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 | 24.8 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.8.g.a.9.8 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.35832 | + | 7.97308i | −0.562001 | + | 0.704727i | −0.978926 | − | 0.204213i | \(-0.934536\pi\) |
0.416925 | + | 0.908941i | \(0.363108\pi\) | |||||||
\(3\) | −51.9023 | + | 7.82301i | −1.10984 | + | 0.167282i | −0.678282 | − | 0.734801i | \(-0.737275\pi\) |
−0.431561 | + | 0.902084i | \(0.642037\pi\) | |||||||
\(4\) | 5.34089 | + | 23.4000i | 0.0417257 | + | 0.182812i | ||||
\(5\) | −119.077 | + | 81.1857i | −0.426025 | + | 0.290459i | −0.757290 | − | 0.653079i | \(-0.773477\pi\) |
0.331265 | + | 0.943538i | \(0.392525\pi\) | |||||||
\(6\) | 267.638 | − | 463.562i | 0.505845 | − | 0.876150i | ||||
\(7\) | −639.426 | − | 1107.52i | −0.704608 | − | 1.22042i | −0.966833 | − | 0.255410i | \(-0.917790\pi\) |
0.262225 | − | 0.965007i | \(-0.415544\pi\) | |||||||
\(8\) | −1396.60 | − | 672.566i | −0.964398 | − | 0.464430i | ||||
\(9\) | 542.807 | − | 167.434i | 0.248197 | − | 0.0765586i | ||||
\(10\) | 109.833 | − | 1465.62i | 0.0347322 | − | 0.463469i | ||||
\(11\) | −1897.71 | + | 8314.43i | −0.429889 | + | 1.88347i | 0.0372903 | + | 0.999304i | \(0.488127\pi\) |
−0.467179 | + | 0.884163i | \(0.654730\pi\) | |||||||
\(12\) | −460.263 | − | 1172.73i | −0.0768903 | − | 0.195913i | ||||
\(13\) | −777.239 | − | 10371.5i | −0.0981189 | − | 1.30931i | −0.801286 | − | 0.598281i | \(-0.795851\pi\) |
0.703167 | − | 0.711024i | \(-0.251768\pi\) | |||||||
\(14\) | 12896.0 | + | 1943.76i | 1.25605 | + | 0.189319i | ||||
\(15\) | 5545.27 | − | 5145.26i | 0.424232 | − | 0.393630i | ||||
\(16\) | 11474.5 | − | 5525.81i | 0.700346 | − | 0.337269i | ||||
\(17\) | 13557.1 | + | 9243.06i | 0.669260 | + | 0.456294i | 0.849682 | − | 0.527296i | \(-0.176794\pi\) |
−0.180422 | + | 0.983589i | \(0.557746\pi\) | |||||||
\(18\) | −2116.38 | + | 5392.44i | −0.0855341 | + | 0.217937i | ||||
\(19\) | 15757.4 | + | 4860.50i | 0.527043 | + | 0.162571i | 0.546847 | − | 0.837233i | \(-0.315828\pi\) |
−0.0198039 | + | 0.999804i | \(0.506304\pi\) | |||||||
\(20\) | −2535.72 | − | 2352.81i | −0.0708756 | − | 0.0657630i | ||||
\(21\) | 41851.8 | + | 52480.5i | 0.986158 | + | 1.23660i | ||||
\(22\) | −54225.3 | − | 67996.4i | −1.08573 | − | 1.36147i | ||||
\(23\) | 34949.4 | + | 32428.3i | 0.598952 | + | 0.555747i | 0.920299 | − | 0.391215i | \(-0.127945\pi\) |
−0.321347 | + | 0.946962i | \(0.604136\pi\) | |||||||
\(24\) | 77748.1 | + | 23982.1i | 1.14802 | + | 0.354118i | ||||
\(25\) | −20953.9 | + | 53389.7i | −0.268210 | + | 0.683389i | ||||
\(26\) | 87635.0 | + | 59748.5i | 0.977846 | + | 0.666684i | ||||
\(27\) | 76561.3 | − | 36870.0i | 0.748576 | − | 0.360495i | ||||
\(28\) | 22500.8 | − | 20877.7i | 0.193707 | − | 0.179734i | ||||
\(29\) | −197489. | − | 29766.6i | −1.50366 | − | 0.226640i | −0.655019 | − | 0.755612i | \(-0.727339\pi\) |
−0.848639 | + | 0.528972i | \(0.822578\pi\) | |||||||
\(30\) | 5764.97 | + | 76928.1i | 0.0389828 | + | 0.520189i | ||||
\(31\) | 25635.1 | + | 65317.2i | 0.154550 | + | 0.393787i | 0.987088 | − | 0.160182i | \(-0.0512080\pi\) |
−0.832537 | + | 0.553969i | \(0.813113\pi\) | |||||||
\(32\) | 15250.6 | − | 66817.4i | 0.0822740 | − | 0.360466i | ||||
\(33\) | 33451.8 | − | 446383.i | 0.162039 | − | 2.16227i | ||||
\(34\) | −159896. | + | 49321.3i | −0.697687 | + | 0.215208i | ||||
\(35\) | 166056. | + | 79968.3i | 0.654661 | + | 0.315268i | ||||
\(36\) | 6817.02 | + | 11807.4i | 0.0243521 | + | 0.0421790i | ||||
\(37\) | −11693.9 | + | 20254.5i | −0.0379538 | + | 0.0657378i | −0.884378 | − | 0.466771i | \(-0.845417\pi\) |
0.846425 | + | 0.532509i | \(0.178751\pi\) | |||||||
\(38\) | −138944. | + | 94730.1i | −0.410767 | + | 0.280056i | ||||
\(39\) | 121477. | + | 532225.i | 0.327920 | + | 1.43671i | ||||
\(40\) | 220906. | − | 33296.2i | 0.545755 | − | 0.0822593i | ||||
\(41\) | 343566. | − | 430818.i | 0.778514 | − | 0.976226i | −0.221485 | − | 0.975164i | \(-0.571091\pi\) |
0.999999 | − | 0.00106196i | \(-0.000338032\pi\) | |||||||
\(42\) | −684538. | −1.42569 | ||||||||
\(43\) | −31124.4 | − | 520432.i | −0.0596983 | − | 0.998216i | ||||
\(44\) | −204693. | −0.362259 | ||||||||
\(45\) | −51042.9 | + | 64005.7i | −0.0835009 | + | 0.104707i | ||||
\(46\) | −480773. | + | 72464.9i | −0.728262 | + | 0.109768i | ||||
\(47\) | −243658. | − | 1.06754e6i | −0.342325 | − | 1.49982i | −0.794153 | − | 0.607718i | \(-0.792085\pi\) |
0.451828 | − | 0.892105i | \(-0.350772\pi\) | |||||||
\(48\) | −552322. | + | 376567.i | −0.720855 | + | 0.491471i | ||||
\(49\) | −405961. | + | 703144.i | −0.492944 | + | 0.853804i | ||||
\(50\) | −292449. | − | 506536.i | −0.330868 | − | 0.573081i | ||||
\(51\) | −775951. | − | 373678.i | −0.819103 | − | 0.394459i | ||||
\(52\) | 238542. | − | 73580.6i | 0.235263 | − | 0.0725691i | ||||
\(53\) | −134712. | + | 1.79761e6i | −0.124292 | + | 1.65856i | 0.491672 | + | 0.870780i | \(0.336386\pi\) |
−0.615964 | + | 0.787775i | \(0.711233\pi\) | |||||||
\(54\) | −192834. | + | 844860.i | −0.166650 | + | 0.730141i | ||||
\(55\) | −449037. | − | 1.14413e6i | −0.363926 | − | 0.927268i | ||||
\(56\) | 148142. | + | 1.97682e6i | 0.112725 | + | 1.50421i | ||||
\(57\) | −855866. | − | 129001.i | −0.612131 | − | 0.0922638i | ||||
\(58\) | 1.49303e6 | − | 1.38533e6i | 1.00478 | − | 0.932297i | ||||
\(59\) | 1.93800e6 | − | 933290.i | 1.22849 | − | 0.591608i | 0.296825 | − | 0.954932i | \(-0.404072\pi\) |
0.931663 | + | 0.363324i | \(0.118358\pi\) | |||||||
\(60\) | 150016. | + | 102279.i | 0.0896618 | + | 0.0611304i | ||||
\(61\) | 267187. | − | 680781.i | 0.150716 | − | 0.384019i | −0.835498 | − | 0.549494i | \(-0.814820\pi\) |
0.986214 | + | 0.165475i | \(0.0529157\pi\) | |||||||
\(62\) | −683775. | − | 210917.i | −0.364370 | − | 0.112393i | ||||
\(63\) | −532521. | − | 494107.i | −0.268315 | − | 0.248960i | ||||
\(64\) | 1.45217e6 | + | 1.82096e6i | 0.692446 | + | 0.868300i | ||||
\(65\) | 934571. | + | 1.17192e6i | 0.422100 | + | 0.529297i | ||||
\(66\) | 3.34635e6 | + | 3.10496e6i | 1.43274 | + | 1.32939i | ||||
\(67\) | −1.30943e6 | − | 403905.i | −0.531887 | − | 0.164065i | 0.0171663 | − | 0.999853i | \(-0.494536\pi\) |
−0.549054 | + | 0.835787i | \(0.685012\pi\) | |||||||
\(68\) | −143880. | + | 366601.i | −0.0554908 | + | 0.141388i | ||||
\(69\) | −2.06764e6 | − | 1.40969e6i | −0.757710 | − | 0.516598i | ||||
\(70\) | −1.69343e6 | + | 815513.i | −0.590098 | + | 0.284176i | ||||
\(71\) | 3.76758e6 | − | 3.49581e6i | 1.24928 | − | 1.15916i | 0.268657 | − | 0.963236i | \(-0.413420\pi\) |
0.980619 | − | 0.195923i | \(-0.0627703\pi\) | |||||||
\(72\) | −870693. | − | 131236.i | −0.274917 | − | 0.0414370i | ||||
\(73\) | 17935.0 | + | 239326.i | 0.00539599 | + | 0.0720045i | 0.999252 | − | 0.0386791i | \(-0.0123150\pi\) |
−0.993856 | + | 0.110684i | \(0.964696\pi\) | |||||||
\(74\) | −87136.9 | − | 222021.i | −0.0249972 | − | 0.0636918i | ||||
\(75\) | 669888. | − | 2.93497e6i | 0.183353 | − | 0.803321i | ||||
\(76\) | −29577.3 | + | 394681.i | −0.00772878 | + | 0.103133i | ||||
\(77\) | 1.04218e7 | − | 3.21471e6i | 2.60152 | − | 0.802462i | ||||
\(78\) | −5.01586e6 | − | 2.41551e6i | −1.19678 | − | 0.576339i | ||||
\(79\) | −1.48443e6 | − | 2.57110e6i | −0.338738 | − | 0.586711i | 0.645458 | − | 0.763796i | \(-0.276667\pi\) |
−0.984196 | + | 0.177085i | \(0.943333\pi\) | |||||||
\(80\) | −917734. | + | 1.58956e6i | −0.200402 | + | 0.347106i | ||||
\(81\) | −4.71171e6 | + | 3.21239e6i | −0.985102 | + | 0.671632i | ||||
\(82\) | 1.25044e6 | + | 5.47856e6i | 0.250447 | + | 1.09728i | ||||
\(83\) | −4.42373e6 | + | 666770.i | −0.849210 | + | 0.127998i | −0.559207 | − | 0.829028i | \(-0.688894\pi\) |
−0.290003 | + | 0.957026i | \(0.593656\pi\) | |||||||
\(84\) | −1.00452e6 | + | 1.25962e6i | −0.184918 | + | 0.231880i | ||||
\(85\) | −2.36475e6 | −0.417656 | ||||||||
\(86\) | 4.34735e6 | + | 3.06092e6i | 0.737021 | + | 0.518928i | ||||
\(87\) | 1.04830e7 | 1.70674 | ||||||||
\(88\) | 8.24235e6 | − | 1.03356e7i | 1.28932 | − | 1.61676i | ||||
\(89\) | 121197. | − | 18267.5i | 0.0182232 | − | 0.00274671i | −0.139924 | − | 0.990162i | \(-0.544686\pi\) |
0.158148 | + | 0.987415i | \(0.449448\pi\) | |||||||
\(90\) | −185776. | − | 813938.i | −0.0268621 | − | 0.117691i | ||||
\(91\) | −1.09897e7 | + | 7.49263e6i | −1.52876 | + | 1.04229i | ||||
\(92\) | −572161. | + | 991011.i | −0.0766056 | + | 0.132685i | ||||
\(93\) | −1.84150e6 | − | 3.18957e6i | −0.237400 | − | 0.411189i | ||||
\(94\) | 1.00608e7 | + | 4.84503e6i | 1.24935 | + | 0.601657i | ||||
\(95\) | −2.27095e6 | + | 700496.i | −0.271753 | + | 0.0838248i | ||||
\(96\) | −268829. | + | 3.58728e6i | −0.0310118 | + | 0.413824i | ||||
\(97\) | 1.41501e6 | − | 6.19956e6i | 0.157419 | − | 0.689699i | −0.833191 | − | 0.552985i | \(-0.813489\pi\) |
0.990611 | − | 0.136714i | \(-0.0436541\pi\) | |||||||
\(98\) | −3.02500e6 | − | 7.70757e6i | −0.324664 | − | 0.827230i | ||||
\(99\) | 362024. | + | 4.83087e6i | 0.0374985 | + | 0.500383i | ||||
\(100\) | −1.36123e6 | − | 205173.i | −0.136123 | − | 0.0205173i | ||||
\(101\) | −4.93757e6 | + | 4.58139e6i | −0.476857 | + | 0.442459i | −0.881618 | − | 0.471964i | \(-0.843545\pi\) |
0.404761 | + | 0.914423i | \(0.367355\pi\) | |||||||
\(102\) | 7.91311e6 | − | 3.81075e6i | 0.738324 | − | 0.355558i | ||||
\(103\) | 8.62412e6 | + | 5.87982e6i | 0.777650 | + | 0.530193i | 0.885870 | − | 0.463934i | \(-0.153563\pi\) |
−0.108220 | + | 0.994127i | \(0.534515\pi\) | |||||||
\(104\) | −5.89005e6 | + | 1.50076e7i | −0.513455 | + | 1.30826i | ||||
\(105\) | −9.24427e6 | − | 2.85148e6i | −0.779310 | − | 0.240385i | ||||
\(106\) | −1.34759e7 | − | 1.25038e7i | −1.09898 | − | 1.01970i | ||||
\(107\) | 1.20729e7 | + | 1.51390e7i | 0.952730 | + | 1.19469i | 0.980787 | + | 0.195079i | \(0.0624964\pi\) |
−0.0280576 | + | 0.999606i | \(0.508932\pi\) | |||||||
\(108\) | 1.27166e6 | + | 1.59461e6i | 0.0971379 | + | 0.121807i | ||||
\(109\) | −8.05861e6 | − | 7.47730e6i | −0.596029 | − | 0.553034i | 0.323414 | − | 0.946258i | \(-0.395169\pi\) |
−0.919443 | + | 0.393223i | \(0.871360\pi\) | |||||||
\(110\) | 1.19774e7 | + | 3.69452e6i | 0.857998 | + | 0.264657i | ||||
\(111\) | 448491. | − | 1.14274e6i | 0.0311260 | − | 0.0793077i | ||||
\(112\) | −1.34570e7 | − | 9.17483e6i | −0.905077 | − | 0.617071i | ||||
\(113\) | −3.78651e6 | + | 1.82349e6i | −0.246868 | + | 0.118885i | −0.553226 | − | 0.833031i | \(-0.686604\pi\) |
0.306359 | + | 0.951916i | \(0.400889\pi\) | |||||||
\(114\) | 6.47041e6 | − | 6.00366e6i | 0.409039 | − | 0.379533i | ||||
\(115\) | −6.79440e6 | − | 1.02409e6i | −0.416590 | − | 0.0627908i | ||||
\(116\) | −358227. | − | 4.78021e6i | −0.0213086 | − | 0.284344i | ||||
\(117\) | −2.15843e6 | − | 5.49960e6i | −0.124591 | − | 0.317454i | ||||
\(118\) | −4.88120e6 | + | 2.13859e7i | −0.273489 | + | 1.19823i | ||||
