Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,3,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.48774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.9 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.3.l.a.43.9 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39308 | + | 1.43504i | −0.696540 | + | 0.717518i | ||||
\(3\) | 0.447688 | − | 0.367408i | 0.149229 | − | 0.122469i | −0.556816 | − | 0.830636i | \(-0.687977\pi\) |
0.706046 | + | 0.708166i | \(0.250477\pi\) | |||||||
\(4\) | −0.118660 | − | 3.99824i | −0.0296650 | − | 0.999560i | ||||
\(5\) | −2.47385 | − | 0.750435i | −0.494771 | − | 0.150087i | 0.0330316 | − | 0.999454i | \(-0.489484\pi\) |
−0.527802 | + | 0.849367i | \(0.676984\pi\) | |||||||
\(6\) | −0.0964209 | + | 1.15428i | −0.0160702 | + | 0.192380i | ||||
\(7\) | 0.987061 | + | 4.96229i | 0.141009 | + | 0.708899i | 0.985002 | + | 0.172545i | \(0.0551989\pi\) |
−0.843993 | + | 0.536354i | \(0.819801\pi\) | |||||||
\(8\) | 5.90292 | + | 5.39958i | 0.737865 | + | 0.674948i | ||||
\(9\) | −1.69038 | + | 8.49810i | −0.187820 | + | 0.944233i | ||||
\(10\) | 4.52318 | − | 2.50465i | 0.452318 | − | 0.250465i | ||||
\(11\) | 0.355541 | + | 3.60986i | 0.0323219 | + | 0.328169i | 0.997725 | + | 0.0674091i | \(0.0214733\pi\) |
−0.965404 | + | 0.260760i | \(0.916027\pi\) | |||||||
\(12\) | −1.52211 | − | 1.74637i | −0.126842 | − | 0.145531i | ||||
\(13\) | 6.50922 | + | 21.4580i | 0.500709 | + | 1.65062i | 0.734711 | + | 0.678380i | \(0.237318\pi\) |
−0.234002 | + | 0.972236i | \(0.575182\pi\) | |||||||
\(14\) | −8.49613 | − | 5.49640i | −0.606866 | − | 0.392600i | ||||
\(15\) | −1.38323 | + | 0.572953i | −0.0922154 | + | 0.0381969i | ||||
\(16\) | −15.9718 | + | 0.948863i | −0.998240 | + | 0.0593039i | ||||
\(17\) | 9.43380 | − | 22.7752i | 0.554929 | − | 1.33972i | −0.358808 | − | 0.933412i | \(-0.616817\pi\) |
0.913737 | − | 0.406306i | \(-0.133183\pi\) | |||||||
\(18\) | −9.84025 | − | 14.2643i | −0.546681 | − | 0.792460i | ||||
\(19\) | −13.6843 | + | 25.6016i | −0.720229 | + | 1.34745i | 0.208988 | + | 0.977918i | \(0.432983\pi\) |
−0.929217 | + | 0.369535i | \(0.879517\pi\) | |||||||
\(20\) | −2.70687 | + | 9.98011i | −0.135344 | + | 0.499005i | ||||
\(21\) | 2.26508 | + | 1.85891i | 0.107861 | + | 0.0885193i | ||||
\(22\) | −5.67558 | − | 4.51861i | −0.257981 | − | 0.205392i | ||||
\(23\) | −6.73776 | + | 4.50203i | −0.292946 | + | 0.195740i | −0.693355 | − | 0.720596i | \(-0.743868\pi\) |
0.400409 | + | 0.916337i | \(0.368868\pi\) | |||||||
\(24\) | 4.62652 | + | 0.248547i | 0.192772 | + | 0.0103561i | ||||
\(25\) | −15.2299 | − | 10.1763i | −0.609198 | − | 0.407053i | ||||
\(26\) | −39.8609 | − | 20.5517i | −1.53311 | − | 0.790452i | ||||
\(27\) | 4.82259 | + | 9.02243i | 0.178614 | + | 0.334164i | ||||
\(28\) | 19.7233 | − | 4.53533i | 0.704404 | − | 0.161976i | ||||
\(29\) | 0.212124 | − | 2.15373i | 0.00731461 | − | 0.0742665i | −0.990834 | − | 0.135082i | \(-0.956870\pi\) |
0.998149 | + | 0.0608157i | \(0.0193702\pi\) | |||||||
\(30\) | 1.10474 | − | 2.78316i | 0.0368247 | − | 0.0927719i | ||||
\(31\) | 36.6146 | + | 36.6146i | 1.18112 | + | 1.18112i | 0.979455 | + | 0.201663i | \(0.0646345\pi\) |
0.201663 | + | 0.979455i | \(0.435366\pi\) | |||||||
\(32\) | 20.8884 | − | 24.2420i | 0.652762 | − | 0.757563i | ||||
\(33\) | 1.48547 | + | 1.48547i | 0.0450141 | + | 0.0450141i | ||||
\(34\) | 19.5412 | + | 45.2655i | 0.574742 | + | 1.33134i | ||||
\(35\) | 1.28203 | − | 13.0167i | 0.0366295 | − | 0.371906i | ||||
\(36\) | 34.1780 | + | 5.75015i | 0.949389 | + | 0.159726i | ||||
\(37\) | −10.2620 | − | 19.1989i | −0.277352 | − | 0.518889i | 0.704220 | − | 0.709982i | \(-0.251297\pi\) |
−0.981572 | + | 0.191093i | \(0.938797\pi\) | |||||||
\(38\) | −17.6759 | − | 55.3026i | −0.465154 | − | 1.45533i | ||||
\(39\) | 10.7979 | + | 7.21496i | 0.276870 | + | 0.184999i | ||||
\(40\) | −10.5509 | − | 17.7875i | −0.263773 | − | 0.444689i | ||||
\(41\) | 63.1162 | − | 42.1729i | 1.53942 | − | 1.02861i | 0.559592 | − | 0.828768i | \(-0.310958\pi\) |
0.979829 | − | 0.199839i | \(-0.0640421\pi\) | |||||||
\(42\) | −5.82304 | + | 0.660874i | −0.138644 | + | 0.0157351i | ||||
\(43\) | −35.7546 | − | 29.3430i | −0.831501 | − | 0.682395i | 0.119076 | − | 0.992885i | \(-0.462007\pi\) |
−0.950577 | + | 0.310490i | \(0.899507\pi\) | |||||||
\(44\) | 14.3909 | − | 1.84988i | 0.327066 | − | 0.0420428i | ||||
\(45\) | 10.5590 | − | 19.7545i | 0.234645 | − | 0.438990i | ||||
\(46\) | 2.92566 | − | 15.9406i | 0.0636013 | − | 0.346535i | ||||
\(47\) | −15.2774 | + | 36.8829i | −0.325051 | + | 0.784743i | 0.673894 | + | 0.738828i | \(0.264620\pi\) |
−0.998945 | + | 0.0459151i | \(0.985380\pi\) | |||||||
\(48\) | −6.80178 | + | 6.29298i | −0.141704 | + | 0.131104i | ||||
\(49\) | 21.6200 | − | 8.95532i | 0.441225 | − | 0.182762i | ||||
\(50\) | 35.8199 | − | 7.67910i | 0.716398 | − | 0.153582i | ||||
\(51\) | −4.14440 | − | 13.6622i | −0.0812627 | − | 0.267887i | ||||
\(52\) | 85.0219 | − | 28.5716i | 1.63504 | − | 0.549454i | ||||
\(53\) | 1.07836 | + | 10.9488i | 0.0203464 | + | 0.206581i | 0.999983 | + | 0.00580265i | \(0.00184705\pi\) |
−0.979637 | + | 0.200778i | \(0.935653\pi\) | |||||||
\(54\) | −19.6658 | − | 5.64837i | −0.364181 | − | 0.104599i | ||||
\(55\) | 1.82941 | − | 9.19709i | 0.0332621 | − | 0.167220i | ||||
\(56\) | −20.9678 | + | 34.6217i | −0.374424 | + | 0.618245i | ||||
\(57\) | 3.27992 | + | 16.4893i | 0.0575425 | + | 0.289286i | ||||
\(58\) | 2.79517 | + | 3.30472i | 0.0481926 | + | 0.0569779i | ||||
\(59\) | −55.6877 | − | 16.8927i | −0.943859 | − | 0.286316i | −0.219400 | − | 0.975635i | \(-0.570410\pi\) |
−0.724458 | + | 0.689318i | \(0.757910\pi\) | |||||||
\(60\) | 2.45494 | + | 5.46250i | 0.0409156 | + | 0.0910417i | ||||
\(61\) | 12.5610 | − | 10.3085i | 0.205917 | − | 0.168992i | −0.525782 | − | 0.850619i | \(-0.676227\pi\) |
0.731700 | + | 0.681627i | \(0.238727\pi\) | |||||||
\(62\) | −103.550 | + | 1.53625i | −1.67017 | + | 0.0247783i | ||||
\(63\) | −43.8386 | −0.695850 | ||||||||
\(64\) | 5.68900 | + | 63.7466i | 0.0888906 | + | 0.996041i | ||||
\(65\) | − | 57.9687i | − | 0.891826i | ||||||
\(66\) | −4.20107 | + | 0.0623261i | −0.0636525 | + | 0.000944335i | ||||
\(67\) | 58.9442 | + | 71.8237i | 0.879764 | + | 1.07200i | 0.996884 | + | 0.0788776i | \(0.0251336\pi\) |
−0.117121 | + | 0.993118i | \(0.537366\pi\) | |||||||
\(68\) | −92.1801 | − | 35.0161i | −1.35559 | − | 0.514942i | ||||
\(69\) | −1.36233 | + | 4.49101i | −0.0197440 | + | 0.0650871i | ||||
\(70\) | 16.8935 | + | 19.9731i | 0.241335 | + | 0.285330i | ||||
\(71\) | 50.6193 | − | 10.0688i | 0.712948 | − | 0.141814i | 0.174726 | − | 0.984617i | \(-0.444096\pi\) |
0.538222 | + | 0.842803i | \(0.319096\pi\) | |||||||
\(72\) | −55.8644 | + | 41.0363i | −0.775894 | + | 0.569949i | ||||
\(73\) | −60.4009 | − | 12.0145i | −0.827409 | − | 0.164582i | −0.236819 | − | 0.971554i | \(-0.576105\pi\) |
−0.590590 | + | 0.806972i | \(0.701105\pi\) | |||||||
\(74\) | 41.8469 | + | 12.0192i | 0.565498 | + | 0.162422i | ||||
\(75\) | −10.5571 | + | 1.03979i | −0.140762 | + | 0.0138638i | ||||
\(76\) | 103.985 | + | 51.6754i | 1.36823 | + | 0.679940i | ||||
\(77\) | −17.5623 | + | 5.32745i | −0.228081 | + | 0.0691877i | ||||
\(78\) | −25.3961 | + | 5.44444i | −0.325591 | + | 0.0698005i | ||||
\(79\) | 6.16159 | + | 14.8754i | 0.0779948 | + | 0.188296i | 0.958067 | − | 0.286543i | \(-0.0925062\pi\) |
−0.880073 | + | 0.474839i | \(0.842506\pi\) | |||||||
\(80\) | 40.2241 | + | 9.63848i | 0.502801 | + | 0.120481i | ||||
\(81\) | −66.5714 | − | 27.5748i | −0.821869 | − | 0.340429i | ||||
\(82\) | −27.4062 | + | 149.324i | −0.334222 | + | 1.82103i | ||||
\(83\) | −90.7299 | − | 48.4961i | −1.09313 | − | 0.584291i | −0.176612 | − | 0.984281i | \(-0.556514\pi\) |
−0.916520 | + | 0.399990i | \(0.869014\pi\) | |||||||
\(84\) | 7.16357 | − | 9.27692i | 0.0852806 | − | 0.110440i | ||||
\(85\) | −40.4292 | + | 49.2631i | −0.475637 | + | 0.579565i | ||||
\(86\) | 91.9172 | − | 10.4320i | 1.06880 | − | 0.121302i | ||||
\(87\) | −0.696332 | − | 1.04213i | −0.00800381 | − | 0.0119786i | ||||
\(88\) | −17.3930 | + | 23.2285i | −0.197648 | + | 0.263960i | ||||
\(89\) | −4.77326 | + | 7.14369i | −0.0536321 | + | 0.0802662i | −0.857317 | − | 0.514790i | \(-0.827870\pi\) |
0.803684 | + | 0.595056i | \(0.202870\pi\) | |||||||
\(90\) | 13.6389 | + | 42.6722i | 0.151544 | + | 0.474136i | ||||
\(91\) | −100.056 | + | 53.4810i | −1.09952 | + | 0.587703i | ||||
\(92\) | 18.7997 | + | 26.4050i | 0.204344 | + | 0.287011i | ||||
\(93\) | 29.8445 | + | 2.93942i | 0.320908 | + | 0.0316067i | ||||
\(94\) | −31.6457 | − | 73.3045i | −0.336656 | − | 0.779835i | ||||
\(95\) | 53.0654 | − | 53.0654i | 0.558583 | − | 0.558583i | ||||
\(96\) | 0.444768 | − | 18.5274i | 0.00463300 | − | 0.192994i | ||||
\(97\) | 107.677 | − | 107.677i | 1.11007 | − | 1.11007i | 0.116931 | − | 0.993140i | \(-0.462694\pi\) |
0.993140 | − | 0.116931i | \(-0.0373057\pi\) | |||||||
\(98\) | −17.2672 | + | 43.5010i | −0.176196 | + | 0.443888i | ||||
\(99\) | −31.2780 | − | 3.08061i | −0.315939 | − | 0.0311173i | ||||
\(100\) | −38.8802 | + | 62.1005i | −0.388802 | + | 0.621005i | ||||
\(101\) | −63.6422 | + | 34.0175i | −0.630121 | + | 0.336807i | −0.755350 | − | 0.655321i | \(-0.772533\pi\) |
0.125229 | + | 0.992128i | \(0.460033\pi\) | |||||||
\(102\) | 25.3793 | + | 13.0852i | 0.248817 | + | 0.128287i | ||||
\(103\) | 35.3634 | − | 52.9250i | 0.343334 | − | 0.513835i | −0.619115 | − | 0.785301i | \(-0.712508\pi\) |
0.962448 | + | 0.271466i | \(0.0875084\pi\) | |||||||
\(104\) | −77.4409 | + | 161.812i | −0.744624 | + | 1.55588i | ||||
\(105\) | −4.20849 | − | 6.29846i | −0.0400809 | − | 0.0599853i | ||||
\(106\) | −17.2141 | − | 13.7050i | −0.162398 | − | 0.129293i | ||||
\(107\) | 61.5178 | − | 74.9597i | 0.574933 | − | 0.700558i | −0.401627 | − | 0.915803i | \(-0.631555\pi\) |
0.976560 | + | 0.215245i | \(0.0690551\pi\) | |||||||
\(108\) | 35.5016 | − | 20.3525i | 0.328718 | − | 0.188449i | ||||
\(109\) | 62.2472 | + | 33.2718i | 0.571075 | + | 0.305246i | 0.731543 | − | 0.681795i | \(-0.238800\pi\) |
−0.160468 | + | 0.987041i | \(0.551300\pi\) | |||||||
\(110\) | 10.6496 | + | 15.4375i | 0.0968149 | + | 0.140341i | ||||
\(111\) | −11.6480 | − | 4.82476i | −0.104937 | − | 0.0434663i | ||||
\(112\) | −20.4737 | − | 78.3203i | −0.182801 | − | 0.699289i | ||||
\(113\) | −2.31953 | − | 5.59984i | −0.0205268 | − | 0.0495561i | 0.913284 | − | 0.407324i | \(-0.133538\pi\) |
