Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(20,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.k (of order \(14\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 104.6 | ||
Character | \(\chi\) | \(=\) | 147.104 |
Dual form | 147.2.k.a.41.6 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.708830 | − | 0.565273i | −0.501219 | − | 0.399709i | 0.339982 | − | 0.940432i | \(-0.389579\pi\) |
−0.841200 | + | 0.540723i | \(0.818151\pi\) | |||||||
\(3\) | 0.929631 | − | 1.46143i | 0.536723 | − | 0.843759i | ||||
\(4\) | −0.262135 | − | 1.14849i | −0.131068 | − | 0.574245i | ||||
\(5\) | 3.11976 | + | 1.50240i | 1.39520 | + | 0.671891i | 0.972181 | − | 0.234231i | \(-0.0752571\pi\) |
0.423016 | + | 0.906122i | \(0.360971\pi\) | |||||||
\(6\) | −1.48506 | + | 0.510413i | −0.606273 | + | 0.208375i | ||||
\(7\) | 1.97338 | + | 1.76232i | 0.745868 | + | 0.666093i | ||||
\(8\) | −1.25014 | + | 2.59595i | −0.441993 | + | 0.917807i | ||||
\(9\) | −1.27157 | − | 2.71719i | −0.423858 | − | 0.905729i | ||||
\(10\) | −1.36211 | − | 2.82846i | −0.430738 | − | 0.894437i | ||||
\(11\) | −4.39120 | − | 3.50187i | −1.32400 | − | 1.05585i | −0.993711 | − | 0.111971i | \(-0.964284\pi\) |
−0.330285 | − | 0.943881i | \(-0.607145\pi\) | |||||||
\(12\) | −1.92213 | − | 0.684579i | −0.554871 | − | 0.197621i | ||||
\(13\) | 0.177428 | + | 0.141494i | 0.0492095 | + | 0.0392433i | 0.647786 | − | 0.761823i | \(-0.275695\pi\) |
−0.598576 | + | 0.801066i | \(0.704267\pi\) | |||||||
\(14\) | −0.402603 | − | 2.36468i | −0.107600 | − | 0.631988i | ||||
\(15\) | 5.09587 | − | 3.16264i | 1.31575 | − | 0.816590i | ||||
\(16\) | 0.230833 | − | 0.111163i | 0.0577081 | − | 0.0277908i | ||||
\(17\) | −0.323366 | + | 1.41676i | −0.0784277 | + | 0.343614i | −0.998884 | − | 0.0472313i | \(-0.984960\pi\) |
0.920456 | + | 0.390846i | \(0.127817\pi\) | |||||||
\(18\) | −0.634624 | + | 2.64481i | −0.149582 | + | 0.623388i | ||||
\(19\) | 5.02827i | 1.15356i | 0.816898 | + | 0.576782i | \(0.195692\pi\) | ||||
−0.816898 | + | 0.576782i | \(0.804308\pi\) | |||||||
\(20\) | 0.907687 | − | 3.97684i | 0.202965 | − | 0.889248i | ||||
\(21\) | 4.41003 | − | 1.24566i | 0.962346 | − | 0.271826i | ||||
\(22\) | 1.13311 | + | 4.96446i | 0.241579 | + | 1.05843i | ||||
\(23\) | −3.57128 | + | 0.815122i | −0.744664 | + | 0.169965i | −0.577986 | − | 0.816047i | \(-0.696161\pi\) |
−0.166678 | + | 0.986011i | \(0.553304\pi\) | |||||||
\(24\) | 2.63163 | + | 4.24028i | 0.537180 | + | 0.865543i | ||||
\(25\) | 4.35823 | + | 5.46505i | 0.871647 | + | 1.09301i | ||||
\(26\) | −0.0457834 | − | 0.200590i | −0.00897886 | − | 0.0393390i | ||||
\(27\) | −5.15308 | − | 0.667662i | −0.991711 | − | 0.128492i | ||||
\(28\) | 1.50671 | − | 2.72838i | 0.284741 | − | 0.515615i | ||||
\(29\) | −0.768658 | − | 0.175441i | −0.142736 | − | 0.0325786i | 0.150556 | − | 0.988602i | \(-0.451894\pi\) |
−0.293292 | + | 0.956023i | \(0.594751\pi\) | |||||||
\(30\) | −5.39986 | − | 0.638784i | −0.985876 | − | 0.116626i | ||||
\(31\) | − | 4.63475i | − | 0.832426i | −0.909267 | − | 0.416213i | \(-0.863357\pi\) | ||
0.909267 | − | 0.416213i | \(-0.136643\pi\) | |||||||
\(32\) | 5.39164 | + | 1.23061i | 0.953116 | + | 0.217542i | ||||
\(33\) | −9.19994 | + | 3.16200i | −1.60150 | + | 0.550434i | ||||
\(34\) | 1.03007 | − | 0.821451i | 0.176655 | − | 0.140878i | ||||
\(35\) | 3.50877 | + | 8.46280i | 0.593091 | + | 1.43047i | ||||
\(36\) | −2.78734 | + | 2.17266i | −0.464556 | + | 0.362110i | ||||
\(37\) | −0.757363 | + | 3.31822i | −0.124510 | + | 0.545513i | 0.873741 | + | 0.486391i | \(0.161687\pi\) |
−0.998251 | + | 0.0591213i | \(0.981170\pi\) | |||||||
\(38\) | 2.84235 | − | 3.56419i | 0.461090 | − | 0.578188i | ||||
\(39\) | 0.371726 | − | 0.127762i | 0.0595238 | − | 0.0204582i | ||||
\(40\) | −7.80028 | + | 6.22052i | −1.23333 | + | 0.983551i | ||||
\(41\) | 5.72497 | + | 2.75700i | 0.894090 | + | 0.430571i | 0.823751 | − | 0.566952i | \(-0.191878\pi\) |
0.0703391 | + | 0.997523i | \(0.477592\pi\) | |||||||
\(42\) | −3.83010 | − | 1.60991i | −0.590997 | − | 0.248414i | ||||
\(43\) | −1.08373 | + | 0.521899i | −0.165268 | + | 0.0795888i | −0.514689 | − | 0.857377i | \(-0.672093\pi\) |
0.349421 | + | 0.936966i | \(0.386378\pi\) | |||||||
\(44\) | −2.87077 | + | 5.96121i | −0.432785 | + | 0.898687i | ||||
\(45\) | 0.115291 | − | 10.3874i | 0.0171866 | − | 1.54846i | ||||
\(46\) | 2.99220 | + | 1.44097i | 0.441176 | + | 0.212459i | ||||
\(47\) | 3.10226 | − | 3.89012i | 0.452512 | − | 0.567432i | −0.502281 | − | 0.864704i | \(-0.667506\pi\) |
0.954793 | + | 0.297273i | \(0.0960771\pi\) | |||||||
\(48\) | 0.0521317 | − | 0.440687i | 0.00752456 | − | 0.0636077i | ||||
\(49\) | 0.788477 | + | 6.95545i | 0.112640 | + | 0.993636i | ||||
\(50\) | − | 6.33739i | − | 0.896242i | ||||||
\(51\) | 1.76989 | + | 1.78964i | 0.247834 | + | 0.250600i | ||||
\(52\) | 0.115994 | − | 0.240864i | 0.0160855 | − | 0.0334019i | ||||
\(53\) | 7.48090 | − | 1.70747i | 1.02758 | − | 0.234539i | 0.324678 | − | 0.945825i | \(-0.394744\pi\) |
0.702903 | + | 0.711286i | \(0.251887\pi\) | |||||||
\(54\) | 3.27525 | + | 3.38616i | 0.445705 | + | 0.460798i | ||||
\(55\) | −8.43829 | − | 17.5223i | −1.13782 | − | 2.36270i | ||||
\(56\) | −7.04190 | + | 2.91965i | −0.941013 | + | 0.390155i | ||||
\(57\) | 7.34848 | + | 4.67444i | 0.973330 | + | 0.619144i | ||||
\(58\) | 0.445676 | + | 0.558860i | 0.0585201 | + | 0.0733819i | ||||
\(59\) | −9.29558 | + | 4.47652i | −1.21018 | + | 0.582793i | −0.926561 | − | 0.376144i | \(-0.877250\pi\) |
−0.283620 | + | 0.958937i | \(0.591536\pi\) | |||||||
\(60\) | −4.96807 | − | 5.02352i | −0.641375 | − | 0.648533i | ||||
\(61\) | −0.684988 | − | 0.156344i | −0.0877038 | − | 0.0200178i | 0.178444 | − | 0.983950i | \(-0.442894\pi\) |
−0.266148 | + | 0.963932i | \(0.585751\pi\) | |||||||
\(62\) | −2.61990 | + | 3.28525i | −0.332728 | + | 0.417228i | ||||
\(63\) | 2.27924 | − | 7.60296i | 0.287158 | − | 0.957883i | ||||
\(64\) | −3.44561 | − | 4.32066i | −0.430701 | − | 0.540082i | ||||
\(65\) | 0.340951 | + | 0.707992i | 0.0422898 | + | 0.0878156i | ||||
\(66\) | 8.30859 | + | 2.95916i | 1.02272 | + | 0.364247i | ||||
\(67\) | 4.45331 | 0.544058 | 0.272029 | − | 0.962289i | \(-0.412305\pi\) | ||||
0.272029 | + | 0.962289i | \(0.412305\pi\) | |||||||
\(68\) | 1.71190 | 0.207598 | ||||||||
\(69\) | −2.12873 | + | 5.97695i | −0.256269 | + | 0.719541i | ||||
\(70\) | 2.29667 | − | 7.98211i | 0.274504 | − | 0.954044i | ||||
\(71\) | 4.05666 | − | 0.925906i | 0.481437 | − | 0.109885i | 0.0250871 | − | 0.999685i | \(-0.492014\pi\) |
0.456350 | + | 0.889800i | \(0.349157\pi\) | |||||||
\(72\) | 8.64333 | + | 0.0959340i | 1.01863 | + | 0.0113059i | ||||
\(73\) | 2.09323 | − | 1.66929i | 0.244994 | − | 0.195376i | −0.493292 | − | 0.869864i | \(-0.664207\pi\) |
0.738286 | + | 0.674487i | \(0.235635\pi\) | |||||||
\(74\) | 2.41255 | − | 1.92394i | 0.280453 | − | 0.223654i | ||||
\(75\) | 12.0384 | − | 1.28879i | 1.39007 | − | 0.148816i | ||||
\(76\) | 5.77492 | − | 1.31809i | 0.662429 | − | 0.151195i | ||||
\(77\) | −2.49412 | − | 14.6492i | −0.284231 | − | 1.66943i | ||||
\(78\) | −0.335711 | − | 0.119565i | −0.0380117 | − | 0.0135381i | ||||
\(79\) | −8.36536 | −0.941176 | −0.470588 | − | 0.882353i | \(-0.655958\pi\) | ||||
−0.470588 | + | 0.882353i | \(0.655958\pi\) | |||||||
\(80\) | 0.887152 | 0.0991866 | ||||||||
\(81\) | −5.76621 | + | 6.91020i | −0.640689 | + | 0.767800i | ||||
\(82\) | −2.49957 | − | 5.19042i | −0.276032 | − | 0.573186i | ||||
\(83\) | −7.02343 | − | 8.80710i | −0.770922 | − | 0.966705i | 0.229056 | − | 0.973413i | \(-0.426436\pi\) |
−0.999977 | + | 0.00670820i | \(0.997865\pi\) | |||||||
\(84\) | −2.58665 | − | 4.73834i | −0.282227 | − | 0.516995i | ||||
\(85\) | −3.13735 | + | 3.93411i | −0.340294 | + | 0.426715i | ||||
\(86\) | 1.06320 | + | 0.242668i | 0.114648 | + | 0.0261676i | ||||
\(87\) | −0.970964 | + | 0.960247i | −0.104098 | + | 0.102949i | ||||
\(88\) | 14.5803 | − | 7.02150i | 1.55427 | − | 0.748495i | ||||
\(89\) | −8.02795 | − | 10.0667i | −0.850961 | − | 1.06707i | −0.996970 | − | 0.0777881i | \(-0.975214\pi\) |
0.146009 | − | 0.989283i | \(-0.453357\pi\) | |||||||
\(90\) | −5.95342 | + | 7.29771i | −0.627546 | + | 0.769246i | ||||
\(91\) | 0.100776 | + | 0.591905i | 0.0105641 | + | 0.0620485i | ||||
\(92\) | 1.87232 | + | 3.88791i | 0.195203 | + | 0.405343i | ||||
\(93\) | −6.77338 | − | 4.30861i | −0.702367 | − | 0.446782i | ||||
\(94\) | −4.39796 | + | 1.00381i | −0.453615 | + | 0.103535i | ||||
\(95\) | −7.55445 | + | 15.6870i | −0.775070 | + | 1.60945i | ||||
\(96\) | 6.81068 | − | 6.73551i | 0.695112 | − | 0.687440i | ||||
\(97\) | − | 11.7447i | − | 1.19249i | −0.802801 | − | 0.596247i | \(-0.796658\pi\) | ||
0.802801 | − | 0.596247i | \(-0.203342\pi\) | |||||||
\(98\) | 3.37283 | − | 5.37594i | 0.340708 | − | 0.543052i | ||||
\(99\) | −3.93149 | + | 16.3846i | −0.395130 | + | 1.64671i | ||||
\(100\) | 5.13411 | − | 6.43797i | 0.513411 | − | 0.643797i | ||||
\(101\) | 9.24818 | + | 4.45369i | 0.920229 | + | 0.443159i | 0.833153 | − | 0.553043i | \(-0.186533\pi\) |
0.0870759 | + | 0.996202i | \(0.472248\pi\) | |||||||
\(102\) | −0.242913 | − | 2.26902i | −0.0240520 | − | 0.224666i | ||||
\(103\) | −0.587904 | + | 1.22079i | −0.0579279 | + | 0.120289i | −0.927923 | − | 0.372772i | \(-0.878407\pi\) |
0.869995 | + | 0.493060i | \(0.164122\pi\) | |||||||
\(104\) | −0.589121 | + | 0.283706i | −0.0577680 | + | 0.0278196i | ||||
\(105\) | 15.6297 | + | 2.73944i | 1.52530 | + | 0.267342i | ||||
\(106\) | −6.26787 | − | 3.01845i | −0.608790 | − | 0.293178i | ||||
\(107\) | 7.57099 | − | 6.03767i | 0.731916 | − | 0.583683i | −0.185012 | − | 0.982736i | \(-0.559233\pi\) |
0.916928 | + | 0.399053i | \(0.130661\pi\) | |||||||
\(108\) | 0.584001 | + | 6.09328i | 0.0561955 | + | 0.586326i | ||||
\(109\) | −6.95770 | + | 8.72468i | −0.666427 | + | 0.835673i | −0.994026 | − | 0.109144i | \(-0.965189\pi\) |
0.327599 | + | 0.944817i | \(0.393761\pi\) | |||||||
\(110\) | −3.92357 | + | 17.1903i | −0.374097 | + | 1.63903i | ||||
\(111\) | 4.14529 | + | 4.19156i | 0.393454 | + | 0.397845i | ||||
\(112\) | 0.651426 | + | 0.187433i | 0.0615539 | + | 0.0177107i | ||||
\(113\) | −14.9136 | + | 11.8932i | −1.40295 | + | 1.11882i | −0.426154 | + | 0.904650i | \(0.640132\pi\) |
−0.976797 | + | 0.214166i | \(0.931297\pi\) | |||||||
