Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(110,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.110");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.d (of order \(8\), degree \(4\), 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{8})\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 17) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 179.1 | ||
Root | \(-0.382683 - 0.923880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 289.179 |
Dual form | 289.2.d.d.155.1 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | −0.911438 | − | 0.411438i | \(-0.865027\pi\) |
0.411438 | + | 0.911438i | \(0.365027\pi\) | |||||||
\(3\) | 0 | 0 | 0.382683 | − | 0.923880i | \(-0.375000\pi\) | ||||
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −0.765367 | + | 1.84776i | −0.342282 | + | 0.826343i | 0.655202 | + | 0.755454i | \(0.272584\pi\) |
−0.997484 | + | 0.0708890i | \(0.977416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53073 | + | 3.69552i | 0.578563 | + | 1.39677i | 0.894103 | + | 0.447862i | \(0.147814\pi\) |
−0.315540 | + | 0.948912i | \(0.602186\pi\) | |||||||
\(8\) | −2.12132 | − | 2.12132i | −0.750000 | − | 0.750000i | ||||
\(9\) | −2.12132 | − | 2.12132i | −0.707107 | − | 0.707107i | ||||
\(10\) | −0.765367 | − | 1.84776i | −0.242030 | − | 0.584313i | ||||
\(11\) | 0 | 0 | −0.382683 | − | 0.923880i | \(-0.625000\pi\) | ||||
0.382683 | + | 0.923880i | \(0.375000\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 2.00000i | − | 0.554700i | −0.960769 | − | 0.277350i | \(-0.910544\pi\) | ||
0.960769 | − | 0.277350i | \(-0.0894562\pi\) | |||||||
\(14\) | −3.69552 | − | 1.53073i | −0.987669 | − | 0.409106i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 3.00000 | 0.707107 | ||||||||
\(19\) | −2.82843 | + | 2.82843i | −0.648886 | + | 0.648886i | −0.952724 | − | 0.303838i | \(-0.901732\pi\) |
0.303838 | + | 0.952724i | \(0.401732\pi\) | |||||||
\(20\) | −1.84776 | − | 0.765367i | −0.413171 | − | 0.171141i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.69552 | + | 1.53073i | −0.770569 | + | 0.319180i | −0.733103 | − | 0.680118i | \(-0.761929\pi\) |
−0.0374660 | + | 0.999298i | \(0.511929\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.707107 | + | 0.707107i | 0.141421 | + | 0.141421i | ||||
\(26\) | 1.41421 | + | 1.41421i | 0.277350 | + | 0.277350i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.69552 | + | 1.53073i | −0.698387 | + | 0.289281i | ||||
\(29\) | −2.29610 | + | 5.54328i | −0.426375 | + | 1.02936i | 0.554053 | + | 0.832482i | \(0.313081\pi\) |
−0.980428 | + | 0.196879i | \(0.936919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.69552 | + | 1.53073i | 0.663735 | + | 0.274928i | 0.689009 | − | 0.724753i | \(-0.258046\pi\) |
−0.0252745 | + | 0.999681i | \(0.508046\pi\) | |||||||
\(32\) | 3.53553 | − | 3.53553i | 0.625000 | − | 0.625000i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −8.00000 | −1.35225 | ||||||||
\(36\) | 2.12132 | − | 2.12132i | 0.353553 | − | 0.353553i | ||||
\(37\) | 1.84776 | + | 0.765367i | 0.303770 | + | 0.125826i | 0.529361 | − | 0.848396i | \(-0.322432\pi\) |
−0.225592 | + | 0.974222i | \(0.572432\pi\) | |||||||
\(38\) | − | 4.00000i | − | 0.648886i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.54328 | − | 2.29610i | 0.876469 | − | 0.363045i | ||||
\(41\) | −2.29610 | − | 5.54328i | −0.358591 | − | 0.865714i | −0.995499 | − | 0.0947747i | \(-0.969787\pi\) |
0.636908 | − | 0.770940i | \(-0.280213\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.82843 | + | 2.82843i | 0.431331 | + | 0.431331i | 0.889081 | − | 0.457750i | \(-0.151344\pi\) |
−0.457750 | + | 0.889081i | \(0.651344\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.54328 | − | 2.29610i | 0.826343 | − | 0.342282i | ||||
\(46\) | 1.53073 | − | 3.69552i | 0.225694 | − | 0.544874i | ||||
\(47\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.36396 | + | 6.36396i | −0.909137 | + | 0.909137i | ||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | 4.24264 | − | 4.24264i | 0.582772 | − | 0.582772i | −0.352892 | − | 0.935664i | \(-0.614802\pi\) |
0.935664 | + | 0.352892i | \(0.114802\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.59220 | − | 11.0866i | 0.613659 | − | 1.48150i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.29610 | − | 5.54328i | −0.301493 | − | 0.727868i | ||||
\(59\) | 8.48528 | + | 8.48528i | 1.10469 | + | 1.10469i | 0.993837 | + | 0.110853i | \(0.0353582\pi\) |
0.110853 | + | 0.993837i | \(0.464642\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.82683 | + | 9.23880i | 0.489976 | + | 1.18291i | 0.954732 | + | 0.297468i | \(0.0961421\pi\) |
−0.464756 | + | 0.885439i | \(0.653858\pi\) | |||||||
\(62\) | −3.69552 | + | 1.53073i | −0.469331 | + | 0.194403i | ||||
\(63\) | 4.59220 | − | 11.0866i | 0.578563 | − | 1.39677i | ||||
\(64\) | 7.00000i | 0.875000i | ||||||||
\(65\) | 3.69552 | + | 1.53073i | 0.458373 | + | 0.189864i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.65685 | − | 5.65685i | 0.676123 | − | 0.676123i | ||||
\(71\) | 3.69552 | + | 1.53073i | 0.438577 | + | 0.181665i | 0.591036 | − | 0.806645i | \(-0.298719\pi\) |
−0.152459 | + | 0.988310i | \(0.548719\pi\) | |||||||
\(72\) | 9.00000i | 1.06066i | ||||||||
\(73\) | −2.29610 | + | 5.54328i | −0.268738 | + | 0.648792i | −0.999424 | − | 0.0339219i | \(-0.989200\pi\) |
0.730686 | + | 0.682713i | \(0.239200\pi\) | |||||||
\(74\) | −1.84776 | + | 0.765367i | −0.214798 | + | 0.0889721i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.82843 | − | 2.82843i | −0.324443 | − | 0.324443i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.0866 | − | 4.59220i | 1.24733 | − | 0.516663i | 0.341335 | − | 0.939942i | \(-0.389121\pi\) |
0.906000 | + | 0.423279i | \(0.139121\pi\) | |||||||
\(80\) | −0.765367 | + | 1.84776i | −0.0855706 | + | 0.206586i | ||||
\(81\) | 9.00000i | 1.00000i | ||||||||
\(82\) | 5.54328 | + | 2.29610i | 0.612153 | + | 0.253562i | ||||
\(83\) | 2.82843 | − | 2.82843i | 0.310460 | − | 0.310460i | −0.534628 | − | 0.845088i | \(-0.679548\pi\) |
0.845088 | + | 0.534628i | \(0.179548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.00000 | −0.431331 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 10.0000i | − | 1.06000i | −0.847998 | − | 0.529999i | \(-0.822192\pi\) | ||
0.847998 | − | 0.529999i | \(-0.177808\pi\) | |||||||
\(90\) | −2.29610 | + | 5.54328i | −0.242030 | + | 0.584313i | ||||
\(91\) | 7.39104 | − | 3.06147i | 0.774791 | − | 0.320929i | ||||
\(92\) | −1.53073 | − | 3.69552i | −0.159590 | − | 0.385284i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.06147 | − | 7.39104i | −0.314100 | − | 0.758304i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.765367 | + | 1.84776i | −0.0777112 | + | 0.187612i | −0.957961 | − | 0.286900i | \(-0.907375\pi\) |
0.880249 | + | 0.474511i | \(0.157375\pi\) | |||||||
\(98\) | − | 9.00000i | − | 0.909137i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.707107 | + | 0.707107i | −0.0707107 | + | 0.0707107i | ||||
\(101\) | 10.0000 | 0.995037 | 0.497519 | − | 0.867453i | \(-0.334245\pi\) | ||||
0.497519 | + | 0.867453i | \(0.334245\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.00000 | 0.788263 | 0.394132 | − | 0.919054i | \(-0.371045\pi\) | ||||
0.394132 | + | 0.919054i | \(0.371045\pi\) | |||||||
\(104\) | −4.24264 | + | 4.24264i | −0.416025 | + | 0.416025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.00000i | 0.582772i | ||||||||
\(107\) | 3.06147 | − | 7.39104i | 0.295963 | − | 0.714518i | −0.704027 | − | 0.710173i | \(-0.748617\pi\) |
0.999991 | − | 0.00434556i | \(-0.00138324\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.29610 | + | 5.54328i | 0.219927 | + | 0.530950i | 0.994879 | − | 0.101069i | \(-0.0322264\pi\) |
−0.774953 | + | 0.632019i | \(0.782226\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.53073 | + | 3.69552i | 0.144641 | + | 0.349194i | ||||
