Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(37,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("603.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.81497924188\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.3665654523963.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 8x^{8} + 21x^{6} - 5x^{5} + 26x^{4} + 4x^{3} + 13x^{2} - 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 201) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Root | \(1.39901 - 2.42316i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 603.37 |
Dual form | 603.2.g.f.163.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0732181 | + | 0.126817i | 0.0517730 | + | 0.0896735i | 0.890750 | − | 0.454493i | \(-0.150179\pi\) |
−0.838977 | + | 0.544166i | \(0.816846\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.989278 | − | 1.71348i | 0.494639 | − | 0.856740i | ||||
\(5\) | 1.65158 | 0.738610 | 0.369305 | − | 0.929308i | \(-0.379596\pi\) | ||||
0.369305 | + | 0.929308i | \(0.379596\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.22031 | − | 2.11364i | 0.461234 | − | 0.798882i | −0.537788 | − | 0.843080i | \(-0.680740\pi\) |
0.999023 | + | 0.0441984i | \(0.0140734\pi\) | |||||||
\(8\) | 0.582605 | 0.205982 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.120926 | + | 0.209450i | 0.0382401 | + | 0.0662338i | ||||
\(11\) | −0.0152111 | + | 0.0263464i | −0.00458632 | + | 0.00794374i | −0.868309 | − | 0.496023i | \(-0.834793\pi\) |
0.863723 | + | 0.503967i | \(0.168127\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0993860 | − | 0.172142i | −0.0275647 | − | 0.0477435i | 0.851914 | − | 0.523682i | \(-0.175442\pi\) |
−0.879479 | + | 0.475938i | \(0.842109\pi\) | |||||||
\(14\) | 0.357396 | 0.0955180 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.93590 | − | 3.35308i | −0.483975 | − | 0.838269i | ||||
\(17\) | −0.847470 | − | 1.46786i | −0.205542 | − | 0.356009i | 0.744764 | − | 0.667328i | \(-0.232562\pi\) |
−0.950305 | + | 0.311320i | \(0.899229\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.97511 | + | 5.15305i | 0.682538 | + | 1.18219i | 0.974204 | + | 0.225670i | \(0.0724570\pi\) |
−0.291666 | + | 0.956520i | \(0.594210\pi\) | |||||||
\(20\) | 1.63388 | − | 2.82995i | 0.365346 | − | 0.632797i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.00445491 | −0.000949791 | ||||||||
\(23\) | −1.79419 | − | 3.10762i | −0.374114 | − | 0.647984i | 0.616080 | − | 0.787684i | \(-0.288720\pi\) |
−0.990194 | + | 0.139699i | \(0.955386\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.27227 | −0.454455 | ||||||||
\(26\) | 0.0145537 | − | 0.0252078i | 0.00285422 | − | 0.00494365i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.41446 | − | 4.18196i | −0.456289 | − | 0.790316i | ||||
\(29\) | −2.17615 | + | 3.76920i | −0.404100 | + | 0.699922i | −0.994216 | − | 0.107396i | \(-0.965749\pi\) |
0.590116 | + | 0.807318i | \(0.299082\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.519043 | + | 0.899009i | −0.0932229 | + | 0.161467i | −0.908866 | − | 0.417089i | \(-0.863050\pi\) |
0.815643 | + | 0.578556i | \(0.196384\pi\) | |||||||
\(32\) | 0.866091 | − | 1.50011i | 0.153105 | − | 0.265185i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.124100 | − | 0.214948i | 0.0212830 | − | 0.0368633i | ||||
\(35\) | 2.01545 | − | 3.49085i | 0.340673 | − | 0.590062i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.72055 | + | 2.98007i | 0.282856 | + | 0.489921i | 0.972087 | − | 0.234621i | \(-0.0753848\pi\) |
−0.689231 | + | 0.724542i | \(0.742051\pi\) | |||||||
\(38\) | −0.435664 | + | 0.754593i | −0.0706741 | + | 0.122411i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.962220 | 0.152140 | ||||||||
\(41\) | 3.49665 | − | 6.05638i | 0.546085 | − | 0.945848i | −0.452452 | − | 0.891789i | \(-0.649451\pi\) |
0.998538 | − | 0.0540590i | \(-0.0172159\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.37165 | −0.209174 | −0.104587 | − | 0.994516i | \(-0.533352\pi\) | ||||
−0.104587 | + | 0.994516i | \(0.533352\pi\) | |||||||
\(44\) | 0.0300960 | + | 0.0521278i | 0.00453715 | + | 0.00785857i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.262734 | − | 0.455069i | 0.0387380 | − | 0.0670962i | ||||
\(47\) | 2.74199 | − | 4.74927i | 0.399960 | − | 0.692752i | −0.593760 | − | 0.804642i | \(-0.702357\pi\) |
0.993721 | + | 0.111890i | \(0.0356905\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.521679 | + | 0.903574i | 0.0745255 | + | 0.129082i | ||||
\(50\) | −0.166372 | − | 0.288164i | −0.0235285 | − | 0.0407526i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.393281 | −0.0545383 | ||||||||
\(53\) | 6.67481 | 0.916856 | 0.458428 | − | 0.888732i | \(-0.348413\pi\) | ||||
0.458428 | + | 0.888732i | \(0.348413\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0251224 | + | 0.0435133i | −0.00338750 | + | 0.00586733i | ||||
\(56\) | 0.710959 | − | 1.23142i | 0.0950060 | − | 0.164555i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.637333 | −0.0836860 | ||||||||
\(59\) | 7.66502 | 0.997900 | 0.498950 | − | 0.866631i | \(-0.333719\pi\) | ||||
0.498950 | + | 0.866631i | \(0.333719\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.19840 | + | 2.07569i | 0.153439 | + | 0.265764i | 0.932490 | − | 0.361197i | \(-0.117632\pi\) |
−0.779050 | + | 0.626961i | \(0.784298\pi\) | |||||||
\(62\) | −0.152013 | −0.0193057 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.48994 | −0.936243 | ||||||||
\(65\) | −0.164144 | − | 0.284306i | −0.0203596 | − | 0.0352638i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.201842 | + | 8.18286i | 0.0246589 | + | 0.999696i | ||||
\(68\) | −3.35353 | −0.406676 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.590269 | 0.0705506 | ||||||||
\(71\) | −5.29802 | + | 9.17644i | −0.628759 | + | 1.08904i | 0.359042 | + | 0.933321i | \(0.383104\pi\) |
−0.987801 | + | 0.155721i | \(0.950230\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.00288 | − | 1.73705i | −0.117379 | − | 0.203306i | 0.801349 | − | 0.598197i | \(-0.204116\pi\) |
−0.918728 | + | 0.394891i | \(0.870782\pi\) | |||||||
\(74\) | −0.251950 | + | 0.436391i | −0.0292886 | + | 0.0507294i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.7729 | 1.35044 | ||||||||
\(77\) | 0.0371246 | + | 0.0643016i | 0.00423074 | + | 0.00732785i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.81596 | − | 10.0735i | 0.654347 | − | 1.13336i | −0.327710 | − | 0.944778i | \(-0.606277\pi\) |
0.982057 | − | 0.188584i | \(-0.0603897\pi\) | |||||||
\(80\) | −3.19730 | − | 5.53788i | −0.357469 | − | 0.619154i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.02407 | 0.113090 | ||||||||
\(83\) | 3.82603 | + | 6.62687i | 0.419961 | + | 0.727394i | 0.995935 | − | 0.0900742i | \(-0.0287104\pi\) |
−0.575974 | + | 0.817468i | \(0.695377\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.39967 | − | 2.42429i | −0.151815 | − | 0.262952i | ||||
\(86\) | −0.100429 | − | 0.173949i | −0.0108296 | − | 0.0187574i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.00886206 | + | 0.0153495i | −0.000944699 | + | 0.00163627i | ||||
\(89\) | −18.1923 | −1.92838 | −0.964188 | − | 0.265218i | \(-0.914556\pi\) | ||||
−0.964188 | + | 0.265218i | \(0.914556\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.485127 | −0.0508552 | ||||||||
\(92\) | −7.09980 | −0.740205 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.803053 | 0.0828286 | ||||||||
\(95\) | 4.91365 | + | 8.51068i | 0.504129 | + | 0.873178i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.0738755 | − | 0.127956i | −0.00750092 | − | 0.0129920i | 0.862251 | − | 0.506482i | \(-0.169054\pi\) |
−0.869752 | + | 0.493490i | \(0.835721\pi\) | |||||||
\(98\) | −0.0763926 | + | 0.132316i | −0.00771682 | + | 0.0133659i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.24791 | + | 3.89350i | −0.224791 | + | 0.389350i | ||||
\(101\) | −7.09746 | + | 12.2932i | −0.706223 | + | 1.22321i | 0.260025 | + | 0.965602i | \(0.416269\pi\) |
−0.966248 | + | 0.257613i | \(0.917064\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.74592 | − | 6.48812i | 0.369096 | − | 0.639294i | −0.620328 | − | 0.784342i | \(-0.713001\pi\) |
0.989425 | + | 0.145049i | \(0.0463339\pi\) | |||||||
\(104\) | −0.0579027 | − | 0.100290i | −0.00567783 | − | 0.00983429i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.488717 | + | 0.846483i | 0.0474684 | + | 0.0822177i | ||||
\(107\) | 18.7944 | 1.81692 | 0.908459 | − | 0.417973i | \(-0.137259\pi\) | ||||
