Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
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([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.12 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.10.c.a.36.12 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −12.6048 | −0.557060 | −0.278530 | − | 0.960428i | \(-0.589847\pi\) | ||||
−0.278530 | + | 0.960428i | \(0.589847\pi\) | |||||||
\(3\) | 108.034 | − | 187.120i | 0.770042 | − | 1.33375i | −0.167498 | − | 0.985872i | \(-0.553569\pi\) |
0.937540 | − | 0.347879i | \(-0.113098\pi\) | |||||||
\(4\) | −353.118 | −0.689685 | ||||||||
\(5\) | 242.203 | − | 419.508i | 0.173306 | − | 0.300175i | −0.766268 | − | 0.642522i | \(-0.777888\pi\) |
0.939574 | + | 0.342346i | \(0.111222\pi\) | |||||||
\(6\) | −1361.75 | + | 2358.62i | −0.428959 | + | 0.742979i | ||||
\(7\) | −2218.86 | − | 3843.18i | −0.349292 | − | 0.604992i | 0.636832 | − | 0.771003i | \(-0.280245\pi\) |
−0.986124 | + | 0.166011i | \(0.946911\pi\) | |||||||
\(8\) | 10904.7 | 0.941255 | ||||||||
\(9\) | −13501.1 | − | 23384.6i | −0.685928 | − | 1.18806i | ||||
\(10\) | −3052.92 | + | 5287.82i | −0.0965419 | + | 0.167216i | ||||
\(11\) | −46033.7 | −0.948000 | −0.474000 | − | 0.880525i | \(-0.657190\pi\) | ||||
−0.474000 | + | 0.880525i | \(0.657190\pi\) | |||||||
\(12\) | −38148.7 | + | 66075.6i | −0.531086 | + | 0.919868i | ||||
\(13\) | −85447.2 | − | 147999.i | −0.829761 | − | 1.43719i | −0.898226 | − | 0.439534i | \(-0.855143\pi\) |
0.0684648 | − | 0.997654i | \(-0.478190\pi\) | |||||||
\(14\) | 27968.3 | + | 48442.6i | 0.194576 | + | 0.337016i | ||||
\(15\) | −52332.2 | − | 90642.1i | −0.266906 | − | 0.462295i | ||||
\(16\) | 43345.3 | 0.165349 | ||||||||
\(17\) | 229801. | + | 398026.i | 0.667315 | + | 1.15582i | 0.978652 | + | 0.205524i | \(0.0658900\pi\) |
−0.311337 | + | 0.950300i | \(0.600777\pi\) | |||||||
\(18\) | 170179. | + | 294759.i | 0.382103 | + | 0.661822i | ||||
\(19\) | 470311. | − | 814602.i | 0.827930 | − | 1.43402i | −0.0717285 | − | 0.997424i | \(-0.522852\pi\) |
0.899659 | − | 0.436593i | \(-0.143815\pi\) | |||||||
\(20\) | −85526.3 | + | 148136.i | −0.119527 | + | 0.207026i | ||||
\(21\) | −958848. | −1.07588 | ||||||||
\(22\) | 580246. | 0.528093 | ||||||||
\(23\) | −1.06052e6 | + | 1.83688e6i | −0.790214 | + | 1.36869i | 0.135621 | + | 0.990761i | \(0.456697\pi\) |
−0.925834 | + | 0.377929i | \(0.876636\pi\) | |||||||
\(24\) | 1.17807e6 | − | 2.04048e6i | 0.724806 | − | 1.25540i | ||||
\(25\) | 859238. | + | 1.48824e6i | 0.439930 | + | 0.761981i | ||||
\(26\) | 1.07705e6 | + | 1.86550e6i | 0.462226 | + | 0.800599i | ||||
\(27\) | −1.58145e6 | −0.572690 | ||||||||
\(28\) | 783520. | + | 1.35710e6i | 0.240901 | + | 0.417253i | ||||
\(29\) | −2.59539e6 | − | 4.49535e6i | −0.681416 | − | 1.18025i | −0.974549 | − | 0.224175i | \(-0.928031\pi\) |
0.293133 | − | 0.956072i | \(-0.405302\pi\) | |||||||
\(30\) | 659638. | + | 1.14253e6i | 0.148683 | + | 0.257526i | ||||
\(31\) | −3.99146e6 | + | 6.91341e6i | −0.776254 | + | 1.34451i | 0.157833 | + | 0.987466i | \(0.449549\pi\) |
−0.934087 | + | 0.357046i | \(0.883784\pi\) | |||||||
\(32\) | −6.12955e6 | −1.03336 | ||||||||
\(33\) | −4.97319e6 | + | 8.61382e6i | −0.729999 | + | 1.26440i | ||||
\(34\) | −2.89660e6 | − | 5.01705e6i | −0.371734 | − | 0.643863i | ||||
\(35\) | −2.14966e6 | −0.242138 | ||||||||
\(36\) | 4.76750e6 | + | 8.25755e6i | 0.473074 | + | 0.819388i | ||||
\(37\) | −6.10681e6 | + | 1.05773e7i | −0.535681 | + | 0.927827i | 0.463449 | + | 0.886124i | \(0.346612\pi\) |
−0.999130 | + | 0.0417033i | \(0.986722\pi\) | |||||||
\(38\) | −5.92819e6 | + | 1.02679e7i | −0.461207 | + | 0.798833i | ||||
\(39\) | −3.69248e7 | −2.55580 | ||||||||
\(40\) | 2.64114e6 | − | 4.57459e6i | 0.163125 | − | 0.282542i | ||||
\(41\) | 2.75796e6 | 0.152426 | 0.0762132 | − | 0.997092i | \(-0.475717\pi\) | ||||
0.0762132 | + | 0.997092i | \(0.475717\pi\) | |||||||
\(42\) | 1.20861e7 | 0.599328 | ||||||||
\(43\) | 2.20309e7 | + | 4.15126e6i | 0.982706 | + | 0.185171i | ||||
\(44\) | 1.62553e7 | 0.653821 | ||||||||
\(45\) | −1.30800e7 | −0.475503 | ||||||||
\(46\) | 1.33677e7 | − | 2.31535e7i | 0.440196 | − | 0.762442i | ||||
\(47\) | 1.31583e7 | 0.393331 | 0.196666 | − | 0.980471i | \(-0.436989\pi\) | ||||
0.196666 | + | 0.980471i | \(0.436989\pi\) | |||||||
\(48\) | 4.68276e6 | − | 8.11078e6i | 0.127326 | − | 0.220535i | ||||
\(49\) | 1.03301e7 | − | 1.78923e7i | 0.255990 | − | 0.443388i | ||||
\(50\) | −1.08305e7 | − | 1.87590e7i | −0.245067 | − | 0.424469i | ||||
\(51\) | 9.93050e7 | 2.05544 | ||||||||
\(52\) | 3.01730e7 | + | 5.22612e7i | 0.572273 | + | 0.991206i | ||||
\(53\) | −3.41576e7 | + | 5.91627e7i | −0.594629 | + | 1.02993i | 0.398970 | + | 0.916964i | \(0.369368\pi\) |
−0.993599 | + | 0.112964i | \(0.963966\pi\) | |||||||
\(54\) | 1.99339e7 | 0.319022 | ||||||||
\(55\) | −1.11495e7 | + | 1.93115e7i | −0.164294 | + | 0.284566i | ||||
\(56\) | −2.41959e7 | − | 4.19086e7i | −0.328773 | − | 0.569451i | ||||
\(57\) | −1.01619e8 | − | 1.76009e8i | −1.27508 | − | 2.20851i | ||||
\(58\) | 3.27145e7 | + | 5.66631e7i | 0.379589 | + | 0.657468i | ||||
\(59\) | −8.27741e7 | −0.889325 | −0.444662 | − | 0.895698i | \(-0.646676\pi\) | ||||
−0.444662 | + | 0.895698i | \(0.646676\pi\) | |||||||
\(60\) | 1.84795e7 | + | 3.20074e7i | 0.184081 | + | 0.318838i | ||||
\(61\) | −7.34819e7 | − | 1.27274e8i | −0.679510 | − | 1.17695i | −0.975129 | − | 0.221640i | \(-0.928859\pi\) |
0.295618 | − | 0.955306i | \(-0.404474\pi\) | |||||||
\(62\) | 5.03116e7 | − | 8.71423e7i | 0.432420 | − | 0.748973i | ||||
\(63\) | −5.99142e7 | + | 1.03774e8i | −0.479178 | + | 0.829961i | ||||
\(64\) | 5.50691e7 | 0.410296 | ||||||||
\(65\) | −8.27823e7 | −0.575211 | ||||||||
\(66\) | 6.26862e7 | − | 1.08576e8i | 0.406653 | − | 0.704344i | ||||
\(67\) | 6.55347e7 | − | 1.13509e8i | 0.397315 | − | 0.688170i | −0.596079 | − | 0.802926i | \(-0.703275\pi\) |
0.993394 | + | 0.114756i | \(0.0366088\pi\) | |||||||
\(68\) | −8.11469e7 | − | 1.40550e8i | −0.460237 | − | 0.797154i | ||||
\(69\) | 2.29145e8 | + | 3.96890e8i | 1.21699 | + | 2.10790i | ||||
\(70\) | 2.70960e7 | 0.134885 | ||||||||
\(71\) | 7.76902e7 | + | 1.34563e8i | 0.362830 | + | 0.628440i | 0.988425 | − | 0.151707i | \(-0.0484772\pi\) |
−0.625595 | + | 0.780148i | \(0.715144\pi\) | |||||||
\(72\) | −1.47225e8 | − | 2.55002e8i | −0.645633 | − | 1.11827i | ||||
\(73\) | −5.45905e7 | − | 9.45536e7i | −0.224991 | − | 0.389695i | 0.731326 | − | 0.682028i | \(-0.238902\pi\) |
−0.956317 | + | 0.292333i | \(0.905569\pi\) | |||||||
\(74\) | 7.69752e7 | − | 1.33325e8i | 0.298406 | − | 0.516855i | ||||
\(75\) | 3.71307e8 | 1.35506 | ||||||||
\(76\) | −1.66075e8 | + | 2.87651e8i | −0.571011 | + | 0.989020i | ||||
\(77\) | 1.02142e8 | + | 1.76916e8i | 0.331129 | + | 0.573532i | ||||
\(78\) | 4.65430e8 | 1.42373 | ||||||||
\(79\) | −1.92321e8 | − | 3.33110e8i | −0.555527 | − | 0.962202i | −0.997862 | − | 0.0653517i | \(-0.979183\pi\) |
0.442335 | − | 0.896850i | \(-0.354150\pi\) | |||||||
\(80\) | 1.04984e7 | − | 1.81837e7i | 0.0286561 | − | 0.0496338i | ||||
\(81\) | 9.48921e7 | − | 1.64358e8i | 0.244933 | − | 0.424237i | ||||
\(82\) | −3.47635e7 | −0.0849106 | ||||||||
\(83\) | 2.60672e7 | − | 4.51498e7i | 0.0602898 | − | 0.104425i | −0.834305 | − | 0.551303i | \(-0.814131\pi\) |
0.894595 | + | 0.446878i | \(0.147464\pi\) | |||||||
\(84\) | 3.38587e8 | 0.742016 | ||||||||
\(85\) | 2.22634e8 | 0.462600 | ||||||||
\(86\) | −2.77695e8 | − | 5.23259e7i | −0.547426 | − | 0.103151i | ||||
\(87\) | −1.12156e9 | −2.09887 | ||||||||
\(88\) | −5.01981e8 | −0.892310 | ||||||||
\(89\) | 1.04411e8 | − | 1.80846e8i | 0.176398 | − | 0.305530i | −0.764246 | − | 0.644924i | \(-0.776889\pi\) |
0.940644 | + | 0.339395i | \(0.110222\pi\) | |||||||
\(90\) | 1.64872e8 | 0.264883 | ||||||||
\(91\) | −3.79191e8 | + | 6.56778e8i | −0.579658 | + | 1.00400i | ||||
\(92\) | 3.74490e8 | − | 6.48636e8i | 0.544998 | − | 0.943964i | ||||
\(93\) | 8.62425e8 | + | 1.49376e9i | 1.19550 | + | 2.07066i | ||||
\(94\) | −1.65858e8 | −0.219109 | ||||||||
\(95\) | −2.27821e8 | − | 3.94598e8i | −0.286971 | − | 0.497049i | ||||
\(96\) | −6.62199e8 | + | 1.14696e9i | −0.795734 | + | 1.37825i | ||||
\(97\) | 3.56399e8 | 0.408756 | 0.204378 | − | 0.978892i | \(-0.434483\pi\) | ||||
0.204378 | + | 0.978892i | \(0.434483\pi\) | |||||||
\(98\) | −1.30209e8 | + | 2.25529e8i | −0.142602 | + | 0.246994i | ||||
\(99\) | 6.21506e8 | + | 1.07648e9i | 0.650260 | + | 1.12628i | ||||
\(100\) | −3.03413e8 | − | 5.25526e8i | −0.303413 | − | 0.525526i | ||||
\(101\) | −7.48969e6 | − | 1.29725e7i | −0.00716173 | − | 0.0124045i | 0.862422 | − | 0.506189i | \(-0.168946\pi\) |
−0.869584 | + | 0.493785i | \(0.835613\pi\) | |||||||
\(102\) | −1.25172e9 | −1.14500 | ||||||||
\(103\) | −9.92395e8 | − | 1.71888e9i | −0.868795 | − | 1.50480i | −0.863229 | − | 0.504812i | \(-0.831562\pi\) |
−0.00556546 | − | 0.999985i | \(-0.501772\pi\) | |||||||
\(104\) | −9.31773e8 | − | 1.61388e9i | −0.781017 | − | 1.35276i | ||||
\(105\) | −2.32236e8 | + | 4.02244e8i | −0.186456 | + | 0.322952i | ||||
\(106\) | 4.30551e8 | − | 7.45736e8i | 0.331244 | − | 0.573731i | ||||
\(107\) | −7.17046e8 | −0.528835 | −0.264417 | − | 0.964408i | \(-0.585180\pi\) | ||||
−0.264417 | + | 0.964408i | \(0.585180\pi\) | |||||||
\(108\) | 5.58440e8 | 0.394975 | ||||||||
\(109\) | 5.76189e7 | − | 9.97988e7i | 0.0390972 | − | 0.0677183i | −0.845815 | − | 0.533477i | \(-0.820885\pi\) |
0.884912 | + | 0.465759i | \(0.154218\pi\) | |||||||
\(110\) | 1.40537e8 | − | 2.43418e8i | 0.0915218 | − | 0.158520i | ||||
\(111\) | 1.31948e9 | + | 2.28541e9i | 0.824994 | + | 1.42893i | ||||
\(112\) | −9.61772e7 | − | 1.66584e8i | −0.0577552 | − | 0.100035i | ||||
\(113\) | −1.77159e9 | −1.02214 | −0.511069 | − | 0.859540i | \(-0.670750\pi\) | ||||
−0.511069 | + | 0.859540i | \(0.670750\pi\) | |||||||
\(114\) | 1.28089e9 | + | 2.21857e9i | 0.710297 | + | 1.23027i | ||||
\(115\) | 5.13723e8 | + | 8.89795e8i | 0.273898 | + | 0.474405i | ||||
