Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 163.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.a.568.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.826352 | + | 0.300767i | −0.584319 | + | 0.212675i | −0.617229 | − | 0.786784i | \(-0.711745\pi\) |
0.0329100 | + | 0.999458i | \(0.489523\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | + | 0.788496i | −0.469846 | + | 0.394248i | ||||
\(5\) | −0.673648 | − | 3.82045i | −0.301265 | − | 1.70856i | −0.640586 | − | 0.767886i | \(-0.721309\pi\) |
0.339322 | − | 0.940670i | \(-0.389802\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.67365 | − | 1.40436i | −0.632580 | − | 0.530797i | 0.269150 | − | 0.963098i | \(-0.413257\pi\) |
−0.901729 | + | 0.432301i | \(0.857702\pi\) | |||||||
\(8\) | 1.41875 | − | 2.45734i | 0.501603 | − | 0.868802i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.70574 | + | 2.95442i | 0.539401 | + | 0.934271i | ||||
\(11\) | −0.0282185 | + | 0.160035i | −0.00850820 | + | 0.0482524i | −0.988766 | − | 0.149470i | \(-0.952243\pi\) |
0.980258 | + | 0.197722i | \(0.0633544\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.26604 | − | 0.824773i | −0.628488 | − | 0.228751i | 0.00808527 | − | 0.999967i | \(-0.497426\pi\) |
−0.636573 | + | 0.771217i | \(0.719649\pi\) | |||||||
\(14\) | 1.80541 | + | 0.657115i | 0.482515 | + | 0.175621i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.00727396 | + | 0.0412527i | −0.00181849 | + | 0.0103132i | ||||
\(17\) | 1.50000 | + | 2.59808i | 0.363803 | + | 0.630126i | 0.988583 | − | 0.150675i | \(-0.0481447\pi\) |
−0.624780 | + | 0.780801i | \(0.714811\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.79813 | + | 3.11446i | −0.412520 | + | 0.714506i | −0.995165 | − | 0.0982214i | \(-0.968685\pi\) |
0.582645 | + | 0.812727i | \(0.302018\pi\) | |||||||
\(20\) | 3.64543 | + | 3.05888i | 0.815143 | + | 0.683986i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0248149 | − | 0.140732i | −0.00529056 | − | 0.0300043i | ||||
\(23\) | −2.17365 | + | 1.82391i | −0.453237 | + | 0.380311i | −0.840635 | − | 0.541601i | \(-0.817818\pi\) |
0.387398 | + | 0.921912i | \(0.373374\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −9.44356 | + | 3.43718i | −1.88871 | + | 0.687435i | ||||
\(26\) | 2.12061 | 0.415887 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.68004 | 0.506481 | ||||||||
\(29\) | 6.31180 | − | 2.29731i | 1.17207 | − | 0.426600i | 0.318677 | − | 0.947863i | \(-0.396761\pi\) |
0.853396 | + | 0.521264i | \(0.174539\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.97178 | + | 3.33272i | −0.713353 | + | 0.598574i | −0.925538 | − | 0.378655i | \(-0.876387\pi\) |
0.212185 | + | 0.977230i | \(0.431942\pi\) | |||||||
\(32\) | 0.979055 | + | 5.55250i | 0.173074 | + | 0.981553i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.02094 | − | 1.69577i | −0.346589 | − | 0.290823i | ||||
\(35\) | −4.23783 | + | 7.34013i | −0.716323 | + | 1.24071i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.31908 | + | 5.74881i | 0.545653 | + | 0.945099i | 0.998566 | + | 0.0535438i | \(0.0170517\pi\) |
−0.452912 | + | 0.891555i | \(0.649615\pi\) | |||||||
\(38\) | 0.549163 | − | 3.11446i | 0.0890860 | − | 0.505232i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.3439 | − | 3.76487i | −1.63551 | − | 0.595278i | ||||
\(41\) | −5.45084 | − | 1.98394i | −0.851278 | − | 0.309840i | −0.120717 | − | 0.992687i | \(-0.538519\pi\) |
−0.730561 | + | 0.682847i | \(0.760741\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.08125 | + | 6.13208i | −0.164889 | + | 0.935134i | 0.784289 | + | 0.620396i | \(0.213028\pi\) |
−0.949178 | + | 0.314739i | \(0.898083\pi\) | |||||||
\(44\) | −0.0996702 | − | 0.172634i | −0.0150259 | − | 0.0260255i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.24763 | − | 2.16095i | 0.183952 | − | 0.318615i | ||||
\(47\) | −5.66637 | − | 4.75465i | −0.826526 | − | 0.693537i | 0.127965 | − | 0.991779i | \(-0.459156\pi\) |
−0.954490 | + | 0.298241i | \(0.903600\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.386659 | − | 2.19285i | −0.0552370 | − | 0.313265i | ||||
\(50\) | 6.76991 | − | 5.68063i | 0.957411 | − | 0.803363i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.77972 | − | 1.01173i | 0.385477 | − | 0.140302i | ||||
\(53\) | −1.40373 | −0.192818 | −0.0964088 | − | 0.995342i | \(-0.530736\pi\) | ||||
−0.0964088 | + | 0.995342i | \(0.530736\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.630415 | 0.0850051 | ||||||||
\(56\) | −5.82547 | + | 2.12030i | −0.778462 | + | 0.283337i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.52481 | + | 3.79677i | −0.594137 | + | 0.498540i | ||||
\(59\) | 0.889185 | + | 5.04282i | 0.115762 | + | 0.656519i | 0.986370 | + | 0.164542i | \(0.0526146\pi\) |
−0.870608 | + | 0.491977i | \(0.836274\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.89646 | − | 2.43042i | −0.370854 | − | 0.311183i | 0.438246 | − | 0.898855i | \(-0.355600\pi\) |
−0.809099 | + | 0.587672i | \(0.800044\pi\) | |||||||
\(62\) | 2.27972 | − | 3.94858i | 0.289524 | − | 0.501470i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.52094 | − | 4.36640i | −0.315118 | − | 0.545801i | ||||
\(65\) | −1.62449 | + | 9.21291i | −0.201493 | + | 1.14272i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.51114 | + | 2.00589i | 0.673293 | + | 0.245059i | 0.655965 | − | 0.754791i | \(-0.272262\pi\) |
0.0173282 | + | 0.999850i | \(0.494484\pi\) | |||||||
\(68\) | −3.45811 | − | 1.25865i | −0.419358 | − | 0.152634i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.29426 | − | 7.34013i | 0.154694 | − | 0.877313i | ||||
\(71\) | −7.65910 | − | 13.2660i | −0.908968 | − | 1.57438i | −0.815500 | − | 0.578756i | \(-0.803538\pi\) |
−0.0934675 | − | 0.995622i | \(-0.529795\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.34002 | + | 7.51714i | −0.507961 | + | 0.879815i | 0.491996 | + | 0.870597i | \(0.336267\pi\) |
−0.999958 | + | 0.00921733i | \(0.997066\pi\) | |||||||
\(74\) | −4.47178 | − | 3.75227i | −0.519834 | − | 0.436193i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.766044 | − | 4.34445i | −0.0878713 | − | 0.498343i | ||||
\(77\) | 0.271974 | − | 0.228213i | 0.0309943 | − | 0.0260073i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.19207 | − | 0.433877i | 0.134118 | − | 0.0488149i | −0.274089 | − | 0.961704i | \(-0.588376\pi\) |
0.408207 | + | 0.912889i | \(0.366154\pi\) | |||||||
\(80\) | 0.162504 | 0.0181685 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.10101 | 0.563313 | ||||||||
\(83\) | −7.96451 | + | 2.89884i | −0.874218 | + | 0.318189i | −0.739874 | − | 0.672745i | \(-0.765115\pi\) |
−0.134344 | + | 0.990935i | \(0.542893\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.91534 | − | 7.48086i | 0.967005 | − | 0.811413i | ||||
\(86\) | −0.950837 | − | 5.39246i | −0.102531 | − | 0.581484i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.353226 | + | 0.296392i | 0.0376540 | + | 0.0315955i | ||||
