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 | 36.20 | ||
Character | \(\chi\) | \(=\) | 43.36 |
Dual form | 43.10.c.a.6.20 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.33792 | 0.191711 | 0.0958555 | − | 0.995395i | \(-0.469441\pi\) | ||||
0.0958555 | + | 0.995395i | \(0.469441\pi\) | |||||||
\(3\) | −9.83652 | − | 17.0374i | −0.0701126 | − | 0.121439i | 0.828838 | − | 0.559489i | \(-0.189003\pi\) |
−0.898950 | + | 0.438050i | \(0.855669\pi\) | |||||||
\(4\) | −493.182 | −0.963247 | ||||||||
\(5\) | 215.967 | + | 374.066i | 0.154533 | + | 0.267660i | 0.932889 | − | 0.360164i | \(-0.117279\pi\) |
−0.778356 | + | 0.627824i | \(0.783946\pi\) | |||||||
\(6\) | −42.6701 | − | 73.9068i | −0.0134413 | − | 0.0232811i | ||||
\(7\) | 2230.56 | − | 3863.44i | 0.351134 | − | 0.608181i | −0.635315 | − | 0.772253i | \(-0.719130\pi\) |
0.986448 | + | 0.164072i | \(0.0524629\pi\) | |||||||
\(8\) | −4360.41 | −0.376376 | ||||||||
\(9\) | 9647.99 | − | 16710.8i | 0.490168 | − | 0.848997i | ||||
\(10\) | 936.849 | + | 1622.67i | 0.0296258 | + | 0.0513133i | ||||
\(11\) | −27416.0 | −0.564595 | −0.282297 | − | 0.959327i | \(-0.591097\pi\) | ||||
−0.282297 | + | 0.959327i | \(0.591097\pi\) | |||||||
\(12\) | 4851.20 | + | 8402.52i | 0.0675357 | + | 0.116975i | ||||
\(13\) | −46001.4 | + | 79676.7i | −0.446710 | + | 0.773724i | −0.998170 | − | 0.0604772i | \(-0.980738\pi\) |
0.551460 | + | 0.834202i | \(0.314071\pi\) | |||||||
\(14\) | 9676.00 | − | 16759.3i | 0.0673162 | − | 0.116595i | ||||
\(15\) | 4248.73 | − | 7359.01i | 0.0216695 | − | 0.0375326i | ||||
\(16\) | 233594. | 0.891091 | ||||||||
\(17\) | −200882. | + | 347939.i | −0.583340 | + | 1.01037i | 0.411740 | + | 0.911301i | \(0.364921\pi\) |
−0.995080 | + | 0.0990735i | \(0.968412\pi\) | |||||||
\(18\) | 41852.2 | − | 72490.2i | 0.0939707 | − | 0.162762i | ||||
\(19\) | 390211. | + | 675865.i | 0.686923 | + | 1.18978i | 0.972828 | + | 0.231527i | \(0.0743722\pi\) |
−0.285906 | + | 0.958258i | \(0.592294\pi\) | |||||||
\(20\) | −106511. | − | 184483.i | −0.148854 | − | 0.257822i | ||||
\(21\) | −87763.8 | −0.0984755 | ||||||||
\(22\) | −118929. | −0.108239 | ||||||||
\(23\) | 576163. | + | 997943.i | 0.429309 | + | 0.743585i | 0.996812 | − | 0.0797864i | \(-0.0254238\pi\) |
−0.567503 | + | 0.823371i | \(0.692090\pi\) | |||||||
\(24\) | 42891.2 | + | 74289.8i | 0.0263887 | + | 0.0457065i | ||||
\(25\) | 883279. | − | 1.52988e6i | 0.452239 | − | 0.783301i | ||||
\(26\) | −199550. | + | 345632.i | −0.0856392 | + | 0.148331i | ||||
\(27\) | −766835. | −0.277693 | ||||||||
\(28\) | −1.10007e6 | + | 1.90538e6i | −0.338228 | + | 0.585829i | ||||
\(29\) | −1.36339e6 | + | 2.36146e6i | −0.357955 | + | 0.619997i | −0.987619 | − | 0.156871i | \(-0.949859\pi\) |
0.629664 | + | 0.776868i | \(0.283193\pi\) | |||||||
\(30\) | 18430.7 | − | 31922.8i | 0.00415428 | − | 0.00719542i | ||||
\(31\) | 2.80533e6 | + | 4.85898e6i | 0.545578 | + | 0.944969i | 0.998570 | + | 0.0534545i | \(0.0170232\pi\) |
−0.452992 | + | 0.891514i | \(0.649643\pi\) | |||||||
\(32\) | 3.24584e6 | 0.547208 | ||||||||
\(33\) | 269678. | + | 467096.i | 0.0395852 | + | 0.0685636i | ||||
\(34\) | −871413. | + | 1.50933e6i | −0.111833 | + | 0.193700i | ||||
\(35\) | 1.92691e6 | 0.217048 | ||||||||
\(36\) | −4.75822e6 | + | 8.24147e6i | −0.472153 | + | 0.817793i | ||||
\(37\) | 5.55400e6 | + | 9.61980e6i | 0.487189 | + | 0.843837i | 0.999892 | − | 0.0147298i | \(-0.00468881\pi\) |
−0.512702 | + | 0.858567i | \(0.671355\pi\) | |||||||
\(38\) | 1.69270e6 | + | 2.93185e6i | 0.131691 | + | 0.228095i | ||||
\(39\) | 1.80997e6 | 0.125280 | ||||||||
\(40\) | −941704. | − | 1.63108e6i | −0.0581627 | − | 0.100741i | ||||
\(41\) | 8.96775e6 | 0.495628 | 0.247814 | − | 0.968808i | \(-0.420288\pi\) | ||||
0.247814 | + | 0.968808i | \(0.420288\pi\) | |||||||
\(42\) | −380713. | −0.0188788 | ||||||||
\(43\) | −1.88438e7 | + | 1.21451e7i | −0.840543 | + | 0.541744i | ||||
\(44\) | 1.35211e7 | 0.543844 | ||||||||
\(45\) | 8.33459e6 | 0.302990 | ||||||||
\(46\) | 2.49935e6 | + | 4.32900e6i | 0.0823032 | + | 0.142553i | ||||
\(47\) | −3.27725e7 | −0.979646 | −0.489823 | − | 0.871822i | \(-0.662939\pi\) | ||||
−0.489823 | + | 0.871822i | \(0.662939\pi\) | |||||||
\(48\) | −2.29775e6 | − | 3.97983e6i | −0.0624767 | − | 0.108213i | ||||
\(49\) | 1.02260e7 | + | 1.77120e7i | 0.253410 | + | 0.438919i | ||||
\(50\) | 3.83160e6 | − | 6.63652e6i | 0.0866992 | − | 0.150167i | ||||
\(51\) | 7.90394e6 | 0.163598 | ||||||||
\(52\) | 2.26871e7 | − | 3.92952e7i | 0.430292 | − | 0.745288i | ||||
\(53\) | −2.28299e7 | − | 3.95426e7i | −0.397432 | − | 0.688373i | 0.595976 | − | 0.803002i | \(-0.296765\pi\) |
−0.993408 | + | 0.114629i | \(0.963432\pi\) | |||||||
\(54\) | −3.32647e6 | −0.0532368 | ||||||||
\(55\) | −5.92095e6 | − | 1.02554e7i | −0.0872488 | − | 0.151119i | ||||
\(56\) | −9.72614e6 | + | 1.68462e7i | −0.132158 | + | 0.228905i | ||||
\(57\) | 7.67663e6 | − | 1.32963e7i | 0.0963238 | − | 0.166838i | ||||
\(58\) | −5.91428e6 | + | 1.02438e7i | −0.0686240 | + | 0.118860i | ||||
\(59\) | 9.98543e7 | 1.07283 | 0.536417 | − | 0.843953i | \(-0.319777\pi\) | ||||
0.536417 | + | 0.843953i | \(0.319777\pi\) | |||||||
\(60\) | −2.09540e6 | + | 3.62934e6i | −0.0208731 | + | 0.0361532i | ||||
\(61\) | −5.24475e7 | + | 9.08417e7i | −0.484998 | + | 0.840042i | −0.999851 | − | 0.0172366i | \(-0.994513\pi\) |
0.514853 | + | 0.857278i | \(0.327846\pi\) | |||||||
\(62\) | 1.21693e7 | + | 2.10779e7i | 0.104593 | + | 0.181161i | ||||
\(63\) | −4.30408e7 | − | 7.45489e7i | −0.344229 | − | 0.596223i | ||||
\(64\) | −1.05520e8 | −0.786186 | ||||||||
\(65\) | −3.97391e7 | −0.276127 | ||||||||
\(66\) | 1.16984e6 | + | 2.02623e6i | 0.00758892 | + | 0.0131444i | ||||
\(67\) | −1.37865e8 | − | 2.38789e8i | −0.835830 | − | 1.44770i | −0.893353 | − | 0.449355i | \(-0.851654\pi\) |
0.0575235 | − | 0.998344i | \(-0.481680\pi\) | |||||||
\(68\) | 9.90717e7 | − | 1.71597e8i | 0.561901 | − | 0.973240i | ||||
\(69\) | 1.13349e7 | − | 1.96326e7i | 0.0601999 | − | 0.104269i | ||||
\(70\) | 8.35879e6 | 0.0416104 | ||||||||
\(71\) | 1.39933e8 | − | 2.42371e8i | 0.653518 | − | 1.13193i | −0.328745 | − | 0.944419i | \(-0.606626\pi\) |
0.982263 | − | 0.187508i | \(-0.0600411\pi\) | |||||||
\(72\) | −4.20691e7 | + | 7.28659e7i | −0.184488 | + | 0.319542i | ||||
\(73\) | 8.73252e7 | − | 1.51252e8i | 0.359904 | − | 0.623372i | −0.628041 | − | 0.778181i | \(-0.716143\pi\) |
0.987944 | + | 0.154809i | \(0.0494761\pi\) | |||||||
\(74\) | 2.40928e7 | + | 4.17300e7i | 0.0933996 | + | 0.161773i | ||||
\(75\) | −3.47536e7 | −0.126830 | ||||||||
\(76\) | −1.92445e8 | − | 3.33325e8i | −0.661676 | − | 1.14606i | ||||
\(77\) | −6.11530e7 | + | 1.05920e8i | −0.198248 | + | 0.343376i | ||||
\(78\) | 7.85153e6 | 0.0240175 | ||||||||
\(79\) | −1.14255e8 | + | 1.97896e8i | −0.330031 | + | 0.571631i | −0.982518 | − | 0.186170i | \(-0.940393\pi\) |
0.652486 | + | 0.757800i | \(0.273726\pi\) | |||||||
\(80\) | 5.04487e7 | + | 8.73797e7i | 0.137703 | + | 0.238509i | ||||
\(81\) | −1.82358e8 | − | 3.15854e8i | −0.470699 | − | 0.815274i | ||||
\(82\) | 3.89014e7 | 0.0950174 | ||||||||
\(83\) | 3.61730e8 | + | 6.26535e8i | 0.836629 | + | 1.44908i | 0.892697 | + | 0.450658i | \(0.148810\pi\) |
−0.0560674 | + | 0.998427i | \(0.517856\pi\) | |||||||
\(84\) | 4.32835e7 | 0.0948563 | ||||||||
\(85\) | −1.73536e8 | −0.360582 | ||||||||
\(86\) | −8.17429e7 | + | 5.26847e7i | −0.161141 | + | 0.103858i | ||||
\(87\) | 5.36440e7 | 0.100389 | ||||||||
\(88\) | 1.19545e8 | 0.212500 | ||||||||
\(89\) | 4.13765e8 | + | 7.16662e8i | 0.699034 | + | 1.21076i | 0.968802 | + | 0.247838i | \(0.0797200\pi\) |
−0.269767 | + | 0.962926i | \(0.586947\pi\) | |||||||
\(90\) | 3.61548e7 | 0.0580865 | ||||||||
\(91\) | 2.05218e8 | + | 3.55447e8i | 0.313710 | + | 0.543361i | ||||
\(92\) | −2.84153e8 | − | 4.92168e8i | −0.413531 | − | 0.716256i | ||||
\(93\) | 5.51894e7 | − | 9.55909e7i | 0.0765038 | − | 0.132508i | ||||
\(94\) | −1.42165e8 | −0.187809 | ||||||||
\(95\) | −1.68545e8 | + | 2.91929e8i | −0.212305 | + | 0.367723i | ||||
\(96\) | −3.19278e7 | − | 5.53006e7i | −0.0383662 | − | 0.0664521i | ||||
\(97\) | 1.08266e9 | 1.24170 | 0.620852 | − | 0.783928i | \(-0.286787\pi\) | ||||
0.620852 | + | 0.783928i | \(0.286787\pi\) | |||||||
\(98\) | 4.43597e7 | + | 7.68332e7i | 0.0485815 | + | 0.0841457i | ||||
\(99\) | −2.64509e8 | + | 4.58143e8i | −0.276747 | + | 0.479339i | ||||
\(100\) | −4.35618e8 | + | 7.54512e8i | −0.435618 | + | 0.754512i | ||||
\(101\) | −1.18976e7 | + | 2.06073e7i | −0.0113766 | + | 0.0197049i | −0.871658 | − | 0.490115i | \(-0.836955\pi\) |
0.860281 | + | 0.509820i | \(0.170288\pi\) | |||||||
\(102\) | 3.42867e7 | 0.0313635 | ||||||||
\(103\) | −6.11800e8 | + | 1.05967e9i | −0.535601 | + | 0.927689i | 0.463533 | + | 0.886080i | \(0.346582\pi\) |
−0.999134 | + | 0.0416089i | \(0.986752\pi\) | |||||||
\(104\) | 2.00585e8 | − | 3.47423e8i | 0.168131 | − | 0.291211i | ||||
\(105\) | −1.89541e7 | − | 3.28294e7i | −0.0152178 | − | 0.0263579i | ||||
\(106\) | −9.90345e7 | − | 1.71533e8i | −0.0761921 | − | 0.131969i | ||||
\(107\) | −9.50953e8 | −0.701345 | −0.350673 | − | 0.936498i | \(-0.614047\pi\) | ||||
−0.350673 | + | 0.936498i | \(0.614047\pi\) | |||||||
\(108\) | 3.78189e8 | 0.267487 | ||||||||
\(109\) | 4.35845e8 | + | 7.54905e8i | 0.295742 | + | 0.512239i | 0.975157 | − | 0.221514i | \(-0.0710999\pi\) |
−0.679416 | + | 0.733754i | \(0.737767\pi\) | |||||||
\(110\) | −2.56846e7 | − | 4.44871e7i | −0.0167266 | − | 0.0289712i | ||||
\(111\) | 1.09264e8 | − | 1.89251e8i | 0.0683162 | − | 0.118327i | ||||
\(112\) | 5.21046e8 | − | 9.02478e8i | 0.312892 | − | 0.541945i | ||||
\(113\) | 4.73695e8 | 0.273304 | 0.136652 | − | 0.990619i | \(-0.456366\pi\) | ||||
0.136652 | + | 0.990619i | \(0.456366\pi\) | |||||||
\(114\) | 3.33006e7 | − | 5.76784e7i | 0.0184663 | − | 0.0319846i | ||||
\(115\) | −2.48864e8 | + | 4.31046e8i | −0.132685 | + | 0.229817i | ||||
\(116\) | 6.72399e8 | − | 1.16463e9i | 0.344799 | − | 0.597210i | ||||
