Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,8,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.99632081549\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 21.24 | ||
Character | \(\chi\) | \(=\) | 32.21 |
Dual form | 32.8.g.a.29.24 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 10.5954 | + | 3.96698i | 0.936512 | + | 0.350635i | ||||
\(3\) | −64.5670 | + | 26.7445i | −1.38066 | + | 0.571888i | −0.944658 | − | 0.328058i | \(-0.893606\pi\) |
−0.436002 | + | 0.899946i | \(0.643606\pi\) | |||||||
\(4\) | 96.5262 | + | 84.0636i | 0.754111 | + | 0.656747i | ||||
\(5\) | −11.3056 | + | 27.2941i | −0.0404481 | + | 0.0976504i | −0.942813 | − | 0.333323i | \(-0.891830\pi\) |
0.902364 | + | 0.430974i | \(0.141830\pi\) | |||||||
\(6\) | −790.210 | + | 27.2339i | −1.49353 | + | 0.0514732i | ||||
\(7\) | −730.571 | − | 730.571i | −0.805044 | − | 0.805044i | 0.178835 | − | 0.983879i | \(-0.442767\pi\) |
−0.983879 | + | 0.178835i | \(0.942767\pi\) | |||||||
\(8\) | 689.258 | + | 1273.61i | 0.475956 | + | 0.879469i | ||||
\(9\) | 1907.19 | − | 1907.19i | 0.872058 | − | 0.872058i | ||||
\(10\) | −228.063 | + | 244.344i | −0.0721197 | + | 0.0772683i | ||||
\(11\) | −4613.88 | − | 1911.13i | −1.04518 | − | 0.432929i | −0.207012 | − | 0.978338i | \(-0.566374\pi\) |
−0.838170 | + | 0.545410i | \(0.816374\pi\) | |||||||
\(12\) | −8480.65 | − | 2846.19i | −1.41676 | − | 0.475477i | ||||
\(13\) | −4631.15 | − | 11180.6i | −0.584638 | − | 1.41144i | −0.888567 | − | 0.458746i | \(-0.848299\pi\) |
0.303929 | − | 0.952695i | \(-0.401701\pi\) | |||||||
\(14\) | −4842.56 | − | 10638.9i | −0.471657 | − | 1.03621i | ||||
\(15\) | − | 2064.66i | − | 0.157954i | ||||||
\(16\) | 2250.61 | + | 16228.7i | 0.137366 | + | 0.990520i | ||||
\(17\) | 24389.7i | 1.20402i | 0.798487 | + | 0.602012i | \(0.205634\pi\) | ||||
−0.798487 | + | 0.602012i | \(0.794366\pi\) | |||||||
\(18\) | 27773.3 | − | 12641.7i | 1.12247 | − | 0.510919i | ||||
\(19\) | −6499.78 | − | 15691.9i | −0.217401 | − | 0.524852i | 0.777125 | − | 0.629347i | \(-0.216678\pi\) |
−0.994525 | + | 0.104495i | \(0.966678\pi\) | |||||||
\(20\) | −3385.73 | + | 1684.21i | −0.0946339 | + | 0.0470750i | ||||
\(21\) | 66709.6 | + | 27632.0i | 1.57189 | + | 0.651096i | ||||
\(22\) | −41304.6 | − | 38552.4i | −0.827026 | − | 0.771920i | ||||
\(23\) | −55239.7 | + | 55239.7i | −0.946682 | + | 0.946682i | −0.998649 | − | 0.0519670i | \(-0.983451\pi\) |
0.0519670 | + | 0.998649i | \(0.483451\pi\) | |||||||
\(24\) | −78565.4 | − | 63799.2i | −1.16009 | − | 0.942054i | ||||
\(25\) | 54625.6 | + | 54625.6i | 0.699207 | + | 0.699207i | ||||
\(26\) | −4715.90 | − | 136835.i | −0.0526208 | − | 1.52683i | ||||
\(27\) | −13644.4 | + | 32940.4i | −0.133408 | + | 0.322074i | ||||
\(28\) | −9104.79 | − | 131934.i | −0.0783821 | − | 1.13580i | ||||
\(29\) | −78625.3 | + | 32567.7i | −0.598645 | + | 0.247967i | −0.661365 | − | 0.750064i | \(-0.730023\pi\) |
0.0627199 | + | 0.998031i | \(0.480023\pi\) | |||||||
\(30\) | 8190.47 | − | 21876.0i | 0.0553840 | − | 0.147926i | ||||
\(31\) | −106864. | −0.644268 | −0.322134 | − | 0.946694i | \(-0.604400\pi\) | ||||
−0.322134 | + | 0.946694i | \(0.604400\pi\) | |||||||
\(32\) | −40532.6 | + | 180878.i | −0.218665 | + | 0.975800i | ||||
\(33\) | 349017. | 1.69063 | ||||||||
\(34\) | −96753.3 | + | 258419.i | −0.422172 | + | 1.12758i | ||||
\(35\) | 28199.8 | − | 11680.8i | 0.111175 | − | 0.0460503i | ||||
\(36\) | 344419. | − | 23768.5i | 1.23035 | − | 0.0849068i | ||||
\(37\) | −106114. | + | 256182.i | −0.344403 | + | 0.831462i | 0.652857 | + | 0.757481i | \(0.273570\pi\) |
−0.997260 | + | 0.0739805i | \(0.976430\pi\) | |||||||
\(38\) | −6618.73 | − | 192047.i | −0.0195673 | − | 0.567759i | ||||
\(39\) | 598039. | + | 598039.i | 1.61437 | + | 1.61437i | ||||
\(40\) | −42554.4 | + | 4413.80i | −0.105132 | + | 0.0109044i | ||||
\(41\) | 332894. | − | 332894.i | 0.754332 | − | 0.754332i | −0.220953 | − | 0.975285i | \(-0.570917\pi\) |
0.975285 | + | 0.220953i | \(0.0709166\pi\) | |||||||
\(42\) | 597201. | + | 557409.i | 1.24379 | + | 1.16092i | ||||
\(43\) | −186265. | − | 77153.3i | −0.357265 | − | 0.147984i | 0.196829 | − | 0.980438i | \(-0.436935\pi\) |
−0.554095 | + | 0.832454i | \(0.686935\pi\) | |||||||
\(44\) | −284704. | − | 572334.i | −0.503859 | − | 1.01290i | ||||
\(45\) | 30493.1 | + | 73617.0i | 0.0498837 | + | 0.120430i | ||||
\(46\) | −804423. | + | 366154.i | −1.21852 | + | 0.554640i | ||||
\(47\) | 475186.i | 0.667607i | 0.942643 | + | 0.333804i | \(0.108332\pi\) | ||||
−0.942643 | + | 0.333804i | \(0.891668\pi\) | |||||||
\(48\) | −579344. | − | 987647.i | −0.756123 | − | 1.28901i | ||||
\(49\) | 243926.i | 0.296191i | ||||||||
\(50\) | 362083. | + | 795480.i | 0.409650 | + | 0.899982i | ||||
\(51\) | −652291. | − | 1.57477e6i | −0.688566 | − | 1.66235i | ||||
\(52\) | 492853. | − | 1.46853e6i | 0.486078 | − | 1.44834i | ||||
\(53\) | −1.47108e6 | − | 609343.i | −1.35729 | − | 0.562207i | −0.418976 | − | 0.907997i | \(-0.637611\pi\) |
−0.938312 | + | 0.345791i | \(0.887611\pi\) | |||||||
\(54\) | −275242. | + | 294891.i | −0.237868 | + | 0.254849i | ||||
\(55\) | 104325. | − | 104325.i | 0.0845513 | − | 0.0845513i | ||||
\(56\) | 426909. | − | 1.43401e6i | 0.324846 | − | 1.09118i | ||||
\(57\) | 839344. | + | 839344.i | 0.600313 | + | 0.600313i | ||||
\(58\) | −962264. | + | 33163.6i | −0.647584 | + | 0.0223185i | ||||
\(59\) | −786490. | + | 1.89875e6i | −0.498553 | + | 1.20361i | 0.451710 | + | 0.892165i | \(0.350814\pi\) |
−0.950263 | + | 0.311448i | \(0.899186\pi\) | |||||||
\(60\) | 173563. | − | 199294.i | 0.103736 | − | 0.119115i | ||||
\(61\) | 1.04240e6 | − | 431777.i | 0.588005 | − | 0.243560i | −0.0687871 | − | 0.997631i | \(-0.521913\pi\) |
0.656792 | + | 0.754072i | \(0.271913\pi\) | |||||||
\(62\) | −1.13227e6 | − | 423928.i | −0.603365 | − | 0.225903i | ||||
\(63\) | −2.78668e6 | −1.40409 | ||||||||
\(64\) | −1.14700e6 | + | 1.75569e6i | −0.546932 | + | 0.837177i | ||||
\(65\) | 357522. | 0.161475 | ||||||||
\(66\) | 3.69798e6 | + | 1.38454e6i | 1.58329 | + | 0.592792i | ||||
\(67\) | 119955. | − | 49687.1i | 0.0487257 | − | 0.0201828i | −0.358188 | − | 0.933650i | \(-0.616605\pi\) |
0.406913 | + | 0.913467i | \(0.366605\pi\) | |||||||
\(68\) | −2.05028e6 | + | 2.35424e6i | −0.790739 | + | 0.907967i | ||||
\(69\) | 2.08930e6 | − | 5.04403e6i | 0.765649 | − | 1.84844i | ||||
\(70\) | 345127. | − | 11894.5i | 0.120264 | − | 0.00414479i | ||||
\(71\) | −2.75098e6 | − | 2.75098e6i | −0.912186 | − | 0.912186i | 0.0842581 | − | 0.996444i | \(-0.473148\pi\) |
−0.996444 | + | 0.0842581i | \(0.973148\pi\) | |||||||
\(72\) | 3.74356e6 | + | 1.11447e6i | 1.18201 | + | 0.351887i | ||||
\(73\) | 3.77513e6 | − | 3.77513e6i | 1.13580 | − | 1.13580i | 0.146604 | − | 0.989195i | \(-0.453166\pi\) |
0.989195 | − | 0.146604i | \(-0.0468342\pi\) | |||||||
\(74\) | −2.14059e6 | + | 2.29340e6i | −0.614077 | + | 0.657915i | ||||
\(75\) | −4.98795e6 | − | 2.06608e6i | −1.36524 | − | 0.565499i | ||||
\(76\) | 691716. | − | 2.06107e6i | 0.180751 | − | 0.538574i | ||||
\(77\) | 1.97455e6 | + | 4.76699e6i | 0.492891 | + | 1.18994i | ||||
\(78\) | 3.96407e6 | + | 8.70889e6i | 0.945825 | + | 2.07793i | ||||
\(79\) | − | 2.84528e6i | − | 0.649277i | −0.945838 | − | 0.324639i | \(-0.894757\pi\) | ||
0.945838 | − | 0.324639i | \(-0.105243\pi\) | |||||||
\(80\) | −468392. | − | 122046.i | −0.102281 | − | 0.0266508i | ||||
\(81\) | 3.40694e6i | 0.712307i | ||||||||
\(82\) | 4.84774e6 | − | 2.20657e6i | 0.970936 | − | 0.441946i | ||||
\(83\) | −441301. | − | 1.06539e6i | −0.0847152 | − | 0.204521i | 0.875845 | − | 0.482592i | \(-0.160305\pi\) |
−0.960560 | + | 0.278072i | \(0.910305\pi\) | |||||||
\(84\) | 4.11638e6 | + | 8.27507e6i | 0.757771 | + | 1.52333i | ||||
\(85\) | −665694. | − | 275740.i | −0.117573 | − | 0.0487004i | ||||
\(86\) | −1.66749e6 | − | 1.55638e6i | −0.282695 | − | 0.263858i | ||||
\(87\) | 4.20560e6 | − | 4.20560e6i | 0.684716 | − | 0.684716i | ||||
\(88\) | −746122. | − | 7.19353e6i | −0.116713 | − | 1.12526i | ||||
\(89\) | 5.80216e6 | + | 5.80216e6i | 0.872417 | + | 0.872417i | 0.992735 | − | 0.120318i | \(-0.0383914\pi\) |
−0.120318 | + | 0.992735i | \(0.538391\pi\) | |||||||
\(90\) | 31051.1 | + | 900969.i | 0.00448982 | + | 0.130275i | ||||
\(91\) | −4.78483e6 | + | 1.15516e7i | −0.665613 | + | 1.60693i | ||||
\(92\) | −9.97573e6 | + | 688428.i | −1.33563 | + | 0.0921725i | ||||
\(93\) | 6.89991e6 | − | 2.85804e6i | 0.889515 | − | 0.368449i | ||||
\(94\) | −1.88505e6 | + | 5.03480e6i | −0.234086 | + | 0.625222i | ||||
\(95\) | 501779. | 0.0600455 | ||||||||
\(96\) | −2.22043e6 | − | 1.27628e7i | −0.256146 | − | 1.47230i | ||||
\(97\) | −1.53110e7 | −1.70335 | −0.851673 | − | 0.524073i | \(-0.824412\pi\) | ||||
−0.851673 | + | 0.524073i | \(0.824412\pi\) | |||||||
\(98\) | −967649. | + | 2.58450e6i | −0.103855 | + | 0.277386i | ||||
\(99\) | −1.24444e7 | + | 5.15466e6i | −1.28900 | + | 0.533920i | ||||
\(100\) | 680774. | + | 9.86482e6i | 0.0680774 | + | 0.986482i | ||||
\(101\) | 3.16931e6 | − | 7.65138e6i | 0.306083 | − | 0.738950i | −0.693741 | − | 0.720224i | \(-0.744039\pi\) |
0.999825 | − | 0.0187261i | \(-0.00596105\pi\) | |||||||
\(102\) | −664227. | − | 1.92730e7i | −0.0619749 | − | 1.79824i | ||||
\(103\) | 1.35196e7 | + | 1.35196e7i | 1.21908 | + | 1.21908i | 0.967953 | + | 0.251132i | \(0.0808028\pi\) |
0.251132 | + | 0.967953i | \(0.419197\pi\) | |||||||
\(104\) | 1.10476e7 | − | 1.36046e7i | 0.963057 | − | 1.18595i | ||||
\(105\) | −1.50838e6 | + | 1.50838e6i | −0.127160 | + | 0.127160i | ||||
\(106\) | −1.31695e7 | − | 1.22920e7i | −1.07399 | − | 1.00243i | ||||
\(107\) | 1.62701e7 | + | 6.73932e6i | 1.28395 | + | 0.531830i | 0.917177 | − | 0.398480i | \(-0.130462\pi\) |
0.366774 | + | 0.930310i | \(0.380462\pi\) | |||||||
\(108\) | −4.08613e6 | + | 2.03262e6i | −0.312126 | + | 0.155265i | ||||
\(109\) | −1.12249e6 | − | 2.70992e6i | −0.0830210 | − | 0.200430i | 0.876918 | − | 0.480641i | \(-0.159596\pi\) |
−0.959939 | + | 0.280210i | \(0.909596\pi\) | |||||||
\(110\) | 1.51923e6 | − | 691515.i | 0.108830 | − | 0.0495367i | ||||
\(111\) | − | 1.93789e7i | − | 1.34492i | ||||||
\(112\) | 1.02120e7 | − | 1.35004e7i | 0.686826 | − | 0.907998i | ||||
\(113\) | 1.78381e7i | 1.16299i | 0.813551 | + | 0.581493i | \(0.197531\pi\) | ||||
−0.813551 | + | 0.581493i | \(0.802469\pi\) | |||||||
\(114\) | 5.56355e6 | + | 1.22229e7i | 0.351710 | + | 0.772691i | ||||
\(115\) | −883201. | − | 2.13224e6i | −0.0541523 | − | 0.130735i | ||||
\(116\) | −1.03272e7 | − | 3.46590e6i | −0.614296 | − | 0.206164i | ||||