\(114\) | −2.56649 | − | 7.46728i | −0.240374 | − | 0.699375i | ||||
\(115\) | −12.3662 | − | 2.82250i | −1.15315 | − | 0.263199i | ||||
\(116\) | 0.928786i | 0.0862356i | ||||||||
\(117\) | 0.158853 | − | 0.662023i | 0.0146860 | − | 0.0612041i | ||||
\(118\) | 9.11945 | + | 2.08145i | 0.839513 | + | 0.191613i | ||||
\(119\) | −3.13490 | + | 2.22593i | −0.287376 | + | 0.204051i | ||||
\(120\) | 1.83949 | + | 17.1824i | 0.167921 | + | 1.56853i | ||||
\(121\) | 4.57185 | + | 20.0306i | 0.415623 | + | 1.82096i | ||||
\(122\) | 0.397163 | + | 0.498027i | 0.0359575 | + | 0.0450892i | ||||
\(123\) | 9.35128 | − | 5.80367i | 0.843176 | − | 0.523299i | ||||
\(124\) | −5.32297 | + | 1.21493i | −0.478017 | + | 0.109104i | ||||
\(125\) | 1.53338 | + | 6.71816i | 0.137149 | + | 0.600891i | ||||
\(126\) | −5.91335 | + | 4.10081i | −0.526803 | + | 0.365330i | ||||
\(127\) | 2.74701 | − | 12.0354i | 0.243758 | − | 1.06797i | −0.693806 | − | 0.720161i | \(-0.744068\pi\) |
0.937564 | − | 0.347812i | \(-0.113075\pi\) | |||||||
\(128\) | − | 6.05026i | − | 0.534772i | ||||||
\(129\) | −0.244752 | + | 2.06898i | −0.0215493 | + | 0.182163i | ||||
\(130\) | 0.158533 | − | 0.694577i | 0.0139042 | − | 0.0609184i | ||||
\(131\) | 14.1687 | − | 6.82329i | 1.23793 | − | 0.596153i | 0.303676 | − | 0.952775i | \(-0.401786\pi\) |
0.934249 | + | 0.356622i | \(0.116072\pi\) | |||||||
\(132\) | 6.04316 | + | 9.73716i | 0.525989 | + | 0.847511i | ||||
\(133\) | −8.86141 | + | 9.92270i | −0.768382 | + | 0.860407i | ||||
\(134\) | −3.15664 | − | 2.51734i | −0.272692 | − | 0.217465i | ||||
\(135\) | −15.0733 | − | 9.82490i | −1.29730 | − | 0.845593i | ||||
\(136\) | −3.27358 | − | 2.61059i | −0.280707 | − | 0.223856i | ||||
\(137\) | −2.09745 | − | 4.35540i | −0.179197 | − | 0.372107i | 0.791951 | − | 0.610585i | \(-0.209066\pi\) |
−0.971148 | + | 0.238478i | \(0.923351\pi\) | |||||||
\(138\) | 4.88752 | − | 3.03333i | 0.416053 | − | 0.258214i | ||||
\(139\) | −8.96924 | + | 18.6248i | −0.760761 | + | 1.57974i | 0.0530388 | + | 0.998592i | \(0.483109\pi\) |
−0.813800 | + | 0.581145i | \(0.802605\pi\) | |||||||
\(140\) | 8.79967 | − | 6.24819i | 0.743707 | − | 0.528069i | ||||
\(141\) | −2.80118 | − | 8.15012i | −0.235902 | − | 0.686364i | ||||
\(142\) | −3.39887 | − | 1.63681i | −0.285227 | − | 0.137358i | ||||
\(143\) | −0.283628 | − | 1.24265i | −0.0237182 | − | 0.103916i | ||||
\(144\) | −0.595571 | − | 0.485863i | −0.0496309 | − | 0.0404886i | ||||
\(145\) | −2.13444 | − | 1.70216i | −0.177256 | − | 0.141357i | ||||
\(146\) | −2.42735 | −0.200889 | ||||||||
\(147\) | 10.8979 | + | 5.31370i | 0.898845 | + | 0.438266i | ||||
\(148\) | 4.00948 | 0.329577 | ||||||||
\(149\) | 9.94764 | + | 7.93297i | 0.814942 | + | 0.649895i | 0.939588 | − | 0.342307i | \(-0.111208\pi\) |
−0.124646 | + | 0.992201i | \(0.539780\pi\) | |||||||
\(150\) | −9.26167 | − | 5.89143i | −0.756212 | − | 0.481033i | ||||
\(151\) | −5.34984 | − | 23.4392i | −0.435364 | − | 1.90745i | −0.419894 | − | 0.907573i | \(-0.637933\pi\) |
−0.0154700 | − | 0.999880i | \(-0.504924\pi\) | |||||||
\(152\) | −13.0531 | − | 6.28606i | −1.05875 | − | 0.509867i | ||||
\(153\) | 4.26078 | − | 0.922866i | 0.344463 | − | 0.0746093i | ||||
\(154\) | −6.51290 | + | 11.7937i | −0.524824 | + | 0.950361i | ||||
\(155\) | 6.96323 | − | 14.4593i | 0.559300 | − | 1.16140i | ||||
\(156\) | −0.244175 | − | 0.393432i | −0.0195497 | − | 0.0314998i | ||||
\(157\) | 0.533875 | + | 1.10860i | 0.0426078 | + | 0.0884761i | 0.921186 | − | 0.389122i | \(-0.127222\pi\) |
−0.878578 | + | 0.477598i | \(0.841507\pi\) | |||||||
\(158\) | 5.92962 | + | 4.72871i | 0.471735 | + | 0.376196i | ||||
\(159\) | 4.45913 | − | 12.5201i | 0.353632 | − | 0.992912i | ||||
\(160\) | 14.9717 | + | 11.9396i | 1.18362 | + | 0.943905i | ||||
\(161\) | −8.48401 | − | 4.68519i | −0.668634 | − | 0.369244i | ||||
\(162\) | 7.99341 | − | 1.63868i | 0.628022 | − | 0.128747i | ||||
\(163\) | 13.6073 | − | 6.55295i | 1.06581 | − | 0.513267i | 0.183056 | − | 0.983103i | \(-0.441401\pi\) |
0.882754 | + | 0.469836i | \(0.155687\pi\) | |||||||
\(164\) | 1.66567 | − | 7.29778i | 0.130067 | − | 0.569861i | ||||
\(165\) | −33.4521 | − | 3.95727i | −2.60425 | − | 0.308073i | ||||
\(166\) | 10.2129i | 0.792675i | ||||||||
\(167\) | −0.945393 | + | 4.14204i | −0.0731567 | + | 0.320520i | −0.998244 | − | 0.0592338i | \(-0.981134\pi\) |
0.925087 | + | 0.379754i | \(0.123991\pi\) | |||||||
\(168\) | −2.27949 | + | 13.0055i | −0.175866 | + | 1.00339i | ||||
\(169\) | −2.88131 | − | 12.6239i | −0.221639 | − | 0.971066i | ||||
\(170\) | 4.44770 | − | 1.01516i | 0.341123 | − | 0.0778591i | ||||
\(171\) | 13.6628 | − | 6.39381i | 1.04482 | − | 0.488947i | ||||
\(172\) | 0.883480 | + | 1.10785i | 0.0673647 | + | 0.0844727i | ||||
\(173\) | 1.79323 | + | 7.85664i | 0.136337 | + | 0.597329i | 0.996222 | + | 0.0868424i | \(0.0276777\pi\) |
−0.859886 | + | 0.510487i | \(0.829465\pi\) | |||||||
\(174\) | 1.23105 | − | 0.131792i | 0.0933257 | − | 0.00999113i | ||||
\(175\) | −1.03069 | + | 18.4652i | −0.0779130 | + | 1.39584i | ||||
\(176\) | −1.40291 | − | 0.320205i | −0.105748 | − | 0.0241364i | ||||
\(177\) | −2.09933 | + | 17.7464i | −0.157795 | + | 1.33390i | ||||
\(178\) | 11.6736i | 0.874973i | ||||||||
\(179\) | 7.32651 | + | 1.67223i | 0.547609 | + | 0.124988i | 0.487370 | − | 0.873196i | \(-0.337956\pi\) |
0.0602394 | + | 0.998184i | \(0.480814\pi\) | |||||||
\(180\) | −11.9600 | + | 2.59048i | −0.891446 | + | 0.193083i | ||||
\(181\) | −5.52772 | + | 4.40821i | −0.410872 | + | 0.327660i | −0.807017 | − | 0.590529i | \(-0.798919\pi\) |
0.396145 | + | 0.918188i | \(0.370348\pi\) | |||||||
\(182\) | 0.263155 | − | 0.476526i | 0.0195064 | − | 0.0353224i | ||||
\(183\) | −0.865273 | + | 0.855722i | −0.0639628 | + | 0.0632568i | ||||
\(184\) | 2.34860 | − | 10.2899i | 0.173141 | − | 0.758581i | ||||
\(185\) | −7.34807 | + | 9.21419i | −0.540241 | + | 0.677441i | ||||
\(186\) | 2.36564 | + | 6.88289i | 0.173457 | + | 0.504678i | ||||
\(187\) | 6.38126 | − | 5.08888i | 0.466644 | − | 0.372136i | ||||
\(188\) | −5.28097 | − | 2.54318i | −0.385154 | − | 0.185481i | ||||
\(189\) | −8.99236 | − | 10.3989i | −0.654098 | − | 0.756410i | ||||
\(190\) | 14.2223 | − | 6.84908i | 1.03179 | − | 0.496884i | ||||
\(191\) | −5.17526 | + | 10.7465i | −0.374468 | + | 0.777592i | −0.999997 | − | 0.00260985i | \(-0.999169\pi\) |
0.625528 | + | 0.780202i | \(0.284884\pi\) | |||||||
\(192\) | −9.51749 | + | 1.01891i | −0.686866 | + | 0.0735335i | ||||
\(193\) | −1.04695 | − | 0.504185i | −0.0753612 | − | 0.0362920i | 0.395824 | − | 0.918327i | \(-0.370459\pi\) |
−0.471185 | + | 0.882035i | \(0.656173\pi\) | |||||||
\(194\) | −6.63897 | + | 8.32500i | −0.476650 | + | 0.597700i | ||||
\(195\) | 1.35164 | + | 0.159894i | 0.0967931 | + | 0.0114503i | ||||
\(196\) | 7.78158 | − | 2.72883i | 0.555827 | − | 0.194916i | ||||
\(197\) | − | 7.99466i | − | 0.569596i | −0.958588 | − | 0.284798i | \(-0.908073\pi\) | ||
0.958588 | − | 0.284798i | \(-0.0919265\pi\) | |||||||
\(198\) | 12.0485 | − | 9.39153i | 0.856252 | − | 0.667427i | ||||
\(199\) | −2.12563 | + | 4.41391i | −0.150682 | + | 0.312894i | −0.962623 | − | 0.270846i | \(-0.912697\pi\) |
0.811941 | + | 0.583739i | \(0.198411\pi\) | |||||||
\(200\) | −19.6354 | + | 4.48166i | −1.38843 | + | 0.316901i | ||||
\(201\) | 4.13993 | − | 6.50821i | 0.292008 | − | 0.459054i | ||||
\(202\) | −4.03784 | − | 8.38466i | −0.284101 | − | 0.589943i | ||||
\(203\) | −1.20767 | − | 1.70083i | −0.0847621 | − | 0.119375i | ||||
\(204\) | 1.59143 | − | 2.50182i | 0.111423 | − | 0.175163i | ||||
\(205\) | 13.7184 | + | 17.2023i | 0.958135 | + | 1.20146i | ||||
\(206\) | 1.10681 | − | 0.533010i | 0.0771149 | − | 0.0371366i | ||||
\(207\) | 6.75599 | + | 8.66736i | 0.469573 | + | 0.602423i | ||||
\(208\) | 0.0566849 | + | 0.0129380i | 0.00393039 | + | 0.000897087i | ||||
\(209\) | 17.6083 | − | 22.0801i | 1.21799 | − | 1.52732i | ||||
\(210\) | −9.53026 | − | 10.7768i | −0.657650 | − | 0.743673i | ||||
\(211\) | −17.2369 | − | 21.6144i | −1.18664 | − | 1.48800i | −0.833583 | − | 0.552395i | \(-0.813714\pi\) |
−0.353056 | − | 0.935602i | \(-0.614857\pi\) | |||||||
\(212\) | −3.92202 | − | 8.14415i | −0.269365 | − | 0.559343i | ||||
\(213\) | 2.41805 | − | 6.78929i | 0.165682 | − | 0.465194i | ||||
\(214\) | −8.77948 | −0.600153 | ||||||||
\(215\) | −4.16508 | −0.284056 | ||||||||
\(216\) | 8.17531 | − | 12.5425i | 0.556259 | − | 0.853407i | ||||
\(217\) | 8.16790 | − | 9.14614i | 0.554473 | − | 0.620880i | ||||
\(218\) | 9.86366 | − | 2.25132i | 0.668052 | − | 0.152478i | ||||
\(219\) | −0.493632 | − | 4.61094i | −0.0333565 | − | 0.311579i | ||||
\(220\) | −17.9122 | + | 14.2845i | −1.20764 | + | 0.963061i | ||||
\(221\) | −0.257836 | + | 0.205618i | −0.0173439 | + | 0.0138313i | ||||
\(222\) | −0.568934 | − | 5.31433i | −0.0381843 | − | 0.356674i | ||||
\(223\) | 11.6272 | − | 2.65382i | 0.778613 | − | 0.177713i | 0.185296 | − | 0.982683i | \(-0.440676\pi\) |
0.593316 | + | 0.804969i | \(0.297818\pi\) | |||||||
\(224\) | 8.47104 | + | 11.9302i | 0.565995 | + | 0.797122i | ||||
\(225\) | 9.30776 | − | 18.7913i | 0.620517 | − | 1.25276i | ||||
\(226\) | 17.2941 | 1.15039 | ||||||||
\(227\) | −0.0961991 | −0.00638496 | −0.00319248 | − | 0.999995i | \(-0.501016\pi\) | ||||
−0.00319248 | + | 0.999995i | \(0.501016\pi\) | |||||||
\(228\) | 3.44225 | − | 9.66499i | 0.227968 | − | 0.640080i | ||||
\(229\) | −3.66187 | − | 7.60394i | −0.241983 | − | 0.502483i | 0.744238 | − | 0.667914i | \(-0.232813\pi\) |
−0.986221 | + | 0.165431i | \(0.947098\pi\) | |||||||
\(230\) | 7.17003 | + | 8.99094i | 0.472778 | + | 0.592845i | ||||
\(231\) | −23.7274 | − | 9.97337i | −1.56115 | − | 0.656199i | ||||
\(232\) | 1.41637 | − | 1.77607i | 0.0929892 | − | 0.116605i | ||||
\(233\) | −0.630428 | − | 0.143891i | −0.0413007 | − | 0.00942661i | 0.201821 | − | 0.979422i | \(-0.435314\pi\) |
−0.243121 | + | 0.969996i | \(0.578171\pi\) | |||||||
\(234\) | −0.486824 | + | 0.379467i | −0.0318247 | + | 0.0248065i | ||||
\(235\) | 15.5228 | − | 7.47538i | 1.01260 | − | 0.487640i | ||||
\(236\) | 7.57793 | + | 9.50243i | 0.493281 | + | 0.618555i | ||||
\(237\) | −7.77670 | + | 12.2254i | −0.505151 | + | 0.794126i | ||||
\(238\) | 3.48037 | + | 0.194268i | 0.225599 | + | 0.0125925i | ||||
\(239\) | 4.94526 | + | 10.2689i | 0.319882 | + | 0.664242i | 0.997462 | − | 0.0712074i | \(-0.0226852\pi\) |