\(117\) | 8.87641e8 | + | 1.53744e9i | 0.437926 | + | 0.758511i | ||||
\(118\) | 4.33160e8 | 0.205674 | ||||||||
\(119\) | 8.96160e8 | + | 1.55220e9i | 0.409661 | + | 0.709553i | ||||
\(120\) | −1.85262e7 | + | 3.20883e7i | −0.00815587 | + | 0.0141264i | ||||
\(121\) | −1.60631e9 | −0.681233 | ||||||||
\(122\) | −2.27513e8 | + | 3.94064e8i | −0.0929795 | + | 0.161045i | ||||
\(123\) | −8.82115e7 | − | 1.52787e8i | −0.0347498 | − | 0.0601884i | ||||
\(124\) | −1.38354e9 | − | 2.39636e9i | −0.525526 | − | 0.910238i | ||||
\(125\) | 1.60666e9 | 0.588611 | ||||||||
\(126\) | −1.86708e8 | − | 3.23387e8i | −0.0659925 | − | 0.114302i | ||||
\(127\) | 6.43419e8 | 0.219471 | 0.109736 | − | 0.993961i | \(-0.465000\pi\) | ||||
0.109736 | + | 0.993961i | \(0.465000\pi\) | |||||||
\(128\) | −2.11961e9 | −0.697928 | ||||||||
\(129\) | 3.92278e8 | + | 2.01582e8i | 0.124721 | + | 0.0640912i | ||||
\(130\) | −1.72385e8 | −0.0529365 | ||||||||
\(131\) | −2.94401e9 | −0.873411 | −0.436706 | − | 0.899604i | \(-0.643855\pi\) | ||||
−0.436706 | + | 0.899604i | \(0.643855\pi\) | |||||||
\(132\) | −1.33000e8 | − | 2.30364e8i | −0.0381303 | − | 0.0660436i | ||||
\(133\) | 3.48155e9 | 0.964807 | ||||||||
\(134\) | −5.98048e8 | − | 1.03585e9i | −0.160238 | − | 0.277540i | ||||
\(135\) | −1.65611e8 | − | 2.86847e8i | −0.0429129 | − | 0.0743272i | ||||
\(136\) | 8.75929e8 | − | 1.51715e9i | 0.219555 | − | 0.380281i | ||||
\(137\) | −3.38616e9 | −0.821231 | −0.410615 | − | 0.911809i | \(-0.634686\pi\) | ||||
−0.410615 | + | 0.911809i | \(0.634686\pi\) | |||||||
\(138\) | 4.91698e7 | − | 8.51646e7i | 0.0115410 | − | 0.0199896i | ||||
\(139\) | −1.62404e9 | − | 2.81292e9i | −0.369003 | − | 0.639132i | 0.620407 | − | 0.784280i | \(-0.286967\pi\) |
−0.989410 | + | 0.145148i | \(0.953634\pi\) | |||||||
\(140\) | −9.50318e8 | −0.209070 | ||||||||
\(141\) | 3.22367e8 | + | 5.58357e8i | 0.0686855 | + | 0.118967i | ||||
\(142\) | 6.07019e8 | − | 1.05139e9i | 0.125287 | − | 0.217003i | ||||
\(143\) | 1.26117e9 | − | 2.18442e9i | 0.252210 | − | 0.436841i | ||||
\(144\) | 2.25371e9 | − | 3.90355e9i | 0.436785 | − | 0.756534i | ||||
\(145\) | −1.17779e9 | −0.221264 | ||||||||
\(146\) | 3.78810e8 | − | 6.56118e8i | 0.0689975 | − | 0.119507i | ||||
\(147\) | 2.01177e8 | − | 3.48449e8i | 0.0355345 | − | 0.0615475i | ||||
\(148\) | −2.73913e9 | − | 4.74432e9i | −0.469284 | − | 0.812823i | ||||
\(149\) | −5.27498e9 | − | 9.13653e9i | −0.876763 | − | 1.51860i | −0.854873 | − | 0.518838i | \(-0.826365\pi\) |
−0.0218904 | − | 0.999760i | \(-0.506968\pi\) | |||||||
\(150\) | −1.50758e8 | −0.0243148 | ||||||||
\(151\) | 1.02555e10 | 1.60532 | 0.802658 | − | 0.596439i | \(-0.203418\pi\) | ||||
0.802658 | + | 0.596439i | \(0.203418\pi\) | |||||||
\(152\) | −1.70148e9 | − | 2.94704e9i | −0.258541 | − | 0.447807i | ||||
\(153\) | 3.87622e9 | + | 6.71381e9i | 0.571870 | + | 0.990508i | ||||
\(154\) | −2.65277e8 | + | 4.59473e8i | −0.0380064 | + | 0.0658290i | ||||
\(155\) | −1.21172e9 | + | 2.09876e9i | −0.168620 | + | 0.292059i | ||||
\(156\) | −8.92647e8 | −0.120676 | ||||||||
\(157\) | −6.60243e9 | + | 1.14358e10i | −0.867273 | + | 1.50216i | −0.00250008 | + | 0.999997i | \(0.500796\pi\) |
−0.864773 | + | 0.502164i | \(0.832538\pi\) | |||||||
\(158\) | −4.95631e8 | + | 8.58459e8i | −0.0632706 | + | 0.109588i | ||||
\(159\) | −4.49134e8 | + | 7.77923e8i | −0.0557300 | + | 0.0965272i | ||||
\(160\) | 7.00995e8 | + | 1.21416e9i | 0.0845619 | + | 0.146466i | ||||
\(161\) | 5.14066e9 | 0.602979 | ||||||||
\(162\) | −7.91057e8 | − | 1.37015e9i | −0.0902381 | − | 0.156297i | ||||
\(163\) | −2.94251e9 | + | 5.09657e9i | −0.326492 | + | 0.565501i | −0.981813 | − | 0.189849i | \(-0.939200\pi\) |
0.655321 | + | 0.755351i | \(0.272533\pi\) | |||||||
\(164\) | −4.42274e9 | −0.477413 | ||||||||
\(165\) | −1.16483e8 | + | 2.01755e8i | −0.0122345 | + | 0.0211907i | ||||
\(166\) | 1.56916e9 | + | 2.71786e9i | 0.160391 | + | 0.277805i | ||||
\(167\) | −3.10415e9 | − | 5.37655e9i | −0.308830 | − | 0.534909i | 0.669277 | − | 0.743013i | \(-0.266604\pi\) |
−0.978107 | + | 0.208104i | \(0.933271\pi\) | |||||||
\(168\) | 3.82686e8 | 0.0370638 | ||||||||
\(169\) | 1.07000e9 | + | 1.85329e9i | 0.100900 | + | 0.174764i | ||||
\(170\) | −7.52786e8 | −0.0691276 | ||||||||
\(171\) | 1.50590e10 | 1.34683 | ||||||||
\(172\) | 9.29342e9 | − | 5.98977e9i | 0.809651 | − | 0.521834i | ||||
\(173\) | 5.08044e9 | 0.431215 | 0.215607 | − | 0.976480i | \(-0.430827\pi\) | ||||
0.215607 | + | 0.976480i | \(0.430827\pi\) | |||||||
\(174\) | 2.32704e8 | 0.0192456 | ||||||||
\(175\) | −3.94041e9 | − | 6.82499e9i | −0.317593 | − | 0.550086i | ||||
\(176\) | −6.40422e9 | −0.503106 | ||||||||
\(177\) | −9.82219e8 | − | 1.70125e9i | −0.0752192 | − | 0.130283i | ||||
\(178\) | 1.79488e9 | + | 3.10882e9i | 0.134013 | + | 0.232117i | ||||
\(179\) | −9.74106e9 | + | 1.68720e10i | −0.709198 | + | 1.22837i | 0.255957 | + | 0.966688i | \(0.417610\pi\) |
−0.965155 | + | 0.261679i | \(0.915724\pi\) | |||||||
\(180\) | −4.11047e9 | −0.291854 | ||||||||
\(181\) | −8.80620e9 | + | 1.52528e10i | −0.609866 | + | 1.05632i | 0.381396 | + | 0.924412i | \(0.375444\pi\) |
−0.991262 | + | 0.131908i | \(0.957890\pi\) | |||||||
\(182\) | 8.90218e8 | + | 1.54190e9i | 0.0601416 | + | 0.104168i | ||||
\(183\) | 2.06360e9 | 0.136018 | ||||||||
\(184\) | −2.51230e9 | − | 4.35144e9i | −0.161582 | − | 0.279868i | ||||
\(185\) | −2.39896e9 | + | 4.15512e9i | −0.150574 | + | 0.260802i | ||||
\(186\) | 2.39408e8 | − | 4.14666e8i | 0.0146666 | − | 0.0254033i | ||||
\(187\) | 5.50739e9 | − | 9.53909e9i | 0.329351 | − | 0.570453i | ||||
\(188\) | 1.61628e10 | 0.943641 | ||||||||
\(189\) | −1.71047e9 | + | 2.96262e9i | −0.0975074 | + | 0.168888i | ||||
\(190\) | −7.31137e8 | + | 1.26637e9i | −0.0407012 | + | 0.0704966i | ||||
\(191\) | 3.45098e9 | + | 5.97727e9i | 0.187626 | + | 0.324977i | 0.944458 | − | 0.328632i | \(-0.106587\pi\) |
−0.756833 | + | 0.653609i | \(0.773254\pi\) | |||||||
\(192\) | 1.03795e9 | + | 1.79778e9i | 0.0551215 | + | 0.0954732i | ||||
\(193\) | 2.26422e10 | 1.17466 | 0.587329 | − | 0.809348i | \(-0.300180\pi\) | ||||
0.587329 | + | 0.809348i | \(0.300180\pi\) | |||||||
\(194\) | 4.69649e9 | 0.238048 | ||||||||
\(195\) | 3.90895e8 | + | 6.77049e8i | 0.0193599 | + | 0.0335324i | ||||
\(196\) | −5.04329e9 | − | 8.73524e9i | −0.244097 | − | 0.422788i | ||||
\(197\) | −7.58769e9 | + | 1.31423e10i | −0.358932 | + | 0.621688i | −0.987783 | − | 0.155838i | \(-0.950192\pi\) |
0.628851 | + | 0.777526i | \(0.283526\pi\) | |||||||
\(198\) | −1.14742e9 | + | 1.98739e9i | −0.0530554 | + | 0.0918946i | ||||
\(199\) | −2.34777e10 | −1.06125 | −0.530625 | − | 0.847607i | \(-0.678043\pi\) | ||||
−0.530625 | + | 0.847607i | \(0.678043\pi\) | |||||||
\(200\) | −3.85145e9 | + | 6.67091e9i | −0.170212 | + | 0.294816i | ||||
\(201\) | −2.71223e9 | + | 4.69771e9i | −0.117204 | + | 0.203004i | ||||
\(202\) | −5.16110e7 | + | 8.93928e7i | −0.00218103 | + | 0.00377765i | ||||
\(203\) | 6.08224e9 | + | 1.05347e10i | 0.251380 | + | 0.435403i | ||||
\(204\) | −3.89808e9 | −0.157585 | ||||||||
\(205\) | 1.93674e9 | + | 3.35453e9i | 0.0765912 | + | 0.132660i | ||||
\(206\) | −2.65394e9 | + | 4.59676e9i | −0.102681 | + | 0.177848i | ||||
\(207\) | 2.22352e10 | 0.841735 | ||||||||
\(208\) | −1.07457e10 | + | 1.86120e10i | −0.398059 | + | 0.689459i | ||||
\(209\) | −1.06980e10 | − | 1.85295e10i | −0.387833 | − | 0.671747i | ||||
\(210\) | −8.22214e7 | − | 1.42412e8i | −0.00291741 | − | 0.00505311i | ||||
\(211\) | 1.61108e10 | 0.559558 | 0.279779 | − | 0.960064i | \(-0.409739\pi\) | ||||
0.279779 | + | 0.960064i | \(0.409739\pi\) | |||||||
\(212\) | 1.12593e10 | + | 1.95017e10i | 0.382825 | + | 0.663073i | ||||
\(213\) | −5.50582e9 | −0.183279 | ||||||||
\(214\) | −4.12516e9 | −0.134456 | ||||||||
\(215\) | −8.61272e9 | − | 4.42587e9i | −0.274895 | − | 0.141262i | ||||
\(216\) | 3.34371e9 | 0.104517 | ||||||||
\(217\) | 2.50298e10 | 0.766283 | ||||||||
\(218\) | 1.89066e9 | + | 3.27472e9i | 0.0566969 | + | 0.0982019i | ||||
\(219\) | −3.43590e9 | −0.100935 | ||||||||
\(220\) | 2.92011e9 | + | 5.05778e9i | 0.0840421 | + | 0.145565i | ||||
\(221\) | −1.84817e10 | − | 3.20113e10i | −0.521168 | − | 0.902689i | ||||
\(222\) | 4.73979e8 | − | 8.20956e8i | 0.0130970 | − | 0.0226846i | ||||
\(223\) | 1.08563e10 | 0.293976 | 0.146988 | − | 0.989138i | \(-0.453042\pi\) | ||||
0.146988 | + | 0.989138i | \(0.453042\pi\) | |||||||
\(224\) | 7.24004e9 | − | 1.25401e10i | 0.192143 | − | 0.332802i | ||||
\(225\) | −1.70437e10 | − | 2.95206e10i | −0.443346 | − | 0.767899i | ||||
\(226\) | 2.05485e9 | 0.0523954 | ||||||||
\(227\) | −1.58099e10 | − | 2.73835e10i | −0.395195 | − | 0.684499i | 0.597931 | − | 0.801548i | \(-0.295990\pi\) |
−0.993126 | + | 0.117049i | \(0.962656\pi\) | |||||||
\(228\) | −3.78598e9 | + | 6.55751e9i | −0.0927836 | + | 0.160706i | ||||
\(229\) | −1.18204e10 | + | 2.04736e10i | −0.284036 | + | 0.491966i | −0.972375 | − | 0.233424i | \(-0.925007\pi\) |
0.688339 | + | 0.725390i | \(0.258340\pi\) | |||||||
\(230\) | −1.07955e9 | + | 1.86984e9i | −0.0254372 | + | 0.0440585i | ||||
\(231\) | 2.40613e9 | 0.0555988 | ||||||||
\(232\) | 5.94493e9 | − | 1.02969e10i | 0.134726 | − | 0.233352i | ||||
\(233\) | 3.90436e10 | − | 6.76254e10i | 0.867856 | − | 1.50317i | 0.00367298 | − | 0.999993i | \(-0.498831\pi\) |
0.864183 | − | 0.503178i | \(-0.167836\pi\) | |||||||
\(234\) | 3.85052e9 | + | 6.66930e9i | 0.0839553 | + | 0.145415i | ||||
\(235\) | −7.07778e9 | − | 1.22591e10i | −0.151388 | − | 0.262212i | ||||
\(236\) | −4.92464e10 | −1.03340 | ||||||||
\(237\) | 4.49550e9 | 0.0925573 | ||||||||
\(238\) | 3.88748e9 | + | 6.73331e9i | 0.0785365 | + | 0.136029i | ||||
\(239\) | −3.05888e10 | − | 5.29814e10i | −0.606419 | − | 1.05035i | −0.991826 | − | 0.127601i | \(-0.959272\pi\) |
0.385407 | − | 0.922747i | \(-0.374061\pi\) | |||||||
\(240\) | 9.92479e8 | − | 1.71902e9i | 0.0193095 | − | 0.0334450i | ||||
\(241\) | 1.73335e10 | − | 3.00226e10i | 0.330987 | − | 0.573286i | −0.651719 | − | 0.758461i | \(-0.725952\pi\) |
