Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(47,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 335.6 | ||
Character | \(\chi\) | \(=\) | 432.335 |
Dual form | 432.2.be.b.383.6 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.48063 | − | 0.898737i | 0.854843 | − | 0.518886i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.357520 | − | 0.982277i | 0.159888 | − | 0.439288i | −0.833718 | − | 0.552190i | \(-0.813792\pi\) |
0.993606 | + | 0.112902i | \(0.0360146\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.862991 | − | 0.152169i | −0.326180 | − | 0.0575143i | 0.00816043 | − | 0.999967i | \(-0.497402\pi\) |
−0.334340 | + | 0.942452i | \(0.608514\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.38454 | − | 2.66140i | 0.461514 | − | 0.887133i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.855132 | − | 0.311243i | 0.257832 | − | 0.0938432i | −0.209870 | − | 0.977729i | \(-0.567304\pi\) |
0.467702 | + | 0.883886i | \(0.345082\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.662306 | − | 0.555741i | 0.183691 | − | 0.154135i | −0.546306 | − | 0.837586i | \(-0.683966\pi\) |
0.729996 | + | 0.683451i | \(0.239522\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.353454 | − | 1.77571i | −0.0912615 | − | 0.458486i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.52256 | − | 2.61110i | 1.09688 | − | 0.633285i | 0.161481 | − | 0.986876i | \(-0.448373\pi\) |
0.935400 | + | 0.353591i | \(0.115040\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.63632 | − | 2.09943i | −0.834228 | − | 0.481642i | 0.0210701 | − | 0.999778i | \(-0.493293\pi\) |
−0.855298 | + | 0.518136i | \(0.826626\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.41453 | + | 0.550297i | −0.308676 | + | 0.120085i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.356585 | + | 2.02229i | 0.0743531 | + | 0.421678i | 0.999150 | + | 0.0412169i | \(0.0131235\pi\) |
−0.924797 | + | 0.380461i | \(0.875765\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.99317 | + | 2.51157i | 0.598635 | + | 0.502314i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.341901 | − | 5.18489i | −0.0657990 | − | 0.997833i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.526265 | − | 0.627178i | 0.0977250 | − | 0.116464i | −0.714965 | − | 0.699160i | \(-0.753558\pi\) |
0.812690 | + | 0.582696i | \(0.198002\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.52362 | + | 1.50294i | −1.53089 | + | 0.269937i | −0.874702 | − | 0.484662i | \(-0.838943\pi\) |
−0.656187 | + | 0.754599i | \(0.727832\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.986410 | − | 1.22937i | 0.171712 | − | 0.214007i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.458008 | + | 0.793293i | −0.0774175 | + | 0.134091i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.44045 | + | 2.49493i | 0.236808 | + | 0.410163i | 0.959797 | − | 0.280697i | \(-0.0905655\pi\) |
−0.722989 | + | 0.690860i | \(0.757232\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.481166 | − | 1.41809i | 0.0770483 | − | 0.227076i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.04026 | + | 6.00675i | 0.787157 | + | 0.938097i | 0.999233 | − | 0.0391564i | \(-0.0124671\pi\) |
−0.212077 | + | 0.977253i | \(0.568023\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.0722797 | + | 0.198587i | 0.0110226 | + | 0.0302842i | 0.945082 | − | 0.326834i | \(-0.105982\pi\) |
−0.934059 | + | 0.357118i | \(0.883759\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.11923 | − | 2.31151i | −0.315916 | − | 0.344579i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.30305 | + | 7.38995i | −0.190069 | + | 1.07794i | 0.729198 | + | 0.684302i | \(0.239893\pi\) |
−0.919268 | + | 0.393633i | \(0.871218\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.85625 | − | 2.13150i | −0.836607 | − | 0.304500i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.34955 | − | 7.93067i | 0.609059 | − | 1.11052i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 8.58900i | − | 1.17979i | −0.807480 | − | 0.589895i | \(-0.799169\pi\) | ||
0.807480 | − | 0.589895i | \(-0.200831\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.951252i | − | 0.128267i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.27088 | + | 0.159613i | −0.963052 | + | 0.0211413i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 11.8016 | + | 4.29544i | 1.53644 | + | 0.559218i | 0.965188 | − | 0.261556i | \(-0.0842358\pi\) |
0.571252 | + | 0.820775i | \(0.306458\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.82666 | + | 10.3595i | −0.233880 | + | 1.32640i | 0.611079 | + | 0.791570i | \(0.290736\pi\) |
−0.844959 | + | 0.534831i | \(0.820375\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.59983 | + | 2.08608i | −0.201560 | + | 0.262821i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.309104 | − | 0.849256i | −0.0383396 | − | 0.105337i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.37313 | − | 1.63643i | −0.167755 | − | 0.199922i | 0.675617 | − | 0.737253i | \(-0.263877\pi\) |
−0.843372 | + | 0.537331i | \(0.819433\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.34548 | + | 2.67380i | 0.282363 | + | 0.321887i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.76808 | + | 3.06241i | 0.209833 | + | 0.363441i | 0.951662 | − | 0.307148i | \(-0.0993747\pi\) |
−0.741829 | + | 0.670589i | \(0.766041\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.656039 | + | 1.13629i | −0.0767835 | + | 0.132993i | −0.901860 | − | 0.432027i | \(-0.857798\pi\) |
0.825077 | + | 0.565020i | \(0.191132\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.68903 | + | 1.02863i | 0.772383 | + | 0.118777i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.785333 | + | 0.138475i | −0.0894970 | + | 0.0157807i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.814135 | + | 0.970249i | −0.0915974 | + | 0.109161i | −0.809896 | − | 0.586573i | \(-0.800477\pi\) |
0.718299 | + | 0.695735i | \(0.244921\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.16609 | − | 7.36964i | −0.574010 | − | 0.818849i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.32579 | + | 7.82526i | 1.02364 | + | 0.858934i | 0.990080 | − | 0.140503i | \(-0.0448718\pi\) |
0.0335576 | + | 0.999437i | \(0.489316\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.947921 | − | 5.37593i | −0.102816 | − | 0.583101i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.215536 | − | 1.40159i | 0.0231079 | − | 0.150267i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.27725 | + | 2.46947i | 0.453388 | + | 0.261764i | 0.709260 | − | 0.704947i | \(-0.249029\pi\) |
−0.255872 | + | 0.966711i | \(0.582363\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.656130 | + | 0.378817i | −0.0687812 | + | 0.0397108i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −11.2696 | + | 9.88581i | −1.16860 | + | 1.02511i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.36228 | + | 2.82128i | −0.344962 | + | 0.289458i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.6037 | + | 4.95134i | −1.38125 | + | 0.502733i | −0.922556 | − | 0.385863i | \(-0.873904\pi\) |
−0.458691 | + | 0.888596i | \(0.651681\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.355626 | − | 2.70678i | 0.0357417 | − | 0.272041i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −17.0598 | − | 3.00811i | −1.69752 | − | 0.299318i | −0.760691 | − | 0.649114i | \(-0.775140\pi\) |
−0.936826 | + | 0.349797i | \(0.886251\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.35114 | + | 11.9547i | −0.428730 | + | 1.17793i | 0.517853 | + | 0.855469i | \(0.326731\pi\) |
−0.946584 | + | 0.322458i | \(0.895491\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.0348210 | + | 1.58620i | 0.00339818 | + | 0.154798i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.72690 | −0.553641 | −0.276820 | − | 0.960922i | \(-0.589281\pi\) | ||||
−0.276820 | + | 0.960922i | \(0.589281\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.7360 | 1.79459 | 0.897294 | − | 0.441434i | \(-0.145530\pi\) | ||||
0.897294 | + | 0.441434i | \(0.145530\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.37505 | + | 2.39948i | 0.415262 | + | 0.227749i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.64000 | + | 7.25335i | −0.248351 | + | 0.682337i | 0.751397 | + | 0.659851i | \(0.229381\pi\) |
