Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(5,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.o (of order \(54\), degree \(18\), 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 65.15 | ||
Character | \(\chi\) | \(=\) | 324.65 |
Dual form | 324.3.o.a.5.15 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{31}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.87615 | + | 2.34095i | 0.625383 | + | 0.780318i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −7.80193 | − | 5.80832i | −1.56039 | − | 1.16166i | −0.918874 | − | 0.394552i | \(-0.870900\pi\) |
−0.641513 | − | 0.767112i | \(-0.721693\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.92166 | + | 3.89473i | 0.845951 | + | 0.556391i | 0.896861 | − | 0.442313i | \(-0.145842\pi\) |
−0.0509101 | + | 0.998703i | \(0.516212\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.96012 | + | 8.78396i | −0.217791 | + | 0.975995i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0259603 | + | 0.222104i | 0.00236003 | + | 0.0201913i | 0.994367 | − | 0.105991i | \(-0.0338016\pi\) |
−0.992007 | + | 0.126183i | \(0.959727\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.75523 | + | 19.2238i | −0.442710 | + | 1.47876i | 0.387796 | + | 0.921745i | \(0.373237\pi\) |
−0.830506 | + | 0.557010i | \(0.811949\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.04058 | − | 29.1612i | −0.0693722 | − | 1.94408i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −16.7302 | + | 2.94999i | −0.984131 | + | 0.173529i | −0.642484 | − | 0.766299i | \(-0.722096\pi\) |
−0.341648 | + | 0.939828i | \(0.610985\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.63734 | + | 20.6284i | −0.191439 | + | 1.08571i | 0.725960 | + | 0.687737i | \(0.241396\pi\) |
−0.917399 | + | 0.397969i | \(0.869715\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.99252 | + | 21.1694i | 0.0948821 | + | 1.00807i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 12.0237 | + | 18.2812i | 0.522770 | + | 0.794833i | 0.996300 | − | 0.0859449i | \(-0.0273909\pi\) |
−0.473530 | + | 0.880778i | \(0.657021\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 19.9634 | + | 66.6825i | 0.798538 | + | 2.66730i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −24.2403 | + | 11.8915i | −0.897789 | + | 0.440425i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −9.72405 | − | 9.17417i | −0.335312 | − | 0.316351i | 0.500107 | − | 0.865963i | \(-0.333294\pi\) |
−0.835420 | + | 0.549613i | \(0.814775\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.56933 | − | 44.1136i | −0.0828815 | − | 1.42302i | −0.741707 | − | 0.670725i | \(-0.765983\pi\) |
0.658825 | − | 0.752296i | \(-0.271054\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.471230 | + | 0.477473i | −0.0142797 | + | 0.0144689i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −23.5785 | − | 64.7813i | −0.673671 | − | 1.85090i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −46.1613 | − | 16.8013i | −1.24760 | − | 0.454090i | −0.368012 | − | 0.929821i | \(-0.619961\pi\) |
−0.879591 | + | 0.475731i | \(0.842184\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −55.7997 | + | 22.5940i | −1.43076 | + | 0.579334i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.10244 | + | 29.9675i | 0.173230 | + | 0.730916i | 0.988423 | + | 0.151725i | \(0.0484830\pi\) |
−0.815192 | + | 0.579190i | \(0.803369\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.74269 | − | 6.35827i | 0.0637835 | − | 0.147867i | −0.883343 | − | 0.468727i | \(-0.844713\pi\) |
0.947127 | + | 0.320860i | \(0.103972\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 66.3128 | − | 57.1468i | 1.47362 | − | 1.26993i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 52.8732 | + | 3.07951i | 1.12496 | + | 0.0655216i | 0.610518 | − | 0.792002i | \(-0.290961\pi\) |
0.514444 | + | 0.857524i | \(0.327998\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.489143 | + | 1.13396i | 0.00998251 | + | 0.0231421i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −38.2942 | − | 33.6301i | −0.750867 | − | 0.659413i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −21.5125 | + | 12.4202i | −0.405896 | + | 0.234344i | −0.689025 | − | 0.724738i | \(-0.741961\pi\) |
0.283129 | + | 0.959082i | \(0.408628\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.08751 | − | 1.88363i | 0.0197730 | − | 0.0342478i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −55.1143 | + | 30.1871i | −0.966918 | + | 0.529599i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.07094 | + | 26.2736i | −0.0520498 | + | 0.445315i | 0.941935 | + | 0.335796i | \(0.109005\pi\) |
−0.993985 | + | 0.109519i | \(0.965069\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 50.8973 | − | 25.5616i | 0.834381 | − | 0.419042i | 0.0203007 | − | 0.999794i | \(-0.493538\pi\) |
0.814081 | + | 0.580752i | \(0.197241\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −45.8184 | + | 44.3814i | −0.727275 | + | 0.704467i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 156.560 | − | 116.555i | 2.40862 | − | 1.79315i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 47.8640 | + | 50.7328i | 0.714388 | + | 0.757207i | 0.978267 | − | 0.207349i | \(-0.0664836\pi\) |
−0.263879 | + | 0.964556i | \(0.585002\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −20.2370 | + | 62.4451i | −0.293291 | + | 0.905002i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 34.5875 | + | 41.2198i | 0.487148 | + | 0.580560i | 0.952490 | − | 0.304571i | \(-0.0985130\pi\) |
−0.465342 | + | 0.885131i | \(0.654069\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −59.4000 | − | 49.8425i | −0.813699 | − | 0.682774i | 0.137789 | − | 0.990462i | \(-0.456001\pi\) |
−0.951488 | + | 0.307687i | \(0.900445\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −118.646 | + | 171.840i | −1.58195 | + | 2.29120i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.711310 | + | 1.41633i | −0.00923779 | + | 0.0183939i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 73.2345 | + | 17.3569i | 0.927018 | + | 0.219707i | 0.666280 | − | 0.745702i | \(-0.267886\pi\) |
0.260739 | + | 0.965409i | \(0.416034\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −73.3158 | − | 34.4353i | −0.905134 | − | 0.425127i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −25.7416 | + | 108.612i | −0.310140 | + | 1.30858i | 0.565151 | + | 0.824987i | \(0.308818\pi\) |
−0.875291 | + | 0.483596i | \(0.839330\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 147.663 | + | 74.1590i | 1.73721 | + | 0.872458i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.23252 | − | 39.9757i | 0.0371554 | − | 0.459491i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 69.0322 | − | 82.2694i | 0.775643 | − | 0.924375i | −0.223085 | − | 0.974799i | \(-0.571613\pi\) |
0.998728 | + | 0.0504239i | \(0.0160572\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −108.952 | + | 91.4217i | −1.19728 | + | 1.00463i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 98.4475 | − | 88.7785i | 1.05858 | − | 0.954607i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 148.195 | − | 139.815i | 1.55994 | − | 1.47173i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 38.6405 | + | 51.9032i | 0.398356 | + | 0.535084i | 0.955367 | − | 0.295420i | \(-0.0954596\pi\) |
−0.557012 | + | 0.830505i | \(0.688052\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.00184 | − | 0.207318i | −0.0202206 | − | 0.00209412i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −64.7388 | − | 128.906i | −0.640979 | − | 1.27629i | −0.946068 | − | 0.323970i | \(-0.894982\pi\) |
0.305089 | − | 0.952324i | \(-0.401314\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −72.2711 | − | 8.44728i | −0.701661 | − | 0.0820124i | −0.242221 | − | 0.970221i | \(-0.577876\pi\) |
−0.459440 | + | 0.888209i | \(0.651950\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 107.413 | − | 176.736i | 1.02298 | − | 1.68320i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −117.357 | − | 67.7563i | −1.09680 | − | 0.633236i | −0.161419 | − | 0.986886i | \(-0.551607\pi\) |
−0.935378 | + | 0.353650i | \(0.884940\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 73.2786 | + | 126.922i | 0.672280 | + | 1.16442i | 0.977256 | + | 0.212064i | \(0.0680184\pi\) |
