Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [71,8,Mod(5,71)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(71, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("71.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 71 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 71.c (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1793368094\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 57.15 | ||
Character | \(\chi\) | \(=\) | 71.57 |
Dual form | 71.8.c.a.5.15 |
$q$-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 \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27884 | + | 7.01354i | −0.201423 | + | 0.619915i | 0.798419 | + | 0.602103i | \(0.205670\pi\) |
−0.999841 | + | 0.0178124i | \(0.994330\pi\) | |||||||
\(3\) | −19.8378 | + | 61.0546i | −0.424199 | + | 1.30555i | 0.479560 | + | 0.877509i | \(0.340796\pi\) |
−0.903759 | + | 0.428042i | \(0.859204\pi\) | |||||||
\(4\) | 59.5576 | + | 43.2711i | 0.465294 | + | 0.338056i | ||||
\(5\) | 357.700 | − | 259.884i | 1.27975 | − | 0.929791i | 0.280202 | − | 0.959941i | \(-0.409599\pi\) |
0.999545 | + | 0.0301503i | \(0.00959860\pi\) | |||||||
\(6\) | −383.001 | − | 278.267i | −0.723887 | − | 0.525935i | ||||
\(7\) | −219.765 | + | 676.366i | −0.242167 | + | 0.745313i | 0.753923 | + | 0.656963i | \(0.228159\pi\) |
−0.996090 | + | 0.0883499i | \(0.971841\pi\) | |||||||
\(8\) | −1202.86 | + | 873.931i | −0.830617 | + | 0.603479i | ||||
\(9\) | −1564.80 | − | 1136.90i | −0.715502 | − | 0.519843i | ||||
\(10\) | 1007.57 | + | 3100.98i | 0.318621 | + | 0.980615i | ||||
\(11\) | 613.702 | − | 1888.78i | 0.139022 | − | 0.427865i | −0.857172 | − | 0.515030i | \(-0.827781\pi\) |
0.996194 | + | 0.0871649i | \(0.0277807\pi\) | |||||||
\(12\) | −3823.39 | + | 2777.86i | −0.638726 | + | 0.464062i | ||||
\(13\) | 2526.97 | + | 7777.23i | 0.319006 | + | 0.981800i | 0.974074 | + | 0.226230i | \(0.0726400\pi\) |
−0.655068 | + | 0.755570i | \(0.727360\pi\) | |||||||
\(14\) | −4242.91 | − | 3082.66i | −0.413253 | − | 0.300246i | ||||
\(15\) | 8771.14 | + | 26994.8i | 0.671022 | + | 2.06519i | ||||
\(16\) | −476.350 | − | 1466.06i | −0.0290741 | − | 0.0894810i | ||||
\(17\) | 8629.66 | + | 26559.3i | 0.426012 | + | 1.31113i | 0.902022 | + | 0.431691i | \(0.142083\pi\) |
−0.476009 | + | 0.879440i | \(0.657917\pi\) | |||||||
\(18\) | 11539.6 | − | 8384.00i | 0.466376 | − | 0.338842i | ||||
\(19\) | −1879.43 | + | 5784.30i | −0.0628622 | + | 0.193470i | −0.977555 | − | 0.210679i | \(-0.932432\pi\) |
0.914693 | + | 0.404149i | \(0.132432\pi\) | |||||||
\(20\) | 32549.2 | 0.909779 | ||||||||
\(21\) | −36935.6 | − | 26835.3i | −0.870317 | − | 0.632323i | ||||
\(22\) | 11848.5 | + | 8608.44i | 0.237238 | + | 0.172363i | ||||
\(23\) | −106926. | −1.83247 | −0.916237 | − | 0.400638i | \(-0.868789\pi\) | ||||
−0.916237 | + | 0.400638i | \(0.868789\pi\) | |||||||
\(24\) | −29495.3 | − | 90777.2i | −0.435525 | − | 1.34041i | ||||
\(25\) | 36267.6 | − | 111620.i | 0.464225 | − | 1.42874i | ||||
\(26\) | −60304.4 | −0.672887 | ||||||||
\(27\) | −13129.3 | + | 9539.00i | −0.128371 | + | 0.0932673i | ||||
\(28\) | −42355.8 | + | 30773.3i | −0.364636 | + | 0.264924i | ||||
\(29\) | −2092.52 | + | 1520.31i | −0.0159323 | + | 0.0115755i | −0.595723 | − | 0.803190i | \(-0.703134\pi\) |
0.579791 | + | 0.814766i | \(0.303134\pi\) | |||||||
\(30\) | −209317. | −1.41540 | ||||||||
\(31\) | 57927.3 | − | 178282.i | 0.349235 | − | 1.07483i | −0.610043 | − | 0.792369i | \(-0.708848\pi\) |
0.959277 | − | 0.282466i | \(-0.0911523\pi\) | |||||||
\(32\) | −178945. | −0.965373 | ||||||||
\(33\) | 103144. | + | 74938.6i | 0.499627 | + | 0.363000i | ||||
\(34\) | −205941. | −0.898598 | ||||||||
\(35\) | 97167.2 | + | 299050.i | 0.383073 | + | 1.17898i | ||||
\(36\) | −44001.1 | − | 135422.i | −0.157183 | − | 0.483759i | ||||
\(37\) | 314396. | 1.02040 | 0.510201 | − | 0.860055i | \(-0.329571\pi\) | ||||
0.510201 | + | 0.860055i | \(0.329571\pi\) | |||||||
\(38\) | −36285.5 | − | 26363.0i | −0.107273 | − | 0.0779384i | ||||
\(39\) | −524965. | −1.41711 | ||||||||
\(40\) | −203143. | + | 625210.i | −0.501871 | + | 1.54460i | ||||
\(41\) | −453520. | −1.02767 | −0.513834 | − | 0.857890i | \(-0.671775\pi\) | ||||
−0.513834 | + | 0.857890i | \(0.671775\pi\) | |||||||
\(42\) | 272380. | − | 197896.i | 0.567288 | − | 0.412159i | ||||
\(43\) | 571609. | − | 415298.i | 1.09638 | − | 0.796564i | 0.115912 | − | 0.993260i | \(-0.463021\pi\) |
0.980465 | + | 0.196695i | \(0.0630210\pi\) | |||||||
\(44\) | 118280. | − | 85935.6i | 0.209328 | − | 0.152086i | ||||
\(45\) | −855192. | −1.39901 | ||||||||
\(46\) | 243668. | − | 749932.i | 0.369101 | − | 1.13598i | ||||
\(47\) | −52738.6 | − | 162313.i | −0.0740945 | − | 0.228039i | 0.907150 | − | 0.420808i | \(-0.138253\pi\) |
−0.981244 | + | 0.192768i | \(0.938253\pi\) | |||||||
\(48\) | 98959.2 | 0.129155 | ||||||||
\(49\) | 257086. | + | 186784.i | 0.312170 | + | 0.226805i | ||||
\(50\) | 700204. | + | 508728.i | 0.792190 | + | 0.575560i | ||||
\(51\) | −1.79276e6 | −1.89246 | ||||||||
\(52\) | −186029. | + | 572538.i | −0.183471 | + | 0.564667i | ||||
\(53\) | 42896.0 | − | 31165.8i | 0.0395778 | − | 0.0287549i | −0.567821 | − | 0.823152i | \(-0.692213\pi\) |
0.607398 | + | 0.794397i | \(0.292213\pi\) | |||||||
\(54\) | −36982.6 | − | 113821.i | −0.0319609 | − | 0.0983655i | ||||
\(55\) | −271343. | − | 835109.i | −0.219912 | − | 0.676821i | ||||
\(56\) | −326751. | − | 1.00563e6i | −0.248633 | − | 0.765213i | ||||
\(57\) | −315874. | − | 229496.i | −0.225919 | − | 0.164140i | ||||
\(58\) | −5894.22 | − | 18140.5i | −0.00396669 | − | 0.0122082i | ||||
\(59\) | −685538. | + | 498072.i | −0.434560 | + | 0.315726i | −0.783469 | − | 0.621430i | \(-0.786552\pi\) |
0.348910 | + | 0.937156i | \(0.386552\pi\) | |||||||
\(60\) | −645707. | + | 1.98728e6i | −0.385928 | + | 1.18776i | ||||
\(61\) | 95029.6 | + | 292471.i | 0.0536049 | + | 0.164979i | 0.974275 | − | 0.225363i | \(-0.0723568\pi\) |
−0.920670 | + | 0.390342i | \(0.872357\pi\) | |||||||
\(62\) | 1.11838e6 | + | 812551.i | 0.595962 | + | 0.432992i | ||||
\(63\) | 1.11285e6 | − | 808530.i | 0.560717 | − | 0.407384i | ||||
\(64\) | 468760. | − | 1.44269e6i | 0.223522 | − | 0.687930i | ||||
\(65\) | 2.92508e6 | + | 2.12519e6i | 1.32112 | + | 0.959847i | ||||
\(66\) | −760633. | + | 552633.i | −0.325665 | + | 0.236610i | ||||
\(67\) | 497815. | + | 361684.i | 0.202212 | + | 0.146915i | 0.684283 | − | 0.729217i | \(-0.260115\pi\) |
−0.482071 | + | 0.876132i | \(0.660115\pi\) | |||||||
\(68\) | −635291. | + | 1.95523e6i | −0.245014 | + | 0.754077i | ||||
\(69\) | 2.12119e6 | − | 6.52835e6i | 0.777334 | − | 2.39239i | ||||
\(70\) | −2.31882e6 | −0.808025 | ||||||||
\(71\) | 2.92486e6 | − | 735073.i | 0.969841 | − | 0.243740i | ||||
\(72\) | 2.87581e6 | 0.908023 | ||||||||
\(73\) | −214825. | + | 661163.i | −0.0646331 | + | 0.198920i | −0.978158 | − | 0.207862i | \(-0.933349\pi\) |
0.913525 | + | 0.406783i | \(0.133349\pi\) | |||||||
\(74\) | −716458. | + | 2.20503e6i | −0.205532 | + | 0.632563i | ||||
\(75\) | 6.09545e6 | + | 4.42860e6i | 1.66837 | + | 1.21214i | ||||
\(76\) | −362228. | + | 263174.i | −0.0946529 | + | 0.0687694i | ||||
\(77\) | 1.14264e6 | + | 830174.i | 0.285227 | + | 0.207230i | ||||
\(78\) | 1.19631e6 | − | 3.68186e6i | 0.285438 | − | 0.878489i | ||||
\(79\) | −4.86390e6 | + | 3.53383e6i | −1.10992 | + | 0.806401i | −0.982650 | − | 0.185467i | \(-0.940620\pi\) |
−0.127266 | + | 0.991869i | \(0.540620\pi\) | |||||||
\(80\) | −551396. | − | 400612.i | −0.120406 | − | 0.0874801i | ||||
\(81\) | −1.62912e6 | − | 5.01390e6i | −0.340608 | − | 1.04828i | ||||
\(82\) | 1.03350e6 | − | 3.18078e6i | 0.206996 | − | 0.637067i | ||||
\(83\) | −7.27394e6 | + | 5.28483e6i | −1.39636 | + | 1.01451i | −0.401223 | + | 0.915980i | \(0.631415\pi\) |
−0.995134 | + | 0.0985324i | \(0.968585\pi\) | |||||||
\(84\) | −1.03860e6 | − | 3.19649e6i | −0.191193 | − | 0.588431i | ||||
\(85\) | 9.98919e6 | + | 7.25757e6i | 1.76427 | + | 1.28181i | ||||
\(86\) | 1.61011e6 | + | 4.95540e6i | 0.272967 | + | 0.840106i | ||||
\(87\) | −51310.6 | − | 157918.i | −0.00835391 | − | 0.0257107i | ||||
\(88\) | 912464. | + | 2.80828e6i | 0.142734 | + | 0.439289i | ||||
\(89\) | 1.75246e6 | − | 1.27324e6i | 0.263502 | − | 0.191445i | −0.448188 | − | 0.893939i | \(-0.647930\pi\) |
0.711689 | + | 0.702494i | \(0.247930\pi\) | |||||||
\(90\) | 1.94884e6 | − | 5.99792e6i | 0.281792 | − | 0.867265i | ||||
\(91\) | −5.81559e6 | −0.809001 | ||||||||
\(92\) | −6.36828e6 | − | 4.62683e6i | −0.852638 | − | 0.619478i | ||||
\(93\) | 9.73578e6 | + | 7.07346e6i | 1.25511 | + | 0.911888i | ||||
\(94\) | 1.25857e6 | 0.156289 | ||||||||
\(95\) | 830976. | + | 2.55748e6i | 0.0994388 | + | 0.306041i | ||||
\(96\) | 3.54989e6 | − | 1.09254e7i | 0.409510 | − | 1.26034i | ||||
\(97\) | 1.12292e7 | 1.24924 | 0.624621 | − | 0.780928i | \(-0.285254\pi\) | ||||
0.624621 | + | 0.780928i | \(0.285254\pi\) | |||||||
\(98\) | −1.89587e6 | + | 1.37743e6i | −0.203478 | + | 0.147835i | ||||
\(99\) | −3.10767e6 | + | 2.25785e6i | −0.321893 | + | 0.233869i | ||||
\(100\) | 6.98994e6 | − | 5.07849e6i | 0.698994 | − | 0.507849i | ||||
\(101\) | −2.25625e6 | −0.217903 | −0.108951 | − | 0.994047i | \(-0.534749\pi\) | ||||
−0.108951 | + | 0.994047i | \(0.534749\pi\) | |||||||
\(102\) | 4.08541e6 | − | 1.25736e7i | 0.381185 | − | 1.17317i | ||||
\(103\) | 7.07776e6 | 0.638213 | 0.319107 | − | 0.947719i | \(-0.396617\pi\) | ||||
0.319107 | + | 0.947719i | \(0.396617\pi\) | |||||||
\(104\) | −9.83636e6 | − | 7.14653e6i | −0.857468 | − | 0.622987i | ||||
\(105\) | −2.01859e7 | −1.70171 | ||||||||
\(106\) | 120829. | + | 371874.i | 0.00985375 | + | 0.0303267i | ||||
\(107\) | 4.61716e6 | + | 1.42102e7i | 0.364361 | + | 1.12139i | 0.950380 | + | 0.311091i | \(0.100694\pi\) |
−0.586019 | + | 0.810297i | \(0.699306\pi\) | |||||||
\(108\) | −1.19471e6 | −0.0912600 | ||||||||
\(109\) | −1.27916e7 | − | 9.29368e6i | −0.946093 | − | 0.687377i | 0.00378667 | − | 0.999993i | \(-0.498795\pi\) |
−0.949880 | + | 0.312616i | \(0.898795\pi\) | |||||||
\(110\) | 6.47541e6 | 0.463866 | ||||||||
\(111\) | −6.23695e6 | + | 1.91953e7i | −0.432854 | + | 1.33219i | ||||
\(112\) | 1.09628e6 | 0.0737321 | ||||||||
\(113\) | 1.81331e7 | − | 1.31744e7i | 1.18222 | − | 0.858930i | 0.189795 | − | 0.981824i | \(-0.439218\pi\) |
