Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [301,2,Mod(9,301)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(301, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("301.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 301 = 7 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 301.ba (of order \(21\), degree \(12\), 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: | \(2.40349710084\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 100.7 | ||
Character | \(\chi\) | \(=\) | 301.100 |
Dual form | 301.2.ba.a.298.7 |
$q$-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 \(\left(\mathbb{Z}/301\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(218\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{10}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.120982 | + | 1.61440i | −0.0855474 | + | 1.14155i | 0.774925 | + | 0.632053i | \(0.217788\pi\) |
−0.860472 | + | 0.509497i | \(0.829831\pi\) | |||||||
\(3\) | 2.37853 | − | 1.62165i | 1.37324 | − | 0.936262i | 0.373281 | − | 0.927718i | \(-0.378233\pi\) |
0.999964 | − | 0.00854362i | \(-0.00271955\pi\) | |||||||
\(4\) | −0.613975 | − | 0.0925419i | −0.306988 | − | 0.0462709i | ||||
\(5\) | −0.275443 | + | 1.20680i | −0.123182 | + | 0.539695i | 0.875248 | + | 0.483675i | \(0.160698\pi\) |
−0.998430 | + | 0.0560203i | \(0.982159\pi\) | |||||||
\(6\) | 2.33023 | + | 4.03608i | 0.951313 | + | 1.64772i | ||||
\(7\) | 0.957332 | + | 2.46648i | 0.361838 | + | 0.932241i | ||||
\(8\) | −0.496809 | + | 2.17666i | −0.175649 | + | 0.769566i | ||||
\(9\) | 1.93162 | − | 4.92168i | 0.643872 | − | 1.64056i | ||||
\(10\) | −1.91492 | − | 0.590675i | −0.605551 | − | 0.186788i | ||||
\(11\) | 0.490967 | − | 1.25096i | 0.148032 | − | 0.377180i | −0.837554 | − | 0.546355i | \(-0.816015\pi\) |
0.985586 | + | 0.169175i | \(0.0541103\pi\) | |||||||
\(12\) | −1.61043 | + | 0.775542i | −0.464891 | + | 0.223880i | ||||
\(13\) | −4.61397 | − | 4.28114i | −1.27969 | − | 1.18737i | −0.971762 | − | 0.235963i | \(-0.924176\pi\) |
−0.307923 | − | 0.951411i | \(-0.599634\pi\) | |||||||
\(14\) | −4.09769 | + | 1.24711i | −1.09515 | + | 0.333305i | ||||
\(15\) | 1.30185 | + | 3.31707i | 0.336137 | + | 0.856464i | ||||
\(16\) | −4.64054 | − | 1.43142i | −1.16013 | − | 0.357854i | ||||
\(17\) | 0.873731 | + | 3.82807i | 0.211911 | + | 0.928442i | 0.963267 | + | 0.268545i | \(0.0865429\pi\) |
−0.751356 | + | 0.659897i | \(0.770600\pi\) | |||||||
\(18\) | 7.71184 | + | 3.71383i | 1.81770 | + | 0.875358i | ||||
\(19\) | 2.49465 | − | 3.12819i | 0.572312 | − | 0.717657i | −0.408468 | − | 0.912773i | \(-0.633937\pi\) |
0.980780 | + | 0.195116i | \(0.0625083\pi\) | |||||||
\(20\) | 0.280794 | − | 0.715452i | 0.0627875 | − | 0.159980i | ||||
\(21\) | 6.27682 | + | 4.31413i | 1.36971 | + | 0.941420i | ||||
\(22\) | 1.96015 | + | 0.943960i | 0.417906 | + | 0.201253i | ||||
\(23\) | −3.53030 | − | 4.42685i | −0.736118 | − | 0.923063i | 0.263011 | − | 0.964793i | \(-0.415284\pi\) |
−0.999129 | + | 0.0417303i | \(0.986713\pi\) | |||||||
\(24\) | 2.34812 | + | 5.98291i | 0.479308 | + | 1.22126i | ||||
\(25\) | 3.12436 | + | 1.50461i | 0.624872 | + | 0.300922i | ||||
\(26\) | 7.46966 | − | 6.93083i | 1.46492 | − | 1.35925i | ||||
\(27\) | −1.46511 | − | 6.41906i | −0.281960 | − | 1.23535i | ||||
\(28\) | −0.359526 | − | 1.60295i | −0.0679440 | − | 0.302929i | ||||
\(29\) | −0.398083 | + | 5.31205i | −0.0739222 | + | 0.986423i | 0.829732 | + | 0.558161i | \(0.188493\pi\) |
−0.903655 | + | 0.428262i | \(0.859126\pi\) | |||||||
\(30\) | −5.51257 | + | 1.70040i | −1.00645 | + | 0.310449i | ||||
\(31\) | 0.432832 | − | 5.77574i | 0.0777389 | − | 1.03735i | −0.812829 | − | 0.582503i | \(-0.802073\pi\) |
0.890568 | − | 0.454851i | \(-0.150308\pi\) | |||||||
\(32\) | 1.24095 | − | 3.16188i | 0.219370 | − | 0.558947i | ||||
\(33\) | −0.860851 | − | 3.77163i | −0.149855 | − | 0.656557i | ||||
\(34\) | −6.28572 | + | 0.947420i | −1.07799 | + | 0.162481i | ||||
\(35\) | −3.24023 | + | 0.475930i | −0.547698 | + | 0.0804468i | ||||
\(36\) | −1.64143 | + | 2.84303i | −0.273571 | + | 0.473839i | ||||
\(37\) | −0.339369 | −0.0557919 | −0.0278959 | − | 0.999611i | \(-0.508881\pi\) | ||||
−0.0278959 | + | 0.999611i | \(0.508881\pi\) | |||||||
\(38\) | 4.74833 | + | 4.40581i | 0.770281 | + | 0.714717i | ||||
\(39\) | −17.9170 | − | 2.70055i | −2.86901 | − | 0.432434i | ||||
\(40\) | −2.48994 | − | 1.19909i | −0.393695 | − | 0.189593i | ||||
\(41\) | 6.04838 | − | 2.91275i | 0.944599 | − | 0.454895i | 0.102810 | − | 0.994701i | \(-0.467217\pi\) |
0.841789 | + | 0.539806i | \(0.181502\pi\) | |||||||
\(42\) | −7.72409 | + | 9.61133i | −1.19185 | + | 1.48306i | ||||
\(43\) | −6.49212 | + | 0.923244i | −0.990039 | + | 0.140793i | ||||
\(44\) | −0.417208 | + | 0.722626i | −0.0628965 | + | 0.108940i | ||||
\(45\) | 5.40741 | + | 3.68671i | 0.806089 | + | 0.549582i | ||||
\(46\) | 7.57379 | − | 5.16373i | 1.11670 | − | 0.761350i | ||||
\(47\) | −0.568775 | − | 1.44921i | −0.0829643 | − | 0.211390i | 0.883372 | − | 0.468673i | \(-0.155268\pi\) |
−0.966336 | + | 0.257284i | \(0.917173\pi\) | |||||||
\(48\) | −13.3589 | + | 4.12068i | −1.92819 | + | 0.594769i | ||||
\(49\) | −5.16703 | + | 4.72248i | −0.738147 | + | 0.674640i | ||||
\(50\) | −2.80703 | + | 4.86192i | −0.396974 | + | 0.687579i | ||||
\(51\) | 8.28599 | + | 7.68827i | 1.16027 | + | 1.07657i | ||||
\(52\) | 2.43668 | + | 3.05550i | 0.337907 | + | 0.423721i | ||||
\(53\) | −10.8079 | − | 3.33379i | −1.48458 | − | 0.457932i | −0.556668 | − | 0.830735i | \(-0.687920\pi\) |
−0.927910 | + | 0.372804i | \(0.878397\pi\) | |||||||
\(54\) | 10.5402 | − | 1.58867i | 1.43433 | − | 0.216191i | ||||
\(55\) | 1.37442 | + | 0.937067i | 0.185327 | + | 0.126354i | ||||
\(56\) | −5.84430 | + | 0.858421i | −0.780978 | + | 0.114711i | ||||
\(57\) | 0.860753 | − | 11.4860i | 0.114010 | − | 1.52135i | ||||
\(58\) | −8.52759 | − | 1.28533i | −1.11973 | − | 0.168772i | ||||
\(59\) | 6.02128 | − | 5.58693i | 0.783904 | − | 0.727357i | −0.182829 | − | 0.983145i | \(-0.558525\pi\) |
0.966733 | + | 0.255788i | \(0.0823349\pi\) | |||||||
\(60\) | −0.492338 | − | 2.15708i | −0.0635606 | − | 0.278477i | ||||
\(61\) | 0.0862800 | + | 1.15133i | 0.0110470 | + | 0.147412i | 1.00000 | 0.000819524i | \(-0.000260862\pi\) | |
−0.988953 | + | 0.148232i | \(0.952642\pi\) | |||||||
\(62\) | 9.27197 | + | 1.39752i | 1.17754 | + | 0.177486i | ||||
\(63\) | 13.9884 | + | 0.0526082i | 1.76237 | + | 0.00662801i | ||||
\(64\) | −3.79634 | − | 1.82822i | −0.474543 | − | 0.228528i | ||||
\(65\) | 6.43735 | − | 4.38891i | 0.798454 | − | 0.544377i | ||||
\(66\) | 6.19306 | − | 0.933453i | 0.762313 | − | 0.114900i | ||||
\(67\) | −4.54135 | − | 11.5712i | −0.554814 | − | 1.41364i | −0.883154 | − | 0.469083i | \(-0.844584\pi\) |
0.328340 | − | 0.944560i | \(-0.393511\pi\) | |||||||
\(68\) | −0.182193 | − | 2.43119i | −0.0220941 | − | 0.294826i | ||||
\(69\) | −15.5757 | − | 4.80448i | −1.87510 | − | 0.578391i | ||||
\(70\) | −0.376329 | − | 5.28858i | −0.0449799 | − | 0.632107i | ||||
\(71\) | 4.51953 | + | 11.5156i | 0.536370 | + | 1.36665i | 0.900320 | + | 0.435229i | \(0.143333\pi\) |
−0.363950 | + | 0.931419i | \(0.618572\pi\) | |||||||
\(72\) | 9.75319 | + | 6.64961i | 1.14942 | + | 0.783664i | ||||
\(73\) | −0.345718 | + | 1.51469i | −0.0404632 | + | 0.177281i | −0.991122 | − | 0.132959i | \(-0.957552\pi\) |
0.950658 | + | 0.310240i | \(0.100409\pi\) | |||||||
\(74\) | 0.0410576 | − | 0.547875i | 0.00477285 | − | 0.0636892i | ||||
\(75\) | 9.87133 | − | 1.48786i | 1.13984 | − | 0.171804i | ||||
\(76\) | −1.82114 | + | 1.68977i | −0.208899 | + | 0.193830i | ||||
\(77\) | 3.55550 | + | 0.0133717i | 0.405186 | + | 0.00152384i | ||||
\(78\) | 6.52739 | − | 28.5984i | 0.739082 | − | 3.23813i | ||||
\(79\) | −1.65360 | − | 2.86412i | −0.186045 | − | 0.322239i | 0.757883 | − | 0.652390i | \(-0.226234\pi\) |
−0.943928 | + | 0.330151i | \(0.892900\pi\) | |||||||
\(80\) | 3.00563 | − | 5.20591i | 0.336040 | − | 0.582038i | ||||
\(81\) | −2.26702 | − | 2.10348i | −0.251891 | − | 0.233720i | ||||
\(82\) | 3.97058 | + | 10.1169i | 0.438477 | + | 1.11722i | ||||
\(83\) | 1.01612 | + | 13.5592i | 0.111534 | + | 1.48832i | 0.719577 | + | 0.694413i | \(0.244336\pi\) |
−0.608043 | + | 0.793904i | \(0.708045\pi\) | |||||||
\(84\) | −3.45457 | − | 3.22964i | −0.376925 | − | 0.352382i | ||||
\(85\) | −4.86035 | −0.527179 | ||||||||
\(86\) | −0.705051 | − | 10.5925i | −0.0760276 | − | 1.14222i | ||||
\(87\) | 7.66745 | + | 13.2804i | 0.822037 | + | 1.42381i | ||||
\(88\) | 2.47901 | + | 1.69016i | 0.264263 | + | 0.180172i | ||||
\(89\) | 2.70939 | + | 1.30477i | 0.287195 | + | 0.138306i | 0.571935 | − | 0.820299i | \(-0.306193\pi\) |
−0.284740 | + | 0.958605i | \(0.591907\pi\) | |||||||
\(90\) | −6.60601 | + | 8.28367i | −0.696334 | + | 0.873175i | ||||
\(91\) | 6.14223 | − | 15.4787i | 0.643881 | − | 1.62261i | ||||
\(92\) | 1.75785 | + | 3.04468i | 0.183268 | + | 0.317430i | ||||
\(93\) | −8.33675 | − | 14.4397i | −0.864481 | − | 1.49732i | ||||
\(94\) | 2.40842 | − | 0.742898i | 0.248409 | − | 0.0766241i | ||||
\(95\) | 3.08795 | + | 3.87217i | 0.316817 | + | 0.397276i | ||||
\(96\) | −2.17585 | − | 9.53301i | −0.222071 | − | 0.972959i | ||||
\(97\) | −4.75572 | − | 5.96349i | −0.482870 | − | 0.605500i | 0.479400 | − | 0.877597i | \(-0.340854\pi\) |
−0.962270 | + | 0.272096i | \(0.912283\pi\) | |||||||
\(98\) | −6.99883 | − | 8.91297i | −0.706989 | − | 0.900346i | ||||
\(99\) | −5.20848 | − | 4.83277i | −0.523472 | − | 0.485711i | ||||
\(100\) | −1.77904 | − | 1.21293i | −0.177904 | − | 0.121293i | ||||
\(101\) | −3.52821 | + | 4.42424i | −0.351070 | + | 0.440228i | −0.925742 | − | 0.378156i | \(-0.876558\pi\) |
0.574672 | + | 0.818384i | \(0.305130\pi\) | |||||||
\(102\) | −13.4144 | + | 12.4467i | −1.32822 | + | 1.23241i | ||||
\(103\) | 5.28760 | − | 4.90617i | 0.521002 | − | 0.483420i | −0.375275 | − | 0.926914i | \(-0.622452\pi\) |
0.896277 | + | 0.443494i | \(0.146261\pi\) | |||||||
\(104\) | 11.6109 | − | 7.91615i | 1.13854 | − | 0.776242i | ||||
\(105\) | −6.93518 | + | 6.38653i | −0.676804 | + | 0.623262i | ||||
\(106\) | 6.68962 | − | 17.0449i | 0.649754 | − | 1.65555i | ||||
\(107\) | −6.17596 | + | 4.21070i | −0.597053 | + | 0.407064i | −0.823792 | − | 0.566892i | \(-0.808146\pi\) |
0.226740 | + | 0.973955i | \(0.427193\pi\) | |||||||
\(108\) | 0.305509 | + | 4.07673i | 0.0293976 | + | 0.392284i | ||||
\(109\) | −12.3316 | + | 1.85868i | −1.18115 | + | 0.178030i | −0.710115 | − | 0.704085i | \(-0.751357\pi\) |
