Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 17.9 |
Dual form | 17.10.d.a.2.3 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.5808 | + | 22.5808i | −0.997942 | + | 0.997942i | −0.999998 | − | 0.00205624i | \(-0.999345\pi\) |
0.00205624 | + | 0.999998i | \(0.499345\pi\) | |||||||
\(3\) | 147.205 | + | 60.9745i | 1.04925 | + | 0.434613i | 0.839623 | − | 0.543169i | \(-0.182776\pi\) |
0.209625 | + | 0.977782i | \(0.432776\pi\) | |||||||
\(4\) | − | 507.789i | − | 0.991775i | ||||||
\(5\) | 534.784 | − | 1291.08i | 0.382660 | − | 0.923823i | −0.608790 | − | 0.793332i | \(-0.708345\pi\) |
0.991449 | − | 0.130491i | \(-0.0416554\pi\) | |||||||
\(6\) | −4700.88 | + | 1947.17i | −1.48081 | + | 0.613370i | ||||
\(7\) | −3817.95 | − | 9217.34i | −0.601020 | − | 1.45099i | −0.872533 | − | 0.488556i | \(-0.837524\pi\) |
0.271513 | − | 0.962435i | \(-0.412476\pi\) | |||||||
\(8\) | −95.0916 | − | 95.0916i | −0.00820800 | − | 0.00820800i | ||||
\(9\) | 4033.58 | + | 4033.58i | 0.204927 | + | 0.204927i | ||||
\(10\) | 17077.8 | + | 41229.6i | 0.540049 | + | 1.30379i | ||||
\(11\) | 46761.8 | − | 19369.4i | 0.962994 | − | 0.398885i | 0.154895 | − | 0.987931i | \(-0.450496\pi\) |
0.808100 | + | 0.589046i | \(0.200496\pi\) | |||||||
\(12\) | 30962.2 | − | 74749.3i | 0.431038 | − | 1.04062i | ||||
\(13\) | − | 76005.9i | − | 0.738078i | −0.929414 | − | 0.369039i | \(-0.879687\pi\) | ||
0.929414 | − | 0.369039i | \(-0.120313\pi\) | |||||||
\(14\) | 294348. | + | 121923.i | 2.04779 | + | 0.848221i | ||||
\(15\) | 157446. | − | 157446.i | 0.803011 | − | 0.803011i | ||||
\(16\) | 264282. | 1.00816 | ||||||||
\(17\) | −324117. | + | 116345.i | −0.941199 | + | 0.337852i | ||||
\(18\) | −182163. | −0.409011 | ||||||||
\(19\) | −460062. | + | 460062.i | −0.809888 | + | 0.809888i | −0.984617 | − | 0.174728i | \(-0.944095\pi\) |
0.174728 | + | 0.984617i | \(0.444095\pi\) | |||||||
\(20\) | −655597. | − | 271557.i | −0.916225 | − | 0.379513i | ||||
\(21\) | − | 1.58964e6i | − | 1.78366i | ||||||
\(22\) | −618544. | + | 1.49330e6i | −0.562948 | + | 1.35908i | ||||
\(23\) | 547050. | − | 226596.i | 0.407617 | − | 0.168840i | −0.169447 | − | 0.985539i | \(-0.554198\pi\) |
0.577064 | + | 0.816699i | \(0.304198\pi\) | |||||||
\(24\) | −8199.84 | − | 19796.2i | −0.00504493 | − | 0.0121795i | ||||
\(25\) | 169.290 | + | 169.290i | 8.66767e−5 | + | 8.66767e-5i | ||||
\(26\) | 1.71628e6 | + | 1.71628e6i | 0.736559 | + | 0.736559i | ||||
\(27\) | −852342. | − | 2.05773e6i | −0.308657 | − | 0.745165i | ||||
\(28\) | −4.68046e6 | + | 1.93871e6i | −1.43906 | + | 0.596077i | ||||
\(29\) | 1.35186e6 | − | 3.26369e6i | 0.354929 | − | 0.856875i | −0.641067 | − | 0.767485i | \(-0.721508\pi\) |
0.995997 | − | 0.0893904i | \(-0.0284919\pi\) | |||||||
\(30\) | 7.11053e6i | 1.60272i | ||||||||
\(31\) | 3.15043e6 | + | 1.30495e6i | 0.612692 | + | 0.253786i | 0.667379 | − | 0.744718i | \(-0.267416\pi\) |
−0.0546868 | + | 0.998504i | \(0.517416\pi\) | |||||||
\(32\) | −5.91903e6 | + | 5.91903e6i | −0.997874 | + | 0.997874i | ||||
\(33\) | 8.06462e6 | 1.18378 | ||||||||
\(34\) | 4.69168e6 | − | 9.94599e6i | 0.602106 | − | 1.27642i | ||||
\(35\) | −1.39421e7 | −1.57044 | ||||||||
\(36\) | 2.04821e6 | − | 2.04821e6i | 0.203242 | − | 0.203242i | ||||
\(37\) | −5.75330e6 | − | 2.38309e6i | −0.504672 | − | 0.209042i | 0.115797 | − | 0.993273i | \(-0.463058\pi\) |
−0.620469 | + | 0.784231i | \(0.713058\pi\) | |||||||
\(38\) | − | 2.07772e7i | − | 1.61644i | ||||||
\(39\) | 4.63442e6 | − | 1.11885e7i | 0.320778 | − | 0.774427i | ||||
\(40\) | −173625. | + | 71917.6i | −0.0107236 | + | 0.00444187i | ||||
\(41\) | −6432.62 | − | 15529.7i | −0.000355517 | − | 0.000858294i | 0.923702 | − | 0.383113i | \(-0.125148\pi\) |
−0.924057 | + | 0.382254i | \(0.875148\pi\) | |||||||
\(42\) | 3.58954e7 | + | 3.58954e7i | 1.77999 | + | 1.77999i | ||||
\(43\) | 2.30025e7 | + | 2.30025e7i | 1.02605 | + | 1.02605i | 0.999652 | + | 0.0263957i | \(0.00840299\pi\) |
0.0263957 | + | 0.999652i | \(0.491597\pi\) | |||||||
\(44\) | −9.83554e6 | − | 2.37451e7i | −0.395605 | − | 0.955074i | ||||
\(45\) | 7.36477e6 | − | 3.05059e6i | 0.267734 | − | 0.110899i | ||||
\(46\) | −7.23613e6 | + | 1.74696e7i | −0.238285 | + | 0.575270i | ||||
\(47\) | − | 5.02215e7i | − | 1.50124i | −0.660736 | − | 0.750619i | \(-0.729756\pi\) | ||
0.660736 | − | 0.750619i | \(-0.270244\pi\) | |||||||
\(48\) | 3.89038e7 | + | 1.61145e7i | 1.05781 | + | 0.438158i | ||||
\(49\) | −4.18484e7 | + | 4.18484e7i | −1.03704 | + | 1.03704i | ||||
\(50\) | −7645.44 | −0.000172997 | ||||||||
\(51\) | −5.48058e7 | − | 2.63632e6i | −1.13439 | − | 0.0545672i | ||||
\(52\) | −3.85949e7 | −0.732007 | ||||||||
\(53\) | 1.10317e7 | − | 1.10317e7i | 0.192045 | − | 0.192045i | −0.604534 | − | 0.796579i | \(-0.706641\pi\) |
0.796579 | + | 0.604534i | \(0.206641\pi\) | |||||||
\(54\) | 6.57120e7 | + | 2.72188e7i | 1.05165 | + | 0.435609i | ||||
\(55\) | − | 7.07317e7i | − | 1.04227i | ||||||
\(56\) | −513437. | + | 1.23955e6i | −0.00697656 | + | 0.0168429i | ||||
\(57\) | −9.57757e7 | + | 3.96716e7i | −1.20176 | + | 0.497786i | ||||
\(58\) | 4.31706e7 | + | 1.04223e8i | 0.500912 | + | 1.20931i | ||||
\(59\) | −1.14670e8 | − | 1.14670e8i | −1.23201 | − | 1.23201i | −0.963189 | − | 0.268824i | \(-0.913365\pi\) |
−0.268824 | − | 0.963189i | \(-0.586635\pi\) | |||||||
\(60\) | −7.99494e7 | − | 7.99494e7i | −0.796406 | − | 0.796406i | ||||
\(61\) | 5.96668e7 | + | 1.44048e8i | 0.551758 | + | 1.33206i | 0.916157 | + | 0.400818i | \(0.131274\pi\) |
−0.364400 | + | 0.931243i | \(0.618726\pi\) | |||||||
\(62\) | −1.00606e8 | + | 4.16725e7i | −0.864694 | + | 0.358168i | ||||
\(63\) | 2.17789e7 | − | 5.25789e7i | 0.174182 | − | 0.420513i | ||||
\(64\) | − | 1.32001e8i | − | 0.983483i | ||||||
\(65\) | −9.81298e7 | − | 4.06467e7i | −0.681853 | − | 0.282433i | ||||
\(66\) | −1.82106e8 | + | 1.82106e8i | −1.18134 | + | 1.18134i | ||||
\(67\) | 2.74298e8 | 1.66298 | 0.831488 | − | 0.555542i | \(-0.187489\pi\) | ||||
0.831488 | + | 0.555542i | \(0.187489\pi\) | |||||||
\(68\) | 5.90785e7 | + | 1.64583e8i | 0.335073 | + | 0.933458i | ||||
\(69\) | 9.43453e7 | 0.501071 | ||||||||
\(70\) | 3.14825e8 | − | 3.14825e8i | 1.56721 | − | 1.56721i | ||||
\(71\) | 2.51521e8 | + | 1.04183e8i | 1.17466 | + | 0.486560i | 0.882730 | − | 0.469880i | \(-0.155703\pi\) |
0.291929 | + | 0.956440i | \(0.405703\pi\) | |||||||
\(72\) | − | 767119.i | − | 0.00336408i | ||||||
\(73\) | 3.28100e6 | − | 7.92104e6i | 0.0135224 | − | 0.0326459i | −0.916974 | − | 0.398947i | \(-0.869376\pi\) |
0.930497 | + | 0.366301i | \(0.119376\pi\) | |||||||
\(74\) | 1.83727e8 | − | 7.61020e7i | 0.712245 | − | 0.295021i | ||||
\(75\) | 14598.1 | + | 35242.9i | 5.32746e−5 | + | 0.000128616i | ||||
\(76\) | 2.33614e8 | + | 2.33614e8i | 0.803227 | + | 0.803227i | ||||
\(77\) | −3.57068e8 | − | 3.57068e8i | −1.15756 | − | 1.15756i | ||||
\(78\) | 1.47996e8 | + | 3.57295e8i | 0.452715 | + | 1.09295i | ||||
\(79\) | −2.65406e8 | + | 1.09935e8i | −0.766634 | + | 0.317550i | −0.731508 | − | 0.681833i | \(-0.761183\pi\) |
−0.0351260 | + | 0.999383i | \(0.511183\pi\) | |||||||
\(80\) | 1.41334e8 | − | 3.41210e8i | 0.385781 | − | 0.931359i | ||||
\(81\) | − | 4.67160e8i | − | 1.20582i | ||||||
\(82\) | 495928. | + | 205420.i | 0.00121131 | + | 0.000501742i | ||||
\(83\) | 2.62900e8 | − | 2.62900e8i | 0.608050 | − | 0.608050i | −0.334386 | − | 0.942436i | \(-0.608529\pi\) |
0.942436 | + | 0.334386i | \(0.108529\pi\) | |||||||
\(84\) | −8.07202e8 | −1.76899 | ||||||||
\(85\) | −2.31221e7 | + | 4.80681e8i | −0.0480443 | + | 0.998784i | ||||
\(86\) | −1.03883e9 | −2.04787 | ||||||||
\(87\) | 3.98003e8 | − | 3.98003e8i | 0.744818 | − | 0.744818i | ||||
\(88\) | −6.28852e6 | − | 2.60479e6i | −0.0111783 | − | 0.00463021i | ||||
\(89\) | 4.29631e8i | 0.725839i | 0.931821 | + | 0.362919i | \(0.118220\pi\) | ||||
−0.931821 | + | 0.362919i | \(0.881780\pi\) | |||||||
\(90\) | −9.74179e7 | + | 2.35188e8i | −0.156512 | + | 0.377853i | ||||
\(91\) | −7.00572e8 | + | 2.90187e8i | −1.07094 | + | 0.443600i | ||||
\(92\) | −1.15063e8 | − | 2.77786e8i | −0.167452 | − | 0.404264i | ||||
\(93\) | 3.84192e8 | + | 3.84192e8i | 0.532568 | + | 0.532568i | ||||
\(94\) | 1.13404e9 | + | 1.13404e9i | 1.49815 | + | 1.49815i | ||||
\(95\) | 3.47944e8 | + | 8.40011e8i | 0.438282 | + | 1.05811i | ||||
\(96\) | −1.23222e9 | + | 5.10404e8i | −1.48071 | + | 0.613329i | ||||
\(97\) | 3.90001e8 | − | 9.41546e8i | 0.447294 | − | 1.07986i | −0.526038 | − | 0.850461i | \(-0.676323\pi\) |
0.973332 | − | 0.229402i | \(-0.0736770\pi\) | |||||||
\(98\) | − | 1.88994e9i | − | 2.06981i | ||||||
\(99\) | 2.66745e8 | + | 1.10489e8i | 0.279086 | + | 0.115601i | ||||
\(100\) | 85963.8 | − | 85963.8i | 8.59638e−5 | − | 8.59638e-5i | ||||
\(101\) | 5.60377e8 | 0.535838 | 0.267919 | − | 0.963441i | \(-0.413664\pi\) | ||||
0.267919 | + | 0.963441i | \(0.413664\pi\) | |||||||
\(102\) | 1.29709e9 | − | 1.17803e9i | 1.18651 | − | 1.07760i | ||||
\(103\) | −1.44725e8 | −0.126699 | −0.0633497 | − | 0.997991i | \(-0.520178\pi\) | ||||
−0.0633497 | + | 0.997991i | \(0.520178\pi\) | |||||||
\(104\) | −7.22753e6 | + | 7.22753e6i | −0.00605814 | + | 0.00605814i | ||||
\(105\) | −2.05236e9 | − | 8.50114e8i | −1.64779 | − | 0.682535i | ||||
\(106\) | 4.98212e8i | 0.383299i | ||||||||
\(107\) | −7.31531e8 | + | 1.76607e9i | −0.539518 | + | 1.30251i | 0.385542 | + | 0.922690i | \(0.374014\pi\) |
−0.925060 | + | 0.379821i | \(0.875986\pi\) | |||||||
\(108\) | −1.04489e9 | + | 4.32810e8i | −0.739036 | + | 0.306119i | ||||
\(109\) | 9.27654e8 | + | 2.23955e9i | 0.629458 | + | 1.51965i | 0.840298 | + | 0.542125i | \(0.182380\pi\) |
−0.210840 | + | 0.977521i | \(0.567620\pi\) | |||||||
\(110\) | 1.59718e9 | + | 1.59718e9i | 1.04013 | + | 1.04013i | ||||
\(111\) | −7.01609e8 | − | 7.01609e8i | −0.438674 | − | 0.438674i | ||||
\(112\) | −1.00902e9 | − | 2.43598e9i | −0.605923 | − | 1.46283i | ||||
\(113\) | −1.05934e9 | + | 4.38792e8i | −0.611197 | + | 0.253166i | −0.666740 | − | 0.745290i | \(-0.732311\pi\) |
0.0555433 | + | 0.998456i | \(0.482311\pi\) | |||||||
\(114\) | 1.26688e9 | − | 3.05851e9i | 0.702527 | − | 1.69605i | ||||
\(115\) | − | 8.27466e8i | − | 0.441174i | ||||||
\(116\) | −1.65726e9 | − | 6.86461e8i | −0.849827 | − | 0.352010i | ||||
\(117\) | 3.06576e8 | − | 3.06576e8i | 0.151252 | − | 0.151252i | ||||
\(118\) | 5.17869e9 | 2.45895 | ||||||||