\(89\) | 3.86097 | − | 6.68739i | 0.409262 | − | 0.708862i | −0.585546 | − | 0.810640i | \(-0.699120\pi\) |
0.994807 | + | 0.101778i | \(0.0324530\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.63429 | + | 4.56272i | 0.276148 | + | 0.478303i | ||||
\(92\) | 0.604418 | − | 3.42782i | 0.0630149 | − | 0.357375i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.11246 | + | 2.22475i | 0.630452 | + | 0.229466i | ||||
\(95\) | 13.1099 | + | 4.77163i | 1.34505 | + | 0.489559i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.678396 | + | 3.84737i | −0.0688807 | + | 0.390642i | 0.930804 | + | 0.365519i | \(0.119109\pi\) |
−0.999684 | + | 0.0251223i | \(0.992002\pi\) | |||||||
\(98\) | 0.979055 | + | 1.69577i | 0.0988995 | + | 0.171299i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.16385 | − | 10.6761i | 0.616385 | − | 1.06761i | ||||
\(101\) | 6.21554 | + | 5.21546i | 0.618469 | + | 0.518957i | 0.897322 | − | 0.441377i | \(-0.145510\pi\) |
−0.278853 | + | 0.960334i | \(0.589954\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.23783 | + | 18.3626i | 0.319032 | + | 1.80932i | 0.548661 | + | 0.836045i | \(0.315138\pi\) |
−0.229629 | + | 0.973278i | \(0.573751\pi\) | |||||||
\(104\) | −5.24170 | + | 4.39831i | −0.513991 | + | 0.431289i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.15998 | − | 0.422197i | 0.112667 | − | 0.0410074i | ||||
\(107\) | −7.59627 | −0.734359 | −0.367179 | − | 0.930150i | \(-0.619676\pi\) | ||||
−0.367179 | + | 0.930150i | \(0.619676\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.6382 | −1.49786 | −0.748932 | − | 0.662647i | \(-0.769433\pi\) | ||||
−0.748932 | + | 0.662647i | \(0.769433\pi\) | |||||||
\(110\) | −0.520945 | + | 0.189608i | −0.0496701 | + | 0.0180784i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.0701076 | − | 0.0588272i | 0.00662454 | − | 0.00555865i | ||||
\(113\) | 0.401674 | + | 2.27801i | 0.0377863 | + | 0.214297i | 0.997855 | − | 0.0654689i | \(-0.0208543\pi\) |
−0.960068 | + | 0.279766i | \(0.909743\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.43242 | + | 7.07564i | 0.786327 | + | 0.659807i | ||||
\(116\) | −4.11974 | + | 7.13559i | −0.382508 | + | 0.662523i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.25150 | − | 3.89971i | −0.207267 | − | 0.358997i | ||||
\(119\) | 1.13816 | − | 6.45480i | 0.104335 | − | 0.591711i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.3118 | + | 3.75319i | 0.937437 | + | 0.341199i | ||||
\(122\) | 3.12449 | + | 1.13722i | 0.282878 | + | 0.102959i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.10442 | − | 6.26347i | 0.0991797 | − | 0.562476i | ||||
\(125\) | 9.79473 | + | 16.9650i | 0.876067 | + | 1.51739i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0209445 | + | 0.0362770i | −0.00185853 | + | 0.00321906i | −0.866953 | − | 0.498390i | \(-0.833925\pi\) |
0.865095 | + | 0.501609i | \(0.167258\pi\) | |||||||
\(128\) | −5.24170 | − | 4.39831i | −0.463305 | − | 0.388759i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.42855 | − | 8.10170i | −0.125292 | − | 0.710566i | ||||
\(131\) | −14.0556 | + | 11.7940i | −1.22804 | + | 1.03045i | −0.229676 | + | 0.973267i | \(0.573767\pi\) |
−0.998364 | + | 0.0571807i | \(0.981789\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.38326 | − | 2.68729i | 0.640209 | − | 0.233017i | ||||
\(134\) | −5.15745 | −0.445536 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.51249 | 0.729940 | ||||||||
\(137\) | 13.4500 | − | 4.89538i | 1.14911 | − | 0.418241i | 0.303913 | − | 0.952700i | \(-0.401707\pi\) |
0.845195 | + | 0.534459i | \(0.179485\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.03983 | − | 6.74622i | 0.681929 | − | 0.572207i | −0.234640 | − | 0.972082i | \(-0.575391\pi\) |
0.916569 | + | 0.399876i | \(0.130947\pi\) | |||||||
\(140\) | −1.80541 | − | 10.2390i | −0.152585 | − | 0.865351i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.3191 | + | 8.65873i | 0.865958 | + | 0.726625i | ||||
\(143\) | 0.195937 | − | 0.339373i | 0.0163851 | − | 0.0283798i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.0287 | − | 22.5663i | −1.08197 | − | 1.87403i | ||||
\(146\) | 1.32547 | − | 7.51714i | 0.109697 | − | 0.622123i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.65183 | − | 2.78504i | −0.628976 | − | 0.228929i | ||||
\(149\) | −1.19459 | − | 0.434796i | −0.0978648 | − | 0.0356199i | 0.292624 | − | 0.956228i | \(-0.405472\pi\) |
−0.390489 | + | 0.920608i | \(0.627694\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.36437 | − | 7.73773i | 0.111031 | − | 0.629688i | −0.877608 | − | 0.479379i | \(-0.840862\pi\) |
0.988639 | − | 0.150309i | \(-0.0480268\pi\) | |||||||
\(152\) | 5.10220 | + | 8.83726i | 0.413843 | + | 0.716797i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.156107 | + | 0.270386i | −0.0125795 | + | 0.0217883i | ||||
\(155\) | 15.4081 | + | 12.9289i | 1.23761 | + | 1.03847i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.14496 | − | 12.1647i | −0.171187 | − | 0.970848i | −0.942454 | − | 0.334336i | \(-0.891488\pi\) |
0.771267 | − | 0.636512i | \(-0.219623\pi\) | |||||||
\(158\) | −0.854570 | + | 0.717070i | −0.0679860 | + | 0.0570470i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 20.5535 | − | 7.48086i | 1.62490 | − | 0.591414i | ||||
\(161\) | 6.19934 | 0.488576 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.7469 | −1.07674 | −0.538371 | − | 0.842708i | \(-0.680960\pi\) | ||||
−0.538371 | + | 0.842708i | \(0.680960\pi\) | |||||||
\(164\) | 6.68644 | − | 2.43367i | 0.522123 | − | 0.190037i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.70961 | − | 4.79093i | 0.443151 | − | 0.371848i | ||||
\(167\) | 0.645430 | + | 3.66041i | 0.0499448 | + | 0.283251i | 0.999543 | − | 0.0302175i | \(-0.00961999\pi\) |
−0.949598 | + | 0.313469i | \(0.898509\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.50387 | − | 4.61830i | −0.423375 | − | 0.355254i | ||||
\(170\) | −5.11721 | + | 8.86327i | −0.392472 | + | 0.679782i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.81908 | − | 6.61484i | −0.291202 | − | 0.504377i | ||||
\(173\) | 0.270792 | − | 1.53574i | 0.0205879 | − | 0.116760i | −0.972782 | − | 0.231723i | \(-0.925564\pi\) |
0.993370 | + | 0.114963i | \(0.0366749\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.6322 | + | 7.50952i | 1.55965 | + | 0.567666i | ||||
\(176\) | −0.00639661 | − | 0.00232818i | −0.000482163 | − | 0.000175493i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.17917 | + | 6.68739i | −0.0883823 | + | 0.501241i | ||||
\(179\) | −6.09627 | − | 10.5590i | −0.455656 | − | 0.789220i | 0.543069 | − | 0.839688i | \(-0.317262\pi\) |
−0.998726 | + | 0.0504679i | \(0.983929\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.43629 | − | 14.6121i | 0.627064 | − | 1.08611i | −0.361073 | − | 0.932537i | \(-0.617590\pi\) |
0.988138 | − | 0.153570i | \(-0.0490771\pi\) | |||||||