0.908459 | + | 0.417973i | \(0.137259\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.56778 | −0.916427 | −0.458213 | − | 0.888842i | \(-0.651510\pi\) | ||||
−0.458213 | + | 0.888842i | \(0.651510\pi\) | |||||||
\(110\) | −0.00735766 | −0.000701525 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.44960 | −0.892903 | ||||||||
\(113\) | −9.54539 | + | 16.5331i | −0.897955 | + | 1.55530i | −0.0678504 | + | 0.997696i | \(0.521614\pi\) |
−0.830104 | + | 0.557608i | \(0.811719\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.96325 | − | 5.13250i | −0.276324 | − | 0.478608i | ||||
\(116\) | 4.30563 | + | 7.45757i | 0.399768 | + | 0.692418i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.561218 | + | 0.972058i | 0.0516643 | + | 0.0894852i | ||||
\(119\) | −4.13671 | −0.379212 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.49954 | + | 9.52548i | 0.499958 | + | 0.865953i | ||||
\(122\) | −0.175489 | + | 0.303956i | −0.0158880 | + | 0.0275189i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.02696 | + | 1.77874i | 0.0922234 | + | 0.159736i | ||||
\(125\) | −12.0108 | −1.07428 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.89367 | + | 10.2081i | −0.522979 | + | 0.905826i | 0.476664 | + | 0.879086i | \(0.341846\pi\) |
−0.999642 | + | 0.0267398i | \(0.991487\pi\) | |||||||
\(128\) | −2.28058 | − | 3.95008i | −0.201577 | − | 0.349141i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0240366 | − | 0.0416327i | 0.00210815 | − | 0.00365143i | ||||
\(131\) | −1.46338 | −0.127856 | −0.0639281 | − | 0.997955i | \(-0.520363\pi\) | ||||
−0.0639281 | + | 0.997955i | \(0.520363\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.5223 | 1.25924 | ||||||||
\(134\) | −1.02295 | + | 0.624731i | −0.0883696 | + | 0.0539685i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.493740 | − | 0.855183i | −0.0423379 | − | 0.0733313i | ||||
\(137\) | 6.71932 | 0.574070 | 0.287035 | − | 0.957920i | \(-0.407330\pi\) | ||||
0.287035 | + | 0.957920i | \(0.407330\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.83978 | −0.495324 | −0.247662 | − | 0.968846i | \(-0.579662\pi\) | ||||
−0.247662 | + | 0.968846i | \(0.579662\pi\) | |||||||
\(140\) | −3.98767 | − | 6.90685i | −0.337020 | − | 0.583736i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.55164 | −0.130211 | ||||||||
\(143\) | 0.00604708 | 0.000505682 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.59409 | + | 6.22514i | −0.298473 | + | 0.516970i | ||||
\(146\) | 0.146859 | − | 0.254367i | 0.0121541 | − | 0.0210515i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.80840 | 0.559647 | ||||||||
\(149\) | −17.9179 | −1.46789 | −0.733946 | − | 0.679208i | \(-0.762324\pi\) | ||||
−0.733946 | + | 0.679208i | \(0.762324\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.24499 | − | 16.0128i | −0.752346 | − | 1.30310i | −0.946683 | − | 0.322167i | \(-0.895589\pi\) |
0.194337 | − | 0.980935i | \(-0.437745\pi\) | |||||||
\(152\) | 1.73331 | + | 3.00219i | 0.140590 | + | 0.243510i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.00543638 | + | 0.00941609i | −0.000438076 | + | 0.000758770i | ||||
\(155\) | −0.857243 | + | 1.48479i | −0.0688554 | + | 0.119261i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.955212 | + | 1.65448i | 0.0762342 | + | 0.132041i | 0.901622 | − | 0.432524i | \(-0.142377\pi\) |
−0.825388 | + | 0.564566i | \(0.809044\pi\) | |||||||
\(158\) | 1.70334 | 0.135510 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.43042 | − | 2.47756i | 0.113085 | − | 0.195868i | ||||
\(161\) | −8.75787 | −0.690217 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.65087 | + | 14.9837i | −0.677588 | + | 1.17362i | 0.298117 | + | 0.954529i | \(0.403642\pi\) |
−0.975705 | + | 0.219088i | \(0.929692\pi\) | |||||||
\(164\) | −6.91832 | − | 11.9829i | −0.540230 | − | 0.935706i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.560269 | + | 0.970414i | −0.0434853 | + | 0.0753187i | ||||
\(167\) | 1.27911 | − | 2.21549i | 0.0989809 | − | 0.171440i | −0.812282 | − | 0.583265i | \(-0.801775\pi\) |
0.911263 | + | 0.411825i | \(0.135108\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.48024 | − | 11.2241i | 0.498480 | − | 0.863393i | ||||
\(170\) | 0.204962 | − | 0.355005i | 0.0157199 | − | 0.0272276i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.35694 | + | 2.35029i | −0.103466 | + | 0.179208i | ||||
\(173\) | 1.15579 | + | 2.00188i | 0.0878730 | + | 0.152200i | 0.906612 | − | 0.421966i | \(-0.138660\pi\) |
−0.818739 | + | 0.574166i | \(0.805326\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.77288 | + | 4.80277i | −0.209610 | + | 0.363056i | ||||
\(176\) | 0.117789 | 0.00887865 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.33200 | − | 2.30710i | −0.0998379 | − | 0.172924i | ||||
\(179\) | 19.9835 | 1.49364 | 0.746818 | − | 0.665029i | \(-0.231581\pi\) | ||||
0.746818 | + | 0.665029i | \(0.231581\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.57734 | + | 16.5884i | −0.711878 | + | 1.23301i | 0.252273 | + | 0.967656i | \(0.418822\pi\) |
−0.964151 | + | 0.265353i | \(0.914511\pi\) | |||||||
\(182\) | −0.0355201 | − | 0.0615226i | −0.00263293 | − | 0.00456036i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.04530 | − | 1.81052i | −0.0770607 | − | 0.133473i | ||||
\(185\) | 2.84163 | + | 4.92184i | 0.208920 | + | 0.361861i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0515638 | 0.00377072 | ||||||||
\(188\) | −5.42518 | − | 9.39669i | −0.395672 | − | 0.685324i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.719536 | + | 1.24627i | −0.0522006 | + | 0.0904141i | ||||
\(191\) | 9.38531 | + | 16.2558i | 0.679097 | + | 1.17623i | 0.975253 | + | 0.221092i | \(0.0709620\pi\) |
−0.296156 | + | 0.955140i | \(0.595705\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.4313 | −0.750859 | −0.375430 | − | 0.926851i | \(-0.622505\pi\) | ||||
−0.375430 | + | 0.926851i | \(0.622505\pi\) | |||||||
\(194\) | 0.0108181 | − | 0.0187374i | 0.000776691 | − | 0.00134527i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.06434 | 0.147453 | ||||||||
\(197\) | 8.74723 | − | 15.1507i | 0.623215 | − | 1.07944i | −0.365669 | − | 0.930745i | \(-0.619160\pi\) |
0.988883 | − | 0.148694i | \(-0.0475070\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.975590 | + | 1.68977i | 0.0691577 | + | 0.119785i | 0.898531 | − | 0.438911i | \(-0.144635\pi\) |
−0.829373 | + | 0.558695i | \(0.811302\pi\) | |||||||
\(200\) | −1.32384 | −0.0936095 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.07865 | −0.146253 | ||||||||
\(203\) | 5.31115 | + | 9.19919i | 0.372770 | + | 0.645656i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.77501 | − | 10.0026i | 0.403344 | − | 0.698613i | ||||
\(206\) | 1.09708 | 0.0764369 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.384802 | + | 0.666497i | −0.0266812 | + | 0.0462133i | ||||
\(209\) | −0.181019 | −0.0125213 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.39263 | + | 4.14415i | 0.164715 | + | 0.285295i | 0.936554 | − | 0.350523i | \(-0.113996\pi\) |
−0.771839 | + | 0.635818i | \(0.780663\pi\) | |||||||
\(212\) | 6.60325 | − | 11.4372i | 0.453513 | − | 0.785507i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.37609 | + | 2.38345i | 0.0940674 | + | 0.162929i | ||||
\(215\) | −2.26539 | −0.154498 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.26679 | + | 2.19414i | 0.0859952 | + | 0.148948i | ||||
\(218\) | −0.700534 | − | 1.21336i | −0.0474462 | − | 0.0821792i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0497061 | + | 0.0860935i | 0.00335118 | + | 0.00580442i | ||||
\(221\) | −0.168453 | + | 0.291770i | −0.0113314 | + | 0.0196265i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.8622 | 1.12918 | 0.564589 | − | 0.825372i | \(-0.309035\pi\) | ||||
0.564589 | + | 0.825372i | \(0.309035\pi\) | |||||||
\(224\) | −2.11380 | − | 3.66121i | −0.141234 | − | 0.244625i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.79558 | −0.185959 | ||||||||
\(227\) | 8.72461 | − | 15.1115i | 0.579073 | − | 1.00298i | −0.416513 | − | 0.909130i | \(-0.636748\pi\) |
0.995586 | − | 0.0938540i | \(-0.0299187\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.19926 | − | 14.2015i | −0.541822 | − | 0.938463i | −0.998800 | − | 0.0489851i | \(-0.984401\pi\) |
0.456977 | − | 0.889478i | \(-0.348932\pi\) | |||||||
\(230\) | 0.433927 | − | 0.751584i | 0.0286123 | − | 0.0495580i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.26783 | + | 2.19595i | −0.0832373 | + | 0.144171i | ||||