\(116\) | 9.16481e8 | + | 1.58739e9i | 0.469962 | + | 0.813998i | ||||
\(117\) | −2.30727e9 | + | 3.99630e9i | −1.13831 | + | 1.97162i | ||||
\(118\) | 1.04335e9 | 0.495407 | ||||||||
\(119\) | 1.01979e9 | − | 1.76633e9i | 0.466176 | − | 0.807440i | ||||
\(120\) | −5.70665e8 | − | 9.88421e8i | −0.251227 | − | 0.435137i | ||||
\(121\) | −2.38851e8 | −0.101296 | ||||||||
\(122\) | 9.26226e8 | + | 1.60427e9i | 0.378528 | + | 0.655629i | ||||
\(123\) | 2.97953e8 | − | 5.16069e8i | 0.117375 | − | 0.203299i | ||||
\(124\) | 1.40946e9 | − | 2.44125e9i | 0.535371 | − | 0.927289i | ||||
\(125\) | 1.77854e9 | 0.651583 | ||||||||
\(126\) | 7.55208e8 | − | 1.30806e9i | 0.266931 | − | 0.462338i | ||||
\(127\) | −4.48287e9 | −1.52911 | −0.764556 | − | 0.644558i | \(-0.777042\pi\) | ||||
−0.764556 | + | 0.644558i | \(0.777042\pi\) | |||||||
\(128\) | 2.44419e9 | 0.804805 | ||||||||
\(129\) | 3.15686e9 | − | 3.67394e9i | 1.00370 | − | 1.16810i | ||||
\(130\) | 1.04346e9 | 0.320427 | ||||||||
\(131\) | −4.43460e9 | −1.31563 | −0.657814 | − | 0.753180i | \(-0.728519\pi\) | ||||
−0.657814 | + | 0.753180i | \(0.728519\pi\) | |||||||
\(132\) | 1.75613e9 | − | 3.04170e9i | 0.503469 | − | 0.872034i | ||||
\(133\) | −4.17422e9 | −1.15676 | ||||||||
\(134\) | −8.26053e8 | + | 1.43077e9i | −0.221328 | + | 0.383351i | ||||
\(135\) | −3.83033e8 | + | 6.63432e8i | −0.0992507 | + | 0.171907i | ||||
\(136\) | 2.50590e9 | + | 4.34034e9i | 0.628114 | + | 1.08793i | ||||
\(137\) | 3.15914e8 | 0.0766172 | 0.0383086 | − | 0.999266i | \(-0.487803\pi\) | ||||
0.0383086 | + | 0.999266i | \(0.487803\pi\) | |||||||
\(138\) | −2.88833e9 | − | 5.00273e9i | −0.677939 | − | 1.17422i | ||||
\(139\) | 2.41891e9 | − | 4.18967e9i | 0.549607 | − | 0.951948i | −0.448694 | − | 0.893686i | \(-0.648111\pi\) |
0.998301 | − | 0.0582625i | \(-0.0185560\pi\) | |||||||
\(140\) | 7.59084e8 | 0.166999 | ||||||||
\(141\) | 1.42154e9 | − | 2.46218e9i | 0.302882 | − | 0.524606i | ||||
\(142\) | −9.79271e8 | − | 1.69615e9i | −0.202118 | − | 0.350079i | ||||
\(143\) | 3.93345e9 | + | 6.81293e9i | 0.786613 | + | 1.36245i | ||||
\(144\) | −5.85210e8 | − | 1.01361e9i | −0.113418 | − | 0.196445i | ||||
\(145\) | −2.51445e9 | −0.472374 | ||||||||
\(146\) | 6.88104e8 | + | 1.19183e9i | 0.125333 | + | 0.217084i | ||||
\(147\) | −2.23201e9 | − | 3.86595e9i | −0.394246 | − | 0.682854i | ||||
\(148\) | 2.15643e9 | − | 3.73504e9i | 0.369451 | − | 0.639908i | ||||
\(149\) | 7.34987e8 | − | 1.27303e9i | 0.122163 | − | 0.211593i | −0.798457 | − | 0.602052i | \(-0.794350\pi\) |
0.920621 | + | 0.390458i | \(0.127683\pi\) | |||||||
\(150\) | −4.68026e9 | −0.754848 | ||||||||
\(151\) | −1.22204e10 | −1.91288 | −0.956439 | − | 0.291931i | \(-0.905702\pi\) | ||||
−0.956439 | + | 0.291931i | \(0.905702\pi\) | |||||||
\(152\) | 5.12858e9 | − | 8.88297e9i | 0.779294 | − | 1.34978i | ||||
\(153\) | 6.20513e9 | − | 1.07476e10i | 0.915461 | − | 1.58562i | ||||
\(154\) | −1.28748e9 | − | 2.22999e9i | −0.184459 | − | 0.319492i | ||||
\(155\) | 1.93349e9 | + | 3.34890e9i | 0.269059 | + | 0.466025i | ||||
\(156\) | 1.30388e10 | 1.76270 | ||||||||
\(157\) | 7.52606e8 | + | 1.30355e9i | 0.0988597 | + | 0.171230i | 0.911213 | − | 0.411936i | \(-0.135147\pi\) |
−0.812353 | + | 0.583166i | \(0.801814\pi\) | |||||||
\(158\) | 2.42418e9 | + | 4.19880e9i | 0.309462 | + | 0.536004i | ||||
\(159\) | 7.38036e9 | + | 1.27832e10i | 0.915778 | + | 1.58617i | ||||
\(160\) | −1.48459e9 | + | 2.57139e9i | −0.179089 | + | 0.310190i | ||||
\(161\) | 9.41260e9 | 1.10406 | ||||||||
\(162\) | −1.19610e9 | + | 2.07170e9i | −0.136442 | + | 0.236325i | ||||
\(163\) | 1.24041e8 | + | 2.14845e8i | 0.0137632 | + | 0.0238386i | 0.872825 | − | 0.488033i | \(-0.162286\pi\) |
−0.859062 | + | 0.511872i | \(0.828952\pi\) | |||||||
\(164\) | −9.73885e8 | −0.105126 | ||||||||
\(165\) | 2.40904e9 | + | 4.17259e9i | 0.253027 | + | 0.438256i | ||||
\(166\) | −3.28573e8 | + | 5.69105e8i | −0.0335850 | + | 0.0581709i | ||||
\(167\) | 7.63730e9 | − | 1.32282e10i | 0.759829 | − | 1.31606i | −0.183109 | − | 0.983093i | \(-0.558616\pi\) |
0.942938 | − | 0.332969i | \(-0.108051\pi\) | |||||||
\(168\) | −1.04559e10 | −1.01268 | ||||||||
\(169\) | −9.30021e9 | + | 1.61084e10i | −0.877006 | + | 1.51902i | ||||
\(170\) | −2.80626e9 | −0.257696 | ||||||||
\(171\) | −2.53989e10 | −2.27160 | ||||||||
\(172\) | −7.77951e9 | − | 1.46589e9i | −0.677757 | − | 0.127709i | ||||
\(173\) | 1.31535e10 | 1.11644 | 0.558220 | − | 0.829693i | \(-0.311485\pi\) | ||||
0.558220 | + | 0.829693i | \(0.311485\pi\) | |||||||
\(174\) | 1.41371e10 | 1.16920 | ||||||||
\(175\) | 3.81306e9 | − | 6.60441e9i | 0.307328 | − | 0.532308i | ||||
\(176\) | −1.99534e9 | −0.156751 | ||||||||
\(177\) | −8.94241e9 | + | 1.54887e10i | −0.684817 | + | 1.18614i | ||||
\(178\) | −1.31609e9 | + | 2.27953e9i | −0.0982640 | + | 0.170198i | ||||
\(179\) | 4.59692e9 | + | 7.96211e9i | 0.334679 | + | 0.579681i | 0.983423 | − | 0.181325i | \(-0.0580387\pi\) |
−0.648744 | + | 0.761007i | \(0.724705\pi\) | |||||||
\(180\) | 4.61881e9 | 0.327947 | ||||||||
\(181\) | 7.20658e9 | + | 1.24822e10i | 0.499086 | + | 0.864443i | 0.999999 | − | 0.00105494i | \(-0.000335797\pi\) |
−0.500913 | + | 0.865497i | \(0.667002\pi\) | |||||||
\(182\) | 4.77963e9 | − | 8.27857e9i | 0.322904 | − | 0.559286i | ||||
\(183\) | −3.17541e10 | −2.09300 | ||||||||
\(184\) | −1.15646e10 | + | 2.00305e10i | −0.743793 | + | 1.28829i | ||||
\(185\) | 2.95817e9 | + | 5.12370e9i | 0.185674 | + | 0.321596i | ||||
\(186\) | −1.08707e10 | − | 1.88286e10i | −0.665963 | − | 1.15348i | ||||
\(187\) | −1.05786e10 | − | 1.83226e10i | −0.632615 | − | 1.09572i | ||||
\(188\) | −4.64643e9 | −0.271275 | ||||||||
\(189\) | 3.50902e9 | + | 6.07781e9i | 0.200036 | + | 0.346472i | ||||
\(190\) | 2.87165e9 | + | 4.97384e9i | 0.159860 | + | 0.276886i | ||||
\(191\) | −6.94743e9 | + | 1.20333e10i | −0.377724 | + | 0.654236i | −0.990731 | − | 0.135841i | \(-0.956626\pi\) |
0.613007 | + | 0.790077i | \(0.289960\pi\) | |||||||
\(192\) | 5.94932e9 | − | 1.03045e10i | 0.315945 | − | 0.547233i | ||||
\(193\) | 1.64897e10 | 0.855472 | 0.427736 | − | 0.903904i | \(-0.359311\pi\) | ||||
0.427736 | + | 0.903904i | \(0.359311\pi\) | |||||||
\(194\) | −4.49235e9 | −0.227701 | ||||||||
\(195\) | −8.94329e9 | + | 1.54902e10i | −0.442936 | + | 0.767189i | ||||
\(196\) | −3.64776e9 | + | 6.31810e9i | −0.176552 | + | 0.305798i | ||||
\(197\) | −7.41617e9 | − | 1.28452e10i | −0.350818 | − | 0.607634i | 0.635575 | − | 0.772039i | \(-0.280763\pi\) |
−0.986393 | + | 0.164405i | \(0.947430\pi\) | |||||||
\(198\) | −7.83397e9 | − | 1.35688e10i | −0.362234 | − | 0.627407i | ||||
\(199\) | 5.06183e9 | 0.228807 | 0.114403 | − | 0.993434i | \(-0.463504\pi\) | ||||
0.114403 | + | 0.993434i | \(0.463504\pi\) | |||||||
\(200\) | 9.36970e9 | + | 1.62288e10i | 0.414086 | + | 0.717218i | ||||
\(201\) | −1.41599e10 | − | 2.45257e10i | −0.611898 | − | 1.05984i | ||||
\(202\) | 9.44062e7 | + | 1.63516e8i | 0.00398951 | + | 0.00691003i | ||||
\(203\) | −1.15176e10 | + | 1.99491e10i | −0.476026 | + | 0.824501i | ||||
\(204\) | −3.50664e10 | −1.41761 | ||||||||
\(205\) | 6.67985e8 | − | 1.15698e9i | 0.0264164 | − | 0.0457546i | ||||
\(206\) | 1.25090e10 | + | 2.16662e10i | 0.483971 | + | 0.838262i | ||||
\(207\) | 5.72730e10 | 2.16812 | ||||||||
\(208\) | −3.70374e9 | − | 6.41506e9i | −0.137200 | − | 0.237638i | ||||
\(209\) | −2.16501e10 | + | 3.74991e10i | −0.784878 | + | 1.35945i | ||||
\(210\) | 2.92729e9 | − | 5.07021e9i | 0.103867 | − | 0.179903i | ||||
\(211\) | −6.08965e9 | −0.211505 | −0.105753 | − | 0.994392i | \(-0.533725\pi\) | ||||
−0.105753 | + | 0.994392i | \(0.533725\pi\) | |||||||
\(212\) | 1.20617e10 | − | 2.08915e10i | 0.410107 | − | 0.710325i | ||||
\(213\) | 3.35727e10 | 1.11758 | ||||||||
\(214\) | 9.03824e9 | 0.294593 | ||||||||
\(215\) | 7.07743e9 | − | 8.23668e9i | 0.225893 | − | 0.262893i | ||||
\(216\) | −1.72452e10 | −0.539047 | ||||||||
\(217\) | 3.54259e10 | 1.08456 | ||||||||
\(218\) | −7.26275e8 | + | 1.25795e9i | −0.0217795 | + | 0.0377231i | ||||
\(219\) | −2.35905e10 | −0.693009 | ||||||||
\(220\) | 3.93709e9 | − | 6.81924e9i | 0.113311 | − | 0.196261i | ||||
\(221\) | 3.92717e10 | − | 6.80205e10i | 1.10742 | − | 1.91812i | ||||
\(222\) | −1.66319e10 | − | 2.88072e10i | −0.459571 | − | 0.796000i | ||||
\(223\) | −1.62037e10 | −0.438775 | −0.219387 | − | 0.975638i | \(-0.570406\pi\) | ||||
−0.219387 | + | 0.975638i | \(0.570406\pi\) | |||||||
\(224\) | 1.36006e10 | + | 2.35569e10i | 0.360946 | + | 0.625177i | ||||
\(225\) | 2.32014e10 | − | 4.01859e10i | 0.603521 | − | 1.04533i | ||||
\(226\) | 2.23305e10 | 0.569391 | ||||||||
\(227\) | −1.50342e10 | + | 2.60400e10i | −0.375806 | + | 0.650916i | −0.990447 | − | 0.137891i | \(-0.955968\pi\) |
0.614641 | + | 0.788807i | \(0.289301\pi\) | |||||||
\(228\) | 3.58835e10 | + | 6.21521e10i | 0.879404 | + | 1.52317i | ||||
\(229\) | 6.99790e9 | + | 1.21207e10i | 0.168154 | + | 0.291252i | 0.937771 | − | 0.347254i | \(-0.112886\pi\) |
−0.769617 | + | 0.638506i | \(0.779553\pi\) | |||||||
\(230\) | −6.47539e9 | − | 1.12157e10i | −0.152578 | − | 0.264272i | ||||
\(231\) | 4.41393e10 | 1.01993 | ||||||||
\(232\) | −2.83019e10 | − | 4.90203e10i | −0.641386 | − | 1.11091i | ||||
\(233\) | 9.07134e9 | + | 1.57120e10i | 0.201637 | + | 0.349245i | 0.949056 | − | 0.315108i | \(-0.102041\pi\) |
−0.747419 | + | 0.664353i | \(0.768707\pi\) | |||||||
\(234\) | 2.90827e10 | − | 5.03727e10i | 0.634108 | − | 1.09831i | ||||
\(235\) | 3.18697e9 | − | 5.52000e9i | 0.0681668 | − | 0.118068i | ||||
\(236\) | 2.92291e10 | 0.613354 | ||||||||
\(237\) | −8.31088e10 | −1.71112 | ||||||||
\(238\) | −1.28543e10 | + | 2.22643e10i | −0.259688 | + | 0.449792i | ||||
\(239\) | 2.90082e10 | − | 5.02436e10i | 0.575082 | − | 0.996071i | −0.420951 | − | 0.907084i | \(-0.638303\pi\) |
0.996033 | − | 0.0889878i | \(-0.0283632\pi\) | |||||||
\(240\) | −2.26836e9 | − | 3.92891e9i | −0.0441327 | − | 0.0764401i | ||||