\(119\) | 1.56811e6 | − | 2.09250e7i | 0.0853025 | − | 1.13828i | ||||
\(120\) | −1.12050e7 | + | 3.45630e6i | −0.591942 | + | 0.182590i | ||||
\(121\) | −4.79711e7 | − | 2.31017e7i | −2.46167 | − | 1.18548i | ||||
\(122\) | 3.72906e6 | + | 6.45893e6i | 0.185926 | + | 0.322033i | ||||
\(123\) | −1.44615e7 | + | 2.50481e7i | −0.700724 | + | 1.21369i | ||||
\(124\) | −1.39151e6 | + | 948713.i | −0.0655405 | + | 0.0446847i | ||||
\(125\) | −4.34479e6 | − | 1.90358e7i | −0.198968 | − | 0.871736i | ||||
\(126\) | 7.32550e6 | − | 1.10414e6i | 0.326242 | − | 0.0491731i | ||||
\(127\) | 2.58062e7 | − | 3.23599e7i | 1.11792 | − | 1.40183i | 0.212579 | − | 0.977144i | \(-0.431814\pi\) |
0.905341 | − | 0.424684i | \(-0.139615\pi\) | |||||||
\(128\) | −1.49794e7 | −0.631335 | ||||||||
\(129\) | 5.68677e6 | + | 2.67681e7i | 0.233239 | + | 1.09788i | ||||
\(130\) | −1.52861e7 | −0.610231 | ||||||||
\(131\) | 3.25300e6 | − | 4.07913e6i | 0.126426 | − | 0.158533i | −0.714590 | − | 0.699543i | \(-0.753387\pi\) |
0.841016 | + | 0.541011i | \(0.181958\pi\) | |||||||
\(132\) | 1.06240e7 | − | 1.60131e6i | 0.402050 | − | 0.0605993i | ||||
\(133\) | −4.69257e6 | − | 2.05595e7i | −0.172954 | − | 0.757761i | ||||
\(134\) | 1.15461e7 | − | 7.87201e6i | 0.414543 | − | 0.282631i | ||||
\(135\) | −6.12341e6 | + | 1.06061e7i | −0.214203 | + | 0.371010i | ||||
\(136\) | −1.27172e7 | − | 2.20269e7i | −0.433517 | − | 0.750873i | ||||
\(137\) | −7.88450e6 | − | 3.79697e6i | −0.261970 | − | 0.126158i | 0.298289 | − | 0.954476i | \(-0.403584\pi\) |
−0.560259 | + | 0.828317i | \(0.689298\pi\) | |||||||
\(138\) | 2.43863e7 | − | 7.52218e6i | 0.789895 | − | 0.243650i | ||||
\(139\) | 403474. | − | 5.38399e6i | 0.0127428 | − | 0.170041i | −0.987201 | − | 0.159478i | \(-0.949019\pi\) |
0.999944 | − | 0.0105623i | \(-0.00336214\pi\) | |||||||
\(140\) | −984370. | + | 4.31281e6i | −0.0303187 | + | 0.132835i | ||||
\(141\) | 2.09977e7 | + | 5.35014e7i | 0.630821 | + | 1.60730i | ||||
\(142\) | 3.91685e6 | + | 5.22667e7i | 0.114796 | + | 1.53185i | ||||
\(143\) | 8.77083e7 | + | 1.32199e7i | 2.50821 | + | 0.378052i | ||||
\(144\) | 5.30321e6 | − | 4.92066e6i | 0.148003 | − | 0.137327i | ||||
\(145\) | 2.59331e7 | − | 1.24887e7i | 0.706425 | − | 0.340196i | ||||
\(146\) | −2.02220e6 | − | 1.37871e6i | −0.0537761 | − | 0.0366639i | ||||
\(147\) | 1.55696e7 | − | 3.96706e7i | 0.404265 | − | 1.03005i | ||||
\(148\) | −536411. | − | 165461.i | −0.0136013 | − | 0.00419546i | ||||
\(149\) | 4.06587e7 | + | 3.77258e7i | 1.00694 | + | 0.934300i | 0.997842 | − | 0.0656583i | \(-0.0209147\pi\) |
0.00909416 | + | 0.999959i | \(0.497105\pi\) | |||||||
\(150\) | 1.91414e7 | + | 2.40026e7i | 0.463078 | + | 0.580681i | ||||
\(151\) | 1.78571e7 | + | 2.23922e7i | 0.422078 | + | 0.529269i | 0.946722 | − | 0.322053i | \(-0.104373\pi\) |
−0.524644 | + | 0.851322i | \(0.675801\pi\) | |||||||
\(152\) | −1.87377e7 | − | 1.73860e7i | −0.432776 | − | 0.401558i | ||||
\(153\) | 8.90647e6 | + | 2.74728e6i | 0.201041 | + | 0.0620131i | ||||
\(154\) | −4.06342e7 | + | 1.03534e8i | −0.896539 | + | 2.28434i | ||||
\(155\) | −8.35538e6 | − | 5.69660e6i | −0.180221 | − | 0.122873i | ||||
\(156\) | −1.18053e7 | + | 5.68512e6i | −0.248966 | + | 0.119896i | ||||
\(157\) | −3.29669e7 | + | 3.05888e7i | −0.679876 | + | 0.630833i | −0.942555 | − | 0.334050i | \(-0.891584\pi\) |
0.262679 | + | 0.964883i | \(0.415394\pi\) | |||||||
\(158\) | 2.99381e7 | + | 4.51244e6i | 0.603843 | + | 0.0910147i | ||||
\(159\) | −7.07084e6 | − | 9.43539e7i | −0.139502 | − | 1.86153i | ||||
\(160\) | 3.60861e6 | + | 9.19458e6i | 0.0696497 | + | 0.177465i | ||||
\(161\) | 1.35674e7 | − | 5.94426e7i | 0.256216 | − | 1.12255i | ||||
\(162\) | 4.34592e6 | − | 5.79923e7i | 0.0803118 | − | 1.07169i | ||||
\(163\) | −2.13187e7 | + | 6.57596e6i | −0.385571 | + | 0.118933i | −0.481480 | − | 0.876457i | \(-0.659901\pi\) |
0.0959085 | + | 0.995390i | \(0.469424\pi\) | |||||||
\(164\) | 1.19161e7 | + | 5.73848e6i | 0.210950 | + | 0.101588i | ||||
\(165\) | 3.22566e7 | + | 5.58700e7i | 0.559016 | + | 0.968245i | ||||
\(166\) | 2.28113e7 | − | 3.95103e7i | 0.387054 | − | 0.670396i | ||||
\(167\) | 1.71382e7 | − | 1.16846e7i | 0.284746 | − | 0.194136i | −0.412521 | − | 0.910948i | \(-0.635352\pi\) |
0.697267 | + | 0.716812i | \(0.254399\pi\) | |||||||
\(168\) | −2.31535e7 | − | 1.01442e8i | −0.376734 | − | 1.65058i | ||||
\(169\) | −4.49168e7 | + | 6.77012e6i | −0.715823 | + | 0.107893i | ||||
\(170\) | 1.50358e7 | − | 1.88543e7i | 0.234723 | − | 0.294333i | ||||
\(171\) | 9.36702e6 | 0.143257 | ||||||||
\(172\) | 1.20119e7 | − | 3.50788e6i | 0.179995 | − | 0.0525649i | ||||
\(173\) | −5.08898e7 | −0.747256 | −0.373628 | − | 0.927579i | \(-0.621886\pi\) | ||||
−0.373628 | + | 0.927579i | \(0.621886\pi\) | |||||||
\(174\) | −6.66541e7 | + | 8.35816e7i | −0.959189 | + | 1.20279i | ||||
\(175\) | 7.25286e7 | − | 1.09319e7i | 1.02300 | − | 0.154193i | ||||
\(176\) | 2.41687e7 | + | 1.05890e8i | 0.334163 | + | 1.46407i | ||||
\(177\) | −9.32852e7 | + | 6.36008e7i | −1.26446 | + | 0.862097i | ||||
\(178\) | −624959. | + | 1.08246e6i | −0.00830581 | + | 0.0143861i | ||||
\(179\) | −1.75923e7 | − | 3.04707e7i | −0.229264 | − | 0.397097i | 0.728326 | − | 0.685231i | \(-0.240299\pi\) |
−0.957590 | + | 0.288134i | \(0.906965\pi\) | |||||||
\(180\) | −1.77035e6 | − | 852554.i | −0.0226258 | − | 0.0108960i | ||||
\(181\) | −1.05802e7 | + | 3.26356e6i | −0.132623 | + | 0.0409088i | −0.360356 | − | 0.932815i | \(-0.617345\pi\) |
0.227733 | + | 0.973724i | \(0.426869\pi\) | |||||||
\(182\) | 1.01365e7 | − | 1.35262e8i | 0.124634 | − | 1.66313i | ||||
\(183\) | −8.54185e6 | + | 3.74243e7i | −0.103032 | + | 0.451414i | ||||
\(184\) | −2.70001e7 | − | 6.87951e7i | −0.319523 | − | 0.814132i | ||||
\(185\) | −251890. | − | 3.36123e6i | −0.00292489 | − | 0.0390299i | ||||
\(186\) | 3.71395e7 | + | 5.59788e6i | 0.423195 | + | 0.0637864i | ||||
\(187\) | −1.02578e8 | + | 9.51786e7i | −1.14712 | + | 1.06437i | ||||
\(188\) | 2.36790e7 | − | 1.14032e7i | 0.259902 | − | 0.125162i | ||||
\(189\) | −8.97895e7 | − | 6.12174e7i | −0.967407 | − | 0.659567i | ||||
\(190\) | 8.85432e6 | − | 2.25604e7i | 0.0936522 | − | 0.238622i | ||||
\(191\) | −742473. | − | 229023.i | −0.00771017 | − | 0.00237827i | 0.290898 | − | 0.956754i | \(-0.406046\pi\) |
−0.298608 | + | 0.954376i | \(0.596522\pi\) | |||||||
\(192\) | −8.96160e7 | − | 8.31515e7i | −0.913758 | − | 0.847844i | ||||
\(193\) | 6.14586e7 | + | 7.70667e7i | 0.615364 | + | 0.771642i | 0.987684 | − | 0.156462i | \(-0.0500090\pi\) |
−0.372320 | + | 0.928104i | \(0.621438\pi\) | |||||||
\(194\) | 4.04325e7 | + | 5.07007e7i | 0.397580 | + | 0.498549i | ||||
\(195\) | −5.76742e7 | − | 5.35139e7i | −0.557007 | − | 0.516827i | ||||
\(196\) | −1.86218e7 | − | 5.74405e6i | −0.176654 | − | 0.0544907i | ||||
\(197\) | 3.16676e7 | − | 8.06878e7i | 0.295110 | − | 0.751928i | −0.704018 | − | 0.710182i | \(-0.748613\pi\) |
0.999128 | − | 0.0417459i | \(-0.0132920\pi\) | |||||||
\(198\) | −4.08188e7 | − | 2.78298e7i | −0.373707 | − | 0.254789i | ||||
\(199\) | 5.55700e7 | − | 2.67611e7i | 0.499867 | − | 0.240723i | −0.166921 | − | 0.985970i | \(-0.553383\pi\) |
0.666789 | + | 0.745247i | \(0.267668\pi\) | |||||||
\(200\) | 6.51723e7 | − | 6.04711e7i | 0.576048 | − | 0.534494i | ||||
\(201\) | 7.11220e7 | + | 1.07199e7i | 0.617757 | + | 0.0931119i | ||||
\(202\) | −5.13318e6 | − | 6.84976e7i | −0.0438185 | − | 0.584717i | ||||
\(203\) | 9.33124e7 | + | 2.37756e8i | 0.782894 | + | 1.99478i | ||||
\(204\) | 4.59979e6 | − | 2.01530e7i | 0.0379344 | − | 0.166201i | ||||
\(205\) | −5.93472e6 | + | 7.91933e7i | −0.0481129 | + | 0.642022i | ||||
\(206\) | −1.01715e8 | + | 3.13750e7i | −0.810682 | + | 0.250062i | ||||
\(207\) | 2.44004e7 | + | 1.17506e7i | 0.191205 | + | 0.0920797i | ||||
\(208\) | −6.62295e7 | − | 1.14713e8i | −0.510305 | − | 0.883874i | ||||
\(209\) | −7.03153e7 | + | 1.21790e8i | −0.532767 | + | 0.922780i | ||||
\(210\) | 8.15131e7 | − | 5.55747e7i | 0.607379 | − | 0.414104i | ||||
\(211\) | 1.26743e6 | + | 5.55295e6i | 0.00928825 | + | 0.0406945i | 0.979360 | − | 0.202125i | \(-0.0647848\pi\) |
−0.970071 | + | 0.242820i | \(0.921928\pi\) | |||||||
\(212\) | −4.27835e7 | + | 6.44858e6i | −0.308391 | + | 0.0464824i | ||||
\(213\) | −1.68198e8 | + | 2.10914e8i | −1.19259 | + | 1.49547i | ||||
\(214\) | −1.97468e8 | −1.37736 | ||||||||
\(215\) | 4.59579e7 | + | 5.94449e7i | 0.315374 | + | 0.407925i | ||||
\(216\) | −1.31723e8 | −0.889350 | ||||||||
\(217\) | 5.59483e7 | − | 7.01569e7i | 0.371687 | − | 0.466081i | ||||
\(218\) | 1.10856e8 | − | 1.67089e7i | 0.724708 | − | 0.109232i | ||||
\(219\) | −2.80312e6 | − | 1.22812e7i | −0.0180338 | − | 0.0790111i | ||||
\(220\) | 2.43743e7 | − | 1.66181e7i | 0.154331 | − | 0.105221i | ||||
\(221\) | 8.53275e7 | − | 1.47792e8i | 0.531761 | − | 0.921036i | ||||
\(222\) | 6.25948e6 | + | 1.08417e7i | 0.0383975 | + | 0.0665064i | ||||
\(223\) | 1.76366e8 | + | 8.49336e7i | 1.06500 | + | 0.512876i | 0.882491 | − | 0.470328i | \(-0.155865\pi\) |
0.182507 | + | 0.983205i | \(0.441579\pi\) | |||||||
\(224\) | −8.37531e7 | + | 2.58344e7i | −0.497890 | + | 0.153579i | ||||
\(225\) | −2.43469e6 | + | 3.24887e7i | −0.0142497 | + | 0.190149i | ||||
\(226\) | 9.53703e6 | − | 4.17844e7i | 0.0549583 | − | 0.240788i | ||||
\(227\) | −8.41809e7 | − | 2.14489e8i | −0.477665 | − | 1.21707i | −0.943255 | − | 0.332069i | \(-0.892253\pi\) |
0.465590 | − | 0.885000i | \(-0.345842\pi\) | |||||||
\(228\) | −1.55247e6 | − | 2.07162e7i | −0.00867462 | − | 0.115755i | ||||
\(229\) | 1.69709e7 | + | 2.55795e6i | 0.0933858 | + | 0.0140756i | 0.195569 | − | 0.980690i | \(-0.437345\pi\) |
−0.102183 | + | 0.994766i | \(0.532583\pi\) | |||||||
\(230\) | 5.13661e7 | − | 4.76608e7i | 0.278374 | − | 0.258294i | ||||
\(231\) | −5.15768e8 | + | 2.48381e8i | −2.75304 | + | 1.32579i | ||||
\(232\) | 2.55792e8 | + | 1.74396e8i | 1.34487 | + | 0.916915i | ||||
\(233\) | 5.71650e7 | − | 1.45654e8i | 0.296063 | − | 0.754356i | −0.703005 | − | 0.711185i | \(-0.748159\pi\) |
0.999068 | − | 0.0431712i | \(-0.0137461\pi\) | |||||||
\(234\) | 5.75728e7 | + | 1.77588e7i | 0.293739 | + | 0.0906065i | ||||
\(235\) | 1.15683e8 | + | 1.07338e8i | 0.581475 | + | 0.539530i | ||||
\(236\) | 3.21896e7 | + | 4.03645e7i | 0.159413 | + | 0.199897i | ||||
\(237\) | 9.71588e7 | + | 1.21833e8i | 0.474092 | + | 0.594493i | ||||
\(238\) | 1.56866e8 | + | 1.45550e8i | 0.754239 | + | 0.699832i | ||||
\(239\) | −7.92509e7 | − | 2.44457e7i | −0.375501 | − | 0.115827i | 0.101259 | − | 0.994860i | \(-0.467713\pi\) |
−0.476760 | + | 0.879033i | \(0.658189\pi\) | |||||||
\(240\) | 3.51973e7 | − | 8.96812e7i | 0.164350 | − | 0.418757i | ||||
\(241\) | −7.99396e7 | − | 5.45019e7i | −0.367877 | − | 0.250814i | 0.365245 | − | 0.930911i | \(-0.380985\pi\) |
−0.733122 | + | 0.680097i | \(0.761938\pi\) | |||||||