0.992420 | + | 0.122894i | \(0.0392175\pi\) | |||||||
\(114\) | 2.32941e6 | − | 1.69241e6i | 0.147258 | − | 0.106989i | ||||
\(115\) | −3.82476e7 | + | 2.77885e7i | −2.34510 | + | 1.70382i | ||||
\(116\) | −190411. | −0.0113263 | ||||||||
\(117\) | 4.88768e6 | − | 1.50427e7i | 0.282132 | − | 0.868313i | ||||
\(118\) | −1.93102e6 | − | 5.94307e6i | −0.108193 | − | 0.332984i | ||||
\(119\) | −1.98603e7 | −1.08037 | ||||||||
\(120\) | −3.41420e7 | − | 2.48056e7i | −1.80366 | − | 1.31044i | ||||
\(121\) | 1.25746e7 | + | 9.13598e6i | 0.645275 | + | 0.468820i | ||||
\(122\) | −2.26781e6 | −0.113070 | ||||||||
\(123\) | 8.99686e6 | − | 2.76895e7i | 0.435936 | − | 1.34167i | ||||
\(124\) | 1.11645e7 | − | 8.11146e6i | 0.525850 | − | 0.382053i | ||||
\(125\) | −5.36125e6 | − | 1.65002e7i | −0.245517 | − | 0.755622i | ||||
\(126\) | 3.13466e6 | + | 9.64750e6i | 0.139603 | + | 0.429653i | ||||
\(127\) | 8.75722e6 | + | 2.69519e7i | 0.379361 | + | 1.16755i | 0.940489 | + | 0.339825i | \(0.110368\pi\) |
−0.561127 | + | 0.827729i | \(0.689632\pi\) | |||||||
\(128\) | −9.48036e6 | − | 6.88789e6i | −0.399567 | − | 0.290303i | ||||
\(129\) | 1.40164e7 | + | 4.31380e7i | 0.574873 | + | 1.76928i | ||||
\(130\) | −2.15709e7 | + | 1.56722e7i | −0.861126 | + | 0.625644i | ||||
\(131\) | 7.91793e6 | − | 2.43689e7i | 0.307724 | − | 0.947078i | −0.670922 | − | 0.741528i | \(-0.734102\pi\) |
0.978647 | − | 0.205550i | \(-0.0658985\pi\) | |||||||
\(132\) | 2.90034e6 | + | 8.92633e6i | 0.109759 | + | 0.337803i | ||||
\(133\) | −3.49927e6 | − | 2.54237e6i | −0.128973 | − | 0.0937040i | ||||
\(134\) | −3.67112e6 | + | 2.66722e6i | −0.131805 | + | 0.0957619i | ||||
\(135\) | −2.21732e6 | + | 6.82420e6i | −0.0775639 | + | 0.238717i | ||||
\(136\) | −3.35913e7 | − | 2.44055e7i | −1.14509 | − | 0.831959i | ||||
\(137\) | −1.13901e7 | + | 8.27537e6i | −0.378447 | + | 0.274957i | −0.760705 | − | 0.649098i | \(-0.775146\pi\) |
0.382258 | + | 0.924056i | \(0.375146\pi\) | |||||||
\(138\) | 4.09530e7 | + | 2.97541e7i | 1.32650 | + | 0.963762i | ||||
\(139\) | −1.21520e7 | + | 3.73999e7i | −0.383791 | + | 1.18119i | 0.553562 | + | 0.832808i | \(0.313268\pi\) |
−0.937354 | + | 0.348380i | \(0.886732\pi\) | |||||||
\(140\) | −7.15318e6 | + | 2.20152e7i | −0.220318 | + | 0.678070i | ||||
\(141\) | 1.09562e7 | 0.329148 | ||||||||
\(142\) | −1.50981e6 | + | 2.21887e7i | −0.0442498 | + | 0.650313i | ||||
\(143\) | 1.62403e7 | 0.464427 | ||||||||
\(144\) | −921358. | + | 2.83565e6i | −0.0257134 | + | 0.0791378i | ||||
\(145\) | −353392. | + | 1.08763e6i | −0.00962651 | + | 0.0296273i | ||||
\(146\) | −4.14754e6 | − | 3.01337e6i | −0.110295 | − | 0.0801340i | ||||
\(147\) | −1.65040e7 | + | 1.19909e7i | −0.428528 | + | 0.311344i | ||||
\(148\) | 1.87247e7 | + | 1.36043e7i | 0.474787 | + | 0.344953i | ||||
\(149\) | 2.26666e7 | − | 6.97606e7i | 0.561350 | − | 1.72766i | −0.117203 | − | 0.993108i | \(-0.537393\pi\) |
0.678553 | − | 0.734551i | \(-0.262607\pi\) | |||||||
\(150\) | −4.49507e7 | + | 3.26586e7i | −1.08747 | + | 0.790093i | ||||
\(151\) | 5.31994e7 | + | 3.86516e7i | 1.25744 | + | 0.913584i | 0.998629 | − | 0.0523441i | \(-0.0166693\pi\) |
0.258811 | + | 0.965928i | \(0.416669\pi\) | |||||||
\(152\) | −2.79438e6 | − | 8.60021e6i | −0.0645406 | − | 0.198635i | ||||
\(153\) | 1.66915e7 | − | 5.13712e7i | 0.376769 | − | 1.15958i | ||||
\(154\) | −8.42634e6 | + | 6.12210e6i | −0.185916 | + | 0.135076i | ||||
\(155\) | −2.56121e7 | − | 7.88259e7i | −0.552439 | − | 1.70023i | ||||
\(156\) | −3.12656e7 | − | 2.27158e7i | −0.659373 | − | 0.479063i | ||||
\(157\) | 6.14231e6 | + | 1.89041e7i | 0.126673 | + | 0.389858i | 0.994202 | − | 0.107527i | \(-0.0342934\pi\) |
−0.867529 | + | 0.497386i | \(0.834293\pi\) | |||||||
\(158\) | −1.37006e7 | − | 4.21662e7i | −0.276338 | − | 0.850481i | ||||
\(159\) | 1.05185e6 | + | 3.23726e6i | 0.0207522 | + | 0.0638686i | ||||
\(160\) | −6.40087e7 | + | 4.65051e7i | −1.23543 | + | 0.897595i | ||||
\(161\) | 2.34987e7 | − | 7.23214e7i | 0.443764 | − | 1.36577i | ||||
\(162\) | 3.88777e7 | 0.718452 | ||||||||
\(163\) | −7.44388e7 | − | 5.40830e7i | −1.34630 | − | 0.978147i | −0.999187 | − | 0.0403245i | \(-0.987161\pi\) |
−0.347117 | − | 0.937822i | \(-0.612839\pi\) | |||||||
\(164\) | −2.70106e7 | − | 1.96243e7i | −0.478167 | − | 0.347409i | ||||
\(165\) | 5.63701e7 | 0.976911 | ||||||||
\(166\) | −2.04892e7 | − | 6.30593e7i | −0.347654 | − | 1.06997i | ||||
\(167\) | −1.74632e7 | + | 5.37463e7i | −0.290146 | + | 0.892978i | 0.694663 | + | 0.719335i | \(0.255554\pi\) |
−0.984809 | + | 0.173642i | \(0.944446\pi\) | |||||||
\(168\) | 6.78806e7 | 1.10449 | ||||||||
\(169\) | −3.33503e6 | + | 2.42304e6i | −0.0531491 | + | 0.0386151i | ||||
\(170\) | −7.36650e7 | + | 5.35207e7i | −1.14998 | + | 0.835508i | ||||
\(171\) | 9.51709e6 | − | 6.91457e6i | 0.145552 | − | 0.105750i | ||||
\(172\) | 5.20141e7 | 0.779420 | ||||||||
\(173\) | −1.77700e6 | + | 5.46906e6i | −0.0260932 | + | 0.0803065i | −0.963255 | − | 0.268588i | \(-0.913443\pi\) |
0.937162 | + | 0.348895i | \(0.113443\pi\) | |||||||
\(174\) | 1.22449e6 | 0.0176211 | ||||||||
\(175\) | 6.75258e7 | + | 4.90603e7i | 0.952437 | + | 0.691986i | ||||
\(176\) | −3.06139e6 | −0.0423277 | ||||||||
\(177\) | −1.68100e7 | − | 5.17359e7i | −0.227857 | − | 0.701271i | ||||
\(178\) | 4.93633e6 | + | 1.51925e7i | 0.0656045 | + | 0.201910i | ||||
\(179\) | 8.02934e7 | 1.04639 | 0.523196 | − | 0.852212i | \(-0.324740\pi\) | ||||
0.523196 | + | 0.852212i | \(0.324740\pi\) | |||||||
\(180\) | −5.09332e7 | − | 3.70051e7i | −0.650949 | − | 0.472942i | ||||
\(181\) | 9.71778e7 | 1.21813 | 0.609063 | − | 0.793122i | \(-0.291546\pi\) | ||||
0.609063 | + | 0.793122i | \(0.291546\pi\) | |||||||
\(182\) | 1.32528e7 | − | 4.07879e7i | 0.162951 | − | 0.501512i | ||||
\(183\) | −1.97419e7 | −0.238128 | ||||||||
\(184\) | 1.28618e8 | − | 9.34463e7i | 1.52208 | − | 1.10586i | ||||
\(185\) | 1.12460e8 | − | 8.17067e7i | 1.30586 | − | 0.948761i | ||||
\(186\) | −7.17962e7 | + | 5.21630e7i | −0.818100 | + | 0.594384i | ||||
\(187\) | 5.54608e7 | 0.620212 | ||||||||
\(188\) | 3.88247e6 | − | 1.19490e7i | 0.0426143 | − | 0.131153i | ||||
\(189\) | −3.56650e6 | − | 1.09766e7i | −0.0384261 | − | 0.118263i | ||||
\(190\) | −1.98306e7 | −0.209749 | ||||||||
\(191\) | 1.46361e8 | + | 1.06338e8i | 1.51988 | + | 1.10426i | 0.961546 | + | 0.274645i | \(0.0885603\pi\) |
0.558337 | + | 0.829614i | \(0.311440\pi\) | |||||||
\(192\) | 7.87839e7 | + | 5.72398e7i | 0.803310 | + | 0.583639i | ||||
\(193\) | 3.62995e7 | 0.363454 | 0.181727 | − | 0.983349i | \(-0.441831\pi\) | ||||
0.181727 | + | 0.983349i | \(0.441831\pi\) | |||||||
\(194\) | −2.55894e7 | + | 7.87562e7i | −0.251625 | + | 0.774423i | ||||
\(195\) | −1.87780e8 | + | 1.36430e8i | −1.81355 | + | 1.31762i | ||||
\(196\) | 7.22906e6 | + | 2.22488e7i | 0.0685781 | + | 0.211062i | ||||
\(197\) | 4.92473e7 | + | 1.51568e8i | 0.458934 | + | 1.41245i | 0.866453 | + | 0.499258i | \(0.166394\pi\) |
−0.407519 | + | 0.913197i | \(0.633606\pi\) | |||||||
\(198\) | −8.75367e6 | − | 2.69410e7i | −0.0801423 | − | 0.246653i | ||||
\(199\) | −1.49308e7 | − | 1.08479e7i | −0.134307 | − | 0.0975795i | 0.518604 | − | 0.855015i | \(-0.326452\pi\) |
−0.652910 | + | 0.757435i | \(0.726452\pi\) | |||||||
\(200\) | 5.39234e7 | + | 1.65959e8i | 0.476620 | + | 1.46688i | ||||
\(201\) | −3.19580e7 | + | 2.32189e7i | −0.277584 | + | 0.201676i | ||||
\(202\) | 5.14163e6 | − | 1.58243e7i | 0.0438905 | − | 0.135081i | ||||
\(203\) | −568422. | − | 1.74942e6i | −0.00476908 | − | 0.0146777i | ||||
\(204\) | −1.06773e8 | − | 7.75749e7i | −0.880551 | − | 0.639758i | ||||
\(205\) | −1.62224e8 | + | 1.17863e8i | −1.31516 | + | 0.955516i | ||||
\(206\) | −1.61291e7 | + | 4.96402e7i | −0.128551 | + | 0.395638i | ||||
\(207\) | 1.67319e8 | + | 1.21564e8i | 1.31114 | + | 0.952598i | ||||
\(208\) | 1.01981e7 | − | 7.40937e6i | 0.0785776 | − | 0.0570899i | ||||
\(209\) | 9.77186e6 | + | 7.09967e6i | 0.0740398 | + | 0.0537931i | ||||
\(210\) | 4.60005e7 | − | 1.41575e8i | 0.342764 | − | 1.05492i | ||||
\(211\) | −1.94912e7 | + | 5.99877e7i | −0.142840 | + | 0.439616i | −0.996727 | − | 0.0808424i | \(-0.974239\pi\) |
0.853887 | + | 0.520459i | \(0.174239\pi\) | |||||||
\(212\) | 3.90336e6 | 0.0281360 | ||||||||
\(213\) | −1.31432e7 | + | 1.93158e8i | −0.0931909 | + | 1.36957i | ||||
\(214\) | −1.10185e8 | −0.768555 | ||||||||
\(215\) | 9.65352e7 | − | 2.97105e8i | 0.662447 | − | 2.03880i | ||||
\(216\) | 7.45632e6 | − | 2.29482e7i | 0.0503427 | − | 0.154939i | ||||
\(217\) | 1.07854e8 | + | 7.83602e7i | 0.716515 | + | 0.520579i | ||||
\(218\) | 9.43316e7 | − | 6.85359e7i | 0.616680 | − | 0.448044i | ||||
\(219\) | −3.61054e7 | − | 2.62321e7i | −0.232283 | − | 0.168764i | ||||
\(220\) | 1.99755e7 | − | 6.14784e7i | 0.126479 | − | 0.389263i | ||||
\(221\) | −1.84751e8 | + | 1.34230e8i | −1.15137 | + | 0.836518i | ||||
\(222\) | −1.20414e8 | − | 8.74861e7i | −0.738657 | − | 0.536665i | ||||
\(223\) | −6.75699e7 | − | 2.07959e8i | −0.408024 | − | 1.25577i | −0.918343 | − | 0.395784i | \(-0.870473\pi\) |
0.510319 | − | 0.859985i | \(-0.329527\pi\) | |||||||
\(224\) | 3.93258e7 | − | 1.21032e8i | 0.233781 | − | 0.719505i | ||||
\(225\) | −1.83652e8 | + | 1.33431e8i | −1.07487 | + | 0.780941i | ||||
\(226\) | 5.10771e7 | + | 1.57199e8i | 0.294338 | + | 0.905881i | ||||
\(227\) | −1.96038e8 | − | 1.42430e8i | −1.11237 | − | 0.808183i | −0.129333 | − | 0.991601i | \(-0.541284\pi\) |
−0.983035 | + | 0.183418i | \(0.941284\pi\) | |||||||
\(228\) | −8.88216e6 | − | 2.73365e7i | −0.0496302 | − | 0.152746i | ||||
\(229\) | 1.90042e7 | + | 5.84890e7i | 0.104575 | + | 0.321847i | 0.989630 | − | 0.143638i | \(-0.0458800\pi\) |
−0.885056 | + | 0.465485i | \(0.845880\pi\) | |||||||
\(230\) | −1.07736e8 | − | 3.31576e8i | −0.583865 | − | 1.79695i | ||||
\(231\) | −7.33534e7 | + | 5.32944e7i | −0.391542 | + | 0.284472i | ||||
\(232\) | 1.18838e6 | − | 3.65744e6i | 0.00624807 | − | 0.0192296i | ||||
\(233\) | 2.77130e8 | 1.43529 | 0.717643 | − | 0.696411i | \(-0.245221\pi\) | ||||
0.717643 | + | 0.696411i | \(0.245221\pi\) | |||||||
\(234\) | 9.43645e7 | + | 6.85598e7i | 0.481452 | + | 0.349796i | ||||
\(235\) | −6.10471e7 | − | 4.43533e7i | −0.306851 | − | 0.222940i | ||||
\(236\) | −6.23811e7 | −0.308931 | ||||||||
\(237\) | −1.19267e8 | − | 3.67067e8i | −0.581972 | − | 1.79113i | ||||
