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: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 82.1 | ||
Root | \(-1.22778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.82 |
Dual form | 729.2.e.t.649.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.274087 | − | 1.55442i | −0.193809 | − | 1.09914i | −0.914105 | − | 0.405478i | \(-0.867105\pi\) |
0.720296 | − | 0.693667i | \(-0.244006\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.461727 | + | 0.168055i | −0.230864 | + | 0.0840275i | ||||
\(5\) | 1.28581 | + | 1.07892i | 0.575032 | + | 0.482509i | 0.883311 | − | 0.468787i | \(-0.155309\pi\) |
−0.308279 | + | 0.951296i | \(0.599753\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.61167 | − | 0.950570i | −0.987119 | − | 0.359282i | −0.202515 | − | 0.979279i | \(-0.564911\pi\) |
−0.784604 | + | 0.619997i | \(0.787134\pi\) | |||||||
\(8\) | −1.19062 | − | 2.06222i | −0.420948 | − | 0.729104i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32468 | − | 2.29442i | 0.418901 | − | 0.725558i | ||||
\(11\) | −3.18002 | + | 2.66835i | −0.958812 | + | 0.804539i | −0.980759 | − | 0.195220i | \(-0.937458\pi\) |
0.0219472 | + | 0.999759i | \(0.493013\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.19401 | − | 6.77158i | 0.331160 | − | 1.87810i | −0.131123 | − | 0.991366i | \(-0.541858\pi\) |
0.462282 | − | 0.886733i | \(-0.347031\pi\) | |||||||
\(14\) | −0.761765 | + | 4.32018i | −0.203590 | + | 1.15462i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.63204 | + | 3.04764i | −0.908009 | + | 0.761910i | ||||
\(17\) | −0.488276 | + | 0.845718i | −0.118424 | + | 0.205117i | −0.919143 | − | 0.393923i | \(-0.871118\pi\) |
0.800719 | + | 0.599040i | \(0.204451\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.34264 | − | 2.32553i | −0.308024 | − | 0.533513i | 0.669906 | − | 0.742446i | \(-0.266334\pi\) |
−0.977930 | + | 0.208933i | \(0.933001\pi\) | |||||||
\(20\) | −0.775013 | − | 0.282082i | −0.173298 | − | 0.0630754i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.01936 | + | 4.21174i | 1.07013 | + | 0.897946i | ||||
\(23\) | −1.51588 | + | 0.551737i | −0.316084 | + | 0.115045i | −0.495190 | − | 0.868785i | \(-0.664902\pi\) |
0.179106 | + | 0.983830i | \(0.442679\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.379007 | − | 2.14945i | −0.0758013 | − | 0.429891i | ||||
\(26\) | −10.8532 | −2.12848 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.36563 | 0.258079 | ||||||||
\(29\) | −1.42876 | − | 8.10288i | −0.265313 | − | 1.50467i | −0.768142 | − | 0.640280i | \(-0.778818\pi\) |
0.502828 | − | 0.864386i | \(-0.332293\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.981104 | + | 0.357093i | −0.176212 | + | 0.0641357i | −0.428619 | − | 0.903485i | \(-0.641000\pi\) |
0.252408 | + | 0.967621i | \(0.418778\pi\) | |||||||
\(32\) | 2.08454 | + | 1.74914i | 0.368498 | + | 0.309207i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.44844 | + | 0.527187i | 0.248405 | + | 0.0904119i | ||||
\(35\) | −2.33252 | − | 4.04005i | −0.394268 | − | 0.682893i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.654172 | − | 1.13306i | 0.107545 | − | 0.186274i | −0.807230 | − | 0.590237i | \(-0.799034\pi\) |
0.914775 | + | 0.403963i | \(0.132368\pi\) | |||||||
\(38\) | −3.24686 | + | 2.72444i | −0.526710 | + | 0.441962i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.694061 | − | 3.93621i | 0.109741 | − | 0.622370i | ||||
\(41\) | −0.841876 | + | 4.77452i | −0.131479 | + | 0.745654i | 0.845768 | + | 0.533550i | \(0.179143\pi\) |
−0.977247 | + | 0.212104i | \(0.931969\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.53805 | − | 6.32518i | 1.14954 | − | 0.964580i | 0.149833 | − | 0.988711i | \(-0.452126\pi\) |
0.999709 | + | 0.0241308i | \(0.00768182\pi\) | |||||||
\(44\) | 1.01987 | − | 1.76647i | 0.153751 | − | 0.266305i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.27312 | + | 2.20510i | 0.187711 | + | 0.325125i | ||||
\(47\) | −11.7440 | − | 4.27447i | −1.71304 | − | 0.623495i | −0.715837 | − | 0.698267i | \(-0.753955\pi\) |
−0.997201 | + | 0.0747722i | \(0.976177\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.554929 | + | 0.465640i | 0.0792755 | + | 0.0665201i | ||||
\(50\) | −3.23728 | + | 1.17827i | −0.457821 | + | 0.166633i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.586690 | + | 3.32728i | 0.0813593 | + | 0.461411i | ||||
\(53\) | 7.34280 | 1.00861 | 0.504305 | − | 0.863525i | \(-0.331749\pi\) | ||||
0.504305 | + | 0.863525i | \(0.331749\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.96786 | −0.939546 | ||||||||
\(56\) | 1.14923 | + | 6.51760i | 0.153572 | + | 0.870951i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −12.2037 | + | 4.44179i | −1.60243 | + | 0.583235i | ||||
\(59\) | 6.93414 | + | 5.81843i | 0.902748 | + | 0.757496i | 0.970726 | − | 0.240191i | \(-0.0772102\pi\) |
−0.0679775 | + | 0.997687i | \(0.521655\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.20820 | + | 0.439750i | 0.154694 | + | 0.0563042i | 0.418207 | − | 0.908352i | \(-0.362659\pi\) |
−0.263512 | + | 0.964656i | \(0.584881\pi\) | |||||||
\(62\) | 0.823982 | + | 1.42718i | 0.104646 | + | 0.181252i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.59373 | + | 4.49247i | −0.324216 | + | 0.561558i | ||||
\(65\) | 8.84130 | − | 7.41873i | 1.09663 | − | 0.920180i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.806821 | + | 4.57571i | −0.0985689 | + | 0.559012i | 0.895026 | + | 0.446014i | \(0.147157\pi\) |
−0.993595 | + | 0.112999i | \(0.963954\pi\) | |||||||
\(68\) | 0.0833230 | − | 0.472548i | 0.0101044 | − | 0.0573049i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.64064 | + | 4.73306i | −0.674185 | + | 0.565708i | ||||
\(71\) | −2.81187 | + | 4.87030i | −0.333707 | + | 0.577998i | −0.983236 | − | 0.182339i | \(-0.941633\pi\) |
0.649528 | + | 0.760337i | \(0.274966\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.28072 | + | 3.95033i | 0.266938 | + | 0.462351i | 0.968070 | − | 0.250681i | \(-0.0806547\pi\) |
−0.701131 | + | 0.713032i | \(0.747321\pi\) | |||||||
\(74\) | −1.94056 | − | 0.706305i | −0.225585 | − | 0.0821062i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.01075 | + | 0.848122i | 0.115941 | + | 0.0972862i | ||||
\(77\) | 10.8416 | − | 3.94603i | 1.23552 | − | 0.449692i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.808645 | + | 4.58605i | 0.0909797 | + | 0.515971i | 0.995905 | + | 0.0904018i | \(0.0288151\pi\) |
−0.904926 | + | 0.425570i | \(0.860074\pi\) | |||||||
\(80\) | −7.95828 | −0.889763 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.65237 | 0.845063 | ||||||||
\(83\) | 1.00098 | + | 5.67682i | 0.109871 | + | 0.623112i | 0.989162 | + | 0.146827i | \(0.0469059\pi\) |
−0.879291 | + | 0.476285i | \(0.841983\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.54030 | + | 0.560622i | −0.167069 | + | 0.0608080i | ||||
