Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,9,Mod(67,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.67");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(34.2198032451\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 67.12 | ||
Character | \(\chi\) | \(=\) | 84.67 |
Dual form | 84.9.l.a.79.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.43741 | − | 14.6479i | −0.402338 | − | 0.915491i | ||||
\(3\) | −40.5000 | − | 23.3827i | −0.500000 | − | 0.288675i | ||||
\(4\) | −173.120 | + | 188.589i | −0.676248 | + | 0.736674i | ||||
\(5\) | 478.743 | + | 829.208i | 0.765989 | + | 1.32673i | 0.939722 | + | 0.341940i | \(0.111084\pi\) |
−0.173733 | + | 0.984793i | \(0.555583\pi\) | |||||||
\(6\) | −81.7912 | + | 743.762i | −0.0631105 | + | 0.573891i | ||||
\(7\) | 544.790 | − | 2338.38i | 0.226901 | − | 0.973918i | ||||
\(8\) | 3876.86 | + | 1321.81i | 0.946499 | + | 0.322707i | ||||
\(9\) | 1093.50 | + | 1894.00i | 0.166667 | + | 0.288675i | ||||
\(10\) | 9064.25 | − | 12350.5i | 0.906425 | − | 1.23505i | ||||
\(11\) | −12967.6 | − | 7486.86i | −0.885706 | − | 0.511363i | −0.0131706 | − | 0.999913i | \(-0.504192\pi\) |
−0.872536 | + | 0.488551i | \(0.837526\pi\) | |||||||
\(12\) | 11421.0 | − | 3589.84i | 0.550783 | − | 0.173121i | ||||
\(13\) | 28268.5 | 0.989759 | 0.494879 | − | 0.868962i | \(-0.335212\pi\) | ||||
0.494879 | + | 0.868962i | \(0.335212\pi\) | |||||||
\(14\) | −37759.2 | + | 7073.09i | −0.982904 | + | 0.184118i | ||||
\(15\) | − | 44777.2i | − | 0.884488i | ||||||
\(16\) | −5595.27 | − | 65296.7i | −0.0853771 | − | 0.996349i | ||||
\(17\) | −30364.8 | + | 52593.3i | −0.363558 | + | 0.629701i | −0.988544 | − | 0.150935i | \(-0.951772\pi\) |
0.624985 | + | 0.780636i | \(0.285105\pi\) | |||||||
\(18\) | 20703.7 | − | 28209.9i | 0.197223 | − | 0.268727i | ||||
\(19\) | −95178.3 | + | 54951.2i | −0.730338 | + | 0.421661i | −0.818546 | − | 0.574441i | \(-0.805219\pi\) |
0.0882081 | + | 0.996102i | \(0.471886\pi\) | |||||||
\(20\) | −239259. | − | 53266.5i | −1.49537 | − | 0.332916i | ||||
\(21\) | −76741.5 | + | 81965.6i | −0.394596 | + | 0.421458i | ||||
\(22\) | −26188.6 | + | 238144.i | −0.111795 | + | 1.01660i | ||||
\(23\) | 34621.2 | − | 19988.6i | 0.123718 | − | 0.0714283i | −0.436864 | − | 0.899528i | \(-0.643911\pi\) |
0.560582 | + | 0.828099i | \(0.310578\pi\) | |||||||
\(24\) | −126105. | − | 144185.i | −0.380092 | − | 0.434584i | ||||
\(25\) | −263078. | + | 455664.i | −0.673480 | + | 1.16650i | ||||
\(26\) | −181976. | − | 414073.i | −0.398218 | − | 0.906115i | ||||
\(27\) | − | 102276.i | − | 0.192450i | ||||||
\(28\) | 346677. | + | 507560.i | 0.564018 | + | 0.825762i | ||||
\(29\) | −568718. | −0.804091 | −0.402046 | − | 0.915620i | \(-0.631701\pi\) | ||||
−0.402046 | + | 0.915620i | \(0.631701\pi\) | |||||||
\(30\) | −655890. | + | 288249.i | −0.809741 | + | 0.355863i | ||||
\(31\) | 615152. | + | 355158.i | 0.666094 | + | 0.384570i | 0.794595 | − | 0.607140i | \(-0.207683\pi\) |
−0.128501 | + | 0.991709i | \(0.541016\pi\) | |||||||
\(32\) | −920438. | + | 502300.i | −0.877798 | + | 0.479031i | ||||
\(33\) | 350126. | + | 606436.i | 0.295235 | + | 0.511363i | ||||
\(34\) | 965849. | + | 106214.i | 0.722759 | + | 0.0794815i | ||||
\(35\) | 2.19981e6 | − | 667739.i | 1.46593 | − | 0.444974i | ||||
\(36\) | −546492. | − | 121666.i | −0.325367 | − | 0.0724370i | ||||
\(37\) | −413972. | − | 717021.i | −0.220884 | − | 0.382582i | 0.734193 | − | 0.678941i | \(-0.237561\pi\) |
−0.955077 | + | 0.296359i | \(0.904228\pi\) | |||||||
\(38\) | 1.41762e6 | + | 1.04042e6i | 0.679869 | + | 0.498967i | ||||
\(39\) | −1.14487e6 | − | 660993.i | −0.494879 | − | 0.285719i | ||||
\(40\) | 759967. | + | 3.84753e6i | 0.296862 | + | 1.50294i | ||||
\(41\) | 4.10445e6 | 1.45251 | 0.726255 | − | 0.687425i | \(-0.241259\pi\) | ||||
0.726255 | + | 0.687425i | \(0.241259\pi\) | |||||||
\(42\) | 1.69464e6 | + | 596452.i | 0.544602 | + | 0.191681i | ||||
\(43\) | − | 1.55049e6i | − | 0.453517i | −0.973951 | − | 0.226759i | \(-0.927187\pi\) | ||
0.973951 | − | 0.226759i | \(-0.0728129\pi\) | |||||||
\(44\) | 3.65688e6 | − | 1.14942e6i | 0.975665 | − | 0.306669i | ||||
\(45\) | −1.04701e6 | + | 1.81348e6i | −0.255330 | + | 0.442244i | ||||
\(46\) | −515661. | − | 378452.i | −0.115168 | − | 0.0845240i | ||||
\(47\) | −6.70274e6 | + | 3.86983e6i | −1.37360 | + | 0.793050i | −0.991380 | − | 0.131020i | \(-0.958175\pi\) |
−0.382223 | + | 0.924070i | \(0.624841\pi\) | |||||||
\(48\) | −1.30020e6 | + | 2.77535e6i | −0.244933 | + | 0.522821i | ||||
\(49\) | −5.17121e6 | − | 2.54785e6i | −0.897032 | − | 0.441966i | ||||
\(50\) | 8.36805e6 | + | 920230.i | 1.33889 | + | 0.147237i | ||||
\(51\) | 2.45954e6 | − | 1.42002e6i | 0.363558 | − | 0.209900i | ||||
\(52\) | −4.89383e6 | + | 5.33111e6i | −0.669322 | + | 0.729129i | ||||
\(53\) | −4.86534e6 | + | 8.42701e6i | −0.616608 | + | 1.06800i | 0.373492 | + | 0.927633i | \(0.378160\pi\) |
−0.990100 | + | 0.140363i | \(0.955173\pi\) | |||||||
\(54\) | −1.49812e6 | + | 658392.i | −0.176186 | + | 0.0774300i | ||||
\(55\) | − | 1.43371e7i | − | 1.56679i | ||||||
\(56\) | 5.20296e6 | − | 8.34545e6i | 0.529052 | − | 0.848590i | ||||
\(57\) | 5.13963e6 | 0.486892 | ||||||||
\(58\) | 3.66107e6 | + | 8.33051e6i | 0.323517 | + | 0.736138i | ||||
\(59\) | 1.60282e7 | + | 9.25388e6i | 1.32275 | + | 0.763687i | 0.984166 | − | 0.177250i | \(-0.0567202\pi\) |
0.338580 | + | 0.940938i | \(0.390054\pi\) | |||||||
\(60\) | 8.44447e6 | + | 7.75181e6i | 0.651580 | + | 0.598134i | ||||
\(61\) | 1.34546e7 | + | 2.33040e7i | 0.971741 | + | 1.68311i | 0.690295 | + | 0.723528i | \(0.257481\pi\) |
0.281446 | + | 0.959577i | \(0.409186\pi\) | |||||||
\(62\) | 1.24232e6 | − | 1.12970e7i | 0.0840751 | − | 0.764531i | ||||
\(63\) | 5.02461e6 | − | 1.52518e6i | 0.318963 | − | 0.0968189i | ||||
\(64\) | 1.32829e7 | + | 1.02489e7i | 0.791720 | + | 0.610884i | ||||
\(65\) | 1.35334e7 | + | 2.34405e7i | 0.758145 | + | 1.31314i | ||||
\(66\) | 6.62908e6 | − | 9.03247e6i | 0.349364 | − | 0.476026i | ||||
\(67\) | −1.88655e7 | − | 1.08920e7i | −0.936201 | − | 0.540516i | −0.0474336 | − | 0.998874i | \(-0.515104\pi\) |
−0.888767 | + | 0.458358i | \(0.848438\pi\) | |||||||
\(68\) | −4.66176e6 | − | 1.48314e7i | −0.218029 | − | 0.693658i | ||||
\(69\) | −1.86955e6 | −0.0824784 | ||||||||
\(70\) | −2.39420e7 | − | 2.79241e7i | −0.997170 | − | 1.16302i | ||||
\(71\) | 3.99251e7i | 1.57113i | 0.618778 | + | 0.785566i | \(0.287628\pi\) | ||||
−0.618778 | + | 0.785566i | \(0.712372\pi\) | |||||||
\(72\) | 1.73584e6 | + | 8.78816e6i | 0.0645923 | + | 0.327015i | ||||
\(73\) | −1.61440e7 | + | 2.79622e7i | −0.568486 | + | 0.984647i | 0.428230 | + | 0.903670i | \(0.359137\pi\) |
−0.996716 | + | 0.0809768i | \(0.974196\pi\) | |||||||
\(74\) | −7.83791e6 | + | 1.06796e7i | −0.261381 | + | 0.356145i | ||||
\(75\) | 2.13093e7 | − | 1.23029e7i | 0.673480 | − | 0.388834i | ||||
\(76\) | 6.11405e6 | − | 2.74627e7i | 0.183263 | − | 0.823168i | ||||
\(77\) | −2.45717e7 | + | 2.62444e7i | −0.698993 | + | 0.746576i | ||||
\(78\) | −2.31211e6 | + | 2.10250e7i | −0.0624641 | + | 0.568013i | ||||
\(79\) | −8.23751e6 | + | 4.75593e6i | −0.211489 | + | 0.122103i | −0.602003 | − | 0.798494i | \(-0.705631\pi\) |
0.390514 | + | 0.920597i | \(0.372297\pi\) | |||||||
\(80\) | 5.14658e7 | − | 3.59000e7i | 1.25649 | − | 0.876465i | ||||
\(81\) | −2.39148e6 | + | 4.14217e6i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −2.64220e7 | − | 6.01213e7i | −0.584400 | − | 1.32976i | ||||
\(83\) | 8.38555e7i | 1.76693i | 0.468498 | + | 0.883464i | \(0.344795\pi\) | ||||
−0.468498 | + | 0.883464i | \(0.655205\pi\) | |||||||
\(84\) | −2.17232e6 | − | 2.86624e7i | −0.0436322 | − | 0.575699i | ||||
\(85\) | −5.81477e7 | −1.11393 | ||||||||
\(86\) | −2.27113e7 | + | 9.98111e6i | −0.415191 | + | 0.182467i | ||||
\(87\) | 2.30331e7 | + | 1.32982e7i | 0.402046 | + | 0.232121i | ||||
\(88\) | −4.03775e7 | − | 4.61662e7i | −0.673300 | − | 0.769828i | ||||
\(89\) | −4.33966e7 | − | 7.51650e7i | −0.691664 | − | 1.19800i | −0.971292 | − | 0.237889i | \(-0.923545\pi\) |
0.279628 | − | 0.960108i | \(-0.409789\pi\) | |||||||
\(90\) | 3.33036e7 | + | 3.66238e6i | 0.507600 | + | 0.0558205i | ||||
\(91\) | 1.54004e7 | − | 6.61024e7i | 0.224577 | − | 0.963943i | ||||
\(92\) | −2.22399e6 | + | 9.98958e6i | −0.0310443 | + | 0.139443i | ||||
\(93\) | −1.66091e7 | − | 2.87678e7i | −0.222031 | − | 0.384570i | ||||
\(94\) | 9.98330e7 | + | 7.32691e7i | 1.27868 | + | 0.938447i | ||||
\(95\) | −9.11320e7 | − | 5.26151e7i | −1.11886 | − | 0.645975i | ||||
\(96\) | 4.90229e7 | + | 1.17914e6i | 0.577183 | + | 0.0138829i | ||||
\(97\) | −6.40442e7 | −0.723424 | −0.361712 | − | 0.932290i | \(-0.617808\pi\) | ||||
−0.361712 | + | 0.932290i | \(0.617808\pi\) | |||||||
\(98\) | −4.03130e6 | + | 9.21487e7i | −0.0437059 | + | 0.999044i | ||||
\(99\) | − | 3.27475e7i | − | 0.340908i | ||||||
\(100\) | −4.03892e7 | − | 1.28498e8i | −0.403892 | − | 1.28498i | ||||
\(101\) | −1.45874e7 | + | 2.52661e7i | −0.140182 | + | 0.242802i | −0.927565 | − | 0.373662i | \(-0.878102\pi\) |
0.787383 | + | 0.616464i | \(0.211435\pi\) | |||||||
\(102\) | −3.66333e7 | − | 2.68858e7i | −0.338435 | − | 0.248383i | ||||
\(103\) | −1.88269e7 | + | 1.08697e7i | −0.167274 | + | 0.0965758i | −0.581300 | − | 0.813689i | \(-0.697456\pi\) |
0.414026 | + | 0.910265i | \(0.364122\pi\) | |||||||
\(104\) | 1.09593e8 | + | 3.73655e7i | 0.936805 | + | 0.319402i | ||||
\(105\) | −1.04706e8 | − | 2.43942e7i | −0.861419 | − | 0.200691i | ||||
\(106\) | 1.54758e8 | + | 1.70186e7i | 1.22583 | + | 0.134804i | ||||
\(107\) | −2.49550e6 | + | 1.44078e6i | −0.0190381 | + | 0.0109916i | −0.509489 | − | 0.860477i | \(-0.670165\pi\) |
0.490451 | + | 0.871469i | \(0.336832\pi\) | |||||||
\(108\) | 1.92881e7 | + | 1.77059e7i | 0.141773 | + | 0.130144i | ||||
\(109\) | −4.66579e7 | + | 8.08139e7i | −0.330536 | + | 0.572506i | −0.982617 | − | 0.185644i | \(-0.940563\pi\) |
0.652081 | + | 0.758150i | \(0.273896\pi\) | |||||||
\(110\) | −2.10008e8 | + | 9.22941e7i | −1.43439 | + | 0.630381i | ||||
\(111\) | 3.87191e7i | 0.255055i | ||||||||
\(112\) | −1.55737e8 | − | 2.24891e7i | −0.989734 | − | 0.142922i | ||||
\(113\) | 252699. | 0.00154985 | 0.000774924 | − | 1.00000i | \(-0.499753\pi\) | ||||
0.000774924 | 1.00000i | \(0.499753\pi\) | ||||||||
\(114\) | −3.30859e7 | − | 7.52846e7i | −0.195895 | − | 0.445745i | ||||
\(115\) | 3.31494e7 | + | 1.91388e7i | 0.189533 | + | 0.109427i | ||||
\(116\) | 9.84562e7 | − | 1.07254e8i | 0.543765 | − | 0.592353i | ||||
\(117\) | 3.09116e7 | + | 5.35405e7i | 0.164960 | + | 0.285719i | ||||
\(118\) | 3.23695e7 | − | 2.94350e8i | 0.166958 | − | 1.51822i | ||||