\(117\) | −3.01560e7 | − | 1.24910e7i | −1.74070 | − | 0.721020i | ||||
\(118\) | −1.58655e7 | + | 1.69981e7i | −0.888929 | + | 0.952389i | ||||
\(119\) | 1.78184e7 | − | 1.78184e7i | 0.969291 | − | 0.969291i | ||||
\(120\) | 2.62957e6 | − | 1.42308e6i | 0.138915 | − | 0.0751790i | ||||
\(121\) | 3.85596e6 | + | 3.85596e6i | 0.197872 | + | 0.197872i | ||||
\(122\) | 1.27576e7 | − | 439678.i | 0.636074 | − | 0.0219218i | ||||
\(123\) | −1.25909e7 | + | 3.03971e7i | −0.610082 | + | 1.47287i | ||||
\(124\) | −1.03152e7 | − | 8.98340e6i | −0.485850 | − | 0.423121i | ||||
\(125\) | −4.24088e6 | + | 1.75663e6i | −0.194210 | + | 0.0804443i | ||||
\(126\) | −2.95260e7 | − | 1.10547e7i | −1.31495 | − | 0.492322i | ||||
\(127\) | 1.17900e7 | 0.510742 | 0.255371 | − | 0.966843i | \(-0.417802\pi\) | ||||
0.255371 | + | 0.966843i | \(0.417802\pi\) | |||||||
\(128\) | −1.91177e7 | + | 1.40521e7i | −0.805752 | + | 0.592254i | ||||
\(129\) | 1.40900e7 | 0.577892 | ||||||||
\(130\) | 3.78810e6 | + | 1.41828e6i | 0.151224 | + | 0.0566188i | ||||
\(131\) | 4.50360e7 | − | 1.86545e7i | 1.75029 | − | 0.724994i | 0.752498 | − | 0.658594i | \(-0.228849\pi\) |
0.997793 | − | 0.0664005i | \(-0.0211515\pi\) | |||||||
\(132\) | 3.36893e7 | + | 2.93396e7i | 1.27492 | + | 1.11031i | ||||
\(133\) | −6.71547e6 | + | 1.62126e7i | −0.247512 | + | 0.597546i | ||||
\(134\) | 1.46809e6 | − | 50596.3i | 0.0527090 | − | 0.00181657i | ||||
\(135\) | −744822. | − | 744822.i | −0.0260546 | − | 0.0260546i | ||||
\(136\) | −3.10629e7 | + | 1.68108e7i | −1.05890 | + | 0.573062i | ||||
\(137\) | −1.40587e7 | + | 1.40587e7i | −0.467115 | + | 0.467115i | −0.900979 | − | 0.433863i | \(-0.857150\pi\) |
0.433863 | + | 0.900979i | \(0.357150\pi\) | |||||||
\(138\) | 4.21466e7 | − | 4.51554e7i | 1.36517 | − | 1.46262i | ||||
\(139\) | −4.16033e7 | − | 1.72326e7i | −1.31394 | − | 0.544252i | −0.387909 | − | 0.921698i | \(-0.626803\pi\) |
−0.926032 | + | 0.377445i | \(0.876803\pi\) | |||||||
\(140\) | 3.70395e6 | + | 1.24308e6i | 0.114082 | + | 0.0382870i | ||||
\(141\) | −1.27086e7 | − | 3.06813e7i | −0.381796 | − | 0.921738i | ||||
\(142\) | −1.82347e7 | − | 4.00609e7i | −0.534430 | − | 1.17412i | ||||
\(143\) | 6.04366e7i | 1.72832i | ||||||||
\(144\) | 3.52435e7 | + | 2.66588e7i | 0.983582 | + | 0.743999i | ||||
\(145\) | − | 2.51420e6i | − | 0.0684877i | ||||||
\(146\) | 5.49749e7 | − | 2.50232e7i | 1.46194 | − | 0.665439i | ||||
\(147\) | −6.52369e6 | − | 1.57496e7i | −0.169388 | − | 0.408939i | ||||
\(148\) | −3.17783e7 | + | 1.58079e7i | −0.805778 | + | 0.400829i | ||||
\(149\) | −2.49069e7 | − | 1.03168e7i | −0.616833 | − | 0.255501i | 0.0523138 | − | 0.998631i | \(-0.483340\pi\) |
−0.669147 | + | 0.743130i | \(0.733340\pi\) | |||||||
\(150\) | −4.46534e7 | − | 4.16780e7i | −1.08028 | − | 1.00830i | ||||
\(151\) | 1.35835e7 | − | 1.35835e7i | 0.321066 | − | 0.321066i | −0.528110 | − | 0.849176i | \(-0.677099\pi\) |
0.849176 | + | 0.528110i | \(0.177099\pi\) | |||||||
\(152\) | 1.55053e7 | − | 1.90939e7i | 0.358118 | − | 0.441004i | ||||
\(153\) | 4.65157e7 | + | 4.65157e7i | 1.04998 | + | 1.04998i | ||||
\(154\) | 2.01068e6 | + | 5.83413e7i | 0.0443630 | + | 1.28722i | ||||
\(155\) | 1.20816e6 | − | 2.91677e6i | 0.0260594 | − | 0.0629130i | ||||
\(156\) | 7.45310e6 | + | 1.08000e8i | 0.157181 | + | 2.27765i | ||||
\(157\) | −1.97689e7 | + | 8.18855e6i | −0.407694 | + | 0.168872i | −0.577099 | − | 0.816674i | \(-0.695815\pi\) |
0.169405 | + | 0.985546i | \(0.445815\pi\) | |||||||
\(158\) | 1.12872e7 | − | 3.01470e7i | 0.227659 | − | 0.608056i | ||||
\(159\) | 1.11280e8 | 2.19547 | ||||||||
\(160\) | −4.47866e6 | − | 3.15123e6i | −0.0864426 | − | 0.0608220i | ||||
\(161\) | 8.07131e7 | 1.52424 | ||||||||
\(162\) | −1.35153e7 | + | 3.60980e7i | −0.249759 | + | 0.667084i | ||||
\(163\) | −5.71855e7 | + | 2.36870e7i | −1.03426 | + | 0.428404i | −0.834248 | − | 0.551389i | \(-0.814098\pi\) |
−0.200011 | + | 0.979794i | \(0.564098\pi\) | |||||||
\(164\) | 6.01173e7 | − | 4.14871e6i | 1.06426 | − | 0.0734446i | ||||
\(165\) | −3.94584e6 | + | 9.52611e6i | −0.0683827 | + | 0.165090i | ||||
\(166\) | −449376. | − | 1.30389e7i | −0.00762486 | − | 0.221240i | ||||
\(167\) | −3.92256e7 | − | 3.92256e7i | −0.651722 | − | 0.651722i | 0.301686 | − | 0.953407i | \(-0.402451\pi\) |
−0.953407 | + | 0.301686i | \(0.902451\pi\) | |||||||
\(168\) | 1.07878e7 | + | 1.04007e8i | 0.175529 | + | 1.69232i | ||||
\(169\) | −5.91880e7 | + | 5.91880e7i | −0.943258 | + | 0.943258i | ||||
\(170\) | −5.95946e6 | − | 5.56237e6i | −0.0930328 | − | 0.0868338i | ||||
\(171\) | −4.23237e7 | − | 1.75311e7i | −0.647288 | − | 0.268115i | ||||
\(172\) | −1.14936e7 | − | 2.31054e7i | −0.172229 | − | 0.346229i | ||||
\(173\) | −3.30227e7 | − | 7.97239e7i | −0.484899 | − | 1.17065i | −0.957256 | − | 0.289242i | \(-0.906597\pi\) |
0.472357 | − | 0.881407i | \(-0.343403\pi\) | |||||||
\(174\) | 6.12436e7 | − | 2.78766e7i | 0.881330 | − | 0.401160i | ||||
\(175\) | − | 7.98157e7i | − | 1.12578i | ||||||
\(176\) | 2.06311e7 | − | 7.91784e7i | 0.285252 | − | 1.09474i | ||||
\(177\) | − | 1.43631e8i | − | 1.94690i | ||||||
\(178\) | 3.84593e7 | + | 8.44933e7i | 0.511130 | + | 1.12293i | ||||
\(179\) | −4.72784e6 | − | 1.14140e7i | −0.0616137 | − | 0.148749i | 0.890074 | − | 0.455816i | \(-0.150652\pi\) |
−0.951688 | + | 0.307067i | \(0.900652\pi\) | |||||||
\(180\) | −3.24512e6 | + | 9.66933e6i | −0.0414741 | + | 0.123578i | ||||
\(181\) | −1.05032e8 | − | 4.35056e7i | −1.31657 | − | 0.545343i | −0.389779 | − | 0.920909i | \(-0.627449\pi\) |
−0.926796 | + | 0.375565i | \(0.877449\pi\) | |||||||
\(182\) | −9.65222e7 | + | 1.03413e8i | −1.18680 | + | 1.27152i | ||||
\(183\) | −5.57572e7 | + | 5.57572e7i | −0.672546 | + | 0.672546i | ||||
\(184\) | −1.08428e8 | − | 3.22793e7i | −1.28316 | − | 0.381999i | ||||
\(185\) | −5.79257e6 | − | 5.79257e6i | −0.0672621 | − | 0.0672621i | ||||
\(186\) | 8.44453e7 | − | 2.91034e6i | 0.962233 | − | 0.0331626i | ||||
\(187\) | 4.66119e7 | − | 1.12531e8i | 0.521256 | − | 1.25842i | ||||
\(188\) | −3.99459e7 | + | 4.58679e7i | −0.438449 | + | 0.503450i | ||||
\(189\) | 3.40335e7 | − | 1.40972e7i | 0.366683 | − | 0.151885i | ||||
\(190\) | 5.31657e6 | + | 1.99055e6i | 0.0562333 | + | 0.0210540i | ||||
\(191\) | 1.52149e8 | 1.57998 | 0.789992 | − | 0.613117i | \(-0.210085\pi\) | ||||
0.789992 | + | 0.613117i | \(0.210085\pi\) | |||||||
\(192\) | 2.71033e7 | − | 1.44036e8i | 0.276355 | − | 1.46864i | ||||
\(193\) | −1.30908e8 | −1.31074 | −0.655369 | − | 0.755309i | \(-0.727487\pi\) | ||||
−0.655369 | + | 0.755309i | \(0.727487\pi\) | |||||||
\(194\) | −1.62227e8 | − | 6.07385e7i | −1.59521 | − | 0.597252i | ||||
\(195\) | −2.30841e7 | + | 9.56176e6i | −0.222942 | + | 0.0923457i | ||||
\(196\) | −2.05053e7 | + | 2.35452e7i | −0.194523 | + | 0.223361i | ||||
\(197\) | −1.79424e7 | + | 4.33168e7i | −0.167205 | + | 0.403669i | −0.985166 | − | 0.171605i | \(-0.945105\pi\) |
0.817961 | + | 0.575274i | \(0.195105\pi\) | |||||||
\(198\) | −1.52303e8 | + | 5.24898e6i | −1.39437 | + | 0.0480559i | ||||
\(199\) | −1.14175e8 | − | 1.14175e8i | −1.02703 | − | 1.02703i | −0.999624 | − | 0.0274098i | \(-0.991274\pi\) |
−0.0274098 | − | 0.999624i | \(-0.508726\pi\) | |||||||
\(200\) | −3.19204e7 | + | 1.07223e8i | −0.282139 | + | 0.947723i | ||||
\(201\) | −6.41630e6 | + | 6.41630e6i | −0.0557312 | + | 0.0557312i | ||||
\(202\) | 6.39330e7 | − | 6.84971e7i | 0.545752 | − | 0.584713i | ||||
\(203\) | 8.12344e7 | + | 3.36484e7i | 0.681560 | + | 0.282311i | ||||
\(204\) | 6.94177e7 | − | 2.06840e8i | 0.572486 | − | 1.70581i | ||||
\(205\) | 5.32248e6 | + | 1.28496e7i | 0.0431495 | + | 0.104172i | ||||
\(206\) | 8.96141e7 | + | 1.96878e8i | 0.714235 | + | 1.56914i | ||||
\(207\) | 2.10705e8i | 1.65112i | ||||||||
\(208\) | 1.71023e8 | − | 1.00321e8i | 1.31775 | − | 0.772980i | ||||
\(209\) | 8.48224e7i | 0.642685i | ||||||||
\(210\) | −2.19657e7 | + | 9.99825e6i | −0.163673 | + | 0.0745000i | ||||
\(211\) | 8.16120e7 | + | 1.97029e8i | 0.598089 | + | 1.44391i | 0.875527 | + | 0.483170i | \(0.160515\pi\) |
−0.277438 | + | 0.960744i | \(0.589485\pi\) | |||||||
\(212\) | −9.07745e7 | − | 1.82482e8i | −0.654317 | − | 1.31536i | ||||
\(213\) | 2.51196e8 | + | 1.04049e8i | 1.78109 | + | 0.737750i | ||||
\(214\) | 1.45654e8 | + | 1.35949e8i | 1.01596 | + | 0.948263i | ||||
\(215\) | 4.21166e6 | − | 4.21166e6i | 0.0289014 | − | 0.0289014i | ||||
\(216\) | −5.13577e7 | + | 5.32688e6i | −0.346751 | + | 0.0359654i | ||||
\(217\) | 7.80720e7 | + | 7.80720e7i | 0.518664 | + | 0.518664i | ||||
\(218\) | −1.14303e6 | − | 3.31656e7i | −0.00747237 | − | 0.216816i | ||||
\(219\) | −1.42785e8 | + | 3.44713e8i | −0.918602 | + | 2.21770i | ||||
\(220\) | 1.88401e7 | − | 1.30016e6i | 0.119290 | − | 0.00823223i | ||||
\(221\) | 2.72691e8 | − | 1.12952e8i | 1.69941 | − | 0.703918i | ||||
\(222\) | 7.68755e7 | − | 2.05327e8i | 0.471577 | − | 1.25954i | ||||
\(223\) | −8.34043e7 | −0.503642 | −0.251821 | − | 0.967774i | \(-0.581029\pi\) | ||||
−0.251821 | + | 0.967774i | \(0.581029\pi\) | |||||||
\(224\) | 1.61756e8 | − | 1.02532e8i | 0.961597 | − | 0.609527i | ||||
\(225\) | 2.08363e8 | 1.21950 | ||||||||
\(226\) | −7.07634e7 | + | 1.89003e8i | −0.407783 | + | 1.08915i | ||||
\(227\) | 9.59743e7 | − | 3.97539e7i | 0.544584 | − | 0.225574i | −0.0933934 | − | 0.995629i | \(-0.529771\pi\) |
0.637977 | + | 0.770055i | \(0.279771\pi\) | |||||||
\(228\) | 1.04604e7 | + | 1.51577e8i | 0.0584487 | + | 0.846957i | ||||
\(229\) | −2.41874e7 | + | 5.83935e7i | −0.133096 | + | 0.321322i | −0.976351 | − | 0.216192i | \(-0.930636\pi\) |
0.843255 | + | 0.537514i | \(0.180636\pi\) | |||||||
\(230\) | −899363. | − | 2.60956e7i | −0.00487402 | − | 0.141423i | ||||
\(231\) | −2.54982e8 | − | 2.54982e8i | −1.36103 | − | 1.36103i | ||||
\(232\) | −9.56715e7 | − | 7.76903e7i | −0.503008 | − | 0.408469i | ||||
\(233\) | −1.54702e8 | + | 1.54702e8i | −0.801217 | + | 0.801217i | −0.983286 | − | 0.182068i | \(-0.941721\pi\) |
0.182068 | + | 0.983286i | \(0.441721\pi\) | |||||||
\(234\) | −2.69964e8 | − | 2.51976e8i | −1.37737 | − | 1.28559i | ||||
\(235\) | −1.29698e7 | − | 5.37226e6i | −0.0651921 | − | 0.0270034i | ||||
\(236\) | −2.35533e8 | + | 1.17164e8i | −1.16643 | + | 0.580234i | ||||
\(237\) | 7.60957e7 | + | 1.83711e8i | 0.371314 | + | 0.896431i | ||||
\(238\) | 2.59479e8 | − | 1.18108e8i | 1.24762 | − | 0.567886i | ||||
\(239\) | − | 4.01707e7i | − | 0.190334i | −0.995461 | − | 0.0951672i | \(-0.969661\pi\) | ||
0.995461 | − | 0.0951672i | \(-0.0303386\pi\) | |||||||
\(240\) | 3.35068e7 | − | 4.64675e6i | 0.156456 | − | 0.0216975i | ||||
