Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.9.f.a.22.13 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08134 | − | 2.24542i | −0.0675837 | − | 0.140339i | 0.864440 | − | 0.502735i | \(-0.167673\pi\) |
−0.932024 | + | 0.362396i | \(0.881959\pi\) | |||||||
\(3\) | −24.6440 | + | 51.1739i | −0.304247 | + | 0.631776i | −0.995901 | − | 0.0904534i | \(-0.971168\pi\) |
0.691653 | + | 0.722230i | \(0.256883\pi\) | |||||||
\(4\) | 155.741 | − | 195.293i | 0.608362 | − | 0.762862i | ||||
\(5\) | −234.966 | − | 53.6295i | −0.375946 | − | 0.0858071i | 0.0303729 | − | 0.999539i | \(-0.490331\pi\) |
−0.406319 | + | 0.913732i | \(0.633188\pi\) | |||||||
\(6\) | 141.556 | 0.109225 | ||||||||
\(7\) | − | 271.708i | − | 0.113164i | −0.998398 | − | 0.0565822i | \(-0.981980\pi\) | ||
0.998398 | − | 0.0565822i | \(-0.0180203\pi\) | |||||||
\(8\) | −1228.94 | − | 280.497i | −0.300034 | − | 0.0684808i | ||||
\(9\) | 2079.28 | + | 2607.33i | 0.316915 | + | 0.397399i | ||||
\(10\) | 133.657 | + | 585.590i | 0.0133657 | + | 0.0585590i | ||||
\(11\) | −8442.85 | − | 10587.0i | −0.576658 | − | 0.723106i | 0.404881 | − | 0.914370i | \(-0.367313\pi\) |
−0.981539 | + | 0.191263i | \(0.938742\pi\) | |||||||
\(12\) | 6155.81 | + | 12782.7i | 0.296866 | + | 0.616448i | ||||
\(13\) | −5830.31 | + | 25544.2i | −0.204135 | + | 0.894375i | 0.764251 | + | 0.644919i | \(0.223109\pi\) |
−0.968386 | + | 0.249456i | \(0.919748\pi\) | |||||||
\(14\) | −610.099 | + | 293.808i | −0.0158814 | + | 0.00764807i | ||||
\(15\) | 8534.94 | − | 10702.5i | 0.168591 | − | 0.211407i | ||||
\(16\) | −13530.2 | − | 59279.9i | −0.206455 | − | 0.904539i | ||||
\(17\) | 4856.65 | + | 21278.4i | 0.0581488 | + | 0.254767i | 0.995645 | − | 0.0932301i | \(-0.0297192\pi\) |
−0.937496 | + | 0.347997i | \(0.886862\pi\) | |||||||
\(18\) | 3606.16 | − | 7488.28i | 0.0343523 | − | 0.0713332i | ||||
\(19\) | −139518. | − | 111262.i | −1.07058 | − | 0.853755i | −0.0808485 | − | 0.996726i | \(-0.525763\pi\) |
−0.989727 | + | 0.142971i | \(0.954334\pi\) | |||||||
\(20\) | −47067.2 | + | 37534.9i | −0.294170 | + | 0.234593i | ||||
\(21\) | 13904.3 | + | 6695.98i | 0.0714946 | + | 0.0344300i | ||||
\(22\) | −14642.7 | + | 30405.9i | −0.0625074 | + | 0.129798i | ||||
\(23\) | −257839. | − | 323320.i | −0.921378 | − | 1.15537i | −0.987509 | − | 0.157560i | \(-0.949637\pi\) |
0.0661317 | − | 0.997811i | \(-0.478934\pi\) | |||||||
\(24\) | 44640.2 | − | 55977.0i | 0.134549 | − | 0.168719i | ||||
\(25\) | −299608. | − | 144284.i | −0.766997 | − | 0.369366i | ||||
\(26\) | 63662.2 | − | 14530.5i | 0.139312 | − | 0.0317970i | ||||
\(27\) | −547982. | + | 125073.i | −1.03113 | + | 0.235348i | ||||
\(28\) | −53062.6 | − | 42316.0i | −0.0863289 | − | 0.0688450i | ||||
\(29\) | 266264. | + | 552903.i | 0.376462 | + | 0.781731i | 1.00000 | 6.21075e-5i | \(-1.97694e-5\pi\) | |
−0.623538 | + | 0.781793i | \(0.714305\pi\) | |||||||
\(30\) | −33260.8 | − | 7591.55i | −0.0410627 | − | 0.00937229i | ||||
\(31\) | −1.48961e6 | + | 717356.i | −1.61296 | + | 0.776762i | −0.999912 | − | 0.0132813i | \(-0.995772\pi\) |
−0.613051 | + | 0.790043i | \(0.710058\pi\) | |||||||
\(32\) | −370774. | + | 295682.i | −0.353598 | + | 0.281985i | ||||
\(33\) | 749844. | − | 171147.i | 0.632288 | − | 0.144316i | ||||
\(34\) | 42527.3 | − | 33914.4i | 0.0318238 | − | 0.0253786i | ||||
\(35\) | −14571.5 | + | 63842.1i | −0.00971031 | + | 0.0425437i | ||||
\(36\) | 833022. | 0.495960 | ||||||||
\(37\) | − | 2.79168e6i | − | 1.48956i | −0.667308 | − | 0.744782i | \(-0.732554\pi\) | ||
0.667308 | − | 0.744782i | \(-0.267446\pi\) | |||||||
\(38\) | −98964.2 | + | 433590.i | −0.0474617 | + | 0.207943i | ||||
\(39\) | −1.16352e6 | − | 927873.i | −0.502937 | − | 0.401079i | ||||
\(40\) | 273716. | + | 131815.i | 0.106920 | + | 0.0514901i | ||||
\(41\) | −2.88103e6 | + | 1.38743e6i | −1.01956 | + | 0.490994i | −0.867532 | − | 0.497382i | \(-0.834295\pi\) |
−0.152028 | + | 0.988376i | \(0.548580\pi\) | |||||||
\(42\) | − | 38461.8i | − | 0.0123604i | ||||||
\(43\) | 2.30220e6 | − | 2.52746e6i | 0.673395 | − | 0.739283i | ||||
\(44\) | −3.38246e6 | −0.902448 | ||||||||
\(45\) | −348730. | − | 724145.i | −0.0850431 | − | 0.176594i | ||||
\(46\) | −447179. | + | 928577.i | −0.0998735 | + | 0.207390i | ||||
\(47\) | 3.23468e6 | − | 4.05616e6i | 0.662888 | − | 0.831235i | −0.330766 | − | 0.943713i | \(-0.607307\pi\) |
0.993654 | + | 0.112477i | \(0.0358786\pi\) | |||||||
\(48\) | 3.36702e6 | + | 768501.i | 0.634280 | + | 0.144770i | ||||
\(49\) | 5.69098e6 | 0.987194 | ||||||||
\(50\) | 828767.i | 0.132603i | ||||||||
\(51\) | −1.20858e6 | − | 275851.i | −0.178647 | − | 0.0407750i | ||||
\(52\) | 4.08059e6 | + | 5.11689e6i | 0.558097 | + | 0.699831i | ||||
\(53\) | 2.29824e6 | + | 1.00693e7i | 0.291268 | + | 1.27613i | 0.882763 | + | 0.469819i | \(0.155681\pi\) |
−0.591495 | + | 0.806308i | \(0.701462\pi\) | |||||||
\(54\) | 873398. | + | 1.09521e6i | 0.102716 | + | 0.128801i | ||||
\(55\) | 1.41601e6 | + | 2.94037e6i | 0.154744 | + | 0.321330i | ||||
\(56\) | −76213.3 | + | 333912.i | −0.00774959 | + | 0.0339532i | ||||
\(57\) | 9.13202e6 | − | 4.39775e6i | 0.865102 | − | 0.416611i | ||||
\(58\) | 953581. | − | 1.19575e6i | 0.0842646 | − | 0.105665i | ||||
\(59\) | 3.62191e6 | + | 1.58686e7i | 0.298903 | + | 1.30958i | 0.871764 | + | 0.489926i | \(0.162976\pi\) |
−0.572861 | + | 0.819652i | \(0.694167\pi\) | |||||||
\(60\) | −760878. | − | 3.33362e6i | −0.0587097 | − | 0.257224i | ||||
\(61\) | −822825. | + | 1.70861e6i | −0.0594276 | + | 0.123403i | −0.928567 | − | 0.371164i | \(-0.878959\pi\) |
0.869140 | + | 0.494566i | \(0.164673\pi\) | |||||||
\(62\) | 3.22154e6 | + | 2.56909e6i | 0.218020 | + | 0.173865i | ||||
\(63\) | 708433. | − | 564956.i | 0.0449714 | − | 0.0358635i | ||||
\(64\) | −1.29595e7 | − | 6.24099e6i | −0.772449 | − | 0.371992i | ||||
\(65\) | 2.73985e6 | − | 5.68935e6i | 0.153487 | − | 0.318720i | ||||
\(66\) | −1.19513e6 | − | 1.49865e6i | −0.0629855 | − | 0.0789813i | ||||
\(67\) | 6.93187e6 | − | 8.69229e6i | 0.343994 | − | 0.431355i | −0.579497 | − | 0.814974i | \(-0.696751\pi\) |
0.923491 | + | 0.383619i | \(0.125322\pi\) | |||||||
\(68\) | 4.91189e6 | + | 2.36544e6i | 0.229727 | + | 0.110631i | ||||
\(69\) | 2.28998e7 | − | 5.22672e6i | 1.01026 | − | 0.230586i | ||||
\(70\) | 159109. | − | 36315.7i | 0.00662680 | − | 0.00151252i | ||||
\(71\) | −3.08087e6 | − | 2.45691e6i | −0.121238 | − | 0.0966843i | 0.560994 | − | 0.827820i | \(-0.310419\pi\) |
−0.682232 | + | 0.731136i | \(0.738991\pi\) | |||||||
\(72\) | −1.82396e6 | − | 3.78749e6i | −0.0678711 | − | 0.140936i | ||||
\(73\) | −4.32100e7 | − | 9.86240e6i | −1.52157 | − | 0.347289i | −0.621635 | − | 0.783307i | \(-0.713531\pi\) |
−0.899938 | + | 0.436018i | \(0.856388\pi\) | |||||||
\(74\) | −6.26851e6 | + | 3.01875e6i | −0.209044 | + | 0.100670i | ||||
\(75\) | 1.47671e7 | − | 1.17764e7i | 0.466714 | − | 0.372192i | ||||
\(76\) | −4.34574e7 | + | 9.91887e6i | −1.30260 | + | 0.297309i | ||||
\(77\) | −2.87657e6 | + | 2.29399e6i | −0.0818299 | + | 0.0652572i | ||||
\(78\) | −825313. | + | 3.61593e6i | −0.0222967 | + | 0.0976881i | ||||
\(79\) | 6.29294e7 | 1.61564 | 0.807821 | − | 0.589428i | \(-0.200647\pi\) | ||||
0.807821 | + | 0.589428i | \(0.200647\pi\) | |||||||
\(80\) | 1.46544e7i | 0.357773i | ||||||||
\(81\) | 2.23519e6 | − | 9.79299e6i | 0.0519246 | − | 0.227497i | ||||
\(82\) | 6.23075e6 | + | 4.96886e6i | 0.137811 | + | 0.109901i | ||||
\(83\) | −3.31418e7 | − | 1.59602e7i | −0.698334 | − | 0.336300i | 0.0508087 | − | 0.998708i | \(-0.483820\pi\) |
−0.749143 | + | 0.662408i | \(0.769534\pi\) | |||||||
\(84\) | 3.47315e6 | − | 1.67258e6i | 0.0697600 | − | 0.0335946i | ||||
\(85\) | − | 5.26015e6i | − | 0.100768i | ||||||
\(86\) | −8.16469e6 | − | 2.43638e6i | −0.149261 | − | 0.0445401i | ||||
\(87\) | −3.48560e7 | −0.608417 | ||||||||
\(88\) | 7.40612e6 | + | 1.53790e7i | 0.123498 | + | 0.256446i | ||||
\(89\) | −3.76148e7 | + | 7.81080e7i | −0.599513 | + | 1.24490i | 0.351626 | + | 0.936141i | \(0.385629\pi\) |
−0.951139 | + | 0.308762i | \(0.900085\pi\) | |||||||
\(90\) | −1.24892e6 | + | 1.56609e6i | −0.0190355 | + | 0.0238697i | ||||
\(91\) | 6.94057e6 | + | 1.58414e6i | 0.101211 | + | 0.0231008i | ||||
\(92\) | −1.03298e8 | −1.44192 | ||||||||
\(93\) | − | 9.39074e7i | − | 1.25536i | ||||||
\(94\) | −1.26056e7 | − | 2.87715e6i | −0.161455 | − | 0.0368511i | ||||
\(95\) | 2.68152e7 | + | 3.36251e7i | 0.329220 | + | 0.412829i | ||||
\(96\) | −5.99385e6 | − | 2.62608e7i | −0.0705701 | − | 0.309188i | ||||
\(97\) | −2.48214e7 | − | 3.11250e7i | −0.280375 | − | 0.351579i | 0.621625 | − | 0.783315i | \(-0.286473\pi\) |
−0.902000 | + | 0.431736i | \(0.857901\pi\) | |||||||
\(98\) | −6.15388e6 | − | 1.27787e7i | −0.0667182 | − | 0.138542i | ||||
\(99\) | 1.00488e7 | − | 4.40266e7i | 0.104610 | − | 0.458326i | ||||
\(100\) | −7.48387e7 | + | 3.60404e7i | −0.748387 | + | 0.360404i | ||||
\(101\) | 5.05043e7 | − | 6.33303e7i | 0.485336 | − | 0.608592i | −0.477516 | − | 0.878623i | \(-0.658463\pi\) |
0.962852 | + | 0.270031i | \(0.0870340\pi\) | |||||||
\(102\) | 687486. | + | 3.01207e6i | 0.00635131 | + | 0.0278269i | ||||
\(103\) | 8.68072e6 | + | 3.80327e7i | 0.0771271 | + | 0.337916i | 0.998739 | − | 0.0501959i | \(-0.0159846\pi\) |
−0.921612 | + | 0.388112i | \(0.873127\pi\) | |||||||
\(104\) | 1.43302e7 | − | 2.97569e7i | 0.122495 | − | 0.254363i | ||||
\(105\) | −2.90795e6 | − | 2.31901e6i | −0.0239237 | − | 0.0190786i | ||||
\(106\) | 2.01246e7 | − | 1.60488e7i | 0.159405 | − | 0.127122i | ||||
\(107\) | −2.01163e7 | − | 9.68749e6i | −0.153466 | − | 0.0739054i | 0.355574 | − | 0.934648i | \(-0.384285\pi\) |
−0.509040 | + | 0.860743i | \(0.670000\pi\) | |||||||
\(108\) | −6.09173e7 | + | 1.26496e8i | −0.447760 | + | 0.929783i | ||||
\(109\) | −7.66203e7 | − | 9.60789e7i | −0.542798 | − | 0.680647i | 0.432476 | − | 0.901645i | \(-0.357640\pi\) |
−0.975274 | + | 0.220998i | \(0.929068\pi\) | |||||||
\(110\) | 5.07120e6 | − | 6.35908e6i | 0.0346369 | − | 0.0434334i | ||||
\(111\) | 1.42861e8 | + | 6.87983e7i | 0.941071 | + | 0.453196i | ||||
\(112\) | −1.61068e7 | + | 3.67627e6i | −0.102362 | + | 0.0233634i | ||||
\(113\) | 1.65901e8 | − | 3.78657e7i | 1.01750 | − | 0.232238i | 0.318929 | − | 0.947779i | \(-0.396677\pi\) |
0.698571 | + | 0.715541i | \(0.253820\pi\) | |||||||
\(114\) | −1.97496e7 | − | 1.57498e7i | −0.116934 | − | 0.0932515i | ||||
\(115\) | 4.32440e7 | + | 8.97970e7i | 0.247249 | + | 0.513417i | ||||
\(116\) | 1.49446e8 | + | 3.41101e7i | 0.825378 | + | 0.188387i | ||||
\(117\) | −7.87252e7 | + | 3.79120e7i | −0.420117 | + | 0.202318i | ||||
\(118\) | 3.17153e7 | − | 2.52921e7i | 0.163584 | − | 0.130454i | ||||