−0.677579 | + | 0.735450i | \(0.736971\pi\) | |||||||
\(240\) | 0.824724 | − | 1.29651i | 0.0532357 | − | 0.0836896i | ||||
\(241\) | 16.2659 | − | 3.71258i | 1.04778 | − | 0.239149i | 0.336226 | − | 0.941781i | \(-0.390850\pi\) |
0.711553 | + | 0.702633i | \(0.247992\pi\) | |||||||
\(242\) | 8.08209 | − | 16.7826i | 0.519536 | − | 1.07883i | ||||
\(243\) | 4.73835 | + | 14.8509i | 0.303965 | + | 0.952683i | ||||
\(244\) | 0.827685i | 0.0529871i | ||||||||
\(245\) | −7.98998 | + | 22.8839i | −0.510461 | + | 1.46200i | ||||
\(246\) | −9.90913 | − | 1.17221i | −0.631783 | − | 0.0747376i | ||||
\(247\) | −0.711469 | + | 0.892154i | −0.0452697 | + | 0.0567664i | ||||
\(248\) | 12.0316 | + | 5.79411i | 0.764007 | + | 0.367926i | ||||
\(249\) | −19.4002 | + | 2.07692i | −1.22944 | + | 0.131619i | ||||
\(250\) | 2.71069 | − | 5.62881i | 0.171439 | − | 0.355997i | ||||
\(251\) | −15.6761 | + | 7.54921i | −0.989466 | + | 0.476502i | −0.857351 | − | 0.514733i | \(-0.827891\pi\) |
−0.132115 | + | 0.991234i | \(0.542177\pi\) | |||||||
\(252\) | −9.32940 | − | 0.624684i | −0.587697 | − | 0.0393514i | ||||
\(253\) | 18.5367 | + | 8.92679i | 1.16539 | + | 0.561223i | ||||
\(254\) | −8.75048 | + | 6.97828i | −0.549054 | + | 0.437856i | ||||
\(255\) | 2.83287 | + | 8.24230i | 0.177401 | + | 0.516153i | ||||
\(256\) | −10.3113 | + | 12.9299i | −0.644454 | + | 0.808120i | ||||
\(257\) | 2.17051 | − | 9.50963i | 0.135393 | − | 0.593194i | −0.861020 | − | 0.508571i | \(-0.830174\pi\) |
0.996413 | − | 0.0846237i | \(-0.0269688\pi\) | |||||||
\(258\) | 1.34303 | − | 1.32820i | 0.0836131 | − | 0.0826902i | ||||
\(259\) | −7.34233 | + | 5.21341i | −0.456230 | + | 0.323946i | ||||
\(260\) | 0.723747 | − | 0.577169i | 0.0448849 | − | 0.0357945i | ||||
\(261\) | 0.500698 | + | 2.31167i | 0.0309924 | + | 0.143089i | ||||
\(262\) | −13.9002 | − | 3.17264i | −0.858759 | − | 0.196006i | ||||
\(263\) | − | 9.30173i | − | 0.573569i | −0.957995 | − | 0.286785i | \(-0.907414\pi\) | ||
0.957995 | − | 0.286785i | \(-0.0925864\pi\) | |||||||
\(264\) | 3.29284 | − | 27.8355i | 0.202660 | − | 1.71316i | ||||
\(265\) | 25.9039 | + | 5.91239i | 1.59126 | + | 0.363195i | ||||
\(266\) | 11.8903 | − | 2.02440i | 0.729040 | − | 0.124124i | ||||
\(267\) | −22.1749 | + | 2.37397i | −1.35708 | + | 0.145284i | ||||
\(268\) | −1.16737 | − | 5.11458i | −0.0713084 | − | 0.312423i | ||||
\(269\) | −3.75661 | − | 4.71063i | −0.229044 | − | 0.287212i | 0.654007 | − | 0.756488i | \(-0.273086\pi\) |
−0.883052 | + | 0.469276i | \(0.844515\pi\) | |||||||
\(270\) | 5.13063 | + | 15.4847i | 0.312240 | + | 0.942369i | ||||
\(271\) | 5.27359 | − | 1.20366i | 0.320348 | − | 0.0731172i | −0.0593235 | − | 0.998239i | \(-0.518894\pi\) |
0.379671 | + | 0.925122i | \(0.376037\pi\) | |||||||
\(272\) | 0.0828478 | + | 0.362980i | 0.00502339 | + | 0.0220089i | ||||
\(273\) | 0.958713 | + | 0.402976i | 0.0580240 | + | 0.0243892i | ||||
\(274\) | −0.975256 | + | 4.27288i | −0.0589174 | + | 0.258134i | ||||
\(275\) | − | 39.2601i | − | 2.36747i | ||||||
\(276\) | 7.42249 | + | 0.878053i | 0.446781 | + | 0.0528526i | ||||
\(277\) | −3.43072 | + | 15.0310i | −0.206132 | + | 0.903123i | 0.760981 | + | 0.648774i | \(0.224718\pi\) |
−0.967113 | + | 0.254348i | \(0.918139\pi\) | |||||||
\(278\) | 16.8858 | − | 8.13177i | 1.01274 | − | 0.487711i | ||||
\(279\) | −12.5935 | + | 5.89343i | −0.753952 | + | 0.352830i | ||||
\(280\) | −26.3555 | − | 1.47111i | −1.57504 | − | 0.0879157i | ||||
\(281\) | 7.64240 | + | 6.09461i | 0.455907 | + | 0.363574i | 0.824354 | − | 0.566075i | \(-0.191539\pi\) |
−0.368447 | + | 0.929649i | \(0.620110\pi\) | |||||||
\(282\) | −2.62148 | + | 7.36049i | −0.156107 | + | 0.438311i | ||||
\(283\) | 17.5089 | + | 13.9628i | 1.04079 | + | 0.830005i | 0.985706 | − | 0.168477i | \(-0.0538847\pi\) |
0.0550877 | + | 0.998482i | \(0.482456\pi\) | |||||||
\(284\) | −2.12679 | − | 4.41632i | −0.126202 | − | 0.262060i | ||||
\(285\) | 15.9026 | + | 25.6234i | 0.941990 | + | 1.51780i | ||||
\(286\) | −0.501396 | + | 1.04116i | −0.0296481 | + | 0.0615650i | ||||
\(287\) | 6.43885 | + | 15.5298i | 0.380073 | + | 0.916697i | ||||
\(288\) | −3.51207 | − | 16.2149i | −0.206951 | − | 0.955471i | ||||
\(289\) | 13.4138 | + | 6.45976i | 0.789049 | + | 0.379986i | ||||
\(290\) | 0.550772 | + | 2.41309i | 0.0323424 | + | 0.141701i | ||||
\(291\) | −17.1641 | − | 10.9182i | −1.00618 | − | 0.640038i | ||||
\(292\) | −2.46588 | − | 1.96647i | −0.144305 | − | 0.115079i | ||||
\(293\) | −8.71484 | −0.509126 | −0.254563 | − | 0.967056i | \(-0.581932\pi\) | ||||
−0.254563 | + | 0.967056i | \(0.581932\pi\) | |||||||
\(294\) | −4.72109 | − | 9.92681i | −0.275339 | − | 0.578943i | ||||
\(295\) | −35.7254 | −2.08002 | ||||||||
\(296\) | −7.66713 | − | 6.11433i | −0.445643 | − | 0.355388i | ||||
\(297\) | 20.2901 | + | 20.9772i | 1.17735 | + | 1.21722i | ||||
\(298\) | −2.56689 | − | 11.2463i | −0.148696 | − | 0.651479i | ||||
\(299\) | −0.748979 | − | 0.360689i | −0.0433146 | − | 0.0208592i | ||||
\(300\) | −4.63584 | − | 13.4881i | −0.267650 | − | 0.778736i | ||||
\(301\) | −3.05837 | − | 0.879977i | −0.176282 | − | 0.0507210i | ||||
\(302\) | −9.45742 | + | 19.6385i | −0.544213 | + | 1.13007i | ||||
\(303\) | 15.1062 | − | 9.37531i | 0.867827 | − | 0.538598i | ||||
\(304\) | 0.558958 | + | 1.16069i | 0.0320585 | + | 0.0665701i | ||||
\(305\) | −1.90211 | − | 1.51688i | −0.108914 | − | 0.0868562i | ||||
\(306\) | −3.54184 | − | 1.75435i | −0.202474 | − | 0.100289i | ||||
\(307\) | −14.4242 | − | 11.5029i | −0.823235 | − | 0.656508i | 0.118467 | − | 0.992958i | \(-0.462202\pi\) |
−0.941701 | + | 0.336450i | \(0.890774\pi\) | |||||||
\(308\) | −16.1707 | + | 6.70455i | −0.921410 | + | 0.382027i | ||||
\(309\) | 1.23758 | + | 1.99407i | 0.0704033 | + | 0.113439i | ||||
\(310\) | −13.1092 | + | 6.31306i | −0.744553 | + | 0.358558i | ||||
\(311\) | 6.18562 | − | 27.1010i | 0.350755 | − | 1.53676i | −0.424689 | − | 0.905339i | \(-0.639617\pi\) |
0.775444 | − | 0.631417i | \(-0.217526\pi\) | |||||||
\(312\) | −0.133048 | + | 1.12470i | −0.00753236 | + | 0.0636737i | ||||
\(313\) | 1.41668i | 0.0800756i | 0.999198 | + | 0.0400378i | \(0.0127478\pi\) | ||||
−0.999198 | + | 0.0400378i | \(0.987252\pi\) | |||||||
\(314\) | 0.248237 | − | 1.08760i | 0.0140088 | − | 0.0613766i | ||||
\(315\) | 18.5333 | − | 20.2951i | 1.04424 | − | 1.14350i | ||||
\(316\) | 2.19286 | + | 9.60753i | 0.123358 | + | 0.540466i | ||||
\(317\) | −20.9276 | + | 4.77659i | −1.17541 | + | 0.268280i | −0.765250 | − | 0.643733i | \(-0.777385\pi\) |
−0.410161 | + | 0.912013i | \(0.634528\pi\) | |||||||
\(318\) | −10.2381 | + | 6.35403i | −0.574123 | + | 0.356317i | ||||
\(319\) | 2.76096 | + | 3.46214i | 0.154584 | + | 0.193842i | ||||
\(320\) | −4.25812 | − | 18.6561i | −0.238036 | − | 1.04291i | ||||
\(321\) | −1.78541 | − | 16.6773i | −0.0996521 | − | 0.930836i | ||||
\(322\) | 3.36531 | + | 8.11679i | 0.187542 | + | 0.452331i | ||||
\(323\) | −7.12384 | − | 1.62597i | −0.396381 | − | 0.0904714i | ||||
\(324\) | 9.44782 | + | 4.81102i | 0.524879 | + | 0.267279i | ||||
\(325\) | 1.58631i | 0.0879929i | ||||||||
\(326\) | −13.3495 | − | 3.04694i | −0.739361 | − | 0.168754i | ||||
\(327\) | 6.28245 | + | 18.2790i | 0.347420 | + | 1.01083i | ||||
\(328\) | −14.3141 | + | 11.4151i | −0.790362 | + | 0.630293i | ||||
\(329\) | 12.9776 | − | 2.20951i | 0.715477 | − | 0.121814i | ||||
\(330\) | 21.4750 | + | 21.7146i | 1.18216 | + | 1.19535i | ||||
\(331\) | −5.17086 | + | 22.6550i | −0.284216 | + | 1.24523i | 0.608114 | + | 0.793849i | \(0.291926\pi\) |
−0.892331 | + | 0.451383i | \(0.850931\pi\) | |||||||
\(332\) | −8.27378 | + | 10.3750i | −0.454083 | + | 0.569402i | ||||
\(333\) | 9.97927 | − | 2.16147i | 0.546861 | − | 0.118448i | ||||
\(334\) | 3.01151 | − | 2.40160i | 0.164782 | − | 0.131409i | ||||
\(335\) | 13.8932 | + | 6.69062i | 0.759068 | + | 0.365548i | ||||
\(336\) | 0.879506 | − | 0.777771i | 0.0479810 | − | 0.0424309i | ||||
\(337\) | 13.3073 | − | 6.40846i | 0.724895 | − | 0.349091i | −0.0347793 | − | 0.999395i | \(-0.511073\pi\) |
0.759674 | + | 0.650304i | \(0.225359\pi\) | |||||||
\(338\) | −5.09357 | + | 10.5769i | −0.277053 | + | 0.575307i | ||||
\(339\) | 3.51697 | + | 32.8515i | 0.191015 | + | 1.78425i | ||||
\(340\) | 5.34070 | + | 2.57195i | 0.289640 | + | 0.139483i | ||||
\(341\) | −16.2303 | + | 20.3521i | −0.878919 | + | 1.10213i | ||||
\(342\) | −13.2988 | − | 3.19106i | −0.719118 | − | 0.172553i | ||||
\(343\) | −10.7017 | + | 15.1153i | −0.577840 | + | 0.816150i | ||||
\(344\) | − | 3.46577i | − | 0.186862i | ||||||
\(345\) | −15.6209 | + | 15.4484i | −0.840999 | + | 0.831716i | ||||
\(346\) | 3.17006 | − | 6.58269i | 0.170423 | − | 0.353888i | ||||
\(347\) | −14.9882 | + | 3.42097i | −0.804610 | + | 0.183647i | −0.604997 | − | 0.796228i | \(-0.706826\pi\) |
−0.199613 | + | 0.979875i | \(0.563969\pi\) | |||||||
\(348\) | 1.35736 | + | 0.863428i | 0.0727620 | + | 0.0462846i | ||||
\(349\) | −5.92677 | − | 12.3071i | −0.317253 | − | 0.658782i | 0.679971 | − | 0.733239i | \(-0.261992\pi\) |
−0.997224 | + | 0.0744562i | \(0.976278\pi\) | |||||||
\(350\) | 11.1685 | − | 12.5061i | 0.596981 | − | 0.668479i | ||||
\(351\) | −0.819828 | − | 0.847590i | −0.0437592 | − | 0.0452410i | ||||
\(352\) | −19.3663 | − | 24.2846i | −1.03223 | − | 1.29437i | ||||
\(353\) | 8.14937 | − | 3.92453i | 0.433747 | − | 0.208882i | −0.204253 | − | 0.978918i | \(-0.565476\pi\) |
0.638000 | + | 0.770037i | \(0.279762\pi\) | |||||||
\(354\) | 11.5196 | − | 11.3925i | 0.612261 | − | 0.605503i | ||||
\(355\) | 14.0469 | + | 3.20611i | 0.745530 | + | 0.170162i | ||||
\(356\) | −9.45713 | + | 11.8589i | −0.501227 | + | 0.628519i | ||||
\(357\) | 0.338750 | + | 6.65074i | 0.0179286 | + | 0.351995i | ||||
\(358\) | −4.24799 | − | 5.32681i | −0.224513 | − | 0.281531i | ||||
\(359\) | 10.2345 | + | 21.2521i | 0.540154 | + | 1.12164i | 0.975219 | + | 0.221242i | \(0.0710111\pi\) |
−0.435065 | + | 0.900399i | \(0.643275\pi\) | |||||||
\(360\) | 26.8209 | + | 13.2850i | 1.41359 | + | 0.700180i | ||||
\(361\) | −6.28351 | −0.330711 | ||||||||
\(362\) | 6.41006 | 0.336905 | ||||||||
\(363\) | 33.5235 | + | 11.9396i | 1.75953 | + | 0.626666i | ||||
\(364\) | 0.653380 | − | 0.270899i | 0.0342464 | − | 0.0141990i | ||||
\(365\) | 9.03830 | − | 2.06293i | 0.473086 | − | 0.107979i | ||||