\(241\) | − | 2.69789e8i | − | 1.24155i | −0.783989 | − | 0.620774i | \(-0.786818\pi\) | ||
0.783989 | − | 0.620774i | \(-0.213182\pi\) | |||||||
\(242\) | 2.55590e7 | + | 5.61520e7i | 0.115929 | + | 0.254690i | ||||
\(243\) | −1.20957e8 | − | 2.92017e8i | −0.540767 | − | 1.30553i | ||||
\(244\) | 1.36916e8 | + | 4.59503e7i | 0.603378 | + | 0.202500i | ||||
\(245\) | −6.65774e6 | − | 2.75773e6i | −0.0289232 | − | 0.0119804i | ||||
\(246\) | −2.53990e8 | + | 2.72122e8i | −1.08779 | + | 1.16544i | ||||
\(247\) | −1.45343e8 | + | 1.45343e8i | −0.613697 | + | 0.613697i | ||||
\(248\) | −7.36571e7 | − | 1.36103e8i | −0.306643 | − | 0.566614i | ||||
\(249\) | 5.69870e7 | + | 5.69870e7i | 0.233926 | + | 0.233926i | ||||
\(250\) | −5.19025e7 | + | 1.78878e6i | −0.210086 | + | 0.00724045i | ||||
\(251\) | −4.35059e7 | + | 1.05033e8i | −0.173656 | + | 0.419243i | −0.986613 | − | 0.163081i | \(-0.947857\pi\) |
0.812956 | + | 0.582324i | \(0.197857\pi\) | |||||||
\(252\) | −2.68987e8 | − | 2.34258e8i | −1.05884 | − | 0.922132i | ||||
\(253\) | 3.60440e8 | − | 1.49299e8i | 1.39930 | − | 0.579609i | ||||
\(254\) | 1.24920e8 | + | 4.67707e7i | 0.478316 | + | 0.179084i | ||||
\(255\) | 5.03564e7 | 0.190180 | ||||||||
\(256\) | −2.58305e8 | + | 7.30489e7i | −0.962261 | + | 0.272128i | ||||
\(257\) | −1.02156e8 | −0.375402 | −0.187701 | − | 0.982226i | \(-0.560104\pi\) | ||||
−0.187701 | + | 0.982226i | \(0.560104\pi\) | |||||||
\(258\) | 1.49289e8 | + | 5.58947e7i | 0.541203 | + | 0.202629i | ||||
\(259\) | 2.64683e8 | − | 1.09635e8i | 0.946622 | − | 0.392104i | ||||
\(260\) | 3.45102e7 | + | 3.00546e7i | 0.121770 | + | 0.106048i | ||||
\(261\) | −8.78407e7 | + | 2.12066e8i | −0.305812 | + | 0.738294i | ||||
\(262\) | 5.51178e8 | − | 1.89959e7i | 1.89338 | − | 0.0652537i | ||||
\(263\) | 6.42815e7 | + | 6.42815e7i | 0.217892 | + | 0.217892i | 0.807610 | − | 0.589718i | \(-0.200761\pi\) |
−0.589718 | + | 0.807610i | \(0.700761\pi\) | |||||||
\(264\) | 2.40563e8 | + | 4.44511e8i | 0.804664 | + | 1.48685i | ||||
\(265\) | 3.32629e7 | − | 3.32629e7i | 0.109799 | − | 0.109799i | ||||
\(266\) | −1.35468e8 | + | 1.45139e8i | −0.441318 | + | 0.472823i | ||||
\(267\) | −5.29804e8 | − | 2.19452e8i | −1.70344 | − | 0.705586i | ||||
\(268\) | 1.57557e7 | + | 5.28777e6i | 0.0499996 | + | 0.0167803i | ||||
\(269\) | 1.12007e8 | + | 2.70408e8i | 0.350841 | + | 0.847006i | 0.996517 | + | 0.0833938i | \(0.0265759\pi\) |
−0.645675 | + | 0.763612i | \(0.723424\pi\) | |||||||
\(270\) | −4.93702e6 | − | 1.08464e7i | −0.0152648 | − | 0.0335361i | ||||
\(271\) | 1.71659e8i | 0.523930i | 0.965077 | + | 0.261965i | \(0.0843704\pi\) | ||||
−0.965077 | + | 0.261965i | \(0.915630\pi\) | |||||||
\(272\) | −3.95812e8 | + | 5.48917e7i | −1.19261 | + | 0.165392i | ||||
\(273\) | − | 8.73821e8i | − | 2.59928i | ||||||
\(274\) | −2.04729e8 | + | 9.31876e7i | −0.601246 | + | 0.273673i | ||||
\(275\) | −1.47639e8 | − | 3.56433e8i | −0.428092 | − | 1.03351i | ||||
\(276\) | 6.25692e8 | − | 3.11246e8i | 1.79134 | − | 0.891091i | ||||
\(277\) | −3.71173e8 | − | 1.53745e8i | −1.04929 | − | 0.434631i | −0.209654 | − | 0.977776i | \(-0.567234\pi\) |
−0.839639 | + | 0.543144i | \(0.817234\pi\) | |||||||
\(278\) | −3.72443e8 | − | 3.47627e8i | −1.03969 | − | 0.970412i | ||||
\(279\) | −2.03811e8 | + | 2.03811e8i | −0.561839 | + | 0.561839i | ||||
\(280\) | 3.43136e7 | + | 2.78645e7i | 0.0934144 | + | 0.0758573i | ||||
\(281\) | 5.52788e7 | + | 5.52788e7i | 0.148623 | + | 0.148623i | 0.777503 | − | 0.628880i | \(-0.216486\pi\) |
−0.628880 | + | 0.777503i | \(0.716486\pi\) | |||||||
\(282\) | −1.29412e7 | − | 3.75497e8i | −0.0343639 | − | 0.997090i | ||||
\(283\) | −4.94025e7 | + | 1.19268e8i | −0.129568 | + | 0.312804i | −0.975329 | − | 0.220758i | \(-0.929147\pi\) |
0.845761 | + | 0.533562i | \(0.179147\pi\) | |||||||
\(284\) | −3.42843e7 | − | 4.96799e8i | −0.0888138 | − | 1.28696i | ||||
\(285\) | −3.23984e7 | + | 1.34199e7i | −0.0829023 | + | 0.0343393i | ||||
\(286\) | −2.39751e8 | + | 6.40352e8i | −0.606008 | + | 1.61859i | ||||
\(287\) | −4.86406e8 | −1.21454 | ||||||||
\(288\) | 2.67665e8 | + | 4.22272e8i | 0.660265 | + | 1.04164i | ||||
\(289\) | −1.84518e8 | −0.449671 | ||||||||
\(290\) | 9.97379e6 | − | 2.66391e7i | 0.0240141 | − | 0.0641396i | ||||
\(291\) | 9.88587e8 | − | 4.09486e8i | 2.35174 | − | 0.974123i | ||||
\(292\) | 6.81749e8 | − | 4.70477e7i | 1.60245 | − | 0.110586i | ||||
\(293\) | −1.65403e8 | + | 3.99319e8i | −0.384156 | + | 0.927435i | 0.606996 | + | 0.794705i | \(0.292374\pi\) |
−0.991152 | + | 0.132730i | \(0.957626\pi\) | |||||||
\(294\) | −6.64307e6 | − | 1.92753e8i | −0.0152459 | − | 0.442370i | ||||
\(295\) | −4.29331e7 | − | 4.29331e7i | −0.0973677 | − | 0.0973677i | ||||
\(296\) | −3.99415e8 | + | 4.14278e7i | −0.895165 | + | 0.0928476i | ||||
\(297\) | 1.25907e8 | − | 1.25907e8i | 0.278870 | − | 0.278870i | ||||
\(298\) | −2.22973e8 | − | 2.08116e8i | −0.488085 | − | 0.455563i | ||||
\(299\) | 8.73436e8 | + | 3.61789e8i | 1.88965 | + | 0.782719i | ||||
\(300\) | −3.07786e8 | − | 6.18735e8i | −0.658149 | − | 1.32306i | ||||
\(301\) | 7.97136e7 | + | 1.92446e8i | 0.168480 | + | 0.406748i | ||||
\(302\) | 1.97809e8 | − | 9.00379e7i | 0.413259 | − | 0.188105i | ||||
\(303\) | 5.78789e8i | 1.19528i | ||||||||
\(304\) | 2.40030e8 | − | 1.40799e8i | 0.490013 | − | 0.287437i | ||||
\(305\) | 3.33329e7i | 0.0672704i | ||||||||
\(306\) | 3.08327e8 | + | 6.77381e8i | 0.615159 | + | 1.35148i | ||||
\(307\) | −1.02232e8 | − | 2.46809e8i | −0.201652 | − | 0.486830i | 0.790411 | − | 0.612577i | \(-0.209867\pi\) |
−0.992062 | + | 0.125747i | \(0.959867\pi\) | |||||||
\(308\) | −2.10134e8 | + | 6.26127e8i | −0.409798 | + | 1.22105i | ||||
\(309\) | −1.23450e9 | − | 5.11346e8i | −2.38032 | − | 0.985961i | ||||
\(310\) | 2.43718e7 | − | 2.61116e7i | 0.0464645 | − | 0.0497815i | ||||
\(311\) | 3.64335e8 | − | 3.64335e8i | 0.686814 | − | 0.686814i | −0.274712 | − | 0.961526i | \(-0.588583\pi\) |
0.961526 | + | 0.274712i | \(0.0885826\pi\) | |||||||
\(312\) | −3.49464e8 | + | 1.17387e9i | −0.651420 | + | 2.18816i | ||||
\(313\) | −6.99647e7 | − | 6.99647e7i | −0.128966 | − | 0.128966i | 0.639678 | − | 0.768643i | \(-0.279068\pi\) |
−0.768643 | + | 0.639678i | \(0.779068\pi\) | |||||||
\(314\) | −2.41944e8 | + | 8.33839e6i | −0.441023 | + | 0.0151995i | ||||
\(315\) | 3.15050e7 | − | 7.60599e7i | 0.0567927 | − | 0.137110i | ||||
\(316\) | 2.39185e8 | − | 2.74644e8i | 0.426411 | − | 0.489627i | ||||
\(317\) | −2.81674e8 | + | 1.16673e8i | −0.496637 | + | 0.205714i | −0.616920 | − | 0.787026i | \(-0.711620\pi\) |
0.120283 | + | 0.992740i | \(0.461620\pi\) | |||||||
\(318\) | 1.17906e9 | + | 4.41446e8i | 2.05609 | + | 0.769808i | ||||
\(319\) | 4.25009e8 | 0.733045 | ||||||||
\(320\) | −3.49524e7 | − | 5.11554e7i | −0.0596283 | − | 0.0872703i | ||||
\(321\) | −1.23076e9 | −2.07685 | ||||||||
\(322\) | 8.55190e8 | + | 3.20187e8i | 1.42747 | + | 0.534451i | ||||
\(323\) | 3.82720e8 | − | 1.58528e8i | 0.631934 | − | 0.261756i | ||||
\(324\) | −2.86400e8 | + | 3.28859e8i | −0.467805 | + | 0.537158i | ||||
\(325\) | 3.57767e8 | − | 8.63725e8i | 0.578107 | − | 1.39567i | ||||
\(326\) | −6.99871e8 | + | 2.41205e7i | −1.11881 | + | 0.0385589i | ||||
\(327\) | 1.44951e8 | + | 1.44951e8i | 0.229247 | + | 0.229247i | ||||
\(328\) | 6.53426e8 | + | 1.94526e8i | 1.02244 | + | 0.304383i | ||||
\(329\) | 3.47157e8 | − | 3.47157e8i | 0.537453 | − | 0.537453i | ||||
\(330\) | −7.95977e7 | + | 8.52801e7i | −0.121928 | + | 0.130632i | ||||
\(331\) | 2.28794e8 | + | 9.47696e7i | 0.346774 | + | 0.143639i | 0.549271 | − | 0.835644i | \(-0.314906\pi\) |
−0.202497 | + | 0.979283i | \(0.564906\pi\) | |||||||
\(332\) | 4.69638e7 | − | 1.39936e8i | 0.0704337 | − | 0.209868i | ||||
\(333\) | 2.86208e8 | + | 6.90967e8i | 0.424744 | + | 1.02542i | ||||
\(334\) | −2.60005e8 | − | 5.71219e8i | −0.381829 | − | 0.838861i | ||||
\(335\) | 3.83582e6i | 0.00557443i | ||||||||
\(336\) | −2.98294e8 | + | 1.14480e9i | −0.429000 | + | 1.64642i | ||||
\(337\) | 9.11022e8i | 1.29665i | 0.761362 | + | 0.648327i | \(0.224531\pi\) | ||||
−0.761362 | + | 0.648327i | \(0.775469\pi\) | |||||||
\(338\) | −8.61920e8 | + | 3.92325e8i | −1.21411 | + | 0.552634i | ||||
\(339\) | −4.77073e8 | − | 1.15176e9i | −0.665098 | − | 1.60569i | ||||
\(340\) | −4.10773e7 | − | 8.25768e7i | −0.0566794 | − | 0.113941i | ||||
\(341\) | 4.93059e8 | + | 2.04232e8i | 0.673378 | + | 0.278922i | ||||
\(342\) | −3.78892e8 | − | 3.53646e8i | −0.512182 | − | 0.478055i | ||||
\(343\) | −4.23452e8 | + | 4.23452e8i | −0.566597 | + | 0.566597i | ||||
\(344\) | −3.01213e7 | − | 2.90407e8i | −0.0398951 | − | 0.384638i | ||||
\(345\) | 1.14051e8 | + | 1.14051e8i | 0.149532 | + | 0.149532i | ||||
\(346\) | −3.36270e7 | − | 9.75709e8i | −0.0436437 | − | 1.26635i | ||||
\(347\) | −1.53413e8 | + | 3.70371e8i | −0.197110 | + | 0.475865i | −0.991271 | − | 0.131843i | \(-0.957911\pi\) |
0.794161 | + | 0.607707i | \(0.207911\pi\) | |||||||
\(348\) | 7.59488e8 | − | 5.24125e7i | 0.966037 | − | 0.0666665i | ||||
\(349\) | 8.82573e8 | − | 3.65574e8i | 1.11138 | − | 0.460348i | 0.249966 | − | 0.968255i | \(-0.419581\pi\) |
0.861412 | + | 0.507907i | \(0.169581\pi\) | |||||||
\(350\) | 3.16627e8 | − | 8.45682e8i | 0.394739 | − | 1.05431i | ||||
\(351\) | 4.31483e8 | 0.532584 | ||||||||
\(352\) | 5.32694e8 | − | 7.57086e8i | 0.650997 | − | 0.925222i | ||||
\(353\) | −4.58997e7 | −0.0555390 | −0.0277695 | − | 0.999614i | \(-0.508840\pi\) | ||||
−0.0277695 | + | 0.999614i | \(0.508840\pi\) | |||||||
\(354\) | 5.69782e8 | − | 1.52184e9i | 0.682649 | − | 1.82329i | ||||
\(355\) | 1.06187e8 | − | 4.39841e7i | 0.125971 | − | 0.0521791i | ||||
\(356\) | 7.23097e7 | + | 1.04781e9i | 0.0849418 | + | 1.23086i | ||||
\(357\) | −6.73936e8 | + | 1.62703e9i | −0.783935 | + | 1.89259i | ||||
\(358\) | −4.81436e6 | − | 1.39692e8i | −0.00554559 | − | 0.160909i | ||||
\(359\) | −8.94944e7 | − | 8.94944e7i | −0.102086 | − | 0.102086i | 0.654219 | − | 0.756305i | \(-0.272997\pi\) |
−0.756305 | + | 0.654219i | \(0.772997\pi\) | |||||||
\(360\) | −7.27415e7 | + | 8.95774e7i | −0.0821719 | + | 0.101190i | ||||
\(361\) | 4.28075e8 | − | 4.28075e8i | 0.478900 | − | 0.478900i | ||||
\(362\) | −9.40270e8 | − | 8.77618e8i | −1.04177 | − | 0.972357i | ||||
\(363\) | −3.52094e8 | − | 1.45842e8i | −0.386354 | − | 0.160033i | ||||
\(364\) | −1.43293e9 | + | 7.12802e8i | −1.55729 | + | 0.774665i | ||||
\(365\) | 6.03587e7 | + | 1.45719e8i | 0.0649703 | + | 0.156852i | ||||
\(366\) | −8.11958e8 | + | 3.69584e8i | −0.865665 | + | 0.394030i | ||||
\(367\) | 3.18809e8i | 0.336666i | 0.985730 | + | 0.168333i | \(0.0538384\pi\) | ||||
