Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Character | \(\chi\) | \(=\) | 966.169 |
Dual form | 966.2.q.i.463.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | + | 0.989821i | −0.100632 | + | 0.699909i | ||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.987362 | − | 1.13948i | −0.441562 | − | 0.509589i | 0.490723 | − | 0.871316i | \(-0.336733\pi\) |
−0.932284 | + | 0.361727i | \(0.882187\pi\) | |||||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | 0.841254 | + | 0.540641i | 0.317964 | + | 0.204343i | ||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 1.26839 | − | 0.815148i | 0.401102 | − | 0.257772i | ||||
\(11\) | −0.650933 | − | 4.52734i | −0.196264 | − | 1.36504i | −0.815007 | − | 0.579451i | \(-0.803267\pi\) |
0.618743 | − | 0.785593i | \(-0.287642\pi\) | |||||||
\(12\) | −0.142315 | − | 0.989821i | −0.0410828 | − | 0.285737i | ||||
\(13\) | 0.448802 | − | 0.288428i | 0.124475 | − | 0.0799954i | −0.476922 | − | 0.878946i | \(-0.658247\pi\) |
0.601397 | + | 0.798950i | \(0.294611\pi\) | |||||||
\(14\) | −0.654861 | + | 0.755750i | −0.175019 | + | 0.201983i | ||||
\(15\) | 0.626339 | − | 1.37149i | 0.161720 | − | 0.354118i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 1.56321 | − | 0.458999i | 0.379133 | − | 0.111324i | −0.0866127 | − | 0.996242i | \(-0.527604\pi\) |
0.465746 | + | 0.884919i | \(0.345786\pi\) | |||||||
\(18\) | −0.654861 | − | 0.755750i | −0.154352 | − | 0.178132i | ||||
\(19\) | 0.620628 | + | 0.182233i | 0.142382 | + | 0.0418071i | 0.352147 | − | 0.935945i | \(-0.385452\pi\) |
−0.209765 | + | 0.977752i | \(0.567270\pi\) | |||||||
\(20\) | 0.626339 | + | 1.37149i | 0.140054 | + | 0.306675i | ||||
\(21\) | −0.142315 | + | 0.989821i | −0.0310556 | + | 0.215997i | ||||
\(22\) | 4.57389 | 0.975158 | ||||||||
\(23\) | −0.679686 | − | 4.74742i | −0.141724 | − | 0.989906i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.388051 | − | 2.69896i | 0.0776102 | − | 0.539791i | ||||
\(26\) | 0.221621 | + | 0.485282i | 0.0434634 | + | 0.0951715i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | −0.654861 | − | 0.755750i | −0.123757 | − | 0.142823i | ||||
\(29\) | 6.91617 | − | 2.03077i | 1.28430 | − | 0.377105i | 0.432816 | − | 0.901483i | \(-0.357520\pi\) |
0.851486 | + | 0.524378i | \(0.175702\pi\) | |||||||
\(30\) | 1.26839 | + | 0.815148i | 0.231576 | + | 0.148825i | ||||
\(31\) | 0.297002 | − | 0.650345i | 0.0533432 | − | 0.116805i | −0.881084 | − | 0.472961i | \(-0.843185\pi\) |
0.934427 | + | 0.356155i | \(0.115913\pi\) | |||||||
\(32\) | −0.654861 | + | 0.755750i | −0.115764 | + | 0.133599i | ||||
\(33\) | 3.84780 | − | 2.47283i | 0.669817 | − | 0.430465i | ||||
\(34\) | 0.231859 | + | 1.61262i | 0.0397635 | + | 0.276562i | ||||
\(35\) | −0.214574 | − | 1.49240i | −0.0362697 | − | 0.252261i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −1.04691 | + | 1.20820i | −0.172111 | + | 0.198627i | −0.835251 | − | 0.549868i | \(-0.814678\pi\) |
0.663140 | + | 0.748495i | \(0.269223\pi\) | |||||||
\(38\) | −0.268702 | + | 0.588376i | −0.0435893 | + | 0.0954472i | ||||
\(39\) | 0.448802 | + | 0.288428i | 0.0718659 | + | 0.0461854i | ||||
\(40\) | −1.44667 | + | 0.424780i | −0.228738 | + | 0.0671637i | ||||
\(41\) | −0.692975 | − | 0.799736i | −0.108225 | − | 0.124898i | 0.699053 | − | 0.715070i | \(-0.253605\pi\) |
−0.807277 | + | 0.590172i | \(0.799060\pi\) | |||||||
\(42\) | −0.959493 | − | 0.281733i | −0.148053 | − | 0.0434723i | ||||
\(43\) | 1.60546 | + | 3.51547i | 0.244831 | + | 0.536104i | 0.991655 | − | 0.128917i | \(-0.0411499\pi\) |
−0.746825 | + | 0.665021i | \(0.768423\pi\) | |||||||
\(44\) | −0.650933 | + | 4.52734i | −0.0981318 | + | 0.682522i | ||||
\(45\) | 1.50774 | 0.224761 | ||||||||
\(46\) | 4.79583 | + | 0.00286106i | 0.707107 | + | 0.000421840i | ||||
\(47\) | 9.54327 | 1.39203 | 0.696014 | − | 0.718028i | \(-0.254955\pi\) | ||||
0.696014 | + | 0.718028i | \(0.254955\pi\) | |||||||
\(48\) | −0.142315 | + | 0.989821i | −0.0205414 | + | 0.142868i | ||||
\(49\) | 0.415415 | + | 0.909632i | 0.0593450 | + | 0.129947i | ||||
\(50\) | 2.61626 | + | 0.768203i | 0.369995 | + | 0.108640i | ||||
\(51\) | 1.06690 | + | 1.23127i | 0.149396 | + | 0.172412i | ||||
\(52\) | −0.511882 | + | 0.150302i | −0.0709853 | + | 0.0208432i | ||||
\(53\) | −2.74627 | − | 1.76492i | −0.377229 | − | 0.242430i | 0.338263 | − | 0.941052i | \(-0.390161\pi\) |
−0.715491 | + | 0.698621i | \(0.753797\pi\) | |||||||
\(54\) | 0.415415 | − | 0.909632i | 0.0565308 | − | 0.123785i | ||||
\(55\) | −4.51609 | + | 5.21185i | −0.608949 | + | 0.702765i | ||||
\(56\) | 0.841254 | − | 0.540641i | 0.112417 | − | 0.0722462i | ||||
\(57\) | 0.0920533 | + | 0.640245i | 0.0121928 | + | 0.0848025i | ||||
\(58\) | 1.02583 | + | 7.13479i | 0.134698 | + | 0.936843i | ||||
\(59\) | 9.57690 | − | 6.15470i | 1.24681 | − | 0.801274i | 0.260384 | − | 0.965505i | \(-0.416151\pi\) |
0.986422 | + | 0.164231i | \(0.0525144\pi\) | |||||||
\(60\) | −0.987362 | + | 1.13948i | −0.127468 | + | 0.147106i | ||||
\(61\) | 1.50935 | − | 3.30502i | 0.193253 | − | 0.423165i | −0.788056 | − | 0.615603i | \(-0.788912\pi\) |
0.981309 | + | 0.192439i | \(0.0616396\pi\) | |||||||
\(62\) | 0.601457 | + | 0.386533i | 0.0763851 | + | 0.0490898i | ||||
\(63\) | −0.959493 | + | 0.281733i | −0.120885 | + | 0.0354950i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | −0.771787 | − | 0.226617i | −0.0957284 | − | 0.0281084i | ||||
\(66\) | 1.90006 | + | 4.16056i | 0.233882 | + | 0.512130i | ||||
\(67\) | −0.277422 | + | 1.92951i | −0.0338925 | + | 0.235728i | −0.999725 | − | 0.0234385i | \(-0.992539\pi\) |
0.965833 | + | 0.259166i | \(0.0834477\pi\) | |||||||
\(68\) | −1.62920 | −0.197570 | ||||||||
\(69\) | 4.03606 | − | 2.59041i | 0.485884 | − | 0.311849i | ||||
\(70\) | 1.50774 | 0.180210 | ||||||||
\(71\) | −0.0910965 | + | 0.633590i | −0.0108112 | + | 0.0751933i | −0.994513 | − | 0.104615i | \(-0.966639\pi\) |
0.983702 | + | 0.179809i | \(0.0575479\pi\) | |||||||
\(72\) | 0.415415 | + | 0.909632i | 0.0489571 | + | 0.107201i | ||||
\(73\) | −4.14061 | − | 1.21579i | −0.484622 | − | 0.142298i | 0.0302897 | − | 0.999541i | \(-0.490357\pi\) |
−0.514911 | + | 0.857243i | \(0.672175\pi\) | |||||||
\(74\) | −1.04691 | − | 1.20820i | −0.121701 | − | 0.140450i | ||||
\(75\) | 2.61626 | − | 0.768203i | 0.302100 | − | 0.0887044i | ||||
\(76\) | −0.544147 | − | 0.349702i | −0.0624179 | − | 0.0401136i | ||||
\(77\) | 1.90006 | − | 4.16056i | 0.216532 | − | 0.474140i | ||||
\(78\) | −0.349363 | + | 0.403186i | −0.0395576 | + | 0.0456519i | ||||
\(79\) | −3.05452 | + | 1.96302i | −0.343660 | + | 0.220857i | −0.701073 | − | 0.713090i | \(-0.747295\pi\) |
0.357413 | + | 0.933947i | \(0.383659\pi\) | |||||||
\(80\) | −0.214574 | − | 1.49240i | −0.0239901 | − | 0.166855i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 0.890217 | − | 0.572108i | 0.0983080 | − | 0.0631787i | ||||
\(83\) | −2.89602 | + | 3.34219i | −0.317880 | + | 0.366853i | −0.892092 | − | 0.451854i | \(-0.850763\pi\) |
0.574212 | + | 0.818706i | \(0.305308\pi\) | |||||||
\(84\) | 0.415415 | − | 0.909632i | 0.0453255 | − | 0.0992490i | ||||
\(85\) | −2.06647 | − | 1.32804i | −0.224140 | − | 0.144046i | ||||
\(86\) | −3.70817 | + | 1.08882i | −0.399862 | + | 0.117410i | ||||
\(87\) | 4.72034 | + | 5.44756i | 0.506073 | + | 0.584040i | ||||
\(88\) | −4.38862 | − | 1.28861i | −0.467828 | − | 0.137367i | ||||
\(89\) | −3.97803 | − | 8.71067i | −0.421670 | − | 0.923329i | −0.994606 | − | 0.103728i | \(-0.966923\pi\) |
0.572936 | − | 0.819600i | \(-0.305805\pi\) | |||||||
\(90\) | −0.214574 | + | 1.49240i | −0.0226181 | + | 0.157312i | ||||
\(91\) | 0.533492 | 0.0559252 | ||||||||
\(92\) | −0.685350 | + | 4.74661i | −0.0714527 | + | 0.494868i | ||||
\(93\) | 0.714954 | 0.0741372 | ||||||||
\(94\) | −1.35815 | + | 9.44613i | −0.140082 | + | 0.974294i | ||||
\(95\) | −0.405134 | − | 0.887120i | −0.0415659 | − | 0.0910166i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | 6.30137 | + | 7.27217i | 0.639807 | + | 0.738377i | 0.979341 | − | 0.202217i | \(-0.0648147\pi\) |
−0.339534 | + | 0.940594i | \(0.610269\pi\) | |||||||
\(98\) | −0.959493 | + | 0.281733i | −0.0969234 | + | 0.0284593i | ||||
\(99\) | 3.84780 | + | 2.47283i | 0.386719 | + | 0.248529i | ||||
\(100\) | −1.13272 | + | 2.48030i | −0.113272 | + | 0.248030i | ||||
\(101\) | 3.30032 | − | 3.80878i | 0.328395 | − | 0.378988i | −0.567410 | − | 0.823435i | \(-0.692055\pi\) |
0.895805 | + | 0.444448i | \(0.146600\pi\) | |||||||
\(102\) | −1.37057 | + | 0.880812i | −0.135707 | + | 0.0872134i | ||||
\(103\) | 0.412608 | + | 2.86975i | 0.0406554 | + | 0.282765i | 1.00000 | 0.000526795i | \(0.000167684\pi\) | |
−0.959344 | + | 0.282238i | \(0.908923\pi\) | |||||||
\(104\) | −0.0759239 | − | 0.528062i | −0.00744495 | − | 0.0517807i | ||||
\(105\) | 1.26839 | − | 0.815148i | 0.123783 | − | 0.0795503i | ||||
\(106\) | 2.13779 | − | 2.46714i | 0.207640 | − | 0.239630i | ||||
\(107\) | 4.01213 | − | 8.78535i | 0.387868 | − | 0.849311i | −0.610490 | − | 0.792024i | \(-0.709028\pi\) |
0.998358 | − | 0.0572876i | \(-0.0182452\pi\) | |||||||
\(108\) | 0.841254 | + | 0.540641i | 0.0809497 | + | 0.0520232i | ||||
\(109\) | −15.5340 | + | 4.56121i | −1.48789 | + | 0.436884i | −0.921868 | − | 0.387504i | \(-0.873337\pi\) |
−0.566024 | + | 0.824389i | \(0.691519\pi\) | |||||||
\(110\) | −4.51609 | − | 5.21185i | −0.430592 | − | 0.496930i | ||||
\(111\) | −1.53392 | − | 0.450399i | −0.145593 | − | 0.0427500i | ||||
\(112\) | 0.415415 | + | 0.909632i | 0.0392530 | + | 0.0859521i | ||||
\(113\) | −1.87251 | + | 13.0236i | −0.176151 | + | 1.22516i | 0.689417 | + | 0.724365i | \(0.257867\pi\) |
−0.865568 | + | 0.500791i | \(0.833042\pi\) | |||||||
\(114\) | −0.646829 | −0.0605811 | ||||||||
\(115\) | −4.73848 | + | 5.46191i | −0.441866 | + | 0.509326i | ||||
\(116\) | −7.20816 | −0.669260 | ||||||||
\(117\) | −0.0759239 | + | 0.528062i | −0.00701916 | + | 0.0488193i | ||||
\(118\) | 4.72912 | + | 10.3553i | 0.435351 | + | 0.953285i | ||||
\(119\) | 1.56321 | + | 0.458999i | 0.143299 | + | 0.0420763i | ||||
\(120\) | −0.987362 | − | 1.13948i | −0.0901334 | − | 0.104019i | ||||
\(121\) | −9.51866 | + | 2.79493i | −0.865333 | + | 0.254085i | ||||
\(122\) | 3.05658 | + | 1.96434i | 0.276730 | + | 0.177843i | ||||
