Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(11,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bf (of order \(66\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 966.11 |
Dual form | 966.2.bf.a.527.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458227 | + | 0.888835i | −0.324015 | + | 0.628502i | ||||
\(3\) | −1.07755 | + | 1.35606i | −0.622121 | + | 0.782921i | ||||
\(4\) | −0.580057 | − | 0.814576i | −0.290028 | − | 0.407288i | ||||
\(5\) | −1.05877 | − | 1.00954i | −0.473497 | − | 0.451478i | 0.415364 | − | 0.909655i | \(-0.363654\pi\) |
−0.888861 | + | 0.458177i | \(0.848503\pi\) | |||||||
\(6\) | −0.711553 | − | 1.57914i | −0.290490 | − | 0.644682i | ||||
\(7\) | −2.64409 | + | 0.0936177i | −0.999374 | + | 0.0353842i | ||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −0.677791 | − | 2.92243i | −0.225930 | − | 0.974143i | ||||
\(10\) | 1.38247 | − | 0.478477i | 0.437175 | − | 0.151308i | ||||
\(11\) | −3.96437 | + | 2.04378i | −1.19530 | + | 0.616222i | −0.936826 | − | 0.349795i | \(-0.886251\pi\) |
−0.258478 | + | 0.966017i | \(0.583221\pi\) | |||||||
\(12\) | 1.72965 | + | 0.0911514i | 0.499307 | + | 0.0263131i | ||||
\(13\) | 2.89008 | − | 3.33533i | 0.801563 | − | 0.925053i | −0.196903 | − | 0.980423i | \(-0.563088\pi\) |
0.998466 | + | 0.0553696i | \(0.0176337\pi\) | |||||||
\(14\) | 1.12838 | − | 2.39306i | 0.301573 | − | 0.639573i | ||||
\(15\) | 2.50986 | − | 0.347934i | 0.648044 | − | 0.0898363i | ||||
\(16\) | −0.327068 | + | 0.945001i | −0.0817670 | + | 0.236250i | ||||
\(17\) | −1.34384 | − | 0.128321i | −0.325928 | − | 0.0311224i | −0.0691904 | − | 0.997603i | \(-0.522042\pi\) |
−0.256738 | + | 0.966481i | \(0.582648\pi\) | |||||||
\(18\) | 2.90814 | + | 0.736690i | 0.685456 | + | 0.173640i | ||||
\(19\) | 0.206100 | + | 2.15837i | 0.0472825 | + | 0.495164i | 0.987834 | + | 0.155513i | \(0.0497031\pi\) |
−0.940551 | + | 0.339651i | \(0.889691\pi\) | |||||||
\(20\) | −0.208196 | + | 1.44804i | −0.0465541 | + | 0.323791i | ||||
\(21\) | 2.72218 | − | 3.68643i | 0.594029 | − | 0.804444i | ||||
\(22\) | − | 4.46019i | − | 0.950915i | ||||||
\(23\) | 0.328833 | + | 4.78454i | 0.0685664 | + | 0.997647i | ||||
\(24\) | −0.873590 | + | 1.49561i | −0.178321 | + | 0.305289i | ||||
\(25\) | −0.136077 | − | 2.85660i | −0.0272154 | − | 0.571321i | ||||
\(26\) | 1.64025 | + | 4.09714i | 0.321679 | + | 0.803515i | ||||
\(27\) | 4.69334 | + | 2.22993i | 0.903233 | + | 0.429150i | ||||
\(28\) | 1.60998 | + | 2.09951i | 0.304258 | + | 0.396771i | ||||
\(29\) | 9.12689 | − | 4.16811i | 1.69482 | − | 0.773999i | 0.696411 | − | 0.717643i | \(-0.254779\pi\) |
0.998411 | − | 0.0563559i | \(-0.0179482\pi\) | |||||||
\(30\) | −0.840830 | + | 2.39029i | −0.153514 | + | 0.436405i | ||||
\(31\) | 1.85731 | + | 0.743554i | 0.333582 | + | 0.133546i | 0.532406 | − | 0.846489i | \(-0.321288\pi\) |
−0.198824 | + | 0.980035i | \(0.563712\pi\) | |||||||
\(32\) | −0.690079 | − | 0.723734i | −0.121990 | − | 0.127939i | ||||
\(33\) | 1.50031 | − | 7.57819i | 0.261171 | − | 1.31919i | ||||
\(34\) | 0.729837 | − | 1.13565i | 0.125166 | − | 0.194762i | ||||
\(35\) | 2.89400 | + | 2.57019i | 0.489175 | + | 0.434441i | ||||
\(36\) | −1.98738 | + | 2.24729i | −0.331231 | + | 0.374548i | ||||
\(37\) | −4.12826 | + | 1.00151i | −0.678682 | + | 0.164646i | −0.560260 | − | 0.828317i | \(-0.689299\pi\) |
−0.118422 | + | 0.992963i | \(0.537784\pi\) | |||||||
\(38\) | −2.01288 | − | 0.805835i | −0.326532 | − | 0.130724i | ||||
\(39\) | 1.40871 | + | 7.51308i | 0.225574 | + | 1.20306i | ||||
\(40\) | −1.19167 | − | 0.848581i | −0.188419 | − | 0.134172i | ||||
\(41\) | 1.88349 | + | 6.41457i | 0.294151 | + | 1.00179i | 0.965447 | + | 0.260598i | \(0.0839198\pi\) |
−0.671296 | + | 0.741189i | \(0.734262\pi\) | |||||||
\(42\) | 2.02925 | + | 4.10879i | 0.313120 | + | 0.634000i | ||||
\(43\) | 4.35962 | + | 0.626819i | 0.664836 | + | 0.0955890i | 0.466467 | − | 0.884538i | \(-0.345526\pi\) |
0.198369 | + | 0.980127i | \(0.436436\pi\) | |||||||
\(44\) | 3.96437 | + | 2.04378i | 0.597652 | + | 0.308111i | ||||
\(45\) | −2.23267 | + | 3.77844i | −0.332827 | + | 0.563256i | ||||
\(46\) | −4.40335 | − | 1.90013i | −0.649239 | − | 0.280158i | ||||
\(47\) | 4.96410 | − | 2.86603i | 0.724089 | − | 0.418053i | −0.0921668 | − | 0.995744i | \(-0.529379\pi\) |
0.816256 | + | 0.577691i | \(0.196046\pi\) | |||||||
\(48\) | −0.929046 | − | 1.46180i | −0.134096 | − | 0.210993i | ||||
\(49\) | 6.98247 | − | 0.495068i | 0.997496 | − | 0.0707240i | ||||
\(50\) | 2.60140 | + | 1.18802i | 0.367894 | + | 0.168012i | ||||
\(51\) | 1.62206 | − | 1.68405i | 0.227133 | − | 0.235814i | ||||
\(52\) | −4.39329 | − | 0.419508i | −0.609239 | − | 0.0581753i | ||||
\(53\) | −0.316431 | + | 0.0609871i | −0.0434652 | + | 0.00837722i | −0.210937 | − | 0.977500i | \(-0.567652\pi\) |
0.167472 | + | 0.985877i | \(0.446440\pi\) | |||||||
\(54\) | −4.13265 | + | 3.14979i | −0.562383 | + | 0.428633i | ||||
\(55\) | 6.26063 | + | 1.83829i | 0.844183 | + | 0.247874i | ||||
\(56\) | −2.60386 | + | 0.468959i | −0.347955 | + | 0.0626672i | ||||
\(57\) | −3.14896 | − | 2.04626i | −0.417090 | − | 0.271034i | ||||
\(58\) | −0.477418 | + | 10.0222i | −0.0626881 | + | 1.31599i | ||||
\(59\) | −1.81498 | + | 0.628172i | −0.236291 | + | 0.0817811i | −0.442647 | − | 0.896696i | \(-0.645961\pi\) |
0.206356 | + | 0.978477i | \(0.433839\pi\) | |||||||
\(60\) | −1.73928 | − | 1.84265i | −0.224540 | − | 0.237885i | ||||
\(61\) | −1.16561 | − | 1.48220i | −0.149242 | − | 0.189776i | 0.705684 | − | 0.708527i | \(-0.250640\pi\) |
−0.854926 | + | 0.518750i | \(0.826397\pi\) | |||||||
\(62\) | −1.51196 | + | 1.31012i | −0.192020 | + | 0.166386i | ||||
\(63\) | 2.06573 | + | 7.66373i | 0.260258 | + | 0.965539i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −6.42706 | + | 0.613710i | −0.797179 | + | 0.0761214i | ||||
\(66\) | 6.04828 | + | 4.80606i | 0.744492 | + | 0.591585i | ||||
\(67\) | 7.33101 | − | 0.349219i | 0.895626 | − | 0.0426639i | 0.405281 | − | 0.914192i | \(-0.367174\pi\) |
0.490345 | + | 0.871528i | \(0.336871\pi\) | |||||||
\(68\) | 0.674974 | + | 1.16909i | 0.0818527 | + | 0.141773i | ||||
\(69\) | −6.84246 | − | 4.70965i | −0.823735 | − | 0.566975i | ||||
\(70\) | −3.61058 | + | 1.39456i | −0.431547 | + | 0.166682i | ||||
\(71\) | −6.72059 | − | 10.4574i | −0.797588 | − | 1.24107i | −0.966811 | − | 0.255493i | \(-0.917762\pi\) |
0.169223 | − | 0.985578i | \(-0.445874\pi\) | |||||||
\(72\) | −1.08680 | − | 2.79622i | −0.128080 | − | 0.329538i | ||||
\(73\) | 8.41545 | + | 11.8178i | 0.984954 | + | 1.38317i | 0.922874 | + | 0.385103i | \(0.125834\pi\) |
0.0620802 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(74\) | 1.00151 | − | 4.12826i | 0.116423 | − | 0.479901i | ||||
\(75\) | 4.02035 | + | 2.89359i | 0.464230 | + | 0.334123i | ||||
\(76\) | 1.63861 | − | 1.41986i | 0.187961 | − | 0.162869i | ||||
\(77\) | 10.2908 | − | 5.77507i | 1.17275 | − | 0.658131i | ||||
\(78\) | −7.32340 | − | 2.19058i | −0.829212 | − | 0.248035i | ||||
\(79\) | 1.60495 | − | 8.32725i | 0.180571 | − | 0.936889i | −0.772700 | − | 0.634771i | \(-0.781094\pi\) |
0.953271 | − | 0.302118i | \(-0.0976936\pi\) | |||||||
\(80\) | 1.30030 | − | 0.670352i | 0.145378 | − | 0.0749477i | ||||
\(81\) | −8.08120 | + | 3.96159i | −0.897911 | + | 0.440177i | ||||
\(82\) | −6.56456 | − | 1.26522i | −0.724934 | − | 0.139720i | ||||
\(83\) | −9.16535 | − | 2.69119i | −1.00603 | − | 0.295396i | −0.263100 | − | 0.964768i | \(-0.584745\pi\) |
−0.742927 | + | 0.669372i | \(0.766563\pi\) | |||||||
\(84\) | −4.58189 | − | 0.0790870i | −0.499926 | − | 0.00862910i | ||||
\(85\) | 1.29327 | + | 1.49251i | 0.140275 | + | 0.161886i | ||||
\(86\) | −2.55483 | + | 3.58776i | −0.275495 | + | 0.386878i | ||||
\(87\) | −4.18244 | + | 16.8679i | −0.448404 | + | 1.80843i | ||||
\(88\) | −3.63316 | + | 2.58716i | −0.387296 | + | 0.275793i | ||||
\(89\) | 0.0688079 | − | 0.0275465i | 0.00729362 | − | 0.00291992i | −0.368013 | − | 0.929821i | \(-0.619962\pi\) |
0.375306 | + | 0.926901i | \(0.377537\pi\) | |||||||
\(90\) | −2.33534 | − | 3.71586i | −0.246166 | − | 0.391686i | ||||
\(91\) | −7.32939 | + | 9.08948i | −0.768329 | + | 0.952837i | ||||
\(92\) | 3.70663 | − | 3.04317i | 0.386443 | − | 0.317272i | ||||
\(93\) | −3.00964 | + | 1.71740i | −0.312085 | + | 0.178087i | ||||
\(94\) | 0.272742 | + | 5.72556i | 0.0281312 | + | 0.590547i | ||||
\(95\) | 1.96074 | − | 2.49329i | 0.201168 | − | 0.255806i | ||||
\(96\) | 1.72502 | − | 0.155931i | 0.176059 | − | 0.0159147i | ||||
\(97\) | 2.52505 | + | 8.59955i | 0.256380 | + | 0.873152i | 0.982607 | + | 0.185696i | \(0.0594541\pi\) |
−0.726227 | + | 0.687455i | \(0.758728\pi\) | |||||||
\(98\) | −2.75952 | + | 6.43312i | −0.278754 | + | 0.649843i | ||||
\(99\) | 8.65981 | + | 10.2004i | 0.870344 | + | 1.02517i | ||||
\(100\) | −2.24799 | + | 1.76784i | −0.224799 | + | 0.176784i | ||||
\(101\) | 6.20069 | + | 6.50309i | 0.616992 | + | 0.647082i | 0.955884 | − | 0.293743i | \(-0.0949009\pi\) |
−0.338893 | + | 0.940825i | \(0.610052\pi\) | |||||||
\(102\) | 0.753574 | + | 2.21342i | 0.0746149 | + | 0.219161i | ||||
\(103\) | 12.6924 | + | 0.604612i | 1.25062 | + | 0.0595742i | 0.662413 | − | 0.749139i | \(-0.269532\pi\) |
0.588203 | + | 0.808713i | \(0.299835\pi\) | |||||||
\(104\) | 2.38599 | − | 3.71268i | 0.233966 | − | 0.364058i | ||||
\(105\) | −6.60374 | + | 1.15494i | −0.644459 | + | 0.112711i | ||||
\(106\) | 0.0907896 | − | 0.309201i | 0.00881827 | − | 0.0300323i | ||||
\(107\) | −7.26351 | + | 5.71209i | −0.702190 | + | 0.552209i | −0.904166 | − | 0.427182i | \(-0.859506\pi\) |
0.201975 | + | 0.979391i | \(0.435264\pi\) | |||||||
\(108\) | −0.905958 | − | 5.11657i | −0.0871759 | − | 0.492342i | ||||
\(109\) | 0.324617 | − | 3.39955i | 0.0310927 | − | 0.325617i | −0.966522 | − | 0.256585i | \(-0.917403\pi\) |
0.997614 | − | 0.0690326i | \(-0.0219912\pi\) | |||||||
\(110\) | −4.50272 | + | 4.72232i | −0.429318 | + | 0.450255i | ||||
\(111\) | 3.09029 | − | 6.67733i | 0.293317 | − | 0.633784i | ||||
\(112\) | 0.776330 | − | 2.52929i | 0.0733563 | − | 0.238996i | ||||
\(113\) | 7.51233 | − | 4.82788i | 0.706700 | − | 0.454169i | −0.137287 | − | 0.990531i | \(-0.543838\pi\) |
0.843988 | + | 0.536363i | \(0.180202\pi\) | |||||||
\(114\) | 3.26173 | − | 1.86126i | 0.305489 | − | 0.174323i | ||||
\(115\) | 4.48201 | − | 5.39770i | 0.417950 | − | 0.503339i | ||||
\(116\) | −8.68936 | − | 5.01681i | −0.806787 | − | 0.465799i | ||||
\(117\) | −11.7061 | − | 6.18540i | −1.08223 | − | 0.571840i | ||||
\(118\) | 0.273332 | − | 1.90107i | 0.0251623 | − | 0.175007i | ||||
