Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.8.e.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.51754 | + | 2.73616i | −0.664463 | + | 0.241845i | ||||
\(3\) | −11.6345 | + | 65.9825i | −0.248784 | + | 1.41093i | 0.562753 | + | 0.826625i | \(0.309742\pi\) |
−0.811537 | + | 0.584301i | \(0.801369\pi\) | |||||||
\(4\) | 49.0268 | − | 41.1384i | 0.383022 | − | 0.321394i | ||||
\(5\) | −116.114 | − | 97.4309i | −0.415421 | − | 0.348580i | 0.410997 | − | 0.911637i | \(-0.365181\pi\) |
−0.826418 | + | 0.563057i | \(0.809625\pi\) | |||||||
\(6\) | −93.0759 | − | 527.860i | −0.175917 | − | 0.997675i | ||||
\(7\) | −468.313 | − | 811.141i | −0.516051 | − | 0.893827i | −0.999826 | − | 0.0186345i | \(-0.994068\pi\) |
0.483775 | − | 0.875192i | \(-0.339265\pi\) | |||||||
\(8\) | −256.000 | + | 443.405i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2163.22 | − | 787.347i | −0.989126 | − | 0.360013i | ||||
\(10\) | 1139.48 | + | 414.735i | 0.360334 | + | 0.131151i | ||||
\(11\) | 647.679 | − | 1121.81i | 0.146719 | − | 0.254124i | −0.783294 | − | 0.621651i | \(-0.786462\pi\) |
0.930013 | + | 0.367527i | \(0.119795\pi\) | |||||||
\(12\) | 2144.01 | + | 3713.54i | 0.358173 | + | 0.620374i | ||||
\(13\) | 492.820 | + | 2794.92i | 0.0622137 | + | 0.352832i | 0.999984 | + | 0.00557656i | \(0.00177508\pi\) |
−0.937771 | + | 0.347255i | \(0.887114\pi\) | |||||||
\(14\) | 5739.97 | + | 4816.41i | 0.559064 | + | 0.469111i | ||||
\(15\) | 7779.66 | − | 6527.91i | 0.595170 | − | 0.499407i | ||||
\(16\) | 711.263 | − | 4033.77i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 8114.94 | − | 2953.60i | 0.400603 | − | 0.145808i | −0.133858 | − | 0.991000i | \(-0.542737\pi\) |
0.534461 | + | 0.845193i | \(0.320514\pi\) | |||||||
\(18\) | 18416.4 | 0.744305 | ||||||||
\(19\) | 22173.6 | − | 20055.0i | 0.741648 | − | 0.670789i | ||||
\(20\) | −9700.84 | −0.271147 | ||||||||
\(21\) | 58969.7 | − | 21463.2i | 1.38951 | − | 0.505740i | ||||
\(22\) | −1799.49 | + | 10205.4i | −0.0360305 | + | 0.204339i | ||||
\(23\) | 16532.3 | − | 13872.2i | 0.283325 | − | 0.237738i | −0.490039 | − | 0.871701i | \(-0.663017\pi\) |
0.773363 | + | 0.633963i | \(0.218573\pi\) | |||||||
\(24\) | −26278.5 | − | 22050.3i | −0.388027 | − | 0.325593i | ||||
\(25\) | −9576.67 | − | 54312.0i | −0.122581 | − | 0.695193i | ||||
\(26\) | −11352.1 | − | 19662.5i | −0.126669 | − | 0.219398i | ||||
\(27\) | 3854.19 | − | 6675.65i | 0.0376843 | − | 0.0652711i | ||||
\(28\) | −56329.0 | − | 20502.1i | −0.484929 | − | 0.176500i | ||||
\(29\) | 141843. | + | 51626.5i | 1.07998 | + | 0.393079i | 0.819899 | − | 0.572508i | \(-0.194030\pi\) |
0.260078 | + | 0.965588i | \(0.416252\pi\) | |||||||
\(30\) | −40622.5 | + | 70360.2i | −0.274690 | + | 0.475776i | ||||
\(31\) | 10751.6 | + | 18622.4i | 0.0648200 | + | 0.112271i | 0.896614 | − | 0.442813i | \(-0.146019\pi\) |
−0.831794 | + | 0.555084i | \(0.812686\pi\) | |||||||
\(32\) | 5690.10 | + | 32270.2i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 66484.6 | + | 55787.2i | 0.322049 | + | 0.270231i | ||||
\(34\) | −52922.9 | + | 44407.6i | −0.230923 | + | 0.193768i | ||||
\(35\) | −24652.8 | + | 139813.i | −0.0971913 | + | 0.551199i | ||||
\(36\) | −138446. | + | 50390.2i | −0.494563 | + | 0.180006i | ||||
\(37\) | −112901. | −0.366431 | −0.183216 | − | 0.983073i | \(-0.558651\pi\) | ||||
−0.183216 | + | 0.983073i | \(0.558651\pi\) | |||||||
\(38\) | −111817. | + | 211435.i | −0.330571 | + | 0.625078i | ||||
\(39\) | −190149. | −0.513297 | ||||||||
\(40\) | 72926.5 | − | 26543.1i | 0.180167 | − | 0.0655754i | ||||
\(41\) | 90924.9 | − | 515661.i | 0.206034 | − | 1.16848i | −0.689770 | − | 0.724029i | \(-0.742288\pi\) |
0.895804 | − | 0.444450i | \(-0.146601\pi\) | |||||||
\(42\) | −384580. | + | 322701.i | −0.800967 | + | 0.672091i | ||||
\(43\) | −571973. | − | 479942.i | −1.09707 | − | 0.920554i | −0.0998491 | − | 0.995003i | \(-0.531836\pi\) |
−0.997225 | + | 0.0744482i | \(0.976280\pi\) | |||||||
\(44\) | −14395.9 | − | 81643.4i | −0.0254774 | − | 0.144490i | ||||
\(45\) | 174467. | + | 302186.i | 0.285411 | + | 0.494346i | ||||
\(46\) | −86325.3 | + | 149520.i | −0.130763 | + | 0.226489i | ||||
\(47\) | −959846. | − | 349355.i | −1.34853 | − | 0.490823i | −0.436038 | − | 0.899928i | \(-0.643619\pi\) |
−0.912487 | + | 0.409105i | \(0.865841\pi\) | |||||||
\(48\) | 257883. | + | 93861.8i | 0.336573 | + | 0.122502i | ||||
\(49\) | −26862.0 | + | 46526.3i | −0.0326176 | + | 0.0564953i | ||||
\(50\) | 220599. | + | 382089.i | 0.249580 | + | 0.432285i | ||||
\(51\) | 100472. | + | 569808.i | 0.106060 | + | 0.601496i | ||||
\(52\) | 139140. | + | 116752.i | 0.137227 | + | 0.115147i | ||||
\(53\) | 1.44200e6 | − | 1.20998e6i | 1.33045 | − | 1.11638i | 0.346483 | − | 0.938056i | \(-0.387376\pi\) |
0.983971 | − | 0.178327i | \(-0.0570686\pi\) | |||||||
\(54\) | −10708.4 | + | 60730.2i | −0.00925434 | + | 0.0524840i | ||||
\(55\) | −184504. | + | 67153.9i | −0.149533 | + | 0.0544254i | ||||
\(56\) | 479552. | 0.364903 | ||||||||
\(57\) | 1.06530e6 | + | 1.69640e6i | 0.761923 | + | 1.21329i | ||||
\(58\) | −1.20757e6 | −0.812668 | ||||||||
\(59\) | 1.22335e6 | − | 445264.i | 0.775479 | − | 0.282251i | 0.0761928 | − | 0.997093i | \(-0.475724\pi\) |
0.699286 | + | 0.714842i | \(0.253501\pi\) | |||||||
\(60\) | 112864. | − | 640086.i | 0.0674571 | − | 0.382568i | ||||
\(61\) | 558573. | − | 468699.i | 0.315084 | − | 0.264387i | −0.471506 | − | 0.881863i | \(-0.656289\pi\) |
0.786589 | + | 0.617476i | \(0.211845\pi\) | |||||||
\(62\) | −131780. | − | 110576.i | −0.0702227 | − | 0.0589239i | ||||
\(63\) | 374413. | + | 2.12340e6i | 0.188651 | + | 1.06989i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 215089. | − | 372544.i | 0.0971450 | − | 0.168260i | ||||
\(66\) | −652443. | − | 237470.i | −0.279344 | − | 0.101673i | ||||
\(67\) | −2.60229e6 | − | 947158.i | −1.05705 | − | 0.384734i | −0.245730 | − | 0.969338i | \(-0.579027\pi\) |
−0.811318 | + | 0.584604i | \(0.801250\pi\) | |||||||
\(68\) | 276344. | − | 478641.i | 0.106578 | − | 0.184599i | ||||
\(69\) | 722978. | + | 1.25224e6i | 0.264944 | + | 0.458896i | ||||
\(70\) | −197222. | − | 1.11850e6i | −0.0687246 | − | 0.389757i | ||||
\(71\) | −1.48264e6 | − | 1.24408e6i | −0.491621 | − | 0.412519i | 0.362986 | − | 0.931795i | \(-0.381757\pi\) |
−0.854607 | + | 0.519276i | \(0.826202\pi\) | |||||||
\(72\) | 902898. | − | 757621.i | 0.285085 | − | 0.239215i | ||||
\(73\) | 709763. | − | 4.02527e6i | 0.213542 | − | 1.21106i | −0.669876 | − | 0.742473i | \(-0.733653\pi\) |
0.883418 | − | 0.468585i | \(-0.155236\pi\) | |||||||
\(74\) | 848740. | − | 308916.i | 0.243480 | − | 0.0886195i | ||||
\(75\) | 3.69506e6 | 1.01136 | ||||||||
\(76\) | 262068. | − | 1.89542e6i | 0.0684804 | − | 0.495288i | ||||
\(77\) | −1.21327e6 | −0.302857 | ||||||||
\(78\) | 1.42946e6 | − | 520279.i | 0.341067 | − | 0.124138i | ||||
\(79\) | −23228.7 | + | 131737.i | −0.00530067 | + | 0.0300616i | −0.987343 | − | 0.158597i | \(-0.949303\pi\) |
0.982043 | + | 0.188659i | \(0.0604140\pi\) | |||||||
\(80\) | −475602. | + | 399077.i | −0.103855 | + | 0.0871449i | ||||
\(81\) | −3.46108e6 | − | 2.90419e6i | −0.723626 | − | 0.607194i | ||||
\(82\) | 727400. | + | 4.12529e6i | 0.145688 | + | 0.826239i | ||||
\(83\) | 4.43083e6 | + | 7.67442e6i | 0.850573 | + | 1.47324i | 0.880692 | + | 0.473690i | \(0.157078\pi\) |
−0.0301185 | + | 0.999546i | \(0.509588\pi\) | |||||||
\(84\) | 2.00814e6 | − | 3.47819e6i | 0.369671 | − | 0.640289i | ||||
\(85\) | −1.23003e6 | − | 447694.i | −0.217244 | − | 0.0790705i | ||||
\(86\) | 5.61303e6 | + | 2.04298e6i | 0.951596 | + | 0.346353i | ||||
\(87\) | −5.05672e6 | + | 8.75849e6i | −0.823287 | + | 1.42597i | ||||
\(88\) | 331612. | + | 574368.i | 0.0518729 | + | 0.0898465i | ||||
\(89\) | −182210. | − | 1.03336e6i | −0.0273972 | − | 0.155377i | 0.968040 | − | 0.250796i | \(-0.0806922\pi\) |
−0.995437 | + | 0.0954184i | \(0.969581\pi\) | |||||||
\(90\) | −2.13840e6 | − | 1.79433e6i | −0.309200 | − | 0.259450i | ||||
\(91\) | 2.03628e6 | − | 1.70864e6i | 0.283265 | − | 0.237687i | ||||
\(92\) | 239844. | − | 1.36022e6i | 0.0321123 | − | 0.182118i | ||||
\(93\) | −1.35384e6 | + | 492758.i | −0.174533 | + | 0.0635248i | ||||
\(94\) | 8.17157e6 | 1.01475 | ||||||||
\(95\) | −4.52864e6 | + | 168272.i | −0.541920 | + | 0.0201363i | ||||
\(96\) | −2.19547e6 | −0.253267 | ||||||||
\(97\) | −1.19138e7 | + | 4.33627e6i | −1.32541 | + | 0.482409i | −0.905187 | − | 0.425013i | \(-0.860270\pi\) |
−0.420221 | + | 0.907422i | \(0.638047\pi\) | |||||||
\(98\) | 74632.6 | − | 423263.i | 0.00801009 | − | 0.0454275i | ||||
\(99\) | −2.28433e6 | + | 1.91678e6i | −0.236611 | + | 0.198540i | ||||
\(100\) | −2.70382e6 | − | 2.26878e6i | −0.270382 | − | 0.226878i | ||||
\(101\) | 1.29997e6 | + | 7.37252e6i | 0.125548 | + | 0.712018i | 0.980981 | + | 0.194105i | \(0.0621801\pi\) |
−0.855433 | + | 0.517914i | \(0.826709\pi\) | |||||||
\(102\) | −2.31439e6 | − | 4.00864e6i | −0.215942 | − | 0.374022i | ||||
\(103\) | −1.48195e6 | + | 2.56681e6i | −0.133630 | + | 0.231453i | −0.925073 | − | 0.379789i | \(-0.875997\pi\) |
0.791443 | + | 0.611242i | \(0.209330\pi\) | |||||||
\(104\) | −1.36544e6 | − | 496981.i | −0.119030 | − | 0.0433234i | ||||
\(105\) | −8.93837e6 | − | 3.25330e6i | −0.753522 | − | 0.274259i | ||||
\(106\) | −7.52959e6 | + | 1.30416e7i | −0.614046 | + | 1.06356i | ||||
\(107\) | −2.69688e6 | − | 4.67113e6i | −0.212823 | − | 0.368620i | 0.739774 | − | 0.672855i | \(-0.234932\pi\) |
−0.952597 | + | 0.304235i | \(0.901599\pi\) | |||||||
\(108\) | −85667.0 | − | 485842.i | −0.00654380 | − | 0.0371118i | ||||
\(109\) | −1.46982e7 | − | 1.23332e7i | −1.08710 | − | 0.912188i | −0.0906123 | − | 0.995886i | \(-0.528882\pi\) |
−0.996491 | + | 0.0836981i | \(0.973327\pi\) | |||||||
\(110\) | 1.20327e6 | − | 1.00966e6i | 0.0861963 | − | 0.0723273i | ||||
\(111\) | 1.31355e6 | − | 7.44951e6i | 0.0911624 | − | 0.517008i | ||||
\(112\) | −3.60505e6 | + | 1.31213e6i | −0.242465 | + | 0.0882499i | ||||
\(113\) | 2.34480e7 | 1.52873 | 0.764366 | − | 0.644783i | \(-0.223052\pi\) | ||||
0.764366 | + | 0.644783i | \(0.223052\pi\) | |||||||
\(114\) | −1.26501e7 | − | 9.83790e6i | −0.799698 | − | 0.621921i | ||||
\(115\) | −3.27120e6 | −0.200570 | ||||||||
\(116\) | 9.07794e6 | − | 3.30410e6i | 0.539988 | − | 0.196540i | ||||
\(117\) | 1.13450e6 | − | 6.43404e6i | 0.0654866 | − | 0.371393i | ||||
\(118\) | −7.97830e6 | + | 6.69459e6i | −0.447016 | + | 0.375091i | ||||
\(119\) | −6.19612e6 | − | 5.19916e6i | −0.337058 | − | 0.282826i | ||||
\(120\) | 902915. | + | 5.12069e6i | 0.0476994 | + | 0.270516i | ||||
