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 | 699.3 | ||
Root | \(0.312819 - 1.16746i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.699 |
Dual form | 845.2.l.e.654.3 |
$q$-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 | \(0.701242\pi\) |
−0.994107 | + | 0.108407i | \(0.965425\pi\) | |||||||
\(4\) | −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 | ||||
\(10\) | −2.38881 | − | 2.47772i | −0.755409 | − | 0.783523i | ||||
\(11\) | 2.19900 | − | 1.26959i | 0.663024 | − | 0.382797i | −0.130404 | − | 0.991461i | \(-0.541627\pi\) |
0.793428 | + | 0.608664i | \(0.208294\pi\) | |||||||
\(12\) | − | 1.17009i | − | 0.337775i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.63090 | 0.703137 | ||||||||
\(15\) | 5.10306 | − | 4.91996i | 1.31761 | − | 1.27033i | ||||
\(16\) | 2.30098 | + | 3.98542i | 0.575246 | + | 0.996355i | ||||
\(17\) | 0.798148 | + | 0.460811i | 0.193579 | + | 0.111763i | 0.593657 | − | 0.804718i | \(-0.297684\pi\) |
−0.400078 | + | 0.916481i | \(0.631017\pi\) | |||||||
\(18\) | 10.8504 | 2.55747 | ||||||||
\(19\) | −0.466951 | − | 0.269594i | −0.107126 | − | 0.0618492i | 0.445480 | − | 0.895292i | \(-0.353033\pi\) |
−0.552606 | + | 0.833443i | \(0.686366\pi\) | |||||||
\(20\) | 0.228139 | − | 0.793181i | 0.0510135 | − | 0.177361i | ||||
\(21\) | 5.41855i | 1.18242i | ||||||||
\(22\) | 3.38468 | + | 1.95415i | 0.721616 | + | 0.416625i | ||||
\(23\) | 2.45078 | − | 1.41496i | 0.511022 | − | 0.295039i | −0.222231 | − | 0.974994i | \(-0.571334\pi\) |
0.733254 | + | 0.679955i | \(0.238001\pi\) | |||||||
\(24\) | −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 | \(0.991286\pi\) | |||||||
\(30\) | 10.4855 | + | 3.01589i | 1.91438 | + | 0.550624i | ||||
\(31\) | 0.879362i | 0.157938i | 0.996877 | + | 0.0789690i | \(0.0251628\pi\) | ||||
−0.996877 | + | 0.0789690i | \(0.974837\pi\) | |||||||
\(32\) | −1.03139 | + | 1.78642i | −0.182326 | + | 0.315797i | ||||
\(33\) | −4.02472 | + | 6.97103i | −0.700615 | + | 1.21350i | ||||
\(34\) | 1.41855i | 0.243279i | ||||||||
\(35\) | −1.05649 | + | 3.67314i | −0.178579 | + | 0.620874i | ||||
\(36\) | 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 | −0.412238 | − | 0.911076i | \(-0.635253\pi\) |
0.582896 | + | 0.812547i | \(0.301919\pi\) | |||||||
\(42\) | −7.22280 | + | 4.17009i | −1.11450 | + | 0.643458i | ||||
\(43\) | −5.57017 | − | 3.21594i | −0.849443 | − | 0.490426i | 0.0110196 | − | 0.999939i | \(-0.496492\pi\) |
−0.860463 | + | 0.509513i | \(0.829826\pi\) | |||||||
\(44\) | 0.937221i | 0.141291i | ||||||||
\(45\) | −4.35721 | + | 15.1489i | −0.649534 | + | 2.25826i | ||||
\(46\) | 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 | ||||
\(50\) | 6.51989 | + | 4.08884i | 0.922051 | + | 0.578249i | ||||
\(51\) | −2.92162 | −0.409109 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 8.49693i | − | 1.16714i | −0.812062 | − | 0.583571i | \(-0.801655\pi\) | ||
0.812062 | − | 0.583571i | \(-0.198345\pi\) | |||||||
\(54\) | −17.1116 | + | 9.87936i | −2.32859 | + | 1.34441i | ||||
\(55\) | −4.08747 | + | 3.94081i | −0.551155 | + | 0.531378i | ||||
\(56\) | 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 | 0.742017 | − | 0.670381i | \(-0.233869\pi\) |
−0.209558 | + | 0.977796i | \(0.567203\pi\) | |||||||
\(60\) | 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 | 0.999912 | − | 0.0132804i | \(-0.00422740\pi\) |
0.488455 | + | 0.872589i | \(0.337561\pi\) | |||||||
\(72\) | 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 | ||||
\(75\) | −8.42131 | + | 13.4282i | −0.972409 | + | 1.55056i | ||||
\(76\) | 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 | \(0.508899\pi\) | |||||||
\(80\) | −7.14223 | − | 7.40804i | −0.798526 | − | 0.828245i | ||||
\(81\) | −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 | ||||
\(85\) | −1.98052 | − | 0.569647i | −0.214817 | − | 0.0617869i | ||||
\(86\) | − | 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 | 0.222777 | − | 0.974870i | \(-0.428488\pi\) |
0.955650 | + | 0.294504i | \(0.0951546\pi\) | |||||||
\(90\) | −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 | ||||
\(95\) | 1.15869 | + | 0.333268i | 0.118879 | + | 0.0341926i | ||||
\(96\) | − | 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 | ||||||
\(100\) | −0.0674077 | + | 1.84428i | −0.00674077 | + | 0.184428i | ||||
\(101\) | −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 | \(-0.832577\pi\) | ||