0.982706 | + | 0.185175i | \(0.0592851\pi\) | |||||||
\(242\) | −6.96805e9 | −0.130600 | ||||||||
\(243\) | −1.11343e10 | + | 1.92853e10i | −0.204850 | + | 0.354811i | ||||
\(244\) | 2.58662e10 | − | 4.48015e10i | 0.467173 | − | 0.809168i | ||||
\(245\) | −4.41697e9 | + | 7.65041e9i | −0.0783207 | + | 0.135655i | ||||
\(246\) | −3.82655e8 | − | 6.62777e8i | −0.00666191 | − | 0.0115388i | ||||
\(247\) | −7.18009e10 | −1.22742 | ||||||||
\(248\) | −1.22324e10 | − | 2.11871e10i | −0.205342 | − | 0.355664i | ||||
\(249\) | 7.11633e9 | − | 1.23258e10i | 0.117316 | − | 0.203198i | ||||
\(250\) | 6.96956e9 | 0.112843 | ||||||||
\(251\) | −3.05734e10 | + | 5.29547e10i | −0.486197 | + | 0.842118i | −0.999874 | − | 0.0158657i | \(-0.994950\pi\) |
0.513677 | + | 0.857984i | \(0.328283\pi\) | |||||||
\(252\) | 2.12270e10 | + | 3.67662e10i | 0.331578 | + | 0.574310i | ||||
\(253\) | −1.57961e10 | − | 2.73596e10i | −0.242386 | − | 0.419824i | ||||
\(254\) | 2.79110e9 | 0.0420750 | ||||||||
\(255\) | 1.70699e9 | + | 2.95659e9i | 0.0252813 | + | 0.0437886i | ||||
\(256\) | 4.48316e10 | 0.652385 | ||||||||
\(257\) | 1.77181e10 | 0.253348 | 0.126674 | − | 0.991944i | \(-0.459570\pi\) | ||||
0.126674 | + | 0.991944i | \(0.459570\pi\) | |||||||
\(258\) | 1.70167e9 | + | 8.74449e8i | 0.0239104 | + | 0.0122870i | ||||
\(259\) | 4.95541e10 | 0.684274 | ||||||||
\(260\) | 1.95986e10 | 0.265978 | ||||||||
\(261\) | 2.63079e10 | + | 4.55666e10i | 0.350917 | + | 0.607806i | ||||
\(262\) | −1.27709e10 | −0.167443 | ||||||||
\(263\) | −5.75872e10 | − | 9.97440e10i | −0.742207 | − | 1.28554i | −0.951488 | − | 0.307685i | \(-0.900446\pi\) |
0.209281 | − | 0.977856i | \(-0.432888\pi\) | |||||||
\(264\) | −1.17591e9 | − | 2.03673e9i | −0.0148989 | − | 0.0258057i | ||||
\(265\) | 9.86102e9 | − | 1.70798e10i | 0.122833 | − | 0.212753i | ||||
\(266\) | 1.51027e10 | 0.184964 | ||||||||
\(267\) | 8.14001e9 | − | 1.40989e10i | 0.0980222 | − | 0.169779i | ||||
\(268\) | 6.79927e10 | + | 1.17767e11i | 0.805110 | + | 1.39449i | ||||
\(269\) | −1.16396e11 | −1.35536 | −0.677680 | − | 0.735357i | \(-0.737015\pi\) | ||||
−0.677680 | + | 0.735357i | \(0.737015\pi\) | |||||||
\(270\) | −7.18408e8 | − | 1.24432e9i | −0.00822687 | − | 0.0142493i | ||||
\(271\) | 2.07639e10 | − | 3.59641e10i | 0.233855 | − | 0.405049i | −0.725084 | − | 0.688660i | \(-0.758199\pi\) |
0.958939 | + | 0.283611i | \(0.0915326\pi\) | |||||||
\(272\) | −4.69250e10 | + | 8.12765e10i | −0.519809 | + | 0.900336i | ||||
\(273\) | 4.03725e9 | − | 6.99273e9i | 0.0439900 | − | 0.0761929i | ||||
\(274\) | −1.46889e10 | −0.157439 | ||||||||
\(275\) | −2.42160e10 | + | 4.19433e10i | −0.255332 | + | 0.442248i | ||||
\(276\) | −5.59016e9 | + | 9.68244e9i | −0.0579874 | + | 0.100437i | ||||
\(277\) | 2.22299e10 | + | 3.85034e10i | 0.226871 | + | 0.392952i | 0.956879 | − | 0.290486i | \(-0.0938171\pi\) |
−0.730008 | + | 0.683439i | \(0.760484\pi\) | |||||||
\(278\) | −7.04496e9 | − | 1.22022e10i | −0.0707419 | − | 0.122529i | ||||
\(279\) | 1.08263e11 | 1.06970 | ||||||||
\(280\) | −8.40210e9 | −0.0816915 | ||||||||
\(281\) | 5.49514e10 | + | 9.51786e10i | 0.525775 | + | 0.910670i | 0.999549 | + | 0.0300232i | \(0.00955813\pi\) |
−0.473774 | + | 0.880647i | \(0.657109\pi\) | |||||||
\(282\) | 1.39841e9 | + | 2.42211e9i | 0.0131678 | + | 0.0228072i | ||||
\(283\) | 2.35652e10 | − | 4.08161e10i | 0.218390 | − | 0.378262i | −0.735926 | − | 0.677062i | \(-0.763253\pi\) |
0.954316 | + | 0.298800i | \(0.0965863\pi\) | |||||||
\(284\) | −6.90125e10 | + | 1.19533e11i | −0.629499 | + | 1.09032i | ||||
\(285\) | 6.63160e9 | 0.0595410 | ||||||||
\(286\) | 5.47088e9 | − | 9.47583e9i | 0.0483515 | − | 0.0837472i | ||||
\(287\) | 2.00031e10 | − | 3.46464e10i | 0.174032 | − | 0.301432i | ||||
\(288\) | 3.13158e10 | − | 5.42406e10i | 0.268224 | − | 0.464578i | ||||
\(289\) | −2.14136e10 | − | 3.70894e10i | −0.180572 | − | 0.312759i | ||||
\(290\) | −5.10916e9 | −0.0424188 | ||||||||
\(291\) | −1.06496e10 | − | 1.84456e10i | −0.0870591 | − | 0.150791i | ||||
\(292\) | −4.30672e10 | + | 7.45946e10i | −0.346676 | + | 0.600461i | ||||
\(293\) | 5.66181e10 | 0.448798 | 0.224399 | − | 0.974497i | \(-0.427958\pi\) | ||||
0.224399 | + | 0.974497i | \(0.427958\pi\) | |||||||
\(294\) | 8.72690e8 | − | 1.51154e9i | 0.00681235 | − | 0.0117993i | ||||
\(295\) | 2.15652e10 | + | 3.73521e10i | 0.165789 | + | 0.287155i | ||||
\(296\) | −2.42177e10 | − | 4.19462e10i | −0.183366 | − | 0.317600i | ||||
\(297\) | 2.10235e10 | 0.156784 | ||||||||
\(298\) | −2.28824e10 | − | 3.96336e10i | −0.168085 | − | 0.291132i | ||||
\(299\) | −1.06017e11 | −0.767106 | ||||||||
\(300\) | 1.71398e10 | 0.122169 | ||||||||
\(301\) | 4.88986e9 | + | 9.98923e10i | 0.0343358 | + | 0.701428i | ||||
\(302\) | 4.44876e10 | 0.307757 | ||||||||
\(303\) | 4.68124e8 | 0.00319058 | ||||||||
\(304\) | 9.11510e10 | + | 1.57878e11i | 0.612111 | + | 1.06021i | ||||
\(305\) | −4.53077e10 | −0.299794 | ||||||||
\(306\) | 1.68148e10 | + | 2.91240e10i | 0.109634 | + | 0.189891i | ||||
\(307\) | 5.54921e10 | + | 9.61151e10i | 0.356540 | + | 0.617545i | 0.987380 | − | 0.158367i | \(-0.0506230\pi\) |
−0.630840 | + | 0.775913i | \(0.717290\pi\) | |||||||
\(308\) | 3.01596e10 | − | 5.22379e10i | 0.190962 | − | 0.330756i | ||||
\(309\) | 2.40719e10 | 0.150210 | ||||||||
\(310\) | −5.25635e9 | + | 9.10426e9i | −0.0323263 | + | 0.0559908i | ||||
\(311\) | 1.87005e10 | + | 3.23902e10i | 0.113353 | + | 0.196333i | 0.917120 | − | 0.398611i | \(-0.130508\pi\) |
−0.803767 | + | 0.594944i | \(0.797174\pi\) | |||||||
\(312\) | −7.89222e9 | −0.0471524 | ||||||||
\(313\) | 6.77317e10 | + | 1.17315e11i | 0.398880 | + | 0.690881i | 0.993588 | − | 0.113061i | \(-0.0360656\pi\) |
−0.594708 | + | 0.803942i | \(0.702732\pi\) | |||||||
\(314\) | −2.86409e10 | + | 4.96074e10i | −0.166266 | + | 0.287981i | ||||
\(315\) | 1.85908e10 | − | 3.22002e10i | 0.106390 | − | 0.184273i | ||||
\(316\) | 5.63488e10 | − | 9.75989e10i | 0.317901 | − | 0.550621i | ||||
\(317\) | −2.59074e11 | −1.44098 | −0.720488 | − | 0.693467i | \(-0.756082\pi\) | ||||
−0.720488 | + | 0.693467i | \(0.756082\pi\) | |||||||
\(318\) | −1.94831e9 | + | 3.37457e9i | −0.0106841 | + | 0.0185053i | ||||
\(319\) | 3.73787e10 | − | 6.47417e10i | 0.202100 | − | 0.350047i | ||||
\(320\) | −2.27889e10 | − | 3.94715e10i | −0.121492 | − | 0.210430i | ||||
\(321\) | 9.35407e9 | + | 1.62017e10i | 0.0491731 | + | 0.0851703i | ||||
\(322\) | 2.22998e10 | 0.115598 | ||||||||
\(323\) | −3.13546e11 | −1.60284 | ||||||||
\(324\) | 8.99359e10 | + | 1.55774e11i | 0.453399 | + | 0.785310i | ||||
\(325\) | 8.12641e10 | + | 1.40754e11i | 0.404039 | + | 0.699816i | ||||
\(326\) | −1.27644e10 | + | 2.21085e10i | −0.0625922 | + | 0.108413i | ||||
\(327\) | 8.57439e9 | − | 1.48513e10i | 0.0414704 | − | 0.0718288i | ||||
\(328\) | −3.91030e10 | −0.186543 | ||||||||
\(329\) | −7.31010e10 | + | 1.26615e11i | −0.343987 | + | 0.595803i | ||||
\(330\) | −5.05295e8 | + | 8.75197e8i | −0.00234548 | + | 0.00406250i | ||||
\(331\) | 1.38901e11 | − | 2.40584e11i | 0.636034 | − | 1.10164i | −0.350262 | − | 0.936652i | \(-0.613907\pi\) |
0.986295 | − | 0.164990i | \(-0.0527593\pi\) | |||||||
\(332\) | −1.78399e11 | − | 3.08996e11i | −0.805881 | − | 1.39583i | ||||
\(333\) | 2.14339e11 | 0.955219 | ||||||||
\(334\) | −1.34656e10 | − | 2.33231e10i | −0.0592060 | − | 0.102548i | ||||
\(335\) | 5.95486e10 | − | 1.03141e11i | 0.258327 | − | 0.447436i | ||||
\(336\) | −2.05011e10 | −0.0877507 | ||||||||
\(337\) | 3.67677e10 | − | 6.36835e10i | 0.155286 | − | 0.268963i | −0.777877 | − | 0.628416i | \(-0.783703\pi\) |
0.933163 | + | 0.359453i | \(0.117037\pi\) | |||||||
\(338\) | 4.64157e9 | + | 8.03943e9i | 0.0193437 | + | 0.0335043i | ||||
\(339\) | −4.65951e9 | − | 8.07051e9i | −0.0191620 | − | 0.0331896i | ||||
\(340\) | 8.55849e10 | 0.347330 | ||||||||
\(341\) | −7.69110e10 | − | 1.33214e11i | −0.308031 | − | 0.533525i | ||||
\(342\) | 6.53247e10 | 0.258202 | ||||||||
\(343\) | 2.71261e11 | 1.05819 | ||||||||
\(344\) | 8.21665e10 | − | 5.29577e10i | 0.316360 | − | 0.203900i | ||||
\(345\) | 9.79184e9 | 0.0372116 | ||||||||
\(346\) | 2.20386e10 | 0.0826686 | ||||||||
\(347\) | −2.54070e11 | − | 4.40063e11i | −0.940744 | − | 1.62942i | −0.764056 | − | 0.645150i | \(-0.776795\pi\) |
−0.176688 | − | 0.984267i | \(-0.556538\pi\) | |||||||
\(348\) | −2.64563e10 | −0.0966990 | ||||||||
\(349\) | −1.80483e11 | − | 3.12605e11i | −0.651210 | − | 1.12793i | −0.982830 | − | 0.184516i | \(-0.940928\pi\) |
0.331620 | − | 0.943413i | \(-0.392405\pi\) | |||||||
\(350\) | −1.70932e10 | − | 2.96063e10i | −0.0608860 | − | 0.105458i | ||||
\(351\) | 3.52755e10 | − | 6.10989e10i | 0.124048 | − | 0.214858i | ||||
\(352\) | −8.89880e10 | −0.308951 | ||||||||
\(353\) | −1.93037e11 | + | 3.34350e11i | −0.661690 | + | 1.14608i | 0.318482 | + | 0.947929i | \(0.396827\pi\) |
−0.980171 | + | 0.198151i | \(0.936506\pi\) | |||||||
\(354\) | −4.26079e9 | − | 7.37991e9i | −0.0144203 | − | 0.0249768i | ||||
\(355\) | 1.20884e11 | 0.403962 | ||||||||
\(356\) | −2.04062e11 | − | 3.53445e11i | −0.673343 | − | 1.16626i | ||||
\(357\) | 1.76302e10 | − | 3.05364e10i | 0.0574447 | − | 0.0994972i | ||||
\(358\) | −4.22560e10 | + | 7.31895e10i | −0.135961 | + | 0.235492i | ||||
\(359\) | −1.37180e10 | + | 2.37603e10i | −0.0435879 | + | 0.0754965i | −0.886996 | − | 0.461777i | \(-0.847212\pi\) |
0.843408 | + | 0.537273i | \(0.180546\pi\) | |||||||
\(360\) | −3.63422e10 | −0.114038 | ||||||||
\(361\) | −1.43185e11 | + | 2.48003e11i | −0.443726 | + | 0.768555i | ||||
\(362\) | −3.82006e10 | + | 6.61654e10i | −0.116918 | + | 0.202508i | ||||
\(363\) | 1.58005e10 | + | 2.73673e10i | 0.0477630 | + | 0.0827279i | ||||
\(364\) | −1.01210e11 | − | 1.75300e11i | −0.302180 | − | 0.523391i | ||||
\(365\) | 7.54374e10 | 0.222469 | ||||||||
\(366\) | 8.95175e9 | 0.0260761 | ||||||||
\(367\) | 3.17268e10 | + | 5.49525e10i | 0.0912913 | + | 0.158121i | 0.908055 | − | 0.418852i | \(-0.137567\pi\) |
−0.816763 | + | 0.576973i | \(0.804234\pi\) | |||||||
