Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(929,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.929");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.e (of order \(2\), degree \(1\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 929.18 | ||
Character | \(\chi\) | \(=\) | 930.929 |
Dual form | 930.2.e.a.929.17 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0.230519 | + | 1.71664i | 0.133090 | + | 0.991104i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.286520 | − | 2.21764i | −0.128136 | − | 0.991757i | ||||
\(6\) | −0.230519 | − | 1.71664i | −0.0941090 | − | 0.700816i | ||||
\(7\) | 4.09004i | 1.54589i | 0.634473 | + | 0.772945i | \(0.281217\pi\) | ||||
−0.634473 | + | 0.772945i | \(0.718783\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.89372 | + | 0.791438i | −0.964574 | + | 0.263813i | ||||
\(10\) | 0.286520 | + | 2.21764i | 0.0906056 | + | 0.701278i | ||||
\(11\) | −2.91858 | −0.879986 | −0.439993 | − | 0.898001i | \(-0.645019\pi\) | ||||
−0.439993 | + | 0.898001i | \(0.645019\pi\) | |||||||
\(12\) | 0.230519 | + | 1.71664i | 0.0665451 | + | 0.495552i | ||||
\(13\) | −2.84883 | −0.790123 | −0.395061 | − | 0.918655i | \(-0.629277\pi\) | ||||
−0.395061 | + | 0.918655i | \(0.629277\pi\) | |||||||
\(14\) | − | 4.09004i | − | 1.09311i | ||||||
\(15\) | 3.74084 | − | 1.00306i | 0.965880 | − | 0.258989i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 3.40740i | − | 0.826416i | −0.910637 | − | 0.413208i | \(-0.864408\pi\) | ||
0.910637 | − | 0.413208i | \(-0.135592\pi\) | |||||||
\(18\) | 2.89372 | − | 0.791438i | 0.682057 | − | 0.186544i | ||||
\(19\) | 2.22746 | 0.511015 | 0.255508 | − | 0.966807i | \(-0.417757\pi\) | ||||
0.255508 | + | 0.966807i | \(0.417757\pi\) | |||||||
\(20\) | −0.286520 | − | 2.21764i | −0.0640678 | − | 0.495878i | ||||
\(21\) | −7.02114 | + | 0.942833i | −1.53214 | + | 0.205743i | ||||
\(22\) | 2.91858 | 0.622244 | ||||||||
\(23\) | − | 3.74121i | − | 0.780097i | −0.920794 | − | 0.390049i | \(-0.872458\pi\) | ||
0.920794 | − | 0.390049i | \(-0.127542\pi\) | |||||||
\(24\) | −0.230519 | − | 1.71664i | −0.0470545 | − | 0.350408i | ||||
\(25\) | −4.83581 | + | 1.27079i | −0.967163 | + | 0.254159i | ||||
\(26\) | 2.84883 | 0.558701 | ||||||||
\(27\) | −2.02567 | − | 4.78504i | −0.389841 | − | 0.920882i | ||||
\(28\) | 4.09004i | 0.772945i | ||||||||
\(29\) | −5.67587 | −1.05398 | −0.526991 | − | 0.849871i | \(-0.676680\pi\) | ||||
−0.526991 | + | 0.849871i | \(0.676680\pi\) | |||||||
\(30\) | −3.74084 | + | 1.00306i | −0.682981 | + | 0.183133i | ||||
\(31\) | 4.53321 | − | 3.23264i | 0.814189 | − | 0.580600i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.672789 | − | 5.01016i | −0.117118 | − | 0.872157i | ||||
\(34\) | 3.40740i | 0.584364i | ||||||||
\(35\) | 9.07022 | − | 1.17188i | 1.53315 | − | 0.198084i | ||||
\(36\) | −2.89372 | + | 0.791438i | −0.482287 | + | 0.131906i | ||||
\(37\) | 1.51417 | 0.248928 | 0.124464 | − | 0.992224i | \(-0.460279\pi\) | ||||
0.124464 | + | 0.992224i | \(0.460279\pi\) | |||||||
\(38\) | −2.22746 | −0.361342 | ||||||||
\(39\) | −0.656709 | − | 4.89042i | −0.105158 | − | 0.783094i | ||||
\(40\) | 0.286520 | + | 2.21764i | 0.0453028 | + | 0.350639i | ||||
\(41\) | 0.438141i | 0.0684261i | 0.999415 | + | 0.0342131i | \(0.0108925\pi\) | ||||
−0.999415 | + | 0.0342131i | \(0.989108\pi\) | |||||||
\(42\) | 7.02114 | − | 0.942833i | 1.08339 | − | 0.145482i | ||||
\(43\) | −8.29665 | −1.26523 | −0.632614 | − | 0.774468i | \(-0.718018\pi\) | ||||
−0.632614 | + | 0.774468i | \(0.718018\pi\) | |||||||
\(44\) | −2.91858 | −0.439993 | ||||||||
\(45\) | 2.58423 | + | 6.19046i | 0.385234 | + | 0.922819i | ||||
\(46\) | 3.74121i | 0.551612i | ||||||||
\(47\) | −7.81439 | −1.13985 | −0.569923 | − | 0.821698i | \(-0.693027\pi\) | ||||
−0.569923 | + | 0.821698i | \(0.693027\pi\) | |||||||
\(48\) | 0.230519 | + | 1.71664i | 0.0332726 | + | 0.247776i | ||||
\(49\) | −9.72844 | −1.38978 | ||||||||
\(50\) | 4.83581 | − | 1.27079i | 0.683887 | − | 0.179717i | ||||
\(51\) | 5.84929 | − | 0.785471i | 0.819064 | − | 0.109988i | ||||
\(52\) | −2.84883 | −0.395061 | ||||||||
\(53\) | 10.9500i | 1.50409i | 0.659111 | + | 0.752046i | \(0.270933\pi\) | ||||
−0.659111 | + | 0.752046i | \(0.729067\pi\) | |||||||
\(54\) | 2.02567 | + | 4.78504i | 0.275659 | + | 0.651162i | ||||
\(55\) | 0.836232 | + | 6.47235i | 0.112758 | + | 0.872732i | ||||
\(56\) | − | 4.09004i | − | 0.546555i | ||||||
\(57\) | 0.513473 | + | 3.82376i | 0.0680111 | + | 0.506469i | ||||
\(58\) | 5.67587 | 0.745279 | ||||||||
\(59\) | 2.26138i | 0.294406i | 0.989106 | + | 0.147203i | \(0.0470271\pi\) | ||||
−0.989106 | + | 0.147203i | \(0.952973\pi\) | |||||||
\(60\) | 3.74084 | − | 1.00306i | 0.482940 | − | 0.129494i | ||||
\(61\) | − | 3.00611i | − | 0.384893i | −0.981307 | − | 0.192447i | \(-0.938358\pi\) | ||
0.981307 | − | 0.192447i | \(-0.0616422\pi\) | |||||||
\(62\) | −4.53321 | + | 3.23264i | −0.575719 | + | 0.410546i | ||||
\(63\) | −3.23701 | − | 11.8354i | −0.407825 | − | 1.49113i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.816246 | + | 6.31766i | 0.101243 | + | 0.783609i | ||||
\(66\) | 0.672789 | + | 5.01016i | 0.0828146 | + | 0.616708i | ||||
\(67\) | − | 9.68140i | − | 1.18277i | −0.806389 | − | 0.591385i | \(-0.798581\pi\) | ||
0.806389 | − | 0.591385i | \(-0.201419\pi\) | |||||||
\(68\) | − | 3.40740i | − | 0.413208i | ||||||
\(69\) | 6.42233 | − | 0.862421i | 0.773157 | − | 0.103823i | ||||
\(70\) | −9.07022 | + | 1.17188i | −1.08410 | + | 0.140066i | ||||
\(71\) | − | 11.2189i | − | 1.33144i | −0.746200 | − | 0.665722i | \(-0.768124\pi\) | ||
0.746200 | − | 0.665722i | \(-0.231876\pi\) | |||||||
\(72\) | 2.89372 | − | 0.791438i | 0.341028 | − | 0.0932718i | ||||
\(73\) | −2.62078 | −0.306739 | −0.153369 | − | 0.988169i | \(-0.549012\pi\) | ||||
−0.153369 | + | 0.988169i | \(0.549012\pi\) | |||||||
\(74\) | −1.51417 | −0.176019 | ||||||||
\(75\) | −3.29625 | − | 8.00842i | −0.380618 | − | 0.924732i | ||||
\(76\) | 2.22746 | 0.255508 | ||||||||
\(77\) | − | 11.9371i | − | 1.36036i | ||||||
\(78\) | 0.656709 | + | 4.89042i | 0.0743577 | + | 0.553731i | ||||
\(79\) | − | 15.1711i | − | 1.70688i | −0.521191 | − | 0.853440i | \(-0.674512\pi\) | ||
0.521191 | − | 0.853440i | \(-0.325488\pi\) | |||||||
\(80\) | −0.286520 | − | 2.21764i | −0.0320339 | − | 0.247939i | ||||
\(81\) | 7.74725 | − | 4.58040i | 0.860806 | − | 0.508933i | ||||
\(82\) | − | 0.438141i | − | 0.0483846i | ||||||
\(83\) | 8.73047i | 0.958294i | 0.877735 | + | 0.479147i | \(0.159054\pi\) | ||||
−0.877735 | + | 0.479147i | \(0.840946\pi\) | |||||||
\(84\) | −7.02114 | + | 0.942833i | −0.766069 | + | 0.102871i | ||||
\(85\) | −7.55637 | + | 0.976288i | −0.819603 | + | 0.105893i | ||||
\(86\) | 8.29665 | 0.894651 | ||||||||
\(87\) | −1.30840 | − | 9.74344i | −0.140275 | − | 1.04461i | ||||
\(88\) | 2.91858 | 0.311122 | ||||||||
\(89\) | −13.2216 | −1.40149 | −0.700746 | − | 0.713411i | \(-0.747149\pi\) | ||||
−0.700746 | + | 0.713411i | \(0.747149\pi\) | |||||||
\(90\) | −2.58423 | − | 6.19046i | −0.272402 | − | 0.652531i | ||||
\(91\) | − | 11.6518i | − | 1.22144i | ||||||
\(92\) | − | 3.74121i | − | 0.390049i | ||||||
\(93\) | 6.59428 | + | 7.03672i | 0.683795 | + | 0.729674i | ||||
\(94\) | 7.81439 | 0.805993 | ||||||||
\(95\) | −0.638213 | − | 4.93970i | −0.0654793 | − | 0.506803i | ||||
\(96\) | −0.230519 | − | 1.71664i | −0.0235273 | − | 0.175204i | ||||
\(97\) | − | 3.32455i | − | 0.337557i | −0.985654 | − | 0.168778i | \(-0.946018\pi\) | ||
0.985654 | − | 0.168778i | \(-0.0539822\pi\) | |||||||
\(98\) | 9.72844 | 0.982721 | ||||||||
\(99\) | 8.44557 | − | 2.30988i | 0.848811 | − | 0.232151i | ||||
\(100\) | −4.83581 | + | 1.27079i | −0.483581 | + | 0.127079i | ||||
\(101\) | 0.426790i | 0.0424671i | 0.999775 | + | 0.0212336i | \(0.00675936\pi\) | ||||
−0.999775 | + | 0.0212336i | \(0.993241\pi\) | |||||||
\(102\) | −5.84929 | + | 0.785471i | −0.579166 | + | 0.0777732i | ||||
\(103\) | 11.7899i | 1.16169i | 0.814013 | + | 0.580846i | \(0.197278\pi\) | ||||
−0.814013 | + | 0.580846i | \(0.802722\pi\) | |||||||
\(104\) | 2.84883 | 0.279351 | ||||||||
\(105\) | 4.10256 | + | 15.3002i | 0.400368 | + | 1.49315i | ||||
\(106\) | − | 10.9500i | − | 1.06355i | ||||||
\(107\) | 16.4991 | 1.59503 | 0.797513 | − | 0.603302i | \(-0.206149\pi\) | ||||
0.797513 | + | 0.603302i | \(0.206149\pi\) | |||||||
\(108\) | −2.02567 | − | 4.78504i | −0.194921 | − | 0.460441i | ||||
\(109\) | 4.44187 | 0.425454 | 0.212727 | − | 0.977112i | \(-0.431766\pi\) | ||||
0.212727 | + | 0.977112i | \(0.431766\pi\) | |||||||
\(110\) | −0.836232 | − | 6.47235i | −0.0797316 | − | 0.617115i | ||||
\(111\) | 0.349045 | + | 2.59929i | 0.0331299 | + | 0.246713i | ||||
\(112\) | 4.09004i | 0.386473i | ||||||||
\(113\) | −15.2316 | −1.43287 | −0.716434 | − | 0.697654i | \(-0.754227\pi\) | ||||
−0.716434 | + | 0.697654i | \(0.754227\pi\) | |||||||
\(114\) | −0.513473 | − | 3.82376i | −0.0480911 | − | 0.358128i | ||||
