Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 368.4 | ||
Character | \(\chi\) | \(=\) | 405.368 |
Dual form | 405.2.r.a.197.4 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85978 | − | 0.162710i | −1.31506 | − | 0.115053i | −0.592058 | − | 0.805896i | \(-0.701684\pi\) |
−0.723005 | + | 0.690842i | \(0.757240\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.46269 | + | 0.257912i | 0.731346 | + | 0.128956i | ||||
\(5\) | 2.23266 | + | 0.123434i | 0.998475 | + | 0.0552015i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.56418 | − | 1.79546i | −0.969168 | − | 0.678619i | −0.0221350 | − | 0.999755i | \(-0.507046\pi\) |
−0.947033 | + | 0.321136i | \(0.895935\pi\) | |||||||
\(8\) | 0.928224 | + | 0.248717i | 0.328177 | + | 0.0879347i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.13217 | − | 0.592836i | −1.30671 | − | 0.187471i | ||||
\(11\) | 1.21790 | − | 3.34616i | 0.367211 | − | 1.00890i | −0.609206 | − | 0.793012i | \(-0.708512\pi\) |
0.976417 | − | 0.215892i | \(-0.0692660\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.165875 | + | 1.89596i | 0.0460055 | + | 0.525845i | 0.983875 | + | 0.178857i | \(0.0572399\pi\) |
−0.937870 | + | 0.346988i | \(0.887205\pi\) | |||||||
\(14\) | 4.47667 | + | 3.75637i | 1.19644 | + | 1.00393i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.47719 | − | 1.62956i | −1.11930 | − | 0.407391i | ||||
\(17\) | −3.30982 | + | 0.886863i | −0.802749 | + | 0.215096i | −0.636791 | − | 0.771037i | \(-0.719738\pi\) |
−0.165958 | + | 0.986133i | \(0.553072\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.00990 | − | 2.89247i | 1.14935 | − | 0.663578i | 0.200622 | − | 0.979669i | \(-0.435704\pi\) |
0.948729 | + | 0.316091i | \(0.102371\pi\) | |||||||
\(20\) | 3.23385 | + | 0.756375i | 0.723112 | + | 0.169131i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.80948 | + | 6.02495i | −0.598983 | + | 1.28452i | ||||
\(23\) | −0.749079 | − | 1.06979i | −0.156194 | − | 0.223068i | 0.733427 | − | 0.679769i | \(-0.237920\pi\) |
−0.889620 | + | 0.456701i | \(0.849031\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.96953 | + | 0.551173i | 0.993906 | + | 0.110235i | ||||
\(26\) | − | 3.55306i | − | 0.696812i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.28753 | − | 3.28753i | −0.621285 | − | 0.621285i | ||||
\(29\) | −0.0144398 | + | 0.0121164i | −0.00268140 | + | 0.00224996i | −0.644127 | − | 0.764918i | \(-0.722779\pi\) |
0.641446 | + | 0.767168i | \(0.278335\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.260357 | − | 1.47656i | 0.0467616 | − | 0.265198i | −0.952459 | − | 0.304666i | \(-0.901455\pi\) |
0.999221 | + | 0.0394679i | \(0.0125663\pi\) | |||||||
\(32\) | 6.31958 | + | 2.94687i | 1.11715 | + | 0.520938i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.29984 | − | 1.11083i | 1.08041 | − | 0.190506i | ||||
\(35\) | −5.50331 | − | 4.32515i | −0.930230 | − | 0.731084i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.61962 | − | 9.77656i | −0.430663 | − | 1.60726i | −0.751237 | − | 0.660033i | \(-0.770542\pi\) |
0.320574 | − | 0.947224i | \(-0.396124\pi\) | |||||||
\(38\) | −9.78795 | + | 4.56420i | −1.58781 | + | 0.740410i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.04171 | + | 0.669874i | 0.322822 | + | 0.105916i | ||||
\(41\) | 6.39065 | − | 7.61608i | 0.998051 | − | 1.18943i | 0.0161828 | − | 0.999869i | \(-0.494849\pi\) |
0.981869 | − | 0.189562i | \(-0.0607069\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.23518 | − | 6.93786i | −0.493360 | − | 1.05801i | −0.982578 | − | 0.185852i | \(-0.940495\pi\) |
0.489218 | − | 0.872162i | \(-0.337282\pi\) | |||||||
\(44\) | 2.64443 | − | 4.58028i | 0.398662 | − | 0.690503i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.21906 | + | 2.11147i | 0.179740 | + | 0.311319i | ||||
\(47\) | 6.31914 | − | 9.02466i | 0.921741 | − | 1.31638i | −0.0267711 | − | 0.999642i | \(-0.508523\pi\) |
0.948512 | − | 0.316741i | \(-0.102589\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.957202 | + | 2.62989i | 0.136743 | + | 0.375699i | ||||
\(50\) | −9.15255 | − | 1.83365i | −1.29437 | − | 0.259317i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.246367 | + | 2.81599i | −0.0341649 | + | 0.390507i | ||||
\(53\) | −3.54041 | + | 3.54041i | −0.486312 | + | 0.486312i | −0.907140 | − | 0.420828i | \(-0.861740\pi\) |
0.420828 | + | 0.907140i | \(0.361740\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.13219 | − | 7.32049i | 0.422344 | − | 0.987095i | ||||
\(56\) | −1.93357 | − | 2.30434i | −0.258384 | − | 0.307930i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0288263 | − | 0.0201844i | 0.00378507 | − | 0.00265034i | ||||
\(59\) | 5.27046 | − | 1.91829i | 0.686155 | − | 0.249740i | 0.0246670 | − | 0.999696i | \(-0.492147\pi\) |
0.661488 | + | 0.749956i | \(0.269925\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.47697 | + | 8.37633i | 0.189107 | + | 1.07248i | 0.920564 | + | 0.390591i | \(0.127729\pi\) |
−0.731457 | + | 0.681887i | \(0.761159\pi\) | |||||||
\(62\) | −0.724458 | + | 2.70371i | −0.0920063 | + | 0.343372i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.02114 | − | 1.74425i | −0.377642 | − | 0.218032i | ||||
\(65\) | 0.136316 | + | 4.25351i | 0.0169079 | + | 0.527583i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.222695 | − | 0.0194833i | 0.0272065 | − | 0.00238026i | −0.0735444 | − | 0.997292i | \(-0.523431\pi\) |
0.100751 | + | 0.994912i | \(0.467876\pi\) | |||||||
\(68\) | −5.06998 | + | 0.443565i | −0.614825 | + | 0.0537902i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.53121 | + | 8.93927i | 1.13920 | + | 1.06845i | ||||
\(71\) | 0.428964 | + | 0.247662i | 0.0509086 | + | 0.0293921i | 0.525238 | − | 0.850955i | \(-0.323976\pi\) |
−0.474330 | + | 0.880347i | \(0.657310\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.07694 | + | 7.75123i | −0.243087 | + | 0.907213i | 0.731248 | + | 0.682111i | \(0.238938\pi\) |
−0.974335 | + | 0.225102i | \(0.927729\pi\) | |||||||
\(74\) | 3.28118 | + | 18.6085i | 0.381429 | + | 2.16319i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.07394 | − | 2.93867i | 0.926145 | − | 0.337089i | ||||
\(77\) | −9.13079 | + | 6.39345i | −1.04055 | + | 0.728601i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.13950 | + | 1.35801i | 0.128204 | + | 0.152788i | 0.826328 | − | 0.563190i | \(-0.190426\pi\) |
−0.698124 | + | 0.715977i | \(0.745981\pi\) | |||||||
\(80\) | −9.79489 | − | 4.19090i | −1.09510 | − | 0.468557i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −13.1244 | + | 13.1244i | −1.44935 | + | 1.44935i | ||||
\(83\) | −0.643650 | + | 7.35695i | −0.0706498 | + | 0.807531i | 0.875377 | + | 0.483441i | \(0.160613\pi\) |
−0.946027 | + | 0.324089i | \(0.894942\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.49916 | + | 1.57152i | −0.813399 | + | 0.170455i | ||||
\(86\) | 4.88786 | + | 13.4293i | 0.527072 | + | 1.44812i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.96273 | − | 2.80307i | 0.209228 | − | 0.298808i | ||||
\(89\) | −4.43260 | − | 7.67748i | −0.469854 | − | 0.813812i | 0.529552 | − | 0.848278i | \(-0.322360\pi\) |
−0.999406 | + | 0.0344662i | \(0.989027\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.97878 | − | 5.15940i | 0.312261 | − | 0.540852i | ||||
\(92\) | −0.819758 | − | 1.75798i | −0.0854656 | − | 0.183282i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −13.2206 | + | 15.7557i | −1.36360 | + | 1.62508i | ||||
\(95\) | 11.5424 | − | 5.83950i | 1.18423 | − | 0.599120i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.93643 | − | 3.23451i | 0.704288 | − | 0.328415i | −0.0372686 | − | 0.999305i | \(-0.511866\pi\) |
0.741556 | + | 0.670890i | \(0.234088\pi\) | |||||||
\(98\) | −1.35228 | − | 5.04676i | −0.136601 | − | 0.509800i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.12673 | + | 2.08790i | 0.712673 | + | 0.208790i | ||||
\(101\) | −16.6975 | + | 2.94423i | −1.66147 | + | 0.292961i | −0.923992 | − | 0.382413i | \(-0.875093\pi\) |
−0.737475 | + | 0.675374i | \(0.763982\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.99712 | + | 0.931271i | 0.196782 | + | 0.0917609i | 0.518511 | − | 0.855071i | \(-0.326486\pi\) |
−0.321730 | + | 0.946832i | \(0.604264\pi\) | |||||||
\(104\) | −0.317588 | + | 1.80113i | −0.0311421 | + | 0.176616i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.16044 | − | 6.00832i | 0.695483 | − | 0.583579i | ||||
\(107\) | 13.8021 | + | 13.8021i | 1.33430 | + | 1.33430i | 0.901477 | + | 0.432826i | \(0.142484\pi\) |
0.432826 | + | 0.901477i | \(0.357516\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.9196i | 1.42903i | 0.699618 | + | 0.714517i | \(0.253354\pi\) | ||||
−0.699618 | + | 0.714517i | \(0.746646\pi\) | |||||||
\(110\) | −7.01629 | + | 13.1049i | −0.668977 | + | 1.24950i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.55450 | + | 12.2171i | 0.808324 | + | 1.15441i | ||||
\(113\) | −2.98979 | + | 6.41164i | −0.281256 | + | 0.603156i | −0.995289 | − | 0.0969568i | \(-0.969089\pi\) |
0.714032 | + | 0.700113i | \(0.246867\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.54039 | − | 2.48095i | −0.143642 | − | 0.231350i | ||||
