Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [738,2,Mod(289,738)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(738, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("738.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 738 = 2 \cdot 3^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 738.u (of order \(20\), degree \(8\), 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: | \(5.89295966917\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 307.3 | ||
Character | \(\chi\) | \(=\) | 738.307 |
Dual form | 738.2.u.c.613.3 |
$q$-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 \(\left(\mathbb{Z}/738\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | − | 0.309017i | −0.672499 | − | 0.218508i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | 0.846136 | − | 1.16461i | 0.378404 | − | 0.520828i | −0.576757 | − | 0.816916i | \(-0.695682\pi\) |
0.955161 | + | 0.296088i | \(0.0956821\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.790595 | + | 0.402828i | 0.298817 | + | 0.152255i | 0.596971 | − | 0.802263i | \(-0.296371\pi\) |
−0.298154 | + | 0.954518i | \(0.596371\pi\) | |||||||
\(8\) | −0.587785 | − | 0.809017i | −0.207813 | − | 0.286031i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.16461 | + | 0.846136i | −0.368281 | + | 0.267572i | ||||
\(11\) | −0.893820 | + | 5.64336i | −0.269497 | + | 1.70154i | 0.366970 | + | 0.930233i | \(0.380395\pi\) |
−0.636467 | + | 0.771304i | \(0.719605\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.42371 | + | 4.75681i | 0.672217 | + | 1.31930i | 0.935069 | + | 0.354464i | \(0.115337\pi\) |
−0.262852 | + | 0.964836i | \(0.584663\pi\) | |||||||
\(14\) | −0.627420 | − | 0.627420i | −0.167685 | − | 0.167685i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −6.91240 | − | 1.09482i | −1.67650 | − | 0.265532i | −0.755518 | − | 0.655128i | \(-0.772615\pi\) |
−0.920986 | + | 0.389595i | \(0.872615\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.58063 | + | 3.10217i | −0.362622 | + | 0.711687i | −0.998176 | − | 0.0603701i | \(-0.980772\pi\) |
0.635554 | + | 0.772057i | \(0.280772\pi\) | |||||||
\(20\) | 1.36908 | − | 0.444840i | 0.306135 | − | 0.0994693i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.59397 | − | 5.09095i | 0.553036 | − | 1.08539i | ||||
\(23\) | 1.38107 | − | 4.25050i | 0.287973 | − | 0.886290i | −0.697519 | − | 0.716566i | \(-0.745713\pi\) |
0.985492 | − | 0.169723i | \(-0.0542874\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.904723 | + | 2.78445i | 0.180945 | + | 0.556890i | ||||
\(26\) | −0.835155 | − | 5.27296i | −0.163787 | − | 1.03411i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.402828 | + | 0.790595i | 0.0761274 | + | 0.149408i | ||||
\(29\) | 4.45414 | − | 0.705466i | 0.827112 | − | 0.131002i | 0.271495 | − | 0.962440i | \(-0.412482\pi\) |
0.555617 | + | 0.831438i | \(0.312482\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.563629 | − | 0.409501i | 0.101231 | − | 0.0735485i | −0.536018 | − | 0.844206i | \(-0.680072\pi\) |
0.637249 | + | 0.770658i | \(0.280072\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.23577 | + | 3.17728i | 1.06943 | + | 0.544900i | ||||
\(35\) | 1.13809 | − | 0.579885i | 0.192372 | − | 0.0980184i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.84252 | + | 5.69793i | 1.28930 | + | 0.936733i | 0.999791 | − | 0.0204413i | \(-0.00650711\pi\) |
0.289512 | + | 0.957174i | \(0.406507\pi\) | |||||||
\(38\) | 2.46190 | − | 2.46190i | 0.399372 | − | 0.399372i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.43953 | −0.227610 | ||||||||
\(41\) | 3.59523 | + | 5.29852i | 0.561481 | + | 0.827489i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11.8768 | − | 3.85901i | −1.81119 | − | 0.588493i | −0.999993 | − | 0.00372596i | \(-0.998814\pi\) |
−0.811201 | − | 0.584767i | \(-0.801186\pi\) | |||||||
\(44\) | −4.04020 | + | 4.04020i | −0.609083 | + | 0.609083i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.62695 | + | 3.61569i | −0.387323 | + | 0.533104i | ||||
\(47\) | −1.53521 | + | 0.782229i | −0.223933 | + | 0.114100i | −0.562358 | − | 0.826894i | \(-0.690106\pi\) |
0.338425 | + | 0.940993i | \(0.390106\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.65173 | − | 5.02617i | −0.521675 | − | 0.718024i | ||||
\(50\) | − | 2.92774i | − | 0.414045i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.835155 | + | 5.27296i | −0.115815 | + | 0.731228i | ||||
\(53\) | 0.911637 | − | 0.144389i | 0.125223 | − | 0.0198334i | −0.0935084 | − | 0.995618i | \(-0.529808\pi\) |
0.218731 | + | 0.975785i | \(0.429808\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.81600 | + | 5.81600i | 0.784230 | + | 0.784230i | ||||
\(56\) | −0.138805 | − | 0.876381i | −0.0185486 | − | 0.117111i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.45414 | − | 0.705466i | −0.584857 | − | 0.0926322i | ||||
\(59\) | −3.38300 | + | 10.4118i | −0.440429 | + | 1.35550i | 0.446991 | + | 0.894538i | \(0.352496\pi\) |
−0.887420 | + | 0.460962i | \(0.847504\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.8112 | − | 4.16262i | 1.64031 | − | 0.532969i | 0.663701 | − | 0.747998i | \(-0.268985\pi\) |
0.976608 | + | 0.215029i | \(0.0689847\pi\) | |||||||
\(62\) | −0.662586 | + | 0.215287i | −0.0841485 | + | 0.0273415i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 7.59060 | + | 1.20223i | 0.941498 | + | 0.149119i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.20927 | + | 13.9488i | 0.269905 | + | 1.70411i | 0.634480 | + | 0.772940i | \(0.281214\pi\) |
−0.364574 | + | 0.931174i | \(0.618786\pi\) | |||||||
\(68\) | −4.94874 | − | 4.94874i | −0.600122 | − | 0.600122i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.26158 | + | 0.199815i | −0.150788 | + | 0.0238824i | ||||
\(71\) | −1.93701 | + | 12.2298i | −0.229881 | + | 1.45141i | 0.555044 | + | 0.831821i | \(0.312701\pi\) |
−0.784925 | + | 0.619591i | \(0.787299\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 10.3536i | − | 1.21180i | −0.795541 | − | 0.605899i | \(-0.792813\pi\) | ||
0.795541 | − | 0.605899i | \(-0.207187\pi\) | |||||||
\(74\) | −5.69793 | − | 7.84252i | −0.662370 | − | 0.911675i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.10217 | + | 1.58063i | −0.355843 | + | 0.181311i | ||||
\(77\) | −2.97995 | + | 4.10156i | −0.339597 | + | 0.467416i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.39002 | − | 8.39002i | 0.943951 | − | 0.943951i | −0.0545599 | − | 0.998511i | \(-0.517376\pi\) |
0.998511 | + | 0.0545599i | \(0.0173756\pi\) | |||||||
\(80\) | 1.36908 | + | 0.444840i | 0.153068 | + | 0.0497347i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.78194 | − | 6.15018i | −0.196782 | − | 0.679174i | ||||
\(83\) | 12.1920 | 1.33824 | 0.669120 | − | 0.743154i | \(-0.266671\pi\) | ||||
0.669120 | + | 0.743154i | \(0.266671\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.12387 | + | 7.12387i | −0.772692 | + | 0.772692i | ||||
\(86\) | 10.1030 | + | 7.34026i | 1.08944 | + | 0.791521i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.09095 | − | 2.59397i | 0.542697 | − | 0.276518i | ||||
\(89\) | −0.841889 | − | 0.428964i | −0.0892400 | − | 0.0454701i | 0.408801 | − | 0.912624i | \(-0.365947\pi\) |
−0.498041 | + | 0.867154i | \(0.665947\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.73705i | 0.496578i | ||||||||
\(92\) | 3.61569 | − | 2.62695i | 0.376961 | − | 0.273879i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.70179 | − | 0.269538i | 0.175527 | − | 0.0278007i | ||||
\(95\) | 2.27538 | + | 4.46568i | 0.233449 | + | 0.458169i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.0457970 | + | 0.289151i | 0.00464998 | + | 0.0293588i | 0.989904 | − | 0.141738i | \(-0.0452690\pi\) |
−0.985254 | + | 0.171097i | \(0.945269\pi\) | |||||||
\(98\) | 1.91983 | + | 5.90862i | 0.193932 | + | 0.596861i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.904723 | + | 2.78445i | −0.0904723 | + | 0.278445i | ||||
\(101\) | 1.24717 | − | 2.44771i | 0.124098 | − | 0.243556i | −0.820596 | − | 0.571508i | \(-0.806358\pi\) |
0.944694 | + | 0.327952i | \(0.106358\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.87199 | − | 1.58301i | 0.480052 | − | 0.155978i | −0.0589878 | − | 0.998259i | \(-0.518787\pi\) |
0.539040 | + | 0.842280i | \(0.318787\pi\) | |||||||
\(104\) | 2.42371 | − | 4.75681i | 0.237665 | − | 0.466443i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.911637 | − | 0.144389i | −0.0885460 | − | 0.0140243i | ||||
\(107\) | 0.889379 | + | 2.73723i | 0.0859795 | + | 0.264618i | 0.984798 | − | 0.173703i | \(-0.0555733\pi\) |
−0.898819 | + | 0.438321i | \(0.855573\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.16258 | − | 8.16258i | −0.781833 | − | 0.781833i | 0.198307 | − | 0.980140i | \(-0.436456\pi\) |
−0.980140 | + | 0.198307i | \(0.936456\pi\) | |||||||
\(110\) | −3.73410 | − | 7.32859i | −0.356033 | − | 0.698754i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.138805 | + | 0.876381i | −0.0131159 | + | 0.0828103i | ||||