\(119\) | 2.30985e9 | + | 2.54330e9i | 1.05590 | + | 1.16262i | ||||
\(120\) | −2.99436e7 | −0.0131822 | ||||||||
\(121\) | 1.44169e8 | − | 1.44169e8i | 0.0611419 | − | 0.0611419i | ||||
\(122\) | −4.60006e9 | − | 1.90541e9i | −1.87994 | − | 0.778697i | ||||
\(123\) | − | 2.67828e6i | − | 0.00105508i | ||||||
\(124\) | 6.62640e8 | − | 1.59975e9i | 0.251698 | − | 0.607653i | ||||
\(125\) | 2.52195e9 | − | 1.04463e9i | 0.923936 | − | 0.382707i | ||||
\(126\) | 6.95490e8 | + | 1.67906e9i | 0.245824 | + | 0.593470i | ||||
\(127\) | −1.75016e9 | − | 1.75016e9i | −0.596982 | − | 0.596982i | 0.342526 | − | 0.939508i | \(-0.388717\pi\) |
−0.939508 | + | 0.342526i | \(0.888717\pi\) | |||||||
\(128\) | −4.98537e7 | − | 4.98537e7i | −0.0164154 | − | 0.0164154i | ||||
\(129\) | 1.98353e9 | + | 4.78866e9i | 0.630645 | + | 1.52251i | ||||
\(130\) | 3.13369e9 | − | 1.29802e9i | 0.962301 | − | 0.398598i | ||||
\(131\) | −7.70757e8 | + | 1.86077e9i | −0.228663 | + | 0.552042i | −0.996015 | − | 0.0891841i | \(-0.971574\pi\) |
0.767352 | + | 0.641226i | \(0.221574\pi\) | |||||||
\(132\) | − | 4.09513e9i | − | 1.17404i | ||||||
\(133\) | 5.99704e9 | + | 2.48406e9i | 1.66190 | + | 0.688381i | ||||
\(134\) | −6.19388e9 | + | 6.19388e9i | −1.65955 | + | 1.65955i | ||||
\(135\) | −3.11252e9 | −0.806511 | ||||||||
\(136\) | 4.18842e7 | + | 1.97574e7i | 0.0104985 | + | 0.00495228i | ||||
\(137\) | 2.91545e9 | 0.707070 | 0.353535 | − | 0.935421i | \(-0.384979\pi\) | ||||
0.353535 | + | 0.935421i | \(0.384979\pi\) | |||||||
\(138\) | −2.13040e9 | + | 2.13040e9i | −0.500040 | + | 0.500040i | ||||
\(139\) | −6.95579e9 | − | 2.88118e9i | −1.58045 | − | 0.654642i | −0.591962 | − | 0.805966i | \(-0.701647\pi\) |
−0.988484 | + | 0.151323i | \(0.951647\pi\) | |||||||
\(140\) | 7.07965e9i | 1.55753i | ||||||||
\(141\) | 3.06223e9 | − | 7.39288e9i | 0.652457 | − | 1.57517i | ||||
\(142\) | −8.03211e9 | + | 3.32701e9i | −1.65780 | + | 0.686683i | ||||
\(143\) | −1.47219e9 | − | 3.55417e9i | −0.294408 | − | 0.710765i | ||||
\(144\) | 1.06600e9 | + | 1.06600e9i | 0.206599 | + | 0.206599i | ||||
\(145\) | −3.49073e9 | − | 3.49073e9i | −0.655783 | − | 0.655783i | ||||
\(146\) | 1.04776e8 | + | 2.52951e8i | 0.0190842 | + | 0.0460733i | ||||
\(147\) | −8.71199e9 | + | 3.60863e9i | −1.53883 | + | 0.637403i | ||||
\(148\) | −1.21011e9 | + | 2.92146e9i | −0.207323 | + | 0.500521i | ||||
\(149\) | − | 8.08087e9i | − | 1.34314i | −0.740943 | − | 0.671568i | \(-0.765621\pi\) | ||
0.740943 | − | 0.671568i | \(-0.234379\pi\) | |||||||
\(150\) | −1.12545e6 | − | 466177.i | −0.000181516 | − | 7.51865e-5i | ||||
\(151\) | 2.25623e9 | − | 2.25623e9i | 0.353172 | − | 0.353172i | −0.508116 | − | 0.861288i | \(-0.669658\pi\) |
0.861288 | + | 0.508116i | \(0.169658\pi\) | |||||||
\(152\) | 8.74961e7 | 0.0132951 | ||||||||
\(153\) | −1.77664e9 | − | 8.38067e8i | −0.262112 | − | 0.123642i | ||||
\(154\) | 1.61258e10 | 2.31035 | ||||||||
\(155\) | 3.36960e9 | − | 3.36960e9i | 0.468906 | − | 0.468906i | ||||
\(156\) | −5.68139e9 | − | 2.35331e9i | −0.768058 | − | 0.318140i | ||||
\(157\) | 2.16958e9i | 0.284988i | 0.989796 | + | 0.142494i | \(0.0455122\pi\) | ||||
−0.989796 | + | 0.142494i | \(0.954488\pi\) | |||||||
\(158\) | 3.51067e9 | − | 8.47550e9i | 0.448160 | − | 1.08195i | ||||
\(159\) | 2.29659e9 | − | 9.51278e8i | 0.284968 | − | 0.118038i | ||||
\(160\) | 4.47655e9 | + | 1.08074e10i | 0.540012 | + | 1.30371i | ||||
\(161\) | −4.17722e9 | − | 4.17722e9i | −0.489971 | − | 0.489971i | ||||
\(162\) | 1.05489e10 | + | 1.05489e10i | 1.20334 | + | 1.20334i | ||||
\(163\) | 6.17014e9 | + | 1.48960e10i | 0.684622 | + | 1.65282i | 0.755344 | + | 0.655328i | \(0.227470\pi\) |
−0.0707222 | + | 0.997496i | \(0.522530\pi\) | |||||||
\(164\) | −7.88581e6 | + | 3.26641e6i | −0.000851234 | + | 0.000352593i | ||||
\(165\) | 4.31283e9 | − | 1.04121e10i | 0.452986 | − | 1.09360i | ||||
\(166\) | 1.18730e10i | 1.21360i | ||||||||
\(167\) | −1.02730e10 | − | 4.25523e9i | −1.02206 | − | 0.423350i | −0.192218 | − | 0.981352i | \(-0.561568\pi\) |
−0.829839 | + | 0.558003i | \(0.811568\pi\) | |||||||
\(168\) | −1.51162e8 | + | 1.51162e8i | −0.0146403 | + | 0.0146403i | ||||
\(169\) | 4.82760e9 | 0.455241 | ||||||||
\(170\) | −1.03321e10 | − | 1.13763e10i | −0.948783 | − | 1.04467i | ||||
\(171\) | −3.71139e9 | −0.331936 | ||||||||
\(172\) | 1.16804e10 | − | 1.16804e10i | 1.01761 | − | 1.01761i | ||||
\(173\) | 1.37526e10 | + | 5.69650e9i | 1.16728 | + | 0.483504i | 0.880294 | − | 0.474429i | \(-0.157346\pi\) |
0.286989 | + | 0.957934i | \(0.407346\pi\) | |||||||
\(174\) | 1.79745e10i | 1.48657i | ||||||||
\(175\) | 914066. | − | 2.20675e6i | 7.36726e−5 | − | 0.000177861i | ||||
\(176\) | 1.23583e10 | − | 5.11898e9i | 0.970850 | − | 0.402139i | ||||
\(177\) | −9.88810e9 | − | 2.38720e10i | −0.757239 | − | 1.82814i | ||||
\(178\) | −9.70142e9 | − | 9.70142e9i | −0.724345 | − | 0.724345i | ||||
\(179\) | 1.03071e10 | + | 1.03071e10i | 0.750408 | + | 0.750408i | 0.974555 | − | 0.224147i | \(-0.0719597\pi\) |
−0.224147 | + | 0.974555i | \(0.571960\pi\) | |||||||
\(180\) | −1.54906e9 | − | 3.73975e9i | −0.109987 | − | 0.265532i | ||||
\(181\) | 2.68335e9 | − | 1.11148e9i | 0.185833 | − | 0.0769747i | −0.287826 | − | 0.957683i | \(-0.592933\pi\) |
0.473660 | + | 0.880708i | \(0.342933\pi\) | |||||||
\(182\) | 9.26686e9 | − | 2.23722e10i | 0.626053 | − | 1.51143i | ||||
\(183\) | 2.48429e10i | 1.63746i | ||||||||
\(184\) | −7.35672e7 | − | 3.04725e7i | −0.00473156 | − | 0.00195988i | ||||
\(185\) | −6.15354e9 | + | 6.15354e9i | −0.386235 | + | 0.386235i | ||||
\(186\) | −1.73508e10 | −1.06294 | ||||||||
\(187\) | −1.29028e10 | + | 1.17184e10i | −0.771606 | + | 0.700780i | ||||
\(188\) | −2.55019e10 | −1.48889 | ||||||||
\(189\) | −1.57127e10 | + | 1.57127e10i | −0.895718 | + | 0.895718i | ||||
\(190\) | −2.68250e10 | − | 1.11113e10i | −1.49331 | − | 0.618548i | ||||
\(191\) | − | 1.67129e10i | − | 0.908658i | −0.890834 | − | 0.454329i | \(-0.849879\pi\) | ||
0.890834 | − | 0.454329i | \(-0.150121\pi\) | |||||||
\(192\) | 8.04869e9 | − | 1.94312e10i | 0.427434 | − | 1.03192i | ||||
\(193\) | 9.28945e9 | − | 3.84782e9i | 0.481928 | − | 0.199621i | −0.128474 | − | 0.991713i | \(-0.541008\pi\) |
0.610402 | + | 0.792092i | \(0.291008\pi\) | |||||||
\(194\) | 1.24543e10 | + | 3.00674e10i | 0.631267 | + | 1.52401i | ||||
\(195\) | −1.19668e10 | − | 1.19668e10i | −0.592685 | − | 0.592685i | ||||
\(196\) | 2.12501e10 | + | 2.12501e10i | 1.02851 | + | 1.02851i | ||||
\(197\) | −2.48261e9 | − | 5.99355e9i | −0.117439 | − | 0.283522i | 0.854220 | − | 0.519912i | \(-0.174035\pi\) |
−0.971658 | + | 0.236391i | \(0.924035\pi\) | |||||||
\(198\) | −8.51827e9 | + | 3.52838e9i | −0.393875 | + | 0.163148i | ||||
\(199\) | −1.78596e8 | + | 4.31168e8i | −0.00807295 | + | 0.0194898i | −0.927865 | − | 0.372917i | \(-0.878358\pi\) |
0.919792 | + | 0.392407i | \(0.128358\pi\) | |||||||
\(200\) | − | 32196.2i | − | 1.42288e-6i | ||||||
\(201\) | 4.03782e10 | + | 1.67252e10i | 1.74488 | + | 0.722751i | ||||
\(202\) | −1.26538e10 | + | 1.26538e10i | −0.534735 | + | 0.534735i | ||||
\(203\) | −3.52439e10 | −1.45664 | ||||||||
\(204\) | −1.33869e9 | + | 2.78298e10i | −0.0541184 | + | 1.12506i | ||||
\(205\) | −2.34902e7 | −0.000928954 | ||||||||
\(206\) | 3.26800e9 | − | 3.26800e9i | 0.126439 | − | 0.126439i | ||||
\(207\) | 3.12056e9 | + | 1.29258e9i | 0.118132 | + | 0.0489317i | ||||
\(208\) | − | 2.00870e10i | − | 0.744099i | ||||||
\(209\) | −1.26022e10 | + | 3.04244e10i | −0.456865 | + | 1.10297i | ||||
\(210\) | 6.55402e10 | − | 2.71476e10i | 2.32553 | − | 0.963264i | ||||
\(211\) | 4.06743e8 | + | 9.81965e8i | 0.0141270 | + | 0.0341055i | 0.930786 | − | 0.365565i | \(-0.119124\pi\) |
−0.916659 | + | 0.399671i | \(0.869124\pi\) | |||||||
\(212\) | −5.60179e9 | − | 5.60179e9i | −0.190465 | − | 0.190465i | ||||
\(213\) | 3.06728e10 | + | 3.06728e10i | 1.02104 | + | 1.02104i | ||||
\(214\) | −2.33608e10 | − | 5.63980e10i | −0.761423 | − | 1.83824i | ||||
\(215\) | 4.19995e10 | − | 1.73968e10i | 1.34051 | − | 0.555259i | ||||
\(216\) | −1.14623e8 | + | 2.76724e8i | −0.00358285 | + | 0.00864978i | ||||
\(217\) | − | 3.40208e10i | − | 1.04154i | ||||||
\(218\) | −7.15182e10 | − | 2.96238e10i | −2.14468 | − | 0.888356i | ||||
\(219\) | 9.65963e8 | − | 9.65963e8i | 0.0283767 | − | 0.0283767i | ||||
\(220\) | −3.59167e10 | −1.03370 | ||||||||
\(221\) | 8.84287e9 | + | 2.46348e10i | 0.249361 | + | 0.694679i | ||||
\(222\) | 3.16858e10 | 0.875542 | ||||||||
\(223\) | −3.39091e10 | + | 3.39091e10i | −0.918214 | + | 0.918214i | −0.996900 | − | 0.0786853i | \(-0.974928\pi\) |
0.0786853 | + | 0.996900i | \(0.474928\pi\) | |||||||
\(224\) | 7.71563e10 | + | 3.19592e10i | 2.04765 | + | 0.848164i | ||||
\(225\) | 1.36569e6i | 3.55248e-5i | ||||||||
\(226\) | 1.40124e10 | − | 3.38290e10i | 0.357294 | − | 0.862584i | ||||
\(227\) | 1.94473e10 | − | 8.05532e9i | 0.486118 | − | 0.201357i | −0.126143 | − | 0.992012i | \(-0.540260\pi\) |
0.612262 | + | 0.790655i | \(0.290260\pi\) | |||||||
\(228\) | 2.01448e10 | + | 4.86338e10i | 0.493692 | + | 1.19188i | ||||
\(229\) | 1.13634e10 | + | 1.13634e10i | 0.273054 | + | 0.273054i | 0.830328 | − | 0.557275i | \(-0.188153\pi\) |
−0.557275 | + | 0.830328i | \(0.688153\pi\) | |||||||
\(230\) | 1.86849e10 | + | 1.86849e10i | 0.440266 | + | 0.440266i | ||||
\(231\) | −3.07903e10 | − | 7.43344e10i | −0.711476 | − | 1.71765i | ||||
\(232\) | −4.38900e8 | + | 1.81798e8i | −0.00994649 | + | 0.00411997i | ||||
\(233\) | 2.32763e10 | − | 5.61939e10i | 0.517382 | − | 1.24907i | −0.422124 | − | 0.906538i | \(-0.638715\pi\) |
0.939506 | − | 0.342533i | \(-0.111285\pi\) | |||||||
\(234\) | 1.38455e10i | 0.301882i | ||||||||
\(235\) | −6.48401e10 | − | 2.68576e10i | −1.38688 | − | 0.574463i | ||||
\(236\) | −5.82281e10 | + | 5.82281e10i | −1.22188 | + | 1.22188i | ||||
\(237\) | −4.57724e10 | −0.942401 | ||||||||
\(238\) | −1.09588e11 | − | 5.27150e9i | −2.21395 | − | 0.106497i | ||||
\(239\) | 4.66769e10 | 0.925362 | 0.462681 | − | 0.886525i | \(-0.346887\pi\) | ||||
0.462681 | + | 0.886525i | \(0.346887\pi\) | |||||||
\(240\) | 4.16102e10 | − | 4.16102e10i | 0.809561 | − | 0.809561i | ||||
\(241\) | −9.08976e9 | − | 3.76510e9i | −0.173570 | − | 0.0718952i | 0.294206 | − | 0.955742i | \(-0.404945\pi\) |
−0.467777 | + | 0.883847i | \(0.654945\pi\) | |||||||
\(242\) | 6.51093e9i | 0.122032i | ||||||||
\(243\) | 1.17082e10 | − | 2.82661e10i | 0.215408 | − | 0.520040i | ||||
