Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,9,Mod(7,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.7");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.d (of order \(10\), 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: | \(8.96232942134\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Character | \(\chi\) | \(=\) | 22.7 |
Dual form | 22.9.d.a.19.5 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.65003 | − | 9.15298i | 0.415627 | − | 0.572061i | ||||
\(3\) | −43.1911 | + | 132.929i | −0.533224 | + | 1.64109i | 0.214232 | + | 0.976783i | \(0.431275\pi\) |
−0.747456 | + | 0.664311i | \(0.768725\pi\) | |||||||
\(4\) | −39.5542 | − | 121.735i | −0.154508 | − | 0.475528i | ||||
\(5\) | 371.274 | − | 269.746i | 0.594038 | − | 0.431594i | −0.249720 | − | 0.968318i | \(-0.580338\pi\) |
0.843758 | + | 0.536724i | \(0.180338\pi\) | |||||||
\(6\) | 929.471 | + | 1279.31i | 0.717185 | + | 0.987120i | ||||
\(7\) | −2980.04 | + | 968.273i | −1.24116 | + | 0.403279i | −0.854747 | − | 0.519045i | \(-0.826288\pi\) |
−0.386418 | + | 0.922324i | \(0.626288\pi\) | |||||||
\(8\) | −1377.28 | − | 447.504i | −0.336249 | − | 0.109254i | ||||
\(9\) | −10496.6 | − | 7626.22i | −1.59985 | − | 1.16236i | ||||
\(10\) | − | 5192.08i | − | 0.519208i | ||||||
\(11\) | −14387.1 | − | 2714.69i | −0.982660 | − | 0.185417i | ||||
\(12\) | 17890.5 | 0.862774 | ||||||||
\(13\) | −15425.0 | + | 21230.7i | −0.540073 | + | 0.743347i | −0.988624 | − | 0.150411i | \(-0.951940\pi\) |
0.448550 | + | 0.893757i | \(0.351940\pi\) | |||||||
\(14\) | −10954.8 | + | 33715.3i | −0.285161 | + | 0.877636i | ||||
\(15\) | 19821.3 | + | 61003.6i | 0.391531 | + | 1.20501i | ||||
\(16\) | −13254.9 | + | 9630.27i | −0.202254 | + | 0.146946i | ||||
\(17\) | −37909.1 | − | 52177.4i | −0.453887 | − | 0.624722i | 0.519340 | − | 0.854568i | \(-0.326178\pi\) |
−0.973227 | + | 0.229846i | \(0.926178\pi\) | |||||||
\(18\) | −139605. | + | 45360.5i | −1.32988 | + | 0.432104i | ||||
\(19\) | 141104. | + | 45847.3i | 1.08274 | + | 0.351803i | 0.795436 | − | 0.606037i | \(-0.207242\pi\) |
0.287302 | + | 0.957840i | \(0.407242\pi\) | |||||||
\(20\) | −47523.1 | − | 34527.5i | −0.297019 | − | 0.215797i | ||||
\(21\) | − | 437953.i | − | 2.25191i | ||||||
\(22\) | −120522. | + | 113632.i | −0.514490 | + | 0.485078i | ||||
\(23\) | −181813. | −0.649702 | −0.324851 | − | 0.945765i | \(-0.605314\pi\) | ||||
−0.324851 | + | 0.945765i | \(0.605314\pi\) | |||||||
\(24\) | 118972. | − | 163751.i | 0.358592 | − | 0.493560i | ||||
\(25\) | −55628.5 | + | 171207.i | −0.142409 | + | 0.438290i | ||||
\(26\) | 91747.6 | + | 282370.i | 0.200771 | + | 0.617910i | ||||
\(27\) | 725212. | − | 526897.i | 1.36461 | − | 0.991450i | ||||
\(28\) | 235746. | + | 324476.i | 0.383541 | + | 0.527899i | ||||
\(29\) | −248547. | + | 80757.9i | −0.351412 | + | 0.114181i | −0.479404 | − | 0.877595i | \(-0.659147\pi\) |
0.127991 | + | 0.991775i | \(0.459147\pi\) | |||||||
\(30\) | 690177. | + | 224252.i | 0.852070 | + | 0.276854i | ||||
\(31\) | 1.18362e6 | + | 859952.i | 1.28164 | + | 0.931167i | 0.999601 | − | 0.0282362i | \(-0.00898907\pi\) |
0.282040 | + | 0.959403i | \(0.408989\pi\) | |||||||
\(32\) | 185364.i | 0.176777i | ||||||||
\(33\) | 982256. | − | 1.79521e6i | 0.828264 | − | 1.51377i | ||||
\(34\) | −729676. | −0.546027 | ||||||||
\(35\) | −845222. | + | 1.16335e6i | −0.563247 | + | 0.775243i | ||||
\(36\) | −513196. | + | 1.57945e6i | −0.305543 | + | 0.940366i | ||||
\(37\) | −801447. | − | 2.46660e6i | −0.427630 | − | 1.31611i | −0.900454 | − | 0.434952i | \(-0.856765\pi\) |
0.472824 | − | 0.881157i | \(-0.343235\pi\) | |||||||
\(38\) | 1.35798e6 | − | 986632.i | 0.651268 | − | 0.473174i | ||||
\(39\) | −2.15595e6 | − | 2.96741e6i | −0.931922 | − | 1.28268i | ||||
\(40\) | −632060. | + | 205369.i | −0.246898 | + | 0.0802221i | ||||
\(41\) | 3.13029e6 | + | 1.01709e6i | 1.10777 | + | 0.359936i | 0.805087 | − | 0.593156i | \(-0.202118\pi\) |
0.302681 | + | 0.953092i | \(0.402118\pi\) | |||||||
\(42\) | −4.00858e6 | − | 2.91240e6i | −1.28823 | − | 0.935953i | ||||
\(43\) | 6.20970e6i | 1.81634i | 0.418602 | + | 0.908170i | \(0.362520\pi\) | ||||
−0.418602 | + | 0.908170i | \(0.637480\pi\) | |||||||
\(44\) | 238598. | + | 1.85880e6i | 0.0636584 | + | 0.495931i | ||||
\(45\) | −5.95425e6 | −1.45204 | ||||||||
\(46\) | −1.20906e6 | + | 1.66413e6i | −0.270034 | + | 0.371670i | ||||
\(47\) | −1.90525e6 | + | 5.86375e6i | −0.390445 | + | 1.20167i | 0.542007 | + | 0.840374i | \(0.317665\pi\) |
−0.932452 | + | 0.361293i | \(0.882335\pi\) | |||||||
\(48\) | −707644. | − | 2.17790e6i | −0.133306 | − | 0.410274i | ||||
\(49\) | 3.27925e6 | − | 2.38251e6i | 0.568839 | − | 0.413286i | ||||
\(50\) | 1.19712e6 | + | 1.64770e6i | 0.191540 | + | 0.263632i | ||||
\(51\) | 8.57321e6 | − | 2.78560e6i | 1.26725 | − | 0.411755i | ||||
\(52\) | 3.19465e6 | + | 1.03801e6i | 0.436928 | + | 0.141967i | ||||
\(53\) | −8.14563e6 | − | 5.91815e6i | −1.03234 | − | 0.750036i | −0.0635616 | − | 0.997978i | \(-0.520246\pi\) |
−0.968775 | + | 0.247941i | \(0.920246\pi\) | |||||||
\(54\) | − | 1.01417e7i | − | 1.19272i | ||||||
\(55\) | −6.07384e6 | + | 2.87298e6i | −0.663762 | + | 0.313966i | ||||
\(56\) | 4.53764e6 | 0.461401 | ||||||||
\(57\) | −1.21888e7 | + | 1.67765e7i | −1.15468 | + | 1.58929i | ||||
\(58\) | −913671. | + | 2.81199e6i | −0.0807380 | + | 0.248486i | ||||
\(59\) | −5.33219e6 | − | 1.64108e7i | −0.440045 | − | 1.35432i | −0.887827 | − | 0.460178i | \(-0.847786\pi\) |
0.447781 | − | 0.894143i | \(-0.352214\pi\) | |||||||
\(60\) | 6.64227e6 | − | 4.82589e6i | 0.512521 | − | 0.372368i | ||||
\(61\) | 5.56400e6 | + | 7.65818e6i | 0.401853 | + | 0.553103i | 0.961208 | − | 0.275825i | \(-0.0889510\pi\) |
−0.559355 | + | 0.828928i | \(0.688951\pi\) | |||||||
\(62\) | 1.57422e7 | − | 5.11497e6i | 1.06537 | − | 0.346159i | ||||
\(63\) | 3.86645e7 | + | 1.25629e7i | 2.45443 | + | 0.797491i | ||||
\(64\) | 1.69663e6 | + | 1.23268e6i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 1.20433e7i | 0.674669i | ||||||||
\(66\) | −9.89950e6 | − | 2.09288e7i | −0.521720 | − | 1.10298i | ||||
\(67\) | −9.29903e6 | −0.461465 | −0.230732 | − | 0.973017i | \(-0.574112\pi\) | ||||
−0.230732 | + | 0.973017i | \(0.574112\pi\) | |||||||
\(68\) | −4.85237e6 | + | 6.67871e6i | −0.226944 | + | 0.312361i | ||||
\(69\) | 7.85273e6 | − | 2.41682e7i | 0.346437 | − | 1.06622i | ||||
\(70\) | 5.02735e6 | + | 1.54726e7i | 0.209386 | + | 0.644423i | ||||
\(71\) | 1.53599e7 | − | 1.11596e7i | 0.604442 | − | 0.439153i | −0.243011 | − | 0.970024i | \(-0.578135\pi\) |
0.847453 | + | 0.530871i | \(0.178135\pi\) | |||||||
\(72\) | 1.10439e7 | + | 1.52007e7i | 0.410955 | + | 0.565631i | ||||
\(73\) | −2.04906e7 | + | 6.65779e6i | −0.721544 | + | 0.234444i | −0.646692 | − | 0.762751i | \(-0.723848\pi\) |
−0.0748513 | + | 0.997195i | \(0.523848\pi\) | |||||||
\(74\) | −2.79064e7 | − | 9.06734e6i | −0.930630 | − | 0.302380i | ||||
\(75\) | −2.03556e7 | − | 1.47892e7i | −0.643339 | − | 0.467413i | ||||
\(76\) | − | 1.89907e7i | − | 0.569229i | ||||||
\(77\) | 4.55027e7 | − | 5.84079e6i | 1.29442 | − | 0.166153i | ||||
\(78\) | −4.14977e7 | −1.12110 | ||||||||
\(79\) | −1.55508e7 | + | 2.14039e7i | −0.399251 | + | 0.549521i | −0.960556 | − | 0.278088i | \(-0.910299\pi\) |
0.561305 | + | 0.827609i | \(0.310299\pi\) | |||||||
\(80\) | −2.32348e6 | + | 7.15094e6i | −0.0567256 | + | 0.174583i | ||||
\(81\) | 1.24117e7 | + | 3.81994e7i | 0.288331 | + | 0.887393i | ||||
\(82\) | 3.01259e7 | − | 2.18878e7i | 0.666324 | − | 0.484112i | ||||
\(83\) | −1.74413e7 | − | 2.40059e7i | −0.367509 | − | 0.505832i | 0.584713 | − | 0.811240i | \(-0.301207\pi\) |
−0.952222 | + | 0.305408i | \(0.901207\pi\) | |||||||
\(84\) | −5.33143e7 | + | 1.73229e7i | −1.07085 | + | 0.347939i | ||||
\(85\) | −2.81493e7 | − | 9.14627e6i | −0.539253 | − | 0.175214i | ||||
\(86\) | 5.68373e7 | + | 4.12947e7i | 1.03906 | + | 0.754919i | ||||
\(87\) | − | 3.65271e7i | − | 0.637585i | ||||||
\(88\) | 1.86002e7 | + | 1.01772e7i | 0.310161 | + | 0.169706i | ||||
\(89\) | −1.07053e7 | −0.170623 | −0.0853115 | − | 0.996354i | \(-0.527189\pi\) | ||||
−0.0853115 | + | 0.996354i | \(0.527189\pi\) | |||||||
\(90\) | −3.95960e7 | + | 5.44992e7i | −0.603505 | + | 0.830654i | ||||
\(91\) | 2.54100e7 | − | 7.82040e7i | 0.370544 | − | 1.14042i | ||||
\(92\) | 7.19148e6 | + | 2.21331e7i | 0.100385 | + | 0.308952i | ||||
\(93\) | −1.65434e8 | + | 1.20195e8i | −2.21153 | + | 1.60677i | ||||
\(94\) | 4.10009e7 | + | 5.64329e7i | 0.525148 | + | 0.722804i | ||||
\(95\) | 6.47552e7 | − | 2.10402e7i | 0.795024 | − | 0.258319i | ||||
\(96\) | −2.46402e7 | − | 8.00607e6i | −0.290107 | − | 0.0942616i | ||||
\(97\) | −7.62538e7 | − | 5.54016e7i | −0.861340 | − | 0.625800i | 0.0669093 | − | 0.997759i | \(-0.478686\pi\) |
−0.928249 | + | 0.371959i | \(0.878686\pi\) | |||||||
\(98\) | − | 4.58587e7i | − | 0.497184i | ||||||
\(99\) | 1.30313e8 | + | 1.38214e8i | 1.35658 | + | 1.43884i | ||||
\(100\) | 2.30423e7 | 0.230423 | ||||||||
\(101\) | 4.73947e7 | − | 6.52332e7i | 0.455454 | − | 0.626878i | −0.518105 | − | 0.855317i | \(-0.673362\pi\) |
0.973558 | + | 0.228439i | \(0.0733622\pi\) | |||||||
\(102\) | 3.15155e7 | − | 9.69948e7i | 0.291155 | − | 0.896082i | ||||
\(103\) | −2.35398e7 | − | 7.24480e7i | −0.209148 | − | 0.643691i | −0.999517 | − | 0.0310608i | \(-0.990111\pi\) |
0.790370 | − | 0.612630i | \(-0.209889\pi\) | |||||||
\(104\) | 3.07454e7 | − | 2.23378e7i | 0.262813 | − | 0.190945i | ||||
\(105\) | −1.18136e8 | − | 1.62601e8i | −0.971910 | − | 1.33772i | ||||
\(106\) | −1.08337e8 | + | 3.52010e7i | −0.858134 | + | 0.278825i | ||||
\(107\) | 2.96683e7 | + | 9.63982e6i | 0.226338 | + | 0.0735418i | 0.419991 | − | 0.907528i | \(-0.362033\pi\) |
−0.193652 | + | 0.981070i | \(0.562033\pi\) | |||||||
\(108\) | −9.28271e7 | − | 6.74428e7i | −0.682307 | − | 0.495725i | ||||
\(109\) | − | 7.03263e7i | − | 0.498209i | −0.968477 | − | 0.249104i | \(-0.919864\pi\) | ||
0.968477 | − | 0.249104i | \(-0.0801363\pi\) | |||||||
\(110\) | −1.40949e7 | + | 7.46992e7i | −0.0962699 | + | 0.510205i | ||||
\(111\) | 3.62497e8 | 2.38788 | ||||||||
\(112\) | 3.01755e7 | − | 4.15330e7i | 0.191771 | − | 0.263949i | ||||
\(113\) | −3.18703e7 | + | 9.80867e7i | −0.195466 | + | 0.601584i | 0.804504 | + | 0.593947i | \(0.202431\pi\) |
−0.999971 | + | 0.00763722i | \(0.997569\pi\) | |||||||
\(114\) | 7.24989e7 | + | 2.23129e8i | 0.429251 | + | 1.32110i | ||||
\(115\) | −6.75026e7 | + | 4.90435e7i | −0.385948 | + | 0.280408i | ||||
