Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.14 | ||
Character | \(\chi\) | \(=\) | 43.7 |
Dual form | 43.11.d.a.37.23 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 20.4162i | − | 0.638007i | −0.947754 | − | 0.319003i | \(-0.896652\pi\) | ||
0.947754 | − | 0.319003i | \(-0.103348\pi\) | |||||||
\(3\) | −201.640 | + | 116.417i | −0.829793 | + | 0.479081i | −0.853782 | − | 0.520631i | \(-0.825697\pi\) |
0.0239887 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(4\) | 607.178 | 0.592948 | ||||||||
\(5\) | 4872.92 | − | 2813.38i | 1.55934 | − | 0.900283i | 0.562015 | − | 0.827127i | \(-0.310026\pi\) |
0.997320 | − | 0.0731563i | \(-0.0233072\pi\) | |||||||
\(6\) | 2376.79 | + | 4116.72i | 0.305657 | + | 0.529413i | ||||
\(7\) | −6546.27 | − | 3779.49i | −0.389497 | − | 0.224876i | 0.292445 | − | 0.956282i | \(-0.405531\pi\) |
−0.681942 | + | 0.731406i | \(0.738864\pi\) | |||||||
\(8\) | − | 33302.5i | − | 1.01631i | ||||||
\(9\) | −2418.78 | + | 4189.45i | −0.0409623 | + | 0.0709488i | ||||
\(10\) | −57438.7 | − | 99486.7i | −0.574387 | − | 0.994867i | ||||
\(11\) | 309963. | 1.92463 | 0.962313 | − | 0.271943i | \(-0.0876661\pi\) | ||||
0.962313 | + | 0.271943i | \(0.0876661\pi\) | |||||||
\(12\) | −122431. | + | 70685.7i | −0.492024 | + | 0.284070i | ||||
\(13\) | −168451. | + | 291765.i | −0.453687 | + | 0.785809i | −0.998612 | − | 0.0526760i | \(-0.983225\pi\) |
0.544925 | + | 0.838485i | \(0.316558\pi\) | |||||||
\(14\) | −77162.9 | + | 133650.i | −0.143472 | + | 0.248501i | ||||
\(15\) | −655050. | + | 1.13458e6i | −0.862617 | + | 1.49410i | ||||
\(16\) | −58159.9 | −0.0554656 | ||||||||
\(17\) | 117678. | − | 203824.i | 0.0828802 | − | 0.143553i | −0.821606 | − | 0.570056i | \(-0.806921\pi\) |
0.904486 | + | 0.426503i | \(0.140255\pi\) | |||||||
\(18\) | 85532.8 | + | 49382.4i | 0.0452658 | + | 0.0261342i | ||||
\(19\) | −737457. | + | 425771.i | −0.297830 | + | 0.171952i | −0.641468 | − | 0.767150i | \(-0.721674\pi\) |
0.343637 | + | 0.939102i | \(0.388341\pi\) | |||||||
\(20\) | 2.95873e6 | − | 1.70823e6i | 0.924604 | − | 0.533821i | ||||
\(21\) | 1.75998e6 | 0.430935 | ||||||||
\(22\) | − | 6.32827e6i | − | 1.22792i | ||||||
\(23\) | 2.63431e6 | + | 4.56276e6i | 0.409287 | + | 0.708905i | 0.994810 | − | 0.101750i | \(-0.0324443\pi\) |
−0.585523 | + | 0.810655i | \(0.699111\pi\) | |||||||
\(24\) | 3.87697e6 | + | 6.71510e6i | 0.486896 | + | 0.843328i | ||||
\(25\) | 1.09475e7 | − | 1.89615e7i | 1.12102 | − | 1.94166i | ||||
\(26\) | 5.95674e6 | + | 3.43913e6i | 0.501351 | + | 0.289455i | ||||
\(27\) | − | 1.48749e7i | − | 1.03666i | ||||||
\(28\) | −3.97475e6 | − | 2.29482e6i | −0.230951 | − | 0.133340i | ||||
\(29\) | 5.47605e6 | + | 3.16160e6i | 0.266979 | + | 0.154141i | 0.627514 | − | 0.778605i | \(-0.284072\pi\) |
−0.360535 | + | 0.932746i | \(0.617406\pi\) | |||||||
\(30\) | 2.31638e7 | + | 1.33736e7i | 0.953244 | + | 0.550356i | ||||
\(31\) | −1.79685e7 | − | 3.11224e7i | −0.627630 | − | 1.08709i | −0.988026 | − | 0.154288i | \(-0.950692\pi\) |
0.360396 | − | 0.932799i | \(-0.382642\pi\) | |||||||
\(32\) | − | 3.29143e7i | − | 0.980924i | ||||||
\(33\) | −6.25009e7 | + | 3.60849e7i | −1.59704 | + | 0.922053i | ||||
\(34\) | −4.16132e6 | − | 2.40254e6i | −0.0915876 | − | 0.0528781i | ||||
\(35\) | −4.25326e7 | −0.809808 | ||||||||
\(36\) | −1.46863e6 | + | 2.54375e6i | −0.0242885 | + | 0.0420689i | ||||
\(37\) | 5.89077e7 | − | 3.40104e7i | 0.849499 | − | 0.490459i | −0.0109825 | − | 0.999940i | \(-0.503496\pi\) |
0.860482 | + | 0.509481i | \(0.170163\pi\) | |||||||
\(38\) | 8.69263e6 | + | 1.50561e7i | 0.109707 | + | 0.190018i | ||||
\(39\) | − | 7.84420e7i | − | 0.869412i | ||||||
\(40\) | −9.36927e7 | − | 1.62280e8i | −0.914968 | − | 1.58477i | ||||
\(41\) | 1.60791e8 | 1.38785 | 0.693924 | − | 0.720048i | \(-0.255880\pi\) | ||||
0.693924 | + | 0.720048i | \(0.255880\pi\) | |||||||
\(42\) | − | 3.59322e7i | − | 0.274940i | ||||||
\(43\) | −1.41723e8 | + | 3.90667e7i | −0.964043 | + | 0.265745i | ||||
\(44\) | 1.88203e8 | 1.14120 | ||||||||
\(45\) | 2.72199e7i | 0.147511i | ||||||||
\(46\) | 9.31542e7 | − | 5.37826e7i | 0.452286 | − | 0.261128i | ||||
\(47\) | 1.69879e8 | 0.740714 | 0.370357 | − | 0.928889i | \(-0.379235\pi\) | ||||
0.370357 | + | 0.928889i | \(0.379235\pi\) | |||||||
\(48\) | 1.17273e7 | − | 6.77078e6i | 0.0460250 | − | 0.0265725i | ||||
\(49\) | −1.12669e8 | − | 1.95148e8i | −0.398862 | − | 0.690849i | ||||
\(50\) | −3.87123e8 | − | 2.23505e8i | −1.23879 | − | 0.715218i | ||||
\(51\) | 5.47988e7i | 0.158825i | ||||||||
\(52\) | −1.02280e8 | + | 1.77154e8i | −0.269013 | + | 0.465944i | ||||
\(53\) | −6.07591e7 | − | 1.05238e8i | −0.145289 | − | 0.251647i | 0.784192 | − | 0.620518i | \(-0.213078\pi\) |
−0.929481 | + | 0.368871i | \(0.879744\pi\) | |||||||
\(54\) | −3.03690e8 | −0.661396 | ||||||||
\(55\) | 1.51043e9 | − | 8.72045e8i | 3.00114 | − | 1.73271i | ||||
\(56\) | −1.25866e8 | + | 2.18007e8i | −0.228544 | + | 0.395850i | ||||
\(57\) | 9.91338e7 | − | 1.71705e8i | 0.164758 | − | 0.285370i | ||||
\(58\) | 6.45479e7 | − | 1.11800e8i | 0.0983427 | − | 0.170334i | ||||
\(59\) | 7.67422e8 | 1.07343 | 0.536716 | − | 0.843763i | \(-0.319665\pi\) | ||||
0.536716 | + | 0.843763i | \(0.319665\pi\) | |||||||
\(60\) | −3.97732e8 | + | 6.88892e8i | −0.511487 | + | 0.885921i | ||||
\(61\) | 6.41857e8 | + | 3.70576e8i | 0.759957 | + | 0.438761i | 0.829280 | − | 0.558833i | \(-0.188751\pi\) |
−0.0693235 | + | 0.997594i | \(0.522084\pi\) | |||||||
\(62\) | −6.35401e8 | + | 3.66849e8i | −0.693569 | + | 0.400432i | ||||
\(63\) | 3.16680e7 | − | 1.82835e7i | 0.0319093 | − | 0.0184229i | ||||
\(64\) | −7.31542e8 | −0.681301 | ||||||||
\(65\) | 1.89567e9i | 1.63379i | ||||||||
\(66\) | 7.36717e8 | + | 1.27603e9i | 0.588276 | + | 1.01892i | ||||
\(67\) | −8.44456e8 | − | 1.46264e9i | −0.625465 | − | 1.08334i | −0.988451 | − | 0.151542i | \(-0.951576\pi\) |
0.362986 | − | 0.931795i | \(-0.381757\pi\) | |||||||
\(68\) | 7.14516e7 | − | 1.23758e8i | 0.0491436 | − | 0.0851193i | ||||
\(69\) | −1.06236e9 | − | 6.13355e8i | −0.679246 | − | 0.392163i | ||||
\(70\) | 8.68355e8i | 0.516663i | ||||||||
\(71\) | −1.33181e9 | − | 7.68923e8i | −0.738162 | − | 0.426178i | 0.0832387 | − | 0.996530i | \(-0.473474\pi\) |
−0.821401 | + | 0.570352i | \(0.806807\pi\) | |||||||
\(72\) | 1.39519e8 | + | 8.05515e7i | 0.0721060 | + | 0.0416304i | ||||
\(73\) | 5.28559e8 | + | 3.05163e8i | 0.254964 | + | 0.147204i | 0.622035 | − | 0.782989i | \(-0.286306\pi\) |
−0.367071 | + | 0.930193i | \(0.619639\pi\) | |||||||
\(74\) | −6.94363e8 | − | 1.20267e9i | −0.312916 | − | 0.541986i | ||||
\(75\) | 5.09787e9i | 2.14824i | ||||||||
\(76\) | −4.47768e8 | + | 2.58519e8i | −0.176598 | + | 0.101959i | ||||
\(77\) | −2.02910e9 | − | 1.17150e9i | −0.749635 | − | 0.432802i | ||||
\(78\) | −1.60149e9 | −0.554691 | ||||||||
\(79\) | −2.40203e9 | + | 4.16043e9i | −0.780625 | + | 1.35208i | 0.150954 | + | 0.988541i | \(0.451766\pi\) |
−0.931578 | + | 0.363541i | \(0.881568\pi\) | |||||||
\(80\) | −2.83409e8 | + | 1.63626e8i | −0.0864895 | + | 0.0499347i | ||||
\(81\) | 1.58886e9 | + | 2.75199e9i | 0.455682 | + | 0.789264i | ||||
\(82\) | − | 3.28274e9i | − | 0.885456i | ||||||
\(83\) | 2.27518e8 | + | 3.94072e8i | 0.0577596 | + | 0.100043i | 0.893459 | − | 0.449144i | \(-0.148271\pi\) |
−0.835700 | + | 0.549187i | \(0.814938\pi\) | |||||||
\(84\) | 1.06862e9 | 0.255522 | ||||||||
\(85\) | − | 1.32429e9i | − | 0.298463i | ||||||
\(86\) | 7.97594e8 | + | 2.89344e9i | 0.169547 | + | 0.615066i | ||||
\(87\) | −1.47225e9 | −0.295383 | ||||||||
\(88\) | − | 1.03225e10i | − | 1.95602i | ||||||
\(89\) | 4.12432e9 | − | 2.38118e9i | 0.738589 | − | 0.426424i | −0.0829672 | − | 0.996552i | \(-0.526440\pi\) |
0.821556 | + | 0.570128i | \(0.193106\pi\) | |||||||
\(90\) | 5.55726e8 | 0.0941128 | ||||||||
\(91\) | 2.20545e9 | − | 1.27332e9i | 0.353419 | − | 0.204047i | ||||
\(92\) | 1.59950e9 | + | 2.77041e9i | 0.242685 | + | 0.420344i | ||||
\(93\) | 7.24633e9 | + | 4.18367e9i | 1.04161 | + | 0.601371i | ||||
\(94\) | − | 3.46829e9i | − | 0.472581i | ||||||
\(95\) | −2.39572e9 | + | 4.14950e9i | −0.309612 | + | 0.536263i | ||||
\(96\) | 3.83178e9 | + | 6.63684e9i | 0.469942 | + | 0.813964i | ||||
\(97\) | −1.08534e10 | −1.26389 | −0.631944 | − | 0.775014i | \(-0.717743\pi\) | ||||
−0.631944 | + | 0.775014i | \(0.717743\pi\) | |||||||
\(98\) | −3.98418e9 | + | 2.30026e9i | −0.440766 | + | 0.254476i | ||||
\(99\) | −7.49733e8 | + | 1.29858e9i | −0.0788371 | + | 0.136550i | ||||
\(100\) | 6.64706e9 | − | 1.15130e10i | 0.664706 | − | 1.15130i | ||||
\(101\) | 5.78487e8 | − | 1.00197e9i | 0.0550410 | − | 0.0953338i | −0.837192 | − | 0.546909i | \(-0.815804\pi\) |
0.892233 | + | 0.451575i | \(0.149138\pi\) | |||||||
\(102\) | 1.11878e9 | 0.101332 | ||||||||
\(103\) | −1.01105e10 | + | 1.75120e10i | −0.872145 | + | 1.51060i | −0.0123712 | + | 0.999923i | \(0.503938\pi\) |
−0.859774 | + | 0.510675i | \(0.829395\pi\) | |||||||
\(104\) | 9.71651e9 | + | 5.60983e9i | 0.798626 | + | 0.461087i | ||||
\(105\) | 8.57627e9 | − | 4.95151e9i | 0.671973 | − | 0.387964i | ||||
\(106\) | −2.14856e9 | + | 1.24047e9i | −0.160553 | + | 0.0926952i | ||||
\(107\) | −4.83969e9 | −0.345063 | −0.172532 | − | 0.985004i | \(-0.555195\pi\) | ||||
−0.172532 | + | 0.985004i | \(0.555195\pi\) | |||||||
\(108\) | − | 9.03174e9i | − | 0.614685i | ||||||
\(109\) | −3.09935e9 | − | 5.36823e9i | −0.201436 | − | 0.348898i | 0.747555 | − | 0.664200i | \(-0.231228\pi\) |
−0.948991 | + | 0.315302i | \(0.897894\pi\) | |||||||
\(110\) | −1.78039e10 | − | 3.08372e10i | −1.10548 | − | 1.91475i | ||||
\(111\) | −7.91875e9 | + | 1.37157e10i | −0.469939 | + | 0.813959i | ||||
\(112\) | 3.80730e8 | + | 2.19815e8i | 0.0216036 | + | 0.0124729i | ||||
\(113\) | − | 2.50479e10i | − | 1.35950i | −0.733445 | − | 0.679749i | \(-0.762089\pi\) | ||
0.733445 | − | 0.679749i | \(-0.237911\pi\) | |||||||
\(114\) | −3.50556e9 | − | 2.02394e9i | −0.182068 | − | 0.105117i | ||||
\(115\) | 2.56736e10 | + | 1.48226e10i | 1.27643 | + | 0.736947i | ||||
\(116\) | 3.32494e9 | + | 1.91965e9i | 0.158305 | + | 0.0913972i | ||||
