Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [503,2,Mod(2,503)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(503, base_ring=CyclotomicField(502))
chi = DirichletCharacter(H, H._module([202]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("503.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 503.c (of order \(251\), degree \(250\), 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: | \(4.01647522167\) |
Analytic rank: | \(0\) |
Dimension: | \(10250\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{251})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{251}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 503.2 |
Dual form | 503.2.c.a.252.9 |
$q$-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 \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{101}{251}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15193 | − | 1.41827i | −0.814534 | − | 1.00287i | −0.999796 | − | 0.0201790i | \(-0.993576\pi\) |
0.185262 | − | 0.982689i | \(-0.440687\pi\) | |||||||
\(3\) | −2.28946 | + | 1.98155i | −1.32182 | + | 1.14405i | −0.343001 | + | 0.939335i | \(0.611444\pi\) |
−0.978822 | + | 0.204715i | \(0.934373\pi\) | |||||||
\(4\) | −0.274449 | + | 1.30998i | −0.137224 | + | 0.654990i | ||||
\(5\) | 1.06426 | + | 3.36113i | 0.475951 | + | 1.50314i | 0.824504 | + | 0.565856i | \(0.191454\pi\) |
−0.348553 | + | 0.937289i | \(0.613327\pi\) | |||||||
\(6\) | 5.44767 | + | 0.964477i | 2.22400 | + | 0.393746i | ||||
\(7\) | 0.658051 | − | 1.91069i | 0.248720 | − | 0.722172i | −0.749470 | − | 0.662038i | \(-0.769692\pi\) |
0.998190 | − | 0.0601342i | \(-0.0191529\pi\) | |||||||
\(8\) | −1.07463 | + | 0.553494i | −0.379939 | + | 0.195690i | ||||
\(9\) | 0.884773 | − | 6.10441i | 0.294924 | − | 2.03480i | ||||
\(10\) | 3.54105 | − | 5.38118i | 1.11978 | − | 1.70168i | ||||
\(11\) | 1.91382 | − | 0.619191i | 0.577039 | − | 0.186693i | −0.00481244 | − | 0.999988i | \(-0.501532\pi\) |
0.581851 | + | 0.813295i | \(0.302329\pi\) | |||||||
\(12\) | −1.96745 | − | 3.54299i | −0.567955 | − | 1.02277i | ||||
\(13\) | 5.67857 | − | 1.91606i | 1.57495 | − | 0.531420i | 0.609675 | − | 0.792652i | \(-0.291300\pi\) |
0.965276 | + | 0.261232i | \(0.0841288\pi\) | |||||||
\(14\) | −3.46790 | + | 1.26768i | −0.926834 | + | 0.338801i | ||||
\(15\) | −9.09685 | − | 5.58631i | −2.34880 | − | 1.44238i | ||||
\(16\) | 4.47463 | + | 1.96100i | 1.11866 | + | 0.490249i | ||||
\(17\) | −4.11455 | − | 2.05448i | −0.997925 | − | 0.498284i | −0.128162 | − | 0.991753i | \(-0.540908\pi\) |
−0.869763 | + | 0.493470i | \(0.835728\pi\) | |||||||
\(18\) | −9.67690 | + | 5.77698i | −2.28087 | + | 1.36165i | ||||
\(19\) | 3.21287 | + | 7.20813i | 0.737083 | + | 1.65366i | 0.756624 | + | 0.653850i | \(0.226847\pi\) |
−0.0195410 | + | 0.999809i | \(0.506220\pi\) | |||||||
\(20\) | −4.69510 | + | 0.471700i | −1.04986 | + | 0.105475i | ||||
\(21\) | 2.27954 | + | 5.67842i | 0.497437 | + | 1.23913i | ||||
\(22\) | −3.08276 | − | 2.00105i | −0.657246 | − | 0.426626i | ||||
\(23\) | −2.08675 | + | 7.21297i | −0.435118 | + | 1.50401i | 0.380151 | + | 0.924924i | \(0.375872\pi\) |
−0.815269 | + | 0.579083i | \(0.803411\pi\) | |||||||
\(24\) | 1.36355 | − | 3.39664i | 0.278333 | − | 0.693336i | ||||
\(25\) | −6.07580 | + | 4.27640i | −1.21516 | + | 0.855280i | ||||
\(26\) | −9.25877 | − | 5.84658i | −1.81580 | − | 1.14661i | ||||
\(27\) | 5.17259 | + | 8.07899i | 0.995465 | + | 1.55480i | ||||
\(28\) | 2.32236 | + | 1.38642i | 0.438885 | + | 0.262009i | ||||
\(29\) | 0.250374 | − | 2.09573i | 0.0464933 | − | 0.389168i | −0.950440 | − | 0.310909i | \(-0.899367\pi\) |
0.996933 | − | 0.0782592i | \(-0.0249362\pi\) | |||||||
\(30\) | 2.55600 | + | 19.3368i | 0.466659 | + | 3.53040i | ||||
\(31\) | 0.229046 | + | 2.80914i | 0.0411378 | + | 0.504536i | 0.984808 | + | 0.173648i | \(0.0555554\pi\) |
−0.943670 | + | 0.330888i | \(0.892652\pi\) | |||||||
\(32\) | −1.73047 | − | 6.27458i | −0.305906 | − | 1.10920i | ||||
\(33\) | −3.15467 | + | 5.20995i | −0.549157 | + | 0.906936i | ||||
\(34\) | 1.82585 | + | 8.20214i | 0.313131 | + | 1.40666i | ||||
\(35\) | 7.12242 | + | 0.178330i | 1.20391 | + | 0.0301433i | ||||
\(36\) | 7.75384 | + | 2.83438i | 1.29231 | + | 0.472397i | ||||
\(37\) | −2.93641 | − | 3.70928i | −0.482743 | − | 0.609801i | 0.480972 | − | 0.876736i | \(-0.340284\pi\) |
−0.963715 | + | 0.266935i | \(0.913989\pi\) | |||||||
\(38\) | 6.52209 | − | 12.8599i | 1.05802 | − | 2.08616i | ||||
\(39\) | −9.20410 | + | 15.6391i | −1.47384 | + | 2.50427i | ||||
\(40\) | −3.00405 | − | 3.02291i | −0.474982 | − | 0.477964i | ||||
\(41\) | 0.452070 | − | 2.30092i | 0.0706015 | − | 0.359343i | −0.929350 | − | 0.369200i | \(-0.879632\pi\) |
0.999951 | + | 0.00985719i | \(0.00313769\pi\) | |||||||
\(42\) | 5.42766 | − | 9.77412i | 0.837506 | − | 1.50818i | ||||
\(43\) | −0.418503 | + | 2.28060i | −0.0638211 | + | 0.347788i | −0.999993 | − | 0.00375442i | \(-0.998805\pi\) |
0.936172 | + | 0.351543i | \(0.114343\pi\) | |||||||
\(44\) | 0.285882 | + | 2.67700i | 0.0430983 | + | 0.403573i | ||||
\(45\) | 21.4594 | − | 3.52284i | 3.19898 | − | 0.525154i | ||||
\(46\) | 12.6337 | − | 5.34922i | 1.86274 | − | 0.788699i | ||||
\(47\) | 3.23635 | − | 0.121579i | 0.472070 | − | 0.0177340i | 0.199557 | − | 0.979886i | \(-0.436050\pi\) |
0.272513 | + | 0.962152i | \(0.412145\pi\) | |||||||
\(48\) | −14.1303 | + | 4.37708i | −2.03954 | + | 0.631777i | ||||
\(49\) | 2.29778 | + | 1.79574i | 0.328254 | + | 0.256534i | ||||
\(50\) | 13.0640 | + | 3.69104i | 1.84752 | + | 0.521992i | ||||
\(51\) | 13.4912 | − | 3.44955i | 1.88914 | − | 0.483033i | ||||
\(52\) | 0.951527 | + | 7.96467i | 0.131953 | + | 1.10450i | ||||
\(53\) | −4.64240 | + | 10.4153i | −0.637682 | + | 1.43065i | 0.249107 | + | 0.968476i | \(0.419863\pi\) |
−0.886789 | + | 0.462175i | \(0.847069\pi\) | |||||||
\(54\) | 5.49975 | − | 16.6425i | 0.748421 | − | 2.26476i | ||||
\(55\) | 4.11799 | + | 5.77363i | 0.555269 | + | 0.778516i | ||||
\(56\) | 0.350393 | + | 2.41751i | 0.0468233 | + | 0.323053i | ||||
\(57\) | −21.6391 | − | 10.1363i | −2.86616 | − | 1.34258i | ||||
\(58\) | −3.26073 | + | 2.05903i | −0.428155 | + | 0.270364i | ||||
\(59\) | −5.45766 | + | 13.1179i | −0.710527 | + | 1.70780i | −0.00412566 | + | 0.999991i | \(0.501313\pi\) |
−0.706402 | + | 0.707811i | \(0.749683\pi\) | |||||||
\(60\) | 9.81457 | − | 10.3835i | 1.26706 | − | 1.34051i | ||||
\(61\) | −2.47580 | − | 4.08881i | −0.316994 | − | 0.523518i | 0.655877 | − | 0.754868i | \(-0.272299\pi\) |
−0.972871 | + | 0.231350i | \(0.925686\pi\) | |||||||
\(62\) | 3.72027 | − | 3.56076i | 0.472475 | − | 0.452218i | ||||
\(63\) | −11.0814 | − | 5.70754i | −1.39613 | − | 0.719083i | ||||
\(64\) | −1.23193 | + | 1.72723i | −0.153992 | + | 0.215904i | ||||
\(65\) | 12.4836 | + | 17.0472i | 1.54840 | + | 2.11445i | ||||
\(66\) | 11.0231 | − | 1.52731i | 1.35684 | − | 0.187999i | ||||
\(67\) | −0.980900 | + | 0.602364i | −0.119836 | + | 0.0735904i | −0.581922 | − | 0.813245i | \(-0.697699\pi\) |
0.462085 | + | 0.886835i | \(0.347101\pi\) | |||||||
\(68\) | 3.82056 | − | 4.82613i | 0.463310 | − | 0.585254i | ||||
\(69\) | −9.51533 | − | 20.6488i | −1.14551 | − | 2.48583i | ||||
\(70\) | −7.95157 | − | 10.3069i | −0.950394 | − | 1.23191i | ||||
\(71\) | 1.59969 | + | 10.1411i | 0.189849 | + | 1.20353i | 0.878250 | + | 0.478202i | \(0.158711\pi\) |
−0.688401 | + | 0.725330i | \(0.741687\pi\) | |||||||
\(72\) | 2.42795 | + | 7.04970i | 0.286137 | + | 0.830815i | ||||
\(73\) | −0.541068 | − | 0.517870i | −0.0633272 | − | 0.0606120i | 0.659122 | − | 0.752036i | \(-0.270928\pi\) |
−0.722449 | + | 0.691424i | \(0.756984\pi\) | |||||||
\(74\) | −1.87823 | + | 8.43743i | −0.218340 | + | 0.980831i | ||||
\(75\) | 5.43643 | − | 21.8302i | 0.627745 | − | 2.52073i | ||||
\(76\) | −10.3243 | + | 2.23053i | −1.18428 | + | 0.255860i | ||||
\(77\) | 0.0763116 | − | 4.06417i | 0.00869651 | − | 0.463155i | ||||
\(78\) | 32.7829 | − | 4.96122i | 3.71194 | − | 0.561747i | ||||
\(79\) | 0.00957602 | + | 0.169839i | 0.00107739 | + | 0.0191084i | 0.998907 | − | 0.0467368i | \(-0.0148822\pi\) |
−0.997830 | + | 0.0658452i | \(0.979026\pi\) | |||||||
\(80\) | −1.82901 | + | 17.1268i | −0.204489 | + | 1.91484i | ||||
\(81\) | −10.1083 | − | 2.99306i | −1.12314 | − | 0.332563i | ||||
\(82\) | −3.78407 | + | 2.00933i | −0.417881 | + | 0.221893i | ||||
\(83\) | −5.40925 | − | 10.3427i | −0.593742 | − | 1.13526i | −0.977323 | − | 0.211755i | \(-0.932082\pi\) |
0.383581 | − | 0.923507i | \(-0.374691\pi\) | |||||||
\(84\) | −8.06423 | + | 1.42772i | −0.879880 | + | 0.155777i | ||||
\(85\) | 2.52642 | − | 16.0160i | 0.274029 | − | 1.73718i | ||||
\(86\) | 3.71659 | − | 2.03353i | 0.400770 | − | 0.219281i | ||||
\(87\) | 3.57958 | + | 5.29424i | 0.383772 | + | 0.567602i | ||||
\(88\) | −1.71393 | + | 1.72469i | −0.182705 | + | 0.183852i | ||||
\(89\) | −2.48522 | − | 9.47229i | −0.263433 | − | 1.00406i | −0.958495 | − | 0.285110i | \(-0.907970\pi\) |
0.695062 | − | 0.718950i | \(-0.255377\pi\) | |||||||
\(90\) | −29.7159 | − | 26.3771i | −3.13234 | − | 2.78039i | ||||
\(91\) | 0.0757924 | − | 12.1108i | 0.00794521 | − | 1.26956i | ||||
\(92\) | −8.87614 | − | 4.71319i | −0.925401 | − | 0.491384i | ||||
\(93\) | −6.09085 | − | 5.97755i | −0.631591 | − | 0.619844i | ||||
\(94\) | −3.90046 | − | 4.44997i | −0.402302 | − | 0.458979i | ||||
\(95\) | −20.8082 | + | 18.4702i | −2.13487 | + | 1.89500i | ||||
\(96\) | 16.3952 | + | 10.9364i | 1.67333 | + | 1.11619i | ||||
\(97\) | 1.07494 | + | 4.55908i | 0.109144 | + | 0.462904i | 0.999963 | + | 0.00854712i | \(0.00272067\pi\) |
−0.890820 | + | 0.454357i | \(0.849869\pi\) | |||||||
\(98\) | −0.100031 | − | 5.32743i | −0.0101047 | − | 0.538151i | ||||
\(99\) | −2.08650 | − | 12.2306i | −0.209701 | − | 1.22922i | ||||
\(100\) | −3.93450 | − | 9.13284i | −0.393450 | − | 0.913284i | ||||
\(101\) | 9.23981 | − | 3.64226i | 0.919396 | − | 0.362418i | 0.140868 | − | 0.990028i | \(-0.455011\pi\) |
0.778528 | + | 0.627610i | \(0.215967\pi\) | |||||||
\(102\) | −20.4332 | − | 15.1605i | −2.02319 | − | 1.50111i | ||||
\(103\) | −11.4950 | + | 2.33326i | −1.13263 | + | 0.229903i | −0.728665 | − | 0.684870i | \(-0.759859\pi\) |
−0.403967 | + | 0.914774i | \(0.632369\pi\) | |||||||
\(104\) | −5.04182 | + | 5.20211i | −0.494392 | + | 0.510109i | ||||
\(105\) | −16.6599 | + | 13.7052i | −1.62584 | + | 1.33749i | ||||
\(106\) | 20.1194 | − | 5.41347i | 1.95417 | − | 0.525803i | ||||
\(107\) | 2.72329 | + | 0.102305i | 0.263271 | + | 0.00989018i | 0.168848 | − | 0.985642i | \(-0.445995\pi\) |
0.0944224 | + | 0.995532i | \(0.469900\pi\) | |||||||
