Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 384.11 |
Dual form | 384.2.w.a.35.10 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24002 | + | 0.679964i | −0.876826 | + | 0.480807i | ||||
\(3\) | 1.09320 | − | 1.34347i | 0.631162 | − | 0.775651i | ||||
\(4\) | 1.07530 | − | 1.68634i | 0.537649 | − | 0.843169i | ||||
\(5\) | 0.708082 | + | 0.378478i | 0.316664 | + | 0.169260i | 0.622070 | − | 0.782962i | \(-0.286292\pi\) |
−0.305406 | + | 0.952222i | \(0.598792\pi\) | |||||||
\(6\) | −0.442086 | + | 2.40927i | −0.180481 | + | 0.983579i | ||||
\(7\) | −4.90117 | − | 0.974904i | −1.85247 | − | 0.368479i | −0.862078 | − | 0.506776i | \(-0.830837\pi\) |
−0.990391 | + | 0.138297i | \(0.955837\pi\) | |||||||
\(8\) | −0.186740 | + | 2.82226i | −0.0660225 | + | 0.997818i | ||||
\(9\) | −0.609807 | − | 2.93737i | −0.203269 | − | 0.979123i | ||||
\(10\) | −1.13539 | + | 0.0121507i | −0.359041 | + | 0.00384239i | ||||
\(11\) | 3.64450 | − | 2.99097i | 1.09886 | − | 0.901810i | 0.103179 | − | 0.994663i | \(-0.467098\pi\) |
0.995680 | + | 0.0928524i | \(0.0295985\pi\) | |||||||
\(12\) | −1.09002 | − | 3.28814i | −0.314662 | − | 0.949204i | ||||
\(13\) | 1.28552 | − | 0.687127i | 0.356540 | − | 0.190575i | −0.283396 | − | 0.959003i | \(-0.591461\pi\) |
0.639936 | + | 0.768428i | \(0.278961\pi\) | |||||||
\(14\) | 6.74045 | − | 2.12372i | 1.80146 | − | 0.567589i | ||||
\(15\) | 1.28255 | − | 0.537531i | 0.331153 | − | 0.138790i | ||||
\(16\) | −1.68747 | − | 3.62663i | −0.421868 | − | 0.906657i | ||||
\(17\) | −4.17380 | + | 1.72885i | −1.01230 | + | 0.419307i | −0.826292 | − | 0.563242i | \(-0.809554\pi\) |
−0.186004 | + | 0.982549i | \(0.559554\pi\) | |||||||
\(18\) | 2.75348 | + | 3.22775i | 0.649001 | + | 0.760787i | ||||
\(19\) | 1.43426 | − | 4.72812i | 0.329042 | − | 1.08470i | −0.623888 | − | 0.781514i | \(-0.714448\pi\) |
0.952930 | − | 0.303191i | \(-0.0980521\pi\) | |||||||
\(20\) | 1.39964 | − | 0.787089i | 0.312969 | − | 0.175999i | ||||
\(21\) | −6.66773 | + | 5.51879i | −1.45502 | + | 1.20430i | ||||
\(22\) | −2.48551 | + | 6.18699i | −0.529911 | + | 1.31907i | ||||
\(23\) | −3.44961 | − | 2.30495i | −0.719293 | − | 0.480616i | 0.141263 | − | 0.989972i | \(-0.454884\pi\) |
−0.860556 | + | 0.509356i | \(0.829884\pi\) | |||||||
\(24\) | 3.58746 | + | 3.33618i | 0.732288 | + | 0.680995i | ||||
\(25\) | −2.41972 | − | 3.62136i | −0.483943 | − | 0.724272i | ||||
\(26\) | −1.12685 | + | 1.72616i | −0.220994 | + | 0.338528i | ||||
\(27\) | −4.61290 | − | 2.39189i | −0.887753 | − | 0.460319i | ||||
\(28\) | −6.91423 | + | 7.21672i | −1.30667 | + | 1.36383i | ||||
\(29\) | 6.17167 | + | 5.06495i | 1.14605 | + | 0.940538i | 0.998820 | − | 0.0485639i | \(-0.0154645\pi\) |
0.147229 | + | 0.989102i | \(0.452964\pi\) | |||||||
\(30\) | −1.22489 | + | 1.53864i | −0.223633 | + | 0.280915i | ||||
\(31\) | −1.73956 | + | 1.73956i | −0.312434 | + | 0.312434i | −0.845852 | − | 0.533418i | \(-0.820907\pi\) |
0.533418 | + | 0.845852i | \(0.320907\pi\) | |||||||
\(32\) | 4.55848 | + | 3.34967i | 0.805832 | + | 0.592144i | ||||
\(33\) | −0.0340770 | − | 8.16601i | −0.00593204 | − | 1.42152i | ||||
\(34\) | 4.00004 | − | 4.98184i | 0.686002 | − | 0.854379i | ||||
\(35\) | −3.10145 | − | 2.54529i | −0.524241 | − | 0.430233i | ||||
\(36\) | −5.60912 | − | 2.13020i | −0.934853 | − | 0.355034i | ||||
\(37\) | −1.79864 | − | 5.92932i | −0.295695 | − | 0.974775i | −0.971369 | − | 0.237575i | \(-0.923647\pi\) |
0.675674 | − | 0.737200i | \(-0.263853\pi\) | |||||||
\(38\) | 1.43644 | + | 6.83821i | 0.233022 | + | 1.10930i | ||||
\(39\) | 0.482208 | − | 2.47823i | 0.0772151 | − | 0.396834i | ||||
\(40\) | −1.20039 | + | 1.92771i | −0.189798 | + | 0.304798i | ||||
\(41\) | 1.22041 | + | 0.815454i | 0.190597 | + | 0.127353i | 0.647207 | − | 0.762314i | \(-0.275937\pi\) |
−0.456611 | + | 0.889667i | \(0.650937\pi\) | |||||||
\(42\) | 4.51554 | − | 11.3772i | 0.696763 | − | 1.75554i | ||||
\(43\) | 0.444604 | − | 4.51414i | 0.0678015 | − | 0.688400i | −0.899865 | − | 0.436168i | \(-0.856335\pi\) |
0.967667 | − | 0.252232i | \(-0.0811647\pi\) | |||||||
\(44\) | −1.12486 | − | 9.36204i | −0.169579 | − | 1.41138i | ||||
\(45\) | 0.679935 | − | 2.31070i | 0.101359 | − | 0.344458i | ||||
\(46\) | 5.84487 | + | 0.512578i | 0.861779 | + | 0.0755755i | ||||
\(47\) | 1.80461 | − | 0.747495i | 0.263230 | − | 0.109033i | −0.247166 | − | 0.968973i | \(-0.579499\pi\) |
0.510395 | + | 0.859940i | \(0.329499\pi\) | |||||||
\(48\) | −6.71701 | − | 1.69758i | −0.969517 | − | 0.245025i | ||||
\(49\) | 16.6039 | + | 6.87755i | 2.37198 | + | 0.982508i | ||||
\(50\) | 5.46289 | + | 2.84524i | 0.772570 | + | 0.402378i | ||||
\(51\) | −2.24017 | + | 7.49735i | −0.313687 | + | 1.04984i | ||||
\(52\) | 0.223592 | − | 2.90669i | 0.0310066 | − | 0.403086i | ||||
\(53\) | −0.0938748 | + | 0.0770411i | −0.0128947 | + | 0.0105824i | −0.640819 | − | 0.767692i | \(-0.721405\pi\) |
0.627924 | + | 0.778275i | \(0.283905\pi\) | |||||||
\(54\) | 7.34649 | − | 0.170619i | 0.999730 | − | 0.0232183i | ||||
\(55\) | 3.71262 | − | 0.738486i | 0.500610 | − | 0.0995774i | ||||
\(56\) | 3.66667 | − | 13.6503i | 0.489979 | − | 1.82410i | ||||
\(57\) | −4.78413 | − | 7.09568i | −0.633674 | − | 0.939846i | ||||
\(58\) | −11.0970 | − | 2.08413i | −1.45710 | − | 0.273660i | ||||
\(59\) | 1.86261 | + | 0.995588i | 0.242492 | + | 0.129614i | 0.588166 | − | 0.808740i | \(-0.299850\pi\) |
−0.345675 | + | 0.938354i | \(0.612350\pi\) | |||||||
\(60\) | 0.472664 | − | 2.74082i | 0.0610206 | − | 0.353838i | ||||
\(61\) | 0.477164 | + | 4.84472i | 0.0610946 | + | 0.620303i | 0.976168 | + | 0.217016i | \(0.0696324\pi\) |
−0.915073 | + | 0.403287i | \(0.867868\pi\) | |||||||
\(62\) | 0.974250 | − | 3.33993i | 0.123730 | − | 0.424171i | ||||
\(63\) | 0.125118 | + | 14.9910i | 0.0157634 | + | 1.88869i | ||||
\(64\) | −7.93026 | − | 1.05405i | −0.991282 | − | 0.131757i | ||||
\(65\) | 1.17032 | 0.145160 | ||||||||
\(66\) | 5.59485 | + | 10.1028i | 0.688678 | + | 1.24357i | ||||
\(67\) | 12.5418 | − | 1.23526i | 1.53222 | − | 0.150911i | 0.703551 | − | 0.710645i | \(-0.251597\pi\) |
0.828672 | + | 0.559734i | \(0.189097\pi\) | |||||||
\(68\) | −1.57266 | + | 8.89747i | −0.190713 | + | 1.07898i | ||||
\(69\) | −6.86776 | + | 2.11465i | −0.826781 | + | 0.254574i | ||||
\(70\) | 5.57657 | + | 1.04734i | 0.666527 | + | 0.125181i | ||||
\(71\) | 0.718173 | + | 0.142853i | 0.0852314 | + | 0.0169536i | 0.237522 | − | 0.971382i | \(-0.423665\pi\) |
−0.152290 | + | 0.988336i | \(0.548665\pi\) | |||||||
\(72\) | 8.40388 | − | 1.17251i | 0.990407 | − | 0.138181i | ||||
\(73\) | 1.98528 | + | 9.98068i | 0.232360 | + | 1.16815i | 0.904086 | + | 0.427351i | \(0.140553\pi\) |
−0.671726 | + | 0.740800i | \(0.734447\pi\) | |||||||
\(74\) | 6.26208 | + | 6.12947i | 0.727952 | + | 0.712536i | ||||
\(75\) | −7.51043 | − | 0.708080i | −0.867229 | − | 0.0817621i | ||||
\(76\) | −6.43095 | − | 7.50278i | −0.737681 | − | 0.860628i | ||||
\(77\) | −20.7782 | + | 11.1062i | −2.36790 | + | 1.26567i | ||||
\(78\) | 1.08716 | + | 3.40094i | 0.123097 | + | 0.385080i | ||||
\(79\) | 2.91014 | − | 7.02569i | 0.327416 | − | 0.790452i | −0.671367 | − | 0.741125i | \(-0.734292\pi\) |
0.998783 | − | 0.0493269i | \(-0.0157076\pi\) | |||||||
\(80\) | 0.177729 | − | 3.20662i | 0.0198708 | − | 0.358511i | ||||
\(81\) | −8.25627 | + | 3.58246i | −0.917363 | + | 0.398051i | ||||
\(82\) | −2.06782 | − | 0.181342i | −0.228352 | − | 0.0200258i | ||||
\(83\) | −0.838345 | + | 2.76365i | −0.0920203 | + | 0.303350i | −0.990854 | − | 0.134940i | \(-0.956916\pi\) |
0.898833 | + | 0.438290i | \(0.144416\pi\) | |||||||
\(84\) | 2.13676 | + | 17.1784i | 0.233139 | + | 1.87432i | ||||
\(85\) | −3.60972 | − | 0.355527i | −0.391529 | − | 0.0385623i | ||||
\(86\) | 2.51814 | + | 5.89994i | 0.271538 | + | 0.636207i | ||||
\(87\) | 13.5515 | − | 2.75440i | 1.45287 | − | 0.295302i | ||||
\(88\) | 7.76070 | + | 10.8443i | 0.827293 | + | 1.15600i | ||||
\(89\) | −8.43950 | − | 12.6306i | −0.894585 | − | 1.33884i | −0.940464 | − | 0.339894i | \(-0.889609\pi\) |
0.0458787 | − | 0.998947i | \(-0.485391\pi\) | |||||||
\(90\) | 0.728058 | + | 3.32764i | 0.0767440 | + | 0.350764i | ||||
\(91\) | −6.97045 | + | 2.11446i | −0.730702 | + | 0.221656i | ||||
\(92\) | −7.59629 | + | 3.33869i | −0.791968 | + | 0.348083i | ||||
\(93\) | 0.435347 | + | 4.23874i | 0.0451433 | + | 0.439537i | ||||
\(94\) | −1.72948 | + | 2.15398i | −0.178383 | + | 0.222166i | ||||
\(95\) | 2.80506 | − | 2.80506i | 0.287793 | − | 0.287793i | ||||
\(96\) | 9.48352 | − | 2.46229i | 0.967908 | − | 0.251306i | ||||
\(97\) | 10.1343 | + | 10.1343i | 1.02898 | + | 1.02898i | 0.999567 | + | 0.0294123i | \(0.00936359\pi\) |
0.0294123 | + | 0.999567i | \(0.490636\pi\) | |||||||
\(98\) | −25.2656 | + | 2.76175i | −2.55221 | + | 0.278979i | ||||
\(99\) | −11.0080 | − | 8.88134i | −1.10635 | − | 0.892608i | ||||
\(100\) | −8.70875 | + | 0.186420i | −0.870875 | + | 0.0186420i | ||||
\(101\) | 4.80157 | + | 15.8287i | 0.477774 | + | 1.57501i | 0.782550 | + | 0.622587i | \(0.213918\pi\) |
−0.304776 | + | 0.952424i | \(0.598582\pi\) | |||||||
\(102\) | −2.32007 | − | 10.8201i | −0.229721 | − | 1.07135i | ||||
\(103\) | 6.81145 | − | 4.55127i | 0.671153 | − | 0.448450i | −0.172736 | − | 0.984968i | \(-0.555261\pi\) |
0.843889 | + | 0.536518i | \(0.180261\pi\) | |||||||
\(104\) | 1.69919 | + | 3.75639i | 0.166619 | + | 0.368344i | ||||
\(105\) | −6.81004 | + | 1.38417i | −0.664592 | + | 0.135081i | ||||
\(106\) | 0.0640214 | − | 0.159364i | 0.00621831 | − | 0.0154788i | ||||
\(107\) | −0.506212 | + | 5.13966i | −0.0489374 | + | 0.496870i | 0.939208 | + | 0.343349i | \(0.111561\pi\) |
−0.988145 | + | 0.153521i | \(0.950939\pi\) | |||||||
\(108\) | −8.99377 | + | 5.20692i | −0.865426 | + | 0.501036i | ||||
\(109\) | −3.99316 | − | 1.21131i | −0.382476 | − | 0.116023i | 0.0931912 | − | 0.995648i | \(-0.470293\pi\) |
−0.475667 | + | 0.879626i | \(0.657793\pi\) | |||||||
\(110\) | −4.10158 | + | 3.44019i | −0.391070 | + | 0.328009i | ||||
\(111\) | −9.93213 | − | 4.06555i | −0.942716 | − | 0.385885i | ||||
\(112\) | 4.73498 | + | 19.4199i | 0.447413 | + | 1.83500i | ||||
\(113\) | 8.97976 | + | 3.71954i | 0.844745 | + | 0.349905i | 0.762723 | − | 0.646726i | \(-0.223862\pi\) |
0.0820223 | + | 0.996630i | \(0.473862\pi\) | |||||||
\(114\) | 10.7572 | + | 5.54574i | 1.00751 | + | 0.519407i | ||||
\(115\) | −1.57023 | − | 2.93770i | −0.146425 | − | 0.273942i | ||||
\(116\) | 15.1776 | − | 4.96118i | 1.40920 | − | 0.460634i | ||||