\(119\) | 3.56524 | + | 0.213485i | 0.326825 | + | 0.0195702i | ||||
\(120\) | 2.43480 | − | 0.701584i | 0.222266 | − | 0.0640455i | ||||
\(121\) | 5.15861 | − | 7.24425i | 0.468965 | − | 0.658569i | ||||
\(122\) | 1.85155 | − | 0.356856i | 0.167631 | − | 0.0323083i | ||||
\(123\) | −10.7281 | − | 4.35787i | −0.967318 | − | 0.392936i | ||||
\(124\) | −0.471663 | − | 1.94422i | −0.0423566 | − | 0.174596i | ||||
\(125\) | −7.52984 | + | 8.68990i | −0.673489 | + | 0.777248i | ||||
\(126\) | −7.75837 | − | 1.67563i | −0.691170 | − | 0.149277i | ||||
\(127\) | 9.93743 | + | 6.38640i | 0.881804 | + | 0.566701i | 0.901342 | − | 0.433108i | \(-0.142583\pi\) |
−0.0195379 | + | 0.999809i | \(0.506220\pi\) | |||||||
\(128\) | −0.189251 | + | 0.981929i | −0.0167276 | + | 0.0867911i | ||||
\(129\) | −5.54770 | + | 5.23648i | −0.488447 | + | 0.461046i | ||||
\(130\) | 2.39956 | − | 5.99382i | 0.210456 | − | 0.525693i | ||||
\(131\) | −5.32287 | − | 1.84226i | −0.465062 | − | 0.160959i | 0.0844810 | − | 0.996425i | \(-0.473077\pi\) |
−0.549543 | + | 0.835466i | \(0.685198\pi\) | |||||||
\(132\) | −7.04327 | + | 3.17366i | −0.613038 | + | 0.276232i | ||||
\(133\) | −0.747008 | − | 5.68764i | −0.0647738 | − | 0.493181i | ||||
\(134\) | −3.04887 | + | 6.67608i | −0.263382 | + | 0.576726i | ||||
\(135\) | −2.71798 | − | 7.09907i | −0.233926 | − | 0.610991i | ||||
\(136\) | −1.34842 | + | 0.0642331i | −0.115626 | + | 0.00550795i | ||||
\(137\) | 11.0819 | − | 19.1945i | 0.946794 | − | 1.63990i | 0.194676 | − | 0.980868i | \(-0.437635\pi\) |
0.752119 | − | 0.659028i | \(-0.229032\pi\) | |||||||
\(138\) | 7.32150 | − | 3.92373i | 0.623247 | − | 0.334010i | ||||
\(139\) | −1.43579 | −0.121782 | −0.0608909 | − | 0.998144i | \(-0.519394\pi\) | ||||
−0.0608909 | + | 0.998144i | \(0.519394\pi\) | |||||||
\(140\) | 0.414929 | − | 3.84824i | 0.0350679 | − | 0.325235i | ||||
\(141\) | −1.46255 | + | 9.81989i | −0.123169 | + | 0.826984i | ||||
\(142\) | 12.3745 | − | 1.18162i | 1.03845 | − | 0.0991595i | ||||
\(143\) | −4.64068 | + | 19.1292i | −0.388073 | + | 1.59966i | ||||
\(144\) | 2.98338 | + | 0.315320i | 0.248615 | + | 0.0262767i | ||||
\(145\) | −13.8711 | − | 4.80085i | −1.15194 | − | 0.398689i | ||||
\(146\) | −14.3603 | + | 2.06470i | −1.18847 | + | 0.170876i | ||||
\(147\) | −6.85259 | + | 10.0021i | −0.565192 | + | 0.824959i | ||||
\(148\) | 3.21043 | + | 2.78185i | 0.263896 | + | 0.228667i | ||||
\(149\) | 0.970045 | − | 20.3638i | 0.0794692 | − | 1.66826i | −0.509774 | − | 0.860308i | \(-0.670271\pi\) |
0.589243 | − | 0.807956i | \(-0.299426\pi\) | |||||||
\(150\) | −4.41416 | + | 2.24751i | −0.360415 | + | 0.183508i | ||||
\(151\) | −6.07896 | − | 17.5640i | −0.494699 | − | 1.42934i | −0.865633 | − | 0.500680i | \(-0.833083\pi\) |
0.370934 | − | 0.928659i | \(-0.379038\pi\) | |||||||
\(152\) | 0.511170 | + | 2.10707i | 0.0414614 | + | 0.170906i | ||||
\(153\) | 0.535832 | + | 4.01424i | 0.0433194 | + | 0.324532i | ||||
\(154\) | 0.417553 | + | 11.7932i | 0.0336474 | + | 0.950320i | ||||
\(155\) | −1.21582 | − | 2.66227i | −0.0976569 | − | 0.213839i | ||||
\(156\) | 5.30285 | − | 5.50552i | 0.424567 | − | 0.440794i | ||||
\(157\) | 5.43185 | − | 3.86800i | 0.433509 | − | 0.308700i | −0.342390 | − | 0.939558i | \(-0.611236\pi\) |
0.775898 | + | 0.630858i | \(0.217297\pi\) | |||||||
\(158\) | 6.66613 | + | 5.24230i | 0.530329 | + | 0.417055i | ||||
\(159\) | 0.258267 | − | 0.494816i | 0.0204819 | − | 0.0392414i | ||||
\(160\) | 1.46293i | 0.115655i | ||||||||
\(161\) | −1.31738 | − | 12.6200i | −0.103824 | − | 0.994596i | ||||
\(162\) | 0.181814 | − | 8.99816i | 0.0142847 | − | 0.706962i | ||||
\(163\) | 16.6881 | + | 8.60329i | 1.30711 | + | 0.673862i | 0.964117 | − | 0.265476i | \(-0.0855292\pi\) |
0.342992 | + | 0.939338i | \(0.388559\pi\) | |||||||
\(164\) | 4.13262 | − | 5.25506i | 0.322704 | − | 0.410351i | ||||
\(165\) | −9.23894 | + | 6.50894i | −0.719250 | + | 0.506721i | ||||
\(166\) | 6.59183 | − | 6.91331i | 0.511625 | − | 0.536577i | ||||
\(167\) | 4.89961 | − | 2.23758i | 0.379143 | − | 0.173149i | −0.216722 | − | 0.976233i | \(-0.569537\pi\) |
0.595865 | + | 0.803084i | \(0.296809\pi\) | |||||||
\(168\) | 2.16984 | − | 4.03631i | 0.167407 | − | 0.311408i | ||||
\(169\) | −0.921768 | − | 6.41104i | −0.0709052 | − | 0.493157i | ||||
\(170\) | −1.91921 | + | 0.465595i | −0.147197 | + | 0.0357095i | ||||
\(171\) | 6.16800 | − | 2.06524i | 0.471679 | − | 0.157933i | ||||
\(172\) | −2.01824 | − | 3.91484i | −0.153889 | − | 0.298503i | ||||
\(173\) | 17.5080 | + | 0.834009i | 1.33111 | + | 0.0634085i | 0.701035 | − | 0.713127i | \(-0.252722\pi\) |
0.630073 | + | 0.776536i | \(0.283025\pi\) | |||||||
\(174\) | −13.0763 | − | 11.4468i | −0.991313 | − | 0.867782i | ||||
\(175\) | 0.627229 | + | 7.54039i | 0.0474140 | + | 0.570000i | ||||
\(176\) | −0.634751 | − | 4.41479i | −0.0478462 | − | 0.332777i | ||||
\(177\) | 1.10389 | − | 3.13811i | 0.0829735 | − | 0.235875i | ||||
\(178\) | −0.00704527 | + | 0.0737814i | −0.000528065 | + | 0.00553015i | ||||
\(179\) | −5.38357 | − | 1.30604i | −0.402387 | − | 0.0976179i | 0.0294578 | − | 0.999566i | \(-0.490622\pi\) |
−0.431844 | + | 0.901948i | \(0.642137\pi\) | |||||||
\(180\) | 4.37290 | − | 0.373027i | 0.325937 | − | 0.0278038i | ||||
\(181\) | 14.8664 | + | 2.13746i | 1.10501 | + | 0.158876i | 0.670585 | − | 0.741833i | \(-0.266043\pi\) |
0.434423 | + | 0.900709i | \(0.356952\pi\) | |||||||
\(182\) | −4.72053 | − | 10.6797i | −0.349909 | − | 0.791630i | ||||
\(183\) | 3.26595 | + | 0.0164956i | 0.241426 | + | 0.00121939i | ||||
\(184\) | 1.00640 | + | 4.68905i | 0.0741926 | + | 0.345681i | ||||
\(185\) | 5.38194 | + | 3.10726i | 0.395688 | + | 0.228450i | ||||
\(186\) | −0.147395 | − | 3.46203i | −0.0108076 | − | 0.253848i | ||||
\(187\) | 5.58973 | − | 2.23779i | 0.408761 | − | 0.163643i | ||||
\(188\) | −5.21406 | − | 2.38118i | −0.380274 | − | 0.173666i | ||||
\(189\) | −12.6184 | − | 5.45676i | −0.917853 | − | 0.396921i | ||||
\(190\) | 1.31766 | + | 2.88527i | 0.0955929 | + | 0.209319i | ||||
\(191\) | 7.52252 | − | 21.7349i | 0.544311 | − | 1.57268i | −0.251957 | − | 0.967738i | \(-0.581074\pi\) |
0.796268 | − | 0.604944i | \(-0.206805\pi\) | |||||||
\(192\) | −0.651851 | + | 1.60471i | −0.0470433 | + | 0.115810i | ||||
\(193\) | −8.71320 | + | 8.30802i | −0.627190 | + | 0.598025i | −0.935528 | − | 0.353252i | \(-0.885076\pi\) |
0.308338 | + | 0.951277i | \(0.400227\pi\) | |||||||
\(194\) | −8.80063 | − | 1.69618i | −0.631848 | − | 0.121779i | ||||
\(195\) | 6.09323 | − | 9.37678i | 0.436345 | − | 0.671485i | ||||
\(196\) | −4.45350 | − | 5.40059i | −0.318107 | − | 0.385756i | ||||
\(197\) | −0.702662 | − | 0.608860i | −0.0500626 | − | 0.0433795i | 0.629470 | − | 0.777025i | \(-0.283272\pi\) |
−0.679533 | + | 0.733645i | \(0.737817\pi\) | |||||||
\(198\) | −13.0346 | + | 3.02308i | −0.926328 | + | 0.214841i | ||||
\(199\) | 2.90725 | − | 7.26196i | 0.206089 | − | 0.514786i | −0.788928 | − | 0.614485i | \(-0.789364\pi\) |
0.995018 | + | 0.0996989i | \(0.0317880\pi\) | |||||||
\(200\) | −0.541229 | − | 2.80816i | −0.0382706 | − | 0.198567i | ||||
\(201\) | −7.42594 | + | 10.3176i | −0.523785 | + | 0.727746i | ||||
\(202\) | −8.62150 | + | 2.53150i | −0.606607 | + | 0.178116i | ||||
\(203\) | −23.7422 | + | 11.8753i | −1.66637 | + | 0.833484i | ||||
\(204\) | −2.31267 | − | 0.344443i | −0.161919 | − | 0.0241158i | ||||
\(205\) | 4.48156 | − | 8.69301i | 0.313005 | − | 0.607146i | ||||
\(206\) | −6.35338 | + | 11.0044i | −0.442661 | + | 0.766711i | ||||
\(207\) | 13.7596 | − | 4.20391i | 0.956360 | − | 0.292192i | ||||
\(208\) | 2.20664 | + | 3.82200i | 0.153003 | + | 0.265008i | ||||
\(209\) | −5.22829 | − | 8.13537i | −0.361648 | − | 0.562735i | ||||
\(210\) | 1.99946 | − | 6.39887i | 0.137976 | − | 0.441564i | ||||
\(211\) | 1.83369 | − | 4.01523i | 0.126237 | − | 0.276420i | −0.835953 | − | 0.548802i | \(-0.815084\pi\) |
0.962189 | + | 0.272382i | \(0.0878115\pi\) | |||||||
\(212\) | 0.233227 | + | 0.222381i | 0.0160181 | + | 0.0152732i | ||||
\(213\) | 21.4227 | + | 2.15486i | 1.46786 | + | 0.147648i | ||||
\(214\) | −1.74877 | − | 9.07350i | −0.119544 | − | 0.620252i | ||||
\(215\) | −3.98304 | − | 5.06485i | −0.271641 | − | 0.345420i | ||||
\(216\) | 4.96292 | + | 1.53930i | 0.337684 | + | 0.104736i | ||||
\(217\) | −4.98051 | − | 1.79215i | −0.338099 | − | 0.121659i | ||||
\(218\) | 2.87289 | + | 1.84629i | 0.194577 | + | 0.125047i | ||||
\(219\) | −25.0937 | − | 1.32242i | −1.69568 | − | 0.0893610i | ||||
\(220\) | −2.13410 | − | 6.16607i | −0.143881 | − | 0.415716i | ||||
\(221\) | −4.31178 | + | 4.11128i | −0.290042 | + | 0.276554i | ||||
\(222\) | 4.51900 | + | 5.80649i | 0.303295 | + | 0.389706i | ||||
\(223\) | −2.26342 | − | 2.61213i | −0.151570 | − | 0.174921i | 0.674887 | − | 0.737921i | \(-0.264192\pi\) |
−0.826457 | + | 0.563000i | \(0.809647\pi\) | |||||||
\(224\) | 1.89239 | + | 1.84902i | 0.126441 | + | 0.123543i | ||||
\(225\) | −8.25599 | + | 2.33385i | −0.550399 | + | 0.155590i | ||||
\(226\) | 0.848843 | + | 8.88949i | 0.0564642 | + | 0.591320i | ||||
\(227\) | 3.07826 | + | 2.42077i | 0.204311 | + | 0.160672i | 0.715072 | − | 0.699051i | \(-0.246394\pi\) |
−0.510761 | + | 0.859723i | \(0.670636\pi\) | |||||||
\(228\) | 0.159742 | + | 3.75202i | 0.0105791 | + | 0.248483i | ||||
\(229\) | −13.0204 | + | 7.51731i | −0.860410 | + | 0.496758i | −0.864150 | − | 0.503235i | \(-0.832143\pi\) |
0.00373951 | + | 0.999993i | \(0.498810\pi\) | |||||||
\(230\) | 2.74389 | + | 6.45714i | 0.180927 | + | 0.425771i | ||||
\(231\) | −3.25751 | + | 20.1779i | −0.214329 | + | 1.32761i | ||||
\(232\) | 8.44081 | − | 5.42458i | 0.554166 | − | 0.356141i | ||||
\(233\) | −1.88727 | − | 4.71418i | −0.123639 | − | 0.308836i | 0.853616 | − | 0.520903i | \(-0.174405\pi\) |
−0.977255 | + | 0.212067i | \(0.931980\pi\) | |||||||
\(234\) | 10.8619 | − | 7.57051i | 0.710062 | − | 0.494900i | ||||
\(235\) | −8.14921 | − | 1.97698i | −0.531596 | − | 0.128964i | ||||
\(236\) | 1.56449 | + | 1.11407i | 0.101840 | + | 0.0725196i | ||||
\(237\) | 9.56284 | + | 11.1494i | 0.621173 | + | 0.724231i | ||||
\(238\) | −1.82344 | + | 3.07109i | −0.118196 | + | 0.199069i | ||||
\(239\) | 7.44590 | − | 25.3584i | 0.481635 | − | 1.64030i | −0.257160 | − | 0.966369i | \(-0.582787\pi\) |
0.738795 | − | 0.673930i | \(-0.235395\pi\) | |||||||
\(240\) | −0.492098 | + | 2.48562i | −0.0317648 | + | 0.160446i | ||||
\(241\) | −6.40216 | − | 12.4185i | −0.412399 | − | 0.799943i | 0.587558 | − | 0.809182i | \(-0.300089\pi\) |
−0.999957 | + | 0.00923907i | \(0.997059\pi\) | |||||||