\(108\) | −12.0029 | + | 4.55872i | −1.15498 | + | 0.438663i | ||||
\(109\) | 10.2517 | + | 10.8460i | 0.981935 | + | 1.03886i | 0.999239 | + | 0.0390086i | \(0.0124200\pi\) |
−0.0173040 | + | 0.999850i | \(0.505508\pi\) | |||||||
\(110\) | 3.44495 | − | 12.4912i | 0.328463 | − | 1.19099i | ||||
\(111\) | 14.0729 | + | 2.67360i | 1.33574 | + | 0.253767i | ||||
\(112\) | 6.69139 | − | 7.25918i | 0.632277 | − | 0.685929i | ||||
\(113\) | 1.27504 | + | 2.59405i | 0.119946 | + | 0.244028i | 0.949089 | − | 0.315009i | \(-0.102008\pi\) |
−0.829143 | + | 0.559037i | \(0.811171\pi\) | |||||||
\(114\) | 10.5506 | + | 42.3663i | 0.988152 | + | 3.96796i | ||||
\(115\) | −26.4646 | + | 0.662616i | −2.46784 | + | 0.0617893i | ||||
\(116\) | 2.67665 | + | 0.903157i | 0.248521 | + | 0.0838560i | ||||
\(117\) | −6.67219 | − | 36.3596i | −0.616844 | − | 3.36145i | ||||
\(118\) | 24.8915 | − | 7.37038i | 2.29145 | − | 0.678498i | ||||
\(119\) | −6.63305 | + | 6.50967i | −0.608050 | + | 0.596740i | ||||
\(120\) | 12.8677 | + | 0.968159i | 1.17466 | + | 0.0883805i | ||||
\(121\) | −5.63603 | + | 4.07330i | −0.512367 | + | 0.370300i | ||||
\(122\) | −2.94709 | + | 8.22135i | −0.266817 | + | 0.744326i | ||||
\(123\) | 3.52439 | + | 6.16367i | 0.317784 | + | 0.555759i | ||||
\(124\) | −3.74278 | − | 0.470919i | −0.336111 | − | 0.0422898i | ||||
\(125\) | −6.81546 | − | 5.19027i | −0.609593 | − | 0.464232i | ||||
\(126\) | 4.67012 | + | 22.2911i | 0.416047 | + | 1.98585i | ||||
\(127\) | 5.02637 | − | 2.83249i | 0.446018 | − | 0.251343i | −0.251574 | − | 0.967838i | \(-0.580948\pi\) |
0.697592 | + | 0.716495i | \(0.254255\pi\) | |||||||
\(128\) | −9.12339 | + | 0.571702i | −0.806401 | + | 0.0505318i | ||||
\(129\) | −3.56098 | − | 6.05064i | −0.313527 | − | 0.532729i | ||||
\(130\) | 9.79739 | − | 37.3423i | 0.859288 | − | 3.27513i | ||||
\(131\) | 2.86262 | − | 1.90950i | 0.250108 | − | 0.166834i | −0.423560 | − | 0.905868i | \(-0.639220\pi\) |
0.673668 | + | 0.739034i | \(0.264718\pi\) | |||||||
\(132\) | −5.95914 | − | 5.56241i | −0.518677 | − | 0.484146i | ||||
\(133\) | 15.8867 | − | 1.39547i | 1.37755 | − | 0.121003i | ||||
\(134\) | 1.98424 | + | 0.697303i | 0.171412 | + | 0.0602378i | ||||
\(135\) | −21.6496 | + | 25.9839i | −1.86330 | + | 2.23634i | ||||
\(136\) | 5.55876 | − | 0.0695787i | 0.476659 | − | 0.00596633i | ||||
\(137\) | 4.38422 | + | 11.3293i | 0.374569 | + | 0.967932i | 0.984486 | + | 0.175466i | \(0.0561432\pi\) |
−0.609917 | + | 0.792466i | \(0.708797\pi\) | |||||||
\(138\) | −18.3247 | + | 37.2812i | −1.55990 | + | 3.17359i | ||||
\(139\) | 17.9327 | + | 3.87433i | 1.52104 | + | 0.328616i | 0.893175 | − | 0.449709i | \(-0.148472\pi\) |
0.627861 | + | 0.778326i | \(0.283931\pi\) | |||||||
\(140\) | −2.18835 | + | 9.28128i | −0.184949 | + | 0.784411i | ||||
\(141\) | −7.16859 | + | 6.69135i | −0.603704 | + | 0.563513i | ||||
\(142\) | 12.5401 | − | 13.9506i | 1.05235 | − | 1.17071i | ||||
\(143\) | 9.68135 | − | 7.18311i | 0.809595 | − | 0.600682i | ||||
\(144\) | 15.9298 | − | 25.5800i | 1.32748 | − | 2.13166i | ||||
\(145\) | 7.31050 | − | 1.38886i | 0.607104 | − | 0.115339i | ||||
\(146\) | −0.111209 | + | 1.36393i | −0.00920373 | + | 0.112879i | ||||
\(147\) | −8.81903 | + | 0.441896i | −0.727382 | + | 0.0364470i | ||||
\(148\) | 5.66497 | − | 2.82863i | 0.465658 | − | 0.232512i | ||||
\(149\) | −2.55654 | + | 3.99302i | −0.209440 | + | 0.327121i | −0.930860 | − | 0.365377i | \(-0.880940\pi\) |
0.721420 | + | 0.692498i | \(0.243490\pi\) | |||||||
\(150\) | −37.2235 | + | 17.4364i | −3.03928 | + | 1.42368i | ||||
\(151\) | −1.08441 | − | 1.64793i | −0.0882479 | − | 0.134107i | 0.788541 | − | 0.614982i | \(-0.210837\pi\) |
−0.876789 | + | 0.480875i | \(0.840319\pi\) | |||||||
\(152\) | −7.44230 | − | 5.96776i | −0.603651 | − | 0.484050i | ||||
\(153\) | −16.1818 | + | 23.2992i | −1.30822 | + | 1.88363i | ||||
\(154\) | −5.85200 | + | 4.57339i | −0.471567 | + | 0.368534i | ||||
\(155\) | −9.19812 | + | 3.75951i | −0.738811 | + | 0.301971i | ||||
\(156\) | −17.9609 | − | 16.3493i | −1.43802 | − | 1.30899i | ||||
\(157\) | −6.04648 | + | 12.7006i | −0.482562 | + | 1.01362i | 0.505963 | + | 0.862555i | \(0.331137\pi\) |
−0.988525 | + | 0.151061i | \(0.951731\pi\) | |||||||
\(158\) | 0.229846 | − | 0.209223i | 0.0182856 | − | 0.0166449i | ||||
\(159\) | −10.0099 | − | 33.0446i | −0.793833 | − | 2.62061i | ||||
\(160\) | 19.2480 | − | 12.4941i | 1.52169 | − | 0.987746i | ||||
\(161\) | 12.4085 | + | 8.73363i | 0.977930 | + | 0.688307i | ||||
\(162\) | 7.39902 | + | 17.7841i | 0.581322 | + | 1.39725i | ||||
\(163\) | −1.84441 | − | 0.700510i | −0.144466 | − | 0.0548682i | 0.281761 | − | 0.959485i | \(-0.409082\pi\) |
−0.426226 | + | 0.904617i | \(0.640157\pi\) | |||||||
\(164\) | 2.89009 | + | 1.22369i | 0.225678 | + | 0.0955539i | ||||
\(165\) | −20.8687 | − | 5.05851i | −1.62463 | − | 0.393804i | ||||
\(166\) | −8.43773 | + | 19.5858i | −0.654895 | + | 1.52015i | ||||
\(167\) | 0.506906 | − | 16.1946i | 0.0392256 | − | 1.25317i | −0.759110 | − | 0.650962i | \(-0.774366\pi\) |
0.798336 | − | 0.602213i | \(-0.205714\pi\) | |||||||
\(168\) | −5.59263 | − | 4.84048i | −0.431481 | − | 0.373451i | ||||
\(169\) | 18.2324 | − | 13.8848i | 1.40249 | − | 1.06806i | ||||
\(170\) | −25.6253 | + | 14.8661i | −1.96537 | + | 1.14018i | ||||
\(171\) | 46.8441 | − | 13.2351i | 3.58226 | − | 1.01212i | ||||
\(172\) | −2.87268 | − | 1.17414i | −0.219040 | − | 0.0895272i | ||||
\(173\) | 8.10785 | + | 17.0304i | 0.616428 | + | 1.29480i | 0.937579 | + | 0.347772i | \(0.113062\pi\) |
−0.321151 | + | 0.947028i | \(0.604070\pi\) | |||||||
\(174\) | 3.38524 | − | 11.1754i | 0.256635 | − | 0.847204i | ||||
\(175\) | 4.17267 | + | 14.4231i | 0.315424 | + | 1.09028i | ||||
\(176\) | 9.77787 | + | 0.982348i | 0.737035 | + | 0.0740473i | ||||
\(177\) | −13.4986 | − | 40.8476i | −1.01462 | − | 3.07029i | ||||
\(178\) | −10.5715 | + | 14.4361i | −0.792365 | + | 1.08203i | ||||
\(179\) | −0.530752 | + | 0.984613i | −0.0396702 | + | 0.0735935i | −0.899322 | − | 0.437287i | \(-0.855939\pi\) |
0.859652 | + | 0.510880i | \(0.170680\pi\) | |||||||
\(180\) | −1.27465 | + | 29.0782i | −0.0950065 | + | 2.16736i | ||||
\(181\) | −1.60046 | − | 23.2124i | −0.118961 | − | 1.72536i | −0.560528 | − | 0.828136i | \(-0.689402\pi\) |
0.441566 | − | 0.897229i | \(-0.354423\pi\) | |||||||
\(182\) | −17.2637 | + | 13.8433i | −1.27967 | + | 1.02613i | ||||
\(183\) | 13.7704 | + | 4.45524i | 1.01794 | + | 0.329341i | ||||
\(184\) | −1.74985 | − | 8.90627i | −0.129001 | − | 0.656579i | ||||
\(185\) | 9.34227 | − | 13.8173i | 0.686857 | − | 1.01587i | ||||
\(186\) | −1.46158 | + | 15.5242i | −0.107169 | + | 1.13829i | ||||
\(187\) | −9.14662 | − | 1.38421i | −0.668867 | − | 0.101223i | ||||
\(188\) | −0.728946 | + | 4.27292i | −0.0531639 | + | 0.311635i | ||||
\(189\) | 18.8403 | − | 4.56681i | 1.37043 | − | 0.332187i | ||||
\(190\) | 50.1652 | + | 8.23529i | 3.63937 | + | 0.597450i | ||||
\(191\) | 0.561261 | − | 9.95443i | 0.0406114 | − | 0.720277i | −0.910893 | − | 0.412642i | \(-0.864606\pi\) |
0.951505 | − | 0.307635i | \(-0.0995375\pi\) | |||||||
\(192\) | −0.602138 | − | 6.39559i | −0.0434556 | − | 0.461562i | ||||
\(193\) | −18.3630 | − | 10.0473i | −1.32180 | − | 0.723222i | −0.345249 | − | 0.938511i | \(-0.612206\pi\) |
−0.976550 | + | 0.215289i | \(0.930931\pi\) | |||||||
\(194\) | 5.22775 | − | 6.77628i | 0.375331 | − | 0.486508i | ||||
\(195\) | −62.3608 | − | 14.2921i | −4.46575 | − | 1.02348i | ||||
\(196\) | −2.98300 | + | 2.51721i | −0.213072 | + | 0.179801i | ||||
\(197\) | 24.5739 | − | 1.84893i | 1.75082 | − | 0.131731i | 0.839481 | − | 0.543388i | \(-0.182859\pi\) |
0.911339 | + | 0.411658i | \(0.135050\pi\) | |||||||
\(198\) | −14.9428 | + | 17.0480i | −1.06194 | + | 1.21155i | ||||
\(199\) | −0.0365797 | − | 5.84506i | −0.00259307 | − | 0.414345i | −0.979581 | − | 0.201050i | \(-0.935565\pi\) |
0.976988 | − | 0.213295i | \(-0.0684195\pi\) | |||||||
\(200\) | 4.16228 | − | 7.95846i | 0.294317 | − | 0.562748i | ||||
\(201\) | 1.05212 | − | 3.32280i | 0.0742109 | − | 0.234372i | ||||
\(202\) | −15.8093 | − | 8.90894i | −1.11234 | − | 0.626831i | ||||
\(203\) | −3.83953 | − | 1.85749i | −0.269482 | − | 0.130370i | ||||
\(204\) | 0.816205 | + | 18.6199i | 0.0571458 | + | 1.30365i | ||||
\(205\) | 8.21481 | − | 0.929306i | 0.573747 | − | 0.0649055i | ||||
\(206\) | 16.5505 | + | 13.6152i | 1.15313 | + | 0.948616i | ||||
\(207\) | 42.1846 | + | 19.1202i | 2.93203 | + | 1.32895i | ||||
\(208\) | 29.1669 | + | 2.56199i | 2.02236 | + | 0.177642i | ||||
\(209\) | 10.6121 | + | 11.8057i | 0.734052 | + | 0.816617i | ||||
\(210\) | 38.6286 | + | 7.84089i | 2.66562 | + | 0.541073i | ||||
\(211\) | −18.8509 | + | 12.9183i | −1.29775 | + | 0.889331i | −0.997907 | − | 0.0646581i | \(-0.979404\pi\) |
−0.299843 | + | 0.953989i | \(0.596934\pi\) | |||||||
\(212\) | −12.3697 | − | 8.93991i | −0.849557 | − | 0.613996i | ||||
\(213\) | −23.7577 | − | 20.0479i | −1.62785 | − | 1.37366i | ||||
\(214\) | −2.99194 | − | 3.98021i | −0.204525 | − | 0.272082i | ||||
\(215\) | −8.11080 | + | 1.02051i | −0.553152 | + | 0.0695980i | ||||
\(216\) | −10.0303 | − | 5.81892i | −0.682475 | − | 0.395928i | ||||
\(217\) | 5.51811 | + | 1.41092i | 0.374594 | + | 0.0957796i | ||||
\(218\) | 3.57337 | − | 27.0335i | 0.242019 | − | 1.83094i | ||||
\(219\) | 2.26494 | + | 0.113490i | 0.153051 | + | 0.00766892i | ||||
\(220\) | −8.69351 | + | 3.80991i | −0.586117 | + | 0.256864i | ||||
\(221\) | −27.3012 | − | 3.78275i | −1.83648 | − | 0.254455i | ||||
\(222\) | −12.4191 | − | 23.0390i | −0.833514 | − | 1.54628i | ||||
\(223\) | 9.80418 | − | 4.74306i | 0.656536 | − | 0.317619i | −0.0772373 | − | 0.997013i | \(-0.524610\pi\) |
0.733774 | + | 0.679394i | \(0.237757\pi\) | |||||||
\(224\) | −13.1275 | − | 0.822612i | −0.877117 | − | 0.0549631i | ||||
\(225\) | 20.7292 | + | 40.8729i | 1.38195 | + | 2.72486i | ||||
\(226\) | 2.21031 | − | 4.79651i | 0.147028 | − | 0.319059i | ||||
\(227\) | 4.12211 | − | 0.944722i | 0.273594 | − | 0.0627034i | −0.0843846 | − | 0.996433i | \(-0.526892\pi\) |
0.357978 | + | 0.933730i | \(0.383466\pi\) | |||||||
\(228\) | 19.2171 | − | 25.5648i | 1.27269 | − | 1.69307i | ||||
\(229\) | 10.8278 | − | 18.9362i | 0.715518 | − | 1.25134i | −0.244022 | − | 0.969770i | \(-0.578467\pi\) |
0.959540 | − | 0.281572i | \(-0.0908558\pi\) | |||||||
\(230\) | 31.4250 | + | 36.7706i | 2.07210 | + | 2.42458i | ||||
\(231\) | 7.87866 | + | 9.45599i | 0.518378 | + | 0.622159i | ||||
\(232\) | 0.890917 | + | 2.39072i | 0.0584916 | + | 0.156958i | ||||