\(123\) | 0.439593 | − | 0.962575i | 0.0396368 | − | 0.0867925i | ||||
\(124\) | −0.468195 | + | 0.540326i | −0.0420452 | + | 0.0485227i | ||||
\(125\) | −9.80052 | + | 6.29841i | −0.876585 | + | 0.563347i | ||||
\(126\) | −0.142315 | − | 0.989821i | −0.0126784 | − | 0.0881803i | ||||
\(127\) | −0.730833 | − | 5.08306i | −0.0648510 | − | 0.451048i | −0.996212 | − | 0.0869526i | \(-0.972287\pi\) |
0.931361 | − | 0.364096i | \(-0.118622\pi\) | |||||||
\(128\) | 0.841254 | − | 0.540641i | 0.0743570 | − | 0.0477863i | ||||
\(129\) | −2.53085 | + | 2.92076i | −0.222829 | + | 0.257158i | ||||
\(130\) | 0.334147 | − | 0.731680i | 0.0293066 | − | 0.0641726i | ||||
\(131\) | 0.0890996 | + | 0.0572608i | 0.00778466 | + | 0.00500290i | 0.544527 | − | 0.838743i | \(-0.316709\pi\) |
−0.536743 | + | 0.843746i | \(0.680345\pi\) | |||||||
\(132\) | −4.38862 | + | 1.28861i | −0.381980 | + | 0.112160i | ||||
\(133\) | 0.423583 | + | 0.488841i | 0.0367293 | + | 0.0423879i | ||||
\(134\) | −1.87039 | − | 0.549197i | −0.161577 | − | 0.0474434i | ||||
\(135\) | 0.626339 | + | 1.37149i | 0.0539067 | + | 0.118039i | ||||
\(136\) | 0.231859 | − | 1.61262i | 0.0198818 | − | 0.138281i | ||||
\(137\) | −9.90231 | −0.846012 | −0.423006 | − | 0.906127i | \(-0.639025\pi\) | ||||
−0.423006 | + | 0.906127i | \(0.639025\pi\) | |||||||
\(138\) | 1.98966 | + | 4.36363i | 0.169371 | + | 0.371457i | ||||
\(139\) | 15.6893 | 1.33074 | 0.665372 | − | 0.746512i | \(-0.268273\pi\) | ||||
0.665372 | + | 0.746512i | \(0.268273\pi\) | |||||||
\(140\) | −0.214574 | + | 1.49240i | −0.0181348 | + | 0.126131i | ||||
\(141\) | 3.96442 | + | 8.68086i | 0.333864 | + | 0.731060i | ||||
\(142\) | −0.614177 | − | 0.180339i | −0.0515406 | − | 0.0151337i | ||||
\(143\) | −1.59795 | − | 1.84413i | −0.133627 | − | 0.154214i | ||||
\(144\) | −0.959493 | + | 0.281733i | −0.0799577 | + | 0.0234777i | ||||
\(145\) | −9.14278 | − | 5.87571i | −0.759267 | − | 0.487951i | ||||
\(146\) | 1.79269 | − | 3.92544i | 0.148364 | − | 0.324872i | ||||
\(147\) | −0.654861 | + | 0.755750i | −0.0540120 | + | 0.0623332i | ||||
\(148\) | 1.34489 | − | 0.864310i | 0.110549 | − | 0.0710458i | ||||
\(149\) | −1.89535 | − | 13.1825i | −0.155274 | − | 1.07995i | −0.907199 | − | 0.420702i | \(-0.861784\pi\) |
0.751925 | − | 0.659248i | \(-0.229125\pi\) | |||||||
\(150\) | 0.388051 | + | 2.69896i | 0.0316843 | + | 0.220369i | ||||
\(151\) | 11.4138 | − | 7.33522i | 0.928843 | − | 0.596931i | 0.0136326 | − | 0.999907i | \(-0.495660\pi\) |
0.915211 | + | 0.402976i | \(0.132024\pi\) | |||||||
\(152\) | 0.423583 | − | 0.488841i | 0.0343571 | − | 0.0396502i | ||||
\(153\) | −0.676794 | + | 1.48197i | −0.0547156 | + | 0.119810i | ||||
\(154\) | 3.84780 | + | 2.47283i | 0.310065 | + | 0.199267i | ||||
\(155\) | −1.03430 | + | 0.303698i | −0.0830771 | + | 0.0243936i | ||||
\(156\) | −0.349363 | − | 0.403186i | −0.0279714 | − | 0.0322808i | ||||
\(157\) | 1.11018 | + | 0.325978i | 0.0886020 | + | 0.0260159i | 0.325733 | − | 0.945462i | \(-0.394389\pi\) |
−0.237131 | + | 0.971478i | \(0.576207\pi\) | |||||||
\(158\) | −1.50834 | − | 3.30280i | −0.119997 | − | 0.262756i | ||||
\(159\) | 0.464586 | − | 3.23127i | 0.0368441 | − | 0.256256i | ||||
\(160\) | 1.50774 | 0.119198 | ||||||||
\(161\) | 1.99486 | − | 4.36125i | 0.157217 | − | 0.343715i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 0.0304894 | − | 0.212059i | 0.00238812 | − | 0.0166097i | −0.988593 | − | 0.150615i | \(-0.951875\pi\) |
0.990981 | + | 0.134005i | \(0.0427838\pi\) | |||||||
\(164\) | 0.439593 | + | 0.962575i | 0.0343265 | + | 0.0751645i | ||||
\(165\) | −6.61691 | − | 1.94290i | −0.515126 | − | 0.151255i | ||||
\(166\) | −2.89602 | − | 3.34219i | −0.224775 | − | 0.259404i | ||||
\(167\) | 6.25781 | − | 1.83746i | 0.484244 | − | 0.142187i | −0.0304931 | − | 0.999535i | \(-0.509708\pi\) |
0.514737 | + | 0.857348i | \(0.327890\pi\) | |||||||
\(168\) | 0.841254 | + | 0.540641i | 0.0649041 | + | 0.0417113i | ||||
\(169\) | −5.28216 | + | 11.5663i | −0.406320 | + | 0.889717i | ||||
\(170\) | 1.60861 | − | 1.85643i | 0.123375 | − | 0.142382i | ||||
\(171\) | −0.544147 | + | 0.349702i | −0.0416120 | + | 0.0267424i | ||||
\(172\) | −0.550007 | − | 3.82538i | −0.0419376 | − | 0.291683i | ||||
\(173\) | −0.445673 | − | 3.09972i | −0.0338839 | − | 0.235667i | 0.965841 | − | 0.259137i | \(-0.0834380\pi\) |
−0.999725 | + | 0.0234691i | \(0.992529\pi\) | |||||||
\(174\) | −6.06389 | + | 3.89702i | −0.459702 | + | 0.295433i | ||||
\(175\) | 1.78562 | − | 2.06071i | 0.134980 | − | 0.155775i | ||||
\(176\) | 1.90006 | − | 4.16056i | 0.143223 | − | 0.313614i | ||||
\(177\) | 9.57690 | + | 6.15470i | 0.719844 | + | 0.462616i | ||||
\(178\) | 9.18814 | − | 2.69788i | 0.688680 | − | 0.202215i | ||||
\(179\) | −15.0133 | − | 17.3263i | −1.12215 | − | 1.29503i | −0.950796 | − | 0.309817i | \(-0.899732\pi\) |
−0.171351 | − | 0.985210i | \(-0.554813\pi\) | |||||||
\(180\) | −1.44667 | − | 0.424780i | −0.107828 | − | 0.0316613i | ||||
\(181\) | −5.61319 | − | 12.2912i | −0.417225 | − | 0.913596i | −0.995229 | − | 0.0975621i | \(-0.968896\pi\) |
0.578004 | − | 0.816034i | \(-0.303832\pi\) | |||||||
\(182\) | −0.0759239 | + | 0.528062i | −0.00562785 | + | 0.0391426i | ||||
\(183\) | 3.63336 | 0.268586 | ||||||||
\(184\) | −4.60076 | − | 1.35389i | −0.339173 | − | 0.0998099i | ||||
\(185\) | 2.41039 | 0.177216 | ||||||||
\(186\) | −0.101749 | + | 0.707676i | −0.00746056 | + | 0.0518894i | ||||
\(187\) | −3.09558 | − | 6.77838i | −0.226372 | − | 0.495685i | ||||
\(188\) | −9.15670 | − | 2.68865i | −0.667821 | − | 0.196090i | ||||
\(189\) | −0.654861 | − | 0.755750i | −0.0476341 | − | 0.0549727i | ||||
\(190\) | 0.935747 | − | 0.274760i | 0.0678862 | − | 0.0199332i | ||||
\(191\) | −14.9036 | − | 9.57793i | −1.07838 | − | 0.693035i | −0.124200 | − | 0.992257i | \(-0.539636\pi\) |
−0.954183 | + | 0.299222i | \(0.903273\pi\) | |||||||
\(192\) | 0.415415 | − | 0.909632i | 0.0299800 | − | 0.0656470i | ||||
\(193\) | −5.12103 | + | 5.90998i | −0.368620 | + | 0.425410i | −0.909509 | − | 0.415684i | \(-0.863542\pi\) |
0.540889 | + | 0.841094i | \(0.318088\pi\) | |||||||
\(194\) | −8.09492 | + | 5.20229i | −0.581182 | + | 0.373503i | ||||
\(195\) | −0.114474 | − | 0.796182i | −0.00819763 | − | 0.0570158i | ||||
\(196\) | −0.142315 | − | 0.989821i | −0.0101653 | − | 0.0707015i | ||||
\(197\) | 9.92101 | − | 6.37585i | 0.706843 | − | 0.454260i | −0.137195 | − | 0.990544i | \(-0.543809\pi\) |
0.844038 | + | 0.536284i | \(0.180172\pi\) | |||||||
\(198\) | −2.99526 | + | 3.45672i | −0.212864 | + | 0.245658i | ||||
\(199\) | 1.22926 | − | 2.69170i | 0.0871397 | − | 0.190809i | −0.861045 | − | 0.508528i | \(-0.830190\pi\) |
0.948185 | + | 0.317719i | \(0.102917\pi\) | |||||||
\(200\) | −2.29385 | − | 1.47417i | −0.162200 | − | 0.104240i | ||||
\(201\) | −1.87039 | + | 0.549197i | −0.131927 | + | 0.0387374i | ||||
\(202\) | 3.30032 | + | 3.80878i | 0.232210 | + | 0.267985i | ||||
\(203\) | 6.91617 | + | 2.03077i | 0.485420 | + | 0.142532i | ||||
\(204\) | −0.676794 | − | 1.48197i | −0.0473851 | − | 0.103759i | ||||
\(205\) | −0.227063 | + | 1.57926i | −0.0158588 | + | 0.110300i | ||||
\(206\) | −2.89926 | −0.202001 | ||||||||
\(207\) | 4.03296 | + | 2.59523i | 0.280310 | + | 0.180381i | ||||
\(208\) | 0.533492 | 0.0369910 | ||||||||
\(209\) | 0.421042 | − | 2.92841i | 0.0291241 | − | 0.202563i | ||||
\(210\) | 0.626339 | + | 1.37149i | 0.0432215 | + | 0.0946419i | ||||
\(211\) | −3.79365 | − | 1.11391i | −0.261165 | − | 0.0766851i | 0.148529 | − | 0.988908i | \(-0.452546\pi\) |
−0.409694 | + | 0.912223i | \(0.634364\pi\) | |||||||
\(212\) | 2.13779 | + | 2.46714i | 0.146824 | + | 0.169444i | ||||
\(213\) | −0.614177 | + | 0.180339i | −0.0420827 | + | 0.0123566i | ||||
\(214\) | 8.12494 | + | 5.22158i | 0.555409 | + | 0.356940i | ||||
\(215\) | 2.42062 | − | 5.30043i | 0.165085 | − | 0.361486i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | 0.601457 | − | 0.386533i | 0.0408296 | − | 0.0262396i | ||||
\(218\) | −2.30406 | − | 16.0251i | −0.156050 | − | 1.08535i | ||||
\(219\) | −0.614148 | − | 4.27149i | −0.0415002 | − | 0.288641i | ||||
\(220\) | 5.80150 | − | 3.72840i | 0.391137 | − | 0.251369i | ||||
\(221\) | 0.569182 | − | 0.656871i | 0.0382873 | − | 0.0441859i | ||||
\(222\) | 0.664114 | − | 1.45421i | 0.0445724 | − | 0.0976000i | ||||
\(223\) | 19.1269 | + | 12.2921i | 1.28083 | + | 0.823139i | 0.990990 | − | 0.133937i | \(-0.0427619\pi\) |
0.289839 | + | 0.957075i | \(0.406398\pi\) | |||||||
\(224\) | −0.959493 | + | 0.281733i | −0.0641088 | + | 0.0188240i | ||||
\(225\) | 1.78562 | + | 2.06071i | 0.119041 | + | 0.137381i | ||||
\(226\) | −12.6245 | − | 3.70690i | −0.839772 | − | 0.246579i | ||||
\(227\) | −10.0037 | − | 21.9050i | −0.663967 | − | 1.45389i | −0.878778 | − | 0.477230i | \(-0.841641\pi\) |
0.214811 | − | 0.976656i | \(-0.431087\pi\) | |||||||
\(228\) | 0.0920533 | − | 0.640245i | 0.00609638 | − | 0.0424013i | ||||
\(229\) | 2.23044 | 0.147392 | 0.0736959 | − | 0.997281i | \(-0.476521\pi\) | ||||
0.0736959 | + | 0.997281i | \(0.476521\pi\) | |||||||
\(230\) | −4.73196 | − | 5.46756i | −0.312016 | − | 0.360520i | ||||
\(231\) | 4.57389 | 0.300940 | ||||||||
\(232\) | 1.02583 | − | 7.13479i | 0.0673489 | − | 0.468422i | ||||
\(233\) | 6.32183 | + | 13.8429i | 0.414157 | + | 0.906877i | 0.995637 | + | 0.0933160i | \(0.0297467\pi\) |
−0.581480 | + | 0.813561i | \(0.697526\pi\) | |||||||
\(234\) | −0.511882 | − | 0.150302i | −0.0334628 | − | 0.00982556i | ||||
\(235\) | −9.42266 | − | 10.8743i | −0.614667 | − | 0.709363i | ||||
\(236\) | −10.9229 | + | 3.20727i | −0.711023 | + | 0.208775i | ||||
\(237\) | −3.05452 | − | 1.96302i | −0.198412 | − | 0.127512i | ||||
\(238\) | −0.676794 | + | 1.48197i | −0.0438700 | + | 0.0960620i | ||||
\(239\) | −16.1399 | + | 18.6265i | −1.04401 | + | 1.20485i | −0.0656668 | + | 0.997842i | \(0.520917\pi\) |
−0.978340 | + | 0.207006i | \(0.933628\pi\) | |||||||
\(240\) | 1.26839 | − | 0.815148i | 0.0818745 | − | 0.0526176i | ||||
\(241\) | 0.485748 | + | 3.37845i | 0.0312898 | + | 0.217625i | 0.999467 | − | 0.0326397i | \(-0.0103914\pi\) |
−0.968177 | + | 0.250265i | \(0.919482\pi\) | |||||||
\(242\) | −1.41184 | − | 9.81953i | −0.0907562 | − | 0.631224i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | −2.37935 | + | 2.74591i | −0.152322 | + | 0.175789i | ||||