\(115\) | −8.29665 | + | 1.07193i | −0.773667 | + | 0.0999583i | ||||
\(116\) | −5.67587 | −0.526991 | ||||||||
\(117\) | 8.24371 | − | 2.25467i | 0.762132 | − | 0.208444i | ||||
\(118\) | − | 2.26138i | − | 0.208176i | ||||||
\(119\) | 13.9364 | 1.27755 | ||||||||
\(120\) | −3.74084 | + | 1.00306i | −0.341490 | + | 0.0915664i | ||||
\(121\) | −2.48188 | −0.225625 | ||||||||
\(122\) | 3.00611i | 0.272161i | ||||||||
\(123\) | −0.752131 | + | 0.101000i | −0.0678174 | + | 0.00910685i | ||||
\(124\) | 4.53321 | − | 3.23264i | 0.407095 | − | 0.290300i | ||||
\(125\) | 4.20371 | + | 10.3600i | 0.375992 | + | 0.926623i | ||||
\(126\) | 3.23701 | + | 11.8354i | 0.288376 | + | 1.05439i | ||||
\(127\) | −21.0528 | −1.86814 | −0.934069 | − | 0.357094i | \(-0.883768\pi\) | ||||
−0.934069 | + | 0.357094i | \(0.883768\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −1.91254 | − | 14.2424i | −0.168389 | − | 1.25397i | ||||
\(130\) | −0.816246 | − | 6.31766i | −0.0715895 | − | 0.554095i | ||||
\(131\) | 6.73650i | 0.588571i | 0.955718 | + | 0.294285i | \(0.0950816\pi\) | ||||
−0.955718 | + | 0.294285i | \(0.904918\pi\) | |||||||
\(132\) | −0.672789 | − | 5.01016i | −0.0585588 | − | 0.436079i | ||||
\(133\) | 9.11042i | 0.789974i | ||||||||
\(134\) | 9.68140i | 0.836345i | ||||||||
\(135\) | −10.0311 | + | 5.86322i | −0.863338 | + | 0.504625i | ||||
\(136\) | 3.40740i | 0.292182i | ||||||||
\(137\) | − | 18.8237i | − | 1.60821i | −0.594485 | − | 0.804107i | \(-0.702644\pi\) | ||
0.594485 | − | 0.804107i | \(-0.297356\pi\) | |||||||
\(138\) | −6.42233 | + | 0.862421i | −0.546705 | + | 0.0734142i | ||||
\(139\) | 20.8428i | 1.76787i | 0.467613 | + | 0.883933i | \(0.345114\pi\) | ||||
−0.467613 | + | 0.883933i | \(0.654886\pi\) | |||||||
\(140\) | 9.07022 | − | 1.17188i | 0.766574 | − | 0.0990418i | ||||
\(141\) | −1.80137 | − | 13.4145i | −0.151702 | − | 1.12971i | ||||
\(142\) | 11.2189i | 0.941473i | ||||||||
\(143\) | 8.31454 | 0.695297 | ||||||||
\(144\) | −2.89372 | + | 0.791438i | −0.241143 | + | 0.0659531i | ||||
\(145\) | 1.62625 | + | 12.5870i | 0.135053 | + | 1.04529i | ||||
\(146\) | 2.62078 | 0.216897 | ||||||||
\(147\) | −2.24259 | − | 16.7002i | −0.184966 | − | 1.37741i | ||||
\(148\) | 1.51417 | 0.124464 | ||||||||
\(149\) | 15.1166i | 1.23840i | 0.785232 | + | 0.619201i | \(0.212544\pi\) | ||||
−0.785232 | + | 0.619201i | \(0.787456\pi\) | |||||||
\(150\) | 3.29625 | + | 8.00842i | 0.269137 | + | 0.653885i | ||||
\(151\) | 2.58653i | 0.210488i | 0.994446 | + | 0.105244i | \(0.0335624\pi\) | ||||
−0.994446 | + | 0.105244i | \(0.966438\pi\) | |||||||
\(152\) | −2.22746 | −0.180671 | ||||||||
\(153\) | 2.69674 | + | 9.86007i | 0.218019 | + | 0.797139i | ||||
\(154\) | 11.9371i | 0.961921i | ||||||||
\(155\) | −8.46768 | − | 9.12680i | −0.680140 | − | 0.733082i | ||||
\(156\) | −0.656709 | − | 4.89042i | −0.0525788 | − | 0.391547i | ||||
\(157\) | 1.88558i | 0.150485i | 0.997165 | + | 0.0752427i | \(0.0239731\pi\) | ||||
−0.997165 | + | 0.0752427i | \(0.976027\pi\) | |||||||
\(158\) | 15.1711i | 1.20695i | ||||||||
\(159\) | −18.7971 | + | 2.52417i | −1.49071 | + | 0.200180i | ||||
\(160\) | 0.286520 | + | 2.21764i | 0.0226514 | + | 0.175319i | ||||
\(161\) | 15.3017 | 1.20594 | ||||||||
\(162\) | −7.74725 | + | 4.58040i | −0.608682 | + | 0.359870i | ||||
\(163\) | − | 6.96572i | − | 0.545597i | −0.962071 | − | 0.272799i | \(-0.912051\pi\) | ||
0.962071 | − | 0.272799i | \(-0.0879493\pi\) | |||||||
\(164\) | 0.438141i | 0.0342131i | ||||||||
\(165\) | −10.9179 | + | 2.92751i | −0.849961 | + | 0.227907i | ||||
\(166\) | − | 8.73047i | − | 0.677616i | ||||||
\(167\) | 9.29213i | 0.719047i | 0.933136 | + | 0.359523i | \(0.117061\pi\) | ||||
−0.933136 | + | 0.359523i | \(0.882939\pi\) | |||||||
\(168\) | 7.02114 | − | 0.942833i | 0.541693 | − | 0.0727411i | ||||
\(169\) | −4.88418 | −0.375706 | ||||||||
\(170\) | 7.55637 | − | 0.976288i | 0.579547 | − | 0.0748779i | ||||
\(171\) | −6.44566 | + | 1.76290i | −0.492912 | + | 0.134812i | ||||
\(172\) | −8.29665 | −0.632614 | ||||||||
\(173\) | −16.6921 | −1.26908 | −0.634539 | − | 0.772891i | \(-0.718810\pi\) | ||||
−0.634539 | + | 0.772891i | \(0.718810\pi\) | |||||||
\(174\) | 1.30840 | + | 9.74344i | 0.0991893 | + | 0.738648i | ||||
\(175\) | −5.19760 | − | 19.7787i | −0.392902 | − | 1.49513i | ||||
\(176\) | −2.91858 | −0.219996 | ||||||||
\(177\) | −3.88197 | + | 0.521290i | −0.291787 | + | 0.0391826i | ||||
\(178\) | 13.2216 | 0.991004 | ||||||||
\(179\) | 23.2724 | 1.73946 | 0.869730 | − | 0.493527i | \(-0.164293\pi\) | ||||
0.869730 | + | 0.493527i | \(0.164293\pi\) | |||||||
\(180\) | 2.58423 | + | 6.19046i | 0.192617 | + | 0.461409i | ||||
\(181\) | − | 8.84237i | − | 0.657248i | −0.944461 | − | 0.328624i | \(-0.893415\pi\) | ||
0.944461 | − | 0.328624i | \(-0.106585\pi\) | |||||||
\(182\) | 11.6518i | 0.863691i | ||||||||
\(183\) | 5.16042 | − | 0.692966i | 0.381469 | − | 0.0512255i | ||||
\(184\) | 3.74121i | 0.275806i | ||||||||
\(185\) | −0.433840 | − | 3.35788i | −0.0318965 | − | 0.246876i | ||||
\(186\) | −6.59428 | − | 7.03672i | −0.483516 | − | 0.515957i | ||||
\(187\) | 9.94478i | 0.727234i | ||||||||
\(188\) | −7.81439 | −0.569923 | ||||||||
\(189\) | 19.5710 | − | 8.28509i | 1.42358 | − | 0.602652i | ||||
\(190\) | 0.638213 | + | 4.93970i | 0.0463008 | + | 0.358364i | ||||
\(191\) | 15.0585i | 1.08960i | 0.838567 | + | 0.544799i | \(0.183394\pi\) | ||||
−0.838567 | + | 0.544799i | \(0.816606\pi\) | |||||||
\(192\) | 0.230519 | + | 1.71664i | 0.0166363 | + | 0.123888i | ||||
\(193\) | 13.9665i | 1.00533i | 0.864481 | + | 0.502665i | \(0.167647\pi\) | ||||
−0.864481 | + | 0.502665i | \(0.832353\pi\) | |||||||
\(194\) | 3.32455i | 0.238689i | ||||||||
\(195\) | −10.6570 | + | 2.85754i | −0.763164 | + | 0.204633i | ||||
\(196\) | −9.72844 | −0.694888 | ||||||||
\(197\) | 5.51824i | 0.393159i | 0.980488 | + | 0.196579i | \(0.0629833\pi\) | ||||
−0.980488 | + | 0.196579i | \(0.937017\pi\) | |||||||
\(198\) | −8.44557 | + | 2.30988i | −0.600200 | + | 0.164156i | ||||
\(199\) | 18.3955i | 1.30402i | 0.758209 | + | 0.652012i | \(0.226075\pi\) | ||||
−0.758209 | + | 0.652012i | \(0.773925\pi\) | |||||||
\(200\) | 4.83581 | − | 1.27079i | 0.341944 | − | 0.0898587i | ||||
\(201\) | 16.6195 | − | 2.23175i | 1.17225 | − | 0.157415i | ||||
\(202\) | − | 0.426790i | − | 0.0300288i | ||||||
\(203\) | − | 23.2146i | − | 1.62934i | ||||||
\(204\) | 5.84929 | − | 0.785471i | 0.409532 | − | 0.0549940i | ||||
\(205\) | 0.971637 | − | 0.125536i | 0.0678621 | − | 0.00876783i | ||||
\(206\) | − | 11.7899i | − | 0.821441i | ||||||
\(207\) | 2.96094 | + | 10.8260i | 0.205799 | + | 0.752461i | ||||
\(208\) | −2.84883 | −0.197531 | ||||||||
\(209\) | −6.50104 | −0.449686 | ||||||||
\(210\) | −4.10256 | − | 15.3002i | −0.283103 | − | 1.05581i | ||||
\(211\) | 24.3355 | 1.67532 | 0.837662 | − | 0.546189i | \(-0.183922\pi\) | ||||
0.837662 | + | 0.546189i | \(0.183922\pi\) | |||||||
\(212\) | 10.9500i | 0.752046i | ||||||||
\(213\) | 19.2589 | − | 2.58618i | 1.31960 | − | 0.177202i | ||||
\(214\) | −16.4991 | −1.12785 | ||||||||
\(215\) | 2.37716 | + | 18.3989i | 0.162121 | + | 1.25480i | ||||
\(216\) | 2.02567 | + | 4.78504i | 0.137830 | + | 0.325581i | ||||
\(217\) | 13.2216 | + | 18.5410i | 0.897544 | + | 1.25865i | ||||
\(218\) | −4.44187 | −0.300841 | ||||||||
\(219\) | −0.604139 | − | 4.49894i | −0.0408239 | − | 0.304010i | ||||
\(220\) | 0.836232 | + | 6.47235i | 0.0563788 | + | 0.436366i | ||||
\(221\) | 9.70710i | 0.652970i | ||||||||
\(222\) | −0.349045 | − | 2.59929i | −0.0234264 | − | 0.174453i | ||||
\(223\) | −13.5432 | −0.906920 | −0.453460 | − | 0.891277i | \(-0.649811\pi\) | ||||
−0.453460 | + | 0.891277i | \(0.649811\pi\) | |||||||
\(224\) | − | 4.09004i | − | 0.273277i | ||||||
\(225\) | 12.9877 | − | 7.50457i | 0.865850 | − | 0.500305i | ||||
\(226\) | 15.2316 | 1.01319 | ||||||||
\(227\) | −4.08250 | −0.270965 | −0.135483 | − | 0.990780i | \(-0.543259\pi\) | ||||
−0.135483 | + | 0.990780i | \(0.543259\pi\) | |||||||
\(228\) | 0.513473 | + | 3.82376i | 0.0340056 | + | 0.253235i | ||||
\(229\) | 7.25882i | 0.479676i | 0.970813 | + | 0.239838i | \(0.0770944\pi\) | ||||
−0.970813 | + | 0.239838i | \(0.922906\pi\) | |||||||
\(230\) | 8.29665 | − | 1.07193i | 0.547065 | − | 0.0706812i | ||||
\(231\) | 20.4918 | − | 2.75173i | 1.34826 | − | 0.181051i | ||||
\(232\) | 5.67587 | 0.372639 | ||||||||
\(233\) | −4.27441 | −0.280026 | −0.140013 | − | 0.990150i | \(-0.544714\pi\) | ||||
−0.140013 | + | 0.990150i | \(0.544714\pi\) | |||||||
\(234\) | −8.24371 | + | 2.25467i | −0.538908 | + | 0.147392i | ||||
\(235\) | 2.23898 | + | 17.3295i | 0.146055 | + | 1.13045i | ||||
\(236\) | 2.26138i | 0.147203i | ||||||||
\(237\) | 26.0433 | − | 3.49722i | 1.69170 | − | 0.227169i | ||||
\(238\) | −13.9364 | −0.903363 | ||||||||
\(239\) | −17.2289 | −1.11444 | −0.557222 | − | 0.830364i | \(-0.688133\pi\) | ||||
−0.557222 | + | 0.830364i | \(0.688133\pi\) | |||||||
\(240\) | 3.74084 | − | 1.00306i | 0.241470 | − | 0.0647472i | ||||
