Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,10,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.9059675764\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.8 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.10.e.a.7.8 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −20.2233 | − | 7.36069i | −0.893753 | − | 0.325299i | −0.146006 | − | 0.989284i | \(-0.546642\pi\) |
−0.747747 | + | 0.663984i | \(0.768864\pi\) | |||||||
\(3\) | −95.1961 | − | 103.057i | −0.678537 | − | 0.734566i | ||||
\(4\) | −37.4118 | − | 31.3922i | −0.0730699 | − | 0.0613129i | ||||
\(5\) | −358.438 | + | 2032.80i | −0.256477 | + | 1.45456i | 0.535775 | + | 0.844361i | \(0.320020\pi\) |
−0.792252 | + | 0.610194i | \(0.791091\pi\) | |||||||
\(6\) | 1166.61 | + | 2784.86i | 0.367490 | + | 0.877248i | ||||
\(7\) | 8116.71 | − | 6810.73i | 1.27773 | − | 1.07214i | 0.284177 | − | 0.958772i | \(-0.408280\pi\) |
0.993553 | − | 0.113370i | \(-0.0361646\pi\) | |||||||
\(8\) | 6034.95 | + | 10452.8i | 0.520917 | + | 0.902255i | ||||
\(9\) | −1558.40 | + | 19621.2i | −0.0791751 | + | 0.996861i | ||||
\(10\) | 22211.6 | − | 38471.7i | 0.702393 | − | 1.21658i | ||||
\(11\) | 1996.16 | + | 11320.8i | 0.0411081 | + | 0.233136i | 0.998439 | − | 0.0558596i | \(-0.0177899\pi\) |
−0.957331 | + | 0.288995i | \(0.906679\pi\) | |||||||
\(12\) | 326.275 | + | 6843.95i | 0.00454222 | + | 0.0952777i | ||||
\(13\) | −124301. | + | 45241.8i | −1.20706 | + | 0.439334i | −0.865683 | − | 0.500593i | \(-0.833115\pi\) |
−0.341377 | + | 0.939927i | \(0.610893\pi\) | |||||||
\(14\) | −214278. | + | 77991.0i | −1.49074 | + | 0.542586i | ||||
\(15\) | 243616. | − | 156575.i | 1.24250 | − | 0.798570i | ||||
\(16\) | −40764.6 | − | 231188.i | −0.155505 | − | 0.881911i | ||||
\(17\) | 243840. | − | 422343.i | 0.708084 | − | 1.22644i | −0.257482 | − | 0.966283i | \(-0.582893\pi\) |
0.965567 | − | 0.260155i | \(-0.0837737\pi\) | |||||||
\(18\) | 175942. | − | 385335.i | 0.395041 | − | 0.865192i | ||||
\(19\) | 8347.45 | + | 14458.2i | 0.0146948 | + | 0.0254521i | 0.873279 | − | 0.487220i | \(-0.161989\pi\) |
−0.858585 | + | 0.512672i | \(0.828656\pi\) | |||||||
\(20\) | 77224.0 | − | 64798.6i | 0.107924 | − | 0.0905588i | ||||
\(21\) | −1.47457e6 | − | 188127.i | −1.65455 | − | 0.211089i | ||||
\(22\) | 42959.7 | − | 243637.i | 0.0390984 | − | 0.221738i | ||||
\(23\) | −292565. | − | 245491.i | −0.217995 | − | 0.182920i | 0.527250 | − | 0.849710i | \(-0.323223\pi\) |
−0.745245 | + | 0.666790i | \(0.767668\pi\) | |||||||
\(24\) | 502733. | − | 1.61701e6i | 0.309305 | − | 0.994862i | ||||
\(25\) | −2.16847e6 | − | 789259.i | −1.11026 | − | 0.404101i | ||||
\(26\) | 2.84678e6 | 1.22173 | ||||||||
\(27\) | 2.17045e6 | − | 1.70726e6i | 0.785983 | − | 0.618248i | ||||
\(28\) | −517464. | −0.159100 | ||||||||
\(29\) | 1.48849e6 | + | 541768.i | 0.390802 | + | 0.142240i | 0.529945 | − | 0.848032i | \(-0.322213\pi\) |
−0.139143 | + | 0.990272i | \(0.544435\pi\) | |||||||
\(30\) | −6.07923e6 | + | 1.37329e6i | −1.37026 | + | 0.309541i | ||||
\(31\) | 104510. | + | 87694.3i | 0.0203250 | + | 0.0170547i | 0.652894 | − | 0.757450i | \(-0.273555\pi\) |
−0.632569 | + | 0.774504i | \(0.717999\pi\) | |||||||
\(32\) | 195806. | − | 1.11047e6i | 0.0330104 | − | 0.187211i | ||||
\(33\) | 976656. | − | 1.28341e6i | 0.143360 | − | 0.188388i | ||||
\(34\) | −8.03999e6 | + | 6.74636e6i | −1.03181 | + | 0.865793i | ||||
\(35\) | 1.09355e7 | + | 1.89409e7i | 1.23178 | + | 2.13351i | ||||
\(36\) | 674256. | − | 685143.i | 0.0669057 | − | 0.0679860i | ||||
\(37\) | 9.09408e6 | − | 1.57514e7i | 0.797721 | − | 1.38169i | −0.123376 | − | 0.992360i | \(-0.539372\pi\) |
0.921097 | − | 0.389333i | \(-0.127295\pi\) | |||||||
\(38\) | −62390.9 | − | 353836.i | −0.00485394 | − | 0.0275281i | ||||
\(39\) | 1.64954e7 | + | 8.50320e6i | 1.14175 | + | 0.588561i | ||||
\(40\) | −2.34117e7 | + | 8.52117e6i | −1.44598 | + | 0.526295i | ||||
\(41\) | −1.69679e7 | + | 6.17580e6i | −0.937778 | + | 0.341323i | −0.765288 | − | 0.643688i | \(-0.777403\pi\) |
−0.172490 | + | 0.985011i | \(0.555181\pi\) | |||||||
\(42\) | 2.84360e7 | + | 1.46584e7i | 1.41009 | + | 0.726884i | ||||
\(43\) | 643562. | + | 3.64982e6i | 0.0287066 | + | 0.162803i | 0.995791 | − | 0.0916522i | \(-0.0292148\pi\) |
−0.967084 | + | 0.254456i | \(0.918104\pi\) | |||||||
\(44\) | 280704. | − | 486194.i | 0.0112905 | − | 0.0195557i | ||||
\(45\) | −3.93275e7 | − | 1.02009e7i | −1.42968 | − | 0.370837i | ||||
\(46\) | 4.10966e6 | + | 7.11813e6i | 0.135330 | + | 0.234399i | ||||
\(47\) | 3.49186e7 | − | 2.93002e7i | 1.04380 | − | 0.875851i | 0.0513705 | − | 0.998680i | \(-0.483641\pi\) |
0.992428 | + | 0.122829i | \(0.0391966\pi\) | |||||||
\(48\) | −1.99448e7 | + | 2.62092e7i | −0.542306 | + | 0.712637i | ||||
\(49\) | 1.24876e7 | − | 7.08209e7i | 0.309455 | − | 1.75501i | ||||
\(50\) | 3.80442e7 | + | 3.19229e7i | 0.860842 | + | 0.722333i | ||||
\(51\) | −6.67380e7 | + | 1.50761e7i | −1.38136 | + | 0.312049i | ||||
\(52\) | 6.07055e6 | + | 2.20950e6i | 0.115137 | + | 0.0419063i | ||||
\(53\) | −2.21455e7 | −0.385518 | −0.192759 | − | 0.981246i | \(-0.561744\pi\) | ||||
−0.192759 | + | 0.981246i | \(0.561744\pi\) | |||||||
\(54\) | −5.64604e7 | + | 1.85504e7i | −0.903591 | + | 0.296881i | ||||
\(55\) | −2.37284e7 | −0.349652 | ||||||||
\(56\) | 1.20175e8 | + | 4.37403e7i | 1.63294 | + | 0.594341i | ||||
\(57\) | 695372. | − | 2.23663e6i | 0.00872530 | − | 0.0280645i | ||||
\(58\) | −2.61145e7 | − | 2.19127e7i | −0.303009 | − | 0.254255i | ||||
\(59\) | 1.26658e7 | − | 7.18316e7i | 0.136082 | − | 0.771758i | −0.838019 | − | 0.545642i | \(-0.816286\pi\) |
0.974100 | − | 0.226116i | \(-0.0726029\pi\) | |||||||
\(60\) | −1.40294e7 | − | 1.78988e6i | −0.139752 | − | 0.0178297i | ||||
\(61\) | 9.09230e7 | − | 7.62935e7i | 0.840794 | − | 0.705510i | −0.116948 | − | 0.993138i | \(-0.537311\pi\) |
0.957742 | + | 0.287628i | \(0.0928668\pi\) | |||||||
\(62\) | −1.46805e6 | − | 2.54274e6i | −0.0126176 | − | 0.0218544i | ||||
\(63\) | 1.20986e8 | + | 1.69874e8i | 0.967612 | + | 1.35861i | ||||
\(64\) | −7.22307e7 | + | 1.25107e8i | −0.538161 | + | 0.932121i | ||||
\(65\) | −4.74135e7 | − | 2.68895e8i | −0.329452 | − | 1.86841i | ||||
\(66\) | −2.91980e7 | + | 1.87660e7i | −0.189411 | + | 0.121737i | ||||
\(67\) | 2.03580e8 | − | 7.40972e7i | 1.23424 | − | 0.449226i | 0.359192 | − | 0.933264i | \(-0.383052\pi\) |
0.875047 | + | 0.484038i | \(0.160830\pi\) | |||||||
\(68\) | −2.23808e7 | + | 8.14594e6i | −0.126936 | + | 0.0462010i | ||||
\(69\) | 2.55152e6 | + | 5.35207e7i | 0.0135512 | + | 0.284250i | ||||
\(70\) | −8.17348e7 | − | 4.63541e8i | −0.406879 | − | 2.30753i | ||||
\(71\) | 2.45310e7 | − | 4.24889e7i | 0.114565 | − | 0.198432i | −0.803041 | − | 0.595924i | \(-0.796786\pi\) |
0.917606 | + | 0.397492i | \(0.130119\pi\) | |||||||
\(72\) | −2.14502e8 | + | 1.02123e8i | −0.940667 | + | 0.447846i | ||||
\(73\) | −1.87344e8 | − | 3.24489e8i | −0.772123 | − | 1.33736i | −0.936398 | − | 0.350941i | \(-0.885862\pi\) |
0.164275 | − | 0.986415i | \(-0.447472\pi\) | |||||||
\(74\) | −2.99854e8 | + | 2.51607e8i | −1.16243 | + | 0.975394i | ||||
\(75\) | 1.25092e8 | + | 2.98610e8i | 0.456512 | + | 1.08976i | ||||
\(76\) | 141582. | − | 802952.i | 0.000486796 | − | 0.00276076i | ||||
\(77\) | 9.33049e7 | + | 7.82921e7i | 0.302480 | + | 0.253811i | ||||
\(78\) | −2.71003e8 | − | 2.93380e8i | −0.828988 | − | 0.897440i | ||||
\(79\) | −5.33276e8 | − | 1.94097e8i | −1.54039 | − | 0.560656i | −0.574251 | − | 0.818679i | \(-0.694707\pi\) |
−0.966139 | + | 0.258024i | \(0.916929\pi\) | |||||||
\(80\) | 4.84570e8 | 1.32267 | ||||||||
\(81\) | −3.82563e8 | − | 6.11555e7i | −0.987463 | − | 0.157853i | ||||
\(82\) | 3.88605e8 | 0.949174 | ||||||||
\(83\) | 7.04727e8 | + | 2.56500e8i | 1.62993 | + | 0.593246i | 0.985237 | − | 0.171194i | \(-0.0547626\pi\) |
0.644694 | + | 0.764441i | \(0.276985\pi\) | |||||||
\(84\) | 4.92606e7 | + | 5.33282e7i | 0.107955 | + | 0.116869i | ||||
\(85\) | 7.71139e8 | + | 6.47063e8i | 1.60231 | + | 1.34450i | ||||
\(86\) | 1.38502e7 | − | 7.85486e7i | 0.0273032 | − | 0.154844i | ||||
\(87\) | −8.58660e7 | − | 2.04974e8i | −0.160688 | − | 0.383585i | ||||
\(88\) | −1.06288e8 | + | 8.91858e7i | −0.188934 | + | 0.158534i | ||||
\(89\) | 1.57565e8 | + | 2.72910e8i | 0.266198 | + | 0.461068i | 0.967877 | − | 0.251425i | \(-0.0808992\pi\) |
−0.701679 | + | 0.712493i | \(0.747566\pi\) | |||||||
\(90\) | 7.20246e8 | + | 4.95773e8i | 1.15715 | + | 0.796511i | ||||
\(91\) | −7.00784e8 | + | 1.21379e9i | −1.07127 | + | 1.85549i | ||||
\(92\) | 3.23887e6 | + | 1.83685e7i | 0.00471355 | + | 0.0267319i | ||||
\(93\) | −911452. | − | 1.91186e7i | −0.00126346 | − | 0.0265023i | ||||
\(94\) | −9.21840e8 | + | 3.35522e8i | −1.21781 | + | 0.443247i | ||||
\(95\) | −3.23827e7 | + | 1.17864e7i | −0.0407903 | + | 0.0148465i | ||||
\(96\) | −1.33081e8 | + | 8.55332e7i | −0.159918 | + | 0.102781i | ||||
\(97\) | −3.05789e7 | − | 1.73422e8i | −0.0350711 | − | 0.198898i | 0.962238 | − | 0.272210i | \(-0.0877544\pi\) |
−0.997309 | + | 0.0733114i | \(0.976643\pi\) | |||||||
\(98\) | −7.73832e8 | + | 1.34032e9i | −0.847479 | + | 1.46788i | ||||
\(99\) | −2.25238e8 | + | 2.15247e7i | −0.235659 | + | 0.0225205i | ||||
\(100\) | 5.63498e7 | + | 9.76007e7i | 0.0563498 | + | 0.0976007i | ||||
\(101\) | 1.09530e9 | − | 9.19070e8i | 1.04734 | − | 0.878825i | 0.0545310 | − | 0.998512i | \(-0.482634\pi\) |
0.992812 | + | 0.119687i | \(0.0381892\pi\) | |||||||
\(102\) | 1.46063e9 | + | 1.86349e8i | 1.33611 | + | 0.170462i | ||||
\(103\) | 1.83735e8 | − | 1.04201e9i | 0.160851 | − | 0.912233i | −0.792388 | − | 0.610017i | \(-0.791163\pi\) |
0.953240 | − | 0.302216i | \(-0.0977263\pi\) | |||||||
\(104\) | −1.22305e9 | − | 1.02626e9i | −1.02517 | − | 0.860219i | ||||
\(105\) | 9.10968e8 | − | 2.93008e9i | 0.731394 | − | 2.35249i | ||||
\(106\) | 4.47856e8 | + | 1.63006e8i | 0.344558 | + | 0.125409i | ||||
\(107\) | −1.05284e9 | −0.776487 | −0.388244 | − | 0.921557i | \(-0.626918\pi\) | ||||
−0.388244 | + | 0.921557i | \(0.626918\pi\) | |||||||
\(108\) | −1.34795e8 | − | 4.26372e6i | −0.0953383 | − | 0.00301566i | ||||
\(109\) | 1.17144e9 | 0.794880 | 0.397440 | − | 0.917628i | \(-0.369899\pi\) | ||||
0.397440 | + | 0.917628i | \(0.369899\pi\) | |||||||
\(110\) | 4.79867e8 | + | 1.74657e8i | 0.312503 | + | 0.113742i | ||||
\(111\) | −2.48901e9 | + | 5.62266e8i | −1.55623 | + | 0.351551i | ||||
\(112\) | −1.90543e9 | − | 1.59885e9i | −1.14423 | − | 0.960120i | ||||
\(113\) | −5.17745e8 | + | 2.93628e9i | −0.298719 | + | 1.69412i | 0.352972 | + | 0.935634i | \(0.385171\pi\) |
−0.651691 | + | 0.758485i | \(0.725940\pi\) | |||||||
\(114\) | −3.05258e7 | + | 4.01136e7i | −0.0169276 | + | 0.0222444i | ||||
\(115\) | 6.03902e8 | − | 5.06734e8i | 0.321978 | − | 0.270172i | ||||
\(116\) | −3.86799e7 | − | 6.69956e7i | −0.0198347 | − | 0.0343546i | ||||
\(117\) | −6.93988e8 | − | 2.50944e9i | −0.342386 | − | 1.23805i | ||||
