Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.16 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.10.g.a.9.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.71937 | + | 4.66394i | −0.164374 | + | 0.206119i | −0.857196 | − | 0.514990i | \(-0.827796\pi\) |
0.692822 | + | 0.721109i | \(0.256367\pi\) | |||||||
\(3\) | 263.417 | − | 39.7037i | 1.87758 | − | 0.282999i | 0.891975 | − | 0.452085i | \(-0.149319\pi\) |
0.985601 | + | 0.169085i | \(0.0540814\pi\) | |||||||
\(4\) | 106.012 | + | 464.469i | 0.207055 | + | 0.907167i | ||||
\(5\) | 1636.60 | − | 1115.81i | 1.17105 | − | 0.798411i | 0.188079 | − | 0.982154i | \(-0.439774\pi\) |
0.982974 | + | 0.183743i | \(0.0588215\pi\) | |||||||
\(6\) | −794.568 | + | 1376.23i | −0.250294 | + | 0.433522i | ||||
\(7\) | 3931.83 | + | 6810.12i | 0.618946 | + | 1.07205i | 0.989678 | + | 0.143307i | \(0.0457735\pi\) |
−0.370732 | + | 0.928740i | \(0.620893\pi\) | |||||||
\(8\) | −5312.37 | − | 2558.30i | −0.458547 | − | 0.220824i | ||||
\(9\) | 49003.4 | − | 15115.6i | 2.48963 | − | 0.767950i | ||||
\(10\) | −883.022 | + | 11783.1i | −0.0279236 | + | 0.372614i | ||||
\(11\) | −7627.38 | + | 33417.7i | −0.157075 | + | 0.688192i | 0.833648 | + | 0.552297i | \(0.186248\pi\) |
−0.990723 | + | 0.135896i | \(0.956609\pi\) | |||||||
\(12\) | 46366.5 | + | 118140.i | 0.645489 | + | 1.64468i | ||||
\(13\) | −1316.81 | − | 17571.6i | −0.0127873 | − | 0.170634i | −0.999941 | − | 0.0108609i | \(-0.996543\pi\) |
0.987154 | − | 0.159773i | \(-0.0510763\pi\) | |||||||
\(14\) | −46385.9 | − | 6991.55i | −0.322708 | − | 0.0486404i | ||||
\(15\) | 386805. | − | 358903.i | 1.97279 | − | 1.83048i | ||||
\(16\) | −188077. | + | 90573.3i | −0.717459 | + | 0.345510i | ||||
\(17\) | −321648. | − | 219296.i | −0.934030 | − | 0.636811i | −0.00231384 | − | 0.999997i | \(-0.500737\pi\) |
−0.931717 | + | 0.363186i | \(0.881689\pi\) | |||||||
\(18\) | −111764. | + | 284769.i | −0.250943 | + | 0.639392i | ||||
\(19\) | −511241. | − | 157697.i | −0.899983 | − | 0.277608i | −0.189965 | − | 0.981791i | \(-0.560837\pi\) |
−0.710019 | + | 0.704183i | \(0.751314\pi\) | |||||||
\(20\) | 691760. | + | 641859.i | 0.966764 | + | 0.897026i | ||||
\(21\) | 1.30610e6 | + | 1.63779e6i | 1.46551 | + | 1.83769i | ||||
\(22\) | −127489. | − | 159866.i | −0.116030 | − | 0.145497i | ||||
\(23\) | −1.84656e6 | − | 1.71335e6i | −1.37590 | − | 1.27665i | −0.922848 | − | 0.385165i | \(-0.874144\pi\) |
−0.453053 | − | 0.891484i | \(-0.649665\pi\) | |||||||
\(24\) | −1.50094e6 | − | 462979.i | −0.923449 | − | 0.284846i | ||||
\(25\) | 719854. | − | 1.83416e6i | 0.368565 | − | 0.939089i | ||||
\(26\) | 86850.5 | + | 59213.6i | 0.0372728 | + | 0.0254122i | ||||
\(27\) | 7.58404e6 | − | 3.65228e6i | 2.74640 | − | 1.32260i | ||||
\(28\) | −2.74627e6 | + | 2.54817e6i | −0.844369 | + | 0.783460i | ||||
\(29\) | 2.09856e6 | + | 316307.i | 0.550973 | + | 0.0830459i | 0.418628 | − | 0.908158i | \(-0.362511\pi\) |
0.132345 | + | 0.991204i | \(0.457749\pi\) | |||||||
\(30\) | 235230. | + | 3.13893e6i | 0.0530209 | + | 0.707514i | ||||
\(31\) | 2.43461e6 | + | 6.20328e6i | 0.473480 | + | 1.20641i | 0.945733 | + | 0.324944i | \(0.105345\pi\) |
−0.472254 | + | 0.881463i | \(0.656559\pi\) | |||||||
\(32\) | 948869. | − | 4.15727e6i | 0.159967 | − | 0.700863i | ||||
\(33\) | −682372. | + | 9.10562e6i | −0.100163 | + | 1.33659i | ||||
\(34\) | 2.21911e6 | − | 684505.i | 0.284789 | − | 0.0878459i | ||||
\(35\) | 1.40336e7 | + | 6.75824e6i | 1.58075 | + | 0.761250i | ||||
\(36\) | 1.22157e7 | + | 2.11582e7i | 1.21215 | + | 2.09950i | ||||
\(37\) | −1.62733e6 | + | 2.81862e6i | −0.142747 | + | 0.247245i | −0.928530 | − | 0.371257i | \(-0.878927\pi\) |
0.785783 | + | 0.618502i | \(0.212260\pi\) | |||||||
\(38\) | 2.63698e6 | − | 1.79786e6i | 0.205154 | − | 0.139872i | ||||
\(39\) | −1.04453e6 | − | 4.57636e6i | −0.0722983 | − | 0.316760i | ||||
\(40\) | −1.15488e7 | + | 1.74070e6i | −0.713291 | + | 0.107511i | ||||
\(41\) | 2.88454e6 | − | 3.61710e6i | 0.159422 | − | 0.199909i | −0.695705 | − | 0.718328i | \(-0.744908\pi\) |
0.855127 | + | 0.518419i | \(0.173479\pi\) | |||||||
\(42\) | −1.24964e7 | −0.619674 | ||||||||
\(43\) | 9.91424e6 | + | 2.01072e7i | 0.442233 | + | 0.896900i | ||||
\(44\) | −1.63301e7 | −0.656828 | ||||||||
\(45\) | 6.33327e7 | − | 7.94167e7i | 2.30235 | − | 2.88706i | ||||
\(46\) | 1.48590e7 | − | 2.23963e6i | 0.489304 | − | 0.0737508i | ||||
\(47\) | −5.82225e6 | − | 2.55090e7i | −0.174041 | − | 0.762522i | −0.984308 | − | 0.176461i | \(-0.943535\pi\) |
0.810267 | − | 0.586061i | \(-0.199322\pi\) | |||||||
\(48\) | −4.59466e7 | + | 3.13259e7i | −1.24930 | + | 0.851761i | ||||
\(49\) | −1.07417e7 | + | 1.86052e7i | −0.266189 | + | 0.461053i | ||||
\(50\) | 5.87700e6 | + | 1.01793e7i | 0.132981 | + | 0.230330i | ||||
\(51\) | −9.34344e7 | − | 4.49956e7i | −1.93393 | − | 0.931332i | ||||
\(52\) | 8.02186e6 | − | 2.47442e6i | 0.152146 | − | 0.0469308i | ||||
\(53\) | 8.26931e6 | − | 1.10346e8i | 0.143955 | − | 1.92095i | −0.196167 | − | 0.980570i | \(-0.562850\pi\) |
0.340123 | − | 0.940381i | \(-0.389531\pi\) | |||||||
\(54\) | −1.11738e7 | + | 4.89557e7i | −0.178826 | + | 0.783486i | ||||
\(55\) | 2.48050e7 | + | 6.32021e7i | 0.365516 | + | 0.931320i | ||||
\(56\) | −3.46496e6 | − | 4.62367e7i | −0.0470817 | − | 0.628262i | ||||
\(57\) | −1.40931e8 | − | 2.12419e7i | −1.76835 | − | 0.266536i | ||||
\(58\) | −9.28056e6 | + | 8.61110e6i | −0.107683 | + | 0.0999154i | ||||
\(59\) | 4.19367e6 | − | 2.01956e6i | 0.0450568 | − | 0.0216982i | −0.411220 | − | 0.911536i | \(-0.634897\pi\) |
0.456276 | + | 0.889838i | \(0.349183\pi\) | |||||||
\(60\) | 2.07705e8 | + | 1.41611e8i | 2.06903 | + | 1.41064i | ||||
\(61\) | −2.55321e7 | + | 6.50547e7i | −0.236103 | + | 0.601581i | −0.998989 | − | 0.0449518i | \(-0.985687\pi\) |
0.762886 | + | 0.646533i | \(0.223782\pi\) | |||||||
\(62\) | −3.79869e7 | − | 1.17174e7i | −0.326491 | − | 0.100709i | ||||
\(63\) | 2.95612e8 | + | 2.74288e8i | 2.36423 | + | 2.19368i | ||||
\(64\) | −5.07786e7 | − | 6.36744e7i | −0.378330 | − | 0.474411i | ||||
\(65\) | −2.17617e7 | − | 2.72883e7i | −0.151211 | − | 0.189612i | ||||
\(66\) | −3.99301e7 | − | 3.70497e7i | −0.259031 | − | 0.240346i | ||||
\(67\) | 6.26418e7 | + | 1.93224e7i | 0.379776 | + | 0.117145i | 0.478765 | − | 0.877943i | \(-0.341085\pi\) |
−0.0989890 | + | 0.995089i | \(0.531561\pi\) | |||||||
\(68\) | 6.77577e7 | − | 1.72644e8i | 0.384298 | − | 0.979176i | ||||
\(69\) | −5.54440e8 | − | 3.78011e8i | −2.94465 | − | 2.00763i | ||||
\(70\) | −8.37163e7 | + | 4.03156e7i | −0.416743 | + | 0.200693i | ||||
\(71\) | −9.05191e7 | + | 8.39894e7i | −0.422744 | + | 0.392249i | −0.862655 | − | 0.505792i | \(-0.831200\pi\) |
0.439911 | + | 0.898041i | \(0.355010\pi\) | |||||||
\(72\) | −2.98995e8 | − | 4.50662e7i | −1.31119 | − | 0.197631i | ||||
\(73\) | 1.72323e6 | + | 2.29949e7i | 0.00710215 | + | 0.0947716i | 0.999628 | − | 0.0272599i | \(-0.00867817\pi\) |
−0.992526 | + | 0.122031i | \(0.961059\pi\) | |||||||
\(74\) | −7.09322e6 | − | 1.80732e7i | −0.0274980 | − | 0.0700637i | ||||
\(75\) | 1.16799e8 | − | 5.11729e8i | 0.426248 | − | 1.86751i | ||||
\(76\) | 1.90477e7 | − | 2.54174e8i | 0.0654909 | − | 0.873915i | ||||
\(77\) | −2.57568e8 | + | 7.94493e7i | −0.834995 | + | 0.257562i | ||||
\(78\) | 2.52289e7 | + | 1.21496e7i | 0.0771742 | + | 0.0371651i | ||||
\(79\) | 2.30019e8 | + | 3.98405e8i | 0.664419 | + | 1.15081i | 0.979442 | + | 0.201724i | \(0.0646544\pi\) |
−0.315023 | + | 0.949084i | \(0.602012\pi\) | |||||||
\(80\) | −2.06744e8 | + | 3.58091e8i | −0.564323 | + | 0.977437i | ||||
\(81\) | 1.01877e9 | − | 6.94583e8i | 2.62961 | − | 1.79284i | ||||
\(82\) | 6.14126e6 | + | 2.69066e7i | 0.0150001 | + | 0.0657199i | ||||
\(83\) | 3.22178e7 | − | 4.85605e6i | 0.0745150 | − | 0.0112313i | −0.111679 | − | 0.993744i | \(-0.535623\pi\) |
0.186194 | + | 0.982513i | \(0.440385\pi\) | |||||||
\(84\) | −6.22242e8 | + | 7.80267e8i | −1.36365 | + | 1.70996i | ||||
\(85\) | −7.71102e8 | −1.60224 | ||||||||
\(86\) | −1.30654e8 | − | 2.85467e7i | −0.257560 | − | 0.0562747i | ||||
\(87\) | 5.65355e8 | 1.05800 | ||||||||
\(88\) | 1.26012e8 | − | 1.58014e8i | 0.223996 | − | 0.280882i | ||||
\(89\) | −5.54771e8 | + | 8.36183e7i | −0.937257 | + | 0.141269i | −0.599870 | − | 0.800097i | \(-0.704781\pi\) |
−0.337387 | + | 0.941366i | \(0.609543\pi\) | |||||||
\(90\) | 1.34837e8 | + | 5.90760e8i | 0.216630 | + | 0.949117i | ||||
\(91\) | 1.14487e8 | − | 7.80560e7i | 0.175013 | − | 0.119322i | ||||
\(92\) | 6.00043e8 | − | 1.03930e9i | 0.873246 | − | 1.51251i | ||||
\(93\) | 8.87609e8 | + | 1.53738e9i | 1.23041 | + | 2.13113i | ||||
\(94\) | 1.40627e8 | + | 6.77225e7i | 0.185778 | + | 0.0894660i | ||||
\(95\) | −1.01266e9 | + | 3.12363e8i | −1.27557 | + | 0.393462i | ||||
\(96\) | 8.48891e7 | − | 1.13277e9i | 0.102007 | − | 1.36119i | ||||
\(97\) | 1.12527e8 | − | 4.93014e8i | 0.129058 | − | 0.565440i | −0.868506 | − | 0.495679i | \(-0.834919\pi\) |
0.997564 | − | 0.0697611i | \(-0.0222237\pi\) | |||||||
\(98\) | −4.68211e7 | − | 1.19298e8i | −0.0512771 | − | 0.130652i | ||||
\(99\) | 1.31360e8 | + | 1.75288e9i | 0.137437 | + | 1.83397i | ||||
\(100\) | 9.28223e8 | + | 1.39907e8i | 0.928223 | + | 0.139907i | ||||
\(101\) | 1.06044e9 | − | 9.83947e8i | 1.01401 | − | 0.940862i | 0.0157505 | − | 0.999876i | \(-0.494986\pi\) |
0.998257 | + | 0.0590144i | \(0.0187958\pi\) | |||||||
\(102\) | 5.57374e8 | − | 2.68417e8i | 0.509854 | − | 0.245533i | ||||
\(103\) | −1.72014e9 | − | 1.17277e9i | −1.50590 | − | 1.02671i | −0.984895 | − | 0.173151i | \(-0.944605\pi\) |
−0.521005 | − | 0.853554i | \(-0.674443\pi\) | |||||||
\(104\) | −3.79580e7 | + | 9.67155e7i | −0.0318166 | + | 0.0810674i | ||||
\(105\) | 3.96502e9 | + | 1.22305e9i | 3.18342 | + | 0.981954i | ||||
\(106\) | 4.83892e8 | + | 4.48986e8i | 0.372282 | + | 0.345427i | ||||
\(107\) | 3.67341e8 | + | 4.60632e8i | 0.270921 | + | 0.339724i | 0.898617 | − | 0.438735i | \(-0.144573\pi\) |
−0.627696 | + | 0.778459i | \(0.716002\pi\) | |||||||
\(108\) | 2.50037e9 | + | 3.13537e9i | 1.76847 | + | 2.21759i | ||||
\(109\) | −1.24588e9 | − | 1.15601e9i | −0.845392 | − | 0.784409i | 0.133011 | − | 0.991115i | \(-0.457535\pi\) |
−0.978403 | + | 0.206705i | \(0.933726\pi\) | |||||||
\(110\) | −3.87029e8 | − | 1.19383e8i | −0.252044 | − | 0.0777454i | ||||
\(111\) | −3.16756e8 | + | 8.07082e8i | −0.198049 | + | 0.504620i | ||||
\(112\) | −1.35630e9 | − | 9.24712e8i | −0.814471 | − | 0.555297i | ||||
\(113\) | 6.12005e8 | − | 2.94726e8i | 0.353103 | − | 0.170046i | −0.248920 | − | 0.968524i | \(-0.580076\pi\) |
0.602023 | + | 0.798478i | \(0.294361\pi\) | |||||||
\(114\) | 6.23243e8 | − | 5.78285e8i | 0.345610 | − | 0.320679i | ||||
\(115\) | −4.93385e9 | − | 7.43658e8i | −2.63054 | − | 0.396490i | ||||
\(116\) | 7.55579e7 | + | 1.00825e9i | 0.0387453 | + | 0.517020i | ||||
\(117\) | −3.30132e8 | − | 8.41163e8i | −0.162874 | − | 0.414996i | ||||
\(118\) | −6.17867e6 | + | 2.70705e7i | −0.00293377 | + | 0.0128537i | ||||
