Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 83.18 | ||
Character | \(\chi\) | \(=\) | 288.83 |
Dual form | 288.2.bf.a.59.18 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.447661 | + | 1.34149i | −0.316544 | + | 0.948578i | ||||
\(3\) | −0.897422 | + | 1.48143i | −0.518127 | + | 0.855304i | ||||
\(4\) | −1.59920 | − | 1.20107i | −0.799600 | − | 0.600533i | ||||
\(5\) | 1.68794 | − | 2.19977i | 0.754870 | − | 0.983765i | −0.245029 | − | 0.969516i | \(-0.578797\pi\) |
0.999898 | − | 0.0142494i | \(-0.00453588\pi\) | |||||||
\(6\) | −1.58558 | − | 1.86706i | −0.647312 | − | 0.762225i | ||||
\(7\) | 3.57293 | − | 0.957363i | 1.35044 | − | 0.361849i | 0.490143 | − | 0.871642i | \(-0.336945\pi\) |
0.860297 | + | 0.509793i | \(0.170278\pi\) | |||||||
\(8\) | 2.32712 | − | 1.60764i | 0.822761 | − | 0.568388i | ||||
\(9\) | −1.38927 | − | 2.65894i | −0.463089 | − | 0.886312i | ||||
\(10\) | 2.19534 | + | 3.24911i | 0.694228 | + | 1.02746i | ||||
\(11\) | 2.76923 | + | 0.364576i | 0.834954 | + | 0.109924i | 0.535867 | − | 0.844302i | \(-0.319985\pi\) |
0.299087 | + | 0.954226i | \(0.403318\pi\) | |||||||
\(12\) | 3.21445 | − | 1.29124i | 0.927932 | − | 0.372748i | ||||
\(13\) | −0.0949795 | − | 0.721441i | −0.0263426 | − | 0.200092i | 0.973213 | − | 0.229906i | \(-0.0738418\pi\) |
−0.999555 | + | 0.0298141i | \(0.990508\pi\) | |||||||
\(14\) | −0.315165 | + | 5.22163i | −0.0842313 | + | 1.39554i | ||||
\(15\) | 1.74400 | + | 4.47468i | 0.450300 | + | 1.15536i | ||||
\(16\) | 1.11488 | + | 3.84149i | 0.278720 | + | 0.960372i | ||||
\(17\) | −4.88192 | −1.18404 | −0.592020 | − | 0.805923i | \(-0.701669\pi\) | ||||
−0.592020 | + | 0.805923i | \(0.701669\pi\) | |||||||
\(18\) | 4.18886 | − | 0.673388i | 0.987324 | − | 0.158719i | ||||
\(19\) | 3.20076 | − | 7.72731i | 0.734304 | − | 1.77277i | 0.106616 | − | 0.994300i | \(-0.465998\pi\) |
0.627688 | − | 0.778465i | \(-0.284002\pi\) | |||||||
\(20\) | −5.34142 | + | 1.49054i | −1.19438 | + | 0.333294i | ||||
\(21\) | −1.78816 | + | 6.15220i | −0.390208 | + | 1.34252i | ||||
\(22\) | −1.72875 | + | 3.55169i | −0.368571 | + | 0.757223i | ||||
\(23\) | −2.38745 | + | 8.91007i | −0.497817 | + | 1.85788i | 0.0158258 | + | 0.999875i | \(0.494962\pi\) |
−0.513643 | + | 0.858004i | \(0.671704\pi\) | |||||||
\(24\) | 0.293201 | + | 4.89020i | 0.0598494 | + | 0.998207i | ||||
\(25\) | −0.695734 | − | 2.59651i | −0.139147 | − | 0.519303i | ||||
\(26\) | 1.01033 | + | 0.195546i | 0.198141 | + | 0.0383498i | ||||
\(27\) | 5.18578 | + | 0.328089i | 0.998005 | + | 0.0631408i | ||||
\(28\) | −6.86368 | − | 2.76031i | −1.29711 | − | 0.521649i | ||||
\(29\) | −0.969012 | + | 0.743549i | −0.179941 | + | 0.138074i | −0.694805 | − | 0.719198i | \(-0.744509\pi\) |
0.514864 | + | 0.857272i | \(0.327843\pi\) | |||||||
\(30\) | −6.78347 | + | 0.336426i | −1.23849 | + | 0.0614227i | ||||
\(31\) | 2.36525 | − | 1.36558i | 0.424811 | − | 0.245265i | −0.272323 | − | 0.962206i | \(-0.587792\pi\) |
0.697133 | + | 0.716941i | \(0.254458\pi\) | |||||||
\(32\) | −5.65241 | − | 0.224081i | −0.999215 | − | 0.0396124i | ||||
\(33\) | −3.02526 | + | 3.77524i | −0.526631 | + | 0.657185i | ||||
\(34\) | 2.18545 | − | 6.54906i | 0.374801 | − | 1.12315i | ||||
\(35\) | 3.92491 | − | 9.47558i | 0.663431 | − | 1.60166i | ||||
\(36\) | −0.971844 | + | 5.92077i | −0.161974 | + | 0.986795i | ||||
\(37\) | 4.41073 | − | 1.82698i | 0.725119 | − | 0.300354i | 0.0105747 | − | 0.999944i | \(-0.496634\pi\) |
0.714545 | + | 0.699590i | \(0.246634\pi\) | |||||||
\(38\) | 8.93326 | + | 7.75300i | 1.44917 | + | 1.25770i | ||||
\(39\) | 1.15400 | + | 0.506732i | 0.184788 | + | 0.0811420i | ||||
\(40\) | 0.391598 | − | 7.83272i | 0.0619171 | − | 1.23846i | ||||
\(41\) | 0.884682 | + | 0.237050i | 0.138164 | + | 0.0370210i | 0.327238 | − | 0.944942i | \(-0.393882\pi\) |
−0.189074 | + | 0.981963i | \(0.560549\pi\) | |||||||
\(42\) | −7.45264 | − | 5.15290i | −1.14997 | − | 0.795110i | ||||
\(43\) | −1.36547 | + | 10.3718i | −0.208232 | + | 1.58168i | 0.493827 | + | 0.869560i | \(0.335598\pi\) |
−0.702059 | + | 0.712119i | \(0.747736\pi\) | |||||||
\(44\) | −3.99067 | − | 3.90906i | −0.601616 | − | 0.589313i | ||||
\(45\) | −8.19403 | − | 1.43206i | −1.22149 | − | 0.213479i | ||||
\(46\) | −10.8840 | − | 7.19143i | −1.60476 | − | 1.06032i | ||||
\(47\) | −1.50468 | − | 0.868729i | −0.219481 | − | 0.126717i | 0.386229 | − | 0.922403i | \(-0.373777\pi\) |
−0.605710 | + | 0.795686i | \(0.707111\pi\) | |||||||
\(48\) | −6.69141 | − | 1.79582i | −0.965822 | − | 0.259205i | ||||
\(49\) | 5.78709 | − | 3.34118i | 0.826727 | − | 0.477311i | ||||
\(50\) | 3.79466 | + | 0.229036i | 0.536645 | + | 0.0323906i | ||||
\(51\) | 4.38115 | − | 7.23222i | 0.613483 | − | 1.01271i | ||||
\(52\) | −0.714607 | + | 1.26780i | −0.0990981 | + | 0.175813i | ||||
\(53\) | 4.81164 | − | 1.99305i | 0.660930 | − | 0.273766i | −0.0268999 | − | 0.999638i | \(-0.508564\pi\) |
0.687830 | + | 0.725872i | \(0.258564\pi\) | |||||||
\(54\) | −2.76160 | + | 6.80981i | −0.375806 | + | 0.926698i | ||||
\(55\) | 5.47627 | − | 5.47627i | 0.738421 | − | 0.738421i | ||||
\(56\) | 6.77553 | − | 7.97189i | 0.905418 | − | 1.06529i | ||||
\(57\) | 8.57503 | + | 11.6764i | 1.13579 | + | 1.54657i | ||||
\(58\) | −0.563676 | − | 1.63278i | −0.0740143 | − | 0.214394i | ||||
\(59\) | 3.40167 | + | 2.61019i | 0.442859 | + | 0.339818i | 0.805999 | − | 0.591917i | \(-0.201629\pi\) |
−0.363140 | + | 0.931735i | \(0.618295\pi\) | |||||||
\(60\) | 2.58538 | − | 9.25057i | 0.333771 | − | 1.19424i | ||||
\(61\) | −3.79052 | − | 4.93990i | −0.485326 | − | 0.632489i | 0.484935 | − | 0.874550i | \(-0.338843\pi\) |
−0.970261 | + | 0.242061i | \(0.922177\pi\) | |||||||
\(62\) | 0.773080 | + | 3.78427i | 0.0981813 | + | 0.480603i | ||||
\(63\) | −7.50931 | − | 8.17015i | −0.946085 | − | 1.02934i | ||||
\(64\) | 2.83097 | − | 7.48235i | 0.353871 | − | 0.935294i | ||||
\(65\) | −1.74732 | − | 1.00882i | −0.216728 | − | 0.125128i | ||||
\(66\) | −3.71016 | − | 5.74839i | −0.456689 | − | 0.707578i | ||||
\(67\) | −0.814488 | − | 6.18665i | −0.0995055 | − | 0.755820i | −0.966348 | − | 0.257238i | \(-0.917188\pi\) |
0.866843 | − | 0.498582i | \(-0.166146\pi\) | |||||||
\(68\) | 7.80717 | + | 5.86351i | 0.946758 | + | 0.711055i | ||||
\(69\) | −11.0571 | − | 11.5329i | −1.33112 | − | 1.38840i | ||||
\(70\) | 10.9544 | + | 9.50708i | 1.30930 | + | 1.13631i | ||||
\(71\) | −6.73879 | + | 6.73879i | −0.799747 | + | 0.799747i | −0.983055 | − | 0.183309i | \(-0.941319\pi\) |
0.183309 | + | 0.983055i | \(0.441319\pi\) | |||||||
\(72\) | −7.50761 | − | 3.95422i | −0.884780 | − | 0.466009i | ||||
\(73\) | 0.311054 | + | 0.311054i | 0.0364061 | + | 0.0364061i | 0.725075 | − | 0.688669i | \(-0.241805\pi\) |
−0.688669 | + | 0.725075i | \(0.741805\pi\) | |||||||
\(74\) | 0.476374 | + | 6.73483i | 0.0553773 | + | 0.782908i | ||||
\(75\) | 4.47092 | + | 1.29949i | 0.516257 | + | 0.150052i | ||||
\(76\) | −14.3997 | + | 8.51319i | −1.65175 | + | 0.976530i | ||||
\(77\) | 10.2433 | − | 1.34855i | 1.16733 | − | 0.153682i | ||||
\(78\) | −1.19638 | + | 1.32124i | −0.135463 | + | 0.149601i | ||||
\(79\) | −1.58640 | + | 2.74773i | −0.178484 | + | 0.309144i | −0.941362 | − | 0.337399i | \(-0.890453\pi\) |
0.762877 | + | 0.646543i | \(0.223786\pi\) | |||||||
\(80\) | 10.3322 | + | 4.03173i | 1.15518 | + | 0.450761i | ||||
\(81\) | −5.13988 | + | 7.38794i | −0.571098 | + | 0.820882i | ||||
\(82\) | −0.714038 | + | 1.08068i | −0.0788523 | + | 0.119341i | ||||
\(83\) | −6.50289 | + | 4.98984i | −0.713785 | + | 0.547706i | −0.900579 | − | 0.434693i | \(-0.856857\pi\) |
0.186794 | + | 0.982399i | \(0.440190\pi\) | |||||||
\(84\) | 10.2488 | − | 7.69090i | 1.11824 | − | 0.839146i | ||||
\(85\) | −8.24039 | + | 10.7391i | −0.893796 | + | 1.16482i | ||||
\(86\) | −13.3024 | − | 6.47479i | −1.43443 | − | 0.698195i | ||||
\(87\) | −0.231902 | − | 2.10280i | −0.0248625 | − | 0.225444i | ||||
\(88\) | 7.03044 | − | 3.60352i | 0.749447 | − | 0.384137i | ||||
\(89\) | −1.28293 | − | 1.28293i | −0.135991 | − | 0.135991i | 0.635835 | − | 0.771825i | \(-0.280656\pi\) |
−0.771825 | + | 0.635835i | \(0.780656\pi\) | |||||||
\(90\) | 5.58925 | − | 10.3511i | 0.589158 | − | 1.09111i | ||||
\(91\) | −1.03004 | − | 2.48673i | −0.107977 | − | 0.260680i | ||||
\(92\) | 14.5196 | − | 11.3815i | 1.51377 | − | 1.18660i | ||||
\(93\) | −0.0996213 | + | 4.72944i | −0.0103302 | + | 0.490420i | ||||
\(94\) | 1.83898 | − | 1.62962i | 0.189676 | − | 0.168083i | ||||
\(95\) | −11.5956 | − | 20.0841i | −1.18968 | − | 2.06059i | ||||
\(96\) | 5.40456 | − | 8.17256i | 0.551601 | − | 0.834108i | ||||
\(97\) | −2.19738 | + | 3.80597i | −0.223110 | + | 0.386438i | −0.955751 | − | 0.294178i | \(-0.904954\pi\) |
0.732641 | + | 0.680616i | \(0.238288\pi\) | |||||||
\(98\) | 1.89151 | + | 9.25905i | 0.191071 | + | 0.935305i | ||||
\(99\) | −2.87781 | − | 7.86970i | −0.289231 | − | 0.790934i | ||||
\(100\) | −2.00597 | + | 4.98797i | −0.200597 | + | 0.498797i | ||||
\(101\) | −8.67469 | − | 1.14205i | −0.863164 | − | 0.113638i | −0.314072 | − | 0.949399i | \(-0.601693\pi\) |
−0.549093 | + | 0.835762i | \(0.685027\pi\) | |||||||
\(102\) | 7.74070 | + | 9.11485i | 0.766444 | + | 0.902505i | ||||
\(103\) | −2.69438 | + | 10.0556i | −0.265485 | + | 0.990804i | 0.696468 | + | 0.717588i | \(0.254754\pi\) |
−0.961953 | + | 0.273216i | \(0.911913\pi\) | |||||||
\(104\) | −1.38085 | − | 1.52619i | −0.135403 | − | 0.149655i | ||||
\(105\) | 10.5151 | + | 14.3181i | 1.02617 | + | 1.39730i | ||||
\(106\) | 0.519674 | + | 7.34699i | 0.0504752 | + | 0.713602i | ||||
\(107\) | −4.65937 | − | 11.2487i | −0.450438 | − | 1.08745i | −0.972156 | − | 0.234336i | \(-0.924708\pi\) |
0.521717 | − | 0.853118i | \(-0.325292\pi\) | |||||||
\(108\) | −7.89905 | − | 6.75315i | −0.760086 | − | 0.649822i | ||||
\(109\) | −11.5309 | − | 4.77627i | −1.10446 | − | 0.457483i | −0.245435 | − | 0.969413i | \(-0.578931\pi\) |
−0.859027 | + | 0.511930i | \(0.828931\pi\) | |||||||
\(110\) | 4.89486 | + | 9.79789i | 0.466707 | + | 0.934192i | ||||
\(111\) | −1.25174 | + | 8.17376i | −0.118810 | + | 0.775819i | ||||
\(112\) | 7.66109 | + | 12.6580i | 0.723905 | + | 1.19607i | ||||
\(113\) | −3.16267 | − | 5.47791i | −0.297519 | − | 0.515319i | 0.678048 | − | 0.735017i | \(-0.262826\pi\) |
−0.975568 | + | 0.219699i | \(0.929493\pi\) | |||||||
\(114\) | −19.5024 | + | 6.27629i | −1.82657 | + | 0.587828i | ||||
\(115\) | 15.5702 | + | 20.2915i | 1.45193 | + | 1.89219i | ||||
\(116\) | 2.44270 | − | 0.0252360i | 0.226799 | − | 0.00234310i | ||||