\(182\) | −3.54916 | − | 2.97810i | −0.263081 | − | 0.220752i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.39811 | + | 7.92907i | 0.103070 | + | 0.584538i | ||||
\(185\) | 19.7271 | − | 16.5530i | 1.45037 | − | 1.21700i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.458111 | + | 0.166739i | −0.0335004 | + | 0.0121931i | ||||
\(188\) | 9.07367 | 0.661766 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.2686 | −0.890056 | ||||||||
\(191\) | −16.4217 | + | 5.97702i | −1.18824 | + | 0.432482i | −0.859104 | − | 0.511802i | \(-0.828978\pi\) |
−0.329132 | + | 0.944284i | \(0.606756\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.52616 | + | 1.28060i | −0.109855 | + | 0.0921796i | −0.696061 | − | 0.717983i | \(-0.745066\pi\) |
0.586205 | + | 0.810162i | \(0.300621\pi\) | |||||||
\(194\) | −0.596571 | − | 3.38332i | −0.0428313 | − | 0.242909i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.09240 | + | 1.75573i | 0.149457 | + | 0.125409i | ||||
\(197\) | 10.5963 | − | 18.3533i | 0.754953 | − | 1.30762i | −0.190445 | − | 0.981698i | \(-0.560993\pi\) |
0.945398 | − | 0.325919i | \(-0.105674\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.54189 | + | 2.67063i | 0.109302 | + | 0.189316i | 0.915488 | − | 0.402346i | \(-0.131805\pi\) |
−0.806186 | + | 0.591662i | \(0.798472\pi\) | |||||||
\(200\) | −4.95171 | + | 28.0826i | −0.350139 | + | 1.98574i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.70486 | − | 2.44037i | −0.471752 | − | 0.171704i | ||||
\(203\) | −13.7900 | − | 5.01914i | −0.967867 | − | 0.352275i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.90760 | + | 22.1611i | −0.272919 | + | 1.54780i | ||||
\(206\) | −8.19846 | − | 14.2002i | −0.571214 | − | 0.989372i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0505072 | − | 0.0874810i | 0.00350204 | − | 0.00606572i | ||||
\(209\) | −0.447682 | − | 0.375650i | −0.0309668 | − | 0.0259842i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.174992 | + | 0.992431i | 0.0120470 | + | 0.0683218i | 0.990239 | − | 0.139383i | \(-0.0445118\pi\) |
−0.978192 | + | 0.207705i | \(0.933401\pi\) | |||||||
\(212\) | 1.31908 | − | 1.10684i | 0.0905946 | − | 0.0760179i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.27719 | − | 2.28471i | 0.429100 | − | 0.156180i | ||||
\(215\) | 24.1557 | 1.64740 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.3277 | 0.768974 | ||||||||
\(218\) | 12.9226 | − | 4.70345i | 0.875230 | − | 0.318558i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.592396 | + | 0.497079i | −0.0399393 | + | 0.0335131i | ||||
\(221\) | −1.25624 | − | 7.12452i | −0.0845041 | − | 0.479247i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.0064 | + | 11.7528i | 0.937938 | + | 0.787023i | 0.977225 | − | 0.212205i | \(-0.0680644\pi\) |
−0.0392875 | + | 0.999228i | \(0.512509\pi\) | |||||||
\(224\) | 6.15910 | − | 10.6679i | 0.411522 | − | 0.712777i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.01707 | − | 1.76162i | −0.0676548 | − | 0.117181i | ||||
\(227\) | 0.459293 | − | 2.60478i | 0.0304843 | − | 0.172885i | −0.965764 | − | 0.259421i | \(-0.916468\pi\) |
0.996249 | + | 0.0865353i | \(0.0275795\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.25402 | + | 1.18437i | 0.215032 | + | 0.0782652i | 0.447290 | − | 0.894389i | \(-0.352389\pi\) |
−0.232258 | + | 0.972654i | \(0.574611\pi\) | |||||||
\(230\) | −9.09627 | − | 3.31077i | −0.599790 | − | 0.218306i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.30958 | − | 18.7696i | 0.217285 | − | 1.23228i | ||||
\(233\) | 3.06283 | + | 5.30498i | 0.200653 | + | 0.347541i | 0.948739 | − | 0.316061i | \(-0.102360\pi\) |
−0.748086 | + | 0.663602i | \(0.769027\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.3478 | + | 24.8511i | −0.935945 | + | 1.62110i | ||||
\(236\) | −4.81180 | − | 4.03758i | −0.313222 | − | 0.262824i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.00088 | + | 5.67626i | 0.0648772 | + | 0.367937i | ||||
\(239\) | 22.1780 | − | 18.6095i | 1.43457 | − | 1.20375i | 0.491629 | − | 0.870805i | \(-0.336402\pi\) |
0.942946 | − | 0.332946i | \(-0.108043\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.9795 | + | 7.63592i | −1.35141 | + | 0.491873i | −0.913388 | − | 0.407091i | \(-0.866543\pi\) |
−0.438022 | + | 0.898964i | \(0.644321\pi\) | |||||||
\(242\) | −9.65002 | −0.620326 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.63816 | 0.296927 | ||||||||
\(245\) | −8.11721 | + | 2.95442i | −0.518590 | + | 0.188751i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.64337 | − | 5.57445i | 0.422708 | − | 0.354694i | ||||
\(248\) | 2.55468 | + | 14.4883i | 0.162222 | + | 0.920009i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −13.1964 | − | 11.0731i | −0.834614 | − | 0.700324i | ||||
\(251\) | −11.3610 | + | 19.6778i | −0.717098 | + | 1.24205i | 0.245047 | + | 0.969511i | \(0.421197\pi\) |
−0.962145 | + | 0.272539i | \(0.912137\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.230552 | − | 0.399328i | −0.0144947 | − | 0.0251055i | ||||
\(254\) | 0.00639661 | − | 0.0362770i | 0.000401359 | − | 0.00227622i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.1300 | + | 5.50687i | 0.945625 | + | 0.344179i | ||||
\(257\) | −18.4081 | − | 6.69999i | −1.14826 | − | 0.417934i | −0.303373 | − | 0.952872i | \(-0.598113\pi\) |
−0.844891 | + | 0.534938i | \(0.820335\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.51842 | − | 14.2827i | 0.156487 | − | 0.887481i | ||||
\(260\) | −5.73783 | − | 9.93821i | −0.355845 | − | 0.616341i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.06758 | − | 13.9735i | 0.498417 | − | 0.863283i | ||||
\(263\) | −13.6361 | − | 11.4420i | −0.840838 | − | 0.705547i | 0.116914 | − | 0.993142i | \(-0.462700\pi\) |
−0.957752 | + | 0.287595i | \(0.907144\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.945622 | + | 5.36289i | 0.0580891 | + | 0.329440i | ||||
\(266\) | −5.29292 | + | 4.44129i | −0.324530 | + | 0.272313i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.76042 | + | 2.46059i | −0.412958 | + | 0.150305i | ||||
\(269\) | −22.7888 | −1.38946 | −0.694729 | − | 0.719272i | \(-0.744476\pi\) | ||||
−0.694729 | + | 0.719272i | \(0.744476\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.44562 | −0.209307 | −0.104653 | − | 0.994509i | \(-0.533373\pi\) | ||||
−0.104653 | + | 0.994509i | \(0.533373\pi\) | |||||||
\(272\) | −0.118089 | + | 0.0429807i | −0.00716017 | + | 0.00260609i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −9.64203 | + | 8.09062i | −0.582496 | + | 0.488772i | ||||
\(275\) | −0.283585 | − | 1.60829i | −0.0171008 | − | 0.0969837i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.00206 | − | 1.67993i | −0.120292 | − | 0.100937i | 0.580657 | − | 0.814148i | \(-0.302796\pi\) |
−0.700949 | + | 0.713211i | \(0.747240\pi\) | |||||||
\(278\) | −4.61468 | + | 7.99287i | −0.276770 | + | 0.479380i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.0248 | + | 20.8276i | 0.718620 | + | 1.24469i | ||||