\(117\) | −2.80227 | − | 3.35704i | −0.259070 | − | 0.310359i | ||||
\(118\) | −2.98664 | + | 0.0319625i | −0.274943 | + | 0.00294239i | ||||
\(119\) | 22.1420 | − | 4.40431i | 2.02975 | − | 0.403743i | ||||
\(120\) | 1.27755 | + | 3.72006i | 0.116624 | + | 0.339594i | ||||
\(121\) | 2.19053 | − | 11.0125i | 0.199139 | − | 1.00114i | ||||
\(122\) | −3.88593 | − | 5.68310i | −0.351816 | − | 0.514524i | ||||
\(123\) | 2.42970 | − | 0.748127i | 0.219078 | − | 0.0674563i | ||||
\(124\) | 1.06294 | + | 4.80403i | 0.0954551 | + | 0.431415i | ||||
\(125\) | −0.736236 | − | 7.47513i | −0.0658509 | − | 0.668596i | ||||
\(126\) | −10.3485 | − | 18.5041i | −0.921920 | − | 1.64848i | ||||
\(127\) | 9.38347i | 0.832649i | 0.909216 | + | 0.416324i | \(0.136682\pi\) | ||||
−0.909216 | + | 0.416324i | \(0.863318\pi\) | |||||||
\(128\) | 10.5504 | − | 4.08524i | 0.932532 | − | 0.361088i | ||||
\(129\) | −5.57856 | − | 5.53219i | −0.491165 | − | 0.487082i | ||||
\(130\) | −1.45122 | + | 0.795774i | −0.127280 | + | 0.0697940i | ||||
\(131\) | −3.22109 | + | 0.317250i | −0.281428 | + | 0.0277182i | −0.237746 | − | 0.971327i | \(-0.576409\pi\) |
−0.0436816 | + | 0.999046i | \(0.513909\pi\) | |||||||
\(132\) | −13.8073 | − | 8.72342i | −1.20177 | − | 0.759276i | ||||
\(133\) | −11.6390 | + | 21.7751i | −1.00923 | + | 1.88814i | ||||
\(134\) | −14.7121 | + | 10.0597i | −1.27093 | + | 0.869027i | ||||
\(135\) | −2.36104 | − | 3.43953i | −0.203206 | − | 0.296028i | ||||
\(136\) | −4.09983 | − | 12.1024i | −0.351558 | − | 1.03777i | ||||
\(137\) | −0.0793496 | − | 0.398917i | −0.00677929 | − | 0.0340818i | 0.977248 | − | 0.212102i | \(-0.0680308\pi\) |
−0.984027 | + | 0.178020i | \(0.943031\pi\) | |||||||
\(138\) | 7.07827 | − | 7.29203i | 0.602542 | − | 0.620739i | ||||
\(139\) | 7.45017 | + | 9.07806i | 0.631915 | + | 0.769991i | 0.986274 | − | 0.165119i | \(-0.0528008\pi\) |
−0.354359 | + | 0.935110i | \(0.615301\pi\) | |||||||
\(140\) | −7.62721 | + | 2.49315i | −0.644617 | + | 0.210709i | ||||
\(141\) | 0.968575 | − | 3.24160i | 0.0815688 | − | 0.272992i | ||||
\(142\) | −0.987684 | + | 0.311191i | −0.0828846 | + | 0.0261146i | ||||
\(143\) | 2.62992 | − | 6.34919i | 0.219925 | − | 0.530946i | ||||
\(144\) | −9.62371 | + | 7.16827i | −0.801976 | + | 0.597356i | ||||
\(145\) | 2.45307 | + | 5.92224i | 0.203717 | + | 0.491815i | ||||
\(146\) | −9.24830 | − | 11.0263i | −0.765394 | − | 0.912545i | ||||
\(147\) | 27.3912 | − | 14.7882i | 2.25919 | − | 1.21971i | ||||
\(148\) | −11.9329 | − | 3.34267i | −0.980880 | − | 0.274766i | ||||
\(149\) | 19.5682 | + | 1.92730i | 1.60309 | + | 0.157891i | 0.859640 | − | 0.510900i | \(-0.170688\pi\) |
0.743451 | + | 0.668790i | \(0.233188\pi\) | |||||||
\(150\) | 9.79454 | − | 4.22879i | 0.799721 | − | 0.345279i | ||||
\(151\) | −3.07639 | + | 4.60415i | −0.250353 | + | 0.374680i | −0.935266 | − | 0.353945i | \(-0.884840\pi\) |
0.684913 | + | 0.728625i | \(0.259840\pi\) | |||||||
\(152\) | 13.0761 | + | 4.93077i | 1.06061 | + | 0.399939i | ||||
\(153\) | 7.62347 | + | 11.2057i | 0.616321 | + | 0.905930i | ||||
\(154\) | 18.2136 | − | 27.9004i | 1.46769 | − | 2.24828i | ||||
\(155\) | −1.89014 | + | 0.573367i | −0.151819 | + | 0.0460539i | ||||
\(156\) | −3.66061 | − | 3.47800i | −0.293084 | − | 0.278463i | ||||
\(157\) | −1.51010 | + | 1.84007i | −0.120519 | + | 0.146853i | −0.829775 | − | 0.558098i | \(-0.811531\pi\) |
0.709256 | + | 0.704951i | \(0.249031\pi\) | |||||||
\(158\) | 1.16859 | + | 10.6908i | 0.0929683 | + | 0.850513i | ||||
\(159\) | 0.000877752 | 0.210339i | 6.96103e−5 | 0.0166810i | ||||||
\(160\) | 1.96000 | + | 4.09712i | 0.154952 | + | 0.323906i | ||||
\(161\) | 14.6600 | + | 14.6600i | 1.15537 | + | 1.15537i | ||||
\(162\) | 7.80199 | − | 10.0563i | 0.612983 | − | 0.790096i | ||||
\(163\) | 12.9619 | − | 15.7941i | 1.01525 | − | 1.23709i | 0.0440038 | − | 0.999031i | \(-0.485989\pi\) |
0.971251 | − | 0.238060i | \(-0.0765114\pi\) | |||||||
\(164\) | 2.68744 | − | 1.18117i | 0.209854 | − | 0.0922342i | ||||
\(165\) | 3.06652 | − | 5.79510i | 0.238728 | − | 0.451148i | ||||
\(166\) | −0.839621 | − | 3.99703i | −0.0651672 | − | 0.310230i | ||||
\(167\) | −0.668777 | + | 0.446862i | −0.0517515 | + | 0.0345793i | −0.581177 | − | 0.813777i | \(-0.697408\pi\) |
0.529425 | + | 0.848357i | \(0.322408\pi\) | |||||||
\(168\) | −14.3303 | − | 19.8486i | −1.10561 | − | 1.53135i | ||||
\(169\) | −6.04198 | + | 9.04247i | −0.464768 | + | 0.695575i | ||||
\(170\) | 4.71787 | − | 2.01362i | 0.361844 | − | 0.154438i | ||||
\(171\) | −14.7629 | − | 1.32971i | −1.12894 | − | 0.101685i | ||||
\(172\) | −7.13429 | − | 5.60380i | −0.543984 | − | 0.427286i | ||||
\(173\) | −14.8816 | − | 4.51427i | −1.13142 | − | 0.343214i | −0.331584 | − | 0.943426i | \(-0.607583\pi\) |
−0.799841 | + | 0.600212i | \(0.795083\pi\) | |||||||
\(174\) | −14.9312 | + | 12.6300i | −1.13193 | + | 0.957481i | ||||
\(175\) | 8.32897 | + | 20.1079i | 0.629611 | + | 1.52001i | ||||
\(176\) | −16.9971 | − | 8.17009i | −1.28121 | − | 0.615844i | ||||
\(177\) | 3.37376 | − | 1.41398i | 0.253587 | − | 0.106281i | ||||
\(178\) | 19.0535 | + | 9.92364i | 1.42812 | + | 0.743808i | ||||
\(179\) | −4.02264 | − | 7.52583i | −0.300666 | − | 0.562507i | 0.685539 | − | 0.728036i | \(-0.259567\pi\) |
−0.986205 | + | 0.165529i | \(0.947067\pi\) | |||||||
\(180\) | −3.16548 | − | 3.63128i | −0.235941 | − | 0.270660i | ||||
\(181\) | −12.1020 | − | 14.7464i | −0.899536 | − | 1.09609i | −0.994922 | − | 0.100648i | \(-0.967909\pi\) |
0.0953860 | − | 0.995440i | \(-0.469591\pi\) | |||||||
\(182\) | 7.20574 | − | 7.36164i | 0.534125 | − | 0.545681i | ||||
\(183\) | 7.03037 | + | 4.65522i | 0.519700 | + | 0.344124i | ||||
\(184\) | 7.14935 | − | 9.30525i | 0.527057 | − | 0.685992i | ||||
\(185\) | 0.970532 | − | 4.87919i | 0.0713549 | − | 0.358725i | ||||
\(186\) | −3.42203 | − | 4.96010i | −0.250915 | − | 0.363692i | ||||
\(187\) | −10.0405 | + | 18.7845i | −0.734236 | + | 1.37366i | ||||
\(188\) | 0.679965 | − | 3.84696i | 0.0495915 | − | 0.280569i | ||||
\(189\) | 20.2768 | + | 16.2202i | 1.47492 | + | 1.17985i | ||||
\(190\) | −1.57099 | + | 5.38567i | −0.113971 | + | 0.390718i | ||||
\(191\) | 18.7244i | 1.35485i | 0.735592 | + | 0.677425i | \(0.236904\pi\) | ||||
−0.735592 | + | 0.677425i | \(0.763096\pi\) | |||||||
\(192\) | −10.0855 | + | 9.50174i | −0.727857 | + | 0.685729i | ||||
\(193\) | − | 20.1139i | − | 1.44783i | −0.689890 | − | 0.723914i | \(-0.742341\pi\) | ||
0.689890 | − | 0.723914i | \(-0.257659\pi\) | |||||||
\(194\) | −19.4576 | − | 5.67575i | −1.39698 | − | 0.407495i | ||||
\(195\) | 1.27940 | − | 1.57228i | 0.0916195 | − | 0.112594i | ||||
\(196\) | 29.4520 | − | 20.6043i | 2.10371 | − | 1.47174i | ||||
\(197\) | 8.10093 | − | 15.1558i | 0.577168 | − | 1.07980i | −0.408762 | − | 0.912641i | \(-0.634039\pi\) |
0.985929 | − | 0.167163i | \(-0.0534608\pi\) | |||||||
\(198\) | 19.6891 | + | 3.52797i | 1.39925 | + | 0.250722i | ||||
\(199\) | 0.0969210 | − | 0.487255i | 0.00687055 | − | 0.0345406i | −0.977198 | − | 0.212330i | \(-0.931895\pi\) |
0.984068 | + | 0.177790i | \(0.0568947\pi\) | |||||||
\(200\) | 10.6723 | − | 6.15281i | 0.754643 | − | 0.435069i | ||||
\(201\) | 12.0512 | − | 18.1999i | 0.850027 | − | 1.28372i | ||||
\(202\) | −16.7170 | − | 16.3630i | −1.17620 | − | 1.15129i | ||||
\(203\) | −25.3105 | − | 30.8410i | −1.77645 | − | 2.16461i | ||||
\(204\) | 10.2342 | + | 11.8396i | 0.716538 | + | 0.828936i | ||||
\(205\) | 0.555521 | + | 1.03931i | 0.0387993 | + | 0.0725884i | ||||
\(206\) | −5.35164 | + | 10.2752i | −0.372866 | + | 0.715908i | ||||
\(207\) | −4.66691 | + | 11.5383i | −0.324372 | + | 0.801971i | ||||
\(208\) | −4.66124 | − | 3.50261i | −0.323199 | − | 0.242862i | ||||
\(209\) | −8.91448 | − | 21.5215i | −0.616628 | − | 1.48867i | ||||
\(210\) | 7.50340 | − | 6.34698i | 0.517784 | − | 0.437983i | ||||
\(211\) | −20.4361 | − | 6.19921i | −1.40688 | − | 0.426771i | −0.506634 | − | 0.862161i | \(-0.669110\pi\) |
−0.900242 | + | 0.435390i | \(0.856610\pi\) | |||||||
\(212\) | 0.0289740 | + | 0.241147i | 0.00198994 | + | 0.0165620i | ||||
\(213\) | 0.977029 | − | 0.808673i | 0.0669449 | − | 0.0554094i | ||||
\(214\) | −2.86707 | − | 6.71749i | −0.195989 | − | 0.459198i | ||||
\(215\) | 2.02332 | − | 3.02811i | 0.137989 | − | 0.206515i | ||||
\(216\) | 7.61194 | − | 12.5721i | 0.517927 | − | 0.855425i | ||||
\(217\) | 10.2218 | − | 6.82998i | 0.693900 | − | 0.463649i | ||||
\(218\) | 5.77525 | − | 1.21316i | 0.391149 | − | 0.0821653i | ||||
\(219\) | 15.5790 | + | 8.24377i | 1.05273 | + | 0.557062i | ||||
\(220\) | 2.74683 | − | 7.05482i | 0.185191 | − | 0.475636i | ||||
\(221\) | −4.17759 | + | 5.09040i | −0.281015 | + | 0.342418i | ||||
\(222\) | 15.0805 | − | 1.71213i | 1.01213 | − | 0.114911i | ||||
\(223\) | −14.2715 | − | 14.2715i | −0.955689 | − | 0.955689i | 0.0433698 | − | 0.999059i | \(-0.486191\pi\) |
−0.999059 | + | 0.0433698i | \(0.986191\pi\) | |||||||
\(224\) | −19.0763 | − | 20.8614i | −1.27459 | − | 1.39386i | ||||
\(225\) | −9.16171 | + | 9.31593i | −0.610781 | + | 0.621062i | ||||
\(226\) | −13.6642 | + | 1.49362i | −0.908931 | + | 0.0993539i | ||||
\(227\) | 0.944867 | − | 1.15132i | 0.0627130 | − | 0.0764160i | −0.740709 | − | 0.671826i | \(-0.765510\pi\) |
0.803422 | + | 0.595410i | \(0.203010\pi\) | |||||||
\(228\) | −17.1101 | + | 0.437700i | −1.13314 | + | 0.0289874i | ||||
\(229\) | 17.8823 | − | 5.42455i | 1.18170 | − | 0.358464i | 0.362505 | − | 0.931982i | \(-0.381922\pi\) |
0.819193 | + | 0.573518i | \(0.194422\pi\) | |||||||
\(230\) | 3.94465 | + | 2.57510i | 0.260102 | + | 0.169797i | ||||
\(231\) | −7.79405 | + | 40.0562i | −0.512811 | + | 2.63551i | ||||
\(232\) | −15.4471 | + | 16.4722i | −1.01415 | + | 1.08145i | ||||
\(233\) | −1.93285 | + | 2.89271i | −0.126625 | + | 0.189508i | −0.889365 | − | 0.457197i | \(-0.848853\pi\) |
0.762740 | + | 0.646705i | \(0.223853\pi\) | |||||||
\(234\) | 5.75753 | + | 2.25736i | 0.376382 | + | 0.147568i | ||||
\(235\) | 1.56072 | + | 0.153718i | 0.101810 | + | 0.0100274i | ||||
\(236\) | 3.68176 | − | 2.07044i | 0.239662 | − | 0.134774i | ||||
\(237\) | −6.25741 | − | 11.5902i | −0.406463 | − | 0.752864i | ||||
\(238\) | −24.4617 | + | 20.5172i | −1.58562 | + | 1.32993i | ||||
\(239\) | 1.20266 | + | 2.90348i | 0.0777936 | + | 0.187810i | 0.957992 | − | 0.286796i | \(-0.0925903\pi\) |
−0.880198 | + | 0.474607i | \(0.842590\pi\) | |||||||
\(240\) | −4.11369 | − | 3.74427i | −0.265538 | − | 0.241691i | ||||
