Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 112.1 | ||
Character | \(\chi\) | \(=\) | 605.112 |
Dual form | 605.2.m.e.578.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.665529 | − | 1.30617i | −0.470600 | − | 0.923605i | −0.997292 | − | 0.0735483i | \(-0.976568\pi\) |
0.526691 | − | 0.850057i | \(-0.323432\pi\) | |||||||
\(3\) | −0.130227 | + | 0.822224i | −0.0751869 | + | 0.474711i | 0.921151 | + | 0.389206i | \(0.127250\pi\) |
−0.996338 | + | 0.0855054i | \(0.972750\pi\) | |||||||
\(4\) | −0.0875924 | + | 0.120561i | −0.0437962 | + | 0.0602803i | ||||
\(5\) | −1.11862 | − | 1.93615i | −0.500262 | − | 0.865874i | ||||
\(6\) | 1.16064 | − | 0.377114i | 0.473829 | − | 0.153956i | ||||
\(7\) | 4.16343 | − | 0.659422i | 1.57363 | − | 0.249238i | 0.692253 | − | 0.721655i | \(-0.256618\pi\) |
0.881375 | + | 0.472417i | \(0.156618\pi\) | |||||||
\(8\) | −2.68004 | − | 0.424477i | −0.947538 | − | 0.150075i | ||||
\(9\) | 2.19408 | + | 0.712899i | 0.731359 | + | 0.237633i | ||||
\(10\) | −1.78448 | + | 2.74968i | −0.564302 | + | 0.869525i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.0877208 | − | 0.0877208i | −0.0253228 | − | 0.0253228i | ||||
\(13\) | 0.824787 | − | 0.420250i | 0.228755 | − | 0.116556i | −0.335857 | − | 0.941913i | \(-0.609026\pi\) |
0.564612 | + | 0.825357i | \(0.309026\pi\) | |||||||
\(14\) | −3.63220 | − | 4.99930i | −0.970747 | − | 1.33612i | ||||
\(15\) | 1.73763 | − | 0.667616i | 0.448653 | − | 0.172378i | ||||
\(16\) | 1.32131 | + | 4.06656i | 0.330326 | + | 1.01664i | ||||
\(17\) | −1.71765 | − | 0.875188i | −0.416592 | − | 0.212264i | 0.233115 | − | 0.972449i | \(-0.425108\pi\) |
−0.649707 | + | 0.760185i | \(0.725108\pi\) | |||||||
\(18\) | −0.529052 | − | 3.34030i | −0.124699 | − | 0.787317i | ||||
\(19\) | 4.39439 | − | 3.19271i | 1.00814 | − | 0.732458i | 0.0443230 | − | 0.999017i | \(-0.485887\pi\) |
0.963818 | + | 0.266560i | \(0.0858869\pi\) | |||||||
\(20\) | 0.331406 | + | 0.0347307i | 0.0741047 | + | 0.00776603i | ||||
\(21\) | 3.50915i | 0.765758i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.95998 | − | 1.95998i | 0.408685 | − | 0.408685i | −0.472595 | − | 0.881280i | \(-0.656683\pi\) |
0.881280 | + | 0.472595i | \(0.156683\pi\) | |||||||
\(24\) | 0.698030 | − | 2.14832i | 0.142485 | − | 0.438523i | ||||
\(25\) | −2.49738 | + | 4.33164i | −0.499475 | + | 0.866328i | ||||
\(26\) | −1.09784 | − | 0.797627i | −0.215304 | − | 0.156428i | ||||
\(27\) | −2.00570 | + | 3.93640i | −0.385996 | + | 0.757561i | ||||
\(28\) | −0.285184 | + | 0.559706i | −0.0538948 | + | 0.105774i | ||||
\(29\) | −0.810497 | − | 0.588860i | −0.150505 | − | 0.109349i | 0.509984 | − | 0.860184i | \(-0.329651\pi\) |
−0.660490 | + | 0.750835i | \(0.729651\pi\) | |||||||
\(30\) | −2.02846 | − | 1.82533i | −0.370345 | − | 0.333257i | ||||
\(31\) | 0.131006 | − | 0.403196i | 0.0235294 | − | 0.0724161i | −0.938602 | − | 0.345001i | \(-0.887879\pi\) |
0.962132 | + | 0.272585i | \(0.0878786\pi\) | |||||||
\(32\) | 0.594873 | − | 0.594873i | 0.105160 | − | 0.105160i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.82602i | 0.484658i | ||||||||
\(35\) | −5.93404 | − | 7.32339i | −1.00304 | − | 1.23788i | ||||
\(36\) | −0.278132 | + | 0.202075i | −0.0463553 | + | 0.0336791i | ||||
\(37\) | −0.771690 | − | 4.87226i | −0.126865 | − | 0.800995i | −0.966278 | − | 0.257501i | \(-0.917101\pi\) |
0.839413 | − | 0.543494i | \(-0.182899\pi\) | |||||||
\(38\) | −7.09483 | − | 3.61500i | −1.15093 | − | 0.586430i | ||||
\(39\) | 0.238130 | + | 0.732888i | 0.0381313 | + | 0.117356i | ||||
\(40\) | 2.17610 | + | 5.66380i | 0.344071 | + | 0.895526i | ||||
\(41\) | −0.339428 | − | 0.467182i | −0.0530097 | − | 0.0729616i | 0.781689 | − | 0.623668i | \(-0.214358\pi\) |
−0.834699 | + | 0.550707i | \(0.814358\pi\) | |||||||
\(42\) | 4.58356 | − | 2.33544i | 0.707258 | − | 0.360366i | ||||
\(43\) | −5.05373 | − | 5.05373i | −0.770687 | − | 0.770687i | 0.207540 | − | 0.978227i | \(-0.433454\pi\) |
−0.978227 | + | 0.207540i | \(0.933454\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.07406 | − | 5.04553i | −0.160111 | − | 0.752143i | ||||
\(46\) | −3.86451 | − | 1.25566i | −0.569791 | − | 0.185136i | ||||
\(47\) | −1.17495 | − | 0.186094i | −0.171384 | − | 0.0271446i | 0.0701524 | − | 0.997536i | \(-0.477651\pi\) |
−0.241537 | + | 0.970392i | \(0.577651\pi\) | |||||||
\(48\) | −3.51569 | + | 0.556831i | −0.507447 | + | 0.0803717i | ||||
\(49\) | 10.2419 | − | 3.32780i | 1.46313 | − | 0.475400i | ||||
\(50\) | 7.31996 | + | 0.379176i | 1.03520 | + | 0.0536237i | ||||
\(51\) | 0.943286 | − | 1.29832i | 0.132086 | − | 0.181801i | ||||
\(52\) | −0.0215795 | + | 0.136247i | −0.00299254 | + | 0.0188941i | ||||
\(53\) | −4.12294 | − | 8.09173i | −0.566330 | − | 1.11149i | −0.979615 | − | 0.200883i | \(-0.935619\pi\) |
0.413285 | − | 0.910602i | \(-0.364381\pi\) | |||||||
\(54\) | 6.47647 | 0.881337 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.4381 | −1.52848 | ||||||||
\(57\) | 2.05285 | + | 4.02895i | 0.271907 | + | 0.533647i | ||||
\(58\) | −0.229745 | + | 1.45055i | −0.0301670 | + | 0.190467i | ||||
\(59\) | 5.47214 | − | 7.53175i | 0.712411 | − | 0.980550i | −0.287331 | − | 0.957831i | \(-0.592768\pi\) |
0.999742 | − | 0.0227186i | \(-0.00723217\pi\) | |||||||
\(60\) | −0.0717146 | + | 0.267967i | −0.00925832 | + | 0.0345944i | ||||
\(61\) | −7.40093 | + | 2.40471i | −0.947591 | + | 0.307891i | −0.741737 | − | 0.670691i | \(-0.765998\pi\) |
−0.205855 | + | 0.978583i | \(0.565998\pi\) | |||||||
\(62\) | −0.613832 | + | 0.0972215i | −0.0779568 | + | 0.0123471i | ||||
\(63\) | 9.60498 | + | 1.52128i | 1.21011 | + | 0.191663i | ||||
\(64\) | 6.96021 | + | 2.26151i | 0.870026 | + | 0.282689i | ||||
\(65\) | −1.73629 | − | 1.12681i | −0.215361 | − | 0.139764i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.05526 | − | 3.05526i | −0.373259 | − | 0.373259i | 0.495404 | − | 0.868663i | \(-0.335020\pi\) |
−0.868663 | + | 0.495404i | \(0.835020\pi\) | |||||||
\(68\) | 0.255966 | − | 0.130421i | 0.0310405 | − | 0.0158159i | ||||
\(69\) | 1.35630 | + | 1.86679i | 0.163280 | + | 0.224735i | ||||
\(70\) | −5.61635 | + | 12.6248i | −0.671283 | + | 1.50896i | ||||
\(71\) | 2.65487 | + | 8.17086i | 0.315075 | + | 0.969702i | 0.975723 | + | 0.219006i | \(0.0702816\pi\) |
−0.660648 | + | 0.750696i | \(0.729718\pi\) | |||||||
\(72\) | −5.57761 | − | 2.84193i | −0.657328 | − | 0.334925i | ||||
\(73\) | 0.854195 | + | 5.39318i | 0.0999760 | + | 0.631224i | 0.985893 | + | 0.167379i | \(0.0535304\pi\) |
−0.885917 | + | 0.463844i | \(0.846470\pi\) | |||||||
\(74\) | −5.85044 | + | 4.25059i | −0.680100 | + | 0.494122i | ||||
\(75\) | −3.23635 | − | 2.61750i | −0.373702 | − | 0.302243i | ||||
\(76\) | 0.809447i | 0.0928499i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.798797 | − | 0.798797i | 0.0904460 | − | 0.0904460i | ||||
\(79\) | 0.705861 | − | 2.17242i | 0.0794156 | − | 0.244416i | −0.903464 | − | 0.428663i | \(-0.858985\pi\) |
0.982880 | + | 0.184247i | \(0.0589847\pi\) | |||||||
\(80\) | 6.39544 | − | 7.10719i | 0.715032 | − | 0.794608i | ||||
\(81\) | 2.62377 | + | 1.90628i | 0.291530 | + | 0.211809i | ||||
\(82\) | −0.384322 | + | 0.754275i | −0.0424413 | + | 0.0832957i | ||||
\(83\) | −0.902846 | + | 1.77193i | −0.0991002 | + | 0.194495i | −0.935234 | − | 0.354031i | \(-0.884811\pi\) |
0.836134 | + | 0.548526i | \(0.184811\pi\) | |||||||
\(84\) | −0.423065 | − | 0.307374i | −0.0461601 | − | 0.0335373i | ||||
\(85\) | 0.226904 | + | 4.30464i | 0.0246112 | + | 0.466904i | ||||
\(86\) | −3.23765 | + | 9.96446i | −0.349125 | + | 1.07450i | ||||
\(87\) | 0.589724 | − | 0.589724i | 0.0632250 | − | 0.0632250i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 13.9313i | 1.47671i | 0.674410 | + | 0.738357i | \(0.264398\pi\) | ||||
−0.674410 | + | 0.738357i | \(0.735602\pi\) | |||||||
\(90\) | −5.87553 | + | 4.76086i | −0.619335 | + | 0.501838i | ||||
\(91\) | 3.15682 | − | 2.29356i | 0.330925 | − | 0.240431i | ||||
\(92\) | 0.0646171 | + | 0.407977i | 0.00673680 | + | 0.0425345i | ||||
\(93\) | 0.314457 | + | 0.160224i | 0.0326076 | + | 0.0166144i | ||||
\(94\) | 0.538893 | + | 1.65854i | 0.0555826 | + | 0.171066i | ||||
\(95\) | −11.0972 | − | 4.93678i | −1.13855 | − | 0.506502i | ||||
\(96\) | 0.411650 | + | 0.566587i | 0.0420138 | + | 0.0578271i | ||||
\(97\) | −2.96200 | + | 1.50922i | −0.300746 | + | 0.153238i | −0.597851 | − | 0.801607i | \(-0.703979\pi\) |
0.297105 | + | 0.954845i | \(0.403979\pi\) | |||||||
\(98\) | −11.1630 | − | 11.1630i | −1.12763 | − | 1.12763i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.303474 | − | 0.680504i | −0.0303474 | − | 0.0680504i | ||||
\(101\) | 12.6404 | + | 4.10712i | 1.25777 | + | 0.408673i | 0.860698 | − | 0.509116i | \(-0.170027\pi\) |
0.397069 | + | 0.917789i | \(0.370027\pi\) | |||||||
\(102\) | −2.32362 | − | 0.368025i | −0.230073 | − | 0.0364399i | ||||
\(103\) | −9.95825 | + | 1.57723i | −0.981215 | + | 0.155409i | −0.626378 | − | 0.779519i | \(-0.715464\pi\) |
−0.354837 | + | 0.934928i | \(0.615464\pi\) | |||||||
\(104\) | −2.38885 | + | 0.776185i | −0.234246 | + | 0.0761112i | ||||
\(105\) | 6.79424 | − | 3.92540i | 0.663050 | − | 0.383080i | ||||
\(106\) | −7.82528 | + | 10.7706i | −0.760058 | + | 1.04613i | ||||
\(107\) | −0.964682 | + | 6.09076i | −0.0932593 | + | 0.588816i | 0.896160 | + | 0.443731i | \(0.146346\pi\) |
−0.989419 | + | 0.145085i | \(0.953654\pi\) | |||||||
\(108\) | −0.298891 | − | 0.586606i | −0.0287608 | − | 0.0564462i | ||||
\(109\) | 19.9193 | 1.90793 | 0.953964 | − | 0.299922i | \(-0.0969607\pi\) | ||||
0.953964 | + | 0.299922i | \(0.0969607\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.10659 | 0.389780 | ||||||||
\(112\) | 8.18274 | + | 16.0595i | 0.773197 | + | 1.51748i | ||||
\(113\) | −1.89632 | + | 11.9729i | −0.178391 | + | 1.12632i | 0.722211 | + | 0.691673i | \(0.243126\pi\) |
−0.900602 | + | 0.434644i | \(0.856874\pi\) | |||||||