\(117\) | −1.78631 | + | 1.25482i | −0.165145 | + | 0.116008i | ||||
\(118\) | −5.02434 | + | 3.39483i | −0.462528 | + | 0.312519i | ||||
\(119\) | −17.4428 | + | 4.67377i | −1.59898 | + | 0.428444i | ||||
\(120\) | 11.2522 | + | 7.60939i | 1.02718 | + | 0.694639i | ||||
\(121\) | −3.08947 | − | 0.827820i | −0.280860 | − | 0.0752563i | ||||
\(122\) | 8.32370 | − | 2.87355i | 0.753592 | − | 0.260159i | ||||
\(123\) | −1.14511 | + | 1.09786i | −0.103251 | + | 0.0989907i | ||||
\(124\) | −5.42265 | − | 0.656989i | −0.486968 | − | 0.0589994i | ||||
\(125\) | 5.92233 | + | 2.45311i | 0.529709 | + | 0.219413i | ||||
\(126\) | 14.3218 | − | 6.41623i | 1.27589 | − | 0.571603i | ||||
\(127\) | 8.04728i | 0.714081i | 0.934089 | + | 0.357040i | \(0.116214\pi\) | ||||
−0.934089 | + | 0.357040i | \(0.883786\pi\) | |||||||
\(128\) | 8.77020 | + | 7.14727i | 0.775184 | + | 0.631736i | ||||
\(129\) | −14.1396 | − | 11.3307i | −1.24492 | − | 0.997612i | ||||
\(130\) | 2.13552 | − | 1.89241i | 0.187298 | − | 0.165975i | ||||
\(131\) | 8.49485 | − | 1.11837i | 0.742198 | − | 0.0977123i | 0.250061 | − | 0.968230i | \(-0.419549\pi\) |
0.492137 | + | 0.870518i | \(0.336216\pi\) | |||||||
\(132\) | 9.37231 | − | 2.40382i | 0.815755 | − | 0.209226i | ||||
\(133\) | 4.03823 | − | 30.6734i | 0.350159 | − | 2.65972i | ||||
\(134\) | 8.66395 | + | 1.67689i | 0.748452 | + | 0.144861i | ||||
\(135\) | 9.47501 | − | 10.8537i | 0.815479 | − | 0.934139i | ||||
\(136\) | −11.3608 | + | 7.84839i | −0.974182 | + | 0.672994i | ||||
\(137\) | −0.336242 | − | 1.25487i | −0.0287271 | − | 0.107211i | 0.950074 | − | 0.312026i | \(-0.101008\pi\) |
−0.978801 | + | 0.204815i | \(0.934341\pi\) | |||||||
\(138\) | 20.4212 | − | 9.67016i | 1.73836 | − | 0.823179i | ||||
\(139\) | 14.7882 | + | 11.3473i | 1.25431 | + | 0.962469i | 0.999989 | − | 0.00464928i | \(-0.00147992\pi\) |
0.254325 | + | 0.967119i | \(0.418147\pi\) | |||||||
\(140\) | −17.6575 | + | 10.4393i | −1.49233 | + | 0.882278i | ||||
\(141\) | 2.63730 | − | 1.44946i | 0.222100 | − | 0.122067i | ||||
\(142\) | −6.02334 | − | 12.0567i | −0.505467 | − | 1.01178i | ||||
\(143\) | − | 2.03246i | − | 0.169963i | ||||||
\(144\) | 8.66541 | − | 8.30125i | 0.722117 | − | 0.691770i | ||||
\(145\) | 3.38667i | 0.281247i | ||||||||
\(146\) | −0.556523 | + | 0.278030i | −0.0460582 | + | 0.0230099i | ||||
\(147\) | −0.243745 | + | 11.5716i | −0.0201038 | + | 0.954411i | ||||
\(148\) | −9.24797 | − | 2.37587i | −0.760178 | − | 0.195295i | ||||
\(149\) | −2.26076 | − | 1.73474i | −0.185209 | − | 0.142116i | 0.511996 | − | 0.858988i | \(-0.328906\pi\) |
−0.697204 | + | 0.716872i | \(0.745573\pi\) | |||||||
\(150\) | −3.74471 | + | 5.41597i | −0.305754 | + | 0.442212i | ||||
\(151\) | 0.711717 | + | 2.65617i | 0.0579187 | + | 0.216156i | 0.988820 | − | 0.149116i | \(-0.0476428\pi\) |
−0.930901 | + | 0.365272i | \(0.880976\pi\) | |||||||
\(152\) | −4.97421 | − | 23.1280i | −0.403462 | − | 1.87593i | ||||
\(153\) | 6.78229 | + | 12.9807i | 0.548316 | + | 1.04943i | ||||
\(154\) | −2.77644 | + | 14.3450i | −0.223732 | + | 1.15595i | ||||
\(155\) | 0.988446 | − | 7.50800i | 0.0793939 | − | 0.603057i | ||||
\(156\) | −1.23686 | − | 2.19640i | −0.0990279 | − | 0.175852i | ||||
\(157\) | −9.88965 | + | 1.30200i | −0.789280 | + | 0.103911i | −0.514380 | − | 0.857562i | \(-0.671978\pi\) |
−0.274900 | + | 0.961473i | \(0.588645\pi\) | |||||||
\(158\) | −2.97589 | − | 3.35820i | −0.236749 | − | 0.267164i | ||||
\(159\) | −1.36552 | + | 8.91671i | −0.108293 | + | 0.707141i | ||||
\(160\) | −10.0339 | + | 12.0558i | −0.793246 | + | 0.953091i | ||||
\(161\) | 34.1207i | 2.68909i | ||||||||
\(162\) | −7.60994 | − | 10.2024i | −0.597893 | − | 0.801576i | ||||
\(163\) | 20.2425 | + | 8.38472i | 1.58551 | + | 0.656742i | 0.989275 | − | 0.146065i | \(-0.0466608\pi\) |
0.596240 | + | 0.802806i | \(0.296661\pi\) | |||||||
\(164\) | −1.13007 | − | 1.44165i | −0.0882437 | − | 0.112574i | ||||
\(165\) | 3.19818 | + | 13.0272i | 0.248978 | + | 1.01417i | ||||
\(166\) | −3.78274 | − | 10.9573i | −0.293598 | − | 0.850453i | ||||
\(167\) | 9.08552 | + | 2.43446i | 0.703059 | + | 0.188384i | 0.592600 | − | 0.805497i | \(-0.298101\pi\) |
0.110458 | + | 0.993881i | \(0.464768\pi\) | |||||||
\(168\) | 5.72928 | + | 17.1916i | 0.442024 | + | 1.32636i | ||||
\(169\) | 12.0456 | − | 3.22760i | 0.926583 | − | 0.248277i | ||||
\(170\) | −10.7175 | − | 15.8619i | −0.821994 | − | 1.21655i | ||||
\(171\) | −24.9931 | + | 2.22468i | −1.91127 | + | 0.170126i | ||||
\(172\) | 14.6408 | − | 14.9465i | 1.11635 | − | 1.13966i | ||||
\(173\) | 3.33965 | + | 4.35232i | 0.253909 | + | 0.330901i | 0.902864 | − | 0.429926i | \(-0.141460\pi\) |
−0.648955 | + | 0.760827i | \(0.724794\pi\) | |||||||
\(174\) | 2.92470 | + | 0.630246i | 0.221721 | + | 0.0477788i | ||||
\(175\) | −4.97161 | − | 8.61109i | −0.375819 | − | 0.650937i | ||||
\(176\) | 1.68684 | + | 11.0444i | 0.127151 | + | 0.832505i | ||||
\(177\) | −6.91954 | + | 2.69688i | −0.520105 | + | 0.202710i | ||||
\(178\) | 2.29536 | − | 1.14673i | 0.172045 | − | 0.0859508i | ||||
\(179\) | −18.6550 | − | 7.72714i | −1.39434 | − | 0.577554i | −0.446062 | − | 0.895002i | \(-0.647174\pi\) |
−0.948276 | + | 0.317448i | \(0.897174\pi\) | |||||||
\(180\) | 11.3839 | + | 12.1317i | 0.848505 | + | 0.904246i | ||||
\(181\) | −2.04940 | − | 4.94769i | −0.152331 | − | 0.367759i | 0.829231 | − | 0.558907i | \(-0.188779\pi\) |
−0.981561 | + | 0.191148i | \(0.938779\pi\) | |||||||
\(182\) | 3.79703 | − | 0.268575i | 0.281454 | − | 0.0199081i | ||||
\(183\) | 10.7198 | − | 1.18221i | 0.792431 | − | 0.0873914i | ||||
\(184\) | 8.76835 | + | 24.5730i | 0.646411 | + | 1.81154i | ||||
\(185\) | 3.42611 | − | 12.7864i | 0.251892 | − | 0.940076i | ||||
\(186\) | −6.29991 | − | 2.25083i | −0.461932 | − | 0.165039i | ||||
\(187\) | −13.5192 | − | 1.77983i | −0.988619 | − | 0.130154i | ||||
\(188\) | 1.36289 | + | 3.19649i | 0.0993988 | + | 0.233128i | ||||
\(189\) | 18.8425 | − | 3.79244i | 1.37059 | − | 0.275859i | ||||
\(190\) | 32.1336 | − | 6.56450i | 2.33122 | − | 0.476239i | ||||
\(191\) | −11.1492 | + | 19.3109i | −0.806726 | + | 1.39729i | 0.108393 | + | 0.994108i | \(0.465429\pi\) |
−0.915120 | + | 0.403183i | \(0.867904\pi\) | |||||||
\(192\) | 8.54401 | + | 10.9087i | 0.616611 | + | 0.787268i | ||||
\(193\) | 2.37607 | + | 4.11548i | 0.171034 | + | 0.296239i | 0.938781 | − | 0.344513i | \(-0.111956\pi\) |
−0.767748 | + | 0.640752i | \(0.778623\pi\) | |||||||
\(194\) | −4.12200 | − | 4.65155i | −0.295942 | − | 0.333962i | ||||
\(195\) | 3.06257 | − | 1.68320i | 0.219315 | − | 0.120536i | ||||
\(196\) | −13.2677 | − | 1.60747i | −0.947692 | − | 0.114819i | ||||
\(197\) | 4.97689 | + | 12.0153i | 0.354589 | + | 0.856053i | 0.996041 | + | 0.0888903i | \(0.0283321\pi\) |
−0.641453 | + | 0.767163i | \(0.721668\pi\) | |||||||
\(198\) | 11.8454 | − | 0.337607i | 0.841817 | − | 0.0239927i | ||||
\(199\) | −6.53127 | − | 6.53127i | −0.462989 | − | 0.462989i | 0.436645 | − | 0.899634i | \(-0.356167\pi\) |
−0.899634 | + | 0.436645i | \(0.856167\pi\) | |||||||
\(200\) | −5.79332 | − | 4.92391i | −0.409650 | − | 0.348173i | ||||
\(201\) | 9.89602 | + | 4.34543i | 0.698012 | + | 0.306503i | ||||
\(202\) | 5.41536 | − | 11.1258i | 0.381024 | − | 0.782807i | ||||
\(203\) | −2.75036 | + | 3.58434i | −0.193038 | + | 0.251572i | ||||
\(204\) | −15.6927 | + | 6.30372i | −1.09871 | + | 0.441349i | ||||
\(205\) | 2.01474 | − | 1.54597i | 0.140716 | − | 0.107975i | ||||
\(206\) | −12.2833 | − | 8.11597i | −0.855817 | − | 0.565466i | ||||
\(207\) | 27.0081 | − | 6.03039i | 1.87719 | − | 0.419141i | ||||
\(208\) | 2.66552 | − | 1.16918i | 0.184820 | − | 0.0810682i | ||||
\(209\) | 11.6808 | − | 20.2318i | 0.807979 | − | 1.39946i | ||||
\(210\) | −23.9148 | + | 7.69627i | −1.65028 | + | 0.531093i | ||||
\(211\) | −16.0305 | + | 2.11046i | −1.10359 | + | 0.145290i | −0.660236 | − | 0.751058i | \(-0.729544\pi\) |
−0.443351 | + | 0.896348i | \(0.646211\pi\) | |||||||
\(212\) | −10.0886 | − | 2.59182i | −0.692885 | − | 0.178007i | ||||
\(213\) | −3.93550 | − | 16.0306i | −0.269656 | − | 1.09840i | ||||
\(214\) | 17.1759 | − | 1.21490i | 1.17412 | − | 0.0830488i | ||||
\(215\) | 20.5106 | + | 20.5106i | 1.39881 | + | 1.39881i | ||||
\(216\) | 12.5954 | − | 7.57339i | 0.857008 | − | 0.515304i | ||||
\(217\) | 7.14350 | − | 7.14350i | 0.484932 | − | 0.484932i | ||||
\(218\) | 11.5693 | − | 13.3305i | 0.783569 | − | 0.902855i | ||||
\(219\) | −0.739951 | + | 0.181658i | −0.0500013 | + | 0.0122753i | ||||
\(220\) | −15.3350 | + | 2.18029i | −1.03389 | + | 0.146995i | ||||
\(221\) | 0.463682 | + | 3.52202i | 0.0311907 | + | 0.236917i | ||||
\(222\) | −10.4047 | − | 5.33827i | −0.698316 | − | 0.358281i | ||||
\(223\) | −11.5336 | − | 6.65891i | −0.772345 | − | 0.445913i | 0.0613657 | − | 0.998115i | \(-0.480454\pi\) |
−0.833710 | + | 0.552202i | \(0.813788\pi\) | |||||||
\(224\) | −20.4102 | + | 4.61079i | −1.36371 | + | 0.308071i | ||||
\(225\) | −5.93741 | + | 5.45716i | −0.395827 | + | 0.363811i | ||||
\(226\) | 8.76438 | − | 1.79046i | 0.582998 | − | 0.119099i | ||||
\(227\) | −11.2416 | − | 14.6504i | −0.746134 | − | 0.972381i | −0.999987 | − | 0.00513803i | \(-0.998365\pi\) |
0.253853 | − | 0.967243i | \(-0.418302\pi\) | |||||||
\(228\) | 0.310884 | − | 28.9720i | 0.0205888 | − | 1.91872i | ||||
\(229\) | −1.83921 | − | 1.41128i | −0.121539 | − | 0.0932600i | 0.546204 | − | 0.837652i | \(-0.316073\pi\) |
−0.667742 | + | 0.744393i | \(0.732739\pi\) | |||||||
\(230\) | −34.1910 | + | 11.8036i | −2.25449 | + | 0.778307i | ||||
\(231\) | −7.19477 | + | 16.3849i | −0.473381 | + | 1.07805i | ||||
\(232\) | −1.05964 | + | 3.28815i | −0.0695691 | + | 0.215878i | ||||
\(233\) | 14.0808 | − | 14.0808i | 0.922462 | − | 0.922462i | −0.0747408 | − | 0.997203i | \(-0.523813\pi\) |
0.997203 | + | 0.0747408i | \(0.0238130\pi\) | |||||||
\(234\) | −0.883665 | − | 2.95806i | −0.0577670 | − | 0.193374i | ||||
\(235\) | −4.45081 | + | 1.84359i | −0.290339 | + | 0.120262i | ||||
\(236\) | −2.30493 | − | 8.25984i | −0.150038 | − | 0.537670i | ||||
\(237\) | −2.64690 | − | 4.81602i | −0.171934 | − | 0.312834i | ||||
\(238\) | 1.53861 | − | 25.4916i | 0.0997332 | − | 1.65237i | ||||
\(239\) | −0.761068 | + | 0.439403i | −0.0492294 | + | 0.0284226i | −0.524413 | − | 0.851464i | \(-0.675715\pi\) |
0.475183 | + | 0.879887i | \(0.342382\pi\) | |||||||
\(240\) | −15.2451 | + | 11.6883i | −0.984066 | + | 0.754477i | ||||
\(241\) | −2.03782 | − | 1.17654i | −0.131268 | − | 0.0757873i | 0.432928 | − | 0.901428i | \(-0.357480\pi\) |