\(242\) | 4.07514 | + | 7.90467i | 0.261960 | + | 0.508131i | ||||
\(243\) | 3.33570 | − | 15.2274i | 0.213986 | − | 0.976837i | ||||
\(244\) | −0.531241 | + | 1.80924i | −0.0340092 | + | 0.115825i | ||||
\(245\) | −7.89262 | − | 6.52489i | −0.504241 | − | 0.416860i | ||||
\(246\) | 8.78932 | − | 7.53860i | 0.560387 | − | 0.480644i | ||||
\(247\) | 7.79452 | + | 5.55045i | 0.495954 | + | 0.353167i | ||||
\(248\) | 1.94422 | + | 0.471663i | 0.123458 | + | 0.0299506i | ||||
\(249\) | 13.5255 | − | 9.52887i | 0.857143 | − | 0.603868i | ||||
\(250\) | −4.27352 | − | 10.6747i | −0.270281 | − | 0.675129i | ||||
\(251\) | 0.350401 | − | 0.225189i | 0.0221171 | − | 0.0142138i | −0.529536 | − | 0.848288i | \(-0.677634\pi\) |
0.551653 | + | 0.834074i | \(0.313997\pi\) | |||||||
\(252\) | 5.04445 | − | 6.12810i | 0.317770 | − | 0.386034i | ||||
\(253\) | −11.0822 | − | 18.2957i | −0.696729 | − | 1.15024i | ||||
\(254\) | −10.2300 | + | 5.90632i | −0.641890 | + | 0.370596i | ||||
\(255\) | −3.41749 | + | 0.145499i | −0.214012 | + | 0.00911152i | ||||
\(256\) | −0.786053 | − | 0.618159i | −0.0491283 | − | 0.0386349i | ||||
\(257\) | −0.950385 | − | 9.95288i | −0.0592834 | − | 0.620844i | −0.975476 | − | 0.220106i | \(-0.929360\pi\) |
0.916193 | − | 0.400738i | \(-0.131246\pi\) | |||||||
\(258\) | −2.11227 | − | 7.33048i | −0.131504 | − | 0.456376i | ||||
\(259\) | 10.8218 | − | 3.03455i | 0.672431 | − | 0.188558i | ||||
\(260\) | 4.22798 | + | 4.87934i | 0.262208 | + | 0.302604i | ||||
\(261\) | −18.3671 | − | 23.8476i | −1.13690 | − | 1.47613i | ||||
\(262\) | 4.07655 | − | 3.88698i | 0.251850 | − | 0.240139i | ||||
\(263\) | 3.88054 | + | 11.2121i | 0.239284 | + | 0.691367i | 0.999147 | + | 0.0412835i | \(0.0131447\pi\) |
−0.759863 | + | 0.650083i | \(0.774734\pi\) | |||||||
\(264\) | 0.406553 | − | 7.71457i | 0.0250216 | − | 0.474799i | ||||
\(265\) | 0.396597 | + | 0.254877i | 0.0243627 | + | 0.0156570i | ||||
\(266\) | 5.39768 | + | 1.94226i | 0.330953 | + | 0.119088i | ||||
\(267\) | −0.0367889 | + | 0.122990i | −0.00225145 | + | 0.00752687i | ||||
\(268\) | −4.53687 | − | 5.76910i | −0.277133 | − | 0.352404i | ||||
\(269\) | 4.27975 | + | 22.2054i | 0.260941 | + | 1.35389i | 0.841758 | + | 0.539855i | \(0.181521\pi\) |
−0.580817 | + | 0.814034i | \(0.697267\pi\) | |||||||
\(270\) | 7.55536 | + | 0.837150i | 0.459804 | + | 0.0509473i | ||||
\(271\) | 15.2007 | + | 14.4939i | 0.923379 | + | 0.880440i | 0.993117 | − | 0.117125i | \(-0.0373678\pi\) |
−0.0697380 | + | 0.997565i | \(0.522216\pi\) | |||||||
\(272\) | 0.560789 | − | 1.22796i | 0.0340028 | − | 0.0744558i | ||||
\(273\) | −4.42812 | − | 19.7334i | −0.268002 | − | 1.19432i | ||||
\(274\) | 11.9827 | + | 18.6454i | 0.723901 | + | 1.12641i | ||||
\(275\) | 6.37772 | + | 11.0465i | 0.384591 | + | 0.666131i | ||||
\(276\) | 0.132648 | + | 8.30556i | 0.00798447 | + | 0.499936i | ||||
\(277\) | −12.8217 | + | 22.2079i | −0.770383 | + | 1.33434i | 0.166970 | + | 0.985962i | \(0.446602\pi\) |
−0.937353 | + | 0.348381i | \(0.886732\pi\) | |||||||
\(278\) | 0.657916 | − | 1.27618i | 0.0394591 | − | 0.0765401i | ||||
\(279\) | 0.914118 | − | 5.93183i | 0.0547268 | − | 0.355129i | ||||
\(280\) | 3.23032 | + | 2.13217i | 0.193048 | + | 0.127421i | ||||
\(281\) | −11.5867 | + | 3.40217i | −0.691207 | + | 0.202957i | −0.608425 | − | 0.793611i | \(-0.708199\pi\) |
−0.0827816 | + | 0.996568i | \(0.526380\pi\) | |||||||
\(282\) | −8.05809 | − | 5.79970i | −0.479852 | − | 0.345367i | ||||
\(283\) | −5.57097 | − | 28.9049i | −0.331160 | − | 1.71822i | −0.641094 | − | 0.767462i | \(-0.721519\pi\) |
0.309935 | − | 0.950758i | \(-0.399693\pi\) | |||||||
\(284\) | −4.62006 | + | 11.5403i | −0.274150 | + | 0.684794i | ||||
\(285\) | 1.26825 | + | 5.34551i | 0.0751249 | + | 0.316641i | ||||
\(286\) | −14.8762 | − | 12.8903i | −0.879648 | − | 0.762219i | ||||
\(287\) | −5.58064 | − | 16.7844i | −0.329415 | − | 0.990752i | ||||
\(288\) | −1.64733 | + | 2.50725i | −0.0970700 | + | 0.147741i | ||||
\(289\) | −14.9034 | − | 2.87239i | −0.876668 | − | 0.168964i | ||||
\(290\) | 10.6233 | − | 10.1293i | 0.623821 | − | 0.594812i | ||||
\(291\) | −14.3824 | − | 5.84228i | −0.843108 | − | 0.342480i | ||||
\(292\) | 4.74509 | − | 13.7100i | 0.277686 | − | 0.802320i | ||||
\(293\) | 5.56119 | + | 12.1773i | 0.324888 | + | 0.711406i | 0.999645 | − | 0.0266337i | \(-0.00847877\pi\) |
−0.674757 | + | 0.738040i | \(0.735751\pi\) | |||||||
\(294\) | −5.75018 | − | 10.6741i | −0.335357 | − | 0.622523i | ||||
\(295\) | 2.55581 | + | 1.16720i | 0.148805 | + | 0.0679571i | ||||
\(296\) | −3.94371 | + | 1.57882i | −0.229224 | + | 0.0917673i | ||||
\(297\) | −23.1636 | + | 0.751870i | −1.34409 | + | 0.0436279i | ||||
\(298\) | 17.6555 | + | 10.1934i | 1.02276 | + | 0.590489i | ||||
\(299\) | 16.9084 | + | 12.7309i | 0.977837 | + | 0.736249i | ||||
\(300\) | 0.0250182 | − | 4.95333i | 0.00144442 | − | 0.285981i | ||||
\(301\) | −11.5859 | − | 1.24923i | −0.667802 | − | 0.0720045i | ||||
\(302\) | 18.3971 | + | 2.64510i | 1.05863 | + | 0.152208i | ||||
\(303\) | −15.5001 | + | 1.40112i | −0.890458 | + | 0.0804921i | ||||
\(304\) | −2.10707 | − | 0.511170i | −0.120849 | − | 0.0293176i | ||||
\(305\) | −0.262215 | + | 2.74604i | −0.0150144 | + | 0.157238i | ||||
\(306\) | −3.81353 | − | 1.36317i | −0.218005 | − | 0.0779270i | ||||
\(307\) | −0.571460 | − | 3.97459i | −0.0326149 | − | 0.226842i | 0.966994 | − | 0.254798i | \(-0.0820091\pi\) |
−0.999609 | + | 0.0279565i | \(0.991100\pi\) | |||||||
\(308\) | −10.6735 | − | 5.03280i | −0.608180 | − | 0.286771i | ||||
\(309\) | −14.4965 | + | 16.5601i | −0.824677 | + | 0.942071i | ||||
\(310\) | 2.92344 | + | 0.139261i | 0.166040 | + | 0.00790947i | ||||
\(311\) | 9.21315 | + | 17.8710i | 0.522430 | + | 1.01337i | 0.991487 | + | 0.130205i | \(0.0415635\pi\) |
−0.469057 | + | 0.883168i | \(0.655406\pi\) | |||||||
\(312\) | 2.46359 | + | 7.23613i | 0.139474 | + | 0.409665i | ||||
\(313\) | 26.4143 | − | 6.40803i | 1.49302 | − | 0.362203i | 0.595566 | − | 0.803306i | \(-0.296928\pi\) |
0.897457 | + | 0.441103i | \(0.145413\pi\) | |||||||
\(314\) | 0.949000 | + | 6.60044i | 0.0535552 | + | 0.372484i | ||||
\(315\) | 5.54967 | − | 10.1996i | 0.312688 | − | 0.574680i | ||||
\(316\) | −7.71414 | + | 3.52293i | −0.433954 | + | 0.198180i | ||||
\(317\) | −1.89692 | + | 1.98944i | −0.106542 | + | 0.111738i | −0.774845 | − | 0.632151i | \(-0.782172\pi\) |
0.668304 | + | 0.743889i | \(0.267021\pi\) | |||||||
\(318\) | 0.321465 | + | 0.456294i | 0.0180269 | + | 0.0255877i | ||||
\(319\) | −27.6637 | + | 35.1773i | −1.54887 | + | 1.96955i | ||||
\(320\) | −1.30030 | − | 0.670352i | −0.0726891 | − | 0.0374738i | ||||
\(321\) | 0.0808366 | − | 16.0048i | 0.00451186 | − | 0.893300i | ||||
\(322\) | 11.8208 | + | 4.61188i | 0.658746 | + | 0.257010i | ||||
\(323\) | − | 2.92694i | − | 0.162860i | ||||||
\(324\) | 7.91457 | + | 4.28480i | 0.439699 | + | 0.238044i | ||||
\(325\) | −9.92098 | − | 7.80194i | −0.550317 | − | 0.432774i | ||||
\(326\) | −15.2938 | + | 10.8907i | −0.847047 | + | 0.603179i | ||||
\(327\) | 4.26019 | + | 4.10337i | 0.235589 | + | 0.226917i | ||||
\(328\) | 2.77720 | + | 6.08123i | 0.153345 | + | 0.335780i | ||||
\(329\) | −12.8573 | + | 8.04278i | −0.708843 | + | 0.443413i | ||||
\(330\) | −1.55185 | − | 11.1945i | −0.0854267 | − | 0.616235i | ||||
\(331\) | 4.22079 | + | 17.3983i | 0.231995 | + | 0.956298i | 0.962042 | + | 0.272901i | \(0.0879832\pi\) |
−0.730047 | + | 0.683397i | \(0.760502\pi\) | |||||||
\(332\) | 3.12425 | + | 9.02692i | 0.171465 | + | 0.495416i | ||||
\(333\) | 5.72493 | + | 11.3857i | 0.313724 | + | 0.623935i | ||||
\(334\) | −0.256294 | + | 5.38026i | −0.0140238 | + | 0.294395i | ||||
\(335\) | −8.11441 | − | 7.03118i | −0.443338 | − | 0.384154i | ||||
\(336\) | 2.59334 | + | 3.77817i | 0.141478 | + | 0.206116i | ||||
\(337\) | 15.5184 | − | 2.23121i | 0.845342 | − | 0.121542i | 0.293983 | − | 0.955811i | \(-0.405019\pi\) |
0.551358 | + | 0.834269i | \(0.314110\pi\) | |||||||
\(338\) | 6.12073 | + | 2.11841i | 0.332924 | + | 0.115226i | ||||
\(339\) | −1.54799 | + | 15.3894i | −0.0840751 | + | 0.835838i | ||||
\(340\) | 0.465595 | − | 1.91921i | 0.0252504 | − | 0.104084i | ||||
\(341\) | −8.88272 | + | 0.848197i | −0.481026 | + | 0.0459324i | ||||
\(342\) | −0.990685 | + | 6.42868i | −0.0535701 | + | 0.347623i | ||||
\(343\) | −18.4160 | + | 1.96269i | −0.994369 | + | 0.105975i | ||||
\(344\) | 4.40445 | 0.237472 | ||||||||
\(345\) | 2.49003 | + | 11.8941i | 0.134059 | + | 0.640359i | ||||
\(346\) | −8.76392 | + | 15.1796i | −0.471151 | + | 0.816058i | ||||
\(347\) | 13.3496 | − | 0.635921i | 0.716645 | − | 0.0341380i | 0.313908 | − | 0.949454i | \(-0.398362\pi\) |
0.402738 | + | 0.915315i | \(0.368059\pi\) | |||||||
\(348\) | 16.1663 | − | 6.37745i | 0.866603 | − | 0.341867i | ||||
\(349\) | −12.5375 | + | 27.4533i | −0.671118 | + | 1.46954i | 0.200670 | + | 0.979659i | \(0.435688\pi\) |
−0.871788 | + | 0.489884i | \(0.837039\pi\) | |||||||
\(350\) | −6.98958 | − | 2.89770i | −0.373609 | − | 0.154889i | ||||
\(351\) | 21.0017 | − | 9.20916i | 1.12099 | − | 0.491548i | ||||
\(352\) | 4.21488 | + | 1.45878i | 0.224654 | + | 0.0777535i | ||||
\(353\) | 4.72347 | − | 11.7987i | 0.251405 | − | 0.627979i | −0.747955 | − | 0.663749i | \(-0.768964\pi\) |
0.999360 | + | 0.0357700i | \(0.0113884\pi\) | |||||||
\(354\) | 2.28343 | + | 2.41914i | 0.121363 | + | 0.128576i | ||||
\(355\) | −3.44160 | + | 17.8567i | −0.182661 | + | 0.947736i | ||||
\(356\) | −0.0623512 | − | 0.0400707i | −0.00330461 | − | 0.00212374i | ||||
\(357\) | −4.13121 | + | 4.60464i | −0.218647 | + | 0.243703i | ||||
\(358\) | 3.62775 | − | 4.18664i | 0.191732 | − | 0.221271i | ||||
\(359\) | −2.98298 | − | 12.2960i | −0.157436 | − | 0.648959i | −0.994759 | − | 0.102250i | \(-0.967396\pi\) |
0.837323 | − | 0.546709i | \(-0.184119\pi\) | |||||||
\(360\) | −1.67222 | + | 4.05772i | −0.0881337 | + | 0.213861i | ||||
\(361\) | 14.0406 | − | 2.70609i | 0.738976 | − | 0.142426i | ||||
\(362\) | −8.71202 | + | 12.2343i | −0.457893 | + | 0.643021i | ||||
\(363\) | 4.26500 | + | 14.8014i | 0.223854 | + | 0.776872i | ||||
\(364\) | 11.6555 | + | 0.697929i | 0.610916 | + | 0.0365814i | ||||
\(365\) | 3.02051 | − | 21.0081i | 0.158101 | − | 1.09961i | ||||
\(366\) | −1.51121 | + | 2.89534i | −0.0789921 | + | 0.151342i | ||||
\(367\) | 19.3144 | + | 11.1512i | 1.00820 | + | 0.582086i | 0.910665 | − | 0.413146i | \(-0.135570\pi\) |
0.0975371 | + | 0.995232i | \(0.468904\pi\) | |||||||
\(368\) | −4.62895 | − | 1.25412i | −0.241301 | − | 0.0653757i | ||||
\(369\) | 17.4695 | − | 9.85210i | 0.909427 | − | 0.512880i | ||||
