Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.8.g.a.24.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −13.3861 | − | 16.7857i | −1.18318 | − | 1.48366i | −0.838471 | − | 0.544946i | \(-0.816550\pi\) |
−0.344706 | − | 0.938711i | \(-0.612021\pi\) | |||||||
\(3\) | 9.91222 | + | 1.49403i | 0.211956 | + | 0.0319473i | 0.254162 | − | 0.967162i | \(-0.418200\pi\) |
−0.0422056 | + | 0.999109i | \(0.513438\pi\) | |||||||
\(4\) | −74.0876 | + | 324.599i | −0.578809 | + | 2.53593i | ||||
\(5\) | 247.262 | + | 168.580i | 0.884631 | + | 0.603131i | 0.918118 | − | 0.396308i | \(-0.129709\pi\) |
−0.0334869 | + | 0.999439i | \(0.510661\pi\) | |||||||
\(6\) | −107.608 | − | 186.382i | −0.203383 | − | 0.352270i | ||||
\(7\) | −560.464 | + | 970.753i | −0.617597 | + | 1.06971i | 0.372326 | + | 0.928102i | \(0.378560\pi\) |
−0.989923 | + | 0.141607i | \(0.954773\pi\) | |||||||
\(8\) | 3964.38 | − | 1909.15i | 2.73754 | − | 1.31833i | ||||
\(9\) | −1993.82 | − | 615.011i | −0.911668 | − | 0.281212i | ||||
\(10\) | −480.145 | − | 6407.09i | −0.151835 | − | 2.02610i | ||||
\(11\) | −736.137 | − | 3225.23i | −0.166757 | − | 0.730611i | −0.987279 | − | 0.158996i | \(-0.949174\pi\) |
0.820522 | − | 0.571615i | \(-0.193683\pi\) | |||||||
\(12\) | −1219.33 | + | 3106.81i | −0.203698 | + | 0.519015i | ||||
\(13\) | 725.353 | − | 9679.17i | 0.0915689 | − | 1.22190i | −0.742349 | − | 0.670013i | \(-0.766288\pi\) |
0.833918 | − | 0.551888i | \(-0.186093\pi\) | |||||||
\(14\) | 23797.2 | − | 3586.85i | 2.31781 | − | 0.349353i | ||||
\(15\) | 2199.05 | + | 2040.42i | 0.168235 | + | 0.156099i | ||||
\(16\) | −46717.3 | − | 22497.8i | −2.85139 | − | 1.37316i | ||||
\(17\) | 2017.35 | − | 1375.41i | 0.0995889 | − | 0.0678985i | −0.512502 | − | 0.858686i | \(-0.671281\pi\) |
0.612091 | + | 0.790788i | \(0.290329\pi\) | |||||||
\(18\) | 16366.1 | + | 41700.2i | 0.661442 | + | 1.68533i | ||||
\(19\) | −28988.4 | + | 8941.74i | −0.969587 | + | 0.299078i | −0.738799 | − | 0.673926i | \(-0.764607\pi\) |
−0.230788 | + | 0.973004i | \(0.574130\pi\) | |||||||
\(20\) | −73040.0 | + | 67771.2i | −2.04153 | + | 1.89426i | ||||
\(21\) | −7005.78 | + | 8784.97i | −0.165078 | + | 0.207001i | ||||
\(22\) | −44283.6 | + | 55529.8i | −0.886672 | + | 1.11185i | ||||
\(23\) | 83611.8 | − | 77580.4i | 1.43291 | − | 1.32955i | 0.572549 | − | 0.819870i | \(-0.305955\pi\) |
0.860365 | − | 0.509679i | \(-0.170236\pi\) | |||||||
\(24\) | 42148.2 | − | 13001.0i | 0.622356 | − | 0.191972i | ||||
\(25\) | 4176.83 | + | 10642.4i | 0.0534634 | + | 0.136223i | ||||
\(26\) | −172181. | + | 117391.i | −1.92123 | + | 1.30987i | ||||
\(27\) | −38596.2 | − | 18586.9i | −0.377373 | − | 0.181733i | ||||
\(28\) | −273582. | − | 253847.i | −2.35523 | − | 2.18534i | ||||
\(29\) | −65789.8 | + | 9916.21i | −0.500917 | + | 0.0755010i | −0.394640 | − | 0.918836i | \(-0.629131\pi\) |
−0.106276 | + | 0.994337i | \(0.533893\pi\) | |||||||
\(30\) | 4813.06 | − | 64225.8i | 0.0325459 | − | 0.434295i | ||||
\(31\) | 96263.4 | − | 245275.i | 0.580357 | − | 1.47873i | −0.275391 | − | 0.961332i | \(-0.588807\pi\) |
0.855748 | − | 0.517393i | \(-0.173097\pi\) | |||||||
\(32\) | 122394. | + | 536243.i | 0.660290 | + | 2.89292i | ||||
\(33\) | −2478.18 | − | 33069.0i | −0.0120042 | − | 0.160185i | ||||
\(34\) | −50091.7 | − | 15451.2i | −0.218569 | − | 0.0674197i | ||||
\(35\) | −302231. | + | 145547.i | −1.19152 | + | 0.573806i | ||||
\(36\) | 347349. | − | 601626.i | 1.24082 | − | 2.14916i | ||||
\(37\) | 84355.9 | + | 146109.i | 0.273785 | + | 0.474209i | 0.969828 | − | 0.243791i | \(-0.0783910\pi\) |
−0.696043 | + | 0.718000i | \(0.745058\pi\) | |||||||
\(38\) | 538135. | + | 366894.i | 1.59092 | + | 1.08467i | ||||
\(39\) | 21650.8 | − | 94858.3i | 0.0584451 | − | 0.256065i | ||||
\(40\) | 1.30208e6 | + | 196258.i | 3.21684 | + | 0.484860i | ||||
\(41\) | −68961.3 | − | 86474.8i | −0.156265 | − | 0.195950i | 0.697536 | − | 0.716550i | \(-0.254280\pi\) |
−0.853801 | + | 0.520600i | \(0.825708\pi\) | |||||||
\(42\) | 241242. | 0.502435 | ||||||||
\(43\) | −64625.6 | − | 517341.i | −0.123955 | − | 0.992288i | ||||
\(44\) | 1.10144e6 | 1.94930 | ||||||||
\(45\) | −389316. | − | 488187.i | −0.636882 | − | 0.798624i | ||||
\(46\) | −2.42148e6 | − | 364979.i | −3.66799 | − | 0.552860i | ||||
\(47\) | −102094. | + | 447305.i | −0.143436 | + | 0.628436i | 0.851186 | + | 0.524865i | \(0.175884\pi\) |
−0.994622 | + | 0.103571i | \(0.966973\pi\) | |||||||
\(48\) | −429459. | − | 292800.i | −0.560503 | − | 0.382144i | ||||
\(49\) | −216469. | − | 374936.i | −0.262851 | − | 0.455272i | ||||
\(50\) | 122728. | − | 212571.i | 0.138851 | − | 0.240497i | ||||
\(51\) | 22051.3 | − | 10619.4i | 0.0232777 | − | 0.0112099i | ||||
\(52\) | 3.08811e6 | + | 952555.i | 3.04565 | + | 0.939460i | ||||
\(53\) | −65740.6 | − | 877247.i | −0.0606552 | − | 0.809387i | −0.941721 | − | 0.336394i | \(-0.890793\pi\) |
0.881066 | − | 0.472993i | \(-0.156826\pi\) | |||||||
\(54\) | 204659. | + | 896669.i | 0.176869 | + | 0.774915i | ||||
\(55\) | 361691. | − | 921574.i | 0.293135 | − | 0.746897i | ||||
\(56\) | −368587. | + | 4.91845e6i | −0.280467 | + | 3.74257i | ||||
\(57\) | −300699. | + | 45323.0i | −0.215065 | + | 0.0324158i | ||||
\(58\) | 1.04712e6 | + | 971585.i | 0.704691 | + | 0.653857i | ||||
\(59\) | −2.67214e6 | − | 1.28683e6i | −1.69386 | − | 0.815719i | −0.994935 | − | 0.100523i | \(-0.967948\pi\) |
−0.698924 | − | 0.715196i | \(-0.746337\pi\) | |||||||
\(60\) | −825240. | + | 562639.i | −0.493232 | + | 0.336280i | ||||
\(61\) | 578991. | + | 1.47524e6i | 0.326601 | + | 0.832165i | 0.996008 | + | 0.0892692i | \(0.0284531\pi\) |
−0.669407 | + | 0.742896i | \(0.733452\pi\) | |||||||
\(62\) | −5.40570e6 | + | 1.66744e6i | −2.88059 | + | 0.888543i | ||||
\(63\) | 1.71449e6 | − | 1.59081e6i | 0.863858 | − | 0.801543i | ||||
\(64\) | 3.22465e6 | − | 4.04359e6i | 1.53763 | − | 1.92813i | ||||
\(65\) | 1.81107e6 | − | 2.27101e6i | 0.817971 | − | 1.02570i | ||||
\(66\) | −521911. | + | 484263.i | −0.223457 | + | 0.207337i | ||||
\(67\) | −3.26436e6 | + | 1.00692e6i | −1.32598 | + | 0.409010i | −0.875259 | − | 0.483655i | \(-0.839309\pi\) |
−0.450720 | + | 0.892665i | \(0.648833\pi\) | |||||||
\(68\) | 296995. | + | 756731.i | 0.114543 | + | 0.291851i | ||||
\(69\) | 944685. | − | 644076.i | 0.346191 | − | 0.236029i | ||||
\(70\) | 6.48880e6 | + | 3.12484e6i | 2.26111 | + | 1.08889i | ||||
\(71\) | 401770. | + | 372788.i | 0.133221 | + | 0.123611i | 0.743970 | − | 0.668214i | \(-0.232941\pi\) |
−0.610748 | + | 0.791825i | \(0.709131\pi\) | |||||||
\(72\) | −9.07840e6 | + | 1.36835e6i | −2.86646 | + | 0.432049i | ||||
\(73\) | −174899. | + | 2.33387e6i | −0.0526209 | + | 0.702177i | 0.907045 | + | 0.421034i | \(0.138333\pi\) |
−0.959666 | + | 0.281143i | \(0.909286\pi\) | |||||||
\(74\) | 1.32333e6 | − | 3.37180e6i | 0.379628 | − | 0.967277i | ||||
\(75\) | 25501.6 | + | 111730.i | 0.00697997 | + | 0.0305813i | ||||
\(76\) | −754798. | − | 1.00721e7i | −0.197235 | − | 2.63191i | ||||
\(77\) | 3.54348e6 | + | 1.09302e6i | 0.884529 | + | 0.272841i | ||||
\(78\) | −1.88208e6 | + | 906362.i | −0.449063 | + | 0.216257i | ||||
\(79\) | 3.18626e6 | − | 5.51876e6i | 0.727086 | − | 1.25935i | −0.231024 | − | 0.972948i | \(-0.574207\pi\) |
0.958110 | − | 0.286402i | \(-0.0924592\pi\) | |||||||
\(80\) | −7.75870e6 | − | 1.34385e7i | −1.69424 | − | 2.93450i | ||||
\(81\) | 3.41550e6 | + | 2.32865e6i | 0.714096 | + | 0.486862i | ||||
\(82\) | −528412. | + | 2.31512e6i | −0.105834 | + | 0.463688i | ||||
\(83\) | 559090. | + | 84269.3i | 0.107327 | + | 0.0161769i | 0.202486 | − | 0.979285i | \(-0.435098\pi\) |
−0.0951592 | + | 0.995462i | \(0.530336\pi\) | |||||||
\(84\) | −2.33255e6 | − | 2.92492e6i | −0.429391 | − | 0.538440i | ||||
\(85\) | 730681. | 0.129051 | ||||||||
\(86\) | −7.81883e6 | + | 8.00998e6i | −1.32555 | + | 1.35796i | ||||
\(87\) | −666938. | −0.108585 | ||||||||
\(88\) | −9.07576e6 | − | 1.13806e7i | −1.41969 | − | 1.78024i | ||||
\(89\) | −2.04141e6 | − | 307693.i | −0.306949 | − | 0.0462651i | −0.00623815 | − | 0.999981i | \(-0.501986\pi\) |
−0.300710 | + | 0.953715i | \(0.597224\pi\) | |||||||
\(90\) | −2.98311e6 | + | 1.30699e7i | −0.431341 | + | 1.88983i | ||||
\(91\) | 8.98955e6 | + | 6.12897e6i | 1.25053 | + | 0.852595i | ||||
\(92\) | 1.89879e7 | + | 3.28880e7i | 2.54226 | + | 4.40332i | ||||
\(93\) | 1.32063e6 | − | 2.28740e6i | 0.170252 | − | 0.294884i | ||||
\(94\) | 8.87495e6 | − | 4.27395e6i | 1.10209 | − | 0.530740i | ||||
\(95\) | −8.67513e6 | − | 2.67592e6i | −1.03811 | − | 0.320214i | ||||
\(96\) | 412034. | + | 5.49821e6i | 0.0475318 | + | 0.634267i | ||||
\(97\) | −1.48789e6 | − | 6.51888e6i | −0.165528 | − | 0.725224i | −0.987748 | − | 0.156055i | \(-0.950122\pi\) |
0.822221 | − | 0.569169i | \(-0.192735\pi\) | |||||||
\(98\) | −3.39586e6 | + | 8.65252e6i | −0.364468 | + | 0.928648i | ||||
\(99\) | −515828. | + | 6.88325e6i | −0.0534296 | + | 0.712968i | ||||
\(100\) | −3.76396e6 | + | 567325.i | −0.376396 | + | 0.0567325i | ||||
\(101\) | 3.46087e6 | + | 3.21122e6i | 0.334242 | + | 0.310131i | 0.829382 | − | 0.558682i | \(-0.188693\pi\) |
−0.495140 | + | 0.868813i | \(0.664883\pi\) | |||||||
\(102\) | −473435. | − | 227994.i | −0.0441733 | − | 0.0212727i | ||||
\(103\) | −1.30961e7 | + | 8.92880e6i | −1.18090 | + | 0.805124i | −0.984497 | − | 0.175399i | \(-0.943878\pi\) |
−0.196403 | + | 0.980523i | \(0.562926\pi\) | |||||||
\(104\) | −1.56034e7 | − | 3.97567e7i | −1.36020 | − | 3.46572i | ||||
\(105\) | −3.21323e6 | + | 991151.i | −0.270882 | + | 0.0835559i | ||||
\(106\) | −1.38452e7 | + | 1.28464e7i | −1.12909 | + | 1.04764i | ||||
\(107\) | 2.52180e6 | − | 3.16224e6i | 0.199007 | − | 0.249547i | −0.672308 | − | 0.740272i | \(-0.734697\pi\) |
0.871314 | + | 0.490725i | \(0.163268\pi\) | |||||||
\(108\) | 8.89279e6 | − | 1.11512e7i | 0.679290 | − | 0.851802i | ||||
\(109\) | 1.75864e7 | − | 1.63178e7i | 1.30072 | − | 1.20689i | 0.336535 | − | 0.941671i | \(-0.390745\pi\) |
0.964187 | − | 0.265223i | \(-0.0854455\pi\) | |||||||
\(110\) | −2.03109e7 | + | 6.26507e6i | −1.45497 | + | 0.448799i | ||||
\(111\) | 617864. | + | 1.57429e6i | 0.0428808 | + | 0.109258i | ||||
\(112\) | 4.80232e7 | − | 3.27417e7i | 3.22989 | − | 2.20210i | ||||
\(113\) | −9.50369e6 | − | 4.57673e6i | −0.619609 | − | 0.298388i | 0.0976220 | − | 0.995224i | \(-0.468876\pi\) |
−0.717231 | + | 0.696836i | \(0.754591\pi\) | |||||||
\(114\) | 4.78596e6 | + | 4.44073e6i | 0.302554 | + | 0.280729i | ||||
\(115\) | 3.37525e7 | − | 5.08737e6i | 2.06949 | − | 0.311926i | ||||
\(116\) | 1.65541e6 | − | 2.20900e7i | 0.0984699 | − | 1.31399i | ||||
\(117\) | −7.39902e6 | + | 1.88524e7i | −0.427094 | + | 1.08822i | ||||
\(118\) | 1.41692e7 | + | 6.20794e7i | 0.793887 | + | 3.47824i | ||||
\(119\) | 204527. | + | 2.72922e6i | 0.0111259 | + | 0.148465i | ||||