\(116\) | −0.0242459 | + | 0.0139984i | −0.00225118 | + | 0.00129972i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −10.1140 | + | 2.71004i | −0.931070 | + | 0.249480i | ||||
\(119\) | 10.0793 | + | 3.66856i | 0.923967 | + | 0.336296i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.28699 | − | 1.07991i | −0.116999 | − | 0.0981738i | ||||
\(122\) | −1.38393 | − | 15.8184i | −0.125296 | − | 1.43213i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.761645 | − | 2.09260i | 0.0683978 | − | 0.187921i | ||||
\(125\) | 11.0272 | + | 1.84399i | 0.986305 | + | 0.164932i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.38335 | − | 0.370667i | −0.122752 | − | 0.0328914i | 0.196920 | − | 0.980420i | \(-0.436906\pi\) |
−0.319672 | + | 0.947528i | \(0.603573\pi\) | |||||||
\(128\) | −6.08886 | − | 4.26347i | −0.538184 | − | 0.376841i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.438569 | − | 7.93277i | 0.0384651 | − | 0.695750i | ||||
\(131\) | 5.99175 | + | 1.05651i | 0.523502 | + | 0.0923075i | 0.429153 | − | 0.903232i | \(-0.358812\pi\) |
0.0943485 | + | 0.995539i | \(0.469923\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.0396 | − | 1.57826i | −1.56423 | − | 0.136852i | ||||
\(134\) | −0.417333 | −0.0360521 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.29283 | −0.282358 | ||||||||
\(137\) | 1.03468 | + | 0.0905225i | 0.0883984 | + | 0.00773386i | 0.131269 | − | 0.991347i | \(-0.458095\pi\) |
−0.0428707 | + | 0.999081i | \(0.513650\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −18.7473 | − | 3.30565i | −1.59012 | − | 0.280381i | −0.692590 | − | 0.721331i | \(-0.743531\pi\) |
−0.897532 | + | 0.440950i | \(0.854642\pi\) | |||||||
\(140\) | −6.93414 | − | 7.74573i | −0.586042 | − | 0.654633i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.757481 | − | 0.530394i | −0.0635664 | − | 0.0445097i | ||||
\(143\) | 6.54620 | + | 1.75405i | 0.547421 | + | 0.146681i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0337347 | + | 0.0252694i | −0.00280151 | + | 0.00209851i | ||||
\(146\) | 5.12385 | − | 14.0777i | 0.424052 | − | 1.16507i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.31021 | − | 14.9757i | −0.107698 | − | 1.23100i | ||||
\(149\) | −2.25551 | − | 1.89260i | −0.184779 | − | 0.155048i | 0.545706 | − | 0.837977i | \(-0.316261\pi\) |
−0.730485 | + | 0.682929i | \(0.760706\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.5766 | − | 6.03340i | −1.34899 | − | 0.490992i | −0.436356 | − | 0.899774i | \(-0.643731\pi\) |
−0.912632 | + | 0.408782i | \(0.865953\pi\) | |||||||
\(152\) | 5.36972 | − | 1.43881i | 0.435542 | − | 0.116703i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 18.0215 | − | 10.4047i | 1.45222 | − | 0.838438i | ||||
\(155\) | 0.763547 | − | 3.26452i | 0.0613296 | − | 0.262212i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.65003 | − | 7.82751i | 0.291304 | − | 0.624703i | −0.705130 | − | 0.709078i | \(-0.749111\pi\) |
0.996434 | + | 0.0843747i | \(0.0268893\pi\) | |||||||
\(158\) | −1.89826 | − | 2.71100i | −0.151018 | − | 0.215676i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 13.7457 | + | 7.35940i | 1.08669 | + | 0.581812i | ||||
\(161\) | 4.08808i | 0.322186i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.31819 | + | 7.31819i | 0.573205 | + | 0.573205i | 0.933023 | − | 0.359818i | \(-0.117161\pi\) |
−0.359818 | + | 0.933023i | \(0.617161\pi\) | |||||||
\(164\) | 11.3118 | − | 9.49174i | 0.883305 | − | 0.741181i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.39409 | − | 13.5776i | 0.185818 | − | 1.05382i | ||||
\(167\) | −6.39434 | − | 2.98173i | −0.494809 | − | 0.230733i | 0.159163 | − | 0.987252i | \(-0.449121\pi\) |
−0.653971 | + | 0.756519i | \(0.726898\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.23535 | − | 1.62844i | 0.710411 | − | 0.125265i | ||||
\(170\) | 14.2025 | − | 1.70249i | 1.08928 | − | 0.130575i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.94271 | − | 10.9823i | −0.224379 | − | 0.837396i | ||||
\(173\) | 3.36346 | − | 1.56841i | 0.255719 | − | 0.119244i | −0.290532 | − | 0.956865i | \(-0.593832\pi\) |
0.546251 | + | 0.837622i | \(0.316055\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.7531 | − | 10.3359i | −0.888454 | − | 0.781319i | ||||
\(176\) | −10.9056 | + | 12.9967i | −0.822037 | + | 0.979666i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.99445 | + | 14.9997i | 0.524256 | + | 1.12427i | ||||
\(179\) | −2.76656 | + | 4.79182i | −0.206782 | + | 0.358157i | −0.950699 | − | 0.310115i | \(-0.899632\pi\) |
0.743917 | + | 0.668272i | \(0.232966\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.47188 | + | 12.9417i | 0.555381 | + | 0.961948i | 0.997874 | + | 0.0651757i | \(0.0207608\pi\) |
−0.442493 | + | 0.896772i | \(0.645906\pi\) | |||||||
\(182\) | −6.37936 | + | 9.11067i | −0.472870 | + | 0.675328i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.429237 | − | 1.17932i | −0.0316437 | − | 0.0869405i | ||||
\(185\) | −4.64196 | − | 22.1511i | −0.341283 | − | 1.62858i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.06345 | + | 12.1553i | −0.0777671 | + | 0.888882i | ||||
\(188\) | 11.5705 | − | 11.5705i | 0.843867 | − | 0.843867i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −22.4165 | + | 8.98212i | −1.62627 | + | 0.651632i | ||||
\(191\) | 1.79674 | + | 2.14127i | 0.130008 | + | 0.154937i | 0.827121 | − | 0.562024i | \(-0.189977\pi\) |
−0.697113 | + | 0.716961i | \(0.745533\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.74863 | − | 6.82607i | 0.701722 | − | 0.491351i | −0.167438 | − | 0.985883i | \(-0.553549\pi\) |
0.869160 | + | 0.494532i | \(0.164660\pi\) | |||||||
\(194\) | −13.4265 | + | 4.88685i | −0.963968 | + | 0.350856i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.721811 | + | 4.09359i | 0.0515579 | + | 0.292399i | ||||
\(197\) | −5.07629 | + | 18.9450i | −0.361671 | + | 1.34977i | 0.510208 | + | 0.860051i | \(0.329568\pi\) |
−0.871879 | + | 0.489722i | \(0.837098\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.1682 | + | 5.87060i | 0.720802 | + | 0.416156i | 0.815048 | − | 0.579393i | \(-0.196711\pi\) |
−0.0942455 | + | 0.995549i | \(0.530044\pi\) | |||||||
\(200\) | 4.47575 | + | 1.74762i | 0.316483 | + | 0.123575i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 31.5328 | − | 2.75876i | 2.21864 | − | 0.194106i | ||||
\(203\) | 0.0587806 | − | 0.00514264i | 0.00412559 | − | 0.000360943i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.2082 | − | 16.2153i | 1.06219 | − | 1.13252i | ||||
\(206\) | −3.56267 | − | 2.05691i | −0.248223 | − | 0.143312i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.34694 | − | 8.75888i | 0.162731 | − | 0.607319i | ||||
\(209\) | −3.57709 | − | 20.2867i | −0.247432 | − | 1.40326i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.77638 | + | 2.10243i | −0.397662 | + | 0.144737i | −0.533107 | − | 0.846048i | \(-0.678976\pi\) |
0.135445 | + | 0.990785i | \(0.456754\pi\) | |||||||
\(212\) | −6.09163 | + | 4.26541i | −0.418375 | + | 0.292949i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −23.4232 | − | 27.9147i | −1.60118 | − | 1.90821i | ||||
\(215\) | −6.36668 | − | 15.8892i | −0.434204 | − | 1.08364i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.31870 | + | 3.31870i | −0.225288 | + | 0.225288i | ||||
\(218\) | 2.42756 | − | 27.7471i | 0.164415 | − | 1.87927i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.46947 | − | 9.89979i | 0.436171 | − | 0.667444i | ||||
\(221\) | −2.23047 | − | 6.12818i | −0.150038 | − | 0.412226i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.53001 | − | 7.89767i | 0.370317 | − | 0.528867i | −0.590138 | − | 0.807302i | \(-0.700927\pi\) |
0.960455 | + | 0.278435i | \(0.0898156\pi\) | |||||||
\(224\) | −10.9135 | − | 18.9028i | −0.729192 | − | 1.26300i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.60360 | − | 11.4378i | 0.439265 | − | 0.760829i | ||||
\(227\) | −0.386431 | − | 0.828704i | −0.0256483 | − | 0.0550030i | 0.893066 | − | 0.449925i | \(-0.148549\pi\) |
−0.918715 | + | 0.394922i | \(0.870772\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.03966 | − | 3.62252i | 0.200866 | − | 0.239383i | −0.656203 | − | 0.754585i | \(-0.727838\pi\) |
0.857069 | + | 0.515201i | \(0.172283\pi\) | |||||||
\(230\) | 2.46111 | + | 4.86465i | 0.162281 | + | 0.320766i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0164169 | + | 0.00765533i | −0.00107782 | + | 0.000502597i | ||||
\(233\) | 1.04784 | + | 3.91060i | 0.0686464 | + | 0.256192i | 0.991718 | − | 0.128437i | \(-0.0409961\pi\) |
−0.923071 | + | 0.384629i | \(0.874329\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.2224 | − | 19.3690i | 0.993002 | − | 1.26349i | ||||
\(236\) | 8.20380 | − | 1.44655i | 0.534022 | − | 0.0941625i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −18.1483 | − | 8.46271i | −1.17638 | − | 0.548556i | ||||
\(239\) | −2.52463 | + | 14.3179i | −0.163305 | + | 0.926146i | 0.787491 | + | 0.616327i | \(0.211380\pi\) |