\(370\) | −5.22799 | + | 3.35983i | −0.271790 | + | 0.174669i | ||||
\(371\) | 0.830964 | − | 0.190879i | 0.0431415 | − | 0.00990996i | ||||
\(372\) | 3.14472 | + | 1.45538i | 0.163046 | + | 0.0754582i | ||||
\(373\) | −21.7223 | + | 22.7817i | −1.12474 | + | 1.17959i | −0.142925 | + | 0.989734i | \(0.545651\pi\) |
−0.981812 | + | 0.189856i | \(0.939198\pi\) | |||||||
\(374\) | −0.572335 | + | 5.99376i | −0.0295947 | + | 0.309930i | ||||
\(375\) | −3.67027 | − | 19.5747i | −0.189532 | − | 1.01083i | ||||
\(376\) | 4.50570 | − | 3.54332i | 0.232364 | − | 0.182733i | ||||
\(377\) | 12.4754 | − | 42.4874i | 0.642516 | − | 2.18821i | ||||
\(378\) | 10.6322 | − | 8.71524i | 0.546864 | − | 0.448264i | ||||
\(379\) | −11.9260 | + | 18.5571i | −0.612595 | + | 0.953216i | 0.386921 | + | 0.922113i | \(0.373539\pi\) |
−0.999516 | + | 0.0311036i | \(0.990098\pi\) | |||||||
\(380\) | −3.16831 | − | 0.150925i | −0.162531 | − | 0.00774230i | ||||
\(381\) | −19.3684 | + | 6.59410i | −0.992271 | + | 0.337826i | ||||
\(382\) | 15.8717 | + | 16.6458i | 0.812069 | + | 0.851673i | ||||
\(383\) | −26.7171 | + | 21.0105i | −1.36518 | + | 1.07359i | −0.376040 | + | 0.926604i | \(0.622714\pi\) |
−0.989139 | + | 0.146985i | \(0.953043\pi\) | |||||||
\(384\) | −1.12763 | − | 1.31471i | −0.0575439 | − | 0.0670909i | ||||
\(385\) | −16.7258 | − | 4.27450i | −0.852425 | − | 0.217849i | ||||
\(386\) | −3.39184 | − | 11.5516i | −0.172640 | − | 0.587959i | ||||
\(387\) | −1.12308 | − | 13.1655i | −0.0570893 | − | 0.669242i | ||||
\(388\) | 5.54031 | − | 7.04507i | 0.281266 | − | 0.357659i | ||||
\(389\) | 1.00826 | + | 21.1659i | 0.0511207 | + | 1.07316i | 0.868069 | + | 0.496444i | \(0.165361\pi\) |
−0.816948 | + | 0.576711i | \(0.804336\pi\) | |||||||
\(390\) | 5.54233 | + | 9.71256i | 0.280647 | + | 0.491815i | ||||
\(391\) | 0.172059 | − | 6.47184i | 0.00870140 | − | 0.327295i | ||||
\(392\) | 6.84094 | − | 1.48374i | 0.345520 | − | 0.0749401i | ||||
\(393\) | 8.23386 | − | 5.23301i | 0.415343 | − | 0.263970i | ||||
\(394\) | 0.863154 | − | 0.345555i | 0.0434851 | − | 0.0174088i | ||||
\(395\) | −10.1059 | + | 7.19640i | −0.508484 | + | 0.362090i | ||||
\(396\) | 3.28578 | − | 12.9709i | 0.165117 | − | 0.651810i | ||||
\(397\) | 15.7925 | − | 22.1774i | 0.792602 | − | 1.11305i | −0.198520 | − | 0.980097i | \(-0.563614\pi\) |
0.991122 | − | 0.132956i | \(-0.0424470\pi\) | |||||||
\(398\) | 5.12251 | + | 5.91169i | 0.256768 | + | 0.296326i | ||||
\(399\) | 8.51772 | + | 5.11571i | 0.426419 | + | 0.256106i | ||||
\(400\) | 2.74400 | + | 0.805711i | 0.137200 | + | 0.0402855i | ||||
\(401\) | −5.86052 | − | 1.12952i | −0.292661 | − | 0.0564057i | 0.0408077 | − | 0.999167i | \(-0.487007\pi\) |
−0.333468 | + | 0.942761i | \(0.608219\pi\) | |||||||
\(402\) | −5.76787 | − | 11.3282i | −0.287675 | − | 0.565001i | ||||
\(403\) | 7.84776 | − | 4.04580i | 0.390925 | − | 0.201536i | ||||
\(404\) | 1.70051 | − | 8.82310i | 0.0846037 | − | 0.438965i | ||||
\(405\) | 12.5555 | + | 3.96384i | 0.623888 | + | 0.196965i | ||||
\(406\) | 0.324080 | − | 26.5445i | 0.0160838 | − | 1.31738i | ||||
\(407\) | 14.3191 | − | 12.4076i | 0.709772 | − | 0.615021i | ||||
\(408\) | 1.36588 | − | 1.89775i | 0.0676211 | − | 0.0939527i | ||||
\(409\) | 7.56208 | − | 31.1713i | 0.373921 | − | 1.54132i | −0.405069 | − | 0.914286i | \(-0.632753\pi\) |
0.778990 | − | 0.627036i | \(-0.215732\pi\) | |||||||
\(410\) | 5.67308 | + | 7.96673i | 0.280174 | + | 0.393449i | ||||
\(411\) | 14.0876 | + | 35.7107i | 0.694888 | + | 1.76148i | ||||
\(412\) | −6.86979 | − | 10.6896i | −0.338450 | − | 0.526639i | ||||
\(413\) | 4.74018 | − | 1.83086i | 0.233249 | − | 0.0900908i | ||||
\(414\) | −2.56844 | + | 14.1564i | −0.126232 | + | 0.695748i | ||||
\(415\) | 6.98715 | + | 12.1021i | 0.342986 | + | 0.594069i | ||||
\(416\) | −4.40827 | + | 0.209992i | −0.216133 | + | 0.0102957i | ||||
\(417\) | 1.54713 | − | 1.94701i | 0.0757631 | − | 0.0953455i | ||||
\(418\) | 9.62675 | − | 0.919243i | 0.470860 | − | 0.0449616i | ||||
\(419\) | −28.3092 | + | 8.31234i | −1.38300 | + | 0.406084i | −0.886811 | − | 0.462133i | \(-0.847084\pi\) |
−0.496185 | + | 0.868217i | \(0.665266\pi\) | |||||||
\(420\) | 4.77133 | + | 4.70932i | 0.232817 | + | 0.229791i | ||||
\(421\) | −8.77872 | + | 7.60680i | −0.427849 | + | 0.370733i | −0.842002 | − | 0.539474i | \(-0.818623\pi\) |
0.414154 | + | 0.910207i | \(0.364078\pi\) | |||||||
\(422\) | 2.72863 | + | 3.46973i | 0.132828 | + | 0.168904i | ||||
\(423\) | −11.7404 | − | 12.5647i | −0.570837 | − | 0.610916i | ||||
\(424\) | −0.304531 | + | 0.105399i | −0.0147893 | + | 0.00511864i | ||||
\(425\) | −0.183697 | + | 3.85627i | −0.00891060 | + | 0.187056i | ||||
\(426\) | −11.7317 | + | 18.0538i | −0.568405 | + | 0.874710i | ||||
\(427\) | 3.22075 | + | 3.80995i | 0.155863 | + | 0.184377i | ||||
\(428\) | 8.86618 | + | 2.60335i | 0.428563 | + | 0.125837i | ||||
\(429\) | −20.9397 | − | 26.9056i | −1.01098 | − | 1.29901i | ||||
\(430\) | 6.32696 | − | 1.21942i | 0.305113 | − | 0.0588057i | ||||
\(431\) | 36.1990 | + | 3.45659i | 1.74364 | + | 0.166498i | 0.917706 | − | 0.397261i | \(-0.130039\pi\) |
0.825939 | + | 0.563759i | \(0.190645\pi\) | |||||||
\(432\) | −3.64232 | + | 3.70587i | −0.175241 | + | 0.178299i | ||||
\(433\) | −2.80361 | − | 1.28036i | −0.134733 | − | 0.0615304i | 0.346908 | − | 0.937899i | \(-0.387232\pi\) |
−0.481641 | + | 0.876369i | \(0.659959\pi\) | |||||||
\(434\) | 3.87513 | − | 3.60564i | 0.186012 | − | 0.173076i | ||||
\(435\) | 21.4570 | − | 13.6370i | 1.02879 | − | 0.653842i | ||||
\(436\) | −2.95748 | + | 1.70750i | −0.141638 | + | 0.0817746i | ||||
\(437\) | −10.2591 | + | 1.69584i | −0.490757 | + | 0.0811228i | ||||
\(438\) | 12.6740 | − | 21.6982i | 0.605588 | − | 1.03678i | ||||
\(439\) | −23.1799 | − | 11.9501i | −1.10632 | − | 0.570346i | −0.194483 | − | 0.980906i | \(-0.562303\pi\) |
−0.911834 | + | 0.410560i | \(0.865333\pi\) | |||||||
\(440\) | 6.45852 | + | 0.928595i | 0.307898 | + | 0.0442690i | ||||
\(441\) | −6.17946 | − | 20.0702i | −0.294260 | − | 0.955725i | ||||
\(442\) | −1.67848 | − | 5.71636i | −0.0798369 | − | 0.271900i | ||||
\(443\) | −5.56832 | − | 3.96518i | −0.264559 | − | 0.188391i | 0.440078 | − | 0.897959i | \(-0.354951\pi\) |
−0.704637 | + | 0.709568i | \(0.748890\pi\) | |||||||
\(444\) | −7.23174 | + | 1.35596i | −0.343203 | + | 0.0643509i | ||||
\(445\) | −0.100661 | − | 0.0402986i | −0.00477179 | − | 0.00191034i | ||||
\(446\) | 3.35891 | − | 0.814862i | 0.159049 | − | 0.0385849i | ||||
\(447\) | 26.5692 | + | 23.2583i | 1.25668 | + | 1.10008i | ||||
\(448\) | −2.51061 | + | 0.834753i | −0.118615 | + | 0.0394384i | ||||
\(449\) | −7.42316 | + | 11.5507i | −0.350321 | + | 0.545109i | −0.971038 | − | 0.238925i | \(-0.923205\pi\) |
0.620718 | + | 0.784034i | \(0.286841\pi\) | |||||||
\(450\) | 1.70870 | − | 8.40765i | 0.0805490 | − | 0.396341i | ||||
\(451\) | −20.5768 | − | 21.5803i | −0.968924 | − | 1.01618i | ||||
\(452\) | −8.29025 | − | 3.31892i | −0.389941 | − | 0.156109i | ||||
\(453\) | 30.3682 | + | 10.6826i | 1.42682 | + | 0.501912i | ||||
\(454\) | −3.56221 | + | 1.62680i | −0.167183 | + | 0.0763497i | ||||
\(455\) | 16.9363 | − | 2.22439i | 0.793986 | − | 0.104281i | ||||
\(456\) | −3.40812 | − | 1.57729i | −0.159600 | − | 0.0738633i | ||||
\(457\) | −8.05012 | − | 20.1082i | −0.376569 | − | 0.940623i | −0.988706 | − | 0.149871i | \(-0.952114\pi\) |
0.612137 | − | 0.790752i | \(-0.290310\pi\) | |||||||
\(458\) | −0.715376 | − | 15.0176i | −0.0334273 | − | 0.701726i | ||||
\(459\) | −6.02093 | − | 3.59891i | −0.281033 | − | 0.167983i | ||||
\(460\) | −6.99666 | − | 0.519962i | −0.326221 | − | 0.0242434i | ||||
\(461\) | 9.57011i | 0.445724i | 0.974850 | + | 0.222862i | \(0.0715400\pi\) | ||||
−0.974850 | + | 0.222862i | \(0.928460\pi\) | |||||||
\(462\) | −16.4422 | − | 12.1414i | −0.764958 | − | 0.564871i | ||||
\(463\) | −2.64763 | + | 18.4146i | −0.123046 | + | 0.855801i | 0.831028 | + | 0.556230i | \(0.187753\pi\) |
−0.954074 | + | 0.299571i | \(0.903156\pi\) | |||||||
\(464\) | 0.953755 | + | 9.98818i | 0.0442770 | + | 0.463690i | ||||
\(465\) | 4.92030 | + | 1.22000i | 0.228173 | + | 0.0565760i | ||||
\(466\) | 5.05493 | + | 0.482687i | 0.234165 | + | 0.0223600i | ||||
\(467\) | −4.05758 | + | 11.7236i | −0.187763 | + | 0.542504i | −0.999115 | − | 0.0420525i | \(-0.986610\pi\) |
0.811353 | + | 0.584557i | \(0.198732\pi\) | |||||||
\(468\) | 1.75175 | + | 13.1234i | 0.0809746 | + | 0.606630i | ||||
\(469\) | −19.3512 | + | 1.60968i | −0.893555 | + | 0.0743282i | ||||
\(470\) | 5.49139 | − | 6.33740i | 0.253299 | − | 0.292322i | ||||
\(471\) | −0.607826 | + | 11.5338i | −0.0280071 | + | 0.531452i | ||||
\(472\) | −1.70711 | + | 0.880078i | −0.0785762 | + | 0.0405089i | ||||
\(473\) | −18.5643 | + | 6.42515i | −0.853585 | + | 0.295429i | ||||
\(474\) | −14.2919 | + | 3.39084i | −0.656450 | + | 0.155747i | ||||
\(475\) | 6.13757 | − | 0.882449i | 0.281611 | − | 0.0404895i | ||||
\(476\) | −1.89414 | − | 3.02799i | −0.0868179 | − | 0.138788i | ||||
\(477\) | 0.392705 | + | 0.883412i | 0.0179807 | + | 0.0404486i | ||||
\(478\) | 19.1275 | + | 18.2381i | 0.874873 | + | 0.834190i | ||||
\(479\) | 6.19060 | + | 8.69348i | 0.282856 | + | 0.397215i | 0.931421 | − | 0.363944i | \(-0.118570\pi\) |
−0.648565 | + | 0.761159i | \(0.724631\pi\) | |||||||
\(480\) | −1.98382 | − | 1.57637i | −0.0905484 | − | 0.0719512i | ||||
\(481\) | −8.59065 | + | 16.6635i | −0.391700 | + | 0.759792i | ||||
\(482\) | 13.9716 | 0.636389 | ||||||||
\(483\) | 18.5330 | + | 11.8122i | 0.843281 | + | 0.537473i | ||||
\(484\) | −8.89328 | −0.404240 | ||||||||
\(485\) | 6.00810 | − | 11.6541i | 0.272814 | − | 0.529184i | ||||
\(486\) | 12.0061 | + | 9.94248i | 0.544609 | + | 0.451000i | ||||
\(487\) | 12.4286 | + | 17.4536i | 0.563196 | + | 0.790898i | 0.993745 | − | 0.111669i | \(-0.0356197\pi\) |
−0.430550 | + | 0.902567i | \(0.641680\pi\) | |||||||
\(488\) | −1.36469 | − | 1.30123i | −0.0617766 | − | 0.0589038i | ||||
\(489\) | −29.6487 | + | 13.3596i | −1.34076 | + | 0.604140i | ||||
\(490\) | 9.41616 | − | 4.02537i | 0.425379 | − | 0.181848i | ||||
\(491\) | 29.8969 | − | 4.29852i | 1.34923 | − | 0.193989i | 0.570471 | − | 0.821318i | \(-0.306761\pi\) |
0.778755 | + | 0.627328i | \(0.215852\pi\) | |||||||
\(492\) | 2.67308 | + | 11.2666i | 0.120512 | + | 0.507940i | ||||
\(493\) | −12.7999 | + | 4.43009i | −0.576479 | + | 0.199521i | ||||
\(494\) | −8.50510 | + | 4.38468i | −0.382662 | + | 0.197276i | ||||
\(495\) | 1.12887 | − | 19.5422i | 0.0507388 | − | 0.878358i | ||||