\(120\) | 1.26133e7 | + | 3.89070e6i | 0.666340 | + | 0.205539i | ||||
\(121\) | 7.69714e6 | − | 3.70675e6i | 0.394985 | − | 0.190215i | ||||
\(122\) | 1.70125e7 | − | 2.94665e7i | 0.848221 | − | 1.46916i | ||||
\(123\) | −554364. | − | 960187.i | −0.0268613 | − | 0.0465252i | ||||
\(124\) | 7.24841e7 | + | 4.94188e7i | 3.41403 | + | 2.32764i | ||||
\(125\) | 4.44118e6 | − | 1.94581e7i | 0.203382 | − | 0.891076i | ||||
\(126\) | −4.96532e7 | − | 7.48401e6i | −2.21131 | − | 0.333302i | ||||
\(127\) | −1.10251e7 | − | 1.38251e7i | −0.477606 | − | 0.598899i | 0.483409 | − | 0.875395i | \(-0.339398\pi\) |
−0.961015 | + | 0.276495i | \(0.910827\pi\) | |||||||
\(128\) | −4.06356e7 | −1.71266 | ||||||||
\(129\) | 132338. | − | 5.22455e6i | 0.00542777 | − | 0.214282i | ||||
\(130\) | −6.23635e7 | −2.48960 | ||||||||
\(131\) | −117280. | − | 147065.i | −0.00455801 | − | 0.00571556i | 0.779547 | − | 0.626343i | \(-0.215449\pi\) |
−0.784105 | + | 0.620628i | \(0.786878\pi\) | |||||||
\(132\) | 1.09178e7 | + | 1.64559e6i | 0.413166 | + | 0.0622747i | ||||
\(133\) | 7.56675e6 | − | 3.31521e7i | 0.278887 | − | 1.22189i | ||||
\(134\) | 6.05990e7 | + | 4.13157e7i | 2.17570 | + | 1.48337i | ||||
\(135\) | −6.40997e6 | − | 1.11024e7i | −0.224227 | − | 0.388372i | ||||
\(136\) | 5.37171e6 | − | 9.30407e6i | 0.183116 | − | 0.317166i | ||||
\(137\) | −3.61854e7 | + | 1.74260e7i | −1.20230 | + | 0.578995i | −0.924329 | − | 0.381596i | \(-0.875375\pi\) |
−0.277966 | + | 0.960591i | \(0.589660\pi\) | |||||||
\(138\) | −2.34569e7 | − | 7.23550e6i | −0.759791 | − | 0.234364i | ||||
\(139\) | 3.18466e6 | + | 4.24963e7i | 0.100580 | + | 1.34214i | 0.787906 | + | 0.615796i | \(0.211165\pi\) |
−0.687326 | + | 0.726349i | \(0.741216\pi\) | |||||||
\(140\) | −2.48528e7 | − | 1.08887e8i | −0.765468 | − | 3.35373i | ||||
\(141\) | −1.68027e6 | + | 4.28125e6i | −0.0504791 | + | 0.128619i | ||||
\(142\) | 879355. | − | 1.17342e7i | 0.0257724 | − | 0.343909i | ||||
\(143\) | −3.17515e7 | + | 4.78577e6i | −0.908004 | + | 0.136860i | ||||
\(144\) | 7.93093e7 | + | 7.35882e7i | 2.21338 | + | 2.05371i | ||||
\(145\) | −1.79390e7 | − | 8.63896e6i | −0.488663 | − | 0.235328i | ||||
\(146\) | 4.15168e7 | − | 2.83057e7i | 1.10405 | − | 0.752729i | ||||
\(147\) | −1.58553e6 | − | 4.03986e6i | −0.0411683 | − | 0.104895i | ||||
\(148\) | −5.36765e7 | + | 1.65570e7i | −1.36103 | + | 0.419822i | ||||
\(149\) | −2.34973e7 | + | 2.18023e7i | −0.581925 | + | 0.539947i | −0.915261 | − | 0.402861i | \(-0.868016\pi\) |
0.333337 | + | 0.942808i | \(0.391825\pi\) | |||||||
\(150\) | 1.53409e6 | − | 1.92369e6i | 0.0371135 | − | 0.0465389i | ||||
\(151\) | 1.88820e7 | − | 2.36773e7i | 0.446302 | − | 0.559645i | −0.506890 | − | 0.862011i | \(-0.669205\pi\) |
0.953192 | + | 0.302366i | \(0.0977763\pi\) | |||||||
\(152\) | −9.78501e7 | + | 9.07916e7i | −2.26000 | + | 2.09697i | ||||
\(153\) | −4.86813e6 | + | 1.50162e6i | −0.109886 | + | 0.0338953i | ||||
\(154\) | −2.90864e7 | − | 7.41109e7i | −0.641752 | − | 1.63516i | ||||
\(155\) | 6.51508e7 | − | 4.44191e7i | 1.40527 | − | 0.958094i | ||||
\(156\) | 2.91869e7 | + | 1.40556e7i | 0.615533 | + | 0.296425i | ||||
\(157\) | −3.43989e7 | − | 3.19175e7i | −0.709407 | − | 0.658233i | 0.240542 | − | 0.970639i | \(-0.422675\pi\) |
−0.949949 | + | 0.312406i | \(0.898865\pi\) | |||||||
\(158\) | −1.35288e8 | + | 2.03913e7i | −2.72871 | + | 0.411288i | ||||
\(159\) | 658995. | − | 8.79368e6i | 0.0130015 | − | 0.173493i | ||||
\(160\) | −6.01366e7 | + | 1.53226e8i | −1.16070 | + | 2.95741i | ||||
\(161\) | 2.84500e7 | + | 1.24647e8i | 0.537268 | + | 2.35393i | ||||
\(162\) | −6.63238e6 | − | 8.85029e7i | −0.122565 | − | 1.63552i | ||||
\(163\) | −7.06211e7 | − | 2.17837e7i | −1.27725 | − | 0.393981i | −0.419367 | − | 0.907817i | \(-0.637748\pi\) |
−0.857888 | + | 0.513836i | \(0.828224\pi\) | |||||||
\(164\) | 3.31788e7 | − | 1.59781e7i | 0.587364 | − | 0.282860i | ||||
\(165\) | 4.96202e6 | − | 8.59447e6i | 0.0859933 | − | 0.148945i | ||||
\(166\) | −6.06953e6 | − | 1.05127e7i | −0.102986 | − | 0.178376i | ||||
\(167\) | 1.36423e7 | + | 9.30114e6i | 0.226662 | + | 0.154536i | 0.671327 | − | 0.741162i | \(-0.265725\pi\) |
−0.444665 | + | 0.895697i | \(0.646677\pi\) | |||||||
\(168\) | −1.10018e7 | + | 4.82020e7i | −0.179012 | + | 0.784301i | ||||
\(169\) | −3.11125e7 | − | 4.68945e6i | −0.495828 | − | 0.0747341i | ||||
\(170\) | −9.78098e6 | − | 1.22650e7i | −0.152690 | − | 0.191468i | ||||
\(171\) | 6.32969e7 | 0.968046 | ||||||||
\(172\) | 1.72716e8 | + | 1.73512e7i | 2.58812 | + | 0.260003i | ||||
\(173\) | 4.26447e7 | 0.626186 | 0.313093 | − | 0.949722i | \(-0.398635\pi\) | ||||
0.313093 | + | 0.949722i | \(0.398635\pi\) | |||||||
\(174\) | 8.92771e6 | + | 1.11950e7i | 0.128475 | + | 0.161102i | ||||
\(175\) | −1.26721e7 | − | 1.91001e6i | −0.178737 | − | 0.0269403i | ||||
\(176\) | −3.81704e7 | + | 1.67235e8i | −0.527754 | + | 2.31224i | ||||
\(177\) | −2.45643e7 | − | 1.67476e7i | −0.332964 | − | 0.227011i | ||||
\(178\) | 2.21617e7 | + | 3.83853e7i | 0.294533 | + | 0.510146i | ||||
\(179\) | −3.86123e6 | + | 6.68784e6i | −0.0503199 | + | 0.0871566i | −0.890088 | − | 0.455788i | \(-0.849357\pi\) |
0.839768 | + | 0.542945i | \(0.182691\pi\) | |||||||
\(180\) | 1.87308e8 | − | 9.02030e7i | 2.39389 | − | 1.15284i | ||||
\(181\) | −4.99652e7 | − | 1.54122e7i | −0.626315 | − | 0.193192i | −0.0346797 | − | 0.999398i | \(-0.511041\pi\) |
−0.591635 | + | 0.806206i | \(0.701517\pi\) | |||||||
\(182\) | −1.74563e7 | − | 2.32939e8i | −0.214636 | − | 2.86412i | ||||
\(183\) | 3.53503e6 | + | 1.54880e7i | 0.0426397 | + | 0.186817i | ||||
\(184\) | 1.83357e8 | − | 4.67186e8i | 2.16987 | − | 5.52875i | ||||
\(185\) | −3.77305e6 | + | 5.03479e7i | −0.0438118 | + | 0.584628i | ||||
\(186\) | −5.60736e7 | + | 8.45174e6i | −0.638945 | + | 0.0963055i | ||||
\(187\) | −5.92105e6 | − | 5.49394e6i | −0.0662146 | − | 0.0614381i | ||||
\(188\) | −1.37631e8 | − | 6.62794e7i | −1.51065 | − | 0.727489i | ||||
\(189\) | 3.96751e7 | − | 2.70500e7i | 0.427466 | − | 0.291441i | ||||
\(190\) | 7.12091e7 | + | 1.81438e8i | 0.753179 | + | 1.91907i | ||||
\(191\) | 1.51390e6 | − | 466975.i | 0.0157210 | − | 0.00484928i | −0.286885 | − | 0.957965i | \(-0.592620\pi\) |
0.302606 | + | 0.953116i | \(0.402143\pi\) | |||||||
\(192\) | 3.80047e7 | − | 3.52632e7i | 0.387510 | − | 0.359557i | ||||
\(193\) | 6.74141e6 | − | 8.45346e6i | 0.0674994 | − | 0.0846416i | −0.746936 | − | 0.664896i | \(-0.768476\pi\) |
0.814435 | + | 0.580255i | \(0.197047\pi\) | |||||||
\(194\) | −8.95066e7 | + | 1.12238e8i | −0.880135 | + | 1.10365i | ||||
\(195\) | 2.13447e7 | − | 1.98049e7i | 0.206143 | − | 0.191273i | ||||
\(196\) | 1.37741e8 | − | 4.24876e7i | 1.30668 | − | 0.403057i | ||||
\(197\) | 6.41160e7 | + | 1.63365e8i | 0.597495 | + | 1.52239i | 0.834570 | + | 0.550902i | \(0.185716\pi\) |
−0.237074 | + | 0.971492i | \(0.576189\pi\) | |||||||
\(198\) | 1.22445e8 | − | 8.34815e7i | 1.12102 | − | 0.764297i | ||||
\(199\) | −1.60981e8 | − | 7.75244e7i | −1.44807 | − | 0.697353i | −0.465810 | − | 0.884885i | \(-0.654237\pi\) |
−0.982259 | + | 0.187532i | \(0.939951\pi\) | |||||||
\(200\) | 3.68764e7 | + | 3.42163e7i | 0.325945 | + | 0.302432i | ||||
\(201\) | −3.38615e7 | + | 5.10379e6i | −0.294117 | + | 0.0443309i | ||||
\(202\) | 7.57481e6 | − | 1.01079e8i | 0.0646609 | − | 0.862840i | ||||
\(203\) | 2.72466e7 | − | 6.94233e7i | 0.228600 | − | 0.582464i | ||||
\(204\) | 1.81330e6 | + | 7.94461e6i | 0.0149543 | + | 0.0655189i | ||||
\(205\) | −2.47357e6 | − | 3.30074e7i | −0.0200533 | − | 0.267592i | ||||
\(206\) | 3.25182e8 | + | 1.00306e8i | 2.59174 | + | 0.799447i | ||||
\(207\) | −2.14419e8 | + | 1.03259e8i | −1.68023 | + | 0.809155i | ||||
\(208\) | −2.51647e8 | + | 4.35865e8i | −1.93896 | + | 3.35839i | ||||
\(209\) | 5.01786e7 | + | 8.69119e7i | 0.380195 | + | 0.658517i | ||||
\(210\) | 5.96498e7 | + | 4.06686e7i | 0.444469 | + | 0.303034i | ||||
\(211\) | −2.77958e7 | + | 1.21781e8i | −0.203700 | + | 0.892468i | 0.764960 | + | 0.644078i | \(0.222759\pi\) |
−0.968660 | + | 0.248390i | \(0.920099\pi\) | |||||||
\(212\) | 2.89624e8 | + | 4.36538e7i | 2.08766 | + | 0.314664i | ||||
\(213\) | 3.42548e6 | + | 4.29542e6i | 0.0242881 | + | 0.0304563i | ||||
\(214\) | −8.68375e7 | −0.605702 | ||||||||
\(215\) | 7.12341e7 | − | 1.38813e8i | 0.488825 | − | 0.952570i | ||||
\(216\) | −1.88495e8 | −1.27266 | ||||||||
\(217\) | 1.84149e8 | + | 2.30916e8i | 1.22338 | + | 1.53407i | ||||
\(218\) | −5.09319e8 | − | 7.67675e7i | −3.32960 | − | 0.501856i | ||||
\(219\) | −5.22051e6 | + | 2.28725e7i | −0.0335860 | + | 0.147150i | ||||
\(220\) | 2.72345e8 | + | 1.85682e8i | 1.72441 | + | 1.17568i | ||||
\(221\) | −1.18495e7 | − | 2.05240e7i | −0.0738461 | − | 0.127905i | ||||
\(222\) | 1.81547e7 | − | 3.14449e7i | 0.111366 | − | 0.192892i | ||||
\(223\) | −1.97552e8 | + | 9.51361e7i | −1.19293 | + | 0.574484i | −0.921652 | − | 0.388017i | \(-0.873160\pi\) |
−0.271277 | + | 0.962501i | \(0.587446\pi\) | |||||||
\(224\) | −5.89157e8 | − | 1.81731e8i | −3.50238 | − | 1.08034i | ||||
\(225\) | −1.78265e6 | − | 2.37878e7i | −0.0104334 | − | 0.139224i | ||||
\(226\) | 5.03940e7 | + | 2.20790e8i | 0.290402 | + | 1.27233i | ||||
\(227\) | 2.12681e6 | − | 5.41901e6i | 0.0120681 | − | 0.0307489i | −0.924713 | − | 0.380666i | \(-0.875695\pi\) |
0.936781 | + | 0.349917i | \(0.113790\pi\) | |||||||
\(228\) | 7.56623e6 | − | 1.00964e8i | 0.0422773 | − | 0.564152i | ||||
\(229\) | 3.33245e8 | − | 5.02286e7i | 1.83375 | − | 0.276393i | 0.861058 | − | 0.508506i | \(-0.169802\pi\) |
0.972689 | + | 0.232114i | \(0.0745641\pi\) | |||||||
\(230\) | −5.37210e8 | − | 4.98458e8i | −2.91137 | − | 2.70135i | ||||
\(231\) | 3.34907e7 | + | 1.61283e7i | 0.178765 | + | 0.0860887i | ||||
\(232\) | −2.41884e8 | + | 1.64914e8i | −1.27174 | + | 0.867061i | ||||
\(233\) | 1.27621e8 | + | 3.25174e8i | 0.660963 | + | 1.68411i | 0.727310 | + | 0.686309i | \(0.240770\pi\) |
−0.0663467 | + | 0.997797i | \(0.521134\pi\) | |||||||
\(234\) | 4.15494e8 | − | 1.28163e8i | 2.11987 | − | 0.653893i | ||||
\(235\) | −1.00651e8 | + | 9.33902e7i | −0.505917 | + | 0.469423i | ||||
\(236\) | 6.15677e8 | − | 7.72035e8i | 3.04903 | − | 3.82336i | ||||
\(237\) | 3.98280e7 | − | 4.99428e7i | 0.194343 | − | 0.243699i | ||||
\(238\) | 4.30739e7 | − | 3.99668e7i | 0.207107 | − | 0.192167i | ||||
\(239\) | 4.08562e7 | − | 1.26025e7i | 0.193582 | − | 0.0597122i | −0.196448 | − | 0.980514i | \(-0.562941\pi\) |
0.390030 | + | 0.920802i | \(0.372465\pi\) | |||||||
\(240\) | −5.68285e7 | − | 1.44797e8i | −0.265355 | − | 0.676113i | ||||
\(241\) | 1.74158e8 | − | 1.18739e8i | 0.801462 | − | 0.546428i | −0.0918982 | − | 0.995768i | \(-0.529293\pi\) |
0.893360 | + | 0.449341i | \(0.148341\pi\) | |||||||
\(242\) | −1.65255e8 | − | 7.95826e7i | −0.749550 | − | 0.360964i | ||||