\(233\) | 10.5708 | + | 0.132314i | 0.692513 | + | 0.00866816i | 0.357998 | − | 0.933722i | \(-0.383459\pi\) |
0.334515 | + | 0.942390i | \(0.391428\pi\) | |||||||
\(234\) | −43.8819 | + | 51.3465i | −2.86865 | + | 3.35663i | ||||
\(235\) | 3.85296 | + | 10.7484i | 0.251339 | + | 0.701149i | ||||
\(236\) | −15.6863 | − | 10.7496i | −1.02109 | − | 0.699741i | ||||
\(237\) | −0.358468 | − | 0.369864i | −0.0232850 | − | 0.0240253i | ||||
\(238\) | 16.8732 | + | 1.90880i | 1.09373 | + | 0.123729i | ||||
\(239\) | −0.786400 | + | 11.4056i | −0.0508680 | + | 0.737766i | 0.901493 | + | 0.432793i | \(0.142472\pi\) |
−0.952361 | + | 0.304973i | \(0.901353\pi\) | |||||||
\(240\) | −29.7503 | − | 42.8356i | −1.92037 | − | 2.76502i | ||||
\(241\) | −3.75592 | − | 1.16345i | −0.241940 | − | 0.0749446i | 0.172542 | − | 0.985002i | \(-0.444802\pi\) |
−0.414482 | + | 0.910058i | \(0.636037\pi\) | |||||||
\(242\) | 12.2693 | + | 3.30128i | 0.788702 | + | 0.212214i | ||||
\(243\) | 2.86125 | − | 1.29687i | 0.183549 | − | 0.0831940i | ||||
\(244\) | 6.03573 | − | 2.12108i | 0.386398 | − | 0.135789i | ||||
\(245\) | −3.59028 | + | 9.63428i | −0.229374 | + | 0.615511i | ||||
\(246\) | 4.68191 | − | 12.0986i | 0.298508 | − | 0.771380i | ||||
\(247\) | 32.0557 | + | 34.7758i | 2.03966 | + | 2.21273i | ||||
\(248\) | −1.80098 | − | 2.89201i | −0.114362 | − | 0.183643i | ||||
\(249\) | 32.8789 | + | 12.9606i | 2.08362 | + | 0.821345i | ||||
\(250\) | 0.489703 | + | 15.6450i | 0.0309715 | + | 0.989474i | ||||
\(251\) | −4.11125 | + | 5.06184i | −0.259500 | + | 0.319500i | −0.889360 | − | 0.457208i | \(-0.848849\pi\) |
0.629860 | + | 0.776709i | \(0.283112\pi\) | |||||||
\(252\) | 10.5180 | − | 12.9500i | 0.662574 | − | 0.815773i | ||||
\(253\) | 0.472533 | + | 15.0964i | 0.0297079 | + | 0.949104i | ||||
\(254\) | −9.80724 | − | 3.86593i | −0.615361 | − | 0.242570i | ||||
\(255\) | 25.9525 | + | 41.6744i | 1.62521 | + | 2.60975i | ||||
\(256\) | 14.1961 | + | 15.4007i | 0.887258 | + | 0.962546i | ||||
\(257\) | −3.24187 | + | 8.37739i | −0.202222 | + | 0.522567i | −0.996367 | − | 0.0851613i | \(-0.972859\pi\) |
0.794145 | + | 0.607729i | \(0.207919\pi\) | |||||||
\(258\) | −4.47945 | + | 12.0203i | −0.278878 | + | 0.748352i | ||||
\(259\) | −9.01958 | + | 3.16967i | −0.560449 | + | 0.196954i | ||||
\(260\) | −25.7576 | + | 11.6747i | −1.59742 | + | 0.724033i | ||||
\(261\) | −12.5717 | − | 3.38264i | −0.778169 | − | 0.209380i | ||||
\(262\) | −6.00571 | − | 1.86036i | −0.371034 | − | 0.114933i | ||||
\(263\) | −3.46151 | − | 4.98401i | −0.213446 | − | 0.307327i | 0.700114 | − | 0.714031i | \(-0.253132\pi\) |
−0.913560 | + | 0.406703i | \(0.866678\pi\) | |||||||
\(264\) | 0.506418 | − | 7.34486i | 0.0311679 | − | 0.452045i | ||||
\(265\) | −39.9479 | − | 4.51913i | −2.45398 | − | 0.277608i | ||||
\(266\) | −20.2795 | − | 20.9242i | −1.24341 | − | 1.28294i | ||||
\(267\) | 24.4597 | + | 16.7619i | 1.49691 | + | 1.02581i | ||||
\(268\) | −0.519878 | − | 1.45028i | −0.0317566 | − | 0.0885898i | ||||
\(269\) | 14.7158 | − | 17.2191i | 0.897239 | − | 1.04987i | −0.101247 | − | 0.994861i | \(-0.532283\pi\) |
0.998486 | − | 0.0550050i | \(-0.0175175\pi\) | |||||||
\(270\) | 61.7909 | + | 0.773434i | 3.76047 | + | 0.0470697i | ||||
\(271\) | −1.23173 | − | 3.30527i | −0.0748224 | − | 0.200781i | 0.894245 | − | 0.447578i | \(-0.147713\pi\) |
−0.969067 | + | 0.246797i | \(0.920622\pi\) | |||||||
\(272\) | −14.3823 | − | 17.2616i | −0.872053 | − | 1.04664i | ||||
\(273\) | 23.8247 | + | 27.8775i | 1.44194 | + | 1.68722i | ||||
\(274\) | 11.0178 | − | 19.2686i | 0.665608 | − | 1.16406i | ||||
\(275\) | −8.98009 | + | 11.9463i | −0.541520 | + | 0.720391i | ||||
\(276\) | 29.6610 | − | 6.79784i | 1.78538 | − | 0.409182i | ||||
\(277\) | −2.84698 | + | 6.17813i | −0.171059 | + | 0.371208i | −0.974571 | − | 0.224081i | \(-0.928062\pi\) |
0.803512 | + | 0.595289i | \(0.202962\pi\) | |||||||
\(278\) | −15.1623 | − | 29.8964i | −0.909377 | − | 1.79307i | ||||
\(279\) | 17.3508 | + | 1.08726i | 1.03876 | + | 0.0650925i | ||||
\(280\) | −7.75266 | + | 3.75058i | −0.463310 | + | 0.224140i | ||||
\(281\) | −6.05442 | − | 11.2317i | −0.361176 | − | 0.670029i | 0.633424 | − | 0.773805i | \(-0.281649\pi\) |
−0.994601 | + | 0.103775i | \(0.966908\pi\) | |||||||
\(282\) | 17.7478 | + | 2.45906i | 1.05687 | + | 0.146435i | ||||
\(283\) | 8.21010 | − | 3.59806i | 0.488040 | − | 0.213882i | −0.142866 | − | 0.989742i | \(-0.545632\pi\) |
0.630906 | + | 0.775860i | \(0.282684\pi\) | |||||||
\(284\) | −13.7237 | − | 0.687656i | −0.814354 | − | 0.0408049i | ||||
\(285\) | 11.0399 | − | 83.5194i | 0.653944 | − | 4.94726i | ||||
\(286\) | −21.3398 | − | 5.45635i | −1.26185 | − | 0.322641i | ||||
\(287\) | −4.09885 | − | 2.37789i | −0.241947 | − | 0.140362i | ||||
\(288\) | −39.8337 | + | 5.01190i | −2.34722 | + | 0.295329i | ||||
\(289\) | 2.49385 | + | 3.31760i | 0.146697 | + | 0.195153i | ||||
\(290\) | −10.3909 | − | 8.76840i | −0.610177 | − | 0.514898i | ||||
\(291\) | −11.4951 | − | 8.30779i | −0.673855 | − | 0.487012i | ||||
\(292\) | 0.826894 | − | 0.566659i | 0.0483903 | − | 0.0331612i | ||||
\(293\) | 5.29909 | + | 1.07562i | 0.309576 | + | 0.0628383i | 0.351216 | − | 0.936294i | \(-0.385768\pi\) |
−0.0416401 | + | 0.999133i | \(0.513258\pi\) | |||||||
\(294\) | 10.7856 | + | 11.9987i | 0.629029 | + | 0.699780i | ||||
\(295\) | −49.8993 | − | 4.38311i | −2.90525 | − | 0.255194i | ||||
\(296\) | 5.20861 | + | 2.36081i | 0.302745 | + | 0.137219i | ||||
\(297\) | 14.9018 | + | 12.2589i | 0.864693 | + | 0.711335i | ||||
\(298\) | 8.60812 | − | 0.973799i | 0.498655 | − | 0.0564107i | ||||
\(299\) | 1.97072 | + | 44.9576i | 0.113970 | + | 2.59997i | ||||
\(300\) | 27.1051 | + | 13.1129i | 1.56491 | + | 0.757073i | ||||
\(301\) | 4.08212 | + | 2.30038i | 0.235289 | + | 0.132592i | ||||
\(302\) | −1.08805 | + | 3.43628i | −0.0626104 | + | 0.197736i | ||||
\(303\) | −13.9369 | + | 26.6480i | −0.800654 | + | 1.53089i | ||||
\(304\) | 0.241281 | + | 38.5542i | 0.0138384 | + | 2.21123i | ||||
\(305\) | 11.1081 | − | 12.6731i | 0.636049 | − | 0.725657i | ||||
\(306\) | 51.6847 | − | 3.88873i | 2.95462 | − | 0.222304i | ||||
\(307\) | −6.70777 | + | 5.66035i | −0.382833 | + | 0.323053i | −0.815776 | − | 0.578367i | \(-0.803690\pi\) |
0.432944 | + | 0.901421i | \(0.357475\pi\) | |||||||
\(308\) | 5.30304 | + | 1.21537i | 0.302169 | + | 0.0692523i | ||||
\(309\) | 21.6938 | − | 28.1198i | 1.23412 | − | 1.59968i | ||||
\(310\) | 15.9275 | + | 8.71475i | 0.904624 | + | 0.494965i | ||||
\(311\) | 2.66035 | + | 28.2569i | 0.150855 | + | 1.60230i | 0.666505 | + | 0.745500i | \(0.267789\pi\) |
−0.515650 | + | 0.856799i | \(0.672450\pi\) | |||||||
\(312\) | 1.23483 | − | 21.9007i | 0.0699083 | − | 1.23988i | ||||
\(313\) | −2.25945 | − | 0.370919i | −0.127712 | − | 0.0209656i | 0.0977996 | − | 0.995206i | \(-0.468820\pi\) |
−0.225511 | + | 0.974241i | \(0.572405\pi\) | |||||||
\(314\) | 24.9779 | − | 6.05457i | 1.40959 | − | 0.341679i | ||||
\(315\) | 7.39032 | − | 43.3204i | 0.416397 | − | 2.44083i | ||||
\(316\) | −0.225114 | − | 0.0340676i | −0.0126636 | − | 0.00191645i | ||||
\(317\) | 1.74149 | − | 18.4972i | 0.0978119 | − | 1.03891i | −0.800437 | − | 0.599417i | \(-0.795399\pi\) |
0.898248 | − | 0.439488i | \(-0.144840\pi\) | |||||||
\(318\) | −35.3356 | + | 52.2616i | −1.98152 | + | 2.93068i | ||||
\(319\) | −0.818488 | − | 4.16589i | −0.0458265 | − | 0.233245i | ||||
\(320\) | −7.11657 | − | 2.30247i | −0.397828 | − | 0.128712i | ||||
\(321\) | −6.43761 | + | 5.16213i | −0.359312 | + | 0.288122i | ||||
\(322\) | −1.90706 | − | 27.6591i | −0.106276 | − | 1.54138i | ||||
\(323\) | 1.58942 | − | 36.2590i | 0.0884375 | − | 2.01750i | ||||
\(324\) | 6.69506 | − | 12.4202i | 0.371948 | − | 0.690012i | ||||
\(325\) | −26.3080 | + | 35.9254i | −1.45931 | + | 1.99278i | ||||
\(326\) | 1.13112 | + | 3.42281i | 0.0626467 | + | 0.189572i | ||||
\(327\) | −44.9628 | − | 4.51726i | −2.48645 | − | 0.249805i | ||||
\(328\) | 0.787736 | + | 2.72285i | 0.0434955 | + | 0.150344i | ||||
\(329\) | 1.89738 | − | 6.26366i | 0.104606 | − | 0.345327i | ||||
\(330\) | 16.8649 | + | 35.4245i | 0.928382 | + | 1.95006i | ||||
\(331\) | −10.8978 | − | 4.45421i | −0.598998 | − | 0.244826i | 0.0584932 | − | 0.998288i | \(-0.481370\pi\) |
−0.657491 | + | 0.753462i | \(0.728382\pi\) | |||||||
\(332\) | 15.0333 | − | 4.24746i | 0.825061 | − | 0.233109i | ||||
\(333\) | −25.2410 | + | 14.6432i | −1.38320 | + | 0.802442i | ||||
\(334\) | −23.5522 | + | 17.9360i | −1.28872 | + | 0.981416i | ||||
\(335\) | −3.06856 | − | 2.65587i | −0.167653 | − | 0.145105i | ||||
\(336\) | −0.935242 | + | 29.8790i | −0.0510216 | + | 1.63003i | ||||
\(337\) | 2.72474 | − | 6.32471i | 0.148426 | − | 0.344529i | −0.827886 | − | 0.560896i | \(-0.810457\pi\) |
0.976312 | + | 0.216367i | \(0.0694209\pi\) | |||||||
\(338\) | −40.6947 | − | 9.86426i | −2.21350 | − | 0.536545i | ||||
\(339\) | −8.05942 | − | 3.41243i | −0.437728 | − | 0.185338i | ||||
\(340\) | 20.2873 | + | 7.70514i | 1.10024 | + | 0.417870i | ||||
\(341\) | 2.17774 | + | 5.23436i | 0.117931 | + | 0.283457i | ||||
\(342\) | −72.7319 | − | 51.1917i | −3.93289 | − | 2.76813i | ||||
\(343\) | 16.8084 | − | 10.9105i | 0.907570 | − | 0.589114i | ||||
\(344\) | −0.812563 | − | 2.68244i | −0.0438105 | − | 0.144627i | ||||
\(345\) | 59.2767 | − | 53.9580i | 3.19135 | − | 2.90500i | ||||
\(346\) | 14.8141 | − | 31.1169i | 0.796412 | − | 1.67286i | ||||
\(347\) | −21.2713 | − | 19.3627i | −1.14191 | − | 1.03945i | −0.998762 | − | 0.0497439i | \(-0.984159\pi\) |
−0.143143 | − | 0.989702i | \(-0.545721\pi\) | |||||||
\(348\) | −7.91776 | + | 3.23619i | −0.424436 | + | 0.173478i | ||||
\(349\) | 9.38697 | − | 7.33601i | 0.502473 | − | 0.392688i | −0.332393 | − | 0.943141i | \(-0.607856\pi\) |
0.834866 | + | 0.550453i | \(0.185545\pi\) | |||||||
\(350\) | 15.6492 | − | 22.5323i | 0.836484 | − | 1.20440i | ||||
\(351\) | 44.8527 | + | 35.9661i | 2.39406 | + | 1.91973i | ||||
\(352\) | −7.19696 | − | 10.9369i | −0.383599 | − | 0.582940i | ||||
\(353\) | −3.41709 | + | 1.60065i | −0.181873 | + | 0.0851942i | −0.512986 | − | 0.858397i | \(-0.671461\pi\) |
0.331112 | + | 0.943591i | \(0.392576\pi\) | |||||||
\(354\) | −42.3834 | + | 66.1981i | −2.25265 | + | 3.51839i | ||||
\(355\) | −32.3833 | + | 16.1696i | −1.71872 | + | 0.858193i | ||||
\(356\) | 13.0906 | − | 0.655931i | 0.693799 | − | 0.0347642i | ||||
\(357\) | 2.28687 | − | 28.0474i | 0.121034 | − | 1.48443i | ||||
\(358\) | 2.00783 | − | 0.381452i | 0.106117 | − | 0.0201604i | ||||