−0.999747 | + | 0.0224866i | \(0.992842\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.11394 | + | 0.372745i | 0.197126 | + | 0.0347586i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.562057 | − | 2.53211i | −0.0519622 | − | 0.234093i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.30026 | + | 1.56516i | −0.394204 | + | 0.143478i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.79211 | + | 6.53836i | −0.708374 | + | 0.594396i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 12.8613 | + | 4.36391i | 1.15966 | + | 0.393481i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.06354 | − | 4.65549i | 0.721225 | − | 0.416399i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.3108 | − | 6.53030i | −1.00367 | − | 0.579470i | −0.0943395 | − | 0.995540i | \(-0.530074\pi\) |
−0.909333 | + | 0.416070i | \(0.863407\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.285497 | + | 0.229074i | 0.0251366 | + | 0.0201688i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.97506 | − | 16.8724i | −0.259933 | − | 1.47415i | −0.783087 | − | 0.621913i | \(-0.786356\pi\) |
0.523154 | − | 0.852238i | \(-0.324755\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.81864 | + | 2.36512i | 0.244407 | + | 0.205082i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.21524 | − | 1.51786i | −0.448856 | − | 0.130637i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.25955 | + | 5.07633i | −0.363917 | + | 0.433700i | −0.916670 | − | 0.399646i | \(-0.869133\pi\) |
0.552752 | + | 0.833346i | \(0.313578\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.35032 | − | 0.943406i | 0.453808 | − | 0.0800187i | 0.0579280 | − | 0.998321i | \(-0.481551\pi\) |
0.395880 | + | 0.918302i | \(0.370439\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.71229 | + | 12.1129i | 0.396847 | + | 1.02009i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.393389 | − | 0.681369i | 0.0328968 | − | 0.0569790i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.427913 | − | 0.741167i | −0.0355362 | − | 0.0615506i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −10.5866 | + | 2.10726i | −0.873169 | + | 0.173804i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 9.57370 | + | 11.4095i | 0.784308 | + | 0.934702i | 0.999120 | − | 0.0419534i | \(-0.0133581\pi\) |
−0.214811 | + | 0.976656i | \(0.568914\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.94957 | + | 8.10389i | 0.240033 | + | 0.659485i | 0.999955 | + | 0.00947108i | \(0.00301478\pi\) |
−0.759922 | + | 0.650014i | \(0.774763\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.687507 | − | 15.6515i | −0.0555816 | − | 1.26535i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.57106 | + | 8.90990i | −0.126190 | + | 0.715660i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.78417 | − | 2.46924i | −0.541436 | − | 0.197066i | 0.0568016 | − | 0.998385i | \(-0.481910\pi\) |
−0.598237 | + | 0.801319i | \(0.704132\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.71926 | − | 12.7172i | −0.612177 | − | 1.00854i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 1.79948i | − | 0.141819i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 2.30077i | − | 0.180210i | −0.995932 | − | 0.0901051i | \(-0.971280\pi\) | ||
0.995932 | − | 0.0901051i | \(-0.0287203\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.854926 | − | 1.40845i | −0.0665559 | − | 0.109648i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 16.6973 | + | 6.07731i | 1.29207 | + | 0.470277i | 0.894407 | − | 0.447253i | \(-0.147598\pi\) |
0.397667 | + | 0.917530i | \(0.369820\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.12762 | + | 12.0664i | −0.163663 | + | 0.928182i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −10.6220 | + | 6.77094i | −0.812288 | + | 0.517787i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.83276 | − | 10.5304i | −0.291399 | − | 0.800613i | −0.995863 | − | 0.0908727i | \(-0.971034\pi\) |
0.704463 | − | 0.709741i | \(-0.251188\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.20090 | − | 2.62293i | −0.166372 | − | 0.198275i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 21.3343 | − | 4.24659i | 1.60359 | − | 0.319194i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.9900 | − | 19.0352i | −0.821431 | − | 1.42276i | −0.904616 | − | 0.426227i | \(-0.859843\pi\) |
0.0831849 | − | 0.996534i | \(-0.473491\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.50948 | − | 16.4709i | 0.706834 | − | 1.22427i | −0.259191 | − | 0.965826i | \(-0.583456\pi\) |
0.966025 | − | 0.258447i | \(-0.0832107\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.60588 | + | 16.9803i | 0.488320 | + | 1.25522i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.96570 | − | 0.522932i | 0.218042 | − | 0.0384468i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.05470 | − | 3.64045i | 0.223382 | − | 0.266216i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.493920 | + | 4.52654i | −0.0359274 | + | 0.329258i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.7943 | − | 9.89655i | −0.853402 | − | 0.716089i | 0.107134 | − | 0.994245i | \(-0.465833\pi\) |
−0.960536 | + | 0.278155i | \(0.910277\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.48037 | − | 19.7381i | −0.250522 | − | 1.42078i | −0.807310 | − | 0.590127i | \(-0.799078\pi\) |
0.556788 | − | 0.830655i | \(-0.312034\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.22093 | − | 0.979633i | −0.0874324 | − | 0.0701529i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.20995 | − | 3.58532i | −0.442441 | − | 0.255443i | 0.262192 | − | 0.965016i | \(-0.415555\pi\) |
−0.704632 | + | 0.709572i | \(0.748888\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.1085 | − | 8.72292i | 1.07102 | − | 0.618352i | 0.142558 | − | 0.989787i | \(-0.454467\pi\) |
0.928459 | + | 0.371435i | \(0.121134\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.50382 | − | 1.18887i | −0.247141 | − | 0.0838565i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.549599 | + | 0.461168i | −0.0385743 | + | 0.0323677i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.70229 | − | 2.80340i | 0.537951 | − | 0.195798i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.87584 | + | 1.85094i | 0.408399 | + | 0.128649i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.76296 | − | 0.663512i | −0.260289 | − | 0.0458961i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.945207 | − | 2.59694i | 0.0650708 | − | 0.178780i | −0.902896 | − | 0.429859i | \(-0.858563\pi\) |
0.967967 | + | 0.251079i | \(0.0807854\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.37018 | + | 2.94526i | 0.367959 | + | 0.201806i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.220909 | 0.0150659 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.58451 | 0.514870 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.0498766 | + | 2.27204i | 0.00337035 | + | 0.153530i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.54422 | − | 4.24272i | 0.103876 | − | 0.285396i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 24.2380 | + | 4.27381i | 1.62309 | + | 0.286195i | 0.909918 | − | 0.414789i | \(-0.136145\pi\) |
0.713177 | + | 0.700984i | \(0.247256\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 10.8285 | − | 4.48865i | 0.721898 | − | 0.299244i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.15263 | + | 1.51143i | −0.275620 | + | 0.100317i | −0.476132 | − | 0.879374i | \(-0.657962\pi\) |
0.200512 | + | 0.979691i | \(0.435739\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.7629 | − | 11.5484i | 0.909477 | − | 0.763142i | −0.0625423 | − | 0.998042i | \(-0.519921\pi\) |
0.972019 | + | 0.234900i | \(0.0754764\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.03834 | + | 0.910839i | −0.0683175 | + | 0.0599288i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.65324 | − | 4.99595i | 0.566893 | − | 0.327296i | −0.189015 | − | 0.981974i | \(-0.560529\pi\) |
0.755907 | + | 0.654679i | \(0.227196\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.79312 | + | 3.92201i | 0.443134 | + | 0.255844i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.333436 | + | 2.16827i | −0.0216590 | + | 0.140845i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.63317 | − | 26.2760i | −0.299695 | − | 1.69965i | −0.647482 | − | 0.762080i | \(-0.724178\pi\) |