\(281\) | 2.37639 | − | 13.4772i | 0.141764 | − | 0.803982i | −0.828145 | − | 0.560514i | \(-0.810604\pi\) |
0.969909 | − | 0.243468i | \(-0.0782851\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.5005 | − | 7.82553i | −1.27807 | − | 0.465179i | −0.388277 | − | 0.921543i | \(-0.626929\pi\) |
−0.889793 | + | 0.456363i | \(0.849152\pi\) | |||||||
\(284\) | 17.6573 | + | 6.42675i | 1.04777 | + | 0.381357i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0598406 | + | 0.339373i | −0.00353845 | + | 0.0200675i | ||||
\(287\) | 6.33662 | + | 10.9753i | 0.374039 | + | 0.647854i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | 17.5535 | + | 14.7291i | 1.03078 | + | 0.864925i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.84895 | − | 10.4859i | −0.108201 | − | 0.613640i | ||||
\(293\) | −18.6006 | + | 15.6078i | −1.08666 | + | 0.911815i | −0.996457 | − | 0.0841084i | \(-0.973196\pi\) |
−0.0902023 | + | 0.995923i | \(0.528751\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.6668 | − | 6.79417i | 1.08683 | − | 0.395572i | ||||
\(296\) | 18.8357 | 1.09481 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.11793 | 0.0647597 | ||||||||
\(299\) | 6.42989 | − | 2.34029i | 0.371850 | − | 0.135342i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.4213 | − | 8.74449i | 0.600672 | − | 0.504024i | ||||
\(302\) | 1.19981 | + | 6.80445i | 0.0690412 | + | 0.391552i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.115400 | − | 0.0968323i | −0.00661865 | − | 0.00555371i | ||||
\(305\) | −7.33409 | + | 12.7030i | −0.419949 | + | 0.727373i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.07444 | + | 13.9853i | 0.460833 | + | 0.798186i | 0.999003 | − | 0.0446505i | \(-0.0142174\pi\) |
−0.538170 | + | 0.842836i | \(0.680884\pi\) | |||||||
\(308\) | −0.0756268 | + | 0.428901i | −0.00430924 | + | 0.0244389i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −16.6211 | − | 6.04958i | −0.944014 | − | 0.343593i | ||||
\(311\) | 17.5817 | + | 6.39922i | 0.996968 | + | 0.362867i | 0.788414 | − | 0.615144i | \(-0.210902\pi\) |
0.208553 | + | 0.978011i | \(0.433125\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.481582 | − | 2.73119i | 0.0272206 | − | 0.154376i | −0.968168 | − | 0.250302i | \(-0.919470\pi\) |
0.995388 | + | 0.0959261i | \(0.0305813\pi\) | |||||||
\(314\) | 5.43124 | + | 9.40718i | 0.306502 | + | 0.530878i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.778066 | + | 1.34765i | −0.0437696 | + | 0.0758112i | ||||
\(317\) | −13.3923 | − | 11.2375i | −0.752189 | − | 0.631161i | 0.183892 | − | 0.982946i | \(-0.441130\pi\) |
−0.936081 | + | 0.351785i | \(0.885575\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.189540 | + | 1.07494i | 0.0106122 | + | 0.0601849i | ||||
\(320\) | −14.9834 | + | 12.5726i | −0.837597 | + | 0.702827i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.12284 | + | 1.86456i | −0.285485 | + | 0.103908i | ||||
\(323\) | −10.7888 | −0.600305 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.2344 | 1.34428 | ||||||||
\(326\) | 11.3598 | − | 4.13462i | 0.629160 | − | 0.228996i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.6086 | + | 10.5799i | −0.696193 | + | 0.584175i | ||||
\(329\) | 2.80628 | + | 15.9152i | 0.154715 | + | 0.877435i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.8653 | − | 20.8645i | −1.36672 | − | 1.14681i | −0.973842 | − | 0.227224i | \(-0.927035\pi\) |
−0.392878 | − | 0.919590i | \(-0.628521\pi\) | |||||||
\(332\) | 5.19846 | − | 9.00400i | 0.285303 | − | 0.494159i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.63429 | − | 2.83067i | −0.0894241 | − | 0.154887i | ||||
\(335\) | 3.95084 | − | 22.4063i | 0.215857 | − | 1.22419i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.78611 | − | 2.83391i | −0.424137 | − | 0.154373i | 0.121128 | − | 0.992637i | \(-0.461349\pi\) |
−0.545265 | + | 0.838264i | \(0.683571\pi\) | |||||||
\(338\) | 5.93717 | + | 2.16095i | 0.322939 | + | 0.117540i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.47906 | + | 14.0594i | −0.134446 | + | 0.762479i | ||||
\(341\) | −0.421274 | − | 0.729669i | −0.0228133 | − | 0.0395138i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0792 | + | 17.4577i | −0.544225 | + | 0.942626i | ||||
\(344\) | 13.5346 | + | 11.3569i | 0.729738 | + | 0.612323i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.238131 | + | 1.35051i | 0.0128020 | + | 0.0726037i | ||||
\(347\) | −11.4624 | + | 9.61814i | −0.615336 | + | 0.516329i | −0.896334 | − | 0.443380i | \(-0.853779\pi\) |
0.280997 | + | 0.959709i | \(0.409335\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −31.6168 | + | 11.5076i | −1.69241 | + | 0.615986i | −0.994925 | − | 0.100615i | \(-0.967919\pi\) |
−0.697483 | + | 0.716601i | \(0.745697\pi\) | |||||||
\(350\) | −19.3081 | −1.03206 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.916222 | −0.0488348 | ||||||||
\(353\) | −14.8037 | + | 5.38809i | −0.787919 | + | 0.286779i | −0.704471 | − | 0.709733i | \(-0.748816\pi\) |
−0.0834482 | + | 0.996512i | \(0.526593\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −45.5223 | + | 38.1978i | −2.41608 | + | 2.02733i | ||||
\(356\) | 1.64486 | + | 9.32845i | 0.0871772 | + | 0.494407i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.21348 | + | 6.89193i | 0.434096 | + | 0.364250i | ||||
\(359\) | 9.06283 | − | 15.6973i | 0.478318 | − | 0.828471i | −0.521373 | − | 0.853329i | \(-0.674580\pi\) |
0.999691 | + | 0.0248577i | \(0.00791328\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.03343 | + | 5.25406i | 0.159654 | + | 0.276529i | ||||
\(362\) | −2.57650 | + | 14.6121i | −0.135418 | + | 0.767994i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.07310 | − | 2.21043i | −0.318317 | − | 0.115858i | ||||
\(365\) | 31.6425 | + | 11.5169i | 1.65624 | + | 0.602823i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.32413 | + | 18.8521i | −0.173518 | + | 0.984071i | 0.766322 | + | 0.642457i | \(0.222085\pi\) |
−0.939840 | + | 0.341614i | \(0.889026\pi\) | |||||||
\(368\) | −0.0594300 | − | 0.102936i | −0.00309800 | − | 0.00536590i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.3229 | + | 19.6119i | −0.588652 | + | 1.01958i | ||||
\(371\) | 2.34936 | + | 1.97134i | 0.121972 | + | 0.102347i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.64812 | − | 15.0182i | −0.137114 | − | 0.777614i | −0.973364 | − | 0.229265i | \(-0.926368\pi\) |
0.836250 | − | 0.548349i | \(-0.184743\pi\) | |||||||
\(374\) | 0.328411 | − | 0.275570i | 0.0169817 | − | 0.0142494i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −19.7230 | + | 7.17858i | −1.01713 | + | 0.370207i | ||||
\(377\) | −16.1976 | −0.834218 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.84760 | 0.505837 | 0.252919 | − | 0.967488i | \(-0.418610\pi\) | ||||
0.252919 | + | 0.967488i | \(0.418610\pi\) | |||||||