\(245\) | 0.626339 | − | 1.37149i | 0.0400153 | − | 0.0876214i | ||||
\(246\) | 0.890217 | + | 0.572108i | 0.0567581 | + | 0.0364762i | ||||
\(247\) | 0.331100 | − | 0.0972197i | 0.0210674 | − | 0.00618594i | ||||
\(248\) | −0.468195 | − | 0.540326i | −0.0297304 | − | 0.0343107i | ||||
\(249\) | −4.24321 | − | 1.24592i | −0.268903 | − | 0.0789570i | ||||
\(250\) | −4.83954 | − | 10.5971i | −0.306079 | − | 0.670221i | ||||
\(251\) | −3.75663 | + | 26.1279i | −0.237116 | + | 1.64918i | 0.428981 | + | 0.903313i | \(0.358873\pi\) |
−0.666097 | + | 0.745865i | \(0.732036\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | −21.0508 | + | 6.16742i | −1.32345 | + | 0.387743i | ||||
\(254\) | 5.13533 | 0.322219 | ||||||||
\(255\) | 0.349584 | − | 2.43141i | 0.0218918 | − | 0.152261i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −10.8096 | − | 3.17399i | −0.674286 | − | 0.197988i | −0.0733752 | − | 0.997304i | \(-0.523377\pi\) |
−0.600911 | + | 0.799316i | \(0.705195\pi\) | |||||||
\(258\) | −2.53085 | − | 2.92076i | −0.157564 | − | 0.181838i | ||||
\(259\) | −1.53392 | + | 0.450399i | −0.0953131 | + | 0.0279864i | ||||
\(260\) | 0.676679 | + | 0.434875i | 0.0419658 | + | 0.0269698i | ||||
\(261\) | −2.99438 | + | 6.55677i | −0.185347 | + | 0.405854i | ||||
\(262\) | −0.0693582 | + | 0.0800436i | −0.00428496 | + | 0.00494511i | ||||
\(263\) | −1.69625 | + | 1.09012i | −0.104596 | + | 0.0672195i | −0.591893 | − | 0.806017i | \(-0.701619\pi\) |
0.487297 | + | 0.873236i | \(0.337983\pi\) | |||||||
\(264\) | −0.650933 | − | 4.52734i | −0.0400622 | − | 0.278638i | ||||
\(265\) | 0.700477 | + | 4.87192i | 0.0430299 | + | 0.299280i | ||||
\(266\) | −0.544147 | + | 0.349702i | −0.0333638 | + | 0.0214416i | ||||
\(267\) | 6.27097 | − | 7.23708i | 0.383777 | − | 0.442902i | ||||
\(268\) | 0.809792 | − | 1.77320i | 0.0494659 | − | 0.108315i | ||||
\(269\) | −2.96607 | − | 1.90618i | −0.180845 | − | 0.116222i | 0.447086 | − | 0.894491i | \(-0.352462\pi\) |
−0.627931 | + | 0.778269i | \(0.716098\pi\) | |||||||
\(270\) | −1.44667 | + | 0.424780i | −0.0880415 | + | 0.0258513i | ||||
\(271\) | −2.79957 | − | 3.23087i | −0.170061 | − | 0.196261i | 0.664321 | − | 0.747448i | \(-0.268721\pi\) |
−0.834382 | + | 0.551186i | \(0.814175\pi\) | |||||||
\(272\) | 1.56321 | + | 0.458999i | 0.0947833 | + | 0.0278309i | ||||
\(273\) | 0.221621 | + | 0.485282i | 0.0134131 | + | 0.0293706i | ||||
\(274\) | 1.40925 | − | 9.80152i | 0.0851357 | − | 0.592132i | ||||
\(275\) | −12.4717 | −0.752071 | ||||||||
\(276\) | −4.60237 | + | 1.34840i | −0.277030 | + | 0.0811639i | ||||
\(277\) | −1.72957 | −0.103920 | −0.0519599 | − | 0.998649i | \(-0.516547\pi\) | ||||
−0.0519599 | + | 0.998649i | \(0.516547\pi\) | |||||||
\(278\) | −2.23281 | + | 15.5296i | −0.133915 | + | 0.931401i | ||||
\(279\) | 0.297002 | + | 0.650345i | 0.0177811 | + | 0.0389351i | ||||
\(280\) | −1.44667 | − | 0.424780i | −0.0864550 | − | 0.0253855i | ||||
\(281\) | 16.7460 | + | 19.3260i | 0.998985 | + | 1.15289i | 0.988234 | + | 0.152948i | \(0.0488768\pi\) |
0.0107510 | + | 0.999942i | \(0.496578\pi\) | |||||||
\(282\) | −9.15670 | + | 2.68865i | −0.545273 | + | 0.160107i | ||||
\(283\) | 14.2895 | + | 9.18332i | 0.849424 | + | 0.545892i | 0.891395 | − | 0.453227i | \(-0.149727\pi\) |
−0.0419709 | + | 0.999119i | \(0.513364\pi\) | |||||||
\(284\) | 0.265910 | − | 0.582261i | 0.0157788 | − | 0.0345508i | ||||
\(285\) | 0.638654 | − | 0.737046i | 0.0378306 | − | 0.0436588i | ||||
\(286\) | 2.05277 | − | 1.31924i | 0.121383 | − | 0.0780082i | ||||
\(287\) | −0.150598 | − | 1.04743i | −0.00888951 | − | 0.0618279i | ||||
\(288\) | −0.142315 | − | 0.989821i | −0.00838598 | − | 0.0583258i | ||||
\(289\) | −12.0684 | + | 7.75588i | −0.709905 | + | 0.456228i | ||||
\(290\) | 7.11706 | − | 8.21352i | 0.417928 | − | 0.482315i | ||||
\(291\) | −3.99731 | + | 8.75289i | −0.234327 | + | 0.513104i | ||||
\(292\) | 3.63036 | + | 2.33309i | 0.212451 | + | 0.136534i | ||||
\(293\) | −4.68431 | + | 1.37544i | −0.273660 | + | 0.0803539i | −0.415683 | − | 0.909509i | \(-0.636457\pi\) |
0.142023 | + | 0.989863i | \(0.454639\pi\) | |||||||
\(294\) | −0.654861 | − | 0.755750i | −0.0381923 | − | 0.0440762i | ||||
\(295\) | −16.4690 | − | 4.83574i | −0.958862 | − | 0.281547i | ||||
\(296\) | 0.664114 | + | 1.45421i | 0.0386009 | + | 0.0845241i | ||||
\(297\) | −0.650933 | + | 4.52734i | −0.0377710 | + | 0.262703i | ||||
\(298\) | 13.3180 | 0.771493 | ||||||||
\(299\) | −1.67433 | − | 1.93461i | −0.0968292 | − | 0.111882i | ||||
\(300\) | −2.72671 | −0.157427 | ||||||||
\(301\) | −0.550007 | + | 3.82538i | −0.0317019 | + | 0.220491i | ||||
\(302\) | 5.63620 | + | 12.3416i | 0.324327 | + | 0.710176i | ||||
\(303\) | 4.83559 | + | 1.41986i | 0.277797 | + | 0.0815687i | ||||
\(304\) | 0.423583 | + | 0.488841i | 0.0242941 | + | 0.0280369i | ||||
\(305\) | −5.25627 | + | 1.54338i | −0.300973 | + | 0.0883737i | ||||
\(306\) | −1.37057 | − | 0.880812i | −0.0783503 | − | 0.0503527i | ||||
\(307\) | 0.748246 | − | 1.63843i | 0.0427046 | − | 0.0935101i | −0.887077 | − | 0.461621i | \(-0.847268\pi\) |
0.929782 | + | 0.368111i | \(0.119995\pi\) | |||||||
\(308\) | −2.99526 | + | 3.45672i | −0.170671 | + | 0.196965i | ||||
\(309\) | −2.43901 | + | 1.56746i | −0.138751 | + | 0.0891696i | ||||
\(310\) | −0.153411 | − | 1.06699i | −0.00871314 | − | 0.0606012i | ||||
\(311\) | −2.11992 | − | 14.7443i | −0.120209 | − | 0.836075i | −0.957318 | − | 0.289038i | \(-0.906665\pi\) |
0.837108 | − | 0.547037i | \(-0.184244\pi\) | |||||||
\(312\) | 0.448802 | − | 0.288428i | 0.0254084 | − | 0.0163290i | ||||
\(313\) | −3.86487 | + | 4.46030i | −0.218456 | + | 0.252111i | −0.854390 | − | 0.519632i | \(-0.826069\pi\) |
0.635935 | + | 0.771743i | \(0.280615\pi\) | |||||||
\(314\) | −0.480655 | + | 1.05249i | −0.0271249 | + | 0.0593954i | ||||
\(315\) | 1.26839 | + | 0.815148i | 0.0714659 | + | 0.0459284i | ||||
\(316\) | 3.48384 | − | 1.02295i | 0.195981 | − | 0.0575452i | ||||
\(317\) | 0.689457 | + | 0.795675i | 0.0387237 | + | 0.0446896i | 0.774781 | − | 0.632230i | \(-0.217860\pi\) |
−0.736057 | + | 0.676919i | \(0.763315\pi\) | |||||||
\(318\) | 3.13226 | + | 0.919715i | 0.175648 | + | 0.0515750i | ||||
\(319\) | −13.6960 | − | 29.9900i | −0.766827 | − | 1.67912i | ||||
\(320\) | −0.214574 | + | 1.49240i | −0.0119951 | + | 0.0834275i | ||||
\(321\) | 9.65813 | 0.539064 | ||||||||
\(322\) | 4.03296 | + | 2.59523i | 0.224748 | + | 0.144626i | ||||
\(323\) | 1.05381 | 0.0586357 | ||||||||
\(324\) | −0.142315 | + | 0.989821i | −0.00790638 | + | 0.0549901i | ||||
\(325\) | −0.604295 | − | 1.32322i | −0.0335203 | − | 0.0733991i | ||||
\(326\) | 0.205561 | + | 0.0603582i | 0.0113850 | + | 0.00334293i | ||||
\(327\) | −10.6021 | − | 12.2355i | −0.586297 | − | 0.676623i | ||||
\(328\) | −1.01534 | + | 0.298130i | −0.0560627 | + | 0.0164615i | ||||
\(329\) | 8.02831 | + | 5.15948i | 0.442615 | + | 0.284451i | ||||
\(330\) | 2.86481 | − | 6.27306i | 0.157703 | − | 0.345320i | ||||
\(331\) | 1.88145 | − | 2.17131i | 0.103414 | − | 0.119346i | −0.701683 | − | 0.712489i | \(-0.747568\pi\) |
0.805097 | + | 0.593143i | \(0.202113\pi\) | |||||||
\(332\) | 3.72032 | − | 2.39090i | 0.204179 | − | 0.131218i | ||||
\(333\) | −0.227515 | − | 1.58240i | −0.0124678 | − | 0.0867152i | ||||
\(334\) | 0.928177 | + | 6.45561i | 0.0507876 | + | 0.353235i | ||||
\(335\) | 2.47255 | − | 1.58901i | 0.135090 | − | 0.0868170i | ||||
\(336\) | −0.654861 | + | 0.755750i | −0.0357256 | + | 0.0412295i | ||||
\(337\) | −8.10377 | + | 17.7448i | −0.441440 | + | 0.966620i | 0.549891 | + | 0.835236i | \(0.314669\pi\) |
−0.991332 | + | 0.131383i | \(0.958058\pi\) | |||||||
\(338\) | −10.6969 | − | 6.87446i | −0.581833 | − | 0.373921i | ||||
\(339\) | −12.6245 | + | 3.70690i | −0.685671 | + | 0.201331i | ||||
\(340\) | 1.60861 | + | 1.85643i | 0.0872391 | + | 0.100679i | ||||
\(341\) | −3.13766 | − | 0.921300i | −0.169914 | − | 0.0498912i | ||||
\(342\) | −0.268702 | − | 0.588376i | −0.0145298 | − | 0.0318157i | ||||
\(343\) | −0.142315 | + | 0.989821i | −0.00768428 | + | 0.0534453i | ||||
\(344\) | 3.86472 | 0.208372 | ||||||||
\(345\) | −6.93677 | − | 2.04131i | −0.373463 | − | 0.109901i | ||||
\(346\) | 3.13160 | 0.168356 | ||||||||
\(347\) | 1.78380 | − | 12.4066i | 0.0957594 | − | 0.666022i | −0.884242 | − | 0.467030i | \(-0.845324\pi\) |
0.980001 | − | 0.198992i | \(-0.0637668\pi\) | |||||||
\(348\) | −2.99438 | − | 6.55677i | −0.160515 | − | 0.351480i | ||||
\(349\) | 24.7554 | + | 7.26884i | 1.32513 | + | 0.389092i | 0.866340 | − | 0.499455i | \(-0.166466\pi\) |
0.458785 | + | 0.888547i | \(0.348285\pi\) | |||||||
\(350\) | 1.78562 | + | 2.06071i | 0.0954451 | + | 0.110150i | ||||
\(351\) | −0.511882 | + | 0.150302i | −0.0273222 | + | 0.00802253i | ||||
\(352\) | 3.84780 | + | 2.47283i | 0.205089 | + | 0.131802i | ||||
\(353\) | −10.9776 | + | 24.0376i | −0.584280 | + | 1.27939i | 0.354558 | + | 0.935034i | \(0.384631\pi\) |
−0.938838 | + | 0.344360i | \(0.888096\pi\) | |||||||
\(354\) | −7.45499 | + | 8.60352i | −0.396228 | + | 0.457272i | ||||
\(355\) | 0.811907 | − | 0.521781i | 0.0430915 | − | 0.0276932i | ||||
\(356\) | 1.36281 | + | 9.47856i | 0.0722289 | + | 0.502363i | ||||
\(357\) | 0.231859 | + | 1.61262i | 0.0122713 | + | 0.0853487i | ||||
\(358\) | 19.2865 | − | 12.3947i | 1.01933 | − | 0.655081i | ||||
\(359\) | 8.48695 | − | 9.79447i | 0.447924 | − | 0.516932i | −0.486216 | − | 0.873839i | \(-0.661623\pi\) |
0.934140 | + | 0.356907i | \(0.116169\pi\) | |||||||
\(360\) | 0.626339 | − | 1.37149i | 0.0330110 | − | 0.0722840i | ||||
\(361\) | −15.6318 | − | 10.0460i | −0.822729 | − | 0.528736i | ||||
\(362\) | 12.9649 | − | 3.80684i | 0.681421 | − | 0.200083i | ||||
\(363\) | −6.49655 | − | 7.49742i | −0.340981 | − | 0.393513i | ||||
\(364\) | −0.511882 | − | 0.150302i | −0.0268299 | − | 0.00787797i | ||||
\(365\) | 2.70291 | + | 5.91856i | 0.141477 | + | 0.309791i | ||||
\(366\) | −0.517081 | + | 3.59638i | −0.0270283 | + | 0.187986i | ||||
\(367\) | 30.5314 | 1.59372 | 0.796862 | − | 0.604162i | \(-0.206492\pi\) | ||||
0.796862 | + | 0.604162i | \(0.206492\pi\) | |||||||
\(368\) | 1.99486 | − | 4.36125i | 0.103989 | − | 0.227346i | ||||
\(369\) | 1.05820 | 0.0550878 | ||||||||