\(241\) | − | 12.1407i | − | 0.782050i | −0.920380 | − | 0.391025i | \(-0.872121\pi\) | ||
0.920380 | − | 0.391025i | \(-0.127879\pi\) | |||||||
\(242\) | 2.48188 | 0.159541 | ||||||||
\(243\) | 9.64880 | + | 12.2434i | 0.618971 | + | 0.785414i | ||||
\(244\) | − | 3.00611i | − | 0.192447i | ||||||
\(245\) | 2.78739 | + | 21.5741i | 0.178080 | + | 1.37832i | ||||
\(246\) | 0.752131 | − | 0.101000i | 0.0479541 | − | 0.00643952i | ||||
\(247\) | −6.34566 | −0.403765 | ||||||||
\(248\) | −4.53321 | + | 3.23264i | −0.287859 | + | 0.205273i | ||||
\(249\) | −14.9871 | + | 2.01254i | −0.949769 | + | 0.127540i | ||||
\(250\) | −4.20371 | − | 10.3600i | −0.265866 | − | 0.655221i | ||||
\(251\) | 8.17847 | 0.516220 | 0.258110 | − | 0.966116i | \(-0.416900\pi\) | ||||
0.258110 | + | 0.966116i | \(0.416900\pi\) | |||||||
\(252\) | −3.23701 | − | 11.8354i | −0.203913 | − | 0.745563i | ||||
\(253\) | 10.9190i | 0.686474i | ||||||||
\(254\) | 21.0528 | 1.32097 | ||||||||
\(255\) | −3.41783 | − | 12.7465i | −0.214033 | − | 0.798219i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −1.43812 | −0.0897076 | −0.0448538 | − | 0.998994i | \(-0.514282\pi\) | ||||
−0.0448538 | + | 0.998994i | \(0.514282\pi\) | |||||||
\(258\) | 1.91254 | + | 14.2424i | 0.119069 | + | 0.886692i | ||||
\(259\) | 6.19302i | 0.384815i | ||||||||
\(260\) | 0.816246 | + | 6.31766i | 0.0506214 | + | 0.391805i | ||||
\(261\) | 16.4244 | − | 4.49210i | 1.01664 | − | 0.278054i | ||||
\(262\) | − | 6.73650i | − | 0.416182i | ||||||
\(263\) | − | 4.53066i | − | 0.279372i | −0.990196 | − | 0.139686i | \(-0.955391\pi\) | ||
0.990196 | − | 0.139686i | \(-0.0446093\pi\) | |||||||
\(264\) | 0.672789 | + | 5.01016i | 0.0414073 | + | 0.308354i | ||||
\(265\) | 24.2830 | − | 3.13738i | 1.49169 | − | 0.192728i | ||||
\(266\) | − | 9.11042i | − | 0.558596i | ||||||
\(267\) | −3.04784 | − | 22.6968i | −0.186525 | − | 1.38902i | ||||
\(268\) | − | 9.68140i | − | 0.591385i | ||||||
\(269\) | −15.0129 | −0.915350 | −0.457675 | − | 0.889120i | \(-0.651318\pi\) | ||||
−0.457675 | + | 0.889120i | \(0.651318\pi\) | |||||||
\(270\) | 10.0311 | − | 5.86322i | 0.610472 | − | 0.356824i | ||||
\(271\) | − | 18.1048i | − | 1.09979i | −0.835234 | − | 0.549895i | \(-0.814668\pi\) | ||
0.835234 | − | 0.549895i | \(-0.185332\pi\) | |||||||
\(272\) | − | 3.40740i | − | 0.206604i | ||||||
\(273\) | 20.0020 | − | 2.68597i | 1.21058 | − | 0.162562i | ||||
\(274\) | 18.8237i | 1.13718i | ||||||||
\(275\) | 14.1137 | − | 3.70892i | 0.851089 | − | 0.223656i | ||||
\(276\) | 6.42233 | − | 0.862421i | 0.386579 | − | 0.0519117i | ||||
\(277\) | 20.2172 | 1.21474 | 0.607368 | − | 0.794421i | \(-0.292226\pi\) | ||||
0.607368 | + | 0.794421i | \(0.292226\pi\) | |||||||
\(278\) | − | 20.8428i | − | 1.25007i | ||||||
\(279\) | −10.5594 | + | 12.9421i | −0.632176 | + | 0.774825i | ||||
\(280\) | −9.07022 | + | 1.17188i | −0.542049 | + | 0.0700332i | ||||
\(281\) | 31.7271i | 1.89268i | 0.323172 | + | 0.946340i | \(0.395251\pi\) | ||||
−0.323172 | + | 0.946340i | \(0.604749\pi\) | |||||||
\(282\) | 1.80137 | + | 13.4145i | 0.107270 | + | 0.798823i | ||||
\(283\) | − | 27.7595i | − | 1.65013i | −0.565036 | − | 0.825066i | \(-0.691138\pi\) | ||
0.565036 | − | 0.825066i | \(-0.308862\pi\) | |||||||
\(284\) | − | 11.2189i | − | 0.665722i | ||||||
\(285\) | 8.33258 | − | 2.23428i | 0.493580 | − | 0.132347i | ||||
\(286\) | −8.31454 | −0.491649 | ||||||||
\(287\) | −1.79201 | −0.105779 | ||||||||
\(288\) | 2.89372 | − | 0.791438i | 0.170514 | − | 0.0466359i | ||||
\(289\) | 5.38962 | 0.317037 | ||||||||
\(290\) | −1.62625 | − | 12.5870i | −0.0954968 | − | 0.739135i | ||||
\(291\) | 5.70706 | − | 0.766372i | 0.334554 | − | 0.0449255i | ||||
\(292\) | −2.62078 | −0.153369 | ||||||||
\(293\) | −19.6074 | −1.14548 | −0.572739 | − | 0.819738i | \(-0.694119\pi\) | ||||
−0.572739 | + | 0.819738i | \(0.694119\pi\) | |||||||
\(294\) | 2.24259 | + | 16.7002i | 0.130791 | + | 0.973978i | ||||
\(295\) | 5.01491 | − | 0.647929i | 0.291979 | − | 0.0377239i | ||||
\(296\) | −1.51417 | −0.0880093 | ||||||||
\(297\) | 5.91210 | + | 13.9655i | 0.343055 | + | 0.810363i | ||||
\(298\) | − | 15.1166i | − | 0.875683i | ||||||
\(299\) | 10.6581i | 0.616372i | ||||||||
\(300\) | −3.29625 | − | 8.00842i | −0.190309 | − | 0.462366i | ||||
\(301\) | − | 33.9336i | − | 1.95590i | ||||||
\(302\) | − | 2.58653i | − | 0.148838i | ||||||
\(303\) | −0.732645 | + | 0.0983831i | −0.0420894 | + | 0.00565196i | ||||
\(304\) | 2.22746 | 0.127754 | ||||||||
\(305\) | −6.66646 | + | 0.861311i | −0.381720 | + | 0.0493185i | ||||
\(306\) | −2.69674 | − | 9.86007i | −0.154163 | − | 0.563663i | ||||
\(307\) | 9.74769i | 0.556330i | 0.960533 | + | 0.278165i | \(0.0897262\pi\) | ||||
−0.960533 | + | 0.278165i | \(0.910274\pi\) | |||||||
\(308\) | − | 11.9371i | − | 0.680181i | ||||||
\(309\) | −20.2390 | + | 2.71780i | −1.15136 | + | 0.154610i | ||||
\(310\) | 8.46768 | + | 9.12680i | 0.480932 | + | 0.518367i | ||||
\(311\) | − | 6.19303i | − | 0.351175i | −0.984464 | − | 0.175587i | \(-0.943818\pi\) | ||
0.984464 | − | 0.175587i | \(-0.0561824\pi\) | |||||||
\(312\) | 0.656709 | + | 4.89042i | 0.0371788 | + | 0.276865i | ||||
\(313\) | 21.4203 | 1.21074 | 0.605372 | − | 0.795943i | \(-0.293024\pi\) | ||||
0.605372 | + | 0.795943i | \(0.293024\pi\) | |||||||
\(314\) | − | 1.88558i | − | 0.106409i | ||||||
\(315\) | −25.3192 | + | 10.5696i | −1.42658 | + | 0.595530i | ||||
\(316\) | − | 15.1711i | − | 0.853440i | ||||||
\(317\) | 20.7870 | 1.16751 | 0.583757 | − | 0.811928i | \(-0.301582\pi\) | ||||
0.583757 | + | 0.811928i | \(0.301582\pi\) | |||||||
\(318\) | 18.7971 | − | 2.52417i | 1.05409 | − | 0.141549i | ||||
\(319\) | 16.5655 | 0.927490 | ||||||||
\(320\) | −0.286520 | − | 2.21764i | −0.0160170 | − | 0.123970i | ||||
\(321\) | 3.80335 | + | 28.3230i | 0.212282 | + | 1.58084i | ||||
\(322\) | −15.3017 | −0.852732 | ||||||||
\(323\) | − | 7.58986i | − | 0.422311i | ||||||
\(324\) | 7.74725 | − | 4.58040i | 0.430403 | − | 0.254467i | ||||
\(325\) | 13.7764 | − | 3.62027i | 0.764177 | − | 0.200817i | ||||
\(326\) | 6.96572i | 0.385796i | ||||||||
\(327\) | 1.02393 | + | 7.62509i | 0.0566237 | + | 0.421669i | ||||
\(328\) | − | 0.438141i | − | 0.0241923i | ||||||
\(329\) | − | 31.9612i | − | 1.76208i | ||||||
\(330\) | 10.9179 | − | 2.92751i | 0.601013 | − | 0.161154i | ||||
\(331\) | 24.7544i | 1.36063i | 0.732921 | + | 0.680314i | \(0.238156\pi\) | ||||
−0.732921 | + | 0.680314i | \(0.761844\pi\) | |||||||
\(332\) | 8.73047i | 0.479147i | ||||||||
\(333\) | −4.38159 | + | 1.19837i | −0.240109 | + | 0.0656703i | ||||
\(334\) | − | 9.29213i | − | 0.508443i | ||||||
\(335\) | −21.4698 | + | 2.77391i | −1.17302 | + | 0.151555i | ||||
\(336\) | −7.02114 | + | 0.942833i | −0.383034 | + | 0.0514357i | ||||
\(337\) | 11.4622 | 0.624385 | 0.312192 | − | 0.950019i | \(-0.398937\pi\) | ||||
0.312192 | + | 0.950019i | \(0.398937\pi\) | |||||||
\(338\) | 4.88418 | 0.265664 | ||||||||
\(339\) | −3.51118 | − | 26.1472i | −0.190701 | − | 1.42012i | ||||
\(340\) | −7.55637 | + | 0.976288i | −0.409802 | + | 0.0529467i | ||||
\(341\) | −13.2306 | + | 9.43474i | −0.716475 | + | 0.510920i | ||||
\(342\) | 6.44566 | − | 1.76290i | 0.348541 | − | 0.0953266i | ||||
\(343\) | − | 11.1594i | − | 0.602552i | ||||||
\(344\) | 8.29665 | 0.447325 | ||||||||
\(345\) | −3.75266 | − | 13.9953i | −0.202037 | − | 0.753480i | ||||
\(346\) | 16.6921 | 0.897373 | ||||||||
\(347\) | 11.5962i | 0.622515i | 0.950326 | + | 0.311257i | \(0.100750\pi\) | ||||
−0.950326 | + | 0.311257i | \(0.899250\pi\) | |||||||
\(348\) | −1.30840 | − | 9.74344i | −0.0701374 | − | 0.522303i | ||||
\(349\) | −7.63161 | −0.408511 | −0.204255 | − | 0.978918i | \(-0.565477\pi\) | ||||
−0.204255 | + | 0.978918i | \(0.565477\pi\) | |||||||
\(350\) | 5.19760 | + | 19.7787i | 0.277823 | + | 1.05721i | ||||
\(351\) | 5.77079 | + | 13.6318i | 0.308022 | + | 0.727610i | ||||
\(352\) | 2.91858 | 0.155561 | ||||||||
\(353\) | 1.21958i | 0.0649118i | 0.999473 | + | 0.0324559i | \(0.0103329\pi\) | ||||
−0.999473 | + | 0.0324559i | \(0.989667\pi\) | |||||||
\(354\) | 3.88197 | − | 0.521290i | 0.206325 | − | 0.0277063i | ||||
\(355\) | −24.8795 | + | 3.21445i | −1.32047 | + | 0.170605i | ||||
\(356\) | −13.2216 | −0.700746 | ||||||||
\(357\) | 3.21261 | + | 23.9238i | 0.170029 | + | 1.26618i | ||||
\(358\) | −23.2724 | −1.22998 | ||||||||
\(359\) | 18.5454i | 0.978789i | 0.872062 | + | 0.489395i | \(0.162782\pi\) | ||||
−0.872062 | + | 0.489395i | \(0.837218\pi\) | |||||||
\(360\) | −2.58423 | − | 6.19046i | −0.136201 | − | 0.326266i | ||||
\(361\) | −14.0384 | −0.738863 | ||||||||
\(362\) | 8.84237i | 0.464745i | ||||||||
\(363\) | −0.572120 | − | 4.26049i | −0.0300285 | − | 0.223618i | ||||
\(364\) | − | 11.6518i | − | 0.610721i | ||||||
\(365\) | 0.750905 | + | 5.81193i | 0.0393042 | + | 0.304210i | ||||
\(366\) | −5.16042 | + | 0.692966i | −0.269739 | + | 0.0362219i | ||||
\(367\) | −1.68634 | −0.0880263 | −0.0440131 | − | 0.999031i | \(-0.514014\pi\) | ||||