−0.304975 | + | 0.952360i | \(0.598648\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −47.2744 | − | 139.583i | −0.425895 | − | 1.25751i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 15.6022 | − | 6.73014i | 0.138073 | − | 0.0595588i | −0.325922 | − | 0.945397i | \(-0.605675\pi\) |
0.463995 | + | 0.885838i | \(0.346416\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.3747 | − | 212.466i | 0.107606 | − | 1.84753i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −157.580 | − | 88.2348i | −1.34684 | − | 0.754143i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −110.560 | − | 47.6910i | −0.929077 | − | 0.400765i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 117.690 | − | 27.8930i | 0.972643 | − | 0.230521i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −56.8274 | + | 72.8501i | −0.462011 | + | 0.592277i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 148.393 | − | 407.706i | 1.18714 | − | 3.26165i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 185.745 | − | 67.6057i | 1.46256 | − | 0.532328i | 0.516491 | − | 0.856293i | \(-0.327238\pi\) |
0.946069 | + | 0.323965i | \(0.105016\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 20.0301 | − | 5.50856i | 0.155272 | − | 0.0427020i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −19.7774 | + | 1.15190i | −0.150972 | + | 0.00879313i | −0.133465 | − | 0.991054i | \(-0.542610\pi\) |
−0.0175078 | + | 0.999847i | \(0.505573\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −101.881 | + | 107.988i | −0.766025 | + | 0.811939i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 258.191 | + | 48.0191i | 1.91252 | + | 0.355697i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −223.265 | + | 66.8411i | −1.62967 | + | 0.487891i | −0.965655 | − | 0.259829i | \(-0.916334\pi\) |
−0.664015 | + | 0.747720i | \(0.731149\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.44861 | − | 2.92590i | 0.0320044 | − | 0.0210496i | −0.533406 | − | 0.845859i | \(-0.679088\pi\) |
0.565410 | + | 0.824810i | \(0.308718\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 91.9891 | + | 129.551i | 0.652405 | + | 0.918804i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.41910 | − | 0.779207i | −0.0309028 | − | 0.00544900i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 22.5799 | + | 128.057i | 0.155723 | + | 0.883150i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.73684 | + | 3.27254i | −0.0118153 | + | 0.0222622i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 192.606 | + | 57.6624i | 1.29266 | + | 0.386996i | 0.858023 | − | 0.513612i | \(-0.171693\pi\) |
0.434633 | + | 0.900608i | \(0.356878\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 117.886 | − | 13.7789i | 0.780703 | − | 0.0912511i | 0.283600 | − | 0.958943i | \(-0.408471\pi\) |
0.497103 | + | 0.867692i | \(0.334397\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.88069 | − | 152.740i | 0.0449719 | − | 0.998301i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −236.181 | + | 359.095i | −1.52375 | + | 2.31674i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −63.5438 | + | 85.3542i | −0.404738 | + | 0.543657i | −0.957028 | − | 0.289994i | \(-0.906347\pi\) |
0.552290 | + | 0.833652i | \(0.313754\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −69.4359 | − | 27.0575i | −0.436704 | − | 0.170173i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 155.084i | 0.963254i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −127.040 | −0.779388 | −0.389694 | − | 0.920944i | \(-0.627419\pi\) | ||||
−0.389694 | + | 0.920944i | \(0.627419\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.44982 | − | 0.988152i | 0.0390898 | − | 0.00598880i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −100.508 | − | 74.8255i | −0.601845 | − | 0.448057i | 0.252620 | − | 0.967565i | \(-0.418708\pi\) |
−0.854465 | + | 0.519509i | \(0.826115\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −195.235 | − | 128.408i | −1.15524 | − | 0.759811i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −174.069 | − | 72.3845i | −1.01795 | − | 0.423301i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −12.5925 | − | 107.736i | −0.0727889 | − | 0.622749i | −0.979564 | − | 0.201134i | \(-0.935537\pi\) |
0.906775 | − | 0.421615i | \(-0.138537\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −141.494 | + | 472.623i | −0.808538 | + | 2.70070i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −67.2667 | + | 42.1042i | −0.380038 | + | 0.237877i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 174.081 | − | 30.6952i | 0.972521 | − | 0.171482i | 0.335257 | − | 0.942127i | \(-0.391177\pi\) |
0.637264 | + | 0.770645i | \(0.280066\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.6742 | − | 88.8926i | 0.0865976 | − | 0.491120i | −0.910403 | − | 0.413723i | \(-0.864228\pi\) |
0.997000 | − | 0.0773965i | \(-0.0246607\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 155.329 | + | 71.1908i | 0.848794 | + | 0.389021i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 262.560 | + | 399.203i | 1.41924 | + | 2.15785i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.08953 | − | 3.63928i | −0.00582635 | − | 0.0194614i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −189.857 | − | 23.9924i | −1.00453 | − | 0.126944i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.65325 | − | 9.10737i | −0.0505406 | − | 0.0476826i | 0.660557 | − | 0.750776i | \(-0.270320\pi\) |
−0.711098 | + | 0.703093i | \(0.751802\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8605 | + | 186.468i | 0.0562721 | + | 0.966155i | 0.901781 | + | 0.432194i | \(0.142260\pi\) |
−0.845509 | + | 0.533962i | \(0.820703\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 566.579 | + | 147.826i | 2.90553 | + | 0.758081i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.6800 | + | 40.3330i | 0.0745179 | + | 0.204736i | 0.971359 | − | 0.237617i | \(-0.0763662\pi\) |
−0.896841 | + | 0.442353i | \(0.854144\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −189.630 | − | 69.0198i | −0.952917 | − | 0.346833i | −0.181663 | − | 0.983361i | \(-0.558148\pi\) |
−0.771254 | + | 0.636528i | \(0.780370\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −28.9632 | + | 207.230i | −0.144096 | + | 1.03099i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −21.8515 | − | 92.1989i | −0.107643 | − | 0.454182i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 118.648 | − | 275.058i | 0.578773 | − | 1.34175i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −184.149 | + | 69.7824i | −0.889608 | + | 0.337113i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.67609 | − | 0.272351i | −0.0223736 | − | 0.00130311i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −43.5439 | − | 100.946i | −0.206369 | − | 0.478417i | 0.783326 | − | 0.621612i | \(-0.213522\pi\) |
−0.989695 | + | 0.143195i | \(0.954263\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −31.6022 | + | 158.302i | −0.148367 | + | 0.743203i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −58.3292 | + | 33.6764i | −0.271298 | + | 0.156634i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 156.596 | − | 271.233i | 0.721642 | − | 1.24992i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.23568 | − | 232.565i | 0.0239072 | − | 1.06194i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 39.5763 | − | 338.597i | 0.179078 | − | 1.53211i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 219.811 | − | 110.393i | 0.985698 | − | 0.495036i | 0.118475 | − | 0.992957i | \(-0.462199\pi\) |
0.867222 | + | 0.497921i | \(0.165903\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −624.867 | + | 44.6521i | −2.77719 | + | 0.198454i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −306.159 | + | 227.927i | −1.34872 | + | 1.00408i | −0.351015 | + | 0.936370i | \(0.614163\pi\) |
−0.997705 | + | 0.0677147i | \(0.978429\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 235.591 | + | 249.712i | 1.02878 | + | 1.09045i | 0.995852 | + | 0.0909882i | \(0.0290026\pi\) |
0.0329307 | + | 0.999458i | \(0.489516\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.65009 | + | 0.992113i | −0.0201303 | + | 0.00429486i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 252.865 | + | 301.353i | 1.08526 | + | 1.29336i | 0.953273 | + | 0.302110i | \(0.0976909\pi\) |