\(118\) | −7.84875e8 | + | 1.35944e9i | −0.372676 | + | 0.645494i | ||||
\(119\) | −8.97287e8 | − | 5.08877e9i | −0.410176 | − | 2.32622i | ||||
\(120\) | 3.10687e9 | + | 1.60155e9i | 1.36775 | + | 0.705060i | ||||
\(121\) | 2.09157e9 | − | 7.61270e8i | 0.887030 | − | 0.322853i | ||||
\(122\) | −2.40034e9 | + | 8.73651e8i | −0.980964 | + | 0.357042i | ||||
\(123\) | 2.25173e9 | + | 1.16074e9i | 0.887042 | + | 0.457260i | ||||
\(124\) | −1.15699e6 | − | 6.56160e6i | −0.000439472 | − | 0.00249237i | ||||
\(125\) | 3.65888e8 | − | 6.33737e8i | 0.134046 | − | 0.232174i | ||||
\(126\) | −1.19635e9 | − | 4.32594e9i | −0.422853 | − | 1.52902i | ||||
\(127\) | 1.39132e9 | + | 2.40984e9i | 0.474582 | + | 0.822000i | 0.999576 | − | 0.0291058i | \(-0.00926596\pi\) |
−0.524994 | + | 0.851106i | \(0.675933\pi\) | |||||||
\(128\) | 1.93936e9 | − | 1.62731e9i | 0.638577 | − | 0.535830i | ||||
\(129\) | 3.14874e8 | − | 4.13772e8i | 0.100111 | − | 0.131555i | ||||
\(130\) | −1.02040e9 | + | 5.78695e9i | −0.313346 | + | 1.77707i | ||||
\(131\) | −1.23235e9 | − | 1.03406e9i | −0.365604 | − | 0.306779i | 0.441415 | − | 0.897303i | \(-0.354477\pi\) |
−0.807020 | + | 0.590524i | \(0.798921\pi\) | |||||||
\(132\) | −7.68275e7 | + | 1.73553e7i | −0.0220259 | + | 0.00497564i | ||||
\(133\) | 1.66225e8 | + | 6.05009e7i | 0.0460642 | + | 0.0167660i | ||||
\(134\) | −4.66248e9 | −1.24924 | ||||||||
\(135\) | 2.69255e9 | + | 5.02405e9i | 0.697688 | + | 1.30182i | ||||
\(136\) | 5.88625e9 | 1.47541 | ||||||||
\(137\) | −4.03797e9 | − | 1.46970e9i | −0.979311 | − | 0.356440i | −0.197739 | − | 0.980255i | \(-0.563360\pi\) |
−0.781572 | + | 0.623815i | \(0.785582\pi\) | |||||||
\(138\) | 3.42349e8 | − | 1.10115e9i | 0.0803550 | − | 0.258457i | ||||
\(139\) | 3.56099e9 | + | 2.98803e9i | 0.809104 | + | 0.678919i | 0.950394 | − | 0.311049i | \(-0.100680\pi\) |
−0.141290 | + | 0.989968i | \(0.545125\pi\) | |||||||
\(140\) | 1.85479e8 | − | 1.05190e9i | 0.0408055 | − | 0.231419i | ||||
\(141\) | −6.34370e9 | − | 8.09336e8i | −1.35163 | − | 0.172442i | ||||
\(142\) | −8.08845e8 | + | 6.78701e8i | −0.166943 | + | 0.140082i | ||||
\(143\) | −7.60296e8 | − | 1.31687e9i | −0.152044 | − | 0.263349i | ||||
\(144\) | 4.59971e9 | − | 4.39567e8i | 0.891454 | − | 0.0851911i | ||||
\(145\) | −1.63484e9 | + | 2.83163e9i | −0.307128 | + | 0.531961i | ||||
\(146\) | 1.40025e9 | + | 7.94122e9i | 0.255046 | + | 1.44644i | ||||
\(147\) | −8.48735e9 | + | 5.45494e9i | −1.49915 | + | 0.963522i | ||||
\(148\) | −8.34697e8 | + | 3.03805e8i | −0.143005 | + | 0.0520496i | ||||
\(149\) | 2.28837e9 | − | 8.32897e8i | 0.380353 | − | 0.138437i | −0.144766 | − | 0.989466i | \(-0.546243\pi\) |
0.525119 | + | 0.851029i | \(0.324021\pi\) | |||||||
\(150\) | −3.31791e8 | − | 6.95965e9i | −0.0535123 | − | 1.12248i | ||||
\(151\) | −1.81635e9 | − | 1.03010e10i | −0.284317 | − | 1.61244i | −0.707714 | − | 0.706499i | \(-0.750273\pi\) |
0.423396 | − | 0.905945i | \(-0.360838\pi\) | |||||||
\(152\) | −1.00753e8 | + | 1.74509e8i | −0.0153095 | + | 0.0265169i | ||||
\(153\) | 7.90689e9 | + | 5.44262e9i | 1.16653 | + | 0.802965i | ||||
\(154\) | −1.31065e9 | − | 2.27011e9i | −0.187778 | − | 0.325240i | ||||
\(155\) | −2.15726e8 | + | 1.81015e8i | −0.0300199 | + | 0.0251897i | ||||
\(156\) | −3.50189e8 | − | 8.35947e8i | −0.0473415 | − | 0.113010i | ||||
\(157\) | −1.26531e9 | + | 7.17591e9i | −0.166206 | + | 0.942603i | 0.781606 | + | 0.623773i | \(0.214401\pi\) |
−0.947812 | + | 0.318830i | \(0.896710\pi\) | |||||||
\(158\) | 9.35594e9 | + | 7.85056e9i | 1.19435 | + | 1.00218i | ||||
\(159\) | 2.10817e9 | + | 2.28225e9i | 0.261588 | + | 0.283188i | ||||
\(160\) | 2.18718e9 | + | 7.96069e8i | 0.263842 | + | 0.0960308i | ||||
\(161\) | −4.04664e9 | −0.474655 | ||||||||
\(162\) | 7.28655e9 | + | 4.05270e9i | 0.831198 | + | 0.462303i | ||||
\(163\) | 6.30867e9 | 0.699993 | 0.349997 | − | 0.936751i | \(-0.386183\pi\) | ||||
0.349997 | + | 0.936751i | \(0.386183\pi\) | |||||||
\(164\) | 8.28670e8 | + | 3.01611e8i | 0.0894508 | + | 0.0325574i | ||||
\(165\) | 2.25885e9 | + | 2.44537e9i | 0.237252 | + | 0.256843i | ||||
\(166\) | −1.23639e10 | − | 1.03745e10i | −1.26377 | − | 1.06043i | ||||
\(167\) | −1.27582e9 | + | 7.23556e9i | −0.126931 | + | 0.719860i | 0.853212 | + | 0.521565i | \(0.174652\pi\) |
−0.980142 | + | 0.198295i | \(0.936460\pi\) | |||||||
\(168\) | −6.93250e9 | − | 1.65488e10i | −0.671426 | − | 1.60278i | ||||
\(169\) | 5.28034e9 | − | 4.43073e9i | 0.497934 | − | 0.417816i | ||||
\(170\) | −1.08322e10 | − | 1.87619e10i | −0.994708 | − | 1.72288i | ||||
\(171\) | −2.96696e8 | + | 1.41255e8i | −0.0265356 | + | 0.0126335i | ||||
\(172\) | 9.04991e7 | − | 1.56749e8i | 0.00788436 | − | 0.0136561i | ||||
\(173\) | 1.91429e9 | + | 1.08565e10i | 0.162480 | + | 0.921469i | 0.951625 | + | 0.307262i | \(0.0994129\pi\) |
−0.789145 | + | 0.614207i | \(0.789476\pi\) | |||||||
\(174\) | 2.27750e8 | + | 4.77728e9i | 0.0188359 | + | 0.395102i | ||||
\(175\) | −2.29763e10 | + | 8.36269e9i | −1.85186 | + | 0.674023i | ||||
\(176\) | 2.53585e9 | − | 9.22973e8i | 0.199212 | − | 0.0725074i | ||||
\(177\) | −8.60847e9 | + | 5.53278e9i | −0.659244 | + | 0.423705i | ||||
\(178\) | −1.17768e9 | − | 6.67894e9i | −0.0879298 | − | 0.498675i | ||||
\(179\) | 1.65732e9 | − | 2.87056e9i | 0.120661 | − | 0.208991i | −0.799368 | − | 0.600842i | \(-0.794832\pi\) |
0.920029 | + | 0.391851i | \(0.128165\pi\) | |||||||
\(180\) | 1.15108e9 | + | 1.61621e9i | 0.0817296 | + | 0.114755i | ||||
\(181\) | −4.41579e7 | − | 7.64837e7i | −0.00305812 | − | 0.00529682i | 0.864492 | − | 0.502646i | \(-0.167640\pi\) |
−0.867550 | + | 0.497349i | \(0.834307\pi\) | |||||||
\(182\) | 2.31065e10 | − | 1.93887e10i | 1.56104 | − | 1.30987i | ||||
\(183\) | −1.65181e10 | − | 2.10739e9i | −1.08875 | − | 0.138904i | ||||
\(184\) | 8.00466e8 | − | 4.53967e9i | 0.0514828 | − | 0.291974i | ||||
\(185\) | 2.87598e10 | + | 2.41324e10i | 1.80515 | + | 1.51470i | ||||
\(186\) | −1.22294e8 | + | 3.93351e8i | −0.00749196 | + | 0.0240975i | ||||
\(187\) | 5.26800e9 | + | 1.91739e9i | 0.315035 | + | 0.114663i | ||||
\(188\) | −2.22617e9 | −0.129971 | ||||||||
\(189\) | 5.98926e9 | − | 2.86397e10i | 0.341425 | − | 1.63264i | ||||
\(190\) | 7.41642e8 | 0.0412860 | ||||||||
\(191\) | 1.16337e10 | + | 4.23432e9i | 0.632511 | + | 0.230215i | 0.638324 | − | 0.769768i | \(-0.279628\pi\) |
−0.00581308 | + | 0.999983i | \(0.501850\pi\) | |||||||
\(192\) | 1.97692e10 | − | 4.46586e9i | 1.04987 | − | 0.237164i | ||||
\(193\) | −9.54254e9 | − | 8.00714e9i | −0.495058 | − | 0.415403i | 0.360777 | − | 0.932652i | \(-0.382512\pi\) |
−0.855835 | + | 0.517249i | \(0.826956\pi\) | |||||||
\(194\) | −6.58096e8 | + | 3.73225e9i | −0.0333566 | + | 0.189175i | ||||
\(195\) | −2.31979e10 | + | 3.04841e10i | −1.14893 | + | 1.50979i | ||||
\(196\) | −2.69041e9 | + | 2.25752e9i | −0.130216 | + | 0.109265i | ||||
\(197\) | −9.21489e8 | − | 1.59607e9i | −0.0435905 | − | 0.0755010i | 0.843407 | − | 0.537275i | \(-0.180546\pi\) |
−0.886997 | + | 0.461774i | \(0.847213\pi\) | |||||||
\(198\) | 4.71350e9 | + | 1.22261e9i | 0.217946 | + | 0.0565318i | ||||
\(199\) | 1.38449e10 | − | 2.39801e10i | 0.625822 | − | 1.08396i | −0.362559 | − | 0.931961i | \(-0.618097\pi\) |
0.988381 | − | 0.151995i | \(-0.0485699\pi\) | |||||||
\(200\) | −4.83662e9 | − | 2.74298e10i | −0.213750 | − | 1.21224i | ||||
\(201\) | −2.70163e10 | − | 1.39266e10i | −1.16746 | − | 0.601813i | ||||
\(202\) | −2.89157e10 | + | 1.05244e10i | −1.22195 | + | 0.444752i | ||||
\(203\) | 1.57715e10 | − | 5.74036e9i | 0.651840 | − | 0.237250i | ||||
\(204\) | 2.97006e9 | + | 1.53103e9i | 0.120069 | + | 0.0618939i | ||||
\(205\) | −6.47225e9 | − | 3.67060e10i | −0.255955 | − | 1.45159i | ||||
\(206\) | −1.13857e10 | + | 1.97206e10i | −0.440510 | + | 0.762986i | ||||
\(207\) | 5.27277e9 | − | 5.35791e9i | 0.199605 | − | 0.202828i | ||||
\(208\) | 1.55264e10 | + | 2.68925e10i | 0.575156 | + | 0.996200i | ||||
\(209\) | −1.47015e8 | + | 1.23360e8i | −0.00532972 | + | 0.00447216i | ||||
\(210\) | −3.99902e10 | + | 5.25506e10i | −1.41895 | + | 1.86462i | ||||
\(211\) | 6.60699e9 | − | 3.74701e10i | 0.229474 | − | 1.30141i | −0.624472 | − | 0.781047i | \(-0.714686\pi\) |
0.853946 | − | 0.520362i | \(-0.174203\pi\) | |||||||
\(212\) | 8.28503e8 | + | 6.95197e8i | 0.0281697 | + | 0.0236372i | ||||
\(213\) | −6.71402e9 | + | 1.51669e9i | −0.223498 | + | 0.0504882i | ||||
\(214\) | 2.12919e10 | + | 7.74961e9i | 0.693988 | + | 0.252591i | ||||
\(215\) | −7.65004e9 | −0.244169 | ||||||||
\(216\) | 3.09443e10 | + | 1.23842e10i | 0.967250 | + | 0.387102i | ||||
\(217\) | 1.44554e9 | 0.0442549 | ||||||||
\(218\) | −2.36904e10 | − | 8.62262e9i | −0.710426 | − | 0.258574i | ||||
\(219\) | −1.56064e10 | + | 5.01971e10i | −0.458462 | + | 1.47462i | ||||
\(220\) | 8.87721e8 | + | 7.44887e8i | 0.0255490 | + | 0.0214382i | ||||
\(221\) | −1.12019e10 | + | 6.35294e10i | −0.315884 | + | 1.79147i | ||||
\(222\) | 5.44747e10 | + | 6.94994e9i | 1.50524 | + | 0.192040i | ||||
\(223\) | −4.22748e9 | + | 3.54728e9i | −0.114475 | + | 0.0960557i | −0.698228 | − | 0.715875i | \(-0.746028\pi\) |
0.583753 | + | 0.811931i | \(0.301583\pi\) | |||||||
\(224\) | −5.97380e9 | − | 1.03469e10i | −0.158539 | − | 0.274597i | ||||
\(225\) | 1.88656e10 | − | 4.13181e10i | 0.490737 | − | 1.07478i | ||||
\(226\) | 3.20835e10 | − | 5.55703e10i | 0.818077 | − | 1.41695i | ||||
\(227\) | −2.79744e9 | − | 1.58651e10i | −0.0699269 | − | 0.396575i | −0.999602 | − | 0.0281957i | \(-0.991024\pi\) |
0.929676 | − | 0.368379i | \(-0.120087\pi\) | |||||||
\(228\) | −9.62278e7 | + | 6.18469e7i | −0.00235827 | + | 0.00151569i | ||||
\(229\) | −2.60243e10 | + | 9.47207e9i | −0.625344 | + | 0.227607i | −0.635204 | − | 0.772345i | \(-0.719084\pi\) |
0.00985928 | + | 0.999951i | \(0.496862\pi\) | |||||||
\(230\) | −1.59428e10 | + | 5.80271e9i | −0.375655 | + | 0.136727i | ||||
\(231\) | −8.13730e8 | − | 1.70688e10i | −0.0188030 | − | 0.394411i | ||||
\(232\) | 3.31998e9 | + | 1.88285e10i | 0.0752384 | + | 0.426698i | ||||
\(233\) | 2.61537e10 | − | 4.52996e10i | 0.581342 | − | 1.00691i | −0.413978 | − | 0.910287i | \(-0.635861\pi\) |
0.995321 | − | 0.0966276i | \(-0.0308056\pi\) | |||||||
\(234\) | −4.43644e9 | + | 5.58574e10i | −0.0967304 | + | 1.21789i | ||||
\(235\) | 4.70454e10 | + | 8.14850e10i | 1.00626 | + | 1.74290i | ||||
\(236\) | −2.72880e9 | + | 2.28974e9i | −0.0572622 | + | 0.0480487i | ||||
\(237\) | 3.07629e10 | + | 7.34350e10i | 0.633372 | + | 1.51194i | ||||
\(238\) | −1.93107e10 | + | 1.09516e11i | −0.390123 | + | 2.21250i | ||||
\(239\) | −5.68809e10 | − | 4.77287e10i | −1.12765 | − | 0.946214i | −0.128688 | − | 0.991685i | \(-0.541077\pi\) |
−0.998966 | + | 0.0454715i | \(0.985521\pi\) | |||||||
\(240\) | −4.61292e10 | − | 4.99383e10i | −0.897481 | − | 0.971590i | ||||
\(241\) | 2.43147e10 | + | 8.84982e9i | 0.464293 | + | 0.168989i | 0.563565 | − | 0.826072i | \(-0.309429\pi\) |
−0.0992725 | + | 0.995060i | \(0.531652\pi\) | |||||||
\(242\) | −4.79020e10 | −0.897810 | ||||||||