\(116\) | 1.96622e7 | + | 2.70626e7i | 0.108592 | + | 0.149465i | ||||
\(117\) | 3.23820e8 | − | 1.05216e8i | 1.72807 | − | 0.561483i | ||||
\(118\) | −1.85667e8 | − | 6.03268e7i | −0.957649 | − | 0.311159i | ||||
\(119\) | 1.63492e8 | + | 1.18784e8i | 0.815286 | + | 0.592340i | ||||
\(120\) | − | 9.28889e7i | − | 0.447960i | ||||||
\(121\) | 1.99620e8 | + | 7.81131e7i | 0.931241 | + | 0.364403i | ||||
\(122\) | 1.07096e8 | 0.483430 | ||||||||
\(123\) | −2.70401e8 | + | 3.72176e8i | −1.18138 | + | 1.62603i | ||||
\(124\) | 5.78692e7 | − | 1.78103e8i | 0.244772 | − | 0.753330i | ||||
\(125\) | 8.09251e7 | + | 2.49062e8i | 0.331469 | + | 1.02016i | ||||
\(126\) | 3.72108e8 | − | 2.70352e8i | 1.47634 | − | 1.07262i | ||||
\(127\) | −1.19151e8 | − | 1.63997e8i | −0.458017 | − | 0.630406i | 0.516079 | − | 0.856541i | \(-0.327391\pi\) |
−0.974096 | + | 0.226135i | \(0.927391\pi\) | |||||||
\(128\) | 2.25653e7 | − | 7.33191e6i | 0.0840623 | − | 0.0273135i | ||||
\(129\) | −8.25447e8 | − | 2.68204e8i | −2.98078 | − | 0.968515i | ||||
\(130\) | 1.10232e8 | + | 8.00881e7i | 0.385952 | + | 0.280411i | ||||
\(131\) | 5.01055e8i | 1.70138i | 0.525670 | + | 0.850688i | \(0.323815\pi\) | ||||
−0.525670 | + | 0.850688i | \(0.676185\pi\) | |||||||
\(132\) | −2.57393e8 | − | 4.85671e7i | −0.847814 | − | 0.159973i | ||||
\(133\) | −4.64886e8 | −1.48573 | ||||||||
\(134\) | −6.18389e7 | + | 8.51139e7i | −0.191797 | + | 0.263986i | ||||
\(135\) | 1.27124e8 | − | 3.91246e8i | 0.382729 | − | 1.17792i | ||||
\(136\) | 2.88617e7 | + | 8.88272e7i | 0.0843658 | + | 0.259651i | ||||
\(137\) | 2.08345e8 | − | 1.51372e8i | 0.591428 | − | 0.429697i | −0.251398 | − | 0.967884i | \(-0.580890\pi\) |
0.842826 | + | 0.538186i | \(0.180890\pi\) | |||||||
\(138\) | −1.68990e8 | − | 2.32595e8i | −0.465956 | − | 0.641334i | ||||
\(139\) | −4.48685e8 | + | 1.45787e8i | −1.20194 | + | 0.390534i | −0.840474 | − | 0.541852i | \(-0.817723\pi\) |
−0.361465 | + | 0.932386i | \(0.617723\pi\) | |||||||
\(140\) | 1.75053e8 | + | 5.68780e7i | 0.455676 | + | 0.148058i | ||||
\(141\) | −6.97171e8 | − | 5.06524e8i | −1.76385 | − | 1.28152i | ||||
\(142\) | − | 2.14800e8i | − | 0.528301i | ||||||
\(143\) | 2.79557e8 | − | 2.63575e8i | 0.668537 | − | 0.630319i | ||||
\(144\) | 2.12574e8 | 0.494380 | ||||||||
\(145\) | −7.04950e7 | + | 9.70280e7i | −0.159473 | + | 0.219495i | ||||
\(146\) | −7.53243e7 | + | 2.31824e8i | −0.165777 | + | 0.510208i | ||||
\(147\) | 1.75070e8 | + | 5.38809e8i | 0.374923 | + | 1.15389i | ||||
\(148\) | −2.68572e8 | + | 1.95129e8i | −0.559775 | + | 0.406700i | ||||
\(149\) | 1.30190e8 | + | 1.79191e8i | 0.264139 | + | 0.363556i | 0.920400 | − | 0.390978i | \(-0.127863\pi\) |
−0.656261 | + | 0.754534i | \(0.727863\pi\) | |||||||
\(150\) | −2.70731e8 | + | 8.79660e7i | −0.534778 | + | 0.173760i | ||||
\(151\) | 6.67667e8 | + | 2.16938e8i | 1.28426 | + | 0.417281i | 0.870078 | − | 0.492914i | \(-0.164068\pi\) |
0.414180 | + | 0.910195i | \(0.364068\pi\) | |||||||
\(152\) | −1.73822e8 | − | 1.26289e8i | −0.325634 | − | 0.236587i | ||||
\(153\) | 8.36788e8i | 1.52704i | ||||||||
\(154\) | 2.49134e8 | − | 4.55327e8i | 0.442945 | − | 0.809544i | ||||
\(155\) | 6.71417e8 | 1.16323 | ||||||||
\(156\) | −2.75961e8 | + | 3.79828e8i | −0.465961 | + | 0.641341i | ||||
\(157\) | −2.09053e8 | + | 6.43398e8i | −0.344078 | + | 1.05896i | 0.617998 | + | 0.786180i | \(0.287944\pi\) |
−0.962076 | + | 0.272783i | \(0.912056\pi\) | |||||||
\(158\) | 9.24959e7 | + | 2.84673e8i | 0.148421 | + | 0.456792i | ||||
\(159\) | 1.13851e9 | − | 8.27176e8i | 1.78135 | − | 1.29422i | ||||
\(160\) | 5.00012e7 | + | 6.88207e7i | 0.0762958 | + | 0.105012i | ||||
\(161\) | 5.41811e8 | − | 1.76045e8i | 0.806388 | − | 0.262011i | ||||
\(162\) | 4.32176e8 | + | 1.40423e8i | 0.627481 | + | 0.203881i | ||||
\(163\) | −8.24420e8 | − | 5.98976e8i | −1.16788 | − | 0.848514i | −0.177126 | − | 0.984188i | \(-0.556680\pi\) |
−0.990754 | + | 0.135674i | \(0.956680\pi\) | |||||||
\(164\) | − | 4.21297e8i | − | 0.582388i | ||||||
\(165\) | −1.19565e8 | − | 9.31475e8i | −0.161313 | − | 1.25671i | ||||
\(166\) | −3.35711e8 | −0.442114 | ||||||||
\(167\) | −8.78263e7 | + | 1.20883e8i | −0.112917 | + | 0.155417i | −0.861735 | − | 0.507359i | \(-0.830622\pi\) |
0.748818 | + | 0.662776i | \(0.230622\pi\) | |||||||
\(168\) | −1.95986e8 | + | 6.03183e8i | −0.246030 | + | 0.757202i | ||||
\(169\) | 3.92622e7 | + | 1.20837e8i | 0.0481314 | + | 0.148133i | ||||
\(170\) | −2.70910e8 | + | 1.96827e8i | −0.324361 | + | 0.235662i | ||||
\(171\) | −1.13146e9 | − | 1.55733e9i | −1.32329 | − | 1.82136i | ||||
\(172\) | 7.55940e8 | − | 2.45620e8i | 0.863721 | − | 0.280640i | ||||
\(173\) | 6.30115e8 | + | 2.04737e8i | 0.703454 | + | 0.228566i | 0.638835 | − | 0.769344i | \(-0.279417\pi\) |
0.0646191 | + | 0.997910i | \(0.479417\pi\) | |||||||
\(174\) | −3.34332e8 | − | 2.42906e8i | −0.364737 | − | 0.264997i | ||||
\(175\) | − | 5.64067e8i | − | 0.601420i | ||||||
\(176\) | 2.16844e8 | − | 1.02569e8i | 0.225993 | − | 0.106897i | ||||
\(177\) | 2.41177e9 | 2.45721 | ||||||||
\(178\) | −7.11904e7 | + | 9.79852e7i | −0.0709155 | + | 0.0976069i | ||||
\(179\) | −1.59530e8 | + | 4.90982e8i | −0.155392 | + | 0.478249i | −0.998200 | − | 0.0599657i | \(-0.980901\pi\) |
0.842808 | + | 0.538214i | \(0.180901\pi\) | |||||||
\(180\) | 2.35516e8 | + | 7.24842e8i | 0.224352 | + | 0.690484i | ||||
\(181\) | 6.04863e8 | − | 4.39459e8i | 0.563564 | − | 0.409453i | −0.269198 | − | 0.963085i | \(-0.586759\pi\) |
0.832761 | + | 0.553632i | \(0.186759\pi\) | |||||||
\(182\) | −5.46822e8 | − | 7.52636e8i | −0.498380 | − | 0.685961i | ||||
\(183\) | −1.25831e9 | + | 4.08849e8i | −1.12197 | + | 0.364551i | ||||
\(184\) | 2.50407e8 | + | 8.13623e7i | 0.218462 | + | 0.0709826i | ||||
\(185\) | −9.62913e8 | − | 6.99597e8i | −0.822053 | − | 0.597257i | ||||
\(186\) | 2.31352e9i | 1.93295i | ||||||||
\(187\) | 4.03758e8 | + | 8.53594e8i | 0.330183 | + | 0.698048i | ||||
\(188\) | 7.89186e8 | 0.631754 | ||||||||
\(189\) | −1.65098e9 | + | 2.27238e9i | −1.29388 | + | 1.78087i | ||||
\(190\) | 2.38043e8 | − | 7.32622e8i | 0.182659 | − | 0.562167i | ||||
\(191\) | −4.96774e8 | − | 1.52891e9i | −0.373272 | − | 1.14881i | −0.944637 | − | 0.328116i | \(-0.893586\pi\) |
0.571366 | − | 0.820696i | \(-0.306414\pi\) | |||||||
\(192\) | −2.37137e8 | + | 1.72290e8i | −0.174500 | + | 0.126782i | ||||
\(193\) | 7.28208e8 | + | 1.00229e9i | 0.524839 | + | 0.722379i | 0.986333 | − | 0.164764i | \(-0.0526863\pi\) |
−0.461494 | + | 0.887143i | \(0.652686\pi\) | |||||||
\(194\) | −1.01418e9 | + | 3.29527e8i | −0.715992 | + | 0.232640i | ||||
\(195\) | −1.60089e9 | − | 5.20162e8i | −1.10720 | − | 0.359750i | ||||
\(196\) | −4.19744e8 | − | 3.04962e8i | −0.284420 | − | 0.206643i | ||||
\(197\) | 3.56512e8i | 0.236706i | 0.992972 | + | 0.118353i | \(0.0377614\pi\) | ||||
−0.992972 | + | 0.118353i | \(0.962239\pi\) | |||||||
\(198\) | 2.13166e9 | − | 2.73623e8i | 1.38694 | − | 0.178029i | ||||
\(199\) | −9.81270e8 | −0.625715 | −0.312857 | − | 0.949800i | \(-0.601286\pi\) | ||||
−0.312857 | + | 0.949800i | \(0.601286\pi\) | |||||||
\(200\) | 1.53232e8 | − | 2.10905e8i | 0.0957698 | − | 0.131816i | ||||
\(201\) | 4.01636e8 | − | 1.23611e9i | 0.246064 | − | 0.757307i | ||||
\(202\) | −2.81902e8 | − | 8.67606e8i | −0.169314 | − | 0.521095i | ||||
\(203\) | 6.62484e8 | − | 4.81323e8i | 0.390114 | − | 0.283434i | ||||
\(204\) | −6.78212e8 | − | 9.33479e8i | −0.391602 | − | 0.538994i | ||||
\(205\) | 1.43655e9 | − | 4.66764e8i | 0.813403 | − | 0.264291i | ||||
\(206\) | −8.19656e8 | − | 2.66322e8i | −0.455158 | − | 0.147890i | ||||
\(207\) | 1.90842e9 | + | 1.38655e9i | 1.03942 | + | 0.755186i | ||||
\(208\) | − | 4.29959e8i | − | 0.229707i | ||||||
\(209\) | −1.90561e9 | − | 1.04266e9i | −0.998733 | − | 0.546461i | ||||
\(210\) | −2.27389e9 | −1.16921 | ||||||||
\(211\) | −1.94409e9 | + | 2.67581e9i | −0.980814 | + | 1.34997i | −0.0444242 | + | 0.999013i | \(0.514145\pi\) |
−0.936390 | + | 0.350962i | \(0.885855\pi\) | |||||||
\(212\) | −3.98253e8 | + | 1.22570e9i | −0.197159 | + | 0.606792i | ||||
\(213\) | 8.20021e8 | + | 2.52376e9i | 0.398388 | + | 1.22611i | ||||
\(214\) | 2.85528e8 | − | 2.07449e8i | 0.136143 | − | 0.0989134i | ||||
\(215\) | 1.67504e9 | + | 2.30550e9i | 0.783921 | + | 1.07897i | ||||
\(216\) | −1.23461e9 | + | 4.01148e8i | −0.567170 | + | 0.184285i | ||||
\(217\) | −4.35991e9 | − | 1.41662e9i | −1.96625 | − | 0.638873i | ||||
\(218\) | −6.43695e8 | − | 4.67672e8i | −0.285006 | − | 0.207069i | ||||
\(219\) | − | 3.01134e9i | − | 1.30913i | ||||||
\(220\) | 5.89989e8 | + | 6.25762e8i | 0.251856 | + | 0.267127i | ||||
\(221\) | 1.69251e9 | 0.709517 | ||||||||
\(222\) | 2.41062e9 | − | 3.31793e9i | 0.992468 | − | 1.36601i | ||||
\(223\) | 4.78260e8 | − | 1.47193e9i | 0.193395 | − | 0.595207i | −0.806597 | − | 0.591102i | \(-0.798693\pi\) |
0.999992 | − | 0.00410562i | \(-0.00130686\pi\) | |||||||
\(224\) | −1.79483e8 | − | 5.52391e8i | −0.0712903 | − | 0.219409i | ||||
\(225\) | 1.88957e9 | − | 1.37285e9i | 0.737281 | − | 0.535666i | ||||
\(226\) | 6.85847e8 | + | 9.43988e8i | 0.262902 | + | 0.361853i | ||||
\(227\) | −4.95325e7 | + | 1.60941e7i | −0.0186546 | + | 0.00606126i | −0.318329 | − | 0.947980i | \(-0.603122\pi\) |
0.299675 | + | 0.954041i | \(0.403122\pi\) | |||||||
\(228\) | 2.52441e9 | + | 8.20231e8i | 0.934159 | + | 0.303527i | ||||
\(229\) | 3.00093e9 | + | 2.18030e9i | 1.09122 | + | 0.792821i | 0.979606 | − | 0.200930i | \(-0.0643964\pi\) |
0.111619 | + | 0.993751i | \(0.464396\pi\) | |||||||
\(230\) | 9.43990e8i | 0.337331i | ||||||||
\(231\) | −1.18891e9 | + | 6.30089e9i | −0.417541 | + | 2.21286i | ||||
\(232\) | 3.78458e8 | 0.130637 | ||||||||
\(233\) | 9.64932e8 | − | 1.32812e9i | 0.327396 | − | 0.450622i | −0.613311 | − | 0.789841i | \(-0.710163\pi\) |
0.940707 | + | 0.339219i | \(0.110163\pi\) | |||||||
\(234\) | 1.19038e9 | − | 3.66361e9i | 0.397029 | − | 1.22193i | ||||
\(235\) | 8.74357e8 | + | 2.69099e9i | 0.286693 | + | 0.882350i | ||||
\(236\) | −1.78686e9 | + | 1.29823e9i | −0.576027 | + | 0.418508i | ||||
\(237\) | −2.17353e9 | − | 2.99161e9i | −0.688926 | − | 0.948226i | ||||
\(238\) | 2.17446e9 | − | 7.06525e8i | 0.677710 | − | 0.220201i | ||||
\(239\) | −2.61947e9 | − | 8.51119e8i | −0.802828 | − | 0.260855i | −0.121271 | − | 0.992619i | \(-0.538697\pi\) |
−0.681557 | + | 0.731765i | \(0.738697\pi\) | |||||||
\(240\) | −8.50211e8 | − | 6.17714e8i | −0.256260 | − | 0.186184i | ||||
\(241\) | − | 2.38139e9i | − | 0.705931i | −0.935636 | − | 0.352966i | \(-0.885173\pi\) | ||