\(121\) | 8.90461e6 | + | 1.54232e7i | 0.456947 | + | 0.791456i | ||||
\(122\) | −2.91666e6 | + | 5.05181e6i | −0.145421 | + | 0.251876i | ||||
\(123\) | 3.29667e7 | + | 1.19989e7i | 1.59738 | + | 0.581398i | ||||
\(124\) | 1.29321e6 | + | 470691.i | 0.0609108 | + | 0.0221697i | ||||
\(125\) | −1.01006e7 | + | 1.74948e7i | −0.462554 | + | 0.801167i | ||||
\(126\) | −8.62463e6 | − | 1.49383e7i | −0.384099 | − | 0.665280i | ||||
\(127\) | 6.56395e6 | + | 3.72260e7i | 0.284349 | + | 1.61262i | 0.707601 | + | 0.706612i | \(0.249777\pi\) |
−0.423252 | + | 0.906012i | \(0.639111\pi\) | |||||||
\(128\) | 1.60651e6 | + | 1.34802e6i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 3.83224e7 | − | 3.21563e7i | 1.57177 | − | 1.31887i | ||||
\(130\) | −597596. | + | 3.38913e6i | −0.0238564 | + | 0.135297i | ||||
\(131\) | 4.56859e7 | − | 1.66283e7i | 1.77555 | − | 0.646248i | 0.775665 | − | 0.631145i | \(-0.217415\pi\) |
0.999886 | − | 0.0151024i | \(-0.00480743\pi\) | |||||||
\(132\) | 5.55453e6 | 0.210203 | ||||||||
\(133\) | −2.66516e7 | − | 8.59387e6i | −0.982298 | − | 0.316744i | ||||
\(134\) | 2.21544e7 | 0.795415 | ||||||||
\(135\) | −1.09794e6 | + | 399617.i | −0.0384070 | + | 0.0139790i | ||||
\(136\) | −767786. | + | 4.35433e6i | −0.0261730 | + | 0.148435i | ||||
\(137\) | 1.64056e6 | − | 1.37659e6i | 0.0545091 | − | 0.0457386i | −0.615126 | − | 0.788429i | \(-0.710895\pi\) |
0.669635 | + | 0.742690i | \(0.266450\pi\) | |||||||
\(138\) | −8.86134e6 | − | 7.43555e6i | −0.287027 | − | 0.240844i | ||||
\(139\) | −3.52015e6 | − | 1.99638e7i | −0.111176 | − | 0.630508i | −0.988573 | − | 0.150744i | \(-0.951833\pi\) |
0.877397 | − | 0.479764i | \(-0.159278\pi\) | |||||||
\(140\) | 4.54303e6 | + | 7.86875e6i | 0.139926 | + | 0.242358i | ||||
\(141\) | 3.42187e7 | − | 5.92685e7i | 1.02801 | − | 1.78056i | ||||
\(142\) | 1.45498e7 | + | 5.29569e6i | 0.426430 | + | 0.155208i | ||||
\(143\) | 3.45457e6 | + | 1.25736e6i | 0.0987910 | + | 0.0359570i | ||||
\(144\) | −4.71460e6 | + | 8.16592e6i | −0.131576 | + | 0.227896i | ||||
\(145\) | −1.14399e7 | − | 1.98144e7i | −0.311625 | − | 0.539751i | ||||
\(146\) | 5.67811e6 | + | 3.22021e7i | 0.150997 | + | 0.856347i | ||||
\(147\) | −2.75740e6 | − | 2.31373e6i | −0.0715960 | − | 0.0600762i | ||||
\(148\) | −5.53519e6 | + | 4.64458e6i | −0.140351 | + | 0.117769i | ||||
\(149\) | 6.82922e6 | − | 3.87304e7i | 0.169129 | − | 0.959181i | −0.775574 | − | 0.631256i | \(-0.782540\pi\) |
0.944704 | − | 0.327925i | \(-0.106349\pi\) | |||||||
\(150\) | −2.77778e7 | + | 1.01103e7i | −0.672013 | + | 0.244593i | ||||
\(151\) | −4.04030e7 | −0.954980 | −0.477490 | − | 0.878637i | \(-0.658453\pi\) | ||||
−0.477490 | + | 0.878637i | \(0.658453\pi\) | |||||||
\(152\) | 3.21607e6 | + | 1.49660e7i | 0.0742801 | + | 0.345662i | ||||
\(153\) | −1.98799e7 | −0.448740 | ||||||||
\(154\) | 9.12077e6 | − | 3.31969e6i | 0.201238 | − | 0.0732445i | ||||
\(155\) | 565984. | − | 3.20986e6i | 0.0122080 | − | 0.0692348i | ||||
\(156\) | −9.32243e6 | + | 7.82244e6i | −0.196604 | + | 0.164971i | ||||
\(157\) | −4.91959e7 | − | 4.12802e7i | −1.01457 | − | 0.851321i | −0.0256304 | − | 0.999671i | \(-0.508159\pi\) |
−0.988935 | + | 0.148350i | \(0.952604\pi\) | |||||||
\(158\) | −185830. | − | 1.05389e6i | −0.00374814 | − | 0.0212567i | ||||
\(159\) | 6.30607e7 | + | 1.09224e8i | 1.24414 | + | 2.15491i | ||||
\(160\) | 2.48342e6 | − | 4.30140e6i | 0.0479324 | − | 0.0830214i | ||||
\(161\) | −1.89946e7 | − | 6.91346e6i | −0.358707 | − | 0.130559i | ||||
\(162\) | 3.39651e7 | + | 1.23623e7i | 0.627669 | + | 0.228453i | ||||
\(163\) | −2.32279e7 | + | 4.02319e7i | −0.420101 | + | 0.727636i | −0.995949 | − | 0.0899206i | \(-0.971339\pi\) |
0.575848 | + | 0.817557i | \(0.304672\pi\) | |||||||
\(164\) | −1.67557e7 | − | 2.90217e7i | −0.296626 | − | 0.513771i | ||||
\(165\) | −2.28437e6 | − | 1.29553e7i | −0.0395889 | − | 0.224520i | ||||
\(166\) | −5.43074e7 | − | 4.55693e7i | −0.921469 | − | 0.773204i | ||||
\(167\) | −5.73147e7 | + | 4.80927e7i | −0.952265 | + | 0.799046i | −0.979678 | − | 0.200579i | \(-0.935718\pi\) |
0.0274122 | + | 0.999624i | \(0.491273\pi\) | |||||||
\(168\) | −5.57935e6 | + | 3.16420e7i | −0.0907822 | + | 0.514852i | ||||
\(169\) | 5.13956e7 | − | 1.87065e7i | 0.819073 | − | 0.298118i | ||||
\(170\) | 1.04717e7 | 0.163474 | ||||||||
\(171\) | −6.37566e7 | + | 2.59251e7i | −0.975076 | + | 0.396492i | ||||
\(172\) | −4.77861e7 | −0.716064 | ||||||||
\(173\) | 1.06453e7 | − | 3.87457e6i | 0.156313 | − | 0.0568934i | −0.262678 | − | 0.964883i | \(-0.584606\pi\) |
0.418992 | + | 0.907990i | \(0.362384\pi\) | |||||||
\(174\) | 1.40494e7 | − | 7.96783e7i | 0.202179 | − | 1.14662i | ||||
\(175\) | −3.95698e7 | + | 3.32030e7i | −0.558124 | + | 0.468322i | ||||
\(176\) | −4.06447e6 | − | 3.41049e6i | −0.0561965 | − | 0.0471545i | ||||
\(177\) | 1.51466e7 | + | 8.59004e7i | 0.205309 | + | 1.16436i | ||||
\(178\) | 4.19721e6 | + | 7.26979e6i | 0.0557816 | + | 0.0966166i | ||||
\(179\) | 1.46998e7 | − | 2.54609e7i | 0.191570 | − | 0.331809i | −0.754201 | − | 0.656644i | \(-0.771975\pi\) |
0.945771 | + | 0.324835i | \(0.105309\pi\) | |||||||
\(180\) | 2.09850e7 | + | 7.63793e6i | 0.268198 | + | 0.0976162i | ||||
\(181\) | 3.84993e7 | + | 1.40126e7i | 0.482590 | + | 0.175648i | 0.571847 | − | 0.820360i | \(-0.306227\pi\) |
−0.0892571 | + | 0.996009i | \(0.528449\pi\) | |||||||
\(182\) | −1.06327e7 | + | 1.84164e7i | −0.130736 | + | 0.226441i | ||||
\(183\) | 2.44272e7 | + | 4.23091e7i | 0.294642 | + | 0.510335i | ||||
\(184\) | 1.91875e6 | + | 1.08818e7i | 0.0227068 | + | 0.128777i | ||||
\(185\) | 1.31094e7 | + | 1.10001e7i | 0.152223 | + | 0.127731i | ||||
\(186\) | 8.82929e6 | − | 7.40866e6i | 0.100608 | − | 0.0844198i | ||||
\(187\) | 1.94249e6 | − | 1.10164e7i | 0.0217227 | − | 0.123196i | ||||
\(188\) | −6.14301e7 | + | 2.23587e7i | −0.674263 | + | 0.245412i | ||||
\(189\) | −7.21987e6 | −0.0777880 | ||||||||
\(190\) | 3.35838e7 | − | 1.36561e7i | 0.355216 | − | 0.144440i | ||||
\(191\) | −1.02919e8 | −1.06875 | −0.534376 | − | 0.845247i | \(-0.679453\pi\) | ||||
−0.534376 | + | 0.845247i | \(0.679453\pi\) | |||||||
\(192\) | 1.65045e7 | − | 6.00715e6i | 0.168286 | − | 0.0612512i | ||||
\(193\) | 2.35211e6 | − | 1.33395e7i | 0.0235509 | − | 0.133564i | −0.970765 | − | 0.240030i | \(-0.922843\pi\) |
0.994316 | + | 0.106467i | \(0.0339537\pi\) | |||||||
\(194\) | 7.76978e7 | − | 6.51962e7i | 0.764017 | − | 0.641086i | ||||
\(195\) | 2.20789e7 | + | 1.85264e7i | 0.213234 | + | 0.178925i | ||||
\(196\) | 597061. | + | 3.38610e6i | 0.00566399 | + | 0.0321221i | ||||
\(197\) | 3.57675e7 | + | 6.19512e7i | 0.333317 | + | 0.577322i | 0.983160 | − | 0.182747i | \(-0.0584988\pi\) |
−0.649843 | + | 0.760068i | \(0.725165\pi\) | |||||||
\(198\) | 1.19279e7 | − | 2.06598e7i | 0.109203 | − | 0.189146i | ||||
\(199\) | −1.08058e8 | − | 3.93299e7i | −0.972010 | − | 0.353783i | −0.193281 | − | 0.981143i | \(-0.561913\pi\) |
−0.778729 | + | 0.627361i | \(0.784135\pi\) | |||||||
\(200\) | 2.65338e7 | + | 9.65752e6i | 0.234528 | + | 0.0853613i | ||||
\(201\) | 9.27722e7 | − | 1.60686e8i | 0.805808 | − | 1.39570i | ||||
\(202\) | −2.99450e7 | − | 5.18663e7i | −0.255620 | − | 0.442747i | ||||
\(203\) | −2.45503e7 | − | 1.39232e8i | −0.205978 | − | 1.16816i | ||||
\(204\) | 2.83668e7 | + | 2.38026e7i | 0.233940 | + | 0.196299i | ||||
\(205\) | −6.07990e7 | + | 5.10164e7i | −0.492899 | + | 0.413591i | ||||
\(206\) | 4.11740e6 | − | 2.33510e7i | 0.0328162 | − | 0.186110i | ||||
\(207\) | −4.66851e7 | + | 1.69920e7i | −0.365833 | + | 0.133152i | ||||
\(208\) | 1.16246e7 | 0.0895687 | ||||||||
\(209\) | −8.13664e6 | − | 3.78638e7i | −0.0616500 | − | 0.286888i | ||||
\(210\) | 7.60961e7 | 0.567016 | ||||||||
\(211\) | −1.30624e8 | + | 4.75431e7i | −0.957266 | + | 0.348416i | −0.772962 | − | 0.634453i | \(-0.781226\pi\) |
−0.184305 | + | 0.982869i | \(0.559003\pi\) | |||||||
\(212\) | 2.09200e7 | − | 1.18643e8i | 0.150795 | − | 0.855200i | ||||
\(213\) | 9.93372e7 | − | 8.33538e7i | 0.704341 | − | 0.591013i | ||||
\(214\) | 3.30549e7 | + | 2.77363e7i | 0.230562 | + | 0.193464i | ||||
\(215\) | 1.96527e7 | + | 1.11456e8i | 0.134861 | + | 0.764835i | ||||
\(216\) | 1.97335e6 | + | 3.41794e6i | 0.0133234 | + | 0.0230768i | ||||
\(217\) | 1.00703e7 | − | 1.74422e7i | 0.0669008 | − | 0.115876i | ||||
\(218\) | 1.44240e8 | + | 5.24990e7i | 0.942948 | + | 0.343205i | ||||
\(219\) | 2.57339e8 | + | 9.36639e7i | 1.65559 | + | 0.602584i | ||||
\(220\) | −6.28303e6 | + | 1.08825e7i | −0.0397823 | + | 0.0689050i | ||||
\(221\) | 1.22543e7 | + | 2.12250e7i | 0.0763686 | + | 0.132274i | ||||
\(222\) | 1.05084e7 | + | 5.95960e7i | 0.0644616 | + | 0.365580i | ||||
\(223\) | 7.39336e7 | + | 6.20377e7i | 0.446452 | + | 0.374618i | 0.838117 | − | 0.545490i | \(-0.183656\pi\) |
−0.391665 | + | 0.920108i | \(0.628101\pi\) | |||||||
\(224\) | 2.35109e7 | − | 1.97280e7i | 0.139766 | − | 0.117278i | ||||
\(225\) | −2.20460e7 | + | 1.25029e8i | −0.129030 | + | 0.731765i | ||||
\(226\) | −1.76271e8 | + | 6.41575e7i | −1.01579 | + | 0.369716i | ||||
\(227\) | −2.34912e8 | −1.33295 | −0.666476 | − | 0.745526i | \(-0.732198\pi\) | ||||
−0.666476 | + | 0.745526i | \(0.732198\pi\) | |||||||
\(228\) | 1.22016e8 | + | 3.93442e7i | 0.681778 | + | 0.219841i | ||||
\(229\) | 6.12094e7 | 0.336817 | 0.168408 | − | 0.985717i | \(-0.446137\pi\) | ||||
0.168408 | + | 0.985717i | \(0.446137\pi\) | |||||||
\(230\) | 2.45914e7 | − | 8.95054e6i | 0.133271 | − | 0.0485067i | ||||
\(231\) | 1.41157e7 | − | 8.00543e7i | 0.0753462 | − | 0.427309i | ||||
\(232\) | −5.92032e7 | + | 4.96774e7i | −0.311270 | + | 0.261187i | ||||
\(233\) | −5.81584e7 | − | 4.88007e7i | −0.301208 | − | 0.252744i | 0.479639 | − | 0.877466i | \(-0.340768\pi\) |
−0.780847 | + | 0.624722i | \(0.785212\pi\) | |||||||
\(234\) | 9.07596e6 | + | 5.14723e7i | 0.0463060 | + | 0.262614i | ||||
\(235\) | 7.74132e7 | + | 1.34084e8i | 0.389115 | + | 0.673967i | ||||
\(236\) | 4.16597e7 | − | 7.21567e7i | 0.206312 | − | 0.357343i | ||||
\(237\) | −8.42206e6 | − | 3.06538e6i | −0.0410959 | − | 0.0149577i | ||||
\(238\) | 6.08053e7 | + | 2.21313e7i | 0.292363 | + | 0.106411i | ||||
\(239\) | 7.50815e7 | − | 1.30045e8i | 0.355746 | − | 0.616170i | −0.631499 | − | 0.775376i | \(-0.717560\pi\) |
0.987245 | + | 0.159206i | \(0.0508935\pi\) | |||||||
\(240\) | −2.07987e7 | − | 3.60244e7i | −0.0971174 | − | 0.168212i | ||||
\(241\) | −5.52183e7 | − | 3.13158e8i | −0.254111 | − | 1.44113i | −0.798345 | − | 0.602200i | \(-0.794291\pi\) |
0.544234 | − | 0.838933i | \(-0.316820\pi\) | |||||||
\(242\) | −1.09141e8 | − | 9.15804e7i | −0.495034 | − | 0.415383i | ||||