0.347787 | − | 0.937573i | \(-0.386933\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.01164 | − | 4.20527i | −0.322828 | − | 0.270885i | 0.466942 | − | 0.884288i | \(-0.345356\pi\) |
−0.789770 | + | 0.613403i | \(0.789800\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.2724 | − | 6.26876i | −0.915578 | − | 0.402141i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.18745 | + | 4.99041i | −0.267526 | + | 0.318825i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.57509 | + | 0.630385i | −0.227478 | + | 0.0401104i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 20.8409 | + | 3.20490i | 1.32074 | + | 0.203102i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.963757 | + | 1.66928i | −0.0608318 | + | 0.105364i | −0.894837 | − | 0.446392i | \(-0.852709\pi\) |
0.834006 | + | 0.551756i | \(0.186042\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.934352 | + | 1.61834i | 0.0587422 | + | 0.101744i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.23507 | − | 7.10784i | −0.390455 | − | 0.445110i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 19.6622 | + | 23.4325i | 1.22649 | + | 1.46168i | 0.842807 | + | 0.538215i | \(0.180901\pi\) |
0.383687 | + | 0.923463i | \(0.374654\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.863443 | − | 2.37229i | −0.0536517 | − | 0.147407i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.940535 | − | 2.26896i | −0.0582177 | − | 0.140445i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.25823 | − | 12.8071i | 0.139249 | − | 0.789718i | −0.832558 | − | 0.553938i | \(-0.813124\pi\) |
0.971807 | − | 0.235780i | \(-0.0757644\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.43678 | − | 3.07074i | −0.518267 | − | 0.188634i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.55245 | − | 0.187747i | 0.523401 | − | 0.0114899i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 12.5617i | − | 0.765899i | −0.923769 | − | 0.382950i | \(-0.874908\pi\) | ||
0.923769 | − | 0.382950i | \(-0.125092\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 22.0527i | − | 1.33961i | −0.742539 | − | 0.669803i | \(-0.766379\pi\) | ||
0.742539 | − | 0.669803i | \(-0.233621\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.631031 | + | 1.15058i | −0.0381917 | + | 0.0696361i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.34127 | + | 1.21612i | 0.201486 | + | 0.0733349i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.542604 | − | 3.07726i | 0.0326019 | − | 0.184895i | −0.964158 | − | 0.265329i | \(-0.914520\pi\) |
0.996760 | + | 0.0804340i | \(0.0256306\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.80138 | + | 24.7657i | −0.467056 | + | 1.48268i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.09238 | − | 5.74876i | −0.124821 | − | 0.342942i | 0.861505 | − | 0.507749i | \(-0.169522\pi\) |
−0.986326 | + | 0.164807i | \(0.947300\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.26570 | + | 11.0424i | 0.550789 | + | 0.656404i | 0.967570 | − | 0.252602i | \(-0.0812864\pi\) |
−0.416781 | + | 0.909007i | \(0.636842\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.44270 | + | 7.19909i | −0.144693 | + | 0.426437i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.43566 | − | 5.95074i | −0.202801 | − | 0.351261i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.13568 | − | 8.89527i | 0.302099 | − | 0.523251i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −15.6921 | + | 19.5573i | −0.919888 | + | 1.14647i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −28.7692 | + | 5.07278i | −1.68071 | + | 0.296355i | −0.930895 | − | 0.365288i | \(-0.880971\pi\) |
−0.749819 | + | 0.661643i | \(0.769860\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.43862 | − | 10.0568i | 0.491316 | − | 0.585527i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.90613 | − | 4.32735i | −0.110605 | − | 0.251098i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.36004 | + | 1.14121i | 0.0786531 | + | 0.0659978i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0321581 | − | 0.182378i | −0.00185356 | − | 0.0105121i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −27.9628 | + | 10.8784i | −1.60642 | + | 0.624948i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.52286 | + | 5.49802i | 0.545277 | + | 0.314816i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.30538 | + | 3.06306i | −0.302794 | + | 0.174818i | −0.643697 | − | 0.765280i | \(-0.722600\pi\) |
0.340903 | + | 0.940098i | \(0.389267\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.30166 | + | 21.6110i | 0.244713 | + | 1.22941i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −20.5489 | + | 17.2426i | −1.16522 | + | 0.977739i | −0.999964 | − | 0.00851113i | \(-0.997291\pi\) |
−0.165260 | + | 0.986250i | \(0.552846\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.31736 | + | 3.02727i | −0.470125 | + | 0.171111i | −0.566209 | − | 0.824262i | \(-0.691590\pi\) |
0.0960841 | + | 0.995373i | \(0.469368\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.47714 | + | 2.31729i | 0.0832273 | + | 0.130565i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −16.2536 | − | 2.86595i | −0.912894 | − | 0.160968i | −0.302577 | − | 0.953125i | \(-0.597847\pi\) |
−0.610317 | + | 0.792157i | \(0.708958\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.254821 | − | 0.700116i | 0.0142673 | − | 0.0391990i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.47944 | + | 5.14698i | −0.473276 | + | 0.287277i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.9273 | −1.22007 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.37818 | 0.187388 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 27.7412 | − | 16.8388i | 1.53409 | − | 0.931187i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.24904 | − | 6.17918i | 0.123994 | − | 0.340669i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.90388 | − | 0.335705i | −0.104646 | − | 0.0184520i | 0.121080 | − | 0.992643i | \(-0.461364\pi\) |
−0.225726 | + | 0.974191i | \(0.572475\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.63435 | − | 0.379272i | 0.473160 | − | 0.0207840i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.09835 | + | 0.763738i | −0.114645 | + | 0.0417274i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.93398 | + | 4.97920i | −0.323244 | + | 0.271234i | −0.789941 | − | 0.613183i | \(-0.789889\pi\) |
0.466696 | + | 0.884418i | \(0.345444\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.60998 | + | 13.1122i | 0.141755 | + | 0.712157i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.82104 | + | 3.93813i | −0.369380 | + | 0.213262i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0419 | + | 5.79767i | 0.542209 | + | 0.313045i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.46497 | − | 1.34798i | 0.186548 | − | 0.0725728i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.62921 | − | 20.5823i | −0.194826 | − | 1.10491i | −0.912666 | − | 0.408706i | \(-0.865980\pi\) |
0.717840 | − | 0.696208i | \(-0.245131\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.68709 | + | 3.09384i | 0.197365 | + | 0.165609i | 0.736115 | − | 0.676857i | \(-0.236658\pi\) |
−0.538749 | + | 0.842466i | \(0.681103\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.10790 | − | 3.24398i | −0.165887 | − | 0.173151i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −18.0088 | + | 21.4620i | −0.958510 | + | 1.14231i | 0.0312417 | + | 0.999512i | \(0.490054\pi\) |
−0.989752 | + | 0.142796i | \(0.954391\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.64026 | − | 0.641876i | 0.193205 | − | 0.0340672i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.96042 | + | 6.18223i | −0.262533 | + | 0.327198i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 14.8329 | − | 25.6913i | 0.782849 | − | 1.35593i | −0.147427 | − | 0.989073i | \(-0.547099\pi\) |