\(119\) | 1.06441e8 | + | 9.96565e7i | 0.530786 | + | 0.496956i | ||||
\(120\) | 5.91869e7 | − | 1.73595e8i | 0.285431 | − | 0.837167i | ||||
\(121\) | 4.92675e6 | + | 8.53337e6i | 0.0229836 | + | 0.0398088i | ||||
\(122\) | 2.54741e8 | − | 3.47098e8i | 1.14990 | − | 1.56680i | ||||
\(123\) | −1.66230e8 | − | 9.59730e7i | −0.726255 | − | 0.419304i | ||||
\(124\) | −1.73474e8 | + | 5.45258e7i | −0.733748 | + | 0.230630i | ||||
\(125\) | −1.29769e8 | −0.531534 | ||||||||
\(126\) | −5.46861e7 | − | 6.37815e7i | −0.216968 | − | 0.253054i | ||||
\(127\) | − | 8.02470e7i | − | 0.308471i | −0.988034 | − | 0.154235i | \(-0.950709\pi\) | ||
0.988034 | − | 0.154235i | \(-0.0492914\pi\) | |||||||
\(128\) | 6.46176e7 | − | 2.60542e8i | 0.240719 | − | 0.970595i | ||||
\(129\) | −3.62545e7 | + | 6.27947e7i | −0.130919 | + | 0.226759i | ||||
\(130\) | 2.56233e8 | − | 3.49130e8i | 0.897142 | − | 1.22240i | ||||
\(131\) | 4.42232e8 | − | 2.55323e8i | 1.50164 | − | 0.866971i | 0.501639 | − | 0.865077i | \(-0.332731\pi\) |
0.999998 | − | 0.00189376i | \(-0.000602803\pi\) | |||||||
\(132\) | −1.74980e8 | − | 3.89561e7i | −0.576360 | − | 0.128316i | ||||
\(133\) | 7.66445e7 | + | 2.52500e8i | 0.244948 | + | 0.806964i | ||||
\(134\) | −3.80995e7 | + | 3.46455e8i | −0.118168 | + | 1.07455i | ||||
\(135\) | 8.48080e7 | − | 4.89639e7i | 0.255330 | − | 0.147415i | ||||
\(136\) | −1.87238e8 | + | 1.63760e8i | −0.547317 | + | 0.478689i | ||||
\(137\) | −2.05949e8 | + | 3.56713e8i | −0.584624 | + | 1.01260i | 0.410298 | + | 0.911951i | \(0.365425\pi\) |
−0.994922 | + | 0.100647i | \(0.967909\pi\) | |||||||
\(138\) | 1.20350e7 | + | 2.73849e7i | 0.0331842 | + | 0.0755082i | ||||
\(139\) | 4.05666e8i | 1.08670i | 0.839507 | + | 0.543349i | \(0.182844\pi\) | ||||
−0.839507 | + | 0.543349i | \(0.817156\pi\) | |||||||
\(140\) | −2.54903e8 | + | 5.30458e8i | −0.663533 | + | 1.38083i | ||||
\(141\) | 3.61948e8 | 0.915735 | ||||||||
\(142\) | 5.84817e8 | − | 2.57014e8i | 1.43836 | − | 0.632126i | ||||
\(143\) | −3.66575e8 | − | 2.11642e8i | −0.876635 | − | 0.506126i | ||||
\(144\) | 1.17553e8 | − | 8.19994e7i | 0.273392 | − | 0.190704i | ||||
\(145\) | −2.72270e8 | − | 4.71586e8i | −0.615925 | − | 1.06681i | ||||
\(146\) | 5.13512e8 | + | 5.64707e7i | 1.13016 | + | 0.124283i | ||||
\(147\) | 1.49858e8 | + | 2.24105e8i | 0.320931 | + | 0.479934i | ||||
\(148\) | 2.06888e8 | + | 4.60599e7i | 0.431211 | + | 0.0960010i | ||||
\(149\) | 1.91896e8 | + | 3.32374e8i | 0.389334 | + | 0.674346i | 0.992360 | − | 0.123376i | \(-0.0393720\pi\) |
−0.603026 | + | 0.797721i | \(0.706039\pi\) | |||||||
\(150\) | −3.17388e8 | − | 2.32937e8i | −0.626940 | − | 0.460122i | ||||
\(151\) | −7.47446e8 | − | 4.31538e8i | −1.43771 | − | 0.830064i | −0.440022 | − | 0.897987i | \(-0.645029\pi\) |
−0.997691 | + | 0.0679235i | \(0.978363\pi\) | |||||||
\(152\) | −4.41628e8 | + | 8.72307e7i | −0.827337 | + | 0.163416i | ||||
\(153\) | −1.32815e8 | −0.242372 | ||||||||
\(154\) | 5.42603e8 | + | 1.90977e8i | 0.964715 | + | 0.339546i | ||||
\(155\) | 6.80119e8i | 1.17831i | ||||||||
\(156\) | 3.22856e8 | − | 1.01479e8i | 0.545143 | − | 0.171348i | ||||
\(157\) | −1.85427e8 | + | 3.21170e8i | −0.305193 | + | 0.528611i | −0.977304 | − | 0.211840i | \(-0.932054\pi\) |
0.672111 | + | 0.740450i | \(0.265388\pi\) | |||||||
\(158\) | 1.22692e8 | + | 9.00460e7i | 0.196874 | + | 0.144489i | ||||
\(159\) | 3.94092e8 | − | 2.27529e8i | 0.616608 | − | 0.355999i | ||||
\(160\) | −8.57165e8 | − | 5.22761e8i | −1.30793 | − | 0.797670i | ||||
\(161\) | −2.78795e7 | − | 9.18471e7i | −0.0414937 | − | 0.136698i | ||||
\(162\) | 7.60689e7 | + | 8.36526e6i | 0.110445 | + | 0.0121456i | ||||
\(163\) | 9.59230e7 | − | 5.53812e7i | 0.135885 | − | 0.0784534i | −0.430516 | − | 0.902583i | \(-0.641668\pi\) |
0.566402 | + | 0.824129i | \(0.308335\pi\) | |||||||
\(164\) | −7.10560e8 | + | 7.74052e8i | −0.982257 | + | 1.07003i | ||||
\(165\) | −3.35241e8 | + | 5.80654e8i | −0.452294 | + | 0.783397i | ||||
\(166\) | 1.22830e9 | − | 5.39812e8i | 1.61761 | − | 0.710903i | ||||
\(167\) | 9.62354e8i | 1.23728i | 0.785674 | + | 0.618641i | \(0.212317\pi\) | ||||
−0.785674 | + | 0.618641i | \(0.787683\pi\) | |||||||
\(168\) | −4.05859e8 | + | 2.16332e8i | −0.509493 | + | 0.271571i | ||||
\(169\) | −1.66230e7 | −0.0203780 | ||||||||
\(170\) | 3.74321e8 | + | 8.51739e8i | 0.448175 | + | 1.01979i | ||||
\(171\) | −2.08155e8 | − | 1.20178e8i | −0.243446 | − | 0.140554i | ||||
\(172\) | 2.92404e8 | + | 2.68419e8i | 0.334094 | + | 0.306690i | ||||
\(173\) | 5.46539e7 | + | 9.46633e7i | 0.0610150 | + | 0.105681i | 0.894919 | − | 0.446228i | \(-0.147233\pi\) |
−0.833904 | + | 0.551909i | \(0.813900\pi\) | |||||||
\(174\) | 4.65161e7 | − | 4.22991e8i | 0.0507466 | − | 0.461460i | ||||
\(175\) | 9.22193e8 | + | 8.63416e8i | 0.983263 | + | 0.920594i | ||||
\(176\) | −4.16310e8 | + | 8.88634e8i | −0.433877 | + | 0.926131i | ||||
\(177\) | −4.32761e8 | − | 7.49564e8i | −0.440915 | − | 0.763687i | ||||
\(178\) | −8.21646e8 | + | 1.11953e9i | −0.818473 | + | 1.11521i | ||||
\(179\) | −3.19342e8 | − | 1.84372e8i | −0.311060 | − | 0.179590i | 0.336341 | − | 0.941740i | \(-0.390811\pi\) |
−0.647401 | + | 0.762150i | \(0.724144\pi\) | |||||||
\(180\) | −1.60743e8 | − | 5.11403e8i | −0.153124 | − | 0.487162i | ||||
\(181\) | −2.97346e8 | −0.277044 | −0.138522 | − | 0.990359i | \(-0.544235\pi\) | ||||
−0.138522 | + | 0.990359i | \(0.544235\pi\) | |||||||
\(182\) | −1.06740e9 | + | 1.99946e8i | −0.972838 | + | 0.182233i | ||||
\(183\) | − | 1.25842e9i | − | 1.12207i | ||||||
\(184\) | 1.60643e8 | − | 3.17303e7i | 0.140149 | − | 0.0276823i | ||||
\(185\) | 3.96373e8 | − | 6.86538e8i | 0.338389 | − | 0.586108i | ||||
\(186\) | −3.14467e8 | + | 4.28478e8i | −0.262739 | + | 0.357995i | ||||
\(187\) | 7.87517e8 | − | 4.54673e8i | 0.644012 | − | 0.371820i | ||||
\(188\) | 4.30570e8 | − | 1.93400e9i | 0.344677 | − | 1.54820i | ||||
\(189\) | −2.39160e8 | − | 5.57188e7i | −0.187431 | − | 0.0436671i | ||||
\(190\) | −1.84044e8 | + | 1.67359e9i | −0.141224 | + | 1.28421i | ||||
\(191\) | −1.04101e9 | + | 6.01029e8i | −0.782208 | + | 0.451608i | −0.837212 | − | 0.546878i | \(-0.815816\pi\) |
0.0550042 | + | 0.998486i | \(0.482483\pi\) | |||||||
\(192\) | −2.98308e8 | − | 7.25671e8i | −0.219513 | − | 0.533992i | ||||
\(193\) | 9.72389e8 | − | 1.68423e9i | 0.700827 | − | 1.21387i | −0.267349 | − | 0.963600i | \(-0.586148\pi\) |
0.968176 | − | 0.250269i | \(-0.0805190\pi\) | |||||||
\(194\) | 4.12279e8 | + | 9.38110e8i | 0.291061 | + | 0.662288i | ||||
\(195\) | − | 1.26578e9i | − | 0.875430i | ||||||
\(196\) | 1.37573e9 | − | 5.34149e8i | 0.932201 | − | 0.361941i | ||||
\(197\) | 1.87975e9 | 1.24806 | 0.624030 | − | 0.781401i | \(-0.285494\pi\) | ||||
0.624030 | + | 0.781401i | \(0.285494\pi\) | |||||||
\(198\) | −4.79681e8 | + | 2.10809e8i | −0.312099 | + | 0.137160i | ||||
\(199\) | −6.20820e8 | − | 3.58431e8i | −0.395871 | − | 0.228556i | 0.288830 | − | 0.957380i | \(-0.406734\pi\) |
−0.684701 | + | 0.728824i | \(0.740067\pi\) | |||||||
\(200\) | −1.62222e9 | + | 1.41881e9i | −1.01389 | + | 0.886755i | ||||
\(201\) | 5.09368e8 | + | 8.82252e8i | 0.312067 | + | 0.540516i | ||||
\(202\) | 4.64000e8 | + | 5.10258e7i | 0.278684 | + | 0.0306467i | ||||
\(203\) | −3.09832e8 | + | 1.32988e9i | −0.182449 | + | 0.783119i | ||||
\(204\) | −1.57996e8 | + | 7.09675e8i | −0.0912274 | + | 0.409769i | ||||
\(205\) | 1.96498e9 | + | 3.40344e9i | 1.11261 | + | 1.92709i | ||||
\(206\) | 2.80414e8 | + | 2.05801e8i | 0.155715 | + | 0.114282i | ||||
\(207\) | 7.57166e7 | + | 4.37150e7i | 0.0412392 | + | 0.0238094i | ||||
\(208\) | −1.58170e8 | − | 1.84584e9i | −0.0845027 | − | 0.986145i | ||||
\(209\) | 1.64565e9 | 0.862486 | ||||||||
\(210\) | 3.16713e8 | + | 1.69075e9i | 0.162850 | + | 0.869367i | ||||
\(211\) | 1.96605e8i | 0.0991892i | 0.998769 | + | 0.0495946i | \(0.0157929\pi\) | ||||
−0.998769 | + | 0.0495946i | \(0.984207\pi\) | |||||||
\(212\) | −7.46953e8 | − | 2.37643e9i | −0.369785 | − | 1.17647i | ||||
\(213\) | 9.33556e8 | − | 1.61697e9i | 0.453547 | − | 0.785566i | ||||
\(214\) | 3.71689e7 | + | 2.72789e7i | 0.0177225 | + | 0.0130068i | ||||
\(215\) | 1.28567e9 | − | 7.42285e8i | 0.601696 | − | 0.347389i | ||||
\(216\) | 1.35189e8 | − | 3.96509e8i | 0.0621050 | − | 0.182154i | ||||
\(217\) | 1.16562e9 | − | 1.24497e9i | 0.525677 | − | 0.561462i | ||||
\(218\) | 1.48411e9 | + | 1.63206e8i | 0.657112 | + | 0.0722622i | ||||
\(219\) | 1.30766e9 | − | 7.54980e8i | 0.568486 | − | 0.328216i | ||||
\(220\) | 2.70382e9 | + | 2.48204e9i | 1.15422 | + | 1.05954i | ||||
\(221\) | −8.58366e8 | + | 1.48673e9i | −0.359835 | + | 0.623252i | ||||
\(222\) | 5.67152e8 | − | 2.49251e8i | 0.233500 | − | 0.102618i | ||||
\(223\) | − | 1.63762e9i | − | 0.662208i | −0.943594 | − | 0.331104i | \(-0.892579\pi\) | ||
0.943594 | − | 0.331104i | \(-0.107421\pi\) | |||||||
\(224\) | 6.73123e8 | + | 2.42598e9i | 0.267364 | + | 0.963596i | ||||
\(225\) | −1.15070e9 | −0.448986 | ||||||||
\(226\) | −1.62672e6 | − | 3.70149e6i | −0.000623563 | − | 0.00141887i | ||||
\(227\) | 8.40197e8 | + | 4.85088e8i | 0.316430 | + | 0.182691i | 0.649800 | − | 0.760105i | \(-0.274853\pi\) |
−0.333370 | + | 0.942796i | \(0.608186\pi\) | |||||||
\(228\) | −8.89770e8 | + | 9.69275e8i | −0.329260 | + | 0.358680i | ||||
\(229\) | −5.72419e8 | − | 9.91459e8i | −0.208148 | − | 0.360523i | 0.742983 | − | 0.669310i | \(-0.233410\pi\) |
−0.951131 | + | 0.308787i | \(0.900077\pi\) | |||||||
\(230\) | 6.69463e7 | − | 6.08772e8i | 0.0239230 | − | 0.217542i | ||||
\(231\) | 1.60882e9 | − | 4.88346e8i | 0.565014 | − | 0.171506i | ||||
\(232\) | −2.20484e9 | − | 7.51737e8i | −0.761071 | − | 0.259486i | ||||
\(233\) | −1.60238e9 | − | 2.77541e9i | −0.543679 | − | 0.941679i | −0.998689 | − | 0.0511929i | \(-0.983698\pi\) |
0.455010 | − | 0.890486i | \(-0.349636\pi\) | |||||||
\(234\) | 5.85262e8 | − | 7.97451e8i | 0.195203 | − | 0.265975i | ||||
\(235\) | −6.41779e9 | − | 3.70531e9i | −2.10433 | − | 1.21494i | ||||
\(236\) | −4.51997e9 | + | 1.42071e9i | −1.45709 | + | 0.457990i | ||||
\(237\) | 4.44826e8 | 0.140993 | ||||||||
\(238\) | 7.74553e8 | − | 2.20066e9i | 0.241403 | − | 0.685874i | ||||
\(239\) | 5.62748e9i | 1.72474i | 0.506283 | + | 0.862368i | \(0.331019\pi\) | ||||
−0.506283 | + | 0.862368i | \(0.668981\pi\) | |||||||
\(240\) | −2.92381e9 | + | 2.50541e8i | −0.881259 | + | 0.0755151i | ||||
\(241\) | 2.36309e9 | − | 4.09299e9i | 0.700506 | − | 1.21331i | −0.267783 | − | 0.963479i | \(-0.586291\pi\) |
0.968289 | − | 0.249833i | \(-0.0803756\pi\) | |||||||
\(242\) | 9.32802e7 | − | 1.27099e8i | 0.0271974 | − | 0.0370579i | ||||
