Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,8,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.99632081549\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 21.23 | ||
Character | \(\chi\) | \(=\) | 32.21 |
Dual form | 32.8.g.a.29.23 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.26745 | − | 6.48956i | 0.819134 | − | 0.573602i | ||||
\(3\) | −13.5755 | + | 5.62318i | −0.290291 | + | 0.120242i | −0.523077 | − | 0.852286i | \(-0.675216\pi\) |
0.232786 | + | 0.972528i | \(0.425216\pi\) | |||||||
\(4\) | 43.7711 | − | 120.283i | 0.341962 | − | 0.939714i | ||||
\(5\) | −202.831 | + | 489.678i | −0.725672 | + | 1.75193i | −0.0691655 | + | 0.997605i | \(0.522034\pi\) |
−0.656506 | + | 0.754321i | \(0.727966\pi\) | |||||||
\(6\) | −89.3187 | + | 140.212i | −0.168816 | + | 0.265006i | ||||
\(7\) | −1160.57 | − | 1160.57i | −1.27888 | − | 1.27888i | −0.941297 | − | 0.337578i | \(-0.890392\pi\) |
−0.337578 | − | 0.941297i | \(-0.609608\pi\) | |||||||
\(8\) | −374.940 | − | 1398.78i | −0.258909 | − | 0.965902i | ||||
\(9\) | −1393.77 | + | 1393.77i | −0.637296 | + | 0.637296i | ||||
\(10\) | 1298.07 | + | 5854.35i | 0.410486 | + | 1.85131i | ||||
\(11\) | −1984.96 | − | 822.196i | −0.449652 | − | 0.186252i | 0.146353 | − | 0.989232i | \(-0.453246\pi\) |
−0.596006 | + | 0.802980i | \(0.703246\pi\) | |||||||
\(12\) | 82.1576 | + | 1879.05i | 0.0137250 | + | 0.313908i | ||||
\(13\) | 3512.84 | + | 8480.76i | 0.443463 | + | 1.07061i | 0.974725 | + | 0.223407i | \(0.0717178\pi\) |
−0.531263 | + | 0.847207i | \(0.678282\pi\) | |||||||
\(14\) | −18287.1 | − | 3223.93i | −1.78114 | − | 0.314006i | ||||
\(15\) | − | 7788.21i | − | 0.595824i | ||||||
\(16\) | −12552.2 | − | 10529.9i | −0.766124 | − | 0.642693i | ||||
\(17\) | − | 6874.72i | − | 0.339378i | −0.985498 | − | 0.169689i | \(-0.945724\pi\) | ||
0.985498 | − | 0.169689i | \(-0.0542763\pi\) | |||||||
\(18\) | −3871.72 | + | 21961.6i | −0.156477 | + | 0.887586i | ||||
\(19\) | 5404.16 | + | 13046.8i | 0.180755 | + | 0.436382i | 0.988123 | − | 0.153667i | \(-0.0491084\pi\) |
−0.807367 | + | 0.590049i | \(0.799108\pi\) | |||||||
\(20\) | 50022.0 | + | 45831.0i | 1.39816 | + | 1.28102i | ||||
\(21\) | 22281.5 | + | 9229.29i | 0.525021 | + | 0.217471i | ||||
\(22\) | −23731.2 | + | 5261.85i | −0.475160 | + | 0.105356i | ||||
\(23\) | −7914.10 | + | 7914.10i | −0.135630 | + | 0.135630i | −0.771662 | − | 0.636033i | \(-0.780574\pi\) |
0.636033 | + | 0.771662i | \(0.280574\pi\) | |||||||
\(24\) | 12955.6 | + | 16880.8i | 0.191301 | + | 0.249260i | ||||
\(25\) | −143401. | − | 143401.i | −1.83554 | − | 1.83554i | ||||
\(26\) | 87591.5 | + | 55798.1i | 0.977362 | + | 0.622605i | ||||
\(27\) | 23381.6 | − | 56448.3i | 0.228613 | − | 0.551922i | ||||
\(28\) | −190397. | + | 88797.9i | −1.63910 | + | 0.764450i | ||||
\(29\) | 51050.7 | − | 21145.9i | 0.388695 | − | 0.161003i | −0.179773 | − | 0.983708i | \(-0.557536\pi\) |
0.568468 | + | 0.822705i | \(0.307536\pi\) | |||||||
\(30\) | −50542.1 | − | 72176.8i | −0.341766 | − | 0.488060i | ||||
\(31\) | 1216.54 | 0.00733436 | 0.00366718 | − | 0.999993i | \(-0.498833\pi\) | ||||
0.00366718 | + | 0.999993i | \(0.498833\pi\) | |||||||
\(32\) | −184661. | − | 16126.9i | −0.996208 | − | 0.0870014i | ||||
\(33\) | 31570.2 | 0.152925 | ||||||||
\(34\) | −44613.9 | − | 63711.1i | −0.194668 | − | 0.277996i | ||||
\(35\) | 803706. | − | 332906.i | 3.16854 | − | 1.31245i | ||||
\(36\) | 106640. | + | 228654.i | 0.380945 | + | 0.816807i | ||||
\(37\) | −49570.5 | + | 119674.i | −0.160886 | + | 0.388412i | −0.983680 | − | 0.179927i | \(-0.942414\pi\) |
0.822794 | + | 0.568339i | \(0.192414\pi\) | |||||||
\(38\) | 134751. | + | 85839.9i | 0.398372 | + | 0.253774i | ||||
\(39\) | −95377.6 | − | 95377.6i | −0.257466 | − | 0.257466i | ||||
\(40\) | 760999. | + | 100116.i | 1.88007 | + | 0.247338i | ||||
\(41\) | 252687. | − | 252687.i | 0.572585 | − | 0.572585i | −0.360265 | − | 0.932850i | \(-0.617314\pi\) |
0.932850 | + | 0.360265i | \(0.117314\pi\) | |||||||
\(42\) | 266386. | − | 59065.1i | 0.554804 | − | 0.123015i | ||||
\(43\) | −752975. | − | 311892.i | −1.44424 | − | 0.598226i | −0.483421 | − | 0.875388i | \(-0.660606\pi\) |
−0.960823 | + | 0.277162i | \(0.910606\pi\) | |||||||
\(44\) | −185780. | + | 202769.i | −0.328788 | + | 0.358853i | ||||
\(45\) | −399798. | − | 965197.i | −0.654028 | − | 1.57896i | ||||
\(46\) | −21984.4 | + | 124703.i | −0.0333015 | + | 0.188896i | ||||
\(47\) | 95612.2i | 0.134329i | 0.997742 | + | 0.0671646i | \(0.0213953\pi\) | ||||
−0.997742 | + | 0.0671646i | \(0.978605\pi\) | |||||||
\(48\) | 229614. | + | 72365.8i | 0.299678 | + | 0.0944471i | ||||
\(49\) | 1.87030e6i | 2.27105i | ||||||||
\(50\) | −2.25958e6 | − | 398352.i | −2.55642 | − | 0.450684i | ||||
\(51\) | 38657.7 | + | 93328.1i | 0.0408076 | + | 0.0985182i | ||||
\(52\) | 1.17385e6 | − | 51324.5i | 1.15772 | − | 0.0506189i | ||||
\(53\) | 414402. | + | 171651.i | 0.382346 | + | 0.158373i | 0.565574 | − | 0.824698i | \(-0.308655\pi\) |
−0.183228 | + | 0.983070i | \(0.558655\pi\) | |||||||
\(54\) | −149637. | − | 674868.i | −0.129318 | − | 0.583231i | ||||
\(55\) | 805223. | − | 805223.i | 0.652600 | − | 0.652600i | ||||
\(56\) | −1.18823e6 | + | 2.05852e6i | −0.904156 | + | 1.56638i | ||||
\(57\) | −146729. | − | 146729.i | −0.104943 | − | 0.104943i | ||||
\(58\) | 335882. | − | 527265.i | 0.226042 | − | 0.354839i | ||||
\(59\) | −726399. | + | 1.75368e6i | −0.460461 | + | 1.11165i | 0.507747 | + | 0.861506i | \(0.330478\pi\) |
−0.968208 | + | 0.250145i | \(0.919522\pi\) | |||||||
\(60\) | −936792. | − | 340899.i | −0.559904 | − | 0.203749i | ||||
\(61\) | −2.37025e6 | + | 981790.i | −1.33703 | + | 0.553814i | −0.932651 | − | 0.360779i | \(-0.882511\pi\) |
−0.404375 | + | 0.914593i | \(0.632511\pi\) | |||||||
\(62\) | 11274.3 | − | 7894.85i | 0.00600783 | − | 0.00420700i | ||||
\(63\) | 3.23513e6 | 1.63005 | ||||||||
\(64\) | −1.81599e6 | + | 1.04891e6i | −0.865932 | + | 0.500161i | ||||
\(65\) | −4.86536e6 | −2.19744 | ||||||||
\(66\) | 292576. | − | 204877.i | 0.125266 | − | 0.0877182i | ||||
\(67\) | 1.34736e6 | − | 558096.i | 0.547296 | − | 0.226698i | −0.0918634 | − | 0.995772i | \(-0.529282\pi\) |
0.639160 | + | 0.769074i | \(0.279282\pi\) | |||||||
\(68\) | −826914. | − | 300914.i | −0.318918 | − | 0.116054i | ||||
\(69\) | 62935.9 | − | 151941.i | 0.0230636 | − | 0.0556804i | ||||
\(70\) | 5.28789e6 | − | 8.30089e6i | 1.84263 | − | 2.89255i | ||||
\(71\) | 124974. | + | 124974.i | 0.0414395 | + | 0.0414395i | 0.727523 | − | 0.686083i | \(-0.240672\pi\) |
−0.686083 | + | 0.727523i | \(0.740672\pi\) | |||||||
\(72\) | 2.47215e6 | + | 1.42699e6i | 0.780567 | + | 0.450564i | ||||
\(73\) | −2.10570e6 | + | 2.10570e6i | −0.633529 | + | 0.633529i | −0.948951 | − | 0.315422i | \(-0.897854\pi\) |
0.315422 | + | 0.948951i | \(0.397854\pi\) | |||||||
\(74\) | 317238. | + | 1.43076e6i | 0.0910070 | + | 0.410446i | ||||
\(75\) | 2.75313e6 | + | 1.14038e6i | 0.753549 | + | 0.312130i | ||||
\(76\) | 1.80586e6 | − | 78957.7i | 0.471885 | − | 0.0206323i | ||||
\(77\) | 1.34947e6 | + | 3.25790e6i | 0.336856 | + | 0.813243i | ||||
\(78\) | −1.50287e6 | − | 264948.i | −0.358582 | − | 0.0632163i | ||||
\(79\) | 6.34026e6i | 1.44681i | 0.690423 | + | 0.723406i | \(0.257425\pi\) | ||||
−0.690423 | + | 0.723406i | \(0.742575\pi\) | |||||||
\(80\) | 7.70223e6 | − | 4.01074e6i | 1.68190 | − | 0.875809i | ||||
\(81\) | − | 3.41297e6i | − | 0.713566i | ||||||
\(82\) | 701936. | − | 3.98160e6i | 0.140588 | − | 0.797460i | ||||
\(83\) | −1.62242e6 | − | 3.91687e6i | −0.311451 | − | 0.751909i | −0.999652 | − | 0.0263889i | \(-0.991599\pi\) |
0.688201 | − | 0.725520i | \(-0.258401\pi\) | |||||||
\(84\) | 2.08542e6 | − | 2.27611e6i | 0.383897 | − | 0.419002i | ||||
\(85\) | 3.36640e6 | + | 1.39441e6i | 0.594565 | + | 0.246277i | ||||
\(86\) | −9.00220e6 | + | 1.99603e6i | −1.52617 | + | 0.338394i | ||||
\(87\) | −574134. | + | 574134.i | −0.0934752 | + | 0.0934752i | ||||
\(88\) | −405828. | + | 3.08478e6i | −0.0634823 | + | 0.482542i | ||||
\(89\) | 706032. | + | 706032.i | 0.106160 | + | 0.106160i | 0.758192 | − | 0.652032i | \(-0.226083\pi\) |
−0.652032 | + | 0.758192i | \(0.726083\pi\) | |||||||
\(90\) | −9.96881e6 | − | 6.35040e6i | −1.44143 | − | 0.918232i | ||||
\(91\) | 5.76561e6 | − | 1.39194e7i | 0.802048 | − | 1.93632i | ||||
\(92\) | 605526. | + | 1.29834e6i | 0.0810728 | + | 0.173833i | ||||
\(93\) | −16515.3 | + | 6840.85i | −0.00212910 | + | 0.000881900i | ||||
\(94\) | 620481. | + | 886081.i | 0.0770515 | + | 0.110034i | ||||
\(95\) | −7.48487e6 | −0.895678 | ||||||||
\(96\) | 2.59756e6 | − | 819449.i | 0.299651 | − | 0.0945307i | ||||
\(97\) | −2.89743e6 | −0.322338 | −0.161169 | − | 0.986927i | \(-0.551526\pi\) | ||||
−0.161169 | + | 0.986927i | \(0.551526\pi\) | |||||||
\(98\) | 1.21375e7 | + | 1.73329e7i | 1.30268 | + | 1.86029i | ||||
\(99\) | 3.91252e6 | − | 1.62062e6i | 0.405260 | − | 0.167864i | ||||
\(100\) | −2.35257e7 | + | 1.09720e7i | −2.35257 | + | 1.09720i | ||||
\(101\) | 3.26396e6 | − | 7.87991e6i | 0.315225 | − | 0.761020i | −0.684270 | − | 0.729229i | \(-0.739879\pi\) |
0.999495 | − | 0.0317911i | \(-0.0101211\pi\) | |||||||
\(102\) | 963917. | + | 614041.i | 0.0899371 | + | 0.0572924i | ||||
\(103\) | 9.27797e6 | + | 9.27797e6i | 0.836610 | + | 0.836610i | 0.988411 | − | 0.151801i | \(-0.0485074\pi\) |
−0.151801 | + | 0.988411i | \(0.548507\pi\) | |||||||
\(104\) | 1.05456e7 | − | 8.09345e6i | 0.919291 | − | 0.705533i | ||||
\(105\) | −9.03876e6 | + | 9.03876e6i | −0.761985 | + | 0.761985i | ||||
\(106\) | 4.95439e6 | − | 1.09852e6i | 0.404036 | − | 0.0895857i | ||||
\(107\) | −1.00310e7 | − | 4.15496e6i | −0.791588 | − | 0.327887i | −0.0500062 | − | 0.998749i | \(-0.515924\pi\) |
−0.741582 | + | 0.670862i | \(0.765924\pi\) | |||||||
\(108\) | −5.76635e6 | − | 5.28323e6i | −0.440471 | − | 0.403567i | ||||
\(109\) | 6.24714e6 | + | 1.50819e7i | 0.462049 | + | 1.11549i | 0.967555 | + | 0.252662i | \(0.0813061\pi\) |
−0.505505 | + | 0.862823i | \(0.668694\pi\) | |||||||
\(110\) | 2.23682e6 | − | 1.26879e7i | 0.160234 | − | 0.908899i | ||||
\(111\) | − | 1.90338e6i | − | 0.132098i | ||||||
\(112\) | 2.34702e6 | + | 2.67884e7i | 0.157853 | + | 1.80170i | ||||
\(113\) | − | 1.87551e7i | − | 1.22277i | −0.791333 | − | 0.611385i | \(-0.790613\pi\) | ||
0.791333 | − | 0.611385i | \(-0.209387\pi\) | |||||||
\(114\) | −2.31201e6 | − | 407596.i | −0.146158 | − | 0.0257669i | ||||
\(115\) | −2.27014e6 | − | 5.48059e6i | −0.139190 | − | 0.336035i | ||||
\(116\) | −308953. | − | 7.06613e6i | −0.0183776 | − | 0.420319i | ||||
