Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,3,Mod(2,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("63.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.n (of order \(6\), degree \(2\), 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: | \(1.71662566547\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 63.2 |
Dual form | 63.3.n.b.32.7 |
$q$-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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0664669 | − | 0.0383747i | 0.0332335 | − | 0.0191873i | −0.483291 | − | 0.875460i | \(-0.660559\pi\) |
0.516525 | + | 0.856272i | \(0.327225\pi\) | |||||||
\(3\) | −2.92647 | − | 0.660129i | −0.975490 | − | 0.220043i | ||||
\(4\) | −1.99705 | + | 3.45900i | −0.499264 | + | 0.864750i | ||||
\(5\) | 4.07697i | 0.815393i | 0.913117 | + | 0.407697i | \(0.133668\pi\) | ||||
−0.913117 | + | 0.407697i | \(0.866332\pi\) | |||||||
\(6\) | −0.219846 | + | 0.0684257i | −0.0366410 | + | 0.0114043i | ||||
\(7\) | −6.97461 | + | 0.595686i | −0.996373 | + | 0.0850980i | ||||
\(8\) | 0.613543i | 0.0766929i | ||||||||
\(9\) | 8.12846 | + | 3.86370i | 0.903162 | + | 0.429300i | ||||
\(10\) | 0.156452 | + | 0.270983i | 0.0156452 | + | 0.0270983i | ||||
\(11\) | 12.4600i | 1.13273i | 0.824155 | + | 0.566365i | \(0.191651\pi\) | ||||
−0.824155 | + | 0.566365i | \(0.808349\pi\) | |||||||
\(12\) | 8.12771 | − | 8.80435i | 0.677309 | − | 0.733696i | ||||
\(13\) | −5.97803 | − | 10.3542i | −0.459848 | − | 0.796480i | 0.539104 | − | 0.842239i | \(-0.318763\pi\) |
−0.998953 | + | 0.0457586i | \(0.985429\pi\) | |||||||
\(14\) | −0.440721 | + | 0.307242i | −0.0314801 | + | 0.0219458i | ||||
\(15\) | 2.69132 | − | 11.9311i | 0.179422 | − | 0.795408i | ||||
\(16\) | −7.96467 | − | 13.7952i | −0.497792 | − | 0.862201i | ||||
\(17\) | 14.2872 | − | 8.24873i | 0.840424 | − | 0.485219i | −0.0169841 | − | 0.999856i | \(-0.505406\pi\) |
0.857408 | + | 0.514637i | \(0.172073\pi\) | |||||||
\(18\) | 0.688542 | − | 0.0551192i | 0.0382523 | − | 0.00306218i | ||||
\(19\) | −3.69254 | + | 6.39566i | −0.194344 | + | 0.336614i | −0.946685 | − | 0.322160i | \(-0.895591\pi\) |
0.752341 | + | 0.658774i | \(0.228924\pi\) | |||||||
\(20\) | −14.1022 | − | 8.14193i | −0.705111 | − | 0.407096i | ||||
\(21\) | 20.8042 | + | 2.86088i | 0.990677 | + | 0.136232i | ||||
\(22\) | 0.478149 | + | 0.828179i | 0.0217341 | + | 0.0376445i | ||||
\(23\) | 27.9212i | 1.21397i | 0.794715 | + | 0.606983i | \(0.207620\pi\) | ||||
−0.794715 | + | 0.606983i | \(0.792380\pi\) | |||||||
\(24\) | 0.405017 | − | 1.79552i | 0.0168757 | − | 0.0748131i | ||||
\(25\) | 8.37834 | 0.335134 | ||||||||
\(26\) | −0.794682 | − | 0.458810i | −0.0305647 | − | 0.0176465i | ||||
\(27\) | −21.2372 | − | 16.6728i | −0.786561 | − | 0.617512i | ||||
\(28\) | 11.8682 | − | 25.3148i | 0.423864 | − | 0.904100i | ||||
\(29\) | 32.2098 | + | 18.5963i | 1.11068 | + | 0.641253i | 0.939006 | − | 0.343901i | \(-0.111748\pi\) |
0.171676 | + | 0.985153i | \(0.445082\pi\) | |||||||
\(30\) | −0.278969 | − | 0.896304i | −0.00929897 | − | 0.0298768i | ||||
\(31\) | −16.2794 | + | 28.1968i | −0.525143 | + | 0.909574i | 0.474428 | + | 0.880294i | \(0.342655\pi\) |
−0.999571 | + | 0.0292800i | \(0.990679\pi\) | |||||||
\(32\) | −3.18415 | − | 1.83837i | −0.0995047 | − | 0.0574491i | ||||
\(33\) | 8.22522 | − | 36.4639i | 0.249249 | − | 1.10497i | ||||
\(34\) | 0.633085 | − | 1.09653i | 0.0186201 | − | 0.0322510i | ||||
\(35\) | −2.42859 | − | 28.4352i | −0.0693884 | − | 0.812436i | ||||
\(36\) | −29.5975 | + | 20.4003i | −0.822153 | + | 0.566676i | ||||
\(37\) | −10.3724 | + | 17.9656i | −0.280336 | + | 0.485557i | −0.971468 | − | 0.237172i | \(-0.923779\pi\) |
0.691131 | + | 0.722729i | \(0.257113\pi\) | |||||||
\(38\) | 0.566800i | 0.0149158i | ||||||||
\(39\) | 10.6594 | + | 34.2477i | 0.273317 | + | 0.878145i | ||||
\(40\) | −2.50139 | −0.0625349 | ||||||||
\(41\) | −26.1324 | + | 15.0876i | −0.637376 | + | 0.367989i | −0.783603 | − | 0.621262i | \(-0.786620\pi\) |
0.146227 | + | 0.989251i | \(0.453287\pi\) | |||||||
\(42\) | 1.49258 | − | 0.608201i | 0.0355376 | − | 0.0144810i | ||||
\(43\) | −12.7866 | + | 22.1470i | −0.297362 | + | 0.515046i | −0.975532 | − | 0.219859i | \(-0.929440\pi\) |
0.678170 | + | 0.734906i | \(0.262774\pi\) | |||||||
\(44\) | −43.0992 | − | 24.8833i | −0.979528 | − | 0.565531i | ||||
\(45\) | −15.7522 | + | 33.1395i | −0.350048 | + | 0.736432i | ||||
\(46\) | 1.07147 | + | 1.85584i | 0.0232928 | + | 0.0403443i | ||||
\(47\) | 68.4306 | − | 39.5084i | 1.45597 | − | 0.840604i | 0.457160 | − | 0.889384i | \(-0.348867\pi\) |
0.998810 | + | 0.0487800i | \(0.0155333\pi\) | |||||||
\(48\) | 14.2018 | + | 45.6290i | 0.295870 | + | 0.950605i | ||||
\(49\) | 48.2903 | − | 8.30936i | 0.985517 | − | 0.169579i | ||||
\(50\) | 0.556883 | − | 0.321516i | 0.0111377 | − | 0.00643033i | ||||
\(51\) | −47.2563 | + | 14.7083i | −0.926595 | + | 0.288397i | ||||
\(52\) | 47.7538 | 0.918342 | ||||||||
\(53\) | −61.5964 | + | 35.5627i | −1.16220 | + | 0.670995i | −0.951830 | − | 0.306628i | \(-0.900799\pi\) |
−0.210367 | + | 0.977622i | \(0.567466\pi\) | |||||||
\(54\) | −2.05138 | − | 0.293222i | −0.0379886 | − | 0.00543003i | ||||
\(55\) | −50.7991 | −0.923620 | ||||||||
\(56\) | −0.365479 | − | 4.27922i | −0.00652641 | − | 0.0764147i | ||||
\(57\) | 15.0281 | − | 16.2792i | 0.263650 | − | 0.285599i | ||||
\(58\) | 2.85451 | 0.0492158 | ||||||||
\(59\) | −37.3341 | − | 21.5548i | −0.632781 | − | 0.365336i | 0.149047 | − | 0.988830i | \(-0.452379\pi\) |
−0.781828 | + | 0.623494i | \(0.785713\pi\) | |||||||
\(60\) | 35.8950 | + | 33.1364i | 0.598251 | + | 0.552273i | ||||
\(61\) | 11.2361 | + | 19.4616i | 0.184199 | + | 0.319042i | 0.943306 | − | 0.331923i | \(-0.107698\pi\) |
−0.759107 | + | 0.650966i | \(0.774364\pi\) | |||||||
\(62\) | 2.49887i | 0.0403044i | ||||||||
\(63\) | −58.9944 | − | 22.1058i | −0.936419 | − | 0.350885i | ||||
\(64\) | 63.4352 | 0.991175 | ||||||||
\(65\) | 42.2139 | − | 24.3722i | 0.649445 | − | 0.374957i | ||||
\(66\) | −0.852585 | − | 2.73928i | −0.0129180 | − | 0.0415043i | ||||
\(67\) | 43.0738 | − | 74.6061i | 0.642893 | − | 1.11352i | −0.341891 | − | 0.939740i | \(-0.611067\pi\) |
0.984784 | − | 0.173784i | \(-0.0555993\pi\) | |||||||
\(68\) | 65.8926i | 0.969009i | ||||||||
\(69\) | 18.4316 | − | 81.7106i | 0.267125 | − | 1.18421i | ||||
\(70\) | −1.25261 | − | 1.79681i | −0.0178945 | − | 0.0256687i | ||||
\(71\) | − | 102.757i | − | 1.44728i | −0.690179 | − | 0.723639i | \(-0.742468\pi\) | ||
0.690179 | − | 0.723639i | \(-0.257532\pi\) | |||||||
\(72\) | −2.37054 | + | 4.98716i | −0.0329242 | + | 0.0692661i | ||||
\(73\) | 0.403723 | + | 0.699268i | 0.00553045 | + | 0.00957902i | 0.868777 | − | 0.495203i | \(-0.164906\pi\) |
−0.863247 | + | 0.504782i | \(0.831573\pi\) | |||||||
\(74\) | 1.59216i | 0.0215157i | ||||||||
\(75\) | −24.5190 | − | 5.53079i | −0.326920 | − | 0.0737438i | ||||
\(76\) | −14.7484 | − | 25.5450i | −0.194058 | − | 0.336118i | ||||
\(77\) | −7.42226 | − | 86.9038i | −0.0963930 | − | 1.12862i | ||||
\(78\) | 2.02274 | + | 1.86729i | 0.0259326 | + | 0.0239396i | ||||
\(79\) | 13.5256 | + | 23.4270i | 0.171210 | + | 0.296544i | 0.938843 | − | 0.344345i | \(-0.111899\pi\) |
−0.767633 | + | 0.640889i | \(0.778566\pi\) | |||||||
\(80\) | 56.2427 | − | 32.4717i | 0.703033 | − | 0.405896i | ||||
\(81\) | 51.1437 | + | 62.8118i | 0.631404 | + | 0.775454i | ||||
\(82\) | −1.15796 | + | 2.00565i | −0.0141215 | + | 0.0244591i | ||||
\(83\) | 36.4392 | + | 21.0382i | 0.439027 | + | 0.253472i | 0.703185 | − | 0.711007i | \(-0.251761\pi\) |
−0.264158 | + | 0.964479i | \(0.585094\pi\) | |||||||
\(84\) | −51.4429 | + | 66.2484i | −0.612416 | + | 0.788672i | ||||
\(85\) | 33.6298 | + | 58.2485i | 0.395644 | + | 0.685276i | ||||
\(86\) | 1.96272i | 0.0228224i | ||||||||
\(87\) | −81.9850 | − | 75.6842i | −0.942356 | − | 0.869934i | ||||
\(88\) | −7.64476 | −0.0868723 | ||||||||
\(89\) | 36.1770 | + | 20.8868i | 0.406483 | + | 0.234683i | 0.689277 | − | 0.724498i | \(-0.257928\pi\) |
−0.282795 | + | 0.959180i | \(0.591261\pi\) | |||||||
\(90\) | 0.224719 | + | 2.80716i | 0.00249688 | + | 0.0311907i | ||||
\(91\) | 47.8623 | + | 68.6558i | 0.525959 | + | 0.754459i | ||||
\(92\) | −96.5795 | − | 55.7602i | −1.04978 | − | 0.606089i | ||||
\(93\) | 66.2548 | − | 71.7706i | 0.712417 | − | 0.771727i | ||||
\(94\) | 3.03225 | − | 5.25200i | 0.0322579 | − | 0.0558724i | ||||
\(95\) | −26.0749 | − | 15.0543i | −0.274473 | − | 0.158467i | ||||
\(96\) | 8.10476 | + | 7.48188i | 0.0844246 | + | 0.0779363i | ||||
\(97\) | 6.66199 | − | 11.5389i | 0.0686803 | − | 0.118958i | −0.829640 | − | 0.558298i | \(-0.811454\pi\) |
0.898321 | + | 0.439340i | \(0.144788\pi\) | |||||||
\(98\) | 2.89084 | − | 2.40542i | 0.0294984 | − | 0.0245451i | ||||
\(99\) | −48.1417 | + | 101.281i | −0.486280 | + | 1.02304i | ||||
\(100\) | −16.7320 | + | 28.9807i | −0.167320 | + | 0.289807i | ||||
\(101\) | 159.540i | 1.57960i | 0.613362 | + | 0.789802i | \(0.289817\pi\) | ||||
−0.613362 | + | 0.789802i | \(0.710183\pi\) | |||||||
\(102\) | −2.57656 | + | 2.79106i | −0.0252604 | + | 0.0273633i | ||||
\(103\) | −178.247 | −1.73055 | −0.865274 | − | 0.501299i | \(-0.832856\pi\) | ||||
−0.865274 | + | 0.501299i | \(0.832856\pi\) | |||||||
\(104\) | 6.35277 | − | 3.66778i | 0.0610844 | − | 0.0352671i | ||||
\(105\) | −11.6637 | + | 84.8181i | −0.111083 | + | 0.807791i | ||||
\(106\) | −2.72942 | + | 4.72749i | −0.0257492 | + | 0.0445989i | ||||
\(107\) | 97.7058 | + | 56.4105i | 0.913138 | + | 0.527201i | 0.881439 | − | 0.472297i | \(-0.156575\pi\) |
0.0316986 | + | 0.999497i | \(0.489908\pi\) | |||||||
\(108\) | 100.083 | − | 40.1628i | 0.926695 | − | 0.371878i | ||||
\(109\) | −101.056 | − | 175.034i | −0.927120 | − | 1.60582i | −0.788116 | − | 0.615527i | \(-0.788943\pi\) |
−0.139004 | − | 0.990292i | \(-0.544390\pi\) | |||||||
\(110\) | −3.37646 | + | 1.94940i | −0.0306951 | + | 0.0177218i | ||||
\(111\) | 42.2143 | − | 45.7287i | 0.380309 | − | 0.411970i | ||||
\(112\) | 63.7681 | + | 91.4718i | 0.569358 | + | 0.816713i | ||||
\(113\) | 36.2418 | − | 20.9242i | 0.320724 | − | 0.185170i | −0.330991 | − | 0.943634i | \(-0.607383\pi\) |