−0.0440131 | + | 0.999031i | \(0.514014\pi\) | |||||||
\(368\) | − | 3.74121i | − | 0.195024i | ||||||
\(369\) | −0.346761 | − | 1.26786i | −0.0180517 | − | 0.0660021i | ||||
\(370\) | 0.433840 | + | 3.35788i | 0.0225543 | + | 0.174568i | ||||
\(371\) | −44.7858 | −2.32516 | ||||||||
\(372\) | 6.59428 | + | 7.03672i | 0.341898 | + | 0.364837i | ||||
\(373\) | − | 0.208485i | − | 0.0107950i | −0.999985 | − | 0.00539748i | \(-0.998282\pi\) | ||
0.999985 | − | 0.00539748i | \(-0.00171808\pi\) | |||||||
\(374\) | − | 9.94478i | − | 0.514232i | ||||||
\(375\) | −16.8153 | + | 9.60444i | −0.868339 | + | 0.495971i | ||||
\(376\) | 7.81439 | 0.402997 | ||||||||
\(377\) | 16.1696 | 0.832776 | ||||||||
\(378\) | −19.5710 | + | 8.28509i | −1.00663 | + | 0.426139i | ||||
\(379\) | −26.6546 | −1.36915 | −0.684577 | − | 0.728940i | \(-0.740013\pi\) | ||||
−0.684577 | + | 0.728940i | \(0.740013\pi\) | |||||||
\(380\) | −0.638213 | − | 4.93970i | −0.0327396 | − | 0.253401i | ||||
\(381\) | −4.85308 | − | 36.1402i | −0.248631 | − | 1.85152i | ||||
\(382\) | − | 15.0585i | − | 0.770462i | ||||||
\(383\) | − | 1.48850i | − | 0.0760590i | −0.999277 | − | 0.0380295i | \(-0.987892\pi\) | ||
0.999277 | − | 0.0380295i | \(-0.0121081\pi\) | |||||||
\(384\) | −0.230519 | − | 1.71664i | −0.0117636 | − | 0.0876020i | ||||
\(385\) | −26.4722 | + | 3.42023i | −1.34915 | + | 0.174311i | ||||
\(386\) | − | 13.9665i | − | 0.710876i | ||||||
\(387\) | 24.0082 | − | 6.56628i | 1.22041 | − | 0.333783i | ||||
\(388\) | − | 3.32455i | − | 0.168778i | ||||||
\(389\) | −15.3464 | −0.778091 | −0.389046 | − | 0.921218i | \(-0.627195\pi\) | ||||
−0.389046 | + | 0.921218i | \(0.627195\pi\) | |||||||
\(390\) | 10.6570 | − | 2.85754i | 0.539638 | − | 0.144697i | ||||
\(391\) | −12.7478 | −0.644685 | ||||||||
\(392\) | 9.72844 | 0.491360 | ||||||||
\(393\) | −11.5642 | + | 1.55289i | −0.583335 | + | 0.0783330i | ||||
\(394\) | − | 5.51824i | − | 0.278005i | ||||||
\(395\) | −33.6439 | + | 4.34682i | −1.69281 | + | 0.218712i | ||||
\(396\) | 8.44557 | − | 2.30988i | 0.424406 | − | 0.116076i | ||||
\(397\) | − | 18.8139i | − | 0.944245i | −0.881533 | − | 0.472122i | \(-0.843488\pi\) | ||
0.881533 | − | 0.472122i | \(-0.156512\pi\) | |||||||
\(398\) | − | 18.3955i | − | 0.922084i | ||||||
\(399\) | −15.6393 | + | 2.10013i | −0.782946 | + | 0.105138i | ||||
\(400\) | −4.83581 | + | 1.27079i | −0.241791 | + | 0.0635397i | ||||
\(401\) | 24.5289 | 1.22491 | 0.612457 | − | 0.790504i | \(-0.290181\pi\) | ||||
0.612457 | + | 0.790504i | \(0.290181\pi\) | |||||||
\(402\) | −16.6195 | + | 2.23175i | −0.828905 | + | 0.111309i | ||||
\(403\) | −12.9143 | + | 9.20924i | −0.643309 | + | 0.458745i | ||||
\(404\) | 0.426790i | 0.0212336i | ||||||||
\(405\) | −12.3774 | − | 15.8682i | −0.615038 | − | 0.788497i | ||||
\(406\) | 23.2146i | 1.15212i | ||||||||
\(407\) | −4.41923 | −0.219053 | ||||||||
\(408\) | −5.84929 | + | 0.785471i | −0.289583 | + | 0.0388866i | ||||
\(409\) | 22.5622i | 1.11563i | 0.829966 | + | 0.557815i | \(0.188360\pi\) | ||||
−0.829966 | + | 0.557815i | \(0.811640\pi\) | |||||||
\(410\) | −0.971637 | + | 0.125536i | −0.0479857 | + | 0.00619979i | ||||
\(411\) | 32.3135 | − | 4.33921i | 1.59391 | − | 0.214038i | ||||
\(412\) | 11.7899i | 0.580846i | ||||||||
\(413\) | −9.24912 | −0.455119 | ||||||||
\(414\) | −2.96094 | − | 10.8260i | −0.145522 | − | 0.532071i | ||||
\(415\) | 19.3610 | − | 2.50145i | 0.950394 | − | 0.122792i | ||||
\(416\) | 2.84883 | 0.139675 | ||||||||
\(417\) | −35.7797 | + | 4.80467i | −1.75214 | + | 0.235286i | ||||
\(418\) | 6.50104 | 0.317976 | ||||||||
\(419\) | − | 14.8743i | − | 0.726657i | −0.931661 | − | 0.363329i | \(-0.881640\pi\) | ||
0.931661 | − | 0.363329i | \(-0.118360\pi\) | |||||||
\(420\) | 4.10256 | + | 15.3002i | 0.200184 | + | 0.746573i | ||||
\(421\) | 0.454924 | 0.0221716 | 0.0110858 | − | 0.999939i | \(-0.496471\pi\) | ||||
0.0110858 | + | 0.999939i | \(0.496471\pi\) | |||||||
\(422\) | −24.3355 | −1.18463 | ||||||||
\(423\) | 22.6127 | − | 6.18461i | 1.09947 | − | 0.300706i | ||||
\(424\) | − | 10.9500i | − | 0.531777i | ||||||
\(425\) | 4.33010 | + | 16.4775i | 0.210041 | + | 0.799278i | ||||
\(426\) | −19.2589 | + | 2.58618i | −0.933097 | + | 0.125301i | ||||
\(427\) | 12.2951 | 0.595003 | ||||||||
\(428\) | 16.4991 | 0.797513 | ||||||||
\(429\) | 1.91666 | + | 14.2731i | 0.0925372 | + | 0.689111i | ||||
\(430\) | −2.37716 | − | 18.3989i | −0.114637 | − | 0.887276i | ||||
\(431\) | − | 18.4340i | − | 0.887935i | −0.896043 | − | 0.443967i | \(-0.853571\pi\) | ||
0.896043 | − | 0.443967i | \(-0.146429\pi\) | |||||||
\(432\) | −2.02567 | − | 4.78504i | −0.0974603 | − | 0.230221i | ||||
\(433\) | −32.5252 | −1.56306 | −0.781530 | − | 0.623867i | \(-0.785561\pi\) | ||||
−0.781530 | + | 0.623867i | \(0.785561\pi\) | |||||||
\(434\) | −13.2216 | − | 18.5410i | −0.634659 | − | 0.889998i | ||||
\(435\) | −21.2325 | + | 5.69324i | −1.01802 | + | 0.272970i | ||||
\(436\) | 4.44187 | 0.212727 | ||||||||
\(437\) | − | 8.33342i | − | 0.398642i | ||||||
\(438\) | 0.604139 | + | 4.49894i | 0.0288669 | + | 0.214968i | ||||
\(439\) | 12.8991 | 0.615640 | 0.307820 | − | 0.951445i | \(-0.400401\pi\) | ||||
0.307820 | + | 0.951445i | \(0.400401\pi\) | |||||||
\(440\) | −0.836232 | − | 6.47235i | −0.0398658 | − | 0.308557i | ||||
\(441\) | 28.1514 | − | 7.69945i | 1.34054 | − | 0.366641i | ||||
\(442\) | − | 9.70710i | − | 0.461719i | ||||||
\(443\) | −13.0784 | −0.621374 | −0.310687 | − | 0.950512i | \(-0.600559\pi\) | ||||
−0.310687 | + | 0.950512i | \(0.600559\pi\) | |||||||
\(444\) | 0.349045 | + | 2.59929i | 0.0165649 | + | 0.123357i | ||||
\(445\) | 3.78827 | + | 29.3208i | 0.179581 | + | 1.38994i | ||||
\(446\) | 13.5432 | 0.641289 | ||||||||
\(447\) | −25.9498 | + | 3.48467i | −1.22739 | + | 0.164819i | ||||
\(448\) | 4.09004i | 0.193236i | ||||||||
\(449\) | 5.97465 | 0.281961 | 0.140980 | − | 0.990012i | \(-0.454975\pi\) | ||||
0.140980 | + | 0.990012i | \(0.454975\pi\) | |||||||
\(450\) | −12.9877 | + | 7.50457i | −0.612248 | + | 0.353769i | ||||
\(451\) | − | 1.27875i | − | 0.0602140i | ||||||
\(452\) | −15.2316 | −0.716434 | ||||||||
\(453\) | −4.44014 | + | 0.596243i | −0.208616 | + | 0.0280140i | ||||
\(454\) | 4.08250 | 0.191601 | ||||||||
\(455\) | −25.8395 | + | 3.33848i | −1.21137 | + | 0.156510i | ||||
\(456\) | −0.513473 | − | 3.82376i | −0.0240456 | − | 0.179064i | ||||
\(457\) | −11.2528 | −0.526383 | −0.263191 | − | 0.964744i | \(-0.584775\pi\) | ||||
−0.263191 | + | 0.964744i | \(0.584775\pi\) | |||||||
\(458\) | − | 7.25882i | − | 0.339182i | ||||||
\(459\) | −16.3046 | + | 6.90228i | −0.761032 | + | 0.322171i | ||||
\(460\) | −8.29665 | + | 1.07193i | −0.386833 | + | 0.0499791i | ||||
\(461\) | −18.7636 | −0.873907 | −0.436953 | − | 0.899484i | \(-0.643943\pi\) | ||||
−0.436953 | + | 0.899484i | \(0.643943\pi\) | |||||||
\(462\) | −20.4918 | + | 2.75173i | −0.953364 | + | 0.128022i | ||||
\(463\) | −16.0690 | −0.746792 | −0.373396 | − | 0.927672i | \(-0.621807\pi\) | ||||
−0.373396 | + | 0.927672i | \(0.621807\pi\) | |||||||
\(464\) | −5.67587 | −0.263496 | ||||||||
\(465\) | 13.7155 | − | 16.6399i | 0.636040 | − | 0.771656i | ||||
\(466\) | 4.27441 | 0.198008 | ||||||||
\(467\) | 36.1871 | 1.67454 | 0.837269 | − | 0.546791i | \(-0.184151\pi\) | ||||
0.837269 | + | 0.546791i | \(0.184151\pi\) | |||||||
\(468\) | 8.24371 | − | 2.25467i | 0.381066 | − | 0.104222i | ||||
\(469\) | 39.5973 | 1.82843 | ||||||||
\(470\) | −2.23898 | − | 17.3295i | −0.103276 | − | 0.799349i | ||||
\(471\) | −3.23686 | + | 0.434661i | −0.149147 | + | 0.0200281i | ||||
\(472\) | − | 2.26138i | − | 0.104088i | ||||||
\(473\) | 24.2145 | 1.11338 | ||||||||
\(474\) | −26.0433 | + | 3.49722i | −1.19621 | + | 0.160633i | ||||
\(475\) | −10.7716 | + | 2.83065i | −0.494235 | + | 0.129879i | ||||
\(476\) | 13.9364 | 0.638774 | ||||||||
\(477\) | −8.66620 | − | 31.6861i | −0.396798 | − | 1.45081i | ||||
\(478\) | 17.2289 | 0.788031 | ||||||||
\(479\) | 12.6657i | 0.578711i | 0.957222 | + | 0.289356i | \(0.0934410\pi\) | ||||
−0.957222 | + | 0.289356i | \(0.906559\pi\) | |||||||
\(480\) | −3.74084 | + | 1.00306i | −0.170745 | + | 0.0457832i | ||||
\(481\) | −4.31361 | −0.196684 | ||||||||
\(482\) | 12.1407i | 0.552993i | ||||||||
\(483\) | 3.52734 | + | 26.2676i | 0.160499 | + | 1.19522i | ||||
\(484\) | −2.48188 | −0.112813 | ||||||||
\(485\) | −7.37264 | + | 0.952550i | −0.334774 | + | 0.0432531i | ||||
\(486\) | −9.64880 | − | 12.2434i | −0.437678 | − | 0.555372i | ||||
\(487\) | −29.5112 | −1.33728 | −0.668640 | − | 0.743586i | \(-0.733123\pi\) | ||||
−0.668640 | + | 0.743586i | \(0.733123\pi\) | |||||||
\(488\) | 3.00611i | 0.136080i | ||||||||
\(489\) | 11.9577 | − | 1.60573i | 0.540744 | − | 0.0726137i | ||||
\(490\) | −2.78739 | − | 21.5741i | −0.125922 | − | 0.974620i | ||||
\(491\) | 24.9330 | 1.12521 | 0.562604 | − | 0.826726i | \(-0.309799\pi\) | ||||
0.562604 | + | 0.826726i | \(0.309799\pi\) | |||||||
\(492\) | −0.752131 | + | 0.101000i | −0.0339087 | + | 0.00455343i | ||||