\(496\) | −1.31012 | + | 1.51196i | −0.0588263 | + | 0.0678892i | ||||
\(497\) | 18.7489 | + | 27.0213i | 0.841003 | + | 1.21207i | ||||
\(498\) | 2.27186 | + | 16.3883i | 0.101805 | + | 0.734378i | ||||
\(499\) | 12.1223 | − | 35.0250i | 0.542668 | − | 1.56793i | −0.256323 | − | 0.966591i | \(-0.582511\pi\) |
0.798990 | − | 0.601344i | \(-0.205368\pi\) | |||||||
\(500\) | 11.4463 | + | 1.09299i | 0.511895 | + | 0.0488800i | ||||
\(501\) | −2.24527 | + | 9.05525i | −0.100311 | + | 0.404559i | ||||
\(502\) | 0.0395930 | + | 0.414636i | 0.00176712 | + | 0.0185061i | ||||
\(503\) | −2.09902 | + | 14.5990i | −0.0935909 | + | 0.650939i | 0.887986 | + | 0.459871i | \(0.152104\pi\) |
−0.981577 | + | 0.191068i | \(0.938805\pi\) | |||||||
\(504\) | 3.13537 | + | 7.29174i | 0.139661 | + | 0.324800i | ||||
\(505\) | − | 13.1451i | − | 0.584949i | ||||||
\(506\) | 21.3400 | − | 1.46666i | 0.948678 | − | 0.0652008i | ||||
\(507\) | 9.68699 | + | 5.65821i | 0.430214 | + | 0.251290i | ||||
\(508\) | −0.562068 | − | 11.7993i | −0.0249377 | − | 0.523508i | ||||
\(509\) | 7.17783 | + | 17.9293i | 0.318152 | + | 0.794704i | 0.998110 | + | 0.0614536i | \(0.0195736\pi\) |
−0.679958 | + | 0.733251i | \(0.738002\pi\) | |||||||
\(510\) | 1.43666 | − | 3.10426i | 0.0636164 | − | 0.137459i | ||||
\(511\) | −23.3576 | − | 30.4597i | −1.03328 | − | 1.34746i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | −3.84572 | + | 10.5896i | −0.169793 | + | 0.467540i | ||||
\(514\) | 9.28197 | + | 3.71594i | 0.409410 | + | 0.163903i | ||||
\(515\) | −12.8279 | − | 13.4535i | −0.565266 | − | 0.592834i | ||||
\(516\) | 7.48349 | + | 1.48156i | 0.329442 | + | 0.0652222i | ||||
\(517\) | −13.8220 | + | 21.5075i | −0.607893 | + | 0.945900i | ||||
\(518\) | −2.26160 | + | 11.0093i | −0.0993688 | + | 0.483720i | ||||
\(519\) | −19.9966 | + | 22.8432i | −0.877755 | + | 1.00270i | ||||
\(520\) | −6.27430 | + | 1.52213i | −0.275146 | + | 0.0667498i | ||||
\(521\) | 31.2519 | + | 12.5114i | 1.36917 | + | 0.548133i | 0.935624 | − | 0.352998i | \(-0.114838\pi\) |
0.433546 | + | 0.901131i | \(0.357262\pi\) | |||||||
\(522\) | 29.6129 | − | 5.39777i | 1.29612 | − | 0.236254i | ||||
\(523\) | 16.5940 | + | 11.8165i | 0.725604 | + | 0.516700i | 0.882149 | − | 0.470971i | \(-0.156096\pi\) |
−0.156545 | + | 0.987671i | \(0.550036\pi\) | |||||||
\(524\) | 1.58691 | + | 5.40450i | 0.0693243 | + | 0.236097i | ||||
\(525\) | −10.9011 | − | 7.27455i | −0.475762 | − | 0.317488i | ||||
\(526\) | −11.7439 | − | 1.68851i | −0.512057 | − | 0.0736226i | ||||
\(527\) | −2.40050 | − | 1.23755i | −0.104568 | − | 0.0539083i | ||||
\(528\) | 6.67069 | + | 3.89638i | 0.290304 | + | 0.169568i | ||||
\(529\) | −22.7837 | + | 3.14663i | −0.990597 | + | 0.136810i | ||||
\(530\) | −0.408275 | + | 0.235718i | −0.0177343 | + | 0.0102389i | ||||
\(531\) | 3.06597 | + | 4.87840i | 0.133052 | + | 0.211704i | ||||
\(532\) | −4.19971 | + | 3.90765i | −0.182081 | + | 0.169418i | ||||
\(533\) | 26.8381 | + | 12.2566i | 1.16249 | + | 0.530890i | ||||
\(534\) | −0.0924603 | − | 0.0890566i | −0.00400115 | − | 0.00385386i | ||||
\(535\) | 13.4570 | + | 1.28498i | 0.581795 | + | 0.0555547i | ||||
\(536\) | 7.20669 | − | 1.38898i | 0.311282 | − | 0.0599946i | ||||
\(537\) | 7.57210 | − | 5.89312i | 0.326760 | − | 0.254307i | ||||
\(538\) | −21.6981 | − | 6.37113i | −0.935470 | − | 0.274679i | ||||
\(539\) | −26.6693 | + | 16.2332i | −1.14873 | + | 0.699216i | ||||
\(540\) | −4.20615 | + | 6.33187i | −0.181004 | + | 0.272480i | ||||
\(541\) | 1.55586 | − | 32.6614i | 0.0668915 | − | 1.40422i | −0.677029 | − | 0.735957i | \(-0.736733\pi\) |
0.743920 | − | 0.668268i | \(-0.232964\pi\) | |||||||
\(542\) | −19.8481 | + | 6.86948i | −0.852547 | + | 0.295069i | ||||
\(543\) | −18.9177 | + | 17.8565i | −0.811837 | + | 0.766294i | ||||
\(544\) | 0.834483 | + | 1.06113i | 0.0357782 | + | 0.0454956i | ||||
\(545\) | −3.77566 | + | 3.27163i | −0.161731 | + | 0.140141i | ||||
\(546\) | 19.5688 | + | 5.10651i | 0.837469 | + | 0.218538i | ||||
\(547\) | −15.3303 | + | 4.50137i | −0.655475 | + | 0.192465i | −0.592525 | − | 0.805552i | \(-0.701869\pi\) |
−0.0629497 | + | 0.998017i | \(0.520051\pi\) | |||||||
\(548\) | −22.0635 | + | 2.10681i | −0.942507 | + | 0.0899985i | ||||
\(549\) | −3.54158 | + | 4.41105i | −0.151151 | + | 0.188259i | ||||
\(550\) | −12.7410 | + | 0.606928i | −0.543278 | + | 0.0258795i | ||||
\(551\) | 10.8774 | + | 18.8402i | 0.463392 | + | 0.802619i | ||||
\(552\) | −7.44306 | − | 3.68793i | −0.316798 | − | 0.156969i | ||||
\(553\) | −3.46405 | + | 22.1683i | −0.147306 | + | 0.942692i | ||||
\(554\) | −13.8639 | − | 21.5727i | −0.589021 | − | 0.916534i | ||||
\(555\) | −10.0129 | + | 3.95001i | −0.425024 | + | 0.167668i | ||||
\(556\) | 0.832838 | + | 1.16956i | 0.0353202 | + | 0.0496003i | ||||
\(557\) | 3.51226 | − | 14.4777i | 0.148819 | − | 0.613441i | −0.847729 | − | 0.530429i | \(-0.822031\pi\) |
0.996549 | − | 0.0830119i | \(-0.0264540\pi\) | |||||||
\(558\) | 4.85354 | + | 3.53062i | 0.205467 | + | 0.149463i | ||||
\(559\) | 14.6903 | − | 12.7292i | 0.621333 | − | 0.538388i | ||||
\(560\) | −3.37536 | + | 1.89421i | −0.142635 | + | 0.0800448i | ||||
\(561\) | −2.98861 | + | 9.99132i | −0.126179 | + | 0.421834i | ||||
\(562\) | 2.28538 | − | 11.8577i | 0.0964029 | − | 0.500186i | ||||
\(563\) | 9.07683 | − | 4.67943i | 0.382543 | − | 0.197214i | −0.256220 | − | 0.966619i | \(-0.582477\pi\) |
0.638762 | + | 0.769404i | \(0.279447\pi\) | |||||||
\(564\) | 8.84741 | − | 4.50474i | 0.372543 | − | 0.189684i | ||||
\(565\) | −12.8277 | − | 2.47235i | −0.539667 | − | 0.104012i | ||||
\(566\) | 28.2445 | + | 8.29333i | 1.18720 | + | 0.348595i | ||||
\(567\) | 20.9966 | − | 11.2314i | 0.881773 | − | 0.471673i | ||||
\(568\) | −8.14044 | − | 9.39457i | −0.341565 | − | 0.394187i | ||||
\(569\) | −7.69847 | + | 10.8110i | −0.322736 | + | 0.453220i | −0.943789 | − | 0.330549i | \(-0.892766\pi\) |
0.621052 | + | 0.783769i | \(0.286705\pi\) | |||||||
\(570\) | −5.33243 | − | 1.32219i | −0.223351 | − | 0.0553803i | ||||
\(571\) | −11.1397 | + | 7.93256i | −0.466183 | + | 0.331967i | −0.788893 | − | 0.614530i | \(-0.789345\pi\) |
0.322710 | + | 0.946498i | \(0.395406\pi\) | |||||||
\(572\) | 18.2740 | − | 7.31581i | 0.764075 | − | 0.305889i | ||||
\(573\) | 21.3679 | + | 33.6213i | 0.892659 | + | 1.40455i | ||||
\(574\) | 17.4758 | + | 2.73079i | 0.729424 | + | 0.113981i | ||||
\(575\) | 13.6228 | − | 1.59041i | 0.568110 | − | 0.0663247i | ||||
\(576\) | −1.47368 | − | 2.61310i | −0.0614033 | − | 0.108879i | ||||
\(577\) | −0.231813 | − | 4.86635i | −0.00965050 | − | 0.202589i | −0.998543 | − | 0.0539578i | \(-0.982816\pi\) |
0.988893 | − | 0.148631i | \(-0.0474867\pi\) | |||||||
\(578\) | 9.38219 | − | 11.9304i | 0.390248 | − | 0.496240i | ||||
\(579\) | −1.87729 | − | 20.7679i | −0.0780177 | − | 0.863084i | ||||
\(580\) | 4.13540 | + | 14.0839i | 0.171713 | + | 0.584801i | ||||
\(581\) | 24.4860 | + | 6.25772i | 1.01585 | + | 0.259614i | ||||
\(582\) | 11.7832 | − | 10.1065i | 0.488429 | − | 0.418926i | ||||
\(583\) | 1.12981 | − | 0.888490i | 0.0467918 | − | 0.0367975i | ||||
\(584\) | 10.0116 | + | 10.4999i | 0.414285 | + | 0.434489i | ||||
\(585\) | 6.14973 | + | 18.3667i | 0.254260 | + | 0.759369i | ||||
\(586\) | −13.3719 | − | 0.636983i | −0.552389 | − | 0.0263135i | ||||
\(587\) | 18.7202 | − | 29.1293i | 0.772667 | − | 1.20229i | −0.202164 | − | 0.979352i | \(-0.564798\pi\) |
0.974832 | − | 0.222942i | \(-0.0715661\pi\) | |||||||
\(588\) | 12.1224 | − | 0.219833i | 0.499918 | − | 0.00906575i | ||||
\(589\) | −1.22208 | + | 4.16201i | −0.0503547 | + | 0.171492i | ||||
\(590\) | −2.20859 | + | 1.73686i | −0.0909263 | + | 0.0715052i | ||||
\(591\) | 1.58280 | − | 0.296776i | 0.0651077 | − | 0.0122077i | ||||
\(592\) | 0.403799 | − | 4.22877i | 0.0165960 | − | 0.173801i | ||||
\(593\) | −8.24438 | + | 8.64646i | −0.338556 | + | 0.355067i | −0.870900 | − | 0.491461i | \(-0.836463\pi\) |
0.532343 | + | 0.846528i | \(0.321312\pi\) | |||||||
\(594\) | 9.94590 | − | 20.9332i | 0.408085 | − | 0.858899i | ||||
\(595\) | −3.55925 | − | 3.82527i | −0.145915 | − | 0.156821i | ||||
\(596\) | −17.1505 | + | 11.0220i | −0.702512 | + | 0.451477i | ||||
\(597\) | 6.71495 | + | 11.7675i | 0.274824 | + | 0.481611i | ||||
\(598\) | −19.0636 | + | 9.19511i | −0.779568 | + | 0.376016i | ||||
\(599\) | −34.7195 | − | 20.0453i | −1.41860 | − | 0.819030i | −0.422425 | − | 0.906398i | \(-0.638821\pi\) |
−0.996176 | + | 0.0873680i | \(0.972154\pi\) | |||||||
\(600\) | 4.39123 | + | 2.29198i | 0.179271 | + | 0.0935698i | ||||
\(601\) | −0.957613 | + | 6.66035i | −0.0390619 | + | 0.271681i | −0.999987 | − | 0.00512769i | \(-0.998368\pi\) |
0.960925 | + | 0.276809i | \(0.0892769\pi\) | |||||||
\(602\) | 6.41934 | − | 9.72556i | 0.261633 | − | 0.396384i | ||||
\(603\) | −5.98946 | − | 21.1877i | −0.243910 | − | 0.862829i | ||||
\(604\) | −10.7811 | + | 15.1399i | −0.438676 | + | 0.616034i | ||||
\(605\) | −12.7751 | + | 2.46220i | −0.519382 | + | 0.100103i | ||||
\(606\) | 5.85720 | − | 14.4191i | 0.237932 | − | 0.585735i | ||||
\(607\) | 10.3378 | + | 42.6130i | 0.419598 | + | 1.72961i | 0.653118 | + | 0.757256i | \(0.273461\pi\) |
−0.233519 | + | 0.972352i | \(0.575024\pi\) | |||||||
\(608\) | 1.41986 | − | 1.63861i | 0.0575830 | − | 0.0664543i | ||||
\(609\) | 9.47962 | − | 44.9920i | 0.384134 | − | 1.82317i | ||||
\(610\) | −2.32062 | − | 1.49137i | −0.0939593 | − | 0.0603840i | ||||
\(611\) | 4.78751 | − | 24.8400i | 0.193682 | − | 1.00492i | ||||
\(612\) | 2.95909 | − | 2.76496i | 0.119614 | − | 0.111767i | ||||
\(613\) | −1.91367 | + | 4.78012i | −0.0772924 | + | 0.193067i | −0.961982 | − | 0.273114i | \(-0.911946\pi\) |
0.884689 | + | 0.466181i | \(0.154371\pi\) | |||||||
\(614\) | 3.79462 | + | 1.31333i | 0.153138 | + | 0.0530017i | ||||
\(615\) | 6.95915 | + | 15.4444i | 0.280620 | + | 0.622777i | ||||
\(616\) | 9.36422 | − | 7.18083i | 0.377295 | − | 0.289324i | ||||
\(617\) | 1.18039 | − | 2.58468i | 0.0475205 | − | 0.104055i | −0.884383 | − | 0.466763i | \(-0.845420\pi\) |
0.931903 | + | 0.362707i | \(0.118148\pi\) | |||||||
\(618\) | −8.07653 | − | 20.4733i | −0.324886 | − | 0.823556i | ||||
\(619\) | −29.9934 | + | 1.42876i | −1.20554 | + | 0.0574268i | −0.640710 | − | 0.767783i | \(-0.721360\pi\) |
−0.564827 | + | 0.825209i | \(0.691057\pi\) | |||||||
\(620\) | −1.46338 | + | 2.53464i | −0.0587707 | + | 0.101794i | ||||
\(621\) | −9.12586 | + | 23.1888i | −0.366208 | + | 0.930533i | ||||
\(622\) | −20.1061 | −0.806181 | ||||||||
\(623\) | −0.179356 | + | 0.0792772i | −0.00718573 | + | 0.00317617i | ||||