\(113\) | 7.75953 | − | 5.63763i | 0.729955 | − | 0.530343i | −0.159594 | − | 0.987183i | \(-0.551019\pi\) |
0.889549 | + | 0.456839i | \(0.151019\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.78158 | − | 5.20490i | −0.352634 | − | 0.485360i | ||||
\(116\) | 4.01813 | + | 2.04734i | 0.373074 | + | 0.190091i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.43484 | − | 8.85680i | 0.592375 | − | 0.815335i | ||||
\(119\) | −5.02389 | − | 3.65007i | −0.460539 | − | 0.334601i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −20.5870 | − | 6.68911i | −1.87154 | − | 0.608101i | ||||
\(122\) | −13.4705 | −1.21956 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.696684 | 0.0625641 | ||||||||
\(125\) | 10.8537 | + | 3.52658i | 0.970784 | + | 0.315427i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.71963 | − | 7.06173i | −0.862478 | − | 0.626627i | 0.0660800 | − | 0.997814i | \(-0.478951\pi\) |
−0.928558 | + | 0.371187i | \(0.878951\pi\) | |||||||
\(128\) | 0.587785 | − | 0.809017i | 0.0519534 | − | 0.0715077i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.84758 | − | 3.48902i | −0.600573 | − | 0.306007i | ||||
\(131\) | −2.56863 | − | 3.53541i | −0.224422 | − | 0.308890i | 0.681927 | − | 0.731420i | \(-0.261142\pi\) |
−0.906349 | + | 0.422530i | \(0.861142\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.49928 | + | 1.81584i | −0.216715 | + | 0.157453i | ||||
\(134\) | 2.20927 | − | 13.9488i | 0.190852 | − | 1.20499i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.17728 | + | 6.23577i | 0.272450 | + | 0.534713i | ||||
\(137\) | −9.96448 | − | 9.96448i | −0.851323 | − | 0.851323i | 0.138973 | − | 0.990296i | \(-0.455620\pi\) |
−0.990296 | + | 0.138973i | \(0.955620\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.67948 | − | 5.16891i | −0.142452 | − | 0.438421i | 0.854223 | − | 0.519907i | \(-0.174033\pi\) |
−0.996675 | + | 0.0814858i | \(0.974033\pi\) | |||||||
\(140\) | 1.26158 | + | 0.199815i | 0.106623 | + | 0.0168874i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.62143 | − | 11.0327i | 0.471740 | − | 0.925841i | ||||
\(143\) | −29.0107 | + | 9.42616i | −2.42600 | + | 0.788255i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.94722 | − | 5.78424i | 0.244753 | − | 0.480355i | ||||
\(146\) | −3.19944 | + | 9.84687i | −0.264788 | + | 0.814933i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.99558 | + | 9.21944i | 0.246235 | + | 0.757833i | ||||
\(149\) | 1.47039 | + | 9.28367i | 0.120459 | + | 0.760548i | 0.971778 | + | 0.235899i | \(0.0758034\pi\) |
−0.851319 | + | 0.524649i | \(0.824197\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.55451 | + | 3.05089i | 0.126504 | + | 0.248278i | 0.945568 | − | 0.325424i | \(-0.105507\pi\) |
−0.819064 | + | 0.573702i | \(0.805507\pi\) | |||||||
\(152\) | 3.43878 | − | 0.544650i | 0.278922 | − | 0.0441769i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.10156 | − | 2.97995i | 0.330513 | − | 0.240132i | ||||
\(155\) | − | 1.00290i | − | 0.0805548i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.56140 | + | 2.32415i | 0.364039 | + | 0.185487i | 0.626436 | − | 0.779473i | \(-0.284513\pi\) |
−0.262397 | + | 0.964960i | \(0.584513\pi\) | |||||||
\(158\) | −10.5720 | + | 5.38672i | −0.841066 | + | 0.428545i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.16461 | − | 0.846136i | −0.0920703 | − | 0.0668930i | ||||
\(161\) | 2.80409 | − | 2.80409i | 0.220993 | − | 0.220993i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.387993 | −0.0303899 | −0.0151950 | − | 0.999885i | \(-0.504837\pi\) | ||||
−0.0151950 | + | 0.999885i | \(0.504837\pi\) | |||||||
\(164\) | −0.205785 | + | 6.39982i | −0.0160691 | + | 0.499742i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.5952 | − | 3.76752i | −0.899965 | − | 0.292416i | ||||
\(167\) | 6.00649 | − | 6.00649i | 0.464796 | − | 0.464796i | −0.435427 | − | 0.900224i | \(-0.643403\pi\) |
0.900224 | + | 0.435427i | \(0.143403\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.11160 | + | 12.5410i | −0.700893 | + | 0.964696i | ||||
\(170\) | 8.97660 | − | 4.57381i | 0.688474 | − | 0.350795i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.34026 | − | 10.1030i | −0.559690 | − | 0.770347i | ||||
\(173\) | − | 22.2430i | − | 1.69111i | −0.533891 | − | 0.845553i | \(-0.679271\pi\) | ||
0.533891 | − | 0.845553i | \(-0.320729\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.406386 | + | 2.56582i | −0.0307199 | + | 0.193958i | ||||
\(176\) | −5.64336 | + | 0.893820i | −0.425384 | + | 0.0673742i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.668127 | + | 0.668127i | 0.0500782 | + | 0.0500782i | ||||
\(179\) | 1.69137 | + | 10.6789i | 0.126419 | + | 0.798176i | 0.966679 | + | 0.255993i | \(0.0824023\pi\) |
−0.840260 | + | 0.542184i | \(0.817598\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.4597 | − | 2.60697i | −1.22344 | − | 0.193774i | −0.488902 | − | 0.872339i | \(-0.662602\pi\) |
−0.734541 | + | 0.678565i | \(0.762602\pi\) | |||||||
\(182\) | 1.46383 | − | 4.50520i | 0.108506 | − | 0.333948i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.25050 | + | 1.38107i | −0.313351 | + | 0.101814i | ||||
\(185\) | 13.2717 | − | 4.31223i | 0.975754 | − | 0.317042i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.3569 | − | 38.0306i | 0.903626 | − | 2.78107i | ||||
\(188\) | −1.70179 | − | 0.269538i | −0.124116 | − | 0.0196581i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.784041 | − | 4.95024i | −0.0568803 | − | 0.359128i | ||||
\(191\) | 8.24003 | + | 8.24003i | 0.596228 | + | 0.596228i | 0.939307 | − | 0.343079i | \(-0.111470\pi\) |
−0.343079 | + | 0.939307i | \(0.611470\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.03339 | − | 0.480441i | 0.218348 | − | 0.0345829i | −0.0463019 | − | 0.998927i | \(-0.514744\pi\) |
0.264650 | + | 0.964345i | \(0.414744\pi\) | |||||||
\(194\) | 0.0457970 | − | 0.289151i | 0.00328804 | − | 0.0207598i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | − | 6.21269i | − | 0.443763i | ||||||
\(197\) | −3.12304 | − | 4.29849i | −0.222507 | − | 0.306255i | 0.683140 | − | 0.730288i | \(-0.260614\pi\) |
−0.905647 | + | 0.424033i | \(0.860614\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.96702 | + | 2.02130i | −0.281215 | + | 0.143286i | −0.588909 | − | 0.808199i | \(-0.700442\pi\) |
0.307695 | + | 0.951485i | \(0.400442\pi\) | |||||||
\(200\) | 1.72088 | − | 2.36859i | 0.121685 | − | 0.167485i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.94251 | + | 1.94251i | −0.136675 | + | 0.136675i | ||||
\(203\) | 3.80560 | + | 1.23651i | 0.267101 | + | 0.0867863i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.21275 | + | 0.296234i | 0.643446 | + | 0.0206899i | ||||
\(206\) | −5.12272 | −0.356917 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.77502 | + | 3.77502i | −0.261751 | + | 0.261751i | ||||
\(209\) | −16.0939 | − | 11.6929i | −1.11324 | − | 0.808813i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.72596 | + | 1.89847i | −0.256506 | + | 0.130696i | −0.577516 | − | 0.816380i | \(-0.695978\pi\) |
0.321010 | + | 0.947076i | \(0.395978\pi\) | |||||||
\(212\) | 0.822399 | + | 0.419033i | 0.0564826 | + | 0.0287793i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | − | 2.87809i | − | 0.196742i | ||||||
\(215\) | −14.5436 | + | 10.5666i | −0.991866 | + | 0.720633i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.610561 | − | 0.0967033i | 0.0414476 | − | 0.00656465i | ||||
\(218\) | 5.24070 | + | 10.2855i | 0.354945 | + | 0.696619i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.28668 | + | 8.12380i | 0.0867482 | + | 0.547707i | ||||
\(221\) | −11.5459 | − | 35.5345i | −0.776658 | − | 2.39031i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.14137 | − | 9.66814i | 0.210362 | − | 0.647426i | −0.789089 | − | 0.614279i | \(-0.789447\pi\) |
0.999450 | − | 0.0331473i | \(-0.0105530\pi\) | |||||||
\(224\) | 0.402828 | − | 0.790595i | 0.0269151 | − | 0.0528239i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.12187 | + | 2.96388i | −0.606778 | + | 0.197154i | ||||
\(227\) | 1.57821 | − | 3.09741i | 0.104749 | − | 0.205582i | −0.832683 | − | 0.553750i | \(-0.813196\pi\) |
0.937432 | + | 0.348168i | \(0.113196\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.1550 | − | 3.50900i | −1.46404 | − | 0.231881i | −0.626999 | − | 0.779020i | \(-0.715717\pi\) |
−0.837042 | + | 0.547138i | \(0.815717\pi\) | |||||||
\(230\) | 1.98810 | + | 6.11873i | 0.131091 | + | 0.403457i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.18881 | − | 3.18881i | −0.209356 | − | 0.209356i | ||||
\(233\) | −5.97422 | − | 11.7251i | −0.391384 | − | 0.768134i | 0.608289 | − | 0.793716i | \(-0.291856\pi\) |
−0.999673 | + | 0.0255816i | \(0.991856\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.388009 | + | 2.44979i | −0.0253109 | + | 0.159807i | ||||