−0.933811 | + | 0.357768i | \(0.883538\pi\) | |||||||
\(114\) | −28.2319 | − | 18.2641i | −0.247648 | − | 0.160211i | ||||
\(115\) | 20.0467 | − | 6.08110i | 0.174319 | − | 0.0528792i | ||||
\(116\) | −8.63629 | − | 0.592560i | −0.0744508 | − | 0.00510827i | ||||
\(117\) | −193.355 | + | 19.0438i | −1.65261 | + | 0.162768i | ||||
\(118\) | 101.819 | − | 56.3810i | 0.862872 | − | 0.477805i | ||||
\(119\) | 122.329 | + | 24.3327i | 1.02797 | + | 0.204477i | ||||
\(120\) | −11.2588 | − | 4.08677i | −0.0938235 | − | 0.0340564i | ||||
\(121\) | 105.770 | − | 21.0390i | 0.874135 | − | 0.173876i | ||||
\(122\) | −2.70532 | + | 32.3860i | −0.0221747 | + | 0.265459i | ||||
\(123\) | 12.7617 | − | 42.0697i | 0.103754 | − | 0.342030i | ||||
\(124\) | 142.049 | − | 150.739i | 1.14556 | − | 1.21564i | ||||
\(125\) | 71.0403 | + | 86.5629i | 0.568323 | + | 0.692503i | ||||
\(126\) | 61.0706 | − | 62.9099i | 0.484687 | − | 0.499285i | ||||
\(127\) | 146.631i | 1.15457i | 0.816541 | + | 0.577287i | \(0.195889\pi\) | ||||
−0.816541 | + | 0.577287i | \(0.804111\pi\) | |||||||
\(128\) | −99.4040 | − | 80.6402i | −0.776594 | − | 0.630002i | ||||
\(129\) | −26.7877 | −0.207657 | ||||||||
\(130\) | 83.1872 | + | 80.7550i | 0.639902 | + | 0.621192i | ||||
\(131\) | 47.5561 | − | 39.0283i | 0.363024 | − | 0.297926i | −0.435144 | − | 0.900361i | \(-0.643303\pi\) |
0.798168 | + | 0.602435i | \(0.205803\pi\) | |||||||
\(132\) | 5.76298 | − | 6.11551i | 0.0436589 | − | 0.0463296i | ||||
\(133\) | −140.550 | − | 42.6354i | −1.05677 | − | 0.320567i | ||||
\(134\) | −185.184 | − | 15.4690i | −1.38197 | − | 0.115441i | ||||
\(135\) | −5.15963 | − | 25.9392i | −0.0382195 | − | 0.192142i | ||||
\(136\) | 178.664 | − | 83.5017i | 1.31370 | − | 0.613983i | ||||
\(137\) | −2.64904 | + | 13.3176i | −0.0193361 | + | 0.0972090i | −0.989248 | − | 0.146246i | \(-0.953281\pi\) |
0.969912 | + | 0.243455i | \(0.0782809\pi\) | |||||||
\(138\) | −4.54693 | − | 8.21134i | −0.0329488 | − | 0.0595024i | ||||
\(139\) | −7.86889 | − | 79.8941i | −0.0566107 | − | 0.574778i | −0.981091 | − | 0.193548i | \(-0.938001\pi\) |
0.924480 | − | 0.381230i | \(-0.124499\pi\) | |||||||
\(140\) | −52.1961 | − | 3.58132i | −0.372829 | − | 0.0255808i | ||||
\(141\) | 6.71157 | + | 22.1251i | 0.0475998 | + | 0.156916i | ||||
\(142\) | −56.0676 | + | 86.6672i | −0.394842 | + | 0.610332i | ||||
\(143\) | −75.1462 | + | 31.1266i | −0.525498 | + | 0.217668i | ||||
\(144\) | 18.9349 | − | 137.334i | 0.131492 | − | 0.953710i | ||||
\(145\) | −2.14100 | + | 5.16882i | −0.0147655 | + | 0.0356470i | ||||
\(146\) | 101.384 | − | 69.9403i | 0.694414 | − | 0.479043i | ||||
\(147\) | 6.38878 | − | 11.9526i | 0.0434611 | − | 0.0813100i | ||||
\(148\) | −75.5440 | + | 43.3081i | −0.510433 | + | 0.292622i | ||||
\(149\) | 192.392 | + | 157.892i | 1.29122 | + | 1.05968i | 0.994502 | + | 0.104714i | \(0.0333926\pi\) |
0.296719 | + | 0.954965i | \(0.404107\pi\) | |||||||
\(150\) | 13.2148 | − | 16.5984i | 0.0880986 | − | 0.110656i | ||||
\(151\) | 135.805 | − | 90.7420i | 0.899370 | − | 0.600940i | −0.0176220 | − | 0.999845i | \(-0.505610\pi\) |
0.916992 | + | 0.398905i | \(0.130610\pi\) | |||||||
\(152\) | −219.016 | + | 77.2346i | −1.44089 | + | 0.508122i | ||||
\(153\) | 177.599 | + | 118.668i | 1.16078 | + | 0.775608i | ||||
\(154\) | 16.8205 | − | 32.6241i | 0.109224 | − | 0.211844i | ||||
\(155\) | −63.1024 | − | 118.056i | −0.407112 | − | 0.761653i | ||||
\(156\) | 27.5658 | − | 44.0289i | 0.176704 | − | 0.282237i | ||||
\(157\) | 8.73463 | − | 88.6842i | 0.0556346 | − | 0.564868i | −0.926449 | − | 0.376421i | \(-0.877155\pi\) |
0.982083 | − | 0.188447i | \(-0.0603453\pi\) | |||||||
\(158\) | −29.9303 | − | 11.8805i | −0.189432 | − | 0.0751930i | ||||
\(159\) | 4.50544 | + | 4.50544i | 0.0283361 | + | 0.0283361i | ||||
\(160\) | −69.8669 | + | 44.2958i | −0.436668 | + | 0.276849i | ||||
\(161\) | −28.9910 | − | 28.9910i | −0.180068 | − | 0.180068i | ||||
\(162\) | 132.310 | − | 57.1185i | 0.816728 | − | 0.352583i | ||||
\(163\) | −7.24734 | + | 73.5835i | −0.0444622 | + | 0.451433i | 0.947018 | + | 0.321179i | \(0.104079\pi\) |
−0.991481 | + | 0.130254i | \(0.958421\pi\) | |||||||
\(164\) | −176.107 | − | 247.350i | −1.07382 | − | 1.50823i | ||||
\(165\) | −2.56008 | − | 4.78957i | −0.0155156 | − | 0.0290277i | ||||
\(166\) | 195.988 | − | 62.6418i | 1.18065 | − | 0.377360i | ||||
\(167\) | −21.3102 | − | 14.2390i | −0.127606 | − | 0.0852636i | 0.490129 | − | 0.871650i | \(-0.336950\pi\) |
−0.617735 | + | 0.786386i | \(0.711950\pi\) | |||||||
\(168\) | 3.33329 | + | 23.2035i | 0.0198410 | + | 0.138116i | ||||
\(169\) | −277.558 | + | 185.458i | −1.64235 | + | 1.09739i | ||||
\(170\) | −14.3733 | − | 126.645i | −0.0845487 | − | 0.744969i | ||||
\(171\) | −194.433 | − | 159.567i | −1.13704 | − | 0.933142i | ||||
\(172\) | −113.078 | + | 146.437i | −0.657429 | + | 0.851379i | ||||
\(173\) | −72.6347 | + | 135.890i | −0.419854 | + | 0.785491i | −0.999570 | − | 0.0293273i | \(-0.990663\pi\) |
0.579716 | + | 0.814819i | \(0.303163\pi\) | |||||||
\(174\) | 2.46555 | + | 0.452514i | 0.0141698 | + | 0.00260065i | ||||
\(175\) | 35.4650 | − | 85.6201i | 0.202657 | − | 0.489258i | ||||
\(176\) | −9.10390 | − | 57.3188i | −0.0517267 | − | 0.325675i | ||||
\(177\) | −31.1372 | + | 12.8975i | −0.175916 | + | 0.0728670i | ||||
\(178\) | −3.60193 | − | 16.8015i | −0.0202355 | − | 0.0943906i | ||||
\(179\) | 71.1854 | + | 234.667i | 0.397684 | + | 1.31099i | 0.896024 | + | 0.444006i | \(0.146443\pi\) |
−0.498341 | + | 0.866981i | \(0.666057\pi\) | |||||||
\(180\) | −80.2363 | − | 39.8734i | −0.445757 | − | 0.221519i | ||||
\(181\) | 10.2660 | + | 104.233i | 0.0567184 | + | 0.575872i | 0.980980 | + | 0.194111i | \(0.0621822\pi\) |
−0.924261 | + | 0.381761i | \(0.875318\pi\) | |||||||
\(182\) | 62.6386 | − | 218.087i | 0.344168 | − | 1.19828i | ||||
\(183\) | 1.83596 | − | 9.22999i | 0.0100326 | − | 0.0504371i | ||||
\(184\) | −64.0816 | − | 9.80598i | −0.348269 | − | 0.0532934i | ||||
\(185\) | 10.9792 | + | 55.1962i | 0.0593470 | + | 0.298358i | ||||
\(186\) | −45.7939 | + | 38.7331i | −0.246204 | + | 0.208242i | ||||
\(187\) | 85.5695 | + | 25.9572i | 0.457591 | + | 0.138809i | ||||
\(188\) | 149.280 | + | 56.7062i | 0.794040 | + | 0.301629i | ||||
\(189\) | −40.0117 | + | 32.8368i | −0.211702 | + | 0.173740i | ||||
\(190\) | 2.22648 | + | 150.075i | 0.0117183 | + | 0.789869i | ||||
\(191\) | 42.8643 | 0.224420 | 0.112210 | − | 0.993684i | \(-0.464207\pi\) | ||||
0.112210 | + | 0.993684i | \(0.464207\pi\) | |||||||
\(192\) | 25.9679 | + | 26.4484i | 0.135250 | + | 0.137752i | ||||
\(193\) | − | 18.5719i | − | 0.0962276i | −0.998842 | − | 0.0481138i | \(-0.984679\pi\) | ||
0.998842 | − | 0.0481138i | \(-0.0153210\pi\) | |||||||
\(194\) | 4.51783 | + | 304.523i | 0.0232878 | + | 1.56971i | ||||
\(195\) | −21.2982 | − | 25.9519i | −0.109221 | − | 0.133087i | ||||
\(196\) | −38.3709 | − | 85.3795i | −0.195770 | − | 0.435610i | ||||
\(197\) | 44.4938 | − | 146.676i | 0.225857 | − | 0.744550i | −0.768631 | − | 0.639693i | \(-0.779062\pi\) |
0.994487 | − | 0.104857i | \(-0.0334384\pi\) | |||||||
\(198\) | 47.9935 | − | 40.5935i | 0.242391 | − | 0.205018i | ||||
\(199\) | 369.865 | − | 73.5707i | 1.85862 | − | 0.369702i | 0.866937 | − | 0.498418i | \(-0.166085\pi\) |
0.991682 | + | 0.128715i | \(0.0410853\pi\) | |||||||
\(200\) | −34.9533 | − | 142.305i | −0.174766 | − | 0.711527i | ||||
\(201\) | 52.7772 | + | 10.4980i | 0.262573 | + | 0.0522291i | ||||
\(202\) | 39.8423 | − | 138.718i | 0.197239 | − | 0.686722i | ||||
\(203\) | 10.8968 | − | 1.07324i | 0.0536788 | − | 0.00528690i | ||||
\(204\) | −54.1332 | + | 18.1915i | −0.265359 | + | 0.0891738i | ||||
\(205\) | −187.788 | + | 56.9650i | −0.916041 | + | 0.277878i | ||||
\(206\) | 26.6854 | + | 124.476i | 0.129541 | + | 0.604254i | ||||
\(207\) | −26.8693 | − | 64.8683i | −0.129803 | − | 0.313373i | ||||
\(208\) | −124.325 | − | 336.547i | −0.597716 | − | 1.61802i | ||||
\(209\) | −97.2837 | − | 40.2962i | −0.465472 | − | 0.192805i | ||||
\(210\) | 14.9013 | + | 2.73491i | 0.0709585 | + | 0.0130234i | ||||
\(211\) | 170.813 | + | 91.3017i | 0.809543 | + | 0.432710i | 0.823586 | − | 0.567192i | \(-0.191970\pi\) |
−0.0140431 | + | 0.999901i | \(0.504470\pi\) | |||||||
\(212\) | 43.6479 | − | 5.61073i | 0.205886 | − | 0.0264657i | ||||
\(213\) | 18.9623 | − | 23.1056i | 0.0890249 | − | 0.108477i | ||||
\(214\) | 21.8707 | + | 192.705i | 0.102199 | + | 0.900492i | ||||
\(215\) | 66.4315 | + | 99.4218i | 0.308984 | + | 0.462427i | ||||
\(216\) | −20.2500 | + | 79.2987i | −0.0937500 | + | 0.367124i | ||||
\(217\) | −145.552 | + | 217.833i | −0.670745 | + | 1.00384i | ||||
\(218\) | −134.462 | + | 42.9767i | −0.616796 | + | 0.197141i | ||||
\(219\) | −31.4550 | + | 16.8130i | −0.143630 | + | 0.0767718i | ||||
\(220\) | −36.9892 | − | 6.22311i | −0.168133 | − | 0.0282869i | ||||
\(221\) | 550.117 | + | 54.1818i | 2.48922 | + | 0.245167i | ||||
\(222\) | 23.1503 | − | 9.99404i | 0.104281 | − | 0.0450182i | ||||
\(223\) | −258.061 | + | 258.061i | −1.15722 | + | 1.15722i | −0.172152 | + | 0.985070i | \(0.555072\pi\) |
−0.985070 | + | 0.172152i | \(0.944928\pi\) | |||||||
\(224\) | 140.914 | + | 79.7259i | 0.629081 | + | 0.355919i | ||||
\(225\) | 112.224 | − | 112.224i | 0.498772 | − | 0.498772i | ||||
\(226\) | 11.2673 | + | 4.47241i | 0.0498551 | + | 0.0197894i | ||||
\(227\) | 302.974 | + | 29.8403i | 1.33469 | + | 0.131455i | 0.740057 | − | 0.672544i | \(-0.234798\pi\) |
0.594630 | + | 0.803999i | \(0.297298\pi\) | |||||||
\(228\) | 65.5389 | − | 15.0705i | 0.287451 | − | 0.0660988i | ||||
\(229\) | −111.163 | + | 59.4177i | −0.485427 | + | 0.259466i | −0.695907 | − | 0.718132i | \(-0.744997\pi\) |
0.210480 | + | 0.977598i | \(0.432497\pi\) | |||||||
\(230\) | −19.2001 | + | 37.2392i | −0.0834785 | + | 0.161910i | ||||
\(231\) | −5.90507 | + | 8.83756i | −0.0255631 | + | 0.0382578i | ||||
\(232\) | 12.8814 | − | 11.5679i | 0.0555232 | − | 0.0498617i | ||||
\(233\) | 38.1107 | + | 57.0367i | 0.163565 | + | 0.244793i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.740629 | + | 0.671914i | \(0.765472\pi\) | |||||||
\(234\) | 242.031 | − | 304.001i | 1.03432 | − | 1.29915i | ||||
\(235\) | 65.4723 | − | 79.7783i | 0.278606 | − | 0.339482i | ||||
\(236\) | −60.9330 | + | 224.657i | −0.258191 | + | 0.951937i | ||||
\(237\) | 8.22381 | + | 4.39572i | 0.0346996 | + | 0.0185473i | ||||
\(238\) | −205.332 | + | 141.649i | −0.862741 | + | 0.595164i | ||||