\(117\) | −8.14892e8 | − | 1.41143e9i | −0.0371681 | − | 0.0643771i | ||||
\(118\) | − | 1.56679e10i | − | 0.684856i | ||||||
\(119\) | −1.54070e9 | + | 8.89526e8i | −0.0645631 | + | 0.0372755i | ||||
\(120\) | 3.77843e10 | + | 2.18148e10i | 1.51847 | + | 0.876688i | ||||
\(121\) | 7.01397e10 | 2.70419 | ||||||||
\(122\) | 7.56576e9 | − | 1.31043e10i | 0.279933 | − | 0.484857i | ||||
\(123\) | −3.24218e10 | + | 1.87187e10i | −1.15163 | + | 0.664892i | ||||
\(124\) | −1.09101e10 | − | 1.88968e10i | −0.372152 | − | 0.644586i | ||||
\(125\) | − | 6.82486e10i | − | 2.23637i | ||||||
\(126\) | −3.73280e8 | − | 6.46541e8i | −0.0117539 | − | 0.0203584i | ||||
\(127\) | −5.89572e10 | −1.78451 | −0.892254 | − | 0.451534i | \(-0.850877\pi\) | ||||
−0.892254 | + | 0.451534i | \(0.850877\pi\) | |||||||
\(128\) | − | 1.87690e10i | − | 0.546249i | ||||||
\(129\) | 2.40289e10 | − | 2.43763e10i | 0.672643 | − | 0.682368i | ||||
\(130\) | 3.87024e10 | 1.04237 | ||||||||
\(131\) | − | 4.87930e9i | − | 0.126474i | −0.997999 | − | 0.0632370i | \(-0.979858\pi\) | ||
0.997999 | − | 0.0632370i | \(-0.0201424\pi\) | |||||||
\(132\) | −3.79492e10 | + | 2.19100e10i | −0.946962 | + | 0.546729i | ||||
\(133\) | 6.43679e9 | 0.154672 | ||||||||
\(134\) | −2.98616e10 | + | 1.72406e10i | −0.691176 | + | 0.399051i | ||||
\(135\) | −4.18489e10 | − | 7.24844e10i | −0.933287 | − | 1.61650i | ||||
\(136\) | −6.78786e9 | − | 3.91897e9i | −0.145894 | − | 0.0842321i | ||||
\(137\) | 6.53754e10i | 1.35460i | 0.735706 | + | 0.677301i | \(0.236851\pi\) | ||||
−0.735706 | + | 0.677301i | \(0.763149\pi\) | |||||||
\(138\) | −1.25224e10 | + | 2.16894e10i | −0.250203 | + | 0.433364i | ||||
\(139\) | 2.81957e10 | + | 4.88364e10i | 0.543387 | + | 0.941174i | 0.998707 | + | 0.0508458i | \(0.0161917\pi\) |
−0.455319 | + | 0.890328i | \(0.650475\pi\) | |||||||
\(140\) | −2.58249e10 | −0.480174 | ||||||||
\(141\) | −3.42544e10 | + | 1.97768e10i | −0.614640 | + | 0.354862i | ||||
\(142\) | −1.56985e10 | + | 2.71906e10i | −0.271904 | + | 0.470952i | ||||
\(143\) | −5.22135e10 | + | 9.04365e10i | −0.873178 | + | 1.51239i | ||||
\(144\) | 1.40676e8 | − | 2.43658e8i | 0.00227200 | − | 0.00393522i | ||||
\(145\) | 3.55792e10 | 0.555080 | ||||||||
\(146\) | 6.23028e9 | − | 1.07912e10i | 0.0939168 | − | 0.162669i | ||||
\(147\) | 4.54369e10 | + | 2.62330e10i | 0.661945 | + | 0.382174i | ||||
\(148\) | 3.57675e10 | − | 2.06503e10i | 0.503709 | − | 0.290816i | ||||
\(149\) | −8.30959e9 | + | 4.79755e9i | −0.113148 | + | 0.0653263i | −0.555506 | − | 0.831512i | \(-0.687475\pi\) |
0.442358 | + | 0.896839i | \(0.354142\pi\) | |||||||
\(150\) | 1.04079e11 | 1.37059 | ||||||||
\(151\) | 3.72126e10i | 0.474029i | 0.971506 | + | 0.237015i | \(0.0761689\pi\) | ||||
−0.971506 | + | 0.237015i | \(0.923831\pi\) | |||||||
\(152\) | 1.41792e10 | + | 2.45592e10i | 0.174757 | + | 0.302688i | ||||
\(153\) | 5.69276e8 | + | 9.86014e8i | 0.00678993 | + | 0.0117605i | ||||
\(154\) | −2.39176e10 | + | 4.14266e10i | −0.276131 | + | 0.478272i | ||||
\(155\) | −1.75118e11 | − | 1.01105e11i | −1.95737 | − | 1.13009i | ||||
\(156\) | − | 4.76283e10i | − | 0.515516i | ||||||
\(157\) | 1.46982e10 | + | 8.48600e9i | 0.154087 | + | 0.0889621i | 0.575061 | − | 0.818111i | \(-0.304978\pi\) |
−0.420974 | + | 0.907073i | \(0.638312\pi\) | |||||||
\(158\) | 8.49402e10 | + | 4.90403e10i | 0.862637 | + | 0.498044i | ||||
\(159\) | 2.45029e10 | + | 1.41468e10i | 0.241119 | + | 0.139210i | ||||
\(160\) | −9.26007e10 | − | 1.60389e11i | −0.883109 | − | 1.52959i | ||||
\(161\) | − | 3.98254e10i | − | 0.368155i | ||||||
\(162\) | 5.61853e10 | − | 3.24386e10i | 0.503556 | − | 0.290728i | ||||
\(163\) | 8.93459e10 | + | 5.15839e10i | 0.776491 | + | 0.448307i | 0.835185 | − | 0.549969i | \(-0.185360\pi\) |
−0.0586942 | + | 0.998276i | \(0.518694\pi\) | |||||||
\(164\) | 9.76287e10 | 0.822921 | ||||||||
\(165\) | −2.03041e11 | + | 3.51678e11i | −1.66022 | + | 2.87558i | ||||
\(166\) | 8.04545e9 | − | 4.64505e9i | 0.0638278 | − | 0.0368510i | ||||
\(167\) | 8.23346e10 | + | 1.42608e11i | 0.633870 | + | 1.09789i | 0.986753 | + | 0.162228i | \(0.0518679\pi\) |
−0.352883 | + | 0.935667i | \(0.614799\pi\) | |||||||
\(168\) | − | 5.86118e10i | − | 0.437964i | ||||||
\(169\) | 1.21779e10 | + | 2.10927e10i | 0.0883361 | + | 0.153003i | ||||
\(170\) | −2.70371e10 | −0.190421 | ||||||||
\(171\) | − | 4.11939e9i | − | 0.0281743i | ||||||
\(172\) | −8.60508e10 | + | 2.37205e10i | −0.571627 | + | 0.157573i | ||||
\(173\) | 6.13089e10 | 0.395633 | 0.197817 | − | 0.980239i | \(-0.436615\pi\) | ||||
0.197817 | + | 0.980239i | \(0.436615\pi\) | |||||||
\(174\) | 3.00578e10i | 0.188456i | ||||||||
\(175\) | −1.43330e11 | + | 8.27516e10i | −0.873266 | + | 0.504180i | ||||
\(176\) | −1.80274e10 | −0.106751 | ||||||||
\(177\) | −1.54743e11 | + | 8.93408e10i | −0.890726 | + | 0.514261i | ||||
\(178\) | −4.86147e10 | − | 8.42031e10i | −0.272062 | − | 0.471224i | ||||
\(179\) | 2.02221e11 | + | 1.16753e11i | 1.10043 | + | 0.635333i | 0.936334 | − | 0.351112i | \(-0.114196\pi\) |
0.164095 | + | 0.986445i | \(0.447530\pi\) | |||||||
\(180\) | 1.65273e10i | 0.0874661i | ||||||||
\(181\) | 8.26646e10 | − | 1.43179e11i | 0.425527 | − | 0.737034i | −0.570943 | − | 0.820990i | \(-0.693422\pi\) |
0.996469 | + | 0.0839560i | \(0.0267555\pi\) | |||||||
\(182\) | −2.59963e10 | − | 4.50269e10i | −0.130183 | − | 0.225484i | ||||
\(183\) | −1.72565e11 | −0.840809 | ||||||||
\(184\) | 1.51951e11 | − | 8.77290e10i | 0.720468 | − | 0.415962i | ||||
\(185\) | 1.91368e11 | − | 3.31460e11i | 0.883103 | − | 1.52958i | ||||
\(186\) | 8.54147e10 | − | 1.47943e11i | 0.383679 | − | 0.664551i | ||||
\(187\) | 3.64759e10 | − | 6.31781e10i | 0.159514 | − | 0.276286i | ||||
\(188\) | 1.03147e11 | 0.439205 | ||||||||
\(189\) | −5.62196e10 | + | 9.73753e10i | −0.233120 | + | 0.403775i | ||||
\(190\) | 8.47171e10 | + | 4.89114e10i | 0.342139 | + | 0.197534i | ||||
\(191\) | −2.18596e11 | + | 1.26207e11i | −0.859955 | + | 0.496495i | −0.863997 | − | 0.503497i | \(-0.832047\pi\) |
0.00404226 | + | 0.999992i | \(0.498713\pi\) | |||||||
\(192\) | 1.47508e11 | − | 8.51637e10i | 0.565339 | − | 0.326399i | ||||
\(193\) | −3.16793e11 | −1.18301 | −0.591507 | − | 0.806300i | \(-0.701467\pi\) | ||||
−0.591507 | + | 0.806300i | \(0.701467\pi\) | |||||||
\(194\) | 2.21586e11i | 0.806369i | ||||||||
\(195\) | −2.20687e11 | − | 3.82242e11i | −0.782717 | − | 1.35571i | ||||
\(196\) | −6.84099e10 | − | 1.18489e11i | −0.236504 | − | 0.409637i | ||||
\(197\) | 8.09685e10 | − | 1.40241e11i | 0.272888 | − | 0.472656i | −0.696712 | − | 0.717351i | \(-0.745354\pi\) |
0.969600 | + | 0.244695i | \(0.0786878\pi\) | |||||||
\(198\) | 2.65120e10 | + | 1.53067e10i | 0.0871198 | + | 0.0502986i | ||||
\(199\) | 9.52483e9i | 0.0305205i | 0.999884 | + | 0.0152603i | \(0.00485768\pi\) | ||||
−0.999884 | + | 0.0152603i | \(0.995142\pi\) | |||||||
\(200\) | −6.31466e11 | − | 3.64577e11i | −1.97333 | − | 1.13930i | ||||
\(201\) | 3.40552e11 | + | 1.96618e11i | 1.03801 | + | 0.599297i | ||||
\(202\) | −2.04564e10 | − | 1.18105e10i | −0.0608236 | − | 0.0351165i | ||||
\(203\) | −2.38985e10 | − | 4.13933e10i | −0.0693250 | − | 0.120074i | ||||
\(204\) | 3.32726e10i | 0.0941752i | ||||||||
\(205\) | 7.83521e11 | − | 4.52366e11i | 2.16412 | − | 1.24946i | ||||
\(206\) | 3.57528e11 | + | 2.06419e11i | 0.963772 | + | 0.556434i | ||||
\(207\) | −2.54873e10 | −0.0670613 | ||||||||
\(208\) | 9.79708e9 | − | 1.69690e10i | 0.0251640 | − | 0.0435854i | ||||
\(209\) | −2.28585e11 | + | 1.31973e11i | −0.573212 | + | 0.330944i | ||||
\(210\) | −1.01091e11 | − | 1.75095e11i | −0.247523 | − | 0.428723i | ||||
\(211\) | − | 4.69015e11i | − | 1.12144i | −0.828007 | − | 0.560718i | \(-0.810525\pi\) | ||
0.828007 | − | 0.560718i | \(-0.189475\pi\) | |||||||
\(212\) | −3.68916e10 | − | 6.38981e10i | −0.0861486 | − | 0.149214i | ||||
\(213\) | 3.58062e11 | 0.816696 | ||||||||
\(214\) | 9.88082e10i | 0.220153i | ||||||||
\(215\) | −5.80694e11 | + | 5.89089e11i | −1.26402 | + | 1.28230i | ||||
\(216\) | −4.95372e11 | −1.05357 | ||||||||
\(217\) | 2.71647e11i | 0.564555i | ||||||||
\(218\) | −1.09599e11 | + | 6.32769e10i | −0.222599 | + | 0.128518i | ||||
\(219\) | −1.42105e11 | −0.282090 | ||||||||
\(220\) | 9.17098e11 | − | 5.29487e11i | 1.77952 | − | 1.02741i | ||||
\(221\) | 3.96459e10 | + | 6.86688e10i | 0.0752034 | + | 0.130256i | ||||
\(222\) | 2.80022e11 | + | 1.61671e11i | 0.519311 | + | 0.299824i | ||||
\(223\) | 6.51582e11i | 1.18153i | 0.806844 | + | 0.590765i | \(0.201174\pi\) | ||||
−0.806844 | + | 0.590765i | \(0.798826\pi\) | |||||||
\(224\) | −1.24399e11 | + | 2.15466e11i | −0.220586 | + | 0.382066i | ||||
\(225\) | 5.29590e10 | + | 9.17277e10i | 0.0918390 | + | 0.159070i | ||||
\(226\) | −5.11383e11 | −0.867369 | ||||||||
\(227\) | 2.13003e11 | − | 1.22977e11i | 0.353392 | − | 0.204031i | −0.312786 | − | 0.949824i | \(-0.601262\pi\) |
0.666178 | + | 0.745793i | \(0.267929\pi\) | |||||||
\(228\) | 6.01919e10 | − | 1.04255e11i | 0.0976931 | − | 0.169209i | ||||
\(229\) | −1.72791e11 | + | 2.99282e11i | −0.274374 | + | 0.475229i | −0.969977 | − | 0.243197i | \(-0.921804\pi\) |
0.695603 | + | 0.718426i | \(0.255137\pi\) | |||||||
\(230\) | 3.02622e11 | − | 5.24157e11i | 0.470177 | − | 0.814371i | ||||
\(231\) | 5.45530e11 | 0.829390 | ||||||||
\(232\) | 1.05289e11 | − | 1.82366e11i | 0.156655 | − | 0.271334i | ||||
\(233\) | −7.25021e11 | − | 4.18591e11i | −1.05577 | − | 0.609552i | −0.131514 | − | 0.991314i | \(-0.541984\pi\) |
−0.924260 | + | 0.381763i | \(0.875317\pi\) | |||||||
\(234\) | −2.88161e10 | + | 1.66370e10i | −0.0410730 | + | 0.0237135i | ||||
\(235\) | 8.27808e11 | − | 4.77935e11i | 1.15502 | − | 0.666852i | ||||
\(236\) | 4.65962e11 | 0.636489 | ||||||||
\(237\) | − | 1.11854e12i | − | 1.49593i | ||||||
\(238\) | 1.81608e10 | + | 3.14554e10i | 0.0237820 | + | 0.0411917i | ||||
\(239\) | 4.80355e11 | + | 8.31999e11i | 0.615988 | + | 1.06692i | 0.990210 | + | 0.139584i | \(0.0445765\pi\) |
−0.374222 | + | 0.927339i | \(0.622090\pi\) | |||||||
\(240\) | 3.80976e10 | − | 6.59870e10i | 0.0478456 | − | 0.0828710i | ||||
