Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(67,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.g (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.2 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.67 |
Dual form | 441.2.g.b.79.2 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.673648 | + | 1.16679i | −0.476341 | + | 0.825047i | −0.999633 | − | 0.0271067i | \(-0.991371\pi\) |
0.523291 | + | 0.852154i | \(0.324704\pi\) | |||||||
\(3\) | 0.592396 | − | 1.62760i | 0.342020 | − | 0.939693i | ||||
\(4\) | 0.0923963 | + | 0.160035i | 0.0461981 | + | 0.0800175i | ||||
\(5\) | −2.53209 | −1.13238 | −0.566192 | − | 0.824273i | \(-0.691584\pi\) | ||||
−0.566192 | + | 0.824273i | \(0.691584\pi\) | |||||||
\(6\) | 1.50000 | + | 1.78763i | 0.612372 | + | 0.729797i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.94356 | −1.04071 | ||||||||
\(9\) | −2.29813 | − | 1.92836i | −0.766044 | − | 0.642788i | ||||
\(10\) | 1.70574 | − | 2.95442i | 0.539401 | − | 0.934271i | ||||
\(11\) | 0.467911 | 0.141081 | 0.0705403 | − | 0.997509i | \(-0.477528\pi\) | ||||
0.0705403 | + | 0.997509i | \(0.477528\pi\) | |||||||
\(12\) | 0.315207 | − | 0.0555796i | 0.0909926 | − | 0.0160444i | ||||
\(13\) | 2.91147 | − | 5.04282i | 0.807498 | − | 1.39863i | −0.107094 | − | 0.994249i | \(-0.534155\pi\) |
0.914592 | − | 0.404378i | \(-0.132512\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | + | 4.12122i | −0.387298 | + | 1.06409i | ||||
\(16\) | 1.79813 | − | 3.11446i | 0.449533 | − | 0.778615i | ||||
\(17\) | 1.93969 | − | 3.35965i | 0.470445 | − | 0.814834i | −0.528984 | − | 0.848632i | \(-0.677427\pi\) |
0.999429 | + | 0.0337978i | \(0.0107602\pi\) | |||||||
\(18\) | 3.79813 | − | 1.38241i | 0.895229 | − | 0.325837i | ||||
\(19\) | −1.09240 | − | 1.89209i | −0.250613 | − | 0.434074i | 0.713082 | − | 0.701081i | \(-0.247299\pi\) |
−0.963695 | + | 0.267007i | \(0.913965\pi\) | |||||||
\(20\) | −0.233956 | − | 0.405223i | −0.0523141 | − | 0.0906106i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.315207 | + | 0.545955i | −0.0672025 | + | 0.116398i | ||||
\(23\) | −0.106067 | −0.0221165 | −0.0110582 | − | 0.999939i | \(-0.503520\pi\) | ||||
−0.0110582 | + | 0.999939i | \(0.503520\pi\) | |||||||
\(24\) | −1.74376 | + | 4.79093i | −0.355943 | + | 0.977944i | ||||
\(25\) | 1.41147 | 0.282295 | ||||||||
\(26\) | 3.92262 | + | 6.79417i | 0.769289 | + | 1.33245i | ||||
\(27\) | −4.50000 | + | 2.59808i | −0.866025 | + | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.39053 | − | 7.60462i | −0.815301 | − | 1.41214i | −0.909112 | − | 0.416552i | \(-0.863238\pi\) |
0.0938108 | − | 0.995590i | \(-0.470095\pi\) | |||||||
\(30\) | −3.79813 | − | 4.52644i | −0.693441 | − | 0.826411i | ||||
\(31\) | −3.84002 | − | 6.65111i | −0.689688 | − | 1.19458i | −0.971939 | − | 0.235235i | \(-0.924414\pi\) |
0.282250 | − | 0.959341i | \(-0.408919\pi\) | |||||||
\(32\) | −0.520945 | − | 0.902302i | −0.0920909 | − | 0.159506i | ||||
\(33\) | 0.277189 | − | 0.761570i | 0.0482524 | − | 0.132572i | ||||
\(34\) | 2.61334 | + | 4.52644i | 0.448184 | + | 0.776278i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.0962667 | − | 0.545955i | 0.0160444 | − | 0.0909926i | ||||
\(37\) | 3.84002 | + | 6.65111i | 0.631296 | + | 1.09344i | 0.987287 | + | 0.158947i | \(0.0508099\pi\) |
−0.355991 | + | 0.934489i | \(0.615857\pi\) | |||||||
\(38\) | 2.94356 | 0.477509 | ||||||||
\(39\) | −6.48293 | − | 7.72605i | −1.03810 | − | 1.23716i | ||||
\(40\) | 7.45336 | 1.17848 | ||||||||
\(41\) | −1.11334 | + | 1.92836i | −0.173875 | + | 0.301160i | −0.939771 | − | 0.341804i | \(-0.888962\pi\) |
0.765897 | + | 0.642964i | \(0.222295\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.613341 | − | 1.06234i | −0.0935336 | − | 0.162005i | 0.815462 | − | 0.578811i | \(-0.196483\pi\) |
−0.908996 | + | 0.416806i | \(0.863150\pi\) | |||||||
\(44\) | 0.0432332 | + | 0.0748822i | 0.00651766 | + | 0.0112889i | ||||
\(45\) | 5.81908 | + | 4.88279i | 0.867457 | + | 0.727883i | ||||
\(46\) | 0.0714517 | − | 0.123758i | 0.0105350 | − | 0.0182471i | ||||
\(47\) | −2.66637 | + | 4.61830i | −0.388931 | + | 0.673648i | −0.992306 | − | 0.123810i | \(-0.960489\pi\) |
0.603375 | + | 0.797457i | \(0.293822\pi\) | |||||||
\(48\) | −4.00387 | − | 4.77163i | −0.577909 | − | 0.688725i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.950837 | + | 1.64690i | −0.134469 | + | 0.232907i | ||||
\(51\) | −4.31908 | − | 5.14728i | −0.604792 | − | 0.720763i | ||||
\(52\) | 1.07604 | 0.149220 | ||||||||
\(53\) | 0.358441 | − | 0.620838i | 0.0492356 | − | 0.0852786i | −0.840357 | − | 0.542033i | \(-0.817655\pi\) |
0.889593 | + | 0.456754i | \(0.150988\pi\) | |||||||
\(54\) | − | 7.00076i | − | 0.952682i | ||||||
\(55\) | −1.18479 | −0.159757 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.72668 | + | 0.657115i | −0.493611 | + | 0.0870369i | ||||
\(58\) | 11.8307 | 1.55345 | ||||||||
\(59\) | 0.368241 | + | 0.637812i | 0.0479409 | + | 0.0830360i | 0.889000 | − | 0.457907i | \(-0.151401\pi\) |
−0.841059 | + | 0.540943i | \(0.818067\pi\) | |||||||
\(60\) | −0.798133 | + | 0.140732i | −0.103039 | + | 0.0181685i | ||||
\(61\) | 0.479055 | − | 0.829748i | 0.0613368 | − | 0.106238i | −0.833726 | − | 0.552178i | \(-0.813797\pi\) |
0.895063 | + | 0.445939i | \(0.147130\pi\) | |||||||
\(62\) | 10.3473 | 1.31411 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.59627 | 1.07453 | ||||||||
\(65\) | −7.37211 | + | 12.7689i | −0.914398 | + | 1.58378i | ||||
\(66\) | 0.701867 | + | 0.836452i | 0.0863938 | + | 0.102960i | ||||
\(67\) | 4.81908 | + | 8.34689i | 0.588744 | + | 1.01973i | 0.994397 | + | 0.105708i | \(0.0337107\pi\) |
−0.405653 | + | 0.914027i | \(0.632956\pi\) | |||||||
\(68\) | 0.716881 | 0.0869346 | ||||||||
\(69\) | −0.0628336 | + | 0.172634i | −0.00756428 | + | 0.0207827i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.2344 | 1.57064 | 0.785318 | − | 0.619092i | \(-0.212499\pi\) | ||||
0.785318 | + | 0.619092i | \(0.212499\pi\) | |||||||
\(72\) | 6.76470 | + | 5.67626i | 0.797228 | + | 0.668953i | ||||
\(73\) | −5.13429 | + | 8.89284i | −0.600923 | + | 1.04083i | 0.391759 | + | 0.920068i | \(0.371867\pi\) |
−0.992682 | + | 0.120761i | \(0.961467\pi\) | |||||||
\(74\) | −10.3473 | −1.20285 | ||||||||
\(75\) | 0.836152 | − | 2.29731i | 0.0965505 | − | 0.265270i | ||||
\(76\) | 0.201867 | − | 0.349643i | 0.0231557 | − | 0.0401068i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 13.3819 | − | 2.35959i | 1.51520 | − | 0.267171i | ||||
\(79\) | 6.31908 | − | 10.9450i | 0.710952 | − | 1.23140i | −0.253548 | − | 0.967323i | \(-0.581598\pi\) |
0.964500 | − | 0.264082i | \(-0.0850689\pi\) | |||||||
\(80\) | −4.55303 | + | 7.88609i | −0.509045 | + | 0.881691i | ||||
\(81\) | 1.56283 | + | 8.86327i | 0.173648 | + | 0.984808i | ||||
\(82\) | −1.50000 | − | 2.59808i | −0.165647 | − | 0.286910i | ||||
\(83\) | −1.36571 | − | 2.36549i | −0.149907 | − | 0.259646i | 0.781286 | − | 0.624173i | \(-0.214564\pi\) |
−0.931193 | + | 0.364527i | \(0.881231\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.91147 | + | 8.50692i | −0.532724 | + | 0.922705i | ||||
\(86\) | 1.65270 | 0.178216 | ||||||||
\(87\) | −14.9782 | + | 2.64106i | −1.60583 | + | 0.283151i | ||||
\(88\) | −1.37733 | −0.146823 | ||||||||
\(89\) | −4.05690 | − | 7.02676i | −0.430031 | − | 0.744835i | 0.566845 | − | 0.823825i | \(-0.308164\pi\) |
−0.996875 | + | 0.0789894i | \(0.974831\pi\) | |||||||
\(90\) | −9.61721 | + | 3.50038i | −1.01374 | + | 0.368972i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.00980018 | − | 0.0169744i | −0.00102174 | − | 0.00176970i | ||||
\(93\) | −13.1001 | + | 2.30991i | −1.35842 | + | 0.239526i | ||||
\(94\) | −3.59240 | − | 6.22221i | −0.370527 | − | 0.641772i | ||||
\(95\) | 2.76604 | + | 4.79093i | 0.283790 | + | 0.491539i | ||||
\(96\) | −1.77719 | + | 0.313366i | −0.181384 | + | 0.0319828i | ||||
\(97\) | −6.80200 | − | 11.7814i | −0.690639 | − | 1.19622i | −0.971629 | − | 0.236511i | \(-0.923996\pi\) |
0.280990 | − | 0.959711i | \(-0.409337\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.07532 | − | 0.902302i | −0.108074 | − | 0.0906848i | ||||
\(100\) | 0.130415 | + | 0.225885i | 0.0130415 | + | 0.0225885i | ||||
\(101\) | 9.57398 | 0.952646 | 0.476323 | − | 0.879270i | \(-0.341969\pi\) | ||||
0.476323 | + | 0.879270i | \(0.341969\pi\) | |||||||
\(102\) | 8.91534 | − | 1.57202i | 0.882751 | − | 0.155653i | ||||
\(103\) | −3.04189 | −0.299726 | −0.149863 | − | 0.988707i | \(-0.547883\pi\) | ||||
−0.149863 | + | 0.988707i | \(0.547883\pi\) | |||||||
\(104\) | −8.57011 | + | 14.8439i | −0.840368 | + | 1.45556i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.482926 | + | 0.836452i | 0.0469059 | + | 0.0812434i | ||||
\(107\) | 3.25877 | + | 5.64436i | 0.315037 | + | 0.545660i | 0.979445 | − | 0.201709i | \(-0.0646497\pi\) |
−0.664408 | + | 0.747370i | \(0.731316\pi\) | |||||||
\(108\) | −0.831566 | − | 0.480105i | −0.0800175 | − | 0.0461981i | ||||
\(109\) | −5.31908 | + | 9.21291i | −0.509475 | + | 0.882437i | 0.490465 | + | 0.871461i | \(0.336827\pi\) |
−0.999940 | + | 0.0109759i | \(0.996506\pi\) | |||||||
\(110\) | 0.798133 | − | 1.38241i | 0.0760990 | − | 0.131807i | ||||