0.935636 | − | 0.352966i | \(-0.114827\pi\) | |||||||
\(242\) | 2.04245e9 | − | 1.30766e9i | 0.595510 | − | 0.381271i | ||||
\(243\) | 2.67488e8 | 0.0767148 | ||||||||
\(244\) | 7.12191e8 | − | 9.80247e8i | 0.200927 | − | 0.276552i | ||||
\(245\) | 5.74825e8 | − | 1.76913e9i | 0.159541 | − | 0.491015i | ||||
\(246\) | 1.60834e9 | + | 4.94996e9i | 0.439175 | + | 1.35164i | ||||
\(247\) | −3.14990e9 | + | 2.28854e9i | −0.846270 | + | 0.614851i | ||||
\(248\) | −1.24534e9 | − | 1.71407e9i | −0.329217 | − | 0.453128i | ||||
\(249\) | 3.94439e9 | − | 1.28161e9i | 1.02608 | − | 0.333394i | ||||
\(250\) | 2.81781e9 | + | 9.15563e8i | 0.721360 | + | 0.234384i | ||||
\(251\) | −5.84160e9 | − | 4.24417e9i | −1.47176 | − | 1.06930i | −0.980099 | − | 0.198508i | \(-0.936390\pi\) |
−0.491660 | − | 0.870787i | \(-0.663610\pi\) | |||||||
\(252\) | − | 5.20374e9i | − | 1.29037i | ||||||
\(253\) | 2.61577e9 | + | 4.93566e8i | 0.638437 | + | 0.120466i | ||||
\(254\) | −2.29341e9 | −0.550995 | ||||||||
\(255\) | 2.43160e9 | − | 3.34681e9i | 0.575085 | − | 0.791536i | ||||
\(256\) | 8.29511e7 | − | 2.55297e8i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −3.77457e7 | − | 1.16169e8i | −0.00865236 | − | 0.0266292i | 0.946637 | − | 0.322301i | \(-0.104456\pi\) |
−0.955289 | + | 0.295672i | \(0.904456\pi\) | |||||||
\(258\) | −7.94412e9 | + | 5.77174e9i | −1.79294 | + | 1.30265i | ||||
\(259\) | 4.77668e9 | + | 6.57454e9i | 1.06152 | + | 1.46105i | ||||
\(260\) | 1.46609e9 | − | 4.76361e8i | 0.320824 | − | 0.104242i | ||||
\(261\) | 3.22477e9 | + | 1.04779e9i | 0.694924 | + | 0.225795i | ||||
\(262\) | 4.58615e9 | + | 3.33203e9i | 0.973292 | + | 0.707138i | ||||
\(263\) | 1.93793e8i | 0.0405055i | 0.999795 | + | 0.0202527i | \(0.00644709\pi\) | ||||
−0.999795 | + | 0.0202527i | \(0.993553\pi\) | |||||||
\(264\) | −2.15620e9 | + | 2.03294e9i | −0.443889 | + | 0.418513i | ||||
\(265\) | −4.62066e9 | −0.936959 | ||||||||
\(266\) | −3.09151e9 | + | 4.25510e9i | −0.617510 | + | 0.849930i | ||||
\(267\) | 4.62373e8 | − | 1.42304e9i | 0.0909803 | − | 0.280009i | ||||
\(268\) | 3.67816e8 | + | 1.13202e9i | 0.0713002 | + | 0.219440i | ||||
\(269\) | −3.77561e9 | + | 2.74314e9i | −0.721070 | + | 0.523888i | −0.886726 | − | 0.462296i | \(-0.847026\pi\) |
0.165656 | + | 0.986184i | \(0.447026\pi\) | |||||||
\(270\) | −2.73569e9 | − | 3.76536e9i | −0.514769 | − | 0.708519i | ||||
\(271\) | −2.90452e9 | + | 9.43735e8i | −0.538514 | + | 0.174974i | −0.565631 | − | 0.824659i | \(-0.691367\pi\) |
0.0271172 | + | 0.999632i | \(0.491367\pi\) | |||||||
\(272\) | 1.00497e9 | + | 3.26533e8i | 0.183601 | + | 0.0596556i | ||||
\(273\) | 9.29806e9 | + | 6.75544e9i | 1.67395 | + | 1.21619i | ||||
\(274\) | − | 2.91361e9i | − | 0.516927i | ||||||
\(275\) | 1.26511e9 | − | 2.31216e9i | 0.221206 | − | 0.404285i | ||||
\(276\) | −3.25273e9 | −0.560547 | ||||||||
\(277\) | −1.39800e6 | + | 1.92418e6i | −0.000237459 | + | 0.000326834i | −0.809136 | − | 0.587622i | \(-0.800064\pi\) |
0.808898 | + | 0.587949i | \(0.200064\pi\) | |||||||
\(278\) | −1.64939e9 | + | 5.07629e9i | −0.276149 | + | 0.849899i | ||||
\(279\) | −5.86581e9 | − | 1.80531e10i | −0.968081 | − | 2.97945i | ||||
\(280\) | 1.68471e9 | − | 1.22401e9i | 0.274090 | − | 0.199138i | ||||
\(281\) | 4.10658e8 | + | 5.65223e8i | 0.0658651 | + | 0.0906555i | 0.840679 | − | 0.541534i | \(-0.182156\pi\) |
−0.774814 | + | 0.632190i | \(0.782156\pi\) | |||||||
\(282\) | −9.27242e9 | + | 3.01279e9i | −1.46621 | + | 0.476401i | ||||
\(283\) | −3.39423e9 | − | 1.10285e9i | −0.529171 | − | 0.171938i | 0.0322325 | − | 0.999480i | \(-0.489738\pi\) |
−0.561403 | + | 0.827542i | \(0.689738\pi\) | |||||||
\(284\) | −1.96606e9 | − | 1.42843e9i | −0.302221 | − | 0.219576i | ||||
\(285\) | 9.51657e9i | 1.44245i | ||||||||
\(286\) | −5.53438e8 | − | 4.31156e9i | −0.0827189 | − | 0.644422i | ||||
\(287\) | −1.03132e10 | −1.52008 | ||||||||
\(288\) | 1.41362e9 | − | 1.94569e9i | 0.205477 | − | 0.282815i | ||||
\(289\) | 8.70246e8 | − | 2.67834e9i | 0.124753 | − | 0.383950i | ||||
\(290\) | 4.19302e8 | + | 1.29048e9i | 0.0592836 | + | 0.182456i | ||||
\(291\) | 1.06580e10 | − | 7.74345e9i | 1.48628 | − | 1.07985i | ||||
\(292\) | 1.62098e9 | + | 2.23108e9i | 0.222969 | + | 0.306891i | ||||
\(293\) | 1.48389e9 | − | 4.82146e8i | 0.201341 | − | 0.0654196i | −0.206611 | − | 0.978423i | \(-0.566243\pi\) |
0.407951 | + | 0.913004i | \(0.366243\pi\) | |||||||
\(294\) | 6.09593e9 | + | 1.98069e9i | 0.815926 | + | 0.265110i | ||||
\(295\) | −6.40645e9 | − | 4.65456e9i | −0.845921 | − | 0.614597i | ||||
\(296\) | 3.75584e9i | 0.489261i | ||||||||
\(297\) | −1.18641e10 | + | 5.61181e9i | −1.52478 | + | 0.721236i | ||||
\(298\) | 2.50590e9 | 0.317760 | ||||||||
\(299\) | 2.80448e9 | − | 3.86003e9i | 0.350887 | − | 0.482954i | ||||
\(300\) | −9.95221e8 | + | 3.06298e9i | −0.122867 | + | 0.378145i | ||||
\(301\) | −6.01269e9 | − | 1.85051e10i | −0.732491 | − | 2.25438i | ||||
\(302\) | 6.42564e9 | − | 4.66850e9i | 0.772482 | − | 0.561241i | ||||
\(303\) | 6.62433e9 | + | 9.11761e9i | 0.785907 | + | 1.08171i | ||||
\(304\) | −2.31184e9 | + | 7.51162e8i | −0.270685 | + | 0.0879508i | ||||
\(305\) | 4.13153e9 | + | 1.34242e9i | 0.477432 | + | 0.155127i | ||||
\(306\) | 7.65910e9 | + | 5.56467e9i | 0.873559 | + | 0.634678i | ||||
\(307\) | 1.39571e10i | 1.57123i | 0.618713 | + | 0.785617i | \(0.287654\pi\) | ||||
−0.618713 | + | 0.785617i | \(0.712346\pi\) | |||||||
\(308\) | −2.51085e9 | − | 5.30826e9i | −0.279009 | − | 0.589860i | ||||
\(309\) | 1.06471e10 | 1.16788 | ||||||||
\(310\) | 4.46494e9 | − | 6.14547e9i | 0.483470 | − | 0.665439i | ||||
\(311\) | −4.84920e9 | + | 1.49243e10i | −0.518357 | + | 1.59534i | 0.258734 | + | 0.965949i | \(0.416695\pi\) |
−0.777091 | + | 0.629389i | \(0.783305\pi\) | |||||||
\(312\) | 1.64141e9 | + | 5.05174e9i | 0.173220 | + | 0.533117i | ||||
\(313\) | −4.53868e9 | + | 3.29755e9i | −0.472882 | + | 0.343569i | −0.798563 | − | 0.601911i | \(-0.794406\pi\) |
0.325682 | + | 0.945479i | \(0.394406\pi\) | |||||||
\(314\) | 4.49880e9 | + | 6.19207e9i | 0.462784 | + | 0.636967i | ||||
\(315\) | 1.77439e10 | − | 5.76534e9i | 1.80222 | − | 0.585575i | ||||
\(316\) | 3.22071e9 | + | 1.04647e9i | 0.323000 | + | 0.104949i | ||||
\(317\) | 1.01506e10 | + | 7.37486e9i | 1.00521 | + | 0.730326i | 0.963199 | − | 0.268791i | \(-0.0866241\pi\) |
0.0420093 | + | 0.999117i | \(0.486624\pi\) | |||||||
\(318\) | − | 1.59215e10i | − | 1.55695i | ||||||
\(319\) | 3.79511e9 | − | 4.87146e8i | 0.366490 | − | 0.0470431i | ||||
\(320\) | 9.62425e8 | 0.0917840 | ||||||||
\(321\) | −2.56282e9 | + | 3.52742e9i | −0.241378 | + | 0.332228i | ||||
\(322\) | 1.99172e9 | − | 6.12989e9i | 0.185270 | − | 0.570202i | ||||
\(323\) | −2.95691e9 | − | 9.10045e9i | −0.271662 | − | 0.836089i | ||||
\(324\) | 4.15927e9 | − | 3.02189e9i | 0.377431 | − | 0.274219i | ||||
\(325\) | −2.77678e9 | − | 3.82191e9i | −0.248890 | − | 0.342568i | ||||
\(326\) | −1.09648e10 | + | 3.56269e9i | −0.970804 | + | 0.315433i | ||||
\(327\) | 9.34837e9 | + | 3.03747e9i | 0.817608 | + | 0.265657i | ||||
\(328\) | −3.85612e9 | − | 2.80164e9i | −0.333162 | − | 0.242056i | ||||
\(329\) | − | 1.93190e10i | − | 1.64893i | ||||||
\(330\) | −9.32089e9 | − | 5.09996e9i | −0.785962 | − | 0.430042i | ||||
\(331\) | 1.19142e10 | 0.992553 | 0.496277 | − | 0.868164i | \(-0.334700\pi\) | ||||
0.496277 | + | 0.868164i | \(0.334700\pi\) | |||||||
\(332\) | −2.23249e9 | + | 3.07276e9i | −0.183754 | + | 0.252916i | ||||
\(333\) | −1.03984e10 | + | 3.20029e10i | −0.845646 | + | 2.60263i | ||||
\(334\) | 5.22388e8 | + | 1.60775e9i | 0.0419766 | + | 0.129191i | ||||
\(335\) | −3.45249e9 | + | 2.50838e9i | −0.274128 | + | 0.199165i | ||||
\(336\) | 4.21761e9 | + | 5.80504e9i | 0.330909 | + | 0.455458i | ||||
\(337\) | −2.37925e9 | + | 7.73065e8i | −0.184468 | + | 0.0599372i | −0.399794 | − | 0.916605i | \(-0.630918\pi\) |
0.215327 | + | 0.976542i | \(0.430918\pi\) | |||||||
\(338\) | 1.36711e9 | + | 4.44202e8i | 0.104746 | + | 0.0340340i | ||||
\(339\) | −1.16620e10 | − | 8.47295e9i | −0.883029 | − | 0.641558i | ||||
\(340\) | 3.78854e9i | 0.283502i | ||||||||
\(341\) | −1.46944e10 | − | 1.55854e10i | −1.08676 | − | 1.15266i | ||||
\(342\) | −2.17785e10 | −1.59193 | ||||||||
\(343\) | 3.15205e9 | − | 4.33842e9i | 0.227728 | − | 0.313441i | ||||
\(344\) | 2.77887e9 | − | 8.55248e9i | 0.198442 | − | 0.610743i | ||||
\(345\) | −3.60377e9 | − | 1.10913e10i | −0.254379 | − | 0.782897i | ||||
\(346\) | 6.06424e9 | − | 4.40593e9i | 0.423128 | − | 0.307421i | ||||
\(347\) | 1.76152e9 | + | 2.42453e9i | 0.121498 | + | 0.167228i | 0.865434 | − | 0.501023i | \(-0.167043\pi\) |
−0.743935 | + | 0.668252i | \(0.767043\pi\) | |||||||
\(348\) | −4.44663e9 | + | 1.44480e9i | −0.303189 | + | 0.0985122i | ||||
\(349\) | −3.88608e9 | − | 1.26266e9i | −0.261945 | − | 0.0851111i | 0.175100 | − | 0.984551i | \(-0.443975\pi\) |
−0.437045 | + | 0.899440i | \(0.643975\pi\) | |||||||
\(350\) | −5.16289e9 | − | 3.75106e9i | −0.344049 | − | 0.249967i | ||||
\(351\) | 2.35242e10i | 1.54984i | ||||||||
\(352\) | 5.03205e8 | − | 2.66685e9i | 0.0327774 | − | 0.173711i | ||||
\(353\) | 1.06293e10 | 0.684551 | 0.342275 | − | 0.939600i | \(-0.388802\pi\) | ||||
0.342275 | + | 0.939600i | \(0.388802\pi\) | |||||||
\(354\) | 1.60383e10 | − | 2.20749e10i | 1.02128 | − | 1.40568i | ||||
\(355\) | 2.69246e9 | − | 8.28654e9i | 0.169526 | − | 0.521747i | ||||
\(356\) | 4.23438e8 | + | 1.30321e9i | 0.0263627 | + | 0.0811361i | ||||
\(357\) | −2.28513e10 | + | 1.66024e10i | −1.40682 | + | 1.02211i | ||||
\(358\) | 3.43307e9 | + | 4.72522e9i | 0.209002 | + | 0.287667i | ||||
\(359\) | 7.12240e9 | − | 2.31421e9i | 0.428794 | − | 0.139324i | −0.0866658 | − | 0.996237i | \(-0.527621\pi\) |
0.515460 | + | 0.856914i | \(0.327621\pi\) | |||||||
\(360\) | 8.20066e9 | + | 2.66455e9i | 0.488246 | + | 0.158641i | ||||
\(361\) | 4.06824e9 | + | 2.95575e9i | 0.239540 | + | 0.174036i | ||||
\(362\) | − | 8.45872e9i | − | 0.492573i | ||||||
\(363\) | −1.90053e10 | + | 2.31614e10i | −1.09458 | + | 1.33395i | ||||
\(364\) | −1.05253e10 | −0.599552 | ||||||||
\(365\) | −5.81170e9 | + | 7.99912e9i | −0.327440 | + | 0.450682i | ||||
\(366\) | −4.62560e9 | + | 1.42361e10i | −0.257776 | + | 0.793354i | ||||
\(367\) | 3.55073e9 | + | 1.09280e10i | 0.195728 | + | 0.602390i | 0.999967 | + | 0.00808396i | \(0.00257323\pi\) |
−0.804239 | + | 0.594306i | \(0.797427\pi\) | |||||||
\(368\) | 2.40992e9 | − | 1.75091e9i | 0.131405 | − | 0.0954714i | ||||
\(369\) | −2.51008e10 | − | 3.45483e10i | −1.35388 | − | 1.86346i | ||||