\(359\) | 11.8436 | − | 19.0185i | 0.625083 | − | 1.00376i | −0.372059 | − | 0.928209i | \(-0.621348\pi\) |
0.997142 | − | 0.0755466i | \(-0.0240702\pi\) | |||||||
\(360\) | −21.1110 | + | 15.6634i | −1.11265 | + | 0.825533i | ||||
\(361\) | −28.9329 | + | 32.1873i | −1.52279 | + | 1.69407i | ||||
\(362\) | −31.0778 | + | 29.0088i | −1.63341 | + | 1.52467i | ||||
\(363\) | 4.83204 | − | 20.4938i | 0.253616 | − | 1.07564i | ||||
\(364\) | 15.8441 | + | 3.42309i | 0.830459 | + | 0.179419i | ||||
\(365\) | 1.16479 | − | 2.36975i | 0.0609680 | − | 0.124038i | ||||
\(366\) | −9.54379 | − | 24.6623i | −0.498862 | − | 1.28912i | ||||
\(367\) | 14.7907 | − | 0.185135i | 0.772069 | − | 0.00966396i | 0.374489 | − | 0.927231i | \(-0.377818\pi\) |
0.397580 | + | 0.917567i | \(0.369850\pi\) | |||||||
\(368\) | −23.4821 | + | 28.1832i | −1.22409 | + | 1.46915i | ||||
\(369\) | −13.6458 | − | 4.79541i | −0.710371 | − | 0.249639i | ||||
\(370\) | −30.3583 | + | 2.66664i | −1.57825 | + | 0.138632i | ||||
\(371\) | 16.8454 | + | 15.7240i | 0.874572 | + | 0.816348i | ||||
\(372\) | 9.50210 | − | 6.33836i | 0.492661 | − | 0.328628i | ||||
\(373\) | −4.44960 | + | 16.9594i | −0.230392 | + | 0.878126i | 0.746674 | + | 0.665190i | \(0.231649\pi\) |
−0.977066 | + | 0.212937i | \(0.931697\pi\) | |||||||
\(374\) | 8.57305 | + | 14.5669i | 0.443302 | + | 0.753235i | ||||
\(375\) | 25.8885 | − | 1.62226i | 1.33688 | − | 0.0837733i | ||||
\(376\) | −3.41058 | + | 1.92195i | −0.175887 | + | 0.0991171i | ||||
\(377\) | −2.59379 | − | 12.3805i | −0.133587 | − | 0.637628i | ||||
\(378\) | −28.1795 | − | 21.4599i | −1.44940 | − | 1.10378i | ||||
\(379\) | 8.90049 | + | 1.11987i | 0.457188 | + | 0.0575237i | 0.350072 | − | 0.936723i | \(-0.386157\pi\) |
0.107116 | + | 0.994247i | \(0.465838\pi\) | |||||||
\(380\) | −18.4848 | − | 32.3274i | −0.948252 | − | 1.65836i | ||||
\(381\) | −5.89497 | + | 16.4449i | −0.302008 | + | 0.842498i | ||||
\(382\) | −14.7646 | + | 10.6707i | −0.755422 | + | 0.545962i | ||||
\(383\) | −18.0168 | − | 1.35557i | −0.920617 | − | 0.0692666i | −0.393753 | − | 0.919216i | \(-0.628823\pi\) |
−0.526864 | + | 0.849950i | \(0.676632\pi\) | |||||||
\(384\) | 19.7548 | − | 19.3874i | 1.00811 | − | 0.989357i | ||||
\(385\) | 13.7414 | − | 4.06884i | 0.700329 | − | 0.207367i | ||||
\(386\) | 6.90302 | + | 37.6175i | 0.351354 | + | 1.91468i | ||||
\(387\) | 13.5514 | + | 4.57253i | 0.688859 | + | 0.232435i | ||||
\(388\) | −6.26732 | + | 0.156920i | −0.318175 | + | 0.00796641i | ||||
\(389\) | 2.92631 | + | 11.7507i | 0.148370 | + | 0.595785i | 0.997691 | + | 0.0679093i | \(0.0216328\pi\) |
−0.849322 | + | 0.527876i | \(0.822989\pi\) | |||||||
\(390\) | 51.5649 | + | 104.908i | 2.61109 | + | 5.31221i | ||||
\(391\) | 23.4049 | − | 25.3909i | 1.18364 | − | 1.28407i | ||||
\(392\) | −3.46319 | − | 0.657944i | −0.174918 | − | 0.0332312i | ||||
\(393\) | −2.77008 | + | 10.0442i | −0.139732 | + | 0.506662i | ||||
\(394\) | −30.9296 | − | 32.7226i | −1.55821 | − | 1.64854i | ||||
\(395\) | −0.560659 | + | 0.212939i | −0.0282098 | + | 0.0107141i | ||||
\(396\) | 16.5945 | + | 0.623398i | 0.833904 | + | 0.0313269i | ||||
\(397\) | 13.0973 | − | 3.52407i | 0.657337 | − | 0.176868i | 0.0843547 | − | 0.996436i | \(-0.473117\pi\) |
0.572982 | + | 0.819568i | \(0.305786\pi\) | |||||||
\(398\) | −8.24773 | + | 6.78495i | −0.413421 | + | 0.340099i | ||||
\(399\) | −33.6069 | + | 34.6753i | −1.68245 | + | 1.73594i | ||||
\(400\) | −35.5730 | + | 7.22066i | −1.77865 | + | 0.361033i | ||||
\(401\) | 26.9188 | + | 19.9725i | 1.34426 | + | 0.997378i | 0.998249 | + | 0.0591465i | \(0.0188379\pi\) |
0.346009 | + | 0.938231i | \(0.387537\pi\) | |||||||
\(402\) | −5.92459 | + | 2.33542i | −0.295491 | + | 0.116480i | ||||
\(403\) | 6.68313 | + | 15.5130i | 0.332910 | + | 0.772758i | ||||
\(404\) | 2.23543 | + | 13.1036i | 0.111217 | + | 0.651928i | ||||
\(405\) | −0.697754 | − | 37.1607i | −0.0346717 | − | 1.84653i | ||||
\(406\) | 1.78844 | + | 7.58518i | 0.0887587 | + | 0.376446i | ||||
\(407\) | −7.91651 | − | 5.28069i | −0.392407 | − | 0.261754i | ||||
\(408\) | −12.5887 | + | 11.1743i | −0.623234 | + | 0.553209i | ||||
\(409\) | 1.74897 | + | 1.99536i | 0.0864808 | + | 0.0986643i | 0.793632 | − | 0.608398i | \(-0.208187\pi\) |
−0.707151 | + | 0.707062i | \(0.750020\pi\) | |||||||
\(410\) | −10.7809 | − | 10.5803i | −0.532428 | − | 0.522525i | ||||
\(411\) | −32.4872 | − | 17.2506i | −1.60248 | − | 0.850909i | ||||
\(412\) | 0.0982450 | − | 15.6985i | 0.00484019 | − | 0.773411i | ||||
\(413\) | 21.4728 | + | 19.0601i | 1.05661 | + | 0.937888i | ||||
\(414\) | −21.4759 | − | 81.8543i | −1.05548 | − | 4.02292i | ||||
\(415\) | 29.0065 | − | 29.1886i | 1.42387 | − | 1.43281i | ||||
\(416\) | −21.8490 | − | 32.3149i | −1.07124 | − | 1.58437i | ||||
\(417\) | −48.7336 | + | 26.6646i | −2.38649 | + | 1.30577i | ||||
\(418\) | 4.51934 | − | 28.6500i | 0.221048 | − | 1.40132i | ||||
\(419\) | 11.2787 | − | 1.99682i | 0.551000 | − | 0.0975513i | 0.108129 | − | 0.994137i | \(-0.465514\pi\) |
0.442871 | + | 0.896586i | \(0.353960\pi\) | |||||||
\(420\) | −13.3812 | − | 25.5855i | −0.652936 | − | 1.24844i | ||||
\(421\) | −24.0592 | + | 12.7754i | −1.17258 | + | 0.622633i | −0.937036 | − | 0.349232i | \(-0.886442\pi\) |
−0.235539 | + | 0.971865i | \(0.575686\pi\) | |||||||
\(422\) | 40.0364 | + | 11.8548i | 1.94894 | + | 0.577082i | ||||
\(423\) | 2.12127 | − | 19.8636i | 0.103140 | − | 0.965800i | ||||
\(424\) | −0.775950 | − | 13.7621i | −0.0376835 | − | 0.668348i | ||||
\(425\) | 33.7850 | − | 5.11286i | 1.63881 | − | 0.248010i | ||||
\(426\) | −1.06630 | + | 56.7885i | −0.0516623 | + | 2.75141i | ||||
\(427\) | −9.44163 | + | 2.03984i | −0.456913 | + | 0.0987149i | ||||
\(428\) | −0.881422 | + | 3.53938i | −0.0426051 | + | 0.171083i | ||||
\(429\) | −7.93139 | + | 35.6296i | −0.382931 | + | 1.72021i | ||||
\(430\) | 10.7904 | + | 10.3278i | 0.520359 | + | 0.498048i | ||||
\(431\) | −0.820278 | − | 2.38172i | −0.0395114 | − | 0.114724i | 0.923999 | − | 0.382396i | \(-0.124901\pi\) |
−0.963510 | + | 0.267672i | \(0.913746\pi\) | |||||||
\(432\) | 7.30254 | + | 46.2939i | 0.351344 | + | 2.22732i | ||||
\(433\) | 2.29264 | + | 2.97176i | 0.110177 | + | 0.142813i | 0.843625 | − | 0.536932i | \(-0.180417\pi\) |
−0.733448 | + | 0.679746i | \(0.762090\pi\) | |||||||
\(434\) | −4.35538 | − | 9.45144i | −0.209065 | − | 0.453684i | ||||
\(435\) | −13.9850 | + | 17.6659i | −0.670531 | + | 0.847015i | ||||
\(436\) | −17.0216 | + | 10.4529i | −0.815188 | + | 0.500601i | ||||
\(437\) | −58.6965 | + | 8.13275i | −2.80783 | + | 0.389042i | ||||
\(438\) | −2.44808 | − | 3.34303i | −0.116974 | − | 0.159736i | ||||
\(439\) | −9.50185 | + | 13.3221i | −0.453498 | + | 0.635828i | −0.976247 | − | 0.216658i | \(-0.930484\pi\) |
0.522749 | + | 0.852487i | \(0.324907\pi\) | |||||||
\(440\) | −7.62098 | − | 3.92523i | −0.363316 | − | 0.187128i | ||||
\(441\) | 12.9949 | − | 12.4378i | 0.618806 | − | 0.592275i | ||||
\(442\) | 26.0840 | + | 43.0780i | 1.24069 | + | 2.04901i | ||||
\(443\) | −8.95279 | + | 9.47180i | −0.425360 | + | 0.450019i | −0.903706 | − | 0.428153i | \(-0.859165\pi\) |
0.478346 | + | 0.878171i | \(0.341236\pi\) | |||||||
\(444\) | −7.36467 | + | 17.7015i | −0.349512 | + | 0.840076i | ||||
\(445\) | 29.1927 | − | 18.4341i | 1.38387 | − | 0.873861i | ||||
\(446\) | −18.0206 | − | 8.44132i | −0.853301 | − | 0.399708i | ||||
\(447\) | −2.05928 | − | 14.2078i | −0.0974004 | − | 0.672005i | ||||
\(448\) | 2.48953 | + | 3.49045i | 0.117619 | + | 0.164908i | ||||
\(449\) | 3.60571 | − | 10.9111i | 0.170164 | − | 0.514925i | −0.828843 | − | 0.559482i | \(-0.811000\pi\) |
0.999007 | + | 0.0445565i | \(0.0141875\pi\) | |||||||
\(450\) | 34.0903 | − | 76.4821i | 1.60703 | − | 3.60540i | ||||
\(451\) | −0.559526 | − | 4.68346i | −0.0263470 | − | 0.220536i | ||||
\(452\) | −3.74809 | + | 0.958347i | −0.176295 | + | 0.0450769i | ||||
\(453\) | 5.74818 | + | 1.62407i | 0.270073 | + | 0.0763053i | ||||
\(454\) | −6.08823 | − | 4.75801i | −0.285735 | − | 0.223304i | ||||
\(455\) | 40.7868 | − | 12.6343i | 1.91211 | − | 0.592306i | ||||
\(456\) | 28.8643 | − | 1.08433i | 1.35170 | − | 0.0507786i | ||||
\(457\) | 15.8004 | − | 6.69002i | 0.739112 | − | 0.312946i | 0.0124322 | − | 0.999923i | \(-0.496043\pi\) |
0.726680 | + | 0.686977i | \(0.241063\pi\) | |||||||
\(458\) | −39.3294 | + | 6.45645i | −1.83774 | + | 0.301690i | ||||
\(459\) | −4.68478 | − | 43.8684i | −0.218667 | − | 2.04760i | ||||
\(460\) | 6.39516 | − | 34.8499i | 0.298176 | − | 1.62489i | ||||
\(461\) | 12.6629 | − | 22.8034i | 0.589771 | − | 1.06206i | −0.399606 | − | 0.916687i | \(-0.630853\pi\) |
0.989377 | − | 0.145372i | \(-0.0464379\pi\) | |||||||
\(462\) | 4.33552 | − | 22.0667i | 0.201707 | − | 1.02663i | ||||
\(463\) | 11.4418 | + | 11.5136i | 0.531744 | + | 0.535082i | 0.922797 | − | 0.385286i | \(-0.125897\pi\) |
−0.391053 | + | 0.920368i | \(0.627889\pi\) | |||||||
\(464\) | 5.23006 | − | 8.88665i | 0.242799 | − | 0.412552i | ||||
\(465\) | 13.6091 | − | 26.8338i | 0.631108 | − | 1.24439i | ||||
\(466\) | −11.9891 | − | 15.1446i | −0.555382 | − | 0.701560i | ||||
\(467\) | −6.40841 | − | 2.34257i | −0.296546 | − | 0.108401i | 0.190749 | − | 0.981639i | \(-0.438908\pi\) |
−0.487294 | + | 0.873238i | \(0.662016\pi\) | |||||||
\(468\) | 49.4615 | + | 1.23841i | 2.28636 | + | 0.0572455i | ||||
\(469\) | 0.505446 | + | 2.27058i | 0.0233393 | + | 0.104846i | ||||
\(470\) | 10.8058 | − | 17.8459i | 0.498435 | − | 0.823170i | ||||
\(471\) | −11.3236 | − | 41.0589i | −0.521766 | − | 1.89190i | ||||
\(472\) | −1.39570 | − | 17.1176i | −0.0642425 | − | 0.787903i | ||||
\(473\) | 0.611187 | + | 4.62379i | 0.0281024 | + | 0.212602i | ||||
\(474\) | −0.111639 | + | 0.934461i | −0.00512773 | + | 0.0429212i | ||||
\(475\) | −50.3456 | − | 30.0557i | −2.31002 | − | 1.37905i | ||||
\(476\) | −6.70711 | − | 10.4757i | −0.307420 | − | 0.480154i | ||||
\(477\) | 59.4718 | + | 37.5543i | 2.72303 | + | 1.71949i | ||||
\(478\) | 17.0821 | − | 12.0231i | 0.781316 | − | 0.549922i | ||||
\(479\) | 8.04163 | − | 20.0320i | 0.367432 | − | 0.915284i | −0.623611 | − | 0.781735i | \(-0.714335\pi\) |
0.991042 | − | 0.133548i | \(-0.0426372\pi\) | |||||||
\(480\) | −19.3099 | + | 66.7458i | −0.881374 | + | 3.04651i | ||||
\(481\) | −23.7818 | − | 15.4370i | −1.08436 | − | 0.703868i | ||||
\(482\) | 2.67645 | + | 6.66712i | 0.121909 | + | 0.303679i | ||||
\(483\) | −45.7151 | + | 4.59283i | −2.08011 | + | 0.208981i | ||||
\(484\) | −3.78914 | − | 8.50100i | −0.172234 | − | 0.386409i | ||||
