Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,28,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 28, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 28);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 28 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), 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: | \(73.8968919741\) |
Analytic rank: | \(0\) |
Dimension: | \(106\) |
Relative dimension: | \(53\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.28.e.a.5.3 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11565.4 | + | 677.061i | −0.998291 | + | 0.0584417i | ||||
\(3\) | 663110. | + | 663110.i | 0.240131 | + | 0.240131i | 0.816904 | − | 0.576773i | \(-0.195688\pi\) |
−0.576773 | + | 0.816904i | \(0.695688\pi\) | |||||||
\(4\) | 1.33301e8 | − | 1.56610e7i | 0.993169 | − | 0.116684i | ||||
\(5\) | 2.21940e8 | − | 2.21940e8i | 0.0813094 | − | 0.0813094i | −0.665282 | − | 0.746592i | \(-0.731689\pi\) |
0.746592 | + | 0.665282i | \(0.231689\pi\) | |||||||
\(6\) | −8.11812e9 | − | 7.22019e9i | −0.253755 | − | 0.225687i | ||||
\(7\) | − | 2.02008e11i | − | 0.788035i | −0.919103 | − | 0.394017i | \(-0.871085\pi\) | ||
0.919103 | − | 0.394017i | \(-0.128915\pi\) | |||||||
\(8\) | −1.53108e12 | + | 2.71379e11i | −0.984652 | + | 0.174527i | ||||
\(9\) | − | 6.74617e12i | − | 0.884674i | ||||||
\(10\) | −2.41657e12 | + | 2.71710e12i | −0.0764186 | + | 0.0859223i | ||||
\(11\) | −1.35048e14 | + | 1.35048e14i | −1.17947 | + | 1.17947i | −0.199590 | + | 0.979879i | \(0.563961\pi\) |
−0.979879 | + | 0.199590i | \(0.936039\pi\) | |||||||
\(12\) | 9.87782e13 | + | 7.80082e13i | 0.266510 | + | 0.210472i | ||||
\(13\) | −8.89396e14 | − | 8.89396e14i | −0.814442 | − | 0.814442i | 0.170855 | − | 0.985296i | \(-0.445347\pi\) |
−0.985296 | + | 0.170855i | \(0.945347\pi\) | |||||||
\(14\) | 1.36772e14 | + | 2.33631e15i | 0.0460541 | + | 0.786688i | ||||
\(15\) | 2.94342e14 | 0.0390499 | ||||||||
\(16\) | 1.75239e16 | − | 4.17525e15i | 0.972770 | − | 0.231773i | ||||
\(17\) | −1.92087e16 | −0.470367 | −0.235184 | − | 0.971951i | \(-0.575569\pi\) | ||||
−0.235184 | + | 0.971951i | \(0.575569\pi\) | |||||||
\(18\) | 4.56757e15 | + | 7.80224e16i | 0.0517019 | + | 0.883162i | ||||
\(19\) | 8.59540e16 | + | 8.59540e16i | 0.468913 | + | 0.468913i | 0.901562 | − | 0.432649i | \(-0.142421\pi\) |
−0.432649 | + | 0.901562i | \(0.642421\pi\) | |||||||
\(20\) | 2.61090e16 | − | 3.30606e16i | 0.0712665 | − | 0.0902415i | ||||
\(21\) | 1.33954e17 | − | 1.33954e17i | 0.189232 | − | 0.189232i | ||||
\(22\) | 1.47045e18 | − | 1.65332e18i | 1.10852 | − | 1.24638i | ||||
\(23\) | 4.07622e18i | 1.68629i | 0.537686 | + | 0.843145i | \(0.319299\pi\) | ||||
−0.537686 | + | 0.843145i | \(0.680701\pi\) | |||||||
\(24\) | −1.19523e18 | − | 8.35320e17i | −0.278355 | − | 0.194537i | ||||
\(25\) | 7.35207e18i | 0.986778i | ||||||||
\(26\) | 1.08884e19 | + | 9.68408e18i | 0.860647 | + | 0.765452i | ||||
\(27\) | 9.53006e18 | − | 9.53006e18i | 0.452569 | − | 0.452569i | ||||
\(28\) | −3.16365e18 | − | 2.69279e19i | −0.0919507 | − | 0.782652i | ||||
\(29\) | −6.58791e19 | − | 6.58791e19i | −1.19227 | − | 1.19227i | −0.976428 | − | 0.215843i | \(-0.930750\pi\) |
−0.215843 | − | 0.976428i | \(-0.569250\pi\) | |||||||
\(30\) | −3.40419e18 | + | 1.99287e17i | −0.0389831 | + | 0.00228214i | ||||
\(31\) | 1.72400e20 | 1.26810 | 0.634051 | − | 0.773291i | \(-0.281391\pi\) | ||||
0.634051 | + | 0.773291i | \(0.281391\pi\) | |||||||
\(32\) | −1.99844e20 | + | 6.01534e19i | −0.957562 | + | 0.288227i | ||||
\(33\) | −1.79103e20 | −0.566455 | ||||||||
\(34\) | 2.22157e20 | − | 1.30055e19i | 0.469563 | − | 0.0274891i | ||||
\(35\) | −4.48337e19 | − | 4.48337e19i | −0.0640746 | − | 0.0640746i | ||||
\(36\) | −1.05652e20 | − | 8.99270e20i | −0.103227 | − | 0.878631i | ||||
\(37\) | −7.86028e20 | + | 7.86028e20i | −0.530536 | + | 0.530536i | −0.920732 | − | 0.390196i | \(-0.872407\pi\) |
0.390196 | + | 0.920732i | \(0.372407\pi\) | |||||||
\(38\) | −1.05229e21 | − | 9.35899e20i | −0.495516 | − | 0.440708i | ||||
\(39\) | − | 1.17953e21i | − | 0.391146i | ||||||
\(40\) | −2.79578e20 | + | 4.00038e20i | −0.0658708 | + | 0.0942522i | ||||
\(41\) | − | 3.80051e21i | − | 0.641594i | −0.947148 | − | 0.320797i | \(-0.896049\pi\) | ||
0.947148 | − | 0.320797i | \(-0.103951\pi\) | |||||||
\(42\) | −1.45854e21 | + | 1.63993e21i | −0.177849 | + | 0.199967i | ||||
\(43\) | 3.06808e21 | − | 3.06808e21i | 0.272297 | − | 0.272297i | −0.557728 | − | 0.830024i | \(-0.688327\pi\) |
0.830024 | + | 0.557728i | \(0.188327\pi\) | |||||||
\(44\) | −1.58870e22 | + | 2.01170e22i | −1.03379 | + | 1.30904i | ||||
\(45\) | −1.49725e21 | − | 1.49725e21i | −0.0719323 | − | 0.0719323i | ||||
\(46\) | −2.75985e21 | − | 4.71433e22i | −0.0985497 | − | 1.68341i | ||||
\(47\) | −6.46916e22 | −1.72793 | −0.863967 | − | 0.503549i | \(-0.832027\pi\) | ||||
−0.863967 | + | 0.503549i | \(0.832027\pi\) | |||||||
\(48\) | 1.43889e22 | + | 8.85160e21i | 0.289248 | + | 0.177936i | ||||
\(49\) | 2.49051e22 | 0.379001 | ||||||||
\(50\) | −4.97780e21 | − | 8.50298e22i | −0.0576690 | − | 0.985091i | ||||
\(51\) | −1.27375e22 | − | 1.27375e22i | −0.112950 | − | 0.112950i | ||||
\(52\) | −1.32486e23 | − | 1.04628e23i | −0.903910 | − | 0.713846i | ||||
\(53\) | 7.95642e22 | − | 7.95642e22i | 0.419753 | − | 0.419753i | −0.465366 | − | 0.885118i | \(-0.654077\pi\) |
0.885118 | + | 0.465366i | \(0.154077\pi\) | |||||||
\(54\) | −1.03767e23 | + | 1.16672e23i | −0.425347 | + | 0.478245i | ||||
\(55\) | 5.99451e22i | 0.191804i | ||||||||
\(56\) | 5.48208e22 | + | 3.09291e23i | 0.137533 | + | 0.775940i | ||||
\(57\) | 1.13994e23i | 0.225201i | ||||||||
\(58\) | 8.06525e23 | + | 7.17317e23i | 1.25991 | + | 1.12055i | ||||
\(59\) | 9.06673e23 | − | 9.06673e23i | 1.12447 | − | 1.12447i | 0.133411 | − | 0.991061i | \(-0.457407\pi\) |
0.991061 | − | 0.133411i | \(-0.0425930\pi\) | |||||||
\(60\) | 3.92360e22 | − | 4.60969e21i | 0.0387831 | − | 0.00455648i | ||||
\(61\) | 1.36557e24 | + | 1.36557e24i | 1.07984 | + | 1.07984i | 0.996523 | + | 0.0833191i | \(0.0265521\pi\) |
0.0833191 | + | 0.996523i | \(0.473448\pi\) | |||||||
\(62\) | −1.99388e24 | + | 1.16725e23i | −1.26594 | + | 0.0741101i | ||||
\(63\) | −1.36278e24 | −0.697154 | ||||||||
\(64\) | 2.27056e24 | − | 8.31007e23i | 0.939081 | − | 0.343696i | ||||
\(65\) | −3.94785e23 | −0.132444 | ||||||||
\(66\) | 2.07141e24 | − | 1.21264e23i | 0.565487 | − | 0.0331046i | ||||
\(67\) | 5.98561e24 | + | 5.98561e24i | 1.33383 | + | 1.33383i | 0.901918 | + | 0.431907i | \(0.142159\pi\) |
0.431907 | + | 0.901918i | \(0.357841\pi\) | |||||||
\(68\) | −2.56054e24 | + | 3.00827e23i | −0.467154 | + | 0.0548842i | ||||
\(69\) | −2.70299e24 | + | 2.70299e24i | −0.404931 | + | 0.404931i | ||||
\(70\) | 5.48877e23 | + | 4.88166e23i | 0.0677097 | + | 0.0602205i | ||||
\(71\) | 1.14932e24i | 0.117072i | 0.998285 | + | 0.0585361i | \(0.0186433\pi\) | ||||
−0.998285 | + | 0.0585361i | \(0.981357\pi\) | |||||||
\(72\) | 1.83077e24 | + | 1.03289e25i | 0.154399 | + | 0.871096i | ||||
\(73\) | − | 2.28648e25i | − | 1.60069i | −0.599537 | − | 0.800347i | \(-0.704649\pi\) | ||
0.599537 | − | 0.800347i | \(-0.295351\pi\) | |||||||
\(74\) | 8.55857e24 | − | 9.62295e24i | 0.498624 | − | 0.560635i | ||||
\(75\) | −4.87523e24 | + | 4.87523e24i | −0.236956 | + | 0.236956i | ||||
\(76\) | 1.28039e25 | + | 1.01116e25i | 0.520424 | + | 0.410996i | ||||
\(77\) | 2.72808e25 | + | 2.72808e25i | 0.929463 | + | 0.929463i | ||||
\(78\) | 7.98617e23 | + | 1.36418e25i | 0.0228592 | + | 0.390477i | ||||
\(79\) | 4.29420e25 | 1.03494 | 0.517472 | − | 0.855700i | \(-0.326873\pi\) | ||||
0.517472 | + | 0.855700i | \(0.326873\pi\) | |||||||
\(80\) | 2.96259e24 | − | 4.81591e24i | 0.0602500 | − | 0.0979407i | ||||
\(81\) | −3.88046e25 | −0.667322 | ||||||||