\(493\) | 19.3400i | 0.871028i | ||||||||
\(494\) | 6.34566 | 0.285505 | ||||||||
\(495\) | −7.54229 | − | 18.0674i | −0.339001 | − | 0.812067i | ||||
\(496\) | 4.53321 | − | 3.23264i | 0.203547 | − | 0.145150i | ||||
\(497\) | 45.8859 | 2.05827 | ||||||||
\(498\) | 14.9871 | − | 2.01254i | 0.671588 | − | 0.0901841i | ||||
\(499\) | − | 38.9920i | − | 1.74552i | −0.488147 | − | 0.872761i | \(-0.662327\pi\) | ||
0.488147 | − | 0.872761i | \(-0.337673\pi\) | |||||||
\(500\) | 4.20371 | + | 10.3600i | 0.187996 | + | 0.463312i | ||||
\(501\) | −15.9513 | + | 2.14201i | −0.712650 | + | 0.0956981i | ||||
\(502\) | −8.17847 | −0.365023 | ||||||||
\(503\) | −30.1111 | −1.34259 | −0.671295 | − | 0.741190i | \(-0.734262\pi\) | ||||
−0.671295 | + | 0.741190i | \(0.734262\pi\) | |||||||
\(504\) | 3.23701 | + | 11.8354i | 0.144188 | + | 0.527193i | ||||
\(505\) | 0.946463 | − | 0.122284i | 0.0421171 | − | 0.00544156i | ||||
\(506\) | − | 10.9190i | − | 0.485411i | ||||||
\(507\) | −1.12590 | − | 8.38439i | −0.0500028 | − | 0.372364i | ||||
\(508\) | −21.0528 | −0.934069 | ||||||||
\(509\) | 5.10170 | 0.226129 | 0.113064 | − | 0.993588i | \(-0.463933\pi\) | ||||
0.113064 | + | 0.993588i | \(0.463933\pi\) | |||||||
\(510\) | 3.41783 | + | 12.7465i | 0.151344 | + | 0.564426i | ||||
\(511\) | − | 10.7191i | − | 0.474185i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.51211 | − | 10.6585i | −0.199215 | − | 0.470585i | ||||
\(514\) | 1.43812 | 0.0634328 | ||||||||
\(515\) | 26.1457 | − | 3.37804i | 1.15212 | − | 0.148854i | ||||
\(516\) | −1.91254 | − | 14.2424i | −0.0841947 | − | 0.626986i | ||||
\(517\) | 22.8070 | 1.00305 | ||||||||
\(518\) | − | 6.19302i | − | 0.272106i | ||||||
\(519\) | −3.84785 | − | 28.6544i | −0.168902 | − | 1.25779i | ||||
\(520\) | −0.816246 | − | 6.31766i | −0.0357948 | − | 0.277048i | ||||
\(521\) | − | 35.0124i | − | 1.53392i | −0.641694 | − | 0.766960i | \(-0.721768\pi\) | ||
0.641694 | − | 0.766960i | \(-0.278232\pi\) | |||||||
\(522\) | −16.4244 | + | 4.49210i | −0.718876 | + | 0.196614i | ||||
\(523\) | 43.7355 | 1.91242 | 0.956210 | − | 0.292680i | \(-0.0945470\pi\) | ||||
0.956210 | + | 0.292680i | \(0.0945470\pi\) | |||||||
\(524\) | 6.73650i | 0.294285i | ||||||||
\(525\) | 32.7548 | − | 13.4818i | 1.42954 | − | 0.588393i | ||||
\(526\) | 4.53066i | 0.197546i | ||||||||
\(527\) | −11.0149 | − | 15.4465i | −0.479817 | − | 0.672859i | ||||
\(528\) | −0.672789 | − | 5.01016i | −0.0292794 | − | 0.218039i | ||||
\(529\) | 9.00331 | 0.391448 | ||||||||
\(530\) | −24.2830 | + | 3.13738i | −1.05479 | + | 0.136279i | ||||
\(531\) | −1.78974 | − | 6.54379i | −0.0776680 | − | 0.283976i | ||||
\(532\) | 9.11042i | 0.394987i | ||||||||
\(533\) | − | 1.24819i | − | 0.0540650i | ||||||
\(534\) | 3.04784 | + | 22.6968i | 0.131893 | + | 0.982188i | ||||
\(535\) | −4.72732 | − | 36.5889i | −0.204380 | − | 1.58188i | ||||
\(536\) | 9.68140i | 0.418173i | ||||||||
\(537\) | 5.36473 | + | 39.9504i | 0.231505 | + | 1.72399i | ||||
\(538\) | 15.0129 | 0.647250 | ||||||||
\(539\) | 28.3933 | 1.22298 | ||||||||
\(540\) | −10.0311 | + | 5.86322i | −0.431669 | + | 0.252313i | ||||
\(541\) | −20.8818 | −0.897780 | −0.448890 | − | 0.893587i | \(-0.648180\pi\) | ||||
−0.448890 | + | 0.893587i | \(0.648180\pi\) | |||||||
\(542\) | 18.1048i | 0.777670i | ||||||||
\(543\) | 15.1792 | − | 2.03833i | 0.651401 | − | 0.0874733i | ||||
\(544\) | 3.40740i | 0.146091i | ||||||||
\(545\) | −1.27268 | − | 9.85044i | −0.0545158 | − | 0.421946i | ||||
\(546\) | −20.0020 | + | 2.68597i | −0.856007 | + | 0.114949i | ||||
\(547\) | 9.87086i | 0.422047i | 0.977481 | + | 0.211024i | \(0.0676797\pi\) | ||||
−0.977481 | + | 0.211024i | \(0.932320\pi\) | |||||||
\(548\) | − | 18.8237i | − | 0.804107i | ||||||
\(549\) | 2.37915 | + | 8.69885i | 0.101540 | + | 0.371258i | ||||
\(550\) | −14.1137 | + | 3.70892i | −0.601811 | + | 0.158149i | ||||
\(551\) | −12.6428 | −0.538601 | ||||||||
\(552\) | −6.42233 | + | 0.862421i | −0.273352 | + | 0.0367071i | ||||
\(553\) | 62.0504 | 2.63865 | ||||||||
\(554\) | −20.2172 | −0.858947 | ||||||||
\(555\) | 5.66426 | − | 1.51880i | 0.240435 | − | 0.0644696i | ||||
\(556\) | 20.8428i | 0.883933i | ||||||||
\(557\) | 2.15940i | 0.0914965i | 0.998953 | + | 0.0457483i | \(0.0145672\pi\) | ||||
−0.998953 | + | 0.0457483i | \(0.985433\pi\) | |||||||
\(558\) | 10.5594 | − | 12.9421i | 0.447016 | − | 0.547884i | ||||
\(559\) | 23.6357 | 0.999685 | ||||||||
\(560\) | 9.07022 | − | 1.17188i | 0.383287 | − | 0.0495209i | ||||
\(561\) | −17.0716 | + | 2.29246i | −0.720765 | + | 0.0967878i | ||||
\(562\) | − | 31.7271i | − | 1.33833i | ||||||
\(563\) | 10.3014 | 0.434152 | 0.217076 | − | 0.976155i | \(-0.430348\pi\) | ||||
0.217076 | + | 0.976155i | \(0.430348\pi\) | |||||||
\(564\) | −1.80137 | − | 13.4145i | −0.0758512 | − | 0.564853i | ||||
\(565\) | 4.36416 | + | 33.7781i | 0.183602 | + | 1.42106i | ||||
\(566\) | 27.7595i | 1.16682i | ||||||||
\(567\) | 18.7340 | + | 31.6866i | 0.786755 | + | 1.33071i | ||||
\(568\) | 11.2189i | 0.470736i | ||||||||
\(569\) | 2.46545 | 0.103357 | 0.0516786 | − | 0.998664i | \(-0.483543\pi\) | ||||
0.0516786 | + | 0.998664i | \(0.483543\pi\) | |||||||
\(570\) | −8.33258 | + | 2.23428i | −0.349013 | + | 0.0935837i | ||||
\(571\) | 19.3834i | 0.811171i | 0.914057 | + | 0.405585i | \(0.132932\pi\) | ||||
−0.914057 | + | 0.405585i | \(0.867068\pi\) | |||||||
\(572\) | 8.31454 | 0.347648 | ||||||||
\(573\) | −25.8501 | + | 3.47128i | −1.07991 | + | 0.145015i | ||||
\(574\) | 1.79201 | 0.0747972 | ||||||||
\(575\) | 4.75431 | + | 18.0918i | 0.198269 | + | 0.754481i | ||||
\(576\) | −2.89372 | + | 0.791438i | −0.120572 | + | 0.0329766i | ||||
\(577\) | − | 33.5306i | − | 1.39590i | −0.716147 | − | 0.697949i | \(-0.754096\pi\) | ||
0.716147 | − | 0.697949i | \(-0.245904\pi\) | |||||||
\(578\) | −5.38962 | −0.224179 | ||||||||
\(579\) | −23.9755 | + | 3.21954i | −0.996386 | + | 0.133800i | ||||
\(580\) | 1.62625 | + | 12.5870i | 0.0675264 | + | 0.522647i | ||||
\(581\) | −35.7080 | −1.48142 | ||||||||
\(582\) | −5.70706 | + | 0.766372i | −0.236565 | + | 0.0317671i | ||||
\(583\) | − | 31.9583i | − | 1.32358i | ||||||
\(584\) | 2.62078 | 0.108449 | ||||||||
\(585\) | −7.36202 | − | 17.6355i | −0.304382 | − | 0.729140i | ||||
\(586\) | 19.6074 | 0.809975 | ||||||||
\(587\) | 0.734237i | 0.0303052i | 0.999885 | + | 0.0151526i | \(0.00482341\pi\) | ||||
−0.999885 | + | 0.0151526i | \(0.995177\pi\) | |||||||
\(588\) | −2.24259 | − | 16.7002i | −0.0924829 | − | 0.688707i | ||||
\(589\) | 10.0976 | − | 7.20060i | 0.416063 | − | 0.296695i | ||||
\(590\) | −5.01491 | + | 0.647929i | −0.206460 | + | 0.0266748i | ||||
\(591\) | −9.47285 | + | 1.27206i | −0.389661 | + | 0.0523256i | ||||
\(592\) | 1.51417 | 0.0622320 | ||||||||
\(593\) | −22.1696 | −0.910396 | −0.455198 | − | 0.890390i | \(-0.650431\pi\) | ||||
−0.455198 | + | 0.890390i | \(0.650431\pi\) | |||||||
\(594\) | −5.91210 | − | 13.9655i | −0.242576 | − | 0.573013i | ||||
\(595\) | −3.99306 | − | 30.9059i | −0.163699 | − | 1.26702i | ||||
\(596\) | 15.1166i | 0.619201i | ||||||||
\(597\) | −31.5785 | + | 4.24052i | −1.29242 | + | 0.173553i | ||||
\(598\) | − | 10.6581i | − | 0.435841i | ||||||
\(599\) | − | 14.7023i | − | 0.600718i | −0.953826 | − | 0.300359i | \(-0.902894\pi\) | ||
0.953826 | − | 0.300359i | \(-0.0971065\pi\) | |||||||
\(600\) | 3.29625 | + | 8.00842i | 0.134569 | + | 0.326942i | ||||
\(601\) | 4.14184i | 0.168949i | 0.996426 | + | 0.0844746i | \(0.0269212\pi\) | ||||
−0.996426 | + | 0.0844746i | \(0.973079\pi\) | |||||||
\(602\) | 33.9336i | 1.38303i | ||||||||
\(603\) | 7.66222 | + | 28.0153i | 0.312030 | + | 1.14087i | ||||
\(604\) | 2.58653i | 0.105244i | ||||||||
\(605\) | 0.711107 | + | 5.50389i | 0.0289106 | + | 0.223765i | ||||
\(606\) | 0.732645 | − | 0.0983831i | 0.0297617 | − | 0.00399654i | ||||
\(607\) | − | 27.5963i | − | 1.12010i | −0.828460 | − | 0.560049i | \(-0.810782\pi\) | ||
0.828460 | − | 0.560049i | \(-0.189218\pi\) | |||||||
\(608\) | −2.22746 | −0.0903356 | ||||||||
\(609\) | 39.8511 | − | 5.35140i | 1.61485 | − | 0.216850i | ||||
\(610\) | 6.66646 | − | 0.861311i | 0.269917 | − | 0.0348735i | ||||
\(611\) | 22.2619 | 0.900618 | ||||||||
\(612\) | 2.69674 | + | 9.86007i | 0.109009 | + | 0.398570i | ||||
\(613\) | 32.6944 | 1.32052 | 0.660258 | − | 0.751039i | \(-0.270447\pi\) | ||||
0.660258 | + | 0.751039i | \(0.270447\pi\) | |||||||
\(614\) | − | 9.74769i | − | 0.393385i | ||||||
\(615\) | 0.439482 | + | 1.63901i | 0.0177216 | + | 0.0660914i | ||||
\(616\) | 11.9371i | 0.480960i | ||||||||
\(617\) | −27.8024 | −1.11928 | −0.559641 | − | 0.828735i | \(-0.689061\pi\) | ||||
−0.559641 | + | 0.828735i | \(0.689061\pi\) | |||||||
\(618\) | 20.2390 | − | 2.71780i | 0.814133 | − | 0.109326i | ||||
\(619\) | 13.9590i | 0.561059i | 0.959845 | + | 0.280529i | \(0.0905100\pi\) | ||||
−0.959845 | + | 0.280529i | \(0.909490\pi\) | |||||||
\(620\) | −8.46768 | − | 9.12680i | −0.340070 | − | 0.366541i | ||||