−0.564196 | + | 0.825641i | \(0.690814\pi\) | |||||||
\(242\) | 2.49355 | − | 3.77391i | 0.160291 | − | 0.242596i | ||||
\(243\) | −6.33207 | − | 14.2445i | −0.406202 | − | 0.913783i | ||||
\(244\) | 0.128650 | + | 12.4525i | 0.00823597 | + | 0.797193i | ||||
\(245\) | 2.41845 | − | 18.3700i | 0.154509 | − | 1.17361i | ||||
\(246\) | −0.960151 | − | 2.02762i | −0.0612170 | − | 0.129276i | ||||
\(247\) | −5.87880 | − | 1.57522i | −0.374059 | − | 0.100229i | ||||
\(248\) | 3.30885 | − | 6.98033i | 0.210112 | − | 0.443251i | ||||
\(249\) | −1.55626 | − | 14.1116i | −0.0986240 | − | 0.894284i | ||||
\(250\) | −5.94202 | + | 6.84659i | −0.375806 | + | 0.433016i | ||||
\(251\) | 5.35869 | − | 2.21964i | 0.338237 | − | 0.140103i | −0.207099 | − | 0.978320i | \(-0.566402\pi\) |
0.545336 | + | 0.838218i | \(0.316402\pi\) | |||||||
\(252\) | 2.19600 | + | 22.0849i | 0.138335 | + | 1.39122i | ||||
\(253\) | −9.85979 | + | 23.8036i | −0.619880 | + | 1.49652i | ||||
\(254\) | −10.7954 | − | 3.60245i | −0.677361 | − | 0.226038i | ||||
\(255\) | −8.51409 | − | 21.8451i | −0.533173 | − | 1.36799i | ||||
\(256\) | −13.5141 | + | 8.56560i | −0.844630 | + | 0.535350i | ||||
\(257\) | −0.643725 | + | 0.371655i | −0.0401544 | + | 0.0231832i | −0.519943 | − | 0.854201i | \(-0.674047\pi\) |
0.479788 | + | 0.877384i | \(0.340713\pi\) | |||||||
\(258\) | 21.5298 | − | 13.8959i | 1.34039 | − | 0.865120i | ||||
\(259\) | 14.0101 | − | 10.7504i | 0.870547 | − | 0.667994i | ||||
\(260\) | 1.58266 | + | 3.71194i | 0.0981524 | + | 0.230205i | ||||
\(261\) | 3.32327 | + | 1.54355i | 0.205705 | + | 0.0955436i | ||||
\(262\) | −2.30253 | + | 11.8964i | −0.142251 | + | 0.734963i | ||||
\(263\) | −3.15312 | − | 11.7676i | −0.194430 | − | 0.725621i | −0.992414 | − | 0.122943i | \(-0.960767\pi\) |
0.797984 | − | 0.602678i | \(-0.205900\pi\) | |||||||
\(264\) | −0.970908 | + | 13.6490i | −0.0597553 | + | 0.840036i | ||||
\(265\) | 3.73752 | − | 13.9486i | 0.229594 | − | 0.856858i | ||||
\(266\) | 39.3403 | + | 19.1485i | 2.41211 | + | 1.17407i | ||||
\(267\) | 3.05191 | − | 0.749242i | 0.186774 | − | 0.0458529i | ||||
\(268\) | −6.12805 | + | 10.8719i | −0.374330 | + | 0.664110i | ||||
\(269\) | −1.99968 | + | 4.82765i | −0.121922 | + | 0.294347i | −0.973043 | − | 0.230623i | \(-0.925924\pi\) |
0.851121 | + | 0.524970i | \(0.175924\pi\) | |||||||
\(270\) | 10.3186 | + | 17.5694i | 0.627969 | + | 1.06924i | ||||
\(271\) | −21.4273 | −1.30162 | −0.650808 | − | 0.759243i | \(-0.725570\pi\) | ||||
−0.650808 | + | 0.759243i | \(0.725570\pi\) | |||||||
\(272\) | −5.44276 | − | 18.7539i | −0.330016 | − | 1.13712i | ||||
\(273\) | 4.60828 | + | 0.705718i | 0.278906 | + | 0.0427120i | ||||
\(274\) | 1.83393 | + | 0.110691i | 0.110791 | + | 0.00668710i | ||||
\(275\) | −0.980020 | − | 7.44399i | −0.0590975 | − | 0.448890i | ||||
\(276\) | 3.83069 | + | 31.7238i | 0.230580 | + | 1.90955i | ||||
\(277\) | −16.1147 | − | 2.12153i | −0.968236 | − | 0.127471i | −0.370210 | − | 0.928948i | \(-0.620714\pi\) |
−0.598025 | + | 0.801477i | \(0.704048\pi\) | |||||||
\(278\) | −21.8424 | + | 14.7584i | −1.31002 | + | 0.885151i | ||||
\(279\) | −6.91693 | − | 4.39189i | −0.414106 | − | 0.262936i | ||||
\(280\) | −6.09961 | − | 28.3607i | −0.364521 | − | 1.69487i | ||||
\(281\) | 8.24786 | − | 2.21001i | 0.492026 | − | 0.131838i | −0.00427085 | − | 0.999991i | \(-0.501359\pi\) |
0.496297 | + | 0.868153i | \(0.334693\pi\) | |||||||
\(282\) | 0.763830 | + | 4.18678i | 0.0454854 | + | 0.249319i | ||||
\(283\) | 1.56707 | − | 2.04225i | 0.0931529 | − | 0.121399i | −0.744451 | − | 0.667677i | \(-0.767289\pi\) |
0.837604 | + | 0.546277i | \(0.183956\pi\) | |||||||
\(284\) | 18.8704 | − | 2.68294i | 1.11975 | − | 0.159203i | ||||
\(285\) | 40.1594 | + | 0.845919i | 2.37884 | + | 0.0501079i | ||||
\(286\) | 2.72653 | + | 0.909853i | 0.161223 | + | 0.0538008i | ||||
\(287\) | 3.38785 | 0.199978 | ||||||||
\(288\) | 7.25689 | + | 15.3407i | 0.427616 | + | 0.903960i | ||||
\(289\) | 6.83317 | 0.401951 | ||||||||
\(290\) | −4.54318 | − | 1.51608i | −0.266785 | − | 0.0890271i | ||||
\(291\) | −3.66630 | − | 6.67082i | −0.214922 | − | 0.391051i | ||||
\(292\) | −0.123841 | − | 0.871034i | −0.00724725 | − | 0.0509734i | ||||
\(293\) | 4.70192 | − | 6.12766i | 0.274689 | − | 0.357982i | −0.635554 | − | 0.772057i | \(-0.719228\pi\) |
0.910243 | + | 0.414075i | \(0.135895\pi\) | |||||||
\(294\) | −15.4141 | − | 5.50714i | −0.898969 | − | 0.321183i | ||||
\(295\) | 11.4836 | − | 3.07702i | 0.668602 | − | 0.179151i | ||||
\(296\) | 7.32715 | − | 11.3425i | 0.425882 | − | 0.659269i | ||||
\(297\) | 14.2410 | + | 2.79917i | 0.826348 | + | 0.162424i | ||||
\(298\) | 3.33919 | − | 2.25621i | 0.193434 | − | 0.130699i | ||||
\(299\) | 6.65485 | + | 0.876127i | 0.384860 | + | 0.0506677i | ||||
\(300\) | −5.58912 | − | 7.44801i | −0.322688 | − | 0.430011i | ||||
\(301\) | 5.05082 | + | 38.3648i | 0.291125 | + | 2.21131i | ||||
\(302\) | −3.88183 | − | 0.234298i | −0.223374 | − | 0.0134823i | ||||
\(303\) | 9.47672 | − | 11.8261i | 0.544424 | − | 0.679389i | ||||
\(304\) | 33.2528 | + | 3.68065i | 1.90718 | + | 0.211100i | ||||
\(305\) | −17.2648 | −0.988579 | ||||||||
\(306\) | −20.4497 | + | 3.28743i | −1.16903 | + | 0.187930i | ||||
\(307\) | 3.04950 | − | 7.36214i | 0.174044 | − | 0.420179i | −0.812653 | − | 0.582747i | \(-0.801978\pi\) |
0.986697 | + | 0.162568i | \(0.0519777\pi\) | |||||||
\(308\) | −18.0008 | − | 10.1463i | −1.02569 | − | 0.578137i | ||||
\(309\) | −12.4786 | − | 13.0156i | −0.709883 | − | 0.740433i | ||||
\(310\) | 9.62943 | + | 4.68703i | 0.546915 | + | 0.266205i | ||||
\(311\) | 0.260434 | − | 0.971952i | 0.0147678 | − | 0.0551144i | −0.958149 | − | 0.286271i | \(-0.907584\pi\) |
0.972917 | + | 0.231157i | \(0.0742509\pi\) | |||||||
\(312\) | 3.50014 | − | 0.675995i | 0.198156 | − | 0.0382707i | ||||
\(313\) | 3.97305 | + | 14.8276i | 0.224570 | + | 0.838107i | 0.982576 | + | 0.185859i | \(0.0595069\pi\) |
−0.758006 | + | 0.652247i | \(0.773826\pi\) | |||||||
\(314\) | 2.68059 | − | 13.8497i | 0.151274 | − | 0.781586i | ||||
\(315\) | −30.6477 | + | 2.72801i | −1.72680 | + | 0.153706i | ||||
\(316\) | 5.83718 | − | 2.48880i | 0.328367 | − | 0.140006i | ||||
\(317\) | −17.6519 | + | 13.5448i | −0.991431 | + | 0.760751i | −0.971010 | − | 0.239040i | \(-0.923167\pi\) |
−0.0204209 | + | 0.999791i | \(0.506501\pi\) | |||||||
\(318\) | −11.3504 | − | 5.82349i | −0.636499 | − | 0.326565i | ||||
\(319\) | −2.95450 | + | 1.70578i | −0.165420 | + | 0.0955053i | ||||
\(320\) | −11.6809 | − | 18.8572i | −0.652984 | − | 1.05415i | ||||
\(321\) | 20.8456 | + | 3.19232i | 1.16349 | + | 0.178178i | ||||
\(322\) | −45.7726 | − | 15.2745i | −2.55081 | − | 0.851214i | ||||
\(323\) | −15.6258 | + | 37.7241i | −0.869445 | + | 2.09903i | ||||
\(324\) | 17.0931 | − | 5.64145i | 0.949617 | − | 0.313414i | ||||
\(325\) | −1.80715 | + | 0.748546i | −0.100243 | + | 0.0415219i | ||||
\(326\) | −20.3098 | + | 23.4016i | −1.12486 | + | 1.29610i | ||||
\(327\) | 17.4238 | − | 12.7959i | 0.963539 | − | 0.707616i | ||||
\(328\) | 2.43985 | − | 0.870610i | 0.134718 | − | 0.0480714i | ||||
\(329\) | −6.20781 | − | 1.66338i | −0.342248 | − | 0.0917050i | ||||
\(330\) | −18.9076 | − | 1.54145i | −1.04083 | − | 0.0848541i | ||||
\(331\) | −3.03406 | + | 23.0460i | −0.166767 | + | 1.26672i | 0.679386 | + | 0.733781i | \(0.262246\pi\) |
−0.846153 | + | 0.532940i | \(0.821087\pi\) | |||||||
\(332\) | 16.3925 | − | 0.169355i | 0.899658 | − | 0.00929455i | ||||
\(333\) | −10.9855 | − | 9.18968i | −0.602002 | − | 0.503591i | ||||
\(334\) | −7.33303 | + | 11.0983i | −0.401246 | + | 0.607274i | ||||
\(335\) | −14.9840 | − | 8.65101i | −0.818663 | − | 0.472655i | ||||
\(336\) | −25.6272 | − | 0.0102317i | −1.39808 | − | 0.000558186i | ||||
\(337\) | 17.3997 | − | 10.0457i | 0.947824 | − | 0.547227i | 0.0554198 | − | 0.998463i | \(-0.482350\pi\) |
0.892404 | + | 0.451237i | \(0.149017\pi\) | |||||||
\(338\) | −1.06253 | + | 17.6039i | −0.0577940 | + | 0.957527i | ||||
\(339\) | 10.9534 | + | 0.230723i | 0.594907 | + | 0.0125312i | ||||
\(340\) | 26.0764 | − | 7.27669i | 1.41419 | − | 0.394634i | ||||
\(341\) | 7.04777 | − | 2.91928i | 0.381658 | − | 0.158088i | ||||
\(342\) | 8.20404 | − | 34.5240i | 0.443624 | − | 1.86684i | ||||
\(343\) | −0.830815 | + | 0.830815i | −0.0448598 | + | 0.0448598i | ||||
\(344\) | 13.4965 | + | 26.3315i | 0.727682 | + | 1.41970i | ||||
\(345\) | −44.0335 | + | 4.85613i | −2.37068 | + | 0.261445i | ||||
\(346\) | −7.33364 | + | 2.53176i | −0.394259 | + | 0.136108i | ||||
\(347\) | 13.5418 | + | 10.3910i | 0.726961 | + | 0.557817i | 0.904591 | − | 0.426280i | \(-0.140176\pi\) |
−0.177630 | + | 0.984097i | \(0.556843\pi\) | |||||||
\(348\) | −2.15474 | + | 3.64133i | −0.115506 | + | 0.195196i | ||||
\(349\) | 17.1062 | + | 22.2932i | 0.915674 | + | 1.19333i | 0.980714 | + | 0.195447i | \(0.0626157\pi\) |
−0.0650406 | + | 0.997883i | \(0.520718\pi\) | |||||||
\(350\) | 13.7773 | − | 2.81453i | 0.736428 | − | 0.150443i | ||||
\(351\) | −0.255846 | − | 3.77240i | −0.0136561 | − | 0.201356i | ||||
\(352\) | −15.5711 | − | 2.68127i | −0.829945 | − | 0.142912i | ||||
\(353\) | 13.7167 | + | 7.91932i | 0.730064 | + | 0.421503i | 0.818446 | − | 0.574584i | \(-0.194836\pi\) |
−0.0883816 | + | 0.996087i | \(0.528169\pi\) | |||||||
\(354\) | −0.520241 | − | 10.4898i | −0.0276505 | − | 0.557527i | ||||
\(355\) | 3.44909 | + | 26.1984i | 0.183058 | + | 1.39047i | ||||
\(356\) | 0.510779 | + | 3.59256i | 0.0270712 | + | 0.190405i | ||||
\(357\) | 8.72966 | − | 30.0346i | 0.462022 | − | 1.58960i | ||||
\(358\) | 18.7170 | − | 21.5663i | 0.989224 | − | 1.13982i | ||||
\(359\) | −8.47576 | + | 8.47576i | −0.447333 | + | 0.447333i | −0.894467 | − | 0.447134i | \(-0.852445\pi\) |
0.447134 | + | 0.894467i | \(0.352445\pi\) | |||||||
\(360\) | −21.3707 | + | 9.84050i | −1.12634 | + | 0.518640i | ||||
\(361\) | −36.0314 | − | 36.0314i | −1.89639 | − | 1.89639i | ||||
\(362\) | 7.55471 | − | 0.534367i | 0.397067 | − | 0.0280857i | ||||
\(363\) | 3.99891 | − | 3.83392i | 0.209888 | − | 0.201229i | ||||
\(364\) | −1.33949 | + | 5.21391i | −0.0702083 | + | 0.273283i | ||||
\(365\) | 1.20929 | − | 0.159205i | 0.0632969 | − | 0.00833320i | ||||
\(366\) | −3.21291 | + | 14.9098i | −0.167942 | + | 0.779346i | ||||
\(367\) | −10.4730 | + | 18.1397i | −0.546684 | + | 0.946885i | 0.451814 | + | 0.892112i | \(0.350777\pi\) |
−0.998499 | + | 0.0547732i | \(0.982556\pi\) | |||||||