\(366\) | 1.09705 | − | 0.117446i | 0.0573436 | − | 0.00613901i | ||||
\(367\) | 12.2394 | − | 9.76058i | 0.638890 | − | 0.509498i | −0.249626 | − | 0.968342i | \(-0.580308\pi\) |
0.888517 | + | 0.458844i | \(0.151736\pi\) | |||||||
\(368\) | −0.733757 | + | 0.585152i | −0.0382497 | + | 0.0305031i | ||||
\(369\) | 0.211568 | − | 19.0615i | 0.0110138 | − | 0.992304i | ||||
\(370\) | 10.4171 | − | 2.37763i | 0.541558 | − | 0.123607i | ||||
\(371\) | 17.7718 | + | 9.81423i | 0.922665 | + | 0.509530i | ||||
\(372\) | −3.17285 | + | 8.90860i | −0.164505 | + | 0.461889i | ||||
\(373\) | −1.78462 | −0.0924043 | −0.0462022 | − | 0.998932i | \(-0.514712\pi\) | ||||
−0.0462022 | + | 0.998932i | \(0.514712\pi\) | |||||||
\(374\) | −7.39984 | −0.382637 | ||||||||
\(375\) | 11.2436 | + | 4.00448i | 0.580618 | + | 0.206791i | ||||
\(376\) | 6.22027 | + | 12.9165i | 0.320786 | + | 0.666119i | ||||
\(377\) | −0.111557 | − | 0.139888i | −0.00574549 | − | 0.00720462i | ||||
\(378\) | 0.495833 | + | 12.4542i | 0.0255029 | + | 0.640575i | ||||
\(379\) | −15.5208 | + | 19.4624i | −0.797249 | + | 0.999718i | 0.202542 | + | 0.979274i | \(0.435080\pi\) |
−0.999791 | + | 0.0204448i | \(0.993492\pi\) | |||||||
\(380\) | 19.9966 | + | 4.56410i | 1.02581 | + | 0.234133i | ||||
\(381\) | −15.0353 | − | 15.2031i | −0.770281 | − | 0.778878i | ||||
\(382\) | 9.74311 | − | 4.69203i | 0.498501 | − | 0.240065i | ||||
\(383\) | −2.47060 | − | 3.09804i | −0.126242 | − | 0.158302i | 0.714694 | − | 0.699438i | \(-0.246566\pi\) |
−0.840936 | + | 0.541135i | \(0.817995\pi\) | |||||||
\(384\) | −8.84205 | − | 5.62451i | −0.451219 | − | 0.287025i | ||||
\(385\) | 14.2279 | − | 49.4491i | 0.725118 | − | 2.52016i | ||||
\(386\) | 0.457108 | + | 0.949196i | 0.0232662 | + | 0.0483128i | ||||
\(387\) | 2.79614 | + | 2.28107i | 0.142136 | + | 0.115954i | ||||
\(388\) | −13.4887 | + | 3.07870i | −0.684783 | + | 0.156297i | ||||
\(389\) | 6.07500 | − | 12.6149i | 0.308015 | − | 0.639599i | −0.688295 | − | 0.725431i | \(-0.741640\pi\) |
0.996310 | + | 0.0858318i | \(0.0273548\pi\) | |||||||
\(390\) | −0.867701 | − | 0.877385i | −0.0439377 | − | 0.0444281i | ||||
\(391\) | − | 5.32323i | − | 0.269207i | ||||||
\(392\) | −19.0417 | − | 6.64847i | −0.961752 | − | 0.335798i | ||||
\(393\) | 3.19989 | − | 27.0497i | 0.161413 | − | 1.36448i | ||||
\(394\) | −4.51917 | + | 5.66686i | −0.227672 | + | 0.285492i | ||||
\(395\) | −26.0979 | − | 12.5681i | −1.31313 | − | 0.632368i | ||||
\(396\) | 19.8481 | + | 0.220298i | 0.997406 | + | 0.0110704i | ||||
\(397\) | 11.1979 | − | 23.2528i | 0.562009 | − | 1.16702i | −0.405478 | − | 0.914105i | \(-0.632895\pi\) |
0.967487 | − | 0.252919i | \(-0.0813906\pi\) | |||||||
\(398\) | 4.00178 | − | 1.92715i | 0.200591 | − | 0.0965995i | ||||
\(399\) | 6.26353 | + | 22.1748i | 0.313569 | + | 1.11013i | ||||
\(400\) | 1.61353 | + | 0.777037i | 0.0806767 | + | 0.0388519i | ||||
\(401\) | 9.35340 | − | 7.45909i | 0.467087 | − | 0.372489i | −0.361480 | − | 0.932380i | \(-0.617728\pi\) |
0.828566 | + | 0.559891i | \(0.189157\pi\) | |||||||
\(402\) | −6.61343 | + | 2.27302i | −0.329848 | + | 0.113368i | ||||
\(403\) | 0.655789 | − | 0.822333i | 0.0326672 | − | 0.0409633i | ||||
\(404\) | 2.69074 | − | 11.7889i | 0.133869 | − | 0.586520i | ||||
\(405\) | −28.3710 | + | 12.8950i | −1.40977 | + | 0.640759i | ||||
\(406\) | −0.105399 | + | 1.88827i | −0.00523088 | + | 0.0937131i | ||||
\(407\) | 14.9457 | − | 11.9188i | 0.740831 | − | 0.590793i | ||||
\(408\) | −6.85842 | + | 2.35723i | −0.339543 | + | 0.116700i | ||||
\(409\) | −1.99606 | − | 0.455588i | −0.0986989 | − | 0.0225274i | 0.172886 | − | 0.984942i | \(-0.444691\pi\) |
−0.271585 | + | 0.962414i | \(0.587548\pi\) | |||||||
\(410\) | − | 19.9482i | − | 0.985170i | ||||||
\(411\) | −8.31498 | − | 0.983632i | −0.410148 | − | 0.0485190i | ||||
\(412\) | 1.55618 | + | 0.355188i | 0.0766675 | + | 0.0174989i | ||||
\(413\) | −26.2328 | − | 7.54788i | −1.29083 | − | 0.371407i | ||||
\(414\) | 0.110578 | − | 9.96266i | 0.00543459 | − | 0.489638i | ||||
\(415\) | −8.67964 | − | 38.0280i | −0.426067 | − | 1.86672i | ||||
\(416\) | 0.782502 | + | 0.981226i | 0.0383653 | + | 0.0481086i | ||||
\(417\) | 18.8809 | + | 30.4222i | 0.924599 | + | 1.48978i | ||||
\(418\) | −24.9626 | + | 5.69756i | −1.22096 | + | 0.278677i | ||||
\(419\) | 1.44495 | + | 6.33076i | 0.0705906 | + | 0.309278i | 0.997881 | − | 0.0650651i | \(-0.0207255\pi\) |
−0.927290 | + | 0.374343i | \(0.877868\pi\) | |||||||
\(420\) | −0.950871 | − | 18.6686i | −0.0463978 | − | 0.910936i | ||||
\(421\) | 1.27656 | − | 5.59297i | 0.0622157 | − | 0.272585i | −0.934246 | − | 0.356628i | \(-0.883926\pi\) |
0.996462 | + | 0.0840434i | \(0.0267834\pi\) | |||||||
\(422\) | 25.0645i | 1.22012i | ||||||||
\(423\) | −14.5149 | − | 3.48286i | −0.705740 | − | 0.169343i | ||||
\(424\) | −4.91970 | + | 21.5546i | −0.238922 | + | 1.04678i | ||||
\(425\) | −9.15196 | + | 4.40735i | −0.443935 | + | 0.213788i | ||||
\(426\) | −5.55179 | + | 3.44560i | −0.268985 | + | 0.166940i | ||||
\(427\) | −1.07622 | − | 1.51569i | −0.0520817 | − | 0.0733495i | ||||
\(428\) | −8.91882 | − | 7.11252i | −0.431108 | − | 0.343797i | ||||
\(429\) | −2.07973 | − | 0.740707i | −0.100410 | − | 0.0357617i | ||||
\(430\) | 2.95234 | + | 2.35441i | 0.142374 | + | 0.113540i | ||||
\(431\) | 12.9324 | + | 26.8544i | 0.622932 | + | 1.29353i | 0.938713 | + | 0.344700i | \(0.112019\pi\) |
−0.315780 | + | 0.948832i | \(0.602266\pi\) | |||||||
\(432\) | −1.26372 | + | 0.418714i | −0.0608007 | + | 0.0201454i | ||||
\(433\) | 9.44998 | − | 19.6231i | 0.454137 | − | 0.943025i | −0.540669 | − | 0.841236i | \(-0.681829\pi\) |
0.994806 | − | 0.101790i | \(-0.0324569\pi\) | |||||||
\(434\) | −10.9597 | + | 1.86596i | −0.526084 | + | 0.0895691i | ||||
\(435\) | −4.47184 | + | 1.53696i | −0.214408 | + | 0.0736918i | ||||
\(436\) | 11.8441 | + | 5.70380i | 0.567228 | + | 0.273163i | ||||
\(437\) | −4.09866 | − | 17.9574i | −0.196065 | − | 0.859018i | ||||
\(438\) | −2.25654 | + | 3.54741i | −0.107822 | + | 0.169502i | ||||
\(439\) | −3.41358 | − | 2.72224i | −0.162921 | − | 0.129925i | 0.538636 | − | 0.842539i | \(-0.318940\pi\) |
−0.701557 | + | 0.712613i | \(0.747511\pi\) | |||||||
\(440\) | 56.0360 | 2.67141 | ||||||||
\(441\) | 17.8967 | − | 10.9868i | 0.852222 | − | 0.523181i | ||||
\(442\) | 0.298992 | 0.0142216 | ||||||||
\(443\) | 3.51491 | + | 2.80304i | 0.166998 | + | 0.133177i | 0.703423 | − | 0.710772i | \(-0.251654\pi\) |
−0.536425 | + | 0.843948i | \(0.680225\pi\) | |||||||
\(444\) | 3.72733 | − | 5.85958i | 0.176891 | − | 0.278084i | ||||
\(445\) | −9.92103 | − | 43.4669i | −0.470302 | − | 2.06053i | ||||
\(446\) | −9.74182 | − | 4.69142i | −0.461289 | − | 0.222145i | ||||
\(447\) | 20.8411 | − | 7.16306i | 0.985752 | − | 0.338801i | ||||
\(448\) | 0.814863 | − | 14.5986i | 0.0384987 | − | 0.689717i | ||||
\(449\) | 2.15752 | − | 4.48014i | 0.101820 | − | 0.211431i | −0.843835 | − | 0.536602i | \(-0.819708\pi\) |
0.945655 | + | 0.325171i | \(0.105422\pi\) | |||||||
\(450\) | −17.2199 | + | 8.05845i | −0.811752 | + | 0.379879i | ||||
\(451\) | −15.4848 | − | 32.1546i | −0.729153 | − | 1.51410i | ||||
\(452\) | 17.5686 | + | 14.0105i | 0.826356 | + | 0.658997i | ||||
\(453\) | −39.2282 | − | 13.9714i | −1.84310 | − | 0.656431i | ||||
\(454\) | 0.0681889 | + | 0.0543788i | 0.00320026 | + | 0.00255212i | ||||
\(455\) | −0.574880 | + | 1.99800i | −0.0269508 | + | 0.0936678i | ||||
\(456\) | −21.3213 | + | 13.2326i | −0.998460 | + | 0.619672i | ||||
\(457\) | −6.11810 | + | 2.94632i | −0.286193 | + | 0.137823i | −0.571473 | − | 0.820621i | \(-0.693628\pi\) |
0.285280 | + | 0.958444i | \(0.407913\pi\) | |||||||
\(458\) | −1.70266 | + | 7.45986i | −0.0795603 | + | 0.348576i | ||||
\(459\) | 2.61224 | − | 7.08477i | 0.121929 | − | 0.330689i | ||||
\(460\) | 14.9423i | 0.696688i | ||||||||
\(461\) | −0.228063 | + | 0.999207i | −0.0106219 | + | 0.0465377i | −0.979961 | − | 0.199189i | \(-0.936169\pi\) |
0.969339 | + | 0.245726i | \(0.0790265\pi\) | |||||||
\(462\) | 11.1811 | + | 20.4819i | 0.520190 | + | 0.952905i | ||||
\(463\) | 7.63565 | + | 33.4540i | 0.354859 | + | 1.55474i | 0.765802 | + | 0.643077i | \(0.222342\pi\) |
−0.410943 | + | 0.911661i | \(0.634800\pi\) | |||||||
\(464\) | −0.196934 | + | 0.0449489i | −0.00914243 | + | 0.00208670i | ||||
\(465\) | −14.6581 | − | 23.6181i | −0.679751 | − | 1.09526i | ||||
\(466\) | 0.365529 | + | 0.458358i | 0.0169328 | + | 0.0212330i | ||||
\(467\) | 7.71614 | + | 33.8066i | 0.357060 | + | 1.56438i | 0.760476 | + | 0.649366i | \(0.224966\pi\) |
−0.403416 | + | 0.915017i | \(0.632177\pi\) | |||||||
\(468\) | −0.801968 | − | 0.00890120i | −0.0370710 | − | 0.000411458i | ||||
\(469\) | 8.78808 | + | 7.84814i | 0.405796 | + | 0.362393i | ||||
\(470\) | −15.2287 | − | 3.47584i | −0.702446 | − | 0.160329i | ||||
\(471\) | 2.11645 | + | 0.250369i | 0.0975211 | + | 0.0115364i | ||||
\(472\) | − | 29.7272i | − | 1.36830i | ||||||
\(473\) | 6.58651 | + | 1.50333i | 0.302848 | + | 0.0691231i | ||||
\(474\) | 12.4231 | − | 4.26978i | 0.570610 | − | 0.196118i | ||||
\(475\) | −27.4798 | + | 21.9144i | −1.26086 | + | 1.00550i | ||||
\(476\) | 3.37823 | + | 3.01691i | 0.154841 | + | 0.138280i | ||||
\(477\) | −14.1520 | − | 18.1558i | −0.647976 | − | 0.831298i | ||||
\(478\) | 2.29941 | − | 10.0744i | 0.105172 | − | 0.460790i | ||||
\(479\) | 9.27642 | − | 11.6323i | 0.423850 | − | 0.531492i | −0.523357 | − | 0.852114i | \(-0.675320\pi\) |
0.947207 | + | 0.320622i | \(0.103892\pi\) | |||||||
\(480\) | 31.3670 | − | 10.7808i | 1.43170 | − | 0.492074i | ||||
\(481\) | −0.603885 | + | 0.481582i | −0.0275348 | + | 0.0219583i | ||||
\(482\) | −13.6284 | − | 6.56308i | −0.620756 | − | 0.298940i | ||||
\(483\) | −14.7341 | + | 8.04332i | −0.670424 | + | 0.365984i | ||||
\(484\) | 21.8065 | − | 10.5014i | 0.991204 | − | 0.477339i | ||||
\(485\) | 17.6452 | − | 36.6406i | 0.801226 | − | 1.66376i | ||||
\(486\) | 5.03611 | − | 13.2052i | 0.228442 | − | 0.599000i | ||||
\(487\) | 14.8379 | + | 7.14554i | 0.672368 | + | 0.323795i | 0.738731 | − | 0.674000i | \(-0.235425\pi\) |
−0.0663633 | + | 0.997796i | \(0.521140\pi\) | |||||||
\(488\) | 1.26220 | − | 1.58274i | 0.0571369 | − | 0.0716474i | ||||
\(489\) | 3.07311 | − | 25.9781i | 0.138971 | − | 1.17477i | ||||
\(490\) | 18.5992 | − | 11.7043i | 0.840226 | − | 0.528746i | ||||