0.864836 | − | 0.502055i | \(-0.167423\pi\) | |||||||
\(104\) | 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 | −0.0327627 | − | 0.999463i | \(-0.510431\pi\) |
0.849179 | + | 0.528105i | \(0.177097\pi\) | |||||||
\(108\) | −4.10341 | − | 2.36910i | −0.394850 | − | 0.227967i | ||||
\(109\) | 16.8638i | 1.61526i | 0.589693 | + | 0.807628i | \(0.299249\pi\) | ||||
−0.589693 | + | 0.807628i | \(0.700751\pi\) | |||||||
\(110\) | −8.39870 | − | 2.41568i | −0.800785 | − | 0.230326i | ||||
\(111\) | −16.6080 | − | 9.58864i | −1.57636 | − | 0.910113i | ||||
\(112\) | 7.86603 | 0.743270 | ||||||||
\(113\) | −10.1834 | − | 5.87936i | −0.957969 | − | 0.553084i | −0.0624219 | − | 0.998050i | \(-0.519882\pi\) |
−0.895547 | + | 0.444966i | \(0.853216\pi\) | |||||||
\(114\) | 1.31545 | + | 2.27842i | 0.123203 | + | 0.213394i | ||||
\(115\) | −4.55547 | + | 4.39201i | −0.424800 | + | 0.409557i | ||||
\(116\) | 1.89269 | 0.175732 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.26898i | 0.669164i | ||||||||
\(119\) | 1.36426 | − | 0.787653i | 0.125061 | − | 0.0722040i | ||||
\(120\) | 12.8100 | − | 12.3504i | 1.16939 | − | 1.12743i | ||||
\(121\) | −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 | 0.391197 | − | 0.920307i | \(-0.372061\pi\) |
0.992608 | + | 0.121367i | \(0.0387279\pi\) | |||||||
\(128\) | 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 | \(0.257724\pi\) | |||||||
\(140\) | −0.979150 | − | 1.01559i | −0.0827532 | − | 0.0858331i | ||||
\(141\) | −15.6741 | + | 9.04945i | −1.32000 | + | 0.762101i | ||||
\(142\) | 22.2895i | 1.87049i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 32.4413 | 2.70344 | ||||||||
\(145\) | 7.95836 | + | 8.25455i | 0.660906 | + | 0.685503i | ||||
\(146\) | 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 | 0.142099 | − | 0.989852i | \(-0.454615\pi\) |
−0.786188 | + | 0.617988i | \(0.787948\pi\) | |||||||
\(150\) | −24.3805 | − | 0.891099i | −1.99066 | − | 0.0727579i | ||||
\(151\) | − | 3.27739i | − | 0.266711i | −0.991068 | − | 0.133355i | \(-0.957425\pi\) | ||
0.991068 | − | 0.133355i | \(-0.0425751\pi\) | |||||||
\(152\) | −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 | \(0.171190\pi\) | ||||
−0.858833 | + | 0.512256i | \(0.828810\pi\) | |||||||
\(158\) | −0.382433 | − | 0.662394i | −0.0304248 | − | 0.0526972i | ||||
\(159\) | 13.4680 | + | 23.3273i | 1.06808 | + | 1.84997i | ||||
\(160\) | 1.27499 | − | 4.43280i | 0.100797 | − | 0.350443i | ||||
\(161\) | − | 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 | ||||||||
\(165\) | 4.97530 | − | 17.2978i | 0.387327 | − | 1.34663i | ||||
\(166\) | 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 | 0.471294 | − | 0.881976i | \(-0.343787\pi\) |
−0.528167 | + | 0.849141i | \(0.677120\pi\) | |||||||
\(174\) | 25.0205i | 1.89680i | ||||||||
\(175\) | 0.312158 | − | 8.54067i | 0.0235970 | − | 0.645614i | ||||
\(176\) | 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 | \(-0.433872\pi\) | |||||||
\(180\) | −4.03824 | − | 4.18853i | −0.300993 | − | 0.312195i | ||||
\(181\) | −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 | ||||
\(185\) | −9.38871 | − | 9.73813i | −0.690272 | − | 0.715962i | ||||
\(186\) | 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 | ||||
\(205\) | −2.03118 | + | 1.95830i | −0.141864 | + | 0.136774i | ||||
\(206\) | 13.5838 | − | 7.84263i | 0.946431 | − | 0.546422i | ||||
\(207\) | − | 19.9493i | − | 1.38657i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.36910 | −0.0947028 | ||||||||
\(210\) | 13.4256 | − | 12.9439i | 0.926457 | − | 0.893214i | ||||
\(211\) | 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 | ||||
\(215\) | 13.8218 | + | 3.97549i | 0.942636 | + | 0.271126i | ||||
\(216\) | 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 | ||||
\(225\) | 1.28741 | − | 35.2237i | 0.0858276 | − | 2.34825i | ||||
\(226\) | − | 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 | \(0.0324322\pi\) | ||||
−0.994814 | + | 0.101712i | \(0.967568\pi\) | |||||||
\(230\) | −9.36031 | − | 2.69227i | −0.617201 | − | 0.177523i | ||||
\(231\) | 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 | \(0.212977\pi\) | ||||
−0.784389 | + | 0.620269i | \(0.787023\pi\) | |||||||
\(234\) | 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 | \(-0.931126\pi\) | ||
0.976682 | − | 0.214691i | \(-0.0688745\pi\) | |||||||
\(240\) | 31.3502 | + | 9.01712i | 2.02364 | + | 0.582053i | ||||