\(236\) | −8.85680 | + | 6.43484i | −0.576529 | + | 0.418873i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.65007 | + | 5.02389i | 0.236599 | + | 0.325650i | ||||
\(239\) | 5.14915 | + | 2.62362i | 0.333071 | + | 0.169708i | 0.612526 | − | 0.790451i | \(-0.290154\pi\) |
−0.279455 | + | 0.960159i | \(0.590154\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.55085 | − | 6.26371i | 0.293146 | − | 0.403481i | −0.636887 | − | 0.770957i | \(-0.719778\pi\) |
0.930033 | + | 0.367476i | \(0.119778\pi\) | |||||||
\(242\) | 17.5123 | + | 12.7234i | 1.12573 | + | 0.817894i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.8112 | + | 4.16262i | 0.820154 | + | 0.266484i | ||||
\(245\) | −8.94337 | −0.571371 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.5874 | −1.18269 | ||||||||
\(248\) | −0.662586 | − | 0.215287i | −0.0420742 | − | 0.0136707i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.23271 | − | 6.70795i | −0.583928 | − | 0.424248i | ||||
\(251\) | −13.1223 | + | 18.0613i | −0.828273 | + | 1.14002i | 0.159969 | + | 0.987122i | \(0.448861\pi\) |
−0.988242 | + | 0.152898i | \(0.951139\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.7526 | + | 11.5931i | 1.43045 | + | 0.728849i | ||||
\(254\) | 7.06173 | + | 9.71963i | 0.443092 | + | 0.609864i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −4.60599 | + | 29.0811i | −0.287314 | + | 1.81403i | 0.247309 | + | 0.968937i | \(0.420454\pi\) |
−0.534623 | + | 0.845091i | \(0.679546\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.90497 | + | 7.66394i | 0.242643 | + | 0.476214i | ||||
\(260\) | 5.43427 | + | 5.43427i | 0.337019 | + | 0.337019i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.35041 | + | 4.15613i | 0.0834284 | + | 0.256766i | ||||
\(263\) | 2.64972 | + | 0.419674i | 0.163389 | + | 0.0258782i | 0.237593 | − | 0.971365i | \(-0.423642\pi\) |
−0.0742041 | + | 0.997243i | \(0.523642\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.603213 | − | 1.18387i | 0.0370551 | − | 0.0727246i | ||||
\(266\) | 2.93808 | − | 0.954641i | 0.180146 | − | 0.0585328i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.41155 | + | 12.5834i | −0.391648 | + | 0.768652i | ||||
\(269\) | 5.93792 | − | 18.2750i | 0.362041 | − | 1.11425i | −0.589772 | − | 0.807570i | \(-0.700782\pi\) |
0.951813 | − | 0.306679i | \(-0.0992177\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.71424 | + | 14.5089i | 0.286369 | + | 0.881354i | 0.985985 | + | 0.166835i | \(0.0533547\pi\) |
−0.699615 | + | 0.714520i | \(0.746645\pi\) | |||||||
\(272\) | −1.09482 | − | 6.91240i | −0.0663831 | − | 0.419126i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.39759 | + | 12.5560i | 0.386493 | + | 0.758534i | ||||
\(275\) | −16.5223 | + | 2.61688i | −0.996333 | + | 0.157804i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.8093 | − | 14.3923i | 1.19022 | − | 0.864747i | 0.196935 | − | 0.980417i | \(-0.436901\pi\) |
0.993288 | + | 0.115669i | \(0.0369013\pi\) | |||||||
\(278\) | 5.43492i | 0.325965i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.13809 | − | 0.579885i | −0.0680138 | − | 0.0346547i | ||||
\(281\) | 13.9568 | − | 7.11133i | 0.832592 | − | 0.424227i | 0.0149041 | − | 0.999889i | \(-0.495256\pi\) |
0.817688 | + | 0.575662i | \(0.195256\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.6965 | − | 11.4042i | −0.933060 | − | 0.677908i | 0.0136798 | − | 0.999906i | \(-0.495645\pi\) |
−0.946740 | + | 0.321998i | \(0.895645\pi\) | |||||||
\(284\) | −8.75558 | + | 8.75558i | −0.519548 | + | 0.519548i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 30.5037 | 1.80372 | ||||||||
\(287\) | 0.707982 | + | 5.63724i | 0.0417908 | + | 0.332756i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 30.4148 | + | 9.88235i | 1.78910 | + | 0.581315i | ||||
\(290\) | −4.59040 | + | 4.59040i | −0.269557 | + | 0.269557i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.08570 | − | 8.37625i | 0.356139 | − | 0.490183i | ||||
\(293\) | 6.94136 | − | 3.53680i | 0.405518 | − | 0.206622i | −0.239320 | − | 0.970941i | \(-0.576925\pi\) |
0.644839 | + | 0.764319i | \(0.276925\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.26317 | + | 12.7497i | 0.539323 | + | 0.742314i | ||||
\(296\) | − | 9.69389i | − | 0.563446i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.47039 | − | 9.28367i | 0.0851773 | − | 0.537788i | ||||
\(299\) | 23.5661 | − | 3.73250i | 1.36286 | − | 0.215856i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.83522 | − | 7.83522i | −0.451615 | − | 0.451615i | ||||
\(302\) | −0.535646 | − | 3.38194i | −0.0308230 | − | 0.194609i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.43878 | − | 0.544650i | −0.197228 | − | 0.0312378i | ||||
\(305\) | 5.99223 | − | 18.4422i | 0.343114 | − | 1.05600i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.01133 | − | 1.62828i | 0.286012 | − | 0.0929308i | −0.162498 | − | 0.986709i | \(-0.551955\pi\) |
0.448509 | + | 0.893778i | \(0.351955\pi\) | |||||||
\(308\) | −4.82167 | + | 1.56666i | −0.274740 | + | 0.0892685i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.309913 | + | 0.953814i | −0.0176019 | + | 0.0541730i | ||||
\(311\) | −16.6566 | − | 2.63814i | −0.944507 | − | 0.149595i | −0.334860 | − | 0.942268i | \(-0.608689\pi\) |
−0.609647 | + | 0.792673i | \(0.708689\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.15232 | + | 7.27549i | 0.0651332 | + | 0.411235i | 0.998615 | + | 0.0526103i | \(0.0167541\pi\) |
−0.933482 | + | 0.358624i | \(0.883246\pi\) | |||||||
\(314\) | −3.61995 | − | 3.61995i | −0.204286 | − | 0.204286i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.7192 | − | 1.85614i | 0.659256 | − | 0.104416i | ||||
\(317\) | 0.181174 | − | 1.14389i | 0.0101757 | − | 0.0642471i | −0.982078 | − | 0.188475i | \(-0.939645\pi\) |
0.992254 | + | 0.124228i | \(0.0396455\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 25.7669i | 1.44267i | ||||||||
\(320\) | 0.846136 | + | 1.16461i | 0.0473005 | + | 0.0651035i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.53336 | + | 1.80033i | −0.196906 | + | 0.100329i | ||||
\(323\) | 14.3223 | − | 19.7129i | 0.796914 | − | 1.09686i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.0523 | + | 11.0523i | −0.613071 | + | 0.613071i | ||||
\(326\) | 0.369003 | + | 0.119896i | 0.0204372 | + | 0.00664045i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.17336 | − | 6.02300i | 0.120004 | − | 0.332564i | ||||
\(329\) | −1.52883 | −0.0842873 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.2677 | + | 14.2677i | −0.784224 | + | 0.784224i | −0.980541 | − | 0.196317i | \(-0.937102\pi\) |
0.196317 | + | 0.980541i | \(0.437102\pi\) | |||||||
\(332\) | 9.86349 | + | 7.16625i | 0.541330 | + | 0.393299i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.56862 | + | 3.85641i | −0.414137 | + | 0.211013i | ||||
\(335\) | 18.1142 | + | 9.22964i | 0.989683 | + | 0.504269i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.9837i | 0.598319i | 0.954203 | + | 0.299160i | \(0.0967063\pi\) | ||||
−0.954203 | + | 0.299160i | \(0.903294\pi\) | |||||||
\(338\) | 12.5410 | − | 9.11160i | 0.682143 | − | 0.495606i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.95064 | + | 1.57603i | −0.539649 | + | 0.0854720i | ||||
\(341\) | 1.80718 | + | 3.54678i | 0.0978640 | + | 0.192069i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.83399 | − | 11.5794i | −0.0990261 | − | 0.625226i | ||||
\(344\) | 3.85901 | + | 11.8768i | 0.208064 | + | 0.640354i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.87348 | + | 21.1544i | −0.369520 | + | 1.13727i | ||||
\(347\) | 15.8032 | − | 31.0156i | 0.848361 | − | 1.66500i | 0.106637 | − | 0.994298i | \(-0.465992\pi\) |
0.741724 | − | 0.670705i | \(-0.234008\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.17427 | + | 1.03138i | −0.169915 | + | 0.0552086i | −0.392739 | − | 0.919650i | \(-0.628472\pi\) |
0.222824 | + | 0.974859i | \(0.428472\pi\) | |||||||
\(350\) | 1.17938 | − | 2.31466i | 0.0630404 | − | 0.123724i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.64336 | + | 0.893820i | 0.300792 | + | 0.0476408i | ||||
\(353\) | 3.43437 | + | 10.5699i | 0.182793 | + | 0.562580i | 0.999903 | − | 0.0139018i | \(-0.00442521\pi\) |
−0.817110 | + | 0.576482i | \(0.804425\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.6039 | + | 12.6039i | 0.668948 | + | 0.668948i | ||||
\(356\) | −0.428964 | − | 0.841889i | −0.0227350 | − | 0.0446200i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.69137 | − | 10.6789i | 0.0893915 | − | 0.564396i | ||||
\(359\) | −9.80178 | + | 7.12141i | −0.517318 | + | 0.375854i | −0.815593 | − | 0.578627i | \(-0.803589\pi\) |
0.298275 | + | 0.954480i | \(0.403589\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.04287 | + | 5.56453i | 0.212782 | + | 0.292870i | ||||