0.930276 | − | 0.366861i | \(-0.119568\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.684806 | − | 1.18612i | −0.0360424 | − | 0.0624273i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.66098 | + | 16.6840i | −0.297124 | + | 0.875681i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.881607 | + | 1.05066i | 0.0461454 | + | 0.0549940i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.16356 | + | 14.1868i | 0.269536 | + | 0.740543i | 0.998435 | + | 0.0559224i | \(0.0178099\pi\) |
−0.728899 | + | 0.684621i | \(0.759968\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 22.9648 | − | 5.09755i | 1.19550 | − | 0.265368i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.30698 | + | 7.41223i | −0.0678549 | + | 0.384824i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.0141 | − | 4.00882i | −0.570291 | − | 0.207569i | 0.0407481 | − | 0.999169i | \(-0.487026\pi\) |
−0.611039 | + | 0.791601i | \(0.709248\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.75507 | − | 14.1401i | 0.400470 | − | 0.730190i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 0.707851i | − | 0.0364562i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.9951i | 1.12981i | 0.825155 | + | 0.564906i | \(0.191087\pi\) | ||||
−0.825155 | + | 0.564906i | \(0.808913\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −22.6162 | + | 0.496479i | −1.15866 | + | 0.0254354i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 17.1381 | + | 6.23776i | 0.875716 | + | 0.318735i | 0.740480 | − | 0.672079i | \(-0.234598\pi\) |
0.135236 | + | 0.990813i | \(0.456821\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.144751 | + | 0.820922i | −0.00737718 | + | 0.0418381i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.628593 | + | 0.0825868i | 0.0319532 | + | 0.00419812i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.30124 | + | 11.8176i | 0.218082 | + | 0.599174i | 0.999698 | − | 0.0245854i | \(-0.00782655\pi\) |
−0.781616 | + | 0.623760i | \(0.785604\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.89309 | + | 8.21487i | 0.348599 | + | 0.415444i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −19.5689 | − | 22.3081i | −0.987118 | − | 1.12529i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.661984 | + | 1.14659i | 0.0333080 | + | 0.0576912i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.83557 | + | 8.37546i | −0.242690 | + | 0.420352i | −0.961480 | − | 0.274876i | \(-0.911363\pi\) |
0.718789 | + | 0.695228i | \(0.244697\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.29899 | + | 0.968655i | 0.315344 | + | 0.0484934i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.9107 | + | 4.21610i | −1.19404 | + | 0.210542i | −0.735122 | − | 0.677935i | \(-0.762875\pi\) |
−0.458921 | + | 0.888477i | \(0.651764\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.81000 | + | 5.73233i | −0.239603 | + | 0.285548i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −9.08601 | + | 2.43974i | −0.451487 | + | 0.121232i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.00830 | + | 1.68516i | 0.0995477 | + | 0.0835304i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.524727 | + | 2.97587i | 0.0259461 | + | 0.147148i | 0.995029 | − | 0.0995891i | \(-0.0317528\pi\) |
−0.969083 | + | 0.246737i | \(0.920642\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.74453 | + | 11.3444i | −0.0860514 | + | 0.559577i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −9.53106 | − | 5.50276i | −0.468993 | − | 0.270773i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.0207 | − | 6.36282i | 0.540986 | − | 0.312339i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.07398 | − | 6.20537i | 0.346414 | − | 0.303878i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.03376 | + | 3.38472i | −0.197062 | + | 0.165355i | −0.735979 | − | 0.677004i | \(-0.763278\pi\) |
0.538917 | + | 0.842359i | \(0.318834\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.10173 | + | 0.764966i | −0.102432 | + | 0.0372822i | −0.392728 | − | 0.919655i | \(-0.628469\pi\) |
0.290296 | + | 0.956937i | \(0.406246\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.8635 | + | 13.6996i | 0.868553 | + | 0.666099i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 20.0948 | + | 3.54325i | 0.974739 | + | 0.171873i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.15279 | − | 8.66222i | 0.152574 | − | 0.419194i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.0299081 | − | 1.36241i | −0.00144398 | − | 0.0657778i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.1724 | 0.778995 | 0.389498 | − | 0.921028i | \(-0.372649\pi\) | ||||
0.389498 | + | 0.921028i | \(0.372649\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −24.5777 | −1.18113 | −0.590564 | − | 0.806991i | \(-0.701094\pi\) | ||||
−0.590564 | + | 0.806991i | \(0.701094\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.29970 | − | 0.712814i | −0.0623156 | − | 0.0341768i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.94901 | − | 8.10233i | 0.141070 | − | 0.387587i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.9050 | + | 2.09917i | 0.568195 | + | 0.100188i | 0.450363 | − | 0.892845i | \(-0.351295\pi\) |
0.117832 | + | 0.993034i | \(0.462406\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −13.7810 | + | 12.6347i | −0.656238 | + | 0.601651i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.19218 | − | 0.433918i | 0.0566422 | − | 0.0206161i | −0.313544 | − | 0.949574i | \(-0.601516\pi\) |
0.370186 | + | 0.928958i | \(0.379294\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.95491 | − | 3.31856i | 0.187481 | − | 0.157315i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 24.4293 | + | 8.28902i | 1.15546 | + | 0.392057i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −12.4201 | + | 7.17076i | −0.586142 | + | 0.338409i | −0.763570 | − | 0.645724i | \(-0.776555\pi\) |
0.177429 | + | 0.984134i | \(0.443222\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.17964 | + | 3.56782i | 0.290988 | + | 0.168002i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 11.6505 | + | 9.34798i | 0.547388 | + | 0.439207i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.137524 | + | 0.779937i | 0.00644722 | + | 0.0365640i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.18801 | + | 1.83596i | 0.102351 | + | 0.0858825i | 0.692527 | − | 0.721392i | \(-0.256497\pi\) |
−0.590176 | + | 0.807274i | \(0.700942\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −15.0845 | − | 22.5562i | −0.704086 | − | 1.05283i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.1365 | − | 19.2307i | 0.751551 | − | 0.895664i | −0.245731 | − | 0.969338i | \(-0.579028\pi\) |
0.997282 | + | 0.0736740i | \(0.0234724\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.9130 | + | 3.86385i | −1.01838 | + | 0.179568i | −0.657827 | − | 0.753169i | \(-0.728524\pi\) |
−0.360556 | + | 0.932738i | \(0.617413\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.68150 | + | 14.6042i | 0.263473 | + | 0.677256i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.0152 | + | 27.7392i | −0.741097 | + | 1.28362i | 0.210899 | + | 0.977508i | \(0.432361\pi\) |
−0.951996 | + | 0.306110i | \(0.900972\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.935986 | + | 1.62117i | 0.0432198 | + | 0.0748589i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −12.2641 | + | 2.44116i | −0.565098 | + | 0.112483i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.123617 | + | 0.147322i | 0.00568394 | + | 0.00677385i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.61126 | − | 15.4168i | −0.257462 | − | 0.707372i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −22.8588 | − | 11.8918i | −1.04663 | − | 0.544490i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.52904 | − | 25.6855i | 0.206937 | − | 1.17360i | −0.687425 | − | 0.726256i | \(-0.741259\pi\) |
0.894362 | − | 0.447344i | \(-0.147630\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.34055 | + | 0.851890i | 0.106720 | + | 0.0388428i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.61726 | − | 2.66437i | −0.0735880 | − | 0.121233i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 15.1328i | 0.687145i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 12.8151i | − | 0.580706i | −0.956920 | − | 0.290353i | \(-0.906227\pi\) | ||
