Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.12 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 1.93237 | − | 1.12513i | 0.864184 | − | 0.503175i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | −0.968092 | + | 1.77293i | −0.365904 | + | 0.670104i | −0.994162 | − | 0.107902i | \(-0.965587\pi\) |
0.628257 | + | 0.778006i | \(0.283769\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | 1.84719 | − | 1.26012i | 0.584131 | − | 0.398486i | ||||
\(11\) | 0.321659 | − | 0.278719i | 0.0969838 | − | 0.0840369i | −0.605019 | − | 0.796211i | \(-0.706835\pi\) |
0.702003 | + | 0.712174i | \(0.252289\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | 4.67392 | − | 2.55215i | 1.29631 | − | 0.707840i | 0.325015 | − | 0.945709i | \(-0.394630\pi\) |
0.971297 | + | 0.237868i | \(0.0764487\pi\) | |||||||
\(14\) | −0.839146 | + | 1.83747i | −0.224271 | + | 0.491086i | ||||
\(15\) | −0.688666 | − | 2.12738i | −0.177813 | − | 0.549287i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −0.744916 | − | 0.995091i | −0.180669 | − | 0.241345i | 0.701060 | − | 0.713103i | \(-0.252711\pi\) |
−0.881728 | + | 0.471758i | \(0.843620\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | −0.0697719 | − | 0.485274i | −0.0160068 | − | 0.111330i | 0.980252 | − | 0.197754i | \(-0.0633649\pi\) |
−0.996258 | + | 0.0864248i | \(0.972456\pi\) | |||||||
\(20\) | 1.75258 | − | 1.38869i | 0.391889 | − | 0.310520i | ||||
\(21\) | 1.52663 | + | 1.32283i | 0.333138 | + | 0.288665i | ||||
\(22\) | 0.300956 | − | 0.300956i | 0.0641640 | − | 0.0641640i | ||||
\(23\) | −1.55878 | + | 4.53544i | −0.325029 | + | 0.945704i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 2.46814 | − | 4.34836i | 0.493629 | − | 0.869673i | ||||
\(26\) | 4.47995 | − | 2.87909i | 0.878590 | − | 0.564635i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | −0.705924 | + | 1.89266i | −0.133407 | + | 0.357679i | ||||
\(29\) | −0.244429 | − | 0.0351436i | −0.0453893 | − | 0.00652599i | 0.119583 | − | 0.992824i | \(-0.461844\pi\) |
−0.164972 | + | 0.986298i | \(0.552753\pi\) | |||||||
\(30\) | −0.838677 | − | 2.07283i | −0.153121 | − | 0.378445i | ||||
\(31\) | −1.06130 | − | 0.682055i | −0.190615 | − | 0.122501i | 0.441853 | − | 0.897088i | \(-0.354321\pi\) |
−0.632467 | + | 0.774587i | \(0.717958\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −0.203976 | − | 0.373554i | −0.0355076 | − | 0.0650274i | ||||
\(34\) | −0.814007 | − | 0.939414i | −0.139601 | − | 0.161108i | ||||
\(35\) | 0.124066 | + | 4.51520i | 0.0209710 | + | 0.763208i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −0.587159 | − | 1.57423i | −0.0965284 | − | 0.258803i | 0.879707 | − | 0.475517i | \(-0.157739\pi\) |
−0.976235 | + | 0.216714i | \(0.930466\pi\) | |||||||
\(38\) | −0.104213 | − | 0.479060i | −0.0169056 | − | 0.0777139i | ||||
\(39\) | −1.50032 | − | 5.10961i | −0.240243 | − | 0.818192i | ||||
\(40\) | 1.64905 | − | 1.51018i | 0.260738 | − | 0.238780i | ||||
\(41\) | −0.149201 | − | 0.326705i | −0.0233013 | − | 0.0510228i | 0.897624 | − | 0.440763i | \(-0.145292\pi\) |
−0.920925 | + | 0.389740i | \(0.872565\pi\) | |||||||
\(42\) | 1.61711 | + | 1.21055i | 0.249525 | + | 0.186792i | ||||
\(43\) | −2.91534 | − | 0.634194i | −0.444586 | − | 0.0967137i | −0.0153011 | − | 0.999883i | \(-0.504871\pi\) |
−0.429285 | + | 0.903169i | \(0.641234\pi\) | |||||||
\(44\) | 0.278719 | − | 0.321659i | 0.0420185 | − | 0.0484919i | ||||
\(45\) | −2.22515 | + | 0.220721i | −0.331705 | + | 0.0329031i | ||||
\(46\) | −1.23126 | + | 4.63508i | −0.181539 | + | 0.683406i | ||||
\(47\) | −0.514682 | − | 0.514682i | −0.0750740 | − | 0.0750740i | 0.668573 | − | 0.743647i | \(-0.266906\pi\) |
−0.743647 | + | 0.668573i | \(0.766906\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | 1.57841 | + | 2.45606i | 0.225487 | + | 0.350865i | ||||
\(50\) | 2.15165 | − | 4.51336i | 0.304289 | − | 0.638285i | ||||
\(51\) | −1.13069 | + | 0.516371i | −0.158329 | + | 0.0723063i | ||||
\(52\) | 4.26314 | − | 3.19135i | 0.591191 | − | 0.442560i | ||||
\(53\) | −11.4864 | − | 6.27207i | −1.57778 | − | 0.861536i | −0.998937 | − | 0.0460999i | \(-0.985321\pi\) |
−0.578848 | − | 0.815436i | \(-0.696497\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | 0.307969 | − | 0.900499i | 0.0415265 | − | 0.121423i | ||||
\(56\) | −0.569105 | + | 1.93819i | −0.0760499 | + | 0.259002i | ||||
\(57\) | −0.489015 | − | 0.0349751i | −0.0647717 | − | 0.00463256i | ||||
\(58\) | −0.246313 | − | 0.0176167i | −0.0323425 | − | 0.00231318i | ||||
\(59\) | −2.87477 | + | 9.79058i | −0.374263 | + | 1.27462i | 0.530127 | + | 0.847918i | \(0.322144\pi\) |
−0.904390 | + | 0.426706i | \(0.859674\pi\) | |||||||
\(60\) | −0.984414 | − | 2.00772i | −0.127087 | − | 0.259195i | ||||
\(61\) | −7.18877 | + | 11.1859i | −0.920427 | + | 1.43221i | −0.0187394 | + | 0.999824i | \(0.505965\pi\) |
−0.901688 | + | 0.432388i | \(0.857671\pi\) | |||||||
\(62\) | −1.10725 | − | 0.604605i | −0.140621 | − | 0.0767849i | ||||
\(63\) | 1.61711 | − | 1.21055i | 0.203737 | − | 0.152515i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 6.16025 | − | 10.1905i | 0.764085 | − | 1.26398i | ||||
\(66\) | −0.230105 | − | 0.358051i | −0.0283240 | − | 0.0440730i | ||||
\(67\) | 0.459759 | + | 6.42827i | 0.0561685 | + | 0.785338i | 0.944993 | + | 0.327091i | \(0.106068\pi\) |
−0.888824 | + | 0.458248i | \(0.848477\pi\) | |||||||
\(68\) | −0.878950 | − | 0.878950i | −0.106588 | − | 0.106588i | ||||
\(69\) | 4.10045 | + | 2.48724i | 0.493636 | + | 0.299428i | ||||
\(70\) | 0.445861 | + | 4.49484i | 0.0532905 | + | 0.537236i | ||||
\(71\) | 6.34548 | − | 7.32307i | 0.753070 | − | 0.869089i | −0.241792 | − | 0.970328i | \(-0.577735\pi\) |
0.994862 | + | 0.101239i | \(0.0322808\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | 5.32346 | + | 3.98509i | 0.623064 | + | 0.466420i | 0.863571 | − | 0.504228i | \(-0.168223\pi\) |
−0.240507 | + | 0.970647i | \(0.577314\pi\) | |||||||
\(74\) | −0.697968 | − | 1.52834i | −0.0811371 | − | 0.177665i | ||||
\(75\) | −3.72435 | − | 3.33605i | −0.430051 | − | 0.385214i | ||||
\(76\) | −0.138123 | − | 0.470405i | −0.0158439 | − | 0.0539592i | ||||
\(77\) | 0.182753 | + | 0.840104i | 0.0208267 | + | 0.0957387i | ||||
\(78\) | −1.86101 | − | 4.98956i | −0.210718 | − | 0.564956i | ||||
\(79\) | 12.0678 | + | 3.54343i | 1.35774 | + | 0.398668i | 0.877965 | − | 0.478726i | \(-0.158901\pi\) |
0.479772 | + | 0.877393i | \(0.340719\pi\) | |||||||
\(80\) | 1.53711 | − | 1.62397i | 0.171854 | − | 0.181566i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −0.172128 | − | 0.315229i | −0.0190084 | − | 0.0348112i | ||||
\(83\) | −8.26343 | + | 3.08210i | −0.907030 | + | 0.338305i | −0.759313 | − | 0.650725i | \(-0.774465\pi\) |
−0.147716 | + | 0.989030i | \(0.547192\pi\) | |||||||
\(84\) | 1.69935 | + | 1.09210i | 0.185414 | + | 0.119158i | ||||
\(85\) | −2.55907 | − | 1.08476i | −0.277570 | − | 0.117659i | ||||
\(86\) | −2.95316 | − | 0.424600i | −0.318447 | − | 0.0457858i | ||||
\(87\) | −0.0862975 | + | 0.231373i | −0.00925206 | + | 0.0248057i | ||||
\(88\) | 0.255062 | − | 0.340723i | 0.0271897 | − | 0.0363212i | ||||
\(89\) | 12.7191 | − | 8.17409i | 1.34823 | − | 0.866452i | 0.350682 | − | 0.936495i | \(-0.385950\pi\) |
0.997544 | + | 0.0700423i | \(0.0223134\pi\) | |||||||
\(90\) | −2.20373 | + | 0.378899i | −0.232294 | + | 0.0399394i | ||||
\(91\) | 10.7573i | 1.12767i | ||||||||
\(92\) | −0.897457 | + | 4.71111i | −0.0935664 | + | 0.491167i | ||||
\(93\) | −0.892063 | + | 0.892063i | −0.0925026 | + | 0.0925026i | ||||
\(94\) | −0.550087 | − | 0.476653i | −0.0567372 | − | 0.0491630i | ||||
\(95\) | −0.680824 | − | 0.859229i | −0.0698511 | − | 0.0881550i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | 3.50298 | + | 1.30655i | 0.355674 | + | 0.132660i | 0.520949 | − | 0.853588i | \(-0.325578\pi\) |
−0.165274 | + | 0.986248i | \(0.552851\pi\) | |||||||
\(98\) | 1.74960 | + | 2.33720i | 0.176737 | + | 0.236093i | ||||
\(99\) | −0.408375 | + | 0.119910i | −0.0410433 | + | 0.0120514i | ||||
\(100\) | 1.82419 | − | 4.65536i | 0.182419 | − | 0.465536i | ||||
\(101\) | −1.24216 | + | 2.71995i | −0.123600 | + | 0.270645i | −0.961310 | − | 0.275470i | \(-0.911167\pi\) |
0.837710 | + | 0.546115i | \(0.183894\pi\) | |||||||
\(102\) | −1.09098 | + | 0.595718i | −0.108023 | + | 0.0589848i | ||||
\(103\) | −0.711413 | + | 9.94685i | −0.0700976 | + | 0.980092i | 0.833724 | + | 0.552182i | \(0.186205\pi\) |
−0.903821 | + | 0.427910i | \(0.859250\pi\) | |||||||
\(104\) | 4.02461 | − | 3.48734i | 0.394645 | − | 0.341962i | ||||
\(105\) | 4.43838 | + | 0.838543i | 0.433142 | + | 0.0818334i | ||||
\(106\) | −11.9046 | − | 5.43666i | −1.15628 | − | 0.528055i | ||||
\(107\) | −5.60980 | + | 1.22034i | −0.542320 | + | 0.117974i | −0.475377 | − | 0.879782i | \(-0.657688\pi\) |
−0.0669430 | + | 0.997757i | \(0.521325\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | 0.454044 | − | 3.15794i | 0.0434895 | − | 0.302476i | −0.956454 | − | 0.291882i | \(-0.905719\pi\) |
0.999944 | − | 0.0105943i | \(-0.00337234\pi\) | |||||||
\(110\) | 0.242944 | − | 0.920175i | 0.0231638 | − | 0.0877352i | ||||
\(111\) | −1.66307 | + | 0.239113i | −0.157851 | + | 0.0226956i | ||||
\(112\) | −0.429386 | + | 1.97386i | −0.0405732 | + | 0.186512i | ||||
\(113\) | −11.0438 | + | 0.789865i | −1.03891 | + | 0.0743043i | −0.580356 | − | 0.814363i | \(-0.697087\pi\) |
−0.458553 | + | 0.888667i | \(0.651632\pi\) | |||||||
\(114\) | −0.490265 | −0.0459175 | ||||||||
\(115\) | 2.09082 | + | 10.5180i | 0.194970 | + | 0.980809i | ||||
\(116\) | −0.246942 | −0.0229280 | ||||||||
\(117\) | −5.31175 | + | 0.379904i | −0.491072 | + | 0.0351221i | ||||
\(118\) | −2.16900 | + | 9.97071i | −0.199672 | + | 0.917879i | ||||
\(119\) | 2.48537 | − | 0.357343i | 0.227834 | − | 0.0327576i | ||||
\(120\) | −1.12513 | − | 1.93237i | −0.102710 | − | 0.176401i | ||||
\(121\) | −1.53968 | + | 10.7087i | −0.139971 | + | 0.973521i | ||||
\(122\) | −6.37245 | + | 11.6703i | −0.576935 | + | 1.05658i | ||||
\(123\) | −0.350954 | + | 0.0763454i | −0.0316445 | + | 0.00688384i | ||||
\(124\) | −1.14756 | − | 0.524074i | −0.103054 | − | 0.0470632i | ||||
\(125\) | −0.123114 | − | 11.1797i | −0.0110116 | − | 0.999939i | ||||
\(126\) | 1.52663 | − | 1.32283i | 0.136003 | − | 0.117847i | ||||
\(127\) | 0.00850050 | − | 0.118852i | 0.000754297 | − | 0.0105465i | −0.997061 | − | 0.0766114i | \(-0.975590\pi\) |