\(239\) | −295.451 | − | 122.380i | −1.23620 | − | 0.512049i | −0.333672 | − | 0.942689i | \(-0.608288\pi\) |
−0.902524 | + | 0.430640i | \(0.858288\pi\) | |||||||
\(240\) | 21.5491 | − | 10.4636i | 0.0897879 | − | 0.0435984i | ||||
\(241\) | 3.97263 | + | 9.59079i | 0.0164840 | + | 0.0397958i | 0.931907 | − | 0.362697i | \(-0.118144\pi\) |
−0.915423 | + | 0.402493i | \(0.868144\pi\) | |||||||
\(242\) | −117.155 | + | 181.093i | −0.484110 | + | 0.748319i | ||||
\(243\) | −128.044 | + | 38.8416i | −0.526928 | + | 0.159842i | ||||
\(244\) | −42.7064 | − | 48.9985i | −0.175026 | − | 0.200813i | ||||
\(245\) | −60.2052 | + | 5.92970i | −0.245736 | + | 0.0242028i | ||||
\(246\) | 42.5935 | + | 76.9200i | 0.173144 | + | 0.312683i | ||||
\(247\) | −638.434 | − | 126.992i | −2.58475 | − | 0.514139i | ||||
\(248\) | 18.4296 | + | 413.837i | 0.0743129 | + | 1.66870i | ||||
\(249\) | −58.4366 | + | 11.6238i | −0.234685 | + | 0.0466818i | ||||
\(250\) | −223.186 | − | 18.6435i | −0.892743 | − | 0.0745740i | ||||
\(251\) | −40.6738 | + | 134.084i | −0.162047 | + | 0.534197i | −0.999932 | − | 0.0116492i | \(-0.996292\pi\) |
0.837885 | + | 0.545847i | \(0.183792\pi\) | |||||||
\(252\) | 5.20189 | + | 175.277i | 0.0206424 | + | 0.695544i | ||||
\(253\) | −18.6473 | − | 22.7217i | −0.0737046 | − | 0.0898093i | ||||
\(254\) | −210.421 | − | 204.269i | −0.828428 | − | 0.804207i | ||||
\(255\) | 36.9085i | 0.144739i | ||||||||
\(256\) | 254.199 | − | 30.3102i | 0.992966 | − | 0.118399i | ||||
\(257\) | 88.4286 | 0.344080 | 0.172040 | − | 0.985090i | \(-0.444964\pi\) | ||||
0.172040 | + | 0.985090i | \(0.444964\pi\) | |||||||
\(258\) | 37.3175 | − | 38.4414i | 0.144641 | − | 0.148998i | ||||
\(259\) | 85.1412 | − | 69.8736i | 0.328730 | − | 0.269782i | ||||
\(260\) | −231.773 | + | 6.87857i | −0.891434 | + | 0.0264560i | ||||
\(261\) | 17.9440 | + | 5.44326i | 0.0687510 | + | 0.0208554i | ||||
\(262\) | −10.2424 | + | 122.614i | −0.0390931 | + | 0.467993i | ||||
\(263\) | −82.3684 | − | 414.094i | −0.313188 | − | 1.57450i | −0.741552 | − | 0.670896i | \(-0.765910\pi\) |
0.428364 | − | 0.903606i | \(-0.359090\pi\) | |||||||
\(264\) | 0.747694 | + | 16.7895i | 0.00283217 | + | 0.0635965i | ||||
\(265\) | 5.54865 | − | 27.8949i | 0.0209383 | − | 0.105264i | ||||
\(266\) | 256.981 | − | 142.300i | 0.966092 | − | 0.534962i | ||||
\(267\) | 0.487718 | + | 4.95188i | 0.00182666 | + | 0.0185464i | ||||
\(268\) | 280.174 | − | 244.196i | 1.04543 | − | 0.911177i | ||||
\(269\) | −98.8382 | − | 325.826i | −0.367428 | − | 1.21125i | −0.924628 | − | 0.380871i | \(-0.875624\pi\) |
0.557200 | − | 0.830378i | \(-0.311876\pi\) | |||||||
\(270\) | 44.4115 | + | 28.7311i | 0.164487 | + | 0.106412i | ||||
\(271\) | 113.266 | − | 46.9162i | 0.417955 | − | 0.173123i | −0.163787 | − | 0.986496i | \(-0.552371\pi\) |
0.581743 | + | 0.813373i | \(0.302371\pi\) | |||||||
\(272\) | −129.065 | + | 372.713i | −0.474502 | + | 1.37027i | ||||
\(273\) | −25.1445 | + | 60.7042i | −0.0921044 | + | 0.222360i | ||||
\(274\) | −15.4210 | − | 22.3540i | −0.0562809 | − | 0.0815839i | ||||
\(275\) | 31.3203 | − | 58.5961i | 0.113892 | − | 0.213077i | ||||
\(276\) | 18.1178 | + | 4.91403i | 0.0656442 | + | 0.0178045i | ||||
\(277\) | −245.409 | − | 201.402i | −0.885952 | − | 0.727082i | 0.0769208 | − | 0.997037i | \(-0.475491\pi\) |
−0.962873 | + | 0.269955i | \(0.912991\pi\) | |||||||
\(278\) | 125.613 | + | 100.007i | 0.451845 | + | 0.359736i | ||||
\(279\) | −373.047 | + | 249.262i | −1.33709 | + | 0.893413i | ||||
\(280\) | 77.8526 | − | 69.9142i | 0.278045 | − | 0.249694i | ||||
\(281\) | 274.686 | + | 183.540i | 0.977532 | + | 0.653166i | 0.938212 | − | 0.346061i | \(-0.112481\pi\) |
0.0393198 | + | 0.999227i | \(0.487481\pi\) | |||||||
\(282\) | −41.1001 | − | 21.1907i | −0.145745 | − | 0.0751442i | ||||
\(283\) | 153.776 | + | 287.695i | 0.543378 | + | 1.01659i | 0.992398 | + | 0.123067i | \(0.0392731\pi\) |
−0.449020 | + | 0.893522i | \(0.648227\pi\) | |||||||
\(284\) | −46.2640 | − | 201.193i | −0.162901 | − | 0.708427i | ||||
\(285\) | 4.26009 | − | 43.2534i | 0.0149477 | − | 0.151766i | ||||
\(286\) | 60.0168 | − | 151.199i | 0.209849 | − | 0.528669i | ||||
\(287\) | 271.574 | + | 271.574i | 0.946251 | + | 0.946251i | ||||
\(288\) | 170.702 | + | 218.490i | 0.592715 | + | 0.758645i | ||||
\(289\) | −225.359 | − | 225.359i | −0.779791 | − | 0.779791i | ||||
\(290\) | −4.43487 | − | 10.2730i | −0.0152927 | − | 0.0354241i | ||||
\(291\) | 8.64430 | − | 87.7671i | 0.0297055 | − | 0.301605i | ||||
\(292\) | −40.8696 | + | 242.923i | −0.139964 | + | 0.831927i | ||||
\(293\) | −120.464 | − | 225.373i | −0.411141 | − | 0.769190i | 0.588074 | − | 0.808807i | \(-0.299886\pi\) |
−0.999215 | + | 0.0396170i | \(0.987386\pi\) | |||||||
\(294\) | 8.25230 | + | 25.8190i | 0.0280690 | + | 0.0878198i | ||||
\(295\) | 125.086 | + | 83.5800i | 0.424021 | + | 0.283322i | ||||
\(296\) | 43.0901 | − | 168.740i | 0.145575 | − | 0.570068i | ||||
\(297\) | −30.8551 | + | 20.6167i | −0.103889 | + | 0.0694166i | ||||
\(298\) | −494.598 | + | 56.1334i | −1.65973 | + | 0.188367i | ||||
\(299\) | −140.462 | − | 115.274i | −0.469773 | − | 0.385533i | ||||
\(300\) | 5.41003 | + | 42.0865i | 0.0180334 | + | 0.140288i | ||||
\(301\) | 110.317 | − | 206.388i | 0.366500 | − | 0.685674i | ||||
\(302\) | −58.9690 | + | 321.296i | −0.195262 | + | 1.06389i | ||||
\(303\) | −15.9936 | + | 38.6119i | −0.0527840 | + | 0.127432i | ||||
\(304\) | 194.272 | − | 421.889i | 0.639052 | − | 1.38779i | ||||
\(305\) | −38.8098 | + | 16.0756i | −0.127245 | + | 0.0527067i | ||||
\(306\) | −417.703 | + | 89.5475i | −1.36504 | + | 0.292639i | ||||
\(307\) | −168.425 | − | 555.224i | −0.548617 | − | 1.80855i | −0.587396 | − | 0.809299i | \(-0.699847\pi\) |
0.0387797 | − | 0.999248i | \(-0.487653\pi\) | |||||||
\(308\) | 23.3844 | + | 69.5860i | 0.0759233 | + | 0.225928i | ||||
\(309\) | −3.61332 | − | 36.6867i | −0.0116936 | − | 0.118727i | ||||
\(310\) | 257.322 | + | 73.9075i | 0.830070 | + | 0.238411i | ||||
\(311\) | 66.2638 | − | 333.131i | 0.213067 | − | 1.07116i | −0.715108 | − | 0.699014i | \(-0.753622\pi\) |
0.928175 | − | 0.372145i | \(-0.121378\pi\) | |||||||
\(312\) | 24.7817 | + | 100.894i | 0.0794285 | + | 0.323377i | ||||
\(313\) | −12.4116 | − | 62.3971i | −0.0396535 | − | 0.199352i | 0.955880 | − | 0.293756i | \(-0.0949054\pi\) |
−0.995534 | + | 0.0944043i | \(0.969905\pi\) | |||||||
\(314\) | 115.097 | + | 136.079i | 0.366551 | + | 0.433371i | ||||
\(315\) | 108.450 | + | 32.8980i | 0.344286 | + | 0.104438i | ||||
\(316\) | 58.7443 | − | 26.4006i | 0.185900 | − | 0.0835463i | ||||
\(317\) | 272.135 | − | 223.335i | 0.858470 | − | 0.704528i | −0.0983683 | − | 0.995150i | \(-0.531362\pi\) |
0.956838 | + | 0.290622i | \(0.0938623\pi\) | |||||||
\(318\) | −12.7419 | + | 0.189036i | −0.0400689 | + | 0.000594453i | ||||
\(319\) | 7.85008 | 0.0246084 | ||||||||
\(320\) | 33.7640 | − | 161.969i | 0.105512 | − | 0.506153i | ||||
\(321\) | − | 56.1607i | − | 0.174956i | ||||||
\(322\) | 81.9898 | − | 1.21638i | 0.254627 | − | 0.00377758i | ||||
\(323\) | 453.987 | + | 553.184i | 1.40553 | + | 1.71264i | ||||
\(324\) | −102.351 | + | 269.440i | −0.315899 | + | 0.831606i | ||||
\(325\) | 119.229 | − | 393.044i | 0.366857 | − | 1.20937i | ||||
\(326\) | −95.4989 | − | 112.908i | −0.292941 | − | 0.346343i | ||||
\(327\) | 40.0917 | − | 7.97473i | 0.122605 | − | 0.0243876i | ||||
\(328\) | 600.286 | + | 91.8579i | 1.83014 | + | 0.280054i | ||||
\(329\) | −198.104 | − | 39.4053i | −0.602139 | − | 0.119773i | ||||
\(330\) | 10.4396 | + | 2.99844i | 0.0316351 | + | 0.00908619i | ||||
\(331\) | 287.852 | − | 28.3510i | 0.869645 | − | 0.0856526i | 0.346656 | − | 0.937992i | \(-0.387317\pi\) |
0.522989 | + | 0.852340i | \(0.324817\pi\) | |||||||
\(332\) | −183.133 | + | 368.514i | −0.551606 | + | 1.10998i | ||||
\(333\) | 180.501 | − | 54.7543i | 0.542044 | − | 0.164427i | ||||
\(334\) | 50.1203 | − | 10.7448i | 0.150061 | − | 0.0321701i | ||||
\(335\) | −91.9202 | − | 221.915i | −0.274389 | − | 0.662433i | ||||
\(336\) | −37.9414 | − | 27.5409i | −0.112921 | − | 0.0819669i | ||||
\(337\) | −127.311 | − | 52.7341i | −0.377779 | − | 0.156481i | 0.185711 | − | 0.982604i | \(-0.440541\pi\) |
−0.563489 | + | 0.826123i | \(0.690541\pi\) | |||||||
\(338\) | 120.521 | − | 656.664i | 0.356570 | − | 1.94279i | ||||
\(339\) | −3.09585 | − | 1.65477i | −0.00913231 | − | 0.00488132i | ||||
\(340\) | 201.763 | + | 155.800i | 0.593420 | + | 0.458235i | ||||
\(341\) | −119.156 | + | 145.192i | −0.349431 | + | 0.425783i | ||||
\(342\) | 499.846 | − | 56.7290i | 1.46154 | − | 0.165874i | ||||
\(343\) | 203.514 | + | 304.580i | 0.593335 | + | 0.887989i | ||||
\(344\) | −52.6164 | − | 366.269i | −0.152955 | − | 1.06474i | ||||
\(345\) | 6.74043 | − | 10.0878i | 0.0195375 | − | 0.0292399i | ||||
\(346\) | −93.8212 | − | 293.539i | −0.271160 | − | 0.848379i | ||||
\(347\) | −526.273 | + | 281.299i | −1.51664 | + | 0.810659i | −0.998990 | − | 0.0449359i | \(-0.985692\pi\) |
−0.517646 | + | 0.855595i | \(0.673192\pi\) | |||||||
\(348\) | −4.08408 | + | 2.90776i | −0.0117358 | + | 0.00835563i | ||||
\(349\) | −261.166 | − | 25.7226i | −0.748326 | − | 0.0737037i | −0.283337 | − | 0.959020i | \(-0.591442\pi\) |
−0.464989 | + | 0.885317i | \(0.653942\pi\) | |||||||
\(350\) | 73.4624 | + | 170.169i | 0.209893 | + | 0.486197i | ||||
\(351\) | −162.212 | + | 162.212i | −0.462143 | + | 0.462143i | ||||
\(352\) | 94.9371 | + | 66.7852i | 0.269708 | + | 0.189731i | ||||
\(353\) | 244.178 | − | 244.178i | 0.691723 | − | 0.691723i | −0.270888 | − | 0.962611i | \(-0.587317\pi\) |
0.962611 | + | 0.270888i | \(0.0873172\pi\) | |||||||
\(354\) | 24.8683 | − | 62.6502i | 0.0702494 | − | 0.176978i | ||||
\(355\) | −132.781 | − | 13.0778i | −0.374030 | − | 0.0368388i | ||||
\(356\) | 29.1286 | + | 18.2370i | 0.0818219 | + | 0.0512274i | ||||
\(357\) | 63.7053 | − | 34.0512i | 0.178446 | − | 0.0953814i | ||||
\(358\) | −435.922 | − | 224.756i | −1.21766 | − | 0.627809i | ||||
\(359\) | 84.8886 | − | 127.045i | 0.236459 | − | 0.353885i | −0.694195 | − | 0.719787i | \(-0.744239\pi\) |
0.930653 | + | 0.365902i | \(0.119239\pi\) | |||||||
\(360\) | 168.995 | − | 59.5952i | 0.469431 | − | 0.165542i | ||||
\(361\) | −267.620 | − | 400.522i | −0.741330 | − | 1.10948i | ||||
\(362\) | −163.879 | − | 130.472i | −0.452705 | − | 0.360421i | ||||
\(363\) | 39.6222 | − | 48.2798i | 0.109152 | − | 0.133002i | ||||