\(113\) | −12.9343 | + | 5.35757i | −1.21676 | + | 0.503998i | −0.896378 | − | 0.443291i | \(-0.853811\pi\) |
−0.320380 | + | 0.947289i | \(0.603811\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 8.00000i | − | 0.746004i | ||||||
\(116\) | −5.54328 | − | 2.29610i | −0.514680 | − | 0.213188i | ||||
\(117\) | −4.24264 | + | 4.24264i | −0.392232 | + | 0.392232i | ||||
\(118\) | −12.0000 | −1.10469 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.77817 | + | 7.77817i | −0.707107 | + | 0.707107i | ||||
\(122\) | −9.23880 | − | 3.82683i | −0.836441 | − | 0.346465i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.53073 | + | 3.69552i | −0.137464 | + | 0.331867i | ||||
\(125\) | −11.0866 | + | 4.59220i | −0.991612 | + | 0.410739i | ||||
\(126\) | 4.59220 | + | 11.0866i | 0.409106 | + | 0.987669i | ||||
\(127\) | −5.65685 | − | 5.65685i | −0.501965 | − | 0.501965i | 0.410083 | − | 0.912048i | \(-0.365500\pi\) |
−0.912048 | + | 0.410083i | \(0.865500\pi\) | |||||||
\(128\) | 2.12132 | + | 2.12132i | 0.187500 | + | 0.187500i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.69552 | + | 1.53073i | −0.324118 | + | 0.134254i | ||||
\(131\) | −6.12293 | + | 14.7821i | −0.534963 | + | 1.29152i | 0.393238 | + | 0.919437i | \(0.371355\pi\) |
−0.928201 | + | 0.372079i | \(0.878645\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.7821 | − | 6.12293i | −1.28177 | − | 0.530926i | ||||
\(134\) | 2.82843 | − | 2.82843i | 0.244339 | − | 0.244339i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.00000 | −0.512615 | −0.256307 | − | 0.966595i | \(-0.582506\pi\) | ||||
−0.256307 | + | 0.966595i | \(0.582506\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.39104 | + | 3.06147i | 0.626900 | + | 0.259670i | 0.673435 | − | 0.739246i | \(-0.264818\pi\) |
−0.0465356 | + | 0.998917i | \(0.514818\pi\) | |||||||
\(140\) | − | 8.00000i | − | 0.676123i | ||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.69552 | + | 1.53073i | −0.310121 | + | 0.128456i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.12132 | − | 2.12132i | −0.176777 | − | 0.176777i | ||||
\(145\) | −8.48528 | − | 8.48528i | −0.704664 | − | 0.704664i | ||||
\(146\) | −2.29610 | − | 5.54328i | −0.190027 | − | 0.458765i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.765367 | + | 1.84776i | −0.0629128 | + | 0.151885i | ||||
\(149\) | − | 10.0000i | − | 0.819232i | −0.912258 | − | 0.409616i | \(-0.865663\pi\) | ||
0.912258 | − | 0.409616i | \(-0.134337\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.3137 | − | 11.3137i | 0.920697 | − | 0.920697i | −0.0763821 | − | 0.997079i | \(-0.524337\pi\) |
0.997079 | + | 0.0763821i | \(0.0243369\pi\) | |||||||
\(152\) | 12.0000 | 0.973329 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.65685 | + | 5.65685i | −0.454369 | + | 0.454369i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.00000i | 0.159617i | 0.996810 | + | 0.0798087i | \(0.0254309\pi\) | ||||
−0.996810 | + | 0.0798087i | \(0.974569\pi\) | |||||||
\(158\) | −4.59220 | + | 11.0866i | −0.365336 | + | 0.881999i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.82683 | + | 9.23880i | 0.302538 | + | 0.730391i | ||||
\(161\) | −11.3137 | − | 11.3137i | −0.891645 | − | 0.891645i | ||||
\(162\) | −6.36396 | − | 6.36396i | −0.500000 | − | 0.500000i | ||||
\(163\) | −9.18440 | − | 22.1731i | −0.719378 | − | 1.73673i | −0.675116 | − | 0.737712i | \(-0.735906\pi\) |
−0.0442623 | − | 0.999020i | \(-0.514094\pi\) | |||||||
\(164\) | 5.54328 | − | 2.29610i | 0.432857 | − | 0.179295i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000i | 0.310460i | ||||||||
\(167\) | −3.69552 | − | 1.53073i | −0.285968 | − | 0.118452i | 0.235089 | − | 0.971974i | \(-0.424462\pi\) |
−0.521057 | + | 0.853522i | \(0.674462\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 12.0000 | 0.917663 | ||||||||
\(172\) | −2.82843 | + | 2.82843i | −0.215666 | + | 0.215666i | ||||
\(173\) | −20.3253 | − | 8.41904i | −1.54531 | − | 0.640087i | −0.562848 | − | 0.826561i | \(-0.690294\pi\) |
−0.982460 | + | 0.186473i | \(0.940294\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.53073 | + | 3.69552i | −0.115713 | + | 0.279355i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.07107 | + | 7.07107i | 0.529999 | + | 0.529999i | ||||
\(179\) | 8.48528 | + | 8.48528i | 0.634220 | + | 0.634220i | 0.949124 | − | 0.314904i | \(-0.101972\pi\) |
−0.314904 | + | 0.949124i | \(0.601972\pi\) | |||||||
\(180\) | 2.29610 | + | 5.54328i | 0.171141 | + | 0.413171i | ||||
\(181\) | −1.84776 | + | 0.765367i | −0.137343 | + | 0.0568893i | −0.450296 | − | 0.892879i | \(-0.648682\pi\) |
0.312953 | + | 0.949768i | \(0.398682\pi\) | |||||||
\(182\) | −3.06147 | + | 7.39104i | −0.226931 | + | 0.547860i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 11.0866 | + | 4.59220i | 0.817312 | + | 0.338542i | ||||
\(185\) | −2.82843 | + | 2.82843i | −0.207950 | + | 0.207950i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.39104 | + | 3.06147i | 0.536202 | + | 0.222102i | ||||
\(191\) | 16.0000i | 1.15772i | 0.815427 | + | 0.578860i | \(0.196502\pi\) | ||||
−0.815427 | + | 0.578860i | \(0.803498\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.84776 | + | 0.765367i | −0.133005 | + | 0.0550923i | −0.448193 | − | 0.893937i | \(-0.647932\pi\) |
0.315188 | + | 0.949029i | \(0.397932\pi\) | |||||||
\(194\) | −0.765367 | − | 1.84776i | −0.0549501 | − | 0.132661i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.36396 | − | 6.36396i | −0.454569 | − | 0.454569i | ||||
\(197\) | 6.88830 | + | 16.6298i | 0.490771 | + | 1.18483i | 0.954328 | + | 0.298759i | \(0.0965728\pi\) |
−0.463557 | + | 0.886067i | \(0.653427\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.65367 | − | 18.4776i | 0.542554 | − | 1.30984i | −0.380361 | − | 0.924838i | \(-0.624200\pi\) |
0.922915 | − | 0.385004i | \(-0.125800\pi\) | |||||||
\(200\) | − | 3.00000i | − | 0.212132i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.07107 | + | 7.07107i | −0.497519 | + | 0.497519i | ||||
\(203\) | −24.0000 | −1.68447 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.0000 | 0.838116 | ||||||||
\(206\) | −5.65685 | + | 5.65685i | −0.394132 | + | 0.394132i | ||||
\(207\) | 11.0866 | + | 4.59220i | 0.770569 | + | 0.319180i | ||||
\(208\) | − | 2.00000i | − | 0.138675i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.06147 | + | 7.39104i | 0.210760 | + | 0.508820i | 0.993540 | − | 0.113478i | \(-0.0361992\pi\) |
−0.782780 | + | 0.622298i | \(0.786199\pi\) | |||||||
\(212\) | 4.24264 | + | 4.24264i | 0.291386 | + | 0.291386i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.06147 | + | 7.39104i | 0.209278 | + | 0.505241i | ||||
\(215\) | −7.39104 | + | 3.06147i | −0.504064 | + | 0.208790i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000i | 1.08615i | ||||||||
\(218\) | −5.54328 | − | 2.29610i | −0.375438 | − | 0.155512i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.9706 | − | 16.9706i | 1.13643 | − | 1.13643i | 0.147348 | − | 0.989085i | \(-0.452926\pi\) |
0.989085 | − | 0.147348i | \(-0.0470738\pi\) | |||||||
\(224\) | 18.4776 | + | 7.65367i | 1.23459 | + | 0.511382i | ||||
\(225\) | − | 3.00000i | − | 0.200000i | ||||||
\(226\) | 5.35757 | − | 12.9343i | 0.356380 | − | 0.860378i | ||||
\(227\) | 22.1731 | − | 9.18440i | 1.47168 | − | 0.609590i | 0.504439 | − | 0.863447i | \(-0.331699\pi\) |
0.967242 | + | 0.253857i | \(0.0816993\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.24264 | − | 4.24264i | −0.280362 | − | 0.280362i | 0.552892 | − | 0.833253i | \(-0.313524\pi\) |
−0.833253 | + | 0.552892i | \(0.813524\pi\) | |||||||
\(230\) | 5.65685 | + | 5.65685i | 0.373002 | + | 0.373002i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 16.6298 | − | 6.88830i | 1.09180 | − | 0.452239i | ||||
\(233\) | 2.29610 | − | 5.54328i | 0.150423 | − | 0.363152i | −0.830649 | − | 0.556796i | \(-0.812031\pi\) |
0.981072 | + | 0.193644i | \(0.0620306\pi\) | |||||||