\(368\) | 1.34588e11 | + | 2.33114e11i | 0.382554 | + | 0.662602i | ||||
\(369\) | 8.65207e10 | − | 1.49858e11i | 0.242941 | − | 0.420787i | ||||
\(370\) | −1.04065e10 | + | 1.80246e10i | −0.0288667 | + | 0.0499986i | ||||
\(371\) | −2.03694e11 | −0.558207 | ||||||||
\(372\) | −2.72185e10 | + | 4.71438e10i | −0.0736920 | + | 0.127638i | ||||
\(373\) | −2.92118e9 | + | 5.05963e9i | −0.00781391 | + | 0.0135341i | −0.869906 | − | 0.493218i | \(-0.835821\pi\) |
0.862092 | + | 0.506752i | \(0.169154\pi\) | |||||||
\(374\) | 2.38907e10 | − | 4.13798e10i | 0.0631402 | − | 0.109362i | ||||
\(375\) | −1.58039e10 | − | 2.73732e10i | −0.0412690 | − | 0.0714800i | ||||
\(376\) | 1.42901e11 | 0.368715 | ||||||||
\(377\) | −1.25436e11 | − | 2.17261e11i | −0.319804 | − | 0.553917i | ||||
\(378\) | −7.41989e9 | + | 1.28516e10i | −0.0186932 | + | 0.0323776i | ||||
\(379\) | 4.41769e11 | 1.09981 | 0.549907 | − | 0.835226i | \(-0.314663\pi\) | ||||
0.549907 | + | 0.835226i | \(0.314663\pi\) | |||||||
\(380\) | 8.31236e10 | − | 1.43974e11i | 0.204502 | − | 0.354208i | ||||
\(381\) | −6.32900e9 | − | 1.09622e10i | −0.0153877 | − | 0.0266522i | ||||
\(382\) | 1.49701e10 | + | 2.59289e10i | 0.0359699 | + | 0.0623017i | ||||
\(383\) | 2.41257e11 | 0.572909 | 0.286455 | − | 0.958094i | \(-0.407523\pi\) | ||||
0.286455 | + | 0.958094i | \(0.407523\pi\) | |||||||
\(384\) | 2.08496e10 | + | 3.61125e10i | 0.0489336 | + | 0.0847554i | ||||
\(385\) | −5.28281e10 | −0.122544 | ||||||||
\(386\) | 9.82203e10 | 0.225195 | ||||||||
\(387\) | 2.11505e10 | + | 4.32071e11i | 0.0479314 | + | 0.979164i | ||||
\(388\) | −5.33948e11 | −1.19607 | ||||||||
\(389\) | 6.62506e11 | 1.46695 | 0.733477 | − | 0.679714i | \(-0.237896\pi\) | ||||
0.733477 | + | 0.679714i | \(0.237896\pi\) | |||||||
\(390\) | 1.69567e9 | + | 2.93699e9i | 0.00371151 | + | 0.00642853i | ||||
\(391\) | −4.62964e11 | −1.00173 | ||||||||
\(392\) | −4.45896e10 | − | 7.72314e10i | −0.0953775 | − | 0.165199i | ||||
\(393\) | 2.89588e10 | + | 5.01582e10i | 0.0612371 | + | 0.106066i | ||||
\(394\) | −3.29148e10 | + | 5.70102e10i | −0.0688111 | + | 0.119184i | ||||
\(395\) | −9.87016e10 | −0.204003 | ||||||||
\(396\) | 1.30451e11 | − | 2.25948e11i | 0.266575 | − | 0.461722i | ||||
\(397\) | 3.63106e11 | + | 6.28917e11i | 0.733628 | + | 1.27068i | 0.955323 | + | 0.295564i | \(0.0955077\pi\) |
−0.221695 | + | 0.975116i | \(0.571159\pi\) | |||||||
\(398\) | −1.01845e11 | −0.203453 | ||||||||
\(399\) | −3.42463e10 | − | 5.93164e10i | −0.0676451 | − | 0.117165i | ||||
\(400\) | 2.06329e11 | − | 3.57372e11i | 0.402986 | − | 0.697993i | ||||
\(401\) | −4.58296e11 | + | 7.93793e11i | −0.885109 | + | 1.53305i | −0.0395207 | + | 0.999219i | \(0.512583\pi\) |
−0.845588 | + | 0.533835i | \(0.820750\pi\) | |||||||
\(402\) | −1.17654e10 | + | 2.03783e10i | −0.0224694 | + | 0.0389181i | ||||
\(403\) | −5.16197e11 | −0.974861 | ||||||||
\(404\) | 5.86769e9 | − | 1.01631e10i | 0.0109585 | − | 0.0189807i | ||||
\(405\) | 7.87668e10 | − | 1.36428e11i | 0.145477 | − | 0.251974i | ||||
\(406\) | 2.63843e10 | + | 4.56989e10i | 0.0481924 | + | 0.0834716i | ||||
\(407\) | −1.52268e11 | − | 2.63736e11i | −0.275065 | − | 0.476426i | ||||
\(408\) | −3.44644e10 | −0.0615743 | ||||||||
\(409\) | 3.18383e11 | 0.562593 | 0.281297 | − | 0.959621i | \(-0.409235\pi\) | ||||
0.281297 | + | 0.959621i | \(0.409235\pi\) | |||||||
\(410\) | 8.40143e9 | + | 1.45517e10i | 0.0146834 | + | 0.0254323i | ||||
\(411\) | 3.33080e10 | + | 5.76912e10i | 0.0575786 | + | 0.0997290i | ||||
\(412\) | 3.01729e11 | − | 5.22610e11i | 0.515916 | − | 0.893593i | ||||
\(413\) | 2.22731e11 | − | 3.85781e11i | 0.376708 | − | 0.652478i | ||||
\(414\) | 9.64548e10 | 0.161370 | ||||||||
\(415\) | −1.56244e11 | + | 2.70622e11i | −0.258574 | + | 0.447864i | ||||
\(416\) | −1.49313e11 | + | 2.58618e11i | −0.244443 | + | 0.423388i | ||||
\(417\) | −3.19498e10 | + | 5.53387e10i | −0.0517435 | + | 0.0896224i | ||||
\(418\) | −4.64072e10 | − | 8.03796e10i | −0.0743519 | − | 0.128781i | ||||
\(419\) | −6.44651e11 | −1.02179 | −0.510895 | − | 0.859643i | \(-0.670686\pi\) | ||||
−0.510895 | + | 0.859643i | \(0.670686\pi\) | |||||||
\(420\) | 9.34782e9 | + | 1.61909e10i | 0.0146585 | + | 0.0253892i | ||||
\(421\) | 5.78778e10 | − | 1.00247e11i | 0.0897931 | − | 0.155526i | −0.817631 | − | 0.575743i | \(-0.804713\pi\) |
0.907424 | + | 0.420217i | \(0.138046\pi\) | |||||||
\(422\) | 6.98872e10 | 0.107273 | ||||||||
\(423\) | −3.16189e11 | + | 5.47655e11i | −0.480192 | + | 0.831717i | ||||
\(424\) | 9.95477e10 | + | 1.72422e11i | 0.149584 | + | 0.259087i | ||||
\(425\) | 3.54871e11 | + | 6.14654e11i | 0.527618 | + | 0.913862i | ||||
\(426\) | −2.38838e10 | −0.0351367 | ||||||||
\(427\) | 2.33974e11 | + | 4.05255e11i | 0.340599 | + | 0.589934i | ||||
\(428\) | 4.68993e11 | 0.675569 | ||||||||
\(429\) | −4.96222e10 | −0.0707324 | ||||||||
\(430\) | −3.73613e10 | − | 1.91991e10i | −0.0527004 | − | 0.0270815i | ||||
\(431\) | 8.53812e11 | 1.19183 | 0.595915 | − | 0.803047i | \(-0.296789\pi\) | ||||
0.595915 | + | 0.803047i | \(0.296789\pi\) | |||||||
\(432\) | −1.79128e11 | −0.247450 | ||||||||
\(433\) | 2.87929e11 | + | 4.98708e11i | 0.393632 | + | 0.681791i | 0.992926 | − | 0.118739i | \(-0.0378851\pi\) |
−0.599293 | + | 0.800529i | \(0.704552\pi\) | |||||||
\(434\) | 1.08578e11 | 0.146905 | ||||||||
\(435\) | 1.15853e10 | + | 2.00664e10i | 0.0155134 | + | 0.0268700i | ||||
\(436\) | −2.14951e11 | − | 3.72306e11i | −0.284872 | − | 0.493413i | ||||
\(437\) | −4.49650e11 | + | 7.78816e11i | −0.589804 | + | 1.02157i | ||||
\(438\) | −1.49047e10 | −0.0193504 | ||||||||
\(439\) | 8.18733e10 | − | 1.41809e11i | 0.105209 | − | 0.182227i | −0.808615 | − | 0.588339i | \(-0.799782\pi\) |
0.913823 | + | 0.406112i | \(0.133116\pi\) | |||||||
\(440\) | 2.58178e10 | + | 4.47177e10i | 0.0328384 | + | 0.0568777i | ||||
\(441\) | 3.94642e11 | 0.496855 | ||||||||
\(442\) | −8.01724e10 | − | 1.38863e11i | −0.0999136 | − | 0.173055i | ||||
\(443\) | 3.12651e11 | − | 5.41528e11i | 0.385695 | − | 0.668043i | −0.606171 | − | 0.795335i | \(-0.707295\pi\) |
0.991865 | + | 0.127292i | \(0.0406285\pi\) | |||||||
\(444\) | −5.38871e10 | + | 9.33352e10i | −0.0658054 | + | 0.113978i | ||||
\(445\) | −1.78719e11 | + | 3.09551e11i | −0.216048 | + | 0.374207i | ||||
\(446\) | 4.70940e10 | 0.0563584 | ||||||||
\(447\) | −1.03775e11 | + | 1.79743e11i | −0.122944 | + | 0.212946i | ||||
\(448\) | −2.35369e11 | + | 4.07671e11i | −0.276056 | + | 0.478144i | ||||
\(449\) | 1.52186e11 | + | 2.63593e11i | 0.176712 | + | 0.306074i | 0.940752 | − | 0.339094i | \(-0.110121\pi\) |
−0.764041 | + | 0.645168i | \(0.776787\pi\) | |||||||
\(450\) | −7.39344e10 | − | 1.28058e11i | −0.0849944 | − | 0.147215i | ||||
\(451\) | −2.45860e11 | −0.279829 | ||||||||
\(452\) | −2.33618e11 | −0.263259 | ||||||||
\(453\) | −1.00878e11 | − | 1.74727e11i | −0.112553 | − | 0.194947i | ||||
\(454\) | −6.85820e10 | − | 1.18788e11i | −0.0757633 | − | 0.131226i | ||||
\(455\) | −8.86405e10 | + | 1.53530e11i | −0.0969573 | + | 0.167935i | ||||
\(456\) | −3.34732e10 | + | 5.79773e10i | −0.0362540 | + | 0.0627937i | ||||
\(457\) | 5.48924e11 | 0.588693 | 0.294347 | − | 0.955699i | \(-0.404898\pi\) | ||||
0.294347 | + | 0.955699i | \(0.404898\pi\) | |||||||
\(458\) | −5.12762e10 | + | 8.88130e10i | −0.0544529 | + | 0.0943152i | ||||
\(459\) | 1.54044e11 | − | 2.66812e11i | 0.161989 | − | 0.280574i | ||||
\(460\) | 1.22736e11 | − | 2.12584e11i | 0.127809 | − | 0.221371i | ||||
\(461\) | 8.37352e11 | + | 1.45034e12i | 0.863484 | + | 1.49560i | 0.868545 | + | 0.495610i | \(0.165056\pi\) |
−0.00506130 | + | 0.999987i | \(0.501611\pi\) | |||||||
\(462\) | 1.04376e10 | 0.0106589 | ||||||||
\(463\) | −5.66952e11 | − | 9.81990e11i | −0.573366 | − | 0.993099i | −0.996217 | − | 0.0868996i | \(-0.972304\pi\) |
0.422851 | − | 0.906199i | \(-0.361029\pi\) | |||||||
\(464\) | −3.18480e11 | + | 5.51623e11i | −0.318971 | + | 0.552474i | ||||
\(465\) | 4.76764e10 | 0.0472896 | ||||||||
\(466\) | 1.69368e11 | − | 2.93354e11i | 0.166378 | − | 0.288174i | ||||
\(467\) | −1.49987e11 | − | 2.59785e11i | −0.145924 | − | 0.252748i | 0.783793 | − | 0.621022i | \(-0.213282\pi\) |
−0.929717 | + | 0.368274i | \(0.879949\pi\) | |||||||
\(468\) | −4.37769e11 | − | 7.58238e11i | −0.421831 | − | 0.730633i | ||||
\(469\) | −1.23007e12 | −1.17395 | ||||||||
\(470\) | −3.07029e10 | − | 5.31790e10i | −0.0290228 | − | 0.0502689i | ||||
\(471\) | 2.59780e11 | 0.243227 | ||||||||
\(472\) | −4.35405e11 | −0.403789 | ||||||||
\(473\) | 5.16621e11 | − | 3.32971e11i | 0.474566 | − | 0.305866i | ||||
\(474\) | 1.95012e10 | 0.0177443 | ||||||||
\(475\) | 1.37866e12 | 1.24261 | ||||||||
\(476\) | −4.41971e11 | − | 7.65515e11i | −0.394605 | − | 0.683475i | ||||
\(477\) | −8.81051e11 | −0.779235 | ||||||||
\(478\) | −1.32692e11 | − | 2.29829e11i | −0.116257 | − | 0.201363i | ||||
\(479\) | −5.55196e11 | − | 9.61627e11i | −0.481877 | − | 0.834635i | 0.517907 | − | 0.855437i | \(-0.326711\pi\) |
−0.999784 | + | 0.0208017i | \(0.993378\pi\) | |||||||
\(480\) | 1.37907e10 | − | 2.38862e10i | 0.0118577 | − | 0.0205382i | ||||
\(481\) | −1.02197e12 | −0.870529 | ||||||||
\(482\) | 7.51916e10 | − | 1.30236e11i | 0.0634538 | − | 0.109905i | ||||
\(483\) | −5.05662e10 | − | 8.75832e10i | −0.0422764 | − | 0.0732249i | ||||
\(484\) | 7.92204e11 | 0.656195 | ||||||||
\(485\) | 2.33818e11 | + | 4.04985e11i | 0.191885 | + | 0.332354i | ||||
\(486\) | −4.83000e10 | + | 8.36580e10i | −0.0392720 | + | 0.0680212i | ||||
\(487\) | 6.80044e11 | − | 1.17787e12i | 0.547844 | − | 0.948893i | −0.450578 | − | 0.892737i | \(-0.648782\pi\) |
0.998422 | − | 0.0561564i | \(-0.0178846\pi\) | |||||||
\(488\) | 2.28692e11 | − | 3.96107e11i | 0.182542 | − | 0.316172i | ||||
\(489\) | 1.15776e11 | 0.0915649 | ||||||||
\(490\) | −1.91605e10 | + | 3.31869e10i | −0.0150149 | + | 0.0260066i | ||||
\(491\) | 1.19582e12 | − | 2.07123e12i | 0.928540 | − | 1.60828i | 0.142773 | − | 0.989755i | \(-0.454398\pi\) |
0.785767 | − | 0.618523i | \(-0.212269\pi\) | |||||||
\(492\) | 4.35043e10 | + | 7.53517e10i | 0.0334726 | + | 0.0579763i | ||||
