Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (of order \(6\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.89539436150784.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} + 2x^{10} - 8x^{9} + 4x^{8} + 16x^{7} - 8x^{6} + 20x^{5} + 20x^{4} - 24x^{3} + 8x^{2} - 8x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 699.4 | ||
Root | \(-1.16746 - 0.312819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.699 |
Dual form | 845.2.l.e.654.4 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.769594 | + | 1.33298i | 0.544185 | + | 0.942557i | 0.998658 | + | 0.0517959i | \(0.0164945\pi\) |
−0.454472 | + | 0.890761i | \(0.650172\pi\) | |||||||
\(3\) | 2.74538 | − | 1.58504i | 1.58504 | − | 0.915125i | 0.590937 | − | 0.806718i | \(-0.298758\pi\) |
0.994107 | − | 0.108407i | \(-0.0345750\pi\) | |||||||
\(4\) | −0.184551 | + | 0.319652i | −0.0922756 | + | 0.159826i | ||||
\(5\) | −2.17009 | − | 0.539189i | −0.970492 | − | 0.241133i | ||||
\(6\) | 4.22565 | + | 2.43968i | 1.72511 | + | 0.995996i | ||||
\(7\) | 0.854638 | − | 1.48028i | 0.323023 | − | 0.559492i | −0.658088 | − | 0.752941i | \(-0.728634\pi\) |
0.981110 | + | 0.193450i | \(0.0619677\pi\) | |||||||
\(8\) | 2.51026 | 0.887511 | ||||||||
\(9\) | 3.52472 | − | 6.10500i | 1.17491 | − | 2.03500i | ||||
\(10\) | −0.951360 | − | 3.30763i | −0.300847 | − | 1.04596i | ||||
\(11\) | −2.19900 | + | 1.26959i | −0.663024 | + | 0.382797i | −0.793428 | − | 0.608664i | \(-0.791706\pi\) |
0.130404 | + | 0.991461i | \(0.458373\pi\) | |||||||
\(12\) | 1.17009i | 0.337775i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.63090 | 0.703137 | ||||||||
\(15\) | −6.81234 | + | 1.95941i | −1.75894 | + | 0.505916i | ||||
\(16\) | 2.30098 | + | 3.98542i | 0.575246 | + | 0.996355i | ||||
\(17\) | −0.798148 | − | 0.460811i | −0.193579 | − | 0.111763i | 0.400078 | − | 0.916481i | \(-0.368983\pi\) |
−0.593657 | + | 0.804718i | \(0.702316\pi\) | |||||||
\(18\) | 10.8504 | 2.55747 | ||||||||
\(19\) | 0.466951 | + | 0.269594i | 0.107126 | + | 0.0618492i | 0.552606 | − | 0.833443i | \(-0.313634\pi\) |
−0.445480 | + | 0.895292i | \(0.646967\pi\) | |||||||
\(20\) | 0.572845 | − | 0.594165i | 0.128092 | − | 0.132859i | ||||
\(21\) | − | 5.41855i | − | 1.18242i | ||||||
\(22\) | −3.38468 | − | 1.95415i | −0.721616 | − | 0.416625i | ||||
\(23\) | −2.45078 | + | 1.41496i | −0.511022 | + | 0.295039i | −0.733254 | − | 0.679955i | \(-0.761999\pi\) |
0.222231 | + | 0.974994i | \(0.428666\pi\) | |||||||
\(24\) | 6.89160 | − | 3.97887i | 1.40674 | − | 0.812183i | ||||
\(25\) | 4.41855 | + | 2.34017i | 0.883710 | + | 0.468035i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 12.8371i | − | 2.47050i | ||||||
\(28\) | 0.315449 | + | 0.546373i | 0.0596142 | + | 0.103255i | ||||
\(29\) | −2.56391 | − | 4.44083i | −0.476107 | − | 0.824641i | 0.523519 | − | 0.852014i | \(-0.324619\pi\) |
−0.999625 | + | 0.0273733i | \(0.991286\pi\) | |||||||
\(30\) | −7.85458 | − | 7.57274i | −1.43404 | − | 1.38259i | ||||
\(31\) | − | 0.879362i | − | 0.157938i | −0.996877 | − | 0.0789690i | \(-0.974837\pi\) | ||
0.996877 | − | 0.0789690i | \(-0.0251628\pi\) | |||||||
\(32\) | −1.03139 | + | 1.78642i | −0.182326 | + | 0.315797i | ||||
\(33\) | −4.02472 | + | 6.97103i | −0.700615 | + | 1.21350i | ||||
\(34\) | − | 1.41855i | − | 0.243279i | ||||||
\(35\) | −2.65279 | + | 2.75152i | −0.448403 | + | 0.465091i | ||||
\(36\) | 1.30098 | + | 2.25337i | 0.216831 | + | 0.375562i | ||||
\(37\) | 3.02472 | + | 5.23898i | 0.497262 | + | 0.861282i | 0.999995 | − | 0.00315916i | \(-0.00100559\pi\) |
−0.502733 | + | 0.864442i | \(0.667672\pi\) | |||||||
\(38\) | 0.829914i | 0.134630i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.44748 | − | 1.35350i | −0.861322 | − | 0.214008i | ||||
\(41\) | −1.09275 | + | 0.630898i | −0.170658 | + | 0.0985297i | −0.582896 | − | 0.812547i | \(-0.698081\pi\) |
0.412238 | + | 0.911076i | \(0.364747\pi\) | |||||||
\(42\) | 7.22280 | − | 4.17009i | 1.11450 | − | 0.643458i | ||||
\(43\) | 5.57017 | + | 3.21594i | 0.849443 | + | 0.490426i | 0.860463 | − | 0.509513i | \(-0.170174\pi\) |
−0.0110196 | + | 0.999939i | \(0.503508\pi\) | |||||||
\(44\) | − | 0.937221i | − | 0.141291i | ||||||
\(45\) | −10.9407 | + | 11.3479i | −1.63094 | + | 1.69164i | ||||
\(46\) | −3.77221 | − | 2.17789i | −0.556182 | − | 0.321112i | ||||
\(47\) | 5.70928 | 0.832783 | 0.416392 | − | 0.909185i | \(-0.363295\pi\) | ||||
0.416392 | + | 0.909185i | \(0.363295\pi\) | |||||||
\(48\) | 12.6341 | + | 7.29432i | 1.82358 | + | 1.05284i | ||||
\(49\) | 2.03919 | + | 3.53198i | 0.291313 | + | 0.504568i | ||||
\(50\) | 0.281096 | + | 7.69081i | 0.0397530 | + | 1.08764i | ||||
\(51\) | −2.92162 | −0.409109 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.49693i | 1.16714i | 0.812062 | + | 0.583571i | \(0.198345\pi\) | ||||
−0.812062 | + | 0.583571i | \(0.801655\pi\) | |||||||
\(54\) | 17.1116 | − | 9.87936i | 2.32859 | − | 1.34441i | ||||
\(55\) | 5.45658 | − | 1.56945i | 0.735765 | − | 0.211625i | ||||
\(56\) | 2.14536 | − | 3.71588i | 0.286686 | − | 0.496555i | ||||
\(57\) | 1.70928 | 0.226399 | ||||||||
\(58\) | 3.94635 | − | 6.83527i | 0.518181 | − | 0.897515i | ||||
\(59\) | −4.08990 | − | 2.36130i | −0.532459 | − | 0.307415i | 0.209558 | − | 0.977796i | \(-0.432797\pi\) |
−0.742017 | + | 0.670381i | \(0.766131\pi\) | |||||||
\(60\) | 0.630898 | − | 2.53919i | 0.0814485 | − | 0.327808i | ||||
\(61\) | −4.02472 | + | 6.97103i | −0.515313 | + | 0.892549i | 0.484529 | + | 0.874775i | \(0.338991\pi\) |
−0.999842 | + | 0.0177733i | \(0.994342\pi\) | |||||||
\(62\) | 1.17217 | − | 0.676752i | 0.148866 | − | 0.0859476i | ||||
\(63\) | −6.02472 | − | 10.4351i | −0.759044 | − | 1.31470i | ||||
\(64\) | 6.02893 | 0.753616 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −12.3896 | −1.52506 | ||||||||
\(67\) | 3.93302 | + | 6.81218i | 0.480494 | + | 0.832241i | 0.999750 | − | 0.0223786i | \(-0.00712394\pi\) |
−0.519255 | + | 0.854619i | \(0.673791\pi\) | |||||||
\(68\) | 0.294598 | − | 0.170086i | 0.0357253 | − | 0.0206260i | ||||
\(69\) | −4.48554 | + | 7.76918i | −0.539995 | + | 0.935299i | ||||
\(70\) | −5.70928 | − | 1.41855i | −0.682389 | − | 0.169549i | ||||
\(71\) | −12.5412 | − | 7.24067i | −1.48837 | − | 0.859309i | −0.488455 | − | 0.872589i | \(-0.662439\pi\) |
−0.999912 | + | 0.0132804i | \(0.995773\pi\) | |||||||
\(72\) | 8.84797 | − | 15.3251i | 1.04274 | − | 1.80608i | ||||
\(73\) | 1.95055 | 0.228295 | 0.114147 | − | 0.993464i | \(-0.463586\pi\) | ||||
0.114147 | + | 0.993464i | \(0.463586\pi\) | |||||||
\(74\) | −4.65562 | + | 8.06377i | −0.541205 | + | 0.937395i | ||||
\(75\) | 15.8399 | − | 0.578941i | 1.82903 | − | 0.0668503i | ||||
\(76\) | −0.172353 | + | 0.0995079i | −0.0197702 | + | 0.0114143i | ||||
\(77\) | 4.34017i | 0.494609i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.496928 | −0.0559088 | −0.0279544 | − | 0.999609i | \(-0.508899\pi\) | ||||
−0.0279544 | + | 0.999609i | \(0.508899\pi\) | |||||||
\(80\) | −2.84444 | − | 9.88937i | −0.318018 | − | 1.10567i | ||||
\(81\) | −9.77319 | − | 16.9277i | −1.08591 | − | 1.88085i | ||||
\(82\) | −1.68194 | − | 0.971071i | −0.185740 | − | 0.107237i | ||||
\(83\) | 8.63090 | 0.947364 | 0.473682 | − | 0.880696i | \(-0.342925\pi\) | ||||
0.473682 | + | 0.880696i | \(0.342925\pi\) | |||||||
\(84\) | 1.73205 | + | 1.00000i | 0.188982 | + | 0.109109i | ||||
\(85\) | 1.48359 | + | 1.43035i | 0.160918 | + | 0.155144i | ||||
\(86\) | 9.89988i | 1.06753i | ||||||||
\(87\) | −14.0778 | − | 8.12783i | −1.50930 | − | 0.871394i | ||||
\(88\) | −5.52007 | + | 3.18701i | −0.588441 | + | 0.339737i | ||||
\(89\) | −11.1173 | + | 6.41855i | −1.17843 | + | 0.680365i | −0.955650 | − | 0.294504i | \(-0.904845\pi\) |
−0.222777 | + | 0.974870i | \(0.571512\pi\) | |||||||
\(90\) | −23.5464 | − | 5.85043i | −2.48201 | − | 0.616690i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 1.04453i | − | 0.108900i | ||||||
\(93\) | −1.39383 | − | 2.41418i | −0.144533 | − | 0.250339i | ||||
\(94\) | 4.39383 | + | 7.61033i | 0.453189 | + | 0.784946i | ||||
\(95\) | −0.867962 | − | 0.836818i | −0.0890511 | − | 0.0858557i | ||||
\(96\) | 6.53919i | 0.667403i | ||||||||
\(97\) | 2.95774 | − | 5.12296i | 0.300313 | − | 0.520157i | −0.675894 | − | 0.736999i | \(-0.736242\pi\) |
0.976207 | + | 0.216842i | \(0.0695756\pi\) | |||||||
\(98\) | −3.13870 | + | 5.43638i | −0.317056 | + | 0.549158i | ||||
\(99\) | 17.8999i | 1.79901i | ||||||||
\(100\) | −1.56349 | + | 0.980517i | −0.156349 | + | 0.0980517i | ||||
\(101\) | −8.21953 | − | 14.2367i | −0.817874 | − | 1.41660i | −0.907246 | − | 0.420601i | \(-0.861819\pi\) |
0.0893712 | − | 0.995998i | \(-0.471514\pi\) | |||||||
\(102\) | −2.24846 | − | 3.89445i | −0.222631 | − | 0.385608i | ||||
\(103\) | 10.1906i | 1.00411i | 0.864836 | + | 0.502055i | \(0.167423\pi\) | ||||
−0.864836 | + | 0.502055i | \(0.832577\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.92162 | + | 11.7587i | −0.285121 | + | 1.14753i | ||||
\(106\) | −11.3262 | + | 6.53919i | −1.10010 | + | 0.635142i | ||||
\(107\) | −8.44508 | + | 4.87577i | −0.816416 | + | 0.471358i | −0.849179 | − | 0.528105i | \(-0.822903\pi\) |
0.0327627 | + | 0.999463i | \(0.489569\pi\) | |||||||
\(108\) | 4.10341 | + | 2.36910i | 0.394850 | + | 0.227967i | ||||
\(109\) | − | 16.8638i | − | 1.61526i | −0.589693 | − | 0.807628i | \(-0.700751\pi\) | ||
0.589693 | − | 0.807628i | \(-0.299249\pi\) | |||||||