\(238\) | 4.52585e7 | − | 1.39291e8i | 0.217611 | − | 0.669737i | ||||
\(239\) | −9.21964e7 | −0.436839 | −0.218419 | − | 0.975855i | \(-0.570090\pi\) | ||||
−0.218419 | + | 0.975855i | \(0.570090\pi\) | |||||||
\(240\) | 3.53977e7 | − | 2.57180e7i | 0.165286 | − | 0.120087i | ||||
\(241\) | 1.69174e8 | − | 1.22912e8i | 0.778526 | − | 0.565632i | −0.126010 | − | 0.992029i | \(-0.540217\pi\) |
0.904536 | + | 0.426397i | \(0.140217\pi\) | |||||||
\(242\) | −9.27309e7 | + | 6.73730e7i | −0.420602 | + | 0.305585i | ||||
\(243\) | 3.02948e8 | 1.35440 | ||||||||
\(244\) | −6.99581e6 | + | 2.15309e7i | −0.0308300 | + | 0.0948851i | ||||
\(245\) | 1.40502e8 | 0.610380 | ||||||||
\(246\) | 1.73699e8 | + | 1.26200e8i | 0.743916 | + | 0.540487i | ||||
\(247\) | −4.97351e7 | −0.210002 | ||||||||
\(248\) | 8.61275e7 | + | 2.65073e8i | 0.358559 | + | 1.10353i | ||||
\(249\) | −1.78364e8 | − | 5.48947e8i | −0.732165 | − | 2.25337i | ||||
\(250\) | 1.27942e8 | 0.517874 | ||||||||
\(251\) | −2.87307e8 | − | 2.08741e8i | −1.14680 | − | 0.833200i | −0.158749 | − | 0.987319i | \(-0.550746\pi\) |
−0.988052 | + | 0.154119i | \(0.950746\pi\) | |||||||
\(252\) | 1.01264e8 | 0.398616 | ||||||||
\(253\) | −6.56209e7 | + | 2.01960e8i | −0.254754 | + | 0.784052i | ||||
\(254\) | −2.08985e8 | −0.800196 | ||||||||
\(255\) | −6.41272e8 | + | 4.65911e8i | −2.42187 | + | 1.75959i | ||||
\(256\) | 2.26998e8 | − | 1.64924e8i | 0.845633 | − | 0.614388i | ||||
\(257\) | −1.81905e8 | + | 1.32161e8i | −0.668464 | + | 0.485667i | −0.869511 | − | 0.493914i | \(-0.835566\pi\) |
0.201047 | + | 0.979582i | \(0.435566\pi\) | |||||||
\(258\) | −3.34491e8 | −1.21259 | ||||||||
\(259\) | −6.90933e7 | + | 2.12647e8i | −0.247108 | + | 0.760520i | ||||
\(260\) | 8.22511e7 | + | 2.53143e8i | 0.290225 | + | 0.893221i | ||||
\(261\) | 5.00282e6 | 0.0174170 | ||||||||
\(262\) | 1.52868e8 | + | 1.11065e8i | 0.525125 | + | 0.381526i | ||||
\(263\) | −3.17911e8 | − | 2.30976e8i | −1.07761 | − | 0.782927i | −0.100343 | − | 0.994953i | \(-0.531994\pi\) |
−0.977264 | + | 0.212026i | \(0.931994\pi\) | |||||||
\(264\) | −1.89559e8 | −0.634062 | ||||||||
\(265\) | 7.24441e6 | − | 2.22960e7i | 0.0239135 | − | 0.0735981i | ||||
\(266\) | 2.58053e7 | − | 1.87486e7i | 0.0840665 | − | 0.0610779i | ||||
\(267\) | 4.29720e7 | + | 1.32254e8i | 0.138164 | + | 0.425226i | ||||
\(268\) | 1.39982e7 | + | 4.30820e7i | 0.0444222 | + | 0.136718i | ||||
\(269\) | 1.06826e8 | + | 3.28777e8i | 0.334615 | + | 1.02984i | 0.966912 | + | 0.255112i | \(0.0821123\pi\) |
−0.632297 | + | 0.774726i | \(0.717888\pi\) | |||||||
\(270\) | −4.28089e7 | − | 3.11025e7i | −0.132361 | − | 0.0961661i | ||||
\(271\) | 8.68785e7 | + | 2.67384e8i | 0.265167 | + | 0.816100i | 0.991655 | + | 0.128921i | \(0.0411514\pi\) |
−0.726488 | + | 0.687179i | \(0.758849\pi\) | |||||||
\(272\) | 3.48267e7 | − | 2.53031e7i | 0.104935 | − | 0.0762400i | ||||
\(273\) | 1.15369e8 | − | 3.55069e8i | 0.343178 | − | 1.05619i | ||||
\(274\) | −3.20835e7 | − | 9.87429e7i | −0.0942226 | − | 0.289987i | ||||
\(275\) | −1.88568e8 | − | 1.37003e8i | −0.546770 | − | 0.397252i | ||||
\(276\) | 4.08822e8 | − | 2.97026e8i | 1.17045 | − | 0.850381i | ||||
\(277\) | 8.76276e7 | − | 2.69690e8i | 0.247720 | − | 0.762405i | −0.747457 | − | 0.664311i | \(-0.768725\pi\) |
0.995177 | − | 0.0980945i | \(-0.0312747\pi\) | |||||||
\(278\) | −2.34613e8 | − | 1.70457e8i | −0.654931 | − | 0.475836i | ||||
\(279\) | −2.93333e8 | + | 2.13119e8i | −0.808623 | + | 0.587499i | ||||
\(280\) | −3.78228e8 | − | 2.74798e8i | −1.02967 | − | 0.748102i | ||||
\(281\) | 1.50379e8 | − | 4.62818e8i | 0.404310 | − | 1.24434i | −0.517160 | − | 0.855889i | \(-0.673011\pi\) |
0.921470 | − | 0.388450i | \(-0.126989\pi\) | |||||||
\(282\) | −2.49673e7 | + | 7.68414e7i | −0.0662978 | + | 0.204044i | ||||
\(283\) | 4.94189e8 | 1.29611 | 0.648053 | − | 0.761595i | \(-0.275583\pi\) | ||||
0.648053 | + | 0.761595i | \(0.275583\pi\) | |||||||
\(284\) | 2.06005e8 | + | 8.27826e7i | 0.533658 | + | 0.214449i | ||||
\(285\) | −1.72631e8 | −0.441734 | ||||||||
\(286\) | −3.70089e7 | + | 1.13902e8i | −0.0935460 | + | 0.287905i | ||||
\(287\) | 9.96677e7 | − | 3.06746e8i | 0.248867 | − | 0.765935i | ||||
\(288\) | 2.80014e8 | + | 2.03442e8i | 0.690726 | + | 0.501842i | ||||
\(289\) | −2.98957e8 | + | 2.17205e8i | −0.728562 | + | 0.529331i | ||||
\(290\) | −6.82280e6 | − | 4.95706e6i | −0.0164274 | − | 0.0119352i | ||||
\(291\) | −2.22762e8 | + | 6.85592e8i | −0.529927 | + | 1.63095i | ||||
\(292\) | −4.14037e7 | + | 3.00816e7i | −0.0973194 | + | 0.0707067i | ||||
\(293\) | 4.44759e8 | + | 3.23137e8i | 1.03297 | + | 0.750498i | 0.968901 | − | 0.247447i | \(-0.0795918\pi\) |
0.0640705 | + | 0.997945i | \(0.479592\pi\) | |||||||
\(294\) | −4.64884e7 | − | 1.43077e8i | −0.106691 | − | 0.328362i | ||||
\(295\) | −1.15776e8 | + | 3.56321e8i | −0.262567 | + | 0.808099i | ||||
\(296\) | −3.78176e8 | + | 2.74761e8i | −0.847564 | + | 0.615792i | ||||
\(297\) | 9.95959e6 | + | 3.06525e7i | 0.0220594 | + | 0.0678919i | ||||
\(298\) | 4.37615e8 | + | 3.17946e8i | 0.957933 | + | 0.695979i | ||||
\(299\) | −2.70200e8 | − | 8.31591e8i | −0.584570 | − | 1.79912i | ||||
\(300\) | 1.71400e8 | + | 5.27514e8i | 0.366510 | + | 1.12800i | ||||
\(301\) | 1.55274e8 | + | 4.77885e8i | 0.328184 | + | 1.01005i | ||||
\(302\) | −3.92317e8 | + | 2.85035e8i | −0.819621 | + | 0.595490i | ||||
\(303\) | 4.47591e7 | − | 1.37754e8i | 0.0924342 | − | 0.284483i | ||||
\(304\) | 9.37538e6 | 0.0191395 | ||||||||
\(305\) | 1.10001e8 | + | 7.99202e7i | 0.221997 | + | 0.161290i | ||||
\(306\) | 3.22256e8 | + | 2.34133e8i | 0.642949 | + | 0.467130i | ||||
\(307\) | 4.96312e8 | 0.978973 | 0.489486 | − | 0.872011i | \(-0.337184\pi\) | ||||
0.489486 | + | 0.872011i | \(0.337184\pi\) | |||||||
\(308\) | 3.21301e7 | + | 9.88864e7i | 0.0626592 | + | 0.192845i | ||||
\(309\) | −1.40408e8 | + | 4.32130e8i | −0.270730 | + | 0.833220i | ||||
\(310\) | 6.11214e8 | 1.16527 | ||||||||
\(311\) | 6.02883e8 | − | 4.38020e8i | 1.13651 | − | 0.825720i | 0.149877 | − | 0.988705i | \(-0.452112\pi\) |
0.986629 | + | 0.162985i | \(0.0521122\pi\) | |||||||
\(312\) | 6.31461e8 | − | 4.58783e8i | 1.17708 | − | 0.855197i | ||||
\(313\) | 1.07083e8 | − | 7.78001e7i | 0.197385 | − | 0.143408i | −0.484703 | − | 0.874679i | \(-0.661072\pi\) |
0.682088 | + | 0.731270i | \(0.261072\pi\) | |||||||
\(314\) | −1.46582e8 | −0.267194 | ||||||||
\(315\) | 1.87941e8 | − | 5.78423e8i | 0.338793 | − | 1.04270i | ||||
\(316\) | −4.42595e8 | −0.789045 | ||||||||
\(317\) | −2.09932e8 | − | 1.52525e8i | −0.370145 | − | 0.268926i | 0.387126 | − | 0.922027i | \(-0.373468\pi\) |
−0.757271 | + | 0.653101i | \(0.773468\pi\) | |||||||
\(318\) | −2.51016e7 | −0.0437731 | ||||||||
\(319\) | 1.58734e6 | + | 4.88533e6i | 0.00273781 | + | 0.00842611i | ||||
\(320\) | −2.07258e8 | − | 6.37875e8i | −0.353579 | − | 1.08821i | ||||
\(321\) | −9.59190e8 | −1.61859 | ||||||||
\(322\) | 4.53679e8 | + | 3.29617e8i | 0.757275 | + | 0.550192i | ||||
\(323\) | −1.69846e8 | −0.280444 | ||||||||
\(324\) | 1.19931e8 | − | 3.69110e8i | 0.195895 | − | 0.602903i | ||||
\(325\) | 9.59742e8 | 1.55083 | ||||||||
\(326\) | 5.48947e8 | − | 3.98833e8i | 0.877543 | − | 0.637573i | ||||
\(327\) | 8.21180e8 | − | 5.96622e8i | 1.29874 | − | 0.943588i | ||||
\(328\) | 5.45522e8 | − | 3.96345e8i | 0.853599 | − | 0.620176i | ||||
\(329\) | 1.21373e8 | 0.187904 | ||||||||
\(330\) | −1.28458e8 | + | 3.95354e8i | −0.196772 | + | 0.605601i | ||||
\(331\) | 2.28938e8 | + | 7.04597e8i | 0.346992 | + | 1.06793i | 0.960509 | + | 0.278249i | \(0.0897542\pi\) |
−0.613517 | + | 0.789681i | \(0.710246\pi\) | |||||||
\(332\) | −6.61899e8 | −0.992678 | ||||||||
\(333\) | −4.91969e8 | − | 3.57436e8i | −0.730100 | − | 0.530449i | ||||
\(334\) | −3.37155e8 | − | 2.44958e8i | −0.495128 | − | 0.359732i | ||||
\(335\) | 2.72064e8 | 0.395380 | ||||||||
\(336\) | −2.17477e7 | + | 6.69327e7i | −0.0312771 | + | 0.0962611i | ||||
\(337\) | 8.09578e7 | − | 5.88193e7i | 0.115227 | − | 0.0837173i | −0.528679 | − | 0.848822i | \(-0.677313\pi\) |
0.643906 | + | 0.765104i | \(0.277313\pi\) | |||||||
\(338\) | −9.39409e6 | − | 2.89120e7i | −0.0132326 | − | 0.0407259i | ||||
\(339\) | 4.44639e8 | + | 1.36846e9i | 0.619882 | + | 1.90780i | ||||
\(340\) | 2.80889e8 | + | 8.64487e8i | 0.387577 | + | 1.19284i | ||||
\(341\) | −3.01185e8 | − | 2.18824e8i | −0.411333 | − | 0.298851i | ||||
\(342\) | 2.68077e7 | + | 8.25057e7i | 0.0362383 | + | 0.111530i | ||||
\(343\) | −6.56659e8 | + | 4.77091e8i | −0.878639 | + | 0.638369i | ||||
\(344\) | −3.24625e8 | + | 9.99094e8i | −0.429960 | + | 1.32328i | ||||
\(345\) | −9.37866e8 | − | 2.88646e9i | −1.22963 | − | 3.78441i | ||||
\(346\) | −3.43079e7 | − | 2.49262e7i | −0.0445275 | − | 0.0323511i | ||||
\(347\) | 4.69018e7 | − | 3.40762e7i | 0.0602610 | − | 0.0437822i | −0.557247 | − | 0.830347i | \(-0.688142\pi\) |
0.617508 | + | 0.786565i | \(0.288142\pi\) | |||||||
\(348\) | 3.77735e6 | − | 1.16255e7i | 0.00480462 | − | 0.0147871i | ||||
\(349\) | −1.08860e9 | − | 7.90916e8i | −1.37082 | − | 0.995959i | −0.997673 | − | 0.0681868i | \(-0.978279\pi\) |
−0.373147 | − | 0.927772i | \(-0.621721\pi\) | |||||||
\(350\) | −4.97967e8 | + | 3.61794e8i | −0.620815 | + | 0.451048i | ||||
\(351\) | −1.07364e8 | − | 7.80048e7i | −0.132521 | − | 0.0962823i | ||||
\(352\) | −1.09819e8 | + | 3.37988e8i | −0.134208 | + | 0.413049i | ||||
\(353\) | −1.29588e8 | + | 3.98829e8i | −0.156802 | + | 0.482587i | −0.998339 | − | 0.0576124i | \(-0.981651\pi\) |
0.841537 | + | 0.540200i | \(0.181651\pi\) | |||||||
\(354\) | 4.01159e8 | 0.480624 | ||||||||
\(355\) | 8.55188e8 | − | 1.02306e9i | 1.01452 | − | 1.21367i | ||||
\(356\) | 1.59467e8 | 0.187325 | ||||||||
\(357\) | 3.93986e8 | − | 1.21256e9i | 0.458292 | − | 1.41048i | ||||
\(358\) | −1.82976e8 | + | 5.63141e8i | −0.210767 | + | 0.648674i | ||||
\(359\) | 1.28045e6 | + | 930302.i | 0.00146060 | + | 0.00106119i | 0.588515 | − | 0.808486i | \(-0.299713\pi\) |
−0.587055 | + | 0.809547i | \(0.699713\pi\) | |||||||
\(360\) | 1.02868e9 | − | 7.47379e8i | 1.16204 | − | 0.844271i | ||||
\(361\) | 6.93232e8 | + | 5.03662e8i | 0.775538 | + | 0.563461i | ||||
\(362\) | −2.21452e8 | + | 6.81560e8i | −0.245358 | + | 0.755134i | ||||
\(363\) | −8.07246e8 | + | 5.86499e8i | −0.885794 | + | 0.643567i | ||||
\(364\) | −3.46363e8 | − | 2.51647e8i | −0.376423 | − | 0.273487i | ||||