\(241\) | 9.39345 | − | 22.6778i | 0.605086 | − | 1.46081i | −0.263200 | − | 0.964741i | \(-0.584778\pi\) |
0.868286 | − | 0.496064i | \(-0.165222\pi\) | |||||||
\(242\) | 4.77183 | + | 15.1452i | 0.306745 | + | 0.973573i | ||||
\(243\) | −4.21288 | + | 15.0084i | −0.270256 | + | 0.962788i | ||||
\(244\) | 8.68294 | + | 4.40486i | 0.555868 | + | 0.281992i | ||||
\(245\) | 9.15391 | + | 11.1541i | 0.584822 | + | 0.712607i | ||||
\(246\) | −2.50417 | + | 2.57980i | −0.159660 | + | 0.164482i | ||||
\(247\) | −1.40504 | − | 7.06363i | −0.0894007 | − | 0.449448i | ||||
\(248\) | −4.58464 | − | 5.23433i | −0.291125 | − | 0.332380i | ||||
\(249\) | 2.79639 | + | 4.14753i | 0.177214 | + | 0.262839i | ||||
\(250\) | 5.99576 | + | 8.76869i | 0.379205 | + | 0.554581i | ||||
\(251\) | 1.68161 | − | 3.14608i | 0.106142 | − | 0.198578i | −0.823243 | − | 0.567689i | \(-0.807838\pi\) |
0.929386 | + | 0.369111i | \(0.120338\pi\) | |||||||
\(252\) | 25.4145 | + | 15.9088i | 1.60096 | + | 1.00216i | ||||
\(253\) | −19.4662 | + | 1.91725i | −1.22383 | + | 0.120536i | ||||
\(254\) | −6.38043 | − | 11.6357i | −0.400344 | − | 0.730088i | ||||
\(255\) | −4.42380 | + | 4.46088i | −0.277029 | + | 0.279351i | ||||
\(256\) | −10.3049 | + | 12.2397i | −0.644055 | + | 0.764979i | ||||
\(257\) | 25.9605i | 1.61937i | 0.586864 | + | 0.809685i | \(0.300362\pi\) | ||||
−0.586864 | + | 0.809685i | \(0.699638\pi\) | |||||||
\(258\) | 10.6792 | + | 3.06681i | 0.664859 | + | 0.190931i | ||||
\(259\) | 3.03493 | + | 30.8141i | 0.188581 | + | 1.91470i | ||||
\(260\) | 1.25844 | − | 1.97355i | 0.0780451 | − | 0.122394i | ||||
\(261\) | 11.1141 | − | 21.2171i | 0.687946 | − | 1.31331i | ||||
\(262\) | 3.77850 | − | 2.58362i | 0.233436 | − | 0.159617i | ||||
\(263\) | −0.230946 | + | 1.16104i | −0.0142407 | + | 0.0715929i | −0.987252 | − | 0.159164i | \(-0.949120\pi\) |
0.973011 | + | 0.230757i | \(0.0741202\pi\) | |||||||
\(264\) | 23.0529 | + | 1.42874i | 1.41881 | + | 0.0879332i | ||||
\(265\) | −0.0956294 | + | 0.0190219i | −0.00587446 | + | 0.00116850i | ||||
\(266\) | −0.373660 | − | 34.9156i | −0.0229106 | − | 2.14081i | ||||
\(267\) | −26.1949 | − | 2.46964i | −1.60310 | − | 0.151140i | ||||
\(268\) | 11.4031 | − | 22.4780i | 0.696554 | − | 1.37306i | ||||
\(269\) | 3.51707 | + | 6.57997i | 0.214439 | + | 0.401188i | 0.966025 | − | 0.258447i | \(-0.0832108\pi\) |
−0.751586 | + | 0.659635i | \(0.770711\pi\) | |||||||
\(270\) | 5.26649 | + | 2.65967i | 0.320508 | + | 0.161862i | ||||
\(271\) | −4.87576 | − | 2.01961i | −0.296182 | − | 0.122682i | 0.229644 | − | 0.973275i | \(-0.426244\pi\) |
−0.525826 | + | 0.850592i | \(0.676244\pi\) | |||||||
\(272\) | 13.3131 | + | 12.2195i | 0.807223 | + | 0.740913i | ||||
\(273\) | −4.77942 | + | 11.6761i | −0.289264 | + | 0.706671i | ||||
\(274\) | 0.369645 | + | 0.440710i | 0.0223310 | + | 0.0266243i | ||||
\(275\) | −19.6500 | − | 5.96077i | −1.18494 | − | 0.359448i | ||||
\(276\) | −3.81887 | + | 13.8552i | −0.229869 | + | 0.833987i | ||||
\(277\) | 0.753515 | − | 7.65057i | 0.0452743 | − | 0.459678i | −0.945643 | − | 0.325206i | \(-0.894566\pi\) |
0.990917 | − | 0.134472i | \(-0.0429338\pi\) | |||||||
\(278\) | −15.4111 | − | 6.19112i | −0.924297 | − | 0.371319i | ||||
\(279\) | 6.17053 | + | 4.04893i | 0.369420 | + | 0.242403i | ||||
\(280\) | 7.76264 | − | 8.27778i | 0.463906 | − | 0.494692i | ||||
\(281\) | −2.86125 | + | 1.91183i | −0.170688 | + | 0.114050i | −0.637980 | − | 0.770053i | \(-0.720230\pi\) |
0.467292 | + | 0.884103i | \(0.345230\pi\) | |||||||
\(282\) | 1.00312 | + | 4.67824i | 0.0597349 | + | 0.278585i | ||||
\(283\) | 2.07702 | + | 6.84701i | 0.123466 | + | 0.407013i | 0.996784 | − | 0.0801382i | \(-0.0255362\pi\) |
−0.873318 | + | 0.487151i | \(0.838036\pi\) | |||||||
\(284\) | 1.01315 | − | 1.05747i | 0.0601193 | − | 0.0627494i | ||||
\(285\) | −0.702001 | − | 6.83501i | −0.0415829 | − | 0.404871i | ||||
\(286\) | 1.05607 | + | 9.66138i | 0.0624467 | + | 0.571289i | ||||
\(287\) | −5.18647 | − | 5.18647i | −0.306147 | − | 0.306147i | ||||
\(288\) | 7.05942 | − | 15.4326i | 0.415981 | − | 0.909374i | ||||
\(289\) | 2.41091 | − | 2.41091i | 0.141818 | − | 0.141818i | ||||
\(290\) | −7.06877 | − | 5.67569i | −0.415092 | − | 0.333288i | ||||
\(291\) | 24.6939 | − | 2.53623i | 1.44758 | − | 0.148676i | ||||
\(292\) | 18.9656 | + | 7.38434i | 1.10988 | + | 0.432136i | ||||
\(293\) | 20.3922 | − | 6.18591i | 1.19133 | − | 0.361385i | 0.368473 | − | 0.929639i | \(-0.379881\pi\) |
0.822853 | + | 0.568254i | \(0.192381\pi\) | |||||||
\(294\) | −23.9102 | + | 36.9627i | −1.39447 | + | 2.15571i | ||||
\(295\) | 0.942075 | + | 1.40991i | 0.0548497 | + | 0.0820884i | ||||
\(296\) | 17.0699 | − | 3.96898i | 0.992171 | − | 0.230693i | ||||
\(297\) | −23.9658 | + | 5.07979i | −1.39064 | + | 0.294759i | ||||
\(298\) | −25.5755 | + | 10.9158i | −1.48155 | + | 0.632335i | ||||
\(299\) | −6.01835 | − | 0.592756i | −0.348050 | − | 0.0342799i | ||||
\(300\) | −9.27000 | + | 11.9037i | −0.535204 | + | 0.687262i | ||||
\(301\) | −6.57993 | + | 21.6911i | −0.379261 | + | 1.25026i | ||||
\(302\) | 0.684132 | − | 7.80107i | 0.0393674 | − | 0.448901i | ||||
\(303\) | 26.5144 | + | 10.8532i | 1.52321 | + | 0.623501i | ||||
\(304\) | −19.5674 | + | 2.77704i | −1.12227 | + | 0.159274i | ||||
\(305\) | −1.49575 | + | 3.61106i | −0.0856463 | + | 0.206769i | ||||
\(306\) | −17.0728 | − | 8.71164i | −0.975985 | − | 0.498011i | ||||
\(307\) | −7.58508 | + | 4.05431i | −0.432904 | + | 0.231392i | −0.673430 | − | 0.739251i | \(-0.735180\pi\) |
0.240527 | + | 0.970643i | \(0.422680\pi\) | |||||||
\(308\) | −3.61397 | + | 46.9816i | −0.205925 | + | 2.67702i | ||||
\(309\) | 1.33183 | − | 14.1264i | 0.0757654 | − | 0.803625i | ||||
\(310\) | 1.95394 | − | 1.99621i | 0.110976 | − | 0.113377i | ||||
\(311\) | −2.97385 | − | 14.9505i | −0.168631 | − | 0.847767i | −0.968772 | − | 0.247954i | \(-0.920242\pi\) |
0.800140 | − | 0.599813i | \(-0.204758\pi\) | |||||||
\(312\) | 6.90415 | + | 1.82370i | 0.390870 | + | 0.103247i | ||||
\(313\) | 7.33404 | + | 1.45883i | 0.414545 | + | 0.0824580i | 0.397956 | − | 0.917404i | \(-0.369720\pi\) |
0.0165882 | + | 0.999862i | \(0.494720\pi\) | |||||||
\(314\) | 0.621378 | − | 3.30853i | 0.0350664 | − | 0.186711i | ||||
\(315\) | −5.58518 | + | 10.6622i | −0.314689 | + | 0.600749i | ||||
\(316\) | −8.71843 | − | 12.4622i | −0.490450 | − | 0.701053i | ||||
\(317\) | 0.331492 | − | 0.0326491i | 0.0186185 | − | 0.00183376i | −0.0887036 | − | 0.996058i | \(-0.528272\pi\) |
0.107322 | + | 0.994224i | \(0.465772\pi\) | |||||||
\(318\) | −0.144112 | − | 0.260228i | −0.00808138 | − | 0.0145929i | ||||
\(319\) | 37.6418 | 2.10753 | ||||||||
\(320\) | −5.21633 | − | 3.74778i | −0.291602 | − | 0.209507i | ||||
\(321\) | 6.35157 | + | 6.29878i | 0.354510 | + | 0.351564i | ||||
\(322\) | −28.1470 | − | 8.21042i | −1.56857 | − | 0.457549i | ||||
\(323\) | 2.18787 | + | 22.2139i | 0.121737 | + | 1.23601i | ||||
\(324\) | −2.83671 | + | 17.7751i | −0.157595 | + | 0.987504i | ||||
\(325\) | −5.59894 | − | 2.99269i | −0.310573 | − | 0.166005i | ||||
\(326\) | −5.33357 | + | 28.3986i | −0.295399 | + | 1.57286i | ||||
\(327\) | −5.99270 | + | 4.04047i | −0.331397 | + | 0.223438i | ||||
\(328\) | −2.52932 | + | 3.29204i | −0.139658 | + | 0.181773i | ||||
\(329\) | −9.57344 | + | 1.90428i | −0.527801 | + | 0.104986i | ||||
\(330\) | 0.137913 | + | 9.27116i | 0.00759187 | + | 0.510361i | ||||
\(331\) | −0.959619 | + | 0.787539i | −0.0527454 | + | 0.0432871i | −0.660397 | − | 0.750917i | \(-0.729612\pi\) |
0.607651 | + | 0.794204i | \(0.292112\pi\) | |||||||
\(332\) | 3.75898 | + | 4.38548i | 0.206301 | + | 0.240685i | ||||
\(333\) | −16.3198 | + | 8.89902i | −0.894319 | + | 0.487663i | ||||
\(334\) | 0.525446 | − | 1.00886i | 0.0287511 | − | 0.0552025i | ||||
\(335\) | 9.34813 | + | 3.87212i | 0.510743 | + | 0.211557i | ||||
\(336\) | 31.2662 | + | 14.8686i | 1.70571 | + | 0.811148i | ||||
\(337\) | 6.17272 | − | 2.55683i | 0.336250 | − | 0.139279i | −0.208169 | − | 0.978093i | \(-0.566750\pi\) |
0.544419 | + | 0.838814i | \(0.316750\pi\) | |||||||
\(338\) | 1.34362 | − | 15.3212i | 0.0730835 | − | 0.833362i | ||||
\(339\) | 14.8138 | − | 7.99780i | 0.804575 | − | 0.434381i | ||||
\(340\) | −4.48106 | + | 5.70492i | −0.243020 | + | 0.309393i | ||||
\(341\) | −1.13687 | + | 11.5428i | −0.0615648 | + | 0.625078i | ||||
\(342\) | 19.2104 | − | 8.38935i | 1.03878 | − | 0.453644i | ||||
\(343\) | −45.5884 | − | 30.4612i | −2.46154 | − | 1.64475i | ||||
\(344\) | 12.6570 | + | 2.09776i | 0.682422 | + | 0.113103i | ||||
\(345\) | −5.66328 | − | 1.10195i | −0.304901 | − | 0.0593269i | ||||
\(346\) | 21.5230 | − | 4.52115i | 1.15708 | − | 0.243058i | ||||
\(347\) | 2.48105 | + | 8.17891i | 0.133190 | + | 0.439067i | 0.998013 | − | 0.0630091i | \(-0.0200697\pi\) |
−0.864823 | + | 0.502076i | \(0.832570\pi\) | |||||||
\(348\) | 9.92704 | − | 25.8142i | 0.532145 | − | 1.38379i | ||||
\(349\) | 3.13619 | + | 2.57381i | 0.167876 | + | 0.137773i | 0.714580 | − | 0.699553i | \(-0.246618\pi\) |
−0.546704 | + | 0.837326i | \(0.684118\pi\) | |||||||
\(350\) | −24.0007 | − | 19.2708i | −1.28289 | − | 1.03007i | ||||
\(351\) | −7.57353 | + | 0.0948180i | −0.404245 | + | 0.00506101i | ||||
\(352\) | 26.6321 | − | 1.42637i | 1.41950 | − | 0.0760257i | ||||
\(353\) | 7.09662 | − | 7.09662i | 0.377715 | − | 0.377715i | −0.492562 | − | 0.870277i | \(-0.663940\pi\) |
0.870277 | + | 0.492562i | \(0.163940\pi\) | |||||||
\(354\) | −3.22207 | + | 4.04740i | −0.171251 | + | 0.215117i | ||||
\(355\) | 0.454458 | + | 0.372964i | 0.0241201 | + | 0.0197949i | ||||
\(356\) | −30.3744 | + | 0.650198i | −1.60984 | + | 0.0344604i | ||||
\(357\) | 18.2887 | − | 34.5618i | 0.967939 | − | 1.82921i | ||||
\(358\) | 10.1055 | + | 6.59693i | 0.534090 | + | 0.348658i | ||||
\(359\) | −17.8400 | − | 26.6995i | −0.941560 | − | 1.40914i | −0.912277 | − | 0.409574i | \(-0.865677\pi\) |
−0.0292835 | − | 0.999571i | \(-0.509323\pi\) | |||||||
\(360\) | 6.39440 | + | 2.35045i | 0.337015 | + | 0.123880i | ||||
\(361\) | −4.50009 | − | 3.00686i | −0.236847 | − | 0.158256i | ||||
\(362\) | 25.0337 | + | 10.0568i | 1.31574 | + | 0.528575i | ||||
\(363\) | −12.4003 | − | 14.9819i | −0.650846 | − | 0.786344i | ||||
\(364\) | −3.92961 | + | 14.0282i | −0.205967 | + | 0.735279i | ||||
\(365\) | −2.37172 | + | 7.81852i | −0.124142 | + | 0.409240i | ||||
\(366\) | −11.8832 | − | 0.992169i | −0.621143 | − | 0.0518615i | ||||
\(367\) | 22.9485 | − | 9.50559i | 1.19790 | − | 0.496188i | 0.307582 | − | 0.951521i | \(-0.400480\pi\) |