0.997815 | + | 0.0660650i | \(0.0210445\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | −1.23940 | + | 2.71391i | −0.109123 | + | 0.238947i | ||||
\(130\) | 5.41757 | − | 10.6040i | 0.475153 | − | 0.930034i | ||||
\(131\) | −6.95705 | + | 2.04277i | −0.607840 | + | 0.178478i | −0.571146 | − | 0.820848i | \(-0.693501\pi\) |
−0.0366944 | + | 0.999327i | \(0.511683\pi\) | |||||||
\(132\) | −0.255062 | − | 0.340723i | −0.0222003 | − | 0.0296561i | ||||
\(133\) | 0.927903 | + | 0.346090i | 0.0804594 | + | 0.0300098i | ||||
\(134\) | 0.917175 | + | 6.37909i | 0.0792319 | + | 0.551070i | ||||
\(135\) | −0.257312 | + | 2.22121i | −0.0221459 | + | 0.191172i | ||||
\(136\) | −0.939414 | − | 0.814007i | −0.0805541 | − | 0.0698005i | ||||
\(137\) | −14.6440 | + | 14.6440i | −1.25112 | + | 1.25112i | −0.295905 | + | 0.955217i | \(0.595621\pi\) |
−0.955217 | + | 0.295905i | \(0.904379\pi\) | |||||||
\(138\) | 4.26744 | + | 2.18838i | 0.363268 | + | 0.186287i | ||||
\(139\) | 2.99155i | 0.253740i | 0.991919 | + | 0.126870i | \(0.0404932\pi\) | ||||
−0.991919 | + | 0.126870i | \(0.959507\pi\) | |||||||
\(140\) | 0.765383 | + | 4.45158i | 0.0646867 | + | 0.376227i | ||||
\(141\) | −0.612323 | + | 0.393516i | −0.0515669 | + | 0.0331400i | ||||
\(142\) | 5.80689 | − | 7.75709i | 0.487303 | − | 0.650961i | ||||
\(143\) | 0.792075 | − | 2.12363i | 0.0662366 | − | 0.177587i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | −0.511869 | + | 0.207105i | −0.0425084 | + | 0.0171991i | ||||
\(146\) | 5.59419 | + | 3.59517i | 0.462978 | + | 0.297538i | ||||
\(147\) | 2.73544 | − | 1.02027i | 0.225616 | − | 0.0841503i | ||||
\(148\) | −0.805220 | − | 1.47465i | −0.0661886 | − | 0.121215i | ||||
\(149\) | −3.00356 | − | 3.46629i | −0.246061 | − | 0.283970i | 0.619262 | − | 0.785185i | \(-0.287432\pi\) |
−0.865323 | + | 0.501215i | \(0.832887\pi\) | |||||||
\(150\) | −3.95285 | − | 3.06186i | −0.322749 | − | 0.250000i | ||||
\(151\) | −15.3577 | − | 4.50943i | −1.24979 | − | 0.366972i | −0.411106 | − | 0.911587i | \(-0.634857\pi\) |
−0.838686 | + | 0.544615i | \(0.816676\pi\) | |||||||
\(152\) | −0.171330 | − | 0.459353i | −0.0138967 | − | 0.0372585i | ||||
\(153\) | 0.264224 | + | 1.21462i | 0.0213612 | + | 0.0981959i | ||||
\(154\) | 0.242220 | + | 0.824926i | 0.0195187 | + | 0.0664744i | ||||
\(155\) | −2.81823 | − | 0.123882i | −0.226366 | − | 0.00995048i | ||||
\(156\) | −2.21222 | − | 4.84408i | −0.177119 | − | 0.387837i | ||||
\(157\) | −7.06033 | − | 5.28529i | −0.563475 | − | 0.421812i | 0.279201 | − | 0.960233i | \(-0.409930\pi\) |
−0.842676 | + | 0.538420i | \(0.819021\pi\) | |||||||
\(158\) | 12.2899 | + | 2.67350i | 0.977729 | + | 0.212692i | ||||
\(159\) | −8.57036 | + | 9.89072i | −0.679673 | + | 0.784385i | ||||
\(160\) | 1.41734 | − | 1.72949i | 0.112051 | − | 0.136728i | ||||
\(161\) | −6.53196 | − | 7.15433i | −0.514791 | − | 0.563840i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −0.0367262 | − | 0.513499i | −0.00287662 | − | 0.0402204i | 0.995811 | − | 0.0914349i | \(-0.0291453\pi\) |
−0.998688 | + | 0.0512145i | \(0.983691\pi\) | |||||||
\(164\) | −0.194178 | − | 0.302147i | −0.0151627 | − | 0.0235937i | ||||
\(165\) | −0.814456 | − | 0.492346i | −0.0634053 | − | 0.0383291i | ||||
\(166\) | −8.02250 | + | 3.66376i | −0.622667 | + | 0.284363i | ||||
\(167\) | −10.5262 | + | 7.87983i | −0.814544 | + | 0.609760i | −0.923200 | − | 0.384320i | \(-0.874436\pi\) |
0.108656 | + | 0.994079i | \(0.465345\pi\) | |||||||
\(168\) | 1.77293 | + | 0.968092i | 0.136784 | + | 0.0746899i | ||||
\(169\) | 8.30373 | − | 12.9209i | 0.638748 | − | 0.993912i | ||||
\(170\) | −2.62993 | − | 0.899433i | −0.201707 | − | 0.0689834i | ||||
\(171\) | −0.138123 | + | 0.470405i | −0.0105626 | + | 0.0359728i | ||||
\(172\) | −2.97593 | − | 0.212842i | −0.226912 | − | 0.0162291i | ||||
\(173\) | −5.22546 | − | 0.373732i | −0.397284 | − | 0.0284143i | −0.128732 | − | 0.991679i | \(-0.541091\pi\) |
−0.268552 | + | 0.963265i | \(0.586545\pi\) | |||||||
\(174\) | −0.0695717 | + | 0.236939i | −0.00527422 | + | 0.0179623i | ||||
\(175\) | 5.31995 | + | 8.58546i | 0.402150 | + | 0.649000i | ||||
\(176\) | 0.230105 | − | 0.358051i | 0.0173448 | − | 0.0269891i | ||||
\(177\) | 8.95575 | + | 4.89021i | 0.673156 | + | 0.367571i | ||||
\(178\) | 12.1036 | − | 9.06064i | 0.907203 | − | 0.679124i | ||||
\(179\) | 20.2096 | − | 9.22942i | 1.51054 | − | 0.689839i | 0.523751 | − | 0.851871i | \(-0.324532\pi\) |
0.986785 | + | 0.162032i | \(0.0518049\pi\) | |||||||
\(180\) | −2.17109 | + | 0.535146i | −0.161823 | + | 0.0398874i | ||||
\(181\) | 9.41541 | + | 14.6507i | 0.699842 | + | 1.08897i | 0.991202 | + | 0.132361i | \(0.0422559\pi\) |
−0.291360 | + | 0.956613i | \(0.594108\pi\) | |||||||
\(182\) | 0.767414 | + | 10.7298i | 0.0568845 | + | 0.795349i | ||||
\(183\) | 9.40222 | + | 9.40222i | 0.695032 | + | 0.695032i | ||||
\(184\) | −0.559083 | + | 4.76313i | −0.0412162 | + | 0.351143i | ||||
\(185\) | −2.90584 | − | 2.38138i | −0.213641 | − | 0.175082i | ||||
\(186\) | −0.826151 | + | 0.953429i | −0.0605763 | + | 0.0699088i | ||||
\(187\) | −0.516960 | − | 0.112458i | −0.0378038 | − | 0.00822372i | ||||
\(188\) | −0.582690 | − | 0.436196i | −0.0424970 | − | 0.0318129i | ||||
\(189\) | −0.839146 | − | 1.83747i | −0.0610389 | − | 0.133657i | ||||
\(190\) | −0.740387 | − | 0.808470i | −0.0537133 | − | 0.0586526i | ||||
\(191\) | 0.628879 | + | 2.14177i | 0.0455041 | + | 0.154973i | 0.979111 | − | 0.203326i | \(-0.0651751\pi\) |
−0.933607 | + | 0.358299i | \(0.883357\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | −4.34530 | − | 11.6502i | −0.312781 | − | 0.838599i | −0.994282 | − | 0.106782i | \(-0.965945\pi\) |
0.681501 | − | 0.731817i | \(-0.261327\pi\) | |||||||
\(194\) | 3.58727 | + | 1.05332i | 0.257551 | + | 0.0756237i | ||||
\(195\) | −8.64817 | − | 8.18562i | −0.619308 | − | 0.586184i | ||||
\(196\) | 1.91188 | + | 2.20643i | 0.136563 | + | 0.157602i | ||||
\(197\) | −6.73334 | − | 12.3312i | −0.479730 | − | 0.878561i | −0.999703 | − | 0.0243776i | \(-0.992240\pi\) |
0.519972 | − | 0.854183i | \(-0.325942\pi\) | |||||||
\(198\) | −0.398780 | + | 0.148737i | −0.0283401 | + | 0.0105703i | ||||
\(199\) | 11.0213 | + | 7.08299i | 0.781282 | + | 0.502100i | 0.869459 | − | 0.494005i | \(-0.164468\pi\) |
−0.0881767 | + | 0.996105i | \(0.528104\pi\) | |||||||
\(200\) | 1.48743 | − | 4.77363i | 0.105177 | − | 0.337547i | ||||
\(201\) | 6.37909 | + | 0.917175i | 0.449947 | + | 0.0646926i | ||||
\(202\) | −1.04496 | + | 2.80164i | −0.0735229 | + | 0.197122i | ||||
\(203\) | 0.298937 | − | 0.399333i | 0.0209812 | − | 0.0280277i | ||||
\(204\) | −1.04570 | + | 0.672029i | −0.0732135 | + | 0.0470515i | ||||
\(205\) | −0.655901 | − | 0.463446i | −0.0458101 | − | 0.0323685i | ||||
\(206\) | 9.97226i | 0.694800i | ||||||||
\(207\) | 3.30201 | − | 3.47804i | 0.229505 | − | 0.241740i | ||||
\(208\) | 3.76557 | − | 3.76557i | 0.261095 | − | 0.261095i | ||||
\(209\) | −0.157698 | − | 0.136646i | −0.0109082 | − | 0.00945200i | ||||
\(210\) | 4.48690 | + | 0.519776i | 0.309625 | + | 0.0358680i | ||||
\(211\) | 2.44962 | + | 17.0375i | 0.168639 | + | 1.17291i | 0.881702 | + | 0.471808i | \(0.156398\pi\) |
−0.713063 | + | 0.701100i | \(0.752693\pi\) | |||||||
\(212\) | −12.2621 | − | 4.57354i | −0.842167 | − | 0.314112i | ||||
\(213\) | −5.80689 | − | 7.75709i | −0.397881 | − | 0.531507i | ||||
\(214\) | −5.50845 | + | 1.61743i | −0.376550 | + | 0.110565i | ||||
\(215\) | −6.34709 | + | 2.05465i | −0.432868 | + | 0.140126i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 2.23667 | − | 1.22131i | 0.151835 | − | 0.0829082i | ||||
\(218\) | 0.227602 | − | 3.18229i | 0.0154151 | − | 0.215532i | ||||
\(219\) | 5.02560 | − | 4.35471i | 0.339599 | − | 0.294264i | ||||
\(220\) | 0.176680 | − | 0.935162i | 0.0119118 | − | 0.0630486i | ||||
\(221\) | −6.02131 | − | 2.74984i | −0.405037 | − | 0.184974i | ||||
\(222\) | −1.64177 | + | 0.357146i | −0.110189 | + | 0.0239701i | ||||
\(223\) | 9.34418 | − | 17.1126i | 0.625732 | − | 1.14594i | −0.351983 | − | 0.936007i | \(-0.614492\pi\) |
0.977715 | − | 0.209937i | \(-0.0673258\pi\) | |||||||
\(224\) | −0.287479 | + | 1.99946i | −0.0192080 | + | 0.133594i | ||||
\(225\) | −4.05148 | + | 2.93011i | −0.270099 | + | 0.195340i | ||||
\(226\) | −10.9593 | + | 1.57571i | −0.729000 | + | 0.104814i | ||||
\(227\) | 1.06268 | − | 4.88507i | 0.0705327 | − | 0.324234i | −0.928338 | − | 0.371736i | \(-0.878763\pi\) |
0.998871 | + | 0.0475026i | \(0.0151262\pi\) | |||||||
\(228\) | −0.489015 | + | 0.0349751i | −0.0323858 | + | 0.00231628i | ||||
\(229\) | 6.18889 | 0.408973 | 0.204487 | − | 0.978869i | \(-0.434447\pi\) | ||||
0.204487 | + | 0.978869i | \(0.434447\pi\) | |||||||
\(230\) | 2.83584 | + | 10.3420i | 0.186990 | + | 0.681935i | ||||
\(231\) | 0.859752 | 0.0565675 | ||||||||
\(232\) | −0.246313 | + | 0.0176167i | −0.0161712 | + | 0.00115659i | ||||
\(233\) | 3.56179 | − | 16.3733i | 0.233341 | − | 1.07265i | −0.700135 | − | 0.714010i | \(-0.746877\pi\) |
0.933476 | − | 0.358640i | \(-0.116759\pi\) | |||||||
\(234\) | −5.27112 | + | 0.757872i | −0.344584 | + | 0.0495437i | ||||
\(235\) | −1.57364 | − | 0.415472i | −0.102653 | − | 0.0271024i | ||||
\(236\) | −1.45217 | + | 10.1000i | −0.0945280 | + | 0.657457i | ||||
\(237\) | 6.02766 | − | 11.0388i | 0.391538 | − | 0.717049i | ||||
\(238\) | 2.45355 | − | 0.533737i | 0.159040 | − | 0.0345970i | ||||
\(239\) | 20.1973 | + | 9.22378i | 1.30645 | + | 0.596637i | 0.942321 | − | 0.334711i | \(-0.108639\pi\) |
0.364131 | + | 0.931348i | \(0.381366\pi\) | |||||||
\(240\) | −1.26012 | − | 1.84719i | −0.0813405 | − | 0.119235i | ||||
\(241\) | 5.42682 | − | 4.70237i | 0.349572 | − | 0.302906i | −0.462320 | − | 0.886713i | \(-0.652983\pi\) |
0.811893 | + | 0.583807i | \(0.198437\pi\) | |||||||
\(242\) | −0.771808 | + | 10.7913i | −0.0496137 | + | 0.693690i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | −5.52367 | + | 12.0951i | −0.353617 | + | 0.774313i | ||||
\(245\) | 5.81348 | + | 2.97010i | 0.371410 | + | 0.189753i | ||||
\(246\) | −0.344614 | + | 0.101188i | −0.0219718 | + | 0.00645149i | ||||
\(247\) | −1.56460 | − | 2.09007i | −0.0995534 | − | 0.132988i | ||||
\(248\) | −1.18203 | − | 0.440873i | −0.0750587 | − | 0.0279954i | ||||
\(249\) | 1.25515 | + | 8.72974i | 0.0795417 | + | 0.553225i | ||||