−0.471034 | + | 0.882115i | \(0.656119\pi\) | |||||||
\(110\) | −1.67908 | + | 2.10550i | −0.160094 | + | 0.200751i | ||||
\(111\) | −0.807198 | + | 0.550338i | −0.0766158 | + | 0.0522358i | ||||
\(112\) | −0.911980 | − | 12.8161i | −0.0861740 | − | 1.21101i | ||||
\(113\) | 1.32865 | + | 5.82121i | 0.124989 | + | 0.547614i | 0.998184 | + | 0.0602420i | \(0.0191872\pi\) |
−0.873195 | + | 0.487372i | \(0.837956\pi\) | |||||||
\(114\) | 18.4387 | + | 2.77919i | 1.72695 | + | 0.260295i | ||||
\(115\) | 6.31470 | − | 3.04100i | 0.588849 | − | 0.283575i | ||||
\(116\) | 0.736000 | − | 3.22463i | 0.0683359 | − | 0.299399i | ||||
\(117\) | −29.9828 | + | 14.4390i | −2.77191 | + | 1.33488i | ||||
\(118\) | 8.29105 | + | 10.3967i | 0.763253 | + | 0.957090i | ||||
\(119\) | −8.60539 | + | 5.81977i | −0.788855 | + | 0.533497i | ||||
\(120\) | −7.86692 | + | 1.18575i | −0.718148 | + | 0.108243i | ||||
\(121\) | 6.73971 | + | 6.25353i | 0.612701 | + | 0.568503i | ||||
\(122\) | −1.86914 | −0.169224 | ||||||||
\(123\) | 9.66279 | − | 16.7364i | 0.871264 | − | 1.50907i | ||||
\(124\) | −0.800246 | + | 3.50611i | −0.0718642 | + | 0.314858i | ||||
\(125\) | −6.53521 | + | 8.19490i | −0.584527 | + | 0.732974i | ||||
\(126\) | −1.77728 | + | 22.5765i | −0.158333 | + | 2.01127i | ||||
\(127\) | 4.97152 | − | 2.39416i | 0.441151 | − | 0.212447i | −0.200104 | − | 0.979775i | \(-0.564128\pi\) |
0.641255 | + | 0.767327i | \(0.278414\pi\) | |||||||
\(128\) | 6.80744 | − | 11.7908i | 0.601699 | − | 1.04217i | ||||
\(129\) | −13.9445 | + | 12.7239i | −1.22775 | + | 1.12028i | ||||
\(130\) | 6.30663 | + | 10.9234i | 0.553128 | + | 0.958046i | ||||
\(131\) | −1.21490 | + | 16.2117i | −0.106146 | + | 1.41642i | 0.648962 | + | 0.760821i | \(0.275204\pi\) |
−0.755108 | + | 0.655601i | \(0.772415\pi\) | |||||||
\(132\) | 0.179507 | + | 2.39535i | 0.0156241 | + | 0.208489i | ||||
\(133\) | 10.1038 | + | 3.15828i | 0.876113 | + | 0.273858i | ||||
\(134\) | 19.2299 | − | 5.93163i | 1.66121 | − | 0.512414i | ||||
\(135\) | 8.15005 | 0.701445 | ||||||||
\(136\) | −8.76648 | −0.751720 | ||||||||
\(137\) | 17.9295 | − | 5.53052i | 1.53182 | − | 0.472505i | 0.589657 | − | 0.807654i | \(-0.299263\pi\) |
0.942165 | + | 0.335149i | \(0.108787\pi\) | |||||||
\(138\) | 9.64071 | − | 24.5641i | 0.820672 | − | 2.09104i | ||||
\(139\) | 6.38219 | − | 5.92181i | 0.541331 | − | 0.502281i | −0.361445 | − | 0.932393i | \(-0.617716\pi\) |
0.902776 | + | 0.430112i | \(0.141526\pi\) | |||||||
\(140\) | 2.03346 | + | 0.00764753i | 0.171859 | + | 0.000646334i | ||||
\(141\) | −3.70297 | − | 2.52464i | −0.311846 | − | 0.212613i | ||||
\(142\) | −19.1375 | + | 5.90313i | −1.60598 | + | 0.495380i | ||||
\(143\) | −7.62086 | + | 3.67001i | −0.637288 | + | 0.306902i | ||||
\(144\) | −16.0087 | + | 20.0743i | −1.33406 | + | 1.67286i | ||||
\(145\) | −6.30091 | − | 1.94357i | −0.523262 | − | 0.161405i | ||||
\(146\) | −2.40348 | − | 0.741377i | −0.198914 | − | 0.0613568i | ||||
\(147\) | −4.63171 | + | 19.6117i | −0.382017 | + | 1.61754i | ||||
\(148\) | 0.208364 | + | 0.0314058i | 0.0171274 | + | 0.00258154i | ||||
\(149\) | −3.62234 | − | 4.54227i | −0.296754 | − | 0.372118i | 0.610993 | − | 0.791636i | \(-0.290770\pi\) |
−0.907747 | + | 0.419518i | \(0.862199\pi\) | |||||||
\(150\) | 1.20775 | + | 16.1162i | 0.0986120 | + | 1.31589i | ||||
\(151\) | 1.45488 | + | 19.4141i | 0.118397 | + | 1.57989i | 0.667803 | + | 0.744338i | \(0.267235\pi\) |
−0.549407 | + | 0.835555i | \(0.685146\pi\) | |||||||
\(152\) | 5.56965 | + | 6.98413i | 0.451759 | + | 0.566487i | ||||
\(153\) | 20.5282 | + | 3.09413i | 1.65961 | + | 0.250146i | ||||
\(154\) | −0.451739 | + | 5.73836i | −0.0364022 | + | 0.462410i | ||||
\(155\) | 6.85092 | + | 2.11323i | 0.550279 | + | 0.169739i | ||||
\(156\) | 10.7507 | + | 3.31614i | 0.860742 | + | 0.265504i | ||||
\(157\) | −4.10595 | + | 5.14870i | −0.327690 | + | 0.410911i | −0.918198 | − | 0.396121i | \(-0.870356\pi\) |
0.590508 | + | 0.807032i | \(0.298927\pi\) | |||||||
\(158\) | 4.82389 | − | 2.32306i | 0.383768 | − | 0.184813i | ||||
\(159\) | −31.1131 | + | 9.59713i | −2.46743 | + | 0.761102i | ||||
\(160\) | 3.47393 | + | 2.36849i | 0.274638 | + | 0.187245i | ||||
\(161\) | 7.53907 | − | 12.9454i | 0.594162 | − | 1.02024i | ||||
\(162\) | 3.67012 | − | 3.40538i | 0.288352 | − | 0.267552i | ||||
\(163\) | −6.07186 | + | 15.4708i | −0.475584 | + | 1.21177i | 0.468911 | + | 0.883245i | \(0.344646\pi\) |
−0.944496 | + | 0.328524i | \(0.893449\pi\) | |||||||
\(164\) | −3.98311 | + | 1.22863i | −0.311029 | + | 0.0959396i | ||||
\(165\) | 4.78871 | 0.372800 | ||||||||
\(166\) | −22.0129 | −1.70853 | ||||||||
\(167\) | 8.11260 | − | 2.50241i | 0.627772 | − | 0.193642i | 0.0354865 | − | 0.999370i | \(-0.488702\pi\) |
0.592286 | + | 0.805728i | \(0.298226\pi\) | |||||||
\(168\) | −12.5088 | + | 11.5192i | −0.965073 | + | 0.888726i | ||||
\(169\) | 1.98908 | + | 26.5424i | 0.153006 | + | 2.04173i | ||||
\(170\) | 0.588017 | − | 7.84654i | 0.0450988 | − | 0.601802i | ||||
\(171\) | −10.5772 | − | 18.3203i | −0.808862 | − | 1.40099i | ||||
\(172\) | 4.07144 | + | 0.0339438i | 0.310444 | + | 0.00258819i | ||||
\(173\) | 7.55505 | − | 13.0857i | 0.574400 | − | 0.994889i | −0.421707 | − | 0.906732i | \(-0.638569\pi\) |
0.996107 | − | 0.0881572i | \(-0.0280978\pi\) | |||||||
\(174\) | −22.3675 | + | 10.7716i | −1.69567 | + | 0.816594i | ||||
\(175\) | −0.720043 | + | 9.14657i | −0.0544301 | + | 0.691416i | ||||
\(176\) | −4.06901 | + | 5.10237i | −0.306713 | + | 0.384606i | ||||
\(177\) | 5.26172 | − | 23.0531i | 0.395495 | − | 1.73278i | ||||
\(178\) | −2.43421 | + | 4.21618i | −0.182452 | + | 0.316016i | ||||
\(179\) | 0.654360 | 0.0489092 | 0.0244546 | − | 0.999701i | \(-0.492215\pi\) | ||||
0.0244546 | + | 0.999701i | \(0.492215\pi\) | |||||||
\(180\) | −2.97884 | − | 2.76396i | −0.222030 | − | 0.206013i | ||||
\(181\) | −4.32351 | + | 0.651664i | −0.321364 | + | 0.0484378i | −0.307743 | − | 0.951469i | \(-0.599574\pi\) |
−0.0136206 | + | 0.999907i | \(0.504336\pi\) | |||||||
\(182\) | 24.2457 | + | 11.7886i | 1.79721 | + | 0.873833i | ||||
\(183\) | 2.07227 | + | 2.59855i | 0.153187 | + | 0.192090i | ||||
\(184\) | 11.3896 | − | 5.48496i | 0.839656 | − | 0.404357i | ||||
\(185\) | 0.0934768 | − | 0.409548i | 0.00687255 | − | 0.0301106i | ||||
\(186\) | 24.3199 | − | 11.7119i | 1.78322 | − | 0.858756i | ||||
\(187\) | 5.21775 | + | 0.786449i | 0.381559 | + | 0.0575108i | ||||
\(188\) | 0.215100 | + | 0.942417i | 0.0156878 | + | 0.0687328i | ||||
\(189\) | 14.4299 | − | 9.75884i | 1.04962 | − | 0.709851i | ||||
\(190\) | −6.62480 | + | 4.51672i | −0.480614 | + | 0.327677i | ||||
\(191\) | −2.40274 | + | 3.01294i | −0.173856 | + | 0.218009i | −0.861124 | − | 0.508396i | \(-0.830239\pi\) |
0.687267 | + | 0.726405i | \(0.258810\pi\) | |||||||
\(192\) | −11.9944 | + | 1.80787i | −0.865625 | + | 0.130472i | ||||
\(193\) | −1.53046 | − | 20.4225i | −0.110165 | − | 1.47004i | −0.728994 | − | 0.684520i | \(-0.760012\pi\) |
0.618830 | − | 0.785525i | \(-0.287607\pi\) | |||||||
\(194\) | 10.2028 | − | 6.95614i | 0.732517 | − | 0.499422i | ||||
\(195\) | 8.19412 | − | 20.8783i | 0.586793 | − | 1.49513i | ||||
\(196\) | 3.60946 | − | 2.42132i | 0.257818 | − | 0.172951i | ||||
\(197\) | −6.22896 | + | 4.24683i | −0.443795 | + | 0.302574i | −0.764522 | − | 0.644597i | \(-0.777025\pi\) |
0.320727 | + | 0.947172i | \(0.396073\pi\) | |||||||
\(198\) | 8.43213 | − | 7.82387i | 0.599245 | − | 0.556019i | ||||
\(199\) | 15.7543 | − | 14.6179i | 1.11679 | − | 1.03623i | 0.117728 | − | 0.993046i | \(-0.462439\pi\) |
0.999067 | − | 0.0431883i | \(-0.0137515\pi\) | |||||||
\(200\) | −4.82724 | + | 6.05317i | −0.341337 | + | 0.428024i | ||||
\(201\) | −29.5661 | − | 20.1579i | −2.08544 | − | 1.42183i | ||||
\(202\) | −6.71562 | − | 6.23118i | −0.472509 | − | 0.438425i | ||||
\(203\) | −13.4832 | + | 4.10353i | −0.946332 | + | 0.288012i | ||||
\(204\) | −4.37590 | − | 5.48721i | −0.306375 | − | 0.384182i | ||||
\(205\) | 1.84910 | + | 8.10146i | 0.129147 | + | 0.565830i | ||||
\(206\) | 7.28080 | + | 9.12983i | 0.507277 | + | 0.636106i | ||||
\(207\) | −28.6067 | + | 8.82400i | −1.98830 | + | 0.613311i | ||||
\(208\) | 15.2832 | + | 26.4713i | 1.05970 | + | 1.83546i | ||||
\(209\) | −2.68847 | − | 4.65656i | −0.185965 | − | 0.322101i | ||||
\(210\) | −9.47136 | − | 11.9688i | −0.653586 | − | 0.825924i | ||||
\(211\) | 8.55047 | − | 10.7219i | 0.588638 | − | 0.738129i | −0.394921 | − | 0.918715i | \(-0.629228\pi\) |
0.983559 | + | 0.180586i | \(0.0577994\pi\) | |||||||
\(212\) | 6.32726 | + | 3.04705i | 0.434558 | + | 0.209272i | ||||
\(213\) | 29.4241 | + | 20.0610i | 2.01611 | + | 1.37456i | ||||
\(214\) | −6.05055 | − | 10.4799i | −0.413607 | − | 0.716389i | ||||
\(215\) | 0.674043 | − | 8.08896i | 0.0459694 | − | 0.551663i | ||||
\(216\) | 14.7000 | 1.00021 | ||||||||
\(217\) | 14.6601 | − | 4.46173i | 0.995193 | − | 0.302882i | ||||
\(218\) | −1.50875 | − | 20.1329i | −0.102186 | − | 1.36357i | ||||
\(219\) | 1.63400 | + | 4.16337i | 0.110416 | + | 0.281334i | ||||
\(220\) | −0.757145 | − | 0.702528i | −0.0510467 | − | 0.0473644i | ||||
\(221\) | 12.3571 | − | 21.4031i | 0.831229 | − | 1.43973i | ||||
\(222\) | −0.790807 | − | 1.36972i | −0.0530755 | − | 0.0919295i | ||||
\(223\) | −4.77577 | + | 20.9240i | −0.319809 | + | 1.40118i | 0.518079 | + | 0.855333i | \(0.326647\pi\) |
−0.837888 | + | 0.545842i | \(0.816210\pi\) | |||||||
\(224\) | 8.98671 | + | 0.0337976i | 0.600450 | + | 0.00225820i | ||||
\(225\) | 13.4403 | − | 12.4708i | 0.896018 | − | 0.831383i | ||||
\(226\) | −9.55849 | + | 1.44071i | −0.635821 | + | 0.0958346i | ||||
\(227\) | 0.373324 | − | 4.98167i | 0.0247784 | − | 0.330645i | −0.971015 | − | 0.239018i | \(-0.923174\pi\) |
0.995793 | − | 0.0916265i | \(-0.0292066\pi\) | |||||||
\(228\) | −1.59141 | + | 6.97244i | −0.105394 | + | 0.461761i | ||||
\(229\) | 7.42286 | + | 5.06082i | 0.490516 | + | 0.334428i | 0.783188 | − | 0.621785i | \(-0.213592\pi\) |
−0.292672 | + | 0.956213i | \(0.594544\pi\) | |||||||
\(230\) | 4.14541 | + | 10.5623i | 0.273340 | + | 0.696460i | ||||
\(231\) | 8.47853 | − | 5.73398i | 0.557846 | − | 0.377268i | ||||
\(232\) | −11.3648 | − | 3.50557i | −0.746134 | − | 0.230152i | ||||
\(233\) | −0.775895 | − | 10.3536i | −0.0508306 | − | 0.678287i | −0.963177 | − | 0.268868i | \(-0.913351\pi\) |
0.912347 | − | 0.409419i | \(-0.134269\pi\) | |||||||
\(234\) | −19.6828 | − | 50.1510i | −1.28671 | − | 3.27847i | ||||