\(86\) | −11.8981 | − | 9.98369i | −1.28300 | − | 1.07657i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.28893 | + | 3.38089i | 0.990203 | + | 0.360405i | ||||
\(89\) | −2.27221 | − | 3.93558i | −0.240854 | − | 0.417171i | 0.720104 | − | 0.693866i | \(-0.244094\pi\) |
−0.960958 | + | 0.276695i | \(0.910761\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.55523 | + | 16.5502i | −1.00166 | + | 1.73493i | ||||
\(92\) | 0.607203 | − | 0.509504i | 0.0633053 | − | 0.0531194i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.42546 | + | 19.4267i | −0.353309 | + | 2.00371i | ||||
\(95\) | 0.782681 | − | 4.43880i | 0.0803013 | − | 0.455411i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.56917 | − | 5.51219i | 0.666998 | − | 0.559678i | −0.245177 | − | 0.969478i | \(-0.578846\pi\) |
0.912175 | + | 0.409800i | \(0.134402\pi\) | |||||||
\(98\) | 0.571704 | − | 0.990221i | 0.0577508 | − | 0.100027i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.536224 | + | 0.928767i | 0.0536224 | + | 0.0928767i | ||||
\(101\) | 7.33496 | + | 2.66971i | 0.729856 | + | 0.265646i | 0.680104 | − | 0.733116i | \(-0.261935\pi\) |
0.0497521 | + | 0.998762i | \(0.484157\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.65937 | − | 1.39237i | −0.163502 | − | 0.137195i | 0.557366 | − | 0.830267i | \(-0.311812\pi\) |
−0.720868 | + | 0.693073i | \(0.756257\pi\) | |||||||
\(104\) | −15.3861 | + | 5.60008i | −1.50873 | + | 0.549133i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.01257 | − | 11.4138i | −0.195478 | − | 1.10861i | ||||
\(107\) | 12.5849 | 1.21663 | 0.608317 | − | 0.793695i | \(-0.291845\pi\) | ||||
0.608317 | + | 0.793695i | \(0.291845\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2140 | −1.16989 | −0.584945 | − | 0.811073i | \(-0.698884\pi\) | ||||
−0.584945 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(110\) | 1.90980 | + | 10.8310i | 0.182092 | + | 1.03270i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.3827 | − | 4.50693i | 1.17005 | − | 0.425864i | ||||
\(113\) | 0.345358 | + | 0.289790i | 0.0324886 | + | 0.0272611i | 0.658887 | − | 0.752242i | \(-0.271027\pi\) |
−0.626399 | + | 0.779503i | \(0.715472\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.54442 | − | 0.926094i | −0.237269 | − | 0.0863587i | ||||
\(116\) | 2.02142 | + | 3.50121i | 0.187685 | + | 0.325079i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.14376 | − | 12.3734i | 0.657636 | − | 1.13906i | ||||
\(119\) | 2.07913 | − | 1.74460i | 0.190594 | − | 0.159927i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.08229 | − | 6.13796i | 0.0983898 | − | 0.557996i | ||||
\(122\) | 0.352405 | − | 1.99859i | 0.0319053 | − | 0.180944i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.392991 | − | 0.329759i | 0.0352917 | − | 0.0296132i | ||||
\(125\) | 6.02803 | − | 10.4409i | 0.539164 | − | 0.933859i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.265534 | + | 0.459919i | 0.0235624 | + | 0.0408112i | 0.877566 | − | 0.479456i | \(-0.159166\pi\) |
−0.854004 | + | 0.520267i | \(0.825833\pi\) | |||||||
\(128\) | 12.8082 | + | 4.66182i | 1.13210 | + | 0.412051i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −13.9551 | − | 11.7098i | −1.22395 | − | 1.02701i | ||||
\(131\) | 10.7276 | − | 3.90451i | 0.937272 | − | 0.341139i | 0.172184 | − | 0.985065i | \(-0.444918\pi\) |
0.765088 | + | 0.643926i | \(0.222695\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.29597 | + | 7.34979i | 0.112375 | + | 0.637308i | ||||
\(134\) | 7.33374 | 0.633539 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.32541 | 0.199402 | ||||||||
\(137\) | −0.734400 | − | 4.16499i | −0.0627440 | − | 0.355839i | −0.999975 | − | 0.00712879i | \(-0.997731\pi\) |
0.937231 | − | 0.348710i | \(-0.113380\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.4828 | − | 3.81542i | 0.889137 | − | 0.323619i | 0.143246 | − | 0.989687i | \(-0.454246\pi\) |
0.745891 | + | 0.666068i | \(0.232024\pi\) | |||||||
\(140\) | 1.75594 | + | 1.47341i | 0.148404 | + | 0.124526i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.34121 | + | 3.03595i | 0.699978 | + | 0.254771i | ||||
\(143\) | 14.2720 | + | 24.7198i | 1.19348 | + | 2.06718i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.90528 | − | 11.9603i | 0.573452 | − | 0.993248i | ||||
\(146\) | 5.51537 | − | 4.62794i | 0.456455 | − | 0.383011i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.111633 | + | 0.633101i | −0.00917616 | + | 0.0520406i | ||||
\(149\) | 3.38227 | − | 19.1818i | 0.277086 | − | 1.57143i | −0.455171 | − | 0.890404i | \(-0.650422\pi\) |
0.732257 | − | 0.681029i | \(-0.238467\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.952086 | + | 0.798895i | −0.0774797 | + | 0.0650131i | −0.680705 | − | 0.732558i | \(-0.738326\pi\) |
0.603225 | + | 0.797571i | \(0.293882\pi\) | |||||||
\(152\) | −3.19716 | + | 5.53765i | −0.259324 | + | 0.449163i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.10535 | − | 15.7709i | −0.733730 | − | 1.27086i | ||||
\(155\) | −1.64679 | − | 0.599383i | −0.132273 | − | 0.0481436i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.70654 | − | 2.27106i | −0.216006 | − | 0.181250i | 0.528364 | − | 0.849018i | \(-0.322806\pi\) |
−0.744370 | + | 0.667768i | \(0.767250\pi\) | |||||||
\(158\) | 6.90704 | − | 2.51396i | 0.549494 | − | 0.200000i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.793141 | + | 4.49812i | 0.0627033 | + | 0.355608i | ||||
\(161\) | 4.48345 | 0.353346 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.9509 | 1.24937 | 0.624685 | − | 0.780877i | \(-0.285228\pi\) | ||||
0.624685 | + | 0.780877i | \(0.285228\pi\) | |||||||
\(164\) | −0.413664 | − | 2.34601i | −0.0323017 | − | 0.183192i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.54983 | − | 3.11188i | 0.663596 | − | 0.241529i | ||||
\(167\) | −11.0959 | − | 9.31055i | −0.858625 | − | 0.720472i | 0.103046 | − | 0.994677i | \(-0.467141\pi\) |
−0.961671 | + | 0.274205i | \(0.911585\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −32.2127 | − | 11.7244i | −2.47790 | − | 0.901881i | ||||
\(170\) | 1.29362 | + | 2.24061i | 0.0992161 | + | 0.171847i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.41755 | + | 4.18731i | −0.184336 | + | 0.319280i | ||||
\(173\) | −9.66549 | + | 8.11031i | −0.734853 | + | 0.616615i | −0.931450 | − | 0.363869i | \(-0.881455\pi\) |
0.196597 | + | 0.980484i | \(0.437011\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.05337 | + | 5.97394i | −0.0796270 | + | 0.451587i | ||||
\(176\) | 3.41777 | − | 19.3831i | 0.257624 | − | 1.46106i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.49478 | + | 4.61067i | −0.411851 | + | 0.345584i | ||||
\(179\) | 0.147949 | − | 0.256256i | 0.0110582 | − | 0.0191534i | −0.860443 | − | 0.509546i | \(-0.829813\pi\) |
0.871502 | + | 0.490393i | \(0.163147\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.710251 | − | 1.23019i | −0.0527925 | − | 0.0914393i | 0.838421 | − | 0.545022i | \(-0.183479\pi\) |