\(241\) | 1.39442e10 | + | 2.41521e10i | 0.266268 | + | 0.461189i | 0.967895 | − | 0.251355i | \(-0.0808762\pi\) |
−0.701627 | + | 0.712544i | \(0.747543\pi\) | |||||||
\(242\) | 3.01067e9 | 0.0564279 | ||||||||
\(243\) | −3.60670e10 | − | 6.24699e10i | −0.663562 | − | 1.14932i | ||||
\(244\) | 2.59478e10 | + | 4.49429e10i | 0.468648 | + | 0.811722i | ||||
\(245\) | −5.00397e9 | − | 8.66714e9i | −0.0887294 | − | 0.153684i | ||||
\(246\) | −3.75564e9 | + | 6.50496e9i | −0.0653847 | + | 0.113250i | ||||
\(247\) | −1.60747e11 | −2.74794 | ||||||||
\(248\) | −4.35255e10 | + | 7.53884e10i | −0.730653 | + | 1.26553i | ||||
\(249\) | −5.63229e9 | − | 9.75541e9i | −0.0928513 | − | 0.160823i | ||||
\(250\) | −2.24182e10 | −0.362971 | ||||||||
\(251\) | −1.39244e10 | − | 2.41178e10i | −0.221435 | − | 0.383536i | 0.733809 | − | 0.679356i | \(-0.237741\pi\) |
−0.955244 | + | 0.295820i | \(0.904407\pi\) | |||||||
\(252\) | 2.11568e10 | − | 3.66447e10i | 0.330482 | − | 0.572412i | ||||
\(253\) | 4.88197e10 | − | 8.45582e10i | 0.749123 | − | 1.29752i | ||||
\(254\) | 5.65057e10 | 0.851806 | ||||||||
\(255\) | 2.40520e10 | − | 4.16592e10i | 0.356221 | − | 0.616993i | ||||
\(256\) | −5.90040e10 | −0.858621 | ||||||||
\(257\) | −3.55243e9 | −0.0507957 | −0.0253978 | − | 0.999677i | \(-0.508085\pi\) | ||||
−0.0253978 | + | 0.999677i | \(0.508085\pi\) | |||||||
\(258\) | −3.97917e10 | + | 4.63094e10i | −0.559119 | + | 0.650700i | ||||
\(259\) | 5.42006e10 | 0.748437 | ||||||||
\(260\) | 2.92320e10 | 0.396714 | ||||||||
\(261\) | −7.00814e10 | + | 1.21385e11i | −0.934804 | + | 1.61913i | ||||
\(262\) | 5.58973e10 | 0.732884 | ||||||||
\(263\) | 8.77985e9 | − | 1.52072e10i | 0.113158 | − | 0.195996i | −0.803884 | − | 0.594786i | \(-0.797237\pi\) |
0.917042 | + | 0.398791i | \(0.130570\pi\) | |||||||
\(264\) | −5.42310e10 | + | 9.39308e10i | −0.687116 | + | 1.19012i | ||||
\(265\) | 1.65462e10 | + | 2.86588e10i | 0.206106 | + | 0.356986i | ||||
\(266\) | 5.26152e10 | 0.644383 | ||||||||
\(267\) | −2.25599e10 | − | 3.90749e10i | −0.271667 | − | 0.470541i | ||||
\(268\) | −2.31415e10 | + | 4.00823e10i | −0.274022 | + | 0.474620i | ||||
\(269\) | 1.46327e11 | 1.70388 | 0.851942 | − | 0.523637i | \(-0.175425\pi\) | ||||
0.851942 | + | 0.523637i | \(0.175425\pi\) | |||||||
\(270\) | 4.82806e9 | − | 8.36244e9i | 0.0552886 | − | 0.0957626i | ||||
\(271\) | −4.41350e10 | − | 7.64441e10i | −0.497074 | − | 0.860958i | 0.502920 | − | 0.864333i | \(-0.332259\pi\) |
−0.999994 | + | 0.00337497i | \(0.998926\pi\) | |||||||
\(272\) | 9.96078e9 | + | 1.72526e10i | 0.110340 | + | 0.191115i | ||||
\(273\) | 8.19309e10 | + | 1.41908e11i | 0.892721 | + | 1.54624i | ||||
\(274\) | −3.98204e9 | −0.0426804 | ||||||||
\(275\) | −3.95539e10 | − | 6.85093e10i | −0.417054 | − | 0.722358i | ||||
\(276\) | −8.09152e10 | − | 1.40149e11i | −0.839342 | − | 1.45378i | ||||
\(277\) | 3.43429e10 | − | 5.94837e10i | 0.350492 | − | 0.607070i | −0.635844 | − | 0.771818i | \(-0.719348\pi\) |
0.986336 | + | 0.164748i | \(0.0526810\pi\) | |||||||
\(278\) | −3.04899e10 | + | 5.28100e10i | −0.306164 | + | 0.530292i | ||||
\(279\) | 2.15557e11 | 2.12982 | ||||||||
\(280\) | −2.34413e10 | −0.227914 | ||||||||
\(281\) | −1.70904e10 | + | 2.96014e10i | −0.163521 | + | 0.283226i | −0.936129 | − | 0.351657i | \(-0.885618\pi\) |
0.772608 | + | 0.634883i | \(0.218952\pi\) | |||||||
\(282\) | −1.79182e10 | + | 3.10353e10i | −0.168723 | + | 0.292237i | ||||
\(283\) | −1.01692e10 | − | 1.76136e10i | −0.0942428 | − | 0.163233i | 0.815050 | − | 0.579391i | \(-0.196710\pi\) |
−0.909292 | + | 0.416158i | \(0.863376\pi\) | |||||||
\(284\) | −2.74338e10 | − | 4.75168e10i | −0.250238 | − | 0.433426i | ||||
\(285\) | −9.84497e10 | −0.883919 | ||||||||
\(286\) | −4.95804e10 | − | 8.58758e10i | −0.438191 | − | 0.758968i | ||||
\(287\) | −6.11952e9 | − | 1.05993e10i | −0.0532413 | − | 0.0922166i | ||||
\(288\) | 8.27558e10 | + | 1.43337e11i | 0.708814 | + | 1.22770i | ||||
\(289\) | −4.63227e10 | + | 8.02333e10i | −0.390619 | + | 0.676573i | ||||
\(290\) | 3.16941e10 | 0.263141 | ||||||||
\(291\) | 3.85032e10 | − | 6.66895e10i | 0.314759 | − | 0.545179i | ||||
\(292\) | 1.92769e10 | + | 3.33886e10i | 0.155173 | + | 0.268767i | ||||
\(293\) | −1.47790e11 | −1.17150 | −0.585748 | − | 0.810493i | \(-0.699199\pi\) | ||||
−0.585748 | + | 0.810493i | \(0.699199\pi\) | |||||||
\(294\) | 2.81340e10 | + | 4.87296e10i | 0.219619 | + | 0.380391i | ||||
\(295\) | −2.00481e10 | + | 3.47244e10i | −0.154126 | + | 0.266953i | ||||
\(296\) | −6.65927e10 | + | 1.15342e11i | −0.504213 | + | 0.873322i | ||||
\(297\) | 7.28001e10 | 0.542910 | ||||||||
\(298\) | −9.26438e9 | + | 1.60464e10i | −0.0680523 | + | 0.117870i | ||||
\(299\) | 3.62475e11 | 2.62275 | ||||||||
\(300\) | −1.31115e11 | −0.934562 | ||||||||
\(301\) | −3.29294e10 | − | 9.38796e10i | −0.231225 | − | 0.659208i | ||||
\(302\) | 1.54035e11 | 1.06559 | ||||||||
\(303\) | −3.23656e9 | −0.0220593 | ||||||||
\(304\) | 2.03858e10 | − | 3.53092e10i | 0.136898 | − | 0.237114i | ||||
\(305\) | −7.11901e10 | −0.471054 | ||||||||
\(306\) | −7.82146e10 | + | 1.35472e11i | −0.509966 | + | 0.883288i | ||||
\(307\) | −1.31147e10 | + | 2.27154e10i | −0.0842629 | + | 0.145948i | −0.905077 | − | 0.425248i | \(-0.860187\pi\) |
0.820814 | + | 0.571196i | \(0.193520\pi\) | |||||||
\(308\) | −3.60683e10 | − | 6.24721e10i | −0.228374 | − | 0.395556i | ||||
\(309\) | −4.28849e11 | −2.67603 | ||||||||
\(310\) | −2.43712e10 | − | 4.22122e10i | −0.149882 | − | 0.259604i | ||||
\(311\) | −6.50406e10 | + | 1.12654e11i | −0.394242 | + | 0.682847i | −0.993004 | − | 0.118080i | \(-0.962326\pi\) |
0.598762 | + | 0.800927i | \(0.295659\pi\) | |||||||
\(312\) | −4.02652e11 | −2.40566 | ||||||||
\(313\) | 3.48717e9 | − | 6.03996e9i | 0.0205364 | − | 0.0355701i | −0.855575 | − | 0.517680i | \(-0.826796\pi\) |
0.876111 | + | 0.482110i | \(0.160129\pi\) | |||||||
\(314\) | −9.48646e9 | − | 1.64310e10i | −0.0550707 | − | 0.0953853i | ||||
\(315\) | 2.90228e10 | + | 5.02689e10i | 0.166089 | + | 0.287675i | ||||
\(316\) | 6.79122e10 | + | 1.17627e11i | 0.383139 | + | 0.663616i | ||||
\(317\) | −1.45624e11 | −0.809967 | −0.404984 | − | 0.914324i | \(-0.632723\pi\) | ||||
−0.404984 | + | 0.914324i | \(0.632723\pi\) | |||||||
\(318\) | −9.30281e10 | − | 1.61129e11i | −0.510143 | − | 0.883594i | ||||
\(319\) | 1.19475e11 | + | 2.06937e11i | 0.645982 | + | 1.11887i | ||||
\(320\) | 1.33379e10 | − | 2.31019e10i | 0.0711070 | − | 0.123161i | ||||
\(321\) | −7.74652e10 | + | 1.34174e11i | −0.407225 | + | 0.705334i | ||||
\(322\) | −1.18644e11 | −0.615028 | ||||||||
\(323\) | 4.32311e11 | 2.20996 | ||||||||
\(324\) | −3.35082e10 | + | 5.80379e10i | −0.168927 | + | 0.292590i | ||||
\(325\) | 1.46839e11 | − | 2.54333e11i | 0.730073 | − | 1.26452i | ||||
\(326\) | −1.56351e9 | − | 2.70808e9i | −0.00766693 | − | 0.0132795i | ||||
\(327\) | −1.24496e10 | − | 2.15633e10i | −0.0602129 | − | 0.104292i | ||||
\(328\) | 3.00746e10 | 0.143472 | ||||||||
\(329\) | −2.91964e10 | − | 5.05696e10i | −0.137388 | − | 0.237962i | ||||
\(330\) | −3.03656e10 | − | 5.25947e10i | −0.140951 | − | 0.244135i | ||||
\(331\) | −6.10645e9 | − | 1.05767e10i | −0.0279616 | − | 0.0484310i | 0.851706 | − | 0.524020i | \(-0.175568\pi\) |
−0.879668 | + | 0.475589i | \(0.842235\pi\) | |||||||
\(332\) | −9.20482e9 | + | 1.59432e10i | −0.0415809 | + | 0.0720203i | ||||
\(333\) | 3.29795e11 | 1.46976 | ||||||||
\(334\) | −9.62668e10 | + | 1.66739e11i | −0.423270 | + | 0.733125i | ||||
\(335\) | −3.17454e10 | − | 5.49846e10i | −0.137714 | − | 0.238528i | ||||
\(336\) | −4.15616e10 | −0.177896 | ||||||||
\(337\) | −4.07288e10 | − | 7.05444e10i | −0.172015 | − | 0.297939i | 0.767109 | − | 0.641517i | \(-0.221695\pi\) |
−0.939124 | + | 0.343578i | \(0.888361\pi\) | |||||||
\(338\) | 1.17228e11 | − | 2.03044e11i | 0.488545 | − | 0.846184i | ||||
\(339\) | −1.91391e11 | + | 3.31499e11i | −0.787088 | + | 1.36328i | ||||
\(340\) | −7.86160e10 | −0.319048 | ||||||||
\(341\) | 1.83741e11 | − | 3.18249e11i | 0.735889 | − | 1.27460i | ||||
\(342\) | 3.20149e11 | 1.26542 | ||||||||
\(343\) | −2.70762e11 | −1.05625 | ||||||||
\(344\) | 2.40239e11 | + | 4.52681e10i | 0.924977 | + | 0.174293i | ||||
\(345\) | 2.21998e11 | 0.843651 | ||||||||
\(346\) | −1.65798e11 | −0.621924 | ||||||||
\(347\) | 2.62478e11 | − | 4.54626e11i | 0.971876 | − | 1.68334i | 0.281995 | − | 0.959416i | \(-0.409004\pi\) |
0.689881 | − | 0.723923i | \(-0.257663\pi\) | |||||||
\(348\) | 3.96044e11 | 1.44756 | ||||||||
\(349\) | −1.17473e11 | + | 2.03470e11i | −0.423863 | + | 0.734152i | −0.996313 | − | 0.0857872i | \(-0.972659\pi\) |
0.572451 | + | 0.819939i | \(0.305993\pi\) | |||||||
\(350\) | −4.80629e10 | + | 8.32474e10i | −0.171200 | + | 0.296527i | ||||
\(351\) | 1.35131e11 | + | 2.34053e11i | 0.475196 | + | 0.823063i | ||||
\(352\) | 2.82165e11 | 0.979630 | ||||||||
\(353\) | −9.34763e8 | − | 1.61906e9i | −0.00320417 | − | 0.00554978i | 0.864419 | − | 0.502772i | \(-0.167687\pi\) |
−0.867623 | + | 0.497223i | \(0.834353\pi\) | |||||||
\(354\) | 1.12717e11 | − | 1.95232e11i | 0.381484 | − | 0.660750i | ||||
\(355\) | 7.52671e10 | 0.251523 | ||||||||
\(356\) | −3.68696e10 | + | 6.38600e10i | −0.121659 | + | 0.210719i | ||||
\(357\) | −2.20344e11 | − | 3.81647e11i | −0.717950 | − | 1.24353i | ||||
\(358\) | −5.79434e10 | − | 1.00361e11i | −0.186436 | − | 0.322917i | ||||
\(359\) | 1.49364e11 | + | 2.58707e11i | 0.474594 | + | 0.822021i | 0.999577 | − | 0.0290922i | \(-0.00926163\pi\) |
−0.524983 | + | 0.851113i | \(0.675928\pi\) | |||||||
\(360\) | −1.42634e11 | −0.447569 | ||||||||
\(361\) | −2.81041e11 | − | 4.86777e11i | −0.870938 | − | 1.50851i | ||||
\(362\) | −9.08376e10 | − | 1.57335e11i | −0.278021 | − | 0.481546i | ||||
\(363\) | −2.58040e10 | + | 4.46938e10i | −0.0780021 | + | 0.135104i | ||||
\(364\) | 1.33899e11 | − | 2.31920e11i | 0.399781 | − | 0.692441i | ||||
\(365\) | −5.28880e10 | −0.155969 | ||||||||
\(366\) | 4.00255e11 | 1.16593 | ||||||||
\(367\) | 3.06560e10 | − | 5.30977e10i | 0.0882100 | − | 0.152784i | −0.818545 | − | 0.574443i | \(-0.805219\pi\) |