\(485\) | −14.1797 | + | 8.46507i | −0.643865 | + | 0.384379i | ||||
\(486\) | −5.13525 | − | 2.56413i | −0.232940 | − | 0.116311i | ||||
\(487\) | 28.4913 | + | 12.4863i | 1.29106 | + | 0.565806i | 0.930283 | − | 0.366844i | \(-0.119562\pi\) |
0.360782 | + | 0.932650i | \(0.382510\pi\) | |||||||
\(488\) | 4.92370 | + | 3.02361i | 0.222885 | + | 0.136872i | ||||
\(489\) | 5.61082 | − | 2.05101i | 0.253730 | − | 0.0927500i | ||||
\(490\) | 17.7997 | − | 6.00598i | 0.804110 | − | 0.271323i | ||||
\(491\) | −6.06524 | − | 10.9223i | −0.273720 | − | 0.492915i | 0.701930 | − | 0.712246i | \(-0.252322\pi\) |
−0.975651 | + | 0.219331i | \(0.929613\pi\) | |||||||
\(492\) | −9.04155 | + | 2.92527i | −0.407624 | + | 0.131881i | ||||
\(493\) | −5.33581 | + | 8.10861i | −0.240313 | + | 0.365194i | ||||
\(494\) | 12.3957 | − | 85.5228i | 0.557707 | − | 3.84785i | ||||
\(495\) | 38.8881 | − | 20.0295i | 1.74789 | − | 0.900261i | ||||
\(496\) | −4.48382 | + | 13.0190i | −0.201329 | + | 0.584571i | ||||
\(497\) | 20.4292 | + | 3.61688i | 0.916377 | + | 0.162239i | ||||
\(498\) | −19.4925 | − | 61.5609i | −0.873478 | − | 2.75861i | ||||
\(499\) | −1.36485 | + | 6.51461i | −0.0610991 | + | 0.291634i | −0.998377 | − | 0.0569487i | \(-0.981863\pi\) |
0.937278 | + | 0.348583i | \(0.113337\pi\) | |||||||
\(500\) | 8.66964 | − | 7.50365i | 0.387718 | − | 0.335574i | ||||
\(501\) | 30.9299 | + | 38.0814i | 1.38185 | + | 1.70135i | ||||
\(502\) | 11.9149 | 0.531788 | ||||||||
\(503\) | 15.5163 | − | 16.1940i | 0.691836 | − | 0.722055i | ||||
\(504\) | 15.0675 | 0.671159 | ||||||||
\(505\) | 22.0757 | + | 27.1799i | 0.982355 | + | 1.20949i | ||||
\(506\) | 20.8665 | − | 18.0601i | 0.927628 | − | 0.802870i | ||||
\(507\) | −14.2291 | + | 67.9172i | −0.631934 | + | 3.01631i | ||||
\(508\) | 2.33102 | + | 7.36182i | 0.103423 | + | 0.326628i | ||||
\(509\) | −40.0634 | − | 7.09299i | −1.77578 | − | 0.314391i | −0.812514 | − | 0.582941i | \(-0.801902\pi\) |
−0.963266 | + | 0.268550i | \(0.913456\pi\) | |||||||
\(510\) | 29.2102 | − | 84.8135i | 1.29345 | − | 3.75560i | ||||
\(511\) | −1.34554 | + | 0.693027i | −0.0595231 | + | 0.0306577i | ||||
\(512\) | 2.86704 | − | 19.7809i | 0.126707 | − | 0.874202i | ||||
\(513\) | −41.6156 | + | 63.2415i | −1.83737 | + | 2.79218i | ||||
\(514\) | 15.6158 | − | 5.05228i | 0.688783 | − | 0.222847i | ||||
\(515\) | −20.0760 | − | 36.1529i | −0.884656 | − | 1.59309i | ||||
\(516\) | 8.90352 | − | 3.00423i | 0.391956 | − | 0.132254i | ||||
\(517\) | 6.11851 | − | 2.23660i | 0.269092 | − | 0.0983654i | ||||
\(518\) | 14.8853 | + | 9.14097i | 0.654024 | + | 0.401631i | ||||
\(519\) | −52.3093 | − | 22.9245i | −2.29613 | − | 1.00627i | ||||
\(520\) | −22.8508 | − | 11.4099i | −1.00207 | − | 0.500355i | ||||
\(521\) | −7.95015 | + | 4.74613i | −0.348302 | + | 0.207932i | −0.676089 | − | 0.736820i | \(-0.736327\pi\) |
0.327787 | + | 0.944752i | \(0.393697\pi\) | |||||||
\(522\) | 9.68417 | + | 21.7266i | 0.423865 | + | 0.950948i | ||||
\(523\) | 6.21609 | − | 0.624508i | 0.271811 | − | 0.0273078i | 0.0368790 | − | 0.999320i | \(-0.488258\pi\) |
0.234932 | + | 0.972012i | \(0.424513\pi\) | |||||||
\(524\) | 1.71577 | + | 4.27404i | 0.0749537 | + | 0.186712i | ||||
\(525\) | −38.1332 | − | 24.7527i | −1.66427 | − | 1.08030i | ||||
\(526\) | −3.08127 | + | 10.6506i | −0.134350 | + | 0.464387i | ||||
\(527\) | 4.82889 | − | 12.0289i | 0.210350 | − | 0.523987i | ||||
\(528\) | −24.3327 | + | 17.1263i | −1.05894 | + | 0.745327i | ||||
\(529\) | −28.2251 | − | 17.8231i | −1.22718 | − | 0.774918i | ||||
\(530\) | 39.6077 | + | 61.8626i | 1.72045 | + | 2.68714i | ||||
\(531\) | 75.2482 | + | 44.9222i | 3.26549 | + | 1.94946i | ||||
\(532\) | −2.53205 | + | 21.1943i | −0.109778 | + | 0.918889i | ||||
\(533\) | −1.84159 | − | 13.9321i | −0.0797680 | − | 0.603466i | ||||
\(534\) | −4.40284 | − | 53.9988i | −0.190530 | − | 2.33676i | ||||
\(535\) | 2.55443 | + | 9.26224i | 0.110438 | + | 0.400441i | ||||
\(536\) | 0.720699 | − | 1.19024i | 0.0311295 | − | 0.0514105i | ||||
\(537\) | −0.735927 | − | 3.30595i | −0.0317576 | − | 0.142662i | ||||
\(538\) | −41.3728 | − | 1.03589i | −1.78371 | − | 0.0446602i | ||||
\(539\) | 5.50944 | + | 2.01395i | 0.237308 | + | 0.0867471i | ||||
\(540\) | −28.0967 | − | 35.4918i | −1.20909 | − | 1.52732i | ||||
\(541\) | 14.2922 | − | 28.1807i | 0.614471 | − | 1.21158i | −0.347307 | − | 0.937752i | \(-0.612904\pi\) |
0.961777 | − | 0.273833i | \(-0.0882915\pi\) | |||||||
\(542\) | −3.26890 | + | 5.55435i | −0.140411 | + | 0.238580i | ||||
\(543\) | 49.6608 | + | 49.9726i | 2.13115 | + | 2.14453i | ||||
\(544\) | −5.77088 | + | 29.3722i | −0.247424 | + | 1.25932i | ||||
\(545\) | −25.5444 | + | 46.0003i | −1.09420 | + | 1.97044i | ||||
\(546\) | 12.0935 | − | 65.9027i | 0.517555 | − | 2.82038i | ||||
\(547\) | 0.217503 | + | 2.03670i | 0.00929974 | + | 0.0870829i | 0.998042 | − | 0.0625447i | \(-0.0199216\pi\) |
−0.988742 | + | 0.149628i | \(0.952193\pi\) | |||||||
\(548\) | −16.0445 | + | 2.63391i | −0.685386 | + | 0.112515i | ||||
\(549\) | −27.1503 | + | 11.4957i | −1.15875 | + | 0.490623i | ||||
\(550\) | 27.2875 | − | 1.02510i | 1.16354 | − | 0.0437104i | ||||
\(551\) | 15.9107 | − | 4.92859i | 0.677821 | − | 0.209965i | ||||
\(552\) | 21.6545 | + | 16.9232i | 0.921675 | + | 0.720298i | ||||
\(553\) | 0.330810 | + | 0.0934658i | 0.0140675 | + | 0.00397457i | ||||
\(554\) | 12.0418 | − | 3.07895i | 0.511606 | − | 0.130812i | ||||
\(555\) | 5.99092 | + | 50.1464i | 0.254300 | + | 2.12860i | ||||
\(556\) | −9.99691 | + | 22.4282i | −0.423963 | + | 0.951169i | ||||
\(557\) | 7.87595 | − | 23.8330i | 0.333715 | − | 1.00984i | −0.637259 | − | 0.770650i | \(-0.719932\pi\) |
0.970973 | − | 0.239187i | \(-0.0768810\pi\) | |||||||
\(558\) | −18.4448 | − | 25.8605i | −0.780830 | − | 1.09476i | ||||
\(559\) | 1.99327 | + | 13.7524i | 0.0843065 | + | 0.581665i | ||||
\(560\) | 31.5205 | + | 14.7650i | 1.33198 | + | 0.623935i | ||||
\(561\) | 23.6837 | − | 14.9554i | 0.999929 | − | 0.631418i | ||||
\(562\) | −8.95540 | + | 21.5249i | −0.377761 | + | 0.907974i | ||||
\(563\) | 19.7515 | − | 20.8965i | 0.832427 | − | 0.880684i | −0.161926 | − | 0.986803i | \(-0.551771\pi\) |
0.994353 | + | 0.106119i | \(0.0338424\pi\) | |||||||
\(564\) | −6.79812 | − | 11.2271i | −0.286252 | − | 0.472748i | ||||
\(565\) | −7.36198 | + | 7.04634i | −0.309721 | + | 0.296442i | ||||
\(566\) | −14.5604 | − | 7.49944i | −0.612021 | − | 0.315225i | ||||
\(567\) | −12.3706 | + | 17.3442i | −0.519515 | + | 0.728387i | ||||
\(568\) | −7.33214 | − | 10.0125i | −0.307650 | − | 0.420117i | ||||
\(569\) | −4.74323 | + | 0.657203i | −0.198847 | + | 0.0275514i | −0.235975 | − | 0.971759i | \(-0.575828\pi\) |
0.0371284 | + | 0.999311i | \(0.488179\pi\) | |||||||
\(570\) | −131.170 | + | 80.5506i | −5.49411 | + | 3.37389i | ||||
\(571\) | −11.7030 | + | 14.7833i | −0.489756 | + | 0.618660i | −0.965335 | − | 0.261013i | \(-0.915944\pi\) |
0.475580 | + | 0.879673i | \(0.342238\pi\) | |||||||
\(572\) | 6.75270 | + | 14.6538i | 0.282345 | + | 0.612705i | ||||
\(573\) | 18.4402 | + | 23.9025i | 0.770352 | + | 0.998540i | ||||
\(574\) | 1.34908 | + | 8.55242i | 0.0563097 | + | 0.356971i | ||||
\(575\) | −18.1668 | − | 52.7484i | −0.757609 | − | 2.19976i | ||||
\(576\) | 9.45378 | + | 9.04845i | 0.393907 | + | 0.377019i | ||||
\(577\) | −3.66808 | + | 16.4779i | −0.152704 | + | 0.685982i | 0.837509 | + | 0.546423i | \(0.184011\pi\) |
−0.990214 | + | 0.139559i | \(0.955431\pi\) | |||||||
\(578\) | 1.83252 | − | 7.35857i | 0.0762230 | − | 0.306076i | ||||
\(579\) | 61.9508 | − | 13.3843i | 2.57459 | − | 0.556233i | ||||
\(580\) | −0.186974 | + | 9.95779i | −0.00776367 | + | 0.413475i | ||||
\(581\) | −23.3213 | + | 3.52934i | −0.967530 | + | 0.146422i | ||||
\(582\) | 1.45880 | + | 25.8731i | 0.0604694 | + | 1.07247i | ||||
\(583\) | −2.43566 | + | 22.8075i | −0.100875 | + | 0.944592i | ||||
\(584\) | 0.868085 | + | 0.257040i | 0.0359216 | + | 0.0106364i | ||||
\(585\) | 115.109 | − | 61.1222i | 4.75915 | − | 2.52709i | ||||
\(586\) | −4.57864 | − | 8.75457i | −0.189142 | − | 0.361648i | ||||
\(587\) | 27.0789 | − | 4.79416i | 1.11767 | − | 0.197876i | 0.415296 | − | 0.909687i | \(-0.363678\pi\) |
0.702372 | + | 0.711810i | \(0.252124\pi\) | |||||||
\(588\) | 1.84150 | − | 11.6740i | 0.0759421 | − | 0.481429i | ||||
\(589\) | −19.5127 | + | 10.6764i | −0.804008 | + | 0.439913i | ||||
\(590\) | 51.2639 | + | 75.8197i | 2.11050 | + | 3.12145i | ||||
\(591\) | −52.5974 | + | 52.9276i | −2.16357 | + | 2.17715i | ||||
\(592\) | −5.86547 | − | 22.3559i | −0.241069 | − | 0.918823i | ||||
\(593\) | −9.18749 | − | 8.15521i | −0.377285 | − | 0.334894i | 0.453735 | − | 0.891137i | \(-0.350091\pi\) |
−0.831020 | + | 0.556242i | \(0.812243\pi\) | |||||||
\(594\) | 0.220642 | − | 35.2562i | 0.00905303 | − | 1.44658i | ||||
\(595\) | −28.9392 | − | 15.3666i | −1.18639 | − | 0.629968i | ||||
\(596\) | −4.52914 | − | 4.44489i | −0.185521 | − | 0.182070i | ||||
\(597\) | 11.6660 | + | 13.3096i | 0.477459 | + | 0.544724i | ||||
\(598\) | 61.4919 | − | 54.5829i | 2.51459 | − | 2.23206i | ||||
\(599\) | −32.8087 | − | 21.8850i | −1.34053 | − | 0.894196i | −0.341570 | − | 0.939856i | \(-0.610959\pi\) |
−0.998957 | + | 0.0456604i | \(0.985461\pi\) | |||||||
\(600\) | 6.24074 | + | 26.4684i | 0.254777 | + | 1.08057i | ||||
\(601\) | −0.320157 | − | 17.0508i | −0.0130595 | − | 0.695517i | −0.943926 | − | 0.330157i | \(-0.892898\pi\) |
0.930866 | − | 0.365360i | \(-0.119054\pi\) | |||||||
\(602\) | −1.43974 | − | 8.43941i | −0.0586793 | − | 0.343965i | ||||
\(603\) | 2.80920 | + | 6.52078i | 0.114400 | + | 0.265547i | ||||
\(604\) | 2.45637 | − | 0.968281i | 0.0999483 | − | 0.0393988i | ||||
\(605\) | −19.6891 | − | 14.6084i | −0.800476 | − | 0.593916i | ||||
\(606\) | 53.8483 | − | 10.9302i | 2.18744 | − | 0.444010i | ||||
\(607\) | −30.0132 | + | 30.9673i | −1.21820 | + | 1.25692i | −0.261712 | + | 0.965146i | \(0.584287\pi\) |
−0.956486 | + | 0.291779i | \(0.905753\pi\) | |||||||
\(608\) | 39.6682 | − | 32.6328i | 1.60876 | − | 1.32344i | ||||
\(609\) | 12.4712 | − | 3.35559i | 0.505358 | − | 0.135975i | ||||
\(610\) | −30.7695 | − | 1.15591i | −1.24582 | − | 0.0468013i | ||||
\(611\) | 18.1449 | − | 6.89143i | 0.734063 | − | 0.278798i | ||||
\(612\) | −26.0804 | − | 27.5923i | −1.05424 | − | 1.11535i | ||||
\(613\) | −6.57196 | + | 23.8296i | −0.265439 | + | 0.962467i | 0.702583 | + | 0.711602i | \(0.252030\pi\) |
−0.968022 | + | 0.250865i | \(0.919285\pi\) | |||||||
\(614\) | 15.7548 | + | 2.99312i | 0.635810 | + | 0.120792i | ||||
\(615\) | −16.9660 | + | 18.4057i | −0.684137 | + | 0.742189i | ||||