\(110\) | 6.29139 | + | 6.06565i | 0.599861 | + | 0.578337i | ||||
\(111\) | 16.6080 | + | 9.58864i | 1.57636 | + | 0.910113i | ||||
\(112\) | 7.86603 | 0.743270 | ||||||||
\(113\) | 10.1834 | + | 5.87936i | 0.957969 | + | 0.553084i | 0.895547 | − | 0.444966i | \(-0.146784\pi\) |
0.0624219 | + | 0.998050i | \(0.480118\pi\) | |||||||
\(114\) | 1.31545 | + | 2.27842i | 0.123203 | + | 0.213394i | ||||
\(115\) | 6.08133 | − | 1.74915i | 0.567087 | − | 0.163109i | ||||
\(116\) | 1.89269 | 0.175732 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 7.26898i | − | 0.669164i | ||||||
\(119\) | −1.36426 | + | 0.787653i | −0.125061 | + | 0.0722040i | ||||
\(120\) | −17.1007 | + | 4.91862i | −1.56108 | + | 0.449006i | ||||
\(121\) | −2.27626 | + | 3.94260i | −0.206933 | + | 0.358418i | ||||
\(122\) | −12.3896 | −1.12170 | ||||||||
\(123\) | −2.00000 | + | 3.46410i | −0.180334 | + | 0.312348i | ||||
\(124\) | 0.281090 | + | 0.162287i | 0.0252426 | + | 0.0145738i | ||||
\(125\) | −8.32684 | − | 7.46081i | −0.744775 | − | 0.667315i | ||||
\(126\) | 9.27319 | − | 16.0616i | 0.826121 | − | 1.43088i | ||||
\(127\) | −15.5947 | + | 9.00359i | −1.38380 | + | 0.798940i | −0.992608 | − | 0.121367i | \(-0.961272\pi\) |
−0.391197 | + | 0.920307i | \(0.627939\pi\) | |||||||
\(128\) | 6.70261 | + | 11.6093i | 0.592433 | + | 1.02612i | ||||
\(129\) | 20.3896 | 1.79521 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.2557 | 1.24552 | 0.622761 | − | 0.782412i | \(-0.286011\pi\) | ||||
0.622761 | + | 0.782412i | \(0.286011\pi\) | |||||||
\(132\) | −1.48554 | − | 2.57302i | −0.129299 | − | 0.223953i | ||||
\(133\) | 0.798148 | − | 0.460811i | 0.0692082 | − | 0.0399574i | ||||
\(134\) | −6.05365 | + | 10.4852i | −0.522956 | + | 0.905786i | ||||
\(135\) | −6.92162 | + | 27.8576i | −0.595718 | + | 2.39760i | ||||
\(136\) | −2.00356 | − | 1.15676i | −0.171804 | − | 0.0991910i | ||||
\(137\) | −6.89269 | + | 11.9385i | −0.588882 | + | 1.01997i | 0.405497 | + | 0.914097i | \(0.367099\pi\) |
−0.994379 | + | 0.105878i | \(0.966235\pi\) | |||||||
\(138\) | −13.8082 | −1.17543 | ||||||||
\(139\) | −3.32684 | + | 5.76226i | −0.282179 | + | 0.488748i | −0.971921 | − | 0.235307i | \(-0.924391\pi\) |
0.689742 | + | 0.724055i | \(0.257724\pi\) | |||||||
\(140\) | −0.389953 | − | 1.35576i | −0.0329570 | − | 0.114583i | ||||
\(141\) | 15.6741 | − | 9.04945i | 1.32000 | − | 0.762101i | ||||
\(142\) | − | 22.2895i | − | 1.87049i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 32.4413 | 2.70344 | ||||||||
\(145\) | 3.16947 | + | 11.0194i | 0.263210 | + | 0.915112i | ||||
\(146\) | 1.50113 | + | 2.60004i | 0.124235 | + | 0.215181i | ||||
\(147\) | 11.1967 | + | 6.46441i | 0.923486 | + | 0.533175i | ||||
\(148\) | −2.23287 | −0.183540 | ||||||||
\(149\) | 7.86211 | + | 4.53919i | 0.644089 | + | 0.371865i | 0.786188 | − | 0.617988i | \(-0.212052\pi\) |
−0.142099 | + | 0.989852i | \(0.545385\pi\) | |||||||
\(150\) | 12.9620 | + | 20.6686i | 1.05834 | + | 1.68758i | ||||
\(151\) | 3.27739i | 0.266711i | 0.991068 | + | 0.133355i | \(0.0425751\pi\) | ||||
−0.991068 | + | 0.133355i | \(0.957425\pi\) | |||||||
\(152\) | 1.17217 | + | 0.676752i | 0.0950754 | + | 0.0548918i | ||||
\(153\) | −5.62651 | + | 3.24846i | −0.454876 | + | 0.262623i | ||||
\(154\) | −5.78535 | + | 3.34017i | −0.466197 | + | 0.269159i | ||||
\(155\) | −0.474142 | + | 1.90829i | −0.0380840 | + | 0.153278i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 12.8371i | − | 1.02451i | −0.858833 | − | 0.512256i | \(-0.828810\pi\) | ||
0.858833 | − | 0.512256i | \(-0.171190\pi\) | |||||||
\(158\) | −0.382433 | − | 0.662394i | −0.0304248 | − | 0.0526972i | ||||
\(159\) | 13.4680 | + | 23.3273i | 1.06808 | + | 1.84997i | ||||
\(160\) | 3.20142 | − | 3.32057i | 0.253095 | − | 0.262514i | ||||
\(161\) | 4.83710i | 0.381217i | ||||||||
\(162\) | 15.0428 | − | 26.0549i | 1.18187 | − | 2.04706i | ||||
\(163\) | 6.02472 | − | 10.4351i | 0.471893 | − | 0.817342i | −0.527590 | − | 0.849499i | \(-0.676904\pi\) |
0.999483 | + | 0.0321568i | \(0.0102376\pi\) | |||||||
\(164\) | − | 0.465732i | − | 0.0363675i | ||||||
\(165\) | 12.4927 | − | 12.9576i | 0.972555 | − | 1.00875i | ||||
\(166\) | 6.64229 | + | 11.5048i | 0.515542 | + | 0.892945i | ||||
\(167\) | −4.36490 | − | 7.56022i | −0.337766 | − | 0.585028i | 0.646246 | − | 0.763129i | \(-0.276338\pi\) |
−0.984012 | + | 0.178101i | \(0.943005\pi\) | |||||||
\(168\) | − | 13.6020i | − | 1.04941i | ||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −0.764867 | + | 3.07838i | −0.0586626 | + | 0.236101i | ||||
\(171\) | 3.29175 | − | 1.90049i | 0.251726 | − | 0.145334i | ||||
\(172\) | −2.05596 | + | 1.18701i | −0.156766 | + | 0.0905088i | ||||
\(173\) | 0.748041 | + | 0.431882i | 0.0568725 | + | 0.0328354i | 0.528167 | − | 0.849141i | \(-0.322880\pi\) |
−0.471294 | + | 0.881976i | \(0.656213\pi\) | |||||||
\(174\) | − | 25.0205i | − | 1.89680i | ||||||
\(175\) | 7.24036 | − | 4.54067i | 0.547320 | − | 0.343243i | ||||
\(176\) | −10.1197 | − | 5.84263i | −0.762804 | − | 0.440405i | ||||
\(177\) | −14.9711 | −1.12529 | ||||||||
\(178\) | −17.1116 | − | 9.87936i | −1.28257 | − | 0.740489i | ||||
\(179\) | −9.95774 | − | 17.2473i | −0.744276 | − | 1.28912i | −0.950532 | − | 0.310626i | \(-0.899461\pi\) |
0.206256 | − | 0.978498i | \(-0.433872\pi\) | |||||||
\(180\) | −1.60826 | − | 5.59149i | −0.119872 | − | 0.416765i | ||||
\(181\) | −14.3896 | −1.06957 | −0.534786 | − | 0.844987i | \(-0.679608\pi\) | ||||
−0.534786 | + | 0.844987i | \(0.679608\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 25.5174i | 1.88630i | ||||||||
\(184\) | −6.15209 | + | 3.55191i | −0.453538 | + | 0.261850i | ||||
\(185\) | −3.73912 | − | 12.9999i | −0.274905 | − | 0.955774i | ||||
\(186\) | 2.14536 | − | 3.71588i | 0.157306 | − | 0.272461i | ||||
\(187\) | 2.34017 | 0.171130 | ||||||||
\(188\) | −1.05365 | + | 1.82498i | −0.0768456 | + | 0.133100i | ||||
\(189\) | −19.0025 | − | 10.9711i | −1.38222 | − | 0.798028i | ||||
\(190\) | 0.447480 | − | 1.80098i | 0.0324636 | − | 0.130657i | ||||
\(191\) | −0.738205 | + | 1.27861i | −0.0534146 | + | 0.0925168i | −0.891496 | − | 0.453028i | \(-0.850344\pi\) |
0.838082 | + | 0.545545i | \(0.183677\pi\) | |||||||
\(192\) | 16.5517 | − | 9.55611i | 1.19451 | − | 0.689653i | ||||
\(193\) | −8.86603 | − | 15.3564i | −0.638191 | − | 1.10538i | −0.985829 | − | 0.167750i | \(-0.946350\pi\) |
0.347639 | − | 0.937629i | \(-0.386984\pi\) | |||||||
\(194\) | 9.10504 | 0.653704 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.50534 | −0.107524 | ||||||||
\(197\) | 1.00000 | + | 1.73205i | 0.0712470 | + | 0.123404i | 0.899448 | − | 0.437028i | \(-0.143969\pi\) |
−0.828201 | + | 0.560431i | \(0.810635\pi\) | |||||||
\(198\) | −23.8601 | + | 13.7756i | −1.69567 | + | 0.978993i | ||||
\(199\) | 2.69594 | − | 4.66951i | 0.191110 | − | 0.331013i | −0.754508 | − | 0.656291i | \(-0.772124\pi\) |
0.945619 | + | 0.325278i | \(0.105458\pi\) | |||||||
\(200\) | 11.0917 | + | 5.87444i | 0.784302 | + | 0.415386i | ||||
\(201\) | 21.5952 | + | 12.4680i | 1.52321 | + | 0.879425i | ||||
\(202\) | 12.6514 | − | 21.9129i | 0.890151 | − | 1.54179i | ||||
\(203\) | −8.76487 | −0.615173 | ||||||||
\(204\) | 0.539189 | − | 0.933903i | 0.0377508 | − | 0.0653863i | ||||
\(205\) | 2.71153 | − | 0.779906i | 0.189381 | − | 0.0544710i | ||||
\(206\) | −13.5838 | + | 7.84263i | −0.946431 | + | 0.546422i | ||||
\(207\) | 19.9493i | 1.38657i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.36910 | −0.0947028 | ||||||||
\(210\) | −17.9226 | + | 5.15499i | −1.23677 | + | 0.355728i | ||||
\(211\) | 11.3763 | + | 19.7043i | 0.783176 | + | 1.35650i | 0.930083 | + | 0.367350i | \(0.119735\pi\) |
−0.146906 | + | 0.989150i | \(0.546932\pi\) | |||||||
\(212\) | −2.71606 | − | 1.56812i | −0.186540 | − | 0.107699i | ||||
\(213\) | −45.9071 | −3.14550 | ||||||||
\(214\) | −12.9986 | − | 7.50473i | −0.888564 | − | 0.513013i | ||||
\(215\) | −10.3538 | − | 9.98225i | −0.706120 | − | 0.680783i | ||||
\(216\) | − | 32.2245i | − | 2.19260i | ||||||
\(217\) | −1.30170 | − | 0.751536i | −0.0883650 | − | 0.0510176i | ||||
\(218\) | 22.4790 | − | 12.9783i | 1.52247 | − | 0.878999i | ||||
\(219\) | 5.35500 | − | 3.09171i | 0.361857 | − | 0.208918i | ||||
\(220\) | −0.505339 | + | 2.03385i | −0.0340699 | + | 0.137122i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 29.5174i | 1.98108i | ||||||||
\(223\) | −4.38050 | − | 7.58724i | −0.293340 | − | 0.508079i | 0.681258 | − | 0.732044i | \(-0.261433\pi\) |
−0.974597 | + | 0.223965i | \(0.928100\pi\) | |||||||
\(224\) | 1.76293 | + | 3.05348i | 0.117791 | + | 0.204019i | ||||
\(225\) | 29.8609 | − | 18.7268i | 1.99073 | − | 1.24845i | ||||
\(226\) | 18.0989i | 1.20392i | ||||||||
\(227\) | −8.61336 | + | 14.9188i | −0.571689 | + | 0.990194i | 0.424704 | + | 0.905332i | \(0.360378\pi\) |
−0.996393 | + | 0.0848618i | \(0.972955\pi\) | |||||||
\(228\) | −0.315449 | + | 0.546373i | −0.0208911 | + | 0.0361845i | ||||
\(229\) | − | 3.07838i | − | 0.203425i | −0.994814 | − | 0.101712i | \(-0.967568\pi\) | ||
0.994814 | − | 0.101712i | \(-0.0324322\pi\) | |||||||
\(230\) | 7.01173 | + | 6.76013i | 0.462340 | + | 0.445750i | ||||
\(231\) | 6.87936 | + | 11.9154i | 0.452629 | + | 0.783976i | ||||
\(232\) | −6.43609 | − | 11.1476i | −0.422550 | − | 0.731878i | ||||
\(233\) | − | 18.9360i | − | 1.24054i | −0.784389 | − | 0.620269i | \(-0.787023\pi\) | ||