\(243\) | 1.93710e8 | − | 1.11839e8i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −6.72412e9 | − | 1.49700e9i | −1.89704 | − | 0.422340i | ||||
\(245\) | −3.62988e8 | − | 5.50777e9i | −0.100746 | − | 1.52866i | ||||
\(246\) | −3.35707e8 | + | 3.05273e9i | −0.0916686 | + | 0.833582i | ||||
\(247\) | −2.69055e9 | + | 1.55339e9i | −0.722858 | + | 0.417342i | ||||
\(248\) | 1.91541e9 | + | 2.19001e9i | 0.506354 | + | 0.578948i | ||||
\(249\) | 1.96077e9 | − | 3.39615e9i | 0.510068 | − | 0.883464i | ||||
\(250\) | 8.35376e8 | + | 1.90084e9i | 0.213856 | + | 0.486615i | ||||
\(251\) | − | 6.85367e9i | − | 1.72674i | −0.504567 | − | 0.863372i | \(-0.668348\pi\) | ||
0.504567 | − | 0.863372i | \(-0.331652\pi\) | |||||||
\(252\) | −5.82225e8 | + | 1.21162e9i | −0.144374 | + | 0.300445i | ||||
\(253\) | −5.98607e8 | −0.146103 | ||||||||
\(254\) | −1.17545e9 | + | 5.16583e8i | −0.282402 | + | 0.124110i | ||||
\(255\) | 2.35498e9 | + | 1.35965e9i | 0.556964 | + | 0.321563i | ||||
\(256\) | −4.23235e9 | + | 7.30706e8i | −0.985421 | + | 0.170131i | ||||
\(257\) | −1.44670e9 | − | 2.50576e9i | −0.331624 | − | 0.574389i | 0.651207 | − | 0.758901i | \(-0.274263\pi\) |
−0.982830 | + | 0.184511i | \(0.940930\pi\) | |||||||
\(258\) | 1.15319e9 | + | 1.26816e8i | 0.260269 | + | 0.0286217i | ||||
\(259\) | −1.90219e9 | + | 5.77397e8i | −0.422722 | + | 0.128314i | ||||
\(260\) | −6.76349e9 | − | 1.50576e9i | −1.48005 | − | 0.329506i | ||||
\(261\) | −6.21894e8 | − | 1.07715e9i | −0.134015 | − | 0.232121i | ||||
\(262\) | −6.58676e9 | − | 4.83414e9i | −1.39787 | − | 1.02592i | ||||
\(263\) | 6.09892e9 | + | 3.52121e9i | 1.27476 | + | 0.735985i | 0.975881 | − | 0.218305i | \(-0.0700526\pi\) |
0.298883 | + | 0.954290i | \(0.403386\pi\) | |||||||
\(264\) | 5.55797e8 | + | 2.81387e9i | 0.114420 | + | 0.579279i | ||||
\(265\) | −9.31699e9 | −1.88926 | ||||||||
\(266\) | 3.20519e9 | − | 2.74812e9i | 0.640216 | − | 0.548920i | ||||
\(267\) | 4.05891e9i | 0.798665i | ||||||||
\(268\) | 5.32009e9 | − | 1.67220e9i | 1.03129 | − | 0.324152i | ||||
\(269\) | 1.99022e9 | − | 3.44716e9i | 0.380095 | − | 0.658343i | −0.610981 | − | 0.791645i | \(-0.709225\pi\) |
0.991075 | + | 0.133302i | \(0.0425581\pi\) | |||||||
\(270\) | −1.26316e9 | − | 9.27054e8i | −0.237686 | − | 0.174442i | ||||
\(271\) | −8.79901e9 | + | 5.08011e9i | −1.63139 | + | 0.941881i | −0.647720 | + | 0.761878i | \(0.724277\pi\) |
−0.983666 | + | 0.180003i | \(0.942389\pi\) | |||||||
\(272\) | 3.60407e9 | + | 1.68844e9i | 0.658442 | + | 0.308469i | ||||
\(273\) | −2.16937e9 | + | 2.31704e9i | −0.390555 | + | 0.417142i | ||||
\(274\) | 6.55086e9 | + | 7.20395e8i | 1.16224 | + | 0.127811i | ||||
\(275\) | 6.82299e9 | − | 3.93926e9i | 1.19301 | − | 0.688785i | ||||
\(276\) | 3.23655e8 | − | 3.52575e8i | 0.0557758 | − | 0.0607597i | ||||
\(277\) | 2.47678e9 | − | 4.28991e9i | 0.420696 | − | 0.728666i | −0.575312 | − | 0.817934i | \(-0.695119\pi\) |
0.996008 | + | 0.0892678i | \(0.0284527\pi\) | |||||||
\(278\) | 5.94214e9 | − | 2.61144e9i | 0.994863 | − | 0.437220i | ||||
\(279\) | 1.55346e9i | 0.256380i | ||||||||
\(280\) | 9.41099e9 | + | 3.19005e8i | 1.53110 | + | 0.0518997i | ||||
\(281\) | 6.67209e9 | 1.07013 | 0.535065 | − | 0.844811i | \(-0.320287\pi\) | ||||
0.535065 | + | 0.844811i | \(0.320287\pi\) | |||||||
\(282\) | −2.33001e9 | − | 5.30176e9i | −0.368435 | − | 0.838347i | ||||
\(283\) | −8.06764e9 | − | 4.65786e9i | −1.25777 | − | 0.726173i | −0.285129 | − | 0.958489i | \(-0.592036\pi\) |
−0.972640 | + | 0.232316i | \(0.925370\pi\) | |||||||
\(284\) | −7.52942e9 | − | 6.91181e9i | −1.15741 | − | 1.06247i | ||||
\(285\) | 2.46056e9 | + | 4.26182e9i | 0.372954 | + | 0.645975i | ||||
\(286\) | −7.40311e8 | + | 6.73197e9i | −0.110650 | + | 1.00619i | ||||
\(287\) | 2.23606e9 | − | 9.59774e9i | 0.329576 | − | 1.41463i | ||||
\(288\) | −1.95785e9 | − | 1.19404e9i | −0.284584 | − | 0.173560i | ||||
\(289\) | 1.64384e9 | + | 2.84722e9i | 0.235651 | + | 0.408159i | ||||
\(290\) | −5.15501e9 | + | 7.02397e9i | −0.728848 | + | 0.993094i | ||||
\(291\) | 2.59379e9 | + | 1.49753e9i | 0.361712 | + | 0.208834i | ||||
\(292\) | −2.47851e9 | − | 7.88538e9i | −0.340926 | − | 1.08465i | ||||
\(293\) | 1.06940e9 | 0.145100 | 0.0725502 | − | 0.997365i | \(-0.476886\pi\) | ||||
0.0725502 | + | 0.997365i | \(0.476886\pi\) | |||||||
\(294\) | 2.31795e9 | − | 3.63776e9i | 0.310252 | − | 0.486905i | ||||
\(295\) | 1.77209e10i | 2.33991i | ||||||||
\(296\) | −6.57148e8 | − | 3.32698e9i | −0.0856044 | − | 0.433394i | ||||
\(297\) | −7.65725e8 | + | 1.32628e9i | −0.0984118 | + | 0.170454i | ||||
\(298\) | 3.63326e9 | − | 4.95050e9i | 0.460714 | − | 0.627746i | ||||
\(299\) | 9.78690e8 | − | 5.65047e8i | 0.122450 | − | 0.0706968i | ||||
\(300\) | −1.36886e9 | + | 6.14857e9i | −0.168996 | + | 0.759083i | ||||
\(301\) | −3.62562e9 | − | 8.44688e8i | −0.441689 | − | 0.102904i | ||||
\(302\) | −1.50949e9 | + | 1.37265e10i | −0.181469 | + | 1.65018i | ||||
\(303\) | 1.18158e9 | − | 6.82185e8i | 0.140182 | − | 0.0809341i | ||||
\(304\) | 4.12068e9 | + | 5.90736e9i | 0.482475 | + | 0.691671i | ||||
\(305\) | −1.28826e10 | + | 2.23133e10i | −1.48869 | + | 2.57848i | ||||
\(306\) | 8.54987e8 | + | 1.94546e9i | 0.0975156 | + | 0.221890i | ||||
\(307\) | 5.95066e8i | 0.0669902i | 0.999439 | + | 0.0334951i | \(0.0106638\pi\) | ||||
−0.999439 | + | 0.0334951i | \(0.989336\pi\) | |||||||
\(308\) | −6.95552e8 | − | 9.17737e9i | −0.0772907 | − | 1.01980i | ||||
\(309\) | 1.01665e9 | 0.111516 | ||||||||
\(310\) | 9.96228e9 | − | 4.37820e9i | 1.07873 | − | 0.474077i | ||||
\(311\) | −8.86178e9 | − | 5.11635e9i | −0.947283 | − | 0.546914i | −0.0550469 | − | 0.998484i | \(-0.517531\pi\) |
−0.892236 | + | 0.451570i | \(0.850864\pi\) | |||||||
\(312\) | −3.56481e9 | − | 4.07588e9i | −0.376199 | − | 0.430133i | ||||
\(313\) | 8.53211e9 | + | 1.47780e10i | 0.888953 | + | 1.53971i | 0.841115 | + | 0.540857i | \(0.181900\pi\) |
0.0478385 | + | 0.998855i | \(0.484767\pi\) | |||||||
\(314\) | 5.89812e9 | + | 6.48613e8i | 0.606729 | + | 0.0667217i | ||||
\(315\) | 3.67019e9 | + | 3.43627e9i | 0.372775 | + | 0.349016i | ||||
\(316\) | 5.29160e8 | − | 2.37684e9i | 0.0530687 | − | 0.238370i | ||||
\(317\) | −1.66609e9 | − | 2.88576e9i | −0.164992 | − | 0.285774i | 0.771661 | − | 0.636034i | \(-0.219426\pi\) |
−0.936652 | + | 0.350261i | \(0.886093\pi\) | |||||||
\(318\) | −5.86975e9 | − | 4.30791e9i | −0.573999 | − | 0.421267i | ||||
\(319\) | 7.37493e9 | + | 4.25792e9i | 0.712188 | + | 0.411182i | ||||
\(320\) | −2.13941e9 | + | 1.59209e10i | −0.204030 | + | 1.51833i | ||||
\(321\) | 1.34757e8 | 0.0126920 | ||||||||
\(322\) | −1.16589e9 | + | 9.99633e8i | −0.108451 | + | 0.0929859i | ||||
\(323\) | − | 6.67432e9i | − | 0.613193i | ||||||
\(324\) | −3.67154e8 | − | 1.16810e9i | −0.0333172 | − | 0.105998i | ||||
\(325\) | −7.43682e9 | + | 1.28809e10i | −0.666582 | + | 1.15455i | ||||
\(326\) | −1.42871e9 | − | 1.04856e9i | −0.126495 | − | 0.0928370i | ||||
\(327\) | 3.77929e9 | − | 2.18197e9i | 0.330536 | − | 0.190835i | ||||
\(328\) | 1.59124e10 | + | 5.42529e9i | 1.37480 | + | 0.468735i | ||||
\(329\) | 5.39754e9 | + | 1.77818e10i | 0.460693 | + | 1.51772i | ||||
\(330\) | 1.06634e10 | + | 1.17265e9i | 0.899168 | + | 0.0988811i | ||||
\(331\) | 1.07598e10 | − | 6.21216e9i | 0.896378 | − | 0.517524i | 0.0203544 | − | 0.999793i | \(-0.493521\pi\) |
0.876023 | + | 0.482269i | \(0.160187\pi\) | |||||||
\(332\) | −1.58142e10 | − | 1.45170e10i | −1.30165 | − | 1.19488i | ||||
\(333\) | 9.05357e8 | − | 1.56812e9i | 0.0736280 | − | 0.127527i | ||||
\(334\) | 1.40964e10 | − | 6.19507e9i | 1.13272 | − | 0.497806i | ||||
\(335\) | − | 2.08579e10i | − | 1.65612i | ||||||
\(336\) | 5.78147e9 | + | 4.55235e9i | 0.453609 | + | 0.357173i | ||||
\(337\) | 1.33198e10 | 1.03271 | 0.516354 | − | 0.856375i | \(-0.327289\pi\) | ||||
0.516354 | + | 0.856375i | \(0.327289\pi\) | |||||||
\(338\) | 1.07009e8 | + | 2.43491e8i | 0.00819886 | + | 0.0186559i | ||||
\(339\) | −1.02343e7 | − | 5.90877e6i | −0.000774924 | − | 0.000447403i | ||||
\(340\) | 1.00665e10 | − | 1.09660e10i | 0.753291 | − | 0.820601i | ||||
\(341\) | −5.31804e9 | − | 9.21112e9i | −0.393309 | − | 0.681232i | ||||
\(342\) | −4.20376e8 | + | 3.82266e9i | −0.0307280 | + | 0.279423i | ||||
\(343\) | −8.77505e9 | + | 1.07042e10i | −0.633976 | + | 0.773353i | ||||
\(344\) | 2.04944e9 | − | 6.01101e9i | 0.146353 | − | 0.429254i | ||||
\(345\) | −8.95033e8 | − | 1.55024e9i | −0.0631775 | − | 0.109427i | ||||
\(346\) | 1.03478e9 | − | 1.40995e9i | 0.0722014 | − | 0.0983782i | ||||
\(347\) | 9.05134e9 | + | 5.22580e9i | 0.624303 | + | 0.360441i | 0.778542 | − | 0.627592i | \(-0.215959\pi\) |
−0.154240 | + | 0.988033i | \(0.549293\pi\) | |||||||
\(348\) | −6.49536e9 | + | 2.04161e9i | −0.442880 | + | 0.139205i | ||||
\(349\) | −1.06701e9 | −0.0719226 | −0.0359613 | − | 0.999353i | \(-0.511449\pi\) | ||||
−0.0359613 | + | 0.999353i | \(0.511449\pi\) | |||||||
\(350\) | 6.71067e9 | − | 1.90663e10i | 0.447192 | − | 1.27056i | ||||
\(351\) | − | 2.89118e9i | − | 0.190479i | ||||||
\(352\) | 1.56965e10 | + | 3.77547e8i | 1.02243 | + | 0.0245924i | ||||
\(353\) | 1.22662e9 | − | 2.12456e9i | 0.0789969 | − | 0.136827i | −0.823820 | − | 0.566851i | \(-0.808162\pi\) |
0.902817 | + | 0.430024i | \(0.141495\pi\) | |||||||
\(354\) | −8.19365e9 | + | 1.11643e10i | −0.521752 | + | 0.710914i | ||||
\(355\) | −3.31062e10 | + | 1.91139e10i | −2.08447 | + | 1.20347i | ||||
\(356\) | 2.16881e10 | + | 4.82844e9i | 1.35027 | + | 0.300612i | ||||
\(357\) | −1.98060e9 | − | 6.52495e9i | −0.121934 | − | 0.401703i | ||||
\(358\) | −6.44922e8 | + | 5.86455e9i | −0.0392623 | + | 0.357029i | ||||
\(359\) | 2.84833e10 | − | 1.64448e10i | 1.71480 | − | 0.990037i | 0.786995 | − | 0.616959i | \(-0.211636\pi\) |
0.927800 | − | 0.373078i | \(-0.121698\pi\) | |||||||
\(360\) | −6.45619e9 | + | 5.64665e9i | −0.384385 | + | 0.336187i | ||||
\(361\) | −2.45251e9 | + | 4.24786e9i | −0.144405 | + | 0.250116i | ||||
\(362\) | 1.91414e9 | + | 4.35548e9i | 0.111465 | + | 0.253631i | ||||
\(363\) | − | 4.60802e8i | − | 0.0265392i | ||||||
\(364\) | 9.80005e9 | + | 1.43479e10i | 0.558242 | + | 0.817305i | ||||
\(365\) | −3.09153e10 | −1.74182 | ||||||||
\(366\) | −1.84331e10 | + | 8.10094e9i | −1.02725 | + | 0.451452i | ||||
\(367\) | −1.43041e10 | − | 8.25847e9i | −0.788490 | − | 0.455235i | 0.0509407 | − | 0.998702i | \(-0.483778\pi\) |
−0.839431 | + | 0.543467i | \(0.817111\pi\) | |||||||
\(368\) | −1.49890e9 | − | 2.14881e9i | −0.0817302 | − | 0.117167i | ||||
\(369\) | 4.48821e9 | + | 7.77381e9i | 0.242085 | + | 0.419304i | ||||
\(370\) | −1.26079e10 | − | 1.38649e9i | −0.672723 | − | 0.0739791i | ||||
\(371\) | 1.70549e10 | + | 1.59679e10i | 0.900232 | + | 0.842855i | ||||