\(362\) | 14.8485 | + | 7.56571i | 0.780422 | + | 0.397645i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.78437 | + | 3.83235i | −0.145940 | + | 0.200870i | ||||
\(365\) | −12.0579 | − | 8.76057i | −0.631139 | − | 0.458549i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.0683 | + | 5.54583i | 0.890958 | + | 0.289490i | 0.718500 | − | 0.695527i | \(-0.244829\pi\) |
0.172458 | + | 0.985017i | \(0.444829\pi\) | |||||||
\(368\) | 4.46924 | 0.232975 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.9547 | −0.725469 | ||||||||
\(371\) | 0.778899 | + | 0.253080i | 0.0404384 | + | 0.0131392i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.77571 | + | 2.01667i | 0.143721 | + | 0.104419i | 0.657322 | − | 0.753610i | \(-0.271689\pi\) |
−0.513601 | + | 0.858029i | \(0.671689\pi\) | |||||||
\(374\) | −23.5042 | + | 32.3508i | −1.21537 | + | 1.67282i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.53521 | + | 0.782229i | 0.0791724 | + | 0.0403404i | ||||
\(377\) | 14.1513 | + | 19.4776i | 0.728830 | + | 1.00315i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.8692 | − | 19.5216i | 1.38018 | − | 1.00276i | 0.383314 | − | 0.923618i | \(-0.374783\pi\) |
0.996864 | − | 0.0791397i | \(-0.0252173\pi\) | |||||||
\(380\) | −0.784041 | + | 4.95024i | −0.0402205 | + | 0.253942i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.29043 | − | 10.3830i | −0.270682 | − | 0.531243i | ||||
\(383\) | 4.32953 | + | 4.32953i | 0.221228 | + | 0.221228i | 0.809016 | − | 0.587787i | \(-0.200001\pi\) |
−0.587787 | + | 0.809016i | \(0.700001\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.25525 | + | 6.94095i | 0.114938 | + | 0.353744i | ||||
\(386\) | −3.03339 | − | 0.480441i | −0.154395 | − | 0.0244538i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.132908 | + | 0.260847i | −0.00674739 | + | 0.0132425i | ||||
\(389\) | 29.9212 | − | 9.72199i | 1.51707 | − | 0.492924i | 0.572125 | − | 0.820167i | \(-0.306119\pi\) |
0.944941 | + | 0.327242i | \(0.106119\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.2000 | + | 27.8691i | −0.718126 | + | 1.40940i | ||||
\(392\) | −1.91983 | + | 5.90862i | −0.0969659 | + | 0.298430i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.64188 | + | 5.05318i | 0.0827166 | + | 0.254575i | ||||
\(395\) | −2.67197 | − | 16.8702i | −0.134442 | − | 0.848830i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.9392 | − | 29.3197i | −0.749774 | − | 1.47152i | −0.877434 | − | 0.479697i | \(-0.840747\pi\) |
0.127660 | − | 0.991818i | \(-0.459253\pi\) | |||||||
\(398\) | 4.39748 | − | 0.696492i | 0.220426 | − | 0.0349120i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.36859 | + | 1.72088i | −0.118430 | + | 0.0860442i | ||||
\(401\) | − | 1.47694i | − | 0.0737549i | −0.999320 | − | 0.0368775i | \(-0.988259\pi\) | ||
0.999320 | − | 0.0368775i | \(-0.0117411\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.31399 | + | 1.68856i | 0.165082 | + | 0.0841133i | ||||
\(404\) | 2.44771 | − | 1.24717i | 0.121778 | − | 0.0620490i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.23724 | − | 2.35199i | −0.160661 | − | 0.116727i | ||||
\(407\) | −39.1653 | + | 39.1653i | −1.94135 | + | 1.94135i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.88842 | 0.192270 | 0.0961350 | − | 0.995368i | \(-0.469352\pi\) | ||||
0.0961350 | + | 0.995368i | \(0.469352\pi\) | |||||||
\(410\) | −8.67030 | − | 3.12863i | −0.428196 | − | 0.154512i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.87199 | + | 1.58301i | 0.240026 | + | 0.0779891i | ||||
\(413\) | −6.86875 | + | 6.86875i | −0.337989 | + | 0.337989i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.3161 | − | 14.1988i | 0.506395 | − | 0.696993i | ||||
\(416\) | 4.75681 | − | 2.42371i | 0.233222 | − | 0.118832i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.6929 | + | 16.0939i | 0.571917 | + | 0.787176i | ||||
\(419\) | 14.8830i | 0.727082i | 0.931578 | + | 0.363541i | \(0.118432\pi\) | ||||
−0.931578 | + | 0.363541i | \(0.881568\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.78083 | + | 11.2437i | −0.0867924 | + | 0.547986i | 0.905528 | + | 0.424288i | \(0.139475\pi\) |
−0.992320 | + | 0.123698i | \(0.960525\pi\) | |||||||
\(422\) | 4.13026 | − | 0.654169i | 0.201058 | − | 0.0318444i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.652660 | − | 0.652660i | −0.0316960 | − | 0.0316960i | ||||
\(425\) | −3.20534 | − | 20.2377i | −0.155482 | − | 0.981675i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.8053 | + | 1.86978i | 0.571299 | + | 0.0904849i | ||||
\(428\) | −0.889379 | + | 2.73723i | −0.0429897 | + | 0.132309i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 17.0970 | − | 5.55517i | 0.824493 | − | 0.267894i | ||||
\(431\) | −36.2549 | + | 11.7799i | −1.74634 | + | 0.567419i | −0.995644 | − | 0.0932334i | \(-0.970280\pi\) |
−0.750692 | + | 0.660652i | \(0.770280\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.361107 | − | 1.11137i | 0.0173537 | − | 0.0534092i | −0.942005 | − | 0.335600i | \(-0.891061\pi\) |
0.959358 | + | 0.282191i | \(0.0910610\pi\) | |||||||
\(434\) | −0.610561 | − | 0.0967033i | −0.0293079 | − | 0.00464191i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.80582 | − | 11.4015i | −0.0864832 | − | 0.546033i | ||||
\(437\) | 11.0028 | + | 11.0028i | 0.526335 | + | 0.526335i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.0879 | − | 5.24060i | 1.57920 | − | 0.250120i | 0.695622 | − | 0.718408i | \(-0.255129\pi\) |
0.883576 | + | 0.468288i | \(0.155129\pi\) | |||||||
\(440\) | 1.28668 | − | 8.12380i | 0.0613403 | − | 0.387287i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 37.3632i | 1.77718i | ||||||||
\(443\) | −12.1480 | − | 16.7203i | −0.577170 | − | 0.794406i | 0.416212 | − | 0.909268i | \(-0.363357\pi\) |
−0.993381 | + | 0.114862i | \(0.963357\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.21193 | + | 0.617508i | −0.0574508 | + | 0.0292727i | ||||
\(446\) | −5.97524 | + | 8.22421i | −0.282936 | + | 0.389428i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.627420 | + | 0.627420i | −0.0296428 | + | 0.0296428i | ||||
\(449\) | −18.7157 | − | 6.08109i | −0.883248 | − | 0.286985i | −0.167943 | − | 0.985797i | \(-0.553712\pi\) |
−0.715305 | + | 0.698812i | \(0.753712\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −33.1149 | + | 15.5533i | −1.55932 | + | 0.732375i | ||||
\(452\) | 9.59130 | 0.451137 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.45812 | + | 2.45812i | −0.115365 | + | 0.115365i | ||||
\(455\) | 5.51680 | + | 4.00819i | 0.258632 | + | 0.187907i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.59021 | − | 4.37693i | 0.401833 | − | 0.204744i | −0.241381 | − | 0.970430i | \(-0.577600\pi\) |
0.643214 | + | 0.765686i | \(0.277600\pi\) | |||||||
\(458\) | 19.9863 | + | 10.1835i | 0.933898 | + | 0.475845i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 6.43361i | − | 0.299969i | ||||||
\(461\) | −21.7334 | + | 15.7902i | −1.01223 | + | 0.735425i | −0.964675 | − | 0.263444i | \(-0.915142\pi\) |
−0.0475506 | + | 0.998869i | \(0.515142\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −18.6786 | + | 2.95841i | −0.868070 | + | 0.137489i | −0.574556 | − | 0.818466i | \(-0.694825\pi\) |
−0.293515 | + | 0.955954i | \(0.594825\pi\) | |||||||
\(464\) | 2.04734 | + | 4.01813i | 0.0950455 | + | 0.186537i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.05857 | + | 12.9973i | 0.0953616 | + | 0.602090i | ||||
\(467\) | −1.76825 | − | 5.44211i | −0.0818248 | − | 0.251831i | 0.901772 | − | 0.432212i | \(-0.142267\pi\) |
−0.983597 | + | 0.180381i | \(0.942267\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.87232 | + | 11.9178i | −0.178807 | + | 0.550312i | ||||
\(470\) | 1.12604 | − | 2.20999i | 0.0519406 | − | 0.101939i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 10.4118 | − | 3.38300i | 0.479242 | − | 0.155715i | ||||
\(473\) | 32.3935 | − | 63.5758i | 1.48945 | − | 2.92322i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.0679 | − | 1.59459i | −0.461946 | − | 0.0731650i | ||||
\(476\) | −1.91896 | − | 5.90594i | −0.0879552 | − | 0.270698i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.08639 | − | 4.08639i | −0.186907 | − | 0.186907i | ||||
\(479\) | −6.40032 | − | 12.5613i | −0.292438 | − | 0.573942i | 0.697310 | − | 0.716770i | \(-0.254380\pi\) |
−0.989747 | + | 0.142828i | \(0.954380\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.09590 | + | 51.1155i | −0.369141 | + | 2.33067i | ||||
\(482\) | −6.26371 | + | 4.55085i | −0.285304 | + | 0.207286i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.7234 | − | 17.5123i | −0.578339 | − | 0.796015i | ||||
\(485\) | 0.375498 | + | 0.191326i | 0.0170505 | + | 0.00868765i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.0646026 | − | 0.0889178i | 0.00292742 | − | 0.00402925i | −0.807551 | − | 0.589798i | \(-0.799207\pi\) |
0.810478 | + | 0.585769i | \(0.199207\pi\) | |||||||