\(242\) | 4.89207e8 | − | 2.35590e8i | 2.21890 | − | 1.06857i | ||||
\(243\) | 8.31849e7 | − | 7.71843e7i | 0.371897 | − | 0.345070i | ||||
\(244\) | 1.73573e7 | + | 2.61619e6i | 0.0764922 | + | 0.0115294i | ||||
\(245\) | −8.74447e6 | − | 1.16687e8i | −0.0379885 | − | 0.506921i | ||||
\(246\) | −1.07760e8 | − | 2.74567e8i | −0.461512 | − | 1.17591i | ||||
\(247\) | 3.81636e7 | − | 1.67206e8i | 0.161143 | − | 0.706012i | ||||
\(248\) | 8.12819e6 | − | 1.08463e8i | 0.0338386 | − | 0.451545i | ||||
\(249\) | 2.24385e8 | − | 6.92137e7i | 0.921079 | − | 0.284115i | ||||
\(250\) | 1.79399e8 | + | 8.63941e7i | 0.726157 | + | 0.349699i | ||||
\(251\) | 5.20428e7 | + | 9.01407e7i | 0.207731 | + | 0.359801i | 0.951000 | − | 0.309192i | \(-0.100059\pi\) |
−0.743268 | + | 0.668994i | \(0.766725\pi\) | |||||||
\(252\) | 8.71796e6 | − | 1.51000e7i | 0.0343173 | − | 0.0594393i | ||||
\(253\) | −3.35947e8 | + | 2.29045e8i | −1.30421 | + | 0.889198i | ||||
\(254\) | 9.39244e7 | + | 4.11510e8i | 0.359634 | + | 1.57566i | ||||
\(255\) | 1.22736e8 | − | 1.84994e7i | 0.463532 | − | 0.0698663i | ||||
\(256\) | −9.06333e7 | + | 1.13651e8i | −0.337635 | + | 0.423381i | ||||
\(257\) | −3.61235e7 | −0.132747 | −0.0663733 | − | 0.997795i | \(-0.521143\pi\) | ||||
−0.0663733 | + | 0.997795i | \(0.521143\pi\) | |||||||
\(258\) | −2.49583e8 | − | 1.24859e8i | −0.904785 | − | 0.452639i | ||||
\(259\) | 2.99096e7 | 0.106970 | ||||||||
\(260\) | −2.24313e7 | + | 2.81280e7i | −0.0791496 | + | 0.0992504i | ||||
\(261\) | −1.12182e8 | + | 1.69087e7i | −0.390555 | + | 0.0588667i | ||||
\(262\) | 1.18396e7 | + | 5.18729e7i | 0.0406709 | + | 0.178191i | ||||
\(263\) | 3.75082e8 | − | 2.55727e8i | 1.27140 | − | 0.866824i | 0.275860 | − | 0.961198i | \(-0.411037\pi\) |
0.995537 | + | 0.0943744i | \(0.0300851\pi\) | |||||||
\(264\) | −3.46941e8 | + | 6.00920e8i | −1.16049 | + | 2.01003i | ||||
\(265\) | −1.29899e8 | − | 2.24992e8i | −0.428790 | − | 0.742687i | ||||
\(266\) | 1.93760e8 | + | 9.33097e7i | 0.631215 | + | 0.303977i | ||||
\(267\) | −6.14748e6 | + | 1.89625e6i | −0.0197655 | + | 0.00609684i | ||||
\(268\) | 2.45785e6 | − | 3.27978e7i | 0.00779982 | − | 0.104081i | ||||
\(269\) | 2.20627e7 | − | 9.66630e7i | 0.0691075 | − | 0.302780i | −0.928548 | − | 0.371212i | \(-0.878942\pi\) |
0.997656 | + | 0.0684318i | \(0.0217996\pi\) | |||||||
\(270\) | −4.56284e7 | − | 1.16259e8i | −0.141079 | − | 0.359463i | ||||
\(271\) | 7.38851e6 | + | 9.85928e7i | 0.0225509 | + | 0.300921i | 0.997063 | + | 0.0765860i | \(0.0244020\pi\) |
−0.974512 | + | 0.224335i | \(0.927979\pi\) | |||||||
\(272\) | 2.06635e8 | + | 3.11453e7i | 0.622607 | + | 0.0938428i | ||||
\(273\) | 5.11774e8 | − | 4.74857e8i | 1.52233 | − | 1.41252i | ||||
\(274\) | 8.04057e7 | − | 3.87214e7i | 0.236135 | − | 0.113717i | ||||
\(275\) | −4.04141e8 | − | 2.75538e8i | −1.17184 | − | 0.798947i | ||||
\(276\) | 2.19437e7 | − | 5.59117e7i | 0.0628245 | − | 0.160074i | ||||
\(277\) | 5.19709e7 | + | 1.60309e7i | 0.146920 | + | 0.0453188i | 0.367343 | − | 0.930086i | \(-0.380268\pi\) |
−0.220423 | + | 0.975404i | \(0.570744\pi\) | |||||||
\(278\) | 4.03616e7 | + | 3.74501e7i | 0.112671 | + | 0.104543i | ||||
\(279\) | 2.48512e7 | + | 3.11624e7i | 0.0685067 | + | 0.0859046i | ||||
\(280\) | −1.78129e8 | − | 2.23367e8i | −0.484934 | − | 0.608088i | ||||
\(281\) | 3.21643e8 | + | 2.98441e8i | 0.864773 | + | 0.802392i | 0.981638 | − | 0.190755i | \(-0.0610937\pi\) |
−0.116864 | + | 0.993148i | \(0.537284\pi\) | |||||||
\(282\) | −5.60081e8 | − | 1.72762e8i | −1.48723 | − | 0.458751i | ||||
\(283\) | 1.70812e8 | − | 4.35222e8i | 0.447988 | − | 1.14145i | −0.511395 | − | 0.859346i | \(-0.670871\pi\) |
0.959383 | − | 0.282108i | \(-0.0910336\pi\) | |||||||
\(284\) | 1.01924e8 | + | 6.94906e7i | 0.264036 | + | 0.180016i | ||||
\(285\) | 1.12387e8 | − | 5.41230e7i | 0.287581 | − | 0.138492i | ||||
\(286\) | −6.63081e8 | + | 6.15249e8i | −1.67604 | + | 1.55514i | ||||
\(287\) | −6.96824e8 | − | 1.05029e8i | −1.73995 | − | 0.262255i | ||||
\(288\) | −2.90934e6 | − | 3.88224e7i | −0.00717662 | − | 0.0957654i | ||||
\(289\) | −5.15534e7 | − | 1.31356e8i | −0.125636 | − | 0.320116i | ||||
\(290\) | −6.53173e7 | + | 2.86174e8i | −0.157266 | + | 0.689028i | ||||
\(291\) | −2.49430e7 | + | 3.32841e8i | −0.0593366 | + | 0.791791i | ||||
\(292\) | −5.50443e6 | + | 1.69789e6i | −0.0129382 | + | 0.00399090i | ||||
\(293\) | 2.09758e8 | + | 1.01014e8i | 0.487172 | + | 0.234610i | 0.661312 | − | 0.750111i | \(-0.270000\pi\) |
−0.174139 | + | 0.984721i | \(0.555714\pi\) | |||||||
\(294\) | 2.17301e8 | + | 3.76376e8i | 0.498707 | + | 0.863786i | ||||
\(295\) | −1.55002e8 | + | 2.68471e8i | −0.351528 | + | 0.608865i | ||||
\(296\) | 2.99542e7 | − | 2.04224e7i | 0.0671331 | − | 0.0457706i | ||||
\(297\) | 1.61261e8 | + | 7.06532e8i | 0.357176 | + | 1.56489i | ||||
\(298\) | −5.59312e8 | + | 8.43027e7i | −1.22433 | + | 0.184538i | ||||
\(299\) | 3.09167e8 | − | 3.87683e8i | 0.668874 | − | 0.838741i | ||||
\(300\) | 7.22561e7 | 0.154508 | ||||||||
\(301\) | −5.56487e8 | + | 3.67249e8i | −1.17618 | + | 0.776208i | ||||
\(302\) | −2.92076e8 | −0.610199 | ||||||||
\(303\) | 2.20431e8 | − | 2.76411e8i | 0.455221 | − | 0.570830i | ||||
\(304\) | 2.07665e8 | − | 3.13005e7i | 0.423942 | − | 0.0638990i | ||||
\(305\) | 2.34537e7 | + | 1.02757e8i | 0.0473328 | + | 0.207379i | ||||
\(306\) | −7.85345e7 | + | 5.35439e7i | −0.156688 | + | 0.106828i | ||||
\(307\) | −6.76257e6 | + | 1.17131e7i | −0.0133391 | + | 0.0231040i | −0.872618 | − | 0.488403i | \(-0.837579\pi\) |
0.859279 | + | 0.511508i | \(0.170913\pi\) | |||||||
\(308\) | 1.30886e8 | + | 2.26701e8i | 0.255250 | + | 0.442106i | ||||
\(309\) | −4.93609e8 | − | 2.37710e8i | −0.951762 | − | 0.458344i | ||||
\(310\) | 9.85457e7 | − | 3.03973e7i | 0.187876 | − | 0.0579521i | ||||
\(311\) | −3.70930e7 | + | 4.94971e8i | −0.0699246 | + | 0.933079i | 0.846375 | + | 0.532587i | \(0.178780\pi\) |
−0.916300 | + | 0.400493i | \(0.868839\pi\) | |||||||
\(312\) | 1.88302e8 | − | 8.25006e8i | 0.351006 | − | 1.53786i | ||||
\(313\) | −3.39938e8 | − | 8.66147e8i | −0.626605 | − | 1.59656i | −0.792126 | − | 0.610358i | \(-0.791026\pi\) |
0.165520 | − | 0.986206i | \(-0.447070\pi\) | |||||||
\(314\) | −3.42730e7 | − | 4.57342e8i | −0.0624739 | − | 0.833656i | ||||
\(315\) | 1.03526e8 | + | 1.56040e7i | 0.186621 | + | 0.0281286i | ||||
\(316\) | 5.22356e7 | − | 4.84675e7i | 0.0931240 | − | 0.0864065i | ||||
\(317\) | 2.85657e7 | − | 1.37565e7i | 0.0503660 | − | 0.0242550i | −0.408531 | − | 0.912744i | \(-0.633959\pi\) |
0.458897 | + | 0.888489i | \(0.348245\pi\) | |||||||
\(318\) | 7.97250e8 | + | 5.43556e8i | 1.39027 | + | 0.947871i | ||||
\(319\) | 6.22270e8 | − | 1.58552e9i | 1.07328 | − | 2.73466i | ||||
\(320\) | −3.20756e8 | − | 9.89401e7i | −0.547205 | − | 0.168790i | ||||
\(321\) | −7.45045e8 | − | 6.91301e8i | −1.25723 | − | 1.16654i | ||||
\(322\) | 3.87675e8 | + | 4.86129e8i | 0.647101 | + | 0.811439i | ||||
\(323\) | 1.68698e8 | + | 2.11540e8i | 0.278548 | + | 0.349289i | ||||
\(324\) | −1.00335e8 | − | 9.30970e7i | −0.163887 | − | 0.152065i | ||||
\(325\) | 5.70019e8 | + | 1.75828e8i | 0.921081 | + | 0.284116i | ||||
\(326\) | 8.31207e7 | − | 2.11788e8i | 0.132876 | − | 0.338563i | ||||
\(327\) | 4.76755e8 | + | 3.25046e8i | 0.754012 | + | 0.514077i | ||||
\(328\) | −7.69577e8 | + | 3.70609e8i | −1.20419 | + | 0.579905i | ||||
\(329\) | −1.02651e9 | + | 9.52467e8i | −1.58920 | + | 1.47457i | ||||
\(330\) | −6.50554e8 | − | 9.80552e7i | −0.996516 | − | 0.150201i | ||||
\(331\) | 3.15106e7 | + | 4.20480e8i | 0.0477595 | + | 0.637306i | 0.968801 | + | 0.247841i | \(0.0797210\pi\) |
−0.921041 | + | 0.389465i | \(0.872660\pi\) | |||||||
\(332\) | −3.92291e7 | − | 9.99540e7i | −0.0588335 | − | 0.149905i | ||||
\(333\) | −2.95626e6 | + | 1.29522e7i | −0.00438721 | + | 0.0192216i | ||||
\(334\) | −1.58077e7 | + | 2.10939e8i | −0.0232143 | + | 0.309773i | ||||
\(335\) | 1.88715e8 | − | 5.82107e7i | 0.274251 | − | 0.0845953i | ||||
\(336\) | 7.70224e8 | + | 3.70920e8i | 1.10772 | + | 0.533449i | ||||
\(337\) | −6.03280e8 | − | 1.04491e9i | −0.858646 | − | 1.48722i | −0.873221 | − | 0.487325i | \(-0.837973\pi\) |
0.0145742 | − | 0.999894i | \(-0.495361\pi\) | |||||||
\(338\) | 2.31617e8 | − | 4.01172e8i | 0.326258 | − | 0.565096i | ||||
\(339\) | 1.82263e8 | − | 1.24265e8i | 0.254097 | − | 0.173241i | ||||
\(340\) | −1.26299e7 | − | 5.53350e7i | −0.0174270 | − | 0.0763526i | ||||
\(341\) | −5.91723e8 | + | 8.91879e7i | −0.808125 | + | 0.121805i | ||||
\(342\) | −5.95585e7 | + | 7.46840e7i | −0.0805105 | + | 0.100957i | ||||
\(343\) | −1.48628e7 | −0.0198871 | ||||||||
\(344\) | −3.06557e8 | + | 7.47768e8i | −0.406029 | + | 0.990404i | ||||
\(345\) | 3.60656e8 | 0.472853 | ||||||||
\(346\) | 3.23574e8 | − | 4.05748e8i | 0.419959 | − | 0.526612i | ||||
\(347\) | −3.02141e8 | + | 4.55404e7i | −0.388201 | + | 0.0585118i | −0.340243 | − | 0.940338i | \(-0.610509\pi\) |
−0.0479576 | + | 0.998849i | \(0.515271\pi\) | |||||||
\(348\) | 5.59884e7 | + | 2.45301e8i | 0.0712149 | + | 0.312013i | ||||
\(349\) | 1.04029e9 | − | 7.09257e8i | 1.30998 | − | 0.893130i | 0.311611 | − | 0.950210i | \(-0.399131\pi\) |
0.998370 | + | 0.0570798i | \(0.0181789\pi\) | |||||||
\(350\) | −3.73999e8 | + | 6.47785e8i | −0.466265 | + | 0.807594i | ||||
\(351\) | −4.41904e8 | − | 7.65401e8i | −0.545448 | − | 0.944744i | ||||
\(352\) | 5.26607e8 | + | 2.53600e8i | 0.643557 | + | 0.309921i | ||||
\(353\) | −1.53960e9 | + | 4.74903e8i | −1.86293 | + | 0.574637i | −0.865672 | + | 0.500612i | \(0.833108\pi\) |
−0.997256 | + | 0.0740251i | \(0.976416\pi\) | |||||||
\(354\) | 8.60430e7 | − | 1.14816e9i | 0.103087 | − | 1.37560i | ||||
\(355\) | −1.64825e8 | + | 7.22145e8i | −0.195535 | + | 0.856693i | ||||
\(356\) | 1.07476e6 | + | 2.73844e6i | 0.00126251 | + | 0.00321683i | ||||
\(357\) | 8.23077e7 | + | 1.09832e9i | 0.0957419 | + | 1.27759i | ||||
\(358\) | 3.54802e8 | + | 5.34778e7i | 0.408692 | + | 0.0616004i | ||||
\(359\) | 5.74931e8 | − | 5.33458e8i | 0.655821 | − | 0.608512i | −0.280418 | − | 0.959878i | \(-0.590473\pi\) |
0.936238 | + | 0.351366i | \(0.114283\pi\) | |||||||
\(360\) | 1.14334e8 | − | 5.50606e7i | 0.129157 | − | 0.0621988i | ||||
\(361\) | −5.13881e8 | − | 3.50358e8i | −0.574894 | − | 0.391956i | ||||
\(362\) | 4.12516e7 | − | 1.05107e8i | 0.0457047 | − | 0.116454i | ||||
\(363\) | 2.67053e9 | + | 8.23750e8i | 2.93038 | + | 0.903904i | ||||
\(364\) | −2.34022e8 | − | 2.17141e8i | −0.254333 | − | 0.235986i | ||||
\(365\) | −2.15655e7 | − | 2.70423e7i | −0.0232132 | − | 0.0291084i | ||||
\(366\) | −2.44075e8 | − | 3.06060e8i | −0.260219 | − | 0.326305i | ||||
\(367\) | −6.47024e8 | − | 6.00351e8i | −0.683265 | − | 0.633978i | 0.260159 | − | 0.965566i | \(-0.416225\pi\) |
−0.943424 | + | 0.331588i | \(0.892416\pi\) | |||||||