\(621\) | −17.9019 | + | 7.57848i | −0.718378 | + | 0.304114i | ||||
\(622\) | 6.19303i | 0.248318i | ||||||||
\(623\) | − | 54.0771i | − | 2.16655i | ||||||
\(624\) | −0.656709 | − | 4.89042i | −0.0262894 | − | 0.195773i | ||||
\(625\) | 21.7702 | − | 12.2906i | 0.870807 | − | 0.491626i | ||||
\(626\) | −21.4203 | −0.856126 | ||||||||
\(627\) | −1.49861 | − | 11.1600i | −0.0598488 | − | 0.445686i | ||||
\(628\) | 1.88558i | 0.0752427i | ||||||||
\(629\) | − | 5.15938i | − | 0.205718i | ||||||
\(630\) | 25.3192 | − | 10.5696i | 1.00874 | − | 0.421103i | ||||
\(631\) | − | 17.4643i | − | 0.695243i | −0.937635 | − | 0.347622i | \(-0.886989\pi\) | ||
0.937635 | − | 0.347622i | \(-0.113011\pi\) | |||||||
\(632\) | 15.1711i | 0.603473i | ||||||||
\(633\) | 5.60979 | + | 41.7753i | 0.222969 | + | 1.66042i | ||||
\(634\) | −20.7870 | −0.825557 | ||||||||
\(635\) | 6.03206 | + | 46.6875i | 0.239375 | + | 1.85274i | ||||
\(636\) | −18.7971 | + | 2.52417i | −0.745355 | + | 0.100090i | ||||
\(637\) | 27.7146 | 1.09809 | ||||||||
\(638\) | −16.5655 | −0.655835 | ||||||||
\(639\) | 8.87909 | + | 32.4645i | 0.351251 | + | 1.28428i | ||||
\(640\) | 0.286520 | + | 2.21764i | 0.0113257 | + | 0.0876597i | ||||
\(641\) | −17.9988 | −0.710910 | −0.355455 | − | 0.934693i | \(-0.615674\pi\) | ||||
−0.355455 | + | 0.934693i | \(0.615674\pi\) | |||||||
\(642\) | −3.80335 | − | 28.3230i | −0.150106 | − | 1.11782i | ||||
\(643\) | 30.6135 | 1.20728 | 0.603640 | − | 0.797257i | \(-0.293717\pi\) | ||||
0.603640 | + | 0.797257i | \(0.293717\pi\) | |||||||
\(644\) | 15.3017 | 0.602972 | ||||||||
\(645\) | −31.0364 | + | 8.32203i | −1.22206 | + | 0.327680i | ||||
\(646\) | 7.58986i | 0.298619i | ||||||||
\(647\) | − | 23.1577i | − | 0.910424i | −0.890383 | − | 0.455212i | \(-0.849564\pi\) | ||
0.890383 | − | 0.455212i | \(-0.150436\pi\) | |||||||
\(648\) | −7.74725 | + | 4.58040i | −0.304341 | + | 0.179935i | ||||
\(649\) | − | 6.60001i | − | 0.259073i | ||||||
\(650\) | −13.7764 | + | 3.62027i | −0.540355 | + | 0.141999i | ||||
\(651\) | −28.7805 | + | 26.9709i | −1.12800 | + | 1.05707i | ||||
\(652\) | − | 6.96572i | − | 0.272799i | ||||||
\(653\) | −9.05857 | −0.354489 | −0.177245 | − | 0.984167i | \(-0.556718\pi\) | ||||
−0.177245 | + | 0.984167i | \(0.556718\pi\) | |||||||
\(654\) | −1.02393 | − | 7.62509i | −0.0400390 | − | 0.298165i | ||||
\(655\) | 14.9391 | − | 1.93014i | 0.583719 | − | 0.0754169i | ||||
\(656\) | 0.438141i | 0.0171065i | ||||||||
\(657\) | 7.58380 | − | 2.07418i | 0.295872 | − | 0.0809215i | ||||
\(658\) | 31.9612i | 1.24598i | ||||||||
\(659\) | − | 40.2254i | − | 1.56696i | −0.621417 | − | 0.783480i | \(-0.713443\pi\) | ||
0.621417 | − | 0.783480i | \(-0.286557\pi\) | |||||||
\(660\) | −10.9179 | + | 2.92751i | −0.424980 | + | 0.113953i | ||||
\(661\) | −34.7878 | −1.35309 | −0.676545 | − | 0.736401i | \(-0.736523\pi\) | ||||
−0.676545 | + | 0.736401i | \(0.736523\pi\) | |||||||
\(662\) | − | 24.7544i | − | 0.962109i | ||||||
\(663\) | −16.6636 | + | 2.23767i | −0.647161 | + | 0.0869039i | ||||
\(664\) | − | 8.73047i | − | 0.338808i | ||||||
\(665\) | 20.2036 | − | 2.61032i | 0.783461 | − | 0.101224i | ||||
\(666\) | 4.38159 | − | 1.19837i | 0.169783 | − | 0.0464359i | ||||
\(667\) | 21.2347i | 0.822209i | ||||||||
\(668\) | 9.29213i | 0.359523i | ||||||||
\(669\) | −3.12197 | − | 23.2488i | −0.120702 | − | 0.898852i | ||||
\(670\) | 21.4698 | − | 2.77391i | 0.829451 | − | 0.107166i | ||||
\(671\) | 8.77359i | 0.338700i | ||||||||
\(672\) | 7.02114 | − | 0.942833i | 0.270846 | − | 0.0363706i | ||||
\(673\) | 0.138935 | 0.00535554 | 0.00267777 | − | 0.999996i | \(-0.499148\pi\) | ||||
0.00267777 | + | 0.999996i | \(0.499148\pi\) | |||||||
\(674\) | −11.4622 | −0.441507 | ||||||||
\(675\) | 15.8766 | + | 20.5654i | 0.611090 | + | 0.791561i | ||||
\(676\) | −4.88418 | −0.187853 | ||||||||
\(677\) | 30.4756i | 1.17127i | 0.810574 | + | 0.585637i | \(0.199155\pi\) | ||||
−0.810574 | + | 0.585637i | \(0.800845\pi\) | |||||||
\(678\) | 3.51118 | + | 26.1472i | 0.134846 | + | 1.00418i | ||||
\(679\) | 13.5975 | 0.521826 | ||||||||
\(680\) | 7.55637 | − | 0.976288i | 0.289774 | − | 0.0374390i | ||||
\(681\) | −0.941095 | − | 7.00820i | −0.0360628 | − | 0.268555i | ||||
\(682\) | 13.2306 | − | 9.43474i | 0.506624 | − | 0.361275i | ||||
\(683\) | 1.84243 | 0.0704985 | 0.0352492 | − | 0.999379i | \(-0.488777\pi\) | ||||
0.0352492 | + | 0.999379i | \(0.488777\pi\) | |||||||
\(684\) | −6.44566 | + | 1.76290i | −0.246456 | + | 0.0674061i | ||||
\(685\) | −41.7440 | + | 5.39335i | −1.59496 | + | 0.206069i | ||||
\(686\) | 11.1594i | 0.426069i | ||||||||
\(687\) | −12.4608 | + | 1.67330i | −0.475409 | + | 0.0638402i | ||||
\(688\) | −8.29665 | −0.316307 | ||||||||
\(689\) | − | 31.1945i | − | 1.18842i | ||||||
\(690\) | 3.75266 | + | 13.9953i | 0.142861 | + | 0.532791i | ||||
\(691\) | 27.3382 | 1.03999 | 0.519996 | − | 0.854169i | \(-0.325933\pi\) | ||||
0.519996 | + | 0.854169i | \(0.325933\pi\) | |||||||
\(692\) | −16.6921 | −0.634539 | ||||||||
\(693\) | 9.44749 | + | 34.5427i | 0.358880 | + | 1.31217i | ||||
\(694\) | − | 11.5962i | − | 0.440184i | ||||||
\(695\) | 46.2218 | − | 5.97189i | 1.75329 | − | 0.226527i | ||||
\(696\) | 1.30840 | + | 9.74344i | 0.0495947 | + | 0.369324i | ||||
\(697\) | 1.49292 | 0.0565484 | ||||||||
\(698\) | 7.63161 | 0.288861 | ||||||||
\(699\) | −0.985333 | − | 7.33763i | −0.0372687 | − | 0.277535i | ||||
\(700\) | −5.19760 | − | 19.7787i | −0.196451 | − | 0.747564i | ||||
\(701\) | − | 17.1268i | − | 0.646871i | −0.946250 | − | 0.323435i | \(-0.895162\pi\) | ||
0.946250 | − | 0.323435i | \(-0.104838\pi\) | |||||||
\(702\) | −5.77079 | − | 13.6318i | −0.217805 | − | 0.514498i | ||||
\(703\) | 3.37276 | 0.127206 | ||||||||
\(704\) | −2.91858 | −0.109998 | ||||||||
\(705\) | −29.2324 | + | 7.83830i | −1.10096 | + | 0.295208i | ||||
\(706\) | − | 1.21958i | − | 0.0458996i | ||||||
\(707\) | −1.74559 | −0.0656495 | ||||||||
\(708\) | −3.88197 | + | 0.521290i | −0.145893 | + | 0.0195913i | ||||
\(709\) | 48.3391i | 1.81541i | 0.419605 | + | 0.907707i | \(0.362169\pi\) | ||||
−0.419605 | + | 0.907707i | \(0.637831\pi\) | |||||||
\(710\) | 24.8795 | − | 3.21445i | 0.933712 | − | 0.120636i | ||||
\(711\) | 12.0070 | + | 43.9009i | 0.450296 | + | 1.64641i | ||||
\(712\) | 13.2216 | 0.495502 | ||||||||
\(713\) | −12.0940 | − | 16.9597i | −0.452924 | − | 0.635147i | ||||
\(714\) | −3.21261 | − | 23.9238i | −0.120229 | − | 0.895327i | ||||
\(715\) | −2.38228 | − | 18.4386i | −0.0890923 | − | 0.689565i | ||||
\(716\) | 23.2724 | 0.869730 | ||||||||
\(717\) | −3.97159 | − | 29.5758i | −0.148322 | − | 1.10453i | ||||
\(718\) | − | 18.5454i | − | 0.692109i | ||||||
\(719\) | 0.950880 | 0.0354618 | 0.0177309 | − | 0.999843i | \(-0.494356\pi\) | ||||
0.0177309 | + | 0.999843i | \(0.494356\pi\) | |||||||
\(720\) | 2.58423 | + | 6.19046i | 0.0963085 | + | 0.230705i | ||||
\(721\) | −48.2212 | −1.79585 | ||||||||
\(722\) | 14.0384 | 0.522455 | ||||||||
\(723\) | 20.8412 | − | 2.79866i | 0.775093 | − | 0.104083i | ||||
\(724\) | − | 8.84237i | − | 0.328624i | ||||||
\(725\) | 27.4475 | − | 7.21286i | 1.01937 | − | 0.267879i | ||||
\(726\) | 0.572120 | + | 4.26049i | 0.0212334 | + | 0.158122i | ||||
\(727\) | − | 27.5020i | − | 1.01999i | −0.860177 | − | 0.509996i | \(-0.829647\pi\) | ||
0.860177 | − | 0.509996i | \(-0.170353\pi\) | |||||||
\(728\) | 11.6518i | 0.431845i | ||||||||
\(729\) | −18.7933 | + | 19.3859i | −0.696048 | + | 0.717995i | ||||
\(730\) | −0.750905 | − | 5.81193i | −0.0277922 | − | 0.215109i | ||||
\(731\) | 28.2700i | 1.04560i | ||||||||
\(732\) | 5.16042 | − | 0.692966i | 0.190735 | − | 0.0256128i | ||||
\(733\) | − | 41.5605i | − | 1.53507i | −0.641006 | − | 0.767536i | \(-0.721483\pi\) | ||
0.641006 | − | 0.767536i | \(-0.278517\pi\) | |||||||
\(734\) | 1.68634 | 0.0622440 | ||||||||
\(735\) | −36.3925 | + | 9.75820i | −1.34236 | + | 0.359937i | ||||
\(736\) | 3.74121i | 0.137903i | ||||||||
\(737\) | 28.2560i | 1.04082i | ||||||||
\(738\) | 0.346761 | + | 1.26786i | 0.0127645 | + | 0.0466705i | ||||
\(739\) | − | 6.19512i | − | 0.227891i | −0.993487 | − | 0.113946i | \(-0.963651\pi\) | ||
0.993487 | − | 0.113946i | \(-0.0363490\pi\) | |||||||
\(740\) | −0.433840 | − | 3.35788i | −0.0159483 | − | 0.123438i | ||||
\(741\) | −1.46280 | − | 10.8932i | −0.0537371 | − | 0.400173i | ||||
\(742\) | 44.7858 | 1.64414 | ||||||||
\(743\) | 0.553173i | 0.0202939i | 0.999949 | + | 0.0101470i | \(0.00322993\pi\) | ||||
−0.999949 | + | 0.0101470i | \(0.996770\pi\) | |||||||
\(744\) | −6.59428 | − | 7.03672i | −0.241758 | − | 0.257979i | ||||
\(745\) | 33.5232 | − | 4.33122i | 1.22819 | − | 0.158684i | ||||
\(746\) | 0.208485i | 0.00763319i | ||||||||
\(747\) | −6.90962 | − | 25.2636i | −0.252810 | − | 0.924345i | ||||
\(748\) | 9.94478i | 0.363617i | ||||||||
\(749\) | 67.4819i | 2.46574i | ||||||||
\(750\) | 16.8153 | − | 9.60444i | 0.614008 | − | 0.350705i | ||||
\(751\) | −5.01637 | −0.183050 | −0.0915250 | − | 0.995803i | \(-0.529174\pi\) | ||||