\(114\) | 3.89628 | − | 5.36277i | 0.364920 | − | 0.502269i | ||||
\(115\) | −5.98731 | − | 1.60235i | −0.558319 | − | 0.149420i | ||||
\(116\) | 0.141987 | − | 0.0461342i | 0.0131831 | − | 0.00428346i | ||||
\(117\) | 2.10924 | − | 0.334071i | 0.194999 | − | 0.0308849i | ||||
\(118\) | −13.4796 | − | 2.13497i | −1.24090 | − | 0.196540i | ||||
\(119\) | −7.72845 | − | 2.51112i | −0.708465 | − | 0.230194i | ||||
\(120\) | −4.94030 | + | 1.05166i | −0.450986 | + | 0.0960028i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.06650 | + | 8.06650i | 0.730306 | + | 0.730306i | ||||
\(123\) | 0.428331 | − | 0.218246i | 0.0386213 | − | 0.0196785i | ||||
\(124\) | 0.0371343 | + | 0.0511110i | 0.00333476 | + | 0.00458991i | ||||
\(125\) | 11.1803 | − | 0.0101588i | 1.00000 | − | 0.000908633i | ||||
\(126\) | −4.40534 | − | 13.5582i | −0.392459 | − | 1.20786i | ||||
\(127\) | 1.03315 | + | 0.526416i | 0.0916772 | + | 0.0467119i | 0.499228 | − | 0.866471i | \(-0.333617\pi\) |
−0.407551 | + | 0.913183i | \(0.633617\pi\) | |||||||
\(128\) | −1.94151 | − | 12.2582i | −0.171607 | − | 1.08348i | ||||
\(129\) | 4.81343 | − | 3.49716i | 0.423799 | − | 0.307908i | ||||
\(130\) | −0.316262 | + | 3.01783i | −0.0277380 | + | 0.264681i | ||||
\(131\) | 14.4532i | 1.26278i | 0.775465 | + | 0.631390i | \(0.217515\pi\) | ||||
−0.775465 | + | 0.631390i | \(0.782485\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.1904 | − | 16.1904i | 1.40388 | − | 1.40388i | ||||
\(134\) | −1.95734 | + | 6.02407i | −0.169088 | + | 0.520400i | ||||
\(135\) | 9.86509 | − | 0.520003i | 0.849051 | − | 0.0447548i | ||||
\(136\) | 4.23189 | + | 3.07465i | 0.362881 | + | 0.263649i | ||||
\(137\) | 5.61663 | − | 11.0232i | 0.479861 | − | 0.941780i | −0.516479 | − | 0.856300i | \(-0.672758\pi\) |
0.996340 | − | 0.0854799i | \(-0.0272423\pi\) | |||||||
\(138\) | 1.53570 | − | 3.01397i | 0.130727 | − | 0.256566i | ||||
\(139\) | 0.816606 | + | 0.593299i | 0.0692636 | + | 0.0503229i | 0.621878 | − | 0.783114i | \(-0.286370\pi\) |
−0.552615 | + | 0.833437i | \(0.686370\pi\) | |||||||
\(140\) | 1.40269 | − | 0.0739378i | 0.118549 | − | 0.00624889i | ||||
\(141\) | 0.306022 | − | 0.941839i | 0.0257717 | − | 0.0793172i | ||||
\(142\) | 8.90567 | − | 8.90567i | 0.747347 | − | 0.747347i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 9.86430i | 0.822025i | ||||||||
\(145\) | −0.233485 | + | 2.22796i | −0.0193899 | + | 0.185022i | ||||
\(146\) | 6.47594 | − | 4.70504i | 0.535952 | − | 0.389392i | ||||
\(147\) | 1.40242 | + | 8.85451i | 0.115669 | + | 0.730308i | ||||
\(148\) | 0.654997 | + | 0.333737i | 0.0538404 | + | 0.0274331i | ||||
\(149\) | −0.377177 | − | 1.16083i | −0.0308996 | − | 0.0950990i | 0.934417 | − | 0.356180i | \(-0.115921\pi\) |
−0.965317 | + | 0.261081i | \(0.915921\pi\) | |||||||
\(150\) | −1.26503 | + | 5.96926i | −0.103289 | + | 0.487388i | ||||
\(151\) | −0.932668 | − | 1.28371i | −0.0758995 | − | 0.104467i | 0.769379 | − | 0.638792i | \(-0.220566\pi\) |
−0.845279 | + | 0.534326i | \(0.820566\pi\) | |||||||
\(152\) | −13.1324 | + | 6.69128i | −1.06518 | + | 0.542734i | ||||
\(153\) | −3.14474 | − | 3.14474i | −0.254237 | − | 0.254237i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.927195 | + | 0.197375i | −0.0744741 | + | 0.0158535i | ||||
\(156\) | −0.109216 | − | 0.0354863i | −0.00874425 | − | 0.00284118i | ||||
\(157\) | 7.32783 | + | 1.16061i | 0.584824 | + | 0.0926271i | 0.441834 | − | 0.897097i | \(-0.354328\pi\) |
0.142991 | + | 0.989724i | \(0.454328\pi\) | |||||||
\(158\) | −3.30733 | + | 0.523829i | −0.263117 | + | 0.0416736i | ||||
\(159\) | 7.19014 | − | 2.33622i | 0.570215 | − | 0.185274i | ||||
\(160\) | −1.81720 | − | 0.486328i | −0.143662 | − | 0.0384476i | ||||
\(161\) | 6.86780 | − | 9.45272i | 0.541258 | − | 0.744978i | ||||
\(162\) | 0.743741 | − | 4.69579i | 0.0584338 | − | 0.368936i | ||||
\(163\) | 6.99546 | + | 13.7294i | 0.547927 | + | 1.07537i | 0.984449 | + | 0.175673i | \(0.0562103\pi\) |
−0.436522 | + | 0.899694i | \(0.643790\pi\) | |||||||
\(164\) | 0.0860550 | 0.00671976 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.91533 | 0.226273 | ||||||||
\(167\) | 1.88413 | + | 3.69782i | 0.145799 | + | 0.286146i | 0.952344 | − | 0.305026i | \(-0.0986653\pi\) |
−0.806545 | + | 0.591172i | \(0.798665\pi\) | |||||||
\(168\) | 1.48955 | − | 9.40466i | 0.114921 | − | 0.725585i | ||||
\(169\) | −7.13754 | + | 9.82399i | −0.549042 | + | 0.755691i | ||||
\(170\) | 5.47160 | − | 3.16124i | 0.419653 | − | 0.242456i | ||||
\(171\) | 11.9177 | − | 3.87229i | 0.911369 | − | 0.296122i | ||||
\(172\) | 1.05195 | − | 0.166612i | 0.0802104 | − | 0.0127041i | ||||
\(173\) | 4.27643 | + | 0.677320i | 0.325131 | + | 0.0514957i | 0.316867 | − | 0.948470i | \(-0.397369\pi\) |
0.00826456 | + | 0.999966i | \(0.497369\pi\) | |||||||
\(174\) | −1.16276 | − | 0.377804i | −0.0881487 | − | 0.0286412i | ||||
\(175\) | −7.54127 | + | 19.6813i | −0.570066 | + | 1.48777i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.48016 | + | 5.48016i | 0.411914 | + | 0.411914i | ||||
\(178\) | 18.1967 | − | 9.27168i | 1.36390 | − | 0.694942i | ||||
\(179\) | −2.18633 | − | 3.00922i | −0.163414 | − | 0.224920i | 0.719456 | − | 0.694538i | \(-0.244391\pi\) |
−0.882869 | + | 0.469619i | \(0.844391\pi\) | |||||||
\(180\) | 0.702371 | + | 0.312461i | 0.0523517 | + | 0.0232895i | ||||
\(181\) | 1.86849 | + | 5.75062i | 0.138884 | + | 0.427440i | 0.996174 | − | 0.0873933i | \(-0.0278537\pi\) |
−0.857290 | + | 0.514834i | \(0.827854\pi\) | |||||||
\(182\) | −5.09675 | − | 2.59692i | −0.377796 | − | 0.192497i | ||||
\(183\) | −1.01340 | − | 6.39838i | −0.0749129 | − | 0.472982i | ||||
\(184\) | −6.08481 | + | 4.42087i | −0.448578 | + | 0.325911i | ||||
\(185\) | −8.57022 | + | 6.94432i | −0.630095 | + | 0.510557i | ||||
\(186\) | − | 0.517369i | − | 0.0379353i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0.125352 | − | 0.125352i | 0.00914227 | − | 0.00914227i | ||||
\(189\) | −5.75482 | + | 17.7115i | −0.418602 | + | 1.28832i | ||||
\(190\) | 0.937236 | + | 17.7805i | 0.0679942 | + | 1.28993i | ||||
\(191\) | 13.3930 | + | 9.73057i | 0.969082 | + | 0.704079i | 0.955242 | − | 0.295825i | \(-0.0955945\pi\) |
0.0138398 | + | 0.999904i | \(0.495595\pi\) | |||||||
\(192\) | −2.76588 | + | 5.42834i | −0.199610 | + | 0.391757i | ||||
\(193\) | −7.70155 | + | 15.1151i | −0.554370 | + | 1.08801i | 0.428471 | + | 0.903556i | \(0.359052\pi\) |
−0.982841 | + | 0.184456i | \(0.940948\pi\) | |||||||
\(194\) | 3.94260 | + | 2.86447i | 0.283062 | + | 0.205657i | ||||
\(195\) | 1.15261 | − | 1.28088i | 0.0825398 | − | 0.0917256i | ||||
\(196\) | −0.495912 | + | 1.52626i | −0.0354223 | + | 0.109019i | ||||
\(197\) | 9.63624 | − | 9.63624i | 0.686554 | − | 0.686554i | −0.274915 | − | 0.961469i | \(-0.588650\pi\) |
0.961469 | + | 0.274915i | \(0.0886496\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 19.4166i | − | 1.37640i | −0.725519 | − | 0.688202i | \(-0.758400\pi\) | ||
0.725519 | − | 0.688202i | \(-0.241600\pi\) | |||||||
\(200\) | 8.53176 | − | 10.5489i | 0.603286 | − | 0.745920i | ||||
\(201\) | 2.90999 | − | 2.11423i | 0.205255 | − | 0.149126i | ||||
\(202\) | −3.04795 | − | 19.2440i | −0.214453 | − | 1.35400i | ||||
\(203\) | −3.76275 | − | 1.91722i | −0.264093 | − | 0.134562i | ||||
\(204\) | 0.0739017 | + | 0.227446i | 0.00517416 | + | 0.0159244i | ||||
\(205\) | −0.524845 | + | 1.17978i | −0.0366568 | + | 0.0823996i | ||||
\(206\) | 8.68764 | + | 11.9575i | 0.605297 | + | 0.833119i | ||||
\(207\) | 5.69763 | − | 2.90309i | 0.396012 | − | 0.201778i | ||||
\(208\) | 2.79877 | + | 2.79877i | 0.194060 | + | 0.194060i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.64903 | − | 6.26200i | −0.665846 | − | 0.432119i | ||||
\(211\) | −6.07815 | − | 1.97491i | −0.418437 | − | 0.135959i | 0.0922284 | − | 0.995738i | \(-0.470601\pi\) |
−0.510666 | + | 0.859779i | \(0.670601\pi\) | |||||||
\(212\) | 1.33668 | + | 0.211710i | 0.0918037 | + | 0.0145403i | ||||
\(213\) | −7.06401 | + | 1.11883i | −0.484018 | + | 0.0766609i | ||||
\(214\) | 8.59762 | − | 2.79354i | 0.587721 | − | 0.190962i | ||||
\(215\) | −4.13159 | + | 15.4380i | −0.281772 | + | 1.05286i | ||||
\(216\) | 7.04626 | − | 9.69835i | 0.479437 | − | 0.659889i | ||||
\(217\) | 0.279559 | − | 1.76507i | 0.0189777 | − | 0.119820i | ||||
\(218\) | −13.2569 | − | 26.0181i | −0.897871 | − | 1.76217i | ||||
\(219\) | −4.54564 | −0.307166 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.78450 | −0.120038 | ||||||||
\(222\) | −2.73305 | − | 5.36392i | −0.183430 | − | 0.360003i | ||||
\(223\) | −2.22058 | + | 14.0202i | −0.148701 | + | 0.938860i | 0.794651 | + | 0.607066i | \(0.207654\pi\) |
−0.943352 | + | 0.331794i | \(0.892346\pi\) | |||||||
\(224\) | 2.08444 | − | 2.86898i | 0.139272 | − | 0.191692i | ||||
\(225\) | −8.56746 | + | 7.72357i | −0.571164 | + | 0.514905i | ||||
\(226\) | 16.9008 | − | 5.49139i | 1.12422 | − | 0.365282i | ||||
\(227\) | −8.17622 | + | 1.29499i | −0.542675 | + | 0.0859512i | −0.421753 | − | 0.906711i | \(-0.638585\pi\) |
−0.120922 | + | 0.992662i | \(0.538585\pi\) | |||||||
\(228\) | −0.665546 | − | 0.105412i | −0.0440769 | − | 0.00698109i | ||||
\(229\) | 18.6401 | + | 6.05655i | 1.23178 | + | 0.400228i | 0.851357 | − | 0.524587i | \(-0.175780\pi\) |
0.380418 | + | 0.924815i | \(0.375780\pi\) | |||||||
\(230\) | 1.89178 | + | 8.88688i | 0.124740 | + | 0.585984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.92221 | + | 1.92221i | 0.126199 | + | 0.126199i | ||||
\(233\) | −3.30844 | + | 1.68573i | −0.216743 | + | 0.110436i | −0.558991 | − | 0.829173i | \(-0.688812\pi\) |
0.342249 | + | 0.939609i | \(0.388812\pi\) | |||||||
\(234\) | −1.84012 | − | 2.53270i | −0.120292 | − | 0.165568i | ||||
\(235\) | 0.954019 | + | 2.48306i | 0.0622333 | + | 0.161977i | ||||
\(236\) | 0.428714 | + | 1.31945i | 0.0279069 | + | 0.0858887i | ||||
\(237\) | 1.69429 | + | 0.863285i | 0.110056 | + | 0.0560764i | ||||
\(238\) | 1.86354 | + | 11.7659i | 0.120795 | + | 0.762672i | ||||