\(368\) | 5.80218e8 | + | 1.78974e8i | 0.606909 | + | 0.187207i | ||||
\(369\) | 1.14356e8 | − | 2.91375e8i | 0.118486 | − | 0.301898i | ||||
\(370\) | 2.84010e7 | + | 1.93635e7i | 0.0291493 | + | 0.0198736i | ||||
\(371\) | 2.07703e9 | − | 1.00024e9i | 2.11170 | − | 1.01694i | ||||
\(372\) | 6.48005e7 | − | 6.01261e7i | 0.0652647 | − | 0.0605568i | ||||
\(373\) | 1.21771e9 | + | 1.83540e8i | 1.21496 | + | 0.183126i | 0.725082 | − | 0.688662i | \(-0.241802\pi\) |
0.489882 | + | 0.871789i | \(0.337040\pi\) | |||||||
\(374\) | −1.06642e8 | − | 1.42304e9i | −0.105409 | − | 1.40659i | ||||
\(375\) | 3.74421e8 | + | 9.54009e8i | 0.366649 | + | 0.934207i | ||||
\(376\) | −3.77696e8 | + | 1.65479e9i | −0.366425 | + | 1.60541i | ||||
\(377\) | −1.55230e8 | + | 2.07140e9i | −0.149204 | + | 1.99099i | ||||
\(378\) | 1.05900e9 | − | 3.26659e8i | 1.00850 | − | 0.311081i | ||||
\(379\) | −4.23795e7 | − | 2.04089e7i | −0.0399870 | − | 0.0192567i | 0.413783 | − | 0.910375i | \(-0.364207\pi\) |
−0.453770 | + | 0.891119i | \(0.649921\pi\) | |||||||
\(380\) | −2.85205e7 | − | 4.93989e7i | −0.0266633 | − | 0.0461822i | ||||
\(381\) | −1.08625e9 | + | 1.88144e9i | −1.00622 | + | 1.74282i | ||||
\(382\) | 6.54690e6 | − | 4.46360e6i | 0.00600916 | − | 0.00409698i | ||||
\(383\) | −4.31533e8 | − | 1.89067e9i | −0.392481 | − | 1.71957i | −0.655863 | − | 0.754880i | \(-0.727695\pi\) |
0.263382 | − | 0.964692i | \(-0.415162\pi\) | |||||||
\(384\) | 7.77465e8 | − | 1.17184e8i | 0.700683 | − | 0.105611i | ||||
\(385\) | −9.80018e8 | + | 1.22890e9i | −0.875228 | + | 1.09750i | ||||
\(386\) | −1.00523e9 | −0.889633 | ||||||||
\(387\) | −1.04032e8 | − | 2.77283e8i | −0.0912390 | − | 0.243184i | ||||
\(388\) | 1.52627e8 | 0.132654 | ||||||||
\(389\) | 1.87694e8 | − | 2.35361e8i | 0.161669 | − | 0.202727i | −0.694398 | − | 0.719591i | \(-0.744329\pi\) |
0.856067 | + | 0.516864i | \(0.172901\pi\) | |||||||
\(390\) | 7.93382e8 | − | 1.19583e8i | 0.677261 | − | 0.102081i | ||||
\(391\) | 1.74075e8 | + | 7.62672e8i | 0.147271 | + | 0.645237i | ||||
\(392\) | 1.03987e9 | − | 7.08974e8i | 0.871926 | − | 0.594469i | ||||
\(393\) | −1.36927e8 | + | 2.37165e8i | −0.113793 | + | 0.197095i | ||||
\(394\) | 4.41977e8 | + | 7.65527e8i | 0.364052 | + | 0.630556i | ||||
\(395\) | 3.85498e8 | + | 1.85646e8i | 0.314726 | + | 0.151564i | ||||
\(396\) | −1.11109e8 | + | 3.42725e7i | −0.0899115 | + | 0.0277340i | ||||
\(397\) | 1.02588e8 | − | 1.36894e9i | 0.0822866 | − | 1.09804i | −0.791319 | − | 0.611404i | \(-0.790605\pi\) |
0.873605 | − | 0.486635i | \(-0.161776\pi\) | |||||||
\(398\) | −1.39963e8 | + | 6.13220e8i | −0.111282 | + | 0.487557i | ||||
\(399\) | 4.04392e8 | + | 1.03037e9i | 0.318712 | + | 0.812064i | ||||
\(400\) | 5.45865e7 | + | 7.28406e8i | 0.0426457 | + | 0.569067i | ||||
\(401\) | 6.70359e8 | + | 1.01040e8i | 0.519161 | + | 0.0782510i | 0.403396 | − | 0.915026i | \(-0.367830\pi\) |
0.115765 | + | 0.993277i | \(0.463068\pi\) | |||||||
\(402\) | −5.37687e8 | + | 4.98901e8i | −0.412799 | + | 0.383021i | ||||
\(403\) | 6.57514e8 | − | 3.16642e8i | 0.500423 | − | 0.240991i | ||||
\(404\) | −1.33576e8 | − | 9.10703e7i | −0.100784 | − | 0.0687135i | ||||
\(405\) | 3.00259e8 | − | 7.65047e8i | 0.224597 | − | 0.572263i | ||||
\(406\) | −2.48896e9 | − | 7.67742e8i | −1.84576 | − | 0.569343i | ||||
\(407\) | −1.46213e8 | − | 1.35666e8i | −0.107499 | − | 0.0997446i | ||||
\(408\) | 8.32368e8 | + | 1.04376e9i | 0.606743 | + | 0.760832i | ||||
\(409\) | −8.50718e8 | − | 1.06677e9i | −0.614829 | − | 0.770971i | 0.372778 | − | 0.927921i | \(-0.378405\pi\) |
−0.987607 | + | 0.156950i | \(0.949834\pi\) | |||||||
\(410\) | −5.93680e8 | − | 5.50855e8i | −0.425411 | − | 0.394724i | ||||
\(411\) | 4.38927e8 | + | 1.35391e8i | 0.311850 | + | 0.0961930i | ||||
\(412\) | −9.15273e7 | + | 2.33208e8i | −0.0644778 | + | 0.164287i | ||||
\(413\) | −2.27284e9 | − | 1.54960e9i | −1.58761 | − | 1.08241i | ||||
\(414\) | −2.48834e8 | + | 1.19832e8i | −0.172349 | + | 0.0829988i | ||||
\(415\) | 4.72634e8 | − | 4.38541e8i | 0.324606 | − | 0.301191i | ||||
\(416\) | −7.04851e8 | − | 1.06239e8i | −0.480033 | − | 0.0723533i | ||||
\(417\) | 2.11778e7 | + | 2.82598e8i | 0.0143022 | + | 0.190850i | ||||
\(418\) | −5.23952e8 | − | 1.33501e9i | −0.350893 | − | 0.894060i | ||||
\(419\) | 782479. | − | 3.42826e6i | 0.000519665 | − | 0.00227680i | −0.974667 | − | 0.223659i | \(-0.928200\pi\) |
0.975187 | + | 0.221382i | \(0.0710569\pi\) | |||||||
\(420\) | 1.73519e7 | − | 2.31545e8i | 0.0114281 | − | 0.152498i | ||||
\(421\) | −1.59121e8 | + | 4.90822e7i | −0.103930 | + | 0.0320580i | −0.346284 | − | 0.938130i | \(-0.612557\pi\) |
0.242354 | + | 0.970188i | \(0.422080\pi\) | |||||||
\(422\) | −5.23328e7 | − | 2.52022e7i | −0.0338985 | − | 0.0163247i | ||||
\(423\) | −3.11001e8 | − | 5.38669e8i | −0.199788 | − | 0.346044i | ||||
\(424\) | 1.39715e9 | − | 2.41994e9i | 0.890149 | − | 1.54178i | ||||
\(425\) | −7.77558e8 | + | 5.30130e8i | −0.491328 | + | 0.334982i | ||||
\(426\) | −6.12176e8 | − | 2.68212e9i | −0.383656 | − | 1.68091i | ||||
\(427\) | −9.24824e8 | + | 1.39395e8i | −0.574859 | + | 0.0866461i | ||||
\(428\) | −2.89772e8 | + | 3.63362e8i | −0.178650 | + | 0.224020i | ||||
\(429\) | −4.65568e9 | −2.84697 | ||||||||
\(430\) | −7.66174e8 | − | 1.15441e7i | −0.464716 | − | 0.00700197i | ||||
\(431\) | −2.71692e9 | −1.63458 | −0.817290 | − | 0.576226i | \(-0.804525\pi\) | ||||
−0.817290 | + | 0.576226i | \(0.804525\pi\) | |||||||
\(432\) | 6.74763e8 | − | 8.46126e8i | 0.402678 | − | 0.504943i | ||||
\(433\) | −6.09826e8 | + | 9.19165e7i | −0.360993 | + | 0.0544109i | −0.327035 | − | 0.945012i | \(-0.606049\pi\) |
−0.0339580 | + | 0.999423i | \(0.510811\pi\) | |||||||
\(434\) | 2.03630e8 | + | 8.92160e8i | 0.119571 | + | 0.523876i | ||||
\(435\) | −1.24829e9 | + | 8.51067e8i | −0.727113 | + | 0.495737i | ||||
\(436\) | 1.31928e8 | − | 2.28507e8i | 0.0762317 | − | 0.132037i | ||||
\(437\) | 3.93093e8 | + | 6.80856e8i | 0.225325 | + | 0.390275i | ||||
\(438\) | 1.15742e8 | + | 5.57386e7i | 0.0658163 | + | 0.0316955i | ||||
\(439\) | 2.27739e9 | − | 7.02480e8i | 1.28473 | − | 0.396286i | 0.424143 | − | 0.905595i | \(-0.360575\pi\) |
0.860583 | + | 0.509309i | \(0.170099\pi\) | |||||||
\(440\) | −1.42377e8 | + | 1.89989e9i | −0.0796814 | + | 1.06327i | ||||
\(441\) | −1.02628e8 | + | 4.49643e8i | −0.0569811 | + | 0.249651i | ||||
\(442\) | 6.35815e8 | + | 1.62003e9i | 0.350229 | + | 0.892370i | ||||
\(443\) | 1.79937e8 | + | 2.40109e9i | 0.0983348 | + | 1.31219i | 0.800138 | + | 0.599816i | \(0.204760\pi\) |
−0.701803 | + | 0.712371i | \(0.747621\pi\) | |||||||
\(444\) | 2.91353e7 | + | 4.39145e6i | 0.0157972 | + | 0.00238104i | ||||
\(445\) | −1.29487e7 | + | 1.20147e7i | −0.00696575 | + | 0.00646327i | ||||
\(446\) | −1.79858e9 | + | 8.66149e8i | −0.959968 | + | 0.462296i | ||||
\(447\) | −2.40541e9 | − | 1.63998e9i | −1.27383 | − | 0.868485i | ||||
\(448\) | 1.08819e9 | − | 2.77267e9i | 0.571785 | − | 1.45688i | ||||
\(449\) | 8.88804e8 | + | 2.74160e8i | 0.463387 | + | 0.142936i | 0.517653 | − | 0.855591i | \(-0.326806\pi\) |
−0.0542662 | + | 0.998527i | \(0.517282\pi\) | |||||||
\(450\) | −2.43555e8 | − | 2.25986e8i | −0.125995 | − | 0.116906i | ||||
\(451\) | 2.93001e9 | + | 3.67412e9i | 1.50401 | + | 1.88597i | ||||
\(452\) | −6.28929e7 | − | 7.88652e7i | −0.0320344 | − | 0.0401699i | ||||
\(453\) | −1.10200e9 | − | 1.02251e9i | −0.556978 | − | 0.516800i | ||||
\(454\) | 2.24539e9 | + | 6.92611e8i | 1.12615 | + | 0.347371i | ||||
\(455\) | 7.00329e8 | − | 1.78441e9i | 0.348548 | − | 0.888085i | ||||
\(456\) | 1.10854e9 | + | 7.55789e8i | 0.547488 | + | 0.373271i | ||||
\(457\) | 1.56296e9 | − | 7.52682e8i | 0.766022 | − | 0.368897i | −0.00971495 | − | 0.999953i | \(-0.503092\pi\) |
0.775737 | + | 0.631056i | \(0.217378\pi\) | |||||||
\(458\) | −1.28301e8 | + | 1.19046e8i | −0.0624024 | + | 0.0579010i | ||||
\(459\) | 1.37874e9 | + | 2.07811e8i | 0.665484 | + | 0.100306i | ||||
\(460\) | −1.23245e7 | − | 1.64458e8i | −0.00590358 | − | 0.0787778i | ||||
\(461\) | 6.51578e8 | + | 1.66019e9i | 0.309751 | + | 0.789233i | 0.997967 | + | 0.0637275i | \(0.0202988\pi\) |
−0.688216 | + | 0.725506i | \(0.741606\pi\) | |||||||
\(462\) | 1.29906e9 | − | 5.69154e9i | 0.612889 | − | 2.68524i | ||||
\(463\) | −1.23108e8 | + | 1.64276e9i | −0.0576437 | + | 0.769202i | 0.891231 | + | 0.453550i | \(0.149842\pi\) |
−0.948875 | + | 0.315653i | \(0.897777\pi\) | |||||||
\(464\) | −2.43056e9 | + | 7.49729e8i | −1.12952 | + | 0.348410i | ||||
\(465\) | 4.78228e8 | + | 2.30302e8i | 0.220572 | + | 0.106222i | ||||
\(466\) | 7.97838e8 | + | 1.38190e9i | 0.365228 | + | 0.632593i | ||||
\(467\) | −6.97675e7 | + | 1.20841e8i | −0.0316989 | + | 0.0549041i | −0.881440 | − | 0.472297i | \(-0.843425\pi\) |
0.849741 | + | 0.527201i | \(0.176758\pi\) | |||||||
\(468\) | 1.17163e8 | − | 7.98801e7i | 0.0528358 | − | 0.0360229i | ||||
\(469\) | 3.89950e8 | + | 1.70848e9i | 0.174544 | + | 0.764726i | ||||
\(470\) | −1.59136e9 | + | 2.39859e8i | −0.707012 | + | 0.106565i | ||||
\(471\) | 1.47176e9 | − | 1.84553e9i | 0.649029 | − | 0.813857i | ||||
\(472\) | −3.33430e9 | −1.45951 | ||||||||
\(473\) | 4.38616e9 | + | 7.28850e8i | 1.90577 | + | 0.316683i | ||||
\(474\) | −1.58915e9 | −0.685396 | ||||||||
\(475\) | −5.89680e8 | + | 7.39435e8i | −0.252458 | + | 0.316572i | ||||
\(476\) | 4.98019e8 | − | 7.50643e7i | 0.211652 | − | 0.0319013i | ||||
\(477\) | 2.27858e8 | + | 9.98310e8i | 0.0961279 | + | 0.421164i | ||||
\(478\) | 6.98810e8 | − | 4.76441e8i | 0.292659 | − | 0.199531i | ||||
\(479\) | 6.26871e8 | − | 1.08577e9i | 0.260618 | − | 0.451403i | −0.705789 | − | 0.708423i | \(-0.749407\pi\) |
0.966406 | + | 0.257020i | \(0.0827405\pi\) | |||||||
\(480\) | −2.59224e8 | − | 4.48989e8i | −0.106987 | − | 0.185307i | ||||
\(481\) | 2.19159e8 | + | 1.05541e8i | 0.0897949 | + | 0.0432429i | ||||
\(482\) | 9.42830e8 | − | 2.90825e8i | 0.383503 | − | 0.118295i | ||||
\(483\) | −2.39158e8 | + | 3.19134e9i | −0.0965762 | + | 1.28872i | ||||
\(484\) | 2.84370e8 | − | 1.24591e9i | 0.114005 | − | 0.499490i | ||||
\(485\) | 3.34819e8 | + | 8.53106e8i | 0.133265 | + | 0.339553i | ||||
\(486\) | 8.64805e7 | + | 1.15400e9i | 0.0341736 | + | 0.456015i | ||||
\(487\) | 2.55654e9 | + | 3.85337e8i | 1.00300 | + | 0.151178i | 0.629953 | − | 0.776634i | \(-0.283074\pi\) |
0.373049 | + | 0.927812i | \(0.378312\pi\) | |||||||
\(488\) | −8.31023e8 | + | 7.71077e8i | −0.323701 | + | 0.300350i | ||||
\(489\) | 1.05505e9 | − | 5.08084e8i | 0.408029 | − | 0.196496i | ||||
\(490\) | 9.85954e8 | + | 6.72212e8i | 0.378591 | + | 0.258119i | ||||
\(491\) | 3.28647e8 | − | 8.37380e8i | 0.125298 | − | 0.319255i | −0.854436 | − | 0.519557i | \(-0.826097\pi\) |
0.979734 | + | 0.200302i | \(0.0641923\pi\) | |||||||
\(492\) | −6.63364e8 | − | 2.04621e8i | −0.251116 | − | 0.0774589i | ||||