\(488\) | −10.8979 | − | 7.91777i | −0.493324 | − | 0.358421i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.50565 | + | 2.76365i | 0.384246 | + | 0.124849i | ||||
\(491\) | 0.236875 | 0.0106900 | 0.00534502 | − | 0.999986i | \(-0.498299\pi\) | ||||
0.00534502 | + | 0.999986i | \(0.498299\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −31.5612 | −1.42144 | ||||||||
\(494\) | 17.6777 | + | 5.74383i | 0.795357 | + | 0.258427i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.563629 | + | 0.409501i | 0.0253077 | + | 0.0183871i | ||||
\(497\) | −6.45791 | + | 8.88855i | −0.289677 | + | 0.398706i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.4628 | + | 10.4263i | 0.916039 | + | 0.466745i | 0.847435 | − | 0.530899i | \(-0.178146\pi\) |
0.0686040 | + | 0.997644i | \(0.478146\pi\) | |||||||
\(500\) | 6.70795 | + | 9.23271i | 0.299989 | + | 0.412899i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 18.0613 | − | 13.1223i | 0.806116 | − | 0.585677i | ||||
\(503\) | −0.534822 | + | 3.37673i | −0.0238465 | + | 0.150561i | −0.996739 | − | 0.0806989i | \(-0.974285\pi\) |
0.972892 | + | 0.231260i | \(0.0742848\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.79534 | − | 3.52356i | −0.0798917 | − | 0.156796i | ||||
\(506\) | −18.0566 | − | 18.0566i | −0.802714 | − | 0.802714i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.71257 | − | 11.4261i | −0.164719 | − | 0.506952i | ||||
\(509\) | 29.7901 | + | 4.71828i | 1.32042 | + | 0.209134i | 0.776561 | − | 0.630042i | \(-0.216962\pi\) |
0.543860 | + | 0.839176i | \(0.316962\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.17073 | − | 8.18551i | 0.184502 | − | 0.362106i | ||||
\(512\) | 0.951057 | − | 0.309017i | 0.0420312 | − | 0.0136568i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.3671 | − | 26.2344i | 0.589598 | − | 1.15715i | ||||
\(515\) | 2.27879 | − | 7.01340i | 0.100416 | − | 0.309047i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.04220 | − | 9.36292i | −0.133796 | − | 0.411781i | ||||
\(518\) | −1.34556 | − | 8.49555i | −0.0591206 | − | 0.373273i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.48902 | − | 6.84758i | −0.153003 | − | 0.300286i | ||||
\(521\) | −8.22561 | + | 1.30281i | −0.360370 | + | 0.0570771i | −0.333994 | − | 0.942575i | \(-0.608397\pi\) |
−0.0263759 | + | 0.999652i | \(0.508397\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.4663 | − | 9.78383i | 0.588840 | − | 0.427817i | −0.253060 | − | 0.967450i | \(-0.581437\pi\) |
0.841900 | + | 0.539633i | \(0.181437\pi\) | |||||||
\(524\) | − | 4.37001i | − | 0.190905i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.39035 | − | 1.21794i | −0.104224 | − | 0.0531048i | ||||
\(527\) | −4.34436 | + | 2.21356i | −0.189243 | + | 0.0964243i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.44803 | + | 1.77860i | 0.106436 | + | 0.0773304i | ||||
\(530\) | −0.939526 | + | 0.939526i | −0.0408104 | + | 0.0408104i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.08928 | −0.133937 | ||||||||
\(533\) | −16.4902 | + | 29.9439i | −0.714270 | + | 1.29702i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.94033 | + | 1.28029i | 0.170355 | + | 0.0553518i | ||||
\(536\) | 9.98622 | − | 9.98622i | 0.431339 | − | 0.431339i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.2946 | + | 15.5457i | −0.486944 | + | 0.670222i | ||||
\(539\) | 31.6285 | − | 16.1155i | 1.36233 | − | 0.694144i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.34004 | + | 12.8555i | 0.401560 | + | 0.552700i | 0.961135 | − | 0.276080i | \(-0.0890355\pi\) |
−0.559575 | + | 0.828780i | \(0.689036\pi\) | |||||||
\(542\) | − | 15.2556i | − | 0.655284i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.09482 | + | 6.91240i | −0.0469399 | + | 0.296367i | ||||
\(545\) | −16.4129 | + | 2.59954i | −0.703049 | + | 0.111352i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.1365 | + | 10.1365i | 0.433407 | + | 0.433407i | 0.889786 | − | 0.456379i | \(-0.150854\pi\) |
−0.456379 | + | 0.889786i | \(0.650854\pi\) | |||||||
\(548\) | −2.20446 | − | 13.9184i | −0.0941698 | − | 0.594565i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 16.5223 | + | 2.61688i | 0.704514 | + | 0.111584i | ||||
\(551\) | −4.85189 | + | 14.9326i | −0.206697 | + | 0.636149i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.0128 | − | 3.25337i | 0.425789 | − | 0.138347i | ||||
\(554\) | −23.2872 | + | 7.56646i | −0.989377 | + | 0.321468i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.67948 | − | 5.16891i | 0.0712259 | − | 0.219211i | ||||
\(557\) | 9.91497 | + | 1.57038i | 0.420111 | + | 0.0665390i | 0.362911 | − | 0.931824i | \(-0.381783\pi\) |
0.0571997 | + | 0.998363i | \(0.481783\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.4294 | − | 65.8487i | −0.441117 | − | 2.78510i | ||||
\(560\) | 0.903192 | + | 0.903192i | 0.0381668 | + | 0.0381668i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.4712 | + | 2.45040i | −0.652614 | + | 0.103364i | ||||
\(563\) | 4.18180 | − | 26.4028i | 0.176242 | − | 1.11275i | −0.727953 | − | 0.685627i | \(-0.759528\pi\) |
0.904195 | − | 0.427120i | \(-0.140472\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 13.8070i | − | 0.580865i | ||||||
\(566\) | 11.4042 | + | 15.6965i | 0.479353 | + | 0.659773i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.0327 | − | 5.62143i | 0.462921 | − | 0.235870i | ||||
\(569\) | 2.79788 | − | 3.85095i | 0.117293 | − | 0.161440i | −0.746333 | − | 0.665572i | \(-0.768188\pi\) |
0.863627 | + | 0.504132i | \(0.168188\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.0433 | + | 23.0433i | −0.964332 | + | 0.964332i | −0.999385 | − | 0.0350537i | \(-0.988840\pi\) |
0.0350537 | + | 0.999385i | \(0.488840\pi\) | |||||||
\(572\) | −29.0107 | − | 9.42616i | −1.21300 | − | 0.394127i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.06867 | − | 5.58012i | 0.0446056 | − | 0.232910i | ||||
\(575\) | 13.0848 | 0.545673 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.7064 | − | 15.7064i | 0.653868 | − | 0.653868i | −0.300054 | − | 0.953922i | \(-0.597005\pi\) |
0.953922 | + | 0.300054i | \(0.0970048\pi\) | |||||||
\(578\) | −25.8723 | − | 18.7974i | −1.07615 | − | 0.781867i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.78424 | − | 2.94722i | 0.240177 | − | 0.122377i | ||||
\(581\) | 9.63890 | + | 4.91126i | 0.399889 | + | 0.203754i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.27375i | 0.218416i | ||||||||
\(584\) | −8.37625 | + | 6.08570i | −0.346612 | + | 0.251828i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.69455 | + | 1.21870i | −0.317859 | + | 0.0503439i | ||||
\(587\) | −4.19204 | − | 8.22735i | −0.173024 | − | 0.339579i | 0.788167 | − | 0.615461i | \(-0.211030\pi\) |
−0.961192 | + | 0.275882i | \(0.911030\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.379449 | + | 2.39574i | 0.0156349 | + | 0.0987149i | ||||
\(590\) | −4.86994 | − | 14.9881i | −0.200492 | − | 0.617051i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.99558 | + | 9.21944i | −0.123117 | + | 0.378917i | ||||
\(593\) | −7.12391 | + | 13.9815i | −0.292544 | + | 0.574150i | −0.989765 | − | 0.142706i | \(-0.954420\pi\) |
0.697221 | + | 0.716856i | \(0.254420\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.50179 | + | 2.76240i | −0.348540 | + | 0.113247i | ||||
\(596\) | −4.26723 | + | 8.37492i | −0.174793 | + | 0.343050i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −23.5661 | − | 3.73250i | −0.963689 | − | 0.152633i | ||||
\(599\) | −1.28943 | − | 3.96845i | −0.0526846 | − | 0.162147i | 0.921252 | − | 0.388965i | \(-0.127167\pi\) |
−0.973937 | + | 0.226819i | \(0.927167\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.21228 | − | 6.21228i | −0.253404 | − | 0.253404i | 0.568960 | − | 0.822365i | \(-0.307346\pi\) |
−0.822365 | + | 0.568960i | \(0.807346\pi\) | |||||||
\(602\) | 5.03052 | + | 9.87295i | 0.205029 | + | 0.402392i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.535646 | + | 3.38194i | −0.0217951 | + | 0.137609i | ||||
\(605\) | −25.2096 | + | 18.3158i | −1.02491 | + | 0.744644i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.6189 | − | 17.3685i | −0.512187 | − | 0.704965i | 0.472099 | − | 0.881545i | \(-0.343496\pi\) |
−0.984286 | + | 0.176581i | \(0.943496\pi\) | |||||||
\(608\) | 3.10217 | + | 1.58063i | 0.125810 | + | 0.0641032i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.3979 | + | 15.6879i | −0.461487 | + | 0.635183i | ||||
\(611\) | −7.44182 | − | 5.40680i | −0.301064 | − | 0.218736i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 25.7445 | + | 8.36490i | 1.03981 | + | 0.337855i | 0.778662 | − | 0.627443i | \(-0.215899\pi\) |
0.261149 | + | 0.965298i | \(0.415899\pi\) | |||||||
\(614\) | −5.26922 | −0.212649 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.06980 | 0.204268 | ||||||||
\(617\) | 30.6813 | + | 9.96895i | 1.23518 | + | 0.401335i | 0.852589 | − | 0.522582i | \(-0.175031\pi\) |