\(117\) | −1.67163e7 | − | 6.92411e6i | −0.964915 | − | 0.399681i | ||||
\(118\) | 4.64877e6 | + | 2.09662e7i | 0.260466 | + | 1.17471i | ||||
\(119\) | −7.97859e6 | + | 7.97859e6i | −0.434022 | + | 0.434022i | ||||
\(120\) | −1.08940e7 | + | 2.92011e6i | −0.575508 | + | 0.154264i | ||||
\(121\) | −1.05155e7 | − | 1.05155e7i | −0.539609 | − | 0.539609i | ||||
\(122\) | −1.55948e7 | + | 2.44806e7i | −0.777535 | + | 1.22057i | ||||
\(123\) | −2.00946e6 | + | 4.85127e6i | −0.0973671 | + | 0.235065i | ||||
\(124\) | 53249.5 | − | 146330.i | 0.00250807 | − | 0.00689220i | ||||
\(125\) | 6.10508e7 | − | 2.52881e7i | 2.79580 | − | 1.15806i | ||||
\(126\) | 2.99814e7 | − | 2.09946e7i | 1.33523 | − | 0.934997i | ||||
\(127\) | 3.77742e6 | 0.163637 | 0.0818186 | − | 0.996647i | \(-0.473927\pi\) | ||||
0.0818186 | + | 0.996647i | \(0.473927\pi\) | |||||||
\(128\) | −1.00226e7 | + | 2.15057e7i | −0.422422 | + | 0.906399i | ||||
\(129\) | 1.19759e7 | 0.491183 | ||||||||
\(130\) | −4.50894e7 | + | 3.15740e7i | −1.80000 | + | 1.26046i | ||||
\(131\) | −2.00691e7 | + | 8.31288e6i | −0.779969 | + | 0.323074i | −0.736903 | − | 0.675998i | \(-0.763713\pi\) |
−0.0430661 | + | 0.999072i | \(0.513713\pi\) | |||||||
\(132\) | 1.38187e6 | − | 3.79738e6i | 0.0522946 | − | 0.143706i | ||||
\(133\) | 8.86983e6 | − | 2.14137e7i | 0.326915 | − | 0.789242i | ||||
\(134\) | 8.86481e6 | − | 1.39159e7i | 0.318275 | − | 0.499626i | ||||
\(135\) | 2.28990e7 | + | 2.28990e7i | 0.801028 | + | 0.801028i | ||||
\(136\) | −9.61618e6 | + | 2.57761e6i | −0.327806 | + | 0.0878679i | ||||
\(137\) | −1.94735e7 | + | 1.94735e7i | −0.647028 | + | 0.647028i | −0.952274 | − | 0.305246i | \(-0.901261\pi\) |
0.305246 | + | 0.952274i | \(0.401261\pi\) | |||||||
\(138\) | −402774. | − | 1.81653e6i | −0.0130462 | − | 0.0588390i | ||||
\(139\) | −3.79751e7 | − | 1.57298e7i | −1.19935 | − | 0.496788i | −0.308563 | − | 0.951204i | \(-0.599848\pi\) |
−0.890790 | + | 0.454416i | \(0.849848\pi\) | |||||||
\(140\) | −4.86393e6 | − | 1.11244e8i | −0.149809 | − | 3.42633i | ||||
\(141\) | −537644. | − | 1.29799e6i | −0.0161521 | − | 0.0389945i | ||||
\(142\) | 1.96921e6 | + | 347162.i | 0.0577142 | + | 0.0101747i | ||||
\(143\) | − | 1.97222e7i | − | 0.564000i | ||||||
\(144\) | 3.21710e7 | − | 2.81862e6i | 0.897834 | − | 0.0786624i | ||||
\(145\) | 2.92875e7i | 0.797800i | ||||||||
\(146\) | −5.84939e6 | + | 3.31796e7i | −0.155552 | + | 0.882339i | ||||
\(147\) | −1.05171e7 | − | 2.53904e7i | −0.273076 | − | 0.659264i | ||||
\(148\) | 1.22250e7 | + | 1.12008e7i | 0.309979 | + | 0.284009i | ||||
\(149\) | 3.34350e7 | + | 1.38492e7i | 0.828037 | + | 0.342984i | 0.756125 | − | 0.654427i | \(-0.227090\pi\) |
0.0719116 | + | 0.997411i | \(0.477090\pi\) | |||||||
\(150\) | 3.29150e7 | − | 7.29816e6i | 0.796296 | − | 0.176561i | ||||
\(151\) | −2.61925e7 | + | 2.61925e7i | −0.619094 | + | 0.619094i | −0.945299 | − | 0.326205i | \(-0.894230\pi\) |
0.326205 | + | 0.945299i | \(0.394230\pi\) | |||||||
\(152\) | 1.62233e7 | − | 1.24510e7i | 0.374703 | − | 0.287575i | ||||
\(153\) | 9.58175e6 | + | 9.58175e6i | 0.216284 | + | 0.216284i | ||||
\(154\) | 3.36485e7 | + | 2.14350e7i | 0.742408 | + | 0.472934i | ||||
\(155\) | −246753. | + | 595715.i | −0.00532234 | + | 0.0128493i | ||||
\(156\) | −1.56471e7 | + | 7.29755e6i | −0.329988 | + | 0.153901i | ||||
\(157\) | 1.90669e7 | − | 7.89777e6i | 0.393216 | − | 0.162876i | −0.177310 | − | 0.984155i | \(-0.556739\pi\) |
0.570526 | + | 0.821280i | \(0.306739\pi\) | |||||||
\(158\) | 4.11455e7 | + | 5.87580e7i | 0.829894 | + | 1.18513i | ||||
\(159\) | −6.59096e6 | −0.130035 | ||||||||
\(160\) | 4.53520e7 | − | 8.71534e7i | 0.875340 | − | 1.68215i | ||||
\(161\) | 1.83697e7 | 0.346907 | ||||||||
\(162\) | −2.21487e7 | − | 3.16295e7i | −0.409303 | − | 0.584507i | ||||
\(163\) | 7.31044e7 | − | 3.02808e7i | 1.32217 | − | 0.547660i | 0.393758 | − | 0.919214i | \(-0.371175\pi\) |
0.928411 | + | 0.371554i | \(0.121175\pi\) | |||||||
\(164\) | −1.93337e7 | − | 4.14545e7i | −0.342264 | − | 0.733868i | ||||
\(165\) | −6.40344e6 | + | 1.54593e7i | −0.110973 | + | 0.267914i | ||||
\(166\) | −4.04544e7 | − | 2.57706e7i | −0.686417 | − | 0.437266i | ||||
\(167\) | −6.79952e7 | − | 6.79952e7i | −1.12972 | − | 1.12972i | −0.990222 | − | 0.139498i | \(-0.955451\pi\) |
−0.139498 | − | 0.990222i | \(-0.544549\pi\) | |||||||
\(168\) | 4.55548e6 | − | 3.46272e7i | 0.0741228 | − | 0.563423i | ||||
\(169\) | −1.52132e7 | + | 1.52132e7i | −0.242448 | + | 0.242448i | ||||
\(170\) | 4.02470e7 | − | 8.92386e6i | 0.628293 | − | 0.139310i | ||||
\(171\) | −2.57164e7 | − | 1.06521e7i | −0.393299 | − | 0.162910i | ||||
\(172\) | −7.04740e7 | + | 7.69185e7i | −1.05604 | + | 1.15261i | ||||
\(173\) | 2.94812e6 | + | 7.11740e6i | 0.0432897 | + | 0.104511i | 0.944045 | − | 0.329816i | \(-0.106987\pi\) |
−0.900756 | + | 0.434326i | \(0.856987\pi\) | |||||||
\(174\) | −1.59488e6 | + | 9.04664e6i | −0.0229512 | + | 0.130186i | ||||
\(175\) | 3.32855e8i | 4.69485i | ||||||||
\(176\) | 1.62579e7 | + | 3.12217e7i | 0.224787 | + | 0.431680i | ||||
\(177\) | − | 2.78919e7i | − | 0.378069i | ||||||
\(178\) | 1.11250e7 | + | 1.96127e6i | 0.147852 | + | 0.0260656i | ||||
\(179\) | 1.57079e7 | + | 3.79222e7i | 0.204707 | + | 0.494206i | 0.992574 | − | 0.121638i | \(-0.0388148\pi\) |
−0.787867 | + | 0.615845i | \(0.788815\pi\) | |||||||
\(180\) | −1.33597e8 | + | 5.84125e6i | −1.70743 | + | 0.0746539i | ||||
\(181\) | 3.72229e7 | + | 1.54182e7i | 0.466589 | + | 0.193268i | 0.603576 | − | 0.797305i | \(-0.293742\pi\) |
−0.136987 | + | 0.990573i | \(0.543742\pi\) | |||||||
\(182\) | −3.68985e7 | − | 1.66414e8i | −0.453689 | − | 2.04616i | ||||
\(183\) | 2.66567e7 | − | 2.66567e7i | 0.321534 | − | 0.321534i | ||||
\(184\) | 1.40374e7 | + | 8.10274e6i | 0.166120 | + | 0.0958891i | ||||
\(185\) | −4.85472e7 | − | 4.85472e7i | −0.563719 | − | 0.563719i | ||||
\(186\) | −108660. | + | 170574.i | −0.00123816 | + | 0.00194365i | ||||
\(187\) | −5.65237e6 | + | 1.36460e7i | −0.0632098 | + | 0.152602i | ||||
\(188\) | 1.15006e7 | + | 4.18505e6i | 0.126231 | + | 0.0459355i | ||||
\(189\) | −9.26483e7 | + | 3.83762e7i | −0.998208 | + | 0.413471i | ||||
\(190\) | −6.93656e7 | + | 4.85736e7i | −0.733680 | + | 0.513762i | ||||
\(191\) | −4.83656e7 | −0.502250 | −0.251125 | − | 0.967955i | \(-0.580801\pi\) | ||||
−0.251125 | + | 0.967955i | \(0.580801\pi\) | |||||||
\(192\) | 1.87549e7 | − | 2.44512e7i | 0.191232 | − | 0.249314i | ||||
\(193\) | −1.54941e8 | −1.55137 | −0.775684 | − | 0.631122i | \(-0.782595\pi\) | ||||
−0.775684 | + | 0.631122i | \(0.782595\pi\) | |||||||
\(194\) | −2.68517e7 | + | 1.88030e7i | −0.264038 | + | 0.184894i | ||||
\(195\) | 6.60499e7 | − | 2.73588e7i | 0.637898 | − | 0.264226i | ||||
\(196\) | 2.24967e8 | + | 8.18653e7i | 2.13413 | + | 0.776612i | ||||
\(197\) | 4.33562e7 | − | 1.04671e8i | 0.404035 | − | 0.975428i | −0.582641 | − | 0.812730i | \(-0.697980\pi\) |
0.986676 | − | 0.162698i | \(-0.0520195\pi\) | |||||||
\(198\) | 2.57420e7 | − | 4.04095e7i | 0.235675 | − | 0.369961i | ||||
\(199\) | −8.78823e7 | − | 8.78823e7i | −0.790525 | − | 0.790525i | 0.191055 | − | 0.981579i | \(-0.438809\pi\) |
−0.981579 | + | 0.191055i | \(0.938809\pi\) | |||||||
\(200\) | −1.46819e8 | + | 2.54353e8i | −1.29771 | + | 2.24819i | ||||
\(201\) | −1.51529e7 | + | 1.51529e7i | −0.131616 | + | 0.131616i | ||||
\(202\) | −2.08885e7 | − | 9.42083e7i | −0.178311 | − | 0.804191i | ||||
\(203\) | −8.37893e7 | − | 3.47067e7i | −0.702995 | − | 0.291190i | ||||
\(204\) | 1.29179e7 | − | 564810.i | 0.106534 | − | 0.00465797i | ||||
\(205\) | 7.24826e7 | + | 1.74988e8i | 0.587618 | + | 1.41863i | ||||
\(206\) | 1.46193e8 | + | 2.57731e7i | 1.16518 | + | 0.205415i | ||||
\(207\) | − | 2.20608e7i | − | 0.172872i | ||||||
\(208\) | 4.52075e7 | − | 1.43442e8i | 0.348328 | − | 1.10523i | ||||
\(209\) | − | 3.03406e7i | − | 0.229886i | ||||||
\(210\) | −2.51086e7 | + | 1.42424e8i | −0.187092 | + | 1.06124i | ||||
\(211\) | −1.13439e7 | − | 2.73867e7i | −0.0831333 | − | 0.200702i | 0.876847 | − | 0.480770i | \(-0.159643\pi\) |
−0.959980 | + | 0.280069i | \(0.909643\pi\) | |||||||
\(212\) | 3.87856e7 | − | 4.23323e7i | 0.279573 | − | 0.305138i | ||||
\(213\) | −2.39933e6 | − | 993837.i | −0.0170123 | − | 0.00704671i | ||||
\(214\) | −1.19925e8 | + | 2.65907e7i | −0.836493 | + | 0.185473i | ||||
\(215\) | 3.05454e8 | − | 3.05454e8i | 2.09609 | − | 2.09609i | ||||
\(216\) | −8.77252e7 | − | 1.15409e7i | −0.592292 | − | 0.0779208i | ||||
\(217\) | −1.41189e6 | − | 1.41189e6i | −0.00937974 | − | 0.00937974i | ||||
\(218\) | 1.55770e8 | + | 9.92297e7i | 1.01832 | + | 0.648700i | ||||
\(219\) | 1.67453e7 | − | 4.04268e7i | 0.107731 | − | 0.260085i | ||||
\(220\) | −6.16094e7 | − | 1.32100e8i | −0.390093 | − | 0.836421i | ||||
\(221\) | 5.83028e7 | − | 2.41498e7i | 0.363343 | − | 0.150501i | ||||
\(222\) | −1.23521e7 | − | 1.76395e7i | −0.0757715 | − | 0.108206i | ||||
\(223\) | 2.75019e8 | 1.66072 | 0.830359 | − | 0.557229i | \(-0.188136\pi\) | ||||
0.830359 | + | 0.557229i | \(0.188136\pi\) | |||||||
\(224\) | 1.95596e8 | + | 2.33028e8i | 1.16276 | + | 1.38529i | ||||
\(225\) | 3.99736e8 | 2.33956 | ||||||||
\(226\) | −1.21712e8 | − | 1.73812e8i | −0.701384 | − | 1.00161i | ||||
\(227\) | 1.00082e8 | − | 4.14555e7i | 0.567893 | − | 0.235229i | −0.0802145 | − | 0.996778i | \(-0.525561\pi\) |
0.648108 | + | 0.761548i | \(0.275561\pi\) | |||||||
\(228\) | −2.40716e7 | + | 1.12266e7i | −0.134503 | + | 0.0627300i | ||||
\(229\) | −1.85683e7 | + | 4.48278e7i | −0.102176 | + | 0.246674i | −0.966698 | − | 0.255921i | \(-0.917621\pi\) |
0.864522 | + | 0.502595i | \(0.167621\pi\) | |||||||
\(230\) | −5.66050e7 | − | 3.60589e7i | −0.306766 | − | 0.195418i | ||||
\(231\) | −3.66395e7 | − | 3.66395e7i | −0.195572 | − | 0.195572i | ||||
\(232\) | −4.87193e7 | − | 6.34800e7i | −0.256149 | − | 0.333756i | ||||
\(233\) | −1.93922e8 | + | 1.93922e8i | −1.00434 | + | 1.00434i | −0.00435279 | + | 0.999991i | \(0.501386\pi\) |
−0.999991 | + | 0.00435279i | \(0.998614\pi\) | |||||||
\(234\) | −1.99852e8 | + | 4.43126e7i | −1.01965 | + | 0.226085i | ||||
\(235\) | −4.68192e7 | − | 1.93931e7i | −0.235335 | − | 0.0974789i | ||||
\(236\) | 1.79143e8 | + | 1.64134e8i | 0.887174 | + | 0.812844i | ||||
\(237\) | −3.56524e7 | − | 8.60725e7i | −0.173968 | − | 0.419996i | ||||
\(238\) | −2.21636e7 | + | 1.25719e8i | −0.106567 | + | 0.604478i | ||||
\(239\) | − | 2.82931e8i | − | 1.34057i | −0.742105 | − | 0.670283i | \(-0.766173\pi\) | ||
0.742105 | − | 0.670283i | \(-0.233827\pi\) | |||||||
\(240\) | −8.20089e7 | + | 9.77590e7i | −0.382932 | + | 0.456475i | ||||