\(111\) | 13.1001 | − | 2.30991i | 1.24341 | − | 0.219247i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.58853 | + | 4.48346i | −0.243508 | + | 0.421768i | −0.961711 | − | 0.274065i | \(-0.911632\pi\) |
0.718203 | + | 0.695834i | \(0.244965\pi\) | |||||||
\(114\) | 1.74376 | − | 4.79093i | 0.163318 | − | 0.448712i | ||||
\(115\) | 0.268571 | 0.0250443 | ||||||||
\(116\) | 0.811337 | − | 1.40528i | 0.0753308 | − | 0.130477i | ||||
\(117\) | −16.4153 | + | 5.97470i | −1.51760 | + | 0.552361i | ||||
\(118\) | −0.992259 | −0.0913449 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.41534 | − | 12.1311i | 0.403064 | − | 1.10741i | ||||
\(121\) | −10.7811 | −0.980096 | ||||||||
\(122\) | 0.645430 | + | 1.11792i | 0.0584345 | + | 0.101211i | ||||
\(123\) | 2.47906 | + | 2.95442i | 0.223529 | + | 0.266391i | ||||
\(124\) | 0.709607 | − | 1.22908i | 0.0637246 | − | 0.110374i | ||||
\(125\) | 9.08647 | 0.812718 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.88207 | −0.788157 | −0.394078 | − | 0.919077i | \(-0.628936\pi\) | ||||
−0.394078 | + | 0.919077i | \(0.628936\pi\) | |||||||
\(128\) | −4.74897 | + | 8.22546i | −0.419754 | + | 0.727035i | ||||
\(129\) | −2.09240 | + | 0.368946i | −0.184225 | + | 0.0324839i | ||||
\(130\) | −9.93242 | − | 17.2035i | −0.871131 | − | 1.50884i | ||||
\(131\) | −11.3628 | −0.992771 | −0.496385 | − | 0.868102i | \(-0.665340\pi\) | ||||
−0.496385 | + | 0.868102i | \(0.665340\pi\) | |||||||
\(132\) | 0.147489 | − | 0.0260063i | 0.0128373 | − | 0.00226356i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.9855 | −1.12177 | ||||||||
\(135\) | 11.3944 | − | 6.57856i | 0.980674 | − | 0.566192i | ||||
\(136\) | −5.70961 | + | 9.88933i | −0.489595 | + | 0.848003i | ||||
\(137\) | −5.72462 | −0.489087 | −0.244544 | − | 0.969638i | \(-0.578638\pi\) | ||||
−0.244544 | + | 0.969638i | \(0.578638\pi\) | |||||||
\(138\) | −0.159100 | − | 0.189608i | −0.0135435 | − | 0.0161405i | ||||
\(139\) | −0.461981 | + | 0.800175i | −0.0391847 | + | 0.0678700i | −0.884953 | − | 0.465681i | \(-0.845809\pi\) |
0.845768 | + | 0.533551i | \(0.179143\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.93717 | + | 7.07564i | 0.500000 | + | 0.595876i | ||||
\(142\) | −8.91534 | + | 15.4418i | −0.748159 | + | 1.29585i | ||||
\(143\) | 1.36231 | − | 2.35959i | 0.113922 | − | 0.197319i | ||||
\(144\) | −10.1382 | + | 3.68999i | −0.844846 | + | 0.307499i | ||||
\(145\) | 11.1172 | + | 19.2556i | 0.923234 | + | 1.59909i | ||||
\(146\) | −6.91740 | − | 11.9813i | −0.572488 | − | 0.991579i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.709607 | + | 1.22908i | −0.0583294 | + | 0.101029i | ||||
\(149\) | 8.72462 | 0.714749 | 0.357374 | − | 0.933961i | \(-0.383672\pi\) | ||||
0.357374 | + | 0.933961i | \(0.383672\pi\) | |||||||
\(150\) | 2.11721 | + | 2.52319i | 0.172870 | + | 0.206018i | ||||
\(151\) | 18.4270 | 1.49956 | 0.749782 | − | 0.661685i | \(-0.230158\pi\) | ||||
0.749782 | + | 0.661685i | \(0.230158\pi\) | |||||||
\(152\) | 3.21554 | + | 5.56947i | 0.260815 | + | 0.451744i | ||||
\(153\) | −10.9363 | + | 3.98048i | −0.884147 | + | 0.321803i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.72328 | + | 16.8412i | 0.780992 | + | 1.35272i | ||||
\(156\) | 0.637441 | − | 1.75135i | 0.0510361 | − | 0.140220i | ||||
\(157\) | 2.46198 | + | 4.26428i | 0.196488 | + | 0.340326i | 0.947387 | − | 0.320090i | \(-0.103713\pi\) |
−0.750900 | + | 0.660416i | \(0.770380\pi\) | |||||||
\(158\) | 8.51367 | + | 14.7461i | 0.677311 | + | 1.17314i | ||||
\(159\) | −0.798133 | − | 0.951178i | −0.0632961 | − | 0.0754333i | ||||
\(160\) | 1.31908 | + | 2.28471i | 0.104282 | + | 0.180622i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −11.3944 | − | 4.14722i | −0.895229 | − | 0.325837i | ||||
\(163\) | −3.81908 | − | 6.61484i | −0.299133 | − | 0.518114i | 0.676805 | − | 0.736163i | \(-0.263364\pi\) |
−0.975938 | + | 0.218049i | \(0.930031\pi\) | |||||||
\(164\) | −0.411474 | −0.0321307 | ||||||||
\(165\) | −0.701867 | + | 1.92836i | −0.0546402 | + | 0.150123i | ||||
\(166\) | 3.68004 | 0.285627 | ||||||||
\(167\) | −2.82770 | + | 4.89771i | −0.218814 | + | 0.378996i | −0.954446 | − | 0.298385i | \(-0.903552\pi\) |
0.735632 | + | 0.677382i | \(0.236885\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.4534 | − | 18.1058i | −0.804105 | − | 1.39275i | ||||
\(170\) | −6.61721 | − | 11.4613i | −0.507517 | − | 0.879045i | ||||
\(171\) | −1.13816 | + | 6.45480i | −0.0870369 | + | 0.493611i | ||||
\(172\) | 0.113341 | − | 0.196312i | 0.00864215 | − | 0.0149687i | ||||
\(173\) | 10.5346 | − | 18.2465i | 0.800932 | − | 1.38725i | −0.118071 | − | 0.993005i | \(-0.537671\pi\) |
0.919003 | − | 0.394250i | \(-0.128995\pi\) | |||||||
\(174\) | 7.00846 | − | 19.2556i | 0.531310 | − | 1.45976i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.841367 | − | 1.45729i | 0.0634204 | − | 0.109847i | ||||
\(177\) | 1.25624 | − | 0.221510i | 0.0944251 | − | 0.0166497i | ||||
\(178\) | 10.9317 | 0.819366 | ||||||||
\(179\) | 2.56031 | − | 4.43458i | 0.191366 | − | 0.331456i | −0.754337 | − | 0.656487i | \(-0.772041\pi\) |
0.945703 | + | 0.325031i | \(0.105375\pi\) | |||||||
\(180\) | −0.243756 | + | 1.38241i | −0.0181685 | + | 0.103039i | ||||
\(181\) | 0.319955 | 0.0237821 | 0.0118910 | − | 0.999929i | \(-0.496215\pi\) | ||||
0.0118910 | + | 0.999929i | \(0.496215\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.06670 | − | 1.27125i | −0.0788530 | − | 0.0939734i | ||||
\(184\) | 0.312214 | 0.0230168 | ||||||||
\(185\) | −9.72328 | − | 16.8412i | −0.714870 | − | 1.23819i | ||||
\(186\) | 6.12970 | − | 16.8412i | 0.449451 | − | 1.23486i | ||||
\(187\) | 0.907604 | − | 1.57202i | 0.0663706 | − | 0.114957i | ||||
\(188\) | −0.985452 | −0.0718715 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.45336 | −0.540724 | ||||||||
\(191\) | 7.78359 | − | 13.4816i | 0.563200 | − | 0.975492i | −0.434014 | − | 0.900906i | \(-0.642903\pi\) |
0.997215 | − | 0.0745858i | \(-0.0237635\pi\) | |||||||
\(192\) | 5.09240 | − | 13.9912i | 0.367512 | − | 1.00973i | ||||
\(193\) | −3.02094 | − | 5.23243i | −0.217452 | − | 0.376639i | 0.736576 | − | 0.676355i | \(-0.236441\pi\) |
−0.954028 | + | 0.299716i | \(0.903108\pi\) | |||||||
\(194\) | 18.3286 | 1.31592 | ||||||||
\(195\) | 16.4153 | + | 19.5630i | 1.17553 | + | 1.40094i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 25.2344 | 1.79788 | 0.898939 | − | 0.438074i | \(-0.144339\pi\) | ||||
0.898939 | + | 0.438074i | \(0.144339\pi\) | |||||||
\(198\) | 1.77719 | − | 0.646844i | 0.126299 | − | 0.0459692i | ||||
\(199\) | 1.52094 | − | 2.63435i | 0.107817 | − | 0.186744i | −0.807069 | − | 0.590458i | \(-0.798947\pi\) |
0.914886 | + | 0.403713i | \(0.132281\pi\) | |||||||
\(200\) | −4.15476 | −0.293786 | ||||||||
\(201\) | 16.4402 | − | 2.89884i | 1.15960 | − | 0.204469i | ||||
\(202\) | −6.44949 | + | 11.1708i | −0.453785 | + | 0.785978i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.424678 | − | 1.16679i | 0.0297334 | − | 0.0816918i | ||||
\(205\) | 2.81908 | − | 4.88279i | 0.196893 | − | 0.341029i | ||||
\(206\) | 2.04916 | − | 3.54925i | 0.142772 | − | 0.247288i | ||||
\(207\) | 0.243756 | + | 0.204535i | 0.0169422 | + | 0.0142162i | ||||
\(208\) | −10.4704 | − | 18.1353i | −0.725994 | − | 1.25746i | ||||
\(209\) | −0.511144 | − | 0.885328i | −0.0353566 | − | 0.0612394i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.72668 | − | 4.72275i | 0.187713 | − | 0.325128i | −0.756775 | − | 0.653676i | \(-0.773226\pi\) |
0.944487 | + | 0.328548i | \(0.106559\pi\) | |||||||
\(212\) | 0.132474 | 0.00909837 | ||||||||
\(213\) | 7.84002 | − | 21.5403i | 0.537189 | − | 1.47592i | ||||
\(214\) | −8.78106 | −0.600261 | ||||||||
\(215\) | 1.55303 | + | 2.68993i | 0.105916 | + | 0.183452i | ||||
\(216\) | 13.2460 | − | 7.64760i | 0.901278 | − | 0.520353i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −7.16637 | − | 12.4125i | −0.485368 | − | 0.840682i | ||||
\(219\) | 11.4324 | + | 13.6246i | 0.772531 | + | 0.920667i | ||||
\(220\) | −0.109470 | − | 0.189608i | −0.00738049 | − | 0.0127834i | ||||
\(221\) | −11.2947 | − | 19.5630i | −0.759766 | − | 1.31595i | ||||
\(222\) | −6.12970 | + | 16.8412i | −0.411399 | + | 1.13031i | ||||
\(223\) | 7.09627 | + | 12.2911i | 0.475201 | + | 0.823073i | 0.999597 | − | 0.0284023i | \(-0.00904195\pi\) |
−0.524395 | + | 0.851475i | \(0.675709\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.24376 | − | 2.72183i | −0.216250 | − | 0.181456i | ||||
\(226\) | −3.48751 | − | 6.04055i | −0.231986 | − | 0.401811i | ||||
\(227\) | 2.89393 | 0.192077 | 0.0960385 | − | 0.995378i | \(-0.469383\pi\) | ||||
0.0960385 | + | 0.995378i | \(0.469383\pi\) | |||||||
\(228\) | −0.449493 | − | 0.535685i | −0.0297684 | − | 0.0354766i | ||||
\(229\) | −9.16756 | −0.605809 | −0.302905 | − | 0.953021i | \(-0.597956\pi\) | ||||
−0.302905 | + | 0.953021i | \(0.597956\pi\) | |||||||
\(230\) | −0.180922 | + | 0.313366i | −0.0119297 | + | 0.0206628i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.9238 | + | 22.3847i | 0.848489 | + | 1.46963i | ||||
\(233\) | −6.63563 | − | 11.4932i | −0.434715 | − | 0.752948i | 0.562558 | − | 0.826758i | \(-0.309817\pi\) |
−0.997272 | + | 0.0738103i | \(0.976484\pi\) | |||||||
\(234\) | 4.08693 | − | 23.1782i | 0.267171 | − | 1.51520i | ||||
\(235\) | 6.75150 | − | 11.6939i | 0.440419 | − | 0.762828i | ||||