\(493\) | −5.47762e11 | − | 9.48751e11i | −0.417619 | − | 0.723338i | ||||
\(494\) | −3.11467e11 | −0.235310 | ||||||||
\(495\) | −2.28501e11 | −0.171066 | ||||||||
\(496\) | 6.55310e11 | + | 1.13503e12i | 0.486160 | + | 0.842054i | ||||
\(497\) | −6.24258e11 | − | 1.08125e12i | −0.458945 | − | 0.794915i | ||||
\(498\) | 3.08701e10 | − | 5.34686e10i | 0.0224909 | − | 0.0389553i | ||||
\(499\) | −6.80702e11 | + | 1.17901e12i | −0.491478 | + | 0.851265i | −0.999952 | − | 0.00981229i | \(-0.996877\pi\) |
0.508474 | + | 0.861078i | \(0.330210\pi\) | |||||||
\(500\) | −7.92375e11 | −0.566978 | ||||||||
\(501\) | −6.10681e10 | + | 1.05773e11i | −0.0433057 | + | 0.0750076i | ||||
\(502\) | −1.32625e11 | + | 2.29714e11i | −0.0932093 | + | 0.161443i | ||||
\(503\) | −5.58671e10 | + | 9.67646e10i | −0.0389135 | + | 0.0674001i | −0.884826 | − | 0.465921i | \(-0.845723\pi\) |
0.845913 | + | 0.533321i | \(0.179056\pi\) | |||||||
\(504\) | 1.87675e11 | + | 3.25063e11i | 0.129560 | + | 0.224404i | ||||
\(505\) | −1.02780e10 | −0.00703228 | ||||||||
\(506\) | −6.85222e10 | − | 1.18684e11i | −0.0464680 | − | 0.0804849i | ||||
\(507\) | 2.10501e10 | − | 3.64598e10i | 0.0141488 | − | 0.0245064i | ||||
\(508\) | −3.17323e11 | −0.211405 | ||||||||
\(509\) | 9.68930e10 | − | 1.67824e11i | 0.0639826 | − | 0.110821i | −0.832260 | − | 0.554386i | \(-0.812953\pi\) |
0.896242 | + | 0.443565i | \(0.146286\pi\) | |||||||
\(510\) | 7.40479e9 | + | 1.28255e10i | 0.00484671 | + | 0.00839475i | ||||
\(511\) | −3.89568e11 | − | 6.74751e11i | −0.252749 | − | 0.437774i | ||||
\(512\) | 1.27972e12 | 0.822998 | ||||||||
\(513\) | −2.99227e11 | − | 5.18277e11i | −0.190754 | − | 0.330395i | ||||
\(514\) | 7.68597e10 | 0.0485696 | ||||||||
\(515\) | −5.28514e11 | −0.331073 | ||||||||
\(516\) | −1.93465e11 | − | 9.94168e10i | −0.120137 | − | 0.0617357i | ||||
\(517\) | 8.98491e11 | 0.553103 | ||||||||
\(518\) | 2.14962e11 | 0.131183 | ||||||||
\(519\) | −4.99738e10 | − | 8.65572e10i | −0.0302336 | − | 0.0523661i | ||||
\(520\) | 1.73279e11 | 0.103927 | ||||||||
\(521\) | 1.13950e12 | + | 1.97367e12i | 0.677553 | + | 1.17356i | 0.975716 | + | 0.219041i | \(0.0702929\pi\) |
−0.298163 | + | 0.954515i | \(0.596374\pi\) | |||||||
\(522\) | 1.14122e11 | + | 1.97665e11i | 0.0672746 | + | 0.116523i | ||||
\(523\) | −3.21089e11 | + | 5.56142e11i | −0.187658 | + | 0.325033i | −0.944469 | − | 0.328600i | \(-0.893423\pi\) |
0.756811 | + | 0.653634i | \(0.226756\pi\) | |||||||
\(524\) | 1.45194e12 | 0.841311 | ||||||||
\(525\) | −7.75199e10 | + | 1.34268e11i | −0.0445345 | + | 0.0771359i | ||||
\(526\) | −2.49809e11 | − | 4.32682e11i | −0.142289 | − | 0.246452i | ||||
\(527\) | −2.25417e12 | −1.27303 | ||||||||
\(528\) | 6.29952e10 | + | 1.09111e11i | 0.0352740 | + | 0.0610964i | ||||
\(529\) | 2.36649e11 | − | 4.09888e11i | 0.131388 | − | 0.227570i | ||||
\(530\) | 4.27764e10 | − | 7.40909e10i | 0.0235485 | − | 0.0407871i | ||||
\(531\) | 9.63393e11 | − | 1.66865e12i | 0.525870 | − | 0.910833i | ||||
\(532\) | −1.71704e12 | −0.929347 | ||||||||
\(533\) | −4.12529e11 | + | 7.14521e11i | −0.221402 | + | 0.383480i | ||||
\(534\) | 3.53108e10 | − | 6.11600e10i | 0.0187919 | − | 0.0325486i | ||||
\(535\) | −2.05374e11 | − | 3.55719e11i | −0.108381 | − | 0.187722i | ||||
\(536\) | 6.01148e11 | + | 1.04122e12i | 0.314586 | + | 0.544879i | ||||
\(537\) | 3.83273e11 | 0.198895 | ||||||||
\(538\) | −5.04919e11 | −0.259837 | ||||||||
\(539\) | −2.80356e11 | − | 4.85592e11i | −0.143074 | − | 0.247812i | ||||
\(540\) | 8.16765e10 | + | 1.41468e11i | 0.0413357 | + | 0.0715955i | ||||
\(541\) | 3.14332e11 | − | 5.44439e11i | 0.157761 | − | 0.273251i | −0.776300 | − | 0.630364i | \(-0.782906\pi\) |
0.934061 | + | 0.357113i | \(0.116239\pi\) | |||||||
\(542\) | 9.00721e10 | − | 1.56010e11i | 0.0448326 | − | 0.0776523i | ||||
\(543\) | 3.46489e11 | 0.171037 | ||||||||
\(544\) | −6.52033e11 | + | 1.12935e12i | −0.319208 | + | 0.552885i | ||||
\(545\) | −1.88256e11 | + | 3.26069e11i | −0.0914039 | + | 0.158316i | ||||
\(546\) | 1.75133e10 | − | 3.03339e10i | 0.00843337 | − | 0.0146070i | ||||
\(547\) | −9.77940e11 | − | 1.69384e12i | −0.467056 | − | 0.808965i | 0.532235 | − | 0.846596i | \(-0.321352\pi\) |
−0.999292 | + | 0.0376310i | \(0.988019\pi\) | |||||||
\(548\) | 1.67000e12 | 0.791048 | ||||||||
\(549\) | 1.01202e12 | + | 1.75288e12i | 0.475462 | + | 0.823524i | ||||
\(550\) | −1.05047e11 | + | 1.81947e11i | −0.0489499 | + | 0.0847837i | ||||
\(551\) | −2.12803e12 | −0.983550 | ||||||||
\(552\) | −4.94246e10 | + | 8.56060e10i | −0.0226578 | + | 0.0392445i | ||||
\(553\) | 5.09707e11 | + | 8.82838e11i | 0.231770 | + | 0.401438i | ||||
\(554\) | 9.64318e10 | + | 1.67025e11i | 0.0434937 | + | 0.0753333i | ||||
\(555\) | 9.43897e10 | 0.0422285 | ||||||||
\(556\) | 8.00948e11 | + | 1.38728e12i | 0.355441 | + | 0.615642i | ||||
\(557\) | −1.25357e12 | −0.551824 | −0.275912 | − | 0.961183i | \(-0.588980\pi\) | ||||
−0.275912 | + | 0.961183i | \(0.588980\pi\) | |||||||
\(558\) | 4.69638e11 | 0.205073 | ||||||||
\(559\) | −1.00845e11 | − | 2.06010e12i | −0.0436818 | − | 0.892352i | ||||
\(560\) | 4.50115e11 | 0.193409 | ||||||||
\(561\) | −2.16694e11 | −0.0923665 | ||||||||
\(562\) | 2.38375e11 | + | 4.12878e11i | 0.100797 | + | 0.174585i | ||||
\(563\) | 1.66089e12 | 0.696710 | 0.348355 | − | 0.937363i | \(-0.386740\pi\) | ||||
0.348355 | + | 0.937363i | \(0.386740\pi\) | |||||||
\(564\) | −1.58986e11 | − | 2.75372e11i | −0.0661611 | − | 0.114594i | ||||
\(565\) | 1.02303e11 | + | 1.77193e11i | 0.0422346 | + | 0.0731525i | ||||
\(566\) | 1.02224e11 | − | 1.77057e11i | 0.0418677 | − | 0.0725170i | ||||
\(567\) | −1.62704e12 | −0.661113 | ||||||||
\(568\) | −6.10165e11 | + | 1.05684e12i | −0.245969 | + | 0.426030i | ||||
\(569\) | 8.89297e11 | + | 1.54031e12i | 0.355665 | + | 0.616030i | 0.987232 | − | 0.159291i | \(-0.0509210\pi\) |
−0.631566 | + | 0.775322i | \(0.717588\pi\) | |||||||
\(570\) | 2.87674e10 | 0.0114147 | ||||||||
\(571\) | 4.19235e11 | + | 7.26137e11i | 0.165042 | + | 0.285862i | 0.936670 | − | 0.350212i | \(-0.113891\pi\) |
−0.771628 | + | 0.636074i | \(0.780557\pi\) | |||||||
\(572\) | −6.21989e11 | + | 1.07732e12i | −0.242941 | + | 0.420786i | ||||
\(573\) | 6.78912e10 | − | 1.17591e11i | 0.0263098 | − | 0.0455700i | ||||
\(574\) | 8.67719e10 | − | 1.50293e11i | 0.0333638 | − | 0.0577878i | ||||
\(575\) | 2.03565e12 | 0.776601 | ||||||||
\(576\) | −1.01806e12 | + | 1.76332e12i | −0.385363 | + | 0.667469i | ||||
\(577\) | −7.22343e11 | + | 1.25113e12i | −0.271302 | + | 0.469908i | −0.969195 | − | 0.246293i | \(-0.920787\pi\) |
0.697894 | + | 0.716201i | \(0.254121\pi\) | |||||||
\(578\) | −9.28906e10 | − | 1.60891e11i | −0.0346176 | − | 0.0599594i | ||||
\(579\) | −2.22721e11 | − | 3.85764e11i | −0.0823582 | − | 0.142649i | ||||
\(580\) | 5.80864e11 | 0.213132 | ||||||||
\(581\) | 3.22744e12 | 1.17508 | ||||||||
\(582\) | −4.61971e10 | − | 8.00157e10i | −0.0166902 | − | 0.0289082i | ||||
\(583\) | 6.25905e11 | + | 1.08410e12i | 0.224388 | + | 0.388652i | ||||
\(584\) | −3.80773e11 | + | 6.59518e11i | −0.135459 | + | 0.234622i | ||||
\(585\) | −3.83402e11 | + | 6.64073e11i | −0.135349 | + | 0.234431i | ||||
\(586\) | 2.45605e11 | 0.0860396 | ||||||||
\(587\) | 1.83890e12 | − | 3.18507e12i | 0.639274 | − | 1.10726i | −0.346318 | − | 0.938117i | \(-0.612568\pi\) |
0.985592 | − | 0.169138i | \(-0.0540984\pi\) | |||||||
\(588\) | −9.92169e10 | + | 1.71849e11i | −0.0342285 | + | 0.0592855i | ||||
\(589\) | −2.18934e12 | + | 3.79205e12i | −0.749540 | + | 1.29824i | ||||
\(590\) | 9.35484e10 | + | 1.62031e11i | 0.0317835 | + | 0.0550507i | ||||
\(591\) | 2.98546e11 | 0.100662 | ||||||||
\(592\) | 1.29738e12 | + | 2.24713e12i | 0.434130 | + | 0.751936i | ||||
\(593\) | −3.23232e10 | + | 5.59853e10i | −0.0107341 | + | 0.0185921i | −0.871343 | − | 0.490675i | \(-0.836750\pi\) |
0.860608 | + | 0.509267i | \(0.170084\pi\) | |||||||
\(594\) | 9.11985e10 | 0.0300572 | ||||||||
\(595\) | −3.87082e11 | + | 6.70446e11i | −0.126613 | + | 0.219299i | ||||
\(596\) | 2.60153e12 | + | 4.50597e12i | 0.844539 | + | 1.46278i | ||||
\(597\) | 2.30939e11 | + | 3.99999e11i | 0.0744069 | + | 0.128877i | ||||
\(598\) | −4.59894e11 | −0.147063 | ||||||||
\(599\) | −8.07276e11 | − | 1.39824e12i | −0.256213 | − | 0.443774i | 0.709011 | − | 0.705197i | \(-0.249142\pi\) |
−0.965224 | + | 0.261423i | \(0.915808\pi\) | |||||||
\(600\) | 1.51540e11 | 0.0477360 | ||||||||
\(601\) | 3.34560e12 | 1.04602 | 0.523008 | − | 0.852328i | \(-0.324810\pi\) | ||||
0.523008 | + | 0.852328i | \(0.324810\pi\) | |||||||
\(602\) | 2.12119e10 | + | 4.33325e11i | 0.00658256 | + | 0.134471i | ||||
\(603\) | −5.32048e12 | −1.63879 | ||||||||
\(604\) | −5.05783e12 | −1.54632 | ||||||||
\(605\) | −3.46910e11 | − | 6.00866e11i | −0.105273 | − | 0.182339i | ||||
\(606\) | 2.03069e9 | 0.000611669 | ||||||||
\(607\) | −3.41966e11 | − | 5.92303e11i | −0.102243 | − | 0.177090i | 0.810365 | − | 0.585925i | \(-0.199269\pi\) |
−0.912608 | + | 0.408835i | \(0.865935\pi\) | |||||||
\(608\) | 1.26656e12 | + | 2.19375e12i | 0.375890 | + | 0.651060i | ||||
\(609\) | 1.19656e11 | − | 2.07250e11i | 0.0352498 | − | 0.0610545i | ||||
\(610\) | −1.96541e11 | −0.0574738 | ||||||||
\(611\) | 1.50758e12 | − | 2.61121e12i | 0.437618 | − | 0.757976i | ||||
\(612\) | −1.91168e12 | − | 3.31114e12i | −0.550852 | − | 0.954104i | ||||
\(613\) | 6.37095e11 | 0.182235 | 0.0911176 | − | 0.995840i | \(-0.470956\pi\) | ||||
0.0911176 | + | 0.995840i | \(0.470956\pi\) | |||||||
\(614\) | 2.40720e11 | + | 4.16940e11i | 0.0683526 | + | 0.118390i | ||||
\(615\) | 3.81015e10 | − | 6.59938e10i | 0.0107400 | − | 0.0186022i | ||||
\(616\) | 2.66652e11 | − | 4.61855e11i | 0.0746159 | − | 0.129239i | ||||
\(617\) | −1.14371e12 | + | 1.98096e12i | −0.317711 | + | 0.550292i | −0.980010 | − | 0.198948i | \(-0.936248\pi\) |
0.662299 | + | 0.749240i | \(0.269581\pi\) | |||||||
\(618\) | 1.04422e11 | 0.0287968 | ||||||||
\(619\) | 3.11755e12 | − | 5.39975e12i | 0.853503 | − | 1.47831i | −0.0245236 | − | 0.999699i | \(-0.507807\pi\) |