0.382593 | + | 0.923917i | \(0.375031\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.67000 | − | 2.66641i | −0.147510 | − | 0.107172i | 0.511583 | − | 0.859234i | \(-0.329059\pi\) |
−0.659092 | + | 0.752062i | \(0.729059\pi\) | |||||||
\(620\) | 0.589490 | − | 0.811363i | 0.0236745 | − | 0.0325851i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.0261 | + | 7.65618i | 0.602492 | + | 0.306985i | ||||
\(623\) | −0.492794 | − | 0.678273i | −0.0197434 | − | 0.0271744i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.44782 | − | 1.05190i | 0.0579126 | − | 0.0420760i | ||||
\(626\) | 1.15232 | − | 7.27549i | 0.0460561 | − | 0.290787i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.32415 | + | 4.56140i | 0.0927437 | + | 0.182020i | ||||
\(629\) | −47.9725 | − | 47.9725i | −1.91279 | − | 1.91279i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.5536 | + | 32.4805i | 0.420131 | + | 1.29303i | 0.907580 | + | 0.419879i | \(0.137927\pi\) |
−0.487449 | + | 0.873151i | \(0.662073\pi\) | |||||||
\(632\) | −11.7192 | − | 1.85614i | −0.466165 | − | 0.0738332i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.525788 | + | 1.03192i | −0.0208817 | + | 0.0409826i | ||||
\(635\) | −16.4483 | + | 5.34437i | −0.652730 | + | 0.212085i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.0578 | − | 29.5526i | 0.596611 | − | 1.17091i | ||||
\(638\) | 7.96240 | − | 24.5057i | 0.315234 | − | 0.970191i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.444840 | − | 1.36908i | −0.0175839 | − | 0.0541175i | ||||
\(641\) | 1.01860 | + | 6.43116i | 0.0402321 | + | 0.254016i | 0.999604 | − | 0.0281279i | \(-0.00895456\pi\) |
−0.959372 | + | 0.282144i | \(0.908955\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.9635 | − | 43.1057i | −0.866155 | − | 1.69992i | −0.700392 | − | 0.713758i | \(-0.746991\pi\) |
−0.165762 | − | 0.986166i | \(-0.553009\pi\) | |||||||
\(644\) | 3.91676 | − | 0.620353i | 0.154342 | − | 0.0244453i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −19.7129 | + | 14.3223i | −0.775596 | + | 0.563503i | ||||
\(647\) | 23.3541i | 0.918145i | 0.888399 | + | 0.459073i | \(0.151818\pi\) | ||||
−0.888399 | + | 0.459073i | \(0.848182\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −55.7337 | − | 28.3977i | −2.18774 | − | 1.11471i | ||||
\(650\) | 13.9267 | − | 7.09601i | 0.546250 | − | 0.278328i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.313893 | − | 0.228056i | −0.0122930 | − | 0.00893138i | ||||
\(653\) | 20.6352 | − | 20.6352i | 0.807517 | − | 0.807517i | −0.176740 | − | 0.984258i | \(-0.556555\pi\) |
0.984258 | + | 0.176740i | \(0.0565552\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.29077 | −0.245801 | ||||||||
\(656\) | −3.92820 | + | 5.05660i | −0.153370 | + | 0.197427i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.45401 | + | 0.472436i | 0.0566831 | + | 0.0184175i | ||||
\(659\) | 5.14680 | − | 5.14680i | 0.200491 | − | 0.200491i | −0.599720 | − | 0.800210i | \(-0.704721\pi\) |
0.800210 | + | 0.599720i | \(0.204721\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.7194 | − | 34.0234i | 0.961475 | − | 1.32336i | 0.0152376 | − | 0.999884i | \(-0.495150\pi\) |
0.946237 | − | 0.323473i | \(-0.104850\pi\) | |||||||
\(662\) | 17.9784 | − | 9.16043i | 0.698748 | − | 0.356030i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.16625 | − | 9.86349i | −0.278104 | − | 0.382778i | ||||
\(665\) | 4.44713i | 0.172452i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.15289 | − | 19.9066i | 0.122081 | − | 0.770786i | ||||
\(668\) | 8.38988 | − | 1.32883i | 0.324614 | − | 0.0514139i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −14.3755 | − | 14.3755i | −0.555374 | − | 0.555374i | ||||
\(671\) | 12.0402 | + | 76.0190i | 0.464807 | + | 2.93468i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.3697 | − | 1.95917i | −0.476817 | − | 0.0755205i | −0.0866000 | − | 0.996243i | \(-0.527600\pi\) |
−0.390218 | + | 0.920723i | \(0.627600\pi\) | |||||||
\(674\) | 3.39414 | − | 10.4461i | 0.130738 | − | 0.402369i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.7429 | + | 4.79025i | −0.567034 | + | 0.184241i | ||||
\(677\) | −11.7194 | + | 3.80786i | −0.450413 | + | 0.146348i | −0.525435 | − | 0.850834i | \(-0.676097\pi\) |
0.0750221 | + | 0.997182i | \(0.476097\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0802713 | + | 0.247050i | −0.00308053 | + | 0.00948090i | ||||
\(680\) | 9.95064 | + | 1.57603i | 0.381590 | + | 0.0604378i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.622710 | − | 3.93164i | −0.0238448 | − | 0.150550i | ||||
\(683\) | 24.9321 | + | 24.9321i | 0.954000 | + | 0.954000i | 0.998988 | − | 0.0449875i | \(-0.0143248\pi\) |
−0.0449875 | + | 0.998988i | \(0.514325\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.0360 | + | 3.17339i | −0.765537 | + | 0.121249i | ||||
\(686\) | −1.83399 | + | 11.5794i | −0.0700220 | + | 0.442102i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 12.4880i | − | 0.476101i | ||||||
\(689\) | 2.89638 | + | 3.98652i | 0.110343 | + | 0.151874i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.318112 | − | 0.162086i | 0.0121015 | − | 0.00616605i | −0.447929 | − | 0.894069i | \(-0.647838\pi\) |
0.460031 | + | 0.887903i | \(0.347838\pi\) | |||||||
\(692\) | 13.0741 | − | 17.9950i | 0.497004 | − | 0.684067i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.6141 | + | 24.6141i | −0.934338 | + | 0.934338i | ||||
\(695\) | −7.44082 | − | 2.41767i | −0.282246 | − | 0.0917074i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.0508 | − | 40.5616i | −0.721601 | − | 1.53638i | ||||
\(698\) | 3.33762 | 0.126331 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.83692 | + | 1.83692i | −0.0694292 | + | 0.0694292i | ||||
\(701\) | 23.2081 | + | 16.8617i | 0.876557 | + | 0.636856i | 0.932338 | − | 0.361587i | \(-0.117765\pi\) |
−0.0557812 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −30.0721 | + | 15.3225i | −1.13419 | + | 0.577899i | ||||
\(704\) | −5.09095 | − | 2.59397i | −0.191872 | − | 0.0977638i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 11.1139i | − | 0.418276i | ||||||
\(707\) | 1.97201 | − | 1.43275i | 0.0741652 | − | 0.0538842i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 31.5253 | − | 4.99312i | 1.18396 | − | 0.187521i | 0.466756 | − | 0.884386i | \(-0.345423\pi\) |
0.717202 | + | 0.696865i | \(0.245423\pi\) | |||||||
\(710\) | −8.09223 | − | 15.8819i | −0.303696 | − | 0.596037i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.147811 | + | 0.933241i | 0.00553944 | + | 0.0349747i | ||||
\(713\) | −0.962169 | − | 2.96125i | −0.0360335 | − | 0.110900i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.5693 | + | 41.7619i | −0.507462 | + | 1.56181i | ||||
\(716\) | −4.90854 | + | 9.63355i | −0.183441 | + | 0.360023i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 11.5227 | − | 3.74395i | 0.430023 | − | 0.139723i | ||||
\(719\) | 19.4885 | − | 38.2483i | 0.726797 | − | 1.42642i | −0.170665 | − | 0.985329i | \(-0.554592\pi\) |
0.897462 | − | 0.441091i | \(-0.145408\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.48945 | + | 0.711060i | 0.167196 | + | 0.0264812i | ||||
\(722\) | −2.12546 | − | 6.54150i | −0.0791015 | − | 0.243449i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.7839 | − | 11.7839i | −0.437944 | − | 0.437944i | ||||
\(725\) | 5.99409 | + | 11.7641i | 0.222615 | + | 0.436907i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.01036 | − | 12.6929i | 0.0745601 | − | 0.470754i | −0.921952 | − | 0.387304i | \(-0.873406\pi\) |
0.996512 | − | 0.0834495i | \(-0.0265937\pi\) | |||||||
\(728\) | 3.83235 | − | 2.78437i | 0.142036 | − | 0.103195i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.76057 | + | 12.0579i | 0.324243 | + | 0.446282i | ||||
\(731\) | 77.8723 | + | 39.6779i | 2.88021 | + | 1.46754i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 11.5177 | − | 15.8527i | 0.425416 | − | 0.585534i | −0.541478 | − | 0.840715i | \(-0.682135\pi\) |
0.966893 | + | 0.255181i | \(0.0821350\pi\) | |||||||
\(734\) | −14.5192 | − | 10.5488i | −0.535912 | − | 0.389363i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.25050 | − | 1.38107i | −0.156675 | − | 0.0509069i | ||||
\(737\) | −80.6926 | −2.97235 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.5990 | −0.757746 | −0.378873 | − | 0.925449i | \(-0.623688\pi\) | ||||
−0.378873 | + | 0.925449i | \(0.623688\pi\) | |||||||
\(740\) | 13.2717 | + | 4.31223i | 0.487877 | + | 0.158521i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.662571 | − | 0.481386i | −0.0243238 | − | 0.0176722i | ||||
\(743\) | −10.5820 | + | 14.5649i | −0.388216 | + | 0.534334i | −0.957738 | − | 0.287643i | \(-0.907128\pi\) |
0.569522 | + | 0.821976i | \(0.307128\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.0560 | + | 6.14283i | 0.441697 | + | 0.225056i | ||||