\(380\) | −16.0817 | + | 5.85327i | −0.824975 | + | 0.300266i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.7724 | − | 9.87825i | 0.602330 | − | 0.505415i | ||||
\(383\) | −4.92989 | − | 27.9588i | −0.251906 | − | 1.42863i | −0.803892 | − | 0.594775i | \(-0.797241\pi\) |
0.551986 | − | 0.833853i | \(-0.313870\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.05509 | − | 0.885328i | −0.0537725 | − | 0.0451205i | ||||
\(386\) | 0.875982 | − | 1.51724i | 0.0445863 | − | 0.0772257i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.39615 | − | 4.15026i | −0.121646 | − | 0.210698i | ||||
\(389\) | −1.89006 | + | 10.7191i | −0.0958300 | + | 0.543479i | 0.898660 | + | 0.438646i | \(0.144542\pi\) |
−0.994490 | + | 0.104833i | \(0.966569\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.99912 | − | 2.91144i | −0.404533 | − | 0.147238i | ||||
\(392\) | −5.93717 | − | 2.16095i | −0.299872 | − | 0.109145i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.23618 | + | 18.3533i | −0.163036 | + | 0.924624i | ||||
\(395\) | −2.46064 | − | 4.26195i | −0.123808 | − | 0.214442i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.05350 | − | 15.6811i | 0.454382 | − | 0.787013i | −0.544270 | − | 0.838910i | \(-0.683193\pi\) |
0.998652 | + | 0.0518969i | \(0.0165267\pi\) | |||||||
\(398\) | −2.07738 | − | 1.74313i | −0.104130 | − | 0.0873752i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0731006 | − | 0.414574i | −0.00365503 | − | 0.0207287i | ||||
\(401\) | −1.09833 | + | 0.921605i | −0.0548478 | + | 0.0460228i | −0.669799 | − | 0.742542i | \(-0.733620\pi\) |
0.614952 | + | 0.788565i | \(0.289176\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.7490 | − | 4.27628i | 0.585258 | − | 0.213016i | ||||
\(404\) | −9.95306 | −0.495183 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 12.9050 | 0.640463 | ||||||||
\(407\) | −1.01367 | + | 0.368946i | −0.0502458 | + | 0.0182880i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.59105 | − | 5.53055i | 0.325907 | − | 0.273468i | −0.465123 | − | 0.885246i | \(-0.653990\pi\) |
0.791029 | + | 0.611778i | \(0.209545\pi\) | |||||||
\(410\) | −3.43629 | − | 19.4882i | −0.169706 | − | 0.962452i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −17.5214 | − | 14.7022i | −0.863218 | − | 0.724326i | ||||
\(413\) | 5.59374 | − | 9.68864i | 0.275250 | − | 0.476747i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.4402 | + | 28.4752i | 0.807016 | + | 1.39779i | ||||
\(416\) | 2.36097 | − | 13.3897i | 0.115756 | − | 0.656484i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.482926 | + | 0.175771i | 0.0236207 | + | 0.00859722i | ||||
\(419\) | −11.5689 | − | 4.21074i | −0.565179 | − | 0.205708i | 0.0435988 | − | 0.999049i | \(-0.486118\pi\) |
−0.608778 | + | 0.793341i | \(0.708340\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.93036 | − | 10.9476i | 0.0940800 | − | 0.533554i | −0.900945 | − | 0.433932i | \(-0.857126\pi\) |
0.995025 | − | 0.0996216i | \(-0.0317632\pi\) | |||||||
\(422\) | −0.443096 | − | 0.767465i | −0.0215696 | − | 0.0373596i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.99154 | + | 3.44946i | −0.0967179 | + | 0.167520i | ||||
\(425\) | −23.0954 | − | 19.3793i | −1.12029 | − | 0.940036i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.43448 | + | 8.13533i | 0.0694193 | + | 0.393696i | ||||
\(428\) | 7.13816 | − | 5.98962i | 0.345036 | − | 0.289519i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.9611 | + | 7.26525i | −0.962610 | + | 0.350361i | ||||
\(431\) | 36.8958 | 1.77721 | 0.888604 | − | 0.458675i | \(-0.151676\pi\) | ||||
0.888604 | + | 0.458675i | \(0.151676\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −37.9982 | −1.82608 | −0.913040 | − | 0.407871i | \(-0.866271\pi\) | ||||
−0.913040 | + | 0.407871i | \(0.866271\pi\) | |||||||
\(434\) | −9.36066 | + | 3.40700i | −0.449326 | + | 0.163541i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.6951 | − | 12.3306i | 0.703766 | − | 0.590530i | ||||
\(437\) | −1.77197 | − | 10.0494i | −0.0847650 | − | 0.480726i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.154763 | + | 0.129862i | 0.00738644 | + | 0.00619796i | 0.646473 | − | 0.762937i | \(-0.276243\pi\) |
−0.639087 | + | 0.769135i | \(0.720688\pi\) | |||||||
\(440\) | 0.894400 | − | 1.54915i | 0.0426388 | − | 0.0738526i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.18092 | + | 5.50952i | 0.151301 | + | 0.262061i | ||||
\(443\) | −3.68644 | + | 20.9068i | −0.175148 | + | 0.993314i | 0.762825 | + | 0.646605i | \(0.223812\pi\) |
−0.937973 | + | 0.346709i | \(0.887299\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −28.1498 | − | 10.2457i | −1.33443 | − | 0.485692i | ||||
\(446\) | −15.1091 | − | 5.49925i | −0.715435 | − | 0.260397i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.91282 | + | 10.8481i | −0.0903722 | + | 0.512526i | ||||
\(449\) | −16.6297 | − | 28.8035i | −0.784804 | − | 1.35932i | −0.929116 | − | 0.369788i | \(-0.879430\pi\) |
0.144312 | − | 0.989532i | \(-0.453903\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.471315 | − | 0.816341i | 0.0221933 | − | 0.0384400i | ||||
\(452\) | −2.17365 | − | 1.82391i | −0.102240 | − | 0.0857894i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.403895 | + | 2.29061i | 0.0189558 | + | 0.107503i | ||||
\(455\) | 15.6570 | − | 13.1378i | 0.734013 | − | 0.615910i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.0320889 | − | 0.0116794i | 0.00150105 | − | 0.000546339i | −0.341270 | − | 0.939965i | \(-0.610857\pi\) |
0.342771 | + | 0.939419i | \(0.388635\pi\) | |||||||
\(458\) | −3.04519 | −0.142292 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.5030 | −0.629580 | ||||||||
\(461\) | −14.0826 | + | 5.12565i | −0.655892 | + | 0.238725i | −0.648462 | − | 0.761247i | \(-0.724587\pi\) |
−0.00743018 | + | 0.999972i | \(0.502365\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.3203 | + | 19.5680i | −1.08378 | + | 0.909403i | −0.996230 | − | 0.0867566i | \(-0.972350\pi\) |
−0.0875549 | + | 0.996160i | \(0.527905\pi\) | |||||||
\(464\) | 0.0488583 | + | 0.277089i | 0.00226819 | + | 0.0128635i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.12654 | − | 3.46258i | −0.191158 | − | 0.160401i | ||||
\(467\) | −0.255367 | + | 0.442308i | −0.0118170 | + | 0.0204676i | −0.871873 | − | 0.489731i | \(-0.837095\pi\) |
0.860056 | + | 0.510199i | \(0.170428\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.40673 | − | 11.0968i | −0.295835 | − | 0.512401i | ||||
\(470\) | 4.38191 | − | 24.8511i | 0.202123 | − | 1.14629i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.6535 | + | 4.96946i | 0.628452 | + | 0.228738i | ||||
\(473\) | −0.950837 | − | 0.346076i | −0.0437195 | − | 0.0159126i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.27584 | − | 35.5921i | 0.287955 | − | 1.63308i | ||||
\(476\) | 4.02007 | + | 6.96296i | 0.184259 | + | 0.319147i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.7297 | + | 22.0484i | −0.582242 | + | 1.00847i | ||||