0.890321 | + | 0.455334i | \(0.150480\pi\) | |||||||
\(368\) | −2.53810 | + | 16.4000i | −0.132307 | + | 0.854909i | ||||
\(369\) | 1.65107 | − | 4.08207i | 0.0859514 | − | 0.212504i | ||||
\(370\) | 2.11420 | + | 6.71022i | 0.109912 | + | 0.348848i | ||||
\(371\) | 0.535204 | − | 0.286073i | 0.0277864 | − | 0.0148521i | ||||
\(372\) | 7.61607 | + | 3.82376i | 0.394875 | + | 0.198253i | ||||
\(373\) | 11.8629 | − | 9.73565i | 0.614239 | − | 0.504093i | −0.275055 | − | 0.961428i | \(-0.588696\pi\) |
0.889294 | + | 0.457336i | \(0.151196\pi\) | |||||||
\(374\) | −0.322342 | − | 30.1203i | −0.0166679 | − | 1.55749i | ||||
\(375\) | −10.8474 | − | 7.18273i | −0.560159 | − | 0.370915i | ||||
\(376\) | 1.77263 | + | 5.23266i | 0.0914163 | + | 0.269854i | ||||
\(377\) | 11.4141 | + | 2.27040i | 0.587855 | + | 0.116932i | ||||
\(378\) | −36.1727 | − | 6.32588i | −1.86052 | − | 0.325368i | ||||
\(379\) | 0.269990 | + | 0.144312i | 0.0138684 | + | 0.00741283i | 0.478316 | − | 0.878188i | \(-0.341247\pi\) |
−0.464448 | + | 0.885600i | \(0.653747\pi\) | |||||||
\(380\) | −1.71401 | − | 7.74655i | −0.0879267 | − | 0.397390i | ||||
\(381\) | 12.6064 | + | 10.2581i | 0.645845 | + | 0.525536i | ||||
\(382\) | −12.7319 | − | 23.2186i | −0.651421 | − | 1.18797i | ||||
\(383\) | −34.3138 | −1.75335 | −0.876676 | − | 0.481081i | \(-0.840244\pi\) | ||||
−0.876676 | + | 0.481081i | \(0.840244\pi\) | |||||||
\(384\) | 6.04535 | − | 18.6401i | 0.308500 | − | 0.951224i | ||||
\(385\) | −18.9161 | −0.964056 | ||||||||
\(386\) | 13.6767 | + | 24.9416i | 0.696126 | + | 1.26949i | ||||
\(387\) | −13.5308 | + | 1.44679i | −0.687810 | + | 0.0735445i | ||||
\(388\) | 27.9872 | − | 6.19246i | 1.42083 | − | 0.314374i | ||||
\(389\) | −21.0758 | − | 11.2653i | −1.06859 | − | 0.571172i | −0.159252 | − | 0.987238i | \(-0.550908\pi\) |
−0.909334 | + | 0.416066i | \(0.863408\pi\) | |||||||
\(390\) | −0.517381 | + | 2.81961i | −0.0261986 | + | 0.142776i | ||||
\(391\) | 18.3829 | + | 3.65659i | 0.929663 | + | 0.184921i | ||||
\(392\) | −22.5108 | + | 45.5761i | −1.13697 | + | 2.30194i | ||||
\(393\) | −3.09510 | + | 4.67425i | −0.156127 | + | 0.235785i | ||||
\(394\) | 0.260074 | + | 24.3018i | 0.0131023 | + | 1.22431i | ||||
\(395\) | 4.71968 | − | 3.87334i | 0.237473 | − | 0.194889i | ||||
\(396\) | −26.8138 | + | 9.01316i | −1.34745 | + | 0.452928i | ||||
\(397\) | 16.9022 | − | 9.03439i | 0.848295 | − | 0.453423i | 0.0108479 | − | 0.999941i | \(-0.496547\pi\) |
0.837447 | + | 0.546518i | \(0.184047\pi\) | |||||||
\(398\) | 0.211132 | + | 0.670108i | 0.0105831 | + | 0.0335895i | ||||
\(399\) | 16.5302 | + | 39.4412i | 0.827548 | + | 1.97453i | ||||
\(400\) | −9.05013 | + | 14.8864i | −0.452507 | + | 0.744318i | ||||
\(401\) | 32.4969 | − | 13.4606i | 1.62282 | − | 0.672193i | 0.628417 | − | 0.777877i | \(-0.283703\pi\) |
0.994400 | + | 0.105684i | \(0.0337031\pi\) | |||||||
\(402\) | −2.56848 | + | 30.7626i | −0.128104 | + | 1.53430i | ||||
\(403\) | −1.04095 | + | 3.43155i | −0.0518533 | + | 0.170937i | ||||
\(404\) | 31.8556 | + | 8.92344i | 1.58488 | + | 0.443958i | ||||
\(405\) | −7.20199 | − | 0.588141i | −0.357870 | − | 0.0292249i | ||||
\(406\) | 52.3563 | + | 21.0332i | 2.59840 | + | 1.04386i | ||||
\(407\) | −24.2896 | − | 16.2298i | −1.20399 | − | 0.804480i | ||||
\(408\) | −20.7411 | − | 7.72240i | −1.02684 | − | 0.382316i | ||||
\(409\) | −9.04797 | − | 13.5412i | −0.447393 | − | 0.669572i | 0.537395 | − | 0.843331i | \(-0.319409\pi\) |
−0.984788 | + | 0.173759i | \(0.944409\pi\) | |||||||
\(410\) | −1.39555 | − | 0.911027i | −0.0689213 | − | 0.0449924i | ||||
\(411\) | −0.622678 | − | 0.329495i | −0.0307144 | − | 0.0162528i | ||||
\(412\) | −0.350640 | − | 16.3804i | −0.0172748 | − | 0.807003i | ||||
\(413\) | −8.15839 | − | 6.69541i | −0.401448 | − | 0.329460i | ||||
\(414\) | −2.05861 | − | 17.4811i | −0.101175 | − | 0.859150i | ||||
\(415\) | −1.63960 | + | 1.63960i | −0.0804847 | + | 0.0804847i | ||||
\(416\) | 8.16168 | + | 1.17383i | 0.400159 | + | 0.0575517i | ||||
\(417\) | 20.3406 | − | 0.0848820i | 0.996085 | − | 0.00415669i | ||||
\(418\) | 25.6880 | + | 20.6255i | 1.25644 | + | 1.00883i | ||||
\(419\) | −1.64414 | − | 1.34931i | −0.0803213 | − | 0.0659180i | 0.593376 | − | 0.804925i | \(-0.297795\pi\) |
−0.673697 | + | 0.739008i | \(0.735295\pi\) | |||||||
\(420\) | −4.98864 | + | 12.9724i | −0.243421 | + | 0.632989i | ||||
\(421\) | 2.48643 | + | 8.19668i | 0.121181 | + | 0.399482i | 0.996453 | − | 0.0841500i | \(-0.0268175\pi\) |
−0.875272 | + | 0.483632i | \(0.839317\pi\) | |||||||
\(422\) | 29.5564 | − | 6.20865i | 1.43878 | − | 0.302232i | ||||
\(423\) | −3.29613 | − | 4.84498i | −0.160263 | − | 0.235571i | ||||
\(424\) | −0.199899 | − | 0.279325i | −0.00970797 | − | 0.0135652i | ||||
\(425\) | 16.3602 | + | 10.9315i | 0.793586 | + | 0.530257i | ||||
\(426\) | −0.661666 | + | 1.66712i | −0.0320578 | + | 0.0807720i | ||||
\(427\) | 2.38448 | − | 24.2100i | 0.115393 | − | 1.17160i | ||||
\(428\) | 8.12288 | + | 6.38031i | 0.392634 | + | 0.308404i | ||||
\(429\) | −5.65489 | − | 10.4742i | −0.273021 | − | 0.505698i | ||||
\(430\) | −0.449948 | + | 5.13070i | −0.0216984 | + | 0.247424i | ||||
\(431\) | −3.37747 | + | 1.39899i | −0.162687 | + | 0.0673872i | −0.462541 | − | 0.886598i | \(-0.653062\pi\) |
0.299854 | + | 0.953985i | \(0.403062\pi\) | |||||||
\(432\) | −0.890351 | + | 20.7655i | −0.0428370 | + | 0.999082i | ||||
\(433\) | 9.34573 | + | 3.87113i | 0.449127 | + | 0.186035i | 0.595770 | − | 0.803155i | \(-0.296847\pi\) |
−0.146643 | + | 0.989189i | \(0.546847\pi\) | |||||||
\(434\) | −8.03108 | + | 15.4198i | −0.385504 | + | 0.740172i | ||||
\(435\) | 10.6380 | + | 3.17860i | 0.510055 | + | 0.152402i | ||||
\(436\) | −6.33652 | + | 5.43130i | −0.303464 | + | 0.260112i | ||||
\(437\) | −15.8457 | + | 13.0043i | −0.758004 | + | 0.622078i | ||||
\(438\) | −24.9238 | + | 0.370754i | −1.19090 | + | 0.0177153i | ||||
\(439\) | 13.1817 | − | 2.62201i | 0.629129 | − | 0.125142i | 0.129781 | − | 0.991543i | \(-0.458573\pi\) |
0.499349 | + | 0.866401i | \(0.333573\pi\) | |||||||
\(440\) | 1.39090 | + | 10.6159i | 0.0663087 | + | 0.506092i | ||||
\(441\) | 10.0767 | − | 52.9657i | 0.479845 | − | 2.52218i | ||||
\(442\) | 1.71900 | − | 9.15281i | 0.0817643 | − | 0.435355i | ||||
\(443\) | −3.71119 | − | 1.98367i | −0.176324 | − | 0.0942472i | 0.380873 | − | 0.924627i | \(-0.375623\pi\) |
−0.557197 | + | 0.830380i | \(0.688123\pi\) | |||||||
\(444\) | −17.5359 | + | 12.3773i | −0.832216 | + | 0.587399i | ||||
\(445\) | −1.19546 | − | 12.1377i | −0.0566700 | − | 0.575380i | ||||
\(446\) | 27.4010 | + | 7.99282i | 1.29748 | + | 0.378471i | ||||
\(447\) | 23.9813 | − | 24.1823i | 1.13428 | − | 1.14378i | ||||
\(448\) | 37.8399 | + | 12.8973i | 1.78777 | + | 0.609342i | ||||
\(449\) | −27.7006 | −1.30727 | −0.653636 | − | 0.756809i | \(-0.726757\pi\) | ||||
−0.653636 | + | 0.756809i | \(0.726757\pi\) | |||||||
\(450\) | 5.02620 | − | 17.7816i | 0.236938 | − | 0.838232i | ||||
\(451\) | 6.88680 | − | 0.678290i | 0.324287 | − | 0.0319394i | ||||
\(452\) | 15.9283 | − | 11.1433i | 0.749205 | − | 0.524137i | ||||
\(453\) | 2.82239 | + | 9.16631i | 0.132608 | + | 0.430671i | ||||
\(454\) | −0.388795 | + | 2.07014i | −0.0182470 | + | 0.0971565i | ||||
\(455\) | −5.73593 | − | 1.14095i | −0.268904 | − | 0.0534884i | ||||
\(456\) | 20.9192 | − | 12.1770i | 0.979632 | − | 0.570240i | ||||
\(457\) | −0.943793 | − | 4.74477i | −0.0441488 | − | 0.221951i | 0.952412 | − | 0.304813i | \(-0.0985939\pi\) |
−0.996561 | + | 0.0828620i | \(0.973594\pi\) | |||||||
\(458\) | −18.4860 | + | 18.8859i | −0.863792 | + | 0.882480i | ||||
\(459\) | 23.3886 | + | 2.00828i | 1.09168 | + | 0.0937384i | ||||
\(460\) | −6.64241 | − | 0.510955i | −0.309704 | − | 0.0238234i | ||||
\(461\) | 30.2446 | − | 16.1661i | 1.40863 | − | 0.752929i | 0.420609 | − | 0.907242i | \(-0.361816\pi\) |
0.988022 | + | 0.154313i | \(0.0493163\pi\) | |||||||
\(462\) | −17.5720 | − | 54.9702i | −0.817525 | − | 2.55744i | ||||
\(463\) | −6.90794 | + | 16.6773i | −0.321039 | + | 0.775058i | 0.678155 | + | 0.734919i | \(0.262780\pi\) |
−0.999194 | + | 0.0401385i | \(0.987220\pi\) | |||||||
\(464\) | 7.95420 | − | 30.9293i | 0.369264 | − | 1.43586i | ||||
\(465\) | −1.29601 | + | 3.16614i | −0.0601009 | + | 0.146826i | ||||
\(466\) | 0.429829 | − | 4.90129i | 0.0199115 | − | 0.227048i | ||||
\(467\) | −4.38853 | + | 14.4671i | −0.203077 | + | 0.669455i | 0.794950 | + | 0.606675i | \(0.207497\pi\) |
−0.998027 | + | 0.0627808i | \(0.980003\pi\) | |||||||
\(468\) | −8.67438 | + | 1.11575i | −0.400973 | + | 0.0515756i | ||||
\(469\) | −62.6737 | − | 6.17282i | −2.89400 | − | 0.285034i | ||||
\(470\) | −2.03985 | + | 0.870622i | −0.0940912 | + | 0.0401588i | ||||
\(471\) | 0.821216 | + | 4.04034i | 0.0378397 | + | 0.186169i | ||||
\(472\) | −3.15763 | + | 5.07086i | −0.145342 | + | 0.233405i | ||||
\(473\) | −11.8813 | − | 17.7816i | −0.546302 | − | 0.817599i | ||||
\(474\) | 15.6402 | + | 10.1173i | 0.718380 | + | 0.464701i | ||||
\(475\) | −20.5927 | + | 6.24674i | −0.944859 | + | 0.286620i | ||||
\(476\) | 16.3820 | − | 42.0748i | 0.750870 | − | 1.92850i | ||||
\(477\) | 0.283544 | + | 0.228765i | 0.0129826 | + | 0.0104744i | ||||
\(478\) | −3.46558 | − | 2.78260i | −0.158512 | − | 0.127273i | ||||
\(479\) | −25.0115 | + | 25.0115i | −1.14280 | + | 1.14280i | −0.154869 | + | 0.987935i | \(0.549496\pi\) |
−0.987935 | + | 0.154869i | \(0.950504\pi\) | |||||||
\(480\) | 7.64703 | + | 1.84580i | 0.349037 | + | 0.0842488i | ||||
\(481\) | −6.38639 | − | 6.38639i | −0.291194 | − | 0.291194i | ||||
\(482\) | 3.77203 | + | 34.5081i | 0.171811 | + | 1.57180i | ||||
\(483\) | 35.7216 | − | 3.66885i | 1.62539 | − | 0.166938i | ||||
\(484\) | −16.2154 | − | 15.5357i | −0.737063 | − | 0.706169i | ||||
\(485\) | 3.34030 | + | 11.0115i | 0.151675 | + | 0.500006i | ||||
\(486\) | −4.98111 | − | 21.4753i | −0.225948 | − | 0.974139i | ||||
\(487\) | −27.0951 | + | 18.1044i | −1.22780 | + | 0.820387i | −0.988597 | − | 0.150583i | \(-0.951885\pi\) |
−0.239199 | + | 0.970971i | \(0.576885\pi\) | |||||||
\(488\) | −13.7622 | + | 0.441975i | −0.622984 | + | 0.0200073i | ||||
\(489\) | −7.04887 | − | 34.6801i | −0.318761 | − | 1.56829i | ||||
\(490\) | −18.9354 | − | 7.60693i | −0.855414 | − | 0.343646i | ||||
\(491\) | −1.46186 | + | 14.8425i | −0.0659729 | + | 0.669834i | 0.904149 | + | 0.427217i | \(0.140506\pi\) |
−0.970122 | + | 0.242617i | \(0.921994\pi\) | |||||||