\(234\) | − | 6.00000i | − | 0.392232i | ||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −8.48528 | + | 8.48528i | −0.552345 | + | 0.552345i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.0000 | −1.03495 | −0.517477 | − | 0.855697i | \(-0.673129\pi\) | ||||
−0.517477 | + | 0.855697i | \(0.673129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.6298 | − | 6.88830i | −1.07122 | − | 0.443715i | −0.223800 | − | 0.974635i | \(-0.571846\pi\) |
−0.847422 | + | 0.530921i | \(0.821846\pi\) | |||||||
\(242\) | − | 11.0000i | − | 0.707107i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.23880 | + | 3.82683i | −0.591453 | + | 0.244988i | ||||
\(245\) | −6.88830 | − | 16.6298i | −0.440077 | − | 1.06244i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.65685 | + | 5.65685i | 0.359937 | + | 0.359937i | ||||
\(248\) | −4.59220 | − | 11.0866i | −0.291605 | − | 0.703997i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.59220 | − | 11.0866i | 0.290436 | − | 0.701175i | ||||
\(251\) | 12.0000i | 0.757433i | 0.925513 | + | 0.378717i | \(0.123635\pi\) | ||||
−0.925513 | + | 0.378717i | \(0.876365\pi\) | |||||||
\(252\) | 11.0866 | + | 4.59220i | 0.698387 | + | 0.289281i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 8.00000 | 0.501965 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −17.0000 | −1.06250 | ||||||||
\(257\) | 12.7279 | − | 12.7279i | 0.793946 | − | 0.793946i | −0.188187 | − | 0.982133i | \(-0.560261\pi\) |
0.982133 | + | 0.188187i | \(0.0602612\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.00000i | 0.497096i | ||||||||
\(260\) | −1.53073 | + | 3.69552i | −0.0949321 | + | 0.229186i | ||||
\(261\) | 16.6298 | − | 6.88830i | 1.02936 | − | 0.426375i | ||||
\(262\) | −6.12293 | − | 14.7821i | −0.378276 | − | 0.913239i | ||||
\(263\) | 11.3137 | + | 11.3137i | 0.697633 | + | 0.697633i | 0.963899 | − | 0.266266i | \(-0.0857901\pi\) |
−0.266266 | + | 0.963899i | \(0.585790\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.59220 | + | 11.0866i | 0.282097 | + | 0.681042i | ||||
\(266\) | 14.7821 | − | 6.12293i | 0.906347 | − | 0.375421i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | − | 4.00000i | − | 0.244339i | ||||||
\(269\) | 20.3253 | + | 8.41904i | 1.23926 | + | 0.513318i | 0.903483 | − | 0.428624i | \(-0.141002\pi\) |
0.335776 | + | 0.941942i | \(0.391002\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.0000 | 0.971931 | 0.485965 | − | 0.873978i | \(-0.338468\pi\) | ||||
0.485965 | + | 0.873978i | \(0.338468\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.24264 | − | 4.24264i | 0.256307 | − | 0.256307i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.35757 | − | 12.9343i | 0.321905 | − | 0.777148i | −0.677238 | − | 0.735764i | \(-0.736823\pi\) |
0.999143 | − | 0.0413838i | \(-0.0131766\pi\) | |||||||
\(278\) | −7.39104 | + | 3.06147i | −0.443285 | + | 0.183615i | ||||
\(279\) | −4.59220 | − | 11.0866i | −0.274928 | − | 0.663735i | ||||
\(280\) | 16.9706 | + | 16.9706i | 1.01419 | + | 1.01419i | ||||
\(281\) | −4.24264 | − | 4.24264i | −0.253095 | − | 0.253095i | 0.569143 | − | 0.822238i | \(-0.307275\pi\) |
−0.822238 | + | 0.569143i | \(0.807275\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.7821 | + | 6.12293i | −0.878703 | + | 0.363971i | −0.775994 | − | 0.630741i | \(-0.782751\pi\) |
−0.102709 | + | 0.994711i | \(0.532751\pi\) | |||||||
\(284\) | −1.53073 | + | 3.69552i | −0.0908323 | + | 0.219289i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.9706 | − | 16.9706i | 1.00174 | − | 1.00174i | ||||
\(288\) | −15.0000 | −0.883883 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | 12.0000 | 0.704664 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.54328 | − | 2.29610i | −0.324396 | − | 0.134369i | ||||
\(293\) | − | 6.00000i | − | 0.350524i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −22.1731 | + | 9.18440i | −1.29097 | + | 0.534737i | ||||
\(296\) | −2.29610 | − | 5.54328i | −0.133458 | − | 0.322196i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.07107 | + | 7.07107i | 0.409616 | + | 0.409616i | ||||
\(299\) | 3.06147 | + | 7.39104i | 0.177049 | + | 0.427435i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.12293 | + | 14.7821i | −0.352920 | + | 0.852024i | ||||
\(302\) | 16.0000i | 0.920697i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.82843 | + | 2.82843i | −0.162221 | + | 0.162221i | ||||
\(305\) | −20.0000 | −1.14520 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.0000 | −0.684876 | −0.342438 | − | 0.939540i | \(-0.611253\pi\) | ||||
−0.342438 | + | 0.939540i | \(0.611253\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | − | 8.00000i | − | 0.454369i | ||||||
\(311\) | 10.7151 | − | 25.8686i | 0.607600 | − | 1.46688i | −0.258003 | − | 0.966144i | \(-0.583065\pi\) |
0.865603 | − | 0.500731i | \(-0.166935\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.41904 | − | 20.3253i | −0.475872 | − | 1.14886i | −0.961528 | − | 0.274707i | \(-0.911419\pi\) |
0.485656 | − | 0.874150i | \(-0.338581\pi\) | |||||||
\(314\) | −1.41421 | − | 1.41421i | −0.0798087 | − | 0.0798087i | ||||
\(315\) | 16.9706 | + | 16.9706i | 0.956183 | + | 0.956183i | ||||
\(316\) | 4.59220 | + | 11.0866i | 0.258331 | + | 0.623667i | ||||
\(317\) | −9.23880 | + | 3.82683i | −0.518902 | + | 0.214936i | −0.626735 | − | 0.779233i | \(-0.715609\pi\) |
0.107832 | + | 0.994169i | \(0.465609\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −12.9343 | − | 5.35757i | −0.723050 | − | 0.299497i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.0000 | 0.891645 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −9.00000 | −0.500000 | ||||||||
\(325\) | 1.41421 | − | 1.41421i | 0.0784465 | − | 0.0784465i | ||||
\(326\) | 22.1731 | + | 9.18440i | 1.22805 | + | 0.508677i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.88830 | + | 16.6298i | −0.380343 | + | 0.918229i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.82843 | − | 2.82843i | −0.155464 | − | 0.155464i | 0.625089 | − | 0.780553i | \(-0.285063\pi\) |
−0.780553 | + | 0.625089i | \(0.785063\pi\) | |||||||
\(332\) | 2.82843 | + | 2.82843i | 0.155230 | + | 0.155230i | ||||
\(333\) | −2.29610 | − | 5.54328i | −0.125826 | − | 0.303770i | ||||
\(334\) | 3.69552 | − | 1.53073i | 0.202210 | − | 0.0837580i | ||||
\(335\) | 3.06147 | − | 7.39104i | 0.167266 | − | 0.403815i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.9343 | − | 5.35757i | −0.704577 | − | 0.291845i | 0.00148149 | − | 0.999999i | \(-0.499528\pi\) |
−0.706058 | + | 0.708154i | \(0.749528\pi\) | |||||||
\(338\) | −6.36396 | + | 6.36396i | −0.346154 | + | 0.346154i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −8.48528 | + | 8.48528i | −0.458831 | + | 0.458831i | ||||
\(343\) | −7.39104 | − | 3.06147i | −0.399078 | − | 0.165304i | ||||
\(344\) | − | 12.0000i | − | 0.646997i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 20.3253 | − | 8.41904i | 1.09270 | − | 0.452610i | ||||
\(347\) | 12.2459 | + | 29.5641i | 0.657393 | + | 1.58709i | 0.801816 | + | 0.597571i | \(0.203867\pi\) |
−0.144424 | + | 0.989516i | \(0.546133\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.7279 | − | 12.7279i | −0.681310 | − | 0.681310i | 0.278985 | − | 0.960295i | \(-0.410002\pi\) |
−0.960295 | + | 0.278985i | \(0.910002\pi\) | |||||||
\(350\) | −1.53073 | − | 3.69552i | −0.0818212 | − | 0.197534i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 30.0000i | − | 1.59674i | −0.602168 | − | 0.798369i | \(-0.705696\pi\) | ||
0.602168 | − | 0.798369i | \(-0.294304\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.65685 | + | 5.65685i | −0.300235 | + | 0.300235i | ||||
\(356\) | 10.0000 | 0.529999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.0000 | −0.634220 | ||||||||
\(359\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(360\) | −16.6298 | − | 6.88830i | −0.876469 | − | 0.363045i | ||||
\(361\) | 3.00000i | 0.157895i | ||||||||