\(239\) | 2.59930 | − | 1.88850i | 0.168135 | − | 0.122157i | −0.500536 | − | 0.865716i | \(-0.666864\pi\) |
0.668671 | + | 0.743559i | \(0.266864\pi\) | |||||||
\(240\) | 5.01084 | + | 6.18404i | 0.323448 | + | 0.399178i | ||||
\(241\) | − | 25.4119i | − | 1.63693i | −0.574559 | − | 0.818463i | \(-0.694826\pi\) | ||
0.574559 | − | 0.818463i | \(-0.305174\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.2809 | + | 11.2809i | −0.723671 | + | 0.723671i | ||||
\(244\) | 0.358352 | − | 1.10289i | 0.0229411 | − | 0.0706055i | ||||
\(245\) | −17.8999 | − | 16.1074i | −1.14359 | − | 1.02906i | ||||
\(246\) | −0.570133 | − | 0.414226i | −0.0363504 | − | 0.0264101i | ||||
\(247\) | 2.28270 | − | 4.48005i | 0.145245 | − | 0.285059i | ||||
\(248\) | −0.522250 | + | 1.02497i | −0.0331629 | + | 0.0650858i | ||||
\(249\) | −1.33935 | − | 0.973096i | −0.0848780 | − | 0.0616674i | ||||
\(250\) | −7.45411 | − | 14.5967i | −0.471439 | − | 0.923177i | ||||
\(251\) | 5.03867 | − | 15.5074i | 0.318038 | − | 0.978820i | −0.656448 | − | 0.754371i | \(-0.727942\pi\) |
0.974486 | − | 0.224448i | \(-0.0720580\pi\) | |||||||
\(252\) | −1.02473 | + | 1.02473i | −0.0645519 | + | 0.0645519i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 1.69982i | − | 0.106656i | ||||||
\(255\) | −3.56893 | − | 0.374017i | −0.223495 | − | 0.0234218i | ||||
\(256\) | −2.87779 | + | 2.09084i | −0.179862 | + | 0.130677i | ||||
\(257\) | −2.53487 | − | 16.0045i | −0.158121 | − | 0.998335i | −0.931328 | − | 0.364182i | \(-0.881349\pi\) |
0.773207 | − | 0.634154i | \(-0.218651\pi\) | |||||||
\(258\) | −7.77139 | − | 3.95972i | −0.483825 | − | 0.246521i | ||||
\(259\) | −6.42576 | − | 19.7764i | −0.399277 | − | 1.22885i | ||||
\(260\) | 0.287935 | − | 0.110628i | 0.0178570 | − | 0.00686086i | ||||
\(261\) | −1.35849 | − | 1.86981i | −0.0840887 | − | 0.115738i | ||||
\(262\) | 18.8784 | − | 9.61901i | 1.16631 | − | 0.594265i | ||||
\(263\) | 0.677874 | + | 0.677874i | 0.0417995 | + | 0.0417995i | 0.727698 | − | 0.685898i | \(-0.240590\pi\) |
−0.685898 | + | 0.727698i | \(0.740590\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0548 | + | 17.0342i | −0.679092 | + | 1.04640i | ||||
\(266\) | −31.9226 | − | 10.3723i | −1.95730 | − | 0.635966i | ||||
\(267\) | −11.4546 | − | 1.81424i | −0.701013 | − | 0.111030i | ||||
\(268\) | 0.635961 | − | 0.100726i | 0.0388475 | − | 0.00615284i | ||||
\(269\) | −27.0327 | + | 8.78345i | −1.64821 | + | 0.535536i | −0.978351 | − | 0.206951i | \(-0.933646\pi\) |
−0.669860 | + | 0.742487i | \(0.733646\pi\) | |||||||
\(270\) | −7.24472 | − | 12.5394i | −0.440899 | − | 0.763126i | ||||
\(271\) | −18.0744 | + | 24.8772i | −1.09794 | + | 1.51118i | −0.259853 | + | 0.965648i | \(0.583674\pi\) |
−0.838087 | + | 0.545536i | \(0.816326\pi\) | |||||||
\(272\) | 1.28946 | − | 8.14133i | 0.0781850 | − | 0.493641i | ||||
\(273\) | 1.47472 | + | 2.89430i | 0.0892540 | + | 0.175171i | ||||
\(274\) | −18.1363 | −1.09565 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.343863 | −0.0206981 | ||||||||
\(277\) | −13.6871 | − | 26.8625i | −0.822379 | − | 1.61401i | −0.788861 | − | 0.614571i | \(-0.789329\pi\) |
−0.0335176 | − | 0.999438i | \(-0.510671\pi\) | |||||||
\(278\) | 0.231477 | − | 1.46149i | 0.0138831 | − | 0.0876542i | ||||
\(279\) | 0.574875 | − | 0.791248i | 0.0344169 | − | 0.0473708i | ||||
\(280\) | 12.7949 | + | 22.1459i | 0.764640 | + | 1.32347i | ||||
\(281\) | −8.10210 | + | 2.63253i | −0.483331 | + | 0.157044i | −0.540540 | − | 0.841319i | \(-0.681780\pi\) |
0.0572089 | + | 0.998362i | \(0.481780\pi\) | |||||||
\(282\) | −1.43387 | + | 0.227103i | −0.0853859 | + | 0.0135238i | ||||
\(283\) | −9.42432 | − | 1.49267i | −0.560218 | − | 0.0887297i | −0.130097 | − | 0.991501i | \(-0.541529\pi\) |
−0.430120 | + | 0.902772i | \(0.641529\pi\) | |||||||
\(284\) | −1.21763 | − | 0.395632i | −0.0722530 | − | 0.0234764i | ||||
\(285\) | 5.50430 | − | 8.48150i | 0.326046 | − | 0.502401i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.72125 | − | 1.72125i | −0.101602 | − | 0.101602i | ||||
\(288\) | 1.72928 | − | 0.881112i | 0.101899 | − | 0.0519200i | ||||
\(289\) | −7.80797 | − | 10.7468i | −0.459292 | − | 0.632162i | ||||
\(290\) | 3.06549 | − | 1.17780i | 0.180012 | − | 0.0691626i | ||||
\(291\) | −0.855180 | − | 2.63197i | −0.0501315 | − | 0.154289i | ||||
\(292\) | −0.725025 | − | 0.369419i | −0.0424289 | − | 0.0216186i | ||||
\(293\) | 0.360965 | + | 2.27904i | 0.0210878 | + | 0.133143i | 0.995986 | − | 0.0895072i | \(-0.0285292\pi\) |
−0.974898 | + | 0.222650i | \(0.928529\pi\) | |||||||
\(294\) | 10.6322 | − | 7.72474i | 0.620082 | − | 0.450516i | ||||
\(295\) | −20.7039 | − | 2.16972i | −1.20543 | − | 0.126326i | ||||
\(296\) | 13.3854i | 0.778013i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.26523 | + | 1.26523i | −0.0732926 | + | 0.0732926i | ||||
\(299\) | 0.792887 | − | 2.44025i | 0.0458538 | − | 0.141124i | ||||
\(300\) | 0.599047 | − | 0.160903i | 0.0345860 | − | 0.00928975i | ||||
\(301\) | −24.3734 | − | 17.7083i | −1.40486 | − | 1.02069i | ||||
\(302\) | −1.05603 | + | 2.07257i | −0.0607676 | + | 0.119263i | ||||
\(303\) | −5.02310 | + | 9.85838i | −0.288569 | + | 0.566349i | ||||
\(304\) | 18.7897 | + | 13.6515i | 1.07766 | + | 0.782967i | ||||
\(305\) | 12.9347 | + | 11.6394i | 0.740639 | + | 0.666468i | ||||
\(306\) | −2.01466 | + | 6.20050i | −0.115171 | + | 0.354459i | ||||
\(307\) | −12.4635 | + | 12.4635i | −0.711327 | + | 0.711327i | −0.966813 | − | 0.255486i | \(-0.917765\pi\) |
0.255486 | + | 0.966813i | \(0.417765\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 8.39331i | − | 0.477479i | ||||||
\(310\) | 0.874881 | + | 1.07972i | 0.0496899 | + | 0.0613239i | ||||
\(311\) | −12.2271 | + | 8.88353i | −0.693337 | + | 0.503739i | −0.877755 | − | 0.479109i | \(-0.840960\pi\) |
0.184419 | + | 0.982848i | \(0.440960\pi\) | |||||||
\(312\) | −0.327104 | − | 2.06525i | −0.0185186 | − | 0.116922i | ||||
\(313\) | 23.2697 | + | 11.8565i | 1.31528 | + | 0.670169i | 0.963950 | − | 0.266082i | \(-0.0857293\pi\) |
0.351331 | + | 0.936251i | \(0.385729\pi\) | |||||||
\(314\) | −3.36092 | − | 10.3438i | −0.189668 | − | 0.583737i | ||||
\(315\) | −7.79890 | − | 20.2985i | −0.439418 | − | 1.14369i | ||||
\(316\) | 0.200080 | + | 0.275386i | 0.0112554 | + | 0.0154917i | ||||
\(317\) | 25.2398 | − | 12.8603i | 1.41761 | − | 0.722307i | 0.433712 | − | 0.901051i | \(-0.357203\pi\) |
0.983896 | + | 0.178744i | \(0.0572035\pi\) | |||||||
\(318\) | −7.83675 | − | 7.83675i | −0.439463 | − | 0.439463i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −3.40720 | − | 16.0058i | −0.190469 | − | 0.894751i | ||||
\(321\) | −4.88234 | − | 1.58637i | −0.272506 | − | 0.0885425i | ||||
\(322\) | −16.9176 | − | 2.67949i | −0.942782 | − | 0.149322i | ||||
\(323\) | −10.3423 | + | 1.63805i | −0.575458 | + | 0.0911436i | ||||
\(324\) | −0.459645 | + | 0.149348i | −0.0255358 | + | 0.00829710i | ||||
\(325\) | −0.239432 | + | 4.62220i | −0.0132813 | + | 0.256394i | ||||
\(326\) | 13.2773 | − | 18.2746i | 0.735360 | − | 1.01214i | ||||
\(327\) | −2.59405 | + | 16.3782i | −0.143451 | + | 0.905714i | ||||
\(328\) | 0.711372 | + | 1.39615i | 0.0392790 | + | 0.0770893i | ||||
\(329\) | −5.01454 | −0.276461 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.6455 | −1.35464 | −0.677319 | − | 0.735690i | \(-0.736858\pi\) | ||||
−0.677319 | + | 0.735690i | \(0.736858\pi\) | |||||||
\(332\) | −0.134543 | − | 0.264055i | −0.00738401 | − | 0.0144919i | ||||
\(333\) | 1.78028 | − | 11.2403i | 0.0975588 | − | 0.615962i | ||||
\(334\) | 3.57605 | − | 4.92202i | 0.195673 | − | 0.269321i | ||||
\(335\) | −2.49777 | + | 9.33313i | −0.136468 | + | 0.509923i | ||||
\(336\) | −14.2702 | + | 4.63665i | −0.778501 | + | 0.252950i | ||||
\(337\) | 30.6340 | − | 4.85195i | 1.66874 | − | 0.264302i | 0.750657 | − | 0.660692i | \(-0.229737\pi\) |
0.918082 | + | 0.396390i | \(0.129737\pi\) | |||||||
\(338\) | 17.5821 | + | 2.78473i | 0.956339 | + | 0.151469i | ||||
\(339\) | −9.59746 | − | 3.11840i | −0.521263 | − | 0.169369i | ||||
\(340\) | −0.538845 | − | 0.349698i | −0.0292230 | − | 0.0189650i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −12.9895 | − | 12.9895i | −0.702390 | − | 0.702390i | ||||
\(343\) | 14.1559 | − | 7.21277i | 0.764345 | − | 0.389453i | ||||
\(344\) | 11.3990 | + | 15.6894i | 0.614594 | + | 0.845916i | ||||
\(345\) | 2.09720 | − | 4.71424i | 0.112910 | − | 0.253806i | ||||
\(346\) | −1.96139 | − | 6.03654i | −0.105445 | − | 0.324527i | ||||
\(347\) | 26.8957 | + | 13.7041i | 1.44384 | + | 0.735672i | 0.988009 | − | 0.154395i | \(-0.0493430\pi\) |
0.455829 | + | 0.890068i | \(0.349343\pi\) | |||||||
\(348\) | 0.0194421 | + | 0.122753i | 0.00104221 | + | 0.00658024i | ||||
\(349\) | −17.2865 | + | 12.5594i | −0.925323 | + | 0.672287i | −0.944843 | − | 0.327523i | \(-0.893786\pi\) |
0.0195201 | + | 0.999809i | \(0.493786\pi\) | |||||||
\(350\) | 30.7262 | − | 3.24827i | 1.64238 | − | 0.173627i | ||||
\(351\) | 4.08959i | 0.218286i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.82626 | + | 2.82626i | −0.150427 | + | 0.150427i | −0.778309 | − | 0.627882i | \(-0.783922\pi\) |
0.627882 | + | 0.778309i | \(0.283922\pi\) | |||||||
\(354\) | 3.51084 | − | 10.8053i | 0.186599 | − | 0.574293i | ||||
\(355\) | 12.8502 | − | 14.2803i | 0.682019 | − | 0.757921i | ||||
\(356\) | −1.67956 | − | 1.22027i | −0.0890167 | − | 0.0646744i | ||||
\(357\) | 3.07116 | − | 6.02750i | 0.162543 | − | 0.319009i | ||||
\(358\) | −2.47550 | + | 4.85844i | −0.130834 | + | 0.256777i | ||||
\(359\) | 8.68908 | + | 6.31298i | 0.458592 | + | 0.333187i | 0.792979 | − | 0.609249i | \(-0.208529\pi\) |
−0.334387 | + | 0.942436i | \(0.608529\pi\) | |||||||
\(360\) | 0.736809 | + | 13.9782i | 0.0388333 | + | 0.736713i | ||||
\(361\) | 3.24592 | − | 9.98992i | 0.170838 | − | 0.525785i | ||||
\(362\) | 6.26778 | − | 6.26778i | 0.329427 | − | 0.329427i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.581487i | 0.0304782i | ||||||||