\(492\) | 1.35105 | − | 4.90175i | 0.0609101 | − | 0.220988i | ||||
\(493\) | −34.5158 | − | 10.4703i | −1.55452 | − | 0.471557i | ||||
\(494\) | 6.54530 | + | 7.80366i | 0.294487 | + | 0.351103i | ||||
\(495\) | −4.43319 | − | 10.4550i | −0.199257 | − | 0.469917i | ||||
\(496\) | 9.24420 | + | 3.37328i | 0.415077 | + | 0.151465i | ||||
\(497\) | −3.38062 | − | 1.40030i | −0.151642 | − | 0.0628120i | ||||
\(498\) | −6.28775 | − | 3.24157i | −0.281761 | − | 0.145258i | ||||
\(499\) | 10.9427 | + | 20.4723i | 0.489860 | + | 0.916464i | 0.998461 | + | 0.0554616i | \(0.0176631\pi\) |
−0.508600 | + | 0.861003i | \(0.669837\pi\) | |||||||
\(500\) | −13.3973 | − | 6.79644i | −0.599144 | − | 0.303946i | ||||
\(501\) | −0.130765 | + | 1.38699i | −0.00584215 | + | 0.0619662i | ||||
\(502\) | 0.0539867 | + | 5.04463i | 0.00240954 | + | 0.225153i | ||||
\(503\) | −12.9453 | + | 2.57498i | −0.577202 | + | 0.114813i | −0.475054 | − | 0.879957i | \(-0.657571\pi\) |
−0.102148 | + | 0.994769i | \(0.532571\pi\) | |||||||
\(504\) | −42.3319 | − | 2.44631i | −1.88561 | − | 0.108967i | ||||
\(505\) | −2.59089 | + | 13.0253i | −0.115293 | + | 0.579617i | ||||
\(506\) | 22.8347 | − | 15.6137i | 1.01513 | − | 0.694114i | ||||
\(507\) | 5.54313 | + | 18.0025i | 0.246179 | + | 0.799518i | ||||
\(508\) | 15.8237 | + | 10.0900i | 0.702063 | + | 0.447672i | ||||
\(509\) | −1.26938 | − | 12.8882i | −0.0562644 | − | 0.571262i | −0.981446 | − | 0.191738i | \(-0.938588\pi\) |
0.925182 | − | 0.379524i | \(-0.123912\pi\) | |||||||
\(510\) | 2.45236 | − | 8.53961i | 0.108593 | − | 0.378140i | ||||
\(511\) | − | 50.8525i | − | 2.24958i | ||||||
\(512\) | 4.45571 | − | 22.1844i | 0.196916 | − | 0.980420i | ||||
\(513\) | −17.9252 | + | 18.3798i | −0.791418 | + | 0.811486i | ||||
\(514\) | −17.6522 | − | 32.1915i | −0.778605 | − | 1.41991i | ||||
\(515\) | 6.54562 | − | 0.644687i | 0.288434 | − | 0.0284083i | ||||
\(516\) | −15.3278 | + | 3.45858i | −0.674767 | + | 0.152256i | ||||
\(517\) | 4.34118 | − | 8.12178i | 0.190925 | − | 0.357195i | ||||
\(518\) | −24.7159 | − | 36.1465i | −1.08595 | − | 1.58819i | ||||
\(519\) | −22.3334 | + | 15.0579i | −0.980326 | + | 0.660967i | ||||
\(520\) | −0.218545 | + | 3.30294i | −0.00958383 | + | 0.144843i | ||||
\(521\) | 8.55676 | + | 43.0177i | 0.374878 | + | 1.88464i | 0.459418 | + | 0.888220i | \(0.348058\pi\) |
−0.0845392 | + | 0.996420i | \(0.526942\pi\) | |||||||
\(522\) | 0.645154 | + | 33.8668i | 0.0282376 | + | 1.48231i | ||||
\(523\) | 3.36141 | + | 4.09590i | 0.146984 | + | 0.179101i | 0.841298 | − | 0.540571i | \(-0.181792\pi\) |
−0.694314 | + | 0.719673i | \(0.744292\pi\) | |||||||
\(524\) | −2.92864 | + | 5.77299i | −0.127938 | + | 0.252194i | ||||
\(525\) | 36.1196 | + | 10.7924i | 1.57639 | + | 0.471017i | ||||
\(526\) | −0.503090 | − | 1.59675i | −0.0219358 | − | 0.0696216i | ||||
\(527\) | 4.25315 | − | 10.2680i | 0.185270 | − | 0.447282i | ||||
\(528\) | −29.5576 | + | 13.9035i | −1.28633 | + | 0.605072i | ||||
\(529\) | −2.21474 | − | 5.34685i | −0.0962929 | − | 0.232472i | ||||
\(530\) | 0.105648 | − | 0.0886120i | 0.00458906 | − | 0.00384906i | ||||
\(531\) | 1.78857 | − | 6.07830i | 0.0776175 | − | 0.263776i | ||||
\(532\) | 24.2047 | + | 43.0420i | 1.04941 | + | 1.86611i | ||||
\(533\) | 2.12919 | + | 0.209707i | 0.0922255 | + | 0.00908342i | ||||
\(534\) | 34.1615 | − | 14.7492i | 1.47831 | − | 0.638260i | ||||
\(535\) | −2.30369 | + | 3.44771i | −0.0995970 | + | 0.149057i | ||||
\(536\) | 1.14416 | + | 35.6268i | 0.0494203 | + | 1.53884i | ||||
\(537\) | −14.5083 | − | 2.82299i | −0.626078 | − | 0.121821i | ||||
\(538\) | −8.83538 | − | 5.76781i | −0.380920 | − | 0.248668i | ||||
\(539\) | 81.0834 | − | 24.5964i | 3.49251 | − | 1.05944i | ||||
\(540\) | −8.33903 | + | 0.282984i | −0.358855 | + | 0.0121777i | ||||
\(541\) | −14.0060 | + | 17.0664i | −0.602166 | + | 0.733742i | −0.981488 | − | 0.191523i | \(-0.938657\pi\) |
0.379322 | + | 0.925265i | \(0.376157\pi\) | |||||||
\(542\) | 7.41930 | − | 0.810993i | 0.318686 | − | 0.0348351i | ||||
\(543\) | −33.0412 | + | 0.137882i | −1.41793 | + | 0.00591708i | ||||
\(544\) | −24.8172 | − | 6.09996i | −1.06403 | − | 0.261534i | ||||
\(545\) | −2.36903 | − | 2.36903i | −0.101478 | − | 0.101478i | ||||
\(546\) | −2.01277 | − | 17.7284i | −0.0861385 | − | 0.758708i | ||||
\(547\) | −16.1018 | + | 19.6201i | −0.688464 | + | 0.838896i | −0.993546 | − | 0.113430i | \(-0.963816\pi\) |
0.305082 | + | 0.952326i | \(0.401316\pi\) | |||||||
\(548\) | −0.758034 | − | 0.295144i | −0.0323816 | − | 0.0126079i | ||||
\(549\) | 13.9398 | − | 4.35595i | 0.594935 | − | 0.185908i | ||||
\(550\) | 28.4195 | − | 5.96985i | 1.21181 | − | 0.254555i | ||||
\(551\) | 32.7995 | − | 21.9159i | 1.39730 | − | 0.933649i | ||||
\(552\) | −4.68559 | − | 19.7775i | −0.199432 | − | 0.841785i | ||||
\(553\) | −21.1125 | + | 31.5970i | −0.897793 | + | 1.34364i | ||||
\(554\) | 4.26774 | + | 9.99922i | 0.181319 | + | 0.424826i | ||||
\(555\) | −5.49404 | − | 6.63783i | −0.233209 | − | 0.281760i | ||||
\(556\) | 23.3198 | − | 2.80190i | 0.988981 | − | 0.118827i | ||||
\(557\) | −23.0401 | − | 6.98915i | −0.976242 | − | 0.296140i | −0.238440 | − | 0.971157i | \(-0.576636\pi\) |
−0.737802 | + | 0.675017i | \(0.764136\pi\) | |||||||
\(558\) | −10.4047 | − | 0.825020i | −0.440466 | − | 0.0349259i | ||||
\(559\) | −2.53024 | − | 6.10854i | −0.107018 | − | 0.258364i | ||||
\(560\) | −3.99723 | + | 15.5429i | −0.168914 | + | 0.656808i | ||||
\(561\) | 14.2600 | + | 34.0244i | 0.602058 | + | 1.43651i | ||||
\(562\) | 2.24804 | − | 4.31625i | 0.0948276 | − | 0.182070i | ||||
\(563\) | 19.6701 | + | 36.8001i | 0.828995 | + | 1.55094i | 0.834535 | + | 0.550955i | \(0.185736\pi\) |
−0.00554038 | + | 0.999985i | \(0.501764\pi\) | |||||||
\(564\) | −4.42493 | − | 5.11903i | −0.186323 | − | 0.215550i | ||||
\(565\) | 4.95064 | + | 6.03238i | 0.208275 | + | 0.253784i | ||||
\(566\) | −7.23127 | − | 7.07813i | −0.303953 | − | 0.297516i | ||||
\(567\) | 43.9579 | − | 9.50917i | 1.84606 | − | 0.399348i | ||||
\(568\) | −0.537280 | + | 2.00019i | −0.0225438 | + | 0.0839262i | ||||
\(569\) | −1.36632 | + | 6.86893i | −0.0572789 | + | 0.287961i | −0.998799 | − | 0.0489964i | \(-0.984398\pi\) |
0.941520 | + | 0.336957i | \(0.109398\pi\) | |||||||
\(570\) | 5.51806 | + | 7.99821i | 0.231126 | + | 0.335008i | ||||
\(571\) | −16.5222 | + | 30.9108i | −0.691431 | + | 1.29358i | 0.253826 | + | 0.967250i | \(0.418311\pi\) |
−0.945257 | + | 0.326327i | \(0.894189\pi\) | |||||||
\(572\) | −7.87894 | − | 11.2622i | −0.329435 | − | 0.470897i | ||||
\(573\) | 25.1556 | + | 20.4696i | 1.05089 | + | 0.855129i | ||||
\(574\) | 9.95793 | + | 2.90471i | 0.415636 | + | 0.121240i | ||||
\(575\) | 18.0696i | 0.753555i | ||||||||
\(576\) | 1.73978 | + | 23.9369i | 0.0724908 | + | 0.997369i | ||||
\(577\) | 22.8727i | 0.952203i | 0.879390 | + | 0.476102i | \(0.157951\pi\) | ||||
−0.879390 | + | 0.476102i | \(0.842049\pi\) | |||||||
\(578\) | −1.35024 | + | 4.62891i | −0.0561627 | + | 0.192537i | ||||
\(579\) | −27.0223 | − | 21.9886i | −1.12301 | − | 0.913814i | ||||
\(580\) | 12.6247 | + | 2.23146i | 0.524211 | + | 0.0926563i | ||||
\(581\) | 6.80317 | − | 12.7278i | 0.282243 | − | 0.528039i | ||||
\(582\) | −28.8964 | + | 19.9359i | −1.19779 | + | 0.826371i | ||||
\(583\) | −0.111700 | + | 0.561553i | −0.00462613 | + | 0.0232571i | ||||
\(584\) | −28.5388 | + | 3.73918i | −1.18094 | + | 0.154728i | ||||
\(585\) | −0.713668 | − | 3.43766i | −0.0295066 | − | 0.142130i | ||||
\(586\) | −21.0805 | + | 21.5366i | −0.870829 | + | 0.889670i | ||||
\(587\) | −3.37150 | − | 4.10818i | −0.139157 | − | 0.169563i | 0.698769 | − | 0.715348i | \(-0.253732\pi\) |
−0.837925 | + | 0.545785i | \(0.816232\pi\) | |||||||
\(588\) | 4.51579 | − | 62.0925i | 0.186228 | − | 2.56065i | ||||
\(589\) | 5.72987 | + | 10.7198i | 0.236095 | + | 0.441703i | ||||
\(590\) | −2.12688 | − | 1.10774i | −0.0875624 | − | 0.0456051i | ||||
\(591\) | −11.5053 | − | 27.4517i | −0.473265 | − | 1.12921i | ||||
\(592\) | −18.4683 | + | 16.5286i | −0.759043 | + | 0.679320i | ||||
\(593\) | −0.711508 | − | 1.71773i | −0.0292181 | − | 0.0705388i | 0.908597 | − | 0.417674i | \(-0.137155\pi\) |
−0.937815 | + | 0.347135i | \(0.887155\pi\) | |||||||
\(594\) | 26.2640 | − | 22.5949i | 1.07762 | − | 0.927081i | ||||
\(595\) | 17.3453 | + | 5.26163i | 0.711087 | + | 0.215706i | ||||
\(596\) | 24.2917 | − | 30.9262i | 0.995028 | − | 1.26679i | ||||
\(597\) | −0.548656 | − | 0.662879i | −0.0224550 | − | 0.0271298i | ||||
\(598\) | 7.86592 | − | 3.35723i | 0.321662 | − | 0.137288i | ||||
\(599\) | 12.9172 | − | 19.3320i | 0.527783 | − | 0.789883i | −0.467794 | − | 0.883838i | \(-0.654951\pi\) |
0.995576 | + | 0.0939550i | \(0.0299510\pi\) | |||||||
\(600\) | 3.40088 | − | 21.0641i | 0.138840 | − | 0.859939i | ||||
\(601\) | 20.8951 | − | 13.9617i | 0.852329 | − | 0.569508i | −0.0508818 | − | 0.998705i | \(-0.516203\pi\) |
0.903211 | + | 0.429196i | \(0.141203\pi\) | |||||||
\(602\) | −6.58995 | − | 31.3716i | −0.268586 | − | 1.27861i | ||||
\(603\) | −11.2765 | − | 36.0866i | −0.459214 | − | 1.46956i | ||||
\(604\) | 4.45611 | + | 10.1387i | 0.181317 | + | 0.412536i | ||||
\(605\) | 5.71907 | − | 6.96871i | 0.232513 | − | 0.283318i | ||||
\(606\) | −40.2582 | + | 4.57064i | −1.63538 | + | 0.185670i | ||||
\(607\) | −17.3030 | − | 17.3030i | −0.702309 | − | 0.702309i | 0.262597 | − | 0.964906i | \(-0.415421\pi\) |
−0.964906 | + | 0.262597i | \(0.915421\pi\) | |||||||
\(608\) | 22.3757 | − | 16.7487i | 0.907453 | − | 0.679251i | ||||
\(609\) | −69.1035 | + | 0.288371i | −2.80021 | + | 0.0116854i | ||||
\(610\) | −0.600632 | − | 5.49484i | −0.0243189 | − | 0.222479i | ||||
\(611\) | 1.80625 | − | 2.20092i | 0.0730730 | − | 0.0890397i | ||||
\(612\) | 27.0942 | − | 0.806257i | 1.09522 | − | 0.0325910i | ||||
\(613\) | 23.0840 | − | 7.00244i | 0.932352 | − | 0.282826i | 0.212666 | − | 0.977125i | \(-0.431785\pi\) |
0.719687 | + | 0.694299i | \(0.244285\pi\) | |||||||
\(614\) | 6.64886 | − | 10.1850i | 0.268326 | − | 0.411034i | ||||
\(615\) | 2.00357 | + | 0.389851i | 0.0807919 | + | 0.0157203i | ||||
\(616\) | −27.4644 | − | 60.7155i | −1.10657 | − | 2.44630i | ||||
\(617\) | −1.14469 | + | 1.71316i | −0.0460836 | + | 0.0689690i | −0.853796 | − | 0.520608i | \(-0.825705\pi\) |
0.807712 | + | 0.589577i | \(0.200705\pi\) | |||||||
\(618\) | 7.95397 | + | 18.4227i | 0.319956 | + | 0.741068i | ||||
\(619\) | 22.2381 | + | 2.19026i | 0.893825 | + | 0.0880341i | 0.534490 | − | 0.845175i | \(-0.320504\pi\) |