\(119\) | 5.78150e6 | − | 1.31959e6i | 0.0288305 | − | 0.00658038i | ||||
\(120\) | −1.34909e7 | + | 1.07587e7i | −0.0650605 | + | 0.0518840i | ||||
\(121\) | 6.89649e6 | − | 3.02155e7i | 0.0321726 | − | 0.140958i | ||||
\(122\) | 4.72632e6 | 0.0213345 | ||||||||
\(123\) | − | 1.81626e8i | − | 0.793518i | ||||||
\(124\) | −9.18978e7 | + | 4.02631e8i | −0.388703 | + | 1.70302i | ||||
\(125\) | 1.36265e8 | + | 1.08667e8i | 0.558140 | + | 0.445102i | ||||
\(126\) | −2.03462e6 | − | 979823.i | −0.00807238 | − | 0.00388745i | ||||
\(127\) | 3.10009e8 | − | 1.49293e8i | 1.19168 | − | 0.573883i | 0.270387 | − | 0.962752i | \(-0.412848\pi\) |
0.921293 | + | 0.388869i | \(0.127134\pi\) | |||||||
\(128\) | 1.57253e8i | 0.585814i | ||||||||
\(129\) | 7.26044e7 | + | 1.80100e8i | 0.262183 | + | 0.650360i | ||||
\(130\) | −1.57377e7 | −0.0551021 | ||||||||
\(131\) | −1.45287e8 | − | 3.01692e8i | −0.493335 | − | 1.02442i | −0.987873 | − | 0.155265i | \(-0.950377\pi\) |
0.494538 | − | 0.869156i | \(-0.335337\pi\) | |||||||
\(132\) | 8.33575e7 | − | 1.73094e8i | 0.274567 | − | 0.570145i | ||||
\(133\) | −3.02308e7 | + | 3.79082e7i | −0.0966147 | + | 0.121151i | ||||
\(134\) | −2.70136e7 | − | 6.16568e6i | −0.0837844 | − | 0.0191232i | ||||
\(135\) | 1.35465e8 | 0.407842 | ||||||||
\(136\) | − | 2.75121e7i | − | 0.0804207i | ||||||
\(137\) | 2.17534e8 | + | 4.96508e7i | 0.617512 | + | 0.140943i | 0.519823 | − | 0.854274i | \(-0.325998\pi\) |
0.0976889 | + | 0.995217i | \(0.468855\pi\) | |||||||
\(138\) | −3.64986e7 | − | 4.57678e7i | −0.100638 | − | 0.126195i | ||||
\(139\) | 1.91595e7 | + | 8.39434e7i | 0.0513246 | + | 0.224868i | 0.994085 | − | 0.108602i | \(-0.0346375\pi\) |
−0.942761 | + | 0.333470i | \(0.891780\pi\) | |||||||
\(140\) | 1.01985e7 | + | 1.27885e7i | 0.0265476 | + | 0.0332896i | ||||
\(141\) | 1.27854e8 | + | 2.65492e8i | 0.323473 | + | 0.671698i | ||||
\(142\) | −2.18534e6 | + | 9.57461e6i | −0.00537485 | + | 0.0235488i | ||||
\(143\) | 3.19661e8 | − | 1.53941e8i | 0.764444 | − | 0.368137i | ||||
\(144\) | 1.26429e8 | − | 1.58537e8i | 0.294034 | − | 0.368707i | ||||
\(145\) | −3.29111e7 | − | 1.44193e8i | −0.0744510 | − | 0.326191i | ||||
\(146\) | 2.45794e7 | + | 1.07689e8i | 0.0540954 | + | 0.237007i | ||||
\(147\) | −1.40249e8 | + | 2.91229e8i | −0.300351 | + | 0.623686i | ||||
\(148\) | −5.45195e8 | − | 4.34779e8i | −1.13633 | − | 0.906194i | ||||
\(149\) | −3.11982e8 | + | 2.48798e8i | −0.632973 | + | 0.504779i | −0.886608 | − | 0.462521i | \(-0.846945\pi\) |
0.253636 | + | 0.967300i | \(0.418374\pi\) | |||||||
\(150\) | −4.24112e7 | − | 2.04242e7i | −0.0837753 | − | 0.0403440i | ||||
\(151\) | 9.15975e7 | − | 1.90204e8i | 0.176188 | − | 0.365858i | −0.794109 | − | 0.607775i | \(-0.792062\pi\) |
0.970297 | + | 0.241918i | \(0.0777764\pi\) | |||||||
\(152\) | 1.40251e8 | + | 1.75869e8i | 0.262743 | + | 0.329469i | ||||
\(153\) | −4.53814e7 | + | 5.69065e7i | −0.0828157 | + | 0.103848i | ||||
\(154\) | 8.26153e6 | + | 3.97854e6i | 0.0146885 | + | 0.00707361i | ||||
\(155\) | 3.88478e8 | − | 8.86676e7i | 0.673038 | − | 0.153617i | ||||
\(156\) | −3.62414e8 | + | 8.27185e7i | −0.611936 | + | 0.139670i | ||||
\(157\) | −3.23264e8 | − | 2.57795e8i | −0.532058 | − | 0.424302i | 0.320257 | − | 0.947331i | \(-0.396231\pi\) |
−0.852315 | + | 0.523028i | \(0.824802\pi\) | |||||||
\(158\) | −6.80480e7 | − | 1.41303e8i | −0.109191 | − | 0.226738i | ||||
\(159\) | −5.71921e8 | − | 1.30537e8i | −0.894844 | − | 0.204242i | ||||
\(160\) | 1.02977e8 | − | 4.95909e7i | 0.157130 | − | 0.0756697i | ||||
\(161\) | −8.78486e7 | + | 7.00569e7i | −0.130747 | + | 0.104267i | ||||
\(162\) | −2.44064e7 | + | 5.57060e6i | −0.0354359 | + | 0.00808802i | ||||
\(163\) | −1.55696e8 | + | 1.24163e8i | −0.220560 | + | 0.175891i | −0.727536 | − | 0.686069i | \(-0.759335\pi\) |
0.506976 | + | 0.861960i | \(0.330763\pi\) | |||||||
\(164\) | −1.77739e8 | + | 7.78724e8i | −0.245701 | + | 1.07649i | ||||
\(165\) | −1.85366e8 | −0.250089 | ||||||||
\(166\) | 9.16758e7i | 0.120732i | ||||||||
\(167\) | 1.93486e8 | − | 8.47718e8i | 0.248762 | − | 1.08990i | −0.684022 | − | 0.729461i | \(-0.739771\pi\) |
0.932784 | − | 0.360436i | \(-0.117372\pi\) | |||||||
\(168\) | −1.52094e7 | − | 1.21291e7i | −0.0190930 | − | 0.0152262i | ||||
\(169\) | 1.16432e8 | + | 5.60709e7i | 0.142734 | + | 0.0687370i | ||||
\(170\) | −1.18113e7 | + | 5.68801e6i | −0.0141417 | + | 0.00681027i | ||||
\(171\) | − | 5.95116e8i | − | 0.696013i | ||||||
\(172\) | −1.35048e8 | − | 8.43232e8i | −0.154303 | − | 0.963459i | ||||
\(173\) | −2.72963e8 | −0.304732 | −0.152366 | − | 0.988324i | \(-0.548689\pi\) | ||||
−0.152366 | + | 0.988324i | \(0.548689\pi\) | |||||||
\(174\) | 3.76912e7 | + | 7.82666e7i | 0.0411190 | + | 0.0853846i | ||||
\(175\) | −3.92030e7 | + | 8.14058e7i | −0.0417991 | + | 0.0867967i | ||||
\(176\) | −5.13362e8 | + | 6.43736e8i | −0.535024 | + | 0.670899i | ||||
\(177\) | −9.01318e8 | − | 2.05720e8i | −0.918301 | − | 0.209596i | ||||
\(178\) | 2.16060e8 | 0.215226 | ||||||||
\(179\) | 1.16515e9i | 1.13493i | 0.823396 | + | 0.567467i | \(0.192077\pi\) | ||||
−0.823396 | + | 0.567467i | \(0.807923\pi\) | |||||||
\(180\) | −1.95732e8 | − | 4.46745e7i | −0.186454 | − | 0.0425569i | ||||
\(181\) | −6.90904e8 | − | 8.66366e8i | −0.643730 | − | 0.807211i | 0.347734 | − | 0.937593i | \(-0.386951\pi\) |
−0.991464 | + | 0.130382i | \(0.958380\pi\) | |||||||
\(182\) | −3.94804e6 | − | 1.72975e7i | −0.00359829 | − | 0.0157652i | ||||
\(183\) | −6.71587e7 | − | 8.42143e7i | −0.0598822 | − | 0.0750899i | ||||
\(184\) | 2.26178e8 | + | 4.69664e8i | 0.197324 | + | 0.409747i | ||||
\(185\) | −1.49716e8 | + | 6.55950e8i | −0.127815 | + | 0.559995i | ||||
\(186\) | −2.10862e8 | + | 1.01546e8i | −0.176176 | + | 0.0848419i | ||||
\(187\) | 1.84270e8 | − | 2.31067e8i | 0.150691 | − | 0.188961i | ||||
\(188\) | −2.88367e8 | − | 1.26342e9i | −0.230842 | − | 1.01138i | ||||
\(189\) | 3.39834e7 | + | 1.48891e8i | 0.0266330 | + | 0.116687i | ||||
\(190\) | 4.65064e7 | − | 9.65716e7i | 0.0356861 | − | 0.0741029i | ||||
\(191\) | 1.34907e9 | + | 1.07584e9i | 1.01368 | + | 0.808380i | 0.981570 | − | 0.191104i | \(-0.0612068\pi\) |
0.0321071 | + | 0.999484i | \(0.489778\pi\) | |||||||
\(192\) | 6.38751e8 | − | 5.09387e8i | 0.470031 | − | 0.374837i | ||||
\(193\) | 6.05617e8 | + | 2.91650e8i | 0.436484 | + | 0.210200i | 0.639204 | − | 0.769037i | \(-0.279264\pi\) |
−0.202720 | + | 0.979237i | \(0.564978\pi\) | |||||||
\(194\) | −4.30486e7 | + | 8.93913e7i | −0.0303915 | + | 0.0631085i | ||||
\(195\) | 2.23625e8 | + | 2.80417e8i | 0.154662 | + | 0.193939i | ||||
\(196\) | 8.86317e8 | − | 1.11141e9i | 0.600572 | − | 0.753093i | ||||
\(197\) | 1.52676e7 | + | 7.35248e6i | 0.0101369 | + | 0.00488168i | 0.438945 | − | 0.898514i | \(-0.355352\pi\) |
−0.428808 | + | 0.903395i | \(0.641066\pi\) | |||||||
\(198\) | −1.09725e8 | + | 2.50439e7i | −0.0713910 | + | 0.0162945i | ||||
\(199\) | −1.57549e9 | + | 3.59595e8i | −1.00462 | + | 0.229299i | −0.693024 | − | 0.720915i | \(-0.743722\pi\) |
−0.311600 | + | 0.950214i | \(0.600865\pi\) | |||||||
\(200\) | 3.27729e8 | + | 2.61355e8i | 0.204831 | + | 0.163347i | ||||
\(201\) | 2.73989e8 | + | 5.68944e8i | 0.167861 | + | 0.348566i | ||||
\(202\) | −1.96816e8 | − | 4.49219e7i | −0.118210 | − | 0.0269807i | ||||
\(203\) | 1.50228e8 | − | 7.23460e7i | 0.0884641 | − | 0.0426021i | ||||
\(204\) | −2.42098e8 | + | 1.93066e8i | −0.139788 | + | 0.111477i | ||||
\(205\) | 7.51352e8 | − | 1.71491e8i | 0.425430 | − | 0.0971016i | ||||
\(206\) | 7.60128e7 | − | 6.06182e7i | 0.0422103 | − | 0.0336616i | ||||
\(207\) | 3.06884e8 | − | 1.34455e9i | 0.167145 | − | 0.732309i | ||||
\(208\) | 1.59314e9 | 0.851142 | ||||||||
\(209\) | 2.41645e9i | 1.26646i | ||||||||
\(210\) | −2.06268e6 | + | 9.03721e6i | −0.00106061 | + | 0.00464683i | ||||
\(211\) | −2.46695e9 | − | 1.96733e9i | −1.24460 | − | 0.992538i | −0.999736 | − | 0.0229817i | \(-0.992684\pi\) |
−0.244868 | − | 0.969557i | \(-0.578745\pi\) | |||||||
\(212\) | 2.32438e9 | + | 1.11936e9i | 1.15071 | + | 0.554150i | ||||
\(213\) | 2.01655e8 | − | 9.71118e7i | 0.0979693 | − | 0.0471795i | ||||
\(214\) | 5.56450e7i | 0.0265321i | ||||||||
\(215\) | −6.76486e8 | + | 4.70401e8i | −0.316596 | + | 0.220148i | ||||
\(216\) | 7.08520e8 | 0.325489 | ||||||||
\(217\) | 1.94911e8 | + | 4.04737e8i | 0.0879018 | + | 0.182530i | ||||
\(218\) | −1.32885e8 | + | 2.75939e8i | −0.0588370 | + | 0.122176i | ||||
\(219\) | 1.56957e9 | − | 1.96817e9i | 0.682344 | − | 0.855632i | ||||
\(220\) | 7.94763e8 | + | 1.81399e8i | 0.339271 | + | 0.0774364i | ||||
\(221\) | −5.71855e8 | −0.239727 | ||||||||
\(222\) | − | 3.95178e8i | − | 0.162698i | ||||||
\(223\) | 1.34717e9 | + | 3.07484e8i | 0.544759 | + | 0.124338i | 0.486040 | − | 0.873937i | \(-0.338441\pi\) |
0.0587195 | + | 0.998275i | \(0.481298\pi\) | |||||||
\(224\) | 8.03392e7 | + | 1.00742e8i | 0.0319106 | + | 0.0400147i | ||||
\(225\) | −2.46773e8 | − | 1.08118e9i | −0.0962870 | − | 0.421861i | ||||
\(226\) | −2.64419e8 | − | 3.31572e8i | −0.101358 | − | 0.127099i | ||||
\(227\) | 1.17558e9 | + | 2.44112e9i | 0.442741 | + | 0.919360i | 0.996250 | + | 0.0865177i | \(0.0275739\pi\) |
−0.553510 | + | 0.832843i | \(0.686712\pi\) | |||||||
\(228\) | 5.63379e8 | − | 2.46833e9i | 0.208479 | − | 0.913405i | ||||
\(229\) | 2.54108e9 | − | 1.22372e9i | 0.924008 | − | 0.444979i | 0.0895078 | − | 0.995986i | \(-0.471471\pi\) |
0.834501 | + | 0.551007i | \(0.185756\pi\) | |||||||
\(230\) | 1.54871e8 | − | 1.94202e8i | 0.0553425 | − | 0.0693973i | ||||
\(231\) | −4.65020e7 | − | 2.03738e8i | −0.0163314 | − | 0.0715525i | ||||
\(232\) | −1.72135e8 | − | 7.54171e8i | −0.0594177 | − | 0.260326i | ||||
\(233\) | −1.39570e9 | + | 2.89820e9i | −0.473553 | + | 0.983343i | 0.518210 | + | 0.855254i | \(0.326599\pi\) |
−0.991763 | + | 0.128089i | \(0.959116\pi\) | |||||||
\(234\) | 1.70257e8 | + | 1.35776e8i | 0.0567861 | + | 0.0452854i | ||||
\(235\) | −9.77570e8 | + | 7.79586e8i | −0.320536 | + | 0.255619i | ||||
\(236\) | 3.66311e9 | + | 1.76406e9i | 1.18087 | + | 0.568677i | ||||
\(237\) | −1.55083e9 | + | 3.22034e9i | −0.491555 | + | 1.02072i | ||||
\(238\) | −9.21480e6 | − | 1.15550e7i | −0.00287196 | − | 0.00360132i | ||||
\(239\) | −3.69887e9 | + | 4.63824e9i | −1.13365 | + | 1.42155i | −0.241155 | + | 0.970487i | \(0.577526\pi\) |
−0.892493 | + | 0.451062i | \(0.851045\pi\) | |||||||
\(240\) | −7.49921e8 | − | 3.61143e8i | −0.226032 | − | 0.108851i | ||||
\(241\) | −2.14597e9 | + | 4.89803e8i | −0.636143 | + | 0.145196i | −0.528417 | − | 0.848985i | \(-0.677214\pi\) |
−0.107726 | + | 0.994181i | \(0.534357\pi\) | |||||||
\(242\) | −7.53041e7 | + | 1.71877e7i | −0.0219562 | + | 0.00501136i | ||||