\(364\) | 225.702 | + | 393.701i | 0.620062 | + | 1.08160i | ||||
\(365\) | 140.407 | + | 75.0490i | 0.384676 | + | 0.205614i | ||||
\(366\) | 10.6877 | + | 15.4928i | 0.0292015 | + | 0.0423300i | ||||
\(367\) | −621.861 | − | 257.583i | −1.69444 | − | 0.701861i | −0.694597 | − | 0.719399i | \(-0.744417\pi\) |
−0.999846 | + | 0.0175375i | \(0.994417\pi\) | |||||||
\(368\) | 103.343 | − | 78.2989i | 0.280822 | − | 0.212769i | ||||
\(369\) | 251.699 | + | 607.656i | 0.682112 | + | 1.64676i | ||||
\(370\) | −94.5034 | − | 61.1371i | −0.255415 | − | 0.165235i | ||||
\(371\) | −53.2667 | + | 16.1583i | −0.143576 | + | 0.0435533i | ||||
\(372\) | 8.21117 | − | 119.674i | 0.0220730 | − | 0.321705i | ||||
\(373\) | 358.531 | − | 35.3122i | 0.961208 | − | 0.0946708i | 0.394775 | − | 0.918778i | \(-0.370823\pi\) |
0.566434 | + | 0.824107i | \(0.308323\pi\) | |||||||
\(374\) | −156.455 | + | 86.6349i | −0.418328 | + | 0.231644i | ||||
\(375\) | 63.6078 | + | 12.6524i | 0.169621 | + | 0.0337397i | ||||
\(376\) | −289.334 | + | 135.225i | −0.769505 | + | 0.359642i | ||||
\(377\) | 47.5954 | − | 9.46732i | 0.126248 | − | 0.0251123i | ||||
\(378\) | 8.61754 | − | 103.163i | 0.0227977 | − | 0.272917i | ||||
\(379\) | 8.48306 | − | 27.9649i | 0.0223827 | − | 0.0737860i | −0.945038 | − | 0.326962i | \(-0.893975\pi\) |
0.967420 | + | 0.253176i | \(0.0814751\pi\) | |||||||
\(380\) | −218.465 | − | 205.872i | −0.574908 | − | 0.541767i | ||||
\(381\) | 53.8734 | + | 65.6449i | 0.141400 | + | 0.172296i | ||||
\(382\) | −59.7134 | + | 61.5119i | −0.156318 | + | 0.161026i | ||||
\(383\) | − | 404.481i | − | 1.05609i | −0.849217 | − | 0.528043i | \(-0.822926\pi\) | ||
0.849217 | − | 0.528043i | \(-0.177074\pi\) | |||||||
\(384\) | −74.1299 | + | 0.420176i | −0.193047 | + | 0.00109421i | ||||
\(385\) | 47.4444 | 0.123232 | ||||||||
\(386\) | 26.6514 | + | 25.8722i | 0.0690450 | + | 0.0670263i | ||||
\(387\) | 309.798 | − | 254.245i | 0.800513 | − | 0.656964i | ||||
\(388\) | −443.295 | − | 417.741i | −1.14251 | − | 1.07665i | ||||
\(389\) | 461.728 | + | 140.064i | 1.18696 | + | 0.360061i | 0.821196 | − | 0.570647i | \(-0.193307\pi\) |
0.365765 | + | 0.930707i | \(0.380807\pi\) | |||||||
\(390\) | 66.9120 | + | 5.58940i | 0.171569 | + | 0.0143318i | ||||
\(391\) | 38.9719 | + | 195.925i | 0.0996724 | + | 0.501087i | ||||
\(392\) | 175.976 | + | 63.8767i | 0.448920 | + | 0.162951i | ||||
\(393\) | 6.95099 | − | 34.9450i | 0.0176870 | − | 0.0889185i | ||||
\(394\) | 148.502 | + | 268.182i | 0.376910 | + | 0.680665i | ||||
\(395\) | −4.07985 | − | 41.4234i | −0.0103287 | − | 0.104869i | ||||
\(396\) | −8.60558 | + | 125.422i | −0.0217313 | + | 0.316723i | ||||
\(397\) | 9.57929 | + | 31.5787i | 0.0241292 | + | 0.0795433i | 0.968178 | − | 0.250262i | \(-0.0805168\pi\) |
−0.944049 | + | 0.329805i | \(0.893017\pi\) | |||||||
\(398\) | −409.675 | + | 633.260i | −1.02933 | + | 1.59111i | ||||
\(399\) | −78.5871 | + | 32.5519i | −0.196960 | + | 0.0815836i | ||||
\(400\) | 252.906 | + | 148.083i | 0.632265 | + | 0.370209i | ||||
\(401\) | −84.1105 | + | 203.061i | −0.209752 | + | 0.506386i | −0.993384 | − | 0.114839i | \(-0.963365\pi\) |
0.783632 | + | 0.621225i | \(0.213365\pi\) | |||||||
\(402\) | −88.5879 | + | 61.1126i | −0.220368 | + | 0.152021i | ||||
\(403\) | −547.345 | + | 1024.01i | −1.35818 | + | 2.54097i | ||||
\(404\) | 143.562 | + | 250.420i | 0.355351 | + | 0.619852i | ||||
\(405\) | 143.995 | + | 118.173i | 0.355543 | + | 0.291786i | ||||
\(406\) | −13.6400 | + | 17.1324i | −0.0335960 | + | 0.0421981i | ||||
\(407\) | 65.6568 | − | 43.8705i | 0.161319 | − | 0.107790i | ||||
\(408\) | 49.3064 | − | 103.025i | 0.120849 | − | 0.252513i | ||||
\(409\) | 114.064 | + | 76.2151i | 0.278885 | + | 0.186345i | 0.687144 | − | 0.726521i | \(-0.258864\pi\) |
−0.408259 | + | 0.912866i | \(0.633864\pi\) | |||||||
\(410\) | 179.857 | − | 348.840i | 0.438676 | − | 0.850829i | ||||
\(411\) | 3.70706 | + | 6.93543i | 0.00901962 | + | 0.0168745i | ||||
\(412\) | −215.803 | − | 135.111i | −0.523794 | − | 0.327939i | ||||
\(413\) | 28.8592 | − | 293.013i | 0.0698770 | − | 0.709474i | ||||
\(414\) | 130.519 | + | 51.8082i | 0.315264 | + | 0.125141i | ||||
\(415\) | 188.059 | + | 188.059i | 0.453155 | + | 0.453155i | ||||
\(416\) | 656.152 | + | 290.427i | 1.57729 | + | 0.698141i | ||||
\(417\) | −32.8766 | − | 32.8766i | −0.0788407 | − | 0.0788407i | ||||
\(418\) | 193.350 | − | 83.4698i | 0.462561 | − | 0.199689i | ||||
\(419\) | −18.5811 | + | 188.657i | −0.0443464 | + | 0.450256i | 0.947213 | + | 0.320604i | \(0.103886\pi\) |
−0.991560 | + | 0.129652i | \(0.958614\pi\) | |||||||
\(420\) | −24.6834 | + | 17.5739i | −0.0587699 | + | 0.0418427i | ||||
\(421\) | −225.633 | − | 422.130i | −0.535946 | − | 1.00268i | −0.993536 | − | 0.113520i | \(-0.963787\pi\) |
0.457590 | − | 0.889163i | \(-0.348713\pi\) | |||||||
\(422\) | −368.978 | + | 117.933i | −0.874356 | + | 0.279462i | ||||
\(423\) | −287.610 | − | 192.175i | −0.679929 | − | 0.454314i | ||||
\(424\) | −52.7534 | + | 70.4525i | −0.124418 | + | 0.166162i | ||||
\(425\) | −375.444 | + | 250.864i | −0.883398 | + | 0.590267i | ||||
\(426\) | 6.74144 | + | 59.3996i | 0.0158250 | + | 0.139436i | ||||
\(427\) | 63.5523 | + | 52.1560i | 0.148834 | + | 0.122145i | ||||
\(428\) | −307.007 | − | 237.068i | −0.717305 | − | 0.553898i | ||||
\(429\) | −22.2059 | + | 41.5443i | −0.0517620 | + | 0.0968399i | ||||
\(430\) | −235.218 | − | 43.1708i | −0.547019 | − | 0.100397i | ||||
\(431\) | −239.448 | + | 578.079i | −0.555564 | + | 1.34125i | 0.357682 | + | 0.933843i | \(0.383567\pi\) |
−0.913246 | + | 0.407407i | \(0.866433\pi\) | |||||||
\(432\) | −85.5867 | − | 139.529i | −0.198117 | − | 0.322983i | ||||
\(433\) | −148.936 | + | 61.6913i | −0.343963 | + | 0.142474i | −0.547976 | − | 0.836494i | \(-0.684602\pi\) |
0.204013 | + | 0.978968i | \(0.434602\pi\) | |||||||
\(434\) | −109.834 | − | 512.331i | −0.253074 | − | 1.18049i | ||||
\(435\) | 0.940569 | + | 3.10064i | 0.00216223 | + | 0.00712791i | ||||
\(436\) | 125.642 | − | 252.827i | 0.288171 | − | 0.579879i | ||||
\(437\) | −23.0573 | − | 234.105i | −0.0527627 | − | 0.535709i | ||||
\(438\) | 19.6920 | − | 68.5609i | 0.0449588 | − | 0.156532i | ||||
\(439\) | −141.329 | + | 710.511i | −0.321935 | + | 1.61848i | 0.393175 | + | 0.919464i | \(0.371377\pi\) |
−0.715110 | + | 0.699012i | \(0.753623\pi\) | |||||||
\(440\) | 60.4593 | − | 44.4116i | 0.137408 | − | 0.100935i | ||||
\(441\) | 39.5571 | + | 198.867i | 0.0896987 | + | 0.450946i | ||||
\(442\) | −844.110 | + | 713.959i | −1.90975 | + | 1.61529i | ||||
\(443\) | 299.076 | + | 90.7236i | 0.675115 | + | 0.204794i | 0.609182 | − | 0.793030i | \(-0.291498\pi\) |
0.0659324 | + | 0.997824i | \(0.478998\pi\) | |||||||
\(444\) | −17.9084 | + | 47.1440i | −0.0403342 | + | 0.106180i | ||||
\(445\) | 17.1692 | − | 14.0904i | 0.0385825 | − | 0.0316639i | ||||
\(446\) | −10.8275 | − | 729.826i | −0.0242770 | − | 1.63638i | ||||
\(447\) | 144.142 | 0.322466 | ||||||||
\(448\) | −310.714 | + | 91.1523i | −0.693558 | + | 0.203465i | ||||
\(449\) | 521.323i | 1.16107i | 0.814234 | + | 0.580537i | \(0.197158\pi\) | ||||
−0.814234 | + | 0.580537i | \(0.802842\pi\) | |||||||
\(450\) | 4.70860 | + | 317.382i | 0.0104636 | + | 0.705293i | ||||
\(451\) | 174.679 | + | 212.847i | 0.387315 | + | 0.471944i | ||||
\(452\) | −22.1143 | + | 9.93851i | −0.0489253 | + | 0.0219879i | ||||
\(453\) | 27.4589 | − | 90.5199i | 0.0606157 | − | 0.199823i | ||||
\(454\) | −464.889 | + | 393.209i | −1.02398 | + | 0.866099i | ||||
\(455\) | 287.658 | − | 57.2187i | 0.632215 | − | 0.125755i | ||||
\(456\) | −69.6741 | + | 115.045i | −0.152794 | + | 0.252292i | ||||
\(457\) | 378.907 | + | 75.3692i | 0.829117 | + | 0.164922i | 0.591365 | − | 0.806404i | \(-0.298589\pi\) |
0.237753 | + | 0.971326i | \(0.423589\pi\) | |||||||
\(458\) | 69.5919 | − | 242.296i | 0.151947 | − | 0.529031i | ||||
\(459\) | 250.983 | − | 24.7197i | 0.546804 | − | 0.0538555i | ||||
\(460\) | −26.6925 | − | 79.4300i | −0.0580271 | − | 0.172674i | ||||
\(461\) | −751.094 | + | 227.842i | −1.62927 | + | 0.494234i | −0.966946 | − | 0.254983i | \(-0.917930\pi\) |
−0.662325 | + | 0.749217i | \(0.730430\pi\) | |||||||
\(462\) | −4.45599 | − | 20.7854i | −0.00964500 | − | 0.0449900i | ||||
\(463\) | 61.8783 | + | 149.387i | 0.133646 | + | 0.322651i | 0.976509 | − | 0.215478i | \(-0.0691311\pi\) |
−0.842862 | + | 0.538130i | \(0.819131\pi\) | |||||||
\(464\) | −1.34441 | + | 34.6003i | −0.00289744 | + | 0.0745695i | ||||
\(465\) | −71.6250 | − | 29.6680i | −0.154032 | − | 0.0638022i | ||||
\(466\) | −134.941 | − | 24.7664i | −0.289573 | − | 0.0531468i | ||||
\(467\) | −439.520 | − | 234.928i | −0.941157 | − | 0.503059i | −0.0718956 | − | 0.997412i | \(-0.522905\pi\) |
−0.869261 | + | 0.494353i | \(0.835405\pi\) | |||||||
\(468\) | 99.0854 | + | 770.821i | 0.211721 | + | 1.64705i | ||||
\(469\) | −298.229 | + | 363.393i | −0.635882 | + | 0.774824i | ||||
\(470\) | 23.2766 | + | 205.093i | 0.0495246 | + | 0.436367i | ||||
\(471\) | −28.6729 | − | 42.9120i | −0.0608767 | − | 0.0911084i | ||||
\(472\) | −237.507 | − | 400.406i | −0.503192 | − | 0.848319i | ||||
\(473\) | 93.2121 | − | 139.502i | 0.197066 | − | 0.294930i | ||||
\(474\) | −17.7644 | + | 5.67789i | −0.0374777 | + | 0.0119787i | ||||
\(475\) | 468.942 | − | 250.655i | 0.987246 | − | 0.527694i | ||||
\(476\) | 82.7726 | − | 491.988i | 0.173892 | − | 1.03359i | ||||
\(477\) | −94.8667 | − | 9.34355i | −0.198882 | − | 0.0195882i | ||||
\(478\) | 587.206 | − | 253.498i | 1.22846 | − | 0.530330i | ||||
\(479\) | −1.72812 | + | 1.72812i | −0.00360777 | + | 0.00360777i | −0.708908 | − | 0.705301i | \(-0.750812\pi\) |
0.705301 | + | 0.708908i | \(0.250812\pi\) | |||||||
\(480\) | −15.0039 | + | 45.5004i | −0.0312582 | + | 0.0947925i | ||||
\(481\) | 345.172 | − | 345.172i | 0.717613 | − | 0.717613i | ||||
\(482\) | −19.2973 | − | 7.65985i | −0.0400359 | − | 0.0158918i | ||||
\(483\) | −23.6304 | − | 2.32739i | −0.0489243 | − | 0.00481862i | ||||
\(484\) | −96.6698 | − | 420.399i | −0.199731 | − | 0.868592i | ||||
\(485\) | −347.182 | + | 185.572i | −0.715838 | + | 0.382623i | ||||
\(486\) | 122.636 | − | 237.857i | 0.252337 | − | 0.489417i | ||||
\(487\) | −95.6396 | + | 143.135i | −0.196385 | + | 0.293911i | −0.916573 | − | 0.399868i | \(-0.869056\pi\) |
0.720187 | + | 0.693780i | \(0.244056\pi\) | |||||||
\(488\) | 129.808 | + | 6.97358i | 0.266000 | + | 0.0142901i | ||||
\(489\) | 23.7906 | + | 35.6052i | 0.0486516 | + | 0.0728123i | ||||