\(250\) | −0.920348 | − | 11.1424i | −0.0582079 | − | 0.704707i | ||||
\(251\) | −19.9335 | − | 17.2725i | −1.25819 | − | 1.09023i | −0.991991 | − | 0.126311i | \(-0.959686\pi\) |
−0.266201 | − | 0.963918i | \(-0.585768\pi\) | |||||||
\(252\) | 1.42837 | − | 1.42837i | 0.0899788 | − | 0.0899788i | ||||
\(253\) | 0.762716 | + | 1.89333i | 0.0479516 | + | 0.119032i | ||||
\(254\) | − | 0.119156i | − | 0.00747652i | ||||||
\(255\) | −1.60394 | + | 2.27000i | −0.100442 | + | 0.142153i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 16.0808 | − | 21.4815i | 1.00310 | − | 1.33998i | 0.0633920 | − | 0.997989i | \(-0.479808\pi\) |
0.939704 | − | 0.341990i | \(-0.111101\pi\) | |||||||
\(258\) | −1.04264 | + | 2.79542i | −0.0649117 | + | 0.174035i | ||||
\(259\) | 3.35943 | + | 0.483013i | 0.208745 | + | 0.0300130i | ||||
\(260\) | 4.64729 | − | 10.9635i | 0.288213 | − | 0.679926i | ||||
\(261\) | 0.207741 | + | 0.133507i | 0.0128589 | + | 0.00826388i | ||||
\(262\) | −6.79360 | + | 2.53388i | −0.419710 | + | 0.156544i | ||||
\(263\) | −9.98394 | − | 18.2842i | −0.615636 | − | 1.12745i | −0.980524 | − | 0.196401i | \(-0.937074\pi\) |
0.364888 | − | 0.931052i | \(-0.381107\pi\) | |||||||
\(264\) | −0.278719 | − | 0.321659i | −0.0171540 | − | 0.0197967i | ||||
\(265\) | −29.2530 | + | 0.803800i | −1.79700 | + | 0.0493770i | ||||
\(266\) | 0.950228 | + | 0.279012i | 0.0582622 | + | 0.0171073i | ||||
\(267\) | −5.28364 | − | 14.1660i | −0.323354 | − | 0.866945i | ||||
\(268\) | 1.36992 | + | 6.29741i | 0.0836810 | + | 0.384676i | ||||
\(269\) | −4.04189 | − | 13.7654i | −0.246438 | − | 0.839291i | −0.986077 | − | 0.166288i | \(-0.946822\pi\) |
0.739639 | − | 0.673004i | \(-0.234996\pi\) | |||||||
\(270\) | −0.0981972 | + | 2.23391i | −0.00597609 | + | 0.135951i | ||||
\(271\) | 4.92305 | + | 10.7800i | 0.299054 | + | 0.654836i | 0.998189 | − | 0.0601529i | \(-0.0191588\pi\) |
−0.699135 | + | 0.714989i | \(0.746432\pi\) | |||||||
\(272\) | −0.995091 | − | 0.744916i | −0.0603363 | − | 0.0451672i | ||||
\(273\) | 10.5114 | + | 2.28662i | 0.636180 | + | 0.138392i | ||||
\(274\) | −13.5620 | + | 15.6514i | −0.819311 | + | 0.945535i | ||||
\(275\) | −0.418071 | − | 2.08661i | −0.0252106 | − | 0.125827i | ||||
\(276\) | 4.41268 | + | 1.87837i | 0.265612 | + | 0.113064i | ||||
\(277\) | 17.9030 | + | 17.9030i | 1.07569 | + | 1.07569i | 0.996891 | + | 0.0787992i | \(0.0251086\pi\) |
0.0787992 | + | 0.996891i | \(0.474891\pi\) | |||||||
\(278\) | 0.213415 | + | 2.98393i | 0.0127998 | + | 0.178964i | ||||
\(279\) | 0.682055 | + | 1.06130i | 0.0408335 | + | 0.0635382i | ||||
\(280\) | 1.08101 | + | 4.38564i | 0.0646024 | + | 0.262092i | ||||
\(281\) | 15.0582 | − | 6.87683i | 0.898295 | − | 0.410238i | 0.0879053 | − | 0.996129i | \(-0.471983\pi\) |
0.810390 | + | 0.585891i | \(0.199255\pi\) | |||||||
\(282\) | −0.582690 | + | 0.436196i | −0.0346987 | + | 0.0259751i | ||||
\(283\) | −17.1865 | − | 9.38456i | −1.02163 | − | 0.557854i | −0.121100 | − | 0.992640i | \(-0.538642\pi\) |
−0.900534 | + | 0.434786i | \(0.856824\pi\) | |||||||
\(284\) | 5.23871 | − | 8.15159i | 0.310860 | − | 0.483708i | ||||
\(285\) | −0.984313 | + | 0.482623i | −0.0583057 | + | 0.0285881i | ||||
\(286\) | 0.638558 | − | 2.17473i | 0.0377587 | − | 0.128594i | ||||
\(287\) | 0.723666 | + | 0.0517576i | 0.0427167 | + | 0.00305516i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | 4.35415 | − | 14.8289i | 0.256126 | − | 0.872286i | ||||
\(290\) | −0.495790 | + | 0.243093i | −0.0291138 | + | 0.0142749i | ||||
\(291\) | 2.02130 | − | 3.14520i | 0.118491 | − | 0.184375i | ||||
\(292\) | 5.83641 | + | 3.18692i | 0.341550 | + | 0.186501i | ||||
\(293\) | 1.64811 | − | 1.23376i | 0.0962839 | − | 0.0720772i | −0.550051 | − | 0.835131i | \(-0.685392\pi\) |
0.646335 | + | 0.763054i | \(0.276301\pi\) | |||||||
\(294\) | 2.65569 | − | 1.21281i | 0.154883 | − | 0.0707327i | ||||
\(295\) | 5.46058 | + | 22.1536i | 0.317927 | + | 1.28983i | ||||
\(296\) | −0.908368 | − | 1.41345i | −0.0527978 | − | 0.0821550i | ||||
\(297\) | 0.0303631 | + | 0.424531i | 0.00176184 | + | 0.0246338i | ||||
\(298\) | −3.24319 | − | 3.24319i | −0.187873 | − | 0.187873i | ||||
\(299\) | 4.28951 | + | 25.1765i | 0.248069 | + | 1.45600i | ||||
\(300\) | −4.16121 | − | 2.77206i | −0.240247 | − | 0.160045i | ||||
\(301\) | 3.94670 | − | 4.55474i | 0.227484 | − | 0.262531i | ||||
\(302\) | −15.6403 | − | 3.40233i | −0.899997 | − | 0.195782i | ||||
\(303\) | 2.39375 | + | 1.79194i | 0.137517 | + | 0.102944i | ||||
\(304\) | −0.203663 | − | 0.445960i | −0.0116809 | − | 0.0255776i | ||||
\(305\) | −1.30570 | + | 29.7038i | −0.0747644 | + | 1.70083i | ||||
\(306\) | 0.350200 | + | 1.19267i | 0.0200196 | + | 0.0681805i | ||||
\(307\) | −4.37707 | − | 20.1211i | −0.249813 | − | 1.14837i | −0.915556 | − | 0.402190i | \(-0.868249\pi\) |
0.665744 | − | 0.746180i | \(-0.268114\pi\) | |||||||
\(308\) | 0.300452 | + | 0.805544i | 0.0171199 | + | 0.0459001i | ||||
\(309\) | 9.56831 | + | 2.80951i | 0.544322 | + | 0.159827i | ||||
\(310\) | −2.81989 | + | 0.0774833i | −0.160159 | + | 0.00440076i | ||||
\(311\) | −9.64472 | − | 11.1306i | −0.546902 | − | 0.631158i | 0.413257 | − | 0.910615i | \(-0.364391\pi\) |
−0.960158 | + | 0.279456i | \(0.909846\pi\) | |||||||
\(312\) | −2.55215 | − | 4.67392i | −0.144487 | − | 0.264609i | ||||
\(313\) | −6.65571 | + | 2.48245i | −0.376203 | + | 0.140316i | −0.530451 | − | 0.847716i | \(-0.677977\pi\) |
0.154248 | + | 0.988032i | \(0.450705\pi\) | |||||||
\(314\) | −7.41939 | − | 4.76815i | −0.418700 | − | 0.269082i | ||||
\(315\) | 1.76283 | − | 4.15871i | 0.0993240 | − | 0.234317i | ||||
\(316\) | 12.4493 | + | 1.78994i | 0.700327 | + | 0.100692i | ||||
\(317\) | −8.11970 | + | 21.7698i | −0.456048 | + | 1.22271i | 0.481989 | + | 0.876177i | \(0.339914\pi\) |
−0.938037 | + | 0.346535i | \(0.887358\pi\) | |||||||
\(318\) | −7.84292 | + | 10.4769i | −0.439809 | + | 0.587517i | ||||
\(319\) | −0.0884179 | + | 0.0568227i | −0.00495045 | + | 0.00318146i | ||||
\(320\) | 1.29035 | − | 1.82620i | 0.0721329 | − | 0.102087i | ||||
\(321\) | 5.74100i | 0.320431i | ||||||||
\(322\) | −7.02570 | − | 6.67012i | −0.391527 | − | 0.371711i | ||||
\(323\) | −0.430918 | + | 0.430918i | −0.0239769 | + | 0.0239769i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 0.438220 | − | 26.6230i | 0.0243081 | − | 1.47678i | ||||
\(326\) | −0.0732652 | − | 0.509571i | −0.00405778 | − | 0.0282225i | ||||
\(327\) | −2.98926 | − | 1.11494i | −0.165307 | − | 0.0616562i | ||||
\(328\) | −0.215238 | − | 0.287524i | −0.0118845 | − | 0.0158759i | ||||
\(329\) | 1.41075 | − | 0.414234i | 0.0777773 | − | 0.0228375i | ||||
\(330\) | −0.847505 | − | 0.432989i | −0.0466536 | − | 0.0238352i | ||||
\(331\) | 6.36854 | − | 13.9451i | 0.350046 | − | 0.766495i | −0.649932 | − | 0.759992i | \(-0.725203\pi\) |
0.999979 | − | 0.00650270i | \(-0.00206989\pi\) | |||||||
\(332\) | −7.74069 | + | 4.22674i | −0.424826 | + | 0.231972i | ||||
\(333\) | −0.119862 | + | 1.67589i | −0.00656839 | + | 0.0918381i | ||||
\(334\) | −9.93726 | + | 8.61069i | −0.543743 | + | 0.471156i | ||||
\(335\) | 8.12110 | + | 11.9045i | 0.443703 | + | 0.650414i | ||||
\(336\) | 1.83747 | + | 0.839146i | 0.100242 | + | 0.0457792i | ||||
\(337\) | 19.8139 | − | 4.31024i | 1.07933 | − | 0.234794i | 0.362459 | − | 0.932000i | \(-0.381937\pi\) |
0.716871 | + | 0.697206i | \(0.245574\pi\) | |||||||
\(338\) | 7.36081 | − | 13.4803i | 0.400375 | − | 0.733232i | ||||
\(339\) | −1.57571 | + | 10.9593i | −0.0855806 | + | 0.595226i | ||||
\(340\) | −2.68740 | − | 0.709524i | −0.145745 | − | 0.0384793i | ||||
\(341\) | −0.531477 | + | 0.0764149i | −0.0287811 | + | 0.00413810i | ||||
\(342\) | −0.104213 | + | 0.479060i | −0.00563521 | + | 0.0259046i | ||||
\(343\) | −19.9866 | + | 1.42947i | −1.07917 | + | 0.0771840i | ||||
\(344\) | −2.98353 | −0.160861 | ||||||||
\(345\) | 10.7221 | + | 0.192721i | 0.577257 | + | 0.0103757i | ||||
\(346\) | −5.23880 | −0.281640 | ||||||||
\(347\) | −9.05710 | + | 0.647777i | −0.486211 | + | 0.0347745i | −0.312293 | − | 0.949986i | \(-0.601097\pi\) |
−0.173917 | + | 0.984760i | \(0.555643\pi\) | |||||||
\(348\) | −0.0524914 | + | 0.241299i | −0.00281383 | + | 0.0129350i | ||||
\(349\) | −22.4242 | + | 3.22412i | −1.20034 | + | 0.172583i | −0.713340 | − | 0.700818i | \(-0.752818\pi\) |
−0.487001 | + | 0.873401i | \(0.661909\pi\) | |||||||
\(350\) | 5.91887 | + | 8.18407i | 0.316377 | + | 0.437457i | ||||
\(351\) | −0.757872 | + | 5.27112i | −0.0404522 | + | 0.281351i | ||||
\(352\) | 0.203976 | − | 0.373554i | 0.0108719 | − | 0.0199105i | ||||
\(353\) | 9.33679 | − | 2.03109i | 0.496947 | − | 0.108104i | 0.0428955 | − | 0.999080i | \(-0.486342\pi\) |
0.454052 | + | 0.890975i | \(0.349978\pi\) | |||||||
\(354\) | 9.28180 | + | 4.23886i | 0.493322 | + | 0.225293i | ||||
\(355\) | 4.02240 | − | 21.2904i | 0.213487 | − | 1.12998i | ||||
\(356\) | 11.4264 | − | 9.90102i | 0.605597 | − | 0.524753i | ||||
\(357\) | 0.179128 | − | 2.50453i | 0.00948045 | − | 0.132554i | ||||
\(358\) | 19.4997 | − | 10.6476i | 1.03059 | − | 0.562745i | ||||
\(359\) | −3.18130 | + | 6.96608i | −0.167903 | + | 0.367655i | −0.974815 | − | 0.223016i | \(-0.928410\pi\) |
0.806912 | + | 0.590671i | \(0.201137\pi\) | |||||||
\(360\) | −2.12738 | + | 0.688666i | −0.112123 | + | 0.0362959i | ||||
\(361\) | 17.9997 | − | 5.28520i | 0.947355 | − | 0.278169i | ||||
\(362\) | 10.4366 | + | 13.9416i | 0.548535 | + | 0.732756i | ||||
\(363\) | 10.1367 | + | 3.78080i | 0.532040 | + | 0.198441i | ||||
\(364\) | 1.53092 | + | 10.6478i | 0.0802418 | + | 0.558094i | ||||
\(365\) | 14.7707 | + | 1.71108i | 0.773133 | + | 0.0895622i | ||||
\(366\) | 10.0490 | + | 8.70752i | 0.525270 | + | 0.455149i | ||||
\(367\) | −5.48234 | + | 5.48234i | −0.286176 | + | 0.286176i | −0.835566 | − | 0.549390i | \(-0.814860\pi\) |
0.549390 | + | 0.835566i | \(0.314860\pi\) | |||||||
\(368\) | −0.217861 | + | 4.79088i | −0.0113568 | + | 0.249742i | ||||
\(369\) | 0.359162i | 0.0186972i | ||||||||
\(370\) | −3.06832 | − | 2.16801i | −0.159514 | − | 0.112709i | ||||
\(371\) | 22.2399 | − | 14.2927i | 1.15464 | − | 0.742040i | ||||
\(372\) | −0.756029 | + | 1.00994i | −0.0391983 | + | 0.0523628i | ||||
\(373\) | 6.69643 | − | 17.9538i | 0.346728 | − | 0.929614i | −0.640165 | − | 0.768238i | \(-0.721134\pi\) |
0.986893 | − | 0.161377i | \(-0.0515933\pi\) | |||||||
\(374\) | −0.523665 | − | 0.0752917i | −0.0270781 | − | 0.00389324i | ||||