\(235\) | 1.90557 | − | 0.287218i | 0.124306 | − | 0.0187361i | ||||
\(236\) | −4.21394 | + | 2.87302i | −0.274304 | + | 0.187018i | ||||
\(237\) | −8.57776 | − | 4.13083i | −0.557185 | − | 0.268326i | ||||
\(238\) | −8.35431 | − | 14.5966i | −0.541530 | − | 0.946157i | ||||
\(239\) | 0.0568959 | + | 0.00857567i | 0.00368029 | + | 0.000554714i | 0.150882 | − | 0.988552i | \(-0.451789\pi\) |
−0.147202 | + | 0.989106i | \(0.547027\pi\) | |||||||
\(240\) | −1.29320 | − | 17.2565i | −0.0834754 | − | 1.11390i | ||||
\(241\) | −1.11764 | − | 4.89668i | −0.0719932 | − | 0.315423i | 0.926090 | − | 0.377302i | \(-0.123148\pi\) |
−0.998084 | + | 0.0618787i | \(0.980291\pi\) | |||||||
\(242\) | −10.9111 | + | 10.1240i | −0.701390 | + | 0.650795i | ||||
\(243\) | 10.7285 | + | 1.61706i | 0.688235 | + | 0.103735i | ||||
\(244\) | 0.0535722 | − | 0.714871i | 0.00342961 | − | 0.0457649i | ||||
\(245\) | −4.27584 | − | 7.53632i | −0.273174 | − | 0.481478i | ||||
\(246\) | 25.8502 | + | 17.6244i | 1.64815 | + | 1.12369i | ||||
\(247\) | −24.9025 | + | 3.75344i | −1.58451 | + | 0.238826i | ||||
\(248\) | 12.3568 | + | 3.81157i | 0.784658 | + | 0.242035i | ||||
\(249\) | 24.4052 | + | 30.6032i | 1.54662 | + | 1.93940i | ||||
\(250\) | −12.4392 | − | 11.5419i | −0.786722 | − | 0.729971i | ||||
\(251\) | −7.10484 | + | 12.3059i | −0.448453 | + | 0.776744i | −0.998286 | − | 0.0585312i | \(-0.981358\pi\) |
0.549832 | + | 0.835275i | \(0.314692\pi\) | |||||||
\(252\) | −8.58367 | − | 1.32681i | −0.540720 | − | 0.0835814i | ||||
\(253\) | −7.27110 | + | 2.24284i | −0.457130 | + | 0.141006i | ||||
\(254\) | 3.26365 | + | 8.31565i | 0.204780 | + | 0.521770i | ||||
\(255\) | −11.5605 | + | 7.88181i | −0.723946 | + | 0.493578i | ||||
\(256\) | 11.2486 | + | 7.66915i | 0.703036 | + | 0.479322i | ||||
\(257\) | −8.86038 | + | 15.3466i | −0.552696 | + | 0.957297i | 0.445383 | + | 0.895340i | \(0.353067\pi\) |
−0.998079 | + | 0.0619567i | \(0.980266\pi\) | |||||||
\(258\) | −18.8544 | − | 24.0513i | −1.17383 | − | 1.49737i | ||||
\(259\) | −0.324889 | − | 0.837045i | −0.0201876 | − | 0.0520115i | ||||
\(260\) | −4.35853 | + | 2.09896i | −0.270304 | + | 0.130172i | ||||
\(261\) | 25.3753 | + | 12.2201i | 1.57069 | + | 0.756404i | ||||
\(262\) | −26.0251 | − | 3.92265i | −1.60784 | − | 0.242342i | ||||
\(263\) | −8.18010 | − | 7.59002i | −0.504406 | − | 0.468021i | 0.386447 | − | 0.922312i | \(-0.373702\pi\) |
−0.890853 | + | 0.454291i | \(0.849893\pi\) | |||||||
\(264\) | 8.63725 | 0.531586 | ||||||||
\(265\) | 7.00017 | − | 12.1246i | 0.430017 | − | 0.744811i | ||||
\(266\) | −6.32110 | + | 15.9295i | −0.387571 | + | 0.976699i | ||||
\(267\) | 8.56026 | − | 1.29025i | 0.523879 | − | 0.0789621i | ||||
\(268\) | 1.71746 | + | 7.52467i | 0.104910 | + | 0.459643i | ||||
\(269\) | 0.627691 | − | 1.59933i | 0.0382710 | − | 0.0975129i | −0.910461 | − | 0.413596i | \(-0.864273\pi\) |
0.948732 | + | 0.316083i | \(0.102368\pi\) | |||||||
\(270\) | −0.986011 | + | 13.1574i | −0.0600067 | + | 0.800734i | ||||
\(271\) | 26.9291 | − | 8.30652i | 1.63582 | − | 0.504585i | 0.665501 | − | 0.746397i | \(-0.268218\pi\) |
0.970323 | + | 0.241812i | \(0.0777417\pi\) | |||||||
\(272\) | 1.42497 | − | 19.0150i | 0.0864018 | − | 1.15295i | ||||
\(273\) | −10.4917 | − | 46.7772i | −0.634984 | − | 2.83108i | ||||
\(274\) | 6.75930 | + | 29.6144i | 0.408344 | + | 1.78907i | ||||
\(275\) | 3.41617 | − | 3.16975i | 0.206003 | − | 0.191143i | ||||
\(276\) | 9.11850 | + | 4.39124i | 0.548869 | + | 0.264321i | ||||
\(277\) | 5.27383 | + | 13.4375i | 0.316874 | + | 0.807381i | 0.997222 | + | 0.0744920i | \(0.0237335\pi\) |
−0.680348 | + | 0.732889i | \(0.738171\pi\) | |||||||
\(278\) | 8.78801 | + | 11.0198i | 0.527070 | + | 0.660925i | ||||
\(279\) | −27.5903 | − | 13.2868i | −1.65179 | − | 0.795459i | ||||
\(280\) | 0.573835 | − | 7.28932i | 0.0342932 | − | 0.435620i | ||||
\(281\) | 3.53608 | − | 9.00980i | 0.210945 | − | 0.537479i | −0.785765 | − | 0.618525i | \(-0.787731\pi\) |
0.996710 | + | 0.0810453i | \(0.0258259\pi\) | |||||||
\(282\) | 4.52376 | − | 5.67262i | 0.269386 | − | 0.337800i | ||||
\(283\) | 11.7343 | + | 5.65094i | 0.697531 | + | 0.335913i | 0.748823 | − | 0.662770i | \(-0.230619\pi\) |
−0.0512914 | + | 0.998684i | \(0.516334\pi\) | |||||||
\(284\) | −1.70921 | − | 7.48853i | −0.101423 | − | 0.444362i | ||||
\(285\) | 13.6241 | + | 4.20248i | 0.807022 | + | 0.248933i | ||||
\(286\) | −5.00287 | − | 12.7471i | −0.295826 | − | 0.753751i | ||||
\(287\) | 12.9745 | + | 12.1297i | 0.765863 | + | 0.715996i | ||||
\(288\) | −13.1647 | − | 12.2151i | −0.775739 | − | 0.719780i | ||||
\(289\) | 1.42579 | − | 0.686625i | 0.0838701 | − | 0.0403897i | ||||
\(290\) | 3.89999 | − | 9.93702i | 0.229016 | − | 0.583522i | ||||
\(291\) | −20.9823 | − | 6.47219i | −1.23001 | − | 0.379407i | ||||
\(292\) | 0.352435 | − | 0.897989i | 0.0206247 | − | 0.0525508i | ||||
\(293\) | −4.20018 | + | 18.4022i | −0.245377 | + | 1.07507i | 0.690664 | + | 0.723176i | \(0.257318\pi\) |
−0.936041 | + | 0.351891i | \(0.885539\pi\) | |||||||
\(294\) | −31.1007 | − | 9.85007i | −1.81383 | − | 0.574468i | ||||
\(295\) | 5.08376 | + | 8.80534i | 0.295988 | + | 0.512667i | ||||
\(296\) | 0.168601 | − | 0.738691i | 0.00979976 | − | 0.0429355i | ||||
\(297\) | −8.74934 | − | 1.31875i | −0.507688 | − | 0.0765217i | ||||
\(298\) | 7.77127 | − | 5.29836i | 0.450177 | − | 0.306926i | ||||
\(299\) | −2.66328 | + | 35.5391i | −0.154022 | + | 2.05528i | ||||
\(300\) | −6.19844 | −0.357867 | ||||||||
\(301\) | −8.49228 | − | 15.1288i | −0.489487 | − | 0.872011i | ||||
\(302\) | −31.5180 | −1.81366 | ||||||||
\(303\) | −1.21737 | + | 16.2447i | −0.0699362 | + | 0.933234i | ||||
\(304\) | −16.0543 | + | 10.9456i | −0.920776 | + | 0.627774i | ||||
\(305\) | −1.41318 | − | 0.213003i | −0.0809185 | − | 0.0121965i | ||||
\(306\) | −7.47870 | + | 32.7663i | −0.427529 | + | 1.87313i | ||||
\(307\) | 15.7095 | + | 27.2096i | 0.896588 | + | 1.55294i | 0.831827 | + | 0.555035i | \(0.187295\pi\) |
0.0647609 | + | 0.997901i | \(0.479372\pi\) | |||||||
\(308\) | −2.18175 | − | 0.337242i | −0.124317 | − | 0.0192162i | ||||
\(309\) | 4.62059 | − | 20.2441i | 0.262856 | − | 1.15165i | ||||
\(310\) | −4.24043 | + | 10.8044i | −0.240840 | + | 0.613650i | ||||
\(311\) | 18.0251 | + | 5.56000i | 1.02211 | + | 0.315278i | 0.760113 | − | 0.649791i | \(-0.225144\pi\) |
0.261995 | + | 0.965069i | \(0.415620\pi\) | |||||||
\(312\) | 14.7795 | − | 37.6576i | 0.836725 | − | 2.13194i | ||||
\(313\) | 6.52245 | − | 3.14105i | 0.368671 | − | 0.177543i | −0.240370 | − | 0.970681i | \(-0.577269\pi\) |
0.609041 | + | 0.793139i | \(0.291555\pi\) | |||||||
\(314\) | −7.81529 | − | 7.25153i | −0.441042 | − | 0.409227i | ||||
\(315\) | −3.91650 | + | 16.8667i | −0.220670 | + | 0.950328i | ||||
\(316\) | 0.750220 | + | 1.91153i | 0.0422032 | + | 0.107532i | ||||
\(317\) | −21.5939 | − | 6.66085i | −1.21284 | − | 0.374110i | −0.378622 | − | 0.925551i | \(-0.623602\pi\) |
−0.834214 | + | 0.551441i | \(0.814078\pi\) | |||||||
\(318\) | −11.7294 | − | 51.3900i | −0.657754 | − | 2.88181i | ||||
\(319\) | 6.44974 | + | 3.10603i | 0.361116 | + | 0.173904i | ||||
\(320\) | 3.25196 | − | 4.07783i | 0.181790 | − | 0.227958i | ||||
\(321\) | −7.86140 | + | 20.0305i | −0.438781 | + | 1.11800i | ||||
\(322\) | 19.9869 | + | 13.7372i | 1.11382 | + | 0.765544i | ||||
\(323\) | 14.1546 | + | 6.81649i | 0.787582 | + | 0.379279i | ||||
\(324\) | 1.19723 | + | 1.50128i | 0.0665129 | + | 0.0834045i | ||||
\(325\) | −7.97424 | − | 20.3180i | −0.442332 | − | 1.12704i | ||||
\(326\) | −24.2415 | − | 11.6741i | −1.34261 | − | 0.646567i | ||||
\(327\) | −26.3168 | + | 24.4184i | −1.45532 | + | 1.35034i | ||||
\(328\) | 3.33518 | + | 14.6124i | 0.184154 | + | 0.806833i | ||||
\(329\) | 3.02995 | − | 2.79025i | 0.167046 | − | 0.153831i | ||||
\(330\) | −0.579348 | + | 7.73087i | −0.0318921 | + | 0.425570i | ||||
\(331\) | −13.6777 | + | 4.21903i | −0.751797 | + | 0.231899i | −0.646890 | − | 0.762583i | \(-0.723931\pi\) |
−0.104907 | + | 0.994482i | \(0.533454\pi\) | |||||||
\(332\) | 0.630921 | − | 8.41905i | 0.0346263 | − | 0.462056i | ||||
\(333\) | −0.655530 | + | 1.67026i | −0.0359228 | + | 0.0915298i | ||||
\(334\) | 3.05839 | + | 13.3997i | 0.167348 | + | 0.733199i | ||||
\(335\) | 15.2149 | − | 2.29328i | 0.831279 | − | 0.125295i | ||||
\(336\) | −22.9525 | − | 29.0046i | −1.25216 | − | 1.58233i | ||||
\(337\) | −4.96891 | + | 8.60641i | −0.270674 | + | 0.468821i | −0.969035 | − | 0.246925i | \(-0.920580\pi\) |
0.698361 | + | 0.715746i | \(0.253913\pi\) | |||||||
\(338\) | −43.0907 | −2.34382 | ||||||||
\(339\) | 12.6002 | + | 11.6913i | 0.684351 | + | 0.634985i | ||||
\(340\) | 2.98414 | + | 0.449786i | 0.161838 | + | 0.0243931i | ||||
\(341\) | −7.01274 | − | 3.37716i | −0.379761 | − | 0.182883i | ||||
\(342\) | 30.8559 | − | 14.8594i | 1.66850 | − | 0.803506i | ||||
\(343\) | −16.5945 | − | 8.22339i | −0.896016 | − | 0.444021i | ||||
\(344\) | 1.21575 | − | 14.5898i | 0.0655490 | − | 0.786631i | ||||
\(345\) | 10.0883 | − | 17.4734i | 0.543133 | − | 0.940734i | ||||
\(346\) | 20.2115 | + | 13.7800i | 1.08658 | + | 0.740816i | ||||
\(347\) | −20.1074 | + | 13.7090i | −1.07942 | + | 0.735939i | −0.966242 | − | 0.257636i | \(-0.917057\pi\) |
−0.113182 | + | 0.993574i | \(0.536104\pi\) | |||||||
\(348\) | −3.47863 | − | 8.86341i | −0.186474 | − | 0.475129i | ||||
\(349\) | 21.8132 | − | 6.72848i | 1.16763 | − | 0.360167i | 0.350471 | − | 0.936574i | \(-0.386022\pi\) |
0.817163 | + | 0.576406i | \(0.195545\pi\) | |||||||
\(350\) | −14.6791 | − | 2.26901i | −0.784630 | − | 0.121284i | ||||
\(351\) | −20.7209 | + | 35.8897i | −1.10600 | + | 1.91565i | ||||
\(352\) | −3.34614 | − | 3.10476i | −0.178350 | − | 0.165484i | ||||
\(353\) | −16.3311 | − | 20.4786i | −0.869217 | − | 1.08996i | −0.995193 | − | 0.0979306i | \(-0.968778\pi\) |
0.125976 | − | 0.992033i | \(-0.459794\pi\) | |||||||
\(354\) | 36.5803 | + | 11.2835i | 1.94422 | + | 0.599712i | ||||
\(355\) | −15.1418 | + | 2.28226i | −0.803645 | + | 0.121130i | ||||
\(356\) | −1.54275 | − | 1.05183i | −0.0817657 | − | 0.0557469i | ||||
\(357\) | −11.0305 | + | 27.7974i | −0.583797 | + | 1.47120i | ||||
\(358\) | −0.0791660 | + | 1.05640i | −0.00418405 | + | 0.0558323i | ||||
\(359\) | 31.4743 | + | 4.74399i | 1.66115 | + | 0.250378i | 0.911454 | − | 0.411403i | \(-0.134961\pi\) |
0.749697 | + | 0.661781i | \(0.230199\pi\) | |||||||
\(360\) | −10.7112 | + | 9.93851i | −0.564528 | + | 0.523806i | ||||