\(624\) | −7.56061 | − | 1.12606i | −0.302667 | − | 0.0450784i | ||||
\(625\) | 2.51067 | − | 0.239740i | 0.100427 | − | 0.00958960i | ||||
\(626\) | −6.40803 | + | 26.4143i | −0.256116 | + | 1.05573i | ||||
\(627\) | 16.6658 | + | 1.67637i | 0.665566 | + | 0.0669478i | ||||
\(628\) | −6.30156 | − | 2.18099i | −0.251460 | − | 0.0870310i | ||||
\(629\) | 5.67622 | − | 0.816117i | 0.226326 | − | 0.0325407i | ||||
\(630\) | 6.52273 | + | 9.60645i | 0.259872 | + | 0.382730i | ||||
\(631\) | 10.4586 | + | 9.06244i | 0.416351 | + | 0.360770i | 0.837702 | − | 0.546128i | \(-0.183899\pi\) |
−0.421351 | + | 0.906897i | \(0.638444\pi\) | |||||||
\(632\) | 0.403519 | − | 8.47090i | 0.0160511 | − | 0.336954i | ||||
\(633\) | 3.46900 | + | 6.81318i | 0.137880 | + | 0.270800i | ||||
\(634\) | −0.899060 | − | 2.59766i | −0.0357062 | − | 0.103166i | ||||
\(635\) | −4.07416 | − | 16.7939i | −0.161678 | − | 0.666446i | ||||
\(636\) | −0.552874 | + | 0.0766432i | −0.0219229 | + | 0.00303910i | ||||
\(637\) | 18.5287 | − | 24.7196i | 0.734133 | − | 0.979427i | ||||
\(638\) | −18.5906 | − | 40.7077i | −0.736008 | − | 1.61163i | ||||
\(639\) | −26.0060 | + | 26.7284i | −1.02878 | + | 1.05736i | ||||
\(640\) | 1.19167 | − | 0.848581i | 0.0471047 | − | 0.0335431i | ||||
\(641\) | 19.2868 | + | 15.1673i | 0.761781 | + | 0.599071i | 0.921630 | − | 0.388070i | \(-0.126858\pi\) |
−0.159849 | + | 0.987142i | \(0.551101\pi\) | |||||||
\(642\) | 14.1886 | + | 7.40567i | 0.559979 | + | 0.292278i | ||||
\(643\) | 30.1050i | 1.18723i | 0.804750 | + | 0.593613i | \(0.202299\pi\) | ||||
−0.804750 | + | 0.593613i | \(0.797701\pi\) | |||||||
\(644\) | −9.51579 | + | 8.39343i | −0.374975 | + | 0.330747i | ||||
\(645\) | 11.1602 | + | 0.0563674i | 0.439431 | + | 0.00221947i | ||||
\(646\) | 2.60157 | + | 1.34120i | 0.102357 | + | 0.0527690i | ||||
\(647\) | 14.4399 | − | 18.3619i | 0.567692 | − | 0.721880i | −0.414439 | − | 0.910077i | \(-0.636022\pi\) |
0.982131 | + | 0.188198i | \(0.0602645\pi\) | |||||||
\(648\) | −7.43515 | + | 5.07135i | −0.292080 | + | 0.199221i | ||||
\(649\) | 5.91143 | − | 6.19973i | 0.232044 | − | 0.243361i | ||||
\(650\) | 11.4807 | − | 5.24306i | 0.450310 | − | 0.205650i | ||||
\(651\) | 7.79698 | − | 4.82274i | 0.305588 | − | 0.189018i | ||||
\(652\) | −2.67199 | − | 18.5841i | −0.104643 | − | 0.727809i | ||||
\(653\) | 25.4360 | − | 6.17071i | 0.995388 | − | 0.241478i | 0.295199 | − | 0.955436i | \(-0.404614\pi\) |
0.700189 | + | 0.713957i | \(0.253099\pi\) | |||||||
\(654\) | −5.59935 | + | 1.90634i | −0.218952 | + | 0.0745438i | ||||
\(655\) | 3.77587 | + | 7.32417i | 0.147535 | + | 0.286179i | ||||
\(656\) | −6.67780 | − | 0.318103i | −0.260724 | − | 0.0124198i | ||||
\(657\) | 28.8329 | − | 32.6036i | 1.12488 | − | 1.27199i | ||||
\(658\) | −1.25717 | − | 15.1134i | −0.0490096 | − | 0.589181i | ||||
\(659\) | 1.30004 | + | 9.04199i | 0.0506424 | + | 0.352226i | 0.999349 | + | 0.0360689i | \(0.0114836\pi\) |
−0.948707 | + | 0.316157i | \(0.897607\pi\) | |||||||
\(660\) | 10.6611 | + | 3.75026i | 0.414984 | + | 0.145979i | ||||
\(661\) | −1.72417 | + | 18.0563i | −0.0670625 | + | 0.702310i | 0.897948 | + | 0.440101i | \(0.145057\pi\) |
−0.965011 | + | 0.262210i | \(0.915549\pi\) | |||||||
\(662\) | −17.3983 | − | 4.22079i | −0.676205 | − | 0.164046i | ||||
\(663\) | −0.928990 | − | 10.2771i | −0.0360790 | − | 0.399130i | ||||
\(664\) | −9.45505 | − | 1.35943i | −0.366927 | − | 0.0527562i | ||||
\(665\) | −4.95097 | + | 6.77604i | −0.191990 | + | 0.262764i | ||||
\(666\) | −12.7434 | − | 0.128731i | −0.493795 | − | 0.00498823i | ||||
\(667\) | 22.9437 | + | 42.2974i | 0.888385 | + | 1.63776i | ||||
\(668\) | −4.66473 | − | 2.69318i | −0.180484 | − | 0.104202i | ||||
\(669\) | 5.98113 | − | 0.254646i | 0.231244 | − | 0.00984518i | ||||
\(670\) | 9.96780 | − | 3.99050i | 0.385090 | − | 0.154167i | ||||
\(671\) | 7.65022 | + | 3.49374i | 0.295333 | + | 0.134874i | ||||
\(672\) | −4.54651 | + | 0.573789i | −0.175385 | + | 0.0221344i | ||||
\(673\) | −10.2332 | − | 22.4075i | −0.394459 | − | 0.863745i | −0.997802 | − | 0.0662632i | \(-0.978892\pi\) |
0.603343 | − | 0.797482i | \(-0.293835\pi\) | |||||||
\(674\) | −5.12777 | + | 14.8157i | −0.197514 | + | 0.570680i | ||||
\(675\) | 5.73136 | − | 13.7104i | 0.220600 | − | 0.527715i | ||||
\(676\) | −4.68760 | + | 4.46962i | −0.180292 | + | 0.171908i | ||||
\(677\) | 35.0652 | + | 6.75827i | 1.34767 | + | 0.259741i | 0.811491 | − | 0.584365i | \(-0.198656\pi\) |
0.536176 | + | 0.844106i | \(0.319868\pi\) | |||||||
\(678\) | −12.9693 | − | 8.42774i | −0.498084 | − | 0.323666i | ||||
\(679\) | −7.48155 | − | 22.5016i | −0.287116 | − | 0.863533i | ||||
\(680\) | 1.49251 | + | 1.29327i | 0.0572353 | + | 0.0495946i | ||||
\(681\) | −6.59967 | + | 1.56581i | −0.252900 | + | 0.0600020i | ||||
\(682\) | 3.31639 | − | 8.28394i | 0.126991 | − | 0.317208i | ||||
\(683\) | −0.254171 | − | 1.31876i | −0.00972557 | − | 0.0504611i | 0.976742 | − | 0.214419i | \(-0.0687859\pi\) |
−0.986467 | + | 0.163958i | \(0.947574\pi\) | |||||||
\(684\) | −5.26008 | − | 3.82635i | −0.201124 | − | 0.146304i | ||||
\(685\) | −31.1108 | + | 9.13494i | −1.18868 | + | 0.349028i | ||||
\(686\) | 6.69418 | − | 17.2681i | 0.255585 | − | 0.659300i | ||||
\(687\) | 3.83612 | − | 25.7566i | 0.146357 | − | 0.982677i | ||||
\(688\) | −2.01824 | + | 3.91484i | −0.0769446 | + | 0.149252i | ||||
\(689\) | −0.711099 | + | 1.23166i | −0.0270907 | + | 0.0469225i | ||||
\(690\) | −11.7129 | − | 3.23698i | −0.445904 | − | 0.123230i | ||||
\(691\) | −25.1015 | − | 43.4771i | −0.954907 | − | 1.65395i | −0.734580 | − | 0.678522i | \(-0.762621\pi\) |
−0.220327 | − | 0.975426i | \(-0.570712\pi\) | |||||||
\(692\) | −9.47627 | − | 14.7454i | −0.360234 | − | 0.560535i | ||||
\(693\) | −23.8523 | − | 26.1600i | −0.906074 | − | 0.993736i | ||||
\(694\) | −5.55192 | + | 12.1570i | −0.210748 | + | 0.461474i | ||||
\(695\) | 1.52017 | + | 1.44948i | 0.0576633 | + | 0.0549818i | ||||
\(696\) | −1.73931 | + | 17.2915i | −0.0659283 | + | 0.655431i | ||||
\(697\) | −1.70798 | − | 8.86182i | −0.0646942 | − | 0.335665i | ||||
\(698\) | −18.6565 | − | 23.7236i | −0.706158 | − | 0.897953i | ||||
\(699\) | 8.42632 | + | 2.52049i | 0.318713 | + | 0.0953337i | ||||
\(700\) | 5.77839 | − | 4.88478i | 0.218403 | − | 0.184627i | ||||
\(701\) | 13.5537 | + | 8.71043i | 0.511916 | + | 0.328988i | 0.770967 | − | 0.636875i | \(-0.219773\pi\) |
−0.259051 | + | 0.965864i | \(0.583410\pi\) | |||||||
\(702\) | −1.43809 | + | 22.8869i | −0.0542772 | + | 0.863810i | ||||
\(703\) | −3.01245 | − | 8.70391i | −0.113617 | − | 0.328274i | ||||
\(704\) | −3.22799 | + | 3.07788i | −0.121659 | + | 0.116002i | ||||
\(705\) | 11.4620 | − | 8.92052i | 0.431685 | − | 0.335966i | ||||
\(706\) | 8.32265 | + | 9.60485i | 0.313227 | + | 0.361483i | ||||
\(707\) | −17.0040 | − | 16.6143i | −0.639502 | − | 0.624845i | ||||
\(708\) | −3.19655 | + | 0.921080i | −0.120134 | + | 0.0346163i | ||||
\(709\) | −2.63637 | − | 27.6093i | −0.0990109 | − | 1.03689i | −0.899317 | − | 0.437298i | \(-0.855936\pi\) |
0.800306 | − | 0.599592i | \(-0.204670\pi\) | |||||||
\(710\) | −14.2947 | − | 11.2414i | −0.536469 | − | 0.421884i | ||||
\(711\) | −25.4236 | + | 0.953793i | −0.953461 | + | 0.0357700i | ||||
\(712\) | 0.0641872 | − | 0.0370585i | 0.00240552 | − | 0.00138883i | ||||
\(713\) | −2.94682 | + | 9.13087i | −0.110359 | + | 0.341954i | ||||
\(714\) | −2.19974 | − | 5.78193i | −0.0823230 | − | 0.216383i | ||||
\(715\) | 24.2250 | − | 15.5685i | 0.905963 | − | 0.582227i | ||||
\(716\) | 2.05891 | + | 5.14290i | 0.0769450 | + | 0.192199i | ||||
\(717\) | 26.3642 | + | 37.4219i | 0.984589 | + | 1.39755i | ||||
\(718\) | 12.2960 | + | 2.98298i | 0.458883 | + | 0.111324i | ||||
\(719\) | −14.8480 | − | 10.5732i | −0.553736 | − | 0.394314i | 0.268655 | − | 0.963237i | \(-0.413421\pi\) |
−0.822391 | + | 0.568923i | \(0.807360\pi\) | |||||||
\(720\) | −2.84039 | − | 3.34568i | −0.105855 | − | 0.124686i | ||||
\(721\) | −33.6164 | − | 0.410421i | −1.25194 | − | 0.0152849i | ||||
\(722\) | −4.02848 | + | 13.7197i | −0.149925 | + | 0.510596i | ||||
\(723\) | 23.7388 | + | 4.69975i | 0.882854 | + | 0.174785i | ||||
\(724\) | −6.88222 | − | 13.3496i | −0.255776 | − | 0.496135i | ||||
\(725\) | −13.1486 | − | 25.5047i | −0.488327 | − | 0.947222i | ||||
\(726\) | −15.1103 | − | 2.99151i | −0.560797 | − | 0.111025i | ||||
\(727\) | 8.65538 | − | 29.4775i | 0.321010 | − | 1.09326i | −0.628052 | − | 0.778172i | \(-0.716147\pi\) |
0.949062 | − | 0.315089i | \(-0.102034\pi\) | |||||||
\(728\) | −5.96122 | + | 10.0400i | −0.220938 | + | 0.372109i | ||||
\(729\) | 17.0548 | + | 20.9316i | 0.631661 | + | 0.775245i | ||||
\(730\) | 17.2887 | + | 12.3112i | 0.639882 | + | 0.455658i | ||||
\(731\) | −5.77819 | − | 1.40177i | −0.213714 | − | 0.0518464i | ||||
\(732\) | −1.88100 | − | 2.66993i | −0.0695238 | − | 0.0986836i | ||||
\(733\) | 17.6553 | + | 44.1008i | 0.652113 | + | 1.62890i | 0.771633 | + | 0.636068i | \(0.219440\pi\) |
−0.119520 | + | 0.992832i | \(0.538136\pi\) | |||||||
\(734\) | −18.7619 | + | 12.0575i | −0.692514 | + | 0.445052i | ||||
\(735\) | 17.3528 | − | 3.67200i | 0.640068 | − | 0.135444i | ||||
\(736\) | 3.23582 | − | 3.53970i | 0.119274 | − | 0.130475i | ||||
\(737\) | −28.3491 | + | 16.3674i | −1.04425 | + | 0.602900i | ||||
\(738\) | 0.751897 | + | 20.0420i | 0.0276777 | + | 0.737757i | ||||
\(739\) | 38.8358 | + | 30.5408i | 1.42860 | + | 1.12346i | 0.972327 | + | 0.233622i | \(0.0750579\pi\) |
0.456272 | + | 0.889841i | \(0.349185\pi\) | |||||||
\(740\) | −0.590728 | − | 6.18639i | −0.0217156 | − | 0.227416i | ||||
\(741\) | −15.9257 | + | 4.58896i | −0.585045 | + | 0.168580i | ||||
\(742\) | −0.211110 | + | 0.826057i | −0.00775008 | + | 0.0303255i | ||||
\(743\) | −9.65560 | − | 11.1432i | −0.354229 | − | 0.408803i | 0.550469 | − | 0.834856i | \(-0.314449\pi\) |
−0.904698 | + | 0.426053i | \(0.859904\pi\) | |||||||
\(744\) | −2.73459 | + | 2.12824i | −0.100255 | + | 0.0780251i | ||||
\(745\) | −21.5850 | + | 20.5812i | −0.790813 | + | 0.754039i | ||||
\(746\) | −10.2954 | − | 29.7467i | −0.376942 | − | 1.08910i | ||||
\(747\) | −1.65262 | + | 28.6092i | −0.0604663 | + | 1.04675i | ||||
\(748\) | −5.06521 | − | 3.25521i | −0.185202 | − | 0.119022i | ||||
\(749\) | 18.6707 | − | 15.7833i | 0.682211 | − | 0.576709i | ||||
\(750\) | 19.0805 | + | 5.70737i | 0.696720 | + | 0.208404i | ||||
\(751\) | 0.240120 | + | 0.305338i | 0.00876212 | + | 0.0111419i | 0.790414 | − | 0.612572i | \(-0.209865\pi\) |
−0.781652 | + | 0.623714i | \(0.785623\pi\) | |||||||
\(752\) | 1.08480 | + | 5.62847i | 0.0395585 | + | 0.205249i | ||||