\(375\) | −10.9503 | − | 2.25611i | −0.565473 | − | 0.116505i | ||||
\(376\) | −0.612323 | − | 0.393516i | −0.0315781 | − | 0.0202940i | ||||
\(377\) | −1.23213 | + | 0.459562i | −0.0634581 | + | 0.0236686i | ||||
\(378\) | −0.968092 | − | 1.77293i | −0.0497933 | − | 0.0911896i | ||||
\(379\) | 8.74731 | + | 10.0949i | 0.449319 | + | 0.518542i | 0.934544 | − | 0.355848i | \(-0.115808\pi\) |
−0.485225 | + | 0.874389i | \(0.661262\pi\) | |||||||
\(380\) | −0.796176 | − | 0.753592i | −0.0408430 | − | 0.0386585i | ||||
\(381\) | −0.114329 | − | 0.0335701i | −0.00585727 | − | 0.00171985i | ||||
\(382\) | 0.780069 | + | 2.09145i | 0.0399118 | + | 0.107008i | ||||
\(383\) | −0.187283 | − | 0.860928i | −0.00956974 | − | 0.0439914i | 0.972114 | − | 0.234507i | \(-0.0753476\pi\) |
−0.981684 | + | 0.190516i | \(0.938984\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 1.29838 | + | 1.41777i | 0.0661715 | + | 0.0722564i | ||||
\(386\) | −5.16534 | − | 11.3105i | −0.262909 | − | 0.575690i | ||||
\(387\) | 2.38844 | + | 1.78796i | 0.121411 | + | 0.0908872i | ||||
\(388\) | 3.65327 | + | 0.794720i | 0.185467 | + | 0.0403458i | ||||
\(389\) | −6.45123 | + | 7.44512i | −0.327090 | + | 0.377483i | −0.895347 | − | 0.445369i | \(-0.853073\pi\) |
0.568257 | + | 0.822851i | \(0.307618\pi\) | |||||||
\(390\) | −9.21009 | − | 7.54781i | −0.466371 | − | 0.382198i | ||||
\(391\) | 5.67434 | − | 1.82739i | 0.286964 | − | 0.0924150i | ||||
\(392\) | 2.06441 | + | 2.06441i | 0.104269 | + | 0.104269i | ||||
\(393\) | 0.517263 | + | 7.23228i | 0.0260925 | + | 0.364820i | ||||
\(394\) | −7.59588 | − | 11.8194i | −0.382675 | − | 0.595454i | ||||
\(395\) | 27.3064 | − | 6.73069i | 1.37393 | − | 0.338658i | ||||
\(396\) | −0.387154 | + | 0.176807i | −0.0194552 | + | 0.00888489i | ||||
\(397\) | 17.5490 | − | 13.1370i | 0.880760 | − | 0.659329i | −0.0600749 | − | 0.998194i | \(-0.519134\pi\) |
0.940835 | + | 0.338865i | \(0.110043\pi\) | |||||||
\(398\) | 11.4986 | + | 6.27869i | 0.576371 | + | 0.314722i | ||||
\(399\) | 0.535420 | − | 0.833130i | 0.0268045 | − | 0.0417087i | ||||
\(400\) | 1.14309 | − | 4.86758i | 0.0571546 | − | 0.243379i | ||||
\(401\) | 3.95538 | − | 13.4708i | 0.197522 | − | 0.672700i | −0.799846 | − | 0.600205i | \(-0.795086\pi\) |
0.997369 | − | 0.0724948i | \(-0.0230961\pi\) | |||||||
\(402\) | 6.42827 | + | 0.459759i | 0.320613 | + | 0.0229307i | ||||
\(403\) | −6.70113 | − | 0.479274i | −0.333807 | − | 0.0238744i | ||||
\(404\) | −0.842427 | + | 2.86904i | −0.0419123 | + | 0.142740i | ||||
\(405\) | 2.11576 | + | 0.723585i | 0.105133 | + | 0.0359552i | ||||
\(406\) | 0.269687 | − | 0.419641i | 0.0133843 | − | 0.0208264i | ||||
\(407\) | −0.627634 | − | 0.342714i | −0.0311107 | − | 0.0169877i | ||||
\(408\) | −0.995091 | + | 0.744916i | −0.0492644 | + | 0.0368788i | ||||
\(409\) | 15.1472 | − | 6.91749i | 0.748980 | − | 0.342048i | −0.00408695 | − | 0.999992i | \(-0.501301\pi\) |
0.753067 | + | 0.657944i | \(0.228574\pi\) | |||||||
\(410\) | −0.687291 | − | 0.415474i | −0.0339429 | − | 0.0205188i | ||||
\(411\) | 11.1965 | + | 17.4222i | 0.552285 | + | 0.859372i | ||||
\(412\) | 0.711413 | + | 9.94685i | 0.0350488 | + | 0.490046i | ||||
\(413\) | −14.5749 | − | 14.5749i | −0.717186 | − | 0.717186i | ||||
\(414\) | 3.04547 | − | 3.70474i | 0.149677 | − | 0.182078i | ||||
\(415\) | −12.5003 | + | 15.2532i | −0.613614 | + | 0.748753i | ||||
\(416\) | 3.48734 | − | 4.02461i | 0.170981 | − | 0.197323i | ||||
\(417\) | 2.92319 | + | 0.635901i | 0.143149 | + | 0.0311402i | ||||
\(418\) | −0.167044 | − | 0.125048i | −0.00817041 | − | 0.00611629i | ||||
\(419\) | 7.41032 | + | 16.2263i | 0.362018 | + | 0.792709i | 0.999748 | + | 0.0224487i | \(0.00714625\pi\) |
−0.637730 | + | 0.770260i | \(0.720126\pi\) | |||||||
\(420\) | 4.51254 | + | 0.198360i | 0.220190 | + | 0.00967899i | ||||
\(421\) | 3.09041 | + | 10.5250i | 0.150617 | + | 0.512956i | 0.999887 | − | 0.0150030i | \(-0.00477579\pi\) |
−0.849270 | + | 0.527959i | \(0.822958\pi\) | |||||||
\(422\) | 3.65882 | + | 16.8193i | 0.178108 | + | 0.818751i | ||||
\(423\) | 0.254364 | + | 0.681977i | 0.0123676 | + | 0.0331589i | ||||
\(424\) | −12.5572 | − | 3.68712i | −0.609830 | − | 0.179062i | ||||
\(425\) | −6.16558 | + | 0.783137i | −0.299075 | + | 0.0379877i | ||||
\(426\) | −6.34548 | − | 7.32307i | −0.307439 | − | 0.354804i | ||||
\(427\) | −12.8725 | − | 23.5742i | −0.622943 | − | 1.14083i | ||||
\(428\) | −5.37903 | + | 2.00627i | −0.260005 | + | 0.0969769i | ||||
\(429\) | −1.90673 | − | 1.22538i | −0.0920580 | − | 0.0591621i | ||||
\(430\) | −6.18434 | + | 2.50222i | −0.298236 | + | 0.120668i | ||||
\(431\) | −8.33097 | − | 1.19781i | −0.401289 | − | 0.0576966i | −0.0612840 | − | 0.998120i | \(-0.519520\pi\) |
−0.340005 | + | 0.940424i | \(0.610429\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | −8.84854 | + | 11.8203i | −0.425234 | + | 0.568046i | −0.961080 | − | 0.276270i | \(-0.910902\pi\) |
0.535846 | + | 0.844316i | \(0.319993\pi\) | |||||||
\(434\) | 2.14384 | − | 1.37776i | 0.102908 | − | 0.0661348i | ||||
\(435\) | 0.0935661 | + | 0.544195i | 0.00448615 | + | 0.0260921i | ||||
\(436\) | − | 3.19042i | − | 0.152793i | ||||||
\(437\) | 2.30969 | + | 0.439991i | 0.110488 | + | 0.0210476i | ||||
\(438\) | 4.70214 | − | 4.70214i | 0.224677 | − | 0.224677i | ||||
\(439\) | −30.5157 | − | 26.4420i | −1.45644 | − | 1.26201i | −0.903363 | − | 0.428876i | \(-0.858910\pi\) |
−0.553073 | − | 0.833133i | \(-0.686545\pi\) | |||||||
\(440\) | 0.109516 | − | 0.945383i | 0.00522098 | − | 0.0450694i | ||||
\(441\) | −0.415491 | − | 2.88980i | −0.0197853 | − | 0.137610i | ||||
\(442\) | −6.20214 | − | 2.31328i | −0.295006 | − | 0.110031i | ||||
\(443\) | −9.90121 | − | 13.2265i | −0.470421 | − | 0.628409i | 0.501092 | − | 0.865394i | \(-0.332932\pi\) |
−0.971513 | + | 0.236985i | \(0.923841\pi\) | |||||||
\(444\) | −1.61211 | + | 0.473358i | −0.0765074 | + | 0.0224646i | ||||
\(445\) | 15.3812 | − | 30.1062i | 0.729138 | − | 1.42717i | ||||
\(446\) | 8.09957 | − | 17.7356i | 0.383526 | − | 0.839804i | ||||
\(447\) | −4.02553 | + | 2.19811i | −0.190401 | + | 0.103967i | ||||
\(448\) | −0.144107 | + | 2.01487i | −0.00680839 | + | 0.0951938i | ||||
\(449\) | 14.8752 | − | 12.8895i | 0.702005 | − | 0.608291i | −0.228944 | − | 0.973440i | \(-0.573527\pi\) |
0.930949 | + | 0.365149i | \(0.118982\pi\) | |||||||
\(450\) | −3.83212 | + | 3.21167i | −0.180648 | + | 0.151400i | ||||
\(451\) | −0.139051 | − | 0.0635024i | −0.00654765 | − | 0.00299021i | ||||
\(452\) | −10.8189 | + | 2.35352i | −0.508880 | + | 0.110700i | ||||
\(453\) | −7.67089 | + | 14.0482i | −0.360410 | + | 0.660041i | ||||
\(454\) | 0.711478 | − | 4.94844i | 0.0333913 | − | 0.232242i | ||||
\(455\) | 12.1034 | + | 20.7870i | 0.567414 | + | 0.974512i | ||||
\(456\) | −0.485274 | + | 0.0697719i | −0.0227251 | + | 0.00326737i | ||||
\(457\) | 2.01070 | − | 9.24302i | 0.0940564 | − | 0.432370i | −0.905904 | − | 0.423483i | \(-0.860807\pi\) |
0.999961 | − | 0.00888741i | \(-0.00282899\pi\) | |||||||
\(458\) | 6.17312 | − | 0.441510i | 0.288451 | − | 0.0206304i | ||||
\(459\) | 1.24302 | 0.0580194 | ||||||||
\(460\) | 3.56641 | + | 10.1134i | 0.166285 | + | 0.471539i | ||||
\(461\) | 10.4710 | 0.487682 | 0.243841 | − | 0.969815i | \(-0.421592\pi\) | ||||
0.243841 | + | 0.969815i | \(0.421592\pi\) | |||||||
\(462\) | 0.857561 | − | 0.0613340i | 0.0398974 | − | 0.00285352i | ||||
\(463\) | 8.26699 | − | 38.0027i | 0.384200 | − | 1.76614i | −0.226238 | − | 0.974072i | \(-0.572643\pi\) |
0.610437 | − | 0.792065i | \(-0.290994\pi\) | |||||||
\(464\) | −0.244429 | + | 0.0351436i | −0.0113473 | + | 0.00163150i | ||||
\(465\) | −0.720109 | + | 2.72749i | −0.0333942 | + | 0.126484i | ||||
\(466\) | 2.38466 | − | 16.5857i | 0.110467 | − | 0.768316i | ||||
\(467\) | 15.0346 | − | 27.5338i | 0.695719 | − | 1.27411i | −0.255862 | − | 0.966713i | \(-0.582359\pi\) |
0.951580 | − | 0.307400i | \(-0.0994590\pi\) | |||||||
\(468\) | −5.20362 | + | 1.13198i | −0.240537 | + | 0.0523257i | ||||
\(469\) | −11.8420 | − | 5.40804i | −0.546811 | − | 0.249720i | ||||
\(470\) | −1.59927 | − | 0.302151i | −0.0737690 | − | 0.0139372i | ||||
\(471\) | −6.66529 | + | 5.77551i | −0.307120 | + | 0.266121i | ||||
\(472\) | −0.727938 | + | 10.1779i | −0.0335061 | + | 0.468476i | ||||
\(473\) | −1.11451 | + | 0.608568i | −0.0512451 | + | 0.0279820i | ||||
\(474\) | 5.22480 | − | 11.4407i | 0.239983 | − | 0.525489i | ||||
\(475\) | −2.28236 | − | 0.894334i | −0.104722 | − | 0.0410348i | ||||
\(476\) | 2.40922 | − | 0.707411i | 0.110426 | − | 0.0324241i | ||||
\(477\) | 7.84292 | + | 10.4769i | 0.359103 | + | 0.479705i | ||||
\(478\) | 20.8038 | + | 7.75942i | 0.951545 | + | 0.354908i | ||||
\(479\) | 3.20483 | + | 22.2901i | 0.146432 | + | 1.01846i | 0.921998 | + | 0.387194i | \(0.126555\pi\) |
−0.775566 | + | 0.631266i | \(0.782535\pi\) | |||||||
\(480\) | −1.38869 | − | 1.75258i | −0.0633846 | − | 0.0799941i | ||||
\(481\) | −6.76203 | − | 5.85933i | −0.308322 | − | 0.267162i | ||||
\(482\) | 5.07753 | − | 5.07753i | 0.231275 | − | 0.231275i | ||||
\(483\) | −8.37930 | + | 4.86192i | −0.381271 | + | 0.221225i | ||||
\(484\) | 10.8189i | 0.491766i | ||||||||
\(485\) | 8.23912 | − | 1.41659i | 0.374119 | − | 0.0643242i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −14.9638 | + | 19.9893i | −0.678076 | + | 0.905803i | −0.999149 | − | 0.0412514i | \(-0.986866\pi\) |
0.321073 | + | 0.947054i | \(0.395956\pi\) | |||||||
\(488\) | −4.64674 | + | 12.4584i | −0.210348 | + | 0.563965i | ||||
\(489\) | −0.509571 | − | 0.0732652i | −0.0230436 | − | 0.00331317i | ||||
\(490\) | 6.01055 | + | 2.54780i | 0.271529 | + | 0.115098i | ||||
\(491\) | 2.89265 | + | 1.85900i | 0.130544 | + | 0.0838953i | 0.604283 | − | 0.796770i | \(-0.293460\pi\) |
−0.473739 | + | 0.880665i | \(0.657096\pi\) | |||||||
\(492\) | −0.336517 | + | 0.125514i | −0.0151714 | + | 0.00565862i | ||||
\(493\) | 0.147108 | + | 0.269408i | 0.00662541 | + | 0.0121335i | ||||
\(494\) | −1.70972 | − | 1.97312i | −0.0769240 | − | 0.0887750i | ||||
\(495\) | −0.654219 | + | 0.691188i | −0.0294050 | + | 0.0310666i | ||||
\(496\) | −1.21046 | − | 0.355425i | −0.0543515 | − | 0.0159590i | ||||
\(497\) | 6.84028 | + | 18.3395i | 0.306828 | + | 0.822638i | ||||
\(498\) | 1.87472 | + | 8.61795i | 0.0840082 | + | 0.386180i | ||||