0.906755 | + | 0.421659i | \(0.138552\pi\) | |||||||
\(368\) | −4.59687e10 | + | 7.96201e10i | −0.130661 | + | 0.226312i | ||||
\(369\) | −3.72355e10 | − | 6.44938e10i | −0.104554 | − | 0.181092i | ||||
\(370\) | −3.72872e10 | − | 6.45834e10i | −0.103431 | − | 0.179148i | ||||
\(371\) | 3.03164e11 | 0.830797 | ||||||||
\(372\) | −3.04538e11 | − | 5.27476e11i | −0.824515 | − | 1.42810i | ||||
\(373\) | 6.13116e10 | + | 1.06195e11i | 0.164003 | + | 0.284062i | 0.936301 | − | 0.351199i | \(-0.114226\pi\) |
−0.772298 | + | 0.635261i | \(0.780893\pi\) | |||||||
\(374\) | 1.33341e11 | + | 2.30953e11i | 0.352404 | + | 0.610382i | ||||
\(375\) | 1.92143e11 | − | 3.32802e11i | 0.501746 | − | 0.869050i | ||||
\(376\) | 1.43487e11 | 0.370225 | ||||||||
\(377\) | −4.43538e11 | + | 7.68231e11i | −1.13082 | + | 1.95864i | ||||
\(378\) | −4.42306e10 | − | 7.66097e10i | −0.111432 | − | 0.193006i | ||||
\(379\) | 1.96971e8 | 0.000490373 | 0.000245187 | − | 1.00000i | \(-0.499922\pi\) | ||||
0.000245187 | 1.00000i | \(0.499922\pi\) | ||||||||
\(380\) | 8.04479e10 | + | 1.39340e11i | 0.197920 | + | 0.342807i | ||||
\(381\) | −4.84301e11 | + | 8.38835e11i | −1.17748 | + | 2.03945i | ||||
\(382\) | 8.75711e10 | − | 1.51678e11i | 0.210415 | − | 0.364449i | ||||
\(383\) | 5.80177e11 | 1.37774 | 0.688868 | − | 0.724887i | \(-0.258108\pi\) | ||||
0.688868 | + | 0.724887i | \(0.258108\pi\) | |||||||
\(384\) | 2.64056e11 | − | 4.57358e11i | 0.619733 | − | 1.07341i | ||||
\(385\) | 9.89566e10 | 0.229547 | ||||||||
\(386\) | −2.07850e11 | −0.476549 | ||||||||
\(387\) | −2.00366e11 | − | 5.71231e11i | −0.454072 | − | 1.29453i | ||||
\(388\) | −1.25851e11 | −0.281913 | ||||||||
\(389\) | −6.66445e11 | −1.47568 | −0.737838 | − | 0.674978i | \(-0.764153\pi\) | ||||
−0.737838 | + | 0.674978i | \(0.764153\pi\) | |||||||
\(390\) | 1.12729e11 | − | 1.95252e11i | 0.246742 | − | 0.427370i | ||||
\(391\) | −9.74835e11 | −2.10929 | ||||||||
\(392\) | 1.12647e11 | − | 1.95110e11i | 0.240952 | − | 0.417341i | ||||
\(393\) | −4.79087e11 | + | 8.29802e11i | −1.01309 | + | 1.75472i | ||||
\(394\) | 9.34794e10 | + | 1.61911e11i | 0.195426 | + | 0.338488i | ||||
\(395\) | −1.86323e11 | −0.385106 | ||||||||
\(396\) | −2.19465e11 | − | 3.80125e11i | −0.448474 | − | 0.776780i | ||||
\(397\) | −1.27740e11 | + | 2.21251e11i | −0.258088 | + | 0.447022i | −0.965730 | − | 0.259550i | \(-0.916426\pi\) |
0.707642 | + | 0.706572i | \(0.249759\pi\) | |||||||
\(398\) | −6.38035e10 | −0.127459 | ||||||||
\(399\) | −4.50957e11 | + | 7.81080e11i | −0.890752 | + | 1.54283i | ||||
\(400\) | 3.72439e10 | + | 6.45084e10i | 0.0727421 | + | 0.125993i | ||||
\(401\) | −2.22555e11 | − | 3.85476e11i | −0.429820 | − | 0.744470i | 0.567037 | − | 0.823692i | \(-0.308090\pi\) |
−0.996857 | + | 0.0792221i | \(0.974756\pi\) | |||||||
\(402\) | 1.78483e11 | + | 3.09142e11i | 0.340864 | + | 0.590393i | ||||
\(403\) | 1.36424e12 | 2.57642 | ||||||||
\(404\) | 2.64475e9 | + | 4.58084e9i | 0.00493933 | + | 0.00855517i | ||||
\(405\) | −4.59663e10 | − | 7.96160e10i | −0.0848969 | − | 0.147046i | ||||
\(406\) | 1.45178e11 | − | 2.51455e11i | 0.265175 | − | 0.459296i | ||||
\(407\) | 2.81119e11 | − | 4.86912e11i | 0.507826 | − | 0.879580i | ||||
\(408\) | 1.08289e12 | 1.93470 | ||||||||
\(409\) | −7.47902e11 | −1.32157 | −0.660785 | − | 0.750575i | \(-0.729776\pi\) | ||||
−0.660785 | + | 0.750575i | \(0.729776\pi\) | |||||||
\(410\) | −8.41983e9 | + | 1.45836e10i | −0.0147155 | + | 0.0254881i | ||||
\(411\) | 3.41294e10 | − | 5.91139e10i | 0.0589985 | − | 0.102188i | ||||
\(412\) | 3.50433e11 | + | 6.06968e11i | 0.599194 | + | 1.03783i | ||||
\(413\) | 1.83664e11 | + | 3.18116e11i | 0.310634 | + | 0.538034i | ||||
\(414\) | −7.21916e11 | −1.20777 | ||||||||
\(415\) | −1.26271e10 | − | 2.18708e10i | −0.0208972 | − | 0.0361950i | ||||
\(416\) | 5.23753e11 | + | 9.07167e11i | 0.857445 | + | 1.48514i | ||||
\(417\) | −5.22648e11 | − | 9.05252e11i | −0.846441 | − | 1.46608i | ||||
\(418\) | 2.72896e11 | − | 4.72670e11i | 0.437224 | − | 0.757294i | ||||
\(419\) | −5.58222e11 | −0.884797 | −0.442398 | − | 0.896819i | \(-0.645872\pi\) | ||||
−0.442398 | + | 0.896819i | \(0.645872\pi\) | |||||||
\(420\) | 8.20067e10 | − | 1.42040e11i | 0.128596 | − | 0.222735i | ||||
\(421\) | 3.62731e11 | + | 6.28269e11i | 0.562750 | + | 0.974711i | 0.997255 | + | 0.0740420i | \(0.0235899\pi\) |
−0.434505 | + | 0.900669i | \(0.643077\pi\) | |||||||
\(422\) | 7.67590e10 | 0.117821 | ||||||||
\(423\) | −1.77651e11 | − | 3.07701e11i | −0.269797 | − | 0.467302i | ||||
\(424\) | −3.72477e11 | + | 6.45150e11i | −0.559698 | + | 0.969425i | ||||
\(425\) | −3.94907e11 | + | 6.83999e11i | −0.587144 | + | 1.01696i | ||||
\(426\) | −4.23177e11 | −0.622557 | ||||||||
\(427\) | −3.26092e11 | + | 5.64808e11i | −0.474695 | + | 0.822196i | ||||
\(428\) | 2.53202e11 | 0.364729 | ||||||||
\(429\) | 1.69978e12 | 2.42290 | ||||||||
\(430\) | −8.92097e10 | + | 1.03822e11i | −0.125836 | + | 0.146447i | ||||
\(431\) | 1.09949e12 | 1.53477 | 0.767383 | − | 0.641189i | \(-0.221559\pi\) | ||||
0.767383 | + | 0.641189i | \(0.221559\pi\) | |||||||
\(432\) | −6.85486e10 | −0.0946938 | ||||||||
\(433\) | −2.48936e11 | + | 4.31171e11i | −0.340324 | + | 0.589459i | −0.984493 | − | 0.175425i | \(-0.943870\pi\) |
0.644169 | + | 0.764884i | \(0.277204\pi\) | |||||||
\(434\) | −4.46538e11 | −0.604163 | ||||||||
\(435\) | −2.71645e11 | + | 4.70503e11i | −0.363748 | + | 0.630030i | ||||
\(436\) | −2.03463e10 | + | 3.52408e10i | −0.0269647 | + | 0.0467043i | ||||
\(437\) | 9.97550e11 | + | 1.72781e12i | 1.30848 | + | 2.26636i | ||||
\(438\) | 2.97354e11 | 0.386047 | ||||||||
\(439\) | −7.49300e11 | − | 1.29783e12i | −0.962865 | − | 1.66773i | −0.715244 | − | 0.698875i | \(-0.753685\pi\) |
−0.247621 | − | 0.968857i | \(-0.579649\pi\) | |||||||
\(440\) | −1.21581e11 | + | 2.10585e11i | −0.154643 | + | 0.267849i | ||||
\(441\) | −5.57873e11 | −0.702364 | ||||||||
\(442\) | −4.95012e11 | + | 8.57386e11i | −0.616901 | + | 1.06850i | ||||
\(443\) | −6.75657e11 | − | 1.17027e12i | −0.833507 | − | 1.44368i | −0.895240 | − | 0.445584i | \(-0.852996\pi\) |
0.0617327 | − | 0.998093i | \(-0.480337\pi\) | |||||||
\(444\) | −4.65934e11 | − | 8.07021e11i | −0.568985 | − | 0.985511i | ||||
\(445\) | −5.05775e10 | − | 8.76027e10i | −0.0611416 | − | 0.105900i | ||||
\(446\) | 2.04244e11 | 0.244424 | ||||||||
\(447\) | −1.58807e11 | − | 2.75062e11i | −0.188142 | − | 0.325871i | ||||
\(448\) | −1.22191e11 | − | 2.11640e11i | −0.143313 | − | 0.248226i | ||||
\(449\) | 5.44022e11 | − | 9.42274e11i | 0.631696 | − | 1.09413i | −0.355509 | − | 0.934673i | \(-0.615692\pi\) |
0.987205 | − | 0.159457i | \(-0.0509742\pi\) | |||||||
\(450\) | −2.92449e11 | + | 5.06537e11i | −0.336197 | + | 0.582310i | ||||
\(451\) | −1.26959e11 | −0.144500 | ||||||||
\(452\) | 6.25580e11 | 0.704952 | ||||||||
\(453\) | −1.32021e12 | + | 2.28667e12i | −1.47300 | + | 2.55130i | ||||
\(454\) | 1.89504e11 | − | 3.28230e11i | 0.209347 | − | 0.362599i | ||||
\(455\) | 1.83682e11 | + | 3.18147e11i | 0.200917 | + | 0.347998i | ||||
\(456\) | −1.10812e12 | − | 1.91932e12i | −1.20018 | − | 2.07877i | ||||
\(457\) | 1.96529e11 | 0.210768 | 0.105384 | − | 0.994432i | \(-0.466393\pi\) | ||||
0.105384 | + | 0.994432i | \(0.466393\pi\) | |||||||
\(458\) | −8.82072e10 | − | 1.52779e11i | −0.0936720 | − | 0.162245i | ||||
\(459\) | −3.63419e11 | − | 6.29460e11i | −0.382165 | − | 0.661929i | ||||
\(460\) | −1.81405e11 | − | 3.14203e11i | −0.188903 | − | 0.327190i | ||||
\(461\) | −3.82645e11 | + | 6.62761e11i | −0.394587 | + | 0.683444i | −0.993048 | − | 0.117707i | \(-0.962446\pi\) |
0.598462 | + | 0.801151i | \(0.295779\pi\) | |||||||
\(462\) | −5.56368e11 | −0.568163 | ||||||||
\(463\) | −3.79995e11 | + | 6.58171e11i | −0.384294 | + | 0.665617i | −0.991671 | − | 0.128797i | \(-0.958888\pi\) |
0.607377 | + | 0.794414i | \(0.292222\pi\) | |||||||
\(464\) | −1.12498e11 | − | 1.94852e11i | −0.112672 | − | 0.195153i | ||||
\(465\) | 8.35528e11 | 0.828748 | ||||||||
\(466\) | −1.14343e11 | − | 1.98047e11i | −0.112324 | − | 0.194550i | ||||
\(467\) | 5.41410e11 | − | 9.37749e11i | 0.526744 | − | 0.912348i | −0.472770 | − | 0.881186i | \(-0.656746\pi\) |
0.999514 | − | 0.0311622i | \(-0.00992083\pi\) | |||||||
\(468\) | 8.14739e11 | − | 1.41117e12i | 0.785077 | − | 1.35979i | ||||
\(469\) | −5.81649e11 | −0.555116 | ||||||||
\(470\) | −4.01712e10 | + | 6.95786e10i | −0.0379730 | + | 0.0657711i | ||||
\(471\) | 3.25228e11 | 0.304504 | ||||||||
\(472\) | −9.02624e11 | −0.837082 | ||||||||
\(473\) | −1.01416e12 | − | 1.91098e11i | −0.931606 | − | 0.175542i | ||||
\(474\) | 1.04757e12 | 0.953194 | ||||||||
\(475\) | 1.61644e12 | 1.45693 | ||||||||
\(476\) | −3.60107e11 | + | 6.23724e11i | −0.321514 | + | 0.556879i | ||||
\(477\) | 1.84467e12 | 1.63149 | ||||||||
\(478\) | −3.65643e11 | + | 6.33312e11i | −0.320355 | + | 0.554871i | ||||
\(479\) | −1.05523e11 | + | 1.82770e11i | −0.0915873 | + | 0.158634i | −0.908179 | − | 0.418582i | \(-0.862527\pi\) |
0.816592 | + | 0.577215i | \(0.195861\pi\) | |||||||
\(480\) | 3.20773e11 | + | 5.55595e11i | 0.275811 | + | 0.477719i | ||||
\(481\) | 2.08724e12 | 1.77795 | ||||||||
\(482\) | −1.75765e11 | − | 3.04433e11i | −0.148327 | − | 0.256910i | ||||
\(483\) | 1.01688e12 | − | 1.76129e12i | 0.850173 | − | 1.47254i | ||||
\(484\) | 8.43426e10 | 0.0698623 | ||||||||
\(485\) | 8.63210e10 | − | 1.49512e11i | 0.0708400 | − | 0.122698i | ||||
\(486\) | 4.54618e11 | + | 7.87422e11i | 0.369644 | + | 0.640242i | ||||
\(487\) | 3.16544e11 | + | 5.48271e11i | 0.255008 | + | 0.441687i | 0.964898 | − | 0.262626i | \(-0.0845885\pi\) |
−0.709889 | + | 0.704313i | \(0.751255\pi\) | |||||||
\(488\) | −8.01295e11 | − | 1.38788e12i | −0.639593 | − | 1.10781i | ||||
\(489\) | 5.36023e10 | 0.0423930 | ||||||||
\(490\) | 6.30742e10 | + | 1.09248e11i | 0.0494276 | + | 0.0856111i | ||||
\(491\) | −6.52346e11 | − | 1.12990e12i | −0.506537 | − | 0.877348i | −0.999971 | − | 0.00756504i | \(-0.997592\pi\) |