−0.891214 | + | 0.453583i | \(0.850146\pi\) | |||||||
\(182\) | 28.3449 | + | 10.3167i | 2.10107 | + | 0.764725i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.94265 | + | 2.46917i | 0.216935 | + | 0.182030i | ||||
\(185\) | 2.06363 | − | 0.751099i | 0.151721 | − | 0.0552219i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.703949 | − | 3.99229i | −0.0514779 | − | 0.291945i | ||||
\(188\) | 6.14087 | 0.447869 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.11431 | −0.516126 | ||||||||
\(191\) | −3.58133 | − | 20.3108i | −0.259136 | − | 1.46963i | −0.785228 | − | 0.619207i | \(-0.787454\pi\) |
0.526091 | − | 0.850428i | \(-0.323657\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.6921 | − | 7.16735i | 1.41747 | − | 0.515917i | 0.484158 | − | 0.874981i | \(-0.339126\pi\) |
0.933313 | + | 0.359063i | \(0.116904\pi\) | |||||||
\(194\) | −10.3688 | − | 8.70046i | −0.744437 | − | 0.624657i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.334479 | − | 0.121740i | −0.0238913 | − | 0.00869574i | ||||
\(197\) | −4.79810 | − | 8.31056i | −0.341851 | − | 0.592103i | 0.642926 | − | 0.765929i | \(-0.277720\pi\) |
−0.984776 | + | 0.173826i | \(0.944387\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.34583 | − | 9.25925i | 0.378956 | − | 0.656371i | −0.611955 | − | 0.790893i | \(-0.709616\pi\) |
0.990911 | + | 0.134522i | \(0.0429498\pi\) | |||||||
\(200\) | −3.98139 | + | 3.34078i | −0.281527 | + | 0.236229i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.13944 | − | 12.1334i | 0.150531 | − | 0.853701i | ||||
\(203\) | −3.97092 | + | 22.5202i | −0.278704 | + | 1.58061i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.23383 | + | 5.23081i | −0.435390 | + | 0.365335i | ||||
\(206\) | −1.70953 | + | 2.96099i | −0.119108 | + | 0.206302i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.3006 | + | 28.2335i | 1.13025 | + | 1.95764i | ||||
\(209\) | 10.4750 | + | 3.81258i | 0.724569 | + | 0.263722i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.5292 | − | 9.67411i | −0.793700 | − | 0.665993i | 0.152959 | − | 0.988233i | \(-0.451120\pi\) |
−0.946658 | + | 0.322240i | \(0.895564\pi\) | |||||||
\(212\) | −3.39037 | + | 1.23399i | −0.232851 | + | 0.0847510i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.44937 | − | 19.5624i | −0.235794 | − | 1.33726i | ||||
\(215\) | 16.5169 | 1.12644 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.90176 | 0.196984 | ||||||||
\(218\) | 3.34770 | + | 18.9857i | 0.226735 | + | 1.28588i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.21725 | − | 1.17098i | 0.216907 | − | 0.0789477i | ||||
\(221\) | 5.14384 | + | 4.31620i | 0.346012 | + | 0.290339i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.5470 | + | 4.20278i | 0.773247 | + | 0.281439i | 0.698354 | − | 0.715753i | \(-0.253916\pi\) |
0.0748934 | + | 0.997192i | \(0.476138\pi\) | |||||||
\(224\) | −3.78146 | − | 6.54968i | −0.252659 | − | 0.437619i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.355798 | − | 0.616261i | 0.0236674 | − | 0.0409931i | ||||
\(227\) | −2.87463 | + | 2.41210i | −0.190796 | + | 0.160097i | −0.733182 | − | 0.680033i | \(-0.761966\pi\) |
0.542386 | + | 0.840129i | \(0.317521\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.23028 | + | 18.3198i | −0.213463 | + | 1.21061i | 0.670092 | + | 0.742278i | \(0.266255\pi\) |
−0.883554 | + | 0.468329i | \(0.844856\pi\) | |||||||
\(230\) | −0.742150 | + | 4.20894i | −0.0489359 | + | 0.277529i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −15.0088 | + | 12.5939i | −0.985375 | + | 0.826828i | ||||
\(233\) | 0.272892 | − | 0.472663i | 0.0178777 | − | 0.0309652i | −0.856948 | − | 0.515403i | \(-0.827642\pi\) |
0.874826 | + | 0.484438i | \(0.160976\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.4887 | − | 18.1670i | −0.684210 | − | 1.18509i | ||||
\(236\) | −4.17950 | − | 1.52121i | −0.272062 | − | 0.0990225i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.28171 | − | 2.75368i | −0.212721 | − | 0.178495i | ||||
\(239\) | −18.8829 | + | 6.87281i | −1.22143 | + | 0.444565i | −0.870655 | − | 0.491894i | \(-0.836305\pi\) |
−0.350777 | + | 0.936459i | \(0.614083\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.65531 | + | 15.0590i | 0.171043 | + | 0.970035i | 0.942612 | + | 0.333889i | \(0.108361\pi\) |
−0.771569 | + | 0.636146i | \(0.780528\pi\) | |||||||
\(242\) | −9.83763 | −0.632387 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.631762 | −0.0404444 | ||||||||
\(245\) | 0.211143 | + | 1.19745i | 0.0134894 | + | 0.0765024i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.3506 | + | 6.31512i | −1.10399 | + | 0.401821i | ||||
\(248\) | 1.90453 | + | 1.59809i | 0.120938 | + | 0.101479i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −17.8817 | − | 6.50842i | −1.13094 | − | 0.411629i | ||||
\(251\) | 6.37816 | + | 11.0473i | 0.402586 | + | 0.697299i | 0.994037 | − | 0.109042i | \(-0.0347782\pi\) |
−0.591451 | + | 0.806341i | \(0.701445\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.34831 | − | 5.79945i | 0.210507 | − | 0.364608i | ||||
\(254\) | 0.642130 | − | 0.538811i | 0.0402908 | − | 0.0338080i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.93429 | − | 10.9699i | 0.120893 | − | 0.685619i | ||||
\(257\) | 2.27561 | − | 12.9056i | 0.141949 | − | 0.805030i | −0.827818 | − | 0.560996i | \(-0.810418\pi\) |
0.969767 | − | 0.244034i | \(-0.0784708\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.78554 | + | 2.33734i | −0.173085 | + | 0.145235i | ||||
\(260\) | −2.83551 | + | 4.91125i | −0.175851 | + | 0.304583i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.00956 | − | 15.6050i | −0.556613 | − | 0.964081i | ||||
\(263\) | −8.94040 | − | 3.25404i | −0.551289 | − | 0.200653i | 0.0513303 | − | 0.998682i | \(-0.483654\pi\) |
−0.602619 | + | 0.798029i | \(0.705876\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.44145 | + | 7.92232i | 0.579984 | + | 0.486664i | ||||
\(266\) | 11.0695 | − | 4.02897i | 0.678714 | − | 0.247032i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.396440 | − | 2.24832i | −0.0242164 | − | 0.137338i | ||||
\(269\) | −22.1408 | −1.34995 | −0.674973 | − | 0.737842i | \(-0.735845\pi\) | ||||
−0.674973 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.9627 | 1.69861 | 0.849307 | − | 0.527899i | \(-0.177020\pi\) | ||||
0.849307 | + | 0.527899i | \(0.177020\pi\) | |||||||
\(272\) | −0.804010 | − | 4.55977i | −0.0487503 | − | 0.276476i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.27287 | + | 2.28314i | −0.378958 | + | 0.137929i | ||||
\(275\) | 6.94075 | + | 5.82398i | 0.418543 | + | 0.351199i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.7449 | + | 6.45860i | 1.06618 | + | 0.388060i | 0.814749 | − | 0.579814i | \(-0.196875\pi\) |
0.251436 | + | 0.967874i | \(0.419097\pi\) | |||||||
\(278\) | −8.80397 | − | 15.2489i | −0.528027 | − | 0.914569i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.55431 | + | 9.62034i | −0.331933 | + | 0.574925i | ||||