0.878027 | − | 0.478612i | \(-0.158860\pi\) | |||||||
\(620\) | 5.97599e11 | − | 1.03507e12i | 0.162423 | − | 0.281325i | ||||
\(621\) | −4.41822e11 | − | 7.65258e11i | −0.119216 | − | 0.206488i | ||||
\(622\) | 8.11214e10 | + | 1.40506e11i | 0.0217310 | + | 0.0376391i | ||||
\(623\) | 3.69171e12 | 0.981818 | ||||||||
\(624\) | 4.22800e11 | 0.111636 | ||||||||
\(625\) | −1.37817e12 | − | 2.38706e12i | −0.361279 | − | 0.625753i | ||||
\(626\) | 2.93815e11 | + | 5.08903e11i | 0.0764697 | + | 0.132449i | ||||
\(627\) | −2.10462e11 | + | 3.64532e11i | −0.0543839 | + | 0.0941957i | ||||
\(628\) | 3.25620e12 | − | 5.63991e12i | 0.835398 | − | 1.44695i | ||||
\(629\) | −4.46280e12 | −1.13679 | ||||||||
\(630\) | 8.06454e10 | − | 1.39682e11i | 0.0203961 | − | 0.0353271i | ||||
\(631\) | −5.69331e11 | + | 9.86110e11i | −0.142966 | + | 0.247624i | −0.928612 | − | 0.371052i | \(-0.878997\pi\) |
0.785646 | + | 0.618676i | \(0.212331\pi\) | |||||||
\(632\) | 4.98200e11 | − | 8.62908e11i | 0.124216 | − | 0.215148i | ||||
\(633\) | −1.58474e11 | − | 2.74485e11i | −0.0392320 | − | 0.0679519i | ||||
\(634\) | −1.12384e12 | −0.276251 | ||||||||
\(635\) | 1.38957e11 | + | 2.40681e11i | 0.0339156 | + | 0.0587436i | ||||
\(636\) | 2.21505e11 | − | 3.83658e11i | 0.0536817 | − | 0.0929795i | ||||
\(637\) | −1.88164e12 | −0.452804 | ||||||||
\(638\) | 1.62146e11 | − | 2.80845e11i | 0.0387447 | − | 0.0671078i | ||||
\(639\) | −2.70014e12 | − | 4.67679e12i | −0.640668 | − | 1.10967i | ||||
\(640\) | −4.57766e11 | − | 7.92873e11i | −0.107853 | − | 0.186807i | ||||
\(641\) | 1.66242e12 | 0.388937 | 0.194468 | − | 0.980909i | \(-0.437702\pi\) | ||||
0.194468 | + | 0.980909i | \(0.437702\pi\) | |||||||
\(642\) | 4.05772e10 | + | 7.02818e10i | 0.00942703 | + | 0.0163281i | ||||
\(643\) | −3.71602e12 | −0.857292 | −0.428646 | − | 0.903473i | \(-0.641009\pi\) | ||||
−0.428646 | + | 0.903473i | \(0.641009\pi\) | |||||||
\(644\) | −2.53528e12 | −0.580818 | ||||||||
\(645\) | 9.31413e9 | + | 1.90273e11i | 0.00211896 | + | 0.0432871i | ||||
\(646\) | −1.36014e12 | −0.307282 | ||||||||
\(647\) | −3.40734e12 | −0.764446 | −0.382223 | − | 0.924070i | \(-0.624841\pi\) | ||||
−0.382223 | + | 0.924070i | \(0.624841\pi\) | |||||||
\(648\) | 7.95156e11 | + | 1.37725e12i | 0.177160 | + | 0.306850i | ||||
\(649\) | −2.73760e12 | −0.605717 | ||||||||
\(650\) | 3.52517e11 | + | 6.10578e11i | 0.0774588 | + | 0.134163i | ||||
\(651\) | −2.46207e11 | − | 4.26442e11i | −0.0537261 | − | 0.0930563i | ||||
\(652\) | 1.45119e12 | − | 2.51354e12i | 0.314493 | − | 0.544718i | ||||
\(653\) | 7.25351e12 | 1.56113 | 0.780565 | − | 0.625075i | \(-0.214931\pi\) | ||||
0.780565 | + | 0.625075i | \(0.214931\pi\) | |||||||
\(654\) | 3.71950e10 | − | 6.44237e10i | 0.00795033 | − | 0.0137704i | ||||
\(655\) | −6.35810e11 | − | 1.10125e12i | −0.134971 | − | 0.233777i | ||||
\(656\) | 2.09482e12 | 0.441650 | ||||||||
\(657\) | −1.68502e12 | − | 2.91855e12i | −0.352827 | − | 0.611114i | ||||
\(658\) | −3.17107e11 | + | 5.49245e11i | −0.0659461 | + | 0.114222i | ||||
\(659\) | −2.00762e12 | + | 3.47731e12i | −0.414666 | + | 0.718222i | −0.995393 | − | 0.0958759i | \(-0.969435\pi\) |
0.580728 | + | 0.814098i | \(0.302768\pi\) | |||||||
\(660\) | 5.74474e10 | − | 9.95019e10i | 0.0117848 | − | 0.0204119i | ||||
\(661\) | 4.27017e12 | 0.870038 | 0.435019 | − | 0.900421i | \(-0.356742\pi\) | ||||
0.435019 | + | 0.900421i | \(0.356742\pi\) | |||||||
\(662\) | 6.02543e11 | − | 1.04363e12i | 0.121935 | − | 0.211197i | ||||
\(663\) | −3.63592e11 | + | 6.29760e11i | −0.0730808 | + | 0.126580i | ||||
\(664\) | −1.57729e12 | − | 2.73195e12i | −0.314887 | − | 0.545401i | ||||
\(665\) | 7.51900e11 | + | 1.30233e12i | 0.149095 | + | 0.258240i | ||||
\(666\) | 9.29789e11 | 0.183126 | ||||||||
\(667\) | −3.14214e12 | −0.614694 | ||||||||
\(668\) | 1.53091e12 | + | 2.65162e12i | 0.297479 | + | 0.515249i | ||||
\(669\) | −1.06789e11 | − | 1.84963e11i | −0.0206114 | − | 0.0357000i | ||||
\(670\) | 2.58318e11 | − | 4.47419e11i | 0.0495242 | − | 0.0857784i | ||||
\(671\) | 1.43790e12 | − | 2.49052e12i | 0.273828 | − | 0.474283i | ||||
\(672\) | −2.84867e11 | −0.0538866 | ||||||||
\(673\) | 2.22729e12 | − | 3.85779e12i | 0.418514 | − | 0.724887i | −0.577277 | − | 0.816549i | \(-0.695885\pi\) |
0.995790 | + | 0.0916618i | \(0.0292179\pi\) | |||||||
\(674\) | 1.59495e11 | − | 2.76254e11i | 0.0297700 | − | 0.0515631i | ||||
\(675\) | −6.77329e11 | + | 1.17317e12i | −0.125584 | + | 0.217517i | ||||
\(676\) | −5.27704e11 | − | 9.14010e11i | −0.0971919 | − | 0.168341i | ||||
\(677\) | 2.01002e12 | 0.367749 | 0.183875 | − | 0.982950i | \(-0.441136\pi\) | ||||
0.183875 | + | 0.982950i | \(0.441136\pi\) | |||||||
\(678\) | −2.02126e10 | − | 3.50093e10i | −0.00367357 | − | 0.00636282i | ||||
\(679\) | 2.41493e12 | − | 4.18278e12i | 0.436004 | − | 0.755182i | ||||
\(680\) | 7.56687e11 | 0.135715 | ||||||||
\(681\) | −3.11028e11 | + | 5.38717e11i | −0.0554163 | + | 0.0959839i | ||||
\(682\) | −3.33634e11 | − | 5.77871e11i | −0.0590529 | − | 0.102283i | ||||
\(683\) | 2.22798e10 | + | 3.85898e10i | 0.00391759 | + | 0.00678546i | 0.867978 | − | 0.496603i | \(-0.165420\pi\) |
−0.864060 | + | 0.503389i | \(0.832086\pi\) | |||||||
\(684\) | −7.42683e12 | −1.29733 | ||||||||
\(685\) | −7.31299e11 | − | 1.26665e12i | −0.126908 | − | 0.219810i | ||||
\(686\) | 1.17671e12 | 0.202867 | ||||||||
\(687\) | 4.65088e11 | 0.0796581 | ||||||||
\(688\) | −4.40180e12 | + | 2.83704e12i | −0.749001 | + | 0.482744i | ||||
\(689\) | 4.20083e12 | 0.710148 | ||||||||
\(690\) | 4.24763e10 | 0.00713387 | ||||||||
\(691\) | 3.49236e12 | + | 6.04895e12i | 0.582731 | + | 1.00932i | 0.995154 | + | 0.0983274i | \(0.0313492\pi\) |
−0.412423 | + | 0.910992i | \(0.635317\pi\) | |||||||
\(692\) | −2.50558e12 | −0.415366 | ||||||||
\(693\) | 1.18001e12 | + | 2.04383e12i | 0.194350 | + | 0.336624i | ||||
\(694\) | −1.10214e12 | − | 1.90896e12i | −0.180351 | − | 0.312377i | ||||
\(695\) | 7.01478e11 | − | 1.21500e12i | 0.114047 | − | 0.197535i | ||||
\(696\) | −2.33910e11 | −0.0377839 | ||||||||
\(697\) | −1.80146e12 | + | 3.12023e12i | −0.289120 | + | 0.500771i | ||||
\(698\) | −7.82920e11 | − | 1.35606e12i | −0.124844 | − | 0.216236i | ||||
\(699\) | −1.53621e12 | −0.243390 | ||||||||
\(700\) | 1.94334e12 | + | 3.36597e12i | 0.305920 | + | 0.529869i | ||||
\(701\) | 1.24302e12 | − | 2.15298e12i | 0.194423 | − | 0.336751i | −0.752288 | − | 0.658834i | \(-0.771050\pi\) |
0.946711 | + | 0.322083i | \(0.104383\pi\) | |||||||
\(702\) | 1.53022e11 | − | 2.65042e11i | 0.0237814 | − | 0.0411906i | ||||
\(703\) | −4.33446e12 | + | 7.50750e12i | −0.669323 | + | 1.15930i | ||||
\(704\) | 2.89294e12 | 0.443876 | ||||||||
\(705\) | −1.39242e11 | + | 2.41173e11i | −0.0212284 | + | 0.0367687i | ||||
\(706\) | −8.37380e11 | + | 1.45038e12i | −0.126853 | + | 0.219716i | ||||
\(707\) | 5.30767e10 | + | 9.19315e10i | 0.00798944 | + | 0.0138381i | ||||
\(708\) | 4.84413e11 | + | 8.39028e11i | 0.0724546 | + | 0.125495i | ||||
\(709\) | −5.20102e11 | −0.0773001 | −0.0386501 | − | 0.999253i | \(-0.512306\pi\) | ||||
−0.0386501 | + | 0.999253i | \(0.512306\pi\) | |||||||
\(710\) | 5.24384e11 | 0.0774439 | ||||||||
\(711\) | 2.20467e12 | + | 3.81860e12i | 0.323542 | + | 0.560391i | ||||
\(712\) | −1.80418e12 | − | 3.12494e12i | −0.263100 | − | 0.455702i | ||||
\(713\) | −3.23266e12 | + | 5.59913e12i | −0.468443 | + | 0.811367i | ||||
\(714\) | 7.64785e10 | − | 1.32465e11i | 0.0110128 | − | 0.0190747i | ||||
\(715\) | 1.08949e12 | 0.155900 | ||||||||
\(716\) | 4.80412e12 | − | 8.32098e12i | 0.683133 | − | 1.18322i | ||||
\(717\) | −6.01776e11 | + | 1.04231e12i | −0.0850351 | + | 0.147285i | ||||
\(718\) | −5.95077e10 | + | 1.03070e11i | −0.00835629 | + | 0.0144735i | ||||
\(719\) | 3.18932e11 | + | 5.52406e11i | 0.0445059 | + | 0.0770865i | 0.887420 | − | 0.460961i | \(-0.152495\pi\) |
−0.842914 | + | 0.538048i | \(0.819162\pi\) | |||||||
\(720\) | 1.94691e12 | 0.269992 | ||||||||
\(721\) | 2.72931e12 | + | 4.72730e12i | 0.376135 | + | 0.651486i | ||||
\(722\) | −6.21125e11 | + | 1.07582e12i | −0.0850671 | + | 0.147340i | ||||
\(723\) | −6.82007e11 | −0.0928254 | ||||||||
\(724\) | 4.34306e12 | − | 7.52240e12i | 0.587452 | − | 1.01750i | ||||
\(725\) | 2.40851e12 | + | 4.17165e12i | 0.323763 | + | 0.560773i | ||||
\(726\) | 6.85414e10 | + | 1.18717e11i | 0.00915668 | + | 0.0158598i | ||||
\(727\) | −6.56983e12 | −0.872267 | −0.436133 | − | 0.899882i | \(-0.643652\pi\) | ||||
−0.436133 | + | 0.899882i | \(0.643652\pi\) | |||||||
\(728\) | −8.94832e11 | − | 1.54989e12i | −0.118073 | − | 0.204508i | ||||
\(729\) | −6.74062e12 | −0.883947 | ||||||||
\(730\) | 3.27242e11 | 0.0426497 | ||||||||
\(731\) | −4.40378e11 | − | 8.99623e12i | −0.0570423 | − | 1.16529i | ||||
\(732\) | −1.01773e12 | −0.131019 | ||||||||
\(733\) | 3.76977e12 | 0.482333 | 0.241166 | − | 0.970484i | \(-0.422470\pi\) | ||||
0.241166 | + | 0.970484i | \(0.422470\pi\) | |||||||
\(734\) | 1.37629e11 | + | 2.38380e11i | 0.0175015 | + | 0.0303136i | ||||
\(735\) | 1.73790e11 | 0.0219651 | ||||||||
\(736\) | 1.87013e12 | + | 3.23917e12i | 0.234921 | + | 0.406896i | ||||
\(737\) | 3.77971e12 | + | 6.54665e12i | 0.471905 | + | 0.817364i | ||||
\(738\) | 3.75320e11 | − | 6.50074e11i | 0.0465745 | − | 0.0806695i | ||||
\(739\) | −5.85653e12 | −0.722338 | −0.361169 | − | 0.932500i | \(-0.617622\pi\) | ||||
−0.361169 | + | 0.932500i | \(0.617622\pi\) | |||||||
\(740\) | 1.18313e12 | − | 2.04923e12i | 0.145040 | − | 0.251217i | ||||
\(741\) | 7.06271e11 | + | 1.22330e12i | 0.0860576 | + | 0.149056i | ||||
\(742\) | −8.83609e11 | −0.107015 | ||||||||
\(743\) | −6.30152e10 | − | 1.09146e11i | −0.00758570 | − | 0.0131388i | 0.862208 | − | 0.506555i | \(-0.169081\pi\) |
−0.869793 | + | 0.493416i | \(0.835748\pi\) | |||||||
\(744\) | −2.40648e11 | + | 4.16815e11i | −0.0287942 | + | 0.0498730i | ||||
\(745\) | 2.27844e12 | − | 3.94638e12i | 0.270978 | − | 0.469348i | ||||
\(746\) | −1.26719e10 | + | 2.19483e10i | −0.00149801 | + | 0.00259463i | ||||