\(243\) | 3.01160e10 | + | 4.52475e10i | 0.554076 | + | 0.832466i | ||||
\(244\) | −5.79661e9 | −0.104694 | ||||||||
\(245\) | 1.39489e11 | + | 5.07698e10i | 2.47339 | + | 0.900239i | ||||
\(246\) | −3.69937e10 | − | 4.00484e10i | −0.644050 | − | 0.697231i | ||||
\(247\) | −1.69171e9 | − | 1.41951e9i | −0.0289194 | − | 0.0242663i | ||||
\(248\) | −2.85942e8 | + | 1.62166e9i | −0.00480005 | + | 0.0272224i | ||||
\(249\) | −4.06532e10 | − | 9.70446e10i | −0.670190 | − | 1.59983i | ||||
\(250\) | −1.20642e10 | + | 1.01231e10i | −0.195330 | + | 0.163901i | ||||
\(251\) | 1.15077e10 | + | 1.99319e10i | 0.183003 | + | 0.316970i | 0.942902 | − | 0.333071i | \(-0.108085\pi\) |
−0.759899 | + | 0.650041i | \(0.774752\pi\) | |||||||
\(252\) | 8.06418e8 | − | 1.01533e10i | 0.0125967 | − | 0.158600i | ||||
\(253\) | 2.19514e9 | − | 3.80210e9i | 0.0336838 | − | 0.0583420i | ||||
\(254\) | −1.03991e10 | − | 5.89761e10i | −0.156763 | − | 0.889046i | ||||
\(255\) | −6.72525e9 | − | 1.41069e11i | −0.0996043 | − | 2.08930i | ||||
\(256\) | 1.83052e10 | − | 6.66256e9i | 0.266376 | − | 0.0969529i | ||||
\(257\) | 3.67307e10 | − | 1.33689e10i | 0.525206 | − | 0.191159i | −0.0657905 | − | 0.997833i | \(-0.520957\pi\) |
0.590997 | + | 0.806674i | \(0.298735\pi\) | |||||||
\(258\) | −9.41345e9 | + | 6.05016e9i | −0.132270 | + | 0.0850116i | ||||
\(259\) | −3.34646e10 | − | 1.89787e11i | −0.462100 | − | 2.62070i | ||||
\(260\) | −6.66739e9 | + | 1.15483e10i | −0.0904849 | + | 0.156724i | ||||
\(261\) | −1.29498e10 | + | 2.83618e10i | −0.172735 | + | 0.378313i | ||||
\(262\) | 1.73107e10 | + | 2.99830e10i | 0.226965 | + | 0.393115i | ||||
\(263\) | −6.65835e10 | + | 5.58702e10i | −0.858155 | + | 0.720077i | −0.961570 | − | 0.274561i | \(-0.911467\pi\) |
0.103415 | + | 0.994638i | \(0.467023\pi\) | |||||||
\(264\) | 1.93094e10 | + | 2.46351e9i | 0.244653 | + | 0.0312131i | ||||
\(265\) | 7.93780e9 | − | 4.50175e10i | 0.0988766 | − | 0.560757i | ||||
\(266\) | −2.91629e9 | − | 2.44706e9i | −0.0357160 | − | 0.0299693i | ||||
\(267\) | 1.31257e10 | − | 4.22181e10i | 0.158060 | − | 0.508392i | ||||
\(268\) | −9.94237e9 | − | 3.61873e9i | −0.117729 | − | 0.0428499i | ||||
\(269\) | −1.25195e11 | −1.45782 | −0.728908 | − | 0.684612i | \(-0.759972\pi\) | ||||
−0.728908 | + | 0.684612i | \(0.759972\pi\) | |||||||
\(270\) | −1.74718e10 | − | 1.21422e11i | −0.200079 | − | 1.39047i | ||||
\(271\) | −4.95030e10 | −0.557532 | −0.278766 | − | 0.960359i | \(-0.589925\pi\) | ||||
−0.278766 | + | 0.960359i | \(0.589925\pi\) | |||||||
\(272\) | −1.07581e11 | − | 3.91561e10i | −1.19172 | − | 0.433750i | ||||
\(273\) | 1.91802e11 | − | 4.33279e10i | 2.08987 | − | 0.472101i | ||||
\(274\) | 7.08432e10 | + | 5.94445e10i | 0.759312 | + | 0.637139i | ||||
\(275\) | 4.60641e9 | − | 2.61243e10i | 0.0485697 | − | 0.275453i | ||||
\(276\) | 1.58467e9 | − | 2.08240e9i | 0.0164380 | − | 0.0216010i | ||||
\(277\) | −8.56744e10 | + | 7.18893e10i | −0.874363 | + | 0.733678i | −0.965012 | − | 0.262205i | \(-0.915550\pi\) |
0.0906488 | + | 0.995883i | \(0.471106\pi\) | |||||||
\(278\) | −5.00212e10 | − | 8.66392e10i | −0.502287 | − | 0.869987i | ||||
\(279\) | −1.88354e9 | + | 1.91395e9i | −0.0186104 | + | 0.0189109i | ||||
\(280\) | −1.31991e11 | + | 2.28615e11i | −1.28331 | + | 2.22276i | ||||
\(281\) | −6.35247e9 | − | 3.60267e10i | −0.0607805 | − | 0.344704i | −0.999999 | − | 0.00138357i | \(-0.999560\pi\) |
0.939219 | − | 0.343320i | \(-0.111552\pi\) | |||||||
\(282\) | 1.22333e11 | + | 6.30614e10i | 1.15192 | + | 0.593804i | ||||
\(283\) | 1.15960e11 | − | 4.22059e10i | 1.07465 | − | 0.391142i | 0.256739 | − | 0.966481i | \(-0.417352\pi\) |
0.817915 | + | 0.575339i | \(0.195130\pi\) | |||||||
\(284\) | −2.25157e9 | + | 8.19503e8i | −0.0205377 | + | 0.00747512i | ||||
\(285\) | 4.29737e9 | + | 2.21525e9i | 0.0385835 | + | 0.0198893i | ||||
\(286\) | 5.68263e9 | + | 3.22278e10i | 0.0502229 | + | 0.284828i | ||||
\(287\) | −9.56616e10 | + | 1.65691e11i | −0.832279 | + | 1.44155i | ||||
\(288\) | 2.14836e10 | + | 5.57250e9i | 0.184010 | + | 0.0477292i | ||||
\(289\) | −5.96221e10 | − | 1.03268e11i | −0.502767 | − | 0.870818i | ||||
\(290\) | 5.39046e10 | − | 4.52313e10i | 0.447543 | − | 0.375533i | ||||
\(291\) | −1.49613e10 | + | 1.96605e10i | −0.122307 | + | 0.160722i | ||||
\(292\) | −3.17756e9 | + | 1.80208e10i | −0.0255783 | + | 0.145061i | ||||
\(293\) | 4.09450e10 | + | 3.43569e10i | 0.324561 | + | 0.272339i | 0.790479 | − | 0.612489i | \(-0.209831\pi\) |
−0.465918 | + | 0.884828i | \(0.654276\pi\) | |||||||
\(294\) | 2.11794e11 | − | 4.78442e10i | 1.65330 | − | 0.373479i | ||||
\(295\) | 1.41479e11 | + | 5.14943e10i | 1.08766 | + | 0.395877i | ||||
\(296\) | 2.19529e11 | 1.66219 | ||||||||
\(297\) | 2.36600e10 | + | 2.11632e10i | 0.176446 | + | 0.157826i | ||||
\(298\) | −5.24090e10 | −0.384975 | ||||||||
\(299\) | 4.74725e10 | + | 1.72786e10i | 0.343496 | + | 0.125022i | ||||
\(300\) | 4.69414e9 | − | 1.50984e10i | 0.0334588 | − | 0.107618i | ||||
\(301\) | 3.00815e10 | + | 2.52414e10i | 0.211228 | + | 0.177241i | ||||
\(302\) | −3.90901e10 | + | 2.21691e11i | −0.270418 | + | 1.53361i | ||||
\(303\) | −1.98985e11 | − | 2.53867e10i | −1.35622 | − | 0.173027i | ||||
\(304\) | 3.00228e9 | − | 2.51921e9i | 0.0201614 | − | 0.0169174i | ||||
\(305\) | 1.22499e11 | + | 2.12175e11i | 0.810558 | + | 1.40393i | ||||
\(306\) | −1.19842e11 | − | 1.68268e11i | −0.781381 | − | 1.09712i | ||||
\(307\) | −3.63332e10 | + | 6.29309e10i | −0.233443 | + | 0.404335i | −0.958819 | − | 0.284018i | \(-0.908332\pi\) |
0.725376 | + | 0.688353i | \(0.241666\pi\) | |||||||
\(308\) | −1.03294e9 | − | 5.85809e9i | −0.00654029 | − | 0.0370918i | ||||
\(309\) | −1.24877e11 | + | 8.02605e10i | −0.779239 | + | 0.500828i | ||||
\(310\) | 5.69509e9 | − | 2.07284e9i | 0.0350246 | − | 0.0127479i | ||||
\(311\) | −1.06985e11 | + | 3.89393e10i | −0.648486 | + | 0.236029i | −0.645257 | − | 0.763965i | \(-0.723250\pi\) |
−0.00322837 | + | 0.999995i | \(0.501028\pi\) | |||||||
\(312\) | 1.06665e10 | + | 2.23740e11i | 0.0637274 | + | 1.33675i | ||||
\(313\) | −1.93792e10 | − | 1.09905e11i | −0.114126 | − | 0.647242i | −0.987179 | − | 0.159617i | \(-0.948974\pi\) |
0.873053 | − | 0.487626i | \(-0.162137\pi\) | |||||||
\(314\) | 7.84083e10 | − | 1.35807e11i | 0.455175 | − | 0.788387i | ||||
\(315\) | −3.88685e11 | + | 1.85051e11i | −2.22434 | + | 1.05899i | ||||
\(316\) | 1.38577e10 | + | 2.40022e10i | 0.0781806 | + | 0.135413i | ||||
\(317\) | 1.64723e11 | − | 1.38219e11i | 0.916193 | − | 0.768777i | −0.0570940 | − | 0.998369i | \(-0.518183\pi\) |
0.973287 | + | 0.229592i | \(0.0737390\pi\) | |||||||
\(318\) | −2.58352e10 | − | 6.16722e10i | −0.141674 | − | 0.338195i | ||||
\(319\) | −3.16196e9 | + | 1.79324e10i | −0.0170961 | + | 0.0969570i | ||||
\(320\) | −2.28428e11 | − | 1.91674e11i | −1.21780 | − | 1.02185i | ||||
\(321\) | 1.00226e11 | + | 1.08502e11i | 0.526875 | + | 0.570381i | ||||
\(322\) | 8.18365e10 | + | 2.97861e10i | 0.424225 | + | 0.154405i | ||||
\(323\) | 8.14178e9 | 0.0416206 | ||||||||
\(324\) | 1.23926e10 | + | 1.42974e10i | 0.0624753 | + | 0.0720785i | ||||
\(325\) | 3.05250e11 | 1.51768 | ||||||||
\(326\) | −1.27582e11 | − | 4.64362e10i | −0.625621 | − | 0.227707i | ||||
\(327\) | −1.11517e11 | − | 1.20725e11i | −0.539356 | − | 0.583892i | ||||
\(328\) | −1.66955e11 | − | 1.40092e11i | −0.796466 | − | 0.668314i | ||||
\(329\) | 8.38686e10 | − | 4.75642e11i | 0.394655 | − | 2.23820i | ||||
\(330\) | −2.76818e10 | − | 6.60802e10i | −0.128494 | − | 0.306732i | ||||
\(331\) | −2.74008e11 | + | 2.29920e11i | −1.25469 | + | 1.05281i | −0.258465 | + | 0.966021i | \(0.583217\pi\) |
−0.996227 | + | 0.0867905i | \(0.972339\pi\) | |||||||
\(332\) | −1.83130e10 | − | 3.17190e10i | −0.0827252 | − | 0.143284i | ||||
\(333\) | 2.94889e11 | + | 2.02984e11i | 1.31420 | + | 0.904612i | ||||
\(334\) | 7.90601e10 | − | 1.36936e11i | 0.347615 | − | 0.602087i | ||||
\(335\) | 7.76540e10 | + | 4.40398e11i | 0.336870 | + | 1.91048i | ||||
\(336\) | 1.66176e10 | + | 3.48571e11i | 0.0711283 | + | 1.49199i | ||||
\(337\) | 2.23170e11 | − | 8.12271e10i | 0.942542 | − | 0.343057i | 0.175373 | − | 0.984502i | \(-0.443887\pi\) |
0.767169 | + | 0.641445i | \(0.221665\pi\) | |||||||
\(338\) | −1.39399e11 | + | 5.07372e10i | −0.580946 | + | 0.211447i | ||||
\(339\) | 3.51890e11 | − | 2.26165e11i | 1.44713 | − | 0.930093i | ||||
\(340\) | −8.53697e9 | − | 4.84155e10i | −0.0346456 | − | 0.196485i | ||||
\(341\) | −7.84149e8 | + | 1.35819e9i | −0.00314054 | + | 0.00543957i | ||||
\(342\) | 7.03992e9 | − | 6.72765e8i | 0.0278260 | − | 0.00265917i | ||||
\(343\) | −1.67198e11 | − | 2.89595e11i | −0.652239 | − | 1.12971i | ||||
\(344\) | −3.42671e10 | + | 2.87535e10i | −0.131936 | + | 0.110708i | ||||
\(345\) | −1.09711e11 | − | 1.39971e10i | −0.416933 | − | 0.0531927i | ||||
\(346\) | 4.11978e10 | − | 2.33644e11i | 0.154537 | − | 0.876420i | ||||
\(347\) | −1.33042e11 | − | 1.11636e11i | −0.492614 | − | 0.413352i | 0.362348 | − | 0.932043i | \(-0.381975\pi\) |
−0.854962 | + | 0.518691i | \(0.826420\pi\) | |||||||
\(348\) | −3.22217e9 | + | 1.03640e10i | −0.0117772 | + | 0.0378808i | ||||
\(349\) | −1.18532e11 | − | 4.31421e10i | −0.427682 | − | 0.155664i | 0.119205 | − | 0.992870i | \(-0.461965\pi\) |
−0.546888 | + | 0.837206i | \(0.684188\pi\) | |||||||
\(350\) | 5.26212e11 | 1.87437 | ||||||||
\(351\) | −1.92550e11 | + | 3.10409e11i | −0.677112 | + | 1.09157i | ||||
\(352\) | 1.29622e10 | 0.0450026 | ||||||||
\(353\) | −2.45907e11 | − | 8.95029e10i | −0.842918 | − | 0.306797i | −0.115768 | − | 0.993276i | \(-0.536933\pi\) |
−0.727149 | + | 0.686479i | \(0.759155\pi\) | |||||||
\(354\) | 2.14817e11 | − | 4.85270e10i | 0.727032 | − | 0.164236i | ||||
\(355\) | 7.75787e10 | + | 6.50962e10i | 0.259248 | + | 0.217535i | ||||
\(356\) | 2.67248e9 | − | 1.51564e10i | 0.00881838 | − | 0.0500115i | ||||
\(357\) | −4.39014e11 | + | 5.76902e11i | −1.43045 | + | 1.87973i | ||||
\(358\) | −5.46457e10 | + | 4.58532e10i | −0.175826 | + | 0.147535i | ||||
\(359\) | 1.35110e11 | + | 2.34018e11i | 0.429302 | + | 0.743574i | 0.996811 | − | 0.0797935i | \(-0.0254261\pi\) |
−0.567509 | + | 0.823367i | \(0.692093\pi\) | |||||||
\(360\) | −1.30711e11 | − | 4.72646e11i | −0.410157 | − | 1.48311i | ||||
\(361\) | 1.61204e11 | − | 2.79214e11i | 0.499568 | − | 0.865277i | ||||
\(362\) | 3.30047e8 | + | 1.87179e9i | 0.00101015 | + | 0.00572886i | ||||
\(363\) | −2.77563e11 | − | 1.43081e11i | −0.839039 | − | 0.432515i | ||||
\(364\) | 6.43212e10 | − | 2.34110e10i | 0.192043 | − | 0.0698979i | ||||
\(365\) | 7.26773e11 | − | 2.64524e11i | 2.14329 | − | 0.780094i | ||||
\(366\) | 3.18538e11 | + | 1.64203e11i | 0.927891 | + | 0.478317i | ||||
\(367\) | 5.15365e10 | + | 2.92278e11i | 0.148292 | + | 0.841006i | 0.964665 | + | 0.263480i | \(0.0848704\pi\) |
−0.816373 | + | 0.577525i | \(0.804018\pi\) | |||||||
\(368\) | −4.48283e10 | + | 7.76448e10i | −0.127420 | + | 0.220697i | ||||