\(365\) | 9.49831e7 | + | 2.92328e8i | 0.102240 | + | 0.314663i | ||||
\(366\) | 4.49885e7 | − | 1.38460e8i | 0.0479643 | − | 0.147619i | ||||
\(367\) | 6.87999e8 | − | 4.99861e8i | 0.726535 | − | 0.527859i | −0.161930 | − | 0.986802i | \(-0.551772\pi\) |
0.888466 | + | 0.458943i | \(0.151772\pi\) | |||||||
\(368\) | 5.09344e7 | + | 1.56760e8i | 0.0532776 | + | 0.163971i | ||||
\(369\) | 7.09669e8 | + | 5.15605e8i | 0.735299 | + | 0.534226i | ||||
\(370\) | 3.16776e8 | + | 9.74936e8i | 0.325122 | + | 1.00062i | ||||
\(371\) | 1.16524e7 | + | 3.58625e7i | 0.0118470 | + | 0.0364613i | ||||
\(372\) | 2.73763e8 | + | 8.42556e8i | 0.275724 | + | 0.848591i | ||||
\(373\) | −1.69328e8 | + | 1.23024e8i | −0.168946 | + | 0.122747i | −0.669045 | − | 0.743221i | \(-0.733297\pi\) |
0.500099 | + | 0.865968i | \(0.333297\pi\) | |||||||
\(374\) | −1.26386e8 | + | 3.88976e8i | −0.124925 | + | 0.384479i | ||||
\(375\) | 1.11377e9 | 1.09065 | ||||||||
\(376\) | 2.05287e8 | + | 1.49150e8i | 0.199161 | + | 0.144699i | ||||
\(377\) | −1.71115e7 | − | 1.24323e7i | −0.0164473 | − | 0.0119497i | ||||
\(378\) | 8.51119e7 | 0.0810530 | ||||||||
\(379\) | 3.07601e8 | + | 9.46699e8i | 0.290236 | + | 0.893254i | 0.984780 | + | 0.173804i | \(0.0556059\pi\) |
−0.694545 | + | 0.719450i | \(0.744394\pi\) | |||||||
\(380\) | −6.11742e7 | + | 1.88275e8i | −0.0571907 | + | 0.176015i | ||||
\(381\) | −1.81926e9 | −1.68523 | ||||||||
\(382\) | −1.07934e9 | + | 7.84185e8i | −0.990685 | + | 0.719775i | ||||
\(383\) | 2.92121e8 | − | 2.12238e8i | 0.265685 | − | 0.193031i | −0.446965 | − | 0.894552i | \(-0.647495\pi\) |
0.712649 | + | 0.701520i | \(0.247495\pi\) | |||||||
\(384\) | 6.08607e8 | − | 4.42179e8i | 0.548501 | − | 0.398509i | ||||
\(385\) | 6.24471e8 | 0.557699 | ||||||||
\(386\) | −8.27206e7 | + | 2.54588e8i | −0.0732079 | + | 0.225311i | ||||
\(387\) | −1.36661e9 | −1.19855 | ||||||||
\(388\) | 6.68782e8 | + | 4.85898e8i | 0.581264 | + | 0.422313i | ||||
\(389\) | −1.89205e9 | −1.62970 | −0.814852 | − | 0.579668i | \(-0.803182\pi\) | ||||
−0.814852 | + | 0.579668i | \(0.803182\pi\) | |||||||
\(390\) | −5.28938e8 | − | 1.62790e9i | −0.451522 | − | 1.38964i | ||||
\(391\) | −9.22738e8 | − | 2.83990e9i | −0.780656 | − | 2.40261i | ||||
\(392\) | −4.72474e8 | −0.396166 | ||||||||
\(393\) | 1.33076e9 | + | 9.66851e8i | 1.10592 | + | 0.803500i | ||||
\(394\) | −1.17525e9 | −0.968042 | ||||||||
\(395\) | −8.21431e8 | + | 2.52811e9i | −0.670628 | + | 2.06398i | ||||
\(396\) | −2.82785e8 | −0.228835 | ||||||||
\(397\) | 9.21846e8 | − | 6.69760e8i | 0.739421 | − | 0.537221i | −0.153109 | − | 0.988209i | \(-0.548929\pi\) |
0.892530 | + | 0.450989i | \(0.148929\pi\) | |||||||
\(398\) | 1.10107e8 | − | 7.99972e7i | 0.0875433 | − | 0.0636040i | ||||
\(399\) | 2.24641e8 | − | 1.63212e8i | 0.177045 | − | 0.128631i | ||||
\(400\) | −1.80917e8 | −0.141342 | ||||||||
\(401\) | 3.32387e8 | − | 1.02298e9i | 0.257418 | − | 0.792251i | −0.735926 | − | 0.677062i | \(-0.763253\pi\) |
0.993344 | − | 0.115188i | \(-0.0367472\pi\) | |||||||
\(402\) | −9.00192e7 | − | 2.77051e8i | −0.0691105 | − | 0.212700i | ||||
\(403\) | 1.53292e9 | 1.16668 | ||||||||
\(404\) | −1.34377e8 | − | 9.76305e7i | −0.101389 | − | 0.0736632i | ||||
\(405\) | −1.88577e9 | − | 1.37009e9i | −1.41058 | − | 1.02484i | ||||
\(406\) | 1.35650e7 | 0.0100595 | ||||||||
\(407\) | 1.92946e8 | − | 5.93826e8i | 0.141858 | − | 0.436595i | ||||
\(408\) | 2.15645e9 | − | 1.56675e9i | 1.57191 | − | 1.14206i | ||||
\(409\) | 1.44565e8 | + | 4.44926e8i | 0.104480 | + | 0.321556i | 0.989608 | − | 0.143791i | \(-0.0459294\pi\) |
−0.885128 | + | 0.465347i | \(0.845929\pi\) | |||||||
\(410\) | −4.56953e8 | − | 1.40636e9i | −0.327437 | − | 1.00775i | ||||
\(411\) | −2.79295e8 | − | 8.59582e8i | −0.198434 | − | 0.610718i | ||||
\(412\) | 4.21534e8 | + | 3.06263e8i | 0.296957 | + | 0.215752i | ||||
\(413\) | −1.86222e8 | − | 5.73133e8i | −0.130079 | − | 0.400341i | ||||
\(414\) | −1.23389e9 | + | 8.96471e8i | −0.854622 | + | 0.620919i | ||||
\(415\) | −1.22845e9 | + | 3.78077e9i | −0.843699 | + | 2.59664i | ||||
\(416\) | −4.52190e8 | − | 1.39170e9i | −0.307960 | − | 0.947803i | ||||
\(417\) | −2.04237e9 | − | 1.48387e9i | −1.37930 | − | 1.00212i | ||||
\(418\) | −7.20623e7 | + | 5.23563e7i | −0.0482604 | + | 0.0350632i | ||||
\(419\) | −2.05743e8 | + | 6.33212e8i | −0.136639 | + | 0.420533i | −0.995841 | − | 0.0911037i | \(-0.970961\pi\) |
0.859202 | + | 0.511636i | \(0.170961\pi\) | |||||||
\(420\) | −1.20223e9 | − | 8.73468e8i | −0.791797 | − | 0.575274i | ||||
\(421\) | −1.10057e9 | + | 7.99611e8i | −0.718837 | + | 0.522265i | −0.886012 | − | 0.463662i | \(-0.846535\pi\) |
0.167176 | + | 0.985927i | \(0.446535\pi\) | |||||||
\(422\) | −3.76309e8 | − | 2.73404e8i | −0.243753 | − | 0.177097i | ||||
\(423\) | −1.02007e8 | + | 3.13946e8i | −0.0655299 | + | 0.201680i | ||||
\(424\) | −2.43613e7 | + | 7.49763e7i | −0.0155210 | + | 0.0477687i | ||||
\(425\) | 3.27753e9 | 2.07103 | ||||||||
\(426\) | −1.32477e9 | − | 5.32356e8i | −0.830247 | − | 0.333633i | ||||
\(427\) | −2.18702e8 | −0.135942 | ||||||||
\(428\) | −3.39903e8 | + | 1.04611e9i | −0.209557 | + | 0.644949i | ||||
\(429\) | −3.22172e8 | + | 9.91543e8i | −0.197010 | + | 0.606333i | ||||
\(430\) | 1.86377e9 | + | 1.35411e9i | 1.13045 | + | 0.821321i | ||||
\(431\) | −7.74148e7 | + | 5.62451e7i | −0.0465751 | + | 0.0338388i | −0.610829 | − | 0.791762i | \(-0.709164\pi\) |
0.564254 | + | 0.825601i | \(0.309164\pi\) | |||||||
\(432\) | 2.02389e7 | + | 1.47044e7i | 0.0120779 | + | 0.00877514i | ||||
\(433\) | −2.04387e8 | + | 6.29038e8i | −0.120989 | + | 0.372365i | −0.993149 | − | 0.116855i | \(-0.962719\pi\) |
0.872160 | + | 0.489220i | \(0.162719\pi\) | |||||||
\(434\) | −7.95362e8 | + | 5.77865e8i | −0.467037 | + | 0.339322i | ||||
\(435\) | −5.93942e7 | − | 4.31524e7i | −0.0345965 | − | 0.0251358i | ||||
\(436\) | −3.59692e8 | − | 1.10702e9i | −0.207839 | − | 0.639664i | ||||
\(437\) | 2.00961e8 | − | 6.18495e8i | 0.115193 | − | 0.354528i | ||||
\(438\) | 2.66258e8 | − | 1.93448e8i | 0.151406 | − | 0.110003i | ||||
\(439\) | −6.29548e8 | − | 1.93755e9i | −0.355143 | − | 1.09302i | −0.955927 | − | 0.293606i | \(-0.905145\pi\) |
0.600784 | − | 0.799412i | \(-0.294855\pi\) | |||||||
\(440\) | 1.05622e9 | + | 7.67386e8i | 0.591110 | + | 0.429466i | ||||
\(441\) | −1.89935e8 | − | 5.84559e8i | −0.105456 | − | 0.324559i | ||||
\(442\) | −5.20406e8 | − | 1.60165e9i | −0.286658 | − | 0.882244i | ||||
\(443\) | −1.85682e8 | − | 5.71470e8i | −0.101474 | − | 0.312306i | 0.887412 | − | 0.460976i | \(-0.152501\pi\) |
−0.988887 | + | 0.148670i | \(0.952501\pi\) | |||||||
\(444\) | −1.20206e9 | + | 8.73349e8i | −0.651758 | + | 0.473530i | ||||
\(445\) | 2.95961e8 | − | 9.10875e8i | 0.159212 | − | 0.490003i | ||||
\(446\) | 1.61251e9 | 0.860655 | ||||||||
\(447\) | 3.80955e9 | + | 2.76780e9i | 2.01742 | + | 1.46574i | ||||
\(448\) | 8.72772e8 | + | 6.34106e8i | 0.458594 | + | 0.333188i | ||||
\(449\) | −1.99831e9 | −1.04184 | −0.520919 | − | 0.853606i | \(-0.674411\pi\) | ||||
−0.520919 | + | 0.853606i | \(0.674411\pi\) | |||||||
\(450\) | −5.17311e8 | − | 1.59212e9i | −0.267613 | − | 0.823629i | ||||
\(451\) | −2.78326e8 | + | 8.56599e8i | −0.142868 | + | 0.439703i | ||||
\(452\) | 1.65003e9 | 0.840443 | ||||||||
\(453\) | −3.41522e9 | + | 2.48130e9i | −1.72614 | + | 1.25411i | ||||
\(454\) | 1.44567e9 | − | 1.05034e9i | 0.725061 | − | 0.526787i | ||||
\(455\) | −2.08024e9 | + | 1.51138e9i | −1.03532 | + | 0.752202i | ||||
\(456\) | 5.80517e8 | 0.286707 | ||||||||
\(457\) | −3.20228e8 | + | 9.85561e8i | −0.156947 | + | 0.483033i | −0.998353 | − | 0.0573704i | \(-0.981728\pi\) |
0.841406 | + | 0.540403i | \(0.181728\pi\) | |||||||
\(458\) | −4.53522e8 | −0.220582 | ||||||||
\(459\) | −3.66651e8 | − | 2.66388e8i | −0.176974 | − | 0.128579i | ||||
\(460\) | −3.48037e9 | −1.66715 | ||||||||
\(461\) | 7.38296e8 | + | 2.27224e9i | 0.350976 | + | 1.08019i | 0.958306 | + | 0.285743i | \(0.0922405\pi\) |
−0.607330 | + | 0.794450i | \(0.707759\pi\) | |||||||
\(462\) | −2.06622e8 | − | 6.35916e8i | −0.0974830 | − | 0.300022i | ||||
\(463\) | −6.47817e8 | −0.303332 | −0.151666 | − | 0.988432i | \(-0.548464\pi\) | ||||
−0.151666 | + | 0.988432i | \(0.548464\pi\) | |||||||
\(464\) | 3.22563e6 | + | 2.34356e6i | 0.00149900 | + | 0.00108909i | ||||
\(465\) | 5.32077e9 | 2.45408 | ||||||||
\(466\) | −6.31535e8 | + | 1.94366e9i | −0.289099 | + | 0.889755i | ||||
\(467\) | 3.40938e9 | 1.54905 | 0.774527 | − | 0.632541i | \(-0.217988\pi\) | ||||
0.774527 | + | 0.632541i | \(0.217988\pi\) | |||||||
\(468\) | 9.42014e8 | − | 6.84413e8i | 0.424812 | − | 0.308644i | ||||
\(469\) | −3.54033e8 | + | 2.57220e8i | −0.158467 | + | 0.115133i | ||||
\(470\) | 4.50190e8 | − | 3.27082e8i | 0.200011 | − | 0.145316i | ||||
\(471\) | −1.27603e9 | −0.562715 | ||||||||
\(472\) | 3.89327e8 | − | 1.19822e9i | 0.170419 | − | 0.524495i | ||||
\(473\) | −4.33610e8 | − | 1.33451e9i | −0.188402 | − | 0.579841i | ||||
\(474\) | 2.84623e9 | 1.22757 | ||||||||
\(475\) | 5.77482e8 | + | 4.19565e8i | 0.247236 | + | 0.179627i | ||||
\(476\) | −1.18283e9 | − | 8.59379e8i | −0.502689 | − | 0.365225i | ||||
\(477\) | −1.02556e8 | −0.0432660 | ||||||||
\(478\) | 2.10100e8 | − | 6.46623e8i | 0.0879892 | − | 0.270803i | ||||
\(479\) | −3.83373e9 | + | 2.78537e9i | −1.59385 | + | 1.15800i | −0.695681 | + | 0.718350i | \(0.744897\pi\) |
−0.898169 | + | 0.439650i | \(0.855103\pi\) | |||||||
\(480\) | −1.56955e9 | − | 4.83059e9i | −0.647786 | − | 1.99368i | ||||
\(481\) | 7.94472e8 | + | 2.44513e9i | 0.325515 | + | 1.00183i | ||||
\(482\) | 4.76528e8 | + | 1.46660e9i | 0.193831 | + | 0.596551i | ||||
\(483\) | 3.94939e9 | + | 2.86940e9i | 1.59483 | + | 1.15871i | ||||
\(484\) | 3.53588e8 | + | 1.08823e9i | 0.141755 | + | 0.436278i | ||||
\(485\) | 4.01667e9 | − | 2.91829e9i | 1.59871 | − | 1.16153i | ||||
\(486\) | −6.90368e8 | + | 2.12474e9i | −0.272806 | + | 0.839610i | ||||
\(487\) | −5.67192e8 | − | 1.74564e9i | −0.222525 | − | 0.684861i | −0.998533 | − | 0.0541386i | \(-0.982759\pi\) |
0.776009 | − | 0.630722i | \(-0.217241\pi\) | |||||||
\(488\) | −3.69907e8 | − | 2.68753e8i | −0.144086 | − | 0.104685i | ||||
\(489\) | 4.77872e9 | − | 3.47194e9i | 1.84812 | − | 1.34274i | ||||
\(490\) | −3.20180e8 | + | 9.85414e8i | −0.122944 | + | 0.378384i | ||||