\(362\) | 0.765367 | − | 1.84776i | 0.0402268 | − | 0.0971161i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.06147 | + | 7.39104i | 0.160464 | + | 0.387396i | ||||
\(365\) | −8.48528 | − | 8.48528i | −0.444140 | − | 0.444140i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.7151 | − | 25.8686i | −0.559326 | − | 1.35033i | −0.910301 | − | 0.413947i | \(-0.864150\pi\) |
0.350976 | − | 0.936385i | \(-0.385850\pi\) | |||||||
\(368\) | −3.69552 | + | 1.53073i | −0.192642 | + | 0.0797950i | ||||
\(369\) | −6.88830 | + | 16.6298i | −0.358591 | + | 0.865714i | ||||
\(370\) | − | 4.00000i | − | 0.207950i | ||||||
\(371\) | 22.1731 | + | 9.18440i | 1.15117 | + | 0.476830i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.00000 | −0.310668 | −0.155334 | − | 0.987862i | \(-0.549645\pi\) | ||||
−0.155334 | + | 0.987862i | \(0.549645\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.0866 | + | 4.59220i | 0.570987 | + | 0.236510i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.06147 | + | 7.39104i | −0.157257 | + | 0.379652i | −0.982796 | − | 0.184693i | \(-0.940871\pi\) |
0.825539 | + | 0.564345i | \(0.190871\pi\) | |||||||
\(380\) | 7.39104 | − | 3.06147i | 0.379152 | − | 0.157050i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.3137 | − | 11.3137i | −0.578860 | − | 0.578860i | ||||
\(383\) | −16.9706 | − | 16.9706i | −0.867155 | − | 0.867155i | 0.125001 | − | 0.992157i | \(-0.460106\pi\) |
−0.992157 | + | 0.125001i | \(0.960106\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.765367 | − | 1.84776i | 0.0389561 | − | 0.0940485i | ||||
\(387\) | − | 12.0000i | − | 0.609994i | ||||||
\(388\) | −1.84776 | − | 0.765367i | −0.0938058 | − | 0.0388556i | ||||
\(389\) | −4.24264 | + | 4.24264i | −0.215110 | + | 0.215110i | −0.806434 | − | 0.591324i | \(-0.798606\pi\) |
0.591324 | + | 0.806434i | \(0.298606\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 27.0000 | 1.36371 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.6298 | − | 6.88830i | −0.837799 | − | 0.347028i | ||||
\(395\) | 24.0000i | 1.20757i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.54328 | + | 2.29610i | −0.278209 | + | 0.115238i | −0.517425 | − | 0.855728i | \(-0.673110\pi\) |
0.239216 | + | 0.970966i | \(0.423110\pi\) | |||||||
\(398\) | 7.65367 | + | 18.4776i | 0.383644 | + | 0.926198i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.707107 | + | 0.707107i | 0.0353553 | + | 0.0353553i | ||||
\(401\) | 5.35757 | + | 12.9343i | 0.267544 | + | 0.645909i | 0.999367 | − | 0.0355866i | \(-0.0113300\pi\) |
−0.731822 | + | 0.681495i | \(0.761330\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.06147 | − | 7.39104i | 0.152503 | − | 0.368174i | ||||
\(404\) | 10.0000i | 0.497519i | ||||||||
\(405\) | −16.6298 | − | 6.88830i | −0.826343 | − | 0.342282i | ||||
\(406\) | 16.9706 | − | 16.9706i | 0.842235 | − | 0.842235i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.0000 | 1.28562 | 0.642809 | − | 0.766027i | \(-0.277769\pi\) | ||||
0.642809 | + | 0.766027i | \(0.277769\pi\) | |||||||
\(410\) | −8.48528 | + | 8.48528i | −0.419058 | + | 0.419058i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 8.00000i | 0.394132i | ||||||||
\(413\) | −18.3688 | + | 44.3462i | −0.903870 | + | 2.18213i | ||||
\(414\) | −11.0866 | + | 4.59220i | −0.544874 | + | 0.225694i | ||||
\(415\) | 3.06147 | + | 7.39104i | 0.150282 | + | 0.362812i | ||||
\(416\) | −7.07107 | − | 7.07107i | −0.346688 | − | 0.346688i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7.39104 | − | 3.06147i | 0.361076 | − | 0.149562i | −0.194768 | − | 0.980849i | \(-0.562395\pi\) |
0.555844 | + | 0.831287i | \(0.312395\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.0000i | 1.07221i | 0.844150 | + | 0.536107i | \(0.180106\pi\) | ||||
−0.844150 | + | 0.536107i | \(0.819894\pi\) | |||||||
\(422\) | −7.39104 | − | 3.06147i | −0.359790 | − | 0.149030i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −18.0000 | −0.874157 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −28.2843 | + | 28.2843i | −1.36877 | + | 1.36877i | ||||
\(428\) | 7.39104 | + | 3.06147i | 0.357259 | + | 0.147982i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.06147 | − | 7.39104i | 0.147637 | − | 0.356427i | ||||
\(431\) | −11.0866 | + | 4.59220i | −0.534021 | + | 0.221199i | −0.633363 | − | 0.773855i | \(-0.718326\pi\) |
0.0993426 | + | 0.995053i | \(0.468326\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.41421 | − | 1.41421i | −0.0679628 | − | 0.0679628i | 0.672308 | − | 0.740271i | \(-0.265303\pi\) |
−0.740271 | + | 0.672308i | \(0.765303\pi\) | |||||||
\(434\) | −11.3137 | − | 11.3137i | −0.543075 | − | 0.543075i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.54328 | + | 2.29610i | −0.265475 | + | 0.109963i | ||||
\(437\) | 6.12293 | − | 14.7821i | 0.292900 | − | 0.707122i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.4776 | − | 7.65367i | −0.881887 | − | 0.365290i | −0.104659 | − | 0.994508i | \(-0.533375\pi\) |
−0.777228 | + | 0.629219i | \(0.783375\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 27.0000 | 1.28571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 28.0000 | 1.33032 | 0.665160 | − | 0.746701i | \(-0.268363\pi\) | ||||
0.665160 | + | 0.746701i | \(0.268363\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.4776 | + | 7.65367i | 0.875922 | + | 0.362819i | ||||
\(446\) | 24.0000i | 1.13643i | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.8686 | + | 10.7151i | −1.22218 | + | 0.506243i | ||||
\(449\) | 13.0112 | + | 31.4119i | 0.614038 | + | 1.48242i | 0.858528 | + | 0.512767i | \(0.171380\pi\) |
−0.244489 | + | 0.969652i | \(0.578620\pi\) | |||||||
\(450\) | 2.12132 | + | 2.12132i | 0.100000 | + | 0.100000i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −5.35757 | − | 12.9343i | −0.251999 | − | 0.608379i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.18440 | + | 22.1731i | −0.431045 | + | 1.04064i | ||||
\(455\) | 16.0000i | 0.750092i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.24264 | − | 4.24264i | 0.198462 | − | 0.198462i | −0.600878 | − | 0.799341i | \(-0.705182\pi\) |
0.799341 | + | 0.600878i | \(0.205182\pi\) | |||||||
\(458\) | 6.00000 | 0.280362 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 8.00000 | 0.373002 | ||||||||
\(461\) | −1.41421 | + | 1.41421i | −0.0658665 | + | 0.0658665i | −0.739273 | − | 0.673406i | \(-0.764831\pi\) |
0.673406 | + | 0.739273i | \(0.264831\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 32.0000i | − | 1.48717i | −0.668644 | − | 0.743583i | \(-0.733125\pi\) | ||
0.668644 | − | 0.743583i | \(-0.266875\pi\) | |||||||
\(464\) | −2.29610 | + | 5.54328i | −0.106594 | + | 0.257340i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.29610 | + | 5.54328i | 0.106365 | + | 0.256787i | ||||
\(467\) | −8.48528 | − | 8.48528i | −0.392652 | − | 0.392652i | 0.482980 | − | 0.875632i | \(-0.339555\pi\) |
−0.875632 | + | 0.482980i | \(0.839555\pi\) | |||||||
\(468\) | −4.24264 | − | 4.24264i | −0.196116 | − | 0.196116i | ||||
\(469\) | −6.12293 | − | 14.7821i | −0.282731 | − | 0.682573i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 36.0000i | − | 1.65703i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.00000 | −0.183533 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.0000 | −0.824163 | ||||||||
\(478\) | 11.3137 | − | 11.3137i | 0.517477 | − | 0.517477i | ||||
\(479\) | −33.2597 | − | 13.7766i | −1.51967 | − | 0.629469i | −0.542147 | − | 0.840284i | \(-0.682388\pi\) |
−0.977526 | + | 0.210815i | \(0.932388\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.53073 | − | 3.69552i | 0.0697955 | − | 0.168501i | ||||
\(482\) | 16.6298 | − | 6.88830i | 0.757468 | − | 0.313754i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.77817 | − | 7.77817i | −0.353553 | − | 0.353553i | ||||
\(485\) | −2.82843 | − | 2.82843i | −0.128432 | − | 0.128432i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.4776 | − | 7.65367i | 0.837300 | − | 0.346821i | 0.0775113 | − | 0.996991i | \(-0.475303\pi\) |