\(370\) | −1.28068e10 | + | 4.16118e9i | −0.683335 | + | 0.222029i | ||||
\(371\) | 3.00047e10 | + | 9.74911e9i | 1.58377 | + | 0.514599i | ||||
\(372\) | 2.11756e10 | + | 1.53850e10i | 1.10577 | + | 0.803387i | ||||
\(373\) | 3.10435e10i | 1.60375i | 0.597494 | + | 0.801873i | \(0.296163\pi\) | ||||
−0.597494 | + | 0.801873i | \(0.703837\pi\) | |||||||
\(374\) | 1.04979e10 | + | 1.98084e9i | 0.536559 | + | 0.101243i | ||||
\(375\) | −3.66027e10 | −1.85092 | ||||||||
\(376\) | 5.24811e9 | − | 7.22341e9i | 0.262574 | − | 0.361402i | ||||
\(377\) | 2.11930e9 | − | 6.52253e9i | 0.104912 | − | 0.322887i | ||||
\(378\) | 9.81996e9 | + | 3.02227e10i | 0.480997 | + | 1.48036i | ||||
\(379\) | −1.39964e10 | + | 1.01690e10i | −0.678358 | + | 0.492856i | −0.872812 | − | 0.488056i | \(-0.837706\pi\) |
0.194455 | + | 0.980912i | \(0.437706\pi\) | |||||||
\(380\) | −5.12268e9 | − | 7.05076e9i | −0.245676 | − | 0.338144i | ||||
\(381\) | 2.69461e10 | − | 8.75532e9i | 1.27878 | − | 0.415501i | ||||
\(382\) | −1.72977e10 | − | 5.62035e9i | −0.812333 | − | 0.263943i | ||||
\(383\) | 1.44700e10 | + | 1.05131e10i | 0.672472 | + | 0.488580i | 0.870852 | − | 0.491546i | \(-0.163568\pi\) |
−0.198380 | + | 0.980125i | \(0.563568\pi\) | |||||||
\(384\) | 3.31625e9i | 0.152518i | ||||||||
\(385\) | 1.53184e10 | − | 1.44427e10i | 0.697223 | − | 0.657364i | ||||
\(386\) | 1.40166e10 | 0.631383 | ||||||||
\(387\) | 4.73565e10 | − | 6.51807e10i | 2.11123 | − | 2.90586i | ||||
\(388\) | −3.72817e9 | + | 1.14741e10i | −0.164501 | + | 0.506283i | ||||
\(389\) | −8.70665e9 | − | 2.67963e10i | −0.380235 | − | 1.17024i | −0.939878 | − | 0.341510i | \(-0.889062\pi\) |
0.559643 | − | 0.828734i | \(-0.310938\pi\) | |||||||
\(390\) | −1.54070e10 | + | 1.11939e10i | −0.665979 | + | 0.483862i | ||||
\(391\) | 6.89238e9 | + | 9.48655e9i | 0.294892 | + | 0.405883i | ||||
\(392\) | −5.58262e9 | + | 1.81390e9i | −0.236425 | + | 0.0768191i | ||||
\(393\) | −6.66046e10 | − | 2.16411e10i | −2.79212 | − | 0.907215i | ||||
\(394\) | 3.26314e9 | + | 2.37081e9i | 0.135410 | + | 0.0983813i | ||||
\(395\) | 1.21415e10i | 0.498751i | ||||||||
\(396\) | 1.16711e10 | − | 2.13306e10i | 0.474605 | − | 0.867407i | ||||
\(397\) | 2.34205e10 | 0.942831 | 0.471416 | − | 0.881911i | \(-0.343743\pi\) | ||||
0.471416 | + | 0.881911i | \(0.343743\pi\) | |||||||
\(398\) | −6.52548e9 | + | 8.98155e9i | −0.260064 | + | 0.357947i | ||||
\(399\) | 2.00790e10 | − | 6.17967e10i | 0.792228 | − | 2.43823i | ||||
\(400\) | −9.11417e8 | − | 2.80505e9i | −0.0356022 | − | 0.109572i | ||||
\(401\) | 4.07013e9 | − | 2.95712e9i | 0.157409 | − | 0.114365i | −0.506292 | − | 0.862362i | \(-0.668984\pi\) |
0.663702 | + | 0.747997i | \(0.268984\pi\) | |||||||
\(402\) | −8.64318e9 | − | 1.18963e10i | −0.330955 | − | 0.455521i | ||||
\(403\) | −3.65148e10 | + | 1.18644e10i | −1.38436 | + | 0.449806i | ||||
\(404\) | −9.81584e9 | − | 3.18936e9i | −0.368470 | − | 0.119723i | ||||
\(405\) | 1.49123e10 | + | 1.08344e10i | 0.554273 | + | 0.402703i | ||||
\(406\) | − | 9.26452e9i | − | 0.340972i | ||||||
\(407\) | 4.83447e9 | + | 3.76630e10i | 0.176186 | + | 1.37258i | ||||
\(408\) | −1.30543e10 | −0.471098 | ||||||||
\(409\) | −5.29737e9 | + | 7.29120e9i | −0.189307 | + | 0.260559i | −0.893112 | − | 0.449835i | \(-0.851483\pi\) |
0.703805 | + | 0.710393i | \(0.251483\pi\) | |||||||
\(410\) | 5.28083e9 | − | 1.62527e10i | 0.186882 | − | 0.575163i | ||||
\(411\) | 1.11230e10 | + | 3.42330e10i | 0.389810 | + | 1.19971i | ||||
\(412\) | −7.88838e9 | + | 5.73124e9i | −0.273778 | + | 0.198911i | ||||
\(413\) | 3.17802e10 | + | 4.37418e10i | 1.09234 | + | 1.50347i | ||||
\(414\) | 2.53821e10 | − | 8.24715e9i | 0.864025 | − | 0.280739i | ||||
\(415\) | −1.29510e10 | − | 4.20804e9i | −0.436628 | − | 0.141869i | ||||
\(416\) | −3.93541e9 | − | 2.85924e9i | −0.131406 | − | 0.0954723i | ||||
\(417\) | − | 6.59398e10i | − | 2.18074i | ||||||
\(418\) | −2.22159e10 | + | 1.05083e10i | −0.727710 | + | 0.344213i | ||||
\(419\) | 5.95217e10 | 1.93117 | 0.965583 | − | 0.260097i | \(-0.0837545\pi\) | ||||
0.965583 | + | 0.260097i | \(0.0837545\pi\) | |||||||
\(420\) | −1.51214e10 | + | 2.08129e10i | −0.485955 | + | 0.668859i | ||||
\(421\) | −1.19830e9 | + | 3.68800e9i | −0.0381451 | + | 0.117398i | −0.968316 | − | 0.249729i | \(-0.919659\pi\) |
0.930171 | + | 0.367127i | \(0.119659\pi\) | |||||||
\(422\) | 1.15634e10 | + | 3.55885e10i | 0.364616 | + | 1.12217i | ||||
\(423\) | 6.47169e10 | − | 4.70196e10i | 2.02142 | − | 1.46865i | ||||
\(424\) | 8.57039e9 | + | 1.17961e10i | 0.265178 | + | 0.364986i | ||||
\(425\) | 1.10420e10 | − | 3.58775e9i | 0.338447 | − | 0.109968i | ||||
\(426\) | 2.85531e10 | + | 9.27748e9i | 0.866993 | + | 0.281703i | ||||
\(427\) | −2.39961e10 | − | 1.74342e10i | −0.721821 | − | 0.524434i | ||||
\(428\) | − | 3.99298e9i | − | 0.118993i | ||||||
\(429\) | 2.29623e10 | + | 4.85452e10i | 0.677932 | + | 1.43323i | ||||
\(430\) | 3.22413e10 | 0.943059 | ||||||||
\(431\) | −2.77890e10 | + | 3.82483e10i | −0.805312 | + | 1.10842i | 0.186717 | + | 0.982414i | \(0.440215\pi\) |
−0.992030 | + | 0.126004i | \(0.959785\pi\) | |||||||
\(432\) | −4.53847e9 | + | 1.39680e10i | −0.130309 | + | 0.401050i | ||||
\(433\) | −2.59893e9 | − | 7.99870e9i | −0.0739339 | − | 0.227545i | 0.907260 | − | 0.420570i | \(-0.138170\pi\) |
−0.981194 | + | 0.193025i | \(0.938170\pi\) | |||||||
\(434\) | −4.19598e10 | + | 3.04856e10i | −1.18270 | + | 0.859282i | ||||
\(435\) | −9.85304e9 | − | 1.35615e10i | −0.275178 | − | 0.378750i | ||||
\(436\) | −8.56118e9 | + | 2.78170e9i | −0.236912 | + | 0.0769775i | ||||
\(437\) | −2.56545e10 | − | 8.33566e9i | −0.703458 | − | 0.228567i | ||||
\(438\) | −2.75628e10 | − | 2.00255e10i | −0.748904 | − | 0.544111i | ||||
\(439\) | − | 5.15925e9i | − | 0.138908i | −0.997585 | − | 0.0694542i | \(-0.977874\pi\) | ||
0.997585 | − | 0.0694542i | \(-0.0221258\pi\) | |||||||
\(440\) | 9.65103e9 | − | 1.23882e9i | 0.257492 | − | 0.0330520i | ||||
\(441\) | −5.25905e10 | −1.39044 | ||||||||
\(442\) | 1.12553e10 | − | 1.54915e10i | 0.294895 | − | 0.405888i | ||||
\(443\) | 2.59142e9 | − | 7.97557e9i | 0.0672857 | − | 0.207084i | −0.911761 | − | 0.410722i | \(-0.865277\pi\) |
0.979046 | + | 0.203638i | \(0.0652766\pi\) | |||||||
\(444\) | −1.43383e10 | − | 4.41287e10i | −0.368948 | − | 1.13551i | ||||
\(445\) | −3.97459e9 | + | 2.88771e9i | −0.101357 | + | 0.0736399i | ||||
\(446\) | −1.02921e10 | − | 1.41659e10i | −0.260115 | − | 0.358018i | ||||
\(447\) | −2.94427e10 | + | 9.56651e9i | −0.737475 | + | 0.239620i | ||||
\(448\) | −6.24959e9 | − | 2.03062e9i | −0.155146 | − | 0.0504099i | ||||
\(449\) | 3.39361e10 | + | 2.46560e10i | 0.834981 | + | 0.606649i | 0.920964 | − | 0.389647i | \(-0.127403\pi\) |
−0.0859832 | + | 0.996297i | \(0.527403\pi\) | |||||||
\(450\) | − | 2.64247e10i | − | 0.644407i | ||||||
\(451\) | −4.22748e10 | − | 2.31308e10i | −1.02182 | − | 0.559093i | ||||
\(452\) | 1.32012e10 | 0.316271 | ||||||||
\(453\) | −5.76746e10 | + | 7.93823e10i | −1.36959 | + | 1.88508i | ||||
\(454\) | −1.82084e8 | + | 5.60396e8i | −0.00428596 | + | 0.0131908i | ||||
\(455\) | −1.16612e10 | − | 3.58894e10i | −0.272080 | − | 0.837375i | ||||
\(456\) | 2.42950e10 | − | 1.76513e10i | 0.561897 | − | 0.408242i | ||||
\(457\) | −1.14101e9 | − | 1.57047e9i | −0.0261592 | − | 0.0360051i | 0.795737 | − | 0.605642i | \(-0.207084\pi\) |
−0.821896 | + | 0.569637i | \(0.807084\pi\) | |||||||
\(458\) | 3.99126e10 | − | 1.29684e10i | 0.907084 | − | 0.294730i | ||||
\(459\) | −5.49842e10 | − | 1.78655e10i | −1.23876 | − | 0.402498i | ||||
\(460\) | 8.64033e9 | + | 6.27757e9i | 0.192974 | + | 0.140204i | ||||
\(461\) | − | 3.51919e10i | − | 0.779183i | −0.920988 | − | 0.389591i | \(-0.872616\pi\) | ||
0.920988 | − | 0.389591i | \(-0.127384\pi\) | |||||||
\(462\) | 4.97656e10 | + | 5.27831e10i | 1.09235 | + | 1.15858i | ||||
\(463\) | 4.06408e10 | 0.884378 | 0.442189 | − | 0.896922i | \(-0.354202\pi\) | ||||
0.442189 | + | 0.896922i | \(0.354202\pi\) | |||||||
\(464\) | 2.51676e9 | − | 3.46402e9i | 0.0542962 | − | 0.0747323i | ||||
\(465\) | −2.89993e10 | + | 8.92505e10i | −0.620262 | + | 1.90897i | ||||
\(466\) | −5.73939e9 | − | 1.76640e10i | −0.121709 | − | 0.374581i | ||||
\(467\) | −4.40225e10 | + | 3.19842e10i | −0.925566 | + | 0.672463i | −0.944903 | − | 0.327350i | \(-0.893845\pi\) |
0.0193369 | + | 0.999813i | \(0.493845\pi\) | |||||||
\(468\) | −2.56169e10 | − | 3.52586e10i | −0.534002 | − | 0.734991i | ||||
\(469\) | 2.77115e10 | − | 9.00400e9i | 0.572754 | − | 0.186099i | ||||
\(470\) | 3.04451e10 | + | 9.89222e9i | 0.623916 | + | 0.202723i | ||||
\(471\) | −7.64968e10 | − | 5.55781e10i | −1.55439 | − | 1.12933i | ||||
\(472\) | 2.49884e10i | 0.503466i | ||||||||
\(473\) | 1.68574e10 | − | 8.93398e10i | 0.336780 | − | 1.78484i | ||||
\(474\) | −4.18362e10 | −0.828780 | ||||||||
\(475\) | −1.56988e10 | + | 2.16075e10i | −0.308383 | + | 0.424453i | ||||
\(476\) | 7.99342e9 | − | 2.46012e10i | 0.155706 | − | 0.479213i | ||||
\(477\) | 4.03683e10 | + | 1.24241e11i | 0.779770 | + | 2.39989i | ||||
\(478\) | −2.52099e10 | + | 1.83160e10i | −0.482902 | + | 0.350849i | ||||
\(479\) | 3.02469e10 | + | 4.16313e10i | 0.574565 | + | 0.790821i | 0.993086 | − | 0.117386i | \(-0.0374514\pi\) |
−0.418521 | + | 0.908207i | \(0.637451\pi\) | |||||||
\(480\) | −1.13079e10 | + | 3.67415e9i | −0.213018 | + | 0.0692136i | ||||
\(481\) | 6.47301e10 | + | 2.10321e10i | 1.20928 | + | 0.392918i | ||||
\(482\) | −2.17968e10 | − | 1.58363e10i | −0.403836 | − | 0.293404i | ||||
\(483\) | 7.96257e10i | 1.46307i | ||||||||
\(484\) | 1.61331e9 | − | 2.73905e10i | 0.0293993 | − | 0.499135i | ||||
\(485\) | −4.32554e10 | −0.781760 | ||||||||
\(486\) | 1.77880e9 | − | 2.44831e9i | 0.0318847 | − | 0.0438856i | ||||
\(487\) | 2.93717e10 | − | 9.03969e10i | 0.522172 | − | 1.60708i | −0.247668 | − | 0.968845i | \(-0.579664\pi\) |
0.769841 | − | 0.638236i | \(-0.220336\pi\) | |||||||
\(488\) | −4.23609e9 | − | 1.30374e10i | −0.0746941 | − | 0.229885i | ||||
\(489\) | 1.15229e11 | − | 8.37186e10i | 2.01523 | − | 1.46415i | ||||
\(490\) | −1.23702e10 | − | 1.70261e10i | −0.214582 | − | 0.295346i | ||||
\(491\) | −8.07978e10 | + | 2.62528e10i | −1.39019 | + | 0.451700i | −0.906005 | − | 0.423267i | \(-0.860883\pi\) |
−0.484183 | + | 0.874966i | \(0.660883\pi\) | |||||||
\(492\) | 5.60024e10 | + | 1.81963e10i | 0.955754 | + | 0.310543i | ||||
\(493\) | 1.36359e10 | + | 9.90709e9i | 0.230833 | + | 0.167710i | ||||
\(494\) | 4.40498e10i | 0.739667i | ||||||||
\(495\) | 8.56646e10 | + | 1.61639e10i | 1.42686 | + | 0.269232i | ||||