\(236\) | −0.0680482 | + | 0.117863i | −0.00442956 | + | 0.00767222i | ||||
\(237\) | −14.0706 | − | 16.7687i | −0.913982 | − | 1.08924i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.76857 | + | 8.25941i | −0.308453 | + | 0.534257i | −0.978024 | − | 0.208491i | \(-0.933145\pi\) |
0.669571 | + | 0.742748i | \(0.266478\pi\) | |||||||
\(240\) | 10.1382 | + | 12.0822i | 0.654415 | + | 0.779902i | ||||
\(241\) | 8.95811 | 0.577043 | 0.288521 | − | 0.957473i | \(-0.406836\pi\) | ||||
0.288521 | + | 0.957473i | \(0.406836\pi\) | |||||||
\(242\) | 7.26264 | − | 12.5793i | 0.466860 | − | 0.808626i | ||||
\(243\) | 15.3516 | + | 2.70691i | 0.984808 | + | 0.173648i | ||||
\(244\) | 0.177052 | 0.0113346 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −5.11721 | + | 0.902302i | −0.326261 | + | 0.0575287i | ||||
\(247\) | −12.7219 | −0.809477 | ||||||||
\(248\) | 11.3033 | + | 19.5780i | 0.717763 | + | 1.24320i | ||||
\(249\) | −4.65910 | + | 0.821525i | −0.295258 | + | 0.0520620i | ||||
\(250\) | −6.12108 | + | 10.6020i | −0.387131 | + | 0.670531i | ||||
\(251\) | 24.9982 | 1.57788 | 0.788938 | − | 0.614473i | \(-0.210631\pi\) | ||||
0.788938 | + | 0.614473i | \(0.210631\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0496299 | −0.00312020 | ||||||||
\(254\) | 5.98339 | − | 10.3635i | 0.375431 | − | 0.650266i | ||||
\(255\) | 10.9363 | + | 13.0334i | 0.684857 | + | 0.816181i | ||||
\(256\) | 2.19800 | + | 3.80704i | 0.137375 | + | 0.237940i | ||||
\(257\) | −10.8520 | −0.676932 | −0.338466 | − | 0.940979i | \(-0.609908\pi\) | ||||
−0.338466 | + | 0.940979i | \(0.609908\pi\) | |||||||
\(258\) | 0.979055 | − | 2.68993i | 0.0609533 | − | 0.167468i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −2.72462 | −0.168974 | ||||||||
\(261\) | −4.57444 | + | 25.9430i | −0.283151 | + | 1.60583i | ||||
\(262\) | 7.65451 | − | 13.2580i | 0.472897 | − | 0.819082i | ||||
\(263\) | 26.0874 | 1.60862 | 0.804309 | − | 0.594211i | \(-0.202536\pi\) | ||||
0.804309 | + | 0.594211i | \(0.202536\pi\) | |||||||
\(264\) | −0.815923 | + | 2.24173i | −0.0502166 | + | 0.137969i | ||||
\(265\) | −0.907604 | + | 1.57202i | −0.0557537 | + | 0.0965682i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.8400 | + | 2.44037i | −0.846996 | + | 0.149348i | ||||
\(268\) | −0.890530 | + | 1.54244i | −0.0543978 | + | 0.0942197i | ||||
\(269\) | −3.81655 | + | 6.61046i | −0.232699 | + | 0.403047i | −0.958602 | − | 0.284751i | \(-0.908089\pi\) |
0.725902 | + | 0.687798i | \(0.241422\pi\) | |||||||
\(270\) | 17.7265i | 1.07880i | ||||||||
\(271\) | 1.70187 | + | 2.94772i | 0.103381 | + | 0.179061i | 0.913076 | − | 0.407790i | \(-0.133701\pi\) |
−0.809695 | + | 0.586852i | \(0.800367\pi\) | |||||||
\(272\) | −6.97565 | − | 12.0822i | −0.422961 | − | 0.732590i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.85638 | − | 6.67945i | 0.232973 | − | 0.403520i | ||||
\(275\) | 0.660444 | 0.0398263 | ||||||||
\(276\) | −0.0334331 | + | 0.00589515i | −0.00201243 | + | 0.000354846i | ||||
\(277\) | −5.72193 | −0.343798 | −0.171899 | − | 0.985115i | \(-0.554990\pi\) | ||||
−0.171899 | + | 0.985115i | \(0.554990\pi\) | |||||||
\(278\) | −0.622426 | − | 1.07807i | −0.0373306 | − | 0.0646585i | ||||
\(279\) | −4.00088 | + | 22.6901i | −0.239526 | + | 1.35842i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.1887 | − | 24.5755i | −0.846425 | − | 1.46605i | −0.884378 | − | 0.466771i | \(-0.845417\pi\) |
0.0379535 | − | 0.999280i | \(-0.487916\pi\) | |||||||
\(282\) | −12.2554 | + | 2.16095i | −0.729796 | + | 0.128683i | ||||
\(283\) | 2.28564 | + | 3.95885i | 0.135867 | + | 0.235329i | 0.925929 | − | 0.377699i | \(-0.123285\pi\) |
−0.790061 | + | 0.613028i | \(0.789951\pi\) | |||||||
\(284\) | 1.22281 | + | 2.11797i | 0.0725605 | + | 0.125678i | ||||
\(285\) | 9.43629 | − | 1.66387i | 0.558958 | − | 0.0985593i | ||||
\(286\) | 1.83544 | + | 3.17907i | 0.108532 | + | 0.187982i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.542766 | + | 3.07818i | −0.0319828 | + | 0.181384i | ||||
\(289\) | 0.975185 | + | 1.68907i | 0.0573638 | + | 0.0993571i | ||||
\(290\) | −29.9564 | −1.75910 | ||||||||
\(291\) | −23.2049 | + | 4.09164i | −1.36029 | + | 0.239856i | ||||
\(292\) | −1.89756 | −0.111046 | ||||||||
\(293\) | 2.16385 | − | 3.74789i | 0.126413 | − | 0.218954i | −0.795871 | − | 0.605466i | \(-0.792987\pi\) |
0.922285 | + | 0.386512i | \(0.126320\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.932419 | − | 1.61500i | −0.0542875 | − | 0.0940287i | ||||
\(296\) | −11.3033 | − | 19.5780i | −0.656994 | − | 1.13795i | ||||
\(297\) | −2.10560 | + | 1.21567i | −0.122179 | + | 0.0705403i | ||||
\(298\) | −5.87733 | + | 10.1798i | −0.340464 | + | 0.589702i | ||||
\(299\) | −0.308811 | + | 0.534876i | −0.0178590 | + | 0.0309327i | ||||
\(300\) | 0.444907 | − | 0.0784491i | 0.0256867 | − | 0.00452926i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −12.4133 | + | 21.5004i | −0.714304 | + | 1.23721i | ||||
\(303\) | 5.67159 | − | 15.5826i | 0.325824 | − | 0.895195i | ||||
\(304\) | −7.85710 | −0.450635 | ||||||||
\(305\) | −1.21301 | + | 2.10100i | −0.0694568 | + | 0.120303i | ||||
\(306\) | 2.72281 | − | 15.4418i | 0.155653 | − | 0.882751i | ||||
\(307\) | −12.3773 | −0.706411 | −0.353206 | − | 0.935546i | \(-0.614908\pi\) | ||||
−0.353206 | + | 0.935546i | \(0.614908\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.80200 | + | 4.95096i | −0.102512 | + | 0.281651i | ||||
\(310\) | −26.2003 | −1.48808 | ||||||||
\(311\) | −10.9927 | − | 19.0400i | −0.623340 | − | 1.07966i | −0.988859 | − | 0.148853i | \(-0.952442\pi\) |
0.365519 | − | 0.930804i | \(-0.380892\pi\) | |||||||
\(312\) | 19.0829 | + | 22.7421i | 1.08036 | + | 1.28752i | ||||
\(313\) | −6.94491 | + | 12.0289i | −0.392549 | + | 0.679915i | −0.992785 | − | 0.119908i | \(-0.961740\pi\) |
0.600236 | + | 0.799823i | \(0.295073\pi\) | |||||||
\(314\) | −6.63404 | −0.374380 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.33544 | 0.131379 | ||||||||
\(317\) | 3.09105 | − | 5.35386i | 0.173611 | − | 0.300703i | −0.766069 | − | 0.642759i | \(-0.777790\pi\) |
0.939680 | + | 0.342056i | \(0.111123\pi\) | |||||||
\(318\) | 1.64749 | − | 0.290497i | 0.0923866 | − | 0.0162903i | ||||
\(319\) | −2.05438 | − | 3.55829i | −0.115023 | − | 0.199226i | ||||
\(320\) | −21.7665 | −1.21678 | ||||||||
\(321\) | 11.1172 | − | 1.96026i | 0.620502 | − | 0.109411i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.47565 | −0.471598 | ||||||||
\(324\) | −1.27403 | + | 1.06904i | −0.0707796 | + | 0.0593912i | ||||
\(325\) | 4.10947 | − | 7.11781i | 0.227952 | − | 0.394825i | ||||
\(326\) | 10.2909 | 0.569958 | ||||||||
\(327\) | 11.8439 | + | 14.1150i | 0.654969 | + | 0.780561i | ||||
\(328\) | 3.27719 | − | 5.67626i | 0.180952 | − | 0.313419i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.77719 | − | 2.11797i | −0.0978310 | − | 0.116590i | ||||
\(331\) | −5.36571 | + | 9.29369i | −0.294926 | + | 0.510827i | −0.974968 | − | 0.222346i | \(-0.928628\pi\) |
0.680041 | + | 0.733174i | \(0.261962\pi\) | |||||||
\(332\) | 0.252374 | − | 0.437124i | 0.0138508 | − | 0.0239903i | ||||
\(333\) | 4.00088 | − | 22.6901i | 0.219247 | − | 1.24341i | ||||
\(334\) | −3.80974 | − | 6.59867i | −0.208460 | − | 0.361063i | ||||
\(335\) | −12.2023 | − | 21.1351i | −0.666685 | − | 1.15473i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.29726 | − | 16.1033i | 0.506454 | − | 0.877204i | −0.493518 | − | 0.869735i | \(-0.664289\pi\) |
0.999972 | − | 0.00746831i | \(-0.00237726\pi\) | |||||||
\(338\) | 28.1676 | 1.53211 | ||||||||
\(339\) | 5.76382 | + | 6.86906i | 0.313048 | + | 0.373076i | ||||
\(340\) | −1.81521 | −0.0984434 | ||||||||
\(341\) | −1.79679 | − | 3.11213i | −0.0973016 | − | 0.168531i | ||||
\(342\) | −6.76470 | − | 5.67626i | −0.365793 | − | 0.306937i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.80541 | + | 3.12706i | 0.0973410 | + | 0.168600i | ||||
\(345\) | 0.159100 | − | 0.437124i | 0.00856567 | − | 0.0235340i | ||||
\(346\) | 14.1932 | + | 24.5834i | 0.763034 | + | 1.32161i | ||||
\(347\) | 10.2062 | + | 17.6777i | 0.547898 | + | 0.948987i | 0.998418 | + | 0.0562207i | \(0.0179050\pi\) |
−0.450521 | + | 0.892766i | \(0.648762\pi\) | |||||||
\(348\) | −1.80659 | − | 2.15301i | −0.0968434 | − | 0.115413i | ||||
\(349\) | −1.78106 | − | 3.08489i | −0.0953379 | − | 0.165130i | 0.814412 | − | 0.580288i | \(-0.197060\pi\) |
−0.909750 | + | 0.415157i | \(0.863726\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 30.2569i | 1.61500i | ||||||||
\(352\) | −0.243756 | − | 0.422197i | −0.0129922 | − | 0.0225032i | ||||
\(353\) | −10.0223 | −0.533433 | −0.266716 | − | 0.963775i | \(-0.585939\pi\) | ||||
−0.266716 | + | 0.963775i | \(0.585939\pi\) | |||||||
\(354\) | −0.587811 | + | 1.61500i | −0.0312418 | + | 0.0858361i | ||||
\(355\) | −33.5107 | −1.77857 | ||||||||
\(356\) | 0.749686 | − | 1.29849i | 0.0397333 | − | 0.0688200i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.44949 | + | 5.97470i | 0.182311 | + | 0.315773i | ||||
\(359\) | −4.74035 | − | 8.21053i | −0.250186 | − | 0.433335i | 0.713391 | − | 0.700766i | \(-0.247159\pi\) |
−0.963577 | + | 0.267431i | \(0.913825\pi\) | |||||||
\(360\) | −17.1288 | − | 14.3728i | −0.902768 | − | 0.757512i | ||||