−0.985730 | + | 0.168333i | \(0.946162\pi\) | |||||||
\(368\) | −1.02079e9 | − | 7.72145e8i | −1.06775 | − | 0.807665i | ||||
\(369\) | − | 1.26978e9i | − | 1.31564i | ||||||
\(370\) | −3.83958e7 | − | 8.43538e7i | −0.0394074 | − | 0.0865762i | ||||
\(371\) | 6.29563e8 | + | 1.51990e9i | 0.640075 | + | 1.54528i | ||||
\(372\) | 9.06279e8 | + | 3.04156e8i | 0.912771 | + | 0.306335i | ||||
\(373\) | 2.02626e8 | + | 8.39305e7i | 0.202169 | + | 0.0837411i | 0.481470 | − | 0.876462i | \(-0.340103\pi\) |
−0.279301 | + | 0.960203i | \(0.590103\pi\) | |||||||
\(374\) | 9.40281e8 | − | 1.00741e9i | 0.929409 | − | 0.995759i | ||||
\(375\) | 2.26841e8 | − | 2.26841e8i | 0.222132 | − | 0.222132i | ||||
\(376\) | −6.05200e8 | + | 3.27526e8i | −0.587140 | + | 0.317752i | ||||
\(377\) | 7.28251e8 | + | 7.28251e8i | 0.699981 | + | 0.699981i | ||||
\(378\) | 4.16523e8 | − | 1.43551e7i | 0.396659 | − | 0.0136705i | ||||
\(379\) | −5.37813e8 | + | 1.29840e9i | −0.507451 | + | 1.22510i | 0.437895 | + | 0.899026i | \(0.355724\pi\) |
−0.945346 | + | 0.326069i | \(0.894276\pi\) | |||||||
\(380\) | 4.84349e7 | + | 4.21814e7i | 0.0452809 | + | 0.0394347i | ||||
\(381\) | −7.61247e8 | + | 3.15319e8i | −0.705160 | + | 0.292087i | ||||
\(382\) | 1.61208e9 | + | 6.03572e8i | 1.47967 | + | 0.553997i | ||||
\(383\) | 2.96534e8 | 0.269699 | 0.134849 | − | 0.990866i | \(-0.456945\pi\) | ||||
0.134849 | + | 0.990866i | \(0.456945\pi\) | |||||||
\(384\) | 8.58557e8 | − | 1.41860e9i | 0.773766 | − | 1.27850i | ||||
\(385\) | −1.52434e8 | −0.136135 | ||||||||
\(386\) | −1.38703e9 | − | 5.19310e8i | −1.22752 | − | 0.459590i | ||||
\(387\) | −5.02388e8 | + | 2.08096e8i | −0.440607 | + | 0.182505i | ||||
\(388\) | −1.47791e9 | − | 1.28710e9i | −1.28451 | − | 1.11867i | ||||
\(389\) | 3.45031e8 | − | 8.32980e8i | 0.297191 | − | 0.717482i | −0.702791 | − | 0.711397i | \(-0.748063\pi\) |
0.999981 | − | 0.00608511i | \(-0.00193696\pi\) | |||||||
\(390\) | −2.82518e8 | + | 9.73673e6i | −0.241168 | + | 0.00831165i | ||||
\(391\) | −1.34728e9 | − | 1.34728e9i | −1.13983 | − | 1.13983i | ||||
\(392\) | −3.10666e8 | + | 1.68128e8i | −0.260491 | + | 0.140974i | ||||
\(393\) | −2.40894e9 | + | 2.40894e9i | −2.00194 | + | 2.00194i | ||||
\(394\) | −3.61945e8 | + | 3.87783e8i | −0.298130 | + | 0.319413i | ||||
\(395\) | 7.76594e7 | + | 3.21676e7i | 0.0634022 | + | 0.0262620i | ||||
\(396\) | −1.63453e9 | − | 5.48566e8i | −1.32270 | − | 0.443910i | ||||
\(397\) | 1.15407e8 | + | 2.78618e8i | 0.0925692 | + | 0.223482i | 0.963382 | − | 0.268133i | \(-0.0864068\pi\) |
−0.870813 | + | 0.491615i | \(0.836407\pi\) | |||||||
\(398\) | −7.56803e8 | − | 1.66266e9i | −0.601717 | − | 1.32194i | ||||
\(399\) | − | 1.22640e9i | − | 0.966557i | ||||||
\(400\) | −7.63560e8 | + | 1.00944e9i | −0.596531 | + | 0.788627i | ||||
\(401\) | − | 8.02031e8i | − | 0.621135i | −0.950551 | − | 0.310567i | \(-0.899481\pi\) | ||
0.950551 | − | 0.310567i | \(-0.100519\pi\) | |||||||
\(402\) | −9.34368e7 | + | 4.25301e7i | −0.0717343 | + | 0.0326517i | ||||
\(403\) | 4.94905e8 | + | 1.19481e9i | 0.376664 | + | 0.909347i | ||||
\(404\) | 9.49124e8 | − | 4.72136e8i | 0.716124 | − | 0.356231i | ||||
\(405\) | −9.29894e7 | − | 3.85175e7i | −0.0695570 | − | 0.0288114i | ||||
\(406\) | 7.27231e8 | + | 6.78774e8i | 0.539301 | + | 0.503366i | ||||
\(407\) | 9.79194e8 | − | 9.79194e8i | 0.719927 | − | 0.719927i | ||||
\(408\) | 1.55604e9 | − | 1.91618e9i | 1.13425 | − | 1.39678i | ||||
\(409\) | −9.82334e8 | − | 9.82334e8i | −0.709949 | − | 0.709949i | 0.256575 | − | 0.966524i | \(-0.417406\pi\) |
−0.966524 | + | 0.256575i | \(0.917406\pi\) | |||||||
\(410\) | 5.41988e6 | + | 1.57261e8i | 0.00388370 | + | 0.112688i | ||||
\(411\) | 5.31736e8 | − | 1.28372e9i | 0.377790 | − | 0.912065i | ||||
\(412\) | 1.68489e8 | + | 2.44150e9i | 0.118695 | + | 1.71996i | ||||
\(413\) | 1.96176e9 | − | 8.12589e8i | 1.37032 | − | 0.567604i | ||||
\(414\) | −8.35863e8 | + | 2.23251e9i | −0.578940 | + | 1.54630i | ||||
\(415\) | 3.40681e7 | 0.0233981 | ||||||||
\(416\) | 2.21003e9 | − | 3.84495e8i | 1.50512 | − | 0.261857i | ||||
\(417\) | 3.14708e9 | 2.12536 | ||||||||
\(418\) | −3.36488e8 | + | 8.98729e8i | −0.225348 | + | 0.601883i | ||||
\(419\) | −1.78398e8 | + | 7.38949e7i | −0.118479 | + | 0.0490756i | −0.441135 | − | 0.897441i | \(-0.645424\pi\) |
0.322656 | + | 0.946516i | \(0.395424\pi\) | |||||||
\(420\) | −2.72399e8 | + | 1.87983e7i | −0.179404 | + | 0.0123807i | ||||
\(421\) | 4.80189e8 | − | 1.15928e9i | 0.313635 | − | 0.757183i | −0.685929 | − | 0.727669i | \(-0.740604\pi\) |
0.999564 | − | 0.0295145i | \(-0.00939611\pi\) | |||||||
\(422\) | 8.31054e7 | + | 2.41136e9i | 0.0538314 | + | 1.56195i | ||||
\(423\) | 9.06270e8 | + | 9.06270e8i | 0.582192 | + | 0.582192i | ||||
\(424\) | −2.37892e8 | − | 2.29358e9i | −0.151565 | − | 1.46128i | ||||
\(425\) | −1.33230e9 | + | 1.33230e9i | −0.841862 | + | 0.841862i | ||||
\(426\) | 2.24877e9 | + | 2.09893e9i | 1.40933 | + | 1.31542i | ||||
\(427\) | −1.07699e9 | − | 4.46105e8i | −0.669446 | − | 0.277294i | ||||
\(428\) | 1.00396e9 | + | 2.01825e9i | 0.618963 | + | 1.24429i | ||||
\(429\) | −1.61635e9 | − | 3.90221e9i | −0.988405 | − | 2.38622i | ||||
\(430\) | 6.13319e7 | − | 2.79168e7i | 0.0372004 | − | 0.0169327i | ||||
\(431\) | − | 3.72987e8i | − | 0.224400i | −0.993686 | − | 0.112200i | \(-0.964210\pi\) | ||
0.993686 | − | 0.112200i | \(-0.0357897\pi\) | |||||||
\(432\) | −5.65288e8 | − | 1.47294e8i | −0.337347 | − | 0.0879007i | ||||
\(433\) | 1.88188e9i | 1.11400i | 0.830514 | + | 0.556998i | \(0.188047\pi\) | ||||
−0.830514 | + | 0.556998i | \(0.811953\pi\) | |||||||
\(434\) | 5.17496e8 | + | 1.13692e9i | 0.303874 | + | 0.667597i | ||||
\(435\) | 6.72413e7 | + | 1.62335e8i | 0.0391673 | + | 0.0945582i | ||||
\(436\) | 1.19456e8 | − | 3.55938e8i | 0.0690251 | − | 0.205671i | ||||
\(437\) | 1.22586e9 | + | 5.07768e8i | 0.702678 | + | 0.291059i | ||||
\(438\) | −2.88033e9 | + | 3.08596e9i | −1.63788 | + | 1.75481i | ||||
\(439\) | −1.34569e9 | + | 1.34569e9i | −0.759136 | + | 0.759136i | −0.976165 | − | 0.217029i | \(-0.930363\pi\) |
0.217029 | + | 0.976165i | \(0.430363\pi\) | |||||||
\(440\) | 2.04776e8 | + | 6.09624e7i | 0.114603 | + | 0.0341175i | ||||
\(441\) | 4.65213e8 | + | 4.65213e8i | 0.258296 | + | 0.258296i | ||||
\(442\) | 3.33735e9 | − | 1.15019e8i | 1.83833 | − | 0.0633567i | ||||
\(443\) | −3.53134e8 | + | 8.52540e8i | −0.192986 | + | 0.465909i | −0.990521 | − | 0.137364i | \(-0.956137\pi\) |
0.797535 | + | 0.603273i | \(0.206137\pi\) | |||||||
\(444\) | 1.62906e9 | − | 1.87057e9i | 0.883276 | − | 1.01422i | ||||
\(445\) | −2.23961e8 | + | 9.27679e7i | −0.120480 | + | 0.0499042i | ||||
\(446\) | −8.83705e8 | − | 3.30863e8i | −0.471667 | − | 0.176594i | ||||
\(447\) | 1.88408e9 | 0.997754 | ||||||||
\(448\) | 2.12062e9 | − | 4.44690e8i | 1.11427 | − | 0.233660i | ||||
\(449\) | −2.44887e8 | −0.127675 | −0.0638373 | − | 0.997960i | \(-0.520334\pi\) | ||||
−0.0638373 | + | 0.997960i | \(0.520334\pi\) | |||||||
\(450\) | 2.20769e9 | + | 8.26570e8i | 1.14208 | + | 0.427598i | ||||
\(451\) | −2.17214e9 | + | 8.99729e8i | −1.11499 | + | 0.461842i | ||||
\(452\) | −1.49954e9 | + | 1.72185e9i | −0.763788 | + | 0.877021i | ||||
\(453\) | −5.13764e8 | + | 1.24034e9i | −0.259669 | + | 0.626896i | ||||
\(454\) | 1.17459e9 | − | 4.04813e7i | 0.589103 | − | 0.0203030i | ||||
\(455\) | −2.61195e8 | − | 2.61195e8i | −0.129995 | − | 0.129995i | ||||
\(456\) | −4.90470e8 | + | 1.64752e9i | −0.242234 | + | 0.813680i | ||||
\(457\) | 2.23799e9 | − | 2.23799e9i | 1.09686 | − | 1.09686i | 0.102087 | − | 0.994775i | \(-0.467448\pi\) |
0.994775 | − | 0.102087i | \(-0.0325521\pi\) | |||||||
\(458\) | −4.87921e8 | + | 5.22753e8i | −0.237313 | + | 0.254254i | ||||
\(459\) | −8.03407e8 | − | 3.32782e8i | −0.387785 | − | 0.160626i | ||||
\(460\) | 9.39915e7 | − | 2.80062e8i | 0.0450232 | − | 0.134153i | ||||
\(461\) | −8.06327e8 | − | 1.94665e9i | −0.383317 | − | 0.925409i | −0.991320 | − | 0.131474i | \(-0.958029\pi\) |
0.608003 | − | 0.793935i | \(-0.291971\pi\) | |||||||
\(462\) | −1.69013e9 | − | 3.71315e9i | −0.797397 | − | 1.75184i | ||||
\(463\) | 5.07475e8i | 0.237619i | 0.992917 | + | 0.118810i | \(0.0379078\pi\) | ||||
−0.992917 | + | 0.118810i | \(0.962092\pi\) | |||||||
\(464\) | −7.05485e8 | − | 1.20269e9i | −0.327850 | − | 0.558908i | ||||
\(465\) | 2.20639e8i | 0.101765i | ||||||||
\(466\) | −2.25283e9 | + | 1.02544e9i | −1.03128 | + | 0.469416i | ||||
\(467\) | −5.58457e8 | − | 1.34824e9i | −0.253735 | − | 0.612571i | 0.744764 | − | 0.667327i | \(-0.232562\pi\) |
−0.998500 | + | 0.0547562i | \(0.982562\pi\) | |||||||
\(468\) | −1.86080e9 | − | 3.74073e9i | −0.839150 | − | 1.68693i | ||||
\(469\) | −1.23936e8 | − | 5.13359e7i | −0.0554743 | − | 0.0229782i | ||||
\(470\) | −1.16109e8 | − | 1.08372e8i | −0.0515849 | − | 0.0481477i | ||||
\(471\) | 1.05742e9 | − | 1.05742e9i | 0.466310 | − | 0.466310i | ||||
\(472\) | −2.96036e9 | + | 3.07052e8i | −1.29583 | + | 0.134405i | ||||
\(473\) | 7.11953e8 | + | 7.11953e8i | 0.309341 | + | 0.309341i | ||||
\(474\) | 7.74882e7 | + | 2.24837e9i | 0.0334204 | + | 0.969714i | ||||
\(475\) | 5.02123e8 | − | 1.21223e9i | 0.214972 | − | 0.518989i | ||||
\(476\) | 3.21782e9 | − | 2.22063e8i | 1.36753 | − | 0.0943738i | ||||
\(477\) | −3.96777e9 | + | 1.64350e9i | −1.67391 | + | 0.693356i | ||||
\(478\) | 1.59356e8 | − | 4.25626e8i | 0.0667378 | − | 0.178250i | ||||
\(479\) | 2.56546e7 | 0.0106657 | 0.00533286 | − | 0.999986i | \(-0.498302\pi\) | ||||
0.00533286 | + | 0.999986i | \(0.498302\pi\) | |||||||
\(480\) | 3.73452e8 | + | 8.36862e7i | 0.154131 | + | 0.0345390i | ||||
\(481\) | 3.35569e9 | 1.37491 | ||||||||
\(482\) | 1.07024e9 | − | 2.85852e9i | 0.435330 | − | 1.16273i | ||||
\(483\) | −5.21141e9 | + | 2.15864e9i | −2.10446 | + | 0.871695i | ||||
\(484\) | 4.80551e7 | + | 6.96347e8i | 0.0192655 | + | 0.279169i | ||||
\(485\) | 1.73100e8 | − | 4.17901e8i | 0.0688971 | − | 0.166332i | ||||
\(486\) | −1.23171e8 | − | 3.57388e9i | −0.0486722 | − | 1.41225i | ||||
\(487\) | −1.03856e9 | − | 1.03856e9i | −0.407456 | − | 0.407456i | 0.473395 | − | 0.880850i | \(-0.343028\pi\) |
−0.880850 | + | 0.473395i | \(0.843028\pi\) | |||||||
\(488\) | 1.26840e9 | + | 1.03001e9i | 0.494068 | + | 0.401209i | ||||
\(489\) | 3.05880e9 | − | 3.05880e9i | 1.18296 | − | 1.18296i | ||||
\(490\) | −5.96018e7 | − | 5.56304e7i | −0.0228862 | − | 0.0213612i | ||||
\(491\) | −2.84918e9 | − | 1.18017e9i | −1.08626 | − | 0.449945i | −0.233561 | − | 0.972342i | \(-0.575038\pi\) |
−0.852702 | + | 0.522397i | \(0.825038\pi\) | |||||||