\(493\) | −2.40223e9 | − | 2.22895e9i | −0.902924 | − | 0.837791i | ||||
\(494\) | 1.09049e9 | + | 1.36743e9i | 0.406983 | + | 0.510341i | ||||
\(495\) | −4.35306e8 | − | 5.45857e8i | −0.161316 | − | 0.202284i | ||||
\(496\) | 6.55079e8 | + | 6.07825e8i | 0.241051 | + | 0.223662i | ||||
\(497\) | −6.28076e9 | − | 1.93736e9i | −2.29491 | − | 0.707885i | ||||
\(498\) | −8.74867e8 | + | 2.22912e9i | −0.317424 | + | 0.808782i | ||||
\(499\) | 2.48588e9 | + | 1.69484e9i | 0.895629 | + | 0.610629i | 0.921220 | − | 0.389043i | \(-0.127194\pi\) |
−0.0255907 | + | 0.999673i | \(0.508147\pi\) | |||||||
\(500\) | 4.22231e8 | − | 2.03336e8i | 0.151062 | − | 0.0727476i | ||||
\(501\) | −7.98102e8 | + | 7.40530e8i | −0.283548 | + | 0.263094i | ||||
\(502\) | −1.04960e9 | − | 1.58202e8i | −0.370307 | − | 0.0558148i | ||||
\(503\) | −1.01176e8 | − | 1.35010e9i | −0.0354478 | − | 0.473018i | −0.986475 | − | 0.163911i | \(-0.947589\pi\) |
0.951027 | − | 0.309107i | \(-0.100030\pi\) | |||||||
\(504\) | 4.11398e8 | + | 1.04822e9i | 0.143138 | + | 0.364710i | ||||
\(505\) | 2.16010e8 | − | 9.46400e8i | 0.0746369 | − | 0.327006i | ||||
\(506\) | 3.09866e8 | − | 4.13487e9i | 0.106328 | − | 1.41885i | ||||
\(507\) | 2.27832e9 | − | 7.02769e8i | 0.776403 | − | 0.239489i | ||||
\(508\) | 8.95050e8 | + | 4.31034e8i | 0.302918 | + | 0.145877i | ||||
\(509\) | 1.76503e9 | + | 3.05712e9i | 0.593253 | + | 1.02754i | 0.993791 | + | 0.111264i | \(0.0354898\pi\) |
−0.400538 | + | 0.916280i | \(0.631177\pi\) | |||||||
\(510\) | −6.32895e8 | + | 1.09621e9i | −0.211269 | + | 0.365929i | ||||
\(511\) | 2.53590e8 | − | 1.72895e8i | 0.0840734 | − | 0.0573203i | ||||
\(512\) | −7.56523e8 | − | 3.31454e9i | −0.249102 | − | 1.09139i | ||||
\(513\) | 1.38561e9 | − | 2.08847e8i | 0.453138 | − | 0.0682996i | ||||
\(514\) | 2.29685e8 | − | 2.88015e8i | 0.0746038 | − | 0.0935502i | ||||
\(515\) | −1.50430e9 | −0.485297 | ||||||||
\(516\) | −5.96001e8 | + | 2.76036e8i | −0.190974 | + | 0.0884488i | ||||
\(517\) | 9.33835e9 | 2.97203 | ||||||||
\(518\) | −1.90175e8 | + | 2.38472e8i | −0.0601173 | + | 0.0753847i | ||||
\(519\) | 2.64129e9 | − | 3.98111e8i | 0.829337 | − | 0.125002i | ||||
\(520\) | −5.17030e8 | − | 2.26525e9i | −0.161251 | − | 0.706489i | ||||
\(521\) | −1.55297e9 | + | 1.05880e9i | −0.481095 | + | 0.328005i | −0.779466 | − | 0.626445i | \(-0.784509\pi\) |
0.298371 | + | 0.954450i | \(0.403557\pi\) | |||||||
\(522\) | 5.78475e8 | − | 1.00195e9i | 0.178007 | − | 0.308318i | ||||
\(523\) | −5.86063e8 | − | 1.01509e9i | −0.179138 | − | 0.310276i | 0.762447 | − | 0.647050i | \(-0.223998\pi\) |
−0.941586 | + | 0.336774i | \(0.890664\pi\) | |||||||
\(524\) | 1.12826e8 | + | 5.43340e7i | 0.0342569 | + | 0.0164973i | ||||
\(525\) | −3.67888e9 | + | 1.13478e9i | −1.10958 | + | 0.342260i | ||||
\(526\) | −3.45963e8 | + | 4.61655e9i | −0.103652 | + | 1.38314i | ||||
\(527\) | −2.56193e8 | + | 1.12246e9i | −0.0762484 | + | 0.334066i | ||||
\(528\) | −2.08279e9 | − | 5.30686e9i | −0.615781 | − | 1.56898i | ||||
\(529\) | −8.45773e7 | − | 1.12861e9i | −0.0248404 | − | 0.331472i | ||||
\(530\) | 2.61982e9 | + | 3.94874e8i | 0.764373 | + | 0.115211i | ||||
\(531\) | 8.95693e8 | − | 8.31082e8i | 0.259614 | − | 0.240887i | ||||
\(532\) | 4.56030e8 | − | 2.19612e8i | 0.131311 | − | 0.0632362i | ||||
\(533\) | −4.73527e9 | − | 3.22845e9i | −1.35456 | − | 0.923526i | ||||
\(534\) | 2.39687e7 | − | 6.10712e7i | 0.00681161 | − | 0.0173557i | ||||
\(535\) | −2.66668e9 | − | 8.22563e8i | −0.752893 | − | 0.232237i | ||||
\(536\) | 1.55709e9 | + | 1.44477e9i | 0.436754 | + | 0.405249i | ||||
\(537\) | 1.15145e9 | + | 1.44387e9i | 0.320874 | + | 0.402364i | ||||
\(538\) | 6.30420e8 | + | 7.90522e8i | 0.174539 | + | 0.218865i | ||||
\(539\) | −5.07585e9 | − | 4.70970e9i | −1.39620 | − | 1.29548i | ||||
\(540\) | −2.80886e8 | − | 8.66419e7i | −0.0767631 | − | 0.0236783i | ||||
\(541\) | −8.35886e8 | + | 2.12980e9i | −0.226964 | + | 0.578294i | −0.998309 | − | 0.0581222i | \(-0.981489\pi\) |
0.771346 | + | 0.636416i | \(0.219584\pi\) | |||||||
\(542\) | −8.33067e8 | − | 5.67976e8i | −0.224741 | − | 0.153226i | ||||
\(543\) | 5.23605e8 | − | 2.52155e8i | 0.140347 | − | 0.0675878i | ||||
\(544\) | 8.24350e8 | − | 7.64885e8i | 0.219541 | − | 0.203704i | ||||
\(545\) | 1.56665e9 | + | 2.36134e8i | 0.414557 | + | 0.0624844i | ||||
\(546\) | 5.32050e8 | + | 7.09971e9i | 0.139887 | + | 1.86666i | ||||
\(547\) | −8.59319e8 | − | 2.18951e9i | −0.224491 | − | 0.571993i | 0.773606 | − | 0.633667i | \(-0.218451\pi\) |
−0.998096 | + | 0.0616742i | \(0.980356\pi\) | |||||||
\(548\) | 4.67389e7 | − | 2.04776e8i | 0.0121324 | − | 0.0531555i | ||||
\(549\) | 3.10452e7 | − | 4.14269e8i | 0.00800738 | − | 0.106851i | ||||
\(550\) | 4.76655e9 | − | 1.47028e9i | 1.22161 | − | 0.376818i | ||||
\(551\) | −2.96722e9 | − | 1.42894e9i | −0.755647 | − | 0.363901i | ||||
\(552\) | 1.93955e9 | + | 3.35940e9i | 0.490811 | + | 0.850109i | ||||
\(553\) | −1.89836e9 | + | 3.28806e9i | −0.477355 | + | 0.826803i | ||||
\(554\) | −4.58263e8 | + | 3.12439e8i | −0.114507 | + | 0.0780694i | ||||
\(555\) | 3.93686e7 | + | 1.72485e8i | 0.00977518 | + | 0.0428278i | ||||
\(556\) | 1.28140e8 | − | 1.93140e7i | 0.0316172 | − | 0.00476553i | ||||
\(557\) | 2.13663e9 | − | 2.67924e9i | 0.523884 | − | 0.656930i | −0.447544 | − | 0.894262i | \(-0.647701\pi\) |
0.971429 | + | 0.237332i | \(0.0762728\pi\) | |||||||
\(558\) | −4.06473e8 | −0.0990402 | ||||||||
\(559\) | −5.37349e9 | + | 7.27308e8i | −1.30111 | + | 0.176107i | ||||
\(560\) | 2.34729e9 | 0.564819 | ||||||||
\(561\) | 4.57946e9 | − | 5.74246e9i | 1.09507 | − | 1.37318i | ||||
\(562\) | −4.42461e9 | + | 6.66902e8i | −1.05147 | + | 0.158484i | ||||
\(563\) | −1.43282e8 | − | 6.27761e8i | −0.0338387 | − | 0.148257i | 0.955186 | − | 0.296005i | \(-0.0956546\pi\) |
−0.989025 | + | 0.147748i | \(0.952797\pi\) | |||||||
\(564\) | −1.13978e9 | + | 7.77092e8i | −0.267514 | + | 0.182388i | ||||
\(565\) | 3.02847e8 | − | 5.24546e8i | 0.0706405 | − | 0.122353i | ||||
\(566\) | 2.38398e9 | + | 4.12918e9i | 0.552644 | + | 0.957208i | ||||
\(567\) | 6.57058e9 | + | 3.16422e9i | 1.51378 | + | 0.728998i | ||||
\(568\) | −7.61296e9 | + | 2.34829e9i | −1.74315 | + | 0.537690i | ||||
\(569\) | 2.16049e8 | − | 2.88298e9i | 0.0491654 | − | 0.656067i | −0.917123 | − | 0.398605i | \(-0.869495\pi\) |
0.966288 | − | 0.257462i | \(-0.0828863\pi\) | |||||||
\(570\) | −2.83069e8 | + | 1.24021e9i | −0.0640221 | + | 0.280499i | ||||
\(571\) | 2.76925e9 | + | 7.05593e9i | 0.622495 | + | 1.58609i | 0.798695 | + | 0.601737i | \(0.205524\pi\) |
−0.176200 | + | 0.984354i | \(0.556380\pi\) | |||||||
\(572\) | 1.59095e8 | + | 2.12298e9i | 0.0355444 | + | 0.474307i | ||||
\(573\) | 4.03277e7 | + | 6.07842e6i | 0.00895492 | + | 0.00134974i | ||||
\(574\) | 5.26804e9 | − | 4.88802e9i | 1.16267 | − | 1.07880i | ||||
\(575\) | −2.46367e9 | + | 1.18644e9i | −0.540436 | + | 0.260260i | ||||
\(576\) | 1.09313e9 | + | 7.45287e8i | 0.238339 | + | 0.162497i | ||||
\(577\) | 2.38035e8 | − | 6.06503e8i | 0.0515852 | − | 0.131437i | −0.902758 | − | 0.430148i | \(-0.858461\pi\) |
0.954344 | + | 0.298711i | \(0.0965566\pi\) | |||||||
\(578\) | 1.37510e9 | + | 4.24164e8i | 0.296202 | + | 0.0913663i | ||||
\(579\) | −3.79273e9 | − | 3.51914e9i | −0.812040 | − | 0.753463i | ||||
\(580\) | 4.30742e8 | + | 5.40133e8i | 0.0916682 | + | 0.114948i | ||||
\(581\) | 3.56711e9 | + | 4.47301e9i | 0.754570 | + | 0.946201i | ||||
\(582\) | −2.49517e9 | − | 2.31518e9i | −0.524650 | − | 0.486804i | ||||
\(583\) | −1.46905e10 | − | 4.53141e9i | −3.07040 | − | 0.947094i | ||||
\(584\) | 1.35915e8 | − | 3.46305e8i | 0.0282372 | − | 0.0719471i | ||||
\(585\) | 7.03510e8 | + | 4.79645e8i | 0.145286 | + | 0.0990545i | ||||
\(586\) | −2.13911e9 | + | 1.03014e9i | −0.439127 | + | 0.211473i | ||||
\(587\) | 4.03476e9 | − | 3.74371e9i | 0.823351 | − | 0.763958i | −0.151110 | − | 0.988517i | \(-0.548285\pi\) |
0.974460 | + | 0.224559i | \(0.0720942\pi\) | |||||||
\(588\) | 1.01145e9 | + | 1.52451e8i | 0.205174 | + | 0.0309250i | ||||
\(589\) | 8.64673e7 | + | 1.15383e9i | 0.0174361 | + | 0.232668i | ||||
\(590\) | −1.15499e9 | − | 2.94287e9i | −0.231524 | − | 0.589914i | ||||
\(591\) | −1.01240e9 | + | 4.43561e9i | −0.201742 | + | 0.883889i | ||||
\(592\) | −2.22592e7 | + | 2.97028e8i | −0.00440943 | + | 0.0588398i | ||||
\(593\) | −7.85564e9 | + | 2.42314e9i | −1.54700 | + | 0.477186i | −0.946572 | − | 0.322493i | \(-0.895479\pi\) |
−0.600427 | + | 0.799679i | \(0.705003\pi\) | |||||||
\(594\) | −6.65859e9 | − | 3.20661e9i | −1.30356 | − | 0.627759i | ||||
\(595\) | 1.51208e9 | + | 2.61900e9i | 0.294283 | + | 0.509714i | ||||
\(596\) | −6.65629e8 | + | 1.15290e9i | −0.128787 | + | 0.223065i | ||||
\(597\) | −2.67486e9 | + | 1.82369e9i | −0.514506 | + | 0.350784i | ||||
\(598\) | 1.12525e9 | + | 4.93003e9i | 0.215176 | + | 0.942747i | ||||
\(599\) | 1.30484e9 | − | 1.96674e8i | 0.248064 | − | 0.0373897i | −0.0238329 | − | 0.999716i | \(-0.507587\pi\) |
0.271897 | + | 0.962326i | \(0.412349\pi\) | |||||||
\(600\) | −2.90953e9 | + | 3.64843e9i | −0.549912 | + | 0.689567i | ||||
\(601\) | 2.48690e9 | 0.467302 | 0.233651 | − | 0.972320i | \(-0.424933\pi\) | ||||
0.233651 | + | 0.972320i | \(0.424933\pi\) | |||||||
\(602\) | 6.10215e8 | − | 6.77200e9i | 0.113998 | − | 1.26511i | ||||
\(603\) | −7.78393e8 | −0.144573 | ||||||||
\(604\) | −4.28603e8 | + | 5.37451e8i | −0.0791454 | + | 0.0992452i | ||||
\(605\) | 7.58780e9 | − | 1.14368e9i | 1.39307 | − | 0.209971i | ||||
\(606\) | 8.02281e8 | + | 3.51502e9i | 0.146444 | + | 0.641614i | ||||
\(607\) | 6.68323e9 | − | 4.55655e9i | 1.21290 | − | 0.826943i | 0.223867 | − | 0.974620i | \(-0.428132\pi\) |
0.989036 | + | 0.147677i | \(0.0471795\pi\) | |||||||
\(608\) | 5.65076e8 | − | 9.78740e8i | 0.101963 | − | 0.176606i | ||||
\(609\) | −6.70309e9 | − | 1.16101e10i | −1.20258 | − | 2.08293i | ||||
\(610\) | −9.68420e8 | − | 4.66366e8i | −0.172746 | − | 0.0831903i | ||||
\(611\) | −1.08826e10 | + | 3.35684e9i | −1.93014 | + | 0.595369i | ||||
\(612\) | −1.67178e7 | + | 2.23084e8i | −0.00294816 | + | 0.0393404i | ||||
\(613\) | 1.06450e9 | − | 4.66387e9i | 0.186652 | − | 0.817777i | −0.791713 | − | 0.610893i | \(-0.790811\pi\) |
0.978365 | − | 0.206884i | \(-0.0663323\pi\) | |||||||
\(614\) | −5.03910e7 | − | 1.28394e8i | −0.00878544 | − | 0.0223849i | ||||
\(615\) | −3.11505e8 | − | 4.15674e9i | −0.0540010 | − | 0.720593i | ||||
\(616\) | −1.67172e10 | − | 2.51972e9i | −2.88159 | − | 0.434329i | ||||
\(617\) | −1.48944e9 | + | 1.38200e9i | −0.255285 | + | 0.236870i | −0.797425 | − | 0.603418i | \(-0.793805\pi\) |
0.542140 | + | 0.840288i | \(0.317614\pi\) | |||||||
\(618\) | 5.03380e9 | − | 2.42415e9i | 0.857899 | − | 0.413143i | ||||
\(619\) | 7.99966e9 | + | 5.45407e9i | 1.35567 | + | 0.924281i | 0.999947 | − | 0.0103106i | \(-0.00328204\pi\) |