−0.950795 | + | 0.309820i | \(0.899731\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.3103 | + | 10.3295i | −0.792974 | + | 0.665384i | −0.946480 | − | 0.322764i | \(-0.895388\pi\) |
0.153506 | + | 0.988148i | \(0.450944\pi\) | |||||||
\(242\) | 2.21780 | + | 2.21780i | 0.142566 | + | 0.142566i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.6329i | 0.808739i | ||||||||
\(245\) | 1.81249 | + | 5.98980i | 0.115796 | + | 0.382674i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.31502 | + | 9.01879i | 0.401815 | + | 0.573852i | ||||
\(248\) | 0.608915 | − | 1.30582i | 0.0386662 | − | 0.0829199i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −20.2082 | − | 5.22365i | −1.27808 | − | 0.330373i | ||||
\(251\) | −5.03670 | + | 2.90794i | −0.317914 | + | 0.183547i | −0.650462 | − | 0.759539i | \(-0.725425\pi\) |
0.332549 | + | 0.943086i | \(0.392091\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.49200 | + | 1.20363i | −0.282410 | + | 0.0756715i | ||||
\(254\) | 2.51241 | + | 0.914443i | 0.157643 | + | 0.0573773i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.9749 | + | 13.4046i | 0.998434 | + | 0.837785i | ||||
\(257\) | −0.946469 | − | 10.8182i | −0.0590391 | − | 0.674820i | −0.966834 | − | 0.255406i | \(-0.917791\pi\) |
0.907795 | − | 0.419414i | \(-0.137765\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.8362 | + | 29.7722i | −0.673329 | + | 1.84996i | ||||
\(260\) | −0.897642 | + | 6.25673i | −0.0556694 | + | 0.388026i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.9714 | − | 2.93979i | −0.677817 | − | 0.181621i | ||||
\(263\) | 10.3433 | + | 7.24249i | 0.637798 | + | 0.446591i | 0.847226 | − | 0.531233i | \(-0.178271\pi\) |
−0.209428 | + | 0.977824i | \(0.567160\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.34153 | + | 7.46751i | −0.512416 | + | 0.458726i | ||||
\(266\) | 33.2929 | + | 5.87043i | 2.04132 | + | 0.359939i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.330759 | + | 0.0289376i | 0.0202043 | + | 0.00176765i | ||||
\(269\) | 0.247995 | 0.0151205 | 0.00756025 | − | 0.999971i | \(-0.497593\pi\) | ||||
0.00756025 | + | 0.999971i | \(0.497593\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.3307 | 0.627548 | 0.313774 | − | 0.949498i | \(-0.398407\pi\) | ||||
0.313774 | + | 0.949498i | \(0.398407\pi\) | |||||||
\(272\) | 16.2639 | + | 1.42291i | 0.986143 | + | 0.0862764i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.90954 | − | 0.336704i | −0.115360 | − | 0.0203410i | ||||
\(275\) | 7.89671 | − | 15.9575i | 0.476189 | − | 0.962276i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.7965 | − | 8.26002i | −0.708785 | − | 0.496297i | 0.162727 | − | 0.986671i | \(-0.447971\pi\) |
−0.871512 | + | 0.490375i | \(0.836860\pi\) | |||||||
\(278\) | 34.3279 | + | 9.19814i | 2.05885 | + | 0.551668i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.03257 | − | 5.38347i | −0.240992 | − | 0.321724i | ||||
\(281\) | −3.43244 | + | 9.43056i | −0.204762 | + | 0.562580i | −0.998985 | − | 0.0450472i | \(-0.985656\pi\) |
0.794223 | + | 0.607627i | \(0.207878\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.88728 | − | 21.5718i | −0.112187 | − | 1.28231i | −0.818541 | − | 0.574449i | \(-0.805217\pi\) |
0.706353 | − | 0.707860i | \(-0.250339\pi\) | |||||||
\(284\) | 0.563566 | + | 0.472888i | 0.0334415 | + | 0.0280608i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.8891 | − | 4.32727i | −0.703017 | − | 0.255877i | ||||
\(287\) | −30.0611 | + | 8.05485i | −1.77445 | + | 0.475462i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.55406 | + | 2.62929i | −0.267886 | + | 0.154664i | ||||
\(290\) | 0.0668506 | − | 0.0415066i | 0.00392560 | − | 0.00243735i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.03705 | + | 10.8020i | −0.294771 | + | 0.632139i | ||||
\(293\) | 8.21615 | + | 11.7339i | 0.479992 | + | 0.685500i | 0.983994 | − | 0.178203i | \(-0.0570283\pi\) |
−0.504001 | + | 0.863703i | \(0.668139\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.0039 | − | 3.63233i | 0.698895 | − | 0.211482i | ||||
\(296\) | − | 9.72638i | − | 0.565334i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.88681 | + | 3.88681i | 0.225157 | + | 0.225157i | ||||
\(299\) | 1.90404 | − | 1.59768i | 0.110113 | − | 0.0923960i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.16106 | + | 23.5985i | −0.239839 | + | 1.36020i | ||||
\(302\) | 29.8472 | + | 13.9180i | 1.71751 | + | 0.800890i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −27.1438 | + | 4.78618i | −1.55680 | + | 0.274506i | ||||
\(305\) | 2.26365 | + | 18.8838i | 0.129616 | + | 1.08128i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.02613 | − | 11.2937i | −0.172710 | − | 0.644564i | −0.996930 | − | 0.0782941i | \(-0.975053\pi\) |
0.824220 | − | 0.566270i | \(-0.191614\pi\) | |||||||
\(308\) | −15.0045 | + | 6.99670i | −0.854959 | + | 0.398674i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.95120 | + | 5.94705i | −0.110821 | + | 0.337770i | ||||
\(311\) | −16.3947 | + | 19.5384i | −0.929657 | + | 1.10792i | 0.0642755 | + | 0.997932i | \(0.479526\pi\) |
−0.993933 | + | 0.109990i | \(0.964918\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.5926 | + | 27.0049i | 0.711775 | + | 1.52641i | 0.844677 | + | 0.535276i | \(0.179793\pi\) |
−0.132902 | + | 0.991129i | \(0.542430\pi\) | |||||||
\(314\) | −8.06186 | + | 13.9635i | −0.454957 | + | 0.788008i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.31649 | + | 2.28023i | 0.0740586 | + | 0.128273i | ||||
\(317\) | 14.4521 | − | 20.6398i | 0.811713 | − | 1.15925i | −0.172976 | − | 0.984926i | \(-0.555338\pi\) |
0.984689 | − | 0.174321i | \(-0.0557729\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0229572 | + | 0.0630743i | 0.00128536 | + | 0.00353148i | ||||
\(320\) | −6.52987 | − | 4.26724i | −0.365031 | − | 0.238546i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.665170 | − | 7.60293i | 0.0370685 | − | 0.423695i | ||||
\(323\) | −14.0166 | + | 14.0166i | −0.779907 | + | 0.779907i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.220682 | + | 9.51346i | −0.0122412 | + | 0.527712i | ||||
\(326\) | −12.4195 | − | 14.8010i | −0.687852 | − | 0.819750i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.82620 | − | 5.47996i | 0.432130 | − | 0.302580i | ||||
\(329\) | −32.4068 | + | 11.7951i | −1.78664 | + | 0.650285i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.41876 | + | 25.0600i | 0.242877 | + | 1.37742i | 0.825372 | + | 0.564589i | \(0.190965\pi\) |
−0.582495 | + | 0.812834i | \(0.697924\pi\) | |||||||
\(332\) | −2.83891 | + | 10.5949i | −0.155805 | + | 0.581473i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 11.4069 | + | 6.58578i | 0.624158 | + | 0.360358i | ||||
\(335\) | 0.499606 | − | 0.0160113i | 0.0272964 | − | 0.000874792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.7115 | + | 1.37458i | −0.855859 | + | 0.0748780i | −0.506634 | − | 0.862161i | \(-0.669111\pi\) |
−0.349225 | + | 0.937039i | \(0.613555\pi\) | |||||||
\(338\) | −17.4407 | + | 1.52586i | −0.948648 | + | 0.0829959i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −11.3743 | + | 0.364521i | −0.616857 | + | 0.0197689i | ||||
\(341\) | −4.62371 | − | 2.66950i | −0.250388 | − | 0.144562i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.40382 | + | 12.7032i | −0.183789 | + | 0.685910i | ||||
\(344\) | −1.27741 | − | 7.24453i | −0.0688731 | − | 0.390599i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.51048 | + | 2.36962i | −0.350006 | + | 0.127392i | ||||
\(347\) | 9.12375 | − | 6.38852i | 0.489788 | − | 0.342954i | −0.302450 | − | 0.953165i | \(-0.597805\pi\) |
0.792238 | + | 0.610212i | \(0.208916\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.156572 | − | 0.186596i | −0.00838112 | − | 0.00998823i | 0.761838 | − | 0.647768i | \(-0.224297\pi\) |
−0.770219 | + | 0.637780i | \(0.779853\pi\) | |||||||
\(350\) | 20.1765 | + | 21.1348i | 1.07848 | + | 1.12970i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 17.5573 | − | 17.5573i | 0.935807 | − | 0.935807i | ||||
\(353\) | −1.23061 | + | 14.0660i | −0.0654989 | + | 0.748656i | 0.890442 | + | 0.455097i | \(0.150395\pi\) |
−0.955941 | + | 0.293559i | \(0.905160\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.927160 | + | 0.605894i | 0.0492085 | + | 0.0321575i | ||||
\(356\) | −4.50341 | − | 12.3730i | −0.238680 | − | 0.655768i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.92486 | − | 8.46158i | 0.313139 | − | 0.447208i | ||||
\(359\) | 0.501469 | + | 0.868570i | 0.0264665 | + | 0.0458414i | 0.878955 | − | 0.476904i | \(-0.158241\pi\) |
−0.852489 | + | 0.522746i | \(0.824908\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.23275 | − | 12.5275i | 0.380671 | − | 0.659341i | ||||
\(362\) | −11.7903 | − | 25.2844i | −0.619686 | − | 1.32892i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.68771 | − | 6.77835i | 0.298117 | − | 0.355282i | ||||
\(365\) | −5.59386 | + | 17.0495i | −0.292796 | + | 0.892411i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.1991 | + | 6.15484i | −0.688987 | + | 0.321280i | −0.735391 | − | 0.677643i | \(-0.763002\pi\) |
0.0464043 | + | 0.998923i | \(0.485224\pi\) | |||||||