\(119\) | 2.28768e8 | − | 3.05270e9i | 0.104576 | − | 1.39548i | ||||
\(120\) | −2.97303e9 | + | 9.17059e8i | −1.30883 | + | 0.403721i | ||||
\(121\) | 1.06587e9 | + | 5.13296e8i | 0.452033 | + | 0.217688i | ||||
\(122\) | −2.08448e8 | − | 3.61042e8i | −0.0851880 | − | 0.147550i | ||||
\(123\) | 6.16223e8 | − | 1.06733e9i | 0.242753 | − | 0.420461i | ||||
\(124\) | −2.62314e9 | + | 1.78842e9i | −0.996376 | + | 0.679317i | ||||
\(125\) | −7.59713e6 | − | 3.32852e7i | −0.00278327 | − | 0.0121943i | ||||
\(126\) | −2.37875e9 | + | 3.58539e8i | −0.840778 | + | 0.126727i | ||||
\(127\) | 9.44256e8 | − | 1.18406e9i | 0.322087 | − | 0.403884i | −0.594258 | − | 0.804275i | \(-0.702554\pi\) |
0.916345 | + | 0.400391i | \(0.131126\pi\) | |||||||
\(128\) | 2.66910e9 | 0.878860 | ||||||||
\(129\) | 3.40991e9 | + | 4.90295e9i | 1.08415 | + | 1.55885i | ||||
\(130\) | 2.08210e8 | 0.0639378 | ||||||||
\(131\) | −3.81445e9 | + | 4.78317e9i | −1.13165 | + | 1.41904i | −0.237432 | + | 0.971404i | \(0.576306\pi\) |
−0.894215 | + | 0.447637i | \(0.852266\pi\) | |||||||
\(132\) | −4.30162e9 | + | 6.48365e8i | −1.23325 | + | 0.185882i | ||||
\(133\) | −9.36175e8 | − | 4.10165e9i | −0.259433 | − | 1.13665i | ||||
\(134\) | −3.23106e8 | + | 2.20290e8i | −0.0865713 | + | 0.0590233i | ||||
\(135\) | 8.33675e9 | − | 1.44397e10i | 2.16021 | − | 3.74159i | ||||
\(136\) | 1.14769e9 | + | 1.98786e9i | 0.287673 | + | 0.498264i | ||||
\(137\) | −2.43302e9 | − | 1.17168e9i | −0.590069 | − | 0.284162i | 0.114926 | − | 0.993374i | \(-0.463337\pi\) |
−0.704996 | + | 0.709212i | \(0.749051\pi\) | |||||||
\(138\) | 3.82518e9 | − | 1.17991e9i | 0.897835 | − | 0.276945i | ||||
\(139\) | 2.08316e8 | − | 2.77978e9i | 0.0473321 | − | 0.631603i | −0.922212 | − | 0.386685i | \(-0.873620\pi\) |
0.969544 | − | 0.244918i | \(-0.0787610\pi\) | |||||||
\(140\) | −1.65126e9 | + | 7.23465e9i | −0.363278 | + | 1.59163i | ||||
\(141\) | −2.54648e9 | − | 6.48832e9i | −0.542568 | − | 1.38244i | ||||
\(142\) | −5.50479e7 | − | 7.34563e8i | −0.0113617 | − | 0.151611i | ||||
\(143\) | 5.97246e8 | + | 9.00203e7i | 0.119438 | + | 0.0180023i | ||||
\(144\) | −7.84737e9 | + | 7.28130e9i | −1.52087 | + | 1.41116i | ||||
\(145\) | 3.78744e9 | − | 1.82393e9i | 0.711524 | − | 0.342652i | ||||
\(146\) | −1.13656e8 | − | 7.74893e7i | −0.0207016 | − | 0.0141141i | ||||
\(147\) | −2.09085e9 | + | 5.32740e9i | −0.369313 | + | 0.940995i | ||||
\(148\) | −1.48168e9 | − | 4.57037e8i | −0.253849 | − | 0.0783021i | ||||
\(149\) | 3.98939e9 | + | 3.70161e9i | 0.663084 | + | 0.615252i | 0.938173 | − | 0.346167i | \(-0.112517\pi\) |
−0.275089 | + | 0.961419i | \(0.588707\pi\) | |||||||
\(150\) | 1.95225e9 | + | 2.44805e9i | 0.314866 | + | 0.394829i | ||||
\(151\) | 4.55152e9 | + | 5.70742e9i | 0.712459 | + | 0.893396i | 0.997885 | − | 0.0650053i | \(-0.0207064\pi\) |
−0.285426 | + | 0.958401i | \(0.592135\pi\) | |||||||
\(152\) | 2.31247e9 | + | 2.14565e9i | 0.351382 | + | 0.326034i | ||||
\(153\) | −1.90766e10 | − | 5.88437e9i | −2.81443 | − | 0.868137i | ||||
\(154\) | 5.87444e8 | − | 1.49678e9i | 0.0841634 | − | 0.214445i | ||||
\(155\) | 1.09062e10 | + | 7.43570e9i | 1.51768 | + | 1.03474i | ||||
\(156\) | 2.01485e9 | − | 9.70300e8i | 0.272384 | − | 0.131173i | ||||
\(157\) | −3.51192e9 | + | 3.25858e9i | −0.461313 | + | 0.428036i | −0.876281 | − | 0.481800i | \(-0.839983\pi\) |
0.414968 | + | 0.909836i | \(0.363793\pi\) | |||||||
\(158\) | −2.71366e9 | − | 4.09019e8i | −0.346417 | − | 0.0522139i | ||||
\(159\) | −2.20288e9 | − | 2.93954e10i | −0.273340 | − | 3.64747i | ||||
\(160\) | −3.08581e9 | − | 7.86253e9i | −0.372246 | − | 0.948467i | ||||
\(161\) | 4.40781e9 | − | 1.93119e10i | 0.517019 | − | 2.26521i | ||||
\(162\) | −5.49673e8 | + | 7.33488e9i | −0.0627028 | + | 0.836710i | ||||
\(163\) | −1.20367e10 | + | 3.71284e9i | −1.33556 | + | 0.411967i | −0.878617 | − | 0.477527i | \(-0.841533\pi\) |
−0.456947 | + | 0.889494i | \(0.651057\pi\) | |||||||
\(164\) | 1.98583e9 | + | 9.56323e8i | 0.214360 | + | 0.103230i | ||||
\(165\) | 9.04340e9 | + | 1.56636e10i | 0.949848 | + | 1.64518i | ||||
\(166\) | −9.71814e7 | + | 1.68323e8i | −0.00993337 | + | 0.0172051i | ||||
\(167\) | −1.33664e10 | + | 9.11304e9i | −1.32981 | + | 0.906649i | −0.999309 | − | 0.0371570i | \(-0.988170\pi\) |
−0.330500 | + | 0.943806i | \(0.607217\pi\) | |||||||
\(168\) | −2.74850e9 | − | 1.20419e10i | −0.266197 | − | 1.16629i | ||||
\(169\) | 1.01790e10 | − | 1.53424e9i | 0.959878 | − | 0.144678i | ||||
\(170\) | 2.86801e9 | − | 3.59637e9i | 0.263367 | − | 0.330251i | ||||
\(171\) | −2.74362e10 | −2.45382 | ||||||||
\(172\) | −8.28816e9 | + | 6.73647e9i | −0.722071 | + | 0.586887i | ||||
\(173\) | −6.52825e9 | −0.554102 | −0.277051 | − | 0.960855i | \(-0.589357\pi\) | ||||
−0.277051 | + | 0.960855i | \(0.589357\pi\) | |||||||
\(174\) | −2.10276e9 | + | 2.63678e9i | −0.173907 | + | 0.218073i | ||||
\(175\) | 1.53212e10 | − | 2.30930e9i | 1.23487 | − | 0.186127i | ||||
\(176\) | −1.59222e9 | − | 6.97596e9i | −0.125082 | − | 0.548021i | ||||
\(177\) | 1.02450e9 | − | 6.98491e8i | 0.0784569 | − | 0.0534910i | ||||
\(178\) | 1.67341e9 | − | 2.89843e9i | 0.124943 | − | 0.216407i | ||||
\(179\) | 3.71798e9 | + | 6.43972e9i | 0.270687 | + | 0.468844i | 0.969038 | − | 0.246912i | \(-0.0794157\pi\) |
−0.698351 | + | 0.715756i | \(0.746082\pi\) | |||||||
\(180\) | 4.36007e10 | + | 2.09970e10i | 3.09576 | + | 1.49084i | ||||
\(181\) | 1.25946e10 | − | 3.88491e9i | 0.872227 | − | 0.269046i | 0.173846 | − | 0.984773i | \(-0.444381\pi\) |
0.698381 | + | 0.715727i | \(0.253904\pi\) | |||||||
\(182\) | −6.17712e7 | + | 8.24280e8i | −0.00417316 | + | 0.0556869i | ||||
\(183\) | −4.14267e9 | + | 1.81502e10i | −0.273055 | + | 1.19633i | ||||
\(184\) | 5.42631e9 | + | 1.38260e10i | 0.348999 | + | 0.889235i | ||||
\(185\) | 4.81767e8 | + | 6.42873e9i | 0.0302388 | + | 0.403508i | ||||
\(186\) | −1.04716e10 | − | 1.57834e9i | −0.641513 | − | 0.0966925i | ||||
\(187\) | 9.78171e9 | − | 9.07610e9i | 0.584962 | − | 0.542765i | ||||
\(188\) | 1.12309e10 | − | 5.40851e9i | 0.655698 | − | 0.315768i | ||||
\(189\) | 5.46916e10 | + | 3.72881e10i | 3.11776 | + | 2.12565i | ||||
\(190\) | 2.30960e9 | − | 5.88476e9i | 0.128572 | − | 0.327595i | ||||
\(191\) | 4.16124e9 | + | 1.28357e9i | 0.226242 | + | 0.0697864i | 0.405803 | − | 0.913960i | \(-0.366992\pi\) |
−0.179562 | + | 0.983747i | \(0.557468\pi\) | |||||||
\(192\) | −1.59040e10 | − | 1.47568e10i | −0.844602 | − | 0.783676i | ||||
\(193\) | 9.36953e9 | + | 1.17490e10i | 0.486082 | + | 0.609528i | 0.963027 | − | 0.269406i | \(-0.0868272\pi\) |
−0.476945 | + | 0.878933i | \(0.658256\pi\) | |||||||
\(194\) | 1.88086e9 | + | 2.35852e9i | 0.0953341 | + | 0.119545i | ||||
\(195\) | −6.81583e9 | − | 6.32417e9i | −0.337569 | − | 0.313219i | ||||
\(196\) | −9.78028e9 | − | 3.01682e9i | −0.473368 | − | 0.146015i | ||||
\(197\) | −6.18724e9 | + | 1.57648e10i | −0.292684 | + | 0.745746i | 0.706589 | + | 0.707624i | \(0.250233\pi\) |
−0.999273 | + | 0.0381223i | \(0.987862\pi\) | |||||||
\(198\) | −8.66388e9 | − | 5.90693e9i | −0.400607 | − | 0.273129i | ||||
\(199\) | 2.09658e10 | − | 1.00966e10i | 0.947702 | − | 0.456389i | 0.104822 | − | 0.994491i | \(-0.466573\pi\) |
0.842880 | + | 0.538102i | \(0.180858\pi\) | |||||||
\(200\) | −8.51646e9 | + | 7.90212e9i | −0.376378 | + | 0.349228i | ||||
\(201\) | 1.72681e10 | + | 2.60274e9i | 0.746210 | + | 0.112473i | ||||
\(202\) | 6.44893e8 | + | 8.60550e9i | 0.0272525 | + | 0.363660i | ||||
\(203\) | 6.09709e9 | + | 1.55351e10i | 0.251994 | + | 0.642070i | ||||
\(204\) | 1.09939e10 | − | 4.81675e10i | 0.444443 | − | 1.94723i | ||||
\(205\) | 6.84823e8 | − | 9.13833e9i | 0.0270823 | − | 0.361389i | ||||
\(206\) | 1.18676e10 | − | 3.66066e9i | 0.459155 | − | 0.141630i | ||||
\(207\) | −1.16386e11 | − | 5.60484e10i | −4.40589 | − | 2.12176i | ||||
\(208\) | 1.83918e9 | + | 3.18555e9i | 0.0681301 | + | 0.118005i | ||||
\(209\) | 9.16930e9 | − | 1.58817e10i | 0.332413 | − | 0.575756i | ||||
\(210\) | −2.04516e10 | + | 1.39437e10i | −0.725671 | + | 0.494754i | ||||
\(211\) | 5.55949e9 | + | 2.43577e10i | 0.193092 | + | 0.845990i | 0.974931 | + | 0.222509i | \(0.0714248\pi\) |
−0.781839 | + | 0.623481i | \(0.785718\pi\) | |||||||
\(212\) | 5.21291e10 | − | 7.85720e9i | 1.77243 | − | 0.267151i | ||||
\(213\) | −2.05095e10 | + | 2.57182e10i | −0.682728 | + | 0.856114i | ||||
\(214\) | −3.51463e9 | −0.114556 | ||||||||
\(215\) | 3.86615e10 | + | 2.18450e10i | 1.23397 | + | 0.697234i | ||||
\(216\) | −4.96329e10 | −1.55141 | ||||||||
\(217\) | −3.26726e10 | + | 4.09702e10i | −1.00027 | + | 1.25429i | ||||
\(218\) | 1.00255e10 | − | 1.51110e9i | 0.300642 | − | 0.0453145i | ||||
\(219\) | 1.36691e9 | + | 5.98881e9i | 0.0401551 | + | 0.175931i | ||||
\(220\) | −2.67258e10 | + | 1.82213e10i | −0.769181 | + | 0.524419i | ||||
\(221\) | −3.42983e9 | + | 5.94064e9i | −0.0967180 | + | 0.167520i | ||||
\(222\) | −2.58605e9 | − | 4.47916e9i | −0.0714575 | − | 0.123768i | ||||
\(223\) | −3.36346e10 | − | 1.61976e10i | −0.910782 | − | 0.438609i | −0.0810108 | − | 0.996713i | \(-0.525815\pi\) |
−0.829771 | + | 0.558104i | \(0.811529\pi\) | |||||||
\(224\) | 3.20423e10 | − | 9.88373e9i | 0.850369 | − | 0.262304i | ||||
\(225\) | 7.55099e9 | − | 1.00761e11i | 0.196419 | − | 2.62102i | ||||
\(226\) | −9.01686e8 | + | 3.95055e9i | −0.0229915 | + | 0.100732i | ||||
\(227\) | −1.68386e10 | − | 4.29041e10i | −0.420911 | − | 1.07246i | −0.971364 | − | 0.237598i | \(-0.923640\pi\) |
0.550453 | − | 0.834866i | \(-0.314455\pi\) | |||||||
\(228\) | −5.07415e9 | − | 6.77098e10i | −0.124353 | − | 1.65938i | ||||
\(229\) | −1.37430e10 | − | 2.07143e9i | −0.330235 | − | 0.0497749i | −0.0181676 | − | 0.999835i | \(-0.505783\pi\) |
−0.312067 | + | 0.950060i | \(0.601021\pi\) | |||||||
\(230\) | 2.18192e10 | − | 2.02452e10i | 0.514118 | − | 0.477032i | ||||
\(231\) | −6.46934e10 | + | 3.11547e10i | −1.49488 | + | 0.719895i | ||||
\(232\) | −1.03391e10 | − | 7.04910e9i | −0.234308 | − | 0.159749i | ||||
\(233\) | 6.33367e9 | − | 1.61379e10i | 0.140784 | − | 0.358712i | −0.843039 | − | 0.537852i | \(-0.819236\pi\) |
0.983824 | + | 0.179139i | \(0.0573313\pi\) | |||||||
\(234\) | 5.15102e9 | + | 1.58888e9i | 0.112311 | + | 0.0346433i | ||||
\(235\) | −3.79919e10 | − | 3.52513e10i | −0.812616 | − | 0.753998i | ||||
\(236\) | 1.38260e9 | + | 1.73373e9i | 0.0290131 | + | 0.0363813i | ||||
\(237\) | 7.64091e10 | + | 9.58139e10i | 1.57318 | + | 1.97270i | ||||
\(238\) | 1.33867e10 | + | 1.24211e10i | 0.270444 | + | 0.250936i | ||||
\(239\) | 4.06158e10 | + | 1.25283e10i | 0.805201 | + | 0.248372i | 0.669918 | − | 0.742435i | \(-0.266329\pi\) |
0.135283 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(240\) | −4.02423e10 | + | 1.02536e11i | −0.782947 | + | 1.99492i | ||||
\(241\) | 1.53978e10 | + | 1.04980e10i | 0.294024 | + | 0.200462i | 0.701343 | − | 0.712824i | \(-0.252584\pi\) |
−0.407320 | + | 0.913286i | \(0.633536\pi\) | |||||||
\(242\) | −6.35834e9 | + | 3.06202e9i | −0.119172 | + | 0.0573903i | ||||