\(82\) | 2.57318e24 | + | 4.39546e25i | 0.0374959 | + | 0.640498i | ||||
\(83\) | 1.59022e25 | + | 1.59022e25i | 0.196745 | + | 0.196745i | 0.798603 | − | 0.601858i | \(-0.205573\pi\) |
−0.601858 | + | 0.798603i | \(0.705573\pi\) | |||||||
\(84\) | 1.57583e25 | − | 1.99540e25i | 0.165859 | − | 0.210019i | ||||
\(85\) | −4.26318e24 | + | 4.26318e24i | −0.0382453 | + | 0.0382453i | ||||
\(86\) | −3.34064e25 | + | 3.75609e25i | −0.255918 | + | 0.287745i | ||||
\(87\) | − | 8.73702e25i | − | 0.572603i | ||||||
\(88\) | 1.70120e26 | − | 2.43418e26i | 0.955519 | − | 1.36722i | ||||
\(89\) | 1.45760e26i | 0.702868i | 0.936213 | + | 0.351434i | \(0.114306\pi\) | ||||
−0.936213 | + | 0.351434i | \(0.885694\pi\) | |||||||
\(90\) | 1.83300e25 | + | 1.63026e25i | 0.0760132 | + | 0.0676055i | ||||
\(91\) | −1.79665e26 | + | 1.79665e26i | −0.641808 | + | 0.641808i | ||||
\(92\) | 6.38378e25 | + | 5.43364e26i | 0.196762 | + | 1.67477i | ||||
\(93\) | 1.14320e26 | + | 1.14320e26i | 0.304511 | + | 0.304511i | ||||
\(94\) | 7.48187e26 | − | 4.38002e25i | 1.72498 | − | 0.100983i | ||||
\(95\) | 3.81533e25 | 0.0762541 | ||||||||
\(96\) | −1.72407e26 | − | 9.26304e25i | −0.299153 | − | 0.160728i | ||||
\(97\) | 1.15773e27 | 1.74658 | 0.873288 | − | 0.487204i | \(-0.161983\pi\) | ||||
0.873288 | + | 0.487204i | \(0.161983\pi\) | |||||||
\(98\) | −2.88038e26 | + | 1.68623e25i | −0.378354 | + | 0.0221495i | ||||
\(99\) | 9.11056e26 | + | 9.11056e26i | 1.04345 | + | 1.04345i | ||||
\(100\) | 1.15141e26 | + | 9.80037e26i | 0.115141 | + | 0.980037i | ||||
\(101\) | 1.30801e26 | − | 1.30801e26i | 0.114359 | − | 0.114359i | −0.647611 | − | 0.761971i | \(-0.724232\pi\) |
0.761971 | + | 0.647611i | \(0.224232\pi\) | |||||||
\(102\) | 1.55938e26 | + | 1.38690e26i | 0.119358 | + | 0.106156i | ||||
\(103\) | 9.63147e26i | 0.646234i | 0.946359 | + | 0.323117i | \(0.104731\pi\) | ||||
−0.946359 | + | 0.323117i | \(0.895269\pi\) | |||||||
\(104\) | 1.60310e27 | + | 1.12037e27i | 0.944084 | + | 0.659800i | ||||
\(105\) | − | 5.94594e25i | − | 0.0307726i | ||||||
\(106\) | −8.66325e26 | + | 9.74064e26i | −0.394504 | + | 0.443566i | ||||
\(107\) | 1.76213e27 | − | 1.76213e27i | 0.706898 | − | 0.706898i | −0.258984 | − | 0.965882i | \(-0.583388\pi\) |
0.965882 | + | 0.258984i | \(0.0833877\pi\) | |||||||
\(108\) | 1.12112e27 | − | 1.41962e27i | 0.396670 | − | 0.502285i | ||||
\(109\) | −1.02498e27 | − | 1.02498e27i | −0.320227 | − | 0.320227i | 0.528627 | − | 0.848854i | \(-0.322707\pi\) |
−0.848854 | + | 0.528627i | \(0.822707\pi\) | |||||||
\(110\) | −4.05865e25 | − | 6.93292e26i | −0.0112094 | − | 0.191476i | ||||
\(111\) | −1.04245e27 | −0.254797 | ||||||||
\(112\) | −8.43435e26 | − | 3.53996e27i | −0.182645 | − | 0.766576i | ||||
\(113\) | −1.75140e27 | −0.336378 | −0.168189 | − | 0.985755i | \(-0.553792\pi\) | ||||
−0.168189 | + | 0.985755i | \(0.553792\pi\) | |||||||
\(114\) | −7.71808e25 | − | 1.31839e27i | −0.0131612 | − | 0.224816i | ||||
\(115\) | 9.04678e26 | + | 9.04678e26i | 0.137111 | + | 0.137111i | ||||
\(116\) | −9.81348e27 | − | 7.75001e27i | −1.32325 | − | 1.04501i | ||||
\(117\) | −6.00001e27 | + | 6.00001e27i | −0.720515 | + | 0.720515i | ||||
\(118\) | −9.87220e27 | + | 1.10999e28i | −1.05683 | + | 1.18827i | ||||
\(119\) | 3.88031e27i | 0.370666i | ||||||||
\(120\) | −4.50660e26 | + | 7.98782e25i | −0.0384505 | + | 0.00681524i | ||||
\(121\) | − | 2.33659e28i | − | 1.78230i | ||||||
\(122\) | −1.67179e28 | − | 1.48688e28i | −1.14110 | − | 1.01489i | ||||
\(123\) | 2.52016e27 | − | 2.52016e27i | 0.154067 | − | 0.154067i | ||||
\(124\) | 2.29811e28 | − | 2.69996e27i | 1.25944 | − | 0.147967i | ||||
\(125\) | 3.28530e27 | + | 3.28530e27i | 0.161544 | + | 0.161544i | ||||
\(126\) | 1.57612e28 | − | 9.22686e26i | 0.695962 | − | 0.0407429i | ||||
\(127\) | −2.33146e28 | −0.925291 | −0.462645 | − | 0.886543i | \(-0.653100\pi\) | ||||
−0.462645 | + | 0.886543i | \(0.653100\pi\) | |||||||
\(128\) | −2.56974e28 | + | 1.11483e28i | −0.917390 | + | 0.397990i | ||||
\(129\) | 4.06895e27 | 0.130774 | ||||||||
\(130\) | 4.56586e27 | − | 2.67294e26i | 0.132217 | − | 0.00774023i | ||||
\(131\) | −6.64628e27 | − | 6.64628e27i | −0.173547 | − | 0.173547i | 0.614989 | − | 0.788536i | \(-0.289160\pi\) |
−0.788536 | + | 0.614989i | \(0.789160\pi\) | |||||||
\(132\) | −2.38746e28 | + | 2.80494e27i | −0.562586 | + | 0.0660960i | ||||
\(133\) | 1.73634e28 | − | 1.73634e28i | 0.369520 | − | 0.369520i | ||||
\(134\) | −7.32789e28 | − | 6.51736e28i | −1.40950 | − | 1.25359i | ||||
\(135\) | − | 4.23021e27i | − | 0.0735963i | ||||||
\(136\) | 2.94100e28 | − | 5.21284e27i | 0.463148 | − | 0.0820917i | ||||
\(137\) | 9.10738e28i | 1.29917i | 0.760289 | + | 0.649585i | \(0.225057\pi\) | ||||
−0.760289 | + | 0.649585i | \(0.774943\pi\) | |||||||
\(138\) | 2.94311e28 | − | 3.30913e28i | 0.380574 | − | 0.427904i | ||||
\(139\) | −4.72427e28 | + | 4.72427e28i | −0.554159 | + | 0.554159i | −0.927638 | − | 0.373479i | \(-0.878165\pi\) |
0.373479 | + | 0.927638i | \(0.378165\pi\) | |||||||
\(140\) | −6.67852e27 | − | 5.27423e27i | −0.0711134 | − | 0.0561605i | ||||
\(141\) | −4.28977e28 | − | 4.28977e28i | −0.414931 | − | 0.414931i | ||||
\(142\) | −7.78160e26 | − | 1.32924e28i | −0.00684189 | − | 0.116872i | ||||
\(143\) | 2.40222e29 | 1.92122 | ||||||||
\(144\) | −2.81670e28 | − | 1.18219e29i | −0.205044 | − | 0.860584i | ||||
\(145\) | −2.92425e28 | −0.193886 | ||||||||
\(146\) | 1.54808e28 | + | 2.64441e29i | 0.0935473 | + | 1.59796i | ||||
\(147\) | 1.65148e28 | + | 1.65148e28i | 0.0910101 | + | 0.0910101i | ||||
\(148\) | −9.24683e28 | + | 1.17088e29i | −0.465007 | + | 0.588817i | ||||
\(149\) | 9.86696e28 | − | 9.86696e28i | 0.453074 | − | 0.453074i | −0.443300 | − | 0.896373i | \(-0.646192\pi\) |
0.896373 | + | 0.443300i | \(0.146192\pi\) | |||||||
\(150\) | 5.30833e28 | − | 5.96850e28i | 0.222703 | − | 0.250399i | ||||
\(151\) | 1.00038e29i | 0.383686i | 0.981426 | + | 0.191843i | \(0.0614464\pi\) | ||||
−0.981426 | + | 0.191843i | \(0.938554\pi\) | |||||||
\(152\) | −1.54929e29 | − | 1.08276e29i | −0.543554 | − | 0.379879i | ||||
\(153\) | 1.29585e29i | 0.416122i | ||||||||
\(154\) | −3.33985e29 | − | 2.97043e29i | −0.982194 | − | 0.873555i | ||||
\(155\) | 3.82625e28 | − | 3.82625e28i | 0.103109 | − | 0.103109i | ||||
\(156\) | −1.84727e28 | − | 1.57233e29i | −0.0456403 | − | 0.388474i | ||||
\(157\) | 3.16820e29 | + | 3.16820e29i | 0.718071 | + | 0.718071i | 0.968210 | − | 0.250139i | \(-0.0804764\pi\) |
−0.250139 | + | 0.968210i | \(0.580476\pi\) | |||||||
\(158\) | −4.96643e29 | + | 2.90744e28i | −1.03317 | + | 0.0604839i | ||||
\(159\) | 1.05520e29 | 0.201591 | ||||||||
\(160\) | −3.10030e28 | + | 5.77039e28i | −0.0544232 | + | 0.101294i | ||||
\(161\) | 8.23431e29 | 1.32886 | ||||||||
\(162\) | 4.48792e29 | − | 2.62731e28i | 0.666181 | − | 0.0389994i | ||||
\(163\) | 4.14863e29 | + | 4.14863e29i | 0.566724 | + | 0.566724i | 0.931209 | − | 0.364485i | \(-0.118755\pi\) |
−0.364485 | + | 0.931209i | \(0.618755\pi\) | |||||||
\(164\) | −5.95199e28 | − | 5.06612e29i | −0.0748635 | − | 0.637211i | ||||
\(165\) | −3.97502e28 | + | 3.97502e28i | −0.0460581 | + | 0.0460581i | ||||
\(166\) | −1.94683e29 | − | 1.73149e29i | −0.207907 | − | 0.184910i | ||||
\(167\) | 4.22711e29i | 0.416266i | 0.978101 | + | 0.208133i | \(0.0667387\pi\) | ||||
−0.978101 | + | 0.208133i | \(0.933261\pi\) | |||||||
\(168\) | −1.68741e29 | + | 2.41446e29i | −0.153302 | + | 0.219354i | ||||
\(169\) | 3.89517e29i | 0.326630i | ||||||||
\(170\) | 4.64191e28 | − | 5.21919e28i | 0.0359448 | − | 0.0404150i | ||||
\(171\) | 5.79860e29 | − | 5.79860e29i | 0.414835 | − | 0.414835i | ||||
\(172\) | 3.60928e29 | − | 4.57027e29i | 0.238664 | − | 0.302209i | ||||
\(173\) | 2.05397e30 | + | 2.05397e30i | 1.25595 | + | 1.25595i | 0.953009 | + | 0.302941i | \(0.0979685\pi\) |