\(492\) | −3.77064e9 | + | 1.87568e9i | −1.42737 | + | 0.710037i | ||||
\(493\) | −7.94315e8 | − | 1.91765e9i | −0.298558 | − | 0.720782i | ||||
\(494\) | −2.11654e9 | + | 9.63398e8i | −0.789918 | + | 0.359552i | ||||
\(495\) | − | 3.97936e8i | − | 0.147467i | ||||||
\(496\) | −2.40510e8 | − | 1.73427e9i | −0.0885008 | − | 0.638161i | ||||
\(497\) | 4.01958e9i | 1.46870i | ||||||||
\(498\) | 3.77735e8 | + | 8.29867e8i | 0.137052 | + | 0.301097i | ||||
\(499\) | −2.96905e8 | − | 7.16793e8i | −0.106971 | − | 0.258251i | 0.861326 | − | 0.508053i | \(-0.169635\pi\) |
−0.968297 | + | 0.249802i | \(0.919635\pi\) | |||||||
\(500\) | −5.57025e8 | − | 1.86943e8i | −0.199287 | − | 0.0668828i | ||||
\(501\) | 3.58175e9 | + | 1.48361e9i | 1.27252 | + | 0.527094i | ||||
\(502\) | −8.77625e8 | + | 9.40278e8i | −0.309632 | + | 0.331736i | ||||
\(503\) | −6.66288e8 | + | 6.66288e8i | −0.233439 | + | 0.233439i | −0.814127 | − | 0.580687i | \(-0.802784\pi\) |
0.580687 | + | 0.814127i | \(0.302784\pi\) | |||||||
\(504\) | −1.92074e9 | − | 3.54913e9i | −0.668285 | − | 1.23485i | ||||
\(505\) | 1.73007e8 | + | 1.73007e8i | 0.0597783 | + | 0.0597783i | ||||
\(506\) | 4.41128e9 | − | 1.52031e8i | 1.51369 | − | 0.0521682i | ||||
\(507\) | 2.23864e9 | − | 5.40455e9i | 0.762880 | − | 1.84175i | ||||
\(508\) | 1.13805e9 | + | 9.91112e8i | 0.385156 | + | 0.335428i | ||||
\(509\) | −2.94186e9 | + | 1.21856e9i | −0.988802 | + | 0.409575i | −0.817679 | − | 0.575674i | \(-0.804740\pi\) |
−0.171123 | + | 0.985250i | \(0.554740\pi\) | |||||||
\(510\) | 5.33548e8 | + | 1.99763e8i | 0.178106 | + | 0.0666836i | ||||
\(511\) | −5.51600e9 | −1.82874 | ||||||||
\(512\) | −3.02663e9 | − | 2.50705e8i | −0.996587 | − | 0.0825502i | ||||
\(513\) | 6.05583e8 | 0.198044 | ||||||||
\(514\) | −1.08238e9 | − | 4.05249e8i | −0.351569 | − | 0.131629i | ||||
\(515\) | −5.21853e8 | + | 2.16159e8i | −0.168354 | + | 0.0697344i | ||||
\(516\) | 1.36005e9 | + | 1.18446e9i | 0.435795 | + | 0.379529i | ||||
\(517\) | 9.08143e8 | − | 2.19245e9i | 0.289026 | − | 0.697771i | ||||
\(518\) | 3.23935e9 | − | 1.11641e8i | 1.02401 | − | 0.0352916i | ||||
\(519\) | 4.26436e9 | + | 4.26436e9i | 1.33896 | + | 1.33896i | ||||
\(520\) | 2.46425e8 | + | 4.55343e8i | 0.0768551 | + | 0.142012i | ||||
\(521\) | −8.33749e8 | + | 8.33749e8i | −0.258287 | + | 0.258287i | −0.824357 | − | 0.566070i | \(-0.808463\pi\) |
0.566070 | + | 0.824357i | \(0.308463\pi\) | |||||||
\(522\) | −1.77197e9 | + | 1.89847e9i | −0.545268 | + | 0.584194i | ||||
\(523\) | 3.16637e9 | + | 1.31156e9i | 0.967846 | + | 0.400895i | 0.809910 | − | 0.586554i | \(-0.199516\pi\) |
0.157936 | + | 0.987449i | \(0.449516\pi\) | |||||||
\(524\) | 5.91532e9 | + | 1.98524e9i | 1.79605 | + | 0.602773i | ||||
\(525\) | 2.13464e9 | + | 5.15347e9i | 0.643823 | + | 1.55433i | ||||
\(526\) | 4.26087e8 | + | 9.36094e8i | 0.127658 | + | 0.280459i | ||||
\(527\) | − | 2.60639e9i | − | 0.775714i | ||||||
\(528\) | 7.85502e8 | + | 5.66409e9i | 0.232235 | + | 1.67460i | ||||
\(529\) | − | 2.69803e9i | − | 0.792413i | ||||||
\(530\) | 4.84388e8 | − | 2.20482e8i | 0.141328 | − | 0.0643290i | ||||
\(531\) | 2.12130e9 | + | 5.12127e9i | 0.614853 | + | 1.48439i | ||||
\(532\) | −2.01111e9 | + | 1.00041e9i | −0.579088 | + | 0.288064i | ||||
\(533\) | −5.26363e9 | − | 2.18027e9i | −1.50571 | − | 0.623684i | ||||
\(534\) | −4.74294e9 | − | 4.42691e9i | −1.34789 | − | 1.25807i | ||||
\(535\) | −3.67887e8 | + | 3.67887e8i | −0.103867 | + | 0.103867i | ||||
\(536\) | 1.45962e8 | + | 1.18529e8i | 0.0409414 | + | 0.0332466i | ||||
\(537\) | 6.10525e8 | + | 6.10525e8i | 0.170135 | + | 0.170135i | ||||
\(538\) | 1.14056e8 | + | 3.30942e9i | 0.0315777 | + | 0.916249i | ||||
\(539\) | 4.66175e8 | − | 1.12545e9i | 0.128230 | − | 0.309573i | ||||
\(540\) | −9.28239e6 | − | 1.34507e8i | −0.00253677 | − | 0.0367593i | ||||
\(541\) | 5.09983e9 | − | 2.11242e9i | 1.38473 | − | 0.573574i | 0.438988 | − | 0.898493i | \(-0.355337\pi\) |
0.945742 | + | 0.324920i | \(0.105337\pi\) | |||||||
\(542\) | −6.80966e8 | + | 1.81880e9i | −0.183708 | + | 0.490667i | ||||
\(543\) | 7.94512e9 | 2.12962 | ||||||||
\(544\) | −4.41156e9 | − | 9.88578e8i | −1.17489 | − | 0.263278i | ||||
\(545\) | 8.66552e7 | 0.0229301 | ||||||||
\(546\) | 3.46643e9 | − | 9.25850e9i | 0.911397 | − | 2.43426i | ||||
\(547\) | −2.28637e9 | + | 9.47047e8i | −0.597299 | + | 0.247409i | −0.660787 | − | 0.750573i | \(-0.729777\pi\) |
0.0634885 | + | 0.997983i | \(0.479777\pi\) | |||||||
\(548\) | −2.53886e9 | + | 1.75208e8i | −0.659033 | + | 0.0454801i | ||||
\(549\) | 1.16458e9 | − | 2.81154e9i | 0.300376 | − | 0.725172i | ||||
\(550\) | −1.50341e8 | − | 4.36224e9i | −0.0385308 | − | 1.11799i | ||||
\(551\) | 1.02210e9 | + | 1.02210e9i | 0.260292 | + | 0.260292i | ||||
\(552\) | 7.86418e9 | − | 8.15682e8i | 1.99006 | − | 0.206412i | ||||
\(553\) | −2.07868e9 | + | 2.07868e9i | −0.522697 | + | 0.522697i | ||||
\(554\) | −3.32283e9 | − | 3.10143e9i | −0.830279 | − | 0.774956i | ||||
\(555\) | 5.28929e8 | + | 2.19090e8i | 0.131332 | + | 0.0543997i | ||||
\(556\) | −2.56717e9 | − | 5.16073e9i | −0.633421 | − | 1.27335i | ||||
\(557\) | −9.69891e7 | − | 2.34152e8i | −0.0237810 | − | 0.0574124i | 0.911543 | − | 0.411205i | \(-0.134892\pi\) |
−0.935324 | + | 0.353792i | \(0.884892\pi\) | |||||||
\(558\) | −2.96797e9 | + | 1.35095e9i | −0.723169 | + | 0.329169i | ||||
\(559\) | 2.43986e9i | 0.590776i | ||||||||
\(560\) | 2.53030e8 | + | 4.31357e8i | 0.0608855 | + | 0.103796i | ||||
\(561\) | 8.51241e9i | 2.03555i | ||||||||
\(562\) | 3.66413e8 | + | 8.04992e8i | 0.0870750 | + | 0.191300i | ||||
\(563\) | 5.49072e8 | + | 1.32558e9i | 0.129673 | + | 0.313059i | 0.975359 | − | 0.220622i | \(-0.0708086\pi\) |
−0.845686 | + | 0.533680i | \(0.820809\pi\) | |||||||
\(564\) | 1.35247e9 | − | 4.02989e9i | 0.317432 | − | 0.945836i | ||||
\(565\) | −4.86876e8 | − | 2.01671e8i | −0.113566 | − | 0.0470406i | ||||
\(566\) | −9.96575e8 | + | 1.06772e9i | −0.231022 | + | 0.247514i | ||||
\(567\) | 2.48901e9 | − | 2.48901e9i | 0.573438 | − | 0.573438i | ||||
\(568\) | 1.60753e9 | − | 5.39980e9i | 0.368079 | − | 1.23640i | ||||
\(569\) | −2.01268e9 | − | 2.01268e9i | −0.458017 | − | 0.458017i | 0.439987 | − | 0.898004i | \(-0.354983\pi\) |
−0.898004 | + | 0.439987i | \(0.854983\pi\) | |||||||
\(570\) | −3.96511e8 | + | 1.36654e7i | −0.0896796 | + | 0.00309073i | ||||
\(571\) | −2.32202e9 | + | 5.60585e9i | −0.521962 | + | 1.26013i | 0.414720 | + | 0.909949i | \(0.363879\pi\) |
−0.936683 | + | 0.350179i | \(0.886121\pi\) | |||||||
\(572\) | −5.08052e9 | + | 5.83372e9i | −1.13507 | + | 1.30334i | ||||
\(573\) | −9.82382e9 | + | 4.06916e9i | −2.18142 | + | 0.903573i | ||||
\(574\) | −5.15368e9 | − | 1.92956e9i | −1.13743 | − | 0.425860i | ||||
\(575\) | −6.03500e9 | −1.32385 | ||||||||
\(576\) | 1.16088e9 | + | 5.53598e9i | 0.253111 | + | 1.20702i | ||||
\(577\) | −8.58343e9 | −1.86014 | −0.930070 | − | 0.367382i | \(-0.880254\pi\) | ||||
−0.930070 | + | 0.367382i | \(0.880254\pi\) | |||||||
\(578\) | −1.95504e9 | − | 7.31977e8i | −0.421123 | − | 0.157670i | ||||
\(579\) | 8.45235e9 | − | 3.50108e9i | 1.80968 | − | 0.749595i | ||||
\(580\) | 2.11353e8 | − | 2.42687e8i | 0.0449791 | − | 0.0516473i | ||||
\(581\) | −4.55945e8 | + | 1.10075e9i | −0.0964486 | + | 0.232847i | ||||
\(582\) | 1.20989e10 | − | 4.16979e8i | 2.54400 | − | 0.0876767i | ||||
\(583\) | 5.62287e9 | + | 5.62287e9i | 1.17522 | + | 1.17522i | ||||
\(584\) | 7.41006e9 | + | 2.20599e9i | 1.53949 | + | 0.458310i | ||||
\(585\) | 6.81862e8 | − | 6.81862e8i | 0.140816 | − | 0.140816i | ||||
\(586\) | −3.33661e9 | + | 3.57481e9i | −0.684958 | + | 0.733856i | ||||
\(587\) | 5.98229e9 | + | 2.47795e9i | 1.22077 | + | 0.505660i | 0.897655 | − | 0.440699i | \(-0.145269\pi\) |
0.323117 | + | 0.946359i | \(0.395269\pi\) | |||||||
\(588\) | 6.94260e8 | − | 2.06865e9i | 0.140832 | − | 0.419630i | ||||
\(589\) | 6.94595e8 | + | 1.67690e9i | 0.140065 | + | 0.338146i | ||||
\(590\) | −2.84580e8 | − | 6.25209e8i | −0.0570456 | − | 0.125327i | ||||
\(591\) | − | 3.27670e9i | − | 0.652951i | ||||||
\(592\) | −4.39631e9 | − | 1.14552e9i | −0.870889 | − | 0.226923i | ||||
\(593\) | 1.14477e8i | 0.0225438i | 0.999936 | + | 0.0112719i | \(0.00358803\pi\) | ||||
−0.999936 | + | 0.0112719i | \(0.996412\pi\) | |||||||
\(594\) | 1.83351e9 | − | 8.34569e8i | 0.358947 | − | 0.163384i | ||||
\(595\) | 2.84890e8 | + | 6.87785e8i | 0.0554456 | + | 0.133858i | ||||
\(596\) | −1.53690e9 | − | 3.08960e9i | −0.297361 | − | 0.597779i | ||||
\(597\) | 1.04255e10 | + | 4.31838e9i | 2.00533 | + | 0.830636i | ||||
\(598\) | 7.81922e9 | + | 7.29821e9i | 1.49523 | + | 1.39560i | ||||
\(599\) | 4.03680e9 | − | 4.03680e9i | 0.767439 | − | 0.767439i | −0.210216 | − | 0.977655i | \(-0.567417\pi\) |
0.977655 | + | 0.210216i | \(0.0674168\pi\) | |||||||
\(600\) | −8.06613e8 | − | 7.77675e9i | −0.152453 | − | 1.46983i | ||||
\(601\) | −5.28884e9 | − | 5.28884e9i | −0.993802 | − | 0.993802i | 0.00617937 | − | 0.999981i | \(-0.498033\pi\) |
−0.999981 | + | 0.00617937i | \(0.998033\pi\) | |||||||
\(602\) | 8.11723e7 | + | 2.35527e9i | 0.0151642 | + | 0.439999i | ||||
\(603\) | 1.34015e8 | − | 3.23540e8i | 0.0248910 | − | 0.0600922i | ||||
\(604\) | 2.45305e9 | − | 1.69286e8i | 0.452978 | − | 0.0312602i | ||||
\(605\) | −1.48839e8 | + | 6.16511e7i | −0.0273258 | + | 0.0113187i | ||||
\(606\) | −2.29604e9 | + | 6.13252e9i | −0.419108 | + | 1.11940i | ||||
\(607\) | −8.74563e9 | −1.58720 | −0.793598 | − | 0.608443i | \(-0.791795\pi\) | ||||
−0.793598 | + | 0.608443i | \(0.791795\pi\) | |||||||
\(608\) | 3.10177e9 | − | 5.39635e8i | 0.559689 | − | 0.0973728i | ||||
\(609\) | −6.14498e9 | −1.10245 | ||||||||
\(610\) | −1.32231e8 | + | 3.53177e8i | −0.0235873 | + | 0.0629996i | ||||
\(611\) | 5.31286e9 | − | 2.20066e9i | 0.942288 | − | 0.390309i | ||||
\(612\) | 5.79705e8 | + | 8.40027e9i | 0.102230 | + | 1.48137i | ||||
\(613\) | 1.30271e9 | − | 3.14502e9i | 0.228421 | − | 0.551456i | −0.767565 | − | 0.640971i | \(-0.778532\pi\) |
0.995985 | + | 0.0895150i | \(0.0285317\pi\) | |||||||
\(614\) | −1.04103e8 | − | 3.02060e9i | −0.0181498 | − | 0.526629i | ||||
\(615\) | −6.87314e8 | − | 6.87314e8i | −0.119149 | − | 0.119149i | ||||
\(616\) | −4.71030e9 | + | 5.80049e9i | −0.811924 | + | 0.999843i | ||||
\(617\) | 4.47770e9 | − | 4.47770e9i | 0.767463 | − | 0.767463i | −0.210196 | − | 0.977659i | \(-0.567410\pi\) |
0.977659 | + | 0.210196i | \(0.0674104\pi\) | |||||||
\(618\) | −1.10515e10 | − | 1.03151e10i | −1.88349 | − | 1.75799i | ||||
\(619\) | 3.80014e9 | + | 1.57407e9i | 0.643995 | + | 0.266751i | 0.680686 | − | 0.732575i | \(-0.261682\pi\) |