\(365\) | 9.48649 | − | 7.68677i | 0.496546 | − | 0.402344i | ||||
\(366\) | −7.68295 | + | 5.58199i | −0.401594 | + | 0.291775i | ||||
\(367\) | 5.41331 | + | 34.1783i | 0.282572 | + | 1.78409i | 0.565293 | + | 0.824890i | \(0.308763\pi\) |
−0.282721 | + | 0.959202i | \(0.591237\pi\) | |||||||
\(368\) | 10.5601 | + | 5.38066i | 0.550485 | + | 0.280486i | ||||
\(369\) | −0.411677 | − | 1.26701i | −0.0214310 | − | 0.0659579i | ||||
\(370\) | 14.7742 | + | 6.57255i | 0.768075 | + | 0.341690i | ||||
\(371\) | −22.5015 | − | 30.9706i | −1.16822 | − | 1.60791i | ||||
\(372\) | −0.0468606 | + | 0.0238767i | −0.00242961 | + | 0.00123795i | ||||
\(373\) | 9.90454 | + | 9.90454i | 0.512838 | + | 0.512838i | 0.915395 | − | 0.402557i | \(-0.131879\pi\) |
−0.402557 | + | 0.915395i | \(0.631879\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.44763 | + | 9.19406i | −0.0747555 | + | 0.474779i | ||||
\(376\) | 3.06993 | + | 0.997480i | 0.158319 | + | 0.0514411i | ||||
\(377\) | −0.915956 | − | 0.145073i | −0.0471741 | − | 0.00747165i | ||||
\(378\) | 26.9643 | − | 4.27073i | 1.38690 | − | 0.219663i | ||||
\(379\) | −25.2037 | + | 8.18919i | −1.29463 | + | 0.420651i | −0.873710 | − | 0.486447i | \(-0.838292\pi\) |
−0.420919 | + | 0.907098i | \(0.638292\pi\) | |||||||
\(380\) | 1.56721 | − | 0.905463i | 0.0803963 | − | 0.0464493i | ||||
\(381\) | −0.567376 | + | 0.780926i | −0.0290676 | + | 0.0400081i | ||||
\(382\) | 3.79640 | − | 23.9695i | 0.194241 | − | 1.22639i | ||||
\(383\) | 10.9129 | + | 21.4177i | 0.557622 | + | 1.09439i | 0.981995 | + | 0.188907i | \(0.0604945\pi\) |
−0.424373 | + | 0.905487i | \(0.639505\pi\) | |||||||
\(384\) | 10.3318 | 0.527243 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.8686 | 1.26578 | ||||||||
\(387\) | −7.48548 | − | 14.6911i | −0.380508 | − | 0.746789i | ||||
\(388\) | 0.0774970 | − | 0.489297i | 0.00393431 | − | 0.0248403i | ||||
\(389\) | 4.43509 | − | 6.10438i | 0.224868 | − | 0.309505i | −0.681644 | − | 0.731684i | \(-0.738735\pi\) |
0.906512 | + | 0.422179i | \(0.138735\pi\) | |||||||
\(390\) | −2.44014 | − | 0.653043i | −0.123562 | − | 0.0330681i | ||||
\(391\) | −5.08193 | + | 1.65122i | −0.257004 | + | 0.0835057i | ||||
\(392\) | −28.8613 | + | 4.57119i | −1.45772 | + | 0.230880i | ||||
\(393\) | −11.8838 | − | 1.88220i | −0.599456 | − | 0.0949445i | ||||
\(394\) | −18.9998 | − | 6.17342i | −0.957197 | − | 0.311012i | ||||
\(395\) | −4.99573 | + | 1.06346i | −0.251362 | + | 0.0535083i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.0995 | + | 16.0995i | 0.808008 | + | 0.808008i | 0.984332 | − | 0.176324i | \(-0.0564206\pi\) |
−0.176324 | + | 0.984332i | \(0.556421\pi\) | |||||||
\(398\) | −25.3614 | + | 12.9223i | −1.27125 | + | 0.647736i | ||||
\(399\) | 11.2037 | + | 15.4205i | 0.560886 | + | 0.771993i | ||||
\(400\) | −20.9147 | − | 4.43231i | −1.04573 | − | 0.221616i | ||||
\(401\) | −7.46030 | − | 22.9604i | −0.372550 | − | 1.14659i | −0.945117 | − | 0.326732i | \(-0.894053\pi\) |
0.572568 | − | 0.819858i | \(-0.305947\pi\) | |||||||
\(402\) | −4.69823 | − | 2.39387i | −0.234327 | − | 0.119395i | ||||
\(403\) | −0.0613908 | − | 0.387606i | −0.00305809 | − | 0.0193080i | ||||
\(404\) | −1.60236 | + | 1.16418i | −0.0797203 | + | 0.0579202i | ||||
\(405\) | 0.755849 | − | 7.21243i | 0.0375584 | − | 0.358389i | ||||
\(406\) | 6.19078i | 0.307243i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −3.07915 | + | 3.07915i | −0.152441 | + | 0.152441i | ||||
\(409\) | −1.80956 | + | 5.56925i | −0.0894769 | + | 0.275382i | −0.985775 | − | 0.168070i | \(-0.946246\pi\) |
0.896298 | + | 0.443452i | \(0.146246\pi\) | |||||||
\(410\) | 1.89030 | − | 0.0996406i | 0.0933554 | − | 0.00492090i | ||||
\(411\) | 8.33214 | + | 6.05365i | 0.410994 | + | 0.298605i | ||||
\(412\) | 0.682114 | − | 1.33872i | 0.0336054 | − | 0.0659542i | ||||
\(413\) | 17.8162 | − | 34.9663i | 0.876680 | − | 1.72058i | ||||
\(414\) | −7.58387 | − | 5.51001i | −0.372727 | − | 0.270802i | ||||
\(415\) | 4.44068 | − | 0.234075i | 0.217984 | − | 0.0114903i | ||||
\(416\) | 0.240648 | − | 0.740639i | 0.0117987 | − | 0.0363128i | ||||
\(417\) | −0.594169 | + | 0.594169i | −0.0290966 | + | 0.0290966i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 11.0599i | − | 0.540311i | −0.962817 | − | 0.270155i | \(-0.912925\pi\) | ||
0.962817 | − | 0.270155i | \(-0.0870751\pi\) | |||||||
\(420\) | −0.121875 | + | 1.16295i | −0.00594690 | + | 0.0567463i | ||||
\(421\) | −6.36944 | + | 4.62767i | −0.310428 | + | 0.225539i | −0.732080 | − | 0.681219i | \(-0.761450\pi\) |
0.421652 | + | 0.906758i | \(0.361450\pi\) | |||||||
\(422\) | 1.46561 | + | 9.25349i | 0.0713447 | + | 0.450453i | ||||
\(423\) | −2.44527 | − | 1.24593i | −0.118893 | − | 0.0605790i | ||||
\(424\) | 7.61491 | + | 23.4363i | 0.369813 | + | 1.13817i | ||||
\(425\) | 8.08063 | − | 5.25458i | 0.391968 | − | 0.254885i | ||||
\(426\) | 6.16269 | + | 8.48222i | 0.298583 | + | 0.410965i | ||||
\(427\) | −29.2275 | + | 14.8922i | −1.41442 | + | 0.720682i | ||||
\(428\) | −0.649807 | − | 0.649807i | −0.0314096 | − | 0.0314096i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.9144 | − | 4.87787i | 1.10503 | − | 0.235232i | ||||
\(431\) | 6.94552 | + | 2.25674i | 0.334554 | + | 0.108703i | 0.471477 | − | 0.881879i | \(-0.343721\pi\) |
−0.136923 | + | 0.990582i | \(0.543721\pi\) | |||||||
\(432\) | −18.6577 | − | 2.95510i | −0.897671 | − | 0.142177i | ||||
\(433\) | 4.98536 | − | 0.789604i | 0.239581 | − | 0.0379460i | −0.0354890 | − | 0.999370i | \(-0.511299\pi\) |
0.275070 | + | 0.961424i | \(0.411299\pi\) | |||||||
\(434\) | −2.49154 | + | 0.809550i | −0.119598 | + | 0.0388596i | ||||
\(435\) | −1.80147 | − | 0.482118i | −0.0863740 | − | 0.0231158i | ||||
\(436\) | −1.74478 | + | 2.40149i | −0.0835599 | + | 0.115010i | ||||
\(437\) | 2.35527 | − | 14.8706i | 0.112668 | − | 0.711357i | ||||
\(438\) | 3.02525 | + | 5.93740i | 0.144552 | + | 0.283700i | ||||
\(439\) | −1.29778 | −0.0619394 | −0.0309697 | − | 0.999520i | \(-0.509860\pi\) | ||||
−0.0309697 | + | 0.999520i | \(0.509860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 24.8439 | 1.18304 | ||||||||
\(442\) | 1.18763 | + | 2.33086i | 0.0564900 | + | 0.110868i | ||||
\(443\) | 2.40922 | − | 15.2112i | 0.114466 | − | 0.722707i | −0.861980 | − | 0.506942i | \(-0.830776\pi\) |
0.976445 | − | 0.215764i | \(-0.0692243\pi\) | |||||||
\(444\) | −0.359706 | + | 0.495092i | −0.0170709 | + | 0.0234960i | ||||
\(445\) | 26.9731 | − | 15.5838i | 1.27865 | − | 0.738744i | ||||
\(446\) | 19.7907 | − | 6.43037i | 0.937115 | − | 0.304487i | ||||
\(447\) | 1.00358 | − | 0.158952i | 0.0474678 | − | 0.00751816i | ||||
\(448\) | 30.4696 | + | 4.82591i | 1.43955 | + | 0.228003i | ||||
\(449\) | 11.5295 | + | 3.74615i | 0.544109 | + | 0.176792i | 0.568159 | − | 0.822919i | \(-0.307656\pi\) |
−0.0240497 | + | 0.999711i | \(0.507656\pi\) | |||||||
\(450\) | 15.7902 | + | 6.05033i | 0.744359 | + | 0.285215i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.27736 | − | 1.27736i | −0.0600818 | − | 0.0600818i | ||||
\(453\) | 1.17695 | − | 0.599688i | 0.0552981 | − | 0.0281758i | ||||
\(454\) | 7.13299 | + | 9.81772i | 0.334768 | + | 0.460768i | ||||
\(455\) | −7.97198 | − | 3.54646i | −0.373732 | − | 0.166261i | ||||
\(456\) | −3.79153 | − | 11.6691i | −0.177555 | − | 0.546458i | ||||
\(457\) | −3.12807 | − | 1.59383i | −0.146325 | − | 0.0745563i | 0.379295 | − | 0.925276i | \(-0.376167\pi\) |
−0.525620 | + | 0.850720i | \(0.676167\pi\) | |||||||
\(458\) | −4.49465 | − | 28.3781i | −0.210021 | − | 1.32602i | ||||
\(459\) | 6.89018 | − | 5.00601i | 0.321606 | − | 0.233660i | ||||
\(460\) | 0.717623 | − | 0.581480i | 0.0334593 | − | 0.0271116i | ||||
\(461\) | − | 5.45336i | − | 0.253988i | −0.991903 | − | 0.126994i | \(-0.959467\pi\) | ||
0.991903 | − | 0.126994i | \(-0.0405329\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3996 | − | 15.3996i | 0.715681 | − | 0.715681i | −0.252037 | − | 0.967718i | \(-0.581100\pi\) |
0.967718 | + | 0.252037i | \(0.0811005\pi\) | |||||||
\(464\) | 1.32372 | − | 4.07400i | 0.0614523 | − | 0.189131i | ||||
\(465\) | −0.0415401 | − | 0.788065i | −0.00192638 | − | 0.0365457i | ||||
\(466\) | 4.40372 | + | 3.19949i | 0.203998 | + | 0.148214i | ||||
\(467\) | 6.66632 | − | 13.0834i | 0.308481 | − | 0.605427i | −0.683768 | − | 0.729700i | \(-0.739660\pi\) |
0.992248 | + | 0.124273i | \(0.0396598\pi\) | |||||||
\(468\) | −0.144478 | + | 0.283553i | −0.00667848 | + | 0.0131073i | ||||
\(469\) | −14.7351 | − | 10.7057i | −0.680402 | − | 0.494341i | ||||
\(470\) | 2.60838 | − | 2.89866i | 0.120315 | − | 0.133705i | ||||
\(471\) | −1.90857 | + | 5.87397i | −0.0879422 | + | 0.270658i | ||||
\(472\) | −17.8626 | + | 17.8626i | −0.822193 | + | 0.822193i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 2.78758i | − | 0.128038i | ||||||
\(475\) | 2.85523 | + | 27.0083i | 0.131007 | + | 1.23923i | ||||
\(476\) | 0.979695 | − | 0.711790i | 0.0449043 | − | 0.0326249i | ||||
\(477\) | −3.27747 | − | 20.6931i | −0.150065 | − | 0.947473i | ||||
\(478\) | −4.19663 | − | 2.13829i | −0.191949 | − | 0.0978030i | ||||
\(479\) | −1.51842 | − | 4.67321i | −0.0693783 | − | 0.213524i | 0.910356 | − | 0.413826i | \(-0.135808\pi\) |
−0.979734 | + | 0.200302i | \(0.935808\pi\) | |||||||
\(480\) | 0.636520 | − | 1.43081i | 0.0290530 | − | 0.0653074i | ||||
\(481\) | −2.68405 | − | 3.69428i | −0.122382 | − | 0.168444i | ||||
\(482\) | −33.1924 | + | 16.9124i | −1.51187 | + | 0.770338i | ||||
\(483\) | 6.87787 | + | 6.87787i | 0.312954 | + | 0.312954i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.23543 | + | 4.04665i | 0.283136 | + | 0.183749i | ||||
\(486\) | 22.2426 | + | 7.22706i | 1.00895 | + | 0.327826i | ||||
\(487\) | 10.6054 | + | 1.67972i | 0.480574 | + | 0.0761155i | 0.392022 | − | 0.919956i | \(-0.371776\pi\) |
0.0885527 | + | 0.996071i | \(0.471776\pi\) | |||||||