0.302941 | + | 0.953009i | \(0.402031\pi\) | |||||||
\(174\) | 5.91550e28 | + | 1.01048e30i | 0.0334639 | + | 0.571624i | ||||
\(175\) | 1.48518e30 | 0.777615 | ||||||||
\(176\) | −1.80270e30 | + | 2.93042e30i | −0.873983 | + | 1.42072i | ||||
\(177\) | 1.20245e30 | 0.540042 | ||||||||
\(178\) | −9.86885e28 | − | 1.68578e30i | −0.0410768 | − | 0.701667i | ||||
\(179\) | 2.28929e30 | + | 2.28929e30i | 0.883455 | + | 0.883455i | 0.993884 | − | 0.110429i | \(-0.0352224\pi\) |
−0.110429 | + | 0.993884i | \(0.535222\pi\) | |||||||
\(180\) | −2.23033e29 | − | 1.76136e29i | −0.0798343 | − | 0.0630476i | ||||
\(181\) | −1.91433e30 | + | 1.91433e30i | −0.635853 | + | 0.635853i | −0.949530 | − | 0.313677i | \(-0.898439\pi\) |
0.313677 | + | 0.949530i | \(0.398439\pi\) | |||||||
\(182\) | 1.95626e30 | − | 2.19955e30i | 0.603203 | − | 0.678220i | ||||
\(183\) | 1.81104e30i | 0.518608i | ||||||||
\(184\) | −1.10620e30 | − | 6.24102e30i | −0.294303 | − | 1.66041i | ||||
\(185\) | 3.48902e29i | 0.0862752i | ||||||||
\(186\) | −1.39956e30 | − | 1.24476e30i | −0.321787 | − | 0.286194i | ||||
\(187\) | 2.59409e30 | − | 2.59409e30i | 0.554784 | − | 0.554784i | ||||
\(188\) | −8.62345e30 | + | 1.01314e30i | −1.71613 | + | 0.201622i | ||||
\(189\) | −1.92515e30 | − | 1.92515e30i | −0.356640 | − | 0.356640i | ||||
\(190\) | −4.41259e29 | + | 2.58321e28i | −0.0761238 | + | 0.00445642i | ||||
\(191\) | −5.92432e30 | −0.952112 | −0.476056 | − | 0.879415i | \(-0.657934\pi\) | ||||
−0.476056 | + | 0.879415i | \(0.657934\pi\) | |||||||
\(192\) | 2.05668e30 | + | 9.54581e29i | 0.308035 | + | 0.142970i | ||||
\(193\) | 8.66032e30 | 1.20923 | 0.604617 | − | 0.796517i | \(-0.293326\pi\) | ||||
0.604617 | + | 0.796517i | \(0.293326\pi\) | |||||||
\(194\) | −1.33896e31 | + | 7.83851e29i | −1.74359 | + | 0.102073i | ||||
\(195\) | −2.61786e29 | − | 2.61786e29i | −0.0318038 | − | 0.0318038i | ||||
\(196\) | 3.31987e30 | − | 3.90039e29i | 0.376413 | − | 0.0442233i | ||||
\(197\) | 3.19524e30 | − | 3.19524e30i | 0.338228 | − | 0.338228i | −0.517472 | − | 0.855700i | \(-0.673127\pi\) |
0.855700 | + | 0.517472i | \(0.173127\pi\) | |||||||
\(198\) | −1.11536e31 | − | 9.91992e30i | −1.10264 | − | 0.980682i | ||||
\(199\) | − | 1.03044e31i | − | 0.951715i | −0.879522 | − | 0.475857i | \(-0.842138\pi\) | ||
0.879522 | − | 0.475857i | \(-0.157862\pi\) | |||||||
\(200\) | −1.99520e30 | − | 1.12566e31i | −0.172219 | − | 0.971633i | ||||
\(201\) | 7.93824e30i | 0.640586i | ||||||||
\(202\) | −1.42421e30 | + | 1.60133e30i | −0.107480 | + | 0.120847i | ||||
\(203\) | −1.33081e31 | + | 1.33081e31i | −0.939551 | + | 0.939551i | ||||
\(204\) | −1.89740e30 | − | 1.49843e30i | −0.125358 | − | 0.0989990i | ||||
\(205\) | −8.43487e29 | − | 8.43487e29i | −0.0521676 | − | 0.0521676i | ||||
\(206\) | −6.52109e29 | − | 1.11392e31i | −0.0377670 | − | 0.645130i | ||||
\(207\) | 2.74989e31 | 1.49182 | ||||||||
\(208\) | −1.92991e31 | − | 1.18722e31i | −0.981030 | − | 0.603498i | ||||
\(209\) | −2.32158e31 | −1.10614 | ||||||||
\(210\) | 4.02576e28 | + | 6.87674e29i | 0.00179841 | + | 0.0307201i | ||||
\(211\) | 1.42399e31 | + | 1.42399e31i | 0.596615 | + | 0.596615i | 0.939410 | − | 0.342795i | \(-0.111374\pi\) |
−0.342795 | + | 0.939410i | \(0.611374\pi\) | |||||||
\(212\) | 9.35992e30 | − | 1.18520e31i | 0.367907 | − | 0.465864i | ||||
\(213\) | −7.62126e29 | + | 7.62126e29i | −0.0281127 | + | 0.0281127i | ||||
\(214\) | −1.91867e31 | + | 2.15729e31i | −0.664377 | + | 0.747002i | ||||
\(215\) | − | 1.36186e30i | − | 0.0442805i | ||||||
\(216\) | −1.20050e31 | + | 1.71775e31i | −0.366638 | + | 0.524609i | ||||
\(217\) | − | 3.48262e31i | − | 0.999309i | ||||||
\(218\) | 1.25483e31 | + | 1.11604e31i | 0.338394 | + | 0.300965i | ||||
\(219\) | 1.51619e31 | − | 1.51619e31i | 0.384377 | − | 0.384377i | ||||
\(220\) | 9.38802e29 | + | 7.99074e30i | 0.0223804 | + | 0.190494i | ||||
\(221\) | 1.70841e31 | + | 1.70841e31i | 0.383087 | + | 0.383087i | ||||
\(222\) | 1.20564e31 | − | 7.05800e29i | 0.254361 | − | 0.0148907i | ||||
\(223\) | −1.60517e31 | −0.318718 | −0.159359 | − | 0.987221i | \(-0.550943\pi\) | ||||
−0.159359 | + | 0.987221i | \(0.550943\pi\) | |||||||
\(224\) | 1.21515e31 | + | 4.03702e31i | 0.227133 | + | 0.754592i | ||||
\(225\) | 4.95983e31 | 0.872976 | ||||||||
\(226\) | 2.02558e31 | − | 1.18581e30i | 0.335803 | − | 0.0196585i | ||||
\(227\) | 6.53451e30 | + | 6.53451e30i | 0.102062 | + | 0.102062i | 0.756294 | − | 0.654232i | \(-0.227008\pi\) |
−0.654232 | + | 0.756294i | \(0.727008\pi\) | |||||||
\(228\) | 1.78526e30 | + | 1.51955e31i | 0.0262773 | + | 0.223663i | ||||
\(229\) | −2.13448e31 | + | 2.13448e31i | −0.296151 | + | 0.296151i | −0.839504 | − | 0.543353i | \(-0.817155\pi\) |
0.543353 | + | 0.839504i | \(0.317155\pi\) | |||||||
\(230\) | −1.10755e31 | − | 9.85047e30i | −0.144890 | − | 0.128864i | ||||
\(231\) | 3.61803e31i | 0.446386i | ||||||||
\(232\) | 1.18744e32 | + | 8.29880e31i | 1.38206 | + | 0.965889i | ||||
\(233\) | 6.29729e31i | 0.691590i | 0.938310 | + | 0.345795i | \(0.112391\pi\) | ||||
−0.938310 | + | 0.345795i | \(0.887609\pi\) | |||||||
\(234\) | 6.53304e31 | − | 7.34552e31i | 0.677176 | − | 0.761392i | ||||
\(235\) | −1.43577e31 | + | 1.43577e31i | −0.140497 | + | 0.140497i | ||||
\(236\) | 1.06661e32 | − | 1.35060e32i | 0.985583 | − | 1.24800i | ||||
\(237\) | 2.84753e31 | + | 2.84753e31i | 0.248522 | + | 0.248522i | ||||
\(238\) | −2.62721e30 | − | 4.48775e31i | −0.0216623 | − | 0.370032i | ||||
\(239\) | −6.70350e31 | −0.522312 | −0.261156 | − | 0.965297i | \(-0.584104\pi\) | ||||
−0.261156 | + | 0.965297i | \(0.584104\pi\) | |||||||
\(240\) | 5.15800e30 | − | 1.22895e30i | 0.0379865 | − | 0.00905071i | ||||
\(241\) | −2.94270e31 | −0.204888 | −0.102444 | − | 0.994739i | \(-0.532666\pi\) | ||||
−0.102444 | + | 0.994739i | \(0.532666\pi\) | |||||||
\(242\) | 1.58202e31 | + | 2.70237e32i | 0.104161 | + | 1.77925i | ||||
\(243\) | −9.84041e31 | − | 9.84041e31i | −0.612814 | − | 0.612814i | ||||
\(244\) | 2.03417e32 | + | 1.60645e32i | 1.19847 | + | 0.946466i | ||||
\(245\) | 5.52744e30 | − | 5.52744e30i | 0.0308164 | − | 0.0308164i | ||||
\(246\) | −2.74404e31 | + | 3.08531e31i | −0.144800 | + | 0.162807i | ||||
\(247\) | − | 1.52894e32i | − | 0.763805i | ||||||
\(248\) | −2.63958e32 | + | 4.67858e31i | −1.24864 | + | 0.221318i | ||||
\(249\) | 2.10898e31i | 0.0944892i | ||||||||
\(250\) | −4.02203e31 | − | 3.57716e31i | −0.170708 | − | 0.151827i | ||||
\(251\) | 9.76128e31 | − | 9.76128e31i | 0.392565 | − | 0.392565i | −0.483036 | − | 0.875601i | \(-0.660466\pi\) |
0.875601 | + | 0.483036i | \(0.160466\pi\) | |||||||
\(252\) | −1.81660e32 | + | 2.13425e31i | −0.692392 | + | 0.0813464i | ||||
\(253\) | −5.50486e32 | − | 5.50486e32i | −1.98893 | − | 1.98893i | ||||
\(254\) | 2.69644e32 | − | 1.57854e31i | 0.923709 | − | 0.0540756i | ||||
\(255\) | −5.65391e30 | −0.0183678 | ||||||||
\(256\) | 2.89653e32 | − | 1.46333e32i | 0.892562 | − | 0.450924i | ||||
\(257\) | −7.05290e31 | −0.206192 | −0.103096 | − | 0.994671i | \(-0.532875\pi\) | ||||
−0.103096 | + | 0.994671i | \(0.532875\pi\) | |||||||
\(258\) | −4.70591e31 | + | 2.75492e30i | −0.130550 | + | 0.00764265i | ||||
\(259\) | 1.58784e32 | + | 1.58784e32i | 0.418081 | + | 0.418081i | ||||
\(260\) | −5.26252e31 | + | 6.18274e30i | −0.131539 | + | 0.0154540i | ||||
\(261\) | −4.44432e32 | + | 4.44432e32i | −1.05477 | + | 1.05477i | ||||
\(262\) | 8.13671e31 | + | 7.23672e31i | 0.183392 | + | 0.163108i | ||||
\(263\) | − | 4.56818e32i | − | 0.978004i | −0.872283 | − | 0.489002i | \(-0.837361\pi\) | ||
0.872283 | − | 0.489002i | \(-0.162639\pi\) | |||||||
\(264\) | 2.74222e32 | − | 4.86049e31i | 0.557761 | − | 0.0988616i | ||||
\(265\) | − | 3.53170e31i | − | 0.0682597i | ||||||
\(266\) | −1.89059e32 | + | 2.12571e32i | −0.347293 | + | 0.390484i | ||||
