Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(301,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.k (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.214798336.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} - 2x^{5} + 9x^{4} - 4x^{3} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 301.6 | ||
Root | \(-0.565036 - 1.29643i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.301 |
Dual form | 600.2.k.e.301.5 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.16863 | + | 0.796431i | 0.826347 | + | 0.563162i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.731395 | + | 1.86147i | 0.365697 | + | 0.930734i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.796431 | + | 1.16863i | −0.325142 | + | 0.477091i | ||||
\(7\) | −4.72294 | −1.78510 | −0.892551 | − | 0.450947i | \(-0.851086\pi\) | ||||
−0.892551 | + | 0.450947i | \(0.851086\pi\) | |||||||
\(8\) | −0.627801 | + | 2.75787i | −0.221961 | + | 0.975056i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.93012i | 1.18498i | 0.805579 | + | 0.592488i | \(0.201854\pi\) | ||||
−0.805579 | + | 0.592488i | \(0.798146\pi\) | |||||||
\(12\) | −1.86147 | + | 0.731395i | −0.537359 | + | 0.211135i | ||||
\(13\) | − | 3.46733i | − | 0.961665i | −0.876812 | − | 0.480833i | \(-0.840334\pi\) | ||
0.876812 | − | 0.480833i | \(-0.159666\pi\) | |||||||
\(14\) | −5.51937 | − | 3.76149i | −1.47511 | − | 1.00530i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.93012 | + | 2.72294i | −0.732531 | + | 0.680734i | ||||
\(17\) | −3.51575 | −0.852694 | −0.426347 | − | 0.904560i | \(-0.640200\pi\) | ||||
−0.426347 | + | 0.904560i | \(0.640200\pi\) | |||||||
\(18\) | −1.16863 | − | 0.796431i | −0.275449 | − | 0.187721i | ||||
\(19\) | 5.44133i | 1.24833i | 0.781294 | + | 0.624163i | \(0.214560\pi\) | ||||
−0.781294 | + | 0.624163i | \(0.785440\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 4.72294i | − | 1.03063i | ||||||
\(22\) | −3.13007 | + | 4.59286i | −0.667334 | + | 0.979202i | ||||
\(23\) | 7.11585 | 1.48376 | 0.741878 | − | 0.670534i | \(-0.233935\pi\) | ||||
0.741878 | + | 0.670534i | \(0.233935\pi\) | |||||||
\(24\) | −2.75787 | − | 0.627801i | −0.562949 | − | 0.128149i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.76149 | − | 4.05203i | 0.541573 | − | 0.794669i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −3.45433 | − | 8.79159i | −0.652807 | − | 1.66145i | ||||
\(29\) | 3.66998i | 0.681498i | 0.940154 | + | 0.340749i | \(0.110681\pi\) | ||||
−0.940154 | + | 0.340749i | \(0.889319\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.23414 | 0.940079 | 0.470039 | − | 0.882645i | \(-0.344240\pi\) | ||||
0.470039 | + | 0.882645i | \(0.344240\pi\) | |||||||
\(32\) | −5.59286 | + | 0.848464i | −0.988688 | + | 0.149989i | ||||
\(33\) | −3.93012 | −0.684147 | ||||||||
\(34\) | −4.10861 | − | 2.80005i | −0.704621 | − | 0.480205i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.731395 | − | 1.86147i | −0.121899 | − | 0.310245i | ||||
\(37\) | − | 0.414376i | − | 0.0681231i | −0.999420 | − | 0.0340615i | \(-0.989156\pi\) | ||
0.999420 | − | 0.0340615i | \(-0.0108442\pi\) | |||||||
\(38\) | −4.33364 | + | 6.35890i | −0.703010 | + | 1.03155i | ||||
\(39\) | 3.46733 | 0.555218 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.00454 | 0.469231 | 0.234616 | − | 0.972088i | \(-0.424617\pi\) | ||||
0.234616 | + | 0.972088i | \(0.424617\pi\) | |||||||
\(42\) | 3.76149 | − | 5.51937i | 0.580411 | − | 0.851657i | ||||
\(43\) | 5.34450i | 0.815029i | 0.913199 | + | 0.407514i | \(0.133604\pi\) | ||||
−0.913199 | + | 0.407514i | \(0.866396\pi\) | |||||||
\(44\) | −7.31580 | + | 2.87447i | −1.10290 | + | 0.433343i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.31580 | + | 5.66728i | 1.22610 | + | 0.835595i | ||||
\(47\) | 0.925579 | 0.135010 | 0.0675048 | − | 0.997719i | \(-0.478496\pi\) | ||||