\(281\) | 15.3222 | − | 12.8569i | 0.914047 | − | 0.766977i | −0.0588373 | − | 0.998268i | \(-0.518739\pi\) |
0.972885 | + | 0.231291i | \(0.0742949\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.90775 | − | 16.4906i | 0.172848 | − | 0.980267i | −0.767752 | − | 0.640748i | \(-0.778624\pi\) |
0.940599 | − | 0.339519i | \(-0.110264\pi\) | |||||||
\(284\) | 0.479838 | − | 2.72130i | 0.0284732 | − | 0.161479i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 34.5133 | − | 28.9601i | 2.04082 | − | 1.71245i | ||||
\(287\) | 6.73722 | − | 11.6692i | 0.397685 | − | 0.688811i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.02317 | + | 13.8965i | 0.471951 | + | 0.817444i | ||||
\(290\) | −20.4840 | − | 7.45557i | −1.20286 | − | 0.437806i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.71694 | − | 1.44069i | −0.100476 | − | 0.0843098i | ||||
\(293\) | 18.3917 | − | 6.69402i | 1.07445 | − | 0.391069i | 0.256613 | − | 0.966514i | \(-0.417394\pi\) |
0.817840 | + | 0.575446i | \(0.195171\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.63835 | + | 14.9628i | 0.153611 | + | 0.871169i | ||||
\(296\) | −3.11549 | −0.181084 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.7437 | −1.78093 | ||||||||
\(299\) | 1.92615 | + | 10.9237i | 0.111392 | + | 0.631735i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −25.6994 | + | 9.35383i | −1.48129 | + | 0.539146i | ||||
\(302\) | 1.50278 | + | 1.26098i | 0.0864751 | + | 0.0725612i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.9639 | + | 4.35451i | 0.686177 | + | 0.249748i | ||||
\(305\) | 1.07906 | + | 1.86899i | 0.0617870 | + | 0.107018i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.44973 | + | 12.9033i | −0.425179 | + | 0.736431i | −0.996437 | − | 0.0843392i | \(-0.973122\pi\) |
0.571258 | + | 0.820770i | \(0.306455\pi\) | |||||||
\(308\) | −4.34272 | + | 3.64398i | −0.247450 | + | 0.207635i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.480331 | + | 2.72410i | −0.0272810 | + | 0.154718i | ||||
\(311\) | −0.797455 | + | 4.52259i | −0.0452195 | + | 0.256453i | −0.999034 | − | 0.0439436i | \(-0.986008\pi\) |
0.953814 | + | 0.300396i | \(0.0971189\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.09194 | − | 7.62904i | 0.513907 | − | 0.431219i | −0.348595 | − | 0.937274i | \(-0.613341\pi\) |
0.862501 | + | 0.506055i | \(0.168897\pi\) | |||||||
\(314\) | −2.78836 | + | 4.82958i | −0.157356 | + | 0.272549i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.14408 | − | 1.98161i | −0.0643597 | − | 0.111474i | ||||
\(317\) | −13.6418 | − | 4.96522i | −0.766202 | − | 0.278875i | −0.0707952 | − | 0.997491i | \(-0.522554\pi\) |
−0.695407 | + | 0.718616i | \(0.744776\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 26.1648 | + | 21.9549i | 1.46495 | + | 1.22924i | ||||
\(320\) | −8.18207 | + | 2.97803i | −0.457392 | + | 0.166477i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.22886 | − | 6.96919i | −0.0684815 | − | 0.388378i | ||||
\(323\) | 2.62232 | 0.145910 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | −4.37193 | − | 24.7944i | −0.242139 | − | 1.37324i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.8484 | − | 3.94851i | 0.599005 | − | 0.218020i | ||||
\(329\) | 26.6083 | + | 22.3270i | 1.46696 | + | 1.23093i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.61687 | + | 2.77231i | 0.418661 | + | 0.152380i | 0.542756 | − | 0.839890i | \(-0.317381\pi\) |
−0.124095 | + | 0.992270i | \(0.539603\pi\) | |||||||
\(332\) | −1.41620 | − | 2.45292i | −0.0777238 | − | 0.134622i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.4313 | + | 19.7996i | −0.625494 | + | 1.08339i | ||||
\(335\) | −5.97426 | + | 5.01300i | −0.326409 | + | 0.273890i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.26597 | + | 18.5222i | −0.177909 | + | 1.00897i | 0.756824 | + | 0.653618i | \(0.226750\pi\) |
−0.934733 | + | 0.355351i | \(0.884361\pi\) | |||||||
\(338\) | −9.39570 | + | 53.2857i | −0.511059 | + | 2.89836i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.616981 | − | 0.517709i | 0.0334605 | − | 0.0280767i | ||||
\(341\) | 2.16708 | − | 3.75350i | 0.117354 | − | 0.203263i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.72082 | + | 15.1049i | 0.470880 | + | 0.815588i | ||||
\(344\) | −22.0189 | − | 8.01421i | −1.18718 | − | 0.432097i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.2560 | + | 12.8013i | 0.820170 | + | 0.688204i | ||||
\(347\) | −16.5552 | + | 6.02558i | −0.888727 | + | 0.323470i | −0.745726 | − | 0.666252i | \(-0.767897\pi\) |
−0.143001 | + | 0.989723i | \(0.545675\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.95016 | − | 16.7312i | −0.157918 | − | 0.895600i | −0.956069 | − | 0.293142i | \(-0.905299\pi\) |
0.798151 | − | 0.602458i | \(-0.205812\pi\) | |||||||
\(350\) | 9.57475 | 0.511792 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.2962 | −0.602090 | ||||||||
\(353\) | 2.63174 | + | 14.9254i | 0.140074 | + | 0.794396i | 0.971192 | + | 0.238300i | \(0.0765902\pi\) |
−0.831118 | + | 0.556096i | \(0.812299\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.87021 | + | 3.22849i | −0.470782 | + | 0.171351i | ||||
\(356\) | 1.71054 | + | 1.43531i | 0.0906582 | + | 0.0760712i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.438881 | − | 0.159740i | −0.0231956 | − | 0.00844250i | ||||
\(359\) | 1.22548 | + | 2.12259i | 0.0646783 | + | 0.112026i | 0.896551 | − | 0.442940i | \(-0.146065\pi\) |
−0.831873 | + | 0.554966i | \(0.812731\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.89461 | − | 10.2098i | 0.310243 | − | 0.537356i | ||||
\(362\) | −1.71757 | + | 1.44121i | −0.0902734 | + | 0.0757484i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.63058 | − | 9.24746i | 0.0854654 | − | 0.484699i | ||||
\(365\) | −1.32952 | + | 7.54010i | −0.0695904 | + | 0.394667i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.00622 | + | 0.844323i | −0.0525245 | + | 0.0440733i | −0.668672 | − | 0.743557i | \(-0.733137\pi\) |
0.616148 | + | 0.787631i | \(0.288693\pi\) | |||||||
\(368\) | 3.82425 | − | 6.62379i | 0.199353 | − | 0.345289i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.73314 | − | 3.00189i | −0.0901017 | − | 0.156061i | ||||
\(371\) | −19.1770 | − | 6.97984i | −0.995618 | − | 0.362375i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.37407 | − | 6.18758i | −0.381815 | − | 0.320381i | 0.431599 | − | 0.902065i | \(-0.357949\pi\) |
−0.813415 | + | 0.581684i | \(0.802394\pi\) | |||||||
\(374\) | −6.01278 | + | 2.18847i | −0.310913 | + | 0.113163i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.16778 | + | 29.3080i | 0.266508 | + | 1.51144i | ||||
\(377\) | −56.5753 | −2.91377 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.56311 | −0.439857 | −0.219929 | − | 0.975516i | \(-0.570582\pi\) | ||||
−0.219929 | + | 0.975516i | \(0.570582\pi\) | |||||||