\(243\) | 1.19327e11 | − | 1.10719e11i | 2.19539 | − | 2.03702i | ||||
\(244\) | −3.29226e10 | − | 4.96229e9i | −0.594621 | − | 0.0896247i | ||||
\(245\) | 3.18006e9 | + | 4.24349e10i | 0.0563881 | + | 0.752447i | ||||
\(246\) | 2.68600e9 | + | 6.84382e9i | 0.0467626 | + | 0.119149i | ||||
\(247\) | −2.09778e9 | + | 9.19097e9i | −0.0358611 | + | 0.157118i | ||||
\(248\) | 2.93633e9 | − | 3.91826e10i | 0.0492915 | − | 0.657750i | ||||
\(249\) | 8.29389e9 | − | 2.55833e9i | 0.136729 | − | 0.0421754i | ||||
\(250\) | 1.83497e8 | + | 8.83674e7i | 0.00297097 | + | 0.00143074i | ||||
\(251\) | −4.59906e8 | − | 7.96581e8i | −0.00731371 | − | 0.0126677i | 0.862345 | − | 0.506320i | \(-0.168995\pi\) |
−0.869659 | + | 0.493653i | \(0.835661\pi\) | |||||||
\(252\) | −9.60597e10 | + | 1.66380e11i | −1.50051 | + | 2.59896i | ||||
\(253\) | 7.13407e10 | − | 4.86393e10i | 1.09470 | − | 0.746354i | ||||
\(254\) | 2.01035e9 | + | 8.80790e9i | 0.0303053 | + | 0.132776i | ||||
\(255\) | −2.03121e11 | + | 3.06156e10i | −3.00832 | + | 0.453431i | ||||
\(256\) | 1.60713e10 | − | 2.01528e10i | 0.233868 | − | 0.293262i | ||||
\(257\) | 2.44318e10 | 0.349347 | 0.174673 | − | 0.984626i | \(-0.444113\pi\) | ||||
0.174673 | + | 0.984626i | \(0.444113\pi\) | |||||||
\(258\) | −3.55497e10 | − | 2.33226e9i | −0.499514 | − | 0.0327709i | ||||
\(259\) | −2.55935e10 | −0.353412 | ||||||||
\(260\) | 1.03676e10 | − | 1.30005e10i | 0.140701 | − | 0.176433i | ||||
\(261\) | 1.07618e11 | − | 1.62208e10i | 1.43550 | − | 0.216366i | ||||
\(262\) | −8.12107e9 | − | 3.55807e10i | −0.106477 | − | 0.466508i | ||||
\(263\) | −1.23609e10 | + | 8.42753e9i | −0.159313 | + | 0.108617i | −0.640352 | − | 0.768081i | \(-0.721212\pi\) |
0.481040 | + | 0.876699i | \(0.340259\pi\) | |||||||
\(264\) | 2.69199e10 | − | 4.66267e10i | 0.341080 | − | 0.590768i | ||||
\(265\) | −1.09592e11 | − | 1.89819e11i | −1.36513 | − | 2.36447i | ||||
\(266\) | 2.26118e10 | + | 1.08893e10i | 0.276929 | + | 0.133362i | ||||
\(267\) | −1.42816e11 | + | 4.40529e10i | −1.71979 | + | 0.530486i | ||||
\(268\) | −2.33389e9 | + | 3.11436e10i | −0.0276359 | + | 0.368775i | ||||
\(269\) | 9.81690e9 | − | 4.30107e10i | 0.114311 | − | 0.500831i | −0.885063 | − | 0.465471i | \(-0.845885\pi\) |
0.999375 | − | 0.0353600i | \(-0.0112578\pi\) | |||||||
\(270\) | 3.63383e10 | + | 9.25886e10i | 0.416129 | + | 1.06028i | ||||
\(271\) | 1.15748e10 | + | 1.54455e11i | 0.130363 | + | 1.73957i | 0.552922 | + | 0.833233i | \(0.313513\pi\) |
−0.422559 | + | 0.906335i | \(0.638868\pi\) | |||||||
\(272\) | 8.03572e10 | + | 1.21119e10i | 0.890153 | + | 0.134169i | ||||
\(273\) | 2.70587e10 | − | 2.51068e10i | 0.294832 | − | 0.273564i | ||||
\(274\) | 1.45139e10 | − | 6.98954e9i | 0.155563 | − | 0.0749154i | ||||
\(275\) | 5.58028e10 | + | 3.80457e10i | 0.588381 | + | 0.401151i | ||||
\(276\) | 1.16797e11 | − | 2.97594e11i | 1.21155 | − | 3.08698i | ||||
\(277\) | −7.65826e10 | − | 2.36226e10i | −0.781576 | − | 0.241084i | −0.121808 | − | 0.992554i | \(-0.538869\pi\) |
−0.659768 | + | 0.751470i | \(0.729345\pi\) | |||||||
\(278\) | 1.21899e10 | + | 1.13106e10i | 0.122405 | + | 0.113575i | ||||
\(279\) | 2.13070e11 | + | 2.67182e11i | 2.10525 | + | 2.63990i | ||||
\(280\) | −5.72622e10 | − | 7.18046e10i | −0.556746 | − | 0.698137i | ||||
\(281\) | −2.51769e10 | − | 2.33608e10i | −0.240893 | − | 0.223516i | 0.550482 | − | 0.834847i | \(-0.314444\pi\) |
−0.791375 | + | 0.611331i | \(0.790634\pi\) | |||||||
\(282\) | 3.97324e10 | + | 1.22558e10i | 0.374131 | + | 0.115404i | ||||
\(283\) | −2.69722e9 | + | 6.87240e9i | −0.0249964 | + | 0.0636897i | −0.942827 | − | 0.333282i | \(-0.891844\pi\) |
0.917831 | + | 0.396972i | \(0.129939\pi\) | |||||||
\(284\) | −4.86066e10 | − | 3.31394e10i | −0.443367 | − | 0.302282i | ||||
\(285\) | −2.54348e11 | + | 1.22488e11i | −2.28364 | + | 1.09974i | ||||
\(286\) | −2.64123e9 | + | 2.45070e9i | −0.0233431 | + | 0.0216592i | ||||
\(287\) | 3.59744e10 | + | 5.42226e9i | 0.312986 | + | 0.0471750i | ||||
\(288\) | −1.63416e10 | − | 2.18063e11i | −0.139968 | − | 1.86774i | ||||
\(289\) | 1.20418e10 | + | 3.06820e10i | 0.101543 | + | 0.258728i | ||||
\(290\) | −5.58015e9 | + | 2.44483e10i | −0.0463292 | + | 0.202982i | ||||
\(291\) | 1.00671e10 | − | 1.34336e11i | 0.0822973 | − | 1.09818i | ||||
\(292\) | −1.04977e10 | + | 3.23812e9i | −0.0845031 | + | 0.0260657i | ||||
\(293\) | 1.54321e11 | + | 7.43172e10i | 1.22327 | + | 0.589095i | 0.930220 | − | 0.367003i | \(-0.119616\pi\) |
0.293048 | + | 0.956098i | \(0.405330\pi\) | |||||||
\(294\) | −1.70700e10 | − | 2.95661e10i | −0.133251 | − | 0.230798i | ||||
\(295\) | 4.60989e9 | − | 7.98456e9i | 0.0354398 | − | 0.0613835i | ||||
\(296\) | 1.58559e10 | − | 1.08103e10i | 0.120054 | − | 0.0818515i | ||||
\(297\) | 6.42046e10 | + | 2.81299e11i | 0.478809 | + | 2.09780i | ||||
\(298\) | −3.21021e10 | + | 4.83861e9i | −0.235809 | + | 0.0355425i | ||||
\(299\) | −2.76748e10 | + | 3.47030e10i | −0.200246 | + | 0.251100i | ||||
\(300\) | 2.50064e11 | 1.78240 | ||||||||
\(301\) | −9.79516e10 | + | 1.46575e11i | −0.687800 | + | 1.02923i | ||||
\(302\) | −4.35478e10 | −0.301256 | ||||||||
\(303\) | 2.40272e11 | − | 3.01292e11i | 1.63761 | − | 2.05350i | ||||
\(304\) | 1.10436e11 | − | 1.66456e10i | 0.741617 | − | 0.111781i | ||||
\(305\) | 3.08031e10 | + | 1.34957e11i | 0.203819 | + | 0.892991i | ||||
\(306\) | 9.83974e10 | − | 6.70862e10i | 0.641560 | − | 0.437408i | ||||
\(307\) | 2.71220e10 | − | 4.69768e10i | 0.174261 | − | 0.301829i | −0.765644 | − | 0.643264i | \(-0.777580\pi\) |
0.939905 | + | 0.341435i | \(0.110913\pi\) | |||||||
\(308\) | −6.42071e10 | − | 1.11210e11i | −0.406541 | − | 0.704151i | ||||
\(309\) | −4.99677e11 | − | 2.40632e11i | −3.11800 | − | 1.50155i | ||||
\(310\) | −7.52437e10 | + | 2.32096e10i | −0.462746 | + | 0.142738i | ||||
\(311\) | −1.97418e10 | + | 2.63437e11i | −0.119665 | + | 1.59681i | 0.537630 | + | 0.843181i | \(0.319320\pi\) |
−0.657295 | + | 0.753633i | \(0.728299\pi\) | |||||||
\(312\) | −6.15882e9 | + | 2.69836e10i | −0.0367961 | + | 0.161214i | ||||
\(313\) | −8.03813e8 | − | 2.04808e9i | −0.00473375 | − | 0.0120614i | 0.928487 | − | 0.371364i | \(-0.121110\pi\) |
−0.933221 | + | 0.359303i | \(0.883015\pi\) | |||||||
\(314\) | −2.13572e9 | − | 2.84992e10i | −0.0123983 | − | 0.165444i | ||||
\(315\) | 7.89851e11 | + | 1.19051e11i | 4.52009 | + | 0.681295i | ||||
\(316\) | −1.60662e11 | + | 1.49073e11i | −0.906403 | + | 0.841019i | ||||
\(317\) | −2.64345e11 | + | 1.27302e11i | −1.47030 | + | 0.708058i | −0.985984 | − | 0.166837i | \(-0.946645\pi\) |
−0.484313 | + | 0.874895i | \(0.660930\pi\) | |||||||
\(318\) | 1.45292e11 | + | 9.90581e10i | 0.796743 | + | 0.543210i | ||||
\(319\) | −2.65768e10 | + | 6.77165e10i | −0.143696 | + | 0.366131i | ||||
\(320\) | −1.54153e11 | − | 4.75498e10i | −0.821820 | − | 0.253498i | ||||
\(321\) | 1.15053e11 | + | 1.06753e11i | 0.604817 | + | 0.561188i | ||||
\(322\) | 7.36751e10 | + | 9.23857e10i | 0.381917 | + | 0.478909i | ||||
\(323\) | 1.29857e11 | + | 1.62836e11i | 0.663828 | + | 0.832414i | ||||
\(324\) | 4.30614e11 | + | 3.99552e11i | 2.17088 | + | 2.01428i | ||||
\(325\) | −3.31769e10 | − | 1.02337e10i | −0.164953 | − | 0.0508814i | ||||
\(326\) | 2.74526e10 | − | 6.99481e10i | 0.134618 | − | 0.343002i | ||||
\(327\) | −3.74084e11 | − | 2.55046e11i | −1.80928 | − | 1.23354i | ||||
\(328\) | −2.45774e10 | + | 1.18358e10i | −0.117247 | + | 0.0564633i | ||||
\(329\) | 1.50827e11 | − | 1.39947e11i | 0.709737 | − | 0.658540i | ||||
\(330\) | −1.06690e11 | − | 1.60809e10i | −0.495234 | − | 0.0746446i | ||||
\(331\) | −2.61139e9 | − | 3.48466e10i | −0.0119577 | − | 0.159564i | −0.999986 | − | 0.00529144i | \(-0.998316\pi\) |
0.988028 | − | 0.154273i | \(-0.0493034\pi\) | |||||||
\(332\) | 5.67096e9 | + | 1.44494e10i | 0.0256174 | + | 0.0652720i | ||||
\(333\) | −3.71397e10 | + | 1.62720e11i | −0.165516 | + | 0.725173i | ||||
\(334\) | 7.21179e9 | − | 9.62347e10i | 0.0317091 | − | 0.423129i | ||||
\(335\) | 1.24079e11 | − | 3.82735e10i | 0.538268 | − | 0.166034i | ||||
\(336\) | −3.93987e11 | − | 1.89734e11i | −1.68638 | − | 0.812118i | ||||
\(337\) | −1.65037e11 | − | 2.85852e11i | −0.697021 | − | 1.20728i | −0.969495 | − | 0.245113i | \(-0.921175\pi\) |
0.272473 | − | 0.962163i | \(-0.412158\pi\) | |||||||
\(338\) | −3.07039e10 | + | 5.31808e10i | −0.127958 | + | 0.221631i | ||||
\(339\) | 1.49511e11 | − | 1.01935e11i | 0.614856 | − | 0.419201i | ||||
\(340\) | −8.17461e10 | − | 3.58153e11i | −0.331751 | − | 1.45350i | ||||
\(341\) | −2.25869e11 | + | 3.40443e10i | −0.904612 | + | 0.136348i | ||||
\(342\) | 1.02045e11 | − | 1.27961e11i | 0.403345 | − | 0.505778i | ||||
\(343\) | 1.48389e11 | 0.578865 | ||||||||
\(344\) | −1.22776e9 | − | 1.32181e11i | −0.00472716 | − | 0.508926i | ||||
\(345\) | −1.32918e12 | −5.05125 | ||||||||
\(346\) | 2.42810e10 | − | 3.04474e10i | 0.0910801 | − | 0.114211i | ||||
\(347\) | −6.26036e10 | + | 9.43597e9i | −0.231802 | + | 0.0349385i | −0.263916 | − | 0.964546i | \(-0.585014\pi\) |
0.0321141 | + | 0.999484i | \(0.489776\pi\) | |||||||
\(348\) | 5.99344e10 | + | 2.62590e11i | 0.219063 | + | 0.959779i | ||||
\(349\) | 2.31961e11 | − | 1.58149e11i | 0.836953 | − | 0.570625i | −0.0672460 | − | 0.997736i | \(-0.521421\pi\) |
0.904199 | + | 0.427112i | \(0.140469\pi\) | |||||||
\(350\) | −4.62147e10 | + | 8.00461e10i | −0.164617 | + | 0.285124i | ||||
\(351\) | −7.41631e10 | − | 1.28454e11i | −0.260799 | − | 0.451717i | ||||
\(352\) | 1.31689e11 | + | 6.34181e10i | 0.457201 | + | 0.220177i | ||||
\(353\) | −2.14932e10 | + | 6.62979e9i | −0.0736743 | + | 0.0227255i | −0.331373 | − | 0.943500i | \(-0.607512\pi\) |
0.257699 | + | 0.966225i | \(0.417036\pi\) | |||||||
\(354\) | −5.52765e8 | + | 7.37614e9i | −0.00187079 | + | 0.0249640i | ||||
\(355\) | −5.44267e10 | + | 2.38459e11i | −0.181880 | + | 0.796868i | ||||
\(356\) | −9.76506e10 | − | 2.48810e11i | −0.322218 | − | 0.820998i | ||||
\(357\) | −6.09420e10 | − | 8.13214e11i | −0.198568 | − | 2.64971i | ||||
\(358\) | −4.38630e10 | − | 6.61128e9i | −0.141132 | − | 0.0212722i | ||||
\(359\) | 3.07482e11 | − | 2.85302e11i | 0.977000 | − | 0.906524i | −0.0186376 | − | 0.999826i | \(-0.505933\pi\) |
0.995638 | + | 0.0933026i | \(0.0297424\pi\) | |||||||
\(360\) | −5.39619e11 | + | 2.59867e11i | −1.69327 | + | 0.815435i | ||||
\(361\) | −3.01181e10 | − | 2.05341e10i | −0.0933350 | − | 0.0636347i | ||||
\(362\) | −2.87248e10 | + | 7.31896e10i | −0.0879162 | + | 0.224007i | ||||
\(363\) | 3.01148e11 | + | 9.28918e10i | 0.910332 | + | 0.280800i | ||||
\(364\) | 4.83916e10 | + | 4.49009e10i | 0.144482 | + | 0.134060i | ||||
\(365\) | 2.84782e10 | + | 3.57105e10i | 0.0839836 | + | 0.105312i | ||||
\(366\) | −6.92434e10 | − | 8.68284e10i | −0.201703 | − | 0.252928i | ||||
\(367\) | 1.87688e11 | + | 1.74149e11i | 0.540055 | + | 0.501098i | 0.902373 | − | 0.430957i | \(-0.141824\pi\) |
−0.362317 | + | 0.932055i | \(0.618014\pi\) | |||||||
\(368\) | 5.02479e11 | + | 1.54994e11i | 1.42825 | + | 0.440556i | ||||