−0.0366914 | + | 0.999327i | \(0.511682\pi\) | |||||||
\(620\) | 3.61813e8 | − | 1.79982e8i | 0.0609696 | − | 0.0303289i | ||||
\(621\) | −1.06591e9 | − | 2.57333e9i | −0.178607 | − | 0.431197i | ||||
\(622\) | 5.30559e9 | − | 2.41498e9i | 0.884031 | − | 0.402389i | ||||
\(623\) | − | 8.47778e9i | − | 1.40467i | ||||||
\(624\) | −8.35944e9 | + | 1.10513e10i | −1.37731 | + | 1.82083i | ||||
\(625\) | 5.89972e9i | 0.966610i | ||||||||
\(626\) | −4.63757e8 | − | 1.01885e9i | −0.0755581 | − | 0.165998i | ||||
\(627\) | −2.26854e9 | − | 5.47673e9i | −0.367544 | − | 0.887329i | ||||
\(628\) | −2.59658e9 | − | 8.71437e8i | −0.418353 | − | 0.140403i | ||||
\(629\) | −6.24819e9 | − | 2.58809e9i | −1.00110 | − | 0.414669i | ||||
\(630\) | 6.35537e8 | − | 6.80907e8i | 0.101263 | − | 0.108492i | ||||
\(631\) | 5.30759e9 | − | 5.30759e9i | 0.840997 | − | 0.840997i | −0.147992 | − | 0.988989i | \(-0.547281\pi\) |
0.988989 | + | 0.147992i | \(0.0472810\pi\) | |||||||
\(632\) | 3.62377e9 | − | 1.96113e9i | 0.571019 | − | 0.309027i | ||||
\(633\) | −1.05389e10 | − | 1.05389e10i | −1.65151 | − | 1.65151i | ||||
\(634\) | −3.44730e9 | + | 1.18808e8i | −0.537238 | + | 0.0185154i | ||||
\(635\) | −1.33293e8 | + | 3.21798e8i | −0.0206585 | + | 0.0498741i | ||||
\(636\) | 1.07414e10 | + | 9.35461e9i | 1.65563 | + | 1.44187i | ||||
\(637\) | 2.72723e9 | − | 1.12966e9i | 0.418056 | − | 0.173164i | ||||
\(638\) | 4.50315e9 | + | 1.68600e9i | 0.686506 | + | 0.257031i | ||||
\(639\) | −1.04933e10 | −1.59096 | ||||||||
\(640\) | −1.67404e8 | − | 6.80669e8i | −0.0252426 | − | 0.102637i | ||||
\(641\) | −3.60633e9 | −0.540832 | −0.270416 | − | 0.962744i | \(-0.587161\pi\) | ||||
−0.270416 | + | 0.962744i | \(0.587161\pi\) | |||||||
\(642\) | −1.30404e10 | − | 4.88238e9i | −1.94499 | − | 0.728214i | ||||
\(643\) | −5.45540e9 | + | 2.25970e9i | −0.809260 | + | 0.335206i | −0.748659 | − | 0.662956i | \(-0.769302\pi\) |
−0.0606011 | + | 0.998162i | \(0.519302\pi\) | |||||||
\(644\) | 7.79093e9 | + | 6.78504e9i | 1.14945 | + | 1.00104i | ||||
\(645\) | −1.59296e8 | + | 3.84574e8i | −0.0233746 | + | 0.0564314i | ||||
\(646\) | 4.68395e9 | − | 1.61429e8i | 0.683595 | − | 0.0235595i | ||||
\(647\) | −1.82400e9 | − | 1.82400e9i | −0.264764 | − | 0.264764i | 0.562222 | − | 0.826986i | \(-0.309947\pi\) |
−0.826986 | + | 0.562222i | \(0.809947\pi\) | |||||||
\(648\) | −4.33910e9 | + | 2.34826e9i | −0.626452 | + | 0.339027i | ||||
\(649\) | 7.25754e9 | − | 7.25754e9i | 1.04216 | − | 1.04216i | ||||
\(650\) | 7.21707e9 | − | 7.73228e9i | 1.03078 | − | 1.10436i | ||||
\(651\) | −7.12888e9 | − | 2.95288e9i | −1.01272 | − | 0.419481i | ||||
\(652\) | −7.51112e9 | − | 2.52081e9i | −1.06130 | − | 0.356183i | ||||
\(653\) | 4.38425e9 | + | 1.05845e10i | 0.616168 | + | 1.48756i | 0.856121 | + | 0.516776i | \(0.172868\pi\) |
−0.239953 | + | 0.970785i | \(0.577132\pi\) | |||||||
\(654\) | 9.60802e8 | + | 2.11084e9i | 0.134311 | + | 0.295075i | ||||
\(655\) | 1.44012e9i | 0.200241i | ||||||||
\(656\) | 6.15165e9 | + | 4.65322e9i | 0.850801 | + | 0.643561i | ||||
\(657\) | − | 1.43998e10i | − | 1.98096i | ||||||
\(658\) | 5.05544e9 | − | 2.30111e9i | 0.691781 | − | 0.314882i | ||||
\(659\) | −2.80867e9 | − | 6.78073e9i | −0.382298 | − | 0.922949i | −0.991521 | − | 0.129950i | \(-0.958518\pi\) |
0.609223 | − | 0.792999i | \(-0.291482\pi\) | |||||||
\(660\) | −1.18168e9 | + | 5.87817e8i | −0.159991 | + | 0.0795863i | ||||
\(661\) | 2.85761e9 | + | 1.18366e9i | 0.384856 | + | 0.159413i | 0.566719 | − | 0.823911i | \(-0.308213\pi\) |
−0.181863 | + | 0.983324i | \(0.558213\pi\) | |||||||
\(662\) | 2.04822e9 | + | 1.91175e9i | 0.274394 | + | 0.256110i | ||||
\(663\) | −1.45860e10 | + | 1.45860e10i | −1.94374 | + | 1.94374i | ||||
\(664\) | 1.05272e9 | − | 1.29638e9i | 0.139549 | − | 0.171847i | ||||
\(665\) | −3.66586e8 | − | 3.66586e8i | −0.0483392 | − | 0.0483392i | ||||
\(666\) | 2.91445e8 | + | 8.45647e9i | 0.0382294 | + | 1.10925i | ||||
\(667\) | 2.54421e9 | − | 6.14227e9i | 0.331981 | − | 0.801472i | ||||
\(668\) | −4.88852e8 | − | 7.08375e9i | −0.0634541 | − | 0.919487i | ||||
\(669\) | 5.38517e9 | − | 2.23061e9i | 0.695357 | − | 0.288026i | ||||
\(670\) | −1.52166e7 | + | 4.06421e7i | −0.00195459 | + | 0.00522053i | ||||
\(671\) | −5.63470e9 | −0.720016 | ||||||||
\(672\) | −7.70194e9 | + | 1.09463e10i | −0.979057 | + | 1.39147i | ||||
\(673\) | 1.12084e10 | 1.41740 | 0.708700 | − | 0.705510i | \(-0.249282\pi\) | ||||
0.708700 | + | 0.705510i | \(0.249282\pi\) | |||||||
\(674\) | −3.61400e9 | + | 9.65267e9i | −0.454652 | + | 1.21433i | ||||
\(675\) | −2.54472e9 | + | 1.05406e9i | −0.318476 | + | 0.131917i | ||||
\(676\) | −1.06888e10 | + | 7.37634e8i | −1.33080 | + | 0.0918391i | ||||
\(677\) | 2.76468e7 | − | 6.67452e7i | 0.00342440 | − | 0.00826723i | −0.922158 | − | 0.386813i | \(-0.873576\pi\) |
0.925582 | + | 0.378546i | \(0.123576\pi\) | |||||||
\(678\) | −4.85803e8 | − | 1.40959e10i | −0.0598626 | − | 1.73695i | ||||
\(679\) | 1.11858e10 | + | 1.11858e10i | 1.37127 | + | 1.37127i | ||||
\(680\) | −1.07651e8 | − | 1.03789e9i | −0.0131292 | − | 0.126581i | ||||
\(681\) | −5.13358e9 | + | 5.13358e9i | −0.622882 | + | 0.622882i | ||||
\(682\) | 4.41399e9 | + | 4.11988e9i | 0.532827 | + | 0.497324i | ||||
\(683\) | 7.47948e9 | + | 3.09810e9i | 0.898253 | + | 0.372069i | 0.783548 | − | 0.621331i | \(-0.213408\pi\) |
0.114705 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(684\) | −2.61162e9 | − | 5.25009e9i | −0.312043 | − | 0.627293i | ||||
\(685\) | −2.24778e8 | − | 5.42663e8i | −0.0267200 | − | 0.0645079i | ||||
\(686\) | −6.16647e9 | + | 2.80683e9i | −0.729294 | + | 0.331957i | ||||
\(687\) | − | 4.41718e9i | − | 0.519752i | ||||||
\(688\) | 8.32888e8 | − | 3.19647e9i | 0.0975050 | − | 0.374207i | ||||
\(689\) | 1.92695e10i | 2.24442i | ||||||||
\(690\) | 7.55984e8 | + | 1.66086e9i | 0.0876074 | + | 0.192469i | ||||
\(691\) | 5.37320e8 | + | 1.29721e9i | 0.0619526 | + | 0.149567i | 0.951824 | − | 0.306644i | \(-0.0992062\pi\) |
−0.889872 | + | 0.456211i | \(0.849206\pi\) | |||||||
\(692\) | 3.51432e9 | − | 1.04714e10i | 0.403153 | − | 1.20126i | ||||
\(693\) | 1.28574e10 | + | 5.32571e9i | 1.46753 | + | 0.607870i | ||||
\(694\) | −3.09472e9 | + | 3.31565e9i | −0.351450 | + | 0.376540i | ||||
\(695\) | 9.40699e8 | − | 9.40699e8i | 0.106293 | − | 0.106293i | ||||
\(696\) | 8.25502e9 | + | 2.45754e9i | 0.928081 | + | 0.276292i | ||||
\(697\) | 8.11918e9 | + | 8.11918e9i | 0.908233 | + | 0.908233i | ||||
\(698\) | 1.08015e10 | − | 3.72263e8i | 1.20223 | − | 0.0414339i | ||||
\(699\) | 5.85122e9 | − | 1.41261e10i | 0.648002 | − | 1.56441i | ||||
\(700\) | 6.70960e9 | − | 7.70431e9i | 0.739356 | − | 0.848967i | ||||
\(701\) | −1.60182e10 | + | 6.63495e9i | −1.75631 | + | 0.727485i | −0.759250 | + | 0.650799i | \(0.774434\pi\) |
−0.997055 | + | 0.0766862i | \(0.975566\pi\) | |||||||
\(702\) | 4.57174e9 | + | 1.71168e9i | 0.498772 | + | 0.186742i | ||||
\(703\) | 4.70969e9 | 0.511268 | ||||||||
\(704\) | 8.64747e9 | − | 5.90847e9i | 0.934081 | − | 0.638220i | ||||
\(705\) | 9.81099e8 | 0.105451 | ||||||||
\(706\) | −4.86327e8 | − | 1.82083e8i | −0.0520130 | − | 0.0194739i | ||||
\(707\) | −7.90529e9 | + | 3.27448e9i | −0.841298 | + | 0.348477i | ||||
\(708\) | 1.20742e10 | − | 1.38642e10i | 1.27862 | − | 1.46818i | ||||
\(709\) | −4.09324e9 | + | 9.88196e9i | −0.431326 | + | 1.04131i | 0.547535 | + | 0.836783i | \(0.315566\pi\) |
−0.978860 | + | 0.204530i | \(0.934434\pi\) | |||||||
\(710\) | 1.29958e9 | − | 4.47890e7i | 0.136270 | − | 0.00469642i | ||||
\(711\) | −5.42649e9 | − | 5.42649e9i | −0.566207 | − | 0.566207i | ||||
\(712\) | −3.39049e9 | + | 1.13888e10i | −0.352032 | + | 1.18250i | ||||
\(713\) | 5.90315e9 | − | 5.90315e9i | 0.609917 | − | 0.609917i | ||||
\(714\) | −1.35950e10 | + | 1.45656e10i | −1.39777 | + | 1.49756i | ||||
\(715\) | −1.64956e9 | − | 6.83272e8i | −0.168771 | − | 0.0699072i | ||||
\(716\) | 5.03143e8 | − | 1.49919e9i | 0.0512267 | − | 0.152638i | ||||
\(717\) | 1.07435e9 | + | 2.59371e9i | 0.108850 | + | 0.262787i | ||||
\(718\) | −5.93209e8 | − | 1.30325e9i | −0.0598098 | − | 0.131399i | ||||
\(719\) | 1.50764e10i | 1.51268i | 0.654181 | + | 0.756338i | \(0.273014\pi\) | ||||
−0.654181 | + | 0.756338i | \(0.726986\pi\) | |||||||
\(720\) | −1.12608e9 | + | 6.60547e8i | −0.112436 | + | 0.0659538i | ||||
\(721\) | − | 1.97541e10i | − | 1.96283i | ||||||
\(722\) | 6.23380e9 | − | 2.83748e9i | 0.616415 | − | 0.280577i | ||||
\(723\) | 7.21537e9 | + | 1.74194e10i | 0.710027 | + | 1.71416i | ||||
\(724\) | −6.48108e9 | − | 1.30288e10i | −0.634691 | − | 1.27591i | ||||
\(725\) | −6.07398e9 | − | 2.51592e9i | −0.591957 | − | 0.245197i | ||||
\(726\) | −3.15203e9 | − | 2.94201e9i | −0.305712 | − | 0.285342i | ||||
\(727\) | −3.19467e9 | + | 3.19467e9i | −0.308358 | + | 0.308358i | −0.844272 | − | 0.535914i | \(-0.819967\pi\) |
0.535914 | + | 0.844272i | \(0.319967\pi\) | |||||||
\(728\) | −1.80102e10 | + | 1.86804e9i | −1.73005 | + | 0.179443i | ||||
\(729\) | 1.03511e10 | + | 1.03511e10i | 0.989553 | + | 0.989553i | ||||
\(730\) | 6.14632e7 | + | 1.78339e9i | 0.00584770 | + | 0.169675i | ||||
\(731\) | 1.88174e9 | − | 4.54293e9i | 0.178176 | − | 0.430156i | ||||
\(732\) | −1.00692e10 | + | 6.94877e8i | −0.948867 | + | 0.0654816i | ||||
\(733\) | 7.27284e9 | − | 3.01251e9i | 0.682088 | − | 0.282530i | −0.0146115 | − | 0.999893i | \(-0.504651\pi\) |
0.696699 | + | 0.717363i | \(0.254651\pi\) | |||||||
\(734\) | −1.26471e9 | + | 3.37792e9i | −0.118047 | + | 0.315292i | ||||
\(735\) | 5.03625e8 | 0.0467844 | ||||||||
\(736\) | −7.75264e9 | − | 1.22307e10i | −0.716766 | − | 1.13078i | ||||
\(737\) | −6.48418e8 | −0.0596649 | ||||||||
\(738\) | 5.03721e9 | − | 1.34539e10i | 0.461309 | − | 1.23212i | ||||
\(739\) | 1.20771e10 | − | 5.00251e9i | 1.10080 | − | 0.455966i | 0.243039 | − | 0.970017i | \(-0.421856\pi\) |
0.857760 | + | 0.514051i | \(0.171856\pi\) | |||||||
\(740\) | −7.21903e7 | − | 1.04608e9i | −0.00654889 | − | 0.0948973i | ||||
\(741\) | 5.49723e9 | − | 1.32715e10i | 0.496341 | − | 1.19827i | ||||
\(742\) | 6.41084e8 | + | 1.86015e10i | 0.0576104 | + | 1.67160i | ||||
\(743\) | −1.00649e10 | − | 1.00649e10i | −0.900221 | − | 0.900221i | 0.0952340 | − | 0.995455i | \(-0.469640\pi\) |
−0.995455 | + | 0.0952340i | \(0.969640\pi\) | |||||||
\(744\) | 8.39584e9 | + | 6.81785e9i | 0.747410 | + | 0.606935i | ||||
\(745\) | 5.63174e8 | − | 5.63174e8i | 0.0498995 | − | 0.0498995i | ||||
\(746\) | 1.81396e9 | + | 1.69309e9i | 0.159971 | + | 0.149312i | ||||
\(747\) | −2.87355e9 | − | 1.19026e9i | −0.252230 | − | 0.104477i | ||||