\(616\) | 2.16749 | + | 4.40972i | 0.0873306 | + | 0.177673i | ||||
\(617\) | −0.482733 | − | 1.93843i | −0.0194341 | − | 0.0780383i | 0.959861 | − | 0.280476i | \(-0.0904922\pi\) |
−0.979295 | + | 0.202437i | \(0.935114\pi\) | |||||||
\(618\) | −64.8711 | + | 1.62423i | −2.60950 | + | 0.0653362i | ||||
\(619\) | 20.2336 | + | 6.82723i | 0.813258 | + | 0.274409i | 0.695402 | − | 0.718621i | \(-0.255226\pi\) |
0.117856 | + | 0.993031i | \(0.462398\pi\) | |||||||
\(620\) | −2.40046 | − | 13.0811i | −0.0964050 | − | 0.525352i | ||||
\(621\) | −69.0674 | + | 20.4509i | −2.77158 | + | 0.820665i | ||||
\(622\) | 37.0113 | − | 36.3229i | 1.48402 | − | 1.45642i | ||||
\(623\) | −19.7340 | − | 1.48477i | −0.790625 | − | 0.0594861i | ||||
\(624\) | −71.8532 | + | 51.9301i | −2.87643 | + | 2.07887i | ||||
\(625\) | −2.34400 | + | 6.53894i | −0.0937599 | + | 0.261558i | ||||
\(626\) | 2.07666 | + | 3.63178i | 0.0829998 | + | 0.145155i | ||||
\(627\) | −47.6896 | − | 6.00034i | −1.90454 | − | 0.239630i | ||||
\(628\) | −14.9780 | − | 11.4064i | −0.597689 | − | 0.455166i | ||||
\(629\) | 4.46139 | + | 21.2948i | 0.177887 | + | 0.849079i | ||||
\(630\) | −69.9531 | + | 39.4204i | −2.78700 | + | 1.57055i | ||||
\(631\) | 20.2058 | − | 1.26616i | 0.804379 | − | 0.0504051i | 0.344952 | − | 0.938620i | \(-0.387895\pi\) |
0.459427 | + | 0.888215i | \(0.348055\pi\) | |||||||
\(632\) | −0.104295 | − | 0.177213i | −0.00414865 | − | 0.00704917i | ||||
\(633\) | 17.5603 | − | 66.9300i | 0.697957 | − | 2.66023i | ||||
\(634\) | −28.2401 | + | 18.8375i | −1.12156 | + | 0.748131i | ||||
\(635\) | 14.8697 | + | 13.8798i | 0.590088 | + | 0.550803i | ||||
\(636\) | 46.0350 | − | 4.04367i | 1.82541 | − | 0.160342i | ||||
\(637\) | 16.4888 | + | 5.79452i | 0.653311 | + | 0.229587i | ||||
\(638\) | −4.96551 | + | 5.95963i | −0.196587 | + | 0.235944i | ||||
\(639\) | 63.3211 | − | 0.792588i | 2.50494 | − | 0.0313543i | ||||
\(640\) | −11.6312 | − | 30.0565i | −0.459764 | − | 1.18809i | ||||
\(641\) | 15.9570 | − | 32.4643i | 0.630265 | − | 1.28226i | −0.312852 | − | 0.949802i | \(-0.601284\pi\) |
0.943117 | − | 0.332461i | \(-0.107879\pi\) | |||||||
\(642\) | 14.7369 | + | 3.18388i | 0.581620 | + | 0.125658i | ||||
\(643\) | 0.947304 | − | 4.01773i | 0.0373580 | − | 0.158444i | −0.951403 | − | 0.307949i | \(-0.900358\pi\) |
0.988761 | + | 0.149505i | \(0.0477679\pi\) | |||||||
\(644\) | −14.8464 | + | 13.8580i | −0.585030 | + | 0.546082i | ||||
\(645\) | 16.5472 | − | 18.4084i | 0.651545 | − | 0.724830i | ||||
\(646\) | −53.2559 | + | 39.5134i | −2.09533 | + | 1.55463i | ||||
\(647\) | 20.0056 | − | 32.1249i | 0.786502 | − | 1.26296i | −0.174016 | − | 0.984743i | \(-0.555675\pi\) |
0.960518 | − | 0.278218i | \(-0.0897438\pi\) | |||||||
\(648\) | 12.5193 | − | 2.37844i | 0.491805 | − | 0.0934340i | ||||
\(649\) | −2.32252 | + | 28.4846i | −0.0911669 | + | 1.11812i | ||||
\(650\) | 81.2568 | − | 4.07154i | 3.18715 | − | 0.159699i | ||||
\(651\) | −15.4293 | + | 7.70417i | −0.604723 | + | 0.301950i | ||||
\(652\) | 1.42385 | − | 2.22389i | 0.0557623 | − | 0.0870944i | ||||
\(653\) | 29.7886 | − | 13.9537i | 1.16572 | − | 0.546052i | 0.258210 | − | 0.966089i | \(-0.416867\pi\) |
0.907507 | + | 0.420037i | \(0.137983\pi\) | |||||||
\(654\) | 45.3871 | + | 68.9730i | 1.77478 | + | 2.69706i | ||||
\(655\) | 9.46467 | + | 7.58944i | 0.369815 | + | 0.296544i | ||||
\(656\) | 6.53494 | − | 9.40925i | 0.255147 | − | 0.367369i | ||||
\(657\) | −3.64001 | + | 2.84470i | −0.142010 | + | 0.110982i | ||||
\(658\) | −11.0692 | + | 4.52426i | −0.431522 | + | 0.176374i | ||||
\(659\) | −26.2172 | − | 23.8648i | −1.02128 | − | 0.929641i | −0.0237358 | − | 0.999718i | \(-0.507556\pi\) |
−0.997542 | + | 0.0700768i | \(0.977676\pi\) | |||||||
\(660\) | 12.3539 | − | 25.9493i | 0.480877 | − | 1.01008i | ||||
\(661\) | 12.1479 | − | 11.0579i | 0.472498 | − | 0.430102i | −0.401627 | − | 0.915803i | \(-0.631555\pi\) |
0.874125 | + | 0.485701i | \(0.161436\pi\) | |||||||
\(662\) | 6.23619 | + | 20.5870i | 0.242377 | + | 0.800135i | ||||
\(663\) | 70.0009 | − | 45.4384i | 2.71861 | − | 1.76468i | ||||
\(664\) | 11.5376 | + | 8.12061i | 0.447745 | + | 0.315141i | ||||
\(665\) | 21.5980 | + | 51.9123i | 0.837534 | + | 2.01307i | ||||
\(666\) | 49.8438 | + | 18.9307i | 1.93141 | + | 0.733550i | ||||
\(667\) | 14.5940 | + | 6.17922i | 0.565081 | + | 0.239260i | ||||
\(668\) | 21.0755 | + | 5.10862i | 0.815434 | + | 0.197658i | ||||
\(669\) | −13.0477 | + | 30.2866i | −0.504453 | + | 1.17095i | ||||
\(670\) | −0.231984 | + | 7.41140i | −0.00896233 | + | 0.286327i | ||||
\(671\) | −7.26999 | − | 6.29225i | −0.280655 | − | 0.242909i | ||||
\(672\) | 31.6850 | − | 24.1295i | 1.22227 | − | 0.930815i | ||||
\(673\) | 32.5732 | − | 18.8968i | 1.25560 | − | 0.728419i | 0.282606 | − | 0.959236i | \(-0.408801\pi\) |
0.972997 | + | 0.230817i | \(0.0741399\pi\) | |||||||
\(674\) | −12.1088 | + | 3.42118i | −0.466415 | + | 0.131779i | ||||
\(675\) | −65.9766 | − | 26.9663i | −2.53944 | − | 1.03793i | ||||
\(676\) | 13.1849 | + | 27.6947i | 0.507112 | + | 1.06518i | ||||
\(677\) | −11.3102 | + | 37.3374i | −0.434687 | + | 1.43499i | 0.416022 | + | 0.909355i | \(0.363424\pi\) |
−0.850709 | + | 0.525637i | \(0.823827\pi\) | |||||||
\(678\) | 4.44411 | + | 15.3613i | 0.170675 | + | 0.589947i | ||||
\(679\) | 9.41834 | + | 0.946227i | 0.361443 | + | 0.0363129i | ||||
\(680\) | 6.14982 | + | 18.6097i | 0.235835 | + | 0.713648i | ||||
\(681\) | −7.56540 | + | 10.3311i | −0.289907 | + | 0.395888i | ||||
\(682\) | 4.91514 | − | 9.11822i | 0.188210 | − | 0.349155i | ||||
\(683\) | 1.99991 | − | 45.6235i | 0.0765244 | − | 1.74573i | −0.447727 | − | 0.894170i | \(-0.647766\pi\) |
0.524251 | − | 0.851564i | \(-0.324345\pi\) | |||||||
\(684\) | 4.48147 | + | 64.9972i | 0.171353 | + | 2.48523i | ||||
\(685\) | −33.4135 | + | 26.7933i | −1.27666 | + | 1.02372i | ||||
\(686\) | −34.8362 | − | 11.2708i | −1.33005 | − | 0.430320i | ||||
\(687\) | 12.7334 | + | 64.8096i | 0.485809 | + | 2.47264i | ||||
\(688\) | −6.34490 | + | 9.38416i | −0.241897 | + | 0.357768i | ||||
\(689\) | −6.40581 | + | 68.0391i | −0.244042 | + | 2.59208i | ||||
\(690\) | −144.809 | − | 21.9148i | −5.51280 | − | 0.834282i | ||||
\(691\) | 7.15293 | − | 41.9289i | 0.272110 | − | 1.59505i | −0.443319 | − | 0.896364i | \(-0.646199\pi\) |
0.715429 | − | 0.698685i | \(-0.246231\pi\) | |||||||
\(692\) | −24.5347 | + | 5.94713i | −0.932670 | + | 0.226076i | ||||
\(693\) | −24.7419 | − | 4.06171i | −0.939866 | − | 0.154292i | ||||
\(694\) | −2.95858 | + | 52.4729i | −0.112306 | + | 1.99184i | ||||
\(695\) | 6.06298 | + | 64.3977i | 0.229982 | + | 2.44274i | ||||
\(696\) | −6.77706 | − | 3.70806i | −0.256884 | − | 0.140554i | ||||
\(697\) | −6.58724 | + | 8.53847i | −0.249510 | + | 0.323418i | ||||
\(698\) | −21.2175 | − | 4.86273i | −0.803096 | − | 0.184057i | ||||
\(699\) | −24.4635 | + | 20.6436i | −0.925296 | + | 0.780812i | ||||
\(700\) | −20.0391 | + | 1.50773i | −0.757407 | + | 0.0569868i | ||||
\(701\) | −27.2811 | + | 31.1245i | −1.03039 | + | 1.17555i | −0.0461121 | + | 0.998936i | \(0.514683\pi\) |
−0.984279 | + | 0.176618i | \(0.943484\pi\) | |||||||
\(702\) | −0.657387 | − | 105.044i | −0.0248115 | − | 3.96461i | ||||
\(703\) | 17.3026 | − | 33.0835i | 0.652582 | − | 1.24777i | ||||
\(704\) | −1.28821 | + | 4.06842i | −0.0485513 | + | 0.153334i | ||||
\(705\) | −30.1198 | − | 16.9733i | −1.13438 | − | 0.639250i | ||||
\(706\) | 6.20639 | + | 3.00252i | 0.233581 | + | 0.113001i | ||||
\(707\) | −0.878946 | − | 20.0512i | −0.0330562 | − | 0.754103i | ||||
\(708\) | 57.2142 | − | 6.47239i | 2.15024 | − | 0.243247i | ||||
\(709\) | −30.8525 | − | 25.3807i | −1.15869 | − | 0.953191i | −0.159271 | − | 0.987235i | \(-0.550914\pi\) |
−0.999420 | + | 0.0340442i | \(0.989161\pi\) | |||||||
\(710\) | 60.2359 | + | 27.3020i | 2.26061 | + | 1.02463i | ||||
\(711\) | 1.04524 | + | 0.0918127i | 0.0391995 | + | 0.00344325i | ||||
\(712\) | 7.91354 | + | 8.80364i | 0.296573 | + | 0.329930i | ||||
\(713\) | −20.7402 | − | 4.20987i | −0.776726 | − | 0.157661i | ||||
\(714\) | −42.4131 | + | 29.0651i | −1.58727 | + | 1.08773i | ||||
\(715\) | 34.4469 | + | 24.8956i | 1.28824 | + | 0.931043i | ||||
\(716\) | −1.14416 | − | 0.965500i | −0.0427593 | − | 0.0360824i | ||||
\(717\) | −20.8003 | − | 27.6710i | −0.776803 | − | 1.03339i | ||||
\(718\) | −40.6163 | + | 5.11037i | −1.51579 | + | 0.190717i | ||||
\(719\) | −3.46841 | − | 2.01215i | −0.129350 | − | 0.0750404i | 0.435726 | − | 0.900079i | \(-0.356492\pi\) |
−0.565076 | + | 0.825039i | \(0.691153\pi\) | |||||||
\(720\) | 102.931 | + | 26.3184i | 3.83602 | + | 0.980828i | ||||
\(721\) | −3.10613 | + | 23.4987i | −0.115678 | + | 0.875136i | ||||
\(722\) | 78.9788 | + | 3.95740i | 2.93929 | + | 0.147279i | ||||
\(723\) | 10.9045 | − | 4.77887i | 0.405543 | − | 0.177728i | ||||
\(724\) | 30.8470 | + | 4.27404i | 1.14642 | + | 0.158843i | ||||
\(725\) | 7.44097 | + | 13.8040i | 0.276351 | + | 0.512666i | ||||
\(726\) | −34.6318 | + | 16.7542i | −1.28531 | + | 0.621805i | ||||
\(727\) | 1.73572 | + | 0.108766i | 0.0643744 | + | 0.00403392i | 0.0946954 | − | 0.995506i | \(-0.469812\pi\) |
−0.0303209 | + | 0.999540i | \(0.509653\pi\) | |||||||
\(728\) | 6.62183 | + | 13.0566i | 0.245421 | + | 0.483910i | ||||
\(729\) | 9.25524 | − | 20.0844i | 0.342786 | − | 0.743867i | ||||
\(730\) | −4.70270 | + | 1.07778i | −0.174055 | + | 0.0398906i | ||||
\(731\) | 6.40739 | − | 8.52384i | 0.236986 | − | 0.315266i | ||||
\(732\) | −9.61556 | + | 16.8163i | −0.355401 | + | 0.621547i | ||||
\(733\) | 2.05314 | + | 2.40240i | 0.0758346 | + | 0.0887347i | 0.796824 | − | 0.604211i | \(-0.206512\pi\) |
−0.720990 | + | 0.692946i | \(0.756312\pi\) | |||||||
\(734\) | −17.3004 | − | 20.7640i | −0.638568 | − | 0.766412i | ||||
\(735\) | −10.8710 | − | 29.1717i | −0.400983 | − | 1.07601i | ||||
\(736\) | 48.8693 | + | 0.611696i | 1.80135 | + | 0.0225474i | ||||
\(737\) | −1.50429 | + | 1.76018i | −0.0554112 | + | 0.0648371i | ||||
\(738\) | 8.91772 | + | 24.8773i | 0.328266 | + | 0.915748i | ||||
\(739\) | 4.34889 | + | 2.98023i | 0.159976 | + | 0.109630i | 0.642613 | − | 0.766191i | \(-0.277851\pi\) |
−0.482636 | + | 0.875821i | \(0.660321\pi\) | |||||||
\(740\) | 15.5364 | + | 16.0303i | 0.571130 | + | 0.589287i | ||||
\(741\) | −142.301 | − | 16.0978i | −5.22754 | − | 0.591369i | ||||
\(742\) | 2.89613 | − | 42.0042i | 0.106320 | − | 1.54202i | ||||
\(743\) | −10.6586 | − | 15.3466i | −0.391026 | − | 0.563014i | 0.576078 | − | 0.817395i | \(-0.304582\pi\) |