\(241\) | 9.35190e11 | + | 5.39932e11i | 1.15031 | + | 0.664131i | 0.948962 | − | 0.315389i | \(-0.102135\pi\) |
0.201346 | + | 0.979520i | \(0.435468\pi\) | |||||||
\(242\) | − | 1.43199e12i | − | 1.72529i | ||||||
\(243\) | 1.19917e11 | + | 6.92341e10i | 0.141530 | + | 0.0817125i | ||||
\(244\) | 3.89721e11 | + | 2.25006e11i | 0.450615 | + | 0.260162i | ||||
\(245\) | −1.09805e12 | − | 6.33960e11i | −1.24392 | − | 0.718177i | ||||
\(246\) | 3.82166e11 | + | 6.61930e11i | 0.424205 | + | 0.734745i | ||||
\(247\) | − | 2.86886e11i | − | 0.312050i | ||||||
\(248\) | −1.03645e12 | + | 5.98396e11i | −1.10482 | + | 0.637867i | ||||
\(249\) | −9.17531e10 | − | 5.29737e10i | −0.0958571 | − | 0.0553431i | ||||
\(250\) | −1.39338e12 | −1.42682 | ||||||||
\(251\) | −6.83880e11 | + | 1.18451e12i | −0.686454 | + | 1.18897i | 0.286524 | + | 0.958073i | \(0.407500\pi\) |
−0.972978 | + | 0.230900i | \(0.925833\pi\) | |||||||
\(252\) | 1.92281e10 | − | 1.11014e10i | 0.0189206 | − | 0.0109238i | ||||
\(253\) | 8.16538e11 | + | 1.41429e12i | 0.787724 | + | 1.36438i | ||||
\(254\) | 1.20368e12i | 1.13853i | ||||||||
\(255\) | 1.54170e11 | + | 2.67030e11i | 0.142988 | + | 0.247662i | ||||
\(256\) | −1.13229e12 | −1.02981 | ||||||||
\(257\) | − | 5.43433e11i | − | 0.484708i | −0.970188 | − | 0.242354i | \(-0.922080\pi\) | ||
0.970188 | − | 0.242354i | \(-0.0779196\pi\) | |||||||
\(258\) | −4.97671e11 | − | 4.90579e11i | −0.435355 | − | 0.429151i | ||||
\(259\) | −5.14167e11 | −0.441169 | ||||||||
\(260\) | 1.15101e12i | 0.968750i | ||||||||
\(261\) | −2.64908e10 | + | 1.52944e10i | −0.0218722 | + | 0.0126279i | ||||
\(262\) | −9.96169e10 | −0.0806913 | ||||||||
\(263\) | −9.84382e10 | + | 5.68333e10i | −0.0782321 | + | 0.0451673i | −0.538606 | − | 0.842558i | \(-0.681049\pi\) |
0.460374 | + | 0.887725i | \(0.347715\pi\) | |||||||
\(264\) | 1.20172e12 | + | 2.08143e12i | 0.937092 | + | 1.62309i | ||||
\(265\) | −5.92149e11 | − | 3.41877e11i | −0.453108 | − | 0.261602i | ||||
\(266\) | − | 1.31415e11i | − | 0.0986816i | ||||||
\(267\) | −5.54418e11 | + | 9.60281e11i | −0.408584 | + | 0.707688i | ||||
\(268\) | −5.12735e11 | − | 8.88084e11i | −0.370868 | − | 0.642362i | ||||
\(269\) | −2.42148e12 | −1.71918 | −0.859588 | − | 0.510988i | \(-0.829280\pi\) | ||||
−0.859588 | + | 0.510988i | \(0.829280\pi\) | |||||||
\(270\) | −1.47986e12 | + | 8.54396e11i | −1.03134 | + | 0.595443i | ||||
\(271\) | −1.31493e12 | + | 2.27752e12i | −0.899612 | + | 1.55817i | −0.0716210 | + | 0.997432i | \(0.522817\pi\) |
−0.827991 | + | 0.560742i | \(0.810516\pi\) | |||||||
\(272\) | −6.84414e9 | + | 1.18544e10i | −0.00459700 | + | 0.00796224i | ||||
\(273\) | −2.96471e11 | + | 5.13502e11i | −0.195510 | + | 0.338633i | ||||
\(274\) | 1.33472e12 | 0.864245 | ||||||||
\(275\) | 3.39331e12 | − | 5.87738e12i | 2.15754 | − | 3.73697i | ||||
\(276\) | −6.45043e11 | − | 3.72416e11i | −0.402757 | − | 0.232532i | ||||
\(277\) | −1.53079e12 | + | 8.83800e11i | −0.938676 | + | 0.541945i | −0.889545 | − | 0.456847i | \(-0.848979\pi\) |
−0.0491311 | + | 0.998792i | \(0.515645\pi\) | |||||||
\(278\) | 9.97055e11 | − | 5.75650e11i | 0.600475 | − | 0.346685i | ||||
\(279\) | 1.73848e11 | 0.102837 | ||||||||
\(280\) | 1.41644e12i | 0.823017i | ||||||||
\(281\) | 2.58249e11 | + | 4.47301e11i | 0.147403 | + | 0.255310i | 0.930267 | − | 0.366883i | \(-0.119575\pi\) |
−0.782864 | + | 0.622193i | \(0.786242\pi\) | |||||||
\(282\) | 4.03767e11 | + | 6.99345e11i | 0.226405 | + | 0.392144i | ||||
\(283\) | −6.03889e11 | + | 1.04597e12i | −0.332679 | + | 0.576216i | −0.983036 | − | 0.183412i | \(-0.941286\pi\) |
0.650358 | + | 0.759628i | \(0.274619\pi\) | |||||||
\(284\) | −8.08648e11 | − | 4.66873e11i | −0.437691 | − | 0.252701i | ||||
\(285\) | − | 1.11561e12i | − | 0.593317i | ||||||
\(286\) | 1.84637e12 | + | 1.06600e12i | 0.964914 | + | 0.557094i | ||||
\(287\) | −1.05258e12 | − | 6.07707e11i | −0.540562 | − | 0.312094i | ||||
\(288\) | 1.37893e11 | + | 7.96126e10i | 0.0695953 | + | 0.0401809i | ||||
\(289\) | 9.80301e11 | + | 1.69793e12i | 0.486262 | + | 0.842230i | ||||
\(290\) | − | 7.26392e11i | − | 0.354145i | ||||||
\(291\) | 2.18848e12 | − | 1.26352e12i | 1.04877 | − | 0.605505i | ||||
\(292\) | 3.20929e11 | + | 1.85289e11i | 0.151180 | + | 0.0872840i | ||||
\(293\) | 2.59734e12 | 1.20279 | 0.601395 | − | 0.798952i | \(-0.294612\pi\) | ||||
0.601395 | + | 0.798952i | \(0.294612\pi\) | |||||||
\(294\) | 5.35579e11 | − | 9.27649e11i | 0.243830 | − | 0.422325i | ||||
\(295\) | 3.73959e12 | − | 2.15905e12i | 1.67384 | − | 0.966392i | ||||
\(296\) | −1.13263e12 | − | 1.96177e12i | −0.498459 | − | 0.863356i | ||||
\(297\) | − | 4.61068e12i | − | 1.99518i | ||||||
\(298\) | 9.79477e10 | + | 1.69650e11i | 0.0416786 | + | 0.0721894i | ||||
\(299\) | −1.77501e12 | −0.742752 | ||||||||
\(300\) | 3.09531e12i | 1.27379i | ||||||||
\(301\) | 1.07541e12 | + | 2.79898e11i | 0.435251 | + | 0.113284i | ||||
\(302\) | 7.59740e11 | 0.302434 | ||||||||
\(303\) | 2.69382e11i | 0.105476i | ||||||||
\(304\) | 4.28904e10 | − | 2.47628e10i | 0.0165193 | − | 0.00953744i | ||||
\(305\) | 4.17029e12 | 1.58004 | ||||||||
\(306\) | 2.01307e10 | − | 1.16224e10i | 0.00750328 | − | 0.00433202i | ||||
\(307\) | 1.18310e11 | + | 2.04919e11i | 0.0433840 | + | 0.0751433i | 0.886902 | − | 0.461958i | \(-0.152853\pi\) |
−0.843518 | + | 0.537101i | \(0.819519\pi\) | |||||||
\(308\) | −1.23203e12 | − | 7.11311e11i | −0.444495 | − | 0.256629i | ||||
\(309\) | − | 4.70815e12i | − | 1.67131i | ||||||
\(310\) | −2.06417e12 | + | 3.57525e12i | −0.721004 | + | 1.24882i | ||||
\(311\) | −2.30458e12 | − | 3.99165e12i | −0.792117 | − | 1.37199i | −0.924654 | − | 0.380809i | \(-0.875645\pi\) |
0.132536 | − | 0.991178i | \(-0.457688\pi\) | |||||||
\(312\) | −2.61231e12 | −0.883593 | ||||||||
\(313\) | −1.63573e12 | + | 9.44387e11i | −0.544489 | + | 0.314361i | −0.746896 | − | 0.664941i | \(-0.768457\pi\) |
0.202407 | + | 0.979301i | \(0.435124\pi\) | |||||||
\(314\) | 1.73252e11 | − | 3.00081e11i | 0.0567584 | − | 0.0983084i | ||||
\(315\) | 1.02877e11 | − | 1.78189e11i | 0.0331716 | − | 0.0574549i | ||||
\(316\) | −1.45846e12 | + | 2.52612e12i | −0.462869 | + | 0.801713i | ||||
\(317\) | −4.24180e11 | −0.132512 | −0.0662558 | − | 0.997803i | \(-0.521105\pi\) | ||||
−0.0662558 | + | 0.997803i | \(0.521105\pi\) | |||||||
\(318\) | 2.88823e11 | − | 5.00256e11i | 0.0888170 | − | 0.153836i | ||||
\(319\) | 1.69737e12 | + | 9.79979e11i | 0.513835 | + | 0.296663i | ||||
\(320\) | −3.56475e12 | + | 2.05811e12i | −1.06238 | + | 0.613364i | ||||
\(321\) | 9.75874e11 | − | 5.63421e11i | 0.286331 | − | 0.165313i | ||||
\(322\) | −8.13083e11 | −0.234885 | ||||||||
\(323\) | 2.00416e11i | 0.0570058i | ||||||||
\(324\) | 9.64724e11 | + | 1.67095e12i | 0.270195 | + | 0.467992i | ||||
\(325\) | 3.68821e12 | + | 6.38818e12i | 1.01718 | + | 1.76181i | ||||
\(326\) | 1.05315e12 | − | 1.82410e12i | 0.286023 | − | 0.495406i | ||||
\(327\) | 1.24990e12 | + | 7.21632e11i | 0.334301 | + | 0.193009i | ||||
\(328\) | − | 5.35473e12i | − | 1.41049i | ||||||
\(329\) | −1.11207e12 | − | 6.42056e11i | −0.288506 | − | 0.166569i | ||||
\(330\) | 7.17993e12 | + | 4.14534e12i | 1.83464 | + | 1.05923i | ||||
\(331\) | −5.99802e12 | − | 3.46296e12i | −1.50962 | − | 0.871580i | −0.999937 | − | 0.0112174i | \(-0.996429\pi\) |
−0.509683 | − | 0.860362i | \(-0.670237\pi\) | |||||||
\(332\) | 1.38144e11 | + | 2.39272e11i | 0.0342484 | + | 0.0593200i | ||||
\(333\) | 3.29055e11i | 0.0803613i | ||||||||
\(334\) | 2.91151e12 | − | 1.68096e12i | 0.700464 | − | 0.404413i | ||||
\(335\) | −8.22994e12 | − | 4.75156e12i | −1.95062 | − | 1.12619i | ||||
\(336\) | −1.02360e11 | −0.0239021 | ||||||||
\(337\) | 2.99747e12 | − | 5.19178e12i | 0.689614 | − | 1.19445i | −0.282349 | − | 0.959312i | \(-0.591114\pi\) |
0.971963 | − | 0.235135i | \(-0.0755531\pi\) | |||||||
\(338\) | 4.30633e11 | − | 2.48626e11i | 0.0976167 | − | 0.0563590i | ||||
\(339\) | 2.91599e12 | + | 5.05065e12i | 0.651310 | + | 1.12810i | ||||
\(340\) | − | 8.04083e11i | − | 0.176973i | ||||||
\(341\) | −5.56958e12 | − | 9.64679e12i | −1.20795 | − | 2.09224i | ||||
\(342\) | −8.41024e10 | −0.0179754 | ||||||||
\(343\) | 3.83854e12i | 0.808529i | ||||||||
\(344\) | 1.30102e12 | + | 4.71971e12i | 0.270079 | + | 0.979768i | ||||
\(345\) | −6.90242e12 | −1.41223 | ||||||||
\(346\) | − | 1.25170e12i | − | 0.252417i | ||||||
\(347\) | 3.98487e12 | − | 2.30067e12i | 0.792076 | − | 0.457305i | −0.0486171 | − | 0.998817i | \(-0.515481\pi\) |
0.840693 | + | 0.541512i | \(0.182148\pi\) | |||||||
\(348\) | −8.93920e11 | −0.175147 | ||||||||
\(349\) | 5.49473e12 | − | 3.17239e12i | 1.06125 | − | 0.612716i | 0.135476 | − | 0.990781i | \(-0.456744\pi\) |
0.925779 | + | 0.378065i | \(0.123410\pi\) | |||||||
\(350\) | 1.68947e12 | + | 2.92625e12i | 0.321670 | + | 0.557149i | ||||
\(351\) | 4.33999e12 | + | 2.50569e12i | 0.814617 | + | 0.470319i | ||||
\(352\) | − | 1.02022e13i | − | 1.88791i | ||||||
\(353\) | −2.19168e12 | + | 3.79609e12i | −0.399855 | + | 0.692570i | −0.993708 | − | 0.112004i | \(-0.964273\pi\) |
0.593853 | + | 0.804574i | \(0.297606\pi\) | |||||||
\(354\) | 1.82400e12 | + | 3.15926e12i | 0.328102 | + | 0.568289i | ||||
\(355\) | −8.65310e12 | −1.53472 | ||||||||
\(356\) | 2.50420e12 | − | 1.44580e12i | 0.437944 | − | 0.252847i | ||||
\(357\) | 2.07112e11 | − | 3.58728e11i | 0.0357160 | − | 0.0618620i | ||||
\(358\) | 2.38365e12 | − | 4.12859e12i | 0.405347 | − | 0.702081i | ||||
\(359\) | 3.36078e11 | − | 5.82104e11i | 0.0563596 | − | 0.0976177i | −0.836469 | − | 0.548014i | \(-0.815384\pi\) |
0.892829 | + | 0.450396i | \(0.148717\pi\) | |||||||
\(360\) | 9.06489e11 | 0.149917 | ||||||||
\(361\) | −2.70297e12 | + | 4.68168e12i | −0.440865 | + | 0.763600i | ||||
\(362\) | −2.92318e12 | − | 1.68770e12i | −0.470232 | − | 0.271489i | ||||
\(363\) | −1.41429e13 | + | 8.16543e12i | −2.24392 | + | 1.29553i | ||||
\(364\) | 1.33910e12 | − | 7.73130e11i | 0.209559 | − | 0.120989i | ||||
\(365\) | 3.43417e12 | 0.530099 | ||||||||
\(366\) | 3.52312e12i | 0.536442i | ||||||||