0.131986 | + | 0.991252i | \(0.457865\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −394.626 | − | 331.131i | −1.67926 | − | 1.40907i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 96.7672 | + | 204.003i | 0.408300 | + | 0.860770i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −46.1353 | + | 91.8629i | −0.193035 | + | 0.384363i | −0.969240 | − | 0.246116i | \(-0.920846\pi\) |
0.776206 | + | 0.630480i | \(0.217142\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −218.503 | − | 51.7861i | −0.906650 | − | 0.214880i | −0.249265 | − | 0.968435i | \(-0.580189\pi\) |
−0.657385 | + | 0.753555i | \(0.728337\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −56.9402 | − | 236.235i | −0.234322 | − | 0.972159i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.77015 | − | 11.6882i | 0.0113067 | − | 0.0477069i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −375.623 | − | 188.645i | −1.52074 | − | 0.763745i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −302.552 | + | 143.513i | −1.21507 | + | 0.576359i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 62.0303 | − | 73.9248i | 0.247133 | − | 0.294521i | −0.628191 | − | 0.778059i | \(-0.716204\pi\) |
0.875323 | + | 0.483538i | \(0.160649\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.74818 | + | 3.14510i | −0.0148150 | + | 0.0124312i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 103.435 | + | 484.805i | 0.405626 | + | 1.90119i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −116.548 | + | 109.957i | −0.453495 | + | 0.427850i | −0.878793 | − | 0.477203i | \(-0.841651\pi\) |
0.425298 | + | 0.905053i | \(0.360169\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −207.915 | − | 279.278i | −0.802759 | − | 1.07829i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 99.6459 | − | 67.4332i | 0.381785 | − | 0.258365i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 196.054 | + | 390.375i | 0.745452 | + | 1.48432i | 0.870501 | + | 0.492166i | \(0.163795\pi\) |
−0.125049 | + | 0.992151i | \(0.539909\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 239.980 | + | 28.0496i | 0.905584 | + | 0.105848i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 322.104 | + | 7.25145i | 1.20638 | + | 0.0271590i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −317.324 | − | 183.207i | −1.17964 | − | 0.681068i | −0.223712 | − | 0.974655i | \(-0.571817\pi\) |
−0.955932 | + | 0.293587i | \(0.905151\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 240.973 | + | 417.378i | 0.889200 | + | 1.54014i | 0.840822 | + | 0.541311i | \(0.182072\pi\) |
0.0483780 | + | 0.998829i | \(0.484595\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −418.425 | − | 83.5310i | −1.53269 | − | 0.305974i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −14.2922 | + | 6.16506i | −0.0519717 | + | 0.0224184i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.33521 | − | 160.279i | 0.0337011 | − | 0.578626i | −0.938616 | − | 0.344962i | \(-0.887892\pi\) |
0.972318 | − | 0.233663i | \(-0.0750713\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 392.529 | + | 63.8993i | 1.40691 | + | 0.229030i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 180.072 | + | 77.6754i | 0.640825 | + | 0.276425i | 0.691595 | − | 0.722285i | \(-0.256908\pi\) |
−0.0507699 | + | 0.998710i | \(0.516168\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −41.1308 | + | 9.74818i | −0.145339 | + | 0.0344459i | −0.302641 | − | 0.953105i | \(-0.597868\pi\) |
0.157303 | + | 0.987550i | \(0.449720\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 605.335 | + | 84.6039i | 2.12398 | + | 0.296856i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −74.6574 | + | 205.120i | −0.260130 | + | 0.714702i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.372917 | + | 0.135731i | −0.00129037 | + | 0.000469656i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −49.0076 | + | 187.834i | −0.168411 | + | 0.645477i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 144.509 | − | 8.41666i | 0.493203 | − | 0.0287258i | 0.190259 | − | 0.981734i | \(-0.439067\pi\) |
0.302945 | + | 0.953008i | \(0.402030\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 176.565 | − | 187.148i | 0.598524 | − | 0.634398i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.27043 | − | 5.07517i | −0.0110116 | − | 0.0170881i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −420.633 | + | 125.929i | −1.40680 | + | 0.421168i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 41.0050 | − | 26.9694i | 0.136229 | − | 0.0895995i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 180.302 | − | 393.397i | 0.595057 | − | 1.29834i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −545.567 | − | 96.1981i | −1.78874 | − | 0.315404i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 19.9945 | + | 113.395i | 0.0651288 | + | 0.369364i | 0.999900 | + | 0.0141144i | \(0.00449292\pi\) |
−0.934772 | + | 0.355249i | \(0.884396\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −115.817 | − | 185.032i | −0.374811 | − | 0.598808i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −185.156 | − | 55.4321i | −0.595357 | − | 0.178238i | −0.0250730 | − | 0.999686i | \(-0.507982\pi\) |
−0.570284 | + | 0.821447i | \(0.693167\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 260.741 | − | 30.4762i | 0.833038 | − | 0.0973681i | 0.311127 | − | 0.950368i | \(-0.399294\pi\) |
0.521911 | + | 0.853000i | \(0.325219\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 615.253 | − | 80.1331i | 1.95318 | − | 0.254391i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −66.9169 | + | 101.742i | −0.211094 | + | 0.320953i | −0.925478 | − | 0.378801i | \(-0.876337\pi\) |
0.714384 | + | 0.699754i | \(0.246707\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.78518 | − | 2.39792i | 0.00559619 | − | 0.00751699i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −61.5657 | − | 401.849i | −0.191793 | − | 1.25187i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 355.848i | − | 1.10170i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1396.79 | −4.29781 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −159.637 | + | 409.667i | −0.488188 | + | 1.25280i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 301.103 | + | 224.163i | 0.915207 | + | 0.681346i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 245.574 | + | 161.516i | 0.741914 | + | 0.487965i | 0.863332 | − | 0.504637i | \(-0.168374\pi\) |
−0.121417 | + | 0.992602i | \(0.538744\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 238.064 | − | 372.546i | 0.714907 | − | 1.11876i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −78.7587 | − | 673.824i | −0.235101 | − | 2.01141i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.2191 | + | 70.8766i | −0.0629646 | + | 0.210316i | −0.983683 | − | 0.179912i | \(-0.942419\pi\) |
0.920718 | + | 0.390228i | \(0.127604\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 45.0270 | + | 23.8973i | 0.132823 | + | 0.0704935i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.73113 | − | 1.71586i | 0.0285370 | − | 0.00503185i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.7873 | − | 333.399i | 0.171392 | − | 0.972009i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 520.589 | − | 369.649i | 1.50895 | − | 1.07145i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.93395 | − | 7.50170i | −0.0142189 | − | 0.0216187i | 0.828308 | − | 0.560272i | \(-0.189304\pi\) |
−0.842527 | + | 0.538654i | \(0.818933\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 71.6586 | + | 239.356i | 0.205326 | + | 0.685835i | 0.997175 | + | 0.0751184i | \(0.0239335\pi\) |
−0.791849 | + | 0.610717i | \(0.790881\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −89.0908 | − | 534.430i | −0.253820 | − | 1.52259i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 433.435 | + | 408.925i | 1.22786 | + | 1.15843i | 0.981951 | + | 0.189135i | \(0.0605685\pi\) |
0.245911 | + | 0.969292i | \(0.420913\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −30.4315 | − | 522.489i | −0.0857227 | − | 1.47180i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −95.7850 | − | 348.291i | −0.268305 | − | 0.975606i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 67.8611 | + | 186.447i | 0.189028 | + | 0.519351i | 0.997615 | − | 0.0690264i | \(-0.0219893\pi\) |