\(361\) | 7.11334 | − | 12.3207i | 0.374386 | − | 0.648456i | ||||
\(362\) | −0.215537 | + | 0.373321i | −0.0113284 | + | 0.0196213i | ||||
\(363\) | −6.38666 | + | 17.5472i | −0.335213 | + | 0.920989i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.0005 | − | 22.5175i | 0.680476 | − | 1.17862i | ||||
\(366\) | 2.20187 | − | 0.388249i | 0.115093 | − | 0.0202941i | ||||
\(367\) | −16.1334 | −0.842157 | −0.421079 | − | 0.907024i | \(-0.638348\pi\) | ||||
−0.421079 | + | 0.907024i | \(0.638348\pi\) | |||||||
\(368\) | −0.190722 | + | 0.330341i | −0.00994209 | + | 0.0172202i | ||||
\(369\) | 6.27719 | − | 2.28471i | 0.326777 | − | 0.118937i | ||||
\(370\) | 26.2003 | 1.36209 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1.58007 | − | 1.88305i | −0.0819228 | − | 0.0976318i | ||||
\(373\) | 14.0496 | 0.727462 | 0.363731 | − | 0.931504i | \(-0.381503\pi\) | ||||
0.363731 | + | 0.931504i | \(0.381503\pi\) | |||||||
\(374\) | 1.22281 | + | 2.11797i | 0.0632301 | + | 0.109518i | ||||
\(375\) | 5.38279 | − | 14.7891i | 0.277966 | − | 0.763705i | ||||
\(376\) | 7.84864 | − | 13.5942i | 0.404763 | − | 0.701070i | ||||
\(377\) | −51.1317 | −2.63341 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0574 | 0.824812 | 0.412406 | − | 0.911000i | \(-0.364689\pi\) | ||||
0.412406 | + | 0.911000i | \(0.364689\pi\) | |||||||
\(380\) | −0.511144 | + | 0.885328i | −0.0262212 | + | 0.0454164i | ||||
\(381\) | −5.26171 | + | 14.4564i | −0.269565 | + | 0.740625i | ||||
\(382\) | 10.4868 | + | 18.1637i | 0.536551 | + | 0.929334i | ||||
\(383\) | 32.0205 | 1.63617 | 0.818086 | − | 0.575095i | \(-0.195035\pi\) | ||||
0.818086 | + | 0.575095i | \(0.195035\pi\) | |||||||
\(384\) | 10.5744 | + | 12.6021i | 0.539625 | + | 0.643100i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.14022 | 0.414326 | ||||||||
\(387\) | −0.639033 | + | 3.62414i | −0.0324839 | + | 0.184225i | ||||
\(388\) | 1.25696 | − | 2.17712i | 0.0638124 | − | 0.110526i | ||||
\(389\) | −30.0428 | −1.52323 | −0.761616 | − | 0.648029i | \(-0.775594\pi\) | ||||
−0.761616 | + | 0.648029i | \(0.775594\pi\) | |||||||
\(390\) | −33.8842 | + | 5.97470i | −1.71579 | + | 0.302541i | ||||
\(391\) | −0.205737 | + | 0.356347i | −0.0104046 | + | 0.0180212i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.73127 | + | 18.4940i | −0.339548 | + | 0.932899i | ||||
\(394\) | −16.9991 | + | 29.4433i | −0.856403 | + | 1.48333i | ||||
\(395\) | −16.0005 | + | 27.7136i | −0.805071 | + | 1.39442i | ||||
\(396\) | 0.0450442 | − | 0.255459i | 0.00226356 | − | 0.0128373i | ||||
\(397\) | −6.15998 | − | 10.6694i | −0.309160 | − | 0.535482i | 0.669019 | − | 0.743246i | \(-0.266715\pi\) |
−0.978179 | + | 0.207764i | \(0.933381\pi\) | |||||||
\(398\) | 2.04916 | + | 3.54925i | 0.102715 | + | 0.177908i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.53802 | − | 4.39598i | 0.126901 | − | 0.219799i | ||||
\(401\) | 20.9760 | 1.04749 | 0.523745 | − | 0.851875i | \(-0.324535\pi\) | ||||
0.523745 | + | 0.851875i | \(0.324535\pi\) | |||||||
\(402\) | −7.69253 | + | 21.1351i | −0.383669 | + | 1.05412i | ||||
\(403\) | −44.7205 | −2.22769 | ||||||||
\(404\) | 0.884600 | + | 1.53217i | 0.0440105 | + | 0.0762284i | ||||
\(405\) | −3.95723 | − | 22.4426i | −0.196637 | − | 1.11518i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.79679 | + | 3.11213i | 0.0890635 | + | 0.154263i | ||||
\(408\) | 12.7135 | + | 15.1513i | 0.629411 | + | 0.750103i | ||||
\(409\) | 12.8307 | + | 22.2234i | 0.634437 | + | 1.09888i | 0.986634 | + | 0.162951i | \(0.0521012\pi\) |
−0.352197 | + | 0.935926i | \(0.614565\pi\) | |||||||
\(410\) | 3.79813 | + | 6.57856i | 0.187576 | + | 0.324892i | ||||
\(411\) | −3.39124 | + | 9.31737i | −0.167278 | + | 0.459592i | ||||
\(412\) | −0.281059 | − | 0.486809i | −0.0138468 | − | 0.0239833i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.402856 | + | 0.146628i | −0.0197993 | + | 0.00720635i | ||||
\(415\) | 3.45811 | + | 5.98962i | 0.169752 | + | 0.294019i | ||||
\(416\) | −6.06687 | −0.297453 | ||||||||
\(417\) | 1.02869 | + | 1.22594i | 0.0503749 | + | 0.0600345i | ||||
\(418\) | 1.37733 | 0.0673672 | ||||||||
\(419\) | −0.739885 | + | 1.28152i | −0.0361458 | + | 0.0626063i | −0.883532 | − | 0.468370i | \(-0.844841\pi\) |
0.847387 | + | 0.530976i | \(0.178175\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.55350 | − | 11.3510i | −0.319398 | − | 0.553214i | 0.660965 | − | 0.750417i | \(-0.270147\pi\) |
−0.980363 | + | 0.197203i | \(0.936814\pi\) | |||||||
\(422\) | 3.67365 | + | 6.36295i | 0.178830 | + | 0.309743i | ||||
\(423\) | 15.0334 | − | 5.47172i | 0.730951 | − | 0.266044i | ||||
\(424\) | −1.05509 | + | 1.82747i | −0.0512398 | + | 0.0887500i | ||||
\(425\) | 2.73783 | − | 4.74205i | 0.132804 | − | 0.230023i | ||||
\(426\) | 19.8516 | + | 23.6583i | 0.961815 | + | 1.14625i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.602196 | + | 1.04303i | −0.0291083 | + | 0.0504170i | ||||
\(429\) | −3.03343 | − | 3.61510i | −0.146456 | − | 0.174539i | ||||
\(430\) | −4.18479 | −0.201809 | ||||||||
\(431\) | −8.86349 | + | 15.3520i | −0.426939 | + | 0.739481i | −0.996599 | − | 0.0823997i | \(-0.973742\pi\) |
0.569660 | + | 0.821881i | \(0.307075\pi\) | |||||||
\(432\) | 18.6867i | 0.899067i | ||||||||
\(433\) | 5.83843 | 0.280577 | 0.140289 | − | 0.990111i | \(-0.455197\pi\) | ||||
0.140289 | + | 0.990111i | \(0.455197\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 37.9261 | − | 6.68739i | 1.81842 | − | 0.320636i | ||||
\(436\) | −1.96585 | −0.0941472 | ||||||||
\(437\) | 0.115867 | + | 0.200688i | 0.00554267 | + | 0.00960019i | ||||
\(438\) | −23.5985 | + | 4.16106i | −1.12758 | + | 0.198823i | ||||
\(439\) | 14.9277 | − | 25.8555i | 0.712459 | − | 1.23401i | −0.251473 | − | 0.967864i | \(-0.580915\pi\) |
0.963931 | − | 0.266151i | \(-0.0857518\pi\) | |||||||
\(440\) | 3.48751 | 0.166261 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 30.4347 | 1.44763 | ||||||||
\(443\) | −5.33275 | + | 9.23659i | −0.253367 | + | 0.438844i | −0.964451 | − | 0.264263i | \(-0.914871\pi\) |
0.711084 | + | 0.703107i | \(0.248205\pi\) | |||||||
\(444\) | 1.58007 | + | 1.88305i | 0.0749868 | + | 0.0893658i | ||||
\(445\) | 10.2724 | + | 17.7924i | 0.486960 | + | 0.843440i | ||||
\(446\) | −19.1215 | −0.905432 | ||||||||
\(447\) | 5.16843 | − | 14.2002i | 0.244459 | − | 0.671644i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.55438 | 0.167741 | 0.0838707 | − | 0.996477i | \(-0.473272\pi\) | ||||
0.0838707 | + | 0.996477i | \(0.473272\pi\) | |||||||
\(450\) | 5.36097 | − | 1.95123i | 0.252718 | − | 0.0919820i | ||||
\(451\) | −0.520945 | + | 0.902302i | −0.0245303 | + | 0.0424878i | ||||
\(452\) | −0.956680 | −0.0449985 | ||||||||
\(453\) | 10.9161 | − | 29.9916i | 0.512881 | − | 1.40913i | ||||
\(454\) | −1.94949 | + | 3.37662i | −0.0914942 | + | 0.158473i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.9697 | − | 1.93426i | 0.513704 | − | 0.0905799i | ||||
\(457\) | −2.51161 | + | 4.35024i | −0.117488 | + | 0.203496i | −0.918772 | − | 0.394789i | \(-0.870818\pi\) |
0.801283 | + | 0.598285i | \(0.204151\pi\) | |||||||
\(458\) | 6.17571 | − | 10.6966i | 0.288572 | − | 0.499821i | ||||
\(459\) | 20.1579i | 0.940889i | ||||||||
\(460\) | 0.0248149 | + | 0.0429807i | 0.00115700 | + | 0.00200399i | ||||
\(461\) | 9.23055 | + | 15.9878i | 0.429910 | + | 0.744625i | 0.996865 | − | 0.0791233i | \(-0.0252121\pi\) |
−0.566955 | + | 0.823749i | \(0.691879\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.11721 | − | 12.3274i | 0.330765 | − | 0.572902i | −0.651897 | − | 0.758307i | \(-0.726027\pi\) |
0.982662 | + | 0.185406i | \(0.0593600\pi\) | |||||||
\(464\) | −31.5790 | −1.46602 | ||||||||
\(465\) | 33.1707 | − | 5.84889i | 1.53825 | − | 0.271236i | ||||
\(466\) | 17.8803 | 0.828290 | ||||||||
\(467\) | −1.68433 | − | 2.91734i | −0.0779413 | − | 0.134998i | 0.824420 | − | 0.565978i | \(-0.191501\pi\) |
−0.902362 | + | 0.430980i | \(0.858168\pi\) | |||||||
\(468\) | −2.47288 | − | 2.07499i | −0.114309 | − | 0.0959165i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.09627 | + | 15.7552i | 0.419579 | + | 0.726733i | ||||
\(471\) | 8.39899 | − | 1.48097i | 0.387005 | − | 0.0682394i | ||||
\(472\) | −1.08394 | − | 1.87744i | −0.0498924 | − | 0.0864162i | ||||
\(473\) | −0.286989 | − | 0.497079i | −0.0131958 | − | 0.0228557i | ||||
\(474\) | 29.0442 | − | 5.12127i | 1.33404 | − | 0.235228i | ||||
\(475\) | −1.54189 | − | 2.67063i | −0.0707467 | − | 0.122537i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.02094 | + | 0.735564i | −0.0925327 | + | 0.0336791i | ||||
\(478\) | −6.42468 | − | 11.1279i | −0.293858 | − | 0.508977i | ||||
\(479\) | 36.7665 | 1.67990 | 0.839952 | − | 0.542660i | \(-0.182583\pi\) | ||||
0.839952 | + | 0.542660i | \(0.182583\pi\) | |||||||
\(480\) | 4.50000 | − | 0.793471i | 0.205396 | − | 0.0362168i | ||||
\(481\) | 44.7205 | 2.03908 | ||||||||
\(482\) | −6.03462 | + | 10.4523i | −0.274869 | + | 0.476087i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.996130 | − | 1.72535i | −0.0452786 | − | 0.0784249i | ||||
\(485\) | 17.2233 | + | 29.8316i | 0.782069 | + | 1.35458i | ||||
\(486\) | −13.5000 | + | 16.0887i | −0.612372 | + | 0.729797i | ||||
\(487\) | 18.7087 | − | 32.4045i | 0.847773 | − | 1.46839i | −0.0354172 | − | 0.999373i | \(-0.511276\pi\) |