\(367\) | 2.76464e12 | + | 4.78850e12i | 0.415249 | + | 0.719232i | 0.995455 | − | 0.0952382i | \(-0.0303613\pi\) |
−0.580206 | + | 0.814470i | \(0.697028\pi\) | |||||||
\(368\) | −1.53211e11 | − | 2.65369e11i | −0.0227013 | − | 0.0393198i | ||||
\(369\) | −3.88918e11 | + | 6.73626e11i | −0.0568494 | + | 0.0984661i | ||||
\(370\) | −6.76715e12 | − | 3.90702e12i | −0.975882 | − | 0.563426i | ||||
\(371\) | 9.18553e11i | 0.130688i | ||||||||
\(372\) | 4.39982e12 | + | 2.54023e12i | 0.617618 | + | 0.356582i | ||||
\(373\) | 9.89376e12 | + | 5.71217e12i | 1.37031 | + | 0.791146i | 0.990966 | − | 0.134112i | \(-0.0428181\pi\) |
0.379339 | + | 0.925258i | \(0.376151\pi\) | |||||||
\(374\) | −1.28986e12 | − | 7.44699e11i | −0.176272 | − | 0.101771i | ||||
\(375\) | 7.94529e12 | + | 1.37616e13i | 1.07140 | + | 1.85573i | ||||
\(376\) | − | 5.65740e12i | − | 0.752796i | ||||||
\(377\) | −1.84489e12 | + | 1.06515e12i | −0.242250 | + | 0.139863i | ||||
\(378\) | 1.98803e12 | + | 1.14779e12i | 0.257611 | + | 0.148732i | ||||
\(379\) | −5.88199e12 | −0.752192 | −0.376096 | − | 0.926581i | \(-0.622734\pi\) | ||||
−0.376096 | + | 0.926581i | \(0.622734\pi\) | |||||||
\(380\) | −1.45463e12 | + | 2.51949e12i | −0.183583 | + | 0.317976i | ||||
\(381\) | 1.18881e13 | − | 6.86361e12i | 1.48077 | − | 0.854924i | ||||
\(382\) | 2.57666e12 | + | 4.46291e12i | 0.316767 | + | 0.548657i | ||||
\(383\) | − | 9.57534e12i | − | 1.16188i | −0.813947 | − | 0.580938i | \(-0.802686\pi\) | ||
0.813947 | − | 0.580938i | \(-0.197314\pi\) | |||||||
\(384\) | 2.18502e12 | + | 3.78457e12i | 0.261698 | + | 0.453274i | ||||
\(385\) | −1.31835e13 | −1.55858 | ||||||||
\(386\) | 6.46772e12i | 0.754770i | ||||||||
\(387\) | 1.79128e11 | − | 6.88234e11i | 0.0206352 | − | 0.0792832i | ||||
\(388\) | −6.58997e12 | −0.749419 | ||||||||
\(389\) | − | 1.09945e13i | − | 1.23432i | −0.786837 | − | 0.617161i | \(-0.788283\pi\) | ||
0.786837 | − | 0.617161i | \(-0.211717\pi\) | |||||||
\(390\) | −7.80393e12 | + | 4.50560e12i | −0.864949 | + | 0.499378i | ||||
\(391\) | 1.24000e12 | 0.135687 | ||||||||
\(392\) | −6.49890e12 | + | 3.75214e12i | −0.702117 | + | 0.405368i | ||||
\(393\) | 5.68033e11 | + | 9.83861e11i | 0.0605913 | + | 0.104947i | ||||
\(394\) | −2.86320e12 | − | 1.65307e12i | −0.301558 | − | 0.174104i | ||||
\(395\) | 2.70313e13i | 2.81113i | ||||||||
\(396\) | −4.55222e11 | + | 7.88467e11i | −0.0467463 | + | 0.0809670i | ||||
\(397\) | −4.01951e12 | − | 6.96199e12i | −0.407587 | − | 0.705961i | 0.587032 | − | 0.809564i | \(-0.300296\pi\) |
−0.994619 | + | 0.103603i | \(0.966963\pi\) | |||||||
\(398\) | 1.94461e11 | 0.0194723 | ||||||||
\(399\) | −1.29791e12 | + | 7.49350e11i | −0.128346 | + | 0.0741004i | ||||
\(400\) | −6.36702e11 | + | 1.10280e12i | −0.0621780 | + | 0.107695i | ||||
\(401\) | −2.35903e12 | + | 4.08595e12i | −0.227515 | + | 0.394068i | −0.957071 | − | 0.289853i | \(-0.906394\pi\) |
0.729556 | + | 0.683921i | \(0.239727\pi\) | |||||||
\(402\) | 4.01419e12 | − | 6.95278e12i | 0.382355 | − | 0.662259i | ||||
\(403\) | 1.21072e13 | 1.13899 | ||||||||
\(404\) | 3.51245e11 | − | 6.08373e11i | 0.0326364 | − | 0.0565280i | ||||
\(405\) | 1.54848e13 | + | 8.94017e12i | 1.42112 | + | 0.820485i | ||||
\(406\) | −8.45095e11 | + | 4.87916e11i | −0.0766082 | + | 0.0442298i | ||||
\(407\) | 1.82592e13 | − | 1.05420e13i | 1.63497 | − | 0.943950i | ||||
\(408\) | 1.82494e12 | 0.161416 | ||||||||
\(409\) | 2.08648e13i | 1.82305i | 0.411245 | + | 0.911525i | \(0.365094\pi\) | ||||
−0.411245 | + | 0.911525i | \(0.634906\pi\) | |||||||
\(410\) | −9.23561e12 | − | 1.59965e13i | −0.797161 | − | 1.38072i | ||||
\(411\) | −7.61080e12 | − | 1.31823e13i | −0.648965 | − | 1.12404i | ||||
\(412\) | −6.13891e12 | + | 1.06329e13i | −0.517136 | + | 0.895706i | ||||
\(413\) | −5.02375e12 | − | 2.90046e12i | −0.418098 | − | 0.241389i | ||||
\(414\) | 5.20354e11i | 0.0427855i | ||||||||
\(415\) | 2.21735e12 | + | 1.28019e12i | 0.180133 | + | 0.104000i | ||||
\(416\) | 9.60326e12 | + | 5.54445e12i | 0.770819 | + | 0.445032i | ||||
\(417\) | −1.13708e13 | − | 6.56491e12i | −0.901798 | − | 0.520653i | ||||
\(418\) | 2.69440e12 | + | 4.66683e12i | 0.211145 | + | 0.365713i | ||||
\(419\) | − | 1.69603e12i | − | 0.131330i | −0.997842 | − | 0.0656651i | \(-0.979083\pi\) | ||
0.997842 | − | 0.0656651i | \(-0.0209169\pi\) | |||||||
\(420\) | 5.20732e12 | − | 3.00645e12i | 0.398445 | − | 0.230042i | ||||
\(421\) | 1.38719e13 | + | 8.00892e12i | 1.04888 | + | 0.605569i | 0.922335 | − | 0.386392i | \(-0.126279\pi\) |
0.126542 | + | 0.991961i | \(0.459612\pi\) | |||||||
\(422\) | −9.57550e12 | −0.715483 | ||||||||
\(423\) | −4.10901e11 | + | 7.11701e11i | −0.0303414 | + | 0.0525528i | ||||
\(424\) | −3.50468e12 | + | 2.02343e12i | −0.255752 | + | 0.147659i | ||||
\(425\) | −2.57655e12 | − | 4.46272e12i | −0.185821 | − | 0.321851i | ||||
\(426\) | − | 7.31027e12i | − | 0.521057i | ||||||
\(427\) | −2.80118e12 | − | 4.85178e12i | −0.197334 | − | 0.341792i | ||||
\(428\) | −2.93856e12 | −0.204605 | ||||||||
\(429\) | − | 2.43141e13i | − | 1.67329i | ||||||
\(430\) | 1.20270e13 | + | 1.18556e13i | 0.818114 | + | 0.806455i | ||||
\(431\) | −5.63058e12 | −0.378588 | −0.189294 | − | 0.981920i | \(-0.560620\pi\) | ||||
−0.189294 | + | 0.981920i | \(0.560620\pi\) | |||||||
\(432\) | 8.65124e11i | 0.0574989i | ||||||||
\(433\) | −2.18593e13 | + | 1.26205e13i | −1.43614 | + | 0.829157i | −0.997579 | − | 0.0695425i | \(-0.977846\pi\) |
−0.438564 | + | 0.898700i | \(0.644513\pi\) | |||||||
\(434\) | 5.54601e12 | 0.360190 | ||||||||
\(435\) | −7.17417e12 | + | 4.14201e12i | −0.460602 | + | 0.265929i | ||||
\(436\) | −1.88186e12 | − | 3.25947e12i | −0.119441 | − | 0.206878i | ||||
\(437\) | −3.88538e12 | − | 2.24323e12i | −0.243796 | − | 0.140756i | ||||
\(438\) | 2.90124e12i | 0.179975i | ||||||||
\(439\) | −1.24804e12 | + | 2.16167e12i | −0.0765430 | + | 0.132576i | −0.901756 | − | 0.432245i | \(-0.857722\pi\) |
0.825213 | + | 0.564821i | \(0.191055\pi\) | |||||||
\(440\) | −2.90413e13 | − | 5.03010e13i | −1.76097 | − | 3.05009i | ||||
\(441\) | 1.09008e12 | 0.0653532 | ||||||||
\(442\) | 1.40196e12 | − | 8.09420e11i | 0.0831043 | − | 0.0479803i | ||||
\(443\) | 4.78878e12 | − | 8.29441e12i | 0.280677 | − | 0.486146i | −0.690875 | − | 0.722974i | \(-0.742775\pi\) |
0.971552 | + | 0.236828i | \(0.0761079\pi\) | |||||||
\(444\) | −4.80809e12 | + | 8.32786e12i | −0.278649 | + | 0.482635i | ||||
\(445\) | 1.33983e13 | − | 2.32066e13i | 0.767805 | − | 1.32988i | ||||
\(446\) | 1.33028e13 | 0.753824 | ||||||||
\(447\) | 1.11703e12 | − | 1.93475e12i | 0.0625932 | − | 0.108415i | ||||
\(448\) | 4.78887e12 | + | 2.76485e12i | 0.265364 | + | 0.153208i | ||||
\(449\) | −1.72326e12 | + | 9.94923e11i | −0.0944318 | + | 0.0545202i | −0.546472 | − | 0.837477i | \(-0.684030\pi\) |
0.452040 | + | 0.891997i | \(0.350696\pi\) | |||||||
\(450\) | 1.87273e12 | − | 1.08122e12i | 0.101488 | − | 0.0585939i | ||||
\(451\) | 4.98392e13 | 2.67109 | ||||||||
\(452\) | − | 1.52085e13i | − | 0.806111i | ||||||
\(453\) | −4.33217e12 | − | 7.50353e12i | −0.227098 | − | 0.393346i | ||||
\(454\) | −2.51073e12 | − | 4.34872e12i | −0.130173 | − | 0.225466i | ||||
\(455\) | 7.16466e12 | − | 1.24095e13i | 0.367399 | − | 0.636354i | ||||
\(456\) | −5.71819e12 | − | 3.30140e12i | −0.290025 | − | 0.167446i | ||||
\(457\) | − | 1.80401e13i | − | 0.905020i | −0.891759 | − | 0.452510i | \(-0.850529\pi\) | ||
0.891759 | − | 0.452510i | \(-0.149471\pi\) | |||||||
\(458\) | 6.11021e12 | + | 3.52773e12i | 0.303200 | + | 0.175052i | ||||
\(459\) | −3.03187e12 | − | 1.75045e12i | −0.148815 | − | 0.0859186i | ||||
\(460\) | 1.55884e13 | + | 8.99999e12i | 0.756856 | + | 0.436971i | ||||
\(461\) | 1.55121e13 | + | 2.68678e13i | 0.745018 | + | 1.29041i | 0.950186 | + | 0.311683i | \(0.100893\pi\) |
−0.205168 | + | 0.978727i | \(0.565774\pi\) | |||||||
\(462\) | − | 1.11377e13i | − | 0.529156i | ||||||
\(463\) | −2.18863e13 | + | 1.26360e13i | −1.02865 | + | 0.593890i | −0.916597 | − | 0.399812i | \(-0.869075\pi\) |
−0.112051 | + | 0.993702i | \(0.535742\pi\) | |||||||
\(464\) | −3.18486e11 | − | 1.83878e11i | −0.0148082 | − | 0.00854949i | ||||
\(465\) | 4.70811e13 | 2.16562 | ||||||||
\(466\) | −8.54605e12 | + | 1.48022e13i | −0.388898 | + | 0.673591i | ||||
\(467\) | −1.18011e13 | + | 6.81335e12i | −0.531296 | + | 0.306744i | −0.741544 | − | 0.670904i | \(-0.765906\pi\) |
0.210248 | + | 0.977648i | \(0.432573\pi\) | |||||||
\(468\) | −4.94785e11 | − | 8.56992e11i | −0.0220388 | − | 0.0381722i | ||||
\(469\) | 1.27664e13i | 0.562608i | ||||||||
\(470\) | −9.75763e12 | − | 1.69007e13i | −0.425456 | − | 0.736912i | ||||
\(471\) | −3.95165e12 | −0.170480 | ||||||||
\(472\) | − | 2.55571e13i | − | 1.09094i | ||||||
\(473\) | −4.39288e13 | + | 1.21092e13i | −1.85542 | + | 0.511459i | ||||
\(474\) | −2.28364e13 | −0.954413 | ||||||||
\(475\) | 1.86444e13i | 0.771048i | ||||||||
\(476\) | −9.35483e11 | + | 5.40101e11i | −0.0382826 | + | 0.0221024i | ||||
\(477\) | 5.87852e11 | 0.0238054 | ||||||||
\(478\) | 1.69863e13 | − | 9.80702e12i | 0.680704 | − | 0.393005i | ||||
\(479\) | −1.33428e13 | − | 2.31104e13i | −0.529139 | − | 0.916496i | −0.999422 | − | 0.0339807i | \(-0.989182\pi\) |
0.470283 | − | 0.882516i | \(-0.344152\pi\) | |||||||
\(480\) | 3.73440e13 | + | 2.15605e13i | 1.46560 | + | 0.846162i | ||||
\(481\) | 2.29163e13i | 0.890059i | ||||||||
\(482\) | 1.10234e13 | − | 1.90930e13i | 0.423720 | − | 0.733905i | ||||
\(483\) | 4.63634e12 | + | 8.03038e12i | 0.176376 | + | 0.305492i | ||||
\(484\) | 4.25873e13 | 1.60344 | ||||||||
\(485\) | −5.28880e13 | + | 3.05349e13i | −1.97083 | + | 1.13786i | ||||
\(486\) | 1.41350e12 | − | 2.44825e12i | 0.0521331 | − | 0.0902972i | ||||
\(487\) | −4.59246e12 | + | 7.95437e12i | −0.167649 | + | 0.290376i | −0.937593 | − | 0.347735i | \(-0.886951\pi\) |
0.769944 | + | 0.638111i | \(0.220284\pi\) | |||||||
\(488\) | 1.23411e13 | − | 2.13754e13i | 0.445918 | − | 0.772352i | ||||
\(489\) | −2.40209e13 | −0.859103 | ||||||||
\(490\) | −1.29431e13 | + | 2.24180e13i | −0.458201 | + | 0.793628i | ||||
\(491\) | 1.27770e13 | + | 7.37678e12i | 0.447734 | + | 0.258499i | 0.706873 | − | 0.707341i | \(-0.250105\pi\) |