\(372\) | 8.30064e9 | + | 1.84798e9i | 0.433451 | + | 0.0964998i | ||||
\(373\) | 3.02488e9 | + | 5.23925e9i | 0.156269 | + | 0.270666i | 0.933520 | − | 0.358524i | \(-0.116720\pi\) |
−0.777251 | + | 0.629190i | \(0.783387\pi\) | |||||||
\(374\) | −1.17296e10 | − | 8.60852e9i | −0.599509 | − | 0.439989i | ||||
\(375\) | 5.25564e9 | + | 3.03435e9i | 0.265767 | + | 0.153441i | ||||
\(376\) | −3.11008e10 | + | 6.14305e9i | −1.55604 | + | 0.307349i | ||||
\(377\) | −1.60768e10 | −0.795856 | ||||||||
\(378\) | 7.23406e8 | + | 3.86186e9i | 0.0354336 | + | 0.189160i | ||||
\(379\) | − | 1.44791e10i | − | 0.701752i | −0.936422 | − | 0.350876i | \(-0.885884\pi\) | ||
0.936422 | − | 0.350876i | \(-0.114116\pi\) | |||||||
\(380\) | 2.56993e10 | − | 8.07775e9i | 1.23250 | − | 0.387397i | ||||
\(381\) | −1.87639e9 | + | 3.25000e9i | −0.0890479 | + | 0.154235i | ||||
\(382\) | 1.55052e10 | + | 1.13795e10i | 0.728155 | + | 0.534405i | ||||
\(383\) | −1.80293e10 | + | 1.04092e10i | −0.837881 | + | 0.483751i | −0.856544 | − | 0.516075i | \(-0.827393\pi\) |
0.0186621 | + | 0.999826i | \(0.494059\pi\) | |||||||
\(384\) | −8.70919e9 | + | 9.04102e9i | −0.400546 | + | 0.415808i | ||||
\(385\) | −3.35256e10 | − | 7.81073e9i | −1.52593 | − | 0.355507i | ||||
\(386\) | −3.09300e10 | − | 3.40136e9i | −1.39326 | − | 0.153216i | ||||
\(387\) | 2.93662e9 | − | 1.69546e9i | 0.130919 | − | 0.0755862i | ||||
\(388\) | 1.10873e10 | − | 1.20780e10i | 0.489214 | − | 0.532928i | ||||
\(389\) | 2.39907e9 | − | 4.15530e9i | 0.104772 | − | 0.181470i | −0.808873 | − | 0.587983i | \(-0.799922\pi\) |
0.913645 | + | 0.406513i | \(0.133256\pi\) | |||||||
\(390\) | −1.85410e10 | + | 8.14837e9i | −0.801448 | + | 0.352219i | ||||
\(391\) | 2.42779e9i | 0.103873i | ||||||||
\(392\) | −1.66803e10 | − | 1.67130e10i | −0.706414 | − | 0.707799i | ||||
\(393\) | −2.38805e10 | −1.00109 | ||||||||
\(394\) | −1.21007e10 | − | 2.75343e10i | −0.502142 | − | 1.14259i | ||||
\(395\) | −7.88731e9 | − | 4.55374e9i | −0.323997 | − | 0.187060i | ||||
\(396\) | 6.17581e9 | + | 5.66924e9i | 0.251138 | + | 0.230539i | ||||
\(397\) | −6.28908e9 | − | 1.08930e10i | −0.253177 | − | 0.438516i | 0.711222 | − | 0.702968i | \(-0.248142\pi\) |
−0.964399 | + | 0.264452i | \(0.914809\pi\) | |||||||
\(398\) | −1.25377e9 | + | 1.14010e10i | −0.0499672 | + | 0.454373i | ||||
\(399\) | 2.80002e9 | − | 1.20184e10i | 0.110476 | − | 0.474193i | ||||
\(400\) | 3.12254e10 | + | 1.46286e10i | 1.21974 | + | 0.571428i | ||||
\(401\) | 1.37187e10 | + | 2.37615e10i | 0.530562 | + | 0.918960i | 0.999364 | + | 0.0356568i | \(0.0113523\pi\) |
−0.468802 | + | 0.883303i | \(0.655314\pi\) | |||||||
\(402\) | 9.64409e9 | − | 1.31406e10i | 0.369281 | − | 0.503165i | ||||
\(403\) | 1.73894e10 | + | 1.00398e10i | 0.659273 | + | 0.380631i | ||||
\(404\) | −2.23954e9 | − | 7.12507e9i | −0.0840684 | − | 0.267463i | ||||
\(405\) | −4.57963e9 | −0.170220 | ||||||||
\(406\) | 2.14744e10 | − | 4.02260e9i | 0.790344 | − | 0.148048i | ||||
\(407\) | 1.23974e10i | 0.451807i | ||||||||
\(408\) | 1.14123e10 | − | 2.25417e9i | 0.411844 | − | 0.0813477i | ||||
\(409\) | −2.40410e10 | + | 4.16402e10i | −0.859130 | + | 1.48806i | 0.0136302 | + | 0.999907i | \(0.495661\pi\) |
−0.872760 | + | 0.488149i | \(0.837672\pi\) | |||||||
\(410\) | 3.72037e10 | − | 5.06920e10i | 1.31659 | − | 1.79392i | ||||
\(411\) | 1.66818e10 | − | 9.63126e9i | 0.584624 | − | 0.337533i | ||||
\(412\) | 1.20940e9 | − | 5.43229e9i | 0.0419740 | − | 0.188536i | ||||
\(413\) | 3.03710e10 | − | 3.24385e10i | 1.04390 | − | 1.11496i | ||||
\(414\) | 1.52912e8 | − | 1.39050e9i | 0.00520525 | − | 0.0473336i | ||||
\(415\) | −6.95336e10 | + | 4.01452e10i | −2.34424 | + | 1.35345i | ||||
\(416\) | −2.60194e10 | + | 1.41993e10i | −0.868808 | + | 0.474125i | ||||
\(417\) | 9.48556e9 | − | 1.64295e10i | 0.313703 | − | 0.543349i | ||||
\(418\) | −1.05937e10 | − | 2.41052e10i | −0.347011 | − | 0.789598i | ||||
\(419\) | 1.09610e9i | 0.0355628i | 0.999842 | + | 0.0177814i | \(0.00566029\pi\) | ||||
−0.999842 | + | 0.0177814i | \(0.994340\pi\) | |||||||
\(420\) | 2.27271e10 | − | 1.55232e10i | 0.730377 | − | 0.498868i | ||||
\(421\) | 2.76582e10 | 0.880432 | 0.440216 | − | 0.897892i | \(-0.354902\pi\) | ||||
0.440216 | + | 0.897892i | \(0.354902\pi\) | |||||||
\(422\) | 2.87984e9 | − | 1.26563e9i | 0.0908068 | − | 0.0399076i | ||||
\(423\) | −1.46589e10 | − | 8.46332e9i | −0.457868 | − | 0.264350i | ||||
\(424\) | −3.00011e10 | + | 2.62393e10i | −0.928269 | + | 0.811874i | ||||
\(425\) | −1.59766e10 | − | 2.76723e10i | −0.489698 | − | 0.848182i | ||||
\(426\) | −2.96948e10 | − | 3.26552e9i | −0.901658 | − | 0.0991548i | ||||
\(427\) | 6.18235e10 | − | 1.87661e10i | 1.85970 | − | 0.564498i | ||||
\(428\) | 1.60306e8 | − | 7.20050e8i | 0.00477721 | − | 0.0214579i | ||||
\(429\) | 9.89753e9 | + | 1.71430e10i | 0.292212 | + | 0.506126i | ||||
\(430\) | −1.91493e10 | − | 1.40540e10i | −0.560117 | − | 0.411079i | ||||
\(431\) | 1.13814e10 | + | 6.57103e9i | 0.329826 | + | 0.190425i | 0.655764 | − | 0.754966i | \(-0.272347\pi\) |
−0.325938 | + | 0.945391i | \(0.605680\pi\) | |||||||
\(432\) | −6.67828e9 | + | 5.72262e8i | −0.191747 | + | 0.0164308i | ||||
\(433\) | 4.75778e10 | 1.35348 | 0.676741 | − | 0.736221i | \(-0.263392\pi\) | ||||
0.676741 | + | 0.736221i | \(0.263392\pi\) | |||||||
\(434\) | −2.57397e10 | − | 9.05948e9i | −0.725513 | − | 0.255355i | ||||
\(435\) | 2.54656e10i | 0.711209i | ||||||||
\(436\) | −7.16318e9 | − | 2.27896e10i | −0.198226 | − | 0.630654i | ||||
\(437\) | −2.19679e9 | + | 3.80496e9i | −0.0602370 | + | 0.104334i | ||||
\(438\) | −1.94768e10 | − | 1.42944e10i | −0.529202 | − | 0.388390i | ||||
\(439\) | 1.78530e10 | − | 1.03074e10i | 0.480676 | − | 0.277518i | −0.240022 | − | 0.970767i | \(-0.577155\pi\) |
0.720698 | + | 0.693249i | \(0.243821\pi\) | |||||||
\(440\) | 1.89510e10 | − | 5.55831e10i | 0.505615 | − | 1.48297i | ||||
\(441\) | −8.29103e8 | − | 1.25803e10i | −0.0219207 | − | 0.332612i | ||||
\(442\) | 2.73031e10 | + | 3.00251e9i | 0.715357 | + | 0.0786675i | ||||
\(443\) | −5.31200e10 | + | 3.06689e10i | −1.37925 | + | 0.796311i | −0.992069 | − | 0.125693i | \(-0.959885\pi\) |
−0.387181 | + | 0.922004i | \(0.626551\pi\) | |||||||
\(444\) | −7.30198e9 | − | 6.70303e9i | −0.187892 | − | 0.172480i | ||||
\(445\) | 4.15516e10 | − | 7.19695e10i | 1.05961 | − | 1.83531i | ||||
\(446\) | −2.39877e10 | + | 1.05421e10i | −0.606246 | + | 0.266432i | ||||
\(447\) | − | 1.79482e10i | − | 0.449564i | ||||||
\(448\) | 3.12022e10 | − | 2.54768e10i | 0.774593 | − | 0.632460i | ||||
\(449\) | 5.61323e10 | 1.38111 | 0.690554 | − | 0.723281i | \(-0.257367\pi\) | ||||
0.690554 | + | 0.723281i | \(0.257367\pi\) | |||||||
\(450\) | 7.40755e9 | + | 1.68553e10i | 0.180644 | + | 0.411043i | ||||
\(451\) | −5.32249e10 | − | 3.07294e10i | −1.28650 | − | 0.742759i | ||||
\(452\) | −4.37471e7 | + | 4.76561e7i | −0.00104808 | + | 0.00114173i | ||||
\(453\) | 2.01810e10 | + | 3.49546e10i | 0.479237 | + | 0.830064i | ||||
\(454\) | 1.69681e9 | − | 1.54298e10i | 0.0399401 | − | 0.363193i | ||||
\(455\) | 6.21854e10 | − | 1.88760e10i | 1.45092 | − | 0.440416i | ||||
\(456\) | 1.99256e10 | + | 6.79360e9i | 0.460842 | + | 0.157123i | ||||
\(457\) | −3.72866e10 | − | 6.45823e10i | −0.854846 | − | 1.48064i | −0.876787 | − | 0.480878i | \(-0.840318\pi\) |
0.0219409 | − | 0.999759i | \(-0.493015\pi\) | |||||||
\(458\) | −1.08379e10 | + | 1.47671e10i | −0.246310 | + | 0.335610i | ||||
\(459\) | 5.37902e9 | + | 3.10558e9i | 0.121186 | + | 0.0699668i | ||||
\(460\) | −9.34816e9 | + | 2.93829e9i | −0.208783 | + | 0.0656242i | ||||
\(461\) | −2.00718e10 | −0.444408 | −0.222204 | − | 0.975000i | \(-0.571325\pi\) | ||||
−0.222204 | + | 0.975000i | \(0.571325\pi\) | |||||||
\(462\) | −1.75099e10 | − | 2.04221e10i | −0.384339 | − | 0.448262i | ||||
\(463\) | 5.84148e10i | 1.27116i | 0.772037 | + | 0.635578i | \(0.219238\pi\) | ||||
−0.772037 | + | 0.635578i | \(0.780762\pi\) | |||||||
\(464\) | 3.18214e9 | + | 3.71354e10i | 0.0686510 | + | 0.801155i | ||||
\(465\) | 1.59030e10 | − | 2.75448e10i | 0.340148 | − | 0.589153i | ||||
\(466\) | −3.03386e10 | + | 4.13379e10i | −0.643356 | + | 0.876606i | ||||
\(467\) | −4.98357e9 | + | 2.87727e9i | −0.104779 | + | 0.0604940i | −0.551474 | − | 0.834192i | \(-0.685934\pi\) |
0.446695 | + | 0.894686i | \(0.352601\pi\) | |||||||
\(468\) | −1.54485e10 | − | 3.43932e9i | −0.322035 | − | 0.0716951i | ||||
\(469\) | −3.57473e10 | + | 3.81808e10i | −0.738843 | + | 0.789139i | ||||
\(470\) | −1.29609e10 | + | 1.17859e11i | −0.265610 | + | 2.41531i | ||||
\(471\) | 1.50196e10 | − | 8.67158e9i | 0.305193 | − | 0.176204i | ||||
\(472\) | 4.99072e10 | + | 5.70622e10i | 1.00553 | + | 1.14969i | ||||
\(473\) | −1.16083e10 | + | 2.01061e10i | −0.231912 | + | 0.401683i | ||||
\(474\) | −2.86352e9 | − | 6.51574e9i | −0.0567267 | − | 0.129078i | ||||
\(475\) | − | 5.78258e10i | − | 1.13592i | ||||||
\(476\) | −3.72210e10 | + | 2.82098e9i | −0.725037 | + | 0.0549505i | ||||
\(477\) | −2.12810e10 | −0.411072 | ||||||||
\(478\) | 8.24305e10 | − | 3.62264e10i | 1.57898 | − | 0.693927i | ||||
\(479\) | −1.51818e10 | − | 8.76520e9i | −0.288390 | − | 0.166502i | 0.348825 | − | 0.937188i | \(-0.386581\pi\) |
−0.637216 | + | 0.770686i | \(0.719914\pi\) | |||||||
\(480\) | 2.24916e10 | + | 4.12147e10i | 0.423697 | + | 0.776402i | ||||
\(481\) | −1.17024e10 | − | 2.02691e10i | −0.218622 | − | 0.378664i | ||||
\(482\) | −7.51657e10 | − | 8.26593e9i | −1.39262 | − | 0.153145i | ||||
\(483\) | −1.01851e9 | + | 4.37170e9i | −0.0187144 | + | 0.0803271i | ||||
\(484\) | −2.46221e9 | − | 5.48166e8i | −0.0448688 | − | 0.00998919i | ||||
\(485\) | −3.06607e10 | − | 5.31059e10i | −0.554135 | − | 0.959790i | ||||
\(486\) | −2.88519e9 | − | 2.11749e9i | −0.0517165 | − | 0.0379556i | ||||
\(487\) | −7.29368e10 | − | 4.21101e10i | −1.29667 | − | 0.748635i | −0.316846 | − | 0.948477i | \(-0.602624\pi\) |
−0.979828 | + | 0.199841i | \(0.935957\pi\) | |||||||
\(488\) | 2.13581e10 | + | 1.08131e11i | 0.376602 | + | 1.90664i | ||||
\(489\) | −5.17984e9 | −0.0905902 | ||||||||
\(490\) | −7.83404e10 | + | 4.07728e10i | −1.35894 | + | 0.707271i | ||||
\(491\) | 1.88136e9i | 0.0323703i | 0.999869 | + | 0.0161851i | \(0.00515211\pi\) | ||||
−0.999869 | + | 0.0161851i | \(0.994848\pi\) | |||||||
\(492\) | 4.68771e10 | − | 1.47343e10i | 0.800019 | − | 0.251460i | ||||
\(493\) | 1.72690e10 | − | 2.99108e10i | 0.292334 | − | 0.506337i | ||||
\(494\) | 4.00740e10 | + | 2.94110e10i | 0.672906 | + | 0.493857i | ||||
\(495\) | 2.71545e10 | − | 1.56777e10i | 0.452294 | − | 0.261132i | ||||
\(496\) | 1.97487e10 | − | 4.21546e10i | 0.326296 | − | 0.696496i | ||||