\(491\) | 1.17826e9 | + | 8.56053e8i | 0.449215 | + | 0.326374i | 0.789286 | − | 0.614026i | \(-0.210451\pi\) |
−0.340071 | + | 0.940400i | \(0.610451\pi\) | |||||||
\(492\) | 1.73399e9 | − | 1.25981e9i | 0.656398 | − | 0.476901i | ||||
\(493\) | −5.84362e7 | − | 4.24564e7i | −0.0219643 | − | 0.0159580i | ||||
\(494\) | 1.13338e8 | − | 3.48819e8i | 0.0422992 | − | 0.130183i | ||||
\(495\) | −5.24833e8 | + | 1.61527e9i | −0.194492 | + | 0.598586i | ||||
\(496\) | −2.88965e8 | −0.106331 | ||||||||
\(497\) | −1.45601e8 | + | 2.13982e9i | −0.0532008 | + | 0.781861i | ||||
\(498\) | 4.25652e9 | 1.54437 | ||||||||
\(499\) | 1.20095e9 | − | 3.69613e9i | 0.432685 | − | 1.33167i | −0.462755 | − | 0.886486i | \(-0.653139\pi\) |
0.895440 | − | 0.445182i | \(-0.146861\pi\) | |||||||
\(500\) | 3.94680e8 | − | 1.21470e9i | 0.141205 | − | 0.434584i | ||||
\(501\) | −2.93502e9 | − | 2.13242e9i | −1.04275 | − | 0.757601i | ||||
\(502\) | 2.11874e9 | − | 1.53935e9i | 0.747505 | − | 0.543094i | ||||
\(503\) | −1.49609e9 | − | 1.08698e9i | −0.524168 | − | 0.380831i | 0.294004 | − | 0.955804i | \(-0.405012\pi\) |
−0.818172 | + | 0.574974i | \(0.805012\pi\) | |||||||
\(504\) | −6.32002e8 | + | 1.94510e9i | −0.219893 | + | 0.676761i | ||||
\(505\) | −8.07061e8 | + | 5.86364e8i | −0.278860 | + | 0.202604i | ||||
\(506\) | −1.26692e9 | − | 9.20470e8i | −0.434732 | − | 0.315851i | ||||
\(507\) | −8.17779e7 | − | 2.51687e8i | −0.0278682 | − | 0.0857694i | ||||
\(508\) | −6.44682e8 | + | 1.98413e9i | −0.218184 | + | 0.671501i | ||||
\(509\) | −3.30475e9 | + | 2.40104e9i | −1.11077 | + | 0.807025i | −0.982785 | − | 0.184751i | \(-0.940852\pi\) |
−0.127989 | + | 0.991776i | \(0.540852\pi\) | |||||||
\(510\) | −1.80633e9 | − | 5.55932e9i | −0.602979 | − | 1.85578i | ||||
\(511\) | −3.99978e8 | − | 2.90601e8i | −0.132606 | − | 0.0963438i | ||||
\(512\) | 1.75896e8 | + | 5.41353e8i | 0.0579178 | + | 0.178253i | ||||
\(513\) | −3.05008e7 | − | 9.38718e7i | −0.00997471 | − | 0.0306990i | ||||
\(514\) | −5.12388e8 | − | 1.57697e9i | −0.166429 | − | 0.512215i | ||||
\(515\) | 2.53172e9 | − | 1.83940e9i | 0.816752 | − | 0.593405i | ||||
\(516\) | −1.03185e9 | + | 3.17570e9i | −0.330629 | + | 1.01757i | ||||
\(517\) | −3.38939e8 | −0.107871 | ||||||||
\(518\) | −1.33396e9 | − | 9.69176e8i | −0.421684 | − | 0.306372i | ||||
\(519\) | −2.98659e8 | − | 2.16988e8i | −0.0937756 | − | 0.0681320i | ||||
\(520\) | −5.37574e9 | −1.67659 | ||||||||
\(521\) | −6.55833e8 | − | 2.01845e9i | −0.203171 | − | 0.625295i | −0.999784 | − | 0.0208053i | \(-0.993377\pi\) |
0.796613 | − | 0.604490i | \(-0.206623\pi\) | |||||||
\(522\) | −1.14006e7 | + | 3.50875e7i | −0.00350818 | + | 0.0107971i | ||||
\(523\) | 1.10142e9 | 0.336664 | 0.168332 | − | 0.985730i | \(-0.446162\pi\) | ||||
0.168332 | + | 0.985730i | \(0.446162\pi\) | |||||||
\(524\) | 1.52604e9 | − | 1.10873e9i | 0.463347 | − | 0.336641i | ||||
\(525\) | −4.33492e9 | + | 3.14951e9i | −1.30745 | + | 0.949915i | ||||
\(526\) | 2.34442e9 | − | 1.70332e9i | 0.702403 | − | 0.510325i | ||||
\(527\) | 5.23495e9 | 1.55803 | ||||||||
\(528\) | 6.07314e7 | − | 1.86912e8i | 0.0179554 | − | 0.0552610i | ||||
\(529\) | 8.02843e9 | 2.35796 | ||||||||
\(530\) | 1.39865e8 | + | 1.01618e8i | 0.0408078 | + | 0.0296486i | ||||
\(531\) | 1.63899e9 | 0.475056 | ||||||||
\(532\) | −9.83970e7 | − | 3.02835e8i | −0.0283329 | − | 0.0871997i | ||||
\(533\) | −1.14603e9 | − | 3.52713e9i | −0.327832 | − | 1.00896i | ||||
\(534\) | −1.02549e9 | −0.291433 | ||||||||
\(535\) | 5.34456e9 | + | 3.88305e9i | 1.50895 | + | 1.09631i | ||||
\(536\) | −9.14889e8 | −0.256621 | ||||||||
\(537\) | −1.59285e9 | + | 4.90228e9i | −0.443879 | + | 1.36612i | ||||
\(538\) | −2.54933e9 | −0.705811 | ||||||||
\(539\) | 5.10567e8 | − | 3.70949e8i | 0.140440 | − | 0.102036i | ||||
\(540\) | −4.27349e8 | + | 3.10487e8i | −0.116790 | + | 0.0848527i | ||||
\(541\) | 4.88463e8 | − | 3.54889e8i | 0.132630 | − | 0.0963612i | −0.519492 | − | 0.854475i | \(-0.673879\pi\) |
0.652122 | + | 0.758114i | \(0.273879\pi\) | |||||||
\(542\) | −2.07329e9 | −0.559323 | ||||||||
\(543\) | −1.92780e9 | + | 5.93315e9i | −0.516728 | + | 1.59033i | ||||
\(544\) | −1.54424e9 | − | 4.75267e9i | −0.411261 | − | 1.26573i | ||||
\(545\) | −6.99086e9 | −1.84988 | ||||||||
\(546\) | 2.22738e9 | + | 1.61829e9i | 0.585626 | + | 0.425482i | ||||
\(547\) | −1.15889e9 | − | 8.41982e8i | −0.302752 | − | 0.219962i | 0.426029 | − | 0.904710i | \(-0.359912\pi\) |
−0.728780 | + | 0.684748i | \(0.759912\pi\) | |||||||
\(548\) | −1.03645e9 | −0.269040 | ||||||||
\(549\) | 1.83807e8 | − | 5.65698e8i | 0.0474087 | − | 0.145909i | ||||
\(550\) | 1.39059e9 | − | 1.01032e9i | 0.356394 | − | 0.258935i | ||||
\(551\) | −4.86116e6 | − | 1.49611e7i | −0.00123797 | − | 0.00381007i | ||||
\(552\) | 3.15383e9 | + | 9.70648e9i | 0.798088 | + | 2.45626i | ||||
\(553\) | −1.32125e9 | − | 4.06639e9i | −0.332236 | − | 1.02252i | ||||
\(554\) | 1.69179e9 | + | 1.22916e9i | 0.422730 | + | 0.307131i | ||||
\(555\) | 2.75761e9 | + | 8.48707e9i | 0.684712 | + | 2.10733i | ||||
\(556\) | −2.34208e9 | + | 1.70162e9i | −0.577882 | + | 0.419856i | ||||
\(557\) | 1.66321e9 | − | 5.11883e9i | 0.407806 | − | 1.25510i | −0.510723 | − | 0.859745i | \(-0.670622\pi\) |
0.918529 | − | 0.395353i | \(-0.129378\pi\) | |||||||
\(558\) | −8.26259e8 | − | 2.54296e9i | −0.201324 | − | 0.619613i | ||||
\(559\) | 4.67431e9 | + | 3.39609e9i | 1.13182 | + | 0.822313i | ||||
\(560\) | 3.92138e8 | − | 2.84905e8i | 0.0943585 | − | 0.0685554i | ||||
\(561\) | −1.10022e9 | + | 3.38614e9i | −0.263094 | + | 0.809719i | ||||
\(562\) | 2.90330e9 | + | 2.10937e9i | 0.689947 | + | 0.501276i | ||||
\(563\) | 2.02657e9 | − | 1.47239e9i | 0.478611 | − | 0.347731i | −0.322177 | − | 0.946680i | \(-0.604415\pi\) |
0.800788 | + | 0.598948i | \(0.204415\pi\) | |||||||
\(564\) | 6.52522e8 | + | 4.74085e8i | 0.153150 | + | 0.111270i | ||||
\(565\) | 3.06237e9 | − | 9.42500e9i | 0.714312 | − | 2.19843i | ||||
\(566\) | −1.12618e9 | + | 3.46601e9i | −0.261065 | + | 0.803476i | ||||
\(567\) | 3.74926e9 | 0.863783 | ||||||||
\(568\) | −2.87580e9 | + | 3.44031e9i | −0.658475 | + | 0.787733i | ||||
\(569\) | 8.74301e9 | 1.98961 | 0.994805 | − | 0.101802i | \(-0.0324608\pi\) | ||||
0.994805 | + | 0.101802i | \(0.0324608\pi\) | |||||||
\(570\) | 3.93397e8 | − | 1.21075e9i | 0.0889753 | − | 0.273838i | ||||
\(571\) | 2.20941e9 | − | 6.79988e9i | 0.496650 | − | 1.52853i | −0.317719 | − | 0.948185i | \(-0.602917\pi\) |
0.814369 | − | 0.580347i | \(-0.197083\pi\) | |||||||
\(572\) | 9.67232e8 | + | 7.02735e8i | 0.216095 | + | 0.157002i | ||||
\(573\) | −9.39591e9 | + | 6.82653e9i | −2.08640 | + | 1.51586i | ||||
\(574\) | 1.92425e9 | + | 1.39805e9i | 0.424687 | + | 0.308553i | ||||
\(575\) | −3.87796e9 | + | 1.19351e10i | −0.850680 | + | 2.61812i | ||||
\(576\) | −2.37371e9 | + | 1.72460e9i | −0.517546 | + | 0.376019i | ||||
\(577\) | −6.61540e8 | − | 4.80637e8i | −0.143364 | − | 0.104160i | 0.513791 | − | 0.857915i | \(-0.328241\pi\) |
−0.657156 | + | 0.753755i | \(0.728241\pi\) | |||||||
\(578\) | −8.42101e8 | − | 2.59172e9i | −0.181391 | − | 0.558265i | ||||
\(579\) | −7.20104e8 | + | 2.21625e9i | −0.154177 | + | 0.474508i | ||||
\(580\) | −6.81101e7 | + | 4.94849e7i | −0.0144948 | + | 0.0105311i | ||||
\(581\) | −1.97592e9 | − | 6.08127e9i | −0.417978 | − | 1.28640i | ||||
\(582\) | −4.30079e9 | − | 3.12470e9i | −0.904310 | − | 0.657020i | ||||
\(583\) | −3.25399e7 | − | 1.00148e8i | −0.00680106 | − | 0.0209315i | ||||
\(584\) | −3.19406e8 | − | 9.83031e8i | −0.0663587 | − | 0.204231i | ||||
\(585\) | −2.16105e9 | − | 6.65102e9i | −0.446292 | − | 1.37354i | ||||
\(586\) | −3.27986e9 | + | 2.38296e9i | −0.673309 | + | 0.489187i | ||||
\(587\) | 2.99107e9 | − | 9.20557e9i | 0.610370 | − | 1.87853i | 0.155877 | − | 0.987776i | \(-0.450180\pi\) |
0.454493 | − | 0.890750i | \(-0.349820\pi\) | |||||||
\(588\) | −1.50180e9 | −0.304643 | ||||||||
\(589\) | 9.22366e8 | + | 6.70138e8i | 0.185994 | + | 0.135133i | ||||
\(590\) | −2.23524e9 | − | 1.62399e9i | −0.448066 | − | 0.325539i | ||||
\(591\) | −1.02309e10 | −2.03871 | ||||||||
\(592\) | −1.49763e8 | − | 4.60923e8i | −0.0296673 | − | 0.0913066i | ||||
\(593\) | −8.05254e8 | + | 2.47832e9i | −0.158577 | + | 0.488051i | −0.998506 | − | 0.0546462i | \(-0.982597\pi\) |
0.839928 | + | 0.542697i | \(0.182597\pi\) | |||||||
\(594\) | −2.37678e8 | −0.0465305 | ||||||||
\(595\) | −7.10405e9 | + | 5.16139e9i | −1.38260 | + | 1.00452i | ||||
\(596\) | 4.36858e9 | − | 3.17396e9i | 0.845238 | − | 0.614101i | ||||
\(597\) | 9.58507e8 | − | 6.96396e8i | 0.184368 | − | 0.133951i | ||||
\(598\) | 6.44814e9 | 1.23305 | ||||||||
\(599\) | 1.19076e9 | − | 3.66478e9i | 0.226376 | − | 0.696714i | −0.771773 | − | 0.635898i | \(-0.780630\pi\) |
0.998149 | − | 0.0608157i | \(-0.0193702\pi\) | |||||||
\(600\) | −1.12023e10 | −2.11727 | ||||||||
\(601\) | −2.41320e9 | − | 1.75329e9i | −0.453454 | − | 0.329453i | 0.337504 | − | 0.941324i | \(-0.390417\pi\) |
−0.790958 | + | 0.611871i | \(0.790417\pi\) | |||||||
\(602\) | −3.70551e9 | −0.692246 | ||||||||
\(603\) | −3.67785e8 | − | 1.13193e9i | −0.0683100 | − | 0.210236i | ||||
\(604\) | 1.49593e9 | + | 4.60399e9i | 0.276237 | + | 0.850169i | ||||
\(605\) | 6.87223e9 | 1.26169 | ||||||||
\(606\) | 8.64147e8 | + | 6.27840e8i | 0.157737 | + | 0.114603i | ||||
\(607\) | 3.96435e9 | 0.719467 | 0.359734 | − | 0.933055i | \(-0.382868\pi\) | ||||
0.359734 | + | 0.933055i | \(0.382868\pi\) | |||||||
\(608\) | 3.36316e8 | − | 1.03507e9i | 0.0606854 | − | 0.186771i | ||||
\(609\) | 1.18087e8 | 0.0211856 | ||||||||
\(610\) | −8.11197e8 | + | 5.89369e8i | −0.144701 | + | 0.105132i | ||||
\(611\) | 1.12907e9 | − | 8.20320e8i | 0.200252 | − | 0.145492i | ||||
\(612\) | 3.21699e9 | − | 2.33728e9i | 0.567310 | − | 0.412175i | ||||
\(613\) | −6.78984e9 | −1.19055 | −0.595276 | − | 0.803522i | \(-0.702957\pi\) | ||||
−0.595276 | + | 0.803522i | \(0.702957\pi\) | |||||||
\(614\) | −1.13101e9 | + | 3.48090e9i | −0.197187 | + | 0.606880i | ||||
\(615\) | −3.97789e9 | − | 1.22427e10i | −0.689588 | − | 2.12233i | ||||
\(616\) | −2.09995e9 | −0.361973 | ||||||||
\(617\) | −7.60465e9 | − | 5.52510e9i | −1.30341 | − | 0.946983i | −0.303427 | − | 0.952855i | \(-0.598131\pi\) |
−0.999983 | + | 0.00587209i | \(0.998131\pi\) | |||||||
\(618\) | −2.71079e9 | − | 1.96951e9i | −0.461994 | − | 0.335659i | ||||