−0.808587 | + | 0.588377i | \(0.799767\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −73.0719 | − | 26.5960i | −0.202415 | − | 0.0736731i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 286.100 | + | 223.175i | 0.788154 | + | 0.614807i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 173.933 | + | 733.882i | 0.476530 | + | 2.01064i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −118.085 | + | 273.753i | −0.321758 | + | 0.745920i | 0.678181 | + | 0.734895i | \(0.262769\pi\) |
−0.999939 | + | 0.0110248i | \(0.996491\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −277.155 | + | 3.64748i | −0.751098 | + | 0.00988477i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −175.763 | − | 10.2370i | −0.473755 | − | 0.0275931i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 116.880 | + | 270.958i | 0.313351 | + | 0.726429i | 1.00000 | 0.000560420i | \(-0.000178387\pi\) | |
−0.686649 | + | 0.726989i | \(0.740919\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1232.83 | − | 417.537i | 3.28754 | − | 1.11343i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 232.327 | − | 134.134i | 0.616251 | − | 0.355793i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.9982 | − | 58.8866i | 0.0897051 | − | 0.155374i | −0.817681 | − | 0.575671i | \(-0.804741\pi\) |
0.907386 | + | 0.420297i | \(0.138074\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 506.747 | + | 307.982i | 1.33005 | + | 0.808352i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −28.1065 | + | 240.466i | −0.0733851 | + | 0.627850i | 0.905631 | + | 0.424067i | \(0.139398\pi\) |
−0.979016 | + | 0.203783i | \(0.934676\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.7761 | − | 6.91862i | 0.0357821 | − | 0.0179705i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 50.4748 | + | 36.5547i | 0.130426 | + | 0.0944565i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −281.915 | + | 209.878i | −0.724718 | + | 0.539532i | −0.895111 | − | 0.445844i | \(-0.852904\pi\) |
0.170393 | + | 0.985376i | \(0.445496\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −255.089 | − | 270.378i | −0.652400 | − | 0.691504i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −39.8019 | − | 44.1368i | −0.101277 | − | 0.112307i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −470.556 | − | 560.787i | −1.19128 | − | 1.41971i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −497.642 | − | 417.571i | −1.25351 | − | 1.05182i | −0.996343 | − | 0.0854486i | \(-0.972768\pi\) |
−0.257164 | − | 0.966368i | \(-0.582788\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −443.939 | − | 35.8979i | −1.11263 | − | 0.0899696i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.55912 | + | 3.10446i | −0.00388808 | + | 0.00774180i | −0.895568 | − | 0.444924i | \(-0.853231\pi\) |
0.891680 | + | 0.452666i | \(0.149527\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 862.820 | + | 204.492i | 2.14099 | + | 0.507424i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 371.994 | + | 694.504i | 0.918504 | + | 1.71482i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.53329 | − | 10.6888i | 0.00622430 | − | 0.0262624i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 290.223 | + | 145.755i | 0.709591 | + | 0.356370i | 0.766707 | − | 0.641997i | \(-0.221894\pi\) |
−0.0571155 | + | 0.998368i | \(0.518190\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −575.350 | − | 397.248i | −1.39988 | − | 0.966541i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −120.514 | + | 143.623i | −0.291800 | + | 0.347754i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 831.690 | − | 697.871i | 2.00407 | − | 1.68162i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 15.1957 | + | 4.92457i | 0.0364404 | + | 0.0118095i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −469.091 | + | 442.564i | −1.11955 | + | 1.05624i | −0.121576 | + | 0.992582i | \(0.538795\pi\) |
−0.997972 | + | 0.0636571i | \(0.979724\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.0386 | + | 13.4842i | 0.0238446 | + | 0.0320289i | 0.813886 | − | 0.581025i | \(-0.197348\pi\) |
−0.790041 | + | 0.613054i | \(0.789941\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −130.688 | + | 458.400i | −0.308956 | + | 1.08369i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −530.706 | − | 1056.72i | −1.24872 | − | 2.48641i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 400.952 | + | 46.8645i | 0.938997 | + | 0.109753i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.46681 | − | 11.8068i | −0.0150741 | − | 0.0275217i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −270.027 | − | 155.900i | −0.626514 | − | 0.361718i | 0.152887 | − | 0.988244i | \(-0.451143\pi\) |
−0.779401 | + | 0.626526i | \(0.784476\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 67.0785 | + | 116.183i | 0.154916 | + | 0.268322i | 0.933028 | − | 0.359803i | \(-0.117156\pi\) |
−0.778113 | + | 0.628125i | \(0.783823\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −257.412 | + | 293.112i | −0.591751 | + | 0.673821i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −420.845 | + | 181.535i | −0.963033 | + | 0.415412i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 22.8851 | − | 392.921i | 0.0521300 | − | 0.895037i | −0.866317 | − | 0.499494i | \(-0.833519\pi\) |
0.918447 | − | 0.395543i | \(-0.129444\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.9194 | + | 2.07391i | −0.0247607 | + | 0.00470275i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 617.609 | + | 266.410i | 1.39415 | + | 0.601378i | 0.954884 | − | 0.296979i | \(-0.0959791\pi\) |
0.439266 | + | 0.898357i | \(0.355238\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1016.43 | + | 240.899i | −2.28412 | + | 0.541345i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 226.372 | + | 559.064i | 0.506426 | + | 1.25070i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 204.853 | − | 562.829i | 0.456243 | − | 1.25352i | −0.472019 | − | 0.881588i | \(-0.656475\pi\) |
0.928262 | − | 0.371928i | \(-0.121303\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.47154 | + | 2.35545i | −0.0143493 | + | 0.00522272i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 253.428 | + | 250.115i | 0.559443 | + | 0.552129i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1381.04 | − | 80.4367i | 3.03526 | − | 0.176784i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 204.008 | − | 216.236i | 0.446408 | − | 0.473165i | −0.464620 | − | 0.885510i | \(-0.653809\pi\) |
0.911027 | + | 0.412346i | \(0.135290\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 370.466 | − | 270.456i | 0.807116 | − | 0.589228i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 516.453 | − | 154.616i | 1.12029 | − | 0.335392i | 0.327477 | − | 0.944859i | \(-0.393802\pi\) |
0.792811 | + | 0.609467i | \(0.208617\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 434.060 | − | 285.485i | 0.937494 | − | 0.616599i | 0.0138717 | − | 0.999904i | \(-0.495584\pi\) |
0.923622 | + | 0.383304i | \(0.125214\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1283.73 | + | 120.829i | −2.76072 | + | 0.259847i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 630.053 | + | 111.095i | 1.34915 | + | 0.237891i | 0.801088 | − | 0.598547i | \(-0.204255\pi\) |
0.548061 | + | 0.836438i | \(0.315366\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 85.8430 | + | 486.840i | 0.183034 | + | 1.03804i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −319.028 | + | 11.3841i | −0.677342 | + | 0.0241701i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.48340 | + | 0.444101i | 0.00313615 | + | 0.000938903i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1448.17 | + | 169.267i | −3.04878 | + | 0.356351i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −66.9318 | − | 213.310i | −0.140318 | − | 0.447191i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −190.208 | + | 289.197i | −0.397094 | + | 0.603752i | −0.977592 | − | 0.210510i | \(-0.932488\pi\) |
0.580498 | + | 0.814262i | \(0.302858\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 588.655 | − | 790.701i | 1.22382 | − | 1.64387i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −363.044 | + | 290.961i | −0.751644 | + | 0.602403i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 629.382i | − | 1.29769i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −918.147 | −1.88531 | −0.942656 | − | 0.333766i | \(-0.891680\pi\) | ||||