\(369\) | 8.66778e10 | − | 2.20851e11i | 0.243382 | − | 0.620128i | ||||
\(370\) | −3.17751e10 | − | 2.16639e10i | −0.0881412 | − | 0.0600937i | ||||
\(371\) | 7.83985e11 | − | 3.77547e11i | 2.14845 | − | 1.03464i | ||||
\(372\) | −6.19971e11 | + | 5.75249e11i | −1.67853 | + | 1.55744i | ||||
\(373\) | −4.79886e11 | − | 7.23311e10i | −1.28365 | − | 0.193480i | −0.528447 | − | 0.848966i | \(-0.677226\pi\) |
−0.755207 | + | 0.655486i | \(0.772464\pi\) | |||||||
\(374\) | 5.94861e9 | + | 7.93786e10i | 0.0157215 | + | 0.209788i | ||||
\(375\) | −3.32276e9 | − | 8.46625e9i | −0.00867677 | − | 0.0221080i | ||||
\(376\) | −3.43297e10 | + | 1.50408e11i | −0.0885777 | + | 0.388084i | ||||
\(377\) | 2.79461e9 | − | 3.72915e10i | 0.00712502 | − | 0.0950767i | ||||
\(378\) | −3.77328e11 | + | 1.16390e11i | −0.950617 | + | 0.293226i | ||||
\(379\) | −4.53000e11 | − | 2.18153e11i | −1.12777 | − | 0.543107i | −0.225488 | − | 0.974246i | \(-0.572398\pi\) |
−0.902286 | + | 0.431139i | \(0.858112\pi\) | |||||||
\(380\) | −2.52437e11 | − | 4.37233e11i | −0.621050 | − | 1.07569i | ||||
\(381\) | 2.01721e11 | − | 3.49391e11i | 0.490444 | − | 0.849474i | ||||
\(382\) | −2.14637e10 | + | 1.46337e10i | −0.0515727 | + | 0.0351616i | ||||
\(383\) | 6.63015e10 | + | 2.90486e11i | 0.157445 | + | 0.689811i | 0.990602 | + | 0.136775i | \(0.0436738\pi\) |
−0.833157 | + | 0.553036i | \(0.813469\pi\) | |||||||
\(384\) | 7.03085e11 | − | 1.05973e11i | 1.65013 | − | 0.248716i | ||||
\(385\) | −3.32885e11 | + | 4.17424e11i | −0.772184 | + | 0.968288i | ||||
\(386\) | −8.96454e10 | −0.205535 | ||||||||
\(387\) | 7.89764e11 | + | 8.35464e11i | 1.78977 | + | 1.89334i | ||||
\(388\) | 2.40919e11 | 0.539671 | ||||||||
\(389\) | 1.35310e11 | − | 1.69673e11i | 0.299610 | − | 0.375699i | −0.609124 | − | 0.793075i | \(-0.708479\pi\) |
0.908734 | + | 0.417376i | \(0.137050\pi\) | |||||||
\(390\) | 5.48461e10 | − | 8.26672e9i | 0.120048 | − | 0.0180943i | ||||
\(391\) | 2.18210e11 | + | 9.56039e11i | 0.472149 | + | 2.06862i | ||||
\(392\) | 1.04662e11 | − | 7.13570e10i | 0.223872 | − | 0.152633i | ||||
\(393\) | −8.14880e11 | + | 1.41141e12i | −1.72317 | + | 2.98461i | ||||
\(394\) | −5.05136e10 | − | 8.74920e10i | −0.105603 | − | 0.182909i | ||||
\(395\) | 8.20994e11 | + | 3.95370e11i | 1.69689 | + | 0.817178i | ||||
\(396\) | −8.00231e11 | + | 2.46839e11i | −1.63526 | + | 0.504411i | ||||
\(397\) | 2.96465e10 | − | 3.95605e11i | 0.0598985 | − | 0.799290i | −0.883670 | − | 0.468111i | \(-0.844935\pi\) |
0.943568 | − | 0.331179i | \(-0.107446\pi\) | |||||||
\(398\) | −3.08895e10 | + | 1.35336e11i | −0.0617075 | + | 0.270358i | ||||
\(399\) | −4.09455e11 | − | 1.04327e12i | −0.808775 | − | 2.06073i | ||||
\(400\) | 3.07375e10 | + | 4.10163e11i | 0.0600342 | + | 0.801100i | ||||
\(401\) | 4.40685e11 | + | 6.64225e10i | 0.851095 | + | 0.128282i | 0.560082 | − | 0.828437i | \(-0.310770\pi\) |
0.291013 | + | 0.956719i | \(0.406008\pi\) | |||||||
\(402\) | −7.63653e10 | + | 7.08566e10i | −0.145841 | + | 0.135320i | ||||
\(403\) | 1.05796e11 | − | 5.09484e10i | 0.199800 | − | 0.0962184i | ||||
\(404\) | 5.69433e11 | + | 3.88233e11i | 1.06347 | + | 0.725064i | ||||
\(405\) | 8.92285e11 | − | 2.27351e12i | 1.64800 | − | 4.19902i | ||||
\(406\) | −9.51321e10 | − | 2.93444e10i | −0.173764 | − | 0.0535991i | ||||
\(407\) | −8.17795e10 | − | 7.58803e10i | −0.147730 | − | 0.137074i | ||||
\(408\) | 3.81246e11 | + | 4.78067e11i | 0.681136 | + | 0.854118i | ||||
\(409\) | −1.27439e11 | − | 1.59804e11i | −0.225190 | − | 0.282379i | 0.656382 | − | 0.754429i | \(-0.272086\pi\) |
−0.881572 | + | 0.472049i | \(0.843514\pi\) | |||||||
\(410\) | 4.00735e10 | + | 3.71828e10i | 0.0700374 | + | 0.0649852i | ||||
\(411\) | −6.87418e11 | − | 2.12040e11i | −1.18832 | − | 0.366547i | ||||
\(412\) | 3.62361e11 | − | 9.23280e11i | 0.619589 | − | 1.57869i | ||||
\(413\) | 3.02422e10 | + | 2.06188e10i | 0.0511492 | + | 0.0348729i | ||||
\(414\) | 6.94288e11 | − | 3.34352e11i | 1.16155 | − | 0.559373i | ||||
\(415\) | 4.73090e10 | − | 4.38964e10i | 0.0782938 | − | 0.0726461i | ||||
\(416\) | −7.42992e10 | − | 1.11988e10i | −0.121637 | − | 0.0183338i | ||||
\(417\) | −5.54937e10 | − | 7.40512e11i | −0.0898735 | − | 1.19928i | ||||
\(418\) | 3.99673e10 | + | 1.01835e11i | 0.0640341 | + | 0.163156i | ||||
\(419\) | 9.64254e10 | − | 4.22467e11i | 0.152837 | − | 0.669622i | −0.839216 | − | 0.543799i | \(-0.816985\pi\) |
0.992053 | − | 0.125824i | \(-0.0401574\pi\) | |||||||
\(420\) | −1.47728e11 | + | 1.97129e12i | −0.231654 | + | 3.09121i | ||||
\(421\) | 6.07035e11 | − | 1.87245e11i | 0.941768 | − | 0.290497i | 0.214401 | − | 0.976746i | \(-0.431220\pi\) |
0.727367 | + | 0.686249i | \(0.240744\pi\) | |||||||
\(422\) | −1.34281e11 | − | 6.46661e10i | −0.206114 | − | 0.0992592i | ||||
\(423\) | −6.70892e11 | − | 1.16202e12i | −1.01888 | − | 1.76474i | ||||
\(424\) | −3.26229e11 | + | 5.65045e11i | −0.490203 | + | 0.849057i | ||||
\(425\) | −6.33763e11 | + | 4.32092e11i | −0.942273 | + | 0.642431i | ||||
\(426\) | −4.36654e10 | − | 1.91311e11i | −0.0642383 | − | 0.281446i | ||||
\(427\) | −5.43418e11 | + | 8.19071e10i | −0.791059 | + | 0.119233i | ||||
\(428\) | −1.75007e11 | + | 2.19451e11i | −0.252091 | + | 0.316112i | ||||
\(429\) | 1.60899e11 | 0.229348 | ||||||||
\(430\) | −2.45680e11 | + | 9.90654e10i | −0.346547 | + | 0.139738i | ||||
\(431\) | −9.79147e11 | −1.36678 | −0.683392 | − | 0.730052i | \(-0.739496\pi\) | ||||
−0.683392 | + | 0.730052i | \(0.739496\pi\) | |||||||
\(432\) | −1.09559e12 | + | 1.37382e12i | −1.51346 | + | 1.89782i | ||||
\(433\) | 7.70600e11 | − | 1.16149e11i | 1.05350 | − | 0.158789i | 0.400613 | − | 0.916247i | \(-0.368797\pi\) |
0.652884 | + | 0.757458i | \(0.273559\pi\) | |||||||
\(434\) | −6.95609e10 | − | 3.04766e11i | −0.0941156 | − | 0.412347i | ||||
\(435\) | 9.25257e11 | − | 6.30830e11i | 1.23897 | − | 0.844716i | ||||
\(436\) | 4.04853e11 | − | 7.01226e11i | 0.536547 | − | 0.929327i | ||||
\(437\) | 6.73844e11 | + | 1.16713e12i | 0.883879 | + | 1.53092i | ||||
\(438\) | −3.30155e10 | − | 1.58994e10i | −0.0428632 | − | 0.0206418i | ||||
\(439\) | 6.15327e11 | − | 1.89803e11i | 0.790707 | − | 0.243901i | 0.127009 | − | 0.991902i | \(-0.459462\pi\) |
0.663698 | + | 0.748001i | \(0.268986\pi\) | |||||||
\(440\) | 2.99168e10 | − | 3.99211e11i | 0.0380520 | − | 0.507769i | ||||
\(441\) | −2.45153e11 | + | 1.07408e12i | −0.308648 | + | 1.35227i | ||||
\(442\) | −1.49500e10 | − | 3.80919e10i | −0.0186312 | − | 0.0474715i | ||||
\(443\) | 3.02941e8 | + | 4.04247e9i | 0.000373716 | + | 0.00498689i | 0.997388 | − | 0.0722364i | \(-0.0230136\pi\) |
−0.997014 | + | 0.0772233i | \(0.975395\pi\) | |||||||
\(444\) | −4.08445e11 | − | 6.15631e10i | −0.498781 | − | 0.0751791i | ||||
\(445\) | −8.14634e11 | + | 7.55870e11i | −0.984788 | + | 0.913750i | ||||
\(446\) | 2.00644e11 | − | 9.66250e10i | 0.240115 | − | 0.115633i | ||||
\(447\) | 1.19784e12 | + | 8.16673e11i | 1.41911 | + | 0.967530i | ||||
\(448\) | 2.33978e11 | − | 5.96165e11i | 0.274425 | − | 0.699223i | ||||
\(449\) | 1.12172e12 | + | 3.46003e11i | 1.30249 | + | 0.401765i | 0.866946 | − | 0.498403i | \(-0.166080\pi\) |
0.435544 | + | 0.900167i | \(0.356556\pi\) | |||||||
\(450\) | 4.41858e11 | + | 4.09985e11i | 0.507957 | + | 0.471315i | ||||
\(451\) | 9.88736e10 | + | 1.23984e11i | 0.112535 | + | 0.141114i | ||||
\(452\) | 2.01771e11 | + | 2.53013e11i | 0.227371 | + | 0.285115i | ||||
\(453\) | 1.42555e12 | + | 1.32272e12i | 1.59053 | + | 1.47579i | ||||
\(454\) | 2.62731e11 | + | 8.10419e10i | 0.290242 | + | 0.0895278i | ||||
\(455\) | 1.00273e11 | − | 2.55492e11i | 0.109682 | − | 0.279464i | ||||
\(456\) | 6.94332e11 | + | 4.73388e11i | 0.752013 | + | 0.512714i | ||||
\(457\) | −1.36873e12 | + | 6.59148e11i | −1.46790 | + | 0.706903i | −0.985598 | − | 0.169103i | \(-0.945913\pi\) |
−0.482301 | + | 0.876006i | \(0.660199\pi\) | |||||||
\(458\) | 6.07764e10 | − | 5.63922e10i | 0.0645416 | − | 0.0598859i | ||||
\(459\) | −3.24032e12 | − | 4.88400e11i | −3.40747 | − | 0.513593i | ||||
\(460\) | −1.77641e11 | − | 2.37046e12i | −0.184984 | − | 2.46844i | ||||
\(461\) | −2.43800e10 | − | 6.21193e10i | −0.0251408 | − | 0.0640578i | 0.917752 | − | 0.397154i | \(-0.130002\pi\) |
−0.942893 | + | 0.333096i | \(0.891907\pi\) | |||||||
\(462\) | 9.53148e10 | − | 4.17602e11i | 0.0973356 | − | 0.426455i | ||||
\(463\) | 6.98140e9 | − | 9.31603e10i | 0.00706038 | − | 0.0942143i | −0.992560 | − | 0.121754i | \(-0.961148\pi\) |
0.999621 | + | 0.0275395i | \(0.00876722\pi\) | |||||||
\(464\) | −4.23341e11 | + | 1.30583e11i | −0.423994 | + | 0.130785i | ||||
\(465\) | 3.16809e12 | + | 1.52567e12i | 3.14239 | + | 1.51329i | ||||
\(466\) | 5.17091e10 | + | 8.95628e10i | 0.0507961 | + | 0.0879814i | ||||
\(467\) | 3.31742e11 | − | 5.74594e11i | 0.322756 | − | 0.559030i | −0.658300 | − | 0.752756i | \(-0.728724\pi\) |
0.981056 | + | 0.193726i | \(0.0620573\pi\) | |||||||
\(468\) | 3.55696e11 | − | 2.42510e11i | 0.342747 | − | 0.233681i | ||||
\(469\) | 1.14708e11 | + | 5.02570e11i | 0.109476 | + | 0.479644i | ||||
\(470\) | 3.05716e11 | − | 4.60792e10i | 0.288986 | − | 0.0435577i | ||||
\(471\) | −7.95720e11 | + | 9.97802e11i | −0.745017 | + | 0.934222i | ||||
\(472\) | −2.74450e10 | −0.0254521 | ||||||||
\(473\) | −7.47557e11 | + | 1.77946e11i | −0.686704 | + | 0.163461i | ||||
\(474\) | −7.31064e11 | −0.665201 | ||||||||
\(475\) | −6.57260e11 | + | 8.24178e11i | −0.592401 | + | 0.742848i | ||||
\(476\) | 1.44214e12 | − | 2.17367e11i | 1.28758 | − | 0.194072i | ||||
\(477\) | −1.26272e12 | − | 5.53234e12i | −1.11680 | − | 4.89301i | ||||
\(478\) | −2.09496e11 | + | 1.42832e11i | −0.183549 | + | 0.125141i | ||||
\(479\) | −6.16789e11 | + | 1.06831e12i | −0.535336 | + | 0.927230i | 0.463811 | + | 0.885934i | \(0.346482\pi\) |
−0.999147 | + | 0.0412953i | \(0.986852\pi\) | |||||||
\(480\) | −1.12503e12 | − | 1.94860e12i | −0.967335 | − | 1.67547i | ||||
\(481\) | 5.16704e10 | + | 2.48832e10i | 0.0440138 | + | 0.0211959i | ||||
\(482\) | −1.06232e11 | + | 3.27683e10i | −0.0896489 | + | 0.0276530i | ||||
\(483\) | 3.94338e11 | − | 5.26207e12i | 0.329691 | − | 4.39941i | ||||
\(484\) | −1.25415e11 | + | 5.49479e11i | −0.103883 | + | 0.455142i | ||||
\(485\) | −3.65950e11 | − | 9.32425e11i | −0.300320 | − | 0.765202i | ||||
\(486\) | 7.25671e10 | + | 9.68341e11i | 0.0590033 | + | 0.787345i | ||||
\(487\) | 1.65264e12 | + | 2.49095e11i | 1.33136 | + | 0.200671i | 0.775893 | − | 0.630865i | \(-0.217300\pi\) |
0.555472 | + | 0.831535i | \(0.312538\pi\) | |||||||
\(488\) | 3.02066e11 | − | 2.80276e11i | 0.241108 | − | 0.223716i | ||||
\(489\) | −3.02327e12 | + | 1.45593e12i | −2.39104 | + | 1.15146i | ||||
\(490\) | −2.09742e11 | − | 1.42999e11i | −0.164362 | − | 0.112060i | ||||
\(491\) | −4.95576e11 | + | 1.26271e12i | −0.384807 | + | 0.980473i | 0.598921 | + | 0.800808i | \(0.295597\pi\) |
−0.983728 | + | 0.179665i | \(0.942499\pi\) | |||||||
\(492\) | 5.61069e11 | + | 1.73067e11i | 0.431691 | + | 0.133159i | ||||
\(493\) | −6.05634e11 | − | 5.61946e11i | −0.461741 | − | 0.428433i | ||||