\(746\) | −2.01667 | − | 2.77571i | −0.0738356 | − | 0.101626i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 32.3508 | − | 23.5042i | 1.18286 | − | 0.859399i | ||||
\(749\) | −0.399494 | + | 2.52230i | −0.0145972 | + | 0.0921630i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.5819 | − | 32.5438i | −0.605082 | − | 1.18754i | −0.966868 | − | 0.255279i | \(-0.917833\pi\) |
0.361786 | − | 0.932261i | \(-0.382167\pi\) | |||||||
\(752\) | −1.21835 | − | 1.21835i | −0.0444287 | − | 0.0444287i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.43979 | − | 22.8973i | −0.270941 | − | 0.833871i | ||||
\(755\) | 4.86841 | + | 0.771081i | 0.177180 | + | 0.0280625i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.1130 | + | 45.3618i | −0.840057 | + | 1.64870i | −0.0818913 | + | 0.996641i | \(0.526096\pi\) |
−0.758165 | + | 0.652062i | \(0.773904\pi\) | |||||||
\(758\) | −31.5866 | + | 10.2631i | −1.14728 | + | 0.372773i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.27538 | − | 4.46568i | 0.0825366 | − | 0.161987i | ||||
\(761\) | 3.56039 | − | 10.9578i | 0.129064 | − | 0.397218i | −0.865556 | − | 0.500813i | \(-0.833034\pi\) |
0.994620 | + | 0.103595i | \(0.0330345\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.16518 | − | 9.74141i | −0.114587 | − | 0.352663i | ||||
\(764\) | 1.82296 | + | 11.5097i | 0.0659523 | + | 0.416406i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.77973 | − | 5.45552i | −0.100436 | − | 0.197116i | ||||
\(767\) | −57.7263 | + | 9.14295i | −2.08438 | + | 0.330133i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.8722 | − | 12.2584i | 0.608428 | − | 0.442049i | −0.240433 | − | 0.970666i | \(-0.577289\pi\) |
0.848860 | + | 0.528617i | \(0.177289\pi\) | |||||||
\(770\) | − | 7.29815i | − | 0.263007i | ||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.73646 | + | 1.39429i | 0.0984872 | + | 0.0501817i | ||||
\(773\) | 5.75467 | − | 2.93215i | 0.206981 | − | 0.105462i | −0.347427 | − | 0.937707i | \(-0.612945\pi\) |
0.554408 | + | 0.832245i | \(0.312945\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.65016 | + | 1.19891i | 0.0592756 | + | 0.0430662i | ||||
\(776\) | 0.207009 | − | 0.207009i | 0.00743120 | − | 0.00743120i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −31.4610 | −1.12793 | ||||||||
\(779\) | −22.1197 | + | 2.77801i | −0.792519 | + | 0.0995325i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −67.2859 | − | 21.8625i | −2.40768 | − | 0.782302i | ||||
\(782\) | 22.1171 | − | 22.1171i | 0.790905 | − | 0.790905i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.65173 | − | 5.02617i | 0.130419 | − | 0.179506i | ||||
\(785\) | 6.56629 | − | 3.34569i | 0.234361 | − | 0.119413i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.5225 | + | 15.8594i | 0.410734 | + | 0.565327i | 0.963397 | − | 0.268078i | \(-0.0863884\pi\) |
−0.552663 | + | 0.833405i | \(0.686388\pi\) | |||||||
\(788\) | − | 5.31323i | − | 0.189276i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.67197 | + | 16.8702i | −0.0950645 | + | 0.600214i | ||||
\(791\) | 8.40564 | − | 1.33132i | 0.298870 | − | 0.0473364i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 50.8515 | + | 50.8515i | 1.80579 | + | 1.80579i | ||||
\(794\) | 5.14768 | + | 32.5012i | 0.182684 | + | 1.15342i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.39748 | − | 0.696492i | −0.155864 | − | 0.0246865i | ||||
\(797\) | 3.43343 | − | 10.5670i | 0.121618 | − | 0.374303i | −0.871652 | − | 0.490126i | \(-0.836951\pi\) |
0.993270 | + | 0.115824i | \(0.0369507\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.4684 | − | 3.72631i | 0.405723 | − | 0.131827i | ||||
\(800\) | 2.78445 | − | 0.904723i | 0.0984452 | − | 0.0319868i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.456400 | + | 1.40465i | −0.0161160 | + | 0.0496001i | ||||
\(803\) | 58.4292 | + | 9.25427i | 2.06192 | + | 0.326576i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.893019 | − | 5.63830i | −0.0314748 | − | 0.198724i | ||||
\(806\) | −2.63000 | − | 2.63000i | −0.0926377 | − | 0.0926377i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.71331 | + | 0.429746i | −0.0954538 | + | 0.0151184i | ||||
\(809\) | −6.70564 | + | 42.3377i | −0.235758 | + | 1.48851i | 0.531436 | + | 0.847099i | \(0.321653\pi\) |
−0.767193 | + | 0.641416i | \(0.778347\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.7480i | 0.447643i | 0.974630 | + | 0.223822i | \(0.0718533\pi\) | ||||
−0.974630 | + | 0.223822i | \(0.928147\pi\) | |||||||
\(812\) | 2.35199 | + | 3.23724i | 0.0825387 | + | 0.113605i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 49.3511 | − | 25.1456i | 1.72975 | − | 0.881354i | ||||
\(815\) | −0.328295 | + | 0.451859i | −0.0114997 | + | 0.0158279i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 30.7442 | − | 30.7442i | 1.07560 | − | 1.07560i | ||||
\(818\) | −3.69811 | − | 1.20159i | −0.129301 | − | 0.0420125i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.27915 | + | 5.65478i | 0.254199 | + | 0.197473i | ||||
\(821\) | −4.49594 | −0.156909 | −0.0784547 | − | 0.996918i | \(-0.524999\pi\) | ||||
−0.0784547 | + | 0.996918i | \(0.524999\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 29.3864 | − | 29.3864i | 1.02435 | − | 1.02435i | 0.0246494 | − | 0.999696i | \(-0.492153\pi\) |
0.999696 | − | 0.0246494i | \(-0.00784694\pi\) | |||||||
\(824\) | −4.14436 | − | 3.01106i | −0.144376 | − | 0.104895i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.65513 | − | 4.41001i | 0.301150 | − | 0.153444i | ||||
\(827\) | 4.19255 | + | 2.13621i | 0.145789 | + | 0.0742833i | 0.525363 | − | 0.850878i | \(-0.323929\pi\) |
−0.379574 | + | 0.925161i | \(0.623929\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.2233i | 0.493994i | 0.969016 | + | 0.246997i | \(0.0794439\pi\) | ||||
−0.969016 | + | 0.246997i | \(0.920556\pi\) | |||||||
\(830\) | −14.1988 | + | 10.3161i | −0.492849 | + | 0.358075i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.27296 | + | 0.835155i | −0.182807 | + | 0.0289538i | ||||
\(833\) | 19.7395 | + | 38.7409i | 0.683932 | + | 1.34229i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.91289 | − | 12.0775i | −0.0661983 | − | 0.417960i | ||||
\(836\) | −6.14731 | − | 18.9195i | −0.212609 | − | 0.654343i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.59910 | − | 14.1546i | 0.158873 | − | 0.488961i | ||||
\(839\) | 5.17891 | − | 10.1642i | 0.178796 | − | 0.350907i | −0.784163 | − | 0.620555i | \(-0.786907\pi\) |
0.962959 | + | 0.269648i | \(0.0869074\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.23899 | + | 2.67701i | −0.284103 | + | 0.0923107i | ||||
\(842\) | 5.16817 | − | 10.1431i | 0.178107 | − | 0.349555i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.13026 | − | 0.654169i | −0.142169 | − | 0.0225174i | ||||
\(845\) | 6.89573 | + | 21.2229i | 0.237220 | + | 0.730089i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −13.5814 | − | 13.5814i | −0.466662 | − | 0.466662i | ||||
\(848\) | 0.419033 | + | 0.822399i | 0.0143897 | + | 0.0282413i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.20534 | + | 20.2377i | −0.109942 | + | 0.694149i | ||||
\(851\) | 35.0501 | − | 25.4654i | 1.20150 | − | 0.872942i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.49985 | + | 8.94627i | 0.222551 | + | 0.306315i | 0.905663 | − | 0.423999i | \(-0.139374\pi\) |
−0.683112 | + | 0.730314i | \(0.739374\pi\) | |||||||
\(854\) | −10.6497 | − | 5.42630i | −0.364426 | − | 0.185684i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.69170 | − | 2.32842i | 0.0578211 | − | 0.0795839i | ||||
\(857\) | 39.7812 | + | 28.9027i | 1.35890 | + | 0.987298i | 0.998514 | + | 0.0544938i | \(0.0173545\pi\) |
0.360385 | + | 0.932804i | \(0.382645\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.92453 | − | 2.57484i | −0.270382 | − | 0.0878523i | 0.170688 | − | 0.985325i | \(-0.445401\pi\) |
−0.441070 | + | 0.897473i | \(0.645401\pi\) | |||||||
\(860\) | −17.9769 | −0.613007 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 38.1206 | 1.29839 | ||||||||
\(863\) | −28.6259 | − | 9.30111i | −0.974436 | − | 0.316613i | −0.221831 | − | 0.975085i | \(-0.571203\pi\) |
−0.752605 | + | 0.658472i | \(0.771203\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −25.9044 | − | 18.8206i | −0.880776 | − | 0.639921i | ||||
\(866\) | −0.686866 | + | 0.945390i | −0.0233407 | + | 0.0321257i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.550795 | + | 0.280644i | 0.0186952 | + | 0.00952568i | ||||
\(869\) | 39.8487 | + | 54.8470i | 1.35177 | + | 1.86056i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −60.9970 | + | 44.3169i | −2.06680 | + | 1.50162i | ||||
\(872\) | −1.80582 | + | 11.4015i | −0.0611528 | + | 0.386104i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −7.06423 | − | 13.8643i | −0.238951 | − | 0.468968i | ||||
\(875\) | 7.16027 | + | 7.16027i | 0.242061 | + | 0.242061i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.339590 | + | 1.04515i | 0.0114671 | + | 0.0352922i | 0.956626 | − | 0.291318i | \(-0.0940937\pi\) |