\(243\) | 2.44808e8 | − | 2.05418e8i | 1.09447 | − | 0.918368i | ||||
\(244\) | 8.10357e6 | − | 4.59576e7i | 0.0357118 | − | 0.202532i | ||||
\(245\) | 7.65215e6 | − | 2.78516e6i | 0.0332432 | − | 0.0120995i | ||||
\(246\) | −2.80660e8 | −1.20201 | ||||||||
\(247\) | 6.69798e7 | + | 5.20898e7i | 0.282816 | + | 0.219945i | ||||
\(248\) | −1.10097e7 | −0.0458346 | ||||||||
\(249\) | −5.57928e8 | + | 2.03069e8i | −2.29024 | + | 0.833578i | ||||
\(250\) | 2.80632e7 | − | 1.59155e8i | 0.113592 | − | 0.644212i | ||||
\(251\) | 2.78849e8 | − | 2.33982e8i | 1.11304 | − | 0.933951i | 0.114807 | − | 0.993388i | \(-0.463375\pi\) |
0.998232 | + | 0.0594370i | \(0.0189305\pi\) | |||||||
\(252\) | 1.05710e8 | + | 8.87009e7i | 0.416114 | + | 0.349161i | ||||
\(253\) | −4.85443e6 | − | 2.75308e7i | −0.0188459 | − | 0.106880i | ||||
\(254\) | −1.51201e8 | − | 2.61888e8i | −0.578944 | − | 1.00276i | ||||
\(255\) | 4.38507e7 | − | 7.59516e7i | 0.165610 | − | 0.286844i | ||||
\(256\) | −1.57654e7 | − | 5.73815e6i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 4.30528e8 | + | 1.56700e8i | 1.58211 | + | 0.575840i | 0.975661 | − | 0.219284i | \(-0.0703722\pi\) |
0.606446 | + | 0.795124i | \(0.292594\pi\) | |||||||
\(258\) | −2.00105e8 | + | 3.46593e8i | −0.725420 | + | 1.25647i | ||||
\(259\) | 5.28731e7 | + | 9.15789e7i | 0.189097 | + | 0.327526i | ||||
\(260\) | −4.78077e6 | − | 2.71131e7i | −0.0168691 | − | 0.0956692i | ||||
\(261\) | −2.66189e8 | − | 2.23359e8i | −0.926720 | − | 0.777610i | ||||
\(262\) | −2.97948e8 | + | 2.50008e8i | −1.02350 | + | 0.858815i | ||||
\(263\) | −8.63802e7 | + | 4.89887e8i | −0.292799 | + | 1.66054i | 0.383218 | + | 0.923658i | \(0.374816\pi\) |
−0.676017 | + | 0.736886i | \(0.736295\pi\) | |||||||
\(264\) | −4.17564e7 | + | 1.51981e7i | −0.139672 | + | 0.0508364i | ||||
\(265\) | −2.85326e8 | −0.941847 | ||||||||
\(266\) | 2.23869e8 | − | 8.31836e6i | 0.729303 | − | 0.0270989i | ||||
\(267\) | 7.03037e7 | 0.226042 | ||||||||
\(268\) | −1.66547e8 | + | 6.06181e7i | −0.528524 | + | 0.192367i | ||||
\(269\) | −7.62673e7 | + | 4.32533e8i | −0.238894 | + | 1.35483i | 0.595362 | + | 0.803458i | \(0.297009\pi\) |
−0.834256 | + | 0.551377i | \(0.814102\pi\) | |||||||
\(270\) | 7.16039e6 | − | 6.00828e6i | 0.0221393 | − | 0.0185771i | ||||
\(271\) | 6.00836e7 | + | 5.04161e7i | 0.183385 | + | 0.153878i | 0.729859 | − | 0.683598i | \(-0.239586\pi\) |
−0.546474 | + | 0.837476i | \(0.684030\pi\) | |||||||
\(272\) | −6.14228e6 | − | 3.48346e7i | −0.0185071 | − | 0.104959i | ||||
\(273\) | 8.90494e7 | + | 1.54238e8i | 0.264888 | + | 0.458799i | ||||
\(274\) | −8.56637e6 | + | 1.48374e7i | −0.0251576 | + | 0.0435743i | ||||
\(275\) | −6.71305e7 | − | 2.44335e7i | −0.194650 | − | 0.0708470i | ||||
\(276\) | 8.69603e7 | + | 3.16510e7i | 0.248966 | + | 0.0906161i | ||||
\(277\) | 2.47026e8 | − | 4.27862e8i | 0.698336 | − | 1.20955i | −0.270708 | − | 0.962662i | \(-0.587258\pi\) |
0.969043 | − | 0.246891i | \(-0.0794090\pi\) | |||||||
\(278\) | 8.10869e7 | + | 1.40447e8i | 0.226357 | + | 0.392062i | ||||
\(279\) | −8.59587e6 | − | 4.87496e7i | −0.0236960 | − | 0.134387i | ||||
\(280\) | −5.56826e7 | − | 4.67232e7i | −0.151588 | − | 0.127198i | ||||
\(281\) | −1.39521e7 | + | 1.17072e7i | −0.0375119 | + | 0.0314762i | −0.661351 | − | 0.750077i | \(-0.730017\pi\) |
0.623839 | + | 0.781553i | \(0.285572\pi\) | |||||||
\(282\) | −9.50721e7 | + | 5.39181e8i | −0.252453 | + | 1.43173i | ||||
\(283\) | 5.76479e8 | − | 2.09821e8i | 1.51193 | − | 0.550296i | 0.552810 | − | 0.833307i | \(-0.313556\pi\) |
0.959117 | + | 0.283011i | \(0.0913333\pi\) | |||||||
\(284\) | −1.23868e8 | −0.320883 | ||||||||
\(285\) | 4.15854e7 | − | 3.00768e8i | 0.106410 | − | 0.769618i | ||||
\(286\) | −2.94102e7 | −0.0743390 | ||||||||
\(287\) | −4.60855e8 | + | 1.67738e8i | −1.15074 | + | 0.418836i | ||||
\(288\) | 1.30989e7 | − | 7.42876e7i | 0.0323118 | − | 0.183249i | ||||
\(289\) | −2.57209e8 | + | 2.15824e8i | −0.626821 | + | 0.525966i | ||||
\(290\) | 1.40215e8 | + | 1.17654e8i | 0.337600 | + | 0.283280i | ||||
\(291\) | −1.47507e8 | − | 8.36553e8i | −0.350903 | − | 1.99007i | ||||
\(292\) | −1.30796e8 | − | 2.26545e8i | −0.307435 | − | 0.532493i | ||||
\(293\) | −1.34648e8 | + | 2.33217e8i | −0.312725 | + | 0.541655i | −0.978951 | − | 0.204094i | \(-0.934575\pi\) |
0.666226 | + | 0.745750i | \(0.267908\pi\) | |||||||
\(294\) | 2.70596e7 | + | 9.84889e6i | 0.0621020 | + | 0.0226033i | ||||
\(295\) | −1.85431e8 | − | 6.74912e7i | −0.420537 | − | 0.153063i | ||||
\(296\) | 2.89027e7 | − | 5.00610e7i | 0.0647765 | − | 0.112196i | ||||
\(297\) | −4.99256e6 | − | 8.64736e6i | −0.0110580 | − | 0.0191530i | ||||
\(298\) | 5.46338e7 | + | 3.09844e8i | 0.119593 | + | 0.678243i | ||||
\(299\) | 4.69191e7 | + | 3.93698e7i | 0.101508 | + | 0.0851754i | ||||
\(300\) | 1.81157e8 | − | 1.52009e8i | 0.387374 | − | 0.325046i | ||||
\(301\) | −1.21439e8 | + | 6.88714e8i | −0.256670 | + | 1.45565i | ||||
\(302\) | 3.03731e8 | − | 1.10549e8i | 0.634549 | − | 0.230957i | ||||
\(303\) | −5.01582e8 | −1.03584 | ||||||||
\(304\) | −6.51262e7 | − | 1.03708e8i | −0.132953 | − | 0.211716i | ||||
\(305\) | −1.10524e8 | −0.223052 | ||||||||
\(306\) | 1.49448e8 | − | 5.43946e7i | 0.298171 | − | 0.108525i | ||||
\(307\) | 5.04143e7 | − | 2.85914e8i | 0.0994420 | − | 0.563963i | −0.893853 | − | 0.448359i | \(-0.852009\pi\) |
0.993295 | − | 0.115604i | \(-0.0368804\pi\) | |||||||
\(308\) | −5.94826e7 | + | 4.99118e7i | −0.116001 | + | 0.0973365i | ||||
\(309\) | −1.52123e8 | − | 1.27646e8i | −0.293319 | − | 0.246124i | ||||
\(310\) | 4.52787e6 | + | 2.56788e7i | 0.00863234 | + | 0.0489564i | ||||
\(311\) | −9.99800e7 | − | 1.73170e8i | −0.188474 | − | 0.326447i | 0.756268 | − | 0.654262i | \(-0.227021\pi\) |
−0.944742 | + | 0.327816i | \(0.893687\pi\) | |||||||
\(312\) | 4.86783e7 | − | 8.43132e7i | 0.0907390 | − | 0.157165i | ||||
\(313\) | 4.71547e8 | + | 1.71629e8i | 0.869200 | + | 0.316363i | 0.737843 | − | 0.674972i | \(-0.235844\pi\) |
0.131357 | + | 0.991335i | \(0.458067\pi\) | |||||||
\(314\) | 4.82782e8 | + | 1.75718e8i | 0.880029 | + | 0.320304i | ||||
\(315\) | 1.63411e8 | − | 2.83035e8i | 0.294573 | − | 0.510216i | ||||
\(316\) | 4.28060e6 | + | 7.41423e6i | 0.00763133 | + | 0.0132179i | ||||
\(317\) | −3.63831e7 | − | 2.06339e8i | −0.0641494 | − | 0.363809i | −0.999937 | − | 0.0112444i | \(-0.996421\pi\) |
0.935787 | − | 0.352565i | \(-0.114690\pi\) | |||||||
\(318\) | −7.72917e8 | − | 6.48554e8i | −1.34784 | − | 1.13097i | ||||
\(319\) | 1.49784e8 | − | 1.25684e8i | 0.258344 | − | 0.216776i | ||||
\(320\) | −6.89985e6 | + | 3.91310e7i | −0.0117710 | + | 0.0667569i | ||||
\(321\) | 3.39590e8 | − | 1.23601e8i | 0.573043 | − | 0.208570i | ||||
\(322\) | 1.61709e8 | 0.269922 | ||||||||
\(323\) | 1.20703e8 | − | 2.28237e8i | 0.199301 | − | 0.376858i | ||||
\(324\) | −2.89160e8 | −0.472313 | ||||||||
\(325\) | 1.47078e8 | − | 5.35320e7i | 0.237660 | − | 0.0865011i | ||||
\(326\) | 6.45358e7 | − | 3.66001e8i | 0.103167 | − | 0.585087i | ||||
\(327\) | 9.84784e8 | − | 8.26332e8i | 1.55748 | − | 1.30688i | ||||
\(328\) | 2.05370e8 | + | 1.72326e8i | 0.321350 | + | 0.269645i | ||||
\(329\) | 1.66131e8 | + | 9.42178e8i | 0.257197 | + | 1.45864i | ||||
\(330\) | 5.26207e7 | + | 9.11417e7i | 0.0806042 | + | 0.139611i | ||||
\(331\) | 2.26025e8 | − | 3.91487e8i | 0.342577 | − | 0.593361i | −0.642333 | − | 0.766425i | \(-0.722034\pi\) |
0.984911 | + | 0.173064i | \(0.0553668\pi\) | |||||||
\(332\) | 5.32943e8 | + | 1.93975e8i | 0.799277 | + | 0.290913i | ||||
\(333\) | 2.44230e8 | + | 8.88925e7i | 0.362447 | + | 0.131920i | ||||
\(334\) | 2.99276e8 | − | 5.18361e8i | 0.439500 | − | 0.761237i | ||||
\(335\) | 2.09880e8 | + | 3.63522e8i | 0.305009 | + | 0.528292i | ||||
\(336\) | −4.46348e7 | − | 2.53136e8i | −0.0641927 | − | 0.364055i | ||||
\(337\) | 4.96244e8 | + | 4.16398e8i | 0.706302 | + | 0.592658i | 0.923559 | − | 0.383457i | \(-0.125266\pi\) |
−0.217257 | + | 0.976114i | \(0.569711\pi\) | |||||||
\(338\) | −3.35185e8 | + | 2.81253e8i | −0.472145 | + | 0.396177i | ||||
\(339\) | −2.72806e8 | + | 1.54716e9i | −0.380324 | + | 2.15693i | ||||
\(340\) | −7.87218e7 | + | 2.86524e7i | −0.108622 | + | 0.0395353i | ||||
\(341\) | 2.78544e7 | 0.0380412 | ||||||||
\(342\) | 4.08357e8 | − | 3.69342e8i | 0.552013 | − | 0.499271i | ||||
\(343\) | −7.21032e8 | −0.964773 | ||||||||
\(344\) | 3.59234e8 | − | 1.30750e8i | 0.475798 | − | 0.173176i | ||||
\(345\) | 3.80588e7 | − | 2.15842e8i | 0.0498986 | − | 0.282989i | ||||
\(346\) | −6.94249e7 | + | 5.82544e7i | −0.0901050 | + | 0.0756071i | ||||
\(347\) | −1.84861e8 | − | 1.55117e8i | −0.237516 | − | 0.199299i | 0.516259 | − | 0.856433i | \(-0.327324\pi\) |
−0.753774 | + | 0.657133i | \(0.771769\pi\) | |||||||
\(348\) | 1.12395e8 | + | 6.37426e8i | 0.142962 | + | 0.810779i | ||||
\(349\) | 5.87481e8 | + | 1.01755e9i | 0.739784 | + | 1.28134i | 0.952592 | + | 0.304250i | \(0.0984059\pi\) |
−0.212808 | + | 0.977094i | \(0.568261\pi\) | |||||||
\(350\) | 2.06619e8 | − | 3.57874e8i | 0.257592 | − | 0.446162i | ||||
\(351\) | 2.05573e7 | + | 7.48226e6i | 0.0253742 | + | 0.00923544i | ||||
\(352\) | 3.98865e7 | + | 1.45175e7i | 0.0487446 | + | 0.0177416i | ||||
\(353\) | 1.48489e8 | − | 2.57191e8i | 0.179673 | − | 0.311203i | −0.762095 | − | 0.647465i | \(-0.775829\pi\) |
0.941769 | + | 0.336262i | \(0.109163\pi\) | |||||||
\(354\) | −3.48902e8 | − | 6.04316e8i | −0.418015 | − | 0.724024i | ||||
\(355\) | 5.09425e7 | + | 2.88909e8i | 0.0604340 | + | 0.342738i | ||||
\(356\) | −5.14440e7 | − | 4.31667e7i | −0.0604310 | − | 0.0507077i | ||||
\(357\) | 4.15142e8 | − | 3.48346e8i | 0.482901 | − | 0.405202i | ||||
\(358\) | −4.08416e7 | + | 2.31624e8i | −0.0470449 | + | 0.266805i | ||||
\(359\) | −6.37625e8 | + | 2.32076e8i | −0.727335 | + | 0.264728i | −0.679036 | − | 0.734105i | \(-0.737602\pi\) |
−0.0482987 | + | 0.998833i | \(0.515380\pi\) | |||||||
\(360\) | −1.78655e8 | −0.201816 | ||||||||
\(361\) | 8.94629e7 | − | 8.89384e8i | 0.100085 | − | 0.994979i | ||||
\(362\) | −3.27761e8 | −0.363143 | ||||||||
\(363\) | −1.12126e9 | + | 4.08107e8i | −1.23037 | + | 0.447817i | ||||
\(364\) | 2.95416e7 | − | 1.67539e8i | 0.0321055 | − | 0.182079i | ||||
\(365\) | −4.74599e8 | + | 3.98236e8i | −0.510860 | + | 0.428662i | ||||
\(366\) | −2.99397e8 | − | 2.51224e8i | −0.319201 | − | 0.267841i | ||||
\(367\) | 4.39409e7 | + | 2.49201e8i | 0.0464021 | + | 0.263159i | 0.999179 | − | 0.0405116i | \(-0.0128988\pi\) |
−0.952777 | + | 0.303671i | \(0.901788\pi\) | |||||||
\(368\) | −4.41986e7 | − | 7.65541e7i | −0.0462318 | − | 0.0800758i | ||||
\(369\) | −6.02695e8 | + | 1.04390e9i | −0.624461 | + | 1.08160i | ||||