−0.259139 | + | 0.965840i | \(0.583439\pi\) | |||||||
\(492\) | −1.96858e13 | + | 1.13656e13i | −0.682854 | + | 0.394246i | ||||
\(493\) | 1.28882e12 | − | 7.44102e11i | 0.0442546 | − | 0.0255504i | ||||
\(494\) | −5.85713e12 | −0.199090 | ||||||||
\(495\) | 8.43715e12i | 0.283903i | ||||||||
\(496\) | 1.04505e12 | + | 1.81007e12i | 0.0348119 | + | 0.0602959i | ||||
\(497\) | 5.81227e12 | + | 1.00671e13i | 0.191674 | + | 0.331990i | ||||
\(498\) | −1.08152e12 | + | 1.87325e12i | −0.0353093 | + | 0.0611574i | ||||
\(499\) | −3.10036e13 | − | 1.78999e13i | −1.00210 | − | 0.578560i | −0.0932281 | − | 0.995645i | \(-0.529719\pi\) |
−0.908868 | + | 0.417084i | \(0.863052\pi\) | |||||||
\(500\) | − | 4.14391e13i | − | 1.32605i | ||||||
\(501\) | −3.32039e13 | − | 1.91703e13i | −1.05196 | − | 0.607350i | ||||
\(502\) | 2.41833e13 | + | 1.39622e13i | 0.758572 | + | 0.437962i | ||||
\(503\) | 2.01221e13 | + | 1.16175e13i | 0.624933 | + | 0.360805i | 0.778787 | − | 0.627288i | \(-0.215835\pi\) |
−0.153854 | + | 0.988094i | \(0.549169\pi\) | |||||||
\(504\) | −6.08887e11 | − | 1.05462e12i | −0.0187234 | − | 0.0324298i | ||||
\(505\) | − | 6.51002e12i | − | 0.198210i | ||||||
\(506\) | 2.88744e13 | − | 1.66706e13i | 0.870482 | − | 0.502573i | ||||
\(507\) | −4.91109e12 | − | 2.83542e12i | −0.146601 | − | 0.0846403i | ||||
\(508\) | −3.57976e13 | −1.05812 | ||||||||
\(509\) | −2.44958e12 | + | 4.24280e12i | −0.0716974 | + | 0.124183i | −0.899645 | − | 0.436621i | \(-0.856175\pi\) |
0.827948 | + | 0.560805i | \(0.189508\pi\) | |||||||
\(510\) | 5.45175e12 | − | 3.14757e12i | 0.158010 | − | 0.0912272i | ||||
\(511\) | −2.30672e12 | − | 3.99536e12i | −0.0662051 | − | 0.114671i | ||||
\(512\) | 3.89765e12i | 0.110778i | ||||||||
\(513\) | 6.33332e12 | + | 1.09696e13i | 0.178256 | + | 0.308749i | ||||
\(514\) | −1.10948e13 | −0.309247 | ||||||||
\(515\) | 1.13779e14i | 3.14071i | ||||||||
\(516\) | 1.45898e13 | − | 1.48007e13i | 0.398842 | − | 0.404609i | ||||
\(517\) | 5.26563e13 | 1.42560 | ||||||||
\(518\) | 1.04973e13i | 0.281469i | ||||||||
\(519\) | −1.23623e13 | + | 7.13738e12i | −0.328294 | + | 0.189541i | ||||
\(520\) | 6.31304e13 | 1.66044 | ||||||||
\(521\) | 4.53273e13 | − | 2.61697e13i | 1.18079 | − | 0.681727i | 0.224590 | − | 0.974453i | \(-0.427896\pi\) |
0.956196 | + | 0.292726i | \(0.0945625\pi\) | |||||||
\(522\) | 3.12255e11 | + | 5.40841e11i | 0.00805668 | + | 0.0139546i | ||||
\(523\) | −1.47439e13 | − | 8.51237e12i | −0.376793 | − | 0.217541i | 0.299629 | − | 0.954056i | \(-0.403137\pi\) |
−0.676422 | + | 0.736514i | \(0.736470\pi\) | |||||||
\(524\) | − | 2.96261e12i | − | 0.0749925i | ||||||
\(525\) | 1.92673e13 | − | 3.33720e13i | 0.483087 | − | 0.836731i | ||||
\(526\) | 1.16032e12 | + | 2.00974e12i | 0.0288171 | + | 0.0499126i | ||||
\(527\) | −8.45800e12 | −0.208072 | ||||||||
\(528\) | 3.63504e12 | − | 2.09869e12i | 0.0885809 | − | 0.0511422i | ||||
\(529\) | 6.83409e12 | − | 1.18370e13i | 0.164969 | − | 0.285735i | ||||
\(530\) | −6.97984e12 | + | 1.20894e13i | −0.166904 | + | 0.289086i | ||||
\(531\) | −1.85623e12 | + | 3.21508e12i | −0.0439702 | + | 0.0761587i | ||||
\(532\) | 3.90828e12 | 0.0917123 | ||||||||
\(533\) | −2.70853e13 | + | 4.69132e13i | −0.629649 | + | 1.09058i | ||||
\(534\) | 1.96053e13 | + | 1.13191e13i | 0.451510 | + | 0.260679i | ||||
\(535\) | −2.35835e13 | + | 1.36159e13i | −0.538070 | + | 0.310655i | ||||
\(536\) | −4.87096e13 | + | 2.81225e13i | −1.10101 | + | 0.635667i | ||||
\(537\) | −5.43678e13 | −1.21750 | ||||||||
\(538\) | 4.94375e13i | 1.09685i | ||||||||
\(539\) | −3.49231e13 | − | 6.04886e13i | −0.767660 | − | 1.32963i | ||||
\(540\) | −2.54097e13 | − | 4.40110e13i | −0.553390 | − | 0.958500i | ||||
\(541\) | 2.60620e13 | − | 4.51408e13i | 0.562370 | − | 0.974053i | −0.434919 | − | 0.900469i | \(-0.643223\pi\) |
0.997289 | − | 0.0735834i | \(-0.0234435\pi\) | |||||||
\(542\) | 4.64983e13 | + | 2.68458e13i | 0.994125 | + | 0.573958i | ||||
\(543\) | 3.84942e13i | 0.815447i | ||||||||
\(544\) | −6.70875e12 | − | 3.87330e12i | −0.140814 | − | 0.0812992i | ||||
\(545\) | −3.02058e13 | − | 1.74393e13i | −0.628214 | − | 0.362699i | ||||
\(546\) | 1.04838e13 | + | 6.05281e12i | 0.216050 | + | 0.124737i | ||||
\(547\) | 4.42892e12 | + | 7.67112e12i | 0.0904402 | + | 0.156647i | 0.907696 | − | 0.419627i | \(-0.137839\pi\) |
−0.817256 | + | 0.576274i | \(0.804506\pi\) | |||||||
\(548\) | 3.96946e13i | 0.803208i | ||||||||
\(549\) | −3.10502e12 | + | 1.79269e12i | −0.0622592 | + | 0.0359453i | ||||
\(550\) | −1.19994e14 | − | 6.92784e13i | −2.38421 | − | 1.37653i | ||||
\(551\) | −5.38447e12 | −0.106019 | ||||||||
\(552\) | −2.04263e13 | + | 3.53793e13i | −0.398560 | + | 0.690326i | ||||
\(553\) | 3.14486e13 | − | 1.81569e13i | 0.608101 | − | 0.351087i | ||||
\(554\) | 1.80438e13 | + | 3.12529e13i | 0.345764 | + | 0.598882i | ||||
\(555\) | 8.91139e13i | 1.69231i | ||||||||
\(556\) | 1.71198e13 | + | 2.96524e13i | 0.322200 | + | 0.558067i | ||||
\(557\) | −6.19587e13 | −1.15565 | −0.577825 | − | 0.816161i | \(-0.696098\pi\) | ||||
−0.577825 | + | 0.816161i | \(0.696098\pi\) | |||||||
\(558\) | − | 3.54931e12i | − | 0.0656105i | ||||||
\(559\) | 1.24750e13 | − | 4.79305e13i | 0.228549 | − | 0.878119i | ||||
\(560\) | 2.47369e12 | 0.0449165 | ||||||||
\(561\) | 1.69856e13i | 0.305680i | ||||||||
\(562\) | 9.13219e12 | − | 5.27247e12i | 0.162890 | − | 0.0940443i | ||||
\(563\) | −1.51715e13 | −0.268218 | −0.134109 | − | 0.990967i | \(-0.542817\pi\) | ||||
−0.134109 | + | 0.990967i | \(0.542817\pi\) | |||||||
\(564\) | −2.07985e13 | + | 1.20080e13i | −0.364449 | + | 0.210415i | ||||
\(565\) | −7.04693e13 | − | 1.22056e14i | −1.22393 | − | 2.11991i | ||||
\(566\) | 2.13547e13 | + | 1.23291e13i | 0.367630 | + | 0.212251i | ||||
\(567\) | − | 2.40204e13i | − | 0.409888i | ||||||
\(568\) | −2.56070e13 | + | 4.43527e13i | −0.433129 | + | 0.750202i | ||||
\(569\) | 3.95492e13 | + | 6.85013e13i | 0.663097 | + | 1.14852i | 0.979798 | + | 0.199992i | \(0.0640915\pi\) |
−0.316701 | + | 0.948525i | \(0.602575\pi\) | |||||||
\(570\) | −2.27764e13 | −0.378540 | ||||||||
\(571\) | −1.69343e12 | + | 9.77704e11i | −0.0278989 | + | 0.0161074i | −0.513885 | − | 0.857859i | \(-0.671794\pi\) |
0.485986 | + | 0.873967i | \(0.338461\pi\) | |||||||
\(572\) | −3.17029e13 | + | 5.49111e13i | −0.517749 | + | 0.896768i | ||||
\(573\) | 2.93851e13 | − | 5.08965e13i | 0.475723 | − | 0.823977i | ||||
\(574\) | −1.24071e13 | + | 2.14897e13i | −0.199118 | + | 0.344882i | ||||
\(575\) | 1.15356e14 | 1.83527 | ||||||||
\(576\) | 1.76944e12 | − | 3.06476e12i | 0.0279077 | − | 0.0483375i | ||||
\(577\) | −8.27116e12 | − | 4.77536e12i | −0.129326 | − | 0.0746667i | 0.433941 | − | 0.900941i | \(-0.357123\pi\) |
−0.563268 | + | 0.826275i | \(0.690456\pi\) | |||||||
\(578\) | 3.46653e13 | − | 2.00140e13i | 0.537348 | − | 0.310238i | ||||
\(579\) | 6.38781e13 | − | 3.68801e13i | 0.981656 | − | 0.566759i | ||||
\(580\) | 2.16029e13 | 0.329134 | ||||||||
\(581\) | − | 3.43960e12i | − | 0.0519550i | ||||||
\(582\) | −2.57963e13 | − | 4.46805e13i | −0.386316 | − | 0.669119i | ||||
\(583\) | −1.88331e13 | − | 3.26198e13i | −0.279627 | − | 0.484327i | ||||
\(584\) | 1.01627e13 | − | 1.76023e13i | 0.149605 | − | 0.259123i | ||||
\(585\) | −7.94181e12 | − | 4.58521e12i | −0.115915 | − | 0.0669237i | ||||
\(586\) | − | 5.30278e13i | − | 0.767388i | ||||||
\(587\) | 9.83652e13 | + | 5.67912e13i | 1.41140 | + | 0.814874i | 0.995521 | − | 0.0945445i | \(-0.0301395\pi\) |
0.415882 | + | 0.909418i | \(0.363473\pi\) | |||||||
\(588\) | 2.75883e13 | + | 1.59281e13i | 0.392499 | + | 0.226609i | ||||
\(589\) | 2.65020e13 | + | 1.53009e13i | 0.373854 | + | 0.215845i | ||||
\(590\) | −4.40797e13 | − | 7.63483e13i | −0.616565 | − | 1.06792i | ||||
\(591\) | 3.77043e13i | 0.522942i | ||||||||
\(592\) | −3.42606e12 | + | 1.97804e12i | −0.0471180 | + | 0.0272036i | ||||
\(593\) | −7.07041e13 | − | 4.08210e13i | −0.964209 | − | 0.556686i | −0.0667431 | − | 0.997770i | \(-0.521261\pi\) |
−0.897466 | + | 0.441084i | \(0.854594\pi\) | |||||||
\(594\) | −9.41326e13 | −1.27294 | ||||||||
\(595\) | −5.00516e12 | + | 8.66919e12i | −0.0671171 | + | 0.116250i | ||||
\(596\) | −5.04541e12 | + | 2.91297e12i | −0.0670911 | + | 0.0387351i | ||||
\(597\) | −1.10885e12 | − | 1.92058e12i | −0.0146218 | − | 0.0253257i | ||||
\(598\) | 3.62389e13i | 0.473881i | ||||||||
\(599\) | −2.58457e13 | − | 4.47661e13i | −0.335161 | − | 0.580517i | 0.648354 | − | 0.761339i | \(-0.275458\pi\) |
−0.983516 | + | 0.180822i | \(0.942124\pi\) | |||||||
\(600\) | 1.69772e14 | 2.18328 | ||||||||
\(601\) | − | 5.62780e13i | − | 0.717739i | −0.933388 | − | 0.358870i | \(-0.883162\pi\) | ||
0.933388 | − | 0.358870i | \(-0.116838\pi\) | |||||||
\(602\) | 5.71445e12 | − | 2.19557e13i | 0.0722756 | − | 0.277693i | ||||
\(603\) | 8.17022e12 | 0.102482 | ||||||||
\(604\) | 2.25947e13i | 0.281074i | ||||||||
\(605\) | 3.41785e14 | − | 1.97330e14i | 4.21674 | − | 2.43454i | ||||
\(606\) | 5.49976e12 | 0.0672947 | ||||||||
\(607\) | 2.60087e13 | − | 1.50161e13i | 0.315628 | − | 0.182228i | −0.333814 | − | 0.942639i | \(-0.608336\pi\) |
0.649442 | + | 0.760411i | \(0.275002\pi\) | |||||||
\(608\) | 1.40140e13 | + | 2.42729e13i | 0.168672 | + | 0.292149i | ||||
\(609\) | 9.63776e12 | + | 5.56436e12i | 0.115051 | + | 0.0664246i | ||||
\(610\) | − | 8.51416e13i | − | 1.00807i | ||||||
\(611\) | −2.86163e13 | + | 4.95649e13i | −0.336052 | + | 0.582060i | ||||
\(612\) | 3.45652e11 | + | 5.98686e11i | 0.00402607 | + | 0.00697336i | ||||
\(613\) | 1.27347e14 | 1.47125 | 0.735626 | − | 0.677388i | \(-0.236888\pi\) | ||||
0.735626 | + | 0.677388i | \(0.236888\pi\) | |||||||
\(614\) | 4.18367e12 | − | 2.41544e12i | 0.0479419 | − | 0.0276793i | ||||
\(615\) | −1.05326e14 | + | 1.82430e14i | −1.19718 | + | 2.07358i | ||||
\(616\) | −3.90139e13 | + | 6.75741e13i | −0.439862 | + | 0.761863i | ||||
\(617\) | 6.47647e11 | − | 1.12176e12i | 0.00724290 | − | 0.0125451i | −0.862381 | − | 0.506259i | \(-0.831028\pi\) |
0.869624 | + | 0.493714i | \(0.164361\pi\) | |||||||
\(618\) | −9.61225e13 | −1.06631 | ||||||||