\(369\) | −9.47339e10 | − | 3.42555e11i | −0.266003 | − | 0.961858i | ||||
\(370\) | −4.03989e11 | − | 6.99729e11i | −1.12063 | − | 1.94098i | ||||
\(371\) | −1.79749e11 | + | 1.50827e11i | −0.492587 | + | 0.413330i | ||||
\(372\) | −5.66077e8 | + | 7.43874e8i | −0.00153261 | + | 0.00201399i | ||||
\(373\) | 5.50203e10 | − | 3.12036e11i | 0.147175 | − | 0.834669i | −0.818421 | − | 0.574620i | \(-0.805150\pi\) |
0.965595 | − | 0.260049i | \(-0.0837389\pi\) | |||||||
\(374\) | −9.24230e10 | − | 7.75521e10i | −0.244263 | − | 0.204961i | ||||
\(375\) | −1.00142e11 | + | 2.26220e10i | −0.261503 | + | 0.0590733i | ||||
\(376\) | 5.17002e11 | + | 1.88174e11i | 1.33397 | + | 0.485527i | ||||
\(377\) | −2.09532e11 | −0.534212 | ||||||||
\(378\) | −3.31931e11 | + | 5.35105e11i | −0.836246 | + | 1.34811i | ||||
\(379\) | −5.63064e11 | −1.40179 | −0.700893 | − | 0.713267i | \(-0.747215\pi\) | ||||
−0.700893 | + | 0.713267i | \(0.747215\pi\) | |||||||
\(380\) | 1.58150e9 | + | 5.75617e8i | 0.00389083 | + | 0.00141614i | ||||
\(381\) | 1.15902e11 | − | 3.72793e11i | 0.281792 | − | 0.906369i | ||||
\(382\) | −2.04105e11 | − | 1.71264e11i | −0.490419 | − | 0.411511i | ||||
\(383\) | −6.91992e10 | + | 3.92448e11i | −0.164326 | + | 0.931939i | 0.785431 | + | 0.618950i | \(0.212442\pi\) |
−0.949757 | + | 0.312989i | \(0.898670\pi\) | |||||||
\(384\) | −3.52325e11 | − | 4.49500e10i | −0.826900 | − | 0.105497i | ||||
\(385\) | −1.92596e11 | + | 1.61608e11i | −0.446761 | + | 0.374877i | ||||
\(386\) | 1.34044e11 | + | 2.32171e11i | 0.307329 | + | 0.532310i | ||||
\(387\) | −7.26168e10 | + | 6.93957e9i | −0.164565 | + | 0.0157265i | ||||
\(388\) | −4.30008e9 | + | 7.44796e9i | −0.00963239 | + | 0.0166838i | ||||
\(389\) | 4.09644e10 | + | 2.32321e11i | 0.0907055 | + | 0.514416i | 0.995979 | + | 0.0895871i | \(0.0285547\pi\) |
−0.905274 | + | 0.424829i | \(0.860334\pi\) | |||||||
\(390\) | 6.93522e11 | − | 4.45737e11i | 1.51799 | − | 0.975635i | ||||
\(391\) | −1.75021e11 | + | 6.37024e10i | −0.378699 | + | 0.137835i | ||||
\(392\) | 8.15642e11 | − | 2.96869e11i | 1.74467 | − | 0.635006i | ||||
\(393\) | 1.07475e10 | + | 2.25440e11i | 0.0227270 | + | 0.476721i | ||||
\(394\) | 6.88743e9 | + | 3.90605e10i | 0.0143987 | + | 0.0816592i | ||||
\(395\) | 5.85707e11 | − | 1.01447e12i | 1.21058 | − | 2.09679i | ||||
\(396\) | 9.10226e9 | + | 6.26544e9i | 0.0186003 | + | 0.0128033i | ||||
\(397\) | 1.58328e11 | + | 2.74232e11i | 0.319890 | + | 0.554066i | 0.980465 | − | 0.196694i | \(-0.0630207\pi\) |
−0.660575 | + | 0.750760i | \(0.729687\pi\) | |||||||
\(398\) | −4.56500e11 | + | 3.83049e11i | −0.911941 | + | 0.765209i | ||||
\(399\) | −9.58893e9 | − | 2.28900e10i | −0.0189405 | − | 0.0452136i | ||||
\(400\) | −9.40701e10 | + | 5.33498e11i | −0.183731 | + | 1.04199i | ||||
\(401\) | −9.47199e10 | − | 7.94794e10i | −0.182933 | − | 0.153499i | 0.546723 | − | 0.837314i | \(-0.315875\pi\) |
−0.729656 | + | 0.683815i | \(0.760320\pi\) | |||||||
\(402\) | 4.43850e11 | + | 4.80500e11i | 0.847654 | + | 0.917648i | ||||
\(403\) | −1.69581e10 | − | 6.17225e9i | −0.0320262 | − | 0.0116566i | ||||
\(404\) | −6.98289e10 | −0.130412 | ||||||||
\(405\) | 2.61442e11 | − | 7.55755e11i | 0.482868 | − | 1.39583i | ||||
\(406\) | −3.61205e11 | −0.659762 | ||||||||
\(407\) | 1.96471e11 | + | 7.15097e10i | 0.354915 | + | 0.129178i | ||||
\(408\) | −5.60348e11 | − | 6.06618e11i | −1.00112 | − | 1.08379i | ||||
\(409\) | 7.53543e11 | + | 6.32297e11i | 1.33154 | + | 1.11729i | 0.983716 | + | 0.179730i | \(0.0575224\pi\) |
0.347820 | + | 0.937561i | \(0.386922\pi\) | |||||||
\(410\) | −1.39291e11 | + | 7.89957e11i | −0.243442 | + | 1.38063i | ||||
\(411\) | 2.32936e11 | + | 5.56050e11i | 0.402670 | + | 0.961227i | ||||
\(412\) | −3.95850e10 | + | 3.32157e10i | −0.0676850 | + | 0.0567945i | ||||
\(413\) | −3.86420e11 | − | 6.69299e11i | −0.653559 | − | 1.13200i | ||||
\(414\) | −1.46071e11 | + | 6.95435e10i | −0.244378 | + | 0.116347i | ||||
\(415\) | −7.74014e11 | + | 1.34063e12i | −1.28095 | + | 2.21867i | ||||
\(416\) | 2.59008e10 | + | 1.46891e11i | 0.0424027 | + | 0.240477i | ||||
\(417\) | −3.10561e10 | − | 6.51433e11i | −0.0502961 | − | 1.05501i | ||||
\(418\) | 3.88115e9 | − | 1.41262e9i | 0.00621824 | − | 0.00226326i | ||||
\(419\) | 1.66721e11 | − | 6.06813e10i | 0.264257 | − | 0.0961816i | −0.206494 | − | 0.978448i | \(-0.566205\pi\) |
0.470751 | + | 0.882266i | \(0.343983\pi\) | |||||||
\(420\) | −1.26063e11 | + | 8.10222e10i | −0.197681 | + | 0.127052i | ||||
\(421\) | 1.93728e10 | + | 1.09869e11i | 0.0300555 | + | 0.170453i | 0.996141 | − | 0.0877702i | \(-0.0279741\pi\) |
−0.966085 | + | 0.258223i | \(0.916863\pi\) | |||||||
\(422\) | −4.09421e11 | + | 7.09138e11i | −0.628440 | + | 1.08849i | ||||
\(423\) | 5.20488e11 | + | 7.30807e11i | 0.790458 | + | 1.10987i | ||||
\(424\) | −1.33647e11 | − | 2.31484e11i | −0.200823 | − | 0.347836i | ||||
\(425\) | −8.62099e11 | + | 7.23387e11i | −1.28176 | + | 1.07553i | ||||
\(426\) | 1.46944e11 | + | 1.87472e10i | 0.216176 | + | 0.0275800i | ||||
\(427\) | 2.18382e11 | − | 1.23850e12i | 0.317900 | − | 1.80290i | ||||
\(428\) | 3.93885e10 | + | 3.30509e10i | 0.0567378 | + | 0.0476087i | ||||
\(429\) | −6.33353e10 | + | 2.03715e11i | −0.0902792 | + | 0.290378i | ||||
\(430\) | 1.54709e11 | + | 5.63096e10i | 0.218227 | + | 0.0794281i | ||||
\(431\) | −6.03841e10 | −0.0842897 | −0.0421449 | − | 0.999112i | \(-0.513419\pi\) | ||||
−0.0421449 | + | 0.999112i | \(0.513419\pi\) | |||||||
\(432\) | −4.83175e11 | − | 4.32186e11i | −0.667463 | − | 0.597027i | ||||
\(433\) | 7.50233e11 | 1.02565 | 0.512827 | − | 0.858492i | \(-0.328598\pi\) | ||||
0.512827 | + | 0.858492i | \(0.328598\pi\) | |||||||
\(434\) | −2.92336e10 | − | 1.06402e10i | −0.0395529 | − | 0.0143961i | ||||
\(435\) | 4.47449e11 | − | 1.01078e11i | 0.599158 | − | 0.135350i | ||||
\(436\) | −4.38257e10 | − | 3.67742e10i | −0.0580818 | − | 0.0487364i | ||||
\(437\) | 1.10719e9 | − | 6.27920e9i | 0.00145230 | − | 0.00823641i | ||||
\(438\) | 6.85098e11 | − | 9.00279e11i | 0.889445 | − | 1.16881i | ||||
\(439\) | 2.70968e11 | − | 2.27369e11i | 0.348199 | − | 0.292174i | −0.451867 | − | 0.892085i | \(-0.649242\pi\) |
0.800066 | + | 0.599911i | \(0.204798\pi\) | |||||||
\(440\) | −1.43200e11 | − | 2.48029e11i | −0.182140 | − | 0.315475i | ||||
\(441\) | 1.37013e12 | + | 3.55390e11i | 1.72500 | + | 0.447437i | ||||
\(442\) | 6.94160e11 | − | 1.20232e12i | 0.865087 | − | 1.49837i | ||||
\(443\) | 4.86482e10 | + | 2.75897e11i | 0.0600136 | + | 0.340354i | 1.00000 | 0.000858900i | \(-0.000273396\pi\) | |
−0.939986 | + | 0.341213i | \(0.889162\pi\) | |||||||
\(444\) | 1.10769e11 | + | 5.71002e10i | 0.135268 | + | 0.0697291i | ||||
\(445\) | −6.11250e11 | + | 2.22477e11i | −0.738923 | + | 0.268946i | ||||
\(446\) | 1.11604e11 | − | 4.06206e10i | 0.133559 | − | 0.0486115i | ||||
\(447\) | −3.03679e11 | − | 1.56543e11i | −0.359775 | − | 0.185460i | ||||
\(448\) | 2.65796e11 | + | 1.50740e12i | 0.311743 | + | 1.76798i | ||||
\(449\) | −7.97080e10 | + | 1.38058e11i | −0.0925537 | + | 0.160308i | −0.908585 | − | 0.417700i | \(-0.862836\pi\) |
0.816031 | + | 0.578008i | \(0.196170\pi\) | |||||||
\(450\) | −6.85654e11 | + | 6.96725e11i | −0.788222 | + | 0.800949i | ||||
\(451\) | −1.03785e11 | − | 1.79762e11i | −0.118125 | − | 0.204598i | ||||
\(452\) | 1.11546e11 | − | 9.35981e10i | 0.125699 | − | 0.105474i | ||||
\(453\) | −8.88682e11 | + | 1.16781e12i | −0.991527 | + | 1.30295i | ||||
\(454\) | −6.02043e10 | + | 3.41435e11i | −0.0665083 | + | 0.377187i | ||||
\(455\) | −2.21621e12 | − | 1.85962e12i | −2.42416 | − | 2.03411i | ||||
\(456\) | 2.75757e10 | − | 6.22932e9i | 0.0298665 | − | 0.00674682i | ||||
\(457\) | 2.65483e11 | + | 9.66279e10i | 0.284717 | + | 0.103629i | 0.480431 | − | 0.877032i | \(-0.340480\pi\) |
−0.195714 | + | 0.980661i | \(0.562702\pi\) | |||||||
\(458\) | 5.96019e11 | 0.632944 | ||||||||
\(459\) | −1.91806e11 | − | 1.33297e12i | −0.201700 | − | 1.40173i | ||||
\(460\) | −3.85005e10 | −0.0400919 | ||||||||
\(461\) | −1.20184e12 | − | 4.37435e11i | −1.23935 | − | 0.451086i | −0.362560 | − | 0.931960i | \(-0.618097\pi\) |
−0.876790 | + | 0.480874i | \(0.840319\pi\) | |||||||
\(462\) | −1.09182e11 | + | 3.51178e11i | −0.111497 | + | 0.358623i | ||||
\(463\) | 7.15490e11 | + | 6.00367e11i | 0.723584 | + | 0.607159i | 0.928374 | − | 0.371647i | \(-0.121207\pi\) |
−0.204790 | + | 0.978806i | \(0.565651\pi\) | |||||||
\(464\) | 6.45721e10 | − | 3.66206e11i | 0.0646716 | − | 0.366771i | ||||
\(465\) | 3.91911e10 | + | 5.00004e9i | 0.0388731 | + | 0.00495947i | ||||
\(466\) | −8.62351e11 | + | 7.23599e11i | −0.847125 | + | 0.710822i | ||||
\(467\) | 2.24705e11 | + | 3.89200e11i | 0.218618 | + | 0.378658i | 0.954386 | − | 0.298576i | \(-0.0965117\pi\) |
−0.735768 | + | 0.677234i | \(0.763178\pi\) | |||||||
\(468\) | −5.28134e10 | + | 1.15668e11i | −0.0508907 | + | 0.111457i | ||||
\(469\) | 1.14775e12 | − | 1.98796e12i | 1.09539 | − | 1.89727i | ||||
\(470\) | −3.51628e11 | − | 1.99418e12i | −0.332386 | − | 1.88506i | ||||
\(471\) | 8.59979e11 | − | 5.52720e11i | 0.805181 | − | 0.517501i | ||||
\(472\) | 8.27282e11 | − | 3.01106e11i | 0.767210 | − | 0.279242i | ||||
\(473\) | −4.00341e10 | + | 1.45712e10i | −0.0367752 | + | 0.0133851i | ||||
\(474\) | −8.15949e10 | − | 1.71154e12i | −0.0742439 | − | 1.55734i | ||||
\(475\) | −6.68994e9 | − | 3.79405e10i | −0.00602978 | − | 0.0341966i | ||||
\(476\) | −1.26179e11 | + | 2.18548e11i | −0.112656 | + | 0.195126i | ||||
\(477\) | 3.45116e10 | − | 4.34522e11i | 0.0305234 | − | 0.384308i | ||||
\(478\) | 7.99004e11 | + | 1.38392e12i | 0.700041 | + | 1.21251i | ||||
\(479\) | 2.85894e11 | − | 2.39893e11i | 0.248139 | − | 0.208213i | −0.510232 | − | 0.860037i | \(-0.670440\pi\) |
0.758370 | + | 0.651824i | \(0.225996\pi\) | |||||||
\(480\) | −1.26171e11 | − | 3.01186e11i | −0.108486 | − | 0.258970i | ||||
\(481\) | −4.17779e11 | + | 2.36934e12i | −0.355872 | + | 2.01825i | ||||
\(482\) | −4.26583e11 | − | 3.57946e11i | −0.359991 | − | 0.302068i | ||||
\(483\) | 3.85225e11 | + | 4.17034e11i | 0.322071 | + | 0.348666i | ||||
\(484\) | −1.02147e11 | − | 3.71786e10i | −0.0846102 | − | 0.0307956i | ||||
\(485\) | 3.63493e11 | 0.298303 | ||||||||
\(486\) | −2.75994e11 | − | 1.13673e12i | −0.224407 | − | 0.924260i | ||||
\(487\) | −5.44380e11 | −0.438553 | −0.219276 | − | 0.975663i | \(-0.570370\pi\) | ||||
−0.219276 | + | 0.975663i | \(0.570370\pi\) | |||||||
\(488\) | 1.34620e12 | + | 4.89976e11i | 1.07453 | + | 0.391098i | ||||
\(489\) | −6.00561e11 | − | 6.50152e11i | −0.474971 | − | 0.514191i | ||||
\(490\) | −2.44723e12 | − | 2.05347e12i | −1.91775 | − | 1.60918i | ||||
\(491\) | 1.29395e10 | − | 7.33835e10i | 0.0100473 | − | 0.0569812i | −0.979372 | − | 0.202066i | \(-0.935234\pi\) |
0.989419 | + | 0.145085i | \(0.0463455\pi\) | |||||||
\(492\) | −4.78031e10 | − | 1.14112e11i | −0.0367801 | − | 0.0877990i | ||||
\(493\) | 5.91767e11 | − | 4.96551e11i | 0.451169 | − | 0.378576i | ||||