\(490\) | 75.3613 | − | 94.6572i | 0.153799 | − | 0.193178i | ||||
\(491\) | −91.5524 | + | 111.557i | −0.186461 | + | 0.227204i | −0.857848 | − | 0.513903i | \(-0.828199\pi\) |
0.671387 | + | 0.741107i | \(0.265699\pi\) | |||||||
\(492\) | −169.719 | − | 46.0324i | −0.344958 | − | 0.0935618i | ||||
\(493\) | −47.0504 | − | 25.1490i | −0.0954370 | − | 0.0510121i | ||||
\(494\) | 1071.63 | − | 739.265i | 2.16929 | − | 1.49649i | ||||
\(495\) | 75.0654 | + | 31.0931i | 0.151647 | + | 0.0628143i | ||||
\(496\) | −619.546 | − | 550.061i | −1.24908 | − | 1.10899i | ||||
\(497\) | 99.9287 | + | 241.249i | 0.201064 | + | 0.485411i | ||||
\(498\) | 64.7263 | − | 100.051i | 0.129972 | − | 0.200907i | ||||
\(499\) | 343.717 | − | 104.265i | 0.688812 | − | 0.208949i | 0.0735734 | − | 0.997290i | \(-0.476560\pi\) |
0.615239 | + | 0.788341i | \(0.289060\pi\) | |||||||
\(500\) | 337.670 | − | 294.308i | 0.675339 | − | 0.588616i | ||||
\(501\) | −14.7719 | + | 1.45490i | −0.0294847 | + | 0.00290399i | ||||
\(502\) | −135.753 | − | 245.157i | −0.270424 | − | 0.488361i | ||||
\(503\) | −778.377 | − | 154.829i | −1.54747 | − | 0.307811i | −0.653846 | − | 0.756628i | \(-0.726846\pi\) |
−0.893624 | + | 0.448817i | \(0.851846\pi\) | |||||||
\(504\) | −258.776 | − | 236.710i | −0.513444 | − | 0.469663i | ||||
\(505\) | 182.969 | − | 36.3949i | 0.362316 | − | 0.0720691i | ||||
\(506\) | 58.5837 | + | 4.89370i | 0.115778 | + | 0.00967135i | ||||
\(507\) | −56.1205 | + | 185.004i | −0.110691 | + | 0.364900i | ||||
\(508\) | 586.266 | − | 17.3992i | 1.15407 | − | 0.0342505i | ||||
\(509\) | 503.062 | + | 612.983i | 0.988334 | + | 1.20429i | 0.978902 | + | 0.204333i | \(0.0655024\pi\) |
0.00943216 | + | 0.999956i | \(0.496998\pi\) | |||||||
\(510\) | −52.9650 | − | 51.4165i | −0.103853 | − | 0.100817i | ||||
\(511\) | − | 311.586i | − | 0.609757i | ||||||
\(512\) | −310.624 | + | 407.010i | −0.606687 | + | 0.794941i | ||||
\(513\) | −296.983 | −0.578914 | ||||||||
\(514\) | −123.188 | + | 126.898i | −0.239666 | + | 0.246884i | ||||
\(515\) | −127.201 | + | 104.391i | −0.246991 | + | 0.202701i | ||||
\(516\) | 3.17864 | + | 107.104i | 0.00616015 | + | 0.207566i | ||||
\(517\) | −138.574 | − | 42.0360i | −0.268035 | − | 0.0813075i | ||||
\(518\) | −18.3373 | + | 219.520i | −0.0354002 | + | 0.423784i | ||||
\(519\) | 17.4094 | + | 87.5229i | 0.0335441 | + | 0.168638i | ||||
\(520\) | 313.007 | − | 342.185i | 0.601936 | − | 0.658048i | ||||
\(521\) | 138.749 | − | 697.540i | 0.266313 | − | 1.33885i | −0.583650 | − | 0.812006i | \(-0.698376\pi\) |
0.849963 | − | 0.526842i | \(-0.176624\pi\) | |||||||
\(522\) | −32.8087 | + | 18.1674i | −0.0628519 | + | 0.0348035i | ||||
\(523\) | −2.73358 | − | 27.7545i | −0.00522674 | − | 0.0530679i | 0.992218 | − | 0.124516i | \(-0.0397379\pi\) |
−0.997444 | + | 0.0714483i | \(0.977238\pi\) | |||||||
\(524\) | −161.687 | − | 185.510i | −0.308564 | − | 0.354026i | ||||
\(525\) | −15.5803 | − | 51.3612i | −0.0296767 | − | 0.0978309i | ||||
\(526\) | 708.986 | + | 458.664i | 1.34788 | + | 0.871985i | ||||
\(527\) | 1179.32 | − | 488.491i | 2.23780 | − | 0.926928i | ||||
\(528\) | −25.1351 | − | 22.3161i | −0.0476044 | − | 0.0422654i | ||||
\(529\) | −177.310 | + | 428.065i | −0.335180 | + | 0.809197i | ||||
\(530\) | 32.3005 | + | 46.8224i | 0.0609444 | + | 0.0883441i | ||||
\(531\) | 237.689 | − | 444.684i | 0.447625 | − | 0.837447i | ||||
\(532\) | −153.789 | + | 567.011i | −0.289077 | + | 1.06581i | ||||
\(533\) | 1315.78 | + | 1079.84i | 2.46864 | + | 2.02596i | ||||
\(534\) | −7.78556 | − | 6.19847i | −0.0145797 | − | 0.0116076i | ||||
\(535\) | −208.439 | + | 139.274i | −0.389605 | + | 0.260326i | ||||
\(536\) | −39.8750 | + | 742.244i | −0.0743937 | + | 1.38478i | ||||
\(537\) | 118.087 | + | 78.9034i | 0.219902 | + | 0.146934i | ||||
\(538\) | 605.262 | + | 312.065i | 1.12502 | + | 0.580046i | ||||
\(539\) | 40.0143 | + | 74.8615i | 0.0742380 | + | 0.138890i | ||||
\(540\) | −103.099 | + | 23.7074i | −0.190924 | + | 0.0439026i | ||||
\(541\) | 85.2521 | − | 865.579i | 0.157582 | − | 1.59996i | −0.513175 | − | 0.858284i | \(-0.671531\pi\) |
0.670757 | − | 0.741677i | \(-0.265969\pi\) | |||||||
\(542\) | −90.4618 | + | 227.899i | −0.166904 | + | 0.420477i | ||||
\(543\) | 42.8920 | + | 42.8920i | 0.0789908 | + | 0.0789908i | ||||
\(544\) | −355.060 | − | 704.432i | −0.652684 | − | 1.29491i | ||||
\(545\) | −129.022 | − | 129.022i | −0.236738 | − | 0.236738i | ||||
\(546\) | −52.0844 | − | 120.649i | −0.0953927 | − | 0.220969i | ||||
\(547\) | 49.5084 | − | 502.668i | 0.0905090 | − | 0.918954i | −0.837510 | − | 0.546422i | \(-0.815990\pi\) |
0.928019 | − | 0.372532i | \(-0.121510\pi\) | |||||||
\(548\) | 53.5614 | + | 9.01124i | 0.0977399 | + | 0.0164439i | ||||
\(549\) | 66.3700 | + | 124.169i | 0.120892 | + | 0.226174i | ||||
\(550\) | 40.4559 | + | 126.575i | 0.0735563 | + | 0.230136i | ||||
\(551\) | 52.2361 | + | 34.9031i | 0.0948024 | + | 0.0633449i | ||||
\(552\) | −32.2914 | + | 19.1541i | −0.0584988 | + | 0.0346994i | ||||
\(553\) | −67.7342 | + | 45.2585i | −0.122485 | + | 0.0818418i | ||||
\(554\) | 630.893 | − | 71.6019i | 1.13880 | − | 0.129245i | ||||
\(555\) | 25.1948 | + | 20.6768i | 0.0453960 | + | 0.0372556i | ||||
\(556\) | −318.502 | + | 40.9419i | −0.572846 | + | 0.0736366i | ||||
\(557\) | −137.698 | + | 257.615i | −0.247214 | + | 0.462505i | −0.974670 | − | 0.223650i | \(-0.928203\pi\) |
0.727456 | + | 0.686155i | \(0.240703\pi\) | |||||||
\(558\) | 161.984 | − | 882.579i | 0.290294 | − | 1.58168i | ||||
\(559\) | 396.908 | − | 958.221i | 0.710033 | − | 1.71417i | ||||
\(560\) | −8.12537 | + | 209.117i | −0.0145096 | + | 0.373424i | ||||
\(561\) | 47.8453 | − | 19.8182i | 0.0852858 | − | 0.0353265i | ||||
\(562\) | −646.046 | + | 138.500i | −1.14955 | + | 0.246441i | ||||
\(563\) | −280.214 | − | 923.742i | −0.497716 | − | 1.64075i | −0.741525 | − | 0.670925i | \(-0.765897\pi\) |
0.243809 | − | 0.969823i | \(-0.421603\pi\) | |||||||
\(564\) | 87.6650 | − | 29.4598i | 0.155434 | − | 0.0522338i | ||||
\(565\) | 1.53586 | + | 15.5938i | 0.00271833 | + | 0.0275997i | ||||
\(566\) | −627.075 | − | 180.107i | −1.10791 | − | 0.318211i | ||||
\(567\) | 71.1240 | − | 357.565i | 0.125439 | − | 0.630625i | ||||
\(568\) | 353.169 | + | 213.888i | 0.621777 | + | 0.376563i | ||||
\(569\) | −86.6887 | − | 435.814i | −0.152353 | − | 0.765929i | −0.979104 | − | 0.203361i | \(-0.934813\pi\) |
0.826751 | − | 0.562568i | \(-0.190187\pi\) | |||||||
\(570\) | 56.1356 | + | 66.3688i | 0.0984835 | + | 0.116437i | ||||
\(571\) | 501.678 | + | 152.182i | 0.878596 | + | 0.266519i | 0.697188 | − | 0.716889i | \(-0.254434\pi\) |
0.181408 | + | 0.983408i | \(0.441934\pi\) | |||||||
\(572\) | 133.368 | + | 296.759i | 0.233161 | + | 0.518810i | ||||
\(573\) | 19.1898 | − | 15.7487i | 0.0334901 | − | 0.0274846i | ||||
\(574\) | −768.043 | + | 11.3945i | −1.33805 | + | 0.0198511i | ||||
\(575\) | 148.430 | 0.258139 | ||||||||
\(576\) | −551.342 | − | 59.4102i | −0.957191 | − | 0.103143i | ||||
\(577\) | 128.777i | 0.223184i | 0.993754 | + | 0.111592i | \(0.0355950\pi\) | ||||
−0.993754 | + | 0.111592i | \(0.964405\pi\) | |||||||
\(578\) | 637.343 | − | 9.45547i | 1.10267 | − | 0.0163590i | ||||
\(579\) | −6.82348 | − | 8.31443i | −0.0117849 | − | 0.0143600i | ||||
\(580\) | 20.9202 | + | 7.94688i | 0.0360694 | + | 0.0137015i | ||||
\(581\) | 151.096 | − | 498.097i | 0.260062 | − | 0.857310i | ||||
\(582\) | 113.907 | + | 134.671i | 0.195716 | + | 0.231394i | ||||
\(583\) | −39.1402 | + | 7.78548i | −0.0671359 | + | 0.0133542i | ||||
\(584\) | −291.668 | − | 397.060i | −0.499432 | − | 0.679897i | ||||
\(585\) | 492.624 | + | 97.9890i | 0.842092 | + | 0.167503i | ||||
\(586\) | 491.234 | + | 141.091i | 0.838283 | + | 0.240770i | ||||
\(587\) | −408.260 | + | 40.2101i | −0.695502 | + | 0.0685010i | −0.439589 | − | 0.898199i | \(-0.644876\pi\) |
−0.255913 | + | 0.966700i | \(0.582376\pi\) | |||||||
\(588\) | −48.5473 | − | 24.1256i | −0.0825635 | − | 0.0410299i | ||||
\(589\) | −1438.44 | + | 436.346i | −2.44218 | + | 0.740826i | ||||
\(590\) | −294.195 | + | 63.0699i | −0.498636 | + | 0.106898i | ||||
\(591\) | −33.9707 | − | 82.0126i | −0.0574801 | − | 0.138769i | ||||
\(592\) | 182.120 | + | 296.904i | 0.307636 | + | 0.501527i | ||||
\(593\) | −656.068 | − | 271.752i | −1.10635 | − | 0.458267i | −0.246674 | − | 0.969099i | \(-0.579338\pi\) |
−0.859681 | + | 0.510832i | \(0.829338\pi\) | |||||||
\(594\) | 13.3979 | − | 72.9990i | 0.0225553 | − | 0.122894i | ||||
\(595\) | −284.364 | − | 151.996i | −0.477922 | − | 0.255455i | ||||
\(596\) | 608.461 | − | 787.965i | 1.02091 | − | 1.32209i | ||||
\(597\) | 138.554 | − | 168.828i | 0.232083 | − | 0.282794i | ||||
\(598\) | 361.098 | − | 40.9821i | 0.603842 | − | 0.0685319i | ||||
\(599\) | −53.5510 | − | 80.1448i | −0.0894007 | − | 0.133798i | 0.784074 | − | 0.620668i | \(-0.213138\pi\) |
−0.873474 | + | 0.486870i | \(0.838138\pi\) | |||||||
\(600\) | −67.9323 | − | 50.8663i | −0.113221 | − | 0.0847772i | ||||
\(601\) | −575.559 | + | 861.384i | −0.957668 | + | 1.43325i | −0.0571834 | + | 0.998364i | \(0.518212\pi\) |
−0.900485 | + | 0.434888i | \(0.856788\pi\) | |||||||
\(602\) | 142.494 | + | 445.823i | 0.236702 | + | 0.740570i | ||||
\(603\) | −710.003 | + | 379.504i | −1.17745 | + | 0.629360i | ||||
\(604\) | −378.923 | − | 532.213i | −0.627355 | − | 0.881148i | ||||
\(605\) | −277.449 | − | 27.3263i | −0.458593 | − | 0.0451675i | ||||
\(606\) | −33.1292 | − | 76.7408i | −0.0546686 | − | 0.126635i | ||||
\(607\) | 165.249 | − | 165.249i | 0.272239 | − | 0.272239i | −0.557762 | − | 0.830001i | \(-0.688340\pi\) |
0.830001 | + | 0.557762i | \(0.188340\pi\) | |||||||
\(608\) | 334.791 | + | 866.512i | 0.550643 | + | 1.42518i | ||||
\(609\) | 4.48405 | − | 4.48405i | 0.00736297 | − | 0.00736297i | ||||
\(610\) | 30.9962 | − | 78.0881i | 0.0508134 | − | 0.128013i | ||||
\(611\) | −890.878 | − | 87.7438i | −1.45807 | − | 0.143607i | ||||
\(612\) | 453.389 | − | 724.166i | 0.740832 | − | 1.18328i | ||||
\(613\) | −221.440 | + | 118.362i | −0.361239 | + | 0.193086i | −0.642024 | − | 0.766684i | \(-0.721905\pi\) |
0.280785 | + | 0.959771i | \(0.409405\pi\) | |||||||
\(614\) | 1031.40 | + | 531.774i | 1.67980 | + | 0.866082i | ||||
\(615\) | −63.1412 | + | 94.4975i | −0.102669 | + | 0.153655i | ||||
\(616\) | −132.435 | − | 63.3813i | −0.214991 | − | 0.102892i | ||||
\(617\) | −539.133 | − | 806.870i | −0.873798 | − | 1.30773i | −0.950515 | − | 0.310678i | \(-0.899444\pi\) |