0.759788 | + | 0.650171i | \(0.225303\pi\) | |||||||
\(488\) | 11.4805 | − | 27.7164i | 0.519698 | − | 1.25466i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.6298 | + | 6.88830i | 0.751259 | + | 0.311182i | ||||
\(491\) | −14.1421 | + | 14.1421i | −0.638226 | + | 0.638226i | −0.950118 | − | 0.311892i | \(-0.899037\pi\) |
0.311892 | + | 0.950118i | \(0.399037\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −8.00000 | −0.359937 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.69552 | + | 1.53073i | 0.165934 | + | 0.0687320i | ||||
\(497\) | 16.0000i | 0.717698i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 36.9552 | − | 15.3073i | 1.65434 | − | 0.685251i | 0.656717 | − | 0.754137i | \(-0.271945\pi\) |
0.997624 | + | 0.0688869i | \(0.0219448\pi\) | |||||||
\(500\) | −4.59220 | − | 11.0866i | −0.205369 | − | 0.495806i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.48528 | − | 8.48528i | −0.378717 | − | 0.378717i | ||||
\(503\) | 4.59220 | + | 11.0866i | 0.204756 | + | 0.494325i | 0.992583 | − | 0.121572i | \(-0.0387936\pi\) |
−0.787826 | + | 0.615897i | \(0.788794\pi\) | |||||||
\(504\) | −33.2597 | + | 13.7766i | −1.48150 | + | 0.613659i | ||||
\(505\) | −7.65367 | + | 18.4776i | −0.340584 | + | 0.822242i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.65685 | − | 5.65685i | 0.250982 | − | 0.250982i | ||||
\(509\) | 2.00000 | 0.0886484 | 0.0443242 | − | 0.999017i | \(-0.485887\pi\) | ||||
0.0443242 | + | 0.999017i | \(0.485887\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.0000 | −1.06170 | ||||||||
\(512\) | 7.77817 | − | 7.77817i | 0.343750 | − | 0.343750i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 18.0000i | 0.793946i | ||||||||
\(515\) | −6.12293 | + | 14.7821i | −0.269809 | + | 0.651376i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −5.65685 | − | 5.65685i | −0.248548 | − | 0.248548i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.59220 | − | 11.0866i | −0.201381 | − | 0.486178i | ||||
\(521\) | 24.0209 | − | 9.94977i | 1.05237 | − | 0.435907i | 0.211635 | − | 0.977349i | \(-0.432121\pi\) |
0.840738 | + | 0.541441i | \(0.182121\pi\) | |||||||
\(522\) | −6.88830 | + | 16.6298i | −0.301493 | + | 0.727868i | ||||
\(523\) | − | 36.0000i | − | 1.57417i | −0.616844 | − | 0.787085i | \(-0.711589\pi\) | ||
0.616844 | − | 0.787085i | \(-0.288411\pi\) | |||||||
\(524\) | −14.7821 | − | 6.12293i | −0.645758 | − | 0.267482i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.0000 | −0.697633 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.94975 | + | 4.94975i | −0.215206 | + | 0.215206i | ||||
\(530\) | −11.0866 | − | 4.59220i | −0.481569 | − | 0.199472i | ||||
\(531\) | − | 36.0000i | − | 1.56227i | ||||||
\(532\) | 6.12293 | − | 14.7821i | 0.265463 | − | 0.640884i | ||||
\(533\) | −11.0866 | + | 4.59220i | −0.480212 | + | 0.198910i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.3137 | + | 11.3137i | 0.489134 | + | 0.489134i | ||||
\(536\) | 8.48528 | + | 8.48528i | 0.366508 | + | 0.366508i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −20.3253 | + | 8.41904i | −0.876288 | + | 0.362970i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.54328 | + | 2.29610i | 0.238324 | + | 0.0987171i | 0.498649 | − | 0.866804i | \(-0.333830\pi\) |
−0.260325 | + | 0.965521i | \(0.583830\pi\) | |||||||
\(542\) | −11.3137 | + | 11.3137i | −0.485965 | + | 0.485965i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −12.0000 | −0.514024 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.5641 | + | 12.2459i | 1.26407 | + | 0.523596i | 0.911157 | − | 0.412060i | \(-0.135191\pi\) |
0.352915 | + | 0.935655i | \(0.385191\pi\) | |||||||
\(548\) | − | 6.00000i | − | 0.256307i | ||||||
\(549\) | 11.4805 | − | 27.7164i | 0.489976 | − | 1.18291i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.18440 | − | 22.1731i | −0.391269 | − | 0.944606i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 33.9411 | + | 33.9411i | 1.44332 | + | 1.44332i | ||||
\(554\) | 5.35757 | + | 12.9343i | 0.227621 | + | 0.549526i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.06147 | + | 7.39104i | −0.129835 | + | 0.313450i | ||||
\(557\) | 30.0000i | 1.27114i | 0.772043 | + | 0.635570i | \(0.219235\pi\) | ||||
−0.772043 | + | 0.635570i | \(0.780765\pi\) | |||||||
\(558\) | 11.0866 | + | 4.59220i | 0.469331 | + | 0.194403i | ||||
\(559\) | 5.65685 | − | 5.65685i | 0.239259 | − | 0.239259i | ||||
\(560\) | −8.00000 | −0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00000 | 0.253095 | ||||||||
\(563\) | −2.82843 | + | 2.82843i | −0.119204 | + | 0.119204i | −0.764192 | − | 0.644988i | \(-0.776862\pi\) |
0.644988 | + | 0.764192i | \(0.276862\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 28.0000i | − | 1.17797i | ||||||
\(566\) | 6.12293 | − | 14.7821i | 0.257366 | − | 0.621337i | ||||
\(567\) | −33.2597 | + | 13.7766i | −1.39677 | + | 0.578563i | ||||
\(568\) | −4.59220 | − | 11.0866i | −0.192684 | − | 0.465181i | ||||
\(569\) | 26.8701 | + | 26.8701i | 1.12645 | + | 1.12645i | 0.990750 | + | 0.135702i | \(0.0433289\pi\) |
0.135702 | + | 0.990750i | \(0.456671\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.2459 | + | 29.5641i | 0.512474 | + | 1.23722i | 0.942440 | + | 0.334376i | \(0.108526\pi\) |
−0.429966 | + | 0.902845i | \(0.641474\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 24.0000i | 1.00174i | ||||||||
\(575\) | −3.69552 | − | 1.53073i | −0.154114 | − | 0.0638360i | ||||
\(576\) | 14.8492 | − | 14.8492i | 0.618718 | − | 0.618718i | ||||
\(577\) | 14.0000 | 0.582828 | 0.291414 | − | 0.956597i | \(-0.405874\pi\) | ||||
0.291414 | + | 0.956597i | \(0.405874\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.48528 | − | 8.48528i | 0.352332 | − | 0.352332i | ||||
\(581\) | 14.7821 | + | 6.12293i | 0.613264 | + | 0.254022i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 16.6298 | − | 6.88830i | 0.688147 | − | 0.285040i | ||||
\(585\) | −4.59220 | − | 11.0866i | −0.189864 | − | 0.458373i | ||||
\(586\) | 4.24264 | + | 4.24264i | 0.175262 | + | 0.175262i | ||||
\(587\) | 2.82843 | + | 2.82843i | 0.116742 | + | 0.116742i | 0.763064 | − | 0.646323i | \(-0.223694\pi\) |
−0.646323 | + | 0.763064i | \(0.723694\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −14.7821 | + | 6.12293i | −0.609085 | + | 0.252291i | ||||
\(590\) | 9.18440 | − | 22.1731i | 0.378116 | − | 0.912852i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.84776 | + | 0.765367i | 0.0759424 | + | 0.0314564i | ||||
\(593\) | −12.7279 | + | 12.7279i | −0.522673 | + | 0.522673i | −0.918378 | − | 0.395705i | \(-0.870500\pi\) |
0.395705 | + | 0.918378i | \(0.370500\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.0000 | 0.409616 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.39104 | − | 3.06147i | −0.302242 | − | 0.125193i | ||||
\(599\) | 24.0000i | 0.980613i | 0.871550 | + | 0.490307i | \(0.163115\pi\) | ||||
−0.871550 | + | 0.490307i | \(0.836885\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.23880 | + | 3.82683i | −0.376858 | + | 0.156100i | −0.563069 | − | 0.826410i | \(-0.690379\pi\) |
0.186210 | + | 0.982510i | \(0.440379\pi\) | |||||||
\(602\) | −6.12293 | − | 14.7821i | −0.249552 | − | 0.602472i | ||||
\(603\) | 8.48528 | + | 8.48528i | 0.345547 | + | 0.345547i | ||||
\(604\) | 11.3137 | + | 11.3137i | 0.460348 | + | 0.460348i | ||||
\(605\) | −8.41904 | − | 20.3253i | −0.342282 | − | 0.826343i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.65367 | + | 18.4776i | −0.310653 | + | 0.749982i | 0.689028 | + | 0.724734i | \(0.258038\pi\) |
−0.999681 | + | 0.0252479i | \(0.991962\pi\) | |||||||
\(608\) | 20.0000i | 0.811107i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.1421 | − | 14.1421i | 0.572598 | − | 0.572598i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.0000 | −1.05013 | −0.525065 | − | 0.851062i | \(-0.675959\pi\) | ||||
−0.525065 | + | 0.851062i | \(0.675959\pi\) | |||||||