\(368\) | −36.8897 | + | 0.762311i | −1.92301 | + | 0.0397382i | ||||
\(369\) | −0.598758 | − | 2.68164i | −0.0311701 | − | 0.139601i | ||||
\(370\) | 15.6191 | + | 10.3201i | 0.812000 | + | 0.536515i | ||||
\(371\) | 15.2836 | − | 11.7275i | 0.793484 | − | 0.608862i | ||||
\(372\) | 5.83969 | − | 7.44367i | 0.302774 | − | 0.385936i | ||||
\(373\) | 6.15693 | − | 8.02387i | 0.318794 | − | 0.415460i | −0.606278 | − | 0.795253i | \(-0.707338\pi\) |
0.925072 | + | 0.379793i | \(0.124005\pi\) | |||||||
\(374\) | 8.43963 | − | 17.3391i | 0.436403 | − | 0.896583i | ||||
\(375\) | −8.94893 | + | 6.57203i | −0.462121 | + | 0.339378i | ||||
\(376\) | −4.89818 | + | 0.397357i | −0.252604 | + | 0.0204921i | ||||
\(377\) | 0.628463 | + | 0.628463i | 0.0323675 | + | 0.0323675i | ||||
\(378\) | −3.34754 | + | 26.9748i | −0.172179 | + | 1.38744i | ||||
\(379\) | −4.99838 | − | 12.0672i | −0.256750 | − | 0.619848i | 0.741970 | − | 0.670433i | \(-0.233892\pi\) |
−0.998720 | + | 0.0505846i | \(0.983892\pi\) | |||||||
\(380\) | −5.57873 | + | 46.0456i | −0.286183 | + | 2.36209i | ||||
\(381\) | −11.9215 | − | 7.22181i | −0.610756 | − | 0.369985i | ||||
\(382\) | −20.9144 | − | 23.6013i | −1.07007 | − | 1.20755i | ||||
\(383\) | 5.03803 | + | 8.72613i | 0.257431 | + | 0.445884i | 0.965553 | − | 0.260206i | \(-0.0837905\pi\) |
−0.708122 | + | 0.706090i | \(0.750457\pi\) | |||||||
\(384\) | −18.4588 | + | 6.57831i | −0.941970 | + | 0.335698i | ||||
\(385\) | 14.3236 | − | 24.8091i | 0.729996 | − | 1.26439i | ||||
\(386\) | −6.58456 | + | 1.34514i | −0.335145 | + | 0.0684660i | ||||
\(387\) | 29.4748 | − | 10.7784i | 1.49829 | − | 0.547899i | ||||
\(388\) | 8.08527 | − | 3.44731i | 0.410467 | − | 0.175011i | ||||
\(389\) | 32.7461 | + | 4.31111i | 1.66029 | + | 0.218582i | 0.901509 | − | 0.432760i | \(-0.142460\pi\) |
0.758785 | + | 0.651342i | \(0.225793\pi\) | |||||||
\(390\) | 0.887002 | + | 4.86192i | 0.0449151 | + | 0.246193i | ||||
\(391\) | 11.6553 | − | 43.4983i | 0.589436 | − | 2.19980i | ||||
\(392\) | 8.09583 | − | 17.0789i | 0.408901 | − | 0.862615i | ||||
\(393\) | −5.96668 | + | 13.5882i | −0.300979 | + | 0.685432i | ||||
\(394\) | −18.3464 | + | 1.29769i | −0.924276 | + | 0.0653767i | ||||
\(395\) | 3.36661 | + | 8.12772i | 0.169393 | + | 0.408950i | ||||
\(396\) | −4.84983 | + | 16.0417i | −0.243713 | + | 0.806124i | ||||
\(397\) | 10.2226 | + | 4.23435i | 0.513059 | + | 0.212516i | 0.624165 | − | 0.781292i | \(-0.285439\pi\) |
−0.111106 | + | 0.993809i | \(0.535439\pi\) | |||||||
\(398\) | 11.6854 | − | 5.83785i | 0.585738 | − | 0.292625i | ||||
\(399\) | 41.8165 | + | 33.5093i | 2.09344 | + | 1.67757i | ||||
\(400\) | 9.19882 | − | 5.56746i | 0.459941 | − | 0.278373i | ||||
\(401\) | −12.0434 | − | 20.8599i | −0.601421 | − | 1.04169i | −0.992606 | − | 0.121380i | \(-0.961268\pi\) |
0.391185 | − | 0.920312i | \(-0.372065\pi\) | |||||||
\(402\) | −10.2594 | + | 11.3302i | −0.511693 | + | 0.565097i | ||||
\(403\) | −1.20983 | − | 1.57668i | −0.0602660 | − | 0.0785402i | ||||
\(404\) | 12.5009 | + | 12.2452i | 0.621943 | + | 0.609223i | ||||
\(405\) | 7.57593 | + | 23.7769i | 0.376451 | + | 1.18148i | ||||
\(406\) | −3.57714 | − | 5.29416i | −0.177530 | − | 0.262745i | ||||
\(407\) | 12.8804 | − | 3.45129i | 0.638458 | − | 0.171074i | ||||
\(408\) | −1.43138 | − | 23.8736i | −0.0708641 | − | 1.18192i | ||||
\(409\) | 5.08955 | + | 1.36374i | 0.251662 | + | 0.0674326i | 0.382445 | − | 0.923978i | \(-0.375082\pi\) |
−0.130783 | + | 0.991411i | \(0.541749\pi\) | |||||||
\(410\) | 1.17198 | + | 3.39483i | 0.0578800 | + | 0.167659i | ||||
\(411\) | 2.16076 | + | 0.628032i | 0.106582 | + | 0.0309786i | ||||
\(412\) | 16.3863 | − | 12.8447i | 0.807293 | − | 0.632814i | ||||
\(413\) | 14.6528 | + | 6.06939i | 0.721017 | + | 0.298655i | ||||
\(414\) | −4.00075 | + | 38.9307i | −0.196626 | + | 1.91334i | ||||
\(415\) | 22.7274i | 1.11564i | ||||||||
\(416\) | 0.375202 | + | 4.09916i | 0.0183958 | + | 0.200978i | ||||
\(417\) | −30.0815 | + | 11.7242i | −1.47310 | + | 0.574138i | ||||
\(418\) | 21.9117 | + | 24.7267i | 1.07174 | + | 1.20942i | ||||
\(419\) | 28.0445 | − | 3.69212i | 1.37006 | − | 0.180372i | 0.590672 | − | 0.806912i | \(-0.298863\pi\) |
0.779389 | + | 0.626540i | \(0.215529\pi\) | |||||||
\(420\) | 0.381220 | − | 35.5268i | 0.0186017 | − | 1.73353i | ||||
\(421\) | −2.23992 | + | 17.0139i | −0.109167 | + | 0.829206i | 0.846009 | + | 0.533168i | \(0.178999\pi\) |
−0.955176 | + | 0.296038i | \(0.904335\pi\) | |||||||
\(422\) | 4.34508 | − | 22.4496i | 0.211515 | − | 1.09283i | ||||
\(423\) | −0.219490 | + | 5.20775i | −0.0106720 | + | 0.253210i | ||||
\(424\) | 7.99316 | − | 12.3735i | 0.388182 | − | 0.600908i | ||||
\(425\) | 3.39652 | + | 12.6760i | 0.164755 | + | 0.614876i | ||||
\(426\) | 23.2666 | + | 1.89682i | 1.12727 | + | 0.0919012i | ||||
\(427\) | −18.2725 | − | 14.0210i | −0.884269 | − | 0.678524i | ||||
\(428\) | −6.05919 | + | 23.5852i | −0.292882 | + | 1.14003i | ||||
\(429\) | 3.01095 | + | 1.82398i | 0.145370 | + | 0.0880624i | ||||
\(430\) | −36.6966 | + | 18.3330i | −1.76967 | + | 0.884097i | ||||
\(431\) | − | 9.65845i | − | 0.465231i | −0.972569 | − | 0.232616i | \(-0.925272\pi\) | ||
0.972569 | − | 0.232616i | \(-0.0747284\pi\) | |||||||
\(432\) | 4.52118 | + | 20.2869i | 0.217525 | + | 0.976055i | ||||
\(433\) | 31.2869i | 1.50355i | 0.659419 | + | 0.751775i | \(0.270802\pi\) | ||||
−0.659419 | + | 0.751775i | \(0.729198\pi\) | |||||||
\(434\) | 6.38508 | + | 12.7808i | 0.306494 | + | 0.613499i | ||||
\(435\) | −5.01711 | − | 3.03927i | −0.240552 | − | 0.145722i | ||||
\(436\) | 12.7036 | + | 21.4876i | 0.608394 | + | 1.02907i | ||||
\(437\) | 61.2092 | + | 46.9675i | 2.92803 | + | 2.24676i | ||||
\(438\) | 0.0875548 | − | 1.07396i | 0.00418353 | − | 0.0513158i | ||||
\(439\) | −2.05756 | − | 7.67892i | −0.0982020 | − | 0.366495i | 0.899283 | − | 0.437366i | \(-0.144089\pi\) |
−0.997485 | + | 0.0708714i | \(0.977422\pi\) | |||||||
\(440\) | 3.94005 | − | 21.5478i | 0.187834 | − | 1.02725i | ||||
\(441\) | −16.9238 | − | 10.7457i | −0.805895 | − | 0.511701i | ||||
\(442\) | −4.93233 | − | 0.954643i | −0.234607 | − | 0.0454077i | ||||
\(443\) | −1.19116 | + | 9.04775i | −0.0565937 | + | 0.429872i | 0.939570 | + | 0.342358i | \(0.111226\pi\) |
−0.996163 | + | 0.0875137i | \(0.972108\pi\) | |||||||
\(444\) | 11.8190 | − | 11.5681i | 0.560905 | − | 0.548996i | ||||
\(445\) | −4.98767 | + | 0.656639i | −0.236438 | + | 0.0311277i | ||||
\(446\) | 14.0960 | − | 12.4913i | 0.667465 | − | 0.591478i | ||||
\(447\) | 4.59875 | − | 1.79236i | 0.217514 | − | 0.0847757i | ||||
\(448\) | 2.95151 | − | 29.4442i | 0.139446 | − | 1.39111i | ||||
\(449\) | − | 14.5975i | − | 0.688900i | −0.938805 | − | 0.344450i | \(-0.888065\pi\) | ||
0.938805 | − | 0.344450i | \(-0.111935\pi\) | |||||||
\(450\) | −4.66279 | − | 10.4079i | −0.219806 | − | 0.490635i | ||||
\(451\) | 2.36347 | + | 0.978979i | 0.111291 | + | 0.0460983i | ||||
\(452\) | −1.52159 | + | 12.5589i | −0.0715694 | + | 0.590719i | ||||
\(453\) | −4.57363 | − | 1.32934i | −0.214888 | − | 0.0624580i | ||||
\(454\) | 24.6858 | − | 8.52217i | 1.15856 | − | 0.399965i | ||||
\(455\) | −7.20885 | − | 1.93161i | −0.337956 | − | 0.0905551i | ||||
\(456\) | 38.7265 | + | 13.3867i | 1.81354 | + | 0.626888i | ||||
\(457\) | 3.17779 | − | 0.851485i | 0.148651 | − | 0.0398308i | −0.183726 | − | 0.982977i | \(-0.558816\pi\) |
0.332377 | + | 0.943147i | \(0.392149\pi\) | |||||||
\(458\) | 2.71656 | − | 1.83552i | 0.126937 | − | 0.0857681i | ||||
\(459\) | −25.3166 | − | 1.60171i | −1.18168 | − | 0.0747612i | ||||
\(460\) | −0.528452 | − | 51.1510i | −0.0246392 | − | 2.38493i | ||||
\(461\) | −13.5037 | − | 17.5983i | −0.628929 | − | 0.819636i | 0.364843 | − | 0.931069i | \(-0.381123\pi\) |
−0.993772 | + | 0.111433i | \(0.964456\pi\) | |||||||
\(462\) | −18.7594 | − | 16.9866i | −0.872768 | − | 0.790289i | ||||
\(463\) | −17.8061 | − | 30.8410i | −0.827517 | − | 1.43330i | −0.899980 | − | 0.435931i | \(-0.856419\pi\) |
0.0724627 | − | 0.997371i | \(-0.476914\pi\) | |||||||
\(464\) | −3.93667 | − | 2.89348i | −0.182755 | − | 0.134327i | ||||
\(465\) | 10.2355 | + | 8.20216i | 0.474661 | + | 0.380366i | ||||
\(466\) | 12.5858 | + | 25.1926i | 0.583027 | + | 1.16703i | ||||
\(467\) | −12.6498 | − | 5.23973i | −0.585364 | − | 0.242466i | 0.0702907 | − | 0.997527i | \(-0.477607\pi\) |
−0.655655 | + | 0.755061i | \(0.727607\pi\) | |||||||
\(468\) | 4.36379 | + | 0.138776i | 0.201716 | + | 0.00641493i | ||||
\(469\) | −8.83298 | − | 21.3247i | −0.407869 | − | 0.984683i | ||||
\(470\) | −0.480703 | − | 6.79603i | −0.0221732 | − | 0.313478i | ||||
\(471\) | 6.94638 | − | 15.8193i | 0.320072 | − | 0.728913i | ||||
\(472\) | 12.1123 | + | 0.605558i | 0.557515 | + | 0.0278731i | ||||
\(473\) | −7.56259 | + | 28.2240i | −0.347728 | + | 1.29774i | ||||
\(474\) | 7.64556 | − | 1.39485i | 0.351172 | − | 0.0640674i | ||||
\(475\) | −22.2909 | − | 2.93466i | −1.02278 | − | 0.134651i | ||||
\(476\) | 33.5080 | + | 13.4756i | 1.53584 | + | 0.617654i | ||||
\(477\) | −11.9840 | − | 10.0250i | −0.548711 | − | 0.459012i | ||||
\(478\) | −0.248755 | − | 1.21767i | −0.0113778 | − | 0.0556949i | ||||
\(479\) | −1.08307 | + | 1.87594i | −0.0494869 | + | 0.0857138i | −0.889708 | − | 0.456530i | \(-0.849092\pi\) |
0.840221 | + | 0.542244i | \(0.182425\pi\) | |||||||
\(480\) | −8.85513 | − | 25.6836i | −0.404180 | − | 1.17229i | ||||
\(481\) | −1.73699 | − | 3.00855i | −0.0791999 | − | 0.137178i | ||||
\(482\) | 2.49056 | − | 2.20703i | 0.113442 | − | 0.100527i | ||||
\(483\) | −50.5474 | − | 30.6207i | −2.29999 | − | 1.39329i | ||||
\(484\) | 3.94641 | + | 5.03450i | 0.179382 | + | 0.228841i | ||||
\(485\) | 4.66320 | + | 11.2580i | 0.211745 | + | 0.511198i | ||||
\(486\) | 21.9435 | − | 2.11772i | 0.995375 | − | 0.0960619i | ||||
\(487\) | 26.1827 | + | 26.1827i | 1.18645 | + | 1.18645i | 0.978042 | + | 0.208409i | \(0.0668285\pi\) |
0.208409 | + | 0.978042i | \(0.433171\pi\) | |||||||
\(488\) | −16.7626 | − | 5.40193i | −0.758806 | − | 0.244534i | ||||
\(489\) | −30.5874 | + | 22.4632i | −1.38321 | + | 1.01582i | ||||
\(490\) | 23.5605 | + | 11.4678i | 1.06435 | + | 0.518064i | ||||
\(491\) | −1.14575 | + | 1.49317i | −0.0517070 | + | 0.0673859i | −0.818491 | − | 0.574519i | \(-0.805189\pi\) |
0.766784 | + | 0.641905i | \(0.221856\pi\) | |||||||
\(492\) | 3.14986 | − | 0.380350i | 0.142006 | − | 0.0171475i | ||||
\(493\) | 4.73064 | − | 3.62995i | 0.213057 | − | 0.163485i | ||||
\(494\) | 4.74485 | − | 7.18120i | 0.213481 | − | 0.323097i | ||||