\(243\) | −2.43716e9 | − | 1.94357e9i | −0.698969 | − | 0.557410i | ||||
\(244\) | 2.05532e8 | + | 4.26792e8i | 0.0579857 | + | 0.120409i | ||||
\(245\) | −1.33719e9 | − | 3.05204e8i | −0.371131 | − | 0.0847083i | ||||
\(246\) | −4.07827e8 | + | 1.96399e8i | −0.111361 | + | 0.0536289i | ||||
\(247\) | 3.65554e9 | − | 2.91520e9i | 0.982119 | − | 0.783214i | ||||
\(248\) | 2.03185e9 | − | 4.63757e8i | 0.537137 | − | 0.122598i | ||||
\(249\) | 1.63349e9 | − | 1.30267e9i | 0.424933 | − | 0.338873i | ||||
\(250\) | 9.66561e7 | − | 4.23478e8i | 0.0247440 | − | 0.108410i | ||||
\(251\) | 3.71313e9 | 0.935504 | 0.467752 | − | 0.883860i | \(-0.345064\pi\) | ||||
0.467752 | + | 0.883860i | \(0.345064\pi\) | |||||||
\(252\) | − | 2.26338e8i | − | 0.0561250i | ||||||
\(253\) | −1.24609e9 | + | 5.45949e9i | −0.304136 | + | 1.33251i | ||||
\(254\) | −6.70450e8 | − | 5.34666e8i | −0.161076 | − | 0.128454i | ||||
\(255\) | 2.69182e8 | + | 1.29631e8i | 0.0636628 | + | 0.0306584i | ||||
\(256\) | −2.96454e9 | + | 1.42765e9i | −0.690236 | + | 0.332400i | ||||
\(257\) | − | 8.43650e9i | − | 1.93388i | −0.255002 | − | 0.966941i | \(-0.582076\pi\) | ||
0.255002 | − | 0.966941i | \(-0.417924\pi\) | |||||||
\(258\) | 3.25890e8 | − | 3.57776e8i | 0.0735516 | − | 0.0807482i | ||||
\(259\) | −7.58521e8 | −0.168566 | ||||||||
\(260\) | −6.84383e8 | − | 1.42114e9i | −0.149763 | − | 0.310987i | ||||
\(261\) | −8.87965e8 | + | 1.84388e9i | −0.191352 | + | 0.397347i | ||||
\(262\) | −5.20322e8 | + | 6.52463e8i | −0.110425 | + | 0.138468i | ||||
\(263\) | −7.73250e9 | − | 1.76489e9i | −1.61621 | − | 0.368888i | −0.683620 | − | 0.729838i | \(-0.739596\pi\) |
−0.932585 | + | 0.360949i | \(0.882453\pi\) | |||||||
\(264\) | −9.69519e8 | −0.199591 | ||||||||
\(265\) | − | 2.48919e9i | − | 0.504747i | ||||||
\(266\) | 1.17810e8 | + | 2.68893e7i | 0.0235318 | + | 0.00537098i | ||||
\(267\) | −3.07011e9 | − | 3.84979e9i | −0.604100 | − | 0.757517i | ||||
\(268\) | −6.17967e8 | − | 2.70749e9i | −0.119791 | − | 0.524841i | ||||
\(269\) | 3.10552e9 | + | 3.89420e9i | 0.593097 | + | 0.743720i | 0.984284 | − | 0.176591i | \(-0.0565070\pi\) |
−0.391187 | + | 0.920311i | \(0.627936\pi\) | |||||||
\(270\) | −1.46483e8 | − | 3.04176e8i | −0.0275635 | − | 0.0572361i | ||||
\(271\) | −1.98717e8 | + | 8.70636e8i | −0.0368432 | + | 0.161421i | −0.990003 | − | 0.141047i | \(-0.954953\pi\) |
0.953160 | + | 0.302467i | \(0.0978104\pi\) | |||||||
\(272\) | 1.19567e9 | − | 5.75803e8i | 0.218441 | − | 0.105196i | ||||
\(273\) | −2.52110e8 | + | 3.16136e8i | −0.0453879 | + | 0.0569146i | ||||
\(274\) | −1.23741e8 | − | 5.42146e8i | −0.0219539 | − | 0.0961865i | ||||
\(275\) | 1.00202e9 | + | 4.39012e9i | 0.175204 | + | 0.767618i | ||||
\(276\) | 2.54568e9 | − | 5.28617e9i | 0.438701 | − | 0.910971i | ||||
\(277\) | −7.39544e9 | − | 5.89766e9i | −1.25616 | − | 1.00175i | −0.999377 | − | 0.0352841i | \(-0.988766\pi\) |
−0.256782 | − | 0.966469i | \(-0.582662\pi\) | |||||||
\(278\) | 1.67771e8 | − | 1.33793e8i | 0.0280890 | − | 0.0224003i | ||||
\(279\) | −4.96769e9 | − | 2.39231e9i | −0.819856 | − | 0.394822i | ||||
\(280\) | 3.58151e7 | − | 7.43708e7i | 0.00582685 | − | 0.0120996i | ||||
\(281\) | 2.64933e9 | + | 3.32216e9i | 0.424924 | + | 0.532838i | 0.947500 | − | 0.319755i | \(-0.103601\pi\) |
−0.522576 | + | 0.852592i | \(0.675029\pi\) | |||||||
\(282\) | 4.57888e8 | − | 5.74173e8i | 0.0724040 | − | 0.0907917i | ||||
\(283\) | −2.88352e9 | − | 1.38863e9i | −0.449550 | − | 0.216492i | 0.195389 | − | 0.980726i | \(-0.437403\pi\) |
−0.644939 | + | 0.764234i | \(0.723117\pi\) | |||||||
\(284\) | −9.59634e8 | + | 2.19030e8i | −0.147514 | + | 0.0336690i | ||||
\(285\) | −2.38156e9 | + | 5.43576e8i | −0.360980 | + | 0.0823912i | ||||
\(286\) | −6.91325e8 | − | 5.51313e8i | −0.103328 | − | 0.0824013i | ||||
\(287\) | 3.76976e8 | + | 7.82799e8i | 0.0555631 | + | 0.115378i | ||||
\(288\) | −1.54189e9 | − | 3.51925e8i | −0.224121 | − | 0.0511541i | ||||
\(289\) | 5.85576e9 | − | 2.81998e9i | 0.839444 | − | 0.404255i | ||||
\(290\) | −2.88187e8 | + | 2.29821e8i | −0.0407457 | + | 0.0324936i | ||||
\(291\) | 2.20449e9 | − | 5.03160e8i | 0.307423 | − | 0.0701672i | ||||
\(292\) | −8.65561e9 | + | 6.90262e9i | −1.19060 | + | 0.949473i | ||||
\(293\) | −2.03212e9 | + | 8.90330e9i | −0.275727 | + | 1.20804i | 0.627412 | + | 0.778688i | \(0.284114\pi\) |
−0.903138 | + | 0.429350i | \(0.858743\pi\) | |||||||
\(294\) | 8.05590e8 | 0.107826 | ||||||||
\(295\) | − | 3.92283e9i | − | 0.517978i | ||||||
\(296\) | −7.83059e8 | + | 3.43081e9i | −0.102006 | + | 0.446920i | ||||
\(297\) | 5.95069e9 | + | 4.74551e9i | 0.764788 | + | 0.609898i | ||||
\(298\) | 8.96015e8 | + | 4.31498e8i | 0.113619 | + | 0.0547159i | ||||
\(299\) | 9.76225e9 | − | 4.70125e9i | 1.22142 | − | 0.588205i | ||||
\(300\) | − | 4.71797e9i | − | 0.582466i | ||||||
\(301\) | −6.86731e8 | − | 6.25527e8i | −0.0836605 | − | 0.0762044i | ||||
\(302\) | −5.26137e8 | −0.0632515 | ||||||||
\(303\) | 1.99623e9 | + | 4.14522e9i | 0.236832 | + | 0.491786i | ||||
\(304\) | −4.70789e9 | + | 9.77604e9i | −0.551229 | + | 1.14464i | ||||
\(305\) | 2.84968e8 | − | 3.57338e8i | 0.0329304 | − | 0.0412934i | ||||
\(306\) | 1.76852e8 | + | 4.03653e7i | 0.0201709 | + | 0.00460387i | ||||
\(307\) | −9.27678e8 | −0.104434 | −0.0522172 | − | 0.998636i | \(-0.516629\pi\) | ||||
−0.0522172 | + | 0.998636i | \(0.516629\pi\) | |||||||
\(308\) | 9.19041e8i | 0.102125i | ||||||||
\(309\) | −2.16021e9 | − | 4.93054e8i | −0.236953 | − | 0.0540830i | ||||
\(310\) | −6.19173e8 | − | 7.76418e8i | −0.0670448 | − | 0.0840715i | ||||
\(311\) | 2.56726e9 | + | 1.12479e10i | 0.274427 | + | 1.20235i | 0.904727 | + | 0.425993i | \(0.140075\pi\) |
−0.630299 | + | 0.776352i | \(0.717068\pi\) | |||||||
\(312\) | 1.16962e9 | + | 1.46666e9i | 0.123432 | + | 0.154779i | ||||
\(313\) | 5.21465e9 | + | 1.08283e10i | 0.543311 | + | 1.12820i | 0.974178 | + | 0.225781i | \(0.0724934\pi\) |
−0.430867 | + | 0.902415i | \(0.641792\pi\) | |||||||
\(314\) | −2.29300e8 | + | 1.00463e9i | −0.0235877 | + | 0.103344i | ||||
\(315\) | −1.96756e8 | + | 9.47526e7i | −0.0199841 | + | 0.00962385i | ||||
\(316\) | 9.80067e9 | − | 1.22897e10i | 0.982896 | − | 1.23251i | ||||
\(317\) | −1.60795e9 | − | 7.04490e9i | −0.159234 | − | 0.697650i | −0.990005 | − | 0.141035i | \(-0.954957\pi\) |
0.830771 | − | 0.556615i | \(-0.187900\pi\) | |||||||
\(318\) | 3.25329e8 | + | 1.42536e9i | 0.0318137 | + | 0.139385i | ||||
\(319\) | 3.60556e9 | − | 7.48702e9i | 0.348185 | − | 0.723013i | ||||
\(320\) | 2.71035e9 | + | 2.16143e9i | 0.258479 | + | 0.206130i | ||||
\(321\) | 9.91493e8 | − | 7.90689e8i | 0.0933834 | − | 0.0744707i | ||||
\(322\) | 2.52302e8 | + | 1.21502e8i | 0.0234691 | + | 0.0113021i | ||||
\(323\) | 1.68989e9 | − | 3.50908e9i | 0.155256 | − | 0.322392i | ||||
\(324\) | −1.56439e9 | − | 1.96168e9i | −0.141960 | − | 0.178012i | ||||
\(325\) | 5.43242e9 | − | 6.81204e9i | 0.486923 | − | 0.610582i | ||||
\(326\) | 4.47160e8 | + | 2.15341e8i | 0.0395906 | + | 0.0190658i | ||||
\(327\) | 6.80496e9 | − | 1.55319e9i | 0.595161 | − | 0.135842i | ||||
\(328\) | 3.92978e9 | − | 8.96948e8i | 0.339526 | − | 0.0774947i | ||||
\(329\) | −1.10209e9 | − | 8.78888e8i | −0.0940663 | − | 0.0750153i | ||||
\(330\) | 2.00444e8 | + | 4.16226e8i | 0.0169020 | + | 0.0350973i | ||||
\(331\) | −1.36661e10 | − | 3.11920e9i | −1.13850 | − | 0.259855i | −0.388599 | − | 0.921407i | \(-0.627041\pi\) |
−0.749899 | + | 0.661552i | \(0.769898\pi\) | |||||||
\(332\) | −8.27844e9 | + | 3.98669e9i | −0.681391 | + | 0.328141i | ||||
\(333\) | 7.27884e9 | − | 5.80468e9i | 0.591950 | − | 0.472065i | ||||
\(334\) | −2.11271e9 | + | 4.82213e8i | −0.169767 | + | 0.0387483i | ||||
\(335\) | −2.09492e9 | + | 1.67064e9i | −0.166337 | + | 0.132649i | ||||
\(336\) | 2.08808e8 | − | 9.14846e8i | 0.0163828 | − | 0.0717779i | ||||
\(337\) | 1.42749e10 | 1.10676 | 0.553381 | − | 0.832928i | \(-0.313337\pi\) | ||||
0.553381 | + | 0.832928i | \(0.313337\pi\) | |||||||
\(338\) | − | 3.22072e8i | − | 0.0246766i | ||||||
\(339\) | −2.15073e9 | + | 9.42294e9i | −0.162849 | + | 0.713490i | ||||
\(340\) | −1.02727e9 | − | 8.19220e8i | −0.0768721 | − | 0.0613034i | ||||
\(341\) | 2.01712e10 | + | 9.71392e9i | 1.49181 | + | 0.718418i | ||||
\(342\) | −1.33629e9 | + | 6.43523e8i | −0.0976778 | + | 0.0470391i | ||||
\(343\) | − | 3.11262e9i | − | 0.224880i | ||||||
\(344\) | −3.53821e9 | + | 2.46033e9i | −0.252668 | + | 0.175695i | ||||
\(345\) | −5.66097e9 | −0.399590 | ||||||||
\(346\) | 2.95165e8 | + | 6.12917e8i | 0.0205949 | + | 0.0427658i | ||||
\(347\) | 7.91379e9 | − | 1.64332e10i | 0.545842 | − | 1.13345i | −0.427484 | − | 0.904023i | \(-0.640600\pi\) |
0.973325 | − | 0.229429i | \(-0.0736859\pi\) | |||||||
\(348\) | −5.42851e9 | + | 6.80713e9i | −0.370138 | + | 0.464138i | ||||
\(349\) | −2.03415e10 | − | 4.64282e9i | −1.37114 | − | 0.312954i | −0.527359 | − | 0.849642i | \(-0.676818\pi\) |
−0.843780 | + | 0.536689i | \(0.819675\pi\) | |||||||
\(350\) | 2.25182e8 | 0.0150059 | ||||||||
\(351\) | − | 1.47270e10i | − | 0.970255i | ||||||
\(352\) | 6.26078e9 | + | 1.42898e9i | 0.407810 | + | 0.0930800i | ||||
\(353\) | 2.86835e9 | + | 3.59680e9i | 0.184728 | + | 0.231642i | 0.865569 | − | 0.500790i | \(-0.166957\pi\) |
−0.680841 | + | 0.732431i | \(0.738386\pi\) | |||||||
\(354\) | 5.12702e8 | + | 2.24630e9i | 0.0326477 | + | 0.143039i | ||||
\(355\) | 5.92137e8 | + | 7.42516e8i | 0.0372828 | + | 0.0467511i | ||||
\(356\) | 9.39576e9 | + | 1.95105e10i | 0.584968 | + | 1.21470i | ||||
\(357\) | −7.49510e7 | + | 3.28382e8i | −0.00461428 | + | 0.0202165i | ||||
\(358\) | 2.61626e9 | − | 1.25993e9i | 0.159276 | − | 0.0767031i | ||||
\(359\) | 8.85055e9 | − | 1.10982e10i | 0.532834 | − | 0.668153i | −0.440444 | − | 0.897780i | \(-0.645179\pi\) |
0.973279 | + | 0.229627i | \(0.0737505\pi\) | |||||||
\(360\) | 2.25447e8 | + | 9.87748e8i | 0.0134225 | + | 0.0588080i | ||||
\(361\) | 3.30691e9 | + | 1.44885e10i | 0.194712 | + | 0.853091i | ||||
\(362\) | −1.19826e9 | + | 2.48821e9i | −0.0697776 | + | 0.144895i | ||||
\(363\) | 1.37629e9 | + | 1.09755e9i | 0.0792652 | + | 0.0632119i | ||||
\(364\) | 1.39030e9 | − | 1.10873e9i | 0.0791960 | − | 0.0631567i | ||||
\(365\) | 9.62397e9 | + | 4.63466e9i | 0.542229 | + | 0.261124i | ||||
\(366\) | −1.16476e8 | + | 2.41864e8i | −0.00649098 | + | 0.0134787i | ||||
\(367\) | 3.27446e9 | + | 4.10605e9i | 0.180499 | + | 0.226339i | 0.863847 | − | 0.503754i | \(-0.168048\pi\) |
−0.683348 | + | 0.730093i | \(0.739477\pi\) | |||||||
\(368\) | −1.56778e10 | + | 1.96593e10i | −0.854855 | + | 1.07195i | ||||
\(369\) | −9.60797e9 | − | 4.62695e9i | −0.518234 | − | 0.249568i | ||||