\(494\) | −3.50637e10 | − | 4.39685e10i | −0.0264903 | − | 0.0332178i | ||||
\(495\) | 2.17086e12 | + | 2.72218e12i | 1.62521 | + | 2.03795i | ||||
\(496\) | −1.01975e12 | − | 9.46187e11i | −0.756528 | − | 0.701955i | ||||
\(497\) | −9.27884e11 | − | 2.86214e11i | −0.682165 | − | 0.210420i | ||||
\(498\) | −1.89161e10 | + | 4.81976e10i | −0.0137816 | + | 0.0351150i | ||||
\(499\) | 1.51265e12 | + | 1.03131e12i | 1.09216 | + | 0.744621i | 0.968825 | − | 0.247744i | \(-0.0796893\pi\) |
0.123333 | + | 0.992365i | \(0.460642\pi\) | |||||||
\(500\) | 1.46546e10 | − | 7.05727e9i | 0.0104860 | − | 0.00504977i | ||||
\(501\) | −3.15910e12 | + | 2.93122e12i | −2.24024 | + | 2.07864i | ||||
\(502\) | 5.42577e9 | + | 8.17803e8i | 0.00381324 | + | 0.000574754i | ||||
\(503\) | 1.72678e11 | + | 2.30422e12i | 0.120276 | + | 1.60498i | 0.652108 | + | 0.758126i | \(0.273885\pi\) |
−0.531832 | + | 0.846850i | \(0.678496\pi\) | |||||||
\(504\) | −8.68688e11 | − | 2.21338e12i | −0.599690 | − | 1.52798i | ||||
\(505\) | 6.37617e11 | − | 2.79358e12i | 0.436263 | − | 1.91139i | ||||
\(506\) | −3.84917e10 | + | 5.13636e11i | −0.0261030 | + | 0.348320i | ||||
\(507\) | 2.62041e12 | − | 8.08290e11i | 1.76130 | − | 0.543289i | ||||
\(508\) | 6.50062e11 | + | 3.13053e11i | 0.433080 | + | 0.208560i | ||||
\(509\) | −1.06282e12 | − | 1.84086e12i | −0.701828 | − | 1.21560i | −0.967824 | − | 0.251627i | \(-0.919034\pi\) |
0.265997 | − | 0.963974i | \(-0.414299\pi\) | |||||||
\(510\) | 6.12693e11 | − | 1.06121e12i | 0.401030 | − | 0.694604i | ||||
\(511\) | −1.49822e11 | + | 1.02147e11i | −0.0972037 | + | 0.0662724i | ||||
\(512\) | 3.38308e11 | + | 1.48223e12i | 0.217569 | + | 0.953234i | ||||
\(513\) | −4.45323e12 | + | 6.71216e11i | −2.83888 | + | 0.427892i | ||||
\(514\) | −9.08708e10 | + | 1.13948e11i | −0.0574236 | + | 0.0720069i | ||||
\(515\) | −4.12377e12 | −2.58322 | ||||||||
\(516\) | −1.91578e12 | + | 2.10357e12i | −1.18966 | + | 1.30627i | ||||
\(517\) | 8.96860e11 | 0.552099 | ||||||||
\(518\) | 9.51916e10 | − | 1.19367e11i | 0.0580918 | − | 0.0728448i | ||||
\(519\) | −1.71965e12 | + | 2.59196e11i | −1.04037 | + | 0.156810i | ||||
\(520\) | 4.57944e10 | + | 2.00638e11i | 0.0274661 | + | 0.120337i | ||||
\(521\) | 2.25736e12 | − | 1.53904e12i | 1.34224 | − | 0.915124i | 0.342537 | − | 0.939504i | \(-0.388714\pi\) |
0.999703 | + | 0.0243804i | \(0.00776131\pi\) | |||||||
\(522\) | −3.24618e11 | + | 5.62254e11i | −0.191362 | + | 0.331448i | ||||
\(523\) | 1.38290e11 | + | 2.39526e11i | 0.0808228 | + | 0.139989i | 0.903604 | − | 0.428370i | \(-0.140912\pi\) |
−0.822781 | + | 0.568359i | \(0.807579\pi\) | |||||||
\(524\) | −2.62601e12 | − | 1.26462e12i | −1.52162 | − | 0.732773i | ||||
\(525\) | 3.94417e12 | − | 1.21661e12i | 2.26589 | − | 0.698934i | ||||
\(526\) | 6.66930e9 | − | 8.89957e10i | 0.00379878 | − | 0.0506912i | ||||
\(527\) | 5.77267e11 | − | 2.52917e12i | 0.326009 | − | 1.42834i | ||||
\(528\) | −6.96388e11 | − | 1.77437e12i | −0.389941 | − | 0.993552i | ||||
\(529\) | 3.39588e11 | + | 4.53148e12i | 0.188539 | + | 2.51588i | ||||
\(530\) | 1.29292e12 | + | 1.94876e11i | 0.711755 | + | 0.107280i | ||||
\(531\) | 1.74977e11 | − | 1.62355e11i | 0.0955116 | − | 0.0886218i | ||||
\(532\) | 1.80584e12 | − | 8.69649e11i | 0.977413 | − | 0.470697i | ||||
\(533\) | −6.73564e10 | − | 4.59228e10i | −0.0361499 | − | 0.0246466i | ||||
\(534\) | 3.25725e11 | − | 8.29934e11i | 0.173347 | − | 0.441680i | ||||
\(535\) | 1.11517e12 | + | 3.43984e11i | 0.588503 | + | 0.181529i | ||||
\(536\) | −2.83344e11 | − | 2.62904e11i | −0.148276 | − | 0.137580i | ||||
\(537\) | 1.23506e12 | + | 1.54871e12i | 0.640919 | + | 0.803687i | ||||
\(538\) | 1.64086e11 | + | 2.05758e11i | 0.0844408 | + | 0.105885i | ||||
\(539\) | −5.39811e11 | − | 5.00872e11i | −0.275482 | − | 0.255610i | ||||
\(540\) | 7.59059e12 | + | 2.34139e12i | 3.84152 | + | 1.18495i | ||||
\(541\) | −4.68841e11 | + | 1.19459e12i | −0.235309 | + | 0.599557i | −0.998937 | − | 0.0460996i | \(-0.985321\pi\) |
0.763628 | + | 0.645656i | \(0.223416\pi\) | |||||||
\(542\) | −7.63422e11 | − | 5.20492e11i | −0.379986 | − | 0.259070i | ||||
\(543\) | 3.16337e12 | − | 1.52340e12i | 1.56153 | − | 0.751994i | ||||
\(544\) | −1.21687e12 | + | 1.12909e12i | −0.595731 | + | 0.552758i | ||||
\(545\) | −3.32890e12 | − | 5.01751e11i | −1.61628 | − | 0.243615i | ||||
\(546\) | 1.64554e10 | + | 2.19582e11i | 0.00792393 | + | 0.105738i | ||||
\(547\) | −1.15608e12 | − | 2.94565e12i | −0.552136 | − | 1.40682i | −0.885774 | − | 0.464117i | \(-0.846372\pi\) |
0.333638 | − | 0.942701i | \(-0.391724\pi\) | |||||||
\(548\) | 2.86280e11 | − | 1.25427e12i | 0.135606 | − | 0.594128i | ||||
\(549\) | −2.67822e11 | + | 3.57383e12i | −0.125826 | + | 1.67903i | ||||
\(550\) | −3.84994e11 | + | 1.18755e11i | −0.179400 | + | 0.0553375i | ||||
\(551\) | −1.02299e12 | − | 4.92646e11i | −0.472813 | − | 0.227695i | ||||
\(552\) | 1.97832e12 | + | 3.42656e12i | 0.906925 | + | 1.57084i | ||||
\(553\) | −1.80879e12 | + | 3.13292e12i | −0.822480 | + | 1.42458i | ||||
\(554\) | 3.95013e11 | − | 2.69315e11i | 0.178163 | − | 0.121469i | ||||
\(555\) | 3.82150e11 | + | 1.67431e12i | 0.170968 | + | 0.749060i | ||||
\(556\) | 1.31321e12 | − | 1.97934e11i | 0.582770 | − | 0.0878384i | ||||
\(557\) | 2.95860e11 | − | 3.70996e11i | 0.130238 | − | 0.163313i | −0.712437 | − | 0.701736i | \(-0.752408\pi\) |
0.842675 | + | 0.538423i | \(0.180980\pi\) | |||||||
\(558\) | −2.03860e12 | −0.890183 | ||||||||
\(559\) | 3.40260e11 | − | 2.00686e11i | 0.147387 | − | 0.0869289i | ||||
\(560\) | −3.25153e12 | −1.39714 | ||||||||
\(561\) | 2.21631e12 | − | 2.77917e12i | 0.944708 | − | 1.18463i | ||||
\(562\) | 2.02595e11 | − | 3.05363e10i | 0.0856675 | − | 0.0129123i | ||||
\(563\) | 2.27829e11 | + | 9.98185e11i | 0.0955700 | + | 0.418720i | 0.999968 | − | 0.00796974i | \(-0.00253687\pi\) |
−0.904398 | + | 0.426689i | \(0.859680\pi\) | |||||||
\(564\) | 2.74367e12 | − | 1.87060e12i | 1.14176 | − | 0.778440i | ||||
\(565\) | 6.72746e11 | − | 1.16523e12i | 0.277737 | − | 0.481054i | ||||
\(566\) | −2.20205e10 | − | 3.81406e10i | −0.00901889 | − | 0.0156212i | ||||
\(567\) | 8.73581e12 | + | 4.20694e12i | 3.54960 | + | 1.70940i | ||||
\(568\) | 6.95741e11 | − | 2.14608e11i | 0.280466 | − | 0.0865123i | ||||
\(569\) | −1.98149e10 | + | 2.64411e11i | −0.00792477 | + | 0.105749i | −0.999763 | − | 0.0217506i | \(-0.993076\pi\) |
0.991839 | + | 0.127499i | \(0.0406951\pi\) | |||||||
\(570\) | 3.74740e11 | − | 1.64184e12i | 0.148694 | − | 0.651470i | ||||
\(571\) | −1.59313e12 | − | 4.05924e12i | −0.627176 | − | 1.59802i | −0.791196 | − | 0.611562i | \(-0.790541\pi\) |
0.164020 | − | 0.986457i | \(-0.447554\pi\) | |||||||
\(572\) | 2.15036e10 | + | 2.86946e11i | 0.00839903 | + | 0.112077i | ||||
\(573\) | 1.14710e12 | + | 1.72898e11i | 0.444536 | + | 0.0670030i | ||||
\(574\) | −1.59091e11 | + | 1.47615e11i | −0.0611705 | + | 0.0567579i | ||||
\(575\) | −4.47181e12 | + | 2.15351e12i | −1.70600 | + | 0.821564i | ||||
\(576\) | −3.45080e12 | − | 2.35272e12i | −1.30623 | − | 0.890570i | ||||
\(577\) | −2.13027e11 | + | 5.42785e11i | −0.0800100 | + | 0.203862i | −0.965281 | − | 0.261213i | \(-0.915877\pi\) |
0.885271 | + | 0.465075i | \(0.153973\pi\) | |||||||
\(578\) | −1.87887e11 | − | 5.79555e10i | −0.0700199 | − | 0.0215983i | ||||
\(579\) | 2.93457e12 | + | 2.72288e12i | 1.08515 | + | 1.00687i | ||||
\(580\) | 1.24868e12 | + | 1.56579e12i | 0.458167 | + | 0.574523i | ||||
\(581\) | 1.59745e11 | + | 2.00314e11i | 0.0581613 | + | 0.0729320i | ||||
\(582\) | 5.89092e11 | + | 5.46597e11i | 0.212828 | + | 0.197476i | ||||
\(583\) | 3.62445e12 | + | 1.11799e12i | 1.29937 | + | 0.400803i | ||||
\(584\) | 4.96734e10 | − | 1.26566e11i | 0.0176712 | − | 0.0450255i | ||||
\(585\) | −1.47887e12 | − | 1.00828e12i | −0.522071 | − | 0.355942i | ||||
\(586\) | −9.20588e11 | + | 4.43332e11i | −0.322497 | + | 0.155307i | ||||
\(587\) | 6.25814e11 | − | 5.80671e11i | 0.217557 | − | 0.201864i | −0.563864 | − | 0.825868i | \(-0.690686\pi\) |
0.781421 | + | 0.624004i | \(0.214495\pi\) | |||||||
\(588\) | −2.69607e12 | − | 4.06367e11i | −0.930107 | − | 0.140191i | ||||
\(589\) | −2.66433e11 | − | 3.55530e12i | −0.0912156 | − | 1.21719i | ||||
\(590\) | 2.00936e10 | + | 5.11977e10i | 0.00682691 | + | 0.0173947i | ||||
\(591\) | −1.00390e12 | + | 4.39837e12i | −0.338491 | + | 1.48302i | ||||
\(592\) | 5.07724e10 | − | 6.77511e11i | 0.0169895 | − | 0.226709i | ||||
\(593\) | 2.06207e11 | − | 6.36065e10i | 0.0684790 | − | 0.0211230i | −0.260326 | − | 0.965521i | \(-0.583830\pi\) |
0.328805 | + | 0.944398i | \(0.393354\pi\) | |||||||
\(594\) | −1.55076e12 | − | 7.46807e11i | −0.511100 | − | 0.246133i | ||||
\(595\) | −3.03184e12 | − | 5.25130e12i | −0.991698 | − | 1.71767i | ||||
\(596\) | −1.29636e12 | + | 2.24536e12i | −0.420841 | + | 0.728918i | ||||
\(597\) | 5.12186e12 | − | 3.49203e12i | 1.65023 | − | 1.12510i | ||||
\(598\) | −5.89203e10 | − | 2.58147e11i | −0.0188412 | − | 0.0825489i | ||||
\(599\) | −3.71443e12 | + | 5.59860e11i | −1.17888 | + | 0.177688i | −0.709110 | − | 0.705098i | \(-0.750903\pi\) |
−0.469775 | + | 0.882786i | \(0.655665\pi\) | |||||||
\(600\) | −1.92963e12 | + | 2.41969e12i | −0.607847 | + | 0.762216i | ||||
\(601\) | −2.64477e12 | −0.826898 | −0.413449 | − | 0.910527i | \(-0.635676\pi\) | ||||
−0.413449 | + | 0.910527i | \(0.635676\pi\) | |||||||
\(602\) | −3.19300e11 | − | 1.00201e12i | −0.0990867 | − | 0.310947i | ||||
\(603\) | 3.36173e12 | 1.03546 | ||||||||
\(604\) | −2.16841e12 | + | 2.71910e12i | −0.662940 | + | 0.831301i | ||||
\(605\) | 2.31714e12 | − | 3.49253e11i | 0.703159 | − | 0.105984i | ||||
\(606\) | 5.11546e11 | + | 2.24123e12i | 0.154084 | + | 0.675086i | ||||
\(607\) | −4.26389e11 | + | 2.90707e11i | −0.127484 | + | 0.0869174i | −0.625383 | − | 0.780318i | \(-0.715057\pi\) |
0.497899 | + | 0.867235i | \(0.334105\pi\) | |||||||
\(608\) | −1.14069e12 | + | 1.97573e12i | −0.338533 | + | 0.586356i | ||||
\(609\) | 2.22288e12 | + | 3.85013e12i | 0.654843 | + | 1.13422i | ||||
\(610\) | −7.44001e11 | − | 3.58292e11i | −0.217565 | − | 0.104774i | ||||
\(611\) | −4.40566e11 | + | 1.35897e11i | −0.127887 | + | 0.0394478i | ||||
\(612\) | 7.10752e11 | − | 9.48433e12i | 0.204803 | − | 2.73291i | ||||
\(613\) | −1.14935e12 | + | 5.03565e12i | −0.328762 | + | 1.44040i | 0.492731 | + | 0.870182i | \(0.335999\pi\) |
−0.821493 | + | 0.570219i | \(0.806858\pi\) | |||||||
\(614\) | 1.18220e11 | + | 3.01219e11i | 0.0335686 | + | 0.0855313i | ||||
\(615\) | −1.82431e11 | − | 2.43438e12i | −0.0514235 | − | 0.686199i | ||||
\(616\) | 1.57155e12 | + | 2.36874e11i | 0.439760 | + | 0.0662832i | ||||
\(617\) | 3.36462e12 | − | 3.12191e12i | 0.934659 | − | 0.867237i | −0.0567029 | − | 0.998391i | \(-0.518059\pi\) |
0.991362 | + | 0.131154i | \(0.0418683\pi\) | |||||||
\(618\) | 2.98077e12 | − | 1.43546e12i | 0.822017 | − | 0.395862i | ||||
\(619\) | 2.92037e12 | + | 1.99107e12i | 0.799521 | + | 0.545104i | 0.892756 | − | 0.450540i | \(-0.148769\pi\) |