\(494\) | 2.37634e10 | + | 4.11594e10i | 0.0179530 | + | 0.0310955i | ||||
\(495\) | 3.69784e10 | − | 4.65580e11i | 0.0276837 | − | 0.348554i | ||||
\(496\) | 1.60135e10 | − | 2.77363e10i | 0.0118801 | − | 0.0205769i | ||||
\(497\) | −9.02695e10 | − | 5.11944e11i | −0.0663647 | − | 0.376373i | ||||
\(498\) | 1.07828e11 | + | 2.26180e12i | 0.0785596 | + | 1.64787i | ||||
\(499\) | 9.80747e11 | − | 3.56963e11i | 0.708116 | − | 0.257733i | 0.0372439 | − | 0.999306i | \(-0.488142\pi\) |
0.670872 | + | 0.741573i | \(0.265920\pi\) | |||||||
\(500\) | −3.35829e10 | + | 1.22232e10i | −0.0240300 | + | 0.00874620i | ||||
\(501\) | 8.67127e11 | − | 5.57315e11i | 0.614912 | − | 0.395213i | ||||
\(502\) | −8.60114e10 | − | 4.87795e11i | −0.0604490 | − | 0.342823i | ||||
\(503\) | −2.08720e11 | + | 3.61513e11i | −0.145381 | + | 0.251807i | −0.929515 | − | 0.368784i | \(-0.879774\pi\) |
0.784134 | + | 0.620591i | \(0.213107\pi\) | |||||||
\(504\) | −1.04552e12 | + | 2.28982e12i | −0.721763 | + | 1.58075i | ||||
\(505\) | 1.47569e12 | + | 2.55597e12i | 1.00968 | + | 1.74882i | ||||
\(506\) | −7.23792e10 | + | 6.07334e10i | −0.0490836 | + | 0.0411860i | ||||
\(507\) | −9.59285e11 | − | 1.22387e11i | −0.644781 | − | 0.0822618i | ||||
\(508\) | 2.35984e10 | − | 1.33833e11i | 0.0157216 | − | 0.0891614i | ||||
\(509\) | 3.99625e11 | + | 3.35325e11i | 0.263890 | + | 0.221430i | 0.765126 | − | 0.643881i | \(-0.222677\pi\) |
−0.501236 | + | 0.865310i | \(0.667121\pi\) | |||||||
\(510\) | −9.02358e11 | + | 2.90239e12i | −0.590627 | + | 1.89972i | ||||
\(511\) | −3.73062e12 | − | 1.35783e12i | −2.42040 | − | 0.880953i | ||||
\(512\) | −1.71544e12 | −1.10322 | ||||||||
\(513\) | 4.28017e10 | + | 1.71296e10i | 0.0272855 | + | 0.0109199i | ||||
\(514\) | −8.41220e11 | −0.531589 | ||||||||
\(515\) | 2.05235e12 | + | 7.46994e11i | 1.28564 | + | 0.467934i | ||||
\(516\) | −2.47692e10 | + | 5.59535e9i | −0.0153811 | + | 0.00347459i | ||||
\(517\) | 4.01404e11 | + | 3.36818e11i | 0.247101 | + | 0.207342i | ||||
\(518\) | −7.20198e11 | + | 4.08444e12i | −0.439509 | + | 2.49258i | ||||
\(519\) | 9.36599e11 | − | 1.23077e12i | 0.566632 | − | 0.744603i | ||||
\(520\) | 2.52458e12 | − | 2.11838e12i | 1.51417 | − | 1.27054i | ||||
\(521\) | 2.08413e11 | + | 3.60982e11i | 0.123924 | + | 0.214643i | 0.921312 | − | 0.388825i | \(-0.127119\pi\) |
−0.797388 | + | 0.603467i | \(0.793785\pi\) | |||||||
\(522\) | 4.70650e11 | − | 4.78250e11i | 0.277448 | − | 0.281927i | ||||
\(523\) | −1.46882e12 | + | 2.54407e12i | −0.858441 | + | 1.48686i | 0.0149738 | + | 0.999888i | \(0.495234\pi\) |
−0.873415 | + | 0.486976i | \(0.838100\pi\) | |||||||
\(524\) | 1.36428e10 | + | 7.73721e10i | 0.00790519 | + | 0.0448325i | ||||
\(525\) | 3.04909e12 | + | 1.57177e12i | 1.75167 | + | 0.902966i | ||||
\(526\) | 1.75778e12 | − | 6.39780e11i | 1.00122 | − | 0.364414i | ||||
\(527\) | 6.25209e10 | − | 2.27557e10i | 0.0353083 | − | 0.0128512i | ||||
\(528\) | −3.36522e11 | − | 1.73473e11i | −0.188434 | − | 0.0971358i | ||||
\(529\) | −2.87438e11 | − | 1.63014e12i | −0.159586 | − | 0.905056i | ||||
\(530\) | −4.91888e11 | + | 8.51975e11i | −0.270785 | + | 0.469014i | ||||
\(531\) | 1.38968e12 | + | 3.60462e11i | 0.758561 | + | 0.196759i | ||||
\(532\) | −4.31951e9 | − | 7.48161e9i | −0.00233793 | − | 0.00404942i | ||||
\(533\) | 1.82972e12 | − | 1.53531e12i | 0.981999 | − | 0.823995i | ||||
\(534\) | −5.76200e11 | + | 7.57177e11i | −0.306646 | + | 0.402960i | ||||
\(535\) | 3.77377e11 | − | 2.14021e12i | 0.199151 | − | 1.12944i | ||||
\(536\) | 2.00312e12 | + | 1.68082e12i | 1.04825 | + | 0.879589i | ||||
\(537\) | −4.53600e11 | + | 1.02468e11i | −0.235391 | + | 0.0531746i | ||||
\(538\) | 2.53186e12 | + | 9.21523e11i | 1.30293 | + | 0.474227i | ||||
\(539\) | 8.26674e11 | 0.421876 | ||||||||
\(540\) | 5.69830e10 | − | 2.72484e11i | 0.0288385 | − | 0.137901i | ||||
\(541\) | −3.08586e12 | −1.54878 | −0.774388 | − | 0.632711i | \(-0.781942\pi\) | ||||
−0.774388 | + | 0.632711i | \(0.781942\pi\) | |||||||
\(542\) | 1.00111e12 | + | 3.64376e11i | 0.498296 | + | 0.181365i | ||||
\(543\) | −3.67851e9 | + | 1.18317e10i | −0.00181582 | + | 0.00584049i | ||||
\(544\) | −4.21254e11 | − | 3.53474e11i | −0.206229 | − | 0.173046i | ||||
\(545\) | −4.19889e11 | + | 2.38131e12i | −0.203869 | + | 1.15620i | ||||
\(546\) | −4.19779e12 | − | 5.35558e11i | −2.02141 | − | 0.257893i | ||||
\(547\) | 7.06610e11 | − | 5.92916e11i | 0.337471 | − | 0.283172i | −0.458265 | − | 0.888816i | \(-0.651529\pi\) |
0.795736 | + | 0.605644i | \(0.207084\pi\) | |||||||
\(548\) | 1.04930e11 | + | 1.81745e11i | 0.0497038 | + | 0.0860894i | ||||
\(549\) | 1.35528e12 | + | 1.90292e12i | 0.636725 | + | 0.894013i | ||||
\(550\) | −2.85449e11 | + | 4.94413e11i | −0.133014 | + | 0.230387i | ||||
\(551\) | 4.59215e9 | + | 2.60434e10i | 0.00212243 | + | 0.0120369i | ||||
\(552\) | −5.44045e11 | + | 3.49665e11i | −0.249407 | + | 0.160297i | ||||
\(553\) | −5.65039e12 | + | 2.05657e12i | −2.56930 | + | 0.935150i | ||||
\(554\) | 2.26178e12 | − | 8.23219e11i | 1.02013 | − | 0.371297i | ||||
\(555\) | −2.50820e11 | − | 5.26121e12i | −0.112213 | − | 2.35379i | ||||
\(556\) | −3.94223e10 | − | 2.23575e11i | −0.0174946 | − | 0.0992171i | ||||
\(557\) | 2.85740e11 | − | 4.94916e11i | 0.125783 | − | 0.217863i | −0.796256 | − | 0.604960i | \(-0.793189\pi\) |
0.922039 | + | 0.387097i | \(0.126522\pi\) | |||||||
\(558\) | 5.21794e10 | − | 2.48423e10i | 0.0227848 | − | 0.0108477i | ||||
\(559\) | −2.45120e11 | − | 4.24560e11i | −0.106176 | − | 0.183902i | ||||
\(560\) | 3.93312e12 | − | 3.30028e12i | 1.69002 | − | 1.41809i | ||||
\(561\) | −3.03892e11 | − | 7.25431e11i | −0.129535 | − | 0.309217i | ||||
\(562\) | −1.36713e11 | + | 7.75338e11i | −0.0578091 | + | 0.327852i | ||||
\(563\) | −2.05907e12 | − | 1.72777e12i | −0.863741 | − | 0.724765i | 0.0990298 | − | 0.995084i | \(-0.468426\pi\) |
−0.962771 | + | 0.270320i | \(0.912871\pi\) | |||||||
\(564\) | 2.11922e11 | + | 2.29421e11i | 0.0881902 | + | 0.0954724i | ||||
\(565\) | −5.78329e12 | − | 2.10495e12i | −2.38757 | − | 0.869006i | ||||
\(566\) | −2.65576e12 | −1.08771 | ||||||||
\(567\) | −3.52167e12 | + | 2.10915e12i | −1.43095 | + | 0.857007i | ||||
\(568\) | 5.92173e11 | 0.238716 | ||||||||
\(569\) | −3.85166e12 | − | 1.40189e12i | −1.54043 | − | 0.560671i | −0.574282 | − | 0.818657i | \(-0.694719\pi\) |
−0.966149 | + | 0.257986i | \(0.916941\pi\) | |||||||
\(570\) | −7.06015e10 | − | 7.64313e10i | −0.0280141 | − | 0.0303273i | ||||
\(571\) | 2.74610e12 | + | 2.30425e12i | 1.08107 | + | 0.907127i | 0.996009 | − | 0.0892490i | \(-0.0284467\pi\) |
0.0850621 | + | 0.996376i | \(0.472891\pi\) | |||||||
\(572\) | −1.28955e10 | + | 7.31338e10i | −0.00503680 | + | 0.0285651i | ||||
\(573\) | −6.71108e11 | − | 1.60202e12i | −0.260074 | − | 0.620830i | ||||
\(574\) | 3.15419e12 | − | 2.64668e12i | 1.21279 | − | 1.01765i | ||||
\(575\) | 4.40663e11 | + | 7.63251e11i | 0.168113 | + | 0.291180i | ||||
\(576\) | −2.34219e12 | − | 1.61222e12i | −0.886586 | − | 0.610272i | ||||
\(577\) | 1.95591e11 | − | 3.38774e11i | 0.0734613 | − | 0.127239i | −0.826955 | − | 0.562268i | \(-0.809929\pi\) |
0.900416 | + | 0.435030i | \(0.143262\pi\) | |||||||
\(578\) | 4.45629e11 | + | 2.52729e12i | 0.166073 | + | 0.941846i | ||||
\(579\) | 8.32223e10 | + | 1.74567e12i | 0.0307742 | + | 0.645519i | ||||
\(580\) | 1.50053e11 | − | 5.46149e10i | 0.0550579 | − | 0.0200394i | ||||
\(581\) | 7.46701e12 | − | 2.71777e12i | 2.71866 | − | 0.989510i | ||||
\(582\) | 4.47282e11 | − | 2.87474e11i | 0.161595 | − | 0.103859i | ||||
\(583\) | −4.42059e10 | − | 2.50704e11i | −0.0158479 | − | 0.0898780i | ||||
\(584\) | 2.26122e12 | − | 3.91655e12i | 0.804424 | − | 1.39330i | ||||
\(585\) | 5.34994e12 | − | 5.11263e11i | 1.88863 | − | 0.180486i | ||||
\(586\) | −5.75153e11 | − | 9.96195e11i | −0.201486 | − | 0.348984i | ||||
\(587\) | 2.24873e10 | − | 1.88691e10i | 0.00781745 | − | 0.00655962i | −0.638871 | − | 0.769314i | \(-0.720598\pi\) |
0.646688 | + | 0.762755i | \(0.276154\pi\) | |||||||
\(588\) | 4.88769e11 | + | 6.23577e10i | 0.168619 | + | 0.0215125i | ||||
\(589\) | −3.95511e8 | + | 2.24305e9i | −0.000135406 | + | 0.000767928i | ||||
\(590\) | −2.48215e12 | − | 2.08277e12i | −0.843323 | − | 0.707632i | ||||
\(591\) | −7.67632e10 | + | 2.46905e11i | −0.0258827 | + | 0.0832503i | ||||
\(592\) | −4.01225e12 | − | 1.46034e12i | −1.34258 | − | 0.488659i | ||||
\(593\) | −1.20473e12 | −0.400076 | −0.200038 | − | 0.979788i | \(-0.564107\pi\) | ||||
−0.200038 | + | 0.979788i | \(0.564107\pi\) | |||||||
\(594\) | −3.22709e11 | − | 6.02145e11i | −0.106358 | − | 0.198455i | ||||
\(595\) | 1.06661e13 | 3.48882 | ||||||||
\(596\) | −1.11758e11 | − | 4.06767e10i | −0.0362804 | − | 0.0132050i | ||||
\(597\) | −3.78929e12 | + | 8.55999e11i | −1.22088 | + | 0.275796i | ||||
\(598\) | −8.32870e11 | − | 6.98861e11i | −0.266331 | − | 0.223478i | ||||
\(599\) | −8.23667e11 | + | 4.67125e12i | −0.261415 | + | 1.48256i | 0.517637 | + | 0.855600i | \(0.326812\pi\) |
−0.779052 | + | 0.626959i | \(0.784299\pi\) | |||||||
\(600\) | −2.36640e12 | + | 3.10966e12i | −0.745432 | + | 0.979563i | ||||
\(601\) | −8.87445e11 | + | 7.44655e11i | −0.277464 | + | 0.232820i | −0.770891 | − | 0.636968i | \(-0.780188\pi\) |
0.493427 | + | 0.869787i | \(0.335744\pi\) | |||||||
\(602\) | −4.22555e11 | − | 7.31886e11i | −0.131129 | − | 0.227122i | ||||
\(603\) | 1.13662e12 | + | 4.10997e12i | 0.350095 | + | 1.26593i | ||||
\(604\) | −2.55419e11 | + | 4.42399e11i | −0.0780886 | + | 0.135253i | ||||
\(605\) | 7.97812e11 | + | 4.52462e12i | 0.242104 | + | 1.37304i | ||||
\(606\) | 3.83728e12 | + | 1.97807e12i | 1.15584 | + | 0.595820i | ||||
\(607\) | 1.89938e12 | − | 6.91316e11i | 0.567887 | − | 0.206694i | −0.0420891 | − | 0.999114i | \(-0.513401\pi\) |
0.609976 | + | 0.792420i | \(0.291179\pi\) | |||||||
\(608\) | 1.76899e10 | − | 6.43859e9i | 0.00524999 | − | 0.00191084i | ||||
\(609\) | −2.09297e12 | − | 1.07890e12i | −0.616574 | − | 0.317837i | ||||
\(610\) | −9.15589e11 | − | 5.19256e12i | −0.267742 | − | 1.51844i | ||||
\(611\) | −3.01482e12 | + | 5.22182e12i | −0.875136 | + | 1.51578i | ||||
\(612\) | −1.24955e11 | − | 4.51833e11i | −0.0360058 | − | 0.130196i | ||||
\(613\) | −2.38705e12 | − | 4.13449e12i | −0.682793 | − | 1.18263i | −0.974125 | − | 0.226010i | \(-0.927432\pi\) |
0.291333 | − | 0.956622i | \(-0.405901\pi\) | |||||||
\(614\) | 1.19799e12 | − | 1.00523e12i | 0.340170 | − | 0.285437i | ||||
\(615\) | −3.16667e12 | + | 4.16128e12i | −0.892615 | + | 1.17297i | ||||
\(616\) | −2.55285e11 | + | 1.44779e12i | −0.0714350 | + | 0.405128i | ||||
\(617\) | −3.79697e12 | − | 3.18604e12i | −1.05476 | − | 0.885050i | −0.0611748 | − | 0.998127i | \(-0.519485\pi\) |
−0.993586 | + | 0.113077i | \(0.963929\pi\) | |||||||
\(618\) | 3.11621e12 | − | 7.03950e11i | 0.859366 | − | 0.194130i | ||||
\(619\) | 5.39510e12 | + | 1.96366e12i | 1.47704 | + | 0.537598i | 0.950002 | − | 0.312244i | \(-0.101081\pi\) |
0.527037 | + | 0.849842i | \(0.323303\pi\) | |||||||