\(495\) | −22.1691 | − | 6.95306i | −0.996425 | − | 0.312517i | ||||
\(496\) | 7.88281 | + | 7.56361i | 0.353949 | + | 0.339616i | ||||
\(497\) | −17.6257 | + | 30.5287i | −0.790622 | + | 1.36940i | ||||
\(498\) | 19.6272 | + | 4.22948i | 0.879517 | + | 0.189528i | ||||
\(499\) | 5.84670 | − | 0.769733i | 0.261734 | − | 0.0344580i | 0.00148298 | − | 0.999999i | \(-0.499528\pi\) |
0.260251 | + | 0.965541i | \(0.416195\pi\) | |||||||
\(500\) | −6.52464 | − | 11.0361i | −0.291791 | − | 0.493550i | ||||
\(501\) | −11.7600 | + | 11.2748i | −0.525399 | + | 0.503722i | ||||
\(502\) | 0.578756 | + | 8.18228i | 0.0258312 | + | 0.365193i | ||||
\(503\) | 26.9218 | + | 26.9218i | 1.20039 | + | 1.20039i | 0.974049 | + | 0.226337i | \(0.0726750\pi\) |
0.226337 | + | 0.974049i | \(0.427325\pi\) | |||||||
\(504\) | −30.6098 | − | 6.94062i | −1.36347 | − | 0.309160i | ||||
\(505\) | −17.1546 | + | 17.1546i | −0.763369 | + | 0.763369i | ||||
\(506\) | −27.5185 | − | 23.8828i | −1.22335 | − | 1.06172i | ||||
\(507\) | −6.02851 | + | 20.7412i | −0.267735 | + | 0.921149i | ||||
\(508\) | 9.66532 | − | 12.8692i | 0.428829 | − | 0.570979i | ||||
\(509\) | −5.77777 | − | 43.8865i | −0.256095 | − | 1.94524i | −0.320343 | − | 0.947301i | \(-0.603798\pi\) |
0.0642483 | − | 0.997934i | \(-0.479535\pi\) | |||||||
\(510\) | 33.1164 | − | 1.64240i | 1.46642 | − | 0.0727269i | ||||
\(511\) | 1.40916 | + | 0.813581i | 0.0623378 | + | 0.0359907i | ||||
\(512\) | −5.44096 | − | 21.9635i | −0.240459 | − | 0.970659i | ||||
\(513\) | 19.1337 | − | 39.0220i | 0.844772 | − | 1.72286i | ||||
\(514\) | −0.210401 | − | 1.02993i | −0.00928040 | − | 0.0454281i | ||||
\(515\) | 17.5719 | + | 22.9002i | 0.774312 | + | 1.00910i | ||||
\(516\) | 9.00318 | + | 35.1027i | 0.396343 | + | 1.54531i | ||||
\(517\) | −3.85009 | − | 2.95428i | −0.169327 | − | 0.129929i | ||||
\(518\) | 8.14972 | + | 23.6070i | 0.358078 | + | 1.03723i | ||||
\(519\) | −9.44474 | + | 1.04159i | −0.414578 | + | 0.0457208i | ||||
\(520\) | −5.68804 | + | 0.461433i | −0.249437 | + | 0.0202352i | ||||
\(521\) | 28.0278 | − | 28.0278i | 1.22792 | − | 1.22792i | 0.263169 | − | 0.964750i | \(-0.415232\pi\) |
0.964750 | − | 0.263169i | \(-0.0847678\pi\) | |||||||
\(522\) | −3.55836 | + | 3.76714i | −0.155745 | + | 0.164883i | ||||
\(523\) | 24.6960 | − | 10.2294i | 1.07988 | − | 0.447302i | 0.229414 | − | 0.973329i | \(-0.426319\pi\) |
0.850468 | + | 0.526027i | \(0.176319\pi\) | |||||||
\(524\) | −14.9282 | − | 8.41438i | −0.652141 | − | 0.367584i | ||||
\(525\) | 17.2184 | + | 0.362688i | 0.751471 | + | 0.0158290i | ||||
\(526\) | 17.1977 | + | 1.03801i | 0.749853 | + | 0.0452593i | ||||
\(527\) | −11.5469 | + | 6.66663i | −0.502993 | + | 0.290403i | ||||
\(528\) | −17.8754 | − | 7.41258i | −0.777925 | − | 0.322591i | ||||
\(529\) | −53.7709 | − | 31.0447i | −2.33787 | − | 1.34977i | ||||
\(530\) | 17.0388 | + | 11.2581i | 0.740119 | + | 0.489021i | ||||
\(531\) | 2.21451 | − | 12.6711i | 0.0961015 | − | 0.549877i | ||||
\(532\) | −43.2987 | + | 44.2027i | −1.87724 | + | 1.91643i | ||||
\(533\) | 0.0869908 | − | 0.660760i | 0.00376799 | − | 0.0286207i | ||||
\(534\) | −0.361118 | + | 4.42952i | −0.0156271 | + | 0.191684i | ||||
\(535\) | −32.6093 | − | 8.73763i | −1.40982 | − | 0.377761i | ||||
\(536\) | −11.8413 | − | 13.0877i | −0.511468 | − | 0.565301i | ||||
\(537\) | 28.1886 | − | 20.7015i | 1.21643 | − | 0.893336i | ||||
\(538\) | −5.58107 | − | 4.84370i | −0.240617 | − | 0.208827i | ||||
\(539\) | 17.2439 | − | 7.14266i | 0.742747 | − | 0.307656i | ||||
\(540\) | −28.1885 | + | 5.97715i | −1.21304 | + | 0.257215i | ||||
\(541\) | −12.0228 | + | 29.0255i | −0.516899 | + | 1.24791i | 0.422899 | + | 0.906177i | \(0.361012\pi\) |
−0.939799 | + | 0.341729i | \(0.888988\pi\) | |||||||
\(542\) | 9.59215 | − | 28.7445i | 0.412018 | − | 1.23468i | ||||
\(543\) | 9.16882 | + | 1.40412i | 0.393472 | + | 0.0602568i | ||||
\(544\) | 27.5947 | + | 1.09395i | 1.18311 | + | 0.0469026i | ||||
\(545\) | −29.9702 | + | 17.3033i | −1.28378 | + | 0.741191i | ||||
\(546\) | −3.00966 | + | 5.86605i | −0.128802 | + | 0.251044i | ||||
\(547\) | −26.4382 | + | 20.2868i | −1.13042 | + | 0.867399i | −0.992403 | − | 0.123031i | \(-0.960738\pi\) |
−0.138014 | + | 0.990430i | \(0.544072\pi\) | |||||||
\(548\) | −0.969468 | + | 2.41064i | −0.0414136 | + | 0.102978i | ||||
\(549\) | −7.86884 | + | 16.9416i | −0.335834 | + | 0.723049i | ||||
\(550\) | 10.4248 | + | 2.01769i | 0.444514 | + | 0.0860348i | ||||
\(551\) | 2.64406 | + | 9.86777i | 0.112641 | + | 0.420381i | ||||
\(552\) | −44.2720 | − | 9.06265i | −1.88434 | − | 0.385732i | ||||
\(553\) | −3.03753 | + | 11.3362i | −0.129169 | + | 0.482065i | ||||
\(554\) | 10.0599 | − | 20.6679i | 0.427405 | − | 0.878097i | ||||
\(555\) | 15.8675 | + | 16.5503i | 0.673538 | + | 0.702523i | ||||
\(556\) | −10.0203 | − | 35.9082i | −0.424955 | − | 1.52285i | ||||
\(557\) | −10.4144 | + | 25.1426i | −0.441273 | + | 1.06533i | 0.534230 | + | 0.845339i | \(0.320602\pi\) |
−0.975503 | + | 0.219988i | \(0.929398\pi\) | |||||||
\(558\) | 8.98812 | − | 7.31293i | 0.380498 | − | 0.309581i | ||||
\(559\) | 7.61230 | 0.321966 | ||||||||
\(560\) | 40.7761 | + | 4.51338i | 1.72311 | + | 0.190725i | ||||
\(561\) | 14.7691 | − | 18.4304i | 0.623552 | − | 0.778133i | ||||
\(562\) | −0.727536 | + | 12.0538i | −0.0306892 | + | 0.508457i | ||||
\(563\) | −5.70321 | − | 43.3202i | −0.240362 | − | 1.82573i | −0.507016 | − | 0.861937i | \(-0.669251\pi\) |
0.266654 | − | 0.963792i | \(-0.414082\pi\) | |||||||
\(564\) | −5.95847 | − | 0.849585i | −0.250897 | − | 0.0357740i | ||||
\(565\) | −17.3885 | − | 2.28924i | −0.731541 | − | 0.0963092i | ||||
\(566\) | 2.03814 | + | 3.01645i | 0.0856696 | + | 0.126791i | ||||
\(567\) | −11.2915 | + | 31.3173i | −0.474198 | + | 1.31520i | ||||
\(568\) | −4.84839 | + | 26.5155i | −0.203434 | + | 1.11257i | ||||
\(569\) | −15.9119 | + | 4.26359i | −0.667062 | + | 0.178739i | −0.576431 | − | 0.817146i | \(-0.695555\pi\) |
−0.0906312 | + | 0.995885i | \(0.528888\pi\) | |||||||
\(570\) | −19.1126 | + | 53.4948i | −0.800537 | + | 2.24065i | ||||
\(571\) | 19.0658 | − | 24.8470i | 0.797878 | − | 1.03981i | −0.200315 | − | 0.979731i | \(-0.564197\pi\) |
0.998193 | − | 0.0600834i | \(-0.0191367\pi\) | |||||||
\(572\) | −2.44112 | + | 3.25031i | −0.102068 | + | 0.135902i | ||||
\(573\) | −18.6023 | − | 33.8468i | −0.777121 | − | 1.41397i | ||||
\(574\) | −1.51661 | + | 4.54477i | −0.0633019 | + | 0.189695i | ||||
\(575\) | 24.7962 | 1.03407 | ||||||||
\(576\) | −23.8281 | + | 2.86762i | −0.992836 | + | 0.119484i | ||||
\(577\) | −0.592955 | −0.0246850 | −0.0123425 | − | 0.999924i | \(-0.503929\pi\) | ||||
−0.0123425 | + | 0.999924i | \(0.503929\pi\) | |||||||
\(578\) | −3.05894 | + | 9.16664i | −0.127235 | + | 0.381282i | ||||
\(579\) | −8.22914 | − | 0.173339i | −0.341991 | − | 0.00720372i | ||||
\(580\) | 4.06761 | − | 5.41596i | 0.168898 | − | 0.224885i | ||||
\(581\) | −18.4573 | + | 24.0540i | −0.765736 | + | 0.997926i | ||||
\(582\) | 10.5901 | − | 1.93205i | 0.438974 | − | 0.0800859i | ||||
\(583\) | 14.0512 | − | 3.76500i | 0.581940 | − | 0.155930i | ||||
\(584\) | 1.22392 | + | 0.223796i | 0.0506463 | + | 0.00926074i | ||||
\(585\) | −0.254884 | + | 6.04752i | −0.0105382 | + | 0.250034i | ||||
\(586\) | 6.11534 | + | 9.05070i | 0.252622 | + | 0.373881i | ||||
\(587\) | 0.0766157 | + | 0.0100866i | 0.00316227 | + | 0.000416320i | 0.132107 | − | 0.991235i | \(-0.457826\pi\) |
−0.128945 | + | 0.991652i | \(0.541159\pi\) | |||||||
\(588\) | 14.2881 | − | 18.2126i | 0.589230 | − | 0.751074i | ||||
\(589\) | −2.98165 | − | 22.6479i | −0.122857 | − | 0.933189i | ||||
\(590\) | −1.01296 | + | 16.7826i | −0.0417029 | + | 0.690930i | ||||
\(591\) | −22.2662 | − | 3.40987i | −0.915907 | − | 0.140263i | ||||
\(592\) | 11.9358 | + | 14.9069i | 0.490557 | + | 0.612670i | ||||
\(593\) | −20.9136 | −0.858817 | −0.429408 | − | 0.903110i | \(-0.641278\pi\) | ||||
−0.429408 | + | 0.903110i | \(0.641278\pi\) | |||||||
\(594\) | −10.1302 | + | 17.8511i | −0.415647 | + | 0.732441i | ||||
\(595\) | −19.1611 | + | 46.2590i | −0.785529 | + | 1.89644i | ||||
\(596\) | 1.53187 | + | 5.48952i | 0.0627477 | + | 0.224859i | ||||
\(597\) | 15.5369 | − | 3.81431i | 0.635884 | − | 0.156109i | ||||
\(598\) | −4.15443 | + | 8.53521i | −0.169887 | + | 0.349031i | ||||
\(599\) | −2.70415 | + | 10.0920i | −0.110489 | + | 0.412349i | −0.998910 | − | 0.0466798i | \(-0.985136\pi\) |
0.888421 | + | 0.459029i | \(0.151803\pi\) | |||||||
\(600\) | 12.4935 | − | 4.16358i | 0.510044 | − | 0.169977i | ||||
\(601\) | 3.48752 | + | 13.0156i | 0.142259 | + | 0.530917i | 0.999862 | + | 0.0166053i | \(0.00528588\pi\) |
−0.857603 | + | 0.514312i | \(0.828047\pi\) | |||||||
\(602\) | −53.7271 | − | 10.3988i | −2.18975 | − | 0.423823i | ||||
\(603\) | −15.3184 | + | 10.7606i | −0.623812 | + | 0.438204i | ||||
\(604\) | 2.05205 | − | 5.10256i | 0.0834968 | − | 0.207620i | ||||
\(605\) | −7.03584 | + | 5.39879i | −0.286048 | + | 0.219492i | ||||
\(606\) | 11.6222 | + | 18.0070i | 0.472119 | + | 0.731485i | ||||
\(607\) | 24.6212 | − | 14.2151i | 0.999344 | − | 0.576972i | 0.0912899 | − | 0.995824i | \(-0.470901\pi\) |
0.908054 | + | 0.418853i | \(0.137568\pi\) | |||||||
\(608\) | −19.8235 | + | 42.9607i | −0.803951 | + | 1.74229i | ||||
\(609\) | −2.84171 | − | 7.29114i | −0.115152 | − | 0.295452i | ||||
\(610\) | 7.72877 | − | 23.1606i | 0.312929 | − | 0.937744i | ||||
\(611\) | −0.483822 | + | 1.16805i | −0.0195734 | + | 0.0472543i | ||||
\(612\) | 4.74447 | − | 28.9047i | 0.191784 | − | 1.16841i | ||||
\(613\) | −0.766976 | + | 0.317692i | −0.0309779 | + | 0.0128315i | −0.398119 | − | 0.917334i | \(-0.630337\pi\) |
0.367141 | + | 0.930165i | \(0.380337\pi\) | |||||||
\(614\) | 8.51111 | + | 7.38661i | 0.343480 | + | 0.298099i | ||||
\(615\) | 0.482165 | + | 4.37209i | 0.0194428 | + | 0.176300i | ||||
\(616\) | 21.6694 | − | 19.6058i | 0.873083 | − | 0.789940i | ||||
\(617\) | −16.0528 | − | 4.30133i | −0.646261 | − | 0.173165i | −0.0792232 | − | 0.996857i | \(-0.525244\pi\) |
−0.567038 | + | 0.823692i | \(0.691911\pi\) | |||||||
\(618\) | 23.0465 | − | 10.9134i | 0.927068 | − | 0.439000i | ||||
\(619\) | 1.16668 | − | 8.86181i | 0.0468928 | − | 0.356186i | −0.951872 | − | 0.306496i | \(-0.900843\pi\) |
0.998765 | − | 0.0496901i | \(-0.0158234\pi\) | |||||||
\(620\) | −10.5983 | + | 10.8196i | −0.425639 | + | 0.434525i | ||||
\(621\) | −15.3041 | + | 45.4224i | −0.614132 | + | 1.82274i | ||||