−0.942656 | + | 0.333766i | \(0.891680\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −238.347 | − | 297.395i | −0.487416 | − | 0.608170i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 173.412 | + | 129.100i | 0.353181 | + | 0.262934i | 0.759098 | − | 0.650976i | \(-0.225640\pi\) |
−0.405917 | + | 0.913910i | \(0.633048\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 189.749 | + | 124.800i | 0.384887 | + | 0.253144i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 14.4141 | + | 13.2448i | 0.0291193 | + | 0.0267572i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 44.2752 | + | 378.799i | 0.0890849 | + | 0.762170i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 249.130 | − | 832.151i | 0.499258 | − | 1.66764i | −0.222059 | − | 0.975033i | \(-0.571278\pi\) |
0.721317 | − | 0.692605i | \(-0.243537\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −13.4053 | − | 375.669i | −0.0267570 | − | 0.749838i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −175.584 | + | 30.9602i | −0.349073 | + | 0.0615510i | −0.345436 | − | 0.938442i | \(-0.612269\pi\) |
−0.00363740 | + | 0.999993i | \(0.501158\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −243.638 | + | 1381.74i | −0.482451 | + | 2.73611i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −65.6929 | − | 697.949i | −0.129572 | − | 1.37662i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −72.3197 | − | 109.957i | −0.142082 | − | 0.216025i | 0.757435 | − | 0.652910i | \(-0.226452\pi\) |
−0.899517 | + | 0.436885i | \(0.856082\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −157.623 | − | 526.498i | −0.308460 | − | 1.03033i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −157.132 | − | 543.292i | −0.306300 | − | 1.05905i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 514.790 | + | 485.679i | 0.999591 | + | 0.943066i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.688630 | + | 11.8233i | 0.00133197 | + | 0.0228691i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 228.578 | − | 231.606i | 0.440421 | − | 0.446255i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.11890 | + | 14.0641i | 0.00982514 | + | 0.0269943i | 0.944508 | − | 0.328488i | \(-0.106539\pi\) |
−0.934683 | + | 0.355482i | \(0.884317\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −106.983 | − | 38.9386i | −0.204556 | − | 0.0744524i | 0.237710 | − | 0.971336i | \(-0.423603\pi\) |
−0.442266 | + | 0.896884i | \(0.645825\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1371.85 | + | 555.481i | −2.61305 | + | 1.05806i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 173.120 | + | 730.452i | 0.328502 | + | 1.38606i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.8951 | − | 46.1220i | 0.0376089 | − | 0.0871872i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −224.766 | − | 78.4744i | −0.423289 | − | 0.147786i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −616.967 | − | 35.9342i | −1.15754 | − | 0.0674188i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 522.063 | + | 1210.28i | 0.975819 | + | 2.26220i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 398.459 | + | 349.927i | 0.742009 | + | 0.651634i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.239159 | + | 0.138079i | −0.000443710 | + | 0.000256176i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 188.006 | − | 325.636i | 0.347516 | − | 0.601915i | −0.638292 | − | 0.769795i | \(-0.720359\pi\) |
0.985808 | + | 0.167879i | \(0.0536919\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 237.501 | − | 130.083i | 0.437386 | − | 0.239564i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 165.491 | − | 1415.86i | 0.303653 | − | 2.59792i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 319.183 | − | 160.300i | 0.583515 | − | 0.293052i | −0.132448 | − | 0.991190i | \(-0.542284\pi\) |
0.715964 | + | 0.698137i | \(0.245988\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 124.767 | + | 497.183i | 0.227262 | + | 0.905616i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 224.618 | − | 167.222i | 0.407656 | − | 0.303488i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 366.069 | + | 388.010i | 0.661969 | + | 0.701646i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −441.913 | + | 1363.60i | −0.796240 | + | 2.45694i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 11.5450 | + | 13.7588i | 0.0207271 | + | 0.0247016i | 0.776308 | − | 0.630353i | \(-0.217090\pi\) |
−0.755581 | + | 0.655055i | \(0.772646\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 106.445 | + | 89.3183i | 0.190421 | + | 0.159782i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.47525 | − | 9.37836i | 0.0115423 | − | 0.0167172i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 354.677 | − | 706.219i | 0.629976 | − | 1.25439i | −0.321571 | − | 0.946885i | \(-0.604211\pi\) |
0.951548 | − | 0.307501i | \(-0.0994927\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −160.818 | − | 38.1146i | −0.284634 | − | 0.0674595i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −300.035 | − | 489.459i | −0.529162 | − | 0.863244i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.8659 | − | 92.2596i | 0.0384287 | − | 0.162143i | −0.950447 | − | 0.310886i | \(-0.899374\pi\) |
0.988876 | + | 0.148742i | \(0.0475225\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −894.561 | − | 449.265i | −1.56666 | − | 0.786804i | −0.567330 | − | 0.823491i | \(-0.692023\pi\) |
−0.999327 | + | 0.0366865i | \(0.988320\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.20898 | − | 39.6846i | 0.00560032 | − | 0.0692576i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −978.999 | + | 1166.73i | −1.70261 | + | 2.02909i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 278.455 | − | 233.651i | 0.482590 | − | 0.404941i | −0.368772 | − | 0.929520i | \(-0.620222\pi\) |
0.851362 | + | 0.524579i | \(0.175777\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −416.137 | + | 375.266i | −0.718716 | + | 0.648127i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −575.450 | + | 542.909i | −0.990447 | + | 0.934438i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.31706 | − | 4.45559i | −0.00568964 | − | 0.00764251i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 716.934 | + | 1603.68i | 1.22553 | + | 2.74133i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −115.552 | − | 230.083i | −0.196852 | − | 0.391965i | 0.773451 | − | 0.633856i | \(-0.218529\pi\) |
−0.970303 | + | 0.241891i | \(0.922232\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 919.340 | + | 107.455i | 1.56085 | + | 0.182437i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −66.8758 | + | 110.036i | −0.113157 | + | 0.186186i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 895.273 | + | 516.886i | 1.50974 | + | 0.871646i | 0.999936 | + | 0.0113533i | \(0.00361395\pi\) |
0.509800 | + | 0.860293i | \(0.329719\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 585.578 | + | 1014.25i | 0.984164 | + | 1.70462i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −194.203 | − | 573.407i | −0.325298 | − | 0.960481i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 277.319 | − | 119.624i | 0.462970 | − | 0.199706i | −0.151801 | − | 0.988411i | \(-0.548507\pi\) |
0.614772 | + | 0.788705i | \(0.289248\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −32.1314 | + | 551.675i | −0.0534632 | + | 0.917928i | 0.859819 | + | 0.510600i | \(0.170577\pi\) |
−0.913282 | + | 0.407328i | \(0.866460\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −539.454 | + | 320.993i | −0.894618 | + | 0.532326i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1080.22 | − | 465.961i | −1.78549 | − | 0.770183i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 323.685 | − | 76.7148i | 0.533254 | − | 0.126384i | 0.0448379 | − | 0.998994i | \(-0.485723\pi\) |
0.488416 | + | 0.872611i | \(0.337575\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 174.837 | − | 224.132i | 0.287088 | − | 0.368034i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −363.498 | + | 998.702i | −0.594922 | + | 1.63454i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.7463 | + | 5.00323i | −0.0224246 | + | 0.00816188i | −0.353208 | − | 0.935545i | \(-0.614909\pi\) |