0.355724 | + | 0.934591i | \(0.384234\pi\) | |||||||
\(620\) | 8.86752e7 | − | 2.25941e8i | 0.0149428 | − | 0.0380736i | ||||
\(621\) | 3.87140e9 | + | 1.19417e9i | 0.648706 | + | 0.200099i | ||||
\(622\) | −3.71060e9 | − | 3.44293e9i | −0.618269 | − | 0.573670i | ||||
\(623\) | −9.77279e7 | − | 1.22547e8i | −0.0161924 | − | 0.0203046i | ||||
\(624\) | 4.33486e9 | + | 5.43574e9i | 0.714215 | + | 0.895597i | ||||
\(625\) | −1.22187e9 | − | 1.13373e9i | −0.200192 | − | 0.185751i | ||||
\(626\) | 9.06729e9 | + | 2.79689e9i | 1.47730 | + | 0.455685i | ||||
\(627\) | 2.69676e9 | − | 6.87123e9i | 0.436924 | − | 1.11326i | ||||
\(628\) | −8.91851e8 | − | 6.08054e8i | −0.143692 | − | 0.0979678i | ||||
\(629\) | −3.45749e8 | + | 1.66504e8i | −0.0553967 | + | 0.0266776i | ||||
\(630\) | −7.82661e8 | + | 7.26204e8i | −0.124704 | + | 0.115709i | ||||
\(631\) | −1.05100e10 | − | 1.58413e9i | −1.66533 | − | 0.251008i | −0.752276 | − | 0.658848i | \(-0.771044\pi\) |
−0.913053 | + | 0.407840i | \(0.866282\pi\) | |||||||
\(632\) | 3.43911e8 | + | 4.58917e9i | 0.0541921 | + | 0.723143i | ||||
\(633\) | −1.09223e8 | − | 2.78296e8i | −0.0171160 | − | 0.0436107i | ||||
\(634\) | −7.19481e7 | + | 3.15225e8i | −0.0112126 | + | 0.0491257i | ||||
\(635\) | −4.45774e8 | + | 5.94843e9i | −0.0690886 | + | 0.921923i | ||||
\(636\) | 2.17011e9 | − | 6.69392e8i | 0.334490 | − | 0.103176i | ||||
\(637\) | 7.60821e9 | + | 3.66392e9i | 1.16626 | + | 0.561640i | ||||
\(638\) | 8.68487e9 | + | 1.50426e10i | 1.32401 | + | 2.29325i | ||||
\(639\) | 1.45975e9 | − | 2.52837e9i | 0.221323 | − | 0.383343i | ||||
\(640\) | 1.78371e9 | − | 1.21611e9i | 0.268964 | − | 0.183377i | ||||
\(641\) | −1.91850e9 | − | 8.40548e9i | −0.287712 | − | 1.26055i | −0.887656 | − | 0.460507i | \(-0.847668\pi\) |
0.599944 | − | 0.800042i | \(-0.295189\pi\) | |||||||
\(642\) | 1.02490e10 | − | 1.54479e9i | 1.52866 | − | 0.230408i | ||||
\(643\) | 4.58409e9 | − | 5.74827e9i | 0.680010 | − | 0.852705i | −0.315345 | − | 0.948977i | \(-0.602120\pi\) |
0.995355 | + | 0.0962718i | \(0.0306918\pi\) | |||||||
\(644\) | 1.46342e9 | 0.215908 | ||||||||
\(645\) | −2.85035e9 | − | 2.72580e9i | −0.418254 | − | 0.399977i | ||||
\(646\) | −2.75926e9 | −0.402698 | ||||||||
\(647\) | 6.93533e9 | − | 8.69663e9i | 1.00670 | − | 1.26237i | 0.0419767 | − | 0.999119i | \(-0.486634\pi\) |
0.964728 | − | 0.263249i | \(-0.0847941\pi\) | |||||||
\(648\) | 8.74092e9 | − | 1.31748e9i | 1.26196 | − | 0.190209i | ||||
\(649\) | 4.08201e9 | + | 1.78844e10i | 0.586162 | + | 2.56814i | ||||
\(650\) | −5.02625e9 | + | 3.42684e9i | −0.717873 | + | 0.489438i | ||||
\(651\) | −2.35500e9 | + | 4.07898e9i | −0.334548 | + | 0.579454i | ||||
\(652\) | −2.67738e8 | − | 4.63736e8i | −0.0378307 | − | 0.0655246i | ||||
\(653\) | −2.74870e9 | − | 1.32370e9i | −0.386306 | − | 0.186035i | 0.230643 | − | 0.973038i | \(-0.425917\pi\) |
−0.616949 | + | 0.787003i | \(0.711631\pi\) | |||||||
\(654\) | −5.62298e9 | + | 1.73446e9i | −0.786040 | + | 0.242461i | ||||
\(655\) | −5.61920e7 | + | 7.49830e8i | −0.00781322 | + | 0.104260i | ||||
\(656\) | 1.56161e9 | − | 6.84188e9i | 0.215978 | − | 0.946264i | ||||
\(657\) | 4.98065e7 | + | 1.26905e8i | 0.00685184 | + | 0.0174582i | ||||
\(658\) | −1.06718e9 | − | 1.42406e10i | −0.146032 | − | 1.94866i | ||||
\(659\) | −1.33119e9 | − | 2.00645e8i | −0.181193 | − | 0.0273105i | 0.0578189 | − | 0.998327i | \(-0.481585\pi\) |
−0.239012 | + | 0.971017i | \(0.576824\pi\) | |||||||
\(660\) | −1.13508e9 | + | 1.05320e9i | −0.153682 | + | 0.142596i | ||||
\(661\) | 9.62739e9 | − | 4.63631e9i | 1.29659 | − | 0.624406i | 0.346991 | − | 0.937868i | \(-0.387203\pi\) |
0.949601 | + | 0.313462i | \(0.101489\pi\) | |||||||
\(662\) | −3.55288e9 | − | 2.42231e9i | −0.475968 | − | 0.324509i | ||||
\(663\) | −3.27252e9 | + | 8.33824e9i | −0.436098 | + | 1.11116i | ||||
\(664\) | 6.62662e9 | + | 2.04404e9i | 0.878423 | + | 0.270957i | ||||
\(665\) | 2.22792e9 | + | 2.06721e9i | 0.293781 | + | 0.272589i | ||||
\(666\) | −8.44724e7 | − | 1.05925e8i | −0.0110804 | − | 0.0138944i | ||||
\(667\) | −5.93683e9 | − | 7.44455e9i | −0.774665 | − | 0.971400i | ||||
\(668\) | 3.64953e8 | + | 3.38627e8i | 0.0473717 | + | 0.0439546i | ||||
\(669\) | −9.81825e9 | − | 3.02853e9i | −1.26778 | − | 0.391057i | ||||
\(670\) | −7.35789e8 | + | 1.87476e9i | −0.0945130 | + | 0.240815i | ||||
\(671\) | 5.15326e9 | + | 3.51343e9i | 0.658496 | + | 0.448955i | ||||
\(672\) | 4.14487e9 | − | 1.99607e9i | 0.526889 | − | 0.253736i | ||||
\(673\) | −5.56259e9 | + | 5.16133e9i | −0.703436 | + | 0.652693i | −0.948487 | − | 0.316817i | \(-0.897386\pi\) |
0.245051 | + | 0.969510i | \(0.421195\pi\) | |||||||
\(674\) | 1.21670e10 | + | 1.83388e9i | 1.53064 | + | 0.230708i | ||||
\(675\) | 3.64218e8 | + | 4.86016e9i | 0.0455826 | + | 0.608257i | ||||
\(676\) | −3.98317e8 | − | 1.01489e9i | −0.0495924 | − | 0.126359i | ||||
\(677\) | 4.30025e8 | − | 1.88406e9i | 0.0532640 | − | 0.233365i | −0.941288 | − | 0.337604i | \(-0.890384\pi\) |
0.994552 | + | 0.104239i | \(0.0332407\pi\) | |||||||
\(678\) | −1.68113e8 | + | 2.24331e9i | −0.0207156 | + | 0.276431i | ||||
\(679\) | −7.77092e9 | + | 2.39701e9i | −0.952639 | + | 0.293850i | ||||
\(680\) | 3.30260e9 | + | 1.59045e9i | 0.402786 | + | 0.193972i | ||||
\(681\) | 6.04713e9 | + | 1.04739e10i | 0.733727 | + | 1.27085i | ||||
\(682\) | 3.05126e9 | − | 5.28494e9i | 0.368328 | − | 0.637962i | ||||
\(683\) | −6.38138e8 | + | 4.35075e8i | −0.0766376 | + | 0.0522506i | −0.601033 | − | 0.799224i | \(-0.705244\pi\) |
0.524395 | + | 0.851475i | \(0.324291\pi\) | |||||||
\(684\) | 5.00282e7 | + | 2.19188e8i | 0.00597749 | + | 0.0261891i | ||||
\(685\) | 1.24713e9 | − | 1.87974e8i | 0.148250 | − | 0.0223450i | ||||
\(686\) | 9.45024e7 | − | 1.18502e8i | 0.0111766 | − | 0.0140150i | ||||
\(687\) | −9.00839e8 | −0.105998 | ||||||||
\(688\) | −3.23295e9 | − | 5.79969e9i | −0.378476 | − | 0.678962i | ||||
\(689\) | 1.87487e10 | 2.18375 | ||||||||
\(690\) | −2.29317e9 | + | 2.87554e9i | −0.265744 | + | 0.333233i | ||||
\(691\) | −1.16296e10 | + | 1.75288e9i | −1.34088 | + | 0.202105i | −0.779994 | − | 0.625786i | \(-0.784778\pi\) |
−0.560888 | + | 0.827892i | \(0.689540\pi\) | |||||||
\(692\) | −2.71797e8 | − | 1.19082e9i | −0.0311798 | − | 0.136608i | ||||
\(693\) | 5.11879e9 | − | 3.48993e9i | 0.584253 | − | 0.398337i | ||||
\(694\) | 1.55801e9 | − | 2.69855e9i | 0.176934 | − | 0.306459i | ||||
\(695\) | 3.89058e8 | + | 6.73868e8i | 0.0439610 | + | 0.0761427i | ||||
\(696\) | −1.46405e10 | − | 7.05049e9i | −1.64598 | − | 0.792660i | ||||
\(697\) | 8.63982e9 | − | 2.66503e9i | 0.966473 | − | 0.298118i | ||||
\(698\) | −9.59526e8 | + | 1.28040e10i | −0.106798 | + | 1.42512i | ||||
\(699\) | −1.82754e9 | + | 8.00697e9i | −0.202393 | + | 0.886744i | ||||
\(700\) | 6.43175e8 | + | 1.63878e9i | 0.0708738 | + | 0.180584i | ||||
\(701\) | −9.46335e7 | − | 1.26280e9i | −0.0103760 | − | 0.138459i | 0.989610 | − | 0.143779i | \(-0.0459255\pi\) |
−0.999986 | + | 0.00532043i | \(0.998306\pi\) | |||||||
\(702\) | 8.91237e9 | + | 1.34332e9i | 0.972329 | + | 0.146555i | ||||
\(703\) | −2.82713e8 | + | 2.62319e8i | −0.0306903 | + | 0.0284765i | ||||
\(704\) | −1.78960e10 | + | 8.61827e9i | −1.93309 | + | 0.930927i | ||||
\(705\) | −6.84391e9 | − | 4.66610e9i | −0.735601 | − | 0.501524i | ||||
\(706\) | 6.00282e9 | − | 1.52949e10i | 0.642006 | − | 1.63580i | ||||
\(707\) | 8.23119e9 | + | 2.53899e9i | 0.875981 | + | 0.270204i | ||||
\(708\) | −1.98648e9 | − | 1.84319e9i | −0.210363 | − | 0.195188i | ||||
\(709\) | −3.91397e9 | − | 4.90796e9i | −0.412435 | − | 0.517177i | 0.531612 | − | 0.846988i | \(-0.321586\pi\) |
−0.944047 | + | 0.329811i | \(0.893015\pi\) | |||||||
\(710\) | −4.70971e9 | − | 5.90579e9i | −0.493845 | − | 0.619261i | ||||
\(711\) | −1.23625e9 | − | 1.14707e9i | −0.128992 | − | 0.119687i | ||||
\(712\) | −1.81549e8 | − | 5.60005e7i | −0.0188501 | − | 0.00581449i | ||||
\(713\) | −1.22219e9 | + | 3.11410e9i | −0.126278 | + | 0.321750i | ||||
\(714\) | −9.28033e9 | − | 6.32722e9i | −0.954157 | − | 0.650533i | ||||
\(715\) | −1.15174e10 | + | 5.54646e9i | −1.17837 | + | 0.567473i | ||||
\(716\) | 6.19055e8 | − | 5.74399e8i | 0.0630280 | − | 0.0584814i | ||||
\(717\) | 4.30454e9 | + | 6.48805e8i | 0.436124 | + | 0.0657351i | ||||
\(718\) | 5.97708e8 | + | 7.97586e9i | 0.0602634 | + | 0.804160i | ||||
\(719\) | 6.81329e9 | + | 1.73600e10i | 0.683606 | + | 1.74180i | 0.670527 | + | 0.741885i | \(0.266068\pi\) |
0.0130787 | + | 0.999914i | \(0.495837\pi\) | |||||||
\(720\) | −2.32006e8 | + | 1.01648e9i | −0.0231652 | + | 0.101493i | ||||
\(721\) | 9.97528e8 | − | 1.33111e10i | 0.0991178 | − | 1.32263i | ||||
\(722\) | 6.06086e9 | − | 1.86953e9i | 0.599313 | − | 0.184864i | ||||
\(723\) | 4.57542e9 | + | 2.20340e9i | 0.450243 | + | 0.216825i | ||||
\(724\) | −1.32875e8 | − | 2.30146e8i | −0.0130124 | − | 0.0225382i | ||||
\(725\) | 5.72740e9 | − | 9.92014e9i | 0.558180 | − | 0.966796i | ||||
\(726\) | −2.35479e10 | + | 1.60547e10i | −2.28389 | + | 1.55713i | ||||
\(727\) | 2.58855e9 | + | 1.13412e10i | 0.249853 | + | 1.09468i | 0.931713 | + | 0.363196i | \(0.118315\pi\) |
−0.681859 | + | 0.731483i | \(0.738828\pi\) | |||||||
\(728\) | 2.03875e10 | − | 3.07291e9i | 1.95841 | − | 0.295182i | ||||
\(729\) | 4.06225e9 | − | 5.09390e9i | 0.388347 | − | 0.486972i | ||||
\(730\) | 3.52730e8 | 0.0335593 | ||||||||
\(731\) | 4.38843e9 | − | 7.34322e9i | 0.415526 | − | 0.695306i | ||||
\(732\) | −9.21349e8 | −0.0868231 | ||||||||
\(733\) | −6.35971e9 | + | 7.97482e9i | −0.596449 | + | 0.747924i | −0.984820 | − | 0.173580i | \(-0.944467\pi\) |
0.388371 | + | 0.921503i | \(0.373038\pi\) | |||||||
\(734\) | 8.90063e9 | − | 1.34155e9i | 0.830777 | − | 0.125220i | ||||
\(735\) | 1.36670e9 | + | 5.98790e9i | 0.126960 | + | 0.556249i | ||||
\(736\) | 2.69977e9 | − | 1.84067e9i | 0.249606 | − | 0.170178i | ||||
\(737\) | 5.84316e9 | − | 1.01206e10i | 0.537664 | − | 0.931262i | ||||
\(738\) | 1.59604e9 | + | 2.76443e9i | 0.146166 | + | 0.253168i | ||||
\(739\) | −1.20477e10 | − | 5.80187e9i | −1.09812 | − | 0.528825i | −0.205051 | − | 0.978751i | \(-0.565736\pi\) |
−0.893066 | + | 0.449926i | \(0.851450\pi\) | |||||||
\(740\) | 7.73075e7 | − | 2.38462e7i | 0.00701311 | − | 0.00216326i | ||||
\(741\) | −6.72726e8 | + | 8.97691e9i | −0.0607400 | + | 0.810519i | ||||
\(742\) | −5.23138e9 | + | 2.29202e10i | −0.470113 | + | 2.05970i | ||||
\(743\) | 3.02542e9 | + | 7.70864e9i | 0.270598 | + | 0.689473i | 0.999986 | + | 0.00537198i | \(0.00170996\pi\) |
−0.729387 | + | 0.684101i | \(0.760195\pi\) | |||||||
\(744\) | 4.26637e8 | + | 5.69307e9i | 0.0379798 | + | 0.506805i | ||||
\(745\) | −7.90434e9 | − | 1.19139e9i | −0.700355 | − | 0.105562i | ||||
\(746\) | −9.20598e9 | + | 8.54190e9i | −0.811866 | + | 0.753301i | ||||
\(747\) | −2.28959e9 | + | 1.10261e9i | −0.200972 | + | 0.0967830i | ||||