0.651715 | + | 0.758464i | \(0.274050\pi\) | |||||||
\(114\) | 0.374161 | − | 1.65872i | 0.00328211 | − | 0.0145502i | ||||
\(115\) | −113.834 | −0.989860 | ||||||||
\(116\) | −128.649 | + | 74.2758i | −1.10905 | + | 0.640308i | ||||
\(117\) | −8.58649 | − | 107.261i | −0.0733888 | − | 0.916764i | ||||
\(118\) | −3.30864 | −0.0280393 | ||||||||
\(119\) | −94.7341 | + | 66.0423i | −0.796084 | + | 0.554978i | ||||
\(120\) | 7.32026 | + | 1.65124i | 0.0610021 | + | 0.0137604i | ||||
\(121\) | −34.2521 | −0.283075 | ||||||||
\(122\) | 1.49366 | + | 0.862367i | 0.0122431 | + | 0.00706858i | ||||
\(123\) | 86.4355 | − | 26.9025i | 0.702728 | − | 0.218720i | ||||
\(124\) | −65.0218 | − | 112.621i | −0.524369 | − | 0.908235i | ||||
\(125\) | 136.082i | 1.08866i | ||||||||
\(126\) | −4.76948 | + | 0.794590i | −0.0378530 | + | 0.00630627i | ||||
\(127\) | 84.6221 | 0.666316 | 0.333158 | − | 0.942871i | \(-0.391886\pi\) | ||||
0.333158 | + | 0.942871i | \(0.391886\pi\) | |||||||
\(128\) | 16.9529 | − | 9.78779i | 0.132445 | − | 0.0764671i | ||||
\(129\) | 52.0394 | − | 56.3717i | 0.403406 | − | 0.436990i | ||||
\(130\) | 1.87055 | − | 3.23989i | 0.0143889 | − | 0.0249222i | ||||
\(131\) | 187.107i | 1.42830i | 0.699993 | + | 0.714149i | \(0.253186\pi\) | ||||
−0.699993 | + | 0.714149i | \(0.746814\pi\) | |||||||
\(132\) | 109.702 | + | 101.271i | 0.831079 | + | 0.767208i | ||||
\(133\) | 21.9442 | − | 46.8068i | 0.164994 | − | 0.351931i | ||||
\(134\) | − | 6.61178i | − | 0.0493416i | ||||||
\(135\) | 67.9745 | − | 86.5832i | 0.503515 | − | 0.641357i | ||||
\(136\) | 5.06095 | + | 8.76582i | 0.0372129 | + | 0.0644546i | ||||
\(137\) | − | 58.0532i | − | 0.423746i | −0.977297 | − | 0.211873i | \(-0.932044\pi\) | ||
0.977297 | − | 0.211873i | \(-0.0679563\pi\) | |||||||
\(138\) | −1.91053 | − | 6.13836i | −0.0138444 | − | 0.0444809i | ||||
\(139\) | 18.1886 | + | 31.5036i | 0.130853 | + | 0.226645i | 0.924006 | − | 0.382379i | \(-0.124895\pi\) |
−0.793152 | + | 0.609023i | \(0.791562\pi\) | |||||||
\(140\) | 103.208 | + | 48.3862i | 0.737197 | + | 0.345616i | ||||
\(141\) | −226.341 | + | 70.4472i | −1.60525 | + | 0.499625i | ||||
\(142\) | −3.94326 | − | 6.82992i | −0.0277694 | − | 0.0480980i | ||||
\(143\) | 129.014 | − | 74.4863i | 0.902196 | − | 0.520883i | ||||
\(144\) | −11.4400 | − | 142.907i | −0.0794444 | − | 0.992410i | ||||
\(145\) | −75.8166 | + | 131.318i | −0.522873 | + | 0.905643i | ||||
\(146\) | 0.0536684 | + | 0.0309855i | 0.000367592 | + | 0.000212229i | ||||
\(147\) | −146.805 | − | 7.56075i | −0.998676 | − | 0.0514337i | ||||
\(148\) | −41.4287 | − | 71.7566i | −0.279924 | − | 0.484842i | ||||
\(149\) | 23.2671i | 0.156155i | 0.996947 | + | 0.0780776i | \(0.0248782\pi\) | ||||
−0.996947 | + | 0.0780776i | \(0.975122\pi\) | |||||||
\(150\) | −1.84194 | + | 0.573294i | −0.0122796 | + | 0.00382196i | ||||
\(151\) | 59.2739 | 0.392542 | 0.196271 | − | 0.980550i | \(-0.437117\pi\) | ||||
0.196271 | + | 0.980550i | \(0.437117\pi\) | |||||||
\(152\) | −3.92401 | − | 2.26553i | −0.0258159 | − | 0.0149048i | ||||
\(153\) | 148.004 | − | 11.8480i | 0.967344 | − | 0.0774378i | ||||
\(154\) | −3.82824 | − | 5.49140i | −0.0248587 | − | 0.0356584i | ||||
\(155\) | −114.957 | − | 66.3707i | −0.741661 | − | 0.428198i | ||||
\(156\) | −139.750 | − | 31.5237i | −0.895834 | − | 0.202075i | ||||
\(157\) | −47.1962 | + | 81.7463i | −0.300613 | + | 0.520677i | −0.976275 | − | 0.216535i | \(-0.930525\pi\) |
0.675662 | + | 0.737212i | \(0.263858\pi\) | |||||||
\(158\) | 1.79800 | + | 1.03808i | 0.0113798 | + | 0.00657011i | ||||
\(159\) | 203.736 | − | 63.4117i | 1.28136 | − | 0.398815i | ||||
\(160\) | 7.49497 | − | 12.9817i | 0.0468436 | − | 0.0811355i | ||||
\(161\) | −16.6323 | − | 194.740i | −0.103306 | − | 1.20956i | ||||
\(162\) | 5.80975 | + | 2.21228i | 0.0358626 | + | 0.0136561i | ||||
\(163\) | 38.8629 | − | 67.3124i | 0.238422 | − | 0.412960i | −0.721839 | − | 0.692061i | \(-0.756703\pi\) |
0.960262 | + | 0.279101i | \(0.0900364\pi\) | |||||||
\(164\) | − | 120.523i | − | 0.734895i | ||||||
\(165\) | 148.662 | + | 33.5339i | 0.900982 | + | 0.203236i | ||||
\(166\) | 3.22934 | 0.0194538 | ||||||||
\(167\) | 165.547 | − | 95.5786i | 0.991300 | − | 0.572327i | 0.0856370 | − | 0.996326i | \(-0.472707\pi\) |
0.905662 | + | 0.423999i | \(0.139374\pi\) | |||||||
\(168\) | −1.75527 | + | 12.7643i | −0.0104481 | + | 0.0759779i | ||||
\(169\) | 13.0264 | − | 22.5624i | 0.0770794 | − | 0.133505i | ||||
\(170\) | 4.47054 | + | 2.58106i | 0.0262973 | + | 0.0151827i | ||||
\(171\) | −54.7255 | + | 37.7200i | −0.320032 | + | 0.220585i | ||||
\(172\) | −51.0710 | − | 88.4575i | −0.296924 | − | 0.514288i | ||||
\(173\) | 24.1853 | − | 13.9634i | 0.139800 | − | 0.0807134i | −0.428469 | − | 0.903557i | \(-0.640947\pi\) |
0.568269 | + | 0.822843i | \(0.307613\pi\) | |||||||
\(174\) | −8.35365 | − | 1.88435i | −0.0480095 | − | 0.0108296i | ||||
\(175\) | −58.4357 | + | 4.99087i | −0.333918 | + | 0.0285192i | ||||
\(176\) | 171.889 | − | 99.2400i | 0.976641 | − | 0.563864i | ||||
\(177\) | 95.0281 | + | 87.7249i | 0.536882 | + | 0.495621i | ||||
\(178\) | 3.20610 | 0.0180118 | ||||||||
\(179\) | −49.1073 | + | 28.3521i | −0.274342 | + | 0.158392i | −0.630859 | − | 0.775897i | \(-0.717297\pi\) |
0.356517 | + | 0.934289i | \(0.383964\pi\) | |||||||
\(180\) | −83.1715 | − | 120.668i | −0.462064 | − | 0.670378i | ||||
\(181\) | 81.8315 | 0.452108 | 0.226054 | − | 0.974115i | \(-0.427417\pi\) | ||||
0.226054 | + | 0.974115i | \(0.427417\pi\) | |||||||
\(182\) | 5.81590 | + | 2.72664i | 0.0319555 | + | 0.0149815i | ||||
\(183\) | −20.0351 | − | 64.3710i | −0.109481 | − | 0.351754i | ||||
\(184\) | −17.1309 | −0.0931025 | ||||||||
\(185\) | −73.2452 | − | 42.2881i | −0.395920 | − | 0.228584i | ||||
\(186\) | 1.64958 | − | 7.31288i | 0.00886870 | − | 0.0393165i | ||||
\(187\) | 102.779 | + | 178.019i | 0.549622 | + | 0.951973i | ||||
\(188\) | 315.602i | 1.67873i | ||||||||
\(189\) | 158.053 | + | 103.636i | 0.836257 | + | 0.548337i | ||||
\(190\) | −2.31082 | −0.0121622 | ||||||||
\(191\) | −141.509 | + | 81.7002i | −0.740884 | + | 0.427750i | −0.822391 | − | 0.568923i | \(-0.807360\pi\) |
0.0815066 | + | 0.996673i | \(0.474027\pi\) | |||||||
\(192\) | −185.641 | − | 41.8754i | −0.966882 | − | 0.218101i | ||||
\(193\) | 163.421 | − | 283.053i | 0.846740 | − | 1.46660i | −0.0373615 | − | 0.999302i | \(-0.511895\pi\) |
0.884102 | − | 0.467295i | \(-0.154771\pi\) | |||||||
\(194\) | − | 1.02261i | − | 0.00527117i | ||||||
\(195\) | −139.627 | + | 43.4579i | −0.716034 | + | 0.222861i | ||||
\(196\) | −67.6963 | + | 183.630i | −0.345389 | + | 0.936890i | ||||
\(197\) | 262.028i | 1.33009i | 0.746802 | + | 0.665046i | \(0.231588\pi\) | ||||
−0.746802 | + | 0.665046i | \(0.768412\pi\) | |||||||
\(198\) | 0.686786 | + | 8.57924i | 0.00346862 | + | 0.0433295i | ||||
\(199\) | 50.0375 | + | 86.6676i | 0.251445 | + | 0.435515i | 0.963924 | − | 0.266178i | \(-0.0857609\pi\) |
−0.712479 | + | 0.701694i | \(0.752428\pi\) | |||||||
\(200\) | 5.14047i | 0.0257024i | ||||||||
\(201\) | −175.304 | + | 189.898i | −0.872159 | + | 0.944767i | ||||
\(202\) | 6.12230 | + | 10.6041i | 0.0303084 | + | 0.0524957i | ||||
\(203\) | −235.728 | − | 110.515i | −1.16122 | − | 0.544410i | ||||
\(204\) | 43.4976 | − | 192.833i | 0.213224 | − | 0.945259i | ||||
\(205\) | −61.5115 | − | 106.541i | −0.300056 | − | 0.519712i | ||||
\(206\) | −11.8475 | + | 6.84015i | −0.0575121 | + | 0.0332046i | ||||
\(207\) | −107.879 | + | 226.956i | −0.521155 | + | 1.09641i | ||||
\(208\) | −95.2261 | + | 164.936i | −0.457818 | + | 0.792963i | ||||
\(209\) | −79.6901 | − | 46.0091i | −0.381292 | − | 0.220139i | ||||
\(210\) | 2.47962 | + | 6.08519i | 0.0118077 | + | 0.0289771i | ||||
\(211\) | 124.345 | + | 215.372i | 0.589312 | + | 1.02072i | 0.994323 | + | 0.106407i | \(0.0339345\pi\) |
−0.405010 | + | 0.914312i | \(0.632732\pi\) | |||||||
\(212\) | − | 284.083i | − | 1.34001i | ||||||
\(213\) | −67.8327 | + | 300.714i | −0.318463 | + | 1.41180i | ||||
\(214\) | 8.65894 | 0.0404623 | ||||||||
\(215\) | −90.2925 | − | 52.1304i | −0.419965 | − | 0.242467i | ||||
\(216\) | 10.2295 | − | 13.0299i | 0.0473588 | − | 0.0603237i | ||||
\(217\) | 96.7462 | − | 206.359i | 0.445835 | − | 0.950963i | ||||
\(218\) | −13.4338 | − | 7.75599i | −0.0616228 | − | 0.0355779i | ||||
\(219\) | −0.719876 | − | 2.31290i | −0.00328710 | − | 0.0105612i | ||||
\(220\) | 101.449 | − | 175.714i | 0.461130 | − | 0.798700i | ||||
\(221\) | −170.819 | − | 98.6222i | −0.772935 | − | 0.446254i | ||||
\(222\) | 1.05103 | − | 4.65940i | 0.00473437 | − | 0.0209883i | ||||
\(223\) | −6.13684 | + | 10.6293i | −0.0275195 | + | 0.0476651i | −0.879457 | − | 0.475978i | \(-0.842094\pi\) |
0.851938 | + | 0.523643i | \(0.175427\pi\) | |||||||
\(224\) | 23.3033 | + | 10.9252i | 0.104033 | + | 0.0487730i | ||||
\(225\) | 68.1030 | + | 32.3714i | 0.302680 | + | 0.143873i | ||||
\(226\) | 1.60592 | − | 2.78153i | 0.00710584 | − | 0.0123077i | ||||
\(227\) | − | 16.8502i | − | 0.0742298i | −0.999311 | − | 0.0371149i | \(-0.988183\pi\) | ||
0.999311 | − | 0.0371149i | \(-0.0118167\pi\) | |||||||
\(228\) | 26.2978 | + | 84.4925i | 0.115341 | + | 0.370581i | ||||
\(229\) | 112.292 | 0.490358 | 0.245179 | − | 0.969478i | \(-0.421153\pi\) | ||||
0.245179 | + | 0.969478i | \(0.421153\pi\) | |||||||
\(230\) | −7.56618 | + | 4.36834i | −0.0328965 | + | 0.0189928i | ||||
\(231\) | −35.6467 | + | 259.221i | −0.154315 | + | 1.12217i | ||||
\(232\) | −11.4096 | + | 19.7621i | −0.0491795 | + | 0.0851814i | ||||
\(233\) | 123.161 | + | 71.1068i | 0.528586 | + | 0.305179i | 0.740440 | − | 0.672122i | \(-0.234617\pi\) |
−0.211855 | + | 0.977301i | \(0.567950\pi\) | |||||||
\(234\) | −4.68684 | − | 6.79983i | −0.0200292 | − | 0.0290591i | ||||
\(235\) | 161.074 | + | 278.989i | 0.685423 | + | 1.18719i | ||||
\(236\) | 149.116 | − | 86.0924i | 0.631849 | − | 0.364798i | ||||
\(237\) | −24.1173 | − | 77.4869i | −0.101761 | − | 0.326949i | ||||
\(238\) | −3.76233 | + | 8.02502i | −0.0158081 | + | 0.0337186i | ||||
\(239\) | 205.534 | − | 118.665i | 0.859975 | − | 0.496507i | −0.00402865 | − | 0.999992i | \(-0.501282\pi\) |
0.864004 | + | 0.503485i | \(0.167949\pi\) | |||||||