0.956920 | − | 0.290353i | \(-0.0937727\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.06779 | − | 3.40659i | −0.0935086 | − | 0.154051i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 32.9705 | + | 12.0003i | 1.48794 | + | 0.541566i | 0.952906 | − | 0.303266i | \(-0.0980769\pi\) |
0.535033 | + | 0.844831i | \(0.320299\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.742439 | − | 4.21058i | 0.0334378 | − | 0.189635i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.53166 | − | 1.31705i | −0.113790 | − | 0.0591969i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.05984 | − | 2.91188i | −0.0475402 | − | 0.130616i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.47692 | − | 4.14363i | −0.155648 | − | 0.185494i | 0.682585 | − | 0.730806i | \(-0.260856\pi\) |
−0.838233 | + | 0.545312i | \(0.816411\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 30.1844 | − | 6.00821i | 1.34854 | − | 0.268427i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.89978 | + | 15.4149i | 0.396822 | + | 0.687315i | 0.993332 | − | 0.115290i | \(-0.0367798\pi\) |
−0.596510 | + | 0.802606i | \(0.703446\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.05402 | + | 15.6820i | −0.402899 | + | 0.697841i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.69426 | + | 19.7780i | 0.341714 | + | 0.878372i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 4.55607 | − | 0.803358i | 0.201944 | − | 0.0356082i | −0.0717610 | − | 0.997422i | \(-0.522862\pi\) |
0.273705 | + | 0.961814i | \(0.411751\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.739064 | − | 0.880782i | 0.0326942 | − | 0.0389635i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.64204 | + | 19.5717i | −0.425707 | + | 0.864112i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.1872 | + | 8.54805i | 0.448900 | + | 0.376672i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.18579 | + | 6.72495i | 0.0521510 | + | 0.295763i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.1390 | − | 12.1470i | −0.664528 | − | 0.533196i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.04248 | − | 3.48863i | −0.264726 | − | 0.152839i | 0.361763 | − | 0.932270i | \(-0.382175\pi\) |
−0.626488 | + | 0.779431i | \(0.715508\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.9008 | + | 17.2632i | −1.30747 | + | 0.754869i | −0.981673 | − | 0.190571i | \(-0.938966\pi\) |
−0.325798 | + | 0.945440i | \(0.605633\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.61605 | − | 1.90556i | −0.245104 | − | 0.0831656i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −34.6242 | + | 29.0532i | −1.50826 | + | 1.26558i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.6504 | − | 6.42422i | 0.767409 | − | 0.279314i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 27.7717 | − | 25.4616i | 1.20519 | − | 1.10494i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.67639 | + | 1.17723i | 0.289186 | + | 0.0509914i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.04748 | + | 5.62541i | −0.0885203 | + | 0.243208i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −33.3798 | − | 18.3071i | −1.44045 | − | 0.790008i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.67128 | −0.244279 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.84296 | −0.337195 | −0.168598 | − | 0.985685i | \(-0.553924\pi\) | ||||
−0.168598 | + | 0.985685i | \(0.553924\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.722977 | − | 32.9339i | −0.0310259 | − | 1.41333i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.69851 | − | 18.4040i | 0.286932 | − | 0.788340i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −44.9004 | − | 7.91716i | −1.91980 | − | 0.338513i | −0.921097 | − | 0.389334i | \(-0.872705\pi\) |
−0.998708 | + | 0.0508207i | \(0.983816\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 25.0417 | + | 19.2047i | 1.06875 | + | 0.819636i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.23038 | + | 1.17576i | −0.137619 | + | 0.0500892i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.850233 | − | 0.713430i | 0.0361556 | − | 0.0303381i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.92113 | − | 3.43965i | 0.166443 | − | 0.146005i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 15.3982 | − | 8.89017i | 0.652444 | − | 0.376689i | −0.136948 | − | 0.990578i | \(-0.543729\pi\) |
0.789392 | + | 0.613890i | \(0.210396\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.158234 | + | 0.0913565i | 0.00669259 | + | 0.00386397i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.25108 | − | 8.13553i | 0.0528205 | − | 0.343483i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.94955 | − | 33.7416i | −0.250744 | − | 1.42204i | −0.806766 | − | 0.590871i | \(-0.798784\pi\) |
0.556022 | − | 0.831167i | \(-0.312327\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.18095 | + | 5.18643i | 0.260034 | + | 0.218195i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.33686 | + | 7.14605i | 0.140135 | + | 0.300106i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.97000 | − | 9.49828i | 0.334120 | − | 0.398189i | −0.572660 | − | 0.819793i | \(-0.694088\pi\) |
0.906780 | + | 0.421604i | \(0.138533\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 31.1551 | − | 5.49348i | 1.30380 | − | 0.229895i | 0.521743 | − | 0.853103i | \(-0.325282\pi\) |
0.782056 | + | 0.623208i | \(0.214171\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −26.3573 | − | 4.05322i | −1.10109 | − | 0.169326i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.01182 | + | 6.94867i | −0.167304 | + | 0.289780i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.81116 | + | 3.13703i | 0.0753997 | + | 0.130596i | 0.901260 | − | 0.433279i | \(-0.142643\pi\) |
−0.825860 | + | 0.563875i | \(0.809310\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −22.8925 | − | 26.0970i | −0.951381 | − | 1.08455i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.85731 | − | 8.17223i | −0.284489 | − | 0.339041i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.67326 | − | 7.34473i | −0.110715 | − | 0.304188i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.68818 | − | 0.353182i | −0.111142 | − | 0.0146023i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.78428 | + | 27.1330i | −0.197468 | + | 1.11990i | 0.711391 | + | 0.702797i | \(0.248066\pi\) |
−0.908859 | + | 0.417103i | \(0.863046\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 34.1499 | + | 12.4296i | 1.40712 | + | 0.512151i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −12.4169 | + | 0.272581i | −0.510764 | + | 0.0112125i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 10.7012i | 0.439445i | 0.975562 | + | 0.219723i | \(0.0705152\pi\) | ||||
−0.975562 | + | 0.219723i | \(0.929485\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.78362i | 0.196109i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 14.5306 | − | 26.4941i | 0.594697 | − | 1.08433i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11.5378 | + | 4.19943i | 0.471423 | + | 0.171584i | 0.566797 | − | 0.823858i | \(-0.308182\pi\) |
−0.0953740 | + | 0.995442i | \(0.530405\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.12791 | − | 6.39667i | 0.0460082 | − | 0.260926i | −0.953124 | − | 0.302581i | \(-0.902152\pi\) |
0.999132 | + | 0.0416548i | \(0.0132630\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.25636 | + | 1.38874i | −0.254779 | + | 0.0565537i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.63665 | + | 9.99161i | 0.147851 | + | 0.406217i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −25.3826 | − | 30.2499i | −1.03025 | − | 1.22780i | −0.973326 | − | 0.229425i | \(-0.926315\pi\) |
−0.0569233 | − | 0.998379i | \(-0.518129\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.399285 | + | 1.17677i | −0.0161798 | + | 0.0476850i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.24388 | + | 5.61857i | 0.131233 | + | 0.227303i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.172794 | − | 0.299289i | 0.00697910 | − | 0.0120882i | −0.862515 | − | 0.506032i | \(-0.831112\pi\) |
0.869494 | + | 0.493944i | \(0.164445\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.88473 | − | 11.0731i | 0.358267 | − | 0.446512i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.0241 | − | 1.94385i | 0.443814 | − | 0.0782564i | 0.0527246 | − | 0.998609i | \(-0.483209\pi\) |