\(619\) | 4.15477e13 | − | 7.19627e13i | 0.457186 | − | 0.791870i | −0.541625 | − | 0.840621i | \(-0.682191\pi\) |
0.998811 | + | 0.0487503i | \(0.0155239\pi\) | |||||||
\(620\) | −1.06328e14 | − | 6.13886e13i | −1.16062 | − | 0.670084i | ||||
\(621\) | 6.78707e13 | − | 3.91852e13i | 0.734893 | − | 0.424291i | ||||
\(622\) | −8.14943e13 | + | 4.70508e13i | −0.875337 | + | 0.505376i | ||||
\(623\) | −3.59986e13 | −0.383570 | ||||||||
\(624\) | 4.56218e12i | 0.0482224i | ||||||||
\(625\) | −8.51010e13 | − | 1.47399e14i | −0.892348 | − | 1.54559i | ||||
\(626\) | 1.92808e13 | + | 3.33953e13i | 0.200564 | + | 0.347388i | ||||
\(627\) | 3.07278e13 | − | 5.32221e13i | 0.317098 | − | 0.549230i | ||||
\(628\) | 8.92442e12 | + | 5.15252e12i | 0.0913654 | + | 0.0527499i | ||||
\(629\) | − | 1.60091e13i | − | 0.162597i | ||||||
\(630\) | −3.63793e12 | − | 2.10036e12i | −0.0366566 | − | 0.0211637i | ||||
\(631\) | −1.31143e14 | − | 7.57153e13i | −1.31098 | − | 0.756897i | −0.328724 | − | 0.944426i | \(-0.606619\pi\) |
−0.982259 | + | 0.187529i | \(0.939952\pi\) | |||||||
\(632\) | 1.38553e14 | + | 7.99934e13i | 1.37414 | + | 0.793357i | ||||
\(633\) | 5.46012e13 | + | 9.45720e13i | 0.537259 | + | 0.930559i | ||||
\(634\) | 8.66015e12i | 0.0845432i | ||||||||
\(635\) | −2.87294e14 | + | 1.65869e14i | −2.78265 | + | 1.60656i | ||||
\(636\) | 1.48776e13 | + | 8.58960e12i | 0.142971 | + | 0.0825444i | ||||
\(637\) | 7.59164e13 | 0.723833 | ||||||||
\(638\) | 2.00075e13 | − | 3.46539e13i | 0.189273 | − | 0.327830i | ||||
\(639\) | 6.44273e12 | − | 3.71971e12i | 0.0604736 | − | 0.0349145i | ||||
\(640\) | −5.28043e13 | − | 9.14598e13i | −0.491779 | − | 0.851786i | ||||
\(641\) | 4.52084e13i | 0.417762i | 0.977941 | + | 0.208881i | \(0.0669821\pi\) | ||||
−0.977941 | + | 0.208881i | \(0.933018\pi\) | |||||||
\(642\) | −1.15029e13 | − | 1.99237e13i | −0.105471 | − | 0.182681i | ||||
\(643\) | −1.89322e14 | −1.72245 | −0.861223 | − | 0.508227i | \(-0.830301\pi\) | ||||
−0.861223 | + | 0.508227i | \(0.830301\pi\) | |||||||
\(644\) | − | 2.41811e13i | − | 0.218296i | ||||||
\(645\) | 4.85111e13 | − | 1.86386e14i | 0.434552 | − | 1.66961i | ||||
\(646\) | 4.09173e12 | 0.0363701 | ||||||||
\(647\) | 1.96565e14i | 1.73374i | 0.498534 | + | 0.866870i | \(0.333872\pi\) | ||||
−0.498534 | + | 0.866870i | \(0.666128\pi\) | |||||||
\(648\) | 9.16482e13 | − | 5.29131e13i | 0.802138 | − | 0.463115i | ||||
\(649\) | 2.37873e14 | 2.06596 | ||||||||
\(650\) | 1.30422e14 | − | 7.52994e13i | 1.12405 | − | 0.648970i | ||||
\(651\) | −3.16243e13 | − | 5.47749e13i | −0.270468 | − | 0.468464i | ||||
\(652\) | 5.42489e13 | + | 3.13206e13i | 0.460418 | + | 0.265823i | ||||
\(653\) | − | 6.87492e13i | − | 0.579031i | −0.957173 | − | 0.289515i | \(-0.906506\pi\) | ||
0.957173 | − | 0.289515i | \(-0.0934942\pi\) | |||||||
\(654\) | 1.47330e13 | − | 2.55183e13i | 0.123141 | − | 0.213286i | ||||
\(655\) | −1.37274e13 | − | 2.37765e13i | −0.113862 | − | 0.197215i | ||||
\(656\) | −9.35157e12 | −0.0769778 | ||||||||
\(657\) | −2.55694e12 | + | 1.47625e12i | −0.0208878 | + | 0.0120596i | ||||
\(658\) | −1.31084e13 | + | 2.27043e13i | −0.106272 | + | 0.184068i | ||||
\(659\) | −6.08809e13 | + | 1.05449e14i | −0.489840 | + | 0.848427i | −0.999932 | − | 0.0116926i | \(-0.996278\pi\) |
0.510092 | + | 0.860120i | \(0.329611\pi\) | |||||||
\(660\) | −1.23282e14 | + | 2.13531e14i | −0.984421 | + | 1.70507i | ||||
\(661\) | −6.68969e13 | −0.530150 | −0.265075 | − | 0.964228i | \(-0.585397\pi\) | ||||
−0.265075 | + | 0.964228i | \(0.585397\pi\) | |||||||
\(662\) | −7.07005e13 | + | 1.22457e14i | −0.556074 | + | 0.963148i | ||||
\(663\) | −1.59884e13 | − | 9.23090e12i | −0.124807 | − | 0.0720571i | ||||
\(664\) | 1.31236e13 | − | 7.57690e12i | 0.101674 | − | 0.0587017i | ||||
\(665\) | 3.13660e13 | − | 1.81092e13i | 0.241185 | − | 0.139248i | ||||
\(666\) | 6.71805e12 | 0.0512710 | ||||||||
\(667\) | 3.33145e13i | 0.252351i | ||||||||
\(668\) | 4.99918e13 | + | 8.65883e13i | 0.375852 | + | 0.650994i | ||||
\(669\) | −7.58550e13 | − | 1.31385e14i | −0.566049 | − | 0.980425i | ||||
\(670\) | −9.70088e13 | + | 1.68024e14i | −0.718517 | + | 1.24451i | ||||
\(671\) | 1.98952e14 | + | 1.14865e14i | 1.46263 | + | 0.844452i | ||||
\(672\) | − | 5.79287e13i | − | 0.422715i | ||||||
\(673\) | −1.26888e14 | − | 7.32589e13i | −0.919063 | − | 0.530621i | −0.0357272 | − | 0.999362i | \(-0.511375\pi\) |
−0.883336 | + | 0.468740i | \(0.844708\pi\) | |||||||
\(674\) | −1.05996e14 | − | 6.11971e13i | −0.762065 | − | 0.439978i | ||||
\(675\) | −2.82052e14 | − | 1.62843e14i | −2.01284 | − | 1.16212i | ||||
\(676\) | 7.39414e12 | + | 1.28070e13i | 0.0523787 | + | 0.0907225i | ||||
\(677\) | − | 8.83561e13i | − | 0.621289i | −0.950526 | − | 0.310644i | \(-0.899455\pi\) | ||
0.950526 | − | 0.310644i | \(-0.100545\pi\) | |||||||
\(678\) | 1.03115e14 | − | 5.95335e13i | 0.719737 | − | 0.415540i | ||||
\(679\) | 7.10495e13 | + | 4.10204e13i | 0.492280 | + | 0.284218i | ||||
\(680\) | −4.41023e13 | −0.303331 | ||||||||
\(681\) | −2.86333e13 | + | 4.95943e13i | −0.195495 | + | 0.338607i | ||||
\(682\) | −1.96951e14 | + | 1.13710e14i | −1.33486 | + | 0.770682i | ||||
\(683\) | −8.68203e13 | − | 1.50377e14i | −0.584141 | − | 1.01176i | −0.994982 | − | 0.100055i | \(-0.968098\pi\) |
0.410841 | − | 0.911707i | \(-0.365235\pi\) | |||||||
\(684\) | − | 2.50121e12i | − | 0.0167059i | ||||||
\(685\) | 1.83926e14 | + | 3.18570e14i | 1.21953 | + | 2.11228i | ||||
\(686\) | 7.83685e13 | 0.515847 | ||||||||
\(687\) | − | 8.04629e13i | − | 0.525789i | ||||||
\(688\) | 8.24256e12 | − | 2.27211e12i | 0.0534712 | − | 0.0147397i | ||||
\(689\) | 4.09397e13 | 0.263662 | ||||||||
\(690\) | 1.40921e14i | 0.901013i | ||||||||
\(691\) | 3.35052e13 | − | 1.93442e13i | 0.212678 | − | 0.122790i | −0.389878 | − | 0.920867i | \(-0.627483\pi\) |
0.602555 | + | 0.798077i | \(0.294149\pi\) | |||||||
\(692\) | 3.72254e13 | 0.234590 | ||||||||
\(693\) | 9.81591e12 | − | 5.66722e12i | 0.0614136 | − | 0.0354571i | ||||
\(694\) | −4.69709e13 | − | 8.13559e13i | −0.291764 | − | 0.505350i | ||||
\(695\) | 2.74791e14 | + | 1.58651e14i | 1.69465 | + | 0.978404i | ||||
\(696\) | 4.90296e13i | 0.300201i | ||||||||
\(697\) | 1.89216e13 | − | 3.27731e13i | 0.115025 | − | 0.199229i | ||||
\(698\) | −6.47681e13 | − | 1.12182e14i | −0.390917 | − | 0.677087i | ||||
\(699\) | 1.94924e14 | 1.16810 | ||||||||
\(700\) | −8.70268e13 | + | 5.02450e13i | −0.517801 | + | 0.298953i | ||||
\(701\) | −3.15498e13 | + | 5.46459e13i | −0.186383 | + | 0.322825i | −0.944042 | − | 0.329826i | \(-0.893010\pi\) |
0.757658 | + | 0.652651i | \(0.226343\pi\) | |||||||
\(702\) | 5.11568e13 | − | 8.86062e13i | 0.300067 | − | 0.519731i | ||||
\(703\) | −2.89613e13 | + | 5.01624e13i | −0.168671 | + | 0.292147i | ||||
\(704\) | −2.26751e14 | −1.31125 | ||||||||
\(705\) | −1.11279e14 | + | 1.92741e14i | −0.638953 | + | 1.10670i | ||||
\(706\) | 7.75018e13 | + | 4.47457e13i | 0.441864 | + | 0.255110i | ||||
\(707\) | −7.57386e12 | + | 4.37277e12i | −0.0428766 | + | 0.0247548i | ||||
\(708\) | −9.39565e13 | + | 5.42458e13i | −0.528154 | + | 0.304930i | ||||
\(709\) | 8.08089e13 | 0.451054 | 0.225527 | − | 0.974237i | \(-0.427590\pi\) | ||||
0.225527 | + | 0.974237i | \(0.427590\pi\) | |||||||
\(710\) | 1.76664e14i | 0.979163i | ||||||||
\(711\) | −1.16200e13 | − | 2.01264e13i | −0.0639524 | − | 0.110769i | ||||
\(712\) | −7.92992e13 | − | 1.37350e14i | −0.433380 | − | 0.750636i | ||||
\(713\) | 9.46692e13 | − | 1.63972e14i | 0.513761 | − | 0.889860i | ||||
\(714\) | −7.32386e12 | − | 4.22843e12i | −0.0394683 | − | 0.0227871i | ||||
\(715\) | 5.87587e14i | 3.14443i | ||||||||
\(716\) | 1.22784e14 | + | 7.08896e13i | 0.652497 | + | 0.376719i | ||||
\(717\) | −1.93717e14 | − | 1.11843e14i | −1.02229 | − | 0.590217i | ||||
\(718\) | −1.18844e13 | − | 6.86144e12i | −0.0622807 | − | 0.0359578i | ||||
\(719\) | 4.78085e11 | + | 8.28067e11i | 0.00248806 | + | 0.00430944i | 0.867267 | − | 0.497844i | \(-0.165875\pi\) |
−0.864779 | + | 0.502153i | \(0.832541\pi\) | |||||||
\(720\) | − | 1.58310e12i | − | 0.00818176i | ||||||
\(721\) | 1.32373e14 | − | 7.64254e13i | 0.679395 | − | 0.392249i | ||||
\(722\) | 9.55822e13 | + | 5.51844e13i | 0.487182 | + | 0.281275i | ||||
\(723\) | −2.51428e14 | −1.27269 | ||||||||
\(724\) | 5.01922e13 | − | 8.69354e13i | 0.252315 | − | 0.437022i | ||||
\(725\) | 1.19898e14 | − | 6.92229e13i | 0.598577 | − | 0.345589i | ||||
\(726\) | 1.66707e14 | + | 2.88745e14i | 0.826554 | + | 1.43163i | ||||
\(727\) | 8.46647e13i | 0.416899i | 0.978033 | + | 0.208449i | \(0.0668416\pi\) | ||||
−0.978033 | + | 0.208449i | \(0.933158\pi\) | |||||||
\(728\) | −4.24046e13 | − | 7.34469e13i | −0.207375 | − | 0.359184i | ||||
\(729\) | −2.19882e14 | −1.06795 | ||||||||
\(730\) | − | 7.01127e13i | − | 0.338207i | ||||||
\(731\) | −8.71489e12 | + | 3.34838e13i | −0.0417518 | + | 0.160416i | ||||
\(732\) | −1.04778e14 | −0.498556 | ||||||||
\(733\) | 2.72995e13i | 0.129013i | 0.997917 | + | 0.0645066i | \(0.0205474\pi\) | ||||
−0.997917 | + | 0.0645066i | \(0.979453\pi\) | |||||||
\(734\) | 9.77629e13 | − | 5.64435e13i | 0.458874 | − | 0.264931i | ||||
\(735\) | 2.95214e14 | 1.37626 | ||||||||
\(736\) | 1.50180e14 | − | 8.67065e13i | 0.695382 | − | 0.401479i | ||||
\(737\) | −2.61750e14 | − | 4.53365e14i | −1.20379 | − | 2.08502i | ||||
\(738\) | 1.37529e13 | + | 7.94023e12i | 0.0628220 | + | 0.0362703i | ||||
\(739\) | 1.19670e14i | 0.542954i | 0.962445 | + | 0.271477i | \(0.0875121\pi\) | ||||
−0.962445 | + | 0.271477i | \(0.912488\pi\) | |||||||
\(740\) | 1.16195e14 | − | 2.01255e14i | 0.523634 | − | 0.906961i | ||||
\(741\) | 3.33983e13 | + | 5.78476e13i | 0.149497 | + | 0.258937i | ||||
\(742\) | 1.87534e13 | 0.0833796 | ||||||||
\(743\) | 4.11804e13 | − | 2.37755e13i | 0.181864 | − | 0.104999i | −0.406304 | − | 0.913738i | \(-0.633183\pi\) |
0.588168 | + | 0.808739i | \(0.299849\pi\) | |||||||
\(744\) | 1.39327e14 | − | 2.41321e14i | 0.611180 | − | 1.05860i | ||||
\(745\) | −2.69947e13 | + | 4.67562e13i | −0.117624 | + | 0.203731i | ||||