\(240\) | −186.028 | + | 57.9001i | −0.775117 | + | 0.241250i | ||||
\(241\) | 158.093 | 0.655989 | 0.327995 | − | 0.944680i | \(-0.393627\pi\) | ||||
0.327995 | + | 0.944680i | \(0.393627\pi\) | |||||||
\(242\) | −2.27663 | + | 1.31441i | −0.00940757 | + | 0.00543146i | ||||
\(243\) | −108.207 | − | 217.578i | −0.445295 | − | 0.895384i | ||||
\(244\) | −89.7568 | −0.367856 | ||||||||
\(245\) | 33.8770 | + | 196.878i | 0.138273 | + | 0.803584i | ||||
\(246\) | 4.71273 | − | 5.10507i | 0.0191574 | − | 0.0207523i | ||||
\(247\) | 88.2963 | 0.357475 | ||||||||
\(248\) | −17.2999 | − | 9.98813i | −0.0697578 | − | 0.0402747i | ||||
\(249\) | −92.7504 | − | 85.6223i | −0.372492 | − | 0.343864i | ||||
\(250\) | 5.22212 | + | 9.04498i | 0.0208885 | + | 0.0361799i | ||||
\(251\) | − | 462.619i | − | 1.84310i | −0.388254 | − | 0.921552i | \(-0.626922\pi\) | ||
0.388254 | − | 0.921552i | \(-0.373078\pi\) | |||||||
\(252\) | 194.279 | − | 159.915i | 0.770948 | − | 0.634584i | ||||
\(253\) | −347.899 | −1.37509 | ||||||||
\(254\) | 5.62457 | − | 3.24735i | 0.0221440 | − | 0.0127848i | ||||
\(255\) | −59.9650 | − | 192.662i | −0.235157 | − | 0.755539i | ||||
\(256\) | −126.119 | + | 218.445i | −0.492653 | + | 0.853300i | ||||
\(257\) | − | 114.845i | − | 0.446866i | −0.974719 | − | 0.223433i | \(-0.928274\pi\) | ||
0.974719 | − | 0.223433i | \(-0.0717264\pi\) | |||||||
\(258\) | 1.29565 | − | 5.74385i | 0.00502190 | − | 0.0222630i | ||||
\(259\) | 61.6419 | − | 131.482i | 0.238000 | − | 0.507652i | ||||
\(260\) | 194.691i | 0.748810i | ||||||||
\(261\) | 189.965 | + | 275.608i | 0.727837 | + | 1.05597i | ||||
\(262\) | 7.18018 | + | 12.4364i | 0.0274053 | + | 0.0474673i | ||||
\(263\) | − | 33.8272i | − | 0.128620i | −0.997930 | − | 0.0643102i | \(-0.979515\pi\) | ||
0.997930 | − | 0.0643102i | \(-0.0204847\pi\) | |||||||
\(264\) | 22.3722 | + | 5.04653i | 0.0847430 | + | 0.0191156i | ||||
\(265\) | −144.988 | − | 251.127i | −0.547125 | − | 0.947648i | ||||
\(266\) | −0.337635 | − | 3.95321i | −0.00126930 | − | 0.0148617i | ||||
\(267\) | −92.0829 | − | 85.0060i | −0.344880 | − | 0.318375i | ||||
\(268\) | 172.042 | + | 297.985i | 0.641946 | + | 1.11188i | ||||
\(269\) | 43.6851 | − | 25.2216i | 0.162398 | − | 0.0937605i | −0.416598 | − | 0.909091i | \(-0.636778\pi\) |
0.578996 | + | 0.815330i | \(0.303445\pi\) | |||||||
\(270\) | 1.19546 | − | 8.36342i | 0.00442761 | − | 0.0309756i | ||||
\(271\) | 203.410 | − | 352.317i | 0.750591 | − | 1.30006i | −0.196946 | − | 0.980414i | \(-0.563102\pi\) |
0.947537 | − | 0.319647i | \(-0.103564\pi\) | |||||||
\(272\) | −227.586 | − | 131.397i | −0.836713 | − | 0.483077i | ||||
\(273\) | −94.7459 | − | 232.514i | −0.347054 | − | 0.851701i | ||||
\(274\) | −2.22777 | − | 3.85861i | −0.00813056 | − | 0.0140825i | ||||
\(275\) | 104.394i | 0.379616i | ||||||||
\(276\) | 245.828 | + | 226.935i | 0.890681 | + | 0.822230i | ||||
\(277\) | −78.4785 | −0.283316 | −0.141658 | − | 0.989916i | \(-0.545243\pi\) | ||||
−0.141658 | + | 0.989916i | \(0.545243\pi\) | |||||||
\(278\) | 2.41788 | + | 1.39597i | 0.00869742 | + | 0.00502146i | ||||
\(279\) | −241.271 | + | 166.298i | −0.864769 | + | 0.596049i | ||||
\(280\) | 17.4462 | − | 1.49005i | 0.0623080 | − | 0.00532159i | ||||
\(281\) | −124.764 | − | 72.0327i | −0.444001 | − | 0.256344i | 0.261292 | − | 0.965260i | \(-0.415851\pi\) |
−0.705293 | + | 0.708916i | \(0.749185\pi\) | |||||||
\(282\) | −12.3408 | + | 13.3682i | −0.0437616 | + | 0.0474048i | ||||
\(283\) | −98.9771 | + | 171.433i | −0.349743 | + | 0.605772i | −0.986204 | − | 0.165537i | \(-0.947064\pi\) |
0.636461 | + | 0.771309i | \(0.280398\pi\) | |||||||
\(284\) | 355.435 | + | 205.211i | 1.25153 | + | 0.722573i | ||||
\(285\) | 66.3696 | + | 61.2689i | 0.232876 | + | 0.214979i | ||||
\(286\) | 5.71678 | − | 9.90175i | 0.0199887 | − | 0.0346215i | ||||
\(287\) | 173.276 | − | 120.797i | 0.603749 | − | 0.420894i | ||||
\(288\) | −18.7793 | − | 27.2457i | −0.0652060 | − | 0.0946031i | ||||
\(289\) | −8.41704 | + | 14.5787i | −0.0291247 | + | 0.0504455i | ||||
\(290\) | 11.6378i | 0.0401302i | ||||||||
\(291\) | −27.1133 | + | 29.3705i | −0.0931728 | + | 0.100930i | ||||
\(292\) | −3.22503 | −0.0110446 | ||||||||
\(293\) | −248.893 | + | 143.698i | −0.849463 | + | 0.490438i | −0.860470 | − | 0.509502i | \(-0.829830\pi\) |
0.0110067 | + | 0.999939i | \(0.496496\pi\) | |||||||
\(294\) | −10.0478 | + | 5.13107i | −0.0341763 | + | 0.0174526i | ||||
\(295\) | 87.8784 | − | 152.210i | 0.297893 | − | 0.515966i | ||||
\(296\) | −11.0227 | − | 6.36394i | −0.0372388 | − | 0.0214998i | ||||
\(297\) | 207.744 | − | 264.615i | 0.699474 | − | 0.890961i | ||||
\(298\) | 0.892869 | + | 1.54649i | 0.00299620 | + | 0.00518958i | ||||
\(299\) | 289.103 | − | 166.914i | 0.966900 | − | 0.558240i | ||||
\(300\) | 68.0967 | − | 73.7659i | 0.226989 | − | 0.245886i | ||||
\(301\) | 75.9887 | − | 162.083i | 0.252454 | − | 0.538483i | ||||
\(302\) | 3.93975 | − | 2.27462i | 0.0130455 | − | 0.00753185i | ||||
\(303\) | 105.317 | − | 466.889i | 0.347581 | − | 1.54089i | ||||
\(304\) | 117.639 | 0.386972 | ||||||||
\(305\) | −79.3442 | + | 45.8094i | −0.260145 | + | 0.150195i | ||||
\(306\) | 9.38268 | − | 6.46709i | 0.0306624 | − | 0.0211343i | ||||
\(307\) | 93.1935 | 0.303562 | 0.151781 | − | 0.988414i | \(-0.451499\pi\) | ||||
0.151781 | + | 0.988414i | \(0.451499\pi\) | |||||||
\(308\) | 315.423 | + | 147.878i | 1.02410 | + | 0.480123i | ||||
\(309\) | 521.633 | + | 117.666i | 1.68813 | + | 0.380795i | ||||
\(310\) | −10.1878 | −0.0328639 | ||||||||
\(311\) | −5.49869 | − | 3.17467i | −0.0176807 | − | 0.0102080i | 0.491134 | − | 0.871084i | \(-0.336583\pi\) |
−0.508814 | + | 0.860876i | \(0.669916\pi\) | |||||||
\(312\) | −21.0124 | + | 6.53999i | −0.0673475 | + | 0.0209615i | ||||
\(313\) | −228.959 | − | 396.568i | −0.731497 | − | 1.26699i | −0.956243 | − | 0.292572i | \(-0.905489\pi\) |
0.224746 | − | 0.974417i | \(-0.427845\pi\) | |||||||
\(314\) | 7.24457i | 0.0230719i | ||||||||
\(315\) | 90.1244 | − | 240.518i | 0.286109 | − | 0.763549i | ||||
\(316\) | −108.045 | −0.341915 | ||||||||
\(317\) | −446.511 | + | 257.793i | −1.40855 | + | 0.813227i | −0.995249 | − | 0.0973664i | \(-0.968958\pi\) |
−0.413303 | + | 0.910594i | \(0.635625\pi\) | |||||||
\(318\) | 11.1083 | − | 12.0331i | 0.0349318 | − | 0.0378399i | ||||
\(319\) | −231.711 | + | 401.335i | −0.726366 | + | 1.25810i | ||||
\(320\) | 258.623i | 0.808198i | ||||||||
\(321\) | −248.695 | − | 229.582i | −0.774750 | − | 0.715209i | ||||
\(322\) | −8.57857 | − | 12.3055i | −0.0266415 | − | 0.0382158i | ||||
\(323\) | 121.835i | 0.377198i | ||||||||
\(324\) | −319.403 | + | 51.4675i | −0.985811 | + | 0.158850i | ||||
\(325\) | −50.0860 | − | 86.7514i | −0.154111 | − | 0.266927i | ||||
\(326\) | − | 5.96540i | − | 0.0182988i | ||||||
\(327\) | 180.192 | + | 578.943i | 0.551047 | + | 1.77047i | ||||
\(328\) | −9.25687 | − | 16.0334i | −0.0282222 | − | 0.0488822i | ||||
\(329\) | −453.742 | + | 316.319i | −1.37915 | + | 0.961455i | ||||
\(330\) | 11.1680 | − | 3.47596i | 0.0338423 | − | 0.0105332i | ||||
\(331\) | −148.627 | − | 257.430i | −0.449026 | − | 0.777735i | 0.549297 | − | 0.835627i | \(-0.314895\pi\) |
−0.998323 | + | 0.0578919i | \(0.981562\pi\) | |||||||
\(332\) | −145.542 | + | 84.0289i | −0.438380 | + | 0.253099i | ||||
\(333\) | −153.726 | + | 105.957i | −0.461639 | + | 0.318188i | ||||
\(334\) | 7.33560 | − | 12.7056i | 0.0219629 | − | 0.0380408i | ||||
\(335\) | 304.166 | + | 175.611i | 0.907959 | + | 0.524211i | ||||
\(336\) | −126.232 | − | 309.785i | −0.375691 | − | 0.921978i | ||||
\(337\) | −57.4915 | − | 99.5781i | −0.170598 | − | 0.295484i | 0.768031 | − | 0.640412i | \(-0.221237\pi\) |
−0.938629 | + | 0.344928i | \(0.887903\pi\) | |||||||
\(338\) | − | 1.99954i | − | 0.00591579i | ||||||
\(339\) | −119.873 | + | 37.3098i | −0.353608 | + | 0.110058i | ||||
\(340\) | −268.642 | −0.790124 | ||||||||
\(341\) | −351.333 | − | 202.842i | −1.03030 | − | 0.594845i | ||||
\(342\) | −2.18994 | + | 4.60721i | −0.00640334 | + | 0.0134714i | ||||
\(343\) | −331.856 | + | 86.7204i | −0.967511 | + | 0.252829i | ||||
\(344\) | −13.5881 | − | 7.84511i | −0.0395004 | − | 0.0228056i | ||||
\(345\) | 333.131 | + | 75.1450i | 0.965598 | + | 0.217812i | ||||
\(346\) | 1.07168 | − | 1.85621i | 0.00309735 | − | 0.00536477i | ||||
\(347\) | 392.871 | + | 226.824i | 1.13219 | + | 0.653672i | 0.944486 | − | 0.328553i | \(-0.106561\pi\) |
0.187708 | + | 0.982225i | \(0.439894\pi\) | |||||||
\(348\) | 425.520 | − | 132.441i | 1.22276 | − | 0.380577i | ||||
\(349\) | −262.257 | + | 454.242i | −0.751452 | + | 1.30155i | 0.195668 | + | 0.980670i | \(0.437313\pi\) |
−0.947119 | + | 0.320882i | \(0.896021\pi\) | |||||||
\(350\) | −3.69252 | + | 2.57418i | −0.0105500 | + | 0.00735480i | ||||
\(351\) | −45.6782 | + | 319.565i | −0.130137 | + | 0.910443i | ||||
\(352\) | 22.9061 | − | 39.6746i | 0.0650742 | − | 0.112712i | ||||
\(353\) | 505.529i | 1.43209i | 0.698052 | + | 0.716047i | \(0.254051\pi\) | ||||
−0.698052 | + | 0.716047i | \(0.745949\pi\) | |||||||
\(354\) | 9.68264 | + | 2.18413i | 0.0273521 | + | 0.00616986i | ||||
\(355\) | 418.935 | 1.18010 | ||||||||
\(356\) | −144.495 | + | 83.4241i | −0.405884 | + | 0.234337i | ||||
\(357\) | 320.833 | − | 130.734i | 0.898692 | − | 0.366202i | ||||
\(358\) | −2.17601 | + | 3.76895i | −0.00607823 | + | 0.0105278i | ||||
\(359\) | 43.4754 | + | 25.1005i | 0.121101 | + | 0.0699179i | 0.559327 | − | 0.828947i | \(-0.311060\pi\) |
−0.438226 | + | 0.898865i | \(0.644393\pi\) | |||||||
\(360\) | −20.3325 | − | 9.66463i | −0.0564791 | − | 0.0268462i | ||||
\(361\) | 153.230 | + | 265.403i | 0.424461 | + | 0.735188i | ||||
\(362\) | 5.43909 | − | 3.14026i | 0.0150251 | − | 0.00867475i | ||||
\(363\) | 100.238 | + | 22.6108i | 0.276137 | + | 0.0622887i | ||||
\(364\) | −333.064 | + | 28.4463i | −0.915011 | + | 0.0781491i | ||||
\(365\) | −2.85089 | + | 1.64596i | −0.00781067 | + | 0.00450949i | ||||
\(366\) | −3.80189 | − | 3.50970i | −0.0103877 | − | 0.00958935i | ||||
\(367\) | −594.479 | −1.61983 | −0.809917 | − | 0.586545i | \(-0.800488\pi\) | ||||
−0.809917 | + | 0.586545i | \(0.800488\pi\) | |||||||