\(267\) | −9.66550e31 | + | 9.66550e31i | −0.168781 | + | 0.168781i | ||||
\(268\) | 8.91629e32 | + | 7.04147e32i | 1.48035 | + | 1.16908i | ||||
\(269\) | 6.44816e32 | + | 6.44816e32i | 1.01808 | + | 1.01808i | 0.999834 | + | 0.0182416i | \(0.00580679\pi\) |
0.0182416 | + | 0.999834i | \(0.494193\pi\) | |||||||
\(270\) | 2.86411e30 | + | 4.89242e31i | 0.00430109 | + | 0.0734705i | ||||
\(271\) | −2.20087e32 | −0.314419 | −0.157209 | − | 0.987565i | \(-0.550250\pi\) | ||||
−0.157209 | + | 0.987565i | \(0.550250\pi\) | |||||||
\(272\) | −3.36610e32 | + | 8.02011e31i | −0.457559 | + | 0.109019i | ||||
\(273\) | −2.38276e32 | −0.308236 | ||||||||
\(274\) | −6.16625e31 | − | 1.05331e33i | −0.0759257 | − | 1.29695i | ||||
\(275\) | −9.92882e32 | − | 9.92882e32i | −1.16387 | − | 1.16387i | ||||
\(276\) | −3.17979e32 | + | 4.02642e32i | −0.354916 | + | 0.449414i | ||||
\(277\) | −2.92280e31 | + | 2.92280e31i | −0.0310686 | + | 0.0310686i | −0.722470 | − | 0.691402i | \(-0.756993\pi\) |
0.691402 | + | 0.722470i | \(0.256993\pi\) | |||||||
\(278\) | 5.14396e32 | − | 5.78368e32i | 0.520826 | − | 0.585598i | ||||
\(279\) | − | 1.16304e33i | − | 1.12186i | ||||||
\(280\) | 8.08109e31 | + | 5.64770e31i | 0.0742740 | + | 0.0519085i | ||||
\(281\) | − | 1.10242e33i | − | 0.965635i | −0.875721 | − | 0.482817i | \(-0.839613\pi\) | ||
0.875721 | − | 0.482817i | \(-0.160387\pi\) | |||||||
\(282\) | 5.25175e32 | + | 4.67086e32i | 0.438471 | + | 0.389972i | ||||
\(283\) | −3.12691e32 | + | 3.12691e32i | −0.248885 | + | 0.248885i | −0.820513 | − | 0.571628i | \(-0.806312\pi\) |
0.571628 | + | 0.820513i | \(0.306312\pi\) | |||||||
\(284\) | 1.79995e31 | + | 1.53205e32i | 0.0136604 | + | 0.116272i | ||||
\(285\) | 2.52998e31 | + | 2.52998e31i | 0.0183110 | + | 0.0183110i | ||||
\(286\) | −2.77828e33 | + | 1.62645e32i | −1.91793 | + | 0.112279i | ||||
\(287\) | −7.67735e32 | −0.505598 | ||||||||
\(288\) | 4.05805e32 | + | 1.34818e33i | 0.254987 | + | 0.847130i | ||||
\(289\) | −1.29874e33 | −0.778755 | ||||||||
\(290\) | 3.38202e32 | − | 1.97989e31i | 0.193554 | − | 0.0113310i | ||||
\(291\) | 7.67700e32 | + | 7.67700e32i | 0.419407 | + | 0.419407i | ||||
\(292\) | −3.58085e32 | − | 3.04789e33i | −0.186775 | − | 1.58976i | ||||
\(293\) | −1.18705e33 | + | 1.18705e33i | −0.591232 | + | 0.591232i | −0.937964 | − | 0.346732i | \(-0.887291\pi\) |
0.346732 | + | 0.937964i | \(0.387291\pi\) | |||||||
\(294\) | −2.02183e32 | − | 1.79819e32i | −0.0961733 | − | 0.0855358i | ||||
\(295\) | − | 4.02454e32i | − | 0.182860i | ||||||
\(296\) | 9.90160e32 | − | 1.41678e33i | 0.429801 | − | 0.614986i | ||||
\(297\) | 2.57403e33i | 1.06758i | ||||||||
\(298\) | −1.07435e33 | + | 1.20796e33i | −0.425821 | + | 0.478778i | ||||
\(299\) | 3.62538e33 | − | 3.62538e33i | 1.37338 | − | 1.37338i | ||||
\(300\) | −5.73521e32 | + | 7.26223e32i | −0.207689 | + | 0.262986i | ||||
\(301\) | −6.19777e32 | − | 6.19777e32i | −0.214579 | − | 0.214579i | ||||
\(302\) | −6.77317e31 | − | 1.15698e33i | −0.0224232 | − | 0.383030i | ||||
\(303\) | 1.73470e32 | 0.0549225 | ||||||||
\(304\) | 1.86513e33 | + | 1.14737e33i | 0.564826 | + | 0.347463i | ||||
\(305\) | 6.06148e32 | 0.175603 | ||||||||
\(306\) | −8.77370e31 | − | 1.49871e33i | −0.0243189 | − | 0.415411i | ||||
\(307\) | 1.51049e33 | + | 1.51049e33i | 0.400635 | + | 0.400635i | 0.878457 | − | 0.477822i | \(-0.158573\pi\) |
−0.477822 | + | 0.878457i | \(0.658573\pi\) | |||||||
\(308\) | 4.06380e33 | + | 3.20931e33i | 1.03157 | + | 0.814661i | ||||
\(309\) | −6.38672e32 | + | 6.38672e32i | −0.155181 | + | 0.155181i | ||||
\(310\) | −4.16616e32 | + | 4.68428e32i | −0.0969066 | + | 0.108958i | ||||
\(311\) | 3.63876e33i | 0.810379i | 0.914233 | + | 0.405190i | \(0.132794\pi\) | ||||
−0.914233 | + | 0.405190i | \(0.867206\pi\) | |||||||
\(312\) | 3.20101e32 | + | 1.80596e33i | 0.0682654 | + | 0.385143i | ||||
\(313\) | 6.14360e33i | 1.25480i | 0.778697 | + | 0.627400i | \(0.215881\pi\) | ||||
−0.778697 | + | 0.627400i | \(0.784119\pi\) | |||||||
\(314\) | −3.87867e33 | − | 3.44965e33i | −0.758809 | − | 0.674878i | ||||
\(315\) | −3.02456e32 | + | 3.02456e32i | −0.0566852 | + | 0.0566852i | ||||
\(316\) | 5.72421e33 | − | 6.72515e32i | 1.02787 | − | 0.120761i | ||||
\(317\) | 2.73410e33 | + | 2.73410e33i | 0.470451 | + | 0.470451i | 0.902060 | − | 0.431610i | \(-0.142054\pi\) |
−0.431610 | + | 0.902060i | \(0.642054\pi\) | |||||||
\(318\) | −1.22038e33 | + | 7.14432e31i | −0.201247 | + | 0.0117813i | ||||
\(319\) | 1.77937e34 | 2.81250 | ||||||||
\(320\) | 3.19494e32 | − | 6.88362e32i | 0.0484104 | − | 0.104302i | ||||
\(321\) | 2.33697e33 | 0.339497 | ||||||||
\(322\) | −9.52333e33 | + | 5.57513e32i | −1.32658 | + | 0.0776606i | ||||
\(323\) | −1.65106e33 | − | 1.65106e33i | −0.220561 | − | 0.220561i | ||||
\(324\) | −5.17269e33 | + | 6.07719e32i | −0.662764 | + | 0.0778655i | ||||
\(325\) | 6.53890e33 | − | 6.53890e33i | 0.803673 | − | 0.803673i | ||||
\(326\) | −5.07896e33 | − | 4.51718e33i | −0.598876 | − | 0.532635i | ||||
\(327\) | − | 1.35935e33i | − | 0.153793i | ||||||
\(328\) | 1.03138e33 | + | 5.81889e33i | 0.111975 | + | 0.631747i | ||||
\(329\) | 1.30682e34i | 1.36167i | ||||||||
\(330\) | 4.32815e32 | − | 4.86642e32i | 0.0432877 | − | 0.0486711i | ||||
\(331\) | 2.13037e33 | − | 2.13037e33i | 0.204539 | − | 0.204539i | −0.597402 | − | 0.801942i | \(-0.703800\pi\) |
0.801942 | + | 0.597402i | \(0.203800\pi\) | |||||||
\(332\) | 2.36882e33 | + | 1.87073e33i | 0.218358 | + | 0.172444i | ||||
\(333\) | 5.30268e33 | + | 5.30268e33i | 0.469351 | + | 0.469351i | ||||
\(334\) | −2.86201e32 | − | 4.88884e33i | −0.0243273 | − | 0.415555i | ||||
\(335\) | 2.65690e33 | 0.216905 | ||||||||
\(336\) | 1.78809e33 | − | 2.90668e33i | 0.140220 | − | 0.227938i | ||||
\(337\) | −3.11876e32 | −0.0234951 | −0.0117476 | − | 0.999931i | \(-0.503739\pi\) | ||||
−0.0117476 | + | 0.999931i | \(0.503739\pi\) | |||||||
\(338\) | −2.63727e32 | − | 4.50494e33i | −0.0190888 | − | 0.326072i | ||||
\(339\) | −1.16137e33 | − | 1.16137e33i | −0.0807748 | − | 0.0807748i | ||||
\(340\) | −5.01520e32 | + | 6.35051e32i | −0.0335214 | + | 0.0424466i | ||||
\(341\) | −2.32823e34 | + | 2.32823e34i | −1.49569 | + | 1.49569i | ||||
\(342\) | −6.31373e33 | + | 7.09893e33i | −0.389882 | + | 0.438370i | ||||
\(343\) | − | 1.83055e34i | − | 1.08670i | ||||||
\(344\) | −3.86486e33 | + | 5.53008e33i | −0.220594 | + | 0.315640i | ||||
\(345\) | 1.19980e33i | 0.0658494i | ||||||||
\(346\) | −2.51458e34 | − | 2.23644e34i | −1.32720 | − | 1.18040i | ||||
\(347\) | 1.97855e34 | − | 1.97855e34i | 1.00438 | − | 1.00438i | 0.00439146 | − | 0.999990i | \(-0.498602\pi\) |
0.999990 | − | 0.00439146i | \(-0.00139785\pi\) | |||||||
\(348\) | −1.36831e33 | − | 1.16465e34i | −0.0668134 | − | 0.568692i | ||||
\(349\) | 1.37407e34 | + | 1.37407e34i | 0.645455 | + | 0.645455i | 0.951891 | − | 0.306436i | \(-0.0991365\pi\) |
−0.306436 | + | 0.951891i | \(0.599137\pi\) | |||||||
\(350\) | −1.71767e34 | + | 1.00556e33i | −0.776286 | + | 0.0454451i | ||||
\(351\) | −1.69520e34 | −0.737182 | ||||||||
\(352\) | 1.88650e34 | − | 3.51121e34i | 0.789460 | − | 1.46937i | ||||
\(353\) | −3.34923e34 | −1.34892 | −0.674461 | − | 0.738311i | \(-0.735624\pi\) | ||||
−0.674461 | + | 0.738311i | \(0.735624\pi\) | |||||||
\(354\) | −1.39068e34 | + | 8.14131e32i | −0.539119 | + | 0.0315610i | ||||
\(355\) | 2.55080e32 | + | 2.55080e32i | 0.00951906 | + | 0.00951906i | ||||
\(356\) | 2.28275e33 | + | 1.94300e34i | 0.0820132 | + | 0.698067i | ||||
\(357\) | −2.57307e33 | + | 2.57307e33i | −0.0890084 | + | 0.0890084i | ||||
\(358\) | −2.80266e34 | − | 2.49266e34i | −0.933576 | − | 0.830315i | ||||
\(359\) | − | 2.73910e34i | − | 0.878683i | −0.898320 | − | 0.439342i | \(-0.855212\pi\) | ||
0.898320 | − | 0.439342i | \(-0.144788\pi\) | |||||||
\(360\) | 2.69872e33 | + | 1.88608e33i | 0.0833824 | + | 0.0582742i | ||||