\(479\) | 11.8359 | + | 9.93150i | 0.540796 | + | 0.453782i | 0.871810 | − | 0.489844i | \(-0.162946\pi\) |
−0.331014 | + | 0.943626i | \(0.607391\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.77972 | − | 15.7645i | −0.126744 | − | 0.718801i | ||||
\(482\) | 15.0398 | − | 12.6199i | 0.685045 | − | 0.574821i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.6493 | + | 4.60397i | −0.574968 | + | 0.209271i | ||||
\(485\) | 15.1557 | 0.688185 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.5107 | 1.33726 | 0.668629 | − | 0.743596i | \(-0.266881\pi\) | ||||
0.668629 | + | 0.743596i | \(0.266881\pi\) | |||||||
\(488\) | −10.0817 | + | 3.66945i | −0.456378 | + | 0.166108i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.81908 | − | 4.88279i | 0.262879 | − | 0.220582i | ||||
\(491\) | −0.374638 | − | 2.12467i | −0.0169072 | − | 0.0958852i | 0.975187 | − | 0.221385i | \(-0.0710577\pi\) |
−0.992094 | + | 0.125500i | \(0.959947\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.4363 | + | 12.9526i | 0.695215 | + | 0.583355i | ||||
\(494\) | −3.81315 | + | 6.60457i | −0.171562 | + | 0.297153i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.108593 | − | 0.188089i | −0.00487597 | − | 0.00844543i | ||||
\(497\) | −5.81150 | + | 32.9586i | −0.260681 | + | 1.47840i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.04323 | − | 2.56353i | −0.315298 | − | 0.114759i | 0.179523 | − | 0.983754i | \(-0.442544\pi\) |
−0.494822 | + | 0.868994i | \(0.664767\pi\) | |||||||
\(500\) | −22.5808 | − | 8.21875i | −1.00985 | − | 0.367554i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.46972 | − | 19.6778i | 0.154861 | − | 0.878262i | ||||
\(503\) | 14.2981 | + | 24.7651i | 0.637522 | + | 1.10422i | 0.985975 | + | 0.166894i | \(0.0533739\pi\) |
−0.348453 | + | 0.937326i | \(0.613293\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.7383 | − | 27.2595i | 0.700345 | − | 1.21303i | ||||
\(506\) | 0.310622 | + | 0.260643i | 0.0138088 | + | 0.0115870i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.00892283 | − | 0.0506039i | −0.000395887 | − | 0.00224518i | ||||
\(509\) | 1.29607 | − | 1.08754i | 0.0574475 | − | 0.0482041i | −0.613612 | − | 0.789608i | \(-0.710284\pi\) |
0.671059 | + | 0.741404i | \(0.265840\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.8204 | − | 6.48610i | 0.788329 | − | 0.286928i | ||||
\(512\) | −0.473897 | −0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.2267 | 0.759836 | ||||||||
\(515\) | 67.9723 | − | 24.7399i | 2.99522 | − | 1.09017i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.920807 | − | 0.772649i | 0.0404971 | − | 0.0339811i | ||||
\(518\) | 2.21466 | + | 12.5600i | 0.0973066 | + | 0.551853i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 20.3346 | + | 17.0627i | 0.891729 | + | 0.748250i | ||||
\(521\) | −11.2019 | + | 19.4022i | −0.490763 | + | 0.850026i | −0.999943 | − | 0.0106337i | \(-0.996615\pi\) |
0.509181 | + | 0.860660i | \(0.329948\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.21436 | − | 2.10332i | −0.0531000 | − | 0.0919720i | 0.838254 | − | 0.545281i | \(-0.183577\pi\) |
−0.891354 | + | 0.453309i | \(0.850244\pi\) | |||||||
\(524\) | 3.90838 | − | 22.1655i | 0.170738 | − | 0.968304i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.7096 | + | 5.35386i | 0.641369 | + | 0.233439i | ||||
\(527\) | −14.6163 | − | 5.31991i | −0.636698 | − | 0.231739i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.59580 | + | 14.7215i | −0.112861 | + | 0.640066i | ||||
\(530\) | −2.39440 | − | 4.14722i | −0.104006 | − | 0.180144i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.81908 | + | 8.34689i | −0.208934 | + | 0.361883i | ||||
\(533\) | 10.7155 | + | 8.99140i | 0.464141 | + | 0.389461i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.11721 | + | 29.0211i | 0.221236 | + | 1.25469i | ||||
\(536\) | 12.7481 | − | 10.6969i | 0.550634 | − | 0.462037i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.8316 | − | 6.85413i | 0.811886 | − | 0.295503i | ||||
\(539\) | 0.361844 | 0.0155857 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 38.9394 | 1.67414 | 0.837069 | − | 0.547098i | \(-0.184267\pi\) | ||||
0.837069 | + | 0.547098i | \(0.184267\pi\) | |||||||
\(542\) | 2.84730 | − | 1.03633i | 0.122302 | − | 0.0445142i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −12.9572 | + | 10.8724i | −0.555537 | + | 0.466151i | ||||
\(545\) | 10.5346 | + | 59.7448i | 0.451253 | + | 2.55918i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.2396 | − | 9.43118i | −0.480572 | − | 0.403248i | 0.370061 | − | 0.929007i | \(-0.379337\pi\) |
−0.850633 | + | 0.525759i | \(0.823781\pi\) | |||||||
\(548\) | −8.77884 | + | 15.2054i | −0.375013 | + | 0.649542i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.718063 | + | 1.24372i | 0.0306183 | + | 0.0530325i | ||||
\(551\) | −4.19459 | + | 23.7887i | −0.178696 | + | 1.01343i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.60442 | − | 0.947931i | −0.110751 | − | 0.0403101i | ||||
\(554\) | 2.15967 | + | 0.786057i | 0.0917557 | + | 0.0333963i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.23560 | + | 12.6787i | −0.0948107 | + | 0.537698i | ||||
\(557\) | −5.55350 | − | 9.61894i | −0.235309 | − | 0.407568i | 0.724053 | − | 0.689744i | \(-0.242277\pi\) |
−0.959363 | + | 0.282176i | \(0.908944\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.50774 | − | 13.0038i | 0.317544 | − | 0.550002i | ||||
\(560\) | −0.271974 | − | 0.228213i | −0.0114930 | − | 0.00964378i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.08976 | + | 11.8516i | 0.0881514 | + | 0.499931i | ||||
\(563\) | −12.4927 | + | 10.4826i | −0.526506 | + | 0.441791i | −0.866893 | − | 0.498495i | \(-0.833886\pi\) |
0.340387 | + | 0.940285i | \(0.389442\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.43242 | − | 3.06915i | 0.354755 | − | 0.129120i | ||||
\(566\) | 20.1206 | 0.845733 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −43.4653 | −1.82376 | ||||||||
\(569\) | 33.8444 | − | 12.3183i | 1.41883 | − | 0.516412i | 0.485121 | − | 0.874447i | \(-0.338775\pi\) |
0.933708 | + | 0.358035i | \(0.116553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.9971 | − | 25.1705i | 1.25534 | − | 1.05335i | 0.259176 | − | 0.965830i | \(-0.416549\pi\) |
0.996162 | − | 0.0875234i | \(-0.0278953\pi\) | |||||||
\(572\) | 0.0834734 | + | 0.473401i | 0.00349020 | + | 0.0197939i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.53730 | − | 7.16365i | −0.356340 | − | 0.299005i | ||||
\(575\) | 14.2579 | − | 24.6954i | 0.594595 | − | 1.02987i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.90286 | − | 10.2240i | −0.245739 | − | 0.425633i | 0.716600 | − | 0.697484i | \(-0.245697\pi\) |
−0.962339 | + | 0.271852i | \(0.912364\pi\) | |||||||
\(578\) | −1.22163 | + | 6.92820i | −0.0508131 | + | 0.288175i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 30.0364 | + | 10.9324i | 1.24719 | + | 0.453942i | ||||