\(244\) | 7.31462e10 | − | 3.02981e10i | 1.32111 | − | 0.547220i | ||||
\(245\) | 3.16498e10 | + | 7.64095e10i | 0.561208 | + | 1.35488i | ||||
\(246\) | 6.04779e7 | + | 6.04779e7i | 0.00105290 | + | 0.00105290i | ||||
\(247\) | 3.49674e10 | + | 3.49674e10i | 0.597761 | + | 0.597761i | ||||
\(248\) | −1.75490e8 | − | 4.23670e8i | −0.00294591 | − | 0.00711205i | ||||
\(249\) | 5.47305e10 | − | 2.26701e10i | 0.902262 | − | 0.373729i | ||||
\(250\) | −3.33593e10 | + | 8.05364e10i | −0.540115 | + | 1.30395i | ||||
\(251\) | 5.71571e10i | 0.908947i | 0.890760 | + | 0.454473i | \(0.150173\pi\) | ||||
−0.890760 | + | 0.454473i | \(0.849827\pi\) | |||||||
\(252\) | −2.66990e10 | − | 1.10591e10i | −0.417054 | − | 0.172749i | ||||
\(253\) | 2.11920e10 | − | 2.11920e10i | 0.325185 | − | 0.325185i | ||||
\(254\) | 7.90402e10 | 1.19151 | ||||||||
\(255\) | −3.27130e10 | + | 6.93490e10i | −0.484495 | + | 1.02709i | ||||
\(256\) | 6.98359e10 | 1.01625 | ||||||||
\(257\) | 6.08016e10 | − | 6.08016e10i | 0.869392 | − | 0.869392i | −0.123013 | − | 0.992405i | \(-0.539256\pi\) |
0.992405 | + | 0.123013i | \(0.0392556\pi\) | |||||||
\(258\) | −1.52922e11 | − | 6.33423e10i | −2.14873 | − | 0.890031i | ||||
\(259\) | 6.21286e10i | 0.857912i | ||||||||
\(260\) | −2.06399e10 | + | 4.98292e10i | −0.280110 | + | 0.676245i | ||||
\(261\) | 1.86172e10 | − | 7.71149e9i | 0.248331 | − | 0.102862i | ||||
\(262\) | −2.46135e10 | − | 5.94221e10i | −0.322713 | − | 0.779099i | ||||
\(263\) | −1.84881e10 | − | 1.84881e10i | −0.238282 | − | 0.238282i | 0.577856 | − | 0.816138i | \(-0.303889\pi\) |
−0.816138 | + | 0.577856i | \(0.803889\pi\) | |||||||
\(264\) | −7.66878e8 | − | 7.66878e8i | −0.00971648 | − | 0.00971648i | ||||
\(265\) | −8.34328e9 | − | 2.01425e10i | −0.103928 | − | 0.250903i | ||||
\(266\) | −1.91510e11 | + | 7.93262e10i | −2.34544 | + | 0.971514i | ||||
\(267\) | −2.61965e10 | + | 6.32440e10i | −0.315459 | + | 0.761585i | ||||
\(268\) | − | 1.39285e11i | − | 1.64930i | ||||||
\(269\) | 1.98411e10 | + | 8.21845e9i | 0.231036 | + | 0.0956983i | 0.495198 | − | 0.868780i | \(-0.335095\pi\) |
−0.264162 | + | 0.964478i | \(0.585095\pi\) | |||||||
\(270\) | 7.02834e10 | − | 7.02834e10i | 0.804851 | − | 0.804851i | ||||
\(271\) | −1.61241e11 | −1.81599 | −0.907997 | − | 0.418976i | \(-0.862389\pi\) | ||||
−0.907997 | + | 0.418976i | \(0.862389\pi\) | |||||||
\(272\) | −8.56584e10 | + | 3.07478e10i | −0.948877 | + | 0.340608i | ||||
\(273\) | −1.20822e11 | −1.31648 | ||||||||
\(274\) | −6.58332e10 | + | 6.58332e10i | −0.705615 | + | 0.705615i | ||||
\(275\) | 1.11954e7 | + | 4.63727e6i | 0.000118043 | + | 4.88951e-5i | ||||
\(276\) | − | 4.79075e10i | − | 0.496950i | ||||||
\(277\) | 1.81719e10 | − | 4.38710e10i | 0.185457 | − | 0.447732i | −0.803618 | − | 0.595145i | \(-0.797095\pi\) |
0.989075 | + | 0.147413i | \(0.0470946\pi\) | |||||||
\(278\) | 2.22127e11 | − | 9.20081e10i | 2.23049 | − | 0.923898i | ||||
\(279\) | 7.44389e9 | + | 1.79711e10i | 0.0735498 | + | 0.177565i | ||||
\(280\) | 1.32578e9 | + | 1.32578e9i | 0.0128902 | + | 0.0128902i | ||||
\(281\) | 1.92745e9 | + | 1.92745e9i | 0.0184419 | + | 0.0184419i | 0.716268 | − | 0.697826i | \(-0.245849\pi\) |
−0.697826 | + | 0.716268i | \(0.745849\pi\) | |||||||
\(282\) | 9.77897e10 | + | 2.36085e11i | 0.920815 | + | 2.22304i | ||||
\(283\) | −3.92533e10 | + | 1.62592e10i | −0.363778 | + | 0.150682i | −0.557083 | − | 0.830457i | \(-0.688079\pi\) |
0.193304 | + | 0.981139i | \(0.438079\pi\) | |||||||
\(284\) | 5.29032e10 | − | 1.27720e11i | 0.482558 | − | 1.16500i | ||||
\(285\) | 1.44870e11i | 1.30070i | ||||||||
\(286\) | 1.13499e11 | + | 4.70130e10i | 1.00310 | + | 0.415499i | ||||
\(287\) | −1.18583e8 | + | 1.18583e8i | −0.00103170 | + | 0.00103170i | ||||
\(288\) | −4.77498e10 | −0.408983 | ||||||||
\(289\) | 9.15158e10 | − | 7.54185e10i | 0.771713 | − | 0.635971i | ||||
\(290\) | 1.57647e11 | 1.30887 | ||||||||
\(291\) | 1.14821e11 | − | 1.14821e11i | 0.938645 | − | 0.938645i | ||||
\(292\) | −4.02221e9 | − | 1.66606e9i | −0.0323774 | − | 0.0134112i | ||||
\(293\) | − | 6.93631e9i | − | 0.0549825i | −0.999622 | − | 0.0274912i | \(-0.991248\pi\) | ||
0.999622 | − | 0.0274912i | \(-0.00875183\pi\) | |||||||
\(294\) | 1.15238e11 | − | 2.78210e11i | 0.899568 | − | 2.17175i | ||||
\(295\) | −2.09372e11 | + | 8.67246e10i | −1.60960 | + | 0.666720i | ||||
\(296\) | 3.20478e8 | + | 7.73703e8i | 0.00242653 | + | 0.00585816i | ||||
\(297\) | −7.97140e10 | − | 7.97140e10i | −0.594471 | − | 0.594471i | ||||
\(298\) | 1.82473e11 | + | 1.82473e11i | 1.34037 | + | 1.34037i | ||||
\(299\) | −1.72226e10 | − | 4.15790e10i | −0.124617 | − | 0.300853i | ||||
\(300\) | 1.78959e7 | − | 7.41274e6i | 0.000127558 | − | 5.28364e-5i | ||||
\(301\) | 1.24200e11 | − | 2.99845e11i | 0.872110 | − | 2.10546i | ||||
\(302\) | 1.01895e11i | 0.704891i | ||||||||
\(303\) | 8.24905e10 | + | 3.41687e10i | 0.562228 | + | 0.232882i | ||||
\(304\) | −1.21586e11 | + | 1.21586e11i | −0.816495 | + | 0.816495i | ||||
\(305\) | 2.17887e11 | 1.44172 | ||||||||
\(306\) | 5.90422e10 | − | 2.11937e10i | 0.384961 | − | 0.138185i | ||||
\(307\) | 1.64410e10 | 0.105635 | 0.0528173 | − | 0.998604i | \(-0.483180\pi\) | ||||
0.0528173 | + | 0.998604i | \(0.483180\pi\) | |||||||
\(308\) | −1.81315e11 | + | 1.81315e11i | −1.14804 | + | 1.14804i | ||||
\(309\) | −2.13042e10 | − | 8.82451e9i | −0.132939 | − | 0.0550652i | ||||
\(310\) | 1.52177e11i | 0.935881i | ||||||||
\(311\) | −4.68694e10 | + | 1.13153e11i | −0.284098 | + | 0.685872i | −0.999923 | − | 0.0124071i | \(-0.996051\pi\) |
0.715826 | + | 0.698279i | \(0.246051\pi\) | |||||||
\(312\) | −1.50463e9 | + | 6.23237e8i | −0.00898945 | + | 0.00372355i | ||||
\(313\) | −9.05020e10 | − | 2.18491e11i | −0.532977 | − | 1.28672i | −0.929543 | − | 0.368715i | \(-0.879798\pi\) |
0.396565 | − | 0.918006i | \(-0.370202\pi\) | |||||||
\(314\) | −4.89909e10 | − | 4.89909e10i | −0.284402 | − | 0.284402i | ||||
\(315\) | −5.62367e10 | − | 5.62367e10i | −0.321827 | − | 0.321827i | ||||
\(316\) | 5.58236e10 | + | 1.34770e11i | 0.314938 | + | 0.760329i | ||||
\(317\) | 4.00600e10 | − | 1.65934e10i | 0.222815 | − | 0.0922930i | −0.268483 | − | 0.963284i | \(-0.586522\pi\) |
0.491298 | + | 0.870991i | \(0.336522\pi\) | |||||||
\(318\) | −3.03782e10 | + | 7.33395e10i | −0.166587 | + | 0.402176i | ||||
\(319\) | − | 1.78800e11i | − | 0.966742i | ||||||
\(320\) | −1.70424e11 | − | 7.05919e10i | −0.908564 | − | 0.376340i | ||||
\(321\) | −2.15371e11 | + | 2.15371e11i | −1.13218 | + | 1.13218i | ||||
\(322\) | 1.88650e11 | 0.977926 | ||||||||
\(323\) | 9.55882e10 | − | 2.02640e11i | 0.488644 | − | 1.03589i | ||||
\(324\) | −2.37218e11 | −1.19590 | ||||||||
\(325\) | 1.28671e7 | − | 1.28671e7i | 6.39741e−5 | − | 6.39741e-5i | ||||
\(326\) | −4.75692e11 | − | 1.97038e11i | −2.33263 | − | 0.966209i | ||||
\(327\) | 3.86238e11i | 1.86806i | ||||||||
\(328\) | −865057. | + | 2.08843e6i | −4.12679e−6 | + | 9.96296e-6i | ||||
\(329\) | −4.62909e11 | + | 1.91743e11i | −2.17828 | + | 0.902274i | ||||
\(330\) | 1.37726e11 | + | 3.32501e11i | 0.639300 | + | 1.54341i | ||||
\(331\) | 1.20201e11 | + | 1.20201e11i | 0.550406 | + | 0.550406i | 0.926558 | − | 0.376152i | \(-0.122753\pi\) |
−0.376152 | + | 0.926558i | \(0.622753\pi\) | |||||||
\(332\) | −1.33498e11 | − | 1.33498e11i | −0.603049 | − | 0.603049i | ||||
\(333\) | −1.35940e10 | − | 3.28188e10i | −0.0605826 | − | 0.146259i | ||||
\(334\) | 3.28061e11 | − | 1.35887e11i | 1.44243 | − | 0.597475i | ||||
\(335\) | 1.46690e11 | − | 3.54141e11i | 0.636355 | − | 1.53630i | ||||
\(336\) | − | 4.20114e11i | − | 1.79821i | ||||||
\(337\) | −9.48238e9 | − | 3.92773e9i | −0.0400482 | − | 0.0165885i | 0.362569 | − | 0.931957i | \(-0.381900\pi\) |
−0.402618 | + | 0.915368i | \(0.631900\pi\) | |||||||
\(338\) | −1.09011e11 | + | 1.09011e11i | −0.454304 | + | 0.454304i | ||||
\(339\) | −1.82695e11 | −0.751327 | ||||||||
\(340\) | 2.44084e11 | + | 1.17411e10i | 0.990569 | + | 0.0476492i | ||||
\(341\) | 1.72596e11 | 0.691251 | ||||||||
\(342\) | 8.38064e10 | − | 8.38064e10i | 0.331253 | − | 0.331253i | ||||
\(343\) | 1.73553e11 | + | 7.18878e10i | 0.677029 | + | 0.280435i | ||||
\(344\) | − | 4.37469e9i | − | 0.0168436i | ||||||
\(345\) | 5.04543e10 | − | 1.21808e11i | 0.191740 | − | 0.462901i | ||||
\(346\) | −4.39176e11 | + | 1.81913e11i | −1.64739 | + | 0.682371i | ||||
\(347\) | −5.75630e10 | − | 1.38969e11i | −0.213138 | − | 0.514561i | 0.780764 | − | 0.624826i | \(-0.214830\pi\) |
−0.993902 | + | 0.110265i | \(0.964830\pi\) | |||||||
\(348\) | −2.02102e11 | − | 2.02102e11i | −0.738692 | − | 0.738692i | ||||
\(349\) | 3.10027e11 | + | 3.10027e11i | 1.11862 | + | 1.11862i | 0.991943 | + | 0.126681i | \(0.0404326\pi\) |
0.126681 | + | 0.991943i | \(0.459567\pi\) | |||||||
\(350\) | 2.91899e7 | + | 7.04706e7i | 0.000103974 | + | 0.000251016i | ||||
\(351\) | −1.56400e11 | + | 6.47830e10i | −0.549990 | + | 0.227813i | ||||
\(352\) | −1.62137e11 | + | 3.91432e11i | −0.562910 | + | 1.35898i | ||||
\(353\) | 3.32465e10i | 0.113962i | 0.998375 | + | 0.0569810i | \(0.0181475\pi\) | ||||
−0.998375 | + | 0.0569810i | \(0.981853\pi\) | |||||||
\(354\) | 7.62331e11 | + | 3.15768e11i | 2.58005 | + | 1.06869i | ||||
\(355\) | 2.69019e11 | − | 2.69019e11i | 0.898990 | − | 0.898990i | ||||
\(356\) | 2.18162e11 | 0.719869 | ||||||||
\(357\) | 1.84946e11 | + | 5.15230e11i | 0.602612 | + | 1.67878i | ||||
\(358\) | −4.65485e11 | −1.49773 | ||||||||
\(359\) | 1.44809e11 | − | 1.44809e11i | 0.460119 | − | 0.460119i | −0.438575 | − | 0.898695i | \(-0.644517\pi\) |
0.898695 | + | 0.438575i | \(0.144517\pi\) | |||||||
\(360\) | −9.90414e8 | − | 4.10243e8i | −0.00310782 | − | 0.00128730i | ||||
\(361\) | − | 1.00627e11i | − | 0.311839i | ||||||
\(362\) | −3.54941e10 | + | 8.56905e10i | −0.108635 | + | 0.262267i | ||||
\(363\) | 3.00132e10 | − | 1.24319e10i | 0.0907260 | − | 0.0375800i | ||||
\(364\) | 1.47354e11 | + | 3.55743e11i | 0.439951 | + | 1.06214i | ||||
\(365\) | −8.47208e9 | − | 8.47208e9i | −0.0249846 | − | 0.0249846i | ||||
\(366\) | −5.60973e11 | − | 5.60973e11i | −1.63409 | − | 1.63409i | ||||
\(367\) | 1.22419e11 | + | 2.95545e11i | 0.352249 | + | 0.850405i | 0.996342 | + | 0.0854576i | \(0.0272352\pi\) |
−0.644092 | + | 0.764948i | \(0.722765\pi\) | |||||||
\(368\) | 1.44576e11 | − | 5.98852e10i | 0.410942 | − | 0.170218i | ||||