\(241\) | −8.20681 | − | 4.73820i | −0.528647 | − | 0.305215i | 0.211818 | − | 0.977309i | \(-0.432062\pi\) |
−0.740465 | + | 0.672094i | \(0.765395\pi\) | |||||||
\(242\) | −7.00719 | −0.450439 | ||||||||
\(243\) | 20.3104 | + | 11.7262i | 1.30291 | + | 0.752236i | ||||
\(244\) | −1.48554 | − | 2.57302i | −0.0951017 | − | 0.164721i | ||||
\(245\) | −6.32962 | − | 6.56519i | −0.404385 | − | 0.419435i | ||||
\(246\) | −6.15676 | −0.392540 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.20743i | 0.140172i | ||||||||
\(249\) | −23.6951 | + | 13.6803i | −1.50161 | + | 0.866957i | ||||
\(250\) | −16.3534 | − | 5.35769i | −1.03428 | − | 0.338850i | ||||
\(251\) | 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 | 0.167901 | − | 0.985804i | \(-0.446301\pi\) |
0.937682 | + | 0.347495i | \(0.112968\pi\) | |||||||
\(258\) | 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 | −0.723857 | − | 0.689950i | \(-0.757633\pi\) |
0.235585 | + | 0.971854i | \(0.424299\pi\) | |||||||
\(264\) | −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 | \(0.0537693\pi\) | |||||||
\(270\) | 31.8067 | − | 30.6654i | 1.93570 | − | 1.86624i | ||||
\(271\) | 18.3035 | − | 10.5675i | 1.11186 | − | 0.641930i | 0.172546 | − | 0.985001i | \(-0.444800\pi\) |
0.939309 | + | 0.343071i | \(0.111467\pi\) | |||||||
\(272\) | 4.24128i | 0.257165i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −21.2183 | −1.28185 | ||||||||
\(275\) | 6.74533 | − | 10.7558i | 0.406759 | − | 0.648600i | ||||
\(276\) | −1.65562 | − | 2.86762i | −0.0996567 | − | 0.172611i | ||||
\(277\) | −11.3262 | − | 6.53919i | −0.680526 | − | 0.392902i | 0.119527 | − | 0.992831i | \(-0.461862\pi\) |
−0.800053 | + | 0.599929i | \(0.795195\pi\) | |||||||
\(278\) | −10.2413 | −0.614231 | ||||||||
\(279\) | 5.36851 | + | 3.09951i | 0.321404 | + | 0.185563i | ||||
\(280\) | −2.65206 | + | 9.22053i | −0.158491 | + | 0.551032i | ||||
\(281\) | 0.680346i | 0.0405860i | 0.999794 | + | 0.0202930i | \(0.00645991\pi\) | ||||
−0.999794 | + | 0.0202930i | \(0.993540\pi\) | |||||||
\(282\) | −24.1254 | − | 13.9288i | −1.43665 | − | 0.829449i | ||||
\(283\) | −16.7105 | + | 9.64782i | −0.993337 | + | 0.573504i | −0.906270 | − | 0.422699i | \(-0.861083\pi\) |
−0.0870671 | + | 0.996202i | \(0.527749\pi\) | |||||||
\(284\) | −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 | ||||
\(290\) | −4.87841 | + | 16.9610i | −0.286470 | + | 0.995982i | ||||
\(291\) | 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 | ||||||
\(295\) | −10.1486 | − | 2.91901i | −0.590875 | − | 0.169951i | ||||
\(296\) | 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 | ||||||
\(305\) | 4.97530 | − | 17.2978i | 0.284885 | − | 0.990470i | ||||
\(306\) | 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 | ||||
\(310\) | 2.17881 | − | 2.10063i | 0.123748 | − | 0.119308i | ||||
\(311\) | −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 | \(0.401438\pi\) | ||||
−0.304718 | + | 0.952443i | \(0.598562\pi\) | |||||||
\(314\) | −17.1116 | + | 9.87936i | −0.965661 | + | 0.557525i | ||||
\(315\) | 18.7007 | + | 19.3967i | 1.05366 | + | 1.09288i | ||||
\(316\) | 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 | 0.870151 | − | 0.492785i | \(-0.164021\pi\) |
0.00831086 | + | 0.999965i | \(0.497355\pi\) | |||||||
\(332\) | −1.59284 | + | 2.75888i | −0.0874186 | + | 0.151413i | ||||
\(333\) | 42.6453 | 2.33695 | ||||||||
\(334\) | 6.71840 | − | 11.6366i | 0.367615 | − | 0.636727i | ||||
\(335\) | −12.2080 | − | 12.6624i | −0.666996 | − | 0.691820i | ||||
\(336\) | −21.5952 | + | 12.4680i | −1.17812 | + | 0.680185i | ||||
\(337\) | 15.8576i | 0.863820i | 0.901917 | + | 0.431910i | \(0.142160\pi\) | ||||
−0.901917 | + | 0.431910i | \(0.857840\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 37.2762 | 2.02456 | ||||||||
\(340\) | 0.547595 | − | 0.527947i | 0.0296975 | − | 0.0286319i | ||||
\(341\) | 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 | ||||
\(345\) | 5.54495 | − | 19.2783i | 0.298530 | − | 1.03791i | ||||
\(346\) | − | 1.32950i | − | 0.0714741i | ||||||
\(347\) | −8.42199 | − | 4.86244i | −0.452116 | − | 0.261029i | 0.256607 | − | 0.966516i | \(-0.417395\pi\) |
−0.708723 | + | 0.705486i | \(0.750729\pi\) | |||||||
\(348\) | −5.19615 | + | 3.00000i | −0.278543 | + | 0.160817i | ||||
\(349\) | −26.7683 | + | 15.4547i | −1.43287 | + | 0.827269i | −0.997339 | − | 0.0729030i | \(-0.976774\pi\) |