\(748\) | −2.77504e9 | − | 1.89199e9i | −0.242445 | − | 0.165296i | ||||
\(749\) | 9.04696e9 | − | 2.30513e10i | 0.786713 | − | 2.00451i | ||||
\(750\) | −9.98708e9 | − | 3.08061e9i | −0.864419 | − | 0.266638i | ||||
\(751\) | −9.79149e9 | − | 9.08518e9i | −0.843547 | − | 0.782697i | 0.134537 | − | 0.990909i | \(-0.457045\pi\) |
−0.978084 | + | 0.208212i | \(0.933236\pi\) | |||||||
\(752\) | −8.69485e9 | − | 1.09030e10i | −0.745589 | − | 0.934939i | ||||
\(753\) | −3.40631e9 | − | 4.27137e9i | −0.290738 | − | 0.364574i | ||||
\(754\) | −1.55284e10 | − | 1.44083e10i | −1.31925 | − | 1.22408i | ||||
\(755\) | −3.94431e9 | − | 1.21666e9i | −0.333546 | − | 0.102885i | ||||
\(756\) | 9.52931e8 | − | 2.42803e9i | 0.0802112 | − | 0.204375i | ||||
\(757\) | −6.08817e9 | − | 4.15084e9i | −0.510095 | − | 0.347777i | 0.280763 | − | 0.959777i | \(-0.409413\pi\) |
−0.790857 | + | 0.612000i | \(0.790365\pi\) | |||||||
\(758\) | 4.32184e8 | − | 2.08129e8i | 0.0360435 | − | 0.0173576i | ||||
\(759\) | 1.56446e10 | − | 1.45160e10i | 1.29873 | − | 1.20504i | ||||
\(760\) | 3.64273e9 | + | 5.49054e8i | 0.301009 | + | 0.0453699i | ||||
\(761\) | 4.95607e8 | + | 6.61341e9i | 0.0407653 | + | 0.543975i | 0.979777 | + | 0.200091i | \(0.0641238\pi\) |
−0.939012 | + | 0.343884i | \(0.888257\pi\) | |||||||
\(762\) | −8.09413e9 | − | 2.06235e10i | −0.662717 | − | 1.68857i | ||||
\(763\) | −3.12836e9 | + | 1.37062e10i | −0.254965 | + | 1.11708i | ||||
\(764\) | 1.39366e6 | − | 1.85970e7i | 0.000113065 | − | 0.00150875i | ||||
\(765\) | −1.28360e9 | + | 3.95938e8i | −0.103661 | + | 0.0319751i | ||||
\(766\) | 1.78183e10 | + | 8.58084e9i | 1.43240 | + | 0.689809i | ||||
\(767\) | −1.11859e10 | − | 1.93746e10i | −0.895134 | − | 1.55042i | ||||
\(768\) | 3.81498e9 | − | 6.60775e9i | 0.303898 | − | 0.526368i | ||||
\(769\) | 1.02209e9 | − | 6.96849e8i | 0.0810488 | − | 0.0552582i | −0.522118 | − | 0.852873i | \(-0.674858\pi\) |
0.603167 | + | 0.797615i | \(0.293905\pi\) | |||||||
\(770\) | −3.56688e9 | − | 1.56275e10i | −0.281560 | − | 1.23359i | ||||
\(771\) | 1.87489e9 | − | 2.82594e8i | 0.147328 | − | 0.0222061i | ||||
\(772\) | −1.47511e9 | + | 1.84974e9i | −0.115389 | + | 0.144693i | ||||
\(773\) | −1.18517e10 | −0.922898 | −0.461449 | − | 0.887167i | \(-0.652670\pi\) | ||||
−0.461449 | + | 0.887167i | \(0.652670\pi\) | |||||||
\(774\) | 2.87227e9 | + | 9.33594e8i | 0.222655 | + | 0.0723710i | ||||
\(775\) | −4.02442e9 | −0.310562 | ||||||||
\(776\) | −6.14581e9 | + | 7.70660e9i | −0.472132 | + | 0.592034i | ||||
\(777\) | −1.55238e9 | + | 2.33983e8i | −0.118720 | + | 0.0178942i | ||||
\(778\) | 6.83133e8 | + | 2.99300e9i | 0.0520088 | + | 0.227865i | ||||
\(779\) | 7.50768e9 | − | 5.11865e9i | 0.569016 | − | 0.387949i | ||||
\(780\) | 9.44192e8 | − | 1.63539e9i | 0.0712409 | − | 0.123393i | ||||
\(781\) | 2.19158e10 | + | 3.79593e10i | 1.64619 | + | 2.85128i | ||||
\(782\) | −7.18767e9 | − | 3.46140e9i | −0.537483 | − | 0.258838i | ||||
\(783\) | −1.62175e10 | + | 5.00243e9i | −1.20731 | + | 0.372404i | ||||
\(784\) | −7.72737e8 | + | 1.03115e10i | −0.0572698 | + | 0.764212i | ||||
\(785\) | 1.44224e9 | − | 6.31888e9i | 0.106413 | − | 0.466226i | ||||
\(786\) | −1.02031e9 | − | 2.59970e9i | −0.0749466 | − | 0.190961i | ||||
\(787\) | −8.89534e8 | − | 1.18700e10i | −0.0650506 | − | 0.868039i | −0.930324 | − | 0.366739i | \(-0.880474\pi\) |
0.865273 | − | 0.501300i | \(-0.167145\pi\) | |||||||
\(788\) | 2.05723e9 | + | 3.10077e8i | 0.149775 | + | 0.0225750i | ||||
\(789\) | −1.74670e10 | + | 1.62071e10i | −1.26605 | + | 1.17472i | ||||
\(790\) | −3.93129e9 | + | 1.89321e9i | −0.283688 | + | 0.136617i | ||||
\(791\) | 4.44074e9 | + | 3.02764e9i | 0.319034 | + | 0.217514i | ||||
\(792\) | 2.74348e9 | − | 6.99027e9i | 0.196229 | − | 0.499983i | ||||
\(793\) | −7.26841e9 | − | 2.24201e9i | −0.517587 | − | 0.159654i | ||||
\(794\) | 1.02624e10 | + | 9.52210e9i | 0.727573 | + | 0.675089i | ||||
\(795\) | 8.50216e9 | + | 1.06614e10i | 0.600129 | + | 0.752537i | ||||
\(796\) | 9.23003e8 | + | 1.15741e9i | 0.0648646 | + | 0.0813376i | ||||
\(797\) | −2.53476e9 | − | 2.35191e9i | −0.177350 | − | 0.164557i | 0.586503 | − | 0.809947i | \(-0.300504\pi\) |
−0.763853 | + | 0.645390i | \(0.776695\pi\) | |||||||
\(798\) | −1.07865e10 | − | 3.32720e9i | −0.751400 | − | 0.231776i | ||||
\(799\) | 6.56400e9 | − | 1.67248e10i | 0.455255 | − | 1.15997i | ||||
\(800\) | 3.24780e9 | + | 2.21431e9i | 0.224272 | + | 0.152906i | ||||
\(801\) | 6.27278e7 | − | 3.02081e7i | 0.00431267 | − | 0.00207687i | ||||
\(802\) | −5.06796e9 | + | 4.70238e9i | −0.346915 | + | 0.321890i | ||||
\(803\) | −2.02389e9 | − | 3.05053e8i | −0.137938 | − | 0.0207908i | ||||
\(804\) | 1.29009e8 | + | 1.72151e9i | 0.00875436 | + | 0.116819i | ||||
\(805\) | 3.21032e9 | + | 8.17976e9i | 0.216901 | + | 0.552656i | ||||
\(806\) | −1.65607e9 | + | 7.25573e9i | −0.111406 | + | 0.488100i | ||||
\(807\) | −3.88908e8 | + | 5.18962e9i | −0.0260489 | + | 0.347599i | ||||
\(808\) | 9.97709e9 | − | 3.07752e9i | 0.665371 | − | 0.205240i | ||||
\(809\) | −8.92281e9 | − | 4.29700e9i | −0.592491 | − | 0.285329i | 0.113513 | − | 0.993537i | \(-0.463790\pi\) |
−0.706004 | + | 0.708208i | \(0.749504\pi\) | |||||||
\(810\) | 4.19064e9 | + | 7.25840e9i | 0.277066 | + | 0.479892i | ||||
\(811\) | 4.78043e9 | − | 8.27995e9i | 0.314698 | − | 0.545073i | −0.664675 | − | 0.747133i | \(-0.731430\pi\) |
0.979373 | + | 0.202059i | \(0.0647633\pi\) | |||||||
\(812\) | −5.06511e9 | + | 3.45334e9i | −0.332004 | + | 0.226356i | ||||
\(813\) | −1.15477e9 | − | 5.05939e9i | −0.0753667 | − | 0.330203i | ||||
\(814\) | 2.01134e9 | − | 3.03161e8i | 0.130707 | − | 0.0197010i | ||||
\(815\) | 2.00471e9 | − | 2.51382e9i | 0.129718 | − | 0.162661i | ||||
\(816\) | −1.09685e10 | −0.706694 | ||||||||
\(817\) | 2.03912e9 | − | 8.35192e9i | 0.130818 | − | 0.535808i | ||||
\(818\) | 1.39146e10 | 0.888859 | ||||||||
\(819\) | −4.71075e9 | + | 5.90710e9i | −0.299638 | + | 0.375734i | ||||
\(820\) | −1.88482e9 | + | 2.84091e8i | −0.119377 | + | 0.0179932i | ||||
\(821\) | 4.70832e9 | + | 2.06285e10i | 0.296937 | + | 1.30097i | 0.874661 | + | 0.484735i | \(0.161084\pi\) |
−0.577724 | + | 0.816232i | \(0.696059\pi\) | |||||||
\(822\) | −3.87032e9 | + | 2.63874e9i | −0.243050 | + | 0.165709i | ||||
\(823\) | 1.21176e10 | − | 2.09883e10i | 0.757735 | − | 1.31244i | −0.186268 | − | 0.982499i | \(-0.559639\pi\) |
0.944003 | − | 0.329936i | \(-0.107027\pi\) | |||||||
\(824\) | −8.08985e9 | − | 1.40120e10i | −0.503727 | − | 0.872481i | ||||
\(825\) | 2.31313e10 | + | 1.11395e10i | 1.43421 | + | 0.690678i | ||||
\(826\) | 2.68065e10 | − | 8.26871e9i | 1.65505 | − | 0.510514i | ||||
\(827\) | 6.95625e8 | − | 9.28248e9i | 0.0427667 | − | 0.570683i | −0.934125 | − | 0.356947i | \(-0.883818\pi\) |
0.976891 | − | 0.213736i | \(-0.0685632\pi\) | |||||||
\(828\) | −1.44644e8 | + | 6.33727e8i | −0.00885512 | + | 0.0387968i | ||||
\(829\) | 2.12700e9 | + | 5.41950e9i | 0.129666 | + | 0.330384i | 0.980932 | − | 0.194351i | \(-0.0622600\pi\) |
−0.851266 | + | 0.524734i | \(0.824165\pi\) | |||||||
\(830\) | 4.91359e8 | + | 6.55673e9i | 0.0298281 | + | 0.398028i | ||||
\(831\) | −2.82282e9 | − | 4.25471e8i | −0.170639 | − | 0.0257197i | ||||
\(832\) | 1.77574e10 | − | 1.64765e10i | 1.06893 | − | 0.991820i | ||||
\(833\) | −1.20028e10 | + | 5.78026e9i | −0.719493 | + | 0.346489i | ||||
\(834\) | −2.38783e9 | − | 1.62799e9i | −0.142535 | − | 0.0971788i | ||||
\(835\) | −1.09215e9 | + | 2.78275e9i | −0.0649201 | + | 0.165414i | ||||
\(836\) | −3.22542e9 | − | 9.94911e8i | −0.190926 | − | 0.0588928i | ||||
\(837\) | 4.37090e9 | + | 4.05560e9i | 0.257651 | + | 0.239065i | ||||
\(838\) | 2.23586e7 | + | 2.80368e7i | 0.00131247 | + | 0.00164579i | ||||
\(839\) | 1.27046e10 | + | 1.59311e10i | 0.742670 | + | 0.931279i | 0.999380 | − | 0.0352099i | \(-0.0112100\pi\) |
−0.256710 | + | 0.966488i | \(0.582639\pi\) | |||||||
\(840\) | 1.09927e10 | + | 1.01998e10i | 0.639923 | + | 0.593762i | ||||
\(841\) | 2.16322e10 | + | 6.67265e9i | 1.25405 | + | 0.386823i | ||||
\(842\) | 6.20404e8 | − | 1.58076e9i | 0.0358164 | − | 0.0912587i | ||||
\(843\) | −1.90287e10 | − | 1.29736e10i | −1.09399 | − | 0.745869i | ||||
\(844\) | −1.23170e8 | + | 5.93155e7i | −0.00705189 | + | 0.00339601i | ||||
\(845\) | 4.79895e9 | − | 4.45277e9i | 0.273620 | − | 0.253882i | ||||
\(846\) | 6.27230e9 | + | 9.45397e8i | 0.356148 | + | 0.0536806i | ||||
\(847\) | 5.08845e9 | + | 6.79007e10i | 0.287736 | + | 3.83957i | ||||
\(848\) | 8.38750e9 | + | 2.13710e10i | 0.472332 | + | 1.20348i | ||||
\(849\) | −5.46079e9 | + | 2.39253e10i | −0.306251 | + | 1.34178i | ||||
\(850\) | 7.17193e8 | − | 9.57027e9i | 0.0400562 | − | 0.534513i | ||||
\(851\) | −1.06552e9 | + | 3.28668e8i | −0.0592661 | + | 0.0182812i | ||||
\(852\) | −5.83371e9 | − | 2.80937e9i | −0.323152 | − | 0.155622i | ||||
\(853\) | −2.90584e9 | − | 5.03305e9i | −0.160306 | − | 0.277658i | 0.774673 | − | 0.632363i | \(-0.217915\pi\) |
−0.934978 | + | 0.354705i | \(0.884581\pi\) | |||||||
\(854\) | 4.76892e9 | − | 8.26002e9i | 0.262010 | − | 0.453814i | ||||
\(855\) | −1.11540e9 | + | 7.60467e8i | −0.0610309 | + | 0.0416101i | ||||
\(856\) | −6.67907e9 | − | 2.92629e10i | −0.363964 | − | 1.59463i | ||||
\(857\) | −3.08112e10 | + | 4.64405e9i | −1.67215 | + | 0.252037i | −0.915657 | − | 0.401960i | \(-0.868329\pi\) |
−0.756497 | + | 0.653997i | \(0.773091\pi\) | |||||||
\(858\) | 2.96023e10 | − | 3.71201e10i | 1.60000 | − | 2.00634i | ||||
\(859\) | −2.17018e10 | −1.16821 | −0.584104 | − | 0.811679i | \(-0.698554\pi\) | ||||
−0.584104 | + | 0.811679i | \(0.698554\pi\) | |||||||
\(860\) | −1.14555e9 | + | 1.39290e9i | −0.0614145 | + | 0.0746751i | ||||
\(861\) | 3.69884e10 | 1.97494 | ||||||||
\(862\) | 1.72750e10 | − | 2.16622e10i | 0.918636 | − | 1.15193i | ||||
\(863\) | 2.94427e10 | − | 4.43778e9i | 1.55934 | − | 0.235032i | 0.687998 | − | 0.725713i | \(-0.258490\pi\) |
0.871340 | + | 0.490681i | \(0.163252\pi\) | |||||||
\(864\) | −1.29595e9 | − | 5.67791e9i | −0.0683579 | − | 0.299496i | ||||
\(865\) | 6.05983e9 | − | 4.13152e9i | 0.318349 | − | 0.217047i | ||||
\(866\) | 3.14461e9 | − | 5.44663e9i | 0.164533 | − | 0.284980i | ||||
\(867\) | 3.70334e9 | + | 6.41437e9i | 0.192986 | + | 0.334262i | ||||
\(868\) | 1.94048e9 | + | 9.34488e8i | 0.100714 | + | 0.0485014i | ||||
\(869\) | 2.41943e10 | − | 7.46294e9i | 1.25067 | − | 0.385781i | ||||
\(870\) | 1.15138e9 | − | 1.53640e10i | 0.0592788 | − | 0.791021i | ||||
\(871\) | −3.17137e9 | + | 1.38947e10i | −0.162624 | + | 0.712501i | ||||
\(872\) | 6.22566e9 | + | 1.58627e10i | 0.317964 | + | 0.810159i | ||||
\(873\) | −2.69939e8 | − | 3.60208e9i | −0.0137314 | − | 0.183233i | ||||
\(874\) | −7.92793e9 | − | 1.19494e9i | −0.401670 | − | 0.0605421i | ||||
\(875\) | −1.83043e10 | + | 1.69839e10i | −0.923686 | + | 0.857056i | ||||