\(361\) | 0.665589 | + | 2.91614i | 0.0350310 | + | 0.153481i | ||||
\(362\) | −0.528976 | − | 7.05870i | −0.0278024 | − | 0.370997i | ||||
\(363\) | 26.1717 | + | 3.94474i | 1.37366 | + | 0.207045i | ||||
\(364\) | −5.20361 | + | 8.93514i | −0.272743 | + | 0.468329i | ||||
\(365\) | −1.73270 | − | 0.834422i | −0.0906934 | − | 0.0436756i | ||||
\(366\) | −4.44579 | + | 3.03109i | −0.232385 | + | 0.158438i | ||||
\(367\) | −9.08228 | + | 1.36893i | −0.474091 | + | 0.0714577i | −0.381742 | − | 0.924269i | \(-0.624676\pi\) |
−0.0923492 | + | 0.995727i | \(0.529438\pi\) | |||||||
\(368\) | 10.0458 | + | 25.5963i | 0.523674 | + | 1.33430i | ||||
\(369\) | −2.65245 | − | 35.3945i | −0.138081 | − | 1.84256i | ||||
\(370\) | 0.649864 | + | 0.200457i | 0.0337848 | + | 0.0104212i | ||||
\(371\) | −2.12402 | − | 29.8490i | −0.110273 | − | 1.54968i | ||||
\(372\) | 3.78228 | + | 9.63710i | 0.196102 | + | 0.499660i | ||||
\(373\) | 10.1708 | + | 6.93435i | 0.526625 | + | 0.359047i | 0.797261 | − | 0.603635i | \(-0.206282\pi\) |
−0.270636 | + | 0.962682i | \(0.587234\pi\) | |||||||
\(374\) | −1.90089 | + | 8.32836i | −0.0982929 | + | 0.430649i | ||||
\(375\) | −2.25491 | + | 30.0897i | −0.116443 | + | 1.55382i | ||||
\(376\) | 3.43702 | − | 0.518048i | 0.177251 | − | 0.0267163i | ||||
\(377\) | 24.5784 | − | 22.8054i | 1.26585 | − | 1.17454i | ||||
\(378\) | 14.0089 | + | 24.4762i | 0.720538 | + | 1.25892i | ||||
\(379\) | 3.66229 | − | 16.0455i | 0.188119 | − | 0.824204i | −0.789488 | − | 0.613766i | \(-0.789654\pi\) |
0.977607 | − | 0.210438i | \(-0.0674890\pi\) | |||||||
\(380\) | −1.53759 | − | 2.66318i | −0.0788767 | − | 0.136618i | ||||
\(381\) | 7.94241 | − | 13.7567i | 0.406902 | − | 0.704775i | ||||
\(382\) | −4.57339 | − | 4.24349i | −0.233995 | − | 0.217116i | ||||
\(383\) | −2.91595 | − | 7.42972i | −0.148998 | − | 0.379641i | 0.836815 | − | 0.547485i | \(-0.184415\pi\) |
−0.985814 | + | 0.167844i | \(0.946320\pi\) | |||||||
\(384\) | −2.92895 | − | 39.0842i | −0.149467 | − | 1.99450i | ||||
\(385\) | −0.995474 | + | 4.28707i | −0.0507340 | + | 0.218489i | ||||
\(386\) | 33.1552 | 1.68755 | ||||||||
\(387\) | −7.99637 | + | 33.7355i | −0.406478 | + | 1.71487i | ||||
\(388\) | 2.36802 | + | 4.10154i | 0.120218 | + | 0.208224i | ||||
\(389\) | −20.7057 | − | 14.1169i | −1.04982 | − | 0.715754i | −0.0898765 | − | 0.995953i | \(-0.528647\pi\) |
−0.959942 | + | 0.280199i | \(0.909600\pi\) | |||||||
\(390\) | 32.7145 | + | 15.7545i | 1.65656 | + | 0.797758i | ||||
\(391\) | 13.8617 | − | 17.3821i | 0.701019 | − | 0.879050i | ||||
\(392\) | −7.71222 | − | 13.5931i | −0.389526 | − | 0.686553i | ||||
\(393\) | 23.4001 | + | 40.5301i | 1.18038 | + | 2.04447i | ||||
\(394\) | −6.10248 | − | 10.5698i | −0.307438 | − | 0.532499i | ||||
\(395\) | 3.91189 | − | 1.20666i | 0.196828 | − | 0.0607135i | ||||
\(396\) | 2.75065 | + | 3.44920i | 0.138225 | + | 0.173329i | ||||
\(397\) | −2.07863 | − | 9.10706i | −0.104323 | − | 0.457070i | −0.999925 | − | 0.0122142i | \(-0.996112\pi\) |
0.895602 | − | 0.444856i | \(-0.146745\pi\) | |||||||
\(398\) | 21.6931 | + | 27.2022i | 1.08737 | + | 1.36352i | ||||
\(399\) | 29.1539 | − | 8.87285i | 1.45952 | − | 0.444198i | ||||
\(400\) | −12.3450 | − | 11.4545i | −0.617249 | − | 0.572723i | ||||
\(401\) | −22.1909 | − | 15.1295i | −1.10816 | − | 0.755530i | −0.136200 | − | 0.990681i | \(-0.543489\pi\) |
−0.971959 | + | 0.235152i | \(0.924441\pi\) | |||||||
\(402\) | 36.1197 | − | 45.2927i | 1.80149 | − | 2.25900i | ||||
\(403\) | −26.7238 | + | 24.7961i | −1.33121 | + | 1.23518i | ||||
\(404\) | 2.57566 | − | 2.38986i | 0.128144 | − | 0.118900i | ||||
\(405\) | 3.16291 | − | 2.15644i | 0.157166 | − | 0.107154i | ||||
\(406\) | −4.99351 | − | 22.2636i | −0.247824 | − | 1.10492i | ||||
\(407\) | −0.166619 | + | 0.424538i | −0.00825899 | + | 0.0210436i | ||||
\(408\) | −20.8513 | + | 14.2162i | −1.03229 | + | 0.703807i | ||||
\(409\) | −2.01925 | − | 26.9451i | −0.0998457 | − | 1.33235i | −0.791966 | − | 0.610566i | \(-0.790942\pi\) |
0.692120 | − | 0.721782i | \(-0.256677\pi\) | |||||||
\(410\) | −13.3027 | + | 2.00505i | −0.656972 | + | 0.0990226i | ||||
\(411\) | 33.6773 | − | 42.2300i | 1.66118 | − | 2.08305i | ||||
\(412\) | −3.70048 | + | 2.52294i | −0.182310 | + | 0.124297i | ||||
\(413\) | 19.5444 | + | 9.50281i | 0.961718 | + | 0.467603i | ||||
\(414\) | −10.7845 | − | 47.2501i | −0.530031 | − | 2.32222i | ||||
\(415\) | −16.6431 | − | 2.50854i | −0.816976 | − | 0.123139i | ||||
\(416\) | −19.2621 | + | 9.27616i | −0.944404 | + | 0.454801i | ||||
\(417\) | 5.57711 | − | 24.4349i | 0.273112 | − | 1.19658i | ||||
\(418\) | 7.84279 | − | 3.77689i | 0.383603 | − | 0.184734i | ||||
\(419\) | −21.3299 | − | 26.7468i | −1.04203 | − | 1.30667i | −0.950453 | − | 0.310868i | \(-0.899380\pi\) |
−0.0915784 | − | 0.995798i | \(-0.529191\pi\) | |||||||
\(420\) | 4.84905 | − | 3.27938i | 0.236609 | − | 0.160017i | ||||
\(421\) | −2.65041 | + | 0.399484i | −0.129173 | + | 0.0194697i | −0.213310 | − | 0.976984i | \(-0.568425\pi\) |
0.0841376 | + | 0.996454i | \(0.473186\pi\) | |||||||
\(422\) | 16.2750 | + | 15.1010i | 0.792255 | + | 0.735105i | ||||
\(423\) | −8.23122 | −0.400215 | ||||||||
\(424\) | 12.6260 | − | 21.8689i | 0.613173 | − | 1.06205i | ||||
\(425\) | −3.02990 | + | 13.2749i | −0.146972 | + | 0.643926i | ||||
\(426\) | −35.9462 | + | 45.0751i | −1.74160 | + | 2.18390i | ||||
\(427\) | −2.75712 | + | 1.31501i | −0.133427 | + | 0.0636378i | ||||
\(428\) | 4.18155 | − | 2.01373i | 0.202123 | − | 0.0973373i | ||||
\(429\) | −12.1749 | + | 21.0876i | −0.587812 | + | 1.01812i | ||||
\(430\) | 12.9772 | + | 2.06679i | 0.625818 | + | 0.0996696i | ||||
\(431\) | −3.74154 | − | 6.48053i | −0.180223 | − | 0.312156i | 0.761733 | − | 0.647891i | \(-0.224349\pi\) |
−0.941957 | + | 0.335735i | \(0.891015\pi\) | |||||||
\(432\) | −2.38946 | + | 31.8851i | −0.114963 | + | 1.53407i | ||||
\(433\) | 0.927056 | + | 12.3707i | 0.0445515 | + | 0.594498i | 0.974147 | + | 0.225916i | \(0.0725376\pi\) |
−0.929595 | + | 0.368582i | \(0.879843\pi\) | |||||||
\(434\) | 5.42939 | + | 24.2070i | 0.260619 | + | 1.16197i | ||||
\(435\) | −18.1387 | + | 5.59505i | −0.869684 | + | 0.268262i | ||||
\(436\) | 7.74328 | 0.370836 | ||||||||
\(437\) | −22.6549 | −1.08373 | ||||||||
\(438\) | −6.91901 | + | 2.13423i | −0.330603 | + | 0.101978i | ||||
\(439\) | 10.0888 | − | 25.7058i | 0.481512 | − | 1.22687i | −0.459403 | − | 0.888228i | \(-0.651936\pi\) |
0.940915 | − | 0.338644i | \(-0.109968\pi\) | |||||||
\(440\) | −2.72250 | + | 2.52612i | −0.129790 | + | 0.120428i | ||||
\(441\) | 13.2618 | + | 34.5525i | 0.631514 | + | 1.64536i | ||||
\(442\) | 33.0582 | + | 22.5387i | 1.57242 | + | 1.07206i | ||||
\(443\) | −16.4455 | + | 5.07277i | −0.781350 | + | 0.241015i | −0.659671 | − | 0.751555i | \(-0.729304\pi\) |
−0.121680 | + | 0.992569i | \(0.538828\pi\) | |||||||
\(444\) | 0.546529 | − | 0.263194i | 0.0259371 | − | 0.0124907i | ||||
\(445\) | −2.32088 | + | 2.91029i | −0.110020 | + | 0.137961i | ||||
\(446\) | −33.2019 | − | 10.2414i | −1.57215 | − | 0.484945i | ||||
\(447\) | −15.9818 | − | 4.92975i | −0.755915 | − | 0.233169i | ||||
\(448\) | 0.874908 | − | 11.1138i | 0.0413355 | − | 0.525078i | ||||
\(449\) | 4.86660 | + | 0.733522i | 0.229669 | + | 0.0346170i | 0.262868 | − | 0.964832i | \(-0.415332\pi\) |
−0.0331993 | + | 0.999449i | \(0.510570\pi\) | |||||||
\(450\) | 18.5067 | + | 23.2067i | 0.872414 | + | 1.09397i | ||||
\(451\) | −0.674185 | − | 8.99638i | −0.0317461 | − | 0.423623i | ||||
\(452\) | −0.277055 | − | 3.69704i | −0.0130316 | − | 0.173894i | ||||
\(453\) | 34.9433 | + | 43.8176i | 1.64178 | + | 2.05873i | ||||
\(454\) | 7.99722 | + | 1.20539i | 0.375328 | + | 0.0565716i | ||||
\(455\) | 16.9878 | + | 11.6759i | 0.796401 | + | 0.547376i | ||||
\(456\) | 24.5734 | + | 7.57990i | 1.15076 | + | 0.354961i | ||||
\(457\) | 10.7613 | + | 3.31942i | 0.503392 | + | 0.155276i | 0.536042 | − | 0.844191i | \(-0.319919\pi\) |
−0.0326507 | + | 0.999467i | \(0.510395\pi\) | |||||||
\(458\) | −9.06820 | + | 11.3712i | −0.423729 | + | 0.531339i | ||||
\(459\) | 23.2925 | − | 11.2171i | 1.08720 | − | 0.523568i | ||||
\(460\) | −4.15849 | + | 1.28272i | −0.193891 | + | 0.0598073i | ||||
\(461\) | −2.55149 | − | 1.73958i | −0.118835 | − | 0.0810203i | 0.502444 | − | 0.864610i | \(-0.332434\pi\) |
−0.621279 | + | 0.783589i | \(0.713387\pi\) | |||||||
\(462\) | 8.23116 | + | 14.3814i | 0.382948 | + | 0.669084i | ||||
\(463\) | −18.0695 | + | 16.7660i | −0.839760 | + | 0.779183i | −0.977422 | − | 0.211296i | \(-0.932232\pi\) |
0.137662 | + | 0.990479i | \(0.456041\pi\) | |||||||
\(464\) | 9.45108 | − | 24.0810i | 0.438755 | − | 1.11793i | ||||
\(465\) | 19.7220 | − | 6.08344i | 0.914587 | − | 0.282113i | ||||
\(466\) | 16.8087 | 0.778647 | ||||||||
\(467\) | 0.977305 | 0.0452243 | 0.0226121 | − | 0.999744i | \(-0.492802\pi\) | ||||
0.0226121 | + | 0.999744i | \(0.492802\pi\) | |||||||
\(468\) | 19.7449 | − | 6.09050i | 0.912709 | − | 0.281533i | ||||
\(469\) | 24.1924 | − | 22.2786i | 1.11710 | − | 1.02873i | ||||
\(470\) | 0.233144 | + | 3.11109i | 0.0107541 | + | 0.143504i | ||||
\(471\) | −1.41672 | + | 18.9048i | −0.0652788 | + | 0.871085i | ||||
\(472\) | 9.16944 | + | 15.8819i | 0.422058 | + | 0.731026i | ||||
\(473\) | −2.03247 | + | 8.57469i | −0.0934532 | + | 0.394265i | ||||
\(474\) | 7.70655 | − | 13.3481i | 0.353974 | − | 0.613101i | ||||
\(475\) | 12.5009 | − | 6.02011i | 0.573580 | − | 0.276222i | ||||
\(476\) | 5.82207 | − | 2.77684i | 0.266854 | − | 0.127276i | ||||
\(477\) | −37.2845 | + | 46.7533i | −1.70714 | + | 2.14069i | ||||
\(478\) | −0.0207279 | + | 0.0908149i | −0.000948073 | + | 0.00415378i | ||||
\(479\) | −4.42455 | + | 7.66355i | −0.202163 | + | 0.350156i | −0.949225 | − | 0.314598i | \(-0.898130\pi\) |
0.747062 | + | 0.664754i | \(0.231464\pi\) | |||||||
\(480\) | 12.1037 | 0.552456 | ||||||||
\(481\) | 1.56584 | + | 1.45288i | 0.0713960 | + | 0.0662458i | ||||
\(482\) | 8.04039 | − | 1.21189i | 0.366230 | − | 0.0552003i | ||||
\(483\) | −3.06101 | − | 43.0167i | −0.139281 | − | 1.95733i | ||||
\(484\) | −3.55930 | − | 4.46322i | −0.161786 | − | 0.202874i | ||||
\(485\) | 8.50664 | − | 4.09658i | 0.386267 | − | 0.186016i | ||||
\(486\) | −3.90854 | + | 17.1244i | −0.177295 | + | 0.776780i | ||||
\(487\) | 22.2189 | − | 10.7000i | 1.00683 | − | 0.484865i | 0.143581 | − | 0.989639i | \(-0.454138\pi\) |
0.863252 | + | 0.504773i | \(0.168424\pi\) | |||||||
\(488\) | −2.54892 | − | 0.384187i | −0.115384 | − | 0.0173913i | ||||