0.0767173 | − | 0.997053i | \(-0.475556\pi\) | |||||||
\(618\) | 57.6804 | + | 45.9222i | 0.0933339 | + | 0.0743078i | ||||
\(619\) | 643.343 | − | 783.915i | 1.03933 | − | 1.26642i | 0.0762797 | − | 0.997086i | \(-0.475696\pi\) |
0.963046 | − | 0.269336i | \(-0.0868042\pi\) | |||||||
\(620\) | −464.529 | + | 266.307i | −0.749241 | + | 0.429527i | ||||
\(621\) | −73.1127 | − | 39.0795i | −0.117734 | − | 0.0629300i | ||||
\(622\) | 385.744 | + | 559.168i | 0.620167 | + | 0.898984i | ||||
\(623\) | −40.1606 | − | 16.6351i | −0.0644632 | − | 0.0267015i | ||||
\(624\) | −179.309 | − | 104.990i | −0.287354 | − | 0.168254i | ||||
\(625\) | 64.4558 | + | 155.610i | 0.103129 | + | 0.248976i | ||||
\(626\) | 106.832 | + | 69.1131i | 0.170659 | + | 0.110404i | ||||
\(627\) | −58.3579 | + | 17.7027i | −0.0930748 | + | 0.0282339i | ||||
\(628\) | −355.617 | − | 24.3999i | −0.566269 | − | 0.0388533i | ||||
\(629\) | −534.068 | + | 52.6011i | −0.849075 | + | 0.0836266i | ||||
\(630\) | −198.290 | + | 109.800i | −0.314745 | + | 0.174286i | ||||
\(631\) | 315.190 | + | 62.6951i | 0.499508 | + | 0.0993584i | 0.438413 | − | 0.898774i | \(-0.355541\pi\) |
0.0610951 | + | 0.998132i | \(0.480541\pi\) | |||||||
\(632\) | −43.9495 | + | 121.078i | −0.0695404 | + | 0.191580i | ||||
\(633\) | 110.016 | − | 21.8836i | 0.173801 | − | 0.0345712i | ||||
\(634\) | −58.6111 | + | 701.647i | −0.0924465 | + | 1.10670i | ||||
\(635\) | 110.037 | − | 362.744i | 0.173287 | − | 0.571250i | ||||
\(636\) | 17.4792 | − | 18.5485i | 0.0274831 | − | 0.0291642i | ||||
\(637\) | 332.893 | + | 405.631i | 0.522595 | + | 0.636783i | ||||
\(638\) | −10.9358 | + | 11.2652i | −0.0171407 | + | 0.0176570i | ||||
\(639\) | 447.188i | 0.699825i | ||||||||
\(640\) | 185.396 | + | 274.088i | 0.289681 | + | 0.428263i | ||||
\(641\) | 8.68542 | 0.0135498 | 0.00677490 | − | 0.999977i | \(-0.497843\pi\) | ||||
0.00677490 | + | 0.999977i | \(0.497843\pi\) | |||||||
\(642\) | 80.5927 | + | 78.2364i | 0.125534 | + | 0.121863i | ||||
\(643\) | 444.433 | − | 364.736i | 0.691186 | − | 0.567242i | −0.221870 | − | 0.975076i | \(-0.571216\pi\) |
0.913056 | + | 0.407835i | \(0.133716\pi\) | |||||||
\(644\) | −112.473 | + | 119.353i | −0.174647 | + | 0.185331i | ||||
\(645\) | 66.2690 | + | 20.1025i | 0.102743 | + | 0.0311666i | ||||
\(646\) | −1426.28 | − | 119.142i | −2.20786 | − | 0.184431i | ||||
\(647\) | −75.3503 | − | 378.812i | −0.116461 | − | 0.585489i | −0.994308 | − | 0.106547i | \(-0.966020\pi\) |
0.877847 | − | 0.478942i | \(-0.158980\pi\) | |||||||
\(648\) | −244.073 | − | 522.229i | −0.376657 | − | 0.805910i | ||||
\(649\) | 41.1810 | − | 207.031i | 0.0634530 | − | 0.319000i | ||||
\(650\) | 397.938 | + | 718.639i | 0.612212 | + | 1.10560i | ||||
\(651\) | 14.8720 | + | 150.998i | 0.0228449 | + | 0.231948i | ||||
\(652\) | 295.064 | + | 20.2452i | 0.452553 | + | 0.0310509i | ||||
\(653\) | 6.58437 | + | 21.7058i | 0.0100833 | + | 0.0332400i | 0.961838 | − | 0.273621i | \(-0.0882214\pi\) |
−0.951754 | + | 0.306861i | \(0.900721\pi\) | |||||||
\(654\) | −44.4069 | + | 68.6425i | −0.0679004 | + | 0.104958i | ||||
\(655\) | −146.935 | + | 60.8625i | −0.224328 | + | 0.0929198i | ||||
\(656\) | −968.066 | + | 733.468i | −1.47571 | + | 1.11809i | ||||
\(657\) | 204.200 | − | 492.983i | 0.310807 | − | 0.750355i | ||||
\(658\) | 332.522 | − | 229.391i | 0.505353 | − | 0.348619i | ||||
\(659\) | −214.656 | + | 401.593i | −0.325730 | + | 0.609397i | −0.990478 | − | 0.137670i | \(-0.956039\pi\) |
0.664749 | + | 0.747067i | \(0.268539\pi\) | |||||||
\(660\) | −18.8461 | + | 10.8041i | −0.0285546 | + | 0.0163699i | ||||
\(661\) | 51.1206 | + | 41.9536i | 0.0773383 | + | 0.0634699i | 0.672268 | − | 0.740308i | \(-0.265320\pi\) |
−0.594930 | + | 0.803778i | \(0.702820\pi\) | |||||||
\(662\) | −360.317 | + | 452.574i | −0.544285 | + | 0.683647i | ||||
\(663\) | 266.188 | − | 177.861i | 0.401490 | − | 0.268267i | ||||
\(664\) | −273.713 | − | 776.173i | −0.412218 | − | 1.16893i | ||||
\(665\) | 315.705 | + | 210.947i | 0.474744 | + | 0.317214i | ||||
\(666\) | −172.877 | + | 335.302i | −0.259576 | + | 0.503456i | ||||
\(667\) | 8.26690 | + | 15.4663i | 0.0123942 | + | 0.0231878i | ||||
\(668\) | −54.4023 | + | 86.8929i | −0.0814406 | + | 0.130079i | ||||
\(669\) | −20.7171 | + | 210.344i | −0.0309673 | + | 0.314416i | ||||
\(670\) | 446.508 | + | 177.236i | 0.666430 | + | 0.264532i | ||||
\(671\) | 41.6782 | + | 41.6782i | 0.0621136 | + | 0.0621136i | ||||
\(672\) | 92.3775 | − | 16.0806i | 0.137467 | − | 0.0239295i | ||||
\(673\) | 862.576 | + | 862.576i | 1.28169 | + | 1.28169i | 0.939707 | + | 0.341982i | \(0.111098\pi\) |
0.341982 | + | 0.939707i | \(0.388902\pi\) | |||||||
\(674\) | 253.030 | − | 109.234i | 0.375416 | − | 0.162068i | ||||
\(675\) | 18.3674 | − | 186.487i | 0.0272110 | − | 0.276277i | ||||
\(676\) | 774.441 | + | 1087.74i | 1.14562 | + | 1.60908i | ||||
\(677\) | 466.158 | + | 872.120i | 0.688564 | + | 1.28821i | 0.946704 | + | 0.322105i | \(0.104390\pi\) |
−0.258140 | + | 0.966107i | \(0.583110\pi\) | |||||||
\(678\) | 6.68742 | − | 2.13744i | 0.00986345 | − | 0.00315256i | ||||
\(679\) | 640.608 | + | 428.041i | 0.943458 | + | 0.630399i | ||||
\(680\) | −504.650 | + | 72.4955i | −0.742133 | + | 0.106611i | ||||
\(681\) | 146.601 | − | 97.9560i | 0.215274 | − | 0.143841i | ||||
\(682\) | −42.3621 | − | 373.257i | −0.0621145 | − | 0.547298i | ||||
\(683\) | −517.738 | − | 424.896i | −0.758034 | − | 0.622103i | 0.173886 | − | 0.984766i | \(-0.444368\pi\) |
−0.931920 | + | 0.362663i | \(0.881868\pi\) | |||||||
\(684\) | −614.917 | + | 796.325i | −0.899001 | + | 1.16422i | ||||
\(685\) | 16.5474 | − | 30.9580i | 0.0241567 | − | 0.0451941i | ||||
\(686\) | −720.595 | − | 132.254i | −1.05043 | − | 0.192791i | ||||
\(687\) | −27.9357 | + | 67.4427i | −0.0406633 | + | 0.0981699i | ||||
\(688\) | 598.908 | + | 434.736i | 0.870506 | + | 0.631883i | ||||
\(689\) | −227.920 | + | 94.4075i | −0.330798 | + | 0.137021i | ||||
\(690\) | 5.08636 | + | 23.7258i | 0.00737154 | + | 0.0343852i | ||||
\(691\) | −71.2300 | − | 234.814i | −0.103083 | − | 0.339818i | 0.890194 | − | 0.455581i | \(-0.150569\pi\) |
−0.993277 | + | 0.115764i | \(0.963069\pi\) | |||||||
\(692\) | 551.940 | + | 274.286i | 0.797601 | + | 0.396367i | ||||
\(693\) | −15.5864 | − | 158.251i | −0.0224912 | − | 0.228357i | ||||
\(694\) | 329.466 | − | 1147.09i | 0.474735 | − | 1.65287i | ||||
\(695\) | −40.4889 | + | 203.552i | −0.0582574 | + | 0.292880i | ||||
\(696\) | 1.51670 | − | 9.91154i | 0.00217916 | − | 0.0142407i | ||||
\(697\) | −365.071 | − | 1835.34i | −0.523775 | − | 2.63319i | ||||
\(698\) | 400.738 | − | 338.949i | 0.574123 | − | 0.485600i | ||||
\(699\) | 38.0175 | + | 11.5325i | 0.0543884 | + | 0.0164985i | ||||
\(700\) | −346.538 | − | 131.638i | −0.495054 | − | 0.188054i | ||||
\(701\) | −931.372 | + | 764.358i | −1.32863 | + | 1.09038i | −0.339938 | + | 0.940448i | \(0.610406\pi\) |
−0.988696 | + | 0.149934i | \(0.952094\pi\) | |||||||
\(702\) | −6.80598 | − | 458.755i | −0.00969513 | − | 0.653497i | ||||
\(703\) | 631.951 | 0.898935 | ||||||||
\(704\) | −228.094 | + | 43.2010i | −0.323997 | + | 0.0613651i | ||||
\(705\) | − | 59.7708i | − | 0.0847813i | ||||||
\(706\) | 10.2451 | + | 690.565i | 0.0145114 | + | 0.978137i | ||||
\(707\) | −231.623 | − | 282.234i | −0.327614 | − | 0.399199i | ||||
\(708\) | 55.2619 | + | 122.964i | 0.0780535 | + | 0.173677i | ||||
\(709\) | 102.418 | − | 337.627i | 0.144454 | − | 0.476202i | −0.854619 | − | 0.519256i | \(-0.826209\pi\) |
0.999073 | + | 0.0430548i | \(0.0137090\pi\) | |||||||
\(710\) | 203.741 | − | 172.327i | 0.286959 | − | 0.242714i | ||||
\(711\) | −136.828 | + | 27.2168i | −0.192444 | + | 0.0382796i | ||||
\(712\) | −66.7491 | + | 16.3950i | −0.0937488 | + | 0.0230267i | ||||
\(713\) | −411.541 | − | 81.8606i | −0.577196 | − | 0.114811i | ||||
\(714\) | −39.8818 | + | 138.855i | −0.0558569 | + | 0.194475i | ||||
\(715\) | 209.259 | − | 20.6102i | 0.292670 | − | 0.0288255i | ||||
\(716\) | 929.807 | − | 312.462i | 1.29861 | − | 0.436399i | ||||
\(717\) | −177.233 | + | 53.7631i | −0.247187 | + | 0.0749834i | ||||
\(718\) | 64.0574 | + | 298.802i | 0.0892164 | + | 0.416159i | ||||
\(719\) | 51.9986 | + | 125.536i | 0.0723207 | + | 0.174598i | 0.955906 | − | 0.293672i | \(-0.0948775\pi\) |
−0.883585 | + | 0.468270i | \(0.844877\pi\) | |||||||
\(720\) | −149.903 | + | 325.535i | −0.208198 | + | 0.452132i | ||||
\(721\) | 297.535 | + | 123.243i | 0.412670 | + | 0.170934i | ||||
\(722\) | 947.580 | + | 173.914i | 1.31244 | + | 0.240878i | ||||
\(723\) | 5.30223 | + | 2.83410i | 0.00733366 | + | 0.00391992i | ||||
\(724\) | 415.530 | − | 53.4144i | 0.573936 | − | 0.0737767i | ||||
\(725\) | −25.1476 | + | 30.6425i | −0.0346864 | + | 0.0422655i | ||||
\(726\) | 14.0864 | + | 124.117i | 0.0194028 | + | 0.170960i | ||||
\(727\) | 617.945 | + | 924.820i | 0.849993 | + | 1.27211i | 0.960514 | + | 0.278231i | \(0.0897482\pi\) |
−0.110521 | + | 0.993874i | \(0.535252\pi\) | |||||||
\(728\) | −879.397 | − | 224.566i | −1.20796 | − | 0.308470i | ||||
\(729\) | 317.238 | − | 474.781i | 0.435169 | − | 0.651277i | ||||
\(730\) | −303.296 | + | 96.9397i | −0.415474 | + | 0.132794i | ||||
\(731\) | −1005.59 | + | 537.501i | −1.37564 | + | 0.735296i | ||||
\(732\) | −37.1216 | − | 6.24538i | −0.0507125 | − | 0.00853193i | ||||
\(733\) | 192.932 | + | 19.0021i | 0.263208 | + | 0.0259238i | 0.228760 | − | 0.973483i | \(-0.426533\pi\) |
0.0344478 | + | 0.999406i | \(0.489033\pi\) | |||||||
\(734\) | 1235.94 | − | 533.559i | 1.68385 | − | 0.726920i | ||||
\(735\) | −24.7745 | + | 24.7745i | −0.0337069 | + | 0.0337069i | ||||
\(736\) | −31.6027 | + | 257.377i | −0.0429385 | + | 0.349697i | ||||
\(737\) | −238.317 | + | 238.317i | −0.323361 | + | 0.323361i | ||||
\(738\) | −1222.65 | − | 485.315i | −1.65670 | − | 0.657609i | ||||
\(739\) | −653.645 | − | 64.3784i | −0.884499 | − | 0.0871155i | −0.354442 | − | 0.935078i | \(-0.615329\pi\) |
−0.530056 | + | 0.847962i | \(0.677829\pi\) | |||||||
\(740\) | 219.385 | − | 50.4471i | 0.296466 | − | 0.0681717i | ||||
\(741\) | −332.477 | + | 177.713i | −0.448687 | + | 0.239828i | ||||
\(742\) | 51.0170 | − | 98.9493i | 0.0687560 | − | 0.133355i | ||||
\(743\) | −436.978 | + | 653.984i | −0.588127 | + | 0.880194i | −0.999511 | − | 0.0312681i | \(-0.990045\pi\) |
0.411384 | + | 0.911462i | \(0.365045\pi\) | |||||||
\(744\) | 160.298 | + | 178.499i | 0.215454 | + | 0.239918i | ||||