\(499\) | −7.65659 | − | 26.0759i | −0.342756 | − | 1.16732i | −0.932934 | − | 0.360047i | \(-0.882761\pi\) |
0.590178 | − | 0.807273i | \(-0.299057\pi\) | |||||||
\(500\) | −1.71289 | − | 11.0483i | −0.0766029 | − | 0.494097i | ||||
\(501\) | 5.46224 | + | 11.9606i | 0.244035 | + | 0.534362i | ||||
\(502\) | −21.1149 | − | 15.8064i | −0.942405 | − | 0.705475i | ||||
\(503\) | −1.65481 | − | 0.359981i | −0.0737842 | − | 0.0160508i | 0.175522 | − | 0.984476i | \(-0.443839\pi\) |
−0.249306 | + | 0.968425i | \(0.580202\pi\) | |||||||
\(504\) | 1.32283 | − | 1.52663i | 0.0589236 | − | 0.0680015i | ||||
\(505\) | 0.659992 | + | 6.65356i | 0.0293693 | + | 0.296080i | ||||
\(506\) | 0.895841 | + | 1.83409i | 0.0398250 | + | 0.0815353i | ||||
\(507\) | −10.8605 | − | 10.8605i | −0.482331 | − | 0.482331i | ||||
\(508\) | −0.00850050 | − | 0.118852i | −0.000377149 | − | 0.00527323i | ||||
\(509\) | −13.3412 | − | 20.7593i | −0.591339 | − | 0.920141i | −0.999972 | − | 0.00744261i | \(-0.997631\pi\) |
0.408633 | − | 0.912699i | \(-0.366005\pi\) | |||||||
\(510\) | −1.43791 | + | 2.37864i | −0.0636718 | + | 0.105328i | ||||
\(511\) | −12.2189 | + | 5.58018i | −0.540532 | + | 0.246853i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | 0.430295 | + | 0.234959i | 0.0189980 | + | 0.0103737i | ||||
\(514\) | 14.5074 | − | 22.5740i | 0.639894 | − | 0.995694i | ||||
\(515\) | 9.81683 | + | 20.0215i | 0.432581 | + | 0.882252i | ||||
\(516\) | −0.840557 | + | 2.86267i | −0.0370035 | + | 0.126022i | ||||
\(517\) | −0.309003 | − | 0.0221004i | −0.0135900 | − | 0.000971973i | ||||
\(518\) | 3.38533 | + | 0.242123i | 0.148743 | + | 0.0106383i | ||||
\(519\) | −1.47594 | + | 5.02659i | −0.0647866 | + | 0.220643i | ||||
\(520\) | 3.85332 | − | 11.2671i | 0.168979 | − | 0.494094i | ||||
\(521\) | −23.4331 | + | 36.4627i | −1.02662 | + | 1.59746i | −0.249231 | + | 0.968444i | \(0.580178\pi\) |
−0.777394 | + | 0.629014i | \(0.783459\pi\) | |||||||
\(522\) | 0.216736 | + | 0.118347i | 0.00948628 | + | 0.00517990i | ||||
\(523\) | −16.8304 | + | 12.5991i | −0.735942 | + | 0.550919i | −0.900189 | − | 0.435500i | \(-0.856571\pi\) |
0.164247 | + | 0.986419i | \(0.447481\pi\) | |||||||
\(524\) | −6.59552 | + | 3.01207i | −0.288127 | + | 0.131583i | ||||
\(525\) | 9.52009 | − | 3.37340i | 0.415491 | − | 0.147227i | ||||
\(526\) | −11.2629 | − | 17.5254i | −0.491085 | − | 0.764143i | ||||
\(527\) | 0.111871 | + | 1.56416i | 0.00487318 | + | 0.0681360i | ||||
\(528\) | −0.300956 | − | 0.300956i | −0.0130974 | − | 0.0130974i | ||||
\(529\) | −18.1404 | − | 14.1395i | −0.788713 | − | 0.614762i | ||||
\(530\) | −29.1212 | + | 2.88864i | −1.26494 | + | 0.125475i | ||||
\(531\) | 6.68214 | − | 7.71160i | 0.289980 | − | 0.334655i | ||||
\(532\) | 0.967712 | + | 0.210513i | 0.0419556 | + | 0.00912689i | ||||
\(533\) | −1.53116 | − | 1.14621i | −0.0663218 | − | 0.0496479i | ||||
\(534\) | −6.28077 | − | 13.7530i | −0.271796 | − | 0.595149i | ||||
\(535\) | −9.46719 | + | 8.66992i | −0.409302 | + | 0.374834i | ||||
\(536\) | 1.81568 | + | 6.18364i | 0.0784254 | + | 0.267092i | ||||
\(537\) | −4.72264 | − | 21.7096i | −0.203797 | − | 0.936839i | ||||
\(538\) | −5.01360 | − | 13.4420i | −0.216152 | − | 0.579525i | ||||
\(539\) | 1.19226 | + | 0.350079i | 0.0513543 | + | 0.0150790i | ||||
\(540\) | 0.0614183 | + | 2.23522i | 0.00264302 | + | 0.0961887i | ||||
\(541\) | 14.7021 | + | 16.9671i | 0.632091 | + | 0.729471i | 0.977956 | − | 0.208813i | \(-0.0669600\pi\) |
−0.345865 | + | 0.938284i | \(0.612415\pi\) | |||||||
\(542\) | 5.67954 | + | 10.4013i | 0.243957 | + | 0.446774i | ||||
\(543\) | 16.3172 | − | 6.08601i | 0.700239 | − | 0.261176i | ||||
\(544\) | −1.04570 | − | 0.672029i | −0.0448339 | − | 0.0288130i | ||||
\(545\) | −2.67573 | − | 6.61319i | −0.114616 | − | 0.283278i | ||||
\(546\) | 10.6478 | + | 1.53092i | 0.455682 | + | 0.0655172i | ||||
\(547\) | 9.01780 | − | 24.1777i | 0.385573 | − | 1.03376i | −0.588692 | − | 0.808357i | \(-0.700357\pi\) |
0.974265 | − | 0.225405i | \(-0.0723704\pi\) | |||||||
\(548\) | −12.4109 | + | 16.5790i | −0.530167 | + | 0.708221i | ||||
\(549\) | 11.1859 | − | 7.18877i | 0.477404 | − | 0.306809i | ||||
\(550\) | −0.565863 | − | 2.05147i | −0.0241285 | − | 0.0874748i | ||||
\(551\) | 0.121067i | 0.00515763i | ||||||||
\(552\) | 4.53544 | + | 1.55878i | 0.193041 | + | 0.0663462i | ||||
\(553\) | −17.9650 | + | 17.9650i | −0.763951 | + | 0.763951i | ||||
\(554\) | 19.1346 | + | 16.5802i | 0.812952 | + | 0.704427i | ||||
\(555\) | −2.94464 | + | 2.33323i | −0.124993 | + | 0.0990402i | ||||
\(556\) | 0.425743 | + | 2.96110i | 0.0180555 | + | 0.125579i | ||||
\(557\) | −26.3469 | − | 9.82690i | −1.11636 | − | 0.416379i | −0.277496 | − | 0.960727i | \(-0.589505\pi\) |
−0.838860 | + | 0.544348i | \(0.816777\pi\) | |||||||
\(558\) | 0.756029 | + | 1.00994i | 0.0320053 | + | 0.0427540i | ||||
\(559\) | −15.2447 | + | 4.47624i | −0.644780 | + | 0.189325i | ||||
\(560\) | 1.39112 | + | 4.29735i | 0.0587855 | + | 0.181596i | ||||
\(561\) | −0.219775 | + | 0.481241i | −0.00927892 | + | 0.0203180i | ||||
\(562\) | 14.5292 | − | 7.93355i | 0.612878 | − | 0.334657i | ||||
\(563\) | −2.98414 | + | 41.7238i | −0.125767 | + | 1.75845i | 0.408155 | + | 0.912913i | \(0.366172\pi\) |
−0.533921 | + | 0.845534i | \(0.679282\pi\) | |||||||
\(564\) | −0.550087 | + | 0.476653i | −0.0231628 | + | 0.0200707i | ||||
\(565\) | −20.4520 | + | 13.9520i | −0.860421 | + | 0.586966i | ||||
\(566\) | −17.8122 | − | 8.13458i | −0.748704 | − | 0.341922i | ||||
\(567\) | −1.97386 | + | 0.429386i | −0.0828941 | + | 0.0180325i | ||||
\(568\) | 4.64383 | − | 8.50454i | 0.194851 | − | 0.356843i | ||||
\(569\) | 3.59387 | − | 24.9959i | 0.150663 | − | 1.04788i | −0.764449 | − | 0.644684i | \(-0.776989\pi\) |
0.915112 | − | 0.403199i | \(-0.132102\pi\) | |||||||
\(570\) | −0.947375 | + | 0.551614i | −0.0396812 | + | 0.0231046i | ||||
\(571\) | 29.0804 | − | 4.18113i | 1.21698 | − | 0.174975i | 0.496241 | − | 0.868185i | \(-0.334713\pi\) |
0.720736 | + | 0.693210i | \(0.243804\pi\) | |||||||
\(572\) | 0.481788 | − | 2.21474i | 0.0201446 | − | 0.0926030i | ||||
\(573\) | 2.22650 | − | 0.159242i | 0.0930133 | − | 0.00665244i | ||||
\(574\) | 0.725515 | 0.0302824 | ||||||||
\(575\) | 15.8744 | + | 17.9723i | 0.662009 | + | 0.749496i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 20.5040 | − | 1.46647i | 0.853591 | − | 0.0610500i | 0.362317 | − | 0.932055i | \(-0.381986\pi\) |
0.491274 | + | 0.871005i | \(0.336531\pi\) | |||||||
\(578\) | 3.28517 | − | 15.1017i | 0.136645 | − | 0.628148i | ||||
\(579\) | −12.3076 | + | 1.76957i | −0.511487 | + | 0.0735407i | ||||
\(580\) | −0.477185 | + | 0.277843i | −0.0198140 | + | 0.0115368i | ||||
\(581\) | 2.53542 | − | 17.6342i | 0.105187 | − | 0.731591i | ||||
\(582\) | 1.79177 | − | 3.28139i | 0.0742714 | − | 0.136018i | ||||
\(583\) | −5.44286 | + | 1.18402i | −0.225420 | + | 0.0490372i | ||||
\(584\) | 6.04889 | + | 2.76244i | 0.250305 | + | 0.114310i | ||||
\(585\) | −9.83685 | + | 6.71055i | −0.406704 | + | 0.277447i | ||||
\(586\) | 1.55590 | − | 1.34819i | 0.0642736 | − | 0.0556934i | ||||
\(587\) | −1.91063 | + | 26.7141i | −0.0788602 | + | 1.10261i | 0.791818 | + | 0.610757i | \(0.209135\pi\) |
−0.870678 | + | 0.491853i | \(0.836320\pi\) | |||||||
\(588\) | 2.56240 | − | 1.39918i | 0.105672 | − | 0.0577011i | ||||
\(589\) | −0.256935 | + | 0.562609i | −0.0105868 | + | 0.0231819i | ||||
\(590\) | 7.02708 | + | 21.7076i | 0.289300 | + | 0.893686i | ||||
\(591\) | −13.4807 | + | 3.95828i | −0.554520 | + | 0.162822i | ||||
\(592\) | −1.00689 | − | 1.34505i | −0.0413828 | − | 0.0552810i | ||||
\(593\) | 27.5274 | + | 10.2672i | 1.13042 | + | 0.421623i | 0.843926 | − | 0.536460i | \(-0.180239\pi\) |
0.286490 | + | 0.958083i | \(0.407512\pi\) | |||||||
\(594\) | 0.0605714 | + | 0.421283i | 0.00248528 | + | 0.0172855i | ||||
\(595\) | 4.40061 | − | 3.48690i | 0.180408 | − | 0.142949i | ||||
\(596\) | −3.46629 | − | 3.00356i | −0.141985 | − | 0.123031i | ||||
\(597\) | 9.26387 | − | 9.26387i | 0.379145 | − | 0.379145i | ||||
\(598\) | 6.07465 | + | 24.8064i | 0.248411 | + | 1.01441i | ||||
\(599\) | 17.5421i | 0.716750i | 0.933578 | + | 0.358375i | \(0.116669\pi\) | ||||
−0.933578 | + | 0.358375i | \(0.883331\pi\) | |||||||
\(600\) | −4.34836 | − | 2.46814i | −0.177521 | − | 0.100762i | ||||
\(601\) | 19.7350 | − | 12.6829i | 0.805009 | − | 0.517348i | −0.0722380 | − | 0.997387i | \(-0.523014\pi\) |
0.877247 | + | 0.480040i | \(0.159378\pi\) | |||||||
\(602\) | 3.61172 | − | 4.82469i | 0.147203 | − | 0.196640i | ||||
\(603\) | 2.25219 | − | 6.03835i | 0.0917162 | − | 0.245901i | ||||
\(604\) | −15.8431 | − | 2.27790i | −0.644648 | − | 0.0926864i | ||||
\(605\) | 9.07352 | + | 22.4256i | 0.368891 | + | 0.911732i | ||||
\(606\) | 2.51549 | + | 1.61661i | 0.102185 | + | 0.0656701i | ||||
\(607\) | −23.4469 | + | 8.74523i | −0.951679 | + | 0.354958i | −0.776882 | − | 0.629646i | \(-0.783200\pi\) |
−0.174797 | + | 0.984604i | \(0.555927\pi\) | |||||||
\(608\) | −0.234959 | − | 0.430295i | −0.00952884 | − | 0.0174508i | ||||
\(609\) | −0.326663 | − | 0.376989i | −0.0132371 | − | 0.0152764i | ||||
\(610\) | 0.816664 | + | 29.7212i | 0.0330658 | + | 1.20338i | ||||
\(611\) | −3.71913 | − | 1.09203i | −0.150460 | − | 0.0441790i | ||||
\(612\) | 0.434392 | + | 1.16465i | 0.0175593 | + | 0.0470782i | ||||
\(613\) | 2.68987 | + | 12.3651i | 0.108643 | + | 0.499422i | 0.999023 | + | 0.0442041i | \(0.0140752\pi\) |
−0.890380 | + | 0.455218i | \(0.849561\pi\) | |||||||
\(614\) | −5.80134 | − | 19.7575i | −0.234123 | − | 0.797350i | ||||
\(615\) | −0.592276 | + | 0.542399i | −0.0238829 | + | 0.0218716i | ||||
\(616\) | 0.357154 | + | 0.782058i | 0.0143901 | + | 0.0315100i | ||||
\(617\) | 25.7437 | + | 19.2715i | 1.03640 | + | 0.775842i | 0.974985 | − | 0.222270i | \(-0.0713467\pi\) |
0.0614183 | + | 0.998112i | \(0.480438\pi\) | |||||||
\(618\) | 9.74436 | + | 2.11976i | 0.391976 | + | 0.0852691i | ||||
\(619\) | 11.3318 | − | 13.0775i | 0.455462 | − | 0.525631i | −0.480849 | − | 0.876803i | \(-0.659671\pi\) |
0.936311 | + | 0.351173i | \(0.114217\pi\) | |||||||
\(620\) | −2.80717 | + | 0.278454i | −0.112739 | + | 0.0111830i | ||||
\(621\) | −2.69666 | − | 3.96586i | −0.108213 | − | 0.159144i | ||||
\(622\) | −10.4142 | − | 10.4142i | −0.417571 | − | 0.417571i | ||||
\(623\) | 2.17879 | + | 30.4634i | 0.0872912 | + | 1.22049i | ||||