−0.435534 | + | 0.900172i | \(0.643440\pi\) | |||||||
\(350\) | 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 | ||||
\(355\) | −31.1196 | − | 8.95079i | −1.65166 | − | 0.475059i | ||||
\(356\) | 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 | \(0.0935573\pi\) | ||||
−0.957116 | + | 0.289705i | \(0.906443\pi\) | |||||||
\(360\) | −10.9377 | + | 38.0276i | −0.576469 | + | 2.00423i | ||||
\(361\) | −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 | −0.246839 | − | 0.969057i | \(-0.579392\pi\) |
0.715808 | + | 0.698297i | \(0.246058\pi\) | |||||||
\(368\) | 11.2784 | + | 6.51159i | 0.587927 | + | 0.339440i | ||||
\(369\) | − | 8.89496i | − | 0.463053i | ||||||
\(370\) | 5.75520 | − | 20.0093i | 0.299199 | − | 1.04024i | ||||
\(371\) | −12.5778 | − | 7.26180i | −0.653007 | − | 0.377014i | ||||
\(372\) | 1.02893 | 0.0533475 | ||||||||
\(373\) | 20.7740 | + | 11.9939i | 1.07564 | + | 0.621018i | 0.929716 | − | 0.368278i | \(-0.120053\pi\) |
0.145920 | + | 0.989296i | \(0.453386\pi\) | |||||||
\(374\) | 1.80098 | + | 3.11940i | 0.0931267 | + | 0.161300i | ||||
\(375\) | 11.0346 | − | 33.6811i | 0.569824 | − | 1.73929i | ||||
\(376\) | 14.3318 | 0.739104 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 33.7731i | 1.73710i | ||||||||
\(379\) | −25.7708 | + | 14.8788i | −1.32375 | + | 0.764270i | −0.984325 | − | 0.176362i | \(-0.943567\pi\) |
−0.339429 | + | 0.940632i | \(0.610234\pi\) | |||||||
\(380\) | −0.320367 | + | 0.308872i | −0.0164345 | + | 0.0158448i | ||||
\(381\) | −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 | ||||
\(400\) | 19.4936 | + | 12.2251i | 0.974680 | + | 0.611254i | ||||
\(401\) | 7.88520 | − | 4.55252i | 0.393768 | − | 0.227342i | −0.290024 | − | 0.957020i | \(-0.593663\pi\) |
0.683791 | + | 0.729678i | \(0.260330\pi\) | |||||||
\(402\) | − | 38.3812i | − | 1.91428i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 6.06770 | 0.301879 | ||||||||
\(405\) | 30.3359 | + | 31.4649i | 1.50740 | + | 1.56350i | ||||
\(406\) | −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 | 0.0228363 | − | 0.999739i | \(-0.492730\pi\) |
−0.854381 | + | 0.519646i | \(0.826064\pi\) | |||||||
\(410\) | −4.17355 | − | 1.20042i | −0.206117 | − | 0.0592846i | ||||
\(411\) | − | 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 | \(0.967756\pi\) | |||||||
\(420\) | 4.29789 | + | 1.23618i | 0.209716 | + | 0.0603196i | ||||
\(421\) | − | 19.0205i | − | 0.927003i | −0.886096 | − | 0.463502i | \(-0.846593\pi\) | ||
0.886096 | − | 0.463502i | \(-0.153407\pi\) | |||||||
\(422\) | −17.5103 | + | 30.3287i | −0.852386 | + | 1.47638i | ||||
\(423\) | 20.1236 | − | 34.8551i | 0.978444 | − | 1.69471i | ||||
\(424\) | − | 21.3295i | − | 1.03585i | ||||||
\(425\) | 4.60504 | + | 0.168312i | 0.223377 | + | 0.00816435i | ||||
\(426\) | −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 | −0.323075 | − | 0.946373i | \(-0.604717\pi\) |
0.658046 | + | 0.752978i | \(0.271383\pi\) | |||||||
\(432\) | −51.1613 | + | 29.5380i | −2.46150 | + | 1.42115i | ||||
\(433\) | −11.2992 | − | 6.52359i | −0.543004 | − | 0.313504i | 0.203291 | − | 0.979118i | \(-0.434836\pi\) |
−0.746296 | + | 0.665615i | \(0.768170\pi\) | |||||||
\(434\) | 2.31351i | 0.111052i | ||||||||
\(435\) | −34.9325 | − | 10.0475i | −1.67488 | − | 0.481740i | ||||
\(436\) | −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 | \(0.774503\pi\) | |||||||
\(440\) | −10.2606 | + | 9.89245i | −0.489156 | + | 0.471604i | ||||
\(441\) | 28.7503 | 1.36906 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 6.39084i | − | 0.303638i | −0.988408 | − | 0.151819i | \(-0.951487\pi\) | ||
0.988408 | − | 0.151819i | \(-0.0485131\pi\) | |||||||
\(444\) | 6.13005 | − | 3.53919i | 0.290920 | − | 0.167962i | ||||
\(445\) | −20.6646 | + | 19.9231i | −0.979596 | + | 0.944446i | ||||
\(446\) | 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 | −0.313130 | − | 0.949710i | \(-0.601378\pi\) |
−0.979038 | + | 0.203676i | \(0.934711\pi\) | |||||||
\(450\) | 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 | 0.770690 | − | 0.637210i | \(-0.219912\pi\) |
−0.166495 | + | 0.986042i | \(0.553245\pi\) | |||||||
\(462\) | −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 | ||||
\(465\) | 4.32642 | + | 4.48744i | 0.200633 | + | 0.208100i | ||||
\(466\) | −25.2412 | + | 14.5730i | −1.16928 | + | 0.675083i | ||||
\(467\) | 1.87709i | 0.0868616i | 0.999056 | + | 0.0434308i | \(0.0138288\pi\) | ||||