\(488\) | 20.8555 | − | 3.30319i | 0.944086 | − | 0.149529i | ||||
\(489\) | −12.1996 | + | 3.96390i | −0.551686 | + | 0.179254i | ||||
\(490\) | −9.12610 | + | 34.1004i | −0.412275 | + | 1.54050i | ||||
\(491\) | −1.91387 | + | 2.63421i | −0.0863715 | + | 0.118880i | −0.850016 | − | 0.526757i | \(-0.823408\pi\) |
0.763645 | + | 0.645637i | \(0.223408\pi\) | |||||||
\(492\) | −0.0112067 | + | 0.0707565i | −0.000505238 | + | 0.00318995i | ||||
\(493\) | 0.876788 | + | 1.72079i | 0.0394886 | + | 0.0775007i | ||||
\(494\) | −7.37092 | −0.331634 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.81272 | 0.0813935 | ||||||||
\(497\) | 16.4414 | + | 32.2681i | 0.737498 | + | 1.44742i | ||||
\(498\) | −0.379656 | + | 2.39705i | −0.0170128 | + | 0.107414i | ||||
\(499\) | −5.25588 | + | 7.23410i | −0.235285 | + | 0.323843i | −0.910290 | − | 0.413971i | \(-0.864142\pi\) |
0.675005 | + | 0.737813i | \(0.264142\pi\) | |||||||
\(500\) | −0.978087 | + | 1.34880i | −0.0437414 | + | 0.0603200i | ||||
\(501\) | −3.28580 | + | 1.06762i | −0.146799 | + | 0.0476978i | ||||
\(502\) | −23.6088 | + | 3.73926i | −1.05371 | + | 0.166891i | ||||
\(503\) | −19.0954 | − | 3.02441i | −0.851421 | − | 0.134852i | −0.284553 | − | 0.958660i | \(-0.591845\pi\) |
−0.566868 | + | 0.823808i | \(0.691845\pi\) | |||||||
\(504\) | −25.0960 | − | 8.15419i | −1.11787 | − | 0.363217i | ||||
\(505\) | −6.18781 | − | 29.0681i | −0.275354 | − | 1.29351i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.14801 | − | 7.14801i | −0.317454 | − | 0.317454i | ||||
\(508\) | −0.153961 | + | 0.0784471i | −0.00683092 | + | 0.00348053i | ||||
\(509\) | −1.65845 | − | 2.28267i | −0.0735097 | − | 0.101177i | 0.770679 | − | 0.637224i | \(-0.219917\pi\) |
−0.844189 | + | 0.536046i | \(0.819917\pi\) | |||||||
\(510\) | 1.88670 | + | 4.91056i | 0.0835443 | + | 0.217443i | ||||
\(511\) | 7.11276 | + | 21.8908i | 0.314650 | + | 0.968393i | ||||
\(512\) | −17.4703 | − | 8.90156i | −0.772085 | − | 0.393397i | ||||
\(513\) | 3.75398 | + | 23.7017i | 0.165742 | + | 1.04645i | ||||
\(514\) | −19.2177 | + | 13.9625i | −0.847656 | + | 0.615858i | ||||
\(515\) | 14.1933 | + | 17.5164i | 0.625430 | + | 0.771863i | ||||
\(516\) | 0.886635i | 0.0390319i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −21.5550 | + | 21.5550i | −0.947071 | + | 0.947071i | ||||
\(519\) | −1.11382 | + | 3.42798i | −0.0488912 | + | 0.150472i | ||||
\(520\) | 4.17503 | + | 3.75693i | 0.183087 | + | 0.164752i | ||||
\(521\) | −7.68839 | − | 5.58594i | −0.336835 | − | 0.244725i | 0.406491 | − | 0.913655i | \(-0.366752\pi\) |
−0.743325 | + | 0.668930i | \(0.766752\pi\) | |||||||
\(522\) | −1.53818 | + | 3.01884i | −0.0673241 | + | 0.132131i | ||||
\(523\) | 6.73563 | − | 13.2194i | 0.294528 | − | 0.578045i | −0.695564 | − | 0.718465i | \(-0.744845\pi\) |
0.990092 | + | 0.140420i | \(0.0448453\pi\) | |||||||
\(524\) | −1.74248 | − | 1.26599i | −0.0761207 | − | 0.0553049i | ||||
\(525\) | −15.2004 | − | 8.76366i | −0.663398 | − | 0.382477i | ||||
\(526\) | 0.434277 | − | 1.33657i | 0.0189354 | − | 0.0582771i | ||||
\(527\) | −0.577895 | + | 0.577895i | −0.0251735 | + | 0.0251735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.3169i | 0.665953i | ||||||||
\(530\) | 29.6070 | + | 3.10275i | 1.28605 | + | 0.134775i | ||||
\(531\) | 17.3757 | − | 12.6242i | 0.754039 | − | 0.547842i | ||||
\(532\) | 0.533767 | + | 3.37007i | 0.0231417 | + | 0.146111i | ||||
\(533\) | −0.476289 | − | 0.242681i | −0.0206304 | − | 0.0105117i | ||||
\(534\) | 5.25369 | + | 16.1692i | 0.227349 | + | 0.699709i | ||||
\(535\) | 12.8718 | − | 4.94548i | 0.556495 | − | 0.213812i | ||||
\(536\) | 6.89134 | + | 9.48511i | 0.297661 | + | 0.409695i | ||||
\(537\) | 2.75897 | − | 1.40577i | 0.119058 | − | 0.0606633i | ||||
\(538\) | 29.4638 | + | 29.4638i | 1.27027 | + | 1.27027i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.801414 | + | 1.23489i | −0.0344874 | + | 0.0531411i | ||||
\(541\) | 29.7351 | + | 9.66153i | 1.27841 | + | 0.415381i | 0.868021 | − | 0.496528i | \(-0.165392\pi\) |
0.410392 | + | 0.911909i | \(0.365392\pi\) | |||||||
\(542\) | 44.5230 | + | 7.05176i | 1.91243 | + | 0.302899i | ||||
\(543\) | −4.97163 | + | 0.787429i | −0.213353 | + | 0.0337918i | ||||
\(544\) | −1.54241 | + | 0.501159i | −0.0661303 | + | 0.0214870i | ||||
\(545\) | −22.2822 | − | 38.5669i | −0.954464 | − | 1.65202i | ||||
\(546\) | 2.79899 | − | 3.85248i | 0.119786 | − | 0.164871i | ||||
\(547\) | −4.93799 | + | 31.1772i | −0.211133 | + | 1.33304i | 0.623322 | + | 0.781966i | \(0.285783\pi\) |
−0.834455 | + | 0.551076i | \(0.814217\pi\) | |||||||
\(548\) | 0.836995 | + | 1.64270i | 0.0357547 | + | 0.0701725i | ||||
\(549\) | −17.9525 | −0.766194 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.44169 | −0.231824 | ||||||||
\(552\) | −2.84254 | − | 5.57880i | −0.120987 | − | 0.237449i | ||||
\(553\) | 1.50626 | − | 9.51017i | 0.0640528 | − | 0.404414i | ||||
\(554\) | −25.9779 | + | 35.7555i | −1.10370 | + | 1.51911i | ||||
\(555\) | −4.59371 | − | 7.95098i | −0.194992 | − | 0.337500i | ||||
\(556\) | −0.143057 | + | 0.0464820i | −0.00606696 | + | 0.00197128i | ||||
\(557\) | 13.0992 | − | 2.07471i | 0.555030 | − | 0.0879082i | 0.127383 | − | 0.991854i | \(-0.459342\pi\) |
0.427648 | + | 0.903945i | \(0.359342\pi\) | |||||||
\(558\) | −1.41610 | − | 0.224289i | −0.0599485 | − | 0.00949491i | ||||
\(559\) | −6.29208 | − | 2.04442i | −0.266127 | − | 0.0864698i | ||||
\(560\) | 21.9403 | − | 33.8076i | 0.927149 | − | 1.42863i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.83073 | + | 8.83073i | 0.372502 | + | 0.372502i | ||||
\(563\) | −26.1698 | + | 13.3342i | −1.10292 | + | 0.561968i | −0.908051 | − | 0.418860i | \(-0.862430\pi\) |
−0.194874 | + | 0.980828i | \(0.562430\pi\) | |||||||
\(564\) | 0.0867434 | + | 0.119392i | 0.00365256 | + | 0.00502731i | ||||
\(565\) | 25.3027 | − | 9.72158i | 1.06449 | − | 0.408990i | ||||
\(566\) | 4.32248 | + | 13.3032i | 0.181687 | + | 0.559176i | ||||
\(567\) | 12.1809 | + | 6.20650i | 0.511551 | + | 0.260648i | ||||
\(568\) | −3.64683 | − | 23.0252i | −0.153018 | − | 0.966115i | ||||
\(569\) | 17.3540 | − | 12.6084i | 0.727518 | − | 0.528573i | −0.161259 | − | 0.986912i | \(-0.551555\pi\) |
0.888777 | + | 0.458339i | \(0.151555\pi\) | |||||||
\(570\) | −14.7416 | − | 1.54489i | −0.617457 | − | 0.0647083i | ||||
\(571\) | − | 28.7176i | − | 1.20179i | −0.799326 | − | 0.600897i | \(-0.794810\pi\) | ||
0.799326 | − | 0.600897i | \(-0.205190\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.74484 | + | 9.74484i | −0.407097 | + | 0.407097i | ||||
\(574\) | −1.10271 | + | 3.39380i | −0.0460263 | + | 0.141654i | ||||
\(575\) | 3.59513 | + | 13.3848i | 0.149927 | + | 0.558183i | ||||
\(576\) | 13.6590 | + | 9.92385i | 0.569125 | + | 0.413494i | ||||
\(577\) | 3.03825 | − | 5.96290i | 0.126484 | − | 0.248239i | −0.819077 | − | 0.573683i | \(-0.805514\pi\) |
0.945561 | + | 0.325445i | \(0.105514\pi\) | |||||||
\(578\) | −8.84070 | + | 17.3509i | −0.367725 | + | 0.721700i | ||||
\(579\) | −11.4251 | − | 8.30081i | −0.474810 | − | 0.344970i | ||||
\(580\) | −0.248152 | − | 0.223301i | −0.0103040 | − | 0.00927207i | ||||
\(581\) | −2.59048 | + | 7.97268i | −0.107471 | + | 0.330763i | ||||
\(582\) | −2.86867 | + | 2.86867i | −0.118910 | + | 0.118910i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 14.8165i | − | 0.613112i | ||||||
\(585\) | −3.00625 | − | 3.71012i | −0.124293 | − | 0.153394i | ||||
\(586\) | 2.73660 | − | 1.98825i | 0.113048 | − | 0.0821340i | ||||
\(587\) | 5.70952 | + | 36.0485i | 0.235657 | + | 1.48788i | 0.767506 | + | 0.641041i | \(0.221497\pi\) |
−0.531849 | + | 0.846839i | \(0.678503\pi\) | |||||||
\(588\) | −1.19035 | − | 0.606512i | −0.0490890 | − | 0.0250121i | ||||
\(589\) | −0.711594 | − | 2.19006i | −0.0293207 | − | 0.0902400i | ||||
\(590\) | 10.9450 | + | 28.4869i | 0.450598 | + | 1.17279i | ||||
\(591\) | 6.66825 | + | 9.17805i | 0.274295 | + | 0.377535i | ||||
\(592\) | 18.7937 | − | 9.57587i | 0.772417 | − | 0.393566i | ||||
\(593\) | 26.6656 | + | 26.6656i | 1.09502 | + | 1.09502i | 0.994983 | + | 0.100040i | \(0.0318971\pi\) |
0.100040 | + | 0.994983i | \(0.468103\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.78328 | + | 17.7724i | 0.155099 | + | 0.728599i | ||||
\(596\) | 0.172988 | + | 0.0562073i | 0.00708588 | + | 0.00230234i | ||||
\(597\) | 15.9648 | + | 2.52857i | 0.653394 | + | 0.103487i | ||||
\(598\) | −3.71509 | + | 0.588412i | −0.151921 | + | 0.0240620i | ||||
\(599\) | 36.7124 | − | 11.9286i | 1.50003 | − | 0.487388i | 0.560002 | − | 0.828492i | \(-0.310801\pi\) |
0.940026 | + | 0.341103i | \(0.110801\pi\) | |||||||
\(600\) | 7.56249 | + | 8.38877i | 0.308737 | + | 0.342470i | ||||
\(601\) | −22.4050 | + | 30.8379i | −0.913920 | + | 1.25790i | 0.0518905 | + | 0.998653i | \(0.483475\pi\) |
−0.965810 | + | 0.259250i | \(0.916525\pi\) | |||||||
\(602\) | −6.90894 | + | 43.6213i | −0.281587 | + | 1.77787i | ||||
\(603\) | −4.52538 | − | 8.88156i | −0.184288 | − | 0.361685i | ||||
\(604\) | 0.236459 | 0.00962138 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 16.2198 | 0.658884 | ||||||||
\(607\) | −16.4492 | − | 32.2834i | −0.667653 | − | 1.31034i | −0.937683 | − | 0.347491i | \(-0.887034\pi\) |
0.270031 | − | 0.962852i | \(-0.412966\pi\) | |||||||
\(608\) | 0.714845 | − | 4.51336i | 0.0289908 | − | 0.183041i | ||||
\(609\) | 2.06640 | − | 2.84415i | 0.0837346 | − | 0.115251i | ||||
\(610\) | 6.59462 | − | 24.6413i | 0.267009 | − | 0.997698i | ||||
\(611\) | −1.04729 | + | 0.340286i | −0.0423689 | + | 0.0137665i | ||||
\(612\) | 0.654587 | − | 0.103676i | 0.0264601 | − | 0.00419087i | ||||
\(613\) | −2.37960 | − | 0.376892i | −0.0961113 | − | 0.0152225i | 0.108194 | − | 0.994130i | \(-0.465493\pi\) |
−0.204305 | + | 0.978907i | \(0.565493\pi\) | |||||||
\(614\) | 24.5743 | + | 7.98466i | 0.991736 | + | 0.322235i | ||||