\(624\) | −2.87909 | − | 4.47995i | −0.115256 | − | 0.179341i | ||||
\(625\) | −12.8165 | − | 21.4648i | −0.512661 | − | 0.858591i | ||||
\(626\) | −6.46166 | + | 2.95094i | −0.258260 | + | 0.117943i | ||||
\(627\) | −0.167044 | + | 0.125048i | −0.00667111 | + | 0.00499393i | ||||
\(628\) | −7.74064 | − | 4.22671i | −0.308885 | − | 0.168664i | ||||
\(629\) | −1.12912 | + | 1.75695i | −0.0450211 | + | 0.0700542i | ||||
\(630\) | 1.46166 | − | 4.27387i | 0.0582338 | − | 0.170275i | ||||
\(631\) | −8.05579 | + | 27.4355i | −0.320696 | + | 1.09219i | 0.628580 | + | 0.777745i | \(0.283636\pi\) |
−0.949276 | + | 0.314445i | \(0.898182\pi\) | |||||||
\(632\) | 12.5453 | + | 0.897254i | 0.499023 | + | 0.0356909i | ||||
\(633\) | 17.1688 | + | 1.22794i | 0.682399 | + | 0.0488061i | ||||
\(634\) | −6.54598 | + | 22.2935i | −0.259974 | + | 0.885390i | ||||
\(635\) | −0.117299 | − | 0.239232i | −0.00465486 | − | 0.00949362i | ||||
\(636\) | −7.07553 | + | 11.0097i | −0.280563 | + | 0.436564i | ||||
\(637\) | 13.6456 | + | 7.45107i | 0.540659 | + | 0.295222i | ||||
\(638\) | −0.0841389 | + | 0.0629856i | −0.00333109 | + | 0.00249362i | ||||
\(639\) | −8.81416 | + | 4.02529i | −0.348683 | + | 0.159238i | ||||
\(640\) | 1.15679 | − | 1.91360i | 0.0457259 | − | 0.0756415i | ||||
\(641\) | 11.4862 | + | 17.8728i | 0.453676 | + | 0.705933i | 0.990462 | − | 0.137785i | \(-0.0439982\pi\) |
−0.536786 | + | 0.843718i | \(0.680362\pi\) | |||||||
\(642\) | 0.409558 | + | 5.72637i | 0.0161640 | + | 0.226002i | ||||
\(643\) | −25.3187 | − | 25.3187i | −0.998471 | − | 0.998471i | 0.00152801 | − | 0.999999i | \(-0.499514\pi\) |
−0.999999 | + | 0.00152801i | \(0.999514\pi\) | |||||||
\(644\) | −7.48364 | − | 6.15192i | −0.294897 | − | 0.242420i | ||||
\(645\) | 0.658527 | + | 6.63879i | 0.0259295 | + | 0.261402i | ||||
\(646\) | −0.399079 | + | 0.460562i | −0.0157015 | + | 0.0181206i | ||||
\(647\) | −28.0497 | − | 6.10184i | −1.10275 | − | 0.239888i | −0.375882 | − | 0.926668i | \(-0.622660\pi\) |
−0.726866 | + | 0.686779i | \(0.759024\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | 1.80412 | + | 3.95048i | 0.0708180 | + | 0.155070i | ||||
\(650\) | −1.46216 | − | 26.5864i | −0.0573506 | − | 1.04281i | ||||
\(651\) | −0.717965 | − | 2.44516i | −0.0281392 | − | 0.0958335i | ||||
\(652\) | −0.109431 | − | 0.503046i | −0.00428564 | − | 0.0197008i | ||||
\(653\) | −4.57552 | − | 12.2674i | −0.179054 | − | 0.480062i | 0.816155 | − | 0.577833i | \(-0.196101\pi\) |
−0.995209 | + | 0.0977710i | \(0.968829\pi\) | |||||||
\(654\) | −3.06118 | − | 0.898845i | −0.119702 | − | 0.0351476i | ||||
\(655\) | −11.1452 | + | 11.7750i | −0.435480 | + | 0.460088i | ||||
\(656\) | −0.235201 | − | 0.271437i | −0.00918307 | − | 0.0105978i | ||||
\(657\) | −3.18692 | − | 5.83641i | −0.124334 | − | 0.227700i | ||||
\(658\) | 1.37761 | − | 0.513821i | 0.0537047 | − | 0.0200308i | ||||
\(659\) | 29.5561 | + | 18.9946i | 1.15134 | + | 0.739924i | 0.969906 | − | 0.243479i | \(-0.0782886\pi\) |
0.181438 | + | 0.983402i | \(0.441925\pi\) | |||||||
\(660\) | −0.876234 | − | 0.371425i | −0.0341074 | − | 0.0144577i | ||||
\(661\) | −38.6464 | − | 5.55651i | −1.50317 | − | 0.216123i | −0.658977 | − | 0.752163i | \(-0.729011\pi\) |
−0.844193 | + | 0.536040i | \(0.819920\pi\) | |||||||
\(662\) | 5.35747 | − | 14.3639i | 0.208224 | − | 0.558271i | ||||
\(663\) | −3.96692 | + | 5.29918i | −0.154062 | + | 0.205803i | ||||
\(664\) | −7.41944 | + | 4.76818i | −0.287930 | + | 0.185041i | ||||
\(665\) | 2.18245 | − | 0.375240i | 0.0846319 | − | 0.0145512i | ||||
\(666\) | 1.68017i | 0.0651053i | ||||||||
\(667\) | 0.540403 | − | 1.05381i | 0.0209245 | − | 0.0408037i | ||||
\(668\) | −9.29766 | + | 9.29766i | −0.359737 | + | 0.359737i | ||||
\(669\) | −14.7353 | − | 12.7682i | −0.569698 | − | 0.493646i | ||||
\(670\) | 8.94967 | + | 11.2949i | 0.345756 | + | 0.436358i | ||||
\(671\) | 0.805403 | + | 5.60170i | 0.0310922 | + | 0.216251i | ||||
\(672\) | 1.89266 | + | 0.705924i | 0.0730108 | + | 0.0272316i | ||||
\(673\) | 12.8567 | + | 17.1745i | 0.495587 | + | 0.662027i | 0.976694 | − | 0.214635i | \(-0.0688561\pi\) |
−0.481107 | + | 0.876662i | \(0.659765\pi\) | |||||||
\(674\) | 19.4559 | − | 5.71276i | 0.749413 | − | 0.220047i | ||||
\(675\) | 2.00194 | + | 4.58173i | 0.0770547 | + | 0.176351i | ||||
\(676\) | 6.38038 | − | 13.9711i | 0.245399 | − | 0.537349i | ||||
\(677\) | −19.5366 | + | 10.6678i | −0.750853 | + | 0.409997i | −0.808619 | − | 0.588333i | \(-0.799784\pi\) |
0.0577652 | + | 0.998330i | \(0.481603\pi\) | |||||||
\(678\) | −0.789865 | + | 11.0438i | −0.0303346 | + | 0.424133i | ||||
\(679\) | −5.70763 | + | 4.94569i | −0.219039 | + | 0.189798i | ||||
\(680\) | −2.73117 | − | 0.515999i | −0.104736 | − | 0.0197877i | ||||
\(681\) | −4.54754 | − | 2.07679i | −0.174262 | − | 0.0795829i | ||||
\(682\) | −0.524672 | + | 0.114135i | −0.0200907 | + | 0.00437047i | ||||
\(683\) | 1.58032 | − | 2.89414i | 0.0604693 | − | 0.110741i | −0.845696 | − | 0.533665i | \(-0.820814\pi\) |
0.906165 | + | 0.422924i | \(0.138996\pi\) | |||||||
\(684\) | −0.0697719 | + | 0.485274i | −0.00266780 | + | 0.0185549i | ||||
\(685\) | −11.8212 | + | 44.7742i | −0.451666 | + | 1.71073i | ||||
\(686\) | −19.8337 | + | 2.85165i | −0.757253 | + | 0.108877i | ||||
\(687\) | 1.31554 | − | 6.04746i | 0.0501911 | − | 0.230725i | ||||
\(688\) | −2.97593 | + | 0.212842i | −0.113456 | + | 0.00811454i | ||||
\(689\) | −69.6941 | −2.65513 | ||||||||
\(690\) | 10.7085 | − | 0.572674i | 0.407666 | − | 0.0218013i | ||||
\(691\) | −6.70888 | −0.255218 | −0.127609 | − | 0.991825i | \(-0.540730\pi\) | ||||
−0.127609 | + | 0.991825i | \(0.540730\pi\) | |||||||
\(692\) | −5.22546 | + | 0.373732i | −0.198642 | + | 0.0142072i | ||||
\(693\) | 0.182753 | − | 0.840104i | 0.00694223 | − | 0.0319129i | ||||
\(694\) | −8.98781 | + | 1.29225i | −0.341173 | + | 0.0490532i | ||||
\(695\) | 3.36590 | + | 5.78080i | 0.127676 | + | 0.219278i | ||||
\(696\) | −0.0351436 | + | 0.244429i | −0.00133211 | + | 0.00926505i | ||||
\(697\) | −0.213959 | + | 0.391837i | −0.00810429 | + | 0.0148419i | ||||
\(698\) | −22.1371 | + | 4.81563i | −0.837901 | + | 0.182274i | ||||
\(699\) | −15.2420 | − | 6.96078i | −0.576505 | − | 0.263281i | ||||
\(700\) | 6.48764 | + | 7.74097i | 0.245210 | + | 0.292581i | ||||
\(701\) | 14.8858 | − | 12.8986i | 0.562228 | − | 0.487173i | −0.326758 | − | 0.945108i | \(-0.605956\pi\) |
0.888986 | + | 0.457935i | \(0.151411\pi\) | |||||||
\(702\) | −0.379904 | + | 5.31175i | −0.0143386 | + | 0.200479i | ||||
\(703\) | −0.722968 | + | 0.394771i | −0.0272673 | + | 0.0148891i | ||||
\(704\) | 0.176807 | − | 0.387154i | 0.00666367 | − | 0.0145914i | ||||
\(705\) | −0.740479 | + | 1.44937i | −0.0278880 | + | 0.0545863i | ||||
\(706\) | 9.16810 | − | 2.69200i | 0.345046 | − | 0.101315i | ||||
\(707\) | −3.61975 | − | 4.83543i | −0.136135 | − | 0.181855i | ||||
\(708\) | 9.56055 | + | 3.56590i | 0.359307 | + | 0.134015i | ||||
\(709\) | 5.02263 | + | 34.9331i | 0.188629 | + | 1.31194i | 0.835563 | + | 0.549395i | \(0.185142\pi\) |
−0.646934 | + | 0.762546i | \(0.723949\pi\) | |||||||
\(710\) | 2.49331 | − | 21.5231i | 0.0935722 | − | 0.807749i | ||||
\(711\) | −9.50529 | − | 8.23638i | −0.356476 | − | 0.308888i | ||||
\(712\) | 10.6909 | − | 10.6909i | 0.400660 | − | 0.400660i | ||||
\(713\) | 4.74775 | − | 3.75027i | 0.177805 | − | 0.140449i | ||||
\(714\) | − | 2.51093i | − | 0.0939692i | ||||||
\(715\) | −0.858789 | − | 4.99485i | −0.0321169 | − | 0.186797i | ||||
\(716\) | 18.6904 | − | 12.0116i | 0.698494 | − | 0.448895i | ||||
\(717\) | 13.3062 | − | 17.7750i | 0.496930 | − | 0.663821i | ||||
\(718\) | −2.67624 | + | 7.17528i | −0.0998764 | + | 0.267779i | ||||
\(719\) | 3.78306 | + | 0.543922i | 0.141084 | + | 0.0202849i | 0.212495 | − | 0.977162i | \(-0.431841\pi\) |
−0.0714108 | + | 0.997447i | \(0.522750\pi\) | |||||||
\(720\) | −2.07283 | + | 0.838677i | −0.0772498 | + | 0.0312556i | ||||
\(721\) | −16.9463 | − | 10.8908i | −0.631115 | − | 0.405593i | ||||
\(722\) | 17.5768 | − | 6.55582i | 0.654142 | − | 0.243982i | ||||
\(723\) | −3.44135 | − | 6.30236i | −0.127985 | − | 0.234387i | ||||
\(724\) | 11.4046 | + | 13.1616i | 0.423848 | + | 0.489146i | ||||
\(725\) | −0.756103 | + | 0.976126i | −0.0280809 | + | 0.0362524i | ||||
\(726\) | 10.3806 | + | 3.04802i | 0.385261 | + | 0.113123i | ||||
\(727\) | 7.31117 | + | 19.6020i | 0.271156 | + | 0.726998i | 0.999142 | + | 0.0414060i | \(0.0131837\pi\) |
−0.727986 | + | 0.685592i | \(0.759544\pi\) | |||||||
\(728\) | 2.28662 | + | 10.5114i | 0.0847477 | + | 0.389579i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | 14.8551 | + | 0.652995i | 0.549813 | + | 0.0241684i | ||||
\(731\) | 1.54061 | + | 3.37346i | 0.0569814 | + | 0.124772i | ||||
\(732\) | 10.6446 | + | 7.96844i | 0.393436 | + | 0.294522i | ||||
\(733\) | 47.8187 | + | 10.4023i | 1.76622 | + | 0.384219i | 0.974096 | − | 0.226135i | \(-0.0726091\pi\) |
0.792129 | + | 0.610354i | \(0.208973\pi\) | |||||||
\(734\) | −5.07726 | + | 5.85947i | −0.187405 | + | 0.216277i | ||||
\(735\) | 4.13797 | − | 5.04928i | 0.152631 | − | 0.186246i | ||||
\(736\) | 0.124472 | + | 4.79422i | 0.00458808 | + | 0.176717i | ||||
\(737\) | 1.93957 | + | 1.93957i | 0.0714449 | + | 0.0714449i | ||||
\(738\) | 0.0256223 | + | 0.358247i | 0.000943171 | + | 0.0131873i | ||||
\(739\) | −19.3799 | − | 30.1557i | −0.712900 | − | 1.10929i | −0.988964 | − | 0.148155i | \(-0.952666\pi\) |
0.276064 | − | 0.961139i | \(-0.410970\pi\) | |||||||
\(740\) | −3.21517 | − | 1.94360i | −0.118192 | − | 0.0714480i | ||||
\(741\) | −2.37488 | + | 1.08457i | −0.0872435 | + | 0.0398428i | ||||
\(742\) | 21.1636 | − | 15.8429i | 0.776940 | − | 0.581610i | ||||
\(743\) | 16.7269 | + | 9.13357i | 0.613650 | + | 0.335078i | 0.755835 | − | 0.654762i | \(-0.227231\pi\) |
−0.142186 | + | 0.989840i | \(0.545413\pi\) | |||||||
\(744\) | −0.682055 | + | 1.06130i | −0.0250053 | + | 0.0389091i | ||||
\(745\) | −9.70405 | − | 3.31877i | −0.355529 | − | 0.121590i | ||||
\(746\) | 5.39856 | − | 18.3858i | 0.197655 | − | 0.673152i | ||||
\(747\) | 8.79703 | + | 0.629176i | 0.321867 | + | 0.0230204i | ||||
\(748\) | −0.527702 | − | 0.0377420i | −0.0192947 | − | 0.00137998i | ||||
\(749\) | 3.26723 | − | 11.1272i | 0.119382 | − | 0.406578i | ||||
\(750\) | −11.0834 | − | 1.46917i | −0.404708 | − | 0.0536465i | ||||