\(370\) | 1.63478e9 | − | 3.73128e8i | 0.0872273 | − | 0.0199091i | ||||
\(371\) | 2.73590e9 | − | 6.24450e8i | 0.144412 | − | 0.0329611i | ||||
\(372\) | −1.83394e10 | − | 1.46252e10i | −0.957667 | − | 0.763714i | ||||
\(373\) | 7.97366e9 | + | 1.65575e10i | 0.411929 | + | 0.855380i | 0.998950 | + | 0.0458080i | \(0.0145862\pi\) |
−0.587021 | + | 0.809572i | \(0.699699\pi\) | |||||||
\(374\) | −7.18103e8 | − | 1.63902e8i | −0.0367029 | − | 0.00837719i | ||||
\(375\) | −8.91904e9 | + | 4.29518e9i | −0.451017 | + | 0.217198i | ||||
\(376\) | −5.11297e9 | + | 4.07746e9i | −0.255813 | + | 0.204004i | ||||
\(377\) | −1.56759e10 | + | 3.57792e9i | −0.776009 | + | 0.177119i | ||||
\(378\) | 2.97576e8 | − | 2.37309e8i | 0.0145757 | − | 0.0116238i | ||||
\(379\) | 4.99726e9 | − | 2.18944e10i | 0.242200 | − | 1.06115i | −0.696809 | − | 0.717257i | \(-0.745397\pi\) |
0.939009 | − | 0.343892i | \(-0.111745\pi\) | |||||||
\(380\) | 1.07430e10 | 0.515216 | ||||||||
\(381\) | 1.95436e10i | 0.927478i | ||||||||
\(382\) | 9.56928e8 | − | 4.19258e9i | 0.0449393 | − | 0.196892i | ||||
\(383\) | −2.40921e10 | − | 1.92128e10i | −1.11964 | − | 0.892884i | −0.124587 | − | 0.992209i | \(-0.539760\pi\) |
−0.995055 | + | 0.0993243i | \(0.968332\pi\) | |||||||
\(384\) | −8.04726e9 | − | 3.87535e9i | −0.370103 | − | 0.178232i | ||||
\(385\) | 7.98922e8 | − | 3.84740e8i | 0.0363631 | − | 0.0175116i | ||||
\(386\) | − | 1.67524e9i | − | 0.0754619i | ||||||
\(387\) | 1.13769e10 | + | 7.47315e8i | 0.507199 | + | 0.0333166i | ||||
\(388\) | −9.94419e9 | −0.438776 | ||||||||
\(389\) | −1.53088e10 | − | 3.17891e10i | −0.668565 | − | 1.38829i | −0.908659 | − | 0.417540i | \(-0.862892\pi\) |
0.240094 | − | 0.970750i | \(-0.422822\pi\) | |||||||
\(390\) | 3.87841e8 | − | 8.05360e8i | 0.0167647 | − | 0.0348122i | ||||
\(391\) | 5.62749e9 | − | 7.05665e9i | 0.240773 | − | 0.301920i | ||||
\(392\) | −6.99386e9 | − | 1.59630e9i | −0.296192 | − | 0.0676038i | ||||
\(393\) | 1.90192e10 | 0.797301 | ||||||||
\(394\) | − | 4.22327e7i | − | 0.00175252i | ||||||
\(395\) | −1.47863e10 | − | 3.37487e9i | −0.607393 | − | 0.138634i | ||||
\(396\) | −7.03308e9 | − | 8.81920e9i | −0.285999 | − | 0.358632i | ||||
\(397\) | −3.27632e9 | − | 1.43545e10i | −0.131894 | − | 0.577864i | −0.997077 | − | 0.0764079i | \(-0.975655\pi\) |
0.865183 | − | 0.501456i | \(-0.167202\pi\) | |||||||
\(398\) | 2.51108e9 | + | 3.14880e9i | 0.100076 | + | 0.125491i | ||||
\(399\) | −1.19490e9 | − | 2.48124e9i | −0.0471456 | − | 0.0978988i | ||||
\(400\) | −4.49935e9 | + | 1.97129e10i | −0.175756 | + | 0.770036i | ||||
\(401\) | −2.42817e10 | + | 1.16934e10i | −0.939076 | + | 0.452235i | −0.839843 | − | 0.542829i | \(-0.817353\pi\) |
−0.0992329 | + | 0.995064i | \(0.531639\pi\) | |||||||
\(402\) | 9.81246e8 | − | 1.23044e9i | 0.0375728 | − | 0.0471148i | ||||
\(403\) | −9.63946e9 | − | 4.22332e10i | −0.365454 | − | 1.60116i | ||||
\(404\) | −4.50238e9 | − | 1.97262e10i | −0.169012 | − | 0.740489i | ||||
\(405\) | −1.05039e9 | + | 2.18115e9i | −0.0390417 | + | 0.0810709i | ||||
\(406\) | −3.24895e8 | − | 2.59095e8i | −0.0119575 | − | 0.00953576i | ||||
\(407\) | −2.95555e10 | + | 2.35697e10i | −1.07711 | + | 0.858969i | ||||
\(408\) | 1.40790e9 | + | 6.78009e8i | 0.0508079 | + | 0.0244678i | ||||
\(409\) | −1.13670e10 | + | 2.36038e10i | −0.406212 | + | 0.843507i | 0.593053 | + | 0.805163i | \(0.297922\pi\) |
−0.999265 | + | 0.0383435i | \(0.987792\pi\) | |||||||
\(410\) | −1.19754e9 | − | 1.50166e9i | −0.0423793 | − | 0.0531419i | ||||
\(411\) | −7.90175e9 | + | 9.90848e9i | −0.276921 | + | 0.347248i | ||||
\(412\) | 8.77946e9 | + | 4.22797e9i | 0.304705 | + | 0.146738i | ||||
\(413\) | 4.31163e9 | − | 9.84102e8i | 0.148198 | − | 0.0338252i | ||||
\(414\) | −3.35092e9 | + | 7.64826e8i | −0.114068 | + | 0.0260352i | ||||
\(415\) | 6.93125e9 | + | 5.52749e9i | 0.233679 | + | 0.186353i | ||||
\(416\) | −5.39126e9 | − | 1.11951e10i | −0.180018 | − | 0.373812i | ||||
\(417\) | −4.76788e9 | − | 1.08824e9i | −0.157682 | − | 0.0359898i | ||||
\(418\) | 5.42596e9 | − | 2.61301e9i | 0.177734 | − | 0.0855924i | ||||
\(419\) | 4.60735e10 | − | 3.67424e10i | 1.49484 | − | 1.19210i | 0.564485 | − | 0.825443i | \(-0.309075\pi\) |
0.930357 | − | 0.366654i | \(-0.119497\pi\) | |||||||
\(420\) | −9.05771e8 | + | 2.06736e8i | −0.0291086 | + | 0.00664385i | ||||
\(421\) | −1.59491e9 | + | 1.27190e9i | −0.0507702 | + | 0.0404879i | −0.648546 | − | 0.761175i | \(-0.724623\pi\) |
0.597776 | + | 0.801663i | \(0.296051\pi\) | |||||||
\(422\) | −1.74988e9 | + | 7.66671e9i | −0.0551769 | + | 0.241746i | ||||
\(423\) | 1.73016e10 | 0.540411 | ||||||||
\(424\) | − | 1.30192e10i | − | 0.402828i | ||||||
\(425\) | 1.61503e9 | − | 7.07590e9i | 0.0495022 | − | 0.216883i | ||||
\(426\) | −4.36115e8 | − | 3.47790e8i | −0.0132423 | − | 0.0105604i | ||||
\(427\) | 4.64244e8 | + | 2.23568e8i | 0.0139648 | + | 0.00672509i | ||||
\(428\) | −5.02482e9 | + | 2.41983e9i | −0.149743 | + | 0.0721123i | ||||
\(429\) | 2.01520e10i | 0.594963i | ||||||||
\(430\) | 1.78776e9 | + | 1.01033e9i | 0.0522921 | + | 0.0295523i | ||||
\(431\) | 1.89706e10 | 0.549757 | 0.274879 | − | 0.961479i | \(-0.411362\pi\) | ||||
0.274879 | + | 0.961479i | \(0.411362\pi\) | |||||||
\(432\) | 1.48287e10 | + | 3.07921e10i | 0.425762 | + | 0.884105i | ||||
\(433\) | −7.24033e9 | + | 1.50347e10i | −0.205971 | + | 0.427704i | −0.978207 | − | 0.207632i | \(-0.933424\pi\) |
0.772236 | + | 0.635336i | \(0.219139\pi\) | |||||||
\(434\) | 6.98042e8 | − | 8.75317e8i | 0.0196754 | − | 0.0246721i | ||||
\(435\) | 8.18998e9 | + | 1.86931e9i | 0.228731 | + | 0.0522065i | ||||
\(436\) | −3.06964e10 | −0.849457 | ||||||||
\(437\) | 7.37969e10i | 2.02354i | ||||||||
\(438\) | −6.11662e9 | − | 1.39608e9i | −0.166194 | − | 0.0379327i | ||||
\(439\) | 1.45140e10 | + | 1.82000e10i | 0.390778 | + | 0.490020i | 0.937838 | − | 0.347074i | \(-0.112825\pi\) |
−0.547060 | + | 0.837093i | \(0.684253\pi\) | |||||||
\(440\) | −9.15421e8 | − | 4.01072e9i | −0.0244236 | − | 0.107007i | ||||
\(441\) | 1.18331e10 | + | 1.48383e10i | 0.312856 | + | 0.392310i | ||||
\(442\) | 6.18370e8 | + | 1.28406e9i | 0.0162016 | + | 0.0336431i | ||||
\(443\) | 2.65372e9 | − | 1.16267e10i | 0.0689032 | − | 0.301885i | −0.928721 | − | 0.370780i | \(-0.879090\pi\) |
0.997624 | + | 0.0688954i | \(0.0219475\pi\) | |||||||
\(444\) | 3.56851e10 | − | 1.71850e10i | 0.918238 | − | 0.442200i | ||||
\(445\) | 1.30271e10 | − | 1.63355e10i | 0.332206 | − | 0.416573i | ||||
\(446\) | −7.66321e8 | − | 3.35747e9i | −0.0193674 | − | 0.0848542i | ||||
\(447\) | −5.04343e9 | − | 2.20967e10i | −0.126327 | − | 0.553475i | ||||
\(448\) | −1.69572e9 | + | 3.52121e9i | −0.0420962 | + | 0.0874137i | ||||
\(449\) | 2.47803e10 | + | 1.97616e10i | 0.609707 | + | 0.486225i | 0.878993 | − | 0.476835i | \(-0.158216\pi\) |
−0.269286 | + | 0.963060i | \(0.586788\pi\) | |||||||
\(450\) | −2.16087e9 | + | 1.72324e9i | −0.0526961 | + | 0.0420238i | ||||
\(451\) | 3.90129e10 | + | 1.87876e10i | 0.942978 | + | 0.454114i | ||||
\(452\) | 1.84426e10 | − | 3.82964e10i | 0.441843 | − | 0.917496i | ||||
\(453\) | 7.47615e9 | + | 9.37480e9i | 0.177536 | + | 0.222623i | ||||
\(454\) | 4.21015e9 | − | 5.27936e9i | 0.0991001 | − | 0.124268i | ||||
\(455\) | −1.54584e9 | − | 7.44438e8i | −0.0360678 | − | 0.0173693i | ||||
\(456\) | −1.24563e10 | + | 2.84306e9i | −0.288090 | + | 0.0657547i | ||||
\(457\) | −6.26056e10 | + | 1.42893e10i | −1.43532 | + | 0.327602i | −0.868274 | − | 0.496085i | \(-0.834770\pi\) |
−0.567045 | + | 0.823687i | \(0.691913\pi\) | |||||||
\(458\) | −5.49553e9 | − | 4.38254e9i | −0.124896 | − | 0.0996011i | ||||
\(459\) | −5.32271e9 | − | 1.10527e10i | −0.119917 | − | 0.249011i | ||||
\(460\) | 2.42716e10 | + | 5.53982e9i | 0.542084 | + | 0.123727i | ||||
\(461\) | 3.95499e10 | − | 1.90462e10i | 0.875673 | − | 0.421702i | 0.0586306 | − | 0.998280i | \(-0.481327\pi\) |
0.817042 | + | 0.576578i | \(0.195612\pi\) | |||||||
\(462\) | −4.07195e8 | + | 3.24727e8i | −0.00893788 | + | 0.00712772i | ||||
\(463\) | −3.64936e10 | + | 8.32942e9i | −0.794132 | + | 0.181255i | −0.600295 | − | 0.799778i | \(-0.704950\pi\) |
−0.193837 | + | 0.981034i | \(0.562093\pi\) | |||||||
\(464\) | 2.91734e10 | − | 2.32650e10i | 0.629383 | − | 0.501917i | ||||
\(465\) | −5.03620e9 | + | 2.20651e10i | −0.107719 | + | 0.471947i | ||||
\(466\) | 8.01692e9 | 0.170006 | ||||||||
\(467\) | − | 9.05252e10i | − | 1.90328i | −0.307221 | − | 0.951638i | \(-0.599399\pi\) | ||
0.307221 | − | 0.951638i | \(-0.400601\pi\) | |||||||
\(468\) | −4.85677e9 | + | 2.12789e10i | −0.101243 | + | 0.443574i | ||||
\(469\) | −2.36176e9 | − | 1.88344e9i | −0.0488141 | − | 0.0389279i | ||||
\(470\) | 2.80759e9 | + | 1.35206e9i | 0.0575363 | + | 0.0277080i | ||||
\(471\) | 2.11589e10 | − | 1.01896e10i | 0.429942 | − | 0.207049i | ||||
\(472\) | − | 2.05175e10i | − | 0.413387i | ||||||
\(473\) | −4.61954e10 | − | 3.03445e9i | −0.922899 | − | 0.0606228i | ||||
\(474\) | 8.90801e9 | 0.176469 | ||||||||
\(475\) | 2.57475e10 | + | 5.34653e10i | 0.505779 | + | 1.05026i | ||||
\(476\) | 6.42708e8 | − | 1.33460e9i | 0.0125195 | − | 0.0259970i | ||||
\(477\) | −2.14752e10 | + | 2.69291e10i | −0.414824 | + | 0.520173i | ||||
\(478\) | 1.44146e10 | + | 3.29003e9i | 0.276115 | + | 0.0630214i | ||||
\(479\) | −1.62114e9 | −0.0307948 | −0.0153974 | − | 0.999881i | \(-0.504901\pi\) | ||||
−0.0153974 | + | 0.999881i | \(0.504901\pi\) | |||||||
\(480\) | 6.49183e9i | 0.122293i | ||||||||
\(481\) | 7.13114e10 | + | 1.62764e10i | 1.33223 | + | 0.304072i | ||||
\(482\) | 3.42033e9 | + | 4.28896e9i | 0.0633695 | + | 0.0794629i | ||||
\(483\) | −1.42014e9 | − | 6.22204e9i | −0.0260941 | − | 0.114326i | ||||
\(484\) | −4.82680e9 | − | 6.05262e9i | −0.0879586 | − | 0.110297i | ||||
\(485\) | 4.16296e9 | + | 8.64448e9i | 0.0752377 | + | 0.156233i | ||||
\(486\) | −1.72874e9 | + | 7.57410e9i | −0.0309874 | + | 0.135764i | ||||
\(487\) | 9.91572e9 | − | 4.77516e9i | 0.176282 | − | 0.0848930i | −0.343661 | − | 0.939094i | \(-0.611667\pi\) |
0.519944 | + | 0.854201i | \(0.325953\pi\) | |||||||
\(488\) | 1.49046e9 | − | 1.86898e9i | 0.0262810 | − | 0.0329553i | ||||
\(489\) | −2.51695e9 | − | 1.10275e10i | −0.0440188 | − | 0.192859i | ||||
\(490\) | 7.60639e8 | + | 3.33258e9i | 0.0131945 | + | 0.0578091i | ||||
\(491\) | 2.18468e10 | − | 4.53654e10i | 0.375892 | − | 0.780547i | −0.624108 | − | 0.781338i | \(-0.714538\pi\) |
1.00000 | 0.000791029i | \(0.000251792\pi\) | ||||||||
\(492\) | −3.54702e10 | − | 2.82865e10i | −0.605345 | − | 0.482746i | ||||
\(493\) | −1.04717e10 | + | 8.35092e9i | −0.177268 | + | 0.141367i | ||||
\(494\) | −1.04987e10 | − | 5.05593e9i | −0.176291 | − | 0.0848972i | ||||