\(233\) | −3.91692 | + | 6.78430i | −0.256606 | + | 0.444454i | −0.965330 | − | 0.261031i | \(-0.915938\pi\) |
0.708725 | + | 0.705485i | \(0.249271\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.52862 | − | 7.84381i | 0.295415 | − | 0.511674i | ||||
\(236\) | 7.58283 | − | 13.1339i | 0.493600 | − | 0.854941i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.302882 | − | 0.524607i | −0.0196329 | − | 0.0340052i | ||||
\(239\) | −5.40997 | + | 9.37034i | −0.349942 | + | 0.606117i | −0.986239 | − | 0.165327i | \(-0.947132\pi\) |
0.636297 | + | 0.771444i | \(0.280465\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.3049 | 0.857043 | 0.428521 | − | 0.903532i | \(-0.359035\pi\) | ||||
0.428521 | + | 0.903532i | \(0.359035\pi\) | |||||||
\(242\) | −0.805331 | + | 1.39488i | −0.0517687 | + | 0.0896660i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.74220 | 0.303588 | ||||||||
\(245\) | 0.861595 | + | 1.49233i | 0.0550453 | + | 0.0953413i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.591369 | − | 1.02428i | 0.0376279 | − | 0.0651734i | ||||
\(248\) | −0.302397 | + | 0.523767i | −0.0192022 | + | 0.0332592i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.879405 | − | 1.52317i | −0.0556185 | − | 0.0963340i | ||||
\(251\) | 7.92646 | + | 13.7290i | 0.500313 | + | 0.866568i | 1.00000 | 0.000361976i | \(0.000115221\pi\) | |
−0.499686 | + | 0.866206i | \(0.666551\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.109166 | 0.00686322 | ||||||||
\(254\) | −1.72609 | −0.108305 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.15598 | + | 12.3945i | −0.447249 | + | 0.774658i | ||||
\(257\) | 9.54846 | − | 16.5384i | 0.595617 | − | 1.03164i | −0.397843 | − | 0.917454i | \(-0.630241\pi\) |
0.993460 | − | 0.114185i | \(-0.0364256\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.39841 | 0.521852 | ||||||||
\(260\) | −0.649537 | −0.0402826 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.107146 | − | 0.185582i | −0.00661951 | − | 0.0114653i | ||||
\(263\) | 20.2644 | 1.24955 | 0.624777 | − | 0.780803i | \(-0.285190\pi\) | ||||
0.624777 | + | 0.780803i | \(0.285190\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.0240 | 0.677199 | ||||||||
\(266\) | 1.06329 | + | 1.84168i | 0.0651946 | + | 0.112920i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.2209 | + | 7.74928i | 0.868677 | + | 0.473362i | ||||
\(269\) | −16.4143 | −1.00080 | −0.500398 | − | 0.865796i | \(-0.666813\pi\) | ||||
−0.500398 | + | 0.865796i | \(0.666813\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.5202 | −1.42875 | −0.714375 | − | 0.699763i | \(-0.753289\pi\) | ||||
−0.714375 | + | 0.699763i | \(0.753289\pi\) | |||||||
\(272\) | −3.28123 | + | 5.68326i | −0.198954 | + | 0.344598i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.491976 | + | 0.852127i | 0.0297213 | + | 0.0514789i | ||||
\(275\) | 0.0345638 | − | 0.0598662i | 0.00208427 | − | 0.00361007i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.561769 | 0.0337534 | 0.0168767 | − | 0.999858i | \(-0.494628\pi\) | ||||
0.0168767 | + | 0.999858i | \(0.494628\pi\) | |||||||
\(278\) | −0.427578 | − | 0.740587i | −0.0256444 | − | 0.0444174i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.17421 | − | 2.03379i | 0.0701724 | − | 0.121542i | ||||
\(281\) | −0.489429 | − | 0.847716i | −0.0291969 | − | 0.0505705i | 0.851058 | − | 0.525072i | \(-0.175962\pi\) |
−0.880255 | + | 0.474502i | \(0.842628\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.5348 | −0.804561 | −0.402281 | − | 0.915516i | \(-0.631782\pi\) | ||||
−0.402281 | + | 0.915516i | \(0.631782\pi\) | |||||||
\(284\) | 10.4824 | + | 18.1561i | 0.622018 | + | 1.07737i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.000442756 | 0 | 0.000766875i | 2.61807e−5 | 0 | 4.53463e-5i | ||||
\(287\) | −8.53401 | − | 14.7813i | −0.503747 | − | 0.872515i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.06359 | − | 12.2345i | 0.415505 | − | 0.719676i | ||||
\(290\) | −1.05261 | −0.0618113 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.96853 | −0.232241 | ||||||||
\(293\) | 4.41891 | 0.258155 | 0.129078 | − | 0.991634i | \(-0.458798\pi\) | ||||
0.129078 | + | 0.991634i | \(0.458798\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.6594 | 0.737059 | ||||||||
\(296\) | 1.00240 | + | 1.73621i | 0.0582632 | + | 0.100915i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.31192 | − | 2.27230i | −0.0759972 | − | 0.131631i | ||||
\(299\) | −0.356634 | + | 0.617708i | −0.0206247 | + | 0.0357230i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.67383 | + | 2.89917i | −0.0964782 | + | 0.167105i | ||||
\(302\) | 1.35380 | − | 2.34485i | 0.0779025 | − | 0.134931i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.5190 | − | 19.9516i | 0.660662 | − | 1.14430i | ||||
\(305\) | 1.97925 | + | 3.42817i | 0.113332 | + | 0.196296i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.40997 | + | 9.37034i | 0.308763 | + | 0.534793i | 0.978092 | − | 0.208173i | \(-0.0667516\pi\) |
−0.669329 | + | 0.742966i | \(0.733418\pi\) | |||||||
\(308\) | 0.146906 | 0.00837075 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.251063 | −0.0142594 | ||||||||
\(311\) | −17.9596 | −1.01839 | −0.509197 | − | 0.860650i | \(-0.670057\pi\) | ||||
−0.509197 | + | 0.860650i | \(0.670057\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.25678 | 0.0710375 | 0.0355188 | − | 0.999369i | \(-0.488692\pi\) | ||||
0.0355188 | + | 0.999369i | \(0.488692\pi\) | |||||||
\(314\) | −0.139878 | + | 0.242275i | −0.00789375 | + | 0.0136724i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.5072 | − | 19.9311i | −0.647331 | − | 1.12121i | ||||
\(317\) | −10.2605 | − | 17.7717i | −0.576286 | − | 0.998157i | −0.995901 | − | 0.0904543i | \(-0.971168\pi\) |
0.419615 | − | 0.907702i | \(-0.362165\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0662032 | − | 0.114667i | −0.00370667 | − | 0.00642013i | ||||
\(320\) | −12.3703 | −0.691519 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.641235 | − | 1.11065i | −0.0357346 | − | 0.0618942i | ||||
\(323\) | 5.04264 | − | 8.73410i | 0.280580 | − | 0.485979i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.225832 | + | 0.391153i | 0.0125269 | + | 0.0216972i | ||||
\(326\) | −2.53360 | −0.140323 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.03717 | − | 3.52848i | 0.112484 | − | 0.194827i | ||||
\(329\) | −6.69217 | − | 11.5912i | −0.368951 | − | 0.639042i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.2864 | − | 17.8167i | 0.565394 | − | 0.979292i | −0.431619 | − | 0.902056i | \(-0.642057\pi\) |
0.997013 | − | 0.0772355i | \(-0.0246093\pi\) | |||||||
\(332\) | 15.1400 | 0.830916 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.374617 | 0.0204982 | ||||||||
\(335\) | 0.333359 | + | 13.5147i | 0.0182134 | + | 0.738386i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.6237 | − | 30.5252i | −0.960025 | − | 1.66281i | −0.722425 | − | 0.691449i | \(-0.756973\pi\) |
−0.237600 | − | 0.971363i | \(-0.576361\pi\) | |||||||
\(338\) | 1.89789 | 0.103231 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.53864 | −0.300375 | ||||||||
\(341\) | −0.0157904 | − | 0.0273498i | −0.000855100 | − | 0.00148108i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.6308 | 1.05996 | ||||||||
\(344\) | −0.799127 | −0.0430860 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.169249 | + | 0.293148i | −0.00909890 | + | 0.0157598i | ||||
\(347\) | 9.85067 | − | 17.0619i | 0.528812 | − | 0.915929i | −0.470624 | − | 0.882334i | \(-0.655971\pi\) |
0.999436 | − | 0.0335949i | \(-0.0106956\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.80443 | 0.203647 | 0.101823 | − | 0.994802i | \(-0.467532\pi\) | ||||
0.101823 | + | 0.994802i | \(0.467532\pi\) | |||||||
\(350\) | −0.812101 | −0.0434086 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.0263484 | + | 0.0456367i | 0.00140437 | + | 0.00243245i | ||||
\(353\) | −17.8119 | − | 30.8511i | −0.948033 | − | 1.64204i | −0.749562 | − | 0.661934i | \(-0.769736\pi\) |
−0.198470 | − | 0.980107i | \(-0.563597\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.75012 | + | 15.1556i | −0.464408 | + | 0.804378i | ||||
\(356\) | −17.9972 | + | 31.1721i | −0.953851 | + | 1.65212i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.46315 | + | 2.53425i | 0.0773300 | + | 0.133940i | ||||
\(359\) | 1.78421 | 0.0941672 | 0.0470836 | − | 0.998891i | \(-0.485007\pi\) | ||||