0.784389 | − | 0.620269i | \(-0.212977\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.3896 | − | 3.07838i | −0.808210 | − | 0.200811i | ||||
\(236\) | 1.50959 | − | 0.871563i | 0.0982660 | − | 0.0567339i | ||||
\(237\) | −1.36426 | + | 0.787653i | −0.0886179 | + | 0.0511636i | ||||
\(238\) | −2.09985 | − | 1.21235i | −0.136113 | − | 0.0785848i | ||||
\(239\) | 6.63809i | 0.429382i | 0.976682 | + | 0.214691i | \(0.0688745\pi\) | ||||
−0.976682 | + | 0.214691i | \(0.931126\pi\) | |||||||
\(240\) | −23.4841 | − | 22.6415i | −1.51589 | − | 1.46150i | ||||
\(241\) | 8.20681 | + | 4.73820i | 0.528647 | + | 0.305215i | 0.740465 | − | 0.672094i | \(-0.234605\pi\) |
−0.211818 | + | 0.977309i | \(0.567938\pi\) | |||||||
\(242\) | −7.00719 | −0.450439 | ||||||||
\(243\) | −20.3104 | − | 11.7262i | −1.30291 | − | 0.752236i | ||||
\(244\) | −1.48554 | − | 2.57302i | −0.0951017 | − | 0.164721i | ||||
\(245\) | −2.52081 | − | 8.76421i | −0.161049 | − | 0.559925i | ||||
\(246\) | −6.15676 | −0.392540 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 2.20743i | − | 0.140172i | ||||||
\(249\) | 23.6951 | − | 13.6803i | 1.50161 | − | 0.866957i | ||||
\(250\) | 3.53680 | − | 16.8413i | 0.223687 | − | 1.06514i | ||||
\(251\) | 14.7298 | − | 25.5128i | 0.929736 | − | 1.61035i | 0.145975 | − | 0.989288i | \(-0.453368\pi\) |
0.783761 | − | 0.621062i | \(-0.213299\pi\) | |||||||
\(252\) | 4.44748 | 0.280165 | ||||||||
\(253\) | 3.59284 | − | 6.22299i | 0.225880 | − | 0.391236i | ||||
\(254\) | −24.0032 | − | 13.8582i | −1.50609 | − | 0.869543i | ||||
\(255\) | 6.34017 | + | 1.57531i | 0.397037 | + | 0.0986495i | ||||
\(256\) | −4.28765 | + | 7.42643i | −0.267978 | + | 0.464152i | ||||
\(257\) | −17.7238 | + | 10.2329i | −1.10558 | + | 0.638309i | −0.937682 | − | 0.347495i | \(-0.887032\pi\) |
−0.167901 | + | 0.985804i | \(0.553699\pi\) | |||||||
\(258\) | 15.6917 | + | 27.1789i | 0.976925 | + | 1.69208i | ||||
\(259\) | 10.3402 | 0.642507 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −36.1483 | −2.23753 | ||||||||
\(262\) | 10.9711 | + | 19.0025i | 0.677795 | + | 1.17398i | ||||
\(263\) | 7.91844 | − | 4.57171i | 0.488272 | − | 0.281904i | −0.235585 | − | 0.971854i | \(-0.575701\pi\) |
0.723857 | + | 0.689950i | \(0.242367\pi\) | |||||||
\(264\) | −10.1031 | + | 17.4991i | −0.621803 | + | 1.07699i | ||||
\(265\) | 4.58145 | − | 18.4391i | 0.281436 | − | 1.13270i | ||||
\(266\) | 1.22850 | + | 0.709275i | 0.0753242 | + | 0.0434885i | ||||
\(267\) | −20.3474 | + | 35.2427i | −1.24524 | + | 2.15682i | ||||
\(268\) | −2.90337 | −0.177352 | ||||||||
\(269\) | 5.69594 | − | 9.86567i | 0.347288 | − | 0.601520i | −0.638479 | − | 0.769639i | \(-0.720436\pi\) |
0.985767 | + | 0.168119i | \(0.0537693\pi\) | |||||||
\(270\) | −42.4604 | + | 12.2127i | −2.58406 | + | 0.743242i | ||||
\(271\) | −18.3035 | + | 10.5675i | −1.11186 | + | 0.641930i | −0.939309 | − | 0.343071i | \(-0.888533\pi\) |
−0.172546 | + | 0.985001i | \(0.555200\pi\) | |||||||
\(272\) | − | 4.24128i | − | 0.257165i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −21.2183 | −1.28185 | ||||||||
\(275\) | −12.6875 | + | 0.463722i | −0.765083 | + | 0.0279635i | ||||
\(276\) | −1.65562 | − | 2.86762i | −0.0996567 | − | 0.172611i | ||||
\(277\) | 11.3262 | + | 6.53919i | 0.680526 | + | 0.392902i | 0.800053 | − | 0.599929i | \(-0.204805\pi\) |
−0.119527 | + | 0.992831i | \(0.538138\pi\) | |||||||
\(278\) | −10.2413 | −0.614231 | ||||||||
\(279\) | −5.36851 | − | 3.09951i | −0.321404 | − | 0.185563i | ||||
\(280\) | −6.65918 | + | 6.90702i | −0.397962 | + | 0.412773i | ||||
\(281\) | − | 0.680346i | − | 0.0405860i | −0.999794 | − | 0.0202930i | \(-0.993540\pi\) | ||
0.999794 | − | 0.0202930i | \(-0.00645991\pi\) | |||||||
\(282\) | 24.1254 | + | 13.9288i | 1.43665 | + | 0.829449i | ||||
\(283\) | 16.7105 | − | 9.64782i | 0.993337 | − | 0.573504i | 0.0870671 | − | 0.996202i | \(-0.472251\pi\) |
0.906270 | + | 0.422699i | \(0.138917\pi\) | |||||||
\(284\) | 4.62899 | − | 2.67255i | 0.274680 | − | 0.158586i | ||||
\(285\) | −3.70928 | − | 0.921622i | −0.219719 | − | 0.0545922i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.15676i | 0.127309i | ||||||||
\(288\) | 7.27073 | + | 12.5933i | 0.428432 | + | 0.742066i | ||||
\(289\) | −8.07531 | − | 13.9868i | −0.475018 | − | 0.822755i | ||||
\(290\) | −12.2494 | + | 12.7053i | −0.719310 | + | 0.746081i | ||||
\(291\) | − | 18.7526i | − | 1.09930i | ||||||
\(292\) | −0.359977 | + | 0.623498i | −0.0210660 | + | 0.0364875i | ||||
\(293\) | −4.73400 | + | 8.19953i | −0.276563 | + | 0.479022i | −0.970528 | − | 0.240987i | \(-0.922529\pi\) |
0.693965 | + | 0.720009i | \(0.255862\pi\) | |||||||
\(294\) | 19.8999i | 1.16058i | ||||||||
\(295\) | 7.60224 | + | 7.32946i | 0.442620 | + | 0.426738i | ||||
\(296\) | 7.59284 | + | 13.1512i | 0.441325 | + | 0.764397i | ||||
\(297\) | 16.2979 | + | 28.2288i | 0.945701 | + | 1.63800i | ||||
\(298\) | 13.9733i | 0.809454i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −2.73820 | + | 5.17009i | −0.158090 | + | 0.298495i | ||||
\(301\) | 9.52096 | − | 5.49693i | 0.548779 | − | 0.316838i | ||||
\(302\) | −4.36869 | + | 2.52226i | −0.251390 | + | 0.145140i | ||||
\(303\) | −45.1314 | − | 26.0566i | −2.59273 | − | 1.49691i | ||||
\(304\) | 2.48133i | 0.142314i | ||||||||
\(305\) | 12.4927 | − | 12.9576i | 0.715330 | − | 0.741953i | ||||
\(306\) | −8.66025 | − | 5.00000i | −0.495074 | − | 0.285831i | ||||
\(307\) | −0.264063 | −0.0150709 | −0.00753543 | − | 0.999972i | \(-0.502399\pi\) | ||||
−0.00753543 | + | 0.999972i | \(0.502399\pi\) | |||||||
\(308\) | −1.38735 | − | 0.800984i | −0.0790513 | − | 0.0456403i | ||||
\(309\) | 16.1526 | + | 27.9770i | 0.918886 | + | 1.59156i | ||||
\(310\) | −2.90860 | + | 0.836590i | −0.165198 | + | 0.0475151i | ||||
\(311\) | −13.0472 | −0.739838 | −0.369919 | − | 0.929064i | \(-0.620615\pi\) | ||||
−0.369919 | + | 0.929064i | \(0.620615\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 33.7009i | − | 1.90489i | −0.304718 | − | 0.952443i | \(-0.598562\pi\) | ||
0.304718 | − | 0.952443i | \(-0.401438\pi\) | |||||||
\(314\) | 17.1116 | − | 9.87936i | 0.965661 | − | 0.557525i | ||||
\(315\) | 7.44767 | + | 25.8936i | 0.419629 | + | 1.45894i | ||||
\(316\) | 0.0917087 | − | 0.158844i | 0.00515902 | − | 0.00893568i | ||||
\(317\) | 13.9506 | 0.783541 | 0.391771 | − | 0.920063i | \(-0.371863\pi\) | ||||
0.391771 | + | 0.920063i | \(0.371863\pi\) | |||||||
\(318\) | −20.7298 | + | 35.9051i | −1.16247 | + | 2.01346i | ||||
\(319\) | 11.2761 | + | 6.51026i | 0.631340 | + | 0.364505i | ||||
\(320\) | −13.0833 | − | 3.25073i | −0.731379 | − | 0.181721i | ||||
\(321\) | −15.4566 | + | 26.7716i | −0.862704 | + | 1.49425i | ||||
\(322\) | −6.44774 | + | 3.72261i | −0.359319 | + | 0.207453i | ||||
\(323\) | −0.248464 | − | 0.430353i | −0.0138249 | − | 0.0239455i | ||||
\(324\) | 7.21461 | 0.400812 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 18.5464 | 1.02719 | ||||||||
\(327\) | −26.7298 | − | 46.2974i | −1.47816 | − | 2.56025i | ||||
\(328\) | −2.74308 | + | 1.58372i | −0.151461 | + | 0.0874461i | ||||
\(329\) | 4.87936 | − | 8.45130i | 0.269008 | − | 0.465935i | ||||
\(330\) | 26.8865 | + | 6.68035i | 1.48006 | + | 0.367741i | ||||
\(331\) | −15.9822 | − | 9.22733i | −0.878462 | − | 0.507180i | −0.00831086 | − | 0.999965i | \(-0.502645\pi\) |
−0.870151 | + | 0.492785i | \(0.835979\pi\) | |||||||
\(332\) | −1.59284 | + | 2.75888i | −0.0874186 | + | 0.151413i | ||||
\(333\) | 42.6453 | 2.33695 | ||||||||
\(334\) | 6.71840 | − | 11.6366i | 0.367615 | − | 0.636727i | ||||
\(335\) | −4.86193 | − | 16.9037i | −0.265636 | − | 0.923546i | ||||
\(336\) | 21.5952 | − | 12.4680i | 1.17812 | − | 0.680185i | ||||
\(337\) | − | 15.8576i | − | 0.863820i | −0.901917 | − | 0.431910i | \(-0.857840\pi\) | ||
0.901917 | − | 0.431910i | \(-0.142160\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 37.2762 | 2.02456 | ||||||||
\(340\) | −0.731013 | + | 0.210258i | −0.0396447 | + | 0.0114029i | ||||
\(341\) | 1.11643 | + | 1.93372i | 0.0604582 | + | 0.104717i | ||||
\(342\) | 5.06662 | + | 2.92522i | 0.273972 | + | 0.158178i | ||||
\(343\) | 18.9360 | 1.02245 | ||||||||
\(344\) | 13.9826 | + | 8.07285i | 0.753890 | + | 0.435259i | ||||
\(345\) | 13.9231 | − | 14.4412i | 0.749592 | − | 0.777490i | ||||
\(346\) | 1.32950i | 0.0714741i | ||||||||
\(347\) | 8.42199 | + | 4.86244i | 0.452116 | + | 0.261029i | 0.708723 | − | 0.705486i | \(-0.249271\pi\) |
−0.256607 | + | 0.966516i | \(0.582605\pi\) | |||||||
\(348\) | 5.19615 | − | 3.00000i | 0.278543 | − | 0.160817i | ||||
\(349\) | 26.7683 | − | 15.4547i | 1.43287 | − | 0.827269i | 0.435534 | − | 0.900172i | \(-0.356560\pi\) |
0.997339 | + | 0.0729030i | \(0.0232264\pi\) | |||||||
\(350\) | 11.6248 | + | 6.15676i | 0.621369 | + | 0.329092i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 5.23779i | − | 0.279175i | ||||||
\(353\) | −2.97528 | − | 5.15333i | −0.158358 | − | 0.274284i | 0.775919 | − | 0.630833i | \(-0.217287\pi\) |
−0.934277 | + | 0.356549i | \(0.883953\pi\) | |||||||
\(354\) | −11.5217 | − | 19.9561i | −0.612369 | − | 1.06065i | ||||
\(355\) | 23.3114 | + | 22.4749i | 1.23724 | + | 1.19285i | ||||
\(356\) | − | 4.73820i | − | 0.251124i | ||||||
\(357\) | −2.49693 | + | 4.32481i | −0.132151 | + | 0.228893i | ||||
\(358\) | 15.3268 | − | 26.5469i | 0.810049 | − | 1.40305i | ||||
\(359\) | − | 10.9783i | − | 0.579410i | −0.957116 | − | 0.289705i | \(-0.906443\pi\) | ||