\(361\) | − | 1.88244e34i | − | 0.560241i | ||||||
\(362\) | 2.08440e34 | − | 2.34362e34i | 0.597606 | − | 0.671926i | ||||
\(363\) | 1.54942e34 | − | 1.54942e34i | 0.427986 | − | 0.427986i | ||||
\(364\) | −2.11358e34 | + | 2.67633e34i | −0.562536 | + | 0.712313i | ||||
\(365\) | −5.07461e33 | − | 5.07461e33i | −0.130151 | − | 0.130151i | ||||
\(366\) | −1.22619e33 | − | 2.09455e34i | −0.0303083 | − | 0.517721i | ||||
\(367\) | −8.52015e33 | −0.202981 | −0.101490 | − | 0.994837i | \(-0.532361\pi\) | ||||
−0.101490 | + | 0.994837i | \(0.532361\pi\) | |||||||
\(368\) | 1.70193e34 | + | 7.14312e34i | 0.390837 | + | 1.64037i | ||||
\(369\) | −2.56389e34 | −0.567602 | ||||||||
\(370\) | −2.36228e32 | − | 4.03521e33i | −0.00504207 | − | 0.0861277i | ||||
\(371\) | −1.60726e34 | − | 1.60726e34i | −0.330780 | − | 0.330780i | ||||
\(372\) | 1.70294e34 | + | 1.34486e34i | 0.337962 | + | 0.266900i | ||||
\(373\) | −2.27237e34 | + | 2.27237e34i | −0.434920 | + | 0.434920i | −0.890298 | − | 0.455378i | \(-0.849504\pi\) |
0.455378 | + | 0.890298i | \(0.349504\pi\) | |||||||
\(374\) | −2.82455e34 | + | 3.17582e34i | −0.521413 | + | 0.586258i | ||||
\(375\) | 4.35703e33i | 0.0775834i | ||||||||
\(376\) | 9.90481e34 | − | 1.75560e34i | 1.70141 | − | 0.301571i | ||||
\(377\) | 1.17185e35i | 1.94207i | ||||||||
\(378\) | 2.35686e34 | + | 2.09618e34i | 0.376873 | + | 0.335188i | ||||
\(379\) | 3.97346e34 | − | 3.97346e34i | 0.613111 | − | 0.613111i | −0.330644 | − | 0.943755i | \(-0.607266\pi\) |
0.943755 | + | 0.330644i | \(0.107266\pi\) | |||||||
\(380\) | 5.08587e33 | − | 5.97519e32i | 0.0757332 | − | 0.00889761i | ||||
\(381\) | −1.54602e34 | − | 1.54602e34i | −0.222191 | − | 0.222191i | ||||
\(382\) | 6.85174e34 | − | 4.01113e33i | 0.950485 | − | 0.0556431i | ||||
\(383\) | 7.64494e34 | 1.02374 | 0.511871 | − | 0.859062i | \(-0.328953\pi\) | ||||
0.511871 | + | 0.859062i | \(0.328953\pi\) | |||||||
\(384\) | −2.44327e34 | − | 9.64765e33i | −0.315864 | − | 0.124724i | ||||
\(385\) | 1.21094e34 | 0.151148 | ||||||||
\(386\) | −1.00160e35 | + | 5.86356e33i | −1.20717 | + | 0.0706697i | ||||
\(387\) | −2.06978e34 | − | 2.06978e34i | −0.240894 | − | 0.240894i | ||||
\(388\) | 1.54326e35 | − | 1.81312e34i | 1.73465 | − | 0.203797i | ||||
\(389\) | −6.16888e34 | + | 6.16888e34i | −0.669710 | + | 0.669710i | −0.957649 | − | 0.287939i | \(-0.907030\pi\) |
0.287939 | + | 0.957649i | \(0.407030\pi\) | |||||||
\(390\) | 3.20492e33 | + | 2.85043e33i | 0.0336081 | + | 0.0298908i | ||||
\(391\) | − | 7.82989e34i | − | 0.793176i | ||||||
\(392\) | −3.81317e34 | + | 6.75872e33i | −0.373185 | + | 0.0661459i | ||||
\(393\) | − | 8.81443e33i | − | 0.0833480i | ||||||
\(394\) | −3.47910e34 | + | 3.91178e34i | −0.317884 | + | 0.357417i | ||||
\(395\) | 9.53055e33 | − | 9.53055e33i | 0.0841506 | − | 0.0841506i | ||||
\(396\) | 1.35713e35 | + | 1.07177e35i | 1.15807 | + | 0.914565i | ||||
\(397\) | 1.99385e34 | + | 1.99385e34i | 0.164445 | + | 0.164445i | 0.784533 | − | 0.620088i | \(-0.212903\pi\) |
−0.620088 | + | 0.784533i | \(0.712903\pi\) | |||||||
\(398\) | 6.97672e33 | + | 1.19175e35i | 0.0556198 | + | 0.950088i | ||||
\(399\) | 2.30277e34 | 0.177466 | ||||||||
\(400\) | 3.06967e34 | + | 1.28837e35i | 0.228709 | + | 0.959907i | ||||
\(401\) | −2.90815e34 | −0.209492 | −0.104746 | − | 0.994499i | \(-0.533403\pi\) | ||||
−0.104746 | + | 0.994499i | \(0.533403\pi\) | |||||||
\(402\) | −5.37468e33 | − | 9.18093e34i | −0.0374370 | − | 0.639491i | ||||
\(403\) | −1.53332e35 | − | 1.53332e35i | −1.03280 | − | 1.03280i | ||||
\(404\) | 1.53874e34 | − | 1.94843e34i | 0.100234 | − | 0.126922i | ||||
\(405\) | −8.61230e33 | + | 8.61230e33i | −0.0542596 | + | 0.0542596i | ||||
\(406\) | 1.44904e35 | − | 1.62925e35i | 0.883036 | − | 0.992854i | ||||
\(407\) | − | 2.12303e35i | − | 1.25150i | ||||||
\(408\) | 2.29588e34 | + | 1.60454e34i | 0.130929 | + | 0.0915036i | ||||
\(409\) | 1.38603e35i | 0.764732i | 0.924011 | + | 0.382366i | \(0.124891\pi\) | ||||
−0.924011 | + | 0.382366i | \(0.875109\pi\) | |||||||
\(410\) | 1.03264e34 | + | 9.18420e33i | 0.0551272 | + | 0.0490297i | ||||
\(411\) | −6.03920e34 | + | 6.03920e34i | −0.311971 | + | 0.311971i | ||||
\(412\) | 1.50839e34 | + | 1.28388e35i | 0.0754049 | + | 0.641820i | ||||
\(413\) | −1.83155e35 | − | 1.83155e35i | −0.886123 | − | 0.886123i | ||||
\(414\) | −3.18037e35 | + | 1.86184e34i | −1.48927 | + | 0.0871843i | ||||
\(415\) | 7.05868e33 | 0.0319944 | ||||||||
\(416\) | 2.31241e35 | + | 1.24240e35i | 1.01462 | + | 0.545134i | ||||
\(417\) | −6.26542e34 | −0.266142 | ||||||||
\(418\) | 2.68501e35 | − | 1.57185e34i | 1.10425 | − | 0.0646446i | ||||
\(419\) | 2.02377e35 | + | 2.02377e35i | 0.805882 | + | 0.805882i | 0.984008 | − | 0.178125i | \(-0.0570033\pi\) |
−0.178125 | + | 0.984008i | \(0.557003\pi\) | |||||||
\(420\) | −9.31194e32 | − | 7.92599e33i | −0.00359066 | − | 0.0305624i | ||||
\(421\) | 1.02197e35 | − | 1.02197e35i | 0.381618 | − | 0.381618i | −0.490067 | − | 0.871685i | \(-0.663028\pi\) |
0.871685 | + | 0.490067i | \(0.163028\pi\) | |||||||
\(422\) | −1.74332e35 | − | 1.55049e35i | −0.630462 | − | 0.560728i | ||||
\(423\) | 4.36421e35i | 1.52866i | ||||||||
\(424\) | −1.00227e35 | + | 1.43411e35i | −0.340052 | + | 0.486568i | ||||
\(425\) | − | 1.41224e35i | − | 0.464148i | ||||||
\(426\) | 8.29831e33 | − | 9.33033e33i | 0.0264217 | − | 0.0297076i | ||||
\(427\) | 2.75856e35 | − | 2.75856e35i | 0.850953 | − | 0.850953i | ||||
\(428\) | 2.07297e35 | − | 2.62490e35i | 0.619586 | − | 0.784552i | ||||
\(429\) | 1.59294e35 | + | 1.59294e35i | 0.461345 | + | 0.461345i | ||||
\(430\) | 9.22062e32 | + | 1.57505e34i | 0.00258783 | + | 0.0442049i | ||||
\(431\) | −3.92304e35 | −1.06704 | −0.533518 | − | 0.845789i | \(-0.679130\pi\) | ||||
−0.533518 | + | 0.845789i | \(0.679130\pi\) | |||||||
\(432\) | 1.27213e35 | − | 2.06794e35i | 0.335352 | − | 0.545139i | ||||
\(433\) | −6.26470e35 | −1.60071 | −0.800357 | − | 0.599523i | \(-0.795357\pi\) | ||||
−0.800357 | + | 0.599523i | \(0.795357\pi\) | |||||||
\(434\) | 2.35795e34 | + | 4.02780e35i | 0.0584013 | + | 0.997601i | ||||
\(435\) | −1.93910e34 | − | 1.93910e34i | −0.0465580 | − | 0.0465580i | ||||
\(436\) | −1.52683e35 | − | 1.20579e35i | −0.355405 | − | 0.280674i | ||||
\(437\) | −3.50368e35 | + | 3.50368e35i | −0.790724 | + | 0.790724i | ||||
\(438\) | −1.65088e35 | + | 1.85619e35i | −0.361256 | + | 0.406183i | ||||
\(439\) | − | 8.59413e35i | − | 1.82361i | −0.410628 | − | 0.911803i | \(-0.634690\pi\) | ||
0.410628 | − | 0.911803i | \(-0.365310\pi\) | |||||||
\(440\) | −1.62679e34 | − | 9.17808e34i | −0.0334749 | − | 0.188860i | ||||
\(441\) | − | 1.68014e35i | − | 0.335293i | ||||||
\(442\) | −2.09152e35 | − | 1.86018e35i | −0.404820 | − | 0.360044i | ||||
\(443\) | −2.16005e35 | + | 2.16005e35i | −0.405521 | + | 0.405521i | −0.880173 | − | 0.474653i | \(-0.842574\pi\) |
0.474653 | + | 0.880173i | \(0.342574\pi\) | |||||||
\(444\) | −1.38959e35 | + | 1.63258e34i | −0.253056 | + | 0.0297306i | ||||
\(445\) | 3.23500e34 | + | 3.23500e34i | 0.0571498 | + | 0.0571498i | ||||
\(446\) | 1.85645e35 | − | 1.08680e34i | 0.318173 | − | 0.0186264i | ||||
\(447\) | 1.30858e35 | 0.217594 | ||||||||
\(448\) | −1.67870e35 | − | 4.58671e35i | −0.270845 | − | 0.740028i | ||||
\(449\) | 1.18330e36 | 1.85255 | 0.926277 | − | 0.376844i | \(-0.122991\pi\) | ||||
0.926277 | + | 0.376844i | \(0.122991\pi\) | |||||||
\(450\) | −5.73626e35 | + | 3.35811e34i | −0.871484 | + | 0.0510182i | ||||
\(451\) | 5.13252e35 | + | 5.13252e35i | 0.756741 | + | 0.756741i | ||||
\(452\) | −2.33464e35 | + | 2.74288e34i | −0.334080 | + | 0.0392498i | ||||
\(453\) | −6.63361e34 | + | 6.63361e34i | −0.0921349 | + | 0.0921349i | ||||
\(454\) | −7.99987e34 | − | 7.11502e34i | −0.107852 | − | 0.0959229i | ||||
\(455\) | 7.97499e34i | 0.104370i | ||||||||