0.391089 | + | 0.920353i | \(0.372098\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.45918 | + | 7.69775i | −0.259616 | + | 0.309399i | −0.880070 | − | 0.474845i | \(-0.842504\pi\) |
0.620453 | + | 0.784243i | \(0.286949\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 10.3635 | − | 2.54028i | 0.415871 | − | 0.101938i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.31546 | − | 2.78200i | −0.132831 | − | 0.111458i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.70238 | + | 9.65469i | 0.0680953 | + | 0.386188i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.16788 | + | 2.39950i | −0.246322 | + | 0.0958267i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.0290 | + | 7.52230i | 0.519500 | + | 0.299934i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.2407 | + | 17.4595i | −1.20386 | + | 0.695050i | −0.961412 | − | 0.275113i | \(-0.911285\pi\) |
−0.242451 | + | 0.970164i | \(0.577951\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.934459 | − | 4.69460i | −0.0371414 | − | 0.186594i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −10.4584 | + | 8.77564i | −0.415029 | + | 0.348251i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.06319 | + | 1.84285i | −0.200611 | + | 0.0730164i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.5983 | − | 0.465539i | 0.419261 | − | 0.0184164i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 36.8418 | + | 6.49620i | 1.45516 | + | 0.256585i | 0.844606 | − | 0.535388i | \(-0.179834\pi\) |
0.610557 | + | 0.791972i | \(0.290946\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.88367 | − | 7.92281i | 0.113721 | − | 0.312445i | −0.869755 | − | 0.493483i | \(-0.835723\pi\) |
0.983476 | + | 0.181038i | \(0.0579457\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.327085 | − | 0.198539i | 0.0128790 | − | 0.00781747i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 34.7421 | 1.36585 | 0.682927 | − | 0.730487i | \(-0.260707\pi\) | ||||
0.682927 | + | 0.730487i | \(0.260707\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.4289 | 0.448622 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 11.2299 | − | 6.81649i | 0.440133 | − | 0.267159i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12.1343 | − | 33.3388i | 0.474853 | − | 1.30465i | −0.438958 | − | 0.898508i | \(-0.644652\pi\) |
0.913811 | − | 0.406140i | \(-0.133126\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.6370 | − | 3.10989i | −0.689136 | − | 0.121513i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.11581 | + | 3.31922i | 0.0825458 | + | 0.129495i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 23.3441 | − | 8.49655i | 0.909356 | − | 0.330978i | 0.155360 | − | 0.987858i | \(-0.450346\pi\) |
0.753996 | + | 0.656879i | \(0.228124\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.4085 | + | 17.1248i | −0.793800 | + | 0.666078i | −0.946683 | − | 0.322167i | \(-0.895589\pi\) |
0.152883 | + | 0.988244i | \(0.451144\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.52666 | − | 7.66975i | −0.0592907 | − | 0.297868i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.33092 | − | 1.92311i | 0.129168 | − | 0.0745750i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.45600 | + | 0.840621i | 0.0563765 | + | 0.0325490i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 39.7285 | − | 15.4556i | 1.53599 | − | 0.597549i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.66229 | + | 9.42729i | 0.0641719 | + | 0.363937i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.2278 | − | 16.9732i | −0.779726 | − | 0.654267i | 0.163454 | − | 0.986551i | \(-0.447736\pi\) |
−0.943180 | + | 0.332284i | \(0.892181\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 11.9989 | − | 16.3780i | 0.461836 | − | 0.630389i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 19.7326 | − | 23.5164i | 0.758385 | − | 0.903808i | −0.239360 | − | 0.970931i | \(-0.576938\pi\) |
0.997745 | + | 0.0671230i | \(0.0213820\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.4933 | − | 2.20291i | 0.479449 | − | 0.0845399i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.79013 | + | 5.97000i | −0.183558 | + | 0.228771i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.64903 | − | 6.32031i | 0.139626 | − | 0.241840i | −0.787729 | − | 0.616022i | \(-0.788743\pi\) |
0.927355 | + | 0.374182i | \(0.122077\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.46349 | + | 5.99894i | 0.132333 | + | 0.229208i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.99876 | − | 29.4682i | 0.381477 | − | 1.12428i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.77326 | − | 5.68855i | −0.181847 | − | 0.216716i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.71959 | − | 21.2094i | −0.293667 | − | 0.806843i | −0.995523 | − | 0.0945240i | \(-0.969867\pi\) |
0.701856 | − | 0.712319i | \(-0.252355\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.718788 | + | 2.28181i | −0.0273045 | + | 0.0866787i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.986159 | − | 5.59279i | 0.0374072 | − | 0.212147i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 38.4791 | + | 14.0052i | 1.45750 | + | 0.530486i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.32222 | − | 15.1742i | 0.314775 | − | 0.573940i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 17.4254i | 0.658149i | 0.944304 | + | 0.329075i | \(0.106737\pi\) | ||||
−0.944304 | + | 0.329075i | \(0.893263\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 12.0965i | − | 0.456226i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 13.5830 | − | 0.298178i | 0.511564 | − | 0.0112300i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 14.2647 | + | 5.19194i | 0.536481 | + | 0.195263i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.38273 | − | 41.8695i | 0.277264 | − | 1.57244i | −0.454413 | − | 0.890791i | \(-0.650151\pi\) |
0.731677 | − | 0.681652i | \(-0.238738\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.45501 | + | 3.51009i | 0.0545673 | + | 0.131639i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.07880 | − | 16.7014i | −0.227653 | − | 0.625471i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.528649 | − | 0.630020i | −0.0197704 | − | 0.0235614i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −30.4753 | − | 34.7411i | −1.13812 | − | 1.29743i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 15.9720 | + | 27.6643i | 0.595655 | + | 1.03170i | 0.993454 | + | 0.114232i | \(0.0364407\pi\) |
−0.397799 | + | 0.917472i | \(0.630226\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.57412 | − | 9.65466i | 0.207591 | − | 0.359558i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −11.1998 | − | 1.72230i | −0.416526 | − | 0.0640531i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.15041 | − | 0.555501i | 0.117003 | − | 0.0206308i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.2524 | + | 25.3276i | −0.788207 | + | 0.939348i | −0.999273 | − | 0.0381237i | \(-0.987862\pi\) |
0.211066 | + | 0.977472i | \(0.432306\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.7662 | + | 3.54544i | −0.991341 | + | 0.131313i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.845420 | + | 0.709391i | 0.0312690 | + | 0.0262378i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.27308 | + | 41.2477i | 0.268637 | + | 1.52352i | 0.758473 | + | 0.651704i | \(0.225946\pi\) |
−0.489836 | + | 0.871815i | \(0.662943\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.71501 | + | 11.1524i | −0.0632589 | + | 0.411362i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.68353 | − | 0.971989i | −0.0620138 | − | 0.0358037i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.0221 | − | 10.4051i | 0.662953 | − | 0.382756i | −0.130448 | − | 0.991455i | \(-0.541642\pi\) |
0.793401 | + | 0.608699i | \(0.208308\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.72684 | + | 4.14644i | −0.173645 | + | 0.152323i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.8189 | + | 29.2165i | −1.27738 | + | 1.07185i | −0.283783 | + | 0.958888i | \(0.591590\pi\) |