0.957116 | − | 0.289705i | \(-0.0935573\pi\) | |||||||
\(360\) | −27.4640 | + | 28.4861i | −1.44748 | + | 1.50135i | ||||
\(361\) | −9.35464 | − | 16.2027i | −0.492349 | − | 0.852774i | ||||
\(362\) | −11.0742 | − | 19.1810i | −0.582046 | − | 1.00813i | ||||
\(363\) | 14.4319i | 0.757477i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.23287 | − | 1.05172i | −0.221558 | − | 0.0550493i | ||||
\(366\) | −34.0142 | + | 19.6381i | −1.77795 | + | 1.02650i | ||||
\(367\) | −8.98417 | + | 5.18701i | −0.468970 | + | 0.270760i | −0.715808 | − | 0.698297i | \(-0.753942\pi\) |
0.246839 | + | 0.969057i | \(0.420608\pi\) | |||||||
\(368\) | −11.2784 | − | 6.51159i | −0.587927 | − | 0.339440i | ||||
\(369\) | 8.89496i | 0.463053i | ||||||||
\(370\) | 14.4510 | − | 14.9888i | 0.751272 | − | 0.779232i | ||||
\(371\) | 12.5778 | + | 7.26180i | 0.653007 | + | 0.377014i | ||||
\(372\) | 1.02893 | 0.0533475 | ||||||||
\(373\) | −20.7740 | − | 11.9939i | −1.07564 | − | 0.621018i | −0.145920 | − | 0.989296i | \(-0.546614\pi\) |
−0.929716 | + | 0.368278i | \(0.879947\pi\) | |||||||
\(374\) | 1.80098 | + | 3.11940i | 0.0931267 | + | 0.161300i | ||||
\(375\) | −34.6860 | − | 7.28432i | −1.79118 | − | 0.376161i | ||||
\(376\) | 14.3318 | 0.739104 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | − | 33.7731i | − | 1.73710i | ||||||
\(379\) | 25.7708 | − | 14.8788i | 1.32375 | − | 0.764270i | 0.339429 | − | 0.940632i | \(-0.389766\pi\) |
0.984325 | + | 0.176362i | \(0.0564328\pi\) | |||||||
\(380\) | 0.427674 | − | 0.123010i | 0.0219392 | − | 0.00631029i | ||||
\(381\) | −28.5422 | + | 49.4365i | −1.46226 | + | 2.53271i | ||||
\(382\) | −2.27247 | −0.116270 | ||||||||
\(383\) | −6.20814 | + | 10.7528i | −0.317221 | + | 0.549443i | −0.979907 | − | 0.199454i | \(-0.936083\pi\) |
0.662686 | + | 0.748897i | \(0.269416\pi\) | |||||||
\(384\) | 36.8024 | + | 21.2479i | 1.87806 | + | 1.08430i | ||||
\(385\) | 2.34017 | − | 9.41855i | 0.119266 | − | 0.480014i | ||||
\(386\) | 13.6465 | − | 23.6364i | 0.694588 | − | 1.20306i | ||||
\(387\) | 39.2666 | − | 22.6706i | 1.99604 | − | 1.15241i | ||||
\(388\) | 1.09171 | + | 1.89090i | 0.0554231 | + | 0.0959956i | ||||
\(389\) | −16.8371 | −0.853675 | −0.426837 | − | 0.904328i | \(-0.640372\pi\) | ||||
−0.426837 | + | 0.904328i | \(0.640372\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.60811 | 0.131898 | ||||||||
\(392\) | 5.11889 | + | 8.86618i | 0.258543 | + | 0.447810i | ||||
\(393\) | 39.1371 | − | 22.5958i | 1.97421 | − | 1.13981i | ||||
\(394\) | −1.53919 | + | 2.66595i | −0.0775432 | + | 0.134309i | ||||
\(395\) | 1.07838 | + | 0.267938i | 0.0542591 | + | 0.0134814i | ||||
\(396\) | −5.72173 | − | 3.30344i | −0.287528 | − | 0.166004i | ||||
\(397\) | 1.94635 | − | 3.37117i | 0.0976843 | − | 0.169194i | −0.813041 | − | 0.582206i | \(-0.802190\pi\) |
0.910726 | + | 0.413012i | \(0.135523\pi\) | |||||||
\(398\) | 8.29914 | 0.415998 | ||||||||
\(399\) | 1.46081 | − | 2.53020i | 0.0731320 | − | 0.126668i | ||||
\(400\) | 0.840440 | + | 22.9945i | 0.0420220 | + | 1.14972i | ||||
\(401\) | −7.88520 | + | 4.55252i | −0.393768 | + | 0.227342i | −0.683791 | − | 0.729678i | \(-0.739670\pi\) |
0.290024 | + | 0.957020i | \(0.406337\pi\) | |||||||
\(402\) | 38.3812i | 1.91428i | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 6.06770 | 0.301879 | ||||||||
\(405\) | 12.0815 | + | 42.0041i | 0.600333 | + | 2.08720i | ||||
\(406\) | −6.74539 | − | 11.6834i | −0.334768 | − | 0.579836i | ||||
\(407\) | −13.3027 | − | 7.68035i | −0.659393 | − | 0.380701i | ||||
\(408\) | −7.33403 | −0.363089 | ||||||||
\(409\) | 16.8170 | + | 9.70928i | 0.831545 | + | 0.480093i | 0.854381 | − | 0.519646i | \(-0.173936\pi\) |
−0.0228363 | + | 0.999739i | \(0.507270\pi\) | |||||||
\(410\) | 3.12637 | + | 3.01419i | 0.154401 | + | 0.148860i | ||||
\(411\) | 43.7009i | 2.15560i | ||||||||
\(412\) | −3.25745 | − | 1.88069i | −0.160483 | − | 0.0926549i | ||||
\(413\) | −6.99076 | + | 4.03612i | −0.343993 | + | 0.198604i | ||||
\(414\) | −26.5920 | + | 15.3529i | −1.30693 | + | 0.754554i | ||||
\(415\) | −18.7298 | − | 4.65368i | −0.919409 | − | 0.228440i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 21.0928i | 1.03292i | ||||||||
\(418\) | −1.05365 | − | 1.82498i | −0.0515359 | − | 0.0892628i | ||||
\(419\) | −8.38962 | − | 14.5313i | −0.409860 | − | 0.709898i | 0.585014 | − | 0.811023i | \(-0.301089\pi\) |
−0.994874 | + | 0.101125i | \(0.967756\pi\) | |||||||
\(420\) | −3.21951 | − | 3.10399i | −0.157096 | − | 0.151459i | ||||
\(421\) | 19.0205i | 0.927003i | 0.886096 | + | 0.463502i | \(0.153407\pi\) | ||||
−0.886096 | + | 0.463502i | \(0.846593\pi\) | |||||||
\(422\) | −17.5103 | + | 30.3287i | −0.852386 | + | 1.47638i | ||||
\(423\) | 20.1236 | − | 34.8551i | 0.978444 | − | 1.69471i | ||||
\(424\) | 21.3295i | 1.03585i | ||||||||
\(425\) | −2.44828 | − | 3.90392i | −0.118759 | − | 0.189368i | ||||
\(426\) | −35.3298 | − | 61.1931i | −1.71174 | − | 2.96481i | ||||
\(427\) | 6.87936 | + | 11.9154i | 0.332916 | + | 0.576627i | ||||
\(428\) | − | 3.59932i | − | 0.173979i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.33791 | − | 21.4836i | 0.257417 | − | 1.03603i | ||||
\(431\) | −6.95416 | + | 4.01499i | −0.334970 | + | 0.193395i | −0.658046 | − | 0.752978i | \(-0.728617\pi\) |
0.323075 | + | 0.946373i | \(0.395283\pi\) | |||||||
\(432\) | 51.1613 | − | 29.5380i | 2.46150 | − | 1.42115i | ||||
\(433\) | 11.2992 | + | 6.52359i | 0.543004 | + | 0.313504i | 0.746296 | − | 0.665615i | \(-0.231830\pi\) |
−0.203291 | + | 0.979118i | \(0.565164\pi\) | |||||||
\(434\) | − | 2.31351i | − | 0.111052i | ||||||
\(435\) | 26.1676 | + | 25.2287i | 1.25464 | + | 1.20962i | ||||
\(436\) | 5.39054 | + | 3.11223i | 0.258160 | + | 0.149049i | ||||
\(437\) | −1.52586 | −0.0729917 | ||||||||
\(438\) | 8.24235 | + | 4.75872i | 0.393835 | + | 0.227381i | ||||
\(439\) | 3.85043 | + | 6.66914i | 0.183771 | + | 0.318301i | 0.943162 | − | 0.332334i | \(-0.107836\pi\) |
−0.759391 | + | 0.650635i | \(0.774503\pi\) | |||||||
\(440\) | 13.6974 | − | 3.93973i | 0.652999 | − | 0.187819i | ||||
\(441\) | 28.7503 | 1.36906 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.39084i | 0.303638i | 0.988408 | + | 0.151819i | \(0.0485131\pi\) | ||||
−0.988408 | + | 0.151819i | \(0.951487\pi\) | |||||||
\(444\) | −6.13005 | + | 3.53919i | −0.290920 | + | 0.167962i | ||||
\(445\) | 27.5862 | − | 7.93451i | 1.30771 | − | 0.376132i | ||||
\(446\) | 6.74241 | − | 11.6782i | 0.319262 | − | 0.552979i | ||||
\(447\) | 28.7792 | 1.36121 | ||||||||
\(448\) | 5.15255 | − | 8.92448i | 0.243435 | − | 0.421642i | ||||
\(449\) | 27.3806 | + | 15.8082i | 1.29217 | + | 0.746034i | 0.979038 | − | 0.203676i | \(-0.0652891\pi\) |
0.313130 | + | 0.949710i | \(0.398622\pi\) | |||||||
\(450\) | 47.9432 | + | 25.3919i | 2.26006 | + | 1.19699i | ||||
\(451\) | 1.60197 | − | 2.77469i | 0.0754337 | − | 0.130655i | ||||
\(452\) | −3.75870 | + | 2.17009i | −0.176794 | + | 0.102072i | ||||
\(453\) | 5.19481 | + | 8.99768i | 0.244073 | + | 0.422748i | ||||
\(454\) | −26.5152 | −1.24442 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.29072 | 0.200932 | ||||||||
\(457\) | 17.8215 | + | 30.8677i | 0.833655 | + | 1.44393i | 0.895121 | + | 0.445823i | \(0.147089\pi\) |
−0.0614663 | + | 0.998109i | \(0.519578\pi\) | |||||||
\(458\) | 4.10341 | − | 2.36910i | 0.191740 | − | 0.110701i | ||||
\(459\) | −5.91548 | + | 10.2459i | −0.276111 | + | 0.478238i | ||||
\(460\) | −0.563198 | + | 2.26672i | −0.0262592 | + | 0.105686i | ||||
\(461\) | −12.9726 | − | 7.48974i | −0.604195 | − | 0.348832i | 0.166495 | − | 0.986042i | \(-0.446755\pi\) |
−0.770690 | + | 0.637210i | \(0.780088\pi\) | |||||||
\(462\) | −10.5886 | + | 18.3401i | −0.492628 | + | 0.853257i | ||||
\(463\) | −9.09663 | −0.422756 | −0.211378 | − | 0.977404i | \(-0.567795\pi\) | ||||
−0.211378 | + | 0.977404i | \(0.567795\pi\) | |||||||
\(464\) | 11.7990 | − | 20.4365i | 0.547757 | − | 0.948743i | ||||
\(465\) | 1.72303 | + | 5.99051i | 0.0799034 | + | 0.277803i | ||||
\(466\) | 25.2412 | − | 14.5730i | 1.16928 | − | 0.675083i | ||||
\(467\) | − | 1.87709i | − | 0.0868616i | −0.999056 | − | 0.0434308i | \(-0.986171\pi\) | ||
0.999056 | − | 0.0434308i | \(-0.0138288\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4452 | 0.620842 | ||||||||
\(470\) | −5.43158 | − | 18.8842i | −0.250540 | − | 0.871062i | ||||
\(471\) | −20.3474 | − | 35.2427i | −0.937557 | − | 1.62390i | ||||
\(472\) | −10.2667 | − | 5.92748i | −0.472563 | − | 0.272835i | ||||
\(473\) | −16.3318 | −0.750935 | ||||||||
\(474\) | −2.09985 | − | 1.21235i | −0.0964491 | − | 0.0556849i | ||||
\(475\) | 1.43235 | + | 2.28396i | 0.0657207 | + | 0.104795i | ||||
\(476\) | − | 0.581449i | − | 0.0266507i | ||||||
\(477\) | 51.8738 | + | 29.9493i | 2.37514 | + | 1.37129i | ||||
\(478\) | −8.84841 | + | 5.10863i | −0.404717 | + | 0.233663i | ||||
\(479\) | 13.6339 | − | 7.87156i | 0.622951 | − | 0.359661i | −0.155066 | − | 0.987904i | \(-0.549559\pi\) |
0.778017 | + | 0.628243i | \(0.216226\pi\) | |||||||
\(480\) | 3.52586 | − | 14.1906i | 0.160933 | − | 0.647710i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 14.5860i | 0.664373i | ||||||||
\(483\) | 7.66701 | + | 13.2797i | 0.348861 | + | 0.604245i | ||||
\(484\) | −0.840173 | − | 1.45522i | −0.0381897 | − | 0.0661465i | ||||
\(485\) | −9.18079 | + | 9.52248i | −0.416878 | + | 0.432393i | ||||
\(486\) | − | 36.0977i | − | 1.63742i | ||||||