\(368\) | 1.61047 | + | 6.01035i | 0.0839514 | + | 0.313311i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.02883 | + | 41.9514i | 0.261436 | + | 2.18095i | ||||
\(371\) | 15.4349 | − | 2.72159i | 0.801339 | − | 0.141298i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.3578 | + | 15.0887i | 1.67542 | + | 0.781262i | 0.998998 | + | 0.0447484i | \(0.0142486\pi\) |
0.676423 | + | 0.736513i | \(0.263529\pi\) | |||||||
\(374\) | 3.95556 | − | 22.4331i | 0.204537 | − | 1.15999i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.11016 | − | 6.80523i | 0.418250 | − | 0.350953i | ||||
\(377\) | −0.0253674 | − | 0.0253674i | −0.00130649 | − | 0.00130649i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 33.2247i | − | 1.70664i | −0.521388 | − | 0.853320i | \(-0.674585\pi\) | ||
0.521388 | − | 0.853320i | \(-0.325415\pi\) | |||||||
\(380\) | 18.3891 | − | 5.56446i | 0.943340 | − | 0.285451i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.99314 | − | 4.27464i | −0.153142 | − | 0.218710i | ||||
\(383\) | 13.8723 | − | 29.7492i | 0.708842 | − | 1.52012i | −0.139245 | − | 0.990258i | \(-0.544468\pi\) |
0.848087 | − | 0.529858i | \(-0.177755\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −21.1751 | + | 13.1473i | −1.07918 | + | 0.670050i | ||||
\(386\) | −19.2410 | + | 11.1088i | −0.979340 | + | 0.565422i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.9801 | − | 2.94210i | 0.557429 | − | 0.149363i | ||||
\(389\) | 5.02600 | + | 1.82931i | 0.254828 | + | 0.0927498i | 0.466276 | − | 0.884640i | \(-0.345596\pi\) |
−0.211447 | + | 0.977389i | \(0.567818\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.42808 | + | 2.87650i | 0.173365 | + | 0.145471i | ||||
\(392\) | 0.234400 | + | 2.67920i | 0.0118390 | + | 0.135320i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.5233 | − | 34.4075i | 0.630915 | − | 1.73343i | ||||
\(395\) | 2.37650 | + | 3.17262i | 0.119574 | + | 0.159632i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 29.6681 | + | 7.94953i | 1.48900 | + | 0.398976i | 0.909398 | − | 0.415926i | \(-0.136542\pi\) |
0.579599 | + | 0.814902i | \(0.303209\pi\) | |||||||
\(398\) | −17.9554 | − | 12.5725i | −0.900021 | − | 0.630201i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.3514 | − | 10.5659i | −1.06757 | − | 0.528294i | ||||
\(401\) | 0.473405 | + | 0.0834740i | 0.0236407 | + | 0.00416849i | 0.185456 | − | 0.982653i | \(-0.440624\pi\) |
−0.161815 | + | 0.986821i | \(0.551735\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.84269 | + | 0.248703i | 0.141604 | + | 0.0123888i | ||||
\(404\) | −25.1827 | −1.25289 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.110156 | −0.00546694 | ||||||||
\(407\) | −35.9043 | − | 3.14122i | −1.77971 | − | 0.155705i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.3819 | + | 3.94653i | 1.10671 | + | 0.195144i | 0.697000 | − | 0.717071i | \(-0.254518\pi\) |
0.409714 | + | 0.912214i | \(0.365629\pi\) | |||||||
\(410\) | −30.9223 | + | 27.6823i | −1.52714 | + | 1.36713i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.68098 | + | 1.87724i | 0.132082 | + | 0.0924851i | ||||
\(413\) | −16.9586 | − | 4.54404i | −0.834478 | − | 0.223598i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.34515 | + | 16.3461i | −0.115119 | + | 0.802399i | ||||
\(416\) | −4.53888 | + | 12.4705i | −0.222537 | + | 0.611416i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.35176 | + | 38.3107i | 0.163940 | + | 1.87384i | ||||
\(419\) | 8.25865 | + | 6.92983i | 0.403462 | + | 0.338544i | 0.821830 | − | 0.569733i | \(-0.192953\pi\) |
−0.418368 | + | 0.908277i | \(0.637398\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −23.5375 | − | 8.56694i | −1.14715 | − | 0.417527i | −0.302657 | − | 0.953099i | \(-0.597874\pi\) |
−0.844489 | + | 0.535572i | \(0.820096\pi\) | |||||||
\(422\) | 11.0849 | − | 2.97018i | 0.539603 | − | 0.144586i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.16685 | + | 2.40573i | −0.202360 | + | 0.116833i | ||||
\(425\) | −16.9371 | + | 2.58301i | −0.821568 | + | 0.125294i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.2521 | − | 24.1302i | 0.544528 | − | 1.16774i | ||||
\(428\) | 16.6285 | + | 23.7480i | 0.803771 | + | 1.14790i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.25529 | + | 30.5864i | 0.446330 | + | 1.47500i | ||||
\(431\) | − | 14.1259i | − | 0.680421i | −0.940349 | − | 0.340210i | \(-0.889502\pi\) | ||
0.940349 | − | 0.340210i | \(-0.110498\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.82757 | + | 1.82757i | 0.0878275 | + | 0.0878275i | 0.749656 | − | 0.661828i | \(-0.230219\pi\) |
−0.661828 | + | 0.749656i | \(0.730219\pi\) | |||||||
\(434\) | 6.71204 | − | 5.63207i | 0.322188 | − | 0.270348i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.84793 | + | 21.8227i | −0.184283 | + | 1.04512i | ||||
\(437\) | −6.84716 | − | 3.19288i | −0.327544 | − | 0.152736i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.0637 | − | 4.24307i | 1.14850 | − | 0.202511i | 0.433177 | − | 0.901309i | \(-0.357393\pi\) |
0.715319 | + | 0.698798i | \(0.246281\pi\) | |||||||
\(440\) | 4.72810 | − | 6.01603i | 0.225403 | − | 0.286803i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.15108 | + | 11.7600i | 0.149881 | + | 0.559365i | ||||
\(443\) | 26.8103 | − | 12.5019i | 1.27380 | − | 0.593981i | 0.336227 | − | 0.941781i | \(-0.390849\pi\) |
0.937569 | + | 0.347800i | \(0.113071\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.94881 | − | 17.6883i | −0.424214 | − | 0.838507i | ||||
\(446\) | −11.5696 | + | 13.7881i | −0.547838 | + | 0.652888i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.61500 | + | 9.89690i | 0.218038 | + | 0.467584i | ||||
\(449\) | 15.2444 | − | 26.4040i | 0.719426 | − | 1.24608i | −0.241802 | − | 0.970326i | \(-0.577738\pi\) |
0.961228 | − | 0.275756i | \(-0.0889283\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.7014 | − | 30.6597i | −0.833527 | − | 1.44371i | ||||
\(452\) | −6.02678 | + | 8.60714i | −0.283476 | + | 0.404846i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.583838 | + | 1.60408i | 0.0274009 | + | 0.0752833i | ||||
\(455\) | 7.28745 | − | 11.1515i | 0.341641 | − | 0.522790i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.815525 | − | 9.32149i | 0.0381486 | − | 0.436041i | −0.952970 | − | 0.303063i | \(-0.901991\pi\) |
0.991119 | − | 0.132978i | \(-0.0424538\pi\) | |||||||
\(458\) | −6.24252 | + | 6.24252i | −0.291694 | + | 0.291694i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.61324 | − | 4.02615i | −0.0752179 | − | 0.187720i | ||||
\(461\) | 4.16189 | + | 4.95995i | 0.193839 | + | 0.231008i | 0.854206 | − | 0.519935i | \(-0.174044\pi\) |
−0.660367 | + | 0.750943i | \(0.729599\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.8905 | + | 7.62562i | −0.506125 | + | 0.354393i | −0.798582 | − | 0.601886i | \(-0.794416\pi\) |
0.292457 | + | 0.956279i | \(0.405527\pi\) | |||||||
\(464\) | 0.0843941 | − | 0.0307169i | 0.00391790 | − | 0.00142600i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.31246 | − | 7.44335i | −0.0607987 | − | 0.344806i | ||||
\(467\) | 5.67127 | − | 21.1655i | 0.262435 | − | 0.979421i | −0.701367 | − | 0.712801i | \(-0.747426\pi\) |
0.963802 | − | 0.266620i | \(-0.0859069\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.606010 | − | 0.349880i | −0.0279829 | − | 0.0161560i | ||||
\(470\) | −31.4619 | + | 33.5452i | −1.45123 | + | 1.54733i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.36927 | − | 0.469751i | 0.247141 | − | 0.0216220i | ||||
\(473\) | −27.1553 | + | 2.37578i | −1.24860 | + | 0.109239i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 26.4911 | − | 11.6129i | 1.21550 | − | 0.532835i | ||||
\(476\) | 13.7967 | + | 7.96554i | 0.632372 | + | 0.365100i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.02491 | − | 26.2173i | 0.321312 | − | 1.19915i | ||||
\(479\) | 2.75645 | + | 15.6326i | 0.125945 | + | 0.714272i | 0.980742 | + | 0.195309i | \(0.0625709\pi\) |
−0.854796 | + | 0.518964i | \(0.826318\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.1014 | − | 6.58839i | 0.825355 | − | 0.300405i | ||||
\(482\) | 24.5751 | − | 17.2077i | 1.11936 | − | 0.783788i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.60395 | − | 1.91151i | −0.0729066 | − | 0.0868867i | ||||
\(485\) | 15.8859 | − | 6.36537i | 0.721343 | − | 0.289036i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.67948 | + | 9.67948i | −0.438619 | + | 0.438619i | −0.891547 | − | 0.452928i | \(-0.850379\pi\) |
0.452928 | + | 0.891547i | \(0.350379\pi\) | |||||||
\(488\) | −0.712372 | + | 8.14245i | −0.0322476 | + | 0.368592i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.39623 | − | 11.4346i | −0.108251 | − | 0.516563i | ||||
\(491\) | −9.36638 | − | 25.7339i | −0.422699 | − | 1.16136i | −0.950156 | − | 0.311774i | \(-0.899077\pi\) |
0.527458 | − | 0.849581i | \(-0.323145\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0370474 | − | 0.0529092i | 0.00166853 | − | 0.00238291i | ||||
\(494\) | −10.2771 | − | 17.8005i | −0.462389 | − | 0.800881i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.57182 | + | 6.18657i | −0.160379 | + | 0.277785i | ||||