0.359335 | + | 0.933209i | \(0.383004\pi\) | |||||||
\(620\) | −1.06557 | + | 3.80395i | −0.0427942 | + | 0.152770i | ||||
\(621\) | 10.3995 | + | 18.8836i | 0.417318 | + | 0.757773i | ||||
\(622\) | 13.8535 | + | 16.5169i | 0.555473 | + | 0.662265i | ||||
\(623\) | 29.0498 | + | 70.1324i | 1.16386 | + | 2.80980i | ||||
\(624\) | −9.80133 | + | 2.43315i | −0.392367 | + | 0.0974040i | ||||
\(625\) | −6.02580 | + | 14.5476i | −0.241032 | + | 0.581902i | ||||
\(626\) | −10.0863 | + | 3.17791i | −0.403130 | + | 0.127015i | ||||
\(627\) | −38.6587 | − | 11.5511i | −1.54388 | − | 0.461305i | ||||
\(628\) | 1.47916 | + | 4.52516i | 0.0590251 | + | 0.180574i | ||||
\(629\) | 17.7581 | + | 21.6383i | 0.708060 | + | 0.862774i | ||||
\(630\) | −0.324209 | − | 17.0191i | −0.0129168 | − | 0.678058i | ||||
\(631\) | 1.69905 | + | 8.54168i | 0.0676380 | + | 0.340039i | 0.999755 | − | 0.0221172i | \(-0.00704070\pi\) |
−0.932117 | + | 0.362156i | \(0.882041\pi\) | |||||||
\(632\) | 19.2849 | + | 9.52513i | 0.767111 | + | 0.378889i | ||||
\(633\) | −30.6692 | + | 20.6782i | −1.21899 | + | 0.821883i | ||||
\(634\) | −0.388857 | + | 0.265889i | −0.0154435 | + | 0.0105598i | ||||
\(635\) | −3.55143 | + | 6.64427i | −0.140934 | + | 0.263670i | ||||
\(636\) | 0.355647 | + | 0.224697i | 0.0141023 | + | 0.00890982i | ||||
\(637\) | 26.0704 | − | 2.56771i | 1.03295 | − | 0.101737i | ||||
\(638\) | −46.6765 | + | 25.5951i | −1.84794 | + | 1.01332i | ||||
\(639\) | −0.0183337 | − | 2.19665i | −0.000725270 | − | 0.0868982i | ||||
\(640\) | 9.01671 | + | 1.10040i | 0.356417 | + | 0.0434972i | ||||
\(641\) | − | 18.7356i | − | 0.740011i | −0.929030 | − | 0.370005i | \(-0.879356\pi\) | ||
0.929030 | − | 0.370005i | \(-0.120644\pi\) | |||||||
\(642\) | −12.1590 | − | 3.49177i | −0.479878 | − | 0.137809i | ||||
\(643\) | −1.17714 | − | 11.9517i | −0.0464219 | − | 0.471330i | −0.990090 | − | 0.140436i | \(-0.955150\pi\) |
0.943668 | − | 0.330894i | \(-0.107350\pi\) | |||||||
\(644\) | 40.4856 | − | 8.95787i | 1.59536 | − | 0.352989i | ||||
\(645\) | −1.85626 | − | 6.02860i | −0.0730903 | − | 0.237376i | ||||
\(646\) | −17.8176 | − | 26.0579i | −0.701025 | − | 1.02524i | ||||
\(647\) | −0.371953 | + | 1.86993i | −0.0146230 | + | 0.0735146i | −0.987408 | − | 0.158196i | \(-0.949432\pi\) |
0.972785 | + | 0.231711i | \(0.0744322\pi\) | |||||||
\(648\) | −8.56884 | − | 23.9703i | −0.336616 | − | 0.941642i | ||||
\(649\) | 9.76607 | − | 1.94259i | 0.383352 | − | 0.0762534i | ||||
\(650\) | 8.97772 | − | 0.0960779i | 0.352135 | − | 0.00376849i | ||||
\(651\) | 1.99865 | − | 21.1992i | 0.0783334 | − | 0.830862i | ||||
\(652\) | −12.6963 | − | 38.8415i | −0.497227 | − | 1.52115i | ||||
\(653\) | −9.70930 | − | 18.1648i | −0.379954 | − | 0.710844i | 0.617154 | − | 0.786843i | \(-0.288286\pi\) |
−0.997108 | + | 0.0759983i | \(0.975786\pi\) | |||||||
\(654\) | 4.68369 | − | 9.08508i | 0.183147 | − | 0.355255i | ||||
\(655\) | −2.40087 | − | 0.994472i | −0.0938097 | − | 0.0388572i | ||||
\(656\) | 0.897936 | − | 5.80204i | 0.0350585 | − | 0.226532i | ||||
\(657\) | 28.1063 | − | 11.9178i | 1.09653 | − | 0.464957i | ||||
\(658\) | 10.5764 | − | 8.87094i | 0.412312 | − | 0.345825i | ||||
\(659\) | 41.5149 | + | 12.5934i | 1.61719 | + | 0.490569i | 0.963839 | − | 0.266486i | \(-0.0858626\pi\) |
0.653351 | + | 0.757055i | \(0.273363\pi\) | |||||||
\(660\) | −6.47507 | − | 11.4026i | −0.252042 | − | 0.443847i | ||||
\(661\) | −0.712737 | + | 7.23654i | −0.0277223 | + | 0.281469i | 0.971322 | + | 0.237767i | \(0.0764153\pi\) |
−0.999045 | + | 0.0437024i | \(0.986085\pi\) | |||||||
\(662\) | 0.654448 | − | 1.62907i | 0.0254359 | − | 0.0633156i | ||||
\(663\) | 2.27183 | + | 11.1773i | 0.0882307 | + | 0.434091i | ||||
\(664\) | −7.64318 | − | 2.88211i | −0.296613 | − | 0.111847i | ||||
\(665\) | −16.4827 | + | 11.0134i | −0.639173 | + | 0.427082i | ||||
\(666\) | 14.1858 | − | 22.1318i | 0.549690 | − | 0.857591i | ||||
\(667\) | −9.61534 | − | 31.6975i | −0.372307 | − | 1.22733i | ||||
\(668\) | 0.0344273 | + | 1.60829i | 0.00133203 | + | 0.0622268i | ||||
\(669\) | −34.7749 | + | 3.57162i | −1.34448 | + | 0.138087i | ||||
\(670\) | −14.2248 | + | 1.55489i | −0.549551 | + | 0.0600705i | ||||
\(671\) | 16.2294 | + | 16.2294i | 0.626530 | + | 0.626530i | ||||
\(672\) | −48.8808 | + | 2.82258i | −1.88562 | + | 0.108883i | ||||
\(673\) | 16.1056 | − | 16.1056i | 0.620827 | − | 0.620827i | −0.324916 | − | 0.945743i | \(-0.605336\pi\) |
0.945743 | + | 0.324916i | \(0.105336\pi\) | |||||||
\(674\) | −5.91575 | + | 7.36775i | −0.227866 | + | 0.283795i | ||||
\(675\) | 2.50002 | + | 22.4927i | 0.0962258 | + | 0.865744i | ||||
\(676\) | 8.75173 | + | 19.9122i | 0.336605 | + | 0.765853i | ||||
\(677\) | −6.59259 | + | 1.99984i | −0.253374 | + | 0.0768601i | −0.414417 | − | 0.910087i | \(-0.636014\pi\) |
0.161043 | + | 0.986947i | \(0.448514\pi\) | |||||||
\(678\) | −12.9312 | + | 19.9903i | −0.496619 | + | 0.767722i | ||||
\(679\) | −39.7899 | − | 59.5498i | −1.52700 | − | 2.28531i | ||||
\(680\) | 1.67747 | − | 10.1212i | 0.0643279 | − | 0.388129i | ||||
\(681\) | −0.513832 | − | 2.52803i | −0.0196901 | − | 0.0968743i | ||||
\(682\) | −6.43896 | − | 15.0863i | −0.246560 | − | 0.577686i | ||||
\(683\) | 1.65727 | + | 0.163226i | 0.0634135 | + | 0.00624568i | 0.129674 | − | 0.991557i | \(-0.458607\pi\) |
−0.0662606 | + | 0.997802i | \(0.521107\pi\) | |||||||
\(684\) | −18.1168 | + | 23.4653i | −0.692713 | + | 0.897219i | ||||
\(685\) | 0.0947953 | − | 0.312498i | 0.00362194 | − | 0.0119399i | ||||
\(686\) | 77.2431 | + | 6.77400i | 2.94915 | + | 0.258632i | ||||
\(687\) | 12.2614 | − | 29.9545i | 0.467800 | − | 1.14283i | ||||
\(688\) | −17.1214 | + | 6.00508i | −0.652746 | + | 0.228941i | ||||
\(689\) | −0.0677413 | + | 0.163542i | −0.00258074 | + | 0.00623045i | ||||
\(690\) | 7.77186 | − | 2.48439i | 0.295870 | − | 0.0945791i | ||||
\(691\) | −8.32742 | + | 4.45110i | −0.316790 | + | 0.169328i | −0.622127 | − | 0.782917i | \(-0.713731\pi\) |
0.305336 | + | 0.952245i | \(0.401231\pi\) | |||||||
\(692\) | −23.6147 | + | 20.2412i | −0.897696 | + | 0.769454i | ||||
\(693\) | 45.2937 | + | 54.2607i | 1.72057 | + | 2.06119i | ||||
\(694\) | −8.63791 | − | 8.45499i | −0.327891 | − | 0.320947i | ||||
\(695\) | 1.83949 | + | 9.24773i | 0.0697757 | + | 0.350786i | ||||
\(696\) | 5.24301 | + | 38.7601i | 0.198736 | + | 1.46920i | ||||
\(697\) | −6.50356 | − | 1.29364i | −0.246340 | − | 0.0490001i | ||||
\(698\) | −5.63903 | − | 1.05907i | −0.213441 | − | 0.0400864i | ||||
\(699\) | 1.77327 | + | 5.75905i | 0.0670710 | + | 0.217827i | ||||
\(700\) | 42.8648 | + | 7.57652i | 1.62014 | + | 0.286365i | ||||
\(701\) | −19.9905 | + | 1.96889i | −0.755029 | + | 0.0743639i | −0.468206 | − | 0.883620i | \(-0.655099\pi\) |
−0.286824 | + | 0.957983i | \(0.592599\pi\) | |||||||
\(702\) | 9.32685 | − | 5.26730i | 0.352019 | − | 0.198802i | ||||
\(703\) | −30.6143 | −1.15464 | ||||||||
\(704\) | −32.0545 | + | 19.8776i | −1.20810 | + | 0.749166i | ||||
\(705\) | 1.91270 | − | 1.92873i | 0.0720366 | − | 0.0726403i | ||||
\(706\) | −3.97450 | + | 13.6254i | −0.149582 | + | 0.512799i | ||||
\(707\) | −8.10191 | − | 82.2601i | −0.304704 | − | 3.09371i | ||||
\(708\) | 1.24334 | − | 7.20974i | 0.0467278 | − | 0.270959i | ||||
\(709\) | 5.01820 | + | 2.68228i | 0.188463 | + | 0.100735i | 0.562929 | − | 0.826505i | \(-0.309674\pi\) |
−0.374467 | + | 0.927240i | \(0.622174\pi\) | |||||||
\(710\) | −0.817140 | − | 0.153468i | −0.0306667 | − | 0.00575954i | ||||
\(711\) | −22.4117 | − | 4.26383i | −0.840504 | − | 0.159906i | ||||
\(712\) | 37.2228 | − | 21.4598i | 1.39498 | − | 0.804240i | ||||
\(713\) | 10.0104 | − | 1.99119i | 0.374893 | − | 0.0745708i | ||||
\(714\) | 0.822511 | + | 55.2930i | 0.0307817 | + | 2.06929i | ||||
\(715\) | 4.26523 | − | 3.50038i | 0.159510 | − | 0.130907i | ||||
\(716\) | −17.0166 | − | 1.30897i | −0.635941 | − | 0.0489186i | ||||
\(717\) | 5.21548 | + | 1.55836i | 0.194776 | + | 0.0581981i | ||||
\(718\) | 40.2767 | + | 20.9773i | 1.50311 | + | 0.782866i | ||||
\(719\) | −37.4970 | − | 15.5318i | −1.39840 | − | 0.579237i | −0.449065 | − | 0.893499i | \(-0.648243\pi\) |
−0.949336 | + | 0.314263i | \(0.898243\pi\) | |||||||
\(720\) | −9.52741 | + | 1.43336i | −0.355065 | + | 0.0534183i | ||||
\(721\) | −37.8211 | + | 15.6660i | −1.40853 | + | 0.583434i | ||||
\(722\) | 7.62475 | + | 0.668669i | 0.283764 | + | 0.0248853i | ||||
\(723\) | −20.1979 | − | 37.4113i | −0.751168 | − | 1.39134i | ||||
\(724\) | −37.8806 | + | 4.55139i | −1.40782 | + | 0.169151i | ||||
\(725\) | 3.40835 | − | 34.6056i | 0.126583 | − | 1.28522i | ||||
\(726\) | 25.5637 | + | 10.1461i | 0.948759 | + | 0.376555i | ||||
\(727\) | 5.35549 | + | 3.57842i | 0.198624 | + | 0.132716i | 0.650905 | − | 0.759159i | \(-0.274390\pi\) |
−0.452281 | + | 0.891876i | \(0.649390\pi\) | |||||||
\(728\) | −4.66590 | − | 20.0673i | −0.172930 | − | 0.743742i | ||||
\(729\) | 15.5577 | + | 22.0671i | 0.576212 | + | 0.817300i | ||||
\(730\) | −2.37533 | − | 11.3078i | −0.0879150 | − | 0.418521i | ||||
\(731\) | 5.94857 | + | 19.6098i | 0.220016 | + | 0.725294i | ||||
\(732\) | 15.4100 | − | 6.84983i | 0.569570 | − | 0.253177i | ||||
\(733\) | 27.1321 | + | 22.2667i | 1.00215 | + | 0.822441i | 0.984139 | − | 0.177397i | \(-0.0567676\pi\) |
0.0180078 | + | 0.999838i | \(0.494268\pi\) | |||||||
\(734\) | −21.9932 | + | 27.3913i | −0.811782 | + | 1.01103i | ||||
\(735\) | 24.9922 | − | 0.104293i | 0.921852 | − | 0.00384691i | ||||
\(736\) | −8.00412 | − | 22.0621i | −0.295036 | − | 0.813221i | ||||
\(737\) | 42.0140 | − | 42.0140i | 1.54760 | − | 1.54760i | ||||
\(738\) | 0.728302 | + | 6.18452i | 0.0268092 | + | 0.227655i | ||||
\(739\) | 19.2065 | + | 15.7624i | 0.706524 | + | 0.579829i | 0.917535 | − | 0.397654i | \(-0.130176\pi\) |
−0.211011 | + | 0.977484i | \(0.567676\pi\) | |||||||
\(740\) | −7.18436 | − | 6.88323i | −0.264102 | − | 0.253032i | ||||
\(741\) | −11.0258 | − | 5.83436i | −0.405041 | − | 0.214331i | ||||
\(742\) | −0.469144 | + | 0.718655i | −0.0172228 | + | 0.0263827i | ||||
\(743\) | 27.5083 | + | 41.1691i | 1.00918 | + | 1.51035i | 0.852520 | + | 0.522694i | \(0.175073\pi\) |
0.156661 | + | 0.987652i | \(0.449927\pi\) | |||||||
\(744\) | −12.0441 | + | 0.437118i | −0.441558 | + | 0.0160255i | ||||
\(745\) | 13.1265 | + | 8.77082i | 0.480916 | + | 0.321338i | ||||
\(746\) | −8.09036 | + | 20.1388i | −0.296209 | + | 0.737332i | ||||
\(747\) | 8.62910 | + | 0.777233i | 0.315722 | + | 0.0284375i | ||||