−0.993599 | + | 0.112963i | \(0.963966\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.6301 | − | 5.32491i | 0.536004 | − | 0.195090i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 33.7381 | − | 13.9852i | 1.23441 | − | 0.511693i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.94227 | + | 0.871455i | 0.180587 | + | 0.0318423i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.29032 | + | 22.7775i | −0.302518 | + | 0.831162i | 0.691543 | + | 0.722336i | \(0.256931\pi\) |
−0.994061 | + | 0.108826i | \(0.965291\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.0732715 | + | 3.33775i | 0.00267016 | + | 0.121634i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.01480 | 0.328082 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −52.0732 | −1.89263 | −0.946317 | − | 0.323240i | \(-0.895228\pi\) | ||||
−0.946317 | + | 0.323240i | \(0.895228\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.83790 | + | 1.55644i | 0.103009 | + | 0.0564950i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 15.6086 | − | 42.8843i | 0.565811 | − | 1.55455i | −0.245170 | − | 0.969480i | \(-0.578844\pi\) |
0.810981 | − | 0.585073i | \(-0.198934\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.1690 | − | 2.85104i | −0.585359 | − | 0.103215i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −15.6199 | − | 4.92040i | −0.564739 | − | 0.177897i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 10.2034 | − | 3.71374i | 0.368425 | − | 0.134096i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.50115 | − | 7.97241i | 0.342620 | − | 0.287493i | −0.455198 | − | 0.890390i | \(-0.650432\pi\) |
0.797819 | + | 0.602897i | \(0.205987\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 50.1721 | + | 17.0237i | 1.80691 | + | 0.613095i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −40.5127 | + | 23.3900i | −1.45714 | + | 0.841280i | −0.998870 | − | 0.0475339i | \(-0.984864\pi\) |
−0.458269 | + | 0.888813i | \(0.651530\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.2874 | − | 16.9091i | −1.05204 | − | 0.607393i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.41051 | − | 2.73648i | −0.122351 | − | 0.0981707i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.71724 | − | 32.4241i | −0.204842 | − | 1.16171i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.46509 | + | 2.06846i | 0.0882080 | + | 0.0740153i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.43178 | − | 2.51419i | −0.122642 | − | 0.0898500i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.85095 | + | 5.78114i | −0.173138 | + | 0.206338i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.7690 | + | 3.48581i | −0.704690 | + | 0.124256i | −0.514499 | − | 0.857491i | \(-0.672022\pi\) |
−0.190191 | + | 0.981747i | \(0.560911\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −8.16658 | − | 20.9921i | −0.290738 | − | 0.747339i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.38203 | − | 5.85785i | 0.120251 | − | 0.208281i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.54740 | + | 7.87632i | 0.161483 | + | 0.279696i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −15.2516 | + | 3.03582i | −0.540917 | + | 0.107669i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.88321 | + | 9.39484i | 0.279238 | + | 0.332782i | 0.887374 | − | 0.461050i | \(-0.152527\pi\) |
−0.608137 | + | 0.793832i | \(0.708083\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.4028 | + | 36.8239i | 0.474157 | + | 1.30274i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.4943 | − | 7.96439i | 0.441464 | − | 0.281408i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.207337 | + | 1.17587i | −0.00731677 | + | 0.0414954i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.76759 | − | 0.643351i | −0.0622994 | − | 0.0226751i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −11.2897 | − | 18.5992i | −0.397415 | − | 0.654724i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 8.67342i | − | 0.304941i | −0.988308 | − | 0.152471i | \(-0.951277\pi\) | ||
0.988308 | − | 0.152471i | \(-0.0487230\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 47.3956i | 1.66428i | 0.554562 | + | 0.832142i | \(0.312886\pi\) | ||||
−0.554562 | + | 0.832142i | \(0.687114\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.8196 | − | 32.6519i | −0.695103 | − | 1.14515i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.25999 | − | 0.822570i | −0.0791641 | − | 0.0288134i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.154087 | − | 0.873871i | 0.00539082 | − | 0.0305729i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.0997431 | + | 2.27071i | 0.00348531 | + | 0.0793451i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 16.6304 | + | 45.6917i | 0.580405 | + | 1.59465i | 0.787490 | + | 0.616327i | \(0.211380\pi\) |
−0.207085 | + | 0.978323i | \(0.566398\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.91567 | − | 3.47476i | −0.101634 | − | 0.121122i | 0.712830 | − | 0.701337i | \(-0.247413\pi\) |
−0.814464 | + | 0.580214i | \(0.802969\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.04016 | − | 1.20229i | 0.210291 | − | 0.0418585i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 11.8188 | + | 20.4707i | 0.410979 | + | 0.711837i | 0.994997 | − | 0.0999041i | \(-0.0318536\pi\) |
−0.584018 | + | 0.811741i | \(0.698520\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −16.9769 | + | 29.4048i | −0.589631 | + | 1.02127i | 0.404650 | + | 0.914472i | \(0.367394\pi\) |
−0.994281 | + | 0.106799i | \(0.965940\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.96225 | − | 5.04395i | −0.0680698 | − | 0.174973i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −32.0508 | + | 5.65142i | −1.11049 | + | 0.195810i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.9392 | − | 14.2286i | 0.413173 | − | 0.492401i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.7068 | + | 43.6802i | 0.370083 | + | 1.50981i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −28.1200 | − | 23.5955i | −0.970809 | − | 0.814606i | 0.0118681 | − | 0.999930i | \(-0.496222\pi\) |
−0.982678 | + | 0.185324i | \(0.940667\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.91940 | + | 27.8993i | 0.169634 | + | 0.962045i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −8.26467 | − | 6.63130i | −0.284650 | − | 0.228394i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 11.0918 | + | 6.40388i | 0.381571 | + | 0.220300i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.71946 | − | 4.45683i | 0.265244 | − | 0.153138i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 23.6433 | + | 8.02235i | 0.811437 | + | 0.275326i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.53183 | + | 3.80266i | −0.155349 | + | 0.130354i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.93434 | + | 2.52389i | −0.237427 | + | 0.0864164i | −0.457993 | − | 0.888956i | \(-0.651432\pi\) |
0.220566 | + | 0.975372i | \(0.429209\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.85335 | + | 12.8545i | 0.0975825 | + | 0.439616i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 23.7926 | + | 4.19528i | 0.812741 | + | 0.143308i | 0.564546 | − | 0.825402i | \(-0.309051\pi\) |
0.248195 | + | 0.968710i | \(0.420163\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.6165 | − | 29.1686i | 0.362231 | − | 0.995220i | −0.616009 | − | 0.787739i | \(-0.711251\pi\) |
0.978239 | − | 0.207481i | \(-0.0665265\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −10.4351 | − | 5.72310i | −0.355627 | − | 0.195043i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.703740 | 0.0239556 | 0.0119778 | − | 0.999928i | \(-0.496187\pi\) | ||||
0.0119778 | + | 0.999928i | \(0.496187\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.7141 | −0.398291 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.390450 | − | 17.7862i | −0.0132604 | − | 0.604053i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.394210 | + | 1.08308i | −0.0133727 | + | 0.0367411i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.81886 | − | 0.320715i | −0.0616299 | − | 0.0108670i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.65740 | + | 43.0602i | −0.191474 | + | 1.45737i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.66718 | + | 2.79063i | −0.259198 | + | 0.0943404i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.09474 | + | 0.918593i | −0.0369666 | + | 0.0310187i | −0.661084 | − | 0.750312i | \(-0.729903\pi\) |