0.883191 | − | 0.469014i | \(-0.155391\pi\) | |||||||
\(488\) | −1.41013 | + | 2.44242i | −0.0638336 | + | 0.110563i | ||||
\(489\) | −13.0287 | + | 2.29731i | −0.589178 | + | 0.103888i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.3353 | − | 23.0974i | 0.601813 | − | 1.04237i | −0.390734 | − | 0.920504i | \(-0.627779\pi\) |
0.992547 | − | 0.121866i | \(-0.0388879\pi\) | |||||||
\(492\) | −0.243756 | + | 0.669713i | −0.0109894 | + | 0.0301930i | ||||
\(493\) | −34.0651 | −1.53422 | ||||||||
\(494\) | 8.57011 | − | 14.8439i | 0.385587 | − | 0.667857i | ||||
\(495\) | 2.72281 | + | 2.28471i | 0.122381 | + | 0.102690i | ||||
\(496\) | −27.6195 | −1.24015 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.18004 | − | 5.98962i | 0.0976901 | − | 0.268401i | ||||
\(499\) | 33.7452 | 1.51064 | 0.755320 | − | 0.655356i | \(-0.227481\pi\) | ||||
0.755320 | + | 0.655356i | \(0.227481\pi\) | |||||||
\(500\) | 0.839556 | + | 1.45415i | 0.0375461 | + | 0.0650317i | ||||
\(501\) | 6.29638 | + | 7.50373i | 0.281301 | + | 0.335242i | ||||
\(502\) | −16.8400 | + | 29.1678i | −0.751607 | + | 1.30182i | ||||
\(503\) | 32.0401 | 1.42860 | 0.714299 | − | 0.699840i | \(-0.246745\pi\) | ||||
0.714299 | + | 0.699840i | \(0.246745\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.2422 | −1.07876 | ||||||||
\(506\) | 0.0334331 | − | 0.0579078i | 0.00148628 | − | 0.00257431i | ||||
\(507\) | −35.6614 | + | 6.28806i | −1.58378 | + | 0.279263i | ||||
\(508\) | −0.820670 | − | 1.42144i | −0.0364114 | − | 0.0630663i | ||||
\(509\) | 7.93851 | 0.351868 | 0.175934 | − | 0.984402i | \(-0.443705\pi\) | ||||
0.175934 | + | 0.984402i | \(0.443705\pi\) | |||||||
\(510\) | −22.5744 | + | 3.98048i | −0.999613 | + | 0.176259i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −24.9186 | −1.10126 | ||||||||
\(513\) | 9.83157 | + | 5.67626i | 0.434074 | + | 0.250613i | ||||
\(514\) | 7.31046 | − | 12.6621i | 0.322451 | − | 0.558501i | ||||
\(515\) | 7.70233 | 0.339405 | ||||||||
\(516\) | −0.252374 | − | 0.300767i | −0.0111101 | − | 0.0132405i | ||||
\(517\) | −1.24763 | + | 2.16095i | −0.0548705 | + | 0.0950386i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.4572 | − | 27.9552i | −1.02966 | − | 1.22710i | ||||
\(520\) | 21.7003 | − | 37.5860i | 0.951620 | − | 1.64825i | ||||
\(521\) | −7.33750 | + | 12.7089i | −0.321462 | + | 0.556788i | −0.980790 | − | 0.195067i | \(-0.937507\pi\) |
0.659328 | + | 0.751855i | \(0.270841\pi\) | |||||||
\(522\) | −27.1885 | − | 22.8139i | −1.19001 | − | 0.998536i | ||||
\(523\) | 14.1716 | + | 24.5459i | 0.619680 | + | 1.07332i | 0.989544 | + | 0.144232i | \(0.0460711\pi\) |
−0.369864 | + | 0.929086i | \(0.620596\pi\) | |||||||
\(524\) | −1.04988 | − | 1.81844i | −0.0458641 | − | 0.0794390i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.5737 | + | 30.4386i | −0.766251 | + | 1.32719i | ||||
\(527\) | −29.7939 | −1.29784 | ||||||||
\(528\) | −1.87346 | − | 2.23270i | −0.0815317 | − | 0.0971657i | ||||
\(529\) | −22.9887 | −0.999511 | ||||||||
\(530\) | −1.22281 | − | 2.11797i | −0.0531155 | − | 0.0919988i | ||||
\(531\) | 0.383666 | − | 2.17588i | 0.0166497 | − | 0.0944251i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.48293 | + | 11.2288i | 0.280807 | + | 0.486371i | ||||
\(534\) | 6.47590 | − | 17.7924i | 0.280240 | − | 0.769952i | ||||
\(535\) | −8.25150 | − | 14.2920i | −0.356743 | − | 0.617898i | ||||
\(536\) | −14.1853 | − | 24.5696i | −0.612710 | − | 1.06124i | ||||
\(537\) | −5.70099 | − | 6.79417i | −0.246016 | − | 0.293190i | ||||
\(538\) | −5.14203 | − | 8.90625i | −0.221688 | − | 0.383976i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.10560 | + | 1.21567i | 0.0906106 | + | 0.0523141i | ||||
\(541\) | −5.64290 | − | 9.77380i | −0.242607 | − | 0.420208i | 0.718849 | − | 0.695166i | \(-0.244669\pi\) |
−0.961456 | + | 0.274958i | \(0.911336\pi\) | |||||||
\(542\) | −4.58584 | −0.196979 | ||||||||
\(543\) | 0.189540 | − | 0.520758i | 0.00813395 | − | 0.0223478i | ||||
\(544\) | −4.04189 | −0.173295 | ||||||||
\(545\) | 13.4684 | − | 23.3279i | 0.576922 | − | 0.999258i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.6202 | + | 25.3229i | 0.625115 | + | 1.08273i | 0.988519 | + | 0.151099i | \(0.0482812\pi\) |
−0.363404 | + | 0.931632i | \(0.618385\pi\) | |||||||
\(548\) | −0.528934 | − | 0.916140i | −0.0225949 | − | 0.0391356i | ||||
\(549\) | −2.70099 | + | 0.983080i | −0.115275 | + | 0.0419568i | ||||
\(550\) | −0.444907 | + | 0.770602i | −0.0189709 | + | 0.0328586i | ||||
\(551\) | −9.59240 | + | 16.6145i | −0.408650 | + | 0.707802i | ||||
\(552\) | 0.184955 | − | 0.508159i | 0.00787219 | − | 0.0216287i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.85457 | − | 6.67631i | 0.163765 | − | 0.283649i | ||||
\(555\) | −33.1707 | + | 5.84889i | −1.40802 | + | 0.248272i | ||||
\(556\) | −0.170741 | −0.00724105 | ||||||||
\(557\) | 0.387841 | − | 0.671761i | 0.0164334 | − | 0.0284634i | −0.857692 | − | 0.514164i | \(-0.828102\pi\) |
0.874125 | + | 0.485701i | \(0.161436\pi\) | |||||||
\(558\) | −23.7795 | − | 19.9533i | −1.00667 | − | 0.844692i | ||||
\(559\) | −7.14290 | −0.302113 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.02094 | − | 2.40847i | −0.0853243 | − | 0.101686i | ||||
\(562\) | 38.2327 | 1.61275 | ||||||||
\(563\) | 12.4761 | + | 21.6093i | 0.525806 | + | 0.910722i | 0.999548 | + | 0.0300588i | \(0.00956944\pi\) |
−0.473742 | + | 0.880663i | \(0.657097\pi\) | |||||||
\(564\) | −0.583778 | + | 1.60392i | −0.0245815 | + | 0.0675371i | ||||
\(565\) | 6.55438 | − | 11.3525i | 0.275745 | − | 0.477604i | ||||
\(566\) | −6.15888 | −0.258877 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −38.9564 | −1.63457 | ||||||||
\(569\) | 12.4017 | − | 21.4803i | 0.519905 | − | 0.900502i | −0.479827 | − | 0.877363i | \(-0.659301\pi\) |
0.999732 | − | 0.0231391i | \(-0.00736608\pi\) | |||||||
\(570\) | −4.41534 | + | 12.1311i | −0.184938 | + | 0.508114i | ||||
\(571\) | −4.39827 | − | 7.61803i | −0.184062 | − | 0.318805i | 0.759198 | − | 0.650860i | \(-0.225591\pi\) |
−0.943260 | + | 0.332055i | \(0.892258\pi\) | |||||||
\(572\) | 0.503490 | 0.0210520 | ||||||||
\(573\) | −17.3316 | − | 20.6550i | −0.724037 | − | 0.862873i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.149711 | −0.00624336 | ||||||||
\(576\) | −19.7554 | − | 16.5767i | −0.823140 | − | 0.690697i | ||||
\(577\) | −6.43717 | + | 11.1495i | −0.267983 | + | 0.464160i | −0.968341 | − | 0.249632i | \(-0.919690\pi\) |
0.700358 | + | 0.713792i | \(0.253024\pi\) | |||||||
\(578\) | −2.62773 | −0.109299 | ||||||||
\(579\) | −10.3059 | + | 1.81720i | −0.428298 | + | 0.0755204i | ||||
\(580\) | −2.05438 | + | 3.55829i | −0.0853034 | + | 0.147750i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 10.8578 | − | 29.8316i | 0.450071 | − | 1.23656i | ||||
\(583\) | 0.167718 | − | 0.290497i | 0.00694619 | − | 0.0120311i | ||||
\(584\) | 15.1131 | − | 26.1766i | 0.625384 | − | 1.08320i | ||||
\(585\) | 41.5651 | − | 15.1285i | 1.71851 | − | 0.625485i | ||||
\(586\) | 2.91534 | + | 5.04952i | 0.120432 | + | 0.208594i | ||||
\(587\) | 22.4315 | + | 38.8526i | 0.925849 | + | 1.60362i | 0.790190 | + | 0.612861i | \(0.209982\pi\) |
0.135658 | + | 0.990756i | \(0.456685\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.38965 | + | 14.5313i | −0.345690 | + | 0.598752i | ||||
\(590\) | 2.51249 | 0.103438 | ||||||||
\(591\) | 14.9488 | − | 41.0714i | 0.614911 | − | 1.68945i | ||||
\(592\) | 27.6195 | 1.13515 | ||||||||
\(593\) | 1.88026 | + | 3.25671i | 0.0772131 | + | 0.133737i | 0.902047 | − | 0.431639i | \(-0.142064\pi\) |
−0.824833 | + | 0.565376i | \(0.808731\pi\) | |||||||
\(594\) | − | 3.27573i | − | 0.134405i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.806123 | + | 1.39625i | 0.0330201 | + | 0.0571924i | ||||
\(597\) | −3.38666 | − | 4.03606i | −0.138607 | − | 0.165185i | ||||
\(598\) | −0.416060 | − | 0.720637i | −0.0170139 | − | 0.0294690i | ||||
\(599\) | 1.84524 | + | 3.19604i | 0.0753943 | + | 0.130587i | 0.901258 | − | 0.433283i | \(-0.142645\pi\) |
−0.825863 | + | 0.563870i | \(0.809312\pi\) | |||||||
\(600\) | −2.46127 | + | 6.76227i | −0.100481 | + | 0.276069i | ||||
\(601\) | −10.9285 | − | 18.9288i | −0.445785 | − | 0.772122i | 0.552322 | − | 0.833631i | \(-0.313742\pi\) |
−0.998107 | + | 0.0615091i | \(0.980409\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.02094 | − | 28.4752i | 0.204469 | − | 1.15960i | ||||
\(604\) | 1.70258 | + | 2.94896i | 0.0692771 | + | 0.119991i | ||||
\(605\) | 27.2986 | 1.10985 | ||||||||
\(606\) | 14.3610 | + | 17.1147i | 0.583374 | + | 0.695239i | ||||
\(607\) | −24.3946 | −0.990145 | −0.495072 | − | 0.868852i | \(-0.664858\pi\) | ||||
−0.495072 | + | 0.868852i | \(0.664858\pi\) | |||||||
\(608\) | −1.13816 | + | 1.97134i | −0.0461583 | + | 0.0799485i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.63429 | − | 2.83067i | −0.0661703 | − | 0.114610i | ||||
\(611\) | 15.5262 | + | 26.8921i | 0.628121 | + | 1.08794i | ||||
\(612\) | −1.64749 | − | 1.38241i | −0.0665958 | − | 0.0558805i | ||||
\(613\) | −21.0107 | + | 36.3917i | −0.848616 | + | 1.46985i | 0.0338284 | + | 0.999428i | \(0.489230\pi\) |
−0.882444 | + | 0.470418i | \(0.844103\pi\) | |||||||
\(614\) | 8.33796 | − | 14.4418i | 0.336493 | − | 0.582823i | ||||