0.330784 | + | 0.943707i | \(0.392687\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 866.500 | − | 238.300i | 1.40894 | − | 0.387479i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −414.972 | + | 24.1694i | −0.672564 | + | 0.0391724i | −0.391029 | − | 0.920378i | \(-0.627881\pi\) |
−0.281535 | + | 0.959551i | \(0.590844\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −287.903 | + | 305.159i | −0.465109 | + | 0.492987i | −0.916889 | − | 0.399143i | \(-0.869308\pi\) |
0.451780 | + | 0.892130i | \(0.350789\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −508.848 | − | 300.161i | −0.819401 | − | 0.483352i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 729.202 | − | 218.309i | 1.17047 | − | 0.350415i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2071.95 | + | 1362.74i | −3.31512 | + | 2.18039i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −8.13548 | − | 11.4575i | −0.0129752 | − | 0.0182735i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 821.853 | + | 144.915i | 1.30660 | + | 0.230389i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.6743 | + | 156.949i | 0.0438578 | + | 0.248730i | 0.998852 | − | 0.0478930i | \(-0.0152506\pi\) |
−0.954995 | + | 0.296623i | \(0.904140\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 154.615 | − | 291.324i | 0.244258 | − | 0.460228i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1841.85 | − | 551.413i | −2.90055 | − | 0.868366i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −24.6142 | + | 2.87699i | −0.0386408 | + | 0.00451646i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −429.869 | + | 223.019i | −0.672721 | + | 0.349013i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −265.484 | + | 403.649i | −0.414172 | + | 0.629718i | −0.980975 | − | 0.194136i | \(-0.937810\pi\) |
0.566803 | + | 0.823853i | \(0.308180\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −259.780 | + | 348.945i | −0.404012 | + | 0.542683i | −0.956841 | − | 0.290612i | \(-0.906141\pi\) |
0.552829 | + | 0.833295i | \(0.313548\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −188.269 | − | 73.3639i | −0.291890 | − | 0.113743i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 1108.99i | − | 1.71405i | −0.515275 | − | 0.857025i | \(-0.672310\pi\) | ||
0.515275 | − | 0.857025i | \(-0.327690\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.91520 | −0.00911432 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 928.741 | − | 142.289i | 1.42664 | − | 0.218569i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −376.255 | − | 280.112i | −0.576195 | − | 0.428961i | 0.269214 | − | 0.963080i | \(-0.413236\pi\) |
−0.845409 | + | 0.534119i | \(0.820643\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 160.992 | + | 105.886i | 0.245790 | + | 0.161658i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 554.246 | − | 424.070i | 0.843601 | − | 0.645464i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.732907 | − | 6.27042i | −0.00111215 | − | 0.00951506i | 0.992671 | − | 0.120849i | \(-0.0385617\pi\) |
−0.993783 | + | 0.111334i | \(0.964488\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −311.588 | + | 1040.78i | −0.471388 | + | 1.57455i | 0.310149 | + | 0.950688i | \(0.399621\pi\) |
−0.781537 | + | 0.623859i | \(0.785564\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 866.890 | − | 542.612i | 1.30753 | − | 0.818420i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1422.10 | − | 250.754i | 2.13849 | − | 0.377074i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 50.7953 | − | 288.074i | 0.0761549 | − | 0.431896i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 670.823 | + | 307.452i | 1.00272 | + | 0.459570i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.99864 | + | 10.6409i | 0.0104302 | + | 0.0158583i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 305.461 | + | 1020.31i | 0.453879 | + | 1.51606i | 0.812715 | + | 0.582662i | \(0.197989\pi\) |
−0.358835 | + | 0.933401i | \(0.616826\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1276.87 | − | 1379.01i | −1.89166 | − | 2.04298i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 54.6182 | + | 51.5296i | 0.0806768 | + | 0.0761146i | 0.725524 | − | 0.688197i | \(-0.241598\pi\) |
−0.644847 | + | 0.764312i | \(0.723079\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.6666 | + | 457.847i | 0.0392733 | + | 0.674296i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1107.97 | − | 289.079i | −1.62697 | − | 0.424492i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 244.956 | + | 673.012i | 0.358648 | + | 0.985376i | 0.979499 | + | 0.201448i | \(0.0645647\pi\) |
−0.620852 | + | 0.783928i | \(0.713213\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2130.13 | + | 775.304i | 3.10968 | + | 1.13183i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −142.560 | + | 1020.01i | −0.207511 | + | 1.48472i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −114.955 | − | 485.034i | −0.166843 | − | 0.703967i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −388.694 | + | 901.094i | −0.562509 | + | 1.30404i | 0.365266 | + | 0.930903i | \(0.380978\pi\) |
−0.927775 | + | 0.373140i | \(0.878281\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −11.0468 | − | 9.02430i | −0.0159405 | − | 0.0130221i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −51.7024 | − | 3.01132i | −0.0743919 | − | 0.00433283i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −207.229 | − | 480.412i | −0.297316 | − | 0.689257i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −231.040 | + | 1157.33i | −0.330530 | + | 1.65569i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −298.741 | + | 172.478i | −0.426163 | + | 0.246046i | −0.697711 | − | 0.716379i | \(-0.745798\pi\) |
0.271547 | + | 0.962425i | \(0.412465\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 514.490 | − | 891.122i | 0.731849 | − | 1.26760i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 34.7834 | − | 1545.05i | 0.0493382 | − | 2.19156i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 118.692 | − | 1015.48i | 0.167881 | − | 1.43632i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1193.71 | − | 599.502i | 1.68365 | − | 0.845559i | 0.691231 | − | 0.722634i | \(-0.257069\pi\) |
0.992416 | − | 0.122926i | \(-0.0392277\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −296.011 | + | 609.267i | −0.416330 | + | 0.856915i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 775.555 | − | 577.380i | 1.08774 | − | 0.809789i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 29.9516 | + | 31.7469i | 0.0418904 | + | 0.0444012i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −301.603 | + | 64.3480i | −0.420646 | + | 0.0897462i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −211.094 | − | 251.572i | −0.293594 | − | 0.349892i | 0.599003 | − | 0.800747i | \(-0.295564\pi\) |
−0.892597 | + | 0.450855i | \(0.851119\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −395.065 | − | 331.499i | −0.547940 | − | 0.459776i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −288.715 | − | 608.663i | −0.399329 | − | 0.841857i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 417.631 | − | 831.573i | 0.576043 | − | 1.14700i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −409.726 | − | 97.1068i | −0.563584 | − | 0.133572i | −0.0610585 | − | 0.998134i | \(-0.519448\pi\) |
−0.502526 | + | 0.864562i | \(0.667596\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 446.186 | − | 576.506i | 0.612052 | − | 0.790818i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −27.1290 | + | 114.466i | −0.0371122 | + | 0.156589i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −251.183 | − | 126.149i | −0.342677 | − | 0.172099i | 0.269134 | − | 0.963103i | \(-0.413263\pi\) |
−0.611811 | + | 0.791004i | \(0.709559\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 32.5587 | − | 15.4440i | 0.0442976 | − | 0.0210122i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.0254 | + | 11.9478i | −0.0136030 | + | 0.0162114i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 255.809 | − | 214.649i | 0.346155 | − | 0.290459i | −0.453089 | − | 0.891465i | \(-0.649678\pi\) |
0.799244 | + | 0.601007i | \(0.205233\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −263.116 | − | 1233.24i | −0.355082 | − | 1.66429i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 877.768 | − | 828.131i | 1.18138 | − | 1.11458i | 0.190246 | − | 0.981737i | \(-0.439072\pi\) |