−0.0932355 | + | 0.995644i | \(0.529721\pi\) | |||||||
\(620\) | −2.29747e12 | + | 5.85385e12i | −0.624435 | + | 1.59103i | ||||
\(621\) | −2.02620e13 | − | 6.25000e12i | −5.46726 | − | 1.68643i | ||||
\(622\) | −1.15522e12 | − | 1.07189e12i | −0.309464 | − | 0.287140i | ||||
\(623\) | −2.75071e12 | − | 3.44929e12i | −0.731559 | − | 0.917346i | ||||
\(624\) | 6.10948e11 | + | 7.66105e11i | 0.161315 | + | 0.202282i | ||||
\(625\) | 2.77148e12 | + | 2.57155e12i | 0.726526 | + | 0.674117i | ||||
\(626\) | 1.25418e10 | + | 3.86863e9i | 0.00326419 | + | 0.00100687i | ||||
\(627\) | 1.78479e12 | − | 4.54756e12i | 0.461192 | − | 1.17510i | ||||
\(628\) | −1.88582e12 | − | 1.28573e12i | −0.483817 | − | 0.329861i | ||||
\(629\) | 1.14154e12 | − | 5.49736e11i | 0.290779 | − | 0.140032i | ||||
\(630\) | −3.49299e12 | + | 3.24102e12i | −0.883415 | + | 0.819690i | ||||
\(631\) | 4.18884e12 | + | 6.31367e11i | 1.05187 | + | 0.158544i | 0.652147 | − | 0.758092i | \(-0.273868\pi\) |
0.399723 | + | 0.916636i | \(0.369106\pi\) | |||||||
\(632\) | −2.02707e11 | − | 2.70493e12i | −0.0505407 | − | 0.674419i | ||||
\(633\) | 2.43155e12 | + | 6.19549e12i | 0.601959 | + | 1.53377i | ||||
\(634\) | 3.89469e11 | − | 1.70637e12i | 0.0957350 | − | 0.419443i | ||||
\(635\) | 2.24177e11 | − | 2.99144e12i | 0.0547155 | − | 0.730127i | ||||
\(636\) | 1.34197e13 | − | 4.13944e12i | 3.25227 | − | 1.00319i | ||||
\(637\) | 3.41067e11 | + | 1.64249e11i | 0.0820752 | + | 0.0395254i | ||||
\(638\) | −2.16977e11 | − | 3.75815e11i | −0.0518466 | − | 0.0898010i | ||||
\(639\) | −3.16620e12 | + | 5.48402e12i | −0.751250 | + | 1.30120i | ||||
\(640\) | 4.36823e12 | − | 2.97821e12i | 1.02919 | − | 0.701691i | ||||
\(641\) | −2.52859e11 | − | 1.10785e12i | −0.0591585 | − | 0.259190i | 0.936697 | − | 0.350141i | \(-0.113866\pi\) |
−0.995855 | + | 0.0909511i | \(0.971009\pi\) | |||||||
\(642\) | −9.25813e11 | + | 1.39544e11i | −0.215088 | + | 0.0324193i | ||||
\(643\) | 4.14240e12 | − | 5.19441e12i | 0.955659 | − | 1.19836i | −0.0244101 | − | 0.999702i | \(-0.507771\pi\) |
0.980069 | − | 0.198657i | \(-0.0636578\pi\) | |||||||
\(644\) | 9.43705e12 | 2.16197 | ||||||||
\(645\) | 1.10514e13 | + | 4.21933e12i | 2.51420 | + | 0.959897i | ||||
\(646\) | −1.24245e12 | −0.280693 | ||||||||
\(647\) | −4.18897e12 | + | 5.25281e12i | −0.939806 | + | 1.17848i | 0.0439617 | + | 0.999033i | \(0.486002\pi\) |
−0.983768 | + | 0.179446i | \(0.942569\pi\) | |||||||
\(648\) | −7.18902e12 | + | 1.08357e12i | −1.60170 | + | 0.241418i | ||||
\(649\) | 3.55025e10 | + | 1.55547e11i | 0.00785522 | + | 0.0344160i | ||||
\(650\) | 1.71127e11 | − | 1.16672e11i | 0.0376017 | − | 0.0256364i | ||||
\(651\) | −6.97985e12 | + | 1.20895e13i | −1.52311 | + | 2.63811i | ||||
\(652\) | −3.00054e12 | − | 5.19709e12i | −0.650258 | − | 1.12628i | ||||
\(653\) | −4.44932e11 | − | 2.14268e11i | −0.0957601 | − | 0.0461156i | 0.385391 | − | 0.922754i | \(-0.374067\pi\) |
−0.481151 | + | 0.876638i | \(0.659781\pi\) | |||||||
\(654\) | 2.58088e12 | − | 7.96095e11i | 0.551655 | − | 0.170163i | ||||
\(655\) | −9.05595e11 | + | 1.20843e13i | −0.192242 | + | 2.56529i | ||||
\(656\) | −2.14904e11 | + | 9.41556e11i | −0.0453083 | + | 0.198508i | ||||
\(657\) | 4.32024e11 | + | 1.10078e12i | 0.0904615 | + | 0.230492i | ||||
\(658\) | 9.17233e10 | + | 1.22396e12i | 0.0190749 | + | 0.254537i | ||||
\(659\) | 1.36422e12 | + | 2.05623e11i | 0.281773 | + | 0.0424705i | 0.288408 | − | 0.957507i | \(-0.406874\pi\) |
−0.00663500 | + | 0.999978i | \(0.502112\pi\) | |||||||
\(660\) | −6.31656e12 | + | 5.86092e12i | −1.29579 | + | 1.20231i | ||||
\(661\) | 2.07329e12 | − | 9.98446e11i | 0.422430 | − | 0.203431i | −0.210578 | − | 0.977577i | \(-0.567535\pi\) |
0.633007 | + | 0.774146i | \(0.281820\pi\) | |||||||
\(662\) | 1.72235e11 | + | 1.17428e11i | 0.0348547 | + | 0.0237635i | ||||
\(663\) | −6.67609e11 | + | 1.70104e12i | −0.134187 | + | 0.341904i | ||||
\(664\) | −1.83576e11 | − | 5.66257e10i | −0.0366488 | − | 0.0113046i | ||||
\(665\) | −6.10881e12 | − | 5.66815e12i | −1.21132 | − | 1.12394i | ||||
\(666\) | −6.20779e11 | − | 7.78432e11i | −0.122265 | − | 0.153316i | ||||
\(667\) | −3.33316e12 | − | 4.17965e12i | −0.652064 | − | 0.817662i | ||||
\(668\) | −5.64972e12 | − | 5.24218e12i | −1.09783 | − | 1.01863i | ||||
\(669\) | −9.50302e12 | − | 2.93129e12i | −1.83419 | − | 0.565772i | ||||
\(670\) | −2.82992e11 | + | 7.21052e11i | −0.0542548 | + | 0.138239i | ||||
\(671\) | −1.97924e12 | − | 1.34942e12i | −0.376918 | − | 0.256978i | ||||
\(672\) | 8.04805e12 | − | 3.87574e12i | 1.52240 | − | 0.733149i | ||||
\(673\) | −2.03633e12 | + | 1.88944e12i | −0.382631 | + | 0.355030i | −0.847916 | − | 0.530131i | \(-0.822143\pi\) |
0.465284 | + | 0.885161i | \(0.345952\pi\) | |||||||
\(674\) | 1.94703e12 | + | 2.93467e11i | 0.363415 | + | 0.0547760i | ||||
\(675\) | −1.23946e12 | − | 1.65394e13i | −0.229808 | − | 3.06658i | ||||
\(676\) | 1.79171e12 | + | 4.56520e12i | 0.329995 | + | 0.840813i | ||||
\(677\) | −9.74915e11 | + | 4.27138e12i | −0.178368 | + | 0.781483i | 0.804015 | + | 0.594608i | \(0.202693\pi\) |
−0.982384 | + | 0.186874i | \(0.940164\pi\) | |||||||
\(678\) | −8.06680e10 | + | 1.07644e12i | −0.0146611 | + | 0.195639i | ||||
\(679\) | 3.79993e12 | − | 1.17212e12i | 0.686059 | − | 0.211621i | ||||
\(680\) | 4.09638e12 | + | 1.97271e12i | 0.734700 | + | 0.353813i | ||||
\(681\) | −6.13903e12 | − | 1.06331e13i | −1.09380 | − | 1.89452i | ||||
\(682\) | 6.81310e11 | − | 1.18006e12i | 0.120591 | − | 0.208870i | ||||
\(683\) | −2.91296e12 | + | 1.98602e12i | −0.512202 | + | 0.349214i | −0.791677 | − | 0.610939i | \(-0.790792\pi\) |
0.279475 | + | 0.960153i | \(0.409840\pi\) | |||||||
\(684\) | −2.90857e12 | − | 1.27433e13i | −0.508075 | − | 2.22602i | ||||
\(685\) | −5.28925e12 | + | 7.97226e11i | −0.917881 | + | 0.138348i | ||||
\(686\) | −5.51912e11 | + | 6.92076e11i | −0.0951506 | + | 0.119315i | ||||
\(687\) | −3.70238e12 | −0.634127 | ||||||||
\(688\) | −3.68582e12 | − | 2.88375e12i | −0.627172 | − | 0.490693i | ||||
\(689\) | −1.94985e12 | −0.329621 | ||||||||
\(690\) | 4.94372e12 | − | 6.19923e12i | 0.830296 | − | 1.04116i | ||||
\(691\) | 1.34686e11 | − | 2.03006e10i | 0.0224735 | − | 0.00338733i | −0.137796 | − | 0.990461i | \(-0.544002\pi\) |
0.160269 | + | 0.987073i | \(0.448764\pi\) | |||||||
\(692\) | −6.92074e11 | − | 3.03217e12i | −0.114729 | − | 0.502663i | ||||
\(693\) | −1.14208e13 | + | 7.78658e12i | −1.88104 | + | 1.28247i | ||||
\(694\) | 1.88837e11 | − | 3.27075e11i | 0.0309008 | − | 0.0535217i | ||||
\(695\) | −2.76079e12 | − | 4.78183e12i | −0.448850 | − | 0.777431i | ||||
\(696\) | −3.00337e12 | − | 1.44635e12i | −0.485141 | − | 0.233631i | ||||
\(697\) | −1.72102e12 | + | 5.30865e11i | −0.276210 | + | 0.0851994i | ||||
\(698\) | −1.25154e11 | + | 1.67007e12i | −0.0199570 | + | 0.266308i | ||||
\(699\) | 1.02766e12 | − | 4.50247e12i | 0.162818 | − | 0.713352i | ||||
\(700\) | 2.69683e12 | + | 6.87140e12i | 0.424533 | + | 1.08169i | ||||
\(701\) | 6.47613e11 | + | 8.64179e12i | 0.101294 | + | 1.35168i | 0.783899 | + | 0.620889i | \(0.213228\pi\) |
−0.682605 | + | 0.730788i | \(0.739153\pi\) | |||||||
\(702\) | 8.74942e11 | + | 1.31876e11i | 0.135976 | + | 0.0204951i | ||||
\(703\) | 1.27644e12 | − | 1.18437e12i | 0.197107 | − | 0.182889i | ||||
\(704\) | 2.51516e12 | − | 1.21124e12i | 0.385912 | − | 0.185846i | ||||
\(705\) | −1.14073e13 | − | 7.77737e12i | −1.73913 | − | 1.18572i | ||||
\(706\) | 4.90203e10 | − | 1.24902e11i | 0.00742600 | − | 0.0189212i | ||||
\(707\) | 1.08703e13 | + | 3.35304e12i | 1.63626 | + | 0.504721i | ||||
\(708\) | 4.33037e11 | + | 4.01799e11i | 0.0647702 | + | 0.0600979i | ||||
\(709\) | 7.44128e12 | + | 9.33107e12i | 1.10596 | + | 1.38683i | 0.914139 | + | 0.405400i | \(0.132868\pi\) |
0.191821 | + | 0.981430i | \(0.438561\pi\) | |||||||
\(710\) | −9.09726e11 | − | 1.14076e12i | −0.134353 | − | 0.168474i | ||||
\(711\) | 1.72938e13 | + | 1.60463e13i | 2.53792 | + | 2.35485i | ||||
\(712\) | 3.16107e12 | + | 9.75061e11i | 0.460972 | + | 0.142191i | ||||
\(713\) | 6.13277e12 | − | 1.56260e13i | 0.888697 | − | 2.26436i | ||||
\(714\) | 4.01945e12 | + | 2.74041e12i | 0.578795 | + | 0.394615i | ||||
\(715\) | 1.07790e12 | − | 5.19088e11i | 0.154241 | − | 0.0742786i | ||||
\(716\) | −2.59690e12 | + | 2.40957e12i | −0.369273 | + | 0.342635i | ||||
\(717\) | 1.11963e13 | + | 1.68757e12i | 1.58212 | + | 0.238466i | ||||
\(718\) | 1.86991e11 | + | 2.49522e12i | 0.0262579 | + | 0.350387i | ||||
\(719\) | 2.24093e12 | + | 5.70979e12i | 0.312714 | + | 0.796783i | 0.997672 | + | 0.0681999i | \(0.0217256\pi\) |
−0.684957 | + | 0.728583i | \(0.740179\pi\) | |||||||
\(720\) | −4.71842e12 | + | 2.06727e13i | −0.654335 | + | 2.86683i | ||||
\(721\) | 1.22343e12 | − | 1.63255e13i | 0.168604 | − | 2.24987i | ||||
\(722\) | 2.07790e11 | − | 6.40948e10i | 0.0284582 | − | 0.00877819i | ||||
\(723\) | 4.47285e12 | + | 2.15401e12i | 0.608782 | + | 0.293174i | ||||
\(724\) | 3.13959e12 | + | 5.43794e12i | 0.424669 | + | 0.735547i | ||||
\(725\) | 2.09081e12 | − | 3.62140e12i | 0.281057 | − | 0.486805i | ||||
\(726\) | −1.55332e12 | + | 1.05904e12i | −0.207513 | + | 0.141480i | ||||
\(727\) | 4.85646e11 | + | 2.12775e12i | 0.0644785 | + | 0.282499i | 0.996881 | − | 0.0789238i | \(-0.0251484\pi\) |
−0.932402 | + | 0.361422i | \(0.882291\pi\) | |||||||
\(728\) | −8.07889e11 | + | 1.21770e11i | −0.106601 | + | 0.0160675i | ||||
\(729\) | 1.19050e13 | − | 1.49284e13i | 1.56119 | − | 1.95767i | ||||
\(730\) | −2.72473e11 | −0.0355116 | ||||||||
\(731\) | 1.22054e12 | − | 8.64161e12i | 0.158097 | − | 1.11935i | ||||
\(732\) | −8.86939e12 | −1.14181 | ||||||||
\(733\) | −3.04132e12 | + | 3.81370e12i | −0.389130 | + | 0.487954i | −0.937354 | − | 0.348378i | \(-0.886733\pi\) |
0.548224 | + | 0.836331i | \(0.315304\pi\) | |||||||
\(734\) | −1.51030e12 | + | 2.27641e11i | −0.192057 | + | 0.0289479i | ||||
\(735\) | 2.52250e12 | + | 1.10518e13i | 0.318815 | + | 1.39682i | ||||
\(736\) | −8.87500e12 | + | 6.05087e12i | −1.11485 | + | 0.760095i | ||||
\(737\) | −1.12350e12 | + | 1.94597e12i | −0.140272 | + | 0.242958i | ||||
\(738\) | 7.07651e11 | + | 1.22569e12i | 0.0878144 | + | 0.152099i | ||||
\(739\) | 9.18724e11 | + | 4.42434e11i | 0.113314 | + | 0.0545693i | 0.489682 | − | 0.871901i | \(-0.337113\pi\) |
−0.376368 | + | 0.926470i | \(0.622827\pi\) | |||||||
\(740\) | −2.93488e12 | + | 9.05289e11i | −0.359788 | + | 0.110980i | ||||
\(741\) | −1.87675e11 | + | 2.50434e12i | −0.0228678 | + | 0.305149i | ||||
\(742\) | −1.15507e12 | + | 5.06070e12i | −0.139891 | + | 0.612904i | ||||
\(743\) | −7.31488e11 | − | 1.86380e12i | −0.0880557 | − | 0.224362i | 0.880062 | − | 0.474860i | \(-0.157501\pi\) |
−0.968117 | + | 0.250497i | \(0.919406\pi\) | |||||||
\(744\) | −7.82215e11 | − | 1.04379e13i | −0.0935939 | − | 1.24892i | ||||
\(745\) | 1.06593e13 | + | 1.60664e12i | 1.26773 | + | 0.191079i | ||||
\(746\) | 2.12222e12 | − | 1.96913e12i | 0.250880 | − | 0.232782i | ||||
\(747\) | 1.50538e12 | − | 7.24952e11i | 0.176890 | − | 0.0851857i | ||||