\(243\) | 9.90541e7 | + | 9.19088e7i | 0.442844 | + | 0.410899i | ||||
\(244\) | −5.21759e8 | + | 7.86425e7i | −2.29935 | + | 0.346571i | ||||
\(245\) | 9.68219e6 | − | 1.29200e8i | 0.0420622 | − | 0.561281i | ||||
\(246\) | −8.69659e6 | + | 2.21586e7i | −0.0372457 | + | 0.0949005i | ||||
\(247\) | 6.55218e7 | + | 2.87070e8i | 0.276660 | + | 1.21213i | ||||
\(248\) | −8.66411e7 | − | 1.15615e9i | −0.360697 | − | 4.81317i | ||||
\(249\) | 5.41592e6 | + | 1.67059e6i | 0.0222318 | + | 0.00685760i | ||||
\(250\) | −3.86067e8 | + | 1.85920e8i | −1.56269 | + | 0.752551i | ||||
\(251\) | −6.93886e7 | + | 1.20185e8i | −0.276968 | + | 0.479723i | −0.970630 | − | 0.240578i | \(-0.922663\pi\) |
0.693661 | + | 0.720301i | \(0.255996\pi\) | |||||||
\(252\) | 3.89354e8 | + | 6.74380e8i | 1.53265 | + | 2.65462i | ||||
\(253\) | −3.11764e8 | − | 2.12557e8i | −1.21033 | − | 0.825190i | ||||
\(254\) | −8.44792e7 | + | 3.70128e8i | −0.323468 | + | 1.41721i | ||||
\(255\) | 7.24267e6 | + | 1.09166e6i | 0.0273532 | + | 0.00412283i | ||||
\(256\) | 1.31197e8 | + | 1.64516e8i | 0.488748 | + | 0.612871i | ||||
\(257\) | 9.85701e7 | 0.362226 | 0.181113 | − | 0.983462i | \(-0.442030\pi\) | ||||
0.181113 | + | 0.983462i | \(0.442030\pi\) | |||||||
\(258\) | −8.94691e7 | + | 6.77151e7i | −0.324343 | + | 0.245480i | ||||
\(259\) | −1.89114e8 | −0.676355 | ||||||||
\(260\) | 6.02989e8 | + | 7.56124e8i | 2.12766 | + | 2.66800i | ||||
\(261\) | 1.37271e8 | + | 2.06903e7i | 0.477901 | + | 0.0720321i | ||||
\(262\) | −898652. | + | 3.93725e6i | −0.00308700 | + | 0.0135250i | ||||
\(263\) | 1.34929e8 | + | 9.19928e7i | 0.457361 | + | 0.311824i | 0.769995 | − | 0.638050i | \(-0.220259\pi\) |
−0.312634 | + | 0.949874i | \(0.601211\pi\) | |||||||
\(264\) | −7.29580e7 | − | 1.26367e8i | −0.244039 | − | 0.422688i | ||||
\(265\) | 1.31631e8 | − | 2.27992e8i | 0.434509 | − | 0.752592i | ||||
\(266\) | −6.57769e8 | + | 3.16765e8i | −2.14283 | + | 1.03193i | ||||
\(267\) | −1.97752e7 | − | 6.09985e6i | −0.0635817 | − | 0.0196123i | ||||
\(268\) | −8.49972e7 | − | 1.13421e9i | −0.269732 | − | 3.59933i | ||||
\(269\) | −1.13309e8 | − | 4.96438e8i | −0.354920 | − | 1.55501i | −0.765655 | − | 0.643252i | \(-0.777585\pi\) |
0.410735 | − | 0.911755i | \(-0.365272\pi\) | |||||||
\(270\) | −1.00556e8 | + | 2.56213e8i | −0.310911 | + | 0.792189i | ||||
\(271\) | 4.10718e7 | − | 5.48065e8i | 0.125358 | − | 1.67278i | −0.480336 | − | 0.877085i | \(-0.659485\pi\) |
0.605694 | − | 0.795698i | \(-0.292896\pi\) | |||||||
\(272\) | −1.25189e8 | + | 1.88692e7i | −0.377203 | + | 0.0568542i | ||||
\(273\) | 7.99495e7 | + | 7.41823e7i | 0.237819 | + | 0.220664i | ||||
\(274\) | 7.76888e8 | + | 3.74130e8i | 2.28156 | + | 1.09874i | ||||
\(275\) | 3.12494e7 | − | 2.13055e7i | 0.0906103 | − | 0.0617770i | ||||
\(276\) | 1.39077e8 | + | 3.54362e8i | 0.398174 | + | 1.01453i | ||||
\(277\) | −9.88113e7 | + | 3.04792e7i | −0.279336 | + | 0.0861638i | −0.431258 | − | 0.902229i | \(-0.641930\pi\) |
0.151922 | + | 0.988393i | \(0.451454\pi\) | |||||||
\(278\) | 6.70698e8 | − | 6.22317e8i | 1.87228 | − | 1.73722i | ||||
\(279\) | −3.42779e8 | + | 4.29831e8i | −0.944928 | + | 1.18490i | ||||
\(280\) | −9.20290e8 | + | 1.15401e9i | −2.50537 | + | 3.14163i | ||||
\(281\) | 6.24151e6 | − | 5.79128e6i | 0.0167810 | − | 0.0155705i | −0.671738 | − | 0.740789i | \(-0.734452\pi\) |
0.688519 | + | 0.725219i | \(0.258261\pi\) | |||||||
\(282\) | 9.43558e7 | − | 2.91049e7i | 0.250551 | − | 0.0772849i | ||||
\(283\) | −8.58952e7 | − | 2.18857e8i | −0.225277 | − | 0.573996i | 0.772889 | − | 0.634542i | \(-0.218811\pi\) |
−0.998165 | + | 0.0605458i | \(0.980716\pi\) | |||||||
\(284\) | −1.50773e8 | + | 1.02795e8i | −0.390579 | + | 0.266292i | ||||
\(285\) | −8.19919e7 | − | 3.94852e7i | −0.209804 | − | 0.101036i | ||||
\(286\) | 5.05361e8 | + | 4.68907e8i | 1.27738 | + | 1.18524i | ||||
\(287\) | 1.22596e8 | − | 1.84784e7i | 0.306119 | − | 0.0461400i | ||||
\(288\) | 8.57642e7 | − | 1.14444e9i | 0.211559 | − | 2.82306i | ||||
\(289\) | −1.47736e8 | + | 3.76424e8i | −0.360033 | + | 0.917350i | ||||
\(290\) | 9.51227e7 | + | 4.16760e8i | 0.229029 | + | 1.00344i | ||||
\(291\) | −5.00893e6 | − | 6.68395e7i | −0.0119157 | − | 0.159004i | ||||
\(292\) | −7.44614e8 | − | 2.29683e8i | −1.75021 | − | 0.539870i | ||||
\(293\) | −5.88026e7 | + | 2.83178e7i | −0.136571 | + | 0.0657693i | −0.500921 | − | 0.865493i | \(-0.667005\pi\) |
0.364350 | + | 0.931262i | \(0.381291\pi\) | |||||||
\(294\) | −4.65876e7 | + | 8.06921e7i | −0.106919 | + | 0.185189i | ||||
\(295\) | −4.43783e8 | − | 7.68655e8i | −1.00645 | − | 1.74323i | ||||
\(296\) | 6.13362e8 | + | 4.18183e8i | 1.37466 | + | 0.937229i | ||||
\(297\) | −3.15350e7 | + | 1.38164e8i | −0.0698466 | + | 0.306018i | ||||
\(298\) | 6.80505e8 | + | 1.02570e8i | 1.48962 | + | 0.224523i | ||||
\(299\) | −6.90266e8 | − | 8.65566e8i | −1.49337 | − | 1.87263i | ||||
\(300\) | −3.81568e7 | −0.0815920 | ||||||||
\(301\) | 5.38431e8 | + | 2.27216e8i | 1.13801 | + | 0.480238i | ||||
\(302\) | −6.50196e8 | −1.35838 | ||||||||
\(303\) | 2.95073e7 | + | 3.70009e7i | 0.0609368 | + | 0.0764124i | ||||
\(304\) | 1.55543e9 | + | 2.34443e8i | 3.17536 | + | 0.478608i | ||||
\(305\) | −1.05535e8 | + | 4.62378e8i | −0.212984 | + | 0.933142i | ||||
\(306\) | 9.03710e7 | + | 6.16139e7i | 0.180303 | + | 0.122929i | ||||
\(307\) | −2.83590e8 | − | 4.91192e8i | −0.559380 | − | 0.968874i | −0.997548 | − | 0.0699813i | \(-0.977706\pi\) |
0.438169 | − | 0.898893i | \(-0.355627\pi\) | |||||||
\(308\) | −6.17320e8 | + | 1.06923e9i | −1.20388 | + | 2.08518i | ||||
\(309\) | −1.43152e8 | + | 6.89383e7i | −0.276021 | + | 0.132925i | ||||
\(310\) | −1.61772e9 | − | 4.99000e8i | −3.08416 | − | 0.951338i | ||||
\(311\) | −2.67780e7 | − | 3.57327e8i | −0.0504796 | − | 0.673604i | −0.963845 | − | 0.266463i | \(-0.914145\pi\) |
0.913365 | − | 0.407141i | \(-0.133474\pi\) | |||||||
\(312\) | −9.52664e7 | − | 4.17389e8i | −0.177582 | − | 0.778037i | ||||
\(313\) | 1.06199e8 | − | 2.70591e8i | 0.195756 | − | 0.498778i | −0.798967 | − | 0.601375i | \(-0.794620\pi\) |
0.994723 | + | 0.102597i | \(0.0327151\pi\) | |||||||
\(314\) | −7.52887e7 | + | 1.00466e9i | −0.137239 | + | 1.83132i | ||||
\(315\) | 6.92107e8 | − | 1.04318e8i | 1.24763 | − | 0.188050i | ||||
\(316\) | 1.55532e9 | + | 1.44313e9i | 2.77278 | + | 2.57276i | ||||
\(317\) | 7.83306e8 | + | 3.77220e8i | 1.38110 | + | 0.665101i | 0.969233 | − | 0.246144i | \(-0.0791638\pi\) |
0.411863 | + | 0.911246i | \(0.364878\pi\) | |||||||
\(318\) | −1.56429e8 | + | 1.06652e8i | −0.272786 | + | 0.185983i | ||||
\(319\) | 8.04124e7 | + | 2.04887e8i | 0.138693 | + | 0.353385i | ||||
\(320\) | 1.47900e9 | − | 4.56212e8i | 2.52315 | − | 0.778290i | ||||
\(321\) | 2.97211e7 | − | 2.75772e7i | 0.0501531 | − | 0.0465353i | ||||
\(322\) | 1.71145e9 | − | 2.14610e9i | 2.85673 | − | 3.58223i | ||||
\(323\) | −4.61813e7 | + | 5.79096e7i | −0.0762531 | + | 0.0956184i | ||||
\(324\) | −1.00892e9 | + | 9.36143e8i | −1.64797 | + | 1.52910i | ||||
\(325\) | 1.06039e8 | − | 3.27087e7i | 0.171346 | − | 0.0528533i | ||||
\(326\) | 5.79688e8 | + | 1.47702e9i | 0.926686 | + | 2.36116i | ||||
\(327\) | 1.98700e8 | − | 1.35471e8i | 0.314253 | − | 0.214254i | ||||
\(328\) | −4.38482e8 | − | 2.11162e8i | −0.686110 | − | 0.330413i | ||||
\(329\) | −3.77002e8 | − | 3.49807e8i | −0.583657 | − | 0.541555i | ||||
\(330\) | −2.10686e8 | + | 3.17558e7i | −0.322728 | + | 0.0486434i | ||||
\(331\) | 4.82206e7 | − | 6.43459e8i | 0.0730860 | − | 0.975265i | −0.833302 | − | 0.552818i | \(-0.813552\pi\) |
0.906388 | − | 0.422447i | \(-0.138829\pi\) | |||||||
\(332\) | −6.87753e7 | + | 1.75237e8i | −0.103145 | + | 0.262810i | ||||
\(333\) | −7.83318e7 | − | 3.43194e8i | −0.116247 | − | 0.509313i | ||||
\(334\) | −2.64912e7 | − | 3.53501e8i | −0.0389035 | − | 0.519132i | ||||
\(335\) | −9.76900e8 | − | 3.01334e8i | −1.41969 | − | 0.437916i | ||||
\(336\) | 5.24934e8 | − | 2.52795e8i | 0.754948 | − | 0.363564i | ||||
\(337\) | 4.77380e8 | − | 8.26846e8i | 0.679453 | − | 1.17685i | −0.295692 | − | 0.955283i | \(-0.595550\pi\) |
0.975146 | − | 0.221564i | \(-0.0711163\pi\) | |||||||
\(338\) | 3.37760e8 | + | 5.85017e8i | 0.475773 | + | 0.824063i | ||||
\(339\) | −8.73649e7 | − | 5.95644e7i | −0.121797 | − | 0.0830400i | ||||
\(340\) | −5.41344e7 | + | 2.37178e8i | −0.0746960 | + | 0.327264i | ||||
\(341\) | −8.61931e8 | − | 1.29915e8i | −1.17715 | − | 0.177427i | ||||
\(342\) | −8.47299e8 | − | 1.06248e9i | −1.14537 | − | 1.43625i | ||||
\(343\) | −4.37840e8 | −0.585849 | ||||||||
\(344\) | −1.24388e9 | − | 1.92756e9i | −1.64750 | − | 2.55301i | ||||
\(345\) | 3.42163e8 | 0.448607 | ||||||||
\(346\) | −5.70847e8 | − | 7.15819e8i | −0.740889 | − | 0.929045i | ||||
\(347\) | 2.29618e8 | + | 3.46094e7i | 0.295021 | + | 0.0444673i | 0.294885 | − | 0.955533i | \(-0.404719\pi\) |
0.000136123 | 1.00000i | \(0.499957\pi\) | ||||||||
\(348\) | 4.94118e7 | − | 2.16487e8i | 0.0628497 | − | 0.275363i | ||||
\(349\) | 7.78889e8 | + | 5.31038e8i | 0.980814 | + | 0.668708i | 0.943769 | − | 0.330606i | \(-0.107253\pi\) |
0.0370451 | + | 0.999314i | \(0.488205\pi\) | |||||||
\(350\) | 1.37569e8 | + | 2.38277e8i | 0.171508 | + | 0.297060i | ||||
\(351\) | −2.07902e8 | + | 3.60097e8i | −0.256616 | + | 0.444472i | ||||
\(352\) | 1.63941e9 | − | 7.89496e8i | 2.00349 | − | 0.964830i | ||||
\(353\) | 4.63138e8 | + | 1.42859e8i | 0.560401 | + | 0.172861i | 0.561999 | − | 0.827138i | \(-0.310033\pi\) |
−0.00159813 | + | 0.999999i | \(0.500509\pi\) | |||||||
\(354\) | 4.77001e7 | + | 6.36513e8i | 0.0571489 | + | 0.762599i | ||||
\(355\) | 3.64977e7 | + | 1.59907e8i | 0.0432978 | + | 0.189700i | ||||
\(356\) | 2.51120e8 | − | 6.39844e8i | 0.294990 | − | 0.751621i | ||||
\(357\) | −2.05021e6 | + | 2.73582e7i | −0.00238485 | + | 0.0318236i | ||||
\(358\) | 1.63947e8 | − | 2.47110e7i | 0.188848 | − | 0.0284642i | ||||
\(359\) | 3.62978e8 | + | 3.36795e8i | 0.414047 | + | 0.384180i | 0.859508 | − | 0.511121i | \(-0.170770\pi\) |
−0.445461 | + | 0.895301i | \(0.646960\pi\) | |||||||
\(360\) | −2.47542e9 | − | 1.19210e9i | −2.79634 | − | 1.34665i | ||||
\(361\) | 2.18216e7 | − | 1.48777e7i | 0.0244124 | − | 0.0166441i | ||||
\(362\) | 4.10136e8 | + | 1.04501e9i | 0.454410 | + | 1.15782i | ||||
\(363\) | 8.18337e7 | − | 2.52424e7i | 0.0897964 | − | 0.0276985i | ||||
\(364\) | −2.65547e9 | + | 2.46392e9i | −2.88594 | + | 2.67776i | ||||
\(365\) | −4.36690e8 | + | 5.47593e8i | −0.470055 | + | 0.589430i | ||||
\(366\) | 2.12656e8 | − | 2.66662e8i | 0.226722 | − | 0.284300i | ||||
\(367\) | −1.06334e7 | + | 9.86636e6i | −0.0112290 | + | 0.0104190i | −0.685767 | − | 0.727821i | \(-0.740533\pi\) |
0.674538 | + | 0.738240i | \(0.264343\pi\) | |||||||
\(368\) | −5.65150e9 | + | 1.74326e9i | −5.91149 | + | 1.82345i | ||||