\(491\) | 37.2531i | 1.68121i | 0.541651 | + | 0.840604i | \(0.317800\pi\) | ||||
−0.541651 | + | 0.840604i | \(0.682200\pi\) | |||||||
\(492\) | −9.11675 | − | 9.21850i | −0.411015 | − | 0.415602i | ||||
\(493\) | 0.497115 | − | 1.03227i | 0.0223890 | − | 0.0464911i | ||||
\(494\) | 1.00862 | − | 0.230211i | 0.0453800 | − | 0.0103577i | ||||
\(495\) | −36.8814 | + | 45.2093i | −1.65770 | + | 2.03201i | ||||
\(496\) | −0.515214 | − | 1.06985i | −0.0231338 | − | 0.0480378i | ||||
\(497\) | 9.63708 | + | 5.32196i | 0.432282 | + | 0.238722i | ||||
\(498\) | 14.9255 | + | 9.49423i | 0.668826 | + | 0.425446i | ||||
\(499\) | −3.91688 | − | 4.91162i | −0.175344 | − | 0.219874i | 0.686392 | − | 0.727232i | \(-0.259194\pi\) |
−0.861735 | + | 0.507358i | \(0.830622\pi\) | |||||||
\(500\) | 7.31379 | − | 3.52214i | 0.327083 | − | 0.157515i | ||||
\(501\) | 5.17444 | + | 5.23219i | 0.231177 | + | 0.233757i | ||||
\(502\) | 15.3791 | + | 3.51017i | 0.686401 | + | 0.156666i | ||||
\(503\) | −4.97153 | + | 6.23411i | −0.221670 | + | 0.277965i | −0.880214 | − | 0.474577i | \(-0.842601\pi\) |
0.658544 | + | 0.752542i | \(0.271173\pi\) | |||||||
\(504\) | 16.8875 | + | 15.4216i | 0.752230 | + | 0.686933i | ||||
\(505\) | 22.1609 | + | 27.7889i | 0.986146 | + | 1.23659i | ||||
\(506\) | −8.09328 | − | 16.8059i | −0.359790 | − | 0.747112i | ||||
\(507\) | −21.1275 | − | 7.52468i | −0.938304 | − | 0.334183i | ||||
\(508\) | −14.5427 | −0.645227 | ||||||||
\(509\) | −12.8997 | −0.571767 | −0.285884 | − | 0.958264i | \(-0.592287\pi\) | ||||
−0.285884 | + | 0.958264i | \(0.592287\pi\) | |||||||
\(510\) | 2.65113 | − | 7.44374i | 0.117394 | − | 0.329614i | ||||
\(511\) | 7.07257 | + | 0.394777i | 0.312872 | + | 0.0174639i | ||||
\(512\) | 2.82075 | − | 0.643817i | 0.124661 | − | 0.0284530i | ||||
\(513\) | 3.35719 | − | 25.9111i | 0.148223 | − | 1.14400i | ||||
\(514\) | −6.91406 | + | 5.51378i | −0.304966 | + | 0.243202i | ||||
\(515\) | −3.66823 | + | 2.92532i | −0.161642 | + | 0.128905i | ||||
\(516\) | 2.44036 | − | 0.261256i | 0.107431 | − | 0.0115012i | ||||
\(517\) | −27.2453 | + | 6.21857i | −1.19825 | + | 0.273492i | ||||
\(518\) | 8.15147 | + | 0.454999i | 0.358155 | + | 0.0199915i | ||||
\(519\) | 13.1490 | + | 4.68309i | 0.577177 | + | 0.205565i | ||||
\(520\) | −2.26415 | −0.0992895 | ||||||||
\(521\) | −11.3286 | −0.496314 | −0.248157 | − | 0.968720i | \(-0.579825\pi\) | ||||
−0.248157 | + | 0.968720i | \(0.579825\pi\) | |||||||
\(522\) | 0.951818 | − | 1.92162i | 0.0416599 | − | 0.0841069i | ||||
\(523\) | 0.649449 | + | 1.34859i | 0.0283984 | + | 0.0589699i | 0.914685 | − | 0.404166i | \(-0.132438\pi\) |
−0.886287 | + | 0.463136i | \(0.846724\pi\) | |||||||
\(524\) | −11.5506 | − | 14.4840i | −0.504590 | − | 0.632736i | ||||
\(525\) | 26.0275 | + | 18.6721i | 1.13593 | + | 0.814919i | ||||
\(526\) | −5.25802 | + | 6.59335i | −0.229261 | + | 0.287484i | ||||
\(527\) | 6.56632 | + | 1.49872i | 0.286033 | + | 0.0652853i | ||||
\(528\) | −1.77215 | + | 1.75259i | −0.0771228 | + | 0.0762716i | ||||
\(529\) | −8.63264 | + | 4.15726i | −0.375332 | + | 0.180750i | ||||
\(530\) | −15.0193 | − | 18.8336i | −0.652398 | − | 0.818081i | ||||
\(531\) | 23.9835 | + | 19.5656i | 1.04080 | + | 0.849075i | ||||
\(532\) | 13.7190 | + | 7.57615i | 0.594795 | + | 0.328468i | ||||
\(533\) | 0.625669 | + | 1.29921i | 0.0271007 | + | 0.0562752i | ||||
\(534\) | 17.0602 | + | 10.8521i | 0.738266 | + | 0.469618i | ||||
\(535\) | 32.6906 | − | 7.46142i | 1.41334 | − | 0.322585i | ||||
\(536\) | −5.56727 | + | 11.5606i | −0.240470 | + | 0.499340i | ||||
\(537\) | 9.25480 | − | 9.15265i | 0.399374 | − | 0.394966i | ||||
\(538\) | 5.46255i | 0.235507i | ||||||||
\(539\) | 20.8947 | − | 33.3039i | 0.899998 | − | 1.43450i | ||||
\(540\) | −7.33257 | + | 19.8869i | −0.315544 | + | 0.855798i | ||||
\(541\) | −10.4547 | + | 13.1098i | −0.449483 | + | 0.563634i | −0.954015 | − | 0.299759i | \(-0.903094\pi\) |
0.504532 | + | 0.863393i | \(0.331665\pi\) | |||||||
\(542\) | −4.41848 | − | 2.12783i | −0.189790 | − | 0.0913979i | ||||
\(543\) | 1.30356 | + | 12.1764i | 0.0559413 | + | 0.522539i | ||||
\(544\) | −3.48694 | + | 7.24071i | −0.149501 | + | 0.310443i | ||||
\(545\) | −34.8143 | + | 16.7657i | −1.49128 | + | 0.718162i | ||||
\(546\) | −0.451773 | − | 0.827577i | −0.0193341 | − | 0.0354170i | ||||
\(547\) | 16.7237 | + | 8.05372i | 0.715055 | + | 0.344352i | 0.755787 | − | 0.654818i | \(-0.227255\pi\) |
−0.0407318 | + | 0.999170i | \(0.512969\pi\) | |||||||
\(548\) | −4.45232 | + | 3.55061i | −0.190194 | + | 0.151674i | ||||
\(549\) | 0.446196 | + | 2.06004i | 0.0190432 | + | 0.0879205i | ||||
\(550\) | −22.1927 | + | 27.8287i | −0.946299 | + | 1.18662i | ||||
\(551\) | 0.882166 | − | 3.86502i | 0.0375815 | − | 0.164655i | ||||
\(552\) | −12.8547 | − | 12.9981i | −0.547131 | − | 0.553237i | ||||
\(553\) | −16.5081 | − | 14.7424i | −0.701994 | − | 0.626911i | ||||
\(554\) | 10.9284 | − | 8.71511i | 0.464303 | − | 0.370269i | ||||
\(555\) | 6.63493 | + | 19.3045i | 0.281637 | + | 0.819431i | ||||
\(556\) | 23.7416 | + | 5.41886i | 1.00687 | + | 0.229811i | ||||
\(557\) | 42.0215i | 1.78051i | 0.455466 | + | 0.890253i | \(0.349473\pi\) | ||||
−0.455466 | + | 0.890253i | \(0.650527\pi\) | |||||||
\(558\) | 12.2580 | + | 2.94132i | 0.518924 | + | 0.124516i | ||||
\(559\) | −0.266130 | − | 0.0607423i | −0.0112561 | − | 0.00256913i | ||||
\(560\) | 1.75069 | + | 1.56344i | 0.0739802 | + | 0.0660675i | ||||
\(561\) | −1.50485 | − | 14.0566i | −0.0635347 | − | 0.593469i | ||||
\(562\) | −1.97204 | − | 8.64009i | −0.0831856 | − | 0.364460i | ||||
\(563\) | 24.5154 | + | 30.7414i | 1.03320 | + | 1.29559i | 0.954345 | + | 0.298708i | \(0.0965555\pi\) |
0.0788567 | + | 0.996886i | \(0.474873\pi\) | |||||||
\(564\) | −8.62604 | + | 5.35357i | −0.363222 | + | 0.225426i | ||||
\(565\) | −64.3950 | + | 14.6977i | −2.70912 | + | 0.618338i | ||||
\(566\) | −4.51798 | − | 19.7946i | −0.189905 | − | 0.832028i | ||||
\(567\) | −23.5569 | + | 3.47459i | −0.989297 | + | 0.145919i | ||||
\(568\) | −2.66780 | + | 11.6884i | −0.111938 | + | 0.490435i | ||||
\(569\) | 2.08712i | 0.0874966i | 0.999043 | + | 0.0437483i | \(0.0139300\pi\) | ||||
−0.999043 | + | 0.0437483i | \(0.986070\pi\) | |||||||
\(570\) | 3.21198 | − | 27.1520i | 0.134535 | − | 1.13727i | ||||
\(571\) | −3.85240 | + | 16.8785i | −0.161218 | + | 0.706343i | 0.828101 | + | 0.560579i | \(0.189421\pi\) |
−0.989319 | + | 0.145764i | \(0.953436\pi\) | |||||||
\(572\) | −1.35283 | + | 0.651488i | −0.0565646 | + | 0.0272401i | ||||
\(573\) | 10.8943 | + | 17.5536i | 0.455114 | + | 0.733312i | ||||
\(574\) | 4.21455 | − | 14.6477i | 0.175912 | − | 0.611384i | ||||
\(575\) | −20.0192 | − | 15.9648i | −0.834857 | − | 0.665777i | ||||
\(576\) | −7.35869 | + | 14.8564i | −0.306612 | + | 0.619016i | ||||
\(577\) | 6.41083 | + | 5.11247i | 0.266886 | + | 0.212835i | 0.747784 | − | 0.663942i | \(-0.231118\pi\) |
−0.480898 | + | 0.876777i | \(0.659689\pi\) | |||||||
\(578\) | −5.85660 | − | 12.1614i | −0.243603 | − | 0.505846i | ||||
\(579\) | −1.71011 | + | 1.06134i | −0.0710698 | + | 0.0441079i | ||||
\(580\) | −1.39540 | + | 2.89758i | −0.0579409 | + | 0.120316i | ||||
\(581\) | 1.66099 | − | 29.7573i | 0.0689096 | − | 1.23454i | ||||
\(582\) | 5.99464 | + | 17.4416i | 0.248486 | + | 0.722977i | ||||
\(583\) | −38.8295 | − | 18.6993i | −1.60815 | − | 0.774445i | ||||
\(584\) | 1.71657 | + | 7.52078i | 0.0710321 | + | 0.311212i | ||||
\(585\) | 1.49020 | − | 1.82669i | 0.0616123 | − | 0.0755244i | ||||
\(586\) | 6.17734 | + | 4.92627i | 0.255184 | + | 0.203502i | ||||
\(587\) | −39.5515 | −1.63247 | −0.816233 | − | 0.577722i | \(-0.803942\pi\) | ||||
−0.816233 | + | 0.577722i | \(0.803942\pi\) | |||||||
\(588\) | 3.24600 | − | 13.9091i | 0.133863 | − | 0.573600i | ||||
\(589\) | 23.3048 | 0.960257 | ||||||||
\(590\) | 25.3233 | + | 20.1946i | 1.04254 | + | 0.831400i | ||||
\(591\) | −11.6837 | − | 7.43208i | −0.480602 | − | 0.305715i | ||||
\(592\) | 0.194040 | + | 0.850145i | 0.00797500 | + | 0.0349407i | ||||
\(593\) | 34.3043 | + | 16.5201i | 1.40871 | + | 0.678398i | 0.974907 | − | 0.222611i | \(-0.0714578\pi\) |
0.433801 | + | 0.901009i | \(0.357172\pi\) | |||||||
\(594\) | −2.52440 | − | 26.3388i | −0.103577 | − | 1.08069i | ||||
\(595\) | −13.1244 | + | 2.23450i | −0.538046 | + | 0.0916057i | ||||
\(596\) | 6.50332 | − | 13.5043i | 0.266386 | − | 0.553157i | ||||
\(597\) | 4.47459 | + | 7.20977i | 0.183133 | + | 0.295076i | ||||
\(598\) | 0.327011 | + | 0.679045i | 0.0133725 | + | 0.0277682i | ||||
\(599\) | −31.0031 | − | 24.7242i | −1.26675 | − | 1.01020i | −0.998907 | − | 0.0467406i | \(-0.985117\pi\) |
−0.267846 | − | 0.963462i | \(-0.586312\pi\) | |||||||
\(600\) | −11.7041 | + | 32.8621i | −0.477816 | + | 1.34159i | ||||
\(601\) | −10.9817 | − | 8.75757i | −0.447951 | − | 0.357229i | 0.373382 | − | 0.927678i | \(-0.378198\pi\) |
−0.821333 | + | 0.570449i | \(0.806769\pi\) | |||||||
\(602\) | 1.67044 | + | 2.35257i | 0.0680820 | + | 0.0958836i | ||||
\(603\) | −5.66270 | − | 12.1005i | −0.230603 | − | 0.492769i | ||||
\(604\) | −25.5173 | + | 12.2885i | −1.03828 | + | 0.500011i | ||||
\(605\) | −15.8308 | + | 69.3593i | −0.643613 | + | 2.81985i | ||||
\(606\) | −16.0073 | − | 1.89361i | −0.650253 | − | 0.0769226i | ||||
\(607\) | − | 2.06865i | − | 0.0839637i | −0.999118 | − | 0.0419819i | \(-0.986633\pi\) | ||
0.999118 | − | 0.0419819i | \(-0.0133672\pi\) | |||||||
\(608\) | −6.18782 | + | 27.1106i | −0.250949 | + | 1.09948i | ||||
\(609\) | −3.60834 | + | 0.183788i | −0.146217 | + | 0.00744746i | ||||
\(610\) | 0.490819 | + | 2.15042i | 0.0198727 | + | 0.0870679i | ||||
\(611\) | 1.10085 | − | 0.251263i | 0.0445358 | − | 0.0101650i | ||||
\(612\) | −2.17680 | − | 4.65154i | −0.0879920 | − | 0.188028i | ||||
\(613\) | 7.95829 | + | 9.97938i | 0.321432 | + | 0.403063i | 0.916127 | − | 0.400888i | \(-0.131298\pi\) |
−0.594695 | + | 0.803952i | \(0.702727\pi\) | |||||||
\(614\) | 3.72203 | + | 16.3073i | 0.150209 | + | 0.658108i | ||||
\(615\) | 37.8931 | − | 4.05671i | 1.52800 | − | 0.163582i | ||||
\(616\) | 41.1466 | + | 11.8390i | 1.65784 | + | 0.477007i | ||||
\(617\) | 26.1192 | + | 5.96153i | 1.05152 | + | 0.240002i | 0.713150 | − | 0.701011i | \(-0.247268\pi\) |
0.338369 | + | 0.941014i | \(0.390125\pi\) | |||||||