0.991137 | − | 0.132841i | \(-0.0424099\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1167.78 | − | 1568.59i | −1.56748 | − | 2.10550i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −903.590 | − | 439.007i | −1.20963 | − | 0.587693i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −431.057 | − | 858.305i | −0.575510 | − | 1.14593i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 63.6304 | + | 7.43733i | 0.0847275 | + | 0.00990323i | 0.158351 | − | 0.987383i | \(-0.449382\pi\) |
−0.0736235 | + | 0.997286i | \(0.523456\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 289.433 | + | 6.51593i | 0.384373 | + | 0.00865330i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −999.772 | − | 577.219i | −1.32420 | − | 0.764528i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −77.6595 | − | 134.510i | −0.102589 | − | 0.177689i | 0.810162 | − | 0.586206i | \(-0.199379\pi\) |
−0.912750 | + | 0.408518i | \(0.866046\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −14.3947 | − | 2.87364i | −0.0189653 | − | 0.00378609i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.1167 | − | 12.9911i | 0.0395751 | − | 0.0170710i | −0.376200 | − | 0.926538i | \(-0.622770\pi\) |
0.415775 | + | 0.909467i | \(0.363510\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −60.3978 | + | 1036.99i | −0.0791583 | + | 1.35910i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −940.846 | + | 1151.70i | −1.22986 | + | 1.50549i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −487.404 | − | 210.246i | −0.635468 | − | 0.274114i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −44.2413 | + | 10.4854i | −0.0575309 | + | 0.0136351i | −0.259281 | − | 0.965802i | \(-0.583485\pi\) |
0.201750 | + | 0.979437i | \(0.435337\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −476.067 | − | 66.5369i | −0.617467 | − | 0.0862995i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 272.957 | − | 749.942i | 0.353113 | − | 0.970171i | −0.628251 | − | 0.778011i | \(-0.716229\pi\) |
0.981364 | − | 0.192159i | \(-0.0615491\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2890.32 | − | 1051.99i | 3.72944 | − | 1.35741i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 263.697 | − | 1010.69i | 0.339379 | − | 1.30075i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −644.017 | + | 37.5097i | −0.826722 | + | 0.0481511i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.25719 | + | 8.75211i | −0.0105726 | + | 0.0112063i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 344.809 | + | 106.752i | 0.440369 | + | 0.136337i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 991.529 | − | 296.844i | 1.26309 | − | 0.378146i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 853.273 | − | 561.207i | 1.08421 | − | 0.713096i | 0.123974 | − | 0.992285i | \(-0.460436\pi\) |
0.960236 | + | 0.279189i | \(0.0900657\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −546.024 | + | 1191.36i | −0.692045 | + | 1.50996i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 118.603 | + | 20.9129i | 0.149941 | + | 0.0264386i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 198.465 | + | 1125.55i | 0.250271 | + | 1.41936i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 384.575 | + | 614.407i | 0.483742 | + | 0.772839i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 683.504 | + | 204.628i | 0.857596 | + | 0.256747i | 0.685267 | − | 0.728292i | \(-0.259686\pi\) |
0.172329 | + | 0.985039i | \(0.444871\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −893.666 | + | 104.455i | −1.11848 | + | 0.130732i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 587.339 | + | 767.634i | 0.733257 | + | 0.958345i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 9.52820 | − | 14.4869i | 0.0118658 | − | 0.0180410i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 900.777 | − | 1209.95i | 1.11898 | − | 1.50305i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −166.468 | − | 1086.57i | −0.206281 | − | 1.34643i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 725.872i | 0.897245i | 0.893721 | + | 0.448623i | \(0.148085\pi\) | ||||
−0.893721 | + | 0.448623i | \(0.851915\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1619.02 | −1.99633 | −0.998166 | − | 0.0605415i | \(-0.980717\pi\) | ||||
−0.998166 | + | 0.0605415i | \(0.980717\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −524.960 | + | 1347.17i | −0.645708 | + | 1.65704i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 991.160 | + | 737.891i | 1.21615 | + | 0.905388i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 121.185 | + | 79.7045i | 0.148329 | + | 0.0975576i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −589.485 | − | 1136.23i | −0.719762 | − | 1.38734i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 100.775 | + | 862.183i | 0.122746 | + | 1.05016i | 0.904470 | + | 0.426537i | \(0.140267\pi\) |
−0.781724 | + | 0.623625i | \(0.785659\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −121.780 | + | 406.773i | −0.147971 | + | 0.494257i | −0.999551 | − | 0.0299677i | \(-0.990460\pi\) |
0.851580 | + | 0.524225i | \(0.175645\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −41.2465 | − | 21.8908i | −0.0499957 | − | 0.0265344i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1022.26 | − | 180.252i | 1.23610 | − | 0.217958i | 0.482859 | − | 0.875698i | \(-0.339598\pi\) |
0.753245 | + | 0.657740i | \(0.228487\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 156.132 | − | 885.467i | 0.188337 | − | 1.06811i | −0.733255 | − | 0.679954i | \(-0.762000\pi\) |
0.921592 | − | 0.388160i | \(-0.126889\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 392.721 | − | 278.855i | 0.472588 | − | 0.335565i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.5287 | − | 17.5285i | −0.0138399 | − | 0.0210426i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 349.547 | + | 1167.57i | 0.418619 | + | 1.39828i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 586.857 | + | 1038.78i | 0.701144 | + | 1.24107i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 157.714 | + | 148.796i | 0.187979 | + | 0.177349i | 0.774478 | − | 0.632601i | \(-0.218013\pi\) |
−0.586499 | + | 0.809950i | \(0.699494\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −38.5080 | − | 661.157i | −0.0457883 | − | 0.786156i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 156.007 | + | 567.271i | 0.185062 | + | 0.672919i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 777.374 | + | 2135.82i | 0.919970 | + | 2.52760i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 805.554 | + | 293.198i | 0.951067 | + | 0.346160i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −99.9876 | − | 77.9963i | −0.117771 | − | 0.0918684i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −247.882 | − | 1045.90i | −0.291283 | − | 1.22902i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 135.213 | − | 313.459i | 0.158514 | − | 0.367478i | −0.820388 | − | 0.571808i | \(-0.806242\pi\) |
0.978902 | + | 0.204330i | \(0.0655016\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 937.645 | + | 1575.79i | 1.09666 | + | 1.84303i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −41.5072 | − | 2.41752i | −0.0484331 | − | 0.00282091i | 0.0339112 | − | 0.999425i | \(-0.489204\pi\) |
−0.0823443 | + | 0.996604i | \(0.526241\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −609.251 | − | 1412.40i | −0.709256 | − | 1.64424i | −0.763576 | − | 0.645718i | \(-0.776558\pi\) |
0.0543199 | − | 0.998524i | \(-0.482701\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −620.244 | + | 210.066i | −0.720376 | + | 0.243979i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −663.192 | + | 382.894i | −0.768473 | + | 0.443678i | −0.832330 | − | 0.554281i | \(-0.812993\pi\) |
0.0638568 | + | 0.997959i | \(0.479660\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −527.517 | + | 913.686i | −0.609846 | + | 1.05628i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.01739 | − | 0.618329i | −0.00117346 | − | 0.000713183i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.95385 | + | 16.7163i | −0.00224839 | + | 0.0192362i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1250.75 | + | 628.149i | −1.43599 | + | 0.721181i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −531.656 | + | 237.680i | −0.608998 | + | 0.272256i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2466.64 | − | 1836.35i | 2.81902 | − | 2.09868i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −167.210 | − | 177.233i | −0.190662 | − | 0.202090i | 0.624990 | − | 0.780633i | \(-0.285103\pi\) |