\(745\) | −357.462 | − | 534.980i | −0.479815 | − | 0.718093i | ||||
\(746\) | −448.787 | + | 563.697i | −0.601592 | + | 0.755627i | ||||
\(747\) | 565.493 | − | 689.055i | 0.757018 | − | 0.922430i | ||||
\(748\) | 93.6295 | − | 345.207i | 0.125173 | − | 0.461507i | ||||
\(749\) | 432.694 | + | 231.280i | 0.577695 | + | 0.308785i | ||||
\(750\) | −106.767 | + | 73.6538i | −0.142357 | + | 0.0982051i | ||||
\(751\) | −58.2559 | − | 24.1304i | −0.0775711 | − | 0.0321310i | 0.343560 | − | 0.939131i | \(-0.388367\pi\) |
−0.421132 | + | 0.907000i | \(0.638367\pi\) | |||||||
\(752\) | 209.011 | − | 603.584i | 0.277941 | − | 0.802639i | ||||
\(753\) | 31.0542 | + | 74.9715i | 0.0412407 | + | 0.0995638i | ||||
\(754\) | −52.7183 | + | 81.4899i | −0.0699181 | + | 0.108077i | ||||
\(755\) | −404.058 | + | 122.570i | −0.535176 | + | 0.162344i | ||||
\(756\) | 136.037 | + | 156.080i | 0.179943 | + | 0.206455i | ||||
\(757\) | −58.1065 | + | 5.72299i | −0.0767589 | + | 0.00756009i | −0.136324 | − | 0.990664i | \(-0.543529\pi\) |
0.0595648 | + | 0.998224i | \(0.481029\pi\) | |||||||
\(758\) | 28.3131 | + | 51.1308i | 0.0373523 | + | 0.0674549i | ||||
\(759\) | −16.6963 | − | 3.32110i | −0.0219978 | − | 0.00437563i | ||||
\(760\) | 599.772 | − | 26.7099i | 0.789174 | − | 0.0351447i | ||||
\(761\) | 454.626 | − | 90.4308i | 0.597406 | − | 0.118831i | 0.112881 | − | 0.993609i | \(-0.463992\pi\) |
0.484526 | + | 0.874777i | \(0.338992\pi\) | |||||||
\(762\) | −169.253 | − | 14.1383i | −0.222117 | − | 0.0185542i | ||||
\(763\) | −103.663 | + | 341.730i | −0.135862 | + | 0.447877i | ||||
\(764\) | −5.08628 | − | 171.382i | −0.00665744 | − | 0.224322i | ||||
\(765\) | −350.302 | − | 426.844i | −0.457911 | − | 0.557966i | ||||
\(766\) | 580.445 | + | 563.474i | 0.757762 | + | 0.735606i | ||||
\(767\) | − | 1304.90i | − | 1.70131i | ||||||
\(768\) | 102.666 | − | 106.964i | 0.133679 | − | 0.139277i | ||||
\(769\) | 75.6175 | 0.0983322 | 0.0491661 | − | 0.998791i | \(-0.484344\pi\) | ||||
0.0491661 | + | 0.998791i | \(0.484344\pi\) | |||||||
\(770\) | −66.0938 | + | 68.0844i | −0.0858361 | + | 0.0884213i | ||||
\(771\) | 39.5885 | − | 32.4894i | 0.0513469 | − | 0.0421393i | ||||
\(772\) | −74.2550 | + | 2.20375i | −0.0961852 | + | 0.00285459i | ||||
\(773\) | 708.164 | + | 214.819i | 0.916124 | + | 0.277903i | 0.712930 | − | 0.701235i | \(-0.247368\pi\) |
0.203194 | + | 0.979138i | \(0.434868\pi\) | |||||||
\(774\) | −66.7229 | + | 798.755i | −0.0862053 | + | 1.03198i | ||||
\(775\) | −185.037 | − | 930.241i | −0.238757 | − | 1.20031i | ||||
\(776\) | 1217.02 | − | 54.1981i | 1.56832 | − | 0.0698429i | ||||
\(777\) | 12.4446 | − | 62.5631i | 0.0160162 | − | 0.0805188i | ||||
\(778\) | −844.220 | + | 467.477i | −1.08512 | + | 0.600870i | ||||
\(779\) | 215.990 | + | 2192.99i | 0.277266 | + | 2.81513i | ||||
\(780\) | −101.235 | + | 88.2347i | −0.129788 | + | 0.113121i | ||||
\(781\) | 54.3442 | + | 179.149i | 0.0695829 | + | 0.229384i | ||||
\(782\) | −335.451 | − | 217.013i | −0.428965 | − | 0.277510i | ||||
\(783\) | 20.4548 | − | 8.47267i | 0.0261237 | − | 0.0108208i | ||||
\(784\) | −336.815 | + | 163.547i | −0.429610 | + | 0.208606i | ||||
\(785\) | −88.1600 | + | 212.837i | −0.112306 | + | 0.271130i | ||||
\(786\) | 40.4641 | + | 58.6561i | 0.0514810 | + | 0.0746260i | ||||
\(787\) | −157.343 | + | 294.369i | −0.199928 | + | 0.374039i | −0.961828 | − | 0.273656i | \(-0.911767\pi\) |
0.761899 | + | 0.647695i | \(0.224267\pi\) | |||||||
\(788\) | −591.727 | − | 160.492i | −0.750922 | − | 0.203670i | ||||
\(789\) | −189.017 | − | 155.122i | −0.239565 | − | 0.196606i | ||||
\(790\) | 65.1277 | + | 51.8514i | 0.0824401 | + | 0.0656347i | ||||
\(791\) | 25.4985 | − | 17.0376i | 0.0322358 | − | 0.0215393i | ||||
\(792\) | −167.997 | − | 187.073i | −0.212118 | − | 0.236203i | ||||
\(793\) | 302.962 | + | 202.433i | 0.382045 | + | 0.255275i | ||||
\(794\) | −58.6613 | − | 30.2450i | −0.0738807 | − | 0.0380919i | ||||
\(795\) | −7.76476 | − | 14.5268i | −0.00976700 | − | 0.0182728i | ||||
\(796\) | −338.042 | − | 1470.08i | −0.424676 | − | 1.84683i | ||||
\(797\) | 24.1737 | − | 245.440i | 0.0303309 | − | 0.307955i | −0.968035 | − | 0.250814i | \(-0.919302\pi\) |
0.998366 | − | 0.0571406i | \(-0.0181983\pi\) | |||||||
\(798\) | 62.7650 | − | 158.123i | 0.0786529 | − | 0.198149i | ||||
\(799\) | 695.892 | + | 695.892i | 0.870954 | + | 0.870954i | ||||
\(800\) | −564.823 | + | 156.638i | −0.706029 | + | 0.195797i | ||||
\(801\) | −52.6392 | − | 52.6392i | −0.0657168 | − | 0.0657168i | ||||
\(802\) | −174.227 | − | 403.581i | −0.217241 | − | 0.503218i | ||||
\(803\) | 21.8957 | − | 222.311i | 0.0272673 | − | 0.276850i | ||||
\(804\) | 35.7111 | − | 212.262i | 0.0444168 | − | 0.264007i | ||||
\(805\) | 49.9636 | + | 93.4752i | 0.0620665 | + | 0.116118i | ||||
\(806\) | −706.997 | − | 2211.99i | −0.877168 | − | 2.74440i | ||||
\(807\) | −163.960 | − | 109.554i | −0.203172 | − | 0.135755i | ||||
\(808\) | −559.355 | − | 142.839i | −0.692271 | − | 0.176781i | ||||
\(809\) | −992.657 | + | 663.272i | −1.22702 | + | 0.819867i | −0.988493 | − | 0.151270i | \(-0.951664\pi\) |
−0.238525 | + | 0.971136i | \(0.576664\pi\) | |||||||
\(810\) | −370.179 | + | 42.0128i | −0.457012 | + | 0.0518676i | ||||
\(811\) | −539.447 | − | 442.713i | −0.665163 | − | 0.545885i | 0.240094 | − | 0.970750i | \(-0.422822\pi\) |
−0.905257 | + | 0.424865i | \(0.860322\pi\) | |||||||
\(812\) | −5.58409 | − | 43.4407i | −0.00687696 | − | 0.0534984i | ||||
\(813\) | 33.4704 | − | 62.6186i | 0.0411690 | − | 0.0770217i | ||||
\(814\) | −28.5094 | + | 155.335i | −0.0350238 | + | 0.190829i | ||||
\(815\) | 73.1485 | − | 176.596i | 0.0897528 | − | 0.216682i | ||||
\(816\) | 79.1572 | + | 214.279i | 0.0970064 | + | 0.262596i | ||||
\(817\) | 1240.51 | − | 513.834i | 1.51837 | − | 0.628928i | ||||
\(818\) | −268.272 | + | 57.5123i | −0.327960 | + | 0.0703084i | ||||
\(819\) | −285.355 | − | 940.688i | −0.348418 | − | 1.14858i | ||||
\(820\) | 250.043 | + | 744.063i | 0.304930 | + | 0.907395i | ||||
\(821\) | −14.3689 | − | 145.890i | −0.0175017 | − | 0.177698i | 0.982460 | − | 0.186475i | \(-0.0597063\pi\) |
−0.999961 | + | 0.00877664i | \(0.997206\pi\) | |||||||
\(822\) | −15.1168 | − | 4.34183i | −0.0183903 | − | 0.00528203i | ||||
\(823\) | −75.2056 | + | 378.084i | −0.0913798 | + | 0.459397i | 0.907818 | + | 0.419363i | \(0.137747\pi\) |
−0.999198 | + | 0.0400341i | \(0.987253\pi\) | |||||||
\(824\) | 494.520 | − | 121.465i | 0.600146 | − | 0.147409i | ||||
\(825\) | −7.50698 | − | 37.7401i | −0.00909936 | − | 0.0457456i | ||||
\(826\) | 380.281 | + | 449.604i | 0.460388 | + | 0.544315i | ||||
\(827\) | 469.278 | + | 142.354i | 0.567446 | + | 0.172133i | 0.560956 | − | 0.827846i | \(-0.310434\pi\) |
0.00649094 | + | 0.999979i | \(0.497934\pi\) | |||||||
\(828\) | −256.171 | + | 115.127i | −0.309385 | + | 0.139043i | ||||
\(829\) | −1173.42 | + | 962.999i | −1.41546 | + | 1.16164i | −0.452578 | + | 0.891725i | \(0.649496\pi\) |
−0.962884 | + | 0.269915i | \(0.913004\pi\) | |||||||
\(830\) | −531.853 | + | 7.89046i | −0.640787 | + | 0.00950658i | ||||
\(831\) | −183.863 | −0.221255 | ||||||||
\(832\) | −1330.85 | + | 537.015i | −1.59957 | + | 0.645451i | ||||
\(833\) | − | 576.884i | − | 0.692537i | ||||||
\(834\) | 92.9788 | − | 1.37941i | 0.111485 | − | 0.00165397i | ||||
\(835\) | 42.0328 | + | 51.2172i | 0.0503387 | + | 0.0613379i | ||||
\(836\) | −149.570 | + | 393.745i | −0.178912 | + | 0.470987i | ||||
\(837\) | −153.776 | + | 506.931i | −0.183722 | + | 0.605652i | ||||
\(838\) | −244.845 | − | 289.479i | −0.292178 | − | 0.345441i | ||||
\(839\) | 505.641 | − | 100.578i | 0.602671 | − | 0.119879i | 0.115681 | − | 0.993286i | \(-0.463095\pi\) |
0.486990 | + | 0.873408i | \(0.338095\pi\) | |||||||
\(840\) | 9.16662 | − | 59.9034i | 0.0109126 | − | 0.0713136i | ||||
\(841\) | 820.247 | + | 163.157i | 0.975323 | + | 0.194004i | ||||
\(842\) | 920.097 | + | 264.269i | 1.09275 | + | 0.313858i | ||||
\(843\) | 190.408 | − | 18.7535i | 0.225869 | − | 0.0222462i | ||||
\(844\) | 344.777 | − | 693.787i | 0.408504 | − | 0.822023i | ||||
\(845\) | 825.812 | − | 250.507i | 0.977292 | − | 0.296458i | ||||
\(846\) | 676.442 | − | 145.016i | 0.799577 | − | 0.171414i | ||||
\(847\) | 208.804 | + | 504.096i | 0.246521 | + | 0.595155i | ||||
\(848\) | −27.6123 | − | 173.849i | −0.0325617 | − | 0.205011i | ||||
\(849\) | 174.545 | + | 72.2989i | 0.205589 | + | 0.0851578i | ||||
\(850\) | 163.025 | − | 888.249i | 0.191794 | − | 1.04500i | ||||
\(851\) | 155.577 | + | 83.1576i | 0.182817 | + | 0.0977175i | ||||
\(852\) | −94.6319 | − | 73.0741i | −0.111070 | − | 0.0857677i | ||||
\(853\) | 508.683 | − | 619.832i | 0.596346 | − | 0.726649i | −0.384132 | − | 0.923278i | \(-0.625499\pi\) |
0.980478 | + | 0.196629i | \(0.0629994\pi\) | |||||||
\(854\) | −163.379 | + | 18.5424i | −0.191310 | + | 0.0217124i | ||||
\(855\) | 361.255 | + | 540.656i | 0.422520 | + | 0.632346i | ||||
\(856\) | 767.886 | − | 110.311i | 0.897063 | − | 0.128868i | ||||
\(857\) | 185.329 | − | 277.365i | 0.216254 | − | 0.323647i | −0.707443 | − | 0.706770i | \(-0.750152\pi\) |
0.923697 | + | 0.383123i | \(0.125152\pi\) | |||||||
\(858\) | −28.6830 | − | 89.7408i | −0.0334301 | − | 0.104593i | ||||
\(859\) | 347.928 | − | 185.972i | 0.405039 | − | 0.216498i | −0.256280 | − | 0.966603i | \(-0.582497\pi\) |
0.661319 | + | 0.750105i | \(0.269997\pi\) | |||||||
\(860\) | 389.629 | − | 277.406i | 0.453057 | − | 0.322566i | ||||
\(861\) | 221.359 | + | 21.8020i | 0.257095 | + | 0.0253217i | ||||
\(862\) | −495.994 | − | 1148.93i | −0.575399 | − | 1.33286i | ||||
\(863\) | −181.904 | + | 181.904i | −0.210781 | + | 0.210781i | −0.804599 | − | 0.593818i | \(-0.797620\pi\) |
0.593818 | + | 0.804599i | \(0.297620\pi\) | |||||||
\(864\) | 319.458 | + | 71.5547i | 0.369743 | + | 0.0828180i | ||||
\(865\) | 281.664 | − | 281.664i | 0.325623 | − | 0.325623i | ||||
\(866\) | 118.950 | − | 299.670i | 0.137356 | − | 0.346039i | ||||
\(867\) | −183.690 | − | 18.0919i | −0.211868 | − | 0.0208672i | ||||
\(868\) | 888.222 | + | 556.102i | 1.02330 | + | 0.640671i | ||||
\(869\) | −51.5075 | + | 27.5313i | −0.0592721 | + | 0.0316816i | ||||
\(870\) | −5.75982 | − | 2.96969i | −0.00662048 | − | 0.00341343i | ||||
\(871\) | −1157.51 | + | 1732.34i | −1.32895 | + | 1.98891i | ||||
\(872\) | 187.787 | + | 532.510i | 0.215352 | + | 0.610677i | ||||
\(873\) | 733.035 | + | 1097.06i | 0.839673 | + | 1.25666i | ||||
\(874\) | 368.070 | + | 293.039i | 0.421132 | + | 0.335284i | ||||