\(876\) | 2.72410e8 | − | 1.31186e8i | 0.0136917 | − | 0.00659359i | ||||
\(877\) | 1.48135e10 | + | 1.00997e10i | 0.741581 | + | 0.505601i | 0.874200 | − | 0.485566i | \(-0.161386\pi\) |
−0.132619 | + | 0.991167i | \(0.542339\pi\) | |||||||
\(878\) | −8.87941e9 | + | 2.26244e10i | −0.442745 | + | 1.12810i | ||||
\(879\) | −1.16772e10 | − | 3.60193e9i | −0.579931 | − | 0.178885i | ||||
\(880\) | −1.14747e10 | − | 1.06470e10i | −0.567612 | − | 0.526667i | ||||
\(881\) | −1.11749e9 | − | 1.40128e9i | −0.0550588 | − | 0.0690416i | 0.753540 | − | 0.657403i | \(-0.228345\pi\) |
−0.808598 | + | 0.588361i | \(0.799773\pi\) | |||||||
\(882\) | −2.93250e9 | − | 3.67724e9i | −0.143912 | − | 0.180460i | ||||
\(883\) | 1.30669e10 | + | 1.21243e10i | 0.638718 | + | 0.592644i | 0.931591 | − | 0.363508i | \(-0.118421\pi\) |
−0.292873 | + | 0.956151i | \(0.594611\pi\) | |||||||
\(884\) | 3.91405e9 | + | 1.20732e9i | 0.190565 | + | 0.0587815i | ||||
\(885\) | 5.94470e9 | − | 1.51468e10i | 0.288289 | − | 0.734549i | ||||
\(886\) | −2.02882e10 | − | 1.38323e10i | −0.979999 | − | 0.668152i | ||||
\(887\) | −2.70078e10 | + | 1.30063e10i | −1.29944 | + | 0.625778i | −0.950313 | − | 0.311297i | \(-0.899236\pi\) |
−0.349128 | + | 0.937075i | \(0.613522\pi\) | |||||||
\(888\) | −1.39493e9 | + | 1.29430e9i | −0.0668507 | + | 0.0620284i | ||||
\(889\) | −5.23404e10 | − | 7.88905e9i | −2.49851 | − | 0.376590i | ||||
\(890\) | −1.34617e7 | − | 1.79635e8i | −0.000640083 | − | 0.00854132i | ||||
\(891\) | −1.77677e10 | − | 4.52714e10i | −0.841511 | − | 2.14414i | ||||
\(892\) | −1.04549e9 | + | 4.58059e9i | −0.0493223 | + | 0.216095i | ||||
\(893\) | 1.34935e9 | − | 1.80059e10i | 0.0634082 | − | 0.846123i | ||||
\(894\) | 2.83701e10 | − | 8.75100e9i | 1.32794 | − | 0.409616i | ||||
\(895\) | 4.56862e9 | + | 2.20013e9i | 0.213012 | + | 0.102581i | ||||
\(896\) | 9.57822e9 | + | 1.65900e10i | 0.444843 | + | 0.770491i | ||||
\(897\) | −1.30136e10 | + | 2.25402e10i | −0.602039 | + | 1.04276i | ||||
\(898\) | −7.83720e9 | + | 5.34331e9i | −0.361155 | + | 0.246231i | ||||
\(899\) | −3.11837e9 | − | 1.36625e10i | −0.143143 | − | 0.627149i | ||||
\(900\) | −7.73239e8 | + | 1.16547e8i | −0.0353561 | + | 0.00532908i | ||||
\(901\) | −1.84417e10 | + | 2.31252e10i | −0.839971 | + | 1.05329i | ||||
\(902\) | −4.79240e10 | −2.17436 | ||||||||
\(903\) | 2.60099e10 | − | 2.34145e10i | 1.17553 | − | 1.05822i | ||||
\(904\) | 6.51464e9 | 0.293293 | ||||||||
\(905\) | 9.94909e8 | − | 1.24758e9i | 0.0446183 | − | 0.0559496i | ||||
\(906\) | 1.51594e10 | − | 2.28491e9i | 0.677225 | − | 0.102075i | ||||
\(907\) | 4.77107e9 | + | 2.09034e10i | 0.212320 | + | 0.930233i | 0.962986 | + | 0.269552i | \(0.0868755\pi\) |
−0.750666 | + | 0.660682i | \(0.770267\pi\) | |||||||
\(908\) | 4.56945e9 | − | 3.11540e9i | 0.202564 | − | 0.138106i | ||||
\(909\) | −1.91307e9 | + | 3.31353e9i | −0.0844804 | + | 0.146324i | ||||
\(910\) | 9.77432e9 | + | 1.69296e10i | 0.429973 | + | 0.744736i | ||||
\(911\) | −3.11134e10 | − | 1.49834e10i | −1.36343 | − | 0.656593i | −0.398031 | − | 0.917372i | \(-0.630306\pi\) |
−0.965399 | + | 0.260779i | \(0.916021\pi\) | |||||||
\(912\) | −1.05334e10 | + | 3.24914e9i | −0.459821 | + | 0.141836i | ||||
\(913\) | 2.85116e9 | − | 3.80461e10i | 0.123986 | − | 1.65448i | ||||
\(914\) | −3.93661e9 | + | 1.72474e10i | −0.170534 | + | 0.747158i | ||||
\(915\) | −2.02117e9 | − | 5.14987e9i | −0.0872227 | − | 0.222240i | ||||
\(916\) | 3.07837e7 | + | 4.10780e8i | 0.00132339 | + | 0.0176594i | ||||
\(917\) | −6.59777e9 | − | 9.94454e8i | −0.282556 | − | 0.0425885i | ||||
\(918\) | −1.04234e10 | + | 9.67146e9i | −0.444691 | + | 0.412613i | ||||
\(919\) | 2.42731e10 | − | 1.16893e10i | 1.03162 | − | 0.496804i | 0.160071 | − | 0.987106i | \(-0.448828\pi\) |
0.871553 | + | 0.490302i | \(0.163113\pi\) | |||||||
\(920\) | 8.80028e9 | + | 5.99993e9i | 0.372597 | + | 0.254032i | ||||
\(921\) | 2.59361e8 | − | 6.60840e8i | 0.0109394 | − | 0.0278733i | ||||
\(922\) | −1.73798e10 | − | 5.36096e9i | −0.730275 | − | 0.225260i | ||||
\(923\) | −3.91852e10 | − | 3.63585e10i | −1.64027 | − | 1.52195i | ||||
\(924\) | −8.56677e9 | − | 1.07424e10i | −0.357244 | − | 0.447970i | ||||
\(925\) | −8.36348e8 | − | 1.04875e9i | −0.0347449 | − | 0.0435687i | ||||
\(926\) | −1.23151e10 | − | 1.14267e10i | −0.509682 | − | 0.472916i | ||||
\(927\) | 5.66571e9 | + | 1.74764e9i | 0.233601 | + | 0.0720564i | ||||
\(928\) | −5.00075e9 | + | 1.27417e10i | −0.205408 | + | 0.523371i | ||||
\(929\) | 1.05588e10 | + | 7.19883e9i | 0.432073 | + | 0.294583i | 0.759760 | − | 0.650204i | \(-0.225317\pi\) |
−0.327686 | + | 0.944787i | \(0.606269\pi\) | |||||||
\(930\) | −4.87694e9 | + | 2.34861e9i | −0.198819 | + | 0.0957461i | ||||
\(931\) | −9.81450e9 | + | 9.10653e9i | −0.398607 | + | 0.369853i | ||||
\(932\) | 3.71361e9 | + | 5.59737e8i | 0.150259 | + | 0.0226479i | ||||
\(933\) | −1.94695e9 | − | 2.59803e10i | −0.0784820 | − | 1.04727i | ||||
\(934\) | −5.19870e8 | − | 1.32461e9i | −0.0208776 | − | 0.0531953i | ||||
\(935\) | 4.48761e9 | − | 1.96615e10i | 0.179546 | − | 0.786640i | ||||
\(936\) | −6.84380e8 | + | 9.13242e9i | −0.0272792 | + | 0.364016i | ||||
\(937\) | 4.21156e10 | − | 1.29909e10i | 1.67246 | − | 0.515884i | 0.693587 | − | 0.720373i | \(-0.256029\pi\) |
0.978869 | + | 0.204489i | \(0.0655533\pi\) | |||||||
\(938\) | −1.61013e10 | − | 7.75398e9i | −0.637017 | − | 0.306771i | ||||
\(939\) | 2.44194e10 | + | 4.22957e10i | 0.962511 | + | 1.66712i | ||||
\(940\) | −1.89386e9 | + | 3.28026e9i | −0.0743703 | + | 0.128813i | ||||
\(941\) | −6.56137e8 | + | 4.47346e8i | −0.0256703 | + | 0.0175017i | −0.576087 | − | 0.817388i | \(-0.695421\pi\) |
0.550417 | + | 0.834890i | \(0.314469\pi\) | |||||||
\(942\) | 5.35663e9 | + | 2.34689e10i | 0.208792 | + | 0.914777i | ||||
\(943\) | 2.59781e10 | − | 3.91557e9i | 1.00883 | − | 0.152056i | ||||
\(944\) | 1.70803e10 | − | 2.14180e10i | 0.660835 | − | 0.828661i | ||||
\(945\) | 1.56619e10 | 0.603716 | ||||||||
\(946\) | −3.36998e10 | + | 3.03370e10i | −1.29422 | + | 1.16507i | ||||
\(947\) | −2.12442e10 | −0.812861 | −0.406430 | − | 0.913682i | \(-0.633227\pi\) | ||||
−0.406430 | + | 0.913682i | \(0.633227\pi\) | |||||||
\(948\) | −2.33198e9 | + | 2.92421e9i | −0.0888989 | + | 0.111476i | ||||
\(949\) | 2.46824e9 | − | 3.72027e8i | 0.0937465 | − | 0.0141300i | ||||
\(950\) | −2.14620e9 | − | 9.40313e9i | −0.0812153 | − | 0.355828i | ||||
\(951\) | −1.37501e9 | + | 9.37465e8i | −0.0518410 | + | 0.0353446i | ||||
\(952\) | −1.62634e10 | + | 2.81691e10i | −0.610918 | + | 1.05814i | ||||
\(953\) | −1.76951e10 | − | 3.06489e10i | −0.662261 | − | 1.14707i | −0.980020 | − | 0.198898i | \(-0.936264\pi\) |
0.317759 | − | 0.948171i | \(-0.397070\pi\) | |||||||
\(954\) | −9.40840e9 | − | 4.53085e9i | −0.350830 | − | 0.168951i | ||||
\(955\) | 1.07005e8 | − | 3.30067e7i | 0.00397551 | − | 0.00122628i | ||||
\(956\) | 1.48758e8 | − | 1.98503e9i | 0.00550651 | − | 0.0734793i | ||||
\(957\) | −1.98937e10 | + | 8.71599e10i | −0.733708 | + | 3.21459i | ||||
\(958\) | 4.67110e9 | + | 1.19018e10i | 0.171649 | + | 0.437353i | ||||
\(959\) | 8.36335e8 | + | 1.11601e10i | 0.0306207 | + | 0.408605i | ||||
\(960\) | 1.74220e10 | + | 2.62594e9i | 0.635547 | + | 0.0957933i | ||||
\(961\) | 1.65590e10 | − | 1.53645e10i | 0.601869 | − | 0.558453i | ||||
\(962\) | −2.23497e9 | + | 1.07631e9i | −0.0809393 | + | 0.0389783i | ||||
\(963\) | 9.08805e9 | + | 6.19613e9i | 0.327928 | + | 0.223578i | ||||
\(964\) | 8.48395e8 | − | 2.16168e9i | 0.0305020 | − | 0.0777179i | ||||
\(965\) | −1.35750e10 | − | 4.18735e9i | −0.486290 | − | 0.150001i | ||||
\(966\) | −2.39242e10 | − | 2.21984e10i | −0.853921 | − | 0.792323i | ||||
\(967\) | 8.35812e9 | + | 1.04808e10i | 0.297246 | + | 0.372735i | 0.907917 | − | 0.419150i | \(-0.137672\pi\) |
−0.610671 | + | 0.791884i | \(0.709100\pi\) | |||||||
\(968\) | 5.14589e10 | + | 6.45274e10i | 1.82346 | + | 2.28655i | ||||
\(969\) | −1.04107e10 | − | 9.65970e9i | −0.367575 | − | 0.341060i | ||||
\(970\) | −8.93077e9 | − | 2.75478e9i | −0.314187 | − | 0.0969138i | ||||
\(971\) | −7.72686e8 | + | 1.96877e9i | −0.0270854 | + | 0.0690126i | −0.943777 | − | 0.330584i | \(-0.892754\pi\) |
0.916691 | + | 0.399596i | \(0.130850\pi\) | |||||||
\(972\) | 2.25039e9 | + | 1.53429e9i | 0.0786007 | + | 0.0535890i | ||||
\(973\) | −6.22086e9 | + | 2.99581e9i | −0.216499 | + | 0.104260i | ||||
\(974\) | −1.93276e10 | + | 1.79334e10i | −0.670228 | + | 0.621880i | ||||
\(975\) | −3.09608e10 | − | 4.66659e9i | −1.06978 | − | 0.161244i | ||||
\(976\) | −6.96041e8 | − | 9.28802e9i | −0.0239641 | − | 0.319778i | ||||
\(977\) | −1.36644e10 | − | 3.48163e10i | −0.468770 | − | 1.19441i | −0.948440 | − | 0.316958i | \(-0.897339\pi\) |
0.479670 | − | 0.877449i | \(-0.340757\pi\) | |||||||
\(978\) | −2.65733e9 | + | 1.16425e10i | −0.0908364 | + | 0.397980i | ||||
\(979\) | −7.81132e7 | + | 1.04235e9i | −0.00266063 | + | 0.0355037i | ||||
\(980\) | 2.68377e9 | − | 8.27832e8i | 0.0910864 | − | 0.0280964i | ||||
\(981\) | −5.62622e9 | − | 2.70945e9i | −0.190272 | − | 0.0916303i | ||||
\(982\) | 4.58685e9 | + | 7.94466e9i | 0.154570 | + | 0.267723i | ||||
\(983\) | −1.29347e10 | + | 2.24035e10i | −0.434329 | + | 0.752280i | −0.997241 | − | 0.0742374i | \(-0.976348\pi\) |
0.562912 | + | 0.826517i | \(0.309681\pi\) | |||||||
\(984\) | 3.70435e10 | − | 2.52558e10i | 1.23945 | − | 0.845043i | ||||
\(985\) | 2.77979e9 | + | 1.21791e10i | 0.0926798 | + | 0.406057i | ||||
\(986\) | 3.30457e10 | − | 4.98084e9i | 1.09786 | − | 0.165476i | ||||
\(987\) | 4.58273e10 | − | 5.74656e10i | 1.51710 | − | 1.90238i | ||||
\(988\) | 4.11644e9 | 0.135791 | ||||||||
\(989\) | 1.57890e10 | − | 1.91981e10i | 0.518999 | − | 0.631061i | ||||
\(990\) | 7.11998e9 | 0.233214 | ||||||||
\(991\) | −7.72835e9 | + | 9.69104e9i | −0.252249 | + | 0.316310i | −0.891792 | − | 0.452445i | \(-0.850552\pi\) |
0.639544 | + | 0.768755i | \(0.279123\pi\) | |||||||
\(992\) | 4.75527e9 | − | 7.16742e8i | 0.154662 | − | 0.0233116i | ||||
\(993\) | −4.92489e9 | − | 2.15774e10i | −0.159615 | − | 0.699320i | ||||
\(994\) | 5.53818e10 | − | 3.77587e10i | 1.78861 | − | 1.21945i | ||||
\(995\) | −4.44452e9 | + | 7.69814e9i | −0.143036 | + | 0.247745i | ||||
\(996\) | 2.81802e9 | + | 4.88095e9i | 0.0903724 | + | 0.156530i | ||||
\(997\) | −1.78435e10 | − | 8.59296e9i | −0.570225 | − | 0.274606i | 0.126473 | − | 0.991970i | \(-0.459634\pi\) |
−0.696698 | + | 0.717364i | \(0.745348\pi\) | |||||||
\(998\) | −2.93191e10 | + | 9.04376e9i | −0.933672 | + | 0.288000i | ||||
\(999\) | −1.48520e8 | + | 1.98187e9i | −0.00471310 | + | 0.0628919i |
(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.24.8 | yes | 300 | |
43.9 | even | 21 | inner | 43.8.g.a.9.8 | ✓ | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.8 | ✓ | 300 | 43.9 | even | 21 | inner | |
43.8.g.a.24.8 | yes | 300 | 1.1 | even | 1 | trivial |