\(748\) | 5.25255e12 | + | 3.58113e12i | 0.613498 | + | 0.418276i | ||||
\(749\) | −1.69263e12 | + | 4.31276e12i | −0.196515 | + | 0.500711i | ||||
\(750\) | 5.18446e10 | + | 1.59919e10i | 0.00598312 | + | 0.00184555i | ||||
\(751\) | −2.51012e11 | − | 2.32905e11i | −0.0287948 | − | 0.0267177i | 0.665644 | − | 0.746269i | \(-0.268157\pi\) |
−0.694439 | + | 0.719552i | \(0.744347\pi\) | |||||||
\(752\) | 3.40547e12 | + | 4.27032e12i | 0.388326 | + | 0.486945i | ||||
\(753\) | −1.52774e11 | − | 1.91573e11i | −0.0173170 | − | 0.0217148i | ||||
\(754\) | 1.63531e11 | + | 1.51735e11i | 0.0184259 | + | 0.0170968i | ||||
\(755\) | 1.38174e13 | + | 4.26211e12i | 1.54762 | + | 0.477379i | ||||
\(756\) | −1.15212e13 | + | 2.93556e13i | −1.28277 | + | 3.26845i | ||||
\(757\) | −2.95151e12 | − | 2.01231e12i | −0.326673 | − | 0.222722i | 0.388867 | − | 0.921294i | \(-0.372867\pi\) |
−0.715539 | + | 0.698572i | \(0.753819\pi\) | |||||||
\(758\) | 2.70233e12 | − | 1.30137e12i | 0.297322 | − | 0.143183i | ||||
\(759\) | 1.68612e13 | − | 1.56449e13i | 1.84417 | − | 1.71114i | ||||
\(760\) | 6.17872e12 | + | 9.31292e11i | 0.671796 | + | 0.101257i | ||||
\(761\) | 1.05171e11 | + | 1.40341e12i | 0.0113675 | + | 0.151689i | 0.999999 | + | 0.00133089i | \(0.000423637\pi\) |
−0.988632 | + | 0.150358i | \(0.951957\pi\) | |||||||
\(762\) | 8.79265e11 | + | 2.24033e12i | 0.0944762 | + | 0.240721i | ||||
\(763\) | 2.97398e12 | − | 1.30299e13i | 0.317671 | − | 1.39181i | ||||
\(764\) | −1.55038e11 | + | 2.06884e12i | −0.0164634 | + | 0.219689i | ||||
\(765\) | −3.77866e13 | + | 1.16556e13i | −3.98898 | + | 1.23044i | ||||
\(766\) | −1.60141e12 | − | 7.71197e11i | −0.168063 | − | 0.0809349i | ||||
\(767\) | −4.10092e10 | − | 7.10300e10i | −0.00427860 | − | 0.00741076i | ||||
\(768\) | 3.43331e12 | − | 5.94667e12i | 0.356113 | − | 0.616805i | ||||
\(769\) | 9.93688e12 | − | 6.77485e12i | 1.02466 | − | 0.698604i | 0.0703846 | − | 0.997520i | \(-0.477577\pi\) |
0.954280 | + | 0.298916i | \(0.0966250\pi\) | |||||||
\(770\) | −7.08721e11 | − | 3.10511e12i | −0.0726552 | − | 0.318323i | ||||
\(771\) | 6.43574e12 | − | 9.70032e11i | 0.655925 | − | 0.0988648i | ||||
\(772\) | −4.46377e12 | + | 5.59739e12i | −0.452298 | + | 0.567163i | ||||
\(773\) | 9.89713e12 | 0.997014 | 0.498507 | − | 0.866886i | \(-0.333882\pi\) | ||||
0.498507 | + | 0.866886i | \(0.333882\pi\) | |||||||
\(774\) | −6.83397e12 | + | 5.76014e11i | −0.684446 | + | 0.0576897i | ||||
\(775\) | 1.31304e13 | 1.30743 | ||||||||
\(776\) | −1.85907e12 | + | 2.33120e12i | −0.184042 | + | 0.230782i | ||||
\(777\) | −6.74175e12 | + | 1.01616e12i | −0.663557 | + | 0.100015i | ||||
\(778\) | 2.88078e11 | + | 1.26215e12i | 0.0281905 | + | 0.123511i | ||||
\(779\) | −2.04510e12 | + | 1.39432e12i | −0.198974 | + | 0.135658i | ||||
\(780\) | 2.21482e12 | − | 3.83618e12i | 0.214246 | − | 0.371085i | ||||
\(781\) | −2.11631e12 | − | 3.66556e12i | −0.203540 | − | 0.352542i | ||||
\(782\) | −5.27051e12 | − | 2.53814e12i | −0.503990 | − | 0.242709i | ||||
\(783\) | 1.70708e13 | − | 5.26565e12i | 1.62303 | − | 0.500638i | ||||
\(784\) | 3.35139e11 | − | 4.47213e12i | 0.0316813 | − | 0.422758i | ||||
\(785\) | −2.11162e12 | + | 9.25163e12i | −0.198474 | + | 0.869571i | ||||
\(786\) | −3.55191e12 | − | 9.05012e12i | −0.331941 | − | 0.845771i | ||||
\(787\) | 5.20252e11 | + | 6.94228e12i | 0.0483423 | + | 0.645083i | 0.967772 | + | 0.251828i | \(0.0810319\pi\) |
−0.919430 | + | 0.393255i | \(0.871349\pi\) | |||||||
\(788\) | −7.97820e12 | − | 1.20252e12i | −0.737118 | − | 0.111103i | ||||
\(789\) | −2.92147e12 | + | 2.71073e12i | −0.268383 | + | 0.249023i | ||||
\(790\) | −4.89756e12 | + | 2.35854e12i | −0.447361 | + | 0.215438i | ||||
\(791\) | 4.41341e12 | + | 3.00902e12i | 0.400849 | + | 0.273294i | ||||
\(792\) | 3.78655e12 | − | 9.64798e12i | 0.341964 | − | 0.871311i | ||||
\(793\) | 1.17673e12 | + | 3.62974e11i | 0.105669 | + | 0.0325947i | ||||
\(794\) | 1.73481e12 | + | 1.60967e12i | 0.154903 | + | 0.143729i | ||||
\(795\) | −3.64050e13 | − | 4.56504e13i | −3.23228 | − | 4.05315i | ||||
\(796\) | 6.91218e12 | + | 8.66760e12i | 0.610247 | + | 0.765226i | ||||
\(797\) | −3.48416e12 | − | 3.23282e12i | −0.305869 | − | 0.283805i | 0.512271 | − | 0.858824i | \(-0.328804\pi\) |
−0.818140 | + | 0.575019i | \(0.804995\pi\) | |||||||
\(798\) | 6.38868e12 | + | 1.97065e12i | 0.557696 | + | 0.172027i | ||||
\(799\) | −3.72130e12 | + | 9.48171e12i | −0.323023 | + | 0.823050i | ||||
\(800\) | −6.94203e12 | − | 4.73300e12i | −0.599214 | − | 0.408537i | ||||
\(801\) | −2.59218e13 | + | 1.24833e13i | −2.22494 | + | 1.07147i | ||||
\(802\) | −1.94886e12 | + | 1.80828e12i | −0.166340 | + | 0.154341i | ||||
\(803\) | −7.81580e11 | − | 1.17804e11i | −0.0663366 | − | 0.00999864i | ||||
\(804\) | 6.21730e11 | + | 8.29640e12i | 0.0524746 | + | 0.700225i | ||||
\(805\) | −1.43346e13 | − | 3.65240e13i | −1.20311 | − | 3.06547i | ||||
\(806\) | −1.55872e11 | + | 6.82920e11i | −0.0130095 | + | 0.0569983i | ||||
\(807\) | 8.78255e11 | − | 1.17195e13i | 0.0728936 | − | 0.972698i | ||||
\(808\) | −8.15070e12 | + | 2.51416e12i | −0.672735 | + | 0.207511i | ||||
\(809\) | −9.62750e12 | − | 4.63636e12i | −0.790215 | − | 0.380547i | −0.00517009 | − | 0.999987i | \(-0.501646\pi\) |
−0.785045 | + | 0.619439i | \(0.787360\pi\) | |||||||
\(810\) | 7.28475e12 | + | 1.26176e13i | 0.594610 | + | 1.02989i | ||||
\(811\) | 2.17376e12 | − | 3.76506e12i | 0.176448 | − | 0.305618i | −0.764213 | − | 0.644964i | \(-0.776872\pi\) |
0.940662 | + | 0.339346i | \(0.110206\pi\) | |||||||
\(812\) | −6.56922e12 | + | 4.47882e12i | −0.530288 | + | 0.361544i | ||||
\(813\) | 9.18146e12 | + | 4.02266e13i | 0.737062 | + | 3.22928i | ||||
\(814\) | 6.58069e11 | − | 9.91879e10i | 0.0525366 | − | 0.00791861i | ||||
\(815\) | −1.55565e13 | + | 1.95072e13i | −1.23510 | + | 1.54876i | ||||
\(816\) | 2.16483e13 | 1.70930 | ||||||||
\(817\) | −1.89772e12 | − | 1.18431e13i | −0.149016 | − | 0.929963i | ||||
\(818\) | 1.21931e12 | 0.0952192 | ||||||||
\(819\) | 4.43040e12 | − | 5.55555e12i | 0.344085 | − | 0.431469i | ||||
\(820\) | 4.31707e12 | − | 6.50694e11i | 0.333447 | − | 0.0502591i | ||||
\(821\) | 6.25929e10 | + | 2.74238e11i | 0.00480818 | + | 0.0210660i | 0.977275 | − | 0.211975i | \(-0.0679895\pi\) |
−0.972467 | + | 0.233041i | \(0.925132\pi\) | |||||||
\(822\) | 3.54570e12 | − | 2.41742e12i | 0.270881 | − | 0.184684i | ||||
\(823\) | 8.79981e12 | − | 1.52417e13i | 0.668612 | − | 1.15807i | −0.309681 | − | 0.950841i | \(-0.600222\pi\) |
0.978292 | − | 0.207229i | \(-0.0664446\pi\) | |||||||
\(824\) | 6.13771e12 | + | 1.06308e13i | 0.463804 | + | 0.803332i | ||||
\(825\) | 1.62099e13 | + | 7.80629e12i | 1.21826 | + | 0.586681i | ||||
\(826\) | −2.08647e11 | + | 6.43590e10i | −0.0155956 | + | 0.00481060i | ||||
\(827\) | 1.11986e12 | − | 1.49435e13i | 0.0832512 | − | 1.11091i | −0.786556 | − | 0.617519i | \(-0.788138\pi\) |
0.869807 | − | 0.493391i | \(-0.164243\pi\) | |||||||
\(828\) | 1.36945e13 | − | 5.99994e13i | 1.01253 | − | 4.43620i | ||||
\(829\) | −2.86903e12 | − | 7.31018e12i | −0.210980 | − | 0.537567i | 0.785735 | − | 0.618563i | \(-0.212285\pi\) |
−0.996714 | + | 0.0809963i | \(0.974190\pi\) | |||||||
\(830\) | 2.87703e10 | + | 3.83913e11i | 0.00210423 | + | 0.0280790i | ||||
\(831\) | −2.11110e13 | − | 3.18198e12i | −1.53569 | − | 0.231469i | ||||
\(832\) | −1.05199e12 | + | 9.76107e11i | −0.0761129 | + | 0.0706224i | ||||
\(833\) | 7.53509e12 | − | 3.62871e12i | 0.542233 | − | 0.261126i | ||||
\(834\) | 3.66011e12 | + | 2.49542e12i | 0.261967 | + | 0.178606i | ||||
\(835\) | −1.17069e13 | + | 2.98287e13i | −0.833400 | + | 2.12347i | ||||
\(836\) | 8.34862e12 | + | 2.57521e12i | 0.591134 | + | 0.182341i | ||||
\(837\) | 4.11203e13 | + | 3.81541e13i | 2.89595 | + | 2.68705i | ||||
\(838\) | 1.61172e12 | + | 2.02103e12i | 0.112899 | + | 0.141571i | ||||
\(839\) | −9.36750e12 | − | 1.17465e13i | −0.652672 | − | 0.818425i | 0.339852 | − | 0.940479i | \(-0.389623\pi\) |
−0.992523 | + | 0.122054i | \(0.961052\pi\) | |||||||
\(840\) | −1.79347e13 | − | 1.66410e13i | −1.24291 | − | 1.15325i | ||||
\(841\) | −9.55873e12 | − | 2.94848e12i | −0.658898 | − | 0.203243i | ||||
\(842\) | −1.38448e12 | + | 3.52761e12i | −0.0949256 | + | 0.241867i | ||||
\(843\) | −7.55953e12 | − | 5.15400e12i | −0.515550 | − | 0.351496i | ||||
\(844\) | −1.07240e13 | + | 5.16442e12i | −0.727473 | + | 0.350333i | ||||
\(845\) | 1.49470e13 | − | 1.38688e13i | 1.00856 | − | 0.935803i | ||||
\(846\) | 7.91488e12 | + | 1.19298e12i | 0.531224 | + | 0.0800692i | ||||
\(847\) | 6.95207e11 | + | 9.27689e12i | 0.0464129 | + | 0.619337i | ||||
\(848\) | 8.43916e12 | + | 2.15026e13i | 0.560426 | + | 1.42794i | ||||
\(849\) | −4.37633e11 | + | 1.91739e12i | −0.0289085 | + | 0.126656i | ||||
\(850\) | 3.41945e11 | − | 4.56294e12i | 0.0224684 | − | 0.299820i | ||||
\(851\) | 7.83424e12 | − | 2.41654e12i | 0.512052 | − | 0.157947i | ||||
\(852\) | −1.41196e13 | − | 6.79962e12i | −0.918000 | − | 0.442086i | ||||
\(853\) | −3.24352e11 | − | 5.61794e11i | −0.0209771 | − | 0.0363334i | 0.855346 | − | 0.518057i | \(-0.173344\pi\) |
−0.876323 | + | 0.481723i | \(0.840011\pi\) | |||||||
\(854\) | 1.63916e12 | − | 2.83911e12i | 0.105454 | − | 0.182651i | ||||
\(855\) | −4.49021e13 | + | 3.06137e13i | −2.87355 | + | 1.95915i | ||||
\(856\) | −7.73019e11 | − | 3.38682e12i | −0.0492105 | − | 0.215605i | ||||
\(857\) | 7.09079e12 | − | 1.06876e12i | 0.449035 | − | 0.0676812i | 0.0793681 | − | 0.996845i | \(-0.474710\pi\) |
0.369667 | + | 0.929164i | \(0.379472\pi\) | |||||||
\(858\) | −5.98441e11 | + | 7.50422e11i | −0.0376989 | + | 0.0472729i | ||||
\(859\) | −1.54687e13 | −0.969356 | −0.484678 | − | 0.874693i | \(-0.661063\pi\) | ||||
−0.484678 | + | 0.874693i | \(0.661063\pi\) | |||||||
\(860\) | −6.04773e12 | + | 2.02729e13i | −0.377007 | + | 1.26378i | ||||
\(861\) | 9.69153e12 | 0.601005 | ||||||||
\(862\) | 3.64181e12 | − | 4.56668e12i | 0.224664 | − | 0.281720i | ||||
\(863\) | 2.63596e13 | − | 3.97307e12i | 1.61767 | − | 0.243825i | 0.723099 | − | 0.690745i | \(-0.242717\pi\) |
0.894574 | + | 0.446920i | \(0.147479\pi\) | |||||||
\(864\) | −7.98725e12 | − | 3.49944e13i | −0.487624 | − | 2.13642i | ||||
\(865\) | −1.06841e13 | + | 7.28431e12i | −0.648883 | + | 0.442401i | ||||
\(866\) | −2.32443e12 | + | 4.02603e12i | −0.140438 | + | 0.243246i | ||||
\(867\) | 4.39020e12 | + | 7.60406e12i | 0.263875 | + | 0.457045i | ||||
\(868\) | −2.24931e13 | − | 1.08321e13i | −1.34496 | − | 0.647700i | ||||
\(869\) | −1.50682e13 | + | 4.64793e12i | −0.896341 | + | 0.276485i | ||||
\(870\) | −4.99220e11 | + | 6.66163e12i | −0.0295431 | + | 0.394225i | ||||
\(871\) | 2.57038e11 | − | 1.12616e12i | 0.0151327 | − | 0.0663007i | ||||
\(872\) | 3.66117e12 | + | 9.32850e12i | 0.214435 | + | 0.546371i | ||||
\(873\) | −1.93796e12 | − | 2.58603e13i | −0.112923 | − | 1.50685i | ||||
\(874\) | −7.94971e12 | − | 1.19823e12i | −0.460839 | − | 0.0694604i | ||||
\(875\) | 1.96806e11 | − | 1.82609e11i | 0.0113502 | − | 0.0105314i | ||||