\(369\) | 8.43134e7 | + | 2.14827e8i | 0.0873583 | + | 0.222585i | ||||
\(370\) | 8.95628e8 | − | 6.10629e8i | 0.919225 | − | 0.626717i | ||||
\(371\) | 8.88435e8 | + | 4.27848e8i | 0.903269 | + | 0.434991i | ||||
\(372\) | 6.44645e8 | + | 5.98143e8i | 0.649263 | + | 0.602428i | ||||
\(373\) | 2.78502e8 | − | 4.19775e7i | 0.277874 | − | 0.0418827i | −0.00862680 | − | 0.999963i | \(-0.502746\pi\) |
0.286501 | + | 0.958080i | \(0.407508\pi\) | |||||||
\(374\) | −1.29594e7 | + | 1.72931e8i | −0.0128096 | + | 0.170932i | ||||
\(375\) | 7.30928e7 | − | 1.86237e8i | 0.0715756 | − | 0.182372i | ||||
\(376\) | 4.49229e8 | + | 1.96820e9i | 0.435823 | + | 1.90947i | ||||
\(377\) | 4.82599e7 | + | 6.43983e8i | 0.0463865 | + | 0.618984i | ||||
\(378\) | −9.85148e8 | − | 3.03878e8i | −0.938167 | − | 0.289386i | ||||
\(379\) | −1.23837e9 | + | 5.96369e8i | −1.16846 | + | 0.562701i | −0.914529 | − | 0.404521i | \(-0.867438\pi\) |
−0.253932 | + | 0.967222i | \(0.581724\pi\) | |||||||
\(380\) | 1.51132e9 | − | 2.61768e9i | 1.41291 | − | 2.44723i | ||||
\(381\) | −8.86283e7 | − | 1.53509e8i | −0.0820985 | − | 0.142199i | ||||
\(382\) | −2.81037e7 | − | 1.91608e7i | −0.0257954 | − | 0.0175870i | ||||
\(383\) | −1.08765e8 | + | 4.76532e8i | −0.0989225 | + | 0.433408i | −1.00000 | 0.000250391i | \(-0.999920\pi\) | |
0.901077 | + | 0.433658i | \(0.142777\pi\) | |||||||
\(384\) | −4.02789e8 | − | 6.07107e7i | −0.363010 | − | 0.0547149i | ||||
\(385\) | 6.91905e8 | + | 8.67622e8i | 0.617923 | + | 0.774851i | ||||
\(386\) | −2.32138e8 | −0.205443 | ||||||||
\(387\) | −1.89319e8 | + | 1.07123e9i | −0.166037 | + | 0.939495i | ||||
\(388\) | 2.22626e9 | 1.93492 | ||||||||
\(389\) | 1.06950e9 | + | 1.34111e9i | 0.921207 | + | 1.15516i | 0.987541 | + | 0.157359i | \(0.0502980\pi\) |
−0.0663349 | + | 0.997797i | \(0.521131\pi\) | |||||||
\(390\) | −6.18161e8 | − | 9.31728e7i | −0.527686 | − | 0.0795359i | ||||
\(391\) | 6.19698e7 | − | 2.71507e8i | 0.0524278 | − | 0.229701i | ||||
\(392\) | −1.57398e9 | − | 1.07312e9i | −1.31977 | − | 0.899801i | ||||
\(393\) | −942788. | − | 1.63296e6i | −0.000783502 | − | 0.00135707i | ||||
\(394\) | 1.88392e9 | − | 3.26305e9i | 1.55177 | − | 2.68774i | ||||
\(395\) | 1.71819e9 | − | 8.27438e8i | 1.40276 | − | 0.675531i | ||||
\(396\) | −2.19608e9 | − | 6.77400e8i | −1.77711 | − | 0.548166i | ||||
\(397\) | 1.76425e7 | + | 2.35423e8i | 0.0141512 | + | 0.188835i | 0.999800 | + | 0.0200230i | \(0.00637393\pi\) |
−0.985648 | + | 0.168812i | \(0.946007\pi\) | |||||||
\(398\) | 8.53613e8 | + | 3.73992e9i | 0.678688 | + | 2.97353i | ||||
\(399\) | 1.24533e8 | − | 3.17306e8i | 0.0981479 | − | 0.250077i | ||||
\(400\) | 4.43008e7 | − | 5.91153e8i | 0.0346100 | − | 0.461838i | ||||
\(401\) | −1.10700e9 | + | 1.66853e8i | −0.857317 | + | 0.129220i | −0.562968 | − | 0.826478i | \(-0.690341\pi\) |
−0.294349 | + | 0.955698i | \(0.595103\pi\) | |||||||
\(402\) | 5.38944e8 | + | 5.00067e8i | 0.413764 | + | 0.383917i | ||||
\(403\) | −2.30423e9 | − | 1.10966e9i | −1.75371 | − | 0.844544i | ||||
\(404\) | −1.29877e9 | + | 8.85483e8i | −0.979932 | + | 0.668106i | ||||
\(405\) | 4.51958e8 | + | 1.15157e9i | 0.338069 | + | 0.861386i | ||||
\(406\) | −1.53004e9 | + | 4.71956e8i | −1.13465 | + | 0.349994i | ||||
\(407\) | 4.09136e8 | − | 3.79623e8i | 0.300807 | − | 0.279108i | ||||
\(408\) | 6.71461e7 | − | 8.41985e7i | 0.0489452 | − | 0.0613753i | ||||
\(409\) | 2.83116e8 | − | 3.55017e8i | 0.204613 | − | 0.256577i | −0.668928 | − | 0.743327i | \(-0.733247\pi\) |
0.873541 | + | 0.486751i | \(0.161818\pi\) | |||||||
\(410\) | −5.20940e8 | + | 4.83362e8i | −0.373288 | + | 0.346361i | ||||
\(411\) | −3.84712e8 | + | 1.18668e8i | −0.273332 | + | 0.0843116i | ||||
\(412\) | −1.92802e9 | − | 4.91251e9i | −1.35822 | − | 3.46069i | ||||
\(413\) | 2.74684e9 | − | 1.87276e9i | 1.91870 | − | 1.30815i | ||||
\(414\) | 4.60351e9 | + | 2.21694e9i | 3.18851 | + | 1.53551i | ||||
\(415\) | 1.24035e8 | + | 1.15088e8i | 0.0851878 | + | 0.0790428i | ||||
\(416\) | 5.27916e9 | − | 7.95706e8i | 3.59533 | − | 0.541908i | ||||
\(417\) | −3.19236e7 | + | 4.25991e8i | −0.0215593 | + | 0.287689i | ||||
\(418\) | 7.87177e8 | − | 2.00569e9i | 0.527175 | − | 1.34322i | ||||
\(419\) | 1.21510e8 | + | 5.32368e8i | 0.0806977 | + | 0.353560i | 0.999115 | − | 0.0420523i | \(-0.0133896\pi\) |
−0.918418 | + | 0.395612i | \(0.870532\pi\) | |||||||
\(420\) | −8.36659e7 | − | 1.11644e9i | −0.0551031 | − | 0.735300i | ||||
\(421\) | −6.77571e8 | − | 2.09003e8i | −0.442555 | − | 0.136510i | 0.0654660 | − | 0.997855i | \(-0.479147\pi\) |
−0.508021 | + | 0.861345i | \(0.669623\pi\) | |||||||
\(422\) | 2.41626e9 | − | 1.16361e9i | 1.56513 | − | 0.753726i | ||||
\(423\) | 4.78655e8 | − | 8.29055e8i | 0.307490 | − | 0.532589i | ||||
\(424\) | −1.93541e9 | − | 3.35223e9i | −1.23309 | − | 2.13577i | ||||
\(425\) | 2.30638e7 | + | 1.57246e7i | 0.0145737 | + | 0.00993616i | ||||
\(426\) | 2.62475e7 | − | 1.14998e8i | 0.0164496 | − | 0.0720703i | ||||
\(427\) | −1.75660e9 | − | 2.64765e8i | −1.09188 | − | 0.164575i | ||||
\(428\) | 8.39626e8 | + | 1.05286e9i | 0.517646 | + | 0.649107i | ||||
\(429\) | −3.21878e8 | −0.196830 | ||||||||
\(430\) | −3.28362e9 | + | 6.62461e8i | −1.99165 | + | 0.401810i | ||||
\(431\) | −1.49791e9 | −0.901189 | −0.450595 | − | 0.892729i | \(-0.648788\pi\) | ||||
−0.450595 | + | 0.892729i | \(0.648788\pi\) | |||||||
\(432\) | 1.38494e9 | + | 1.73666e9i | 0.826491 | + | 1.03639i | ||||
\(433\) | −2.57182e9 | − | 3.87639e8i | −1.52241 | − | 0.229467i | −0.666076 | − | 0.745884i | \(-0.732027\pi\) |
−0.856337 | + | 0.516417i | \(0.827265\pi\) | |||||||
\(434\) | 1.41103e9 | − | 6.18214e9i | 0.828558 | − | 3.63015i | ||||
\(435\) | −1.64908e8 | − | 1.12433e8i | −0.0960572 | − | 0.0654907i | ||||
\(436\) | 3.99381e9 | + | 6.91748e9i | 2.30773 | + | 3.99710i | ||||
\(437\) | −1.73007e9 | + | 2.99657e9i | −0.991695 | + | 1.71767i | ||||
\(438\) | 4.53813e8 | − | 2.18545e8i | 0.258058 | − | 0.124274i | ||||
\(439\) | 2.56859e9 | + | 7.92306e8i | 1.44900 | + | 0.446958i | 0.916693 | − | 0.399591i | \(-0.130848\pi\) |
0.532310 | + | 0.846550i | \(0.321324\pi\) | |||||||
\(440\) | −3.25537e8 | − | 4.34399e9i | −0.182187 | − | 2.43111i | ||||
\(441\) | 2.01011e8 | + | 8.80685e8i | 0.111605 | + | 0.488974i | ||||
\(442\) | −1.85889e8 | + | 4.73638e8i | −0.102394 | + | 0.260897i | ||||
\(443\) | −7.91629e7 | + | 1.05636e9i | −0.0432622 | + | 0.577294i | 0.932884 | + | 0.360178i | \(0.117284\pi\) |
−0.976146 | + | 0.217116i | \(0.930335\pi\) | |||||||
\(444\) | −5.56789e8 | + | 8.39225e7i | −0.301891 | + | 0.0455028i | ||||
\(445\) | −4.52892e8 | − | 4.20223e8i | −0.243632 | − | 0.226058i | ||||
\(446\) | 4.24138e9 | + | 2.04254e9i | 2.26378 | + | 1.09018i | ||||
\(447\) | −2.65484e8 | + | 1.81004e8i | −0.140592 | + | 0.0958543i | ||||
\(448\) | 2.11802e9 | + | 5.39663e9i | 1.11290 | + | 2.83563i | ||||
\(449\) | 1.67547e9 | − | 5.16814e8i | 0.873524 | − | 0.269446i | 0.174597 | − | 0.984640i | \(-0.444138\pi\) |
0.698927 | + | 0.715193i | \(0.253661\pi\) | |||||||
\(450\) | −3.75431e8 | + | 3.48349e8i | −0.194217 | + | 0.180207i | ||||
\(451\) | −2.28136e8 | + | 2.86073e8i | −0.117105 | + | 0.146845i | ||||
\(452\) | 2.18971e9 | − | 2.74581e9i | 1.11533 | − | 1.39857i | ||||
\(453\) | 2.22537e8 | − | 2.06484e8i | 0.112476 | − | 0.104362i | ||||
\(454\) | −1.19431e8 | + | 3.68397e7i | −0.0598995 | + | 0.0184765i | ||||
\(455\) | 1.18955e9 | + | 3.03092e9i | 0.592028 | + | 1.50846i | ||||
\(456\) | −1.10556e9 | + | 7.53756e8i | −0.546014 | + | 0.372266i | ||||
\(457\) | 1.71077e9 | + | 8.23865e8i | 0.838467 | + | 0.403784i | 0.803284 | − | 0.595597i | \(-0.203084\pi\) |
0.0351829 | + | 0.999381i | \(0.488799\pi\) | |||||||
\(458\) | −5.30398e9 | − | 4.92137e9i | −2.57972 | − | 2.39363i | ||||
\(459\) | −1.03427e8 | + | 1.55891e7i | −0.0499216 | + | 0.00752447i | ||||
\(460\) | −8.49286e8 | + | 1.13329e10i | −0.406820 | + | 5.42863i | ||||
\(461\) | −2.01488e8 | + | 5.13383e8i | −0.0957847 | + | 0.244055i | −0.970733 | − | 0.240161i | \(-0.922800\pi\) |
0.874948 | + | 0.484216i | \(0.160895\pi\) | |||||||
\(462\) | −1.77587e8 | − | 7.78059e8i | −0.0837846 | − | 0.367084i | ||||
\(463\) | 1.63250e8 | + | 2.17843e9i | 0.0764400 | + | 1.02002i | 0.895136 | + | 0.445794i | \(0.147079\pi\) |
−0.818696 | + | 0.574228i | \(0.805302\pi\) | |||||||
\(464\) | 3.29661e9 | + | 1.01687e9i | 1.53199 | + | 0.472555i | ||||
\(465\) | 7.12152e8 | − | 3.42954e8i | 0.328464 | − | 0.158180i | ||||
\(466\) | 3.74990e9 | − | 6.49502e9i | 1.71660 | − | 2.97324i | ||||
\(467\) | −9.02778e8 | − | 1.56366e9i | −0.410178 | − | 0.710448i | 0.584731 | − | 0.811227i | \(-0.301200\pi\) |
−0.994909 | + | 0.100779i | \(0.967867\pi\) | |||||||
\(468\) | −5.57129e9 | − | 3.79844e9i | −2.51244 | − | 1.71295i | ||||
\(469\) | 8.52087e8 | − | 3.73324e9i | 0.381398 | − | 1.67102i | ||||
\(470\) | 2.91494e9 | + | 4.39356e8i | 1.29505 | + | 0.195198i | ||||
\(471\) | −2.93283e8 | − | 3.67766e8i | −0.129334 | − | 0.162180i | ||||
\(472\) | −1.30501e10 | −5.71240 | ||||||||
\(473\) | −1.62097e9 | + | 5.89267e8i | −0.704306 | + | 0.256034i | ||||
\(474\) | −1.37147e9 | −0.591508 | ||||||||
\(475\) | −2.16241e8 | − | 2.71158e8i | −0.0925786 | − | 0.116090i | ||||
\(476\) | −9.01054e8 | − | 1.35812e8i | −0.382936 | − | 0.0577184i | ||||
\(477\) | −4.08442e8 | + | 1.78950e9i | −0.172312 | + | 0.754949i | ||||
\(478\) | −7.58447e8 | − | 5.17101e8i | −0.317635 | − | 0.216560i | ||||
\(479\) | −1.34918e9 | − | 2.33685e9i | −0.560915 | − | 0.971533i | −0.997417 | − | 0.0718294i | \(-0.977116\pi\) |
0.436502 | − | 0.899703i | \(-0.356217\pi\) | |||||||
\(480\) | −8.25010e8 | + | 1.42896e9i | −0.340498 | + | 0.589760i | ||||
\(481\) | 1.47540e9 | − | 7.10515e8i | 0.604508 | − | 0.291116i | ||||
\(482\) | −4.32440e9 | − | 1.33390e9i | −1.75898 | − | 0.542574i | ||||
\(483\) | 9.57757e7 | + | 1.27804e9i | 0.0386759 | + | 0.516094i | ||||
\(484\) | 6.32943e8 | + | 2.77311e9i | 0.253750 | + | 1.11175i | ||||
\(485\) | 7.31056e8 | − | 1.86270e9i | 0.290974 | − | 0.741390i | ||||
\(486\) | 2.16800e8 | − | 2.89299e9i | 0.0856706 | − | 1.14319i | ||||
\(487\) | −2.39017e7 | + | 3.60261e6i | −0.00937731 | + | 0.00141340i | −0.153729 | − | 0.988113i | \(-0.549128\pi\) |
0.144352 | + | 0.989526i | \(0.453890\pi\) | |||||||
\(488\) | 5.11180e9 | + | 4.74306e9i | 1.99115 | + | 1.84752i | ||||
\(489\) | −6.67466e8 | − | 3.21435e8i | −0.258136 | − | 0.124312i | ||||
\(490\) | −2.29831e9 | + | 1.56696e9i | −0.882516 | + | 0.601689i | ||||
\(491\) | −1.34373e9 | − | 3.42377e9i | −0.512303 | − | 1.30533i | −0.919896 | − | 0.392163i | \(-0.871727\pi\) |
0.407592 | − | 0.913164i | \(-0.366368\pi\) | |||||||
\(492\) | 3.52747e8 | − | 1.08808e8i | 0.133532 | − | 0.0411892i | ||||
\(493\) | −1.19082e8 | + | 1.10492e8i | −0.0447593 | + | 0.0415306i | ||||