\(368\) | 385.179 | − | 222.383i | 1.04668 | − | 0.604303i | ||||
\(369\) | −270.710 | + | 21.6709i | −0.733632 | + | 0.0587287i | ||||
\(370\) | −6.49118 | −0.0175437 | ||||||||
\(371\) | 408.427 | − | 284.728i | 1.10088 | − | 0.767461i | ||||
\(372\) | 115.940 | + | 372.505i | 0.311667 | + | 1.00136i | ||||
\(373\) | −609.271 | −1.63344 | −0.816718 | − | 0.577038i | \(-0.804209\pi\) | ||||
−0.816718 | + | 0.577038i | \(0.804209\pi\) | |||||||
\(374\) | 13.6628 | + | 7.88825i | 0.0365317 | + | 0.0210916i | ||||
\(375\) | 89.8319 | − | 398.241i | 0.239552 | − | 1.06198i | ||||
\(376\) | 24.2401 | + | 41.9851i | 0.0644684 | + | 0.111662i | ||||
\(377\) | − | 444.677i | − | 1.17952i | ||||||
\(378\) | 14.4823 | + | 0.823126i | 0.0383129 | + | 0.00217758i | ||||
\(379\) | 468.439 | 1.23599 | 0.617994 | − | 0.786183i | \(-0.287946\pi\) | ||||
0.617994 | + | 0.786183i | \(0.287946\pi\) | |||||||
\(380\) | 104.146 | − | 60.1287i | 0.274068 | − | 0.158233i | ||||
\(381\) | −247.644 | − | 55.8615i | −0.649985 | − | 0.146618i | ||||
\(382\) | −6.27044 | + | 10.8607i | −0.0164148 | + | 0.0284312i | ||||
\(383\) | 439.378i | 1.14720i | 0.819136 | + | 0.573600i | \(0.194454\pi\) | ||||
−0.819136 | + | 0.573600i | \(0.805546\pi\) | |||||||
\(384\) | −56.0735 | + | 17.4525i | −0.146025 | + | 0.0454493i | ||||
\(385\) | 354.304 | − | 30.2603i | 0.920269 | − | 0.0785982i | ||||
\(386\) | − | 25.0849i | − | 0.0649868i | ||||||
\(387\) | −189.504 | + | 130.617i | −0.489675 | + | 0.337513i | ||||
\(388\) | 26.6087 | + | 46.0877i | 0.0685792 | + | 0.118783i | ||||
\(389\) | − | 265.619i | − | 0.682825i | −0.939914 | − | 0.341412i | \(-0.889095\pi\) | ||
0.939914 | − | 0.341412i | \(-0.110905\pi\) | |||||||
\(390\) | −7.61286 | + | 8.24664i | −0.0195202 | + | 0.0211452i | ||||
\(391\) | 230.314 | + | 398.916i | 0.589039 | + | 1.02025i | ||||
\(392\) | 5.09815 | + | 29.6282i | 0.0130055 | + | 0.0755821i | ||||
\(393\) | 123.515 | − | 547.564i | 0.314287 | − | 1.39329i | ||||
\(394\) | 10.0553 | + | 17.4162i | 0.0255209 | + | 0.0442036i | ||||
\(395\) | −95.5109 | + | 55.1432i | −0.241800 | + | 0.139603i | ||||
\(396\) | −254.189 | − | 368.786i | −0.641890 | − | 0.931277i | ||||
\(397\) | 98.4268 | − | 170.480i | 0.247926 | − | 0.429421i | −0.715024 | − | 0.699100i | \(-0.753584\pi\) |
0.962950 | + | 0.269679i | \(0.0869176\pi\) | |||||||
\(398\) | 6.65168 | + | 3.84035i | 0.0167128 | + | 0.00964912i | ||||
\(399\) | −95.1176 | + | 122.493i | −0.238390 | + | 0.307000i | ||||
\(400\) | −66.7308 | − | 115.581i | −0.166827 | − | 0.288953i | ||||
\(401\) | − | 184.898i | − | 0.461091i | −0.973062 | − | 0.230546i | \(-0.925949\pi\) | ||
0.973062 | − | 0.230546i | \(-0.0740511\pi\) | |||||||
\(402\) | −4.36463 | + | 19.3492i | −0.0108573 | + | 0.0481323i | ||||
\(403\) | 389.275 | 0.965944 | ||||||||
\(404\) | −551.849 | − | 318.610i | −1.36596 | − | 0.788639i | ||||
\(405\) | −256.082 | + | 208.511i | −0.632300 | + | 0.514842i | ||||
\(406\) | −19.9091 | + | 1.70039i | −0.0490372 | + | 0.00418816i | ||||
\(407\) | −223.852 | − | 129.241i | −0.550005 | − | 0.317545i | ||||
\(408\) | −9.02414 | − | 28.9938i | −0.0221180 | − | 0.0710632i | ||||
\(409\) | 299.332 | − | 518.458i | 0.731863 | − | 1.26762i | −0.224224 | − | 0.974538i | \(-0.571985\pi\) |
0.956086 | − | 0.293085i | \(-0.0946820\pi\) | |||||||
\(410\) | −8.17696 | − | 4.72097i | −0.0199438 | − | 0.0115146i | ||||
\(411\) | −38.3226 | + | 169.891i | −0.0932423 | + | 0.413360i | ||||
\(412\) | 355.968 | − | 616.555i | 0.864000 | − | 1.49649i | ||||
\(413\) | 273.231 | + | 128.097i | 0.661575 | + | 0.310163i | ||||
\(414\) | 1.53899 | + | 19.2249i | 0.00371738 | + | 0.0464370i | ||||
\(415\) | −85.7720 | + | 148.562i | −0.206680 | + | 0.357980i | ||||
\(416\) | 43.9593i | 0.105671i | ||||||||
\(417\) | −32.4320 | − | 104.201i | −0.0777746 | − | 0.249883i | ||||
\(418\) | −7.06234 | −0.0168955 | ||||||||
\(419\) | 249.386 | − | 143.983i | 0.595194 | − | 0.343635i | −0.171955 | − | 0.985105i | \(-0.555008\pi\) |
0.767148 | + | 0.641470i | \(0.221675\pi\) | |||||||
\(420\) | −270.093 | − | 209.731i | −0.643078 | − | 0.499360i | ||||
\(421\) | −52.7568 | + | 91.3775i | −0.125313 | + | 0.217049i | −0.921855 | − | 0.387534i | \(-0.873327\pi\) |
0.796542 | + | 0.604583i | \(0.206660\pi\) | |||||||
\(422\) | 16.5296 | + | 9.54339i | 0.0391698 | + | 0.0226147i | ||||
\(423\) | 708.884 | − | 56.7476i | 1.67585 | − | 0.134155i | ||||
\(424\) | −21.8193 | − | 37.7921i | −0.0514605 | − | 0.0891322i | ||||
\(425\) | 119.703 | − | 69.1107i | 0.281655 | − | 0.162613i | ||||
\(426\) | 7.03119 | + | 22.5906i | 0.0165051 | + | 0.0530296i | ||||
\(427\) | −89.9607 | − | 129.044i | −0.210681 | − | 0.302210i | ||||
\(428\) | −390.248 | + | 225.310i | −0.911793 | + | 0.526424i | ||||
\(429\) | −426.727 | + | 132.816i | −0.994701 | + | 0.309595i | ||||
\(430\) | −8.00195 | −0.0186092 | ||||||||
\(431\) | 230.505 | − | 133.082i | 0.534815 | − | 0.308775i | −0.208160 | − | 0.978095i | \(-0.566748\pi\) |
0.742975 | + | 0.669319i | \(0.233414\pi\) | |||||||
\(432\) | −60.8582 | + | 425.765i | −0.140876 | + | 0.985567i | ||||
\(433\) | −235.623 | −0.544164 | −0.272082 | − | 0.962274i | \(-0.587712\pi\) | ||||
−0.272082 | + | 0.962274i | \(0.587712\pi\) | |||||||
\(434\) | −1.48854 | − | 17.4287i | −0.00342982 | − | 0.0401582i | ||||
\(435\) | 308.562 | − | 334.250i | 0.709338 | − | 0.768391i | ||||
\(436\) | 807.258 | 1.85151 | ||||||||
\(437\) | −178.575 | − | 103.100i | −0.408638 | − | 0.235927i | ||||
\(438\) | −0.136605 | − | 0.126106i | −0.000311883 | − | 0.000287914i | ||||
\(439\) | 313.706 | + | 543.354i | 0.714592 | + | 1.23771i | 0.963117 | + | 0.269084i | \(0.0867209\pi\) |
−0.248525 | + | 0.968626i | \(0.579946\pi\) | |||||||
\(440\) | − | 31.1674i | − | 0.0708350i | ||||||
\(441\) | 424.631 | + | 119.037i | 0.962881 | + | 0.269925i | ||||
\(442\) | −15.1384 | −0.0342497 | ||||||||
\(443\) | 401.440 | − | 231.772i | 0.906186 | − | 0.523187i | 0.0269838 | − | 0.999636i | \(-0.491410\pi\) |
0.879202 | + | 0.476449i | \(0.158076\pi\) | |||||||
\(444\) | 73.8713 | + | 237.342i | 0.166377 | + | 0.534554i | ||||
\(445\) | −85.1547 | + | 147.492i | −0.191359 | + | 0.331443i | ||||
\(446\) | 0.941998i | 0.00211210i | ||||||||
\(447\) | 15.3593 | − | 68.0906i | 0.0343609 | − | 0.152328i | ||||
\(448\) | −442.436 | + | 37.7875i | −0.987580 | + | 0.0843471i | ||||
\(449\) | 584.536i | 1.30186i | 0.759137 | + | 0.650931i | \(0.225621\pi\) | ||||
−0.759137 | + | 0.650931i | \(0.774379\pi\) | |||||||
\(450\) | 5.76884 | − | 0.461807i | 0.0128196 | − | 0.00102624i | ||||
\(451\) | −187.991 | − | 325.611i | −0.416832 | − | 0.721975i | ||||
\(452\) | 167.147i | 0.369795i | ||||||||
\(453\) | −173.463 | − | 39.1284i | −0.382921 | − | 0.0863762i | ||||
\(454\) | −0.646619 | − | 1.11998i | −0.00142427 | − | 0.00246691i | ||||
\(455\) | −279.907 | + | 195.133i | −0.615181 | + | 0.428863i | ||||
\(456\) | 9.98797 | + | 9.22036i | 0.0219034 | + | 0.0202201i | ||||
\(457\) | 207.017 | + | 358.563i | 0.452991 | + | 0.784603i | 0.998570 | − | 0.0534563i | \(-0.0170238\pi\) |
−0.545580 | + | 0.838059i | \(0.683690\pi\) | |||||||
\(458\) | 7.46371 | − | 4.30917i | 0.0162963 | − | 0.00940867i | ||||
\(459\) | −440.949 | − | 63.0287i | −0.960674 | − | 0.137317i | ||||
\(460\) | 227.332 | − | 393.751i | 0.494201 | − | 0.855981i | ||||
\(461\) | 335.821 | + | 193.886i | 0.728462 | + | 0.420578i | 0.817859 | − | 0.575418i | \(-0.195161\pi\) |
−0.0893972 | + | 0.995996i | \(0.528494\pi\) | |||||||
\(462\) | 7.57820 | + | 18.5975i | 0.0164030 | + | 0.0402544i | ||||
\(463\) | −330.230 | − | 571.974i | −0.713239 | − | 1.23537i | −0.963635 | − | 0.267222i | \(-0.913894\pi\) |
0.250396 | − | 0.968143i | \(-0.419439\pi\) | |||||||
\(464\) | − | 592.455i | − | 1.27684i | ||||||
\(465\) | 292.606 | + | 270.119i | 0.629261 | + | 0.580900i | ||||
\(466\) | 10.9148 | 0.0234223 | ||||||||
\(467\) | −752.865 | − | 434.667i | −1.61213 | − | 0.930764i | −0.988876 | − | 0.148746i | \(-0.952476\pi\) |
−0.623255 | − | 0.782019i | \(-0.714190\pi\) | |||||||
\(468\) | 388.165 | + | 184.506i | 0.829412 | + | 0.394244i | ||||
\(469\) | −255.981 | + | 546.007i | −0.545802 | + | 1.16419i | ||||
\(470\) | 21.4122 | + | 12.3624i | 0.0455580 | + | 0.0263029i | ||||
\(471\) | 192.082 | − | 208.073i | 0.407816 | − | 0.441768i | ||||
\(472\) | 13.2248 | − | 22.9061i | 0.0280187 | − | 0.0485298i | ||||
\(473\) | −275.952 | − | 159.321i | −0.583408 | − | 0.336831i | ||||
\(474\) | −4.57654 | − | 4.22482i | −0.00965515 | − | 0.00891312i | ||||
\(475\) | −30.9373 | + | 53.5851i | −0.0651313 | + | 0.112811i | ||||
\(476\) | −39.2513 | − | 459.575i | −0.0824608 | − | 0.965494i | ||||
\(477\) | −638.088 | + | 51.0802i | −1.33771 | + | 0.107086i | ||||
\(478\) | 9.10748 | − | 15.7746i | 0.0190533 | − | 0.0330013i | ||||
\(479\) | − | 148.188i | − | 0.309369i | −0.987964 | − | 0.154685i | \(-0.950564\pi\) | ||
0.987964 | − | 0.154685i | \(-0.0494361\pi\) | |||||||
\(480\) | −30.5034 | + | 33.0428i | −0.0635487 | + | 0.0688392i | ||||
\(481\) | 248.027 | 0.515649 | ||||||||
\(482\) | 10.5080 | − | 6.06678i | 0.0218008 | − | 0.0125867i | ||||
\(483\) | −79.8793 | + | 580.879i | −0.165382 | + | 1.20265i | ||||
\(484\) | 68.4033 | − | 118.478i | 0.141329 | − | 0.244789i | ||||
\(485\) | 47.0437 | + | 27.1607i | 0.0969974 | + | 0.0560015i | ||||
\(486\) | −15.5417 | − | 10.3094i | −0.0319787 | − | 0.0212127i | ||||
\(487\) | 66.1378 | + | 114.554i | 0.135807 | + | 0.235224i | 0.925905 | − | 0.377756i | \(-0.123304\pi\) |
−0.790099 | + | 0.612980i | \(0.789971\pi\) | |||||||
\(488\) | −11.9405 | + | 6.89386i | −0.0244683 | + | 0.0141268i | ||||
\(489\) | −158.166 | + | 171.333i | −0.323448 | + | 0.350375i | ||||
\(490\) | 9.80683 | + | 11.7859i | 0.0200139 | + | 0.0240528i | ||||
\(491\) | 293.673 | − | 169.552i | 0.598111 | − | 0.345320i | −0.170187 | − | 0.985412i | \(-0.554437\pi\) |
0.768298 | + | 0.640092i | \(0.221104\pi\) | |||||||
\(492\) | −79.5606 | + | 352.706i | −0.161708 | + | 0.716883i | ||||
\(493\) | 613.584 | 1.24459 | ||||||||
\(494\) | 5.86878 | − | 3.38834i | 0.0118801 | − | 0.00685900i | ||||
\(495\) | −412.918 | − | 196.272i | −0.834178 | − | 0.396510i | ||||