0.0470836 | + | 0.998891i | \(0.485007\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.20259 | + | 14.2073i | −0.431715 | + | 0.747753i | ||||
\(362\) | −2.80494 | −0.147424 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.479926 | + | 0.831256i | −0.0251550 | + | 0.0435697i | ||||
\(365\) | −1.65635 | − | 2.86888i | −0.0866972 | − | 0.150164i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.09088 | − | 7.08561i | 0.213542 | − | 0.369866i | −0.739279 | − | 0.673400i | \(-0.764833\pi\) |
0.952821 | + | 0.303534i | \(0.0981666\pi\) | |||||||
\(368\) | −6.94673 | + | 12.0321i | −0.362123 | + | 0.627216i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.416117 | + | 0.720736i | −0.0216329 | + | 0.0374693i | ||||
\(371\) | 8.14535 | − | 14.1082i | 0.422886 | − | 0.732459i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.5388 | − | 23.4499i | 0.701012 | − | 1.21419i | −0.267100 | − | 0.963669i | \(-0.586065\pi\) |
0.968112 | − | 0.250519i | \(-0.0806013\pi\) | |||||||
\(374\) | 0.00377541 | + | 0.00653919i | 0.000195222 | + | 0.000338134i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.59750 | − | 2.76695i | 0.0823846 | − | 0.142694i | ||||
\(377\) | 0.865113 | 0.0445556 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.1410 | + | 21.0288i | 0.623640 | + | 1.08018i | 0.988802 | + | 0.149232i | \(0.0476802\pi\) |
−0.365162 | + | 0.930944i | \(0.618987\pi\) | |||||||
\(380\) | 19.4438 | 0.997448 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.37435 | + | 2.38044i | −0.0703179 | + | 0.121794i | ||||
\(383\) | 5.58177 | + | 9.66792i | 0.285215 | + | 0.494007i | 0.972661 | − | 0.232228i | \(-0.0746015\pi\) |
−0.687446 | + | 0.726235i | \(0.741268\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0613143 | + | 0.106200i | 0.00312487 | + | 0.00541243i | ||||
\(386\) | −0.763758 | − | 1.32287i | −0.0388743 | − | 0.0673322i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.292334 | −0.0148410 | ||||||||
\(389\) | 1.29069 | + | 2.23555i | 0.0654408 | + | 0.113347i | 0.896889 | − | 0.442255i | \(-0.145821\pi\) |
−0.831449 | + | 0.555602i | \(0.812488\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.04104 | + | 5.26724i | −0.153792 | + | 0.266376i | ||||
\(392\) | 0.303932 | + | 0.526426i | 0.0153509 | + | 0.0265885i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.56182 | 0.129063 | ||||||||
\(395\) | 9.60554 | − | 16.6373i | 0.483307 | − | 0.837113i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.96514 | 0.299382 | 0.149691 | − | 0.988733i | \(-0.452172\pi\) | ||||
0.149691 | + | 0.988733i | \(0.452172\pi\) | |||||||
\(398\) | −0.142862 | + | 0.247444i | −0.00716101 | + | 0.0124032i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.39889 | + | 7.61911i | 0.219945 | + | 0.380955i | ||||
\(401\) | 18.7249 | 0.935078 | 0.467539 | − | 0.883972i | \(-0.345141\pi\) | ||||
0.467539 | + | 0.883972i | \(0.345141\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.206342 | 0.0102786 | ||||||||
\(404\) | 14.0427 | + | 24.3227i | 0.698651 | + | 1.21010i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.777745 | + | 1.34709i | −0.0385989 | + | 0.0668552i | ||||
\(407\) | −0.104686 | −0.00518907 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.0164 | + | 22.5451i | −0.643620 | + | 1.11478i | 0.340999 | + | 0.940064i | \(0.389235\pi\) |
−0.984618 | + | 0.174718i | \(0.944099\pi\) | |||||||
\(410\) | 1.69134 | 0.0835294 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.41151 | − | 12.8371i | −0.365139 | − | 0.632439i | ||||
\(413\) | 9.35371 | − | 16.2011i | 0.460266 | − | 0.797204i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.31900 | + | 10.9448i | 0.310188 | + | 0.537261i | ||||
\(416\) | −0.344309 | −0.0168811 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0132539 | − | 0.0229564i | −0.000648268 | − | 0.00112283i | ||||
\(419\) | −6.45477 | − | 11.1800i | −0.315336 | − | 0.546178i | 0.664173 | − | 0.747579i | \(-0.268784\pi\) |
−0.979509 | + | 0.201401i | \(0.935451\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.763046 | + | 1.32163i | 0.0371886 | + | 0.0644125i | 0.884021 | − | 0.467448i | \(-0.154826\pi\) |
−0.846832 | + | 0.531860i | \(0.821493\pi\) | |||||||
\(422\) | −0.350367 | + | 0.606854i | −0.0170556 | + | 0.0295412i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.88878 | 0.188856 | ||||||||
\(425\) | 1.92568 | + | 3.33538i | 0.0934094 | + | 0.161790i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.84968 | 0.283086 | ||||||||
\(428\) | 18.5928 | − | 32.2038i | 0.898719 | − | 1.55663i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.165867 | − | 0.287291i | −0.00799883 | − | 0.0138544i | ||||
\(431\) | 9.84170 | − | 17.0463i | 0.474058 | − | 0.821093i | −0.525501 | − | 0.850793i | \(-0.676122\pi\) |
0.999559 | + | 0.0297004i | \(0.00945534\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.00241 | + | 15.5926i | −0.432628 | + | 0.749334i | −0.997099 | − | 0.0761193i | \(-0.975747\pi\) |
0.564471 | + | 0.825453i | \(0.309080\pi\) | |||||||
\(434\) | −0.185504 | + | 0.321302i | −0.00890446 | + | 0.0154230i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.46519 | + | 16.3942i | −0.453300 | + | 0.785139i | ||||
\(437\) | 10.6758 | − | 18.4911i | 0.510694 | − | 0.884547i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.5838 | − | 32.1882i | −0.886959 | − | 1.53626i | −0.843452 | − | 0.537204i | \(-0.819481\pi\) |
−0.0435062 | − | 0.999053i | \(-0.513853\pi\) | |||||||
\(440\) | −0.0146364 | + | 0.0253510i | −0.000697764 | + | 0.00120856i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.0493353 | −0.00234664 | ||||||||
\(443\) | −3.57980 | + | 6.20039i | −0.170081 | + | 0.294590i | −0.938448 | − | 0.345420i | \(-0.887736\pi\) |
0.768367 | + | 0.640010i | \(0.221070\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −30.0460 | −1.42432 | ||||||||
\(446\) | 1.23462 | + | 2.13843i | 0.0584610 | + | 0.101257i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.14007 | + | 15.8311i | −0.431827 | + | 0.747947i | ||||
\(449\) | −2.73256 | + | 4.73294i | −0.128958 | + | 0.223361i | −0.923273 | − | 0.384144i | \(-0.874496\pi\) |
0.794315 | + | 0.607506i | \(0.207830\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.106376 | + | 0.184248i | 0.00500904 | + | 0.00867592i | ||||
\(452\) | 18.8861 | + | 32.7117i | 0.888327 | + | 1.53863i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.55520 | 0.119921 | ||||||||
\(455\) | −0.801228 | −0.0375622 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.92557 | + | 15.4595i | −0.417520 | + | 0.723166i | −0.995689 | − | 0.0927506i | \(-0.970434\pi\) |
0.578169 | + | 0.815917i | \(0.303767\pi\) | |||||||
\(458\) | 1.20067 | − | 2.07962i | 0.0561035 | − | 0.0971742i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −11.7259 | −0.546723 | ||||||||
\(461\) | −26.1831 | −1.21947 | −0.609735 | − | 0.792606i | \(-0.708724\pi\) | ||||
−0.609735 | + | 0.792606i | \(0.708724\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.14876 | − | 7.18587i | −0.192809 | − | 0.333956i | 0.753371 | − | 0.657596i | \(-0.228427\pi\) |
−0.946180 | + | 0.323640i | \(0.895093\pi\) | |||||||
\(464\) | 16.8512 | 0.782297 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.14716 | −0.0531410 | ||||||||
\(467\) | −0.0463441 | − | 0.0802703i | −0.00214455 | − | 0.00371447i | 0.864951 | − | 0.501856i | \(-0.167349\pi\) |
−0.867096 | + | 0.498142i | \(0.834016\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17.5420 | + | 9.55902i | 0.810012 | + | 0.441395i | ||||
\(470\) | 1.32631 | 0.0611781 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.46568 | 0.205549 | ||||||||
\(473\) | 0.0208642 | − | 0.0361379i | 0.000959339 | − | 0.00166162i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.76027 | − | 11.7091i | −0.310182 | − | 0.537252i | ||||
\(476\) | −4.09236 | + | 7.08817i | −0.187573 | + | 0.324886i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.58443 | −0.0724701 | ||||||||
\(479\) | 3.93176 | + | 6.81000i | 0.179646 | + | 0.311157i | 0.941759 | − | 0.336287i | \(-0.109171\pi\) |
−0.762113 | + | 0.647444i | \(0.775838\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.341996 | − | 0.592355i | 0.0155937 | − | 0.0270091i | ||||
\(482\) | 0.974158 | + | 1.68729i | 0.0443717 | + | 0.0768540i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.7623 | 0.989195 | ||||||||