\(494\) | 3.94157e9 | − | 4.94257e9i | 1.47104 | − | 1.84463i | ||||
\(495\) | −1.28792e9 | + | 1.61501e9i | −0.477279 | + | 0.598489i | ||||
\(496\) | −1.00153e10 | + | 9.29286e9i | −3.68535 | + | 3.41951i | ||||
\(497\) | −5.87063e8 | + | 1.81085e8i | −0.214505 | + | 0.0661661i | ||||
\(498\) | −4.44562e7 | − | 1.13273e8i | −0.0161298 | − | 0.0410981i | ||||
\(499\) | −3.28201e9 | + | 2.23764e9i | −1.18247 | + | 0.806191i | −0.984734 | − | 0.174065i | \(-0.944310\pi\) |
−0.197731 | + | 0.980256i | \(0.563357\pi\) | |||||||
\(500\) | 5.98703e9 | + | 2.88320e9i | 2.14199 | + | 1.03153i | ||||
\(501\) | 1.21329e8 | + | 1.12577e8i | 0.0431055 | + | 0.0399960i | ||||
\(502\) | 2.94622e9 | − | 4.44072e8i | 1.03945 | − | 0.156672i | ||||
\(503\) | 2.79974e8 | − | 3.73600e9i | 0.0980912 | − | 1.30894i | −0.703342 | − | 0.710852i | \(-0.748310\pi\) |
0.801433 | − | 0.598084i | \(-0.204071\pi\) | |||||||
\(504\) | 3.75979e9 | − | 9.57980e9i | 1.30815 | − | 3.33311i | ||||
\(505\) | 3.14393e8 | + | 1.37745e9i | 0.108631 | + | 0.475943i | ||||
\(506\) | 6.05399e8 | + | 8.07848e9i | 0.207737 | + | 2.77206i | ||||
\(507\) | −3.01388e8 | − | 9.29658e7i | −0.102706 | − | 0.0316807i | ||||
\(508\) | 5.30442e9 | − | 2.55447e9i | 1.79521 | − | 0.864527i | ||||
\(509\) | −1.57028e9 | + | 2.71980e9i | −0.527794 | + | 0.914165i | 0.471681 | + | 0.881769i | \(0.343647\pi\) |
−0.999475 | + | 0.0323964i | \(0.989686\pi\) | |||||||
\(510\) | −7.86271e7 | − | 1.36186e8i | −0.0262468 | − | 0.0454608i | ||||
\(511\) | −2.16759e9 | − | 1.47784e9i | −0.718627 | − | 0.489951i | ||||
\(512\) | −1.52119e8 | + | 6.66478e8i | −0.0500887 | + | 0.219453i | ||||
\(513\) | 1.28504e9 | + | 1.93689e8i | 0.420248 | + | 0.0633422i | ||||
\(514\) | −1.31947e9 | − | 1.65456e9i | −0.428577 | − | 0.537418i | ||||
\(515\) | −4.74340e9 | −1.53026 | ||||||||
\(516\) | 1.68608e9 | + | 4.30031e8i | 0.540262 | + | 0.137793i | ||||
\(517\) | 1.51781e9 | 0.483061 | ||||||||
\(518\) | 2.53150e9 | + | 3.17440e9i | 0.800247 | + | 1.00348i | ||||
\(519\) | 4.22703e8 | + | 6.37123e7i | 0.132724 | + | 0.0200049i | ||||
\(520\) | 2.84408e9 | − | 1.24607e10i | 0.887014 | − | 3.88626i | ||||
\(521\) | 4.74998e8 | + | 3.23848e8i | 0.147150 | + | 0.100325i | 0.634657 | − | 0.772794i | \(-0.281141\pi\) |
−0.487507 | + | 0.873119i | \(0.662094\pi\) | |||||||
\(522\) | −1.49023e9 | − | 2.58115e9i | −0.458571 | − | 0.794268i | ||||
\(523\) | 9.77288e8 | − | 1.69271e9i | 0.298722 | − | 0.517401i | −0.677122 | − | 0.735871i | \(-0.736773\pi\) |
0.975844 | + | 0.218470i | \(0.0701064\pi\) | |||||||
\(524\) | 5.64260e7 | − | 2.71734e7i | 0.0171325 | − | 0.00825057i | ||||
\(525\) | −1.22755e8 | − | 3.78649e7i | −0.0370238 | − | 0.0114203i | ||||
\(526\) | −2.62011e8 | − | 3.49629e9i | −0.0785000 | − | 1.04751i | ||||
\(527\) | −1.43156e8 | − | 6.27208e8i | −0.0426062 | − | 0.186670i | ||||
\(528\) | −6.28207e8 | + | 1.60065e9i | −0.185731 | + | 0.473234i | ||||
\(529\) | 7.17769e8 | − | 9.57796e9i | 0.210809 | − | 2.81306i | ||||
\(530\) | −5.58903e9 | + | 8.42411e8i | −1.63069 | + | 0.245787i | ||||
\(531\) | 4.53634e9 | + | 4.20911e9i | 1.31485 | + | 1.22000i | ||||
\(532\) | 1.02005e10 | + | 4.91232e9i | 2.93719 | + | 1.41448i | ||||
\(533\) | −8.87025e8 | + | 6.04764e8i | −0.253741 | + | 0.172998i | ||||
\(534\) | 1.62323e8 | + | 4.13593e8i | 0.0461304 | + | 0.117538i | ||||
\(535\) | 1.15664e9 | − | 3.56775e8i | 0.326557 | − | 0.100729i | ||||
\(536\) | −1.10188e10 | + | 1.02240e10i | −3.09071 | + | 2.86776i | ||||
\(537\) | −4.82651e7 | + | 6.05226e7i | −0.0134500 | + | 0.0168658i | ||||
\(538\) | −6.81628e9 | + | 8.54734e9i | −1.88716 | + | 2.36643i | ||||
\(539\) | −1.04990e9 | + | 9.74167e8i | −0.288794 | + | 0.267962i | ||||
\(540\) | 4.07872e9 | − | 1.25812e9i | 1.11467 | − | 0.343830i | ||||
\(541\) | −7.21491e8 | − | 1.83833e9i | −0.195903 | − | 0.499152i | 0.798842 | − | 0.601541i | \(-0.205447\pi\) |
−0.994744 | + | 0.102389i | \(0.967351\pi\) | |||||||
\(542\) | −9.74942e9 | + | 6.64704e9i | −2.63016 | + | 1.79321i | ||||
\(543\) | −4.72240e8 | − | 2.27419e8i | −0.126579 | − | 0.0609574i | ||||
\(544\) | 9.84464e8 | + | 9.13450e8i | 0.262183 | + | 0.243270i | ||||
\(545\) | 7.09931e9 | − | 1.07005e9i | 1.87857 | − | 0.283149i | ||||
\(546\) | 1.74985e8 | − | 2.33502e9i | 0.0460074 | − | 0.613926i | ||||
\(547\) | 1.67068e9 | − | 4.25681e9i | 0.436452 | − | 1.11206i | −0.528336 | − | 0.849035i | \(-0.677184\pi\) |
0.964788 | − | 0.263027i | \(-0.0847208\pi\) | |||||||
\(548\) | −2.97556e9 | − | 1.30368e10i | −0.772391 | − | 3.38406i | ||||
\(549\) | −2.47110e8 | − | 3.29745e9i | −0.0637364 | − | 0.850503i | ||||
\(550\) | −7.75935e8 | − | 2.39344e8i | −0.198864 | − | 0.0613414i | ||||
\(551\) | 1.81847e9 | − | 8.75730e8i | 0.463102 | − | 0.223018i | ||||
\(552\) | 2.51546e9 | − | 4.35691e9i | 0.636547 | − | 1.10253i | ||||
\(553\) | 3.57157e9 | + | 6.18613e9i | 0.898092 | + | 1.55554i | ||||
\(554\) | 1.83431e9 | + | 1.25061e9i | 0.458342 | + | 0.312492i | ||||
\(555\) | −1.12620e8 | + | 4.93422e8i | −0.0279635 | + | 0.122516i | ||||
\(556\) | −1.40302e10 | − | 2.11471e9i | −3.46180 | − | 0.521782i | ||||
\(557\) | 2.74618e9 | + | 3.44360e9i | 0.673341 | + | 0.844343i | 0.994722 | − | 0.102607i | \(-0.0327183\pi\) |
−0.321381 | + | 0.946950i | \(0.604147\pi\) | |||||||
\(558\) | 1.18035e10 | 2.87601 | ||||||||
\(559\) | −5.05431e9 | + | 2.50267e8i | −1.22383 | + | 0.0605986i | ||||
\(560\) | 1.73939e10 | 4.18542 | ||||||||
\(561\) | −5.04827e7 | − | 6.33033e7i | −0.0120718 | − | 0.0151376i | ||||
\(562\) | −1.80760e8 | − | 2.72452e7i | −0.0429562 | − | 0.00647460i | ||||
\(563\) | 5.11677e8 | − | 2.24180e9i | 0.120842 | − | 0.529442i | −0.877879 | − | 0.478882i | \(-0.841042\pi\) |
0.998721 | − | 0.0505600i | \(-0.0161006\pi\) | |||||||
\(564\) | −1.26520e9 | − | 8.62600e8i | −0.296950 | − | 0.202457i | ||||
\(565\) | −1.57835e9 | − | 2.73379e9i | −0.368158 | − | 0.637668i | ||||
\(566\) | −2.52386e9 | + | 4.37146e9i | −0.585071 | + | 1.01337i | ||||
\(567\) | −4.17481e9 | + | 2.01048e9i | −0.961824 | + | 0.463190i | ||||
\(568\) | 2.30448e9 | + | 7.10838e8i | 0.527659 | + | 0.162761i | ||||
\(569\) | 1.93879e8 | + | 2.58713e9i | 0.0441202 | + | 0.588743i | 0.974825 | + | 0.222972i | \(0.0715758\pi\) |
−0.930705 | + | 0.365772i | \(0.880805\pi\) | |||||||
\(570\) | 4.34768e8 | + | 1.90484e9i | 0.0983320 | + | 0.430821i | ||||
\(571\) | 1.05017e9 | − | 2.67580e9i | 0.236067 | − | 0.601488i | −0.762920 | − | 0.646493i | \(-0.776235\pi\) |
0.998987 | + | 0.0450049i | \(0.0143303\pi\) | |||||||
\(572\) | 7.98936e8 | − | 1.06611e10i | 0.178495 | − | 2.38185i | ||||
\(573\) | 1.57038e7 | − | 2.36696e6i | 0.00348708 | − | 0.000525593i | ||||
\(574\) | −1.95126e9 | − | 1.81050e9i | −0.430648 | − | 0.399583i | ||||
\(575\) | 1.17487e9 | + | 5.65789e8i | 0.257723 | + | 0.124113i | ||||
\(576\) | −8.91622e9 | + | 6.07898e9i | −1.94403 | + | 1.32541i | ||||
\(577\) | 3.26771e8 | + | 8.32598e8i | 0.0708154 | + | 0.180435i | 0.961899 | − | 0.273404i | \(-0.0881495\pi\) |
−0.891084 | + | 0.453839i | \(0.850054\pi\) | |||||||
\(578\) | 8.29613e9 | − | 2.55902e9i | 1.78702 | − | 0.551221i | ||||
\(579\) | 7.94520e7 | − | 7.37207e7i | 0.0170110 | − | 0.0157839i | ||||
\(580\) | 4.13325e9 | − | 5.18293e9i | 0.879617 | − | 1.10301i | ||||
\(581\) | −3.95155e8 | + | 4.95508e8i | −0.0835893 | + | 0.104818i | ||||
\(582\) | −1.05490e9 | + | 9.78800e8i | −0.221809 | + | 0.205809i | ||||
\(583\) | −2.78093e9 | + | 8.57802e8i | −0.581232 | + | 0.179286i | ||||
\(584\) | 3.76233e9 | + | 9.58627e9i | 0.781650 | + | 1.99161i | ||||
\(585\) | −5.00764e9 | + | 3.41415e9i | −1.03416 | + | 0.705078i | ||||
\(586\) | 1.26247e9 | + | 6.07974e8i | 0.259167 | + | 0.124808i | ||||
\(587\) | 1.18820e9 | + | 1.10249e9i | 0.242469 | + | 0.224978i | 0.792041 | − | 0.610468i | \(-0.209019\pi\) |
−0.549572 | + | 0.835446i | \(0.685209\pi\) | |||||||
\(588\) | 1.42880e9 | − | 2.15357e8i | 0.289835 | − | 0.0436856i | ||||
\(589\) | −5.97336e8 | + | 7.97090e9i | −0.120452 | + | 1.60732i | ||||
\(590\) | −6.96185e9 | + | 1.77385e10i | −1.39554 | + | 3.55578i | ||||
\(591\) | 3.91460e8 | + | 1.71510e9i | 0.0780066 | + | 0.341769i | ||||
\(592\) | −6.53745e8 | − | 8.72363e9i | −0.129504 | − | 1.72811i | ||||
\(593\) | −4.14929e9 | − | 1.27989e9i | −0.817113 | − | 0.252046i | −0.142101 | − | 0.989852i | \(-0.545386\pi\) |
−0.675013 | + | 0.737806i | \(0.735862\pi\) | |||||||
\(594\) | 2.74130e9 | − | 1.32014e9i | 0.536667 | − | 0.258445i | ||||
\(595\) | −4.09521e8 | + | 7.09311e8i | −0.0797015 | + | 0.138047i | ||||
\(596\) | −5.33616e9 | − | 9.24249e9i | −1.03244 | − | 1.78825i | ||||
\(597\) | −1.47986e9 | − | 1.00895e9i | −0.284649 | − | 0.194070i | ||||
\(598\) | −5.28911e9 | + | 2.31731e10i | −1.01141 | + | 4.43129i | ||||
\(599\) | 7.80680e9 | + | 1.17669e9i | 1.48415 | + | 0.223700i | 0.840582 | − | 0.541685i | \(-0.182213\pi\) |
0.643573 | + | 0.765385i | \(0.277451\pi\) | |||||||
\(600\) | 3.14407e8 | + | 3.94254e8i | 0.0594242 | + | 0.0745155i | ||||
\(601\) | −5.82935e9 | −1.09537 | −0.547683 | − | 0.836686i | \(-0.684490\pi\) | ||||
−0.547683 | + | 0.836686i | \(0.684490\pi\) | |||||||
\(602\) | −3.39353e9 | − | 1.20795e10i | −0.633963 | − | 2.25663i | ||||
\(603\) | 7.12782e9 | 1.32387 | ||||||||
\(604\) | 6.28670e9 | + | 7.88328e9i | 1.16090 | + | 1.45572i | ||||
\(605\) | 2.52809e9 | + | 3.81049e8i | 0.464140 | + | 0.0699579i | ||||
\(606\) | 2.26097e8 | − | 9.90598e8i | 0.0412707 | − | 0.180819i | ||||
\(607\) | −2.48778e9 | − | 1.69614e9i | −0.451493 | − | 0.307823i | 0.316140 | − | 0.948713i | \(-0.397613\pi\) |
−0.767633 | + | 0.640890i | \(0.778566\pi\) | |||||||
\(608\) | −8.34295e9 | − | 1.44504e10i | −1.50542 | − | 2.60746i | ||||
\(609\) | 3.73795e8 | − | 6.47432e8i | 0.0670614 | − | 0.116154i | ||||
\(610\) | 9.17402e9 | − | 4.41798e9i | 1.63646 | − | 0.788077i | ||||
\(611\) | 4.25548e9 | + | 1.31264e9i | 0.754752 | + | 0.232810i | ||||
\(612\) | −1.26756e8 | − | 1.69144e9i | −0.0223531 | − | 0.298282i | ||||
\(613\) | 7.17119e8 | + | 3.14190e9i | 0.125742 | + | 0.550911i | 0.998076 | + | 0.0620010i | \(0.0197482\pi\) |
−0.872334 | + | 0.488910i | \(0.837395\pi\) | |||||||
\(614\) | −4.44882e9 | + | 1.13354e10i | −0.775632 | + | 1.97628i | ||||
\(615\) | 2.47955e7 | − | 3.30872e8i | 0.00429843 | − | 0.0573585i | ||||
\(616\) | 1.61344e10 | − | 2.43188e9i | 2.78113 | − | 0.419188i | ||||
\(617\) | −4.28095e9 | − | 3.97214e9i | −0.733740 | − | 0.680811i | 0.221992 | − | 0.975048i | \(-0.428744\pi\) |
−0.955732 | + | 0.294237i | \(0.904934\pi\) | |||||||
\(618\) | 3.07342e9 | + | 1.48008e9i | 0.523796 | + | 0.252247i | ||||
\(619\) | 4.78043e9 | − | 3.25924e9i | 0.810120 | − | 0.552331i | −0.0859207 | − | 0.996302i | \(-0.527383\pi\) |
0.896041 | + | 0.443971i | \(0.146431\pi\) | |||||||