\(615\) | −0.901696 | − | 0.585180i | −0.0363599 | − | 0.0235967i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.5598 | − | 25.5598i | −1.02900 | − | 1.02900i | −0.999567 | − | 0.0294325i | \(-0.990630\pi\) |
−0.0294325 | − | 0.999567i | \(-0.509370\pi\) | |||||||
\(618\) | −10.9631 | + | 5.58599i | −0.441001 | + | 0.224701i | ||||
\(619\) | −0.537145 | − | 0.739317i | −0.0215897 | − | 0.0297157i | 0.798086 | − | 0.602544i | \(-0.205846\pi\) |
−0.819675 | + | 0.572828i | \(0.805846\pi\) | |||||||
\(620\) | 0.0574196 | − | 0.129072i | 0.00230603 | − | 0.00518364i | ||||
\(621\) | 3.78415 | + | 11.6464i | 0.151853 | + | 0.467355i | ||||
\(622\) | 19.7409 | + | 10.0585i | 0.791540 | + | 0.403310i | ||||
\(623\) | 9.18661 | + | 58.0020i | 0.368054 | + | 2.32380i | ||||
\(624\) | −2.66569 | + | 1.93674i | −0.106713 | + | 0.0775316i | ||||
\(625\) | −12.5262 | − | 21.6355i | −0.501049 | − | 0.865419i | ||||
\(626\) | − | 38.2851i | − | 1.53018i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.781786 | + | 0.781786i | −0.0311967 | + | 0.0311967i | ||||
\(629\) | −2.93865 | + | 9.04423i | −0.117172 | + | 0.360617i | ||||
\(630\) | −21.3229 | + | 23.6959i | −0.849526 | + | 0.944069i | ||||
\(631\) | −18.6941 | − | 13.5820i | −0.744199 | − | 0.540692i | 0.149824 | − | 0.988713i | \(-0.452129\pi\) |
−0.894023 | + | 0.448020i | \(0.852129\pi\) | |||||||
\(632\) | −2.81388 | + | 5.52255i | −0.111930 | + | 0.219675i | ||||
\(633\) | 2.41536 | − | 4.74042i | 0.0960020 | − | 0.188415i | ||||
\(634\) | −33.5956 | − | 24.4087i | −1.33425 | − | 0.969392i | ||||
\(635\) | −0.136480 | − | 2.58920i | −0.00541606 | − | 0.102749i | ||||
\(636\) | −0.348145 | + | 1.07148i | −0.0138049 | + | 0.0424870i | ||||
\(637\) | 7.04889 | − | 7.04889i | 0.279287 | − | 0.279287i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 19.8201i | 0.784072i | ||||||||
\(640\) | −21.5619 | + | 17.4713i | −0.852310 | + | 0.690614i | ||||
\(641\) | −7.06172 | + | 5.13064i | −0.278921 | + | 0.202648i | −0.718447 | − | 0.695582i | \(-0.755147\pi\) |
0.439525 | + | 0.898230i | \(0.355147\pi\) | |||||||
\(642\) | 1.17727 | + | 7.43296i | 0.0464630 | + | 0.293356i | ||||
\(643\) | −28.1018 | − | 14.3186i | −1.10823 | − | 0.564670i | −0.198594 | − | 0.980082i | \(-0.563638\pi\) |
−0.909634 | + | 0.415412i | \(0.863638\pi\) | |||||||
\(644\) | 0.538058 | + | 1.65597i | 0.0212024 | + | 0.0652544i | ||||
\(645\) | −12.1555 | − | 5.40754i | −0.478620 | − | 0.212922i | ||||
\(646\) | 9.02265 | + | 12.4186i | 0.354991 | + | 0.488604i | ||||
\(647\) | −12.2437 | + | 6.23845i | −0.481348 | + | 0.245259i | −0.677789 | − | 0.735257i | \(-0.737062\pi\) |
0.196441 | + | 0.980516i | \(0.437062\pi\) | |||||||
\(648\) | −6.22265 | − | 6.22265i | −0.244449 | − | 0.244449i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.19675 | − | 2.76347i | 0.243057 | − | 0.108392i | ||||
\(651\) | 1.41487 | + | 0.459720i | 0.0554532 | + | 0.0180178i | ||||
\(652\) | −2.26797 | − | 0.359211i | −0.0888205 | − | 0.0140678i | ||||
\(653\) | −5.37414 | + | 0.851181i | −0.210307 | + | 0.0333093i | −0.260699 | − | 0.965420i | \(-0.583953\pi\) |
0.0503921 | + | 0.998730i | \(0.483953\pi\) | |||||||
\(654\) | 23.1192 | − | 7.51187i | 0.904030 | − | 0.293737i | ||||
\(655\) | 27.9836 | − | 16.1676i | 1.09341 | − | 0.631721i | ||||
\(656\) | 1.45134 | − | 1.99759i | 0.0566652 | − | 0.0779929i | ||||
\(657\) | −1.97062 | + | 12.4420i | −0.0768812 | + | 0.485408i | ||||
\(658\) | 3.33733 | + | 6.54987i | 0.130102 | + | 0.255341i | ||||
\(659\) | −42.1160 | −1.64061 | −0.820304 | − | 0.571928i | \(-0.806195\pi\) | ||||
−0.820304 | + | 0.571928i | \(0.806195\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.5844 | −0.761745 | −0.380872 | − | 0.924628i | \(-0.624376\pi\) | ||||
−0.380872 | + | 0.924628i | \(0.624376\pi\) | |||||||
\(662\) | 16.4023 | + | 32.1913i | 0.637493 | + | 1.25115i | ||||
\(663\) | 0.232390 | − | 1.46726i | 0.00902529 | − | 0.0569835i | ||||
\(664\) | 3.17181 | − | 4.36562i | 0.123090 | − | 0.169419i | ||||
\(665\) | −49.4579 | − | 13.2362i | −1.91790 | − | 0.513276i | ||||
\(666\) | −15.8666 | + | 5.15536i | −0.614817 | + | 0.199766i | ||||
\(667\) | −2.74272 | + | 0.434404i | −0.106198 | + | 0.0168202i | ||||
\(668\) | −0.610847 | − | 0.0967487i | −0.0236344 | − | 0.00374332i | ||||
\(669\) | −11.2385 | − | 3.65162i | −0.434507 | − | 0.141180i | ||||
\(670\) | 13.8530 | − | 2.94894i | 0.535189 | − | 0.113927i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 2.08750 | + | 2.08750i | 0.0805269 | + | 0.0805269i | ||||
\(673\) | 4.94179 | − | 2.51797i | 0.190492 | − | 0.0970605i | −0.356143 | − | 0.934431i | \(-0.615908\pi\) |
0.546635 | + | 0.837371i | \(0.315908\pi\) | |||||||
\(674\) | −26.7253 | − | 36.7842i | −1.02942 | − | 1.41687i | ||||
\(675\) | −12.0421 | − | 18.5186i | −0.463500 | − | 0.712782i | ||||
\(676\) | −0.559191 | − | 1.72101i | −0.0215073 | − | 0.0661928i | ||||
\(677\) | 2.07893 | + | 1.05927i | 0.0798999 | + | 0.0407110i | 0.493484 | − | 0.869755i | \(-0.335723\pi\) |
−0.413584 | + | 0.910466i | \(0.635723\pi\) | |||||||
\(678\) | 2.31421 | + | 14.6114i | 0.0888767 | + | 0.561146i | ||||
\(679\) | −11.3369 | + | 8.23673i | −0.435070 | + | 0.316097i | ||||
\(680\) | 1.21911 | − | 11.6329i | 0.0467507 | − | 0.446103i | ||||
\(681\) | − | 6.89132i | − | 0.264076i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.0400 | + | 25.0400i | −0.958127 | + | 0.958127i | −0.999158 | − | 0.0410307i | \(-0.986936\pi\) |
0.0410307 | + | 0.999158i | \(0.486936\pi\) | |||||||
\(684\) | −0.577053 | + | 1.77599i | −0.0220642 | + | 0.0679066i | ||||
\(685\) | −27.6256 | + | 1.45618i | −1.05552 | + | 0.0556380i | ||||
\(686\) | −18.8423 | − | 13.6897i | −0.719401 | − | 0.522676i | ||||
\(687\) | −7.40730 | + | 14.5376i | −0.282606 | + | 0.554646i | ||||
\(688\) | 13.8738 | − | 27.2288i | 0.528933 | − | 1.03809i | ||||
\(689\) | −6.80110 | − | 4.94129i | −0.259101 | − | 0.188248i | ||||
\(690\) | −7.55337 | + | 0.398149i | −0.287552 | + | 0.0151573i | ||||
\(691\) | −0.556172 | + | 1.71172i | −0.0211578 | + | 0.0651170i | −0.961078 | − | 0.276277i | \(-0.910899\pi\) |
0.939920 | + | 0.341394i | \(0.110899\pi\) | |||||||
\(692\) | −0.456241 | + | 0.456241i | −0.0173437 | + | 0.0173437i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 44.2510i | − | 1.67974i | ||||||
\(695\) | 0.235245 | − | 2.24475i | 0.00892336 | − | 0.0851482i | ||||
\(696\) | −1.83081 | + | 1.33016i | −0.0693967 | + | 0.0504196i | ||||
\(697\) | 0.174147 | + | 1.09952i | 0.00659628 | + | 0.0416473i | ||||
\(698\) | 27.9094 | + | 14.2205i | 1.05638 | + | 0.538255i | ||||
\(699\) | −0.955200 | − | 2.93980i | −0.0361290 | − | 0.111194i | ||||
\(700\) | −1.71223 | − | 2.63311i | −0.0647163 | − | 0.0995223i | ||||
\(701\) | −10.4715 | − | 14.4128i | −0.395502 | − | 0.544362i | 0.564106 | − | 0.825703i | \(-0.309221\pi\) |
−0.959608 | + | 0.281340i | \(0.909221\pi\) | |||||||
\(702\) | 5.34171 | − | 2.72174i | 0.201610 | − | 0.102725i | ||||
\(703\) | −18.9468 | − | 18.9468i | −0.714593 | − | 0.714593i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.16587 | + | 0.461055i | −0.0815713 | + | 0.0173643i | ||||
\(706\) | 5.57255 | + | 1.81063i | 0.209726 | + | 0.0681440i | ||||
\(707\) | 55.3357 | + | 8.76432i | 2.08111 | + | 0.329616i | ||||
\(708\) | −1.14071 | + | 0.180671i | −0.0428706 | + | 0.00679003i | ||||
\(709\) | 9.55567 | − | 3.10483i | 0.358871 | − | 0.116604i | −0.124032 | − | 0.992278i | \(-0.539583\pi\) |
0.482903 | + | 0.875674i | \(0.339583\pi\) | |||||||
\(710\) | −27.2048 | − | 7.28067i | −1.02098 | − | 0.273239i | ||||
\(711\) | 3.09743 | − | 4.26324i | 0.116163 | − | 0.159884i | ||||
\(712\) | 5.91351 | − | 37.3365i | 0.221618 | − | 1.39924i | ||||
\(713\) | −0.533487 | − | 1.04703i | −0.0199793 | − | 0.0392115i | ||||
\(714\) | −9.91691 | −0.371131 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.554298 | 0.0207151 | ||||||||
\(717\) | 1.21427 | + | 2.38314i | 0.0453478 | + | 0.0890001i | ||||
\(718\) | 2.46302 | − | 15.5509i | 0.0919193 | − | 0.580355i | ||||
\(719\) | −4.03181 | + | 5.54931i | −0.150361 | + | 0.206954i | −0.877553 | − | 0.479480i | \(-0.840825\pi\) |
0.727191 | + | 0.686435i | \(0.240825\pi\) | |||||||
\(720\) | 19.0988 | − | 11.0344i | 0.711770 | − | 0.411228i | ||||
\(721\) | −40.4204 | + | 13.1334i | −1.50533 | + | 0.489113i | ||||
\(722\) | −15.2088 | + | 2.40884i | −0.566014 | + | 0.0896478i | ||||
\(723\) | 20.8943 | + | 3.30933i | 0.777067 | + | 0.123075i | ||||
\(724\) | −0.856964 | − | 0.278444i | −0.0318488 | − | 0.0103483i | ||||
\(725\) | 4.57485 | − | 2.04017i | 0.169906 | − | 0.0757702i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2212 | − | 25.2212i | −0.935401 | − | 0.935401i | 0.0626351 | − | 0.998036i | \(-0.480050\pi\) |
−0.998036 | + | 0.0626351i | \(0.980050\pi\) | |||||||
\(728\) | −9.43398 | + | 4.80685i | −0.349647 | + | 0.178154i | ||||
\(729\) | −2.08750 | − | 2.87320i | −0.0773149 | − | 0.106415i | ||||
\(730\) | −16.3538 | − | 7.27525i | −0.605281 | − | 0.269269i | ||||
\(731\) | 4.25759 | + | 13.1035i | 0.157473 | + | 0.484651i | ||||
\(732\) | 0.860158 | + | 0.438272i | 0.0317924 | + | 0.0161990i | ||||
\(733\) | −1.20620 | − | 7.61562i | −0.0445519 | − | 0.281289i | 0.955347 | − | 0.295485i | \(-0.0954812\pi\) |
−0.999899 | + | 0.0141956i | \(0.995481\pi\) | |||||||
\(734\) | 41.0401 | − | 29.8174i | 1.51482 | − | 1.10058i | ||||
\(735\) | 15.5749 | − | 12.6201i | 0.574490 | − | 0.465501i | ||||
\(736\) | − | 2.33188i | − | 0.0859543i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.38095 | + | 1.38095i | −0.0508336 | + | 0.0508336i | ||||
\(739\) | 12.6089 | − | 38.8062i | 0.463825 | − | 1.42751i | −0.396629 | − | 0.917979i | \(-0.629820\pi\) |
0.860454 | − | 0.509528i | \(-0.170180\pi\) | |||||||
\(740\) | −0.0865259 | − | 1.64150i | −0.00318075 | − | 0.0603427i | ||||
\(741\) | 3.38633 | + | 2.46031i | 0.124400 | + | 0.0903819i | ||||
\(742\) | −25.4776 | + | 50.0027i | −0.935313 | + | 1.83566i | ||||