\(581\) | 17.4008 | + | 6.33337i | 0.721907 | + | 0.262753i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.0396112 | − | 0.224647i | 0.00164053 | − | 0.00930391i | ||||
\(584\) | 12.3148 | + | 21.3299i | 0.509590 | + | 0.882636i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.6763 | − | 18.4920i | 0.441035 | − | 0.763896i | ||||
\(587\) | 30.6122 | + | 25.6867i | 1.26350 | + | 1.06020i | 0.995300 | + | 0.0968406i | \(0.0308737\pi\) |
0.268201 | + | 0.963363i | \(0.413571\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.23783 | − | 18.3626i | −0.133412 | − | 0.756619i | ||||
\(590\) | −13.3819 | + | 11.2288i | −0.550925 | + | 0.462281i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.261297 | + | 0.0951042i | −0.0107392 | + | 0.00390876i | ||||
\(593\) | 29.2995 | 1.20319 | 0.601594 | − | 0.798802i | \(-0.294533\pi\) | ||||
0.601594 | + | 0.798802i | \(0.294533\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −25.4270 | −1.04240 | ||||||||
\(596\) | 1.46538 | − | 0.533356i | 0.0600245 | − | 0.0218471i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.60947 | + | 3.86780i | −0.188495 | + | 0.158166i | ||||
\(599\) | −1.74897 | − | 9.91890i | −0.0714610 | − | 0.405275i | −0.999465 | − | 0.0327053i | \(-0.989588\pi\) |
0.928004 | − | 0.372570i | \(-0.121523\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.3025 | − | 19.5531i | −0.950528 | − | 0.797587i | 0.0288587 | − | 0.999584i | \(-0.490813\pi\) |
−0.979386 | + | 0.201996i | \(0.935257\pi\) | |||||||
\(602\) | −5.98158 | + | 10.3604i | −0.243791 | + | 0.422259i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.81908 | + | 8.34689i | 0.196085 | + | 0.339630i | ||||
\(605\) | 7.39234 | − | 41.9240i | 0.300541 | − | 1.70445i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.6827 | + | 7.89187i | 0.880075 | + | 0.320321i | 0.742240 | − | 0.670134i | \(-0.233763\pi\) |
0.137835 | + | 0.990455i | \(0.455986\pi\) | |||||||
\(608\) | −19.0535 | − | 6.93491i | −0.772721 | − | 0.281248i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.23989 | − | 12.7030i | 0.0906903 | − | 0.514330i | ||||
\(611\) | 8.91875 | + | 15.4477i | 0.360814 | + | 0.624948i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.382789 | + | 0.663010i | −0.0154607 | + | 0.0267787i | −0.873652 | − | 0.486551i | \(-0.838255\pi\) |
0.858192 | + | 0.513330i | \(0.171588\pi\) | |||||||
\(614\) | −10.8787 | − | 9.12829i | −0.439027 | − | 0.368388i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.174936 | − | 0.992112i | −0.00704837 | − | 0.0399733i | ||||
\(617\) | 7.11515 | − | 5.97032i | 0.286445 | − | 0.240356i | −0.488231 | − | 0.872715i | \(-0.662357\pi\) |
0.774676 | + | 0.632359i | \(0.217913\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 32.9666 | − | 11.9989i | 1.32504 | − | 0.482275i | 0.419970 | − | 0.907538i | \(-0.362040\pi\) |
0.905070 | + | 0.425263i | \(0.139818\pi\) | |||||||
\(620\) | −24.6732 | −0.990901 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −16.4534 | −0.659720 | ||||||||
\(623\) | −15.8534 | + | 5.77016i | −0.635153 | + | 0.231177i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.7233 | − | 16.5498i | 0.788931 | − | 0.661992i | ||||
\(626\) | 0.423496 | + | 2.40176i | 0.0169263 | + | 0.0959938i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 11.6074 | + | 9.73977i | 0.463186 | + | 0.388659i | ||||
\(629\) | −9.95723 | + | 17.2464i | −0.397021 | + | 0.687660i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.8810 | − | 30.9709i | −0.711833 | − | 1.23293i | −0.964168 | − | 0.265291i | \(-0.914532\pi\) |
0.252336 | − | 0.967640i | \(-0.418801\pi\) | |||||||
\(632\) | 0.625058 | − | 3.54488i | 0.0248635 | − | 0.141008i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.4467 | + | 5.25815i | 0.573750 | + | 0.208828i | ||||
\(635\) | 0.152704 | + | 0.0555796i | 0.00605986 | + | 0.00220561i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.932419 | + | 5.28801i | −0.0369438 | + | 0.209519i | ||||
\(638\) | −0.479933 | − | 0.831268i | −0.0190007 | − | 0.0329102i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.2724 | + | 22.9885i | −0.524639 | + | 0.908702i | ||||
\(641\) | −2.24170 | − | 1.88101i | −0.0885417 | − | 0.0742953i | 0.597442 | − | 0.801912i | \(-0.296184\pi\) |
−0.685984 | + | 0.727616i | \(0.740628\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.51666 | − | 19.9440i | −0.138684 | − | 0.786514i | −0.972223 | − | 0.234055i | \(-0.924801\pi\) |
0.833540 | − | 0.552459i | \(-0.186311\pi\) | |||||||
\(644\) | −5.82547 | + | 4.88815i | −0.229556 | + | 0.192620i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.91534 | − | 3.24492i | 0.350770 | − | 0.127670i | ||||
\(647\) | −10.7219 | −0.421523 | −0.210761 | − | 0.977538i | \(-0.567594\pi\) | ||||
−0.210761 | + | 0.977538i | \(0.567594\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.832119 | −0.0326635 | ||||||||
\(650\) | −20.0262 | + | 7.28893i | −0.785491 | + | 0.285895i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.9179 | − | 10.8394i | 0.505903 | − | 0.424503i | ||||
\(653\) | −6.20393 | − | 35.1842i | −0.242778 | − | 1.37686i | −0.825596 | − | 0.564262i | \(-0.809161\pi\) |
0.582818 | − | 0.812603i | \(-0.301950\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 54.5269 | + | 45.7535i | 2.13054 | + | 1.78774i | ||||
\(656\) | 0.121492 | − | 0.210430i | 0.00474347 | − | 0.00821593i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.10576 | − | 12.3075i | −0.277011 | − | 0.479798i | ||||
\(659\) | −5.35978 | + | 30.3969i | −0.208788 | + | 1.18409i | 0.682580 | + | 0.730811i | \(0.260858\pi\) |
−0.891367 | + | 0.453282i | \(0.850253\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.25402 | + | 3.36819i | 0.359940 | + | 0.131007i | 0.515659 | − | 0.856794i | \(-0.327547\pi\) |
−0.155719 | + | 0.987801i | \(0.549769\pi\) | |||||||
\(662\) | 26.8228 | + | 9.76272i | 1.04250 | + | 0.379439i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.17617 | + | 23.6843i | −0.162067 | + | 0.919128i | ||||
\(665\) | −15.2404 | − | 26.3971i | −0.590996 | − | 1.02363i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.52956 | + | 16.5057i | −0.368986 | + | 0.639103i | ||||
\(668\) | −3.49273 | − | 2.93075i | −0.135138 | − | 0.113394i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.47431 | + | 19.7038i | 0.134224 | + | 0.761223i | ||||
\(671\) | 0.470686 | − | 0.394952i | 0.0181706 | − | 0.0152470i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.5094 | − | 6.73687i | 0.713485 | − | 0.259687i | 0.0403273 | − | 0.999187i | \(-0.487160\pi\) |
0.673157 | + | 0.739499i | \(0.264938\pi\) | |||||||
\(674\) | 7.28642 | 0.280662 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.81345 | 0.338979 | ||||||||
\(677\) | −26.7408 | + | 9.73286i | −1.02773 | + | 0.374064i | −0.800217 | − | 0.599710i | \(-0.795283\pi\) |