\(380\) | 0.384578 | + | 2.18105i | 0.0197284 | + | 0.111885i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −30.5899 | + | 11.1338i | −1.56512 | + | 0.569656i | ||||
\(383\) | −25.7656 | − | 21.6199i | −1.31656 | − | 1.10473i | −0.987022 | − | 0.160584i | \(-0.948662\pi\) |
−0.329539 | − | 0.944142i | \(-0.606893\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.1977 | + | 6.62344i | 0.927443 | + | 0.337562i | ||||
\(386\) | −16.5385 | − | 28.6455i | −0.841786 | − | 1.45802i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.10681 | + | 3.64911i | −0.106957 | + | 0.185255i | ||||
\(389\) | 11.4554 | − | 9.61223i | 0.580813 | − | 0.487360i | −0.304401 | − | 0.952544i | \(-0.598456\pi\) |
0.885214 | + | 0.465184i | \(0.154012\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.273555 | − | 1.55141i | 0.0138343 | − | 0.0784582i | ||||
\(392\) | 0.299542 | − | 1.69879i | 0.0151291 | − | 0.0858016i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.6030 | + | 9.73611i | −0.584553 | + | 0.490498i | ||||
\(395\) | −3.90824 | + | 6.76927i | −0.196645 | + | 0.340599i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.38938 | + | 14.5308i | 0.421051 | + | 0.729282i | 0.996043 | − | 0.0888774i | \(-0.0283279\pi\) |
−0.574991 | + | 0.818159i | \(0.694995\pi\) | |||||||
\(398\) | −15.8580 | − | 5.77185i | −0.794891 | − | 0.289317i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.92732 | + | 6.65182i | 0.396366 | + | 0.332591i | ||||
\(401\) | 12.3347 | − | 4.48946i | 0.615965 | − | 0.224193i | −0.0151464 | − | 0.999885i | \(-0.504821\pi\) |
0.631111 | + | 0.775693i | \(0.282599\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.24663 | + | 7.07000i | 0.0620992 | + | 0.352182i | ||||
\(404\) | −3.83541 | −0.190819 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 36.0943 | 1.79133 | ||||||||
\(407\) | 0.943123 | + | 5.34872i | 0.0467489 | + | 0.265126i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.9157 | + | 8.70459i | −1.18255 | + | 0.430414i | −0.857103 | − | 0.515145i | \(-0.827738\pi\) |
−0.325450 | + | 0.945559i | \(0.605516\pi\) | |||||||
\(410\) | 9.83951 | + | 8.25633i | 0.485939 | + | 0.407751i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.00017 | + | 0.364032i | 0.0492748 | + | 0.0179346i | ||||
\(413\) | −12.5789 | − | 21.7872i | −0.618965 | − | 1.07208i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.83779 | + | 8.37929i | −0.237478 | + | 0.411323i | ||||
\(416\) | 14.3334 | − | 12.0272i | 0.702753 | − | 0.589680i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.05531 | − | 17.3275i | 0.149440 | − | 0.847517i | ||||
\(419\) | 2.20013 | − | 12.4776i | 0.107483 | − | 0.609569i | −0.882716 | − | 0.469907i | \(-0.844287\pi\) |
0.990199 | − | 0.139662i | \(-0.0446015\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.5416 | + | 11.3627i | −0.659975 | + | 0.553785i | −0.910079 | − | 0.414434i | \(-0.863980\pi\) |
0.250104 | + | 0.968219i | \(0.419535\pi\) | |||||||
\(422\) | −11.8777 | + | 20.5727i | −0.578196 | + | 1.00147i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.74249 | − | 15.1424i | −0.424573 | − | 0.735382i | ||||
\(425\) | 2.00289 | + | 0.728993i | 0.0971545 | + | 0.0353614i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.73741 | − | 2.29696i | −0.132473 | − | 0.111158i | ||||
\(428\) | −5.81081 | + | 2.11496i | −0.280876 | + | 0.102231i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.52707 | − | 25.6743i | −0.218315 | − | 1.23812i | ||||
\(431\) | −15.6974 | −0.756117 | −0.378059 | − | 0.925782i | \(-0.623408\pi\) | ||||
−0.378059 | + | 0.925782i | \(0.623408\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6258 | −0.606759 | −0.303380 | − | 0.952870i | \(-0.598115\pi\) | ||||
−0.303380 | + | 0.952870i | \(0.598115\pi\) | |||||||
\(434\) | −0.795335 | − | 4.51057i | −0.0381773 | − | 0.216514i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.63954 | − | 2.05262i | 0.270085 | − | 0.0983028i | ||||
\(437\) | 3.31837 | + | 2.78444i | 0.158739 | + | 0.133198i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.3124 | − | 9.21297i | −1.20810 | − | 0.439711i | −0.342053 | − | 0.939681i | \(-0.611122\pi\) |
−0.866043 | + | 0.499970i | \(0.833344\pi\) | |||||||
\(440\) | 8.29608 | + | 14.3692i | 0.395500 | + | 0.685027i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.29934 | − | 9.17873i | 0.252064 | − | 0.436588i | ||||
\(443\) | −26.6031 | + | 22.3227i | −1.26395 | + | 1.06058i | −0.268703 | + | 0.963223i | \(0.586595\pi\) |
−0.995249 | + | 0.0973585i | \(0.968961\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.32456 | − | 7.51196i | 0.0627902 | − | 0.356101i | ||||
\(446\) | 3.36801 | − | 19.1009i | 0.159480 | − | 0.904456i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.0444 | − | 9.26732i | 0.521797 | − | 0.437840i | ||||
\(449\) | −10.3731 | + | 17.9667i | −0.489535 | + | 0.847900i | −0.999927 | − | 0.0120419i | \(-0.996167\pi\) |
0.510392 | + | 0.859942i | \(0.329500\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.0629 | − | 17.4295i | −0.473844 | − | 0.820722i | ||||
\(452\) | −0.208162 | − | 0.0757647i | −0.00979111 | − | 0.00356367i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.53732 | + | 3.80727i | 0.212947 | + | 0.178684i | ||||
\(455\) | −30.1426 | + | 10.9710i | −1.41311 | + | 0.514329i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.25161 | − | 7.09823i | −0.0585478 | − | 0.332041i | 0.941439 | − | 0.337183i | \(-0.109474\pi\) |
−0.999987 | + | 0.00514224i | \(0.998363\pi\) | |||||||
\(458\) | 29.3621 | 1.37200 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.33046 | 0.0620332 | ||||||||
\(461\) | −4.01593 | − | 22.7755i | −0.187041 | − | 1.06076i | −0.923305 | − | 0.384067i | \(-0.874523\pi\) |
0.736265 | − | 0.676694i | \(-0.236588\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.67576 | + | 1.70184i | −0.217301 | + | 0.0790911i | −0.448377 | − | 0.893845i | \(-0.647998\pi\) |
0.231076 | + | 0.972936i | \(0.425775\pi\) | |||||||
\(464\) | 29.8839 | + | 25.0756i | 1.38733 | + | 1.16411i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.809515 | − | 0.294639i | −0.0375000 | − | 0.0136489i | ||||
\(467\) | −6.24068 | − | 10.8092i | −0.288784 | − | 0.500189i | 0.684735 | − | 0.728792i | \(-0.259918\pi\) |
−0.973520 | + | 0.228602i | \(0.926584\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.45669 | − | 11.1833i | 0.298142 | − | 0.516397i | ||||
\(470\) | −25.3645 | + | 21.2833i | −1.16998 | + | 0.981726i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.74294 | − | 21.2273i | 0.172283 | − | 0.977064i | ||||
\(473\) | −7.09335 | + | 40.2284i | −0.326153 | + | 1.84970i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.48974 | + | 3.76734i | −0.206004 | + | 0.172858i | ||||
\(476\) | −0.666803 | + | 1.15494i | −0.0305628 | + | 0.0529364i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.8588 | + | 27.4683i | 0.725365 | + | 1.25637i | ||||