\(743\) | −20.1411 | + | 39.5290i | −0.738904 | + | 1.45018i | 0.148368 | + | 0.988932i | \(0.452598\pi\) |
−0.887271 | + | 0.461248i | \(0.847402\pi\) | |||||||
\(744\) | −0.774746 | − | 0.562886i | −0.0284036 | − | 0.0206364i | ||||
\(745\) | −1.82563 | + | 2.02880i | −0.0668859 | + | 0.0743296i | ||||
\(746\) | 6.34530 | − | 19.5288i | 0.232318 | − | 0.715001i | ||||
\(747\) | −3.24412 | + | 3.24412i | −0.118696 | + | 0.118696i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 25.9946i | 0.949821i | ||||||||
\(750\) | 12.9725 | − | 4.22805i | 0.473688 | − | 0.154387i | ||||
\(751\) | 10.6518 | − | 7.73896i | 0.388688 | − | 0.282399i | −0.376229 | − | 0.926527i | \(-0.622780\pi\) |
0.764918 | + | 0.644128i | \(0.222780\pi\) | |||||||
\(752\) | −0.795708 | − | 5.02390i | −0.0290165 | − | 0.183203i | ||||
\(753\) | 12.0944 | + | 6.16240i | 0.440744 | + | 0.224570i | ||||
\(754\) | 0.420104 | + | 1.29295i | 0.0152993 | + | 0.0470864i | ||||
\(755\) | −1.44215 | + | 3.24177i | −0.0524853 | + | 0.117980i | ||||
\(756\) | −1.63123 | − | 2.24520i | −0.0593274 | − | 0.0816571i | ||||
\(757\) | −17.7060 | + | 9.02166i | −0.643535 | + | 0.327898i | −0.745121 | − | 0.666929i | \(-0.767608\pi\) |
0.101586 | + | 0.994827i | \(0.467608\pi\) | |||||||
\(758\) | 27.4703 | + | 27.4703i | 0.997768 | + | 0.997768i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 27.6455 | + | 17.9413i | 1.00281 | + | 0.650799i | ||||
\(761\) | −16.8706 | − | 5.48158i | −0.611558 | − | 0.198707i | −0.0131694 | − | 0.999913i | \(-0.504192\pi\) |
−0.598389 | + | 0.801206i | \(0.704192\pi\) | |||||||
\(762\) | 1.39763 | + | 0.221363i | 0.0506309 | + | 0.00801914i | ||||
\(763\) | 82.9328 | − | 13.1353i | 3.00237 | − | 0.475528i | ||||
\(764\) | −2.34625 | + | 0.762341i | −0.0848842 | + | 0.0275805i | ||||
\(765\) | −2.57093 | + | 9.60647i | −0.0929521 | + | 0.347323i | ||||
\(766\) | 20.7124 | − | 28.5082i | 0.748371 | − | 1.03004i | ||||
\(767\) | 1.34813 | − | 8.51175i | 0.0486781 | − | 0.307342i | ||||
\(768\) | −1.34437 | − | 2.63847i | −0.0485107 | − | 0.0952076i | ||||
\(769\) | 33.4001 | 1.20444 | 0.602218 | − | 0.798331i | \(-0.294284\pi\) | ||||
0.602218 | + | 0.798331i | \(0.294284\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.4894 | 0.485810 | ||||||||
\(772\) | −1.14769 | − | 2.25247i | −0.0413064 | − | 0.0810683i | ||||
\(773\) | −5.96974 | + | 37.6915i | −0.214717 | + | 1.35567i | 0.611021 | + | 0.791614i | \(0.290759\pi\) |
−0.825738 | + | 0.564054i | \(0.809241\pi\) | |||||||
\(774\) | −14.2073 | + | 19.5547i | −0.510671 | + | 0.702878i | ||||
\(775\) | 1.41933 | + | 1.57440i | 0.0509837 | + | 0.0565542i | ||||
\(776\) | 8.57893 | − | 2.78746i | 0.307966 | − | 0.100064i | ||||
\(777\) | 17.0975 | − | 2.70797i | 0.613369 | − | 0.0971480i | ||||
\(778\) | −10.9251 | − | 1.73036i | −0.391683 | − | 0.0620365i | ||||
\(779\) | −2.98315 | − | 0.969285i | −0.106882 | − | 0.0347282i | ||||
\(780\) | 0.0534639 | + | 0.251154i | 0.00191432 | + | 0.00899276i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 5.53895 | + | 5.53895i | 0.198072 | + | 0.198072i | ||||
\(783\) | 3.94360 | − | 2.00936i | 0.140933 | − | 0.0718088i | ||||
\(784\) | 27.0654 | + | 37.2523i | 0.966621 | + | 1.33044i | ||||
\(785\) | −5.94993 | − | 15.4861i | −0.212362 | − | 0.552722i | ||||
\(786\) | 5.45050 | + | 16.7749i | 0.194413 | + | 0.598341i | ||||
\(787\) | −32.7403 | − | 16.6820i | −1.16706 | − | 0.594649i | −0.240450 | − | 0.970662i | \(-0.577295\pi\) |
−0.926614 | + | 0.376013i | \(0.877295\pi\) | |||||||
\(788\) | 0.317689 | + | 2.00581i | 0.0113172 | + | 0.0714541i | ||||
\(789\) | −0.645642 | + | 0.469086i | −0.0229855 | + | 0.0166999i | ||||
\(790\) | 4.71386 | + | 5.81753i | 0.167712 | + | 0.206978i | ||||
\(791\) | 51.0989i | 1.81687i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.09361 | + | 5.09361i | −0.180879 | + | 0.180879i | ||||
\(794\) | 10.3140 | − | 31.7434i | 0.366032 | − | 1.12653i | ||||
\(795\) | −12.5663 | − | 11.3079i | −0.445681 | − | 0.401049i | ||||
\(796\) | 2.34087 | + | 1.70074i | 0.0829700 | + | 0.0602812i | ||||
\(797\) | −9.14395 | + | 17.9460i | −0.323895 | + | 0.635680i | −0.994336 | − | 0.106283i | \(-0.966105\pi\) |
0.670441 | + | 0.741963i | \(0.266105\pi\) | |||||||
\(798\) | 12.6855 | − | 24.8968i | 0.449063 | − | 0.881337i | ||||
\(799\) | 1.85529 | + | 1.34795i | 0.0656355 | + | 0.0476870i | ||||
\(800\) | 1.09115 | + | 4.06240i | 0.0385781 | + | 0.143627i | ||||
\(801\) | −9.93160 | + | 30.5663i | −0.350916 | + | 1.08001i | ||||
\(802\) | −25.0253 | + | 25.0253i | −0.883674 | + | 0.883674i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.536020i | 0.0189040i | ||||||||
\(805\) | −25.9844 | − | 2.72311i | −0.915829 | − | 0.0959770i | ||||
\(806\) | −0.465424 | + | 0.338150i | −0.0163939 | + | 0.0119108i | ||||
\(807\) | −3.70156 | − | 23.3708i | −0.130301 | − | 0.822690i | ||||
\(808\) | −32.1334 | − | 16.3728i | −1.13045 | − | 0.575993i | ||||
\(809\) | 16.0484 | + | 49.3920i | 0.564233 | + | 1.73653i | 0.670220 | + | 0.742162i | \(0.266200\pi\) |
−0.105987 | + | 0.994367i | \(0.533800\pi\) | |||||||
\(810\) | −9.92374 | + | 3.81281i | −0.348685 | + | 0.133969i | ||||
\(811\) | 23.0252 | + | 31.6914i | 0.808523 | + | 1.11284i | 0.991550 | + | 0.129728i | \(0.0414104\pi\) |
−0.183027 | + | 0.983108i | \(0.558590\pi\) | |||||||
\(812\) | 0.560729 | − | 0.285706i | 0.0196777 | − | 0.0100263i | ||||
\(813\) | −18.1009 | − | 18.1009i | −0.634826 | − | 0.634826i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.7569 | − | 28.9022i | 0.657025 | − | 1.01240i | ||||
\(816\) | 6.52607 | + | 2.12045i | 0.228458 | + | 0.0742306i | ||||
\(817\) | −38.3431 | − | 6.07296i | −1.34146 | − | 0.212466i | ||||
\(818\) | 8.47873 | − | 1.34290i | 0.296452 | − | 0.0469533i | ||||
\(819\) | 8.56139 | − | 2.78176i | 0.299159 | − | 0.0972027i | ||||
\(820\) | −0.0962628 | − | 0.166616i | −0.00336164 | − | 0.00581847i | ||||
\(821\) | 14.6926 | − | 20.2226i | 0.512775 | − | 0.705774i | −0.471609 | − | 0.881808i | \(-0.656327\pi\) |
0.984384 | + | 0.176034i | \(0.0563268\pi\) | |||||||
\(822\) | 2.36185 | − | 14.9121i | 0.0823789 | − | 0.520120i | ||||
\(823\) | 10.4310 | + | 20.4719i | 0.363600 | + | 0.713606i | 0.998246 | − | 0.0591972i | \(-0.0188541\pi\) |
−0.634646 | + | 0.772803i | \(0.718854\pi\) | |||||||
\(824\) | 27.3580 | 0.953062 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.5294 | −2.00170 | ||||||||
\(827\) | 2.51391 | + | 4.93382i | 0.0874171 | + | 0.171566i | 0.930576 | − | 0.366099i | \(-0.119307\pi\) |
−0.843159 | + | 0.537664i | \(0.819307\pi\) | |||||||
\(828\) | −0.149071 | + | 0.941197i | −0.00518057 | + | 0.0327089i | ||||
\(829\) | 8.80126 | − | 12.1139i | 0.305680 | − | 0.420733i | −0.628348 | − | 0.777933i | \(-0.716268\pi\) |
0.934028 | + | 0.357200i | \(0.116268\pi\) | |||||||
\(830\) | −3.26114 | − | 5.64452i | −0.113196 | − | 0.195924i | ||||
\(831\) | 23.8694 | − | 7.75564i | 0.828020 | − | 0.269040i | ||||
\(832\) | 6.69109 | − | 1.05976i | 0.231972 | − | 0.0367407i | ||||
\(833\) | −20.5045 | − | 3.24759i | −0.710439 | − | 0.112522i | ||||
\(834\) | 1.17153 | + | 0.380652i | 0.0405666 | + | 0.0131809i | ||||
\(835\) | 5.05192 | − | 7.78443i | 0.174829 | − | 0.269391i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.32438 | + | 1.32438i | 0.0457773 | + | 0.0457773i | ||||
\(838\) | −14.4461 | + | 7.36068i | −0.499034 | + | 0.254270i | ||||
\(839\) | −7.40356 | − | 10.1901i | −0.255599 | − | 0.351802i | 0.661863 | − | 0.749625i | \(-0.269766\pi\) |
−0.917462 | + | 0.397823i | \(0.869766\pi\) | |||||||
\(840\) | −19.8751 | + | 7.63625i | −0.685756 | + | 0.263476i | ||||
\(841\) | −8.65134 | − | 26.6261i | −0.298322 | − | 0.918141i | ||||
\(842\) | 10.2836 | + | 5.23975i | 0.354396 | + | 0.180574i | ||||
\(843\) | −1.10941 | − | 7.00457i | −0.0382103 | − | 0.241250i | ||||
\(844\) | 0.770496 | − | 0.559798i | 0.0265216 | − | 0.0192691i | ||||
\(845\) | 27.0049 | + | 2.83006i | 0.928998 | + | 0.0973572i | ||||
\(846\) | 4.02315i | 0.138319i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 27.4579 | − | 27.4579i | 0.942907 | − | 0.942907i | ||||
\(849\) | 2.45461 | − | 7.55451i | 0.0842420 | − | 0.259270i | ||||
\(850\) | −12.2413 | − | 7.05763i | −0.419873 | − | 0.242075i | ||||
\(851\) | −11.0621 | − | 8.03706i | −0.379203 | − | 0.275507i | ||||
\(852\) | 0.483867 | − | 0.949642i | 0.0165770 | − | 0.0325342i | ||||
\(853\) | 22.5965 | − | 44.3481i | 0.773689 | − | 1.51845i | −0.0794926 | − | 0.996835i | \(-0.525330\pi\) |
0.853181 | − | 0.521614i | \(-0.174670\pi\) | |||||||
\(854\) | 38.9035 | + | 28.2651i | 1.33125 | + | 0.967211i | ||||
\(855\) | −20.8287 | − | 18.7429i | −0.712328 | − | 0.640992i | ||||
\(856\) | 5.17078 | − | 15.9140i | 0.176734 | − | 0.543930i | ||||
\(857\) | −21.2860 | + | 21.2860i | −0.727117 | + | 0.727117i | −0.970044 | − | 0.242927i | \(-0.921892\pi\) |
0.242927 | + | 0.970044i | \(0.421892\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 9.31402i | − | 0.317790i | −0.987295 | − | 0.158895i | \(-0.949207\pi\) | ||
0.987295 | − | 0.158895i | \(-0.0507932\pi\) | |||||||
\(860\) | −1.49932 | − | 1.85036i | −0.0511263 | − | 0.0630967i | ||||
\(861\) | 1.63941 | − | 1.19110i | 0.0558709 | − | 0.0405926i | ||||
\(862\) | −1.67475 | − | 10.5740i | −0.0570424 | − | 0.360151i | ||||
\(863\) | 31.5320 | + | 16.0664i | 1.07336 | + | 0.546905i | 0.899077 | − | 0.437790i | \(-0.144239\pi\) |
0.174285 | + | 0.984695i | \(0.444239\pi\) | |||||||
\(864\) | 1.14852 | + | 3.53479i | 0.0390735 | + | 0.120256i | ||||
\(865\) | −3.47231 | − | 9.03749i | −0.118062 | − | 0.307284i | ||||
\(866\) | −4.34927 | − | 5.98625i | −0.147794 | − | 0.203421i | ||||
\(867\) | 9.85305 | − | 5.02038i | 0.334627 | − | 0.170501i | ||||
\(868\) | 0.188310 | + | 0.188310i | 0.00639166 | + | 0.00639166i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.569202 | + | 2.67390i | 0.0192978 | + | 0.0906538i | ||||
\(871\) | −3.80391 | − | 1.23597i | −0.128891 | − | 0.0418791i | ||||