\(485\) | −0.122012 | − | 0.211330i | −0.00554026 | − | 0.00959601i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.1895 | + | 31.5052i | 0.824246 | + | 1.42764i | 0.902494 | + | 0.430702i | \(0.141734\pi\) |
−0.0782482 | + | 0.996934i | \(0.524933\pi\) | |||||||
\(488\) | 0.698193 | + | 1.20931i | 0.0316057 | + | 0.0547427i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.126169 | + | 0.218531i | −0.00569972 | + | 0.00987221i | ||||
\(491\) | −36.6931 | −1.65594 | −0.827968 | − | 0.560775i | \(-0.810503\pi\) | ||||
−0.827968 | + | 0.560775i | \(0.810503\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.37687 | 0.332238 | ||||||||
\(494\) | 0.173196 | 0.00779244 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.01926 | 0.180470 | ||||||||
\(497\) | 12.9305 | + | 22.3962i | 0.580011 | + | 1.00461i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.5028 | − | 18.1914i | −0.470169 | − | 0.814357i | 0.529249 | − | 0.848467i | \(-0.322474\pi\) |
−0.999418 | + | 0.0341094i | \(0.989141\pi\) | |||||||
\(500\) | −11.8820 | + | 20.5802i | −0.531379 | + | 0.920375i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.16072 | + | 2.01043i | −0.0518055 | + | 0.0897297i | ||||
\(503\) | −17.8269 | + | 30.8771i | −0.794861 | + | 1.37674i | 0.128066 | + | 0.991766i | \(0.459123\pi\) |
−0.922927 | + | 0.384975i | \(0.874210\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.7220 | + | 20.3032i | −0.521624 | + | 0.903479i | ||||
\(506\) | 0.00799295 | + | 0.0138442i | 0.000355330 | + | 0.000615449i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 11.6610 | + | 20.1974i | 0.517371 | + | 0.896113i | ||||
\(509\) | −8.71489 | −0.386281 | −0.193140 | − | 0.981171i | \(-0.561867\pi\) | ||||
−0.193140 | + | 0.981171i | \(0.561867\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.89533 | −0.216557 | ||||||||
\(512\) | −11.2181 | −0.495775 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.79648 | 0.123348 | ||||||||
\(515\) | 6.18670 | − | 10.7157i | 0.272618 | − | 0.472189i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.0834174 | + | 0.144483i | 0.00366869 | + | 0.00635436i | ||||
\(518\) | 0.614916 | + | 1.06507i | 0.0270179 | + | 0.0467963i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0956312 | − | 0.165638i | −0.00419370 | − | 0.00726371i | ||||
\(521\) | −41.7619 | −1.82962 | −0.914812 | − | 0.403881i | \(-0.867661\pi\) | ||||
−0.914812 | + | 0.403881i | \(0.867661\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.7669 | − | 25.5770i | −0.645711 | − | 1.11840i | −0.984137 | − | 0.177411i | \(-0.943228\pi\) |
0.338426 | − | 0.940993i | \(-0.390106\pi\) | |||||||
\(524\) | −1.44769 | + | 2.50748i | −0.0632427 | + | 0.109540i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.48372 | + | 2.56988i | 0.0646932 | + | 0.112052i | ||||
\(527\) | 1.75949 | 0.0766447 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.06178 | − | 8.76727i | 0.220078 | − | 0.381186i | ||||
\(530\) | 0.807157 | + | 1.39804i | 0.0350607 | + | 0.0607268i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 14.3666 | − | 24.8836i | 0.622869 | − | 1.07884i | ||||
\(533\) | −1.39007 | −0.0602107 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 31.0404 | 1.34200 | ||||||||
\(536\) | 0.117594 | + | 4.76738i | 0.00507930 | + | 0.205919i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.20182 | − | 2.08162i | −0.0518142 | − | 0.0897449i | ||||
\(539\) | −0.0317412 | −0.00136719 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.5090 | −0.924744 | −0.462372 | − | 0.886686i | \(-0.653001\pi\) | ||||
−0.462372 | + | 0.886686i | \(0.653001\pi\) | |||||||
\(542\) | −1.72210 | − | 2.98277i | −0.0739707 | − | 0.128121i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.93594 | −0.125878 | ||||||||
\(545\) | −15.8020 | −0.676882 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.8310 | + | 22.2239i | −0.548612 | + | 0.950224i | 0.449758 | + | 0.893151i | \(0.351510\pi\) |
−0.998370 | + | 0.0570737i | \(0.981823\pi\) | |||||||
\(548\) | 6.64727 | − | 11.5134i | 0.283957 | − | 0.491829i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0101228 | 0.000431637 | ||||||||
\(551\) | −25.8971 | −1.10325 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.1946 | − | 24.5857i | −0.603615 | − | 1.04549i | ||||
\(554\) | 0.0411317 | + | 0.0712422i | 0.00174752 | + | 0.00302679i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.77717 | + | 10.0064i | −0.245007 | + | 0.424364i | ||||
\(557\) | −9.13519 | + | 15.8226i | −0.387070 | + | 0.670426i | −0.992054 | − | 0.125812i | \(-0.959846\pi\) |
0.604984 | + | 0.796238i | \(0.293180\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.136322 | + | 0.236117i | 0.00576582 | + | 0.00998669i | ||||
\(560\) | −15.6068 | −0.659508 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.0716702 | − | 0.124136i | 0.00302322 | − | 0.00523638i | ||||
\(563\) | 5.25520 | 0.221480 | 0.110740 | − | 0.993849i | \(-0.464678\pi\) | ||||
0.110740 | + | 0.993849i | \(0.464678\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.7650 | + | 27.3058i | −0.663239 | + | 1.14876i | ||||
\(566\) | −0.990993 | − | 1.71645i | −0.0416546 | − | 0.0721478i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.08665 | + | 5.34624i | −0.129513 | + | 0.224323i | ||||
\(569\) | −7.88277 | + | 13.6534i | −0.330463 | + | 0.572378i | −0.982603 | − | 0.185720i | \(-0.940538\pi\) |
0.652140 | + | 0.758099i | \(0.273871\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.99307 | − | 6.91620i | 0.167105 | − | 0.289434i | −0.770296 | − | 0.637687i | \(-0.779892\pi\) |
0.937401 | + | 0.348253i | \(0.113225\pi\) | |||||||
\(572\) | 0.00598224 | − | 0.0103616i | 0.000250130 | − | 0.000433238i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.24969 | − | 2.16452i | 0.0521610 | − | 0.0903455i | ||||
\(575\) | 4.07688 | + | 7.06137i | 0.170018 | + | 0.294480i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.3163 | − | 29.9926i | 0.720885 | − | 1.24861i | −0.239760 | − | 0.970832i | \(-0.577069\pi\) |
0.960645 | − | 0.277778i | \(-0.0895978\pi\) | |||||||
\(578\) | 2.06873 | 0.0860479 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.11110 | + | 12.3168i | 0.295272 | + | 0.511427i | ||||
\(581\) | 18.6758 | 0.774802 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.101531 | + | 0.175857i | −0.00420499 | + | 0.00728326i | ||||
\(584\) | −0.584286 | − | 1.01201i | −0.0241779 | − | 0.0418774i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.323544 | + | 0.560395i | 0.0133655 | + | 0.0231497i | ||||
\(587\) | −15.7784 | − | 27.3289i | −0.651243 | − | 1.12799i | −0.982822 | − | 0.184559i | \(-0.940914\pi\) |
0.331578 | − | 0.943428i | \(-0.392419\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.17685 | −0.254512 | ||||||||
\(590\) | 0.926898 | + | 1.60543i | 0.0381598 | + | 0.0660947i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.66161 | − | 11.5382i | 0.273790 | − | 0.474219i | ||||
\(593\) | 10.4375 | + | 18.0783i | 0.428618 | + | 0.742388i | 0.996751 | − | 0.0805488i | \(-0.0256673\pi\) |
−0.568133 | + | 0.822937i | \(0.692334\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.83212 | −0.280090 | ||||||||
\(596\) | −17.7258 | + | 30.7020i | −0.726077 | + | 1.25760i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.104448 | −0.00427121 | ||||||||
\(599\) | 20.2989 | − | 35.1587i | 0.829391 | − | 1.43655i | −0.0691265 | − | 0.997608i | \(-0.522021\pi\) |
0.898517 | − | 0.438939i | \(-0.144645\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.22736 | + | 7.32200i | 0.172438 | + | 0.298671i | 0.939272 | − | 0.343175i | \(-0.111502\pi\) |
−0.766834 | + | 0.641846i | \(0.778169\pi\) | |||||||
\(602\) | −0.490220 | −0.0199799 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −36.5835 | −1.48856 | ||||||||
\(605\) | 9.08294 | + | 15.7321i | 0.369274 | + | 0.639602i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.3489 | − | 28.3172i | 0.663582 | − | 1.14936i | −0.316086 | − | 0.948731i | \(-0.602369\pi\) |
0.979668 | − | 0.200627i | \(-0.0642979\pi\) | |||||||
\(608\) | 10.3069 | 0.417999 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.289835 | + | 0.502008i | −0.0117351 | + | 0.0203257i | ||||
\(611\) | −1.09006 | −0.0440992 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.5715 | − | 26.9706i | −0.628926 | − | 1.08933i | −0.987768 | − | 0.155934i | \(-0.950161\pi\) |
0.358841 | − | 0.933399i | \(-0.383172\pi\) | |||||||