\(748\) | 20.8805 | + | 37.1306i | 0.763465 | + | 1.35763i | ||||
\(749\) | 7.49171 | − | 24.6968i | 0.273741 | − | 0.902403i | ||||
\(750\) | 18.3350 | + | 1.53086i | 0.669501 | + | 0.0558990i | ||||
\(751\) | 1.18175 | − | 0.489496i | 0.0431226 | − | 0.0178620i | −0.361018 | − | 0.932559i | \(-0.617571\pi\) |
0.404140 | + | 0.914697i | \(0.367571\pi\) | |||||||
\(752\) | −5.75612 | − | 5.28328i | −0.209904 | − | 0.192661i | ||||
\(753\) | −2.38830 | − | 5.69849i | −0.0870346 | − | 0.207665i | ||||
\(754\) | −15.6975 | + | 4.94583i | −0.571669 | + | 0.180116i | ||||
\(755\) | −3.92090 | + | 2.09577i | −0.142696 | + | 0.0762728i | ||||
\(756\) | 49.1563 | − | 16.7519i | 1.78780 | − | 0.609262i | ||||
\(757\) | 28.4323 | − | 23.3338i | 1.03339 | − | 0.848082i | 0.0448436 | − | 0.998994i | \(-0.485721\pi\) |
0.988547 | + | 0.150912i | \(0.0482210\pi\) | |||||||
\(758\) | −0.432920 | + | 0.00463303i | −0.0157243 | + | 0.000168279i | ||||
\(759\) | −18.7047 | + | 28.2481i | −0.678939 | + | 1.02534i | ||||
\(760\) | 7.39278 | + | 8.44041i | 0.268164 | + | 0.306166i | ||||
\(761\) | −22.1365 | − | 4.40323i | −0.802448 | − | 0.159617i | −0.223205 | − | 0.974772i | \(-0.571652\pi\) |
−0.579243 | + | 0.815155i | \(0.696652\pi\) | |||||||
\(762\) | −22.6073 | − | 4.14830i | −0.818975 | − | 0.150277i | ||||
\(763\) | 18.3903 | + | 9.82980i | 0.665772 | + | 0.355863i | ||||
\(764\) | 31.5756 | + | 20.1343i | 1.14237 | + | 0.728433i | ||||
\(765\) | 1.15692 | + | 10.8199i | 0.0418286 | + | 0.391194i | ||||
\(766\) | 42.5498 | − | 23.3322i | 1.53739 | − | 0.843025i | ||||
\(767\) | 3.07853 | 0.111159 | ||||||||
\(768\) | 5.17826 | + | 27.2247i | 0.186854 | + | 0.982388i | ||||
\(769\) | 27.4054 | 0.988264 | 0.494132 | − | 0.869387i | \(-0.335486\pi\) | ||||
0.494132 | + | 0.869387i | \(0.335486\pi\) | |||||||
\(770\) | 23.4564 | − | 12.8623i | 0.845309 | − | 0.463525i | ||||
\(771\) | 34.8771 | + | 28.3801i | 1.25607 | + | 1.02209i | ||||
\(772\) | −33.9188 | − | 21.6284i | −1.22076 | − | 0.778423i | ||||
\(773\) | 19.6604 | + | 10.5087i | 0.707137 | + | 0.377973i | 0.785424 | − | 0.618958i | \(-0.212445\pi\) |
−0.0782869 | + | 0.996931i | \(0.524945\pi\) | |||||||
\(774\) | 15.7947 | − | 10.9945i | 0.567730 | − | 0.395190i | ||||
\(775\) | 10.5088 | + | 2.09034i | 0.377488 | + | 0.0750871i | ||||
\(776\) | −30.4940 | + | 26.7090i | −1.09467 | + | 0.958799i | ||||
\(777\) | 44.7156 | + | 29.6088i | 1.60416 | + | 1.06221i | ||||
\(778\) | 33.7944 | − | 0.361662i | 1.21159 | − | 0.0129662i | ||||
\(779\) | 5.60595 | − | 4.60069i | 0.200854 | − | 0.164837i | ||||
\(780\) | −1.27567 | − | 3.84817i | −0.0456763 | − | 0.137787i | ||||
\(781\) | 3.04465 | − | 1.62740i | 0.108946 | − | 0.0582330i | ||||
\(782\) | −25.2815 | + | 7.96548i | −0.904065 | + | 0.284845i | ||||
\(783\) | −16.3545 | − | 38.1261i | −0.584461 | − | 1.36251i | ||||
\(784\) | −3.07626 | − | 71.8218i | −0.109866 | − | 2.56506i | ||||
\(785\) | −1.76570 | + | 0.731377i | −0.0630206 | + | 0.0261040i | ||||
\(786\) | 0.659659 | − | 7.90072i | 0.0235293 | − | 0.281809i | ||||
\(787\) | −6.45576 | + | 21.2818i | −0.230123 | + | 0.758614i | 0.763495 | + | 0.645814i | \(0.223482\pi\) |
−0.993618 | + | 0.112800i | \(0.964018\pi\) | |||||||
\(788\) | −16.8469 | − | 29.9579i | −0.600145 | − | 1.06721i | ||||
\(789\) | 1.30735 | + | 1.57952i | 0.0465429 | + | 0.0562325i | ||||
\(790\) | −3.21876 | + | 8.01224i | −0.114518 | + | 0.285063i | ||||
\(791\) | −40.3852 | − | 26.9845i | −1.43593 | − | 0.959458i | ||||
\(792\) | 27.1210 | − | 29.4089i | 0.963704 | − | 1.04500i | ||||
\(793\) | 3.94235 | + | 5.90014i | 0.139997 | + | 0.209520i | ||||
\(794\) | −14.8159 | + | 22.6957i | −0.525798 | + | 0.805440i | ||||
\(795\) | −0.0789872 | + | 0.149270i | −0.00280139 | + | 0.00529405i | ||||
\(796\) | −0.717457 | − | 0.687385i | −0.0254296 | − | 0.0243637i | ||||
\(797\) | 22.6236 | + | 18.5667i | 0.801371 | + | 0.657668i | 0.943201 | − | 0.332223i | \(-0.107799\pi\) |
−0.141830 | + | 0.989891i | \(0.545299\pi\) | |||||||
\(798\) | −47.3165 | − | 37.6679i | −1.67498 | − | 1.33343i | ||||
\(799\) | −6.23979 | + | 6.23979i | −0.220748 | + | 0.220748i | ||||
\(800\) | 1.10015 | − | 24.6131i | 0.0388960 | − | 0.870206i | ||||
\(801\) | −31.9543 | + | 32.4922i | −1.12905 | + | 1.14805i | ||||
\(802\) | −31.1440 | + | 38.7882i | −1.09973 | + | 1.36966i | ||||
\(803\) | 37.0873 | + | 30.4367i | 1.30878 | + | 1.07409i | ||||
\(804\) | −17.7325 | − | 39.8927i | −0.625377 | − | 1.40691i | ||||
\(805\) | 4.83200 | + | 15.9290i | 0.170306 | + | 0.561422i | ||||
\(806\) | −1.04253 | − | 4.96299i | −0.0367216 | − | 0.174814i | ||||
\(807\) | 12.6848 | + | 2.46819i | 0.446528 | + | 0.0868844i | ||||
\(808\) | −45.5692 | + | 10.5954i | −1.60312 | + | 0.372746i | ||||
\(809\) | −13.8919 | − | 9.28227i | −0.488413 | − | 0.326347i | 0.286861 | − | 0.957972i | \(-0.407388\pi\) |
−0.775274 | + | 0.631625i | \(0.782388\pi\) | |||||||
\(810\) | 9.33053 | − | 4.16779i | 0.327841 | − | 0.146441i | ||||
\(811\) | −5.21617 | + | 52.9607i | −0.183165 | + | 1.85970i | 0.263060 | + | 0.964779i | \(0.415268\pi\) |
−0.446225 | + | 0.894921i | \(0.647232\pi\) | |||||||
\(812\) | −79.2247 | + | 9.51891i | −2.78024 | + | 0.334048i | ||||
\(813\) | −8.04348 | + | 4.34258i | −0.282097 | + | 0.152301i | ||||
\(814\) | 41.1552 | + | 3.60919i | 1.44249 | + | 0.126502i | ||||
\(815\) | 15.1558 | − | 6.27774i | 0.530885 | − | 0.219900i | ||||
\(816\) | 30.9703 | − | 4.52729i | 1.08418 | − | 0.158487i | ||||
\(817\) | −20.7057 | − | 8.57659i | −0.724402 | − | 0.300057i | ||||
\(818\) | 20.4272 | + | 10.6391i | 0.714221 | + | 0.371988i | ||||
\(819\) | 10.4616 | + | 19.1854i | 0.365558 | + | 0.670391i | ||||
\(820\) | 2.34997 | + | 0.180767i | 0.0820647 | + | 0.00631267i | ||||
\(821\) | −41.9283 | + | 34.4096i | −1.46331 | + | 1.20090i | −0.526930 | + | 0.849909i | \(0.676657\pi\) |
−0.936377 | + | 0.350996i | \(0.885843\pi\) | |||||||
\(822\) | 0.996177 | − | 0.0148186i | 0.0347457 | − | 0.000516859i | ||||
\(823\) | 16.6940 | − | 3.32065i | 0.581917 | − | 0.115751i | 0.104651 | − | 0.994509i | \(-0.466628\pi\) |
0.477267 | + | 0.878758i | \(0.341628\pi\) | |||||||
\(824\) | 11.5729 | + | 20.0736i | 0.403160 | + | 0.699296i | ||||
\(825\) | −29.4896 | + | 19.8828i | −1.02670 | + | 0.692231i | ||||
\(826\) | 14.6692 | + | 2.75503i | 0.510407 | + | 0.0958599i | ||||
\(827\) | −44.5467 | − | 23.8107i | −1.54904 | − | 0.827979i | −0.549070 | − | 0.835776i | \(-0.685018\pi\) |
−0.999970 | + | 0.00779697i | \(0.997518\pi\) | |||||||
\(828\) | 14.4392 | + | 20.2771i | 0.501799 | + | 0.704679i | ||||
\(829\) | 0.484010 | + | 4.91423i | 0.0168104 | + | 0.170678i | 0.999924 | − | 0.0123169i | \(-0.00392069\pi\) |
−0.983114 | + | 0.182995i | \(0.941421\pi\) | |||||||
\(830\) | 0.918265 | − | 3.14800i | 0.0318735 | − | 0.109269i | ||||
\(831\) | −9.45454 | − | 9.37596i | −0.327974 | − | 0.325248i | ||||
\(832\) | −10.9188 | + | 4.09408i | −0.378541 | + | 0.141937i | ||||
\(833\) | −81.1916 | −2.81312 | ||||||||
\(834\) | −25.1651 | + | 13.9362i | −0.871395 | + | 0.482570i | ||||
\(835\) | −0.642676 | + | 0.0632981i | −0.0222407 | + | 0.00219052i | ||||
\(836\) | −45.8782 | − | 8.10914i | −1.58673 | − | 0.280460i | ||||
\(837\) | 12.1853 | − | 3.86359i | 0.421184 | − | 0.133545i | ||||
\(838\) | 2.95624 | + | 0.555214i | 0.102122 | + | 0.0191795i | ||||
\(839\) | 45.0630 | + | 8.96360i | 1.55575 | + | 0.309458i | 0.896699 | − | 0.442641i | \(-0.145959\pi\) |
0.659050 | + | 0.752099i | \(0.270959\pi\) | |||||||
\(840\) | −2.63477 | − | 19.4782i | −0.0909083 | − | 0.672060i | ||||
\(841\) | 6.77807 | + | 34.0756i | 0.233726 | + | 1.17502i | ||||
\(842\) | −8.65667 | − | 8.47335i | −0.298329 | − | 0.292011i | ||||
\(843\) | −0.559457 | + | 5.93402i | −0.0192687 | + | 0.204378i | ||||
\(844\) | −32.4288 | + | 27.7961i | −1.11625 | + | 0.956781i | ||||
\(845\) | −7.70059 | + | 4.11605i | −0.264908 | + | 0.141596i | ||||
\(846\) | 7.38168 | + | 3.76662i | 0.253787 | + | 0.129499i | ||||
\(847\) | −21.4723 | + | 51.8388i | −0.737798 | + | 1.78120i | ||||
\(848\) | 0.437810 | + | 0.210444i | 0.0150345 | + | 0.00722669i | ||||
\(849\) | 11.4693 | + | 4.69478i | 0.393627 | + | 0.161124i | ||||
\(850\) | −27.7200 | − | 2.43097i | −0.950789 | − | 0.0833815i | ||||
\(851\) | −7.46222 | + | 24.5996i | −0.255801 | + | 0.843265i | ||||
\(852\) | −0.313101 | − | 2.51717i | −0.0107266 | − | 0.0862367i | ||||
\(853\) | −19.8039 | − | 1.95051i | −0.678072 | − | 0.0667842i | −0.246882 | − | 0.969046i | \(-0.579406\pi\) |
−0.431190 | + | 0.902261i | \(0.641906\pi\) | |||||||
\(854\) | 13.5051 | + | 31.6422i | 0.462137 | + | 1.08278i | ||||
\(855\) | −9.95004 | − | 6.52895i | −0.340284 | − | 0.223285i | ||||
\(856\) | −14.4109 | − | 2.38844i | −0.492555 | − | 0.0816352i | ||||
\(857\) | 23.2434 | + | 34.7862i | 0.793979 | + | 1.18827i | 0.978662 | + | 0.205476i | \(0.0658743\pi\) |
−0.184683 | + | 0.982798i | \(0.559126\pi\) | |||||||
\(858\) | 14.1342 | + | 9.14307i | 0.482535 | + | 0.312139i | ||||
\(859\) | 10.5840 | − | 3.21061i | 0.361120 | − | 0.109545i | −0.104511 | − | 0.994524i | \(-0.533328\pi\) |
0.465630 | + | 0.884979i | \(0.345828\pi\) | |||||||
\(860\) | −2.93075 | − | 6.66812i | −0.0999377 | − | 0.227381i | ||||
\(861\) | −12.6377 | + | 1.29798i | −0.430692 | + | 0.0442350i | ||||
\(862\) | 3.23686 | − | 4.03134i | 0.110248 | − | 0.137308i | ||||
\(863\) | 17.1418 | − | 17.1418i | 0.583513 | − | 0.583513i | −0.352354 | − | 0.935867i | \(-0.614619\pi\) |
0.935867 | + | 0.352354i | \(0.114619\pi\) | |||||||
\(864\) | −13.0158 | − | 26.3551i | −0.442805 | − | 0.896618i | ||||
\(865\) | −8.82881 | − | 8.82881i | −0.300189 | − | 0.300189i | ||||
\(866\) | −14.2211 | + | 1.55449i | −0.483253 | + | 0.0528236i | ||||
\(867\) | −0.603360 | − | 5.87460i | −0.0204912 | − | 0.199512i | ||||
\(868\) | −0.526197 | − | 24.5817i | −0.0178603 | − | 0.834356i | ||||
\(869\) | −10.4076 | − | 34.3093i | −0.353054 | − | 1.16386i | ||||
\(870\) | −15.3527 | + | 3.29196i | −0.520506 | + | 0.111608i | ||||
\(871\) | 15.2740 | − | 10.2058i | 0.517539 | − | 0.345809i | ||||
\(872\) | 4.16432 | − | 11.0435i | 0.141022 | − | 0.373981i | ||||
\(873\) | 23.5881 | − | 35.9481i | 0.798338 | − | 1.21666i | ||||
\(874\) | 10.8066 | − | 26.9001i | 0.365538 | − | 0.909908i | ||||
\(875\) | −3.67911 | + | 37.3546i | −0.124377 | + | 1.26282i | ||||
\(876\) | 30.6539 | − | 17.4070i | 1.03570 | − | 0.588129i | ||||