\(487\) | −2.47220 | + | 4.28198i | −0.112026 | + | 0.194035i | −0.916587 | − | 0.399835i | \(-0.869067\pi\) |
0.804561 | + | 0.593870i | \(0.202401\pi\) | |||||||
\(488\) | −10.1031 | + | 17.4991i | −0.457346 | + | 0.792146i | ||||
\(489\) | − | 38.1978i | − | 1.72736i | ||||||
\(490\) | 9.74248 | − | 10.1051i | 0.440120 | − | 0.456501i | ||||
\(491\) | 19.7431 | + | 34.1961i | 0.890995 | + | 1.54325i | 0.838685 | + | 0.544617i | \(0.183325\pi\) |
0.0523101 | + | 0.998631i | \(0.483342\pi\) | |||||||
\(492\) | −0.738205 | − | 1.27861i | −0.0332808 | − | 0.0576441i | ||||
\(493\) | 4.72592i | 0.212845i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.65142 | − | 38.8443i | 0.433799 | − | 1.74592i | ||||
\(496\) | 3.50463 | − | 2.02340i | 0.157362 | − | 0.0908532i | ||||
\(497\) | −21.4364 | + | 12.3763i | −0.961552 | + | 0.555152i | ||||
\(498\) | 36.4712 | + | 21.0566i | 1.63431 | + | 0.943570i | ||||
\(499\) | 1.67089i | 0.0747993i | 0.999300 | + | 0.0373997i | \(0.0119075\pi\) | ||||
−0.999300 | + | 0.0373997i | \(0.988093\pi\) | |||||||
\(500\) | 3.92159 | − | 1.28479i | 0.175379 | − | 0.0574576i | ||||
\(501\) | −23.9666 | − | 13.8371i | −1.07075 | − | 0.618196i | ||||
\(502\) | 45.3439 | 2.02380 | ||||||||
\(503\) | 7.86833 | + | 4.54278i | 0.350832 | + | 0.202553i | 0.665051 | − | 0.746798i | \(-0.268410\pi\) |
−0.314220 | + | 0.949350i | \(0.601743\pi\) | |||||||
\(504\) | −15.1236 | − | 26.1949i | −0.673660 | − | 1.16681i | ||||
\(505\) | 10.1609 | + | 35.3266i | 0.452152 | + | 1.57202i | ||||
\(506\) | 11.0601 | 0.491683 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 6.64650i | − | 0.294891i | ||||||
\(509\) | −16.9257 | + | 9.77205i | −0.750218 | + | 0.433139i | −0.825773 | − | 0.564003i | \(-0.809261\pi\) |
0.0755545 | + | 0.997142i | \(0.475927\pi\) | |||||||
\(510\) | 2.77952 | + | 9.66365i | 0.123079 | + | 0.427914i | ||||
\(511\) | 1.66701 | − | 2.88735i | 0.0737444 | − | 0.127729i | ||||
\(512\) | 13.6114 | 0.601546 | ||||||||
\(513\) | 3.46081 | − | 5.99430i | 0.152799 | − | 0.264655i | ||||
\(514\) | −27.2803 | − | 15.7503i | −1.20328 | − | 0.694717i | ||||
\(515\) | 5.49466 | − | 22.1145i | 0.242124 | − | 0.974481i | ||||
\(516\) | −3.76293 | + | 6.51758i | −0.165654 | + | 0.286921i | ||||
\(517\) | −12.5547 | + | 7.24846i | −0.552155 | + | 0.318787i | ||||
\(518\) | 7.95774 | + | 13.7832i | 0.349643 | + | 0.605599i | ||||
\(519\) | 2.73820 | 0.120194 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.50534 | 0.285004 | 0.142502 | − | 0.989795i | \(-0.454485\pi\) | ||||
0.142502 | + | 0.989795i | \(0.454485\pi\) | |||||||
\(522\) | −27.8196 | − | 48.1849i | −1.21763 | − | 2.10900i | ||||
\(523\) | −31.6490 | + | 18.2726i | −1.38392 | + | 0.799004i | −0.992621 | − | 0.121261i | \(-0.961306\pi\) |
−0.391295 | + | 0.920265i | \(0.627973\pi\) | |||||||
\(524\) | −2.63090 | + | 4.55685i | −0.114931 | + | 0.199067i | ||||
\(525\) | 12.6803 | − | 23.9421i | 0.553416 | − | 1.04492i | ||||
\(526\) | 12.1880 | + | 7.03673i | 0.531421 | + | 0.306816i | ||||
\(527\) | −0.405220 | + | 0.701861i | −0.0176516 | + | 0.0305736i | ||||
\(528\) | −37.0433 | −1.61210 | ||||||||
\(529\) | −7.49579 | + | 12.9831i | −0.325904 | + | 0.564482i | ||||
\(530\) | 28.1047 | − | 8.08364i | 1.22079 | − | 0.351131i | ||||
\(531\) | −28.8315 | + | 16.6459i | −1.25118 | + | 0.722370i | ||||
\(532\) | 0.340173i | 0.0147484i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −62.6369 | −2.71056 | ||||||||
\(535\) | 20.9555 | − | 6.02735i | 0.905986 | − | 0.260585i | ||||
\(536\) | 9.87289 | + | 17.1003i | 0.426444 | + | 0.738622i | ||||
\(537\) | −54.6755 | − | 31.5669i | −2.35942 | − | 1.36221i | ||||
\(538\) | 17.5343 | 0.755956 | ||||||||
\(539\) | −8.96836 | − | 5.17789i | −0.386295 | − | 0.223027i | ||||
\(540\) | −7.62735 | − | 7.35367i | −0.328229 | − | 0.316451i | ||||
\(541\) | 20.3402i | 0.874492i | 0.899342 | + | 0.437246i | \(0.144046\pi\) | ||||
−0.899342 | + | 0.437246i | \(0.855954\pi\) | |||||||
\(542\) | −28.1725 | − | 16.2654i | −1.21011 | − | 0.698658i | ||||
\(543\) | −39.5049 | + | 22.8082i | −1.69532 | + | 0.978792i | ||||
\(544\) | 1.64640 | − | 0.950552i | 0.0705890 | − | 0.0407546i | ||||
\(545\) | −9.09275 | + | 36.5958i | −0.389491 | + | 1.56759i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 11.5948i | − | 0.495757i | −0.968791 | − | 0.247879i | \(-0.920267\pi\) | ||
0.968791 | − | 0.247879i | \(-0.0797334\pi\) | |||||||
\(548\) | −2.54411 | − | 4.40653i | −0.108679 | − | 0.188237i | ||||
\(549\) | 28.3721 | + | 49.1419i | 1.21089 | + | 2.09732i | ||||
\(550\) | −10.3823 | − | 16.5552i | −0.442704 | − | 0.705917i | ||||
\(551\) | − | 2.76487i | − | 0.117787i | ||||||
\(552\) | −11.2599 | + | 19.5026i | −0.479251 | + | 0.830088i | ||||
\(553\) | −0.424694 | + | 0.735591i | −0.0180598 | + | 0.0312805i | ||||
\(554\) | 20.1301i | 0.855246i | ||||||||
\(555\) | −30.8707 | − | 29.7630i | −1.31039 | − | 1.26337i | ||||
\(556\) | −1.22795 | − | 2.12686i | −0.0520765 | − | 0.0901991i | ||||
\(557\) | 5.36490 | + | 9.29227i | 0.227318 | + | 0.393726i | 0.957012 | − | 0.290047i | \(-0.0936710\pi\) |
−0.729694 | + | 0.683773i | \(0.760338\pi\) | |||||||
\(558\) | − | 9.54146i | − | 0.403922i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −17.0700 | − | 4.24128i | −0.721338 | − | 0.179227i | ||||
\(561\) | 6.42465 | − | 3.70928i | 0.271249 | − | 0.156606i | ||||
\(562\) | 0.906885 | − | 0.523590i | 0.0382546 | − | 0.0220863i | ||||
\(563\) | −8.87543 | − | 5.12423i | −0.374055 | − | 0.215961i | 0.301174 | − | 0.953569i | \(-0.402622\pi\) |
−0.675228 | + | 0.737609i | \(0.735955\pi\) | |||||||
\(564\) | 6.68035i | 0.281293i | ||||||||
\(565\) | −18.9287 | − | 18.2495i | −0.796335 | − | 0.767761i | ||||
\(566\) | 25.7206 | + | 14.8498i | 1.08112 | + | 0.624185i | ||||
\(567\) | −33.4101 | −1.40309 | ||||||||
\(568\) | −31.4817 | − | 18.1759i | −1.32094 | − | 0.762646i | ||||
\(569\) | 4.42276 | + | 7.66044i | 0.185412 | + | 0.321142i | 0.943715 | − | 0.330759i | \(-0.107305\pi\) |
−0.758304 | + | 0.651902i | \(0.773972\pi\) | |||||||
\(570\) | −1.62614 | − | 5.65365i | −0.0681114 | − | 0.236805i | ||||
\(571\) | −9.29299 | −0.388900 | −0.194450 | − | 0.980912i | \(-0.562292\pi\) | ||||
−0.194450 | + | 0.980912i | \(0.562292\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.68035i | 0.195524i | ||||||||
\(574\) | −2.87490 | + | 1.65983i | −0.119996 | + | 0.0692798i | ||||
\(575\) | −14.1401 | + | 0.516816i | −0.589684 | + | 0.0215527i | ||||
\(576\) | 21.2503 | − | 36.8066i | 0.885430 | − | 1.53361i | ||||
\(577\) | −19.5259 | −0.812872 | −0.406436 | − | 0.913679i | \(-0.633229\pi\) | ||||
−0.406436 | + | 0.913679i | \(0.633229\pi\) | |||||||
\(578\) | 12.4294 | − | 21.5284i | 0.516996 | − | 0.895463i | ||||
\(579\) | −48.6812 | − | 28.1061i | −2.02312 | − | 1.16805i | ||||
\(580\) | −4.10731 | − | 1.02052i | −0.170547 | − | 0.0423747i | ||||
\(581\) | 7.37629 | − | 12.7761i | 0.306020 | − | 0.530042i | ||||
\(582\) | 24.9968 | − | 14.4319i | 1.03615 | − | 0.598221i | ||||
\(583\) | −10.7877 | − | 18.6848i | −0.446779 | − | 0.773844i | ||||
\(584\) | 4.89639 | 0.202614 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.5730 | −0.602007 | ||||||||
\(587\) | −11.2514 | − | 19.4881i | −0.464397 | − | 0.804359i | 0.534777 | − | 0.844993i | \(-0.320396\pi\) |
−0.999174 | + | 0.0406341i | \(0.987062\pi\) | |||||||
\(588\) | −4.13272 | + | 2.38603i | −0.170431 | + | 0.0983981i | ||||
\(589\) | 0.237071 | − | 0.410619i | 0.00976834 | − | 0.0169193i | ||||
\(590\) | −3.91935 | + | 15.7743i | −0.161357 | + | 0.649419i | ||||
\(591\) | 5.49075 | + | 3.17009i | 0.225859 | + | 0.130400i | ||||
\(592\) | −13.9197 | + | 24.1096i | −0.572096 | + | 0.990898i | ||||
\(593\) | 4.43907 | 0.182291 | 0.0911454 | − | 0.995838i | \(-0.470947\pi\) | ||||
0.0911454 | + | 0.995838i | \(0.470947\pi\) | |||||||
\(594\) | −25.0856 | + | 43.4495i | −1.02927 | + | 1.78275i | ||||
\(595\) | 3.38525 | − | 0.973684i | 0.138782 | − | 0.0399172i | ||||
\(596\) | −2.90192 | + | 1.67543i | −0.118867 | + | 0.0686281i | ||||
\(597\) | − | 17.0928i | − | 0.699560i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −33.3607 | −1.36308 | −0.681540 | − | 0.731780i | \(-0.738690\pi\) | ||||
−0.681540 | + | 0.731780i | \(0.738690\pi\) | |||||||
\(600\) | 39.7621 | − | 1.45329i | 1.62328 | − | 0.0593304i | ||||
\(601\) | −6.65983 | − | 11.5352i | −0.271660 | − | 0.470529i | 0.697627 | − | 0.716461i | \(-0.254239\pi\) |
−0.969287 | + | 0.245932i | \(0.920906\pi\) | |||||||
\(602\) | 14.6546 | + | 8.46081i | 0.597275 | + | 0.344837i | ||||
\(603\) | 55.4512 | 2.25815 | ||||||||
\(604\) | −1.04763 | − | 0.604847i | −0.0426273 | − | 0.0246109i | ||||
\(605\) | 7.06549 | − | 7.32844i | 0.287253 | − | 0.297944i | ||||
\(606\) | − | 80.2122i | − | 3.25840i | ||||||
\(607\) | −12.2269 | − | 7.05919i | −0.496273 | − | 0.286523i | 0.230900 | − | 0.972977i | \(-0.425833\pi\) |
−0.727173 | + | 0.686454i | \(0.759166\pi\) | |||||||
\(608\) | −0.963217 | + | 0.556114i | −0.0390636 | + | 0.0225534i | ||||
\(609\) | −24.0628 | + | 13.8927i | −0.975076 | + | 0.562960i | ||||
\(610\) | 26.8865 | + | 6.68035i | 1.08860 | + | 0.270479i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | − | 2.39803i | − | 0.0969347i | ||||||
\(613\) | −13.4052 | − | 23.2185i | −0.541432 | − | 0.937787i | −0.998822 | − | 0.0485213i | \(-0.984549\pi\) |