−0.967104 | + | 0.254381i | \(0.918128\pi\) | |||||||
\(744\) | 9.85394 | + | 3.05241i | 0.361263 | + | 0.111907i | ||||
\(745\) | −16.1419 | − | 4.34326i | −0.591393 | − | 0.159125i | ||||
\(746\) | 29.1787 | − | 13.2253i | 1.06831 | − | 0.484211i | ||||
\(747\) | −67.9223 | + | 23.8693i | −2.48515 | + | 0.873333i | ||||
\(748\) | 4.32356 | − | 11.6020i | 0.158085 | − | 0.424211i | ||||
\(749\) | 1.98754 | − | 5.13604i | 0.0726231 | − | 0.187667i | ||||
\(750\) | −32.1225 | − | 34.8482i | −1.17295 | − | 1.27248i | ||||
\(751\) | −18.1619 | − | 29.1643i | −0.662738 | − | 1.06422i | −0.992745 | − | 0.120243i | \(-0.961633\pi\) |
0.330007 | − | 0.943979i | \(-0.392949\pi\) | |||||||
\(752\) | 14.7199 | + | 5.80245i | 0.536779 | + | 0.211594i | ||||
\(753\) | −0.617742 | − | 19.7356i | −0.0225118 | − | 0.719204i | ||||
\(754\) | −14.5710 | + | 17.9401i | −0.530646 | + | 0.653340i | ||||
\(755\) | 4.38482 | − | 5.39867i | 0.159580 | − | 0.196478i | ||||
\(756\) | 0.811751 | + | 25.9337i | 0.0295231 | + | 0.943200i | ||||
\(757\) | 23.2394 | + | 9.16078i | 0.844650 | + | 0.332954i | 0.749089 | − | 0.662469i | \(-0.230492\pi\) |
0.0955613 | + | 0.995424i | \(0.469535\pi\) | |||||||
\(758\) | −8.66443 | − | 13.9133i | −0.314706 | − | 0.505354i | ||||
\(759\) | −30.9962 | − | 33.6264i | −1.12509 | − | 1.22056i | ||||
\(760\) | 12.1379 | − | 31.3658i | 0.440288 | − | 1.13776i | ||||
\(761\) | −1.85758 | + | 4.98470i | −0.0673373 | + | 0.180695i | −0.966352 | − | 0.257223i | \(-0.917192\pi\) |
0.899015 | + | 0.437918i | \(0.144284\pi\) | |||||||
\(762\) | 30.1139 | − | 10.5826i | 1.09091 | − | 0.383369i | ||||
\(763\) | 27.4695 | − | 12.4506i | 0.994462 | − | 0.450741i | ||||
\(764\) | 12.8861 | + | 3.46722i | 0.466201 | + | 0.125440i | ||||
\(765\) | −95.5333 | − | 29.5929i | −3.45401 | − | 1.06993i | ||||
\(766\) | 18.8315 | + | 27.1142i | 0.680408 | + | 0.979677i | ||||
\(767\) | −5.85705 | + | 84.9480i | −0.211486 | + | 3.06729i | ||||
\(768\) | −63.0189 | − | 7.12905i | −2.27400 | − | 0.257248i | ||||
\(769\) | −27.8175 | − | 28.7018i | −1.00312 | − | 1.03501i | −0.999387 | − | 0.0350219i | \(-0.988850\pi\) |
−0.00373825 | − | 0.999993i | \(-0.501190\pi\) | |||||||
\(770\) | −21.5998 | − | 14.8021i | −0.778404 | − | 0.533430i | ||||
\(771\) | −9.17809 | − | 25.6037i | −0.330541 | − | 0.922094i | ||||
\(772\) | 18.2015 | − | 21.2977i | 0.655086 | − | 0.766522i | ||||
\(773\) | 1.19313 | + | 0.0149343i | 0.0429138 | + | 0.000537151i | 0.0339700 | − | 0.999423i | \(-0.489185\pi\) |
0.00894382 | + | 0.999960i | \(0.497153\pi\) | |||||||
\(774\) | −9.12518 | − | 24.4868i | −0.327998 | − | 0.880160i | ||||
\(775\) | −13.4046 | − | 16.0883i | −0.481508 | − | 0.577908i | ||||
\(776\) | −3.67859 | − | 4.30435i | −0.132054 | − | 0.154517i | ||||
\(777\) | 14.3691 | − | 25.1296i | 0.515490 | − | 0.901520i | ||||
\(778\) | 13.2948 | − | 17.6862i | 0.476641 | − | 0.634083i | ||||
\(779\) | 18.0378 | − | 4.13397i | 0.646270 | − | 0.148115i | ||||
\(780\) | 35.8372 | − | 77.7689i | 1.28318 | − | 2.78457i | ||||
\(781\) | 9.34083 | + | 18.4178i | 0.334241 | + | 0.659041i | ||||
\(782\) | −62.9719 | − | 3.94603i | −2.25187 | − | 0.141110i | ||||
\(783\) | 18.2265 | − | 8.81760i | 0.651362 | − | 0.315115i | ||||
\(784\) | 6.76028 | + | 12.5412i | 0.241439 | + | 0.447900i | ||||
\(785\) | −49.1234 | − | 6.80633i | −1.75329 | − | 0.242928i | ||||
\(786\) | 17.4363 | − | 7.64141i | 0.621931 | − | 0.272560i | ||||
\(787\) | −17.4229 | − | 0.873013i | −0.621061 | − | 0.0311196i | −0.262967 | − | 0.964805i | \(-0.584701\pi\) |
−0.358094 | + | 0.933685i | \(0.616573\pi\) | |||||||
\(788\) | −4.32223 | + | 32.6988i | −0.153973 | + | 1.16485i | ||||
\(789\) | 17.8011 | + | 4.55155i | 0.633736 | + | 0.162039i | ||||
\(790\) | 0.947843 | + | 0.549877i | 0.0337227 | + | 0.0195637i | ||||
\(791\) | 5.79547 | − | 0.729190i | 0.206063 | − | 0.0259270i | ||||
\(792\) | 9.01178 | + | 11.9885i | 0.320220 | + | 0.425993i | ||||
\(793\) | −21.8934 | − | 18.4748i | −0.777458 | − | 0.656058i | ||||
\(794\) | −20.0852 | − | 14.5161i | −0.712798 | − | 0.515157i | ||||
\(795\) | 100.414 | − | 68.8125i | 3.56133 | − | 2.44053i | ||||
\(796\) | 7.66695 | + | 1.55625i | 0.271748 | + | 0.0551598i | ||||
\(797\) | 0.160889 | + | 0.178986i | 0.00569899 | + | 0.00634000i | 0.746546 | − | 0.665334i | \(-0.231711\pi\) |
−0.740847 | + | 0.671674i | \(0.765575\pi\) | |||||||
\(798\) | 87.8915 | + | 7.72030i | 3.11133 | + | 0.273296i | ||||
\(799\) | −13.5659 | − | 6.14876i | −0.479927 | − | 0.217527i | ||||
\(800\) | 37.3466 | + | 30.7229i | 1.32040 | + | 1.08622i | ||||
\(801\) | −60.0216 | + | 6.78998i | −2.12076 | + | 0.239912i | ||||
\(802\) | −2.68204 | − | 61.1848i | −0.0947063 | − | 2.16051i | ||||
\(803\) | −1.35617 | − | 0.656085i | −0.0478581 | − | 0.0231527i | ||||
\(804\) | 4.06404 | + | 2.29019i | 0.143328 | + | 0.0807689i | ||||
\(805\) | −16.1490 | + | 51.0016i | −0.569178 | + | 1.79757i | ||||
\(806\) | 14.3032 | − | 27.3483i | 0.503807 | − | 0.963303i | ||||
\(807\) | 0.429206 | + | 68.5826i | 0.0151088 | + | 2.41422i | ||||
\(808\) | −7.91341 | + | 9.02826i | −0.278393 | + | 0.317613i | ||||
\(809\) | −7.52334 | + | 0.566051i | −0.264507 | + | 0.0199013i | −0.206618 | − | 0.978422i | \(-0.566246\pi\) |
−0.0578889 | + | 0.998323i | \(0.518437\pi\) | |||||||
\(810\) | −51.9001 | + | 43.7959i | −1.82358 | + | 1.53883i | ||||
\(811\) | −9.12315 | − | 2.09088i | −0.320357 | − | 0.0734208i | 0.0601770 | − | 0.998188i | \(-0.480833\pi\) |
−0.380534 | + | 0.924767i | \(0.624260\pi\) | |||||||
\(812\) | 3.48703 | − | 4.51993i | 0.122371 | − | 0.158618i | ||||
\(813\) | 9.36958 | + | 5.12656i | 0.328605 | + | 0.179796i | ||||
\(814\) | 1.62979 | + | 17.3107i | 0.0571240 | + | 0.606740i | ||||
\(815\) | 0.391572 | − | 6.94485i | 0.0137162 | − | 0.243267i | ||||
\(816\) | 67.1326 | + | 11.0207i | 2.35011 | + | 0.385802i | ||||
\(817\) | −17.7835 | + | 4.31065i | −0.622165 | + | 0.150811i | ||||
\(818\) | 0.815284 | − | 4.77901i | 0.0285057 | − | 0.167094i | ||||
\(819\) | −73.8625 | − | 11.1780i | −2.58096 | − | 0.390591i | ||||
\(820\) | −1.03717 | + | 11.0163i | −0.0362196 | + | 0.384705i | ||||
\(821\) | −22.1982 | + | 32.8314i | −0.774724 | + | 1.14582i | 0.211006 | + | 0.977485i | \(0.432326\pi\) |
−0.985729 | + | 0.168338i | \(0.946160\pi\) | |||||||
\(822\) | 12.9569 | + | 65.9470i | 0.451922 | + | 2.30017i | ||||
\(823\) | 24.7574 | + | 8.00991i | 0.862987 | + | 0.279208i | 0.705843 | − | 0.708368i | \(-0.250568\pi\) |
0.157144 | + | 0.987576i | \(0.449771\pi\) | |||||||
\(824\) | 11.0614 | − | 8.86978i | 0.385341 | − | 0.308994i | ||||
\(825\) | −3.11270 | − | 45.1453i | −0.108370 | − | 1.57176i | ||||
\(826\) | 2.29740 | − | 52.4100i | 0.0799367 | − | 1.82358i | ||||
\(827\) | 1.62332 | − | 3.01147i | 0.0564484 | − | 0.104719i | −0.850474 | − | 0.526018i | \(-0.823685\pi\) |
0.906922 | + | 0.421299i | \(0.138426\pi\) | |||||||
\(828\) | −36.6246 | + | 50.0135i | −1.27279 | + | 1.73809i | ||||
\(829\) | 1.24797 | + | 3.77641i | 0.0433437 | + | 0.131160i | 0.968902 | − | 0.247445i | \(-0.0795910\pi\) |
−0.925558 | + | 0.378605i | \(0.876404\pi\) | |||||||
\(830\) | −74.8105 | − | 7.51595i | −2.59671 | − | 0.260882i | ||||
\(831\) | −5.72422 | − | 19.7861i | −0.198571 | − | 0.686371i | ||||
\(832\) | −3.68613 | + | 12.1687i | −0.127794 | + | 0.421873i | ||||
\(833\) | −5.76503 | − | 12.1094i | −0.199746 | − | 0.419565i | ||||
\(834\) | 93.9550 | + | 38.4018i | 3.25339 | + | 1.32974i | ||||
\(835\) | 54.9717 | − | 15.5315i | 1.90237 | − | 0.537489i | ||||
\(836\) | −18.3777 | + | 10.6615i | −0.635606 | + | 0.368737i | ||||
\(837\) | −21.5102 | + | 16.3810i | −0.743502 | + | 0.566209i | ||||
\(838\) | −15.8242 | − | 13.6960i | −0.546639 | − | 0.473121i | ||||
\(839\) | −0.638607 | + | 20.4021i | −0.0220472 | + | 0.704360i | 0.924386 | + | 0.381459i | \(0.124578\pi\) |
−0.946433 | + | 0.322901i | \(0.895342\pi\) | |||||||
\(840\) | 10.3175 | − | 23.9491i | 0.355987 | − | 0.826323i | ||||
\(841\) | 23.8544 | + | 5.78223i | 0.822566 | + | 0.199387i | ||||
\(842\) | 45.8333 | + | 19.4062i | 1.57952 | + | 0.668783i | ||||
\(843\) | 36.1177 | + | 13.7175i | 1.24396 | + | 0.472456i | ||||
\(844\) | −11.7491 | − | 28.2397i | −0.404420 | − | 0.972051i | ||||
\(845\) | 66.0726 | + | 46.5046i | 2.27297 | + | 1.59981i | ||||
\(846\) | −30.6155 | + | 19.8728i | −1.05258 | + | 0.683242i | ||||
\(847\) | 4.07401 | + | 13.4491i | 0.139985 | + | 0.462118i | ||||
\(848\) | −41.1974 | + | 37.5009i | −1.41472 | + | 1.28779i | ||||
\(849\) | −11.6670 | + | 24.5064i | −0.400410 | + | 0.841057i | ||||
\(850\) | −46.1692 | − | 42.0265i | −1.58359 | − | 1.44150i | ||||
\(851\) | 32.8824 | − | 13.4399i | 1.12720 | − | 0.460713i | ||||
\(852\) | 32.7826 | − | 25.6199i | 1.12311 | − | 0.877725i | ||||
\(853\) | 25.3059 | − | 36.4363i | 0.866457 | − | 1.24756i | −0.101093 | − | 0.994877i | \(-0.532234\pi\) |
0.967550 | − | 0.252680i | \(-0.0813118\pi\) | |||||||
\(854\) | 13.7691 | + | 11.0410i | 0.471169 | + | 0.377817i | ||||
\(855\) | 94.3394 | + | 143.364i | 3.22634 | + | 4.90293i | ||||
\(856\) | −2.98316 | + | 1.39739i | −0.101962 | + | 0.0477617i | ||||
\(857\) | 1.82479 | − | 2.85012i | 0.0623337 | − | 0.0973581i | −0.809600 | − | 0.586982i | \(-0.800316\pi\) |
0.871934 | + | 0.489624i | \(0.162866\pi\) | |||||||
\(858\) | 59.6687 | − | 29.7938i | 2.03706 | − | 1.01714i | ||||
\(859\) | 3.07427 | − | 0.154043i | 0.104893 | − | 0.00525587i | 0.00247112 | − | 0.999997i | \(-0.499213\pi\) |
0.102422 | + | 0.994741i | \(0.467341\pi\) | |||||||
\(860\) | 0.889155 | − | 10.9051i | 0.0303199 | − | 0.371859i | ||||
\(861\) | 14.0961 | − | 2.67800i | 0.480393 | − | 0.0912660i | ||||
\(862\) | −2.43303 | + | 3.90694i | −0.0828692 | + | 0.133071i | ||||
\(863\) | 34.4229 | − | 25.5402i | 1.17177 | − | 0.869399i | 0.178354 | − | 0.983966i | \(-0.442923\pi\) |
0.993415 | + | 0.114568i | \(0.0365483\pi\) | |||||||
\(864\) | 41.7412 | − | 46.4362i | 1.42007 | − | 1.57979i | ||||
\(865\) | −48.6127 | + | 45.3764i | −1.65288 | + | 1.54284i | ||||
\(866\) | 1.57380 | − | 6.67483i | 0.0534798 | − | 0.226820i | ||||
\(867\) | −12.2836 | − | 2.65383i | −0.417172 | − | 0.0901290i | ||||
\(868\) | −3.36272 | + | 6.84139i | −0.114138 | + | 0.232212i | ||||
\(869\) | 0.123489 | + | 0.319112i | 0.00418909 | + | 0.0108251i | ||||
\(870\) | 41.1647 | − | 0.515257i | 1.39562 | − | 0.0174689i | ||||
\(871\) | −4.41594 | + | 5.30003i | −0.149628 | + | 0.179585i | ||||
\(872\) | −17.0200 | − | 5.98118i | −0.576369 | − | 0.202548i | ||||
\(873\) | 28.7816 | − | 2.52815i | 0.974109 | − | 0.0855648i | ||||