−0.999056 | + | 0.0434308i | \(0.986171\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4452 | 0.620842 | ||||||||
\(470\) | −13.6384 | − | 14.1460i | −0.629092 | − | 0.652505i | ||||
\(471\) | −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 | ||||
\(475\) | −2.69415 | − | 0.0984700i | −0.123616 | − | 0.00451811i | ||||
\(476\) | 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 | −0.778017 | − | 0.628243i | \(-0.783774\pi\) |
0.155066 | + | 0.987904i | \(0.450441\pi\) | |||||||
\(480\) | 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 | ||||
\(485\) | −3.65631 | + | 12.7120i | −0.166024 | + | 0.577224i | ||||
\(486\) | 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 | ||||||||
\(490\) | 3.88001 | − | 13.4898i | 0.175281 | − | 0.609406i | ||||
\(491\) | 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 | \(-0.988093\pi\) | ||
0.999300 | − | 0.0373997i | \(-0.0119075\pi\) | |||||||
\(500\) | −0.848135 | − | 4.03859i | −0.0379297 | − | 0.180611i | ||||
\(501\) | 23.9666 | + | 13.8371i | 1.07075 | + | 0.618196i | ||||
\(502\) | 45.3439 | 2.02380 | ||||||||
\(503\) | −7.86833 | − | 4.54278i | −0.350832 | − | 0.202553i | 0.314220 | − | 0.949350i | \(-0.398257\pi\) |
−0.665051 | + | 0.746798i | \(0.731590\pi\) | |||||||
\(504\) | −15.1236 | − | 26.1949i | −0.673660 | − | 1.16681i | ||||
\(505\) | 25.5133 | + | 26.4629i | 1.13533 | + | 1.17758i | ||||
\(506\) | 11.0601 | 0.491683 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.64650i | 0.294891i | ||||||||
\(509\) | 16.9257 | − | 9.77205i | 0.750218 | − | 0.433139i | −0.0755545 | − | 0.997142i | \(-0.524073\pi\) |
0.825773 | + | 0.564003i | \(0.190739\pi\) | |||||||
\(510\) | 6.97921 | + | 7.23896i | 0.309045 | + | 0.320546i | ||||
\(511\) | 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 | 0.391295 | − | 0.920265i | \(-0.372027\pi\) |
0.992621 | + | 0.121261i | \(0.0386939\pi\) | |||||||
\(524\) | −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 | ||||
\(530\) | −21.0530 | + | 20.2976i | −0.914484 | + | 0.881670i | ||||
\(531\) | 28.8315 | − | 16.6459i | 1.25118 | − | 0.722370i | ||||
\(532\) | − | 0.340173i | − | 0.0147484i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −62.6369 | −2.71056 | ||||||||
\(535\) | −15.6976 | + | 15.1343i | −0.678666 | + | 0.654314i | ||||
\(536\) | 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 | ||||
\(540\) | 10.1821 | + | 2.92865i | 0.438169 | + | 0.126029i | ||||
\(541\) | − | 20.3402i | − | 0.874492i | −0.899342 | − | 0.437246i | \(-0.855954\pi\) | ||
0.899342 | − | 0.437246i | \(-0.144046\pi\) | |||||||
\(542\) | 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 | \(0.0797334\pi\) | ||||
−0.968791 | + | 0.247879i | \(0.920267\pi\) | |||||||
\(548\) | −2.54411 | − | 4.40653i | −0.108679 | − | 0.188237i | ||||
\(549\) | 28.3721 | + | 49.1419i | 1.21089 | + | 2.09732i | ||||
\(550\) | 19.5284 | + | 0.713756i | 0.832694 | + | 0.0304347i | ||||
\(551\) | 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 | ||||||
\(555\) | 41.2109 | + | 11.8533i | 1.74931 | + | 0.503145i | ||||
\(556\) | −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 | 0.675228 | − | 0.737609i | \(-0.264045\pi\) |
−0.301174 | + | 0.953569i | \(0.597378\pi\) | |||||||
\(564\) | − | 6.68035i | − | 0.281293i | ||||||
\(565\) | 25.2688 | + | 7.26797i | 1.06307 | + | 0.305766i | ||||
\(566\) | −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 | \(0.773972\pi\) | |||||||
\(570\) | −4.08314 | − | 4.23510i | −0.171024 | − | 0.177389i | ||||
\(571\) | −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 | ||||
\(575\) | 7.51764 | − | 11.9873i | 0.313507 | − | 0.499905i | ||||
\(576\) | 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 | ||||
\(595\) | −2.53586 | + | 2.44487i | −0.103960 | + | 0.100230i | ||||
\(596\) | 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 | \(0.738690\pi\) | |||||||
\(600\) | −21.1397 | + | 33.7084i | −0.863023 | + | 1.37614i | ||||
\(601\) | −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 | ||||
\(605\) | 2.81388 | − | 9.78311i | 0.114400 | − | 0.397740i | ||||
\(606\) | 80.2122i | 3.25840i | ||||||||
\(607\) | 12.2269 | + | 7.05919i | 0.496273 | + | 0.286523i | 0.727173 | − | 0.686454i | \(-0.240834\pi\) |
−0.230900 | + | 0.972977i | \(0.574167\pi\) | |||||||
\(608\) | 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 | ||||