\(495\) | −4.72225e9 | + | 9.80585e9i | −0.0786553 | + | 0.163329i | ||||
\(496\) | 6.26795e10 | + | 7.85976e10i | 1.03562 | + | 1.29862i | ||||
\(497\) | −6.67562e8 | + | 8.37096e8i | −0.0109412 | + | 0.0137199i | ||||
\(498\) | −4.69141e9 | − | 2.25926e9i | −0.0762756 | − | 0.0367324i | ||||
\(499\) | −5.70395e10 | + | 1.30189e10i | −0.919970 | + | 0.209977i | −0.656181 | − | 0.754603i | \(-0.727829\pi\) |
−0.263789 | + | 0.964580i | \(0.584972\pi\) | |||||||
\(500\) | 4.24439e10 | − | 9.68754e9i | 0.679102 | − | 0.155001i | ||||
\(501\) | 3.86127e10 | + | 3.07926e10i | 0.612886 | + | 0.488760i | ||||
\(502\) | −4.01516e9 | − | 8.33756e9i | −0.0632249 | − | 0.131288i | ||||
\(503\) | −6.11359e10 | − | 1.39539e10i | −0.955046 | − | 0.217983i | −0.283522 | − | 0.958966i | \(-0.591503\pi\) |
−0.671524 | + | 0.740983i | \(0.734360\pi\) | |||||||
\(504\) | −1.02909e9 | + | 4.95583e8i | −0.0159489 | + | 0.00768059i | ||||
\(505\) | −1.52632e10 | + | 1.21720e10i | −0.234681 | + | 0.187152i | ||||
\(506\) | 1.36063e10 | − | 3.10555e9i | 0.207558 | − | 0.0473737i | ||||
\(507\) | −5.73873e9 | + | 4.57649e9i | −0.0868529 | + | 0.0692629i | ||||
\(508\) | 1.91253e10 | − | 8.37935e10i | 0.287180 | − | 1.25822i | ||||
\(509\) | −1.13360e11 | −1.68884 | −0.844421 | − | 0.535680i | \(-0.820055\pi\) | ||||
−0.844421 | + | 0.535680i | \(0.820055\pi\) | |||||||
\(510\) | − | 7.44604e8i | − | 0.0110064i | ||||||
\(511\) | −2.67969e9 | + | 1.17405e10i | −0.0393008 | + | 0.172188i | ||||
\(512\) | 3.78854e10 | + | 3.02126e10i | 0.551305 | + | 0.439651i | ||||
\(513\) | 9.03696e10 | + | 4.35197e10i | 1.30483 | + | 0.628372i | ||||
\(514\) | −1.89435e10 | + | 9.12272e9i | −0.271399 | + | 0.130699i | ||||
\(515\) | − | 9.40194e9i | − | 0.133656i | ||||||
\(516\) | 4.64796e10 | + | 1.38697e10i | 0.655637 | + | 0.195645i | ||||
\(517\) | −7.02525e10 | −0.983331 | ||||||||
\(518\) | 8.20219e8 | + | 1.70320e9i | 0.0113923 | + | 0.0236563i | ||||
\(519\) | 6.72690e9 | − | 1.39686e10i | 0.0927141 | − | 0.192523i | ||||
\(520\) | −4.96295e9 | + | 6.22335e9i | −0.0678776 | + | 0.0851159i | ||||
\(521\) | −6.62046e10 | − | 1.51108e10i | −0.898540 | − | 0.205086i | −0.251784 | − | 0.967783i | \(-0.581017\pi\) |
−0.646755 | + | 0.762698i | \(0.723875\pi\) | |||||||
\(522\) | 5.10048e9 | 0.0686957 | ||||||||
\(523\) | − | 8.43954e9i | − | 0.112801i | −0.998408 | − | 0.0564004i | \(-0.982038\pi\) | ||
0.998408 | − | 0.0564004i | \(-0.0179623\pi\) | |||||||
\(524\) | −8.15453e10 | − | 1.86122e10i | −1.08162 | − | 0.246872i | ||||
\(525\) | −3.19973e9 | − | 4.01234e9i | −0.0421189 | − | 0.0528154i | ||||
\(526\) | 4.39852e9 | + | 1.92712e10i | 0.0574597 | + | 0.251748i | ||||
\(527\) | −2.24986e10 | − | 2.82124e10i | −0.291685 | − | 0.365761i | ||||
\(528\) | −2.02911e10 | − | 4.21350e10i | −0.261078 | − | 0.542135i | ||||
\(529\) | −2.06290e10 | + | 9.03817e10i | −0.263425 | + | 1.15414i | ||||
\(530\) | −5.58928e9 | + | 2.69166e9i | −0.0708357 | + | 0.0341127i | ||||
\(531\) | −3.38439e10 | + | 4.24388e10i | −0.425698 | + | 0.533809i | ||||
\(532\) | 2.69503e9 | + | 1.18077e10i | 0.0336448 | + | 0.147407i | ||||
\(533\) | −1.86436e10 | − | 8.16829e10i | −0.231005 | − | 1.01210i | ||||
\(534\) | −5.32459e9 | + | 1.10566e10i | −0.0654819 | + | 0.135975i | ||||
\(535\) | 4.20711e9 | + | 3.35506e9i | 0.0513533 | + | 0.0409529i | ||||
\(536\) | −1.09570e10 | + | 8.73793e9i | −0.132750 | + | 0.105864i | ||||
\(537\) | −5.96254e10 | − | 2.87141e10i | −0.717025 | − | 0.345301i | ||||
\(538\) | 5.38602e9 | − | 1.11842e10i | 0.0642893 | − | 0.133498i | ||||
\(539\) | −4.80481e10 | − | 6.02504e10i | −0.569273 | − | 0.713846i | ||||
\(540\) | 2.10974e10 | − | 2.64553e10i | 0.248115 | − | 0.311127i | ||||
\(541\) | −3.50996e10 | − | 1.69031e10i | −0.409745 | − | 0.197323i | 0.217645 | − | 0.976028i | \(-0.430162\pi\) |
−0.627390 | + | 0.778705i | \(0.715877\pi\) | |||||||
\(542\) | 2.16983e9 | − | 4.95249e8i | 0.0251436 | − | 0.00573887i | ||||
\(543\) | 6.13620e10 | − | 1.40055e10i | 0.705830 | − | 0.161101i | ||||
\(544\) | −8.09236e9 | − | 6.45344e9i | −0.0924016 | − | 0.0736878i | ||||
\(545\) | 1.28505e10 | + | 2.66844e10i | 0.145658 | + | 0.302462i | ||||
\(546\) | 9.82477e8 | + | 2.24244e8i | 0.0110548 | + | 0.00252319i | ||||
\(547\) | −4.55493e10 | + | 2.19354e10i | −0.508783 | + | 0.245017i | −0.670621 | − | 0.741800i | \(-0.733972\pi\) |
0.161838 | + | 0.986817i | \(0.448258\pi\) | |||||||
\(548\) | 4.35754e10 | − | 3.47502e10i | 0.483191 | − | 0.385332i | ||||
\(549\) | −6.16581e9 | + | 1.40730e9i | −0.0678735 | + | 0.0154917i | ||||
\(550\) | 8.77416e9 | − | 6.99716e9i | 0.0958859 | − | 0.0764664i | ||||
\(551\) | 2.43685e10 | − | 1.06765e11i | 0.264376 | − | 1.15831i | ||||
\(552\) | −2.96085e10 | −0.318904 | ||||||||
\(553\) | − | 1.70984e10i | − | 0.182833i | ||||||
\(554\) | −5.24578e9 | + | 2.29833e10i | −0.0556892 | + | 0.243990i | ||||
\(555\) | −2.98779e10 | − | 2.38268e10i | −0.314904 | − | 0.251128i | ||||
\(556\) | 1.93775e10 | + | 9.33169e9i | 0.202767 | + | 0.0976475i | ||||
\(557\) | −7.51827e10 | + | 3.62061e10i | −0.781083 | + | 0.376150i | −0.781544 | − | 0.623850i | \(-0.785567\pi\) |
0.000461201 | 1.00000i | \(0.499853\pi\) | ||||||||
\(558\) | 1.37415e10i | 0.141741i | ||||||||
\(559\) | 5.11395e10 | + | 7.35439e10i | 0.523732 | + | 0.753181i | ||||
\(560\) | 3.98171e9 | 0.0404871 | ||||||||
\(561\) | 7.28345e9 | + | 1.51242e10i | 0.0735336 | + | 0.152694i | ||||
\(562\) | 4.59483e9 | − | 9.54126e9i | 0.0460600 | − | 0.0956446i | ||||
\(563\) | 2.87677e10 | − | 3.60736e10i | 0.286333 | − | 0.359051i | −0.617774 | − | 0.786356i | \(-0.711965\pi\) |
0.904108 | + | 0.427305i | \(0.140537\pi\) | |||||||
\(564\) | 7.17606e10 | + | 1.63789e10i | 0.709202 | + | 0.161871i | ||||
\(565\) | −4.10117e10 | −0.402452 | ||||||||
\(566\) | 7.97631e9i | 0.0777207i | ||||||||
\(567\) | −2.66083e9 | − | 6.07317e8i | −0.0257445 | − | 0.00587602i | ||||
\(568\) | 3.09704e9 | + | 3.88357e9i | 0.0297546 | + | 0.0373111i | ||||
\(569\) | −4.12746e7 | − | 1.80836e8i | −0.000393762 | − | 0.00172518i | 0.974731 | − | 0.223383i | \(-0.0717102\pi\) |
−0.975124 | + | 0.221658i | \(0.928853\pi\) | |||||||
\(570\) | 3.79584e9 | + | 4.75983e9i | 0.0359591 | + | 0.0450912i | ||||
\(571\) | −2.01786e10 | − | 4.19012e10i | −0.189822 | − | 0.394169i | 0.784238 | − | 0.620460i | \(-0.213054\pi\) |
−0.974060 | + | 0.226291i | \(0.927340\pi\) | |||||||
\(572\) | 1.97208e10 | − | 8.64024e10i | 0.184221 | − | 0.807126i | ||||
\(573\) | −8.83015e10 | + | 4.25238e10i | −0.819124 | + | 0.394469i | ||||
\(574\) | 1.35008e9 | − | 1.69294e9i | 0.0124369 | − | 0.0155953i | ||||
\(575\) | 3.06009e10 | + | 1.34071e11i | 0.279939 | + | 1.22649i | ||||
\(576\) | −1.06742e10 | − | 4.67666e10i | −0.0969715 | − | 0.424860i | ||||
\(577\) | 1.67529e10 | − | 3.47878e10i | 0.151143 | − | 0.313851i | −0.811626 | − | 0.584177i | \(-0.801417\pi\) |
0.962769 | + | 0.270326i | \(0.0871315\pi\) | |||||||
\(578\) | −1.26641e10 | − | 1.00993e10i | −0.113466 | − | 0.0904857i | ||||
\(579\) | −2.98497e10 | + | 2.38043e10i | −0.265599 | + | 0.211808i | ||||
\(580\) | −3.32855e10 | − | 1.60294e10i | −0.294132 | − | 0.141647i | ||||
\(581\) | −4.33652e9 | + | 9.00488e9i | −0.0380572 | + | 0.0790266i | ||||
\(582\) | −3.51361e9 | − | 4.40592e9i | −0.0306240 | − | 0.0384012i | ||||
\(583\) | 8.71995e10 | − | 1.09345e11i | 0.754814 | − | 0.946506i | ||||
\(584\) | 5.03361e10 | + | 2.42406e10i | 0.432741 | + | 0.208397i | ||||
\(585\) | 2.05309e10 | − | 4.68605e9i | 0.175301 | − | 0.0400114i | ||||
\(586\) | 2.21891e10 | − | 5.06452e9i | 0.188169 | − | 0.0429485i | ||||
\(587\) | 4.66608e9 | + | 3.72107e9i | 0.0393006 | + | 0.0313412i | 0.642943 | − | 0.765914i | \(-0.277713\pi\) |
−0.603643 | + | 0.797255i | \(0.706285\pi\) | |||||||
\(588\) | 3.50325e10 | + | 7.27458e10i | 0.293064 | + | 0.608554i | ||||
\(589\) | 2.87642e11 | + | 6.56524e10i | 2.38996 | + | 0.545493i | ||||
\(590\) | −8.80842e9 | + | 4.24191e9i | −0.0726926 | + | 0.0350069i | ||||
\(591\) | −7.52510e8 | + | 6.00107e8i | −0.00616825 | + | 0.00491902i | ||||
\(592\) | −1.65490e11 | + | 3.77721e10i | −1.34737 | + | 0.307528i | ||||
\(593\) | −1.05845e11 | + | 8.44086e10i | −0.855957 | + | 0.682603i | −0.949757 | − | 0.312988i | \(-0.898670\pi\) |
0.0938003 | + | 0.995591i | \(0.470098\pi\) | |||||||
\(594\) | 4.22098e9 | − | 1.84933e10i | 0.0339053 | − | 0.148549i | ||||
\(595\) | −1.42922e9 | −0.0114033 | ||||||||
\(596\) | 9.96758e10i | 0.789959i | ||||||||
\(597\) | 2.04246e10 | − | 8.94858e10i | 0.160789 | − | 0.704461i | ||||
\(598\) | −2.11126e10 | − | 1.68367e10i | −0.165096 | − | 0.131660i | ||||
\(599\) | −1.43220e11 | − | 6.89711e10i | −1.11249 | − | 0.535747i | −0.214926 | − | 0.976630i | \(-0.568951\pi\) |
−0.897565 | + | 0.440883i | \(0.854665\pi\) | |||||||
\(600\) | −2.14511e10 | + | 1.03303e10i | −0.165518 | + | 0.0797092i | ||||
\(601\) | 6.95807e10i | 0.533324i | 0.963790 | + | 0.266662i | \(0.0859207\pi\) | ||||
−0.963790 | + | 0.266662i | \(0.914079\pi\) | |||||||
\(602\) | −6.61984e8 | + | 2.21841e9i | −0.00504036 | + | 0.0168910i | ||||
\(603\) | 3.70770e10 | 0.280437 | ||||||||
\(604\) | −2.28800e10 | − | 4.75109e10i | −0.171913 | − | 0.356981i | ||||
\(605\) | −3.24088e9 | + | 6.72976e9i | −0.0241903 | + | 0.0502317i | ||||
\(606\) | 7.14916e9 | − | 8.96477e9i | 0.0530109 | − | 0.0664735i | ||||
\(607\) | 1.21786e11 | + | 2.77968e10i | 0.897102 | + | 0.204758i | 0.646122 | − | 0.763234i | \(-0.276390\pi\) |
0.250981 | + | 0.967992i | \(0.419247\pi\) | |||||||
\(608\) | 8.46281e10 | 0.619299 | ||||||||
\(609\) | 9.47066e9i | 0.0688511i | ||||||||
\(610\) | −1.11052e9 | − | 2.53470e8i | −0.00802063 | − | 0.00183066i | ||||
\(611\) | 8.47524e10 | + | 1.06276e11i | 0.608117 | + | 0.762555i | ||||
\(612\) | 4.04569e9 | + | 1.77253e10i | 0.0288395 | + | 0.126354i | ||||
\(613\) | 3.21114e10 | + | 4.02664e10i | 0.227414 | + | 0.285168i | 0.882427 | − | 0.470449i | \(-0.155908\pi\) |
−0.655013 | + | 0.755618i | \(0.727337\pi\) | |||||||
\(614\) | 1.00313e9 | + | 2.08303e9i | 0.00705807 | + | 0.0146562i | ||||
\(615\) | −9.74048e9 | + | 4.26758e10i | −0.0680895 | + | 0.298319i | ||||
\(616\) | 4.17859e9 | − | 2.01230e9i | 0.0290206 | − | 0.0139756i | ||||
\(617\) | 1.61966e11 | − | 2.03099e11i | 1.11759 | − | 1.40141i | 0.211994 | − | 0.977271i | \(-0.432004\pi\) |
0.905596 | − | 0.424142i | \(-0.139424\pi\) | |||||||
\(618\) | 1.22881e9 | + | 5.38375e9i | 0.00842421 | + | 0.0369089i | ||||
\(619\) | −2.49469e10 | − | 1.09300e11i | −0.169924 | − | 0.744485i | −0.986028 | − | 0.166580i | \(-0.946728\pi\) |
0.816104 | − | 0.577905i | \(-0.196130\pi\) | |||||||
\(620\) | 4.31857e10 | − | 8.96761e10i | 0.292263 | − | 0.606890i | ||||