\(877\) | −30.3019 | − | 9.19198i | −1.02322 | − | 0.310391i | −0.266296 | − | 0.963891i | \(-0.585800\pi\) |
−0.756926 | + | 0.653500i | \(0.773300\pi\) | |||||||
\(878\) | −14.5627 | + | 12.2144i | −0.491468 | + | 0.412217i | ||||
\(879\) | 13.9823 | − | 34.1587i | 0.471611 | − | 1.15215i | ||||
\(880\) | −8.94316 | − | 12.2181i | −0.301474 | − | 0.411873i | ||||
\(881\) | 34.7293 | + | 14.3854i | 1.17006 | + | 0.484655i | 0.881213 | − | 0.472720i | \(-0.156728\pi\) |
0.288848 | + | 0.957375i | \(0.406728\pi\) | |||||||
\(882\) | 23.5194 | + | 72.5303i | 0.791940 | + | 2.44222i | ||||
\(883\) | −12.6443 | − | 23.6559i | −0.425516 | − | 0.796085i | 0.574228 | − | 0.818695i | \(-0.305302\pi\) |
−0.999744 | + | 0.0226107i | \(0.992802\pi\) | |||||||
\(884\) | 4.09200 | + | 12.5185i | 0.137629 | + | 0.421043i | ||||
\(885\) | 2.92405 | + | 0.275679i | 0.0982910 | + | 0.00926684i | ||||
\(886\) | 5.95078 | − | 0.0636841i | 0.199920 | − | 0.00213951i | ||||
\(887\) | −4.48045 | + | 0.891218i | −0.150439 | + | 0.0299242i | −0.269735 | − | 0.962935i | \(-0.586936\pi\) |
0.119296 | + | 0.992859i | \(0.461936\pi\) | |||||||
\(888\) | 13.3287 | − | 27.2718i | 0.447284 | − | 0.915183i | ||||
\(889\) | 9.14798 | − | 45.9900i | 0.306813 | − | 1.54246i | ||||
\(890\) | 9.73556 | + | 14.2381i | 0.326337 | + | 0.477261i | ||||
\(891\) | −19.3750 | + | 37.7505i | −0.649087 | + | 1.26469i | ||||
\(892\) | −39.4126 | + | 8.72046i | −1.31963 | + | 0.291983i | ||||
\(893\) | −0.945963 | − | 9.60452i | −0.0316554 | − | 0.321403i | ||||
\(894\) | −13.2942 | + | 46.2930i | −0.444625 | + | 1.54827i | ||||
\(895\) | − | 6.85138i | − | 0.229017i | ||||||
\(896\) | −55.6920 | + | 9.73686i | −1.86054 | + | 0.325286i | ||||
\(897\) | −7.37564 | + | 7.43745i | −0.246265 | + | 0.248329i | ||||
\(898\) | 34.3493 | − | 18.8354i | 1.14625 | − | 0.628546i | ||||
\(899\) | −19.5468 | + | 1.92519i | −0.651922 | + | 0.0642087i | ||||
\(900\) | 5.85825 | + | 25.4671i | 0.195275 | + | 0.848905i | ||||
\(901\) | 0.258623 | − | 0.483849i | 0.00861598 | − | 0.0161194i | ||||
\(902\) | −8.07855 | + | 5.52387i | −0.268986 | + | 0.183925i | ||||
\(903\) | 21.9481 | + | 32.5528i | 0.730387 | + | 1.08329i | ||||
\(904\) | −12.1744 | + | 24.6486i | −0.404914 | + | 0.819800i | ||||
\(905\) | −2.98806 | − | 15.0220i | −0.0993263 | − | 0.499347i | ||||
\(906\) | −9.73258 | − | 9.44727i | −0.323343 | − | 0.313865i | ||||
\(907\) | 11.6647 | + | 14.2135i | 0.387321 | + | 0.471952i | 0.929772 | − | 0.368135i | \(-0.120004\pi\) |
−0.542451 | + | 0.840087i | \(0.682504\pi\) | |||||||
\(908\) | −0.925508 | − | 2.83138i | −0.0307141 | − | 0.0939627i | ||||
\(909\) | 43.5666 | − | 23.7564i | 1.44501 | − | 0.787951i | ||||
\(910\) | 7.88847 | − | 2.48543i | 0.261500 | − | 0.0823912i | ||||
\(911\) | 9.52419 | − | 22.9934i | 0.315550 | − | 0.761806i | −0.683929 | − | 0.729548i | \(-0.739730\pi\) |
0.999480 | − | 0.0322576i | \(-0.0102697\pi\) | |||||||
\(912\) | −17.6603 | + | 29.3240i | −0.584791 | + | 0.971016i | ||||
\(913\) | 5.21064 | + | 12.5796i | 0.172447 | + | 0.416324i | ||||
\(914\) | 4.39660 | + | 5.24186i | 0.145426 | + | 0.173385i | ||||
\(915\) | 3.21618 | + | 5.95711i | 0.106324 | + | 0.196936i | ||||
\(916\) | 10.0812 | − | 35.9887i | 0.333092 | − | 1.18910i | ||||
\(917\) | 16.0964 | + | 1.58536i | 0.531550 | + | 0.0523531i | ||||
\(918\) | −30.3678 | + | 13.4131i | −1.00229 | + | 0.442698i | ||||
\(919\) | 22.5573 | − | 33.7594i | 0.744098 | − | 1.11362i | −0.245449 | − | 0.969409i | \(-0.578935\pi\) |
0.989547 | − | 0.144211i | \(-0.0460645\pi\) | |||||||
\(920\) | 8.58415 | − | 3.88301i | 0.283011 | − | 0.128019i | ||||
\(921\) | −2.84521 | + | 14.6225i | −0.0937530 | + | 0.481828i | ||||
\(922\) | −26.5115 | + | 40.6115i | −0.873111 | + | 1.33747i | ||||
\(923\) | 1.02139 | − | 0.309834i | 0.0336194 | − | 0.0101983i | ||||
\(924\) | 59.1674 | + | 56.2158i | 1.94647 | + | 1.84936i | ||||
\(925\) | −17.1200 | + | 20.8608i | −0.562903 | + | 0.685899i | ||||
\(926\) | −2.77395 | − | 25.3773i | −0.0911577 | − | 0.833949i | ||||
\(927\) | −17.5224 | − | 17.2324i | −0.575512 | − | 0.565985i | ||||
\(928\) | 11.1675 | + | 43.7615i | 0.366590 | + | 1.43654i | ||||
\(929\) | −8.40480 | − | 8.40480i | −0.275752 | − | 0.275752i | 0.555658 | − | 0.831411i | \(-0.312466\pi\) |
−0.831411 | + | 0.555658i | \(0.812466\pi\) | |||||||
\(930\) | −0.545790 | − | 4.80732i | −0.0178972 | − | 0.157638i | ||||
\(931\) | 56.3322 | − | 68.6409i | 1.84621 | − | 2.24962i | ||||
\(932\) | 2.79971 | + | 6.36996i | 0.0917074 | + | 0.208655i | ||||
\(933\) | −23.3366 | − | 12.3487i | −0.764005 | − | 0.404279i | ||||
\(934\) | −4.39521 | − | 20.9235i | −0.143816 | − | 0.684637i | ||||
\(935\) | −14.2190 | + | 9.50084i | −0.465012 | + | 0.310711i | ||||
\(936\) | 9.99773 | − | 7.28182i | 0.326786 | − | 0.238014i | ||||
\(937\) | −28.2160 | + | 42.2282i | −0.921776 | + | 1.37953i | 0.00339956 | + | 0.999994i | \(0.498918\pi\) |
−0.925175 | + | 0.379540i | \(0.876082\pi\) | |||||||
\(938\) | 81.9139 | − | 34.9615i | 2.67458 | − | 1.14153i | ||||
\(939\) | 9.97750 | − | 8.25824i | 0.325603 | − | 0.269498i | ||||
\(940\) | 1.93746 | − | 2.46661i | 0.0631930 | − | 0.0804521i | ||||
\(941\) | −33.5715 | − | 10.1838i | −1.09440 | − | 0.331982i | −0.309056 | − | 0.951044i | \(-0.600013\pi\) |
−0.785342 | + | 0.619062i | \(0.787513\pi\) | |||||||
\(942\) | −3.76561 | − | 4.45171i | −0.122690 | − | 0.145044i | ||||
\(943\) | −2.33036 | − | 5.62600i | −0.0758871 | − | 0.183208i | ||||
\(944\) | 0.467518 | − | 8.43503i | 0.0152164 | − | 0.274537i | ||||
\(945\) | 8.21862 | + | 19.1595i | 0.267352 | + | 0.623259i | ||||
\(946\) | 26.8239 | + | 13.9707i | 0.872120 | + | 0.454226i | ||||
\(947\) | 2.39656 | + | 4.48365i | 0.0778777 | + | 0.145699i | 0.917846 | − | 0.396936i | \(-0.129927\pi\) |
−0.839968 | + | 0.542635i | \(0.817427\pi\) | |||||||
\(948\) | −26.2736 | − | 1.91079i | −0.853326 | − | 0.0620596i | ||||
\(949\) | 9.41012 | + | 11.4663i | 0.305465 | + | 0.372211i | ||||
\(950\) | 21.2878 | − | 21.7484i | 0.690668 | − | 0.705611i | ||||
\(951\) | 0.318526 | − | 0.481041i | 0.0103289 | − | 0.0155988i | ||||
\(952\) | 8.29531 | + | 63.3128i | 0.268853 | + | 2.05198i | ||||
\(953\) | −11.3514 | + | 57.0672i | −0.367707 | + | 1.84859i | 0.144203 | + | 0.989548i | \(0.453938\pi\) |
−0.511910 | + | 0.859039i | \(0.671062\pi\) | |||||||
\(954\) | −0.507151 | − | 0.0908733i | −0.0164196 | − | 0.00294213i | ||||
\(955\) | −7.08676 | + | 13.2584i | −0.229322 | + | 0.429032i | ||||
\(956\) | 6.18946 | + | 1.09401i | 0.200182 | + | 0.0353828i | ||||
\(957\) | 41.1502 | − | 50.5705i | 1.33020 | − | 1.63471i | ||||
\(958\) | 14.0078 | − | 48.0217i | 0.452572 | − | 1.55151i | ||||
\(959\) | 2.03252i | 0.0656335i | ||||||||
\(960\) | −10.7375 | + | 2.91088i | −0.346553 | + | 0.0939483i | ||||
\(961\) | 24.9479i | 0.804770i | ||||||||
\(962\) | 12.2618 | + | 3.57673i | 0.395335 | + | 0.115319i | ||||
\(963\) | 15.4058 | − | 1.64727i | 0.496444 | − | 0.0530825i | ||||
\(964\) | −28.1417 | − | 40.2259i | −0.906383 | − | 1.29559i | ||||
\(965\) | 7.61265 | − | 14.2423i | 0.245060 | − | 0.458475i | ||||
\(966\) | −41.8008 | + | 28.8389i | −1.34492 | + | 0.927876i | ||||
\(967\) | 3.09710 | − | 15.5702i | 0.0995961 | − | 0.500704i | −0.898497 | − | 0.438979i | \(-0.855340\pi\) |
0.998093 | − | 0.0617242i | \(-0.0196599\pi\) | |||||||
\(968\) | 30.6711 | + | 8.23872i | 0.985808 | + | 0.264802i | ||||
\(969\) | 32.2354 | + | 21.3450i | 1.03555 | + | 0.685699i | ||||
\(970\) | −11.6295 | − | 11.3832i | −0.373399 | − | 0.365492i | ||||
\(971\) | 5.56925 | + | 6.78615i | 0.178726 | + | 0.217778i | 0.854666 | − | 0.519179i | \(-0.173762\pi\) |
−0.675940 | + | 0.736957i | \(0.736262\pi\) | |||||||
\(972\) | 20.7791 | + | 23.2428i | 0.666490 | + | 0.745514i | ||||
\(973\) | −27.6643 | − | 51.7563i | −0.886878 | − | 1.65923i | ||||
\(974\) | 21.2881 | − | 40.8735i | 0.682116 | − | 1.30967i | ||||
\(975\) | −10.1414 | + | 4.25036i | −0.324784 | + | 0.136120i | ||||
\(976\) | 16.7648 | − | 9.90583i | 0.536629 | − | 0.317078i | ||||
\(977\) | 8.29689 | + | 20.0305i | 0.265441 | + | 0.640832i | 0.999258 | − | 0.0385158i | \(-0.0122630\pi\) |
−0.733817 | + | 0.679347i | \(0.762263\pi\) | |||||||
\(978\) | 32.3220 | + | 38.2110i | 1.03354 | + | 1.22185i | ||||
\(979\) | −68.5355 | − | 20.7900i | −2.19040 | − | 0.664452i | ||||
\(980\) | 28.6527 | − | 3.44264i | 0.915277 | − | 0.109971i | ||||
\(981\) | −1.12301 | + | 12.4681i | −0.0358550 | + | 0.398074i | ||||
\(982\) | −8.27965 | − | 19.3990i | −0.264214 | − | 0.619048i | ||||
\(983\) | 3.34083 | − | 4.99991i | 0.106556 | − | 0.159472i | −0.774359 | − | 0.632746i | \(-0.781928\pi\) |
0.880916 | + | 0.473273i | \(0.156928\pi\) | |||||||
\(984\) | 1.65768 | + | 6.99693i | 0.0528451 | + | 0.223054i | ||||
\(985\) | 11.4722 | − | 7.66551i | 0.365536 | − | 0.244243i | ||||
\(986\) | 49.9197 | − | 10.4862i | 1.58977 | − | 0.333949i | ||||
\(987\) | −7.90740 | + | 14.9434i | −0.251695 | + | 0.475653i | ||||
\(988\) | −13.4225 | − | 5.22612i | −0.427027 | − | 0.166265i | ||||
\(989\) | −11.9386 | + | 14.5472i | −0.379626 | + | 0.462575i | ||||
\(990\) | 12.6063 | + | 9.95000i | 0.400653 | + | 0.316232i | ||||
\(991\) | −20.8316 | − | 20.8316i | −0.661737 | − | 0.661737i | 0.294052 | − | 0.955789i | \(-0.404996\pi\) |
−0.955789 | + | 0.294052i | \(0.904996\pi\) | |||||||
\(992\) | −13.7567 | + | 2.10279i | −0.436776 | + | 0.0667637i | ||||
\(993\) | 0.00897267 | + | 2.15016i | 0.000284739 | + | 0.0682332i | ||||
\(994\) | 5.14419 | − | 0.562303i | 0.163164 | − | 0.0178352i | ||||
\(995\) | 0.253043 | − | 0.308334i | 0.00802200 | − | 0.00977484i | ||||
\(996\) | 10.0011 | − | 0.255842i | 0.316897 | − | 0.00810666i | ||||
\(997\) | 16.5411 | − | 5.01767i | 0.523860 | − | 0.158911i | −0.0172686 | − | 0.999851i | \(-0.505497\pi\) |
0.541129 | + | 0.840940i | \(0.317997\pi\) | |||||||
\(998\) | −27.4895 | − | 17.9454i | −0.870165 | − | 0.568051i | ||||
\(999\) | −5.88533 | + | 31.6535i | −0.186204 | + | 1.00147i |
(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 | 384.2.w.a.11.10 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.11.53 | yes | 992 | |
128.35 | odd | 32 | inner | 384.2.w.a.35.53 | yes | 992 | |
384.35 | even | 32 | inner | 384.2.w.a.35.10 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.10 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.11.53 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.35.10 | yes | 992 | 384.35 | even | 32 | inner | |
384.2.w.a.35.53 | yes | 992 | 128.35 | odd | 32 | inner |