\(370\) | −0.343035 | + | 2.38586i | −0.0178335 | + | 0.124035i | ||||
\(371\) | −1.35612 | − | 2.96949i | −0.0704063 | − | 0.154168i | ||||
\(372\) | −0.685993 | − | 0.201426i | −0.0355671 | − | 0.0104434i | ||||
\(373\) | 16.0353 | + | 18.5057i | 0.830276 | + | 0.958190i | 0.999625 | − | 0.0273663i | \(-0.00871206\pi\) |
−0.169349 | + | 0.985556i | \(0.554167\pi\) | |||||||
\(374\) | 7.14994 | − | 2.09941i | 0.369715 | − | 0.108558i | ||||
\(375\) | −9.80052 | − | 6.29841i | −0.506096 | − | 0.325248i | ||||
\(376\) | 3.96442 | − | 8.68086i | 0.204449 | − | 0.447681i | ||||
\(377\) | 2.51826 | − | 2.90623i | 0.129697 | − | 0.149679i | ||||
\(378\) | 0.841254 | − | 0.540641i | 0.0432694 | − | 0.0278076i | ||||
\(379\) | −2.56369 | − | 17.8309i | −0.131688 | − | 0.915909i | −0.943354 | − | 0.331788i | \(-0.892348\pi\) |
0.811666 | − | 0.584122i | \(-0.198561\pi\) | |||||||
\(380\) | 0.138793 | + | 0.965325i | 0.00711992 | + | 0.0495201i | ||||
\(381\) | 4.32011 | − | 2.77637i | 0.221326 | − | 0.142238i | ||||
\(382\) | 11.6014 | − | 13.3888i | 0.593581 | − | 0.685029i | ||||
\(383\) | −15.7539 | + | 34.4962i | −0.804986 | + | 1.76267i | −0.177378 | + | 0.984143i | \(0.556761\pi\) |
−0.627608 | + | 0.778530i | \(0.715966\pi\) | |||||||
\(384\) | 0.841254 | + | 0.540641i | 0.0429300 | + | 0.0275895i | ||||
\(385\) | −6.61691 | + | 1.94290i | −0.337229 | + | 0.0990194i | ||||
\(386\) | −5.12103 | − | 5.90998i | −0.260653 | − | 0.300810i | ||||
\(387\) | −3.70817 | − | 1.08882i | −0.188497 | − | 0.0553477i | ||||
\(388\) | −3.99731 | − | 8.75289i | −0.202933 | − | 0.444361i | ||||
\(389\) | 1.16053 | − | 8.07165i | 0.0588411 | − | 0.409249i | −0.939019 | − | 0.343865i | \(-0.888264\pi\) |
0.997860 | − | 0.0653838i | \(-0.0208272\pi\) | |||||||
\(390\) | 0.804369 | 0.0407308 | ||||||||
\(391\) | −3.24155 | − | 7.10922i | −0.163932 | − | 0.359529i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −0.0150730 | + | 0.104835i | −0.000760331 | + | 0.00528822i | ||||
\(394\) | 4.89904 | + | 10.7274i | 0.246810 | + | 0.540439i | ||||
\(395\) | 5.25273 | + | 1.54234i | 0.264294 | + | 0.0776036i | ||||
\(396\) | −2.99526 | − | 3.45672i | −0.150518 | − | 0.173707i | ||||
\(397\) | −14.3751 | + | 4.22090i | −0.721463 | + | 0.211841i | −0.621795 | − | 0.783180i | \(-0.713596\pi\) |
−0.0996682 | + | 0.995021i | \(0.531778\pi\) | |||||||
\(398\) | 2.48936 | + | 1.59981i | 0.124780 | + | 0.0801914i | ||||
\(399\) | −0.268702 | + | 0.588376i | −0.0134519 | + | 0.0294556i | ||||
\(400\) | 1.78562 | − | 2.06071i | 0.0892808 | − | 0.103035i | ||||
\(401\) | −16.7450 | + | 10.7613i | −0.836203 | + | 0.537395i | −0.887244 | − | 0.461301i | \(-0.847383\pi\) |
0.0510401 | + | 0.998697i | \(0.483746\pi\) | |||||||
\(402\) | −0.277422 | − | 1.92951i | −0.0138366 | − | 0.0962354i | ||||
\(403\) | −0.0542820 | − | 0.377540i | −0.00270398 | − | 0.0188066i | ||||
\(404\) | −4.23970 | + | 2.72469i | −0.210933 | + | 0.135558i | ||||
\(405\) | −0.987362 | + | 1.13948i | −0.0490624 | + | 0.0566210i | ||||
\(406\) | −2.99438 | + | 6.55677i | −0.148608 | + | 0.325407i | ||||
\(407\) | 6.15140 | + | 3.95326i | 0.304913 | + | 0.195956i | ||||
\(408\) | 1.56321 | − | 0.458999i | 0.0773902 | − | 0.0227238i | ||||
\(409\) | 22.4127 | + | 25.8656i | 1.10824 | + | 1.27897i | 0.956877 | + | 0.290493i | \(0.0938192\pi\) |
0.151358 | + | 0.988479i | \(0.451635\pi\) | |||||||
\(410\) | −1.53087 | − | 0.449504i | −0.0756042 | − | 0.0221994i | ||||
\(411\) | −4.11357 | − | 9.00746i | −0.202907 | − | 0.444305i | ||||
\(412\) | 0.412608 | − | 2.86975i | 0.0203277 | − | 0.141382i | ||||
\(413\) | 11.3841 | 0.560174 | ||||||||
\(414\) | −3.14276 | + | 3.62257i | −0.154458 | + | 0.178040i | ||||
\(415\) | 6.66777 | 0.327308 | ||||||||
\(416\) | −0.0759239 | + | 0.528062i | −0.00372247 | + | 0.0258904i | ||||
\(417\) | 6.51755 | + | 14.2714i | 0.319166 | + | 0.698876i | ||||
\(418\) | 2.83869 | + | 0.833513i | 0.138845 | + | 0.0407685i | ||||
\(419\) | 20.9596 | + | 24.1887i | 1.02395 | + | 1.18170i | 0.983201 | + | 0.182526i | \(0.0584274\pi\) |
0.0407441 | + | 0.999170i | \(0.487027\pi\) | |||||||
\(420\) | −1.44667 | + | 0.424780i | −0.0705902 | + | 0.0207272i | ||||
\(421\) | −4.09261 | − | 2.63016i | −0.199462 | − | 0.128186i | 0.437097 | − | 0.899414i | \(-0.356006\pi\) |
−0.636559 | + | 0.771228i | \(0.719643\pi\) | |||||||
\(422\) | 1.64247 | − | 3.59651i | 0.0799541 | − | 0.175075i | ||||
\(423\) | −6.24951 | + | 7.21232i | −0.303862 | + | 0.350675i | ||||
\(424\) | −2.74627 | + | 1.76492i | −0.133371 | + | 0.0857121i | ||||
\(425\) | −0.632213 | − | 4.39714i | −0.0306668 | − | 0.213293i | ||||
\(426\) | −0.0910965 | − | 0.633590i | −0.00441364 | − | 0.0306976i | ||||
\(427\) | 3.05658 | − | 1.96434i | 0.147918 | − | 0.0950613i | ||||
\(428\) | −6.32473 | + | 7.29913i | −0.305717 | + | 0.352817i | ||||
\(429\) | 1.01367 | − | 2.21963i | 0.0489404 | − | 0.107165i | ||||
\(430\) | 4.90199 | + | 3.15032i | 0.236395 | + | 0.151922i | ||||
\(431\) | −0.206741 | + | 0.0607045i | −0.00995835 | + | 0.00292403i | −0.286708 | − | 0.958018i | \(-0.592561\pi\) |
0.276750 | + | 0.960942i | \(0.410743\pi\) | |||||||
\(432\) | −0.654861 | − | 0.755750i | −0.0315070 | − | 0.0363610i | ||||
\(433\) | 14.1181 | + | 4.14545i | 0.678473 | + | 0.199218i | 0.602773 | − | 0.797913i | \(-0.294063\pi\) |
0.0757001 | + | 0.997131i | \(0.475881\pi\) | |||||||
\(434\) | 0.297002 | + | 0.650345i | 0.0142566 | + | 0.0312175i | ||||
\(435\) | 1.54668 | − | 10.7574i | 0.0741579 | − | 0.515779i | ||||
\(436\) | 16.1898 | 0.775353 | ||||||||
\(437\) | 0.443304 | − | 3.07024i | 0.0212061 | − | 0.146870i | ||||
\(438\) | 4.31541 | 0.206198 | ||||||||
\(439\) | 0.333745 | − | 2.32125i | 0.0159288 | − | 0.110787i | −0.980306 | − | 0.197485i | \(-0.936722\pi\) |
0.996235 | + | 0.0866982i | \(0.0276316\pi\) | |||||||
\(440\) | 2.86481 | + | 6.27306i | 0.136574 | + | 0.299056i | ||||
\(441\) | −0.959493 | − | 0.281733i | −0.0456901 | − | 0.0134158i | ||||
\(442\) | 0.569182 | + | 0.656871i | 0.0270732 | + | 0.0312442i | ||||
\(443\) | 38.0138 | − | 11.1619i | 1.80609 | − | 0.530316i | 0.807839 | − | 0.589404i | \(-0.200637\pi\) |
0.998253 | + | 0.0590876i | \(0.0188191\pi\) | |||||||
\(444\) | 1.34489 | + | 0.864310i | 0.0638258 | + | 0.0410183i | ||||
\(445\) | −5.99785 | + | 13.1335i | −0.284325 | + | 0.622585i | ||||
\(446\) | −14.8890 | + | 17.1828i | −0.705015 | + | 0.813630i | ||||
\(447\) | 11.2038 | − | 7.20028i | 0.529924 | − | 0.340561i | ||||
\(448\) | −0.142315 | − | 0.989821i | −0.00672374 | − | 0.0467647i | ||||
\(449\) | 3.46994 | + | 24.1340i | 0.163757 | + | 1.13895i | 0.891473 | + | 0.453074i | \(0.149673\pi\) |
−0.727716 | + | 0.685878i | \(0.759418\pi\) | |||||||
\(450\) | −2.29385 | + | 1.47417i | −0.108133 | + | 0.0694931i | ||||
\(451\) | −3.16960 | + | 3.65791i | −0.149250 | + | 0.172244i | ||||
\(452\) | 5.46583 | − | 11.9685i | 0.257091 | − | 0.562951i | ||||
\(453\) | 11.4138 | + | 7.33522i | 0.536268 | + | 0.344638i | ||||
\(454\) | 23.1057 | − | 6.78445i | 1.08440 | − | 0.318410i | ||||
\(455\) | −0.526750 | − | 0.607902i | −0.0246944 | − | 0.0284989i | ||||
\(456\) | 0.620628 | + | 0.182233i | 0.0290636 | + | 0.00853383i | ||||
\(457\) | −6.39482 | − | 14.0027i | −0.299137 | − | 0.655019i | 0.699059 | − | 0.715064i | \(-0.253603\pi\) |
−0.998196 | + | 0.0600455i | \(0.980875\pi\) | |||||||
\(458\) | −0.317425 | + | 2.20774i | −0.0148323 | + | 0.103161i | ||||
\(459\) | −1.62920 | −0.0760445 | ||||||||
\(460\) | 6.08534 | − | 3.90568i | 0.283730 | − | 0.182103i | ||||
\(461\) | 35.9148 | 1.67272 | 0.836361 | − | 0.548180i | \(-0.184679\pi\) | ||||
0.836361 | + | 0.548180i | \(0.184679\pi\) | |||||||
\(462\) | −0.650933 | + | 4.52734i | −0.0302841 | + | 0.210631i | ||||
\(463\) | −6.62693 | − | 14.5110i | −0.307980 | − | 0.674381i | 0.690837 | − | 0.723010i | \(-0.257242\pi\) |
−0.998817 | + | 0.0486291i | \(0.984515\pi\) | |||||||
\(464\) | 6.91617 | + | 2.03077i | 0.321075 | + | 0.0942762i | ||||
\(465\) | −0.705918 | − | 0.814673i | −0.0327362 | − | 0.0377795i | ||||
\(466\) | −14.6017 | + | 4.28744i | −0.676409 | + | 0.198612i | ||||
\(467\) | 13.7413 | + | 8.83101i | 0.635873 | + | 0.408651i | 0.818480 | − | 0.574535i | \(-0.194817\pi\) |
−0.182607 | + | 0.983186i | \(0.558454\pi\) | |||||||
\(468\) | 0.221621 | − | 0.485282i | 0.0102444 | − | 0.0224321i | ||||
\(469\) | −1.27656 | + | 1.47322i | −0.0589459 | + | 0.0680272i | ||||
\(470\) | 12.1046 | − | 7.77917i | 0.558345 | − | 0.358826i | ||||
\(471\) | 0.164665 | + | 1.14527i | 0.00758737 | + | 0.0527713i | ||||
\(472\) | −1.62012 | − | 11.2682i | −0.0745722 | − | 0.518661i | ||||
\(473\) | 14.8707 | − | 9.55681i | 0.683755 | − | 0.439422i | ||||
\(474\) | 2.37774 | − | 2.74406i | 0.109213 | − | 0.126039i | ||||
\(475\) | 0.732673 | − | 1.60433i | 0.0336174 | − | 0.0736117i | ||||
\(476\) | −1.37057 | − | 0.880812i | −0.0628200 | − | 0.0403719i | ||||
\(477\) | 3.13226 | − | 0.919715i | 0.143416 | − | 0.0421108i | ||||
\(478\) | −16.1399 | − | 18.6265i | −0.738224 | − | 0.851956i | ||||
\(479\) | 3.96092 | + | 1.16303i | 0.180979 | + | 0.0531402i | 0.370966 | − | 0.928646i | \(-0.379027\pi\) |
−0.189987 | + | 0.981787i | \(0.560845\pi\) | |||||||
\(480\) | 0.626339 | + | 1.37149i | 0.0285883 | + | 0.0625997i | ||||
\(481\) | −0.121378 | + | 0.844200i | −0.00553435 | + | 0.0384922i | ||||
\(482\) | −3.41319 | −0.155467 | ||||||||
\(483\) | 4.79583 | + | 0.00286106i | 0.218218 | + | 0.000130183i | ||||
\(484\) | 9.92051 | 0.450932 | ||||||||
\(485\) | 2.06473 | − | 14.3605i | 0.0937546 | − | 0.652078i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | −13.2703 | − | 3.89650i | −0.601333 | − | 0.176567i | −0.0331236 | − | 0.999451i | \(-0.510546\pi\) |
−0.568210 | + | 0.822884i | \(0.692364\pi\) | |||||||
\(488\) | −2.37935 | − | 2.74591i | −0.107708 | − | 0.124302i | ||||
\(489\) | 0.205561 | − | 0.0603582i | 0.00929579 | − | 0.00272949i | ||||
\(490\) | 1.26839 | + | 0.815148i | 0.0573002 | + | 0.0368246i | ||||
\(491\) | −16.0103 | + | 35.0577i | −0.722536 | + | 1.58213i | 0.0877805 | + | 0.996140i | \(0.472023\pi\) |
−0.810316 | + | 0.585993i | \(0.800705\pi\) | |||||||
\(492\) | −0.692975 | + | 0.799736i | −0.0312417 | + | 0.0360549i | ||||
\(493\) | 9.87928 | − | 6.34903i | 0.444940 | − | 0.285946i | ||||