\(621\) | 1.81730e11 | + | 1.44925e11i | 1.22197 | + | 0.974489i | ||||
\(622\) | 2.24802e10 | − | 1.79274e10i | 0.150189 | − | 0.119772i | ||||
\(623\) | 2.12225e10 | + | 1.02202e10i | 0.140879 | + | 0.0678436i | ||||
\(624\) | −3.92615e10 | + | 8.15274e10i | −0.258958 | + | 0.537731i | ||||
\(625\) | 5.48005e10 | + | 6.87177e10i | 0.359141 | + | 0.450348i | ||||
\(626\) | 1.86754e10 | − | 2.34182e10i | 0.121611 | − | 0.152495i | ||||
\(627\) | −1.23659e11 | − | 5.95512e10i | −0.800123 | − | 0.385319i | ||||
\(628\) | −1.00691e11 | + | 2.29820e10i | −0.647368 | + | 0.147758i | ||||
\(629\) | 5.94024e10 | − | 1.35582e10i | 0.379491 | − | 0.0866163i | ||||
\(630\) | 4.25520e8 | + | 3.39341e8i | 0.00270120 | + | 0.00215414i | ||||
\(631\) | 2.81654e10 | + | 5.84862e10i | 0.177664 | + | 0.368923i | 0.970716 | − | 0.240231i | \(-0.0772233\pi\) |
−0.793052 | + | 0.609154i | \(0.791509\pi\) | |||||||
\(632\) | −7.73364e10 | − | 1.76515e10i | −0.484747 | − | 0.110640i | ||||
\(633\) | 1.61472e11 | − | 7.77606e10i | 1.00573 | − | 0.484334i | ||||
\(634\) | −1.40800e10 | + | 1.12285e10i | −0.0871459 | + | 0.0694965i | ||||
\(635\) | −8.08481e10 | + | 1.84531e10i | −0.497250 | + | 0.113494i | ||||
\(636\) | −1.14564e11 | + | 9.13620e10i | −0.700198 | + | 0.558390i | ||||
\(637\) | −3.31801e10 | + | 1.45372e11i | −0.201521 | + | 0.882921i | ||||
\(638\) | −2.07104e10 | −0.124999 | ||||||||
\(639\) | − | 1.31415e10i | − | 0.0788206i | ||||||
\(640\) | 8.43340e9 | − | 3.69491e10i | 0.0502670 | − | 0.220234i | ||||
\(641\) | 1.30420e11 | + | 1.04006e11i | 0.772522 | + | 0.616066i | 0.928345 | − | 0.371719i | \(-0.121232\pi\) |
−0.155823 | + | 0.987785i | \(0.549803\pi\) | |||||||
\(642\) | −2.84757e9 | − | 1.37132e9i | −0.0167623 | − | 0.00807232i | ||||
\(643\) | 1.51560e11 | − | 7.29873e10i | 0.886625 | − | 0.426976i | 0.0655850 | − | 0.997847i | \(-0.479109\pi\) |
0.821040 | + | 0.570871i | \(0.193394\pi\) | |||||||
\(644\) | 2.80669e10i | 0.163174i | ||||||||
\(645\) | −7.40092e9 | − | 4.62110e10i | −0.0427609 | − | 0.266997i | ||||
\(646\) | −9.70673e9 | −0.0557369 | ||||||||
\(647\) | −5.87269e9 | − | 1.21948e10i | −0.0335135 | − | 0.0695915i | 0.883540 | − | 0.468356i | \(-0.155153\pi\) |
−0.917053 | + | 0.398764i | \(0.869439\pi\) | |||||||
\(648\) | −5.49381e9 | + | 1.14080e10i | −0.0311583 | + | 0.0647009i | ||||
\(649\) | 1.37422e11 | − | 1.72322e11i | 0.774600 | − | 0.971318i | ||||
\(650\) | −2.11702e10 | − | 4.83196e9i | −0.118597 | − | 0.0270689i | ||||
\(651\) | −2.55154e10 | −0.142062 | ||||||||
\(652\) | 4.97436e10i | 0.275262i | ||||||||
\(653\) | −1.16748e11 | − | 2.66470e10i | −0.642093 | − | 0.146553i | −0.110937 | − | 0.993827i | \(-0.535385\pi\) |
−0.531156 | + | 0.847274i | \(0.678242\pi\) | |||||||
\(654\) | −1.08460e10 | − | 1.36005e10i | −0.0592871 | − | 0.0743437i | ||||
\(655\) | 1.79580e10 | + | 7.86790e10i | 0.0975645 | + | 0.427458i | ||||
\(656\) | 1.21228e11 | + | 1.52015e11i | 0.654617 | + | 0.820863i | ||||
\(657\) | −6.41311e10 | − | 1.33170e11i | −0.344197 | − | 0.714732i | ||||
\(658\) | −7.81743e8 | + | 3.42504e9i | −0.00417023 | + | 0.0182710i | ||||
\(659\) | −1.29665e11 | + | 6.24434e10i | −0.687513 | + | 0.331089i | −0.744818 | − | 0.667268i | \(-0.767464\pi\) |
0.0573045 | + | 0.998357i | \(0.481749\pi\) | |||||||
\(660\) | −2.88691e10 | + | 3.62007e10i | −0.152145 | + | 0.190784i | ||||
\(661\) | 3.50309e10 | + | 1.53480e11i | 0.183504 | + | 0.803984i | 0.979945 | + | 0.199268i | \(0.0638563\pi\) |
−0.796441 | + | 0.604716i | \(0.793287\pi\) | |||||||
\(662\) | 7.77377e9 | + | 3.40591e10i | 0.0404762 | + | 0.177338i | ||||
\(663\) | 1.40928e10 | − | 2.92641e10i | 0.0729363 | − | 0.151454i | ||||
\(664\) | 3.62524e10 | + | 2.89103e10i | 0.186494 | + | 0.148724i | ||||
\(665\) | 9.13621e9 | − | 7.28589e9i | 0.0467175 | − | 0.0372560i | ||||
\(666\) | −2.09049e10 | − | 1.00673e10i | −0.106255 | − | 0.0511699i | ||||
\(667\) | 1.10111e11 | − | 2.28649e11i | 0.556326 | − | 1.15522i | ||||
\(668\) | −1.35419e11 | − | 1.69811e11i | −0.680104 | − | 0.852823i | ||||
\(669\) | −4.89350e10 | + | 6.13625e10i | −0.244295 | + | 0.306336i | ||||
\(670\) | 6.01661e9 | + | 2.89745e9i | 0.0298575 | + | 0.0143786i | ||||
\(671\) | 2.50361e10 | − | 5.71432e9i | 0.123503 | − | 0.0281887i | ||||
\(672\) | −7.13525e9 | + | 1.62858e9i | −0.0349891 | + | 0.00798603i | ||||
\(673\) | −1.77997e11 | − | 1.41948e11i | −0.867668 | − | 0.691942i | 0.0848604 | − | 0.996393i | \(-0.472956\pi\) |
−0.952528 | + | 0.304451i | \(0.901527\pi\) | |||||||
\(674\) | −1.54361e10 | − | 3.20533e10i | −0.0747991 | − | 0.155322i | ||||
\(675\) | 1.82226e11 | + | 4.15919e10i | 0.877799 | + | 0.200352i | ||||
\(676\) | 2.90835e10 | − | 1.40059e10i | 0.139271 | − | 0.0670693i | ||||
\(677\) | 2.72756e10 | − | 2.17516e10i | 0.129844 | − | 0.103547i | −0.556415 | − | 0.830905i | \(-0.687823\pi\) |
0.686258 | + | 0.727358i | \(0.259252\pi\) | |||||||
\(678\) | 2.34842e10 | − | 5.36011e9i | 0.111136 | − | 0.0253662i | ||||
\(679\) | −8.45691e9 | + | 6.74416e9i | −0.0397862 | + | 0.0317285i | ||||
\(680\) | −1.47546e9 | + | 6.46440e9i | −0.00690067 | + | 0.0302338i | ||||
\(681\) | −1.53893e11 | −0.715533 | ||||||||
\(682\) | − | 5.57969e10i | − | 0.257912i | ||||||
\(683\) | 4.76061e9 | − | 2.08576e10i | 0.0218766 | − | 0.0958477i | −0.962811 | − | 0.270176i | \(-0.912918\pi\) |
0.984688 | + | 0.174328i | \(0.0557753\pi\) | |||||||
\(684\) | −1.16222e11 | − | 9.26839e10i | −0.530962 | − | 0.423428i | ||||
\(685\) | −4.84504e10 | − | 2.33325e10i | −0.220057 | − | 0.105974i | ||||
\(686\) | −6.98916e9 | + | 3.36580e9i | −0.0315594 | + | 0.0151982i | ||||
\(687\) | 1.60194e11i | 0.719150i | ||||||||
\(688\) | −1.80977e11 | − | 1.02277e11i | −0.807736 | − | 0.456483i | ||||
\(689\) | −2.70611e11 | −1.20079 | ||||||||
\(690\) | 6.12143e9 | + | 1.27113e10i | 0.0270058 | + | 0.0560781i | ||||
\(691\) | 1.11751e11 | − | 2.32054e11i | 0.490162 | − | 1.01783i | −0.498390 | − | 0.866953i | \(-0.666075\pi\) |
0.988552 | − | 0.150879i | \(-0.0482104\pi\) | |||||||
\(692\) | −4.25114e10 | + | 5.33076e10i | −0.185388 | + | 0.232469i | ||||
\(693\) | −1.19624e10 | − | 2.73034e9i | −0.0518662 | − | 0.0118381i | ||||
\(694\) | −4.54569e10 | −0.195958 | ||||||||
\(695\) | − | 2.07514e10i | − | 0.0889421i | ||||||
\(696\) | 4.28359e10 | + | 9.77703e9i | 0.182546 | + | 0.0416648i | ||||
\(697\) | −4.35144e10 | − | 5.45654e10i | −0.184375 | − | 0.231199i | ||||
\(698\) | 1.15710e10 | + | 5.06958e10i | 0.0487471 | + | 0.213575i | ||||
\(699\) | −1.13917e11 | − | 1.42847e11i | −0.477175 | − | 0.598359i | ||||
\(700\) | 9.79247e9 | + | 2.03343e10i | 0.0407849 | + | 0.0846908i | ||||
\(701\) | 8.19259e10 | − | 3.58941e11i | 0.339273 | − | 1.48645i | −0.461315 | − | 0.887236i | \(-0.652622\pi\) |
0.800588 | − | 0.599215i | \(-0.204521\pi\) | |||||||
\(702\) | −3.30684e10 | + | 1.59249e10i | −0.136165 | + | 0.0655735i | ||||
\(703\) | −3.10609e11 | + | 3.89491e11i | −1.27172 | + | 1.59469i | ||||
\(704\) | 4.33422e10 | + | 1.89894e11i | 0.176449 | + | 0.773075i | ||||
\(705\) | −1.58032e10 | − | 6.92382e10i | −0.0639717 | − | 0.280278i | ||||
\(706\) | 4.97467e9 | − | 1.03300e10i | 0.0200238 | − | 0.0415798i | ||||
\(707\) | −1.72073e10 | − | 1.37224e10i | −0.0688710 | − | 0.0549228i | ||||
\(708\) | −1.80548e11 | + | 1.43982e11i | −0.718553 | + | 0.573027i | ||||
\(709\) | −2.35694e11 | − | 1.13504e11i | −0.932745 | − | 0.449186i | −0.0951404 | − | 0.995464i | \(-0.530330\pi\) |
−0.837604 | + | 0.546278i | \(0.816044\pi\) | |||||||
\(710\) | 1.02696e9 | − | 2.13251e9i | 0.00404130 | − | 0.00839185i | ||||
\(711\) | 1.30848e11 | + | 1.64078e11i | 0.512021 | + | 0.642054i | ||||
\(712\) | 6.81354e10 | − | 8.54391e10i | 0.265126 | − | 0.332458i | ||||
\(713\) | 6.16014e11 | + | 2.96657e11i | 2.38360 | + | 1.14788i | ||||
\(714\) | 8.18404e8 | − | 1.86795e8i | 0.00314901 | − | 0.000718742i | ||||
\(715\) | −8.33653e10 | + | 1.90276e10i | −0.318978 | + | 0.0728047i | ||||
\(716\) | 2.27546e11 | + | 1.81462e11i | 0.865799 | + | 0.690452i | ||||
\(717\) | −1.46202e11 | − | 3.03591e11i | −0.553192 | − | 1.14871i | ||||
\(718\) | −3.44907e10 | − | 7.87227e9i | −0.129779 | − | 0.0296212i | ||||
\(719\) | −3.50258e11 | + | 1.68675e11i | −1.31061 | + | 0.631155i | −0.953072 | − | 0.302745i | \(-0.902097\pi\) |
−0.357535 | + | 0.933900i | \(0.616383\pi\) | |||||||
\(720\) | −3.82088e10 | + | 3.04705e10i | −0.142178 | + | 0.113384i | ||||
\(721\) | 1.03338e10 | − | 2.35862e9i | 0.0382401 | − | 0.00872805i | ||||
\(722\) | 2.89570e10 | − | 2.30924e10i | 0.106563 | − | 0.0849808i | ||||
\(723\) | 2.78202e10 | − | 1.21888e11i | 0.101814 | − | 0.446076i | ||||
\(724\) | −2.76797e11 | −1.00741 | ||||||||
\(725\) | − | 2.04072e11i | − | 0.738637i | ||||||
\(726\) | 9.76238e8 | − | 4.27718e9i | 0.00351406 | − | 0.0153961i | ||||
\(727\) | −3.25638e11 | − | 2.59688e11i | −1.16573 | − | 0.929638i | −0.167313 | − | 0.985904i | \(-0.553509\pi\) |
−0.998416 | + | 0.0562659i | \(0.982081\pi\) | |||||||
\(728\) | −8.08519e9 | − | 3.89362e9i | −0.0287849 | − | 0.0138621i | ||||
\(729\) | 2.18899e11 | − | 1.05416e11i | 0.775056 | − | 0.373248i | ||||
\(730\) | − | 2.66215e10i | − | 0.0937436i | ||||||
\(731\) | 6.49612e10 | + | 3.67121e10i | 0.227502 | + | 0.128570i | ||||
\(732\) | −2.69058e10 | −0.0937133 | ||||||||
\(733\) | 1.44192e11 | + | 2.99418e11i | 0.499488 | + | 1.03720i | 0.986494 | + | 0.163799i | \(0.0523748\pi\) |
−0.487006 | + | 0.873399i | \(0.661911\pi\) | |||||||
\(734\) | 5.67901e9 | − | 1.17926e10i | 0.0195654 | − | 0.0406280i | ||||
\(735\) | 4.85721e10 | − | 6.09075e10i | 0.166432 | − | 0.208700i | ||||
\(736\) | 1.91200e11 | + | 4.36402e10i | 0.651594 | + | 0.148722i | ||||
\(737\) | −1.50550e11 | −0.510283 | ||||||||
\(738\) | 2.65773e10i | 0.0895952i | ||||||||
\(739\) | 1.36828e11 | + | 3.12302e10i | 0.458774 | + | 0.104712i | 0.445661 | − | 0.895202i | \(-0.352969\pi\) |
0.0131131 | + | 0.999914i | \(0.495826\pi\) | |||||||
\(740\) | 1.04785e11 | + | 1.31397e11i | 0.349441 | + | 0.438185i | ||||
\(741\) | 5.90947e10 | + | 2.58911e11i | 0.196009 | + | 0.858771i | ||||
\(742\) | −4.36059e9 | − | 5.46800e9i | −0.0143856 | − | 0.0180390i | ||||
\(743\) | 3.50127e10 | + | 7.27046e10i | 0.114887 | + | 0.238565i | 0.950481 | − | 0.310782i | \(-0.100591\pi\) |
−0.835594 | + | 0.549347i | \(0.814877\pi\) | |||||||
\(744\) | −2.63408e10 | + | 1.15407e11i | −0.0859680 | + | 0.376651i | ||||
\(745\) | 8.66481e10 | − | 4.17275e10i | 0.281277 | − | 0.135456i | ||||
\(746\) | 2.85563e10 | − | 3.58085e10i | 0.0922034 | − | 0.115619i | ||||
\(747\) | −2.72973e10 | − | 1.19597e11i | −0.0876673 | − | 0.384096i | ||||
\(748\) | −1.64274e10 | − | 7.19732e10i | −0.0524763 | − | 0.229913i | ||||