\(875\) | −359.429 | + | 437.966i | −0.410776 | + | 0.500532i | ||||
\(876\) | 70.9550 | + | 123.769i | 0.0809988 | + | 0.141289i | ||||
\(877\) | 267.546 | + | 143.006i | 0.305070 | + | 0.163063i | 0.616827 | − | 0.787099i | \(-0.288418\pi\) |
−0.311758 | + | 0.950162i | \(0.600918\pi\) | |||||||
\(878\) | −822.726 | − | 1192.61i | −0.937046 | − | 1.35833i | ||||
\(879\) | −136.734 | − | 56.6371i | −0.155556 | − | 0.0644336i | ||||
\(880\) | −20.4923 | + | 148.630i | −0.0232867 | + | 0.168898i | ||||
\(881\) | 45.0818 | + | 108.837i | 0.0511712 | + | 0.123538i | 0.947398 | − | 0.320058i | \(-0.103702\pi\) |
−0.896227 | + | 0.443596i | \(0.853702\pi\) | |||||||
\(882\) | −340.488 | − | 220.272i | −0.386041 | − | 0.249741i | ||||
\(883\) | 719.279 | − | 218.191i | 0.814586 | − | 0.247102i | 0.144614 | − | 0.989488i | \(-0.453806\pi\) |
0.669972 | + | 0.742386i | \(0.266306\pi\) | |||||||
\(884\) | 151.355 | − | 2205.93i | 0.171216 | − | 2.49539i | ||||
\(885\) | 86.7076 | − | 8.53996i | 0.0979747 | − | 0.00964967i | ||||
\(886\) | −546.828 | + | 302.799i | −0.617187 | + | 0.341760i | ||||
\(887\) | −649.173 | − | 129.129i | −0.731875 | − | 0.145579i | −0.184935 | − | 0.982751i | \(-0.559207\pi\) |
−0.546940 | + | 0.837172i | \(0.684207\pi\) | |||||||
\(888\) | −42.7056 | − | 91.3746i | −0.0480919 | − | 0.102899i | ||||
\(889\) | −727.626 | + | 144.734i | −0.818476 | + | 0.162805i | ||||
\(890\) | −3.69783 | + | 44.2675i | −0.00415486 | + | 0.0497388i | ||||
\(891\) | 75.8723 | − | 250.118i | 0.0851541 | − | 0.280716i | ||||
\(892\) | 1062.41 | + | 1001.17i | 1.19104 | + | 1.12238i | ||||
\(893\) | −735.201 | − | 895.845i | −0.823293 | − | 1.00319i | ||||
\(894\) | −200.802 | + | 206.850i | −0.224611 | + | 0.231376i | ||||
\(895\) | − | 633.951i | − | 0.708325i | ||||||
\(896\) | 302.042 | − | 572.869i | 0.337101 | − | 0.639362i | ||||
\(897\) | −105.236 | −0.117320 | ||||||||
\(898\) | −748.117 | − | 726.244i | −0.833093 | − | 0.808735i | ||||
\(899\) | 86.6248 | − | 71.0911i | 0.0963568 | − | 0.0790780i | ||||
\(900\) | −462.014 | − | 435.381i | −0.513349 | − | 0.483757i | ||||
\(901\) | 259.534 | + | 78.7287i | 0.288051 | + | 0.0873793i | ||||
\(902\) | −548.785 | − | 45.8419i | −0.608409 | − | 0.0508225i | ||||
\(903\) | −26.4411 | − | 132.929i | −0.0292814 | − | 0.147208i | ||||
\(904\) | 16.5448 | − | 45.5799i | 0.0183018 | − | 0.0504202i | ||||
\(905\) | 52.8233 | − | 265.561i | 0.0583683 | − | 0.293437i | ||||
\(906\) | 91.6470 | + | 165.506i | 0.101156 | + | 0.182678i | ||||
\(907\) | 4.25154 | + | 43.1666i | 0.00468748 | + | 0.0475927i | 0.997244 | − | 0.0741927i | \(-0.0236380\pi\) |
−0.992556 | + | 0.121785i | \(0.961138\pi\) | |||||||
\(908\) | 83.3579 | − | 1214.90i | 0.0918038 | − | 1.33800i | ||||
\(909\) | −181.504 | − | 598.340i | −0.199675 | − | 0.658240i | ||||
\(910\) | −318.619 | + | 492.509i | −0.350131 | + | 0.541219i | ||||
\(911\) | 363.796 | − | 150.689i | 0.399337 | − | 0.165411i | −0.173971 | − | 0.984751i | \(-0.555660\pi\) |
0.573308 | + | 0.819340i | \(0.305660\pi\) | |||||||
\(912\) | −68.0324 | − | 260.252i | −0.0745970 | − | 0.285364i | ||||
\(913\) | 142.806 | − | 344.765i | 0.156414 | − | 0.377618i | ||||
\(914\) | −636.005 | + | 438.750i | −0.695848 | + | 0.480032i | ||||
\(915\) | −11.4684 | + | 21.4559i | −0.0125338 | + | 0.0234491i | ||||
\(916\) | 250.757 | + | 437.405i | 0.273752 | + | 0.477516i | ||||
\(917\) | 240.610 | + | 197.464i | 0.262389 | + | 0.215337i | ||||
\(918\) | −314.166 | + | 394.606i | −0.342228 | + | 0.429854i | ||||
\(919\) | −183.373 | + | 122.526i | −0.199535 | + | 0.133325i | −0.651324 | − | 0.758800i | \(-0.725786\pi\) |
0.451789 | + | 0.892125i | \(0.350786\pi\) | |||||||
\(920\) | 151.170 | + | 72.3476i | 0.164315 | + | 0.0786387i | ||||
\(921\) | −279.396 | − | 186.686i | −0.303361 | − | 0.202700i | ||||
\(922\) | 719.372 | − | 1395.25i | 0.780230 | − | 1.51328i | ||||
\(923\) | 545.548 | + | 1020.65i | 0.591060 | + | 1.10580i | ||||
\(924\) | 36.0354 | + | 22.5612i | 0.0389993 | + | 0.0244169i | ||||
\(925\) | −39.0841 | + | 396.827i | −0.0422531 | + | 0.429002i | ||||
\(926\) | −300.578 | − | 119.311i | −0.324598 | − | 0.128845i | ||||
\(927\) | 389.984 | + | 389.984i | 0.420695 | + | 0.420695i | ||||
\(928\) | −47.7798 | − | 50.1302i | −0.0514868 | − | 0.0540196i | ||||
\(929\) | −878.158 | − | 878.158i | −0.945273 | − | 0.945273i | 0.0533057 | − | 0.998578i | \(-0.483024\pi\) |
−0.998578 | + | 0.0533057i | \(0.983024\pi\) | |||||||
\(930\) | 142.354 | − | 61.4546i | 0.153069 | − | 0.0660802i | ||||
\(931\) | −66.5857 | + | 676.056i | −0.0715206 | + | 0.726161i | ||||
\(932\) | 223.524 | − | 159.144i | 0.239833 | − | 0.170755i | ||||
\(933\) | −92.7294 | − | 173.484i | −0.0993884 | − | 0.185943i | ||||
\(934\) | 949.417 | − | 303.454i | 1.01651 | − | 0.324897i | ||||
\(935\) | −192.207 | − | 128.429i | −0.205569 | − | 0.137357i | ||||
\(936\) | −1244.19 | − | 931.624i | −1.32926 | − | 0.995324i | ||||
\(937\) | 763.050 | − | 509.853i | 0.814354 | − | 0.544134i | −0.0772174 | − | 0.997014i | \(-0.524604\pi\) |
0.891571 | + | 0.452880i | \(0.149604\pi\) | |||||||
\(938\) | −106.026 | − | 934.204i | −0.113034 | − | 0.995953i | ||||
\(939\) | −28.4817 | − | 23.3743i | −0.0303320 | − | 0.0248928i | ||||
\(940\) | −326.742 | − | 252.308i | −0.347597 | − | 0.268412i | ||||
\(941\) | 437.478 | − | 818.463i | 0.464907 | − | 0.869780i | −0.534785 | − | 0.844988i | \(-0.679608\pi\) |
0.999693 | − | 0.0247924i | \(-0.00789247\pi\) | |||||||
\(942\) | 101.524 | + | 18.6332i | 0.107775 | + | 0.0197805i | ||||
\(943\) | −235.398 | + | 568.302i | −0.249627 | + | 0.602653i | ||||
\(944\) | 905.463 | + | 216.967i | 0.959177 | + | 0.229838i | ||||
\(945\) | 123.625 | − | 51.2072i | 0.130820 | − | 0.0541875i | ||||
\(946\) | 70.3383 | + | 328.100i | 0.0743533 | + | 0.346828i | ||||
\(947\) | 307.184 | + | 1012.65i | 0.324376 | + | 1.06932i | 0.955832 | + | 0.293913i | \(0.0949574\pi\) |
−0.631456 | + | 0.775411i | \(0.717543\pi\) | |||||||
\(948\) | 16.5993 | − | 33.4024i | 0.0175098 | − | 0.0352346i | ||||
\(949\) | −135.355 | − | 1374.29i | −0.142630 | − | 1.44814i | ||||
\(950\) | −293.575 | + | 1022.13i | −0.309026 | + | 1.07593i | ||||
\(951\) | 39.7763 | − | 199.969i | 0.0418258 | − | 0.210273i | ||||
\(952\) | 590.712 | + | 804.160i | 0.620495 | + | 0.844705i | ||||
\(953\) | 29.0197 | + | 145.892i | 0.0304509 | + | 0.153087i | 0.993019 | − | 0.117952i | \(-0.0376328\pi\) |
−0.962568 | + | 0.271039i | \(0.912633\pi\) | |||||||
\(954\) | 145.565 | − | 123.121i | 0.152584 | − | 0.129058i | ||||
\(955\) | −106.040 | − | 32.1669i | −0.111037 | − | 0.0336826i | ||||
\(956\) | −454.245 | + | 1195.80i | −0.475152 | + | 1.25084i | ||||
\(957\) | 3.51439 | − | 2.88418i | 0.00367230 | − | 0.00301378i | ||||
\(958\) | −0.0725073 | − | 4.88733i | −7.56861e−5 | − | 0.00510159i | ||||
\(959\) | −68.7008 | −0.0716379 | ||||||||
\(960\) | −44.3930 | − | 84.9168i | −0.0462428 | − | 0.0884550i | ||||
\(961\) | 1720.27i | 1.79008i | ||||||||
\(962\) | 14.4825 | + | 976.186i | 0.0150546 | + | 1.01475i | ||||
\(963\) | 533.027 | + | 649.495i | 0.553506 | + | 0.674450i | ||||
\(964\) | 37.8749 | − | 17.0216i | 0.0392893 | − | 0.0176572i | ||||
\(965\) | −13.9370 | + | 45.9442i | −0.0144425 | + | 0.0476106i | ||||
\(966\) | 36.2590 | − | 30.6683i | 0.0375351 | − | 0.0317477i | ||||
\(967\) | 1239.75 | − | 246.602i | 1.28206 | − | 0.255017i | 0.493375 | − | 0.869817i | \(-0.335763\pi\) |
0.788683 | + | 0.614800i | \(0.210763\pi\) | |||||||
\(968\) | 737.956 | + | 446.924i | 0.762351 | + | 0.461698i | ||||
\(969\) | 406.489 | + | 80.8556i | 0.419493 | + | 0.0834424i | ||||
\(970\) | 217.348 | − | 756.735i | 0.224070 | − | 0.780139i | ||||
\(971\) | −40.5796 | + | 3.99674i | −0.0417915 | + | 0.00411611i | −0.118891 | − | 0.992907i | \(-0.537934\pi\) |
0.0770998 | + | 0.997023i | \(0.475434\pi\) | |||||||
\(972\) | 170.492 | + | 507.340i | 0.175403 | + | 0.521955i | ||||
\(973\) | 388.691 | − | 117.908i | 0.399477 | − | 0.121180i | ||||
\(974\) | −72.1701 | − | 336.645i | −0.0740966 | − | 0.345631i | ||||
\(975\) | −91.0304 | − | 219.767i | −0.0933645 | − | 0.225402i | ||||
\(976\) | −190.840 | + | 176.564i | −0.195533 | + | 0.180906i | ||||
\(977\) | −1003.78 | − | 415.781i | −1.02741 | − | 0.425569i | −0.195636 | − | 0.980677i | \(-0.562677\pi\) |
−0.831779 | + | 0.555107i | \(0.812677\pi\) | |||||||
\(978\) | −84.2370 | − | 15.4604i | −0.0861319 | − | 0.0158082i | ||||
\(979\) | −27.4848 | − | 14.6910i | −0.0280744 | − | 0.0150061i | ||||
\(980\) | 30.8523 | + | 240.011i | 0.0314819 | + | 0.244909i | ||||
\(981\) | −387.969 | + | 472.741i | −0.395483 | + | 0.481897i | ||||
\(982\) | −32.5485 | − | 286.789i | −0.0331451 | − | 0.292046i | ||||
\(983\) | −292.702 | − | 438.059i | −0.297764 | − | 0.445635i | 0.652176 | − | 0.758067i | \(-0.273856\pi\) |
−0.949940 | + | 0.312433i | \(0.898856\pi\) | |||||||
\(984\) | 302.491 | − | 179.426i | 0.307409 | − | 0.182344i | ||||
\(985\) | −220.142 | + | 329.466i | −0.223495 | + | 0.334483i | ||||
\(986\) | 101.635 | − | 32.4846i | 0.103078 | − | 0.0329458i | ||||
\(987\) | −103.166 | + | 55.1436i | −0.104525 | + | 0.0558699i | ||||
\(988\) | −431.989 | + | 2567.68i | −0.437236 | + | 2.59887i | ||||
\(989\) | 373.009 | + | 36.7381i | 0.377157 | + | 0.0371468i | ||||
\(990\) | −149.192 | + | 64.4064i | −0.150699 | + | 0.0650570i | ||||
\(991\) | −632.357 | + | 632.357i | −0.638100 | + | 0.638100i | −0.950087 | − | 0.311986i | \(-0.899006\pi\) |
0.311986 | + | 0.950087i | \(0.399006\pi\) | |||||||
\(992\) | 1652.43 | − | 122.792i | 1.66576 | − | 0.123782i | ||||
\(993\) | 118.452 | − | 118.452i | 0.119287 | − | 0.119287i | ||||
\(994\) | −485.410 | − | 192.678i | −0.488340 | − | 0.193841i | ||||
\(995\) | −970.202 | − | 95.5566i | −0.975078 | − | 0.0960368i | ||||
\(996\) | 53.4087 | + | 232.264i | 0.0536232 | + | 0.233197i | ||||
\(997\) | 887.928 | − | 474.607i | 0.890599 | − | 0.476035i | 0.0384060 | − | 0.999262i | \(-0.487772\pi\) |
0.852193 | + | 0.523227i | \(0.175272\pi\) | |||||||
\(998\) | −329.201 | + | 638.497i | −0.329860 | + | 0.639776i | ||||
\(999\) | 123.731 | − | 185.177i | 0.123855 | − | 0.185362i |
(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 | 128.3.l.a.3.9 | ✓ | 496 | |
128.43 | odd | 32 | inner | 128.3.l.a.43.9 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.3.l.a.3.9 | ✓ | 496 | 1.1 | even | 1 | trivial | |
128.3.l.a.43.9 | yes | 496 | 128.43 | odd | 32 | inner |