0.457390 | − | 0.889266i | \(-0.348784\pi\) | |||||||
\(614\) | −0.203221 | − | 0.351989i | −0.00820134 | − | 0.0142051i | ||||
\(615\) | 6.20798 | − | 6.43902i | 0.250330 | − | 0.259646i | ||||
\(616\) | 10.8950i | 0.438970i | ||||||||
\(617\) | −7.44748 | + | 12.8994i | −0.299824 | + | 0.519311i | −0.976096 | − | 0.217342i | \(-0.930261\pi\) |
0.676271 | + | 0.736653i | \(0.263595\pi\) | |||||||
\(618\) | −24.8618 | + | 43.0619i | −1.00009 | + | 1.73221i | ||||
\(619\) | − | 45.3184i | − | 1.82150i | −0.412956 | − | 0.910751i | \(-0.635504\pi\) | ||
0.412956 | − | 0.910751i | \(-0.364496\pi\) | |||||||
\(620\) | −0.522486 | − | 0.503738i | −0.0209835 | − | 0.0202306i | ||||
\(621\) | 18.1639 | + | 31.4609i | 0.728894 | + | 1.26248i | ||||
\(622\) | −10.0410 | − | 17.3916i | −0.402609 | − | 0.697339i | ||||
\(623\) | 21.9421i | 0.879093i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.0472 | + | 20.6803i | 0.561887 | + | 0.827214i | ||||
\(626\) | 44.9225 | − | 25.9360i | 1.79546 | − | 1.03661i | ||||
\(627\) | −3.75870 | + | 2.17009i | −0.150108 | + | 0.0866649i | ||||
\(628\) | 4.10341 | + | 2.36910i | 0.163744 | + | 0.0945375i | ||||
\(629\) | − | 5.57531i | − | 0.222302i | ||||||
\(630\) | −28.7839 | + | 29.8551i | −1.14678 | + | 1.18946i | ||||
\(631\) | −32.8116 | − | 18.9438i | −1.30621 | − | 0.754141i | −0.324749 | − | 0.945800i | \(-0.605280\pi\) |
−0.981461 | + | 0.191660i | \(0.938613\pi\) | |||||||
\(632\) | −1.24742 | −0.0496197 | ||||||||
\(633\) | 62.4644 | + | 36.0638i | 2.48274 | + | 1.43341i | ||||
\(634\) | 10.7363 | + | 18.5958i | 0.426392 | + | 0.738532i | ||||
\(635\) | 38.6964 | − | 11.1301i | 1.53562 | − | 0.441684i | ||||
\(636\) | −9.94214 | −0.394232 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 20.0410i | 0.793432i | ||||||||
\(639\) | −88.4085 | + | 51.0427i | −3.49739 | + | 2.01922i | ||||
\(640\) | −8.28566 | − | 28.8071i | −0.327519 | − | 1.13870i | ||||
\(641\) | −4.23513 | + | 7.33547i | −0.167278 | + | 0.289733i | −0.937462 | − | 0.348088i | \(-0.886831\pi\) |
0.770184 | + | 0.637822i | \(0.220164\pi\) | |||||||
\(642\) | −47.5813 | −1.87788 | ||||||||
\(643\) | 17.0875 | − | 29.5964i | 0.673865 | − | 1.16717i | −0.302934 | − | 0.953012i | \(-0.597966\pi\) |
0.976799 | − | 0.214157i | \(-0.0687006\pi\) | |||||||
\(644\) | −1.54619 | − | 0.892693i | −0.0609284 | − | 0.0351770i | ||||
\(645\) | −44.2472 | − | 10.9939i | −1.74223 | − | 0.432883i | ||||
\(646\) | 0.382433 | − | 0.662394i | 0.0150466 | − | 0.0260615i | ||||
\(647\) | 11.9717 | − | 6.91189i | 0.470658 | − | 0.271734i | −0.245857 | − | 0.969306i | \(-0.579069\pi\) |
0.716515 | + | 0.697572i | \(0.245736\pi\) | |||||||
\(648\) | −24.5332 | − | 42.4928i | −0.963757 | − | 1.66928i | ||||
\(649\) | 11.9916 | 0.470711 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.76487 | −0.186750 | ||||||||
\(652\) | 2.22374 | + | 3.85163i | 0.0870884 | + | 0.150842i | ||||
\(653\) | 37.1336 | − | 21.4391i | 1.45315 | − | 0.838976i | 0.454490 | − | 0.890752i | \(-0.349822\pi\) |
0.998659 | + | 0.0517764i | \(0.0164883\pi\) | |||||||
\(654\) | 41.1422 | − | 71.2604i | 1.60879 | − | 2.78650i | ||||
\(655\) | −30.9360 | − | 7.68649i | −1.20877 | − | 0.300336i | ||||
\(656\) | −5.02879 | − | 2.90337i | −0.196341 | − | 0.113358i | ||||
\(657\) | 6.87516 | − | 11.9081i | 0.268225 | − | 0.464580i | ||||
\(658\) | 15.0205 | 0.585561 | ||||||||
\(659\) | −11.6248 | + | 20.1347i | −0.452836 | + | 0.784335i | −0.998561 | − | 0.0536293i | \(-0.982921\pi\) |
0.545725 | + | 0.837964i | \(0.316254\pi\) | |||||||
\(660\) | 1.83639 | + | 6.38467i | 0.0714816 | + | 0.248523i | ||||
\(661\) | 23.4399 | − | 13.5330i | 0.911707 | − | 0.526374i | 0.0307272 | − | 0.999528i | \(-0.490218\pi\) |
0.880980 | + | 0.473153i | \(0.156884\pi\) | |||||||
\(662\) | − | 28.4052i | − | 1.10400i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.6658 | 0.840796 | ||||||||
\(665\) | −1.98052 | + | 0.569647i | −0.0768011 | + | 0.0220900i | ||||
\(666\) | 32.8196 | + | 56.8452i | 1.27173 | + | 2.20270i | ||||
\(667\) | 12.5672 | + | 7.25565i | 0.486602 | + | 0.280940i | ||||
\(668\) | 3.22219 | 0.124670 | ||||||||
\(669\) | −24.0522 | − | 13.8865i | −0.929912 | − | 0.536885i | ||||
\(670\) | 18.7905 | − | 19.4898i | 0.725939 | − | 0.752957i | ||||
\(671\) | − | 20.4391i | − | 0.789042i | ||||||
\(672\) | 9.67980 | + | 5.58864i | 0.373407 | + | 0.215586i | ||||
\(673\) | 14.0046 | − | 8.08557i | 0.539838 | − | 0.311676i | −0.205175 | − | 0.978725i | \(-0.565776\pi\) |
0.745013 | + | 0.667050i | \(0.232443\pi\) | |||||||
\(674\) | 21.1378 | − | 12.2039i | 0.814199 | − | 0.470078i | ||||
\(675\) | 30.0410 | − | 56.7214i | 1.15628 | − | 2.18321i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 43.1194i | 1.65721i | 0.559831 | + | 0.828607i | \(0.310866\pi\) | ||||
−0.559831 | + | 0.828607i | \(0.689134\pi\) | |||||||
\(678\) | 28.6875 | + | 49.6883i | 1.10174 | + | 1.90827i | ||||
\(679\) | −5.05559 | − | 8.75654i | −0.194016 | − | 0.336045i | ||||
\(680\) | 3.72419 | + | 3.59056i | 0.142816 | + | 0.137692i | ||||
\(681\) | 54.6102i | 2.09267i | ||||||||
\(682\) | −1.71840 | + | 2.97636i | −0.0658010 | + | 0.113971i | ||||
\(683\) | 8.85464 | − | 15.3367i | 0.338813 | − | 0.586842i | −0.645396 | − | 0.763848i | \(-0.723308\pi\) |
0.984210 | + | 0.177006i | \(0.0566412\pi\) | |||||||
\(684\) | 1.40295i | 0.0536432i | ||||||||
\(685\) | 21.3948 | − | 22.1911i | 0.817455 | − | 0.847878i | ||||
\(686\) | 14.5730 | + | 25.2412i | 0.556401 | + | 0.963715i | ||||
\(687\) | −4.87936 | − | 8.45130i | −0.186159 | − | 0.322437i | ||||
\(688\) | 29.5993i | 1.12846i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 29.9649 | + | 7.44521i | 1.14075 | + | 0.283434i | ||||
\(691\) | 21.5462 | − | 12.4397i | 0.819655 | − | 0.473228i | −0.0306428 | − | 0.999530i | \(-0.509755\pi\) |
0.850297 | + | 0.526303i | \(0.176422\pi\) | |||||||
\(692\) | −0.276104 | + | 0.159409i | −0.0104959 | + | 0.00605980i | ||||
\(693\) | 26.4968 | + | 15.2979i | 1.00653 | + | 0.581120i | ||||
\(694\) | 14.9684i | 0.568193i | ||||||||
\(695\) | 10.3265 | − | 10.7108i | 0.391706 | − | 0.406284i | ||||
\(696\) | −35.3390 | − | 20.4030i | −1.33952 | − | 0.773372i | ||||
\(697\) | 1.16290 | 0.0440479 | ||||||||
\(698\) | 41.2014 | + | 23.7877i | 1.55950 | + | 0.900376i | ||||
\(699\) | −30.0144 | − | 51.9864i | −1.13525 | − | 1.96631i | ||||
\(700\) | 0.115218 | + | 3.15238i | 0.00435485 | + | 0.119149i | ||||
\(701\) | −33.0661 | −1.24889 | −0.624445 | − | 0.781069i | \(-0.714675\pi\) | ||||
−0.624445 | + | 0.781069i | \(0.714675\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.26180i | 0.123021i | ||||||||
\(704\) | −13.2576 | + | 7.65430i | −0.499666 | + | 0.288482i | ||||
\(705\) | −38.8935 | + | 11.1868i | −1.46481 | + | 0.421319i | ||||
\(706\) | 4.57951 | − | 7.93195i | 0.172352 | − | 0.298523i | ||||
\(707\) | −28.0989 | −1.05677 | ||||||||
\(708\) | 2.76293 | − | 4.78553i | 0.103837 | − | 0.179851i | ||||
\(709\) | 1.89090 | + | 1.09171i | 0.0710141 | + | 0.0410000i | 0.535087 | − | 0.844797i | \(-0.320279\pi\) |
−0.464073 | + | 0.885797i | \(0.653612\pi\) | |||||||
\(710\) | −12.0183 | + | 48.3701i | −0.451037 | + | 1.81530i | ||||
\(711\) | −1.75154 | + | 3.03375i | −0.0656877 | + | 0.113774i | ||||
\(712\) | −27.9072 | + | 16.1122i | −1.04587 | + | 0.603831i | ||||
\(713\) | 1.24426 | + | 2.15512i | 0.0465979 | + | 0.0807099i | ||||
\(714\) | −7.68649 | −0.287660 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.35085 | 0.274714 | ||||||||
\(717\) | 10.5217 | + | 18.2240i | 0.392938 | + | 0.680589i | ||||
\(718\) | 14.6338 | − | 8.44881i | 0.546127 | − | 0.315307i | ||||
\(719\) | −2.60424 | + | 4.51067i | −0.0971216 | + | 0.168220i | −0.910492 | − | 0.413526i | \(-0.864297\pi\) |
0.813370 | + | 0.581746i | \(0.197630\pi\) | |||||||
\(720\) | −70.4005 | − | 17.4920i | −2.62367 | − | 0.651889i | ||||
\(721\) | 15.0849 | + | 8.70928i | 0.561791 | + | 0.324350i | ||||
\(722\) | 14.3986 | − | 24.9390i | 0.535859 | − | 0.928134i | ||||
\(723\) | 30.0410 | 1.11724 | ||||||||
\(724\) | 2.65562 | − | 4.59967i | 0.0986954 | − | 0.170945i | ||||
\(725\) | −0.936475 | − | 25.6220i | −0.0347798 | − | 0.951578i | ||||
\(726\) | −19.2374 | + | 11.1067i | −0.713965 | + | 0.412208i | ||||
\(727\) | 3.52464i | 0.130721i | 0.997862 | + | 0.0653607i | \(0.0208198\pi\) | ||||
−0.997862 | + | 0.0653607i | \(0.979180\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −15.7070 | −0.581741 | ||||||||
\(730\) | −1.85568 | − | 6.45171i | −0.0686817 | − | 0.238788i | ||||
\(731\) | −2.96388 | − | 5.13360i | −0.109623 | − | 0.189873i | ||||
\(732\) | −8.15670 | − | 4.70928i | −0.301480 | − | 0.174060i | ||||
\(733\) | 21.8310 | 0.806345 | 0.403172 | − | 0.915124i | \(-0.367907\pi\) | ||||
0.403172 | + | 0.915124i | \(0.367907\pi\) | |||||||
\(734\) | −13.8283 | − | 7.98379i | −0.510413 | − | 0.294687i | ||||
\(735\) | −20.8122 | − | 20.0654i | −0.767670 | − | 0.740125i | ||||
\(736\) | − | 5.83749i | − | 0.215173i | ||||||
\(737\) | −17.2974 | − | 9.98667i | −0.637159 | − | 0.367864i | ||||
\(738\) | −11.8568 | + | 6.84551i | −0.436454 | + | 0.251987i | ||||
\(739\) | −43.6073 | + | 25.1767i | −1.60412 | + | 0.926139i | −0.613468 | + | 0.789720i | \(0.710226\pi\) |
−0.990651 | + | 0.136419i | \(0.956441\pi\) | |||||||
\(740\) | 4.84551 | + | 1.20394i | 0.178125 | + | 0.0442576i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.3545i | 0.820661i | ||||||||