\(615\) | −6.27719 | − | 7.48086i | −0.253121 | − | 0.301657i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.2049 | + | 40.1920i | −0.934192 | + | 1.61807i | −0.158125 | + | 0.987419i | \(0.550545\pi\) |
−0.776068 | + | 0.630650i | \(0.782788\pi\) | |||||||
\(618\) | −4.56283 | − | 5.43777i | −0.183544 | − | 0.218739i | ||||
\(619\) | 27.2094 | 1.09364 | 0.546820 | − | 0.837250i | \(-0.315838\pi\) | ||||
0.546820 | + | 0.837250i | \(0.315838\pi\) | |||||||
\(620\) | −1.79679 | + | 3.11213i | −0.0721608 | + | 0.124986i | ||||
\(621\) | 0.477301 | − | 0.275570i | 0.0191534 | − | 0.0110582i | ||||
\(622\) | 29.6209 | 1.18769 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −35.7196 | + | 6.29833i | −1.42993 | + | 0.252135i | ||||
\(625\) | −30.0651 | −1.20260 | ||||||||
\(626\) | −9.35685 | − | 16.2065i | −0.373975 | − | 0.647743i | ||||
\(627\) | −1.74376 | + | 0.307471i | −0.0696389 | + | 0.0122792i | ||||
\(628\) | −0.454956 | + | 0.788006i | −0.0181547 | + | 0.0314449i | ||||
\(629\) | 29.7939 | 1.18796 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.6023 | −1.17845 | −0.589224 | − | 0.807970i | \(-0.700566\pi\) | ||||
−0.589224 | + | 0.807970i | \(0.700566\pi\) | |||||||
\(632\) | −18.6006 | + | 32.2172i | −0.739892 | + | 1.28153i | ||||
\(633\) | −6.07145 | − | 7.23567i | −0.241319 | − | 0.287592i | ||||
\(634\) | 4.16456 | + | 7.21324i | 0.165396 | + | 0.286474i | ||||
\(635\) | 22.4902 | 0.892496 | ||||||||
\(636\) | 0.0784773 | − | 0.215615i | 0.00311183 | − | 0.00854968i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.53571 | 0.219161 | ||||||||
\(639\) | −30.4145 | − | 25.5208i | −1.20318 | − | 1.00959i | ||||
\(640\) | 12.0248 | − | 20.8276i | 0.475323 | − | 0.823283i | ||||
\(641\) | −0.279000 | −0.0110198 | −0.00550991 | − | 0.999985i | \(-0.501754\pi\) | ||||
−0.00550991 | + | 0.999985i | \(0.501754\pi\) | |||||||
\(642\) | −5.20187 | + | 14.2920i | −0.205301 | + | 0.564061i | ||||
\(643\) | −9.12196 | + | 15.7997i | −0.359735 | + | 0.623079i | −0.987916 | − | 0.154988i | \(-0.950466\pi\) |
0.628181 | + | 0.778067i | \(0.283800\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 5.29813 | − | 0.934204i | 0.208614 | − | 0.0367842i | ||||
\(646\) | 5.70961 | − | 9.88933i | 0.224642 | − | 0.389090i | ||||
\(647\) | 11.2285 | − | 19.4483i | 0.441438 | − | 0.764592i | −0.556359 | − | 0.830942i | \(-0.687802\pi\) |
0.997796 | + | 0.0663498i | \(0.0211353\pi\) | |||||||
\(648\) | −4.60030 | − | 26.0896i | −0.180717 | − | 1.02490i | ||||
\(649\) | 0.172304 | + | 0.298439i | 0.00676352 | + | 0.0117148i | ||||
\(650\) | 5.53667 | + | 9.58980i | 0.217166 | + | 0.376143i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.705737 | − | 1.22237i | 0.0276388 | − | 0.0478718i | ||||
\(653\) | −50.5313 | −1.97744 | −0.988721 | − | 0.149771i | \(-0.952146\pi\) | ||||
−0.988721 | + | 0.149771i | \(0.952146\pi\) | |||||||
\(654\) | −24.4479 | + | 4.31082i | −0.955989 | + | 0.168567i | ||||
\(655\) | 28.7716 | 1.12420 | ||||||||
\(656\) | 4.00387 | + | 6.93491i | 0.156325 | + | 0.270763i | ||||
\(657\) | 28.9479 | − | 10.5362i | 1.12937 | − | 0.411055i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.33631 | + | 2.31456i | 0.0520554 | + | 0.0901626i | 0.890879 | − | 0.454241i | \(-0.150089\pi\) |
−0.838824 | + | 0.544403i | \(0.816756\pi\) | |||||||
\(660\) | −0.373455 | + | 0.0658503i | −0.0145367 | + | 0.00256322i | ||||
\(661\) | −17.3050 | − | 29.9731i | −0.673086 | − | 1.16582i | −0.977024 | − | 0.213128i | \(-0.931635\pi\) |
0.303938 | − | 0.952692i | \(-0.401698\pi\) | |||||||
\(662\) | −7.22921 | − | 12.5214i | −0.280971 | − | 0.486656i | ||||
\(663\) | −38.5317 | + | 6.79417i | −1.49645 | + | 0.263864i | ||||
\(664\) | 4.02007 | + | 6.96296i | 0.156009 | + | 0.270215i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 23.7795 | + | 19.9533i | 0.921436 | + | 0.773176i | ||||
\(667\) | 0.465690 | + | 0.806598i | 0.0180316 | + | 0.0312316i | ||||
\(668\) | −1.04507 | −0.0404351 | ||||||||
\(669\) | 24.2087 | − | 4.26865i | 0.935964 | − | 0.165036i | ||||
\(670\) | 32.8803 | 1.27028 | ||||||||
\(671\) | 0.224155 | − | 0.388249i | 0.00865342 | − | 0.0149882i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.25624 | − | 14.3002i | −0.318255 | − | 0.551234i | 0.661869 | − | 0.749619i | \(-0.269763\pi\) |
−0.980124 | + | 0.198386i | \(0.936430\pi\) | |||||||
\(674\) | 12.5262 | + | 21.6959i | 0.482490 | + | 0.835697i | ||||
\(675\) | −6.35163 | + | 3.66712i | −0.244474 | + | 0.141147i | ||||
\(676\) | 1.93170 | − | 3.34581i | 0.0742963 | − | 0.128685i | ||||
\(677\) | −21.8790 | + | 37.8955i | −0.840877 | + | 1.45644i | 0.0482766 | + | 0.998834i | \(0.484627\pi\) |
−0.889154 | + | 0.457608i | \(0.848706\pi\) | |||||||
\(678\) | −11.8976 | + | 2.09786i | −0.456923 | + | 0.0805678i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 14.4572 | − | 25.0407i | 0.554410 | − | 0.960266i | ||||
\(681\) | 1.71436 | − | 4.71015i | 0.0656942 | − | 0.180493i | ||||
\(682\) | 4.84161 | 0.185395 | ||||||||
\(683\) | −14.1206 | + | 24.4576i | −0.540310 | + | 0.935845i | 0.458576 | + | 0.888655i | \(0.348360\pi\) |
−0.998886 | + | 0.0471895i | \(0.984974\pi\) | |||||||
\(684\) | −1.13816 | + | 0.414255i | −0.0435185 | + | 0.0158394i | ||||
\(685\) | 14.4953 | 0.553835 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.43083 | + | 14.9211i | −0.207199 | + | 0.569274i | ||||
\(688\) | −4.41147 | −0.168186 | ||||||||
\(689\) | −2.08718 | − | 3.61510i | −0.0795153 | − | 0.137725i | ||||
\(690\) | 0.402856 | + | 0.480105i | 0.0153365 | + | 0.0182773i | ||||
\(691\) | −14.5326 | + | 25.1711i | −0.552844 | + | 0.957555i | 0.445223 | + | 0.895420i | \(0.353124\pi\) |
−0.998068 | + | 0.0621351i | \(0.980209\pi\) | |||||||
\(692\) | 3.89344 | 0.148006 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.5016 | −1.04395 | ||||||||
\(695\) | 1.16978 | − | 2.02611i | 0.0443722 | − | 0.0768549i | ||||
\(696\) | 44.0892 | − | 7.77412i | 1.67120 | − | 0.294677i | ||||
\(697\) | 4.31908 | + | 7.48086i | 0.163597 | + | 0.283358i | ||||
\(698\) | 4.79923 | 0.181654 | ||||||||
\(699\) | −22.6373 | + | 3.99156i | −0.856221 | + | 0.150975i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.10876 | −0.0418771 | −0.0209386 | − | 0.999781i | \(-0.506665\pi\) | ||||
−0.0209386 | + | 0.999781i | \(0.506665\pi\) | |||||||
\(702\) | −35.3036 | − | 20.3825i | −1.33245 | − | 0.769289i | ||||
\(703\) | 8.38965 | − | 14.5313i | 0.316422 | − | 0.548059i | ||||
\(704\) | 4.02229 | 0.151596 | ||||||||
\(705\) | −15.0334 | − | 17.9161i | −0.566192 | − | 0.674761i | ||||
\(706\) | 6.75150 | − | 11.6939i | 0.254096 | − | 0.440107i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.151522 | + | 0.180576i | 0.00569453 | + | 0.00678648i | ||||
\(709\) | 9.23442 | − | 15.9945i | 0.346806 | − | 0.600686i | −0.638874 | − | 0.769311i | \(-0.720600\pi\) |
0.985680 | + | 0.168626i | \(0.0539329\pi\) | |||||||
\(710\) | 22.5744 | − | 39.1001i | 0.847204 | − | 1.46740i | ||||
\(711\) | −35.6279 | + | 12.9675i | −1.33615 | + | 0.486320i | ||||
\(712\) | 11.9418 | + | 20.6837i | 0.447536 | + | 0.775155i | ||||
\(713\) | 0.407299 | + | 0.705463i | 0.0152535 | + | 0.0264198i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.44949 | + | 5.97470i | −0.129004 | + | 0.223441i | ||||
\(716\) | 0.946251 | 0.0353631 | ||||||||
\(717\) | 10.6181 | + | 12.6541i | 0.396540 | + | 0.472578i | ||||
\(718\) | 12.7733 | 0.476696 | ||||||||
\(719\) | −16.8885 | − | 29.2517i | −0.629834 | − | 1.09090i | −0.987585 | − | 0.157087i | \(-0.949790\pi\) |
0.357751 | − | 0.933817i | \(-0.383544\pi\) | |||||||
\(720\) | 25.6707 | − | 9.34337i | 0.956691 | − | 0.348207i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 9.58378 | + | 16.5996i | 0.356671 | + | 0.617773i | ||||
\(723\) | 5.30675 | − | 14.5802i | 0.197360 | − | 0.542243i | ||||
\(724\) | 0.0295627 | + | 0.0512040i | 0.00109869 | + | 0.00190298i | ||||
\(725\) | −6.19712 | − | 10.7337i | −0.230155 | − | 0.398641i | ||||
\(726\) | −16.1716 | − | 19.2725i | −0.600184 | − | 0.715271i | ||||
\(727\) | 8.40214 | + | 14.5529i | 0.311618 | + | 0.539738i | 0.978713 | − | 0.205234i | \(-0.0657957\pi\) |
−0.667095 | + | 0.744973i | \(0.732462\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | 17.5155 | + | 30.3377i | 0.648277 | + | 1.12285i | ||||
\(731\) | −4.75877 | −0.176009 | ||||||||
\(732\) | 0.104885 | − | 0.288169i | 0.00387665 | − | 0.0106510i | ||||
\(733\) | 13.6364 | 0.503672 | 0.251836 | − | 0.967770i | \(-0.418966\pi\) | ||||
0.251836 | + | 0.967770i | \(0.418966\pi\) | |||||||
\(734\) | 10.8682 | − | 18.8243i | 0.401154 | − | 0.694819i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.0552549 | + | 0.0957044i | 0.00203672 | + | 0.00352771i | ||||
\(737\) | 2.25490 | + | 3.90560i | 0.0830603 | + | 0.143865i | ||||
\(738\) | −1.56283 | + | 8.86327i | −0.0575287 | + | 0.326261i | ||||
\(739\) | 16.0209 | − | 27.7491i | 0.589340 | − | 1.02077i | −0.404979 | − | 0.914326i | \(-0.632721\pi\) |
0.994319 | − | 0.106441i | \(-0.0339455\pi\) | |||||||
\(740\) | 1.79679 | − | 3.11213i | 0.0660513 | − | 0.114404i | ||||
\(741\) | −7.53643 | + | 20.7062i | −0.276858 | + | 0.760660i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.8764 | + | 29.2309i | −0.619137 | + | 1.07238i | 0.370507 | + | 0.928830i | \(0.379184\pi\) |