−0.815652 | + | 0.578543i | \(0.803622\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 290.823 | + | 322.497i | 0.330856 | + | 0.366891i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −374.665 | − | 446.509i | −0.425273 | − | 0.506820i | 0.510280 | − | 0.860009i | \(-0.329542\pi\) |
−0.935552 | + | 0.353188i | \(0.885097\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 126.862 | + | 106.450i | 0.143671 | + | 0.120555i | 0.711791 | − | 0.702391i | \(-0.247884\pi\) |
−0.568119 | + | 0.822946i | \(0.692329\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 769.365 | + | 62.2126i | 0.869339 | + | 0.0702967i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −91.4591 | + | 182.110i | −0.103111 | + | 0.205310i | −0.939272 | − | 0.343173i | \(-0.888498\pi\) |
0.836162 | + | 0.548483i | \(0.184795\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1363.22 | + | 323.090i | 1.53344 | + | 0.363431i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.74492 | − | 17.1777i | 0.00644772 | − | 0.0192791i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −255.844 | + | 1079.49i | −0.286499 | + | 1.20883i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1536.46 | − | 771.638i | −1.71671 | − | 0.862165i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1083.96 | − | 748.419i | −1.20843 | − | 0.834358i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −379.722 | + | 452.535i | −0.422383 | + | 0.503376i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 323.269 | − | 271.255i | 0.358790 | − | 0.301060i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 140.066 | + | 45.3922i | 0.155112 | + | 0.0502682i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −638.606 | + | 602.494i | −0.705642 | + | 0.665739i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 851.074 | + | 1143.19i | 0.938339 | + | 1.26041i | 0.965400 | + | 0.260775i | \(0.0839780\pi\) |
−0.0270604 | + | 0.999634i | \(0.508615\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1259.20 | − | 315.993i | 1.38526 | − | 0.347627i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 327.664 | + | 652.433i | 0.359675 | + | 0.716172i | 0.998589 | − | 0.0531061i | \(-0.0169122\pi\) |
−0.638914 | + | 0.769279i | \(0.720616\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.7916 | − | 2.89772i | −0.0271540 | − | 0.00317384i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −798.370 | − | 1457.63i | −0.872535 | − | 1.59304i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −121.601 | − | 70.2064i | −0.132608 | − | 0.0765610i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −334.695 | − | 579.708i | −0.364194 | − | 0.630803i | 0.624452 | − | 0.781063i | \(-0.285322\pi\) |
−0.988647 | + | 0.150260i | \(0.951989\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −227.939 | + | 259.552i | −0.247491 | + | 0.281815i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −991.461 | + | 427.674i | −1.07417 | + | 0.463353i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 198.818 | − | 3413.57i | 0.214938 | − | 3.69034i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 215.861 | − | 618.269i | 0.232859 | − | 0.666956i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1235.05 | + | 532.748i | 1.32944 | + | 0.573464i | 0.937966 | − | 0.346726i | \(-0.112707\pi\) |
0.391472 | + | 0.920190i | \(0.371966\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −25.1710 | + | 5.96564i | −0.0270365 | + | 0.00640777i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −217.617 | − | 537.441i | −0.233244 | − | 0.576035i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.6377 | + | 34.7217i | −0.0135162 | + | 0.0371355i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −528.983 | + | 192.534i | −0.564549 | + | 0.205479i | −0.608499 | − | 0.793555i | \(-0.708228\pi\) |
0.0439497 | + | 0.999034i | \(0.486006\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 560.532 | + | 553.204i | 0.596946 | + | 0.589142i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1441.45 | + | 83.9549i | −1.53183 | + | 0.0892188i | −0.803207 | − | 0.595700i | \(-0.796875\pi\) |
−0.728620 | + | 0.684918i | \(0.759838\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −462.444 | + | 490.162i | −0.490396 | + | 0.519790i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1341.90 | + | 1289.94i | 1.41999 | + | 1.36501i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.61286 | + | 2.27914i | −0.00803892 | + | 0.00240670i | −0.290820 | − | 0.956778i | \(-0.593928\pi\) |
0.282781 | + | 0.959184i | \(0.408743\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1300.02 | − | 855.040i | 1.36989 | − | 0.900990i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −363.720 | + | 34.2343i | −0.382460 | + | 0.0359982i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 442.909 | + | 78.0969i | 0.464753 | + | 0.0819484i | 0.401121 | − | 0.916025i | \(-0.368621\pi\) |
0.0636316 | + | 0.997973i | \(0.479732\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 22.4154 | + | 127.124i | 0.0234717 | + | 0.133114i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.96269 | − | 0.319823i | 0.00936540 | − | 0.000334193i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1582.42 | − | 473.747i | −1.65008 | − | 0.494001i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −984.910 | + | 115.119i | −1.02488 | + | 0.119791i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 825.203 | − | 898.051i | 0.856909 | − | 0.932556i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 998.333 | − | 1517.89i | 1.03454 | − | 1.57294i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −530.640 | + | 712.773i | −0.548748 | + | 0.737097i | −0.986816 | − | 0.161845i | \(-0.948256\pi\) |
0.438068 | + | 0.898942i | \(0.355663\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 833.024 | − | 667.625i | 0.859674 | − | 0.688983i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 815.003i | 0.839344i | 0.907676 | + | 0.419672i | \(0.137855\pi\) | ||||
−0.907676 | + | 0.419672i | \(0.862145\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 37.7388 | 0.0387860 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2620.58 | − | 3269.81i | −2.68778 | − | 3.35365i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −276.459 | − | 205.816i | −0.282967 | − | 0.210661i | 0.446312 | − | 0.894877i | \(-0.352737\pi\) |
−0.729279 | + | 0.684216i | \(0.760145\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.0645 | + | 13.1966i | 0.0204949 | + | 0.0134797i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1258.51 | + | 394.893i | −1.28289 | + | 0.402541i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −206.389 | − | 1765.77i | −0.209958 | − | 1.79631i | −0.529058 | − | 0.848586i | \(-0.677455\pi\) |
0.319100 | − | 0.947721i | \(-0.396619\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 119.735 | − | 399.942i | 0.121558 | − | 0.406032i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 40.1597 | + | 1125.43i | 0.0406886 | + | 1.14025i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 149.214 | − | 26.3104i | 0.150873 | − | 0.0266031i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.12642 | − | 23.4021i | 0.00416390 | − | 0.0236146i | −0.982655 | − | 0.185443i | \(-0.940628\pi\) |
0.986819 | + | 0.161828i | \(0.0517391\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 82.6309 | + | 877.905i | 0.0832134 | + | 0.884094i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1078.59 | + | 1639.92i | 1.08401 | + | 1.64816i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.2234 | + | 67.5509i | 0.0202843 | + | 0.0677542i | 0.967532 | − | 0.252747i | \(-0.0813340\pi\) |
−0.947248 | + | 0.320501i | \(0.896149\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1318.76 | − | 141.656i | 1.32008 | − | 0.141798i |
(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 | 324.3.o.a.65.15 | yes | 324 | |
81.5 | odd | 54 | inner | 324.3.o.a.5.15 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.3.o.a.5.15 | ✓ | 324 | 81.5 | odd | 54 | inner | |
324.3.o.a.65.15 | yes | 324 | 1.1 | even | 1 | trivial |