0.493434 | − | 0.869783i | \(-0.335741\pi\) | |||||||
\(492\) | −1.05213e11 | + | 1.82234e11i | −0.0809515 | + | 0.140212i | ||||
\(493\) | 1.19285e12 | − | 2.06607e12i | 0.909438 | − | 1.57519i | ||||
\(494\) | 2.02619e12 | 1.53077 | ||||||||
\(495\) | 6.02122e11 | 0.450777 | ||||||||
\(496\) | −1.73011e11 | + | 2.99664e11i | −0.128353 | + | 0.222314i | ||||
\(497\) | 3.44767e11 | − | 5.97154e11i | 0.253467 | − | 0.439018i | ||||
\(498\) | 7.09940e10 | + | 1.22965e11i | 0.0517237 | + | 0.0895881i | ||||
\(499\) | −9.67073e11 | − | 1.67502e12i | −0.698243 | − | 1.20939i | −0.969075 | − | 0.246766i | \(-0.920632\pi\) |
0.270832 | − | 0.962627i | \(-0.412701\pi\) | |||||||
\(500\) | −6.28037e11 | −0.449387 | ||||||||
\(501\) | −1.65017e12 | − | 2.85818e12i | −1.17020 | − | 2.02684i | ||||
\(502\) | 1.75515e11 | + | 3.04001e11i | 0.123352 | + | 0.213652i | ||||
\(503\) | −1.74675e11 | − | 3.02546e11i | −0.121668 | − | 0.210735i | 0.798758 | − | 0.601653i | \(-0.205491\pi\) |
−0.920425 | + | 0.390918i | \(0.872158\pi\) | |||||||
\(504\) | −6.53344e11 | + | 1.13163e12i | −0.451029 | + | 0.781205i | ||||
\(505\) | −7.25610e9 | −0.00496469 | ||||||||
\(506\) | −6.15364e11 | + | 1.06584e12i | −0.417306 | + | 0.722795i | ||||
\(507\) | 2.00948e12 | + | 3.48051e12i | 1.35066 | + | 2.33942i | ||||
\(508\) | 1.58298e12 | 1.05460 | ||||||||
\(509\) | 1.17123e12 | + | 2.02863e12i | 0.773414 | + | 1.33959i | 0.935682 | + | 0.352845i | \(0.114786\pi\) |
−0.162268 | + | 0.986747i | \(0.551881\pi\) | |||||||
\(510\) | −3.03171e11 | + | 5.25107e11i | −0.198436 | + | 0.343702i | ||||
\(511\) | −2.42258e11 | + | 4.19602e11i | −0.157175 | + | 0.272235i | ||||
\(512\) | −5.07692e11 | −0.326502 | ||||||||
\(513\) | −7.43775e11 | + | 1.28826e12i | −0.474147 | + | 0.821247i | ||||
\(514\) | 4.47778e10 | 0.0282962 | ||||||||
\(515\) | −9.61444e11 | −0.602270 | ||||||||
\(516\) | −1.11475e12 | + | 1.29734e12i | −0.692234 | + | 0.805618i | ||||
\(517\) | −6.05723e11 | −0.372878 | ||||||||
\(518\) | −6.83189e11 | −0.416924 | ||||||||
\(519\) | 1.42103e12 | − | 2.46129e12i | 0.859705 | − | 1.48905i | ||||
\(520\) | −9.02713e11 | −0.541420 | ||||||||
\(521\) | 3.36609e11 | − | 5.83024e11i | 0.200150 | − | 0.346670i | −0.748427 | − | 0.663218i | \(-0.769190\pi\) |
0.948577 | + | 0.316548i | \(0.102524\pi\) | |||||||
\(522\) | 8.83364e11 | − | 1.53003e12i | 0.520742 | − | 0.901951i | ||||
\(523\) | 1.21979e12 | + | 2.11273e12i | 0.712897 | + | 1.23477i | 0.963765 | + | 0.266752i | \(0.0859506\pi\) |
−0.250868 | + | 0.968021i | \(0.580716\pi\) | |||||||
\(524\) | 1.56594e12 | 0.907369 | ||||||||
\(525\) | −8.23878e11 | − | 1.42700e12i | −0.473311 | − | 0.819798i | ||||
\(526\) | −1.10668e11 | + | 1.91683e11i | −0.0630359 | + | 0.109181i | ||||
\(527\) | −3.66896e12 | −2.07203 | ||||||||
\(528\) | −2.15565e11 | + | 3.73369e11i | −0.120705 | + | 0.209067i | ||||
\(529\) | −1.34884e12 | − | 2.33626e12i | −0.748875 | − | 1.29709i | ||||
\(530\) | −2.08561e11 | − | 3.61239e11i | −0.114813 | − | 0.198863i | ||||
\(531\) | 1.11754e12 | + | 1.93564e12i | 0.610013 | + | 1.05657i | ||||
\(532\) | 1.47399e12 | 0.797798 | ||||||||
\(533\) | −2.35660e11 | − | 4.08175e11i | −0.126477 | − | 0.219065i | ||||
\(534\) | 2.84364e11 | + | 4.92533e11i | 0.151335 | + | 0.262119i | ||||
\(535\) | −1.73671e11 | + | 3.00806e11i | −0.0916504 | + | 0.158743i | ||||
\(536\) | 7.14634e11 | − | 1.23778e12i | 0.373975 | − | 0.647743i | ||||
\(537\) | 1.98649e12 | 1.03087 | ||||||||
\(538\) | −1.84443e12 | −0.949165 | ||||||||
\(539\) | −4.75533e11 | + | 8.23648e11i | −0.242679 | + | 0.420332i | ||||
\(540\) | 1.35256e11 | − | 2.34270e11i | 0.0684517 | − | 0.118562i | ||||
\(541\) | −4.66989e11 | − | 8.08849e11i | −0.234379 | − | 0.405957i | 0.724713 | − | 0.689051i | \(-0.241972\pi\) |
−0.959092 | + | 0.283094i | \(0.908639\pi\) | |||||||
\(542\) | 5.56314e11 | + | 9.63564e11i | 0.276900 | + | 0.479605i | ||||
\(543\) | 3.11422e12 | 1.53727 | ||||||||
\(544\) | −1.40857e12 | − | 2.43972e12i | −0.689580 | − | 1.19439i | ||||
\(545\) | −2.79109e10 | − | 4.83431e10i | −0.0135516 | − | 0.0234720i | ||||
\(546\) | −1.03272e12 | − | 1.78873e12i | −0.497299 | − | 0.861347i | ||||
\(547\) | 6.18176e11 | − | 1.07071e12i | 0.295236 | − | 0.511364i | −0.679804 | − | 0.733394i | \(-0.737935\pi\) |
0.975040 | + | 0.222030i | \(0.0712684\pi\) | |||||||
\(548\) | −1.11555e11 | −0.0528417 | ||||||||
\(549\) | −1.98418e12 | + | 3.43669e12i | −0.932191 | + | 1.61460i | ||||
\(550\) | 4.98569e11 | + | 8.63548e11i | 0.232324 | + | 0.402396i | ||||
\(551\) | −4.88257e12 | −2.25666 | ||||||||
\(552\) | 2.49874e12 | + | 4.32795e12i | 1.14550 | + | 1.98407i | ||||
\(553\) | −8.53468e11 | + | 1.47825e12i | −0.388083 | + | 0.672179i | ||||
\(554\) | −4.32886e11 | + | 7.49781e11i | −0.195245 | + | 0.338174i | ||||
\(555\) | 1.27833e12 | 0.571906 | ||||||||
\(556\) | −8.54161e11 | + | 1.47945e12i | −0.379056 | + | 0.656544i | ||||
\(557\) | 1.47143e12 | 0.647725 | 0.323863 | − | 0.946104i | \(-0.395018\pi\) | ||||
0.323863 | + | 0.946104i | \(0.395018\pi\) | |||||||
\(558\) | −2.71705e12 | −1.18644 | ||||||||
\(559\) | −1.26810e12 | − | 3.61526e12i | −0.549286 | − | 1.56598i | ||||
\(560\) | −9.31776e10 | −0.0400373 | ||||||||
\(561\) | −4.57137e12 | −1.94856 | ||||||||
\(562\) | 2.15421e11 | − | 3.73120e11i | 0.0910908 | − | 0.157774i | ||||
\(563\) | 1.68649e12 | 0.707452 | 0.353726 | − | 0.935349i | \(-0.384914\pi\) | ||||
0.353726 | + | 0.935349i | \(0.384914\pi\) | |||||||
\(564\) | −5.01972e11 | + | 8.69440e11i | −0.208893 | + | 0.361813i | ||||
\(565\) | −4.29083e11 | + | 7.43194e11i | −0.177143 | + | 0.306820i | ||||
\(566\) | 1.28181e11 | + | 2.22016e11i | 0.0524989 | + | 0.0909307i | ||||
\(567\) | −8.42209e11 | −0.342213 | ||||||||
\(568\) | 8.47185e11 | + | 1.46737e12i | 0.341516 | + | 0.591523i | ||||
\(569\) | 1.17506e12 | − | 2.03526e12i | 0.469954 | − | 0.813984i | −0.529456 | − | 0.848337i | \(-0.677604\pi\) |
0.999410 | + | 0.0343536i | \(0.0109373\pi\) | |||||||
\(570\) | 1.24094e12 | 0.492396 | ||||||||
\(571\) | 2.10903e11 | − | 3.65294e11i | 0.0830270 | − | 0.143807i | −0.821522 | − | 0.570177i | \(-0.806875\pi\) |
0.904549 | + | 0.426370i | \(0.140208\pi\) | |||||||
\(572\) | −1.38897e12 | − | 2.40577e12i | −0.542515 | − | 0.939664i | ||||
\(573\) | 1.50112e12 | + | 2.60001e12i | 0.581726 | + | 1.00758i | ||||
\(574\) | 7.71354e10 | + | 1.33602e11i | 0.0296586 | + | 0.0513702i | ||||
\(575\) | −3.64496e12 | −1.39055 | ||||||||
\(576\) | −7.43494e11 | − | 1.28777e12i | −0.281434 | − | 0.487458i | ||||
\(577\) | 1.11070e12 | + | 1.92379e12i | 0.417163 | + | 0.722548i | 0.995653 | − | 0.0931416i | \(-0.0296909\pi\) |
−0.578489 | + | 0.815690i | \(0.696358\pi\) | |||||||
\(578\) | 5.83890e11 | − | 1.01133e12i | 0.217598 | − | 0.376891i | ||||
\(579\) | 1.78145e12 | − | 3.08556e12i | 0.658749 | − | 1.14099i | ||||
\(580\) | 8.87897e11 | 0.325789 | ||||||||
\(581\) | −2.31358e11 | −0.0842349 | ||||||||
\(582\) | −4.85326e11 | + | 8.40609e11i | −0.175340 | + | 0.303697i | ||||
\(583\) | 1.57240e12 | − | 2.72348e12i | 0.563708 | − | 0.976372i | ||||
\(584\) | −5.95292e11 | − | 1.03108e12i | −0.211774 | − | 0.366803i | ||||
\(585\) | 1.11765e12 | + | 1.93583e12i | 0.394554 | + | 0.683387i | ||||
\(586\) | 1.86287e12 | 0.652594 | ||||||||
\(587\) | 2.50749e12 | + | 4.34311e12i | 0.871703 | + | 1.50983i | 0.860234 | + | 0.509899i | \(0.170317\pi\) |
0.0114687 | + | 0.999934i | \(0.496349\pi\) | |||||||
\(588\) | 7.88163e11 | + | 1.36514e12i | 0.271905 | + | 0.470954i | ||||
\(589\) | 3.75445e12 | + | 6.50290e12i | 1.28537 | + | 2.22632i | ||||
\(590\) | 2.52703e11 | − | 4.37695e11i | 0.0858572 | − | 0.148709i | ||||
\(591\) | −3.20479e12 | −1.08058 | ||||||||
\(592\) | −2.64701e11 | + | 4.58476e11i | −0.0885745 | + | 0.153415i | ||||
\(593\) | −2.09996e12 | − | 3.63724e12i | −0.697374 | − | 1.20789i | −0.969374 | − | 0.245590i | \(-0.921018\pi\) |
0.272000 | − | 0.962297i | \(-0.412315\pi\) | |||||||
\(594\) | −9.17632e11 | −0.302433 | ||||||||
\(595\) | −4.93993e11 | − | 8.55620e11i | −0.161582 | − | 0.279869i | ||||
\(596\) | −2.59537e11 | + | 4.49532e11i | −0.0842543 | + | 0.145933i | ||||
\(597\) | 5.46849e11 | − | 9.47170e11i | 0.176191 | − | 0.305171i | ||||
\(598\) | −4.56893e12 | −1.46103 | ||||||||
\(599\) | 1.75375e12 | − | 3.03759e12i | 0.556605 | − | 0.964069i | −0.441171 | − | 0.897423i | \(-0.645437\pi\) |
0.997777 | − | 0.0666459i | \(-0.0212298\pi\) | |||||||
\(600\) | 4.04898e12 | 1.27545 | ||||||||
\(601\) | −1.85376e12 | −0.579587 | −0.289793 | − | 0.957089i | \(-0.593587\pi\) | ||||
−0.289793 | + | 0.957089i | \(0.593587\pi\) | |||||||
\(602\) | 4.15069e11 | + | 1.18334e12i | 0.128806 | + | 0.367218i | ||||
\(603\) | −3.53917e12 | −1.09012 | ||||||||
\(604\) | 4.31523e12 | 1.31928 | ||||||||
\(605\) | −5.78503e10 | + | 1.00200e11i | −0.0175552 | + | 0.0304066i | ||||
\(606\) | 4.07963e10 | 0.0122883 | ||||||||
\(607\) | 1.33696e12 | − | 2.31568e12i | 0.399732 | − | 0.692356i | −0.593961 | − | 0.804494i | \(-0.702437\pi\) |
0.993693 | + | 0.112138i | \(0.0357699\pi\) | |||||||
\(608\) | −2.88279e12 | + | 4.99314e12i | −0.855554 | + | 1.48186i | ||||
\(609\) | 2.48859e12 | + | 4.31036e12i | 0.733120 | + | 1.26980i | ||||
\(610\) | 8.97339e11 | 0.262405 | ||||||||
\(611\) | −1.12434e12 | − | 1.94741e12i | −0.326371 | − | 0.565291i | ||||
\(612\) | −2.19115e12 | + | 3.79518e12i | −0.631379 | + | 1.09358i | ||||
\(613\) | 2.38772e12 | 0.682986 | 0.341493 | − | 0.939884i | \(-0.389067\pi\) | ||||
0.341493 | + | 0.939884i | \(0.389067\pi\) | |||||||
\(614\) | 1.65309e11 | − | 2.86323e11i | 0.0469395 | − | 0.0813016i | ||||
\(615\) | −1.44330e11 | − | 2.49987e11i | −0.0406835 | − | 0.0704659i | ||||
\(616\) | 1.11383e12 | + | 1.92920e12i | 0.311677 | + | 0.539840i | ||||
\(617\) | −1.19923e11 | − | 2.07713e11i | −0.0333135 | − | 0.0577006i | 0.848888 | − | 0.528573i | \(-0.177273\pi\) |
−0.882201 | + | 0.470872i | \(0.843939\pi\) | |||||||
\(618\) | 5.40557e12 | 1.49071 | ||||||||