\(369\) | 3.66939e7 | − | 8.85868e7i | 0.000103033 | − | 0.000248743i | ||||
\(370\) | − | 2.77904e11i | − | 0.770881i | ||||||
\(371\) | −1.43802e11 | − | 5.95647e10i | −0.394078 | − | 0.163232i | ||||
\(372\) | 1.95088e11 | − | 1.95088e11i | 0.528188 | − | 0.528188i | ||||
\(373\) | 1.73495e11 | 0.464084 | 0.232042 | − | 0.972706i | \(-0.425459\pi\) | ||||
0.232042 | + | 0.972706i | \(0.425459\pi\) | |||||||
\(374\) | 2.67436e10 | − | 5.55967e11i | 0.0706801 | − | 1.46935i | ||||
\(375\) | 4.34941e11 | 1.13577 | ||||||||
\(376\) | −4.77565e9 | + | 4.77565e9i | −0.0123222 | + | 0.0123222i | ||||
\(377\) | −2.48059e11 | − | 1.02750e11i | −0.632440 | − | 0.261965i | ||||
\(378\) | − | 7.09610e11i | − | 1.78775i | ||||||
\(379\) | −5.13111e10 | + | 1.23876e11i | −0.127742 | + | 0.308397i | −0.974792 | − | 0.223117i | \(-0.928377\pi\) |
0.847049 | + | 0.531514i | \(0.178377\pi\) | |||||||
\(380\) | 4.26548e11 | − | 1.76682e11i | 1.04940 | − | 0.434677i | ||||
\(381\) | −1.50918e11 | − | 3.64348e11i | −0.366926 | − | 0.885838i | ||||
\(382\) | 3.77390e11 | + | 3.77390e11i | 0.906788 | + | 0.906788i | ||||
\(383\) | −4.09179e11 | − | 4.09179e11i | −0.971669 | − | 0.971669i | 0.0279404 | − | 0.999610i | \(-0.491105\pi\) |
−0.999610 | + | 0.0279404i | \(0.991105\pi\) | |||||||
\(384\) | −4.29893e9 | − | 1.03785e10i | −0.0100895 | − | 0.0243582i | ||||
\(385\) | −6.51958e11 | + | 2.70050e11i | −1.51233 | + | 0.626427i | ||||
\(386\) | −1.22877e11 | + | 2.96651e11i | −0.281726 | + | 0.680146i | ||||
\(387\) | 1.85565e11i | 0.420530i | ||||||||
\(388\) | −4.78106e11 | − | 1.98038e11i | −1.07098 | − | 0.443615i | ||||
\(389\) | −2.40690e11 | + | 2.40690e11i | −0.532948 | + | 0.532948i | −0.921449 | − | 0.388500i | \(-0.872993\pi\) |
0.388500 | + | 0.921449i | \(0.372993\pi\) | |||||||
\(390\) | 5.40442e11 | 1.18293 | ||||||||
\(391\) | −1.50945e11 | + | 1.37090e11i | −0.326605 | + | 0.296626i | ||||
\(392\) | 7.95886e9 | 0.0170241 | ||||||||
\(393\) | −2.26919e11 | + | 2.26919e11i | −0.479849 | + | 0.479849i | ||||
\(394\) | 1.91399e11 | + | 7.92800e10i | 0.400135 | + | 0.165741i | ||||
\(395\) | 4.01452e11i | 0.829748i | ||||||||
\(396\) | 5.61053e10 | − | 1.35450e11i | 0.114650 | − | 0.276791i | ||||
\(397\) | 3.12258e11 | − | 1.29341e11i | 0.630893 | − | 0.261324i | −0.0442395 | − | 0.999021i | \(-0.514086\pi\) |
0.675132 | + | 0.737697i | \(0.264086\pi\) | |||||||
\(398\) | −5.70330e9 | − | 1.37690e10i | −0.0113934 | − | 0.0275060i | ||||
\(399\) | 7.31333e11 | + | 7.31333e11i | 1.44457 | + | 1.44457i | ||||
\(400\) | 4.47405e7 | + | 4.47405e7i | 8.73837e−5 | + | 8.73837e-5i | ||||
\(401\) | 2.59597e11 | + | 6.26723e11i | 0.501361 | + | 1.21039i | 0.948743 | + | 0.316049i | \(0.102357\pi\) |
−0.447382 | + | 0.894343i | \(0.647643\pi\) | |||||||
\(402\) | −1.28944e12 | + | 5.34104e11i | −2.46255 | + | 1.02002i | ||||
\(403\) | 9.91840e10 | − | 2.39451e11i | 0.187313 | − | 0.452215i | ||||
\(404\) | − | 2.84553e11i | − | 0.531431i | ||||||
\(405\) | −6.03141e11 | − | 2.49829e11i | −1.11396 | − | 0.461419i | ||||
\(406\) | 7.95836e11 | − | 7.95836e11i | 1.45364 | − | 1.45364i | ||||
\(407\) | −3.15193e11 | −0.569380 | ||||||||
\(408\) | 4.96089e9 | + | 5.46227e9i | 0.00886316 | + | 0.00975893i | ||||
\(409\) | 3.79922e11 | 0.671336 | 0.335668 | − | 0.941980i | \(-0.391038\pi\) | ||||
0.335668 | + | 0.941980i | \(0.391038\pi\) | |||||||
\(410\) | 5.30428e8 | − | 5.30428e8i | 0.000927042 | − | 0.000927042i | ||||
\(411\) | 4.29170e11 | + | 1.77768e11i | 0.741892 | + | 0.307302i | ||||
\(412\) | 7.34895e10i | 0.125657i | ||||||||
\(413\) | −6.19148e11 | + | 1.49476e12i | −1.04717 | + | 2.52810i | ||||
\(414\) | −9.96524e10 | + | 4.12774e10i | −0.166719 | + | 0.0690575i | ||||
\(415\) | −1.98831e11 | − | 4.80020e11i | −0.329054 | − | 0.794407i | ||||
\(416\) | 4.49881e11 | + | 4.49881e11i | 0.736509 | + | 0.736509i | ||||
\(417\) | −8.48252e11 | − | 8.48252e11i | −1.37376 | − | 1.37376i | ||||
\(418\) | −4.02441e11 | − | 9.71577e11i | −0.644775 | − | 1.55663i | ||||
\(419\) | 5.82365e11 | − | 2.41224e11i | 0.923065 | − | 0.382346i | 0.130022 | − | 0.991511i | \(-0.458495\pi\) |
0.793043 | + | 0.609165i | \(0.208495\pi\) | |||||||
\(420\) | −4.31678e11 | + | 1.04216e12i | −0.676922 | + | 1.63423i | ||||
\(421\) | 3.36779e11i | 0.522488i | 0.965273 | + | 0.261244i | \(0.0841327\pi\) | ||||
−0.965273 | + | 0.261244i | \(0.915867\pi\) | |||||||
\(422\) | −3.13582e10 | − | 1.29890e10i | −0.0481332 | − | 0.0199374i | ||||
\(423\) | 2.02572e11 | − | 2.02572e11i | 0.307644 | − | 0.307644i | ||||
\(424\) | −2.09805e9 | −0.00315261 | ||||||||
\(425\) | −7.45659e7 | − | 3.51739e7i | −0.000110864 | − | 5.22962e-5i | ||||
\(426\) | −1.38523e12 | −2.03788 | ||||||||
\(427\) | 1.09994e12 | − | 1.09994e12i | 1.60119 | − | 1.60119i | ||||
\(428\) | 8.96792e11 | + | 3.71463e11i | 1.29180 | + | 0.535080i | ||||
\(429\) | − | 6.12959e11i | − | 0.873723i | ||||||
\(430\) | −5.55551e11 | + | 1.34122e12i | −0.783638 | + | 1.89187i | ||||
\(431\) | −1.91658e11 | + | 7.93872e10i | −0.267534 | + | 0.110816i | −0.512418 | − | 0.858736i | \(-0.671250\pi\) |
0.244884 | + | 0.969552i | \(0.421250\pi\) | |||||||
\(432\) | −2.25259e11 | − | 5.43823e11i | −0.311175 | − | 0.751244i | ||||
\(433\) | −4.61492e11 | − | 4.61492e11i | −0.630911 | − | 0.630911i | 0.317385 | − | 0.948297i | \(-0.397195\pi\) |
−0.948297 | + | 0.317385i | \(0.897195\pi\) | |||||||
\(434\) | 7.68219e11 | + | 7.68219e11i | 1.03940 | + | 1.03940i | ||||
\(435\) | −3.01009e11 | − | 7.26700e11i | −0.403068 | − | 0.973092i | ||||
\(436\) | 1.13722e12 | − | 4.71052e11i | 1.50715 | − | 0.624281i | ||||
\(437\) | −1.47429e11 | + | 3.55925e11i | −0.193382 | + | 0.466866i | ||||
\(438\) | 4.36245e10i | 0.0566366i | ||||||||
\(439\) | 5.53757e11 | + | 2.29374e11i | 0.711589 | + | 0.294750i | 0.708962 | − | 0.705247i | \(-0.249164\pi\) |
0.00262700 | + | 0.999997i | \(0.499164\pi\) | |||||||
\(440\) | −6.72599e9 | + | 6.72599e9i | −0.00855498 | + | 0.00855498i | ||||
\(441\) | −3.37597e11 | −0.425036 | ||||||||
\(442\) | −7.55954e11 | − | 3.56595e11i | −0.942096 | − | 0.444401i | ||||
\(443\) | 1.38710e11 | 0.171117 | 0.0855583 | − | 0.996333i | \(-0.472733\pi\) | ||||
0.0855583 | + | 0.996333i | \(0.472733\pi\) | |||||||
\(444\) | −3.56269e11 | + | 3.56269e11i | −0.435066 | + | 0.435066i | ||||
\(445\) | 5.54688e11 | + | 2.29759e11i | 0.670546 | + | 0.277749i | ||||
\(446\) | − | 1.53139e12i | − | 1.83265i | ||||||
\(447\) | 4.92727e11 | − | 1.18955e12i | 0.583745 | − | 1.40928i | ||||
\(448\) | −1.21670e12 | + | 5.03972e11i | −1.42702 | + | 0.591093i | ||||
\(449\) | −6.81450e10 | − | 1.64517e11i | −0.0791271 | − | 0.191030i | 0.879365 | − | 0.476148i | \(-0.157967\pi\) |
−0.958492 | + | 0.285118i | \(0.907967\pi\) | |||||||
\(450\) | −3.08385e7 | − | 3.08385e7i | −3.54517e−5 | − | 3.54517e-5i | ||||
\(451\) | −6.01601e8 | − | 6.01601e8i | −0.000684722 | − | 0.000684722i | ||||
\(452\) | 2.22814e11 | + | 5.37919e11i | 0.251084 | + | 0.606170i | ||||
\(453\) | 4.69701e11 | − | 1.94557e11i | 0.524059 | − | 0.217072i | ||||
\(454\) | −2.57240e11 | + | 6.21031e11i | −0.284175 | + | 0.686060i | ||||
\(455\) | 1.05968e12i | 1.15911i | ||||||||
\(456\) | 1.28799e10 | + | 5.33503e9i | 0.0139499 | + | 0.00577824i | ||||
\(457\) | 1.15093e11 | − | 1.15093e11i | 0.123431 | − | 0.123431i | −0.642693 | − | 0.766124i | \(-0.722183\pi\) |
0.766124 | + | 0.642693i | \(0.222183\pi\) | |||||||
\(458\) | −5.13189e11 | −0.544983 | ||||||||
\(459\) | 5.15665e11 | + | 5.67781e11i | 0.542263 | + | 0.597068i | ||||
\(460\) | −4.20178e11 | −0.437545 | ||||||||
\(461\) | −1.01437e12 | + | 1.01437e12i | −1.04602 | + | 1.04602i | −0.0471320 | + | 0.998889i | \(0.515008\pi\) |
−0.998889 | + | 0.0471320i | \(0.984992\pi\) | |||||||
\(462\) | 2.37380e12 | + | 9.83262e11i | 2.42413 | + | 1.00411i | ||||
\(463\) | − | 8.05823e11i | − | 0.814939i | −0.913219 | − | 0.407470i | \(-0.866411\pi\) | ||
0.913219 | − | 0.407470i | \(-0.133589\pi\) | |||||||
\(464\) | 3.57274e11 | − | 8.62535e11i | 0.357824 | − | 0.863865i | ||||
\(465\) | 7.01483e11 | − | 2.90564e11i | 0.695791 | − | 0.288206i | ||||
\(466\) | 7.43307e11 | + | 1.79450e12i | 0.730183 | + | 1.76282i | ||||
\(467\) | −6.52494e11 | − | 6.52494e11i | −0.634820 | − | 0.634820i | 0.314453 | − | 0.949273i | \(-0.398179\pi\) |
−0.949273 | + | 0.314453i | \(0.898179\pi\) | |||||||
\(468\) | −1.55676e11 | − | 1.55676e11i | −0.150008 | − | 0.150008i | ||||
\(469\) | −1.04726e12 | − | 2.52830e12i | −0.999482 | − | 2.41296i | ||||
\(470\) | 2.07061e12 | − | 8.57675e11i | 1.95730 | − | 0.810742i | ||||
\(471\) | −1.32289e11 | + | 3.19374e11i | −0.123860 | + | 0.299023i | ||||
\(472\) | 2.18083e10i | 0.0202247i | ||||||||
\(473\) | 1.52118e12 | + | 6.30094e11i | 1.39735 | + | 0.578803i | ||||
\(474\) | 1.03358e12 | − | 1.03358e12i | 0.940461 | − | 0.940461i | ||||
\(475\) | −1.55768e8 | −0.000140397 | ||||||||
\(476\) | 1.29146e12 | − | 1.17292e12i | 1.15305 | − | 1.04721i | ||||
\(477\) | 8.89948e10 | 0.0787104 | ||||||||
\(478\) | −1.05400e12 | + | 1.05400e12i | −0.923458 | + | 0.923458i | ||||
\(479\) | −3.79472e11 | − | 1.57182e11i | −0.329359 | − | 0.136425i | 0.211875 | − | 0.977297i | \(-0.432043\pi\) |
−0.541235 | + | 0.840872i | \(0.682043\pi\) | |||||||
\(480\) | 1.86386e12i | 1.60261i | ||||||||
\(481\) | −1.81129e11 | + | 4.37285e11i | −0.154289 | + | 0.372487i | ||||
\(482\) | 2.90274e11 | − | 1.20235e11i | 0.244960 | − | 0.101466i | ||||
\(483\) | −3.60206e11 | − | 8.69613e11i | −0.301154 | − | 0.727050i | ||||
\(484\) | −7.32076e10 | − | 7.32076e10i | −0.0606390 | − | 0.0606390i | ||||
\(485\) | −1.00705e12 | − | 1.00705e12i | −0.826441 | − | 0.826441i | ||||
\(486\) | 3.73891e11 | + | 9.02652e11i | 0.304005 | + | 0.733934i | ||||
\(487\) | 6.74522e11 | − | 2.79396e11i | 0.543395 | − | 0.225082i | −0.0940634 | − | 0.995566i | \(-0.529986\pi\) |
0.637459 | + | 0.770484i | \(0.279986\pi\) | |||||||
\(488\) | 8.02398e9 | − | 1.93716e10i | 0.00640473 | − | 0.0154624i | ||||
\(489\) | 2.56900e12i | 2.03177i | ||||||||
\(490\) | −2.44007e12 | − | 1.01071e12i | −1.91214 | − | 0.792035i | ||||
\(491\) | −1.55074e12 | + | 1.55074e12i | −1.20413 | + | 1.20413i | −0.231227 | + | 0.972900i | \(0.574274\pi\) |
−0.972900 | + | 0.231227i | \(0.925726\pi\) | |||||||
\(492\) | −1.36000e9 | −0.00104640 | ||||||||
\(493\) | −5.84496e10 | + | 1.21510e12i | −0.0445626 | + | 0.926404i | ||||
\(494\) | −1.57919e12 | −1.19306 | ||||||||