\(241\) | − | 2.79022e8i | − | 1.28404i | −0.766687 | − | 0.642021i | \(-0.778096\pi\) | ||
0.766687 | − | 0.642021i | \(-0.221904\pi\) | |||||||
\(242\) | −1.65692e8 | − | 2.92107e7i | −0.751534 | − | 0.132492i | ||||
\(243\) | 7.03274e7 | + | 1.69785e8i | 0.314414 | + | 0.759063i | ||||
\(244\) | 1.43445e7 | + | 3.28076e8i | 0.0632150 | + | 1.44581i | ||||
\(245\) | −9.15847e8 | − | 3.79356e8i | −3.97871 | − | 1.64803i | ||||
\(246\) | 1.28601e7 | + | 5.79995e7i | 0.0550770 | + | 0.248400i | ||||
\(247\) | −9.16628e7 | + | 9.16628e7i | −0.387038 | + | 0.387038i | ||||
\(248\) | −456131. | − | 1.70167e6i | −0.00189893 | − | 0.00708427i | ||||
\(249\) | 4.40505e7 | + | 4.40505e7i | 0.180823 | + | 0.180823i | ||||
\(250\) | 4.01676e8 | − | 6.30549e8i | 1.62587 | − | 2.55228i | ||||
\(251\) | −1.39512e8 | + | 3.36811e8i | −0.556869 | + | 1.34440i | 0.355363 | + | 0.934728i | \(0.384357\pi\) |
−0.912233 | + | 0.409673i | \(0.865643\pi\) | |||||||
\(252\) | 1.41605e8 | − | 3.89132e8i | 0.557414 | − | 1.53178i | ||||
\(253\) | 2.22161e7 | − | 9.20221e6i | 0.0862474 | − | 0.0357248i | ||||
\(254\) | 3.50070e7 | − | 2.45138e7i | 0.134041 | − | 0.0938626i | ||||
\(255\) | −5.35417e7 | −0.202210 | ||||||||
\(256\) | 4.66788e7 | + | 2.64346e8i | 0.173892 | + | 0.984765i | ||||
\(257\) | 1.80366e8 | 0.662811 | 0.331406 | − | 0.943488i | \(-0.392477\pi\) | ||||
0.331406 | + | 0.943488i | \(0.392477\pi\) | |||||||
\(258\) | 1.10986e8 | − | 7.77182e7i | 0.402345 | − | 0.281743i | ||||
\(259\) | 1.96420e8 | − | 8.13598e7i | 0.702484 | − | 0.290978i | ||||
\(260\) | −2.12962e8 | + | 5.85221e8i | −0.751442 | + | 2.06497i | ||||
\(261\) | −4.16804e7 | + | 1.00625e8i | −0.145107 | + | 0.350320i | ||||
\(262\) | −1.32042e8 | + | 2.07279e8i | −0.453584 | + | 0.712033i | ||||
\(263\) | 2.55751e8 | + | 2.55751e8i | 0.866905 | + | 0.866905i | 0.992129 | − | 0.125224i | \(-0.0399648\pi\) |
−0.125224 | + | 0.992129i | \(0.539965\pi\) | |||||||
\(264\) | −1.18369e7 | − | 4.41597e7i | −0.0395937 | − | 0.147711i | ||||
\(265\) | −1.68107e8 | + | 1.68107e8i | −0.554915 | + | 0.554915i | ||||
\(266\) | −5.67646e7 | − | 2.56011e8i | −0.184924 | − | 0.834014i | ||||
\(267\) | −1.35549e7 | − | 5.61463e6i | −0.0435820 | − | 0.0180523i | ||||
\(268\) | −8.15407e6 | − | 1.86494e8i | −0.0258763 | − | 0.591824i | ||||
\(269\) | 4.02726e7 | + | 9.72267e7i | 0.126147 | + | 0.304546i | 0.974318 | − | 0.225177i | \(-0.0722960\pi\) |
−0.848171 | + | 0.529723i | \(0.822296\pi\) | |||||||
\(270\) | 3.60819e8 | + | 6.36106e7i | 1.11562 | + | 0.196678i | ||||
\(271\) | 4.10014e7i | 0.125143i | 0.998040 | + | 0.0625714i | \(0.0199301\pi\) | ||||
−0.998040 | + | 0.0625714i | \(0.980070\pi\) | |||||||
\(272\) | −7.23899e7 | + | 8.62927e7i | −0.218116 | + | 0.260006i | ||||
\(273\) | 2.21385e8i | 0.658535i | ||||||||
\(274\) | −5.40952e7 | + | 3.06845e8i | −0.158866 | + | 0.901139i | ||||
\(275\) | 1.66742e8 | + | 4.02550e8i | 0.483481 | + | 1.16723i | ||||
\(276\) | −1.55212e7 | − | 1.42208e7i | −0.0444368 | − | 0.0407137i | ||||
\(277\) | 4.14160e7 | + | 1.71551e7i | 0.117082 | + | 0.0484969i | 0.440455 | − | 0.897775i | \(-0.354817\pi\) |
−0.323374 | + | 0.946271i | \(0.604817\pi\) | |||||||
\(278\) | −4.54012e8 | + | 1.00667e8i | −1.26739 | + | 0.281015i | ||||
\(279\) | −1.69558e6 | + | 1.69558e6i | −0.00467416 | + | 0.00467416i | ||||
\(280\) | −7.67002e8 | − | 9.99384e8i | −2.08806 | − | 2.72069i | ||||
\(281\) | 6.83675e7 | + | 6.83675e7i | 0.183814 | + | 0.183814i | 0.793015 | − | 0.609202i | \(-0.208510\pi\) |
−0.609202 | + | 0.793015i | \(0.708510\pi\) | |||||||
\(282\) | −1.34060e7 | − | 8.53996e6i | −0.0355980 | − | 0.0226769i | ||||
\(283\) | 2.04493e8 | − | 4.93691e8i | 0.536324 | − | 1.29480i | −0.390949 | − | 0.920412i | \(-0.627853\pi\) |
0.927272 | − | 0.374387i | \(-0.122147\pi\) | |||||||
\(284\) | 2.05025e7 | − | 9.56201e6i | 0.0531119 | − | 0.0247705i | ||||
\(285\) | 1.01611e8 | − | 4.20888e7i | 0.260007 | − | 0.107698i | ||||
\(286\) | −1.27988e8 | − | 1.82774e8i | −0.323511 | − | 0.461992i | ||||
\(287\) | −5.86523e8 | −1.46453 | ||||||||
\(288\) | 2.79851e8 | − | 2.34897e8i | 0.690326 | − | 0.579434i | ||||
\(289\) | 3.63077e8 | 0.884823 | ||||||||
\(290\) | 1.90063e8 | + | 2.71420e8i | 0.457619 | + | 0.653505i | ||||
\(291\) | 3.93342e7 | − | 1.62927e7i | 0.0935717 | − | 0.0387586i | ||||
\(292\) | 1.61112e8 | + | 3.45450e8i | 0.378693 | + | 0.811979i | ||||
\(293\) | −2.17185e8 | + | 5.24332e8i | −0.504422 | + | 1.21778i | 0.442631 | + | 0.896704i | \(0.354045\pi\) |
−0.947053 | + | 0.321078i | \(0.895955\pi\) | |||||||
\(294\) | −2.62239e8 | − | 1.67053e8i | −0.601841 | − | 0.383389i | ||||
\(295\) | −7.11403e8 | − | 7.11403e8i | −1.61339 | − | 1.61339i | ||||
\(296\) | 1.85983e8 | + | 2.44675e7i | 0.416823 | + | 0.0548363i | ||||
\(297\) | −9.28231e7 | + | 9.28231e7i | −0.205593 | + | 0.205593i | ||||
\(298\) | 3.99733e8 | − | 8.86316e7i | 0.875010 | − | 0.194013i | ||||
\(299\) | −9.49186e7 | − | 3.93166e7i | −0.205353 | − | 0.0850602i | ||||
\(300\) | 2.57676e8 | − | 2.81239e8i | 0.550998 | − | 0.601384i | ||||
\(301\) | 5.11907e8 | + | 1.23585e9i | 1.08195 | + | 2.61207i | ||||
\(302\) | −7.27596e7 | + | 4.12715e8i | −0.152008 | + | 0.862235i | ||||
\(303\) | 1.25328e8i | 0.258820i | ||||||||
\(304\) | 6.95472e7 | − | 2.20671e8i | 0.141978 | − | 0.450493i | ||||
\(305\) | − | 1.35980e9i | − | 2.74426i | ||||||
\(306\) | 1.50980e8 | + | 2.66170e7i | 0.301227 | + | 0.0531048i | ||||
\(307\) | 9.23161e7 | + | 2.22871e8i | 0.182093 | + | 0.439611i | 0.988398 | − | 0.151889i | \(-0.0485357\pi\) |
−0.806305 | + | 0.591501i | \(0.798536\pi\) | |||||||
\(308\) | 4.50939e8 | − | 1.97164e7i | 0.879407 | − | 0.0384504i | ||||
\(309\) | −1.78125e8 | − | 7.37819e7i | −0.343456 | − | 0.142264i | ||||
\(310\) | 1.57916e6 | + | 7.12208e6i | 0.00301065 | + | 0.0135782i | ||||
\(311\) | 2.93017e7 | − | 2.93017e7i | 0.0552372 | − | 0.0552372i | −0.678949 | − | 0.734186i | \(-0.737564\pi\) |
0.734186 | + | 0.678949i | \(0.237564\pi\) | |||||||
\(312\) | −9.76509e7 | + | 1.69173e8i | −0.182027 | + | 0.315347i | ||||
\(313\) | 3.05448e8 | + | 3.05448e8i | 0.563031 | + | 0.563031i | 0.930167 | − | 0.367136i | \(-0.119662\pi\) |
−0.367136 | + | 0.930167i | \(0.619662\pi\) | |||||||
\(314\) | 1.25448e8 | − | 1.96928e8i | 0.228671 | − | 0.358967i | ||||
\(315\) | −6.56186e8 | + | 1.58417e9i | −1.18288 | + | 2.85572i | ||||
\(316\) | 7.62628e8 | + | 2.77520e8i | 1.35959 | + | 0.494755i | ||||
\(317\) | −1.34028e7 | + | 5.55160e6i | −0.0236312 | + | 0.00978838i | −0.394468 | − | 0.918910i | \(-0.629071\pi\) |
0.370837 | + | 0.928698i | \(0.379071\pi\) | |||||||
\(318\) | −6.10814e7 | + | 4.27725e7i | −0.106516 | + | 0.0745881i | ||||
\(319\) | −1.18720e8 | −0.204765 | ||||||||
\(320\) | −1.45290e8 | − | 1.10200e9i | −0.247863 | − | 1.88000i | ||||
\(321\) | 1.59540e8 | 0.269216 | ||||||||
\(322\) | 1.70241e8 | − | 1.19212e8i | 0.284163 | − | 0.198986i | ||||
\(323\) | 8.96931e7 | − | 3.71521e7i | 0.148098 | − | 0.0613444i | ||||
\(324\) | −4.10523e8 | − | 1.49389e8i | −0.670548 | − | 0.244013i | ||||
\(325\) | 7.12406e8 | − | 1.71990e9i | 1.15116 | − | 2.77915i | ||||
\(326\) | 4.80982e8 | − | 7.55042e8i | 0.768895 | − | 1.20701i | ||||
\(327\) | −1.69617e8 | − | 1.69617e8i | −0.268257 | − | 0.268257i | ||||
\(328\) | −4.48195e8 | − | 2.58710e8i | −0.701308 | − | 0.404813i | ||||
\(329\) | 1.10965e8 | − | 1.10965e8i | 0.171790 | − | 0.171790i | ||||
\(330\) | 4.09804e7 | + | 1.84823e8i | 0.0627736 | + | 0.283112i | ||||
\(331\) | −6.05626e8 | − | 2.50858e8i | −0.917923 | − | 0.380216i | −0.126839 | − | 0.991923i | \(-0.540483\pi\) |
−0.791084 | + | 0.611707i | \(0.790483\pi\) | |||||||
\(332\) | −5.42149e8 | + | 2.37044e7i | −0.813084 | + | 0.0355505i | ||||
\(333\) | −9.77076e7 | − | 2.35887e8i | −0.145002 | − | 0.350065i | ||||
\(334\) | −1.07140e9 | − | 1.88883e8i | −1.57340 | − | 0.277383i | ||||
\(335\) | 7.72973e8i | 1.12333i | ||||||||
\(336\) | −1.82498e8 | − | 3.50469e8i | −0.262464 | − | 0.504036i | ||||
\(337\) | 5.92841e8i | 0.843789i | 0.906645 | + | 0.421894i | \(0.138635\pi\) | ||||
−0.906645 | + | 0.421894i | \(0.861365\pi\) | |||||||
\(338\) | −4.22606e7 | + | 2.39715e8i | −0.0595288 | + | 0.337666i | ||||
\(339\) | 1.05463e8 | + | 2.54611e8i | 0.147029 | + | 0.354959i | ||||
\(340\) | 3.15075e8 | − | 3.43887e8i | 0.434748 | − | 0.474504i | ||||
\(341\) | −2.41479e6 | − | 1.00024e6i | −0.00329791 | − | 0.00136604i | ||||
\(342\) | −3.07452e8 | + | 6.81705e7i | −0.415610 | + | 0.0921521i | ||||
\(343\) | 1.21484e9 | − | 1.21484e9i | 1.62551 | − | 1.62551i | ||||
\(344\) | −1.53947e8 | + | 1.17018e9i | −0.203900 | + | 1.54988i | ||||
\(345\) | 6.16367e7 | + | 6.16367e7i | 0.0808113 | + | 0.0808113i | ||||
\(346\) | 7.35104e7 | + | 4.68281e7i | 0.0954075 | + | 0.0607771i | ||||
\(347\) | 2.11077e8 | − | 5.09585e8i | 0.271199 | − | 0.654732i | −0.728336 | − | 0.685220i | \(-0.759706\pi\) |
0.999535 | + | 0.0304878i | \(0.00970608\pi\) | |||||||
\(348\) | 4.39283e7 | + | 9.41893e7i | 0.0558750 | + | 0.119805i | ||||
\(349\) | −8.67771e8 | + | 3.59442e8i | −1.09274 | + | 0.452627i | −0.854961 | − | 0.518693i | \(-0.826419\pi\) |
−0.237777 | + | 0.971320i | \(0.576419\pi\) | |||||||
\(350\) | 2.16008e9 | + | 3.08472e9i | 2.69298 | + | 3.84571i | ||||
\(351\) | 5.60860e8 | 0.692277 | ||||||||
\(352\) | 3.53285e8 | + | 1.83839e8i | 0.431743 | + | 0.224666i | ||||
\(353\) | 1.26020e9 | 1.52485 | 0.762427 | − | 0.647074i | \(-0.224008\pi\) | ||||
0.762427 | + | 0.647074i | \(0.224008\pi\) | |||||||
\(354\) | −1.81006e8 | − | 2.58486e8i | −0.216861 | − | 0.309689i | ||||
\(355\) | −8.65454e7 | + | 3.58483e7i | −0.102670 | + | 0.0425274i | ||||
\(356\) | 1.15828e8 | − | 5.40201e7i | 0.136062 | − | 0.0634571i | ||||
\(357\) | 6.34488e7 | − | 1.53179e8i | 0.0738048 | − | 0.178180i | ||||
\(358\) | 3.91671e8 | + | 2.49505e8i | 0.451160 | + | 0.287401i | ||||
\(359\) | −6.34279e8 | − | 6.34279e8i | −0.723519 | − | 0.723519i | 0.245801 | − | 0.969320i | \(-0.420949\pi\) |
−0.969320 | + | 0.245801i | \(0.920949\pi\) | |||||||
\(360\) | −1.20019e9 | + | 9.21118e8i | −1.35579 | + | 1.04053i | ||||
\(361\) | 4.91049e8 | − | 4.91049e8i | 0.549350 | − | 0.549350i | ||||
\(362\) | 4.45019e8 | − | 9.86727e7i | 0.493058 | − | 0.109324i | ||||
\(363\) | 2.01883e8 | + | 8.36229e7i | 0.221527 | + | 0.0917597i | ||||
\(364\) | −1.42191e9 | − | 1.30278e9i | −1.54531 | − | 1.41584i | ||||
\(365\) | −6.04014e8 | − | 1.45822e9i | −0.650162 | − | 1.56963i | ||||
\(366\) | 7.40491e7 | − | 4.20030e8i | 0.0789471 | − | 0.447812i | ||||
\(367\) | 7.66961e8i | 0.809920i | 0.914334 | + | 0.404960i | \(0.132715\pi\) | ||||