\(619\) | −1.05887e10 | −1.79443 | −0.897213 | − | 0.441598i | \(-0.854412\pi\) | ||||
−0.897213 | + | 0.441598i | \(0.854412\pi\) | |||||||
\(620\) | 1.88549e9 | − | 5.80294e9i | 0.317727 | − | 0.977862i | ||||
\(621\) | 1.40387e9 | − | 1.01997e9i | 0.235237 | − | 0.170910i | ||||
\(622\) | 1.69820e9 | + | 5.22652e9i | 0.282958 | + | 0.870855i | ||||
\(623\) | 4.76046e8 | + | 1.46512e9i | 0.0788752 | + | 0.242753i | ||||
\(624\) | 2.50067e8 | + | 7.69628e8i | 0.0412013 | + | 0.126805i | ||||
\(625\) | 1.21208e9 | + | 8.80627e8i | 0.198587 | + | 0.144282i | ||||
\(626\) | 3.01630e8 | + | 9.28321e8i | 0.0491433 | + | 0.151247i | ||||
\(627\) | −6.27320e8 | + | 4.55775e8i | −0.101637 | + | 0.0738438i | ||||
\(628\) | −4.52180e8 | + | 1.39167e9i | −0.0728538 | + | 0.224221i | ||||
\(629\) | 2.71313e9 | + | 8.35017e9i | 0.434704 | + | 1.33788i | ||||
\(630\) | 3.62850e9 | + | 2.63626e9i | 0.578143 | + | 0.420046i | ||||
\(631\) | −5.43426e9 | + | 3.94822e9i | −0.861069 | + | 0.625603i | −0.928176 | − | 0.372143i | \(-0.878623\pi\) |
0.0671066 | + | 0.997746i | \(0.478623\pi\) | |||||||
\(632\) | 2.76228e9 | − | 8.50143e9i | 0.435269 | − | 1.33962i | ||||
\(633\) | −3.27586e9 | − | 2.38005e9i | −0.513349 | − | 0.372970i | ||||
\(634\) | 1.54814e9 | − | 1.12479e9i | 0.241267 | − | 0.175291i | ||||
\(635\) | 1.01368e10 | + | 7.36485e9i | 1.57107 | + | 1.14145i | ||||
\(636\) | −7.74342e7 | + | 2.38318e8i | −0.0119353 | + | 0.0367330i | ||||
\(637\) | −8.03010e8 | + | 2.47141e9i | −0.123093 | + | 0.378841i | ||||
\(638\) | −3.78808e7 | −0.00577492 | ||||||||
\(639\) | −5.41253e9 | − | 2.17501e9i | −0.820629 | − | 0.329768i | ||||
\(640\) | −5.18118e9 | −0.781266 | ||||||||
\(641\) | 3.80447e9 | − | 1.17089e10i | 0.570546 | − | 1.75596i | −0.0803227 | − | 0.996769i | \(-0.525595\pi\) |
0.650868 | − | 0.759191i | \(-0.274405\pi\) | |||||||
\(642\) | 2.18584e9 | − | 6.72731e9i | 0.326021 | − | 1.00339i | ||||
\(643\) | −1.62847e9 | − | 1.18315e9i | −0.241569 | − | 0.175510i | 0.460413 | − | 0.887705i | \(-0.347701\pi\) |
−0.701982 | + | 0.712195i | \(0.747701\pi\) | |||||||
\(644\) | 4.52895e9 | − | 3.29048e9i | 0.668186 | − | 0.485465i | ||||
\(645\) | 1.62246e10 | + | 1.17878e10i | 2.38075 | + | 1.72972i | ||||
\(646\) | 3.87052e8 | − | 1.19122e9i | 0.0564878 | − | 0.173852i | ||||
\(647\) | −2.59374e9 | + | 1.88446e9i | −0.376496 | + | 0.273541i | −0.759900 | − | 0.650040i | \(-0.774752\pi\) |
0.383403 | + | 0.923581i | \(0.374752\pi\) | |||||||
\(648\) | 6.34141e9 | + | 4.60730e9i | 0.915531 | + | 0.665172i | ||||
\(649\) | 5.20033e8 | + | 1.60050e9i | 0.0746749 | + | 0.229826i | ||||
\(650\) | −2.18710e9 | + | 6.73119e9i | −0.312371 | + | 0.961380i | ||||
\(651\) | −6.92383e9 | + | 5.03046e9i | −0.983587 | + | 0.714618i | ||||
\(652\) | −2.09317e9 | − | 6.44210e9i | −0.295758 | − | 0.910251i | ||||
\(653\) | 5.00667e9 | + | 3.63756e9i | 0.703644 | + | 0.511227i | 0.881117 | − | 0.472899i | \(-0.156792\pi\) |
−0.177473 | + | 0.984126i | \(0.556792\pi\) | |||||||
\(654\) | 2.31310e9 | + | 7.11898e9i | 0.323349 | + | 0.995167i | ||||
\(655\) | −3.50085e9 | − | 1.07745e10i | −0.486775 | − | 1.49814i | ||||
\(656\) | 2.16034e8 | + | 6.64886e8i | 0.0298786 | + | 0.0919567i | ||||
\(657\) | 1.08783e9 | − | 7.90357e8i | 0.149652 | − | 0.108729i | ||||
\(658\) | −2.76589e8 | + | 8.51253e8i | −0.0378481 | + | 0.116485i | ||||
\(659\) | −2.54641e8 | −0.0346601 | −0.0173300 | − | 0.999850i | \(-0.505517\pi\) | ||||
−0.0173300 | + | 0.999850i | \(0.505517\pi\) | |||||||
\(660\) | 3.35727e9 | + | 2.43920e9i | 0.454550 | + | 0.330250i | ||||
\(661\) | −7.40766e9 | − | 5.38198e9i | −0.997644 | − | 0.724831i | −0.0360625 | − | 0.999350i | \(-0.511482\pi\) |
−0.961582 | + | 0.274519i | \(0.911482\pi\) | |||||||
\(662\) | −5.46343e9 | −0.731918 | ||||||||
\(663\) | −4.53027e9 | − | 1.39427e10i | −0.603707 | − | 1.85802i | ||||
\(664\) | 4.13098e9 | − | 1.27138e10i | 0.547601 | − | 1.68534i | ||||
\(665\) | −1.91241e9 | −0.252177 | ||||||||
\(666\) | 3.62801e9 | − | 2.63590e9i | 0.475892 | − | 0.345756i | ||||
\(667\) | 2.23746e8 | − | 1.62561e8i | 0.0291955 | − | 0.0212117i | ||||
\(668\) | −3.36573e9 | + | 2.44534e9i | −0.436879 | + | 0.317411i | ||||
\(669\) | 1.40373e10 | 1.81255 | ||||||||
\(670\) | −6.19990e8 | + | 1.90813e9i | −0.0796385 | + | 0.245102i | ||||
\(671\) | 6.10733e8 | 0.0780410 | ||||||||
\(672\) | 6.60945e9 | + | 4.80205e9i | 0.840181 | + | 0.610427i | ||||
\(673\) | 1.10848e9 | 0.140176 | 0.0700881 | − | 0.997541i | \(-0.477672\pi\) | ||||
0.0700881 | + | 0.997541i | \(0.477672\pi\) | |||||||
\(674\) | 2.28042e8 | + | 7.01840e8i | 0.0286883 | + | 0.0882935i | ||||
\(675\) | 5.88576e8 | + | 1.81145e9i | 0.0736613 | + | 0.226706i | ||||
\(676\) | −3.03474e8 | −0.0377840 | ||||||||
\(677\) | 9.38719e8 | + | 6.82019e8i | 0.116272 | + | 0.0844766i | 0.644402 | − | 0.764687i | \(-0.277106\pi\) |
−0.528130 | + | 0.849164i | \(0.677106\pi\) | |||||||
\(678\) | −1.06110e10 | −1.30753 | ||||||||
\(679\) | −2.46777e9 | + | 7.59503e9i | −0.302525 | + | 0.931076i | ||||
\(680\) | −1.83582e10 | −2.23898 | ||||||||
\(681\) | 1.25849e10 | − | 9.14349e9i | 1.52699 | − | 1.10942i | ||||
\(682\) | 2.22108e9 | − | 1.61371e9i | 0.268114 | − | 0.194796i | ||||
\(683\) | −2.37289e9 | + | 1.72401e9i | −0.284974 | + | 0.207046i | −0.721084 | − | 0.692848i | \(-0.756356\pi\) |
0.436110 | + | 0.899893i | \(0.356356\pi\) | |||||||
\(684\) | 8.66016e8 | 0.103474 | ||||||||
\(685\) | −1.92359e9 | + | 5.92021e9i | −0.228663 | + | 0.703752i | ||||
\(686\) | −1.84967e9 | − | 5.69271e9i | −0.218757 | − | 0.673263i | ||||
\(687\) | −3.94802e9 | −0.464549 | ||||||||
\(688\) | −8.81137e8 | − | 6.40184e8i | −0.103154 | − | 0.0749454i | ||||
\(689\) | 3.50780e8 | + | 2.54857e8i | 0.0408571 | + | 0.0296844i | ||||
\(690\) | 2.23815e10 | 2.59369 | ||||||||
\(691\) | −3.99951e9 | + | 1.23092e10i | −0.461141 | + | 1.41925i | 0.402631 | + | 0.915362i | \(0.368096\pi\) |
−0.863772 | + | 0.503883i | \(0.831904\pi\) | |||||||
\(692\) | −3.42486e8 | + | 2.48831e8i | −0.0392891 | + | 0.0285452i | ||||
\(693\) | −8.44180e8 | − | 2.59812e9i | −0.0963538 | − | 0.296546i | ||||
\(694\) | 1.32113e8 | + | 4.06602e8i | 0.0150033 | + | 0.0461754i | ||||
\(695\) | 5.37289e9 | + | 1.65361e10i | 0.607102 | + | 1.86847i | ||||
\(696\) | 1.99729e8 | + | 1.45112e8i | 0.0224548 | + | 0.0163143i | ||||
\(697\) | −3.91372e9 | − | 1.20452e10i | −0.437799 | − | 1.34741i | ||||
\(698\) | 8.02787e9 | − | 5.83259e9i | 0.893524 | − | 0.649183i | ||||
\(699\) | −5.49767e9 | + | 1.69201e10i | −0.608847 | + | 1.87384i | ||||
\(700\) | 1.89878e9 | + | 5.84383e9i | 0.209233 | + | 0.643953i | ||||
\(701\) | 1.75379e9 | + | 1.27420e9i | 0.192293 | + | 0.139709i | 0.679766 | − | 0.733429i | \(-0.262081\pi\) |
−0.487473 | + | 0.873138i | \(0.662081\pi\) | |||||||
\(702\) | 7.91755e8 | − | 5.75244e8i | 0.0863796 | − | 0.0627584i | ||||
\(703\) | −5.90887e8 | + | 1.81856e9i | −0.0641447 | + | 0.197417i | ||||
\(704\) | −2.43725e9 | − | 1.77077e9i | −0.263267 | − | 0.191275i | ||||
\(705\) | 3.91902e9 | − | 2.84733e9i | 0.421226 | − | 0.306039i | ||||
\(706\) | −2.50190e9 | − | 1.81773e9i | −0.267579 | − | 0.194408i | ||||
\(707\) | 4.95844e8 | − | 1.52605e9i | 0.0527688 | − | 0.162406i | ||||
\(708\) | 1.23751e9 | − | 3.80865e9i | 0.131048 | − | 0.403325i | ||||
\(709\) | 4.41014e9 | 0.464719 | 0.232360 | − | 0.972630i | \(-0.425355\pi\) | ||||
0.232360 | + | 0.972630i | \(0.425355\pi\) | |||||||
\(710\) | 5.22644e9 | + | 8.32928e9i | 0.548027 | + | 0.873380i | ||||
\(711\) | 1.16287e10 | 1.21335 | ||||||||
\(712\) | −9.95248e8 | + | 3.06306e9i | −0.103336 | + | 0.318035i | ||||
\(713\) | −6.19396e9 | + | 1.90631e10i | −0.639963 | + | 1.96960i | ||||
\(714\) | 7.60654e9 | + | 5.52647e9i | 0.782066 | + | 0.568204i | ||||
\(715\) | 5.80915e9 | − | 4.22060e9i | 0.594349 | − | 0.431820i | ||||
\(716\) | 4.78208e9 | + | 3.47439e9i | 0.486880 | + | 0.353739i | ||||
\(717\) | 1.82898e9 | − | 5.62901e9i | 0.185307 | − | 0.570316i | ||||
\(718\) | −9.44264e6 | + | 6.86048e6i | −0.000952046 | + | 0.000691702i | ||||
\(719\) | −3.83834e9 | − | 2.78872e9i | −0.385117 | − | 0.279804i | 0.378335 | − | 0.925669i | \(-0.376497\pi\) |
−0.763452 | + | 0.645865i | \(0.776497\pi\) | |||||||
\(720\) | 4.07371e8 | + | 1.25376e9i | 0.0406749 | + | 0.125184i | ||||
\(721\) | −1.55544e9 | + | 4.78716e9i | −0.154554 | + | 0.475669i | ||||
\(722\) | −5.11221e9 | + | 3.71424e9i | −0.505509 | + | 0.367274i | ||||
\(723\) | 4.14829e9 | + | 1.27671e10i | 0.408212 | + | 1.25635i | ||||
\(724\) | 5.78767e9 | + | 4.20499e9i | 0.566786 | + | 0.411794i | ||||
\(725\) | 9.38062e7 | + | 2.88706e8i | 0.00914215 | + | 0.0281367i | ||||
\(726\) | −2.27385e9 | − | 6.99818e9i | −0.220538 | − | 0.678746i | ||||
\(727\) | −1.88450e9 | − | 5.79990e9i | −0.181897 | − | 0.559822i | 0.817984 | − | 0.575241i | \(-0.195092\pi\) |
−0.999881 | + | 0.0154192i | \(0.995092\pi\) | |||||||
\(728\) | 6.99536e9 | − | 5.08243e9i | 0.671970 | − | 0.488215i | ||||
\(729\) | −2.44695e9 | + | 7.53094e9i | −0.233926 | + | 0.719951i | ||||
\(730\) | −2.26670e9 | −0.215658 | ||||||||
\(731\) | 1.59628e10 | + | 1.15977e10i | 1.51147 | + | 1.09815i | ||||
\(732\) | −1.17578e9 | − | 8.54253e8i | −0.110799 | − | 0.0805003i | ||||
\(733\) | −9.21433e9 | −0.864172 | −0.432086 | − | 0.901833i | \(-0.642222\pi\) | ||||
−0.432086 | + | 0.901833i | \(0.642222\pi\) | |||||||
\(734\) | 1.93795e9 | + | 5.96441e9i | 0.180887 | + | 0.556713i | ||||
\(735\) | −2.78725e9 | + | 8.57827e9i | −0.258923 | + | 0.796882i | ||||
\(736\) | 1.91340e10 | 1.76902 | ||||||||
\(737\) | 9.88651e8 | − | 7.18297e8i | 0.0909718 | − | 0.0660949i | ||||
\(738\) | −5.23343e9 | + | 3.80231e9i | −0.479280 | + | 0.348217i | ||||
\(739\) | −6.11360e9 | + | 4.44179e9i | −0.557239 | + | 0.404858i | −0.830447 | − | 0.557097i | \(-0.811915\pi\) |
0.273208 | + | 0.961955i | \(0.411915\pi\) | |||||||
\(740\) | 1.02334e10 | 0.928341 | ||||||||
\(741\) | 9.86637e8 | − | 3.03656e9i | 0.0890828 | − | 0.274169i | ||||
\(742\) | −2.78077e8 | −0.0249892 | ||||||||
\(743\) | −1.34463e10 | − | 9.76929e9i | −1.20266 | − | 0.873780i | −0.208112 | − | 0.978105i | \(-0.566732\pi\) |
−0.994543 | + | 0.104325i | \(0.966732\pi\) | |||||||
\(744\) | −1.78925e10 | −1.59282 | ||||||||
\(745\) | −1.00218e10 | − | 3.08441e10i | −0.887975 | − | 2.73291i | ||||
\(746\) | −4.76963e8 | − | 1.46794e9i | −0.0420629 | − | 0.129456i | ||||