\(753\) | −0.0722034 | + | 0.717816i | −0.00263124 | + | 0.0261587i | ||||
\(754\) | 32.0477 | + | 30.5574i | 1.16711 | + | 1.11284i | ||||
\(755\) | −11.2953 | + | 24.7332i | −0.411077 | + | 0.900133i | ||||
\(756\) | 2.87444 | + | 13.4439i | 0.104542 | + | 0.488949i | ||||
\(757\) | −7.24880 | − | 11.2794i | −0.263462 | − | 0.409955i | 0.684168 | − | 0.729324i | \(-0.260165\pi\) |
−0.947630 | + | 0.319369i | \(0.896529\pi\) | |||||||
\(758\) | −11.0295 | − | 19.1036i | −0.400608 | − | 0.693873i | ||||
\(759\) | 36.7515 | + | 4.68635i | 1.33400 | + | 0.170104i | ||||
\(760\) | 1.58595 | − | 2.74695i | 0.0575285 | − | 0.0996424i | ||||
\(761\) | 5.22623 | − | 10.1375i | 0.189451 | − | 0.367483i | −0.774911 | − | 0.632070i | \(-0.782205\pi\) |
0.964362 | + | 0.264587i | \(0.0852356\pi\) | |||||||
\(762\) | 3.01402 | − | 20.2369i | 0.109187 | − | 0.733105i | ||||
\(763\) | −0.540061 | + | 9.01911i | −0.0195515 | + | 0.326514i | ||||
\(764\) | −22.0682 | + | 6.47981i | −0.798400 | + | 0.234431i | ||||
\(765\) | 3.48520 | − | 4.79110i | 0.126008 | − | 0.173223i | ||||
\(766\) | −6.43244 | − | 33.3747i | −0.232413 | − | 1.20588i | ||||
\(767\) | −3.15029 | + | 7.86903i | −0.113750 | + | 0.284134i | ||||
\(768\) | 1.68527 | − | 0.399840i | 0.0608119 | − | 0.0144280i | ||||
\(769\) | −15.7749 | − | 13.6690i | −0.568856 | − | 0.492917i | 0.322285 | − | 0.946643i | \(-0.395549\pi\) |
−0.891141 | + | 0.453726i | \(0.850095\pi\) | |||||||
\(770\) | 11.4635 | − | 12.9078i | 0.413117 | − | 0.465164i | ||||
\(771\) | 14.5208 | + | 9.43591i | 0.522953 | + | 0.339826i | ||||
\(772\) | 11.8217 | + | 2.27844i | 0.425471 | + | 0.0820029i | ||||
\(773\) | −34.9942 | + | 33.3669i | −1.25865 | + | 1.20012i | −0.288541 | + | 0.957468i | \(0.593170\pi\) |
−0.970112 | + | 0.242656i | \(0.921981\pi\) | |||||||
\(774\) | 12.2166 | + | 5.03457i | 0.439118 | + | 0.180964i | ||||
\(775\) | 1.87130 | − | 5.40677i | 0.0672191 | − | 0.194217i | ||||
\(776\) | 3.72320 | + | 8.15266i | 0.133655 | + | 0.292663i | ||||
\(777\) | −7.54590 | + | 17.9448i | −0.270708 | + | 0.643766i | ||||
\(778\) | −19.2750 | − | 8.80262i | −0.691044 | − | 0.315589i | ||||
\(779\) | −13.4568 | + | 5.38731i | −0.482141 | + | 0.193020i | ||||
\(780\) | −11.1725 | + | 0.475668i | −0.400040 | + | 0.0170316i | ||||
\(781\) | 48.0156 | + | 27.7218i | 1.71813 | + | 0.991965i | ||||
\(782\) | 5.67356 | + | 3.11850i | 0.202886 | + | 0.111517i | ||||
\(783\) | 52.1302 | + | 0.789947i | 1.86298 | + | 0.0282304i | ||||
\(784\) | −1.81590 | + | 6.76036i | −0.0648537 | + | 0.241442i | ||||
\(785\) | −9.65596 | − | 1.38832i | −0.344636 | − | 0.0495512i | ||||
\(786\) | 0.878309 | + | 9.71645i | 0.0313282 | + | 0.346574i | ||||
\(787\) | −21.5489 | − | 5.22770i | −0.768134 | − | 0.186347i | −0.167501 | − | 0.985872i | \(-0.553570\pi\) |
−0.600633 | + | 0.799525i | \(0.705085\pi\) | |||||||
\(788\) | −0.0883788 | + | 0.925545i | −0.00314836 | + | 0.0329712i | ||||
\(789\) | −19.3857 | − | 6.81929i | −0.690149 | − | 0.242773i | ||||
\(790\) | −1.76561 | − | 12.2801i | −0.0628176 | − | 0.436906i | ||||
\(791\) | −19.4113 | + | 13.4687i | −0.690187 | + | 0.478890i | ||||
\(792\) | 10.0233 | + | 8.86411i | 0.356164 | + | 0.314972i | ||||
\(793\) | −8.31234 | − | 0.395965i | −0.295180 | − | 0.0140611i | ||||
\(794\) | 12.4756 | + | 24.1992i | 0.442741 | + | 0.858797i | ||||
\(795\) | −0.772980 | + | 0.263167i | −0.0274148 | + | 0.00933356i | ||||
\(796\) | −7.60178 | + | 1.84417i | −0.269438 | + | 0.0653650i | ||||
\(797\) | −4.06796 | − | 28.2933i | −0.144095 | − | 1.00220i | −0.925655 | − | 0.378370i | \(-0.876485\pi\) |
0.781560 | − | 0.623830i | \(-0.214424\pi\) | |||||||
\(798\) | −8.45007 | + | 5.22669i | −0.299129 | + | 0.185023i | ||||
\(799\) | −7.03871 | + | 3.21447i | −0.249012 | + | 0.113720i | ||||
\(800\) | −1.97352 | + | 2.06977i | −0.0697744 | + | 0.0731773i | ||||
\(801\) | −0.127140 | − | 0.182415i | −0.00449228 | − | 0.00644533i | ||||
\(802\) | 3.68941 | − | 4.69146i | 0.130278 | − | 0.165661i | ||||
\(803\) | −57.5150 | − | 29.6511i | −2.02966 | − | 1.04636i | ||||
\(804\) | 12.7119 | + | 0.0642051i | 0.448315 | + | 0.00226434i | ||||
\(805\) | −11.3455 | + | 14.6916i | −0.399878 | + | 0.517812i | ||||
\(806\) | 8.82926i | 0.310997i | ||||||||
\(807\) | −34.7235 | − | 18.1238i | −1.22233 | − | 0.637987i | ||||
\(808\) | 7.06306 | + | 5.55445i | 0.248478 | + | 0.195405i | ||||
\(809\) | 1.34856 | − | 0.960306i | 0.0474129 | − | 0.0337626i | −0.556105 | − | 0.831112i | \(-0.687705\pi\) |
0.603518 | + | 0.797350i | \(0.293765\pi\) | |||||||
\(810\) | −9.27647 | + | 9.34344i | −0.325942 | + | 0.328295i | ||||
\(811\) | 5.86123 | + | 12.8343i | 0.205816 | + | 0.450673i | 0.984187 | − | 0.177130i | \(-0.0566814\pi\) |
−0.778372 | + | 0.627804i | \(0.783954\pi\) | |||||||
\(812\) | 23.4452 | + | 12.4514i | 0.822764 | + | 0.436960i | ||||
\(813\) | −36.0340 | + | 4.99529i | −1.26377 | + | 0.175192i | ||||
\(814\) | 4.46690 | + | 18.4128i | 0.156565 | + | 0.645369i | ||||
\(815\) | −8.98350 | − | 25.9561i | −0.314678 | − | 0.909203i | ||||
\(816\) | 1.06091 | + | 2.08364i | 0.0371391 | + | 0.0729421i | ||||
\(817\) | −0.454393 | + | 9.53888i | −0.0158972 | + | 0.333723i | ||||
\(818\) | 24.2410 | + | 21.0050i | 0.847568 | + | 0.734422i | ||||
\(819\) | 31.5312 | + | 15.2589i | 1.10179 | + | 0.533188i | ||||
\(820\) | −9.68067 | + | 1.39187i | −0.338064 | + | 0.0486062i | ||||
\(821\) | −43.6425 | − | 15.1048i | −1.52313 | − | 0.527162i | −0.567922 | − | 0.823083i | \(-0.692252\pi\) |
−0.955213 | + | 0.295921i | \(0.904374\pi\) | |||||||
\(822\) | −38.1962 | − | 3.84207i | −1.33225 | − | 0.134008i | ||||
\(823\) | 5.91035 | − | 24.3628i | 0.206022 | − | 0.849233i | −0.771128 | − | 0.636680i | \(-0.780307\pi\) |
0.977150 | − | 0.212553i | \(-0.0681777\pi\) | |||||||
\(824\) | 12.6492 | − | 1.20785i | 0.440657 | − | 0.0420776i | ||||
\(825\) | −21.8520 | − | 3.25458i | −0.760790 | − | 0.113310i | ||||
\(826\) | −0.544743 | + | 5.05219i | −0.0189540 | + | 0.175788i | ||||
\(827\) | −35.3214 | −1.22825 | −0.614123 | − | 0.789210i | \(-0.710490\pi\) | ||||
−0.614123 | + | 0.789210i | \(0.710490\pi\) | |||||||
\(828\) | −11.4058 | − | 8.76975i | −0.396378 | − | 0.304770i | ||||
\(829\) | 15.1505 | − | 26.2415i | 0.526200 | − | 0.911406i | −0.473334 | − | 0.880883i | \(-0.656950\pi\) |
0.999534 | − | 0.0305224i | \(-0.00971710\pi\) | |||||||
\(830\) | −13.9585 | + | 0.664924i | −0.484506 | + | 0.0230798i | ||||
\(831\) | −16.2992 | − | 41.3170i | −0.565413 | − | 1.43327i | ||||
\(832\) | 1.83334 | − | 4.01445i | 0.0635596 | − | 0.139176i | ||||
\(833\) | −9.44682 | − | 0.230706i | −0.327313 | − | 0.00799348i | ||||
\(834\) | 1.02164 | + | 2.26731i | 0.0353764 | + | 0.0785106i | ||||
\(835\) | −7.44648 | − | 2.57725i | −0.257696 | − | 0.0891894i | ||||
\(836\) | −3.59417 | + | 8.97781i | −0.124307 | + | 0.310504i | ||||
\(837\) | 7.05890 | + | 7.63141i | 0.243991 | + | 0.263780i | ||||
\(838\) | 5.58373 | − | 28.9712i | 0.192887 | − | 1.00079i | ||||
\(839\) | −23.0245 | − | 14.7969i | −0.794893 | − | 0.510847i | 0.0790528 | − | 0.996870i | \(-0.474810\pi\) |
−0.873946 | + | 0.486024i | \(0.838447\pi\) | |||||||
\(840\) | −6.37216 | + | 2.08299i | −0.219860 | + | 0.0718701i | ||||
\(841\) | 46.9361 | − | 54.1671i | 1.61849 | − | 1.86783i | ||||
\(842\) | −2.73856 | − | 11.2885i | −0.0943768 | − | 0.389027i | ||||
\(843\) | 7.87169 | − | 19.3783i | 0.271116 | − | 0.667424i | ||||
\(844\) | −4.33435 | + | 0.835378i | −0.149195 | + | 0.0287549i | ||||
\(845\) | −5.49623 | + | 7.71837i | −0.189076 | + | 0.265520i | ||||
\(846\) | 16.5477 | − | 4.67780i | 0.568921 | − | 0.160826i | ||||
\(847\) | −12.9617 | + | 19.6374i | −0.445368 | + | 0.674750i | ||||
\(848\) | 0.0458616 | − | 0.318975i | 0.00157489 | − | 0.0109536i | ||||
\(849\) | 45.1998 | + | 23.5918i | 1.55125 | + | 0.809669i | ||||
\(850\) | −3.34341 | − | 1.93032i | −0.114678 | − | 0.0662094i | ||||
\(851\) | −6.14925 | − | 19.4225i | −0.210794 | − | 0.665795i | ||||
\(852\) | −10.6711 | − | 18.7003i | −0.365585 | − | 0.640663i | ||||
\(853\) | 2.26249 | − | 1.45402i | 0.0774663 | − | 0.0497846i | −0.501334 | − | 0.865254i | \(-0.667157\pi\) |
0.578801 | + | 0.815469i | \(0.303521\pi\) | |||||||
\(854\) | −4.86226 | + | 1.11690i | −0.166383 | + | 0.0382195i | ||||
\(855\) | −8.61543 | − | 4.04020i | −0.294641 | − | 0.138172i | ||||
\(856\) | −6.37667 | + | 6.68765i | −0.217950 | + | 0.228579i | ||||
\(857\) | 4.14774 | − | 43.4371i | 0.141684 | − | 1.48378i | −0.592905 | − | 0.805273i | \(-0.702019\pi\) |
0.734589 | − | 0.678512i | \(-0.237375\pi\) | |||||||
\(858\) | 33.5098 | − | 6.28311i | 1.14400 | − | 0.214502i | ||||
\(859\) | −18.9741 | + | 14.9214i | −0.647390 | + | 0.509113i | −0.887008 | − | 0.461754i | \(-0.847220\pi\) |
0.239618 | + | 0.970867i | \(0.422978\pi\) | |||||||
\(860\) | −1.81532 | + | 6.18240i | −0.0619017 | + | 0.210818i | ||||
\(861\) | 28.7740 | + | 10.5183i | 0.980616 | + | 0.358462i | ||||
\(862\) | −19.6597 | + | 30.5911i | −0.669611 | + | 1.04194i | ||||
\(863\) | 53.7166 | + | 2.55884i | 1.82854 | + | 0.0871039i | 0.933432 | − | 0.358754i | \(-0.116798\pi\) |
0.895104 | + | 0.445858i | \(0.147101\pi\) | |||||||
\(864\) | −1.62490 | − | 4.93555i | −0.0552802 | − | 0.167911i | ||||
\(865\) | −17.6950 | − | 18.5580i | −0.601648 | − | 0.630990i | ||||
\(866\) | 2.42272 | − | 1.90525i | 0.0823274 | − | 0.0647430i | ||||
\(867\) | 19.9542 | − | 17.1147i | 0.677679 | − | 0.581246i | ||||
\(868\) | 1.42914 | + | 5.09655i | 0.0485080 | + | 0.172988i | ||||
\(869\) | 10.6564 | + | 36.2925i | 0.361495 | + | 1.23114i | ||||
\(870\) | 2.28883 | + | 25.3206i | 0.0775986 | + | 0.858448i | ||||
\(871\) | 20.0224 | − | 25.4606i | 0.678434 | − | 0.862699i | ||||
\(872\) | −0.162493 | − | 3.41114i | −0.00550270 | − | 0.115516i | ||||
\(873\) | 23.4201 | − | 13.2080i | 0.792651 | − | 0.447023i | ||||
\(874\) | 3.19365 | − | 9.89569i | 0.108027 | − | 0.334727i | ||||
\(875\) | 19.0961 | − | 23.6818i | 0.645565 | − | 0.800592i | ||||
\(876\) | 13.4786 | + | 21.2078i | 0.455399 | + | 0.716546i | ||||
\(877\) | −14.6650 | + | 5.87099i | −0.495202 | + | 0.198249i | −0.605801 | − | 0.795616i | \(-0.707147\pi\) |
0.110599 | + | 0.993865i | \(0.464723\pi\) | |||||||
\(878\) | 21.2433 | − | 15.1273i | 0.716926 | − | 0.510521i | ||||
\(879\) | −22.5056 | − | 5.58031i | −0.759095 | − | 0.188219i | ||||
\(880\) | −3.78483 | + | 5.31505i | −0.127587 | + | 0.179170i | ||||
\(881\) | −19.5034 | − | 22.5081i | −0.657086 | − | 0.758318i | 0.325212 | − | 0.945641i | \(-0.394564\pi\) |