\(489\) | 10.6463 | + | 46.6443i | 0.481440 | + | 2.10933i | ||||
\(490\) | 12.6839 | − | 5.99114i | 0.573001 | − | 0.270652i | ||||
\(491\) | −28.9388 | + | 19.7302i | −1.30599 | + | 0.890410i | −0.998136 | − | 0.0610237i | \(-0.980563\pi\) |
−0.307855 | + | 0.951433i | \(0.599611\pi\) | |||||||
\(492\) | −7.48153 | + | 9.38155i | −0.337294 | + | 0.422953i | ||||
\(493\) | −20.6827 | + | 3.11741i | −0.931502 | + | 0.140401i | ||||
\(494\) | −3.04679 | − | 40.6565i | −0.137081 | − | 1.82922i | ||||
\(495\) | 7.26680 | − | 4.95442i | 0.326618 | − | 0.222685i | ||||
\(496\) | −10.2761 | + | 26.1830i | −0.461409 | + | 1.17565i | ||||
\(497\) | −24.0762 | + | 22.1716i | −1.07997 | + | 0.994531i | ||||
\(498\) | −52.3582 | + | 35.6972i | −2.34623 | + | 1.59963i | ||||
\(499\) | −3.29075 | + | 3.05337i | −0.147314 | + | 0.136688i | −0.750388 | − | 0.660998i | \(-0.770133\pi\) |
0.603073 | + | 0.797686i | \(0.293943\pi\) | |||||||
\(500\) | 4.77083 | − | 4.42668i | 0.213358 | − | 0.197967i | ||||
\(501\) | 15.2380 | − | 19.1079i | 0.680785 | − | 0.853677i | ||||
\(502\) | −19.0071 | − | 12.9588i | −0.848328 | − | 0.578380i | ||||
\(503\) | −1.25941 | − | 1.16856i | −0.0561543 | − | 0.0521036i | 0.651596 | − | 0.758566i | \(-0.274100\pi\) |
−0.707751 | + | 0.706462i | \(0.750290\pi\) | |||||||
\(504\) | −7.06408 | + | 30.4219i | −0.314659 | + | 1.35510i | ||||
\(505\) | −4.36733 | − | 5.47646i | −0.194344 | − | 0.243699i | ||||
\(506\) | −2.74115 | − | 12.0098i | −0.121859 | − | 0.533899i | ||||
\(507\) | 47.7737 | + | 59.9064i | 2.12171 | + | 2.66054i | ||||
\(508\) | −3.27395 | + | 1.00988i | −0.145258 | + | 0.0448062i | ||||
\(509\) | −5.29427 | − | 9.16994i | −0.234664 | − | 0.406451i | 0.724511 | − | 0.689264i | \(-0.242066\pi\) |
−0.959175 | + | 0.282813i | \(0.908732\pi\) | |||||||
\(510\) | −11.3257 | − | 19.6168i | −0.501513 | − | 0.868645i | ||||
\(511\) | −4.06692 | + | 0.597356i | −0.179910 | + | 0.0264255i | ||||
\(512\) | 3.23555 | − | 4.05726i | 0.142993 | − | 0.179307i | ||||
\(513\) | −23.7350 | − | 11.4302i | −1.04793 | − | 0.504655i | ||||
\(514\) | −23.7036 | − | 16.1608i | −1.04552 | − | 0.712824i | ||||
\(515\) | 4.46431 | + | 7.73242i | 0.196721 | + | 0.340731i | ||||
\(516\) | 9.73908 | − | 6.52173i | 0.428739 | − | 0.287103i | ||||
\(517\) | −2.09216 | −0.0920133 | ||||||||
\(518\) | 1.39063 | − | 0.423231i | 0.0611007 | − | 0.0185957i | ||||
\(519\) | −3.25062 | − | 43.3764i | −0.142686 | − | 1.90401i | ||||
\(520\) | 6.35504 | + | 16.1924i | 0.278687 | + | 0.710083i | ||||
\(521\) | −27.3321 | − | 25.3605i | −1.19744 | − | 1.11106i | −0.991174 | − | 0.132568i | \(-0.957678\pi\) |
−0.206268 | − | 0.978496i | \(-0.566132\pi\) | |||||||
\(522\) | −22.7980 | + | 39.4873i | −0.997841 | + | 1.72831i | ||||
\(523\) | −21.6337 | − | 37.4707i | −0.945977 | − | 1.63848i | −0.753783 | − | 0.657123i | \(-0.771773\pi\) |
−0.192194 | − | 0.981357i | \(-0.561560\pi\) | |||||||
\(524\) | 2.24618 | − | 9.84115i | 0.0981247 | − | 0.429912i | ||||
\(525\) | 13.1199 | + | 22.9231i | 0.572601 | + | 1.00044i | ||||
\(526\) | 13.2429 | − | 12.2877i | 0.577420 | − | 0.535767i | ||||
\(527\) | 22.4881 | − | 3.38954i | 0.979597 | − | 0.147650i | ||||
\(528\) | −1.40397 | + | 18.7347i | −0.0610999 | + | 0.815321i | ||||
\(529\) | −2.01604 | + | 8.83286i | −0.0876541 | + | 0.384038i | ||||
\(530\) | 18.7271 | + | 12.7679i | 0.813452 | + | 0.554602i | ||||
\(531\) | −15.8663 | − | 40.4266i | −0.688538 | − | 1.75437i | ||||
\(532\) | −5.91123 | − | 2.87413i | −0.256284 | − | 0.124609i | ||||
\(533\) | −40.3769 | − | 12.4546i | −1.74892 | − | 0.539470i | ||||
\(534\) | 1.04734 | + | 13.9757i | 0.0453227 | + | 0.604789i | ||||
\(535\) | −3.38032 | − | 8.61293i | −0.146144 | − | 0.372369i | ||||
\(536\) | 27.4427 | − | 4.13632i | 1.18534 | − | 0.178662i | ||||
\(537\) | 1.55641 | − | 1.06115i | 0.0671642 | − | 0.0457918i | ||||
\(538\) | 2.50601 | + | 1.20683i | 0.108042 | + | 0.0520302i | ||||
\(539\) | 3.37081 | + | 8.78235i | 0.145191 | + | 0.378283i | ||||
\(540\) | −5.00393 | − | 0.754221i | −0.215335 | − | 0.0324565i | ||||
\(541\) | 0.446798 | + | 5.96210i | 0.0192093 | + | 0.256331i | 0.998538 | + | 0.0540550i | \(0.0172146\pi\) |
−0.979329 | + | 0.202276i | \(0.935166\pi\) | |||||||
\(542\) | 10.1521 | + | 44.4791i | 0.436069 | + | 1.91054i | ||||
\(543\) | −9.22682 | + | 8.56124i | −0.395961 | + | 0.367398i | ||||
\(544\) | 13.1881 | + | 1.98779i | 0.565437 | + | 0.0852259i | ||||
\(545\) | 1.15359 | − | 15.3936i | 0.0494145 | − | 0.659391i | ||||
\(546\) | 76.7862 | − | 11.2785i | 3.28615 | − | 0.482674i | ||||
\(547\) | 19.1464 | + | 13.0538i | 0.818642 | + | 0.558141i | 0.898657 | − | 0.438653i | \(-0.144544\pi\) |
−0.0800143 | + | 0.996794i | \(0.525497\pi\) | |||||||
\(548\) | −11.5201 | + | 1.73637i | −0.492114 | + | 0.0741742i | ||||
\(549\) | 5.83312 | + | 1.79928i | 0.248952 | + | 0.0767914i | ||||
\(550\) | 4.70393 | + | 5.89854i | 0.200576 | + | 0.251515i | ||||
\(551\) | 15.6240 | + | 14.4970i | 0.665607 | + | 0.617593i | ||||
\(552\) | 18.1959 | − | 31.5162i | 0.774469 | − | 1.34142i | ||||
\(553\) | 5.48125 | − | 6.82050i | 0.233087 | − | 0.290037i | ||||
\(554\) | −22.3315 | + | 6.88835i | −0.948774 | + | 0.292658i | ||||
\(555\) | −0.441809 | − | 1.12571i | −0.0187537 | − | 0.0477837i | ||||
\(556\) | −4.46652 | + | 3.04522i | −0.189423 | + | 0.129146i | ||||
\(557\) | 3.60176 | + | 2.45564i | 0.152612 | + | 0.104049i | 0.637218 | − | 0.770683i | \(-0.280085\pi\) |
−0.484607 | + | 0.874732i | \(0.661037\pi\) | |||||||
\(558\) | 24.7881 | − | 42.9342i | 1.04936 | − | 1.81755i | ||||
\(559\) | 33.9070 | + | 23.5338i | 1.43411 | + | 0.995376i | ||||
\(560\) | 15.7176 | + | 2.42954i | 0.664192 | + | 0.102667i | ||||
\(561\) | 13.6859 | − | 6.59079i | 0.577820 | − | 0.278263i | ||||
\(562\) | 14.1176 | + | 6.79867i | 0.595514 | + | 0.286784i | ||||
\(563\) | −27.8211 | − | 4.19336i | −1.17252 | − | 0.176729i | −0.466238 | − | 0.884659i | \(-0.654391\pi\) |
−0.706283 | + | 0.707930i | \(0.749629\pi\) | |||||||
\(564\) | 2.03990 | + | 1.89275i | 0.0858951 | + | 0.0796990i | ||||
\(565\) | −7.39098 | −0.310941 | ||||||||
\(566\) | −10.5425 | + | 18.2601i | −0.443134 | + | 0.767531i | ||||
\(567\) | 3.01791 | − | 7.60528i | 0.126740 | − | 0.319392i | ||||
\(568\) | −27.3109 | + | 4.11645i | −1.14594 | + | 0.172723i | ||||
\(569\) | 4.11282 | + | 18.0194i | 0.172418 | + | 0.755414i | 0.984998 | + | 0.172564i | \(0.0552052\pi\) |
−0.812580 | + | 0.582850i | \(0.801938\pi\) | |||||||
\(570\) | −8.43274 | + | 21.4863i | −0.353209 | + | 0.899961i | ||||
\(571\) | −0.917183 | + | 12.2390i | −0.0383829 | + | 0.512184i | 0.944568 | + | 0.328316i | \(0.106481\pi\) |
−0.982951 | + | 0.183868i | \(0.941138\pi\) | |||||||
\(572\) | 5.01865 | − | 1.54805i | 0.209840 | − | 0.0647272i | ||||
\(573\) | −0.829041 | + | 11.0628i | −0.0346337 | + | 0.462154i | ||||
\(574\) | −21.1519 | + | 19.4786i | −0.882863 | + | 0.813020i | ||||
\(575\) | −4.36922 | − | 19.1428i | −0.182209 | − | 0.798310i | ||||
\(576\) | −16.3310 | + | 15.1529i | −0.680458 | + | 0.631373i | ||||
\(577\) | −19.5994 | − | 9.43859i | −0.815935 | − | 0.392934i | −0.0211138 | − | 0.999777i | \(-0.506721\pi\) |
−0.794821 | + | 0.606843i | \(0.792436\pi\) | |||||||
\(578\) | 0.935990 | + | 2.38486i | 0.0389320 | + | 0.0991972i | ||||
\(579\) | −36.7585 | − | 46.0937i | −1.52763 | − | 1.91559i | ||||
\(580\) | 3.68874 | + | 1.77640i | 0.153167 | + | 0.0737612i | ||||
\(581\) | −32.4707 | + | 15.4869i | −1.34711 | + | 0.642505i | ||||
\(582\) | 12.9872 | − | 33.0908i | 0.538336 | − | 1.37166i | ||||
\(583\) | −9.47678 | + | 11.8835i | −0.392488 | + | 0.492164i | ||||
\(584\) | −3.12521 | − | 1.50502i | −0.129322 | − | 0.0622783i | ||||
\(585\) | −9.16631 | − | 40.1602i | −0.378980 | − | 1.66042i | ||||
\(586\) | −29.2003 | − | 9.00709i | −1.20625 | − | 0.372079i | ||||
\(587\) | −15.7041 | − | 40.0133i | −0.648176 | − | 1.65152i | −0.753789 | − | 0.657117i | \(-0.771776\pi\) |
0.105613 | − | 0.994407i | \(-0.466320\pi\) | |||||||
\(588\) | 4.65865 | − | 11.6125i | 0.192120 | − | 0.478890i | ||||
\(589\) | −16.9879 | − | 15.7624i | −0.699973 | − | 0.649480i | ||||
\(590\) | −14.8303 | + | 7.14192i | −0.610556 | + | 0.294028i | ||||
\(591\) | −7.92887 | + | 20.2024i | −0.326150 | + | 0.831017i | ||||
\(592\) | 1.57485 | + | 0.485778i | 0.0647261 | + | 0.0199654i | ||||
\(593\) | 12.9050 | − | 32.8814i | 0.529945 | − | 1.35028i | −0.375896 | − | 0.926662i | \(-0.622665\pi\) |
0.905842 | − | 0.423617i | \(-0.139240\pi\) | |||||||
\(594\) | 3.18750 | − | 13.9654i | 0.130785 | − | 0.573005i | ||||
\(595\) | −4.65297 | − | 11.9880i | −0.190753 | − | 0.491458i | ||||
\(596\) | 1.80368 | + | 3.12406i | 0.0738815 | + | 0.127967i | ||||
\(597\) | 13.7670 | − | 60.3171i | 0.563445 | − | 2.46862i | ||||
\(598\) | −57.0519 | − | 8.59919i | −2.33303 | − | 0.351647i | ||||
\(599\) | 21.9387 | − | 14.9575i | 0.896390 | − | 0.611149i | −0.0250424 | − | 0.999686i | \(-0.507972\pi\) |
0.921433 | + | 0.388538i | \(0.127020\pi\) | |||||||
\(600\) | −1.66559 | + | 22.2257i | −0.0679974 | + | 0.907362i | ||||
\(601\) | −6.73709 | −0.274812 | −0.137406 | − | 0.990515i | \(-0.543876\pi\) | ||||
−0.137406 | + | 0.990515i | \(0.543876\pi\) | |||||||
\(602\) | 25.4513 | − | 11.8796i | 1.03732 | − | 0.484175i | ||||
\(603\) | −65.7217 | −2.67639 | ||||||||
\(604\) | 0.903351 | − | 12.0544i | 0.0367568 | − | 0.490486i | ||||
\(605\) | −9.40314 | + | 6.41095i | −0.382292 | + | 0.260642i | ||||
\(606\) | −26.0781 | − | 3.93064i | −1.05935 | − | 0.159671i | ||||
\(607\) | −5.98544 | + | 26.2239i | −0.242941 | + | 1.06440i | 0.695383 | + | 0.718639i | \(0.255235\pi\) |
−0.938324 | + | 0.345756i | \(0.887622\pi\) | |||||||
\(608\) | −6.79524 | − | 11.7697i | −0.275583 | − | 0.477325i | ||||
\(609\) | −25.4156 | + | 31.6254i | −1.02989 | + | 1.28153i | ||||
\(610\) | 0.514841 | − | 2.25566i | 0.0208453 | − | 0.0913292i | ||||
\(611\) | −3.57998 | + | 9.12163i | −0.144830 | + | 0.369022i | ||||
\(612\) | −12.3175 | − | 3.79944i | −0.497905 | − | 0.153583i | ||||
\(613\) | 7.49342 | − | 19.0929i | 0.302656 | − | 0.771155i | −0.695936 | − | 0.718104i | \(-0.745010\pi\) |
0.998592 | − | 0.0530512i | \(-0.0168947\pi\) | |||||||
\(614\) | −45.8277 | + | 22.0695i | −1.84945 | + | 0.890651i | ||||
\(615\) | 17.5359 | + | 16.2709i | 0.707116 | + | 0.656108i | ||||
\(616\) | −1.79551 | + | 7.73247i | −0.0723431 | + | 0.311550i | ||||