\(622\) | 1.18728 | + | 0.784475i | 0.0476056 | + | 0.0314546i | ||||
\(623\) | −5.81206 | − | 3.35560i | −0.232855 | − | 0.134439i | ||||
\(624\) | −0.660032 | + | 4.99802i | −0.0264224 | + | 0.200081i | ||||
\(625\) | 27.0326 | − | 15.6073i | 1.08131 | − | 0.624292i | ||||
\(626\) | −21.6697 | − | 1.30793i | −0.866096 | − | 0.0522754i | ||||
\(627\) | 19.4893 | + | 35.4607i | 0.778328 | + | 1.41617i | ||||
\(628\) | 17.3793 | + | 9.79597i | 0.693510 | + | 0.390902i | ||||
\(629\) | −21.5328 | + | 8.91919i | −0.858571 | + | 0.355632i | ||||
\(630\) | 10.0602 | − | 42.3348i | 0.400807 | − | 1.68666i | ||||
\(631\) | 34.8527 | − | 34.8527i | 1.38746 | − | 1.38746i | 0.556855 | − | 0.830610i | \(-0.312008\pi\) |
0.830610 | − | 0.556855i | \(-0.187992\pi\) | |||||||
\(632\) | 0.725621 | + | 8.94467i | 0.0288637 | + | 0.355800i | ||||
\(633\) | 11.2597 | − | 25.6421i | 0.447532 | − | 1.01918i | ||||
\(634\) | −10.2682 | − | 29.7434i | −0.407801 | − | 1.18126i | ||||
\(635\) | 17.7021 | + | 13.5833i | 0.702488 | + | 0.539038i | ||||
\(636\) | 12.8933 | − | 12.6195i | 0.511252 | − | 0.500397i | ||||
\(637\) | −2.96012 | − | 3.85770i | −0.117284 | − | 0.152848i | ||||
\(638\) | −0.965677 | − | 4.72704i | −0.0382315 | − | 0.187145i | ||||
\(639\) | 27.2800 | + | 8.55603i | 1.07918 | + | 0.338471i | ||||
\(640\) | 30.5259 | − | 7.22823i | 1.20664 | − | 0.285721i | ||||
\(641\) | −13.4004 | − | 7.73670i | −0.529283 | − | 0.305581i | 0.211442 | − | 0.977391i | \(-0.432184\pi\) |
−0.740724 | + | 0.671809i | \(0.765517\pi\) | |||||||
\(642\) | −13.6142 | + | 26.5351i | −0.537311 | + | 1.04726i | ||||
\(643\) | 3.72779 | + | 28.3154i | 0.147010 | + | 1.11665i | 0.892795 | + | 0.450463i | \(0.148741\pi\) |
−0.745785 | + | 0.666187i | \(0.767925\pi\) | |||||||
\(644\) | 40.9812 | − | 54.5658i | 1.61489 | − | 2.15019i | ||||
\(645\) | −48.7917 | + | 11.9783i | −1.92117 | + | 0.471647i | ||||
\(646\) | −43.6115 | − | 37.8495i | −1.71587 | − | 1.48917i | ||||
\(647\) | 21.2031 | − | 21.2031i | 0.833579 | − | 0.833579i | −0.154425 | − | 0.988004i | \(-0.549353\pi\) |
0.988004 | + | 0.154425i | \(0.0493525\pi\) | |||||||
\(648\) | −0.0839444 | + | 25.4557i | −0.00329765 | + | 0.999995i | ||||
\(649\) | 8.46838 | + | 8.46838i | 0.332413 | + | 0.332413i | ||||
\(650\) | −0.195178 | − | 2.75937i | −0.00765552 | − | 0.108231i | ||||
\(651\) | 4.17185 | + | 16.9933i | 0.163508 | + | 0.666021i | ||||
\(652\) | −22.3012 | − | 37.7214i | −0.873382 | − | 1.47728i | ||||
\(653\) | −3.52971 | + | 0.464695i | −0.138128 | + | 0.0181849i | −0.199273 | − | 0.979944i | \(-0.563858\pi\) |
0.0611451 | + | 0.998129i | \(0.480525\pi\) | |||||||
\(654\) | 9.36567 | + | 29.1021i | 0.366227 | + | 1.13798i | ||||
\(655\) | 11.8786 | − | 20.5744i | 0.464137 | − | 0.803909i | ||||
\(656\) | 0.0756900 | + | 3.66278i | 0.00295520 | + | 0.143008i | ||||
\(657\) | 0.394936 | − | 1.25921i | 0.0154079 | − | 0.0491264i | ||||
\(658\) | 5.01040 | − | 7.58310i | 0.195326 | − | 0.295620i | ||||
\(659\) | −14.4317 | + | 11.0738i | −0.562178 | + | 0.431374i | −0.850360 | − | 0.526201i | \(-0.823616\pi\) |
0.288182 | + | 0.957576i | \(0.406949\pi\) | |||||||
\(660\) | 10.5321 | − | 24.6744i | 0.409960 | − | 0.960450i | ||||
\(661\) | −5.70627 | + | 7.43656i | −0.221948 | + | 0.289249i | −0.891034 | − | 0.453937i | \(-0.850019\pi\) |
0.669086 | + | 0.743185i | \(0.266686\pi\) | |||||||
\(662\) | −29.5577 | − | 14.3869i | −1.14879 | − | 0.559164i | ||||
\(663\) | −5.63374 | − | 2.47382i | −0.218796 | − | 0.0960754i | ||||
\(664\) | −7.11111 | + | 22.0663i | −0.275965 | + | 0.856337i | ||||
\(665\) | −60.6580 | − | 60.6580i | −2.35222 | − | 2.35222i | ||||
\(666\) | 17.2457 | − | 10.6231i | 0.668256 | − | 0.411637i | ||||
\(667\) | −4.31161 | − | 10.4092i | −0.166946 | − | 0.403044i | ||||
\(668\) | −11.6056 | − | 14.8055i | −0.449035 | − | 0.572842i | ||||
\(669\) | 20.2152 | − | 11.1103i | 0.781564 | − | 0.429549i | ||||
\(670\) | 18.3130 | − | 16.2282i | 0.707493 | − | 0.626949i | ||||
\(671\) | −8.69585 | − | 15.0616i | −0.335699 | − | 0.581448i | ||||
\(672\) | 11.4860 | − | 34.3741i | 0.443083 | − | 1.32601i | ||||
\(673\) | 24.2246 | − | 41.9583i | 0.933792 | − | 1.61737i | 0.157017 | − | 0.987596i | \(-0.449812\pi\) |
0.776775 | − | 0.629778i | \(-0.216854\pi\) | |||||||
\(674\) | 5.68710 | + | 27.8387i | 0.219059 | + | 1.07231i | ||||
\(675\) | −2.75604 | − | 13.6932i | −0.106080 | − | 0.527053i | ||||
\(676\) | −23.1399 | − | 9.30596i | −0.889994 | − | 0.357921i | ||||
\(677\) | −35.6488 | − | 4.69325i | −1.37009 | − | 0.180376i | −0.590690 | − | 0.806898i | \(-0.701144\pi\) |
−0.779404 | + | 0.626522i | \(0.784478\pi\) | |||||||
\(678\) | −5.21292 | + | 14.5906i | −0.200201 | + | 0.560349i | ||||
\(679\) | −4.20738 | + | 15.7021i | −0.161464 | + | 0.602593i | ||||
\(680\) | −1.91175 | + | 38.2387i | −0.0733124 | + | 1.46639i | ||||
\(681\) | 31.7920 | − | 3.50611i | 1.21827 | − | 0.134354i | ||||
\(682\) | 0.761182 | + | 10.7614i | 0.0291472 | + | 0.412074i | ||||
\(683\) | −8.02777 | − | 19.3808i | −0.307174 | − | 0.741584i | −0.999794 | − | 0.0202816i | \(-0.993544\pi\) |
0.692620 | − | 0.721303i | \(-0.256456\pi\) | |||||||
\(684\) | 42.6410 | + | 26.4607i | 1.63042 | + | 1.01175i | ||||
\(685\) | −3.32798 | − | 1.37850i | −0.127156 | − | 0.0526696i | ||||
\(686\) | −0.742609 | − | 1.48646i | −0.0283529 | − | 0.0567531i | ||||
\(687\) | 3.74126 | − | 1.45815i | 0.142738 | − | 0.0556320i | ||||
\(688\) | −41.3653 | + | 6.31784i | −1.57704 | + | 0.240865i | ||||
\(689\) | −1.89487 | − | 3.28202i | −0.0721889 | − | 0.125035i | ||||
\(690\) | 13.1976 | − | 61.2444i | 0.502424 | − | 2.33154i | ||||
\(691\) | 13.2416 | + | 17.2569i | 0.503736 | + | 0.656482i | 0.974134 | − | 0.225973i | \(-0.0725561\pi\) |
−0.470398 | + | 0.882455i | \(0.655889\pi\) | |||||||
\(692\) | −0.113348 | − | 10.9714i | −0.00430883 | − | 0.417069i | ||||
\(693\) | −17.8164 | − | 25.3628i | −0.676788 | − | 0.963451i | ||||
\(694\) | −20.0015 | + | 13.5146i | −0.759248 | + | 0.513006i | ||||
\(695\) | 49.9230 | − | 13.3768i | 1.89369 | − | 0.507412i | ||||
\(696\) | −3.92022 | − | 4.52065i | −0.148595 | − | 0.171355i | ||||
\(697\) | −4.31895 | − | 1.15726i | −0.163592 | − | 0.0438343i | ||||
\(698\) | −37.5640 | + | 12.9680i | −1.42182 | + | 0.490847i | ||||
\(699\) | 8.22327 | + | 33.4961i | 0.311033 | + | 1.26694i | ||||
\(700\) | −2.39188 | + | 19.7421i | −0.0904047 | + | 0.746181i | ||||
\(701\) | −13.2863 | − | 5.50335i | −0.501815 | − | 0.207858i | 0.117393 | − | 0.993086i | \(-0.462546\pi\) |
−0.619208 | + | 0.785227i | \(0.712546\pi\) | |||||||
\(702\) | 5.17517 | + | 1.34554i | 0.195324 | + | 0.0507841i | ||||
\(703\) | − | 39.9308i | − | 1.50602i | ||||||
\(704\) | 10.5675 | − | 19.6883i | 0.398277 | − | 0.742029i | ||||
\(705\) | 1.26312 | − | 8.24804i | 0.0475717 | − | 0.310639i | ||||
\(706\) | −16.7641 | + | 14.8556i | −0.630925 | + | 0.559098i | ||||
\(707\) | −32.0874 | + | 4.22439i | −1.20677 | + | 0.158874i | ||||
\(708\) | 14.3049 | + | 3.99797i | 0.537610 | + | 0.150253i | ||||
\(709\) | 1.69722 | − | 12.8917i | 0.0637406 | − | 0.484158i | −0.929567 | − | 0.368654i | \(-0.879819\pi\) |
0.993307 | − | 0.115503i | \(-0.0368481\pi\) | |||||||
\(710\) | −36.6890 | − | 7.10108i | −1.37691 | − | 0.266499i | ||||
\(711\) | 9.50998 | + | 0.400815i | 0.356652 | + | 0.0150317i | ||||
\(712\) | −5.04804 | − | 0.923040i | −0.189183 | − | 0.0345924i | ||||
\(713\) | 6.52048 | + | 24.3348i | 0.244194 | + | 0.911344i | ||||
\(714\) | 36.3832 | + | 25.1561i | 1.36161 | + | 0.941442i | ||||
\(715\) | −4.47094 | − | 3.43067i | −0.167204 | − | 0.128300i | ||||
\(716\) | 20.5522 | + | 34.7631i | 0.768072 | + | 1.29916i | ||||
\(717\) | 0.0320553 | − | 1.52180i | 0.00119713 | − | 0.0568326i | ||||
\(718\) | −7.57589 | − | 15.1644i | −0.282730 | − | 0.565931i | ||||
\(719\) | 7.95286i | 0.296592i | 0.988943 | + | 0.148296i | \(0.0473788\pi\) | ||||
−0.988943 | + | 0.148296i | \(0.952621\pi\) | |||||||
\(720\) | −3.63411 | − | 33.0739i | −0.135435 | − | 1.23259i | ||||
\(721\) | 38.5073i | 1.43409i | ||||||||
\(722\) | 64.4657 | − | 32.2060i | 2.39916 | − | 1.19858i | ||||
\(723\) | 3.57174 | − | 1.96304i | 0.132834 | − | 0.0730061i | ||||
\(724\) | −2.66510 | + | 10.3738i | −0.0990477 | + | 0.385539i | ||||
\(725\) | 2.60481 | + | 1.99874i | 0.0967402 | + | 0.0742314i | ||||
\(726\) | 3.35302 | + | 7.08080i | 0.124442 | + | 0.262793i | ||||
\(727\) | 0.524112 | + | 1.95601i | 0.0194382 | + | 0.0725445i | 0.974964 | − | 0.222364i | \(-0.0713774\pi\) |
−0.955525 | + | 0.294909i | \(0.904711\pi\) | |||||||
\(728\) | −6.39478 | − | 4.13098i | −0.237006 | − | 0.153104i | ||||
\(729\) | 26.7847 | + | 3.40280i | 0.992026 | + | 0.126030i | ||||
\(730\) | −0.327777 | + | 1.69352i | −0.0121316 | + | 0.0626799i | ||||
\(731\) | 6.66611 | − | 50.6341i | 0.246555 | − | 1.87277i | ||||
\(732\) | −18.5630 | − | 10.9846i | −0.686109 | − | 0.406003i | ||||
\(733\) | 29.1017 | − | 3.83131i | 1.07490 | − | 0.141513i | 0.427764 | − | 0.903891i | \(-0.359302\pi\) |
0.647132 | + | 0.762378i | \(0.275968\pi\) | |||||||
\(734\) | −19.6459 | − | 22.1698i | −0.725145 | − | 0.818303i | ||||
\(735\) | 25.0434 | + | 20.0684i | 0.923740 | + | 0.740233i | ||||
\(736\) | 15.4914 | − | 49.8284i | 0.571021 | − | 1.83670i | ||||
\(737\) | − | 17.4292i | − | 0.642013i | ||||||
\(738\) | 3.86544 | + | 0.397235i | 0.142289 | + | 0.0146224i | ||||
\(739\) | −21.4139 | − | 8.86992i | −0.787722 | − | 0.326285i | −0.0476950 | − | 0.998862i | \(-0.515188\pi\) |
−0.740027 | + | 0.672577i | \(0.765188\pi\) | |||||||
\(740\) | −20.8364 | + | 16.3330i | −0.765960 | + | 0.600415i | ||||
\(741\) | 7.60934 | − | 7.29539i | 0.279536 | − | 0.268003i | ||||
\(742\) | 8.89049 | + | 25.7527i | 0.326380 | + | 0.945413i | ||||
\(743\) | −37.5511 | − | 10.0618i | −1.37762 | − | 0.369132i | −0.507363 | − | 0.861733i | \(-0.669380\pi\) |
−0.870255 | + | 0.492601i | \(0.836046\pi\) | |||||||
\(744\) | 7.37143 | + | 11.1661i | 0.270250 | + | 0.409370i | ||||
\(745\) | −7.63205 | + | 2.04500i | −0.279617 | + | 0.0749231i | ||||
\(746\) | 8.00773 | + | 11.8514i | 0.293184 | + | 0.433912i | ||||
\(747\) | 22.3019 | + | 10.3585i | 0.815984 | + | 0.378999i | ||||
\(748\) | 19.4822 | + | 19.0837i | 0.712338 | + | 0.697770i | ||||
\(749\) | −27.4167 | − | 35.7301i | −1.00178 | − | 1.30555i | ||||
\(750\) | −4.81024 | − | 14.9470i | −0.175645 | − | 0.545786i | ||||
\(751\) | 25.4455 | + | 44.0729i | 0.928520 | + | 1.60824i | 0.785800 | + | 0.618481i | \(0.212251\pi\) |
0.142720 | + | 0.989763i | \(0.454415\pi\) | |||||||