\(495\) | 2.85302e11 | − | 2.85302e11i | 0.213590 | − | 0.213590i | ||||
\(496\) | 8.32604e11 | + | 3.44876e11i | 0.617690 | + | 0.255856i | ||||
\(497\) | − | 2.71612e12i | − | 1.99685i | ||||||
\(498\) | −7.23951e11 | + | 1.74777e12i | −0.527445 | + | 1.27336i | ||||
\(499\) | −1.94673e12 | + | 8.06362e11i | −1.40557 | + | 0.582207i | −0.951192 | − | 0.308600i | \(-0.900140\pi\) |
−0.454381 | + | 0.890807i | \(0.650140\pi\) | |||||||
\(500\) | −5.30450e11 | − | 1.28062e12i | −0.379559 | − | 0.916337i | ||||
\(501\) | −1.25279e12 | − | 1.25279e12i | −0.888398 | − | 0.888398i | ||||
\(502\) | −1.29066e12 | − | 1.29066e12i | −0.907076 | − | 0.907076i | ||||
\(503\) | 1.11753e11 | + | 2.69795e11i | 0.0778400 | + | 0.187922i | 0.958009 | − | 0.286738i | \(-0.0925709\pi\) |
−0.880169 | + | 0.474660i | \(0.842571\pi\) | |||||||
\(504\) | −7.07080e9 | + | 2.92882e9i | −0.00488125 | + | 0.00202188i | ||||
\(505\) | 2.99680e11 | − | 7.23492e11i | 0.205044 | − | 0.495020i | ||||
\(506\) | 9.57067e11i | 0.649030i | ||||||||
\(507\) | 7.10650e11 | + | 2.94361e11i | 0.477661 | + | 0.197854i | ||||
\(508\) | −8.88712e11 | + | 8.88712e11i | −0.592072 | + | 0.592072i | ||||
\(509\) | 3.27240e11 | 0.216091 | 0.108045 | − | 0.994146i | \(-0.465541\pi\) | ||||
0.108045 | + | 0.994146i | \(0.465541\pi\) | |||||||
\(510\) | −8.27272e11 | − | 2.30464e12i | −0.541480 | − | 1.50848i | ||||
\(511\) | −8.55376e10 | −0.0554962 | ||||||||
\(512\) | −1.55143e12 | + | 1.55143e12i | −0.997739 | + | 0.997739i | ||||
\(513\) | 1.33882e12 | + | 5.54556e11i | 0.853479 | + | 0.353522i | ||||
\(514\) | 2.74590e12i | 1.73521i | ||||||||
\(515\) | −7.73963e10 | + | 1.86851e11i | −0.0484828 | + | 0.117048i | ||||
\(516\) | 2.43163e12 | − | 1.00721e12i | 1.50999 | − | 0.625458i | ||||
\(517\) | −9.72758e11 | − | 2.34845e12i | −0.598822 | − | 1.44568i | ||||
\(518\) | −1.40292e12 | − | 1.40292e12i | −0.856147 | − | 0.856147i | ||||
\(519\) | 1.67711e12 | + | 1.67711e12i | 1.01463 | + | 1.01463i | ||||
\(520\) | 5.46616e9 | + | 1.31965e10i | 0.00327844 | + | 0.00791486i | ||||
\(521\) | 4.23798e11 | − | 1.75543e11i | 0.251994 | − | 0.104379i | −0.253111 | − | 0.967437i | \(-0.581454\pi\) |
0.505105 | + | 0.863058i | \(0.331454\pi\) | |||||||
\(522\) | −2.46260e11 | + | 5.94524e11i | −0.145170 | + | 0.350471i | ||||
\(523\) | 2.19925e11i | 0.128534i | 0.997933 | + | 0.0642669i | \(0.0204709\pi\) | ||||
−0.997933 | + | 0.0642669i | \(0.979529\pi\) | |||||||
\(524\) | 9.44879e11 | + | 3.91382e11i | 0.547502 | + | 0.226783i | ||||
\(525\) | 2.69111e8 | − | 2.69111e8i | 0.000154602 | − | 0.000154602i | ||||
\(526\) | 8.34954e11 | 0.475583 | ||||||||
\(527\) | −1.17293e12 | − | 5.64214e10i | −0.662408 | − | 0.0318637i | ||||
\(528\) | 2.13134e12 | 1.19344 | ||||||||
\(529\) | −1.02569e12 | + | 1.02569e12i | −0.569463 | + | 0.569463i | ||||
\(530\) | 6.43232e11 | + | 2.66436e11i | 0.354100 | + | 0.146673i | ||||
\(531\) | − | 9.25060e11i | − | 0.504946i | ||||||
\(532\) | 1.26138e12 | − | 3.04523e12i | 0.682719 | − | 1.64823i | ||||
\(533\) | −1.18035e9 | + | 4.88917e8i | −0.000633488 | + | 0.000262399i | ||||
\(534\) | −8.36563e11 | − | 2.01964e12i | −0.445208 | − | 1.07483i | ||||
\(535\) | 1.88893e12 | + | 1.88893e12i | 0.996838 | + | 0.996838i | ||||
\(536\) | −2.60834e10 | − | 2.60834e10i | −0.0136497 | − | 0.0136497i | ||||
\(537\) | 8.88790e11 | + | 2.14573e12i | 0.461227 | + | 1.11350i | ||||
\(538\) | −6.33608e11 | + | 2.62449e11i | −0.326062 | + | 0.135059i | ||||
\(539\) | −1.14633e12 | + | 2.76748e12i | −0.585004 | + | 1.41233i | ||||
\(540\) | 1.58050e12i | 0.799878i | ||||||||
\(541\) | 1.46492e12 | + | 6.06791e11i | 0.735237 | + | 0.304545i | 0.718702 | − | 0.695318i | \(-0.244737\pi\) |
0.0165348 | + | 0.999863i | \(0.494737\pi\) | |||||||
\(542\) | 3.64096e12 | − | 3.64096e12i | 1.81226 | − | 1.81226i | ||||
\(543\) | 4.62776e11 | 0.228440 | ||||||||
\(544\) | 1.22981e12 | − | 2.60711e12i | 0.602065 | − | 1.27633i | ||||
\(545\) | 3.38754e12 | 1.64475 | ||||||||
\(546\) | 2.72826e12 | − | 2.72826e12i | 1.31377 | − | 1.31377i | ||||
\(547\) | −3.38579e12 | − | 1.40244e12i | −1.61702 | − | 0.669793i | −0.623334 | − | 0.781956i | \(-0.714222\pi\) |
−0.993690 | + | 0.112163i | \(0.964222\pi\) | |||||||
\(548\) | − | 1.48043e12i | − | 0.701255i | ||||||
\(549\) | −3.40360e11 | + | 8.21702e11i | −0.159905 | + | 0.386046i | ||||
\(550\) | −3.57514e8 | + | 1.48087e8i | −0.000166595 | + | 6.90058e-5i | ||||
\(551\) | 8.79557e11 | + | 2.12344e12i | 0.406520 | + | 0.981426i | ||||
\(552\) | −8.97145e9 | − | 8.97145e9i | −0.00411279 | − | 0.00411279i | ||||
\(553\) | 2.02661e12 | + | 2.02661e12i | 0.921525 | + | 0.921525i | ||||
\(554\) | 5.80305e11 | + | 1.40098e12i | 0.261736 | + | 0.631885i | ||||
\(555\) | −1.28104e12 | + | 5.30626e11i | −0.573120 | + | 0.237394i | ||||
\(556\) | −1.46303e12 | + | 3.53207e12i | −0.649258 | + | 1.56745i | ||||
\(557\) | − | 1.44850e12i | − | 0.637632i | −0.947817 | − | 0.318816i | \(-0.896715\pi\) | ||
0.947817 | − | 0.318816i | \(-0.103285\pi\) | |||||||
\(558\) | −5.73893e11 | − | 2.37714e11i | −0.250598 | − | 0.103801i | ||||
\(559\) | 1.74833e12 | − | 1.74833e12i | 0.757303 | − | 0.757303i | ||||
\(560\) | −3.68466e12 | −1.58326 | ||||||||
\(561\) | −2.61388e12 | + | 9.38275e11i | −1.11417 | + | 0.399942i | ||||
\(562\) | −8.70470e10 | −0.0368079 | ||||||||
\(563\) | 2.43763e12 | − | 2.43763e12i | 1.02254 | − | 1.02254i | 0.0228010 | − | 0.999740i | \(-0.492742\pi\) |
0.999740 | − | 0.0228010i | \(-0.00725841\pi\) | |||||||
\(564\) | −3.75402e12 | − | 1.55497e12i | −1.56222 | − | 0.647091i | ||||
\(565\) | 1.60235e12i | 0.661514i | ||||||||
\(566\) | 5.19225e11 | − | 1.25352e12i | 0.212658 | − | 0.513402i | ||||
\(567\) | −4.30597e12 | + | 1.78359e12i | −1.74963 | + | 0.724722i | ||||
\(568\) | −1.40106e10 | − | 3.38245e10i | −0.00564792 | − | 0.0136353i | ||||
\(569\) | 2.07409e12 | + | 2.07409e12i | 0.829513 | + | 0.829513i | 0.987449 | − | 0.157936i | \(-0.0504841\pi\) |
−0.157936 | + | 0.987449i | \(0.550484\pi\) | |||||||
\(570\) | −3.27129e12 | − | 3.27129e12i | −1.29802 | − | 1.29802i | ||||
\(571\) | −1.85799e12 | − | 4.48559e12i | −0.731444 | − | 1.76586i | −0.637725 | − | 0.770264i | \(-0.720124\pi\) |
−0.0937195 | − | 0.995599i | \(-0.529876\pi\) | |||||||
\(572\) | −1.80477e12 | + | 7.47559e11i | −0.704919 | + | 0.291987i | ||||
\(573\) | 1.01906e12 | − | 2.46022e12i | 0.394915 | − | 0.953408i | ||||
\(574\) | − | 5.35542e9i | − | 0.00205916i | ||||||
\(575\) | 1.30971e8 | + | 5.42499e7i | 4.99654e−5 | + | 2.06963e-5i | ||||
\(576\) | 5.32436e11 | − | 5.32436e11i | 0.201542 | − | 0.201542i | ||||
\(577\) | 3.14368e12 | 1.18072 | 0.590360 | − | 0.807140i | \(-0.298986\pi\) | ||||
0.590360 | + | 0.807140i | \(0.298986\pi\) | |||||||
\(578\) | −3.63490e11 | + | 3.76952e12i | −0.135462 | + | 1.40479i | ||||
\(579\) | 1.60208e12 | 0.592420 | ||||||||
\(580\) | −1.77255e12 | + | 1.77255e12i | −0.650390 | + | 0.650390i | ||||
\(581\) | −3.42698e12 | − | 1.41950e12i | −1.24773 | − | 0.516825i | ||||
\(582\) | 5.18549e12i | 1.87343i | ||||||||
\(583\) | 3.02186e11 | − | 7.29541e11i | 0.108334 | − | 0.261542i | ||||
\(584\) | −1.06522e9 | + | 4.41229e8i | −0.000378950 | + | 0.000156966i | ||||
\(585\) | −2.31863e11 | − | 5.59766e11i | −0.0818521 | − | 0.197608i | ||||
\(586\) | 1.56628e11 | + | 1.56628e11i | 0.0548693 | + | 0.0548693i | ||||
\(587\) | 3.74660e11 | + | 3.74660e11i | 0.130246 | + | 0.130246i | 0.769225 | − | 0.638978i | \(-0.220643\pi\) |
−0.638978 | + | 0.769225i | \(0.720643\pi\) | |||||||
\(588\) | 1.83242e12 | + | 4.42385e12i | 0.632160 | + | 1.52617i | ||||
\(589\) | −2.04975e12 | + | 8.49036e11i | −0.701750 | + | 0.290675i | ||||
\(590\) | 2.76948e12 | − | 6.68611e12i | 0.940943 | − | 2.27164i | ||||
\(591\) | − | 1.03366e12i | − | 0.348525i | ||||||
\(592\) | −1.52050e12 | − | 6.29810e11i | −0.508789 | − | 0.210747i | ||||
\(593\) | −1.30887e12 | + | 1.30887e12i | −0.434660 | + | 0.434660i | −0.890210 | − | 0.455550i | \(-0.849443\pi\) |
0.455550 | + | 0.890210i | \(0.349443\pi\) | |||||||
\(594\) | 3.60002e12 | 1.18649 | ||||||||
\(595\) | 4.51888e12 | − | 1.62209e12i | 1.47810 | − | 0.530577i | ||||
\(596\) | −4.10338e12 | −1.33209 | ||||||||
\(597\) | −5.25806e10 | + | 5.25806e10i | −0.0169411 | + | 0.0169411i | ||||
\(598\) | 1.32779e12 | + | 5.49989e11i | 0.424594 | + | 0.175873i | ||||
\(599\) | − | 9.54735e11i | − | 0.303014i | −0.988456 | − | 0.151507i | \(-0.951587\pi\) | ||
0.988456 | − | 0.151507i | \(-0.0484126\pi\) | |||||||
\(600\) | 1.96315e6 | − | 4.73946e6i | 6.18404e−7 | − | 1.49296e-6i | ||||
\(601\) | 4.89651e12 | − | 2.02820e12i | 1.53092 | − | 0.634126i | 0.551174 | − | 0.834390i | \(-0.314180\pi\) |
0.979742 | + | 0.200264i | \(0.0641800\pi\) | |||||||
\(602\) | 3.96621e12 | + | 9.57528e12i | 1.23081 | + | 2.97144i | ||||
\(603\) | 1.10640e12 | + | 1.10640e12i | 0.340789 | + | 0.340789i | ||||
\(604\) | −1.14569e12 | − | 1.14569e12i | −0.350267 | − | 0.350267i | ||||
\(605\) | −1.09035e11 | − | 2.63234e11i | −0.0330877 | − | 0.0798808i | ||||
\(606\) | −2.63426e12 | + | 1.09115e12i | −0.793473 | + | 0.328667i | ||||
\(607\) | −1.05947e12 | + | 2.55778e12i | −0.316765 | + | 0.764739i | 0.682657 | + | 0.730739i | \(0.260825\pi\) |
−0.999422 | + | 0.0339997i | \(0.989175\pi\) | |||||||
\(608\) | − | 5.44624e12i | − | 1.61633i | ||||||
\(609\) | −5.18809e12 | − | 2.14898e12i | −1.52837 | − | 0.633073i | ||||
\(610\) | −4.92007e12 | + | 4.92007e12i | −1.43876 | + | 1.43876i | ||||
\(611\) | −3.81713e12 | −1.10803 | ||||||||
\(612\) | −4.25561e11 | + | 9.02156e11i | −0.122625 | + | 0.259956i | ||||
\(613\) | 6.26290e11 | 0.179144 | 0.0895722 | − | 0.995980i | \(-0.471450\pi\) | ||||
0.0895722 | + | 0.995980i | \(0.471450\pi\) | |||||||
\(614\) | −3.71252e11 | + | 3.71252e11i | −0.105417 | + | 0.105417i | ||||
\(615\) | −3.45788e9 | − | 1.43230e9i | −0.000974703 | − | 0.000403735i | ||||
\(616\) | 6.79083e10i | 0.0190025i | ||||||||
\(617\) | −1.44420e12 | + | 3.48661e12i | −0.401184 | + | 0.968545i | 0.586195 | + | 0.810170i | \(0.300625\pi\) |
−0.987379 | + | 0.158375i | \(0.949375\pi\) | |||||||
\(618\) | 6.80332e11 | − | 2.81803e11i | 0.187617 | − | 0.0777137i | ||||
\(619\) | −5.69735e11 | − | 1.37546e12i | −0.155979 | − | 0.376566i | 0.826501 | − | 0.562935i | \(-0.190328\pi\) |
−0.982480 | + | 0.186369i | \(0.940328\pi\) | |||||||