\(751\) | 10.2355 | − | 15.9267i | 0.373497 | − | 0.581173i | −0.602724 | − | 0.797950i | \(-0.705918\pi\) |
0.976221 | + | 0.216777i | \(0.0695543\pi\) | |||||||
\(752\) | −0.638836 | − | 0.348831i | −0.0232959 | − | 0.0127205i | ||||
\(753\) | −21.1149 | + | 15.8064i | −0.769470 | + | 0.576018i | ||||
\(754\) | −1.19621 | + | 0.546290i | −0.0435634 | + | 0.0198947i | ||||
\(755\) | −34.7506 | + | 8.56558i | −1.26470 | + | 0.311733i | ||||
\(756\) | −1.09210 | − | 1.69935i | −0.0397195 | − | 0.0618047i | ||||
\(757\) | 1.81556 | + | 25.3848i | 0.0659876 | + | 0.922627i | 0.917358 | + | 0.398062i | \(0.130317\pi\) |
−0.851371 | + | 0.524564i | \(0.824228\pi\) | |||||||
\(758\) | 9.44518 | + | 9.44518i | 0.343064 | + | 0.343064i | ||||
\(759\) | 2.01218 | − | 0.342830i | 0.0730377 | − | 0.0124440i | ||||
\(760\) | −0.847908 | − | 0.694873i | −0.0307568 | − | 0.0252057i | ||||
\(761\) | −6.37380 | + | 7.35576i | −0.231050 | + | 0.266646i | −0.859422 | − | 0.511267i | \(-0.829176\pi\) |
0.628372 | + | 0.777913i | \(0.283722\pi\) | |||||||
\(762\) | −0.116433 | − | 0.0253284i | −0.00421792 | − | 0.000917553i | ||||
\(763\) | 5.15925 | + | 3.86217i | 0.186778 | + | 0.139820i | ||||
\(764\) | 0.927283 | + | 2.03047i | 0.0335479 | + | 0.0734597i | ||||
\(765\) | 1.87719 | + | 2.04981i | 0.0678698 | + | 0.0741109i | ||||
\(766\) | −0.248224 | − | 0.845374i | −0.00896871 | − | 0.0305446i | ||||
\(767\) | 11.5506 | + | 53.0973i | 0.417068 | + | 1.91723i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | −26.1823 | − | 7.68781i | −0.944157 | − | 0.277229i | −0.226805 | − | 0.973940i | \(-0.572828\pi\) |
−0.717352 | + | 0.696711i | \(0.754646\pi\) | |||||||
\(770\) | 1.39621 | + | 1.32154i | 0.0503160 | + | 0.0476248i | ||||
\(771\) | −17.5723 | − | 20.2796i | −0.632853 | − | 0.730351i | ||||
\(772\) | −5.95906 | − | 10.9132i | −0.214471 | − | 0.392775i | ||||
\(773\) | −40.1788 | + | 14.9859i | −1.44513 | + | 0.539006i | −0.945036 | − | 0.326965i | \(-0.893974\pi\) |
−0.500094 | + | 0.865971i | \(0.666701\pi\) | |||||||
\(774\) | 2.50990 | + | 1.61302i | 0.0902166 | + | 0.0579787i | ||||
\(775\) | −5.58526 | + | 2.93150i | −0.200628 | + | 0.105303i | ||||
\(776\) | 3.70066 | + | 0.532074i | 0.132846 | + | 0.0191003i | ||||
\(777\) | 1.18607 | − | 3.17998i | 0.0425501 | − | 0.114081i | ||||
\(778\) | −5.90367 | + | 7.88638i | −0.211657 | + | 0.282740i | ||||
\(779\) | −0.148132 | + | 0.0951985i | −0.00530737 | + | 0.00341084i | ||||
\(780\) | −9.72508 | − | 6.87154i | −0.348214 | − | 0.246041i | ||||
\(781\) | − | 4.12414i | − | 0.147573i | ||||||
\(782\) | 5.52952 | − | 2.22754i | 0.197735 | − | 0.0796565i | ||||
\(783\) | 0.174615 | − | 0.174615i | 0.00624022 | − | 0.00624022i | ||||
\(784\) | 2.20643 | + | 1.91188i | 0.0788010 | + | 0.0682814i | ||||
\(785\) | −19.5899 | − | 2.26935i | −0.699192 | − | 0.0809966i | ||||
\(786\) | 1.03189 | + | 7.17696i | 0.0368063 | + | 0.255994i | ||||
\(787\) | −16.5711 | − | 6.18070i | −0.590696 | − | 0.220318i | 0.0362999 | − | 0.999341i | \(-0.488443\pi\) |
−0.626995 | + | 0.779023i | \(0.715716\pi\) | |||||||
\(788\) | −8.41971 | − | 11.2474i | −0.299940 | − | 0.400673i | ||||
\(789\) | −19.9886 | + | 5.86918i | −0.711613 | + | 0.208948i | ||||
\(790\) | 26.7567 | − | 8.66156i | 0.951960 | − | 0.308164i | ||||
\(791\) | 9.29100 | − | 20.3445i | 0.330350 | − | 0.723366i | ||||
\(792\) | −0.373554 | + | 0.203976i | −0.0132737 | + | 0.00724797i | ||||
\(793\) | −5.05149 | + | 70.6290i | −0.179384 | + | 2.50811i | ||||
\(794\) | 16.5671 | − | 14.3555i | 0.587945 | − | 0.509457i | ||||
\(795\) | −5.43275 | + | 28.7554i | −0.192680 | + | 1.01985i | ||||
\(796\) | 11.9172 | + | 5.44239i | 0.422393 | + | 0.192900i | ||||
\(797\) | −2.30820 | + | 0.502118i | −0.0817606 | + | 0.0177859i | −0.253259 | − | 0.967398i | \(-0.581503\pi\) |
0.171499 | + | 0.985184i | \(0.445139\pi\) | |||||||
\(798\) | 0.474621 | − | 0.869204i | 0.0168014 | − | 0.0307695i | ||||
\(799\) | −0.128761 | + | 0.895550i | −0.00455522 | + | 0.0316823i | ||||
\(800\) | 0.792930 | − | 4.93673i | 0.0280343 | − | 0.174540i | ||||
\(801\) | −14.9654 | + | 2.15170i | −0.528776 | + | 0.0760265i | ||||
\(802\) | 2.98431 | − | 13.7187i | 0.105380 | − | 0.484422i | ||||
\(803\) | 2.82306 | − | 0.201909i | 0.0996236 | − | 0.00712522i | ||||
\(804\) | 6.44469 | 0.227287 | ||||||||
\(805\) | −20.6718 | − | 6.47552i | −0.728585 | − | 0.228232i | ||||
\(806\) | −6.71825 | −0.236640 | ||||||||
\(807\) | −14.3100 | + | 1.02347i | −0.503735 | + | 0.0360278i | ||||
\(808\) | −0.635606 | + | 2.92183i | −0.0223605 | + | 0.102790i | ||||
\(809\) | −10.6325 | + | 1.52872i | −0.373819 | + | 0.0537470i | −0.326664 | − | 0.945141i | \(-0.605924\pi\) |
−0.0471547 | + | 0.998888i | \(0.515015\pi\) | |||||||
\(810\) | 2.16199 | + | 0.570805i | 0.0759644 | + | 0.0200560i | ||||
\(811\) | −2.27097 | + | 15.7950i | −0.0797447 | + | 0.554637i | 0.910307 | + | 0.413934i | \(0.135845\pi\) |
−0.990052 | + | 0.140703i | \(0.955064\pi\) | |||||||
\(812\) | 0.239063 | − | 0.437811i | 0.00838946 | − | 0.0153642i | ||||
\(813\) | 11.5801 | − | 2.51909i | 0.406131 | − | 0.0883484i | ||||
\(814\) | −0.650484 | − | 0.297066i | −0.0227994 | − | 0.0104122i | ||||
\(815\) | −0.648724 | − | 0.950951i | −0.0227238 | − | 0.0333104i | ||||
\(816\) | −0.939414 | + | 0.814007i | −0.0328861 | + | 0.0284960i | ||||
\(817\) | −0.104349 | + | 1.45899i | −0.00365071 | + | 0.0510436i | ||||
\(818\) | 14.6151 | − | 7.98045i | 0.511005 | − | 0.279030i | ||||
\(819\) | 4.46872 | − | 9.78514i | 0.156150 | − | 0.341921i | ||||
\(820\) | −0.715180 | − | 0.365384i | −0.0249752 | − | 0.0127598i | ||||
\(821\) | −40.0880 | + | 11.7709i | −1.39908 | + | 0.410807i | −0.892368 | − | 0.451309i | \(-0.850957\pi\) |
−0.506712 | + | 0.862116i | \(0.669139\pi\) | |||||||
\(822\) | 12.4109 | + | 16.5790i | 0.432880 | + | 0.578260i | ||||
\(823\) | 44.8556 | + | 16.7303i | 1.56357 | + | 0.583181i | 0.974398 | − | 0.224828i | \(-0.0721820\pi\) |
0.589170 | + | 0.808009i | \(0.299455\pi\) | |||||||
\(824\) | 1.41920 | + | 9.87076i | 0.0494402 | + | 0.343864i | ||||
\(825\) | −2.12779 | − | 0.0350238i | −0.0740801 | − | 0.00121937i | ||||
\(826\) | −15.5776 | − | 13.4980i | −0.542013 | − | 0.469657i | ||||
\(827\) | 25.4131 | − | 25.4131i | 0.883701 | − | 0.883701i | −0.110208 | − | 0.993909i | \(-0.535152\pi\) |
0.993909 | + | 0.110208i | \(0.0351517\pi\) | |||||||
\(828\) | 2.77342 | − | 3.91256i | 0.0963831 | − | 0.135971i | ||||
\(829\) | − | 11.5411i | − | 0.400839i | −0.979710 | − | 0.200419i | \(-0.935770\pi\) | ||
0.979710 | − | 0.200419i | \(-0.0642304\pi\) | |||||||
\(830\) | −11.3803 | + | 16.1061i | −0.395015 | + | 0.559052i | ||||
\(831\) | 21.2995 | − | 13.6883i | 0.738870 | − | 0.474843i | ||||
\(832\) | 3.19135 | − | 4.26314i | 0.110640 | − | 0.147798i | ||||
\(833\) | 1.26822 | − | 3.40022i | 0.0439411 | − | 0.117811i | ||||
\(834\) | 2.96110 | + | 0.425743i | 0.102535 | + | 0.0147423i | ||||
\(835\) | −11.4747 | + | 27.0702i | −0.397100 | + | 0.936803i | ||||
\(836\) | −0.175540 | − | 0.112812i | −0.00607116 | − | 0.00390170i | ||||
\(837\) | 1.18203 | − | 0.440873i | 0.0408568 | − | 0.0152388i | ||||
\(838\) | 8.54901 | + | 15.6564i | 0.295321 | + | 0.540840i | ||||
\(839\) | −30.4908 | − | 35.1882i | −1.05266 | − | 1.21483i | −0.975999 | − | 0.217776i | \(-0.930120\pi\) |
−0.0766600 | − | 0.997057i | \(-0.524426\pi\) | |||||||
\(840\) | 4.51520 | − | 0.124066i | 0.155789 | − | 0.00428069i | ||||
\(841\) | −27.7668 | − | 8.15306i | −0.957475 | − | 0.281140i | ||||
\(842\) | 3.83338 | + | 10.2777i | 0.132107 | + | 0.354192i | ||||
\(843\) | −3.51883 | − | 16.1758i | −0.121195 | − | 0.557125i | ||||
\(844\) | 4.84937 | + | 16.5154i | 0.166922 | + | 0.568485i | ||||
\(845\) | 1.50822 | − | 34.3107i | 0.0518842 | − | 1.18033i | ||||
\(846\) | 0.302368 | + | 0.662094i | 0.0103956 | + | 0.0227632i | ||||
\(847\) | −17.4953 | − | 13.0968i | −0.601144 | − | 0.450011i | ||||
\(848\) | −12.7882 | − | 2.78190i | −0.439149 | − | 0.0955310i | ||||
\(849\) | −12.8234 | + | 14.7989i | −0.440097 | + | 0.507899i | ||||
\(850\) | −6.09400 | + | 1.22099i | −0.209023 | + | 0.0418796i | ||||
\(851\) | 8.05510 | − | 0.209133i | 0.276125 | − | 0.00716900i | ||||
\(852\) | −6.85173 | − | 6.85173i | −0.234736 | − | 0.234736i | ||||
\(853\) | 2.08914 | + | 29.2100i | 0.0715308 | + | 1.00013i | 0.898810 | + | 0.438339i | \(0.144433\pi\) |
−0.827279 | + | 0.561792i | \(0.810112\pi\) | |||||||
\(854\) | −14.5214 | − | 22.5958i | −0.496914 | − | 0.773213i | ||||
\(855\) | 0.262363 | + | 1.06441i | 0.00897263 | + | 0.0364020i | ||||
\(856\) | −5.22219 | + | 2.38490i | −0.178491 | + | 0.0815141i | ||||
\(857\) | −34.1977 | + | 25.6001i | −1.16817 | + | 0.874482i | −0.993907 | − | 0.110217i | \(-0.964845\pi\) |
−0.174263 | + | 0.984699i | \(0.555754\pi\) | |||||||
\(858\) | −1.98929 | − | 1.08624i | −0.0679134 | − | 0.0370835i | ||||
\(859\) | 7.27609 | − | 11.3218i | 0.248257 | − | 0.386295i | −0.694652 | − | 0.719346i | \(-0.744442\pi\) |
0.942909 | + | 0.333051i | \(0.108078\pi\) | |||||||
\(860\) | −5.99008 | + | 2.93703i | −0.204260 | + | 0.100152i | ||||
\(861\) | 0.204401 | − | 0.696126i | 0.00696597 | − | 0.0237239i | ||||
\(862\) | −8.39519 | − | 0.600436i | −0.285941 | − | 0.0204509i | ||||
\(863\) | 4.77417 | + | 0.341455i | 0.162515 | + | 0.0116233i | 0.152359 | − | 0.988325i | \(-0.451313\pi\) |
0.0101553 | + | 0.999948i | \(0.496767\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −10.5180 | + | 5.15715i | −0.357624 | + | 0.175348i | ||||
\(866\) | −7.98275 | + | 12.4214i | −0.271265 | + | 0.422096i | ||||
\(867\) | −13.5644 | − | 7.40674i | −0.460672 | − | 0.251546i | ||||
\(868\) | 2.04009 | − | 1.52719i | 0.0692452 | − | 0.0518363i | ||||
\(869\) | 4.86935 | − | 2.22376i | 0.165181 | − | 0.0754358i | ||||
\(870\) | 0.132150 | + | 0.536133i | 0.00448031 | + | 0.0181766i | ||||
\(871\) | 18.5548 | + | 28.8719i | 0.628706 | + | 0.978286i | ||||
\(872\) | −0.227602 | − | 3.18229i | −0.00770757 | − | 0.107766i | ||||
\(873\) | −2.64367 | − | 2.64367i | −0.0894746 | − | 0.0894746i | ||||
\(874\) | 2.33519 | + | 0.274099i | 0.0789891 | + | 0.00927153i | ||||
\(875\) | 19.9399 | + | 10.6047i | 0.674093 | + | 0.358503i | ||||
\(876\) | 4.35471 | − | 5.02560i | 0.147132 | − | 0.169799i | ||||
\(877\) | 43.6631 | + | 9.49833i | 1.47440 | + | 0.320736i | 0.876720 | − | 0.481000i | \(-0.159726\pi\) |