\(752\) | 1.65967 | − | 6.74875i | 0.0605220 | − | 0.246102i | ||||
\(753\) | −1.52077 | + | 9.93048i | −0.0554198 | + | 0.361887i | ||||
\(754\) | −1.12442 | + | 0.561739i | −0.0409488 | + | 0.0204573i | ||||
\(755\) | 7.04428 | + | 2.91784i | 0.256368 | + | 0.106191i | ||||
\(756\) | −34.6879 | − | 16.5663i | −1.26159 | − | 0.602509i | ||||
\(757\) | 9.28367 | + | 22.4128i | 0.337421 | + | 0.814606i | 0.997962 | + | 0.0638157i | \(0.0203270\pi\) |
−0.660541 | + | 0.750790i | \(0.729673\pi\) | |||||||
\(758\) | 18.4256 | − | 1.30329i | 0.669247 | − | 0.0473377i | ||||
\(759\) | −26.4150 | − | 35.9685i | −0.958804 | − | 1.30557i | ||||
\(760\) | −59.2724 | − | 28.0966i | −2.15004 | − | 1.01917i | ||||
\(761\) | 10.7086 | − | 39.9651i | 0.388187 | − | 1.44873i | −0.444894 | − | 0.895583i | \(-0.646759\pi\) |
0.833081 | − | 0.553151i | \(-0.186575\pi\) | |||||||
\(762\) | 15.0248 | − | 12.7596i | 0.544290 | − | 0.462233i | ||||
\(763\) | −45.7718 | − | 6.02597i | −1.65705 | − | 0.218155i | ||||
\(764\) | 41.0235 | − | 17.4912i | 1.48418 | − | 0.632808i | ||||
\(765\) | 40.0026 | + | 6.99122i | 1.44630 | + | 0.252768i | ||||
\(766\) | −13.9614 | + | 2.85213i | −0.504444 | + | 0.103052i | ||||
\(767\) | 1.56001 | − | 2.70201i | 0.0563286 | − | 0.0975641i | ||||
\(768\) | −0.561491 | − | 27.7071i | −0.0202610 | − | 0.999795i | ||||
\(769\) | 15.0816 | + | 26.1221i | 0.543857 | + | 0.941988i | 0.998678 | + | 0.0514048i | \(0.0163699\pi\) |
−0.454821 | + | 0.890583i | \(0.650297\pi\) | |||||||
\(770\) | 26.8691 | + | 30.3210i | 0.968296 | + | 1.09269i | ||||
\(771\) | 0.0271129 | − | 1.28716i | 0.000976447 | − | 0.0463561i | ||||
\(772\) | 1.14315 | − | 9.43530i | 0.0411428 | − | 0.339584i | ||||
\(773\) | 6.62853 | + | 16.0027i | 0.238412 | + | 0.575576i | 0.997119 | − | 0.0758553i | \(-0.0241687\pi\) |
−0.758707 | + | 0.651432i | \(0.774169\pi\) | |||||||
\(774\) | 1.26446 | + | 44.3653i | 0.0454501 | + | 1.59468i | ||||
\(775\) | −5.19132 | − | 5.19132i | −0.186478 | − | 0.186478i | ||||
\(776\) | 1.00508 | + | 12.3895i | 0.0360803 | + | 0.444759i | ||||
\(777\) | 3.35288 | + | 30.4026i | 0.120284 | + | 1.09069i | ||||
\(778\) | −20.4425 | + | 41.9987i | −0.732898 | + | 1.50573i | ||||
\(779\) | 4.66341 | − | 6.07747i | 0.167084 | − | 0.217748i | ||||
\(780\) | −6.91930 | − | 0.986584i | −0.247751 | − | 0.0353254i | ||||
\(781\) | −21.1180 | + | 16.2044i | −0.755663 | + | 0.579841i | ||||
\(782\) | 53.1350 | + | 35.1080i | 1.90010 | + | 1.25546i | ||||
\(783\) | −5.26904 | + | 3.53796i | −0.188300 | + | 0.126436i | ||||
\(784\) | 19.2870 | + | 18.5060i | 0.688822 | + | 0.660930i | ||||
\(785\) | −13.8290 | + | 23.9526i | −0.493580 | + | 0.854905i | ||||
\(786\) | −15.5574 | − | 14.0871i | −0.554913 | − | 0.502472i | ||||
\(787\) | −25.6340 | + | 3.37478i | −0.913752 | + | 0.120298i | −0.572717 | − | 0.819753i | \(-0.694111\pi\) |
−0.341035 | + | 0.940051i | \(0.610777\pi\) | |||||||
\(788\) | 6.47210 | − | 25.1924i | 0.230559 | − | 0.897442i | ||||
\(789\) | 20.2625 | + | 5.88938i | 0.721365 | + | 0.209668i | ||||
\(790\) | −12.4104 | + | 0.877821i | −0.441541 | + | 0.0312315i | ||||
\(791\) | −16.5444 | − | 16.5444i | −0.588250 | − | 0.588250i | ||||
\(792\) | −19.3487 | − | 13.6872i | −0.687525 | − | 0.486355i | ||||
\(793\) | −3.20382 | + | 3.20382i | −0.113771 | + | 0.113771i | ||||
\(794\) | −10.2566 | + | 11.8180i | −0.363994 | + | 0.419406i | ||||
\(795\) | 17.3098 | + | 18.0547i | 0.613914 | + | 0.640334i | ||||
\(796\) | 2.60032 | + | 18.2893i | 0.0921658 | + | 0.648247i | ||||
\(797\) | 2.42935 | + | 18.4527i | 0.0860518 | + | 0.653629i | 0.979058 | + | 0.203583i | \(0.0652588\pi\) |
−0.893006 | + | 0.450045i | \(0.851408\pi\) | |||||||
\(798\) | −63.6721 | + | 41.0956i | −2.25397 | + | 1.45477i | ||||
\(799\) | 7.34575 | + | 4.24107i | 0.259874 | + | 0.150038i | ||||
\(800\) | 3.35075 | + | 14.8325i | 0.118467 | + | 0.524407i | ||||
\(801\) | −1.62890 | + | 5.19358i | −0.0575545 | + | 0.183506i | ||||
\(802\) | 33.3747 | − | 6.81804i | 1.17850 | − | 0.240753i | ||||
\(803\) | 0.747977 | + | 0.974782i | 0.0263955 | + | 0.0343993i | ||||
\(804\) | −10.6066 | − | 18.8350i | −0.374065 | − | 0.664259i | ||||
\(805\) | 75.0576 | + | 57.5937i | 2.64543 | + | 2.02991i | ||||
\(806\) | 2.65670 | − | 0.917160i | 0.0935783 | − | 0.0323056i | ||||
\(807\) | −5.35727 | − | 7.29482i | −0.188585 | − | 0.256790i | ||||
\(808\) | −22.0230 | + | 11.2881i | −0.774768 | + | 0.397115i | ||||
\(809\) | −4.19023 | + | 4.19023i | −0.147321 | + | 0.147321i | −0.776920 | − | 0.629599i | \(-0.783219\pi\) |
0.629599 | + | 0.776920i | \(0.283219\pi\) | |||||||
\(810\) | −35.2880 | − | 0.480952i | −1.23989 | − | 0.0168989i | ||||
\(811\) | 34.8522 | − | 14.4363i | 1.22383 | − | 0.506925i | 0.325202 | − | 0.945645i | \(-0.394568\pi\) |
0.898624 | + | 0.438719i | \(0.144568\pi\) | |||||||
\(812\) | 8.70342 | − | 2.42871i | 0.305430 | − | 0.0852311i | ||||
\(813\) | 19.2293 | − | 31.7430i | 0.674402 | − | 1.11328i | ||||
\(814\) | −1.13617 | + | 18.8240i | −0.0398227 | + | 0.659779i | ||||
\(815\) | 52.6125 | − | 30.3759i | 1.84294 | − | 1.06402i | ||||
\(816\) | 32.6670 | + | 8.76707i | 1.14357 | + | 0.306909i | ||||
\(817\) | 75.7752 | + | 43.7489i | 2.65104 | + | 1.53058i | ||||
\(818\) | −4.10784 | + | 6.21710i | −0.143627 | + | 0.217376i | ||||
\(819\) | −5.18105 | + | 6.19352i | −0.181041 | + | 0.216419i | ||||
\(820\) | −5.07879 | + | 0.0524700i | −0.177359 | + | 0.00183233i | ||||
\(821\) | 0.576258 | − | 4.37712i | 0.0201116 | − | 0.152762i | −0.978442 | − | 0.206519i | \(-0.933786\pi\) |
0.998554 | + | 0.0537570i | \(0.0171196\pi\) | |||||||
\(822\) | −1.80979 | + | 2.61749i | −0.0631236 | + | 0.0912956i | ||||
\(823\) | −11.9390 | − | 3.19904i | −0.416166 | − | 0.111511i | 0.0446590 | − | 0.999002i | \(-0.485780\pi\) |
−0.460825 | + | 0.887491i | \(0.652447\pi\) | |||||||
\(824\) | 9.89562 | + | 27.7321i | 0.344730 | + | 0.966093i | ||||
\(825\) | 11.9072 | + | 5.22858i | 0.414557 | + | 0.182036i | ||||
\(826\) | −14.7015 | + | 16.9396i | −0.511531 | + | 0.589404i | ||||
\(827\) | 2.22929 | − | 0.923401i | 0.0775199 | − | 0.0321098i | −0.343587 | − | 0.939121i | \(-0.611642\pi\) |
0.421106 | + | 0.907011i | \(0.361642\pi\) | |||||||
\(828\) | −50.4343 | − | 22.7947i | −1.75271 | − | 0.792172i | ||||
\(829\) | 6.14466 | − | 14.8345i | 0.213413 | − | 0.515225i | −0.780530 | − | 0.625118i | \(-0.785051\pi\) |
0.993943 | + | 0.109893i | \(0.0350509\pi\) | |||||||
\(830\) | −30.4886 | − | 10.1742i | −1.05827 | − | 0.353150i | ||||
\(831\) | 17.6046 | − | 21.9688i | 0.610695 | − | 0.762090i | ||||
\(832\) | −5.66696 | − | 1.33170i | −0.196466 | − | 0.0461685i | ||||
\(833\) | −28.2521 | + | 16.3114i | −0.978878 | + | 0.565156i | ||||
\(834\) | −2.26166 | − | 45.6026i | −0.0783148 | − | 1.57909i | ||||
\(835\) | 20.6910 | − | 15.8768i | 0.716043 | − | 0.549439i | ||||
\(836\) | −42.9797 | + | 18.3252i | −1.48648 | + | 0.633791i | ||||
\(837\) | 12.7137 | − | 6.30557i | 0.439449 | − | 0.217952i | ||||
\(838\) | −7.60145 | + | 39.2742i | −0.262588 | + | 1.35671i | ||||
\(839\) | −0.148320 | − | 0.553538i | −0.00512058 | − | 0.0191103i | 0.963318 | − | 0.268362i | \(-0.0864822\pi\) |
−0.968439 | + | 0.249251i | \(0.919816\pi\) | |||||||
\(840\) | 47.4882 | + | 16.4153i | 1.63850 | + | 0.566383i | ||||
\(841\) | −7.11963 | + | 26.5708i | −0.245505 | + | 0.916236i | ||||
\(842\) | −21.8213 | − | 10.6213i | −0.752010 | − | 0.366033i | ||||
\(843\) | −4.12784 | + | 14.2019i | −0.142170 | + | 0.489140i | ||||
\(844\) | 28.1708 | + | 15.8787i | 0.969680 | + | 0.546567i | ||||
\(845\) | 13.2322 | − | 31.9455i | 0.455203 | − | 1.09896i | ||||
\(846\) | −6.88790 | − | 2.62575i | −0.236811 | − | 0.0902751i | ||||
\(847\) | −11.8310 | −0.406517 | ||||||||
\(848\) | 13.0207 | + | 16.2619i | 0.447132 | + | 0.558435i | ||||
\(849\) | 1.61912 | + | 4.15427i | 0.0555681 | + | 0.142574i | ||||
\(850\) | −18.5252 | − | 1.11814i | −0.635410 | − | 0.0383518i | ||||
\(851\) | 5.74818 | + | 43.6618i | 0.197045 | + | 1.49671i | ||||
\(852\) | −12.9601 | + | 30.3629i | −0.444007 | + | 1.04022i | ||||
\(853\) | −21.6311 | − | 2.84779i | −0.740636 | − | 0.0975066i | −0.249239 | − | 0.968442i | \(-0.580180\pi\) |
−0.491397 | + | 0.870935i | \(0.663514\pi\) | |||||||
\(854\) | 26.9889 | − | 18.2358i | 0.923543 | − | 0.624016i | ||||
\(855\) | −37.2931 | + | 58.7341i | −1.27540 | + | 2.00866i | ||||
\(856\) | −28.9268 | − | 18.6865i | −0.988699 | − | 0.638691i | ||||
\(857\) | 47.8919 | − | 12.8326i | 1.63596 | − | 0.438353i | 0.680323 | − | 0.732913i | \(-0.261840\pi\) |
0.955633 | + | 0.294559i | \(0.0951729\pi\) | |||||||
\(858\) | −3.79473 | + | 3.22264i | −0.129550 | + | 0.110019i | ||||
\(859\) | −2.08106 | + | 2.71209i | −0.0710048 | + | 0.0925352i | −0.827505 | − | 0.561458i | \(-0.810241\pi\) |
0.756501 | + | 0.653993i | \(0.226907\pi\) | |||||||
\(860\) | −8.16597 | − | 57.4352i | −0.278457 | − | 1.95852i | ||||
\(861\) | −3.04033 | + | 5.01886i | −0.103614 | + | 0.171042i | ||||
\(862\) | 12.9567 | + | 4.32371i | 0.441308 | + | 0.147266i | ||||
\(863\) | −19.5736 | −0.666294 | −0.333147 | − | 0.942875i | \(-0.608111\pi\) | ||||
−0.333147 | + | 0.942875i | \(0.608111\pi\) | |||||||
\(864\) | −29.2387 | − | 3.01653i | −0.994720 | − | 0.102625i | ||||
\(865\) | 15.2112 | 0.517197 | ||||||||
\(866\) | −41.9711 | − | 14.0059i | −1.42624 | − | 0.475940i | ||||
\(867\) | −6.13224 | + | 10.1229i | −0.208262 | + | 0.343790i | ||||
\(868\) | −20.0037 | + | 2.84407i | −0.678970 | + | 0.0965340i | ||||
\(869\) | −5.39487 | + | 7.03073i | −0.183008 | + | 0.238501i | ||||
\(870\) | 6.32312 | − | 5.36984i | 0.214374 | − | 0.182055i | ||||
\(871\) | −4.38594 | + | 1.17521i | −0.148612 | + | 0.0398204i | ||||
\(872\) | −34.5124 | + | 7.42267i | −1.16874 | + | 0.251363i | ||||
\(873\) | 13.1726 | + | 0.555182i | 0.445824 | + | 0.0187901i | ||||
\(874\) | −90.4075 | + | 61.0862i | −3.05808 | + | 2.06627i | ||||
\(875\) | 23.5086 | + | 3.09496i | 0.794734 | + | 0.104629i | ||||
\(876\) | 1.40151 | + | 0.598223i | 0.0473527 | + | 0.0202121i | ||||
\(877\) | −6.15843 | − | 46.7779i | −0.207956 | − | 1.57958i | −0.703307 | − | 0.710886i | \(-0.748294\pi\) |
0.495351 | − | 0.868693i | \(-0.335039\pi\) | |||||||
\(878\) | 11.2223 | + | 0.677350i | 0.378734 | + | 0.0228595i | ||||
\(879\) | 4.85809 | + | 12.4647i | 0.163859 | + | 0.420423i | ||||
\(880\) | 27.1424 | + | 14.9317i | 0.914972 | + | 0.503346i | ||||
\(881\) | 33.0517 | 1.11354 | 0.556771 | − | 0.830666i | \(-0.312040\pi\) | ||||