\(615\) | 2.47237 | − | 8.59578i | 0.0996955 | − | 0.346615i | ||||
\(616\) | − | 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 | \(0.364496\pi\) | ||||
−0.412956 | + | 0.910751i | \(0.635504\pi\) | |||||||
\(620\) | 0.697493 | + | 0.200617i | 0.0280120 | + | 0.00805697i | ||||
\(621\) | 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 | ||||||||
\(630\) | −11.4634 | + | 39.8551i | −0.456711 | + | 1.58787i | ||||
\(631\) | 32.8116 | + | 18.9438i | 1.30621 | + | 0.754141i | 0.981461 | − | 0.191660i | \(-0.0613870\pi\) |
0.324749 | + | 0.945800i | \(0.394720\pi\) | |||||||
\(632\) | −1.24742 | −0.0496197 | ||||||||
\(633\) | −62.4644 | − | 36.0638i | −2.48274 | − | 1.43341i | ||||
\(634\) | 10.7363 | + | 18.5958i | 0.426392 | + | 0.738532i | ||||
\(635\) | −28.9872 | + | 27.9471i | −1.15032 | + | 1.10905i | ||||
\(636\) | −9.94214 | −0.394232 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 20.0410i | − | 0.793432i | ||||||
\(639\) | 88.4085 | − | 51.0427i | 3.49739 | − | 2.01922i | ||||
\(640\) | −20.8048 | − | 21.5791i | −0.822383 | − | 0.852990i | ||||
\(641\) | −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 | −0.716515 | − | 0.697572i | \(-0.754264\pi\) |
0.245857 | + | 0.969306i | \(0.420931\pi\) | |||||||
\(648\) | −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 | −0.998659 | − | 0.0517764i | \(-0.983512\pi\) |
−0.454490 | + | 0.890752i | \(0.650178\pi\) | |||||||
\(654\) | 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 | \(0.316254\pi\) | |||||||
\(660\) | 4.61109 | + | 4.78270i | 0.179486 | + | 0.186166i | ||||
\(661\) | −23.4399 | + | 13.5330i | −0.911707 | + | 0.526374i | −0.880980 | − | 0.473153i | \(-0.843116\pi\) |
−0.0307272 | + | 0.999528i | \(0.509782\pi\) | |||||||
\(662\) | 28.4052i | 1.10400i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.6658 | 0.840796 | ||||||||
\(665\) | 1.48359 | − | 1.43035i | 0.0575310 | − | 0.0554667i | ||||
\(666\) | 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 | ||||
\(670\) | 7.48343 | − | 26.0179i | 0.289110 | − | 1.00516i | ||||
\(671\) | 20.4391i | 0.789042i | ||||||||
\(672\) | −9.67980 | − | 5.58864i | −0.373407 | − | 0.215586i | ||||
\(673\) | −14.0046 | + | 8.08557i | −0.539838 | + | 0.311676i | −0.745013 | − | 0.667050i | \(-0.767557\pi\) |
0.205175 | + | 0.978725i | \(0.434224\pi\) | |||||||
\(674\) | −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 | \(-0.689134\pi\) | ||
0.559831 | − | 0.828607i | \(-0.310866\pi\) | |||||||
\(678\) | 28.6875 | + | 49.6883i | 1.10174 | + | 1.90827i | ||||
\(679\) | −5.05559 | − | 8.75654i | −0.194016 | − | 0.336045i | ||||
\(680\) | −4.97161 | − | 1.42996i | −0.190652 | − | 0.0548366i | ||||
\(681\) | − | 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 | ||||||
\(685\) | 8.52064 | − | 29.6240i | 0.325557 | − | 1.13188i | ||||
\(686\) | 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 | −0.850297 | − | 0.526303i | \(-0.823578\pi\) |
0.0306428 | + | 0.999530i | \(0.490245\pi\) | |||||||
\(692\) | 0.276104 | − | 0.159409i | 0.0104959 | − | 0.00605980i | ||||
\(693\) | −26.4968 | − | 15.2979i | −1.00653 | − | 0.581120i | ||||
\(694\) | − | 14.9684i | − | 0.568193i | ||||||
\(695\) | 4.11259 | − | 14.2984i | 0.155999 | − | 0.542369i | ||||
\(696\) | 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 | ||||
\(700\) | 2.67243 | + | 1.67597i | 0.101009 | + | 0.0633458i | ||||
\(701\) | −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 | ||||
\(705\) | 29.1348 | − | 28.0894i | 1.09728 | − | 1.05791i | ||||
\(706\) | 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 | 0.464073 | − | 0.885797i | \(-0.346388\pi\) |
−0.535087 | + | 0.844797i | \(0.679721\pi\) | |||||||
\(710\) | −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 | ||||
\(725\) | −21.7211 | − | 13.6220i | −0.806701 | − | 0.505909i | ||||
\(726\) | 19.2374 | − | 11.1067i | 0.713965 | − | 0.412208i | ||||
\(727\) | − | 3.52464i | − | 0.130721i | −0.997862 | − | 0.0653607i | \(-0.979180\pi\) | ||
0.997862 | − | 0.0653607i | \(-0.0208198\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −15.7070 | −0.581741 | ||||||||
\(730\) | −4.65950 | − | 4.83292i | −0.172456 | − | 0.178874i | ||||
\(731\) | −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 | ||||
\(735\) | 27.7833 | + | 7.99119i | 1.02480 | + | 0.294760i | ||||
\(736\) | 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 | \(-0.289774\pi\) |