\(496\) | 518.641 | 1.04565 | ||||||||
\(497\) | 61.2107 | + | 716.687i | 0.123160 | + | 1.44203i | ||||
\(498\) | −9.45056 | − | 2.13178i | −0.0189770 | − | 0.00428068i | ||||
\(499\) | 188.695 | 0.378147 | 0.189074 | − | 0.981963i | \(-0.439452\pi\) | ||||
0.189074 | + | 0.981963i | \(0.439452\pi\) | |||||||
\(500\) | −470.709 | − | 271.764i | −0.941418 | − | 0.543528i | ||||
\(501\) | −547.563 | + | 170.426i | −1.09294 | + | 0.340171i | ||||
\(502\) | −17.7529 | − | 30.7489i | −0.0353643 | − | 0.0612527i | ||||
\(503\) | 400.956i | 0.797130i | 0.917140 | + | 0.398565i | \(0.130492\pi\) | ||||
−0.917140 | + | 0.398565i | \(0.869508\pi\) | |||||||
\(504\) | 13.5628 | − | 36.1956i | 0.0269104 | − | 0.0718166i | ||||
\(505\) | −650.439 | −1.28800 | ||||||||
\(506\) | −23.1238 | + | 13.3505i | −0.0456991 | + | 0.0263844i | ||||
\(507\) | −53.0155 | + | 57.4291i | −0.104567 | + | 0.113272i | ||||
\(508\) | −168.995 | + | 292.708i | −0.332667 | + | 0.576197i | ||||
\(509\) | − | 701.173i | − | 1.37755i | −0.724975 | − | 0.688775i | \(-0.758149\pi\) | ||
0.724975 | − | 0.688775i | \(-0.241851\pi\) | |||||||
\(510\) | −11.3791 | − | 10.5045i | −0.0223119 | − | 0.0205971i | ||||
\(511\) | −3.23235 | − | 4.63663i | −0.00632554 | − | 0.00907364i | ||||
\(512\) | 97.6614i | 0.190745i | ||||||||
\(513\) | 185.053 | − | 74.2607i | 0.360727 | − | 0.144758i | ||||
\(514\) | −4.40712 | − | 7.63336i | −0.00857417 | − | 0.0148509i | ||||
\(515\) | − | 726.705i | − | 1.41108i | ||||||
\(516\) | 91.0643 | + | 292.582i | 0.176481 | + | 0.567019i | ||||
\(517\) | 492.276 | + | 852.646i | 0.952177 | + | 1.64922i | ||||
\(518\) | −0.948427 | − | 11.1047i | −0.00183094 | − | 0.0214376i | ||||
\(519\) | −79.9953 | + | 24.8981i | −0.154134 | + | 0.0479732i | ||||
\(520\) | 14.9534 | + | 25.9000i | 0.0287565 | + | 0.0498078i | ||||
\(521\) | 520.208 | − | 300.342i | 0.998480 | − | 0.576472i | 0.0906815 | − | 0.995880i | \(-0.471095\pi\) |
0.907798 | + | 0.419407i | \(0.137762\pi\) | |||||||
\(522\) | 23.2028 | + | 11.0290i | 0.0444498 | + | 0.0211283i | ||||
\(523\) | −313.375 | + | 542.781i | −0.599187 | + | 1.03782i | 0.393754 | + | 0.919216i | \(0.371176\pi\) |
−0.992941 | + | 0.118607i | \(0.962157\pi\) | |||||||
\(524\) | −647.204 | − | 373.663i | −1.23512 | − | 0.713098i | ||||
\(525\) | 174.305 | + | 23.9695i | 0.332009 | + | 0.0456561i | ||||
\(526\) | −1.29811 | − | 2.24839i | −0.00246789 | − | 0.00427450i | ||||
\(527\) | 537.138i | 1.01924i | ||||||||
\(528\) | −568.539 | + | 176.954i | −1.07678 | + | 0.335141i | ||||
\(529\) | −250.594 | −0.473713 | ||||||||
\(530\) | −19.2738 | − | 11.1277i | −0.0363657 | − | 0.0209957i | ||||
\(531\) | −220.187 | − | 319.455i | −0.414665 | − | 0.601611i | ||||
\(532\) | 118.081 | + | 169.381i | 0.221957 | + | 0.318385i | ||||
\(533\) | 312.441 | + | 180.388i | 0.586193 | + | 0.338438i | ||||
\(534\) | −9.38254 | − | 2.11644i | −0.0175703 | − | 0.00396336i | ||||
\(535\) | −229.984 | + | 398.343i | −0.429876 | + | 0.744567i | ||||
\(536\) | 45.7740 | + | 26.4276i | 0.0853993 | + | 0.0493053i | ||||
\(537\) | 162.427 | − | 50.5544i | 0.302471 | − | 0.0941423i | ||||
\(538\) | 1.93574 | − | 3.35280i | 0.00359803 | − | 0.00623197i | ||||
\(539\) | 103.535 | + | 601.698i | 0.192087 | + | 1.11632i | ||||
\(540\) | 163.742 | + | 408.035i | 0.303227 | + | 0.755621i | ||||
\(541\) | 413.819 | − | 716.755i | 0.764915 | − | 1.32487i | −0.175377 | − | 0.984501i | \(-0.556114\pi\) |
0.940292 | − | 0.340370i | \(-0.110552\pi\) | |||||||
\(542\) | − | 31.2232i | − | 0.0576074i | ||||||
\(543\) | −239.477 | − | 54.0193i | −0.441027 | − | 0.0994831i | ||||
\(544\) | −60.6568 | −0.111502 | ||||||||
\(545\) | 713.609 | − | 412.002i | 1.30937 | − | 0.755967i | ||||
\(546\) | −15.2201 | − | 11.8187i | −0.0278757 | − | 0.0216459i | ||||
\(547\) | −131.228 | + | 227.294i | −0.239905 | + | 0.415528i | −0.960687 | − | 0.277634i | \(-0.910450\pi\) |
0.720782 | + | 0.693162i | \(0.243783\pi\) | |||||||
\(548\) | 200.806 | + | 115.935i | 0.366434 | + | 0.211561i | ||||
\(549\) | 16.1389 | + | 201.606i | 0.0293970 | + | 0.367223i | ||||
\(550\) | 4.00610 | + | 6.93877i | 0.00728382 | + | 0.0126159i | ||||
\(551\) | −237.872 | + | 137.335i | −0.431709 | + | 0.249247i | ||||
\(552\) | 50.1330 | + | 11.3086i | 0.0908206 | + | 0.0204866i | ||||
\(553\) | −108.291 | − | 155.337i | −0.195824 | − | 0.280898i | ||||
\(554\) | −5.21622 | + | 3.01159i | −0.00941556 | + | 0.00543608i | ||||
\(555\) | 186.434 | + | 172.106i | 0.335918 | + | 0.310101i | ||||
\(556\) | −145.295 | −0.261321 | ||||||||
\(557\) | −65.3868 | + | 37.7511i | −0.117391 | + | 0.0677757i | −0.557546 | − | 0.830146i | \(-0.688257\pi\) |
0.440155 | + | 0.897922i | \(0.354924\pi\) | |||||||
\(558\) | −9.65488 | + | 20.3120i | −0.0173027 | + | 0.0364014i | ||||
\(559\) | 305.754 | 0.546966 | ||||||||
\(560\) | −372.928 | + | 259.980i | −0.665942 | + | 0.464251i | ||||
\(561\) | −183.265 | − | 588.815i | −0.326676 | − | 1.04958i | ||||
\(562\) | −11.0569 | −0.0196743 | ||||||||
\(563\) | −106.720 | − | 61.6147i | −0.189556 | − | 0.109440i | 0.402219 | − | 0.915544i | \(-0.368239\pi\) |
−0.591775 | + | 0.806104i | \(0.701572\pi\) | |||||||
\(564\) | 208.338 | − | 923.599i | 0.369393 | − | 1.63759i | ||||
\(565\) | 85.3073 | + | 147.757i | 0.150986 | + | 0.261516i | ||||
\(566\) | 15.1929i | 0.0268425i | ||||||||
\(567\) | −394.123 | − | 407.622i | −0.695103 | − | 0.718910i | ||||
\(568\) | 63.0456 | 0.110996 | ||||||||
\(569\) | −283.603 | + | 163.738i | −0.498423 | + | 0.287764i | −0.728062 | − | 0.685511i | \(-0.759579\pi\) |
0.229639 | + | 0.973276i | \(0.426245\pi\) | |||||||
\(570\) | 6.76256 | + | 1.52544i | 0.0118641 | + | 0.00267621i | ||||
\(571\) | 304.856 | − | 528.025i | 0.533898 | − | 0.924738i | −0.465318 | − | 0.885144i | \(-0.654060\pi\) |
0.999216 | − | 0.0395945i | \(-0.0126066\pi\) | |||||||
\(572\) | 595.013i | 1.04023i | ||||||||
\(573\) | 468.054 | − | 145.679i | 0.816848 | − | 0.254239i | ||||
\(574\) | 6.88159 | − | 14.6784i | 0.0119888 | − | 0.0255721i | ||||
\(575\) | 233.934i | 0.406841i | ||||||||
\(576\) | 515.631 | + | 245.094i | 0.895192 | + | 0.425511i | ||||
\(577\) | −27.1341 | − | 46.9976i | −0.0470261 | − | 0.0814517i | 0.841554 | − | 0.540173i | \(-0.181641\pi\) |
−0.888580 | + | 0.458721i | \(0.848308\pi\) | |||||||
\(578\) | 1.29201i | 0.00223530i | ||||||||
\(579\) | −665.098 | + | 720.468i | −1.14870 | + | 1.24433i | ||||
\(580\) | −302.820 | − | 524.499i | −0.522103 | − | 0.904309i | ||||
\(581\) | −266.682 | − | 125.027i | −0.459004 | − | 0.215192i | ||||
\(582\) | −0.675053 | + | 2.99263i | −0.00115988 | + | 0.00514198i | ||||
\(583\) | −443.112 | − | 767.493i | −0.760055 | − | 1.31645i | ||||
\(584\) | −0.429031 | + | 0.247701i | −0.000734642 | + | 0.000424146i | ||||
\(585\) | 437.301 | − | 35.0068i | 0.747523 | − | 0.0598407i | ||||
\(586\) | −11.0288 | + | 19.1024i | −0.0188204 | + | 0.0325979i | ||||
\(587\) | 134.422 | + | 77.6088i | 0.228999 | + | 0.132213i | 0.610110 | − | 0.792317i | \(-0.291125\pi\) |
−0.381111 | + | 0.924529i | \(0.624459\pi\) | |||||||
\(588\) | 319.331 | − | 492.701i | 0.543080 | − | 0.837927i | ||||
\(589\) | −120.225 | − | 208.235i | −0.204117 | − | 0.353541i | ||||
\(590\) | − | 13.4892i | − | 0.0228631i | ||||||
\(591\) | 172.972 | − | 766.818i | 0.292678 | − | 1.29749i | ||||
\(592\) | 330.453 | 0.558197 | ||||||||
\(593\) | 411.343 | + | 237.489i | 0.693665 | + | 0.400488i | 0.804984 | − | 0.593297i | \(-0.202174\pi\) |
−0.111318 | + | 0.993785i | \(0.535507\pi\) | |||||||
\(594\) | 3.65355 | − | 25.5603i | 0.00615076 | − | 0.0430308i | ||||
\(595\) | −269.252 | − | 386.228i | −0.452525 | − | 0.649122i | ||||
\(596\) | −80.4810 | − | 46.4657i | −0.135035 | − | 0.0779626i | ||||
\(597\) | −89.2216 | − | 286.661i | −0.149450 | − | 0.480170i | ||||
\(598\) | 12.8105 | − | 22.1885i | 0.0214223 | − | 0.0371045i | ||||
\(599\) | 654.315 | + | 377.769i | 1.09234 | + | 0.630666i | 0.934200 | − | 0.356750i | \(-0.116115\pi\) |
0.158145 | + | 0.987416i | \(0.449449\pi\) | |||||||
\(600\) | 3.39338 | − | 15.0434i | 0.00565563 | − | 0.0250724i | ||||
\(601\) | −118.651 | + | 205.509i | −0.197422 | + | 0.341945i | −0.947692 | − | 0.319187i | \(-0.896590\pi\) |
0.750270 | + | 0.661132i | \(0.229924\pi\) | |||||||
\(602\) | −1.16917 | − | 13.6892i | −0.00194214 | − | 0.0227396i | ||||
\(603\) | 638.379 | − | 440.008i | 1.05867 | − | 0.729698i | ||||
\(604\) | −118.373 | + | 205.028i | −0.195982 | + | 0.339451i | ||||
\(605\) | − | 139.645i | − | 0.230818i | ||||||
\(606\) | −10.9166 | − | 35.0742i | −0.0180142 | − | 0.0578782i | ||||
\(607\) | −483.094 | −0.795871 | −0.397935 | − | 0.917413i | \(-0.630273\pi\) | ||||
−0.397935 | + | 0.917413i | \(0.630273\pi\) | |||||||
\(608\) | 23.5152 | − | 13.5765i | 0.0386763 | − | 0.0223298i | ||||
\(609\) | 616.897 | + | 479.030i | 1.01297 | + | 0.786585i | ||||
\(610\) | −3.51584 | + | 6.08962i | −0.00576368 | + | 0.00998298i | ||||
\(611\) | −818.159 | − | 472.365i | −1.33905 | − | 0.773101i | ||||
\(612\) | −254.589 | + | 535.606i | −0.415995 | + | 0.875173i | ||||
\(613\) | 27.9363 | + | 48.3870i | 0.0455730 | + | 0.0789348i | 0.887912 | − | 0.460013i | \(-0.152155\pi\) |
−0.842339 | + | 0.538948i | \(0.818822\pi\) | |||||||
\(614\) | 6.19428 | − | 3.57627i | 0.0100884 | − | 0.00582454i | ||||
\(615\) | 109.681 | + | 352.395i | 0.178343 | + | 0.573000i | ||||
\(616\) | 53.3192 | − | 4.55388i | 0.0865571 | − | 0.00739266i | ||||
\(617\) | 356.111 | − | 205.601i | 0.577165 | − | 0.333226i | −0.182841 | − | 0.983143i | \(-0.558529\pi\) |
0.760006 | + | 0.649916i | \(0.225196\pi\) | |||||||
\(618\) | 39.1867 | − | 12.1966i | 0.0634090 | − | 0.0197357i | ||||
\(619\) | 468.969 | 0.757624 | 0.378812 | − | 0.925474i | \(-0.376333\pi\) | ||||
0.378812 | + | 0.925474i | \(0.376333\pi\) | |||||||
\(620\) | 459.152 | − | 265.092i | 0.740568 | − | 0.427567i | ||||
\(621\) | 465.525 | − | 592.967i | 0.749638 | − | 0.954859i | ||||
\(622\) | −0.487308 | −0.000783454 | ||||||||
\(623\) | −264.762 | − | 124.127i | −0.424979 | − | 0.199241i | ||||
\(624\) | 387.556 | − | 419.820i | 0.621083 | − | 0.672788i | ||||
\(625\) | −345.345 | −0.552552 | ||||||||
\(626\) | −30.4363 | − | 17.5724i | −0.0486203 | − | 0.0280710i | ||||