0.556771 | + | 0.830666i | \(0.312040\pi\) | |||||||
\(882\) | 21.9914 | − | 17.8927i | 0.740489 | − | 0.602478i | ||||
\(883\) | 17.8685 | − | 43.1383i | 0.601322 | − | 1.45172i | −0.270899 | − | 0.962608i | \(-0.587321\pi\) |
0.872221 | − | 0.489112i | \(-0.162679\pi\) | |||||||
\(884\) | 3.48866 | − | 6.18932i | 0.117336 | − | 0.208169i | ||||
\(885\) | −5.74726 | + | 19.7736i | −0.193192 | + | 0.664681i | ||||
\(886\) | −11.6042 | − | 5.64825i | −0.389852 | − | 0.189757i | ||||
\(887\) | −1.05516 | + | 3.93790i | −0.0354287 | + | 0.132222i | −0.981375 | − | 0.192101i | \(-0.938470\pi\) |
0.945946 | + | 0.324323i | \(0.105136\pi\) | |||||||
\(888\) | 10.2275 | + | 21.0337i | 0.343214 | + | 0.705844i | ||||
\(889\) | 7.70417 | + | 28.7524i | 0.258390 | + | 0.964323i | ||||
\(890\) | 1.35191 | − | 6.98487i | 0.0453161 | − | 0.234133i | ||||
\(891\) | −16.9270 | + | 18.5850i | −0.567075 | + | 0.622622i | ||||
\(892\) | 10.4467 | + | 24.5015i | 0.349781 | + | 0.820371i | ||||
\(893\) | −11.5291 | + | 8.84656i | −0.385805 | + | 0.296039i | ||||
\(894\) | 0.345754 | + | 6.97156i | 0.0115637 | + | 0.233164i | ||||
\(895\) | −48.4864 | + | 27.9936i | −1.62072 | + | 0.935723i | ||||
\(896\) | 38.1778 | + | 17.1404i | 1.27543 | + | 0.572621i | ||||
\(897\) | −7.27013 | + | 9.07243i | −0.242743 | + | 0.302920i | ||||
\(898\) | 19.5824 | + | 6.53474i | 0.653475 | + | 0.218067i | ||||
\(899\) | −1.27658 | + | 3.08194i | −0.0425763 | + | 0.102788i | ||||
\(900\) | 16.0495 | − | 1.59587i | 0.534984 | − | 0.0531958i | ||||
\(901\) | −23.4901 | + | 9.72990i | −0.782568 | + | 0.324150i | ||||
\(902\) | −2.37132 | + | 2.73232i | −0.0789564 | + | 0.0909763i | ||||
\(903\) | −61.3675 | − | 26.9470i | −2.04218 | − | 0.896740i | ||||
\(904\) | −16.1664 | − | 7.66330i | −0.537688 | − | 0.254878i | ||||
\(905\) | −14.3430 | − | 3.84320i | −0.476778 | − | 0.127752i | ||||
\(906\) | 3.83074 | − | 5.54040i | 0.127268 | − | 0.184067i | ||||
\(907\) | 6.43312 | − | 48.8644i | 0.213608 | − | 1.62252i | −0.463129 | − | 0.886291i | \(-0.653273\pi\) |
0.676737 | − | 0.736225i | \(-0.263393\pi\) | |||||||
\(908\) | 0.381541 | + | 36.9309i | 0.0126619 | + | 1.22559i | ||||
\(909\) | 9.01483 | + | 24.6521i | 0.299003 | + | 0.817657i | ||||
\(910\) | 5.81835 | − | 8.80591i | 0.192876 | − | 0.291913i | ||||
\(911\) | 45.9346 | + | 26.5203i | 1.52188 | + | 0.878658i | 0.999666 | + | 0.0258429i | \(0.00822696\pi\) |
0.522214 | + | 0.852815i | \(0.325106\pi\) | |||||||
\(912\) | −35.2944 | + | 45.9586i | −1.16872 | + | 1.52184i | ||||
\(913\) | −19.8272 | + | 11.4472i | −0.656183 | + | 0.378848i | ||||
\(914\) | −0.280310 | + | 4.64415i | −0.00927182 | + | 0.153615i | ||||
\(915\) | 15.4938 | − | 25.5766i | 0.512209 | − | 0.845535i | ||||
\(916\) | 1.24623 | + | 4.46594i | 0.0411767 | + | 0.147559i | ||||
\(917\) | 29.2808 | − | 12.1285i | 0.966937 | − | 0.400518i | ||||
\(918\) | 13.4819 | − | 33.2450i | 0.444970 | − | 1.09725i | ||||
\(919\) | 32.9703 | − | 32.9703i | 1.08759 | − | 1.08759i | 0.0918145 | − | 0.995776i | \(-0.470733\pi\) |
0.995776 | − | 0.0918145i | \(-0.0292667\pi\) | |||||||
\(920\) | 68.8552 | + | 22.1894i | 2.27009 | + | 0.731562i | ||||
\(921\) | 8.16980 | + | 11.1246i | 0.269204 | + | 0.366567i | ||||
\(922\) | 29.6531 | − | 10.2370i | 0.976573 | − | 0.337137i | ||||
\(923\) | 5.50168 | + | 4.22159i | 0.181090 | + | 0.138955i | ||||
\(924\) | 31.1853 | − | 17.5614i | 1.02592 | − | 0.577727i | ||||
\(925\) | −7.81248 | − | 10.1814i | −0.256873 | − | 0.334763i | ||||
\(926\) | 49.3440 | − | 10.0804i | 1.62154 | − | 0.331262i | ||||
\(927\) | 30.4803 | − | 6.80567i | 1.00110 | − | 0.223528i | ||||
\(928\) | 5.64387 | − | 3.98571i | 0.185269 | − | 0.130837i | ||||
\(929\) | 15.6074 | + | 9.01091i | 0.512061 | + | 0.295638i | 0.733680 | − | 0.679495i | \(-0.237801\pi\) |
−0.221620 | + | 0.975133i | \(0.571134\pi\) | |||||||
\(930\) | −15.5852 | + | 10.0591i | −0.511058 | + | 0.329850i | ||||
\(931\) | −7.29525 | − | 55.4129i | −0.239092 | − | 1.81609i | ||||
\(932\) | −39.4299 | + | 5.60603i | −1.29157 | + | 0.183632i | ||||
\(933\) | 1.20616 | + | 1.25807i | 0.0394879 | + | 0.0411872i | ||||
\(934\) | 12.6919 | − | 14.6240i | 0.415291 | − | 0.478512i | ||||
\(935\) | −26.7348 | + | 26.7348i | −0.874320 | + | 0.874320i | ||||
\(936\) | −2.13966 | + | 5.79186i | −0.0699371 | + | 0.189313i | ||||
\(937\) | −32.2924 | − | 32.2924i | −1.05495 | − | 1.05495i | −0.998400 | − | 0.0565472i | \(-0.981991\pi\) |
−0.0565472 | − | 0.998400i | \(-0.518009\pi\) | |||||||
\(938\) | 32.5611 | − | 2.30314i | 1.06316 | − | 0.0752001i | ||||
\(939\) | −25.5316 | − | 7.42085i | −0.833191 | − | 0.242170i | ||||
\(940\) | 9.33201 | + | 2.39746i | 0.304377 | + | 0.0781964i | ||||
\(941\) | 34.5452 | − | 4.54797i | 1.12614 | − | 0.148260i | 0.455638 | − | 0.890165i | \(-0.349411\pi\) |
0.670504 | + | 0.741906i | \(0.266078\pi\) | |||||||
\(942\) | 18.1118 | + | 16.4002i | 0.590114 | + | 0.534346i | ||||
\(943\) | −4.22426 | + | 7.31664i | −0.137561 | + | 0.238263i | ||||
\(944\) | −6.23457 | + | 15.9775i | −0.202918 | + | 0.520024i | ||||
\(945\) | 23.4626 | − | 47.8506i | 0.763238 | − | 1.55658i | ||||
\(946\) | −34.4768 | − | 22.7799i | −1.12094 | − | 0.740639i | ||||
\(947\) | 28.4670 | − | 21.8435i | 0.925055 | − | 0.709819i | −0.0320730 | − | 0.999486i | \(-0.510211\pi\) |
0.957128 | + | 0.289666i | \(0.0935442\pi\) | |||||||
\(948\) | −1.55144 | + | 10.8809i | −0.0503885 | + | 0.353394i | ||||
\(949\) | 0.194863 | − | 0.253951i | 0.00632553 | − | 0.00824359i | ||||
\(950\) | 13.9156 | − | 28.5894i | 0.451482 | − | 0.927562i | ||||
\(951\) | −4.22443 | − | 38.3055i | −0.136986 | − | 1.24214i | ||||
\(952\) | −33.0776 | + | 38.9182i | −1.07205 | + | 1.26134i | ||||
\(953\) | 32.3689 | + | 32.3689i | 1.04853 | + | 1.04853i | 0.998761 | + | 0.0497700i | \(0.0158488\pi\) |
0.0497700 | + | 0.998761i | \(0.484151\pi\) | |||||||
\(954\) | 18.8132 | − | 11.5887i | 0.609100 | − | 0.375198i | ||||
\(955\) | 23.6604 | + | 57.1213i | 0.765633 | + | 1.84840i | ||||
\(956\) | 1.74485 | + | 0.211400i | 0.0564326 | + | 0.00683717i | ||||
\(957\) | 0.124440 | − | 5.90768i | 0.00402257 | − | 0.190968i | ||||
\(958\) | −2.03171 | − | 2.29272i | −0.0656415 | − | 0.0740744i | ||||
\(959\) | −2.40274 | − | 4.16167i | −0.0775885 | − | 0.134387i | ||||
\(960\) | 38.4184 | − | 0.381568i | 1.23995 | − | 0.0123151i | ||||
\(961\) | −11.7704 | + | 20.3869i | −0.379691 | + | 0.657643i | ||||
\(962\) | 4.81353 | − | 0.983345i | 0.155194 | − | 0.0317043i | ||||
\(963\) | −23.4365 | + | 28.0164i | −0.755231 | + | 0.902817i | ||||
\(964\) | 1.84578 | + | 4.32907i | 0.0594487 | + | 0.139430i | ||||
\(965\) | 13.0638 | + | 1.71988i | 0.420537 | + | 0.0553648i | ||||
\(966\) | 63.7055 | − | 54.1013i | 2.04969 | − | 1.74068i | ||||
\(967\) | −14.5763 | + | 54.3995i | −0.468743 | + | 1.74937i | 0.175430 | + | 0.984492i | \(0.443868\pi\) |
−0.644173 | + | 0.764880i | \(0.722798\pi\) | |||||||
\(968\) | −8.52039 | + | 3.04032i | −0.273856 | + | 0.0977197i | ||||
\(969\) | −41.8626 | − | 57.0030i | −1.34482 | − | 1.83120i | ||||
\(970\) | −17.1900 | + | 1.21590i | −0.551938 | + | 0.0390401i | ||||
\(971\) | −13.9389 | − | 33.6514i | −0.447319 | − | 1.07992i | −0.973322 | − | 0.229442i | \(-0.926310\pi\) |
0.526003 | − | 0.850483i | \(-0.323690\pi\) | |||||||
\(972\) | −6.98231 | + | 30.3850i | −0.223958 | + | 0.974599i | ||||
\(973\) | 63.7005 | + | 26.3856i | 2.04215 | + | 0.845884i | ||||
\(974\) | −46.8448 | + | 23.4029i | −1.50100 | + | 0.749877i | ||||
\(975\) | 0.512859 | − | 3.34893i | 0.0164246 | − | 0.107252i | ||||
\(976\) | 14.7506 | − | 20.0686i | 0.472155 | − | 0.642381i | ||||
\(977\) | 9.46064 | + | 16.3863i | 0.302673 | + | 0.524244i | 0.976740 | − | 0.214425i | \(-0.0687878\pi\) |
−0.674068 | + | 0.738669i | \(0.735454\pi\) | |||||||
\(978\) | −16.4414 | − | 51.0887i | −0.525738 | − | 1.63364i | ||||
\(979\) | −3.08501 | − | 4.02047i | −0.0985974 | − | 0.128495i | ||||
\(980\) | −25.9311 | + | 26.4725i | −0.828339 | + | 0.845633i | ||||
\(981\) | 3.31974 | + | 37.2955i | 0.105991 | + | 1.19075i | ||||
\(982\) | −1.49017 | − | 2.20545i | −0.0475532 | − | 0.0703787i | ||||
\(983\) | −54.1368 | + | 14.5059i | −1.72670 | + | 0.462667i | −0.979418 | − | 0.201844i | \(-0.935306\pi\) |
−0.747278 | + | 0.664511i | \(0.768640\pi\) | |||||||
\(984\) | −0.899831 | + | 4.39577i | −0.0286856 | + | 0.140132i | ||||
\(985\) | 34.8315 | + | 9.33307i | 1.10982 | + | 0.297376i | ||||
\(986\) | 2.75182 | + | 7.97110i | 0.0876360 | + | 0.253852i | ||||
\(987\) | 8.03521 | − | 7.70368i | 0.255763 | − | 0.245211i | ||||
\(988\) | 7.50943 | + | 9.57992i | 0.238907 | + | 0.304778i | ||||
\(989\) | −89.1532 | − | 36.9285i | −2.83491 | − | 1.17426i | ||||
\(990\) | 19.2517 | − | 26.6270i | 0.611859 | − | 0.846262i | ||||
\(991\) | 32.1444i | 1.02110i | 0.859848 | + | 0.510550i | \(0.170558\pi\) | ||||
−0.859848 | + | 0.510550i | \(0.829442\pi\) | |||||||
\(992\) | −13.6754 | + | 7.18879i | −0.434193 | + | 0.228244i | ||||
\(993\) | −31.4181 | − | 25.1767i | −0.997024 | − | 0.798959i | ||||
\(994\) | −33.0636 | − | 37.3112i | −1.04871 | − | 1.18344i | ||||
\(995\) | −25.3917 | + | 3.34287i | −0.804969 | + | 0.105976i | ||||
\(996\) | −14.4601 | + | 24.4364i | −0.458187 | + | 0.774296i | ||||
\(997\) | 6.90125 | − | 52.4202i | 0.218565 | − | 1.66016i | −0.432868 | − | 0.901457i | \(-0.642498\pi\) |
0.651433 | − | 0.758706i | \(-0.274168\pi\) | |||||||
\(998\) | −1.58475 | + | 8.18788i | −0.0501643 | + | 0.259183i | ||||
\(999\) | 23.4725 | − | 8.02723i | 0.742637 | − | 0.253970i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 288.2.bf.a.83.18 | yes | 368 | |
3.2 | odd | 2 | 864.2.bn.a.467.29 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.179.14 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.275.33 | yes | 368 | |
32.27 | odd | 8 | inner | 288.2.bf.a.155.33 | yes | 368 | |
96.59 | even | 8 | 864.2.bn.a.251.14 | 368 | |||
288.59 | even | 24 | inner | 288.2.bf.a.59.18 | ✓ | 368 | |
288.283 | odd | 24 | 864.2.bn.a.827.29 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.59.18 | ✓ | 368 | 288.59 | even | 24 | inner | |
288.2.bf.a.83.18 | yes | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.155.33 | yes | 368 | 32.27 | odd | 8 | inner | |
288.2.bf.a.275.33 | yes | 368 | 9.5 | odd | 6 | inner | |
864.2.bn.a.179.14 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.251.14 | 368 | 96.59 | even | 8 | |||
864.2.bn.a.467.29 | 368 | 3.2 | odd | 2 | |||
864.2.bn.a.827.29 | 368 | 288.283 | odd | 24 |