\(618\) | 0.249963 | − | 2.11303i | 0.0100550 | − | 0.0849984i | ||||
\(619\) | 43.0010i | 1.72836i | 0.503185 | + | 0.864179i | \(0.332161\pi\) | ||||
−0.503185 | + | 0.864179i | \(0.667839\pi\) | |||||||
\(620\) | −18.4317 | − | 4.20691i | −0.740233 | − | 0.168953i | ||||
\(621\) | 18.9473 | − | 1.81598i | 0.760330 | − | 0.0728727i | ||||
\(622\) | −19.7040 | + | 15.7134i | −0.790059 | + | 0.630051i | ||||
\(623\) | 1.89856 | − | 34.0133i | 0.0760640 | − | 1.36271i | ||||
\(624\) | 0.0716040 | − | 0.0708137i | 0.00286646 | − | 0.00283482i | ||||
\(625\) | 2.46761 | − | 10.8113i | 0.0987042 | − | 0.432451i | ||||
\(626\) | 0.800813 | − | 1.00419i | 0.0320069 | − | 0.0401354i | ||||
\(627\) | −15.8994 | − | 46.2598i | −0.634961 | − | 1.84744i | ||||
\(628\) | 1.13327 | − | 0.903753i | 0.0452224 | − | 0.0360637i | ||||
\(629\) | −4.45621 | − | 2.14600i | −0.177681 | − | 0.0855666i | ||||
\(630\) | −24.6093 | + | 3.90935i | −0.980456 | + | 0.155752i | ||||
\(631\) | −21.2937 | + | 10.2545i | −0.847687 | + | 0.408225i | −0.806719 | − | 0.590936i | \(-0.798759\pi\) |
−0.0409685 | + | 0.999160i | \(0.513044\pi\) | |||||||
\(632\) | 10.4579 | − | 21.7161i | 0.415993 | − | 0.863818i | ||||
\(633\) | −47.6120 | + | 5.09717i | −1.89241 | + | 0.202595i | ||||
\(634\) | 17.5342 | + | 8.44402i | 0.696372 | + | 0.335355i | ||||
\(635\) | 26.6520 | − | 33.4206i | 1.05765 | − | 1.32625i | ||||
\(636\) | −15.5482 | − | 1.83929i | −0.616525 | − | 0.0729326i | ||||
\(637\) | −0.844255 | + | 1.34565i | −0.0334506 | + | 0.0533167i | ||||
\(638\) | − | 4.01476i | − | 0.158946i | ||||||
\(639\) | −7.67420 | − | 9.84535i | −0.303587 | − | 0.389476i | ||||
\(640\) | 9.08988 | − | 18.8753i | 0.359309 | − | 0.746113i | ||||
\(641\) | 46.0911 | − | 10.5200i | 1.82049 | − | 0.415515i | 0.830543 | − | 0.556954i | \(-0.188030\pi\) |
0.989947 | + | 0.141439i | \(0.0451730\pi\) | |||||||
\(642\) | −8.16168 | + | 12.8306i | −0.322116 | + | 0.506384i | ||||
\(643\) | 7.41243 | + | 15.3921i | 0.292318 | + | 0.607004i | 0.994470 | − | 0.105023i | \(-0.0334916\pi\) |
−0.702152 | + | 0.712027i | \(0.747777\pi\) | |||||||
\(644\) | −3.15693 | + | 10.9720i | −0.124400 | + | 0.432356i | ||||
\(645\) | −3.87199 | + | 6.08699i | −0.152459 | + | 0.239675i | ||||
\(646\) | 4.13048 | + | 5.17946i | 0.162511 | + | 0.203783i | ||||
\(647\) | 23.0400 | − | 11.0955i | 0.905795 | − | 0.436208i | 0.0778162 | − | 0.996968i | \(-0.475205\pi\) |
0.827978 | + | 0.560760i | \(0.189491\pi\) | |||||||
\(648\) | −10.7300 | − | 23.6075i | −0.421512 | − | 0.927391i | ||||
\(649\) | 56.4949 | + | 12.8946i | 2.21762 | + | 0.506157i | ||||
\(650\) | 0.896701 | − | 1.12443i | 0.0351715 | − | 0.0441037i | ||||
\(651\) | −5.77334 | − | 20.4394i | −0.226275 | − | 0.801082i | ||||
\(652\) | −11.0930 | − | 13.9101i | −0.434434 | − | 0.544763i | ||||
\(653\) | −10.8040 | − | 22.4347i | −0.422792 | − | 0.877937i | −0.998194 | − | 0.0600663i | \(-0.980869\pi\) |
0.575402 | − | 0.817871i | \(-0.304845\pi\) | |||||||
\(654\) | 5.87942 | − | 16.5080i | 0.229903 | − | 0.645513i | ||||
\(655\) | 54.4542 | 2.12770 | ||||||||
\(656\) | 1.62799 | 0.0635622 | ||||||||
\(657\) | −7.19748 | − | 3.56506i | −0.280800 | − | 0.139086i | ||||
\(658\) | −10.4479 | − | 5.76970i | −0.407301 | − | 0.224926i | ||||
\(659\) | −24.3532 | + | 5.55846i | −0.948665 | + | 0.216527i | −0.668741 | − | 0.743495i | \(-0.733167\pi\) |
−0.279924 | + | 0.960022i | \(0.590309\pi\) | |||||||
\(660\) | 4.22411 | + | 39.4568i | 0.164423 | + | 1.53585i | ||||
\(661\) | 18.8705 | − | 15.0487i | 0.733977 | − | 0.585327i | −0.183545 | − | 0.983011i | \(-0.558757\pi\) |
0.917522 | + | 0.397684i | \(0.130186\pi\) | |||||||
\(662\) | 16.4715 | − | 13.1356i | 0.640184 | − | 0.510530i | ||||
\(663\) | 0.0608037 | + | 0.567959i | 0.00236142 | + | 0.0220577i | ||||
\(664\) | 31.6431 | − | 7.22233i | 1.22799 | − | 0.280281i | ||||
\(665\) | −42.5532 | + | 17.6431i | −1.65014 | + | 0.684169i | ||||
\(666\) | −8.29543 | − | 4.10890i | −0.321441 | − | 0.159217i | ||||
\(667\) | 2.88810 | 0.111828 | ||||||||
\(668\) | 5.00491 | 0.193646 | ||||||||
\(669\) | 6.93059 | − | 19.4594i | 0.267952 | − | 0.752344i | ||||
\(670\) | −6.06591 | − | 12.5960i | −0.234346 | − | 0.486625i | ||||
\(671\) | 2.46042 | + | 3.08528i | 0.0949836 | + | 0.119106i | ||||
\(672\) | 25.3102 | − | 1.28915i | 0.976361 | − | 0.0497302i | ||||
\(673\) | −15.2793 | + | 19.1596i | −0.588973 | + | 0.738548i | −0.983614 | − | 0.180287i | \(-0.942297\pi\) |
0.394642 | + | 0.918835i | \(0.370869\pi\) | |||||||
\(674\) | −13.0551 | − | 2.97975i | −0.502865 | − | 0.114776i | ||||
\(675\) | −18.8095 | − | 31.0717i | −0.723979 | − | 1.19595i | ||||
\(676\) | −13.7431 | + | 6.61832i | −0.528580 | + | 0.254551i | ||||
\(677\) | −9.11140 | − | 11.4253i | −0.350179 | − | 0.439111i | 0.575281 | − | 0.817956i | \(-0.304893\pi\) |
−0.925460 | + | 0.378845i | \(0.876321\pi\) | |||||||
\(678\) | 16.0771 | − | 25.2742i | 0.617438 | − | 0.970649i | ||||
\(679\) | 20.6979 | − | 23.1768i | 0.794312 | − | 0.889443i | ||||
\(680\) | −6.29062 | − | 13.0626i | −0.241234 | − | 0.500928i | ||||
\(681\) | −0.0894297 | + | 0.140589i | −0.00342695 | + | 0.00538737i | ||||
\(682\) | 23.0090 | − | 5.25166i | 0.881062 | − | 0.201097i | ||||
\(683\) | 6.66366 | − | 13.8372i | 0.254978 | − | 0.529467i | −0.733709 | − | 0.679464i | \(-0.762212\pi\) |
0.988686 | + | 0.149997i | \(0.0479265\pi\) | |||||||
\(684\) | −10.9247 | − | 14.0155i | −0.417717 | − | 0.535896i | ||||
\(685\) | − | 16.7390i | − | 0.639564i | ||||||
\(686\) | 16.1300 | − | 4.66478i | 0.615846 | − | 0.178102i | ||||
\(687\) | −14.5168 | − | 1.71729i | −0.553852 | − | 0.0655187i | ||||
\(688\) | −0.192145 | + | 0.240942i | −0.00732547 | + | 0.00918584i | ||||
\(689\) | 1.56891 | + | 0.755549i | 0.0597708 | + | 0.0287841i | ||||
\(690\) | 19.8051 | − | 2.12027i | 0.753969 | − | 0.0807173i | ||||
\(691\) | 8.25330 | − | 17.1381i | 0.313970 | − | 0.651966i | −0.682943 | − | 0.730471i | \(-0.739300\pi\) |
0.996914 | + | 0.0785053i | \(0.0250148\pi\) | |||||||
\(692\) | 8.55320 | − | 4.11901i | 0.325144 | − | 0.156581i | ||||
\(693\) | −36.6332 | + | 25.4045i | −1.39158 | + | 0.965038i | ||||
\(694\) | 12.5579 | + | 6.04756i | 0.476691 | + | 0.229562i | ||||
\(695\) | −55.9637 | + | 44.6296i | −2.12282 | + | 1.69290i | ||||
\(696\) | −1.27891 | − | 3.72102i | −0.0484769 | − | 0.141045i | ||||
\(697\) | −5.75726 | + | 7.21937i | −0.218072 | + | 0.273453i | ||||
\(698\) | −2.75578 | + | 12.0739i | −0.104308 | + | 0.457003i | ||||
\(699\) | −0.796352 | + | 0.787562i | −0.0301208 | + | 0.0297883i | ||||
\(700\) | 21.4773 | − | 3.65665i | 0.811766 | − | 0.138208i | ||||
\(701\) | −5.96640 | + | 4.75804i | −0.225348 | + | 0.179709i | −0.729655 | − | 0.683815i | \(-0.760319\pi\) |
0.504307 | + | 0.863524i | \(0.331748\pi\) | |||||||
\(702\) | 0.101999 | + | 1.06422i | 0.00384970 | + | 0.0401666i | ||||
\(703\) | −16.6849 | − | 3.80823i | −0.629284 | − | 0.143630i | ||||
\(704\) | 31.0389i | 1.16982i | ||||||||
\(705\) | 3.50570 | − | 29.6349i | 0.132032 | − | 1.11611i | ||||
\(706\) | −7.99495 | − | 1.82480i | −0.300894 | − | 0.0686771i | ||||
\(707\) | 10.4014 | + | 25.0871i | 0.391184 | + | 0.943496i | ||||
\(708\) | 20.9318 | − | 2.24089i | 0.786667 | − | 0.0842179i | ||||
\(709\) | −0.412056 | − | 1.80533i | −0.0154751 | − | 0.0678007i | 0.966601 | − | 0.256287i | \(-0.0824991\pi\) |
−0.982076 | + | 0.188486i | \(0.939642\pi\) | |||||||
\(710\) | −8.14452 | − | 10.2129i | −0.305658 | − | 0.383283i | ||||
\(711\) | 10.6372 | + | 22.7302i | 0.398925 | + | 0.852451i | ||||
\(712\) | 36.1688 | − | 8.25530i | 1.35548 | − | 0.309380i | ||||
\(713\) | 3.77789 | + | 16.5520i | 0.141483 | + | 0.619878i | ||||
\(714\) | 3.51937 | − | 4.90573i | 0.131709 | − | 0.183592i | ||||
\(715\) | 0.982109 | − | 4.30290i | 0.0367288 | − | 0.160919i | ||||
\(716\) | − | 8.85277i | − | 0.330844i | ||||||
\(717\) | 19.6046 | + | 2.31916i | 0.732148 | + | 0.0866105i | ||||
\(718\) | 4.75873 | − | 20.8494i | 0.177594 | − | 0.778092i | ||||
\(719\) | −32.6813 | + | 15.7385i | −1.21881 | + | 0.586946i | −0.928979 | − | 0.370133i | \(-0.879312\pi\) |
−0.289827 | + | 0.957079i | \(0.593598\pi\) | |||||||
\(720\) | −1.12808 | − | 2.41056i | −0.0420410 | − | 0.0898362i | ||||
\(721\) | −3.31159 | + | 1.37302i | −0.123330 | + | 0.0511340i | ||||
\(722\) | 4.45394 | + | 3.55190i | 0.165759 | + | 0.132188i | ||||
\(723\) | 9.69558 | − | 27.2228i | 0.360583 | − | 1.01243i | ||||
\(724\) | 6.51179 | + | 5.19298i | 0.242009 | + | 0.192996i | ||||
\(725\) | −2.39120 | − | 4.96537i | −0.0888068 | − | 0.184409i | ||||
\(726\) | −17.0133 | − | 27.4131i | −0.631424 | − | 1.01740i | ||||
\(727\) | −12.6356 | + | 26.2380i | −0.468627 | + | 0.973114i | 0.523979 | + | 0.851731i | \(0.324447\pi\) |
−0.992606 | + | 0.121383i | \(0.961267\pi\) | |||||||
\(728\) | −1.66254 | − | 0.478358i | −0.0616178 | − | 0.0177291i | ||||
\(729\) | 26.1085 | + | 6.88103i | 0.966980 | + | 0.254853i | ||||
\(730\) | −7.57274 | − | 3.64684i | −0.280280 | − | 0.134976i | ||||
\(731\) | −0.388962 | − | 1.70415i | −0.0143863 | − | 0.0630303i | ||||
\(732\) | 1.20961 | + | 0.769442i | 0.0447084 | + | 0.0284394i | ||||
\(733\) | −33.4573 | − | 26.6813i | −1.23577 | − | 0.985497i | −0.999906 | − | 0.0137124i | \(-0.995635\pi\) |
−0.235869 | − | 0.971785i | \(-0.575793\pi\) | |||||||
\(734\) | −14.1930 | −0.523875 | ||||||||
\(735\) | 26.0156 | + | 32.9504i | 0.959599 | + | 1.21539i | ||||
\(736\) | −20.2582 | −0.746726 | ||||||||
\(737\) | −19.5554 | − | 15.5949i | −0.720331 | − | 0.574445i | ||||
\(738\) | −10.9249 | + | 13.3918i | −0.402153 | + | 0.492959i | ||||
\(739\) | 0.457796 | + | 2.00573i | 0.0168403 | + | 0.0737821i | 0.982650 | − | 0.185471i | \(-0.0593809\pi\) |
−0.965810 | + | 0.259253i | \(0.916524\pi\) | |||||||
\(740\) | 12.5086 | + | 6.02382i | 0.459825 | + | 0.221440i | ||||
\(741\) | 0.642420 | + | 1.86914i | 0.0235999 | + | 0.0686645i | ||||
\(742\) | −7.04945 | − | 17.0025i | −0.258793 | − | 0.624183i | ||||
\(743\) | 5.94052 | − | 12.3356i | 0.217937 | − | 0.452550i | −0.763124 | − | 0.646252i | \(-0.776335\pi\) |
0.981060 | + | 0.193702i | \(0.0620496\pi\) | |||||||
\(744\) | 19.6526 | − | 12.1970i | 0.720501 | − | 0.447163i | ||||
\(745\) | 19.1157 | + | 39.6942i | 0.700346 | + | 1.45428i | ||||
\(746\) | 1.26500 | + | 1.00880i | 0.0463148 | + | 0.0369348i | ||||