\(620\) | 1.37532e10 | 0.00373800 | ||||||||
\(621\) | −1.05412e12 | − | 3.33429e10i | −0.284431 | − | 0.00899686i | ||||
\(622\) | 2.45021e12 | 0.656366 | ||||||||
\(623\) | 3.13763e12 | + | 1.14200e12i | 0.834459 | + | 0.303718i | ||||
\(624\) | 1.29340e12 | − | 4.16017e12i | 0.341510 | − | 1.09845i | ||||
\(625\) | −2.29553e12 | − | 1.92618e12i | −0.601760 | − | 0.504936i | ||||
\(626\) | −4.17063e11 | + | 2.36528e12i | −0.108547 | + | 0.615600i | ||||
\(627\) | 2.67084e10 | + | 3.40749e9i | 0.00690151 | + | 0.000880502i | ||||
\(628\) | 2.72605e11 | − | 2.28743e11i | 0.0699384 | − | 0.0586853i | ||||
\(629\) | −4.43500e12 | − | 7.68165e12i | −1.12971 | − | 1.95671i | ||||
\(630\) | 9.22261e12 | − | 8.81351e11i | 2.33250 | − | 0.222903i | ||||
\(631\) | 8.41204e11 | − | 1.45701e12i | 0.211237 | − | 0.365873i | −0.740865 | − | 0.671654i | \(-0.765584\pi\) |
0.952102 | + | 0.305781i | \(0.0989176\pi\) | |||||||
\(632\) | −1.18943e12 | − | 6.74562e12i | −0.296561 | − | 1.68188i | ||||
\(633\) | −4.49051e12 | + | 2.88611e12i | −1.11168 | + | 0.714491i | ||||
\(634\) | −4.34863e12 | + | 1.58277e12i | −1.06893 | + | 0.389060i | ||||
\(635\) | −5.39744e12 | + | 1.96451e12i | −1.31736 | + | 0.479481i | ||||
\(636\) | −7.22553e9 | − | 1.51563e11i | −0.00175111 | − | 0.0367313i | ||||
\(637\) | 1.65184e12 | + | 9.36805e12i | 0.397503 | + | 2.25435i | ||||
\(638\) | 1.95940e11 | − | 3.39378e11i | 0.0468198 | − | 0.0810943i | ||||
\(639\) | 7.95454e11 | + | 5.47542e11i | 0.188739 | + | 0.129916i | ||||
\(640\) | 2.61287e12 | + | 4.52562e12i | 0.615613 | + | 1.06627i | ||||
\(641\) | −1.53084e12 | + | 1.28452e12i | −0.358152 | + | 0.300525i | −0.804054 | − | 0.594557i | \(-0.797328\pi\) |
0.445902 | + | 0.895082i | \(0.352883\pi\) | |||||||
\(642\) | −1.22825e12 | − | 2.93200e12i | −0.285352 | − | 0.681172i | ||||
\(643\) | −6.89388e11 | + | 3.90971e12i | −0.159043 | + | 0.901977i | 0.795953 | + | 0.605358i | \(0.206970\pi\) |
−0.954996 | + | 0.296619i | \(0.904141\pi\) | |||||||
\(644\) | 1.51392e11 | + | 1.27033e11i | 0.0346830 | + | 0.0291025i | ||||
\(645\) | 7.28254e11 | + | 7.88389e11i | 0.165678 | + | 0.179358i | ||||
\(646\) | −1.64654e11 | − | 5.99291e10i | −0.0371985 | − | 0.0135391i | ||||
\(647\) | 1.84105e12 | 0.413043 | 0.206522 | − | 0.978442i | \(-0.433786\pi\) | ||||
0.206522 | + | 0.978442i | \(0.433786\pi\) | |||||||
\(648\) | −1.66950e12 | − | 4.36794e12i | −0.371963 | − | 0.973172i | ||||
\(649\) | 8.38471e11 | 0.185518 | ||||||||
\(650\) | −6.17317e12 | − | 2.24685e12i | −1.35643 | − | 0.493701i | ||||
\(651\) | −1.37610e11 | − | 1.48973e11i | −0.0300286 | − | 0.0325082i | ||||
\(652\) | −2.36019e11 | − | 1.98043e11i | −0.0511484 | − | 0.0429186i | ||||
\(653\) | −8.65790e11 | + | 4.91014e12i | −0.186339 | + | 1.05678i | 0.737884 | + | 0.674927i | \(0.235825\pi\) |
−0.924223 | + | 0.381853i | \(0.875286\pi\) | |||||||
\(654\) | 1.36662e12 | + | 3.26230e12i | 0.292111 | + | 0.697307i | ||||
\(655\) | 2.54376e12 | − | 2.13447e12i | 0.539996 | − | 0.453110i | ||||
\(656\) | 2.11946e12 | + | 3.67101e12i | 0.446845 | + | 0.773959i | ||||
\(657\) | 6.65882e12 | − | 3.17023e12i | 1.39429 | − | 0.663813i | ||||
\(658\) | −5.19716e12 | + | 9.00174e12i | −1.08081 | + | 1.87202i | ||||
\(659\) | −1.44897e12 | − | 8.21749e12i | −0.299277 | − | 1.69729i | −0.649290 | − | 0.760541i | \(-0.724934\pi\) |
0.350012 | − | 0.936745i | \(-0.386177\pi\) | |||||||
\(660\) | −7.74199e9 | − | 1.62396e11i | −0.00158820 | − | 0.0333141i | ||||
\(661\) | −5.52723e12 | + | 2.01175e12i | −1.12616 | + | 0.409889i | −0.836897 | − | 0.547360i | \(-0.815633\pi\) |
−0.289264 | + | 0.957249i | \(0.593411\pi\) | |||||||
\(662\) | 7.23372e12 | − | 2.63286e12i | 1.46386 | − | 0.532803i | ||||
\(663\) | 7.61351e12 | − | 4.89331e12i | 1.53029 | − | 0.983540i | ||||
\(664\) | 1.57184e12 | + | 8.91436e12i | 0.313800 | + | 1.77965i | ||||
\(665\) | −1.82568e11 | + | 3.16217e11i | −0.0362015 | + | 0.0627028i | ||||
\(666\) | −4.46954e12 | − | 6.27560e12i | −0.880297 | − | 1.23601i | ||||
\(667\) | −3.02482e11 | − | 5.23915e11i | −0.0591744 | − | 0.102493i | ||||
\(668\) | 2.74871e11 | − | 2.30644e11i | 0.0534115 | − | 0.0448176i | ||||
\(669\) | 7.68011e11 | + | 9.79836e10i | 0.148235 | + | 0.0189119i | ||||
\(670\) | 1.67121e12 | − | 9.47789e12i | 0.320401 | − | 1.81708i | ||||
\(671\) | 1.04520e12 | + | 8.77025e11i | 0.199043 | + | 0.167017i | ||||
\(672\) | −4.97639e11 | + | 1.60063e12i | −0.0941353 | + | 0.302781i | ||||
\(673\) | 5.28162e12 | + | 1.92235e12i | 0.992428 | + | 0.361214i | 0.786660 | − | 0.617386i | \(-0.211809\pi\) |
0.205768 | + | 0.978601i | \(0.434031\pi\) | |||||||
\(674\) | −5.11112e12 | −0.953996 | ||||||||
\(675\) | −6.05404e12 | + | 1.98909e12i | −1.12248 | + | 0.368798i | ||||
\(676\) | −3.36637e11 | −0.0620015 | ||||||||
\(677\) | 5.26169e12 | + | 1.91510e12i | 0.962667 | + | 0.350382i | 0.775078 | − | 0.631866i | \(-0.217711\pi\) |
0.187589 | + | 0.982248i | \(0.439933\pi\) | |||||||
\(678\) | −8.78112e12 | + | 1.98365e12i | −1.59594 | + | 0.360522i | ||||
\(679\) | −1.42933e12 | − | 1.19935e12i | −0.258059 | − | 0.216537i | ||||
\(680\) | −2.10986e12 | + | 1.19656e13i | −0.378410 | + | 2.14607i | ||||
\(681\) | −1.36870e12 | + | 1.79859e12i | −0.243863 | + | 0.320457i | ||||
\(682\) | 2.58553e10 | − | 2.16952e10i | 0.00457635 | − | 0.00384002i | ||||
\(683\) | −7.98478e11 | − | 1.38301e12i | −0.140401 | − | 0.243182i | 0.787247 | − | 0.616638i | \(-0.211506\pi\) |
−0.927648 | + | 0.373457i | \(0.878172\pi\) | |||||||
\(684\) | 1.55343e10 | + | 4.02934e9i | 0.00271355 | + | 0.000703852i | ||||
\(685\) | 4.43498e12 | − | 7.68160e12i | 0.769633 | − | 1.33304i | ||||
\(686\) | 1.24968e12 | + | 7.08726e12i | 0.215446 | + | 1.22186i | ||||
\(687\) | 3.45357e12 | + | 1.78028e12i | 0.591512 | + | 0.304917i | ||||
\(688\) | 8.17559e11 | − | 2.97567e11i | 0.139114 | − | 0.0506334i | ||||
\(689\) | 2.75270e12 | − | 1.00190e12i | 0.465343 | − | 0.169371i | ||||
\(690\) | 2.11570e12 | + | 1.09062e12i | 0.355331 | + | 0.183169i | ||||
\(691\) | −5.52292e11 | − | 3.13220e12i | −0.0921547 | − | 0.522635i | −0.995582 | − | 0.0938943i | \(-0.970068\pi\) |
0.903427 | − | 0.428741i | \(-0.141043\pi\) | |||||||
\(692\) | 2.69191e11 | − | 4.66253e11i | 0.0446256 | − | 0.0772937i | ||||
\(693\) | −1.68159e12 | + | 1.70874e12i | −0.276963 | + | 0.281435i | ||||
\(694\) | 1.86884e12 | + | 3.23693e12i | 0.305812 | + | 0.529682i | ||||
\(695\) | −7.35047e12 | + | 6.16777e12i | −1.19504 | + | 1.00276i | ||||
\(696\) | 1.62436e12 | − | 2.13455e12i | 0.262386 | − | 0.344798i | ||||
\(697\) | −1.52914e12 | + | 8.67218e12i | −0.245414 | + | 1.39181i | ||||
\(698\) | 2.07956e12 | + | 1.74495e12i | 0.331605 | + | 0.278250i | ||||
\(699\) | −7.15816e12 | + | 1.61702e12i | −1.13411 | + | 0.256194i | ||||
\(700\) | 1.12211e12 | + | 4.08414e11i | 0.176642 | + | 0.0642923i | ||||
\(701\) | 5.90164e12 | 0.923085 | 0.461543 | − | 0.887118i | \(-0.347296\pi\) | ||||
0.461543 | + | 0.887118i | \(0.347296\pi\) | |||||||
\(702\) | 6.17881e12 | − | 4.86020e12i | 0.960258 | − | 0.755330i | ||||
\(703\) | 3.03650e11 | 0.0468893 | ||||||||
\(704\) | −1.56049e12 | − | 5.67973e11i | −0.239434 | − | 0.0871467i | ||||
\(705\) | 3.91904e12 | − | 1.26054e13i | 0.597488 | − | 1.92179i | ||||
\(706\) | 4.31426e12 | + | 3.62009e12i | 0.653559 | + | 0.548401i | ||||
\(707\) | 2.63074e12 | − | 1.49196e13i | 0.395995 | − | 2.24580i | ||||
\(708\) | 4.95744e11 | + | 6.32476e10i | 0.0741495 | + | 0.00946006i | ||||
\(709\) | −7.66212e12 | + | 6.42928e12i | −1.13878 | + | 0.955552i | −0.999398 | − | 0.0346867i | \(-0.988957\pi\) |
−0.139384 | + | 0.990238i | \(0.544512\pi\) | |||||||
\(710\) | −1.08975e12 | − | 1.88749e12i | −0.160939 | − | 0.278755i | ||||
\(711\) | 4.63947e12 | − | 1.01610e13i | 0.680856 | − | 1.49116i | ||||
\(712\) | −1.90179e12 | + | 3.29400e12i | −0.277334 | + | 0.480357i | ||||
\(713\) | −9.04780e9 | − | 5.13126e10i | −0.00131111 | − | 0.00743569i | ||||
\(714\) | 1.31247e13 | − | 8.43544e12i | 1.88994 | − | 1.21469i | ||||
\(715\) | 2.94946e12 | − | 1.07351e12i | 0.422051 | − | 0.153614i | ||||
\(716\) | −1.52116e11 | + | 5.53658e10i | −0.0216305 | + | 0.00787286i | ||||
\(717\) | 4.96069e11 | + | 1.04055e13i | 0.0700980 | + | 1.47038i | ||||
\(718\) | −1.00985e12 | − | 5.72712e12i | −0.141806 | − | 0.804223i | ||||
\(719\) | 3.30047e12 | − | 5.71658e12i | 0.460570 | − | 0.797731i | −0.538419 | − | 0.842677i | \(-0.680978\pi\) |
0.998989 | + | 0.0449463i | \(0.0143117\pi\) | |||||||
\(720\) | −7.55156e11 | + | 9.50786e12i | −0.104723 | + | 1.31852i | ||||
\(721\) | −5.60555e12 | − | 9.70909e12i | −0.772519 | − | 1.33804i | ||||
\(722\) | −5.31530e12 | + | 4.46007e12i | −0.727965 | + | 0.610835i | ||||
\(723\) | −1.40263e12 | − | 3.34826e12i | −0.190906 | − | 0.455719i | ||||
\(724\) | −7.48968e8 | + | 4.24761e9i | −0.000101307 | + | 0.000574541i | ||||
\(725\) | −2.80016e12 | − | 2.34962e12i | −0.376411 | − | 0.315846i | ||||
\(726\) | 4.56008e12 | + | 4.93662e12i | 0.609197 | + | 0.659501i | ||||
\(727\) | −7.75046e12 | − | 2.82094e12i | −1.02902 | − | 0.374532i | −0.228311 | − | 0.973588i | \(-0.573320\pi\) |
−0.800707 | + | 0.599057i | \(0.795542\pi\) | |||||||
\(728\) | −1.69168e13 | −2.23217 | ||||||||
\(729\) | 1.79613e12 | − | 7.41105e12i | 0.235540 | − | 0.971865i | ||||
\(730\) | −1.66448e13 | −2.16934 | ||||||||
\(731\) | 1.69840e12 | + | 6.18169e11i | 0.219995 | + | 0.0800716i | ||||
\(732\) | 5.51815e11 | + | 5.97380e11i | 0.0710384 | + | 0.0769043i | ||||
\(733\) | −4.29332e12 | − | 3.60252e12i | −0.549320 | − | 0.460934i | 0.325391 | − | 0.945580i | \(-0.394504\pi\) |
−0.874711 | + | 0.484646i | \(0.838949\pi\) | |||||||
\(734\) | 1.10913e12 | − | 6.29018e12i | 0.141042 | − | 0.799891i | ||||
\(735\) | −8.04662e12 | − | 1.92084e13i | −1.01700 | − | 2.42771i | ||||
\(736\) | −3.29896e11 | + | 2.76816e11i | −0.0414407 | + | 0.0347729i | ||||
\(737\) | 1.24522e12 | + | 2.15678e12i | 0.155468 | + | 0.269278i | ||||
\(738\) | −6.05603e11 | + | 7.62490e12i | −0.0751509 | + | 0.946194i | ||||
\(739\) | 4.77222e12 | − | 8.26573e12i | 0.588601 | − | 1.01949i | −0.405815 | − | 0.913955i | \(-0.633012\pi\) |
0.994416 | − | 0.105531i | \(-0.0336543\pi\) | |||||||
\(740\) | −3.18388e11 | − | 1.80567e12i | −0.0390314 | − | 0.221358i | ||||
\(741\) | 1.47537e10 | + | 3.09474e11i | 0.00179771 | + | 0.0377088i | ||||
\(742\) | 4.74531e12 | − | 1.72715e12i | 0.574707 | − | 0.209176i | ||||
\(743\) | 5.99986e12 | − | 2.18377e12i | 0.722257 | − | 0.262880i | 0.0453734 | − | 0.998970i | \(-0.485552\pi\) |
0.676884 | + | 0.736090i | \(0.263330\pi\) | |||||||
\(744\) | 1.94343e11 | − | 1.24907e11i | 0.0232537 | − | 0.0149455i | ||||
\(745\) | 8.72878e11 | + | 4.95034e12i | 0.103813 | + | 0.588751i | ||||
\(746\) | −3.40949e12 | + | 5.90541e12i | −0.403055 | + | 0.698112i | ||||
\(747\) | −6.13108e12 | + | 1.34279e13i | −0.720434 | + | 1.57784i | ||||
\(748\) | −1.36894e11 | − | 2.37107e11i | −0.0159892 | − | 0.0276941i | ||||