\(614\) | 8.48528 | − | 8.48528i | 0.342438 | − | 0.342438i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.29610 | + | 5.54328i | −0.0924375 | + | 0.223164i | −0.963335 | − | 0.268300i | \(-0.913538\pi\) |
0.870898 | + | 0.491464i | \(0.163538\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.3688 | − | 44.3462i | −0.738305 | − | 1.78242i | −0.612655 | − | 0.790350i | \(-0.709899\pi\) |
−0.125649 | − | 0.992075i | \(-0.540101\pi\) | |||||||
\(620\) | −5.65685 | − | 5.65685i | −0.227185 | − | 0.227185i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.7151 | + | 25.8686i | 0.429638 | + | 1.03724i | ||||
\(623\) | 36.9552 | − | 15.3073i | 1.48058 | − | 0.613276i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 19.0000i | − | 0.760000i | ||||||
\(626\) | 20.3253 | + | 8.41904i | 0.812364 | + | 0.336492i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.00000 | −0.0798087 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −24.0000 | −0.956183 | ||||||||
\(631\) | 11.3137 | − | 11.3137i | 0.450392 | − | 0.450392i | −0.445093 | − | 0.895484i | \(-0.646829\pi\) |
0.895484 | + | 0.445093i | \(0.146829\pi\) | |||||||
\(632\) | −33.2597 | − | 13.7766i | −1.32300 | − | 0.548004i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.82683 | − | 9.23880i | 0.151983 | − | 0.366919i | ||||
\(635\) | 14.7821 | − | 6.12293i | 0.586609 | − | 0.242981i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.7279 | + | 12.7279i | 0.504299 | + | 0.504299i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.59220 | − | 11.0866i | −0.181665 | − | 0.438577i | ||||
\(640\) | −5.54328 | + | 2.29610i | −0.219117 | + | 0.0907613i | ||||
\(641\) | 11.4805 | − | 27.7164i | 0.453453 | − | 1.09473i | −0.517548 | − | 0.855654i | \(-0.673155\pi\) |
0.971001 | − | 0.239077i | \(-0.0768449\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.5641 | + | 12.2459i | 1.16590 | + | 0.482930i | 0.879834 | − | 0.475281i | \(-0.157654\pi\) |
0.286062 | + | 0.958211i | \(0.407654\pi\) | |||||||
\(644\) | 11.3137 | − | 11.3137i | 0.445823 | − | 0.445823i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.00000 | 0.314512 | 0.157256 | − | 0.987558i | \(-0.449735\pi\) | ||||
0.157256 | + | 0.987558i | \(0.449735\pi\) | |||||||
\(648\) | 19.0919 | − | 19.0919i | 0.750000 | − | 0.750000i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 2.00000i | 0.0784465i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22.1731 | − | 9.18440i | 0.868366 | − | 0.359689i | ||||
\(653\) | 2.29610 | + | 5.54328i | 0.0898534 | + | 0.216925i | 0.962417 | − | 0.271575i | \(-0.0875443\pi\) |
−0.872564 | + | 0.488500i | \(0.837544\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.6274 | − | 22.6274i | −0.884126 | − | 0.884126i | ||||
\(656\) | −2.29610 | − | 5.54328i | −0.0896477 | − | 0.216429i | ||||
\(657\) | 16.6298 | − | 6.88830i | 0.648792 | − | 0.268738i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.00000i | 0.155818i | 0.996960 | + | 0.0779089i | \(0.0248243\pi\) | ||||
−0.996960 | + | 0.0779089i | \(0.975176\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.8701 | + | 26.8701i | −1.04512 | + | 1.04512i | −0.0461915 | + | 0.998933i | \(0.514708\pi\) |
−0.998933 | + | 0.0461915i | \(0.985292\pi\) | |||||||
\(662\) | 4.00000 | 0.155464 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 22.6274 | − | 22.6274i | 0.877454 | − | 0.877454i | ||||
\(666\) | 5.54328 | + | 2.29610i | 0.214798 | + | 0.0889721i | ||||
\(667\) | − | 24.0000i | − | 0.929284i | ||||||
\(668\) | 1.53073 | − | 3.69552i | 0.0592259 | − | 0.142984i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.06147 | + | 7.39104i | 0.118275 | + | 0.285541i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.765367 | − | 1.84776i | −0.0295027 | − | 0.0712259i | 0.908442 | − | 0.418012i | \(-0.137273\pi\) |
−0.937944 | + | 0.346786i | \(0.887273\pi\) | |||||||
\(674\) | 12.9343 | − | 5.35757i | 0.498211 | − | 0.206366i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.00000i | 0.346154i | ||||||||
\(677\) | 27.7164 | + | 11.4805i | 1.06523 | + | 0.441232i | 0.845304 | − | 0.534286i | \(-0.179419\pi\) |
0.219923 | + | 0.975517i | \(0.429419\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.00000 | −0.307012 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 36.9552 | + | 15.3073i | 1.41405 | + | 0.585719i | 0.953358 | − | 0.301841i | \(-0.0976011\pi\) |
0.460692 | + | 0.887560i | \(0.347601\pi\) | |||||||
\(684\) | 12.0000i | 0.458831i | ||||||||
\(685\) | 4.59220 | − | 11.0866i | 0.175459 | − | 0.423595i | ||||
\(686\) | 7.39104 | − | 3.06147i | 0.282191 | − | 0.116887i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.82843 | + | 2.82843i | 0.107833 | + | 0.107833i | ||||
\(689\) | −8.48528 | − | 8.48528i | −0.323263 | − | 0.323263i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.39104 | + | 3.06147i | −0.281168 | + | 0.116464i | −0.518811 | − | 0.854889i | \(-0.673625\pi\) |
0.237643 | + | 0.971353i | \(0.423625\pi\) | |||||||
\(692\) | 8.41904 | − | 20.3253i | 0.320044 | − | 0.772654i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.5641 | − | 12.2459i | −1.12224 | − | 0.464847i | ||||
\(695\) | −11.3137 | + | 11.3137i | −0.429153 | + | 0.429153i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 18.0000 | 0.681310 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.69552 | − | 1.53073i | −0.139677 | − | 0.0578563i | ||||
\(701\) | 18.0000i | 0.679851i | 0.940452 | + | 0.339925i | \(0.110402\pi\) | ||||
−0.940452 | + | 0.339925i | \(0.889598\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.39104 | + | 3.06147i | −0.278758 | + | 0.115465i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.2132 | + | 21.2132i | 0.798369 | + | 0.798369i | ||||
\(707\) | 15.3073 | + | 36.9552i | 0.575692 | + | 1.38984i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.0112 | − | 31.4119i | 0.488647 | − | 1.17970i | −0.466754 | − | 0.884387i | \(-0.654577\pi\) |
0.955401 | − | 0.295312i | \(-0.0954234\pi\) | |||||||
\(710\) | − | 8.00000i | − | 0.300235i | ||||||
\(711\) | −33.2597 | − | 13.7766i | −1.24733 | − | 0.516663i | ||||
\(712\) | −21.2132 | + | 21.2132i | −0.794998 | + | 0.794998i | ||||
\(713\) | −16.0000 | −0.599205 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −8.48528 | + | 8.48528i | −0.317110 | + | 0.317110i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.53073 | − | 3.69552i | 0.0570867 | − | 0.137820i | −0.892763 | − | 0.450527i | \(-0.851236\pi\) |
0.949849 | + | 0.312708i | \(0.101236\pi\) | |||||||
\(720\) | 5.54328 | − | 2.29610i | 0.206586 | − | 0.0855706i | ||||
\(721\) | 12.2459 | + | 29.5641i | 0.456060 | + | 1.10103i | ||||
\(722\) | −2.12132 | − | 2.12132i | −0.0789474 | − | 0.0789474i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.765367 | − | 1.84776i | −0.0284446 | − | 0.0686714i | ||||
\(725\) | −5.54328 | + | 2.29610i | −0.205872 | + | 0.0852750i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 40.0000i | 1.48352i | 0.670667 | + | 0.741759i | \(0.266008\pi\) | ||||
−0.670667 | + | 0.741759i | \(0.733992\pi\) | |||||||
\(728\) | −22.1731 | − | 9.18440i | −0.821790 | − | 0.340397i | ||||
\(729\) | 19.0919 | − | 19.0919i | 0.707107 | − | 0.707107i | ||||
\(730\) | 12.0000 | 0.444140 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.3553 | + | 35.3553i | −1.30588 | + | 1.30588i | −0.381518 | + | 0.924362i | \(0.624598\pi\) |
−0.924362 | + | 0.381518i | \(0.875402\pi\) | |||||||
\(734\) | 25.8686 | + | 10.7151i | 0.954828 | + | 0.395503i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.65367 | + | 18.4776i | −0.282118 | + | 0.681093i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −6.88830 | − | 16.6298i | −0.253562 | − | 0.612153i | ||||
\(739\) | −19.7990 | − | 19.7990i | −0.728318 | − | 0.728318i | 0.241967 | − | 0.970285i | \(-0.422207\pi\) |
−0.970285 | + | 0.241967i | \(0.922207\pi\) | |||||||