\(747\) | 1.39599e13 | 1.64036 | ||||||||
\(748\) | −2.71615e12 | + | 4.70451e12i | −0.317246 | + | 0.549487i | ||||
\(749\) | −2.12116e12 | + | 3.67395e12i | −0.246266 | + | 0.426545i | ||||
\(750\) | −6.85562e10 | − | 1.18743e11i | −0.00791173 | − | 0.0137035i | ||||
\(751\) | 6.76424e12 | + | 1.17160e13i | 0.775959 | + | 1.34400i | 0.934254 | + | 0.356609i | \(0.116067\pi\) |
−0.158294 | + | 0.987392i | \(0.550599\pi\) | |||||||
\(752\) | −7.65547e12 | −0.872955 | ||||||||
\(753\) | 1.20294e12 | 0.136354 | ||||||||
\(754\) | −5.44130e11 | − | 9.42460e11i | −0.0613100 | − | 0.106192i | ||||
\(755\) | 2.21485e12 | + | 3.83623e12i | 0.248075 | + | 0.429679i | ||||
\(756\) | 8.43574e11 | − | 1.46111e12i | 0.0939237 | − | 0.162681i | ||||
\(757\) | −3.36705e12 | + | 5.83189e12i | −0.372664 | + | 0.645473i | −0.989974 | − | 0.141247i | \(-0.954889\pi\) |
0.617310 | + | 0.786720i | \(0.288222\pi\) | |||||||
\(758\) | 1.91636e12 | 0.210846 | ||||||||
\(759\) | −3.10757e11 | + | 5.38247e11i | −0.0339886 | + | 0.0588699i | ||||
\(760\) | 7.34926e11 | − | 1.27293e12i | 0.0799065 | − | 0.138402i | ||||
\(761\) | 1.42513e11 | − | 2.46840e11i | 0.0154036 | − | 0.0266799i | −0.858221 | − | 0.513281i | \(-0.828430\pi\) |
0.873624 | + | 0.486601i | \(0.161763\pi\) | |||||||
\(762\) | −2.74547e10 | − | 4.75530e10i | −0.00294999 | − | 0.00510953i | ||||
\(763\) | 3.88871e12 | 0.415379 | ||||||||
\(764\) | −1.70196e12 | − | 2.94788e12i | −0.180730 | − | 0.313033i | ||||
\(765\) | −1.67427e12 | + | 2.89993e12i | −0.176746 | + | 0.306133i | ||||
\(766\) | 1.04656e12 | 0.109833 | ||||||||
\(767\) | −4.59343e12 | + | 7.95606e12i | −0.479246 | + | 0.830078i | ||||
\(768\) | −4.40987e11 | − | 7.63811e11i | −0.0457404 | − | 0.0792247i | ||||
\(769\) | 5.66626e12 | + | 9.81425e12i | 0.584289 | + | 1.01202i | 0.994964 | + | 0.100237i | \(0.0319600\pi\) |
−0.410674 | + | 0.911782i | \(0.634707\pi\) | |||||||
\(770\) | −2.29164e11 | −0.0234930 | ||||||||
\(771\) | −1.74284e11 | − | 3.01869e11i | −0.0177629 | − | 0.0307662i | ||||
\(772\) | −1.11667e13 | −1.13149 | ||||||||
\(773\) | −1.41812e13 | −1.42859 | −0.714293 | − | 0.699847i | \(-0.753252\pi\) | ||||
−0.714293 | + | 0.699847i | \(0.753252\pi\) | |||||||
\(774\) | 9.17491e10 | + | 1.87429e12i | 0.00918898 | + | 0.187717i | ||||
\(775\) | 9.91157e12 | 0.986926 | ||||||||
\(776\) | −4.72082e12 | −0.467348 | ||||||||
\(777\) | −4.87440e11 | − | 8.44270e11i | −0.0479762 | − | 0.0830973i | ||||
\(778\) | 2.87390e12 | 0.281231 | ||||||||
\(779\) | 3.49931e12 | + | 6.06099e12i | 0.340458 | + | 0.589691i | ||||
\(780\) | −1.92782e11 | − | 3.33909e11i | −0.0186484 | − | 0.0323000i | ||||
\(781\) | −3.83640e12 | + | 6.64485e12i | −0.368973 | + | 0.639080i | ||||
\(782\) | −2.00830e12 | −0.192043 | ||||||||
\(783\) | 1.04549e12 | − | 1.81085e12i | 0.0994017 | − | 0.172169i | ||||
\(784\) | 2.38874e12 | + | 4.13742e12i | 0.225812 | + | 0.391117i | ||||
\(785\) | −5.70363e12 | −0.536091 | ||||||||
\(786\) | 1.25621e11 | + | 2.17582e11i | 0.0117398 | + | 0.0203340i | ||||
\(787\) | 7.01216e12 | − | 1.21454e13i | 0.651577 | − | 1.12856i | −0.331164 | − | 0.943573i | \(-0.607441\pi\) |
0.982740 | − | 0.184991i | \(-0.0592255\pi\) | |||||||
\(788\) | 3.74212e12 | − | 6.48154e12i | 0.345740 | − | 0.598839i | ||||
\(789\) | −1.13292e12 | + | 1.96227e12i | −0.104076 | + | 0.180265i | ||||
\(790\) | −4.28160e11 | −0.0391097 | ||||||||
\(791\) | 1.05660e12 | − | 1.83009e12i | 0.0959662 | − | 0.166218i | ||||
\(792\) | 1.15337e12 | − | 1.99769e12i | 0.104161 | − | 0.180412i | ||||
\(793\) | −4.82531e12 | − | 8.35768e12i | −0.433307 | − | 0.750510i | ||||
\(794\) | 1.57512e12 | + | 2.72820e12i | 0.140644 | + | 0.243603i | ||||
\(795\) | −3.87993e11 | −0.0344486 | ||||||||
\(796\) | 1.15788e13 | 1.02225 | ||||||||
\(797\) | −6.49154e12 | − | 1.12437e13i | −0.569882 | − | 0.987065i | −0.996577 | − | 0.0826696i | \(-0.973655\pi\) |
0.426695 | − | 0.904396i | \(-0.359678\pi\) | |||||||
\(798\) | −1.48558e11 | − | 2.57310e11i | −0.0129683 | − | 0.0224618i | ||||
\(799\) | 6.58342e12 | − | 1.14028e13i | 0.571467 | − | 0.989810i | ||||
\(800\) | 2.86698e12 | − | 4.96576e12i | 0.247469 | − | 0.428628i | ||||
\(801\) | 1.59680e13 | 1.37058 | ||||||||
\(802\) | −1.98806e12 | + | 3.44341e12i | −0.169685 | + | 0.293903i | ||||
\(803\) | −2.39411e12 | + | 4.14671e12i | −0.203200 | + | 0.351953i | ||||
\(804\) | 1.33762e12 | − | 2.31683e12i | 0.112897 | − | 0.195543i | ||||
\(805\) | 1.11021e12 | + | 1.92295e12i | 0.0931805 | + | 0.161393i | ||||
\(806\) | −2.23922e12 | −0.186892 | ||||||||
\(807\) | 1.14494e12 | + | 1.98309e12i | 0.0950278 | + | 0.164593i | ||||
\(808\) | 5.18784e10 | − | 8.98561e10i | 0.00428189 | − | 0.00741645i | ||||
\(809\) | −1.23683e13 | −1.01517 | −0.507587 | − | 0.861601i | \(-0.669462\pi\) | ||||
−0.507587 | + | 0.861601i | \(0.669462\pi\) | |||||||
\(810\) | 3.41684e11 | − | 5.91815e11i | 0.0278896 | − | 0.0483062i | ||||
\(811\) | −4.15875e12 | − | 7.20316e12i | −0.337574 | − | 0.584695i | 0.646402 | − | 0.762997i | \(-0.276273\pi\) |
−0.983976 | + | 0.178302i | \(0.942940\pi\) | |||||||
\(812\) | −2.99965e12 | − | 5.19555e12i | −0.242141 | − | 0.419401i | ||||
\(813\) | −8.16977e11 | −0.0655847 | ||||||||
\(814\) | −6.60529e11 | − | 1.14407e12i | −0.0527329 | − | 0.0913361i | ||||
\(815\) | −2.54194e12 | −0.201816 | ||||||||
\(816\) | 1.84631e12 | 0.145781 | ||||||||
\(817\) | −1.55615e13 | − | 7.99668e12i | −1.22195 | − | 0.627929i | ||||
\(818\) | 1.38112e12 | 0.107855 | ||||||||
\(819\) | 7.91974e12 | 0.615083 | ||||||||
\(820\) | −9.55166e11 | − | 1.65440e12i | −0.0737762 | − | 0.127784i | ||||
\(821\) | 1.13714e13 | 0.873513 | 0.436756 | − | 0.899580i | \(-0.356127\pi\) | ||||
0.436756 | + | 0.899580i | \(0.356127\pi\) | |||||||
\(822\) | 1.44488e11 | + | 2.50260e11i | 0.0110384 | + | 0.0191191i | ||||
\(823\) | −9.89159e12 | − | 1.71327e13i | −0.751566 | − | 1.30175i | −0.947064 | − | 0.321046i | \(-0.895966\pi\) |
0.195498 | − | 0.980704i | \(-0.437368\pi\) | |||||||
\(824\) | 2.66769e12 | − | 4.62058e12i | 0.201588 | − | 0.349160i | ||||
\(825\) | 9.52804e11 | 0.0716079 | ||||||||
\(826\) | 9.66190e11 | − | 1.67349e12i | 0.0722191 | − | 0.125087i | ||||
\(827\) | −1.82996e11 | − | 3.16959e11i | −0.0136040 | − | 0.0235628i | 0.859143 | − | 0.511735i | \(-0.170997\pi\) |
−0.872747 | + | 0.488172i | \(0.837664\pi\) | |||||||
\(828\) | −1.09660e13 | −0.810798 | ||||||||
\(829\) | 9.16281e12 | + | 1.58705e13i | 0.673804 | + | 1.16706i | 0.976817 | + | 0.214076i | \(0.0686740\pi\) |
−0.303013 | + | 0.952986i | \(0.597993\pi\) | |||||||
\(830\) | −6.77773e11 | + | 1.17394e12i | −0.0495716 | + | 0.0858605i | ||||
\(831\) | 4.37330e11 | − | 7.57478e11i | 0.0318130 | − | 0.0551018i | ||||
\(832\) | 4.85407e12 | − | 8.40749e12i | 0.351197 | − | 0.608291i | ||||
\(833\) | −8.21691e12 | −0.591298 | ||||||||
\(834\) | −1.38596e11 | + | 2.40055e11i | −0.00991980 | + | 0.0171816i | ||||
\(835\) | 1.34079e12 | − | 2.32232e12i | 0.0954490 | − | 0.165323i | ||||
\(836\) | 5.27607e12 | + | 9.13842e12i | 0.373579 | + | 0.647058i | ||||
\(837\) | −2.15123e12 | − | 3.72604e12i | −0.151503 | − | 0.262411i | ||||
\(838\) | −2.79645e12 | −0.195888 | ||||||||
\(839\) | −1.16981e13 | −0.815053 | −0.407526 | − | 0.913193i | \(-0.633609\pi\) | ||||
−0.407526 | + | 0.913193i | \(0.633609\pi\) | |||||||
\(840\) | 8.26475e10 | + | 1.43150e11i | 0.00572760 | + | 0.00992050i | ||||
\(841\) | 3.53592e12 | + | 6.12438e12i | 0.243736 | + | 0.422163i | ||||
\(842\) | 2.51070e11 | − | 4.34865e11i | 0.0172143 | − | 0.0298161i | ||||
\(843\) | 1.08106e12 | − | 1.87245e12i | 0.0737269 | − | 0.127699i | ||||
\(844\) | −7.94554e12 | −0.538992 | ||||||||
\(845\) | −4.62168e11 | + | 8.00499e11i | −0.0311849 | + | 0.0540139i | ||||
\(846\) | −1.37160e12 | + | 2.37569e12i | −0.0920580 | + | 0.159449i | ||||
\(847\) | −3.58297e12 | + | 6.20589e12i | −0.239204 | + | 0.414313i | ||||
\(848\) | −5.33294e12 | − | 9.23692e12i | −0.354149 | − | 0.613403i | ||||
\(849\) | −9.27198e11 | −0.0612474 | ||||||||
\(850\) | 1.53940e12 | + | 2.66632e12i | 0.101150 | + | 0.175197i | ||||
\(851\) | −6.40001e12 | + | 1.10851e13i | −0.418310 | + | 0.724533i | ||||
\(852\) | 2.71537e12 | 0.176543 | ||||||||
\(853\) | 7.26432e12 | − | 1.25822e13i | 0.469812 | − | 0.813738i | −0.529592 | − | 0.848252i | \(-0.677655\pi\) |
0.999404 | + | 0.0345141i | \(0.0109884\pi\) | |||||||
\(854\) | 1.01496e12 | + | 1.75797e12i | 0.0652965 | + | 0.113097i | ||||
\(855\) | 3.25224e12 | + | 5.63305e12i | 0.208130 | + | 0.360493i | ||||
\(856\) | 4.14654e12 | 0.263970 | ||||||||
\(857\) | −1.10425e13 | − | 1.91262e13i | −0.699285 | − | 1.21120i | −0.968715 | − | 0.248177i | \(-0.920168\pi\) |
0.269430 | − | 0.963020i | \(-0.413165\pi\) | |||||||
\(858\) | −2.15258e11 | −0.0135602 | ||||||||
\(859\) | −3.94812e12 | −0.247412 | −0.123706 | − | 0.992319i | \(-0.539478\pi\) | ||||
−0.123706 | + | 0.992319i | \(0.539478\pi\) | |||||||
\(860\) | 4.24764e12 | + | 2.18276e12i | 0.264792 | + | 0.136070i | ||||
\(861\) | −7.87044e11 | −0.0488073 | ||||||||
\(862\) | 3.70377e12 | 0.228487 | ||||||||
\(863\) | −8.65591e12 | − | 1.49925e13i | −0.531207 | − | 0.920078i | −0.999337 | − | 0.0364179i | \(-0.988405\pi\) |
0.468129 | − | 0.883660i | \(-0.344928\pi\) | |||||||
\(864\) | −2.48902e12 | −0.151956 | ||||||||
\(865\) | 1.09721e12 | + | 1.90042e12i | 0.0666371 | + | 0.115419i | ||||
\(866\) | 1.24902e12 | + | 2.16336e12i | 0.0754636 | + | 0.130707i | ||||
\(867\) | −4.21271e11 | + | 7.29662e11i | −0.0253207 | + | 0.0438567i | ||||
\(868\) | −1.23443e13 | −0.738120 | ||||||||
\(869\) | 3.13243e12 | − | 5.42552e12i | 0.186334 | − | 0.322740i | ||||
\(870\) | 5.02563e10 | + | 8.70465e10i | 0.00297409 | + | 0.00515127i | ||||
\(871\) | 2.53679e13 | 1.49349 | ||||||||
\(872\) | −1.90046e12 | − | 3.29169e12i | −0.111310 | − | 0.192795i | ||||
\(873\) | 1.04455e13 | − | 1.80921e13i | 0.608644 | − | 1.05420i | ||||
\(874\) | −1.95055e12 | + | 3.37845e12i | −0.113072 | + | 0.195846i | ||||