\(497\) | 9.33599e10 | + | 2.17508e10i | 1.53015 | + | 0.356492i | ||||
\(498\) | −6.23685e10 | − | 6.85864e9i | −1.01402 | − | 0.111512i | ||||
\(499\) | −5.95349e9 | + | 3.43725e9i | −0.0960218 | + | 0.0554382i | −0.547242 | − | 0.836974i | \(-0.684322\pi\) |
0.451220 | + | 0.892413i | \(0.350989\pi\) | |||||||
\(500\) | 2.24655e10 | − | 2.44729e10i | 0.359449 | − | 0.391567i | ||||
\(501\) | 2.25024e10 | − | 3.89753e10i | 0.357173 | − | 0.618641i | ||||
\(502\) | −1.00392e11 | + | 4.41199e10i | −1.58082 | + | 0.694735i | ||||
\(503\) | − | 3.89053e9i | − | 0.0607767i | −0.999538 | − | 0.0303884i | \(-0.990326\pi\) | ||
0.999538 | − | 0.0303884i | \(-0.00967441\pi\) | |||||||
\(504\) | 2.14957e10 | + | 7.28640e8i | 0.333142 | + | 0.0112925i | ||||
\(505\) | −2.79345e10 | −0.429512 | ||||||||
\(506\) | 3.85348e9 | + | 8.76831e9i | 0.0587829 | + | 0.133756i | ||||
\(507\) | 6.73231e8 | + | 3.88690e8i | 0.0101890 | + | 0.00588263i | ||||
\(508\) | 1.51337e10 | + | 1.38923e10i | 0.227242 | + | 0.208603i | ||||
\(509\) | 1.41760e9 | + | 2.45536e9i | 0.0211195 | + | 0.0365801i | 0.876392 | − | 0.481598i | \(-0.159944\pi\) |
−0.855272 | + | 0.518179i | \(0.826610\pi\) | |||||||
\(510\) | 4.75597e9 | − | 4.32481e10i | 0.0703005 | − | 0.639272i | ||||
\(511\) | 5.65911e10 | + | 5.29843e10i | 0.829975 | + | 0.777076i | ||||
\(512\) | 3.79487e10 | + | 5.72911e10i | 0.552226 | + | 0.833695i | ||||
\(513\) | 5.62019e9 | + | 9.73445e9i | 0.0811486 | + | 0.140554i | ||||
\(514\) | −2.73910e10 | + | 3.73216e10i | −0.392424 | + | 0.534698i | ||||
\(515\) | −1.80265e10 | − | 1.04076e10i | −0.256261 | − | 0.147952i | ||||
\(516\) | −5.56599e9 | − | 1.77082e10i | −0.0785134 | − | 0.249790i | ||||
\(517\) | 1.15892e11 | 1.62214 | ||||||||
\(518\) | 2.07028e10 | + | 2.41461e10i | 0.287548 | + | 0.335373i | ||||
\(519\) | − | 5.11182e9i | − | 0.0704540i | ||||||
\(520\) | 2.14831e10 | + | 1.08764e11i | 0.293822 | + | 1.48755i | ||||
\(521\) | 7.29836e9 | − | 1.26411e10i | 0.0990545 | − | 0.171567i | −0.812239 | − | 0.583325i | \(-0.801752\pi\) |
0.911294 | + | 0.411757i | \(0.135085\pi\) | |||||||
\(522\) | −1.17746e10 | + | 1.60435e10i | −0.158585 | + | 0.216081i | ||||
\(523\) | 4.74507e10 | − | 2.73957e10i | 0.634214 | − | 0.366164i | −0.148168 | − | 0.988962i | \(-0.547338\pi\) |
0.782382 | + | 0.622798i | \(0.214004\pi\) | |||||||
\(524\) | −2.84080e10 | + | 1.27601e11i | −0.376805 | + | 1.69250i | ||||
\(525\) | −1.71598e10 | − | 5.65317e10i | −0.225879 | − | 0.744140i | ||||
\(526\) | 1.23170e10 | − | 1.12004e11i | 0.160902 | − | 1.46315i | ||||
\(527\) | −3.73579e10 | + | 2.15686e10i | −0.484328 | + | 0.279627i | ||||
\(528\) | 3.76392e10 | − | 2.62552e10i | 0.484289 | − | 0.337816i | ||||
\(529\) | −3.83564e10 | + | 6.64352e10i | −0.489796 | + | 0.848352i | ||||
\(530\) | 5.99773e10 | + | 1.36474e11i | 0.760122 | + | 1.72960i | ||||
\(531\) | 4.04765e10i | 0.509125i | ||||||||
\(532\) | −6.08872e10 | − | 2.92583e10i | −0.760115 | − | 0.365261i | ||||
\(533\) | 1.16027e11 | 1.43763 | ||||||||
\(534\) | 5.94544e10 | − | 2.61289e10i | 0.731171 | − | 0.321333i | ||||
\(535\) | −2.38941e9 | − | 1.37953e9i | −0.0291659 | − | 0.0168390i | ||||
\(536\) | −5.87418e10 | − | 6.71633e10i | −0.711685 | − | 0.813716i | ||||
\(537\) | 8.62223e9 | + | 1.49341e10i | 0.103687 | + | 0.179590i | ||||
\(538\) | −6.33054e10 | − | 6.96166e9i | −0.755634 | − | 0.0830967i | ||||
\(539\) | 4.79829e10 | + | 7.17556e10i | 0.568502 | + | 0.850161i | ||||
\(540\) | −5.44788e9 | + | 2.44704e10i | −0.0640697 | + | 0.287784i | ||||
\(541\) | 5.11031e10 | + | 8.85132e10i | 0.596566 | + | 1.03328i | 0.993324 | + | 0.115359i | \(0.0368019\pi\) |
−0.396758 | + | 0.917923i | \(0.629865\pi\) | |||||||
\(542\) | 1.31056e11 | + | 9.61839e10i | 1.51865 | + | 1.11456i | ||||
\(543\) | 1.20425e10 | + | 6.95275e9i | 0.138522 | + | 0.0799756i | ||||
\(544\) | 1.53123e9 | − | 6.36611e10i | 0.0174842 | − | 0.726906i | ||||
\(545\) | −8.93487e10 | −1.01275 | ||||||||
\(546\) | 4.79048e10 | + | 1.68608e10i | 0.539025 | + | 0.189718i | ||||
\(547\) | − | 1.31939e11i | − | 1.47375i | −0.676029 | − | 0.736875i | \(-0.736301\pi\) | ||
0.676029 | − | 0.736875i | \(-0.263699\pi\) | |||||||
\(548\) | −3.16184e10 | − | 1.00594e11i | −0.350604 | − | 1.11545i | ||||
\(549\) | −2.94252e10 | + | 5.09659e10i | −0.323914 | + | 0.561035i | ||||
\(550\) | −1.01624e11 | − | 7.45836e10i | −1.11057 | − | 0.815066i | ||||
\(551\) | 5.41297e10 | − | 3.12518e10i | 0.587258 | − | 0.339054i | ||||
\(552\) | −7.24797e9 | − | 2.47118e9i | −0.0780657 | − | 0.0266163i | ||||
\(553\) | 6.63344e9 | + | 2.18534e10i | 0.0709314 | + | 0.233678i | ||||
\(554\) | −7.87820e10 | − | 8.66361e9i | −0.836349 | − | 0.0919729i | ||||
\(555\) | −3.21062e10 | + | 1.85365e10i | −0.338389 | + | 0.195369i | ||||
\(556\) | −7.65039e10 | − | 7.02287e10i | −0.800543 | − | 0.734878i | ||||
\(557\) | −4.76568e10 | + | 8.25439e10i | −0.495112 | + | 0.857560i | −0.999984 | − | 0.00563456i | \(-0.998206\pi\) |
0.504872 | + | 0.863194i | \(0.331540\pi\) | |||||||
\(558\) | 2.27549e10 | − | 1.00003e10i | 0.234714 | − | 0.103151i | ||||
\(559\) | − | 4.38299e10i | − | 0.448873i | ||||||
\(560\) | −5.59097e10 | − | 1.39904e11i | −0.568506 | − | 1.42259i | ||||
\(561\) | −4.25259e10 | −0.429341 | ||||||||
\(562\) | −4.29510e10 | − | 9.77319e10i | −0.430554 | − | 0.979695i | ||||
\(563\) | −4.16870e10 | − | 2.40680e10i | −0.414923 | − | 0.239556i | 0.277980 | − | 0.960587i | \(-0.410335\pi\) |
−0.692903 | + | 0.721031i | \(0.743668\pi\) | |||||||
\(564\) | −6.26603e10 | + | 6.82593e10i | −0.619264 | + | 0.674598i | ||||
\(565\) | 1.20978e8 | + | 2.09540e8i | 0.00118717 | + | 0.00205623i | ||||
\(566\) | −1.62929e10 | + | 1.48158e11i | −0.158757 | + | 1.44364i | ||||
\(567\) | 8.38310e9 | + | 7.84880e9i | 0.0811097 | + | 0.0759401i | ||||
\(568\) | −5.27733e10 | + | 1.54784e11i | −0.507015 | + | 1.48707i | ||||
\(569\) | −6.46940e10 | − | 1.12053e11i | −0.617185 | − | 1.06900i | −0.989997 | − | 0.141088i | \(-0.954940\pi\) |
0.372812 | − | 0.927907i | \(-0.378393\pi\) | |||||||
\(570\) | 4.65869e10 | − | 6.34771e10i | 0.441331 | − | 0.601336i | ||||
\(571\) | 5.92750e9 | + | 3.42224e9i | 0.0557606 | + | 0.0321934i | 0.527621 | − | 0.849480i | \(-0.323084\pi\) |
−0.471861 | + | 0.881673i | \(0.656417\pi\) | |||||||
\(572\) | 1.03375e11 | − | 3.24925e10i | 0.965672 | − | 0.303528i | ||||
\(573\) | 5.62147e10 | 0.521472 | ||||||||
\(574\) | −1.54981e11 | + | 2.90311e10i | −1.42768 | + | 0.267434i | ||||
\(575\) | 2.10342e10i | 0.192422i | ||||||||
\(576\) | −4.88664e9 | + | 3.63649e10i | −0.0443936 | + | 0.330364i | ||||
\(577\) | −2.24278e10 | + | 3.88461e10i | −0.202341 | + | 0.350465i | −0.949282 | − | 0.314425i | \(-0.898188\pi\) |
0.746941 | + | 0.664890i | \(0.231522\pi\) | |||||||
\(578\) | 3.11236e10 | − | 4.24075e10i | 0.278855 | − | 0.379954i | ||||
\(579\) | −7.87635e10 | + | 4.54742e10i | −0.700827 | + | 0.404623i | ||||
\(580\) | 1.36071e11 | + | 3.02937e10i | 1.20241 | + | 0.267695i | ||||
\(581\) | 1.96086e11 | + | 4.56836e10i | 1.72084 | + | 0.400918i | ||||
\(582\) | 5.23825e9 | − | 4.76337e10i | 0.0456556 | − | 0.415166i | ||||
\(583\) | 1.26184e11 | − | 7.28522e10i | 1.09227 | − | 0.630621i | ||||
\(584\) | −9.95487e10 | + | 8.70664e10i | −0.855824 | + | 0.748512i | ||||
\(585\) | −2.95974e10 | + | 5.12643e10i | −0.252715 | + | 0.437715i | ||||
\(586\) | −6.88415e9 | − | 1.56644e10i | −0.0583794 | − | 0.132838i | ||||
\(587\) | 1.32630e11i | 1.11710i | 0.829473 | + | 0.558548i | \(0.188641\pi\) | ||||
−0.829473 | + | 0.558548i | \(0.811359\pi\) | |||||||
\(588\) | −6.82070e10 | − | 1.05353e10i | −0.570584 | − | 0.0881326i | ||||
\(589\) | −7.80655e10 | −0.648632 | ||||||||
\(590\) | 2.59574e11 | − | 1.14077e11i | 2.14216 | − | 0.941433i | ||||
\(591\) | −7.61299e10 | − | 4.39536e10i | −0.624030 | − | 0.360284i | ||||
\(592\) | −4.45028e10 | + | 3.10429e10i | −0.362327 | + | 0.252741i | ||||
\(593\) | −1.51041e10 | − | 2.61611e10i | −0.122145 | − | 0.211562i | 0.798468 | − | 0.602037i | \(-0.205644\pi\) |
−0.920613 | + | 0.390475i | \(0.872311\pi\) | |||||||
\(594\) | 2.43564e10 | + | 2.67846e9i | 0.195644 | + | 0.0215149i | ||||
\(595\) | −3.16783e10 | + | 1.35971e11i | −0.252751 | + | 1.08487i | ||||
\(596\) | −9.59030e10 | − | 2.13510e10i | −0.760059 | − | 0.169213i | ||||
\(597\) | 1.67621e10 | + | 2.90329e10i | 0.131957 | + | 0.228556i | ||||
\(598\) | −1.45770e10 | − | 1.06983e10i | −0.113989 | − | 0.0836583i | ||||
\(599\) | 3.34665e10 | + | 1.93219e10i | 0.259958 | + | 0.150087i | 0.624315 | − | 0.781172i | \(-0.285378\pi\) |
−0.364357 | + | 0.931259i | \(0.618711\pi\) | |||||||
\(600\) | 9.88753e10 | − | 1.95299e10i | 0.762927 | − | 0.150694i | ||||
\(601\) | −3.71104e10 | −0.284445 | −0.142222 | − | 0.989835i | \(-0.545425\pi\) | ||||
−0.142222 | + | 0.989835i | \(0.545425\pi\) | |||||||
\(602\) | 1.09667e10 | + | 5.85452e10i | 0.0835008 | + | 0.445764i | ||||
\(603\) | − | 4.76416e10i | − | 0.360344i | ||||||
\(604\) | 2.10781e11 | − | 6.62521e10i | 1.58374 | − | 0.497796i | ||||
\(605\) | −4.71729e9 | + | 8.17059e9i | −0.0352104 | + | 0.0609863i | ||||
\(606\) | −1.75989e10 | − | 1.29161e10i | −0.130495 | − | 0.0957725i | ||||
\(607\) | 8.51528e10 | − | 4.91630e10i | 0.627255 | − | 0.362146i | −0.152433 | − | 0.988314i | \(-0.548711\pi\) |
0.779688 | + | 0.626168i | \(0.215378\pi\) | |||||||
\(608\) | 6.00037e10 | − | 9.83873e10i | 0.439100 | − | 0.719987i | ||||
\(609\) | 4.36443e10 | − | 4.66153e10i | 0.317291 | − | 0.338891i | ||||
\(610\) | 4.09772e11 | + | 4.50624e10i | 2.95953 | + | 0.325458i | ||||
\(611\) | −1.89476e11 | + | 1.09394e11i | −1.35953 | + | 0.784928i | ||||
\(612\) | 2.29929e10 | − | 2.50475e10i | 0.163904 | − | 0.178549i | ||||
\(613\) | 1.10656e11 | − | 1.91662e11i | 0.783672 | − | 1.35736i | −0.146117 | − | 0.989267i | \(-0.546678\pi\) |
0.929789 | − | 0.368093i | \(-0.119989\pi\) | |||||||
\(614\) | 8.71644e9 | − | 3.83068e9i | 0.0613290 | − | 0.0269527i | ||||
\(615\) | − | 1.83786e11i | − | 1.28473i | ||||||
\(616\) | −1.29951e11 | + | 6.92668e10i | −0.902522 | + | 0.481064i | ||||
\(617\) | −1.62056e11 | −1.11821 | −0.559105 | − | 0.829097i | \(-0.688855\pi\) | ||||
−0.559105 | + | 0.829097i | \(0.688855\pi\) | |||||||
\(618\) | −6.54460e9 | − | 1.48918e10i | −0.0448672 | − | 0.102092i | ||||
\(619\) | 1.67802e11 | + | 9.68805e10i | 1.14297 | + | 0.659893i | 0.947164 | − | 0.320750i | \(-0.103935\pi\) |
0.195804 | + | 0.980643i | \(0.437268\pi\) | |||||||
\(620\) | −1.28263e11 | − | 1.17742e11i | −0.868027 | − | 0.796827i | ||||
\(621\) | −2.04435e9 | − | 3.54092e9i | −0.0137464 | − | 0.0238094i | ||||
\(622\) | −1.78967e10 | + | 1.62742e11i | −0.119567 | + | 1.08727i | ||||