\(456\) | −3.09356e34 | − | 1.74534e35i | −0.0393037 | − | 0.221745i | ||||
\(457\) | − | 1.24346e35i | − | 0.153378i | −0.997055 | − | 0.0766892i | \(-0.975565\pi\) | ||
0.997055 | − | 0.0766892i | \(-0.0244349\pi\) | |||||||
\(458\) | 2.32411e35 | − | 2.61314e35i | 0.278338 | − | 0.312953i | ||||
\(459\) | −1.83060e35 | + | 1.83060e35i | −0.212874 | + | 0.212874i | ||||
\(460\) | 1.34763e35 | + | 1.06426e35i | 0.152173 | + | 0.120176i | ||||
\(461\) | 2.19680e35 | + | 2.19680e35i | 0.240895 | + | 0.240895i | 0.817220 | − | 0.576325i | \(-0.195514\pi\) |
−0.576325 | + | 0.817220i | \(0.695514\pi\) | |||||||
\(462\) | −2.44963e34 | − | 4.18441e35i | −0.0260876 | − | 0.445623i | ||||
\(463\) | −9.14490e34 | −0.0945879 | −0.0472939 | − | 0.998881i | \(-0.515060\pi\) | ||||
−0.0472939 | + | 0.998881i | \(0.515060\pi\) | |||||||
\(464\) | −1.42952e36 | − | 8.79395e35i | −1.43614 | − | 0.883469i | ||||
\(465\) | 5.07445e34 | 0.0495192 | ||||||||
\(466\) | −4.26365e34 | − | 7.28309e35i | −0.0404177 | − | 0.690408i | ||||
\(467\) | −2.10427e35 | − | 2.10427e35i | −0.193786 | − | 0.193786i | 0.603544 | − | 0.797330i | \(-0.293755\pi\) |
−0.797330 | + | 0.603544i | \(0.793755\pi\) | |||||||
\(468\) | −7.05841e35 | + | 8.93774e35i | −0.631521 | + | 0.799666i | ||||
\(469\) | 1.20914e36 | − | 1.20914e36i | 1.05110 | − | 1.05110i | ||||
\(470\) | 1.56332e35 | − | 1.75774e35i | 0.132046 | − | 0.148468i | ||||
\(471\) | 4.20173e35i | 0.344862i | ||||||||
\(472\) | −1.14214e36 | + | 1.63424e36i | −0.910963 | + | 1.30346i | ||||
\(473\) | 8.28675e35i | 0.642331i | ||||||||
\(474\) | −3.48609e35 | − | 3.10050e35i | −0.262622 | − | 0.233573i | ||||
\(475\) | −6.31939e35 | + | 6.31939e35i | −0.462713 | + | 0.462713i | ||||
\(476\) | 6.07696e34 | + | 5.17249e35i | 0.0432506 | + | 0.368134i | ||||
\(477\) | −5.36753e35 | − | 5.36753e35i | −0.371344 | − | 0.371344i | ||||
\(478\) | 7.75289e35 | − | 4.53868e34i | 0.521419 | − | 0.0305248i | ||||
\(479\) | 5.84796e35 | 0.382362 | 0.191181 | − | 0.981555i | \(-0.438768\pi\) | ||||
0.191181 | + | 0.981555i | \(0.438768\pi\) | |||||||
\(480\) | −5.88225e34 | + | 1.77056e34i | −0.0373927 | + | 0.0112552i | ||||
\(481\) | 1.39818e36 | 0.864181 | ||||||||
\(482\) | 3.40336e35 | − | 1.99239e34i | 0.204537 | − | 0.0119740i | ||||
\(483\) | 5.46025e35 | + | 5.46025e35i | 0.319100 | + | 0.319100i | ||||
\(484\) | −3.65934e35 | − | 3.11470e36i | −0.207965 | − | 1.77012i | ||||
\(485\) | 2.56946e35 | − | 2.56946e35i | 0.142013 | − | 0.142013i | ||||
\(486\) | 1.20471e36 | + | 1.07146e36i | 0.647581 | + | 0.575953i | ||||
\(487\) | 2.40241e36i | 1.25605i | 0.778194 | + | 0.628024i | \(0.216136\pi\) | ||||
−0.778194 | + | 0.628024i | \(0.783864\pi\) | |||||||
\(488\) | −2.46138e36 | − | 1.72021e36i | −1.25173 | − | 0.874808i | ||||
\(489\) | 5.50199e35i | 0.272176i | ||||||||
\(490\) | −6.01848e34 | + | 6.76696e34i | −0.0289627 | + | 0.0325647i | ||||
\(491\) | 1.07313e36 | − | 1.07313e36i | 0.502403 | − | 0.502403i | −0.409781 | − | 0.912184i | \(-0.634395\pi\) |
0.912184 | + | 0.409781i | \(0.134395\pi\) | |||||||
\(492\) | 2.96471e35 | − | 3.75408e35i | 0.135037 | − | 0.170991i | ||||
\(493\) | 1.26545e36 | + | 1.26545e36i | 0.560805 | + | 0.560805i | ||||
\(494\) | 1.03519e35 | + | 1.76829e36i | 0.0446380 | + | 0.762499i | ||||
\(495\) | 4.04400e35 | 0.169684 | ||||||||
\(496\) | 3.02111e36 | − | 7.19814e35i | 1.23357 | − | 0.293912i | ||||
\(497\) | 2.32172e35 | 0.0922569 | ||||||||
\(498\) | −1.42791e34 | − | 2.43913e35i | −0.00552211 | − | 0.0943277i | ||||
\(499\) | 2.45324e36 | + | 2.45324e36i | 0.923386 | + | 0.923386i | 0.997267 | − | 0.0738807i | \(-0.0235384\pi\) |
−0.0738807 | + | 0.997267i | \(0.523538\pi\) | |||||||
\(500\) | 4.89385e35 | + | 3.86483e35i | 0.179290 | + | 0.141591i | ||||
\(501\) | −2.80304e35 | + | 2.80304e35i | −0.0999585 | + | 0.0999585i | ||||
\(502\) | −1.06284e36 | + | 1.19502e36i | −0.368952 | + | 0.414836i | ||||
\(503\) | 1.43604e36i | 0.485289i | 0.970115 | + | 0.242644i | \(0.0780148\pi\) | ||||
−0.970115 | + | 0.242644i | \(0.921985\pi\) | |||||||
\(504\) | 2.08653e36 | − | 3.69830e35i | 0.686454 | − | 0.121672i | ||||
\(505\) | − | 5.80598e34i | − | 0.0185970i | ||||||
\(506\) | 6.73932e36 | + | 5.99390e36i | 2.10177 | + | 1.86929i | ||||
\(507\) | −2.58293e35 | + | 2.58293e35i | −0.0784341 | + | 0.0784341i | ||||
\(508\) | −3.10786e36 | + | 3.65131e35i | −0.918970 | + | 0.107966i | ||||
\(509\) | −1.32222e36 | − | 1.32222e36i | −0.380726 | − | 0.380726i | 0.490637 | − | 0.871364i | \(-0.336764\pi\) |
−0.871364 | + | 0.490637i | \(0.836764\pi\) | |||||||
\(510\) | 6.53900e34 | − | 3.82804e33i | 0.0183364 | − | 0.00107344i | ||||
\(511\) | −4.61887e36 | −1.26140 | ||||||||
\(512\) | −3.25089e36 | + | 1.88852e36i | −0.864684 | + | 0.502316i | ||||
\(513\) | 1.63829e36 | 0.424431 | ||||||||
\(514\) | 8.15699e35 | − | 4.77525e34i | 0.205839 | − | 0.0120502i | ||||
\(515\) | 2.13761e35 | + | 2.13761e35i | 0.0525449 | + | 0.0525449i | ||||
\(516\) | 5.42394e35 | − | 6.37238e34i | 0.129881 | − | 0.0152592i | ||||
\(517\) | 8.73648e36 | − | 8.73648e36i | 2.03805 | − | 2.03805i | ||||
\(518\) | −1.94391e36 | − | 1.72890e36i | −0.441800 | − | 0.392933i | ||||
\(519\) | 2.72402e36i | 0.603186i | ||||||||
\(520\) | 6.04448e35 | − | 1.07137e35i | 0.130411 | − | 0.0231149i | ||||
\(521\) | − | 7.08770e36i | − | 1.49003i | −0.667046 | − | 0.745017i | \(-0.732442\pi\) | ||
0.667046 | − | 0.745017i | \(-0.267558\pi\) | |||||||
\(522\) | 4.83914e36 | − | 5.44095e36i | 0.991326 | − | 1.11461i | ||||
\(523\) | −4.86887e36 | + | 4.86887e36i | −0.971976 | + | 0.971976i | −0.999618 | − | 0.0276418i | \(-0.991200\pi\) |
0.0276418 | + | 0.999618i | \(0.491200\pi\) | |||||||
\(524\) | −9.90043e35 | − | 7.81868e35i | −0.192611 | − | 0.152111i | ||||
\(525\) | 9.84836e35 | + | 9.84836e35i | 0.186730 | + | 0.186730i | ||||
\(526\) | 3.09294e35 | + | 5.28330e36i | 0.0571562 | + | 0.976333i | ||||
\(527\) | −3.31158e36 | −0.596474 | ||||||||
\(528\) | −3.13858e36 | + | 7.47802e35i | −0.551031 | + | 0.131289i | ||||
\(529\) | −1.07724e37 | −1.84357 | ||||||||
\(530\) | 2.39117e34 | + | 4.08456e35i | 0.00398921 | + | 0.0681430i | ||||
\(531\) | −6.11657e36 | − | 6.11657e36i | −0.994791 | − | 0.994791i | ||||
\(532\) | 2.04263e36 | − | 2.58649e36i | 0.323879 | − | 0.410113i | ||||
\(533\) | −3.38016e36 | + | 3.38016e36i | −0.522541 | + | 0.522541i | ||||
\(534\) | 1.05242e36 | − | 1.18330e36i | 0.158628 | − | 0.178356i | ||||
\(535\) | − | 7.82174e35i | − | 0.114955i | ||||||
\(536\) | −1.07888e37 | − | 7.54008e36i | −1.54614 | − | 1.08057i | ||||
\(537\) | 3.03610e36i | 0.424290i | ||||||||
\(538\) | −7.89415e36 | − | 7.02100e36i | −1.07583 | − | 0.956837i | ||||
\(539\) | −3.36338e36 | + | 3.36338e36i | −0.447021 | + | 0.447021i | ||||
\(540\) | −6.62493e34 | − | 5.63890e35i | −0.00858748 | − | 0.0730935i | ||||
\(541\) | −9.25234e36 | − | 9.25234e36i | −1.16974 | − | 1.16974i | −0.982271 | − | 0.187467i | \(-0.939972\pi\) |
−0.187467 | − | 0.982271i | \(-0.560028\pi\) | |||||||
\(542\) | 2.54540e36 | − | 1.49012e35i | 0.313882 | − | 0.0183752i | ||||
\(543\) | −2.53883e36 | −0.305376 | ||||||||
\(544\) | 3.83874e36 | − | 1.15547e36i | 0.450406 | − | 0.135573i | ||||
\(545\) | −4.54968e35 | −0.0520749 | ||||||||
\(546\) | 2.75576e36 | − | 1.61327e35i | 0.307710 | − | 0.0180139i | ||||
\(547\) | 1.78743e36 | + | 1.78743e36i | 0.194715 | + | 0.194715i | 0.797730 | − | 0.603015i | \(-0.206034\pi\) |
−0.603015 | + | 0.797730i | \(0.706034\pi\) | |||||||
\(548\) | 1.42631e36 | + | 1.21402e37i | 0.151592 | + | 1.29030i | ||||
\(549\) | 9.21234e36 | − | 9.21234e36i | 0.955308 | − | 0.955308i | ||||
\(550\) | 1.21554e37 | + | 1.08109e37i | 1.22990 | + | 1.09387i | ||||
\(551\) | − | 1.13251e37i | − | 1.11814i | ||||||