\(370\) | −1.28648e8 | − | 4.68241e7i | −0.132038 | − | 0.0480578i | ||||
\(371\) | −1.65677e9 | − | 6.03016e8i | −1.68444 | − | 0.613085i | ||||
\(372\) | −4.61033e7 | + | 7.98532e7i | −0.0464335 | + | 0.0804252i | ||||
\(373\) | −3.86354e8 | − | 6.69185e8i | −0.385483 | − | 0.667676i | 0.606353 | − | 0.795195i | \(-0.292632\pi\) |
−0.991836 | + | 0.127520i | \(0.959298\pi\) | |||||||
\(374\) | 1.55400e7 | + | 8.81315e7i | 0.0153603 | + | 0.0871125i | ||||
\(375\) | −1.03683e9 | − | 8.70006e8i | −1.01531 | − | 0.851947i | ||||
\(376\) | 4.00627e8 | − | 3.36166e8i | 0.388671 | − | 0.326134i | ||||
\(377\) | −7.43891e7 | + | 4.21882e8i | −0.0715014 | + | 0.405505i | ||||
\(378\) | 5.42756e7 | − | 1.97547e7i | 0.0516873 | − | 0.0188126i | ||||
\(379\) | 1.15131e8 | 0.108631 | 0.0543156 | − | 0.998524i | \(-0.482702\pi\) | ||||
0.0543156 | + | 0.998524i | \(0.482702\pi\) | |||||||
\(380\) | −2.15102e8 | + | 1.94551e8i | −0.201096 | + | 0.181882i | ||||
\(381\) | −2.53263e9 | −2.34604 | ||||||||
\(382\) | 7.73694e8 | − | 2.81602e8i | 0.710146 | − | 0.258472i | ||||
\(383\) | 3.37038e8 | − | 1.91144e9i | 0.306538 | − | 1.73846i | −0.309640 | − | 0.950854i | \(-0.600209\pi\) |
0.616178 | − | 0.787607i | \(-0.288680\pi\) | |||||||
\(384\) | −1.07637e8 | + | 9.03181e7i | −0.0970067 | + | 0.0813983i | ||||
\(385\) | 1.40877e8 | + | 1.18210e8i | 0.125813 | + | 0.105570i | ||||
\(386\) | 1.88169e7 | + | 1.06716e8i | 0.0166530 | + | 0.0944438i | ||||
\(387\) | 8.59422e8 | + | 1.48856e9i | 0.753734 | + | 1.30550i | ||||
\(388\) | −4.05709e8 | + | 7.02709e8i | −0.352618 | + | 0.610751i | ||||
\(389\) | −1.24994e9 | − | 4.54939e8i | −1.07662 | − | 0.391859i | −0.257974 | − | 0.966152i | \(-0.583055\pi\) |
−0.818650 | + | 0.574293i | \(0.805277\pi\) | |||||||
\(390\) | −2.16671e8 | − | 7.88617e7i | −0.184958 | − | 0.0673194i | ||||
\(391\) | 9.31854e7 | − | 1.61402e8i | 0.0788368 | − | 0.136549i | ||||
\(392\) | −1.37533e7 | − | 2.38215e7i | −0.0115321 | − | 0.0199741i | ||||
\(393\) | 5.65645e8 | + | 3.20793e9i | 0.470078 | + | 2.66595i | ||||
\(394\) | −4.38392e8 | − | 3.67855e8i | −0.361099 | − | 0.302998i | ||||
\(395\) | 1.55324e7 | − | 1.30332e7i | 0.0126809 | − | 0.0106405i | ||||
\(396\) | −3.31402e7 | + | 1.87947e8i | −0.0268177 | + | 0.152091i | ||||
\(397\) | 1.62803e9 | − | 5.92555e8i | 1.30586 | − | 0.475293i | 0.406958 | − | 0.913447i | \(-0.366590\pi\) |
0.898900 | + | 0.438154i | \(0.144367\pi\) | |||||||
\(398\) | 9.19943e8 | 0.731425 | ||||||||
\(399\) | 8.77123e8 | − | 1.65856e9i | 0.691282 | − | 1.30715i | ||||
\(400\) | −2.25894e8 | −0.176479 | ||||||||
\(401\) | −6.16486e8 | + | 2.24383e8i | −0.477439 | + | 0.173774i | −0.569519 | − | 0.821978i | \(-0.692871\pi\) |
0.0920800 | + | 0.995752i | \(0.470648\pi\) | |||||||
\(402\) | −2.57756e8 | + | 1.46180e9i | −0.197887 | + | 1.12227i | ||||
\(403\) | −4.67494e7 | + | 3.92274e7i | −0.0355802 | + | 0.0298554i | ||||
\(404\) | 3.67027e8 | + | 3.07973e8i | 0.276926 | + | 0.232368i | ||||
\(405\) | 1.18921e8 | + | 6.74433e8i | 0.0889538 | + | 0.504482i | ||||
\(406\) | 5.65519e8 | + | 9.79508e8i | 0.419379 | + | 0.726385i | ||||
\(407\) | −7.31238e7 | + | 1.26654e8i | −0.0537623 | + | 0.0931191i | ||||
\(408\) | −2.78377e8 | − | 1.01321e8i | −0.202919 | − | 0.0738564i | ||||
\(409\) | 1.87089e9 | + | 6.80948e8i | 1.35212 | + | 0.492133i | 0.913610 | − | 0.406592i | \(-0.133283\pi\) |
0.438513 | + | 0.898725i | \(0.355505\pi\) | |||||||
\(410\) | 3.17470e8 | − | 5.49874e8i | 0.227488 | − | 0.394021i | ||||
\(411\) | 7.17438e7 | + | 1.24264e8i | 0.0509727 | + | 0.0882873i | ||||
\(412\) | 3.29392e7 | + | 1.86808e8i | 0.0232046 | + | 0.131600i | ||||
\(413\) | −9.34084e8 | − | 7.83790e8i | −0.652471 | − | 0.547488i | ||||
\(414\) | 3.04465e8 | − | 2.55476e8i | 0.210880 | − | 0.176949i | ||||
\(415\) | 2.33246e8 | − | 1.32281e9i | 0.160194 | − | 0.908506i | ||||
\(416\) | −8.73883e7 | + | 3.18068e7i | −0.0595151 | + | 0.0216617i | ||||
\(417\) | 1.35821e9 | 0.917259 | ||||||||
\(418\) | 1.64769e8 | + | 2.62380e8i | 0.110347 | + | 0.175717i | ||||
\(419\) | −1.62724e9 | −1.08070 | −0.540348 | − | 0.841442i | \(-0.681707\pi\) | ||||
−0.540348 | + | 0.841442i | \(0.681707\pi\) | |||||||
\(420\) | −5.72056e8 | + | 2.08211e8i | −0.376761 | + | 0.137130i | ||||
\(421\) | 3.62910e8 | − | 2.05817e9i | 0.237035 | − | 1.34429i | −0.601251 | − | 0.799060i | \(-0.705331\pi\) |
0.838286 | − | 0.545231i | \(-0.183558\pi\) | |||||||
\(422\) | 8.51882e8 | − | 7.14814e8i | 0.551805 | − | 0.463020i | ||||
\(423\) | 1.80129e9 | + | 1.51146e9i | 1.15716 | + | 0.970972i | ||||
\(424\) | 1.67360e8 | + | 9.49146e8i | 0.106628 | + | 0.604717i | ||||
\(425\) | −2.38130e8 | − | 4.12453e8i | −0.150471 | − | 0.260623i | ||||
\(426\) | −5.18702e8 | + | 8.98418e8i | −0.325076 | + | 0.563047i | ||||
\(427\) | −6.41768e8 | − | 2.33584e8i | −0.398915 | − | 0.145193i | ||||
\(428\) | −3.24382e8 | − | 1.18066e8i | −0.199988 | − | 0.0727897i | ||||
\(429\) | −1.23156e8 | + | 2.13312e8i | −0.0753103 | + | 0.130441i | ||||
\(430\) | −4.52700e8 | − | 7.84100e8i | −0.274582 | − | 0.475589i | ||||
\(431\) | 2.21564e8 | + | 1.25655e9i | 0.133300 | + | 0.755979i | 0.976029 | + | 0.217642i | \(0.0698364\pi\) |
−0.842729 | + | 0.538338i | \(0.819052\pi\) | |||||||
\(432\) | −2.41867e7 | − | 2.02951e7i | −0.0144339 | − | 0.0121115i | ||||
\(433\) | 1.66899e9 | − | 1.40045e9i | 0.987974 | − | 0.829009i | 0.00270117 | − | 0.999996i | \(-0.499140\pi\) |
0.985273 | + | 0.170987i | \(0.0546957\pi\) | |||||||
\(434\) | −2.79789e7 | + | 1.58676e8i | −0.0164292 | + | 0.0931747i | ||||
\(435\) | 1.44050e9 | − | 5.24300e8i | 0.839076 | − | 0.305399i | ||||
\(436\) | −1.22798e9 | −0.709556 | ||||||||
\(437\) | 8.83715e7 | − | 6.39151e8i | 0.0506556 | − | 0.366369i | ||||
\(438\) | −2.19084e9 | −1.24581 | ||||||||
\(439\) | 2.33623e9 | − | 8.50318e8i | 1.31792 | − | 0.479685i | 0.415130 | − | 0.909762i | \(-0.363736\pi\) |
0.902792 | + | 0.430077i | \(0.141514\pi\) | |||||||
\(440\) | 1.74566e7 | − | 9.90013e7i | 0.00976956 | − | 0.0554059i | ||||
\(441\) | 9.47408e7 | − | 7.94970e7i | 0.0526020 | − | 0.0441383i | ||||
\(442\) | −1.50197e8 | − | 1.26030e8i | −0.0827339 | − | 0.0694220i | ||||
\(443\) | −4.05788e7 | − | 2.30134e8i | −0.0221762 | − | 0.125767i | 0.971710 | − | 0.236177i | \(-0.0758947\pi\) |
−0.993886 | + | 0.110410i | \(0.964784\pi\) | |||||||
\(444\) | −2.42062e8 | − | 4.19263e8i | −0.131246 | − | 0.227324i | ||||
\(445\) | −7.95244e7 | + | 1.37740e8i | −0.0427800 | + | 0.0740971i | ||||
\(446\) | −7.25544e8 | − | 2.64076e8i | −0.387250 | − | 0.140948i | ||||
\(447\) | 2.47608e9 | + | 9.01218e8i | 1.31126 | + | 0.477258i | ||||
\(448\) | −1.22765e8 | + | 2.12636e8i | −0.0645064 | + | 0.111728i | ||||
\(449\) | 4.02385e7 | + | 6.96950e7i | 0.0209787 | + | 0.0363362i | 0.876324 | − | 0.481722i | \(-0.159988\pi\) |
−0.855345 | + | 0.518058i | \(0.826655\pi\) | |||||||
\(450\) | −1.76368e8 | − | 1.00023e9i | −0.0912379 | − | 0.517436i | ||||
\(451\) | −5.19585e8 | − | 4.35984e8i | −0.266710 | − | 0.223796i | ||||
\(452\) | 1.14958e9 | − | 9.64613e8i | 0.585538 | − | 0.491325i | ||||
\(453\) | 4.70068e8 | − | 2.66589e9i | 0.237584 | − | 1.34741i | ||||
\(454\) | 1.76596e9 | − | 6.42757e8i | 0.885698 | − | 0.322368i | ||||
\(455\) | −4.02915e8 | −0.200527 | ||||||||
\(456\) | −1.02491e9 | + | 3.80828e7i | −0.506184 | + | 0.0188084i | ||||
\(457\) | −1.08118e9 | −0.529896 | −0.264948 | − | 0.964263i | \(-0.585355\pi\) | ||||
−0.264948 | + | 0.964263i | \(0.585355\pi\) | |||||||
\(458\) | −4.60144e8 | + | 1.67479e8i | −0.223802 | + | 0.0814574i | ||||
\(459\) | 1.15593e7 | − | 6.55563e7i | 0.00557942 | − | 0.0316424i | ||||
\(460\) | −1.60377e8 | + | 1.34572e8i | −0.0768226 | + | 0.0644618i | ||||
\(461\) | −1.15465e9 | − | 9.68870e8i | −0.548907 | − | 0.460588i | 0.325664 | − | 0.945486i | \(-0.394412\pi\) |
−0.874571 | + | 0.484898i | \(0.838857\pi\) | |||||||
\(462\) | 1.12926e8 | + | 6.40434e8i | 0.0532778 | + | 0.302153i | ||||
\(463\) | 1.00177e9 | + | 1.73512e9i | 0.469067 | + | 0.812448i | 0.999375 | − | 0.0353571i | \(-0.0112569\pi\) |
−0.530307 | + | 0.847805i | \(0.677924\pi\) | |||||||
\(464\) | 3.09137e8 | − | 5.35441e8i | 0.143661 | − | 0.248828i | ||||
\(465\) | 2.05209e8 | + | 7.46901e7i | 0.0946481 | + | 0.0344491i | ||||
\(466\) | 5.70735e8 | + | 2.07731e8i | 0.261267 | + | 0.0950932i | ||||
\(467\) | −8.50318e8 | + | 1.47279e9i | −0.386342 | + | 0.669165i | −0.991954 | − | 0.126595i | \(-0.959595\pi\) |
0.605612 | + | 0.795760i | \(0.292928\pi\) | |||||||
\(468\) | −2.09066e8 | − | 3.62112e8i | −0.0942805 | − | 0.163299i | ||||
\(469\) | 4.50409e8 | + | 2.55439e9i | 0.201605 | + | 1.14336i | ||||
\(470\) | −9.48832e8 | − | 7.96164e8i | −0.421548 | − | 0.353720i | ||||
\(471\) | 3.29614e9 | − | 2.76579e9i | 1.45356 | − | 1.21968i | ||||
\(472\) | −1.15746e8 | + | 6.56429e8i | −0.0506652 | + | 0.287336i | ||||
\(473\) | −9.08860e8 | + | 3.30798e8i | −0.394896 | + | 0.143731i | ||||
\(474\) | 7.17005e7 | 0.0309242 | ||||||||
\(475\) | −1.30158e9 | − | 1.01223e9i | −0.557240 | − | 0.433363i | ||||
\(476\) | −5.17661e8 | −0.219999 | ||||||||
\(477\) | −4.07204e9 | + | 1.48210e9i | −1.71790 | + | 0.625264i | ||||
\(478\) | −2.08604e8 | + | 1.18305e9i | −0.0873625 | + | 0.495458i | ||||
\(479\) | 2.27636e6 | − | 1.91009e6i | 0.000946381 | − | 0.000794108i | −0.642314 | − | 0.766441i | \(-0.722026\pi\) |
0.643261 | + | 0.765647i | \(0.277581\pi\) | |||||||
\(480\) | 2.54924e8 | + | 2.13907e8i | 0.105212 | + | 0.0882835i | ||||
\(481\) | −5.56400e7 | − | 3.15550e8i | −0.0227971 | − | 0.129289i | ||||
\(482\) | 1.27196e9 | + | 2.20309e9i | 0.517378 | + | 0.896125i | ||||
\(483\) | 6.77160e8 | − | 1.17288e9i | 0.273449 | − | 0.473628i | ||||
\(484\) | 1.07105e9 | + | 3.89831e8i | 0.429390 | + | 0.156285i | ||||
\(485\) | 1.80584e9 | + | 6.57273e8i | 0.718760 | + | 0.261607i | ||||
\(486\) | −1.27830e9 | + | 2.21407e9i | −0.505131 | + | 0.874913i | ||||
\(487\) | −4.99699e8 | − | 8.65504e8i | −0.196045 | − | 0.339561i | 0.751197 | − | 0.660078i | \(-0.229477\pi\) |
−0.947243 | + | 0.320517i | \(0.896143\pi\) | |||||||
\(488\) | 6.48286e7 | + | 3.67661e8i | 0.0252521 | + | 0.143212i | ||||
\(489\) | −2.38436e9 | − | 2.00071e9i | −0.922126 | − | 0.773756i | ||||
\(490\) | −4.99047e7 | + | 4.18750e7i | −0.0191626 | + | 0.0160794i | ||||
\(491\) | −7.76183e8 | + | 4.40195e9i | −0.295923 | + | 1.67826i | 0.367504 | + | 0.930022i | \(0.380213\pi\) |
−0.663427 | + | 0.748241i | \(0.730899\pi\) | |||||||
\(492\) | 2.10987e9 | − | 7.67930e8i | 0.798690 | − | 0.290699i | ||||
\(493\) | 1.30353e9 | 0.489956 | ||||||||