\(748\) | 1.39590e10 | − | 6.94383e9i | 1.21955 | − | 0.606657i | ||||
\(749\) | −6.96295e9 | − | 1.68101e10i | −0.605490 | − | 1.46178i | ||||
\(750\) | 3.30335e9 | − | 1.50360e9i | 0.285917 | − | 0.130142i | ||||
\(751\) | 1.89780e10i | 1.63497i | 0.575948 | + | 0.817486i | \(0.304633\pi\) | ||||
−0.575948 | + | 0.817486i | \(0.695367\pi\) | |||||||
\(752\) | −7.71164e9 | + | 1.06946e9i | −0.661279 | + | 0.0917068i | ||||
\(753\) | − | 7.94519e9i | − | 0.678144i | ||||||
\(754\) | 4.82718e9 | + | 1.06051e10i | 0.410104 | + | 0.900979i | ||||
\(755\) | 2.17181e8 | + | 5.24321e8i | 0.0183657 | + | 0.0443387i | ||||
\(756\) | 4.47019e9 | + | 1.50024e9i | 0.376270 | + | 0.126280i | ||||
\(757\) | 9.59431e9 | + | 3.97409e9i | 0.803856 | + | 0.332968i | 0.746500 | − | 0.665386i | \(-0.231733\pi\) |
0.0573564 | + | 0.998354i | \(0.481733\pi\) | |||||||
\(758\) | −1.08491e10 | + | 1.16236e10i | −0.904795 | + | 0.969387i | ||||
\(759\) | −1.92796e10 | + | 1.92796e10i | −1.60049 | + | 1.60049i | ||||
\(760\) | 3.45855e8 | + | 6.39070e8i | 0.0285790 | + | 0.0528081i | ||||
\(761\) | −8.59159e9 | − | 8.59159e9i | −0.706687 | − | 0.706687i | 0.259150 | − | 0.965837i | \(-0.416558\pi\) |
−0.965837 | + | 0.259150i | \(0.916558\pi\) | |||||||
\(762\) | −9.31659e9 | + | 3.21089e8i | −0.762807 | + | 0.0262895i | ||||
\(763\) | −1.15973e9 | + | 2.79985e9i | −0.0945197 | + | 0.228191i | ||||
\(764\) | 1.46864e10 | + | 1.27902e10i | 1.19148 | + | 1.03765i | ||||
\(765\) | −1.79549e9 | + | 7.43718e8i | −0.145000 | + | 0.0600611i | ||||
\(766\) | 3.14190e9 | + | 1.17634e9i | 0.252576 | + | 0.0945657i | ||||
\(767\) | 2.48715e10 | 1.99030 | ||||||||
\(768\) | 1.47243e10 | − | 1.16248e10i | 1.17293 | − | 0.926022i | ||||
\(769\) | 6.96732e9 | 0.552489 | 0.276244 | − | 0.961087i | \(-0.410910\pi\) | ||||
0.276244 | + | 0.961087i | \(0.410910\pi\) | |||||||
\(770\) | −1.61510e9 | − | 6.04703e8i | −0.127492 | − | 0.0477336i | ||||
\(771\) | 6.59589e9 | − | 2.73211e9i | 0.518302 | − | 0.214688i | ||||
\(772\) | −1.26361e10 | − | 1.10046e10i | −0.988442 | − | 0.860824i | ||||
\(773\) | −7.52329e9 | + | 1.81628e10i | −0.585840 | + | 1.41434i | 0.301606 | + | 0.953433i | \(0.402477\pi\) |
−0.887446 | + | 0.460911i | \(0.847523\pi\) | |||||||
\(774\) | −6.14853e9 | + | 2.11904e8i | −0.476626 | + | 0.0164265i | ||||
\(775\) | −5.83752e9 | − | 5.83752e9i | −0.450477 | − | 0.450477i | ||||
\(776\) | −1.05532e10 | − | 1.95002e10i | −0.810718 | − | 1.49804i | ||||
\(777\) | −1.41576e10 | + | 1.41576e10i | −1.08272 | + | 1.08272i | ||||
\(778\) | 6.96017e9 | − | 7.45704e9i | 0.529897 | − | 0.567725i | ||||
\(779\) | −7.38747e9 | − | 3.05999e9i | −0.559905 | − | 0.231920i | ||||
\(780\) | −3.03202e9 | − | 1.01758e9i | −0.228771 | − | 0.0767778i | ||||
\(781\) | 7.43521e9 | + | 1.79502e10i | 0.558489 | + | 1.34831i | ||||
\(782\) | −8.93037e9 | − | 1.96196e10i | −0.667799 | − | 1.46712i | ||||
\(783\) | − | 3.03432e9i | − | 0.225889i | ||||||
\(784\) | −3.95860e9 | + | 5.48983e8i | −0.293383 | + | 0.0406867i | ||||
\(785\) | − | 6.32151e8i | − | 0.0466420i | ||||||
\(786\) | −3.50799e10 | + | 1.59675e10i | −2.57679 | + | 1.17289i | ||||
\(787\) | −8.86625e9 | − | 2.14050e10i | −0.648378 | − | 1.56532i | −0.815100 | − | 0.579320i | \(-0.803318\pi\) |
0.166722 | − | 0.986004i | \(-0.446682\pi\) | |||||||
\(788\) | −5.37328e9 | + | 2.67290e9i | −0.391199 | + | 0.194599i | ||||
\(789\) | −5.86965e9 | − | 2.43129e9i | −0.425444 | − | 0.176225i | ||||
\(790\) | 6.95226e8 | + | 6.48902e8i | 0.0501685 | + | 0.0468257i | ||||
\(791\) | 1.30320e10 | − | 1.30320e10i | 0.936255 | − | 0.936255i | ||||
\(792\) | −1.51424e10 | − | 1.22964e10i | −1.08307 | − | 0.879511i | ||||
\(793\) | −9.65504e9 | − | 9.65504e9i | −0.687540 | − | 0.687540i | ||||
\(794\) | 1.17519e8 | + | 3.40989e9i | 0.00833176 | + | 0.241751i | ||||
\(795\) | −1.25809e9 | + | 3.03729e9i | −0.0888026 | + | 0.214388i | ||||
\(796\) | −1.42291e9 | − | 2.06188e10i | −0.0999959 | − | 1.44900i | ||||
\(797\) | 1.48524e10 | − | 6.15206e9i | 1.03918 | − | 0.430444i | 0.203165 | − | 0.979145i | \(-0.434877\pi\) |
0.836019 | + | 0.548701i | \(0.184877\pi\) | |||||||
\(798\) | 4.86510e9 | − | 1.29942e10i | 0.338908 | − | 0.905192i | ||||
\(799\) | −1.15896e10 | −0.803814 | ||||||||
\(800\) | −1.20947e10 | + | 7.66644e9i | −0.835179 | + | 0.529394i | ||||
\(801\) | 2.21316e10 | 1.52160 | ||||||||
\(802\) | 3.18164e9 | − | 8.49786e9i | 0.217791 | − | 0.581700i | ||||
\(803\) | −2.46327e10 | + | 1.02032e10i | −1.67884 | + | 0.695397i | ||||
\(804\) | −1.15872e9 | + | 7.99635e7i | −0.0786288 | + | 0.00542620i | ||||
\(805\) | −9.12509e8 | + | 2.20299e9i | −0.0616526 | + | 0.148843i | ||||
\(806\) | 5.03961e8 | + | 1.46227e10i | 0.0339019 | + | 0.983686i | ||||
\(807\) | −1.44639e10 | − | 1.44639e10i | −0.968785 | − | 0.968785i | ||||
\(808\) | 1.19293e10 | − | 1.23732e9i | 0.795566 | − | 0.0825170i | ||||
\(809\) | 5.65055e8 | − | 5.65055e8i | 0.0375207 | − | 0.0375207i | −0.688098 | − | 0.725618i | \(-0.741554\pi\) |
0.725618 | + | 0.688098i | \(0.241554\pi\) | |||||||
\(810\) | −8.32464e8 | − | 7.76996e8i | −0.0550387 | − | 0.0513714i | ||||
\(811\) | −5.91335e9 | − | 2.44939e9i | −0.389279 | − | 0.161244i | 0.179455 | − | 0.983766i | \(-0.442567\pi\) |
−0.568734 | + | 0.822522i | \(0.692567\pi\) | |||||||
\(812\) | 5.01264e9 | + | 1.00768e10i | 0.328564 | + | 0.660506i | ||||
\(813\) | −4.59093e9 | − | 1.10835e10i | −0.299629 | − | 0.723368i | ||||
\(814\) | 1.42594e10 | − | 6.49054e9i | 0.926652 | − | 0.421789i | ||||
\(815\) | − | 1.82862e9i | − | 0.118324i | ||||||
\(816\) | 2.40884e10 | − | 1.41300e10i | 1.55200 | − | 0.910389i | ||||
\(817\) | 3.42432e9i | 0.219683i | ||||||||
\(818\) | −6.51135e9 | − | 1.43051e10i | −0.415944 | − | 0.913809i | ||||
\(819\) | 1.29055e10 | + | 3.11567e10i | 0.820884 | + | 1.98179i | ||||
\(820\) | −5.66426e8 | + | 1.68775e9i | −0.0358752 | + | 0.106896i | ||||
\(821\) | −1.10478e10 | − | 4.57617e9i | −0.696749 | − | 0.288603i | 0.00605955 | − | 0.999982i | \(-0.498071\pi\) |
−0.702809 | + | 0.711379i | \(0.748071\pi\) | |||||||
\(822\) | 1.07265e10 | − | 1.14922e10i | 0.673606 | − | 0.721694i | ||||
\(823\) | 1.22369e10 | − | 1.22369e10i | 0.765197 | − | 0.765197i | −0.212060 | − | 0.977257i | \(-0.568017\pi\) |
0.977257 | + | 0.212060i | \(0.0680172\pi\) | |||||||
\(824\) | −7.90018e9 | + | 2.65372e10i | −0.491917 | + | 1.65238i | ||||
\(825\) | 1.90653e10 | + | 1.90653e10i | 1.18210 | + | 1.18210i | ||||
\(826\) | 2.40092e10 | − | 8.27458e8i | 1.48234 | − | 0.0510877i | ||||
\(827\) | −4.74499e9 | + | 1.14554e10i | −0.291720 | + | 0.704275i | −0.999999 | − | 0.00165837i | \(-0.999472\pi\) |
0.708278 | + | 0.705933i | \(0.249472\pi\) | |||||||
\(828\) | −1.77127e10 | + | 2.03386e10i | −1.08437 | + | 1.24513i | ||||
\(829\) | −5.95927e9 | + | 2.46841e9i | −0.363289 | + | 0.150479i | −0.556858 | − | 0.830607i | \(-0.687993\pi\) |
0.193570 | + | 0.981087i | \(0.437993\pi\) | |||||||
\(830\) | 3.60967e8 | + | 1.35148e8i | 0.0219126 | + | 0.00820417i | ||||
\(831\) | 2.80774e10 | 1.69728 | ||||||||
\(832\) | 2.49415e10 | + | 4.69327e9i | 1.50138 | + | 0.282517i | ||||
\(833\) | −5.94928e9 | −0.356621 | ||||||||
\(834\) | 3.33447e10 | + | 1.24844e10i | 1.99042 | + | 0.745223i | ||||
\(835\) | 1.51410e9 | − | 6.27159e8i | 0.0900017 | − | 0.0372799i | ||||
\(836\) | −7.13048e9 | + | 8.18758e9i | −0.422082 | + | 0.484656i | ||||
\(837\) | 1.45810e9 | − | 3.52016e9i | 0.0859503 | − | 0.207502i | ||||
\(838\) | −2.18334e9 | + | 7.52472e7i | −0.128165 | + | 0.00441709i | ||||
\(839\) | 6.93929e9 | + | 6.93929e9i | 0.405647 | + | 0.405647i | 0.880217 | − | 0.474571i | \(-0.157397\pi\) |
−0.474571 | + | 0.880217i | \(0.657397\pi\) | |||||||
\(840\) | −2.96075e9 | − | 8.81423e8i | −0.172355 | − | 0.0513106i | ||||
\(841\) | −7.07622e9 | + | 7.07622e9i | −0.410218 | + | 0.410218i | ||||
\(842\) | 9.68665e9 | − | 1.03782e10i | 0.559218 | − | 0.599140i | ||||
\(843\) | −5.04759e9 | − | 2.09078e9i | −0.290194 | − | 0.120202i | ||||
\(844\) | −8.68526e9 | + | 2.58790e10i | −0.497261 | + | 1.48166i | ||||
\(845\) | −9.46329e8 | − | 2.28464e9i | −0.0539565 | − | 0.130262i | ||||
\(846\) | 6.00717e9 | + | 1.31975e10i | 0.341093 | + | 0.749367i | ||||
\(847\) | − | 5.63411e9i | − | 0.318591i | ||||||
\(848\) | 6.57799e9 | − | 2.52451e10i | 0.370432 | − | 1.42165i | ||||
\(849\) | − | 9.02204e9i | − | 0.505974i | ||||||
\(850\) | −1.94015e10 | + | 8.83108e9i | −1.08360 | + | 0.493228i | ||||
\(851\) | −8.28970e9 | − | 2.00131e10i | −0.461090 | − | 1.11317i | ||||
\(852\) | 1.55003e10 | + | 3.11599e10i | 0.858621 | + | 1.72607i | ||||
\(853\) | 1.05569e10 | + | 4.37283e9i | 0.582393 | + | 0.241235i | 0.654374 | − | 0.756171i | \(-0.272932\pi\) |
−0.0719809 | + | 0.997406i | \(0.522932\pi\) | |||||||
\(854\) | −9.64152e9 | − | 8.99908e9i | −0.529716 | − | 0.494420i | ||||
\(855\) | 9.56989e8 | − | 9.56989e8i | 0.0523631 | − | 0.0523631i | ||||
\(856\) | 2.63109e9 | + | 2.53669e10i | 0.143376 | + | 1.38232i | ||||
\(857\) | 5.09015e9 | + | 5.09015e9i | 0.276247 | + | 0.276247i | 0.831609 | − | 0.555362i | \(-0.187420\pi\) |
−0.555362 | + | 0.831609i | \(0.687420\pi\) | |||||||
\(858\) | −1.64593e9 | − | 4.77577e10i | −0.0889621 | − | 2.58129i | ||||
\(859\) | −1.14106e10 | + | 2.75475e10i | −0.614230 | + | 1.48288i | 0.244083 | + | 0.969754i | \(0.421513\pi\) |
−0.858313 | + | 0.513127i | \(0.828487\pi\) | |||||||
\(860\) | 7.60583e8 | − | 5.24881e7i | 0.0407758 | − | 0.00281395i | ||||
\(861\) | 3.14058e10 | − | 1.30087e10i | 1.67687 | − | 0.694581i | ||||
\(862\) | 1.47963e9 | − | 3.95195e9i | 0.0786824 | − | 0.210153i | ||||
\(863\) | −7.81562e9 | −0.413929 | −0.206964 | − | 0.978348i | \(-0.566358\pi\) | ||||
−0.206964 | + | 0.978348i | \(0.566358\pi\) | |||||||
\(864\) | −5.40516e9 | − | 3.80313e9i | −0.285109 | − | 0.200606i | ||||
\(865\) | 2.54933e9 | 0.133928 | ||||||||
\(866\) | −7.46536e9 | + | 1.99393e10i | −0.390606 | + | 1.04327i | ||||
\(867\) | 1.19138e10 | − | 4.93484e9i | 0.620843 | − | 0.257162i | ||||
\(868\) | 9.72977e8 | + | 1.40990e10i | 0.0504991 | + | 0.731761i | ||||
\(869\) | −5.43771e9 | + | 1.31278e10i | −0.281091 | + | 0.678613i | ||||
\(870\) | 6.84717e7 | + | 1.98675e9i | 0.00352528 | + | 0.102288i | ||||
\(871\) | −1.11106e9 | − | 1.11106e9i | −0.0569737 | − | 0.0569737i | ||||
\(872\) | 2.67769e9 | − | 3.29744e9i | 0.136758 | − | 0.168410i | ||||
\(873\) | −2.92010e10 | + | 2.92010e10i | −1.48542 | + | 1.48542i | ||||
\(874\) | 1.09742e10 | + | 1.02430e10i | 0.556011 | + | 0.518963i | ||||
\(875\) | 4.38161e9 | + | 1.81492e9i | 0.221109 | + | 0.0915862i | ||||