\(496\) | −2.39704e10 | −0.396049 | ||||||||
\(497\) | −3.49675e10 | + | 4.81286e10i | −0.573111 | + | 0.788820i | ||||
\(498\) | 1.44998e10 | − | 4.46257e10i | 0.235745 | − | 0.725550i | ||||
\(499\) | −5.48745e8 | − | 1.68886e9i | −0.00885051 | − | 0.0272391i | 0.946534 | − | 0.322605i | \(-0.104558\pi\) |
−0.955384 | + | 0.295366i | \(0.904558\pi\) | |||||||
\(500\) | 2.71187e10 | − | 1.97029e10i | 0.433899 | − | 0.315246i | ||||
\(501\) | −1.22754e10 | − | 1.68957e10i | −0.194843 | − | 0.268179i | ||||
\(502\) | −7.76936e10 | + | 2.52442e10i | −1.22341 | + | 0.397508i | ||||
\(503\) | 5.19060e10 | + | 1.68653e10i | 0.810860 | + | 0.263464i | 0.684962 | − | 0.728579i | \(-0.259819\pi\) |
0.125898 | + | 0.992043i | \(0.459819\pi\) | |||||||
\(504\) | −4.76298e10 | − | 3.46051e10i | −0.738170 | − | 0.536312i | ||||
\(505\) | − | 3.70039e10i | − | 0.568961i | ||||||
\(506\) | 2.19126e10 | − | 2.06599e10i | 0.334265 | − | 0.315156i | ||||
\(507\) | −1.77584e10 | −0.268765 | ||||||||
\(508\) | −1.52513e10 | + | 2.09916e10i | −0.229008 | + | 0.315203i | ||||
\(509\) | 1.75211e10 | − | 5.39243e10i | 0.261029 | − | 0.803365i | −0.731552 | − | 0.681785i | \(-0.761204\pi\) |
0.992582 | − | 0.121580i | \(-0.0387962\pi\) | |||||||
\(510\) | −1.44631e10 | − | 4.45128e10i | −0.213787 | − | 0.657968i | ||||
\(511\) | 5.46161e10 | − | 3.96809e10i | 0.801008 | − | 0.581967i | ||||
\(512\) | −1.78510e9 | − | 2.45699e9i | −0.0259767 | − | 0.0357538i | ||||
\(513\) | 1.26487e11 | − | 4.10980e10i | 1.82631 | − | 0.593406i | ||||
\(514\) | −1.31430e9 | − | 4.27044e8i | −0.0188297 | − | 0.00611814i | ||||
\(515\) | −2.82823e10 | − | 2.05483e10i | −0.402055 | − | 0.292110i | ||||
\(516\) | 1.11095e11i | 1.56709i | ||||||||
\(517\) | 4.33293e10 | − | 7.91904e10i | 0.606484 | − | 1.10844i | ||||
\(518\) | 9.19418e10 | 1.27701 | ||||||||
\(519\) | −5.44308e10 | + | 7.49175e10i | −0.750197 | + | 1.03256i | ||||
\(520\) | 5.38941e9 | − | 1.65869e10i | 0.0737103 | − | 0.226857i | ||||
\(521\) | 3.42308e9 | + | 1.05351e10i | 0.0464586 | + | 0.142985i | 0.971595 | − | 0.236650i | \(-0.0760496\pi\) |
−0.925136 | + | 0.379635i | \(0.876050\pi\) | |||||||
\(522\) | 3.10353e10 | − | 2.25485e10i | 0.417997 | − | 0.303693i | ||||
\(523\) | −3.56571e10 | − | 4.90777e10i | −0.476583 | − | 0.655960i | 0.501261 | − | 0.865296i | \(-0.332870\pi\) |
−0.977844 | + | 0.209336i | \(0.932870\pi\) | |||||||
\(524\) | 6.09961e10 | − | 1.98188e10i | 0.809053 | − | 0.262877i | ||||
\(525\) | 7.49806e10 | + | 2.43627e10i | 0.986988 | + | 0.320692i | ||||
\(526\) | 1.77378e9 | + | 1.28873e9i | 0.0231716 | + | 0.0168352i | ||||
\(527\) | − | 9.43583e10i | − | 1.22331i | ||||||
\(528\) | 4.26863e9 | + | 3.32548e10i | 0.0549228 | + | 0.427877i | ||||
\(529\) | −4.52549e10 | −0.577887 | ||||||||
\(530\) | −3.07275e10 | + | 4.22928e10i | −0.389425 | + | 0.535998i | ||||
\(531\) | −6.91825e10 | + | 2.12922e11i | −0.870198 | + | 2.67819i | ||||
\(532\) | 1.83882e10 | + | 5.65931e10i | 0.229558 | + | 0.706507i | ||||
\(533\) | −6.98784e10 | + | 5.07696e10i | −0.865833 | + | 0.629064i | ||||
\(534\) | −9.95024e9 | − | 1.36953e10i | −0.122368 | − | 0.168425i | ||||
\(535\) | 1.36154e10 | − | 4.42391e9i | 0.166194 | − | 0.0539996i | ||||
\(536\) | 1.28073e10 | + | 4.16136e9i | 0.155167 | + | 0.0504169i | ||||
\(537\) | −5.83753e10 | − | 4.24122e10i | −0.701992 | − | 0.510027i | ||||
\(538\) | 5.28000e10i | 0.630238i | ||||||||
\(539\) | −5.36467e10 | + | 2.53754e10i | −0.635606 | + | 0.300647i | ||||
\(540\) | −5.26567e10 | −0.619268 | ||||||||
\(541\) | −1.80579e10 | + | 2.48546e10i | −0.210804 | + | 0.290147i | −0.901305 | − | 0.433184i | \(-0.857390\pi\) |
0.690501 | + | 0.723331i | \(0.257390\pi\) | |||||||
\(542\) | −1.06771e10 | + | 3.28609e10i | −0.123725 | + | 0.380787i | ||||
\(543\) | 3.22919e10 | + | 9.93844e10i | 0.371445 | + | 1.14319i | ||||
\(544\) | 9.67180e9 | − | 7.02698e9i | 0.110436 | − | 0.0802367i | ||||
\(545\) | −1.89702e10 | − | 2.61103e10i | −0.215024 | − | 0.295955i | ||||
\(546\) | 1.23665e11 | − | 4.01811e10i | 1.39148 | − | 0.452118i | ||||
\(547\) | 5.14353e10 | + | 1.67123e10i | 0.574529 | + | 0.186676i | 0.581848 | − | 0.813297i | \(-0.302330\pi\) |
−0.00731923 | + | 0.999973i | \(0.502330\pi\) | |||||||
\(548\) | −2.66682e10 | − | 1.93756e10i | −0.295714 | − | 0.214849i | ||||
\(549\) | − | 1.22817e11i | − | 1.35198i | ||||||
\(550\) | −1.27502e10 | − | 2.69555e10i | −0.139337 | − | 0.294575i | ||||
\(551\) | −3.87734e10 | −0.420657 | ||||||||
\(552\) | −2.16308e10 | + | 2.97722e10i | −0.232978 | + | 0.320667i | ||||
\(553\) | 2.56173e10 | − | 7.88419e10i | 0.273925 | − | 0.843056i | ||||
\(554\) | 8.31526e6 | + | 2.55917e7i | 8.82748e−5 | + | 0.000271682i | ||||
\(555\) | 1.34586e11 | − | 9.77823e10i | 1.41849 | − | 1.03060i | ||||
\(556\) | 3.54947e10 | + | 4.88543e10i | 0.371420 | + | 0.511215i | ||||
\(557\) | −5.95643e10 | + | 1.93536e10i | −0.618821 | + | 0.201067i | −0.601617 | − | 0.798785i | \(-0.705477\pi\) |
−0.0172042 | + | 0.999852i | \(0.505477\pi\) | |||||||
\(558\) | −2.04248e11 | − | 6.63641e10i | −2.10679 | − | 0.684536i | ||||
\(559\) | −1.31837e11 | − | 9.57848e10i | −1.35017 | − | 0.980956i | ||||
\(560\) | − | 2.35598e10i | − | 0.239563i | ||||||
\(561\) | −1.30906e11 | + | 1.68033e10i | −1.32162 | + | 0.169645i | ||||
\(562\) | 7.90436e9 | 0.0792358 | ||||||||
\(563\) | 6.42246e10 | − | 8.83976e10i | 0.639246 | − | 0.879846i | −0.359329 | − | 0.933211i | \(-0.616995\pi\) |
0.998575 | + | 0.0533645i | \(0.0169945\pi\) | |||||||
\(564\) | −3.40858e10 | + | 1.04905e11i | −0.336866 | + | 1.03677i | ||||
\(565\) | 1.46259e10 | + | 4.50139e10i | 0.143525 | + | 0.441726i | ||||
\(566\) | −3.26661e10 | + | 2.37333e10i | −0.318297 | + | 0.231256i | ||||
\(567\) | −7.39748e10 | − | 1.01818e11i | −0.715734 | − | 0.985123i | ||||
\(568\) | −2.61488e10 | + | 8.49626e9i | −0.251222 | + | 0.0816271i | ||||
\(569\) | −1.63420e11 | − | 5.30982e10i | −1.55903 | − | 0.506560i | −0.602483 | − | 0.798132i | \(-0.705822\pi\) |
−0.956549 | + | 0.291572i | \(0.905822\pi\) | |||||||
\(570\) | 8.71050e10 | + | 6.32855e10i | 0.825171 | + | 0.599522i | ||||
\(571\) | 9.48939e10i | 0.892676i | 0.894864 | + | 0.446338i | \(0.147272\pi\) | ||||
−0.894864 | + | 0.446338i | \(0.852728\pi\) | |||||||
\(572\) | −4.31440e10 | − | 2.36064e10i | −0.403029 | − | 0.220519i | ||||
\(573\) | 2.24692e11 | 2.08435 | ||||||||
\(574\) | −6.85831e10 | + | 9.43965e10i | −0.631785 | + | 0.869578i | ||||
\(575\) | 1.01140e10 | − | 3.11277e10i | 0.0925235 | − | 0.284758i | ||||
\(576\) | −8.40820e9 | − | 2.58778e10i | −0.0763858 | − | 0.235091i | ||||
\(577\) | −5.63509e10 | + | 4.09413e10i | −0.508391 | + | 0.369367i | −0.812213 | − | 0.583361i | \(-0.801737\pi\) |
0.303822 | + | 0.952729i | \(0.401737\pi\) | |||||||
\(578\) | −1.87277e10 | − | 2.57764e10i | −0.167792 | − | 0.230946i | ||||
\(579\) | −1.64685e11 | + | 5.35096e10i | −1.46535 | + | 0.476121i | ||||
\(580\) | 1.46001e10 | + | 4.74386e9i | 0.129016 | + | 0.0419198i | ||||
\(581\) | 7.52201e10 | + | 5.46506e10i | 0.660130 | + | 0.479613i | ||||
\(582\) | − | 1.49046e11i | − | 1.29906i | ||||||
\(583\) | 1.01126e11 | + | 1.07258e11i | 0.875367 | + | 0.928443i | ||||
\(584\) | 3.12006e10 | 0.268232 | ||||||||
\(585\) | 9.18445e10 | − | 1.26413e11i | 0.784205 | − | 1.07937i | ||||
\(586\) | 5.45486e9 | − | 1.67883e10i | 0.0462586 | − | 0.142369i | ||||
\(587\) | 5.61367e6 | + | 1.72771e7i | 4.72818e−5 | + | 0.000145519i | 0.951080 | − | 0.308944i | \(-0.0999756\pi\) |
−0.951033 | + | 0.309090i | \(0.899976\pi\) | |||||||
\(588\) | 5.86673e10 | − | 4.26243e10i | 0.490780 | − | 0.356573i | ||||
\(589\) | 1.27587e11 | + | 1.75608e11i | 1.06009 | + | 1.45909i | ||||
\(590\) | −8.52062e10 | + | 2.76852e10i | −0.703175 | + | 0.228475i | ||||
\(591\) | −4.73906e10 | − | 1.53981e10i | −0.388456 | − | 0.126217i | ||||
\(592\) | 3.43772e10 | + | 2.49765e10i | 0.279887 | + | 0.203350i | ||||
\(593\) | 1.12222e11i | 0.907529i | 0.891122 | + | 0.453764i | \(0.149919\pi\) | ||||
−0.891122 | + | 0.453764i | \(0.850081\pi\) | |||||||
\(594\) | −2.75316e10 | + | 1.45910e11i | −0.221150 | + | 1.17203i | ||||
\(595\) | 9.27421e10 | 0.739961 | ||||||||
\(596\) | 1.66643e10 | − | 2.29365e10i | 0.132069 | − | 0.181778i | ||||
\(597\) | 4.23822e10 | − | 1.30439e11i | 0.333646 | − | 1.02686i | ||||
\(598\) | −1.66809e10 | − | 5.13386e10i | −0.130441 | − | 0.401458i | ||||
\(599\) | −1.08879e11 | + | 7.91053e10i | −0.845741 | + | 0.614467i | −0.923968 | − | 0.382469i | \(-0.875074\pi\) |
0.0782274 | + | 0.996936i | \(0.475074\pi\) | |||||||
\(600\) | 2.14171e10 | + | 2.94781e10i | 0.165255 | + | 0.227455i | ||||
\(601\) | 4.77918e10 | − | 1.55285e10i | 0.366316 | − | 0.119023i | −0.120074 | − | 0.992765i | \(-0.538313\pi\) |
0.486390 | + | 0.873742i | \(0.338313\pi\) | |||||||
\(602\) | −2.09362e11 | − | 6.80258e10i | −1.59408 | − | 0.517950i | ||||
\(603\) | 9.76081e10 | + | 7.09164e10i | 0.738272 | + | 0.536386i | ||||
\(604\) | − | 8.98594e10i | − | 0.675174i | ||||||
\(605\) | 9.51843e10 | − | 2.48454e10i | 0.710467 | − | 0.185449i | ||||
\(606\) | 1.27505e11 | 0.945448 | ||||||||
\(607\) | 6.67009e10 | − | 9.18059e10i | 0.491334 | − | 0.676263i | −0.489299 | − | 0.872116i | \(-0.662747\pi\) |
0.980633 | + | 0.195853i | \(0.0627474\pi\) | |||||||
\(608\) | −8.49843e9 | + | 2.61555e10i | −0.0621906 | + | 0.191403i | ||||
\(609\) | 3.53682e10 | + | 1.08852e11i | 0.257124 | + | 0.791348i | ||||
\(610\) | 3.97619e10 | − | 2.88887e10i | 0.287176 | − | 0.208646i | ||||
\(611\) | −9.51033e10 | − | 1.30898e11i | −0.682387 | − | 0.939225i | ||||
\(612\) | 1.01867e11 | − | 3.30985e10i | 0.726149 | − | 0.235940i | ||||
\(613\) | 4.79185e10 | + | 1.55697e10i | 0.339360 | + | 0.110265i | 0.473739 | − | 0.880665i | \(-0.342904\pi\) |
−0.134379 | + | 0.990930i | \(0.542904\pi\) | |||||||
\(614\) | 1.27749e11 | + | 9.28150e10i | 0.898843 | + | 0.653047i | ||||
\(615\) | 2.11119e11i | 1.47580i | ||||||||
\(616\) | −6.52836e10 | − | 1.23183e10i | −0.453400 | − | 0.0855514i | ||||
\(617\) | −6.99646e9 | −0.0482767 | −0.0241384 | − | 0.999709i | \(-0.507684\pi\) | ||||
−0.0241384 | + | 0.999709i | \(0.507684\pi\) | |||||||
\(618\) | 7.08037e10 | − | 9.74529e10i | 0.485403 | − | 0.668099i | ||||
\(619\) | 5.45105e9 | − | 1.67766e10i | 0.0371294 | − | 0.114272i | −0.930774 | − | 0.365595i | \(-0.880866\pi\) |
0.967903 | + | 0.251323i | \(0.0808655\pi\) | |||||||
\(620\) | −2.65573e10 | − | 8.17351e10i | −0.179729 | − | 0.553149i | ||||
\(621\) | −1.31853e11 | + | 9.57969e10i | −0.886593 | + | 0.644147i | ||||