\(875\) | 3.58375e12 | − | 6.20723e12i | 0.206681 | − | 0.357982i | ||||
\(876\) | 1.69453e12 | 0.0972255 | ||||||||
\(877\) | −6.51439e12 | + | 1.12833e13i | −0.371857 | + | 0.644075i | −0.989851 | − | 0.142108i | \(-0.954612\pi\) |
0.617994 | + | 0.786182i | \(0.287945\pi\) | |||||||
\(878\) | 3.55160e11 | − | 6.15155e11i | 0.0201697 | − | 0.0349349i | ||||
\(879\) | −5.56925e11 | − | 9.64623e11i | −0.0314664 | − | 0.0545014i | ||||
\(880\) | −1.38310e12 | − | 2.39560e12i | −0.0777467 | − | 0.134661i | ||||
\(881\) | 3.24861e13 | 1.81680 | 0.908398 | − | 0.418108i | \(-0.137306\pi\) | ||||
0.908398 | + | 0.418108i | \(0.137306\pi\) | |||||||
\(882\) | 1.71193e12 | 0.0952525 | ||||||||
\(883\) | 1.03787e13 | + | 1.79764e13i | 0.574537 | + | 0.995127i | 0.996092 | + | 0.0883243i | \(0.0281512\pi\) |
−0.421555 | + | 0.906803i | \(0.638515\pi\) | |||||||
\(884\) | 9.11487e12 | + | 1.57874e13i | 0.502013 | + | 0.869513i | ||||
\(885\) | 4.24254e11 | − | 7.34829e11i | 0.0232478 | − | 0.0402663i | ||||
\(886\) | 1.35626e12 | − | 2.34911e12i | 0.0739419 | − | 0.128071i | ||||
\(887\) | −3.25730e13 | −1.76686 | −0.883429 | − | 0.468566i | \(-0.844771\pi\) | ||||
−0.883429 | + | 0.468566i | \(0.844771\pi\) | |||||||
\(888\) | −4.76435e11 | + | 8.25210e11i | −0.0257126 | + | 0.0445355i | ||||
\(889\) | 1.43518e12 | − | 2.48581e12i | 0.0770637 | − | 0.133478i | ||||
\(890\) | −7.75270e11 | + | 1.34281e12i | −0.0414189 | + | 0.0717396i | ||||
\(891\) | 4.99954e12 | + | 8.65945e12i | 0.265754 | + | 0.460300i | ||||
\(892\) | −5.35416e12 | −0.283171 | ||||||||
\(893\) | −1.27882e13 | − | 2.21498e13i | −0.672941 | − | 1.16557i | ||||
\(894\) | −4.50167e11 | + | 7.79713e11i | −0.0235698 | + | 0.0408240i | ||||
\(895\) | −8.41499e12 | −0.438379 | ||||||||
\(896\) | −4.72791e12 | + | 8.18899e12i | −0.245066 | + | 0.424467i | ||||
\(897\) | 1.04284e12 | + | 1.80625e12i | 0.0537838 | + | 0.0931563i | ||||
\(898\) | 6.60170e11 | + | 1.14345e12i | 0.0338776 | + | 0.0586777i | ||||
\(899\) | −1.52990e13 | −0.781170 | ||||||||
\(900\) | 8.40567e12 | + | 1.45590e13i | 0.427052 | + | 0.739676i | ||||
\(901\) | 1.83445e13 | 0.927353 | ||||||||
\(902\) | −1.06652e12 | −0.0536464 | ||||||||
\(903\) | 1.65380e12 | − | 1.06590e12i | 0.0827729 | − | 0.0533486i | ||||
\(904\) | −2.06550e12 | −0.102865 | ||||||||
\(905\) | −7.60739e12 | −0.376979 | ||||||||
\(906\) | −4.37603e11 | − | 7.57951e11i | −0.0215776 | − | 0.0373735i | ||||
\(907\) | −1.35851e13 | −0.666546 | −0.333273 | − | 0.942830i | \(-0.608153\pi\) | ||||
−0.333273 | + | 0.942830i | \(0.608153\pi\) | |||||||
\(908\) | 7.79715e12 | + | 1.35051e13i | 0.380671 | + | 0.659341i | ||||
\(909\) | 2.29576e11 | + | 3.97637e11i | 0.0111529 | + | 0.0193174i | ||||
\(910\) | −3.84516e11 | + | 6.66001e11i | −0.0185878 | + | 0.0321950i | ||||
\(911\) | −1.81581e13 | −0.873448 | −0.436724 | − | 0.899596i | \(-0.643861\pi\) | ||||
−0.436724 | + | 0.899596i | \(0.643861\pi\) | |||||||
\(912\) | 1.79322e12 | − | 3.10594e12i | 0.0858333 | − | 0.148668i | ||||
\(913\) | −9.91719e12 | − | 1.71771e13i | −0.472357 | − | 0.818146i | ||||
\(914\) | 2.38119e12 | 0.112859 | ||||||||
\(915\) | 4.45670e11 | + | 7.71923e11i | 0.0210193 | + | 0.0364065i | ||||
\(916\) | 5.82964e12 | − | 1.00972e13i | 0.273597 | − | 0.473884i | ||||
\(917\) | −6.56679e12 | + | 1.13740e13i | −0.306684 | + | 0.531193i | ||||
\(918\) | 6.68230e11 | − | 1.15741e12i | 0.0310552 | − | 0.0537891i | ||||
\(919\) | 1.93512e13 | 0.894927 | 0.447463 | − | 0.894302i | \(-0.352327\pi\) | ||||
0.447463 | + | 0.894302i | \(0.352327\pi\) | |||||||
\(920\) | 1.08515e12 | − | 1.87953e12i | 0.0499395 | − | 0.0864978i | ||||
\(921\) | 1.09170e12 | − | 1.89088e12i | 0.0499959 | − | 0.0865954i | ||||
\(922\) | 3.63237e12 | + | 6.29145e12i | 0.165539 | + | 0.286722i | ||||
\(923\) | 1.28742e13 | + | 2.22988e13i | 0.583866 | + | 1.01129i | ||||
\(924\) | −1.18666e12 | −0.0535554 | ||||||||
\(925\) | 1.96229e13 | 0.881304 | ||||||||
\(926\) | −2.45939e12 | − | 4.25980e12i | −0.109921 | − | 0.190388i | ||||
\(927\) | 1.18053e13 | + | 2.04473e13i | 0.525070 | + | 0.909448i | ||||
\(928\) | −4.42534e12 | + | 7.66492e12i | −0.195876 | + | 0.339267i | ||||
\(929\) | 2.12764e13 | − | 3.68518e13i | 0.937188 | − | 1.62326i | 0.166504 | − | 0.986041i | \(-0.446752\pi\) |
0.770684 | − | 0.637217i | \(-0.219915\pi\) | |||||||
\(930\) | 2.06817e11 | 0.00906593 | ||||||||
\(931\) | −7.98060e12 | + | 1.38228e13i | −0.348147 | + | 0.603007i | ||||
\(932\) | −1.92556e13 | + | 3.33517e13i | −0.835960 | + | 1.44792i | ||||
\(933\) | 3.67896e11 | − | 6.37214e11i | 0.0158949 | − | 0.0275308i | ||||
\(934\) | −6.50633e11 | − | 1.12693e12i | −0.0279753 | − | 0.0484547i | ||||
\(935\) | 4.75766e12 | 0.203583 | ||||||||
\(936\) | −3.87048e12 | − | 6.70386e12i | −0.164825 | − | 0.285485i | ||||
\(937\) | 1.12693e12 | − | 1.95190e12i | 0.0477605 | − | 0.0827237i | −0.841157 | − | 0.540791i | \(-0.818125\pi\) |
0.888917 | + | 0.458068i | \(0.151458\pi\) | |||||||
\(938\) | −5.33593e12 | −0.225059 | ||||||||
\(939\) | 1.33249e12 | − | 2.30794e12i | 0.0559330 | − | 0.0968789i | ||||
\(940\) | 3.49064e12 | + | 6.04596e12i | 0.145824 | + | 0.252575i | ||||
\(941\) | −6.69588e12 | − | 1.15976e13i | −0.278390 | − | 0.482186i | 0.692595 | − | 0.721327i | \(-0.256468\pi\) |
−0.970985 | + | 0.239141i | \(0.923134\pi\) | |||||||
\(942\) | 1.12691e12 | 0.0466293 | ||||||||
\(943\) | 5.16688e12 | + | 8.94931e12i | 0.212778 | + | 0.368542i | ||||
\(944\) | 2.33254e13 | 0.955994 | ||||||||
\(945\) | −1.47762e12 | −0.0602726 | ||||||||
\(946\) | 2.24106e12 | − | 1.44440e12i | 0.0909796 | − | 0.0586379i | ||||
\(947\) | −2.03001e13 | −0.820206 | −0.410103 | − | 0.912039i | \(-0.634507\pi\) | ||||
−0.410103 | + | 0.912039i | \(0.634507\pi\) | |||||||
\(948\) | −2.21710e12 | −0.0891555 | ||||||||
\(949\) | 8.03415e12 | + | 1.39156e13i | 0.321545 | + | 0.556933i | ||||
\(950\) | 5.98052e12 | 0.238222 | ||||||||
\(951\) | 2.54838e12 | + | 4.41393e12i | 0.101031 | + | 0.174990i | ||||
\(952\) | −3.90762e12 | − | 6.76820e12i | −0.154186 | − | 0.267059i | ||||
\(953\) | −1.94620e13 | + | 3.37092e13i | −0.764310 | + | 1.32382i | 0.176300 | + | 0.984336i | \(0.443587\pi\) |
−0.940610 | + | 0.339488i | \(0.889746\pi\) | |||||||
\(954\) | −3.82193e12 | −0.149388 | ||||||||
\(955\) | −1.49060e12 | + | 2.58179e12i | −0.0579889 | + | 0.100440i | ||||
\(956\) | 1.50859e13 | + | 2.61295e13i | 0.584131 | + | 1.01174i | ||||
\(957\) | −1.47070e12 | −0.0566789 | ||||||||
\(958\) | −2.40840e12 | − | 4.17146e12i | −0.0923811 | − | 0.160009i | ||||
\(959\) | −7.55303e12 | + | 1.30822e13i | −0.288362 | + | 0.499457i | ||||
\(960\) | −4.48326e11 | + | 7.76524e11i | −0.0170362 | + | 0.0295076i | ||||
\(961\) | −2.51998e12 | + | 4.36474e12i | −0.0953109 | + | 0.165083i | ||||
\(962\) | −4.43321e12 | −0.166890 | ||||||||
\(963\) | −9.17478e12 | + | 1.58912e13i | −0.343777 | + | 0.595440i | ||||
\(964\) | −8.54860e12 | + | 1.48066e13i | −0.318822 | + | 0.552216i | ||||
\(965\) | 4.88997e12 | + | 8.46968e12i | 0.181524 | + | 0.314409i | ||||
\(966\) | −2.19352e11 | − | 3.79929e11i | −0.00810486 | − | 0.0140380i | ||||
\(967\) | 1.94850e13 | 0.716606 | 0.358303 | − | 0.933605i | \(-0.383356\pi\) | ||||
0.358303 | + | 0.933605i | \(0.383356\pi\) | |||||||
\(968\) | 7.00417e12 | 0.256400 | ||||||||
\(969\) | 3.08420e12 | + | 5.34199e12i | 0.112379 | + | 0.194646i | ||||
\(970\) | 1.01429e12 | + | 1.75680e12i | 0.0367864 | + | 0.0637160i | ||||
\(971\) | 1.57686e13 | − | 2.73120e13i | 0.569253 | − | 0.985976i | −0.427387 | − | 0.904069i | \(-0.640566\pi\) |
0.996640 | − | 0.0819069i | \(-0.0261010\pi\) | |||||||
\(972\) | 5.49126e12 | − | 9.51115e12i | 0.197321 | − | 0.341771i | ||||
\(973\) | −1.44901e13 | −0.518278 | ||||||||
\(974\) | 2.94998e12 | − | 5.10952e12i | 0.105028 | − | 0.181913i | ||||
\(975\) | 1.59871e12 | − | 2.76905e12i | 0.0566565 | − | 0.0981319i | ||||
\(976\) | −1.22514e13 | + | 2.12201e13i | −0.432178 | + | 0.748554i | ||||
\(977\) | −1.52661e13 | − | 2.64417e13i | −0.536047 | − | 0.928460i | −0.999112 | − | 0.0421360i | \(-0.986584\pi\) |
0.463065 | − | 0.886324i | \(-0.346750\pi\) | |||||||
\(978\) | 5.02228e11 | 0.0175540 | ||||||||
\(979\) | −1.13438e13 | − | 1.96480e13i | −0.394671 | − | 0.683591i | ||||
\(980\) | 2.17837e12 | − | 3.77305e12i | 0.0754422 | − | 0.130670i | ||||
\(981\) | 1.68201e13 | 0.579853 | ||||||||
\(982\) | 5.18739e12 | − | 8.98483e12i | 0.178011 | − | 0.308325i | ||||
\(983\) | 1.98813e13 | + | 3.44355e13i | 0.679132 | + | 1.17629i | 0.975243 | + | 0.221138i | \(0.0709771\pi\) |
−0.296110 | + | 0.955154i | \(0.595690\pi\) | |||||||
\(984\) | 3.84638e11 | + | 6.66212e11i | 0.0130790 | + | 0.0226535i | ||||
\(985\) | −6.55477e12 | −0.221868 | ||||||||
\(986\) | −2.37615e12 | − | 4.11561e12i | −0.0800622 | − | 0.138672i | ||||
\(987\) | 2.87624e12 | 0.0964712 | ||||||||
\(988\) | 3.54109e13 | 1.18231 | ||||||||
\(989\) | −2.29772e13 | − | 1.18074e13i | −0.763686 | − | 0.392440i | ||||
\(990\) | −9.91220e11 | −0.0327953 | ||||||||
\(991\) | 3.05167e13 | 1.00509 | 0.502546 | − | 0.864550i | \(-0.332397\pi\) | ||||
0.502546 | + | 0.864550i | \(0.332397\pi\) | |||||||
\(992\) | 9.10567e12 | + | 1.57715e13i | 0.298545 | + | 0.517095i | ||||
\(993\) | −5.46522e12 | −0.178376 | ||||||||
\(994\) | −2.70798e12 | − | 4.69036e12i | −0.0879847 | − | 0.152394i | ||||
\(995\) | −5.07042e12 | − | 8.78222e12i | −0.163999 | − | 0.284054i | ||||
\(996\) | −3.50965e12 | + | 6.07889e12i | −0.113005 | + | 0.195730i | ||||
\(997\) | −3.46927e13 | −1.11201 | −0.556007 | − | 0.831178i | \(-0.687667\pi\) | ||||
−0.556007 | + | 0.831178i | \(0.687667\pi\) | |||||||
\(998\) | −2.95283e12 | + | 5.11445e12i | −0.0942218 | + | 0.163197i | ||||
\(999\) | −4.25900e12 | − | 7.37680e12i | −0.135289 | − | 0.234328i |
(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.36.20 | yes | 64 | |
43.6 | even | 3 | inner | 43.10.c.a.6.20 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.20 | ✓ | 64 | 43.6 | even | 3 | inner | |
43.10.c.a.36.20 | yes | 64 | 1.1 | even | 1 | trivial |