\(623\) | −1.99406e11 | + | 6.05284e10i | −1.32369 | + | 0.401797i | ||||
\(624\) | −3.67548e10 | + | 7.84549e10i | −0.242424 | + | 0.517466i | ||||
\(625\) | 4.06388e10 | + | 7.03884e10i | 0.266330 | + | 0.461297i | ||||
\(626\) | 1.61542e11 | − | 2.20109e11i | 1.05193 | − | 1.43331i | ||||
\(627\) | −6.66488e10 | − | 3.84797e10i | −0.431243 | − | 0.248978i | ||||
\(628\) | −2.84678e10 | − | 9.05702e10i | −0.183027 | − | 0.582300i | ||||
\(629\) | 5.02806e10 | 0.321217 | ||||||||
\(630\) | 2.67075e10 | − | 7.58811e10i | 0.169539 | − | 0.481695i | ||||
\(631\) | 8.82933e10i | 0.556942i | 0.960445 | + | 0.278471i | \(0.0898277\pi\) | ||||
−0.960445 | + | 0.278471i | \(0.910172\pi\) | |||||||
\(632\) | −3.82221e10 | + | 7.54966e9i | −0.239578 | + | 0.0473216i | ||||
\(633\) | 4.59715e9 | − | 7.96249e9i | 0.0286334 | − | 0.0495946i | ||||
\(634\) | −3.15448e10 | + | 4.29815e10i | −0.195241 | + | 0.266026i | ||||
\(635\) | 6.65415e10 | − | 3.84177e10i | 0.409258 | − | 0.236285i | ||||
\(636\) | −2.53156e10 | + | 1.13711e11i | −0.154725 | + | 0.694983i | ||||
\(637\) | −1.46182e11 | − | 7.20238e10i | −0.887845 | − | 0.437440i | ||||
\(638\) | 1.48939e10 | − | 1.35437e11i | 0.0898931 | − | 0.817437i | ||||
\(639\) | −7.56180e10 | + | 4.36581e10i | −0.453547 | + | 0.261855i | ||||
\(640\) | 2.46979e11 | − | 7.11513e10i | 1.47211 | − | 0.424095i | ||||
\(641\) | −2.71225e10 | + | 4.69775e10i | −0.160656 | + | 0.278265i | −0.935104 | − | 0.354373i | \(-0.884694\pi\) |
0.774448 | + | 0.632638i | \(0.218028\pi\) | |||||||
\(642\) | −8.67487e8 | − | 1.97390e9i | −0.00510650 | − | 0.0116195i | ||||
\(643\) | − | 2.68392e11i | − | 1.57009i | −0.619436 | − | 0.785047i | \(-0.712639\pi\) | ||
0.619436 | − | 0.785047i | \(-0.287361\pi\) | |||||||
\(644\) | 2.21478e10 | + | 1.06428e10i | 0.128762 | + | 0.0618743i | ||||
\(645\) | −6.94264e10 | −0.401131 | ||||||||
\(646\) | −9.77645e10 | + | 4.29653e10i | −0.561373 | + | 0.246711i | ||||
\(647\) | −1.26422e11 | − | 7.29898e10i | −0.721450 | − | 0.416529i | 0.0938364 | − | 0.995588i | \(-0.470087\pi\) |
−0.815286 | + | 0.579059i | \(0.803420\pi\) | |||||||
\(648\) | −1.47466e10 | + | 1.28975e10i | −0.0836358 | + | 0.0731487i | ||||
\(649\) | −1.38565e11 | − | 2.40002e11i | −0.781042 | − | 1.35281i | ||||
\(650\) | 2.36552e11 | + | 2.60135e10i | 1.32518 | + | 0.145729i | ||||
\(651\) | −7.63185e10 | + | 2.31659e10i | −0.424919 | + | 0.128981i | ||||
\(652\) | −6.16189e9 | + | 2.76775e10i | −0.0340976 | + | 0.153157i | ||||
\(653\) | −9.40606e10 | − | 1.62918e11i | −0.517315 | − | 0.896016i | −0.999798 | − | 0.0201105i | \(-0.993598\pi\) |
0.482483 | − | 0.875906i | \(-0.339735\pi\) | |||||||
\(654\) | −5.62901e10 | − | 4.13123e10i | −0.307695 | − | 0.225823i | ||||
\(655\) | 4.23431e11 | + | 2.44468e11i | 2.30048 | + | 1.32818i | ||||
\(656\) | −2.29655e10 | − | 2.68007e11i | −0.124011 | − | 1.44721i | ||||
\(657\) | −7.06139e10 | −0.378991 | ||||||||
\(658\) | 2.25719e11 | − | 1.93531e11i | 1.20410 | − | 1.03240i | ||||
\(659\) | 2.08300e11i | 1.10446i | 0.833693 | + | 0.552228i | \(0.186222\pi\) | ||||
−0.833693 | + | 0.552228i | \(0.813778\pi\) | |||||||
\(660\) | −5.14680e10 | − | 1.63745e11i | −0.271245 | − | 0.862964i | ||||
\(661\) | 1.03673e10 | − | 1.79567e10i | 0.0543076 | − | 0.0940635i | −0.837594 | − | 0.546294i | \(-0.816038\pi\) |
0.891901 | + | 0.452230i | \(0.149372\pi\) | |||||||
\(662\) | −1.60260e11 | − | 1.17617e11i | −0.834435 | − | 0.612406i | ||||
\(663\) | 6.95276e10 | − | 4.01418e10i | 0.359835 | − | 0.207751i | ||||
\(664\) | −1.10841e11 | + | 3.25096e11i | −0.570200 | + | 1.67240i | ||||
\(665\) | −1.72682e11 | + | 1.84437e11i | −0.882998 | + | 0.943107i | ||||
\(666\) | −2.87978e10 | − | 3.16688e9i | −0.146374 | − | 0.0160966i | ||||
\(667\) | −1.96897e10 | + | 1.13679e10i | −0.0994802 | + | 0.0574349i | ||||
\(668\) | −1.81489e11 | − | 1.66602e11i | −0.911474 | − | 0.836710i | ||||
\(669\) | −3.82920e10 | + | 6.63238e10i | −0.191163 | + | 0.331104i | ||||
\(670\) | −3.05523e11 | + | 1.34271e11i | −1.51616 | + | 0.666319i | ||||
\(671\) | − | 4.02930e11i | − | 1.98765i | ||||||
\(672\) | 2.94644e10 | − | 1.13992e11i | 0.144484 | − | 0.558979i | ||||
\(673\) | 1.78520e11 | 0.870217 | 0.435109 | − | 0.900378i | \(-0.356710\pi\) | ||||
0.435109 | + | 0.900378i | \(0.356710\pi\) | |||||||
\(674\) | −8.57449e10 | − | 1.95106e11i | −0.415498 | − | 0.945435i | ||||
\(675\) | 4.66035e10 | + | 2.69065e10i | 0.224493 | + | 0.129611i | ||||
\(676\) | 2.87776e9 | − | 3.13491e9i | 0.0137806 | − | 0.0150120i | ||||
\(677\) | 1.35994e11 | + | 2.35549e11i | 0.647389 | + | 1.12131i | 0.983744 | + | 0.179576i | \(0.0574725\pi\) |
−0.336355 | + | 0.941735i | \(0.609194\pi\) | |||||||
\(678\) | −2.06685e7 | + | 1.87948e8i | −9.78116e−5 | + | 0.000889443i | ||||
\(679\) | −3.48906e10 | + | 1.49759e11i | −0.164146 | + | 0.704555i | ||||
\(680\) | −2.25430e11 | − | 7.68601e10i | −1.05433 | − | 0.359472i | ||||
\(681\) | −2.26853e10 | − | 3.92921e10i | −0.105477 | − | 0.182691i | ||||
\(682\) | −1.00689e11 | + | 1.37194e11i | −0.465418 | + | 0.634157i | ||||
\(683\) | 4.90807e10 | + | 2.83368e10i | 0.225542 | + | 0.130217i | 0.608514 | − | 0.793543i | \(-0.291766\pi\) |
−0.382972 | + | 0.923760i | \(0.625099\pi\) | |||||||
\(684\) | 5.86999e10 | − | 1.84504e10i | 0.268172 | − | 0.0842912i | ||||
\(685\) | −3.94386e11 | −1.79126 | ||||||||
\(686\) | 2.13282e11 | + | 5.96283e10i | 0.963070 | + | 0.269250i | ||||
\(687\) | 5.35388e10i | 0.240349i | ||||||||
\(688\) | −1.01242e11 | + | 8.67539e9i | −0.451861 | + | 0.0387200i | ||||
\(689\) | −1.37536e11 | + | 2.38219e11i | −0.610293 | + | 1.05706i | ||||
\(690\) | −1.69460e10 | + | 2.30899e10i | −0.0747605 | + | 0.101865i | ||||
\(691\) | 1.76015e11 | − | 1.01622e11i | 0.772034 | − | 0.445734i | −0.0615659 | − | 0.998103i | \(-0.519609\pi\) |
0.833600 | + | 0.552369i | \(0.186276\pi\) | |||||||
\(692\) | −2.73141e10 | − | 6.08097e9i | −0.119114 | − | 0.0265185i | ||||
\(693\) | −7.65761e10 | − | 1.78405e10i | −0.332017 | − | 0.0773525i | ||||
\(694\) | 1.82795e10 | − | 1.66223e11i | 0.0788001 | − | 0.716563i | ||||
\(695\) | −3.36381e11 | + | 1.94210e11i | −1.44176 | + | 0.832400i | ||||
\(696\) | 7.17184e10 | + | 8.20004e10i | 0.305629 | + | 0.349445i | ||||
\(697\) | −1.24630e11 | + | 2.15866e11i | −0.528072 | + | 0.914648i | ||||
\(698\) | 6.86876e9 | + | 1.56294e10i | 0.0289372 | + | 0.0658445i | ||||
\(699\) | 1.49872e11i | 0.627786i | ||||||||
\(700\) | −3.22480e11 | + | 2.44407e10i | −1.34311 | + | 0.101794i | ||||
\(701\) | −2.49507e11 | −1.03326 | −0.516632 | − | 0.856208i | \(-0.672814\pi\) | ||||
−0.516632 | + | 0.856208i | \(0.672814\pi\) | |||||||
\(702\) | −4.23497e10 | + | 1.86117e10i | −0.174382 | + | 0.0766370i | ||||
\(703\) | 7.88023e10 | + | 4.54965e10i | 0.322640 | + | 0.186276i | ||||
\(704\) | −9.55149e10 | − | 2.32351e11i | −0.388848 | − | 0.945920i | ||||
\(705\) | 1.73280e11 | + | 3.00130e11i | 0.701443 | + | 1.21494i | ||||
\(706\) | −3.90165e10 | − | 4.29063e9i | −0.157047 | − | 0.0172704i | ||||
\(707\) | 5.11346e10 | + | 4.78756e10i | 0.204662 | + | 0.191618i | ||||
\(708\) | 2.16279e11 | + | 4.81504e10i | 0.860757 | + | 0.191631i | ||||
\(709\) | 1.34919e11 | + | 2.33687e11i | 0.533936 | + | 0.924805i | 0.999214 | + | 0.0396401i | \(0.0126211\pi\) |
−0.465278 | + | 0.885165i | \(0.654046\pi\) | |||||||
\(710\) | 4.93096e11 | + | 3.61891e11i | 1.94043 | + | 1.42411i | ||||
\(711\) | −1.80154e10 | − | 1.04012e10i | −0.0704963 | − | 0.0407011i | ||||
\(712\) | −6.88886e10 | − | 3.48766e11i | −0.268057 | − | 1.35711i | ||||
\(713\) | 2.83964e10 | 0.109877 | ||||||||
\(714\) | −8.28266e10 | + | 7.10154e10i | −0.318696 | + | 0.273250i | ||||
\(715\) | − | 4.05289e11i | − | 1.55075i | ||||||
\(716\) | 9.00548e10 | − | 2.83058e10i | 0.342653 | − | 0.107702i | ||||
\(717\) | 1.31586e11 | − | 2.27913e11i | 0.497888 | − | 0.862368i | ||||
\(718\) | −4.24240e11 | − | 3.11357e11i | −1.59630 | − | 1.17155i | ||||
\(719\) | 1.73839e11 | − | 1.00366e11i | 0.650475 | − | 0.375552i | −0.138163 | − | 0.990409i | \(-0.544120\pi\) |
0.788638 | + | 0.614858i | \(0.210786\pi\) | |||||||
\(720\) | 1.24272e11 | + | 5.82195e10i | 0.462429 | + | 0.216640i | ||||
\(721\) | 1.51608e10 | + | 4.99460e10i | 0.0561022 | + | 0.184824i | ||||
\(722\) | 7.80099e10 | + | 8.57871e9i | 0.287079 | + | 0.0315699i | ||||
\(723\) | −1.91410e11 | + | 1.10511e11i | −0.700506 | + | 0.404437i | ||||
\(724\) | 5.14764e10 | − | 5.60761e10i | 0.187350 | − | 0.204091i | ||||
\(725\) | 1.49617e11 | − | 2.59145e11i | 0.541539 | − | 0.937973i | ||||
\(726\) | −6.74976e9 | + | 2.96637e9i | −0.0242964 | + | 0.0106777i | ||||
\(727\) | − | 3.30354e11i | − | 1.18261i | −0.806448 | − | 0.591305i | \(-0.798613\pi\) | ||
0.806448 | − | 0.591305i | \(-0.201387\pi\) | |||||||
\(728\) | 1.47080e11 | − | 2.35913e11i | 0.523634 | − | 0.839899i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | 1.99015e11 | + | 4.52843e11i | 0.700799 | + | 1.59462i | ||||
\(731\) | 8.15451e10 | + | 4.70801e10i | 0.285580 | + | 0.164880i | ||||
\(732\) | 2.37323e11 | + | 2.17856e11i | 0.826600 | + | 0.758798i | ||||
\(733\) | −4.27199e10 | − | 7.39930e10i | −0.147984 | − | 0.256316i | 0.782498 | − | 0.622653i | \(-0.213945\pi\) |
−0.930482 | + | 0.366337i | \(0.880612\pi\) | |||||||
\(734\) | −2.88876e10 | + | 2.62688e11i | −0.0995239 | + | 0.905014i | ||||
\(735\) | −1.14085e11 | + | 2.31552e11i | −0.390914 | + | 0.793414i | ||||
\(736\) | −2.18264e10 | + | 3.57885e10i | −0.0743826 | + | 0.121964i | ||||
\(737\) | 1.63094e11 | + | 2.82487e11i | 0.552799 | + | 0.957477i | ||||
\(738\) | 8.49772e10 | − | 1.15786e11i | 0.286469 | − | 0.390328i | ||||
\(739\) | 1.63678e11 | + | 9.44996e10i | 0.548799 | + | 0.316849i | 0.748637 | − | 0.662980i | \(-0.230708\pi\) |
−0.199839 | + | 0.979829i | \(0.564042\pi\) | |||||||
\(740\) | 6.08533e10 | + | 1.93604e11i | 0.202935 | + | 0.645637i | ||||
\(741\) | 1.45290e11 | 0.481905 | ||||||||
\(742\) | 1.24106e11 | − | 3.52610e11i | 0.409429 | − | 1.16327i | ||||
\(743\) | − | 4.97940e11i | − | 1.63389i | −0.576717 | − | 0.816944i | \(-0.695667\pi\) | ||
0.576717 | − | 0.816944i | \(-0.304333\pi\) | |||||||
\(744\) | −2.63656e10 | − | 1.33483e11i | −0.0860492 | − | 0.435646i | ||||
\(745\) | −1.83738e11 | + | 3.18244e11i | −0.596451 | + | 1.03308i | ||||
\(746\) | 5.72714e10 | − | 7.80353e10i | 0.184919 | − | 0.251962i | ||||
\(747\) | −1.58822e11 | + | 9.16960e10i | −0.510068 | + | 0.294488i | ||||
\(748\) | −5.05884e10 | + | 2.27230e11i | −0.161601 | + | 0.725869i | ||||
\(749\) | 2.00956e9 | + | 6.62035e9i | 0.00638519 | + | 0.0210355i | ||||
\(750\) | 1.06140e10 | − | 9.65173e10i | 0.0335453 | − | 0.305042i | ||||