\(743\) | 15.3938 | + | 26.6629i | 0.564745 | + | 0.978167i | 0.997073 | + | 0.0764505i | \(0.0243587\pi\) |
−0.432329 | + | 0.901716i | \(0.642308\pi\) | |||||||
\(744\) | −3.49887 | − | 6.06021i | −0.128275 | − | 0.222178i | ||||
\(745\) | −14.6140 | − | 14.0896i | −0.535414 | − | 0.516203i | ||||
\(746\) | − | 36.9216i | − | 1.35180i | ||||||
\(747\) | 30.4215 | − | 52.6916i | 1.11307 | − | 1.92789i | ||||
\(748\) | −0.431882 | + | 0.748041i | −0.0157912 | + | 0.0273511i | ||||
\(749\) | 16.6681i | 0.609038i | ||||||||
\(750\) | −16.9843 | − | 51.8416i | −0.620180 | − | 1.89299i | ||||
\(751\) | −5.31124 | − | 9.19934i | −0.193810 | − | 0.335689i | 0.752700 | − | 0.658364i | \(-0.228751\pi\) |
−0.946510 | + | 0.322675i | \(0.895418\pi\) | |||||||
\(752\) | 13.1370 | + | 22.7539i | 0.479055 | + | 0.829748i | ||||
\(753\) | − | 93.3894i | − | 3.40330i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.76713 | − | 7.11223i | 0.0643126 | − | 0.258840i | ||||
\(756\) | 7.01385 | − | 4.04945i | 0.255091 | − | 0.147277i | ||||
\(757\) | −6.91575 | + | 3.99281i | −0.251357 | + | 0.145121i | −0.620386 | − | 0.784297i | \(-0.713024\pi\) |
0.369028 | + | 0.929418i | \(0.379691\pi\) | |||||||
\(758\) | 39.6661 | + | 22.9012i | 1.44074 | + | 0.831809i | ||||
\(759\) | − | 22.7792i | − | 0.826834i | ||||||
\(760\) | −2.17881 | − | 2.10063i | −0.0790338 | − | 0.0761979i | ||||
\(761\) | 42.3798 | + | 24.4680i | 1.53627 | + | 0.886964i | 0.999053 | + | 0.0435187i | \(0.0138568\pi\) |
0.537215 | + | 0.843446i | \(0.319477\pi\) | |||||||
\(762\) | −87.8636 | −3.18296 | ||||||||
\(763\) | −24.9630 | − | 14.4124i | −0.903722 | − | 0.521764i | ||||
\(764\) | −0.272473 | − | 0.471937i | −0.00985773 | − | 0.0170741i | ||||
\(765\) | 13.9615 | − | 4.01570i | 0.504780 | − | 0.145188i | ||||
\(766\) | −19.1110 | −0.690509 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 27.1845i | 0.980935i | ||||||||
\(769\) | −6.92428 | + | 3.99773i | −0.249696 | + | 0.144162i | −0.619625 | − | 0.784898i | \(-0.712715\pi\) |
0.369929 | + | 0.929060i | \(0.379382\pi\) | |||||||
\(770\) | 14.3557 | − | 4.12907i | 0.517343 | − | 0.148801i | ||||
\(771\) | −32.4391 | + | 56.1861i | −1.16826 | + | 2.02349i | ||||
\(772\) | 6.54495 | 0.235558 | ||||||||
\(773\) | 13.3070 | − | 23.0485i | 0.478621 | − | 0.828996i | −0.521079 | − | 0.853509i | \(-0.674470\pi\) |
0.999700 | + | 0.0245130i | \(0.00780350\pi\) | |||||||
\(774\) | 60.4388 | + | 34.8943i | 2.17243 | + | 1.25425i | ||||
\(775\) | 2.05786 | − | 3.88550i | 0.0739205 | − | 0.139571i | ||||
\(776\) | 7.42469 | − | 12.8599i | 0.266531 | − | 0.461645i | ||||
\(777\) | 28.3877 | − | 16.3896i | 1.01840 | − | 0.587974i | ||||
\(778\) | −12.9577 | − | 22.4435i | −0.464557 | − | 0.804637i | ||||
\(779\) | −0.680346 | −0.0243759 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.7708 | 1.31576 | ||||||||
\(782\) | 2.00719 | + | 3.47655i | 0.0717769 | + | 0.124321i | ||||
\(783\) | −57.0074 | + | 32.9132i | −2.03728 | + | 1.17622i | ||||
\(784\) | −9.38428 | + | 16.2541i | −0.335153 | + | 0.580502i | ||||
\(785\) | −6.92162 | + | 27.8576i | −0.247043 | + | 0.994281i | ||||
\(786\) | 60.2394 | + | 34.7792i | 2.14867 | + | 1.24053i | ||||
\(787\) | 4.62896 | − | 8.01759i | 0.165005 | − | 0.285796i | −0.771652 | − | 0.636045i | \(-0.780569\pi\) |
0.936657 | + | 0.350248i | \(0.113903\pi\) | |||||||
\(788\) | −0.738205 | −0.0262975 | ||||||||
\(789\) | 14.4927 | − | 25.1021i | 0.515955 | − | 0.893660i | ||||
\(790\) | 0.472758 | + | 1.64366i | 0.0168200 | + | 0.0584787i | ||||
\(791\) | 17.4062 | − | 10.0494i | 0.618892 | − | 0.357317i | ||||
\(792\) | 44.9333i | 1.59664i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 5.99159 | 0.212634 | ||||||||
\(795\) | −16.6489 | − | 57.8840i | −0.590477 | − | 2.05293i | ||||
\(796\) | 0.995079 | + | 1.72353i | 0.0352697 | + | 0.0610888i | ||||
\(797\) | 13.8063 | + | 7.97107i | 0.489044 | + | 0.282350i | 0.724178 | − | 0.689613i | \(-0.242219\pi\) |
−0.235134 | + | 0.971963i | \(0.575553\pi\) | |||||||
\(798\) | 4.49693 | 0.159190 | ||||||||
\(799\) | −4.55685 | − | 2.63090i | −0.161210 | − | 0.0930745i | ||||
\(800\) | −8.73778 | + | 5.47975i | −0.308927 | + | 0.193739i | ||||
\(801\) | 90.4945i | 3.19747i | ||||||||
\(802\) | −12.1368 | − | 7.00719i | −0.428566 | − | 0.247432i | ||||
\(803\) | −4.28927 | + | 2.47641i | −0.151365 | + | 0.0873906i | ||||
\(804\) | −7.97084 | + | 4.60197i | −0.281110 | + | 0.162299i | ||||
\(805\) | 2.60811 | − | 10.4969i | 0.0919238 | − | 0.369968i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 36.1133i | − | 1.27125i | ||||||
\(808\) | −20.6332 | − | 35.7377i | −0.725872 | − | 1.25725i | ||||
\(809\) | 8.96194 | + | 15.5225i | 0.315085 | + | 0.545744i | 0.979456 | − | 0.201660i | \(-0.0646336\pi\) |
−0.664370 | + | 0.747403i | \(0.731300\pi\) | |||||||
\(810\) | −46.6926 | + | 48.4304i | −1.64061 | + | 1.70167i | ||||
\(811\) | − | 7.43415i | − | 0.261048i | −0.991445 | − | 0.130524i | \(-0.958334\pi\) | ||
0.991445 | − | 0.130524i | \(-0.0416660\pi\) | |||||||
\(812\) | 1.61757 | − | 2.80171i | 0.0567655 | − | 0.0983207i | ||||
\(813\) | −33.4999 | + | 58.0235i | −1.17489 | + | 2.03497i | ||||
\(814\) | − | 23.6430i | − | 0.828687i | ||||||
\(815\) | −18.7007 | + | 19.3967i | −0.655056 | + | 0.679436i | ||||
\(816\) | −6.72261 | − | 11.6439i | −0.235338 | − | 0.407618i | ||||
\(817\) | 1.73400 | + | 3.00338i | 0.0606650 | + | 0.105075i | ||||
\(818\) | 29.8888i | 1.04504i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.251117 | + | 1.01068i | −0.00876940 | + | 0.0352944i | ||||
\(821\) | −17.7363 | + | 10.2401i | −0.619001 | + | 0.357380i | −0.776480 | − | 0.630142i | \(-0.782997\pi\) |
0.157479 | + | 0.987522i | \(0.449663\pi\) | |||||||
\(822\) | −58.2522 | + | 33.6319i | −2.03178 | + | 1.17305i | ||||
\(823\) | 3.24893 | + | 1.87577i | 0.113250 | + | 0.0653852i | 0.555555 | − | 0.831480i | \(-0.312506\pi\) |
−0.442305 | + | 0.896865i | \(0.645839\pi\) | |||||||
\(824\) | 25.5811i | 0.891159i | ||||||||
\(825\) | −34.0969 | + | 21.3833i | −1.18710 | + | 0.744470i | ||||
\(826\) | −10.7601 | − | 6.21235i | −0.374392 | − | 0.216155i | ||||
\(827\) | 48.1483 | 1.67428 | 0.837141 | − | 0.546987i | \(-0.184225\pi\) | ||||
0.837141 | + | 0.546987i | \(0.184225\pi\) | |||||||
\(828\) | −6.37684 | − | 3.68167i | −0.221611 | − | 0.127947i | ||||
\(829\) | −18.2804 | − | 31.6625i | −0.634904 | − | 1.09969i | −0.986536 | − | 0.163547i | \(-0.947706\pi\) |
0.351632 | − | 0.936138i | \(-0.385627\pi\) | |||||||
\(830\) | −8.21109 | − | 28.5478i | −0.285011 | − | 0.990910i | ||||
\(831\) | 41.4596 | 1.43822 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 3.75872i | − | 0.130232i | ||||||
\(834\) | −28.1161 | + | 16.2329i | −0.973583 | + | 0.562098i | ||||
\(835\) | 5.39582 | + | 18.7598i | 0.186730 | + | 0.649211i | ||||
\(836\) | 0.252669 | − | 0.437636i | 0.00873876 | − | 0.0151360i | ||||
\(837\) | −11.2885 | −0.390186 | ||||||||
\(838\) | 12.9132 | − | 22.3663i | 0.446079 | − | 0.772632i | ||||
\(839\) | 39.1698 | + | 22.6147i | 1.35229 | + | 0.780746i | 0.988570 | − | 0.150762i | \(-0.0481728\pi\) |
0.363721 | + | 0.931508i | \(0.381506\pi\) | |||||||
\(840\) | −7.33403 | + | 29.5174i | −0.253048 | + | 1.01845i | ||||
\(841\) | 1.35270 | − | 2.34294i | 0.0466448 | − | 0.0807912i | ||||
\(842\) | −25.3539 | + | 14.6381i | −0.873753 | + | 0.504462i | ||||
\(843\) | −1.07838 | − | 1.86781i | −0.0371413 | − | 0.0643306i | ||||
\(844\) | −8.39803 | −0.289072 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 61.9481 | 2.12982 | ||||||||
\(847\) | 3.89076 | + | 6.73899i | 0.133688 | + | 0.231554i | ||||
\(848\) | −33.8638 | + | 19.5513i | −1.16289 | + | 0.671394i | ||||
\(849\) | 30.5844 | − | 52.9738i | 1.04965 | − | 1.81806i | ||||
\(850\) | 3.31965 | − | 6.26794i | 0.113863 | − | 0.214989i | ||||
\(851\) | −14.8258 | − | 8.55971i | −0.508224 | − | 0.293423i | ||||
\(852\) | 8.47220 | − | 14.6743i | 0.290253 | − | 0.502733i | ||||
\(853\) | −37.2534 | −1.27553 | −0.637766 | − | 0.770230i | \(-0.720141\pi\) | ||||
−0.637766 | + | 0.770230i | \(0.720141\pi\) | |||||||
\(854\) | −10.5886 | + | 18.3401i | −0.362336 | + | 0.627584i | ||||
\(855\) | −8.16810 | + | 2.34936i | −0.279343 | + | 0.0803463i | ||||
\(856\) | −21.1993 | + | 12.2394i | −0.724578 | + | 0.418336i | ||||
\(857\) | − | 10.8371i | − | 0.370188i | −0.982721 | − | 0.185094i | \(-0.940741\pi\) | ||
0.982721 | − | 0.185094i | \(-0.0592590\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.6081 | −0.498422 | −0.249211 | − | 0.968449i | \(-0.580171\pi\) | ||||
−0.249211 | + | 0.968449i | \(0.580171\pi\) | |||||||
\(860\) | 5.10164 | − | 1.46736i | 0.173965 | − | 0.0500367i | ||||
\(861\) | 3.41855 | + | 5.92110i | 0.116504 | + | 0.201791i | ||||
\(862\) | −10.7038 | − | 6.17982i | −0.364572 | − | 0.210486i | ||||
\(863\) | 10.3440 | 0.352116 | 0.176058 | − | 0.984380i | \(-0.443665\pi\) | ||||
0.176058 | + | 0.984380i | \(0.443665\pi\) | |||||||
\(864\) | 22.9324 | + | 13.2401i | 0.780178 | + | 0.450436i | ||||
\(865\) | −1.39045 | − | 1.34056i | −0.0472767 | − | 0.0455803i | ||||
\(866\) | 20.0821i | 0.682417i | ||||||||
\(867\) | −44.3395 | − | 25.5994i | −1.50585 | − | 0.869402i | ||||
\(868\) | 0.480460 | − | 0.277394i | 0.0163079 | − | 0.00941535i | ||||
\(869\) | 1.09275 | − | 0.630898i | 0.0370689 | − | 0.0214017i | ||||