\(620\) | 9.59151e9 | + | 2.44388e10i | 1.61628 | + | 4.11821i | ||||
\(621\) | −4.66907e9 | + | 1.44022e9i | −0.782366 | + | 0.241328i | ||||
\(622\) | −5.63952e9 | + | 5.23271e9i | −0.939671 | + | 0.871887i | ||||
\(623\) | 1.44283e9 | − | 1.80926e9i | 0.239061 | − | 0.299772i | ||||
\(624\) | −3.14557e9 | + | 3.94442e9i | −0.518267 | + | 0.649887i | ||||
\(625\) | 5.03313e9 | − | 4.67006e9i | 0.824627 | − | 0.765142i | ||||
\(626\) | −5.96363e9 | + | 1.83954e9i | −0.971630 | + | 0.299708i | ||||
\(627\) | 3.67533e8 | + | 9.36458e8i | 0.0595469 | + | 0.151723i | ||||
\(628\) | 1.29089e10 | − | 8.80114e9i | 2.07984 | − | 1.41801i | ||||
\(629\) | 3.71135e8 | + | 1.78729e8i | 0.0594641 | + | 0.0286364i | ||||
\(630\) | −1.10157e10 | − | 1.02211e10i | −1.75517 | − | 1.62856i | ||||
\(631\) | 5.16641e9 | − | 7.78710e8i | 0.818626 | − | 0.123388i | 0.273639 | − | 0.961832i | \(-0.411773\pi\) |
0.544987 | + | 0.838444i | \(0.316534\pi\) | |||||||
\(632\) | 2.09542e9 | − | 2.79615e10i | 0.330189 | − | 4.40606i | ||||
\(633\) | −4.57463e8 | + | 1.16560e9i | −0.0716874 | + | 0.182657i | ||||
\(634\) | −4.15353e9 | − | 1.81978e10i | −0.647300 | − | 2.83601i | ||||
\(635\) | −3.95458e8 | − | 5.27702e9i | −0.0612904 | − | 0.817864i | ||||
\(636\) | 2.80560e9 | + | 8.65412e8i | 0.432439 | + | 0.133390i | ||||
\(637\) | −3.78608e9 | + | 1.82328e9i | −0.580366 | + | 0.279490i | ||||
\(638\) | 2.36276e9 | − | 4.09242e9i | 0.360203 | − | 0.623890i | ||||
\(639\) | −5.71788e8 | − | 9.90366e8i | −0.0866926 | − | 0.150156i | ||||
\(640\) | −1.00476e10 | − | 6.85036e9i | −1.51507 | − | 1.03296i | ||||
\(641\) | 1.94986e9 | − | 8.54289e9i | 0.292415 | − | 1.28116i | −0.588737 | − | 0.808324i | \(-0.700375\pi\) |
0.881153 | − | 0.472831i | \(-0.156768\pi\) | |||||||
\(642\) | −8.60752e8 | − | 1.29737e8i | −0.128382 | − | 0.0193505i | ||||
\(643\) | 5.08551e8 | + | 6.37703e8i | 0.0754390 | + | 0.0945976i | 0.818119 | − | 0.575049i | \(-0.195017\pi\) |
−0.742680 | + | 0.669647i | \(0.766446\pi\) | |||||||
\(644\) | −4.25682e10 | −6.28036 | ||||||||
\(645\) | 9.13479e8 | − | 1.26952e9i | 0.134042 | − | 0.186287i | ||||
\(646\) | 1.59024e9 | 0.232086 | ||||||||
\(647\) | 3.71674e9 | + | 4.66064e9i | 0.539507 | + | 0.676520i | 0.974623 | − | 0.223854i | \(-0.0718640\pi\) |
−0.435116 | + | 0.900375i | \(0.643293\pi\) | |||||||
\(648\) | 1.79861e10 | + | 2.71096e9i | 2.59671 | + | 0.391391i | ||||
\(649\) | −2.18327e9 | + | 9.56555e9i | −0.313510 | + | 1.37358i | ||||
\(650\) | −1.96849e9 | − | 1.34209e9i | −0.281149 | − | 0.191684i | ||||
\(651\) | 1.48033e9 | + | 2.56401e9i | 0.210294 | + | 0.364239i | ||||
\(652\) | 1.23031e10 | − | 2.13096e10i | 1.73839 | − | 3.01099i | ||||
\(653\) | 2.27619e9 | − | 1.09616e9i | 0.319899 | − | 0.154055i | −0.267042 | − | 0.963685i | \(-0.586046\pi\) |
0.586941 | + | 0.809630i | \(0.300332\pi\) | |||||||
\(654\) | −4.93379e9 | − | 1.52187e9i | −0.689697 | − | 0.212743i | ||||
\(655\) | −4.20671e6 | − | 5.61346e7i | −0.000584922 | − | 0.00780524i | ||||
\(656\) | 1.27619e9 | + | 5.59135e9i | 0.176503 | + | 0.773309i | ||||
\(657\) | 1.78407e9 | − | 4.54575e9i | 0.245434 | − | 0.625355i | ||||
\(658\) | −8.25144e8 | + | 1.10108e10i | −0.112912 | + | 1.50670i | ||||
\(659\) | 8.21083e9 | − | 1.23758e9i | 1.11760 | − | 0.168452i | 0.435841 | − | 0.900024i | \(-0.356451\pi\) |
0.681764 | + | 0.731572i | \(0.261213\pi\) | |||||||
\(660\) | 2.42213e9 | + | 2.24741e9i | 0.327939 | + | 0.304283i | ||||
\(661\) | −2.51869e9 | − | 1.21294e9i | −0.339210 | − | 0.163355i | 0.256521 | − | 0.966539i | \(-0.417424\pi\) |
−0.595732 | + | 0.803183i | \(0.703138\pi\) | |||||||
\(662\) | −1.14464e10 | + | 7.80400e9i | −1.53343 | + | 1.04548i | ||||
\(663\) | −8.67916e7 | − | 2.21142e8i | −0.0115659 | − | 0.0294695i | ||||
\(664\) | 2.37733e9 | − | 7.33309e8i | 0.315138 | − | 0.0972073i | ||||
\(665\) | 7.45976e9 | − | 6.92164e9i | 0.983669 | − | 0.912712i | ||||
\(666\) | −4.71218e9 | + | 5.90889e9i | −0.618105 | + | 0.775079i | ||||
\(667\) | −4.73150e9 | + | 5.93311e9i | −0.617388 | + | 0.774180i | ||||
\(668\) | −4.02986e9 | + | 3.73916e9i | −0.523085 | + | 0.485352i | ||||
\(669\) | −2.10032e9 | + | 6.47862e8i | −0.271202 | + | 0.0836548i | ||||
\(670\) | 8.01881e9 | + | 2.04316e10i | 1.03003 | + | 2.62446i | ||||
\(671\) | 4.33178e9 | − | 2.95336e9i | 0.553526 | − | 0.377388i | ||||
\(672\) | −5.56834e9 | − | 2.68157e9i | −0.707837 | − | 0.340876i | ||||
\(673\) | 4.24614e9 | + | 3.93984e9i | 0.536960 | + | 0.498226i | 0.901392 | − | 0.433004i | \(-0.142546\pi\) |
−0.364432 | + | 0.931230i | \(0.618737\pi\) | |||||||
\(674\) | −2.02694e10 | + | 3.05512e9i | −2.54995 | + | 0.384343i | ||||
\(675\) | 3.65997e7 | − | 4.88390e8i | 0.00458052 | − | 0.0611228i | ||||
\(676\) | 3.82724e9 | − | 9.75165e9i | 0.476510 | − | 1.21413i | ||||
\(677\) | −2.02996e9 | − | 8.89385e9i | −0.251436 | − | 1.10161i | −0.930141 | − | 0.367203i | \(-0.880315\pi\) |
0.678704 | − | 0.734412i | \(-0.262542\pi\) | |||||||
\(678\) | 1.69649e8 | + | 2.26381e9i | 0.0209049 | + | 0.278957i | ||||
\(679\) | 7.16213e9 | + | 2.20923e9i | 0.878007 | + | 0.270829i | ||||
\(680\) | 2.89670e9 | − | 1.39498e9i | 0.353283 | − | 0.170132i | ||||
\(681\) | 2.91775e7 | − | 5.05369e7i | 0.00354025 | − | 0.00613189i | ||||
\(682\) | 9.35720e9 | + | 1.62071e10i | 1.12954 | + | 1.95642i | ||||
\(683\) | 1.89868e9 | + | 1.29450e9i | 0.228023 | + | 0.155464i | 0.671943 | − | 0.740603i | \(-0.265460\pi\) |
−0.443920 | + | 0.896067i | \(0.646412\pi\) | |||||||
\(684\) | −4.68951e9 | + | 2.05461e10i | −0.560314 | + | 2.45489i | ||||
\(685\) | −1.18849e10 | − | 1.79137e9i | −1.41280 | − | 0.212945i | ||||
\(686\) | 5.86097e9 | + | 7.34943e9i | 0.693163 | + | 0.869199i | ||||
\(687\) | 3.37824e9 | 0.397504 | ||||||||
\(688\) | −8.61993e9 | + | 2.56227e10i | −1.00912 | + | 2.99961i | ||||
\(689\) | −8.53871e9 | −0.994546 | ||||||||
\(690\) | −4.58023e9 | − | 5.74343e9i | −0.530782 | − | 0.665579i | ||||
\(691\) | −7.19603e7 | − | 1.08463e7i | −0.00829697 | − | 0.00125057i | 0.144892 | − | 0.989447i | \(-0.453716\pi\) |
−0.153189 | + | 0.988197i | \(0.548954\pi\) | |||||||
\(692\) | −3.15944e9 | + | 1.38424e10i | −0.362442 | + | 1.58796i | ||||
\(693\) | −6.39283e9 | − | 4.35856e9i | −0.729671 | − | 0.497481i | ||||
\(694\) | −2.49276e9 | − | 4.31758e9i | −0.283088 | − | 0.490323i | ||||
\(695\) | −6.37659e9 | + | 1.10446e10i | −0.720513 | + | 1.24797i | ||||
\(696\) | −2.64400e9 | + | 1.27328e9i | −0.297255 | + | 0.143150i | ||||
\(697\) | −2.58058e8 | − | 7.96002e7i | −0.0288670 | − | 0.00890430i | ||||
\(698\) | −1.51248e9 | − | 2.01827e10i | −0.168344 | − | 2.24639i | ||||
\(699\) | 7.79191e8 | + | 3.41386e9i | 0.0862927 | + | 0.378073i | ||||
\(700\) | 1.55883e9 | − | 3.97184e9i | 0.171774 | − | 0.437672i | ||||
\(701\) | −1.14714e9 | + | 1.53075e10i | −0.125777 | + | 1.67838i | 0.475788 | + | 0.879560i | \(0.342163\pi\) |
−0.601566 | + | 0.798823i | \(0.705456\pi\) | |||||||
\(702\) | 8.82746e9 | − | 1.33053e9i | 0.963065 | − | 0.145159i | ||||
\(703\) | −3.75181e9 | − | 3.48117e9i | −0.407284 | − | 0.377904i | ||||
\(704\) | −1.54153e10 | − | 7.42360e9i | −1.66513 | − | 0.801882i | ||||
\(705\) | −1.13720e9 | + | 7.75330e8i | −0.122229 | + | 0.0833344i | ||||
\(706\) | −3.80163e9 | − | 9.68640e9i | −0.406587 | − | 1.03597i | ||||
\(707\) | −5.05700e9 | + | 1.55988e9i | −0.538176 | + | 0.166005i | ||||
\(708\) | 7.25617e9 | − | 6.73274e9i | 0.768407 | − | 0.712977i | ||||
\(709\) | 3.72209e9 | − | 4.66735e9i | 0.392216 | − | 0.491823i | −0.546043 | − | 0.837757i | \(-0.683867\pi\) |
0.938259 | + | 0.345934i | \(0.112438\pi\) | |||||||
\(710\) | 2.19558e9 | − | 2.75317e9i | 0.230221 | − | 0.288688i | ||||
\(711\) | −9.74691e9 | + | 9.04381e9i | −1.01701 | + | 0.943643i | ||||
\(712\) | −8.68037e9 | + | 2.67754e9i | −0.901277 | + | 0.278007i | ||||
\(713\) | −1.09798e10 | − | 2.79760e10i | −1.13444 | − | 2.89050i | ||||
\(714\) | 4.86670e8 | − | 3.31806e8i | 0.0500369 | − | 0.0341146i | ||||
\(715\) | −8.65771e9 | − | 4.16934e9i | −0.885793 | − | 0.426575i | ||||
\(716\) | −1.88480e9 | − | 1.74884e9i | −0.191897 | − | 0.178055i | ||||
\(717\) | 4.23804e8 | − | 6.38782e7i | 0.0429387 | − | 0.00647196i | ||||
\(718\) | 7.94450e8 | − | 1.06012e10i | 0.0800997 | − | 1.06886i | ||||
\(719\) | 4.88176e9 | − | 1.24385e10i | 0.489807 | − | 1.24801i | −0.445853 | − | 0.895106i | \(-0.647100\pi\) |
0.935660 | − | 0.352902i | \(-0.114805\pi\) | |||||||
\(720\) | 7.20463e9 | + | 3.15655e10i | 0.719362 | + | 3.15173i | ||||
\(721\) | −1.32774e9 | − | 1.77174e10i | −0.131928 | − | 1.76046i | ||||
\(722\) | −5.41838e8 | − | 1.67135e8i | −0.0535783 | − | 0.0165267i | ||||
\(723\) | 1.90369e9 | − | 9.16768e8i | 0.187332 | − | 0.0902143i | ||||
\(724\) | 8.70459e9 | − | 1.50768e10i | 0.852439 | − | 1.47647i | ||||
\(725\) | −3.80325e8 | − | 6.58742e8i | −0.0370657 | − | 0.0641996i | ||||
\(726\) | −1.51915e9 | − | 1.03574e9i | −0.147340 | − | 0.100455i | ||||
\(727\) | 1.18503e9 | − | 5.19196e9i | 0.114382 | − | 0.501142i | −0.884986 | − | 0.465617i | \(-0.845832\pi\) |
0.999369 | − | 0.0355252i | \(-0.0113104\pi\) | |||||||
\(728\) | 4.73391e10 | + | 7.13522e9i | 4.54737 | + | 0.685406i | ||||
\(729\) | −4.79219e9 | − | 6.00921e9i | −0.458129 | − | 0.574475i | ||||
\(730\) | 1.50373e10 | 1.43067 | ||||||||
\(731\) | −8.41929e8 | − | 9.54774e8i | −0.0797195 | − | 0.0904044i | ||||
\(732\) | −5.28928e9 | −0.498434 | ||||||||
\(733\) | 6.86708e9 | + | 8.61105e9i | 0.644033 | + | 0.807592i | 0.991501 | − | 0.130100i | \(-0.0415298\pi\) |
−0.347468 | + | 0.937692i | \(0.612958\pi\) | |||||||
\(734\) | 3.07953e8 | + | 4.64165e7i | 0.0287441 | + | 0.00433248i | ||||
\(735\) | 2.89000e8 | − | 1.26619e9i | 0.0268468 | − | 0.117623i | ||||
\(736\) | 5.18355e10 | + | 3.53408e10i | 4.79242 | + | 3.26742i | ||||
\(737\) | 5.65058e9 | + | 9.78708e9i | 0.519944 | + | 0.900569i | ||||
\(738\) | 2.47738e9 | − | 4.29096e9i | 0.226880 | − | 0.392968i | ||||
\(739\) | 1.76649e9 | − | 8.50695e8i | 0.161011 | − | 0.0775386i | −0.351643 | − | 0.936134i | \(-0.614377\pi\) |
0.512653 | + | 0.858596i | \(0.328663\pi\) | |||||||
\(740\) | −1.60633e10 | − | 4.95488e9i | −1.45722 | − | 0.449492i | ||||
\(741\) | 2.20576e8 | + | 2.94339e9i | 0.0199157 | + | 0.265756i | ||||
\(742\) | −4.71099e9 | − | 2.06402e10i | −0.423349 | − | 1.85481i | ||||
\(743\) | −2.63130e9 | + | 6.70444e9i | −0.235347 | + | 0.599655i | −0.998939 | − | 0.0460436i | \(-0.985339\pi\) |
0.763592 | + | 0.645699i | \(0.223434\pi\) | |||||||
\(744\) | 8.68506e8 | − | 1.15894e10i | 0.0773157 | − | 1.03171i | ||||
\(745\) | −9.48544e9 | + | 1.42970e9i | −0.840447 | + | 0.126677i | ||||
\(746\) | −4.43268e9 | − | 4.11293e9i | −0.390914 | − | 0.362715i | ||||
\(747\) | −1.06290e9 | − | 5.11864e8i | −0.0932973 | − | 0.0449296i | ||||