\(749\) | −8.54558e12 | + | 7.17059e12i | −0.992141 | + | 0.832505i | ||||
\(750\) | 2.19172e12 | + | 2.79622e11i | 0.252935 | + | 0.0322697i | ||||
\(751\) | −4.90563e11 | + | 2.78212e12i | −0.0562750 | + | 0.319151i | −0.999931 | − | 0.0117777i | \(-0.996251\pi\) |
0.943656 | + | 0.330929i | \(0.107362\pi\) | |||||||
\(752\) | −8.19729e12 | − | 6.87834e12i | −0.934738 | − | 0.784338i | ||||
\(753\) | 9.58633e11 | − | 3.08339e12i | 0.108661 | − | 0.349503i | ||||
\(754\) | 4.23742e12 | + | 1.54230e12i | 0.477453 | + | 0.173779i | ||||
\(755\) | 2.15910e13 | 2.41831 | ||||||||
\(756\) | −1.12313e12 | + | 8.83445e11i | −0.125050 | + | 0.0983630i | ||||
\(757\) | 1.13228e13 | 1.25321 | 0.626605 | − | 0.779337i | \(-0.284444\pi\) | ||||
0.626605 | + | 0.779337i | \(0.284444\pi\) | |||||||
\(758\) | 1.13870e13 | + | 4.14454e12i | 1.25285 | + | 0.456000i | ||||
\(759\) | −6.00802e11 | + | 1.35721e11i | −0.0657118 | + | 0.0148443i | ||||
\(760\) | −3.18629e11 | − | 2.67362e11i | −0.0346437 | − | 0.0290695i | ||||
\(761\) | −4.72301e10 | + | 2.67855e11i | −0.00510491 | + | 0.0289514i | −0.987254 | − | 0.159154i | \(-0.949123\pi\) |
0.982149 | + | 0.188105i | \(0.0602346\pi\) | |||||||
\(762\) | −5.08793e12 | + | 6.68599e12i | −0.546694 | + | 0.718403i | ||||
\(763\) | 9.50826e12 | − | 7.97837e12i | 1.01564 | − | 0.852224i | ||||
\(764\) | −3.02313e11 | − | 5.23621e11i | −0.0321023 | − | 0.0556028i | ||||
\(765\) | −1.38979e13 | + | 1.41223e13i | −1.46714 | + | 1.49083i | ||||
\(766\) | 4.28812e12 | − | 7.42725e12i | 0.450026 | − | 0.779468i | ||||
\(767\) | 1.67541e12 | + | 9.50174e12i | 0.174801 | + | 0.991343i | ||||
\(768\) | −2.42921e12 | − | 1.25223e12i | −0.251964 | − | 0.129885i | ||||
\(769\) | 1.45226e13 | − | 5.28580e12i | 1.49753 | − | 0.545058i | 0.542113 | − | 0.840306i | \(-0.317624\pi\) |
0.955421 | + | 0.295248i | \(0.0954022\pi\) | |||||||
\(770\) | 5.08448e12 | − | 1.85060e12i | 0.521241 | − | 0.189716i | ||||
\(771\) | −4.87437e12 | − | 2.51268e12i | −0.496791 | − | 0.256090i | ||||
\(772\) | 1.05641e11 | + | 5.99123e11i | 0.0107043 | + | 0.0607069i | ||||
\(773\) | 9.37174e12 | − | 1.62323e13i | 0.944088 | − | 1.63521i | 0.186520 | − | 0.982451i | \(-0.440279\pi\) |
0.757567 | − | 0.652757i | \(-0.226388\pi\) | |||||||
\(774\) | 1.51963e12 | + | 3.94169e11i | 0.152196 | + | 0.0394773i | ||||
\(775\) | −1.57414e11 | − | 2.72648e11i | −0.0156742 | − | 0.0271485i | ||||
\(776\) | 1.62821e12 | − | 1.36623e12i | 0.161188 | − | 0.135253i | ||||
\(777\) | −1.63731e13 | + | 2.15157e13i | −1.61153 | + | 2.11769i | ||||
\(778\) | 8.81604e11 | − | 4.99982e12i | 0.0862711 | − | 0.489268i | ||||
\(779\) | −2.30930e11 | − | 1.93773e11i | −0.0224678 | − | 0.0188527i | ||||
\(780\) | 1.82484e12 | − | 4.12230e11i | 0.176522 | − | 0.0398762i | ||||
\(781\) | 5.29974e11 | + | 1.92895e11i | 0.0509712 | + | 0.0185520i | ||||
\(782\) | 4.00840e12 | 0.383301 | ||||||||
\(783\) | 4.15564e12 | − | 1.36536e12i | 0.395103 | − | 0.129814i | ||||
\(784\) | −1.68820e13 | −1.59588 | ||||||||
\(785\) | −1.41337e13 | − | 5.14424e12i | −1.32844 | − | 0.483512i | ||||
\(786\) | 1.44204e12 | − | 4.63826e12i | 0.134765 | − | 0.433464i | ||||
\(787\) | 1.20410e13 | + | 1.01036e13i | 1.11886 | + | 0.938838i | 0.998546 | − | 0.0538970i | \(-0.0171643\pi\) |
0.120318 | + | 0.992735i | \(0.461609\pi\) | |||||||
\(788\) | −1.56295e10 | + | 8.86392e10i | −0.00144403 | + | 0.00818951i | ||||
\(789\) | 1.20963e13 | + | 1.54326e12i | 1.11123 | + | 0.141772i | ||||
\(790\) | −1.93122e13 | + | 1.62048e13i | −1.76404 | + | 1.48021i | ||||
\(791\) | 1.57958e13 | + | 2.73591e13i | 1.43465 | + | 2.48489i | ||||
\(792\) | −1.58429e12 | − | 2.22448e12i | −0.143078 | − | 0.200893i | ||||
\(793\) | −7.85015e12 | + | 1.35969e13i | −0.704934 | + | 1.22098i | ||||
\(794\) | −1.18338e12 | − | 6.71129e12i | −0.105665 | − | 0.599258i | ||||
\(795\) | −5.39500e12 | + | 3.46744e12i | −0.479005 | + | 0.307863i | ||||
\(796\) | −1.27075e12 | + | 4.62515e11i | −0.112189 | + | 0.0408336i | ||||
\(797\) | −9.61192e12 | + | 3.49845e12i | −0.843816 | + | 0.307124i | −0.727516 | − | 0.686090i | \(-0.759325\pi\) |
−0.116299 | + | 0.993214i | \(0.537103\pi\) | |||||||
\(798\) | 2.54335e10 | + | 5.33494e11i | 0.00222021 | + | 0.0465711i | ||||
\(799\) | −3.86019e12 | − | 2.18922e13i | −0.335080 | − | 1.90033i | ||||
\(800\) | −1.30105e12 | + | 2.25348e12i | −0.112302 | + | 0.194513i | ||||
\(801\) | −5.60038e12 | + | 2.66631e12i | −0.480697 | + | 0.228857i | ||||
\(802\) | 1.33053e12 | + | 2.30454e12i | 0.113564 | + | 0.196698i | ||||
\(803\) | 3.29950e12 | − | 2.76861e12i | 0.280045 | − | 0.234986i | ||||
\(804\) | 5.73541e11 | + | 1.36912e12i | 0.0484074 | + | 0.115555i | ||||
\(805\) | 1.45047e12 | − | 8.22603e12i | 0.121738 | − | 0.690412i | ||||
\(806\) | 2.97518e11 | + | 2.49647e11i | 0.0248316 | + | 0.0208362i | ||||
\(807\) | 1.19181e13 | + | 1.29022e13i | 0.989182 | + | 1.07086i | ||||
\(808\) | 1.62170e13 | + | 5.90251e12i | 1.33850 | + | 0.487175i | ||||
\(809\) | 1.29126e13 | 1.05985 | 0.529926 | − | 0.848044i | \(-0.322220\pi\) | ||||
0.529926 | + | 0.848044i | \(0.322220\pi\) | |||||||
\(810\) | −1.08501e13 | + | 1.33595e13i | −0.885628 | + | 1.09045i | ||||
\(811\) | −4.15809e12 | −0.337521 | −0.168760 | − | 0.985657i | \(-0.553976\pi\) | ||||
−0.168760 | + | 0.985657i | \(0.553976\pi\) | |||||||
\(812\) | −7.70243e11 | − | 2.80345e11i | −0.0621764 | − | 0.0226304i | ||||
\(813\) | 4.71249e12 | + | 5.10162e12i | 0.378306 | + | 0.409544i | ||||
\(814\) | −3.44694e12 | − | 2.89233e12i | −0.275185 | − | 0.230907i | ||||
\(815\) | −2.26127e12 | + | 1.28243e13i | −0.179532 | + | 1.01818i | ||||
\(816\) | 6.20595e12 | + | 1.48144e13i | 0.490007 | + | 1.16971i | ||||
\(817\) | −4.73978e10 | + | 3.97715e10i | −0.00372185 | + | 0.00312300i | ||||
\(818\) | −1.05850e13 | − | 1.83337e13i | −0.826610 | − | 1.43173i | ||||
\(819\) | −2.27240e13 | − | 1.56418e13i | −1.76485 | − | 1.21481i | ||||
\(820\) | −9.10143e11 | + | 1.57641e12i | −0.0702987 | + | 0.121761i | ||||
\(821\) | 1.60090e12 | + | 9.07914e12i | 0.122976 | + | 0.697430i | 0.982490 | + | 0.186318i | \(0.0596553\pi\) |
−0.859514 | + | 0.511112i | \(0.829234\pi\) | |||||||
\(822\) | −6.17837e11 | − | 1.29598e13i | −0.0472009 | − | 0.990087i | ||||
\(823\) | 6.31694e12 | − | 2.29918e12i | 0.479963 | − | 0.174692i | −0.0906975 | − | 0.995878i | \(-0.528910\pi\) |
0.570660 | + | 0.821186i | \(0.306687\pi\) | |||||||
\(824\) | 1.20008e13 | − | 4.36795e12i | 0.906857 | − | 0.330069i | ||||
\(825\) | −3.13080e12 | + | 2.01221e12i | −0.235295 | + | 0.151227i | ||||
\(826\) | 2.88820e12 | + | 1.63798e13i | 0.215882 | + | 1.22433i | ||||
\(827\) | −8.44409e12 | + | 1.46256e13i | −0.627737 | + | 1.08727i | 0.360267 | + | 0.932849i | \(0.382685\pi\) |
−0.988005 | + | 0.154424i | \(0.950648\pi\) | |||||||
\(828\) | −3.65460e11 | + | 3.49249e10i | −0.0270211 | + | 0.00258225i | ||||
\(829\) | 2.06589e12 | + | 3.57823e12i | 0.151919 | + | 0.263132i | 0.931933 | − | 0.362631i | \(-0.118121\pi\) |
−0.780014 | + | 0.625762i | \(0.784788\pi\) | |||||||
\(830\) | 2.55211e13 | − | 2.14147e13i | 1.86659 | − | 1.56625i | ||||
\(831\) | 1.55646e13 | + | 1.98574e12i | 1.13222 | + | 0.144450i | ||||
\(832\) | 3.31826e12 | − | 1.88188e13i | 0.240079 | − | 1.36156i | ||||
\(833\) | −2.68657e13 | − | 2.25430e13i | −1.93329 | − | 1.62222i | ||||
\(834\) | −4.16694e12 | + | 1.34027e13i | −0.298243 | + | 0.959282i | ||||
\(835\) | −1.42512e13 | − | 5.18700e12i | −1.01452 | − | 0.369256i | ||||
\(836\) | 9.37266e9 | 0.000663643 | ||||||||
\(837\) | 3.76551e11 | + | 1.19107e10i | 0.0265191 | + | 0.000838830i | ||||
\(838\) | −3.81830e12 | −0.267468 | ||||||||
\(839\) | 7.64227e11 | + | 2.78156e11i | 0.0532468 | + | 0.0193803i | 0.368506 | − | 0.929625i | \(-0.379869\pi\) |
−0.315259 | + | 0.949006i | \(0.602092\pi\) | |||||||
\(840\) | 3.61253e13 | − | 8.16069e12i | 2.50354 | − | 0.565549i | ||||
\(841\) | −9.19101e12 | − | 7.71218e12i | −0.633551 | − | 0.531612i | ||||
\(842\) | 4.16926e11 | − | 2.36451e12i | 0.0285861 | − | 0.162120i | ||||
\(843\) | −3.10806e12 | + | 4.08426e12i | −0.211966 | + | 0.278541i | ||||
\(844\) | −1.42345e12 | + | 1.19442e12i | −0.0965608 | + | 0.0810241i | ||||
\(845\) | 7.11413e12 | + | 1.23220e13i | 0.480028 | + | 0.831433i | ||||
\(846\) | −5.14675e12 | − | 1.86105e13i | −0.345435 | − | 1.24908i | ||||
\(847\) | 1.17919e13 | − | 2.04241e13i | 0.787241 | − | 1.36354i | ||||
\(848\) | 9.02753e11 | + | 5.11977e12i | 0.0599498 | + | 0.339992i | ||||
\(849\) | −1.53885e13 | − | 7.93261e12i | −1.01651 | − | 0.524000i | ||||
\(850\) | 2.27591e13 | − | 8.28365e12i | 1.49545 | − | 0.544298i | ||||
\(851\) | −6.52745e12 | + | 2.37580e12i | −0.426639 | + | 0.155284i | ||||
\(852\) | 2.98796e11 | + | 1.54026e11i | 0.0194266 | + | 0.0100142i | ||||
\(853\) | −2.60392e12 | − | 1.47675e13i | −0.168406 | − | 0.955075i | −0.945483 | − | 0.325671i | \(-0.894410\pi\) |
0.777078 | − | 0.629405i | \(-0.216701\pi\) | |||||||
\(854\) | −1.35326e13 | + | 2.34392e13i | −0.870607 | + | 1.50794i | ||||
\(855\) | −1.80797e11 | − | 6.53757e11i | −0.0115703 | − | 0.0418378i | ||||
\(856\) | −6.35382e12 | − | 1.10051e13i | −0.404486 | − | 0.700590i | ||||
\(857\) | −1.32731e12 | + | 1.11375e12i | −0.0840544 | + | 0.0705300i | −0.683847 | − | 0.729626i | \(-0.739694\pi\) |
0.599792 | + | 0.800156i | \(0.295250\pi\) | |||||||
\(858\) | 2.78033e12 | − | 3.65359e12i | 0.175147 | − | 0.230159i | ||||
\(859\) | −1.78047e12 | + | 1.00976e13i | −0.111575 | + | 0.632772i | 0.876814 | + | 0.480829i | \(0.159664\pi\) |
−0.988389 | + | 0.151943i | \(0.951447\pi\) | |||||||
\(860\) | 2.86202e11 | + | 2.40152e11i | 0.0178414 | + | 0.0149707i | ||||
\(861\) | 2.61822e13 | − | 5.91454e12i | 1.62365 | − | 0.366781i | ||||
\(862\) | 1.22117e12 | + | 4.44468e11i | 0.0753342 | + | 0.0274194i | ||||
\(863\) | 8.48185e12 | 0.520525 | 0.260263 | − | 0.965538i | \(-0.416191\pi\) | ||||
0.260263 | + | 0.965538i | \(0.416191\pi\) | |||||||
\(864\) | −1.47087e12 | − | 2.74451e12i | −0.0897972 | − | 0.167553i | ||||
\(865\) | −2.27552e13 | −1.38200 | ||||||||
\(866\) | −1.51722e13 | − | 5.52223e12i | −0.916681 | − | 0.333645i | ||||
\(867\) | −4.96673e12 | + | 1.59752e13i | −0.298527 | + | 0.960198i | ||||
\(868\) | −5.40802e10 | − | 4.53787e10i | −0.00323370 | − | 0.00271340i | ||||
\(869\) | 1.13282e12 | − | 6.42455e12i | 0.0673864 | − | 0.382167i | ||||
\(870\) | −9.79290e12 | − | 1.24939e12i | −0.579529 | − | 0.0739368i | ||||
\(871\) | −2.19529e13 | + | 1.84207e13i | −1.29244 | + | 1.08449i | ||||
\(872\) | 7.06960e12 | + | 1.22449e13i | 0.414067 | + | 0.717185i | ||||
\(873\) | 3.45040e12 | − | 3.29735e11i | 0.201051 | − | 0.0192132i | ||||
\(874\) | −6.86103e10 | + | 1.18837e11i | −0.00397730 | + | 0.00688888i | ||||
\(875\) | −1.34640e12 | − | 7.63583e12i | −0.0776495 | − | 0.440372i | ||||
\(876\) | 2.15966e12 | − | 1.38804e12i | 0.123913 | − | 0.0796407i | ||||
\(877\) | −6.44710e12 | + | 2.34655e12i | −0.368016 | + | 0.133947i | −0.519407 | − | 0.854527i | \(-0.673847\pi\) |