\(751\) | −3.89007e11 | + | 2.24593e11i | −1.22292 | + | 0.706053i | −0.965539 | − | 0.260257i | \(-0.916193\pi\) |
−0.257380 | + | 0.966310i | \(0.582859\pi\) | |||||||
\(752\) | 2.90191e11 | + | 4.16014e11i | 0.907428 | + | 1.30088i | ||||
\(753\) | −1.60257e11 | + | 2.77574e11i | −0.498468 | + | 0.863372i | ||||
\(754\) | 1.03493e11 | + | 2.35491e11i | 0.320203 | + | 0.728599i | ||||
\(755\) | − | 8.26384e11i | − | 2.54328i | ||||||
\(756\) | 5.19111e10 | − | 3.54567e10i | 0.158918 | − | 0.108545i | ||||
\(757\) | 5.36966e11 | 1.63517 | 0.817586 | − | 0.575807i | \(-0.195312\pi\) | ||||
0.817586 | + | 0.575807i | \(0.195312\pi\) | |||||||
\(758\) | −2.12087e11 | + | 9.32077e10i | −0.642448 | + | 0.282342i | ||||
\(759\) | 2.42436e10 | + | 1.39970e10i | 0.0730516 | + | 0.0421764i | ||||
\(760\) | −2.83759e11 | − | 3.24440e11i | −0.850541 | − | 0.972479i | ||||
\(761\) | −1.45211e11 | − | 2.51513e11i | −0.432974 | − | 0.749933i | 0.564154 | − | 0.825670i | \(-0.309203\pi\) |
−0.997128 | + | 0.0757366i | \(0.975869\pi\) | |||||||
\(762\) | 5.96847e10 | + | 6.56350e9i | 0.177029 | + | 0.0194677i | ||||
\(763\) | 1.63555e11 | + | 1.53130e11i | 0.482575 | + | 0.451818i | ||||
\(764\) | 6.68724e10 | − | 3.00373e11i | 0.196279 | − | 0.881631i | ||||
\(765\) | −6.35845e10 | − | 1.10132e11i | −0.185655 | − | 0.321563i | ||||
\(766\) | 2.68534e11 | + | 1.97082e11i | 0.779981 | + | 0.572442i | ||||
\(767\) | 4.53093e11 | + | 2.61593e11i | 1.30920 | + | 0.755866i | ||||
\(768\) | 1.88496e11 | + | 6.93702e10i | 0.541823 | + | 0.199401i | ||||
\(769\) | −2.41190e11 | −0.689690 | −0.344845 | − | 0.938660i | \(-0.612069\pi\) | ||||
−0.344845 | + | 0.938660i | \(0.612069\pi\) | |||||||
\(770\) | 1.01408e11 | + | 5.41360e11i | 0.288475 | + | 1.54001i | ||||
\(771\) | 1.35311e11i | 0.382926i | ||||||||
\(772\) | 1.49287e11 | + | 4.74954e11i | 0.420292 | + | 1.33716i | ||||
\(773\) | 2.57806e11 | − | 4.46533e11i | 0.722063 | − | 1.25065i | −0.238108 | − | 0.971239i | \(-0.576527\pi\) |
0.960171 | − | 0.279412i | \(-0.0901394\pi\) | |||||||
\(774\) | −4.37390e10 | − | 3.21008e10i | −0.121872 | − | 0.0894441i | ||||
\(775\) | −3.23666e11 | + | 1.86869e11i | −0.897202 | + | 0.518000i | ||||
\(776\) | −2.48290e11 | − | 8.46541e10i | −0.684720 | − | 0.233454i | ||||
\(777\) | 9.05399e10 | + | 2.10938e10i | 0.248402 | + | 0.0578722i | ||||
\(778\) | −7.63101e10 | − | 8.39178e9i | −0.208288 | − | 0.0229053i | ||||
\(779\) | −3.90654e11 | + | 2.25544e11i | −1.06082 | + | 0.612466i | ||||
\(780\) | 2.38712e11 | + | 2.19132e11i | 0.644906 | + | 0.592008i | ||||
\(781\) | 2.98914e11 | − | 5.17734e11i | 0.803418 | − | 1.39156i | ||||
\(782\) | 3.55620e10 | − | 1.56287e10i | 0.0950952 | − | 0.0417923i | ||||
\(783\) | 5.81662e10i | 0.154747i | ||||||||
\(784\) | −1.37432e11 | + | 3.51919e11i | −0.363766 | + | 0.931490i | ||||
\(785\) | −3.55089e11 | −0.935100 | ||||||||
\(786\) | 1.53729e11 | + | 3.49799e11i | 0.402777 | + | 0.916490i | ||||
\(787\) | 1.79250e11 | + | 1.03490e11i | 0.467263 | + | 0.269774i | 0.715093 | − | 0.699029i | \(-0.246384\pi\) |
−0.247830 | + | 0.968803i | \(0.579718\pi\) | |||||||
\(788\) | −3.25422e11 | + | 3.54499e11i | −0.843998 | + | 0.919413i | ||||
\(789\) | −1.64671e11 | − | 2.85218e11i | −0.424921 | − | 0.735985i | ||||
\(790\) | −1.59287e10 | + | 1.44846e11i | −0.0408951 | + | 0.371877i | ||||
\(791\) | 1.37668e8 | − | 5.90905e8i | 0.000351662 | − | 0.00150942i | ||||
\(792\) | 4.32860e10 | − | 1.26958e11i | 0.110014 | − | 0.322669i | ||||
\(793\) | 3.80341e11 | + | 6.58769e11i | 0.961789 | + | 1.66587i | ||||
\(794\) | −1.19074e11 | + | 1.62244e11i | −0.299595 | + | 0.408213i | ||||
\(795\) | 3.77338e11 | + | 2.17856e11i | 0.944631 | + | 0.545383i | ||||
\(796\) | 1.75072e11 | − | 5.50282e10i | 0.436078 | − | 0.137067i | ||||
\(797\) | 4.62387e11 | 1.14597 | 0.572984 | − | 0.819566i | \(-0.305786\pi\) | ||||
0.572984 | + | 0.819566i | \(0.305786\pi\) | |||||||
\(798\) | −1.94069e11 | + | 3.63531e10i | −0.478568 | + | 0.0896457i | ||||
\(799\) | − | 4.70026e11i | − | 1.15328i | ||||||
\(800\) | 1.32665e10 | − | 5.51555e11i | 0.0323888 | − | 1.34657i | ||||
\(801\) | 9.49083e10 | − | 1.64386e11i | 0.230555 | − | 0.399333i | ||||
\(802\) | 2.59742e11 | − | 3.53912e11i | 0.627834 | − | 0.855457i | ||||
\(803\) | 4.18699e11 | − | 2.41736e11i | 1.00702 | − | 0.581405i | ||||
\(804\) | −2.54564e11 | − | 5.66740e10i | −0.609219 | − | 0.135631i | ||||
\(805\) | 6.28132e10 | − | 6.70891e10i | 0.149578 | − | 0.159760i | ||||
\(806\) | 3.51186e10 | − | 3.19348e11i | 0.0832140 | − | 0.756701i | ||||
\(807\) | −1.61208e11 | + | 9.30733e10i | −0.380095 | + | 0.219448i | ||||
\(808\) | −8.99503e10 | + | 7.86714e10i | −0.211036 | + | 0.184574i | ||||
\(809\) | −3.05105e10 | + | 5.28458e10i | −0.0712288 | + | 0.123372i | −0.899440 | − | 0.437044i | \(-0.856025\pi\) |
0.828211 | + | 0.560416i | \(0.189359\pi\) | |||||||
\(810\) | 2.94810e10 | + | 6.70818e10i | 0.0684859 | + | 0.155835i | ||||
\(811\) | 5.29366e11i | 1.22369i | 0.790976 | + | 0.611847i | \(0.209573\pi\) | ||||
−0.790976 | + | 0.611847i | \(0.790427\pi\) | |||||||
\(812\) | −1.97162e11 | − | 2.88659e11i | −0.453522 | − | 0.663988i | ||||
\(813\) | 4.75147e11 | 1.08759 | ||||||||
\(814\) | 1.81595e11 | − | 7.98072e10i | 0.413625 | − | 0.181779i | ||||
\(815\) | 9.18450e10 | + | 5.30267e10i | 0.208173 | + | 0.120189i | ||||
\(816\) | −1.06484e11 | − | 1.52655e11i | −0.240174 | − | 0.344310i | ||||
\(817\) | 8.52011e10 | + | 1.47573e11i | 0.191230 | + | 0.331221i | ||||
\(818\) | 7.64701e11 | + | 8.40938e10i | 1.70796 | + | 0.187824i | ||||
\(819\) | 1.42038e11 | − | 4.31147e10i | 0.315696 | − | 0.0958274i | ||||
\(820\) | −9.82025e11 | − | 2.18630e11i | −2.17204 | − | 0.483564i | ||||
\(821\) | −3.10155e10 | − | 5.37204e10i | −0.0682662 | − | 0.118241i | 0.829872 | − | 0.557954i | \(-0.188413\pi\) |
−0.898138 | + | 0.439713i | \(0.855080\pi\) | |||||||
\(822\) | −2.48465e11 | − | 1.82353e11i | −0.544225 | − | 0.399416i | ||||
\(823\) | 3.73343e11 | + | 2.15550e11i | 0.813784 | + | 0.469838i | 0.848268 | − | 0.529567i | \(-0.177646\pi\) |
−0.0344843 | + | 0.999405i | \(0.510979\pi\) | |||||||
\(824\) | −8.73567e10 | + | 1.72548e10i | −0.189491 | + | 0.0374283i | ||||
\(825\) | −3.68442e11 | −0.795340 | ||||||||
\(826\) | −6.70666e11 | − | 2.36051e11i | −1.44074 | − | 0.507090i | ||||
\(827\) | − | 4.94226e11i | − | 1.05658i | −0.849063 | − | 0.528291i | \(-0.822833\pi\) | ||
0.849063 | − | 0.528291i | \(-0.177167\pi\) | |||||||
\(828\) | −2.13522e10 | + | 6.71137e9i | −0.0454277 | + | 0.0142787i | ||||
\(829\) | 2.58302e11 | − | 4.47392e11i | 0.546902 | − | 0.947262i | −0.451583 | − | 0.892229i | \(-0.649140\pi\) |
0.998485 | − | 0.0550326i | \(-0.0175263\pi\) | |||||||
\(830\) | 1.03566e12 | + | 7.60087e11i | 2.18225 | + | 1.60159i | ||||
\(831\) | −2.00619e11 | + | 1.15827e11i | −0.420696 | + | 0.242889i | ||||
\(832\) | 3.75487e11 | + | 2.89722e11i | 0.783612 | + | 0.604627i | ||||
\(833\) | 2.91022e11 | − | 1.94606e11i | 0.604430 | − | 0.404182i | ||||
\(834\) | −3.01719e11 | − | 3.31799e10i | −0.623646 | − | 0.0685821i | ||||
\(835\) | −7.97991e11 | + | 4.60721e11i | −1.64154 | + | 0.947745i | ||||
\(836\) | −2.84894e11 | + | 3.10351e11i | −0.583255 | + | 0.635371i | ||||
\(837\) | 3.63241e10 | − | 6.29152e10i | 0.0740105 | − | 0.128190i | ||||
\(838\) | 1.60556e10 | − | 7.05607e9i | 0.0325574 | − | 0.0143083i | ||||
\(839\) | 2.90379e11i | 0.586027i | 0.956108 | + | 0.293013i | \(0.0946581\pi\) | ||||
−0.956108 | + | 0.293013i | \(0.905342\pi\) | |||||||
\(840\) | −3.73686e11 | − | 2.32974e11i | −0.750568 | − | 0.467940i | ||||
\(841\) | −1.76806e11 | −0.353437 | ||||||||
\(842\) | −1.78047e11 | − | 4.05134e11i | −0.354231 | − | 0.806028i | ||||
\(843\) | −2.70220e11 | − | 1.56011e11i | −0.535065 | − | 0.308920i | ||||
\(844\) | −3.70774e10 | − | 3.40361e10i | −0.0730701 | − | 0.0670765i | ||||
\(845\) | −7.95815e9 | − | 1.37839e10i | −0.0156094 | − | 0.0270362i | ||||
\(846\) | −2.96042e10 | + | 2.69203e11i | −0.0577925 | + | 0.525532i | ||||
\(847\) | 2.26383e10 | − | 6.87169e9i | 0.0439855 | − | 0.0133515i | ||||
\(848\) | 5.77479e11 | + | 2.70539e11i | 1.11674 | + | 0.523174i | ||||
\(849\) | 2.17826e11 | + | 3.77286e11i | 0.419256 | + | 0.726173i | ||||
\(850\) | −3.02492e11 | + | 4.12161e11i | −0.579479 | + | 0.789570i | ||||
\(851\) | −2.86644e10 | − | 1.65494e10i | −0.0546544 | − | 0.0315547i | ||||
\(852\) | 1.43325e11 | + | 4.55986e11i | 0.271996 | + | 0.865353i | ||||
\(853\) | 7.29320e10 | 0.137760 | 0.0688798 | − | 0.997625i | \(-0.478058\pi\) | ||||
0.0688798 | + | 0.997625i | \(0.478058\pi\) | |||||||
\(854\) | −6.72866e11 | − | 7.84776e11i | −1.26502 | − | 1.47542i | ||||
\(855\) | − | 2.30138e11i | − | 0.430650i | ||||||
\(856\) | −1.15791e10 | + | 2.28712e9i | −0.0215666 | + | 0.00425985i | ||||
\(857\) | −4.00525e11 | + | 6.93729e11i | −0.742516 | + | 1.28608i | 0.208830 | + | 0.977952i | \(0.433034\pi\) |
−0.951346 | + | 0.308124i | \(0.900299\pi\) | |||||||
\(858\) | 1.87394e11 | − | 2.55334e11i | 0.345786 | − | 0.471151i | ||||
\(859\) | 7.71526e11 | − | 4.45441e11i | 1.41703 | − | 0.818121i | 0.420990 | − | 0.907065i | \(-0.361683\pi\) |
0.996037 | + | 0.0889447i | \(0.0283494\pi\) | |||||||
\(860\) | −8.25890e10 | + | 3.70967e11i | −0.150983 | + | 0.678175i | ||||
\(861\) | −3.14981e11 | + | 3.36423e11i | −0.573155 | + | 0.612172i | ||||
\(862\) | 2.29850e10 | − | 2.09013e11i | 0.0416309 | − | 0.378568i | ||||
\(863\) | 7.65179e10 | − | 4.41776e10i | 0.137949 | − | 0.0796452i | −0.429437 | − | 0.903097i | \(-0.641288\pi\) |
0.567386 | + | 0.823452i | \(0.307955\pi\) | |||||||
\(864\) | 5.13732e10 | + | 9.41386e10i | 0.0921896 | + | 0.168932i | ||||
\(865\) | −5.23304e10 | + | 9.06388e10i | −0.0934737 | + | 0.161901i | ||||
\(866\) | −3.06278e11 | − | 6.96913e11i | −0.544557 | − | 1.23910i | ||||
\(867\) | − | 1.53750e11i | − | 0.272106i | ||||||
\(868\) | 3.29953e10 | + | 4.35352e11i | 0.0581264 | + | 0.766940i | ||||
\(869\) | 1.42428e11 | 0.249756 | ||||||||
\(870\) | 3.73017e11 | − | 1.63933e11i | 0.651106 | − | 0.286147i | ||||
\(871\) | −5.33299e11 | − | 3.07900e11i | −0.926613 | − | 0.534980i | ||||
\(872\) | −2.87707e11 | + | 2.51631e11i | −0.497604 | + | 0.435210i | ||||
\(873\) | −7.00323e10 | − | 1.21300e11i | −0.120571 | − | 0.208834i | ||||
\(874\) | 6.98762e10 | + | 7.68425e9i | 0.119752 | + | 0.0131691i | ||||
\(875\) | −7.06968e10 | + | 3.03449e11i | −0.120606 | + | 0.517670i | ||||
\(876\) | −8.40015e10 | + | 3.77312e11i | −0.142650 | + | 0.640744i | ||||
\(877\) | −5.59088e11 | − | 9.68369e11i | −0.945109 | − | 1.63698i | −0.755533 | − | 0.655110i | \(-0.772622\pi\) |