\(874\) | 79.1484 | + | 73.8791i | 2.67723 | + | 2.49900i | ||||
\(875\) | −14.4019 | + | 9.60675i | −0.486873 | + | 0.324768i | ||||
\(876\) | −0.770279 | + | 2.93588i | −0.0260253 | + | 0.0991942i | ||||
\(877\) | −17.8514 | − | 30.3322i | −0.602800 | − | 1.02425i | −0.994559 | − | 0.104179i | \(-0.966779\pi\) |
0.391759 | − | 0.920068i | \(-0.371867\pi\) | |||||||
\(878\) | 29.8397 | − | 1.86986i | 1.00704 | − | 0.0631046i | ||||
\(879\) | −14.2635 | + | 8.03784i | −0.481095 | + | 0.271110i | ||||
\(880\) | 7.10439 | + | 33.9102i | 0.239489 | + | 1.14311i | ||||
\(881\) | 9.66554 | + | 7.36073i | 0.325640 | + | 0.247989i | 0.755857 | − | 0.654736i | \(-0.227220\pi\) |
−0.430217 | + | 0.902726i | \(0.641563\pi\) | |||||||
\(882\) | −32.6093 | − | 4.10293i | −1.09801 | − | 0.138153i | ||||
\(883\) | 16.7983 | + | 29.3779i | 0.565308 | + | 0.988646i | 0.996271 | + | 0.0862761i | \(0.0274967\pi\) |
−0.430963 | + | 0.902370i | \(0.641826\pi\) | |||||||
\(884\) | 12.4481 | − | 34.7259i | 0.418675 | − | 1.16796i | ||||
\(885\) | 122.928 | − | 88.8432i | 4.13218 | − | 2.98643i | ||||
\(886\) | 23.7465 | + | 1.78667i | 0.797780 | + | 0.0600244i | ||||
\(887\) | 25.4528 | − | 24.9794i | 0.854622 | − | 0.838726i | −0.133713 | − | 0.991020i | \(-0.542690\pi\) |
0.988335 | + | 0.152294i | \(0.0486662\pi\) | |||||||
\(888\) | −16.6030 | + | 4.91615i | −0.557161 | + | 0.164975i | ||||
\(889\) | −2.10440 | − | 11.4677i | −0.0705792 | − | 0.384616i | ||||
\(890\) | −59.7724 | − | 20.1684i | −2.00357 | − | 0.676046i | ||||
\(891\) | −21.1987 | + | 0.530770i | −0.710184 | + | 0.0177815i | ||||
\(892\) | 3.52257 | + | 14.1450i | 0.117944 | + | 0.473610i | ||||
\(893\) | 11.2743 | + | 22.9374i | 0.377281 | + | 0.767571i | ||||
\(894\) | −17.7783 | + | 19.2869i | −0.594597 | + | 0.645051i | ||||
\(895\) | −3.87428 | − | 0.736043i | −0.129503 | − | 0.0246032i | ||||
\(896\) | −4.91131 | + | 17.8082i | −0.164075 | + | 0.594929i | ||||
\(897\) | −93.5979 | − | 99.0238i | −3.12514 | − | 3.30631i | ||||
\(898\) | −19.6283 | + | 7.45486i | −0.655006 | + | 0.248772i | ||||
\(899\) | 5.94455 | + | 0.223316i | 0.198262 | + | 0.00744802i | ||||
\(900\) | −59.2318 | + | 15.9373i | −1.97439 | + | 0.531244i | ||||
\(901\) | 40.4993 | − | 33.3166i | 1.34923 | − | 1.10994i | ||||
\(902\) | −5.99788 | + | 6.18855i | −0.199707 | + | 0.206056i | ||||
\(903\) | −13.9042 | + | 2.82230i | −0.462702 | + | 0.0939201i | ||||
\(904\) | −2.80599 | − | 2.08192i | −0.0933259 | − | 0.0692435i | ||||
\(905\) | 76.3167 | − | 30.0834i | 2.53685 | − | 1.00001i | ||||
\(906\) | −4.31811 | − | 10.0233i | −0.143459 | − | 0.333001i | ||||
\(907\) | −8.47176 | − | 49.6596i | −0.281300 | − | 1.64892i | −0.681008 | − | 0.732276i | \(-0.738458\pi\) |
0.399707 | − | 0.916643i | \(-0.369112\pi\) | |||||||
\(908\) | 0.106260 | + | 5.65916i | 0.00352636 | + | 0.187806i | ||||
\(909\) | −14.0587 | − | 59.6262i | −0.466298 | − | 1.97768i | ||||
\(910\) | −64.9022 | − | 43.2929i | −2.15149 | − | 1.43514i | ||||
\(911\) | −30.1060 | + | 26.7234i | −0.997456 | + | 0.885384i | −0.993411 | − | 0.114608i | \(-0.963439\pi\) |
−0.00404483 | + | 0.999992i | \(0.501288\pi\) | |||||||
\(912\) | −76.9495 | − | 87.7903i | −2.54805 | − | 2.90703i | ||||
\(913\) | −16.7564 | − | 16.4448i | −0.554558 | − | 0.544243i | ||||
\(914\) | −27.6891 | − | 14.7028i | −0.915876 | − | 0.486326i | ||||
\(915\) | −0.319332 | + | 51.0258i | −0.0105568 | + | 1.68686i | ||||
\(916\) | 21.8344 | + | 19.3812i | 0.721430 | + | 0.640372i | ||||
\(917\) | −1.76472 | − | 6.72612i | −0.0582760 | − | 0.222116i | ||||
\(918\) | −56.8207 | + | 57.1774i | −1.87536 | + | 1.88713i | ||||
\(919\) | 1.11069 | + | 1.64272i | 0.0366382 | + | 0.0541883i | 0.846291 | − | 0.532721i | \(-0.178831\pi\) |
−0.809653 | + | 0.586909i | \(0.800344\pi\) | |||||||
\(920\) | 28.0729 | − | 15.3601i | 0.925535 | − | 0.506406i | ||||
\(921\) | 4.14091 | − | 26.2510i | 0.136448 | − | 0.864999i | ||||
\(922\) | −46.9281 | + | 8.30834i | −1.54549 | + | 0.273621i | ||||
\(923\) | 28.5150 | + | 54.5220i | 0.938583 | + | 1.79462i | ||||
\(924\) | −14.5495 | + | 7.72570i | −0.478642 | + | 0.254157i | ||||
\(925\) | 33.7034 | + | 9.97958i | 1.10816 | + | 0.328126i | ||||
\(926\) | 3.14932 | − | 29.4903i | 0.103493 | − | 0.969112i | ||||
\(927\) | 4.07279 | + | 72.2344i | 0.133768 | + | 2.37249i | ||||
\(928\) | −13.5831 | + | 2.05560i | −0.445887 | + | 0.0674785i | ||||
\(929\) | 0.0895330 | − | 4.76831i | 0.00293748 | − | 0.156443i | −0.995290 | − | 0.0969374i | \(-0.969095\pi\) |
0.998228 | − | 0.0595058i | \(-0.0189525\pi\) | |||||||
\(930\) | −53.7343 | + | 11.6092i | −1.76202 | + | 0.380679i | ||||
\(931\) | −5.56144 | + | 22.3322i | −0.182269 | + | 0.731907i | ||||
\(932\) | −3.07446 | + | 13.8112i | −0.100707 | + | 0.452400i | ||||
\(933\) | −62.0833 | − | 59.4214i | −2.03251 | − | 1.94537i | ||||
\(934\) | 4.05961 | + | 11.7873i | 0.132835 | + | 0.385693i | ||||
\(935\) | −5.08188 | − | 32.2162i | −0.166195 | − | 1.05358i | ||||
\(936\) | 27.2950 | + | 35.3801i | 0.892163 | + | 1.15643i | ||||
\(937\) | −19.2303 | − | 41.7309i | −0.628226 | − | 1.36329i | −0.914283 | − | 0.405077i | \(-0.867245\pi\) |
0.286056 | − | 0.958213i | \(-0.407656\pi\) | |||||||
\(938\) | 2.63806 | − | 3.33240i | 0.0861357 | − | 0.108807i | ||||
\(939\) | 5.90793 | − | 3.62802i | 0.192798 | − | 0.118396i | ||||
\(940\) | −15.1376 | + | 2.09741i | −0.493735 | + | 0.0684100i | ||||
\(941\) | −9.39155 | − | 12.8248i | −0.306156 | − | 0.418077i | 0.626176 | − | 0.779682i | \(-0.284619\pi\) |
−0.932331 | + | 0.361605i | \(0.882229\pi\) | |||||||
\(942\) | −45.1887 | + | 63.3568i | −1.47233 | + | 2.06428i | ||||
\(943\) | 15.6531 | + | 8.06221i | 0.509734 | + | 0.262542i | ||||
\(944\) | −50.1452 | + | 47.9952i | −1.63209 | + | 1.56211i | ||||
\(945\) | 35.4006 | + | 58.4644i | 1.15158 | + | 1.90185i | ||||
\(946\) | 5.85374 | − | 6.19309i | 0.190322 | − | 0.201355i | ||||
\(947\) | 14.8215 | − | 35.6246i | 0.481635 | − | 1.15764i | −0.478495 | − | 0.878091i | \(-0.658817\pi\) |
0.960130 | − | 0.279554i | \(-0.0901866\pi\) | |||||||
\(948\) | 0.582896 | − | 0.368078i | 0.0189316 | − | 0.0119546i | ||||
\(949\) | −4.06476 | − | 1.90404i | −0.131948 | − | 0.0618077i | ||||
\(950\) | 15.3673 | + | 106.026i | 0.498582 | + | 3.43992i | ||||
\(951\) | 32.6661 | + | 45.7995i | 1.05927 | + | 1.48515i | ||||
\(952\) | 3.52500 | − | 10.6668i | 0.114246 | − | 0.345714i | ||||
\(953\) | −1.72957 | + | 3.88032i | −0.0560263 | + | 0.125696i | −0.939224 | − | 0.343305i | \(-0.888454\pi\) |
0.883198 | + | 0.469001i | \(0.155386\pi\) | |||||||
\(954\) | −15.2450 | − | 127.607i | −0.493575 | − | 4.13142i | ||||
\(955\) | 34.0555 | − | 8.70763i | 1.10201 | − | 0.281772i | ||||
\(956\) | −14.7253 | − | 4.16042i | −0.476249 | − | 0.134557i | ||||
\(957\) | 10.1288 | + | 7.91577i | 0.327418 | + | 0.255881i | ||||
\(958\) | −37.6741 | + | 11.6701i | −1.21719 | + | 0.377044i | ||||
\(959\) | 24.5319 | − | 0.921579i | 0.792176 | − | 0.0297593i | ||||
\(960\) | 20.8556 | − | 8.83043i | 0.673111 | − | 0.285001i | ||||
\(961\) | 22.7517 | − | 3.73500i | 0.733927 | − | 0.120484i | ||||
\(962\) | 5.50098 | + | 51.5113i | 0.177359 | + | 1.66079i | ||||
\(963\) | 3.03401 | − | 16.5336i | 0.0977696 | − | 0.532788i | ||||
\(964\) | 2.55491 | − | 4.60088i | 0.0822881 | − | 0.148184i | ||||
\(965\) | 14.2274 | − | 72.4135i | 0.457995 | − | 2.33107i | ||||
\(966\) | 59.1742 | + | 59.5457i | 1.90390 | + | 1.91585i | ||||
\(967\) | −20.4234 | + | 34.7024i | −0.656772 | + | 1.11595i | 0.328425 | + | 0.944530i | \(0.393482\pi\) |
−0.985197 | + | 0.171424i | \(0.945163\pi\) | |||||||
\(968\) | 3.80210 | − | 7.49680i | 0.122204 | − | 0.240956i | ||||
\(969\) | 68.2102 | + | 86.1632i | 2.19123 | + | 2.76796i | ||||
\(970\) | 28.3397 | + | 10.3594i | 0.909932 | + | 0.332622i | ||||
\(971\) | 24.4157 | + | 0.611316i | 0.783537 | + | 0.0196181i | 0.414796 | − | 0.909914i | \(-0.363853\pi\) |
0.368741 | + | 0.929532i | \(0.379789\pi\) | |||||||
\(972\) | 0.913602 | + | 4.10411i | 0.0293038 | + | 0.131639i | ||||
\(973\) | 19.2033 | − | 31.7144i | 0.615629 | − | 1.01672i | ||||
\(974\) | −15.1110 | − | 54.7916i | −0.484187 | − | 1.75564i | ||||
\(975\) | −10.9569 | − | 134.381i | −0.350900 | − | 4.30363i | ||||
\(976\) | −3.06016 | − | 23.1509i | −0.0979534 | − | 0.741043i | ||||
\(977\) | −4.53220 | + | 37.9364i | −0.144998 | + | 1.21369i | 0.713419 | + | 0.700738i | \(0.247146\pi\) |
−0.858416 | + | 0.512953i | \(0.828551\pi\) | |||||||
\(978\) | −9.37213 | − | 5.59504i | −0.299688 | − | 0.178910i | ||||
\(979\) | −10.6214 | − | 16.5894i | −0.339462 | − | 0.530201i | ||||
\(980\) | −11.6354 | − | 7.34731i | −0.371678 | − | 0.234701i | ||||
\(981\) | 75.2789 | − | 52.9844i | 2.40347 | − | 1.69166i | ||||
\(982\) | −8.50402 | + | 21.1838i | −0.271374 | + | 0.676002i | ||||
\(983\) | −2.51354 | + | 8.68819i | −0.0801696 | + | 0.277110i | −0.990647 | − | 0.136448i | \(-0.956431\pi\) |
0.910478 | + | 0.413558i | \(0.135714\pi\) | |||||||
\(984\) | −7.19897 | − | 4.67293i | −0.229495 | − | 0.148968i | ||||
\(985\) | 32.3675 | + | 80.6285i | 1.03132 | + | 2.56904i | ||||
\(986\) | 17.6467 | − | 1.77290i | 0.561984 | − | 0.0564605i | ||||
\(987\) | 8.06777 | + | 18.1002i | 0.256800 | + | 0.576135i | ||||
\(988\) | −54.3533 | + | 32.4482i | −1.72921 | + | 1.03231i | ||||
\(989\) | −15.5766 | − | 7.77769i | −0.495306 | − | 0.247316i | ||||
\(990\) | −73.2035 | − | 32.0813i | −2.32656 | − | 1.01961i | ||||
\(991\) | −29.4303 | − | 18.0729i | −0.934883 | − | 0.574105i | −0.0299002 | − | 0.999553i | \(-0.509519\pi\) |
−0.904983 | + | 0.425448i | \(0.860117\pi\) | |||||||
\(992\) | 17.2298 | − | 6.29828i | 0.547046 | − | 0.199971i | ||||
\(993\) | 33.7764 | − | 11.3968i | 1.07186 | − | 0.361668i | ||||
\(994\) | −18.4033 | − | 33.1405i | −0.583716 | − | 1.05115i | ||||
\(995\) | 19.6071 | − | 6.34361i | 0.621587 | − | 0.201106i | ||||
\(996\) | −26.0017 | + | 39.5137i | −0.823896 | + | 1.25204i | ||||
\(997\) | −4.79647 | + | 33.0928i | −0.151906 | + | 1.04806i | 0.763581 | + | 0.645712i | \(0.223439\pi\) |
−0.915487 | + | 0.402348i | \(0.868194\pi\) | |||||||
\(998\) | 10.8117 | − | 5.56862i | 0.342238 | − | 0.176272i | ||||
\(999\) | 14.7784 | − | 42.9098i | 0.467567 | − | 1.35761i |
(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 | 503.2.c.a.2.9 | ✓ | 10250 | |
503.252 | even | 251 | inner | 503.2.c.a.252.9 | yes | 10250 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
503.2.c.a.2.9 | ✓ | 10250 | 1.1 | even | 1 | trivial | |
503.2.c.a.252.9 | yes | 10250 | 503.252 | even | 251 | inner |