\(870\) | −13.4908 | + | 54.2967i | −0.457380 | + | 1.84083i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 42.3324i | − | 1.43356i | ||||||
\(873\) | −20.8504 | − | 36.1140i | −0.705680 | − | 1.22227i | ||||
\(874\) | −1.17429 | − | 2.03393i | −0.0397210 | − | 0.0687988i | ||||
\(875\) | −18.1605 | + | 5.94973i | −0.613937 | + | 0.201138i | ||||
\(876\) | 2.28231i | 0.0771122i | ||||||||
\(877\) | −19.0338 | + | 32.9676i | −0.642727 | + | 1.11324i | 0.342094 | + | 0.939666i | \(0.388864\pi\) |
−0.984821 | + | 0.173571i | \(0.944469\pi\) | |||||||
\(878\) | −5.92654 | + | 10.2651i | −0.200011 | + | 0.346429i | ||||
\(879\) | 30.0144i | 1.01236i | ||||||||
\(880\) | 18.8104 | + | 18.1355i | 0.634099 | + | 0.611347i | ||||
\(881\) | 6.02472 | + | 10.4351i | 0.202978 | + | 0.351568i | 0.949487 | − | 0.313807i | \(-0.101605\pi\) |
−0.746509 | + | 0.665376i | \(0.768271\pi\) | |||||||
\(882\) | 22.1261 | + | 38.3235i | 0.745024 | + | 1.29042i | ||||
\(883\) | − | 0.320699i | − | 0.0107924i | −0.999985 | − | 0.00539619i | \(-0.998282\pi\) | ||
0.999985 | − | 0.00539619i | \(-0.00171767\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 32.4885 | + | 8.07223i | 1.09209 | + | 0.271345i | ||||
\(886\) | −8.51885 | + | 4.91836i | −0.286196 | + | 0.165235i | ||||
\(887\) | 3.13626 | − | 1.81072i | 0.105305 | − | 0.0607981i | −0.446422 | − | 0.894822i | \(-0.647302\pi\) |
0.551728 | + | 0.834024i | \(0.313969\pi\) | |||||||
\(888\) | 41.6904 | + | 24.0700i | 1.39904 | + | 0.807735i | ||||
\(889\) | 30.7792i | 1.03230i | ||||||||
\(890\) | 31.8067 | + | 30.6654i | 1.06616 | + | 1.02791i | ||||
\(891\) | 42.9825 | + | 24.8160i | 1.43997 | + | 0.831366i | ||||
\(892\) | 3.23370 | 0.108272 | ||||||||
\(893\) | 2.66595 | + | 1.53919i | 0.0892127 | + | 0.0515070i | ||||
\(894\) | 22.1483 | + | 38.3621i | 0.740751 | + | 1.28302i | ||||
\(895\) | 12.3096 | + | 42.7973i | 0.411464 | + | 1.43055i | ||||
\(896\) | 22.9132 | 0.765477 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 48.6635i | 1.62392i | ||||||||
\(899\) | −3.90509 | + | 2.25461i | −0.130242 | + | 0.0751954i | ||||
\(900\) | 0.475187 | + | 13.0012i | 0.0158396 | + | 0.433372i | ||||
\(901\) | 3.91548 | − | 6.78181i | 0.130444 | − | 0.225935i | ||||
\(902\) | 4.93146 | 0.164200 | ||||||||
\(903\) | 17.4257 | − | 30.1823i | 0.579892 | − | 1.00440i | ||||
\(904\) | 25.5629 | + | 14.7587i | 0.850208 | + | 0.490868i | ||||
\(905\) | 31.2267 | + | 7.75872i | 1.03801 | + | 0.257909i | ||||
\(906\) | −7.99579 | + | 13.8491i | −0.265642 | + | 0.460106i | ||||
\(907\) | −9.46855 | + | 5.46667i | −0.314398 | + | 0.181518i | −0.648893 | − | 0.760880i | \(-0.724768\pi\) |
0.334495 | + | 0.942398i | \(0.391434\pi\) | |||||||
\(908\) | −3.17921 | − | 5.50656i | −0.105506 | − | 0.182742i | ||||
\(909\) | −115.886 | −3.84371 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −37.5897 | −1.24540 | −0.622701 | − | 0.782460i | \(-0.713965\pi\) | ||||
−0.622701 | + | 0.782460i | \(0.713965\pi\) | |||||||
\(912\) | 3.93302 | + | 6.81218i | 0.130235 | + | 0.225574i | ||||
\(913\) | −18.9794 | + | 10.9577i | −0.628125 | + | 0.362648i | ||||
\(914\) | −27.4307 | + | 47.5113i | −0.907326 | + | 1.57153i | ||||
\(915\) | 13.7587 | − | 55.3751i | 0.454849 | − | 1.83064i | ||||
\(916\) | 0.984010 | + | 0.568118i | 0.0325126 | + | 0.0187712i | ||||
\(917\) | 12.1834 | − | 21.1023i | 0.402332 | − | 0.696859i | ||||
\(918\) | −18.2101 | −0.601022 | ||||||||
\(919\) | 16.8371 | − | 29.1627i | 0.555405 | − | 0.961989i | −0.442467 | − | 0.896785i | \(-0.645897\pi\) |
0.997872 | − | 0.0652045i | \(-0.0207700\pi\) | |||||||
\(920\) | 15.2657 | − | 4.39081i | 0.503296 | − | 0.144761i | ||||
\(921\) | −0.724951 | + | 0.418551i | −0.0238880 | + | 0.0137917i | ||||
\(922\) | − | 23.0563i | − | 0.759317i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −5.07838 | −0.167066 | ||||||||
\(925\) | 1.10479 | + | 30.2271i | 0.0363252 | + | 0.993860i | ||||
\(926\) | −7.00072 | − | 12.1256i | −0.230058 | − | 0.398472i | ||||
\(927\) | 62.2137 | + | 35.9191i | 2.04336 | + | 1.17974i | ||||
\(928\) | 10.5776 | 0.347226 | ||||||||
\(929\) | 37.4157 | + | 21.6020i | 1.22757 | + | 0.708738i | 0.966521 | − | 0.256588i | \(-0.0825984\pi\) |
0.261049 | + | 0.965326i | \(0.415932\pi\) | |||||||
\(930\) | −6.65918 | + | 6.90702i | −0.218363 | + | 0.226490i | ||||
\(931\) | 2.19902i | 0.0720698i | ||||||||
\(932\) | 6.05293 | + | 3.49466i | 0.198270 | + | 0.114471i | ||||
\(933\) | −35.8194 | + | 20.6803i | −1.17267 | + | 0.677044i | ||||
\(934\) | 2.50212 | − | 1.44460i | 0.0818720 | − | 0.0472688i | ||||
\(935\) | −5.07838 | − | 1.26180i | −0.166081 | − | 0.0412651i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 27.5630i | − | 0.900445i | −0.892916 | − | 0.450222i | \(-0.851345\pi\) | ||
0.892916 | − | 0.450222i | \(-0.148655\pi\) | |||||||
\(938\) | 10.3474 | + | 17.9222i | 0.337853 | + | 0.585179i | ||||
\(939\) | −53.4173 | − | 92.5215i | −1.74321 | − | 3.01933i | ||||
\(940\) | 3.27053 | − | 3.39225i | 0.106673 | − | 0.110643i | ||||
\(941\) | − | 58.1666i | − | 1.89618i | −0.318007 | − | 0.948088i | \(-0.603013\pi\) | ||
0.318007 | − | 0.948088i | \(-0.396987\pi\) | |||||||
\(942\) | 31.3184 | − | 54.2451i | 1.02041 | − | 1.76740i | ||||
\(943\) | 1.78539 | − | 3.09238i | 0.0581402 | − | 0.100702i | ||||
\(944\) | − | 21.7333i | − | 0.707358i | ||||||
\(945\) | 35.3215 | + | 34.0541i | 1.14901 | + | 1.10778i | ||||
\(946\) | −12.5688 | − | 21.7699i | −0.408648 | − | 0.707799i | ||||
\(947\) | −24.2576 | − | 42.0154i | −0.788266 | − | 1.36532i | −0.927029 | − | 0.374991i | \(-0.877646\pi\) |
0.138763 | − | 0.990326i | \(-0.455687\pi\) | |||||||
\(948\) | − | 0.581449i | − | 0.0188846i | ||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −1.94214 | + | 3.66701i | −0.0630114 | + | 0.118974i | ||||
\(951\) | 38.2995 | − | 22.1122i | 1.24195 | − | 0.717038i | ||||
\(952\) | −3.42463 | + | 1.97721i | −0.110993 | + | 0.0640819i | ||||
\(953\) | −19.9488 | − | 11.5174i | −0.646205 | − | 0.373087i | 0.140796 | − | 0.990039i | \(-0.455034\pi\) |
−0.787001 | + | 0.616952i | \(0.788367\pi\) | |||||||
\(954\) | 92.1953i | 2.98493i | ||||||||
\(955\) | 2.29138 | − | 2.37666i | 0.0741473 | − | 0.0769069i | ||||
\(956\) | −2.12188 | − | 1.22507i | −0.0686264 | − | 0.0396215i | ||||
\(957\) | 41.2762 | 1.33427 | ||||||||
\(958\) | 20.9852 | + | 12.1158i | 0.678002 | + | 0.391444i | ||||
\(959\) | 11.7815 | + | 20.4062i | 0.380445 | + | 0.658950i | ||||
\(960\) | −41.0711 | + | 11.8131i | −1.32556 | + | 0.381267i | ||||
\(961\) | 30.2267 | 0.975056 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 68.7429i | 2.21521i | ||||||||
\(964\) | −3.02915 | + | 1.74888i | −0.0975625 | + | 0.0563277i | ||||
\(965\) | 10.9600 | + | 38.1052i | 0.352816 | + | 1.22665i | ||||
\(966\) | −11.8010 | + | 20.4399i | −0.379690 | + | 0.657643i | ||||
\(967\) | −54.9998 | −1.76868 | −0.884338 | − | 0.466848i | \(-0.845389\pi\) | ||||
−0.884338 | + | 0.466848i | \(0.845389\pi\) | |||||||
\(968\) | −5.71400 | + | 9.89694i | −0.183655 | + | 0.318100i | ||||
\(969\) | −1.36426 | − | 0.787653i | −0.0438262 | − | 0.0253031i | ||||
\(970\) | −19.7587 | − | 4.90934i | −0.634414 | − | 0.157629i | ||||
\(971\) | −4.85270 | + | 8.40512i | −0.155731 | + | 0.269733i | −0.933325 | − | 0.359033i | \(-0.883106\pi\) |
0.777594 | + | 0.628766i | \(0.216440\pi\) | |||||||
\(972\) | 7.49661 | − | 4.32817i | 0.240454 | − | 0.138826i | ||||
\(973\) | 5.68649 | + | 9.84929i | 0.182300 | + | 0.315754i | ||||
\(974\) | −7.61038 | −0.243852 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −37.0433 | −1.18573 | ||||||||
\(977\) | 16.1031 | + | 27.8914i | 0.515184 | + | 0.892325i | 0.999845 | + | 0.0176225i | \(0.00560970\pi\) |
−0.484661 | + | 0.874702i | \(0.661057\pi\) | |||||||
\(978\) | 50.9168 | − | 29.3968i | 1.62814 | − | 0.940006i | ||||
\(979\) | 16.2979 | − | 28.2288i | 0.520884 | − | 0.902197i | ||||
\(980\) | 3.26672 | + | 0.811662i | 0.104351 | + | 0.0259276i | ||||
\(981\) | −102.953 | − | 59.4401i | −3.28705 | − | 1.89778i | ||||
\(982\) | −30.3884 | + | 52.6343i | −0.969733 | + | 1.67963i | ||||
\(983\) | −44.0782 | −1.40588 | −0.702938 | − | 0.711251i | \(-0.748129\pi\) | ||||
−0.702938 | + | 0.711251i | \(0.748129\pi\) | |||||||
\(984\) | −5.02052 | + | 8.69579i | −0.160048 | + | 0.277212i | ||||
\(985\) | −1.23618 | − | 4.29789i | −0.0393881 | − | 0.136942i | ||||
\(986\) | −6.29954 | + | 3.63704i | −0.200618 | + | 0.115827i | ||||
\(987\) | − | 30.9360i | − | 0.984704i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.2017 | −0.578779 | ||||||||
\(990\) | 59.2062 | − | 17.0292i | 1.88170 | − | 0.541225i | ||||
\(991\) | −6.03385 | − | 10.4509i | −0.191672 | − | 0.331985i | 0.754133 | − | 0.656722i | \(-0.228058\pi\) |
−0.945804 | + | 0.324737i | \(0.894724\pi\) | |||||||
\(992\) | 1.57091 | + | 0.906965i | 0.0498764 | + | 0.0287962i | ||||
\(993\) | −58.5029 | −1.85653 | ||||||||
\(994\) | −32.9946 | − | 19.0494i | −1.04653 | − | 0.604212i | ||||
\(995\) | −8.36818 | + | 8.67962i | −0.265289 | + | 0.275163i | ||||
\(996\) | 10.0989i | 0.319996i | ||||||||
\(997\) | 39.6282 | + | 22.8794i | 1.25504 | + | 0.724597i | 0.972106 | − | 0.234543i | \(-0.0753594\pi\) |
0.282933 | + | 0.959140i | \(0.408693\pi\) | |||||||
\(998\) | −2.22726 | + | 1.28591i | −0.0705026 | + | 0.0407047i | ||||
\(999\) | 67.2533 | − | 38.8287i | 2.12780 | − | 1.22849i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))