−0.914334 | + | 0.404960i | \(0.867285\pi\) | |||||||
\(368\) | 1.82674e8 | − | 1.60047e7i | 0.191077 | − | 0.0167409i | ||||
\(369\) | 7.04374e8i | 0.729813i | ||||||||
\(370\) | −7.64958e8 | − | 1.34858e8i | −0.785112 | − | 0.138411i | ||||
\(371\) | −2.81730e8 | − | 6.80156e8i | −0.286434 | − | 0.691512i | ||||
\(372\) | 99948.4 | + | 2.28594e6i | 0.000100664 | + | 0.00230232i | ||||
\(373\) | −2.20332e8 | − | 9.12643e7i | −0.219834 | − | 0.0910584i | 0.270048 | − | 0.962847i | \(-0.412960\pi\) |
−0.489883 | + | 0.871788i | \(0.662960\pi\) | |||||||
\(374\) | 3.61737e7 | + | 1.63145e8i | 0.0357555 | + | 0.161259i | ||||
\(375\) | −6.86599e8 | + | 6.86599e8i | −0.672347 | + | 0.672347i | ||||
\(376\) | 1.33740e8 | − | 3.58488e7i | 0.129749 | − | 0.0347790i | ||||
\(377\) | 3.58666e8 | + | 3.58666e8i | 0.344743 | + | 0.344743i | ||||
\(378\) | −6.09568e8 | + | 9.56896e8i | −0.580498 | + | 0.911262i | ||||
\(379\) | −1.93009e8 | + | 4.65966e8i | −0.182113 | + | 0.439660i | −0.988402 | − | 0.151863i | \(-0.951473\pi\) |
0.806289 | + | 0.591522i | \(0.201473\pi\) | |||||||
\(380\) | −3.27621e8 | + | 9.00306e8i | −0.306288 | + | 0.841681i | ||||
\(381\) | −5.12805e7 | + | 2.12411e7i | −0.0475023 | + | 0.0196761i | ||||
\(382\) | −4.48226e8 | + | 3.13872e8i | −0.411410 | + | 0.288092i | ||||
\(383\) | −6.52658e8 | −0.593594 | −0.296797 | − | 0.954941i | \(-0.595919\pi\) | ||||
−0.296797 | + | 0.954941i | \(0.595919\pi\) | |||||||
\(384\) | 1.51319e7 | − | 3.48311e8i | 0.0136375 | − | 0.313912i | ||||
\(385\) | −1.86904e9 | −1.66919 | ||||||||
\(386\) | −1.43590e9 | + | 1.00550e9i | −1.27078 | + | 0.889867i | ||||
\(387\) | 1.48418e9 | − | 6.14766e8i | 1.30166 | − | 0.539165i | ||||
\(388\) | −1.26824e8 | + | 3.48512e8i | −0.110227 | + | 0.302905i | ||||
\(389\) | −2.51784e8 | + | 6.07861e8i | −0.216873 | + | 0.523577i | −0.994450 | − | 0.105210i | \(-0.966448\pi\) |
0.777577 | + | 0.628787i | \(0.216448\pi\) | |||||||
\(390\) | 4.34567e8 | − | 6.82181e8i | 0.370963 | − | 0.582336i | ||||
\(391\) | 5.44072e7 | + | 5.44072e7i | 0.0460297 | + | 0.0460297i | ||||
\(392\) | 2.61614e9 | − | 7.01252e8i | 2.19361 | − | 0.587994i | ||||
\(393\) | 2.25704e8 | − | 2.25704e8i | 0.187571 | − | 0.187571i | ||||
\(394\) | −2.77469e8 | − | 1.25140e9i | −0.228548 | − | 1.03076i | ||||
\(395\) | −3.10469e9 | − | 1.28600e9i | −2.53471 | − | 1.04991i | ||||
\(396\) | −2.36781e7 | − | 5.41547e8i | −0.0191608 | − | 0.438231i | ||||
\(397\) | 2.66916e8 | + | 6.44393e8i | 0.214096 | + | 0.516873i | 0.994045 | − | 0.108970i | \(-0.0347552\pi\) |
−0.779949 | + | 0.625843i | \(0.784755\pi\) | |||||||
\(398\) | −1.38476e9 | − | 2.44127e8i | −1.10099 | − | 0.194099i | ||||
\(399\) | 3.40579e8i | 0.268418i | ||||||||
\(400\) | 2.90001e8 | + | 3.31000e9i | 0.226563 | + | 2.58594i | ||||
\(401\) | − | 7.17723e8i | − | 0.555842i | −0.960604 | − | 0.277921i | \(-0.910355\pi\) | ||
0.960604 | − | 0.277921i | \(-0.0896453\pi\) | |||||||
\(402\) | −4.20930e7 | + | 2.38765e8i | −0.0323161 | + | 0.183307i | ||||
\(403\) | 4.27353e6 | + | 1.03172e7i | 0.00325252 | + | 0.00785227i | ||||
\(404\) | −8.04954e8 | − | 7.37513e8i | −0.607346 | − | 0.556461i | ||||
\(405\) | 1.67126e9 | + | 6.92256e8i | 1.25012 | + | 0.517815i | ||||
\(406\) | −1.00174e9 | + | 2.22114e8i | −0.742874 | + | 0.164715i | ||||
\(407\) | 1.96791e8 | − | 1.96791e8i | 0.144685 | − | 0.144685i | ||||
\(408\) | 1.16051e8 | − | 8.90659e7i | 0.0845935 | − | 0.0649234i | ||||
\(409\) | −1.06454e9 | − | 1.06454e9i | −0.769359 | − | 0.769359i | 0.208635 | − | 0.977994i | \(-0.433098\pi\) |
−0.977994 | + | 0.208635i | \(0.933098\pi\) | |||||||
\(410\) | 1.80733e9 | + | 1.15132e9i | 1.29507 | + | 0.824994i | ||||
\(411\) | 1.54861e8 | − | 3.73867e8i | 0.110026 | − | 0.265626i | ||||
\(412\) | 1.52209e9 | − | 7.09879e8i | 1.07226 | − | 0.500085i | ||||
\(413\) | 2.87831e9 | − | 1.19223e9i | 2.01054 | − | 0.832792i | ||||
\(414\) | −1.43165e8 | − | 2.04448e8i | −0.0991599 | − | 0.141606i | ||||
\(415\) | 2.24708e9 | 1.54330 | ||||||||
\(416\) | −5.11917e8 | − | 1.62272e9i | −0.348636 | − | 1.10514i | ||||
\(417\) | 6.03984e8 | 0.407896 | ||||||||
\(418\) | −1.96898e8 | − | 2.81180e8i | −0.131863 | − | 0.188308i | ||||
\(419\) | −2.44094e8 | + | 1.01107e8i | −0.162109 | + | 0.0671478i | −0.462262 | − | 0.886743i | \(-0.652962\pi\) |
0.300153 | + | 0.953891i | \(0.402962\pi\) | |||||||
\(420\) | 6.91576e8 | + | 1.48285e9i | 0.455478 | + | 0.976618i | ||||
\(421\) | −9.27134e8 | + | 2.23830e9i | −0.605557 | + | 1.46194i | 0.262229 | + | 0.965006i | \(0.415542\pi\) |
−0.867786 | + | 0.496938i | \(0.834458\pi\) | |||||||
\(422\) | −2.82857e8 | − | 1.80187e8i | −0.183220 | − | 0.116716i | ||||
\(423\) | −1.33261e8 | − | 1.33261e8i | −0.0856076 | − | 0.0856076i | ||||
\(424\) | 8.47252e7 | − | 6.44014e8i | 0.0539799 | − | 0.410313i | ||||
\(425\) | −9.85844e8 | + | 9.85844e8i | −0.622941 | + | 0.622941i | ||||
\(426\) | −2.86853e7 | + | 6.36030e6i | −0.0179773 | + | 0.00398606i | ||||
\(427\) | 3.89028e9 | + | 1.61141e9i | 2.41815 | + | 1.00163i | ||||
\(428\) | −9.38839e8 | + | 1.02469e9i | −0.578812 | + | 0.631742i | ||||
\(429\) | 1.10901e8 | + | 2.67740e8i | 0.0678166 | + | 0.163724i | ||||
\(430\) | 8.48515e8 | − | 4.81304e9i | 0.514659 | − | 2.91931i | ||||
\(431\) | − | 1.47608e9i | − | 0.888053i | −0.896014 | − | 0.444026i | \(-0.853550\pi\) | ||
0.896014 | − | 0.444026i | \(-0.146450\pi\) | |||||||
\(432\) | −8.87884e8 | + | 4.62343e8i | −0.529862 | + | 0.275912i | ||||
\(433\) | 9.38422e8i | 0.555508i | 0.960652 | + | 0.277754i | \(0.0895901\pi\) | ||||
−0.960652 | + | 0.277754i | \(0.910410\pi\) | |||||||
\(434\) | −2.22471e7 | − | 3.92205e6i | −0.0130635 | − | 0.00230303i | ||||
\(435\) | −1.64689e8 | − | 3.97594e8i | −0.0959293 | − | 0.231594i | ||||
\(436\) | 2.08755e9 | − | 9.12739e7i | 1.20624 | − | 0.0527405i | ||||
\(437\) | −1.46023e8 | − | 6.04847e7i | −0.0837020 | − | 0.0346705i | ||||
\(438\) | −1.07166e8 | − | 4.83323e8i | −0.0609392 | − | 0.274839i | ||||
\(439\) | −1.76455e9 | + | 1.76455e9i | −0.995427 | + | 0.995427i | −0.999990 | − | 0.00456274i | \(-0.998548\pi\) |
0.00456274 | + | 0.999990i | \(0.498548\pi\) | |||||||
\(440\) | −1.42824e9 | − | 8.24416e8i | −0.799311 | − | 0.461383i | ||||
\(441\) | −2.60677e9 | − | 2.60677e9i | −1.44733 | − | 1.44733i | ||||
\(442\) | 3.83596e8 | − | 6.02167e8i | 0.211299 | − | 0.331695i | ||||
\(443\) | 8.50744e8 | − | 2.05388e9i | 0.464928 | − | 1.12244i | −0.501422 | − | 0.865203i | \(-0.667189\pi\) |
0.966350 | − | 0.257232i | \(-0.0828106\pi\) | |||||||
\(444\) | −2.28945e8 | − | 8.33131e7i | −0.124134 | − | 0.0451724i | ||||
\(445\) | −4.88934e8 | + | 2.02523e8i | −0.263021 | + | 0.108947i | ||||
\(446\) | 2.54872e9 | − | 1.78475e9i | 1.36035 | − | 0.952590i | ||||
\(447\) | −5.31775e8 | −0.281613 | ||||||||
\(448\) | 3.32492e9 | + | 8.90249e8i | 1.74706 | + | 0.467776i | ||||
\(449\) | −2.06603e9 | −1.07715 | −0.538574 | − | 0.842578i | \(-0.681037\pi\) | ||||
−0.538574 | + | 0.842578i | \(0.681037\pi\) | |||||||
\(450\) | 3.70454e9 | − | 2.59412e9i | 1.91642 | − | 1.34198i | ||||
\(451\) | −7.09332e8 | + | 2.93815e8i | −0.364109 | + | 0.150819i | ||||
\(452\) | −2.25593e9 | − | 8.20932e8i | −1.14905 | − | 0.418141i | ||||
\(453\) | 2.08292e8 | − | 5.02862e8i | 0.105276 | − | 0.254159i | ||||
\(454\) | 6.58480e8 | − | 1.03368e9i | 0.330253 | − | 0.518429i | ||||
\(455\) | 5.64659e9 | + | 5.64659e9i | 2.81026 | + | 2.81026i | ||||
\(456\) | −1.50226e8 | + | 2.60255e8i | −0.0741941 | + | 0.128535i | ||||
\(457\) | −2.26006e9 | + | 2.26006e9i | −1.10768 | + | 1.10768i | −0.114221 | + | 0.993455i | \(0.536437\pi\) |
−0.993455 | + | 0.114221i | \(0.963563\pi\) | |||||||
\(458\) | 1.18832e8 | + | 5.35940e8i | 0.0577971 | + | 0.260667i | ||||
\(459\) | −3.88066e8 | − | 1.60742e8i | −0.187310 | − | 0.0775864i | ||||
\(460\) | −7.58590e8 | + | 3.31679e7i | −0.363375 | + | 0.0158879i | ||||
\(461\) | 6.97818e8 | + | 1.68468e9i | 0.331733 | + | 0.800874i | 0.998455 | + | 0.0555677i | \(0.0176969\pi\) |
−0.666722 | + | 0.745307i | \(0.732303\pi\) | |||||||
\(462\) | −5.77329e8 | − | 1.01780e8i | −0.272381 | − | 0.0480194i | ||||
\(463\) | − | 1.05439e9i | − | 0.493706i | −0.969053 | − | 0.246853i | \(-0.920604\pi\) | ||
0.969053 | − | 0.246853i | \(-0.0793964\pi\) | |||||||
\(464\) | −8.63461e8 | − | 2.72131e8i | −0.401264 | − | 0.126463i | ||||
\(465\) | − | 9.47470e6i | − | 0.00436999i | ||||||
\(466\) | −5.38694e8 | + | 3.05564e9i | −0.246599 | + | 1.39879i | ||||
\(467\) | −1.96755e8 | − | 4.75009e8i | −0.0893957 | − | 0.215820i | 0.872858 | − | 0.487974i | \(-0.162264\pi\) |
−0.962254 | + | 0.272154i | \(0.912264\pi\) | |||||||
\(468\) | −1.56455e9 | + | 1.70761e9i | −0.705550 | + | 0.770069i | ||||
\(469\) | −2.21142e9 | − | 9.15999e8i | −0.989842 | − | 0.410006i | ||||
\(470\) | −5.59747e8 | + | 1.24111e8i | −0.248685 | + | 0.0551402i | ||||
\(471\) | −2.14433e8 | + | 2.14433e8i | −0.0945625 | + | 0.0945625i | ||||
\(472\) | 2.72536e9 | + | 3.58543e8i | 1.19296 | + | 0.156944i | ||||
\(473\) | 1.23819e9 | + | 1.23819e9i | 0.537987 | + | 0.537987i | ||||
\(474\) | −8.88980e8 | − | 5.66304e8i | −0.383414 | − | 0.244245i | ||||
\(475\) | 1.09597e9 | − | 2.64590e9i | 0.469212 | − | 1.13278i | ||||
\(476\) | 6.10460e8 | + | 1.30892e9i | 0.259438 | + | 0.556276i | ||||
\(477\) | −8.16822e8 | + | 3.38339e8i | −0.344598 | + | 0.142737i | ||||
\(478\) | −1.83610e9 | − | 2.62205e9i | −0.768951 | − | 1.09810i | ||||
\(479\) | −3.79078e9 | −1.57599 | −0.787996 | − | 0.615680i | \(-0.788882\pi\) | ||||
−0.787996 | + | 0.615680i | \(0.788882\pi\) | |||||||
\(480\) | −1.25600e8 | + | 1.43818e9i | −0.0518375 | + | 0.593565i | ||||
\(481\) | −1.18906e9 | −0.487186 | ||||||||
\(482\) | −1.81073e9 | − | 2.58582e9i | −0.736528 | − | 1.05180i | ||||
\(483\) | −2.49379e8 | + | 1.03296e8i | −0.100704 | + | 0.0417129i | ||||
\(484\) | −1.72511e9 | + | 8.04562e8i | −0.691604 | + | 0.322553i | ||||
\(485\) | 5.87689e8 | − | 1.41881e9i | 0.233911 | − | 0.564712i | ||||
\(486\) | 1.75359e9 | + | 1.11708e9i | 0.692948 | + | 0.441426i | ||||
\(487\) | −1.93681e9 | − | 1.93681e9i | −0.759863 | − | 0.759863i | 0.216435 | − | 0.976297i | \(-0.430557\pi\) |
−0.976297 | + | 0.216435i | \(0.930557\pi\) | |||||||
\(488\) | 2.26201e9 | + | 2.94734e9i | 0.881098 | + | 1.14805i | ||||
\(489\) | −8.22158e8 | + | 8.22158e8i | −0.317961 | + | 0.317961i | ||||
\(490\) | −1.09494e10 | + | 2.42779e9i | −4.20441 | + | 0.932232i | ||||
\(491\) | 3.74533e9 | + | 1.55137e9i | 1.42792 | + | 0.591465i | 0.956838 | − | 0.290623i | \(-0.0938626\pi\) |
0.471085 | + | 0.882088i | \(0.343863\pi\) | |||||||