\(614\) | −0.792215 | + | 1.37216i | −0.0319712 | + | 0.0553757i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0216290 | + | 0.0374624i | 0.000871455 | + | 0.00150941i | ||||
\(617\) | −22.8060 | −0.918136 | −0.459068 | − | 0.888401i | \(-0.651817\pi\) | ||||
−0.459068 | + | 0.888401i | \(0.651817\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.18993 | + | 10.7213i | 0.248794 | + | 0.430924i | 0.963192 | − | 0.268816i | \(-0.0866324\pi\) |
−0.714397 | + | 0.699740i | \(0.753299\pi\) | |||||||
\(620\) | 1.69610 | + | 2.93774i | 0.0681171 | + | 0.117982i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.31497 | − | 2.27759i | −0.0527253 | − | 0.0913229i | ||||
\(623\) | −22.2002 | + | 38.4519i | −0.889434 | + | 1.54054i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.47540 | −0.339016 | ||||||||
\(626\) | 0.0920192 | + | 0.159382i | 0.00367783 | + | 0.00637019i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.77988 | 0.150834 | ||||||||
\(629\) | 2.91622 | − | 5.05105i | 0.116277 | − | 0.201398i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.67063 | + | 13.2859i | 0.305363 | + | 0.528904i | 0.977342 | − | 0.211666i | \(-0.0678888\pi\) |
−0.671979 | + | 0.740570i | \(0.734556\pi\) | |||||||
\(632\) | 3.38841 | − | 5.86889i | 0.134784 | − | 0.233452i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.50251 | − | 2.60242i | 0.0596721 | − | 0.103355i | ||||
\(635\) | −9.73388 | + | 16.8596i | −0.386277 | + | 0.669052i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.103695 | − | 0.179605i | 0.00410855 | − | 0.00711621i | ||||
\(638\) | 0.00969454 | − | 0.0167914i | 0.000383811 | − | 0.000664779i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.76657 | − | 6.52389i | −0.148887 | − | 0.257879i | ||||
\(641\) | −15.1017 | + | 26.1569i | −0.596481 | + | 1.03314i | 0.396855 | + | 0.917881i | \(0.370102\pi\) |
−0.993336 | + | 0.115255i | \(0.963232\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.4337 | 1.51568 | 0.757838 | − | 0.652443i | \(-0.226256\pi\) | ||||
0.757838 | + | 0.652443i | \(0.226256\pi\) | |||||||
\(644\) | −8.66397 | + | 15.0064i | −0.341408 | + | 0.591336i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.47685 | 0.0581059 | ||||||||
\(647\) | −1.38108 | − | 2.39210i | −0.0542958 | − | 0.0940431i | 0.837600 | − | 0.546284i | \(-0.183958\pi\) |
−0.891896 | + | 0.452241i | \(0.850625\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.116593 | + | 0.201946i | −0.00457669 | + | 0.00792706i | ||||
\(650\) | −0.0330700 | + | 0.0572789i | −0.00129711 | + | 0.00224666i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.1162 | + | 29.6462i | 0.670324 | + | 1.16103i | ||||
\(653\) | 11.6981 | + | 20.2617i | 0.457781 | + | 0.792900i | 0.998843 | − | 0.0480827i | \(-0.0153111\pi\) |
−0.541063 | + | 0.840982i | \(0.681978\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.41690 | −0.0944360 | ||||||||
\(656\) | −27.0767 | −1.05717 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.979976 | − | 1.69737i | 0.0382034 | − | 0.0661703i | ||||
\(659\) | 8.97174 | − | 15.5395i | 0.349490 | − | 0.605334i | −0.636669 | − | 0.771137i | \(-0.719688\pi\) |
0.986159 | + | 0.165803i | \(0.0530217\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.4980 | 1.26402 | 0.632012 | − | 0.774958i | \(-0.282229\pi\) | ||||
0.632012 | + | 0.774958i | \(0.282229\pi\) | |||||||
\(662\) | 3.01262 | 0.117089 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.22906 | + | 3.86085i | 0.0865044 | + | 0.149830i | ||||
\(665\) | 23.9847 | 0.930087 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.6177 | 0.604718 | ||||||||
\(668\) | −2.53080 | − | 4.38348i | −0.0979196 | − | 0.169602i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.68949 | + | 1.03180i | −0.0652707 | + | 0.0398617i | ||||
\(671\) | −0.0729158 | −0.00281488 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.3935 | −0.978847 | −0.489424 | − | 0.872046i | \(-0.662793\pi\) | ||||
−0.489424 | + | 0.872046i | \(0.662793\pi\) | |||||||
\(674\) | 2.58075 | − | 4.46999i | 0.0994068 | − | 0.172178i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.8215 | − | 22.2075i | −0.493136 | − | 0.854136i | ||||
\(677\) | 21.5141 | − | 37.2634i | 0.826852 | − | 1.43215i | −0.0736434 | − | 0.997285i | \(-0.523463\pi\) |
0.900496 | − | 0.434865i | \(-0.143204\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.360605 | −0.0138387 | ||||||||
\(680\) | −0.815453 | − | 1.41241i | −0.0312712 | − | 0.0541633i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.00231229 | − | 0.00400501i | 8.85422e−5 | − | 0.000153360i | ||||
\(683\) | 4.84470 | + | 8.39127i | 0.185377 | + | 0.321083i | 0.943704 | − | 0.330792i | \(-0.107316\pi\) |
−0.758326 | + | 0.651875i | \(0.773983\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.0975 | 0.424014 | ||||||||
\(686\) | 1.43733 | + | 2.48953i | 0.0548775 | + | 0.0950507i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.65537 | + | 4.59923i | 0.101235 | + | 0.175344i | ||||
\(689\) | −0.663382 | − | 1.14901i | −0.0252729 | − | 0.0437739i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.1298 | + | 22.7415i | −0.499482 | + | 0.865128i | −1.00000 | 0.000598103i | \(-0.999810\pi\) | |
0.500518 | + | 0.865726i | \(0.333143\pi\) | |||||||
\(692\) | 4.57359 | 0.173862 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.88499 | 0.109513 | ||||||||
\(695\) | −9.64489 | −0.365851 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.8532 | −0.448973 | ||||||||
\(698\) | 0.278553 | + | 0.482469i | 0.0105434 | + | 0.0182617i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.48630 | + | 9.50256i | 0.207363 | + | 0.359163i | ||||
\(701\) | −16.7467 | + | 29.0061i | −0.632513 | + | 1.09554i | 0.354523 | + | 0.935047i | \(0.384643\pi\) |
−0.987036 | + | 0.160497i | \(0.948690\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.2376 | + | 17.7321i | −0.386120 | + | 0.668779i | ||||
\(704\) | 0.113930 | − | 0.197333i | 0.00429391 | − | 0.00743727i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.60831 | − | 4.51773i | 0.0981650 | − | 0.170027i | ||||
\(707\) | 17.3222 | + | 30.0030i | 0.651469 | + | 1.12838i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.95521 | − | 6.85063i | −0.148541 | − | 0.257281i | 0.782147 | − | 0.623093i | \(-0.214124\pi\) |
−0.930688 | + | 0.365813i | \(0.880791\pi\) | |||||||
\(710\) | −2.56267 | −0.0961752 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.5989 | −0.397211 | ||||||||
\(713\) | 3.72504 | 0.139504 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.00998725 | 0.000373502 | ||||||||
\(716\) | 19.7692 | − | 34.2413i | 0.738811 | − | 1.27966i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.130637 | + | 0.226269i | 0.00487532 | + | 0.00844430i | ||||
\(719\) | −11.6790 | − | 20.2286i | −0.435554 | − | 0.754401i | 0.561787 | − | 0.827282i | \(-0.310114\pi\) |
−0.997341 | + | 0.0728809i | \(0.976781\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.14238 | − | 15.8351i | −0.340480 | − | 0.589728i | ||||
\(722\) | −2.40231 | −0.0894048 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 18.9493 | + | 32.8212i | 0.704246 | + | 1.21979i | ||||
\(725\) | 4.94480 | − | 8.56465i | 0.183645 | − | 0.318083i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.2932 | − | 35.1488i | −0.752633 | − | 1.30360i | −0.946543 | − | 0.322579i | \(-0.895450\pi\) |
0.193910 | − | 0.981019i | \(-0.437883\pi\) | |||||||
\(728\) | −0.282638 | −0.0104752 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.242549 | − | 0.420108i | 0.00897715 | − | 0.0155489i | ||||
\(731\) | 1.16243 | + | 2.01338i | 0.0429940 | + | 0.0744677i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.5448 | + | 26.9243i | −0.574160 | + | 0.994473i | 0.421973 | + | 0.906608i | \(0.361338\pi\) |
−0.996132 | + | 0.0878650i | \(0.971996\pi\) | |||||||
\(734\) | 1.19811 | 0.0442229 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.21571 | −0.229114 | ||||||||
\(737\) | −0.218659 | − | 0.119153i | −0.00805442 | − | 0.00438904i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.33759 | + | 10.9770i | 0.233132 | + | 0.403796i | 0.958728 | − | 0.284324i | \(-0.0917693\pi\) |
−0.725596 | + | 0.688121i | \(0.758436\pi\) | |||||||
\(740\) | 11.2446 | 0.413361 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.38555 | 0.0875763 | ||||||||
\(743\) | −8.72760 | − | 15.1167i | −0.320185 | − | 0.554576i | 0.660341 | − | 0.750966i | \(-0.270412\pi\) |
−0.980526 | + | 0.196390i | \(0.937078\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.5929 | −1.08420 | ||||||||