\(479\) | 26.7542 | + | 9.73775i | 1.22243 | + | 0.444929i | 0.870999 | − | 0.491284i | \(-0.163472\pi\) |
0.351433 | + | 0.936213i | \(0.385694\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.89152 | − | 5.78267i | −0.314226 | − | 0.263667i | ||||
\(482\) | 22.6803 | − | 8.25495i | 1.03306 | − | 0.376003i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.531793 | + | 3.01595i | 0.0241724 | + | 0.137088i | ||||
\(485\) | 14.3939 | 0.653595 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.6841 | 1.34511 | 0.672557 | − | 0.740045i | \(-0.265196\pi\) | ||||
0.672557 | + | 0.740045i | \(0.265196\pi\) | |||||||
\(488\) | −0.531653 | − | 3.01515i | −0.0240668 | − | 0.136489i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.80348 | − | 0.656412i | 0.0814728 | − | 0.0296537i | ||||
\(491\) | −9.50275 | − | 7.97375i | −0.428853 | − | 0.359850i | 0.402666 | − | 0.915347i | \(-0.368084\pi\) |
−0.831519 | + | 0.555497i | \(0.812528\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.55038 | + | 2.74811i | 0.340052 | + | 0.123769i | ||||
\(494\) | 14.5720 | + | 25.2394i | 0.655623 | + | 1.13557i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.47512 | − | 4.28702i | 0.111136 | − | 0.192493i | ||||
\(497\) | 11.9732 | − | 10.0467i | 0.537073 | − | 0.450658i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.395887 | + | 2.24519i | −0.0177223 | + | 0.100508i | −0.992386 | − | 0.123168i | \(-0.960695\pi\) |
0.974664 | + | 0.223676i | \(0.0718058\pi\) | |||||||
\(500\) | −1.02867 | + | 5.83387i | −0.0460035 | + | 0.260899i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.4240 | − | 12.9423i | 0.688407 | − | 0.577642i | ||||
\(503\) | 20.6406 | − | 35.7506i | 0.920320 | − | 1.59404i | 0.121399 | − | 0.992604i | \(-0.461262\pi\) |
0.798920 | − | 0.601437i | \(-0.205405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.55097 | + | 11.3466i | 0.291514 | + | 0.504917i | ||||
\(506\) | −9.93253 | − | 3.61515i | −0.441555 | − | 0.160713i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.199896 | − | 0.167733i | −0.00886896 | − | 0.00744194i | ||||
\(509\) | 15.4337 | − | 5.61739i | 0.684085 | − | 0.248986i | 0.0234843 | − | 0.999724i | \(-0.492524\pi\) |
0.660600 | + | 0.750738i | \(0.270302\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.20143 | − | 12.4849i | −0.0973856 | − | 0.552301i | ||||
\(512\) | 9.67844 | 0.427731 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −20.6845 | −0.912355 | ||||||||
\(515\) | −0.631366 | − | 3.58066i | −0.0278213 | − | 0.157783i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 48.7519 | − | 17.7443i | 2.14411 | − | 0.780391i | ||||
\(518\) | 4.39670 | + | 3.68927i | 0.193180 | + | 0.162097i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −25.8257 | − | 9.39978i | −1.13253 | − | 0.412208i | ||||
\(521\) | −4.64836 | − | 8.05119i | −0.203648 | − | 0.352729i | 0.746053 | − | 0.665887i | \(-0.231947\pi\) |
−0.949701 | + | 0.313157i | \(0.898613\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.3736 | − | 19.6996i | 0.497331 | − | 0.861402i | −0.502664 | − | 0.864482i | \(-0.667647\pi\) |
0.999995 | + | 0.00307938i | \(0.000980199\pi\) | |||||||
\(524\) | −4.29704 | + | 3.60564i | −0.187717 | + | 0.157513i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.60771 | + | 14.7891i | −0.113702 | + | 0.644834i | ||||
\(527\) | 0.177049 | − | 1.00410i | 0.00771239 | − | 0.0437392i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.6255 | + | 13.1114i | −0.679371 | + | 0.570060i | ||||
\(530\) | 9.72687 | − | 16.8474i | 0.422508 | − | 0.731806i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.83355 | − | 3.17581i | −0.0794946 | − | 0.137689i | ||||
\(533\) | 31.3258 | + | 11.4017i | 1.35687 | + | 0.493861i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.1819 | + | 13.5782i | 0.699603 | + | 0.587037i | ||||
\(536\) | 10.3967 | − | 3.78410i | 0.449070 | − | 0.163448i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.06850 | + | 34.4162i | 0.261632 | + | 1.48379i | ||||
\(539\) | −3.00718 | −0.129528 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.38959 | 0.102737 | 0.0513683 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513683 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(542\) | −7.66422 | − | 43.4659i | −0.329206 | − | 1.86702i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.49711 | + | 0.908874i | −0.107063 | + | 0.0389676i | ||||
\(545\) | −15.7049 | − | 13.1780i | −0.672724 | − | 0.564482i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.8777 | − | 10.1466i | −1.19196 | − | 0.433839i | −0.331550 | − | 0.943438i | \(-0.607572\pi\) |
−0.860412 | + | 0.509599i | \(0.829794\pi\) | |||||||
\(548\) | 1.03904 | + | 1.79967i | 0.0443856 | + | 0.0768781i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.15057 | − | 12.3852i | 0.304901 | − | 0.528105i | ||||
\(551\) | −16.9252 | + | 14.2019i | −0.721036 | + | 0.605021i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.24745 | − | 12.7459i | 0.0955714 | − | 0.542012i | ||||
\(554\) | 5.17577 | − | 29.3533i | 0.219897 | − | 1.24710i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.19898 | + | 3.52336i | −0.178076 | + | 0.149424i | ||||
\(557\) | 4.20706 | − | 7.28685i | 0.178259 | − | 0.308754i | −0.763025 | − | 0.646369i | \(-0.776287\pi\) |
0.941284 | + | 0.337615i | \(0.109620\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −33.8309 | − | 58.5969i | −1.43090 | − | 2.47838i | ||||
\(560\) | 20.7844 | + | 7.56491i | 0.878302 | + | 0.319676i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −24.1847 | − | 20.2933i | −1.02017 | − | 0.856023i | ||||
\(563\) | −25.5845 | + | 9.31201i | −1.07826 | + | 0.392455i | −0.819260 | − | 0.573423i | \(-0.805615\pi\) |
−0.259000 | + | 0.965877i | \(0.583393\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.131404 | + | 0.745230i | 0.00552822 | + | 0.0313521i | ||||
\(566\) | −26.4304 | −1.11095 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.3915 | 0.561894 | ||||||||
\(569\) | 3.81146 | + | 21.6159i | 0.159785 | + | 0.906184i | 0.954280 | + | 0.298914i | \(0.0966243\pi\) |
−0.794495 | + | 0.607270i | \(0.792265\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 42.1485 | − | 15.3408i | 1.76386 | − | 0.641992i | 0.763864 | − | 0.645377i | \(-0.223300\pi\) |
0.999994 | + | 0.00338488i | \(0.00107744\pi\) | |||||||
\(572\) | −10.7441 | − | 9.01533i | −0.449232 | − | 0.376950i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −19.9855 | − | 7.27412i | −0.834178 | − | 0.303616i | ||||
\(575\) | 1.76046 | + | 3.04921i | 0.0734163 | + | 0.127161i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.00955 | + | 10.4088i | −0.250181 | + | 0.433326i | −0.963575 | − | 0.267437i | \(-0.913823\pi\) |
0.713395 | + | 0.700762i | \(0.247157\pi\) | |||||||
\(578\) | 19.4021 | − | 16.2803i | 0.807020 | − | 0.677170i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.17837 | + | 6.68286i | −0.0489291 | + | 0.277491i | ||||