\(620\) | −1.71104e12 | − | 1.71104e12i | −0.465049 | − | 0.465049i | ||||
\(621\) | −9.32547e11 | − | 9.32547e11i | −0.251628 | − | 0.251628i | ||||
\(622\) | −1.49673e12 | − | 3.61343e12i | −0.400948 | − | 0.967973i | ||||
\(623\) | 3.96005e12 | − | 1.64031e12i | 1.05318 | − | 0.436244i | ||||
\(624\) | 1.22480e12 | − | 2.95692e12i | 0.323395 | − | 0.780744i | ||||
\(625\) | − | 3.81423e12i | − | 0.999877i | ||||||
\(626\) | 6.97733e12 | + | 2.89010e12i | 1.81595 | + | 0.752192i | ||||
\(627\) | −3.71023e12 | + | 3.71023e12i | −0.958731 | + | 0.958731i | ||||
\(628\) | 1.10169e12 | 0.282644 | ||||||||
\(629\) | 2.14200e12 | + | 1.03036e11i | 0.545622 | + | 0.0262460i | ||||
\(630\) | 2.53974e12 | 0.642328 | ||||||||
\(631\) | −5.79226e10 | + | 5.79226e10i | −0.0145451 | + | 0.0145451i | −0.714342 | − | 0.699797i | \(-0.753274\pi\) |
0.699797 | + | 0.714342i | \(0.253274\pi\) | |||||||
\(632\) | 3.56917e10 | + | 1.47840e10i | 0.00889899 | + | 0.00368608i | ||||
\(633\) | 1.69352e11i | 0.0419249i | ||||||||
\(634\) | −5.29896e11 | + | 1.27928e12i | −0.130253 | + | 0.314459i | ||||
\(635\) | −3.19556e12 | + | 1.32364e12i | −0.779946 | + | 0.323064i | ||||
\(636\) | −4.83048e11 | − | 1.16618e12i | −0.117067 | − | 0.282624i | ||||
\(637\) | 3.18072e12 | + | 3.18072e12i | 0.765417 | + | 0.765417i | ||||
\(638\) | 4.03746e12 | + | 4.03746e12i | 0.964752 | + | 0.964752i | ||||
\(639\) | 5.94298e11 | + | 1.43476e12i | 0.141010 | + | 0.340429i | ||||
\(640\) | −9.10262e10 | + | 3.77043e10i | −0.0214465 | + | 0.00888343i | ||||
\(641\) | −3.33558e11 | + | 8.05280e11i | −0.0780387 | + | 0.188402i | −0.958084 | − | 0.286488i | \(-0.907512\pi\) |
0.880045 | + | 0.474890i | \(0.157512\pi\) | |||||||
\(642\) | − | 9.72650e12i | − | 2.25969i | ||||||
\(643\) | 6.48078e11 | + | 2.68443e11i | 0.149513 | + | 0.0619302i | 0.456185 | − | 0.889885i | \(-0.349216\pi\) |
−0.306672 | + | 0.951815i | \(0.599216\pi\) | |||||||
\(644\) | −2.12114e12 | + | 2.12114e12i | −0.485941 | + | 0.485941i | ||||
\(645\) | 7.24332e12 | 1.64785 | ||||||||
\(646\) | 2.41731e12 | + | 6.73424e12i | 0.546118 | + | 1.52140i | ||||
\(647\) | −6.30742e12 | −1.41509 | −0.707543 | − | 0.706671i | \(-0.750196\pi\) | ||||
−0.707543 | + | 0.706671i | \(0.750196\pi\) | |||||||
\(648\) | −4.44230e10 | + | 4.44230e10i | −0.00989737 | + | 0.00989737i | ||||
\(649\) | −7.58325e12 | − | 3.14108e12i | −1.67785 | − | 0.694990i | ||||
\(650\) | 5.81098e8i | 0.000127685i | ||||||||
\(651\) | 2.07440e12 | − | 5.00806e12i | 0.452667 | − | 1.09284i | ||||
\(652\) | 7.56404e12 | − | 3.13313e12i | 1.63923 | − | 0.678991i | ||||
\(653\) | −7.96043e11 | − | 1.92182e12i | −0.171328 | − | 0.413622i | 0.814771 | − | 0.579783i | \(-0.196863\pi\) |
−0.986099 | + | 0.166161i | \(0.946863\pi\) | |||||||
\(654\) | −8.72158e12 | − | 8.72158e12i | −1.86421 | − | 1.86421i | ||||
\(655\) | 1.99022e12 | + | 1.99022e12i | 0.422489 | + | 0.422489i | ||||
\(656\) | −1.70003e9 | − | 4.10423e9i | −0.000358417 | − | 0.000865295i | ||||
\(657\) | 4.51843e10 | − | 1.87160e10i | 0.00946114 | − | 0.00391893i | ||||
\(658\) | 6.12315e12 | − | 1.47826e13i | 1.27338 | − | 3.07421i | ||||
\(659\) | − | 1.77225e12i | − | 0.366051i | −0.983108 | − | 0.183025i | \(-0.941411\pi\) | ||
0.983108 | − | 0.183025i | \(-0.0585890\pi\) | |||||||
\(660\) | −5.28714e12 | − | 2.19001e12i | −1.08461 | − | 0.449260i | ||||
\(661\) | 9.39346e11 | − | 9.39346e11i | 0.191390 | − | 0.191390i | −0.604907 | − | 0.796296i | \(-0.706790\pi\) |
0.796296 | + | 0.604907i | \(0.206790\pi\) | |||||||
\(662\) | −5.42849e12 | −1.09855 | ||||||||
\(663\) | −2.00376e11 | + | 4.16557e12i | −0.0402748 | + | 0.837266i | ||||
\(664\) | −4.99992e10 | −0.00998175 | ||||||||
\(665\) | 6.41424e12 | − | 6.41424e12i | 1.27188 | − | 1.27188i | ||||
\(666\) | 1.04804e12 | + | 4.34112e11i | 0.206416 | + | 0.0855004i | ||||
\(667\) | − | 2.09173e12i | − | 0.409203i | ||||||
\(668\) | −2.16076e12 | + | 5.21654e12i | −0.419868 | + | 1.01365i | ||||
\(669\) | −7.05919e12 | + | 2.92401e12i | −1.36250 | + | 0.564367i | ||||
\(670\) | 4.68442e12 | + | 1.13092e13i | 0.898089 | + | 2.16818i | ||||
\(671\) | 5.58025e12 | + | 5.58025e12i | 1.06268 | + | 1.06268i | ||||
\(672\) | 9.40913e12 | + | 9.40913e12i | 1.77987 | + | 1.77987i | ||||
\(673\) | 2.71863e12 | + | 6.56336e12i | 0.510838 | + | 1.23327i | 0.943397 | + | 0.331666i | \(0.107611\pi\) |
−0.432559 | + | 0.901605i | \(0.642389\pi\) | |||||||
\(674\) | 3.02812e11 | − | 1.25429e11i | 0.0565201 | − | 0.0234114i | ||||
\(675\) | 2.04061e8 | − | 4.92648e8i | 3.78350e−5 | − | 9.13418e-5i | ||||
\(676\) | − | 2.45140e12i | − | 0.451497i | ||||||
\(677\) | 1.04359e11 | + | 4.32271e10i | 0.0190934 | + | 0.00790874i | 0.392210 | − | 0.919876i | \(-0.371711\pi\) |
−0.373116 | + | 0.927785i | \(0.621711\pi\) | |||||||
\(678\) | 4.12541e12 | − | 4.12541e12i | 0.749780 | − | 0.749780i | ||||
\(679\) | −1.01676e13 | −1.83570 | ||||||||
\(680\) | 4.79074e10 | − | 4.35100e10i | 0.00859237 | − | 0.00780367i | ||||
\(681\) | 3.35391e12 | 0.597571 | ||||||||
\(682\) | −3.89736e12 | + | 3.89736e12i | −0.689828 | + | 0.689828i | ||||
\(683\) | 3.09603e12 | + | 1.28242e12i | 0.544392 | + | 0.225495i | 0.637894 | − | 0.770125i | \(-0.279806\pi\) |
−0.0935014 | + | 0.995619i | \(0.529806\pi\) | |||||||
\(684\) | 1.88460e12i | 0.329206i | ||||||||
\(685\) | 1.55913e12 | − | 3.76408e12i | 0.270567 | − | 0.653208i | ||||
\(686\) | −5.54225e12 | + | 2.29568e12i | −0.955493 | + | 0.395778i | ||||
\(687\) | 9.79875e11 | + | 2.36563e12i | 0.167828 | + | 0.405174i | ||||
\(688\) | 6.07916e12 | + | 6.07916e12i | 1.03442 | + | 1.03442i | ||||
\(689\) | −8.38477e11 | − | 8.38477e11i | −0.141744 | − | 0.141744i | ||||
\(690\) | 1.61122e12 | + | 3.88982e12i | 0.270603 | + | 0.653293i | ||||
\(691\) | −6.97270e12 | + | 2.88819e12i | −1.16346 | + | 0.481919i | −0.879024 | − | 0.476777i | \(-0.841805\pi\) |
−0.284432 | + | 0.958696i | \(0.591805\pi\) | |||||||
\(692\) | 2.89262e12 | − | 6.98340e12i | 0.479528 | − | 1.15768i | ||||
\(693\) | − | 2.88052e12i | − | 0.474430i | ||||||
\(694\) | 4.43787e12 | + | 1.83823e12i | 0.726201 | + | 0.300802i | ||||
\(695\) | −7.43968e12 | + | 7.43968e12i | −1.20955 | + | 1.20955i | ||||
\(696\) | −7.56936e10 | −0.0122269 | ||||||||
\(697\) | 3.89172e9 | + | 4.28504e9i | 0.000624588 | + | 0.000687714i | ||||
\(698\) | −1.40013e13 | −2.23264 | ||||||||
\(699\) | 6.85278e12 | − | 6.85278e12i | 1.08572 | − | 1.08572i | ||||
\(700\) | −1.12056e9 | − | 4.64152e8i | −0.000176399 | − | 7.30667e-5i | ||||
\(701\) | − | 1.61959e12i | − | 0.253323i | −0.991946 | − | 0.126662i | \(-0.959574\pi\) | ||
0.991946 | − | 0.126662i | \(-0.0404262\pi\) | |||||||
\(702\) | 2.06879e12 | − | 4.99450e12i | 0.321513 | − | 0.776202i | ||||
\(703\) | 3.74325e12 | − | 1.55050e12i | 0.578029 | − | 0.239427i | ||||
\(704\) | −2.55677e12 | − | 6.17259e12i | −0.392297 | − | 0.947089i | ||||
\(705\) | −7.90718e12 | − | 7.90718e12i | −1.20551 | − | 1.20551i | ||||
\(706\) | −7.50735e11 | − | 7.50735e11i | −0.113727 | − | 0.113727i | ||||
\(707\) | −2.13949e12 | − | 5.16518e12i | −0.322050 | − | 0.777496i | ||||
\(708\) | −1.21219e13 | + | 5.02106e12i | −1.81310 | + | 0.751011i | ||||
\(709\) | −6.57643e11 | + | 1.58769e12i | −0.0977422 | + | 0.235971i | −0.965186 | − | 0.261565i | \(-0.915761\pi\) |
0.867444 | + | 0.497535i | \(0.165761\pi\) | |||||||
\(710\) | 1.21493e13i | 1.79428i | ||||||||
\(711\) | −1.51396e12 | − | 6.27105e11i | −0.222179 | − | 0.0920295i | ||||
\(712\) | 4.08543e10 | − | 4.08543e10i | 0.00595768 | − | 0.00595768i | ||||
\(713\) | 2.01914e12 | 0.292593 | ||||||||
\(714\) | −1.58106e13 | − | 7.45808e12i | −2.27670 | − | 1.07395i | ||||
\(715\) | −5.37602e12 | −0.769279 | ||||||||
\(716\) | 5.23382e12 | − | 5.23382e12i | 0.744236 | − | 0.744236i | ||||
\(717\) | 6.87110e12 | + | 2.84610e12i | 0.970935 | + | 0.402175i | ||||
\(718\) | 6.53982e12i | 0.918345i | ||||||||
\(719\) | 5.14369e12 | − | 1.24180e13i | 0.717786 | − | 1.73289i | 0.0382249 | − | 0.999269i | \(-0.487830\pi\) |
0.679561 | − | 0.733619i | \(-0.262170\pi\) | |||||||
\(720\) | 1.94638e12 | − | 8.06217e11i | 0.269918 | − | 0.111804i | ||||
\(721\) | 5.52551e11 | + | 1.33398e12i | 0.0761489 | + | 0.183840i | ||||
\(722\) | 2.27223e12 | + | 2.27223e12i | 0.311197 | + | 0.311197i | ||||
\(723\) | −1.10849e12 | − | 1.10849e12i | −0.150872 | − | 0.150872i | ||||
\(724\) | −5.64397e11 | − | 1.36258e12i | −0.0763416 | − | 0.184305i | ||||
\(725\) | 7.81368e8 | − | 3.23653e8i | 0.000105035 | − | 4.35070e-5i | ||||
\(726\) | −3.97001e11 | + | 9.58444e11i | −0.0530367 | + | 0.128042i | ||||
\(727\) | 1.27527e13i | 1.69316i | 0.532263 | + | 0.846579i | \(0.321342\pi\) | ||||
−0.532263 | + | 0.846579i | \(0.678658\pi\) | |||||||
\(728\) | 9.42129e10 | + | 3.90243e10i | 0.0124314 | + | 0.00514924i | ||||
\(729\) | −3.05490e12 | + | 3.05490e12i | −0.400611 | + | 0.400611i | ||||
\(730\) | 3.82614e11 | 0.0498663 | ||||||||
\(731\) | −1.01317e13 | − | 4.77929e12i | −1.31237 | − | 0.619063i | ||||
\(732\) | 1.26149e13 | 1.62400 | ||||||||
\(733\) | 8.09689e12 | − | 8.09689e12i | 1.03598 | − | 1.03598i | 0.0366492 | − | 0.999328i | \(-0.488332\pi\) |
0.999328 | − | 0.0366492i | \(-0.0116684\pi\) | |||||||
\(734\) | −9.43796e12 | − | 3.90933e12i | −1.20018 | − | 0.497130i | ||||
\(735\) | 1.31777e13i | 1.66551i | ||||||||
\(736\) | −1.89678e12 | + | 4.57923e12i | −0.238269 | + | 0.575231i | ||||
\(737\) | 1.28267e13 | − | 5.31298e12i | 1.60144 | − | 0.663337i | ||||
\(738\) | 1.17179e9 | + | 2.82894e9i | 0.000145410 | + | 0.000351051i | ||||
\(739\) | −9.02381e12 | − | 9.02381e12i | −1.11299 | − | 1.11299i | −0.992745 | − | 0.120242i | \(-0.961633\pi\) |
−0.120242 | − | 0.992745i | \(-0.538367\pi\) | |||||||
\(740\) | 3.12470e12 | + | 3.12470e12i | 0.383059 | + | 0.383059i | ||||
\(741\) | 3.01528e12 | + | 7.27952e12i | 0.367405 | + | 0.886994i | ||||
\(742\) | 4.59219e12 | − | 1.90215e12i | 0.556163 | − | 0.230370i | ||||
\(743\) | −1.73861e12 | + | 4.19739e12i | −0.209292 | + | 0.505277i | −0.993312 | − | 0.115459i | \(-0.963166\pi\) |
0.784020 | + | 0.620736i | \(0.213166\pi\) | |||||||
\(744\) | − | 7.30669e10i | − | 0.00874264i | ||||||
\(745\) | −1.04331e13 | − | 4.32152e12i | −1.24082 | − | 0.513965i | ||||
\(746\) | −3.91766e12 | + | 3.91766e12i | −0.463129 | + | 0.463129i | ||||
\(747\) | 2.12086e12 | 0.249212 | ||||||||
\(748\) | 5.95048e12 | + | 6.55188e12i | 0.695016 | + | 0.765259i | ||||