\(627\) | 202.839 | + | 187.250i | 0.323507 | + | 0.298644i | ||||
\(628\) | −188.507 | − | 326.504i | −0.300170 | − | 0.519910i | ||||
\(629\) | 342.238i | 0.544099i | ||||||||
\(630\) | −3.23951 | − | 19.4450i | −0.00514209 | − | 0.0308651i | ||||
\(631\) | 7.39326 | 0.0117167 | 0.00585836 | − | 0.999983i | \(-0.498135\pi\) | ||||
0.00585836 | + | 0.999983i | \(0.498135\pi\) | |||||||
\(632\) | −14.3734 | + | 8.29851i | −0.0227428 | + | 0.0131306i | ||||
\(633\) | −221.719 | − | 712.362i | −0.350266 | − | 1.12538i | ||||
\(634\) | −19.7855 | + | 34.2694i | −0.0312073 | + | 0.0540527i | ||||
\(635\) | 345.002i | 0.543310i | ||||||||
\(636\) | −187.531 | + | 831.360i | −0.294861 | + | 1.30717i | ||||
\(637\) | −374.718 | − | 450.336i | −0.588254 | − | 0.706964i | ||||
\(638\) | 35.5673i | 0.0557481i | ||||||||
\(639\) | 397.021 | − | 835.253i | 0.621315 | − | 1.30713i | ||||
\(640\) | 39.9045 | + | 69.1166i | 0.0623507 | + | 0.107995i | ||||
\(641\) | − | 632.517i | − | 0.986765i | −0.869812 | − | 0.493383i | \(-0.835760\pi\) | ||
0.869812 | − | 0.493383i | \(-0.164240\pi\) | |||||||
\(642\) | −25.3401 | − | 5.71601i | −0.0394706 | − | 0.00890345i | ||||
\(643\) | −203.977 | − | 353.299i | −0.317227 | − | 0.549454i | 0.662681 | − | 0.748902i | \(-0.269419\pi\) |
−0.979908 | + | 0.199448i | \(0.936085\pi\) | |||||||
\(644\) | 706.820 | + | 331.374i | 1.09755 | + | 0.514557i | ||||
\(645\) | 229.826 | + | 212.163i | 0.356319 | + | 0.328935i | ||||
\(646\) | 4.67538 | + | 8.09799i | 0.00723743 | + | 0.0125356i | ||||
\(647\) | −134.044 | + | 77.3904i | −0.207178 | + | 0.119614i | −0.599999 | − | 0.800001i | \(-0.704832\pi\) |
0.392821 | + | 0.919615i | \(0.371499\pi\) | |||||||
\(648\) | −38.5377 | + | 31.3789i | −0.0594718 | + | 0.0484242i | ||||
\(649\) | 268.574 | − | 465.184i | 0.413827 | − | 0.716770i | ||||
\(650\) | −6.65812 | − | 3.84407i | −0.0102433 | − | 0.00591395i | ||||
\(651\) | −419.348 | + | 540.039i | −0.644160 | + | 0.829552i | ||||
\(652\) | 155.223 | + | 268.853i | 0.238071 | + | 0.412352i | ||||
\(653\) | 417.483i | 0.639331i | 0.947530 | + | 0.319666i | \(0.103571\pi\) | ||||
−0.947530 | + | 0.319666i | \(0.896429\pi\) | |||||||
\(654\) | 34.1936 | + | 31.5657i | 0.0522838 | + | 0.0482656i | ||||
\(655\) | −762.830 | −1.16463 | ||||||||
\(656\) | 416.273 | + | 240.335i | 0.634562 | + | 0.366364i | ||||
\(657\) | 0.579884 | + | 7.24384i | 0.000882624 | + | 0.0110256i | ||||
\(658\) | −18.0202 | + | 38.4369i | −0.0273863 | + | 0.0584148i | ||||
\(659\) | −553.079 | − | 319.320i | −0.839270 | − | 0.484553i | 0.0177460 | − | 0.999843i | \(-0.494351\pi\) |
−0.857016 | + | 0.515290i | \(0.827684\pi\) | |||||||
\(660\) | −412.880 | + | 447.253i | −0.625576 | + | 0.677656i | ||||
\(661\) | −197.794 | + | 342.589i | −0.299234 | + | 0.518289i | −0.975961 | − | 0.217946i | \(-0.930064\pi\) |
0.676727 | + | 0.736234i | \(0.263398\pi\) | |||||||
\(662\) | −19.7576 | − | 11.4071i | −0.0298453 | − | 0.0172312i | ||||
\(663\) | 434.792 | + | 401.377i | 0.655795 | + | 0.605396i | ||||
\(664\) | −12.9078 | + | 22.3570i | −0.0194395 | + | 0.0336702i | ||||
\(665\) | 190.830 | + | 89.4657i | 0.286962 | + | 0.134535i | ||||
\(666\) | −6.15162 | + | 12.9418i | −0.00923666 | + | 0.0194321i | ||||
\(667\) | −519.232 | + | 899.336i | −0.778459 | + | 1.34833i | ||||
\(668\) | 763.503i | 1.14297i | ||||||||
\(669\) | 24.9760 | − | 27.0553i | 0.0373333 | − | 0.0404414i | ||||
\(670\) | 26.9560 | 0.0402328 | ||||||||
\(671\) | −242.492 | + | 140.003i | −0.361388 | + | 0.208648i | ||||
\(672\) | −60.9844 | − | 47.3553i | −0.0907506 | − | 0.0704692i | ||||
\(673\) | −367.518 | + | 636.559i | −0.546089 | + | 0.945854i | 0.452449 | + | 0.891790i | \(0.350551\pi\) |
−0.998538 | + | 0.0540632i | \(0.982783\pi\) | |||||||
\(674\) | −7.64256 | − | 4.41243i | −0.0113391 | − | 0.00654664i | ||||
\(675\) | −177.932 | − | 139.691i | −0.263603 | − | 0.206949i | ||||
\(676\) | 52.0289 | + | 90.1167i | 0.0769659 | + | 0.133309i | ||||
\(677\) | 215.824 | − | 124.606i | 0.318795 | − | 0.184057i | −0.332060 | − | 0.943258i | \(-0.607744\pi\) |
0.650855 | + | 0.759202i | \(0.274410\pi\) | |||||||
\(678\) | −6.53585 | + | 7.07996i | −0.00963989 | + | 0.0104424i | ||||
\(679\) | −39.5912 | + | 84.4478i | −0.0583081 | + | 0.124371i | ||||
\(680\) | −35.7379 | + | 20.6333i | −0.0525558 | + | 0.0303431i | ||||
\(681\) | −11.1233 | + | 49.3115i | −0.0163337 | + | 0.0724104i | ||||
\(682\) | −31.1360 | −0.0456540 | ||||||||
\(683\) | −863.031 | + | 498.271i | −1.26359 | + | 0.729533i | −0.973767 | − | 0.227548i | \(-0.926929\pi\) |
−0.289821 | + | 0.957081i | \(0.593596\pi\) | |||||||
\(684\) | −21.1837 | − | 264.625i | −0.0309704 | − | 0.386878i | ||||
\(685\) | 236.681 | 0.345519 | ||||||||
\(686\) | −18.7296 | + | 18.4989i | −0.0273026 | + | 0.0269664i | ||||
\(687\) | −328.619 | − | 74.1272i | −0.478340 | − | 0.107900i | ||||
\(688\) | 407.363 | 0.592098 | ||||||||
\(689\) | 736.450 | + | 425.190i | 1.06887 | + | 0.617111i | ||||
\(690\) | 25.0259 | − | 7.78916i | 0.0362694 | − | 0.0112886i | ||||
\(691\) | −84.0927 | − | 145.653i | −0.121697 | − | 0.210786i | 0.798740 | − | 0.601676i | \(-0.205500\pi\) |
−0.920437 | + | 0.390891i | \(0.872167\pi\) | |||||||
\(692\) | 111.543i | 0.161189i | ||||||||
\(693\) | 275.438 | − | 735.071i | 0.397458 | − | 1.06071i | ||||
\(694\) | 34.8172 | 0.0501689 | ||||||||
\(695\) | −128.439 | + | 74.1544i | −0.184805 | + | 0.106697i | ||||
\(696\) | 46.4355 | − | 50.3013i | 0.0667177 | − | 0.0722720i | ||||
\(697\) | −248.906 | + | 431.118i | −0.357111 | + | 0.618534i | ||||
\(698\) | 40.2561i | 0.0576734i | ||||||||
\(699\) | −313.486 | − | 289.394i | −0.448478 | − | 0.414011i | ||||
\(700\) | 99.4358 | − | 212.096i | 0.142051 | − | 0.302994i | ||||
\(701\) | 240.389i | 0.342923i | 0.985191 | + | 0.171462i | \(0.0548489\pi\) | ||||
−0.985191 | + | 0.171462i | \(0.945151\pi\) | |||||||
\(702\) | 9.22713 | + | 22.9934i | 0.0131441 | + | 0.0327541i | ||||
\(703\) | −76.6013 | − | 132.677i | −0.108963 | − | 0.188730i | ||||
\(704\) | 790.404i | 1.12273i | ||||||||
\(705\) | −287.211 | − | 922.783i | −0.407391 | − | 1.30891i | ||||
\(706\) | 19.3995 | + | 33.6010i | 0.0274781 | + | 0.0475935i | ||||
\(707\) | −95.0358 | − | 1112.73i | −0.134421 | − | 1.57387i | ||||
\(708\) | −493.217 | + | 153.511i | −0.696634 | + | 0.216823i | ||||
\(709\) | −365.324 | − | 632.760i | −0.515267 | − | 0.892468i | −0.999843 | − | 0.0177190i | \(-0.994360\pi\) |
0.484576 | − | 0.874749i | \(-0.338974\pi\) | |||||||
\(710\) | 27.8454 | − | 16.0765i | 0.0392188 | − | 0.0226430i | ||||
\(711\) | 19.4273 | + | 242.684i | 0.0273239 | + | 0.341327i | ||||
\(712\) | −12.8149 | + | 22.1961i | −0.0179985 | + | 0.0311743i | ||||
\(713\) | −787.289 | − | 454.541i | −1.10419 | − | 0.637505i | ||||
\(714\) | 16.3079 | − | 21.0014i | 0.0228402 | − | 0.0294137i | ||||
\(715\) | 303.678 | + | 525.986i | 0.424725 | + | 0.735645i | ||||
\(716\) | − | 226.483i | − | 0.316317i | ||||||
\(717\) | −679.824 | + | 211.591i | −0.948150 | + | 0.295106i | ||||
\(718\) | 3.85290 | 0.00536615 | ||||||||
\(719\) | 474.766 | + | 274.106i | 0.660315 | + | 0.381233i | 0.792397 | − | 0.610006i | \(-0.208833\pi\) |
−0.132082 | + | 0.991239i | \(0.542166\pi\) | |||||||
\(720\) | 582.627 | − | 46.6405i | 0.809204 | − | 0.0647784i | ||||
\(721\) | 1243.20 | − | 106.179i | 1.72427 | − | 0.147266i | ||||
\(722\) | 20.3695 | + | 11.7603i | 0.0282126 | + | 0.0162886i | ||||
\(723\) | −462.656 | − | 104.362i | −0.639911 | − | 0.144346i | ||||
\(724\) | −163.422 | + | 283.055i | −0.225721 | + | 0.390960i | ||||
\(725\) | 269.865 | + | 155.806i | 0.372227 | + | 0.214905i | ||||
\(726\) | 7.53018 | − | 2.34372i | 0.0103721 | − | 0.00322827i | ||||
\(727\) | 22.9974 | − | 39.8326i | 0.0316333 | − | 0.0547904i | −0.849775 | − | 0.527145i | \(-0.823262\pi\) |
0.881409 | + | 0.472355i | \(0.156596\pi\) | |||||||
\(728\) | −42.1233 | + | 29.3656i | −0.0578616 | + | 0.0403373i | ||||
\(729\) | 173.034 | + | 708.167i | 0.237358 | + | 0.971422i | ||||
\(730\) | −0.126327 | + | 0.218804i | −0.000173050 | + | 0.000299732i | ||||
\(731\) | 421.892i | 0.577143i | ||||||||
\(732\) | 262.671 | + | 59.2511i | 0.358840 | + | 0.0809441i | ||||
\(733\) | −64.3767 | −0.0878263 | −0.0439131 | − | 0.999035i | \(-0.513982\pi\) | ||||
−0.0439131 | + | 0.999035i | \(0.513982\pi\) | |||||||
\(734\) | −39.5132 | + | 22.8129i | −0.0538327 | + | 0.0310803i | ||||
\(735\) | 30.8249 | − | 598.521i | 0.0419387 | − | 0.814314i | ||||
\(736\) | 51.3295 | − | 88.9053i | 0.0697412 | − | 0.120795i | ||||
\(737\) | 929.593 | + | 536.701i | 1.26132 | + | 0.728224i | ||||
\(738\) | −17.1617 | + | 11.8288i | −0.0232543 | + | 0.0160282i | ||||
\(739\) | −329.883 | − | 571.374i | −0.446391 | − | 0.773172i | 0.551757 | − | 0.834005i | \(-0.313958\pi\) |
−0.998148 | + | 0.0608329i | \(0.980624\pi\) | |||||||
\(740\) | 292.549 | − | 168.903i | 0.395337 | − | 0.228248i | ||||
\(741\) | −258.397 | − | 58.2870i | −0.348713 | − | 0.0786599i | ||||
\(742\) | 16.2205 | − | 34.5983i | 0.0218605 | − | 0.0466284i | ||||
\(743\) | 267.309 | − | 154.331i | 0.359769 | − | 0.207713i | −0.309210 | − | 0.950994i | \(-0.600065\pi\) |
0.668980 | + | 0.743281i | \(0.266731\pi\) | |||||||
\(744\) | 44.0343 | + | 40.6502i | 0.0591859 | + | 0.0546373i | ||||
\(745\) | −94.8593 | −0.127328 | ||||||||
\(746\) | −40.4964 | + | 23.3806i | −0.0542847 | + | 0.0313413i | ||||
\(747\) | 214.910 | + | 311.798i | 0.287697 | + | 0.417401i | ||||
\(748\) | −821.024 | −1.09763 | ||||||||
\(749\) | −715.062 | − | 335.239i | −0.954689 | − | 0.447582i | ||||
\(750\) | −9.31153 | − | 29.9171i | −0.0124154 | − | 0.0398895i | ||||
\(751\) | −244.470 | −0.325526 | −0.162763 | − | 0.986665i | \(-0.552041\pi\) | ||||
−0.162763 | + | 0.986665i | \(0.552041\pi\) | |||||||
\(752\) | −1090.05 | − | 629.343i | −1.44954 | − | 0.836893i | ||||
\(753\) | −305.388 | + | 1353.84i | −0.405562 | + | 1.79793i | ||||
\(754\) | −17.0644 | − | 29.5563i | −0.0226318 | − | 0.0391994i | ||||
\(755\) | 241.658i | 0.320076i | ||||||||
\(756\) | −674.116 | + | 339.738i | −0.891688 | + | 0.449389i | ||||
\(757\) | 159.987 | 0.211343 | 0.105671 | − | 0.994401i | \(-0.466301\pi\) | ||||