\(619\) | −2.49338e12 | − | 4.31866e12i | −0.682622 | − | 1.18234i | −0.974178 | − | 0.225782i | \(-0.927506\pi\) |
0.291556 | − | 0.956554i | \(-0.405827\pi\) | |||||||
\(620\) | −6.82750e11 | − | 1.18256e12i | −0.185566 | − | 0.321410i | ||||
\(621\) | 1.67717e12 | − | 2.90494e12i | 0.452547 | − | 0.783835i | ||||
\(622\) | 8.19825e11 | − | 1.41998e12i | 0.219616 | − | 0.380386i | ||||
\(623\) | −9.26697e11 | −0.246457 | ||||||||
\(624\) | −1.60052e12 | −0.422600 | ||||||||
\(625\) | −1.24743e12 | + | 2.16061e12i | −0.327006 | + | 0.566392i | ||||
\(626\) | −4.39552e10 | + | 7.61326e10i | −0.0114400 | + | 0.0198147i | ||||
\(627\) | 4.67789e12 | + | 8.10235e12i | 1.20878 | + | 2.09366i | ||||
\(628\) | −2.65759e11 | − | 4.60308e11i | −0.0681820 | − | 0.118095i | ||||
\(629\) | −5.61339e12 | −1.42987 | ||||||||
\(630\) | −3.65827e11 | − | 6.33631e11i | −0.0925216 | − | 0.160252i | ||||
\(631\) | −2.10067e12 | − | 3.63846e12i | −0.527503 | − | 0.913662i | −0.999486 | − | 0.0320544i | \(-0.989795\pi\) |
0.471983 | − | 0.881608i | \(-0.343538\pi\) | |||||||
\(632\) | −2.09720e12 | − | 3.63246e12i | −0.522893 | − | 0.905677i | ||||
\(633\) | −6.57888e11 | + | 1.13950e12i | −0.162868 | + | 0.282095i | ||||
\(634\) | 1.83557e12 | 0.451200 | ||||||||
\(635\) | −1.08576e12 | + | 1.88060e12i | −0.265005 | + | 0.459001i | ||||
\(636\) | −2.60614e12 | − | 4.51397e12i | −0.631598 | − | 1.09396i | ||||
\(637\) | −3.53072e12 | −0.849643 | ||||||||
\(638\) | −1.50597e12 | − | 2.60841e12i | −0.359851 | − | 0.623279i | ||||
\(639\) | 2.09781e12 | − | 3.63351e12i | 0.497751 | − | 0.862130i | ||||
\(640\) | 5.91991e11 | − | 1.02536e12i | 0.139478 | − | 0.241583i | ||||
\(641\) | −2.62295e10 | −0.00613661 | −0.00306831 | − | 0.999995i | \(-0.500977\pi\) | ||||
−0.00306831 | + | 0.999995i | \(0.500977\pi\) | |||||||
\(642\) | 9.76436e11 | − | 1.69124e12i | 0.226849 | − | 0.392913i | ||||
\(643\) | 7.90595e12 | 1.82392 | 0.911958 | − | 0.410284i | \(-0.134571\pi\) | ||||
0.911958 | + | 0.410284i | \(0.134571\pi\) | |||||||
\(644\) | −3.32376e12 | −0.761454 | ||||||||
\(645\) | −7.76646e11 | − | 2.21417e12i | −0.176687 | − | 0.503723i | ||||
\(646\) | −5.44920e12 | −1.23108 | ||||||||
\(647\) | 1.38448e11 | 0.0310611 | 0.0155305 | − | 0.999879i | \(-0.495056\pi\) | ||||
0.0155305 | + | 0.999879i | \(0.495056\pi\) | |||||||
\(648\) | 1.03477e12 | − | 1.79227e12i | 0.230545 | − | 0.399315i | ||||
\(649\) | 3.81039e12 | 0.843080 | ||||||||
\(650\) | −1.85088e12 | + | 3.20582e12i | −0.406694 | + | 0.704415i | ||||
\(651\) | 3.82720e12 | − | 6.62891e12i | 0.835155 | − | 1.44653i | ||||
\(652\) | −4.38010e10 | − | 7.58656e10i | −0.00949227 | − | 0.0164411i | ||||
\(653\) | −5.46512e12 | −1.17622 | −0.588112 | − | 0.808780i | \(-0.700129\pi\) | ||||
−0.588112 | + | 0.808780i | \(0.700129\pi\) | |||||||
\(654\) | 1.56925e11 | + | 2.71801e11i | 0.0335422 | + | 0.0580968i | ||||
\(655\) | −1.07407e12 | + | 1.86035e12i | −0.228007 | + | 0.394919i | ||||
\(656\) | 1.19544e11 | 0.0252036 | ||||||||
\(657\) | −1.47407e12 | + | 2.55316e12i | −0.308655 | + | 0.534606i | ||||
\(658\) | 3.68015e11 | + | 6.37421e11i | 0.0765330 | + | 0.132559i | ||||
\(659\) | 1.40594e12 | + | 2.43516e12i | 0.290391 | + | 0.502972i | 0.973902 | − | 0.226968i | \(-0.0728813\pi\) |
−0.683511 | + | 0.729940i | \(0.739548\pi\) | |||||||
\(660\) | −8.50678e11 | − | 1.47342e12i | −0.174509 | − | 0.302258i | ||||
\(661\) | 5.49522e12 | 1.11964 | 0.559820 | − | 0.828614i | \(-0.310870\pi\) | ||||
0.559820 | + | 0.828614i | \(0.310870\pi\) | |||||||
\(662\) | 7.69707e10 | + | 1.33317e11i | 0.0155763 | + | 0.0269790i | ||||
\(663\) | −8.48534e12 | − | 1.46970e13i | −1.70553 | − | 2.95406i | ||||
\(664\) | 2.84254e11 | − | 4.92343e11i | 0.0567481 | − | 0.0982905i | ||||
\(665\) | −1.01101e12 | + | 1.75112e12i | −0.200473 | + | 0.347230i | ||||
\(666\) | −4.15701e12 | −0.818741 | ||||||||
\(667\) | 1.10099e13 | 2.15386 | ||||||||
\(668\) | −2.69687e12 | + | 4.67112e12i | −0.524042 | + | 0.907667i | ||||
\(669\) | −1.75054e12 | + | 3.03203e12i | −0.337875 | + | 0.585216i | ||||
\(670\) | 4.00145e11 | + | 6.93072e11i | 0.0767151 | + | 0.132874i | ||||
\(671\) | 3.38264e12 | + | 5.85890e12i | 0.644176 | + | 1.11575i | ||||
\(672\) | 5.87730e12 | 1.11177 | ||||||||
\(673\) | 3.59897e12 | + | 6.23360e12i | 0.676255 | + | 1.17131i | 0.976100 | + | 0.217321i | \(0.0697318\pi\) |
−0.299845 | + | 0.953988i | \(0.596935\pi\) | |||||||
\(674\) | 5.13379e11 | + | 8.89199e11i | 0.0958228 | + | 0.165970i | ||||
\(675\) | −1.35884e12 | − | 2.35359e12i | −0.251943 | − | 0.436379i | ||||
\(676\) | 3.28408e12 | − | 5.68819e12i | 0.604858 | − | 1.04764i | ||||
\(677\) | −1.67765e12 | −0.306940 | −0.153470 | − | 0.988153i | \(-0.549045\pi\) | ||||
−0.153470 | + | 0.988153i | \(0.549045\pi\) | |||||||
\(678\) | 2.41245e12 | − | 4.17849e12i | 0.438455 | − | 0.759426i | ||||
\(679\) | −7.90800e11 | − | 1.36971e12i | −0.142775 | − | 0.247294i | ||||
\(680\) | 2.42774e12 | 0.435424 | ||||||||
\(681\) | 3.24841e12 | + | 5.62641e12i | 0.578773 | + | 1.00246i | ||||
\(682\) | −2.31603e12 | + | 4.01148e12i | −0.409934 | + | 0.710027i | ||||
\(683\) | 3.12845e12 | − | 5.41863e12i | 0.550092 | − | 0.952788i | −0.448175 | − | 0.893946i | \(-0.647926\pi\) |
0.998267 | − | 0.0588419i | \(-0.0187408\pi\) | |||||||
\(684\) | 8.96882e12 | 1.56669 | ||||||||
\(685\) | 7.65153e10 | − | 1.32528e11i | 0.0132783 | − | 0.0229986i | ||||
\(686\) | 3.41291e12 | 0.588392 | ||||||||
\(687\) | 3.02404e12 | 0.517943 | ||||||||
\(688\) | 9.54935e11 | + | 1.79938e11i | 0.162490 | + | 0.0306178i | ||||
\(689\) | 1.16747e13 | 1.97360 | ||||||||
\(690\) | −2.79824e12 | −0.469964 | ||||||||
\(691\) | −5.13616e11 | + | 8.89609e11i | −0.0857013 | + | 0.148439i | −0.905690 | − | 0.423941i | \(-0.860646\pi\) |
0.819989 | + | 0.572380i | \(0.193980\pi\) | |||||||
\(692\) | −4.64476e12 | −0.769991 | ||||||||
\(693\) | 2.75807e12 | − | 4.77712e12i | 0.454261 | − | 0.786803i | ||||
\(694\) | −3.30849e12 | + | 5.73048e12i | −0.541393 | + | 0.937720i | ||||
\(695\) | −1.17173e12 | − | 2.02950e12i | −0.190501 | − | 0.329957i | ||||
\(696\) | −1.22302e13 | −1.97558 | ||||||||
\(697\) | 6.33780e11 | + | 1.09774e12i | 0.101716 | + | 0.176178i | ||||
\(698\) | 1.48073e12 | − | 2.56470e12i | 0.236117 | − | 0.408966i | ||||
\(699\) | 3.92005e12 | 0.621075 | ||||||||
\(700\) | −1.34646e12 | + | 2.33214e12i | −0.211959 | + | 0.367124i | ||||
\(701\) | −3.87377e12 | − | 6.70956e12i | −0.605902 | − | 1.04945i | −0.991908 | − | 0.126957i | \(-0.959479\pi\) |
0.386006 | − | 0.922496i | \(-0.373854\pi\) | |||||||
\(702\) | −1.70330e12 | − | 2.95020e12i | −0.264712 | − | 0.458495i | ||||
\(703\) | 5.74420e12 | + | 9.94924e12i | 0.887013 | + | 1.53635i | ||||
\(704\) | −2.53503e12 | −0.388961 | ||||||||
\(705\) | −6.88602e11 | − | 1.19269e12i | −0.104983 | − | 0.181835i | ||||
\(706\) | 1.17825e10 | + | 2.04079e10i | 0.00178491 | + | 0.00309156i | ||||
\(707\) | −3.32371e10 | + | 5.75684e10i | −0.00500307 | + | 0.00866557i | ||||
\(708\) | 3.15773e12 | − | 5.46935e12i | 0.472308 | − | 0.818061i | ||||
\(709\) | 6.42186e11 | 0.0954449 | 0.0477224 | − | 0.998861i | \(-0.484804\pi\) | ||||
0.0477224 | + | 0.998861i | \(0.484804\pi\) | |||||||
\(710\) | −9.48729e11 | −0.140113 | ||||||||
\(711\) | −5.19311e12 | + | 8.99473e12i | −0.762104 | + | 1.32000i | ||||
\(712\) | 1.13857e12 | − | 1.97206e12i | 0.166035 | − | 0.287581i | ||||
\(713\) | −8.46606e12 | − | 1.46636e13i | −1.22681 | − | 2.12490i | ||||
\(714\) | 2.77739e12 | + | 4.81059e12i | 0.399941 | + | 0.692718i | ||||
\(715\) | 3.81077e12 | 0.545300 | ||||||||
\(716\) | −1.62326e12 | − | 2.81157e12i | −0.230823 | − | 0.399797i | ||||
\(717\) | −6.26773e12 | − | 1.08560e13i | −0.885674 | − | 1.53403i | ||||
\(718\) | −1.88271e12 | − | 3.26095e12i | −0.264377 | − | 0.457915i | ||||
\(719\) | −4.21921e12 | + | 7.30789e12i | −0.588778 | + | 1.01979i | 0.405615 | + | 0.914044i | \(0.367057\pi\) |
−0.994393 | + | 0.105749i | \(0.966276\pi\) | |||||||
\(720\) | −5.66959e11 | −0.0786240 | ||||||||
\(721\) | −4.40397e12 | + | 7.62790e12i | −0.606926 | + | 1.05123i | ||||
\(722\) | 3.54247e12 | + | 6.13574e12i | 0.485164 | + | 0.840329i | ||||
\(723\) | 6.02580e12 | 0.820148 | ||||||||
\(724\) | −2.54478e12 | − | 4.40768e12i | −0.344212 | − | 0.596193i | ||||
\(725\) | 4.46012e12 | − | 7.72515e12i | 0.599550 | − | 1.03845i | ||||
\(726\) | 3.25254e11 | − | 5.63357e11i | 0.0434518 | − | 0.0752608i | ||||
\(727\) | 1.06932e12 | 0.141972 | 0.0709858 | − | 0.997477i | \(-0.477385\pi\) | ||||
0.0709858 | + | 0.997477i | \(0.477385\pi\) | |||||||
\(728\) | −4.13495e12 | + | 7.16194e12i | −0.545606 | + | 0.945017i | ||||
\(729\) | −1.18503e13 | −1.55402 | ||||||||
\(730\) | 6.66643e11 | 0.0868842 | ||||||||
\(731\) | 3.41040e12 | + | 9.72283e12i | 0.441750 | + | 1.25940i | ||||
\(732\) | 1.12130e13 | 1.44351 | ||||||||
\(733\) | −6.09483e12 | −0.779819 | −0.389910 | − | 0.920853i | \(-0.627494\pi\) | ||||
−0.389910 | + | 0.920853i | \(0.627494\pi\) | |||||||
\(734\) | −3.86413e11 | + | 6.69287e11i | −0.0491382 | + | 0.0851099i | ||||
\(735\) | −2.16239e12 | −0.273301 | ||||||||
\(736\) | 6.50052e12 | − | 1.12592e13i | 0.816579 | − | 1.41436i | ||||
\(737\) | −3.01680e12 | + | 5.22525e12i | −0.376654 | + | 0.652385i | ||||
\(738\) | 4.69347e11 | + | 8.12933e11i | 0.0582426 | + | 0.100879i | ||||
\(739\) | −1.25293e13 | −1.54536 | −0.772678 | − | 0.634798i | \(-0.781083\pi\) | ||||
−0.772678 | + | 0.634798i | \(0.781083\pi\) | |||||||
\(740\) | −1.04459e12 | − | 1.80927e12i | −0.128056 | − | 0.221800i | ||||
\(741\) | −1.73661e13 | + | 3.00790e13i | −2.11603 | + | 3.66506i | ||||
\(742\) | −3.82133e12 | −0.462803 | ||||||||
\(743\) | −1.37856e12 | + | 2.38773e12i | −0.165949 | + | 0.287432i | −0.936992 | − | 0.349351i | \(-0.886402\pi\) |
0.771043 | + | 0.636783i | \(0.219735\pi\) | |||||||
\(744\) | 9.40446e12 | + | 1.62890e13i | 1.12527 | + | 1.94902i | ||||
\(745\) | −3.56032e11 | − | 6.16665e11i | −0.0423434 | − | 0.0733409i | ||||