\(492\) | 4.95571e8 | + | 4.54051e8i | 0.187598 | + | 0.171880i | ||||
\(493\) | −1.45372e8 | − | 3.50959e8i | −0.0546408 | − | 0.131914i | ||||
\(494\) | −2.54629e8 | + | 1.44433e9i | −0.0950304 | + | 0.539042i | ||||
\(495\) | 2.24459e9i | 0.831799i | ||||||||
\(496\) | −1.52703e7 | − | 1.28101e7i | −0.00561903 | − | 0.00471374i | ||||
\(497\) | − | 2.90081e8i | − | 0.105992i | ||||||
\(498\) | 6.94103e8 | + | 1.22367e8i | 0.251838 | + | 0.0443978i | ||||
\(499\) | −8.44183e8 | − | 2.03804e9i | −0.304148 | − | 0.734278i | −0.999872 | − | 0.0159694i | \(-0.994917\pi\) |
0.695725 | − | 0.718309i | \(-0.255083\pi\) | |||||||
\(500\) | −3.69472e8 | − | 8.45028e9i | −0.132186 | − | 3.02326i | ||||
\(501\) | 1.30542e9 | + | 5.40724e8i | 0.463787 | + | 0.192107i | ||||
\(502\) | 8.92841e8 | + | 4.02675e9i | 0.315000 | + | 1.42067i | ||||
\(503\) | −1.32321e9 | + | 1.32321e9i | −0.463597 | + | 0.463597i | −0.899832 | − | 0.436236i | \(-0.856311\pi\) |
0.436236 | + | 0.899832i | \(0.356311\pi\) | |||||||
\(504\) | −1.21298e9 | − | 4.52522e9i | −0.422033 | − | 1.57446i | ||||
\(505\) | 3.19658e9 | + | 3.19658e9i | 1.10450 | + | 1.10450i | ||||
\(506\) | 1.46168e8 | − | 2.29454e8i | 0.0501564 | − | 0.0787351i | ||||
\(507\) | 1.20981e8 | − | 2.92075e8i | 0.0412278 | − | 0.0995328i | ||||
\(508\) | 1.65342e8 | − | 4.54360e8i | 0.0559577 | − | 0.153772i | ||||
\(509\) | 2.26900e9 | − | 9.39851e8i | 0.762645 | − | 0.315898i | 0.0327556 | − | 0.999463i | \(-0.489572\pi\) |
0.729889 | + | 0.683566i | \(0.239572\pi\) | |||||||
\(510\) | −4.96195e8 | + | 3.47462e8i | −0.165637 | + | 0.115988i | ||||
\(511\) | 4.88763e9 | 1.62041 | ||||||||
\(512\) | 2.14808e9 | + | 2.14688e9i | 0.707304 | + | 0.706910i | ||||
\(513\) | 8.62828e8 | 0.282172 | ||||||||
\(514\) | 1.67154e9 | − | 1.17050e9i | 0.542931 | − | 0.380190i | ||||
\(515\) | −6.42509e9 | + | 2.66136e9i | −2.07278 | + | 0.858574i | ||||
\(516\) | 5.24197e8 | − | 1.44050e9i | 0.167966 | − | 0.461571i | ||||
\(517\) | 7.86120e7 | − | 1.89786e8i | 0.0250191 | − | 0.0604015i | ||||
\(518\) | 1.29232e9 | − | 2.02868e9i | 0.408523 | − | 0.641296i | ||||
\(519\) | −8.00448e7 | − | 8.00448e7i | −0.0251332 | − | 0.0251332i | ||||
\(520\) | 1.82422e9 | + | 6.80554e9i | 0.568938 | + | 2.12252i | ||||
\(521\) | 4.67520e8 | − | 4.67520e8i | 0.144833 | − | 0.144833i | −0.630972 | − | 0.775805i | \(-0.717344\pi\) |
0.775805 | + | 0.630972i | \(0.217344\pi\) | |||||||
\(522\) | 2.66744e8 | + | 1.20303e9i | 0.0820819 | + | 0.370193i | ||||
\(523\) | −1.01684e9 | − | 4.21191e8i | −0.310813 | − | 0.128743i | 0.221824 | − | 0.975087i | \(-0.428799\pi\) |
−0.532637 | + | 0.846344i | \(0.678799\pi\) | |||||||
\(524\) | 1.21455e8 | + | 2.77784e9i | 0.0368772 | + | 0.843427i | ||||
\(525\) | −1.87170e9 | − | 4.51869e9i | −0.564520 | − | 1.36287i | ||||
\(526\) | 4.02986e9 | + | 7.10445e8i | 1.20737 | + | 0.212853i | ||||
\(527\) | − | 8.36340e6i | − | 0.00248912i | ||||||
\(528\) | −3.96275e8 | − | 3.32431e8i | −0.117160 | − | 0.0982839i | ||||
\(529\) | 3.27956e9i | 0.963209i | ||||||||
\(530\) | −4.66983e8 | + | 2.64887e9i | −0.136250 | + | 0.772850i | ||||
\(531\) | −1.43179e9 | − | 3.45665e9i | −0.415001 | − | 1.00190i | ||||
\(532\) | −2.18746e9 | − | 2.00419e9i | −0.629869 | − | 0.577097i | ||||
\(533\) | 3.03063e9 | + | 1.25533e9i | 0.866937 | + | 0.359097i | ||||
\(534\) | −1.62056e8 | + | 3.59322e7i | −0.0460544 | + | 0.0102115i | ||||
\(535\) | 4.06919e9 | − | 4.06919e9i | 1.14887 | − | 1.14887i | ||||
\(536\) | −1.28583e9 | − | 1.67540e9i | −0.360667 | − | 0.469940i | ||||
\(537\) | −4.26487e8 | − | 4.26487e8i | −0.118849 | − | 0.118849i | ||||
\(538\) | 1.00418e9 | + | 6.39692e8i | 0.278019 | + | 0.177106i | ||||
\(539\) | 1.53776e9 | − | 3.71248e9i | 0.422987 | − | 1.02118i | ||||
\(540\) | 3.75668e9 | − | 1.75205e9i | 1.02666 | − | 0.478816i | ||||
\(541\) | −5.16386e9 | + | 2.13894e9i | −1.40212 | + | 0.580775i | −0.950300 | − | 0.311336i | \(-0.899223\pi\) |
−0.451815 | + | 0.892112i | \(0.649223\pi\) | |||||||
\(542\) | 2.66081e8 | + | 3.79978e8i | 0.0717822 | + | 0.102509i | ||||
\(543\) | −5.92020e8 | −0.158686 | ||||||||
\(544\) | −1.10868e8 | + | 1.26949e9i | −0.0295264 | + | 0.338091i | ||||
\(545\) | −8.65240e9 | −2.28954 | ||||||||
\(546\) | 1.43669e9 | + | 2.05167e9i | 0.377737 | + | 0.539428i | ||||
\(547\) | 6.75577e7 | − | 2.79833e7i | 0.0176490 | − | 0.00731044i | −0.373841 | − | 0.927493i | \(-0.621960\pi\) |
0.391490 | + | 0.920182i | \(0.371960\pi\) | |||||||
\(548\) | 1.48996e9 | + | 3.19472e9i | 0.386762 | + | 0.829279i | ||||
\(549\) | 1.93519e9 | − | 4.67196e9i | 0.499138 | − | 1.20503i | ||||
\(550\) | 4.15764e9 | + | 2.64853e9i | 1.06556 | + | 0.678790i | ||||
\(551\) | 5.51773e8 | + | 5.51773e8i | 0.140517 | + | 0.140517i | ||||
\(552\) | −2.36128e8 | − | 3.10645e7i | −0.0597532 | − | 0.00786100i | ||||
\(553\) | 7.35832e9 | − | 7.35832e9i | 1.85029 | − | 1.85029i | ||||
\(554\) | 4.95150e8 | − | 1.09788e8i | 0.123724 | − | 0.0274329i | ||||
\(555\) | 9.32044e8 | + | 3.86065e8i | 0.231425 | + | 0.0958595i | ||||
\(556\) | −3.55425e9 | + | 3.87926e9i | −0.876972 | + | 0.957166i | ||||
\(557\) | −2.00229e9 | − | 4.83397e9i | −0.490947 | − | 1.18525i | −0.954239 | − | 0.299045i | \(-0.903332\pi\) |
0.463292 | − | 0.886206i | \(-0.346668\pi\) | |||||||
\(558\) | −4.71012e6 | + | 2.67173e7i | −0.00114766 | + | 0.00650987i | ||||
\(559\) | − | 7.48142e9i | − | 1.81152i | ||||||
\(560\) | −1.35937e10 | − | 4.28423e9i | −3.27100 | − | 1.03090i | ||||
\(561\) | − | 2.17036e8i | − | 0.0518994i | ||||||
\(562\) | 1.07727e9 | + | 1.89917e8i | 0.256004 | + | 0.0451322i | ||||
\(563\) | 2.10016e9 | + | 5.07023e9i | 0.495990 | + | 1.19742i | 0.951626 | + | 0.307259i | \(0.0994118\pi\) |
−0.455636 | + | 0.890166i | \(0.650588\pi\) | |||||||
\(564\) | −1.79660e8 | + | 7.85526e6i | −0.0421671 | + | 0.00184367i | ||||
\(565\) | 9.18397e9 | + | 3.80412e9i | 2.14220 | + | 0.887330i | ||||
\(566\) | −1.30871e9 | − | 5.90233e9i | −0.303378 | − | 1.36825i | ||||
\(567\) | −3.96099e9 | + | 3.96099e9i | −0.912563 | + | 0.912563i | ||||
\(568\) | 1.27952e8 | − | 2.21668e8i | 0.0292974 | − | 0.0507555i | ||||
\(569\) | −1.45583e9 | − | 1.45583e9i | −0.331298 | − | 0.331298i | 0.521781 | − | 0.853079i | \(-0.325268\pi\) |
−0.853079 | + | 0.521781i | \(0.825268\pi\) | |||||||
\(570\) | 6.68539e8 | − | 1.04947e9i | 0.151205 | − | 0.237360i | ||||
\(571\) | −3.17363e9 | + | 7.66182e9i | −0.713395 | + | 1.72229i | −0.0220567 | + | 0.999757i | \(0.507021\pi\) |
−0.691338 | + | 0.722531i | \(0.742979\pi\) | |||||||
\(572\) | −2.37225e9 | − | 8.63262e8i | −0.529998 | − | 0.192866i | ||||
\(573\) | 6.56590e8 | − | 2.71968e8i | 0.145798 | − | 0.0603917i | ||||
\(574\) | −5.43557e9 | + | 3.80628e9i | −1.19965 | + | 0.840057i | ||||
\(575\) | 2.26979e9 | 0.497907 | ||||||||
\(576\) | 1.06913e9 | − | 3.99301e9i | 0.233105 | − | 0.870606i | ||||
\(577\) | 4.17121e9 | 0.903956 | 0.451978 | − | 0.892029i | \(-0.350719\pi\) | ||||
0.451978 | + | 0.892029i | \(0.350719\pi\) | |||||||
\(578\) | 3.36480e9 | − | 2.35621e9i | 0.724789 | − | 0.507536i | ||||
\(579\) | 2.10340e9 | − | 8.71259e8i | 0.450348 | − | 0.186540i | ||||
\(580\) | 3.52280e9 | + | 1.28195e9i | 0.749704 | + | 0.272817i | ||||
\(581\) | −2.66287e9 | + | 6.42873e9i | −0.563291 | + | 1.35991i | ||||
\(582\) | 2.58794e8 | − | 4.06254e8i | 0.0544157 | − | 0.0854214i | ||||
\(583\) | −6.81440e8 | − | 6.81440e8i | −0.142425 | − | 0.142425i | ||||
\(584\) | 3.73491e9 | + | 2.15589e9i | 0.775954 | + | 0.447901i | ||||
\(585\) | 6.78117e9 | − | 6.78117e9i | 1.40042 | − | 1.40042i | ||||
\(586\) | 1.38993e9 | + | 6.26865e9i | 0.285333 | + | 1.28686i | ||||
\(587\) | 1.42361e9 | + | 5.89680e8i | 0.290509 | + | 0.120333i | 0.523178 | − | 0.852223i | \(-0.324746\pi\) |
−0.232670 | + | 0.972556i | \(0.574746\pi\) | |||||||
\(588\) | −3.51439e9 | + | 1.53660e8i | −0.712901 | + | 0.0311702i | ||||
\(589\) | 6.57441e6 | + | 1.58720e7i | 0.00132572 | + | 0.00320058i | ||||
\(590\) | −1.12096e10 | − | 1.97619e9i | −2.24702 | − | 0.396139i | ||||
\(591\) | 1.66477e9i | 0.331740i | ||||||||
\(592\) | 1.88237e9 | − | 9.80195e8i | 0.372888 | − | 0.194172i | ||||
\(593\) | − | 4.36028e9i | − | 0.858663i | −0.903147 | − | 0.429332i | \(-0.858749\pi\) | ||
0.903147 | − | 0.429332i | \(-0.141251\pi\) | |||||||
\(594\) | −2.57852e8 | + | 1.46262e9i | −0.0504798 | + | 0.286337i | ||||
\(595\) | −2.28863e9 | − | 5.52525e9i | −0.445417 | − | 1.07533i | ||||
\(596\) | 3.12932e9 | − | 3.41548e9i | 0.605464 | − | 0.660830i | ||||
\(597\) | 1.68723e9 | + | 6.98872e8i | 0.324536 | + | 0.134427i | ||||
\(598\) | −1.13480e9 | + | 2.51616e8i | −0.217003 | + | 0.0481154i | ||||
\(599\) | −5.16166e9 | + | 5.16166e9i | −0.981285 | + | 0.981285i | −0.999828 | − | 0.0185430i | \(-0.994097\pi\) |
0.0185430 | + | 0.999828i | \(0.494097\pi\) | |||||||
\(600\) | 5.62881e8 | − | 4.27858e9i | 0.106387 | − | 0.808668i | ||||
\(601\) | −2.77678e9 | − | 2.77678e9i | −0.521772 | − | 0.521772i | 0.396334 | − | 0.918106i | \(-0.370282\pi\) |
−0.918106 | + | 0.396334i | \(0.870282\pi\) | |||||||
\(602\) | 1.27642e10 | + | 8.13115e9i | 2.38455 | + | 1.51902i | ||||
\(603\) | −1.10005e9 | + | 2.65576e9i | −0.204316 | + | 0.493263i | ||||
\(604\) | 2.00404e9 | + | 4.29699e9i | 0.370065 | + | 0.793478i | ||||
\(605\) | 7.28206e9 | − | 3.01633e9i | 1.33694 | − | 0.553777i | ||||
\(606\) | 8.13323e8 | + | 1.16147e9i | 0.148460 | + | 0.212009i | ||||
\(607\) | −9.32470e9 | −1.69229 | −0.846145 | − | 0.532953i | \(-0.821082\pi\) | ||||
−0.846145 | + | 0.532953i | \(0.821082\pi\) | |||||||
\(608\) | −7.87533e8 | − | 2.49639e9i | −0.142104 | − | 0.450453i | ||||
\(609\) | 1.33265e9 | 0.239086 | ||||||||
\(610\) | −8.82449e9 | − | 1.26019e10i | −1.57411 | − | 2.24792i | ||||
\(611\) | −8.10864e8 | + | 3.35871e8i | −0.143815 | + | 0.0595700i | ||||
\(612\) | 1.57193e9 | − | 7.33122e8i | 0.277206 | − | 0.129284i | ||||
\(613\) | −2.11651e9 | + | 5.10971e9i | −0.371115 | + | 0.895952i | 0.622447 | + | 0.782662i | \(0.286139\pi\) |
−0.993562 | + | 0.113290i | \(0.963861\pi\) | |||||||
\(614\) | 2.30187e9 | + | 1.46635e9i | 0.401320 | + | 0.255652i | ||||
\(615\) | −1.96798e9 | − | 1.96798e9i | −0.341160 | − | 0.341160i | ||||
\(616\) | 4.05110e9 | − | 3.10912e9i | 0.698298 | − | 0.535926i | ||||
\(617\) | −1.60027e8 | + | 1.60027e8i | −0.0274281 | + | 0.0274281i | −0.720688 | − | 0.693260i | \(-0.756174\pi\) |
0.693260 | + | 0.720688i | \(0.256174\pi\) | |||||||
\(618\) | −2.12958e9 | + | 4.72186e8i | −0.362939 | + | 0.0804735i | ||||
\(619\) | −4.41588e9 | − | 1.82912e9i | −0.748341 | − | 0.309973i | −0.0242766 | − | 0.999705i | \(-0.507728\pi\) |