\(617\) | −10.0178 | − | 25.5250i | −0.403302 | − | 1.02760i | −0.977884 | − | 0.209150i | \(-0.932930\pi\) |
0.574581 | − | 0.818448i | \(-0.305165\pi\) | |||||||
\(618\) | 32.1230 | + | 9.90864i | 1.29218 | + | 0.398584i | ||||
\(619\) | 2.58887 | + | 11.3426i | 0.104056 | + | 0.455898i | 0.999933 | + | 0.0115957i | \(0.00369111\pi\) |
−0.895877 | + | 0.444302i | \(0.853452\pi\) | |||||||
\(620\) | −4.01073 | − | 1.93147i | −0.161075 | − | 0.0775696i | ||||
\(621\) | −23.2440 | + | 29.1470i | −0.932749 | + | 1.16963i | ||||
\(622\) | −11.1567 | + | 28.4269i | −0.447345 | + | 1.13982i | ||||
\(623\) | −0.624409 | + | 7.93176i | −0.0250164 | + | 0.317779i | ||||
\(624\) | 79.2789 | + | 38.1787i | 3.17369 | + | 1.52837i | ||||
\(625\) | 2.72113 | + | 3.41219i | 0.108845 | + | 0.136487i | ||||
\(626\) | 4.28179 | + | 10.9098i | 0.171135 | + | 0.436045i | ||||
\(627\) | −13.9459 | − | 6.71600i | −0.556946 | − | 0.268211i | ||||
\(628\) | 2.99742 | − | 2.78120i | 0.119610 | − | 0.110982i | ||||
\(629\) | −0.296517 | − | 1.29913i | −0.0118229 | − | 0.0517995i | ||||
\(630\) | −26.7556 | − | 8.36335i | −1.06597 | − | 0.333204i | ||||
\(631\) | 3.19238 | − | 42.5994i | 0.127087 | − | 1.69586i | −0.461275 | − | 0.887257i | \(-0.652608\pi\) |
0.588362 | − | 0.808598i | \(-0.299773\pi\) | |||||||
\(632\) | 7.05576 | − | 2.17641i | 0.280663 | − | 0.0865731i | ||||
\(633\) | 2.95025 | − | 39.3683i | 0.117262 | − | 1.56475i | ||||
\(634\) | 13.3657 | − | 34.0553i | 0.530821 | − | 1.35251i | ||||
\(635\) | 1.51989 | + | 6.65906i | 0.0603149 | + | 0.264257i | ||||
\(636\) | 19.9908 | − | 3.01313i | 0.792688 | − | 0.119478i | ||||
\(637\) | 44.0581 | + | 0.331396i | 1.74565 | + | 0.0131304i | ||||
\(638\) | −5.79467 | + | 10.0367i | −0.229413 | + | 0.397355i | ||||
\(639\) | 65.4060 | 2.58742 | ||||||||
\(640\) | 12.3541 | + | 11.4629i | 0.488337 | + | 0.453111i | ||||
\(641\) | −24.4263 | − | 3.68168i | −0.964782 | − | 0.145418i | −0.352287 | − | 0.935892i | \(-0.614596\pi\) |
−0.612495 | + | 0.790474i | \(0.709834\pi\) | |||||||
\(642\) | −31.3861 | − | 15.1148i | −1.23871 | − | 0.596532i | ||||
\(643\) | −7.99888 | + | 3.85206i | −0.315445 | + | 0.151910i | −0.584906 | − | 0.811101i | \(-0.698869\pi\) |
0.269461 | + | 0.963011i | \(0.413154\pi\) | |||||||
\(644\) | −5.82679 | + | 7.25046i | −0.229608 | + | 0.285708i | ||||
\(645\) | −11.5143 | − | 20.3329i | −0.453374 | − | 0.800607i | ||||
\(646\) | −12.7170 | + | 22.0264i | −0.500342 | + | 0.866618i | ||||
\(647\) | 17.1456 | + | 11.6897i | 0.674065 | + | 0.459569i | 0.851356 | − | 0.524589i | \(-0.175781\pi\) |
−0.177291 | + | 0.984158i | \(0.556733\pi\) | |||||||
\(648\) | 5.70485 | − | 3.88950i | 0.224108 | − | 0.152794i | ||||
\(649\) | −4.03280 | − | 10.2754i | −0.158301 | − | 0.403345i | ||||
\(650\) | 33.7661 | − | 10.4155i | 1.32442 | − | 0.408528i | ||||
\(651\) | 27.6341 | − | 34.3860i | 1.08307 | − | 1.34769i | ||||
\(652\) | 5.15967 | − | 8.93681i | 0.202068 | − | 0.349992i | ||||
\(653\) | 6.44347 | + | 5.97866i | 0.252152 | + | 0.233963i | 0.796114 | − | 0.605147i | \(-0.206886\pi\) |
−0.543961 | + | 0.839110i | \(0.683076\pi\) | |||||||
\(654\) | −36.2372 | − | 45.4400i | −1.41699 | − | 1.77684i | ||||
\(655\) | −19.2296 | − | 5.93153i | −0.751361 | − | 0.231764i | ||||
\(656\) | −32.2371 | + | 4.85896i | −1.25865 | + | 0.189711i | ||||
\(657\) | 6.78702 | + | 4.62731i | 0.264787 | + | 0.180529i | ||||
\(658\) | 4.13800 | + | 5.22911i | 0.161316 | + | 0.203852i | ||||
\(659\) | −1.12148 | + | 14.9651i | −0.0436867 | + | 0.582959i | 0.931810 | + | 0.362946i | \(0.118229\pi\) |
−0.975497 | + | 0.220013i | \(0.929390\pi\) | |||||||
\(660\) | −2.94015 | − | 0.443156i | −0.114445 | − | 0.0172498i | ||||
\(661\) | 24.5286 | − | 22.7592i | 0.954053 | − | 0.885231i | −0.0394292 | − | 0.999222i | \(-0.512554\pi\) |
0.993482 | + | 0.113991i | \(0.0363635\pi\) | |||||||
\(662\) | −5.15641 | − | 22.5917i | −0.200410 | − | 0.878052i | ||||
\(663\) | −5.31674 | − | 70.9469i | −0.206485 | − | 2.75535i | ||||
\(664\) | −30.0186 | − | 4.52458i | −1.16495 | − | 0.175588i | ||||
\(665\) | −6.59443 | + | 11.3233i | −0.255721 | + | 0.439100i | ||||
\(666\) | −2.61716 | − | 1.26036i | −0.101413 | − | 0.0488378i | ||||
\(667\) | 24.9210 | − | 16.9909i | 0.964946 | − | 0.657889i | ||||
\(668\) | −5.21251 | + | 0.785660i | −0.201678 | + | 0.0303981i | ||||
\(669\) | 22.5722 | + | 57.5130i | 0.872691 | + | 2.22358i | ||||
\(670\) | 1.86153 | + | 24.8403i | 0.0719170 | + | 0.959666i | ||||
\(671\) | 1.48263 | + | 0.457331i | 0.0572363 | + | 0.0176551i | ||||
\(672\) | 21.4299 | − | 14.4929i | 0.826678 | − | 0.559077i | ||||
\(673\) | −9.99749 | − | 25.4732i | −0.385375 | − | 0.981920i | −0.983563 | − | 0.180564i | \(-0.942208\pi\) |
0.598188 | − | 0.801356i | \(-0.295888\pi\) | |||||||
\(674\) | −13.2930 | − | 9.06301i | −0.512027 | − | 0.349094i | ||||
\(675\) | 5.08067 | − | 22.2599i | 0.195555 | − | 0.856783i | ||||
\(676\) | 1.23504 | − | 16.4805i | 0.0475016 | − | 0.633864i | ||||
\(677\) | 30.3949 | − | 4.58130i | 1.16817 | − | 0.176074i | 0.463823 | − | 0.885928i | \(-0.346477\pi\) |
0.704349 | + | 0.709854i | \(0.251239\pi\) | |||||||
\(678\) | −20.3988 | + | 18.9273i | −0.783411 | + | 0.726900i | ||||
\(679\) | 10.1560 | − | 17.4389i | 0.389752 | − | 0.669245i | ||||
\(680\) | 2.41467 | − | 10.5794i | 0.0925983 | − | 0.405700i | ||||
\(681\) | −7.19058 | − | 12.4544i | −0.275543 | − | 0.477255i | ||||
\(682\) | 6.30049 | − | 10.9128i | 0.241258 | − | 0.417871i | ||||
\(683\) | 30.3870 | + | 28.1950i | 1.16273 | + | 1.07885i | 0.995675 | + | 0.0929033i | \(0.0296147\pi\) |
0.167050 | + | 0.985948i | \(0.446576\pi\) | |||||||
\(684\) | 4.79877 | + | 12.2271i | 0.183486 | + | 0.467514i | ||||
\(685\) | 1.73565 | + | 23.1606i | 0.0663157 | + | 0.884921i | ||||
\(686\) | 15.2834 | − | 25.7951i | 0.583524 | − | 0.984863i | ||||
\(687\) | 25.8624 | 0.986711 | ||||||||
\(688\) | 31.4485 | + | 5.00858i | 1.19896 | + | 0.190950i | ||||
\(689\) | 35.5949 | + | 61.6521i | 1.35606 | + | 2.34876i | ||||
\(690\) | 26.9884 | + | 18.4004i | 1.02743 | + | 0.700491i | ||||
\(691\) | 8.16344 | + | 3.93130i | 0.310552 | + | 0.149554i | 0.582667 | − | 0.812711i | \(-0.302009\pi\) |
−0.272116 | + | 0.962265i | \(0.587723\pi\) | |||||||
\(692\) | −5.84959 | + | 7.33515i | −0.222368 | + | 0.278841i | ||||
\(693\) | 6.93366 | − | 17.4732i | 0.263388 | − | 0.663751i | ||||
\(694\) | −19.6991 | − | 34.1199i | −0.747769 | − | 1.29517i | ||||
\(695\) | 5.38848 | + | 9.33312i | 0.204397 | + | 0.354026i | ||||
\(696\) | −32.7163 | + | 10.0916i | −1.24011 | + | 0.382522i | ||||
\(697\) | 16.4348 | + | 20.6086i | 0.622514 | + | 0.780608i | ||||
\(698\) | 8.22342 | + | 36.0292i | 0.311261 | + | 1.36372i | ||||
\(699\) | −18.6354 | − | 23.3681i | −0.704857 | − | 0.883862i | ||||
\(700\) | 1.28853 | − | 5.54914i | 0.0487018 | − | 0.209738i | ||||
\(701\) | 17.3238 | + | 16.0741i | 0.654311 | + | 0.607112i | 0.935833 | − | 0.352443i | \(-0.114649\pi\) |
−0.281523 | + | 0.959555i | \(0.590839\pi\) | |||||||
\(702\) | −55.4333 | − | 37.7938i | −2.09220 | − | 1.42644i | ||||
\(703\) | −0.846606 | + | 1.06161i | −0.0319304 | + | 0.0400394i | ||||
\(704\) | −4.15092 | + | 3.85149i | −0.156444 | + | 0.145158i | ||||
\(705\) | 4.06668 | − | 3.77333i | 0.153160 | − | 0.142112i | ||||
\(706\) | 35.0363 | − | 23.8873i | 1.31861 | − | 0.899012i | ||||
\(707\) | −14.2900 | − | 4.46679i | −0.537429 | − | 0.167991i | ||||
\(708\) | −5.36395 | + | 13.6671i | −0.201589 | + | 0.513642i | ||||
\(709\) | −8.96481 | + | 6.11210i | −0.336680 | + | 0.229545i | −0.719844 | − | 0.694136i | \(-0.755787\pi\) |
0.383164 | + | 0.923680i | \(0.374834\pi\) | |||||||
\(710\) | −1.85258 | − | 24.7210i | −0.0695262 | − | 0.927763i | ||||
\(711\) | −17.2904 | + | 2.60611i | −0.648442 | + | 0.0977368i | ||||
\(712\) | −4.18610 | + | 5.24921i | −0.156881 | + | 0.196722i | ||||
\(713\) | −27.0964 | + | 18.4740i | −1.01477 | + | 0.691857i | ||||
\(714\) | −43.5416 | − | 21.1706i | −1.62950 | − | 0.792290i | ||||
\(715\) | −2.32984 | − | 10.2077i | −0.0871311 | − | 0.381746i | ||||
\(716\) | −0.401761 | − | 0.0605557i | −0.0150145 | − | 0.00226307i | ||||
\(717\) | 0.149235 | − | 0.0718679i | 0.00557329 | − | 0.00268396i | ||||
\(718\) | −11.4665 | + | 50.2381i | −0.427926 | + | 1.87487i | ||||
\(719\) | 13.8269 | − | 6.65868i | 0.515656 | − | 0.248327i | −0.157911 | − | 0.987453i | \(-0.550476\pi\) |
0.673566 | + | 0.739127i | \(0.264762\pi\) | |||||||
\(720\) | −19.8161 | − | 24.8486i | −0.738501 | − | 0.926051i | ||||
\(721\) | 17.1630 | + | 8.34491i | 0.639182 | + | 0.310781i | ||||
\(722\) | −4.78832 | + | 0.721724i | −0.178203 | + | 0.0268598i | ||||
\(723\) | −10.5990 | − | 9.83448i | −0.394183 | − | 0.365748i | ||||
\(724\) | 2.71483 | 0.100896 | ||||||||
\(725\) | −9.23633 | + | 15.9978i | −0.343029 | + | 0.594143i | ||||
\(726\) | −9.53468 | + | 41.7742i | −0.353865 | + | 1.55038i | ||||
\(727\) | −12.6626 | + | 15.8784i | −0.469629 | + | 0.588896i | −0.959080 | − | 0.283134i | \(-0.908626\pi\) |
0.489451 | + | 0.872031i | \(0.337197\pi\) | |||||||
\(728\) | 30.6405 | + | 21.0595i | 1.13561 | + | 0.780519i | ||||
\(729\) | 36.4994 | − | 17.5772i | 1.35183 | − | 0.651006i | ||||
\(730\) | 1.55671 | − | 2.69631i | 0.0576165 | − | 0.0997948i | ||||
\(731\) | −9.20661 | − | 24.0456i | −0.340519 | − | 0.889358i | ||||
\(732\) | −1.03185 | − | 1.78722i | −0.0381383 | − | 0.0660574i | ||||
\(733\) | 1.19214 | − | 15.9080i | 0.0440327 | − | 0.587576i | −0.930929 | − | 0.365201i | \(-0.881000\pi\) |
0.974961 | − | 0.222375i | \(-0.0713808\pi\) | |||||||
\(734\) | −1.11121 | − | 14.8280i | −0.0410154 | − | 0.547312i | ||||
\(735\) | −22.3915 | − | 10.9914i | −0.825924 | − | 0.405425i | ||||
\(736\) | −18.3781 | + | 5.66889i | −0.677425 | + | 0.208958i | ||||
\(737\) | −16.7048 | −0.615328 | ||||||||
\(738\) | 57.4616 | 2.11519 | ||||||||
\(739\) | 12.9663 | − | 3.99956i | 0.476972 | − | 0.147126i | −0.0469420 | − | 0.998898i | \(-0.514948\pi\) |
0.523914 | + | 0.851771i | \(0.324471\pi\) | |||||||
\(740\) | −0.0952928 | + | 0.242802i | −0.00350303 | + | 0.00892558i | ||||
\(741\) | −53.1445 | + | 49.3108i | −1.95231 | + | 1.81148i | ||||
\(742\) | 48.4450 | + | 0.182194i | 1.77847 | + | 0.00668856i | ||||
\(743\) | 12.1921 | + | 8.31245i | 0.447286 | + | 0.304954i | 0.765934 | − | 0.642919i | \(-0.222277\pi\) |
−0.318649 | + | 0.947873i | \(0.603229\pi\) | |||||||
\(744\) | 35.5721 | − | 10.9725i | 1.30414 | − | 0.402272i | ||||
\(745\) | 6.47935 | − | 3.12029i | 0.237385 | − | 0.114319i | ||||