\(749\) | −2.63217e9 | + | 5.46575e9i | −0.00836346 | + | 0.0173669i | ||||
\(750\) | 1.92890e10 | + | 1.53825e10i | 0.0609628 | + | 0.0486162i | ||||
\(751\) | −2.45361e11 | + | 1.95669e11i | −0.771340 | + | 0.615123i | −0.928022 | − | 0.372526i | \(-0.878492\pi\) |
0.156682 | + | 0.987649i | \(0.449920\pi\) | |||||||
\(752\) | −2.84215e11 | − | 1.36871e11i | −0.888741 | − | 0.427995i | ||||
\(753\) | −9.15067e10 | + | 1.90016e11i | −0.284625 | + | 0.591030i | ||||
\(754\) | 2.49849e10 | + | 3.13301e10i | 0.0773023 | + | 0.0969340i | ||||
\(755\) | −3.17228e10 | + | 3.97792e10i | −0.0976302 | + | 0.122424i | ||||
\(756\) | 3.43699e10 | + | 1.65517e10i | 0.105218 | + | 0.0506705i | ||||
\(757\) | −8.71546e10 | + | 1.98925e10i | −0.265404 | + | 0.0605767i | −0.353152 | − | 0.935566i | \(-0.614890\pi\) |
0.0877481 | + | 0.996143i | \(0.472033\pi\) | |||||||
\(758\) | −5.45660e10 | + | 1.24543e10i | −0.165289 | + | 0.0377262i | ||||
\(759\) | −2.48675e11 | − | 1.98311e11i | −0.749315 | − | 0.597558i | ||||
\(760\) | −2.35224e10 | − | 4.88448e10i | −0.0705063 | − | 0.146408i | ||||
\(761\) | 3.04244e11 | + | 6.94418e10i | 0.907160 | + | 0.207053i | 0.650551 | − | 0.759462i | \(-0.274538\pi\) |
0.256608 | + | 0.966515i | \(0.417395\pi\) | |||||||
\(762\) | 4.38836e10 | − | 2.11332e10i | 0.130161 | − | 0.0626824i | ||||
\(763\) | −2.61054e10 | + | 2.08183e10i | −0.0770250 | + | 0.0614254i | ||||
\(764\) | 4.20209e11 | − | 9.59099e10i | 1.23337 | − | 0.281508i | ||||
\(765\) | 1.37150e10 | − | 1.09373e10i | 0.0400451 | − | 0.0319349i | ||||
\(766\) | −1.70892e10 | + | 7.48725e10i | −0.0496370 | + | 0.217474i | ||||
\(767\) | −4.26469e11 | −1.23227 | ||||||||
\(768\) | − | 1.86890e11i | − | 0.537207i | ||||||
\(769\) | 6.19996e9 | − | 2.71638e10i | 0.0177290 | − | 0.0776756i | −0.965290 | − | 0.261182i | \(-0.915888\pi\) |
0.983019 | + | 0.183506i | \(0.0587448\pi\) | |||||||
\(770\) | −1.72781e9 | − | 1.37788e9i | −0.00491511 | − | 0.00391967i | ||||
\(771\) | 4.31728e11 | + | 2.07909e11i | 1.22178 | + | 0.588378i | ||||
\(772\) | 1.51276e11 | − | 7.28508e10i | 0.425894 | − | 0.205100i | ||||
\(773\) | − | 1.40300e11i | − | 0.392952i | −0.980509 | − | 0.196476i | \(-0.937050\pi\) | ||
0.980509 | − | 0.196476i | \(-0.0629497\pi\) | |||||||
\(774\) | −1.06242e10 | − | 2.63540e10i | −0.0296028 | − | 0.0734315i | ||||
\(775\) | 5.49800e11 | 1.52405 | ||||||||
\(776\) | 2.17735e10 | + | 4.52131e10i | 0.0600456 | + | 0.124686i | ||||
\(777\) | 1.86930e10 | − | 3.88165e10i | 0.0512856 | − | 0.106496i | ||||
\(778\) | −5.48260e10 | + | 6.87497e10i | −0.149647 | + | 0.187652i | ||||
\(779\) | 5.56326e11 | + | 1.26978e11i | 1.51070 | + | 0.344808i | ||||
\(780\) | 8.95910e10 | 0.242039 | ||||||||
\(781\) | 5.33605e10i | 0.143422i | ||||||||
\(782\) | −2.19304e10 | − | 5.00547e9i | −0.0586434 | − | 0.0133850i | ||||
\(783\) | −2.15062e11 | − | 2.69679e11i | −0.572158 | − | 0.717463i | ||||
\(784\) | −7.70003e10 | − | 3.37360e11i | −0.203811 | − | 0.892955i | ||||
\(785\) | 6.21307e10 | + | 7.79095e10i | 0.163617 | + | 0.205169i | ||||
\(786\) | −2.05662e10 | − | 4.27062e10i | −0.0538846 | − | 0.111892i | ||||
\(787\) | 1.68027e11 | − | 7.36174e11i | 0.438006 | − | 1.91903i | 0.0463297 | − | 0.998926i | \(-0.485248\pi\) |
0.391676 | − | 0.920103i | \(-0.371895\pi\) | |||||||
\(788\) | 3.81367e9 | − | 1.83657e9i | 0.00989096 | − | 0.00476323i | ||||
\(789\) | 2.80876e11 | − | 3.52208e11i | 0.724782 | − | 0.908847i | ||||
\(790\) | 8.41096e9 | + | 3.68508e10i | 0.0215942 | + | 0.0946104i | ||||
\(791\) | −1.02884e10 | − | 4.50765e10i | −0.0262810 | − | 0.115145i | ||||
\(792\) | −2.46987e10 | + | 5.12874e10i | −0.0627731 | + | 0.130350i | ||||
\(793\) | −3.88479e10 | − | 3.09802e10i | −0.0982369 | − | 0.0783413i | ||||
\(794\) | −2.86891e10 | + | 2.28788e10i | −0.0721831 | + | 0.0575641i | ||||
\(795\) | 1.27381e11 | + | 6.13436e10i | 0.318887 | + | 0.153568i | ||||
\(796\) | −1.75142e11 | + | 3.63685e11i | −0.436252 | + | 0.905886i | ||||
\(797\) | 1.77994e11 | + | 2.23197e11i | 0.441134 | + | 0.553165i | 0.951842 | − | 0.306590i | \(-0.0991879\pi\) |
−0.510707 | + | 0.859755i | \(0.670616\pi\) | |||||||
\(798\) | −4.27934e9 | + | 5.36613e9i | −0.0105528 | + | 0.0132327i | ||||
\(799\) | 1.02018e11 | + | 4.91294e10i | 0.250317 | + | 0.120546i | ||||
\(800\) | 1.53749e11 | − | 3.50922e10i | 0.375364 | − | 0.0856743i | ||||
\(801\) | −2.81865e11 | + | 6.43339e10i | −0.684717 | + | 0.156282i | ||||
\(802\) | 5.25134e10 | + | 4.18781e10i | 0.126933 | + | 0.101225i | ||||
\(803\) | 2.60402e11 | + | 5.40731e11i | 0.626301 | + | 1.30053i | ||||
\(804\) | 1.53782e11 | + | 3.50997e10i | 0.368028 | + | 0.0840000i | ||||
\(805\) | 2.43986e10 | − | 1.17497e10i | 0.0581006 | − | 0.0279798i | ||||
\(806\) | −8.44080e10 | + | 6.73131e10i | −0.200006 | + | 0.159500i | ||||
\(807\) | −2.75814e11 | + | 6.29528e10i | −0.650313 | + | 0.148430i | ||||
\(808\) | −7.98306e10 | + | 6.36628e10i | −0.187294 | + | 0.149362i | ||||
\(809\) | 4.37925e9 | − | 1.91867e10i | 0.0102236 | − | 0.0447927i | −0.969559 | − | 0.244859i | \(-0.921258\pi\) |
0.979782 | + | 0.200066i | \(0.0641156\pi\) | |||||||
\(810\) | 6.03342e9 | 0.0140160 | ||||||||
\(811\) | 5.38772e11i | 1.24544i | 0.782446 | + | 0.622719i | \(0.213972\pi\) | ||||
−0.782446 | + | 0.622719i | \(0.786028\pi\) | |||||||
\(812\) | 9.26798e9 | − | 4.06057e10i | 0.0213187 | − | 0.0934034i | ||||
\(813\) | −3.96566e10 | − | 3.16251e10i | −0.0907724 | − | 0.0723885i | ||||
\(814\) | 8.48837e10 | + | 4.08778e10i | 0.193342 | + | 0.0931086i | ||||
\(815\) | 4.32421e10 | − | 2.08243e10i | 0.0980113 | − | 0.0471998i | ||||
\(816\) | 7.53770e10i | 0.170012i | ||||||||
\(817\) | −6.02411e11 | + | 9.64791e10i | −1.35209 | + | 0.216543i | ||||
\(818\) | 6.52921e10 | 0.145830 | ||||||||
\(819\) | 1.03010e10 | + | 2.13902e10i | 0.0228952 | + | 0.0475423i | ||||
\(820\) | 8.35251e10 | − | 1.73442e11i | 0.184740 | − | 0.383617i | ||||
\(821\) | −1.15568e9 | + | 1.44918e9i | −0.00254371 | + | 0.00318971i | −0.783102 | − | 0.621894i | \(-0.786364\pi\) |
0.780558 | + | 0.625083i | \(0.214935\pi\) | |||||||
\(822\) | 3.07932e10 | + | 7.02835e9i | 0.0674478 | + | 0.0153945i | ||||
\(823\) | 4.82888e11 | 1.05256 | 0.526281 | − | 0.850311i | \(-0.323586\pi\) | ||||
0.526281 | + | 0.850311i | \(0.323586\pi\) | |||||||
\(824\) | − | 4.91748e10i | − | 0.106668i | ||||||
\(825\) | −2.49353e11 | − | 5.69132e10i | −0.538268 | − | 0.122856i | ||||
\(826\) | −6.87206e9 | − | 8.61730e9i | −0.0147627 | − | 0.0185119i | ||||
\(827\) | 1.33103e11 | + | 5.83162e11i | 0.284555 | + | 1.24672i | 0.891884 | + | 0.452265i | \(0.149384\pi\) |
−0.607329 | + | 0.794450i | \(0.707759\pi\) | |||||||
\(828\) | −2.14786e11 | − | 2.69333e11i | −0.456966 | − | 0.573017i | ||||
\(829\) | −5.85952e10 | − | 1.21674e11i | −0.124063 | − | 0.257620i | 0.829682 | − | 0.558237i | \(-0.188522\pi\) |
−0.953745 | + | 0.300616i | \(0.902808\pi\) | |||||||
\(830\) | 4.91652e9 | − | 2.15407e10i | 0.0103597 | − | 0.0453887i | ||||
\(831\) | 4.84060e11 | − | 2.33111e11i | 1.01507 | − | 0.488831i | ||||
\(832\) | 2.34979e11 | − | 2.94655e11i | 0.490384 | − | 0.614922i | ||||
\(833\) | 2.76391e10 | + | 1.21095e11i | 0.0574041 | + | 0.251504i | ||||
\(834\) | 2.71214e9 | + | 1.18827e10i | 0.00560593 | + | 0.0245612i | ||||
\(835\) | −9.09253e10 | + | 1.88808e11i | −0.187042 | + | 0.388396i | ||||
\(836\) | 4.71916e11 | + | 3.76340e11i | 0.966138 | + | 0.770469i | ||||
\(837\) | 7.26555e11 | − | 5.79408e11i | 1.48036 | − | 1.18055i | ||||
\(838\) | −1.32323e11 | − | 6.37236e10i | −0.268325 | − | 0.129218i | ||||
\(839\) | −2.98726e11 | + | 6.20312e11i | −0.602873 | + | 1.25188i | 0.346595 | + | 0.938015i | \(0.387338\pi\) |
−0.949468 | + | 0.313864i | \(0.898376\pi\) | |||||||
\(840\) | 2.92321e9 | + | 3.66559e9i | 0.00587142 | + | 0.00736253i | ||||
\(841\) | 7.70932e10 | − | 9.66718e10i | 0.154110 | − | 0.193248i | ||||
\(842\) | 4.58060e9 | + | 2.20590e9i | 0.00911326 | + | 0.00438872i | ||||
\(843\) | −2.35298e11 | + | 5.37052e10i | −0.465916 | + | 0.106342i | ||||
\(844\) | −7.68410e11 | + | 1.75385e11i | −1.51434 | + | 0.345638i | ||||
\(845\) | −2.43506e10 | − | 1.94190e10i | −0.0477621 | − | 0.0380890i | ||||
\(846\) | −1.87089e10 | − | 3.88494e10i | −0.0365230 | − | 0.0758407i | ||||
\(847\) | −8.20979e9 | − | 1.87383e9i | −0.0159514 | − | 0.00364080i | ||||
\(848\) | 5.65808e11 | − | 2.72479e11i | 1.09417 | − | 0.526926i | ||||
\(849\) | 1.42123e11 | − | 1.13340e11i | 0.273549 | − | 0.218148i | ||||
\(850\) | −1.76348e10 | + | 4.02503e9i | −0.0337827 | + | 0.00771069i | ||||
\(851\) | −9.02607e11 | + | 7.19805e11i | −1.72100 | + | 1.37245i | ||||
\(852\) | 1.24406e10 | − | 5.45060e10i | 0.0236094 | − | 0.103439i | ||||
\(853\) | 6.37918e10 | 0.120495 | 0.0602474 | − | 0.998183i | \(-0.480811\pi\) | ||||
0.0602474 | + | 0.998183i | \(0.480811\pi\) | |||||||
\(854\) | − | 1.28418e9i | − | 0.00241431i | ||||||
\(855\) | −3.19158e10 | + | 1.39832e11i | −0.0597229 | + | 0.261663i | ||||
\(856\) | 2.20044e10 | + | 1.75479e10i | 0.0409839 | + | 0.0326836i | ||||
\(857\) | −7.78447e11 | − | 3.74880e11i | −1.44313 | − | 0.694975i | −0.461743 | − | 0.887014i | \(-0.652776\pi\) |
−0.981387 | + | 0.192038i | \(0.938490\pi\) | |||||||
\(858\) | 4.52499e10 | − | 2.17912e10i | 0.0834965 | − | 0.0402098i | ||||
\(859\) | − | 2.08576e11i | − | 0.383081i | −0.981485 | − | 0.191541i | \(-0.938652\pi\) | ||
0.981485 | − | 0.191541i | \(-0.0613484\pi\) | |||||||
\(860\) | −1.34904e10 | + | 2.05373e11i | −0.0246622 | + | 0.375449i | ||||
\(861\) | −4.93491e10 | −0.0897980 | ||||||||
\(862\) | −2.05136e10 | − | 4.25970e10i | −0.0371546 | − | 0.0771524i | ||||
\(863\) | −2.32382e11 | + | 4.82545e11i | −0.418946 | + | 0.869951i | 0.579539 | + | 0.814944i | \(0.303232\pi\) |
−0.998486 | + | 0.0550072i | \(0.982482\pi\) | |||||||
\(864\) | 1.66196e11 | − | 2.08403e11i | 0.298239 | − | 0.373980i | ||||
\(865\) | 6.41369e10 | + | 1.46388e10i | 0.114563 | + | 0.0261482i | ||||
\(866\) | 4.15885e10 | 0.0739439 | ||||||||
\(867\) | 3.69158e11i | 0.653335i | ||||||||
\(868\) | 1.09398e11 | + | 2.49693e10i | 0.192721 | + | 0.0439874i | ||||
\(869\) | −5.31303e11 | − | 6.66233e11i | −0.931673 | − | 1.16828i | ||||
\(870\) | −4.65876e9 | − | 2.04113e10i | −0.00813192 | − | 0.0356283i | ||||
\(871\) | 1.81623e11 | + | 2.27748e11i | 0.315572 | + | 0.395715i | ||||
\(872\) | 6.72119e10 | + | 1.39567e11i | 0.116247 | + | 0.241388i | ||||
\(873\) | 2.95427e10 | − | 1.29435e11i | 0.0508620 | − | 0.222841i | ||||
\(874\) | 1.65705e11 | − | 7.97995e10i | 0.283982 | − | 0.136759i | ||||
\(875\) | 2.95258e10 | − | 3.70241e10i | 0.0503697 | − | 0.0631616i | ||||