−0.0915250 | + | 0.995803i | \(0.529174\pi\) | |||||||
\(752\) | −7.81439 | −0.284962 | ||||||||
\(753\) | 1.88529 | + | 14.0395i | 0.0687039 | + | 0.511628i | ||||
\(754\) | −16.1696 | −0.588861 | ||||||||
\(755\) | 5.73597 | − | 0.741091i | 0.208753 | − | 0.0269711i | ||||
\(756\) | 19.5710 | − | 8.28509i | 0.711791 | − | 0.301326i | ||||
\(757\) | −25.6984 | −0.934026 | −0.467013 | − | 0.884251i | \(-0.654670\pi\) | ||||
−0.467013 | + | 0.884251i | \(0.654670\pi\) | |||||||
\(758\) | 26.6546 | 0.968139 | ||||||||
\(759\) | −18.7441 | + | 2.51705i | −0.680367 | + | 0.0913631i | ||||
\(760\) | 0.638213 | + | 4.93970i | 0.0231504 | + | 0.179182i | ||||
\(761\) | 12.3377 | 0.447240 | 0.223620 | − | 0.974676i | \(-0.428213\pi\) | ||||
0.223620 | + | 0.974676i | \(0.428213\pi\) | |||||||
\(762\) | 4.85308 | + | 36.1402i | 0.175809 | + | 1.30922i | ||||
\(763\) | 18.1674i | 0.657705i | ||||||||
\(764\) | 15.0585i | 0.544799i | ||||||||
\(765\) | 21.0934 | − | 8.80550i | 0.762632 | − | 0.318364i | ||||
\(766\) | 1.48850i | 0.0537818i | ||||||||
\(767\) | − | 6.44227i | − | 0.232617i | ||||||
\(768\) | 0.230519 | + | 1.71664i | 0.00831814 | + | 0.0619440i | ||||
\(769\) | −9.50315 | −0.342692 | −0.171346 | − | 0.985211i | \(-0.554812\pi\) | ||||
−0.171346 | + | 0.985211i | \(0.554812\pi\) | |||||||
\(770\) | 26.4722 | − | 3.42023i | 0.953991 | − | 0.123256i | ||||
\(771\) | −0.331514 | − | 2.46874i | −0.0119392 | − | 0.0889095i | ||||
\(772\) | 13.9665i | 0.502665i | ||||||||
\(773\) | 8.90886i | 0.320429i | 0.987082 | + | 0.160215i | \(0.0512187\pi\) | ||||
−0.987082 | + | 0.160215i | \(0.948781\pi\) | |||||||
\(774\) | −24.0082 | + | 6.56628i | −0.862957 | + | 0.236020i | ||||
\(775\) | −17.8137 | + | 21.3932i | −0.639889 | + | 0.768468i | ||||
\(776\) | 3.32455i | 0.119344i | ||||||||
\(777\) | −10.6312 | + | 1.42761i | −0.381392 | + | 0.0512152i | ||||
\(778\) | 15.3464 | 0.550194 | ||||||||
\(779\) | 0.975943i | 0.0349668i | ||||||||
\(780\) | −10.6570 | + | 2.85754i | −0.381582 | + | 0.102316i | ||||
\(781\) | 32.7434i | 1.17165i | ||||||||
\(782\) | 12.7478 | 0.455861 | ||||||||
\(783\) | 11.4975 | + | 27.1593i | 0.410886 | + | 0.970594i | ||||
\(784\) | −9.72844 | −0.347444 | ||||||||
\(785\) | 4.18152 | − | 0.540255i | 0.149245 | − | 0.0192825i | ||||
\(786\) | 11.5642 | − | 1.55289i | 0.412480 | − | 0.0553898i | ||||
\(787\) | 43.8373 | 1.56263 | 0.781315 | − | 0.624136i | \(-0.214549\pi\) | ||||
0.781315 | + | 0.624136i | \(0.214549\pi\) | |||||||
\(788\) | 5.51824i | 0.196579i | ||||||||
\(789\) | 7.77752 | − | 1.04440i | 0.276887 | − | 0.0371817i | ||||
\(790\) | 33.6439 | − | 4.34682i | 1.19700 | − | 0.154653i | ||||
\(791\) | − | 62.2979i | − | 2.21506i | ||||||
\(792\) | −8.44557 | + | 2.30988i | −0.300100 | + | 0.0820779i | ||||
\(793\) | 8.56389i | 0.304113i | ||||||||
\(794\) | 18.8139i | 0.667682i | ||||||||
\(795\) | 10.9835 | + | 40.9620i | 0.389543 | + | 1.45277i | ||||
\(796\) | 18.3955i | 0.652012i | ||||||||
\(797\) | − | 33.1072i | − | 1.17272i | −0.810052 | − | 0.586358i | \(-0.800561\pi\) | ||
0.810052 | − | 0.586358i | \(-0.199439\pi\) | |||||||
\(798\) | 15.6393 | − | 2.10013i | 0.553626 | − | 0.0743436i | ||||
\(799\) | 26.6268i | 0.941987i | ||||||||
\(800\) | 4.83581 | − | 1.27079i | 0.170972 | − | 0.0449293i | ||||
\(801\) | 38.2598 | − | 10.4641i | 1.35184 | − | 0.369731i | ||||
\(802\) | −24.5289 | −0.866145 | ||||||||
\(803\) | 7.64896 | 0.269926 | ||||||||
\(804\) | 16.6195 | − | 2.23175i | 0.586124 | − | 0.0787076i | ||||
\(805\) | −4.38425 | − | 33.9336i | −0.154525 | − | 1.19600i | ||||
\(806\) | 12.9143 | − | 9.20924i | 0.454888 | − | 0.324382i | ||||
\(807\) | −3.46075 | − | 25.7717i | −0.121824 | − | 0.907207i | ||||
\(808\) | − | 0.426790i | − | 0.0150144i | ||||||
\(809\) | 36.6028 | 1.28688 | 0.643442 | − | 0.765495i | \(-0.277506\pi\) | ||||
0.643442 | + | 0.765495i | \(0.277506\pi\) | |||||||
\(810\) | 12.3774 | + | 15.8682i | 0.434898 | + | 0.557552i | ||||
\(811\) | −43.9576 | −1.54356 | −0.771780 | − | 0.635890i | \(-0.780633\pi\) | ||||
−0.771780 | + | 0.635890i | \(0.780633\pi\) | |||||||
\(812\) | − | 23.2146i | − | 0.814671i | ||||||
\(813\) | 31.0795 | − | 4.17351i | 1.09001 | − | 0.146371i | ||||
\(814\) | 4.41923 | 0.154894 | ||||||||
\(815\) | −15.4474 | + | 1.99582i | −0.541100 | + | 0.0699105i | ||||
\(816\) | 5.84929 | − | 0.785471i | 0.204766 | − | 0.0274970i | ||||
\(817\) | −18.4805 | −0.646550 | ||||||||
\(818\) | − | 22.5622i | − | 0.788869i | ||||||
\(819\) | 9.22169 | + | 33.7171i | 0.322232 | + | 1.17817i | ||||
\(820\) | 0.971637 | − | 0.125536i | 0.0339310 | − | 0.00438391i | ||||
\(821\) | 6.09440 | 0.212696 | 0.106348 | − | 0.994329i | \(-0.466084\pi\) | ||||
0.106348 | + | 0.994329i | \(0.466084\pi\) | |||||||
\(822\) | −32.3135 | + | 4.33921i | −1.12706 | + | 0.151347i | ||||
\(823\) | −46.0283 | −1.60445 | −0.802223 | − | 0.597024i | \(-0.796350\pi\) | ||||
−0.802223 | + | 0.597024i | \(0.796350\pi\) | |||||||
\(824\) | − | 11.7899i | − | 0.410720i | ||||||
\(825\) | 9.62037 | + | 23.3732i | 0.334938 | + | 0.813751i | ||||
\(826\) | 9.24912 | 0.321818 | ||||||||
\(827\) | − | 41.7520i | − | 1.45186i | −0.687769 | − | 0.725930i | \(-0.741410\pi\) | ||
0.687769 | − | 0.725930i | \(-0.258590\pi\) | |||||||
\(828\) | 2.96094 | + | 10.8260i | 0.102900 | + | 0.376231i | ||||
\(829\) | 7.29517i | 0.253372i | 0.991943 | + | 0.126686i | \(0.0404340\pi\) | ||||
−0.991943 | + | 0.126686i | \(0.959566\pi\) | |||||||
\(830\) | −19.3610 | + | 2.50145i | −0.672030 | + | 0.0868268i | ||||
\(831\) | 4.66046 | + | 34.7057i | 0.161669 | + | 1.20393i | ||||
\(832\) | −2.84883 | −0.0987653 | ||||||||
\(833\) | 33.1487i | 1.14853i | ||||||||
\(834\) | 35.7797 | − | 4.80467i | 1.23895 | − | 0.166372i | ||||
\(835\) | 20.6066 | − | 2.66238i | 0.713120 | − | 0.0921355i | ||||
\(836\) | −6.50104 | −0.224843 | ||||||||
\(837\) | −24.6511 | − | 15.1433i | −0.852068 | − | 0.523430i | ||||
\(838\) | 14.8743i | 0.513824i | ||||||||
\(839\) | − | 11.1406i | − | 0.384616i | −0.981335 | − | 0.192308i | \(-0.938403\pi\) | ||
0.981335 | − | 0.192308i | \(-0.0615972\pi\) | |||||||
\(840\) | −4.10256 | − | 15.3002i | −0.141552 | − | 0.527906i | ||||
\(841\) | 3.21552 | 0.110880 | ||||||||
\(842\) | −0.454924 | −0.0156777 | ||||||||
\(843\) | −54.4641 | + | 7.31370i | −1.87584 | + | 0.251897i | ||||
\(844\) | 24.3355 | 0.837662 | ||||||||
\(845\) | 1.39942 | + | 10.8313i | 0.0481414 | + | 0.372609i | ||||
\(846\) | −22.6127 | + | 6.18461i | −0.777440 | + | 0.212631i | ||||
\(847\) | − | 10.1510i | − | 0.348792i | ||||||
\(848\) | 10.9500i | 0.376023i | ||||||||
\(849\) | 47.6532 | − | 6.39910i | 1.63545 | − | 0.219617i | ||||
\(850\) | −4.33010 | − | 16.4775i | −0.148521 | − | 0.565175i | ||||
\(851\) | − | 5.66483i | − | 0.194188i | ||||||
\(852\) | 19.2589 | − | 2.58618i | 0.659799 | − | 0.0886011i | ||||
\(853\) | − | 9.91130i | − | 0.339356i | −0.985500 | − | 0.169678i | \(-0.945727\pi\) | ||
0.985500 | − | 0.169678i | \(-0.0542728\pi\) | |||||||
\(854\) | −12.2951 | −0.420730 | ||||||||
\(855\) | 5.75628 | + | 13.7890i | 0.196861 | + | 0.471574i | ||||
\(856\) | −16.4991 | −0.563927 | ||||||||
\(857\) | 8.31059 | 0.283884 | 0.141942 | − | 0.989875i | \(-0.454665\pi\) | ||||
0.141942 | + | 0.989875i | \(0.454665\pi\) | |||||||
\(858\) | −1.91666 | − | 14.2731i | −0.0654337 | − | 0.487275i | ||||
\(859\) | 10.7888i | 0.368110i | 0.982916 | + | 0.184055i | \(0.0589224\pi\) | ||||
−0.982916 | + | 0.184055i | \(0.941078\pi\) | |||||||
\(860\) | 2.37716 | + | 18.3989i | 0.0810604 | + | 0.627399i | ||||
\(861\) | −0.413094 | − | 3.07625i | −0.0140782 | − | 0.104838i | ||||
\(862\) | 18.4340i | 0.627865i | ||||||||
\(863\) | − | 37.9404i | − | 1.29151i | −0.763546 | − | 0.645754i | \(-0.776543\pi\) | ||
0.763546 | − | 0.645754i | \(-0.223457\pi\) | |||||||
\(864\) | 2.02567 | + | 4.78504i | 0.0689148 | + | 0.162791i | ||||
\(865\) | 4.78262 | + | 37.0170i | 0.162614 | + | 1.25862i | ||||
\(866\) | 32.5252 | 1.10525 | ||||||||
\(867\) | 1.24241 | + | 9.25206i | 0.0421945 | + | 0.314216i | ||||
\(868\) | 13.2216 | + | 18.5410i | 0.448772 | + | 0.629323i | ||||
\(869\) | 44.2781i | 1.50203i | ||||||||
\(870\) | 21.2325 | − | 5.69324i | 0.719850 | − | 0.193019i | ||||
\(871\) | 27.5806i | 0.934534i | ||||||||
\(872\) | −4.44187 | −0.150421 | ||||||||
\(873\) | 2.63117 | + | 9.62032i | 0.0890517 | + | 0.325599i | ||||
\(874\) | 8.33342i | 0.281882i | ||||||||
\(875\) | −42.3727 | + | 17.1934i | −1.43246 | + | 0.581242i | ||||
\(876\) | −0.604139 | − | 4.49894i | −0.0204120 | − | 0.152005i | ||||
\(877\) | − | 21.9885i | − | 0.742498i | −0.928533 | − | 0.371249i | \(-0.878930\pi\) | ||
0.928533 | − | 0.371249i | \(-0.121070\pi\) | |||||||
\(878\) | −12.8991 | −0.435323 | ||||||||
\(879\) | −4.51988 | − | 33.6589i | −0.152452 | − | 1.13529i | ||||
\(880\) | 0.836232 | + | 6.47235i | 0.0281894 | + | 0.218183i | ||||
\(881\) | 56.3949 | 1.89999 | 0.949996 | − | 0.312262i | \(-0.101087\pi\) | ||||