0.0675048 | + | 0.997719i | \(0.478496\pi\) | |||||||
\(48\) | −2.72294 | − | 2.93012i | −0.393022 | − | 0.422927i | ||||
\(49\) | 15.3061 | 2.18659 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 3.51575i | − | 0.492303i | ||||||
\(52\) | 6.45433 | − | 2.53599i | 0.895055 | − | 0.351679i | ||||
\(53\) | − | 0.233196i | − | 0.0320320i | −0.999872 | − | 0.0160160i | \(-0.994902\pi\) | ||
0.999872 | − | 0.0160160i | \(-0.00509826\pi\) | |||||||
\(54\) | 0.796431 | − | 1.16863i | 0.108381 | − | 0.159030i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.96506 | − | 13.0253i | 0.396223 | − | 1.74057i | ||||
\(57\) | −5.44133 | −0.720721 | ||||||||
\(58\) | −2.92288 | + | 4.28885i | −0.383794 | + | 0.563153i | ||||
\(59\) | − | 14.3805i | − | 1.87219i | −0.351752 | − | 0.936093i | \(-0.614414\pi\) | ||
0.351752 | − | 0.936093i | \(-0.385586\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.118290i | 0.0151454i | 0.999971 | + | 0.00757271i | \(0.00241049\pi\) | ||||
−0.999971 | + | 0.00757271i | \(0.997590\pi\) | |||||||
\(62\) | 6.11677 | + | 4.16863i | 0.776831 | + | 0.529417i | ||||
\(63\) | 4.72294 | 0.595034 | ||||||||
\(64\) | −7.21173 | − | 3.46279i | −0.901467 | − | 0.432849i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.59286 | − | 3.13007i | −0.565342 | − | 0.385285i | ||||
\(67\) | 13.4504i | 1.64323i | 0.570043 | + | 0.821615i | \(0.306927\pi\) | ||||
−0.570043 | + | 0.821615i | \(0.693073\pi\) | |||||||
\(68\) | −2.57140 | − | 6.54445i | −0.311828 | − | 0.793631i | ||||
\(69\) | 7.11585i | 0.856647i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.19027 | 0.259937 | 0.129969 | − | 0.991518i | \(-0.458512\pi\) | ||||
0.129969 | + | 0.991518i | \(0.458512\pi\) | |||||||
\(72\) | 0.627801 | − | 2.75787i | 0.0739870 | − | 0.325019i | ||||
\(73\) | 0.563219 | 0.0659197 | 0.0329599 | − | 0.999457i | \(-0.489507\pi\) | ||||
0.0329599 | + | 0.999457i | \(0.489507\pi\) | |||||||
\(74\) | 0.330022 | − | 0.484253i | 0.0383643 | − | 0.0562933i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.1289 | + | 3.97976i | −1.16186 | + | 0.456509i | ||||
\(77\) | − | 18.5617i | − | 2.11530i | ||||||
\(78\) | 4.05203 | + | 2.76149i | 0.458802 | + | 0.312678i | ||||
\(79\) | −10.2746 | −1.15599 | −0.577993 | − | 0.816042i | \(-0.696164\pi\) | ||||
−0.577993 | + | 0.816042i | \(0.696164\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 3.51120 | + | 2.39291i | 0.387747 | + | 0.264253i | ||||
\(83\) | 11.3490i | 1.24572i | 0.782334 | + | 0.622860i | \(0.214029\pi\) | ||||
−0.782334 | + | 0.622860i | \(0.785971\pi\) | |||||||
\(84\) | 8.79159 | − | 3.45433i | 0.959241 | − | 0.376898i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.25653 | + | 6.24575i | −0.458993 | + | 0.673496i | ||||
\(87\) | −3.66998 | −0.393463 | ||||||||
\(88\) | −10.8388 | − | 2.46733i | −1.15542 | − | 0.263019i | ||||
\(89\) | 8.88265 | 0.941559 | 0.470780 | − | 0.882251i | \(-0.343973\pi\) | ||||
0.470780 | + | 0.882251i | \(0.343973\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 16.3760i | 1.71667i | ||||||||
\(92\) | 5.20449 | + | 13.2459i | 0.542606 | + | 1.38098i | ||||
\(93\) | 5.23414i | 0.542755i | ||||||||
\(94\) | 1.08166 | + | 0.737160i | 0.111565 | + | 0.0760322i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.848464 | − | 5.59286i | −0.0865960 | − | 0.570819i | ||||
\(97\) | −7.27462 | −0.738626 | −0.369313 | − | 0.929305i | \(-0.620407\pi\) | ||||
−0.369313 | + | 0.929305i | \(0.620407\pi\) | |||||||
\(98\) | 17.8872 | + | 12.1903i | 1.80688 | + | 1.23140i | ||||
\(99\) | − | 3.93012i | − | 0.394992i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 4.23320i | − | 0.421219i | −0.977570 | − | 0.210609i | \(-0.932455\pi\) | ||
0.977570 | − | 0.210609i | \(-0.0675448\pi\) | |||||||