\(622\) | 1.04355e11 | + | 1.43632e11i | 0.697188 | + | 0.959597i | ||||
\(623\) | 3.19021e10 | − | 1.03656e10i | 0.211771 | − | 0.0688087i | ||||
\(624\) | 5.71539e10 | + | 1.85704e10i | 0.376971 | + | 0.122485i | ||||
\(625\) | 4.03393e10 | + | 2.93082e10i | 0.264368 | + | 0.192075i | ||||
\(626\) | 6.34713e10i | 0.413314i | ||||||||
\(627\) | 2.20905e11 | − | 2.08277e11i | 1.42934 | − | 1.34763i | ||||
\(628\) | 8.65931e10 | 0.556730 | ||||||||
\(629\) | −9.83187e10 | + | 1.35324e11i | −0.628107 | + | 0.864515i | ||||
\(630\) | 6.52274e10 | − | 2.00749e11i | 0.414064 | − | 1.27436i | ||||
\(631\) | −5.56452e10 | − | 1.71258e11i | −0.351002 | − | 1.08027i | −0.958291 | − | 0.285793i | \(-0.907743\pi\) |
0.607289 | − | 0.794481i | \(-0.292257\pi\) | |||||||
\(632\) | 3.09962e10 | − | 2.25200e10i | 0.194285 | − | 0.141156i | ||||
\(633\) | −2.71724e11 | − | 3.73997e11i | −1.69244 | − | 2.32945i | ||||
\(634\) | 1.35004e11 | − | 4.38655e10i | 0.835583 | − | 0.271497i | ||||
\(635\) | −8.84750e10 | − | 2.87473e10i | −0.544159 | − | 0.176808i | ||||
\(636\) | −1.45729e11 | − | 1.05879e11i | −0.890674 | − | 0.647112i | ||||
\(637\) | 1.06371e11i | 0.646050i | ||||||||
\(638\) | 2.07788e10 | − | 3.79761e10i | 0.125411 | − | 0.229207i | ||||
\(639\) | −2.46332e11 | −1.47747 | ||||||||
\(640\) | 6.40015e9 | − | 8.80906e9i | 0.0381479 | − | 0.0525061i | ||||
\(641\) | 2.47028e10 | − | 7.60273e10i | 0.146323 | − | 0.450337i | −0.850856 | − | 0.525400i | \(-0.823916\pi\) |
0.997179 | + | 0.0750630i | \(0.0239158\pi\) | |||||||
\(642\) | 1.52436e10 | + | 4.69148e10i | 0.0897318 | + | 0.276166i | ||||
\(643\) | −2.15847e11 | + | 1.56822e11i | −1.26271 | + | 0.917411i | −0.998887 | − | 0.0471610i | \(-0.984983\pi\) |
−0.263820 | + | 0.964572i | \(0.584983\pi\) | |||||||
\(644\) | −4.28617e10 | − | 5.89941e10i | −0.249188 | − | 0.342977i | ||||
\(645\) | −3.78814e11 | + | 1.23084e11i | −2.18871 | + | 0.711153i | ||||
\(646\) | −1.02960e11 | − | 3.34537e10i | −0.591204 | − | 0.192094i | ||||
\(647\) | 1.98055e11 | + | 1.43895e11i | 1.13023 | + | 0.821162i | 0.985729 | − | 0.168342i | \(-0.0538413\pi\) |
0.144504 | + | 0.989504i | \(0.453841\pi\) | |||||||
\(648\) | − | 5.81654e10i | − | 0.329887i | ||||||
\(649\) | 3.21647e10 | + | 2.50579e11i | 0.181301 | + | 1.41243i | ||||
\(650\) | −5.34475e10 | −0.299415 | ||||||||
\(651\) | 3.76619e11 | − | 5.18371e11i | 2.09690 | − | 2.88614i | ||||
\(652\) | −4.03072e10 | + | 1.24053e11i | −0.223045 | + | 0.686462i | ||||
\(653\) | 3.75635e10 | + | 1.15608e11i | 0.206592 | + | 0.635824i | 0.999644 | + | 0.0266707i | \(0.00849057\pi\) |
−0.793053 | + | 0.609153i | \(0.791509\pi\) | |||||||
\(654\) | 8.99689e10 | − | 6.53662e10i | 0.491792 | − | 0.357308i | ||||
\(655\) | 1.35158e11 | + | 1.86029e11i | 0.734304 | + | 1.01068i | ||||
\(656\) | −5.12866e10 | + | 1.66640e10i | −0.276942 | + | 0.0899839i | ||||
\(657\) | 2.65855e11 | + | 8.63815e10i | 1.42687 | + | 0.463617i | ||||
\(658\) | −1.76827e11 | − | 1.28472e11i | −0.943287 | − | 0.685338i | ||||
\(659\) | − | 2.46959e11i | − | 1.30943i | −0.755876 | − | 0.654715i | \(-0.772789\pi\) | ||
0.755876 | − | 0.654715i | \(-0.227211\pi\) | |||||||
\(660\) | −1.08664e11 | + | 5.13990e10i | −0.572677 | + | 0.270881i | ||||
\(661\) | −1.81261e11 | −0.949509 | −0.474755 | − | 0.880118i | \(-0.657463\pi\) | ||||
−0.474755 | + | 0.880118i | \(0.657463\pi\) | |||||||
\(662\) | 7.92300e10 | − | 1.09051e11i | 0.412532 | − | 0.567802i | ||||
\(663\) | −7.31016e10 | + | 2.24984e11i | −0.378332 | + | 1.16438i | ||||
\(664\) | 1.32788e10 | + | 4.08679e10i | 0.0683103 | + | 0.210237i | ||||
\(665\) | −1.72600e11 | + | 1.25401e11i | −0.882581 | + | 0.641233i | ||||
\(666\) | 2.23772e11 | + | 3.07996e11i | 1.13739 | + | 1.56548i | ||||
\(667\) | 4.51892e10 | − | 1.46829e10i | 0.228313 | − | 0.0741835i | ||||
\(668\) | 1.81896e10 | + | 5.91015e9i | 0.0913516 | + | 0.0296819i | ||||
\(669\) | 1.75005e11 | + | 1.27149e11i | 0.873669 | + | 0.634758i | ||||
\(670\) | 4.82814e10i | 0.239596i | ||||||||
\(671\) | −5.92603e10 | − | 1.25284e11i | −0.292330 | − | 0.618023i | ||||
\(672\) | 8.11806e10 | 0.398085 | ||||||||
\(673\) | 8.61904e9 | − | 1.18631e10i | 0.0420144 | − | 0.0578279i | −0.787493 | − | 0.616324i | \(-0.788621\pi\) |
0.829507 | + | 0.558496i | \(0.188621\pi\) | |||||||
\(674\) | −8.74623e9 | + | 2.69181e10i | −0.0423820 | + | 0.130438i | ||||
\(675\) | 4.98660e10 | + | 1.53472e11i | 0.240209 | + | 0.739288i | ||||
\(676\) | 1.31571e10 | − | 9.55920e9i | 0.0630048 | − | 0.0457757i | ||||
\(677\) | 1.02258e10 | + | 1.40746e10i | 0.0486790 | + | 0.0670009i | 0.832663 | − | 0.553781i | \(-0.186815\pi\) |
−0.783984 | + | 0.620782i | \(0.786815\pi\) | |||||||
\(678\) | −1.55106e11 | + | 5.03968e10i | −0.734021 | + | 0.238498i | ||||
\(679\) | 2.80883e11 | + | 9.12644e10i | 1.32144 | + | 0.429361i | ||||
\(680\) | 3.46764e10 | + | 2.51939e10i | 0.162180 | + | 0.117831i | ||||
\(681\) | − | 7.27941e9i | − | 0.0338460i | ||||||
\(682\) | −2.40371e11 | + | 3.08544e10i | −1.11108 | + | 0.142620i | ||||
\(683\) | 2.59965e11 | 1.19463 | 0.597313 | − | 0.802008i | \(-0.296235\pi\) | ||||
0.597313 | + | 0.802008i | \(0.296235\pi\) | |||||||
\(684\) | −1.44827e11 | + | 1.99338e11i | −0.661647 | + | 0.910679i | ||||
\(685\) | 3.65212e10 | − | 1.12401e11i | 0.165876 | − | 0.510513i | ||||
\(686\) | −1.87483e10 | − | 5.77013e10i | −0.0846575 | − | 0.260549i | ||||
\(687\) | −4.19438e11 | + | 3.04740e11i | −1.88296 | + | 1.36805i | ||||
\(688\) | −5.98011e10 | − | 8.23092e10i | −0.266904 | − | 0.367362i | ||||
\(689\) | 2.51293e11 | − | 8.16501e10i | 1.11507 | − | 0.362310i | ||||
\(690\) | −1.25483e11 | − | 4.07720e10i | −0.553592 | − | 0.179873i | ||||
\(691\) | −1.54784e11 | − | 1.12457e11i | −0.678914 | − | 0.493260i | 0.194083 | − | 0.980985i | \(-0.437827\pi\) |
−0.872997 | + | 0.487725i | \(0.837827\pi\) | |||||||
\(692\) | − | 8.48054e10i | − | 0.369828i | ||||||
\(693\) | −5.22167e11 | − | 2.85705e11i | −2.26400 | − | 1.23875i | ||||
\(694\) | 3.39059e10 | 0.146163 | ||||||||
\(695\) | −1.27260e11 | + | 1.75158e11i | −0.545446 | + | 0.750742i | ||||
\(696\) | −1.63460e10 | + | 5.03079e10i | −0.0696587 | + | 0.214387i | ||||
\(697\) | −6.55972e10 | − | 2.01887e11i | −0.277942 | − | 0.855417i | ||||
\(698\) | −3.73997e10 | + | 2.71725e10i | −0.157560 | + | 0.114474i | ||||
\(699\) | 1.34868e11 | + | 1.85630e11i | 0.564937 | + | 0.777570i | ||||
\(700\) | −6.86668e10 | + | 2.23112e10i | −0.285992 | + | 0.0929246i | ||||
\(701\) | −4.72699e10 | − | 1.53589e10i | −0.195755 | − | 0.0636046i | 0.209499 | − | 0.977809i | \(-0.432817\pi\) |
−0.405254 | + | 0.914204i | \(0.632817\pi\) | |||||||
\(702\) | 2.15316e11 | + | 1.56436e11i | 0.886602 | + | 0.644154i | ||||
\(703\) | − | 3.84790e11i | − | 1.57544i | ||||||
\(704\) | −2.10633e10 | − | 2.23405e10i | −0.0857504 | − | 0.0909498i | ||||
\(705\) | −3.95474e11 | −1.60089 | ||||||||
\(706\) | 7.06851e10 | − | 9.72897e10i | 0.284518 | − | 0.391605i | ||||
\(707\) | −7.80744e10 | + | 2.40288e11i | −0.312486 | + | 0.961734i | ||||
\(708\) | −9.53955e10 | − | 2.93597e11i | −0.379660 | − | 1.16847i | ||||
\(709\) | 2.42339e11 | − | 1.76069e11i | 0.959043 | − | 0.696785i | 0.00611446 | − | 0.999981i | \(-0.498054\pi\) |
0.952928 | + | 0.303196i | \(0.0980537\pi\) | |||||||
\(710\) | −5.79416e10 | − | 7.97498e10i | −0.228012 | − | 0.313831i | ||||
\(711\) | 3.26462e11 | − | 1.06074e11i | 1.27748 | − | 0.415078i | ||||
\(712\) | 1.47441e10 | + | 4.79066e9i | 0.0573719 | + | 0.0186413i | ||||
\(713\) | −2.15198e11 | − | 1.56351e11i | −0.832685 | − | 0.604981i | ||||
\(714\) | 3.19564e11i | 1.22960i | ||||||||
\(715\) | 3.26937e10 | − | 1.73268e11i | 0.125095 | − | 0.662970i | ||||
\(716\) | 6.60799e10 | 0.251430 | ||||||||
\(717\) | 2.26276e11 | − | 3.11442e11i | 0.856174 | − | 1.17842i | ||||
\(718\) | 2.61823e10 | − | 8.05807e10i | 0.0985166 | − | 0.303203i | ||||
\(719\) | −7.02282e10 | − | 2.16140e11i | −0.262782 | − | 0.808761i | −0.992196 | − | 0.124688i | \(-0.960207\pi\) |
0.729414 | − | 0.684073i | \(-0.239793\pi\) | |||||||
\(720\) | 7.89232e10 | − | 5.73411e10i | 0.293680 | − | 0.213371i | ||||
\(721\) | 1.40299e11 | + | 1.93105e11i | 0.519174 | + | 0.714582i | ||||
\(722\) | 5.41079e10 | − | 1.75807e10i | 0.199119 | − | 0.0646975i | ||||
\(723\) | 3.16555e11 | + | 1.02855e11i | 1.15850 | + | 0.376419i | ||||
\(724\) | −7.74225e10 | − | 5.62507e10i | −0.281782 | − | 0.204726i | ||||
\(725\) | − | 4.70454e10i | − | 0.170281i | ||||||
\(726\) | 8.56103e10 | + | 3.27979e11i | 0.308162 | + | 1.18059i | ||||
\(727\) | −3.41077e11 | −1.22100 | −0.610498 | − | 0.792018i | \(-0.709031\pi\) | ||||
−0.610498 | + | 0.792018i | \(0.709031\pi\) | |||||||
\(728\) | −6.99933e10 | + | 9.63375e10i | −0.249190 | + | 0.342981i | ||||
\(729\) | −9.29864e10 | + | 2.86183e11i | −0.329238 | + | 1.01329i | ||||
\(730\) | 3.45678e10 | + | 1.06389e11i | 0.121725 | + | 0.374632i | ||||
\(731\) | 3.24006e11 | − | 2.35404e11i | 1.13471 | − | 0.824413i | ||||
\(732\) | 9.95426e10 | + | 1.37009e11i | 0.346709 | + | 0.477203i | ||||
\(733\) | −1.95945e11 | + | 6.36665e10i | −0.678764 | + | 0.220544i | −0.628054 | − | 0.778170i | \(-0.716148\pi\) |
−0.0507098 | + | 0.998713i | \(0.516148\pi\) | |||||||
\(734\) | 1.23637e11 | + | 4.01720e10i | 0.425954 | + | 0.138401i | ||||
\(735\) | 2.10341e11 | + | 1.52821e11i | 0.720732 | + | 0.523642i | ||||
\(736\) | − | 3.37016e10i | − | 0.114852i | ||||||
\(737\) | 1.33786e11 | + | 2.52440e10i | 0.453463 | + | 0.0855633i | ||||
\(738\) | −4.83141e11 | −1.62873 | ||||||||
\(739\) | −1.84958e11 | + | 2.54572e11i | −0.620147 | + | 0.853559i | −0.997364 | − | 0.0725663i | \(-0.976881\pi\) |
0.377217 | + | 0.926125i | \(0.376881\pi\) | |||||||
\(740\) | −4.70784e10 | + | 1.44892e11i | −0.156998 | + | 0.483191i | ||||
\(741\) | −1.68164e11 | − | 5.17556e11i | −0.557777 | − | 1.71666i | ||||
\(742\) | 2.88765e11 | − | 2.09800e11i | 0.952642 | − | 0.692135i | ||||
\(743\) | 6.69623e10 | + | 9.21657e10i | 0.219723 | + | 0.302422i | 0.904621 | − | 0.426216i | \(-0.140154\pi\) |
−0.684899 | + | 0.728638i | \(0.740154\pi\) | |||||||
\(744\) | 2.81637e11 | − | 9.15093e10i | 0.919173 | − | 0.298657i | ||||
\(745\) | 9.66723e10 | + | 3.14107e10i | 0.313817 | + | 0.101965i | ||||
\(746\) | 2.84141e11 | + | 2.06440e11i | 0.917441 | + | 0.666560i | ||||
\(747\) | 3.84992e11i | 1.23643i | ||||||||
\(748\) | 8.79422e10 | − | 8.29148e10i | 0.280925 | − | 0.264866i | ||||
\(749\) | −9.77467e10 | −0.310581 | ||||||||