\(746\) | −12.4253 | + | 15.5808i | −0.454921 | + | 0.570453i | ||||
\(747\) | 68.6968 | + | 21.1902i | 2.51348 | + | 0.775307i | ||||
\(748\) | −3.13079 | − | 0.965720i | −0.114473 | − | 0.0353102i | ||||
\(749\) | −16.2980 | − | 11.2018i | −0.595517 | − | 0.409306i | ||||
\(750\) | −48.3038 | − | 7.28063i | −1.76381 | − | 0.265851i | ||||
\(751\) | 19.4058 | + | 24.3341i | 0.708127 | + | 0.887963i | 0.997601 | − | 0.0692225i | \(-0.0220518\pi\) |
−0.289474 | + | 0.957186i | \(0.593480\pi\) | |||||||
\(752\) | 0.564991 | + | 7.53929i | 0.0206031 | + | 0.274930i | ||||
\(753\) | 3.05691 | + | 40.7916i | 0.111400 | + | 1.48653i | ||||
\(754\) | 33.8434 | + | 42.4383i | 1.23250 | + | 1.54551i | ||||
\(755\) | −23.8295 | − | 3.59172i | −0.867245 | − | 0.130716i | ||||
\(756\) | −9.76269 | + | 4.65632i | −0.355066 | + | 0.169349i | ||||
\(757\) | −24.7844 | − | 7.64498i | −0.900804 | − | 0.277861i | −0.190443 | − | 0.981698i | \(-0.560992\pi\) |
−0.710362 | + | 0.703837i | \(0.751469\pi\) | |||||||
\(758\) | 25.4608 | + | 7.85361i | 0.924777 | + | 0.285256i | ||||
\(759\) | −13.6574 | + | 17.1258i | −0.495732 | + | 0.621629i | ||||
\(760\) | −9.96253 | + | 4.79770i | −0.361379 | + | 0.174031i | ||||
\(761\) | −24.4181 | + | 7.53200i | −0.885157 | + | 0.273035i | −0.703813 | − | 0.710385i | \(-0.748521\pi\) |
−0.181343 | + | 0.983420i | \(0.558045\pi\) | |||||||
\(762\) | 21.2478 | + | 14.4865i | 0.769726 | + | 0.524791i | ||||
\(763\) | −16.3898 | − | 28.6361i | −0.593351 | − | 1.03670i | ||||
\(764\) | 1.75405 | − | 1.62752i | 0.0634592 | − | 0.0588815i | ||||
\(765\) | −9.38834 | + | 23.9211i | −0.339436 | + | 0.864869i | ||||
\(766\) | 12.3473 | − | 3.80864i | 0.446126 | − | 0.137612i | ||||
\(767\) | −51.7005 | −1.86680 | ||||||||
\(768\) | 39.1918 | 1.41421 | ||||||||
\(769\) | −45.5134 | + | 14.0390i | −1.64125 | + | 0.506260i | −0.971643 | − | 0.236452i | \(-0.924015\pi\) |
−0.669611 | + | 0.742712i | \(0.733539\pi\) | |||||||
\(770\) | −6.80060 | − | 2.12575i | −0.245076 | − | 0.0766067i | ||||
\(771\) | 3.81225 | + | 50.8709i | 0.137295 | + | 1.83207i | ||||
\(772\) | −0.950276 | + | 12.6806i | −0.0342012 | + | 0.456383i | ||||
\(773\) | 3.80021 | + | 6.58215i | 0.136684 | + | 0.236743i | 0.926239 | − | 0.376936i | \(-0.123022\pi\) |
−0.789556 | + | 0.613679i | \(0.789689\pi\) | |||||||
\(774\) | −53.4950 | − | 16.9907i | −1.92284 | − | 0.610718i | ||||
\(775\) | 10.0426 | − | 17.3942i | 0.360740 | − | 0.624820i | ||||
\(776\) | 15.3432 | − | 7.38889i | 0.550788 | − | 0.265246i | ||||
\(777\) | −2.13015 | − | 1.46408i | −0.0764189 | − | 0.0525236i | ||||
\(778\) | 25.2952 | − | 31.7192i | 0.906878 | − | 1.13719i | ||||
\(779\) | 5.97697 | − | 26.1868i | 0.214147 | − | 0.938239i | ||||
\(780\) | −6.96310 | + | 12.0605i | −0.249319 | + | 0.431833i | ||||
\(781\) | 16.6245 | 0.594872 | ||||||||
\(782\) | 26.3845 | + | 24.4813i | 0.943509 | + | 0.875449i | ||||
\(783\) | 34.6816 | − | 5.22742i | 1.23942 | − | 0.186813i | ||||
\(784\) | 30.7376 | − | 14.5187i | 1.09777 | − | 0.518524i | ||||
\(785\) | −5.08247 | − | 6.37322i | −0.181401 | − | 0.227470i | ||||
\(786\) | −68.2626 | + | 32.8736i | −2.43485 | + | 1.17256i | ||||
\(787\) | 6.65725 | − | 29.1673i | 0.237305 | − | 1.03970i | −0.706113 | − | 0.708099i | \(-0.749553\pi\) |
0.943419 | − | 0.331604i | \(-0.107590\pi\) | |||||||
\(788\) | 4.21744 | − | 2.03101i | 0.150240 | − | 0.0723518i | ||||
\(789\) | −31.7650 | − | 4.78780i | −1.13086 | − | 0.170450i | ||||
\(790\) | 1.47475 | + | 6.46132i | 0.0524694 | + | 0.229883i | ||||
\(791\) | −13.0859 | + | 8.84993i | −0.465282 | + | 0.314667i | ||||
\(792\) | 13.1069 | − | 8.93615i | 0.465734 | − | 0.317532i | ||||
\(793\) | 4.53090 | − | 5.68157i | 0.160897 | − | 0.201758i | ||||
\(794\) | 14.9539 | − | 2.25393i | 0.530693 | − | 0.0799891i | ||||
\(795\) | −3.01187 | − | 40.1907i | −0.106820 | − | 1.42542i | ||||
\(796\) | −11.0255 | + | 7.51708i | −0.390790 | + | 0.266436i | ||||
\(797\) | −12.9266 | + | 32.9363i | −0.457882 | + | 1.16666i | 0.496490 | + | 0.868043i | \(0.334622\pi\) |
−0.954372 | + | 0.298622i | \(0.903473\pi\) | |||||||
\(798\) | 10.7972 | + | 48.1394i | 0.382216 | + | 1.70411i | ||||
\(799\) | 5.05073 | − | 3.44353i | 0.178682 | − | 0.121823i | ||||
\(800\) | 8.63456 | − | 8.01170i | 0.305278 | − | 0.283257i | ||||
\(801\) | 11.6552 | − | 10.8144i | 0.411816 | − | 0.382109i | ||||
\(802\) | 27.1097 | − | 33.9944i | 0.957275 | − | 1.20038i | ||||
\(803\) | 1.72509 | + | 1.17614i | 0.0608770 | + | 0.0415052i | ||||
\(804\) | 16.2874 | + | 15.1125i | 0.574414 | + | 0.532978i | ||||
\(805\) | 13.5458 | + | 12.6638i | 0.477428 | + | 0.446341i | ||||
\(806\) | −36.7976 | − | 46.1427i | −1.29614 | − | 1.62531i | ||||
\(807\) | −1.10058 | − | 4.82195i | −0.0387422 | − | 0.169741i | ||||
\(808\) | −7.87722 | − | 9.87773i | −0.277120 | − | 0.347497i | ||||
\(809\) | −23.9039 | + | 7.37338i | −0.840417 | + | 0.259234i | −0.684935 | − | 0.728604i | \(-0.740169\pi\) |
−0.155482 | + | 0.987839i | \(0.549693\pi\) | |||||||
\(810\) | 3.09868 | + | 5.36708i | 0.108877 | + | 0.188580i | ||||
\(811\) | −13.9288 | − | 24.1254i | −0.489107 | − | 0.847159i | 0.510814 | − | 0.859691i | \(-0.329344\pi\) |
−0.999921 | + | 0.0125325i | \(0.996011\pi\) | |||||||
\(812\) | 8.65807 | − | 1.27171i | 0.303839 | − | 0.0446283i | ||||
\(813\) | 50.5813 | − | 63.4269i | 1.77396 | − | 2.22448i | ||||
\(814\) | −0.665215 | − | 0.320350i | −0.0233158 | − | 0.0112283i | ||||
\(815\) | −16.9977 | − | 11.5888i | −0.595403 | − | 0.405939i | ||||
\(816\) | −27.4463 | − | 47.5384i | −0.960814 | − | 1.66418i | ||||
\(817\) | −13.3075 | + | 22.6118i | −0.465570 | + | 0.791086i | ||||
\(818\) | 43.7443 | 1.52948 | ||||||||
\(819\) | −64.3169 | − | 60.1291i | −2.24741 | − | 2.10108i | ||||
\(820\) | −0.385580 | − | 5.14521i | −0.0134651 | − | 0.179679i | ||||
\(821\) | −4.67082 | − | 11.9010i | −0.163013 | − | 0.415349i | 0.825906 | − | 0.563808i | \(-0.190664\pi\) |
−0.988919 | + | 0.148458i | \(0.952569\pi\) | |||||||
\(822\) | 64.1015 | + | 59.4775i | 2.23580 | + | 2.07452i | ||||
\(823\) | −22.1805 | + | 38.4177i | −0.773162 | + | 1.33916i | 0.162659 | + | 0.986682i | \(0.447993\pi\) |
−0.935822 | + | 0.352474i | \(0.885341\pi\) | |||||||
\(824\) | 8.05216 | + | 13.9467i | 0.280510 | + | 0.485858i | ||||
\(825\) | 2.98524 | − | 13.0792i | 0.103933 | − | 0.455359i | ||||
\(826\) | −17.7058 | + | 30.4028i | −0.616064 | + | 1.05785i | ||||
\(827\) | −14.7477 | + | 13.6838i | −0.512826 | + | 0.475833i | −0.893618 | − | 0.448827i | \(-0.851842\pi\) |
0.380792 | + | 0.924661i | \(0.375651\pi\) | |||||||
\(828\) | 18.3804 | − | 2.77040i | 0.638763 | − | 0.0962781i | ||||
\(829\) | 2.42488 | − | 32.3577i | 0.0842195 | − | 1.12383i | −0.781702 | − | 0.623652i | \(-0.785648\pi\) |
0.865922 | − | 0.500179i | \(-0.166733\pi\) | |||||||
\(830\) | 6.06329 | − | 26.5650i | 0.210460 | − | 0.922085i | ||||
\(831\) | 34.3349 | + | 23.4092i | 1.19107 | + | 0.812055i | ||||
\(832\) | 9.68933 | + | 24.6880i | 0.335917 | + | 0.855903i | ||||
\(833\) | −22.5925 | − | 15.6536i | −0.782785 | − | 0.542363i | ||||
\(834\) | 38.7729 | + | 11.9598i | 1.34259 | + | 0.414136i | ||||
\(835\) | 0.785332 | + | 10.4795i | 0.0271775 | + | 0.362659i | ||||
\(836\) | 1.21972 | + | 3.10781i | 0.0421851 | + | 0.107486i | ||||
\(837\) | −37.7090 | + | 5.68372i | −1.30341 | + | 0.196458i | ||||
\(838\) | 45.7604 | − | 31.1989i | 1.58077 | − | 1.07775i | ||||
\(839\) | 50.4335 | + | 24.2875i | 1.74116 | + | 0.838497i | 0.982319 | + | 0.187217i | \(0.0599467\pi\) |
0.758838 | + | 0.651280i | \(0.225768\pi\) | |||||||
\(840\) | −10.4559 | − | 18.2684i | −0.360762 | − | 0.630321i | ||||
\(841\) | 0.616675 | + | 0.0929489i | 0.0212647 | + | 0.00320513i | ||||
\(842\) | −0.324274 | − | 4.32713i | −0.0111752 | − | 0.149123i | ||||
\(843\) | −6.20009 | − | 27.1644i | −0.213542 | − | 0.935591i | ||||
\(844\) | −6.24200 | + | 5.79173i | −0.214859 | + | 0.199360i | ||||
\(845\) | −32.5792 | − | 4.91052i | −1.12076 | − | 0.168927i | ||||
\(846\) | 0.995831 | − | 13.2884i | 0.0342374 | − | 0.456866i | ||||
\(847\) | −8.97207 | + | 22.6101i | −0.308284 | + | 0.776891i | ||||
\(848\) | 45.3824 | + | 30.9412i | 1.55844 | + | 1.06253i | ||||
\(849\) | 37.0742 | − | 5.58804i | 1.27238 | − | 0.191781i | ||||
\(850\) | −21.0643 | − | 6.49749i | −0.722501 | − | 0.222862i | ||||
\(851\) | 1.19807 | + | 1.50233i | 0.0410694 | + | 0.0514994i | ||||
\(852\) | −16.2092 | − | 15.0399i | −0.555318 | − | 0.515260i | ||||
\(853\) | 5.31841 | − | 9.21175i | 0.182099 | − | 0.315404i | −0.760496 | − | 0.649342i | \(-0.775044\pi\) |
0.942595 | + | 0.333938i | \(0.108378\pi\) | |||||||
\(854\) | −1.78938 | − | 4.61018i | −0.0612315 | − | 0.157757i | ||||
\(855\) | 25.0223 | − | 7.71836i | 0.855745 | − | 0.263962i | ||||
\(856\) | −6.09700 | − | 15.5349i | −0.208391 | − | 0.530972i | ||||
\(857\) | −26.6849 | + | 18.1935i | −0.911539 | + | 0.621477i | −0.925632 | − | 0.378424i | \(-0.876466\pi\) |
0.0140934 | + | 0.999901i | \(0.495514\pi\) | |||||||
\(858\) | −32.5708 | − | 22.2064i | −1.11195 | − | 0.758114i | ||||
\(859\) | 4.34457 | − | 7.52502i | 0.148235 | − | 0.256750i | −0.782340 | − | 0.622851i | \(-0.785974\pi\) |
0.930575 | + | 0.366101i | \(0.119307\pi\) | |||||||
\(860\) | −1.16241 | + | 4.90404i | −0.0396380 | + | 0.167227i | ||||
\(861\) | 50.5306 | + | 7.81072i | 1.72208 | + | 0.266189i | ||||
\(862\) | 10.9148 | − | 5.25629i | 0.371760 | − | 0.179030i | ||||
\(863\) | 29.1976 | + | 14.0608i | 0.993896 | + | 0.478635i | 0.858863 | − | 0.512206i | \(-0.171171\pi\) |
0.135034 | + | 0.990841i | \(0.456886\pi\) | |||||||
\(864\) | −22.1144 | − | 3.33321i | −0.752348 | − | 0.113398i | ||||
\(865\) | 13.7108 | + | 12.7218i | 0.466181 | + | 0.432553i | ||||
\(866\) | −20.0834 | −0.682461 | ||||||||
\(867\) | 2.27782 | − | 3.94530i | 0.0773588 | − | 0.133989i | ||||
\(868\) | −9.41384 | + | 1.38272i | −0.319527 | + | 0.0469326i | ||||
\(869\) | −4.39478 | + | 0.662407i | −0.149083 | + | 0.0224706i | ||||
\(870\) | −6.83816 | − | 29.9599i | −0.231835 | − | 1.01574i | ||||
\(871\) | −28.5841 | + | 72.8311i | −0.968536 | + | 2.46779i | ||||
\(872\) | 2.08070 | − | 27.7651i | 0.0704615 | − | 0.940243i | ||||
\(873\) | −38.5366 | + | 11.8870i | −1.30427 | + | 0.402313i | ||||
\(874\) | 2.74084 | − | 36.5740i | 0.0927103 | − | 1.23713i | ||||
\(875\) | −26.4689 | − | 8.27372i | −0.894813 | − | 0.279703i | ||||
\(876\) | −0.617951 | − | 2.70742i | −0.0208786 | − | 0.0914752i | ||||