\(494\) | 0.0491097 | + | 0.341566i | 0.00220955 | + | 0.0153678i | ||||
\(495\) | −0.981440 | − | 6.82607i | −0.0441124 | − | 0.306809i | ||||
\(496\) | 0.601457 | − | 0.386533i | 0.0270062 | − | 0.0173558i | ||||
\(497\) | −0.419180 | + | 0.483760i | −0.0188028 | + | 0.0216996i | ||||
\(498\) | 1.83711 | − | 4.02271i | 0.0823229 | − | 0.180262i | ||||
\(499\) | 8.76983 | + | 5.63603i | 0.392592 | + | 0.252303i | 0.722013 | − | 0.691880i | \(-0.243217\pi\) |
−0.329421 | + | 0.944183i | \(0.606854\pi\) | |||||||
\(500\) | 11.1780 | − | 3.28215i | 0.499895 | − | 0.146782i | ||||
\(501\) | 4.27100 | + | 4.92900i | 0.190814 | + | 0.220211i | ||||
\(502\) | −25.3273 | − | 7.43678i | −1.13041 | − | 0.331920i | ||||
\(503\) | −2.39162 | − | 5.23693i | −0.106637 | − | 0.233503i | 0.848790 | − | 0.528731i | \(-0.177332\pi\) |
−0.955427 | + | 0.295228i | \(0.904605\pi\) | |||||||
\(504\) | −0.142315 | + | 0.989821i | −0.00633921 | + | 0.0440902i | ||||
\(505\) | −7.59863 | −0.338135 | ||||||||
\(506\) | −3.10881 | − | 21.7142i | −0.138204 | − | 0.965314i | ||||
\(507\) | −12.7154 | −0.564710 | ||||||||
\(508\) | −0.730833 | + | 5.08306i | −0.0324255 | + | 0.225524i | ||||
\(509\) | 12.4557 | + | 27.2742i | 0.552089 | + | 1.20891i | 0.955799 | + | 0.294020i | \(0.0949931\pi\) |
−0.403710 | + | 0.914887i | \(0.632280\pi\) | |||||||
\(510\) | 2.35691 | + | 0.692052i | 0.104366 | + | 0.0306446i | ||||
\(511\) | −2.82600 | − | 3.26137i | −0.125015 | − | 0.144275i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | −0.544147 | − | 0.349702i | −0.0240247 | − | 0.0154397i | ||||
\(514\) | 4.68005 | − | 10.2479i | 0.206428 | − | 0.452015i | ||||
\(515\) | 2.86262 | − | 3.30364i | 0.126142 | − | 0.145576i | ||||
\(516\) | 3.25121 | − | 2.08942i | 0.143126 | − | 0.0919818i | ||||
\(517\) | −6.21203 | − | 43.2056i | −0.273205 | − | 1.90018i | ||||
\(518\) | −0.227515 | − | 1.58240i | −0.00999645 | − | 0.0695269i | ||||
\(519\) | 2.63447 | − | 1.69307i | 0.115640 | − | 0.0743175i | ||||
\(520\) | −0.526750 | + | 0.607902i | −0.0230995 | + | 0.0266583i | ||||
\(521\) | −10.8985 | + | 23.8645i | −0.477473 | + | 1.04552i | 0.505677 | + | 0.862723i | \(0.331243\pi\) |
−0.983150 | + | 0.182798i | \(0.941485\pi\) | |||||||
\(522\) | −6.06389 | − | 3.89702i | −0.265409 | − | 0.170568i | ||||
\(523\) | 24.5779 | − | 7.21672i | 1.07472 | − | 0.315565i | 0.303953 | − | 0.952687i | \(-0.401693\pi\) |
0.770763 | + | 0.637122i | \(0.219875\pi\) | |||||||
\(524\) | −0.0693582 | − | 0.0800436i | −0.00302993 | − | 0.00349672i | ||||
\(525\) | 2.61626 | + | 0.768203i | 0.114183 | + | 0.0335271i | ||||
\(526\) | −0.837619 | − | 1.83413i | −0.0365219 | − | 0.0799718i | ||||
\(527\) | 0.165769 | − | 1.15295i | 0.00722100 | − | 0.0502231i | ||||
\(528\) | 4.57389 | 0.199053 | ||||||||
\(529\) | −22.0761 | + | 6.45351i | −0.959828 | + | 0.280588i | ||||
\(530\) | −4.92202 | −0.213799 | ||||||||
\(531\) | −1.62012 | + | 11.2682i | −0.0703074 | + | 0.488999i | ||||
\(532\) | −0.268702 | − | 0.588376i | −0.0116497 | − | 0.0255093i | ||||
\(533\) | −0.541675 | − | 0.159050i | −0.0234625 | − | 0.00688922i | ||||
\(534\) | 6.27097 | + | 7.23708i | 0.271371 | + | 0.313179i | ||||
\(535\) | −13.9721 | + | 4.10258i | −0.604067 | + | 0.177370i | ||||
\(536\) | 1.63990 | + | 1.05390i | 0.0708330 | + | 0.0455216i | ||||
\(537\) | 9.52379 | − | 20.8542i | 0.410982 | − | 0.899924i | ||||
\(538\) | 2.30889 | − | 2.66460i | 0.0995434 | − | 0.114879i | ||||
\(539\) | 3.84780 | − | 2.47283i | 0.165737 | − | 0.106513i | ||||
\(540\) | −0.214574 | − | 1.49240i | −0.00923381 | − | 0.0642225i | ||||
\(541\) | 0.391575 | + | 2.72346i | 0.0168351 | + | 0.117091i | 0.996506 | − | 0.0835203i | \(-0.0266163\pi\) |
−0.979671 | + | 0.200611i | \(0.935707\pi\) | |||||||
\(542\) | 3.59641 | − | 2.31127i | 0.154479 | − | 0.0992775i | ||||
\(543\) | 8.84864 | − | 10.2119i | 0.379732 | − | 0.438234i | ||||
\(544\) | −0.676794 | + | 1.48197i | −0.0290173 | + | 0.0635390i | ||||
\(545\) | 20.5351 | + | 13.1971i | 0.879628 | + | 0.565302i | ||||
\(546\) | −0.511882 | + | 0.150302i | −0.0219065 | + | 0.00643234i | ||||
\(547\) | 16.9281 | + | 19.5361i | 0.723794 | + | 0.835303i | 0.991758 | − | 0.128126i | \(-0.0408963\pi\) |
−0.267964 | + | 0.963429i | \(0.586351\pi\) | |||||||
\(548\) | 9.50120 | + | 2.78980i | 0.405871 | + | 0.119175i | ||||
\(549\) | 1.50935 | + | 3.30502i | 0.0644176 | + | 0.141055i | ||||
\(550\) | 1.77491 | − | 12.3447i | 0.0756822 | − | 0.526381i | ||||
\(551\) | 4.66244 | 0.198627 | ||||||||
\(552\) | −0.679686 | − | 4.74742i | −0.0289294 | − | 0.202064i | ||||
\(553\) | −3.63091 | −0.154402 | ||||||||
\(554\) | 0.246144 | − | 1.71197i | 0.0104576 | − | 0.0727345i | ||||
\(555\) | 1.00131 | + | 2.19257i | 0.0425034 | + | 0.0930695i | ||||
\(556\) | −15.0537 | − | 4.42017i | −0.638420 | − | 0.187457i | ||||
\(557\) | 9.22291 | + | 10.6438i | 0.390787 | + | 0.450993i | 0.916718 | − | 0.399535i | \(-0.130828\pi\) |
−0.525931 | + | 0.850527i | \(0.676283\pi\) | |||||||
\(558\) | −0.685993 | + | 0.201426i | −0.0290404 | + | 0.00852703i | ||||
\(559\) | 1.73449 | + | 1.11469i | 0.0733613 | + | 0.0471464i | ||||
\(560\) | 0.626339 | − | 1.37149i | 0.0264677 | − | 0.0579561i | ||||
\(561\) | 4.87988 | − | 5.63169i | 0.206029 | − | 0.237770i | ||||
\(562\) | −21.5125 | + | 13.8252i | −0.907449 | + | 0.583182i | ||||
\(563\) | 2.17922 | + | 15.1568i | 0.0918431 | + | 0.638783i | 0.982797 | + | 0.184689i | \(0.0591278\pi\) |
−0.890954 | + | 0.454094i | \(0.849963\pi\) | |||||||
\(564\) | −1.35815 | − | 9.44613i | −0.0571884 | − | 0.397754i | ||||
\(565\) | 16.6889 | − | 10.7253i | 0.702108 | − | 0.451217i | ||||
\(566\) | −11.1235 | + | 12.8372i | −0.467554 | + | 0.539586i | ||||
\(567\) | 0.415415 | − | 0.909632i | 0.0174458 | − | 0.0382010i | ||||
\(568\) | 0.538491 | + | 0.346067i | 0.0225946 | + | 0.0145207i | ||||
\(569\) | 5.58691 | − | 1.64046i | 0.234215 | − | 0.0687718i | −0.162519 | − | 0.986705i | \(-0.551962\pi\) |
0.396734 | + | 0.917934i | \(0.370144\pi\) | |||||||
\(570\) | 0.638654 | + | 0.737046i | 0.0267503 | + | 0.0308715i | ||||
\(571\) | 19.7836 | + | 5.80900i | 0.827920 | + | 0.243099i | 0.668123 | − | 0.744051i | \(-0.267098\pi\) |
0.159797 | + | 0.987150i | \(0.448916\pi\) | |||||||
\(572\) | 1.01367 | + | 2.21963i | 0.0423837 | + | 0.0928073i | ||||
\(573\) | 2.52123 | − | 17.5356i | 0.105326 | − | 0.732559i | ||||
\(574\) | 1.05820 | 0.0441685 | ||||||||
\(575\) | −13.0768 | − | 0.00780128i | −0.545342 | − | 0.000325336i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −4.27132 | + | 29.7077i | −0.177817 | + | 1.23675i | 0.683983 | + | 0.729498i | \(0.260246\pi\) |
−0.861800 | + | 0.507248i | \(0.830663\pi\) | |||||||
\(578\) | −5.95942 | − | 13.0493i | −0.247879 | − | 0.542780i | ||||
\(579\) | −7.50326 | − | 2.20316i | −0.311825 | − | 0.0915600i | ||||
\(580\) | 7.11706 | + | 8.21352i | 0.295520 | + | 0.341048i | ||||
\(581\) | −4.24321 | + | 1.24592i | −0.176038 | + | 0.0516895i | ||||
\(582\) | −8.09492 | − | 5.20229i | −0.335545 | − | 0.215642i | ||||
\(583\) | −6.20275 | + | 13.5821i | −0.256892 | + | 0.562514i | ||||
\(584\) | −2.82600 | + | 3.26137i | −0.116941 | + | 0.134957i | ||||
\(585\) | 0.676679 | − | 0.434875i | 0.0279772 | − | 0.0179799i | ||||
\(586\) | −0.694791 | − | 4.83237i | −0.0287015 | − | 0.199624i | ||||
\(587\) | −2.52195 | − | 17.5406i | −0.104092 | − | 0.723976i | −0.973301 | − | 0.229532i | \(-0.926281\pi\) |
0.869209 | − | 0.494445i | \(-0.164629\pi\) | |||||||
\(588\) | 0.841254 | − | 0.540641i | 0.0346927 | − | 0.0222957i | ||||
\(589\) | 0.302842 | − | 0.349498i | 0.0124784 | − | 0.0144008i | ||||
\(590\) | 7.13030 | − | 15.6132i | 0.293550 | − | 0.642784i | ||||
\(591\) | 9.92101 | + | 6.37585i | 0.408096 | + | 0.262267i | ||||
\(592\) | −1.53392 | + | 0.450399i | −0.0630437 | + | 0.0185113i | ||||
\(593\) | 25.4269 | + | 29.3443i | 1.04416 | + | 1.20502i | 0.978300 | + | 0.207195i | \(0.0664336\pi\) |
0.0658599 | + | 0.997829i | \(0.479021\pi\) | |||||||
\(594\) | −4.38862 | − | 1.28861i | −0.180067 | − | 0.0528725i | ||||
\(595\) | −1.02043 | − | 2.23443i | −0.0418336 | − | 0.0916029i | ||||
\(596\) | −1.89535 | + | 13.1825i | −0.0776368 | + | 0.539975i | ||||
\(597\) | 2.95911 | 0.121108 | ||||||||
\(598\) | 2.15320 | − | 1.38197i | 0.0880511 | − | 0.0565128i | ||||
\(599\) | 14.1225 | 0.577031 | 0.288516 | − | 0.957475i | \(-0.406838\pi\) | ||||
0.288516 | + | 0.957475i | \(0.406838\pi\) | |||||||
\(600\) | 0.388051 | − | 2.69896i | 0.0158421 | − | 0.110184i | ||||
\(601\) | −10.7315 | − | 23.4986i | −0.437745 | − | 0.958529i | −0.992007 | − | 0.126186i | \(-0.959726\pi\) |
0.554261 | − | 0.832343i | \(-0.313001\pi\) | |||||||
\(602\) | −3.70817 | − | 1.08882i | −0.151134 | − | 0.0443769i | ||||
\(603\) | −1.27656 | − | 1.47322i | −0.0519854 | − | 0.0599943i | ||||
\(604\) | −13.0180 | + | 3.82244i | −0.529697 | + | 0.155533i | ||||
\(605\) | 12.5831 | + | 8.08668i | 0.511577 | + | 0.328770i | ||||
\(606\) | −2.09358 | + | 4.58430i | −0.0850459 | + | 0.186225i | ||||
\(607\) | 14.5423 | − | 16.7827i | 0.590255 | − | 0.681190i | −0.379522 | − | 0.925183i | \(-0.623912\pi\) |
0.969777 | + | 0.243992i | \(0.0784572\pi\) | |||||||
\(608\) | −0.544147 | + | 0.349702i | −0.0220681 | + | 0.0141823i | ||||
\(609\) | 1.02583 | + | 7.13479i | 0.0415686 | + | 0.289116i | ||||
\(610\) | −0.779626 | − | 5.42242i | −0.0315661 | − | 0.219547i | ||||
\(611\) | 4.28304 | − | 2.75254i | 0.173273 | − | 0.111356i | ||||
\(612\) | 1.06690 | − | 1.23127i | 0.0431268 | − | 0.0497710i | ||||
\(613\) | −20.0162 | + | 43.8293i | −0.808445 | + | 1.77025i | −0.194495 | + | 0.980903i | \(0.562307\pi\) |
−0.613950 | + | 0.789345i | \(0.710420\pi\) | |||||||
\(614\) | 1.51527 | + | 0.973803i | 0.0611512 | + | 0.0392995i | ||||
\(615\) | −1.53087 | + | 0.449504i | −0.0617306 | + | 0.0181257i | ||||
\(616\) | −2.99526 | − | 3.45672i | −0.120683 | − | 0.139275i | ||||
\(617\) | 2.86417 | + | 0.840997i | 0.115307 | + | 0.0338573i | 0.338877 | − | 0.940831i | \(-0.389953\pi\) |
−0.223570 | + | 0.974688i | \(0.571771\pi\) | |||||||
\(618\) | −1.20440 | − | 2.63726i | −0.0484479 | − | 0.106086i | ||||
\(619\) | −6.74767 | + | 46.9311i | −0.271212 | + | 1.88632i | 0.164722 | + | 0.986340i | \(0.447327\pi\) |
−0.435934 | + | 0.899979i | \(0.643582\pi\) | |||||||