\(746\) | −7.72821e11 | − | 1.33857e12i | −0.0913596 | − | 0.158240i | ||||
\(747\) | −1.40775e12 | −0.165418 | ||||||||
\(748\) | 3.73549e12 | + | 6.47005e12i | 0.436305 | + | 0.755702i | ||||
\(749\) | 1.59102e12 | + | 2.75574e12i | 0.184718 | + | 0.319941i | ||||
\(750\) | −2.42193e12 | + | 4.19490e12i | −0.279502 | + | 0.484113i | ||||
\(751\) | −1.30541e12 | + | 2.26104e12i | −0.149750 | + | 0.259375i | −0.931135 | − | 0.364675i | \(-0.881180\pi\) |
0.781385 | + | 0.624049i | \(0.214514\pi\) | |||||||
\(752\) | 5.70350e11 | 0.0650370 | ||||||||
\(753\) | −6.01724e12 | −0.682055 | ||||||||
\(754\) | 5.59072e12 | − | 9.68341e12i | 0.629936 | − | 1.09108i | ||||
\(755\) | −2.95980e12 | + | 5.12653e12i | −0.331514 | + | 0.574199i | ||||
\(756\) | −1.23910e12 | − | 2.14619e12i | −0.137962 | − | 0.238957i | ||||
\(757\) | −1.21095e11 | − | 2.09743e11i | −0.0134028 | − | 0.0232143i | 0.859246 | − | 0.511562i | \(-0.170933\pi\) |
−0.872649 | + | 0.488348i | \(0.837600\pi\) | |||||||
\(758\) | −2.48279e9 | −0.000273167 | ||||||||
\(759\) | −1.05484e13 | − | 1.82703e13i | −1.15371 | − | 1.99829i | ||||
\(760\) | −2.48432e12 | − | 4.30296e12i | −0.270113 | − | 0.467849i | ||||
\(761\) | 3.23267e12 | + | 5.59914e12i | 0.349406 | + | 0.605188i | 0.986144 | − | 0.165892i | \(-0.0530502\pi\) |
−0.636738 | + | 0.771080i | \(0.719717\pi\) | |||||||
\(762\) | 6.10453e12 | − | 1.05734e13i | 0.655926 | − | 1.13610i | ||||
\(763\) | −5.11393e11 | −0.0546253 | ||||||||
\(764\) | 2.45327e12 | − | 4.24918e12i | 0.260510 | − | 0.451217i | ||||
\(765\) | −3.00580e12 | − | 5.20620e12i | −0.317310 | − | 0.549597i | ||||
\(766\) | −7.31303e12 | −0.767481 | ||||||||
\(767\) | 7.07282e12 | + | 1.22505e13i | 0.737927 | + | 1.27813i | ||||
\(768\) | −6.37443e12 | + | 1.10408e13i | −0.661174 | + | 1.14519i | ||||
\(769\) | 2.43367e11 | − | 4.21525e11i | 0.0250954 | − | 0.0434665i | −0.853205 | − | 0.521576i | \(-0.825344\pi\) |
0.878300 | + | 0.478109i | \(0.158678\pi\) | |||||||
\(770\) | −1.24733e12 | −0.127871 | ||||||||
\(771\) | −3.83783e11 | + | 6.64732e11i | −0.0391148 | + | 0.0677488i | ||||
\(772\) | −5.82283e12 | −0.590006 | ||||||||
\(773\) | −2.02049e12 | −0.203539 | −0.101770 | − | 0.994808i | \(-0.532450\pi\) | ||||
−0.101770 | + | 0.994808i | \(0.532450\pi\) | |||||||
\(774\) | 2.52558e12 | + | 7.20026e12i | 0.252945 | + | 0.721131i | ||||
\(775\) | −1.37185e13 | −1.36599 | ||||||||
\(776\) | 3.88642e12 | 0.384744 | ||||||||
\(777\) | 5.85550e12 | − | 1.01420e13i | 0.576327 | − | 0.998228i | ||||
\(778\) | 8.40042e12 | 0.822039 | ||||||||
\(779\) | 1.29710e12 | − | 2.24664e12i | 0.126198 | − | 0.218582i | ||||
\(780\) | 3.15804e12 | − | 5.46989e12i | 0.305486 | − | 0.529118i | ||||
\(781\) | −3.57636e12 | − | 6.19444e12i | −0.343963 | − | 0.595761i | ||||
\(782\) | 1.22876e13 | 1.17500 | ||||||||
\(783\) | 4.10449e12 | + | 7.10919e12i | 0.390240 | + | 0.675915i | ||||
\(784\) | 4.47763e11 | − | 7.75548e11i | 0.0423278 | − | 0.0733139i | ||||
\(785\) | 7.29133e11 | 0.0685320 | ||||||||
\(786\) | 6.03880e12 | − | 1.04595e13i | 0.564351 | − | 0.977485i | ||||
\(787\) | 5.23787e11 | + | 9.07226e11i | 0.0486708 | + | 0.0843004i | 0.889334 | − | 0.457257i | \(-0.151168\pi\) |
−0.840664 | + | 0.541558i | \(0.817835\pi\) | |||||||
\(788\) | 2.61879e12 | + | 4.53587e12i | 0.241953 | + | 0.419076i | ||||
\(789\) | −1.89704e12 | − | 3.28577e12i | −0.174273 | − | 0.301850i | ||||
\(790\) | 2.34857e12 | 0.214527 | ||||||||
\(791\) | 3.93090e12 | + | 6.80852e12i | 0.357024 | + | 0.618384i | ||||
\(792\) | 6.77731e12 | + | 1.17387e13i | 0.612060 | + | 1.06012i | ||||
\(793\) | −1.25576e13 | + | 2.17505e13i | −1.12766 | + | 1.95317i | ||||
\(794\) | 1.61013e12 | − | 2.78883e12i | 0.143771 | − | 0.249018i | ||||
\(795\) | 7.15018e12 | 0.634841 | ||||||||
\(796\) | −1.78743e12 | −0.157804 | ||||||||
\(797\) | 1.98622e12 | − | 3.44024e12i | 0.174367 | − | 0.302013i | −0.765575 | − | 0.643347i | \(-0.777545\pi\) |
0.939942 | + | 0.341334i | \(0.110879\pi\) | |||||||
\(798\) | 5.68423e12 | − | 9.84537e12i | 0.496202 | − | 0.859447i | ||||
\(799\) | 3.02378e12 | + | 5.23734e12i | 0.262476 | + | 0.454622i | ||||
\(800\) | −5.26674e12 | − | 9.12226e12i | −0.454608 | − | 0.787404i | ||||
\(801\) | −5.63868e12 | −0.483984 | ||||||||
\(802\) | 2.80526e12 | + | 4.85885e12i | 0.239435 | + | 0.414714i | ||||
\(803\) | 2.51300e12 | + | 4.35265e12i | 0.213291 | + | 0.369431i | ||||
\(804\) | 5.00013e12 | + | 8.66049e12i | 0.422017 | + | 0.730954i | ||||
\(805\) | 2.27976e12 | − | 3.94866e12i | 0.191341 | − | 0.331412i | ||||
\(806\) | −1.71960e13 | −1.43522 | ||||||||
\(807\) | 1.58083e13 | − | 2.73808e13i | 1.31206 | − | 2.27256i | ||||
\(808\) | −8.16726e10 | − | 1.41461e11i | −0.00674101 | − | 0.0116758i | ||||
\(809\) | 1.54945e13 | 1.27177 | 0.635886 | − | 0.771783i | \(-0.280635\pi\) | ||||
0.635886 | + | 0.771783i | \(0.280635\pi\) | |||||||
\(810\) | 5.79397e11 | + | 1.00355e12i | 0.0472927 | + | 0.0819133i | ||||
\(811\) | −3.12883e12 | + | 5.41929e12i | −0.253973 | + | 0.439895i | −0.964616 | − | 0.263658i | \(-0.915071\pi\) |
0.710643 | + | 0.703553i | \(0.248404\pi\) | |||||||
\(812\) | 4.06709e12 | − | 7.04440e12i | 0.328308 | − | 0.568646i | ||||
\(813\) | −1.90723e13 | −1.53107 | ||||||||
\(814\) | −3.54345e12 | + | 6.13743e12i | −0.282889 | + | 0.489979i | ||||
\(815\) | 1.20172e11 | 0.00954100 | ||||||||
\(816\) | 4.30441e12 | 0.339866 | ||||||||
\(817\) | 1.37430e13 | − | 1.59940e13i | 1.07915 | − | 1.25591i | ||||
\(818\) | 9.42718e12 | 0.736193 | ||||||||
\(819\) | 2.04780e13 | 1.59041 | ||||||||
\(820\) | −2.35878e11 | + | 4.08552e11i | −0.0182190 | + | 0.0315563i | ||||
\(821\) | 2.21983e13 | 1.70520 | 0.852601 | − | 0.522562i | \(-0.175024\pi\) | ||||
0.852601 | + | 0.522562i | \(0.175024\pi\) | |||||||
\(822\) | −4.30195e11 | + | 7.45120e11i | −0.0328657 | + | 0.0569250i | ||||
\(823\) | 1.64851e12 | − | 2.85530e12i | 0.125254 | − | 0.216947i | −0.796578 | − | 0.604536i | \(-0.793359\pi\) |
0.921832 | + | 0.387589i | \(0.126692\pi\) | |||||||
\(824\) | −1.08217e13 | − | 1.87438e13i | −0.817757 | − | 1.41640i | ||||
\(825\) | −1.70926e13 | −1.28459 | ||||||||
\(826\) | −2.31505e12 | − | 4.00979e12i | −0.173042 | − | 0.299717i | ||||
\(827\) | 6.37021e12 | − | 1.10335e13i | 0.473564 | − | 0.820238i | −0.525978 | − | 0.850498i | \(-0.676300\pi\) |
0.999542 | + | 0.0302608i | \(0.00963378\pi\) | |||||||
\(828\) | −2.02241e13 | −1.49532 | ||||||||
\(829\) | −2.86966e11 | + | 4.97039e11i | −0.0211025 | + | 0.0365507i | −0.876384 | − | 0.481613i | \(-0.840051\pi\) |
0.855281 | + | 0.518164i | \(0.173384\pi\) | |||||||
\(830\) | 1.59163e11 | + | 2.75678e11i | 0.0116410 | + | 0.0201628i | ||||
\(831\) | −7.42039e12 | − | 1.28525e13i | −0.539787 | − | 0.934938i | ||||
\(832\) | −4.70550e12 | − | 8.15016e12i | −0.340448 | − | 0.589673i | ||||
\(833\) | 9.49548e12 | 0.683305 | ||||||||
\(834\) | 6.58788e12 | + | 1.14105e13i | 0.471518 | + | 0.816694i | ||||
\(835\) | −3.69955e12 | − | 6.40781e12i | −0.263366 | − | 0.456164i | ||||
\(836\) | 7.64506e12 | − | 1.32416e13i | 0.541318 | − | 0.937591i | ||||
\(837\) | 6.31231e12 | − | 1.09332e13i | 0.444553 | − | 0.769988i | ||||
\(838\) | 7.03628e12 | 0.492885 | ||||||||
\(839\) | −5.21831e12 | −0.363581 | −0.181790 | − | 0.983337i | \(-0.558189\pi\) | ||||
−0.181790 | + | 0.983337i | \(0.558189\pi\) | |||||||
\(840\) | −2.53245e12 | + | 4.38634e12i | −0.175503 | + | 0.303980i | ||||
\(841\) | −6.21855e12 | + | 1.07708e13i | −0.428654 | + | 0.742451i | ||||
\(842\) | −4.57216e12 | − | 7.91921e12i | −0.313485 | − | 0.542972i | ||||
\(843\) | 3.69267e12 | + | 6.39590e12i | 0.251835 | + | 0.436192i | ||||
\(844\) | 2.15037e12 | 0.145872 | ||||||||
\(845\) | 4.50508e12 | + | 7.80302e12i | 0.303981 | + | 0.526511i | ||||
\(846\) | 2.23927e12 | + | 3.87852e12i | 0.150293 | + | 0.260315i | ||||
\(847\) | 5.29976e11 | + | 9.17945e11i | 0.0353819 | + | 0.0612832i | ||||
\(848\) | −1.48057e12 | + | 2.56443e12i | −0.0983215 | + | 0.170298i | ||||
\(849\) | −4.39448e12 | −0.290284 | ||||||||
\(850\) | 4.97773e12 | − | 8.62168e12i | 0.327074 | − | 0.566509i | ||||
\(851\) | −1.29528e13 | − | 2.24349e13i | −0.846605 | − | 1.46636i | ||||
\(852\) | −1.18551e13 | −0.770776 | ||||||||
\(853\) | −1.41263e12 | − | 2.44674e12i | −0.0913602 | − | 0.158241i | 0.816724 | − | 0.577029i | \(-0.195788\pi\) |
−0.908084 | + | 0.418789i | \(0.862455\pi\) | |||||||
\(854\) | 4.11033e12 | − | 7.11930e12i | 0.264433 | − | 0.458012i | ||||
\(855\) | −6.15169e12 | + | 1.06550e13i | −0.393683 | + | 0.681879i | ||||
\(856\) | −7.81915e12 | −0.497768 | ||||||||
\(857\) | −1.14805e13 | + | 1.98848e13i | −0.727021 | + | 1.25924i | 0.231115 | + | 0.972926i | \(0.425763\pi\) |
−0.958137 | + | 0.286311i | \(0.907571\pi\) | |||||||
\(858\) | −2.14255e13 | −1.34970 | ||||||||
\(859\) | 2.96863e13 | 1.86031 | 0.930157 | − | 0.367162i | \(-0.119671\pi\) | ||||
0.930157 | + | 0.367162i | \(0.119671\pi\) | |||||||
\(860\) | −2.49917e12 | + | 2.90852e12i | −0.155795 | + | 0.181313i | ||||
\(861\) | −2.64446e12 | −0.163992 | ||||||||
\(862\) | −1.38588e13 | −0.854956 | ||||||||
\(863\) | −4.55749e12 | + | 7.89380e12i | −0.279690 | + | 0.484437i | −0.971308 | − | 0.237827i | \(-0.923565\pi\) |
0.691618 | + | 0.722264i | \(0.256898\pi\) | |||||||
\(864\) | 9.69359e12 | 0.591797 | ||||||||
\(865\) | 3.18583e12 | − | 5.51801e12i | 0.193486 | − | 0.335128i | ||||
\(866\) | 3.13780e12 | − | 5.43483e12i | 0.189581 | − | 0.328364i | ||||
\(867\) | 1.00088e13 | + | 1.73358e13i | 0.601586 | + | 1.04198i | ||||
\(868\) | −1.25096e13 | −0.748003 | ||||||||
\(869\) | 8.85325e12 | + | 1.53343e13i | 0.526640 | + | 0.912167i | ||||
\(870\) | 3.42404e12 | − | 5.93061e12i | 0.202629 | − | 0.350964i | ||||
\(871\) | −2.23990e13 | −1.31871 | ||||||||
\(872\) | 6.28314e11 | − | 1.08827e12i | 0.0368004 | − | 0.0637402i | ||||
\(873\) | −4.81179e12 | − | 8.33427e12i | −0.280377 | − | 0.485628i | ||||
\(874\) | −1.25739e13 | − | 2.17787e13i | −0.728904 | − | 1.26250i | ||||