−0.724065 | + | 0.689732i | \(0.757728\pi\) | |||||||
\(620\) | 6.08540e7 | + | 5.57555e7i | 0.0102546 | + | 0.00939543i | ||||
\(621\) | 2.61693e8 | + | 6.31782e8i | 0.0438502 | + | 0.105864i | ||||
\(622\) | 8.13967e7 | − | 4.61707e8i | 0.0135625 | − | 0.0769308i | ||||
\(623\) | − | 1.63880e9i | − | 0.271530i | ||||||
\(624\) | 1.92882e8 | + | 2.20151e9i | 0.0317794 | + | 0.362723i | ||||
\(625\) | 1.91807e10i | 3.14256i | ||||||||
\(626\) | 4.81295e9 | + | 8.48499e8i | 0.784153 | + | 0.138242i | ||||
\(627\) | 1.70611e8 | + | 4.11891e8i | 0.0276420 | + | 0.0667338i | ||||
\(628\) | −1.15391e8 | − | 2.63913e9i | −0.0185914 | − | 0.425208i | ||||
\(629\) | 8.22723e8 | + | 3.40783e8i | 0.131819 | + | 0.0546010i | ||||
\(630\) | 4.19942e9 | + | 1.89396e10i | 0.669110 | + | 3.01772i | ||||
\(631\) | −3.66542e9 | + | 3.66542e9i | −0.580792 | + | 0.580792i | −0.935121 | − | 0.354329i | \(-0.884709\pi\) |
0.354329 | + | 0.935121i | \(0.384709\pi\) | |||||||
\(632\) | 8.86860e9 | − | 2.37722e9i | 1.39748 | − | 0.374593i | ||||
\(633\) | 3.08000e8 | + | 3.08000e8i | 0.0482656 | + | 0.0482656i | ||||
\(634\) | −8.81818e7 | + | 1.38427e8i | −0.0137425 | + | 0.0215729i | ||||
\(635\) | −7.66179e8 | + | 1.84972e9i | −0.118747 | + | 0.286680i | ||||
\(636\) | −2.88494e8 | + | 7.92783e8i | −0.0444669 | + | 0.122195i | ||||
\(637\) | −1.58616e10 | + | 6.57009e9i | −2.43141 | + | 1.00712i | ||||
\(638\) | −1.10023e9 | + | 7.70438e8i | −0.167730 | + | 0.117453i | ||||
\(639\) | −3.48368e8 | −0.0528184 | ||||||||
\(640\) | −8.49799e9 | − | 9.26990e9i | −1.28141 | − | 1.39780i | ||||
\(641\) | 8.88599e8 | 0.133261 | 0.0666304 | − | 0.997778i | \(-0.478775\pi\) | ||||
0.0666304 | + | 0.997778i | \(0.478775\pi\) | |||||||
\(642\) | 1.47853e9 | − | 1.03534e9i | 0.220524 | − | 0.154423i | ||||
\(643\) | 5.37964e9 | − | 2.22832e9i | 0.798023 | − | 0.330552i | 0.0538584 | − | 0.998549i | \(-0.482848\pi\) |
0.744164 | + | 0.667997i | \(0.232848\pi\) | |||||||
\(644\) | 8.04065e8 | − | 2.20958e9i | 0.118629 | − | 0.325993i | ||||
\(645\) | −2.42908e9 | + | 5.86432e9i | −0.356437 | + | 0.860516i | ||||
\(646\) | 5.90125e8 | − | 9.26374e8i | 0.0861252 | − | 0.135199i | ||||
\(647\) | 5.03417e9 | + | 5.03417e9i | 0.730739 | + | 0.730739i | 0.970766 | − | 0.240027i | \(-0.0771562\pi\) |
−0.240027 | + | 0.970766i | \(0.577156\pi\) | |||||||
\(648\) | −4.77397e9 | + | 1.27966e9i | −0.689235 | + | 0.184749i | ||||
\(649\) | 2.88374e9 | − | 2.88374e9i | 0.414095 | − | 0.414095i | ||||
\(650\) | −4.55922e9 | − | 2.05623e10i | −0.651169 | − | 2.93680i | ||||
\(651\) | 2.71064e7 | + | 1.12278e7i | 0.00385069 | + | 0.00159501i | ||||
\(652\) | −4.42419e8 | − | 1.01187e10i | −0.0625125 | − | 1.42974i | ||||
\(653\) | 3.23573e8 | + | 7.81174e8i | 0.0454753 | + | 0.109787i | 0.944985 | − | 0.327114i | \(-0.106076\pi\) |
−0.899510 | + | 0.436901i | \(0.856076\pi\) | |||||||
\(654\) | −2.67265e9 | − | 4.71175e8i | −0.373611 | − | 0.0658658i | ||||
\(655\) | − | 1.15135e10i | − | 1.60089i | ||||||
\(656\) | −5.83254e9 | + | 5.11010e8i | −0.806667 | + | 0.0706750i | ||||
\(657\) | − | 5.86971e9i | − | 0.807492i | ||||||
\(658\) | 3.08247e8 | − | 1.74847e9i | 0.0421801 | − | 0.239259i | ||||
\(659\) | 4.10124e9 | + | 9.90127e9i | 0.558234 | + | 1.34770i | 0.911163 | + | 0.412046i | \(0.135186\pi\) |
−0.352930 | + | 0.935650i | \(0.614814\pi\) | |||||||
\(660\) | 1.57921e9 | + | 1.44690e9i | 0.213813 | + | 0.195900i | ||||
\(661\) | −7.76859e9 | − | 3.21785e9i | −1.04625 | − | 0.433372i | −0.207700 | − | 0.978192i | \(-0.566598\pi\) |
−0.838553 | + | 0.544820i | \(0.816598\pi\) | |||||||
\(662\) | −7.24056e9 | + | 1.60543e9i | −0.969995 | + | 0.215074i | ||||
\(663\) | −6.55694e8 | + | 6.55694e8i | −0.0873783 | + | 0.0873783i | ||||
\(664\) | −4.87050e9 | + | 3.73799e9i | −0.645633 | + | 0.495507i | ||||
\(665\) | 8.68672e9 | + | 8.68672e9i | 1.14546 | + | 1.14546i | ||||
\(666\) | −2.43630e9 | − | 1.55199e9i | −0.319574 | − | 0.203577i | ||||
\(667\) | −2.36670e8 | + | 5.71371e8i | −0.0308818 | + | 0.0745552i | ||||
\(668\) | −1.11549e10 | + | 5.20247e9i | −1.44793 | + | 0.675292i | ||||
\(669\) | −3.73353e9 | + | 1.54648e9i | −0.482091 | + | 0.199688i | ||||
\(670\) | 5.01626e9 | + | 7.16349e9i | 0.644344 | + | 0.920159i | ||||
\(671\) | 5.51207e9 | 0.704346 | ||||||||
\(672\) | −3.96568e9 | − | 2.06362e9i | −0.504110 | − | 0.262324i | ||||
\(673\) | 3.82014e9 | 0.483088 | 0.241544 | − | 0.970390i | \(-0.422346\pi\) | ||||
0.241544 | + | 0.970390i | \(0.422346\pi\) | |||||||
\(674\) | 3.84728e9 | + | 5.49412e9i | 0.483999 | + | 0.691176i | ||||
\(675\) | −1.14477e10 | + | 4.74180e9i | −1.43270 | + | 0.593445i | ||||
\(676\) | 1.16400e9 | + | 2.49580e9i | 0.144924 | + | 0.310739i | ||||
\(677\) | 5.04782e9 | − | 1.21865e10i | 0.625235 | − | 1.50945i | −0.220245 | − | 0.975445i | \(-0.570686\pi\) |
0.845480 | − | 0.534007i | \(-0.179314\pi\) | |||||||
\(678\) | 2.62969e9 | + | 1.67518e9i | 0.324041 | + | 0.206423i | ||||
\(679\) | 3.36267e9 | + | 3.36267e9i | 0.412230 | + | 0.412230i | ||||
\(680\) | 6.88266e8 | − | 5.23165e9i | 0.0839412 | − | 0.638055i | ||||
\(681\) | −1.12556e9 | + | 1.12556e9i | −0.136570 | + | 0.136570i | ||||
\(682\) | −2.88700e7 | + | 6.40127e6i | −0.00348500 | + | 0.000772718i | ||||
\(683\) | 1.00138e10 | + | 4.14784e9i | 1.20261 | + | 0.498137i | 0.891841 | − | 0.452348i | \(-0.149414\pi\) |
0.310769 | + | 0.950486i | \(0.399414\pi\) | |||||||
\(684\) | −2.40690e9 | + | 2.62700e9i | −0.287582 | + | 0.313880i | ||||
\(685\) | −5.58592e9 | − | 1.34856e10i | −0.664015 | − | 1.60307i | ||||
\(686\) | 3.37469e9 | − | 1.91423e10i | 0.399116 | − | 2.26391i | ||||
\(687\) | − | 7.12975e8i | − | 0.0838930i | ||||||
\(688\) | 6.16728e9 | + | 1.18437e10i | 0.721995 | + | 1.38652i | ||||
\(689\) | 4.11743e9i | 0.479577i | ||||||||
\(690\) | 9.71210e8 | + | 1.71219e8i | 0.112549 | + | 0.0198418i | ||||
\(691\) | 2.03692e9 | + | 4.91756e9i | 0.234856 | + | 0.566992i | 0.996736 | − | 0.0807256i | \(-0.0257237\pi\) |
−0.761881 | + | 0.647717i | \(0.775724\pi\) | |||||||
\(692\) | 9.85148e8 | − | 4.30736e7i | 0.113013 | − | 0.00494129i | ||||
\(693\) | −6.42160e9 | − | 2.65991e9i | −0.732954 | − | 0.303599i | ||||
\(694\) | −1.35084e9 | − | 6.09235e9i | −0.153407 | − | 0.691874i | ||||
\(695\) | 1.54051e10 | − | 1.54051e10i | 1.74067 | − | 1.74067i | ||||
\(696\) | 1.01835e9 | + | 5.87819e8i | 0.114489 | + | 0.0660863i | ||||
\(697\) | −1.73715e9 | − | 1.73715e9i | −0.194323 | − | 0.194323i | ||||
\(698\) | −5.70939e9 | + | 8.96257e9i | −0.635471 | + | 0.997559i | ||||
\(699\) | 1.54214e9 | − | 3.72306e9i | 0.170787 | − | 0.412316i | ||||
\(700\) | 4.00369e10 | + | 1.45694e10i | 4.41182 | + | 1.60546i | ||||
\(701\) | 2.36690e9 | − | 9.80402e8i | 0.259518 | − | 0.107496i | −0.249131 | − | 0.968470i | \(-0.580145\pi\) |
0.508649 | + | 0.860974i | \(0.330145\pi\) | |||||||
\(702\) | 5.19774e9 | − | 3.63974e9i | 0.567068 | − | 0.397091i | ||||
\(703\) | −1.82925e9 | −0.198577 | ||||||||
\(704\) | 4.46708e9 | − | 5.88947e8i | 0.482525 | − | 0.0636168i | ||||
\(705\) | 7.44647e8 | 0.0800366 | ||||||||
\(706\) | 1.16788e10 | − | 8.17815e9i | 1.24906 | − | 0.874659i | ||||
\(707\) | −1.29332e10 | + | 5.35713e9i | −1.37638 | + | 0.570117i | ||||
\(708\) | −3.35493e9 | − | 1.22086e9i | −0.355277 | − | 0.129285i | ||||
\(709\) | −3.16467e9 | + | 7.64020e9i | −0.333478 | + | 0.805087i | 0.664833 | + | 0.746992i | \(0.268503\pi\) |
−0.998311 | + | 0.0580952i | \(0.981497\pi\) | |||||||
\(710\) | −5.69415e8 | + | 8.93864e8i | −0.0597069 | + | 0.0937275i | ||||
\(711\) | −8.83685e9 | − | 8.83685e9i | −0.922048 | − | 0.922048i | ||||
\(712\) | 7.22861e8 | − | 1.25230e9i | 0.0750541 | − | 0.130025i | ||||
\(713\) | −9.62786e6 | + | 9.62786e6i | −0.000994756 | + | 0.000994756i | ||||
\(714\) | −4.06056e8 | − | 1.83133e9i | −0.0417486 | − | 0.188288i | ||||
\(715\) | 9.65752e9 | + | 4.00028e9i | 0.988086 | + | 0.409279i | ||||
\(716\) | 5.24897e9 | − | 2.29501e8i | 0.534415 | − | 0.0233662i | ||||
\(717\) | 1.59097e9 | + | 3.84095e9i | 0.161193 | + | 0.389154i | ||||
\(718\) | −9.99434e9 | − | 1.76195e9i | −1.00767 | − | 0.177647i | ||||
\(719\) | − | 5.97817e9i | − | 0.599815i | −0.953968 | − | 0.299907i | \(-0.903044\pi\) | ||
0.953968 | − | 0.299907i | \(-0.0969558\pi\) | |||||||
\(720\) | −5.14507e9 | + | 1.63251e10i | −0.513722 | + | 1.63002i | ||||
\(721\) | − | 2.15355e10i | − | 2.13984i | ||||||
\(722\) | 1.36408e9 | − | 7.73746e9i | 0.134883 | − | 0.765100i | ||||
\(723\) | 1.56899e9 | + | 3.78788e9i | 0.154396 | + | 0.372745i | ||||
\(724\) | 3.48384e9 | − | 3.80242e9i | 0.341172 | − | 0.372370i | ||||
\(725\) | −1.03531e10 | − | 4.28839e9i | −1.00899 | − | 0.417938i | ||||
\(726\) | 2.41362e9 | − | 5.35165e8i | 0.234094 | − | 0.0519051i | ||||
\(727\) | 5.45824e9 | − | 5.45824e9i | 0.526844 | − | 0.526844i | −0.392786 | − | 0.919630i | \(-0.628489\pi\) |
0.919630 | + | 0.392786i | \(0.128489\pi\) | |||||||
\(728\) | −2.16319e10 | − | 2.84585e9i | −2.07795 | − | 0.273371i | ||||
\(729\) | 3.36849e9 | + | 3.36849e9i | 0.322025 | + | 0.322025i | ||||
\(730\) | −1.50609e10 | − | 9.59417e9i | −1.43291 | − | 0.912804i | ||||
\(731\) | −2.14417e9 | + | 5.17649e9i | −0.203025 | + | 0.490145i | ||||
\(732\) | −2.03956e9 | − | 4.37315e9i | −0.192198 | − | 0.412103i | ||||
\(733\) | 5.72433e9 | − | 2.37110e9i | 0.536860 | − | 0.222375i | −0.0977450 | − | 0.995211i | \(-0.531163\pi\) |
0.634605 | + | 0.772837i | \(0.281163\pi\) | |||||||
\(734\) | 4.97724e9 | + | 7.10777e9i | 0.464572 | + | 0.663433i | ||||
\(735\) | 1.45663e10 | 1.35314 | ||||||||
\(736\) | 1.58906e9 | − | 1.33380e9i | 0.146915 | − | 0.123315i | ||||
\(737\) | −3.13332e9 | −0.288316 | ||||||||
\(738\) | 4.57108e9 | + | 6.52775e9i | 0.418622 | + | 0.597814i | ||||
\(739\) | 6.14527e9 | − | 2.54545e9i | 0.560125 | − | 0.232012i | −0.0846142 | − | 0.996414i | \(-0.526966\pi\) |
0.644740 | + | 0.764402i | \(0.276966\pi\) | |||||||
\(740\) | −7.96438e9 | + | 3.71445e9i | −0.722505 | + | 0.336964i | ||||
\(741\) | 7.28937e8 | − | 1.75981e9i | 0.0658152 | − | 0.158892i | ||||
\(742\) | −7.02483e9 | − | 4.47501e9i | −0.631280 | − | 0.402142i | ||||
\(743\) | 2.28783e9 | + | 2.28783e9i | 0.204627 | + | 0.204627i | 0.801979 | − | 0.597352i | \(-0.203780\pi\) |
−0.597352 | + | 0.801979i | \(0.703780\pi\) | |||||||
\(744\) | 1.57610e7 | + | 2.05362e7i | 0.00140307 | + | 0.00182817i | ||||
\(745\) | −1.35633e10 | + | 1.35633e10i | −1.20177 | + | 1.20177i | ||||
\(746\) | −2.63418e9 | + | 5.84069e8i | −0.232305 | + | 0.0515084i | ||||
\(747\) | 7.72047e9 | + | 3.19792e9i | 0.677675 | + | 0.280702i | ||||