−0.989644 | + | 0.143547i | \(0.954149\pi\) | |||||||
\(744\) | 38.5611 | − | 6.79936i | 1.41372 | − | 0.249277i | ||||
\(745\) | −22.0915 | −0.809371 | ||||||||
\(746\) | −9.46451 | + | 16.3930i | −0.346520 | + | 0.600191i | ||||
\(747\) | −1.42292 | + | 8.06980i | −0.0520620 | + | 0.295258i | ||||
\(748\) | 0.335437 | 0.0122648 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 13.6297 | + | 16.2432i | 0.497686 | + | 0.593119i | ||||
\(751\) | 26.1165 | 0.953004 | 0.476502 | − | 0.879173i | \(-0.341904\pi\) | ||||
0.476502 | + | 0.879173i | \(0.341904\pi\) | |||||||
\(752\) | 9.58899 | + | 16.6086i | 0.349675 | + | 0.605654i | ||||
\(753\) | 14.8089 | − | 40.6870i | 0.539665 | − | 1.48272i | ||||
\(754\) | 34.4447 | − | 59.6600i | 1.25440 | − | 2.17269i | ||||
\(755\) | −46.6587 | −1.69808 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.6536 | 1.29585 | 0.647927 | − | 0.761703i | \(-0.275636\pi\) | ||||
0.647927 | + | 0.761703i | \(0.275636\pi\) | |||||||
\(758\) | −10.8170 | + | 18.7356i | −0.392892 | + | 0.680509i | ||||
\(759\) | −0.0294005 | + | 0.0807773i | −0.00106717 | + | 0.00293203i | ||||
\(760\) | −8.14203 | − | 14.1024i | −0.295342 | − | 0.511548i | ||||
\(761\) | −40.7648 | −1.47772 | −0.738861 | − | 0.673858i | \(-0.764636\pi\) | ||||
−0.738861 | + | 0.673858i | \(0.764636\pi\) | |||||||
\(762\) | −13.3231 | − | 15.8779i | −0.482645 | − | 0.575194i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.87670 | 0.104075 | ||||||||
\(765\) | 27.6917 | − | 10.0789i | 1.00119 | − | 0.364405i | ||||
\(766\) | −21.5706 | + | 37.3613i | −0.779377 | + | 1.34992i | ||||
\(767\) | 4.28850 | 0.154849 | ||||||||
\(768\) | 7.49841 | − | 1.32217i | 0.270575 | − | 0.0477098i | ||||
\(769\) | 19.7135 | − | 34.1447i | 0.710886 | − | 1.23129i | −0.253639 | − | 0.967299i | \(-0.581627\pi\) |
0.964525 | − | 0.263992i | \(-0.0850392\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.42871 | + | 17.6627i | −0.231524 | + | 0.636108i | ||||
\(772\) | 0.558248 | − | 0.966914i | 0.0200918 | − | 0.0348000i | ||||
\(773\) | 12.4513 | − | 21.5663i | 0.447842 | − | 0.775686i | −0.550403 | − | 0.834899i | \(-0.685526\pi\) |
0.998245 | + | 0.0592135i | \(0.0188593\pi\) | |||||||
\(774\) | −3.79813 | − | 3.18701i | −0.136521 | − | 0.114555i | ||||
\(775\) | −5.42009 | − | 9.38788i | −0.194695 | − | 0.337222i | ||||
\(776\) | 20.0221 | + | 34.6793i | 0.718752 | + | 1.24492i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.2383 | − | 35.0538i | 0.725578 | − | 1.25674i | ||||
\(779\) | 4.86484 | 0.174301 | ||||||||
\(780\) | −1.61406 | + | 4.43458i | −0.0577925 | + | 0.158784i | ||||
\(781\) | 6.19253 | 0.221586 | ||||||||
\(782\) | −0.277189 | − | 0.480105i | −0.00991225 | − | 0.0171685i | ||||
\(783\) | 39.5148 | + | 22.8139i | 1.41214 | + | 0.815301i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.23396 | − | 10.7975i | −0.222499 | − | 0.385380i | ||||
\(786\) | −17.0442 | − | 20.3124i | −0.607945 | − | 0.724521i | ||||
\(787\) | −15.3525 | − | 26.5913i | −0.547258 | − | 0.947879i | −0.998461 | − | 0.0554572i | \(-0.982338\pi\) |
0.451203 | − | 0.892421i | \(-0.350995\pi\) | |||||||
\(788\) | 2.33157 | + | 4.03839i | 0.0830586 | + | 0.143862i | ||||
\(789\) | 15.4541 | − | 42.4597i | 0.550180 | − | 1.51161i | ||||
\(790\) | −21.5574 | − | 37.3385i | −0.766977 | − | 1.32844i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 3.16528 | + | 2.65598i | 0.112473 | + | 0.0943763i | ||||
\(793\) | −2.78952 | − | 4.83158i | −0.0990586 | − | 0.171575i | ||||
\(794\) | 16.5986 | 0.589063 | ||||||||
\(795\) | 2.02094 | + | 2.40847i | 0.0716755 | + | 0.0854196i | ||||
\(796\) | 0.562118 | 0.0199238 | ||||||||
\(797\) | −5.50686 | + | 9.53817i | −0.195063 | + | 0.337859i | −0.946921 | − | 0.321466i | \(-0.895825\pi\) |
0.751858 | + | 0.659325i | \(0.229158\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.3439 | + | 17.9161i | 0.365941 | + | 0.633828i | ||||
\(800\) | −0.735300 | − | 1.27358i | −0.0259968 | − | 0.0450277i | ||||
\(801\) | −4.22684 | + | 23.9716i | −0.149348 | + | 0.846996i | ||||
\(802\) | −14.1304 | + | 24.4746i | −0.498962 | + | 0.864228i | ||||
\(803\) | −2.40239 | + | 4.16106i | −0.0847785 | + | 0.146841i | ||||
\(804\) | 1.98293 | + | 2.36316i | 0.0699324 | + | 0.0833422i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 30.1259 | − | 52.1796i | 1.06114 | − | 1.83795i | ||||
\(807\) | 8.49825 | + | 10.1278i | 0.299152 | + | 0.356516i | ||||
\(808\) | −28.1816 | −0.991425 | ||||||||
\(809\) | −8.49407 | + | 14.7122i | −0.298636 | + | 0.517252i | −0.975824 | − | 0.218558i | \(-0.929865\pi\) |
0.677188 | + | 0.735810i | \(0.263198\pi\) | |||||||
\(810\) | 28.8516 | + | 10.5011i | 1.01374 | + | 0.368972i | ||||
\(811\) | −37.9796 | −1.33364 | −0.666822 | − | 0.745217i | \(-0.732346\pi\) | ||||
−0.666822 | + | 0.745217i | \(0.732346\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.80587 | − | 1.02373i | 0.203621 | − | 0.0359039i | ||||
\(814\) | −4.84161 | −0.169699 | ||||||||
\(815\) | 9.67024 | + | 16.7494i | 0.338734 | + | 0.586704i | ||||
\(816\) | −23.7973 | + | 4.19610i | −0.833071 | + | 0.146893i | ||||
\(817\) | −1.34002 | + | 2.32099i | −0.0468814 | + | 0.0812011i | ||||
\(818\) | −34.5735 | −1.20883 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.04189 | 0.0363843 | ||||||||
\(821\) | −4.13934 | + | 7.16954i | −0.144464 | + | 0.250219i | −0.929173 | − | 0.369646i | \(-0.879479\pi\) |
0.784709 | + | 0.619864i | \(0.212812\pi\) | |||||||
\(822\) | −8.58693 | − | 10.2335i | −0.299504 | − | 0.356935i | ||||
\(823\) | −27.2763 | − | 47.2440i | −0.950792 | − | 1.64682i | −0.743716 | − | 0.668496i | \(-0.766938\pi\) |
−0.207077 | − | 0.978325i | \(-0.566395\pi\) | |||||||
\(824\) | 8.95399 | 0.311927 | ||||||||
\(825\) | 0.391245 | − | 1.07494i | 0.0136214 | − | 0.0374245i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −31.8708 | −1.10826 | −0.554129 | − | 0.832431i | \(-0.686948\pi\) | ||||
−0.554129 | + | 0.832431i | \(0.686948\pi\) | |||||||
\(828\) | −0.0102107 | + | 0.0579078i | −0.000354846 | + | 0.00201243i | ||||
\(829\) | −0.176174 | + | 0.305143i | −0.00611879 | + | 0.0105981i | −0.869069 | − | 0.494692i | \(-0.835281\pi\) |
0.862950 | + | 0.505290i | \(0.168614\pi\) | |||||||
\(830\) | −9.31820 | −0.323439 | ||||||||
\(831\) | −3.38965 | + | 9.31299i | −0.117586 | + | 0.323064i | ||||
\(832\) | 25.0278 | − | 43.3494i | 0.867683 | − | 1.50287i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.12339 | + | 0.374411i | −0.0735270 | + | 0.0129648i | ||||
\(835\) | 7.15998 | − | 12.4014i | 0.247781 | − | 0.429170i | ||||
\(836\) | 0.0944557 | − | 0.163602i | 0.00326682 | − | 0.00565829i | ||||
\(837\) | 34.5602 | + | 19.9533i | 1.19458 | + | 0.689688i | ||||
\(838\) | −0.996845 | − | 1.72659i | −0.0344354 | − | 0.0596439i | ||||
\(839\) | 12.5077 | + | 21.6640i | 0.431815 | + | 0.747926i | 0.997030 | − | 0.0770182i | \(-0.0245399\pi\) |
−0.565215 | + | 0.824944i | \(0.691207\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.0535 | + | 41.6619i | −0.829431 | + | 1.43662i | ||||
\(842\) | 17.6590 | 0.608570 | ||||||||
\(843\) | −48.4043 | + | 8.53498i | −1.66713 | + | 0.293960i | ||||
\(844\) | 1.00774 | 0.0346879 | ||||||||
\(845\) | 26.4688 | + | 45.8454i | 0.910556 | + | 1.57713i | ||||
\(846\) | −3.74288 | + | 21.2269i | −0.128683 | + | 0.729796i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.28905 | − | 2.23270i | −0.0442661 | − | 0.0766711i | ||||
\(849\) | 7.79742 | − | 1.37490i | 0.267607 | − | 0.0471863i | ||||
\(850\) | 3.68866 | + | 6.38895i | 0.126520 | + | 0.219139i | ||||
\(851\) | −0.407299 | − | 0.705463i | −0.0139620 | − | 0.0241829i | ||||
\(852\) | 4.17159 | − | 0.735564i | 0.142916 | − | 0.0252000i | ||||
\(853\) | 19.5954 | + | 33.9402i | 0.670933 | + | 1.16209i | 0.977640 | + | 0.210286i | \(0.0674397\pi\) |
−0.306706 | + | 0.951804i | \(0.599227\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.88191 | − | 16.3441i | 0.0985593 | − | 0.558958i | ||||
\(856\) | −9.59240 | − | 16.6145i | −0.327861 | − | 0.567873i | ||||
\(857\) | −16.4074 | −0.560465 | −0.280232 | − | 0.959932i | \(-0.590411\pi\) | ||||
−0.280232 | + | 0.959932i | \(0.590411\pi\) | |||||||
\(858\) | 6.26155 | − | 1.10408i | 0.213766 | − | 0.0376926i | ||||
\(859\) | 26.8324 | 0.915511 | 0.457756 | − | 0.889078i | \(-0.348653\pi\) | ||||
0.457756 | + | 0.889078i | \(0.348653\pi\) | |||||||
\(860\) | −0.286989 | + | 0.497079i | −0.00978624 | + | 0.0169503i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.9418 | − | 20.6837i | −0.406738 | − | 0.704490i | ||||
\(863\) | −7.25284 | − | 12.5623i | −0.246890 | − | 0.427625i | 0.715772 | − | 0.698334i | \(-0.246075\pi\) |
−0.962661 | + | 0.270709i | \(0.912742\pi\) | |||||||
\(864\) | 4.68850 | + | 2.70691i | 0.159506 | + | 0.0920909i | ||||
\(865\) | −26.6746 | + | 46.2017i | −0.906963 | + | 1.57091i | ||||
\(866\) | −3.93305 | + | 6.81224i | −0.133650 | + | 0.231489i | ||||
\(867\) | 3.32682 | − | 0.586608i | 0.112985 | − | 0.0199222i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.95677 | − | 5.12127i | 0.100301 | − | 0.173727i | ||||
\(870\) | −17.7460 | + | 48.7568i | −0.601647 | + | 1.65301i | ||||
\(871\) | 56.1225 | 1.90164 | ||||||||