\(875\) | −3.94634e12 | − | 6.83526e12i | −0.227593 | − | 0.394202i | ||||
\(876\) | 8.33024e12 | 0.477957 | ||||||||
\(877\) | −2.74446e12 | − | 4.75354e12i | −0.156660 | − | 0.271344i | 0.777002 | − | 0.629498i | \(-0.216739\pi\) |
−0.933662 | + | 0.358155i | \(0.883406\pi\) | |||||||
\(878\) | 9.44480e12 | + | 1.63589e13i | 0.536373 | + | 0.929026i | ||||
\(879\) | −1.59663e13 | + | 2.76545e13i | −0.902101 | + | 1.56249i | ||||
\(880\) | −4.83278e11 | + | 8.37062e11i | −0.0271659 | + | 0.0470528i | ||||
\(881\) | 1.48607e13 | 0.831092 | 0.415546 | − | 0.909572i | \(-0.363591\pi\) | ||||
0.415546 | + | 0.909572i | \(0.363591\pi\) | |||||||
\(882\) | 7.03189e12 | 0.391258 | ||||||||
\(883\) | 1.19998e13 | − | 2.07842e13i | 0.664279 | − | 1.15056i | −0.315201 | − | 0.949025i | \(-0.602072\pi\) |
0.979480 | − | 0.201540i | \(-0.0645946\pi\) | |||||||
\(884\) | −1.38675e13 | + | 2.40193e13i | −0.763773 | + | 1.32289i | ||||
\(885\) | 4.33175e12 | + | 7.50282e12i | 0.237366 | + | 0.411130i | ||||
\(886\) | 8.51653e12 | + | 1.47511e13i | 0.464313 | + | 0.804214i | ||||
\(887\) | −9.78451e11 | −0.0530741 | −0.0265371 | − | 0.999648i | \(-0.508448\pi\) | ||||
−0.0265371 | + | 0.999648i | \(0.508448\pi\) | |||||||
\(888\) | 1.43885e13 | + | 2.49217e13i | 0.776529 | + | 1.34499i | ||||
\(889\) | 9.94685e12 | + | 1.72285e13i | 0.534106 | + | 0.925099i | ||||
\(890\) | 6.37520e11 | + | 1.10422e12i | 0.0340595 | + | 0.0589929i | ||||
\(891\) | −4.36823e12 | + | 7.56600e12i | −0.232197 | + | 0.402176i | ||||
\(892\) | 5.72181e12 | 0.302616 | ||||||||
\(893\) | 6.18848e12 | − | 1.07188e13i | 0.325651 | − | 0.564044i | ||||
\(894\) | 2.00173e12 | + | 3.46710e12i | 0.104806 | + | 0.181530i | ||||
\(895\) | 4.45355e12 | 0.232008 | ||||||||
\(896\) | −5.42332e12 | − | 9.39347e12i | −0.281112 | − | 0.486900i | ||||
\(897\) | 3.91595e13 | − | 6.78263e13i | 2.01963 | − | 3.49810i | ||||
\(898\) | −6.85730e12 | + | 1.18772e13i | −0.351892 | + | 0.609495i | ||||
\(899\) | 4.14376e13 | 2.11581 | ||||||||
\(900\) | −8.19283e12 | + | 1.41904e13i | −0.416239 | + | 0.720947i | ||||
\(901\) | −3.13978e13 | −1.58722 | ||||||||
\(902\) | 1.60029e12 | 0.0804952 | ||||||||
\(903\) | −2.11243e13 | − | 3.98043e12i | −1.05727 | − | 0.199221i | ||||
\(904\) | −1.93185e13 | −0.962092 | ||||||||
\(905\) | 6.98182e12 | 0.345979 | ||||||||
\(906\) | 1.66410e13 | − | 2.88231e13i | 0.820547 | − | 1.42123i | ||||
\(907\) | −1.70833e13 | −0.838183 | −0.419091 | − | 0.907944i | \(-0.637651\pi\) | ||||
−0.419091 | + | 0.907944i | \(0.637651\pi\) | |||||||
\(908\) | 5.30886e12 | − | 9.19521e12i | 0.259188 | − | 0.448927i | ||||
\(909\) | −2.02238e11 | + | 3.50287e11i | −0.00982486 | + | 0.0170172i | ||||
\(910\) | −2.31528e12 | − | 4.01019e12i | −0.111923 | − | 0.193856i | ||||
\(911\) | 7.10323e12 | 0.341683 | 0.170841 | − | 0.985299i | \(-0.445351\pi\) | ||||
0.170841 | + | 0.985299i | \(0.445351\pi\) | |||||||
\(912\) | −4.40471e12 | − | 7.62918e12i | −0.210834 | − | 0.365175i | ||||
\(913\) | −1.19997e12 | + | 2.07841e12i | −0.0571547 | + | 0.0989948i | ||||
\(914\) | −2.47721e12 | −0.117410 | ||||||||
\(915\) | −7.69094e12 | + | 1.33211e13i | −0.362731 | + | 0.628268i | ||||
\(916\) | −2.47109e12 | − | 4.28005e12i | −0.115973 | − | 0.200872i | ||||
\(917\) | 9.83975e12 | + | 1.70429e13i | 0.459539 | + | 0.795944i | ||||
\(918\) | 4.58083e12 | + | 7.93423e12i | 0.212889 | + | 0.368734i | ||||
\(919\) | 1.05945e13 | 0.489959 | 0.244979 | − | 0.969528i | \(-0.421219\pi\) | ||||
0.244979 | + | 0.969528i | \(0.421219\pi\) | |||||||
\(920\) | 5.60198e12 | + | 9.70291e12i | 0.257808 | + | 0.446536i | ||||
\(921\) | 2.83367e12 | + | 4.90806e12i | 0.129772 | + | 0.224772i | ||||
\(922\) | 4.82318e12 | − | 8.35399e12i | 0.219808 | − | 0.380719i | ||||
\(923\) | 1.32768e13 | − | 2.29961e13i | 0.602125 | − | 1.04291i | ||||
\(924\) | −1.55864e13 | −0.703431 | ||||||||
\(925\) | −2.09888e13 | −0.942649 | ||||||||
\(926\) | 4.78977e12 | − | 8.29613e12i | 0.214075 | − | 0.370788i | ||||
\(927\) | −2.67969e13 | + | 4.64136e13i | −1.19186 | + | 2.06436i | ||||
\(928\) | 1.59086e13 | + | 2.75545e13i | 0.704151 | + | 1.21962i | ||||
\(929\) | 1.50787e13 | + | 2.61171e13i | 0.664191 | + | 1.15041i | 0.979504 | + | 0.201425i | \(0.0645571\pi\) |
−0.315313 | + | 0.948988i | \(0.602110\pi\) | |||||||
\(930\) | −1.05317e13 | −0.461662 | ||||||||
\(931\) | −9.71674e12 | − | 1.68299e13i | −0.423884 | − | 0.734189i | ||||
\(932\) | −3.20326e12 | − | 5.54820e12i | −0.139066 | − | 0.240869i | ||||
\(933\) | 1.40532e13 | + | 2.43408e13i | 0.607165 | + | 1.05164i | ||||
\(934\) | −6.82437e12 | + | 1.18202e13i | −0.293428 | + | 0.508232i | ||||
\(935\) | −1.02486e13 | −0.438545 | ||||||||
\(936\) | −2.51600e13 | + | 4.35784e13i | −1.07144 | + | 1.85579i | ||||
\(937\) | −1.73819e13 | − | 3.01063e13i | −0.736662 | − | 1.27594i | −0.953990 | − | 0.299838i | \(-0.903068\pi\) |
0.217328 | − | 0.976099i | \(-0.430266\pi\) | |||||||
\(938\) | 7.33159e12 | 0.309233 | ||||||||
\(939\) | −7.53466e11 | − | 1.30504e12i | −0.0316277 | − | 0.0547809i | ||||
\(940\) | −1.12538e12 | + | 1.94921e12i | −0.0470136 | + | 0.0814299i | ||||
\(941\) | 1.13674e13 | − | 1.96890e13i | 0.472617 | − | 0.818597i | −0.526892 | − | 0.849932i | \(-0.676643\pi\) |
0.999509 | + | 0.0313356i | \(0.00997607\pi\) | |||||||
\(942\) | −4.09944e12 | −0.169627 | ||||||||
\(943\) | −2.92487e12 | + | 5.06603e12i | −0.120449 | + | 0.208624i | ||||
\(944\) | −3.58787e12 | −0.147049 | ||||||||
\(945\) | 3.39958e12 | 0.138670 | ||||||||
\(946\) | 1.27833e13 | + | 2.40875e12i | 0.518960 | + | 0.0977872i | ||||
\(947\) | −4.16853e13 | −1.68425 | −0.842127 | − | 0.539279i | \(-0.818697\pi\) | ||||
−0.842127 | + | 0.539279i | \(0.818697\pi\) | |||||||
\(948\) | 2.93473e13 | 1.18013 | ||||||||
\(949\) | −9.32922e12 | + | 1.61587e13i | −0.373377 | + | 0.646708i | ||||
\(950\) | −2.03749e13 | −0.811594 | ||||||||
\(951\) | −1.57324e13 | + | 2.72492e13i | −0.623708 | + | 1.08029i | ||||
\(952\) | 1.11205e13 | − | 1.92612e13i | 0.438790 | − | 0.760007i | ||||
\(953\) | −7.86964e12 | − | 1.36306e13i | −0.309056 | − | 0.535300i | 0.669100 | − | 0.743172i | \(-0.266680\pi\) |
−0.978156 | + | 0.207872i | \(0.933346\pi\) | |||||||
\(954\) | −2.32517e13 | −0.908838 | ||||||||
\(955\) | 3.36538e12 | + | 5.82900e12i | 0.130924 | + | 0.226767i | ||||
\(956\) | −1.02433e13 | + | 1.77420e13i | −0.396625 | + | 0.686975i | ||||
\(957\) | 5.16295e13 | 1.98973 | ||||||||
\(958\) | 1.33009e12 | − | 2.30379e12i | 0.0510196 | − | 0.0883685i | ||||
\(959\) | −7.00969e11 | − | 1.21411e12i | −0.0267618 | − | 0.0463528i | ||||
\(960\) | −2.88189e12 | − | 4.99157e12i | −0.109511 | − | 0.189678i | ||||
\(961\) | −1.86437e13 | − | 3.22918e13i | −0.705141 | − | 1.22134i | ||||
\(962\) | −2.63093e13 | −0.990424 | ||||||||
\(963\) | 9.68093e12 | + | 1.67679e13i | 0.362743 | + | 0.628289i | ||||
\(964\) | −4.92397e12 | − | 8.52857e12i | −0.183641 | − | 0.318075i | ||||
\(965\) | 3.99386e12 | − | 6.91757e12i | 0.148259 | − | 0.256792i | ||||
\(966\) | −1.28176e13 | + | 2.22007e13i | −0.473597 | + | 0.820294i | ||||
\(967\) | −3.12658e13 | −1.14987 | −0.574937 | − | 0.818197i | \(-0.694974\pi\) | ||||
−0.574937 | + | 0.818197i | \(0.694974\pi\) | |||||||
\(968\) | −2.60459e12 | −0.0953454 | ||||||||
\(969\) | 4.67042e13 | − | 8.08941e13i | 1.70176 | − | 2.94754i | ||||
\(970\) | −1.08806e12 | + | 1.88458e12i | −0.0394621 | + | 0.0683504i | ||||
\(971\) | 9.22652e12 | + | 1.59808e13i | 0.333082 | + | 0.576915i | 0.983115 | − | 0.182991i | \(-0.0585781\pi\) |
−0.650032 | + | 0.759906i | \(0.725245\pi\) | |||||||
\(972\) | 1.27359e13 | + | 2.20593e13i | 0.457649 | + | 0.792671i | ||||
\(973\) | −2.14689e13 | −0.767894 | ||||||||
\(974\) | −3.98999e12 | − | 6.91086e12i | −0.142055 | − | 0.246046i | ||||
\(975\) | −3.17272e13 | − | 5.49531e13i | −1.12437 | − | 1.94747i | ||||
\(976\) | −3.18510e12 | − | 5.51675e12i | −0.112357 | − | 0.194607i | ||||
\(977\) | −1.62632e13 | + | 2.81686e13i | −0.571057 | + | 0.989100i | 0.425400 | + | 0.905005i | \(0.360133\pi\) |
−0.996458 | + | 0.0840950i | \(0.973200\pi\) | |||||||
\(978\) | −6.75648e11 | −0.0236154 | ||||||||
\(979\) | −4.80644e12 | + | 8.32499e12i | −0.167225 | + | 0.289642i | ||||
\(980\) | 1.76700e12 | + | 3.06053e12i | 0.0611953 | + | 0.105993i | ||||
\(981\) | −3.11168e12 | −0.107271 | ||||||||
\(982\) | 8.22271e12 | + | 1.42421e13i | 0.282171 | + | 0.488735i | ||||
\(983\) | 1.91205e13 | − | 3.31176e13i | 0.653142 | − | 1.13128i | −0.329214 | − | 0.944255i | \(-0.606784\pi\) |
0.982356 | − | 0.187020i | \(-0.0598830\pi\) | |||||||
\(984\) | 3.24907e12 | − | 5.62756e12i | 0.110479 | − | 0.191356i | ||||
\(985\) | −7.18487e12 | −0.243196 | ||||||||
\(986\) | −1.50356e13 | + | 2.60424e13i | −0.506611 | + | 0.877477i | ||||
\(987\) | −1.26168e13 | −0.423176 | ||||||||
\(988\) | 5.67628e13 | 1.89521 | ||||||||
\(989\) | −3.09896e13 | + | 3.60655e13i | −1.02999 | + | 1.19870i | ||||
\(990\) | −7.58964e12 | −0.251109 | ||||||||
\(991\) | 1.13951e13 | 0.375307 | 0.187653 | − | 0.982235i | \(-0.439912\pi\) | ||||
0.187653 | + | 0.982235i | \(0.439912\pi\) | |||||||
\(992\) | 2.44658e13 | − | 4.23761e13i | 0.802154 | − | 1.38937i | ||||
\(993\) | −2.63881e12 | −0.0861265 | ||||||||
\(994\) | −4.34573e12 | + | 7.52702e12i | −0.141196 | + | 0.244559i | ||||
\(995\) | 1.22599e12 | − | 2.12348e12i | 0.0396536 | − | 0.0686821i | ||||
\(996\) | 1.98887e12 | + | 3.44482e12i | 0.0640381 | + | 0.110917i | ||||
\(997\) | 4.43912e13 | 1.42288 | 0.711440 | − | 0.702746i | \(-0.248043\pi\) | ||||
0.711440 | + | 0.702746i | \(0.248043\pi\) | |||||||
\(998\) | 1.21898e13 | + | 2.11133e13i | 0.388963 | + | 0.673704i | ||||
\(999\) | 9.65763e12 | − | 1.67275e13i | 0.306779 | − | 0.531357i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.c.a.6.12 | ✓ | 64 | |
43.36 | even | 3 | inner | 43.10.c.a.36.12 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.12 | ✓ | 64 | 1.1 | even | 1 | trivial | |
43.10.c.a.36.12 | yes | 64 | 43.36 | even | 3 | inner |