\(749\) | 1.90714e13 | 2.21419 | ||||||||
\(750\) | −9.82133e12 | + | 9.82133e12i | −1.13343 | + | 1.13343i | ||||
\(751\) | −8.21191e12 | − | 3.40149e12i | −0.942030 | − | 0.390202i | −0.141800 | − | 0.989895i | \(-0.545289\pi\) |
−0.800230 | + | 0.599694i | \(0.795289\pi\) | |||||||
\(752\) | − | 1.32727e13i | − | 1.51348i | ||||||
\(753\) | −3.48513e12 | + | 8.41384e12i | −0.395040 | + | 0.953711i | ||||
\(754\) | 7.92156e12 | − | 3.28122e12i | 0.892565 | − | 0.369712i | ||||
\(755\) | −1.70638e12 | − | 4.11957e12i | −0.191124 | − | 0.461413i | ||||
\(756\) | 7.97871e12 | + | 7.97871e12i | 0.888351 | + | 0.888351i | ||||
\(757\) | 4.45431e12 | + | 4.45431e12i | 0.493003 | + | 0.493003i | 0.909251 | − | 0.416248i | \(-0.136655\pi\) |
−0.416248 | + | 0.909251i | \(0.636655\pi\) | |||||||
\(758\) | −1.63858e12 | − | 3.95587e12i | −0.180283 | − | 0.435242i | ||||
\(759\) | 4.41175e12 | − | 1.82741e12i | 0.482529 | − | 0.199870i | ||||
\(760\) | 4.67915e10 | − | 1.12965e11i | 0.00508751 | − | 0.0122823i | ||||
\(761\) | 2.40574e12i | 0.260026i | 0.991512 | + | 0.130013i | \(0.0415019\pi\) | ||||
−0.991512 | + | 0.130013i | \(0.958498\pi\) | |||||||
\(762\) | 1.16351e13 | + | 4.81944e12i | 1.25019 | + | 0.517844i | ||||
\(763\) | 1.71010e13 | − | 1.71010e13i | 1.82667 | − | 1.82667i | ||||
\(764\) | −8.48660e12 | −0.901185 | ||||||||
\(765\) | −2.03213e12 | + | 1.84560e12i | −0.214523 | + | 0.194832i | ||||
\(766\) | 1.84792e13 | 1.93934 | ||||||||
\(767\) | −8.71559e12 | + | 8.71559e12i | −0.909322 | + | 0.909322i | ||||
\(768\) | 1.02802e13 | + | 4.25821e12i | 1.06629 | + | 0.441674i | ||||
\(769\) | 1.51735e12i | 0.156465i | 0.996935 | + | 0.0782326i | \(0.0249277\pi\) | ||||
−0.996935 | + | 0.0782326i | \(0.975072\pi\) | |||||||
\(770\) | 8.62381e12 | − | 2.08197e13i | 0.884078 | − | 2.13435i | ||||
\(771\) | 1.26577e13 | − | 5.24298e12i | 1.29006 | − | 0.534359i | ||||
\(772\) | −1.95388e12 | − | 4.71708e12i | −0.197979 | − | 0.477964i | ||||
\(773\) | −9.83052e12 | − | 9.83052e12i | −0.990304 | − | 0.990304i | 0.00964939 | − | 0.999953i | \(-0.496928\pi\) |
−0.999953 | + | 0.00964939i | \(0.996928\pi\) | |||||||
\(774\) | −4.19021e12 | − | 4.19021e12i | −0.419664 | − | 0.419664i | ||||
\(775\) | 3.12422e8 | + | 7.54254e8i | 3.11089e−5 | + | 7.51034e-5i | ||||
\(776\) | −1.26619e11 | + | 5.24473e10i | −0.0125349 | + | 0.00519213i | ||||
\(777\) | −3.78826e12 | + | 9.14568e12i | −0.372860 | + | 0.900163i | ||||
\(778\) | − | 1.08700e13i | − | 1.06370i | ||||||
\(779\) | 1.01040e10 | + | 4.18523e9i | 0.000983051 | + | 0.000407193i | ||||
\(780\) | −6.07663e12 | + | 6.07663e12i | −0.587810 | + | 0.587810i | ||||
\(781\) | 1.37795e13 | 1.32527 | ||||||||
\(782\) | 3.12864e11 | − | 6.50407e12i | 0.0299175 | − | 0.621949i | ||||
\(783\) | −7.86805e12 | −0.748065 | ||||||||
\(784\) | −1.10598e13 | + | 1.10598e13i | −1.04550 | + | 1.04550i | ||||
\(785\) | 2.80110e12 | + | 1.16025e12i | 0.263279 | + | 0.109054i | ||||
\(786\) | − | 1.02481e13i | − | 0.957723i | ||||||
\(787\) | −5.75247e12 | + | 1.38877e13i | −0.534525 | + | 1.29046i | 0.393973 | + | 0.919122i | \(0.371100\pi\) |
−0.928498 | + | 0.371337i | \(0.878900\pi\) | |||||||
\(788\) | −3.04346e12 | + | 1.26064e12i | −0.281190 | + | 0.116473i | ||||
\(789\) | −1.59425e12 | − | 3.84885e12i | −0.146457 | − | 0.353578i | ||||
\(790\) | −9.06511e12 | − | 9.06511e12i | −0.828040 | − | 0.828040i | ||||
\(791\) | 8.08899e12 | + | 8.08899e12i | 0.734683 | + | 0.734683i | ||||
\(792\) | −1.48586e10 | − | 3.58719e10i | −0.00134188 | − | 0.00323959i | ||||
\(793\) | 1.09485e13 | − | 4.53503e12i | 0.983165 | − | 0.407240i | ||||
\(794\) | −4.13040e12 | + | 9.97167e12i | −0.368808 | + | 0.890381i | ||||
\(795\) | − | 3.47381e12i | − | 0.308428i | ||||||
\(796\) | 2.18942e11 | + | 9.06889e10i | 0.0193295 | + | 0.00800655i | ||||
\(797\) | −1.29347e13 | + | 1.29347e13i | −1.13552 | + | 1.13552i | −0.146270 | + | 0.989245i | \(0.546727\pi\) |
−0.989245 | + | 0.146270i | \(0.953273\pi\) | |||||||
\(798\) | −3.30283e13 | −2.88319 | ||||||||
\(799\) | 5.84300e12 | + | 1.62776e13i | 0.507195 | + | 1.41296i | ||||
\(800\) | −2.00407e9 | −0.000172985 | ||||||||
\(801\) | −1.73295e12 | + | 1.73295e12i | −0.148744 | + | 0.148744i | ||||
\(802\) | −2.00139e13 | − | 8.29002e12i | −1.70823 | − | 0.707572i | ||||
\(803\) | − | 4.33953e11i | − | 0.0368317i | ||||||
\(804\) | 8.49286e12 | − | 2.05036e13i | 0.716807 | − | 1.73052i | ||||
\(805\) | −7.62704e12 | + | 3.15922e12i | −0.640139 | + | 0.265154i | ||||
\(806\) | 3.16736e12 | + | 7.64667e12i | 0.264356 | + | 0.638212i | ||||
\(807\) | 2.41960e12 | + | 2.41960e12i | 0.200823 | + | 0.200823i | ||||
\(808\) | −5.32871e10 | − | 5.32871e10i | −0.00439816 | − | 0.00439816i | ||||
\(809\) | 2.64472e11 | + | 6.38492e11i | 0.0217076 | + | 0.0524067i | 0.934362 | − | 0.356326i | \(-0.115971\pi\) |
−0.912654 | + | 0.408733i | \(0.865971\pi\) | |||||||
\(810\) | 1.92608e13 | − | 7.97808e12i | 1.57214 | − | 0.651202i | ||||
\(811\) | −5.45733e12 | + | 1.31752e13i | −0.442983 | + | 1.06945i | 0.531914 | + | 0.846798i | \(0.321473\pi\) |
−0.974897 | + | 0.222656i | \(0.928527\pi\) | |||||||
\(812\) | 1.78964e13i | 1.44466i | ||||||||
\(813\) | −2.37356e13 | − | 9.83161e12i | −1.90543 | − | 0.789255i | ||||
\(814\) | 7.11733e12 | − | 7.11733e12i | 0.568208 | − | 0.568208i | ||||
\(815\) | 2.25317e13 | 1.78889 | ||||||||
\(816\) | −1.44842e13 | − | 6.96732e11i | −1.14364 | − | 0.0550123i | ||||
\(817\) | −2.11652e13 | −1.66197 | ||||||||
\(818\) | −8.57896e12 | + | 8.57896e12i | −0.669954 | + | 0.669954i | ||||
\(819\) | −3.99631e12 | − | 1.65532e12i | −0.310371 | − | 0.128560i | ||||
\(820\) | 1.19281e10i | 0.000921313i | ||||||||
\(821\) | −1.66632e12 | + | 4.02286e12i | −0.128002 | + | 0.309023i | −0.974868 | − | 0.222782i | \(-0.928486\pi\) |
0.846867 | + | 0.531805i | \(0.178486\pi\) | |||||||
\(822\) | −1.37052e13 | + | 5.67686e12i | −1.04703 | + | 0.433696i | ||||
\(823\) | 4.81446e12 | + | 1.16231e13i | 0.365804 | + | 0.883129i | 0.994428 | + | 0.105419i | \(0.0336185\pi\) |
−0.628624 | + | 0.777709i | \(0.716381\pi\) | |||||||
\(824\) | 1.37621e10 | + | 1.37621e10i | 0.00103995 | + | 0.00103995i | ||||
\(825\) | 1.36526e9 | + | 1.36526e9i | 0.000102606 | + | 0.000102606i | ||||
\(826\) | −1.97720e13 | − | 4.77337e13i | −1.47788 | − | 3.56792i | ||||
\(827\) | 1.50917e13 | − | 6.25121e12i | 1.12193 | − | 0.464718i | 0.256898 | − | 0.966439i | \(-0.417300\pi\) |
0.865030 | + | 0.501721i | \(0.167300\pi\) | |||||||
\(828\) | 6.56357e11 | − | 1.58459e12i | 0.0485293 | − | 0.117160i | ||||
\(829\) | 2.48744e13i | 1.82918i | 0.404380 | + | 0.914591i | \(0.367487\pi\) | ||||
−0.404380 | + | 0.914591i | \(0.632513\pi\) | |||||||
\(830\) | 1.53290e13 | + | 6.34949e12i | 1.12115 | + | 0.464395i | ||||
\(831\) | 5.35002e12 | − | 5.35002e12i | 0.389180 | − | 0.389180i | ||||
\(832\) | −1.00328e13 | −0.725887 | ||||||||
\(833\) | 8.69494e12 | − | 1.84326e13i | 0.625697 | − | 1.32643i | ||||
\(834\) | 3.83085e13 | 2.74187 | ||||||||
\(835\) | −1.09877e13 | + | 1.09877e13i | −0.782200 | + | 0.782200i | ||||
\(836\) | 1.54492e13 | + | 6.39926e12i | 1.09390 | + | 0.453108i | ||||
\(837\) | − | 7.59502e12i | − | 0.534890i | ||||||
\(838\) | −7.70327e12 | + | 1.85973e13i | −0.539606 | + | 1.30272i | ||||
\(839\) | 1.49037e13 | − | 6.17331e12i | 1.03840 | − | 0.430120i | 0.202663 | − | 0.979249i | \(-0.435040\pi\) |
0.835738 | + | 0.549129i | \(0.185040\pi\) | |||||||
\(840\) | 1.14323e11 | + | 2.76001e11i | 0.00792278 | + | 0.0191273i | ||||
\(841\) | 1.43399e12 | + | 1.43399e12i | 0.0988470 | + | 0.0988470i | ||||
\(842\) | −7.60476e12 | − | 7.60476e12i | −0.521412 | − | 0.521412i | ||||
\(843\) | 1.66206e11 | + | 4.01257e11i | 0.0113350 | + | 0.0273652i | ||||
\(844\) | 4.98631e11 | − | 2.06540e11i | 0.0338250 | − | 0.0140108i | ||||
\(845\) | 2.58172e12 | − | 6.23283e12i | 0.174202 | − | 0.420562i | ||||
\(846\) | 9.14851e12i | 0.614022i | ||||||||
\(847\) | −1.87929e12 | − | 7.78427e11i | −0.125464 | − | 0.0519688i | ||||
\(848\) | 2.91549e12 | − | 2.91549e12i | 0.193611 | − | 0.193611i | ||||
\(849\) | −6.76970e12 | −0.447182 | ||||||||
\(850\) | 2.47802e9 | − | 8.89505e8i | 0.000162824 | − | 5.84472e-5i | ||||
\(851\) | −3.68734e12 | −0.241007 | ||||||||
\(852\) | 1.55753e13 | − | 1.55753e13i | 1.01265 | − | 1.01265i | ||||
\(853\) | 1.19462e10 | + | 4.94827e9i | 0.000772606 | + | 0.000320024i | 0.383070 | − | 0.923719i | \(-0.374867\pi\) |
−0.382297 | + | 0.924039i | \(0.624867\pi\) | |||||||
\(854\) | 4.96751e13i | 3.19579i | ||||||||
\(855\) | −1.98479e12 | + | 4.79171e12i | −0.127019 | + | 0.306650i | ||||
\(856\) | 2.37501e11 | − | 9.83762e10i | 0.0151194 | − | 0.00626265i | ||||
\(857\) | −5.46155e11 | − | 1.31853e12i | −0.0345861 | − | 0.0834983i | 0.905643 | − | 0.424042i | \(-0.139389\pi\) |
−0.940229 | + | 0.340543i | \(0.889389\pi\) | |||||||
\(858\) | 1.38411e13 | + | 1.38411e13i | 0.871924 | + | 0.871924i | ||||
\(859\) | −6.39993e12 | − | 6.39993e12i | −0.401057 | − | 0.401057i | 0.477548 | − | 0.878605i | \(-0.341526\pi\) |
−0.878605 | + | 0.477548i | \(0.841526\pi\) | |||||||
\(860\) | −8.83388e12 | − | 2.13269e13i | −0.550692 | − | 1.32949i | ||||
\(861\) | −2.46867e10 | + | 1.02256e10i | −0.00153090 | + | 0.000634122i | ||||
\(862\) | 2.53516e12 | − | 6.12042e12i | 0.156395 | − | 0.377571i | ||||
\(863\) | 1.02844e13i | 0.631148i | 0.948901 | + | 0.315574i | \(0.102197\pi\) | ||||
−0.948901 | + | 0.315574i | \(0.897803\pi\) | |||||||
\(864\) | 1.72248e13 | + | 7.13476e12i | 1.05158 | + | 0.435580i | ||||
\(865\) | 1.47093e13 | − | 1.47093e13i | 0.893345 | − | 0.893345i | ||||
\(866\) | 2.08417e13 | 1.25923 | ||||||||
\(867\) | 1.80702e13 | − | 5.52189e12i | 1.08612 | − | 0.331896i | ||||
\(868\) | −1.72754e13 | −1.03297 | ||||||||
\(869\) | −1.02815e13 | + | 1.02815e13i | −0.611598 | + | 0.611598i | ||||
\(870\) | 2.32065e13 | + | 9.61247e12i | 1.37333 | + | 0.568851i | ||||
\(871\) | − | 2.08483e13i | − | 1.22741i | ||||||
\(872\) | 1.24751e11 | − | 3.01175e11i | 0.00730666 | − | 0.0176398i | ||||
\(873\) | 5.37090e12 | − | 2.22470e12i | 0.312956 | − | 0.129631i | ||||
\(874\) | −4.70802e12 | − | 1.13662e13i | −0.272921 | − | 0.658889i | ||||
\(875\) | −1.92574e13 | − | 1.92574e13i | −1.11061 | − | 1.11061i | ||||
\(876\) | −4.90505e11 | − | 4.90505e11i | −0.0281433 | − | 0.0281433i | ||||
\(877\) | −2.60211e12 | − | 6.28206e12i | −0.148535 | − | 0.358595i | 0.832047 | − | 0.554705i | \(-0.187169\pi\) |