\(746\) | 1.16621e14 | − | 2.01993e14i | 0.504756 | − | 0.874264i | ||||
\(747\) | −2.20126e12 | −0.00946387 | ||||||||
\(748\) | 2.21474e13 | − | 3.83603e13i | 0.0945832 | − | 0.163823i | ||||
\(749\) | 3.16819e13 | + | 1.82916e13i | 0.134401 | + | 0.0775965i | ||||
\(750\) | 2.80960e14 | − | 1.62213e14i | 1.18397 | − | 0.683563i | ||||
\(751\) | 1.52262e14 | − | 8.79088e13i | 0.637372 | − | 0.367987i | −0.146229 | − | 0.989251i | \(-0.546714\pi\) |
0.783602 | + | 0.621264i | \(0.213380\pi\) | |||||||
\(752\) | −9.88015e12 | −0.0410841 | ||||||||
\(753\) | − | 3.18460e14i | − | 1.31547i | ||||||
\(754\) | 2.17463e13 | + | 3.76657e13i | 0.0892336 | + | 0.154557i | ||||
\(755\) | 1.04693e14 | + | 1.81334e14i | 0.426760 | + | 0.739171i | ||||
\(756\) | −3.41354e13 | + | 5.91242e13i | −0.138228 | + | 0.239418i | ||||
\(757\) | −1.08799e14 | − | 6.28151e13i | −0.437668 | − | 0.252688i | 0.264940 | − | 0.964265i | \(-0.414648\pi\) |
−0.702608 | + | 0.711577i | \(0.747981\pi\) | |||||||
\(758\) | 1.20088e14i | 0.479903i | ||||||||
\(759\) | −3.29293e14 | − | 1.90117e14i | −1.30730 | − | 0.754767i | ||||
\(760\) | 1.38189e14 | + | 7.97833e13i | 0.545010 | + | 0.314662i | ||||
\(761\) | 3.15456e14 | + | 1.82129e14i | 1.23599 | + | 0.713601i | 0.968273 | − | 0.249896i | \(-0.0803965\pi\) |
0.267720 | + | 0.963497i | \(0.413730\pi\) | |||||||
\(762\) | −1.40129e14 | − | 2.42710e14i | −0.545447 | − | 0.944743i | ||||
\(763\) | 4.68558e13i | 0.181193i | ||||||||
\(764\) | −1.32727e14 | + | 7.66299e13i | −0.509908 | + | 0.294396i | ||||
\(765\) | 5.54807e12 | + | 3.20318e12i | 0.0211756 | + | 0.0122257i | ||||
\(766\) | −1.95492e14 | −0.741285 | ||||||||
\(767\) | −1.29273e14 | + | 2.23907e14i | −0.487002 | + | 0.843512i | ||||
\(768\) | 2.28315e14 | − | 1.31818e14i | 0.854531 | − | 0.493364i | ||||
\(769\) | −1.73098e14 | − | 2.99815e14i | −0.643666 | − | 1.11486i | −0.984608 | − | 0.174778i | \(-0.944079\pi\) |
0.340942 | − | 0.940084i | \(-0.389254\pi\) | |||||||
\(770\) | 2.69158e14i | 0.994383i | ||||||||
\(771\) | 6.32647e13 | + | 1.09578e14i | 0.232215 | + | 0.402208i | ||||
\(772\) | −1.92350e14 | −0.701465 | ||||||||
\(773\) | 2.22273e14i | 0.805360i | 0.915341 | + | 0.402680i | \(0.131921\pi\) | ||||
−0.915341 | + | 0.402680i | \(0.868079\pi\) | |||||||
\(774\) | −1.40511e13 | − | 3.65711e12i | −0.0505832 | − | 0.0131654i | ||||
\(775\) | −7.86838e14 | −2.81434 | ||||||||
\(776\) | 3.61446e14i | 1.28450i | ||||||||
\(777\) | 1.03676e14 | − | 5.98577e13i | 0.366079 | − | 0.211356i | ||||
\(778\) | −2.24467e14 | −0.787506 | ||||||||
\(779\) | −1.18576e14 | + | 6.84601e13i | −0.413343 | + | 0.238644i | ||||
\(780\) | −1.33997e14 | − | 2.32089e14i | −0.464110 | − | 0.803862i | ||||
\(781\) | −4.12813e14 | − | 2.38338e14i | −1.42069 | − | 0.820234i | ||||
\(782\) | − | 2.53161e13i | − | 0.0865693i | ||||||
\(783\) | 4.70286e13 | − | 8.14559e13i | 0.159791 | − | 0.276767i | ||||
\(784\) | 6.55279e12 | + | 1.13498e13i | 0.0221231 | + | 0.0383183i | ||||
\(785\) | 9.54976e13 | 0.320364 | ||||||||
\(786\) | 2.00867e13 | − | 1.15971e13i | 0.0669570 | − | 0.0386577i | ||||
\(787\) | 1.85595e14 | − | 3.21459e14i | 0.614740 | − | 1.06476i | −0.375690 | − | 0.926745i | \(-0.622594\pi\) |
0.990430 | − | 0.138016i | \(-0.0440724\pi\) | |||||||
\(788\) | 4.91623e13 | − | 8.51516e13i | 0.161808 | − | 0.280260i | ||||
\(789\) | 1.32327e13 | − | 2.29197e13i | 0.0432776 | − | 0.0749591i | ||||
\(790\) | 5.51876e14 | 1.79352 | ||||||||
\(791\) | −9.46682e13 | + | 1.63970e14i | −0.305718 | + | 0.529520i | ||||
\(792\) | 4.32458e13 | + | 2.49680e13i | 0.138777 | + | 0.0801231i | ||||
\(793\) | −2.16243e14 | + | 1.24848e14i | −0.689565 | + | 0.398121i | ||||
\(794\) | −1.42137e14 | + | 8.20631e13i | −0.450408 | + | 0.260043i | ||||
\(795\) | 1.59201e14 | 0.501314 | ||||||||
\(796\) | 5.78327e12i | 0.0180971i | ||||||||
\(797\) | 1.83211e14 | + | 3.17330e14i | 0.569717 | + | 0.986778i | 0.996594 | + | 0.0824687i | \(0.0262804\pi\) |
−0.426877 | + | 0.904310i | \(0.640386\pi\) | |||||||
\(798\) | 1.52989e13 | + | 2.64985e13i | 0.0472765 | + | 0.0818853i | ||||
\(799\) | 1.99911e13 | − | 3.46255e13i | 0.0613906 | − | 0.106332i | ||||
\(800\) | −6.24107e14 | − | 3.60328e14i | −1.90462 | − | 1.09963i | ||||
\(801\) | 2.30382e13i | 0.0698693i | ||||||||
\(802\) | 8.34197e13 | + | 4.81624e13i | 0.251418 | + | 0.145156i | ||||
\(803\) | 1.63834e14 | + | 9.45894e13i | 0.490711 | + | 0.283312i | ||||
\(804\) | 2.06776e14 | + | 1.19382e14i | 0.615487 | + | 0.355352i | ||||
\(805\) | −1.12044e14 | − | 1.94066e14i | −0.331443 | − | 0.574077i | ||||
\(806\) | − | 2.47184e14i | − | 0.726683i | ||||||
\(807\) | 4.88267e14 | − | 2.81901e14i | 1.42656 | − | 0.823625i | ||||
\(808\) | −3.33680e13 | − | 1.92650e13i | −0.0968888 | − | 0.0559388i | ||||
\(809\) | 9.90944e13 | 0.285961 | 0.142980 | − | 0.989726i | \(-0.454331\pi\) | ||||
0.142980 | + | 0.989726i | \(0.454331\pi\) | |||||||
\(810\) | 1.82524e14 | − | 3.16142e14i | 0.523475 | − | 0.906685i | ||||
\(811\) | −2.99387e14 | + | 1.72851e14i | −0.853354 | + | 0.492684i | −0.861781 | − | 0.507280i | \(-0.830651\pi\) |
0.00842720 | + | 0.999964i | \(0.497318\pi\) | |||||||
\(812\) | −1.45106e13 | − | 2.51331e13i | −0.0411061 | − | 0.0711978i | ||||
\(813\) | − | 6.12318e14i | − | 1.72395i | ||||||
\(814\) | −2.15227e14 | − | 3.72784e14i | −0.602246 | − | 1.04312i | ||||
\(815\) | 5.80501e14 | 1.61441 | ||||||||
\(816\) | − | 3.18709e12i | − | 0.00880935i | ||||||
\(817\) | 8.78808e13 | − | 8.91514e13i | 0.241426 | − | 0.244916i | ||||
\(818\) | 4.25981e14 | 1.16312 | ||||||||
\(819\) | 1.23195e13i | 0.0334329i | ||||||||
\(820\) | 4.75737e14 | − | 2.74667e14i | 1.28321 | − | 0.740862i | ||||
\(821\) | −2.93777e14 | −0.787593 | −0.393797 | − | 0.919198i | \(-0.628839\pi\) | ||||
−0.393797 | + | 0.919198i | \(0.628839\pi\) | |||||||
\(822\) | −2.69132e14 | + | 1.55384e14i | −0.717145 | + | 0.414044i | ||||
\(823\) | −9.45974e13 | − | 1.63847e14i | −0.250542 | − | 0.433951i | 0.713133 | − | 0.701028i | \(-0.247275\pi\) |
−0.963675 | + | 0.267078i | \(0.913942\pi\) | |||||||
\(824\) | 5.83192e14 | + | 3.36706e14i | 1.53524 | + | 0.886370i | ||||
\(825\) | 1.58015e15i | 4.13455i | ||||||||
\(826\) | −5.92165e13 | + | 1.02566e14i | −0.154008 | + | 0.266749i | ||||
\(827\) | −3.36440e14 | − | 5.82731e14i | −0.869721 | − | 1.50640i | −0.862282 | − | 0.506429i | \(-0.830965\pi\) |
−0.00743904 | − | 0.999972i | \(-0.502368\pi\) | |||||||
\(828\) | −1.54753e13 | −0.0397638 | ||||||||
\(829\) | 3.31873e14 | − | 1.91607e14i | 0.847617 | − | 0.489372i | −0.0122294 | − | 0.999925i | \(-0.503893\pi\) |
0.859846 | + | 0.510554i | \(0.170559\pi\) | |||||||
\(830\) | 2.61366e13 | − | 4.52699e13i | 0.0663527 | − | 0.114926i | ||||
\(831\) | 2.05778e14 | − | 3.56418e14i | 0.519271 | − | 0.899404i | ||||
\(832\) | 1.23229e14 | − | 2.13439e14i | 0.309098 | − | 0.535373i | ||||
\(833\) | −5.30345e13 | −0.132231 | ||||||||
\(834\) | −1.34031e14 | + | 2.32148e14i | −0.332180 | + | 0.575353i | ||||
\(835\) | 8.02421e14 | + | 4.63278e14i | 1.97683 | + | 1.14132i | ||||
\(836\) | −1.38792e14 | + | 8.01314e13i | −0.339885 | + | 0.196233i | ||||
\(837\) | −4.62943e14 | + | 2.67280e14i | −1.12694 | + | 0.650639i | ||||
\(838\) | −3.46266e13 | −0.0837895 | ||||||||
\(839\) | 1.10486e13i | 0.0265765i | 0.999912 | + | 0.0132883i | \(0.00422991\pi\) | ||||
−0.999912 | + | 0.0132883i | \(0.995770\pi\) | |||||||
\(840\) | −1.64898e14 | − | 2.85611e14i | −0.394292 | − | 0.682934i | ||||
\(841\) | −1.90362e14 | − | 3.29717e14i | −0.452481 | − | 0.783721i | ||||
\(842\) | 1.63512e14 | − | 2.83211e14i | 0.386357 | − | 0.669190i | ||||
\(843\) | −1.04147e14 | − | 6.01291e13i | −0.244629 | − | 0.141236i | ||||
\(844\) | − | 2.84776e14i | − | 0.664952i | ||||||
\(845\) | 1.18684e14 | + | 6.85221e13i | 0.275491 | + | 0.159055i | ||||
\(846\) | 1.45302e13 | + | 8.38904e12i | 0.0335290 | + | 0.0193580i | ||||
\(847\) | −4.59153e14 | − | 2.65092e14i | −1.05327 | − | 0.608107i | ||||
\(848\) | 3.53374e12 | + | 6.12062e12i | 0.00805852 | + | 0.0139578i | ||||
\(849\) | − | 2.81211e14i | − | 0.637520i | ||||||
\(850\) | −9.11118e13 | + | 5.26034e13i | −0.205343 | + | 0.118555i | ||||
\(851\) | 3.10362e14 | + | 1.79188e14i | 0.695377 | + | 0.401476i | ||||
\(852\) | 2.17407e14 | 0.484258 | ||||||||
\(853\) | −2.14967e14 | + | 3.72333e14i | −0.476021 | + | 0.824493i | −0.999623 | − | 0.0274704i | \(-0.991255\pi\) |
0.523601 | + | 0.851963i | \(0.324588\pi\) | |||||||
\(854\) | −9.90550e13 | + | 5.71894e13i | −0.218066 | + | 0.125900i | ||||
\(855\) | −1.15894e13 | − | 2.00735e13i | −0.0253648 | − | 0.0439331i | ||||
\(856\) | 1.61174e14i | 0.350692i | ||||||||
\(857\) | 2.29731e14 | + | 3.97906e14i | 0.496954 | + | 0.860749i | 0.999994 | − | 0.00351406i | \(-0.00111856\pi\) |
−0.503040 | + | 0.864263i | \(0.667785\pi\) | |||||||
\(858\) | −4.96402e14 | −1.06757 | ||||||||
\(859\) | − | 3.36800e13i | − | 0.0720123i | −0.999352 | − | 0.0360061i | \(-0.988536\pi\) | ||
0.999352 | − | 0.0360061i | \(-0.0114636\pi\) | |||||||
\(860\) | −3.52585e14 | + | 3.57682e14i | −0.749499 | + | 0.760335i | ||||
\(861\) | 2.82989e14 | 0.598073 | ||||||||
\(862\) | 1.14955e14i | 0.241542i | ||||||||
\(863\) | −2.55503e13 | + | 1.47515e13i | −0.0533756 | + | 0.0308164i | −0.526450 | − | 0.850206i | \(-0.676477\pi\) |
0.473075 | + | 0.881022i | \(0.343144\pi\) | |||||||
\(864\) | −4.89599e14 | −1.01688 | ||||||||
\(865\) | 2.98754e14 | − | 1.72485e14i | 0.616925 | − | 0.356182i | ||||
\(866\) | 2.57663e14 | + | 4.46285e14i | 0.529008 | + | 0.916269i | ||||
\(867\) | −3.95335e14 | − | 2.28247e14i | −0.806993 | − | 0.465918i | ||||
\(868\) | 1.64938e14i | 0.334752i | ||||||||
\(869\) | −7.44539e14 | + | 1.28958e15i | −1.50241 | + | 2.60225i | ||||
\(870\) | 8.45642e13 | + | 1.46469e14i | 0.169664 | + | 0.293867i | ||||
\(871\) | 5.68997e14 | 1.13506 | ||||||||
\(872\) | −1.78775e14 | + | 1.03216e14i | −0.354589 | + | 0.204722i | ||||
\(873\) | 2.62521e13 | − | 4.54700e13i | 0.0517717 | − | 0.0896713i | ||||
\(874\) | −4.57982e13 | + | 7.93247e13i | −0.0898030 | + | 0.155543i | ||||
\(875\) | −2.57945e14 | + | 4.46774e14i | −0.502906 | + | 0.871059i | ||||