\(497\) | −0.655272 | − | 1.40524i | −0.0293930 | − | 0.0630335i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.84438 | − | 3.38980i | 0.127332 | − | 0.151749i | −0.698612 | − | 0.715501i | \(-0.746198\pi\) |
0.825944 | + | 0.563753i | \(0.190643\pi\) | |||||||
\(500\) | 15.6538 | + | 5.54124i | 0.700061 | + | 0.247812i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.84030 | − | 4.58861i | 0.439194 | − | 0.204800i | ||||
\(503\) | −5.44875 | − | 20.3350i | −0.242948 | − | 0.906693i | −0.974404 | − | 0.224805i | \(-0.927826\pi\) |
0.731456 | − | 0.681889i | \(-0.238841\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −37.6433 | + | 4.51240i | −1.67511 | + | 0.200799i | ||||
\(506\) | 8.54998 | − | 1.50759i | 0.380093 | − | 0.0670207i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.92781 | − | 0.898953i | −0.0855328 | − | 0.0398846i | ||||
\(509\) | −3.28136 | + | 18.6095i | −0.145444 | + | 0.824851i | 0.821566 | + | 0.570113i | \(0.193101\pi\) |
−0.967010 | + | 0.254739i | \(0.918011\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.2426 | − | 16.1465i | 0.851244 | − | 0.714279i | ||||
\(512\) | −17.0168 | − | 17.0168i | −0.752043 | − | 0.752043i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 20.2735i | 0.894224i | ||||||||
\(515\) | 4.34393 | + | 2.32572i | 0.191416 | + | 0.102484i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −22.5018 | − | 32.1360i | −0.989630 | − | 1.41334i | ||||
\(518\) | 24.9972 | − | 53.6067i | 1.09831 | − | 2.35534i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.931387 | + | 3.98211i | −0.0408440 | + | 0.174627i | ||||
\(521\) | 20.9815 | − | 12.1137i | 0.919216 | − | 0.530709i | 0.0358309 | − | 0.999358i | \(-0.488592\pi\) |
0.883385 | + | 0.468648i | \(0.155259\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.3165 | + | 8.39124i | −1.36938 | + | 0.366923i | −0.867251 | − | 0.497872i | \(-0.834115\pi\) |
−0.502125 | + | 0.864795i | \(0.667448\pi\) | |||||||
\(524\) | 8.49159 | + | 3.09069i | 0.370957 | + | 0.135017i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.0579 | − | 15.1524i | −0.787363 | − | 0.660676i | ||||
\(527\) | 0.447771 | + | 5.11805i | 0.0195052 | + | 0.222946i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.28312 | − | 20.0102i | 0.316657 | − | 0.870009i | ||||
\(530\) | 16.7284 | − | 12.5307i | 0.726637 | − | 0.544298i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −25.9793 | − | 6.96113i | −1.12634 | − | 0.301803i | ||||
\(533\) | 15.4998 | + | 10.8531i | 0.671372 | + | 0.470100i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 29.1118 | + | 32.5191i | 1.25861 | + | 1.40592i | ||||
\(536\) | 0.211556 | + | 0.0373031i | 0.00913784 | + | 0.00161125i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.461216 | − | 0.0403511i | −0.0198844 | − | 0.00173966i | ||||
\(539\) | 9.96580 | 0.429258 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.6739 | −1.36177 | −0.680885 | − | 0.732391i | \(-0.738404\pi\) | ||||
−0.680885 | + | 0.732391i | \(0.738404\pi\) | |||||||
\(542\) | −19.2129 | − | 1.68091i | −0.825265 | − | 0.0722013i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −23.5301 | − | 4.14900i | −1.00885 | − | 0.177887i | ||||
\(545\) | −1.84159 | + | 33.3103i | −0.0788848 | + | 1.42686i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.35939 | + | 3.05247i | 0.186394 | + | 0.130514i | 0.663049 | − | 0.748576i | \(-0.269262\pi\) |
−0.476655 | + | 0.879090i | \(0.658151\pi\) | |||||||
\(548\) | 1.49007 | + | 0.399262i | 0.0636525 | + | 0.0170556i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.2826 | + | 28.3926i | −0.736932 | + | 1.21067i | ||||
\(551\) | −0.0372955 | + | 0.102469i | −0.00158884 | + | 0.00436531i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.483646 | − | 5.52810i | −0.0205667 | − | 0.235079i | ||||
\(554\) | 20.5950 | + | 17.2812i | 0.874996 | + | 0.734209i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −26.5689 | − | 9.67029i | −1.12677 | − | 0.410111i | ||||
\(557\) | 5.85880 | − | 1.56986i | 0.248245 | − | 0.0665171i | −0.132551 | − | 0.991176i | \(-0.542317\pi\) |
0.380796 | + | 0.924659i | \(0.375650\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.6173 | − | 7.28459i | 0.533654 | − | 0.308105i | ||||
\(560\) | 17.5913 | + | 28.3325i | 0.743367 | + | 1.19727i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 7.91803 | − | 16.9803i | 0.334002 | − | 0.716269i | ||||
\(563\) | −7.27648 | − | 10.3919i | −0.306667 | − | 0.437966i | 0.636006 | − | 0.771684i | \(-0.280585\pi\) |
−0.942673 | + | 0.333718i | \(0.891697\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.46661 | + | 13.9459i | −0.314122 | + | 0.586711i | ||||
\(566\) | 40.4258i | 1.69922i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.336577 | + | 0.336577i | 0.0141224 | + | 0.0141224i | ||||
\(569\) | −10.4685 | + | 8.78410i | −0.438862 | + | 0.368249i | −0.835283 | − | 0.549820i | \(-0.814696\pi\) |
0.396421 | + | 0.918069i | \(0.370252\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.567607 | − | 3.21906i | 0.0237536 | − | 0.134713i | −0.970625 | − | 0.240598i | \(-0.922656\pi\) |
0.994378 | + | 0.105885i | \(0.0337675\pi\) | |||||||
\(572\) | 9.12268 | + | 4.25397i | 0.381438 | + | 0.177868i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 57.2176 | − | 10.0890i | 2.38822 | − | 0.421107i | ||||
\(575\) | −3.13292 | − | 5.72925i | −0.130652 | − | 0.238926i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.86877 | + | 14.4385i | 0.161059 | + | 0.601081i | 0.998510 | + | 0.0545684i | \(0.0173783\pi\) |
−0.837451 | + | 0.546513i | \(0.815955\pi\) | |||||||
\(578\) | 8.89735 | − | 4.14890i | 0.370081 | − | 0.172572i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0558607 | + | 0.0282608i | −0.00231949 | + | 0.00117347i | ||||
\(581\) | 14.8595 | − | 17.7089i | 0.616477 | − | 0.734689i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.53489 | + | 16.1586i | 0.312063 | + | 0.669222i | ||||
\(584\) | −3.85572 | + | 6.67831i | −0.159551 | + | 0.276350i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.3710 | − | 23.1593i | −0.552351 | − | 0.956700i | ||||
\(587\) | −16.4912 | + | 23.5519i | −0.680666 | + | 0.972091i | 0.319038 | + | 0.947742i | \(0.396640\pi\) |
−0.999704 | + | 0.0243494i | \(0.992249\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.96654 | − | 8.15050i | −0.122234 | − | 0.335836i | ||||
\(590\) | −22.9157 | + | 4.80218i | −0.943422 | + | 0.197703i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.20299 | + | 48.0404i | −0.172742 | + | 1.97445i | ||||
\(593\) | 21.0591 | − | 21.0591i | 0.864795 | − | 0.864795i | −0.127095 | − | 0.991891i | \(-0.540565\pi\) |
0.991891 | + | 0.127095i | \(0.0405654\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 22.0508 | + | 9.43477i | 0.903994 | + | 0.386788i | ||||
\(596\) | −2.81099 | − | 3.35001i | −0.115143 | − | 0.137222i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.80104 | + | 2.66152i | −0.155436 | + | 0.108838i | ||||
\(599\) | −18.9188 | + | 6.88587i | −0.773000 | + | 0.281349i | −0.698251 | − | 0.715853i | \(-0.746038\pi\) |
−0.0747495 | + | 0.997202i | \(0.523816\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.78086 | + | 21.4423i | 0.154225 | + | 0.874652i | 0.959491 | + | 0.281739i | \(0.0909111\pi\) |
−0.805267 | + | 0.592913i | \(0.797978\pi\) | |||||||
\(602\) | 11.5784 | − | 43.2110i | 0.471899 | − | 1.76115i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −22.6904 | − | 13.1003i | −0.923260 | − | 0.533045i | ||||
\(605\) | −2.74011 | − | 2.56993i | −0.111401 | − | 0.104483i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −25.1503 | + | 2.20037i | −1.02082 | + | 0.0893101i | −0.585257 | − | 0.810848i | \(-0.699006\pi\) |
−0.435563 | + | 0.900158i | \(0.643451\pi\) | |||||||
\(608\) | 40.1842 | − | 3.51566i | 1.62968 | − | 0.142579i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.13732 | − | 35.4880i | −0.0460485 | − | 1.43687i | ||||
\(611\) | 18.1586 | + | 10.4839i | 0.734618 | + | 0.424132i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.34719 | + | 27.4201i | −0.296750 | + | 1.10749i | 0.643067 | + | 0.765810i | \(0.277662\pi\) |
−0.939817 | + | 0.341677i | \(0.889005\pi\) | |||||||
\(614\) | 3.79035 | + | 21.4961i | 0.152966 | + | 0.867513i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.0656 | + | 3.66357i | −0.405554 | + | 0.147609i | ||||
\(617\) | −18.7465 | + | 13.1265i | −0.754707 | + | 0.528452i | −0.886446 | − | 0.462833i | \(-0.846833\pi\) |
0.131738 | + | 0.991285i | \(0.457944\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.4274 | − | 21.9609i | −0.740658 | − | 0.882682i | 0.255804 | − | 0.966729i | \(-0.417660\pi\) |
−0.996462 | + | 0.0840469i | \(0.973215\pi\) | |||||||
\(620\) | 1.95879 | − | 4.57805i | 0.0786670 | − | 0.183859i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 33.6696 | − | 33.6696i | 1.35003 | − | 1.35003i | ||||
\(623\) | −2.41862 | + | 27.6450i | −0.0969000 | + | 1.10757i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.3924 | + | 5.47814i | 0.975697 | + | 0.219126i | ||||