0.151391 | + | 0.988474i | \(0.451625\pi\) | |||||||
\(878\) | −7.15346e12 | + | 2.60365e12i | −0.406248 | + | 0.147862i | ||||
\(879\) | −3.57089e11 | − | 7.49031e12i | −0.0201756 | − | 0.423204i | ||||
\(880\) | 9.67279e11 | + | 5.48571e12i | 0.0543725 | + | 0.308362i | ||||
\(881\) | 1.22294e13 | − | 2.11819e13i | 0.683931 | − | 1.18460i | −0.289841 | − | 0.957075i | \(-0.593602\pi\) |
0.973772 | − | 0.227528i | \(-0.0730643\pi\) | |||||||
\(882\) | −2.50927e13 | − | 1.72723e13i | −1.39617 | − | 0.961038i | ||||
\(883\) | −3.97832e12 | − | 6.89066e12i | −0.220230 | − | 0.381450i | 0.734648 | − | 0.678449i | \(-0.237348\pi\) |
−0.954878 | + | 0.296999i | \(0.904014\pi\) | |||||||
\(884\) | 2.41341e12 | − | 2.02509e12i | 0.132922 | − | 0.111535i | ||||
\(885\) | −8.16146e12 | − | 1.94825e13i | −0.447222 | − | 1.06758i | ||||
\(886\) | 1.04697e12 | − | 5.93765e12i | 0.0570797 | − | 0.323715i | ||||
\(887\) | 1.48796e13 | + | 1.24854e13i | 0.807113 | + | 0.677248i | 0.949917 | − | 0.312503i | \(-0.101167\pi\) |
−0.142804 | + | 0.989751i | \(0.545612\pi\) | |||||||
\(888\) | −2.08983e13 | − | 2.26240e13i | −1.12786 | − | 1.22099i | ||||
\(889\) | 2.77057e13 | + | 1.00841e13i | 1.48769 | + | 0.541474i | ||||
\(890\) | 1.39991e13 | 0.747902 | ||||||||
\(891\) | −7.13289e10 | − | 4.45299e12i | −0.00379154 | − | 0.236702i | ||||
\(892\) | 2.69514e11 | 0.0142541 | ||||||||
\(893\) | 7.15110e11 | + | 2.60279e11i | 0.0376306 | + | 0.0136964i | ||||
\(894\) | 4.98914e12 | + | 5.40111e12i | 0.261220 | + | 0.282790i | ||||
\(895\) | 5.24123e12 | + | 4.39791e12i | 0.273042 | + | 0.229109i | ||||
\(896\) | 4.65801e12 | − | 2.64169e13i | 0.241443 | − | 1.36929i | ||||
\(897\) | −2.73853e12 | − | 6.53722e12i | −0.141238 | − | 0.337153i | ||||
\(898\) | 2.62817e12 | − | 2.20529e12i | 0.134868 | − | 0.113168i | ||||
\(899\) | 1.08053e11 | + | 1.87153e11i | 0.00551718 | + | 0.00955603i | ||||
\(900\) | −2.00286e12 | + | 9.53550e11i | −0.101756 | + | 0.0484454i | ||||
\(901\) | −5.39997e12 | + | 9.35302e12i | −0.272979 | + | 0.472814i | ||||
\(902\) | 7.75716e11 | + | 4.39931e12i | 0.0390188 | + | 0.221286i | ||||
\(903\) | −2.62347e11 | − | 5.50299e12i | −0.0131305 | − | 0.275425i | ||||
\(904\) | −3.38170e13 | + | 1.23084e13i | −1.68414 | + | 0.612975i | ||||
\(905\) | 1.71304e11 | − | 6.23497e10i | 0.00848886 | − | 0.00308969i | ||||
\(906\) | 2.65680e13 | − | 1.70756e13i | 1.31003 | − | 0.841975i | ||||
\(907\) | 1.60526e11 | + | 9.10389e11i | 0.00787613 | + | 0.0446678i | 0.988493 | − | 0.151270i | \(-0.0483362\pi\) |
−0.980616 | + | 0.195937i | \(0.937225\pi\) | |||||||
\(908\) | −3.93382e11 | + | 6.81358e11i | −0.0192056 | + | 0.0332651i | ||||
\(909\) | 1.63263e13 | + | 2.29235e13i | 0.793143 | + | 1.11364i | ||||
\(910\) | 3.11311e13 | + | 5.39206e13i | 1.50490 | + | 2.60657i | ||||
\(911\) | −1.32517e13 | + | 1.11195e13i | −0.637438 | + | 0.534874i | −0.903230 | − | 0.429156i | \(-0.858811\pi\) |
0.265792 | + | 0.964030i | \(0.414367\pi\) | |||||||
\(912\) | −5.45427e11 | − | 6.95861e10i | −0.0261072 | − | 0.00333078i | ||||
\(913\) | −1.49703e12 | + | 8.49006e12i | −0.0713035 | + | 0.404382i | ||||
\(914\) | −4.65770e12 | − | 3.90827e12i | −0.220757 | − | 0.185237i | ||||
\(915\) | 1.02046e13 | − | 3.28226e13i | 0.481284 | − | 1.54803i | ||||
\(916\) | 1.27096e12 | + | 4.62593e11i | 0.0596491 | + | 0.0217105i | ||||
\(917\) | −1.70453e13 | −0.796054 | ||||||||
\(918\) | −5.93265e12 | + | 2.83690e13i | −0.275713 | + | 1.31841i | ||||
\(919\) | 1.04146e13 | 0.481639 | 0.240819 | − | 0.970570i | \(-0.422584\pi\) | ||||
0.240819 | + | 0.970570i | \(0.422584\pi\) | |||||||
\(920\) | 8.94133e12 | + | 3.25438e12i | 0.411488 | + | 0.149769i | ||||
\(921\) | 9.94423e12 | − | 2.24640e12i | 0.455410 | − | 0.102877i | ||||
\(922\) | 2.10855e13 | + | 1.76928e13i | 0.960934 | + | 0.806320i | ||||
\(923\) | −1.12695e12 | + | 6.39122e12i | −0.0511087 | + | 0.289852i | ||||
\(924\) | −5.05384e11 | + | 6.64119e11i | −0.0228086 | + | 0.0299724i | ||||
\(925\) | −3.21522e13 | + | 2.69789e13i | −1.44402 | + | 1.21168i | ||||
\(926\) | −1.00505e13 | − | 1.74079e13i | −0.449197 | − | 0.778032i | ||||
\(927\) | 2.01592e13 | + | 5.22898e12i | 0.896634 | + | 0.232572i | ||||
\(928\) | 8.93072e11 | − | 1.54685e12i | 0.0395294 | − | 0.0684670i | ||||
\(929\) | 3.71622e12 | + | 2.10757e13i | 0.163693 | + | 0.928350i | 0.950402 | + | 0.311025i | \(0.100672\pi\) |
−0.786708 | + | 0.617325i | \(0.788216\pi\) | |||||||
\(930\) | −7.55770e11 | − | 3.89591e11i | −0.0331296 | − | 0.0170779i | ||||
\(931\) | 1.12818e12 | − | 4.10625e11i | 0.0492160 | − | 0.0179132i | ||||
\(932\) | −2.40051e12 | + | 8.73714e11i | −0.104215 | + | 0.0379313i | ||||
\(933\) | 1.41975e13 | + | 7.31864e12i | 0.613401 | + | 0.316201i | ||||
\(934\) | −1.67950e12 | − | 9.52490e12i | −0.0722135 | − | 0.409543i | ||||
\(935\) | −5.78593e12 | + | 1.00215e13i | −0.247583 | + | 0.428827i | ||||
\(936\) | 2.20426e13 | − | 2.23985e13i | 0.938687 | − | 0.953843i | ||||
\(937\) | −1.77409e13 | − | 3.07281e13i | −0.751877 | − | 1.30229i | −0.946912 | − | 0.321493i | \(-0.895815\pi\) |
0.195035 | − | 0.980796i | \(-0.437518\pi\) | |||||||
\(938\) | −3.78440e13 | + | 3.17549e13i | −1.59619 | + | 1.33936i | ||||
\(939\) | −9.48161e12 | + | 1.24597e13i | −0.398003 | + | 0.523011i | ||||
\(940\) | 7.97942e11 | − | 4.52535e12i | 0.0333347 | − | 0.189050i | ||||
\(941\) | 2.33619e12 | + | 1.96030e12i | 0.0971304 | + | 0.0815021i | 0.690060 | − | 0.723752i | \(-0.257584\pi\) |
−0.592929 | + | 0.805254i | \(0.702029\pi\) | |||||||
\(942\) | −2.14600e13 | + | 4.84781e12i | −0.887976 | + | 0.200593i | ||||
\(943\) | 6.48032e12 | + | 2.35864e12i | 0.266866 | + | 0.0971313i | ||||
\(944\) | −1.71229e13 | −0.701783 | ||||||||
\(945\) | 5.60721e13 | + | 2.24405e13i | 2.28720 | + | 0.915356i | ||||
\(946\) | 9.16877e11 | 0.0372221 | ||||||||
\(947\) | −1.78919e13 | − | 6.51213e12i | −0.722907 | − | 0.263117i | −0.0457476 | − | 0.998953i | \(-0.514567\pi\) |
−0.677159 | + | 0.735836i | \(0.736789\pi\) | |||||||
\(948\) | 1.15439e12 | − | 3.71305e12i | 0.0464212 | − | 0.149311i | ||||
\(949\) | 3.79674e13 | + | 3.18584e13i | 1.51954 | + | 1.27505i | ||||
\(950\) | −1.43976e11 | + | 8.16526e11i | −0.00573499 | + | 0.0325248i | ||||
\(951\) | −2.99254e13 | − | 3.81791e12i | −1.18639 | − | 0.151361i | ||||
\(952\) | 4.77770e13 | − | 4.00897e13i | 1.88518 | − | 1.58185i | ||||
\(953\) | −1.18926e13 | − | 2.05985e13i | −0.467043 | − | 0.808942i | 0.532248 | − | 0.846588i | \(-0.321347\pi\) |
−0.999291 | + | 0.0376460i | \(0.988014\pi\) | |||||||
\(954\) | −3.89632e12 | + | 8.53345e12i | −0.152295 | + | 0.333547i | ||||
\(955\) | −1.27775e13 | + | 2.21313e13i | −0.497085 | + | 0.860977i | ||||
\(956\) | 6.29705e11 | + | 3.57123e12i | 0.0243824 | + | 0.138279i | ||||
\(957\) | 2.14906e12 | − | 1.38123e12i | 0.0828217 | − | 0.0532307i | ||||
\(958\) | −7.54750e12 | + | 2.74706e12i | −0.289506 | + | 0.105372i | ||||
\(959\) | −4.27848e13 | + | 1.55724e13i | −1.63345 | + | 0.594527i | ||||
\(960\) | 1.99217e12 | + | 4.17877e13i | 0.0757016 | + | 1.58792i | ||||
\(961\) | −4.58796e12 | − | 2.60196e13i | −0.173526 | − | 0.984114i | ||||
\(962\) | 2.58889e13 | − | 4.48409e13i | 0.974598 | − | 1.68805i | ||||
\(963\) | 1.64075e12 | − | 2.06579e13i | 0.0614785 | − | 0.774050i | ||||
\(964\) | −6.31840e11 | − | 1.09438e12i | −0.0235646 | − | 0.0408151i | ||||
\(965\) | 1.96973e13 | − | 1.65280e13i | 0.731198 | − | 0.613548i | ||||
\(966\) | −4.72086e12 | − | 1.12693e13i | −0.174431 | − | 0.416391i | ||||
\(967\) | −2.26043e12 | + | 1.28196e13i | −0.0831328 | + | 0.471470i | 0.914611 | + | 0.404335i | \(0.132497\pi\) |
−0.997744 | + | 0.0671350i | \(0.978614\pi\) | |||||||
\(968\) | 2.05800e13 | + | 1.72686e13i | 0.753365 | + | 0.632148i | ||||
\(969\) | −7.75065e11 | − | 8.39065e11i | −0.0282411 | − | 0.0305731i | ||||
\(970\) | −7.35104e12 | − | 2.67556e12i | −0.266610 | − | 0.0970380i | ||||
\(971\) | −4.47113e13 | −1.61410 | −0.807051 | − | 0.590481i | \(-0.798938\pi\) | ||||
−0.807051 | + | 0.590481i | \(0.798938\pi\) | |||||||
\(972\) | 2.93725e11 | − | 2.63820e12i | 0.0105546 | − | 0.0948002i | ||||
\(973\) | 4.92542e13 | 1.76171 | ||||||||
\(974\) | 1.10092e13 | + | 4.00701e12i | 0.391958 | + | 0.142661i | ||||
\(975\) | −2.90586e13 | − | 3.14581e13i | −1.02980 | − | 1.11484i | ||||
\(976\) | −2.13445e13 | − | 1.79102e13i | −0.752944 | − | 0.631795i | ||||
\(977\) | 5.02503e12 | − | 2.84984e13i | 0.176447 | − | 1.00068i | −0.760014 | − | 0.649906i | \(-0.774808\pi\) |
0.936461 | − | 0.350772i | \(-0.114081\pi\) | |||||||
\(978\) | 7.35978e12 | + | 1.75688e13i | 0.257241 | + | 0.614068i | ||||
\(979\) | −2.77503e12 | + | 2.32853e12i | −0.0965486 | + | 0.0810139i | ||||
\(980\) | −3.62475e12 | − | 6.27825e12i | −0.125534 | − | 0.217431i | ||||
\(981\) | −1.82558e12 | + | 2.29851e13i | −0.0629347 | + | 0.792385i | ||||
\(982\) | −8.01832e11 | + | 1.38881e12i | −0.0275158 | + | 0.0476587i | ||||
\(983\) | 2.25586e11 | + | 1.27936e12i | 0.00770585 | + | 0.0437021i | 0.988418 | − | 0.151754i | \(-0.0484923\pi\) |
−0.980712 | + | 0.195456i | \(0.937381\pi\) | |||||||
\(984\) | 1.45605e12 | + | 3.05420e13i | 0.0495105 | + | 1.03853i | ||||
\(985\) | 3.57478e12 | − | 1.30111e12i | 0.121000 | − | 0.0440405i | ||||
\(986\) | −1.56224e13 | + | 5.68611e12i | −0.526384 | + | 0.191588i | ||||
\(987\) | −5.70021e13 | + | 3.66361e13i | −1.91189 | + | 1.22880i | ||||
\(988\) | 1.87282e10 | + | 1.06213e11i | 0.000625303 | + | 0.00354627i | ||||
\(989\) | 7.07716e11 | − | 1.22580e12i | 0.0235221 | − | 0.0407414i | ||||
\(990\) | −4.17481e12 | + | 9.14338e12i | −0.138127 | + | 0.302516i | ||||
\(991\) | −1.52985e13 | − | 2.64978e13i | −0.503869 | − | 0.872726i | −0.999990 | − | 0.00447280i | \(-0.998576\pi\) |
0.496121 | − | 0.868253i | \(-0.334757\pi\) | |||||||
\(992\) | 1.17845e11 | − | 9.88841e10i | 0.00386376 | − | 0.00324208i | ||||
\(993\) | 4.97793e13 | + | 6.35089e12i | 1.62471 | + | 0.207283i | ||||
\(994\) | −1.94271e12 | + | 1.10176e13i | −0.0631203 | + | 0.357973i | ||||
\(995\) | 4.37842e13 | + | 3.67393e13i | 1.41617 | + | 1.18830i | ||||
\(996\) | −1.52554e12 | + | 4.90681e12i | −0.0491197 | + | 0.157991i | ||||
\(997\) | 1.02283e13 | + | 3.72279e12i | 0.327850 | + | 0.119328i | 0.500701 | − | 0.865620i | \(-0.333076\pi\) |
−0.172851 | + | 0.984948i | \(0.555298\pi\) | |||||||
\(998\) | −2.24614e13 | −0.716721 | ||||||||
\(999\) | −7.15346e12 | − | 4.97136e13i | −0.227233 | − | 1.57918i |
(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 | 27.10.e.a.4.8 | ✓ | 156 | |
3.2 | odd | 2 | 81.10.e.a.64.19 | 156 | |||
27.7 | even | 9 | inner | 27.10.e.a.7.8 | yes | 156 | |
27.20 | odd | 18 | 81.10.e.a.19.19 | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.10.e.a.4.8 | ✓ | 156 | 1.1 | even | 1 | trivial | |
27.10.e.a.7.8 | yes | 156 | 27.7 | even | 9 | inner | |
81.10.e.a.19.19 | 156 | 27.20 | odd | 18 | |||
81.10.e.a.64.19 | 156 | 3.2 | odd | 2 |