\(872\) | 15.6570 | − | 27.1188i | 0.530214 | − | 0.918358i | ||||
\(873\) | −7.08693 | + | 40.1920i | −0.239856 | + | 1.36029i | ||||
\(874\) | −0.312214 | −0.0105608 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.12410 | + | 3.08845i | −0.0379800 | + | 0.104349i | ||||
\(877\) | 18.9145 | 0.638696 | 0.319348 | − | 0.947637i | \(-0.396536\pi\) | ||||
0.319348 | + | 0.947637i | \(0.396536\pi\) | |||||||
\(878\) | 20.1120 | + | 34.8350i | 0.678747 | + | 1.17562i | ||||
\(879\) | −4.81820 | − | 5.74211i | −0.162514 | − | 0.193676i | ||||
\(880\) | −2.13041 | + | 3.68999i | −0.0718163 | + | 0.124389i | ||||
\(881\) | −53.8976 | −1.81585 | −0.907927 | − | 0.419128i | \(-0.862336\pi\) | ||||
−0.907927 | + | 0.419128i | \(0.862336\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.4252 | 1.46137 | 0.730687 | − | 0.682712i | \(-0.239200\pi\) | ||||
0.730687 | + | 0.682712i | \(0.239200\pi\) | |||||||
\(884\) | 2.08718 | − | 3.61510i | 0.0701995 | − | 0.121589i | ||||
\(885\) | −3.18092 | + | 0.560882i | −0.106926 | + | 0.0188539i | ||||
\(886\) | −7.18479 | − | 12.4444i | −0.241378 | − | 0.418079i | ||||
\(887\) | 38.9600 | 1.30815 | 0.654074 | − | 0.756431i | \(-0.273058\pi\) | ||||
0.654074 | + | 0.756431i | \(0.273058\pi\) | |||||||
\(888\) | −38.5611 | + | 6.79936i | −1.29403 | + | 0.228172i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −27.6800 | −0.927837 | ||||||||
\(891\) | 0.731267 | + | 4.14722i | 0.0244984 | + | 0.138937i | ||||
\(892\) | −1.31134 | + | 2.27130i | −0.0439068 | + | 0.0760488i | ||||
\(893\) | 11.6509 | 0.389884 | ||||||||
\(894\) | 13.0869 | + | 15.5964i | 0.437693 | + | 0.521622i | ||||
\(895\) | −6.48293 | + | 11.2288i | −0.216700 | + | 0.375336i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.687623 | + | 0.819478i | 0.0229591 | + | 0.0273616i | ||||
\(898\) | −2.39440 | + | 4.14722i | −0.0799022 | + | 0.138395i | ||||
\(899\) | −33.7195 | + | 58.4038i | −1.12461 | + | 1.94788i | ||||
\(900\) | 0.135878 | − | 0.770602i | 0.00452926 | − | 0.0256867i | ||||
\(901\) | −1.39053 | − | 2.40847i | −0.0463253 | − | 0.0802377i | ||||
\(902\) | −0.701867 | − | 1.21567i | −0.0233696 | − | 0.0404773i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.61949 | − | 13.1973i | 0.253420 | − | 0.438937i | ||||
\(905\) | −0.810155 | −0.0269305 | ||||||||
\(906\) | 27.6404 | + | 32.9406i | 0.918292 | + | 1.09438i | ||||
\(907\) | 34.5276 | 1.14647 | 0.573236 | − | 0.819390i | \(-0.305688\pi\) | ||||
0.573236 | + | 0.819390i | \(0.305688\pi\) | |||||||
\(908\) | 0.267389 | + | 0.463131i | 0.00887360 | + | 0.0153695i | ||||
\(909\) | −22.0023 | − | 18.4621i | −0.729769 | − | 0.612349i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −23.2631 | − | 40.2929i | −0.770741 | − | 1.33496i | −0.937157 | − | 0.348907i | \(-0.886553\pi\) |
0.166416 | − | 0.986056i | \(-0.446780\pi\) | |||||||
\(912\) | −4.65451 | + | 12.7882i | −0.154126 | + | 0.423459i | ||||
\(913\) | −0.639033 | − | 1.10684i | −0.0211489 | − | 0.0366310i | ||||
\(914\) | −3.38388 | − | 5.86106i | −0.111929 | − | 0.193867i | ||||
\(915\) | 2.70099 | + | 3.21891i | 0.0892920 | + | 0.106414i | ||||
\(916\) | −0.847048 | − | 1.46713i | −0.0279873 | − | 0.0484753i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −23.5201 | − | 13.5793i | −0.776278 | − | 0.448184i | ||||
\(919\) | 4.97818 | + | 8.62246i | 0.164215 | + | 0.284429i | 0.936376 | − | 0.350998i | \(-0.114158\pi\) |
−0.772161 | + | 0.635427i | \(0.780824\pi\) | |||||||
\(920\) | −0.790555 | −0.0260638 | ||||||||
\(921\) | −7.33228 | + | 20.1453i | −0.241607 | + | 0.663809i | ||||
\(922\) | −24.8726 | −0.819135 | ||||||||
\(923\) | 38.5317 | − | 66.7388i | 1.26829 | − | 2.19674i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.42009 | + | 9.38788i | 0.178212 | + | 0.308671i | ||||
\(926\) | 9.58899 | + | 16.6086i | 0.315114 | + | 0.545793i | ||||
\(927\) | 6.99067 | + | 5.86587i | 0.229604 | + | 0.192660i | ||||
\(928\) | −4.57444 | + | 7.92317i | −0.150164 | + | 0.260091i | ||||
\(929\) | 4.52300 | − | 7.83407i | 0.148395 | − | 0.257028i | −0.782239 | − | 0.622978i | \(-0.785923\pi\) |
0.930634 | + | 0.365950i | \(0.119256\pi\) | |||||||
\(930\) | −15.5209 | + | 42.6434i | −0.508952 | + | 1.39833i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 1.22621 | − | 2.12387i | 0.0401660 | − | 0.0695696i | ||||
\(933\) | −37.5014 | + | 6.61251i | −1.22774 | + | 0.216484i | ||||
\(934\) | 4.53857 | 0.148507 | ||||||||
\(935\) | −2.29813 | + | 3.98048i | −0.0751570 | + | 0.130176i | ||||
\(936\) | 48.3196 | − | 17.5869i | 1.57938 | − | 0.574846i | ||||
\(937\) | 24.3928 | 0.796878 | 0.398439 | − | 0.917195i | \(-0.369552\pi\) | ||||
0.398439 | + | 0.917195i | \(0.369552\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.4641 | + | 18.4294i | 0.504652 | + | 0.601421i | ||||
\(940\) | 2.49525 | 0.0813862 | ||||||||
\(941\) | −29.7690 | − | 51.5615i | −0.970443 | − | 1.68086i | −0.694220 | − | 0.719763i | \(-0.744251\pi\) |
−0.276223 | − | 0.961094i | \(-0.589083\pi\) | |||||||
\(942\) | −3.92998 | + | 10.7975i | −0.128046 | + | 0.351802i | ||||
\(943\) | 0.118089 | − | 0.204535i | 0.00384549 | − | 0.00666059i | ||||
\(944\) | 2.64858 | 0.0862041 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.773318 | 0.0251428 | ||||||||
\(947\) | −4.32429 | + | 7.48989i | −0.140521 | + | 0.243389i | −0.927693 | − | 0.373344i | \(-0.878211\pi\) |
0.787172 | + | 0.616733i | \(0.211544\pi\) | |||||||
\(948\) | 1.38350 | − | 3.80115i | 0.0449341 | − | 0.123455i | ||||
\(949\) | 29.8967 | + | 51.7826i | 0.970487 | + | 1.68093i | ||||
\(950\) | 4.15476 | 0.134798 | ||||||||
\(951\) | −6.88279 | − | 8.20259i | −0.223190 | − | 0.265987i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.78249 | 0.122527 | 0.0612634 | − | 0.998122i | \(-0.480487\pi\) | ||||
0.0612634 | + | 0.998122i | \(0.480487\pi\) | |||||||
\(954\) | 0.503155 | − | 2.85353i | 0.0162903 | − | 0.0923866i | ||||
\(955\) | −19.7087 | + | 34.1365i | −0.637760 | + | 1.10463i | ||||
\(956\) | −1.76239 | −0.0569998 | ||||||||
\(957\) | −7.00846 | + | 1.23578i | −0.226551 | + | 0.0399471i | ||||
\(958\) | −24.7677 | + | 42.8989i | −0.800208 | + | 1.38600i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −12.8944 | + | 35.4271i | −0.416165 | + | 1.14340i | ||||
\(961\) | −13.9915 | + | 24.2341i | −0.451340 | + | 0.781744i | ||||
\(962\) | −30.1259 | + | 52.1796i | −0.971298 | + | 1.68234i | ||||
\(963\) | 3.39528 | − | 19.2556i | 0.109411 | − | 0.620502i | ||||
\(964\) | 0.827696 | + | 1.43361i | 0.0266583 | + | 0.0461735i | ||||
\(965\) | 7.64930 | + | 13.2490i | 0.246240 | + | 0.426500i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.4745 | − | 28.5346i | 0.529783 | − | 0.917611i | −0.469613 | − | 0.882872i | \(-0.655607\pi\) |
0.999396 | − | 0.0347392i | \(-0.0110601\pi\) | |||||||
\(968\) | 31.7347 | 1.01999 | ||||||||
\(969\) | −5.02094 | + | 13.7949i | −0.161296 | + | 0.443157i | ||||
\(970\) | −46.4097 | −1.49013 | ||||||||
\(971\) | −27.7285 | − | 48.0272i | −0.889850 | − | 1.54126i | −0.840052 | − | 0.542506i | \(-0.817476\pi\) |
−0.0497974 | − | 0.998759i | \(-0.515858\pi\) | |||||||
\(972\) | 0.985234 | + | 2.70691i | 0.0316014 | + | 0.0868241i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 25.2062 | + | 43.6584i | 0.807659 | + | 1.39891i | ||||
\(975\) | −9.15048 | − | 10.9051i | −0.293050 | − | 0.349243i | ||||
\(976\) | −1.72281 | − | 2.98400i | −0.0551458 | − | 0.0955154i | ||||
\(977\) | −28.2743 | − | 48.9724i | −0.904573 | − | 1.56677i | −0.821489 | − | 0.570225i | \(-0.806856\pi\) |
−0.0830847 | − | 0.996542i | \(-0.526477\pi\) | |||||||
\(978\) | 6.09627 | − | 16.7494i | 0.194937 | − | 0.535585i | ||||
\(979\) | −1.89827 | − | 3.28790i | −0.0606690 | − | 0.105082i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 29.9898 | − | 10.9154i | 0.957500 | − | 0.348502i | ||||
\(982\) | 17.9666 | + | 31.1190i | 0.573336 | + | 0.993047i | ||||
\(983\) | −28.9973 | −0.924871 | −0.462435 | − | 0.886653i | \(-0.653024\pi\) | ||||
−0.462435 | + | 0.886653i | \(0.653024\pi\) | |||||||
\(984\) | −7.29726 | − | 8.69653i | −0.232628 | − | 0.277235i | ||||
\(985\) | −63.8958 | −2.03589 | ||||||||
\(986\) | 22.9479 | − | 39.7469i | 0.730810 | − | 1.26580i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.17546 | − | 2.03596i | −0.0373963 | − | 0.0647724i | ||||
\(989\) | 0.0650551 | + | 0.112679i | 0.00206863 | + | 0.00358298i | ||||
\(990\) | −4.50000 | + | 1.63787i | −0.143019 | + | 0.0520548i | ||||
\(991\) | −3.40461 | + | 5.89696i | −0.108151 | + | 0.187323i | −0.915021 | − | 0.403406i | \(-0.867826\pi\) |
0.806870 | + | 0.590729i | \(0.201160\pi\) | |||||||
\(992\) | −4.00088 | + | 6.92972i | −0.127028 | + | 0.220019i | ||||
\(993\) | 11.9477 | + | 14.2388i | 0.379150 | + | 0.451853i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.85117 | + | 6.67042i | −0.122090 | + | 0.211466i | ||||
\(996\) | −0.561956 | − | 0.669713i | −0.0178063 | − | 0.0212207i | ||||
\(997\) | 38.9377 | 1.23317 | 0.616585 | − | 0.787289i | \(-0.288516\pi\) | ||||
0.616585 | + | 0.787289i | \(0.288516\pi\) | |||||||
\(998\) | −22.7324 | + | 39.3736i | −0.719580 | + | 1.24635i | ||||
\(999\) | −34.5602 | − | 19.9533i | −1.09344 | − | 0.631296i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))