−0.945159 | + | 0.326610i | \(0.894094\pi\) | |||||||
\(878\) | −33.0879 | − | 5.24060i | −1.11666 | − | 0.176862i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.73410 | + | 7.32859i | −0.125877 | + | 0.247047i | ||||
\(881\) | 29.8271 | − | 9.69141i | 1.00490 | − | 0.326512i | 0.240078 | − | 0.970754i | \(-0.422827\pi\) |
0.764822 | + | 0.644242i | \(0.222827\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.56215 | + | 16.8042i | −0.288139 | + | 0.565505i | −0.989021 | − | 0.147772i | \(-0.952790\pi\) |
0.700882 | + | 0.713277i | \(0.252790\pi\) | |||||||
\(884\) | 11.5459 | − | 35.5345i | 0.388329 | − | 1.19515i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.38659 | + | 19.6559i | 0.214562 | + | 0.660353i | ||||
\(887\) | −6.06019 | − | 38.2625i | −0.203481 | − | 1.28473i | −0.852004 | − | 0.523535i | \(-0.824613\pi\) |
0.648523 | − | 0.761195i | \(-0.275387\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.83963 | − | 9.49831i | −0.162316 | − | 0.318563i | ||||
\(890\) | 1.34343 | − | 0.212779i | 0.0450319 | − | 0.00713235i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.22421 | − | 5.97524i | 0.275367 | − | 0.200066i | ||||
\(893\) | − | 5.99890i | − | 0.200746i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.8678 | + | 7.06600i | 0.463550 | + | 0.236190i | ||||
\(896\) | 0.790595 | − | 0.402828i | 0.0264119 | − | 0.0134575i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 15.9205 | + | 11.5669i | 0.531274 | + | 0.385993i | ||||
\(899\) | 2.22159 | − | 2.22159i | 0.0740943 | − | 0.0740943i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.45968 | −0.215203 | ||||||||
\(902\) | 36.3004 | − | 4.55897i | 1.20867 | − | 0.151797i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.12187 | − | 2.96388i | −0.303389 | − | 0.0985770i | ||||
\(905\) | −16.9633 | + | 16.9633i | −0.563878 | + | 0.563878i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.0659 | + | 13.8545i | −0.334233 | + | 0.460032i | −0.942746 | − | 0.333512i | \(-0.891766\pi\) |
0.608513 | + | 0.793544i | \(0.291766\pi\) | |||||||
\(908\) | 3.09741 | − | 1.57821i | 0.102791 | − | 0.0523747i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.00819 | − | 5.51680i | −0.132870 | − | 0.182880i | ||||
\(911\) | − | 38.3984i | − | 1.27220i | −0.771609 | − | 0.636098i | \(-0.780548\pi\) | ||
0.771609 | − | 0.636098i | \(-0.219452\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.8974 | + | 68.8036i | −0.360652 | + | 2.27707i | ||||
\(914\) | −9.52232 | + | 1.50819i | −0.314970 | + | 0.0498864i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.8612 | − | 15.8612i | −0.524069 | − | 0.524069i | ||||
\(917\) | −0.606580 | − | 3.82979i | −0.0200310 | − | 0.126471i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −37.3447 | − | 5.91481i | −1.23189 | − | 0.195112i | −0.493654 | − | 0.869658i | \(-0.664339\pi\) |
−0.738232 | + | 0.674547i | \(0.764339\pi\) | |||||||
\(920\) | −1.98810 | + | 6.11873i | −0.0655456 | + | 0.201729i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 25.5491 | − | 8.30142i | 0.841416 | − | 0.273393i | ||||
\(923\) | −62.8696 | + | 20.4276i | −2.06938 | + | 0.672382i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.77028 | + | 26.9922i | −0.288365 | + | 0.887496i | ||||
\(926\) | 18.6786 | + | 2.95841i | 0.613819 | + | 0.0972193i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.705466 | − | 4.45414i | −0.0231581 | − | 0.146214i | ||||
\(929\) | −23.6519 | − | 23.6519i | −0.775993 | − | 0.775993i | 0.203154 | − | 0.979147i | \(-0.434881\pi\) |
−0.979147 | + | 0.203154i | \(0.934881\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 21.3641 | − | 3.38374i | 0.700179 | − | 0.110898i | ||||
\(932\) | 2.05857 | − | 12.9973i | 0.0674309 | − | 0.425742i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.72218i | 0.187235i | ||||||||
\(935\) | −33.8351 | − | 46.5700i | −1.10653 | − | 1.52300i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 38.6876 | − | 19.7123i | 1.26387 | − | 0.643974i | 0.311886 | − | 0.950120i | \(-0.399039\pi\) |
0.951985 | + | 0.306146i | \(0.0990394\pi\) | |||||||
\(938\) | 7.36560 | − | 10.1379i | 0.240495 | − | 0.331013i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.75386 | + | 1.75386i | −0.0572045 | + | 0.0572045i | ||||
\(941\) | 3.62097 | + | 1.17652i | 0.118040 | + | 0.0383536i | 0.367442 | − | 0.930047i | \(-0.380234\pi\) |
−0.249401 | + | 0.968400i | \(0.580234\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 27.4866 | − | 7.96391i | 0.895087 | − | 0.259340i | ||||
\(944\) | −10.9476 | −0.356314 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −50.4540 | + | 50.4540i | −1.64040 | + | 1.64040i | ||||
\(947\) | 46.0059 | + | 33.4252i | 1.49499 | + | 1.08617i | 0.972324 | + | 0.233636i | \(0.0750624\pi\) |
0.522666 | + | 0.852538i | \(0.324938\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 49.2501 | − | 25.0942i | 1.59873 | − | 0.814592i | ||||
\(950\) | 9.08236 | + | 4.62769i | 0.294671 | + | 0.150142i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.20987i | 0.201263i | ||||||||
\(953\) | 32.6273 | − | 23.7051i | 1.05690 | − | 0.767884i | 0.0833885 | − | 0.996517i | \(-0.473426\pi\) |
0.973513 | + | 0.228634i | \(0.0734258\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.5686 | − | 2.62421i | 0.536147 | − | 0.0849173i | ||||
\(956\) | 2.62362 | + | 5.14915i | 0.0848541 | + | 0.166535i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.20540 | + | 13.9243i | 0.0712532 | + | 0.449875i | ||||
\(959\) | −3.86389 | − | 11.8918i | −0.124772 | − | 0.384008i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.42954 | + | 29.0211i | −0.304179 | + | 0.936166i | ||||
\(962\) | 23.4952 | − | 46.1120i | 0.757516 | − | 1.48671i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.36343 | − | 2.39252i | 0.237160 | − | 0.0770580i | ||||
\(965\) | 2.00713 | − | 3.93922i | 0.0646119 | − | 0.126808i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.28018 | − | 0.836298i | −0.169799 | − | 0.0268935i | 0.0709560 | − | 0.997479i | \(-0.477395\pi\) |
−0.240755 | + | 0.970586i | \(0.577395\pi\) | |||||||
\(968\) | 6.68911 | + | 20.5870i | 0.214996 | + | 0.661690i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.297997 | − | 0.297997i | −0.00956810 | − | 0.00956810i | ||||
\(971\) | −27.0680 | − | 53.1240i | −0.868654 | − | 1.70483i | −0.693715 | − | 0.720250i | \(-0.744027\pi\) |
−0.174939 | − | 0.984579i | \(-0.555973\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.754394 | − | 4.76306i | 0.0241848 | − | 0.152697i | ||||
\(974\) | −0.0889178 | + | 0.0646026i | −0.00284911 | + | 0.00207000i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.91777 | + | 10.8979i | 0.253442 | + | 0.348832i | ||||
\(977\) | −5.55375 | − | 2.82977i | −0.177680 | − | 0.0905325i | 0.362888 | − | 0.931833i | \(-0.381791\pi\) |
−0.540568 | + | 0.841300i | \(0.681791\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.17329 | − | 4.36766i | 0.101419 | − | 0.139591i | ||||
\(980\) | −7.23534 | − | 5.25678i | −0.231124 | − | 0.167922i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.225282 | − | 0.0731985i | −0.00718903 | − | 0.00233586i | ||||
\(983\) | −24.2574 | −0.773689 | −0.386845 | − | 0.922145i | \(-0.626435\pi\) | ||||
−0.386845 | + | 0.922145i | \(0.626435\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.64857 | −0.243704 | ||||||||
\(986\) | 30.0164 | + | 9.75293i | 0.955918 | + | 0.310597i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.0375 | − | 10.9254i | −0.478408 | − | 0.347584i | ||||
\(989\) | −32.8054 | + | 45.1527i | −1.04315 | + | 1.43577i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 43.2334 | + | 22.0285i | 1.37335 | + | 0.699759i | 0.975972 | − | 0.217895i | \(-0.0699190\pi\) |
0.397382 | + | 0.917653i | \(0.369919\pi\) | |||||||
\(992\) | −0.409501 | − | 0.563629i | −0.0130017 | − | 0.0178952i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 8.88855 | − | 6.45791i | 0.281928 | − | 0.204832i | ||||
\(995\) | −1.00262 | + | 6.33031i | −0.0317853 | + | 0.200684i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.9018 | + | 27.2838i | 0.440274 | + | 0.864086i | 0.999387 | + | 0.0349949i | \(0.0111415\pi\) |
−0.559114 | + | 0.829091i | \(0.688858\pi\) | |||||||
\(998\) | −16.2393 | − | 16.2393i | −0.514047 | − | 0.514047i | ||||
\(999\) | 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 | 738.2.u.c.307.3 | ✓ | 24 | |
3.2 | odd | 2 | 738.2.u.d.307.1 | yes | 24 | ||
41.39 | even | 20 | inner | 738.2.u.c.613.3 | yes | 24 | |
123.80 | odd | 20 | 738.2.u.d.613.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
738.2.u.c.307.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
738.2.u.c.613.3 | yes | 24 | 41.39 | even | 20 | inner | |
738.2.u.d.307.1 | yes | 24 | 3.2 | odd | 2 | ||
738.2.u.d.613.1 | yes | 24 | 123.80 | odd | 20 |