0.949996 | + | 0.312262i | \(0.101087\pi\) | |||||||
\(882\) | −28.1514 | + | 7.69945i | −0.947907 | + | 0.259254i | ||||
\(883\) | −30.8908 | −1.03956 | −0.519780 | − | 0.854300i | \(-0.673986\pi\) | ||||
−0.519780 | + | 0.854300i | \(0.673986\pi\) | |||||||
\(884\) | 9.70710i | 0.326485i | ||||||||
\(885\) | 2.26829 | + | 8.45944i | 0.0762479 | + | 0.284361i | ||||
\(886\) | 13.0784 | 0.439378 | ||||||||
\(887\) | −11.8004 | −0.396219 | −0.198109 | − | 0.980180i | \(-0.563480\pi\) | ||||
−0.198109 | + | 0.980180i | \(0.563480\pi\) | |||||||
\(888\) | −0.349045 | − | 2.59929i | −0.0117132 | − | 0.0872264i | ||||
\(889\) | − | 86.1070i | − | 2.88794i | ||||||
\(890\) | −3.78827 | − | 29.3208i | −0.126983 | − | 0.982835i | ||||
\(891\) | −22.6110 | + | 13.3683i | −0.757497 | + | 0.447854i | ||||
\(892\) | −13.5432 | −0.453460 | ||||||||
\(893\) | −17.4063 | −0.582479 | ||||||||
\(894\) | 25.9498 | − | 3.48467i | 0.867893 | − | 0.116545i | ||||
\(895\) | −6.66801 | − | 51.6097i | −0.222887 | − | 1.72512i | ||||
\(896\) | − | 4.09004i | − | 0.136639i | ||||||
\(897\) | −18.2961 | + | 2.45689i | −0.610889 | + | 0.0820332i | ||||
\(898\) | −5.97465 | −0.199377 | ||||||||
\(899\) | −25.7299 | + | 18.3481i | −0.858141 | + | 0.611942i | ||||
\(900\) | 12.9877 | − | 7.50457i | 0.432925 | − | 0.250152i | ||||
\(901\) | 37.3109 | 1.24301 | ||||||||
\(902\) | 1.27875i | 0.0425777i | ||||||||
\(903\) | 58.2519 | − | 7.82235i | 1.93850 | − | 0.260312i | ||||
\(904\) | 15.2316 | 0.506596 | ||||||||
\(905\) | −19.6091 | + | 2.53352i | −0.651830 | + | 0.0842169i | ||||
\(906\) | 4.44014 | − | 0.596243i | 0.147514 | − | 0.0198089i | ||||
\(907\) | 18.7685i | 0.623199i | 0.950214 | + | 0.311599i | \(0.100865\pi\) | ||||
−0.950214 | + | 0.311599i | \(0.899135\pi\) | |||||||
\(908\) | −4.08250 | −0.135483 | ||||||||
\(909\) | −0.337777 | − | 1.23501i | −0.0112034 | − | 0.0409627i | ||||
\(910\) | 25.8395 | − | 3.33848i | 0.856571 | − | 0.110670i | ||||
\(911\) | 25.8413 | 0.856161 | 0.428081 | − | 0.903741i | \(-0.359190\pi\) | ||||
0.428081 | + | 0.903741i | \(0.359190\pi\) | |||||||
\(912\) | 0.513473 | + | 3.82376i | 0.0170028 | + | 0.126617i | ||||
\(913\) | − | 25.4806i | − | 0.843285i | ||||||
\(914\) | 11.2528 | 0.372209 | ||||||||
\(915\) | −3.01531 | − | 11.2454i | −0.0996831 | − | 0.371761i | ||||
\(916\) | 7.25882i | 0.239838i | ||||||||
\(917\) | −27.5526 | −0.909866 | ||||||||
\(918\) | 16.3046 | − | 6.90228i | 0.538131 | − | 0.227809i | ||||
\(919\) | −54.9584 | −1.81291 | −0.906455 | − | 0.422303i | \(-0.861222\pi\) | ||||
−0.906455 | + | 0.422303i | \(0.861222\pi\) | |||||||
\(920\) | 8.29665 | − | 1.07193i | 0.273532 | − | 0.0353406i | ||||
\(921\) | −16.7333 | + | 2.24703i | −0.551381 | + | 0.0740421i | ||||
\(922\) | 18.7636 | 0.617945 | ||||||||
\(923\) | 31.9608i | 1.05200i | ||||||||
\(924\) | 20.4918 | − | 2.75173i | 0.674130 | − | 0.0905254i | ||||
\(925\) | −7.32224 | + | 1.92420i | −0.240754 | + | 0.0632672i | ||||
\(926\) | 16.0690 | 0.528062 | ||||||||
\(927\) | −9.33097 | − | 34.1167i | −0.306469 | − | 1.12054i | ||||
\(928\) | 5.67587 | 0.186320 | ||||||||
\(929\) | −48.5580 | −1.59314 | −0.796568 | − | 0.604549i | \(-0.793353\pi\) | ||||
−0.796568 | + | 0.604549i | \(0.793353\pi\) | |||||||
\(930\) | −13.7155 | + | 16.6399i | −0.449748 | + | 0.545643i | ||||
\(931\) | −21.6697 | −0.710197 | ||||||||
\(932\) | −4.27441 | −0.140013 | ||||||||
\(933\) | 10.6312 | − | 1.42761i | 0.348051 | − | 0.0467379i | ||||
\(934\) | −36.1871 | −1.18408 | ||||||||
\(935\) | 22.0539 | − | 2.84938i | 0.721239 | − | 0.0931846i | ||||
\(936\) | −8.24371 | + | 2.25467i | −0.269454 | + | 0.0736962i | ||||
\(937\) | 16.8277i | 0.549737i | 0.961482 | + | 0.274868i | \(0.0886343\pi\) | ||||
−0.961482 | + | 0.274868i | \(0.911366\pi\) | |||||||
\(938\) | −39.5973 | −1.29290 | ||||||||
\(939\) | 4.93778 | + | 36.7709i | 0.161138 | + | 1.19997i | ||||
\(940\) | 2.23898 | + | 17.3295i | 0.0730275 | + | 0.565225i | ||||
\(941\) | −34.0449 | −1.10983 | −0.554916 | − | 0.831907i | \(-0.687250\pi\) | ||||
−0.554916 | + | 0.831907i | \(0.687250\pi\) | |||||||
\(942\) | 3.23686 | − | 0.434661i | 0.105463 | − | 0.0141620i | ||||
\(943\) | 1.63918 | 0.0533790 | ||||||||
\(944\) | 2.26138i | 0.0736015i | ||||||||
\(945\) | −23.9808 | − | 41.0276i | −0.780095 | − | 1.33463i | ||||
\(946\) | −24.2145 | −0.787280 | ||||||||
\(947\) | 37.7618i | 1.22709i | 0.789659 | + | 0.613547i | \(0.210258\pi\) | ||||
−0.789659 | + | 0.613547i | \(0.789742\pi\) | |||||||
\(948\) | 26.0433 | − | 3.49722i | 0.845848 | − | 0.113585i | ||||
\(949\) | 7.46614 | 0.242361 | ||||||||
\(950\) | 10.7716 | − | 2.83065i | 0.349477 | − | 0.0918383i | ||||
\(951\) | 4.79180 | + | 35.6838i | 0.155385 | + | 1.15713i | ||||
\(952\) | −13.9364 | −0.451682 | ||||||||
\(953\) | 31.3086i | 1.01418i | 0.861892 | + | 0.507092i | \(0.169280\pi\) | ||||
−0.861892 | + | 0.507092i | \(0.830720\pi\) | |||||||
\(954\) | 8.66620 | + | 31.6861i | 0.280579 | + | 1.02588i | ||||
\(955\) | 33.3944 | − | 4.31458i | 1.08062 | − | 0.139616i | ||||
\(956\) | −17.2289 | −0.557222 | ||||||||
\(957\) | 3.81866 | + | 28.4370i | 0.123440 | + | 0.919239i | ||||
\(958\) | − | 12.6657i | − | 0.409211i | ||||||
\(959\) | 76.9895 | 2.48612 | ||||||||
\(960\) | 3.74084 | − | 1.00306i | 0.120735 | − | 0.0323736i | ||||
\(961\) | 10.1000 | − | 29.3085i | 0.325808 | − | 0.945436i | ||||
\(962\) | 4.31361 | 0.139076 | ||||||||
\(963\) | −47.7437 | + | 13.0580i | −1.53852 | + | 0.420788i | ||||
\(964\) | − | 12.1407i | − | 0.391025i | ||||||
\(965\) | 30.9726 | − | 4.00168i | 0.997043 | − | 0.128819i | ||||
\(966\) | −3.52734 | − | 26.2676i | −0.113490 | − | 0.845146i | ||||
\(967\) | −37.5527 | −1.20761 | −0.603806 | − | 0.797131i | \(-0.706350\pi\) | ||||
−0.603806 | + | 0.797131i | \(0.706350\pi\) | |||||||
\(968\) | 2.48188 | 0.0797705 | ||||||||
\(969\) | 13.0291 | − | 1.74961i | 0.418554 | − | 0.0562055i | ||||
\(970\) | 7.37264 | − | 0.952550i | 0.236721 | − | 0.0305845i | ||||
\(971\) | − | 23.0698i | − | 0.740344i | −0.928963 | − | 0.370172i | \(-0.879299\pi\) | ||
0.928963 | − | 0.370172i | \(-0.120701\pi\) | |||||||
\(972\) | 9.64880 | + | 12.2434i | 0.309485 | + | 0.392707i | ||||
\(973\) | −85.2481 | −2.73293 | ||||||||
\(974\) | 29.5112 | 0.945600 | ||||||||
\(975\) | 9.39044 | + | 22.8146i | 0.300735 | + | 0.730652i | ||||
\(976\) | − | 3.00611i | − | 0.0962233i | ||||||
\(977\) | −10.3277 | −0.330411 | −0.165205 | − | 0.986259i | \(-0.552829\pi\) | ||||
−0.165205 | + | 0.986259i | \(0.552829\pi\) | |||||||
\(978\) | −11.9577 | + | 1.60573i | −0.382364 | + | 0.0513456i | ||||
\(979\) | 38.5885 | 1.23329 | ||||||||
\(980\) | 2.78739 | + | 21.5741i | 0.0890400 | + | 0.689160i | ||||
\(981\) | −12.8535 | + | 3.51546i | −0.410381 | + | 0.112240i | ||||
\(982\) | −24.9330 | −0.795643 | ||||||||
\(983\) | − | 47.3825i | − | 1.51127i | −0.654995 | − | 0.755633i | \(-0.727329\pi\) | ||
0.654995 | − | 0.755633i | \(-0.272671\pi\) | |||||||
\(984\) | 0.752131 | − | 0.101000i | 0.0239771 | − | 0.00321976i | ||||
\(985\) | 12.2375 | − | 1.58109i | 0.389918 | − | 0.0503776i | ||||
\(986\) | − | 19.3400i | − | 0.615910i | ||||||
\(987\) | 54.8659 | − | 7.36766i | 1.74640 | − | 0.234515i | ||||
\(988\) | −6.34566 | −0.201882 | ||||||||
\(989\) | 31.0395i | 0.987000i | ||||||||
\(990\) | 7.54229 | + | 18.0674i | 0.239710 | + | 0.574218i | ||||
\(991\) | − | 30.0174i | − | 0.953535i | −0.879029 | − | 0.476768i | \(-0.841808\pi\) | ||
0.879029 | − | 0.476768i | \(-0.158192\pi\) | |||||||
\(992\) | −4.53321 | + | 3.23264i | −0.143930 | + | 0.102637i | ||||
\(993\) | −42.4945 | + | 5.70637i | −1.34852 | + | 0.181086i | ||||
\(994\) | −45.8859 | −1.45541 | ||||||||
\(995\) | 40.7945 | − | 5.27068i | 1.29327 | − | 0.167092i | ||||
\(996\) | −14.9871 | + | 2.01254i | −0.474884 | + | 0.0637698i | ||||
\(997\) | − | 15.6584i | − | 0.495905i | −0.968772 | − | 0.247953i | \(-0.920242\pi\) | ||
0.968772 | − | 0.247953i | \(-0.0797577\pi\) | |||||||
\(998\) | 38.9920i | 1.23427i | ||||||||
\(999\) | −3.06721 | − | 7.24537i | −0.0970423 | − | 0.229233i |
(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 | 930.2.e.a.929.18 | yes | 32 | |
3.2 | odd | 2 | 930.2.e.b.929.17 | yes | 32 | ||
5.4 | even | 2 | 930.2.e.b.929.15 | yes | 32 | ||
15.14 | odd | 2 | inner | 930.2.e.a.929.16 | yes | 32 | |
31.30 | odd | 2 | inner | 930.2.e.a.929.15 | ✓ | 32 | |
93.92 | even | 2 | 930.2.e.b.929.16 | yes | 32 | ||
155.154 | odd | 2 | 930.2.e.b.929.18 | yes | 32 | ||
465.464 | even | 2 | inner | 930.2.e.a.929.17 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.e.a.929.15 | ✓ | 32 | 31.30 | odd | 2 | inner | |
930.2.e.a.929.16 | yes | 32 | 15.14 | odd | 2 | inner | |
930.2.e.a.929.17 | yes | 32 | 465.464 | even | 2 | inner | |
930.2.e.a.929.18 | yes | 32 | 1.1 | even | 1 | trivial | |
930.2.e.b.929.15 | yes | 32 | 5.4 | even | 2 | ||
930.2.e.b.929.16 | yes | 32 | 93.92 | even | 2 | ||
930.2.e.b.929.17 | yes | 32 | 3.2 | odd | 2 | ||
930.2.e.b.929.18 | yes | 32 | 155.154 | odd | 2 |