0.105671 | + | 0.994401i | \(0.466301\pi\) | |||||||
\(758\) | 31.1357 | − | 17.9762i | 0.0410761 | − | 0.0237153i | ||||
\(759\) | 1018.12 | + | 229.658i | 1.34139 | + | 0.302580i | ||||
\(760\) | 9.23649 | − | 15.9981i | 0.0121533 | − | 0.0210501i | ||||
\(761\) | − | 1121.92i | − | 1.47427i | −0.675747 | − | 0.737134i | \(-0.736179\pi\) | ||
0.675747 | − | 0.737134i | \(-0.263821\pi\) | |||||||
\(762\) | −18.6038 | + | 5.79033i | −0.0244145 | + | 0.00759885i | ||||
\(763\) | 809.092 | + | 1160.60i | 1.06041 | + | 1.52110i | ||||
\(764\) | − | 652.639i | − | 0.854239i | ||||||
\(765\) | 48.3039 | + | 603.406i | 0.0631423 | + | 0.788766i | ||||
\(766\) | 16.8610 | + | 29.2041i | 0.0220117 | + | 0.0381254i | ||||
\(767\) | 515.422i | 0.671997i | ||||||||
\(768\) | 513.286 | − | 556.018i | 0.668341 | − | 0.723981i | ||||
\(769\) | −20.2793 | − | 35.1248i | −0.0263710 | − | 0.0456760i | 0.852539 | − | 0.522664i | \(-0.175062\pi\) |
−0.878910 | + | 0.476988i | \(0.841728\pi\) | |||||||
\(770\) | 22.3882 | − | 15.6076i | 0.0290756 | − | 0.0202696i | ||||
\(771\) | −75.8122 | + | 336.089i | −0.0983297 | + | 0.435913i | ||||
\(772\) | 652.721 | + | 1130.55i | 0.845493 | + | 1.46444i | ||||
\(773\) | 720.499 | − | 415.980i | 0.932082 | − | 0.538138i | 0.0446123 | − | 0.999004i | \(-0.485795\pi\) |
0.887469 | + | 0.460867i | \(0.152461\pi\) | |||||||
\(774\) | −7.58336 | + | 15.9539i | −0.00979763 | + | 0.0206123i | ||||
\(775\) | −136.395 | + | 236.242i | −0.175993 | + | 0.304829i | ||||
\(776\) | 7.07962 | + | 4.08742i | 0.00912322 | + | 0.00526729i | ||||
\(777\) | −267.188 | + | 344.086i | −0.343872 | + | 0.442839i | ||||
\(778\) | −10.1930 | − | 17.6549i | −0.0131016 | − | 0.0226926i | ||||
\(779\) | − | 222.846i | − | 0.286066i | ||||||
\(780\) | 128.521 | − | 569.756i | 0.164770 | − | 0.730457i | ||||
\(781\) | 1280.35 | 1.63937 | ||||||||
\(782\) | 30.6166 | + | 17.6765i | 0.0391516 | + | 0.0226042i | ||||
\(783\) | −373.991 | − | 931.961i | −0.477639 | − | 1.19024i | ||||
\(784\) | −499.246 | − | 599.994i | −0.636793 | − | 0.765299i | ||||
\(785\) | −333.277 | − | 192.418i | −0.424557 | − | 0.245118i | ||||
\(786\) | −12.8029 | − | 41.1347i | −0.0162887 | − | 0.0523342i | ||||
\(787\) | 448.874 | − | 777.473i | 0.570361 | − | 0.987895i | −0.426167 | − | 0.904644i | \(-0.640136\pi\) |
0.996529 | − | 0.0832506i | \(-0.0265302\pi\) | |||||||
\(788\) | −906.356 | − | 523.285i | −1.15020 | − | 0.664067i | ||||
\(789\) | −22.3303 | + | 98.9943i | −0.0283020 | + | 0.125468i | ||||
\(790\) | −4.23221 | + | 7.33040i | −0.00535723 | + | 0.00927899i | ||||
\(791\) | −240.308 | + | 167.527i | −0.303803 | + | 0.211791i | ||||
\(792\) | −62.1401 | − | 29.5370i | −0.0784597 | − | 0.0372942i | ||||
\(793\) | 134.340 | − | 232.684i | 0.169407 | − | 0.293422i | ||||
\(794\) | − | 15.1084i | − | 0.0190282i | ||||||
\(795\) | 258.527 | + | 830.625i | 0.325191 | + | 1.04481i | ||||
\(796\) | −399.711 | −0.502149 | ||||||||
\(797\) | −83.2647 | + | 48.0729i | −0.104473 | + | 0.0603173i | −0.551326 | − | 0.834290i | \(-0.685878\pi\) |
0.446853 | + | 0.894607i | \(0.352545\pi\) | |||||||
\(798\) | −1.62155 | + | 11.7918i | −0.00203201 | + | 0.0147767i | ||||
\(799\) | 651.788 | − | 1128.93i | 0.815755 | − | 1.41293i | ||||
\(800\) | −26.6779 | − | 15.4025i | −0.0333474 | − | 0.0192531i | ||||
\(801\) | 213.363 | + | 309.554i | 0.266371 | + | 0.386460i | ||||
\(802\) | −7.09539 | − | 12.2896i | −0.00884712 | − | 0.0153237i | ||||
\(803\) | −8.71290 | + | 5.03039i | −0.0108504 | + | 0.00626450i | ||||
\(804\) | −306.766 | − | 985.613i | −0.381550 | − | 1.22589i | ||||
\(805\) | 793.946 | − | 67.8093i | 0.986269 | − | 0.0842351i | ||||
\(806\) | 25.8739 | − | 14.9383i | 0.0321017 | − | 0.0185339i | ||||
\(807\) | −144.493 | + | 44.9724i | −0.179049 | + | 0.0557279i | ||||
\(808\) | −97.8846 | −0.121144 | ||||||||
\(809\) | −1082.54 | + | 625.002i | −1.33812 | + | 0.772561i | −0.986528 | − | 0.163594i | \(-0.947691\pi\) |
−0.351588 | + | 0.936155i | \(0.614358\pi\) | |||||||
\(810\) | −9.01940 | + | 23.6861i | −0.0111351 | + | 0.0292422i | ||||
\(811\) | −1588.72 | −1.95896 | −0.979479 | − | 0.201545i | \(-0.935404\pi\) | ||||
−0.979479 | + | 0.201545i | \(0.935404\pi\) | |||||||
\(812\) | 853.034 | − | 594.679i | 1.05053 | − | 0.732363i | ||||
\(813\) | −827.848 | + | 896.768i | −1.01826 | + | 1.10304i | ||||
\(814\) | −19.8383 | −0.0243714 | ||||||||
\(815\) | 274.431 | + | 158.443i | 0.336725 | + | 0.194408i | ||||
\(816\) | 579.285 | + | 534.765i | 0.709908 | + | 0.655349i | ||||
\(817\) | −94.4298 | − | 163.557i | −0.115581 | − | 0.200192i | ||||
\(818\) | − | 45.9471i | − | 0.0561700i | ||||||
\(819\) | 123.781 | + | 742.991i | 0.151137 | + | 0.907193i | ||||
\(820\) | 491.367 | 0.599228 | ||||||||
\(821\) | −255.656 | + | 147.603i | −0.311396 | + | 0.179784i | −0.647551 | − | 0.762022i | \(-0.724207\pi\) |
0.336155 | + | 0.941807i | \(0.390873\pi\) | |||||||
\(822\) | 3.97233 | + | 12.7627i | 0.00483251 | + | 0.0155264i | ||||
\(823\) | 673.413 | − | 1166.38i | 0.818241 | − | 1.41724i | −0.0887357 | − | 0.996055i | \(-0.528283\pi\) |
0.906977 | − | 0.421180i | \(-0.138384\pi\) | |||||||
\(824\) | − | 109.362i | − | 0.132721i | ||||||
\(825\) | 68.9137 | − | 305.507i | 0.0835318 | − | 0.370311i | ||||
\(826\) | 23.0765 | − | 1.97091i | 0.0279376 | − | 0.00238609i | ||||
\(827\) | − | 1226.89i | − | 1.48354i | −0.670653 | − | 0.741772i | \(-0.733986\pi\) | ||
0.670653 | − | 0.741772i | \(-0.266014\pi\) | |||||||
\(828\) | −569.602 | − | 826.398i | −0.687925 | − | 0.998065i | ||||
\(829\) | 529.304 | + | 916.782i | 0.638485 | + | 1.10589i | 0.985765 | + | 0.168127i | \(0.0537720\pi\) |
−0.347280 | + | 0.937761i | \(0.612895\pi\) | |||||||
\(830\) | 13.1659i | 0.0158625i | ||||||||
\(831\) | 229.665 | + | 51.8059i | 0.276372 | + | 0.0623417i | ||||
\(832\) | −379.217 | − | 656.824i | −0.455790 | − | 0.789452i | ||||
\(833\) | 621.392 | − | 517.051i | 0.745969 | − | 0.620710i | ||||
\(834\) | −6.15435 | − | 5.68137i | −0.00737931 | − | 0.00681219i | ||||
\(835\) | 389.671 | + | 674.930i | 0.466672 | + | 0.808299i | ||||
\(836\) | 318.291 | − | 183.765i | 0.380731 | − | 0.219815i | ||||
\(837\) | 815.849 | − | 327.396i | 0.974730 | − | 0.391154i | ||||
\(838\) | 11.0506 | − | 19.1402i | 0.0131869 | − | 0.0228404i | ||||
\(839\) | 36.0995 | + | 20.8420i | 0.0430268 | + | 0.0248415i | 0.521359 | − | 0.853337i | \(-0.325425\pi\) |
−0.478332 | + | 0.878179i | \(0.658759\pi\) | |||||||
\(840\) | −52.0395 | − | 7.15619i | −0.0619518 | − | 0.00851928i | ||||
\(841\) | 271.147 | + | 469.640i | 0.322410 | + | 0.558431i | ||||
\(842\) | 8.09810i | 0.00961770i | ||||||||
\(843\) | 317.568 | + | 293.162i | 0.376712 | + | 0.347761i | ||||
\(844\) | −993.294 | −1.17689 | ||||||||
\(845\) | 91.9862 | + | 53.1082i | 0.108859 | + | 0.0628500i | ||||
\(846\) | 44.9396 | − | 30.9750i | 0.0531201 | − | 0.0366135i | ||||
\(847\) | 238.895 | − | 20.4035i | 0.282048 | − | 0.0240891i | ||||
\(848\) | 981.191 | + | 566.491i | 1.15707 | + | 0.668032i | ||||
\(849\) | 402.822 | − | 436.357i | 0.474466 | − | 0.513966i | ||||
\(850\) | 5.30420 | − | 9.18715i | 0.00624024 | − | 0.0108084i | ||||
\(851\) | −501.622 | − | 289.611i | −0.589450 | − | 0.340319i | ||||
\(852\) | −904.706 | − | 835.176i | −1.06186 | − | 0.980254i | ||||
\(853\) | 309.770 | − | 536.537i | 0.363153 | − | 0.629000i | −0.625325 | − | 0.780365i | \(-0.715033\pi\) |
0.988478 | + | 0.151365i | \(0.0483667\pi\) | |||||||
\(854\) | −10.9314 | − | 5.12492i | −0.0128003 | − | 0.00600108i | ||||
\(855\) | −153.783 | − | 223.114i | −0.179864 | − | 0.260952i | ||||
\(856\) | −34.6102 | + | 59.9467i | −0.0404325 | + | 0.0700312i | ||||
\(857\) | − | 815.099i | − | 0.951107i | −0.879687 | − | 0.475554i | \(-0.842248\pi\) | ||
0.879687 | − | 0.475554i | \(-0.157752\pi\) | |||||||
\(858\) | −23.2664 | + | 25.2034i | −0.0271170 | + | 0.0293746i | ||||
\(859\) | 687.626 | 0.800496 | 0.400248 | − | 0.916407i | \(-0.368924\pi\) | ||||
0.400248 | + | 0.916407i | \(0.368924\pi\) | |||||||
\(860\) | 360.638 | − | 208.215i | 0.419347 | − | 0.242110i | ||||
\(861\) | −586.828 | + | 239.123i | −0.681566 | + | 0.277727i | ||||
\(862\) | 10.2140 | − | 17.6911i | 0.0118492 | − | 0.0205233i | ||||
\(863\) | −261.740 | − | 151.116i | −0.303291 | − | 0.175105i | 0.340629 | − | 0.940198i | \(-0.389360\pi\) |
−0.643921 | + | 0.765092i | \(0.722693\pi\) | |||||||
\(864\) | 36.9715 | + | 92.1305i | 0.0427911 | + | 0.106633i | ||||
\(865\) | 56.9284 | + | 98.6028i | 0.0658131 | + | 0.113992i | ||||
\(866\) | −15.6611 | + | 9.04197i | −0.0180845 | + | 0.0104411i | ||||
\(867\) | 34.2561 | − | 37.1079i | 0.0395110 | − | 0.0428004i | ||||
\(868\) | 520.589 | + | 746.755i | 0.599756 | + | 0.860317i | ||||
\(869\) | −291.900 | + | 168.529i | −0.335904 | + | 0.193934i | ||||
\(870\) | 7.68242 | − | 34.0575i | 0.00883037 | − | 0.0391466i | ||||
\(871\) | −1029.99 | −1.18253 | ||||||||
\(872\) | 107.391 | − | 62.0022i | 0.123155 | − | 0.0711035i | ||||
\(873\) | 98.7346 | − | 68.0536i | 0.113098 | − | 0.0779538i | ||||
\(874\) | −15.8257 | −0.0181073 | ||||||||
\(875\) | −81.0624 | − | 949.121i | −0.0926428 | − | 1.08471i | ||||
\(876\) | 9.43794 | + | 2.12893i | 0.0107739 | + | 0.00243029i | ||||
\(877\) | 4.03873 | 0.00460516 | 0.00230258 | − | 0.999997i | \(-0.499267\pi\) | ||||
0.00230258 | + | 0.999997i | \(0.499267\pi\) | |||||||
\(878\) | 41.7021 | + | 24.0767i | 0.0474967 | + | 0.0274222i | ||||
\(879\) | 823.236 | − | 256.227i | 0.936560 | − | 0.291499i | ||||
\(880\) | 404.598 | + | 700.785i | 0.459771 | + | 0.796346i | ||||
\(881\) | − | 34.5348i | − | 0.0391996i | −0.999808 | − | 0.0195998i | \(-0.993761\pi\) | ||
0.999808 | − | 0.0195998i | \(-0.00623920\pi\) | |||||||
\(882\) | 32.7919 | − | 8.38306i | 0.0371790 | − | 0.00950461i | ||||
\(883\) | 1539.71 | 1.74373 | 0.871863 | − | 0.489750i | \(-0.162912\pi\) | ||||
0.871863 | + | 0.489750i | \(0.162912\pi\) | |||||||
\(884\) | 682.268 | − | 393.908i | 0.771797 | − | 0.445597i | ||||
\(885\) | −357.652 | + | 387.427i | −0.404126 | + | 0.437770i | ||||
\(886\) | 17.7883 | − | 30.8103i | 0.0200771 | − | 0.0347746i | ||||