−0.982298 | + | 0.187323i | \(0.940019\pi\) | |||||||
\(882\) | 20.6707 | + | 3.70419i | 0.696020 | + | 0.124727i | ||||
\(883\) | −39.4621 | − | 11.5871i | −1.32801 | − | 0.389938i | −0.460631 | − | 0.887592i | \(-0.652377\pi\) |
−0.867376 | + | 0.497654i | \(0.834195\pi\) | |||||||
\(884\) | 5.85003 | + | 1.12750i | 0.196758 | + | 0.0379219i | ||||
\(885\) | −4.33680 | + | 2.20812i | −0.145780 | + | 0.0742252i | ||||
\(886\) | 6.07594 | − | 3.13237i | 0.204125 | − | 0.105234i | ||||
\(887\) | 0.456836 | − | 2.37029i | 0.0153391 | − | 0.0795866i | −0.973453 | − | 0.228889i | \(-0.926491\pi\) |
0.988792 | + | 0.149302i | \(0.0477028\pi\) | |||||||
\(888\) | 2.10855 | − | 7.04916i | 0.0707583 | − | 0.236554i | ||||
\(889\) | −26.8734 | − | 15.9559i | −0.901304 | − | 0.535144i | ||||
\(890\) | 0.0819443 | − | 0.0710051i | 0.00274678 | − | 0.00238010i | ||||
\(891\) | 23.9403 | − | 32.2214i | 0.802029 | − | 1.07946i | ||||
\(892\) | −0.814862 | + | 3.35891i | −0.0272836 | + | 0.112465i | ||||
\(893\) | 7.20905 | + | 10.1237i | 0.241242 | + | 0.338777i | ||||
\(894\) | −32.8475 | + | 12.9581i | −1.09859 | + | 0.433382i | ||||
\(895\) | 4.38147 | + | 6.81770i | 0.146456 | + | 0.227891i | ||||
\(896\) | 0.408472 | − | 2.61403i | 0.0136461 | − | 0.0873286i | ||||
\(897\) | −35.4835 | + | 9.21058i | −1.18476 | + | 0.307532i | ||||
\(898\) | −6.86515 | − | 11.8908i | −0.229093 | − | 0.396801i | ||||
\(899\) | 20.0507 | − | 0.955131i | 0.668727 | − | 0.0318554i | ||||
\(900\) | 6.69005 | + | 5.37136i | 0.223002 | + | 0.179045i | ||||
\(901\) | 0.433058 | − | 0.0413520i | 0.0144272 | − | 0.00137763i | ||||
\(902\) | 28.6102 | − | 8.40071i | 0.952615 | − | 0.279713i | ||||
\(903\) | 14.1784 | − | 14.3651i | 0.471828 | − | 0.478041i | ||||
\(904\) | 6.74878 | − | 5.84785i | 0.224461 | − | 0.194497i | ||||
\(905\) | −13.5822 | − | 17.2712i | −0.451489 | − | 0.574114i | ||||
\(906\) | −23.4106 | + | 22.0973i | −0.777764 | + | 0.734133i | ||||
\(907\) | 16.0267 | − | 5.54691i | 0.532159 | − | 0.184182i | −0.0477558 | − | 0.998859i | \(-0.515207\pi\) |
0.579915 | + | 0.814677i | \(0.303086\pi\) | |||||||
\(908\) | 0.186335 | − | 3.91166i | 0.00618376 | − | 0.129813i | ||||
\(909\) | 14.8021 | − | 22.5288i | 0.490954 | − | 0.747234i | ||||
\(910\) | −5.78354 | + | 16.0729i | −0.191723 | + | 0.532810i | ||||
\(911\) | −23.6023 | − | 6.93026i | −0.781979 | − | 0.229610i | −0.133709 | − | 0.991021i | \(-0.542689\pi\) |
−0.648270 | + | 0.761411i | \(0.724507\pi\) | |||||||
\(912\) | 2.96364 | − | 2.30650i | 0.0981360 | − | 0.0763760i | ||||
\(913\) | 41.8351 | − | 8.06305i | 1.38454 | − | 0.266848i | ||||
\(914\) | 21.5617 | + | 2.05889i | 0.713197 | + | 0.0681021i | ||||
\(915\) | −3.44124 | − | 3.31456i | −0.113764 | − | 0.109576i | ||||
\(916\) | 13.6760 | + | 6.24561i | 0.451867 | + | 0.206361i | ||||
\(917\) | 14.2466 | + | 4.37281i | 0.470466 | + | 0.144403i | ||||
\(918\) | 5.95779 | − | 3.70250i | 0.196636 | − | 0.122201i | ||||
\(919\) | 41.8760 | − | 24.1771i | 1.38136 | − | 0.797529i | 0.389040 | − | 0.921221i | \(-0.372807\pi\) |
0.992321 | + | 0.123692i | \(0.0394735\pi\) | |||||||
\(920\) | 3.66822 | − | 5.98062i | 0.120938 | − | 0.197175i | ||||
\(921\) | 6.00555 | + | 3.50787i | 0.197890 | + | 0.115588i | ||||
\(922\) | −8.50625 | − | 4.38528i | −0.280138 | − | 0.144421i | ||||
\(923\) | −54.3021 | − | 7.80746i | −1.78737 | − | 0.256986i | ||||
\(924\) | 18.3260 | − | 9.05084i | 0.602880 | − | 0.297751i | ||||
\(925\) | 3.42266 | + | 11.6565i | 0.112536 | + | 0.383264i | ||||
\(926\) | −15.1544 | − | 10.7914i | −0.498004 | − | 0.354627i | ||||
\(927\) | −6.83584 | − | 37.5024i | −0.224518 | − | 1.23174i | ||||
\(928\) | −9.31488 | − | 3.72912i | −0.305776 | − | 0.122414i | ||||
\(929\) | 20.1166 | − | 4.88024i | 0.660005 | − | 0.160116i | 0.108253 | − | 0.994123i | \(-0.465474\pi\) |
0.551753 | + | 0.834008i | \(0.313959\pi\) | |||||||
\(930\) | −3.33899 | + | 3.81430i | −0.109490 | + | 0.125076i | ||||
\(931\) | 2.50763 | + | 14.9687i | 0.0821841 | + | 0.490581i | ||||
\(932\) | −2.74533 | + | 4.27182i | −0.0899263 | + | 0.139928i | ||||
\(933\) | −34.1617 | − | 6.76326i | −1.11841 | − | 0.221419i | ||||
\(934\) | −8.56107 | − | 8.97859i | −0.280127 | − | 0.293789i | ||||
\(935\) | −8.17737 | − | 3.27372i | −0.267429 | − | 0.107062i | ||||
\(936\) | −12.4673 | − | 4.45648i | −0.407505 | − | 0.145665i | ||||
\(937\) | 11.6146 | − | 5.30421i | 0.379433 | − | 0.173281i | −0.216563 | − | 0.976269i | \(-0.569485\pi\) |
0.595996 | + | 0.802988i | \(0.296757\pi\) | |||||||
\(938\) | 7.43649 | − | 17.9376i | 0.242810 | − | 0.585684i | ||||
\(939\) | −19.7729 | + | 42.7242i | −0.645265 | + | 1.39425i | ||||
\(940\) | 3.11661 | + | 7.78491i | 0.101652 | + | 0.253916i | ||||
\(941\) | −2.78037 | − | 58.3672i | −0.0906376 | − | 1.90272i | −0.349707 | − | 0.936859i | \(-0.613719\pi\) |
0.259070 | − | 0.965859i | \(-0.416584\pi\) | |||||||
\(942\) | −9.97317 | − | 5.82537i | −0.324944 | − | 0.189801i | ||||
\(943\) | −30.0714 | + | 11.1210i | −0.979261 | + | 0.362148i | ||||
\(944\) | − | 1.92062i | − | 0.0625108i | ||||||
\(945\) | 7.85119 | + | 18.5162i | 0.255399 | + | 0.602331i | ||||
\(946\) | 2.79573 | − | 19.4447i | 0.0908971 | − | 0.632203i | ||||
\(947\) | 3.03838 | + | 31.8193i | 0.0987340 | + | 1.03399i | 0.900061 | + | 0.435763i | \(0.143521\pi\) |
−0.801327 | + | 0.598226i | \(0.795873\pi\) | |||||||
\(948\) | 3.53504 | − | 14.2569i | 0.114813 | − | 0.463044i | ||||
\(949\) | 63.7377 | + | 6.08621i | 2.06901 | + | 0.197567i | ||||
\(950\) | −2.02804 | + | 5.85965i | −0.0657984 | + | 0.190112i | ||||
\(951\) | −0.653771 | − | 4.71605i | −0.0212000 | − | 0.152928i | ||||
\(952\) | 3.55934 | − | 0.296074i | 0.115359 | − | 0.00959583i | ||||
\(953\) | 10.5052 | − | 12.1237i | 0.340298 | − | 0.392725i | −0.559645 | − | 0.828733i | \(-0.689062\pi\) |
0.899943 | + | 0.436007i | \(0.143608\pi\) | |||||||
\(954\) | −0.965155 | − | 0.0557527i | −0.0312481 | − | 0.00180506i | ||||
\(955\) | −29.9068 | + | 15.4180i | −0.967761 | + | 0.498915i | ||||
\(956\) | −24.9754 | + | 8.64407i | −0.807762 | + | 0.279569i | ||||
\(957\) | −17.8935 | − | 75.4188i | −0.578416 | − | 2.43794i | ||||
\(958\) | −10.5638 | + | 1.51884i | −0.341300 | + | 0.0490715i | ||||
\(959\) | −27.5048 | + | 51.7895i | −0.888175 | + | 1.67237i | ||||
\(960\) | 2.31017 | − | 1.04095i | 0.0745605 | − | 0.0335965i | ||||
\(961\) | −19.5390 | − | 18.6304i | −0.630292 | − | 0.600982i | ||||
\(962\) | −10.8747 | − | 15.2713i | −0.350614 | − | 0.492368i | ||||
\(963\) | 21.6163 | + | 17.3555i | 0.696576 | + | 0.559273i | ||||
\(964\) | −6.40216 | + | 12.4185i | −0.206200 | + | 0.399971i | ||||
\(965\) | 17.6125 | 0.566967 | ||||||||
\(966\) | −18.9914 | + | 11.0601i | −0.611038 | + | 0.355854i | ||||
\(967\) | −15.4030 | −0.495326 | −0.247663 | − | 0.968846i | \(-0.579663\pi\) | ||||
−0.247663 | + | 0.968846i | \(0.579663\pi\) | |||||||
\(968\) | 4.07514 | − | 7.90467i | 0.130980 | − | 0.254066i | ||||
\(969\) | 3.96911 | + | 3.15392i | 0.127506 | + | 0.101318i | ||||
\(970\) | 7.60549 | + | 10.6804i | 0.244198 | + | 0.342927i | ||||
\(971\) | 25.4312 | + | 24.2486i | 0.816125 | + | 0.778174i | 0.977993 | − | 0.208639i | \(-0.0669033\pi\) |
−0.161868 | + | 0.986812i | \(0.551752\pi\) | |||||||
\(972\) | −14.3388 | + | 6.11556i | −0.459916 | + | 0.196157i | ||||
\(973\) | 3.79636 | − | 0.134415i | 0.121706 | − | 0.00430915i | ||||
\(974\) | −21.2085 | + | 3.04932i | −0.679564 | + | 0.0977066i | ||||
\(975\) | 21.2702 | − | 5.04648i | 0.681192 | − | 0.161617i | ||||
\(976\) | 1.78191 | − | 0.616727i | 0.0570377 | − | 0.0197409i | ||||
\(977\) | 26.7335 | − | 13.7821i | 0.855279 | − | 0.440927i | 0.0259341 | − | 0.999664i | \(-0.491744\pi\) |
0.829345 | + | 0.558737i | \(0.188714\pi\) | |||||||
\(978\) | 1.71139 | − | 32.4745i | 0.0547241 | − | 1.03842i | ||||
\(979\) | −0.216481 | + | 0.249833i | −0.00691877 | + | 0.00798468i | ||||
\(980\) | −0.736848 | + | 10.2140i | −0.0235377 | + | 0.326273i | ||||
\(981\) | −10.1550 | + | 1.35551i | −0.324223 | + | 0.0432781i | ||||
\(982\) | −9.87885 | + | 28.5431i | −0.315247 | + | 0.910846i | ||||
\(983\) | −14.0396 | − | 1.34062i | −0.447793 | − | 0.0427590i | −0.131276 | − | 0.991346i | \(-0.541907\pi\) |
−0.316517 | + | 0.948587i | \(0.602513\pi\) | |||||||
\(984\) | −11.2391 | − | 2.78675i | −0.358289 | − | 0.0888383i | ||||
\(985\) | 0.129292 | + | 1.35401i | 0.00411958 | + | 0.0431422i | ||||
\(986\) | 1.92763 | − | 13.4070i | 0.0613884 | − | 0.426966i | ||||
\(987\) | 2.94780 | − | 26.1016i | 0.0938294 | − | 0.830825i | ||||
\(988\) | − | 9.56881i | − | 0.304424i | ||||||
\(989\) | −1.56546 | + | 21.0649i | −0.0497786 | + | 0.669826i | ||||
\(990\) | 16.8525 | + | 9.95814i | 0.535609 | + | 0.316491i | ||||
\(991\) | −0.317260 | − | 6.66010i | −0.0100781 | − | 0.211565i | −0.998289 | − | 0.0584682i | \(-0.981378\pi\) |
0.988211 | − | 0.153097i | \(-0.0489247\pi\) | |||||||
\(992\) | −0.743554 | − | 1.85731i | −0.0236079 | − | 0.0589696i | ||||
\(993\) | −28.1412 | − | 13.0239i | −0.893035 | − | 0.413299i | ||||
\(994\) | −32.6087 | + | 4.28279i | −1.03429 | + | 0.135842i | ||||
\(995\) | −10.4093 | + | 4.75377i | −0.329997 | + | 0.150705i | ||||
\(996\) | −15.6075 | − | 5.49025i | −0.494544 | − | 0.173965i | ||||
\(997\) | 34.3434 | + | 13.7490i | 1.08766 | + | 0.435435i | 0.845050 | − | 0.534687i | \(-0.179571\pi\) |
0.242615 | + | 0.970123i | \(0.421995\pi\) | |||||||
\(998\) | 25.5767 | + | 26.8241i | 0.809617 | + | 0.849102i | ||||
\(999\) | −21.6086 | − | 4.50532i | −0.683666 | − | 0.142542i |
(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.bf.a.11.10 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bf.a.11.55 | yes | 1280 | |
7.2 | even | 3 | inner | 966.2.bf.a.149.45 | yes | 1280 | |
21.2 | odd | 6 | inner | 966.2.bf.a.149.22 | yes | 1280 | |
23.21 | odd | 22 | inner | 966.2.bf.a.389.22 | yes | 1280 | |
69.44 | even | 22 | inner | 966.2.bf.a.389.45 | yes | 1280 | |
161.44 | odd | 66 | inner | 966.2.bf.a.527.55 | yes | 1280 | |
483.44 | even | 66 | inner | 966.2.bf.a.527.10 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bf.a.11.10 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bf.a.11.55 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bf.a.149.22 | yes | 1280 | 21.2 | odd | 6 | inner | |
966.2.bf.a.149.45 | yes | 1280 | 7.2 | even | 3 | inner | |
966.2.bf.a.389.22 | yes | 1280 | 23.21 | odd | 22 | inner | |
966.2.bf.a.389.45 | yes | 1280 | 69.44 | even | 22 | inner | |
966.2.bf.a.527.10 | yes | 1280 | 483.44 | even | 66 | inner | |
966.2.bf.a.527.55 | yes | 1280 | 161.44 | odd | 66 | inner |