\(876\) | −2.63671e12 | + | 1.26977e12i | −0.151284 | + | 0.0728547i | ||||
\(877\) | −7.29465e12 | − | 4.97340e12i | −0.416395 | − | 0.283894i | 0.336945 | − | 0.941524i | \(-0.390606\pi\) |
−0.753340 | + | 0.657631i | \(0.771559\pi\) | |||||||
\(878\) | −1.40340e12 | + | 3.57579e12i | −0.0796994 | + | 0.203071i | ||||
\(879\) | 4.36015e13 | + | 1.34493e13i | 2.46349 | + | 0.759886i | ||||
\(880\) | −1.03897e13 | − | 9.64021e12i | −0.584023 | − | 0.541894i | ||||
\(881\) | −1.77516e12 | − | 2.22598e12i | −0.0992765 | − | 0.124489i | 0.729712 | − | 0.683755i | \(-0.239654\pi\) |
−0.828988 | + | 0.559266i | \(0.811083\pi\) | |||||||
\(882\) | −4.09765e12 | − | 5.13829e12i | −0.227995 | − | 0.285897i | ||||
\(883\) | −1.89819e13 | − | 1.76126e13i | −1.05079 | − | 0.974993i | −0.0510733 | − | 0.998695i | \(-0.516264\pi\) |
−0.999719 | + | 0.0237020i | \(0.992455\pi\) | |||||||
\(884\) | −3.12285e12 | − | 9.63271e11i | −0.171995 | − | 0.0530534i | ||||
\(885\) | 8.97305e11 | − | 2.28630e12i | 0.0491694 | − | 0.125282i | ||||
\(886\) | −1.99806e10 | − | 1.36225e10i | −0.00108932 | − | 0.000742687i | ||||
\(887\) | 1.46868e12 | − | 7.07278e11i | 0.0796655 | − | 0.0383649i | −0.393627 | − | 0.919270i | \(-0.628780\pi\) |
0.473292 | + | 0.880905i | \(0.343065\pi\) | |||||||
\(888\) | 3.74749e12 | − | 3.47716e12i | 0.202247 | − | 0.187658i | ||||
\(889\) | 1.17762e13 | + | 1.77498e12i | 0.632337 | + | 0.0953095i | ||||
\(890\) | −4.95408e11 | − | 6.61076e12i | −0.0264672 | − | 0.353180i | ||||
\(891\) | 1.54409e13 | + | 3.93427e13i | 0.820771 | + | 2.09129i | ||||
\(892\) | 3.95760e12 | − | 1.73394e13i | 0.209310 | − | 0.917047i | ||||
\(893\) | −1.04611e12 | + | 1.39594e13i | −0.0550486 | + | 0.734572i | ||||
\(894\) | −8.26412e12 | + | 2.54914e12i | −0.432691 | + | 0.133467i | ||||
\(895\) | 1.32704e13 | + | 6.39067e12i | 0.691320 | + | 0.332922i | ||||
\(896\) | 1.04944e13 | + | 1.81769e13i | 0.543967 | + | 0.942178i | ||||
\(897\) | −5.91215e12 | + | 1.02401e13i | −0.304916 | + | 0.528129i | ||||
\(898\) | −5.78581e12 | + | 3.94470e12i | −0.296907 | + | 0.202428i | ||||
\(899\) | 3.14703e12 | + | 1.37880e13i | 0.160688 | + | 0.704019i | ||||
\(900\) | 4.76009e13 | − | 7.17468e12i | 2.41838 | − | 0.364511i | ||||
\(901\) | −2.68583e13 | + | 3.36793e13i | −1.35774 | + | 1.70255i | ||||
\(902\) | −9.45999e11 | −0.0475841 | ||||||||
\(903\) | −1.99825e13 | + | 4.24994e13i | −1.00013 | + | 2.12710i | ||||
\(904\) | −4.00519e12 | −0.199464 | ||||||||
\(905\) | 1.62774e13 | − | 2.04112e13i | 0.806614 | − | 1.01146i | ||||
\(906\) | −1.14712e13 | + | 1.72901e12i | −0.565631 | + | 0.0852551i | ||||
\(907\) | −2.55531e12 | − | 1.11956e13i | −0.125375 | − | 0.549304i | −0.998129 | − | 0.0611436i | \(-0.980525\pi\) |
0.872754 | − | 0.488160i | \(-0.162332\pi\) | |||||||
\(908\) | 1.81426e13 | − | 1.23694e13i | 0.885752 | − | 0.603895i | ||||
\(909\) | 3.70924e13 | − | 6.42460e13i | 1.80197 | − | 3.12111i | ||||
\(910\) | 8.18647e11 | + | 1.41794e12i | 0.0395741 | + | 0.0685443i | ||||
\(911\) | −2.82723e13 | − | 1.36152e13i | −1.35997 | − | 0.654925i | −0.395337 | − | 0.918536i | \(-0.629372\pi\) |
−0.964629 | + | 0.263611i | \(0.915087\pi\) | |||||||
\(912\) | 2.84298e13 | − | 8.76943e12i | 1.36081 | − | 0.419754i | ||||
\(913\) | −8.34590e10 | + | 1.11368e12i | −0.00397516 | + | 0.0530448i | ||||
\(914\) | 2.01660e12 | − | 8.83531e12i | 0.0955789 | − | 0.418759i | ||||
\(915\) | 1.34724e13 | + | 3.43270e13i | 0.635402 | + | 1.61898i | ||||
\(916\) | −4.94812e11 | − | 6.60281e12i | −0.0232226 | − | 0.309884i | ||||
\(917\) | −4.75717e13 | − | 7.17028e12i | −2.22171 | − | 0.334868i | ||||
\(918\) | 1.43298e13 | − | 1.32961e13i | 0.665961 | − | 0.617922i | ||||
\(919\) | 3.34162e13 | − | 1.60924e13i | 1.54539 | − | 0.744220i | 0.549560 | − | 0.835454i | \(-0.314795\pi\) |
0.995829 | + | 0.0912341i | \(0.0290811\pi\) | |||||||
\(920\) | 2.43079e13 | + | 1.65729e13i | 1.11867 | + | 0.762697i | ||||
\(921\) | 5.27925e12 | − | 1.34513e13i | 0.241771 | − | 0.616022i | ||||
\(922\) | 3.80399e11 | + | 1.17337e11i | 0.0173360 | + | 0.00534746i | ||||
\(923\) | 1.59502e12 | + | 1.47997e12i | 0.0723368 | + | 0.0671187i | ||||
\(924\) | −2.13287e13 | − | 2.67453e13i | −0.962587 | − | 1.20705i | ||||
\(925\) | 3.99835e12 | + | 5.01377e12i | 0.179574 | + | 0.225178i | ||||
\(926\) | 4.08528e11 | + | 3.79058e11i | 0.0182588 | + | 0.0169417i | ||||
\(927\) | −1.02020e14 | − | 3.14689e13i | −4.53759 | − | 1.39966i | ||||
\(928\) | 3.30623e12 | − | 8.42414e12i | 0.146341 | − | 0.372872i | ||||
\(929\) | 5.09995e12 | + | 3.47709e12i | 0.224644 | + | 0.153160i | 0.670413 | − | 0.741988i | \(-0.266117\pi\) |
−0.445768 | + | 0.895148i | \(0.647069\pi\) | |||||||
\(930\) | −1.88989e13 | + | 9.10125e12i | −0.828446 | + | 0.398959i | ||||
\(931\) | 8.42558e12 | − | 7.81779e12i | 0.367558 | − | 0.341044i | ||||
\(932\) | 8.16702e12 | + | 1.23098e12i | 0.354562 | + | 0.0534416i | ||||
\(933\) | 5.25907e12 | + | 7.01774e13i | 0.227217 | + | 3.03201i | ||||
\(934\) | 1.44600e12 | + | 3.68435e12i | 0.0621738 | + | 0.158416i | ||||
\(935\) | 5.88148e12 | − | 2.57685e13i | 0.251672 | − | 1.10265i | ||||
\(936\) | −3.98165e11 | + | 5.31315e12i | −0.0169560 | + | 0.226262i | ||||
\(937\) | −3.56733e13 | + | 1.10037e13i | −1.51187 | + | 0.466350i | −0.936240 | − | 0.351360i | \(-0.885719\pi\) |
−0.575630 | + | 0.817710i | \(0.695243\pi\) | |||||||
\(938\) | −2.77060e12 | − | 1.33425e12i | −0.116859 | − | 0.0562762i | ||||
\(939\) | −2.93054e11 | − | 5.07585e11i | −0.0123013 | − | 0.0213066i | ||||
\(940\) | 1.23456e13 | − | 2.13831e13i | 0.515745 | − | 0.893297i | ||||
\(941\) | 2.71124e13 | − | 1.84849e13i | 1.12723 | − | 0.768535i | 0.151709 | − | 0.988425i | \(-0.451522\pi\) |
0.975525 | + | 0.219890i | \(0.0705699\pi\) | |||||||
\(942\) | −1.69411e12 | − | 7.42238e12i | −0.0700991 | − | 0.307124i | ||||
\(943\) | −1.15238e13 | + | 1.73694e12i | −0.474563 | + | 0.0715288i | ||||
\(944\) | −6.05816e11 | + | 7.59669e11i | −0.0248294 | + | 0.0311351i | ||||
\(945\) | 1.31115e14 | 5.34821 | ||||||||
\(946\) | 1.95051e12 | − | 4.14841e12i | 0.0791841 | − | 0.168411i | ||||
\(947\) | 4.80179e13 | 1.94012 | 0.970060 | − | 0.242865i | \(-0.0780872\pi\) | ||||
0.970060 | + | 0.242865i | \(0.0780872\pi\) | |||||||
\(948\) | −3.64023e13 | + | 4.56471e13i | −1.46383 | + | 1.83559i | ||||
\(949\) | 4.01787e11 | − | 6.05596e10i | 0.0160804 | − | 0.00242374i | ||||
\(950\) | −1.39932e12 | − | 6.13084e12i | −0.0557394 | − | 0.244210i | ||||
\(951\) | −6.45786e13 | + | 4.40290e13i | −2.56022 | + | 1.74553i | ||||
\(952\) | −9.02503e12 | + | 1.56318e13i | −0.356108 | + | 0.616798i | ||||
\(953\) | 3.67683e12 | + | 6.36846e12i | 0.144396 | + | 0.250101i | 0.929147 | − | 0.369709i | \(-0.120543\pi\) |
−0.784751 | + | 0.619811i | \(0.787209\pi\) | |||||||
\(954\) | 3.04990e13 | + | 1.46876e13i | 1.19212 | + | 0.574093i | ||||
\(955\) | 8.24250e12 | − | 2.54248e12i | 0.320659 | − | 0.0989103i | ||||
\(956\) | −1.51325e12 | + | 2.01929e13i | −0.0585937 | + | 0.781878i | ||||
\(957\) | −4.31217e12 | + | 1.88929e13i | −0.166185 | + | 0.728105i | ||||
\(958\) | −2.68847e12 | − | 6.85010e12i | −0.103124 | − | 0.262756i | ||||
\(959\) | −1.58692e12 | − | 2.11760e13i | −0.0605859 | − | 0.808463i | ||||
\(960\) | −4.24943e13 | − | 6.40499e12i | −1.61477 | − | 0.243387i | ||||
\(961\) | −1.31718e13 | + | 1.22216e13i | −0.498182 | + | 0.462246i | ||||
\(962\) | −3.08235e11 | + | 1.48438e11i | −0.0116036 | + | 0.00558801i | ||||
\(963\) | 2.49637e13 | + | 1.70200e13i | 0.935385 | + | 0.637735i | ||||
\(964\) | −3.24367e12 | + | 8.26473e12i | −0.120973 | + | 0.308235i | ||||
\(965\) | 2.84438e13 | + | 8.77376e12i | 1.05588 | + | 0.325696i | ||||
\(966\) | 2.30753e13 | + | 2.14108e13i | 0.852610 | + | 0.791106i | ||||
\(967\) | −3.99929e12 | − | 5.01495e12i | −0.147083 | − | 0.184437i | 0.702832 | − | 0.711356i | \(-0.251918\pi\) |
−0.849915 | + | 0.526919i | \(0.823347\pi\) | |||||||
\(968\) | −4.34913e12 | − | 5.45364e12i | −0.159207 | − | 0.199640i | ||||
\(969\) | 4.06718e13 | + | 3.77379e13i | 1.48196 | + | 1.37506i | ||||
\(970\) | 5.70988e12 | + | 1.76126e12i | 0.207088 | + | 0.0638780i | ||||
\(971\) | −2.78906e12 | + | 7.10641e12i | −0.100687 | + | 0.256545i | −0.972337 | − | 0.233583i | \(-0.924955\pi\) |
0.871650 | + | 0.490128i | \(0.163050\pi\) | |||||||
\(972\) | 6.40759e13 | + | 4.36862e13i | 2.30248 | + | 1.56981i | ||||
\(973\) | 1.97497e13 | − | 9.51097e12i | 0.706404 | − | 0.340186i | ||||
\(974\) | −7.30853e12 | + | 6.78132e12i | −0.260204 | + | 0.241434i | ||||
\(975\) | −9.14568e12 | − | 1.37849e12i | −0.324112 | − | 0.0488520i | ||||
\(976\) | −1.09021e12 | − | 1.45478e13i | −0.0384580 | − | 0.513186i | ||||
\(977\) | −1.99003e12 | − | 5.07051e12i | −0.0698769 | − | 0.178043i | 0.891669 | − | 0.452688i | \(-0.149535\pi\) |
−0.961546 | + | 0.274645i | \(0.911440\pi\) | |||||||
\(978\) | 4.45428e12 | − | 1.95155e13i | 0.155687 | − | 0.682109i | ||||
\(979\) | 1.43712e12 | − | 1.91770e13i | 0.0500000 | − | 0.667203i | ||||
\(980\) | −1.93726e13 | + | 5.97565e12i | −0.670919 | + | 0.206951i | ||||
\(981\) | −7.85263e13 | − | 3.78163e13i | −2.70710 | − | 1.30367i | ||||
\(982\) | −4.04596e12 | − | 7.00780e12i | −0.138842 | − | 0.240481i | ||||
\(983\) | 3.02384e12 | − | 5.23745e12i | 0.103292 | − | 0.178908i | −0.809747 | − | 0.586779i | \(-0.800396\pi\) |
0.913039 | + | 0.407872i | \(0.133729\pi\) | |||||||
\(984\) | −6.00416e12 | + | 4.09357e12i | −0.204162 | + | 0.139195i | ||||
\(985\) | 7.46458e12 | + | 3.27044e13i | 0.252663 | + | 1.10699i | ||||
\(986\) | 4.87345e12 | − | 7.34555e11i | 0.164207 | − | 0.0247502i | ||||
\(987\) | 3.41739e13 | − | 4.28528e13i | 1.14622 | − | 1.43731i | ||||
\(988\) | −4.49131e12 | −0.149957 | ||||||||
\(989\) | 1.61436e13 | − | 5.41157e13i | 0.536558 | − | 1.79862i | ||||
\(990\) | −2.07703e13 | −0.687202 | ||||||||
\(991\) | −3.58324e13 | + | 4.49325e13i | −1.18017 | + | 1.47989i | −0.337611 | + | 0.941286i | \(0.609619\pi\) |
−0.842560 | + | 0.538602i | \(0.818953\pi\) | |||||||
\(992\) | 2.80988e13 | − | 4.23521e12i | 0.921267 | − | 0.138859i | ||||
\(993\) | −2.07142e12 | − | 9.07550e12i | −0.0676079 | − | 0.296210i | ||||
\(994\) | 4.78602e12 | − | 3.26306e12i | 0.155502 | − | 0.106020i | ||||
\(995\) | 2.30466e13 | − | 3.99179e13i | 0.745424 | − | 1.29111i | ||||
\(996\) | 2.06752e12 | + | 3.58104e12i | 0.0665705 | + | 0.115304i | ||||
\(997\) | −5.88395e12 | − | 2.83356e12i | −0.188600 | − | 0.0908248i | 0.337201 | − | 0.941433i | \(-0.390520\pi\) |
−0.525800 | + | 0.850608i | \(0.676234\pi\) | |||||||
\(998\) | −1.04360e13 | + | 3.21909e12i | −0.333003 | + | 0.102718i | ||||
\(999\) | −2.04735e12 | + | 2.73200e13i | −0.0650350 | + | 0.867832i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.g.a.24.16 | yes | 384 | |
43.9 | even | 21 | inner | 43.10.g.a.9.16 | ✓ | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.16 | ✓ | 384 | 43.9 | even | 21 | inner | |
43.10.g.a.24.16 | yes | 384 | 1.1 | even | 1 | trivial |