\(750\) | −2.43409e11 | + | 3.35024e11i | −0.769293 | + | 1.05884i | ||||
\(751\) | 5.21656e10 | − | 1.60549e11i | 0.163993 | − | 0.504718i | −0.834968 | − | 0.550299i | \(-0.814514\pi\) |
0.998961 | + | 0.0455810i | \(0.0145139\pi\) | |||||||
\(752\) | −3.12156e10 | − | 9.60718e10i | −0.0976114 | − | 0.300417i | ||||
\(753\) | 8.16477e11 | − | 5.93205e11i | 2.53959 | − | 1.84512i | ||||
\(754\) | −4.56072e10 | − | 6.27729e10i | −0.141107 | − | 0.194217i | ||||
\(755\) | 3.06406e11 | − | 9.95572e10i | 0.942994 | − | 0.306397i | ||||
\(756\) | 3.41931e11 | + | 1.11100e11i | 1.04677 | + | 0.340116i | ||||
\(757\) | −2.99433e11 | − | 2.17550e11i | −0.911833 | − | 0.662486i | 0.0296444 | − | 0.999561i | \(-0.490562\pi\) |
−0.941478 | + | 0.337075i | \(0.890562\pi\) | |||||||
\(758\) | 1.95733e11i | 0.592906i | ||||||||
\(759\) | −1.78587e11 | + | 3.26393e11i | −0.538125 | + | 0.983499i | ||||
\(760\) | −9.86015e10 | −0.295549 | ||||||||
\(761\) | 2.14889e11 | − | 2.95769e11i | 0.640731 | − | 0.881890i | −0.357923 | − | 0.933751i | \(-0.616515\pi\) |
0.998654 | + | 0.0518606i | \(0.0165151\pi\) | |||||||
\(762\) | 9.90552e10 | − | 3.04861e11i | 0.293804 | − | 0.904235i | ||||
\(763\) | 6.80950e10 | + | 2.09575e11i | 0.200917 | + | 0.618359i | ||||
\(764\) | −1.66473e11 | + | 1.20950e11i | −0.488619 | + | 0.355002i | ||||
\(765\) | 2.25720e11 | + | 3.10677e11i | 0.659060 | + | 0.907119i | ||||
\(766\) | 1.92452e11 | − | 6.25316e10i | 0.558995 | − | 0.181629i | ||||
\(767\) | 4.30662e11 | + | 1.39931e11i | 1.24439 | + | 0.404326i | ||||
\(768\) | 3.03536e10 | + | 2.20532e10i | 0.0872499 | + | 0.0633908i | ||||
\(769\) | − | 1.08067e11i | − | 0.309022i | −0.987991 | − | 0.154511i | \(-0.950620\pi\) | ||
0.987991 | − | 0.154511i | \(-0.0493802\pi\) | |||||||
\(770\) | −3.03259e10 | − | 2.36254e11i | −0.0862682 | − | 0.672073i | ||||
\(771\) | 1.70725e10 | 0.0483147 | ||||||||
\(772\) | 9.32106e10 | − | 1.28293e11i | 0.262420 | − | 0.361190i | ||||
\(773\) | −1.24822e11 | + | 3.84161e11i | −0.349600 | + | 1.07596i | 0.609475 | + | 0.792806i | \(0.291380\pi\) |
−0.959075 | + | 0.283153i | \(0.908620\pi\) | |||||||
\(774\) | −2.81675e11 | − | 8.66907e11i | −0.784847 | − | 2.41551i | ||||
\(775\) | −2.13073e11 | + | 1.54806e11i | −0.590638 | + | 0.429124i | ||||
\(776\) | 8.02301e10 | + | 1.10427e11i | 0.221254 | + | 0.304530i | ||||
\(777\) | −1.08026e12 | + | 3.50996e11i | −2.96375 | + | 0.962982i | ||||
\(778\) | −3.03166e11 | − | 9.85045e10i | −0.827488 | − | 0.268867i | ||||
\(779\) | 3.95064e11 | + | 2.87031e11i | 1.07280 | + | 0.779432i | ||||
\(780\) | 2.15460e11i | 0.582087i | ||||||||
\(781\) | −2.51279e11 | + | 1.18857e11i | −0.675387 | + | 0.319464i | ||||
\(782\) | 1.32665e11 | 0.354755 | ||||||||
\(783\) | −1.37698e11 | + | 1.89525e11i | −0.366337 | + | 0.504220i | ||||
\(784\) | −2.05220e10 | + | 6.31601e10i | −0.0543193 | + | 0.167178i | ||||
\(785\) | 9.59384e10 | + | 2.95268e11i | 0.252647 | + | 0.777567i | ||||
\(786\) | −6.41004e11 | + | 4.65717e11i | −1.67946 | + | 1.22020i | ||||
\(787\) | −4.10970e11 | − | 5.65652e11i | −1.07130 | − | 1.47452i | −0.868752 | − | 0.495247i | \(-0.835077\pi\) |
−0.202549 | − | 0.979272i | \(-0.564923\pi\) | |||||||
\(788\) | 4.34000e10 | − | 1.41015e10i | 0.112560 | − | 0.0365730i | ||||
\(789\) | −2.57606e10 | − | 8.37012e9i | −0.0664733 | − | 0.0215985i | ||||
\(790\) | 1.11131e11 | + | 8.07413e10i | 0.285316 | + | 0.207294i | ||||
\(791\) | − | 3.23161e11i | − | 0.825492i | ||||||
\(792\) | −1.17625e11 | − | 2.48675e11i | −0.298952 | − | 0.632021i | ||||
\(793\) | −2.48414e11 | −0.628178 | ||||||||
\(794\) | 1.55747e11 | − | 2.14367e11i | 0.391866 | − | 0.539357i | ||||
\(795\) | 1.99572e11 | − | 6.14218e11i | 0.499609 | − | 1.53764i | ||||
\(796\) | 3.88133e10 | + | 1.19455e11i | 0.0966782 | + | 0.297545i | ||||
\(797\) | −3.37538e10 | + | 2.45236e10i | −0.0836545 | + | 0.0607786i | −0.628826 | − | 0.777546i | \(-0.716464\pi\) |
0.545172 | + | 0.838324i | \(0.316464\pi\) | |||||||
\(798\) | −4.32099e11 | − | 5.94733e11i | −1.06554 | − | 1.46660i | ||||
\(799\) | 3.78182e11 | − | 1.22879e11i | 0.927926 | − | 0.301502i | ||||
\(800\) | −3.17356e10 | − | 1.03115e10i | −0.0774794 | − | 0.0251746i | ||||
\(801\) | 1.12369e11 | + | 8.16407e10i | 0.272971 | + | 0.198325i | ||||
\(802\) | − | 5.69188e10i | − | 0.137581i | ||||||
\(803\) | 3.12874e11 | − | 4.01610e10i | 0.752502 | − | 0.0965922i | ||||
\(804\) | −1.66364e11 | −0.398140 | ||||||||
\(805\) | 1.53673e11 | − | 2.11512e11i | 0.365943 | − | 0.503677i | ||||
\(806\) | −1.34230e11 | + | 4.13118e11i | −0.318061 | + | 0.978890i | ||||
\(807\) | −2.01569e11 | − | 6.20365e11i | −0.475258 | − | 1.46269i | ||||
\(808\) | −9.44678e10 | + | 6.86348e10i | −0.221635 | + | 0.161027i | ||||
\(809\) | 3.75074e11 | + | 5.16245e11i | 0.875634 | + | 1.20521i | 0.977611 | + | 0.210420i | \(0.0674831\pi\) |
−0.101977 | + | 0.994787i | \(0.532517\pi\) | |||||||
\(810\) | 1.98334e11 | − | 6.44427e10i | 0.460742 | − | 0.149704i | ||||
\(811\) | −3.19473e11 | − | 1.03803e11i | −0.738501 | − | 0.239953i | −0.0844748 | − | 0.996426i | \(-0.526921\pi\) |
−0.654026 | + | 0.756472i | \(0.726921\pi\) | |||||||
\(812\) | −8.47980e10 | − | 6.16093e10i | −0.195057 | − | 0.141717i | ||||
\(813\) | − | 4.26854e11i | − | 0.977052i | ||||||
\(814\) | 3.76878e11 | + | 2.06210e11i | 0.858426 | + | 0.469691i | ||||
\(815\) | −4.67657e11 | −1.05998 | ||||||||
\(816\) | −8.68112e10 | + | 1.19485e11i | −0.195801 | + | 0.269497i | ||||
\(817\) | −2.84698e11 | + | 8.76211e11i | −0.638994 | + | 1.96662i | ||||
\(818\) | 3.15086e10 | + | 9.69734e10i | 0.0703745 | + | 0.216590i | ||||
\(819\) | −8.63119e11 | + | 6.27093e11i | −1.91838 | + | 1.39379i | ||||
\(820\) | −1.13643e11 | − | 1.56416e11i | −0.251355 | − | 0.345961i | ||||
\(821\) | −2.66388e11 | + | 8.65546e10i | −0.586329 | + | 0.190510i | −0.587134 | − | 0.809490i | \(-0.699744\pi\) |
0.000804948 | 1.00000i | \(0.499744\pi\) | ||||||||
\(822\) | 3.87302e11 | + | 1.25842e11i | 0.848325 | + | 0.275638i | ||||
\(823\) | −1.68952e11 | − | 1.22751e11i | −0.368269 | − | 0.267563i | 0.388224 | − | 0.921565i | \(-0.373089\pi\) |
−0.756493 | + | 0.654002i | \(0.773089\pi\) | |||||||
\(824\) | 1.10315e11i | 0.239291i | ||||||||
\(825\) | 2.52711e11 | + | 2.68034e11i | 0.545517 | + | 0.578594i | ||||
\(826\) | 6.11707e11 | 1.31408 | ||||||||
\(827\) | −4.67627e11 | + | 6.43634e11i | −0.999718 | + | 1.37599i | −0.0742205 | + | 0.997242i | \(0.523647\pi\) |
−0.925498 | + | 0.378753i | \(0.876353\pi\) | |||||||
\(828\) | 9.33058e10 | − | 2.87166e11i | 0.198512 | − | 0.610958i | ||||
\(829\) | 1.77790e11 | + | 5.47183e11i | 0.376435 | + | 1.15855i | 0.942505 | + | 0.334191i | \(0.108463\pi\) |
−0.566070 | + | 0.824357i | \(0.691537\pi\) | |||||||
\(830\) | −1.24641e11 | + | 9.05569e10i | −0.262632 | + | 0.190814i | ||||
\(831\) | −1.95398e8 | − | 2.68942e8i | −0.000409746 | − | 0.000563967i | ||||
\(832\) | −5.23412e10 | + | 1.70067e10i | −0.109232 | + | 0.0354917i | ||||
\(833\) | −2.48627e11 | − | 8.07837e10i | −0.516378 | − | 0.167781i | ||||
\(834\) | −6.03546e11 | − | 4.38502e11i | −1.24752 | − | 0.906373i | ||||
\(835\) | 6.85713e10i | 0.141058i | ||||||||
\(836\) | −5.15539e10 | + | 2.73222e11i | −0.105545 | + | 0.559359i | ||||
\(837\) | 1.31148e12 | 2.67215 | ||||||||
\(838\) | 3.95821e11 | − | 5.44801e11i | 0.802644 | − | 1.10474i | ||||
\(839\) | 4.73799e10 | − | 1.45820e11i | 0.0956194 | − | 0.294286i | −0.891795 | − | 0.452439i | \(-0.850554\pi\) |
0.987415 | + | 0.158153i | \(0.0505539\pi\) | |||||||
\(840\) | 8.99418e10 | + | 2.76812e11i | 0.180653 | + | 0.555992i | ||||
\(841\) | −3.49454e11 | + | 2.53893e11i | −0.698564 | + | 0.507536i | ||||
\(842\) | 2.57874e10 | + | 3.54934e10i | 0.0513050 | + | 0.0706153i | ||||
\(843\) | −9.28711e10 | + | 3.01756e10i | −0.183895 | + | 0.0597511i | ||||
\(844\) | 4.02637e11 | + | 1.30825e11i | 0.793495 | + | 0.257822i | ||||
\(845\) | 4.71723e10 | + | 3.42727e10i | 0.0925253 | + | 0.0672235i | ||||
\(846\) | − | 9.05034e11i | − | 1.76678i | ||||||
\(847\) | −6.70509e11 | − | 3.94934e10i | −1.30278 | − | 0.0767345i | ||||
\(848\) | 1.64963e11 | 0.319010 | ||||||||
\(849\) | 2.93201e11 | − | 4.03557e11i | 0.564333 | − | 0.776738i | ||||
\(850\) | 4.05908e10 | − | 1.24926e11i | 0.0777592 | − | 0.239318i | ||||
\(851\) | 1.45714e11 | + | 4.48461e11i | 0.277832 | + | 0.855079i | ||||
\(852\) | 2.74796e11 | − | 1.99651e11i | 0.521497 | − | 0.378890i | ||||
\(853\) | 3.97783e11 | + | 5.47502e11i | 0.751364 | + | 1.03416i | 0.997884 | + | 0.0650261i | \(0.0207131\pi\) |
−0.246519 | + | 0.969138i | \(0.579287\pi\) | |||||||
\(854\) | −3.19150e11 | + | 1.03698e11i | −0.600017 | + | 0.194957i | ||||
\(855\) | −8.40166e11 | − | 2.72987e11i | −1.57217 | − | 0.510830i | ||||
\(856\) | −3.65476e10 | − | 2.65534e10i | −0.0680713 | − | 0.0494567i | ||||
\(857\) | − | 6.23598e11i | − | 1.15606i | −0.816015 | − | 0.578031i | \(-0.803821\pi\) | ||
0.816015 | − | 0.578031i | \(-0.196179\pi\) | |||||||
\(858\) | 5.97033e11 | + | 1.12653e11i | 1.10166 | + | 0.207872i | ||||
\(859\) | −8.88179e11 | −1.63128 | −0.815639 | − | 0.578561i | \(-0.803614\pi\) | ||||
−0.815639 | + | 0.578561i | \(0.803614\pi\) | |||||||
\(860\) | 2.14406e11 | − | 2.95104e11i | 0.391961 | − | 0.539487i | ||||
\(861\) | 4.45439e11 | − | 1.37092e12i | 0.810542 | − | 2.49459i | ||||
\(862\) | 1.65288e11 | + | 5.08705e11i | 0.299373 | + | 0.921376i | ||||
\(863\) | 7.51468e11 | − | 5.45973e11i | 1.35478 | − | 0.984302i | 0.356017 | − | 0.934479i | \(-0.384134\pi\) |
0.998758 | − | 0.0498227i | \(-0.0158656\pi\) | |||||||
\(864\) | 9.76676e10 | + | 1.34428e11i | 0.175265 | + | 0.241232i | ||||
\(865\) | 2.89172e11 | − | 9.39578e10i | 0.516526 | − | 0.167830i | ||||
\(866\) | −9.04949e10 | − | 2.94036e10i | −0.160899 | − | 0.0522792i | ||||
\(867\) | 3.18441e11 | + | 2.31361e11i | 0.563577 | + | 0.409463i | ||||
\(868\) | 5.86787e11i | 1.03372i | ||||||||
\(869\) | 2.81837e11 | − | 2.65725e11i | 0.494218 | − | 0.465965i | ||||
\(870\) | −1.89652e11 | −0.331039 | ||||||||
\(871\) | 1.43438e11 | − | 1.97425e11i | 0.249225 | − | 0.343028i | ||||
\(872\) | −3.14713e10 | + | 9.68587e10i | −0.0544313 | + | 0.167522i | ||||
\(873\) | 3.77900e11 | + | 1.16306e12i | 0.650609 | + | 2.00237i | ||||
\(874\) | −2.46899e11 | + | 1.79383e11i | −0.423130 | + | 0.307422i | ||||
\(875\) | −4.82320e11 | − | 6.63856e11i | −0.822816 | − | 1.13251i | ||||
\(876\) | −3.66586e11 | + | 1.19111e11i | −0.622529 | + | 0.202272i | ||||
\(877\) | −8.85990e10 | − | 2.87875e10i | −0.149772 | − | 0.0486638i | 0.233172 | − | 0.972436i | \(-0.425090\pi\) |