\(877\) | −15.0200 | + | 13.9365i | −0.507189 | + | 0.470603i | −0.891770 | − | 0.452488i | \(-0.850536\pi\) |
0.384581 | + | 0.923091i | \(0.374346\pi\) | |||||||
\(878\) | 40.2788 | + | 19.3973i | 1.35934 | + | 0.654626i | ||||
\(879\) | 19.8517 | + | 50.5814i | 0.669582 | + | 1.70607i | ||||
\(880\) | −5.03674 | − | 6.31587i | −0.169788 | − | 0.212908i | ||||
\(881\) | 18.7936 | + | 9.05052i | 0.633173 | + | 0.304920i | 0.722802 | − | 0.691055i | \(-0.242854\pi\) |
−0.0896293 | + | 0.995975i | \(0.528568\pi\) | |||||||
\(882\) | −57.3858 | + | 17.2296i | −1.93228 | + | 0.580149i | ||||
\(883\) | 2.70727 | − | 6.89802i | 0.0911070 | − | 0.232137i | −0.878056 | − | 0.478558i | \(-0.841160\pi\) |
0.969163 | + | 0.246422i | \(0.0792548\pi\) | |||||||
\(884\) | −9.56765 | + | 11.9974i | −0.321795 | + | 0.403518i | ||||
\(885\) | 26.3711 | + | 12.6996i | 0.886454 | + | 0.426894i | ||||
\(886\) | −6.19984 | − | 27.1633i | −0.208288 | − | 0.912568i | ||||
\(887\) | −4.32663 | − | 1.33459i | −0.145274 | − | 0.0448111i | 0.221265 | − | 0.975214i | \(-0.428981\pi\) |
−0.366539 | + | 0.930403i | \(0.619457\pi\) | |||||||
\(888\) | −0.796877 | − | 2.03041i | −0.0267415 | − | 0.0681361i | ||||
\(889\) | 10.6645 | + | 9.97014i | 0.357677 | + | 0.334388i | ||||
\(890\) | −4.41757 | − | 4.09891i | −0.148077 | − | 0.137396i | ||||
\(891\) | −3.74442 | + | 1.80322i | −0.125443 | + | 0.0604100i | ||||
\(892\) | 4.86855 | − | 12.4049i | 0.163011 | − | 0.415346i | ||||
\(893\) | −5.95231 | − | 1.83605i | −0.199187 | − | 0.0614409i | ||||
\(894\) | 9.89208 | − | 25.2046i | 0.330841 | − | 0.842968i | ||||
\(895\) | −0.180239 | + | 0.789679i | −0.00602473 | + | 0.0263961i | ||||
\(896\) | 35.5988 | + | 5.50266i | 1.18927 | + | 0.183831i | ||||
\(897\) | 51.2973 | + | 88.8496i | 1.71277 | + | 2.96660i | ||||
\(898\) | −1.77297 | + | 7.76788i | −0.0591647 | + | 0.259217i | ||||
\(899\) | 30.5087 | + | 4.59845i | 1.01752 | + | 0.153367i | ||||
\(900\) | −9.40606 | + | 6.41294i | −0.313535 | + | 0.213765i | ||||
\(901\) | 3.31879 | − | 44.2862i | 0.110565 | − | 1.47539i | ||||
\(902\) | 14.6053 | 0.486303 | ||||||||
\(903\) | −44.7328 | − | 22.2128i | −1.48862 | − | 0.739196i | ||||
\(904\) | −13.3309 | −0.443379 | ||||||||
\(905\) | 0.404456 | − | 5.39709i | 0.0134446 | − | 0.179405i | ||||
\(906\) | −74.9664 | + | 51.1112i | −2.49059 | + | 1.69806i | ||||
\(907\) | 36.5121 | + | 5.50332i | 1.21237 | + | 0.182735i | 0.723935 | − | 0.689868i | \(-0.242331\pi\) |
0.488431 | + | 0.872603i | \(0.337570\pi\) | |||||||
\(908\) | −0.690225 | + | 3.02407i | −0.0229059 | + | 0.100357i | ||||
\(909\) | 14.9595 | + | 25.9106i | 0.496176 | + | 0.859402i | ||||
\(910\) | −20.9048 | + | 26.0125i | −0.692987 | + | 0.862306i | ||||
\(911\) | −0.939273 | + | 4.11523i | −0.0311195 | + | 0.136344i | −0.988101 | − | 0.153805i | \(-0.950847\pi\) |
0.956982 | + | 0.290148i | \(0.0937045\pi\) | |||||||
\(912\) | −20.4355 | + | 52.0689i | −0.676689 | + | 1.72417i | ||||
\(913\) | 17.4610 | + | 5.38600i | 0.577874 | + | 0.178250i | ||||
\(914\) | −6.66078 | + | 16.9714i | −0.220319 | + | 0.561363i | ||||
\(915\) | −3.70671 | + | 1.78506i | −0.122540 | + | 0.0590122i | ||||
\(916\) | −4.08911 | − | 3.79414i | −0.135108 | − | 0.125362i | ||||
\(917\) | −41.1488 | + | 12.5235i | −1.35885 | + | 0.413561i | ||||
\(918\) | 15.2908 | + | 38.9604i | 0.504672 | + | 1.28588i | ||||
\(919\) | −31.0013 | − | 9.56264i | −1.02264 | − | 0.315442i | −0.262312 | − | 0.964983i | \(-0.584485\pi\) |
−0.760327 | + | 0.649541i | \(0.774961\pi\) | |||||||
\(920\) | 3.48203 | + | 15.2558i | 0.114799 | + | 0.502968i | ||||
\(921\) | 81.4901 | + | 39.2435i | 2.68519 | + | 1.29312i | ||||
\(922\) | 3.11705 | − | 3.90866i | 0.102655 | − | 0.128725i | ||||
\(923\) | 28.4468 | − | 72.4813i | 0.936338 | − | 2.38575i | ||||
\(924\) | −5.73624 | + | 2.73590i | −0.188709 | + | 0.0900045i | ||||
\(925\) | −1.06031 | − | 0.510618i | −0.0348627 | − | 0.0167890i | ||||
\(926\) | −24.8809 | − | 31.1997i | −0.817638 | − | 1.02529i | ||||
\(927\) | −13.9330 | − | 35.5007i | −0.457620 | − | 1.16600i | ||||
\(928\) | 16.3021 | + | 7.85066i | 0.535142 | + | 0.257711i | ||||
\(929\) | −18.5973 | + | 17.2558i | −0.610158 | + | 0.566144i | −0.923549 | − | 0.383480i | \(-0.874725\pi\) |
0.313391 | + | 0.949624i | \(0.398535\pi\) | |||||||
\(930\) | 7.43507 | + | 32.5752i | 0.243805 | + | 1.06818i | ||||
\(931\) | 1.88289 | + | 27.9444i | 0.0617092 | + | 0.915841i | ||||
\(932\) | −0.481761 | + | 6.42865i | −0.0157806 | + | 0.210578i | ||||
\(933\) | 51.8895 | − | 16.0058i | 1.69879 | − | 0.524006i | ||||
\(934\) | −0.118237 | + | 1.57776i | −0.00386882 | + | 0.0516258i | ||||
\(935\) | −2.38628 | + | 6.08013i | −0.0780396 | + | 0.198842i | ||||
\(936\) | −16.5330 | − | 72.4359i | −0.540398 | − | 2.36764i | ||||
\(937\) | −1.32116 | + | 0.199133i | −0.0431605 | + | 0.00650540i | −0.170587 | − | 0.985343i | \(-0.554566\pi\) |
0.127427 | + | 0.991848i | \(0.459328\pi\) | |||||||
\(938\) | 33.0396 | + | 41.7515i | 1.07878 | + | 1.36323i | ||||
\(939\) | 10.4202 | − | 18.0482i | 0.340049 | − | 0.588982i | ||||
\(940\) | −1.19655 | −0.0390272 | ||||||||
\(941\) | −10.2117 | − | 9.47512i | −0.332893 | − | 0.308880i | 0.495960 | − | 0.868345i | \(-0.334816\pi\) |
−0.828854 | + | 0.559465i | \(0.811007\pi\) | |||||||
\(942\) | −30.3484 | − | 4.57428i | −0.988803 | − | 0.149038i | ||||
\(943\) | −34.2469 | − | 16.4924i | −1.11523 | − | 0.537068i | ||||
\(944\) | −35.9392 | + | 17.3074i | −1.16972 | + | 0.563309i | ||||
\(945\) | 7.80231 | + | 20.1019i | 0.253809 | + | 0.653916i | ||||
\(946\) | −13.5971 | − | 4.31860i | −0.442078 | − | 0.140410i | ||||
\(947\) | 23.8846 | − | 41.3693i | 0.776145 | − | 1.34432i | −0.158003 | − | 0.987439i | \(-0.550506\pi\) |
0.934149 | − | 0.356884i | \(-0.116161\pi\) | |||||||
\(948\) | 4.88426 | + | 3.33003i | 0.158633 | + | 0.108154i | ||||
\(949\) | 8.07973 | − | 5.50867i | 0.262279 | − | 0.178819i | ||||
\(950\) | 8.20646 | + | 20.9097i | 0.266253 | + | 0.678401i | ||||
\(951\) | −62.1634 | + | 19.1749i | −2.01579 | + | 0.621788i | ||||
\(952\) | −8.39244 | − | 21.6223i | −0.272000 | − | 0.700784i | ||||
\(953\) | −15.1135 | + | 26.1774i | −0.489575 | + | 0.847968i | −0.999928 | − | 0.0119967i | \(-0.996181\pi\) |
0.510353 | + | 0.859965i | \(0.329515\pi\) | |||||||
\(954\) | −70.9676 | − | 65.8483i | −2.29766 | − | 2.13192i | ||||
\(955\) | −2.97419 | − | 3.72951i | −0.0962424 | − | 0.120684i | ||||
\(956\) | −0.0341390 | − | 0.0105305i | −0.00110414 | − | 0.000340581i | ||||
\(957\) | 20.3778 | − | 3.07146i | 0.658721 | − | 0.0992862i | ||||
\(958\) | −11.8367 | − | 8.07013i | −0.382427 | − | 0.260734i | ||||
\(959\) | 30.8054 | + | 38.9282i | 0.994759 | + | 1.25706i | ||||
\(960\) | 1.12206 | − | 14.9728i | 0.0362142 | − | 0.483245i | ||||
\(961\) | −2.51810 | − | 0.379543i | −0.0812292 | − | 0.0122433i | ||||
\(962\) | −2.53497 | + | 2.35211i | −0.0817307 | + | 0.0758350i | ||||
\(963\) | 8.79411 | + | 38.5295i | 0.283386 | + | 1.24160i | ||||
\(964\) | 0.233052 | + | 3.10987i | 0.00750611 | + | 0.100162i | ||||
\(965\) | 25.0674 | + | 3.77830i | 0.806947 | + | 0.121628i | ||||
\(966\) | 69.8163 | + | 0.262568i | 2.24630 | + | 0.00844799i | ||||
\(967\) | 46.3134 | + | 22.3033i | 1.48934 | + | 0.717227i | 0.988905 | − | 0.148549i | \(-0.0474602\pi\) |
0.500432 | + | 0.865776i | \(0.333175\pi\) | |||||||
\(968\) | −16.9602 | + | 11.5633i | −0.545121 | + | 0.371657i | ||||
\(969\) | 44.7210 | − | 6.74061i | 1.43665 | − | 0.216540i | ||||
\(970\) | 5.58435 | + | 14.2287i | 0.179303 | + | 0.456856i | ||||
\(971\) | 0.722066 | + | 9.63530i | 0.0231722 | + | 0.309211i | 0.996732 | + | 0.0807792i | \(0.0257409\pi\) |
−0.973560 | + | 0.228432i | \(0.926640\pi\) | |||||||
\(972\) | −6.43740 | − | 1.98567i | −0.206480 | − | 0.0636906i | ||||
\(973\) | 20.7159 | + | 10.0724i | 0.664121 | + | 0.322906i | ||||
\(974\) | 14.5860 | + | 37.1646i | 0.467366 | + | 1.19083i | ||||
\(975\) | −51.9158 | − | 35.3956i | −1.66264 | − | 1.13357i | ||||
\(976\) | 1.24764 | − | 5.46628i | 0.0399361 | − | 0.174971i | ||||
\(977\) | 3.80067 | − | 50.7164i | 0.121594 | − | 1.62256i | −0.519065 | − | 0.854735i | \(-0.673720\pi\) |
0.640659 | − | 0.767825i | \(-0.278661\pi\) | |||||||
\(978\) | −76.5903 | + | 11.5441i | −2.44909 | + | 0.369141i | ||||
\(979\) | 2.96245 | − | 2.74875i | 0.0946803 | − | 0.0878505i | ||||
\(980\) | 1.92784 | + | 5.02281i | 0.0615825 | + | 0.160448i | ||||
\(981\) | −14.6720 | + | 64.2822i | −0.468441 | + | 2.05237i | ||||
\(982\) | −28.3512 | − | 49.1057i | −0.904723 | − | 1.56703i | ||||
\(983\) | 16.0538 | − | 27.8060i | 0.512036 | − | 0.886873i | −0.487866 | − | 0.872918i | \(-0.662225\pi\) |
0.999903 | − | 0.0139545i | \(-0.00444200\pi\) | |||||||
\(984\) | 31.6290 | + | 29.3474i | 1.00830 | + | 0.935562i | ||||
\(985\) | −3.40934 | − | 8.68684i | −0.108630 | − | 0.276786i | ||||
\(986\) | −2.53050 | − | 33.7672i | −0.0805876 | − | 1.07537i | ||||
\(987\) | 2.68200 | − | 11.5502i | 0.0853691 | − | 0.367647i | ||||
\(988\) | 15.6368 | 0.497474 | ||||||||
\(989\) | 27.0062 | + | 25.4803i | 0.858746 | + | 0.810227i | ||||
\(990\) | 7.11924 | + | 12.3309i | 0.226264 | + | 0.391901i | ||||
\(991\) | −34.7032 | − | 23.6602i | −1.10238 | − | 0.751592i | −0.131541 | − | 0.991311i | \(-0.541993\pi\) |
−0.970842 | + | 0.239718i | \(0.922945\pi\) | |||||||
\(992\) | −17.7251 | − | 8.53595i | −0.562772 | − | 0.271017i | ||||
\(993\) | −25.6911 | + | 32.2156i | −0.815283 | + | 1.02233i | ||||
\(994\) | −32.8809 | − | 41.5509i | −1.04292 | − | 1.31792i | ||||
\(995\) | 13.3014 | + | 23.0386i | 0.421682 | + | 0.730374i | ||||
\(996\) | −12.1521 | − | 21.0481i | −0.385055 | − | 0.666934i | ||||
\(997\) | 32.5774 | − | 10.0488i | 1.03174 | − | 0.318249i | 0.267755 | − | 0.963487i | \(-0.413718\pi\) |
0.763981 | + | 0.645238i | \(0.223242\pi\) | |||||||
\(998\) | −4.53123 | − | 5.68198i | −0.143434 | − | 0.179860i | ||||
\(999\) | 0.497212 | + | 2.17843i | 0.0157311 | + | 0.0689224i |
(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 | 301.2.ba.a.100.7 | yes | 324 | |
7.4 | even | 3 | 301.2.z.a.186.7 | ✓ | 324 | ||
43.40 | even | 21 | 301.2.z.a.212.7 | yes | 324 | ||
301.298 | even | 21 | inner | 301.2.ba.a.298.7 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
301.2.z.a.186.7 | ✓ | 324 | 7.4 | even | 3 | ||
301.2.z.a.212.7 | yes | 324 | 43.40 | even | 21 | ||
301.2.ba.a.100.7 | yes | 324 | 1.1 | even | 1 | trivial | |
301.2.ba.a.298.7 | yes | 324 | 301.298 | even | 21 | inner |