−0.189575 | − | 0.981866i | \(-0.560711\pi\) | |||||||
\(878\) | −2.65908e11 | − | 1.95155e11i | −0.447460 | − | 0.328398i | ||||
\(879\) | −4.33106e10 | − | 2.50054e10i | −0.0725502 | − | 0.0418869i | ||||
\(880\) | −9.36168e11 | + | 8.02202e10i | −1.56107 | + | 0.133768i | ||||
\(881\) | 3.45444e11 | 0.573421 | 0.286711 | − | 0.958017i | \(-0.407438\pi\) | ||||
0.286711 | + | 0.958017i | \(0.407438\pi\) | |||||||
\(882\) | −1.78938e11 | + | 9.31293e10i | −0.295684 | + | 0.153891i | ||||
\(883\) | − | 2.62277e11i | − | 0.431437i | −0.976456 | − | 0.215719i | \(-0.930791\pi\) | ||
0.976456 | − | 0.215719i | \(-0.0692094\pi\) | |||||||
\(884\) | −1.31781e11 | − | 4.19260e11i | −0.215796 | − | 0.686554i | ||||
\(885\) | 4.14363e11 | − | 7.17698e11i | 0.675473 | − | 1.16995i | ||||
\(886\) | 7.91188e11 | + | 5.80666e11i | 1.28394 | + | 0.942306i | ||||
\(887\) | −9.74590e11 | + | 5.62680e11i | −1.57445 | + | 0.909006i | −0.578831 | + | 0.815447i | \(0.696491\pi\) |
−0.995614 | + | 0.0935591i | \(0.970176\pi\) | |||||||
\(888\) | −5.11792e10 | + | 1.50109e11i | −0.0823080 | + | 0.241409i | ||||
\(889\) | −1.87648e11 | − | 4.37177e10i | −0.300425 | − | 0.0699924i | ||||
\(890\) | −1.32168e12 | − | 1.45345e11i | −2.10653 | − | 0.231654i | ||||
\(891\) | 6.20237e10 | − | 3.58094e10i | 0.0984118 | − | 0.0568181i | ||||
\(892\) | 3.08837e11 | + | 2.83505e11i | 0.487832 | + | 0.447817i | ||||
\(893\) | 4.25304e11 | − | 7.36648e11i | 0.668796 | − | 1.15839i | ||||
\(894\) | −2.62903e11 | + | 1.15540e11i | −0.411572 | + | 0.180877i | ||||
\(895\) | − | 3.53068e11i | − | 0.550257i | ||||||
\(896\) | −5.74042e11 | − | 2.93041e11i | −0.890660 | − | 0.454670i | ||||
\(897\) | −5.28493e10 | −0.0816337 | ||||||||
\(898\) | −3.61347e11 | − | 8.22218e11i | −0.555672 | − | 1.26439i | ||||
\(899\) | −3.49848e11 | − | 2.01985e11i | −0.535601 | − | 0.309229i | ||||
\(900\) | 1.99209e11 | − | 2.17009e11i | 0.303626 | − | 0.330757i | ||||
\(901\) | −2.95469e11 | − | 5.11768e11i | −0.448346 | − | 0.776558i | ||||
\(902\) | −1.07490e11 | + | 9.77449e11i | −0.162383 | + | 1.47662i | ||||
\(903\) | 1.27086e11 | + | 1.18987e11i | 0.191139 | + | 0.178956i | ||||
\(904\) | 9.79677e8 | + | 3.34019e8i | 0.00146693 | + | 0.000500147i | ||||
\(905\) | −1.42353e11 | − | 2.46562e11i | −0.212212 | − | 0.367563i | ||||
\(906\) | 3.82096e11 | − | 5.20626e11i | 0.567100 | − | 0.772704i | ||||
\(907\) | −6.87189e11 | − | 3.96749e11i | −1.01542 | − | 0.586255i | −0.102648 | − | 0.994718i | \(-0.532732\pi\) |
−0.912775 | + | 0.408463i | \(0.866065\pi\) | |||||||
\(908\) | −2.36937e11 | + | 7.44734e10i | −0.348569 | + | 0.109561i | ||||
\(909\) | −6.38053e10 | −0.0934547 | ||||||||
\(910\) | −6.76806e11 | − | 7.89371e11i | −0.986957 | − | 1.15111i | ||||
\(911\) | − | 1.46096e11i | − | 0.212111i | −0.994360 | − | 0.106056i | \(-0.966178\pi\) | ||
0.994360 | − | 0.106056i | \(-0.0338221\pi\) | |||||||
\(912\) | −2.87576e10 | − | 3.35601e11i | −0.0415694 | − | 0.485114i | ||||
\(913\) | 6.27814e11 | − | 1.08741e12i | 0.903541 | − | 1.56498i | ||||
\(914\) | −7.05963e11 | + | 9.61912e11i | −1.01157 | + | 1.37832i | ||||
\(915\) | 1.04349e12 | − | 6.02458e11i | 1.48869 | − | 0.859494i | ||||
\(916\) | 2.86075e11 | + | 6.36892e10i | 0.406347 | + | 0.0904657i | ||||
\(917\) | −3.56117e11 | − | 1.17320e12i | −0.503635 | − | 1.65919i | ||||
\(918\) | 1.08631e10 | − | 9.87831e10i | 0.0152962 | − | 0.139095i | ||||
\(919\) | 1.37618e11 | − | 7.94535e10i | 0.192935 | − | 0.111391i | −0.400421 | − | 0.916331i | \(-0.631136\pi\) |
0.593356 | + | 0.804940i | \(0.297803\pi\) | |||||||
\(920\) | 1.03218e11 | + | 1.18016e11i | 0.144080 | + | 0.164736i | ||||
\(921\) | 1.39142e10 | − | 2.41002e10i | 0.0193384 | − | 0.0334951i | ||||
\(922\) | 1.29210e11 | + | 2.94008e11i | 0.178802 | + | 0.406851i | ||||
\(923\) | 1.12862e12i | 1.55504i | ||||||||
\(924\) | −1.86422e11 | + | 3.87947e11i | −0.255746 | + | 0.532212i | ||||
\(925\) | 4.35628e11 | 0.595043 | ||||||||
\(926\) | 8.55652e11 | − | 3.76040e11i | 1.16373 | − | 0.511435i | ||||
\(927\) | −4.11743e10 | − | 2.37720e10i | −0.0557581 | − | 0.0321919i | ||||
\(928\) | 5.23470e11 | − | 2.85668e11i | 0.705830 | − | 0.385185i | ||||
\(929\) | 2.01231e11 | + | 3.48542e11i | 0.270167 | + | 0.467943i | 0.968904 | − | 0.247435i | \(-0.0795878\pi\) |
−0.698738 | + | 0.715378i | \(0.746254\pi\) | |||||||
\(930\) | −5.05847e11 | − | 5.56277e10i | −0.676219 | − | 0.0743634i | ||||
\(931\) | 6.32194e11 | − | 4.16646e10i | 0.841496 | − | 0.0554585i | ||||
\(932\) | 8.00813e11 | + | 1.78286e11i | 1.06137 | + | 0.236295i | ||||
\(933\) | 2.39268e11 | + | 4.14425e11i | 0.315761 | + | 0.546914i | ||||
\(934\) | 7.42271e10 | + | 5.44765e10i | 0.0975382 | + | 0.0715849i | ||||
\(935\) | 7.54037e11 | + | 4.35344e11i | 0.986612 | + | 0.569621i | ||||
\(936\) | 4.90697e10 | + | 2.48428e11i | 0.0639308 | + | 0.323666i | ||||
\(937\) | −7.15820e11 | −0.928635 | −0.464318 | − | 0.885669i | \(-0.653700\pi\) | ||||
−0.464318 | + | 0.885669i | \(0.653700\pi\) | |||||||
\(938\) | 7.89387e11 | + | 2.77836e11i | 1.01971 | + | 0.358904i | ||||
\(939\) | − | 7.98014e11i | − | 1.02647i | ||||||
\(940\) | 1.80982e12 | − | 5.68859e11i | 2.31806 | − | 0.728607i | ||||
\(941\) | −4.50137e11 | + | 7.79661e11i | −0.574099 | + | 0.994368i | 0.422040 | + | 0.906577i | \(0.361314\pi\) |
−0.996139 | + | 0.0877908i | \(0.972019\pi\) | |||||||
\(942\) | −2.23708e11 | − | 1.64183e11i | −0.284104 | − | 0.208509i | ||||
\(943\) | 1.42101e11 | − | 8.20421e10i | 0.179701 | − | 0.103750i | ||||
\(944\) | 5.14566e11 | − | 1.09837e12i | 0.647967 | − | 1.38312i | ||||
\(945\) | −6.82935e10 | − | 2.24988e11i | −0.0856352 | − | 0.282119i | ||||
\(946\) | 3.69239e11 | + | 4.06050e10i | 0.461044 | + | 0.0507008i | ||||
\(947\) | −1.21981e12 | + | 7.04260e11i | −1.51668 | + | 0.875656i | −0.516872 | + | 0.856063i | \(0.672904\pi\) |
−0.999808 | + | 0.0195929i | \(0.993763\pi\) | |||||||
\(948\) | −7.70080e10 | + | 8.38890e10i | −0.0953460 | + | 0.103866i | ||||
\(949\) | −4.56367e11 | + | 7.90450e11i | −0.562664 | + | 0.974562i | ||||
\(950\) | −8.47025e11 | + | 3.72249e11i | −1.03992 | + | 0.457024i | ||||
\(951\) | 1.55831e11i | 0.190516i | ||||||||
\(952\) | 2.80928e11 | + | 5.27048e11i | 0.342017 | + | 0.641656i | ||||
\(953\) | −7.78613e11 | −0.943952 | −0.471976 | − | 0.881611i | \(-0.656459\pi\) | ||||
−0.471976 | + | 0.881611i | \(0.656459\pi\) | |||||||
\(954\) | 1.36994e11 | + | 3.11721e11i | 0.165390 | + | 0.376333i | ||||
\(955\) | −9.96755e11 | − | 5.75477e11i | −1.19833 | − | 0.691854i | ||||
\(956\) | −1.06128e12 | − | 9.74227e11i | −1.27057 | − | 1.16635i | ||||
\(957\) | −1.99123e11 | − | 3.44891e11i | −0.237396 | − | 0.411182i | ||||
\(958\) | −3.06601e10 | + | 2.78806e11i | −0.0364009 | + | 0.331009i | ||||
\(959\) | 7.21932e11 | + | 6.75919e11i | 0.853536 | + | 0.799135i | ||||
\(960\) | 4.58919e11 | − | 5.94770e11i | 0.540320 | − | 0.700267i | ||||
\(961\) | −1.74171e11 | − | 3.01672e11i | −0.204212 | − | 0.353706i | ||||
\(962\) | −2.21566e11 | + | 3.01895e11i | −0.258704 | + | 0.352497i | ||||
\(963\) | −5.45767e9 | − | 3.15098e9i | −0.00634602 | − | 0.00366388i | ||||
\(964\) | 3.62794e11 | + | 1.15423e12i | 0.420099 | + | 1.33654i | ||||
\(965\) | 1.86210e12 | 2.14731 | ||||||||
\(966\) | 7.05927e10 | − | 1.32235e10i | 0.0810683 | − | 0.0151858i | ||||
\(967\) | − | 1.20566e10i | − | 0.0137885i | −0.999976 | − | 0.00689426i | \(-0.997805\pi\) | ||
0.999976 | − | 0.00689426i | \(-0.00219453\pi\) | |||||||
\(968\) | 7.82082e9 | + | 3.95949e10i | 0.00890739 | + | 0.0450960i | ||||
\(969\) | −1.56064e11 | + | 2.70310e11i | −0.177014 | + | 0.306596i | ||||
\(970\) | −5.80513e11 | + | 7.90979e11i | −0.655730 | + | 0.893466i | ||||
\(971\) | 7.15677e11 | − | 4.13196e11i | 0.805082 | − | 0.464814i | −0.0401631 | − | 0.999193i | \(-0.512788\pi\) |
0.845245 | + | 0.534379i | \(0.179454\pi\) | |||||||
\(972\) | −1.24435e10 | + | 5.58930e10i | −0.0139405 | + | 0.0626170i | ||||
\(973\) | 9.48600e11 | + | 2.21003e11i | 1.05836 | + | 0.246573i | ||||
\(974\) | −1.47298e11 | + | 1.33945e12i | −0.163667 | + | 1.48830i | ||||
\(975\) | 6.02382e11 | − | 3.47786e11i | 0.666582 | − | 0.384851i | ||||
\(976\) | 1.44639e12 | − | 1.00893e12i | 1.59400 | − | 1.11189i | ||||
\(977\) | 6.83644e11 | − | 1.18411e12i | 0.750329 | − | 1.29961i | −0.197335 | − | 0.980336i | \(-0.563229\pi\) |
0.947663 | − | 0.319271i | \(-0.103438\pi\) | |||||||
\(978\) | 3.33448e10 | + | 7.58736e10i | 0.0364479 | + | 0.0829345i | ||||
\(979\) | 1.29962e12i | 1.41477i | ||||||||
\(980\) | 1.10154e12 | + | 8.85047e11i | 1.19426 | + | 0.959538i | ||||
\(981\) | −2.04082e11 | −0.220358 | ||||||||
\(982\) | 2.75579e10 | − | 1.21111e10i | 0.0296347 | − | 0.0130238i | ||||
\(983\) | 8.08558e11 | + | 4.66821e11i | 0.865959 | + | 0.499962i | 0.866003 | − | 0.500038i | \(-0.166681\pi\) |
−4.43895e−5 | 1.00000i | \(0.500014\pi\) | ||||||||
\(984\) | −5.17593e11 | − | 5.91798e11i | −0.552087 | − | 0.631238i | ||||
\(985\) | 8.99918e11 | + | 1.55870e12i | 0.956000 | + | 1.65584i | ||||
\(986\) | −5.49296e11 | − | 6.04058e10i | −0.581164 | − | 0.0639104i | ||||
\(987\) | 1.97186e11 | − | 8.46371e11i | 0.207781 | − | 0.891851i | ||||
\(988\) | 1.72835e11 | − | 7.76328e11i | 0.181386 | − | 0.814737i | ||||
\(989\) | −3.09920e10 | − | 5.36797e10i | −0.0323940 | − | 0.0561080i | ||||
\(990\) | −4.04449e11 | − | 2.96832e11i | −0.421040 | − | 0.309008i | ||||
\(991\) | 5.37575e11 | + | 3.10369e11i | 0.557371 | + | 0.321798i | 0.752090 | − | 0.659061i | \(-0.229046\pi\) |
−0.194718 | + | 0.980859i | \(0.562379\pi\) | |||||||
\(992\) | −7.44606e11 | − | 1.79099e10i | −0.768917 | − | 0.0184947i | ||||
\(993\) | −5.81028e11 | −0.597585 | ||||||||
\(994\) | −2.82394e11 | − | 1.50754e12i | −0.289274 | − | 1.54427i | ||||
\(995\) | − | 6.86385e11i | − | 0.700286i | ||||||
\(996\) | 3.01027e11 | + | 9.57717e11i | 0.305892 | + | 0.973195i | ||||
\(997\) | 2.22187e11 | − | 3.84839e11i | 0.224873 | − | 0.389492i | −0.731408 | − | 0.681940i | \(-0.761137\pi\) |
0.956281 | + | 0.292448i | \(0.0944699\pi\) | |||||||
\(998\) | 8.86734e10 | + | 6.50789e10i | 0.0893864 | + | 0.0656022i | ||||
\(999\) | −7.33339e10 | + | 4.23393e10i | −0.0736280 | + | 0.0425091i |
(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 | 84.9.l.a.67.12 | ✓ | 64 | |
4.3 | odd | 2 | 84.9.l.b.67.11 | yes | 64 | ||
7.2 | even | 3 | 84.9.l.b.79.11 | yes | 64 | ||
28.23 | odd | 6 | inner | 84.9.l.a.79.12 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.9.l.a.67.12 | ✓ | 64 | 1.1 | even | 1 | trivial | |
84.9.l.a.79.12 | yes | 64 | 28.23 | odd | 6 | inner | |
84.9.l.b.67.11 | yes | 64 | 4.3 | odd | 2 | ||
84.9.l.b.79.11 | yes | 64 | 7.2 | even | 3 |