−0.227516 | + | 0.973774i | \(0.573060\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.53849 | − | 5.48644i | 0.250924 | − | 0.210550i | ||||
\(680\) | −5.73442 | − | 32.5215i | −0.219905 | − | 1.24714i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.567581 | + | 0.476257i | 0.0217338 | + | 0.0182368i | ||||
\(683\) | 6.25537 | − | 10.8346i | 0.239355 | − | 0.414575i | −0.721174 | − | 0.692754i | \(-0.756397\pi\) |
0.960529 | + | 0.278179i | \(0.0897307\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −27.7631 | − | 48.0871i | −1.06077 | − | 1.83731i | ||||
\(686\) | 3.07826 | − | 17.4577i | 0.117528 | − | 0.666537i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.245100 | − | 0.0892091i | −0.00934435 | − | 0.00340106i | ||||
\(689\) | 3.18092 | + | 1.15776i | 0.121183 | + | 0.0441072i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.40184 | − | 41.9779i | 0.281579 | − | 1.59691i | −0.435676 | − | 0.900104i | \(-0.643491\pi\) |
0.717255 | − | 0.696811i | \(-0.245398\pi\) | |||||||
\(692\) | 0.956462 | + | 1.65664i | 0.0363592 | + | 0.0629760i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.57919 | − | 11.3955i | 0.249743 | − | 0.432567i | ||||
\(695\) | −31.1896 | − | 26.1712i | −1.18309 | − | 0.992729i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.02182 | − | 17.1376i | −0.114460 | − | 0.649133i | ||||
\(698\) | 22.6655 | − | 19.0186i | 0.857902 | − | 0.719865i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −25.3092 | + | 9.21179i | −0.956597 | + | 0.348173i | ||||
\(701\) | −51.7701 | −1.95533 | −0.977665 | − | 0.210167i | \(-0.932599\pi\) | ||||
−0.977665 | + | 0.210167i | \(0.932599\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.8726 | −0.900371 | ||||||||
\(704\) | 0.769915 | − | 0.280226i | 0.0290173 | − | 0.0105614i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.6125 | − | 8.90491i | 0.399405 | − | 0.335141i | ||||
\(707\) | −3.07826 | − | 17.4577i | −0.115770 | − | 0.656563i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.6120 | + | 9.74362i | 0.436098 | + | 0.365929i | 0.834247 | − | 0.551391i | \(-0.185903\pi\) |
−0.398149 | + | 0.917321i | \(0.630347\pi\) | |||||||
\(710\) | 26.1288 | − | 45.2564i | 0.980597 | − | 1.69844i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.9555 | − | 18.9754i | −0.410574 | − | 0.711135i | ||||
\(713\) | 2.55468 | − | 14.4883i | 0.0956736 | − | 0.542592i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.42855 | − | 0.519949i | −0.0534247 | − | 0.0194450i | ||||
\(716\) | 14.0544 | + | 5.11538i | 0.525237 | + | 0.191171i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.76786 | + | 15.6973i | −0.103295 | + | 0.585818i | ||||
\(719\) | −1.30747 | − | 2.26460i | −0.0487603 | − | 0.0844553i | 0.840615 | − | 0.541633i | \(-0.182194\pi\) |
−0.889375 | + | 0.457178i | \(0.848860\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.3687 | − | 35.2796i | 0.758570 | − | 1.31388i | ||||
\(722\) | −4.08693 | − | 3.42934i | −0.152100 | − | 0.127627i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.59405 | + | 20.3828i | 0.133572 | + | 0.757522i | ||||
\(725\) | −51.7097 | + | 43.3896i | −1.92045 | + | 1.61145i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.85204 | − | 1.40203i | 0.142864 | − | 0.0519984i | −0.269598 | − | 0.962973i | \(-0.586891\pi\) |
0.412463 | + | 0.910974i | \(0.364669\pi\) | |||||||
\(728\) | 14.9495 | 0.554067 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −29.6117 | −1.09598 | ||||||||
\(731\) | −17.5535 | + | 6.38895i | −0.649240 | + | 0.236304i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −29.2690 | + | 24.5596i | −1.08108 | + | 0.907131i | −0.996010 | − | 0.0892443i | \(-0.971555\pi\) |
−0.0850668 | + | 0.996375i | \(0.527110\pi\) | |||||||
\(734\) | −2.92319 | − | 16.5782i | −0.107897 | − | 0.611914i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −12.2554 | − | 10.2835i | −0.451739 | − | 0.379054i | ||||
\(737\) | −0.476529 | + | 0.825373i | −0.0175532 | + | 0.0304030i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.1047 | + | 20.9660i | 0.445279 | + | 0.771247i | 0.998072 | − | 0.0620725i | \(-0.0197710\pi\) |
−0.552792 | + | 0.833319i | \(0.686438\pi\) | |||||||
\(740\) | −5.48545 | + | 31.1095i | −0.201649 | + | 1.14361i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.53431 | − | 0.922414i | −0.0930375 | − | 0.0338629i | ||||
\(743\) | −3.11169 | − | 1.13256i | −0.114157 | − | 0.0415497i | 0.284310 | − | 0.958732i | \(-0.408235\pi\) |
−0.398467 | + | 0.917183i | \(0.630458\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.856381 | + | 4.85678i | −0.0313754 | + | 0.177939i | ||||
\(746\) | 6.70527 | + | 11.6139i | 0.245497 | + | 0.425214i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.299011 | − | 0.517902i | 0.0109329 | − | 0.0189364i | ||||
\(749\) | 12.7135 | + | 10.6679i | 0.464540 | + | 0.389796i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.38089 | + | 13.5027i | 0.0868800 | + | 0.492721i | 0.996935 | + | 0.0782335i | \(0.0249280\pi\) |
−0.910055 | + | 0.414487i | \(0.863961\pi\) | |||||||
\(752\) | 0.237359 | − | 0.199168i | 0.00865560 | − | 0.00726291i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 13.3849 | − | 4.87171i | 0.487449 | − | 0.177417i | ||||
\(755\) | −30.4807 | −1.10931 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.3833 | 0.450079 | 0.225040 | − | 0.974350i | \(-0.427749\pi\) | ||||
0.225040 | + | 0.974350i | \(0.427749\pi\) | |||||||
\(758\) | −8.13758 | + | 2.96184i | −0.295570 | + | 0.107579i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.3252 | − | 25.4459i | 1.10001 | − | 0.923019i | ||||
\(761\) | −1.31671 | − | 7.46745i | −0.0477308 | − | 0.270695i | 0.951597 | − | 0.307348i | \(-0.0994415\pi\) |
−0.999328 | + | 0.0366529i | \(0.988330\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.1728 | + | 21.9616i | 0.947518 | + | 0.795062i | ||||
\(764\) | 10.7185 | − | 18.5650i | 0.387783 | − | 0.671660i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.4829 | + | 21.6211i | 0.451026 | + | 0.781201i | ||||
\(767\) | 2.14425 | − | 12.1606i | 0.0774243 | − | 0.439095i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.02317 | − | 1.10034i | −0.109018 | − | 0.0396794i | 0.286935 | − | 0.957950i | \(-0.407364\pi\) |
−0.395953 | + | 0.918271i | \(0.629586\pi\) | |||||||
\(770\) | 1.13816 | + | 0.414255i | 0.0410163 | + | 0.0149287i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.424373 | − | 2.40674i | 0.0152735 | − | 0.0866205i | ||||
\(773\) | −0.0922341 | − | 0.159754i | −0.00331743 | − | 0.00574596i | 0.864362 | − | 0.502870i | \(-0.167723\pi\) |
−0.867679 | + | 0.497124i | \(0.834389\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 26.0526 | − | 45.1245i | 0.935838 | − | 1.62092i | ||||
\(776\) | 8.49185 | + | 7.12551i | 0.304840 | + | 0.255791i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.66209 | − | 9.42620i | −0.0595889 |