\(876\) | −8.62828e13 | −0.167264 | ||||||||
\(877\) | −7.88651e13 | + | 1.36598e14i | −0.152015 | + | 0.263298i | −0.931968 | − | 0.362540i | \(-0.881910\pi\) |
0.779953 | + | 0.625838i | \(0.215243\pi\) | |||||||
\(878\) | 4.41330e13 | + | 2.54802e13i | 0.0845845 | + | 0.0488349i | ||||
\(879\) | −5.23726e14 | + | 3.02373e14i | −0.998067 | + | 0.576234i | ||||
\(880\) | −8.78462e13 | + | 5.07180e13i | −0.166460 | + | 0.0961057i | ||||
\(881\) | −1.95173e14 | −0.367739 | −0.183869 | − | 0.982951i | \(-0.558862\pi\) | ||||
−0.183869 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(882\) | − | 2.22554e13i | − | 0.0416957i | ||||||
\(883\) | 2.64247e14 | + | 4.57689e14i | 0.492273 | + | 0.852642i | 0.999960 | − | 0.00889909i | \(-0.00283271\pi\) |
−0.507687 | + | 0.861542i | \(0.669499\pi\) | |||||||
\(884\) | 2.40722e13 | + | 4.16942e13i | 0.0445917 | + | 0.0772350i | ||||
\(885\) | −5.02700e14 | + | 8.70702e14i | −0.925961 | + | 1.60381i | ||||
\(886\) | −1.69340e14 | − | 9.77687e13i | −0.310164 | − | 0.179073i | ||||
\(887\) | − | 6.58110e14i | − | 1.19862i | −0.800518 | − | 0.599308i | \(-0.795442\pi\) | ||
0.800518 | − | 0.599308i | \(-0.204558\pi\) | |||||||
\(888\) | 4.56766e14 | + | 2.63714e14i | 0.827235 | + | 0.477604i | ||||
\(889\) | 3.85950e14 | + | 2.22828e14i | 0.695060 | + | 0.401293i | ||||
\(890\) | −4.73791e14 | − | 2.73543e14i | −0.848471 | − | 0.489865i | ||||
\(891\) | 4.92489e14 | + | 8.53017e14i | 0.877018 | + | 1.51904i | ||||
\(892\) | 3.95626e14i | 0.700585i | ||||||||
\(893\) | −1.25279e14 | + | 7.23296e13i | −0.220607 | + | 0.127368i | ||||
\(894\) | −3.95003e13 | − | 2.28055e13i | −0.0691692 | − | 0.0399349i | ||||
\(895\) | 1.31388e15 | 2.28792 | ||||||||
\(896\) | −7.09371e13 | + | 1.22867e14i | −0.122838 | + | 0.212762i | ||||
\(897\) | 3.57912e14 | − | 2.06640e14i | 0.616331 | − | 0.355839i | ||||
\(898\) | 2.03126e13 | + | 3.51824e13i | 0.0347843 | + | 0.0602481i | ||||
\(899\) | − | 2.27237e14i | − | 0.386973i | ||||||
\(900\) | 3.21556e13 | + | 5.56951e13i | 0.0544557 | + | 0.0943201i | ||||
\(901\) | −2.86001e13 | −0.0481663 | ||||||||
\(902\) | − | 1.01753e15i | − | 1.70417i | ||||||
\(903\) | −2.49429e14 | + | 6.87568e13i | −0.415440 | + | 0.114519i | ||||
\(904\) | −8.34156e14 | −1.38167 | ||||||||
\(905\) | − | 9.30269e14i | − | 1.53238i | ||||||
\(906\) | −1.53194e14 | + | 8.84464e13i | −0.250957 | + | 0.144890i | ||||
\(907\) | −7.07765e14 | −1.15306 | −0.576531 | − | 0.817076i | \(-0.695594\pi\) | ||||
−0.576531 | + | 0.817076i | \(0.695594\pi\) | |||||||
\(908\) | 1.29331e14 | − | 7.46692e13i | 0.209543 | − | 0.120980i | ||||
\(909\) | 2.79847e12 | + | 4.84709e12i | 0.00450921 | + | 0.00781019i | ||||
\(910\) | −2.53356e14 | − | 1.46275e14i | −0.405998 | − | 0.234403i | ||||
\(911\) | − | 8.72188e14i | − | 1.39001i | −0.719004 | − | 0.695006i | \(-0.755402\pi\) | ||
0.719004 | − | 0.695006i | \(-0.244598\pi\) | |||||||
\(912\) | −5.76561e12 | + | 9.98633e12i | −0.00913842 | + | 0.0158282i | ||||
\(913\) | 7.05220e13 | + | 1.22148e14i | 0.111166 | + | 0.192545i | ||||
\(914\) | −3.68311e14 | −0.577408 | ||||||||
\(915\) | −8.40897e14 | + | 4.85492e14i | −1.31110 | + | 0.756966i | ||||
\(916\) | −1.04915e14 | + | 1.81718e14i | −0.162689 | + | 0.281786i | ||||
\(917\) | −1.84413e13 | + | 3.19412e13i | −0.0284410 | + | 0.0492612i | ||||
\(918\) | −3.57376e13 | + | 6.18994e13i | −0.0548166 | + | 0.0949452i | ||||
\(919\) | 4.09282e14 | 0.624375 | 0.312187 | − | 0.950021i | \(-0.398938\pi\) | ||||
0.312187 | + | 0.950021i | \(0.398938\pi\) | |||||||
\(920\) | 4.93631e14 | − | 8.54994e14i | 0.748968 | − | 1.29725i | ||||
\(921\) | −4.77120e13 | − | 2.75465e13i | −0.0719995 | − | 0.0415689i | ||||
\(922\) | 5.48539e14 | − | 3.16699e14i | 0.823290 | − | 0.475327i | ||||
\(923\) | 4.48690e14 | − | 2.59051e14i | 0.669789 | − | 0.386703i | ||||
\(924\) | 3.31234e14 | 0.491785 | ||||||||
\(925\) | − | 1.48931e15i | − | 2.19925i | ||||||
\(926\) | 2.57980e14 | + | 4.46835e14i | 0.378906 | + | 0.656284i | ||||
\(927\) | −4.89104e13 | − | 8.47154e13i | −0.0714501 | − | 0.123755i | ||||
\(928\) | 1.04062e14 | − | 1.80241e14i | 0.151200 | − | 0.261886i | ||||
\(929\) | −4.29264e14 | − | 2.47836e14i | −0.620363 | − | 0.358167i | 0.156647 | − | 0.987655i | \(-0.449931\pi\) |
−0.777010 | + | 0.629488i | \(0.783265\pi\) | |||||||
\(930\) | − | 9.61218e14i | − | 1.38168i | ||||||
\(931\) | 1.66176e14 | + | 9.59420e13i | 0.237586 | + | 0.137170i | ||||
\(932\) | −4.40217e14 | − | 2.54159e14i | −0.626019 | − | 0.361432i | ||||
\(933\) | 9.29389e14 | + | 5.36583e14i | 1.31459 | + | 0.758977i | ||||
\(934\) | 1.39103e14 | + | 2.40933e14i | 0.195705 | + | 0.338970i | ||||
\(935\) | − | 4.10483e14i | − | 0.574429i | ||||||
\(936\) | −4.70043e13 | + | 2.71379e13i | −0.0654272 | + | 0.0377744i | ||||
\(937\) | −5.17410e14 | − | 2.98727e14i | −0.716369 | − | 0.413596i | 0.0970460 | − | 0.995280i | \(-0.469061\pi\) |
−0.813415 | + | 0.581684i | \(0.802394\pi\) | |||||||
\(938\) | 2.60642e14 | 0.358948 | ||||||||
\(939\) | 2.19885e14 | − | 3.80852e14i | 0.301209 | − | 0.521709i | ||||
\(940\) | 5.02627e14 | − | 2.90192e14i | 0.684868 | − | 0.395409i | ||||
\(941\) | 6.20477e14 | + | 1.07470e15i | 0.840964 | + | 1.45659i | 0.889080 | + | 0.457751i | \(0.151345\pi\) |
−0.0481162 | + | 0.998842i | \(0.515322\pi\) | |||||||
\(942\) | 8.06778e13i | 0.108768i | ||||||||
\(943\) | 4.23573e14 | + | 7.33649e14i | 0.568027 | + | 0.983852i | ||||
\(944\) | −4.46332e13 | −0.0595385 | ||||||||
\(945\) | 6.32670e14i | 0.839495i | ||||||||
\(946\) | 2.47225e14 | + | 8.96859e14i | 0.326314 | + | 1.18377i | ||||
\(947\) | −1.48323e15 | −1.94742 | −0.973708 | − | 0.227800i | \(-0.926847\pi\) | ||||
−0.973708 | + | 0.227800i | \(0.926847\pi\) | |||||||
\(948\) | − | 6.79156e14i | − | 0.887008i | ||||||
\(949\) | −1.78072e14 | + | 1.02810e14i | −0.231348 | + | 0.133569i | ||||
\(950\) | 3.80649e14 | 0.491934 | ||||||||
\(951\) | 8.55315e13 | − | 4.93816e13i | 0.109957 | − | 0.0634838i | ||||
\(952\) | 2.96234e13 | + | 5.13093e13i | 0.0378835 | + | 0.0656162i | ||||
\(953\) | −3.39095e14 | − | 1.95776e14i | −0.431377 | − | 0.249055i | 0.268556 | − | 0.963264i | \(-0.413453\pi\) |
−0.699933 | + | 0.714209i | \(0.746787\pi\) | |||||||
\(954\) | − | 1.20017e13i | − | 0.0151880i | ||||||
\(955\) | −7.10135e14 | + | 1.22999e15i | −0.893972 | + | 1.54841i | ||||
\(956\) | 2.91661e14 | + | 5.05172e14i | 0.365249 | + | 0.632630i | ||||
\(957\) | −4.56344e14 | −0.568503 | ||||||||
\(958\) | −4.71828e14 | + | 2.72410e14i | −0.584731 | + | 0.337594i | ||||
\(959\) | 2.47086e14 | − | 4.27965e14i | 0.304617 | − | 0.527613i | ||||
\(960\) | 4.79197e14 | − | 8.29993e14i | 0.587702 | − | 1.01793i | ||||
\(961\) | −2.35921e14 | + | 4.08627e14i | −0.287839 | + | 0.498551i | ||||
\(962\) | 4.67864e14 | 0.567864 | ||||||||
\(963\) | 1.17062e13 | − | 2.02757e13i | 0.0141346 | − | 0.0244818i | ||||
\(964\) | 5.67827e14 | + | 3.27835e14i | 0.682073 | + | 0.393795i | ||||
\(965\) | −1.54371e15 | + | 8.91262e14i | −1.84471 | + | 1.06505i | ||||
\(966\) | 1.63950e14 | − | 9.46565e13i | 0.194906 | − | 0.112529i | ||||
\(967\) | 1.33114e14 | 0.157432 | 0.0787160 | − | 0.996897i | \(-0.474918\pi\) | ||||
0.0787160 | + | 0.996897i | \(0.474918\pi\) | |||||||
\(968\) | − | 2.33583e15i | − | 2.74830i | ||||||
\(969\) | −2.33318e13 | − | 4.04118e13i | −0.0273104 | − | 0.0473030i | ||||
\(970\) | 6.23407e14 | + | 1.07977e15i | 0.725960 | + | 1.25740i | ||||
\(971\) | 2.67739e14 | − | 4.63738e14i | 0.310181 | − | 0.537250i | −0.668220 | − | 0.743964i | \(-0.732944\pi\) |
0.978401 | + | 0.206714i | \(0.0662769\pi\) | |||||||
\(972\) | 7.28110e13 | + | 4.20374e13i | 0.0839200 | + | 0.0484512i | ||||
\(973\) | − | 4.26262e14i | − | 0.488779i | ||||||
\(974\) | 1.62398e14 | + | 9.37606e13i | 0.185262 | + | 0.106961i | ||||
\(975\) | −1.48738e15 | − | 8.58740e14i | −1.68810 | − | 0.974627i | ||||
\(976\) | −3.73303e13 | − | 2.15527e13i | −0.0421514 | − | 0.0243361i | ||||
\(977\) | −2.99838e14 | − | 5.19334e14i | −0.336832 | − | 0.583411i | 0.647003 | − | 0.762488i | \(-0.276022\pi\) |
−0.983835 | + | 0.179077i | \(0.942689\pi\) | |||||||
\(978\) | 4.90416e14i | 0.548113i | ||||||||
\(979\) | 1.27839e15 | − | 7.38078e14i | 1.42151 | − | 0.820708i | ||||
\(980\) | −6.66713e14 | − | 3.84927e14i | −0.737579 | − | 0.425841i | ||||
\(981\) | 2.99866e13 | 0.0330052 | ||||||||
\(982\) | 1.50606e14 | − | 2.60857e14i | 0.164924 | − | 0.285657i | ||||
\(983\) | 7.07767e14 | − | 4.08629e14i | 0.771121 | − | 0.445207i | −0.0621532 | − | 0.998067i | \(-0.519797\pi\) |
0.833274 | + | 0.552860i | \(0.186463\pi\) | |||||||
\(984\) | 6.23380e14 | + | 1.07973e15i | 0.675737 | + | 1.17041i | ||||
\(985\) | − | 9.11182e14i | − | 0.982706i | ||||||
\(986\) | −1.51917e13 | − | 2.63129e13i | −0.0163013 | − | 0.0282347i | ||||
\(987\) | 2.98984e14 | 0.319200 | ||||||||
\(988\) | − | 1.74191e14i | − | 0.185029i | ||||||
\(989\) | −5.51593e14 | − | 5.43732e14i | −0.582958 | − | 0.574650i | ||||
\(990\) | 1.72255e14 | 0.181132 | ||||||||
\(991\) | 1.11243e15i | 1.16387i | 0.813237 | + | 0.581933i | \(0.197703\pi\) | ||||
−0.813237 | + | 0.581933i | \(0.802297\pi\) | |||||||
\(992\) | −1.02437e15 | + | 5.91422e14i | −1.06635 | + | 0.615657i | ||||
\(993\) | 1.61258e15 | 1.67023 | ||||||||
\(994\) | 2.05533e14 | − | 1.18665e14i | 0.211812 | − | 0.122289i | ||||
\(995\) | 2.67970e13 | + | 4.64138e13i | 0.0274771 | + | 0.0475917i | ||||
\(996\) | −5.57105e13 | − | 3.21645e13i | −0.0568382 | − | 0.0328156i | ||||
\(997\) | − | 1.27166e15i | − | 1.29090i | −0.763801 | − | 0.645452i | \(-0.776669\pi\) | ||
0.763801 | − | 0.645452i | \(-0.223331\pi\) | |||||||
\(998\) | −3.65449e14 | + | 6.32976e14i | −0.369125 | + | 0.639344i | ||||
\(999\) | −5.05902e14 | − | 8.76247e14i | −0.508439 | − | 0.880642i |
(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 | 43.11.d.a.7.14 | ✓ | 72 | |
43.37 | odd | 6 | inner | 43.11.d.a.37.23 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.14 | ✓ | 72 | 1.1 | even | 1 | trivial | |
43.11.d.a.37.23 | yes | 72 | 43.37 | odd | 6 | inner |