0.624117 | + | 0.781331i | \(0.285459\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −38.0375 | + | 33.3669i | −1.28297 | + | 1.12544i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −45.8116 | + | 26.4494i | −1.54343 | + | 0.891102i | −0.544815 | + | 0.838556i | \(0.683400\pi\) |
−0.998619 | + | 0.0525451i | \(0.983267\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 26.0089 | + | 15.0162i | 0.875268 | + | 0.505336i | 0.869095 | − | 0.494645i | \(-0.164702\pi\) |
0.00617240 | + | 0.999981i | \(0.498035\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.45611 | − | 22.4745i | 0.116176 | − | 0.755471i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 8.86313 | + | 50.2653i | 0.297595 | + | 1.68774i | 0.656465 | + | 0.754356i | \(0.272051\pi\) |
−0.358870 | + | 0.933387i | \(0.616838\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.76743 | + | 7.35674i | 0.294050 | + | 0.246737i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −6.71143 | − | 4.69411i | −0.224841 | − | 0.157258i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 20.2530 | − | 24.1365i | 0.677740 | − | 0.807699i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.6270 | + | 3.98976i | −0.756338 | + | 0.133363i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.03937 | + | 0.467392i | 0.101481 | + | 0.0156058i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −3.54307 | + | 6.13678i | −0.118168 | + | 0.204673i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.4267 | − | 38.8443i | −0.747143 | − | 1.29409i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.211524 | − | 0.241132i | −0.00703907 | − | 0.00802438i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −12.7792 | − | 15.2296i | −0.424794 | − | 0.506250i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.1302 | − | 47.0648i | −0.568798 | − | 1.56276i | −0.806383 | − | 0.591393i | \(-0.798578\pi\) |
0.237585 | − | 0.971367i | \(-0.423644\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −31.6258 | + | 41.2382i | −1.04896 | + | 1.36778i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.81605 | − | 15.9706i | 0.0932998 | − | 0.529130i | −0.901955 | − | 0.431829i | \(-0.857868\pi\) |
0.995255 | − | 0.0973001i | \(-0.0310207\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.4103 | + | 3.78905i | 0.344532 | + | 0.125399i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 19.0411 | − | 0.417998i | 0.629480 | − | 0.0138186i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 15.0135i | 0.495788i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.97650i | 0.329094i | 0.986369 | + | 0.164547i | \(0.0526163\pi\) | ||||
−0.986369 | + | 0.164547i | \(0.947384\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.10242 | + | 9.30341i | −0.168131 | + | 0.306558i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.87291 | + | 1.04566i | 0.0945631 | + | 0.0344182i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.95468 | + | 11.0855i | −0.0642694 | + | 0.364490i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 25.7918 | + | 28.1318i | 0.847113 | + | 0.923971i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.44030 | − | 23.1895i | −0.276917 | − | 0.760824i | −0.997708 | − | 0.0676708i | \(-0.978443\pi\) |
0.720791 | − | 0.693153i | \(-0.243779\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 16.8202 | + | 20.0456i | 0.551261 | + | 0.656967i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −14.9288 | + | 43.9981i | −0.488748 | + | 1.44043i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.48381 | − | 4.30209i | −0.0812294 | − | 0.140693i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.9913 | + | 34.6259i | −0.653087 | + | 1.13118i | 0.329282 | + | 0.944231i | \(0.393193\pi\) |
−0.982370 | + | 0.186949i | \(0.940140\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.59422 | + | 11.9574i | −0.313096 | + | 0.390215i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −22.3585 | + | 3.94241i | −0.728867 | + | 0.128519i | −0.525754 | − | 0.850636i | \(-0.676217\pi\) |
−0.203113 | + | 0.979155i | \(0.565106\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.3501 | + | 12.3348i | −0.337047 | + | 0.401677i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.26973 | + | 2.10349i | 0.138894 | + | 0.0684267i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 20.1568 | + | 16.9136i | 0.655010 | + | 0.549618i | 0.908586 | − | 0.417697i | \(-0.137163\pi\) |
−0.253577 | + | 0.967315i | \(0.581607\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.196985 | + | 1.11716i | 0.00639442 | + | 0.0362646i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −26.6413 | + | 10.3643i | −0.863905 | + | 0.336086i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.6869 | − | 15.4077i | −0.864473 | − | 0.499104i | 0.00103472 | − | 0.999999i | \(-0.499671\pi\) |
−0.865508 | + | 0.500896i | \(0.833004\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.9378 | + | 8.04701i | −0.451018 | + | 0.260395i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.251924 | − | 1.26563i | −0.00814354 | − | 0.0409121i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.44841 | − | 3.73266i | 0.143647 | − | 0.120534i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 41.2629 | − | 15.0185i | 1.33106 | − | 0.484466i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.92914 | + | 15.2416i | −0.255513 | + | 0.491153i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −20.6326 | − | 3.63809i | −0.664188 | − | 0.117114i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.2396 | − | 33.6280i | 0.393598 | − | 1.08140i | −0.571748 | − | 0.820429i | \(-0.693734\pi\) |
0.965346 | − | 0.260973i | \(-0.0840433\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −32.4662 | + | 19.7069i | −1.04296 | + | 0.633075i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 20.7054 | 0.664469 | 0.332234 | − | 0.943197i | \(-0.392197\pi\) | ||||
0.332234 | + | 0.943197i | \(0.392197\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.76084 | −0.152625 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 5.00184 | − | 3.03610i | 0.160187 | − | 0.0972329i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.72029 | − | 4.72646i | 0.0550369 | − | 0.151213i | −0.909128 | − | 0.416518i | \(-0.863250\pi\) |
0.964165 | + | 0.265305i | \(0.0854726\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.42622 | + | 0.780462i | 0.141463 | + | 0.0249437i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 25.9408 | − | 49.8641i | 0.828227 | − | 1.59204i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −15.6136 | + | 5.68289i | −0.497997 | + | 0.181256i | −0.578793 | − | 0.815475i | \(-0.696476\pi\) |
0.0807960 | + | 0.996731i | \(0.474254\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.74196 | + | 4.81808i | −0.182954 | + | 0.153517i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.22346 | − | 11.1704i | −0.0707736 | − | 0.355557i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.375828 | + | 0.216984i | −0.0119506 | + | 0.00689969i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.4933 | + | 7.79036i | 0.428629 | + | 0.247469i | 0.698762 | − | 0.715354i | \(-0.253735\pi\) |
−0.270134 | + | 0.962823i | \(0.587068\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.12065 | + | 1.21403i | −0.0990308 | + | 0.0385261i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.16673 | − | 17.9594i | −0.100392 | − | 0.569351i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −36.2831 | − | 30.4451i | −1.14910 | − | 0.964207i | −0.149399 | − | 0.988777i | \(-0.547734\pi\) |
−0.999698 | + | 0.0245702i | \(0.992178\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.4434 | − | 8.32158i | 0.393693 | − | 0.263283i |
(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 | 432.2.be.b.335.6 | ✓ | 36 | |
4.3 | odd | 2 | 432.2.be.c.335.1 | yes | 36 | ||
27.5 | odd | 18 | 432.2.be.c.383.1 | yes | 36 | ||
108.59 | even | 18 | inner | 432.2.be.b.383.6 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.be.b.335.6 | ✓ | 36 | 1.1 | even | 1 | trivial | |
432.2.be.b.383.6 | yes | 36 | 108.59 | even | 18 | inner | |
432.2.be.c.335.1 | yes | 36 | 4.3 | odd | 2 | ||
432.2.be.c.383.1 | yes | 36 | 27.5 | odd | 18 |