\(626\) | −19.0255 | − | 52.2720i | −0.760411 | − | 2.08921i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.35767 | − | 10.5078i | 0.293603 | − | 0.419308i | ||||
\(629\) | 17.3409 | + | 30.0354i | 0.691429 | + | 1.19759i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.00683 | + | 5.20799i | −0.119700 | + | 0.207327i | −0.919649 | − | 0.392742i | \(-0.871527\pi\) |
0.799949 | + | 0.600068i | \(0.204860\pi\) | |||||||
\(632\) | 0.719954 | + | 1.54395i | 0.0286382 | + | 0.0614149i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −30.2361 | + | 36.0340i | −1.20083 | + | 1.43109i | ||||
\(635\) | −3.04279 | − | 0.998325i | −0.120749 | − | 0.0396173i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.82739 | + | 2.25105i | −0.191268 | + | 0.0891899i | ||||
\(638\) | −0.0324325 | − | 0.121040i | −0.00128401 | − | 0.00479201i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.0681 | − | 10.2704i | −0.516561 | − | 0.405975i | ||||
\(641\) | 7.56572 | − | 1.33404i | 0.298828 | − | 0.0526914i | −0.0222240 | − | 0.999753i | \(-0.507075\pi\) |
0.321052 | + | 0.947062i | \(0.395964\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −26.3895 | − | 12.3056i | −1.04070 | − | 0.485286i | −0.174328 | − | 0.984688i | \(-0.555775\pi\) |
−0.866370 | + | 0.499402i | \(0.833553\pi\) | |||||||
\(644\) | −1.05437 | + | 5.97960i | −0.0415478 | + | 0.235629i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.3485 | − | 23.7872i | 1.11536 | − | 0.935896i | ||||
\(647\) | −12.6122 | − | 12.6122i | −0.495836 | − | 0.495836i | 0.414303 | − | 0.910139i | \(-0.364025\pi\) |
−0.910139 | + | 0.414303i | \(0.864025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 19.9721i | − | 0.783972i | ||||||
\(650\) | 1.95835 | − | 17.6570i | 0.0768128 | − | 0.692566i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.81681 | + | 12.5917i | 0.345293 | + | 0.493129i | ||||
\(653\) | 1.21466 | − | 2.60484i | 0.0475332 | − | 0.101935i | −0.881107 | − | 0.472917i | \(-0.843201\pi\) |
0.928640 | + | 0.370982i | \(0.120979\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.2471 | + | 3.09841i | 0.517608 | + | 0.121065i | ||||
\(656\) | −41.0230 | + | 23.6847i | −1.60168 | + | 0.924731i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 62.1887 | − | 16.6634i | 2.42437 | − | 0.649607i | ||||
\(659\) | 27.2829 | + | 9.93016i | 1.06279 | + | 0.386824i | 0.813476 | − | 0.581599i | \(-0.197573\pi\) |
0.249314 | + | 0.968423i | \(0.419795\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.29090 | − | 1.08319i | −0.0502100 | − | 0.0421312i | 0.617337 | − | 0.786699i | \(-0.288211\pi\) |
−0.667547 | + | 0.744567i | \(0.732656\pi\) | |||||||
\(662\) | −4.14041 | − | 47.3251i | −0.160922 | − | 1.83934i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.42725 | + | 6.66881i | −0.0941955 | + | 0.258800i | ||||
\(665\) | −40.0814 | − | 5.75042i | −1.55429 | − | 0.222992i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0237786 | + | 0.00637146i | 0.000920711 | + | 0.000246704i | ||||
\(668\) | −8.58392 | − | 6.01053i | −0.332122 | − | 0.232554i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.931762 | − | 0.0515132i | −0.0359971 | − | 0.00199013i | ||||
\(671\) | 29.8273 | + | 5.25936i | 1.15147 | + | 0.203035i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.4142 | + | 1.87350i | 0.825458 | + | 0.0722182i | 0.492053 | − | 0.870565i | \(-0.336247\pi\) |
0.333405 | + | 0.942784i | \(0.391802\pi\) | |||||||
\(674\) | 29.4436 | 1.13412 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.9285 | 0.535710 | ||||||||
\(677\) | 11.6890 | + | 1.02266i | 0.449245 | + | 0.0393039i | 0.309534 | − | 0.950888i | \(-0.399827\pi\) |
0.139711 | + | 0.990192i | \(0.455383\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −23.5937 | − | 4.16020i | −0.905442 | − | 0.159654i | ||||
\(680\) | −7.35177 | − | 0.406448i | −0.281927 | − | 0.0155866i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.16473 | + | 5.71701i | 0.312644 | + | 0.218916i | ||||
\(683\) | −32.6999 | − | 8.76191i | −1.25123 | − | 0.335265i | −0.428416 | − | 0.903581i | \(-0.640928\pi\) |
−0.822810 | + | 0.568316i | \(0.807595\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.29891 | + | 0.329820i | 0.0878367 | + | 0.0126018i | ||||
\(686\) | 8.39729 | − | 23.0714i | 0.320610 | − | 0.880869i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.17882 | + | 36.3341i | 0.121191 | + | 1.38522i | ||||
\(689\) | −7.29974 | − | 6.12521i | −0.278098 | − | 0.233352i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.6550 | + | 9.70163i | 1.01400 | + | 0.369067i | 0.794969 | − | 0.606650i | \(-0.207487\pi\) |
0.219035 | + | 0.975717i | \(0.429709\pi\) | |||||||
\(692\) | 5.32421 | − | 1.42662i | 0.202396 | − | 0.0542318i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.0076 | + | 10.3967i | −0.683561 | + | 0.394654i | ||||
\(695\) | −41.4482 | − | 9.69444i | −1.57222 | − | 0.367731i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.3975 | + | 30.8755i | −0.545343 | + | 1.16949i | ||||
\(698\) | 0.260829 | + | 0.372502i | 0.00987252 | + | 0.0140994i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −14.5255 | − | 18.1495i | −0.549011 | − | 0.685986i | ||||
\(701\) | 44.1563i | 1.66776i | 0.551945 | + | 0.833880i | \(0.313886\pi\) | ||||
−0.551945 | + | 0.833880i | \(0.686114\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −41.4024 | − | 41.4024i | −1.56152 | − | 1.56152i | ||||
\(704\) | −9.51599 | + | 7.98487i | −0.358648 | + | 0.300941i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.57734 | − | 25.9594i | 0.172270 | − | 0.976994i | ||||
\(707\) | 48.1017 | + | 22.4302i | 1.80905 | + | 0.843574i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −16.3732 | + | 2.88704i | −0.614909 | + | 0.108425i | −0.472423 | − | 0.881372i | \(-0.656621\pi\) |
−0.142486 | + | 0.989797i | \(0.545510\pi\) | |||||||
\(710\) | −1.62573 | − | 1.27769i | −0.0610125 | − | 0.0479508i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.20492 | − | 8.22888i | −0.0826330 | − | 0.308390i | ||||
\(713\) | −1.77465 | + | 0.827531i | −0.0664610 | + | 0.0309913i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.3989 | + | 4.72422i | 0.538489 | + | 0.176676i | ||||
\(716\) | −5.28248 | + | 6.29542i | −0.197416 | + | 0.235271i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.791297 | − | 1.69694i | −0.0295310 | − | 0.0633293i | ||||
\(719\) | 24.0796 | − | 41.7071i | 0.898017 | − | 1.55541i | 0.0679908 | − | 0.997686i | \(-0.478341\pi\) |
0.830026 | − | 0.557725i | \(-0.188326\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.44891 | − | 5.97368i | −0.128444 | − | 0.222472i | ||||
\(722\) | −15.4897 | + | 22.1215i | −0.576466 | + | 0.823278i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.59124 | + | 20.8568i | 0.282126 | + | 0.775136i | ||||
\(725\) | −0.0784371 | + | 0.0522540i | −0.00291308 | + | 0.00194067i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.20894 | + | 25.2483i | −0.0819250 | + | 0.936407i | 0.838349 | + | 0.545133i | \(0.183521\pi\) |
−0.920274 | + | 0.391274i | \(0.872035\pi\) | |||||||
\(728\) | 4.04821 | − | 4.04821i | 0.150037 | − | 0.150037i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.1775 | − | 30.7981i | 0.487720 | − | 1.13989i | ||||
\(731\) | 16.8608 | + | 20.0939i | 0.623619 | + | 0.743200i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.1951 | + | 8.53910i | −0.450436 | + | 0.315399i | −0.776690 | − | 0.629883i | \(-0.783103\pi\) |
0.326253 | + | 0.945282i | \(0.394214\pi\) | |||||||
\(734\) | 25.5488 | − | 9.29902i | 0.943025 | − | 0.343233i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.58132 | − | 8.96809i | −0.0582881 | − | 0.330568i | ||||
\(737\) | 0.206026 | − | 0.768900i | 0.00758907 | − | 0.0283228i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23.0919 | + | 13.3321i | 0.849450 | + | 0.490430i | 0.860465 | − | 0.509509i | \(-0.170173\pi\) |
−0.0110150 | + | 0.999939i | \(0.503506\pi\) | |||||||
\(740\) | −1.07673 | − | 33.5974i | −0.0395812 | − | 1.23506i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −29.1483 | + | 2.55015i | −1.07007 | + | 0.0936188i | ||||
\(743\) | 0.669700 | − | 0.0585912i | 0.0245689 | − | 0.00214950i | −0.0748647 | − | 0.997194i | \(-0.523852\pi\) |
0.0994336 | + | 0.995044i | \(0.468297\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.80218 | − | 4.50393i | −0.175938 | − | 0.165011i | ||||
\(746\) | −57.7232 | − | 33.3265i | −2.11340 | − | 1.22017i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.69049 | + | 17.5051i | −0.171501 | + | 0.640052i | ||||
\(749\) | −10.6100 | − | 60.1723i | −0.387681 | − | 2.19865i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.08514 | − | 3.30672i | 0.331521 | − | 0.120664i | −0.170896 | − | 0.985289i | \(-0.554666\pi\) |
0.502417 | + | 0.864625i | \(0.332444\pi\) | |||||||
\(752\) | −42.9983 | + | 30.1077i | −1.56799 | + | 1.09791i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.0430503 | + | 0.0513054i | 0.00156780 | + | 0.00186843i | ||||