\(746\) | 3.96514 | 0.145174 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0510110 | − | 0.0883536i | 0.00186515 | − | 0.00323053i | ||||
\(749\) | 22.9350 | − | 39.7245i | 0.838026 | − | 1.45150i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 49.9160 | 1.82146 | 0.910731 | − | 0.413001i | \(-0.135519\pi\) | ||||
0.910731 | + | 0.413001i | \(0.135519\pi\) | |||||||
\(752\) | −21.2329 | −0.774283 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.0633420 | + | 0.109712i | 0.00230678 | + | 0.00399546i | ||||
\(755\) | −15.2689 | − | 26.4464i | −0.555691 | − | 0.962485i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.900026 | − | 1.55889i | 0.0327120 | − | 0.0566589i | −0.849206 | − | 0.528062i | \(-0.822919\pi\) |
0.881918 | + | 0.471403i | \(0.156252\pi\) | |||||||
\(758\) | −1.77788 | + | 3.07938i | −0.0645754 | + | 0.111848i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.86271 | + | 4.95836i | 0.103842 | + | 0.179859i | ||||
\(761\) | −19.1844 | −0.695433 | −0.347717 | − | 0.937600i | \(-0.613043\pi\) | ||||
−0.347717 | + | 0.937600i | \(0.613043\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.6757 | + | 20.2229i | −0.422688 | + | 0.732116i | ||||
\(764\) | 37.1387 | 1.34363 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.817374 | + | 1.41573i | −0.0295329 | + | 0.0511525i | ||||
\(767\) | −0.761795 | − | 1.31947i | −0.0275068 | − | 0.0476432i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.05362 | − | 15.6813i | 0.326482 | − | 0.565483i | −0.655329 | − | 0.755343i | \(-0.727470\pi\) |
0.981811 | + | 0.189860i | \(0.0608034\pi\) | |||||||
\(770\) | −0.00897864 | + | 0.0155515i | −0.000323568 | + | 0.000560436i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.3194 | + | 17.8738i | −0.371404 | + | 0.643291i | ||||
\(773\) | 14.6609 | − | 25.3935i | 0.527318 | − | 0.913341i | −0.472175 | − | 0.881505i | \(-0.656531\pi\) |
0.999493 | − | 0.0318364i | \(-0.0101355\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.17941 | − | 2.04279i | 0.0423656 | − | 0.0733793i | ||||
\(776\) | −0.0430402 | − | 0.0745479i | −0.00154505 | − | 0.00267611i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.189004 | + | 0.327365i | −0.00677613 | + | 0.0117366i | ||||
\(779\) | 41.6117 | 1.49090 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.161177 | − | 0.279167i | −0.00576738 | − | 0.00998940i | ||||
\(782\) | −0.890637 | −0.0318491 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.01983 | − | 3.49846i | 0.0721369 | − | 0.124945i | ||||
\(785\) | 1.57761 | + | 2.73250i | 0.0563074 | + | 0.0975272i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.22809 | − | 15.9835i | −0.328946 | − | 0.569751i | 0.653357 | − | 0.757050i | \(-0.273360\pi\) |
−0.982303 | + | 0.187299i | \(0.940027\pi\) | |||||||
\(788\) | −17.3069 | − | 29.9764i | −0.616533 | − | 1.06787i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.81320 | 0.100089 | ||||||||
\(791\) | 23.2967 | + | 40.3511i | 0.828335 | + | 1.43472i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.238208 | − | 0.412588i | 0.00845901 | − | 0.0146514i | ||||
\(794\) | 0.436756 | + | 0.756484i | 0.0154999 | + | 0.0268466i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.86052 | 0.136832 | ||||||||
\(797\) | −1.52912 | + | 2.64851i | −0.0541641 | + | 0.0938149i | −0.891836 | − | 0.452359i | \(-0.850583\pi\) |
0.837672 | + | 0.546173i | \(0.183916\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.29502 | −0.328834 | ||||||||
\(800\) | −1.96799 | + | 3.40867i | −0.0695791 | + | 0.120515i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.37100 | + | 2.37465i | 0.0484118 | + | 0.0838517i | ||||
\(803\) | 0.0610199 | 0.00215335 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.4644 | −0.509801 | ||||||||
\(806\) | 0.0151080 | + | 0.0261678i | 0.000532156 | + | 0.000921722i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.13501 | + | 7.16205i | −0.145469 | + | 0.251960i | ||||
\(809\) | 46.0582 | 1.61932 | 0.809659 | − | 0.586900i | \(-0.199652\pi\) | ||||
0.809659 | + | 0.586900i | \(0.199652\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.7610 | + | 29.0309i | −0.588557 | + | 1.01941i | 0.405864 | + | 0.913933i | \(0.366971\pi\) |
−0.994422 | + | 0.105478i | \(0.966363\pi\) | |||||||
\(812\) | 21.0168 | 0.737546 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.00766489 | − | 0.0132760i | −0.000268654 | − | 0.000465323i | ||||
\(815\) | −14.2876 | + | 24.7469i | −0.500474 | + | 0.866846i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.08080 | − | 7.06815i | −0.142769 | − | 0.247283i | ||||
\(818\) | −3.81215 | −0.133289 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.4262 | − | 19.7907i | −0.399020 | − | 0.691122i | ||||
\(821\) | −3.46700 | − | 6.00501i | −0.120999 | − | 0.209576i | 0.799163 | − | 0.601115i | \(-0.205276\pi\) |
−0.920162 | + | 0.391538i | \(0.871943\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.321614 | − | 0.557052i | −0.0112108 | − | 0.0194176i | 0.860366 | − | 0.509677i | \(-0.170235\pi\) |
−0.871576 | + | 0.490260i | \(0.836902\pi\) | |||||||
\(824\) | 2.18239 | − | 3.78001i | 0.0760272 | − | 0.131683i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.73944 | 0.0953174 | ||||||||
\(827\) | −14.8918 | − | 25.7933i | −0.517838 | − | 0.896921i | −0.999785 | − | 0.0207212i | \(-0.993404\pi\) |
0.481948 | − | 0.876200i | \(-0.339930\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.85711 | −0.168694 | −0.0843472 | − | 0.996436i | \(-0.526880\pi\) | ||||
−0.0843472 | + | 0.996436i | \(0.526880\pi\) | |||||||
\(830\) | −0.925331 | + | 1.60272i | −0.0321187 | + | 0.0556312i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.744395 | + | 1.28933i | 0.0258073 | + | 0.0446995i | ||||
\(833\) | 0.884214 | − | 1.53150i | 0.0306362 | − | 0.0530634i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.11256 | − | 3.65907i | 0.0731083 | − | 0.126627i | ||||
\(836\) | −0.179078 | + | 0.310172i | −0.00619355 | + | 0.0107275i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.945212 | − | 1.63716i | 0.0326518 | − | 0.0565546i | ||||
\(839\) | 24.3037 | − | 42.0952i | 0.839055 | − | 1.45329i | −0.0516303 | − | 0.998666i | \(-0.516442\pi\) |
0.890685 | − | 0.454620i | \(-0.150225\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.02877 | + | 8.71009i | 0.173406 | + | 0.300348i | ||||
\(842\) | −0.111738 | + | 0.193535i | −0.00385073 | + | 0.00666966i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.46789 | 0.325898 | ||||||||
\(845\) | 10.7027 | − | 18.5376i | 0.368183 | − | 0.637711i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.8446 | 0.922391 | ||||||||
\(848\) | −12.9218 | − | 22.3811i | −0.443735 | − | 0.768572i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.281990 | + | 0.488421i | −0.00967217 | + | 0.0167527i | ||||
\(851\) | 6.17397 | − | 10.6936i | 0.211641 | − | 0.366573i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.50982 | − | 9.54329i | −0.188653 | − | 0.326756i | 0.756149 | − | 0.654400i | \(-0.227079\pi\) |
−0.944801 | + | 0.327644i | \(0.893745\pi\) | |||||||
\(854\) | 0.428302 | + | 0.741841i | 0.0146562 | + | 0.0253853i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.9497 | 0.374252 | ||||||||
\(857\) | 24.1343 | 0.824414 | 0.412207 | − | 0.911090i | \(-0.364758\pi\) | ||||
0.412207 | + | 0.911090i | \(0.364758\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.78735 | + | 3.09578i | −0.0609837 | + | 0.105627i | −0.894905 | − | 0.446256i | \(-0.852757\pi\) |
0.833922 | + | 0.551883i | \(0.186090\pi\) | |||||||
\(860\) | −2.24110 | + | 3.88169i | −0.0764208 | + | 0.132365i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.88236 | 0.0981737 | ||||||||
\(863\) | 25.0414 | 0.852418 | 0.426209 | − | 0.904625i | \(-0.359849\pi\) | ||||
0.426209 | + | 0.904625i | \(0.359849\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.90888 | + | 3.30628i | 0.0649039 | + | 0.112417i | ||||
\(866\) | −2.63656 | −0.0895939 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.01283 | 0.170146 | ||||||||
\(869\) | 0.176934 | + | 0.306459i | 0.00600209 | + | 0.0103959i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.38855 | − | 0.848007i | 0.0470492 | − | 0.0287336i | ||||
\(872\) | −5.57423 | −0.188767 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.12665 | 0.105761 | ||||||||