\(748\) | 2.22200e9 | − | 1.51494e9i | 0.194128 | − | 0.132354i | ||||
\(749\) | 1.65637e9 | + | 4.22037e9i | 0.144036 | + | 0.366999i | ||||
\(750\) | −4.10455e9 | + | 1.26608e9i | −0.355264 | + | 0.109584i | ||||
\(751\) | −5.10736e9 | + | 4.73894e9i | −0.440004 | + | 0.408264i | −0.868820 | − | 0.495128i | \(-0.835121\pi\) |
0.428816 | + | 0.903392i | \(0.358931\pi\) | |||||||
\(752\) | 1.48330e10 | − | 1.85999e10i | 1.27194 | − | 1.59496i | ||||
\(753\) | −8.67354e8 | + | 1.08763e9i | −0.0740311 | + | 0.0928321i | ||||
\(754\) | 1.01637e10 | − | 9.43051e9i | 0.863477 | − | 0.801190i | ||||
\(755\) | 8.66033e9 | − | 2.67136e9i | 0.732352 | − | 0.225901i | ||||
\(756\) | 5.84097e9 | + | 1.48826e10i | 0.491653 | + | 1.25271i | ||||
\(757\) | 3.81190e9 | − | 2.59891e9i | 0.319379 | − | 0.217749i | −0.393009 | − | 0.919535i | \(-0.628566\pi\) |
0.712388 | + | 0.701786i | \(0.247614\pi\) | |||||||
\(758\) | 2.65874e10 | + | 1.28038e10i | 2.21735 | + | 1.06782i | ||||
\(759\) | −2.77271e9 | − | 2.57270e9i | −0.230175 | − | 0.213571i | ||||
\(760\) | −3.95003e10 | + | 5.95371e9i | −3.26402 | + | 0.491971i | ||||
\(761\) | 4.94083e8 | − | 6.59308e9i | 0.0406400 | − | 0.542303i | −0.939311 | − | 0.343066i | \(-0.888535\pi\) |
0.979951 | − | 0.199237i | \(-0.0638464\pi\) | |||||||
\(762\) | −1.39036e9 | + | 3.54257e9i | −0.113837 | + | 0.290052i | ||||
\(763\) | 5.98400e9 | + | 2.62176e10i | 0.487703 | + | 2.13677i | ||||
\(764\) | 3.94187e7 | + | 5.26006e8i | 0.00319798 | + | 0.0426741i | ||||
\(765\) | −1.45685e9 | − | 4.49377e8i | −0.117652 | − | 0.0362908i | ||||
\(766\) | 9.45486e9 | − | 4.55322e9i | 0.760071 | − | 0.366031i | ||||
\(767\) | −1.43937e10 | + | 2.49307e10i | −1.15183 | + | 1.99503i | ||||
\(768\) | 1.05467e9 | + | 1.82673e9i | 0.0840138 | + | 0.145516i | ||||
\(769\) | 5.07036e9 | + | 3.45691e9i | 0.402065 | + | 0.274123i | 0.747424 | − | 0.664347i | \(-0.231290\pi\) |
−0.345359 | + | 0.938471i | \(0.612243\pi\) | |||||||
\(770\) | 5.30168e9 | − | 2.32282e10i | 0.418501 | − | 1.83357i | ||||
\(771\) | 9.77048e8 | + | 1.47266e8i | 0.0767760 | + | 0.0115721i | ||||
\(772\) | 2.24453e9 | + | 2.81455e9i | 0.175576 | + | 0.220165i | ||||
\(773\) | 8.86592e8 | 0.0690392 | 0.0345196 | − | 0.999404i | \(-0.489010\pi\) | ||||
0.0345196 | + | 0.999404i | \(0.489010\pi\) | |||||||
\(774\) | 2.05156e10 | − | 1.11618e10i | 1.59034 | − | 0.865246i | ||||
\(775\) | 3.01239e9 | 0.232464 | ||||||||
\(776\) | −1.83441e10 | − | 2.30027e10i | −1.40922 | − | 1.76711i | ||||
\(777\) | −1.87454e9 | − | 2.82541e8i | −0.143358 | − | 0.0216077i | ||||
\(778\) | 8.19497e9 | − | 3.59045e10i | 0.623906 | − | 2.73351i | ||||
\(779\) | 2.77231e9 | + | 1.89013e9i | 0.210117 | + | 0.143255i | ||||
\(780\) | 4.84729e9 | + | 8.39575e9i | 0.365736 | + | 0.633474i | ||||
\(781\) | 9.06569e8 | − | 1.57022e9i | 0.0680961 | − | 0.117946i | ||||
\(782\) | −5.38697e9 | + | 2.59423e9i | −0.402829 | + | 0.193992i | ||||
\(783\) | 2.72354e9 | + | 8.40102e8i | 0.202753 | + | 0.0625412i | ||||
\(784\) | 1.67760e9 | + | 2.23861e10i | 0.124332 | + | 1.65910i | ||||
\(785\) | −3.12487e9 | − | 1.36909e10i | −0.230562 | − | 1.01016i | ||||
\(786\) | −1.47900e7 | + | 3.76843e7i | −0.00108640 | + | 0.00276810i | ||||
\(787\) | −7.25510e8 | + | 9.68126e9i | −0.0530557 | + | 0.707979i | 0.905731 | + | 0.423853i | \(0.139323\pi\) |
−0.958787 | + | 0.284126i | \(0.908296\pi\) | |||||||
\(788\) | −5.77783e10 | + | 8.70867e9i | −4.20652 | + | 0.634031i | ||||
\(789\) | 1.20000e9 | + | 1.11344e9i | 0.0869787 | + | 0.0807044i | ||||
\(790\) | −3.68890e10 | − | 1.77648e10i | −2.66196 | − | 1.28193i | ||||
\(791\) | 9.76936e9 | − | 6.66063e9i | 0.701856 | − | 0.478518i | ||||
\(792\) | 1.10962e10 | + | 2.82726e10i | 0.793662 | + | 2.02222i | ||||
\(793\) | 1.46991e10 | − | 4.53408e9i | 1.04673 | − | 0.322874i | ||||
\(794\) | 3.71556e9 | − | 3.44754e9i | 0.263422 | − | 0.244420i | ||||
\(795\) | 1.64539e9 | − | 2.06325e9i | 0.116140 | − | 0.145635i | ||||
\(796\) | 3.70910e10 | − | 4.65107e10i | 2.60659 | − | 3.26856i | ||||
\(797\) | −1.14833e10 | + | 1.06550e10i | −0.803459 | + | 0.745501i | −0.970669 | − | 0.240420i | \(-0.922715\pi\) |
0.167210 | + | 0.985921i | \(0.446524\pi\) | |||||||
\(798\) | −6.99321e9 | + | 2.15712e9i | −0.487154 | + | 0.150267i | ||||
\(799\) | 4.09266e8 | + | 1.04279e9i | 0.0283852 | + | 0.0723243i | ||||
\(800\) | −5.19568e9 | + | 3.54236e9i | −0.358780 | + | 0.244612i | ||||
\(801\) | 3.88097e9 | + | 1.86898e9i | 0.266825 | + | 0.128496i | ||||
\(802\) | 1.76191e10 | + | 1.63482e10i | 1.20608 | + | 1.11907i | ||||
\(803\) | 7.65602e9 | − | 1.15396e9i | 0.521793 | − | 0.0786477i | ||||
\(804\) | 8.52028e8 | − | 1.13695e10i | 0.0578173 | − | 0.771518i | ||||
\(805\) | −1.39785e10 | + | 3.56166e10i | −0.944442 | + | 2.40640i | ||||
\(806\) | 1.22184e10 | + | 5.35321e10i | 0.821940 | + | 3.60116i | ||||
\(807\) | −3.81450e8 | − | 5.09009e9i | −0.0255493 | − | 0.340932i | ||||
\(808\) | 1.98509e10 | + | 6.12319e9i | 1.32386 | + | 0.408355i | ||||
\(809\) | −1.44097e8 | + | 6.93933e7i | −0.00956828 | + | 0.00460784i | −0.438662 | − | 0.898652i | \(-0.644547\pi\) |
0.429093 | + | 0.903260i | \(0.358833\pi\) | |||||||
\(810\) | 1.32799e10 | − | 2.30015e10i | 0.878006 | − | 1.52075i | ||||
\(811\) | −5.24133e9 | − | 9.07826e9i | −0.345040 | − | 0.597626i | 0.640321 | − | 0.768107i | \(-0.278801\pi\) |
−0.985361 | + | 0.170481i | \(0.945468\pi\) | |||||||
\(812\) | 2.05161e10 | + | 1.39876e10i | 1.34477 | + | 0.916850i | ||||
\(813\) | 1.22594e9 | − | 5.37118e9i | 0.0800112 | − | 0.350552i | ||||
\(814\) | −1.18490e10 | − | 1.78595e9i | −0.770008 | − | 0.116060i | ||||
\(815\) | −1.37896e10 | − | 1.72916e10i | −0.892277 | − | 1.11888i | ||||
\(816\) | −1.26909e9 | −0.0817669 | ||||||||
\(817\) | 6.49933e9 | + | 1.44190e10i | 0.416957 | + | 0.925037i | ||||
\(818\) | −9.74901e9 | −0.622765 | ||||||||
\(819\) | −1.41541e10 | − | 1.77487e10i | −0.900305 | − | 1.12895i | ||||
\(820\) | 1.08974e10 | + | 1.64252e9i | 0.690201 | + | 0.104031i | ||||
\(821\) | 1.91665e9 | − | 8.39740e9i | 0.120877 | − | 0.529595i | −0.877840 | − | 0.478953i | \(-0.841016\pi\) |
0.998717 | − | 0.0506415i | \(-0.0161266\pi\) | |||||||
\(822\) | 7.14173e9 | + | 4.86915e9i | 0.448489 | + | 0.305775i | ||||
\(823\) | 4.36902e9 | + | 7.56736e9i | 0.273202 | + | 0.473201i | 0.969680 | − | 0.244378i | \(-0.0785838\pi\) |
−0.696478 | + | 0.717579i | \(0.745250\pi\) | |||||||
\(824\) | −3.48718e10 | + | 6.03997e10i | −2.17134 | + | 3.76088i | ||||
\(825\) | 3.41582e8 | − | 1.64497e8i | 0.0211790 | − | 0.0101993i | ||||
\(826\) | −6.82050e10 | − | 2.10385e10i | −4.21101 | − | 1.29892i | ||||
\(827\) | −3.43205e8 | − | 4.57975e9i | −0.0211001 | − | 0.281561i | −0.997766 | − | 0.0667989i | \(-0.978721\pi\) |
0.976666 | − | 0.214762i | \(-0.0688977\pi\) | |||||||
\(828\) | −1.76319e10 | − | 7.72505e10i | −1.07943 | − | 4.72928i | ||||
\(829\) | −8.03953e9 | + | 2.04844e10i | −0.490106 | + | 1.24877i | 0.445360 | + | 0.895352i | \(0.353076\pi\) |
−0.935466 | + | 0.353418i | \(0.885019\pi\) | |||||||
\(830\) | 2.71476e8 | − | 3.62260e9i | 0.0164801 | − | 0.219911i | ||||
\(831\) | −1.02498e9 | + | 1.54490e8i | −0.0619598 | + | 0.00933894i | ||||
\(832\) | −3.67995e10 | − | 3.41450e10i | −2.21519 | − | 2.05539i | ||||
\(833\) | −9.52385e8 | − | 4.58645e8i | −0.0570894 | − | 0.0274928i | ||||
\(834\) | 7.57787e9 | − | 5.16650e9i | 0.452341 | − | 0.308401i | ||||
\(835\) | 1.80522e9 | + | 4.59963e9i | 0.107307 | + | 0.273414i | ||||
\(836\) | −3.19291e10 | + | 9.84882e9i | −1.89001 | + | 0.582992i | ||||
\(837\) | −8.27431e9 | + | 7.67743e9i | −0.487745 | + | 0.452561i | ||||
\(838\) | 7.30961e9 | − | 9.16596e9i | 0.429082 | − | 0.538051i | ||||
\(839\) | 2.06810e10 | − | 2.59331e10i | 1.20894 | − | 1.51596i | 0.412825 | − | 0.910810i | \(-0.364542\pi\) |
0.796112 | − | 0.605149i | \(-0.206886\pi\) | |||||||
\(840\) | −1.08462e10 | + | 1.00638e10i | −0.631396 | + | 0.585849i | ||||
\(841\) | −1.22535e10 | + | 3.77972e9i | −0.710356 | + | 0.219116i | ||||
\(842\) | 5.56179e9 | + | 1.41712e10i | 0.321087 | + | 0.818115i | ||||
\(843\) | 7.05196e7 | − | 4.80794e7i | 0.00405427 | − | 0.00276416i | ||||
\(844\) | −3.74708e10 | − | 1.80450e10i | −2.14533 | − | 1.03314i | ||||
\(845\) | −6.90238e9 | − | 6.40447e9i | −0.393550 | − | 0.365161i | ||||
\(846\) | −2.03236e10 | + | 3.06328e9i | −1.15399 | + | 0.173937i | ||||
\(847\) | −7.15638e8 | + | 9.54952e9i | −0.0404670 | + | 0.539995i | ||||
\(848\) | −1.66649e10 | + | 4.24616e10i | −0.938466 | + | 2.39117i | ||||
\(849\) | −5.24433e8 | − | 2.29769e9i | −0.0294112 | − | 0.128859i | ||||
\(850\) | −4.47863e7 | − | 5.97632e8i | −0.00250138 | − | 0.0333786i | ||||
\(851\) | 1.83883e10 | + | 5.67205e9i | 1.02280 | + | 0.315491i | ||||
\(852\) | −1.64807e9 | + | 7.93670e8i | −0.0912931 | + | 0.0439644i | ||||
\(853\) | 1.26649e9 | − | 2.19362e9i | 0.0698681 | − | 0.121015i | −0.828975 | − | 0.559286i | \(-0.811075\pi\) |
0.898843 | + | 0.438271i | \(0.144409\pi\) | |||||||
\(854\) | 1.90698e10 | + | 3.30299e10i | 1.04772 | + | 1.81470i | ||||
\(855\) | 1.56509e10 | + | 1.06706e10i | 0.856363 | + | 0.583858i | ||||
\(856\) | 3.96021e9 | − | 1.73508e10i | 0.215804 | − | 0.945501i | ||||
\(857\) | 8.29896e9 | + | 1.25087e9i | 0.450392 | + | 0.0678857i | 0.370322 | − | 0.928904i | \(-0.379247\pi\) |
0.0800703 | + | 0.996789i | \(0.474486\pi\) | |||||||
\(858\) | 4.30869e9 | + | 5.40293e9i | 0.232884 | + | 0.292028i | ||||
\(859\) | 2.91875e10 | 1.57116 | 0.785581 | − | 0.618759i | \(-0.212364\pi\) | ||||
0.785581 | + | 0.618759i | \(0.212364\pi\) | |||||||
\(860\) | 3.97811e10 | + | 3.34068e10i | 2.13271 | + | 1.79098i | ||||
\(861\) | 1.24281e9 | 0.0663579 | ||||||||
\(862\) | 2.00512e10 | + | 2.51435e10i | 1.06627 | + | 1.33706i | ||||
\(863\) | −9.74092e9 | − | 1.46821e9i | −0.515896 | − | 0.0777588i | −0.114066 | − | 0.993473i | \(-0.536388\pi\) |
−0.401830 | + | 0.915714i | \(0.631626\pi\) | |||||||
\(864\) | 5.24317e9 | − | 2.29718e10i | 0.276564 | − | 1.21171i | ||||
\(865\) | 1.05444e10 | + | 7.18905e9i | 0.553943 | + | 0.377672i | ||||
\(866\) | 2.79199e10 | + | 4.83586e10i | 1.46083 | + | 2.53024i | ||||
\(867\) | −2.02678e9 | + | 3.51048e9i | −0.105618 | + | 0.182936i | ||||
\(868\) | −8.85982e10 | + | 4.26667e10i | −4.59839 | + | 2.21447i | ||||
\(869\) | −2.01448e10 | − | 6.21384e9i | −1.04134 | − | 0.321211i | ||||
\(870\) | 3.20227e8 | + | 4.27313e9i | 0.0164869 | + | 0.220003i | ||||
\(871\) | 7.37836e9 | + | 3.23267e10i | 0.378352 | + | 1.65767i | ||||
\(872\) | 3.85662e10 | − | 9.82651e10i | 1.96970 | − | 5.01870i | ||||
\(873\) | −1.04260e9 | + | 1.39125e10i | −0.0530356 | + | 0.707712i | ||||
\(874\) | 7.34583e10 | − | 1.10720e10i | 3.72178 | − | 0.560968i | ||||
\(875\) | 1.63999e10 | + | 1.52168e10i | 0.827583 | + | 0.767885i | ||||