\(494\) | −6.46049e8 | − | 2.08320e8i | −0.241113 | − | 0.0777475i | ||||
\(495\) | 4.51995e8 | 0.167500 | ||||||||
\(496\) | 8.27657e7 | − | 3.01243e7i | 0.0304554 | − | 0.0110849i | ||||
\(497\) | −3.14787e8 | + | 1.78525e9i | −0.115019 | + | 0.652305i | ||||
\(498\) | 3.63862e9 | − | 3.05316e9i | 1.32018 | − | 1.10776i | ||||
\(499\) | 1.29396e9 | + | 1.08576e9i | 0.466195 | + | 0.391184i | 0.845404 | − | 0.534127i | \(-0.179360\pi\) |
−0.379210 | + | 0.925311i | \(0.623804\pi\) | |||||||
\(500\) | 2.24506e8 | + | 1.27324e9i | 0.0803217 | + | 0.455527i | ||||
\(501\) | −2.50645e9 | − | 4.34130e9i | −0.890486 | − | 1.54237i | ||||
\(502\) | −1.45604e9 | + | 2.52194e9i | −0.513702 | + | 0.889758i | ||||
\(503\) | −2.24454e9 | − | 8.16945e8i | −0.786392 | − | 0.286223i | −0.0825566 | − | 0.996586i | \(-0.526309\pi\) |
−0.703835 | + | 0.710363i | \(0.748531\pi\) | |||||||
\(504\) | −1.03738e9 | − | 3.77574e8i | −0.360935 | − | 0.131370i | ||||
\(505\) | 5.67367e8 | − | 9.82708e8i | 0.196040 | − | 0.339551i | ||||
\(506\) | 1.11822e8 | + | 1.93682e8i | 0.0383708 | + | 0.0664602i | ||||
\(507\) | 6.36338e8 | + | 3.60885e9i | 0.216850 | + | 1.22982i | ||||
\(508\) | 1.85323e9 | + | 1.55504e9i | 0.627199 | + | 0.526283i | ||||
\(509\) | −4.51126e8 | + | 3.78539e8i | −0.151630 | + | 0.127233i | −0.715447 | − | 0.698667i | \(-0.753777\pi\) |
0.563817 | + | 0.825900i | \(0.309332\pi\) | |||||||
\(510\) | −1.21833e8 | + | 6.90952e8i | −0.0406697 | + | 0.230649i | ||||
\(511\) | −3.59745e9 | + | 1.30937e9i | −1.19267 | + | 0.434098i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | −4.84193e7 | − | 2.25319e8i | −0.0158346 | − | 0.0736864i | ||||
\(514\) | −3.66527e9 | −1.19052 | ||||||||
\(515\) | 4.22161e8 | − | 1.53654e8i | 0.136192 | − | 0.0495700i | ||||
\(516\) | 5.55967e8 | − | 3.15305e9i | 0.178146 | − | 1.01031i | ||||
\(517\) | −1.01358e9 | + | 8.50498e8i | −0.322584 | + | 0.270680i | ||||
\(518\) | −6.48050e8 | − | 5.43779e8i | −0.204859 | − | 0.171897i | ||||
\(519\) | 1.31801e8 | + | 7.47481e8i | 0.0413841 | + | 0.234701i | ||||
\(520\) | 1.10125e8 | + | 1.90743e8i | 0.0343459 | + | 0.0594889i | ||||
\(521\) | 9.83345e8 | − | 1.70320e9i | 0.304631 | − | 0.527636i | −0.672548 | − | 0.740053i | \(-0.734800\pi\) |
0.977179 | + | 0.212417i | \(0.0681336\pi\) | |||||||
\(522\) | 2.61223e9 | + | 9.50775e8i | 0.803832 | + | 0.292571i | ||||
\(523\) | −2.50001e9 | − | 9.09930e8i | −0.764163 | − | 0.278133i | −0.0696101 | − | 0.997574i | \(-0.522176\pi\) |
−0.694553 | + | 0.719442i | \(0.744398\pi\) | |||||||
\(524\) | 1.55577e9 | − | 2.69468e9i | 0.472375 | − | 0.818178i | ||||
\(525\) | −1.73044e9 | − | 2.99721e9i | −0.521915 | − | 0.903983i | ||||
\(526\) | −6.91042e8 | − | 3.91909e9i | −0.207040 | − | 1.17418i | ||||
\(527\) | 1.42252e8 | + | 1.19364e8i | 0.0423371 | + | 0.0355251i | ||||
\(528\) | 2.72321e8 | − | 2.28504e8i | 0.0805123 | − | 0.0675578i | ||||
\(529\) | −5.10364e8 | + | 2.89442e9i | −0.149894 | + | 0.850094i | ||||
\(530\) | 2.14495e9 | − | 7.80697e8i | 0.625823 | − | 0.227781i | ||||
\(531\) | −2.99696e9 | −0.868661 | ||||||||
\(532\) | −1.66018e9 | + | 6.75075e8i | −0.478041 | + | 0.194384i | ||||
\(533\) | 1.48604e9 | 0.425094 | ||||||||
\(534\) | −5.28511e8 | + | 1.92362e8i | −0.150196 | + | 0.0546670i | ||||
\(535\) | −1.41968e8 | + | 8.05142e8i | −0.0400823 | + | 0.227318i | ||||
\(536\) | 1.08616e9 | − | 9.11398e8i | 0.304662 | − | 0.255642i | ||||
\(537\) | 1.50895e9 | + | 1.26616e9i | 0.420498 | + | 0.352840i | ||||
\(538\) | −6.10138e8 | − | 3.46026e9i | −0.168924 | − | 0.958013i | ||||
\(539\) | 3.47959e7 | + | 6.02683e7i | 0.00957122 | + | 0.0165778i | ||||
\(540\) | −3.73889e7 | + | 6.47595e7i | −0.0102180 | + | 0.0176980i | ||||
\(541\) | 8.57158e8 | + | 3.11980e8i | 0.232740 | + | 0.0847104i | 0.455757 | − | 0.890104i | \(-0.349368\pi\) |
−0.223018 | + | 0.974814i | \(0.571591\pi\) | |||||||
\(542\) | −5.89628e8 | − | 2.14607e8i | −0.159067 | − | 0.0578957i | ||||
\(543\) | −1.37251e9 | + | 2.37725e9i | −0.367888 | + | 0.637200i | ||||
\(544\) | 1.41488e8 | + | 2.45064e8i | 0.0376811 | + | 0.0652656i | ||||
\(545\) | 5.05021e8 | + | 2.86412e9i | 0.133635 | + | 0.757884i | ||||
\(546\) | −1.09145e9 | − | 9.15837e8i | −0.286966 | − | 0.240793i | ||||
\(547\) | −4.78019e9 | + | 4.01105e9i | −1.24879 | + | 1.04786i | −0.252005 | + | 0.967726i | \(0.581090\pi\) |
−0.996784 | + | 0.0801331i | \(0.974465\pi\) | |||||||
\(548\) | 2.38006e7 | − | 1.34980e8i | 0.00617810 | − | 0.0350378i | ||||
\(549\) | −1.57735e9 | + | 5.74107e8i | −0.406840 | + | 0.148078i | ||||
\(550\) | 5.71510e8 | 0.146472 | ||||||||
\(551\) | 4.18053e9 | − | 1.69992e9i | 1.06464 | − | 0.432909i | ||||
\(552\) | −7.40330e8 | −0.187343 | ||||||||
\(553\) | 1.17735e8 | − | 4.28522e7i | 0.0296053 | − | 0.0107754i | ||||
\(554\) | −6.86331e8 | + | 3.89238e9i | −0.171494 | + | 0.972592i | ||||
\(555\) | −8.78333e8 | + | 7.37009e8i | −0.218089 | + | 0.182998i | ||||
\(556\) | −9.93859e8 | − | 8.33947e8i | −0.245224 | − | 0.205767i | ||||
\(557\) | 1.28472e8 | + | 7.28602e8i | 0.0315004 | + | 0.178647i | 0.996499 | − | 0.0836087i | \(-0.0266446\pi\) |
−0.964998 | + | 0.262256i | \(0.915533\pi\) | |||||||
\(558\) | 1.98006e8 | + | 3.42957e8i | 0.0482458 | + | 0.0835642i | ||||
\(559\) | 1.05952e9 | − | 1.83514e9i | 0.256548 | − | 0.444354i | ||||
\(560\) | 5.46438e8 | + | 1.98887e8i | 0.131487 | + | 0.0478574i | ||||
\(561\) | 7.04292e8 | + | 2.56341e8i | 0.168416 | + | 0.0612983i | ||||
\(562\) | 7.28529e7 | − | 1.26185e8i | 0.0173129 | − | 0.0299868i | ||||
\(563\) | 6.42971e8 | + | 1.11366e9i | 0.151849 | + | 0.263010i | 0.931907 | − | 0.362697i | \(-0.118144\pi\) |
−0.780058 | + | 0.625707i | \(0.784811\pi\) | |||||||
\(564\) | −7.60577e8 | − | 4.31345e9i | −0.178512 | − | 1.01239i | ||||
\(565\) | −2.72263e9 | − | 2.28456e9i | −0.635067 | − | 0.532884i | ||||
\(566\) | −3.75960e9 | + | 3.15468e9i | −0.871533 | + | 0.731303i | ||||
\(567\) | −7.34842e8 | + | 4.16749e9i | −0.169298 | + | 0.960139i | ||||
\(568\) | 9.31186e8 | − | 3.38924e8i | 0.213215 | − | 0.0776038i | ||||
\(569\) | 6.01815e9 | 1.36953 | 0.684763 | − | 0.728766i | \(-0.259906\pi\) | ||||
0.684763 | + | 0.728766i | \(0.259906\pi\) | |||||||
\(570\) | 5.10331e8 | + | 2.37482e9i | 0.115422 | + | 0.537118i | ||||
\(571\) | 5.50177e9 | 1.23673 | 0.618366 | − | 0.785890i | \(-0.287795\pi\) | ||||
0.618366 | + | 0.785890i | \(0.287795\pi\) | |||||||
\(572\) | 2.21092e8 | − | 8.04710e7i | 0.0493955 | − | 0.0179785i | ||||
\(573\) | 1.19741e9 | − | 6.79082e9i | 0.265889 | − | 1.50793i | ||||
\(574\) | 3.00554e9 | − | 2.52195e9i | 0.663332 | − | 0.556602i | ||||
\(575\) | −9.11751e8 | − | 7.65050e8i | −0.200004 | − | 0.167823i | ||||
\(576\) | 1.04791e8 | + | 5.94301e8i | 0.0228479 | + | 0.129577i | ||||
\(577\) | 2.35381e9 | + | 4.07691e9i | 0.510100 | + | 0.883520i | 0.999932 | + | 0.0117024i | \(0.00372507\pi\) |
−0.489831 | + | 0.871817i | \(0.662942\pi\) | |||||||
\(578\) | 1.34305e9 | − | 2.32623e9i | 0.289298 | − | 0.501078i | ||||
\(579\) | 8.52806e8 | + | 3.10396e8i | 0.182589 | + | 0.0664571i | ||||
\(580\) | −1.37599e9 | − | 5.00821e8i | −0.292832 | − | 0.106582i | ||||
\(581\) | 4.15003e9 | − | 7.18806e9i | 0.877879 | − | 1.52053i | ||||
\(582\) | 3.39783e9 | + | 5.88522e9i | 0.714450 | + | 1.23746i | ||||
\(583\) | −4.23420e8 | − | 2.40134e9i | −0.0884976 | − | 0.501895i | ||||
\(584\) | 1.60312e9 | + | 1.34518e9i | 0.333060 | + | 0.279470i | ||||
\(585\) | −7.58605e8 | + | 6.36545e8i | −0.156664 | + | 0.131457i | ||||
\(586\) | 3.74101e8 | − | 2.12163e9i | 0.0767976 | − | 0.435541i | ||||
\(587\) | −5.08658e9 | + | 1.85136e9i | −1.03799 | + | 0.377797i | −0.804117 | − | 0.594470i | \(-0.797362\pi\) |
−0.233871 | + | 0.972268i | \(0.575139\pi\) | |||||||
\(588\) | −2.30370e8 | −0.0467310 | ||||||||
\(589\) | 6.11875e8 | + | 1.97300e8i | 0.123384 | + | 0.0397854i | ||||
\(590\) | 1.57865e9 | 0.316449 | ||||||||
\(591\) | −4.50383e9 | + | 1.63926e9i | −0.897482 | + | 0.326657i | ||||
\(592\) | −8.03025e7 | + | 4.55418e8i | −0.0159075 | + | 0.0902161i | ||||
\(593\) | −2.65279e8 | + | 2.22595e8i | −0.0522409 | + | 0.0438353i | −0.668534 | − | 0.743681i | \(-0.733078\pi\) |
0.616293 | + | 0.787517i | \(0.288634\pi\) | |||||||
\(594\) | 6.11923e7 | + | 5.13465e7i | 0.0119797 | + | 0.0100521i | ||||
\(595\) | 2.12895e8 | + | 1.20739e9i | 0.0414339 | + | 0.234983i | ||||
\(596\) | −1.25849e9 | − | 2.17977e9i | −0.243494 | − | 0.421745i | ||||
\(597\) | 3.85228e9 | − | 6.67235e9i | 0.740982 | − | 1.28342i | ||||
\(598\) | −4.60439e8 | − | 1.67586e8i | −0.0880476 | − | 0.0320467i | ||||
\(599\) | 5.68182e9 | + | 2.06802e9i | 1.08017 | + | 0.393151i | 0.819973 | − | 0.572403i | \(-0.193989\pi\) |
0.260202 | + | 0.965554i | \(0.416211\pi\) | |||||||
\(600\) | −9.45935e8 | + | 1.63841e9i | −0.178785 | + | 0.309665i | ||||
\(601\) | 1.13335e9 | + | 1.96302e9i | 0.212962 | + | 0.368862i | 0.952640 | − | 0.304099i | \(-0.0983555\pi\) |
−0.739678 | + | 0.672961i | \(0.765022\pi\) | |||||||
\(602\) | −9.71511e8 | − | 5.50971e9i | −0.181493 | − | 1.02930i | ||||
\(603\) | 4.88359e9 | + | 4.09782e9i | 0.907045 | + | 0.761101i | ||||
\(604\) | −1.98083e9 | + | 1.66211e9i | −0.365778 | + | 0.306925i | ||||
\(605\) | 4.68753e8 | − | 2.65843e9i | 0.0860599 | − | 0.488070i | ||||
\(606\) | 3.77066e9 | − | 1.37241e9i | 0.688277 | − | 0.250512i | ||||
\(607\) | −1.07558e10 | −1.95201 | −0.976004 | − | 0.217753i | \(-0.930127\pi\) | ||||
−0.976004 | + | 0.217753i | \(0.930127\pi\) | |||||||
\(608\) | 7.73350e8 | + | 6.01430e8i | 0.139545 | + | 0.108523i | ||||
\(609\) | 9.47250e9 | 1.69943 | ||||||||
\(610\) | 8.30867e8 | − | 3.02411e8i | 0.148210 | − | 0.0539440i | ||||
\(611\) | 5.03389e8 | − | 2.85486e9i | 0.0892811 | − | 0.506338i | ||||
\(612\) | −9.74649e8 | + | 8.17828e8i | −0.171877 | + | 0.144222i | ||||
\(613\) | −6.58822e9 | − | 5.52818e9i | −1.15520 | − | 0.969327i | −0.155370 | − | 0.987856i | \(-0.549657\pi\) |
−0.999828 | + | 0.0185295i | \(0.994102\pi\) | |||||||
\(614\) | 4.03315e8 | + | 2.28731e9i | 0.0703161 | + | 0.398782i | ||||
\(615\) | −2.65882e9 | − | 4.60522e9i | −0.460921 | − | 0.798339i | ||||
\(616\) | 3.10596e8 | − | 5.37968e8i | 0.0535381 | − | 0.0927308i | ||||
\(617\) | 2.78762e9 | + | 1.01461e9i | 0.477789 | + | 0.173901i | 0.569677 | − | 0.821868i | \(-0.307068\pi\) |
−0.0918887 | + | 0.995769i | \(0.529290\pi\) | |||||||
\(618\) | 1.49285e9 | + | 5.43353e8i | 0.254423 | + | 0.0926024i | ||||
\(619\) | 3.92262e9 | − | 6.79418e9i | 0.664751 | − | 1.15138i | −0.314602 | − | 0.949224i | \(-0.601871\pi\) |
0.979353 | − | 0.202159i | \(-0.0647957\pi\) | |||||||