\(755\) | −36.2653 | − | 15.5167i | −1.31983 | − | 0.564709i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.1950 | − | 17.1950i | 0.624963 | − | 0.624963i | −0.321833 | − | 0.946796i | \(-0.604299\pi\) |
0.946796 | + | 0.321833i | \(0.104299\pi\) | |||||||
\(758\) | −5.40599 | + | 61.7907i | −0.196354 | + | 2.24434i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 12.1663 | − | 2.54957i | 0.441320 | − | 0.0924825i | ||||
\(761\) | 13.4878 | + | 37.0575i | 0.488933 | + | 1.34333i | 0.901647 | + | 0.432472i | \(0.142358\pi\) |
−0.412715 | + | 0.910860i | \(0.635419\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.7874 | − | 38.2564i | 0.969770 | − | 1.38498i | ||||
\(764\) | 2.07582 | + | 3.59542i | 0.0751005 | + | 0.130078i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −30.6399 | + | 53.0699i | −1.10707 | + | 1.91749i | ||||
\(767\) | 4.51124 | + | 9.67438i | 0.162891 | + | 0.349322i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.2031 | − | 39.5700i | 1.19734 | − | 1.42693i | 0.319756 | − | 0.947500i | \(-0.396399\pi\) |
0.877580 | − | 0.479429i | \(-0.159156\pi\) | |||||||
\(770\) | 41.5202 | − | 21.0058i | 1.49629 | − | 0.756995i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.0198 | − | 7.47014i | 0.576564 | − | 0.268856i | ||||
\(773\) | 8.14217 | + | 30.3870i | 0.292853 | + | 1.09294i | 0.942907 | + | 0.333056i | \(0.108080\pi\) |
−0.650054 | + | 0.759888i | \(0.725254\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.10769 | − | 7.19431i | 0.0757106 | − | 0.258427i | ||||
\(776\) | 7.24304 | − | 1.27714i | 0.260010 | − | 0.0458468i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.04960 | − | 4.21990i | −0.324444 | − | 0.151291i | ||||
\(779\) | 9.98726 | − | 56.6405i | 0.357831 | − | 2.02936i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.35115 | − | 1.13375i | 0.0483480 | − | 0.0405688i | ||||
\(782\) | −5.90743 | − | 5.90743i | −0.211249 | − | 0.211249i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 13.3343i | − | 0.476227i | ||||||
\(785\) | 9.11545 | − | 17.0256i | 0.325344 | − | 0.607670i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.4246 | − | 19.1723i | −0.478535 | − | 0.683419i | 0.505209 | − | 0.862997i | \(-0.331415\pi\) |
−0.983744 | + | 0.179579i | \(0.942527\pi\) | |||||||
\(788\) | −12.3112 | + | 26.4014i | −0.438567 | + | 0.940511i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.90354 | − | 6.28705i | −0.138882 | − | 0.223683i | ||||
\(791\) | 19.1782 | − | 11.0725i | 0.681898 | − | 0.393694i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.6362 | + | 4.18971i | −0.555257 | + | 0.148781i | ||||
\(794\) | −53.8826 | − | 19.6117i | −1.91222 | − | 0.695992i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 13.3588 | + | 11.2094i | 0.473490 | + | 0.397305i | ||||
\(797\) | −0.552985 | − | 6.32065i | −0.0195877 | − | 0.223889i | −0.999679 | − | 0.0253407i | \(-0.991933\pi\) |
0.980091 | − | 0.198548i | \(-0.0636226\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.9116 | + | 35.4742i | −0.456778 | + | 1.25499i | ||||
\(800\) | 29.7811 | + | 18.1277i | 1.05292 | + | 0.640912i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.866846 | − | 0.232271i | −0.0306094 | − | 0.00820177i | ||||
\(803\) | 23.4073 | + | 16.3900i | 0.826027 | + | 0.578390i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.504609 | + | 9.12729i | −0.0177851 | + | 0.321695i | ||||
\(806\) | −5.24631 | − | 0.925065i | −0.184793 | − | 0.0325840i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −16.2313 | − | 1.42006i | −0.571016 | − | 0.0499574i | ||||
\(809\) | −2.19431 | −0.0771479 | −0.0385740 | − | 0.999256i | \(-0.512282\pi\) | ||||
−0.0385740 | + | 0.999256i | \(0.512282\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.26943 | 0.220149 | 0.110075 | − | 0.993923i | \(-0.464891\pi\) | ||||
0.110075 | + | 0.993923i | \(0.464891\pi\) | |||||||
\(812\) | 0.0873043 | + | 0.00763813i | 0.00306378 | + | 0.000268046i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 66.2630 | + | 11.6840i | 2.32252 | + | 0.409523i | ||||
\(815\) | 15.4357 | + | 17.2423i | 0.540689 | + | 0.603973i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.2755 | − | 25.4004i | −1.26912 | − | 0.888646i | ||||
\(818\) | −40.9833 | − | 10.9814i | −1.43295 | − | 0.383957i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 26.4270 | − | 19.7956i | 0.922872 | − | 0.691291i | ||||
\(821\) | 0.182595 | − | 0.501675i | 0.00637260 | − | 0.0175086i | −0.936466 | − | 0.350760i | \(-0.885923\pi\) |
0.942838 | + | 0.333251i | \(0.108146\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.0403877 | + | 0.461633i | 0.00140783 | + | 0.0160915i | 0.996866 | − | 0.0791071i | \(-0.0252069\pi\) |
−0.995458 | + | 0.0951987i | \(0.969651\pi\) | |||||||
\(824\) | 1.62215 | + | 1.36115i | 0.0565103 | + | 0.0474177i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 30.7999 | + | 11.2102i | 1.07167 | + | 0.390054i | ||||
\(827\) | 29.9299 | − | 8.01968i | 1.04076 | − | 0.278872i | 0.302333 | − | 0.953202i | \(-0.402234\pi\) |
0.738430 | + | 0.674331i | \(0.235568\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.8944 | + | 20.7236i | −1.24666 | + | 0.719761i | −0.970442 | − | 0.241334i | \(-0.922415\pi\) |
−0.276220 | + | 0.961094i | \(0.589082\pi\) | |||||||
\(830\) | 7.02113 | − | 30.0186i | 0.243707 | − | 1.04196i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.80591 | − | 6.01729i | 0.0972773 | − | 0.208612i | ||||
\(833\) | −5.50052 | − | 7.85556i | −0.190582 | − | 0.272179i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.9083 | − | 7.44647i | −0.481318 | − | 0.257696i | ||||
\(836\) | − | 30.5957i | − | 1.05817i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.2317 | − | 14.2317i | −0.491627 | − | 0.491627i | ||||
\(839\) | −23.3960 | + | 19.6316i | −0.807719 | + | 0.677757i | −0.950062 | − | 0.312060i | \(-0.898981\pi\) |
0.142343 | + | 0.989817i | \(0.454536\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.03574 | + | 28.5591i | −0.173646 | + | 0.984796i | ||||
\(842\) | 42.3806 | + | 19.7624i | 1.46053 | + | 0.681057i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.99130 | + | 1.58541i | −0.309493 | + | 0.0545720i | ||||
\(845\) | 20.8204 | − | 2.49579i | 0.716243 | − | 0.0858579i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.36113 | + | 5.07982i | 0.0467691 | + | 0.174545i | ||||
\(848\) | 21.6204 | − | 10.0818i | 0.742447 | − | 0.346209i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 31.9195 | − | 2.04801i | 1.09483 | − | 0.0702460i | ||||
\(851\) | −8.49661 | + | 10.1259i | −0.291260 | + | 0.347110i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.7118 | − | 37.9830i | −0.606439 | − | 1.30051i | −0.934536 | − | 0.355869i | \(-0.884185\pi\) |
0.328097 | − | 0.944644i | \(-0.393593\pi\) | |||||||
\(854\) | −24.8527 | + | 43.0461i | −0.850441 | + | 1.47301i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.37865 | + | 16.2443i | 0.320556 | + | 0.555219i | ||||
\(857\) | 0.814484 | − | 1.16320i | 0.0278222 | − | 0.0397343i | −0.805000 | − | 0.593275i | \(-0.797835\pi\) |
0.832822 | + | 0.553541i | \(0.186724\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.27047 | + | 19.9755i | 0.248065 | + | 0.681554i | 0.999757 | + | 0.0220394i | \(0.00701591\pi\) |
−0.751692 | + | 0.659515i | \(0.770762\pi\) | |||||||
\(860\) | −5.21447 | − | 24.8830i | −0.177812 | − | 0.848505i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.29842 | + | 26.2711i | −0.0782845 | + | 0.894796i | ||||
\(863\) | −17.8190 | + | 17.8190i | −0.606565 | + | 0.606565i | −0.942047 | − | 0.335482i | \(-0.891101\pi\) |
0.335482 | + | 0.942047i | \(0.391101\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.70304 | − | 3.08655i | 0.261911 | − | 0.104946i | ||||
\(866\) | −3.10152 | − | 3.69624i | −0.105394 | − | 0.125603i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.71017 | + | 3.99830i | −0.193816 | + | 0.135711i | ||||
\(869\) | 5.93190 | − | 2.15904i | 0.201226 | − | 0.0732403i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.0738790 | + | 0.418989i | 0.00250329 | + | 0.0141969i | ||||
\(872\) | −3.71075 | + | 13.8487i | −0.125662 | + | 0.468976i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.2147 | + | 7.05216i | 0.413168 | + | 0.238543i | ||||
\(875\) | −24.9650 | − | 24.5272i | −0.843970 | − | 0.829172i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.5508 | − | 4.24765i | 1.63944 | − | 0.143433i | 0.770196 | − | 0.637808i | \(-0.220159\pi\) |
0.869249 | + | 0.494375i | \(0.164603\pi\) | |||||||
\(878\) | −45.4435 | + | 3.97579i | −1.53364 | + | 0.134176i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −25.9526 | + | 27.6711i | −0.874863 | + | 0.932794i | ||||
\(881\) | 6.73697 | + | 3.88959i | 0.226974 | + | 0.131044i | 0.609175 | − | 0.793036i | \(-0.291501\pi\) |
−0.382201 | + | 0.924079i | \(0.624834\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.63385 | − | 13.5617i | 0.122289 | − | 0.456388i | −0.877440 | − | 0.479687i | \(-0.840750\pi\) |
0.999729 | + | 0.0232990i | \(0.00741698\pi\) | |||||||
\(884\) | −1.68197 | − | 9.53890i | −0.0565706 | − | 0.320828i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −51.8954 | + | 18.8884i | −1.74346 | + | 0.634568i | ||||