\(552\) | 3.40495e36 | − | 4.87202e36i | 0.328045 | − | 0.469388i | ||||
\(553\) | − | 8.67463e36i | − | 0.815571i | ||||||
\(554\) | 3.18245e35 | − | 3.57823e35i | 0.0291998 | − | 0.0328312i | ||||
\(555\) | −2.31361e35 | + | 2.31361e35i | −0.0207174 | + | 0.0207174i | ||||
\(556\) | −5.55762e36 | + | 7.03736e36i | −0.485712 | + | 0.615035i | ||||
\(557\) | −3.36687e36 | − | 3.36687e36i | −0.287198 | − | 0.287198i | 0.548773 | − | 0.835971i | \(-0.315095\pi\) |
−0.835971 | + | 0.548773i | \(0.815095\pi\) | |||||||
\(558\) | 7.87448e35 | + | 1.34511e37i | 0.0655632 | + | 1.11994i | ||||
\(559\) | −5.45747e36 | −0.443539 | ||||||||
\(560\) | −9.72852e35 | − | 5.98468e35i | −0.0771807 | − | 0.0474791i | ||||
\(561\) | 3.44034e36 | 0.266442 | ||||||||
\(562\) | 7.46408e35 | + | 1.27500e37i | 0.0564334 | + | 0.963985i | ||||
\(563\) | 9.47911e36 | + | 9.47911e36i | 0.699688 | + | 0.699688i | 0.964343 | − | 0.264655i | \(-0.0852582\pi\) |
−0.264655 | + | 0.964343i | \(0.585258\pi\) | |||||||
\(564\) | −6.39012e36 | − | 5.04648e36i | −0.460512 | − | 0.363681i | ||||
\(565\) | −3.88707e35 | + | 3.88707e35i | −0.0273507 | + | 0.0273507i | ||||
\(566\) | 3.40470e36 | − | 3.82812e36i | 0.233914 | − | 0.263005i | ||||
\(567\) | 7.83884e36i | 0.525873i | ||||||||
\(568\) | −3.11902e35 | − | 1.75970e36i | −0.0204322 | − | 0.115275i | ||||
\(569\) | 1.53048e37i | 0.979065i | 0.871985 | + | 0.489533i | \(0.162833\pi\) | ||||
−0.871985 | + | 0.489533i | \(0.837167\pi\) | |||||||
\(570\) | −3.09733e35 | − | 2.75474e35i | −0.0193498 | − | 0.0172096i | ||||
\(571\) | 9.14289e36 | − | 9.14289e36i | 0.557822 | − | 0.557822i | −0.370865 | − | 0.928687i | \(-0.620939\pi\) |
0.928687 | + | 0.370865i | \(0.120939\pi\) | |||||||
\(572\) | 3.20218e37 | − | 3.76212e36i | 1.90809 | − | 0.224175i | ||||
\(573\) | −3.92848e36 | − | 3.92848e36i | −0.228632 | − | 0.228632i | ||||
\(574\) | 8.87919e36 | − | 5.19803e35i | 0.504734 | − | 0.0295480i | ||||
\(575\) | −2.99687e37 | −1.66399 | ||||||||
\(576\) | −5.60611e36 | − | 1.53176e37i | −0.304059 | − | 0.830780i | ||||
\(577\) | −7.27440e35 | −0.0385410 | −0.0192705 | − | 0.999814i | \(-0.506134\pi\) | ||||
−0.0192705 | + | 0.999814i | \(0.506134\pi\) | |||||||
\(578\) | 1.50205e37 | − | 8.79325e35i | 0.777424 | − | 0.0455117i | ||||
\(579\) | 5.74274e36 | + | 5.74274e36i | 0.290375 | + | 0.290375i | ||||
\(580\) | −3.89805e36 | + | 4.57966e35i | −0.192561 | + | 0.0226233i | ||||
\(581\) | 3.21238e36 | − | 3.21238e36i | 0.155042 | − | 0.155042i | ||||
\(582\) | −9.39856e36 | − | 8.35901e36i | −0.443202 | − | 0.394180i | ||||
\(583\) | 2.14900e37i | 0.990171i | ||||||||
\(584\) | 6.20503e36 | + | 3.50078e37i | 0.279364 | + | 1.57613i | ||||
\(585\) | 2.66329e36i | 0.117169i | ||||||||
\(586\) | 1.29251e37 | − | 1.45325e37i | 0.555669 | − | 0.624774i | ||||
\(587\) | −3.74258e36 | + | 3.74258e36i | −0.157238 | + | 0.157238i | −0.781341 | − | 0.624104i | \(-0.785464\pi\) |
0.624104 | + | 0.781341i | \(0.285464\pi\) | |||||||
\(588\) | 2.46008e36 | + | 1.94280e36i | 0.101008 | + | 0.0797690i | ||||
\(589\) | 1.48185e37 | + | 1.48185e37i | 0.594630 | + | 0.594630i | ||||
\(590\) | 2.72486e35 | + | 4.65456e36i | 0.0106867 | + | 0.182548i | ||||
\(591\) | 4.23760e36 | 0.162438 | ||||||||
\(592\) | −1.04924e37 | + | 1.70561e37i | −0.393125 | + | 0.639054i | ||||
\(593\) | 3.94354e36 | 0.144427 | 0.0722133 | − | 0.997389i | \(-0.476994\pi\) | ||||
0.0722133 | + | 0.997389i | \(0.476994\pi\) | |||||||
\(594\) | −1.74278e36 | − | 2.97698e37i | −0.0623914 | − | 1.06576i | ||||
\(595\) | 8.61197e35 | + | 8.61197e35i | 0.0301386 | + | 0.0301386i | ||||
\(596\) | 1.16075e37 | − | 1.46980e37i | 0.397113 | − | 0.502845i | ||||
\(597\) | 6.83296e36 | − | 6.83296e36i | 0.228536 | − | 0.228536i | ||||
\(598\) | −3.94745e37 | + | 4.43837e37i | −1.29077 | + | 1.45130i | ||||
\(599\) | − | 5.27054e37i | − | 1.68497i | −0.538718 | − | 0.842486i | \(-0.681091\pi\) | ||
0.538718 | − | 0.842486i | \(-0.318909\pi\) | |||||||
\(600\) | 6.14133e36 | − | 8.78740e36i | 0.191964 | − | 0.274675i | ||||
\(601\) | 4.15084e37i | 1.26862i | 0.773080 | + | 0.634308i | \(0.218715\pi\) | ||||
−0.773080 | + | 0.634308i | \(0.781285\pi\) | |||||||
\(602\) | 7.58761e36 | + | 6.74836e36i | 0.226753 | + | 0.201672i | ||||
\(603\) | 4.03800e37 | − | 4.03800e37i | 1.18000 | − | 1.18000i | ||||
\(604\) | 1.56669e36 | + | 1.33351e37i | 0.0447698 | + | 0.381065i | ||||
\(605\) | −5.18584e36 | − | 5.18584e36i | −0.144918 | − | 0.144918i | ||||
\(606\) | −2.00626e36 | + | 1.17450e35i | −0.0548286 | + | 0.00320976i | ||||
\(607\) | −2.81996e36 | −0.0753694 | −0.0376847 | − | 0.999290i | \(-0.511998\pi\) | ||||
−0.0376847 | + | 0.999290i | \(0.511998\pi\) | |||||||
\(608\) | −2.23478e37 | − | 1.20070e37i | −0.584167 | − | 0.313860i | ||||
\(609\) | −1.76495e37 | −0.451231 | ||||||||
\(610\) | −7.01037e36 | + | 4.10399e35i | −0.175303 | + | 0.0102625i | ||||
\(611\) | 5.75365e37 | + | 5.75365e37i | 1.40730 | + | 1.40730i | ||||
\(612\) | 2.02943e36 | + | 1.72738e37i | 0.0485546 | + | 0.413279i | ||||
\(613\) | 1.12567e37 | − | 1.12567e37i | 0.263447 | − | 0.263447i | −0.563006 | − | 0.826453i | \(-0.690355\pi\) |
0.826453 | + | 0.563006i | \(0.190355\pi\) | |||||||
\(614\) | −1.84921e37 | − | 1.64468e37i | −0.423364 | − | 0.376537i | ||||
\(615\) | − | 1.11865e36i | − | 0.0250542i | ||||||
\(616\) | −4.91725e37 | − | 3.43656e37i | −1.07741 | − | 0.752982i | ||||
\(617\) | 3.61524e37i | 0.774975i | 0.921875 | + | 0.387488i | \(0.126657\pi\) | ||||
−0.921875 | + | 0.387488i | \(0.873343\pi\) | |||||||
\(618\) | 6.95410e36 | − | 7.81894e36i | 0.145847 | − | 0.163985i | ||||
\(619\) | −2.26432e37 | + | 2.26432e37i | −0.464636 | + | 0.464636i | −0.900172 | − | 0.435535i | \(-0.856559\pi\) |
0.435535 | + | 0.900172i | \(0.356559\pi\) | |||||||
\(620\) | 4.50119e36 | − | 5.69965e36i | 0.0903733 | − | 0.114435i | ||||
\(621\) | 3.88467e37 | + | 3.88467e37i | 0.763163 | + | 0.763163i | ||||
\(622\) | −2.46366e36 | − | 4.20839e37i | −0.0473599 | − | 0.808994i | ||||
\(623\) | 2.94447e37 | 0.553884 | ||||||||
\(624\) | −4.92486e36 | − | 2.06700e37i | −0.0906571 | − | 0.380495i | ||||
\(625\) | −5.33189e37 | −0.960508 | ||||||||
\(626\) | −4.15959e36 | − | 7.10535e37i | −0.0733327 | − | 1.25266i | ||||
\(627\) | −1.53946e37 | − | 1.53946e37i | −0.265618 | − | 0.265618i | ||||
\(628\) | 4.71941e37 | + | 3.72707e37i | 0.796953 | + | 0.629379i | ||||
\(629\) | 1.50986e37 | − | 1.50986e37i | 0.249547 | − | 0.249547i | ||||
\(630\) | 3.29325e36 | − | 3.70281e36i | 0.0532755 | − | 0.0599011i | ||||
\(631\) | − | 6.60565e37i | − | 1.04597i | −0.852342 | − | 0.522985i | \(-0.824818\pi\) | ||
0.852342 | − | 0.522985i | \(-0.175182\pi\) | |||||||
\(632\) | −6.57476e37 | + | 1.16536e37i | −1.01906 | + | 0.180625i | ||||
\(633\) | 1.88853e37i | 0.286532i | ||||||||
\(634\) | −3.34722e37 | − | 2.97699e37i | −0.497141 | − | 0.442153i | ||||
\(635\) | −5.17445e36 | + | 5.17445e36i | −0.0752348 | + | 0.0752348i | ||||
\(636\) | 1.40659e37 | − | 1.65254e36i | 0.200214 | − | 0.0235224i | ||||
\(637\) | −2.21505e37 | − | 2.21505e37i | −0.308674 | − | 0.308674i | ||||
\(638\) | −2.05792e38 | + | 1.20474e37i | −2.80769 | + | 0.164367i | ||||
\(639\) | 7.75351e36 | 0.103571 | ||||||||
\(640\) | −3.22903e36 | + | 8.17752e36i | −0.0422321 | + | 0.106953i | ||||
\(641\) | 1.17475e38 | 1.50439 | 0.752196 | − | 0.658940i | \(-0.228995\pi\) | ||||
0.752196 | + | 0.658940i | \(0.228995\pi\) | |||||||
\(642\) | −2.70281e37 | + | 1.58227e36i | −0.338916 | + | 0.0198408i | ||||
\(643\) | 1.43703e34 | + | 1.43703e34i | 0.000176448 | + | 0.000176448i | 0.707195 | − | 0.707019i | \(-0.249960\pi\) |
−0.707019 | + | 0.707195i | \(0.749960\pi\) | |||||||
\(644\) | 1.09764e38 | − | 1.28958e37i | 1.31978 | − | 0.155056i | ||||
\(645\) | 9.03062e35 | − | 9.03062e35i | 0.0106331 | − | 0.0106331i | ||||