\(620\) | −1.04300e8 | − | 1.80653e8i | −0.0175757 | − | 0.0304420i | ||||
\(621\) | −2.88876e7 | − | 1.63830e8i | −0.00484051 | − | 0.0274519i | ||||
\(622\) | 1.22543e9 | + | 1.02825e9i | 0.204184 | + | 0.171330i | ||||
\(623\) | −7.52872e8 | + | 6.31734e8i | −0.124742 | + | 0.104671i | ||||
\(624\) | −1.35246e8 | + | 7.67020e8i | −0.0222833 | + | 0.126375i | ||||
\(625\) | −1.17139e9 | + | 4.26351e8i | −0.191921 | + | 0.0698534i | ||||
\(626\) | −4.01448e9 | −0.654062 | ||||||||
\(627\) | 2.59302e9 | − | 9.63494e7i | 0.420115 | − | 0.0156103i | ||||
\(628\) | −4.11012e9 | −0.662210 | ||||||||
\(629\) | −9.16187e8 | + | 3.33465e8i | −0.146794 | + | 0.0534285i | ||||
\(630\) | −4.54015e8 | + | 2.57485e9i | −0.0723400 | + | 0.410260i | ||||
\(631\) | −8.95319e9 | + | 7.51262e9i | −1.41865 | + | 1.19039i | −0.466590 | + | 0.884474i | \(0.654518\pi\) |
−0.952059 | + | 0.305915i | \(0.901038\pi\) | |||||||
\(632\) | −5.24661e7 | − | 4.40243e7i | −0.00826741 | − | 0.00693718i | ||||
\(633\) | −1.61727e9 | − | 9.17200e9i | −0.253437 | − | 1.43731i | ||||
\(634\) | 8.38088e8 | + | 1.45161e9i | 0.130610 | + | 0.226224i | ||||
\(635\) | 2.86480e9 | − | 4.96198e9i | 0.444003 | − | 0.769036i | ||||
\(636\) | 7.58498e9 | + | 2.76071e9i | 1.16911 | + | 0.425521i | ||||
\(637\) | −1.43276e8 | − | 5.21480e7i | −0.0219626 | − | 0.00799374i | ||||
\(638\) | −7.82116e8 | + | 1.35466e9i | −0.119234 | + | 0.206519i | ||||
\(639\) | 2.22774e9 | + | 3.85857e9i | 0.337763 | + | 0.585023i | ||||
\(640\) | −5.51988e7 | − | 3.13048e8i | −0.00832338 | − | 0.0472042i | ||||
\(641\) | 3.17077e9 | + | 2.66059e9i | 0.475512 | + | 0.399002i | 0.848800 | − | 0.528713i | \(-0.177325\pi\) |
−0.373288 | + | 0.927715i | \(0.621770\pi\) | |||||||
\(642\) | −2.21469e9 | + | 1.85834e9i | −0.330324 | + | 0.277175i | ||||
\(643\) | −8.20149e8 | + | 4.65130e9i | −0.121662 | + | 0.689978i | 0.861573 | + | 0.507634i | \(0.169480\pi\) |
−0.983235 | + | 0.182345i | \(0.941631\pi\) | |||||||
\(644\) | −1.21565e9 | + | 4.42462e8i | −0.179353 | + | 0.0652793i | ||||
\(645\) | −7.58278e9 | −1.11268 | ||||||||
\(646\) | −2.82894e8 | + | 2.04605e9i | −0.0412867 | + | 0.298608i | ||||
\(647\) | 1.05042e10 | 1.52474 | 0.762371 | − | 0.647140i | \(-0.224035\pi\) | ||||
0.762371 | + | 0.647140i | \(0.224035\pi\) | |||||||
\(648\) | 2.17377e9 | − | 7.91187e8i | 0.313835 | − | 0.114226i | ||||
\(649\) | 2.92837e8 | − | 1.66076e9i | 0.0420504 | − | 0.238480i | ||||
\(650\) | −9.59193e8 | + | 8.04858e8i | −0.136996 | + | 0.114954i | ||||
\(651\) | 1.03372e9 | + | 8.67392e8i | 0.146848 | + | 0.123220i | ||||
\(652\) | 5.16286e8 | + | 2.92800e9i | 0.0729498 | + | 0.413719i | ||||
\(653\) | 3.32880e8 | + | 5.76565e8i | 0.0467834 | + | 0.0810311i | 0.888469 | − | 0.458937i | \(-0.151770\pi\) |
−0.841685 | + | 0.539968i | \(0.818436\pi\) | |||||||
\(654\) | −5.14218e9 | + | 8.90651e9i | −0.718828 | + | 1.24505i | ||||
\(655\) | −6.92488e9 | − | 2.52045e9i | −0.962870 | − | 0.350456i | ||||
\(656\) | −2.01539e9 | − | 7.33541e8i | −0.278737 | − | 0.101452i | ||||
\(657\) | −4.70466e9 | + | 8.14871e9i | −0.647216 | + | 1.12101i | ||||
\(658\) | −3.82685e9 | − | 6.62830e9i | −0.523662 | − | 0.907009i | ||||
\(659\) | −1.30015e9 | − | 7.37352e9i | −0.176968 | − | 1.00363i | −0.935848 | − | 0.352404i | \(-0.885364\pi\) |
0.758880 | − | 0.651231i | \(-0.225747\pi\) | |||||||
\(660\) | −6.44956e8 | − | 5.41183e8i | −0.0873226 | − | 0.0732724i | ||||
\(661\) | −1.02375e9 | + | 8.59026e8i | −0.137876 | + | 0.115691i | −0.709117 | − | 0.705091i | \(-0.750906\pi\) |
0.571242 | + | 0.820782i | \(0.306462\pi\) | |||||||
\(662\) | −6.27981e8 | + | 3.56146e9i | −0.0841286 | + | 0.477117i | ||||
\(663\) | −1.54305e9 | + | 5.61625e8i | −0.205628 | + | 0.0748426i | ||||
\(664\) | −4.53717e9 | −0.601446 | ||||||||
\(665\) | 2.25731e9 | + | 3.59456e9i | 0.297657 | + | 0.473991i | ||||
\(666\) | −2.07923e9 | −0.272737 | ||||||||
\(667\) | 3.06116e9 | − | 1.11417e9i | 0.399434 | − | 0.145382i | ||||
\(668\) | −8.31499e8 | + | 4.71567e9i | −0.107931 | + | 0.612104i | ||||
\(669\) | −4.95358e9 | + | 4.15655e9i | −0.639628 | + | 0.536712i | ||||
\(670\) | −2.57243e9 | − | 2.15853e9i | −0.330432 | − | 0.277265i | ||||
\(671\) | −1.64016e8 | − | 9.30181e8i | −0.0209584 | − | 0.118861i | ||||
\(672\) | 1.02817e9 | + | 1.78083e9i | 0.130698 | + | 0.226376i | ||||
\(673\) | −7.76909e9 | + | 1.34565e10i | −0.982465 | + | 1.70168i | −0.329766 | + | 0.944063i | \(0.606970\pi\) |
−0.652699 | + | 0.757617i | \(0.726363\pi\) | |||||||
\(674\) | −4.86987e9 | − | 1.77249e9i | −0.612643 | − | 0.222984i | ||||
\(675\) | −3.99478e8 | − | 1.45398e8i | −0.0499954 | − | 0.0181968i | ||||
\(676\) | 1.75021e9 | − | 3.03145e9i | 0.217910 | − | 0.377431i | ||||
\(677\) | 2.09116e9 | + | 3.62199e9i | 0.259016 | + | 0.448629i | 0.965979 | − | 0.258622i | \(-0.0832685\pi\) |
−0.706963 | + | 0.707251i | \(0.749935\pi\) | |||||||
\(678\) | −2.18244e9 | − | 1.23773e10i | −0.268930 | − | 1.52518i | ||||
\(679\) | 9.09672e9 | + | 7.63305e9i | 1.11517 | + | 0.935738i | ||||
\(680\) | 5.13397e8 | − | 4.30791e8i | 0.0626141 | − | 0.0525394i | ||||
\(681\) | 2.73308e9 | − | 1.55001e10i | 0.331618 | − | 1.88070i | ||||
\(682\) | −2.09397e8 | + | 7.62143e7i | −0.0252770 | + | 0.00920006i | ||||
\(683\) | 3.22916e9 | 0.387808 | 0.193904 | − | 0.981021i | \(-0.437885\pi\) | ||||
0.193904 | + | 0.981021i | \(0.437885\pi\) | |||||||
\(684\) | −2.05927e9 | + | 3.89387e9i | −0.246046 | + | 0.465249i | ||||
\(685\) | −3.24613e8 | −0.0385877 | ||||||||
\(686\) | 5.42039e9 | − | 1.97286e9i | 0.641056 | − | 0.233325i | ||||
\(687\) | −7.12140e8 | + | 4.03875e9i | −0.0837948 | + | 0.475224i | ||||
\(688\) | −2.34280e9 | + | 1.96584e9i | −0.274268 | + | 0.230139i | ||||
\(689\) | 4.09245e9 | + | 3.43397e9i | 0.476668 | + | 0.399972i | ||||
\(690\) | 3.04470e8 | + | 1.72674e9i | 0.0352836 | + | 0.200103i | ||||
\(691\) | −5.00360e9 | − | 8.66649e9i | −0.576912 | − | 0.999240i | −0.995831 | − | 0.0912170i | \(-0.970924\pi\) |
0.418919 | − | 0.908023i | \(-0.362409\pi\) | |||||||
\(692\) | 3.62511e8 | − | 6.27888e8i | 0.0415863 | − | 0.0720295i | ||||
\(693\) | 2.62456e9 | + | 9.55261e8i | 0.299564 | + | 0.109032i | ||||
\(694\) | 1.81413e9 | + | 6.60288e8i | 0.206020 | + | 0.0749851i | ||||
\(695\) | −1.53635e9 | + | 2.66104e9i | −0.173598 | + | 0.300680i | ||||
\(696\) | −2.58904e9 | − | 4.48435e9i | −0.291076 | − | 0.504158i | ||||
\(697\) | −7.85205e8 | − | 4.45312e9i | −0.0878351 | − | 0.498138i | ||||
\(698\) | −7.20059e9 | − | 6.04201e9i | −0.801446 | − | 0.672493i | ||||
\(699\) | 3.89664e9 | − | 3.26967e9i | 0.431539 | − | 0.362104i | ||||
\(700\) | −5.74064e8 | + | 3.25568e9i | −0.0632582 | + | 0.358755i | ||||
\(701\) | −1.54769e10 | + | 5.63313e9i | −1.69696 | + | 0.617641i | −0.995473 | − | 0.0950447i | \(-0.969701\pi\) |
−0.701483 | + | 0.712686i | \(0.747478\pi\) | |||||||
\(702\) | −1.75013e8 | −0.0190937 | ||||||||
\(703\) | −2.50342e9 | + | 2.26424e9i | −0.271763 | + | 0.245798i | ||||
\(704\) | −3.39570e8 | −0.0366797 | ||||||||
\(705\) | −9.74784e9 | + | 3.54792e9i | −1.04772 | + | 0.381340i | ||||
\(706\) | −4.12558e8 | + | 2.33973e9i | −0.0441234 | + | 0.250236i | ||||
\(707\) | 5.37136e9 | − | 4.50711e9i | 0.571632 | − | 0.479656i | ||||
\(708\) | 4.27639e9 | + | 3.58832e9i | 0.452857 | + | 0.379992i | ||||
\(709\) | −2.36604e9 | − | 1.34185e10i | −0.249322 | − | 1.41397i | −0.810238 | − | 0.586101i | \(-0.800662\pi\) |
0.560916 | − | 0.827873i | \(-0.310449\pi\) | |||||||
\(710\) | −1.17346e9 | − | 2.03250e9i | −0.123046 | − | 0.213121i | ||||
\(711\) | 1.53971e8 | − | 2.66686e8i | 0.0160656 | − | 0.0278264i | ||||
\(712\) | 5.04844e8 | + | 1.83748e8i | 0.0524176 | + | 0.0190784i | ||||
\(713\) | 4.36082e8 | + | 1.58721e8i | 0.0450563 | + | 0.0163991i | ||||
\(714\) | −2.16772e9 | + | 3.75460e9i | −0.222874 | + | 0.386029i | ||||
\(715\) | −2.78617e8 | − | 4.82578e8i | −0.0285060 | − | 0.0493738i | ||||
\(716\) | −3.26733e8 | − | 1.85299e9i | −0.0332658 | − | 0.188659i | ||||
\(717\) | 7.70715e9 | + | 6.46707e9i | 0.780867 | + | 0.655225i | ||||
\(718\) | 4.15837e9 | − | 3.48929e9i | 0.419264 | − | 0.351804i | ||||
\(719\) | 1.24414e9 | − | 7.05585e9i | 0.124829 | − | 0.707943i | −0.856580 | − | 0.516015i | \(-0.827415\pi\) |
0.981409 | − | 0.191928i | \(-0.0614740\pi\) | |||||||
\(720\) | 1.34304e9 | − | 4.88828e8i | 0.134099 | − | 0.0488081i | ||||
\(721\) | 2.77606e9 | 0.275839 | ||||||||
\(722\) | 1.76096e9 | + | 6.93076e9i | 0.174128 | + | 0.685332i | ||||
\(723\) | 2.13054e10 | 2.09655 | ||||||||
\(724\) | 2.46396e9 | − | 8.96807e8i | 0.241295 | − | 0.0878242i | ||||
\(725\) | 1.44556e9 | − | 8.19817e9i | 0.140881 | − | 0.798976i | ||||
\(726\) | 7.31250e9 | − | 6.13592e9i | 0.709231 | − | 0.595116i | ||||
\(727\) | −8.44822e9 | − | 7.08889e9i | −0.815445 | − | 0.684239i | 0.136456 | − | 0.990646i | \(-0.456429\pi\) |
−0.951901 | + | 0.306407i | \(0.900873\pi\) | |||||||
\(728\) | 2.36333e8 | + | 1.34031e9i | 0.0227020 | + | 0.128749i | ||||
\(729\) | 5.76522e9 | + | 9.98566e9i | 0.551150 | + | 0.954619i | ||||
\(730\) | 2.47818e9 | − | 4.29233e9i | 0.235778 | − | 0.408379i | ||||
\(731\) | −6.05909e9 | − | 2.20533e9i | −0.573715 | − | 0.208815i | ||||
\(732\) | 2.93812e9 | + | 1.06939e9i | 0.276873 | + | 0.100774i | ||||
\(733\) | 8.73863e8 | − | 1.51358e9i | 0.0819558 | − | 0.141952i | −0.822134 | − | 0.569294i | \(-0.807217\pi\) |
0.904090 | + | 0.427342i | \(0.140550\pi\) | |||||||
\(734\) | −1.01218e9 | − | 1.75315e9i | −0.0944762 | − | 0.163638i | ||||
\(735\) | 9.47426e7 | + | 5.37312e8i | 0.00880115 | + | 0.0499138i | ||||
\(736\) | 5.41729e8 | + | 4.54565e8i | 0.0500852 | + | 0.0420265i | ||||
\(737\) | −2.74799e9 | + | 2.30583e9i | −0.252859 | + | 0.212174i | ||||
\(738\) | 1.67451e9 | − | 9.49662e9i | 0.153352 | − | 0.869705i | ||||
\(739\) | 5.49695e9 | − | 2.00073e9i | 0.501033 | − | 0.182361i | −0.0791254 | − | 0.996865i | \(-0.525213\pi\) |
0.580159 | + | 0.814503i | \(0.302991\pi\) | |||||||
\(740\) | 1.09524e9 | 0.0993567 | ||||||||
\(741\) | −4.21629e9 | + | 3.81345e9i | −0.380686 | + | 0.344314i | ||||
\(742\) | 1.41048e10 | 1.26752 | ||||||||
\(743\) | 2.75931e9 | − | 1.00431e9i | 0.246797 | − | 0.0898267i | −0.215660 | − | 0.976469i | \(-0.569190\pi\) |
0.462457 | + | 0.886642i | \(0.346968\pi\) | |||||||
\(744\) | 1.28092e8 | − | 7.26446e8i | 0.0114029 | − | 0.0646693i | ||||
\(745\) | −4.56651e9 | + | 3.83176e9i | −0.404611 | + | 0.339509i | ||||
\(746\) | 4.73543e9 | + | 3.97350e9i | 0.417613 | + | 0.350419i | ||||
\(747\) | −3.54242e9 | − | 2.00901e10i | −0.310941 | − | 1.76343i | ||||
\(748\) | −3.57964e8 | − | 6.20012e8i | −0.0312740 | − | 0.0541682i | ||||