\(887\) | −33.1326 | + | 23.1997i | −1.11248 | + | 0.778969i | −0.977302 | − | 0.211851i | \(-0.932051\pi\) |
−0.135182 | + | 0.990821i | \(0.543162\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.88163 | + | 3.43420i | 0.0966469 | + | 0.115179i | ||||
\(890\) | 13.7648 | + | 34.3525i | 0.461396 | + | 1.15150i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.1256 | − | 10.1256i | 0.339030 | − | 0.339030i | ||||
\(893\) | 5.55471 | − | 63.4906i | 0.185881 | − | 2.12463i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.76825 | + | 10.3570i | −0.226238 | + | 0.346196i | ||||
\(896\) | 7.95805 | + | 21.8646i | 0.265860 | + | 0.730444i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −32.6473 | + | 46.6252i | −1.08946 | + | 1.55590i | ||||
\(899\) | 0.0141311 | + | 0.0244758i | 0.000471299 | + | 0.000816314i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.57825 | − | 14.8580i | 0.285783 | − | 0.494990i | ||||
\(902\) | 27.9321 | + | 59.9005i | 0.930037 | + | 1.99447i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.36988 | + | 5.20782i | −0.145340 | + | 0.173210i | ||||
\(905\) | 15.0847 | + | 29.8166i | 0.501433 | + | 0.991139i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.0475 | + | 6.55044i | −0.466438 | + | 0.217504i | −0.641605 | − | 0.767035i | \(-0.721731\pi\) |
0.175167 | + | 0.984539i | \(0.443953\pi\) | |||||||
\(908\) | −0.351496 | − | 1.31180i | −0.0116648 | − | 0.0435337i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −15.3675 | + | 19.5536i | −0.509428 | + | 0.648195i | ||||
\(911\) | −21.0612 | + | 3.71365i | −0.697788 | + | 0.123039i | −0.511279 | − | 0.859415i | \(-0.670828\pi\) |
−0.186508 | + | 0.982453i | \(0.559717\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 23.8336 | + | 11.1138i | 0.788777 | + | 0.367813i | ||||
\(914\) | −3.03339 | + | 17.2032i | −0.100336 | + | 0.569032i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.38037 | − | 4.51467i | 0.177773 | − | 0.149169i | ||||
\(917\) | −13.4670 | − | 13.4670i | −0.444720 | − | 0.444720i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.8447i | 0.357733i | 0.983873 | + | 0.178867i | \(0.0572431\pi\) | ||||
−0.983873 | + | 0.178867i | \(0.942757\pi\) | |||||||
\(920\) | −0.812770 | − | 2.68600i | −0.0267962 | − | 0.0885547i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −6.93317 | − | 9.90159i | −0.228332 | − | 0.326091i | ||||
\(923\) | −0.398404 | + | 0.854379i | −0.0131136 | + | 0.0281222i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.62970 | − | 50.0287i | −0.250863 | − | 1.64494i | ||||
\(926\) | 21.4947 | − | 12.4100i | 0.706360 | − | 0.407817i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.126959 | + | 0.0340185i | −0.00416762 | + | 0.00111671i | ||||
\(929\) | −27.6616 | − | 10.0680i | −0.907549 | − | 0.330321i | −0.154275 | − | 0.988028i | \(-0.549304\pi\) |
−0.753274 | + | 0.657707i | \(0.771526\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.4024 | + | 10.4068i | 0.406471 | + | 0.341070i | ||||
\(932\) | 0.524079 | + | 5.99025i | 0.0171668 | + | 0.196217i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.9911 | + | 38.4403i | −0.457804 | + | 1.25781i | ||||
\(935\) | −3.87470 | + | 27.0073i | −0.126716 | + | 0.883234i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.22780 | + | 2.47258i | 0.301459 | + | 0.0807757i | 0.406378 | − | 0.913705i | \(-0.366792\pi\) |
−0.104919 | + | 0.994481i | \(0.533458\pi\) | |||||||
\(938\) | 1.07012 | + | 0.749304i | 0.0349405 | + | 0.0244656i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 27.2612 | − | 24.4048i | 0.889163 | − | 0.795997i | ||||
\(941\) | −34.3869 | − | 6.06333i | −1.12098 | − | 0.197659i | −0.417709 | − | 0.908581i | \(-0.637167\pi\) |
−0.703271 | + | 0.710922i | \(0.748278\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.9347 | − | 1.13164i | −0.421213 | − | 0.0368514i | ||||
\(944\) | −26.7228 | −0.869754 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 50.8894 | 1.65456 | ||||||||
\(947\) | 9.06188 | + | 0.792811i | 0.294471 | + | 0.0257629i | 0.233434 | − | 0.972373i | \(-0.425004\pi\) |
0.0610371 | + | 0.998135i | \(0.480559\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.0405 | − | 2.65205i | −0.488237 | − | 0.0860893i | ||||
\(950\) | −51.1571 | + | 17.2870i | −1.65976 | + | 0.560866i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.44340 | + | 5.91213i | 0.273652 | + | 0.191613i | ||||
\(953\) | 6.76251 | + | 1.81201i | 0.219059 | + | 0.0586968i | 0.366679 | − | 0.930347i | \(-0.380495\pi\) |
−0.147620 | + | 0.989044i | \(0.547161\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.74720 | + | 5.00251i | 0.121257 | + | 0.161877i | ||||
\(956\) | −7.38550 | + | 20.2915i | −0.238864 | + | 0.656274i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.58282 | − | 29.5217i | −0.0834470 | − | 0.953803i | ||||
\(959\) | −2.49057 | − | 2.08983i | −0.0804246 | − | 0.0674842i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.0180 | + | 9.83376i | 0.871549 | + | 0.317218i | ||||
\(962\) | −34.7367 | + | 9.30767i | −1.11996 | + | 0.300091i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −20.6702 | + | 11.9340i | −0.665743 | + | 0.384367i | ||||
\(965\) | 22.6079 | − | 14.0370i | 0.727775 | − | 0.451866i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.53995 | − | 11.8805i | 0.178153 | − | 0.382050i | −0.796871 | − | 0.604149i | \(-0.793513\pi\) |
0.975024 | + | 0.222099i | \(0.0712909\pi\) | |||||||
\(968\) | −0.926022 | − | 1.32250i | −0.0297635 | − | 0.0425066i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −30.5800 | + | 9.25338i | −0.981866 | + | 0.297108i | ||||
\(971\) | − | 10.0161i | − | 0.321431i | −0.987001 | − | 0.160716i | \(-0.948620\pi\) | ||
0.987001 | − | 0.160716i | \(-0.0513802\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 42.1362 | + | 42.1362i | 1.35082 | + | 1.35082i | ||||
\(974\) | 19.5766 | − | 16.4268i | 0.627276 | − | 0.526347i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.03707 | − | 39.9092i | 0.225251 | − | 1.27746i | ||||
\(977\) | 32.0639 | + | 14.9516i | 1.02581 | + | 0.478345i | 0.861336 | − | 0.508035i | \(-0.169628\pi\) |
0.164479 | + | 0.986381i | \(0.447406\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −31.0885 | + | 5.48175i | −0.993594 | + | 0.175197i | ||||
\(980\) | 1.10627 | + | 9.22869i | 0.0353384 | + | 0.294800i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.2322 | + | 49.3834i | 0.422258 | + | 1.57589i | ||||
\(983\) | −39.3025 | + | 18.3271i | −1.25356 | + | 0.584543i | −0.932038 | − | 0.362361i | \(-0.881971\pi\) |
−0.321518 | + | 0.946903i | \(0.604193\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.6721 | + | 41.6711i | −0.435629 | + | 1.32775i | ||||
\(986\) | −0.0775089 | + | 0.0923715i | −0.00246839 | + | 0.00294171i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.91088 | + | 14.8204i | 0.219864 | + | 0.471500i | ||||
\(989\) | −4.99869 | + | 8.65798i | −0.158949 | + | 0.275308i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.24550 | − | 3.88933i | −0.0713308 | − | 0.123549i | 0.828154 | − | 0.560501i | \(-0.189391\pi\) |
−0.899485 | + | 0.436952i | \(0.856058\pi\) | |||||||
\(992\) | 5.99658 | − | 8.56400i | 0.190392 | − | 0.271907i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.990017 | + | 2.72005i | 0.0314014 | + | 0.0862747i | ||||
\(995\) | 21.9774 | + | 14.3621i | 0.696731 | + | 0.455310i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.90368 | − | 21.7592i | 0.0602903 | − | 0.689121i | −0.904564 | − | 0.426337i | \(-0.859804\pi\) |
0.964855 | − | 0.262784i | \(-0.0846407\pi\) | |||||||
\(998\) | −5.84148 | + | 5.84148i | −0.184909 | + | 0.184909i | ||||
\(999\) | 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 | 405.2.r.a.368.4 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.113.13 | yes | 192 | ||
5.2 | odd | 4 | inner | 405.2.r.a.287.13 | 192 | ||
15.2 | even | 4 | 135.2.q.a.32.4 | ✓ | 192 | ||
15.8 | even | 4 | 675.2.ba.b.32.13 | 192 | |||
15.14 | odd | 2 | 675.2.ba.b.518.4 | 192 | |||
27.11 | odd | 18 | inner | 405.2.r.a.278.13 | 192 | ||
27.16 | even | 9 | 135.2.q.a.38.4 | yes | 192 | ||
135.43 | odd | 36 | 675.2.ba.b.632.4 | 192 | |||
135.92 | even | 36 | inner | 405.2.r.a.197.4 | 192 | ||
135.97 | odd | 36 | 135.2.q.a.92.13 | yes | 192 | ||
135.124 | even | 18 | 675.2.ba.b.443.13 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.4 | ✓ | 192 | 15.2 | even | 4 | ||
135.2.q.a.38.4 | yes | 192 | 27.16 | even | 9 | ||
135.2.q.a.92.13 | yes | 192 | 135.97 | odd | 36 | ||
135.2.q.a.113.13 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.197.4 | 192 | 135.92 | even | 36 | inner | ||
405.2.r.a.278.13 | 192 | 27.11 | odd | 18 | inner | ||
405.2.r.a.287.13 | 192 | 5.2 | odd | 4 | inner | ||
405.2.r.a.368.4 | 192 | 1.1 | even | 1 | trivial | ||
675.2.ba.b.32.13 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.443.13 | 192 | 135.124 | even | 18 | |||
675.2.ba.b.518.4 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.632.4 | 192 | 135.43 | odd | 36 |