\(876\) | −1.39925e11 | − | 6.13050e11i | −0.237617 | − | 1.04107i | ||||
\(877\) | −2.00749e11 | − | 8.79540e11i | −0.339356 | − | 1.48682i | −0.800415 | − | 0.599447i | \(-0.795387\pi\) |
0.461058 | − | 0.887370i | \(-0.347470\pi\) | |||||||
\(878\) | 2.51722e10 | − | 5.22705e10i | 0.0423587 | − | 0.0879587i | ||||
\(879\) | −4.05537e11 | − | 3.23405e11i | −0.679321 | − | 0.541740i | ||||
\(880\) | 1.55146e11 | − | 1.23725e11i | 0.258708 | − | 0.206313i | ||||
\(881\) | −4.20931e11 | − | 2.02710e11i | −0.698726 | − | 0.336489i | 0.0505729 | − | 0.998720i | \(-0.483895\pi\) |
−0.749299 | + | 0.662231i | \(0.769610\pi\) | |||||||
\(882\) | 2.05226e10 | − | 4.26156e10i | 0.0339123 | − | 0.0704197i | ||||
\(883\) | −3.60631e11 | − | 4.52217e11i | −0.593226 | − | 0.743882i | 0.391079 | − | 0.920357i | \(-0.372102\pi\) |
−0.984305 | + | 0.176475i | \(0.943530\pi\) | |||||||
\(884\) | −8.90612e10 | + | 1.11679e11i | −0.145841 | + | 0.182879i | ||||
\(885\) | 2.00747e11 | + | 9.66744e10i | 0.327246 | + | 0.157594i | ||||
\(886\) | −2.89764e10 | + | 6.61368e9i | −0.0470230 | + | 0.0107327i | ||||
\(887\) | 1.37864e11 | − | 3.14665e10i | 0.222718 | − | 0.0508339i | −0.109706 | − | 0.993964i | \(-0.534991\pi\) |
0.332424 | + | 0.943130i | \(0.392134\pi\) | |||||||
\(888\) | −1.56270e11 | − | 1.24621e11i | −0.251318 | − | 0.200419i | ||||
\(889\) | −4.05640e10 | − | 8.42319e10i | −0.0649431 | − | 0.134856i | ||||
\(890\) | −5.07667e10 | − | 1.15872e10i | −0.0809132 | − | 0.0184679i | ||||
\(891\) | −1.22550e11 | + | 5.90168e10i | −0.194447 | + | 0.0936408i | ||||
\(892\) | 2.69859e11 | − | 2.15206e11i | 0.426263 | − | 0.339934i | ||||
\(893\) | −9.02596e11 | + | 2.06012e11i | −1.41934 | + | 0.323956i | ||||
\(894\) | −4.41629e10 | + | 3.52187e10i | −0.0691365 | + | 0.0551345i | ||||
\(895\) | 6.24865e10 | − | 2.73771e11i | 0.0973855 | − | 0.426674i | ||||
\(896\) | 4.27269e10 | 0.0662933 | ||||||||
\(897\) | 6.15430e11i | 0.950624i | ||||||||
\(898\) | 1.75773e10 | − | 7.70113e10i | 0.0270301 | − | 0.118427i | ||||
\(899\) | −7.93257e11 | − | 6.32601e11i | −1.21444 | − | 0.968481i | ||||
\(900\) | −2.49580e11 | − | 1.20191e11i | −0.380399 | − | 0.183191i | ||||
\(901\) | −2.03095e11 | + | 9.78056e10i | −0.308178 | + | 0.148411i | ||||
\(902\) | − | 1.07916e11i | − | 0.163027i | ||||||
\(903\) | 4.89345e10 | − | 1.97272e10i | 0.0735976 | − | 0.0296698i | ||||
\(904\) | −2.14503e11 | −0.321188 | ||||||||
\(905\) | 1.15876e11 | + | 2.40619e11i | 0.172743 | + | 0.358704i | ||||
\(906\) | 1.29661e10 | − | 2.69245e10i | 0.0192441 | − | 0.0399608i | ||||
\(907\) | −2.24484e11 | + | 2.81494e11i | −0.331708 | + | 0.415949i | −0.919517 | − | 0.393051i | \(-0.871420\pi\) |
0.587808 | + | 0.809000i | \(0.299991\pi\) | |||||||
\(908\) | 6.59819e11 | + | 1.50599e11i | 0.970692 | + | 0.221554i | ||||
\(909\) | 2.70136e11 | 0.395664 | ||||||||
\(910\) | 4.27606e9i | 0.00623560i | ||||||||
\(911\) | 7.97348e11 | + | 1.81990e11i | 1.15764 | + | 0.264224i | 0.757880 | − | 0.652394i | \(-0.226235\pi\) |
0.399763 | + | 0.916619i | \(0.369092\pi\) | |||||||
\(912\) | −3.84256e11 | − | 4.81842e11i | −0.555446 | − | 0.696507i | ||||
\(913\) | 1.10840e11 | + | 4.85622e11i | 0.159519 | + | 0.698900i | ||||
\(914\) | 9.97835e10 | + | 1.25125e11i | 0.142980 | + | 0.179291i | ||||
\(915\) | 1.12636e10 | + | 2.33892e10i | 0.0160692 | + | 0.0333680i | ||||
\(916\) | 1.56766e11 | − | 6.86837e11i | 0.222674 | − | 0.975599i | ||||
\(917\) | −8.19720e10 | + | 3.94756e10i | −0.115928 | + | 0.0558280i | ||||
\(918\) | −1.90624e10 | + | 2.39035e10i | −0.0268415 | + | 0.0336582i | ||||
\(919\) | 2.60401e11 | + | 1.14089e12i | 0.365073 | + | 1.59949i | 0.740114 | + | 0.672482i | \(0.234772\pi\) |
−0.375040 | + | 0.927008i | \(0.622371\pi\) | |||||||
\(920\) | −2.79564e10 | − | 1.22485e11i | −0.0390238 | − | 0.170974i | ||||
\(921\) | 2.28617e10 | − | 4.74729e10i | 0.0317739 | − | 0.0659792i | ||||
\(922\) | −8.55338e10 | − | 6.82109e10i | −0.118362 | − | 0.0943909i | ||||
\(923\) | 8.07223e10 | − | 6.43739e10i | 0.111221 | − | 0.0886958i | ||||
\(924\) | −4.70309e10 | − | 2.26489e10i | −0.0645201 | − | 0.0310713i | ||||
\(925\) | −4.02794e11 | + | 8.36410e11i | −0.550194 | + | 1.14249i | ||||
\(926\) | 5.81650e10 | + | 7.29367e10i | 0.0791076 | + | 0.0991978i | ||||
\(927\) | −8.11144e10 | + | 1.01714e11i | −0.109845 | + | 0.137741i | ||||
\(928\) | −2.62208e11 | − | 1.26273e11i | −0.353552 | − | 0.170262i | ||||
\(929\) | 5.05441e11 | − | 1.15364e11i | 0.678590 | − | 0.154884i | 0.130685 | − | 0.991424i | \(-0.458282\pi\) |
0.547906 | + | 0.836540i | \(0.315425\pi\) | |||||||
\(930\) | 5.49913e10 | − | 1.25514e10i | 0.0735126 | − | 0.0167788i | ||||
\(931\) | −7.93996e11 | − | 6.33191e11i | −1.05687 | − | 0.842822i | ||||
\(932\) | 3.48630e11 | + | 7.23938e11i | 0.462063 | + | 0.959484i | ||||
\(933\) | −6.38865e11 | − | 1.45817e11i | −0.843107 | − | 0.192434i | ||||
\(934\) | −2.03267e11 | + | 9.78885e10i | −0.267104 | + | 0.128631i | ||||
\(935\) | −5.56892e10 | + | 4.44107e10i | −0.0728659 | + | 0.0581087i | ||||
\(936\) | 1.07383e11 | − | 2.45094e10i | 0.139904 | − | 0.0319322i | ||||
\(937\) | −3.14653e11 | + | 2.50928e11i | −0.408201 | + | 0.325530i | −0.805970 | − | 0.591956i | \(-0.798356\pi\) |
0.397769 | + | 0.917486i | \(0.369784\pi\) | |||||||
\(938\) | −1.67526e9 | + | 7.33980e9i | −0.00216407 | + | 0.00948141i | ||||
\(939\) | −6.82639e11 | −0.878069 | ||||||||
\(940\) | 3.12326e11i | 0.400033i | ||||||||
\(941\) | −5.62792e10 | + | 2.46575e11i | −0.0717777 | + | 0.314479i | −0.998053 | − | 0.0623684i | \(-0.980135\pi\) |
0.926275 | + | 0.376847i | \(0.122992\pi\) | |||||||
\(942\) | −4.57599e10 | − | 3.64923e10i | −0.0581141 | − | 0.0463444i | ||||
\(943\) | 1.19143e12 | + | 5.73762e11i | 1.50668 | + | 0.725579i | ||||
\(944\) | 8.91685e11 | − | 4.29413e11i | 1.12285 | − | 0.540738i | ||||
\(945\) | − | 3.68069e10i | − | 0.0461532i | ||||||
\(946\) | 4.31393e10 | + | 1.07010e11i | 0.0538652 | + | 0.133616i | ||||
\(947\) | −3.82554e10 | −0.0475655 | −0.0237828 | − | 0.999717i | \(-0.507571\pi\) | ||||
−0.0237828 | + | 0.999717i | \(0.507571\pi\) | |||||||
\(948\) | 3.87381e11 | + | 8.04405e11i | 0.479629 | + | 0.995959i | ||||
\(949\) | 5.03855e11 | − | 1.04627e12i | 0.621213 | − | 1.28996i | ||||
\(950\) | 9.22105e10 | − | 1.15628e11i | 0.113210 | − | 0.141961i | ||||
\(951\) | 4.00141e11 | + | 9.13296e10i | 0.489205 | + | 0.111658i | ||||
\(952\) | −7.47525e9 | −0.00910076 | ||||||||
\(953\) | − | 5.03484e11i | − | 0.610400i | −0.952288 | − | 0.305200i | \(-0.901277\pi\) | ||
0.952288 | − | 0.305200i | \(-0.0987232\pi\) | |||||||
\(954\) | 8.36892e10 | + | 1.91015e10i | 0.101036 | + | 0.0230608i | ||||
\(955\) | −2.59288e11 | − | 3.25136e11i | −0.311723 | − | 0.390888i | ||||
\(956\) | 3.29749e11 | + | 1.44473e12i | 0.394778 | + | 1.72963i | ||||
\(957\) | 2.94284e11 | + | 3.69021e11i | 0.350848 | + | 0.439950i | ||||
\(958\) | 1.75300e9 | + | 3.64014e9i | 0.00208123 | + | 0.00432171i | ||||
\(959\) | 1.34905e10 | − | 5.91058e10i | 0.0159497 | − | 0.0698804i | ||||
\(960\) | −1.77403e11 | + | 8.54327e10i | −0.208870 | + | 0.100586i | ||||
\(961\) | 1.17255e12 | − | 1.47034e12i | 1.37480 | − | 1.72394i | ||||
\(962\) | −4.05645e10 | − | 1.77725e11i | −0.0473637 | − | 0.207514i | ||||
\(963\) | −1.65688e10 | − | 7.25928e10i | −0.0192658 | − | 0.0844090i | ||||
\(964\) | −2.38560e11 | + | 4.95374e11i | −0.276241 | + | 0.573621i | ||||
\(965\) | −1.26658e11 | − | 1.01007e11i | −0.146058 | − | 0.116477i | ||||
\(966\) | −1.24355e10 | + | 9.91696e9i | −0.0142808 | + | 0.0113886i | ||||
\(967\) | −8.15153e11 | − | 3.92557e11i | −0.932252 | − | 0.448949i | −0.0948222 | − | 0.995494i | \(-0.530228\pi\) |
−0.837429 | + | 0.546546i | \(0.815943\pi\) | |||||||
\(968\) | −1.69507e10 | + | 3.51986e10i | −0.0193058 | + | 0.0400889i | ||||
\(969\) | 1.37928e11 | + | 1.72956e11i | 0.156443 | + | 0.196174i | ||||
\(970\) | 1.49090e10 | − | 1.86952e10i | 0.0168407 | − | 0.0211176i | ||||
\(971\) | 1.10613e12 | + | 5.32686e11i | 1.24432 | + | 0.599231i | 0.935982 | − | 0.352047i | \(-0.114514\pi\) |
0.308334 | + | 0.951278i | \(0.400228\pi\) | |||||||
\(972\) | −7.59129e11 | + | 1.73266e11i | −0.850453 | + | 0.194110i | ||||
\(973\) | 2.28081e10 | − | 5.20579e9i | 0.0254470 | − | 0.00580812i | ||||
\(974\) | −2.14445e10 | − | 1.71014e10i | −0.0238276 | − | 0.0190019i | ||||
\(975\) | 2.14722e11 | + | 4.45874e11i | 0.237606 | + | 0.493394i | ||||
\(976\) | 1.12419e11 | + | 2.56590e10i | 0.123892 | + | 0.0282775i | ||||
\(977\) | −7.14805e11 | + | 3.44232e11i | −0.784530 | + | 0.377810i | −0.782867 | − | 0.622189i | \(-0.786244\pi\) |
−0.00166258 | + | 0.999999i | \(0.500529\pi\) | |||||||
\(978\) | −2.20397e10 | + | 1.75760e10i | −0.0240907 | + | 0.0192117i | ||||
\(979\) | 1.14451e12 | − | 2.61226e11i | 1.24591 | − | 0.284371i | ||||
\(980\) | −2.67858e11 | + | 2.13610e11i | −0.290403 | + | 0.231589i | ||||
\(981\) | 9.11945e10 | − | 3.99549e11i | 0.0984675 | − | 0.431414i | ||||
\(982\) | −1.25489e11 | −0.134945 | ||||||||
\(983\) | − | 1.07589e12i | − | 1.15227i | −0.817356 | − | 0.576133i | \(-0.804561\pi\) | ||
0.817356 | − | 0.576133i | \(-0.195439\pi\) | |||||||
\(984\) | −5.09455e10 | + | 2.23207e11i | −0.0543407 | + | 0.238082i | ||||
\(985\) | −3.19305e9 | − | 2.54637e9i | −0.00339204 | − | 0.00270506i | ||||
\(986\) | 3.00748e10 | + | 1.44833e10i | 0.0318197 | + | 0.0153235i | ||||
\(987\) | 7.21361e10 | − | 3.47389e10i | 0.0760123 | − | 0.0366056i | ||||
\(988\) | − | 1.16792e12i | − | 1.22570i | ||||||
\(989\) | −1.41078e12 | − | 9.26702e10i | −1.47460 | − | 0.0968624i | ||||
\(990\) | 2.71247e10 | 0.0282373 | ||||||||
\(991\) | 2.42663e11 | + | 5.03895e11i | 0.251599 | + | 0.522451i | 0.988068 | − | 0.154021i | \(-0.0492223\pi\) |
−0.736468 | + | 0.676472i | \(0.763508\pi\) | |||||||
\(992\) | 3.40197e11 | − | 7.06427e11i | 0.351305 | − | 0.729492i | ||||
\(993\) | 4.96409e11 | − | 6.22478e11i | 0.510556 | − | 0.640216i | ||||
\(994\) | 2.60150e9 | + | 5.93775e8i | 0.00266488 | + | 0.000608242i | ||||
\(995\) | 3.89471e11 | 0.397359 | ||||||||
\(996\) | − | 5.21888e11i | − | 0.530323i | ||||||
\(997\) | 1.11823e12 | + | 2.55228e11i | 1.13175 | + | 0.258313i | 0.747074 | − | 0.664740i | \(-0.231458\pi\) |
0.384671 | + | 0.923054i | \(0.374315\pi\) | |||||||
\(998\) | 9.09121e10 | + | 1.14000e11i | 0.0916430 | + | 0.114917i | ||||
\(999\) | 3.49165e11 | + | 1.52979e12i | 0.350565 | + | 1.53593i |
(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 | 43.9.f.a.2.13 | ✓ | 174 | |
43.22 | odd | 14 | inner | 43.9.f.a.22.13 | yes | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.13 | ✓ | 174 | 1.1 | even | 1 | trivial | |
43.9.f.a.22.13 | yes | 174 | 43.22 | odd | 14 | inner |