\(646\) | 2.02131e37 | + | 1.79774e37i | 0.233074 | + | 0.207294i | ||||
\(647\) | − | 5.95952e37i | − | 0.672982i | −0.941687 | − | 0.336491i | \(-0.890760\pi\) | ||
0.941687 | − | 0.336491i | \(-0.109240\pi\) | |||||||
\(648\) | 5.94129e37 | − | 1.05308e37i | 0.657080 | − | 0.116465i | ||||
\(649\) | 2.44889e38i | 2.65256i | ||||||||
\(650\) | −7.11980e37 | + | 8.00524e37i | −0.755331 | + | 0.849267i | ||||
\(651\) | 2.30936e37 | − | 2.30936e37i | 0.239965 | − | 0.239965i | ||||
\(652\) | 6.17988e37 | + | 4.88044e37i | 0.628981 | + | 0.496726i | ||||
\(653\) | −9.39383e37 | − | 9.39383e37i | −0.936515 | − | 0.936515i | 0.0615870 | − | 0.998102i | \(-0.480384\pi\) |
−0.998102 | + | 0.0615870i | \(0.980384\pi\) | |||||||
\(654\) | 9.20362e35 | + | 1.57215e37i | 0.00898792 | + | 0.153530i | ||||
\(655\) | −2.95015e36 | −0.0282220 | ||||||||
\(656\) | −1.58681e37 | − | 6.65997e37i | −0.148704 | − | 0.624123i | ||||
\(657\) | −1.54250e38 | −1.41609 | ||||||||
\(658\) | −8.84799e36 | − | 1.51140e38i | −0.0795784 | − | 1.35934i | ||||
\(659\) | 1.46058e38 | + | 1.46058e38i | 1.28698 | + | 1.28698i | 0.936610 | + | 0.350374i | \(0.113945\pi\) |
0.350374 | + | 0.936610i | \(0.386055\pi\) | |||||||
\(660\) | −4.67621e36 | + | 5.92127e36i | −0.0403693 | + | 0.0511178i | ||||
\(661\) | 5.37834e37 | − | 5.37834e37i | 0.454914 | − | 0.454914i | −0.442068 | − | 0.896982i | \(-0.645755\pi\) |
0.896982 | + | 0.442068i | \(0.145755\pi\) | |||||||
\(662\) | −2.31962e37 | + | 2.60810e37i | −0.192236 | + | 0.216143i | ||||
\(663\) | 2.26573e37i | 0.183982i | ||||||||
\(664\) | −2.86631e37 | − | 2.00320e37i | −0.228063 | − | 0.159388i | ||||
\(665\) | − | 7.70727e36i | − | 0.0600909i | ||||||
\(666\) | −6.49180e37 | − | 5.77376e37i | −0.495979 | − | 0.441120i | ||||
\(667\) | 2.68538e38 | − | 2.68538e38i | 2.01051 | − | 2.01051i | ||||
\(668\) | 6.62008e36 | + | 5.63477e37i | 0.0485714 | + | 0.413423i | ||||
\(669\) | −1.06441e37 | − | 1.06441e37i | −0.0765342 | − | 0.0765342i | ||||
\(670\) | −3.07282e37 | + | 1.79888e36i | −0.216534 | + | 0.0126763i | ||||
\(671\) | −3.68834e38 | −2.54728 | ||||||||
\(672\) | −1.87121e37 | + | 3.48276e37i | −0.126659 | + | 0.235743i | ||||
\(673\) | −1.03533e38 | −0.686871 | −0.343435 | − | 0.939176i | \(-0.611591\pi\) | ||||
−0.343435 | + | 0.939176i | \(0.611591\pi\) | |||||||
\(674\) | 3.60698e36 | − | 2.11159e35i | 0.0234550 | − | 0.00137310i | ||||
\(675\) | 7.00656e37 | + | 7.00656e37i | 0.446585 | + | 0.446585i | ||||
\(676\) | 6.10023e36 | + | 5.19230e37i | 0.0381124 | + | 0.324399i | ||||
\(677\) | −1.60846e38 | + | 1.60846e38i | −0.985063 | + | 0.985063i | −0.999890 | − | 0.0148267i | \(-0.995280\pi\) |
0.0148267 | + | 0.999890i | \(0.495280\pi\) | |||||||
\(678\) | 1.42181e37 | + | 1.26455e37i | 0.0853574 | + | 0.0759162i | ||||
\(679\) | − | 2.33870e38i | − | 1.37636i | ||||||
\(680\) | 5.37033e36 | − | 7.68420e36i | 0.0309835 | − | 0.0443331i | ||||
\(681\) | 8.66620e36i | 0.0490165i | ||||||||
\(682\) | 2.53506e38 | − | 2.85033e38i | 1.40572 | − | 1.58054i | ||||
\(683\) | −1.16442e37 | + | 1.16442e37i | −0.0633036 | + | 0.0633036i | −0.738050 | − | 0.674746i | \(-0.764253\pi\) |
0.674746 | + | 0.738050i | \(0.264253\pi\) | |||||||
\(684\) | 6.82147e37 | − | 8.63770e37i | 0.363597 | − | 0.460406i | ||||
\(685\) | 2.02129e37 | + | 2.02129e37i | 0.105635 | + | 0.105635i | ||||
\(686\) | 1.23939e37 | + | 2.11711e38i | 0.0635087 | + | 1.08484i | ||||
\(687\) | −2.83080e37 | −0.142230 | ||||||||
\(688\) | 4.09546e37 | − | 6.65746e37i | 0.201771 | − | 0.327993i | ||||
\(689\) | −1.41528e38 | −0.683728 | ||||||||
\(690\) | −8.12339e35 | − | 1.38762e37i | −0.00384835 | − | 0.0657369i | ||||
\(691\) | 3.97328e37 | + | 3.97328e37i | 0.184585 | + | 0.184585i | 0.793350 | − | 0.608766i | \(-0.208335\pi\) |
−0.608766 | + | 0.793350i | \(0.708335\pi\) | |||||||
\(692\) | 3.05964e38 | + | 2.41629e38i | 1.39392 | + | 1.10082i | ||||
\(693\) | 1.84041e38 | − | 1.84041e38i | 0.822272 | − | 0.822272i | ||||
\(694\) | −2.15432e38 | + | 2.42224e38i | −0.943967 | + | 1.06136i | ||||
\(695\) | 2.09701e37i | 0.0901167i | ||||||||
\(696\) | 2.37105e37 | + | 1.33771e38i | 0.0999345 | + | 0.563815i | ||||
\(697\) | 7.30029e37i | 0.301785i | ||||||||
\(698\) | −1.68221e38 | − | 1.49614e38i | −0.682074 | − | 0.606631i | ||||
\(699\) | −4.17580e37 | + | 4.17580e37i | −0.166072 | + | 0.166072i | ||||
\(700\) | 1.97975e38 | − | 2.32594e37i | 0.772303 | − | 0.0907349i | ||||
\(701\) | 1.32355e38 | + | 1.32355e38i | 0.506462 | + | 0.506462i | 0.913439 | − | 0.406977i | \(-0.133417\pi\) |
−0.406977 | + | 0.913439i | \(0.633417\pi\) | |||||||
\(702\) | 1.96057e38 | − | 1.14775e37i | 0.735922 | − | 0.0430822i | ||||
\(703\) | −1.35125e38 | −0.497551 | ||||||||
\(704\) | −1.94409e38 | + | 4.18860e38i | −0.702238 | + | 1.51300i | ||||
\(705\) | −1.90414e37 | −0.0674756 | ||||||||
\(706\) | 3.87353e38 | − | 2.26763e37i | 1.34662 | − | 0.0788333i | ||||
\(707\) | −2.64228e37 | − | 2.64228e37i | −0.0901190 | − | 0.0901190i | ||||
\(708\) | 1.60287e38 | − | 1.88316e37i | 0.536353 | − | 0.0630140i | ||||
\(709\) | 1.37626e38 | − | 1.37626e38i | 0.451831 | − | 0.451831i | −0.444131 | − | 0.895962i | \(-0.646488\pi\) |
0.895962 | + | 0.444131i | \(0.146488\pi\) | |||||||
\(710\) | −3.12282e36 | − | 2.77741e36i | −0.0100591 | − | 0.00894648i | ||||
\(711\) | − | 2.89694e38i | − | 0.915587i | ||||||
\(712\) | −3.95563e37 | − | 2.23170e38i | −0.122669 | − | 0.692081i | ||||
\(713\) | 7.02741e38i | 2.13839i | ||||||||
\(714\) | 2.80166e37 | − | 3.15008e37i | 0.0836545 | − | 0.0940581i | ||||
\(715\) | 5.33150e37 | − | 5.33150e37i | 0.156213 | − | 0.156213i | ||||
\(716\) | 3.41017e38 | + | 2.69312e38i | 0.980505 | + | 0.774336i | ||||
\(717\) | −4.44516e37 | − | 4.44516e37i | −0.125423 | − | 0.125423i | ||||
\(718\) | 1.85454e37 | + | 3.16789e38i | 0.0513518 | + | 0.877182i | ||||
\(719\) | −1.32493e38 | −0.360043 | −0.180022 | − | 0.983663i | \(-0.557617\pi\) | ||||
−0.180022 | + | 0.983663i | \(0.557617\pi\) | |||||||
\(720\) | −3.24889e37 | − | 1.99861e37i | −0.0866456 | − | 0.0533016i | ||||
\(721\) | 1.94563e38 | 0.509255 | ||||||||
\(722\) | 1.27453e37 | + | 2.17713e38i | 0.0327414 | + | 0.559283i | ||||
\(723\) | −1.95133e37 | − | 1.95133e37i | −0.0491999 | − | 0.0491999i | ||||
\(724\) | −2.25202e38 | + | 2.85163e38i | −0.557316 | + | 0.705703i | ||||
\(725\) | 4.84348e38 | − | 4.84348e38i | 1.17651 | − | 1.17651i | ||||
\(726\) | −1.68706e38 | + | 1.89687e38i | −0.402242 | + | 0.452266i | ||||
\(727\) | − | 3.56179e38i | − | 0.833592i | −0.909000 | − | 0.416796i | \(-0.863153\pi\) | ||
0.909000 | − | 0.416796i | \(-0.136847\pi\) | |||||||
\(728\) | 2.26324e38 | − | 3.23839e38i | 0.519945 | − | 0.743971i | ||||
\(729\) | 1.65403e38i | 0.373010i | ||||||||
\(730\) | 6.21259e37 | + | 5.52543e37i | 0.137535 | + | 0.122323i | ||||
\(731\) | −5.89337e37 | + | 5.89337e37i | −0.128079 | + | 0.128079i | ||||
\(732\) | 2.83628e37 | + | 2.41414e38i | 0.0605130 | + | 0.515065i | ||||
\(733\) | −5.15135e38 | − | 5.15135e38i | −1.07899 | − | 1.07899i | −0.996600 | − | 0.0823891i | \(-0.973745\pi\) |
−0.0823891 | − | 0.996600i | \(-0.526255\pi\) | |||||||
\(734\) | 9.85392e37 | − | 5.76866e36i | 0.202634 | − | 0.0118626i | ||||
\(735\) | 7.33060e36 | 0.0148000 | ||||||||
\(736\) | −2.45199e38 | − | 8.14610e38i | −0.486035 | − | 1.61473i | ||||
\(737\) | −1.61669e39 | −3.14641 | ||||||||
\(738\) | 2.96525e38 | − | 1.73591e37i | 0.566631 | − | 0.0331716i | ||||
\(739\) | 5.08337e38 | + | 5.08337e38i | 0.953789 | + | 0.953789i | 0.998978 | − | 0.0451898i | \(-0.0143892\pi\) |
−0.0451898 | + | 0.998978i | \(0.514389\pi\) | |||||||
\(740\) | 5.46417e36 | + | 4.65090e37i | 0.0100669 | + | 0.0856858i | ||||
\(741\) | 1.01386e38 | − | 1.01386e38i | 0.183413 | − | 0.183413i | ||||
\(742\) | 1.96769e38 | + | 1.75005e38i |