\(876\) | −7.03763e9 | − | 3.38914e9i | −0.353722 | − | 0.170343i | ||||
\(877\) | 5.78842e9 | − | 3.94648e9i | 0.289775 | − | 0.197566i | −0.409704 | − | 0.912219i | \(-0.634368\pi\) |
0.699479 | + | 0.714653i | \(0.253415\pi\) | |||||||
\(878\) | −2.10841e10 | − | 5.37214e10i | −1.05129 | − | 2.67865i | ||||
\(879\) | −6.25171e8 | + | 1.92840e8i | −0.0310483 | + | 0.00957714i | ||||
\(880\) | −3.76306e10 | + | 3.49161e10i | −1.86145 | + | 1.72718i | ||||
\(881\) | −1.13220e10 | + | 1.41973e10i | −0.557837 | + | 0.699505i | −0.978156 | − | 0.207871i | \(-0.933347\pi\) |
0.420319 | + | 0.907376i | \(0.361918\pi\) | |||||||
\(882\) | 1.20921e10 | − | 1.51630e10i | 0.593421 | − | 0.744126i | ||||
\(883\) | −5.02500e9 | + | 4.66252e9i | −0.245626 | + | 0.227907i | −0.793372 | − | 0.608737i | \(-0.791676\pi\) |
0.547746 | + | 0.836645i | \(0.315486\pi\) | |||||||
\(884\) | 7.53996e9 | − | 2.32577e9i | 0.367101 | − | 0.113236i | ||||
\(885\) | −3.25049e9 | − | 8.28210e9i | −0.157633 | − | 0.401642i | ||||
\(886\) | 1.87913e10 | − | 1.28117e10i | 0.907693 | − | 0.618855i | ||||
\(887\) | −2.63335e10 | − | 1.26815e10i | −1.26700 | − | 0.610153i | −0.324980 | − | 0.945721i | \(-0.605357\pi\) |
−0.942016 | + | 0.335568i | \(0.891072\pi\) | |||||||
\(888\) | 5.45500e9 | + | 5.06150e9i | 0.261427 | + | 0.242568i | ||||
\(889\) | 1.95999e10 | − | 2.95421e9i | 0.935616 | − | 0.141021i | ||||
\(890\) | −9.91245e8 | + | 1.32272e10i | −0.0471320 | + | 0.628933i | ||||
\(891\) | 4.99614e9 | − | 1.27300e10i | 0.236626 | − | 0.602914i | ||||
\(892\) | −1.62449e10 | − | 7.11736e10i | −0.766373 | − | 3.35770i | ||||
\(893\) | −1.04013e9 | − | 1.38795e10i | −0.0488773 | − | 0.652222i | ||||
\(894\) | 6.59207e9 | + | 2.03338e9i | 0.308561 | + | 0.0951784i | ||||
\(895\) | −2.08217e9 | + | 1.00272e9i | −0.0970814 | + | 0.0467519i | ||||
\(896\) | 2.27748e10 | − | 3.94471e10i | 1.05773 | − | 1.83205i | ||||
\(897\) | −5.54889e9 | − | 9.61095e9i | −0.256704 | − | 0.444624i | ||||
\(898\) | −3.11031e10 | − | 2.12058e10i | −1.43330 | − | 0.977207i | ||||
\(899\) | −3.90095e9 | + | 1.70912e10i | −0.179065 | + | 0.784536i | ||||
\(900\) | 7.85356e9 | + | 1.18373e9i | 0.359102 | + | 0.0541259i | ||||
\(901\) | −1.33919e9 | − | 1.67930e9i | −0.0609968 | − | 0.0764876i | ||||
\(902\) | 7.85578e9 | 0.356424 | ||||||||
\(903\) | 4.99758e9 | + | 3.05664e9i | 0.225867 | + | 0.138146i | ||||
\(904\) | −4.64139e10 | −2.08958 | ||||||||
\(905\) | −9.75629e9 | − | 1.22340e10i | −0.437537 | − | 0.548654i | ||||
\(906\) | −6.44489e9 | − | 9.71410e8i | −0.287917 | − | 0.0433964i | ||||
\(907\) | −7.66001e9 | + | 3.35607e10i | −0.340882 | + | 1.49350i | 0.456335 | + | 0.889808i | \(0.349162\pi\) |
−0.797217 | + | 0.603693i | \(0.793695\pi\) | |||||||
\(908\) | 1.60144e9 | + | 1.09184e9i | 0.0709919 | + | 0.0484015i | ||||
\(909\) | −4.92541e9 | − | 8.53106e9i | −0.217505 | − | 0.376729i | ||||
\(910\) | 3.49526e10 | − | 6.05396e10i | 1.53757 | − | 2.66314i | ||||
\(911\) | 2.81071e10 | − | 1.35357e10i | 1.23169 | − | 0.593151i | 0.299147 | − | 0.954207i | \(-0.403298\pi\) |
0.932544 | + | 0.361055i | \(0.117583\pi\) | |||||||
\(912\) | 1.50675e10 | + | 4.64770e9i | 0.657747 | + | 0.202888i | ||||
\(913\) | −1.39779e8 | − | 1.86523e9i | −0.00607849 | − | 0.0811118i | ||||
\(914\) | −9.07149e9 | − | 3.97448e10i | −0.392977 | − | 1.72174i | ||||
\(915\) | −1.73689e9 | + | 4.42552e9i | −0.0749546 | + | 0.190981i | ||||
\(916\) | −8.38516e9 | + | 1.11892e11i | −0.360477 | + | 4.81023i | ||||
\(917\) | 2.08495e8 | − | 3.14255e7i | 0.00892900 | − | 0.00134583i | ||||
\(918\) | 1.64615e9 | + | 1.52741e9i | 0.0702298 | + | 0.0651637i | ||||
\(919\) | −1.21608e10 | − | 5.85634e9i | −0.516842 | − | 0.248898i | 0.157232 | − | 0.987562i | \(-0.449743\pi\) |
−0.674074 | + | 0.738664i | \(0.735457\pi\) | |||||||
\(920\) | 1.24095e11 | − | 8.46068e10i | 5.25410 | − | 3.58218i | ||||
\(921\) | −2.07715e9 | − | 5.29250e9i | −0.0876112 | − | 0.223230i | ||||
\(922\) | 1.13146e10 | − | 3.49010e9i | 0.475425 | − | 0.146649i | ||||
\(923\) | 3.89971e9 | − | 3.61840e9i | 0.163240 | − | 0.151464i | ||||
\(924\) | −7.71647e9 | + | 9.67615e9i | −0.321786 | + | 0.403507i | ||||
\(925\) | −1.20261e9 | + | 1.50802e9i | −0.0499606 | + | 0.0626486i | ||||
\(926\) | 3.43810e10 | − | 3.19009e10i | 1.42292 | − | 1.32028i | ||||
\(927\) | 3.16026e10 | − | 9.74813e9i | 1.30300 | − | 0.401922i | ||||
\(928\) | −1.33698e10 | − | 3.40656e10i | −0.549169 | − | 1.39926i | ||||
\(929\) | 2.82106e9 | − | 1.92337e9i | 0.115440 | − | 0.0787058i | −0.504224 | − | 0.863573i | \(-0.668221\pi\) |
0.619664 | + | 0.784867i | \(0.287269\pi\) | |||||||
\(930\) | −1.52897e10 | − | 7.36312e9i | −0.623315 | − | 0.300173i | ||||
\(931\) | 9.62768e9 | + | 8.93318e9i | 0.391019 | + | 0.362813i | ||||
\(932\) | −1.15006e11 | + | 1.73344e10i | −4.65334 | + | 0.701379i | ||||
\(933\) | 2.68427e8 | − | 3.58191e9i | 0.0108203 | − | 0.144387i | ||||
\(934\) | −1.41623e10 | + | 3.60850e10i | −0.568749 | + | 1.44915i | ||||
\(935\) | −5.37882e8 | − | 2.35661e9i | −0.0215202 | − | 0.0942861i | ||||
\(936\) | 6.65943e9 | + | 8.88639e10i | 0.265443 | + | 3.54209i | ||||
\(937\) | 3.26782e9 | + | 1.00799e9i | 0.129769 | + | 0.0400283i | 0.358959 | − | 0.933353i | \(-0.383132\pi\) |
−0.229191 | + | 0.973382i | \(0.573608\pi\) | |||||||
\(938\) | −7.40710e10 | + | 3.56707e10i | −2.93047 | + | 1.41124i | ||||
\(939\) | 1.45694e9 | − | 2.52349e9i | 0.0574264 | − | 0.0994654i | ||||
\(940\) | −2.28574e10 | − | 3.95902e10i | −0.897593 | − | 1.55468i | ||||
\(941\) | 8.73497e9 | + | 5.95540e9i | 0.341742 | + | 0.232996i | 0.722013 | − | 0.691879i | \(-0.243217\pi\) |
−0.380271 | + | 0.924875i | \(0.624169\pi\) | |||||||
\(942\) | −2.24727e9 | + | 9.84591e9i | −0.0875944 | + | 0.383776i | ||||
\(943\) | −1.24747e10 | − | 1.88026e9i | −0.484440 | − | 0.0730176i | ||||
\(944\) | 9.58840e10 | + | 1.20235e11i | 3.70975 | + | 4.65188i | ||||
\(945\) | 1.43702e10 | 0.553927 | ||||||||
\(946\) | 3.15897e10 | + | 1.93211e10i | 1.21318 | + | 0.742014i | ||||
\(947\) | −8.95822e9 | −0.342765 | −0.171383 | − | 0.985205i | \(-0.554823\pi\) | ||||
−0.171383 | + | 0.985205i | \(0.554823\pi\) | |||||||
\(948\) | 1.32606e10 | + | 1.66283e10i | 0.505515 | + | 0.633896i | ||||
\(949\) | 2.24631e10 | + | 3.38576e9i | 0.853173 | + | 0.128595i | ||||
\(950\) | −1.65693e9 | + | 7.25950e9i | −0.0627007 | + | 0.274710i | ||||
\(951\) | 7.20072e9 | + | 4.90937e9i | 0.271484 | + | 0.185095i | ||||
\(952\) | 6.02130e9 | + | 1.04292e10i | 0.226184 | + | 0.391761i | ||||
\(953\) | 5.81569e9 | − | 1.00731e10i | 0.217659 | − | 0.376996i | −0.736433 | − | 0.676510i | \(-0.763491\pi\) |
0.954092 | + | 0.299515i | \(0.0968247\pi\) | |||||||
\(954\) | 3.55054e10 | − | 1.70985e10i | 1.32396 | − | 0.637586i | ||||
\(955\) | 4.53052e8 | + | 1.39748e8i | 0.0168320 | + | 0.00519199i | ||||
\(956\) | 1.06381e9 | + | 1.41956e10i | 0.0393788 | + | 0.525473i | ||||
\(957\) | 4.90958e8 | + | 2.15103e9i | 0.0181072 | + | 0.0793330i | ||||
\(958\) | −2.11653e10 | + | 5.39283e10i | −0.777760 | + | 1.98170i | ||||
\(959\) | 3.36432e9 | − | 4.48937e10i | 0.123178 | − | 1.64369i | ||||
\(960\) | 1.53418e10 | − | 2.31240e9i | 0.559663 | − | 0.0843556i | ||||
\(961\) | −3.07250e10 | − | 2.85087e10i | −1.11676 | − | 1.03620i | ||||
\(962\) | −3.16763e10 | − | 1.52545e10i | −1.14715 | − | 0.552441i | ||||
\(963\) | −6.97283e9 | + | 4.75400e9i | −0.251604 | + | 0.171541i | ||||
\(964\) | 2.56395e10 | + | 6.53285e10i | 0.921808 | + | 2.34873i | ||||
\(965\) | 3.09198e9 | − | 9.53749e8i | 0.110762 | − | 0.0341656i | ||||
\(966\) | 2.01706e10 | − | 1.87156e10i | 0.719946 | − | 0.668012i | ||||
\(967\) | −1.38135e10 | + | 1.73216e10i | −0.491261 | + | 0.616021i | −0.964233 | − | 0.265056i | \(-0.914610\pi\) |
0.472972 | + | 0.881077i | \(0.343181\pi\) | |||||||
\(968\) | 2.34377e10 | − | 2.93899e10i | 0.830522 | − | 1.04144i | ||||
\(969\) | −5.44278e8 | + | 5.05016e8i | −0.0192171 | + | 0.0178308i | ||||
\(970\) | −4.10526e10 | + | 1.26631e10i | −1.44424 | + | 0.445490i | ||||
\(971\) | −7.00688e8 | − | 1.78532e9i | −0.0245616 | − | 0.0625820i | 0.918067 | − | 0.396426i | \(-0.129750\pi\) |
−0.942629 | + | 0.333844i | \(0.891654\pi\) | |||||||
\(972\) | −3.71722e10 | + | 2.53436e10i | −1.29833 | + | 0.885188i | ||||
\(973\) | −4.30383e10 | − | 2.07262e10i | −1.49782 | − | 0.721313i | ||||
\(974\) | 3.80424e8 | + | 3.52982e8i | 0.0131920 | + | 0.0122404i | ||||
\(975\) | 1.09995e9 | − | 1.65791e8i | 0.0380064 | − | 0.00572855i | ||||
\(976\) | 6.14096e9 | − | 8.19454e10i | 0.211428 | − | 2.82131i | ||||
\(977\) | 6.52289e9 | − | 1.66200e10i | 0.223774 | − | 0.570166i | −0.774259 | − | 0.632869i | \(-0.781877\pi\) |
0.998032 | + | 0.0627035i | \(0.0199723\pi\) | |||||||
\(978\) | 3.53928e9 | + | 1.55066e10i | 0.120984 | + | 0.530067i | ||||
\(979\) | 5.10378e8 | + | 6.81052e9i | 0.0173841 | + | 0.231975i | ||||
\(980\) | 4.12208e10 | + | 1.27149e10i | 1.39902 | + | 0.431541i | ||||
\(981\) | −4.50997e10 | + | 2.17189e10i | −1.52522 | + | 0.734507i | ||||
\(982\) | −3.94829e10 | + | 6.83864e10i | −1.33051 | + | 2.30452i | ||||
\(983\) | 2.03920e10 | + | 3.53200e10i | 0.684736 | + | 1.18600i | 0.973520 | + | 0.228604i | \(0.0734160\pi\) |
−0.288783 | + | 0.957394i | \(0.593251\pi\) | |||||||
\(984\) | −4.03085e9 | − | 2.74819e9i | −0.134870 | − | 0.0919525i | ||||
\(985\) | −1.16867e10 | + | 5.12026e10i | −0.389640 | + | 1.70712i | ||||
\(986\) | 3.44874e9 | + | 5.19814e8i | 0.114575 | + | 0.0172694i | ||||
\(987\) | −3.21431e9 | − | 4.03061e9i | −0.106409 | − | 0.133432i | ||||
\(988\) | −9.80368e10 | −3.23400 | ||||||||
\(989\) | −4.55390e10 | − | 3.82422e10i | −1.49691 | − | 1.25706i | ||||
\(990\) | 4.43492e10 | 1.45266 | ||||||||
\(991\) | −1.13608e10 | − | 1.42460e10i | −0.370811 | − | 0.464982i | 0.561059 | − | 0.827776i | \(-0.310394\pi\) |
−0.931869 | + | 0.362794i | \(0.881823\pi\) | |||||||
\(992\) | 1.43309e11 | + | 2.16004e10i | 4.66104 | + | 0.702538i | ||||
\(993\) | 1.43932e9 | − | 6.30606e9i | 0.0466481 | − | 0.204379i | ||||
\(994\) | 1.08981e10 | + | 7.43022e9i | 0.351965 | + | 0.239966i | ||||
\(995\) | −2.67354e10 | − | 4.63071e10i | −0.860411 | − | 1.49027i | ||||
\(996\) | −9.43524e8 | + | 1.63423e9i | −0.0302584 | + | 0.0524090i | ||||
\(997\) | 2.11407e10 | − | 1.01808e10i | 0.675595 | − | 0.325350i | −0.0644360 | − | 0.997922i | \(-0.520525\pi\) |
0.740032 | + | 0.672572i | \(0.234811\pi\) | |||||||
\(998\) | 8.14936e10 | + | 2.51375e10i | 2.59518 | + | 0.800506i | ||||
\(999\) | −5.40101e8 | − | 7.20715e9i | −0.0171394 | − | 0.228710i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.8.g.a.9.1 | ✓ | 300 | |
43.24 | even | 21 | inner | 43.8.g.a.24.1 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.1 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.24.1 | yes | 300 | 43.24 | even | 21 | inner |