−0.980582 | + | 0.196110i | \(0.937169\pi\) | |||||||
\(878\) | −1.76838e13 | + | 7.32485e12i | −1.00427 | + | 0.415981i | ||||
\(879\) | 4.22938e11 | − | 1.02106e12i | 0.0238961 | − | 0.0576903i | ||||
\(880\) | − | 1.86931e13i | − | 1.05078i | ||||||
\(881\) | −2.84928e13 | − | 1.18021e13i | −1.59347 | − | 0.660037i | −0.602997 | − | 0.797744i | \(-0.706027\pi\) |
−0.990473 | + | 0.137707i | \(0.956027\pi\) | |||||||
\(882\) | 7.62324e12 | − | 7.62324e12i | 0.424161 | − | 0.424161i | ||||
\(883\) | −3.17104e13 | −1.75541 | −0.877706 | − | 0.479200i | \(-0.840927\pi\) | ||||
−0.877706 | + | 0.479200i | \(0.840927\pi\) | |||||||
\(884\) | 1.25093e13 | − | 4.49031e12i | 0.688965 | − | 0.247310i | ||||
\(885\) | −3.61087e13 | −1.97864 | ||||||||
\(886\) | −3.13220e12 | + | 3.13220e12i | −0.170764 | + | 0.170764i | ||||
\(887\) | −6.36691e12 | − | 2.63726e12i | −0.345361 | − | 0.143053i | 0.203259 | − | 0.979125i | \(-0.434847\pi\) |
−0.548620 | + | 0.836072i | \(0.684847\pi\) | |||||||
\(888\) | 1.33434e11i | 0.00720127i | ||||||||
\(889\) | −9.44980e12 | + | 2.28138e13i | −0.507417 | + | 1.22501i | ||||
\(890\) | −1.77135e13 | + | 7.33717e12i | −0.946344 | + | 0.391988i | ||||
\(891\) | −9.04858e12 | − | 2.18452e13i | −0.480984 | − | 1.16120i | ||||
\(892\) | 1.72186e13 | + | 1.72186e13i | 0.910662 | + | 0.910662i | ||||
\(893\) | 2.31050e13 | + | 2.31050e13i | 1.21583 | + | 1.21583i | ||||
\(894\) | 1.57348e13 | + | 3.79872e13i | 0.823840 | + | 1.98893i | ||||
\(895\) | 1.88194e13 | − | 7.79523e12i | 0.980395 | − | 0.406093i | ||||
\(896\) | −2.69180e11 | + | 6.49858e11i | −0.0139526 | + | 0.0336847i | ||||
\(897\) | − | 7.17080e12i | − | 0.369830i | ||||||
\(898\) | 5.25369e12 | + | 2.17615e12i | 0.269601 | + | 0.111672i | ||||
\(899\) | 8.51791e12 | − | 8.51791e12i | 0.434925 | − | 0.434925i | ||||
\(900\) | 6.93484e8 | 3.52326e−5 | ||||||||
\(901\) | −2.29209e12 | + | 4.85906e12i | −0.115870 | + | 0.245635i | ||||
\(902\) | 2.71693e10 | 0.00136662 | ||||||||
\(903\) | 3.65657e13 | − | 3.65657e13i | 1.83012 | − | 1.83012i | ||||
\(904\) | 1.42460e11 | + | 5.90087e10i | 0.00709469 | + | 0.00293872i | ||||
\(905\) | − | 4.05883e12i | − | 0.201132i | ||||||
\(906\) | −6.21300e12 | + | 1.49995e13i | −0.306355 | + | 0.739605i | ||||
\(907\) | 1.95718e13 | − | 8.10691e12i | 0.960281 | − | 0.397761i | 0.153196 | − | 0.988196i | \(-0.451044\pi\) |
0.807086 | + | 0.590434i | \(0.201044\pi\) | |||||||
\(908\) | −4.09040e12 | − | 9.87510e12i | −0.199701 | − | 0.482120i | ||||
\(909\) | 2.26032e12 | + | 2.26032e12i | 0.109808 | + | 0.109808i | ||||
\(910\) | −2.39285e13 | − | 2.39285e13i | −1.15672 | − | 1.15672i | ||||
\(911\) | 1.48007e13 | + | 3.57320e13i | 0.711949 | + | 1.71880i | 0.695074 | + | 0.718938i | \(0.255372\pi\) |
0.0168748 | + | 0.999858i | \(0.494628\pi\) | |||||||
\(912\) | −2.53118e13 | + | 1.04845e13i | −1.21157 | + | 0.501847i | ||||
\(913\) | 7.20147e12 | − | 1.73859e13i | 0.343007 | − | 0.828091i | ||||
\(914\) | 5.19778e12i | 0.246354i | ||||||||
\(915\) | 3.20742e13 | + | 1.32856e13i | 1.51273 | + | 0.626592i | ||||
\(916\) | 5.77020e12 | − | 5.77020e12i | 0.270808 | − | 0.270808i | ||||
\(917\) | 2.00941e13 | 0.938439 | ||||||||
\(918\) | −2.44651e13 | − | 1.17684e12i | −1.13699 | − | 0.0546923i | ||||
\(919\) | 3.05320e11 | 0.0141200 | 0.00706000 | − | 0.999975i | \(-0.497753\pi\) | ||||
0.00706000 | + | 0.999975i | \(0.497753\pi\) | |||||||
\(920\) | −7.86851e10 | + | 7.86851e10i | −0.00362116 | + | 0.00362116i | ||||
\(921\) | 2.42021e12 | + | 1.00248e12i | 0.110837 | + | 0.0459102i | ||||
\(922\) | − | 4.58105e13i | − | 2.08774i | ||||||
\(923\) | 7.91856e12 | − | 1.91171e13i | 0.359119 | − | 0.866990i | ||||
\(924\) | −3.77462e13 | + | 1.56350e13i | −1.70353 | + | 0.705624i | ||||
\(925\) | −5.70543e8 | − | 1.37741e9i | −2.56242e−5 | − | 6.18623e-5i | ||||
\(926\) | 1.81962e13 | + | 1.81962e13i | 0.813262 | + | 0.813262i | ||||
\(927\) | −5.83758e11 | − | 5.83758e11i | −0.0259641 | − | 0.0259641i | ||||
\(928\) | 1.13161e13 | + | 2.73196e13i | 0.500879 | + | 1.20923i | ||||
\(929\) | −1.08502e13 | + | 4.49432e12i | −0.477935 | + | 0.197967i | −0.608628 | − | 0.793456i | \(-0.708280\pi\) |
0.130693 | + | 0.991423i | \(0.458280\pi\) | |||||||
\(930\) | −9.27890e12 | + | 2.24013e13i | −0.406746 | + | 0.981972i | ||||
\(931\) | − | 3.85057e13i | − | 1.67978i | ||||||
\(932\) | −2.85346e13 | − | 1.18194e13i | −1.23880 | − | 0.513127i | ||||
\(933\) | −1.37989e13 | + | 1.37989e13i | −0.596178 | + | 0.596178i | ||||
\(934\) | 2.94677e13 | 1.26703 | ||||||||
\(935\) | 8.22924e12 | + | 2.29253e13i | 0.352134 | + | 0.980987i | ||||
\(936\) | −5.83056e10 | −0.00248296 | ||||||||
\(937\) | −1.47488e13 | + | 1.47488e13i | −0.625070 | + | 0.625070i | −0.946824 | − | 0.321753i | \(-0.895728\pi\) |
0.321753 | + | 0.946824i | \(0.395728\pi\) | |||||||
\(938\) | 8.07390e13 | + | 3.34432e13i | 3.40542 | + | 1.41057i | ||||
\(939\) | − | 3.76814e13i | − | 1.58173i | ||||||
\(940\) | −1.36380e13 | + | 3.29251e13i | −0.569739 | + | 1.37547i | ||||
\(941\) | −3.41670e13 | + | 1.41524e13i | −1.42054 | + | 0.588407i | −0.954996 | − | 0.296617i | \(-0.904141\pi\) |
−0.465544 | + | 0.885025i | \(0.654141\pi\) | |||||||
\(942\) | −4.22453e12 | − | 1.01989e13i | −0.174803 | − | 0.422012i | ||||
\(943\) | −7.03793e9 | − | 7.03793e9i | −0.000289829 | − | 0.000289829i | ||||
\(944\) | −3.03052e13 | − | 3.03052e13i | −1.24206 | − | 1.24206i | ||||
\(945\) | 1.18834e13 | + | 2.86892e13i | 0.484729 | + | 1.17024i | ||||
\(946\) | −4.85776e13 | + | 2.01215e13i | −1.97209 | + | 0.816866i | ||||
\(947\) | −1.25104e13 | + | 3.02029e13i | −0.505473 | + | 1.22032i | 0.440992 | + | 0.897511i | \(0.354627\pi\) |
−0.946465 | + | 0.322808i | \(0.895373\pi\) | |||||||
\(948\) | 2.32427e13i | 0.934650i | ||||||||
\(949\) | −6.02046e11 | − | 2.49375e11i | −0.0240953 | − | 0.00998058i | ||||
\(950\) | 3.51738e9 | − | 3.51738e9i | 0.000140108 | − | 0.000140108i | ||||
\(951\) | 6.90883e12 | 0.273900 | ||||||||
\(952\) | 2.21992e10 | − | 4.61494e11i | 0.000875932 | − | 0.0182096i | ||||
\(953\) | −3.10457e13 | −1.21922 | −0.609612 | − | 0.792700i | \(-0.708675\pi\) | ||||
−0.609612 | + | 0.792700i | \(0.708675\pi\) | |||||||
\(954\) | −2.00958e12 | + | 2.00958e12i | −0.0785484 | + | 0.0785484i | ||||
\(955\) | −2.15777e13 | − | 8.93776e12i | −0.839440 | − | 0.347707i | ||||
\(956\) | − | 2.37020e13i | − | 0.917751i | ||||||
\(957\) | 1.09023e13 | − | 2.63204e13i | 0.420158 | − | 1.01435i | ||||
\(958\) | 1.21181e13 | − | 5.01948e12i | 0.464826 | − | 0.192537i | ||||
\(959\) | −1.11310e13 | − | 2.68727e13i | −0.424963 | − | 1.02595i | ||||
\(960\) | −2.07830e13 | − | 2.07830e13i | −0.789747 | − | 0.789747i | ||||
\(961\) | −1.04733e13 | − | 1.04733e13i | −0.396122 | − | 0.396122i | ||||
\(962\) | −5.78420e12 | − | 1.39643e13i | −0.217749 | − | 0.525692i | ||||
\(963\) | −1.00743e13 | + | 4.17290e12i | −0.377482 | + | 0.156358i | ||||
\(964\) | −1.91188e12 | + | 4.61568e12i | −0.0713039 | + | 0.172143i | ||||
\(965\) | − | 1.40512e13i | − | 0.521603i | ||||||
\(966\) | 2.77703e13 | + | 1.15029e13i | 1.02609 | + | 0.425019i | ||||
\(967\) | −8.03940e12 | + | 8.03940e12i | −0.295668 | + | 0.295668i | −0.839314 | − | 0.543646i | \(-0.817043\pi\) |
0.543646 | + | 0.839314i | \(0.317043\pi\) | |||||||
\(968\) | −2.74186e10 | −0.00100370 | ||||||||
\(969\) | 2.64270e13 | − | 2.40012e13i | 0.962920 | − | 0.874533i | ||||
\(970\) | 4.54799e13 | 1.64948 | ||||||||
\(971\) | 1.65772e13 | − | 1.65772e13i | 0.598446 | − | 0.598446i | −0.341453 | − | 0.939899i | \(-0.610919\pi\) |
0.939899 | + | 0.341453i | \(0.110919\pi\) | |||||||
\(972\) | −1.43532e13 | − | 5.94528e12i | −0.515763 | − | 0.213636i | ||||
\(973\) | 7.51141e13i | 2.68667i | ||||||||
\(974\) | −8.92228e12 | + | 2.15403e13i | −0.317658 | + | 0.766895i | ||||
\(975\) | 2.67867e9 | − | 1.10954e9i | 9.49288e−5 | − | 3.93208e-5i | ||||
\(976\) | 1.57689e13 | + | 3.80695e13i | 0.556259 | + | 1.34293i | ||||
\(977\) | 5.81612e11 | + | 5.81612e11i | 0.0204225 | + | 0.0204225i | 0.717244 | − | 0.696822i | \(-0.245403\pi\) |
−0.696822 | + | 0.717244i | \(0.745403\pi\) | |||||||
\(978\) | −5.80102e13 | − | 5.80102e13i | −2.02759 | − | 2.02759i | ||||
\(979\) | 8.32167e12 | + | 2.00903e13i | 0.289526 | + | 0.698979i | ||||
\(980\) | 3.87999e13 | − | 1.60714e13i | 1.34373 | − | 0.556593i | ||||
\(981\) | −5.29166e12 | + | 1.27752e13i | −0.182424 | + | 0.440410i | ||||
\(982\) | − | 7.00340e13i | − | 2.40330i | ||||||
\(983\) | −2.19728e12 | − | 9.10143e11i | −0.0750576 | − | 0.0310899i | 0.344839 | − | 0.938662i | \(-0.387934\pi\) |
−0.419896 | + | 0.907572i | \(0.637934\pi\) | |||||||
\(984\) | −2.54682e8 | + | 2.54682e8i | −8.66006e−6 | + | 8.66006e-6i | ||||
\(985\) | −9.06583e12 | −0.306863 | ||||||||
\(986\) | −2.61181e13 | − | 2.87578e13i | −0.880026 | − | 0.968968i | ||||
\(987\) | −7.98342e13 | −2.67770 | ||||||||
\(988\) | 1.77561e13 | − | 1.77561e13i | 0.592844 | − | 0.592844i | ||||
\(989\) | 1.77958e13 | + | 7.37126e12i | 0.591472 | + | 0.244996i | ||||
\(990\) | 1.28847e13i | 0.426301i | ||||||||
\(991\) | 1.65093e11 | − | 3.98569e11i | 0.00543746 | − | 0.0131272i | −0.921137 | − | 0.389237i | \(-0.872739\pi\) |
0.926575 | + | 0.376110i | \(0.122739\pi\) | |||||||
\(992\) | −2.63716e13 | + | 1.09235e13i | −0.864636 | + | 0.358144i | ||||
\(993\) | 1.03651e13 | + | 2.50235e13i | 0.338299 | + | 0.816726i | ||||
\(994\) | 6.13324e13 | + | 6.13324e13i | 1.99274 | + | 1.99274i | ||||
\(995\) | 4.61163e11 | + | 4.61163e11i | 0.0149160 | + | 0.0149160i | ||||
\(996\) | −1.15116e13 | − | 2.77916e13i | −0.370655 | − | 0.894841i | ||||
\(997\) | 3.33508e13 | − | 1.38144e13i | 1.06900 | − | 0.442795i | 0.222363 | − | 0.974964i | \(-0.428623\pi\) |
0.846638 | + | 0.532169i | \(0.178623\pi\) | |||||||
\(998\) | 2.57505e13 | − | 6.21672e13i | 0.821671 | − | 1.98369i | ||||
\(999\) | 1.38700e13i | 0.440586i |
(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 | 17.10.d.a.9.3 | yes | 52 | |
17.2 | even | 8 | inner | 17.10.d.a.2.3 | ✓ | 52 | |
17.6 | odd | 16 | 289.10.a.i.1.10 | 52 | |||
17.11 | odd | 16 | 289.10.a.i.1.9 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.3 | ✓ | 52 | 17.2 | even | 8 | inner | |
17.10.d.a.9.3 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.9 | 52 | 17.11 | odd | 16 | |||
289.10.a.i.1.10 | 52 | 17.6 | odd | 16 |