\(872\) | −53.3847 | − | 8.45531i | −1.80783 | − | 0.286333i | ||||
\(873\) | −7.57478 | + | 1.19973i | −0.256368 | + | 0.0406046i | ||||
\(874\) | −20.9911 | + | 6.82042i | −0.710034 | + | 0.230704i | ||||
\(875\) | 46.5418 | − | 7.41486i | 1.57340 | − | 0.250668i | ||||
\(876\) | 0.398163 | − | 0.548025i | 0.0134527 | − | 0.0185160i | ||||
\(877\) | 3.41955 | − | 21.5902i | 0.115470 | − | 0.729048i | −0.860225 | − | 0.509915i | \(-0.829677\pi\) |
0.975695 | − | 0.219133i | \(-0.0703230\pi\) | |||||||
\(878\) | 0.863707 | + | 1.69512i | 0.0291487 | + | 0.0572076i | ||||
\(879\) | −1.92089 | −0.0647901 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 46.4810 | 1.56599 | 0.782993 | − | 0.622031i | \(-0.213692\pi\) | ||||
0.782993 | + | 0.622031i | \(0.213692\pi\) | |||||||
\(882\) | −16.5344 | − | 32.4505i | −0.556741 | − | 1.09267i | ||||
\(883\) | 4.36822 | − | 27.5798i | 0.147002 | − | 0.928135i | −0.798376 | − | 0.602159i | \(-0.794307\pi\) |
0.945378 | − | 0.325976i | \(-0.105693\pi\) | |||||||
\(884\) | 0.156308 | − | 0.215140i | 0.00525721 | − | 0.00723593i | ||||
\(885\) | 4.48021 | − | 16.7407i | 0.150601 | − | 0.562731i | ||||
\(886\) | −21.4719 | + | 6.97665i | −0.721363 | + | 0.234385i | ||||
\(887\) | 6.95351 | − | 1.10133i | 0.233476 | − | 0.0369790i | −0.0385999 | − | 0.999255i | \(-0.512290\pi\) |
0.272076 | + | 0.962276i | \(0.412290\pi\) | |||||||
\(888\) | −11.0058 | − | 1.74315i | −0.369331 | − | 0.0584963i | ||||
\(889\) | 4.64858 | + | 1.51041i | 0.155908 | + | 0.0506577i | ||||
\(890\) | −38.3066 | − | 24.8601i | −1.28404 | − | 0.833313i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.49577 | − | 1.49577i | −0.0500822 | − | 0.0500822i | ||||
\(893\) | −5.75734 | + | 2.93351i | −0.192662 | + | 0.0981662i | ||||
\(894\) | −0.875532 | − | 1.20507i | −0.0292822 | − | 0.0403035i | ||||
\(895\) | −3.38064 | + | 7.59923i | −0.113002 | + | 0.254014i | ||||
\(896\) | −16.1666 | − | 49.7558i | −0.540090 | − | 1.66223i | ||||
\(897\) | 1.90318 | + | 0.969718i | 0.0635453 | + | 0.0323780i | ||||
\(898\) | −2.78007 | − | 17.5527i | −0.0927721 | − | 0.585740i | ||||
\(899\) | −0.343606 | + | 0.249644i | −0.0114599 | + | 0.00832611i | ||||
\(900\) | −0.180715 | − | 1.70942i | −0.00602382 | − | 0.0569808i | ||||
\(901\) | 17.5071i | 0.583247i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.7343 | − | 17.7343i | 0.590160 | − | 0.590160i | ||||
\(904\) | 10.1645 | − | 31.2830i | 0.338065 | − | 1.04046i | ||||
\(905\) | 9.04395 | − | 10.0504i | 0.300631 | − | 0.334088i | ||||
\(906\) | −1.56659 | − | 1.13820i | −0.0520466 | − | 0.0378141i | ||||
\(907\) | 13.4148 | − | 26.3281i | 0.445433 | − | 0.874211i | −0.553706 | − | 0.832712i | \(-0.686787\pi\) |
0.999139 | − | 0.0414984i | \(-0.0132131\pi\) | |||||||
\(908\) | 0.560050 | − | 1.09916i | 0.0185859 | − | 0.0364769i | ||||
\(909\) | 24.8061 | + | 18.0227i | 0.822765 | + | 0.597774i | ||||
\(910\) | 0.673287 | + | 12.7731i | 0.0223193 | + | 0.423423i | ||||
\(911\) | 5.23886 | − | 16.1236i | 0.173571 | − | 0.534198i | −0.825994 | − | 0.563679i | \(-0.809386\pi\) |
0.999565 | + | 0.0294813i | \(0.00938555\pi\) | |||||||
\(912\) | −13.6715 | + | 13.6715i | −0.452709 | + | 0.452709i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 5.14655i | 0.170233i | ||||||||
\(915\) | −11.2546 | + | 9.11946i | −0.372066 | + | 0.301480i | ||||
\(916\) | −2.36292 | + | 1.71676i | −0.0780729 | + | 0.0567233i | ||||
\(917\) | 9.53075 | + | 60.1748i | 0.314733 | + | 1.98715i | ||||
\(918\) | −11.1243 | − | 5.66813i | −0.367158 | − | 0.187076i | ||||
\(919\) | 1.55222 | + | 4.77725i | 0.0512030 | + | 0.157587i | 0.973388 | − | 0.229161i | \(-0.0735983\pi\) |
−0.922185 | + | 0.386748i | \(0.873598\pi\) | |||||||
\(920\) | 15.3661 | + | 6.83585i | 0.506605 | + | 0.225371i | ||||
\(921\) | −8.62467 | − | 11.8708i | −0.284193 | − | 0.391158i | ||||
\(922\) | −7.12304 | + | 3.62937i | −0.234585 | + | 0.119527i | ||||
\(923\) | 5.62351 | + | 5.62351i | 0.185100 | + | 0.185100i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.0321 | + | 8.82519i | 0.757290 | + | 0.290170i | ||||
\(926\) | −30.3635 | − | 9.86569i | −0.997805 | − | 0.324207i | ||||
\(927\) | −22.9736 | − | 3.63865i | −0.754551 | − | 0.119509i | ||||
\(928\) | −0.832439 | + | 0.131845i | −0.0273262 | + | 0.00432804i | ||||
\(929\) | 11.2348 | − | 3.65041i | 0.368602 | − | 0.119766i | −0.118858 | − | 0.992911i | \(-0.537923\pi\) |
0.487460 | + | 0.873145i | \(0.337923\pi\) | |||||||
\(930\) | −1.00170 | + | 0.578739i | −0.0328472 | + | 0.0189776i | ||||
\(931\) | 34.3822 | − | 47.3231i | 1.12683 | − | 1.55095i | ||||
\(932\) | 0.0865609 | − | 0.546524i | 0.00283540 | − | 0.0179020i | ||||
\(933\) | −5.71194 | − | 11.2103i | −0.187001 | − | 0.367009i | ||||
\(934\) | −21.5258 | −0.704346 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.79466 | −0.189405 | ||||||||
\(937\) | 1.04060 | + | 2.04229i | 0.0339949 | + | 0.0667187i | 0.907379 | − | 0.420313i | \(-0.138080\pi\) |
−0.873384 | + | 0.487032i | \(0.838080\pi\) | |||||||
\(938\) | −4.17683 | + | 26.3715i | −0.136378 | + | 0.861060i | ||||
\(939\) | −12.7791 | + | 17.5889i | −0.417029 | + | 0.573991i | ||||
\(940\) | −0.382923 | − | 0.102480i | −0.0124896 | − | 0.00334252i | ||||
\(941\) | −1.68653 | + | 0.547988i | −0.0549794 | + | 0.0178639i | −0.336378 | − | 0.941727i | \(-0.609202\pi\) |
0.281398 | + | 0.959591i | \(0.409202\pi\) | |||||||
\(942\) | 8.94264 | − | 1.41638i | 0.291367 | − | 0.0461480i | ||||
\(943\) | −1.58094 | − | 0.250397i | −0.0514826 | − | 0.00815404i | ||||
\(944\) | 37.8587 | + | 12.3010i | 1.23219 | + | 0.400364i | ||||
\(945\) | 40.7297 | − | 8.67026i | 1.32494 | − | 0.282043i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.63289 | − | 8.63289i | −0.280531 | − | 0.280531i | 0.552790 | − | 0.833321i | \(-0.313563\pi\) |
−0.833321 | + | 0.552790i | \(0.813563\pi\) | |||||||
\(948\) | −0.252485 | + | 0.128648i | −0.00820033 | + | 0.00417828i | ||||
\(949\) | 2.97101 | + | 4.08925i | 0.0964431 | + | 0.132743i | ||||
\(950\) | 33.3773 | − | 21.7042i | 1.08290 | − | 0.704178i | ||||
\(951\) | 7.28714 | + | 22.4275i | 0.236302 | + | 0.727262i | ||||
\(952\) | 19.6466 | + | 10.0105i | 0.636752 | + | 0.324441i | ||||
\(953\) | −2.88376 | − | 18.2074i | −0.0934143 | − | 0.589794i | −0.989344 | − | 0.145598i | \(-0.953489\pi\) |
0.895930 | − | 0.444196i | \(-0.146511\pi\) | |||||||
\(954\) | −24.8476 | + | 18.0528i | −0.804470 | + | 0.584482i | ||||
\(955\) | 3.85821 | − | 36.8157i | 0.124849 | − | 1.19133i | ||||
\(956\) | 0.478792i | 0.0154852i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.09348 | + | 5.09348i | −0.164563 | + | 0.164563i | ||||
\(959\) | 16.1154 | − | 49.5982i | 0.520395 | − | 1.60161i | ||||
\(960\) | 13.6041 | − | 0.717090i | 0.439069 | − | 0.0231440i | ||||
\(961\) | 24.9341 | + | 18.1157i | 0.804327 | + | 0.584377i | ||||
\(962\) | −3.03906 | + | 5.96448i | −0.0979831 | + | 0.192303i | ||||
\(963\) | −6.45868 | + | 12.6759i | −0.208128 | + | 0.408474i | ||||
\(964\) | 3.06368 | + | 2.22589i | 0.0986743 | + | 0.0716911i | ||||
\(965\) | 37.8803 | − | 1.99673i | 1.21941 | − | 0.0642770i | ||||
\(966\) | 4.40628 | − | 13.5611i | 0.141770 | − | 0.436322i | ||||
\(967\) | −9.49113 | + | 9.49113i | −0.305214 | + | 0.305214i | −0.843050 | − | 0.537836i | \(-0.819242\pi\) |
0.537836 | + | 0.843050i | \(0.319242\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 8.71697i | − | 0.280029i | ||||||
\(970\) | 1.13577 | − | 10.8377i | 0.0364675 | − | 0.347979i | ||||
\(971\) | −41.4379 | + | 30.1064i | −1.32981 | + | 0.966161i | −0.330053 | + | 0.943963i | \(0.607067\pi\) |
−0.999754 | + | 0.0221983i | \(0.992933\pi\) | |||||||
\(972\) | −0.371911 | − | 2.34815i | −0.0119291 | − | 0.0753171i | ||||
\(973\) | 3.79111 | + | 1.93167i | 0.121538 | + | 0.0619265i | ||||
\(974\) | −4.86416 | − | 14.9703i | −0.155858 | − | 0.479681i | ||||
\(975\) | −3.76931 | − | 0.798805i | −0.120714 | − | 0.0255822i | ||||
\(976\) | −19.5578 | − | 26.9190i | −0.626029 | − | 0.861655i | ||||
\(977\) | 12.9020 | − | 6.57391i | 0.412772 | − | 0.210318i | −0.235257 | − | 0.971933i | \(-0.575593\pi\) |
0.648030 | + | 0.761615i | \(0.275593\pi\) | |||||||
\(978\) | 13.2967 | + | 13.2967i | 0.425183 | + | 0.425183i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.50981 | − | 0.747144i | 0.112117 | − | 0.0238666i | ||||
\(981\) | 43.7046 | + | 14.2005i | 1.39538 | + | 0.453386i | ||||
\(982\) | 4.71447 | + | 0.746699i | 0.150445 | + | 0.0238281i | ||||
\(983\) | −56.8388 | + | 9.00238i | −1.81288 | + | 0.287131i | −0.968572 | − | 0.248734i | \(-0.919986\pi\) |
−0.844304 | + | 0.535865i | \(0.819986\pi\) | |||||||
\(984\) | −1.24059 | + | 0.403091i | −0.0395484 | + | 0.0128501i | ||||
\(985\) | −29.4365 | − | 7.87794i | −0.937926 | − | 0.251012i | ||||
\(986\) | 1.66413 | − | 2.29048i | 0.0529967 | − | 0.0729437i | ||||
\(987\) | 0.653031 | − | 4.12308i | 0.0207862 | − | 0.131239i | ||||
\(988\) | 0.340170 | + | 0.667621i | 0.0108222 | + | 0.0212399i | ||||
\(989\) | −19.8105 | −0.629936 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.1102 | 0.416458 | 0.208229 | − | 0.978080i | \(-0.433230\pi\) | ||||
0.208229 | + | 0.978080i | \(0.433230\pi\) | |||||||
\(992\) | −0.161918 | − | 0.317782i | −0.00514090 | − | 0.0100896i | ||||
\(993\) | 3.20952 | − | 20.2641i | 0.101851 | − | 0.643062i | ||||
\(994\) | 31.2055 | − | 42.9507i | 0.989779 | − | 1.36231i | ||||
\(995\) | −37.5934 | + | 21.7198i | −1.19179 | + | 0.688563i | ||||
\(996\) | 0.234634 | − | 0.0762372i | 0.00743466 | − | 0.00241567i | ||||
\(997\) | −2.22714 | + | 0.352744i | −0.0705343 | + | 0.0111715i | −0.191602 | − | 0.981473i | \(-0.561368\pi\) |
0.121068 | + | 0.992644i | \(0.461368\pi\) | |||||||
\(998\) | 12.9469 | + | 2.05059i | 0.409828 | + | 0.0649104i | ||||
\(999\) | 20.7269 | + | 6.73459i | 0.655772 | + | 0.213073i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))