−0.382943 | + | 0.923772i | \(0.625090\pi\) | |||||||
\(878\) | −4.72225e10 | − | 3.43092e10i | −0.0794641 | − | 0.0577341i | ||||
\(879\) | 2.18076e11i | 0.365302i | ||||||||
\(880\) | 5.28408e10 | − | 9.65739e10i | 0.0881127 | − | 0.161038i | ||||
\(881\) | −7.51292e10 | −0.124711 | −0.0623555 | − | 0.998054i | \(-0.519861\pi\) | ||||
−0.0623555 | + | 0.998054i | \(0.519861\pi\) | |||||||
\(882\) | −3.49728e11 | + | 4.81360e11i | −0.577905 | + | 0.795418i | ||||
\(883\) | 2.67850e11 | − | 8.24359e11i | 0.440605 | − | 1.35604i | −0.446627 | − | 0.894720i | \(-0.647375\pi\) |
0.887232 | − | 0.461323i | \(-0.152625\pi\) | |||||||
\(884\) | −6.69460e10 | − | 2.06039e11i | −0.109626 | − | 0.337396i | ||||
\(885\) | 8.95426e11 | − | 6.50565e11i | 1.45968 | − | 1.06052i | ||||
\(886\) | −5.57672e10 | − | 7.67570e10i | −0.0904991 | − | 0.124561i | ||||
\(887\) | 5.35997e11 | − | 1.74156e11i | 0.865900 | − | 0.281348i | 0.157810 | − | 0.987470i | \(-0.449557\pi\) |
0.708091 | + | 0.706122i | \(0.249557\pi\) | |||||||
\(888\) | −4.99259e11 | − | 1.62219e11i | −0.802923 | − | 0.260886i | ||||
\(889\) | 5.13867e11 | + | 3.73346e11i | 0.822704 | + | 0.597729i | ||||
\(890\) | 5.55827e10i | 0.0885889i | ||||||||
\(891\) | −7.48697e10 | − | 5.83273e11i | −0.118794 | − | 0.925467i | ||||
\(892\) | −1.98103e11 | −0.312919 | ||||||||
\(893\) | −5.37675e11 | + | 7.40046e11i | −0.845501 | + | 1.16373i | ||||
\(894\) | −1.08233e11 | + | 3.33106e11i | −0.169437 | + | 0.521473i | ||||
\(895\) | 7.32114e10 | + | 2.25321e11i | 0.114100 | + | 0.351164i | ||||
\(896\) | −6.01462e10 | + | 4.36987e10i | −0.0933202 | + | 0.0678011i | ||||
\(897\) | 3.91980e11 | + | 5.39514e11i | 0.605472 | + | 0.833361i | ||||
\(898\) | 4.51352e11 | − | 1.46653e11i | 0.694081 | − | 0.225521i | ||||
\(899\) | −3.63634e11 | − | 1.18152e11i | −0.556706 | − | 0.180885i | ||||
\(900\) | −2.41865e11 | − | 1.75725e11i | −0.368641 | − | 0.267833i | ||||
\(901\) | 6.49370e11i | 0.985355i | ||||||||
\(902\) | −4.92844e11 | + | 2.33120e11i | −0.744532 | + | 0.352170i | ||||
\(903\) | 2.71956e12 | 4.09023 | ||||||||
\(904\) | 8.77884e10 | − | 1.20830e11i | 0.131451 | − | 0.180927i | ||||
\(905\) | 1.06028e11 | − | 3.26319e11i | 0.158061 | − | 0.486461i | ||||
\(906\) | 3.43047e11 | + | 1.05579e12i | 0.509144 | + | 1.56698i | ||||
\(907\) | −3.98195e11 | + | 2.89306e11i | −0.588393 | + | 0.427492i | −0.841740 | − | 0.539883i | \(-0.818468\pi\) |
0.253347 | + | 0.967375i | \(0.418468\pi\) | |||||||
\(908\) | 3.91843e9 | + | 5.39326e9i | 0.00576460 | + | 0.00793429i | ||||
\(909\) | −9.94965e11 | + | 3.23284e11i | −1.45731 | + | 0.473509i | ||||
\(910\) | −4.06042e11 | − | 1.31931e11i | −0.592114 | − | 0.192389i | ||||
\(911\) | 8.00259e11 | + | 5.81422e11i | 1.16187 | + | 0.844147i | 0.990013 | − | 0.140975i | \(-0.0450238\pi\) |
0.171856 | + | 0.985122i | \(0.445024\pi\) | |||||||
\(912\) | − | 3.39753e11i | − | 0.491116i | ||||||
\(913\) | 1.85762e11 | + | 3.92724e11i | 0.267346 | + | 0.565203i | ||||
\(914\) | −2.19622e10 | −0.0314696 | ||||||||
\(915\) | −3.56891e11 | + | 4.91219e11i | −0.509157 | + | 0.700794i | ||||
\(916\) | 1.46720e11 | − | 4.51559e11i | 0.208405 | − | 0.641406i | ||||
\(917\) | −4.85158e11 | − | 1.49316e12i | −0.686129 | − | 2.11169i | ||||
\(918\) | −5.29169e11 | + | 3.84464e11i | −0.745116 | + | 0.541358i | ||||
\(919\) | −5.39015e11 | − | 7.41891e11i | −0.755682 | − | 1.04011i | −0.997561 | − | 0.0698008i | \(-0.977764\pi\) |
0.241879 | − | 0.970306i | \(-0.422236\pi\) | |||||||
\(920\) | 1.14917e11 | − | 3.73388e10i | 0.160410 | − | 0.0521205i | ||||
\(921\) | −1.85530e12 | − | 6.02822e11i | −2.57854 | − | 0.837820i | ||||
\(922\) | −3.22111e11 | − | 2.34027e11i | −0.445740 | − | 0.323849i | ||||
\(923\) | 4.98239e11i | 0.686484i | ||||||||
\(924\) | 8.14066e11 | − | 1.04495e11i | 1.11679 | − | 0.143353i | ||||
\(925\) | 4.66882e11 | 0.637735 | ||||||||
\(926\) | 2.70262e11 | − | 3.71984e11i | 0.367571 | − | 0.505918i | ||||
\(927\) | −3.05417e11 | + | 9.39976e11i | −0.413594 | + | 1.27291i | ||||
\(928\) | −1.49696e10 | − | 4.60717e10i | −0.0201845 | − | 0.0621215i | ||||
\(929\) | 7.78464e11 | − | 5.65587e11i | 1.04514 | − | 0.759341i | 0.0738599 | − | 0.997269i | \(-0.476468\pi\) |
0.971283 | + | 0.237928i | \(0.0764682\pi\) | |||||||
\(930\) | 6.24063e11 | + | 8.58948e11i | 0.834250 | + | 1.14825i | ||||
\(931\) | 5.71945e11 | − | 1.85836e11i | 0.761300 | − | 0.247361i | ||||
\(932\) | −1.99846e11 | − | 6.49338e10i | −0.264869 | − | 0.0860611i | ||||
\(933\) | −1.77443e12 | − | 1.28920e12i | −2.34170 | − | 1.70134i | ||||
\(934\) | 6.15634e11i | 0.808975i | ||||||||
\(935\) | 3.80159e11 | + | 2.08005e11i | 0.497414 | + | 0.272162i | ||||
\(936\) | −4.93075e11 | −0.642406 | ||||||||
\(937\) | 4.51936e11 | − | 6.22037e11i | 0.586299 | − | 0.806971i | −0.408070 | − | 0.912951i | \(-0.633798\pi\) |
0.994368 | + | 0.105980i | \(0.0337979\pi\) | |||||||
\(938\) | 1.01869e11 | − | 3.13519e11i | 0.131592 | − | 0.404998i | ||||
\(939\) | −2.42307e11 | − | 7.45746e11i | −0.311677 | − | 0.959242i | ||||
\(940\) | 2.93004e11 | − | 2.12880e11i | 0.375286 | − | 0.272661i | ||||
\(941\) | −8.14277e11 | − | 1.12076e12i | −1.03852 | − | 1.42940i | −0.898357 | − | 0.439267i | \(-0.855238\pi\) |
−0.140160 | − | 0.990129i | \(-0.544762\pi\) | |||||||
\(942\) | −1.01741e12 | + | 3.30577e11i | −1.29209 | + | 0.419826i | ||||
\(943\) | −5.69128e11 | − | 1.84921e11i | −0.719720 | − | 0.233851i | ||||
\(944\) | 2.28718e11 | + | 1.66174e11i | 0.288013 | + | 0.209254i | ||||
\(945\) | 1.28902e12i | 1.61634i | ||||||||
\(946\) | −7.05623e11 | − | 7.48408e11i | −0.881066 | − | 0.934488i | ||||
\(947\) | −1.18284e12 | −1.47071 | −0.735355 | − | 0.677682i | \(-0.762985\pi\) | ||||
−0.735355 | + | 0.677682i | \(0.762985\pi\) | |||||||
\(948\) | −2.78212e11 | + | 3.82926e11i | −0.344463 | + | 0.474113i | ||||
\(949\) | 1.74718e11 | − | 5.37726e11i | 0.215413 | − | 0.662974i | ||||
\(950\) | 9.33757e10 | + | 2.87381e11i | 0.114641 | + | 0.352828i | ||||
\(951\) | −1.41875e12 | + | 1.03078e12i | −1.73453 | + | 1.26021i | ||||
\(952\) | −1.72018e11 | − | 2.36762e11i | −0.209424 | − | 0.288247i | ||||
\(953\) | 7.21947e11 | − | 2.34575e11i | 0.875253 | − | 0.284387i | 0.163268 | − | 0.986582i | \(-0.447796\pi\) |
0.711985 | + | 0.702195i | \(0.247796\pi\) | |||||||
\(954\) | 1.40562e12 | + | 4.56715e11i | 1.69698 | + | 0.551381i | ||||
\(955\) | −5.96857e11 | − | 4.33642e11i | −0.717558 | − | 0.521336i | ||||
\(956\) | 3.52548e11i | 0.422072i | ||||||||
\(957\) | −9.91595e10 | + | 5.25519e11i | −0.118219 | + | 0.626529i | ||||
\(958\) | 5.82194e11 | 0.691203 | ||||||||
\(959\) | −4.74308e11 | + | 6.52829e11i | −0.560771 | + | 0.771836i | ||||
\(960\) | −4.15682e10 | + | 1.27934e11i | −0.0489414 | + | 0.150626i | ||||
\(961\) | 3.97886e11 | + | 1.22457e12i | 0.466515 | + | 1.43579i | ||||
\(962\) | 6.22963e11 | − | 4.52609e11i | 0.727381 | − | 0.528473i | ||||
\(963\) | −2.37901e11 | − | 3.27442e11i | −0.276625 | − | 0.380741i | ||||
\(964\) | −2.89899e11 | + | 9.41939e10i | −0.335690 | + | 0.109072i | ||||
\(965\) | 5.40729e11 | + | 1.75694e11i | 0.623549 | + | 0.202603i | ||||
\(966\) | 7.28813e11 | + | 5.29514e11i | 0.836965 | + | 0.608091i | ||||
\(967\) | 1.02464e12i | 1.17183i | 0.810371 | + | 0.585917i | \(0.199266\pi\) | ||||
−0.810371 | + | 0.585917i | \(0.800734\pi\) | |||||||
\(968\) | −2.39976e11 | − | 1.96914e11i | −0.273317 | − | 0.224272i | ||||
\(969\) | 1.33742e12 | 1.51696 | ||||||||
\(970\) | −2.87650e11 | + | 3.95916e11i | −0.324921 | + | 0.447215i | ||||
\(971\) | −4.52002e11 | + | 1.39112e12i | −0.508468 | + | 1.56490i | 0.286392 | + | 0.958112i | \(0.407544\pi\) |
−0.794861 | + | 0.606792i | \(0.792456\pi\) | |||||||
\(972\) | −1.05803e10 | − | 3.25627e10i | −0.0118531 | − | 0.0364800i | ||||
\(973\) | 1.19594e12 | − | 8.68899e11i | 1.33431 | − | 0.969433i | ||||
\(974\) | −6.32078e11 | − | 8.69981e11i | −0.702320 | − | 0.966661i | ||||
\(975\) | 6.27973e11 | − | 2.04041e11i | 0.694900 | − | 0.225787i | ||||
\(976\) | −1.47501e11 | − | 4.79259e10i | −0.162553 | − | 0.0528167i | ||||
\(977\) | −9.43647e11 | − | 6.85599e11i | −1.03569 | − | 0.752475i | −0.0662531 | − | 0.997803i | \(-0.521104\pi\) |
−0.969440 | + | 0.245328i | \(0.921104\pi\) | |||||||
\(978\) | − | 1.61142e12i | − | 1.76138i | ||||||
\(979\) | 1.54018e11 | + | 2.90615e10i | 0.167664 | + | 0.0316364i | ||||
\(980\) | −2.38102e11 | −0.258142 | ||||||||
\(981\) | −5.36323e11 | + | 7.38186e11i | −0.579096 | + | 0.797058i | ||||
\(982\) | −2.97017e11 | + | 9.14123e11i | −0.319400 | + | 0.983012i | ||||
\(983\) | −1.71334e10 | − | 5.27313e10i | −0.0183498 | − | 0.0564747i | 0.941462 | − | 0.337118i | \(-0.109452\pi\) |
−0.959812 | + | 0.280643i | \(0.909452\pi\) | |||||||
\(984\) | 5.38968e11 | − | 3.91583e11i | 0.574887 | − | 0.417680i | ||||
\(985\) | 9.61677e10 | + | 1.32363e11i | 0.102161 | + | 0.140612i | ||||
\(986\) | 1.81359e11 | − | 5.89271e10i | 0.191881 | − | 0.0623458i | ||||
\(987\) | 2.56805e12 | + | 8.34410e11i | 2.70604 | + | 0.879247i | ||||
\(988\) | 4.03187e11 | + | 2.92932e11i | 0.423135 | + | 0.307425i | ||||
\(989\) | − | 1.12901e12i | − | 1.18008i | ||||||
\(990\) | 7.17620e11 | − | 6.76596e11i | 0.747057 | − | 0.704350i | ||||
\(991\) | 2.23267e11 | 0.231489 | 0.115745 | − | 0.993279i | \(-0.463075\pi\) | ||||
0.115745 | + | 0.993279i | \(0.463075\pi\) | |||||||
\(992\) | −1.59404e11 | + | 2.19401e11i | −0.164609 | + | 0.226564i | ||||
\(993\) | −5.14589e11 | + | 1.58374e12i | −0.529253 | + | 1.62887i | ||||
\(994\) | 2.07985e11 | + | 6.40113e11i | 0.213053 | + | 0.655709i | ||||
\(995\) | −3.64320e11 | + | 2.64694e11i | −0.371698 | + | 0.270055i | ||||
\(996\) | −3.12034e11 | − | 4.29478e11i | −0.317077 | − | 0.436419i | ||||
\(997\) | 1.03474e12 | − | 3.36206e11i | 1.04725 | − | 0.340271i | 0.265660 | − | 0.964067i | \(-0.414410\pi\) |
0.781587 | + | 0.623796i | \(0.214410\pi\) | |||||||
\(998\) | −1.91073e10 | − | 6.20834e9i | −0.0192609 | − | 0.00625826i | ||||
\(999\) | −1.88086e12 | − | 1.36653e12i | −1.88841 | − | 1.37201i |
(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 | 22.9.d.a.7.5 | ✓ | 32 | |
11.5 | even | 5 | 242.9.b.e.241.6 | 32 | |||
11.6 | odd | 10 | 242.9.b.e.241.5 | 32 | |||
11.8 | odd | 10 | inner | 22.9.d.a.19.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.9.d.a.7.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
22.9.d.a.19.5 | yes | 32 | 11.8 | odd | 10 | inner | |
242.9.b.e.241.5 | 32 | 11.6 | odd | 10 | |||
242.9.b.e.241.6 | 32 | 11.5 | even | 5 |