\(581\) | 2.78199 | − | 15.7775i | 0.115417 | − | 0.654560i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −23.3502 | + | 19.5932i | −0.967068 | + | 0.811467i | ||||
\(584\) | 5.43095 | − | 9.40669i | 0.224734 | − | 0.389252i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.4463 | − | 26.7537i | −0.638079 | − | 1.10519i | ||||
\(587\) | −16.0028 | − | 5.82456i | −0.660508 | − | 0.240405i | −0.0100523 | − | 0.999949i | \(-0.503200\pi\) |
−0.650456 | + | 0.759544i | \(0.725422\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.14770 | + | 1.80214i | 0.0884946 | + | 0.0742558i | ||||
\(590\) | 22.5354 | − | 8.20223i | 0.927769 | − | 0.337680i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.07718 | + | 6.10899i | 0.0442718 | + | 0.251078i | ||||
\(593\) | 14.9284 | 0.613037 | 0.306519 | − | 0.951865i | \(-0.400836\pi\) | ||||
0.306519 | + | 0.951865i | \(0.400836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.55566 | 0.186764 | ||||||||
\(596\) | 1.66191 | + | 9.42516i | 0.0680745 | + | 0.386070i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 16.4522 | − | 5.98810i | 0.672779 | − | 0.244871i | ||||
\(599\) | −10.3683 | − | 8.70000i | −0.423636 | − | 0.355472i | 0.405909 | − | 0.913914i | \(-0.366955\pi\) |
−0.829544 | + | 0.558441i | \(0.811400\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 42.5843 | + | 15.4994i | 1.73705 | + | 0.632234i | 0.999092 | − | 0.0426125i | \(-0.0135681\pi\) |
0.737958 | + | 0.674847i | \(0.235790\pi\) | |||||||
\(602\) | 21.5837 | + | 37.3841i | 0.879686 | + | 1.52366i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.305346 | − | 0.528874i | 0.0124243 | − | 0.0215196i | ||||
\(605\) | 8.01401 | − | 6.72455i | 0.325816 | − | 0.273392i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.24340 | − | 24.0655i | 0.172234 | − | 0.976790i | −0.769053 | − | 0.639185i | \(-0.779272\pi\) |
0.941288 | − | 0.337605i | \(-0.109617\pi\) | |||||||
\(608\) | 1.26887 | − | 7.19613i | 0.0514596 | − | 0.291842i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.60945 | − | 2.18959i | 0.105654 | − | 0.0886539i | ||||
\(611\) | −42.9674 | + | 74.4217i | −1.73827 | + | 3.01078i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5998 | + | 21.8235i | 0.508901 | + | 0.881443i | 0.999947 | + | 0.0103088i | \(0.00328145\pi\) |
−0.491046 | + | 0.871134i | \(0.663385\pi\) | |||||||
\(614\) | 22.0991 | + | 8.04342i | 0.891847 | + | 0.324606i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −21.0458 | − | 17.6596i | −0.847961 | − | 0.711524i | ||||
\(617\) | 3.79810 | − | 1.38239i | 0.152906 | − | 0.0556531i | −0.264433 | − | 0.964404i | \(-0.585185\pi\) |
0.417339 | + | 0.908751i | \(0.362963\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.77423 | − | 44.0898i | −0.312473 | − | 1.77212i | −0.586055 | − | 0.810271i | \(-0.699320\pi\) |
0.273582 | − | 0.961849i | \(-0.411791\pi\) | |||||||
\(620\) | 0.861097 | 0.0345825 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.24860 | 0.290642 | ||||||||
\(623\) | 2.19321 | + | 12.4383i | 0.0878693 | + | 0.498332i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.76089 | − | 3.18870i | 0.350435 | − | 0.127548i | ||||
\(626\) | −14.3508 | − | 12.0417i | −0.573572 | − | 0.481284i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.63135 | + | 0.593762i | 0.0650978 | + | 0.0236937i | ||||
\(629\) | 0.638833 | + | 1.10649i | 0.0254719 | + | 0.0441187i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.7058 | + | 27.2033i | −0.625238 | + | 1.08294i | 0.363256 | + | 0.931689i | \(0.381665\pi\) |
−0.988495 | + | 0.151255i | \(0.951668\pi\) | |||||||
\(632\) | 8.49465 | − | 7.12786i | 0.337899 | − | 0.283531i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.97902 | + | 22.5661i | −0.158027 | + | 0.896215i | ||||
\(635\) | −0.154790 | + | 0.877861i | −0.00614267 | + | 0.0348368i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.81571 | − | 3.20176i | 0.151184 | − | 0.126859i | ||||
\(638\) | 26.9558 | − | 46.6888i | 1.06719 | − | 1.84843i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.4392 | + | 19.8133i | 0.452176 | + | 0.783191i | ||||
\(641\) | 45.7072 | + | 16.6361i | 1.80533 | + | 0.657085i | 0.997729 | + | 0.0673508i | \(0.0214547\pi\) |
0.807597 | + | 0.589734i | \(0.200768\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.4740 | − | 18.0189i | −0.846853 | − | 0.710594i | 0.112241 | − | 0.993681i | \(-0.464197\pi\) |
−0.959094 | + | 0.283087i | \(0.908642\pi\) | |||||||
\(644\) | −2.07013 | + | 0.753467i | −0.0815747 | + | 0.0296907i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.718744 | − | 4.07620i | −0.0282786 | − | 0.160376i | ||||
\(647\) | 37.5519 | 1.47632 | 0.738159 | − | 0.674627i | \(-0.235696\pi\) | ||||
0.738159 | + | 0.674627i | \(0.235696\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.5763 | −1.47500 | ||||||||
\(650\) | 4.11343 | + | 23.3284i | 0.161342 | + | 0.915015i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.36496 | + | 2.68062i | −0.288434 | + | 0.104981i | ||||
\(653\) | 3.91619 | + | 3.28607i | 0.153252 | + | 0.128594i | 0.716190 | − | 0.697905i | \(-0.245884\pi\) |
−0.562938 | + | 0.826499i | \(0.690329\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.0063 | + | 6.55376i | 0.703564 | + | 0.256076i | ||||
\(656\) | −11.4933 | − | 19.9069i | −0.448737 | − | 0.777236i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 27.4126 | − | 47.4801i | 1.06866 | − | 1.85097i | ||||
\(659\) | −26.8161 | + | 22.5014i | −1.04461 | + | 0.876529i | −0.992516 | − | 0.122114i | \(-0.961033\pi\) |
−0.0520901 | + | 0.998642i | \(0.516588\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.231553 | − | 1.31320i | 0.00900637 | − | 0.0510777i | −0.979973 | − | 0.199129i | \(-0.936189\pi\) |
0.988980 | + | 0.148051i | \(0.0473000\pi\) | |||||||
\(662\) | 2.22167 | − | 12.5997i | 0.0863476 | − | 0.489701i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.5151 | − | 8.82317i | 0.408063 | − | 0.342406i | ||||
\(665\) | −6.26350 | + | 10.8487i | −0.242888 | + | 0.420694i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.63648 | + | 11.4947i | 0.256966 | + | 0.445077i | ||||
\(668\) | 6.68795 | + | 2.43422i | 0.258765 | + | 0.0941827i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 9.42980 | + | 7.91255i | 0.364305 | + | 0.305688i | ||||
\(671\) | −5.01552 | + | 1.82550i | −0.193622 | + | 0.0704726i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.621579 | − | 3.52515i | −0.0239601 | − | 0.135884i | 0.970481 | − | 0.241177i | \(-0.0775333\pi\) |
−0.994441 | + | 0.105292i | \(0.966422\pi\) | |||||||
\(674\) | 29.6866 | 1.14348 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.8438 | 0.647839 | ||||||||
\(677\) | 6.41437 | + | 36.3777i | 0.246524 | + | 1.39811i | 0.816926 | + | 0.576743i | \(0.195677\pi\) |