\(875\) | −14.6569 | + | 25.3865i | −0.495493 | + | 0.858219i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.6556 | − | 27.1162i | −0.528651 | − | 0.915650i | −0.999442 | − | 0.0334055i | \(-0.989365\pi\) |
0.470791 | − | 0.882245i | \(-0.343969\pi\) | |||||||
\(878\) | 2.72135 | − | 4.71351i | 0.0918411 | − | 0.159073i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.194538 | 0.00655787 | ||||||||
\(881\) | 1.57271 | + | 2.72401i | 0.0529858 | + | 0.0917741i | 0.891302 | − | 0.453411i | \(-0.149793\pi\) |
−0.838316 | + | 0.545185i | \(0.816460\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.9396 | − | 43.1966i | 0.839283 | − | 1.45368i | −0.0512116 | − | 0.998688i | \(-0.516308\pi\) |
0.890495 | − | 0.454993i | \(-0.150358\pi\) | |||||||
\(884\) | 0.333294 | + | 0.577283i | 0.0112099 | + | 0.0194161i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.04842 | −0.0352225 | ||||||||
\(887\) | −24.6434 | − | 42.6837i | −0.827445 | − | 1.43318i | −0.900036 | − | 0.435816i | \(-0.856460\pi\) |
0.0725907 | − | 0.997362i | \(-0.476873\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 14.3842 | + | 24.9142i | 0.482432 | + | 0.835596i | ||||
\(890\) | −2.19991 | − | 3.81036i | −0.0737413 | − | 0.127724i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 16.6814 | − | 28.8931i | 0.558536 | − | 0.967413i | ||||
\(893\) | 32.6309 | 1.09195 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 33.0044 | 1.10321 | ||||||||
\(896\) | −11.1321 | −0.371897 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.800293 | −0.0267061 | ||||||||
\(899\) | −2.25903 | − | 3.91275i | −0.0753428 | − | 0.130498i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.65670 | − | 9.79770i | −0.188452 | − | 0.326409i | ||||
\(902\) | −0.0155773 | + | 0.0269806i | −0.000518667 | + | 0.000898357i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.56119 | + | 9.63226i | −0.184962 | + | 0.320364i | ||||
\(905\) | −15.8178 | + | 27.3972i | −0.525801 | + | 0.910713i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.30811 | − | 9.19392i | 0.176253 | − | 0.305279i | −0.764341 | − | 0.644812i | \(-0.776936\pi\) |
0.940594 | + | 0.339533i | \(0.110269\pi\) | |||||||
\(908\) | −17.2621 | − | 29.8989i | −0.572864 | − | 0.992230i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0586644 | − | 0.101610i | −0.00194471 | − | 0.00336833i | ||||
\(911\) | −8.48031 | −0.280965 | −0.140483 | − | 0.990083i | \(-0.544865\pi\) | ||||
−0.140483 | + | 0.990083i | \(0.544865\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.232792 | −0.00770430 | ||||||||
\(914\) | −2.61405 | −0.0864652 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −32.4454 | −1.07203 | ||||||||
\(917\) | −1.78578 | + | 3.09307i | −0.0589717 | + | 0.102142i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.0806 | − | 43.4408i | −0.827332 | − | 1.43298i | −0.900124 | − | 0.435634i | \(-0.856524\pi\) |
0.0727916 | − | 0.997347i | \(-0.476809\pi\) | |||||||
\(920\) | −1.72640 | − | 2.99022i | −0.0569178 | − | 0.0985846i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.91708 | − | 3.32048i | −0.0631356 | − | 0.109354i | ||||
\(923\) | 2.10619 | 0.0693262 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.90955 | − | 6.77154i | −0.128545 | − | 0.222647i | ||||
\(926\) | 0.607529 | − | 1.05227i | 0.0199646 | − | 0.0345798i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.76948 | + | 6.52893i | 0.123739 | + | 0.214323i | ||||
\(929\) | −20.6713 | −0.678205 | −0.339102 | − | 0.940749i | \(-0.610123\pi\) | ||||
−0.339102 | + | 0.940749i | \(0.610123\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.10410 | + | 5.37647i | −0.101733 | + | 0.176207i | ||||
\(932\) | 7.74984 | + | 13.4231i | 0.253855 | + | 0.439689i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.00678645 | − | 0.0117545i | 0.000222059 | − | 0.000384618i | ||||
\(935\) | 0.0851619 | 0.00278509 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 55.5881 | 1.81598 | 0.907992 | − | 0.418987i | \(-0.137615\pi\) | ||||
0.907992 | + | 0.418987i | \(0.137615\pi\) | |||||||
\(938\) | 0.0721375 | + | 2.92452i | 0.00235537 | + | 0.0954890i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8.96014 | − | 15.5194i | −0.292248 | − | 0.506188i | ||||
\(941\) | 39.8861 | 1.30025 | 0.650124 | − | 0.759828i | \(-0.274717\pi\) | ||||
0.650124 | + | 0.759828i | \(0.274717\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.0946 | −0.817192 | ||||||||
\(944\) | −14.8387 | − | 25.7014i | −0.482959 | − | 0.836509i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.00611056 | 0.000198671 | ||||||||
\(947\) | −14.9293 | −0.485139 | −0.242569 | − | 0.970134i | \(-0.577990\pi\) | ||||
−0.242569 | + | 0.970134i | \(0.577990\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.199345 | + | 0.345276i | −0.00647102 | + | 0.0112081i | ||||
\(950\) | 0.989948 | − | 1.71464i | 0.0321182 | − | 0.0556303i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.41007 | −0.0781107 | ||||||||
\(953\) | −55.6923 | −1.80405 | −0.902025 | − | 0.431684i | \(-0.857919\pi\) | ||||
−0.902025 | + | 0.431684i | \(0.857919\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.5006 | + | 26.8479i | 0.501588 | + | 0.868777i | ||||
\(956\) | 10.7039 | + | 18.5397i | 0.346190 | + | 0.599618i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.575751 | + | 0.997231i | −0.0186017 | + | 0.0322191i | ||||
\(959\) | 8.19966 | − | 14.2022i | 0.264781 | − | 0.458614i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.9612 | + | 25.9135i | 0.482619 | + | 0.835921i | ||||
\(962\) | 0.100161 | 0.00322933 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 13.1622 | − | 22.7977i | 0.423927 | − | 0.734263i | ||||
\(965\) | −17.2281 | −0.554592 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.4746 | − | 45.8553i | 0.851366 | − | 1.47461i | −0.0286105 | − | 0.999591i | \(-0.509108\pi\) |
0.879976 | − | 0.475018i | \(-0.157558\pi\) | |||||||
\(968\) | 3.20406 | + | 5.54959i | 0.102982 | + | 0.178371i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0178669 | − | 0.0309464i | 0.000573672 | − | 0.000993629i | ||||
\(971\) | −12.2043 | + | 21.1385i | −0.391655 | + | 0.678366i | −0.992668 | − | 0.120873i | \(-0.961431\pi\) |
0.601013 | + | 0.799239i | \(0.294764\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.12636 | + | 12.3432i | −0.228461 | + | 0.395705i | ||||
\(974\) | −2.66361 | + | 4.61350i | −0.0853474 | + | 0.147826i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.63996 | − | 8.03664i | 0.148521 | − | 0.257247i | ||||
\(977\) | 11.8421 | + | 20.5111i | 0.378863 | + | 0.656209i | 0.990897 | − | 0.134622i | \(-0.0429819\pi\) |
−0.612034 | + | 0.790831i | \(0.709649\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.276724 | − | 0.479301i | 0.00884415 | − | 0.0153185i | ||||
\(980\) | 3.40943 | 0.108910 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −2.68660 | − | 4.65333i | −0.0857328 | − | 0.148494i | ||||
\(983\) | 19.5021 | 0.622019 | 0.311010 | − | 0.950407i | \(-0.399333\pi\) | ||||
0.311010 | + | 0.950407i | \(0.399333\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.4468 | − | 25.0226i | 0.460313 | − | 0.797285i | ||||
\(986\) | 0.540121 | + | 0.935517i | 0.0172010 | + | 0.0297929i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.17006 | − | 2.02660i | −0.0372245 | − | 0.0644747i | ||||
\(989\) | 2.46099 | + | 4.26256i | 0.0782549 | + | 0.135541i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.2282 | 0.579038 | 0.289519 | − | 0.957172i | \(-0.406505\pi\) | ||||
0.289519 | + | 0.957172i | \(0.406505\pi\) | |||||||
\(992\) | 0.899077 | + | 1.55725i | 0.0285457 | + | 0.0494426i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.89349 | + | 3.27962i | −0.0600578 | + | 0.104023i | ||||
\(995\) | 1.61127 | + | 2.79080i | 0.0510806 | + | 0.0884742i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.99013 | −0.0946984 | −0.0473492 | − | 0.998878i | \(-0.515077\pi\) | ||||
−0.0473492 | + | 0.998878i | \(0.515077\pi\) | |||||||
\(998\) | 1.53799 | − | 2.66387i | 0.0486842 | − | 0.0843235i | ||||
\(999\) | 0 | 0 |
(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 | 603.2.g.f.37.3 | 10 | ||
3.2 | odd | 2 | 201.2.e.c.37.3 | ✓ | 10 | ||
67.29 | even | 3 | inner | 603.2.g.f.163.3 | 10 | ||
201.29 | odd | 6 | 201.2.e.c.163.3 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.e.c.37.3 | ✓ | 10 | 3.2 | odd | 2 | ||
201.2.e.c.163.3 | yes | 10 | 201.29 | odd | 6 | ||
603.2.g.f.37.3 | 10 | 1.1 | even | 1 | trivial | ||
603.2.g.f.163.3 | 10 | 67.29 | even | 3 | inner |