\(740\) | −2.82843 | − | 2.82843i | −0.103975 | − | 0.103975i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −22.1731 | + | 9.18440i | −0.814000 | + | 0.337170i | ||||
\(743\) | −4.59220 | + | 11.0866i | −0.168472 | + | 0.406726i | −0.985455 | − | 0.169934i | \(-0.945644\pi\) |
0.816984 | + | 0.576661i | \(0.195644\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.4776 | + | 7.65367i | 0.676967 | + | 0.280409i | ||||
\(746\) | 4.24264 | − | 4.24264i | 0.155334 | − | 0.155334i | ||||
\(747\) | −12.0000 | −0.439057 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 32.0000 | 1.16925 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.4776 | − | 7.65367i | −0.674257 | − | 0.279286i | 0.0191669 | − | 0.999816i | \(-0.493899\pi\) |
−0.693424 | + | 0.720530i | \(0.743899\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.0866 | + | 4.59220i | −0.403748 | + | 0.167238i | ||||
\(755\) | 12.2459 | + | 29.5641i | 0.445673 | + | 1.07595i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.5563 | + | 15.5563i | 0.565405 | + | 0.565405i | 0.930838 | − | 0.365433i | \(-0.119079\pi\) |
−0.365433 | + | 0.930838i | \(0.619079\pi\) | |||||||
\(758\) | −3.06147 | − | 7.39104i | −0.111198 | − | 0.268455i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.18440 | + | 22.1731i | −0.333153 | + | 0.804303i | ||||
\(761\) | − | 22.0000i | − | 0.797499i | −0.917060 | − | 0.398750i | \(-0.869444\pi\) | ||
0.917060 | − | 0.398750i | \(-0.130556\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.9706 | + | 16.9706i | −0.614376 | + | 0.614376i | ||||
\(764\) | −16.0000 | −0.578860 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 24.0000 | 0.867155 | ||||||||
\(767\) | 16.9706 | − | 16.9706i | 0.612772 | − | 0.612772i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.0000i | 0.504853i | 0.967616 | + | 0.252426i | \(0.0812286\pi\) | ||||
−0.967616 | + | 0.252426i | \(0.918771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.765367 | − | 1.84776i | −0.0275462 | − | 0.0665023i | ||||
\(773\) | 18.3848 | + | 18.3848i | 0.661254 | + | 0.661254i | 0.955676 | − | 0.294421i | \(-0.0951269\pi\) |
−0.294421 | + | 0.955676i | \(0.595127\pi\) | |||||||
\(774\) | 8.48528 | + | 8.48528i | 0.304997 | + | 0.304997i | ||||
\(775\) | 1.53073 | + | 3.69552i | 0.0549856 | + | 0.132747i | ||||
\(776\) | 5.54328 | − | 2.29610i | 0.198992 | − | 0.0824252i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 6.00000i | − | 0.215110i | ||||||
\(779\) | 22.1731 | + | 9.18440i | 0.794434 | + | 0.329065i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.36396 | + | 6.36396i | −0.227284 | + | 0.227284i | ||||
\(785\) | −3.69552 | − | 1.53073i | −0.131899 | − | 0.0546342i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.2459 | + | 29.5641i | −0.436518 | + | 1.05385i | 0.540625 | + | 0.841264i | \(0.318188\pi\) |
−0.977143 | + | 0.212584i | \(0.931812\pi\) | |||||||
\(788\) | −16.6298 | + | 6.88830i | −0.592413 | + | 0.245386i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −16.9706 | − | 16.9706i | −0.603786 | − | 0.603786i | ||||
\(791\) | −39.5980 | − | 39.5980i | −1.40794 | − | 1.40794i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.4776 | − | 7.65367i | 0.656158 | − | 0.271790i | ||||
\(794\) | 2.29610 | − | 5.54328i | 0.0814856 | − | 0.196724i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 18.4776 | + | 7.65367i | 0.654921 | + | 0.271277i | ||||
\(797\) | 35.3553 | − | 35.3553i | 1.25235 | − | 1.25235i | 0.297687 | − | 0.954664i | \(-0.403785\pi\) |
0.954664 | − | 0.297687i | \(-0.0962151\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 5.00000 | 0.176777 | ||||||||
\(801\) | −21.2132 | + | 21.2132i | −0.749532 | + | 0.749532i | ||||
\(802\) | −12.9343 | − | 5.35757i | −0.456726 | − | 0.189182i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 29.5641 | − | 12.2459i | 1.04200 | − | 0.431610i | ||||
\(806\) | 3.06147 | + | 7.39104i | 0.107836 | + | 0.260338i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −21.2132 | − | 21.2132i | −0.746278 | − | 0.746278i | ||||
\(809\) | −9.94977 | − | 24.0209i | −0.349815 | − | 0.844529i | −0.996641 | − | 0.0818911i | \(-0.973904\pi\) |
0.646826 | − | 0.762638i | \(-0.276096\pi\) | |||||||
\(810\) | 16.6298 | − | 6.88830i | 0.584313 | − | 0.242030i | ||||
\(811\) | −15.3073 | + | 36.9552i | −0.537513 | + | 1.29767i | 0.388940 | + | 0.921263i | \(0.372841\pi\) |
−0.926454 | + | 0.376409i | \(0.877159\pi\) | |||||||
\(812\) | − | 24.0000i | − | 0.842235i | ||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 48.0000 | 1.68137 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16.0000 | −0.559769 | ||||||||
\(818\) | −18.3848 | + | 18.3848i | −0.642809 | + | 0.642809i | ||||
\(819\) | −22.1731 | − | 9.18440i | −0.774791 | − | 0.320929i | ||||
\(820\) | 12.0000i | 0.419058i | ||||||||
\(821\) | −6.88830 | + | 16.6298i | −0.240403 | + | 0.580385i | −0.997323 | − | 0.0731230i | \(-0.976703\pi\) |
0.756920 | + | 0.653508i | \(0.226703\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.65367 | + | 18.4776i | 0.266790 | + | 0.644088i | 0.999329 | − | 0.0366373i | \(-0.0116646\pi\) |
−0.732539 | + | 0.680726i | \(0.761665\pi\) | |||||||
\(824\) | −16.9706 | − | 16.9706i | −0.591198 | − | 0.591198i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.3688 | − | 44.3462i | −0.639132 | − | 1.54300i | ||||
\(827\) | −44.3462 | + | 18.3688i | −1.54207 | + | 0.638746i | −0.981860 | − | 0.189606i | \(-0.939279\pi\) |
−0.560209 | + | 0.828351i | \(0.689279\pi\) | |||||||
\(828\) | −4.59220 | + | 11.0866i | −0.159590 | + | 0.385284i | ||||
\(829\) | − | 34.0000i | − | 1.18087i | −0.807086 | − | 0.590434i | \(-0.798956\pi\) | ||
0.807086 | − | 0.590434i | \(-0.201044\pi\) | |||||||
\(830\) | −7.39104 | − | 3.06147i | −0.256547 | − | 0.106265i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 14.0000 | 0.485363 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.65685 | − | 5.65685i | 0.195764 | − | 0.195764i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.06147 | + | 7.39104i | −0.105757 | + | 0.255319i | ||||
\(839\) | −18.4776 | + | 7.65367i | −0.637917 | + | 0.264234i | −0.678113 | − | 0.734958i | \(-0.737202\pi\) |
0.0401955 | + | 0.999192i | \(0.487202\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.94975 | − | 4.94975i | −0.170681 | − | 0.170681i | ||||
\(842\) | −15.5563 | − | 15.5563i | −0.536107 | − | 0.536107i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.39104 | + | 3.06147i | −0.254410 | + | 0.105380i | ||||
\(845\) | −6.88830 | + | 16.6298i | −0.236965 | + | 0.572084i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −40.6507 | − | 16.8381i | −1.39677 | − | 0.578563i | ||||
\(848\) | 4.24264 | − | 4.24264i | 0.145693 | − | 0.145693i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.00000 | −0.274236 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.9343 | − | 5.35757i | −0.442862 | − | 0.183440i | 0.150098 | − | 0.988671i | \(-0.452041\pi\) |
−0.592961 | + | 0.805231i | \(0.702041\pi\) | |||||||
\(854\) | − | 40.0000i | − | 1.36877i | ||||||
\(855\) | −9.18440 | + | 22.1731i | −0.314100 | + | 0.758304i | ||||
\(856\) | −22.1731 | + | 9.18440i | −0.757861 | + | 0.313916i | ||||
\(857\) | 3.82683 | + | 9.23880i | 0.130722 | + | 0.315591i | 0.975665 | − | 0.219265i | \(-0.0703659\pi\) |
−0.844943 | + | 0.534856i | \(0.820366\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 36.7696 | + | 36.7696i | 1.25456 | + | 1.25456i | 0.953653 | + | 0.300908i | \(0.0972896\pi\) |
0.300908 | + | 0.953653i | \(0.402710\pi\) | |||||||
\(860\) | −3.06147 | − | 7.39104i | −0.104395 | − | 0.252032i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.59220 | − | 11.0866i | 0.156411 | − | 0.377610i | ||||
\(863\) | 16.0000i | 0.544646i | 0.962206 | + | 0.272323i | \(0.0877920\pi\) | ||||
−0.962206 | + | 0.272323i | \(0.912208\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 31.1127 | − | 31.1127i | 1.05786 | − | 1.05786i | ||||