0.597678 | + | 0.801736i | \(0.296090\pi\) | |||||||
\(878\) | −32.3243 | − | 24.1977i | −1.09089 | − | 0.816632i | ||||
\(879\) | −0.855236 | − | 1.87270i | −0.0288464 | − | 0.0631648i | ||||
\(880\) | 0.0417943 | − | 0.950787i | 0.00140888 | − | 0.0320510i | ||||
\(881\) | −7.60495 | − | 25.9001i | −0.256217 | − | 0.872596i | −0.982667 | − | 0.185377i | \(-0.940649\pi\) |
0.726450 | − | 0.687219i | \(-0.241169\pi\) | |||||||
\(882\) | −0.620589 | − | 2.85280i | −0.0208963 | − | 0.0960588i | ||||
\(883\) | −2.29862 | − | 6.16283i | −0.0773546 | − | 0.207396i | 0.892516 | − | 0.451015i | \(-0.148938\pi\) |
−0.969871 | + | 0.243619i | \(0.921665\pi\) | |||||||
\(884\) | −6.35136 | − | 1.86493i | −0.213619 | − | 0.0627243i | ||||
\(885\) | 22.8080 | − | 0.626707i | 0.766683 | − | 0.0210665i | ||||
\(886\) | −10.8196 | − | 12.4864i | −0.363490 | − | 0.419490i | ||||
\(887\) | −0.118490 | − | 0.216998i | −0.00397850 | − | 0.00728608i | 0.875682 | − | 0.482888i | \(-0.160412\pi\) |
−0.879661 | + | 0.475602i | \(0.842230\pi\) | |||||||
\(888\) | −1.57423 | + | 0.587159i | −0.0528279 | + | 0.0197038i | ||||
\(889\) | 0.202488 | + | 0.130131i | 0.00679122 | + | 0.00436445i | ||||
\(890\) | 13.1942 | − | 31.1267i | 0.442272 | − | 1.04337i | ||||
\(891\) | 0.421283 | + | 0.0605714i | 0.0141135 | + | 0.00202922i | ||||
\(892\) | 6.81369 | − | 18.2682i | 0.228139 | − | 0.611665i | ||||
\(893\) | −0.213851 | + | 0.285672i | −0.00715627 | + | 0.00955965i | ||||
\(894\) | −3.85846 | + | 2.47968i | −0.129046 | + | 0.0829330i | ||||
\(895\) | 28.6682 | − | 40.5732i | 0.958272 | − | 1.35621i | ||||
\(896\) | 2.02002i | 0.0674841i | ||||||||
\(897\) | 25.5130 | + | 1.16018i | 0.851854 | + | 0.0387373i | ||||
\(898\) | 13.9178 | − | 13.9178i | 0.464443 | − | 0.464443i | ||||
\(899\) | 0.235442 | + | 0.204012i | 0.00785243 | + | 0.00680417i | ||||
\(900\) | −3.59324 | + | 3.47687i | −0.119775 | + | 0.115896i | ||||
\(901\) | 2.31515 | + | 16.1022i | 0.0771289 | + | 0.536443i | ||||
\(902\) | −0.143227 | − | 0.0534209i | −0.00476893 | − | 0.00177872i | ||||
\(903\) | −3.61172 | − | 4.82469i | −0.120190 | − | 0.160556i | ||||
\(904\) | −10.6235 | + | 3.11933i | −0.353331 | + | 0.103747i | ||||
\(905\) | 34.6781 | + | 17.7170i | 1.15274 | + | 0.588932i | ||||
\(906\) | −6.64916 | + | 14.5596i | −0.220903 | + | 0.483711i | ||||
\(907\) | 46.8244 | − | 25.5680i | 1.55478 | − | 0.848972i | 0.554923 | − | 0.831902i | \(-0.312748\pi\) |
0.999854 | − | 0.0170706i | \(-0.00543400\pi\) | |||||||
\(908\) | 0.356647 | − | 4.98658i | 0.0118358 | − | 0.165486i | ||||
\(909\) | 2.25982 | − | 1.95814i | 0.0749534 | − | 0.0649475i | ||||
\(910\) | 13.5554 | + | 19.8706i | 0.449359 | + | 0.658705i | ||||
\(911\) | 35.8286 | + | 16.3624i | 1.18706 | + | 0.542110i | 0.908327 | − | 0.418260i | \(-0.137360\pi\) |
0.278728 | + | 0.960370i | \(0.410087\pi\) | |||||||
\(912\) | −0.479060 | + | 0.104213i | −0.0158633 | + | 0.00345084i | ||||
\(913\) | −1.79897 | + | 3.29456i | −0.0595371 | + | 0.109034i | ||||
\(914\) | 1.34618 | − | 9.36291i | 0.0445278 | − | 0.309698i | ||||
\(915\) | 28.7474 | + | 7.58985i | 0.950359 | + | 0.250913i | ||||
\(916\) | 6.12590 | − | 0.880771i | 0.202405 | − | 0.0291015i | ||||
\(917\) | 3.11337 | − | 14.3120i | 0.102813 | − | 0.472622i | ||||
\(918\) | 1.23986 | − | 0.0886763i | 0.0409214 | − | 0.00292675i | ||||
\(919\) | 4.91956 | 0.162281 | 0.0811406 | − | 0.996703i | \(-0.474144\pi\) | ||||
0.0811406 | + | 0.996703i | \(0.474144\pi\) | |||||||
\(920\) | 4.27881 | + | 9.83320i | 0.141068 | + | 0.324191i | ||||
\(921\) | −20.5917 | −0.678518 | ||||||||
\(922\) | 10.4443 | − | 0.746991i | 0.343965 | − | 0.0246008i | ||||
\(923\) | 10.9687 | − | 50.4221i | 0.361038 | − | 1.65966i | ||||
\(924\) | 0.851001 | − | 0.122355i | 0.0279959 | − | 0.00402520i | ||||
\(925\) | −8.29454 | − | 1.33226i | −0.272723 | − | 0.0438043i | ||||
\(926\) | 5.53484 | − | 38.4957i | 0.181886 | − | 1.26505i | ||||
\(927\) | 4.77920 | − | 8.75244i | 0.156969 | − | 0.287468i | ||||
\(928\) | −0.241299 | + | 0.0524914i | −0.00792102 | + | 0.00172311i | ||||
\(929\) | 9.58777 | + | 4.37859i | 0.314565 | + | 0.143657i | 0.566440 | − | 0.824103i | \(-0.308320\pi\) |
−0.251876 | + | 0.967760i | \(0.581047\pi\) | |||||||
\(930\) | −0.523697 | + | 2.77191i | −0.0171727 | + | 0.0908946i | ||||
\(931\) | 1.08173 | − | 0.937327i | 0.0354524 | − | 0.0307196i | ||||
\(932\) | 1.19537 | − | 16.7135i | 0.0391558 | − | 0.547470i | ||||
\(933\) | −12.9264 | + | 7.05833i | −0.423190 | + | 0.231079i | ||||
\(934\) | 13.0321 | − | 28.5362i | 0.426422 | − | 0.933734i | ||||
\(935\) | −1.12549 | + | 0.364339i | −0.0368075 | + | 0.0119152i | ||||
\(936\) | −5.10961 | + | 1.50032i | −0.167013 | + | 0.0490394i | ||||
\(937\) | 10.8564 | + | 14.5025i | 0.354664 | + | 0.473776i | 0.942022 | − | 0.335551i | \(-0.108923\pi\) |
−0.587357 | + | 0.809328i | \(0.699832\pi\) | |||||||
\(938\) | −12.1976 | − | 4.54947i | −0.398265 | − | 0.148545i | ||||
\(939\) | 1.01095 | + | 7.03129i | 0.0329910 | + | 0.229458i | ||||
\(940\) | −1.61675 | − | 0.187290i | −0.0527327 | − | 0.00610872i | ||||
\(941\) | −26.5556 | − | 23.0106i | −0.865688 | − | 0.750123i | 0.103972 | − | 0.994580i | \(-0.466845\pi\) |
−0.969660 | + | 0.244457i | \(0.921390\pi\) | |||||||
\(942\) | −6.23629 | + | 6.23629i | −0.203189 | + | 0.203189i | ||||
\(943\) | 1.71432 | − | 0.167431i | 0.0558261 | − | 0.00545229i | ||||
\(944\) | 10.2039i | 0.332109i | ||||||||
\(945\) | −3.68895 | − | 2.60654i | −0.120002 | − | 0.0847906i | ||||
\(946\) | −1.06825 | + | 0.686525i | −0.0347319 | + | 0.0223209i | ||||
\(947\) | 12.7685 | − | 17.0568i | 0.414922 | − | 0.554270i | −0.543580 | − | 0.839357i | \(-0.682932\pi\) |
0.958502 | + | 0.285087i | \(0.0920225\pi\) | |||||||
\(948\) | 4.39532 | − | 11.7843i | 0.142753 | − | 0.382736i | ||||
\(949\) | 35.0520 | + | 5.03972i | 1.13784 | + | 0.163596i | ||||
\(950\) | −2.34034 | − | 0.729233i | −0.0759307 | − | 0.0236595i | ||||
\(951\) | 19.5463 | + | 12.5616i | 0.633832 | + | 0.407339i | ||||
\(952\) | 2.35262 | − | 0.877481i | 0.0762487 | − | 0.0284393i | ||||
\(953\) | −15.2997 | − | 28.0194i | −0.495607 | − | 0.907637i | −0.999049 | − | 0.0436078i | \(-0.986115\pi\) |
0.503441 | − | 0.864029i | \(-0.332067\pi\) | |||||||
\(954\) | 8.57036 | + | 9.89072i | 0.277476 | + | 0.320224i | ||||
\(955\) | 3.62500 | + | 3.43112i | 0.117302 | + | 0.111028i | ||||
\(956\) | 21.3044 | + | 6.25553i | 0.689032 | + | 0.202318i | ||||
\(957\) | 0.0367296 | + | 0.0984758i | 0.00118730 | + | 0.00318327i | ||||
\(958\) | 4.78682 | + | 22.0047i | 0.154655 | + | 0.710938i | ||||
\(959\) | −11.7860 | − | 40.1395i | −0.380591 | − | 1.29617i | ||||
\(960\) | −1.51018 | − | 1.64905i | −0.0487408 | − | 0.0532228i | ||||
\(961\) | −12.2167 | − | 26.7509i | −0.394087 | − | 0.862931i | ||||
\(962\) | −7.16280 | − | 5.36200i | −0.230938 | − | 0.172878i | ||||
\(963\) | 5.60980 | + | 1.22034i | 0.180773 | + | 0.0393248i | ||||
\(964\) | 4.70237 | − | 5.42682i | 0.151453 | − | 0.174786i | ||||
\(965\) | −21.5048 | − | 17.6235i | −0.692263 | − | 0.567320i | ||||
\(966\) | −8.01111 | + | 5.44731i | −0.257753 | + | 0.175264i | ||||
\(967\) | 0.0786012 | + | 0.0786012i | 0.00252764 | + | 0.00252764i | 0.708369 | − | 0.705842i | \(-0.249431\pi\) |
−0.705842 | + | 0.708369i | \(0.749431\pi\) | |||||||
\(968\) | 0.771808 | + | 10.7913i | 0.0248068 | + | 0.346845i | ||||
\(969\) | 0.329472 | + | 0.512669i | 0.0105842 | + | 0.0164693i | ||||
\(970\) | 8.11707 | − | 2.00076i | 0.260623 | − | 0.0642404i | ||||
\(971\) | 16.6711 | − | 7.61342i | 0.535000 | − | 0.244326i | −0.129546 | − | 0.991573i | \(-0.541352\pi\) |
0.664546 | + | 0.747247i | \(0.268625\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | −5.30381 | − | 2.89610i | −0.170032 | − | 0.0928447i | ||||
\(974\) | −13.4997 | + | 21.0059i | −0.432558 | + | 0.673073i | ||||
\(975\) | −25.9214 | − | 6.08733i | −0.830150 | − | 0.194951i | ||||
\(976\) | −3.74613 | + | 12.7581i | −0.119911 | + | 0.408378i | ||||
\(977\) | −6.39941 | − | 0.457695i | −0.204735 | − | 0.0146430i | −0.0314052 | − | 0.999507i | \(-0.509998\pi\) |
−0.173330 | + | 0.984864i | \(0.555453\pi\) | |||||||
\(978\) | −0.513499 | − | 0.0367262i | −0.0164199 | − | 0.00117437i | ||||
\(979\) | 1.81295 | − | 6.17434i | 0.0579421 | − | 0.197333i | ||||
\(980\) | 6.17700 | + | 2.11252i | 0.197317 | + | 0.0674820i | ||||
\(981\) | −1.72487 | + | 2.68395i | −0.0550709 | + | 0.0856919i | ||||
\(982\) | 3.01790 | + | 1.64790i | 0.0963052 | + | 0.0525866i | ||||
\(983\) | 38.1565 | − | 28.5636i | 1.21700 | − | 0.911037i | 0.219097 | − | 0.975703i | \(-0.429689\pi\) |
0.997907 | + | 0.0646657i | \(0.0205981\pi\) | |||||||
\(984\) | −0.326705 | + | 0.149201i | −0.0104150 | + | 0.00475637i | ||||
\(985\) | −26.8856 | − | 16.2526i | −0.856646 | − | 0.517850i | ||||
\(986\) | 0.165952 | + | 0.258227i | 0.00528500 | + | 0.00822362i | ||||
\(987\) | −0.104891 | − | 1.46656i | −0.00333871 | − | 0.0466813i | ||||
\(988\) | −1.84613 | − | 1.84613i | −0.0587331 | − | 0.0587331i | ||||
\(989\) | 7.42074 | − | 12.2338i | 0.235966 | − | 0.389012i | ||||
\(990\) | −0.603244 | + | 0.736098i | −0.0191723 | + | 0.0233947i | ||||
\(991\) | 31.0506 | − | 35.8344i | 0.986356 | − | 1.13832i | −0.00403073 | − | 0.999992i | \(-0.501283\pi\) |
0.990387 | − | 0.138324i | \(-0.0441715\pi\) | |||||||
\(992\) | −1.23274 | − | 0.268165i | −0.0391394 | − | 0.00851426i | ||||
\(993\) | −12.2727 | − | 9.18725i | −0.389463 | − | 0.291549i | ||||
\(994\) | 8.13117 | + | 17.8048i | 0.257905 | + | 0.564733i | ||||
\(995\) | 29.2667 | + | 1.28649i | 0.927816 | + | 0.0407845i | ||||
\(996\) | 2.48474 | + | 8.46225i | 0.0787321 | + | 0.268137i | ||||
\(997\) | 13.0536 | + | 60.0066i | 0.413413 | + | 1.90043i | 0.434539 | + | 0.900653i | \(0.356911\pi\) |
−0.0211262 | + | 0.999777i | \(0.506725\pi\) | |||||||
\(998\) | −9.49732 | − | 25.4633i | −0.300632 | − | 0.806027i | ||||
\(999\) | 1.61211 | + | 0.473358i | 0.0510049 | + | 0.0149764i |
(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 | 690.2.w.b.7.12 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.5 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.5 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.5 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.5 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.12 | yes | 240 | 115.33 | even | 44 | inner |