0.990651 | − | 0.136419i | \(-0.0435593\pi\) | |||||||
\(740\) | 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 | ||||
\(745\) | 19.5089 | + | 5.61127i | 0.714752 | + | 0.205581i | ||||
\(746\) | 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 | ||||||
\(750\) | 53.3883 | − | 11.2119i | 1.94947 | − | 0.409402i | ||||
\(751\) | −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 | −0.369028 | − | 0.929418i | \(-0.620309\pi\) |
0.620386 | + | 0.784297i | \(0.286976\pi\) | |||||||
\(758\) | −39.6661 | − | 22.9012i | −1.44074 | − | 0.831809i | ||||
\(759\) | 22.7792i | 0.826834i | ||||||||
\(760\) | 2.90860 | + | 0.836590i | 0.105506 | + | 0.0303463i | ||||
\(761\) | −42.3798 | − | 24.4680i | −1.53627 | − | 0.886964i | −0.999053 | − | 0.0435187i | \(-0.986143\pi\) |
−0.537215 | − | 0.843446i | \(-0.680523\pi\) | |||||||
\(762\) | −87.8636 | −3.18296 | ||||||||
\(763\) | 24.9630 | + | 14.4124i | 0.903722 | + | 0.521764i | ||||
\(764\) | −0.272473 | − | 0.471937i | −0.00985773 | − | 0.0170741i | ||||
\(765\) | −10.4585 | + | 10.0832i | −0.378127 | + | 0.364559i | ||||
\(766\) | −19.1110 | −0.690509 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 27.1845i | − | 0.980935i | ||||||
\(769\) | 6.92428 | − | 3.99773i | 0.249696 | − | 0.144162i | −0.369929 | − | 0.929060i | \(-0.620618\pi\) |
0.619625 | + | 0.784898i | \(0.287285\pi\) | |||||||
\(770\) | −10.7537 | + | 10.3679i | −0.387537 | + | 0.373632i | ||||
\(771\) | −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 | ||||
\(790\) | 1.18707 | + | 1.23125i | 0.0422340 | + | 0.0438059i | ||||
\(791\) | −17.4062 | + | 10.0494i | −0.618892 | + | 0.357317i | ||||
\(792\) | − | 44.9333i | − | 1.59664i | ||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 5.99159 | 0.212634 | ||||||||
\(795\) | −41.8045 | − | 43.3604i | −1.48265 | − | 1.53783i | ||||
\(796\) | 0.995079 | + | 1.72353i | 0.0352697 | + | 0.0610888i | ||||
\(797\) | −13.8063 | − | 7.97107i | −0.489044 | − | 0.282350i | 0.235134 | − | 0.971963i | \(-0.424447\pi\) |
−0.724178 | + | 0.689613i | \(0.757781\pi\) | |||||||
\(798\) | 4.49693 | 0.159190 | ||||||||
\(799\) | 4.55685 | + | 2.63090i | 0.161210 | + | 0.0930745i | ||||
\(800\) | −0.376717 | + | 10.3070i | −0.0133190 | + | 0.364408i | ||||
\(801\) | − | 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 | \(0.731300\pi\) | |||||||
\(810\) | −18.5956 | + | 64.6522i | −0.653384 | + | 2.27165i | ||||
\(811\) | 7.43415i | 0.261048i | 0.991445 | + | 0.130524i | \(0.0416660\pi\) | ||||
−0.991445 | + | 0.130524i | \(0.958334\pi\) | |||||||
\(812\) | 1.61757 | − | 2.80171i | 0.0567655 | − | 0.0983207i | ||||
\(813\) | −33.4999 | + | 58.0235i | −1.17489 | + | 2.03497i | ||||
\(814\) | 23.6430i | 0.828687i | ||||||||
\(815\) | −7.44767 | + | 25.8936i | −0.260880 | + | 0.907013i | ||||
\(816\) | −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 | −0.157479 | − | 0.987522i | \(-0.550337\pi\) |
0.776480 | + | 0.630142i | \(0.217003\pi\) | |||||||
\(822\) | 58.2522 | − | 33.6319i | 2.03178 | − | 1.17305i | ||||
\(823\) | −3.24893 | − | 1.87577i | −0.113250 | − | 0.0653852i | 0.442305 | − | 0.896865i | \(-0.354161\pi\) |
−0.555555 | + | 0.831480i | \(0.687494\pi\) | |||||||
\(824\) | − | 25.5811i | − | 0.891159i | ||||||
\(825\) | −1.47004 | + | 40.2204i | −0.0511802 | + | 1.40029i | ||||
\(826\) | 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 | \(-0.385627\pi\) | |||||||
\(830\) | −20.6176 | − | 21.3849i | −0.715647 | − | 0.742282i | ||||
\(831\) | 41.4596 | 1.43822 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.75872i | 0.130232i | ||||||||
\(834\) | 28.1161 | − | 16.2329i | 0.973583 | − | 0.562098i | ||||
\(835\) | 13.5486 | + | 14.0528i | 0.468868 | + | 0.486318i | ||||
\(836\) | 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 | −0.363721 | − | 0.931508i | \(-0.618494\pi\) |
−0.988570 | + | 0.150762i | \(0.951827\pi\) | |||||||
\(840\) | −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 | ||||
\(855\) | 6.11866 | − | 5.89911i | 0.209254 | − | 0.201745i | ||||
\(856\) | 21.1993 | − | 12.2394i | 0.724578 | − | 0.418336i | ||||
\(857\) | 10.8371i | 0.370188i | 0.982721 | + | 0.185094i | \(0.0592590\pi\) | ||||
−0.982721 | + | 0.185094i | \(0.940741\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.6081 | −0.498422 | −0.249211 | − | 0.968449i | \(-0.580171\pi\) | ||||
−0.249211 | + | 0.968449i | \(0.580171\pi\) | |||||||