\(620\) | 1.07797 | 0.0432922 | ||||||||
\(621\) | −0.685350 | + | 4.74661i | −0.0275021 | + | 0.190475i | ||||
\(622\) | 14.8960 | 0.597274 | ||||||||
\(623\) | 1.36281 | − | 9.47856i | 0.0545999 | − | 0.379751i | ||||
\(624\) | 0.221621 | + | 0.485282i | 0.00887193 | + | 0.0194268i | ||||
\(625\) | 3.77225 | + | 1.10763i | 0.150890 | + | 0.0443053i | ||||
\(626\) | −3.86487 | − | 4.46030i | −0.154471 | − | 0.178270i | ||||
\(627\) | 2.83869 | − | 0.833513i | 0.113366 | − | 0.0332873i | ||||
\(628\) | −0.973371 | − | 0.625548i | −0.0388417 | − | 0.0249621i | ||||
\(629\) | −1.08197 | + | 2.36919i | −0.0431412 | + | 0.0944660i | ||||
\(630\) | −0.987362 | + | 1.13948i | −0.0393374 | + | 0.0453978i | ||||
\(631\) | −11.1732 | + | 7.18059i | −0.444798 | + | 0.285855i | −0.743805 | − | 0.668396i | \(-0.766981\pi\) |
0.299007 | + | 0.954251i | \(0.403345\pi\) | |||||||
\(632\) | 0.516733 | + | 3.59396i | 0.0205545 | + | 0.142960i | ||||
\(633\) | −0.562685 | − | 3.91356i | −0.0223647 | − | 0.155550i | ||||
\(634\) | −0.885696 | + | 0.569203i | −0.0351755 | + | 0.0226059i | ||||
\(635\) | −5.07043 | + | 5.85159i | −0.201214 | + | 0.232213i | ||||
\(636\) | −1.35612 | + | 2.96949i | −0.0537737 | + | 0.117748i | ||||
\(637\) | 0.448802 | + | 0.288428i | 0.0177822 | + | 0.0114279i | ||||
\(638\) | 31.6339 | − | 9.28854i | 1.25240 | − | 0.367737i | ||||
\(639\) | −0.419180 | − | 0.483760i | −0.0165825 | − | 0.0191372i | ||||
\(640\) | −1.44667 | − | 0.424780i | −0.0571846 | − | 0.0167909i | ||||
\(641\) | −12.2370 | − | 26.7954i | −0.483334 | − | 1.05835i | −0.981533 | − | 0.191291i | \(-0.938733\pi\) |
0.498200 | − | 0.867062i | \(-0.333995\pi\) | |||||||
\(642\) | −1.37450 | + | 9.55983i | −0.0542470 | + | 0.377296i | ||||
\(643\) | 30.2693 | 1.19371 | 0.596853 | − | 0.802351i | \(-0.296418\pi\) | ||||
0.596853 | + | 0.802351i | \(0.296418\pi\) | |||||||
\(644\) | −3.14276 | + | 3.62257i | −0.123842 | + | 0.142749i | ||||
\(645\) | 5.82700 | 0.229438 | ||||||||
\(646\) | −0.149973 | + | 1.04309i | −0.00590062 | + | 0.0410397i | ||||
\(647\) | 0.756472 | + | 1.65644i | 0.0297400 | + | 0.0651215i | 0.923919 | − | 0.382588i | \(-0.124967\pi\) |
−0.894179 | + | 0.447710i | \(0.852240\pi\) | |||||||
\(648\) | −0.959493 | − | 0.281733i | −0.0376924 | − | 0.0110675i | ||||
\(649\) | −34.0983 | − | 39.3516i | −1.33848 | − | 1.54468i | ||||
\(650\) | 1.39575 | − | 0.409830i | 0.0547460 | − | 0.0160749i | ||||
\(651\) | 0.601457 | + | 0.386533i | 0.0235730 | + | 0.0151494i | ||||
\(652\) | −0.0889982 | + | 0.194879i | −0.00348544 | + | 0.00763205i | ||||
\(653\) | −1.73031 | + | 1.99688i | −0.0677121 | + | 0.0781440i | −0.788595 | − | 0.614913i | \(-0.789191\pi\) |
0.720883 | + | 0.693057i | \(0.243737\pi\) | |||||||
\(654\) | 13.6198 | − | 8.75289i | 0.532575 | − | 0.342265i | ||||
\(655\) | −0.0227262 | − | 0.158064i | −0.000887985 | − | 0.00617607i | ||||
\(656\) | −0.150598 | − | 1.04743i | −0.00587986 | − | 0.0408953i | ||||
\(657\) | 3.63036 | − | 2.33309i | 0.141634 | − | 0.0910225i | ||||
\(658\) | −6.24951 | + | 7.21232i | −0.243631 | + | 0.281166i | ||||
\(659\) | −11.3800 | + | 24.9187i | −0.443301 | + | 0.970693i | 0.547680 | + | 0.836688i | \(0.315511\pi\) |
−0.990981 | + | 0.134005i | \(0.957216\pi\) | |||||||
\(660\) | 5.80150 | + | 3.72840i | 0.225823 | + | 0.145128i | ||||
\(661\) | 25.0330 | − | 7.35036i | 0.973671 | − | 0.285896i | 0.244062 | − | 0.969760i | \(-0.421520\pi\) |
0.729610 | + | 0.683864i | \(0.239702\pi\) | |||||||
\(662\) | 1.88145 | + | 2.17131i | 0.0731248 | + | 0.0843905i | ||||
\(663\) | 0.833958 | + | 0.244872i | 0.0323882 | + | 0.00951005i | ||||
\(664\) | 1.83711 | + | 4.02271i | 0.0712937 | + | 0.156111i | ||||
\(665\) | 0.138793 | − | 0.965325i | 0.00538215 | − | 0.0374337i | ||||
\(666\) | 1.59868 | 0.0619475 | ||||||||
\(667\) | −14.3418 | − | 31.4537i | −0.555315 | − | 1.21789i | ||||
\(668\) | −6.52200 | −0.252344 | ||||||||
\(669\) | −3.23569 | + | 22.5047i | −0.125099 | + | 0.870082i | ||||
\(670\) | 1.22096 | + | 2.67352i | 0.0471697 | + | 0.103287i | ||||
\(671\) | −15.9454 | − | 4.68201i | −0.615567 | − | 0.180747i | ||||
\(672\) | −0.654861 | − | 0.755750i | −0.0252618 | − | 0.0291537i | ||||
\(673\) | −41.3551 | + | 12.1430i | −1.59412 | + | 0.468076i | −0.953903 | − | 0.300116i | \(-0.902975\pi\) |
−0.640219 | + | 0.768192i | \(0.721156\pi\) | |||||||
\(674\) | −16.4109 | − | 10.5466i | −0.632123 | − | 0.406241i | ||||
\(675\) | −1.13272 | + | 2.48030i | −0.0435983 | + | 0.0954669i | ||||
\(676\) | 8.32681 | − | 9.60965i | 0.320262 | − | 0.369602i | ||||
\(677\) | −19.2189 | + | 12.3513i | −0.738643 | + | 0.474697i | −0.855077 | − | 0.518501i | \(-0.826490\pi\) |
0.116433 | + | 0.993198i | \(0.462854\pi\) | |||||||
\(678\) | −1.87251 | − | 13.0236i | −0.0719133 | − | 0.500168i | ||||
\(679\) | 1.36942 | + | 9.52451i | 0.0525534 | + | 0.365517i | ||||
\(680\) | −2.06647 | + | 1.32804i | −0.0792454 | + | 0.0509279i | ||||
\(681\) | 15.7698 | − | 18.1993i | 0.604300 | − | 0.697400i | ||||
\(682\) | 1.35846 | − | 2.97461i | 0.0520180 | − | 0.113904i | ||||
\(683\) | 11.1939 | + | 7.19390i | 0.428324 | + | 0.275267i | 0.736990 | − | 0.675903i | \(-0.236246\pi\) |
−0.308666 | + | 0.951170i | \(0.599883\pi\) | |||||||
\(684\) | 0.620628 | − | 0.182233i | 0.0237303 | − | 0.00696784i | ||||
\(685\) | 9.77717 | + | 11.2835i | 0.373566 | + | 0.431119i | ||||
\(686\) | −0.959493 | − | 0.281733i | −0.0366336 | − | 0.0107566i | ||||
\(687\) | 0.926559 | + | 2.02888i | 0.0353504 | + | 0.0774067i | ||||
\(688\) | −0.550007 | + | 3.82538i | −0.0209688 | + | 0.145841i | ||||
\(689\) | −1.74158 | −0.0663490 | ||||||||
\(690\) | 3.00774 | − | 6.57565i | 0.114503 | − | 0.250331i | ||||
\(691\) | 12.2500 | 0.466012 | 0.233006 | − | 0.972475i | \(-0.425144\pi\) | ||||
0.233006 | + | 0.972475i | \(0.425144\pi\) | |||||||
\(692\) | −0.445673 | + | 3.09972i | −0.0169419 | + | 0.117834i | ||||
\(693\) | 1.90006 | + | 4.16056i | 0.0721775 | + | 0.158047i | ||||
\(694\) | 12.0265 | + | 3.53129i | 0.456518 | + | 0.134046i | ||||
\(695\) | −15.4910 | − | 17.8775i | −0.587606 | − | 0.678134i | ||||
\(696\) | 6.91617 | − | 2.03077i | 0.262157 | − | 0.0769762i | ||||
\(697\) | −1.45034 | − | 0.932077i | −0.0549356 | − | 0.0353050i | ||||
\(698\) | −10.7179 | + | 23.4689i | −0.405679 | + | 0.888313i | ||||
\(699\) | −9.96574 | + | 11.5011i | −0.376939 | + | 0.435011i | ||||
\(700\) | −2.29385 | + | 1.47417i | −0.0866995 | + | 0.0557184i | ||||
\(701\) | −4.02000 | − | 27.9597i | −0.151833 | − | 1.05602i | −0.913144 | − | 0.407637i | \(-0.866353\pi\) |
0.761311 | − | 0.648387i | \(-0.224556\pi\) | |||||||
\(702\) | −0.0759239 | − | 0.528062i | −0.00286556 | − | 0.0199304i | ||||
\(703\) | −0.869915 | + | 0.559060i | −0.0328095 | + | 0.0210854i | ||||
\(704\) | −2.99526 | + | 3.45672i | −0.112888 | + | 0.130280i | ||||
\(705\) | 5.97732 | − | 13.0885i | 0.225119 | − | 0.492942i | ||||
\(706\) | −22.2307 | − | 14.2868i | −0.836663 | − | 0.537691i | ||||
\(707\) | 4.83559 | − | 1.41986i | 0.181861 | − | 0.0533992i | ||||
\(708\) | −7.45499 | − | 8.60352i | −0.280176 | − | 0.323340i | ||||
\(709\) | −37.5471 | − | 11.0248i | −1.41011 | − | 0.414046i | −0.513967 | − | 0.857810i | \(-0.671825\pi\) |
−0.896144 | + | 0.443764i | \(0.853643\pi\) | |||||||
\(710\) | 0.400923 | + | 0.877900i | 0.0150464 | + | 0.0329470i | ||||
\(711\) | 0.516733 | − | 3.59396i | 0.0193790 | − | 0.134784i | ||||
\(712\) | −9.57603 | −0.358877 | ||||||||
\(713\) | −3.28933 | − | 0.967966i | −0.123186 | − | 0.0362506i | ||||
\(714\) | −1.62920 | −0.0609713 | ||||||||
\(715\) | −0.523591 | + | 3.64165i | −0.0195812 | + | 0.136190i | ||||
\(716\) | 9.52379 | + | 20.8542i | 0.355921 | + | 0.779357i | ||||
\(717\) | −23.6480 | − | 6.94369i | −0.883152 | − | 0.259317i | ||||
\(718\) | 8.48695 | + | 9.79447i | 0.316730 | + | 0.365526i | ||||
\(719\) | 28.3478 | − | 8.32366i | 1.05719 | − | 0.310420i | 0.293473 | − | 0.955967i | \(-0.405189\pi\) |
0.763720 | + | 0.645547i | \(0.223371\pi\) | |||||||
\(720\) | 1.26839 | + | 0.815148i | 0.0472703 | + | 0.0303788i | ||||
\(721\) | −1.20440 | + | 2.63726i | −0.0448540 | + | 0.0982167i | ||||
\(722\) | 12.1684 | − | 14.0430i | 0.452860 | − | 0.522628i | ||||
\(723\) | −2.87136 | + | 1.84531i | −0.106787 | + | 0.0686279i | ||||
\(724\) | 1.92299 | + | 13.3747i | 0.0714675 | + | 0.497067i | ||||
\(725\) | −2.79713 | − | 19.4545i | −0.103883 | − | 0.722522i | ||||
\(726\) | 8.34566 | − | 5.36343i | 0.309737 | − | 0.199056i | ||||
\(727\) | 25.6037 | − | 29.5482i | 0.949588 | − | 1.09588i | −0.0457032 | − | 0.998955i | \(-0.514553\pi\) |
0.995291 | − | 0.0969281i | \(-0.0309017\pi\) | |||||||
\(728\) | 0.221621 | − | 0.485282i | 0.00821381 | − | 0.0179857i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | −6.24298 | + | 1.83310i | −0.231063 | + | 0.0678462i | ||||
\(731\) | 4.12326 | + | 4.75850i | 0.152504 | + | 0.175999i | ||||
\(732\) | −3.48619 | − | 1.02364i | −0.128853 | − | 0.0378347i | ||||
\(733\) | −7.02276 | − | 15.3777i | −0.259392 | − | 0.567989i | 0.734467 | − | 0.678644i | \(-0.237432\pi\) |
−0.993859 | + | 0.110656i | \(0.964705\pi\) | |||||||
\(734\) | −4.34506 | + | 30.2206i | −0.160379 | + | 1.11546i | ||||
\(735\) | 1.50774 | 0.0556140 | ||||||||
\(736\) | 4.03296 | + | 2.59523i | 0.148657 | + | 0.0956614i | ||||
\(737\) | 8.91615 | 0.328430 | ||||||||
\(738\) | −0.150598 | + | 1.04743i | −0.00554359 | + | 0.0385565i | ||||
\(739\) | 12.4851 | + | 27.3385i | 0.459271 | + | 1.00566i | 0.987653 | + | 0.156657i | \(0.0500718\pi\) |
−0.528382 | + | 0.849007i | \(0.677201\pi\) | |||||||
\(740\) | −2.31276 | − | 0.679086i | −0.0850186 | − | 0.0249637i | ||||
\(741\) | 0.225978 | + | 0.260793i | 0.00830151 | + | 0.00958046i | ||||
\(742\) | 3.13226 | − | 0.919715i | 0.114989 | − | 0.0337638i | ||||
\(743\) | −32.8114 | − | 21.0866i | −1.20373 | − | 0.773592i | −0.224135 | − | 0.974558i | \(-0.571956\pi\) |
−0.979598 | + | 0.200966i | \(0.935592\pi\) | |||||||
\(744\) | 0.297002 | − | 0.650345i | 0.0108886 | − | 0.0238428i | ||||
\(745\) | −13.1497 | + | 15.1756i | −0.481769 | + | 0.555991i | ||||
\(746\) | −20.5994 | + | 13.2384i | −0.754198 | + | 0.484694i | ||||
\(747\) | −0.629366 | − | 4.37734i | −0.0230273 | − | 0.160158i | ||||