\(749\) | −2.52597e9 | + | 4.37510e9i | −0.219655 | + | 0.380454i | ||||
\(750\) | 1.01749e10 | + | 3.70336e9i | 0.880676 | + | 0.320540i | ||||
\(751\) | 6.70877e9 | + | 2.44179e9i | 0.577967 | + | 0.210363i | 0.614429 | − | 0.788972i | \(-0.289386\pi\) |
−0.0364617 | + | 0.999335i | \(0.511609\pi\) | |||||||
\(752\) | −2.09192e9 | + | 3.62332e9i | −0.179384 | + | 0.310702i | ||||
\(753\) | 1.21944e10 | + | 2.11214e10i | 1.04083 | + | 1.80277i | ||||
\(754\) | −5.95113e8 | − | 3.37505e9i | −0.0505591 | − | 0.286735i | ||||
\(755\) | 4.69134e9 | + | 3.93650e9i | 0.396719 | + | 0.332886i | ||||
\(756\) | −3.53967e8 | + | 2.97014e8i | −0.0297945 | + | 0.0250006i | ||||
\(757\) | 2.43478e9 | − | 1.38083e10i | 0.203997 | − | 1.15692i | −0.695014 | − | 0.718997i | \(-0.744602\pi\) |
0.899010 | − | 0.437927i | \(-0.144287\pi\) | |||||||
\(758\) | −8.65500e8 | + | 3.15016e8i | −0.0721814 | + | 0.0262719i | ||||
\(759\) | 1.87303e9 | 0.155489 | ||||||||
\(760\) | 1.08472e9 | − | 2.05110e9i | 0.0896333 | − | 0.169488i | ||||
\(761\) | −2.02956e9 | −0.166938 | −0.0834690 | − | 0.996510i | \(-0.526600\pi\) | ||||
−0.0834690 | + | 0.996510i | \(0.526600\pi\) | |||||||
\(762\) | 1.90392e10 | − | 6.92969e9i | 1.55885 | − | 0.567376i | ||||
\(763\) | −3.12066e9 | + | 1.76981e10i | −0.254337 | + | 1.44242i | ||||
\(764\) | −5.04577e9 | + | 4.23391e9i | −0.409356 | + | 0.343490i | ||||
\(765\) | 2.30833e9 | + | 1.93692e9i | 0.186416 | + | 0.156421i | ||||
\(766\) | 2.69631e9 | + | 1.52915e10i | 0.216755 | + | 1.22928i | ||||
\(767\) | 1.84737e9 | + | 3.19974e9i | 0.147833 | + | 0.256054i | ||||
\(768\) | 5.62040e8 | − | 9.73482e8i | 0.0447716 | − | 0.0775467i | ||||
\(769\) | 6.00382e9 | + | 2.18521e9i | 0.476086 | + | 0.173281i | 0.568907 | − | 0.822402i | \(-0.307366\pi\) |
−0.0928214 | + | 0.995683i | \(0.529589\pi\) | |||||||
\(770\) | −1.38249e9 | − | 5.03184e8i | −0.109130 | − | 0.0397200i | ||||
\(771\) | −1.53484e10 | + | 2.65842e10i | −1.20607 | + | 2.08898i | ||||
\(772\) | −4.33448e8 | − | 7.50755e8i | −0.0339060 | − | 0.0587270i | ||||
\(773\) | 1.07383e9 | + | 6.08997e9i | 0.0836191 | + | 0.474227i | 0.997646 | + | 0.0685740i | \(0.0218449\pi\) |
−0.914027 | + | 0.405653i | \(0.867044\pi\) | |||||||
\(774\) | −1.05337e10 | − | 8.83881e9i | −0.816558 | − | 0.685173i | ||||
\(775\) | 9.08454e8 | − | 7.62283e8i | 0.0701046 | − | 0.0588248i | ||||
\(776\) | 1.12721e9 | − | 6.39273e9i | 0.0865943 | − | 0.491100i | ||||
\(777\) | −6.65775e9 | + | 2.42322e9i | −0.509160 | + | 0.185319i | ||||
\(778\) | 1.06412e10 | 0.810146 | ||||||||
\(779\) | −8.32547e9 | − | 1.32575e10i | −0.630997 | − | 1.00481i | ||||
\(780\) | 1.84461e9 | 0.139179 | ||||||||
\(781\) | −2.35590e9 | + | 8.57476e8i | −0.176961 | + | 0.0644086i | ||||
\(782\) | −2.58904e8 | + | 1.46832e9i | −0.0193604 | + | 0.109798i | ||||
\(783\) | 8.91330e8 | − | 7.47915e8i | 0.0663548 | − | 0.0556783i | ||||
\(784\) | 1.68571e8 | + | 1.41448e8i | 0.0124933 | + | 0.0104831i | ||||
\(785\) | 1.69034e9 | + | 9.58640e9i | 0.124718 | + | 0.707313i | ||||
\(786\) | −1.30297e10 | − | 2.25681e10i | −0.957095 | − | 1.65774i | ||||
\(787\) | 1.23868e10 | − | 2.14545e10i | 0.905830 | − | 1.56894i | 0.0860310 | − | 0.996292i | \(-0.472582\pi\) |
0.819799 | − | 0.572651i | \(-0.194085\pi\) | |||||||
\(788\) | 4.30214e9 | + | 1.56585e9i | 0.313215 | + | 0.114001i | ||||
\(789\) | −3.13189e10 | − | 1.13992e10i | −2.27006 | − | 0.826235i | ||||
\(790\) | −8.11044e7 | + | 1.40477e8i | −0.00585261 | + | 0.0101370i | ||||
\(791\) | −1.09810e10 | − | 1.90196e10i | −0.788904 | − | 1.36642i | ||||
\(792\) | −2.65121e8 | − | 1.50358e9i | −0.0189630 | − | 0.107544i | ||||
\(793\) | 1.58525e9 | + | 1.33018e9i | 0.112886 | + | 0.0947230i | ||||
\(794\) | −1.06175e10 | + | 8.90911e9i | −0.752747 | + | 0.631630i | ||||
\(795\) | 3.31962e9 | − | 1.88265e10i | 0.234317 | − | 1.32888i | ||||
\(796\) | −6.91571e9 | + | 2.51711e9i | −0.486005 | + | 0.176891i | ||||
\(797\) | 2.40216e10 | 1.68073 | 0.840364 | − | 0.542023i | \(-0.182341\pi\) | ||||
0.840364 | + | 0.542023i | \(0.182341\pi\) | |||||||
\(798\) | −2.05574e9 | + | 1.48682e10i | −0.143205 | + | 1.03573i | ||||
\(799\) | −8.82095e9 | −0.611789 | ||||||||
\(800\) | 1.69816e9 | − | 6.18081e8i | 0.117264 | − | 0.0426806i | ||||
\(801\) | −4.19456e8 | + | 2.37885e9i | −0.0288385 | + | 0.163551i | ||||
\(802\) | 4.02051e9 | − | 3.37361e9i | 0.275215 | − | 0.230932i | ||||
\(803\) | −4.05590e9 | − | 3.40330e9i | −0.276428 | − | 0.231951i | ||||
\(804\) | −2.06204e9 | − | 1.16944e10i | −0.139927 | − | 0.793566i | ||||
\(805\) | 1.53195e9 | + | 2.65341e9i | 0.103504 | + | 0.179274i | ||||
\(806\) | 2.44108e8 | − | 4.22808e8i | 0.0164214 | − | 0.0284427i | ||||
\(807\) | −2.76523e10 | − | 1.00646e10i | −1.85214 | − | 0.674123i | ||||
\(808\) | −3.60181e9 | − | 1.31095e9i | −0.240204 | − | 0.0874272i | ||||
\(809\) | 4.84420e9 | − | 8.39041e9i | 0.321664 | − | 0.557139i | −0.659167 | − | 0.751996i | \(-0.729091\pi\) |
0.980832 | + | 0.194858i | \(0.0624245\pi\) | |||||||
\(810\) | −2.73935e9 | − | 4.74469e9i | −0.181113 | − | 0.313697i | ||||
\(811\) | 2.38526e9 | + | 1.35275e10i | 0.157023 | + | 0.890521i | 0.956913 | + | 0.290375i | \(0.0937800\pi\) |
−0.799890 | + | 0.600147i | \(0.795109\pi\) | |||||||
\(812\) | −6.93140e9 | − | 5.81614e9i | −0.454334 | − | 0.381231i | ||||
\(813\) | −4.02562e9 | + | 3.37790e9i | −0.262734 | + | 0.220460i | ||||
\(814\) | 2.03165e8 | − | 1.15221e9i | 0.0132027 | − | 0.0748763i | ||||
\(815\) | 6.61691e9 | − | 2.40836e9i | 0.428158 | − | 0.155837i | ||||
\(816\) | 2.36994e9 | 0.152694 | ||||||||
\(817\) | −2.23079e10 | + | 8.28902e8i | −1.43114 | + | 0.0531773i | ||||
\(818\) | −1.59277e10 | −1.01746 | ||||||||
\(819\) | −5.75022e9 | + | 2.09291e9i | −0.365755 | + | 0.133124i | ||||
\(820\) | −8.82049e8 | + | 5.00235e9i | −0.0558655 | + | 0.316829i | ||||
\(821\) | −8.11229e9 | + | 6.80702e9i | −0.511614 | + | 0.429295i | −0.861697 | − | 0.507424i | \(-0.830598\pi\) |
0.350083 | + | 0.936719i | \(0.386154\pi\) | |||||||
\(822\) | −8.79343e8 | − | 7.37856e8i | −0.0552213 | − | 0.0463362i | ||||
\(823\) | 4.38617e9 | + | 2.48752e10i | 0.274275 | + | 1.55549i | 0.741256 | + | 0.671223i | \(0.234231\pi\) |
−0.466981 | + | 0.884267i | \(0.654658\pi\) | |||||||
\(824\) | −7.58758e8 | − | 1.31421e9i | −0.0472452 | − | 0.0818311i | ||||
\(825\) | 2.39321e9 | − | 4.14516e9i | 0.148386 | − | 0.257012i | ||||
\(826\) | 9.16659e9 | + | 3.33637e9i | 0.565950 | + | 0.205989i | ||||
\(827\) | −1.76837e10 | − | 6.43633e9i | −1.08718 | − | 0.395702i | −0.264607 | − | 0.964356i | \(-0.585242\pi\) |
−0.822577 | + | 0.568654i | \(0.807464\pi\) | |||||||
\(828\) | −1.58980e9 | + | 2.75362e9i | −0.0973277 | + | 0.168577i | ||||
\(829\) | 1.36102e10 | + | 2.35736e10i | 0.829706 | + | 1.43709i | 0.898269 | + | 0.439446i | \(0.144825\pi\) |
−0.0685631 | + | 0.997647i | \(0.521841\pi\) | |||||||
\(830\) | 1.86597e9 | + | 1.05824e10i | 0.113274 | + | 0.642410i | ||||
\(831\) | 2.53574e10 | + | 2.12774e10i | 1.53285 | + | 1.28622i | ||||
\(832\) | 5.69917e8 | − | 4.78217e8i | 0.0343068 | − | 0.0287868i | ||||
\(833\) | −8.05635e7 | + | 4.56898e8i | −0.00482926 | + | 0.0273881i | ||||
\(834\) | −1.02104e10 | + | 3.71629e9i | −0.609485 | + | 0.221834i | ||||
\(835\) | 1.13407e10 | 0.674122 | ||||||||
\(836\) | −1.95657e9 | − | 1.52162e9i | −0.115817 | − | 0.0900706i | ||||
\(837\) | 1.65755e8 | 0.00977077 | ||||||||
\(838\) | 1.22329e10 | − | 4.45240e9i | 0.718082 | − | 0.261360i | ||||
\(839\) | −2.00838e9 | + | 1.13901e10i | −0.117403 | + | 0.665826i | 0.868129 | + | 0.496338i | \(0.165322\pi\) |
−0.985532 | + | 0.169488i | \(0.945789\pi\) | |||||||
\(840\) | 3.73075e9 | − | 3.13047e9i | 0.217180 | − | 0.182235i | ||||
\(841\) | 4.23990e9 | + | 3.55770e9i | 0.245793 | + | 0.206245i | ||||
\(842\) | 2.90328e9 | + | 1.64653e10i | 0.167609 | + | 0.950557i | ||||
\(843\) | −6.10147e8 | − | 1.05680e9i | −0.0350782 | − | 0.0607573i | ||||
\(844\) | −4.44821e9 | + | 7.70453e9i | −0.254675 | + | 0.441111i | ||||
\(845\) | −7.79032e9 | − | 2.83545e9i | −0.444178 | − | 0.161668i | ||||
\(846\) | −1.76769e10 | − | 6.43387e9i | −1.00371 | − | 0.365322i | ||||
\(847\) | 8.34028e9 | − | 1.44458e10i | 0.471616 | − | 0.816863i | ||||
\(848\) | −3.85515e9 | − | 6.67732e9i | −0.217098 | − | 0.376025i | ||||
\(849\) | 7.13748e9 | + | 4.04787e10i | 0.400284 | + | 2.27012i | ||||
\(850\) | 2.91869e9 | + | 2.44907e9i | 0.163013 | + | 0.136784i | ||||
\(851\) | −1.86651e9 | + | 1.56619e9i | −0.103819 | + | 0.0871146i | ||||
\(852\) | 1.44115e9 | − | 8.17315e9i | 0.0798306 | − | 0.452742i | ||||
\(853\) | 1.11636e10 | − | 4.06322e9i | 0.615862 | − | 0.224155i | −0.0152043 | − | 0.999884i | \(-0.504840\pi\) |
0.631066 | + | 0.775729i | \(0.282618\pi\) | |||||||
\(854\) | 5.46364e9 | 0.300179 | ||||||||
\(855\) | 9.92892e9 | + | 3.20160e9i | 0.543276 | + | 0.175181i | ||||
\(856\) | 2.76160e9 | 0.150488 | ||||||||
\(857\) | 7.61339e9 | − | 2.77105e9i | 0.413185 | − | 0.150387i | −0.127059 | − | 0.991895i | \(-0.540554\pi\) |
0.540245 | + | 0.841508i | \(0.318332\pi\) | |||||||
\(858\) | 3.42172e8 | − | 1.94056e9i | 0.0184944 | − | 0.104887i | ||||
\(859\) | 2.69868e9 | − | 2.26446e9i | 0.145270 | − | 0.121896i | −0.567257 | − | 0.823541i | \(-0.691995\pi\) |
0.712527 | + | 0.701645i | \(0.247551\pi\) | |||||||
\(860\) | 5.54862e9 | + | 4.65584e9i | 0.297468 | + | 0.249605i | ||||
\(861\) | −5.70593e9 | − | 3.23599e10i | −0.304660 | − | 1.72781i | ||||
\(862\) | −5.10374e9 | − | 8.83995e9i | −0.271402 | − | 0.470083i | ||||
\(863\) | −3.90888e9 | + | 6.77038e9i | −0.207021 | + | 0.358571i | −0.950775 | − | 0.309883i | \(-0.899710\pi\) |
0.743754 | + | 0.668454i | \(0.233044\pi\) | |||||||
\(864\) | 2.37355e8 | + | 8.63903e7i | 0.0125199 | + | 0.00455687i | ||||
\(865\) | −1.61357e9 | − | 5.87290e8i | −0.0847677 | − | 0.0308529i | ||||
\(866\) | −8.71484e9 | + | 1.50945e10i | −0.455981 | + | 0.789782i | ||||
\(867\) | −1.12481e10 | − | 1.94823e10i | −0.586155 | − | 1.01525i | ||||
\(868\) | −2.23831e8 | − | 1.26941e9i | −0.0116172 | − | 0.0658845i | ||||
\(869\) | 1.32739e8 | + | 1.11381e8i | 0.00686167 | + | 0.00575762i | ||||
\(870\) | −9.39446e9 | + | 7.88289e9i | −0.483676 | + | 0.405852i | ||||
\(871\) | 1.36477e9 | − | 7.73998e9i | 0.0699834 | − | 0.396896i | ||||
\(872\) | 9.23135e9 | − | 3.35994e9i | 0.471474 | − | 0.171603i | ||||
\(873\) | 2.91863e10 | 1.48467 | ||||||||
\(874\) | 1.08448e9 | + | 5.04665e9i | 0.0549457 | + | 0.255689i | ||||
\(875\) | 1.89210e10 | 0.954806 | ||||||||
\(876\) | 1.64697e10 | − | 5.99449e9i | 0.827794 | − | 0.301292i | ||||