\(866\) | 2.00000 | 0.0679628 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −16.0000 | −0.543075 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.00000i | 0.271070i | ||||||||
\(872\) | 6.88830 | − | 16.6298i | 0.233267 | − | 0.563157i | ||||
\(873\) | 5.54328 | − | 2.29610i | 0.187612 | − | 0.0777112i | ||||
\(874\) | 6.12293 | + | 14.7821i | 0.207111 | + | 0.500011i | ||||
\(875\) | −33.9411 | − | 33.9411i | −1.14742 | − | 1.14742i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.29610 | − | 5.54328i | −0.0775338 | − | 0.187183i | 0.880360 | − | 0.474306i | \(-0.157301\pi\) |
−0.957894 | + | 0.287123i | \(0.907301\pi\) | |||||||
\(878\) | 18.4776 | − | 7.65367i | 0.623588 | − | 0.258299i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −42.4985 | − | 17.6034i | −1.43181 | − | 0.593075i | −0.474012 | − | 0.880518i | \(-0.657195\pi\) |
−0.957798 | + | 0.287444i | \(0.907195\pi\) | |||||||
\(882\) | −19.0919 | + | 19.0919i | −0.642857 | + | 0.642857i | ||||
\(883\) | 12.0000 | 0.403832 | 0.201916 | − | 0.979403i | \(-0.435283\pi\) | ||||
0.201916 | + | 0.979403i | \(0.435283\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −19.7990 | + | 19.7990i | −0.665160 | + | 0.665160i | ||||
\(887\) | −11.0866 | − | 4.59220i | −0.372250 | − | 0.154191i | 0.188712 | − | 0.982032i | \(-0.439569\pi\) |
−0.560962 | + | 0.827841i | \(0.689569\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.2459 | − | 29.5641i | 0.410713 | − | 0.991550i | ||||
\(890\) | −18.4776 | + | 7.65367i | −0.619370 | + | 0.256552i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 16.9706 | + | 16.9706i | 0.568216 | + | 0.568216i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.1731 | + | 9.18440i | −0.741165 | + | 0.307001i | ||||
\(896\) | −4.59220 | + | 11.0866i | −0.153415 | + | 0.370376i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −31.4119 | − | 13.0112i | −1.04823 | − | 0.434191i | ||||
\(899\) | −16.9706 | + | 16.9706i | −0.566000 | + | 0.566000i | ||||
\(900\) | 3.00000 | 0.100000 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 38.8029 | + | 16.0727i | 1.29057 | + | 0.534570i | ||||
\(905\) | − | 4.00000i | − | 0.132964i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −29.5641 | + | 12.2459i | −0.981661 | + | 0.406617i | −0.815041 | − | 0.579404i | \(-0.803286\pi\) |
−0.166621 | + | 0.986021i | \(0.553286\pi\) | |||||||
\(908\) | 9.18440 | + | 22.1731i | 0.304795 | + | 0.735840i | ||||
\(909\) | −21.2132 | − | 21.2132i | −0.703598 | − | 0.703598i | ||||
\(910\) | −11.3137 | − | 11.3137i | −0.375046 | − | 0.375046i | ||||
\(911\) | 1.53073 | + | 3.69552i | 0.0507155 | + | 0.122438i | 0.947207 | − | 0.320623i | \(-0.103892\pi\) |
−0.896491 | + | 0.443061i | \(0.853892\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 6.00000i | 0.198462i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.24264 | − | 4.24264i | 0.140181 | − | 0.140181i | ||||
\(917\) | −64.0000 | −2.11347 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.0000 | 0.791687 | 0.395843 | − | 0.918318i | \(-0.370452\pi\) | ||||
0.395843 | + | 0.918318i | \(0.370452\pi\) | |||||||
\(920\) | −16.9706 | + | 16.9706i | −0.559503 | + | 0.559503i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 2.00000i | − | 0.0658665i | ||||||
\(923\) | 3.06147 | − | 7.39104i | 0.100769 | − | 0.243279i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.765367 | + | 1.84776i | 0.0251651 | + | 0.0607539i | ||||
\(926\) | 22.6274 | + | 22.6274i | 0.743583 | + | 0.743583i | ||||
\(927\) | −16.9706 | − | 16.9706i | −0.557386 | − | 0.557386i | ||||
\(928\) | 11.4805 | + | 27.7164i | 0.376866 | + | 0.909835i | ||||
\(929\) | −27.7164 | + | 11.4805i | −0.909345 | + | 0.376663i | −0.787806 | − | 0.615924i | \(-0.788783\pi\) |
−0.121539 | + | 0.992587i | \(0.538783\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 36.0000i | − | 1.17985i | ||||||
\(932\) | 5.54328 | + | 2.29610i | 0.181576 | + | 0.0752113i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 12.0000 | 0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 18.0000 | 0.588348 | ||||||||
\(937\) | 7.07107 | − | 7.07107i | 0.231002 | − | 0.231002i | −0.582109 | − | 0.813111i | \(-0.697772\pi\) |
0.813111 | + | 0.582109i | \(0.197772\pi\) | |||||||
\(938\) | 14.7821 | + | 6.12293i | 0.482652 | + | 0.199921i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.54328 | + | 2.29610i | −0.180706 | + | 0.0748507i | −0.471202 | − | 0.882025i | \(-0.656180\pi\) |
0.290496 | + | 0.956876i | \(0.406180\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.9706 | + | 16.9706i | 0.552638 | + | 0.552638i | ||||
\(944\) | 8.48528 | + | 8.48528i | 0.276172 | + | 0.276172i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −12.2459 | + | 29.5641i | −0.397937 | + | 0.960706i | 0.590217 | + | 0.807244i | \(0.299042\pi\) |
−0.988155 | + | 0.153461i | \(0.950958\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.0866 | + | 4.59220i | 0.359885 | + | 0.149069i | ||||
\(950\) | 2.82843 | − | 2.82843i | 0.0917663 | − | 0.0917663i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.0000 | −0.712650 | −0.356325 | − | 0.934362i | \(-0.615970\pi\) | ||||
−0.356325 | + | 0.934362i | \(0.615970\pi\) | |||||||
\(954\) | 12.7279 | − | 12.7279i | 0.412082 | − | 0.412082i | ||||
\(955\) | −29.5641 | − | 12.2459i | −0.956673 | − | 0.396267i | ||||
\(956\) | − | 16.0000i | − | 0.517477i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 33.2597 | − | 13.7766i | 1.07457 | − | 0.445102i | ||||
\(959\) | −9.18440 | − | 22.1731i | −0.296580 | − | 0.716007i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.6066 | − | 10.6066i | −0.342148 | − | 0.342148i | ||||
\(962\) | 1.53073 | + | 3.69552i | 0.0493528 | + | 0.119148i | ||||
\(963\) | −22.1731 | + | 9.18440i | −0.714518 | + | 0.295963i | ||||
\(964\) | 6.88830 | − | 16.6298i | 0.221857 | − | 0.535611i | ||||
\(965\) | − | 4.00000i | − | 0.128765i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(968\) | 33.0000 | 1.06066 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.00000 | 0.128432 | ||||||||
\(971\) | −8.48528 | + | 8.48528i | −0.272306 | + | 0.272306i | −0.830028 | − | 0.557722i | \(-0.811675\pi\) |
0.557722 | + | 0.830028i | \(0.311675\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 32.0000i | 1.02587i | ||||||||
\(974\) | −7.65367 | + | 18.4776i | −0.245239 | + | 0.592060i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.82683 | + | 9.23880i | 0.122494 | + | 0.295727i | ||||
\(977\) | −12.7279 | − | 12.7279i | −0.407202 | − | 0.407202i | 0.473560 | − | 0.880762i | \(-0.342969\pi\) |
−0.880762 | + | 0.473560i | \(0.842969\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 16.6298 | − | 6.88830i | 0.531220 | − | 0.220039i | ||||
\(981\) | 6.88830 | − | 16.6298i | 0.219927 | − | 0.530950i | ||||
\(982\) | − | 20.0000i | − | 0.638226i | ||||||
\(983\) | 11.0866 | + | 4.59220i | 0.353606 | + | 0.146468i | 0.552414 | − | 0.833570i | \(-0.313707\pi\) |
−0.198808 | + | 0.980039i | \(0.563707\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −36.0000 | −1.14706 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.65685 | + | 5.65685i | −0.179969 | + | 0.179969i | ||||
\(989\) | −14.7821 | − | 6.12293i | −0.470043 | − | 0.194698i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.59220 | + | 11.0866i | −0.145876 | + | 0.352176i | −0.979881 | − | 0.199580i | \(-0.936042\pi\) |
0.834005 | + | 0.551756i | \(0.186042\pi\) | |||||||
\(992\) | 18.4776 | − | 7.65367i | 0.586664 | − | 0.243004i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −11.3137 | − | 11.3137i | −0.358849 | − | 0.358849i | ||||
\(995\) | 28.2843 | + | 28.2843i | 0.896672 | + | 0.896672i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 42.4985 | − | 17.6034i | 1.34594 | − | 0.557506i | 0.410781 | − | 0.911734i | \(-0.365256\pi\) |
0.935159 | + | 0.354228i | \(0.115256\pi\) | |||||||
\(998\) | −15.3073 | + | 36.9552i | −0.484545 | + | 1.16980i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))