\(748\) | 1.06050 | + | 7.37594i | 0.0387757 | + | 0.269691i | ||||
\(749\) | 8.12494 | − | 5.22158i | 0.296879 | − | 0.190792i | ||||
\(750\) | 7.62906 | − | 8.80440i | 0.278574 | − | 0.321491i | ||||
\(751\) | 17.1379 | − | 37.5269i | 0.625372 | − | 1.36937i | −0.286174 | − | 0.958178i | \(-0.592384\pi\) |
0.911547 | − | 0.411197i | \(-0.134889\pi\) | |||||||
\(752\) | 8.02831 | + | 5.15948i | 0.292762 | + | 0.188147i | ||||
\(753\) | −25.3273 | + | 7.43678i | −0.922979 | + | 0.271011i | ||||
\(754\) | 2.51826 | + | 2.90623i | 0.0917097 | + | 0.105839i | ||||
\(755\) | −19.6279 | − | 5.76326i | −0.714332 | − | 0.209747i | ||||
\(756\) | 0.415415 | + | 0.909632i | 0.0151085 | + | 0.0330830i | ||||
\(757\) | 3.57120 | − | 24.8382i | 0.129797 | − | 0.902760i | −0.816011 | − | 0.578036i | \(-0.803819\pi\) |
0.945809 | − | 0.324725i | \(-0.105272\pi\) | |||||||
\(758\) | 18.0142 | 0.654306 | ||||||||
\(759\) | −14.3549 | − | 16.5864i | −0.521049 | − | 0.602048i | ||||
\(760\) | −0.975252 | −0.0353761 | ||||||||
\(761\) | −3.84447 | + | 26.7389i | −0.139362 | + | 0.969283i | 0.793377 | + | 0.608731i | \(0.208321\pi\) |
−0.932739 | + | 0.360553i | \(0.882588\pi\) | |||||||
\(762\) | 2.13329 | + | 4.67126i | 0.0772810 | + | 0.169222i | ||||
\(763\) | −15.5340 | − | 4.56121i | −0.562370 | − | 0.165127i | ||||
\(764\) | 11.6014 | + | 13.3888i | 0.419725 | + | 0.484389i | ||||
\(765\) | 2.35691 | − | 0.692052i | 0.0852144 | − | 0.0250212i | ||||
\(766\) | −31.9030 | − | 20.5028i | −1.15270 | − | 0.740798i | ||||
\(767\) | 2.52295 | − | 5.52449i | 0.0910984 | − | 0.199478i | ||||
\(768\) | −0.654861 | + | 0.755750i | −0.0236303 | + | 0.0272708i | ||||
\(769\) | −17.5254 | + | 11.2629i | −0.631983 | + | 0.406151i | −0.817043 | − | 0.576577i | \(-0.804388\pi\) |
0.185061 | + | 0.982727i | \(0.440752\pi\) | |||||||
\(770\) | −0.981440 | − | 6.82607i | −0.0353686 | − | 0.245994i | ||||
\(771\) | −1.60332 | − | 11.1513i | −0.0577420 | − | 0.401604i | ||||
\(772\) | 6.57863 | − | 4.22783i | 0.236770 | − | 0.152163i | ||||
\(773\) | 15.7036 | − | 18.1229i | 0.564818 | − | 0.651835i | −0.399453 | − | 0.916754i | \(-0.630800\pi\) |
0.964271 | + | 0.264919i | \(0.0853452\pi\) | |||||||
\(774\) | 1.60546 | − | 3.51547i | 0.0577071 | − | 0.126361i | ||||
\(775\) | −1.64000 | − | 1.05396i | −0.0589105 | − | 0.0378595i | ||||
\(776\) | 9.23268 | − | 2.71096i | 0.331434 | − | 0.0973178i | ||||
\(777\) | −1.04691 | − | 1.20820i | −0.0375577 | − | 0.0433439i | ||||
\(778\) | 7.82433 | + | 2.29743i | 0.280516 | + | 0.0823669i | ||||
\(779\) | −0.284342 | − | 0.622621i | −0.0101876 | − | 0.0223077i | ||||
\(780\) | −0.114474 | + | 0.796182i | −0.00409882 | + | 0.0285079i | ||||
\(781\) | 2.92778 | 0.104764 | ||||||||
\(782\) | 7.49818 | − | 2.19681i | 0.268134 | − | 0.0785577i | ||||
\(783\) | −7.20816 | −0.257598 | ||||||||
\(784\) | −0.142315 | + | 0.989821i | −0.00508267 | + | 0.0353508i | ||||
\(785\) | −0.724705 | − | 1.58688i | −0.0258658 | − | 0.0566383i | ||||
\(786\) | −0.101623 | − | 0.0298391i | −0.00362476 | − | 0.00106433i | ||||
\(787\) | −15.5343 | − | 17.9276i | −0.553738 | − | 0.639048i | 0.408012 | − | 0.912977i | \(-0.366222\pi\) |
−0.961750 | + | 0.273928i | \(0.911677\pi\) | |||||||
\(788\) | −11.3154 | + | 3.32251i | −0.403095 | + | 0.118359i | ||||
\(789\) | −1.69625 | − | 1.09012i | −0.0603883 | − | 0.0388092i | ||||
\(790\) | −2.27418 | + | 4.97977i | −0.0809118 | + | 0.177172i | ||||
\(791\) | −8.61634 | + | 9.94378i | −0.306362 | + | 0.353560i | ||||
\(792\) | 3.84780 | − | 2.47283i | 0.136726 | − | 0.0878683i | ||||
\(793\) | −0.275859 | − | 1.91864i | −0.00979604 | − | 0.0681329i | ||||
\(794\) | −2.13215 | − | 14.8294i | −0.0756672 | − | 0.526277i | ||||
\(795\) | −4.14067 | + | 2.66105i | −0.146854 | + | 0.0943776i | ||||
\(796\) | −1.93780 | + | 2.23634i | −0.0686836 | + | 0.0792651i | ||||
\(797\) | 14.0548 | − | 30.7756i | 0.497845 | − | 1.09013i | −0.479319 | − | 0.877641i | \(-0.659116\pi\) |
0.977164 | − | 0.212488i | \(-0.0681565\pi\) | |||||||
\(798\) | −0.544147 | − | 0.349702i | −0.0192626 | − | 0.0123793i | ||||
\(799\) | 14.9181 | − | 4.38035i | 0.527764 | − | 0.154966i | ||||
\(800\) | 1.78562 | + | 2.06071i | 0.0631310 | + | 0.0728571i | ||||
\(801\) | 9.18814 | + | 2.69788i | 0.324647 | + | 0.0953249i | ||||
\(802\) | −8.26874 | − | 18.1060i | −0.291979 | − | 0.639346i | ||||
\(803\) | −2.80905 | + | 19.5373i | −0.0991291 | + | 0.689458i | ||||
\(804\) | 1.94936 | 0.0687485 | ||||||||
\(805\) | −6.93920 | + | 2.03304i | −0.244575 | + | 0.0716551i | ||||
\(806\) | 0.381422 | 0.0134350 | ||||||||
\(807\) | 0.501770 | − | 3.48989i | 0.0176632 | − | 0.122850i | ||||
\(808\) | −2.09358 | − | 4.58430i | −0.0736520 | − | 0.161275i | ||||
\(809\) | −50.5614 | − | 14.8462i | −1.77764 | − | 0.521963i | −0.782700 | − | 0.622399i | \(-0.786158\pi\) |
−0.994944 | + | 0.100436i | \(0.967976\pi\) | |||||||
\(810\) | −0.987362 | − | 1.13948i | −0.0346924 | − | 0.0400371i | ||||
\(811\) | −8.36683 | + | 2.45672i | −0.293799 | + | 0.0862672i | −0.425311 | − | 0.905047i | \(-0.639835\pi\) |
0.131511 | + | 0.991315i | \(0.458017\pi\) | |||||||
\(812\) | −6.06389 | − | 3.89702i | −0.212801 | − | 0.136759i | ||||
\(813\) | 1.77592 | − | 3.88873i | 0.0622843 | − | 0.136384i | ||||
\(814\) | −4.78846 | + | 5.52618i | −0.167835 | + | 0.193692i | ||||
\(815\) | −0.271740 | + | 0.174637i | −0.00951863 | + | 0.00611725i | ||||
\(816\) | 0.231859 | + | 1.61262i | 0.00811670 | + | 0.0564529i | ||||
\(817\) | 0.355760 | + | 2.47437i | 0.0124465 | + | 0.0865671i | ||||
\(818\) | −28.7920 | + | 18.5035i | −1.00669 | + | 0.646959i | ||||
\(819\) | −0.349363 | + | 0.403186i | −0.0122077 | + | 0.0140885i | ||||
\(820\) | 0.662794 | − | 1.45132i | 0.0231458 | − | 0.0506822i | ||||
\(821\) | −12.7349 | − | 8.18423i | −0.444451 | − | 0.285632i | 0.299211 | − | 0.954187i | \(-0.403277\pi\) |
−0.743662 | + | 0.668555i | \(0.766913\pi\) | |||||||
\(822\) | 9.50120 | − | 2.78980i | 0.331392 | − | 0.0973056i | ||||
\(823\) | 15.9507 | + | 18.4081i | 0.556007 | + | 0.641666i | 0.962272 | − | 0.272089i | \(-0.0877146\pi\) |
−0.406265 | + | 0.913755i | \(0.633169\pi\) | |||||||
\(824\) | 2.78182 | + | 0.816816i | 0.0969093 | + | 0.0284551i | ||||
\(825\) | −5.18092 | − | 11.3446i | −0.180377 | − | 0.394970i | ||||
\(826\) | −1.62012 | + | 11.2682i | −0.0563713 | + | 0.392071i | ||||
\(827\) | 31.1767 | 1.08412 | 0.542060 | − | 0.840340i | \(-0.317645\pi\) | ||||
0.542060 | + | 0.840340i | \(0.317645\pi\) | |||||||
\(828\) | −3.13844 | − | 3.62632i | −0.109068 | − | 0.126023i | ||||
\(829\) | −27.7746 | −0.964653 | −0.482327 | − | 0.875991i | \(-0.660208\pi\) | ||||
−0.482327 | + | 0.875991i | \(0.660208\pi\) | |||||||
\(830\) | −0.948923 | + | 6.59990i | −0.0329376 | + | 0.229086i | ||||
\(831\) | −0.718490 | − | 1.57327i | −0.0249241 | − | 0.0545762i | ||||
\(832\) | −0.511882 | − | 0.150302i | −0.0177463 | − | 0.00521079i | ||||
\(833\) | 1.06690 | + | 1.23127i | 0.0369659 | + | 0.0426609i | ||||
\(834\) | −15.0537 | + | 4.42017i | −0.521268 | + | 0.153058i | ||||
\(835\) | −8.27247 | − | 5.31639i | −0.286280 | − | 0.183981i | ||||
\(836\) | −1.22902 | + | 2.69117i | −0.0425064 | + | 0.0930761i | ||||
\(837\) | −0.468195 | + | 0.540326i | −0.0161832 | + | 0.0186764i | ||||
\(838\) | −26.9254 | + | 17.3039i | −0.930121 | + | 0.597753i | ||||
\(839\) | −2.52023 | − | 17.5286i | −0.0870082 | − | 0.605155i | −0.985944 | − | 0.167075i | \(-0.946568\pi\) |
0.898936 | − | 0.438080i | \(-0.144341\pi\) | |||||||
\(840\) | −0.214574 | − | 1.49240i | −0.00740352 | − | 0.0514926i | ||||
\(841\) | 19.3131 | − | 12.4118i | 0.665968 | − | 0.427992i | ||||
\(842\) | 3.18583 | − | 3.67664i | 0.109791 | − | 0.126705i | ||||
\(843\) | −10.6230 | + | 23.2610i | −0.365874 | + | 0.801153i | ||||
\(844\) | 3.32615 | + | 2.13759i | 0.114491 | + | 0.0735788i | ||||
\(845\) | 18.3950 | − | 5.40125i | 0.632806 | − | 0.185809i | ||||
\(846\) | −6.24951 | − | 7.21232i | −0.214863 | − | 0.247965i | ||||
\(847\) | −9.51866 | − | 2.79493i | −0.327065 | − | 0.0960350i | ||||
\(848\) | −1.35612 | − | 2.96949i | −0.0465694 | − | 0.101973i | ||||
\(849\) | −2.41736 | + | 16.8131i | −0.0829635 | + | 0.577024i | ||||
\(850\) | 4.44235 | 0.152372 | ||||||||
\(851\) | 6.44740 | + | 4.14893i | 0.221014 | + | 0.142224i | ||||
\(852\) | 0.640106 | 0.0219297 | ||||||||
\(853\) | 5.73182 | − | 39.8657i | 0.196254 | − | 1.36497i | −0.618782 | − | 0.785563i | \(-0.712373\pi\) |
0.815035 | − | 0.579411i | \(-0.196718\pi\) | |||||||
\(854\) | 1.50935 | + | 3.30502i | 0.0516490 | + | 0.113096i | ||||
\(855\) | 0.935747 | + | 0.274760i | 0.0320019 | + | 0.00939660i | ||||
\(856\) | −6.32473 | − | 7.29913i | −0.216175 | − | 0.249479i | ||||
\(857\) | −5.01842 | + | 1.47354i | −0.171426 | + | 0.0503352i | −0.366319 | − | 0.930489i | \(-0.619382\pi\) |
0.194893 | + | 0.980824i | \(0.437564\pi\) | |||||||
\(858\) | 2.05277 | + | 1.31924i | 0.0700805 | + | 0.0450380i | ||||
\(859\) | 7.60034 | − | 16.6424i | 0.259320 | − | 0.567832i | −0.734528 | − | 0.678578i | \(-0.762597\pi\) |
0.993849 | + | 0.110745i | \(0.0353238\pi\) | |||||||
\(860\) | −3.81588 | + | 4.40375i | −0.130120 | + | 0.150167i | ||||
\(861\) | 0.890217 | − | 0.572108i | 0.0303385 | − | 0.0194974i | ||||
\(862\) | −0.0306644 | − | 0.213275i | −0.00104443 | − | 0.00726419i | ||||
\(863\) | −3.08341 | − | 21.4456i | −0.104961 | − | 0.730017i | −0.972543 | − | 0.232723i | \(-0.925236\pi\) |
0.867582 | − | 0.497293i | \(-0.165673\pi\) | |||||||
\(864\) | 0.841254 | − | 0.540641i | 0.0286200 | − | 0.0183930i | ||||
\(865\) | −3.09202 | + | 3.56838i | −0.105132 | + | 0.121329i | ||||
\(866\) | −6.11247 | + | 13.3844i | −0.207710 | + | 0.454822i | ||||
\(867\) | −12.0684 | − | 7.75588i | −0.409864 | − | 0.263403i | ||||
\(868\) | −0.685993 | + | 0.201426i | −0.0232841 | + | 0.00683683i | ||||
\(869\) | 10.8755 | + | 12.5510i | 0.368928 | + | 0.425765i | ||||
\(870\) | 10.4278 | + | 3.06188i | 0.353536 | + | 0.103808i | ||||
\(871\) | 0.432017 | + | 0.945986i | 0.0146384 | + | 0.0320535i | ||||
\(872\) | −2.30406 | + | 16.0251i | −0.0780252 | + | 0.542677i | ||||
\(873\) | −9.62246 | −0.325671 | ||||||||
\(874\) | 2.97590 | + | 0.875733i | 0.100661 | + | 0.0296221i | ||||
\(875\) | −11.6499 | −0.393838 | ||||||||