\(877\) | −3.58474e9 | + | 2.03301e10i | −0.179456 | + | 1.01775i | 0.753417 | + | 0.657543i | \(0.228404\pi\) |
−0.932873 | + | 0.360205i | \(0.882707\pi\) | |||||||
\(878\) | −1.52361e10 | + | 1.27846e10i | −0.759702 | + | 0.637465i | ||||
\(879\) | −1.38217e10 | − | 1.15978e10i | −0.686435 | − | 0.575987i | ||||
\(880\) | 1.39653e8 | + | 7.92010e8i | 0.00690812 | + | 0.0391779i | ||||
\(881\) | −5.61850e9 | − | 9.73153e9i | −0.276825 | − | 0.479474i | 0.693769 | − | 0.720197i | \(-0.255949\pi\) |
−0.970594 | + | 0.240723i | \(0.922615\pi\) | |||||||
\(882\) | −4.94701e8 | + | 8.56848e8i | −0.0242774 | + | 0.0420498i | ||||
\(883\) | −2.89035e10 | − | 1.05200e10i | −1.41282 | − | 0.514226i | −0.480867 | − | 0.876794i | \(-0.659678\pi\) |
−0.931957 | + | 0.362568i | \(0.881900\pi\) | |||||||
\(884\) | 1.47395e9 | + | 5.36475e8i | 0.0717630 | + | 0.0261196i | ||||
\(885\) | 6.61063e9 | − | 1.14499e10i | 0.320584 | − | 0.555267i | ||||
\(886\) | 9.34737e8 | + | 1.61901e9i | 0.0451514 | + | 0.0782045i | ||||
\(887\) | −2.18874e9 | − | 1.24130e10i | −0.105308 | − | 0.597232i | −0.991097 | − | 0.133143i | \(-0.957493\pi\) |
0.885789 | − | 0.464089i | \(-0.153618\pi\) | |||||||
\(888\) | 2.96688e9 | + | 2.48951e9i | 0.142185 | + | 0.119308i | ||||
\(889\) | 2.71216e10 | − | 2.27577e10i | 1.29467 | − | 1.08636i | ||||
\(890\) | 2.20948e8 | − | 1.25306e9i | 0.0105057 | − | 0.0595809i | ||||
\(891\) | −5.49963e9 | + | 2.00170e9i | −0.260472 | + | 0.0948041i | ||||
\(892\) | 6.17686e9 | 0.291401 | ||||||||
\(893\) | −2.82896e10 | + | 1.15033e10i | −1.32937 | + | 0.540558i | ||||
\(894\) | −2.10799e10 | −0.986704 | ||||||||
\(895\) | −4.18753e9 | + | 1.52414e9i | −0.195244 | + | 0.0710630i | ||||
\(896\) | 3.41088e8 | − | 1.93440e9i | 0.0158412 | − | 0.0898399i | ||||
\(897\) | −3.14360e9 | + | 2.63779e9i | −0.145430 | + | 0.122030i | ||||
\(898\) | −4.93191e8 | − | 4.13836e8i | −0.0227273 | − | 0.0190705i | ||||
\(899\) | 5.63633e8 | + | 3.19652e9i | 0.0258724 | + | 0.146730i | ||||
\(900\) | 4.06264e9 | + | 7.03671e9i | 0.185763 | + | 0.321752i | ||||
\(901\) | 8.12795e9 | − | 1.40780e10i | 0.370207 | − | 0.641217i | ||||
\(902\) | 5.09892e9 | + | 1.85586e9i | 0.231343 | + | 0.0842018i | ||||
\(903\) | −4.40302e10 | − | 1.60257e10i | −1.98996 | − | 0.724285i | ||||
\(904\) | −6.00269e9 | + | 1.03970e10i | −0.270244 | + | 0.468076i | ||||
\(905\) | −3.10504e9 | − | 5.37808e9i | −0.139251 | − | 0.241189i | ||||
\(906\) | 3.76055e9 | + | 2.13271e10i | 0.167997 | + | 0.952760i | ||||
\(907\) | 2.53922e10 | + | 2.13065e10i | 1.12999 | + | 0.948173i | 0.999066 | − | 0.0432196i | \(-0.0137615\pi\) |
0.130923 | + | 0.991393i | \(0.458206\pi\) | |||||||
\(908\) | −1.15170e10 | + | 9.66390e9i | −0.510550 | + | 0.428403i | ||||
\(909\) | 2.99261e9 | − | 1.69719e10i | 0.132153 | − | 0.749475i | ||||
\(910\) | 3.02893e9 | − | 1.10244e9i | 0.133243 | − | 0.0484964i | ||||
\(911\) | 2.89526e10 | 1.26874 | 0.634371 | − | 0.773029i | \(-0.281259\pi\) | ||||
0.634371 | + | 0.773029i | \(0.281259\pi\) | |||||||
\(912\) | 7.60059e9 | − | 3.09060e9i | 0.331792 | − | 0.134915i | ||||
\(913\) | 1.14790e10 | 0.499180 | ||||||||
\(914\) | 8.12780e9 | − | 2.95828e9i | 0.352096 | − | 0.128153i | ||||
\(915\) | 1.28589e9 | − | 7.29263e9i | 0.0554919 | − | 0.314710i | ||||
\(916\) | 3.00090e9 | − | 2.51806e9i | 0.129008 | − | 0.108251i | ||||
\(917\) | −3.48832e10 | − | 2.92705e10i | −1.49391 | − | 1.25354i | ||||
\(918\) | 9.24748e7 | + | 5.24450e8i | 0.00394524 | + | 0.0223746i | ||||
\(919\) | −9.46743e8 | − | 1.63981e9i | −0.0402372 | − | 0.0696929i | 0.845205 | − | 0.534442i | \(-0.179478\pi\) |
−0.885443 | + | 0.464749i | \(0.846145\pi\) | |||||||
\(920\) | 8.37428e8 | − | 1.45047e9i | 0.0354560 | − | 0.0614117i | ||||
\(921\) | 1.82788e10 | + | 6.65293e9i | 0.770971 | + | 0.280611i | ||||
\(922\) | 1.13311e10 | + | 4.12420e9i | 0.476119 | + | 0.173293i | ||||
\(923\) | 2.74643e9 | − | 4.75696e9i | 0.114964 | − | 0.199124i | ||||
\(924\) | −2.60125e9 | − | 4.50551e9i | −0.108475 | − | 0.187885i | ||||
\(925\) | 1.08122e9 | + | 6.13189e9i | 0.0449177 | + | 0.254741i | ||||
\(926\) | −1.22784e10 | − | 1.03028e10i | −0.508164 | − | 0.426400i | ||||
\(927\) | 5.22675e9 | − | 4.38577e9i | 0.215503 | − | 0.180828i | ||||
\(928\) | −8.58898e8 | + | 4.87105e9i | −0.0352796 | + | 0.200081i | ||||
\(929\) | 1.43217e9 | − | 5.21269e8i | 0.0586058 | − | 0.0213308i | −0.312551 | − | 0.949901i | \(-0.601183\pi\) |
0.371157 | + | 0.928570i | \(0.378961\pi\) | |||||||
\(930\) | −1.74703e9 | −0.0712215 | ||||||||
\(931\) | 3.37461e8 | + | 1.57037e9i | 0.0137057 | + | 0.0637792i | ||||
\(932\) | −4.85891e9 | −0.196600 | ||||||||
\(933\) | 1.25894e10 | − | 4.58218e9i | 0.507482 | − | 0.184708i | ||||
\(934\) | 2.36250e9 | − | 1.33984e10i | 0.0948763 | − | 0.538070i | ||||
\(935\) | −1.29889e9 | + | 1.08990e9i | −0.0519676 | + | 0.0436060i | ||||
\(936\) | 2.56246e9 | + | 2.15016e9i | 0.102139 | + | 0.0857047i | ||||
\(937\) | −4.64380e9 | − | 2.63363e10i | −0.184410 | − | 1.04584i | −0.926711 | − | 0.375775i | \(-0.877377\pi\) |
0.742301 | − | 0.670067i | \(-0.233734\pi\) | |||||||
\(938\) | −1.03752e10 | − | 1.79704e10i | −0.410475 | − | 0.710963i | ||||
\(939\) | −1.68107e10 | + | 2.91170e10i | −0.662608 | + | 1.14767i | ||||
\(940\) | 9.31131e9 | + | 3.38904e9i | 0.365648 | + | 0.133085i | ||||
\(941\) | 3.40068e10 | + | 1.23775e10i | 1.33046 | + | 0.484249i | 0.906796 | − | 0.421569i | \(-0.138521\pi\) |
0.423666 | + | 0.905818i | \(0.360743\pi\) | |||||||
\(942\) | −1.72112e10 | + | 2.98107e10i | −0.670863 | + | 1.16197i | ||||
\(943\) | −5.65016e9 | − | 9.78637e9i | −0.219417 | − | 0.380041i | ||||
\(944\) | −9.25969e8 | − | 5.25143e9i | −0.0358257 | − | 0.203178i | ||||
\(945\) | 8.38325e8 | + | 7.03438e8i | 0.0323148 | + | 0.0271153i | ||||
\(946\) | 5.92728e9 | − | 4.97358e9i | 0.227634 | − | 0.191007i | ||||
\(947\) | 1.75300e9 | − | 9.94178e9i | 0.0670746 | − | 0.380399i | −0.932729 | − | 0.360578i | \(-0.882579\pi\) |
0.999804 | − | 0.0198207i | \(-0.00630953\pi\) | |||||||
\(948\) | −5.39012e8 | + | 1.96184e8i | −0.0205480 | + | 0.00747885i | ||||
\(949\) | 1.16001e10 | 0.440585 | ||||||||
\(950\) | 1.25543e10 | + | 4.04816e9i | 0.475072 | + | 0.153188i | ||||
\(951\) | 1.40381e10 | 0.529267 | ||||||||
\(952\) | 3.89154e9 | − | 1.41640e9i | 0.146181 | − | 0.0532057i | ||||
\(953\) | −6.39114e9 | + | 3.62459e10i | −0.239196 | + | 1.35655i | 0.594400 | + | 0.804170i | \(0.297390\pi\) |
−0.833595 | + | 0.552375i | \(0.813721\pi\) | |||||||
\(954\) | 2.65565e10 | − | 2.22835e10i | 0.990264 | − | 0.830930i | ||||
\(955\) | 1.19503e10 | + | 1.00275e10i | 0.443982 | + | 0.372545i | ||||
\(956\) | −1.66883e9 | − | 9.46442e9i | −0.0617746 | − | 0.350341i | ||||
\(957\) | 6.55026e9 | + | 1.13454e10i | 0.241583 | + | 0.418434i | ||||
\(958\) | −1.18863e7 | + | 2.05877e7i | −0.000436784 | + | 0.000756533i | ||||
\(959\) | −1.88490e9 | − | 6.86048e8i | −0.0690118 | − | 0.0251183i | ||||
\(960\) | −2.50168e9 | − | 9.10538e8i | −0.0912605 | − | 0.0332161i | ||||
\(961\) | 1.35251e10 | − | 2.34262e10i | 0.491597 | − | 0.851471i | ||||
\(962\) | 1.28167e9 | + | 2.21992e9i | 0.0464156 | + | 0.0803942i | ||||
\(963\) | 2.15614e9 | + | 1.22281e10i | 0.0778009 | + | 0.441231i | ||||
\(964\) | −1.55900e10 | − | 1.30816e10i | −0.560501 | − | 0.470317i | ||||
\(965\) | −1.57279e9 | + | 1.31973e9i | −0.0563411 | + | 0.0472758i | ||||
\(966\) | −1.88140e9 | + | 1.06700e10i | −0.0671524 | + | 0.380840i | ||||
\(967\) | 3.60892e10 | − | 1.31354e10i | 1.28347 | − | 0.467143i | 0.391889 | − | 0.920013i | \(-0.371822\pi\) |
0.891577 | + | 0.452870i | \(0.149600\pi\) | |||||||
\(968\) | −9.11832e9 | −0.323111 | ||||||||
\(969\) | 1.36554e10 | + | 1.06197e10i | 0.482136 | + | 0.374955i | ||||
\(970\) | −1.53739e10 | −0.540858 | ||||||||
\(971\) | 4.62125e10 | − | 1.68200e10i | 1.61992 | − | 0.589601i | 0.636550 | − | 0.771236i | \(-0.280361\pi\) |
0.983366 | + | 0.181634i | \(0.0581387\pi\) | |||||||
\(972\) | 3.55158e9 | − | 2.01420e10i | 0.124048 | − | 0.703511i | ||||
\(973\) | −1.45449e10 | + | 1.22046e10i | −0.506193 | + | 0.424746i | ||||
\(974\) | 6.12466e9 | + | 5.13920e9i | 0.212386 | + | 0.178213i | ||||
\(975\) | 1.82100e9 | + | 1.03274e10i | 0.0629207 | + | 0.356841i | ||||
\(976\) | −1.49333e9 | − | 2.58653e9i | −0.0514141 | − | 0.0890518i | ||||
\(977\) | −1.99766e10 | + | 3.46005e10i | −0.685315 | + | 1.18700i | 0.288022 | + | 0.957624i | \(0.407002\pi\) |
−0.973338 | + | 0.229377i | \(0.926331\pi\) | |||||||
\(978\) | 2.33988e10 | + | 8.51646e9i | 0.799848 | + | 0.291121i | ||||
\(979\) | −1.27725e9 | − | 4.64882e8i | −0.0435048 | − | 0.0158345i | ||||
\(980\) | 2.60584e8 | − | 4.51345e8i | 0.00884416 | − | 0.0153185i | ||||
\(981\) | 2.20848e10 | + | 3.82521e10i | 0.746884 | + | 1.29364i | ||||
\(982\) | −6.20946e9 | − | 3.52156e10i | −0.209249 | − | 1.18671i | ||||
\(983\) | 7.74926e9 | + | 6.50240e9i | 0.260209 | + | 0.218342i | 0.763554 | − | 0.645744i | \(-0.223453\pi\) |
−0.503344 | + | 0.864086i | \(0.667897\pi\) | |||||||
\(984\) | −1.37599e10 | + | 1.15459e10i | −0.460396 | + | 0.386318i | ||||
\(985\) | 1.88286e9 | − | 1.06782e10i | 0.0627757 | − | 0.356019i | ||||
\(986\) | −9.79934e9 | + | 3.56667e9i | −0.325558 | + | 0.118493i | ||||
\(987\) | −6.41001e10 | −2.12202 | ||||||||
\(988\) | 5.42670e9 | − | 2.01641e8i | 0.179014 | − | 0.00665166i | ||||
\(989\) | −1.61139e10 | −0.529679 | ||||||||
\(990\) | −3.39789e9 | + | 1.23673e9i | −0.111298 | + | 0.0405091i | ||||
\(991\) | −4.00880e9 | + | 2.27350e10i | −0.130845 | + | 0.742057i | 0.846819 | + | 0.531881i | \(0.178515\pi\) |
−0.977664 | + | 0.210176i | \(0.932596\pi\) | |||||||
\(992\) | −5.39770e8 | + | 4.52921e8i | −0.0175557 | + | 0.0147310i | ||||
\(993\) | 2.32016e10 | + | 1.94684e10i | 0.751961 | + | 0.630970i | ||||
\(994\) | −2.51830e9 | − | 1.42820e10i | −0.0813307 | − | 0.461249i | ||||
\(995\) | 8.71506e9 | + | 1.50949e10i | 0.280472 | + | 0.485792i | ||||
\(996\) | −1.89995e10 | + | 3.29081e10i | −0.609305 | + | 1.05535i | ||||
\(997\) | −4.39411e10 | − | 1.59932e10i | −1.40423 | − | 0.511097i | −0.474798 | − | 0.880095i | \(-0.657479\pi\) |
−0.929430 | + | 0.368998i | \(0.879701\pi\) | |||||||
\(998\) | −1.26982e10 | − | 4.62176e9i | −0.404375 | − | 0.147180i | ||||
\(999\) | −4.35143e8 | + | 7.53690e8i | −0.0138087 | + | 0.0239174i |
(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 | 38.8.e.a.5.1 | ✓ | 30 | |
19.4 | even | 9 | inner | 38.8.e.a.23.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.a.5.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.8.e.a.23.1 | yes | 30 | 19.4 | even | 9 | inner |