\(747\) | −14.9997 | + | 30.2828i | −0.548812 | + | 1.10799i | ||||
\(748\) | −7.51729 | − | 5.99484i | −0.274859 | − | 0.219193i | ||||
\(749\) | 25.5807 | + | 1.42787i | 0.934700 | + | 0.0521731i | ||||
\(750\) | −5.70619 | − | 9.19422i | −0.208361 | − | 0.335725i | ||||
\(751\) | 7.28091 | − | 3.50630i | 0.265684 | − | 0.127947i | −0.296300 | − | 0.955095i | \(-0.595753\pi\) |
0.561984 | + | 0.827148i | \(0.310038\pi\) | |||||||
\(752\) | 0.283666 | − | 1.24282i | 0.0103442 | − | 0.0453211i | ||||
\(753\) | −3.54032 | + | 29.9275i | −0.129016 | + | 1.09062i | ||||
\(754\) | 0.162218i | 0.00590761i | ||||||||
\(755\) | 18.5247 | − | 81.1621i | 0.674183 | − | 2.95379i | ||||
\(756\) | −9.58583 | + | 13.0536i | −0.348633 | + | 0.474753i | ||||
\(757\) | 6.87648 | + | 30.1278i | 0.249930 | + | 1.09501i | 0.931637 | + | 0.363389i | \(0.118380\pi\) |
−0.681708 | + | 0.731625i | \(0.738762\pi\) | |||||||
\(758\) | 22.0032 | − | 5.02209i | 0.799192 | − | 0.182410i | ||||
\(759\) | 30.2782 | − | 18.7915i | 1.09903 | − | 0.682088i | ||||
\(760\) | −31.2785 | − | 39.2219i | −1.13459 | − | 1.42273i | ||||
\(761\) | 1.28529 | + | 5.63123i | 0.0465918 | + | 0.204132i | 0.992866 | − | 0.119232i | \(-0.0380433\pi\) |
−0.946275 | + | 0.323364i | \(0.895186\pi\) | |||||||
\(762\) | 2.06357 | + | 19.2755i | 0.0747551 | + | 0.698276i | ||||
\(763\) | −29.1059 | + | 4.95546i | −1.05370 | + | 0.179400i | ||||
\(764\) | 13.6989 | + | 3.12668i | 0.495609 | + | 0.113119i | ||||
\(765\) | 14.6791 | + | 3.52226i | 0.530724 | + | 0.127347i | ||||
\(766\) | 3.59255i | 0.129804i | ||||||||
\(767\) | −2.28269 | − | 0.521009i | −0.0824232 | − | 0.0188126i | ||||
\(768\) | 9.31054 | + | 27.0893i | 0.335965 | + | 0.977500i | ||||
\(769\) | 24.8129 | − | 19.7876i | 0.894777 | − | 0.713561i | −0.0639307 | − | 0.997954i | \(-0.520364\pi\) |
0.958708 | + | 0.284394i | \(0.0917922\pi\) | |||||||
\(770\) | −38.0374 | + | 27.0084i | −1.37077 | + | 0.973315i | ||||
\(771\) | −11.8799 | − | 12.0125i | −0.427845 | − | 0.432620i | ||||
\(772\) | −0.304609 | + | 1.33458i | −0.0109631 | + | 0.0480325i | ||||
\(773\) | 20.0160 | − | 25.0993i | 0.719925 | − | 0.902758i | −0.278408 | − | 0.960463i | \(-0.589807\pi\) |
0.998334 | + | 0.0577049i | \(0.0183783\pi\) | |||||||
\(774\) | −0.692560 | − | 3.19748i | −0.0248936 | − | 0.114931i | ||||
\(775\) | 25.3292 | − | 20.1993i | 0.909851 | − | 0.725582i | ||||
\(776\) | 30.4887 | + | 14.6826i | 1.09448 | + | 0.527073i | ||||
\(777\) | 0.793395 | + | 15.5769i | 0.0284629 | + | 0.558817i | ||||
\(778\) | −11.4370 | + | 5.50777i | −0.410036 | + | 0.197463i | ||||
\(779\) | −13.8629 | + | 28.7867i | −0.496691 | + | 1.03139i | ||||
\(780\) | −0.170676 | − | 1.59426i | −0.00611118 | − | 0.0570837i | ||||
\(781\) | −21.0560 | − | 10.1400i | −0.753443 | − | 0.362839i | ||||
\(782\) | −3.00908 | + | 3.77326i | −0.107604 | + | 0.134932i | ||||
\(783\) | 3.84382 | + | 1.41727i | 0.137367 | + | 0.0506490i | ||||
\(784\) | 0.955196 | + | 1.51790i | 0.0341141 | + | 0.0542105i | ||||
\(785\) | 4.26066i | 0.152069i | ||||||||
\(786\) | −17.5587 | + | 17.3649i | −0.626297 | + | 0.619384i | ||||
\(787\) | 3.78079 | − | 7.85089i | 0.134771 | − | 0.279854i | −0.822651 | − | 0.568546i | \(-0.807506\pi\) |
0.957422 | + | 0.288692i | \(0.0932204\pi\) | |||||||
\(788\) | −9.18179 | + | 2.09568i | −0.327088 | + | 0.0746556i | ||||
\(789\) | −13.5939 | − | 8.64718i | −0.483954 | − | 0.307848i | ||||
\(790\) | 11.3946 | + | 23.6611i | 0.405401 | + | 0.841823i | ||||
\(791\) | −50.3898 | − | 2.81266i | −1.79165 | − | 0.100007i | ||||
\(792\) | −37.6186 | − | 30.6890i | −1.33672 | − | 1.09049i | ||||
\(793\) | −0.0994141 | − | 0.124661i | −0.00353030 | − | 0.00442685i | ||||
\(794\) | −21.0816 | + | 10.1524i | −0.748159 | + | 0.360294i | ||||
\(795\) | 32.7216 | − | 32.3604i | 1.16052 | − | 1.14771i | ||||
\(796\) | 5.62653 | + | 1.28422i | 0.199427 | + | 0.0455180i | ||||
\(797\) | 29.1952 | − | 36.6096i | 1.03415 | − | 1.29678i | 0.0802067 | − | 0.996778i | \(-0.474442\pi\) |
0.953939 | − | 0.300000i | \(-0.0969866\pi\) | |||||||
\(798\) | 8.09505 | − | 19.2588i | 0.286562 | − | 0.681753i | ||||
\(799\) | 4.50818 | + | 5.65309i | 0.159488 | + | 0.199992i | ||||
\(800\) | 16.7727 | + | 34.8288i | 0.593004 | + | 1.23139i | ||||
\(801\) | −17.1451 | + | 34.6140i | −0.605791 | + | 1.22303i | ||||
\(802\) | −10.8464 | −0.383000 | ||||||||
\(803\) | −15.0374 | −0.530660 | ||||||||
\(804\) | −8.55983 | − | 3.04864i | −0.301882 | − | 0.107517i | ||||
\(805\) | −19.4290 | − | 27.3630i | −0.684784 | − | 0.964418i | ||||
\(806\) | −0.929686 | + | 0.212195i | −0.0327468 | + | 0.00747424i | ||||
\(807\) | −10.3765 | + | 1.11088i | −0.365271 | + | 0.0391047i | ||||
\(808\) | −23.1231 | + | 18.4401i | −0.813468 | + | 0.648719i | ||||
\(809\) | −1.53258 | + | 1.22219i | −0.0538827 | + | 0.0429701i | −0.650061 | − | 0.759882i | \(-0.725257\pi\) |
0.596178 | + | 0.802852i | \(0.296685\pi\) | |||||||
\(810\) | 27.3994 | + | 6.89699i | 0.962718 | + | 0.242336i | ||||
\(811\) | −25.1561 | + | 5.74172i | −0.883351 | + | 0.201619i | −0.640051 | − | 0.768332i | \(-0.721087\pi\) |
−0.243299 | + | 0.969951i | \(0.578230\pi\) | |||||||
\(812\) | −1.63681 | + | 1.83285i | −0.0574409 | + | 0.0643204i | ||||
\(813\) | 3.14342 | − | 8.82595i | 0.110244 | − | 0.309540i | ||||
\(814\) | −17.3314 | −0.607464 | ||||||||
\(815\) | 52.2967 | 1.83187 | ||||||||
\(816\) | 0.607489 | + | 0.216361i | 0.0212664 | + | 0.00757415i | ||||
\(817\) | −2.62425 | − | 5.44931i | −0.0918108 | − | 0.190647i | ||||
\(818\) | 1.15734 | + | 1.45125i | 0.0404653 | + | 0.0507419i | ||||
\(819\) | 1.48017 | − | 1.02648i | 0.0517214 | − | 0.0358680i | ||||
\(820\) | 16.1606 | − | 20.2648i | 0.564353 | − | 0.707677i | ||||
\(821\) | 33.6950 | + | 7.69065i | 1.17596 | + | 0.268406i | 0.765478 | − | 0.643462i | \(-0.222503\pi\) |
0.410484 | + | 0.911868i | \(0.365360\pi\) | |||||||
\(822\) | 5.33789 | + | 5.39747i | 0.186180 | + | 0.188258i | ||||
\(823\) | 22.8809 | − | 11.0189i | 0.797578 | − | 0.384094i | 0.00972221 | − | 0.999953i | \(-0.496905\pi\) |
0.787856 | + | 0.615859i | \(0.211191\pi\) | |||||||
\(824\) | −2.43416 | − | 3.05234i | −0.0847979 | − | 0.106333i | ||||
\(825\) | −57.3760 | − | 36.4974i | −1.99758 | − | 1.27068i | ||||
\(826\) | 14.3280 | + | 20.1789i | 0.498534 | + | 0.702112i | ||||
\(827\) | −12.7413 | − | 26.4576i | −0.443059 | − | 0.920022i | −0.996213 | − | 0.0869428i | \(-0.972290\pi\) |
0.553154 | − | 0.833079i | \(-0.313424\pi\) | |||||||
\(828\) | 8.18339 | − | 10.0312i | 0.284392 | − | 0.348608i | ||||
\(829\) | −13.4805 | + | 3.07684i | −0.468197 | + | 0.106863i | −0.450109 | − | 0.892973i | \(-0.648615\pi\) |
−0.0180880 | + | 0.999836i | \(0.505758\pi\) | |||||||
\(830\) | −15.3438 | + | 31.8617i | −0.532591 | + | 1.10594i | ||||
\(831\) | 18.7774 | + | 18.9870i | 0.651382 | + | 0.658652i | ||||
\(832\) | − | 1.25414i | − | 0.0434793i | ||||||
\(833\) | −10.1092 | − | 1.13207i | −0.350261 | − | 0.0392240i | ||||
\(834\) | 3.81352 | − | 32.2370i | 0.132051 | − | 1.11628i | ||||
\(835\) | −9.17237 | + | 11.5018i | −0.317423 | + | 0.398036i | ||||
\(836\) | −29.9746 | − | 14.4350i | −1.03669 | − | 0.499245i | ||||
\(837\) | −3.09445 | + | 23.8833i | −0.106960 | + | 0.825526i | ||||
\(838\) | 2.55438 | − | 5.30423i | 0.0882396 | − | 0.183231i | ||||
\(839\) | 36.2471 | − | 17.4557i | 1.25139 | − | 0.602636i | 0.313504 | − | 0.949587i | \(-0.398497\pi\) |
0.937883 | + | 0.346951i | \(0.112783\pi\) | |||||||
\(840\) | −26.6508 | + | 37.1492i | −0.919540 | + | 1.28177i | ||||
\(841\) | −25.5680 | − | 12.3129i | −0.881657 | − | 0.424583i | ||||
\(842\) | −4.06642 | + | 3.24286i | −0.140138 | + | 0.111756i | ||||
\(843\) | 16.0115 | − | 5.50311i | 0.551464 | − | 0.189537i | ||||
\(844\) | −20.3055 | + | 25.4623i | −0.698945 | + | 0.876449i | ||||
\(845\) | 9.97703 | − | 43.7122i | 0.343220 | − | 1.50375i | ||||
\(846\) | 8.31985 | + | 10.6737i | 0.286042 | + | 0.366968i | ||||
\(847\) | −26.2782 | + | 47.5851i | −0.902931 | + | 1.63504i | ||||
\(848\) | 1.53703 | − | 1.22574i | 0.0527818 | − | 0.0420920i | ||||
\(849\) | 36.6825 | − | 12.6077i | 1.25894 | − | 0.432696i | ||||
\(850\) | 8.97854 | + | 2.04929i | 0.307962 | + | 0.0702902i | ||||
\(851\) | − | 12.4677i | − | 0.427386i | ||||||
\(852\) | −8.43129 | − | 0.997390i | −0.288851 | − | 0.0341700i | ||||
\(853\) | 15.0463 | + | 3.43423i | 0.515177 | + | 0.117586i | 0.472202 | − | 0.881490i | \(-0.343459\pi\) |
0.0429750 | + | 0.999076i | \(0.486316\pi\) | |||||||
\(854\) | −0.0939264 | + | 1.68273i | −0.00321410 | + | 0.0575817i | ||||
\(855\) | 52.2305 | + | 0.579716i | 1.78624 | + | 0.0198259i | ||||
\(856\) | 6.20865 | + | 27.2019i | 0.212207 | + | 0.929741i | ||||
\(857\) | −24.3165 | − | 30.4919i | −0.830634 | − | 1.04158i | −0.998444 | − | 0.0557629i | \(-0.982241\pi\) |
0.167810 | − | 0.985819i | \(-0.446331\pi\) | |||||||
\(858\) | 1.05547 | + | 1.70065i | 0.0360332 | + | 0.0580592i | ||||
\(859\) | 39.0611 | − | 8.91543i | 1.33275 | − | 0.304191i | 0.503946 | − | 0.863735i | \(-0.331881\pi\) |
0.828800 | + | 0.559545i | \(0.189024\pi\) | |||||||
\(860\) | 1.09182 | + | 4.78356i | 0.0372306 | + | 0.163118i | ||||
\(861\) | 28.6815 | + | 5.02706i | 0.977465 | + | 0.171322i | ||||
\(862\) | 6.01321 | − | 26.3456i | 0.204811 | − | 0.897334i | ||||
\(863\) | 39.8667i | 1.35708i | 0.734564 | + | 0.678539i | \(0.237387\pi\) | ||||
−0.734564 | + | 0.678539i | \(0.762613\pi\) | |||||||
\(864\) | −26.9619 | − | 9.94120i | −0.917262 | − | 0.338206i | ||||
\(865\) | −6.20935 | + | 27.2049i | −0.211124 | + | 0.924995i | ||||
\(866\) | −17.7908 | + | 8.56762i | −0.604557 | + | 0.291139i | ||||
\(867\) | 21.9104 | − | 13.5982i | 0.744117 | − | 0.461820i | ||||
\(868\) | −12.6453 | − | 6.98323i | −0.429211 | − | 0.237026i | ||||
\(869\) | 36.7340 | + | 29.2944i | 1.24611 | + | 0.993743i | ||||
\(870\) | 4.03858 | + | 1.43837i | 0.136921 | + | 0.0487652i | ||||
\(871\) | 0.790139 | + | 0.630115i | 0.0267728 | + | 0.0213506i | ||||
\(872\) | −13.9507 | − | 28.9690i | −0.472431 | − | 0.981013i | ||||
\(873\) | −31.9125 | + | 14.9342i | −1.08008 | + | 0.505447i | ||||
\(874\) | −7.24558 | + | 15.0456i | −0.245085 | + | 0.508925i | ||||
\(875\) | −8.81359 | + | 15.9598i | −0.297954 | + | 0.539540i | ||||
\(876\) | −5.16622 | + | 1.77562i | −0.174550 | + | 0.0599927i | ||||