\(876\) | −4.27603e10 | + | 2.12708e10i | −2.14920 | + | 1.06910i | ||||
\(877\) | −1.44551e10 | − | 3.48978e10i | −0.723641 | − | 1.74702i | −0.662703 | − | 0.748882i | \(-0.730591\pi\) |
−0.0609381 | − | 0.998142i | \(-0.519409\pi\) | |||||||
\(878\) | −1.95965e10 | + | 8.91985e9i | −0.977119 | + | 0.444761i | ||||
\(879\) | − | 3.02065e10i | − | 1.50017i | ||||||
\(880\) | 1.92786e9 | + | 1.45827e9i | 0.0953642 | + | 0.0721352i | ||||
\(881\) | − | 4.95413e9i | − | 0.244091i | −0.992525 | − | 0.122046i | \(-0.961055\pi\) | ||
0.992525 | − | 0.122046i | \(-0.0389454\pi\) | |||||||
\(882\) | 3.08364e9 | + | 6.77462e9i | 0.151330 | + | 0.332464i | ||||
\(883\) | −2.21940e9 | − | 5.35811e9i | −0.108486 | − | 0.261908i | 0.860309 | − | 0.509774i | \(-0.170271\pi\) |
−0.968794 | + | 0.247866i | \(0.920271\pi\) | |||||||
\(884\) | 3.58170e10 | + | 1.20205e10i | 1.74384 | + | 0.585249i | ||||
\(885\) | 3.92029e9 | + | 1.62384e9i | 0.190115 | + | 0.0787482i | ||||
\(886\) | −7.12361e9 | + | 7.63215e9i | −0.344098 | + | 0.368662i | ||||
\(887\) | 7.81548e9 | − | 7.81548e9i | 0.376030 | − | 0.376030i | −0.493637 | − | 0.869668i | \(-0.664333\pi\) |
0.869668 | + | 0.493637i | \(0.164333\pi\) | |||||||
\(888\) | 2.46811e10 | − | 1.33570e10i | 1.18282 | − | 0.640125i | ||||
\(889\) | −8.61345e9 | − | 8.61345e9i | −0.411170 | − | 0.411170i | ||||
\(890\) | −2.74098e9 | + | 9.44654e7i | −0.130329 | + | 0.00449167i | ||||
\(891\) | 6.51111e9 | − | 1.57192e10i | 0.308378 | − | 0.744490i | ||||
\(892\) | −8.05070e9 | − | 7.01127e9i | −0.379802 | − | 0.330765i | ||||
\(893\) | 7.45655e9 | − | 3.08861e9i | 0.350395 | − | 0.145138i | ||||
\(894\) | 1.99627e10 | + | 7.47411e9i | 0.934409 | + | 0.349847i | ||||
\(895\) | 3.64986e8 | 0.0170175 | ||||||||
\(896\) | 2.42330e10 | + | 3.70077e9i | 1.12546 | + | 0.171875i | ||||
\(897\) | −6.60710e10 | −3.05659 | ||||||||
\(898\) | −2.59469e9 | − | 9.71463e8i | −0.119569 | − | 0.0447671i | ||||
\(899\) | 8.40224e9 | − | 3.48032e9i | 0.385688 | − | 0.159757i | ||||
\(900\) | 2.01125e10 | + | 1.75157e10i | 0.919637 | + | 0.800902i | ||||
\(901\) | 1.48617e10 | − | 3.58792e10i | 0.676910 | − | 1.63421i | ||||
\(902\) | −2.65839e10 | + | 9.16193e8i | −1.20614 | + | 0.0415685i | ||||
\(903\) | −1.02937e10 | − | 1.02937e10i | −0.465228 | − | 0.465228i | ||||
\(904\) | −2.27188e10 | + | 1.22951e10i | −1.02281 | + | 0.553530i | ||||
\(905\) | 2.37489e9 | − | 2.37489e9i | 0.106506 | − | 0.106506i | ||||
\(906\) | −1.03639e10 | + | 1.11038e10i | −0.462994 | + | 0.496047i | ||||
\(907\) | 1.91598e10 | + | 7.93623e9i | 0.852638 | + | 0.353174i | 0.765824 | − | 0.643050i | \(-0.222331\pi\) |
0.0868140 | + | 0.996225i | \(0.472331\pi\) | |||||||
\(908\) | 1.26059e10 | + | 4.23066e9i | 0.558821 | + | 0.187546i | ||||
\(909\) | −8.54817e9 | − | 2.06371e10i | −0.377485 | − | 0.911329i | ||||
\(910\) | −1.73132e9 | − | 3.80363e9i | −0.0761610 | − | 0.167322i | ||||
\(911\) | − | 2.90852e10i | − | 1.27455i | −0.770636 | − | 0.637275i | \(-0.780061\pi\) | ||
0.770636 | − | 0.637275i | \(-0.219939\pi\) | |||||||
\(912\) | −1.17324e10 | + | 1.55105e10i | −0.512160 | + | 0.677085i | ||||
\(913\) | 5.75899e9i | 0.250437i | ||||||||
\(914\) | 3.25906e10 | − | 1.48344e10i | 1.41182 | − | 0.642628i | ||||
\(915\) | −8.91474e8 | − | 2.15221e9i | −0.0384711 | − | 0.0928775i | ||||
\(916\) | −7.24349e9 | + | 3.60322e9i | −0.311396 | + | 0.154902i | ||||
\(917\) | −4.65305e10 | − | 1.92736e10i | −1.99271 | − | 0.825409i | ||||
\(918\) | −7.19230e9 | − | 6.71306e9i | −0.306845 | − | 0.286399i | ||||
\(919\) | −9.54829e9 | + | 9.54829e9i | −0.405809 | + | 0.405809i | −0.880274 | − | 0.474465i | \(-0.842641\pi\) |
0.474465 | + | 0.880274i | \(0.342641\pi\) | |||||||
\(920\) | 2.10688e9 | − | 2.59451e9i | 0.0892035 | − | 0.109850i | ||||
\(921\) | 1.32016e10 | + | 1.32016e10i | 0.556824 | + | 0.556824i | ||||
\(922\) | −8.21082e8 | − | 2.38242e10i | −0.0345007 | − | 1.00106i | ||||
\(923\) | −1.80174e10 | + | 4.34978e10i | −0.754198 | + | 1.82080i | ||||
\(924\) | −3.17773e9 | − | 4.60471e10i | −0.132515 | − | 1.92022i | ||||
\(925\) | −1.97906e10 | + | 8.19754e9i | −0.822173 | + | 0.340555i | ||||
\(926\) | −2.01314e9 | + | 5.37692e9i | −0.0833174 | + | 0.222533i | ||||
\(927\) | 5.15689e10 | 2.12622 | ||||||||
\(928\) | −2.70388e9 | − | 1.55416e10i | −0.111063 | − | 0.638380i | ||||
\(929\) | 4.01671e10 | 1.64367 | 0.821837 | − | 0.569723i | \(-0.192950\pi\) | ||||
0.821837 | + | 0.569723i | \(0.192950\pi\) | |||||||
\(930\) | −8.75269e8 | + | 2.33776e9i | −0.0356822 | + | 0.0953037i | ||||
\(931\) | 3.82765e9 | − | 1.58547e9i | 0.155456 | − | 0.0643922i | ||||
\(932\) | −2.79376e10 | + | 1.92798e9i | −1.13040 | + | 0.0780095i | ||||
\(933\) | −1.37801e10 | + | 3.32680e10i | −0.555476 | + | 1.34104i | ||||
\(934\) | −5.68677e8 | − | 1.65005e10i | −0.0228376 | − | 0.662649i | ||||
\(935\) | 2.54446e9 | + | 2.54446e9i | 0.101802 | + | 0.101802i | ||||
\(936\) | −4.87660e9 | − | 4.70164e10i | −0.194380 | − | 1.87406i | ||||
\(937\) | 1.88526e10 | − | 1.88526e10i | 0.748657 | − | 0.748657i | −0.225570 | − | 0.974227i | \(-0.572425\pi\) |
0.974227 | + | 0.225570i | \(0.0724245\pi\) | |||||||
\(938\) | −1.10951e9 | − | 1.03558e9i | −0.0438955 | − | 0.0409706i | ||||
\(939\) | 6.38859e9 | + | 2.64624e9i | 0.251811 | + | 0.104304i | ||||
\(940\) | −8.00311e8 | − | 1.60885e9i | −0.0314276 | − | 0.0631783i | ||||
\(941\) | 1.57043e10 | + | 3.79135e10i | 0.614405 | + | 1.48330i | 0.858116 | + | 0.513456i | \(0.171635\pi\) |
−0.243711 | + | 0.969848i | \(0.578365\pi\) | |||||||
\(942\) | 1.53986e10 | − | 7.00906e9i | 0.600210 | − | 0.273201i | ||||
\(943\) | 3.67779e10i | 1.42822i | ||||||||
\(944\) | −3.25844e10 | − | 8.49034e9i | −1.26069 | − | 0.328491i | ||||
\(945\) | 1.08829e9i | 0.0419502i | ||||||||
\(946\) | 4.71914e9 | + | 1.03677e10i | 0.181236 | + | 0.398167i | ||||
\(947\) | 7.63256e9 | + | 1.84266e10i | 0.292042 | + | 0.705052i | 0.999999 | − | 0.00120333i | \(-0.000383030\pi\) |
−0.707957 | + | 0.706255i | \(0.750383\pi\) | |||||||
\(948\) | −8.09821e9 | + | 2.41298e10i | −0.308717 | + | 0.919868i | ||||
\(949\) | −5.96913e10 | − | 2.47249e10i | −2.26714 | − | 0.939082i | ||||
\(950\) | 1.01291e10 | − | 1.08522e10i | 0.383300 | − | 0.410663i | ||||
\(951\) | 1.50665e10 | − | 1.50665e10i | 0.568042 | − | 0.568042i | ||||
\(952\) | 3.49751e10 | + | 1.04122e10i | 1.31380 | + | 0.391122i | ||||
\(953\) | 2.33783e10 | + | 2.33783e10i | 0.874960 | + | 0.874960i | 0.993008 | − | 0.118048i | \(-0.0376636\pi\) |
−0.118048 | + | 0.993008i | \(0.537664\pi\) | |||||||
\(954\) | −4.85599e10 | + | 1.67358e9i | −1.81075 | + | 0.0624061i | ||||
\(955\) | −1.72014e9 | + | 4.15277e9i | −0.0639073 | + | 0.154286i | ||||
\(956\) | 3.37690e9 | − | 3.87753e9i | 0.125002 | − | 0.143533i | ||||
\(957\) | −2.74416e10 | + | 1.13667e10i | −1.01209 | + | 0.419220i | ||||
\(958\) | 2.71821e8 | + | 1.01771e8i | 0.00998858 | + | 0.00373977i | ||||
\(959\) | 2.05418e10 | 0.752097 | ||||||||
\(960\) | 3.62490e9 | + | 2.36817e9i | 0.132235 | + | 0.0863899i | ||||
\(961\) | −1.60926e10 | −0.584918 | ||||||||
\(962\) | 3.55550e10 | + | 1.33120e10i | 1.28762 | + | 0.482091i | ||||
\(963\) | 4.38834e10 | − | 1.81771e10i | 1.58347 | − | 0.655893i | ||||
\(964\) | 2.26794e10 | − | 2.60417e10i | 0.815384 | − | 0.936266i | ||||
\(965\) | 1.47999e9 | − | 3.57302e9i | 0.0530169 | − | 0.127994i | ||||
\(966\) | −6.37803e10 | + | 2.19814e9i | −2.27650 | + | 0.0784575i | ||||
\(967\) | 1.74555e10 | + | 1.74555e10i | 0.620781 | + | 0.620781i | 0.945731 | − | 0.324950i | \(-0.105347\pi\) |
−0.324950 | + | 0.945731i | \(0.605347\pi\) | |||||||
\(968\) | −2.25323e9 | + | 7.56873e9i | −0.0798438 | + | 0.268200i | ||||
\(969\) | −2.04713e10 | + | 2.04713e10i | −0.722791 | + | 0.722791i | ||||
\(970\) | 3.49187e9 | − | 3.74115e9i | 0.122845 | − | 0.131615i | ||||
\(971\) | −2.72101e10 | − | 1.12708e10i | −0.953813 | − | 0.395082i | −0.149151 | − | 0.988814i | \(-0.547654\pi\) |
−0.804663 | + | 0.593732i | \(0.797654\pi\) | |||||||
\(972\) | 1.28724e10 | − | 3.83554e10i | 0.449603 | − | 1.33966i | ||||
\(973\) | 1.78045e10 | + | 4.29839e10i | 0.619633 | + | 1.49593i | ||||
\(974\) | −6.88405e9 | − | 1.51239e10i | −0.238719 | − | 0.524456i | ||||
\(975\) | 6.53365e10i | 2.25756i | ||||||||
\(976\) | 9.35322e9 | + | 1.59451e10i | 0.322023 | + | 0.548974i | ||||
\(977\) | − | 1.81081e10i | − | 0.621216i | −0.950538 | − | 0.310608i | \(-0.899467\pi\) | ||
0.950538 | − | 0.310608i | \(-0.100533\pi\) | |||||||
\(978\) | 4.45435e10 | − | 2.02751e10i | 1.52264 | − | 0.693071i | ||||
\(979\) | −1.56818e10 | − | 3.78591e10i | −0.534141 | − | 1.28953i | ||||
\(980\) | −4.10822e8 | − | 8.25867e8i | −0.0139432 | − | 0.0280297i | ||||
\(981\) | −7.30913e9 | − | 3.02754e9i | −0.247186 | − | 0.102388i | ||||
\(982\) | −2.55066e10 | − | 2.38071e10i | −0.859533 | − | 0.802261i | ||||
\(983\) | 3.29245e10 | − | 3.29245e10i | 1.10556 | − | 1.10556i | 0.111830 | − | 0.993727i | \(-0.464329\pi\) |
0.993727 | − | 0.111830i | \(-0.0356712\pi\) | |||||||
\(984\) | −4.73923e10 | + | 4.91559e9i | −1.58571 | + | 0.164472i | ||||
\(985\) | −9.79445e8 | − | 9.79445e8i | −0.0326553 | − | 0.0326553i | ||||
\(986\) | −8.08850e8 | − | 2.34693e10i | −0.0268719 | − | 0.779706i | ||||
\(987\) | −1.31304e10 | + | 3.16995e10i | −0.434677 | + | 1.04940i | ||||
\(988\) | −2.62474e10 | + | 1.81134e9i | −0.865840 | + | 0.0597519i | ||||
\(989\) | 1.45511e10 | − | 6.02728e9i | 0.478310 | − | 0.198123i | ||||
\(990\) | 1.57860e9 | − | 4.21630e9i | 0.0517071 | − | 0.138105i | ||||
\(991\) | −8.18134e9 | −0.267034 | −0.133517 | − | 0.991047i | \(-0.542627\pi\) | ||||
−0.133517 | + | 0.991047i | \(0.542627\pi\) | |||||||
\(992\) | 4.33149e9 | − | 1.93294e10i | 0.140879 | − | 0.628677i | ||||
\(993\) | −1.73071e10 | −0.560922 | ||||||||
\(994\) | −1.59456e10 | + | 4.25891e10i | −0.514977 | + | 1.37545i | ||||
\(995\) | 4.40712e9 | − | 1.82549e9i | 0.141832 | − | 0.0587487i | ||||
\(996\) | 7.10203e8 | + | 1.02913e10i | 0.0227759 | + | 0.330036i | ||||
\(997\) | 2.12062e9 | − | 5.11962e9i | 0.0677687 | − | 0.163608i | −0.886366 | − | 0.462984i | \(-0.846779\pi\) |
0.954135 | + | 0.299376i | \(0.0967786\pi\) | |||||||
\(998\) | −3.02339e8 | − | 8.77255e9i | −0.00962801 | − | 0.279363i | ||||
\(999\) | −6.99088e9 | − | 6.99088e9i | −0.221847 | − | 0.221847i |
(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 | 32.8.g.a.21.24 | ✓ | 108 | |
32.29 | even | 8 | inner | 32.8.g.a.29.24 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.8.g.a.21.24 | ✓ | 108 | 1.1 | even | 1 | trivial | |
32.8.g.a.29.24 | yes | 108 | 32.29 | even | 8 | inner |