−0.570401 | + | 0.821366i | \(0.693212\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.3962 | + | 8.15156i | −0.859488 | + | 0.312828i | ||||
\(680\) | 2.99003 | + | 2.50894i | 0.114663 | + | 0.0962133i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.42850 | − | 2.33978i | −0.246160 | − | 0.0895948i | ||||
\(683\) | 19.0083 | + | 32.9233i | 0.727332 | + | 1.25978i | 0.958007 | + | 0.286745i | \(0.0925733\pi\) |
−0.230675 | + | 0.973031i | \(0.574093\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.54941 | − | 6.14775i | 0.135616 | − | 0.234894i | ||||
\(686\) | 21.0892 | − | 17.6959i | 0.805188 | − | 0.675633i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.10161 | + | 45.9465i | −0.308871 | + | 1.75170i | ||||
\(689\) | 8.76739 | − | 49.7223i | 0.334011 | − | 1.89427i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.421680 | − | 0.353832i | 0.0160415 | − | 0.0134604i | −0.634732 | − | 0.772733i | \(-0.718889\pi\) |
0.650773 | + | 0.759272i | \(0.274445\pi\) | |||||||
\(692\) | 3.09984 | − | 5.36908i | 0.117838 | − | 0.204102i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.9039 | + | 24.0822i | 0.527784 | + | 0.914148i | ||||
\(695\) | 17.5954 | + | 6.40420i | 0.667432 | + | 0.242925i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.62683 | − | 3.04327i | −0.137376 | − | 0.115272i | ||||
\(698\) | −25.1988 | + | 9.17160i | −0.953788 | + | 0.347150i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.517582 | − | 2.93535i | −0.0195628 | − | 0.110946i | ||||
\(701\) | −19.0242 | −0.718534 | −0.359267 | − | 0.933235i | \(-0.616973\pi\) | ||||
−0.359267 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.51328 | −0.132506 | ||||||||
\(704\) | −3.73939 | − | 21.2071i | −0.140933 | − | 0.799273i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 22.4790 | − | 8.18169i | 0.846009 | − | 0.307922i | ||||
\(707\) | −16.6188 | − | 13.9448i | −0.625013 | − | 0.524448i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.4236 | − | 4.15786i | −0.429024 | − | 0.156152i | 0.118478 | − | 0.992957i | \(-0.462199\pi\) |
−0.547501 | + | 0.836805i | \(0.684421\pi\) | |||||||
\(710\) | 7.44966 | + | 12.9032i | 0.279581 | + | 0.484248i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.41068 | + | 9.37158i | −0.202774 | + | 0.351215i | ||||
\(713\) | 1.29022 | − | 1.08262i | 0.0483191 | − | 0.0405445i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.31971 | + | 47.1834i | −0.311140 | + | 1.76456i | ||||
\(716\) | −0.0252472 | + | 0.143184i | −0.000943531 | + | 0.00535103i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.96352 | − | 2.48669i | 0.110598 | − | 0.0928024i | ||||
\(719\) | 4.88834 | − | 8.46685i | 0.182304 | − | 0.315760i | −0.760361 | − | 0.649501i | \(-0.774978\pi\) |
0.942665 | + | 0.333741i | \(0.108311\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01017 | + | 5.21376i | 0.112104 | + | 0.194171i | ||||
\(722\) | −17.4859 | − | 6.36437i | −0.650760 | − | 0.236857i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.534682 | + | 0.448651i | 0.0198713 | + | 0.0166740i | ||||
\(725\) | −16.8752 | + | 6.14209i | −0.626731 | + | 0.228111i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.752752 | + | 4.26907i | 0.0279180 | + | 0.158331i | 0.995580 | − | 0.0939207i | \(-0.0299400\pi\) |
−0.967662 | + | 0.252252i | \(0.918829\pi\) | |||||||
\(728\) | 45.5067 | 1.68659 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0849 | 0.447283 | ||||||||
\(731\) | 1.66867 | + | 9.46350i | 0.0617180 | + | 0.350020i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −27.4331 | + | 9.98482i | −1.01326 | + | 0.368798i | −0.794685 | − | 0.607022i | \(-0.792364\pi\) |
−0.218578 | + | 0.975819i | \(0.570142\pi\) | |||||||
\(734\) | 1.58823 | + | 1.33268i | 0.0586226 | + | 0.0491902i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.12499 | − | 1.50137i | −0.152049 | − | 0.0553413i | ||||
\(737\) | −9.64391 | − | 16.7037i | −0.355238 | − | 0.615290i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.7777 | + | 35.9880i | −0.764319 | + | 1.32384i | 0.176287 | + | 0.984339i | \(0.443591\pi\) |
−0.940606 | + | 0.339501i | \(0.889742\pi\) | |||||||
\(740\) | −0.826607 | + | 0.693606i | −0.0303867 | + | 0.0254975i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.59349 | + | 31.7222i | −0.205343 | + | 1.16456i | ||||
\(743\) | −3.71214 | + | 21.0526i | −0.136185 | + | 0.772345i | 0.837842 | + | 0.545913i | \(0.183817\pi\) |
−0.974027 | + | 0.226432i | \(0.927294\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 25.0446 | − | 21.0149i | 0.917565 | − | 0.769928i | ||||
\(746\) | −7.59699 | + | 13.1584i | −0.278146 | + | 0.481763i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.995957 | + | 1.72505i | 0.0364158 | + | 0.0630740i | ||||
\(749\) | −32.8677 | − | 11.9629i | −1.20096 | − | 0.437114i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −30.6170 | − | 25.6907i | −1.11723 | − | 0.937467i | −0.118768 | − | 0.992922i | \(-0.537894\pi\) |
−0.998461 | + | 0.0554555i | \(0.982339\pi\) | |||||||
\(752\) | 55.6816 | − | 20.2665i | 2.03050 | − | 0.739042i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 15.5065 | + | 87.9420i | 0.564715 | + | 3.20266i | ||||
\(755\) | −2.08615 | −0.0759228 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.68348 | 0.242915 | 0.121458 | − | 0.992597i | \(-0.461243\pi\) | ||||
0.121458 | + | 0.992597i | \(0.461243\pi\) | |||||||
\(758\) | 2.34704 | + | 13.3107i | 0.0852482 | + | 0.483467i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.0857 | + | 3.67088i | −0.365845 | + | 0.133157i | ||||
\(761\) | −32.1930 | − | 27.0132i | −1.16700 | − | 0.979226i | −0.167019 | − | 0.985954i | \(-0.553414\pi\) |
−0.999977 | + | 0.00672735i | \(0.997859\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 31.8989 | + | 11.6103i | 1.15482 | + | 0.420320i | ||||
\(764\) | 5.06692 | + | 8.77617i | 0.183315 | + | 0.317511i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.5445 | + | 45.9764i | −0.959092 | + | 1.66120i | ||||
\(767\) | 47.6795 | − | 40.0078i | 1.72161 | − | 1.44460i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.419053 | − | 2.37657i | 0.0151114 | − | 0.0857013i | −0.976319 | − | 0.216334i | \(-0.930590\pi\) |
0.991431 | + | 0.130633i | \(0.0417010\pi\) | |||||||
\(770\) | 5.30787 | − | 30.1024i | 0.191282 | − | 1.08482i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.88789 | + | 6.61872i | −0.283891 | + | 0.238213i | ||||
\(773\) | 0.698900 | − | 1.21053i | 0.0251377 | − | 0.0435398i | −0.853183 | − | 0.521612i | \(-0.825331\pi\) |
0.878321 | + | 0.478072i | \(0.158664\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.13940 | + | 1.97350i | 0.0409284 | + | 0.0708901i | ||||
\(776\) | −19.1887 | − | 6.98413i | −0.688835 | − | 0.250715i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.0813 | − | 15.1720i | −0.648245 | − | 0.543942i | ||||
\(779\) | 12.2336 | − | 4.45267i | 0.438315 | − | 0.159533i | ||||
\(780\) | 0 | 0 | < |