\(887\) | 1331.40i | 1.50102i | 0.660859 | + | 0.750510i | \(0.270192\pi\) | ||||
−0.660859 | + | 0.750510i | \(0.729808\pi\) | |||||||
\(888\) | 28.0565 | + | 25.9003i | 0.0315952 | + | 0.0291670i | ||||
\(889\) | −590.206 | + | 50.4082i | −0.663899 | + | 0.0567022i | ||||
\(890\) | 13.0711i | 0.0146867i | ||||||||
\(891\) | −782.636 | + | 637.252i | −0.878380 | + | 0.715209i | ||||
\(892\) | −24.5112 | − | 42.4547i | −0.0274789 | − | 0.0475949i | ||||
\(893\) | 583.545i | 0.653466i | ||||||||
\(894\) | −1.59207 | − | 5.11518i | −0.00178084 | − | 0.00572168i | ||||
\(895\) | −115.591 | − | 200.209i | −0.129151 | − | 0.223697i | ||||
\(896\) | −112.410 | + | 78.3646i | −0.125457 | + | 0.0874605i | ||||
\(897\) | −956.236 | + | 297.623i | −1.06604 | + | 0.331798i | ||||
\(898\) | 22.4314 | + | 38.8523i | 0.0249793 | + | 0.0432654i | ||||
\(899\) | −1048.71 | + | 605.475i | −1.16653 | + | 0.673499i | ||||
\(900\) | −247.978 | + | 170.921i | −0.275531 | + | 0.189912i | ||||
\(901\) | −586.694 | + | 1016.18i | −0.651159 | + | 1.12784i | ||||
\(902\) | −24.9904 | − | 14.4282i | −0.0277056 | − | 0.0159958i | ||||
\(903\) | −329.374 | + | 424.170i | −0.364756 | + | 0.469734i | ||||
\(904\) | 12.8379 | + | 22.2359i | 0.0142012 | + | 0.0245972i | ||||
\(905\) | 333.624i | 0.368646i | ||||||||
\(906\) | −13.0311 | + | 4.05586i | −0.0143831 | + | 0.00447666i | ||||
\(907\) | 837.355 | 0.923214 | 0.461607 | − | 0.887084i | \(-0.347273\pi\) | ||||
0.461607 | + | 0.887084i | \(0.347273\pi\) | |||||||
\(908\) | 58.2847 | + | 33.6507i | 0.0641902 | + | 0.0370602i | ||||
\(909\) | −616.414 | + | 1296.81i | −0.678123 | + | 1.42664i | ||||
\(910\) | −11.1164 | + | 23.7112i | −0.0122158 | + | 0.0260563i | ||||
\(911\) | 50.4341 | + | 29.1181i | 0.0553612 | + | 0.0319628i | 0.527425 | − | 0.849602i | \(-0.323158\pi\) |
−0.472064 | + | 0.881564i | \(0.656491\pi\) | |||||||
\(912\) | −344.268 | − | 77.6572i | −0.377487 | − | 0.0851504i | ||||
\(913\) | −262.136 | + | 454.034i | −0.287115 | + | 0.497298i | ||||
\(914\) | 27.5195 | + | 15.8884i | 0.0301089 | + | 0.0173834i | ||||
\(915\) | 262.439 | − | 81.6824i | 0.286818 | − | 0.0892704i | ||||
\(916\) | −224.253 | + | 388.418i | −0.244818 | + | 0.424037i | ||||
\(917\) | −111.457 | − | 1305.00i | −0.121545 | − | 1.42312i | ||||
\(918\) | −31.7273 | + | 12.7320i | −0.0345613 | + | 0.0138693i | ||||
\(919\) | 140.456 | − | 243.278i | 0.152836 | − | 0.264720i | −0.779433 | − | 0.626486i | \(-0.784493\pi\) |
0.932269 | + | 0.361766i | \(0.117826\pi\) | |||||||
\(920\) | − | 69.8420i | − | 0.0759152i | ||||||
\(921\) | −272.728 | − | 61.5197i | −0.296122 | − | 0.0667966i | ||||
\(922\) | 29.7613 | 0.0322791 | ||||||||
\(923\) | −1063.97 | + | 614.282i | −1.15273 | + | 0.665528i | ||||
\(924\) | −825.457 | − | 640.980i | −0.893352 | − | 0.693702i | ||||
\(925\) | −86.9040 | + | 150.522i | −0.0939502 | + | 0.162727i | ||||
\(926\) | −43.8987 | − | 25.3449i | −0.0474068 | − | 0.0273703i | ||||
\(927\) | −1448.87 | − | 688.690i | −1.56297 | − | 0.742924i | ||||
\(928\) | −68.3739 | − | 118.427i | −0.0736787 | − | 0.127615i | ||||
\(929\) | −141.488 | + | 81.6879i | −0.152301 | + | 0.0879310i | −0.574214 | − | 0.818705i | \(-0.694692\pi\) |
0.421913 | + | 0.906636i | \(0.361359\pi\) | |||||||
\(930\) | 29.8143 | + | 6.72527i | 0.0320584 | + | 0.00723148i | ||||
\(931\) | −125.170 | + | 339.531i | −0.134447 | + | 0.364695i | ||||
\(932\) | −491.917 | + | 284.008i | −0.527808 | + | 0.304730i | ||||
\(933\) | 13.9961 | + | 12.9204i | 0.0150012 | + | 0.0138483i | ||||
\(934\) | −66.7208 | −0.0714356 | ||||||||
\(935\) | −725.777 | + | 419.028i | −0.776232 | + | 0.448158i | ||||
\(936\) | 65.8094 | − | 5.26818i | 0.0703092 | − | 0.00562840i | ||||
\(937\) | 1117.03 | 1.19213 | 0.596066 | − | 0.802935i | \(-0.296730\pi\) | ||||
0.596066 | + | 0.802935i | \(0.296730\pi\) | |||||||
\(938\) | 3.93855 | + | 46.1146i | 0.00419888 | + | 0.0491627i | ||||
\(939\) | 408.254 | + | 1311.69i | 0.434776 | + | 1.39690i | ||||
\(940\) | −1286.70 | −1.36883 | ||||||||
\(941\) | 557.646 | + | 321.957i | 0.592610 | + | 0.342144i | 0.766129 | − | 0.642687i | \(-0.222180\pi\) |
−0.173519 | + | 0.984831i | \(0.555514\pi\) | |||||||
\(942\) | 4.78235 | − | 21.2010i | 0.00507680 | − | 0.0225064i | ||||
\(943\) | −421.263 | − | 729.649i | −0.446727 | − | 0.773753i | ||||
\(944\) | 686.709i | 0.727446i | ||||||||
\(945\) | −422.519 | + | 644.375i | −0.447110 | + | 0.681879i | ||||
\(946\) | −24.4556 | −0.0258515 | ||||||||
\(947\) | 1144.21 | − | 660.611i | 1.20825 | − | 0.697583i | 0.245873 | − | 0.969302i | \(-0.420925\pi\) |
0.962377 | + | 0.271719i | \(0.0875922\pi\) | |||||||
\(948\) | 316.191 | + | 71.3237i | 0.333535 | + | 0.0752360i | ||||
\(949\) | 4.82693 | − | 8.36049i | 0.00508633 | − | 0.00880979i | ||||
\(950\) | 4.74884i | 0.00499878i | ||||||||
\(951\) | 1476.88 | − | 459.669i | 1.55297 | − | 0.483354i | ||||
\(952\) | −40.5198 | − | 58.1234i | −0.0425628 | − | 0.0610540i | ||||
\(953\) | − | 1182.43i | − | 1.24075i | −0.784307 | − | 0.620373i | \(-0.786981\pi\) | ||
0.784307 | − | 0.620373i | \(-0.213019\pi\) | |||||||
\(954\) | −40.4515 | + | 27.8816i | −0.0424020 | + | 0.0292260i | ||||
\(955\) | −333.089 | − | 576.927i | −0.348784 | − | 0.604112i | ||||
\(956\) | 947.923i | 0.991552i | ||||||||
\(957\) | 943.027 | − | 1021.53i | 0.985399 | − | 1.06743i | ||||
\(958\) | −5.68666 | − | 9.84959i | −0.00593598 | − | 0.0102814i | ||||
\(959\) | 34.5815 | + | 404.898i | 0.0360599 | + | 0.422209i | ||||
\(960\) | 170.725 | − | 756.853i | 0.177838 | − | 0.788389i | ||||
\(961\) | −49.5395 | − | 85.8050i | −0.0515500 | − | 0.0892872i | ||||
\(962\) | 16.4856 | − | 9.51796i | 0.0171368 | − | 0.00989393i | ||||
\(963\) | 576.245 | + | 836.035i | 0.598385 | + | 0.868157i | ||||
\(964\) | −315.721 | + | 546.845i | −0.327512 | + | 0.567267i | ||||
\(965\) | 1154.00 | + | 666.261i | 1.19585 | + | 0.690426i | ||||
\(966\) | 16.9817 | + | 41.6746i | 0.0175794 | + | 0.0431414i | ||||
\(967\) | 345.416 | + | 598.278i | 0.357203 | + | 0.618694i | 0.987492 | − | 0.157666i | \(-0.0503970\pi\) |
−0.630289 | + | 0.776361i | \(0.717064\pi\) | |||||||
\(968\) | − | 21.0151i | − | 0.0217099i | ||||||
\(969\) | 80.4268 | − | 356.546i | 0.0829997 | − | 0.367953i | ||||
\(970\) | 4.16914 | 0.00429808 | ||||||||
\(971\) | 760.475 | + | 439.061i | 0.783188 | + | 0.452174i | 0.837559 | − | 0.546347i | \(-0.183982\pi\) |
−0.0543710 | + | 0.998521i | \(0.517315\pi\) | |||||||
\(972\) | 968.698 | + | 60.2289i | 0.996603 | + | 0.0619639i | ||||
\(973\) | −145.625 | − | 208.891i | −0.149666 | − | 0.214687i | ||||
\(974\) | 8.79195 | + | 5.07604i | 0.00902665 | + | 0.00521154i | ||||
\(975\) | 89.3080 | + | 286.939i | 0.0915979 | + | 0.294296i | ||||
\(976\) | 178.984 | − | 310.010i | 0.183386 | − | 0.317633i | ||||
\(977\) | −50.8709 | − | 29.3703i | −0.0520685 | − | 0.0300618i | 0.473740 | − | 0.880665i | \(-0.342904\pi\) |
−0.525808 | + | 0.850603i | \(0.676237\pi\) | |||||||
\(978\) | −3.93793 | + | 17.4576i | −0.00402652 | + | 0.0178503i | ||||
\(979\) | −260.250 | + | 450.766i | −0.265832 | + | 0.460435i | ||||
\(980\) | −748.655 | − | 275.996i | −0.763934 | − | 0.281628i | ||||
\(981\) | −145.151 | − | 1813.21i | −0.147962 | − | 1.84833i | ||||
\(982\) | 13.0130 | − | 22.5392i | 0.0132515 | − | 0.0229523i | ||||
\(983\) | − | 167.596i | − | 0.170495i | −0.996360 | − | 0.0852474i | \(-0.972832\pi\) | ||
0.996360 | − | 0.0852474i | \(-0.0271681\pi\) | |||||||
\(984\) | 16.5059 | + | 53.0319i | 0.0167743 | + | 0.0538942i | ||||
\(985\) | −1068.28 | −1.08455 | ||||||||
\(986\) | 40.7830 | − | 23.5461i | 0.0413621 | − | 0.0238804i | ||||
\(987\) | 1536.67 | − | 626.170i | 1.55691 | − | 0.634417i | ||||
\(988\) | −176.333 | + | 305.417i | −0.178474 | + | 0.309127i | ||||
\(989\) | −618.371 | − | 357.017i | −0.625248 | − | 0.360987i | ||||
\(990\) | −34.9773 | + | 2.80000i | −0.0353306 | + | 0.00282829i | ||||
\(991\) | −646.870 | − | 1120.41i | −0.652745 | − | 1.13059i | −0.982454 | − | 0.186505i | \(-0.940284\pi\) |
0.329709 | − | 0.944083i | \(-0.393049\pi\) | |||||||
\(992\) | 103.672 | − | 59.8552i | 0.104508 | − | 0.0603379i | ||||
\(993\) | 265.017 | + | 851.476i | 0.266885 | + | 0.857478i | ||||
\(994\) | 31.5712 | + | 45.2871i | 0.0317617 | + | 0.0455604i | ||||
\(995\) | −353.341 | + | 204.001i | −0.355116 | + | 0.205027i | ||||
\(996\) | 481.395 | − | 149.831i | 0.483328 | − | 0.150433i | ||||
\(997\) | −700.770 | −0.702879 | −0.351439 | − | 0.936211i | \(-0.614308\pi\) | ||||
−0.351439 | + | 0.936211i | \(0.614308\pi\) | |||||||
\(998\) | 12.5420 | − | 7.24113i | 0.0125671 | − | 0.00725564i | ||||
\(999\) | 519.819 | − | 208.600i | 0.520339 | − | 0.208809i |
(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 | 63.3.n.b.2.7 | yes | 22 | |
3.2 | odd | 2 | 189.3.n.b.170.5 | 22 | |||
7.2 | even | 3 | 441.3.r.g.344.5 | 22 | |||
7.3 | odd | 6 | 441.3.j.f.263.7 | 22 | |||
7.4 | even | 3 | 63.3.j.b.11.7 | ✓ | 22 | ||
7.5 | odd | 6 | 441.3.r.f.344.5 | 22 | |||
7.6 | odd | 2 | 441.3.n.f.128.7 | 22 | |||
9.4 | even | 3 | 189.3.j.b.44.7 | 22 | |||
9.5 | odd | 6 | 63.3.j.b.23.5 | yes | 22 | ||
21.11 | odd | 6 | 189.3.j.b.116.5 | 22 | |||
63.4 | even | 3 | 189.3.n.b.179.5 | 22 | |||
63.5 | even | 6 | 441.3.r.f.50.5 | 22 | |||
63.23 | odd | 6 | 441.3.r.g.50.5 | 22 | |||
63.32 | odd | 6 | inner | 63.3.n.b.32.7 | yes | 22 | |
63.41 | even | 6 | 441.3.j.f.275.5 | 22 | |||
63.59 | even | 6 | 441.3.n.f.410.7 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
63.3.j.b.11.7 | ✓ | 22 | 7.4 | even | 3 | ||
63.3.j.b.23.5 | yes | 22 | 9.5 | odd | 6 | ||
63.3.n.b.2.7 | yes | 22 | 1.1 | even | 1 | trivial | |
63.3.n.b.32.7 | yes | 22 | 63.32 | odd | 6 | inner | |
189.3.j.b.44.7 | 22 | 9.4 | even | 3 | |||
189.3.j.b.116.5 | 22 | 21.11 | odd | 6 | |||
189.3.n.b.170.5 | 22 | 3.2 | odd | 2 | |||
189.3.n.b.179.5 | 22 | 63.4 | even | 3 | |||
441.3.j.f.263.7 | 22 | 7.3 | odd | 6 | |||
441.3.j.f.275.5 | 22 | 63.41 | even | 6 | |||
441.3.n.f.128.7 | 22 | 7.6 | odd | 2 | |||
441.3.n.f.410.7 | 22 | 63.59 | even | 6 | |||
441.3.r.f.50.5 | 22 | 63.5 | even | 6 | |||
441.3.r.f.344.5 | 22 | 7.5 | odd | 6 | |||
441.3.r.g.50.5 | 22 | 63.23 | odd | 6 | |||
441.3.r.g.344.5 | 22 | 7.2 | even | 3 |