\(747\) | 1.73906e10 | 1.52648 | ||||||||
\(748\) | 3.30311e9 | + | 2.39985e9i | 0.288581 | + | 0.209666i | ||||
\(749\) | −1.06260e10 | −0.924021 | ||||||||
\(750\) | −2.53810e9 | + | 7.81147e9i | −0.219682 | + | 0.676111i | ||||
\(751\) | 1.42609e8 | 0.0122859 | 0.00614294 | − | 0.999981i | \(-0.498045\pi\) | ||||
0.00614294 | + | 0.999981i | \(0.498045\pi\) | |||||||
\(752\) | −2.12837e8 | + | 1.54635e8i | −0.0182510 | + | 0.0132601i | ||||
\(753\) | 1.84441e10 | − | 1.34004e10i | 1.57426 | − | 1.14377i | ||||
\(754\) | 1.26188e8 | − | 9.16813e7i | 0.0107206 | − | 0.00778899i | ||||
\(755\) | 2.90744e10 | 2.45865 | ||||||||
\(756\) | 2.62556e8 | − | 8.08063e8i | 0.0221001 | − | 0.0680173i | ||||
\(757\) | −6.34977e9 | − | 1.95426e10i | −0.532013 | − | 1.63737i | −0.750016 | − | 0.661420i | \(-0.769954\pi\) |
0.218003 | − | 0.975948i | \(-0.430046\pi\) | |||||||
\(758\) | −7.34068e9 | −0.612201 | ||||||||
\(759\) | −1.10288e10 | − | 8.01292e9i | −0.915553 | − | 0.665188i | ||||
\(760\) | −3.23461e9 | − | 2.35008e9i | −0.267285 | − | 0.194194i | ||||
\(761\) | 5.17686e8 | 0.0425814 | 0.0212907 | − | 0.999773i | \(-0.493222\pi\) | ||||
0.0212907 | + | 0.999773i | \(0.493222\pi\) | |||||||
\(762\) | 4.14580e9 | − | 1.27595e10i | 0.339443 | − | 1.04470i | ||||
\(763\) | 9.09708e9 | − | 6.60942e9i | 0.741423 | − | 0.538676i | ||||
\(764\) | 4.11558e9 | + | 1.26664e10i | 0.333891 | + | 1.02761i | ||||
\(765\) | −7.38001e9 | − | 2.27133e10i | −0.595994 | − | 1.83428i | ||||
\(766\) | 8.22845e8 | + | 2.53246e9i | 0.0661481 | + | 0.203583i | ||||
\(767\) | −5.60596e9 | − | 4.07297e9i | −0.448607 | − | 0.325932i | ||||
\(768\) | 5.56620e9 | + | 1.71310e10i | 0.443399 | + | 1.36464i | ||||
\(769\) | −1.09439e10 | + | 7.95123e9i | −0.867823 | + | 0.630510i | −0.930002 | − | 0.367555i | \(-0.880195\pi\) |
0.0621792 | + | 0.998065i | \(0.480195\pi\) | |||||||
\(770\) | −1.42307e9 | + | 4.37975e9i | −0.112333 | + | 0.345726i | ||||
\(771\) | −4.46047e9 | − | 1.37279e10i | −0.350502 | − | 1.07873i | ||||
\(772\) | 2.16191e9 | + | 1.57072e9i | 0.169113 | + | 0.122868i | ||||
\(773\) | −1.17608e9 | + | 8.54471e8i | −0.0915815 | + | 0.0665379i | −0.632634 | − | 0.774451i | \(-0.718026\pi\) |
0.541052 | + | 0.840989i | \(0.318026\pi\) | |||||||
\(774\) | 3.11427e9 | − | 9.58475e9i | 0.241415 | − | 0.742998i | ||||
\(775\) | −1.77990e10 | − | 1.29317e10i | −1.37353 | − | 0.997930i | ||||
\(776\) | −1.35071e10 | + | 9.81351e9i | −1.03764 | + | 0.753891i | ||||
\(777\) | −1.16124e10 | − | 8.43692e9i | −0.888074 | − | 0.645224i | ||||
\(778\) | 4.31167e9 | − | 1.32700e10i | 0.328259 | − | 1.01028i | ||||
\(779\) | 8.52361e8 | − | 2.62330e9i | 0.0646015 | − | 0.198823i | ||||
\(780\) | −1.70872e10 | −1.28926 | ||||||||
\(781\) | 4.06598e8 | − | 5.97553e9i | 0.0305412 | − | 0.448846i | ||||
\(782\) | 2.20205e10 | 1.64666 | ||||||||
\(783\) | 1.29712e7 | − | 3.99212e7i | 0.000965635 | − | 0.00297192i | ||||
\(784\) | 1.51372e8 | − | 4.65876e8i | 0.0112186 | − | 0.0345274i | ||||
\(785\) | 7.10998e9 | + | 5.16570e9i | 0.524596 | + | 0.381141i | ||||
\(786\) | −9.81362e9 | + | 7.13002e9i | −0.720859 | + | 0.523735i | ||||
\(787\) | −4.61983e8 | − | 3.35650e8i | −0.0337842 | − | 0.0245457i | 0.570765 | − | 0.821113i | \(-0.306647\pi\) |
−0.604549 | + | 0.796568i | \(0.706647\pi\) | |||||||
\(788\) | −3.62545e9 | + | 1.11580e10i | −0.263949 | + | 0.812352i | ||||
\(789\) | 2.04088e10 | − | 1.48279e10i | 1.47927 | − | 1.07475i | ||||
\(790\) | −1.58591e10 | − | 1.15223e10i | −1.14441 | − | 0.831464i | ||||
\(791\) | 4.92574e9 | + | 1.51599e10i | 0.353878 | + | 1.08912i | ||||
\(792\) | 1.76489e9 | − | 5.43177e9i | 0.126235 | − | 0.388511i | ||||
\(793\) | −2.03448e9 | + | 1.47813e9i | −0.144876 | + | 0.105259i | ||||
\(794\) | 2.59665e9 | + | 7.99167e9i | 0.184095 | + | 0.566586i | ||||
\(795\) | 1.21756e9 | + | 8.84609e8i | 0.0859420 | + | 0.0624405i | ||||
\(796\) | −4.19843e8 | − | 1.29214e9i | −0.0295047 | − | 0.0908062i | ||||
\(797\) | 3.67600e8 | + | 1.13136e9i | 0.0257200 | + | 0.0791582i | 0.963093 | − | 0.269170i | \(-0.0867494\pi\) |
−0.937373 | + | 0.348328i | \(0.886749\pi\) | |||||||
\(798\) | 6.32769e8 | + | 1.94746e9i | 0.0440794 | + | 0.135662i | ||||
\(799\) | 3.85580e9 | − | 2.80141e9i | 0.267424 | − | 0.194295i | ||||
\(800\) | −6.48991e9 | + | 1.99739e10i | −0.448150 | + | 1.37926i | ||||
\(801\) | −4.18980e9 | −0.288057 | ||||||||
\(802\) | 6.41726e9 | + | 4.66242e9i | 0.439278 | + | 0.319154i | ||||
\(803\) | 1.11695e9 | + | 8.11514e8i | 0.0761256 | + | 0.0553085i | ||||
\(804\) | −2.90805e9 | −0.197336 | ||||||||
\(805\) | −1.03897e10 | − | 3.19763e10i | −0.701971 | − | 2.16044i | ||||
\(806\) | −3.49327e9 | + | 1.07512e10i | −0.234996 | + | 0.723242i | ||||
\(807\) | −2.21926e10 | −1.48645 | ||||||||
\(808\) | 2.71396e9 | − | 1.97181e9i | 0.180994 | − | 0.131500i | ||||
\(809\) | 6.69166e9 | − | 4.86178e9i | 0.444339 | − | 0.322831i | −0.343018 | − | 0.939329i | \(-0.611449\pi\) |
0.787357 | + | 0.616498i | \(0.211449\pi\) | |||||||
\(810\) | 1.39066e10 | − | 1.01037e10i | 0.919437 | − | 0.668010i | ||||
\(811\) | 8.08135e9 | 0.531999 | 0.265999 | − | 0.963973i | \(-0.414298\pi\) | ||||
0.265999 | + | 0.963973i | \(0.414298\pi\) | |||||||
\(812\) | 4.18456e7 | − | 1.28788e8i | 0.00274286 | − | 0.00844167i | ||||
\(813\) | −1.80485e10 | −1.17794 | ||||||||
\(814\) | 3.72513e9 | + | 2.70646e9i | 0.242078 | + | 0.175880i | ||||
\(815\) | −4.06821e10 | −2.63240 | ||||||||
\(816\) | 8.53984e8 | + | 2.62829e9i | 0.0550217 | + | 0.169339i | ||||
\(817\) | 1.32791e9 | + | 4.08689e9i | 0.0851906 | + | 0.262190i | ||||
\(818\) | −3.44995e9 | −0.220382 | ||||||||
\(819\) | 9.10026e9 | + | 6.61172e9i | 0.578842 | + | 0.420553i | ||||
\(820\) | −1.47617e10 | −0.934951 | ||||||||
\(821\) | −4.49079e9 | + | 1.38212e10i | −0.283219 | + | 0.871657i | 0.703708 | + | 0.710489i | \(0.251526\pi\) |
−0.986927 | + | 0.161168i | \(0.948474\pi\) | |||||||
\(822\) | 6.66518e9 | 0.418562 | ||||||||
\(823\) | −2.07920e10 | + | 1.51063e10i | −1.30016 | + | 0.944623i | −0.999957 | − | 0.00925121i | \(-0.997055\pi\) |
−0.300205 | + | 0.953875i | \(0.597055\pi\) | |||||||
\(824\) | −8.51358e9 | + | 6.18548e9i | −0.530111 | + | 0.385148i | ||||
\(825\) | 1.21055e10 | − | 8.79512e9i | 0.750572 | − | 0.545322i | ||||
\(826\) | 4.44406e9 | 0.274378 | ||||||||
\(827\) | 8.23387e9 | − | 2.53412e10i | 0.506215 | − | 1.55797i | −0.292505 | − | 0.956264i | \(-0.594489\pi\) |
0.798719 | − | 0.601704i | \(-0.205511\pi\) | |||||||
\(828\) | 4.70488e9 | + | 1.44801e10i | 0.288033 | + | 0.886475i | ||||
\(829\) | 4.35004e9 | 0.265187 | 0.132593 | − | 0.991171i | \(-0.457670\pi\) | ||||
0.132593 | + | 0.991171i | \(0.457670\pi\) | |||||||
\(830\) | −2.37171e10 | − | 1.72315e10i | −1.43976 | − | 1.04604i | ||||
\(831\) | 1.47275e10 | + | 1.07001e10i | 0.890276 | + | 0.646823i | ||||
\(832\) | 1.24047e10 | 0.746714 | ||||||||
\(833\) | −2.74229e9 | + | 8.43990e9i | −0.164383 | + | 0.505918i | ||||
\(834\) | 1.50614e10 | − | 1.09427e10i | 0.899049 | − | 0.653197i | ||||
\(835\) | 7.72122e9 | + | 2.37635e10i | 0.458969 | + | 1.41256i | ||||
\(836\) | 2.74778e8 | + | 8.45679e8i | 0.0162652 | + | 0.0500591i | ||||
\(837\) | 9.40086e8 | + | 2.89329e9i | 0.0554151 | + | 0.170550i | ||||
\(838\) | −3.97220e9 | − | 2.88597e9i | −0.233172 | − | 0.169410i | ||||
\(839\) | 1.80997e9 | + | 5.57053e9i | 0.105805 | + | 0.325634i | 0.989919 | − | 0.141638i | \(-0.0452369\pi\) |
−0.884114 | + | 0.467272i | \(0.845237\pi\) | |||||||
\(840\) | 2.42809e10 | − | 1.76411e10i | 1.41347 | − | 1.02695i | ||||
\(841\) | −5.32844e9 | + | 1.63992e10i | −0.308897 | + | 0.950688i | ||||
\(842\) | −3.10008e9 | − | 9.54107e9i | −0.178970 | − | 0.550814i | ||||
\(843\) | 2.52740e10 | + | 1.83626e10i | 1.45304 | + | 1.05569i | ||||
\(844\) | −3.75658e9 | + | 2.72932e9i | −0.215077 | + | 0.156263i | ||||
\(845\) | −5.63230e8 | + | 1.73344e9i | −0.0321135 | + | 0.0988351i | ||||
\(846\) | −1.96941e9 | − | 1.43086e9i | −0.111825 | − | 0.0812459i | ||||
\(847\) | −8.94272e9 | + | 6.49726e9i | −0.505682 | + | 0.367400i | ||||
\(848\) | −6.61243e7 | − | 4.80421e7i | −0.00372371 | − | 0.00270543i | ||||
\(849\) | −9.80365e9 | + | 3.01725e10i | −0.549808 | + | 1.69213i | ||||
\(850\) | −7.46896e9 | + | 2.29871e10i | −0.417152 | + | 1.28386i | ||||
\(851\) | −3.36173e10 | −1.86986 | ||||||||
\(852\) | −9.14095e9 | + | 1.09353e10i | −0.506352 | + | 0.605749i | ||||
\(853\) | 1.48484e10 | 0.819141 | 0.409571 | − | 0.912278i | \(-0.365679\pi\) | ||||
0.409571 | + | 0.912278i | \(0.365679\pi\) | |||||||
\(854\) | 4.98385e8 | − | 1.53387e9i | 0.0273818 | − | 0.0842726i | ||||
\(855\) | 1.60728e9 | − | 4.94669e9i | 0.0879446 | − | 0.270666i | ||||
\(856\) | −1.79725e10 | − | 1.30578e10i | −0.979378 | − | 0.711560i | ||||
\(857\) | −2.24637e10 | + | 1.63209e10i | −1.21913 | + | 0.885748i | −0.996027 | − | 0.0890480i | \(-0.971618\pi\) |
−0.223100 | + | 0.974796i | \(0.571618\pi\) | |||||||
\(858\) | −6.22005e9 | − | 4.51913e9i | −0.336193 | − | 0.244258i | ||||
\(859\) | −4.83715e9 | + | 1.48872e10i | −0.260384 | + | 0.801379i | 0.732337 | + | 0.680942i | \(0.238429\pi\) |
−0.992721 | + | 0.120437i | \(0.961571\pi\) | |||||||
\(860\) | 1.86055e10 | − | 1.35177e10i | 0.997460 | − | 0.724697i | ||||
\(861\) | 1.67510e10 | + | 1.21703e10i | 0.894398 | + | 0.649818i | ||||
\(862\) | −2.18062e8 | − | 6.71125e8i | −0.0115959 | − | 0.0356885i | ||||
\(863\) | 8.60547e9 | − | 2.64849e10i | 0.455760 | − | 1.40269i | −0.414480 | − | 0.910059i | \(-0.636036\pi\) |
0.870240 | − | 0.492628i | \(-0.163964\pi\) | |||||||
\(864\) | 2.34943e9 | − | 1.70696e9i | 0.123926 | − | 0.0900378i | ||||
\(865\) | 7.85688e8 | + | 2.41810e9i | 0.0412756 | + | 0.127033i | ||||
\(866\) | −3.94601e9 | − | 2.86695e9i | −0.206465 | − | 0.150005i | ||||
\(867\) | −7.33070e9 | − | 2.25616e10i | −0.382013 | − | 1.17572i | ||||
\(868\) | 3.03276e9 | + | 9.33388e9i | 0.157405 | + | 0.484444i | ||||
\(869\) | 3.68965e9 | + | 1.13556e10i | 0.190728 | + | 0.587002i | ||||
\(870\) | 4.38001e8 | − | 3.18226e8i | 0.0225506 | − | 0.0163839i | ||||
\(871\) | −1.55493e9 | + | 4.78558e9i | −0.0797347 | + | 0.245398i | ||||
\(872\) | 2.35086e10 | 1.20066 | ||||||||
\(873\) | −1.75714e10 | − | 1.27664e10i | −0.893835 | − | 0.649409i | ||||
\(874\) | 3.87988e9 | + | 2.81890e9i | 0.196575 | + | 0.142820i | ||||