\(877\) | 21.3211 | + | 10.2677i | 0.719963 | + | 0.346716i | 0.757728 | − | 0.652571i | \(-0.226310\pi\) |
−0.0377650 | + | 0.999287i | \(0.512024\pi\) | |||||||
\(878\) | 0.880840 | + | 3.85921i | 0.0297269 | + | 0.130242i | ||||
\(879\) | −8.10158 | + | 12.7362i | −0.273260 | + | 0.429580i | ||||
\(880\) | −3.89566 | − | 3.10669i | −0.131323 | − | 0.104726i | ||||
\(881\) | 13.6802 | 0.460897 | 0.230449 | − | 0.973085i | \(-0.425981\pi\) | ||||
0.230449 | + | 0.973085i | \(0.425981\pi\) | |||||||
\(882\) | −18.8962 | − | 2.32872i | −0.636269 | − | 0.0784121i | ||||
\(883\) | 44.6479 | 1.50252 | 0.751260 | − | 0.660006i | \(-0.229446\pi\) | ||||
0.751260 | + | 0.660006i | \(0.229446\pi\) | |||||||
\(884\) | 0.303738 | + | 0.242223i | 0.0102158 | + | 0.00814683i | ||||
\(885\) | −33.2115 | + | 52.2103i | −1.11639 | + | 1.75503i | ||||
\(886\) | −0.906986 | − | 3.97377i | −0.0304708 | − | 0.133501i | ||||
\(887\) | 36.3382 | + | 17.4995i | 1.22012 | + | 0.587577i | 0.929344 | − | 0.369215i | \(-0.120373\pi\) |
0.290773 | + | 0.956792i | \(0.406088\pi\) | |||||||
\(888\) | −16.0633 | + | 5.52093i | −0.539049 | + | 0.185270i | ||||
\(889\) | 26.6312 | − | 18.9094i | 0.893181 | − | 0.634202i | ||||
\(890\) | −17.5383 | + | 36.4187i | −0.587887 | + | 1.22076i | ||||
\(891\) | 49.5192 | − | 10.1516i | 1.65895 | − | 0.340092i | ||||
\(892\) | −6.09578 | − | 12.6580i | −0.204102 | − | 0.423822i | ||||
\(893\) | 19.5606 | + | 15.5990i | 0.654569 | + | 0.522001i | ||||
\(894\) | −18.8219 | − | 6.70354i | −0.629499 | − | 0.224200i | ||||
\(895\) | 20.3446 | + | 16.2243i | 0.680044 | + | 0.542317i | ||||
\(896\) | 10.6625 | − | 11.9395i | 0.356208 | − | 0.398870i | ||||
\(897\) | −1.22340 | + | 0.759274i | −0.0408480 | + | 0.0253514i | ||||
\(898\) | −4.06182 | + | 1.95607i | −0.135545 | + | 0.0652749i | ||||
\(899\) | −0.813127 | + | 3.56254i | −0.0271193 | + | 0.118817i | ||||
\(900\) | −24.0216 | − | 5.76399i | −0.800719 | − | 0.192133i | ||||
\(901\) | 11.1508i | 0.371486i | ||||||||
\(902\) | −7.20002 | + | 31.5453i | −0.239734 | + | 1.05034i | ||||
\(903\) | −4.12918 | + | 3.65155i | −0.137411 | + | 0.121516i | ||||
\(904\) | −12.2300 | − | 53.5831i | −0.406763 | − | 1.78215i | ||||
\(905\) | −23.8680 | + | 5.44772i | −0.793399 | + | 0.181088i | ||||
\(906\) | 19.9085 | + | 32.0780i | 0.661415 | + | 1.06572i | ||||
\(907\) | −29.8527 | − | 37.4341i | −0.991244 | − | 1.24298i | −0.969975 | − | 0.243206i | \(-0.921801\pi\) |
−0.0212691 | − | 0.999774i | \(-0.506771\pi\) | |||||||
\(908\) | 0.0252172 | + | 0.110484i | 0.000836862 | + | 0.00366653i | ||||
\(909\) | 0.341769 | − | 30.7922i | 0.0113358 | − | 1.02131i | ||||
\(910\) | 1.53691 | − | 1.09128i | 0.0509481 | − | 0.0361756i | ||||
\(911\) | −39.0731 | − | 8.91817i | −1.29455 | − | 0.295472i | −0.480872 | − | 0.876791i | \(-0.659680\pi\) |
−0.813676 | + | 0.581318i | \(0.802537\pi\) | |||||||
\(912\) | 2.21589 | + | 0.262132i | 0.0733756 | + | 0.00868006i | ||||
\(913\) | 63.2689i | 2.09389i | ||||||||
\(914\) | 6.00217 | + | 1.36996i | 0.198534 | + | 0.0453141i | ||||
\(915\) | −3.98507 | + | 1.36966i | −0.131742 | + | 0.0452796i | ||||
\(916\) | −7.77315 | + | 6.19888i | −0.256832 | + | 0.204817i | ||||
\(917\) | 39.9851 | + | 11.5048i | 1.32042 | + | 0.379922i | ||||
\(918\) | −5.85647 | + | 3.54526i | −0.193292 | + | 0.117011i | ||||
\(919\) | 6.26746 | − | 27.4596i | 0.206745 | − | 0.905807i | −0.759972 | − | 0.649956i | \(-0.774787\pi\) |
0.966716 | − | 0.255851i | \(-0.0823556\pi\) | |||||||
\(920\) | 22.7865 | − | 28.5734i | 0.751250 | − | 0.942038i | ||||
\(921\) | −30.2200 | + | 10.3866i | −0.995783 | + | 0.342249i | ||||
\(922\) | 0.726483 | − | 0.579351i | 0.0239254 | − | 0.0190799i | ||||
\(923\) | 0.850773 | + | 0.409711i | 0.0280035 | + | 0.0134858i | ||||
\(924\) | −5.23451 | + | 29.8651i | −0.172203 | + | 0.982490i | ||||
\(925\) | −21.4350 | + | 10.3226i | −0.704780 | + | 0.339404i | ||||
\(926\) | 13.4983 | − | 28.0294i | 0.443580 | − | 0.921104i | ||||
\(927\) | 4.06469 | + | 0.0451148i | 0.133502 | + | 0.00148176i | ||||
\(928\) | −3.92843 | − | 1.89183i | −0.128957 | − | 0.0621024i | ||||
\(929\) | 13.8131 | − | 17.3210i | 0.453192 | − | 0.568285i | −0.501775 | − | 0.864998i | \(-0.667319\pi\) |
0.954966 | + | 0.296714i | \(0.0958907\pi\) | |||||||
\(930\) | −2.96061 | + | 25.0270i | −0.0970821 | + | 0.820669i | ||||
\(931\) | −34.9739 | + | 3.96468i | −1.14622 | + | 0.129937i | ||||
\(932\) | 0.761759i | 0.0249522i | ||||||||
\(933\) | −33.8559 | − | 34.2338i | −1.10839 | − | 1.12076i | ||||
\(934\) | 13.6405 | − | 28.3249i | 0.446332 | − | 0.926818i | ||||
\(935\) | 27.5535 | − | 6.28890i | 0.901095 | − | 0.205669i | ||||
\(936\) | 1.51999 | + | 1.24000i | 0.0496824 | + | 0.0405306i | ||||
\(937\) | 2.19339 | + | 4.55462i | 0.0716549 | + | 0.148793i | 0.933719 | − | 0.358006i | \(-0.116543\pi\) |
−0.862065 | + | 0.506798i | \(0.830829\pi\) | |||||||
\(938\) | −1.79291 | − | 10.5307i | −0.0585407 | − | 0.343838i | ||||
\(939\) | 2.07039 | + | 1.31699i | 0.0675645 | + | 0.0429784i | ||||
\(940\) | −12.6545 | − | 15.8682i | −0.412743 | − | 0.517564i | ||||
\(941\) | −26.1654 | + | 12.6006i | −0.852969 | + | 0.410768i | −0.808679 | − | 0.588251i | \(-0.799817\pi\) |
−0.0442899 | + | 0.999019i | \(0.514103\pi\) | |||||||
\(942\) | −1.35868 | − | 1.37384i | −0.0442682 | − | 0.0447623i | ||||
\(943\) | −22.6928 | − | 5.17948i | −0.738979 | − | 0.168667i | ||||
\(944\) | −1.64810 | + | 2.06665i | −0.0536411 | + | 0.0672638i | ||||
\(945\) | −12.4307 | − | 45.9521i | −0.404371 | − | 1.49482i | ||||
\(946\) | −3.81893 | − | 4.78878i | −0.124164 | − | 0.155697i | ||||
\(947\) | −8.25245 | − | 17.1364i | −0.268169 | − | 0.556858i | 0.722783 | − | 0.691075i | \(-0.242862\pi\) |
−0.990952 | + | 0.134217i | \(0.957148\pi\) | |||||||
\(948\) | 16.0793 | + | 5.72675i | 0.522232 | + | 0.185996i | ||||
\(949\) | 0.607591 | 0.0197232 | ||||||||
\(950\) | 31.8661 | 1.03387 | ||||||||
\(951\) | −12.4743 | + | 35.0248i | −0.404506 | + | 1.13576i | ||||
\(952\) | −1.85933 | − | 10.9208i | −0.0602613 | − | 0.353944i | ||||
\(953\) | −25.2338 | + | 5.75946i | −0.817404 | + | 0.186567i | −0.610726 | − | 0.791842i | \(-0.709122\pi\) |
−0.206678 | + | 0.978409i | \(0.566265\pi\) | |||||||
\(954\) | −0.231631 | + | 20.8692i | −0.00749933 | + | 0.675664i | ||||
\(955\) | −32.2911 | + | 25.7513i | −1.04491 | + | 0.833292i | ||||
\(956\) | 10.4974 | − | 8.37143i | 0.339512 | − | 0.270751i | ||||
\(957\) | 7.62635 | − | 0.816451i | 0.246525 | − | 0.0263921i | ||||
\(958\) | −13.1508 | + | 3.00159i | −0.424884 | + | 0.0969769i | ||||
\(959\) | 3.53653 | − | 12.2912i | 0.114200 | − | 0.396905i | ||||
\(960\) | −31.2231 | − | 11.1203i | −1.00772 | − | 0.358906i | ||||
\(961\) | 9.51906 | 0.307067 | ||||||||
\(962\) | 0.700278 | 0.0225779 | ||||||||
\(963\) | −26.0325 | − | 12.8945i | −0.838887 | − | 0.415518i | ||||
\(964\) | −8.52773 | − | 17.7080i | −0.274660 | − | 0.570337i | ||||
\(965\) | −2.50875 | − | 3.14587i | −0.0807594 | − | 0.101269i | ||||
\(966\) | 14.9906 | + | 2.62744i | 0.482316 | + | 0.0845363i | ||||
\(967\) | 19.2241 | − | 24.1062i | 0.618205 | − | 0.775205i | −0.369886 | − | 0.929077i | \(-0.620603\pi\) |
0.988091 | + | 0.153873i | \(0.0491746\pi\) | |||||||
\(968\) | −57.7139 | − | 13.1728i | −1.85499 | − | 0.423390i | ||||
\(969\) | −8.99879 | + | 8.89947i | −0.289083 | + | 0.285892i | ||||
\(970\) | −33.2194 | + | 15.9976i | −1.06661 | + | 0.513652i | ||||
\(971\) | 31.1325 | + | 39.0389i | 0.999089 | + | 1.25282i | 0.967382 | + | 0.253321i | \(0.0815228\pi\) |
0.0317065 | + | 0.999497i | \(0.489906\pi\) | |||||||
\(972\) | 15.8140 | − | 9.33489i | 0.507233 | − | 0.299417i | ||||
\(973\) | −50.5226 | + | 20.9473i | −1.61968 | + | 0.671538i | ||||
\(974\) | −6.47835 | − | 13.4524i | −0.207580 | − | 0.431043i | ||||
\(975\) | 2.31829 | + | 1.47469i | 0.0742447 | + | 0.0472278i | ||||
\(976\) | −0.175497 | + | 0.0400561i | −0.00561753 | + | 0.00128216i | ||||
\(977\) | 4.54518 | − | 9.43817i | 0.145413 | − | 0.301954i | −0.815522 | − | 0.578725i | \(-0.803550\pi\) |
0.960936 | + | 0.276772i | \(0.0892646\pi\) | |||||||
\(978\) | −16.8630 | + | 16.6769i | −0.539220 | + | 0.533268i | ||||
\(979\) | 72.3178i | 2.31129i | ||||||||
\(980\) | 28.3764 | + | 3.17773i | 0.906451 | + | 0.101509i | ||||
\(981\) | 32.5538 | + | 7.81131i | 1.03936 | + | 0.249396i | ||||
\(982\) | 21.0582 | − | 26.4061i | 0.671993 | − | 0.842653i | ||||
\(983\) | −20.3195 | − | 9.78534i | −0.648090 | − | 0.312104i | 0.0808040 | − | 0.996730i | \(-0.474251\pi\) |
−0.728894 | + | 0.684626i | \(0.759966\pi\) | |||||||
\(984\) | 3.37559 | + | 31.5309i | 0.107610 | + | 1.00517i | ||||
\(985\) | 12.0111 | − | 24.9414i | 0.382707 | − | 0.794699i | ||||
\(986\) | −0.935886 | + | 0.450699i | −0.0298047 | + | 0.0143532i | ||||
\(987\) | 8.83529 | − | 21.0199i | 0.281230 | − | 0.669070i | ||||
\(988\) | 1.21113 | + | 0.583250i | 0.0385312 | + | 0.0185557i | ||||
\(989\) | 3.44491 | − | 2.74722i | 0.109542 | − | 0.0873566i | ||||
\(990\) | 51.6983 | − | 11.1976i | 1.64308 | − | 0.355884i | ||||
\(991\) | −10.9271 | + | 13.7021i | −0.347110 | + | 0.435262i | −0.924486 | − | 0.381216i | \(-0.875505\pi\) |
0.577376 | + | 0.816478i | \(0.304077\pi\) | |||||||
\(992\) | 5.70355 | − | 24.9889i | 0.181088 | − | 0.793398i | ||||
\(993\) | 28.3018 | + | 28.6177i | 0.898130 | + | 0.908154i | ||||
\(994\) | −3.82270 | − | 9.21995i | −0.121249 | − | 0.292439i | ||||
\(995\) | −13.2629 | + | 10.5768i | −0.420461 | + | 0.335307i | ||||
\(996\) | 7.47079 | + | 21.7365i | 0.236721 | + | 0.688747i | ||||
\(997\) | −17.3494 | − | 3.95990i | −0.549462 | − | 0.125411i | −0.0612280 | − | 0.998124i | \(-0.519502\pi\) |
−0.488234 | + | 0.872713i | \(0.662359\pi\) | |||||||
\(998\) | 5.69561i | 0.180291i | ||||||||
\(999\) | 6.11820 | − | 16.5934i | 0.193571 | − | 0.524992i |
(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 | 147.2.k.a.104.6 | yes | 96 | |
3.2 | odd | 2 | inner | 147.2.k.a.104.11 | yes | 96 | |
49.41 | odd | 14 | inner | 147.2.k.a.41.11 | yes | 96 | |
147.41 | even | 14 | inner | 147.2.k.a.41.6 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.k.a.41.6 | ✓ | 96 | 147.41 | even | 14 | inner | |
147.2.k.a.41.11 | yes | 96 | 49.41 | odd | 14 | inner | |
147.2.k.a.104.6 | yes | 96 | 1.1 | even | 1 | trivial | |
147.2.k.a.104.11 | yes | 96 | 3.2 | odd | 2 | inner |