\(876\) | −0.614148 | + | 4.27149i | −0.0207501 | + | 0.144320i | ||||
\(877\) | 4.39037 | + | 9.61358i | 0.148252 | + | 0.324627i | 0.969159 | − | 0.246434i | \(-0.0792590\pi\) |
−0.820907 | + | 0.571062i | \(0.806532\pi\) | |||||||
\(878\) | 2.25013 | + | 0.660697i | 0.0759381 | + | 0.0222974i | ||||
\(879\) | −3.19707 | − | 3.68962i | −0.107835 | − | 0.124448i | ||||
\(880\) | −6.61691 | + | 1.94290i | −0.223056 | + | 0.0654952i | ||||
\(881\) | −25.3320 | − | 16.2799i | −0.853457 | − | 0.548484i | 0.0391939 | − | 0.999232i | \(-0.487521\pi\) |
−0.892651 | + | 0.450748i | \(0.851157\pi\) | |||||||
\(882\) | 0.415415 | − | 0.909632i | 0.0139878 | − | 0.0306289i | ||||
\(883\) | 14.8000 | − | 17.0801i | 0.498060 | − | 0.574792i | −0.449941 | − | 0.893058i | \(-0.648555\pi\) |
0.948001 | + | 0.318266i | \(0.103101\pi\) | |||||||
\(884\) | −0.731188 | + | 0.469906i | −0.0245925 | + | 0.0158047i | ||||
\(885\) | −2.44273 | − | 16.9896i | −0.0821115 | − | 0.571098i | ||||
\(886\) | 5.63832 | + | 39.2154i | 0.189423 | + | 1.31747i | ||||
\(887\) | −2.55026 | + | 1.63895i | −0.0856294 | + | 0.0550307i | −0.582755 | − | 0.812648i | \(-0.698025\pi\) |
0.497125 | + | 0.867679i | \(0.334389\pi\) | |||||||
\(888\) | −1.04691 | + | 1.20820i | −0.0351320 | + | 0.0405445i | ||||
\(889\) | 2.13329 | − | 4.67126i | 0.0715483 | − | 0.156669i | ||||
\(890\) | −12.1462 | − | 7.80588i | −0.407141 | − | 0.261654i | ||||
\(891\) | −4.38862 | + | 1.28861i | −0.147024 | + | 0.0431702i | ||||
\(892\) | −14.8890 | − | 17.1828i | −0.498521 | − | 0.575323i | ||||
\(893\) | 5.92282 | + | 1.73910i | 0.198199 | + | 0.0581966i | ||||
\(894\) | 5.53251 | + | 12.1145i | 0.185035 | + | 0.405170i | ||||
\(895\) | −4.91932 | + | 34.2146i | −0.164435 | + | 1.14367i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 1.06424 | − | 2.32669i | 0.0355341 | − | 0.0776861i | ||||
\(898\) | −24.3822 | −0.813643 | ||||||||
\(899\) | 0.733419 | − | 5.10104i | 0.0244609 | − | 0.170129i | ||||
\(900\) | −1.13272 | − | 2.48030i | −0.0377572 | − | 0.0826767i | ||||
\(901\) | −5.10308 | − | 1.49840i | −0.170008 | − | 0.0499189i | ||||
\(902\) | −3.16960 | − | 3.65791i | −0.105536 | − | 0.121795i | ||||
\(903\) | −3.70817 | + | 1.08882i | −0.123400 | + | 0.0362336i | ||||
\(904\) | 11.0688 | + | 7.11349i | 0.368143 | + | 0.236591i | ||||
\(905\) | −8.46325 | + | 18.5319i | −0.281328 | + | 0.616023i | ||||
\(906\) | −8.88491 | + | 10.2537i | −0.295181 | + | 0.340657i | ||||
\(907\) | 13.7381 | − | 8.82894i | 0.456166 | − | 0.293160i | −0.292308 | − | 0.956324i | \(-0.594423\pi\) |
0.748474 | + | 0.663164i | \(0.230787\pi\) | |||||||
\(908\) | 3.42711 | + | 23.8361i | 0.113733 | + | 0.791027i | ||||
\(909\) | 0.717229 | + | 4.98844i | 0.0237890 | + | 0.165456i | ||||
\(910\) | 0.676679 | − | 0.434875i | 0.0224317 | − | 0.0144160i | ||||
\(911\) | −15.8684 | + | 18.3131i | −0.525744 | + | 0.606741i | −0.955060 | − | 0.296413i | \(-0.904209\pi\) |
0.429315 | + | 0.903155i | \(0.358755\pi\) | |||||||
\(912\) | −0.268702 | + | 0.588376i | −0.00889762 | + | 0.0194831i | ||||
\(913\) | 17.0163 | + | 10.9357i | 0.563159 | + | 0.361920i | ||||
\(914\) | 14.7703 | − | 4.33694i | 0.488557 | − | 0.143453i | ||||
\(915\) | −3.58744 | − | 4.14013i | −0.118597 | − | 0.136869i | ||||
\(916\) | −2.14009 | − | 0.628388i | −0.0707107 | − | 0.0207625i | ||||
\(917\) | 0.0439978 | + | 0.0963417i | 0.00145293 | + | 0.00318148i | ||||
\(918\) | 0.231859 | − | 1.61262i | 0.00765250 | − | 0.0532243i | ||||
\(919\) | −17.0596 | −0.562745 | −0.281373 | − | 0.959599i | \(-0.590790\pi\) | ||||
−0.281373 | + | 0.959599i | \(0.590790\pi\) | |||||||
\(920\) | 2.99989 | + | 6.57923i | 0.0989035 | + | 0.216911i | ||||
\(921\) | 1.80120 | 0.0593516 | ||||||||
\(922\) | −5.11122 | + | 35.5493i | −0.168329 | + | 1.17075i | ||||
\(923\) | 0.141861 | + | 0.310632i | 0.00466940 | + | 0.0102246i | ||||
\(924\) | −4.38862 | − | 1.28861i | −0.144375 | − | 0.0423923i | ||||
\(925\) | 2.85462 | + | 3.29441i | 0.0938594 | + | 0.108319i | ||||
\(926\) | 15.3064 | − | 4.49435i | 0.502998 | − | 0.147694i | ||||
\(927\) | −2.43901 | − | 1.56746i | −0.0801077 | − | 0.0514821i | ||||
\(928\) | −2.99438 | + | 6.55677i | −0.0982952 | + | 0.215236i | ||||
\(929\) | −37.4975 | + | 43.2744i | −1.23025 | + | 1.41979i | −0.355879 | + | 0.934532i | \(0.615818\pi\) |
−0.874373 | + | 0.485254i | \(0.838727\pi\) | |||||||
\(930\) | 0.906843 | − | 0.582793i | 0.0297366 | − | 0.0191105i | ||||
\(931\) | 0.0920533 | + | 0.640245i | 0.00301693 | + | 0.0209832i | ||||
\(932\) | −2.16576 | − | 15.0632i | −0.0709419 | − | 0.493412i | ||||
\(933\) | 12.5313 | − | 8.05337i | 0.410256 | − | 0.263655i | ||||
\(934\) | −10.6967 | + | 12.3447i | −0.350007 | + | 0.403930i | ||||
\(935\) | −4.66735 | + | 10.2201i | −0.152639 | + | 0.334232i | ||||
\(936\) | 0.448802 | + | 0.288428i | 0.0146696 | + | 0.00942755i | ||||
\(937\) | −6.18988 | + | 1.81751i | −0.202215 | + | 0.0593756i | −0.381271 | − | 0.924463i | \(-0.624514\pi\) |
0.179057 | + | 0.983839i | \(0.442695\pi\) | |||||||
\(938\) | −1.27656 | − | 1.47322i | −0.0416810 | − | 0.0481025i | ||||
\(939\) | −5.66276 | − | 1.66274i | −0.184797 | − | 0.0542614i | ||||
\(940\) | 5.97732 | + | 13.0885i | 0.194959 | + | 0.426900i | ||||
\(941\) | 0.441806 | − | 3.07283i | 0.0144025 | − | 0.100171i | −0.981352 | − | 0.192218i | \(-0.938432\pi\) |
0.995755 | + | 0.0920469i | \(0.0293410\pi\) | |||||||
\(942\) | −1.15705 | −0.0376987 | ||||||||
\(943\) | −3.32568 | + | 3.83342i | −0.108299 | + | 0.124833i | ||||
\(944\) | 11.3841 | 0.370520 | ||||||||
\(945\) | −0.214574 | + | 1.49240i | −0.00698010 | + | 0.0485477i | ||||
\(946\) | 7.34321 | + | 16.0794i | 0.238748 | + | 0.522786i | ||||
\(947\) | 20.0727 | + | 5.89386i | 0.652274 | + | 0.191525i | 0.591095 | − | 0.806602i | \(-0.298696\pi\) |
0.0611788 | + | 0.998127i | \(0.480514\pi\) | |||||||
\(948\) | 2.37774 | + | 2.74406i | 0.0772255 | + | 0.0891230i | ||||
\(949\) | −2.20898 | + | 0.648616i | −0.0717066 | + | 0.0210550i | ||||
\(950\) | 1.48373 | + | 0.953536i | 0.0481386 | + | 0.0309368i | ||||
\(951\) | −0.437361 | + | 0.957687i | −0.0141824 | + | 0.0310551i | ||||
\(952\) | 1.06690 | − | 1.23127i | 0.0345784 | − | 0.0399056i | ||||
\(953\) | 10.4331 | − | 6.70493i | 0.337960 | − | 0.217194i | −0.360642 | − | 0.932704i | \(-0.617442\pi\) |
0.698602 | + | 0.715511i | \(0.253806\pi\) | |||||||
\(954\) | 0.464586 | + | 3.23127i | 0.0150415 | + | 0.104616i | ||||
\(955\) | 3.80137 | + | 26.4391i | 0.123010 | + | 0.855550i | ||||
\(956\) | 20.7339 | − | 13.3248i | 0.670581 | − | 0.430956i | ||||
\(957\) | 21.5903 | − | 24.9166i | 0.697916 | − | 0.805438i | ||||
\(958\) | −1.71489 | + | 3.75509i | −0.0554056 | + | 0.121321i | ||||
\(959\) | −8.33036 | − | 5.35360i | −0.269001 | − | 0.172877i | ||||
\(960\) | −1.44667 | + | 0.424780i | −0.0466910 | + | 0.0137097i | ||||
\(961\) | 19.9659 | + | 23.0419i | 0.644063 | + | 0.743288i | ||||
\(962\) | −0.818334 | − | 0.240284i | −0.0263841 | − | 0.00774708i | ||||
\(963\) | 4.01213 | + | 8.78535i | 0.129289 | + | 0.283104i | ||||
\(964\) | 0.485748 | − | 3.37845i | 0.0156449 | − | 0.108813i | ||||
\(965\) | 11.7906 | 0.379553 | ||||||||
\(966\) | −0.685350 | + | 4.74661i | −0.0220508 | + | 0.152720i | ||||
\(967\) | 27.7918 | 0.893725 | 0.446863 | − | 0.894603i | \(-0.352541\pi\) | ||||
0.446863 | + | 0.894603i | \(0.352541\pi\) | |||||||
\(968\) | −1.41184 | + | 9.81953i | −0.0453781 | + | 0.315612i | ||||
\(969\) | 0.437770 | + | 0.958582i | 0.0140632 | + | 0.0307941i | ||||
\(970\) | 13.9205 | + | 4.08743i | 0.446961 | + | 0.131239i | ||||
\(971\) | −31.8336 | − | 36.7380i | −1.02159 | − | 1.17898i | −0.983722 | − | 0.179695i | \(-0.942489\pi\) |
−0.0378679 | − | 0.999283i | \(-0.512057\pi\) | |||||||
\(972\) | −0.959493 | + | 0.281733i | −0.0307758 | + | 0.00903658i | ||||
\(973\) | 13.1986 | + | 8.48225i | 0.423129 | + | 0.271928i | ||||
\(974\) | 5.74540 | − | 12.5807i | 0.184094 | − | 0.403110i | ||||
\(975\) | 0.952612 | − | 1.09937i | 0.0305080 | − | 0.0352081i | ||||
\(976\) | 3.05658 | − | 1.96434i | 0.0978387 | − | 0.0628771i | ||||
\(977\) | −0.696835 | − | 4.84660i | −0.0222937 | − | 0.155056i | 0.975634 | − | 0.219406i | \(-0.0704119\pi\) |
−0.997927 | + | 0.0643495i | \(0.979503\pi\) | |||||||
\(978\) | 0.0304894 | + | 0.212059i | 0.000974944 | + | 0.00678089i | ||||
\(979\) | −36.8467 | + | 23.6799i | −1.17763 | + | 0.756814i | ||||
\(980\) | −0.987362 | + | 1.13948i | −0.0315401 | + | 0.0363992i | ||||
\(981\) | 6.72551 | − | 14.7268i | 0.214729 | − | 0.470191i | ||||
\(982\) | −32.4224 | − | 20.8366i | −1.03464 | − | 0.664922i | ||||
\(983\) | −48.0573 | + | 14.1109i | −1.53279 | + | 0.450067i | −0.935903 | − | 0.352258i | \(-0.885414\pi\) |
−0.596886 | + | 0.802326i | \(0.703596\pi\) | |||||||
\(984\) | −0.692975 | − | 0.799736i | −0.0220912 | − | 0.0254947i | ||||
\(985\) | −17.0608 | − | 5.00949i | −0.543601 | − | 0.159616i | ||||
\(986\) | 4.87844 | + | 10.6823i | 0.155361 | + | 0.340193i | ||||
\(987\) | −1.35815 | + | 9.44613i | −0.0432303 | + | 0.300674i | ||||
\(988\) | −0.345078 | −0.0109784 | ||||||||
\(989\) | 15.5982 | − | 10.0112i | 0.495994 | − | 0.318338i | ||||
\(990\) | 6.89626 | 0.219178 | ||||||||
\(991\) | −0.113611 | + | 0.790179i | −0.00360896 | + | 0.0251009i | −0.991546 | − | 0.129753i | \(-0.958582\pi\) |
0.987937 | + | 0.154854i | \(0.0494907\pi\) | |||||||
\(992\) | 0.297002 | + | 0.650345i | 0.00942984 | + | 0.0206485i | ||||
\(993\) | 2.75668 | + | 0.809435i | 0.0874806 | + | 0.0256866i | ||||
\(994\) | −0.419180 | − | 0.483760i | −0.0132956 | − | 0.0153439i | ||||
\(995\) | −4.28085 | + | 1.25697i | −0.135712 | + | 0.0398486i | ||||
\(996\) | 3.72032 | + | 2.39090i | 0.117883 | + | 0.0757587i | ||||
\(997\) | 15.5777 | − | 34.1103i | 0.493350 | − | 1.08028i | −0.485225 | − | 0.874390i | \(-0.661262\pi\) |
0.978574 | − | 0.205895i | \(-0.0660106\pi\) | |||||||
\(998\) | −6.82674 | + | 7.87848i | −0.216097 | + | 0.249389i | ||||
\(999\) | 1.34489 | − | 0.864310i | 0.0425505 | − | 0.0273456i |
(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 | 966.2.q.i.169.2 | ✓ | 40 | |
23.3 | even | 11 | inner | 966.2.q.i.463.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.i.169.2 | ✓ | 40 | 1.1 | even | 1 | trivial | |
966.2.q.i.463.2 | yes | 40 | 23.3 | even | 11 | inner |