\(860\) | −3.82160 | + | 3.68447i | −0.130315 | + | 0.125639i | ||||
\(861\) | 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 | ||||
\(865\) | 1.85618 | + | 0.533885i | 0.0631120 | + | 0.0181526i | ||||
\(866\) | − | 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 | ||||
\(875\) | 3.92763 | + | 18.7023i | 0.132778 | + | 0.632254i | ||||
\(876\) | − | 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 | ||||||
\(880\) | −25.1110 | − | 7.22257i | −0.846491 | − | 0.243473i | ||||
\(881\) | 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 | \(0.00171767\pi\) | ||||
−0.999985 | + | 0.00539619i | \(0.998282\pi\) | |||||||
\(884\) | 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 | −0.551728 | − | 0.834024i | \(-0.686031\pi\) |
0.446422 | + | 0.894822i | \(0.352698\pi\) | |||||||
\(888\) | −41.6904 | − | 24.0700i | −1.39904 | − | 0.807735i | ||||
\(889\) | − | 30.7792i | − | 1.03230i | ||||||
\(890\) | −42.4604 | − | 12.2127i | −1.42328 | − | 0.409371i | ||||
\(891\) | −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 | ||||
\(895\) | 30.9087 | + | 32.0591i | 1.03316 | + | 1.07162i | ||||
\(896\) | 22.9132 | 0.765477 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 48.6635i | − | 1.62392i | ||||||
\(899\) | 3.90509 | − | 2.25461i | 0.130242 | − | 0.0751954i | ||||
\(900\) | 11.0217 | + | 6.91210i | 0.367391 | + | 0.230403i | ||||
\(901\) | 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 | −0.334495 | − | 0.942398i | \(-0.608566\pi\) |
0.648893 | + | 0.760880i | \(0.275232\pi\) | |||||||
\(908\) | −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 | \(-0.0207700\pi\) | |||||||
\(920\) | −11.4354 | + | 11.0251i | −0.377014 | + | 0.363486i | ||||
\(921\) | 0.724951 | − | 0.418551i | 0.0238880 | − | 0.0137917i | ||||
\(922\) | 23.0563i | 0.759317i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −5.07838 | −0.167066 | ||||||||
\(925\) | 25.6250 | + | 16.0703i | 0.842545 | + | 0.528388i | ||||
\(926\) | −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 | −0.261049 | − | 0.965326i | \(-0.584068\pi\) |
−0.966521 | + | 0.256588i | \(0.917402\pi\) | |||||||
\(930\) | −2.65206 | + | 9.22053i | −0.0869646 | + | 0.302353i | ||||
\(931\) | − | 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 | \(0.148655\pi\) | ||||
−0.892916 | + | 0.450222i | \(0.851345\pi\) | |||||||
\(938\) | 10.3474 | + | 17.9222i | 0.337853 | + | 0.585179i | ||||
\(939\) | −53.4173 | − | 92.5215i | −1.74321 | − | 3.01933i | ||||
\(940\) | 1.30251 | − | 4.52849i | 0.0424832 | − | 0.147703i | ||||
\(941\) | 58.1666i | 1.89618i | 0.318007 | + | 0.948088i | \(0.396987\pi\) | ||||
−0.318007 | + | 0.948088i | \(0.603013\pi\) | |||||||
\(942\) | 31.3184 | − | 54.2451i | 1.02041 | − | 1.76740i | ||||
\(943\) | 1.78539 | − | 3.09238i | 0.0581402 | − | 0.100702i | ||||
\(944\) | 21.7333i | 0.707358i | ||||||||
\(945\) | −47.1524 | − | 13.5623i | −1.53387 | − | 0.441180i | ||||
\(946\) | −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 | 0.787001 | − | 0.616952i | \(-0.211633\pi\) |
−0.140796 | + | 0.990039i | \(0.544966\pi\) | |||||||
\(954\) | − | 92.1953i | − | 2.98493i | ||||||
\(955\) | 0.912557 | − | 3.17272i | 0.0295296 | − | 0.102667i | ||||
\(956\) | 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 | ||||
\(960\) | 30.7660 | − | 29.6621i | 0.992969 | − | 0.957339i | ||||
\(961\) | 30.2267 | 0.975056 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 68.7429i | − | 2.21521i | ||||||
\(964\) | 3.02915 | − | 1.74888i | 0.0975625 | − | 0.0563277i | ||||
\(965\) | 27.5201 | + | 28.5443i | 0.885902 | + | 0.918873i | ||||
\(966\) | −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 | ||||
\(985\) | −3.10399 | − | 3.21951i | −0.0989013 | − | 0.102582i | ||||
\(986\) | 6.29954 | − | 3.63704i | 0.200618 | − | 0.115827i | ||||
\(987\) | 30.9360i | 0.984704i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.2017 | −0.578779 | ||||||||
\(990\) | −44.3509 | + | 42.7595i | −1.40956 | + | 1.35898i | ||||
\(991\) | −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 | ||||
\(995\) | −3.33268 | + | 11.5869i | −0.105653 | + | 0.367328i | ||||
\(996\) | − | 10.0989i | − | 0.319996i | ||||||
\(997\) | −39.6282 | − | 22.8794i | −1.25504 | − | 0.724597i | −0.282933 | − | 0.959140i | \(-0.591307\pi\) |
−0.972106 | + | 0.234543i | \(0.924641\pi\) | |||||||
\(998\) | 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 \(a_p\))