\(748\) | 1.39398e9 | + | 1.27719e9i | 0.121787 | + | 0.111583i | ||||
\(749\) | 6.81951e9 | + | 1.64638e10i | 0.593017 | + | 1.43167i | ||||
\(750\) | −1.90729e9 | + | 1.08187e10i | −0.165083 | + | 0.936402i | ||||
\(751\) | − | 7.76165e9i | − | 0.668674i | −0.942454 | − | 0.334337i | \(-0.891488\pi\) | ||
0.942454 | − | 0.334337i | \(-0.108512\pi\) | |||||||
\(752\) | 1.00678e9 | − | 1.20014e9i | 0.0863325 | − | 0.102913i | ||||
\(753\) | − | 5.35690e9i | − | 0.457226i | ||||||
\(754\) | 5.65151e9 | + | 9.96333e8i | 0.480137 | + | 0.0846457i | ||||
\(755\) | −7.51322e9 | − | 1.81385e10i | −0.635348 | − | 1.53387i | ||||
\(756\) | 5.60696e8 | + | 1.28238e10i | 0.0471956 | + | 1.07942i | ||||
\(757\) | 9.47657e9 | + | 3.92532e9i | 0.793991 | + | 0.328882i | 0.742547 | − | 0.669794i | \(-0.233618\pi\) |
0.0514440 | + | 0.998676i | \(0.483618\pi\) | |||||||
\(758\) | 1.23521e9 | + | 5.57086e9i | 0.103015 | + | 0.464601i | ||||
\(759\) | −2.49850e8 | + | 2.49850e8i | −0.0207412 | + | 0.0207412i | ||||
\(760\) | 2.80638e9 | + | 1.04697e10i | 0.231899 | + | 0.865137i | ||||
\(761\) | 6.64143e9 | + | 6.64143e9i | 0.546280 | + | 0.546280i | 0.925363 | − | 0.379083i | \(-0.123760\pi\) |
−0.379083 | + | 0.925363i | \(0.623760\pi\) | |||||||
\(762\) | −3.37394e8 | + | 5.29639e8i | −0.0276245 | + | 0.0433648i | ||||
\(763\) | 1.02534e10 | − | 2.47539e10i | 0.835664 | − | 2.01747i | ||||
\(764\) | −2.11702e9 | + | 5.81758e9i | −0.171750 | + | 0.471971i | ||||
\(765\) | −6.63546e9 | + | 2.74850e9i | −0.535865 | + | 0.221963i | ||||
\(766\) | −6.04847e9 | + | 4.23546e9i | −0.486233 | + | 0.340487i | ||||
\(767\) | −1.74243e10 | −1.39435 | ||||||||
\(768\) | −2.12015e9 | − | 3.32616e9i | −0.168890 | − | 0.264959i | ||||
\(769\) | −1.39663e9 | −0.110749 | −0.0553745 | − | 0.998466i | \(-0.517635\pi\) | ||||
−0.0553745 | + | 0.998466i | \(0.517635\pi\) | |||||||
\(770\) | −1.73212e10 | + | 1.21292e10i | −1.36729 | + | 0.957449i | ||||
\(771\) | −2.44857e9 | + | 1.01423e9i | −0.192408 | + | 0.0796980i | ||||
\(772\) | −6.78193e9 | + | 1.86368e10i | −0.530509 | + | 1.45784i | ||||
\(773\) | 1.24846e9 | − | 3.01406e9i | 0.0972182 | − | 0.234706i | −0.867787 | − | 0.496936i | \(-0.834458\pi\) |
0.965005 | + | 0.262231i | \(0.0844582\pi\) | |||||||
\(774\) | 9.76496e9 | − | 1.53290e10i | 0.756968 | − | 1.18828i | ||||
\(775\) | −1.74454e8 | − | 1.74454e8i | −0.0134625 | − | 0.0134625i | ||||
\(776\) | 1.08636e9 | + | 4.05285e9i | 0.0834561 | + | 0.311347i | ||||
\(777\) | −2.20901e9 | + | 2.20901e9i | −0.168937 | + | 0.168937i | ||||
\(778\) | 1.61135e9 | + | 7.26729e9i | 0.122677 | + | 0.553278i | ||||
\(779\) | 4.66233e9 | + | 1.93120e9i | 0.353363 | + | 0.146368i | ||||
\(780\) | −3.99726e8 | − | 9.14223e9i | −0.0301600 | − | 0.689796i | ||||
\(781\) | −1.45314e8 | − | 3.50820e8i | −0.0109152 | − | 0.0263515i | ||||
\(782\) | 8.57295e8 | + | 1.51137e8i | 0.0641072 | + | 0.0113018i | ||||
\(783\) | − | 3.37615e9i | − | 0.251337i | ||||||
\(784\) | 1.96941e10 | − | 2.34764e10i | 1.45959 | − | 1.73990i | ||||
\(785\) | 1.09386e10i | 0.807080i | ||||||||
\(786\) | 6.26978e8 | − | 3.55642e9i | 0.0460547 | − | 0.261236i | ||||
\(787\) | −4.95582e9 | − | 1.19644e10i | −0.362413 | − | 0.874942i | −0.994946 | − | 0.100409i | \(-0.967985\pi\) |
0.632533 | − | 0.774533i | \(-0.282015\pi\) | |||||||
\(788\) | −1.06924e10 | − | 9.79660e9i | −0.778458 | − | 0.713237i | ||||
\(789\) | −4.91009e9 | − | 2.03382e9i | −0.355893 | − | 0.147416i | ||||
\(790\) | −3.71181e10 | + | 8.23010e9i | −2.67850 | + | 0.593896i | ||||
\(791\) | −2.17666e10 | + | 2.17666e10i | −1.56377 | + | 1.56377i | ||||
\(792\) | −3.73384e9 | − | 4.86510e9i | −0.267065 | − | 0.347979i | ||||
\(793\) | −1.66526e10 | − | 1.66526e10i | −1.18584 | − | 1.18584i | ||||
\(794\) | 6.65546e9 | + | 4.23971e9i | 0.471853 | + | 0.300583i | ||||
\(795\) | 1.33685e9 | − | 3.22745e9i | 0.0943624 | − | 0.227811i | ||||
\(796\) | −1.44175e10 | + | 6.72407e9i | −1.01320 | + | 0.472538i | ||||
\(797\) | −8.97119e9 | + | 3.71599e9i | −0.627691 | + | 0.259998i | −0.673772 | − | 0.738940i | \(-0.735327\pi\) |
0.0460808 | + | 0.998938i | \(0.485327\pi\) | |||||||
\(798\) | 2.21021e9 | + | 3.15630e9i | 0.153965 | + | 0.219871i | ||||
\(799\) | 6.57307e8 | 0.0455884 | ||||||||
\(800\) | 2.41680e10 | + | 2.87933e10i | 1.66888 | + | 1.98827i | ||||
\(801\) | −1.96809e9 | −0.135310 | ||||||||
\(802\) | −4.65771e9 | − | 6.65146e9i | −0.318832 | − | 0.455309i | ||||
\(803\) | 5.91103e9 | − | 2.44843e9i | 0.402864 | − | 0.166872i | ||||
\(804\) | 1.15938e9 | + | 2.48590e9i | 0.0786739 | + | 0.168689i | ||||
\(805\) | −3.72596e9 | + | 8.99527e9i | −0.251740 | + | 0.607755i | ||||
\(806\) | 1.06559e8 | + | 6.78809e7i | 0.00716832 | + | 0.00456641i | ||||
\(807\) | −1.09345e9 | − | 1.09345e9i | −0.0732386 | − | 0.0732386i | ||||
\(808\) | −1.22460e10 | − | 1.61106e9i | −0.816685 | − | 0.107441i | ||||
\(809\) | 9.05213e9 | − | 9.05213e9i | 0.601078 | − | 0.601078i | −0.339521 | − | 0.940599i | \(-0.610265\pi\) |
0.940599 | + | 0.339521i | \(0.110265\pi\) | |||||||
\(810\) | 1.99807e10 | − | 4.43027e9i | 1.32103 | − | 0.292909i | ||||
\(811\) | −1.02479e10 | − | 4.24481e9i | −0.674622 | − | 0.279438i | 0.0189545 | − | 0.999820i | \(-0.493966\pi\) |
−0.693577 | + | 0.720383i | \(0.743966\pi\) | |||||||
\(812\) | −7.84218e9 | + | 8.55931e9i | −0.514033 | + | 0.561038i | ||||
\(813\) | −2.30558e8 | − | 5.56616e8i | −0.0150475 | − | 0.0363278i | ||||
\(814\) | 5.46661e8 | − | 3.10083e9i | 0.0355249 | − | 0.201508i | ||||
\(815\) | 4.19395e10i | 2.71376i | ||||||||
\(816\) | 4.97494e8 | − | 1.57853e9i | 0.0320533 | − | 0.101704i | ||||
\(817\) | − | 1.15094e10i | − | 0.738375i | ||||||
\(818\) | −1.67739e10 | − | 2.95716e9i | −1.07151 | − | 0.188903i | ||||
\(819\) | 1.13645e10 | + | 2.74363e10i | 0.722865 | + | 1.74515i | ||||
\(820\) | 2.42208e10 | − | 1.05901e9i | 1.53405 | − | 0.0670735i | ||||
\(821\) | −8.53921e9 | − | 3.53706e9i | −0.538539 | − | 0.223070i | 0.0967998 | − | 0.995304i | \(-0.469139\pi\) |
−0.635338 | + | 0.772234i | \(0.719139\pi\) | |||||||
\(822\) | −9.91070e8 | − | 4.46977e9i | −0.0622376 | − | 0.280695i | ||||
\(823\) | 6.17113e9 | − | 6.17113e9i | 0.385891 | − | 0.385891i | −0.487328 | − | 0.873219i | \(-0.662028\pi\) |
0.873219 | + | 0.487328i | \(0.162028\pi\) | |||||||
\(824\) | 9.49912e9 | − | 1.64565e10i | 0.591477 | − | 1.02469i | ||||
\(825\) | −4.52722e9 | − | 4.52722e9i | −0.280700 | − | 0.280700i | ||||
\(826\) | 1.89375e10 | − | 2.97279e10i | 1.16921 | − | 1.83542i | ||||
\(827\) | −5.55165e9 | + | 1.34029e10i | −0.341313 | + | 0.824002i | 0.656271 | + | 0.754526i | \(0.272133\pi\) |
−0.997584 | + | 0.0694767i | \(0.977867\pi\) | |||||||
\(828\) | −2.65355e9 | − | 9.65627e8i | −0.162451 | − | 0.0591158i | ||||
\(829\) | 2.70945e10 | − | 1.12229e10i | 1.65174 | − | 0.684171i | 0.654333 | − | 0.756207i | \(-0.272949\pi\) |
0.997402 | + | 0.0720355i | \(0.0229495\pi\) | |||||||
\(830\) | 2.08247e10 | − | 1.45826e10i | 1.26417 | − | 0.885240i | ||||
\(831\) | −6.58711e8 | −0.0398191 | ||||||||
\(832\) | −1.52749e10 | − | 1.17163e10i | −0.919488 | − | 0.705276i | ||||
\(833\) | 1.28578e10 | 0.770743 | ||||||||
\(834\) | 5.59739e9 | − | 3.91959e9i | 0.334122 | − | 0.233970i | ||||
\(835\) | 4.70874e10 | − | 1.95042e10i | 2.79899 | − | 1.15938i | ||||
\(836\) | −3.64947e9 | − | 1.32804e9i | −0.216027 | − | 0.0786123i | ||||
\(837\) | 2.84448e7 | − | 6.86719e7i | 0.00167673 | − | 0.00404799i | ||||
\(838\) | −1.60599e9 | + | 2.52106e9i | −0.0942730 | + | 0.147989i | ||||
\(839\) | −8.40195e9 | − | 8.40195e9i | −0.491149 | − | 0.491149i | 0.417519 | − | 0.908668i | \(-0.362900\pi\) |
−0.908668 | + | 0.417519i | \(0.862900\pi\) | |||||||
\(840\) | 1.60322e10 | + | 9.25420e9i | 0.933287 | + | 0.538718i | ||||
\(841\) | −1.00385e10 | + | 1.00385e10i | −0.581945 | + | 0.581945i | ||||
\(842\) | 5.93342e9 | + | 2.67600e10i | 0.342541 | + | 1.54488i | ||||
\(843\) | −1.31257e9 | − | 5.43684e8i | −0.0754616 | − | 0.0312572i | ||||
\(844\) | −3.79070e9 | + | 1.65741e8i | −0.217030 | + | 0.00948923i | ||||
\(845\) | −4.36387e9 | − | 1.05353e10i | −0.248813 | − | 0.600688i | ||||
\(846\) | −2.09980e9 | − | 3.70184e8i | −0.119229 | − | 0.0210194i | ||||
\(847\) | 2.44079e10i | 1.38019i | ||||||||
\(848\) | −3.39419e9 | − | 6.51820e9i | −0.191139 | − | 0.367064i | ||||
\(849\) | 7.85203e9i | 0.440357i | ||||||||
\(850\) | −2.73856e9 | + | 1.55340e10i | −0.152952 | + | 0.867593i | ||||
\(851\) | −5.54804e8 | − | 1.33942e9i | −0.0308593 | − | 0.0745010i | ||||
\(852\) | −2.24564e8 | + | 2.45099e8i | −0.0124394 | + | 0.0135770i | ||||
\(853\) | 5.03640e9 | + | 2.08615e9i | 0.277842 | + | 0.115086i | 0.517254 | − | 0.855832i | \(-0.326954\pi\) |
−0.239411 | + | 0.970918i | \(0.576954\pi\) | |||||||
\(854\) | 4.65103e10 | − | 1.03126e10i | 2.55533 | − | 0.566585i | ||||
\(855\) | 1.04322e10 | − | 1.04322e10i | 0.570812 | − | 0.570812i | ||||
\(856\) | −2.05085e9 | + | 1.55889e10i | −0.111757 | + | 0.849489i | ||||
\(857\) | −1.84424e9 | − | 1.84424e9i | −0.100089 | − | 0.100089i | 0.655289 | − | 0.755378i | \(-0.272547\pi\) |
−0.755378 | + | 0.655289i | \(0.772547\pi\) | |||||||
\(858\) | 2.76528e9 | + | 1.76156e9i | 0.149463 | + | 0.0952121i | ||||
\(859\) | −1.15918e10 | + | 2.79852e10i | −0.623988 | + | 1.50644i | 0.222995 | + | 0.974820i | \(0.428417\pi\) |
−0.846983 | + | 0.531620i | \(0.821583\pi\) | |||||||
\(860\) | −2.33710e10 | − | 5.01111e10i | −1.25294 | − | 2.68651i | ||||
\(861\) | 7.96237e9 | − | 3.29812e9i | 0.425139 | − | 0.176098i | ||||
\(862\) | −9.57910e9 | − | 1.36795e10i | −0.509389 | − | 0.727434i | ||||
\(863\) | 3.12215e10 | 1.65354 | 0.826771 | − | 0.562538i | \(-0.190175\pi\) | ||||
0.826771 | + | 0.562538i | \(0.190175\pi\) | |||||||
\(864\) | −5.22801e9 | + | 1.00467e10i | −0.275765 | + | 0.529939i | ||||
\(865\) | −4.08321e9 | −0.214509 | ||||||||
\(866\) | 6.08995e9 | + | 8.69678e9i | 0.318641 | + | 0.455036i | ||||
\(867\) | −4.92897e9 | + | 2.04165e9i | −0.256856 | + | 0.106393i | ||||
\(868\) | −2.31626e8 | + | 1.08027e8i | −0.0120218 | + | 0.00560675i | ||||
\(869\) | 5.21294e9 | − | 1.25851e10i | 0.269472 | − | 0.650563i | ||||
\(870\) | −4.10645e9 | − | 2.61592e9i | −0.211422 | − | 0.134681i | ||||
\(871\) | 9.46615e9 | + | 9.46615e9i | 0.485411 | + | 0.485411i | ||||
\(872\) | 1.87539e10 | − | 1.43932e10i | 0.957821 | − | 0.735103i | ||||
\(873\) | 4.03834e9 | − | 4.03834e9i | 0.205425 | − | 0.205425i | ||||
\(874\) | −1.74578e9 | + | 3.87087e8i | −0.0884503 | + | 0.0196118i | ||||
\(875\) | −1.00202e11 | − | 4.15052e10i | −5.05649 | − | 2.09447i | ||||