\(875\) | 1.23384e10 | 0.622631 | ||||||||
\(876\) | −1.01526e9 | − | 3.12464e9i | −0.0510284 | − | 0.157049i | ||||
\(877\) | 6.13870e9 | − | 1.88930e10i | 0.307311 | − | 0.945805i | −0.671494 | − | 0.741010i | \(-0.734347\pi\) |
0.978805 | − | 0.204795i | \(-0.0656528\pi\) | |||||||
\(878\) | 1.50237e10 | 0.749112 | ||||||||
\(879\) | −2.85520e10 | + | 2.07443e10i | −1.41800 | + | 1.03024i | ||||
\(880\) | −1.09506e9 | + | 7.95609e8i | −0.0541688 | + | 0.0393559i | ||||
\(881\) | 1.54074e9 | − | 1.11941e9i | 0.0759125 | − | 0.0551536i | −0.549182 | − | 0.835703i | \(-0.685061\pi\) |
0.625094 | + | 0.780549i | \(0.285061\pi\) | |||||||
\(882\) | 4.53266e9 | 0.222440 | ||||||||
\(883\) | −5.19104e9 | + | 1.59764e10i | −0.253742 | + | 0.780937i | 0.740333 | + | 0.672240i | \(0.234668\pi\) |
−0.994075 | + | 0.108697i | \(0.965332\pi\) | |||||||
\(884\) | −1.68116e10 | −0.818514 | ||||||||
\(885\) | −1.94583e10 | − | 1.41373e10i | −0.943634 | − | 0.685590i | ||||
\(886\) | 4.43117e9 | 0.214042 | ||||||||
\(887\) | 3.36488e9 | + | 1.03560e10i | 0.161896 | + | 0.498266i | 0.998794 | − | 0.0490932i | \(-0.0156331\pi\) |
−0.836898 | + | 0.547359i | \(0.815633\pi\) | |||||||
\(888\) | −9.27322e9 | − | 2.85400e10i | −0.444411 | − | 1.36776i | ||||
\(889\) | −2.01539e10 | −0.962062 | ||||||||
\(890\) | 5.71401e9 | + | 4.15147e9i | 0.271691 | + | 0.197395i | ||||
\(891\) | −1.04700e10 | −0.495876 | ||||||||
\(892\) | 4.97430e9 | − | 1.53093e10i | 0.234669 | − | 0.722236i | ||||
\(893\) | 1.03798e9 | 0.0487765 | ||||||||
\(894\) | −2.80934e10 | + | 2.04110e10i | −1.31499 | + | 0.955397i | ||||
\(895\) | 2.87210e10 | − | 2.08670e10i | 1.33912 | − | 0.972926i | ||||
\(896\) | 6.74218e9 | − | 4.89848e9i | 0.313128 | − | 0.227501i | ||||
\(897\) | 5.61326e10 | 2.59682 | ||||||||
\(898\) | 4.55382e9 | − | 1.40152e10i | 0.209850 | − | 0.645851i | ||||
\(899\) | 1.49829e8 | + | 4.61127e8i | 0.00687761 | + | 0.0211671i | ||||
\(900\) | −1.67116e10 | −0.764133 | ||||||||
\(901\) | 1.19792e9 | + | 8.70340e8i | 0.0545621 | + | 0.0396417i | ||||
\(902\) | −5.37353e9 | − | 3.90410e9i | −0.243802 | − | 0.177132i | ||||
\(903\) | −3.22574e10 | −1.45788 | ||||||||
\(904\) | −1.02980e10 | + | 3.16941e10i | −0.463623 | + | 1.42688i | ||||
\(905\) | 3.47605e10 | − | 2.52550e10i | 1.55889 | − | 1.13260i | ||||
\(906\) | −9.61998e9 | − | 2.96073e10i | −0.429759 | − | 1.32266i | ||||
\(907\) | −3.16295e9 | − | 9.73455e9i | −0.140756 | − | 0.433202i | 0.855685 | − | 0.517497i | \(-0.173136\pi\) |
−0.996441 | + | 0.0842952i | \(0.973136\pi\) | |||||||
\(908\) | −5.51243e9 | − | 1.69655e10i | −0.244367 | − | 0.752085i | ||||
\(909\) | 3.53059e9 | + | 2.56512e9i | 0.155910 | + | 0.113275i | ||||
\(910\) | −5.85961e9 | − | 1.80340e10i | −0.257765 | − | 0.793319i | ||||
\(911\) | −1.06943e10 | + | 7.76990e9i | −0.468640 | + | 0.340487i | −0.796911 | − | 0.604096i | \(-0.793534\pi\) |
0.328271 | + | 0.944584i | \(0.393534\pi\) | |||||||
\(912\) | −1.85987e8 | + | 5.72410e8i | −0.00811898 | + | 0.0249876i | ||||
\(913\) | 5.51785e9 | + | 1.69822e10i | 0.239951 | + | 0.738492i | ||||
\(914\) | −6.18252e9 | − | 4.49186e9i | −0.267827 | − | 0.194588i | ||||
\(915\) | −7.06167e9 | + | 5.13061e9i | −0.304743 | + | 0.221409i | ||||
\(916\) | −1.39904e9 | + | 4.30579e9i | −0.0601444 | + | 0.185105i | ||||
\(917\) | 1.47422e10 | + | 1.07108e10i | 0.631349 | + | 0.458702i | ||||
\(918\) | 2.70386e9 | − | 1.96447e9i | 0.115354 | − | 0.0838099i | ||||
\(919\) | 1.93776e9 | + | 1.40786e9i | 0.0823560 | + | 0.0598351i | 0.628201 | − | 0.778051i | \(-0.283791\pi\) |
−0.545845 | + | 0.837886i | \(0.683791\pi\) | |||||||
\(920\) | 2.17214e10 | − | 6.68515e10i | 0.919666 | − | 2.83044i | ||||
\(921\) | −9.84576e9 | + | 3.03021e10i | −0.415280 | + | 1.27810i | ||||
\(922\) | −1.76189e10 | −0.740322 | ||||||||
\(923\) | 1.31079e10 | + | 2.08898e10i | 0.548689 | + | 0.874435i | ||||
\(924\) | −6.67486e9 | −0.278349 | ||||||||
\(925\) | 1.14024e10 | − | 3.50930e10i | 0.473697 | − | 1.45789i | ||||
\(926\) | 1.47627e9 | − | 4.54349e9i | 0.0610980 | − | 0.188040i | ||||
\(927\) | −1.10753e10 | − | 8.04668e9i | −0.456643 | − | 0.331770i | ||||
\(928\) | 3.74447e8 | − | 2.72052e8i | 0.0153806 | − | 0.0111746i | ||||
\(929\) | −2.27574e10 | − | 1.65342e10i | −0.931251 | − | 0.676593i | 0.0150478 | − | 0.999887i | \(-0.495210\pi\) |
−0.946299 | + | 0.323293i | \(0.895210\pi\) | |||||||
\(930\) | −1.21252e10 | + | 3.73174e10i | −0.494308 | + | 1.52132i | ||||
\(931\) | −1.56359e9 | + | 1.13601e9i | −0.0635036 | + | 0.0461381i | ||||
\(932\) | 1.65052e10 | + | 1.19917e10i | 0.667829 | + | 0.485206i | ||||
\(933\) | 1.47832e10 | + | 4.54981e10i | 0.595914 | + | 1.83404i | ||||
\(934\) | −7.76942e9 | + | 2.39118e10i | −0.312014 | + | 0.960282i | ||||
\(935\) | 1.98383e10 | − | 1.44134e10i | 0.793715 | − | 0.576668i | ||||
\(936\) | 7.26710e9 | + | 2.23658e10i | 0.289665 | + | 0.891496i | ||||
\(937\) | 2.69680e10 | + | 1.95934e10i | 1.07093 | + | 0.778074i | 0.976079 | − | 0.217418i | \(-0.0697635\pi\) |
0.0948481 | + | 0.995492i | \(0.469763\pi\) | |||||||
\(938\) | −9.97238e8 | − | 3.06918e9i | −0.0394538 | − | 0.121426i | ||||
\(939\) | 2.62576e9 | + | 8.08127e9i | 0.103497 | + | 0.318530i | ||||
\(940\) | −1.71660e9 | − | 5.28316e9i | −0.0674096 | − | 0.207466i | ||||
\(941\) | 2.57755e10 | − | 1.87270e10i | 1.00842 | − | 0.732663i | 0.0445466 | − | 0.999007i | \(-0.485816\pi\) |
0.963878 | + | 0.266344i | \(0.0858157\pi\) | |||||||
\(942\) | 2.90787e9 | − | 8.94949e9i | 0.113343 | − | 0.348835i | ||||
\(943\) | 4.84933e10 | 1.88317 | ||||||||
\(944\) | 1.05676e9 | + | 7.67780e8i | 0.0408859 | + | 0.0297053i | ||||
\(945\) | −4.12837e9 | − | 2.99944e9i | −0.159136 | − | 0.115619i | ||||
\(946\) | 1.03478e10 | 0.397401 | ||||||||
\(947\) | −4.04993e9 | − | 1.24644e10i | −0.154961 | − | 0.476921i | 0.843196 | − | 0.537606i | \(-0.180671\pi\) |
−0.998157 | + | 0.0606856i | \(0.980671\pi\) | |||||||
\(948\) | 8.78013e9 | − | 2.70225e10i | 0.334712 | − | 1.03014i | ||||
\(949\) | −5.68487e9 | −0.215918 | ||||||||
\(950\) | −4.25862e9 | + | 3.09407e9i | −0.161152 | + | 0.117084i | ||||
\(951\) | 1.34769e10 | − | 9.79156e9i | 0.508112 | − | 0.369165i | ||||
\(952\) | 2.38893e10 | − | 1.73566e10i | 0.897374 | − | 0.651980i | ||||
\(953\) | −4.86385e10 | −1.82035 | −0.910174 | − | 0.414225i | \(-0.864053\pi\) | ||||
−0.910174 | + | 0.414225i | \(0.864053\pi\) | |||||||
\(954\) | 2.33708e8 | − | 7.19280e8i | 0.00871475 | − | 0.0268212i | ||||
\(955\) | 7.99891e10 | 2.97180 | ||||||||
\(956\) | −5.49099e9 | − | 3.98944e9i | −0.203258 | − | 0.147676i | ||||
\(957\) | −3.29762e8 | −0.0121621 | ||||||||
\(958\) | −1.07988e10 | − | 3.32354e10i | −0.396824 | − | 1.22130i | ||||
\(959\) | −3.09405e9 | − | 9.52250e9i | −0.113282 | − | 0.348647i | ||||
\(960\) | 4.30568e10 | 1.57070 | ||||||||
\(961\) | −6.17071e9 | − | 4.48328e9i | −0.224287 | − | 0.162954i | ||||
\(962\) | −1.89595e10 | −0.686616 | ||||||||
\(963\) | 8.93053e9 | − | 2.74853e10i | 0.322244 | − | 0.991766i | ||||
\(964\) | 1.53941e10 | 0.553458 | ||||||||
\(965\) | 1.29843e10 | − | 9.43367e9i | 0.465130 | − | 0.337937i | ||||
\(966\) | −2.91247e10 | + | 2.11603e10i | −1.03954 | + | 0.755270i | ||||
\(967\) | −5.70197e9 | + | 4.14272e9i | −0.202783 | + | 0.147331i | −0.684543 | − | 0.728973i | \(-0.739998\pi\) |
0.481759 | + | 0.876304i | \(0.339998\pi\) | |||||||
\(968\) | −2.31097e10 | −0.818900 | ||||||||
\(969\) | 3.36938e9 | − | 1.03699e10i | 0.118964 | − | 0.366135i | ||||
\(970\) | 1.13142e10 | + | 3.48214e10i | 0.398035 | + | 1.22503i | ||||
\(971\) | 3.50124e10 | 1.22731 | 0.613656 | − | 0.789574i | \(-0.289698\pi\) | ||||
0.613656 | + | 0.789574i | \(0.289698\pi\) | |||||||
\(972\) | 1.80428e10 | + | 1.31089e10i | 0.630192 | + | 0.457861i | ||||
\(973\) | −2.26255e10 | − | 1.64384e10i | −0.787413 | − | 0.572089i | ||||
\(974\) | 1.35356e10 | 0.469377 | ||||||||
\(975\) | −1.90392e10 | + | 5.85967e10i | −0.657859 | + | 2.02468i | ||||
\(976\) | 3.83511e8 | − | 2.78637e8i | 0.0132040 | − | 0.00959323i | ||||
\(977\) | −1.05511e10 | − | 3.24729e10i | −0.361965 | − | 1.11401i | −0.951860 | − | 0.306534i | \(-0.900831\pi\) |
0.589895 | − | 0.807480i | \(-0.299169\pi\) | |||||||
\(978\) | 1.34607e10 | + | 4.14277e10i | 0.460130 | + | 1.41614i | ||||
\(979\) | −1.32938e9 | − | 4.09140e9i | −0.0452803 | − | 0.139358i | ||||
\(980\) | 8.36794e9 | + | 6.07966e9i | 0.284006 | + | 0.206342i | ||||
\(981\) | 9.45047e9 | + | 2.90855e10i | 0.319604 | + | 0.983639i | ||||
\(982\) | −8.68901e9 | + | 6.31293e9i | −0.292806 | + | 0.212736i | ||||
\(983\) | 8.52297e9 | − | 2.62310e10i | 0.286189 | − | 0.880800i | −0.699850 | − | 0.714289i | \(-0.746750\pi\) |
0.986040 | − | 0.166511i | \(-0.0532500\pi\) | |||||||
\(984\) | 1.33767e10 | + | 4.11693e10i | 0.447575 | + | 1.37750i | ||||
\(985\) | 5.70058e10 | + | 4.14172e10i | 1.90061 | + | 1.38087i | ||||
\(986\) | 4.30936e8 | − | 3.13093e8i | 0.0143167 | − | 0.0104017i | ||||
\(987\) | −2.40778e9 | + | 7.41037e9i | −0.0797088 | + | 0.245318i | ||||
\(988\) | −2.96210e9 | − | 2.15209e9i | −0.0977126 | − | 0.0709924i | ||||
\(989\) | −6.11201e10 | + | 4.44064e10i | −2.00908 | + | 1.45968i | ||||
\(990\) | −1.01327e10 | − | 7.36187e9i | −0.331897 | − | 0.241138i | ||||
\(991\) | −2.58479e9 | + | 7.95517e9i | −0.0843661 | + | 0.259652i | −0.984337 | − | 0.176298i | \(-0.943588\pi\) |
0.899971 | + | 0.435950i | \(0.143588\pi\) | |||||||
\(992\) | −1.03658e10 | + | 3.19027e10i | −0.337142 | + | 1.03762i | ||||
\(993\) | −4.75605e10 | −1.54143 | ||||||||
\(994\) | −1.46759e10 | − | 5.89747e9i | −0.473971 | − | 0.190464i | ||||
\(995\) | −8.15994e9 | −0.262607 | ||||||||
\(996\) | 1.31306e10 | − | 4.04120e10i | 0.421093 | − | 1.29599i | ||||
\(997\) | −1.11703e10 | + | 3.43785e10i | −0.356969 | + | 1.09864i | 0.597890 | + | 0.801578i | \(0.296006\pi\) |
−0.954859 | + | 0.297059i | \(0.903994\pi\) | |||||||
\(998\) | 2.31862e10 | + | 1.68458e10i | 0.738368 | + | 0.536456i | ||||
\(999\) | −4.12781e9 | + | 2.99903e9i | −0.130991 | + | 0.0951703i |
(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 | 71.8.c.a.57.15 | yes | 164 | |
71.5 | even | 5 | inner | 71.8.c.a.5.15 | ✓ | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
71.8.c.a.5.15 | ✓ | 164 | 71.5 | even | 5 | inner | |
71.8.c.a.57.15 | yes | 164 | 1.1 | even | 1 | trivial |