\(876\) | −4.12971e9 | − | 3.78371e9i | −0.207565 | − | 0.190175i | ||||
\(877\) | 8.22833e9 | + | 1.98650e10i | 0.411920 | + | 0.994464i | 0.984622 | + | 0.174700i | \(0.0558954\pi\) |
−0.572701 | + | 0.819764i | \(0.694105\pi\) | |||||||
\(878\) | −4.90173e9 | + | 2.78041e10i | −0.244410 | + | 1.38637i | ||||
\(879\) | − | 8.33936e9i | − | 0.414163i | ||||||
\(880\) | −1.85862e10 | + | 1.62840e9i | −0.919393 | + | 0.0805513i | ||||
\(881\) | 3.22048e10i | 1.58674i | 0.608743 | + | 0.793368i | \(0.291674\pi\) | ||||
−0.608743 | + | 0.793368i | \(0.708326\pi\) | |||||||
\(882\) | −4.10749e10 | − | 7.24130e9i | −2.01575 | − | 0.355366i | ||||
\(883\) | −2.35055e9 | − | 5.67473e9i | −0.114897 | − | 0.277385i | 0.855962 | − | 0.517039i | \(-0.172966\pi\) |
−0.970858 | + | 0.239654i | \(0.922966\pi\) | |||||||
\(884\) | −3.52841e8 | − | 8.06992e9i | −0.0171789 | − | 0.392904i | ||||
\(885\) | 1.36580e10 | + | 5.65734e9i | 0.662349 | + | 0.274354i | ||||
\(886\) | −5.44454e9 | − | 2.45551e10i | −0.262993 | − | 1.18611i | ||||
\(887\) | 2.63129e10 | − | 2.63129e10i | 1.26601 | − | 1.26601i | 0.317872 | − | 0.948134i | \(-0.397032\pi\) |
0.948134 | − | 0.317872i | \(-0.102968\pi\) | |||||||
\(888\) | −2.66240e9 | + | 7.13653e8i | −0.127593 | + | 0.0342012i | ||||
\(889\) | −4.38396e9 | − | 4.38396e9i | −0.209272 | − | 0.209272i | ||||
\(890\) | −3.21688e9 | + | 5.04984e9i | −0.152957 | + | 0.240111i | ||||
\(891\) | −2.80613e9 | + | 6.77459e9i | −0.132903 | + | 0.320857i | ||||
\(892\) | 1.20379e10 | − | 3.30802e10i | 0.567902 | − | 1.56060i | ||||
\(893\) | −1.24743e9 | + | 5.16704e8i | −0.0586189 | + | 0.0242807i | ||||
\(894\) | −4.92820e9 | + | 3.45099e9i | −0.230678 | + | 0.161533i | ||||
\(895\) | −2.17557e10 | −1.01436 | ||||||||
\(896\) | 3.65909e10 | − | 1.33270e10i | 1.69940 | − | 0.618947i | ||||
\(897\) | 1.50966e9 | 0.0698400 | ||||||||
\(898\) | −1.91469e10 | + | 1.34077e10i | −0.882329 | + | 0.617854i | ||||
\(899\) | 6.21055e7 | − | 2.57249e7i | 0.00285083 | − | 0.00118085i | ||||
\(900\) | 1.74969e10 | − | 4.80817e10i | 0.800042 | − | 2.19852i | ||||
\(901\) | 1.18005e9 | − | 2.84890e9i | 0.0537483 | − | 0.129760i | ||||
\(902\) | −4.66697e9 | + | 7.32617e9i | −0.211744 | + | 0.332395i | ||||
\(903\) | −1.38988e10 | − | 1.38988e10i | −0.628162 | − | 0.628162i | ||||
\(904\) | −2.62342e10 | + | 7.03204e9i | −1.18108 | + | 0.316586i | ||||
\(905\) | −1.50999e10 | + | 1.50999e10i | −0.677181 | + | 0.677181i | ||||
\(906\) | −1.33302e9 | − | 6.01197e9i | −0.0595507 | − | 0.268577i | ||||
\(907\) | 4.60009e9 | + | 1.90542e9i | 0.204711 | + | 0.0847940i | 0.482683 | − | 0.875795i | \(-0.339662\pi\) |
−0.277972 | + | 0.960589i | \(0.589662\pi\) | |||||||
\(908\) | −6.05686e8 | − | 1.38528e10i | −0.0268502 | − | 0.614097i | ||||
\(909\) | 6.43355e9 | + | 1.55320e10i | 0.284104 | + | 0.685887i | ||||
\(910\) | 8.89734e10 | + | 1.56856e10i | 3.91395 | + | 0.690010i | ||||
\(911\) | 3.68292e10i | 1.61390i | 0.590617 | + | 0.806952i | \(0.298884\pi\) | ||||
−0.590617 | + | 0.806952i | \(0.701116\pi\) | |||||||
\(912\) | 2.96730e8 | + | 3.38681e9i | 0.0129533 | + | 0.147846i | ||||
\(913\) | 9.10876e9i | 0.396106i | ||||||||
\(914\) | −6.27817e9 | + | 3.56117e10i | −0.271970 | + | 1.54270i | ||||
\(915\) | 7.64638e9 | + | 1.84600e10i | 0.329976 | + | 0.796632i | ||||
\(916\) | 4.57929e9 | + | 4.19562e9i | 0.196863 | + | 0.180369i | ||||
\(917\) | 3.29392e10 | + | 1.36439e10i | 1.41066 | + | 0.584312i | ||||
\(918\) | −4.63953e9 | + | 1.02871e9i | −0.197936 | + | 0.0438877i | ||||
\(919\) | −2.57385e10 | + | 2.57385e10i | −1.09390 | + | 1.09390i | −0.0987948 | + | 0.995108i | \(0.531499\pi\) |
−0.995108 | + | 0.0987948i | \(0.968501\pi\) | |||||||
\(920\) | −6.81495e9 | + | 5.23030e9i | −0.288540 | + | 0.221447i | ||||
\(921\) | −2.50648e9 | − | 2.50648e9i | −0.105720 | − | 0.105720i | ||||
\(922\) | 1.73998e10 | + | 1.10842e10i | 0.731117 | + | 0.465741i | ||||
\(923\) | −6.20858e8 | + | 1.49888e9i | −0.0259888 | + | 0.0627425i | ||||
\(924\) | −6.01087e9 | + | 2.80337e9i | −0.250660 | + | 0.116904i | ||||
\(925\) | 2.42699e10 | − | 1.00529e10i | 1.00826 | − | 0.417634i | ||||
\(926\) | −6.84253e9 | − | 9.77151e9i | −0.283190 | − | 0.404411i | ||||
\(927\) | −2.58627e10 | −1.06634 | ||||||||
\(928\) | −9.76809e9 | + | 3.08153e9i | −0.401229 | + | 0.126575i | ||||
\(929\) | 3.58176e10 | 1.46569 | 0.732843 | − | 0.680398i | \(-0.238193\pi\) | ||||
0.732843 | + | 0.680398i | \(0.238193\pi\) | |||||||
\(930\) | −6.14867e7 | − | 8.78063e7i | −0.00250663 | − | 0.00357961i | ||||
\(931\) | −2.44015e10 | + | 1.01074e10i | −0.991044 | + | 0.410504i | ||||
\(932\) | 1.48374e10 | + | 3.18138e10i | 0.600348 | + | 1.28724i | ||||
\(933\) | −2.33018e8 | + | 5.62556e8i | −0.00939299 | + | 0.0226767i | ||||
\(934\) | −4.90602e9 | − | 3.12526e9i | −0.197022 | − | 0.125508i | ||||
\(935\) | −5.53568e9 | − | 5.53568e9i | −0.221478 | − | 0.221478i | ||||
\(936\) | −3.41767e9 | + | 2.59785e10i | −0.136228 | + | 1.03549i | ||||
\(937\) | −1.33026e10 | + | 1.33026e10i | −0.528260 | + | 0.528260i | −0.920053 | − | 0.391793i | \(-0.871855\pi\) |
0.391793 | + | 0.920053i | \(0.371855\pi\) | |||||||
\(938\) | −2.64386e10 | + | 5.86216e9i | −1.04599 | + | 0.231925i | ||||
\(939\) | −5.86421e9 | − | 2.42904e9i | −0.231143 | − | 0.0957424i | ||||
\(940\) | −4.38200e9 | + | 4.78271e9i | −0.172078 | + | 0.187813i | ||||
\(941\) | −9.51915e9 | − | 2.29813e10i | −0.372421 | − | 0.899104i | −0.993339 | − | 0.115229i | \(-0.963240\pi\) |
0.620918 | − | 0.783876i | \(-0.286760\pi\) | |||||||
\(942\) | −5.95670e8 | + | 3.37883e9i | −0.0232182 | + | 0.131701i | ||||
\(943\) | 3.99959e9i | 0.155319i | ||||||||
\(944\) | 2.75839e10 | − | 1.43636e10i | 1.06722 | − | 0.555728i | ||||
\(945\) | − | 5.31517e10i | − | 2.04883i | ||||||
\(946\) | 1.95101e10 | + | 3.43954e9i | 0.749274 | + | 0.132093i | ||||
\(947\) | −1.46508e10 | − | 3.53701e10i | −0.560578 | − | 1.35335i | −0.909305 | − | 0.416130i | \(-0.863386\pi\) |
0.348727 | − | 0.937224i | \(-0.386614\pi\) | |||||||
\(948\) | −1.19136e10 | + | 5.20900e8i | −0.454167 | + | 0.0198575i | ||||
\(949\) | −2.52549e10 | − | 1.04609e10i | −0.959212 | − | 0.397319i | ||||
\(950\) | −7.01391e9 | − | 3.16330e10i | −0.265416 | − | 1.19704i | ||||
\(951\) | 1.50732e8 | − | 1.50732e8i | 0.00568295 | − | 0.00568295i | ||||
\(952\) | 1.41518e10 | + | 8.16876e9i | 0.531595 | + | 0.306851i | ||||
\(953\) | −1.11316e10 | − | 1.11316e10i | −0.416614 | − | 0.416614i | 0.467421 | − | 0.884035i | \(-0.345183\pi\) |
−0.884035 | + | 0.467421i | \(0.845183\pi\) | |||||||
\(954\) | −5.37418e9 | + | 8.43635e9i | −0.200398 | + | 0.314583i | ||||
\(955\) | 9.81006e9 | − | 2.36836e10i | 0.364469 | − | 0.879905i | ||||
\(956\) | −3.40319e10 | − | 1.23842e10i | −1.25975 | − | 0.458423i | ||||
\(957\) | 1.61168e9 | − | 6.67581e8i | 0.0594413 | − | 0.0246214i | ||||
\(958\) | −3.51308e10 | + | 2.46005e10i | −1.29095 | + | 0.903992i | ||||
\(959\) | 4.52008e10 | 1.65494 | ||||||||
\(960\) | 8.16916e9 | + | 1.41433e10i | 0.298008 | + | 0.515943i | ||||
\(961\) | −2.75111e10 | −0.999946 | ||||||||
\(962\) | −1.10195e10 | + | 7.71646e9i | −0.399071 | + | 0.279451i | ||||
\(963\) | 1.97719e10 | − | 8.18978e9i | 0.713437 | − | 0.295515i | ||||
\(964\) | −3.35617e10 | − | 1.22131e10i | −1.20663 | − | 0.439093i | ||||
\(965\) | 3.14268e10 | − | 7.58711e10i | 1.12578 | − | 2.71788i | ||||
\(966\) | −1.64076e9 | + | 2.57566e9i | −0.0585633 | + | 0.0919323i | ||||
\(967\) | 6.58421e8 | + | 6.58421e8i | 0.0234159 | + | 0.0234159i | 0.718718 | − | 0.695302i | \(-0.244729\pi\) |
−0.695302 | + | 0.718718i | \(0.744729\pi\) | |||||||
\(968\) | −1.07661e10 | + | 1.86514e10i | −0.381500 | + | 0.660919i | ||||
\(969\) | −1.00872e9 | + | 1.00872e9i | −0.0356154 | + | 0.0356154i | ||||
\(970\) | −3.76106e9 | − | 1.69626e10i | −0.132315 | − | 0.596747i | ||||
\(971\) | 4.19677e10 | + | 1.73836e10i | 1.47112 | + | 0.609358i | 0.967114 | − | 0.254342i | \(-0.0818589\pi\) |
0.504006 | + | 0.863700i | \(0.331859\pi\) | |||||||
\(972\) | 2.35007e10 | − | 1.02752e9i | 0.820820 | − | 0.0358887i | ||||
\(973\) | 2.58172e10 | + | 6.23283e10i | 0.898493 | + | 2.16915i | ||||
\(974\) | −3.05183e10 | − | 5.38022e9i | −1.05829 | − | 0.186571i | ||||
\(975\) | 2.73546e10i | 0.945178i | ||||||||
\(976\) | 4.00899e10 | + | 1.26348e10i | 1.38026 | + | 0.435006i | ||||
\(977\) | − | 4.04824e10i | − | 1.38879i | −0.719596 | − | 0.694393i | \(-0.755673\pi\) | ||
0.719596 | − | 0.694393i | \(-0.244327\pi\) | |||||||
\(978\) | −2.28386e9 | + | 1.29548e10i | −0.0780698 | + | 0.442836i | ||||
\(979\) | −8.20947e8 | − | 1.98194e9i | −0.0279625 | − | 0.0675074i | ||||
\(980\) | −8.57179e10 | + | 9.35564e10i | −2.90925 | + | 3.17528i | ||||
\(981\) | −2.97277e10 | − | 1.23136e10i | −1.00536 | − | 0.416433i | ||||
\(982\) | 4.47773e10 | − | 9.92835e9i | 1.50893 | − | 0.334570i | ||||
\(983\) | −2.61535e10 | + | 2.61535e10i | −0.878199 | + | 0.878199i | −0.993348 | − | 0.115149i | \(-0.963265\pi\) |
0.115149 | + | 0.993348i | \(0.463265\pi\) | |||||||
\(984\) | 7.53927e9 | + | 9.91851e8i | 0.252259 | + | 0.0331867i | ||||
\(985\) | 4.24612e10 | + | 4.24612e10i | 1.41568 | + | 1.41568i | ||||
\(986\) | −3.62480e9 | − | 2.30909e9i | −0.120425 | − | 0.0767136i | ||||
\(987\) | −8.82432e8 | + | 2.13038e9i | −0.0292127 | + | 0.0705257i | ||||
\(988\) | 7.01333e9 | + | 1.50377e10i | 0.231353 | + | 0.496057i | ||||
\(989\) | 8.42747e9 | − | 3.49077e9i | 0.277019 | − | 0.114745i | ||||
\(990\) | 1.45664e10 | + | 2.08016e10i | 0.477121 | + | 0.681355i | ||||
\(991\) | −4.87777e10 | −1.59207 | −0.796037 | − | 0.605247i | \(-0.793074\pi\) | ||||
−0.796037 | + | 0.605247i | \(0.793074\pi\) | |||||||
\(992\) | −2.24648e8 | − | 1.96191e7i | −0.00730655 | − | 0.000638100i | ||||
\(993\) | 9.63232e9 | 0.312183 | ||||||||
\(994\) | −1.88250e9 | − | 2.68831e9i | −0.0607971 | − | 0.0868215i | ||||
\(995\) | 6.08593e10 | − | 2.52087e10i | 1.95860 | − | 0.811279i | ||||
\(996\) | 7.22668e9 | − | 3.37040e9i | 0.231756 | − | 0.108087i | ||||
\(997\) | −2.79337e9 | + | 6.74380e9i | −0.0892681 | + | 0.215512i | −0.962208 | − | 0.272315i | \(-0.912211\pi\) |
0.872940 | + | 0.487828i | \(0.162211\pi\) | |||||||
\(998\) | −2.10494e10 | − | 1.34090e10i | −0.670321 | − | 0.427012i | ||||
\(999\) | 5.59634e9 | + | 5.59634e9i | 0.177592 | + | 0.177592i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 32.8.g.a.21.23 | ✓ | 108 | |
32.29 | even | 8 | inner | 32.8.g.a.29.23 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.8.g.a.21.23 | ✓ | 108 | 1.1 | even | 1 | trivial | |
32.8.g.a.29.23 | yes | 108 | 32.29 | even | 8 | inner |