\(102\) | 2.80005 | − | 4.10861i | 0.277246 | − | 0.406813i | ||||
\(103\) | −0.0429270 | −0.00422972 | −0.00211486 | − | 0.999998i | \(-0.500673\pi\) | ||||
−0.00211486 | + | 0.999998i | \(0.500673\pi\) | |||||||
\(104\) | 9.56247 | + | 2.17679i | 0.937677 | + | 0.213452i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.185725 | − | 0.272520i | 0.0180392 | − | 0.0264695i | ||||
\(107\) | − | 15.4728i | − | 1.49581i | −0.663804 | − | 0.747907i | \(-0.731059\pi\) | ||
0.663804 | − | 0.747907i | \(-0.268941\pi\) | |||||||
\(108\) | 1.86147 | − | 0.731395i | 0.179120 | − | 0.0703785i | ||||
\(109\) | 12.9561i | 1.24097i | 0.784217 | + | 0.620486i | \(0.213065\pi\) | ||||
−0.784217 | + | 0.620486i | \(0.786935\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.414376 | 0.0393309 | ||||||||
\(112\) | 13.8388 | − | 12.8602i | 1.30764 | − | 1.21518i | ||||
\(113\) | −3.86025 | −0.363141 | −0.181571 | − | 0.983378i | \(-0.558118\pi\) | ||||
−0.181571 | + | 0.983378i | \(0.558118\pi\) | |||||||
\(114\) | −6.35890 | − | 4.33364i | −0.595566 | − | 0.405883i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −6.83154 | + | 2.68420i | −0.634293 | + | 0.249222i | ||||
\(117\) | 3.46733i | 0.320555i | ||||||||
\(118\) | 11.4531 | − | 16.8055i | 1.05434 | − | 1.54708i | ||||
\(119\) | 16.6046 | 1.52215 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.44587 | −0.404170 | ||||||||
\(122\) | −0.0942095 | + | 0.138237i | −0.00852933 | + | 0.0125154i | ||||
\(123\) | 3.00454i | 0.270911i | ||||||||
\(124\) | 3.82822 | + | 9.74318i | 0.343784 | + | 0.874963i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 5.51937 | + | 3.76149i | 0.491704 | + | 0.335100i | ||||
\(127\) | 18.3805 | 1.63101 | 0.815505 | − | 0.578751i | \(-0.196460\pi\) | ||||
0.815505 | + | 0.578751i | \(0.196460\pi\) | |||||||
\(128\) | −5.66998 | − | 9.79037i | −0.501160 | − | 0.865355i | ||||
\(129\) | −5.34450 | −0.470557 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.41892i | 0.298713i | 0.988783 | + | 0.149356i | \(0.0477201\pi\) | ||||
−0.988783 | + | 0.149356i | \(0.952280\pi\) | |||||||
\(132\) | −2.87447 | − | 7.31580i | −0.250191 | − | 0.636758i | ||||
\(133\) | − | 25.6990i | − | 2.22839i | ||||||
\(134\) | −10.7123 | + | 15.7186i | −0.925404 | + | 1.35788i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.20719 | − | 9.69599i | 0.189265 | − | 0.831424i | ||||
\(137\) | 16.3714 | 1.39871 | 0.699354 | − | 0.714776i | \(-0.253471\pi\) | ||||
0.699354 | + | 0.714776i | \(0.253471\pi\) | |||||||
\(138\) | −5.66728 | + | 8.31580i | −0.482431 | + | 0.707888i | ||||
\(139\) | 1.95707i | 0.165997i | 0.996550 | + | 0.0829984i | \(0.0264496\pi\) | ||||
−0.996550 | + | 0.0829984i | \(0.973550\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.925579i | 0.0779478i | ||||||||
\(142\) | 2.55962 | + | 1.74440i | 0.214798 | + | 0.146387i | ||||
\(143\) | 13.6271 | 1.13955 | ||||||||
\(144\) | 2.93012 | − | 2.72294i | 0.244177 | − | 0.226911i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.658194 | + | 0.448565i | 0.0544726 | + | 0.0371235i | ||||
\(147\) | 15.3061i | 1.26243i | ||||||||
\(148\) | 0.771348 | − | 0.303073i | 0.0634044 | − | 0.0249124i | ||||
\(149\) | − | 12.0968i | − | 0.991011i | −0.868605 | − | 0.495505i | \(-0.834983\pi\) | ||
0.868605 | − | 0.495505i | \(-0.165017\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.87178 | −0.396460 | −0.198230 | − | 0.980156i | \(-0.563519\pi\) | ||||
−0.198230 | + | 0.980156i | \(0.563519\pi\) | |||||||
\(152\) | −15.0065 | − | 3.41607i | −1.21719 | − | 0.277080i | ||||
\(153\) | 3.51575 | 0.284231 | ||||||||
\(154\) | 14.7831 | − | 21.6918i | 1.19126 | − | 1.74797i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.53599 | + | 6.45433i | 0.203042 | + | 0.516760i | ||||
\(157\) | 21.6561i | 1.72835i | 0.503195 | + | 0.864173i | \(0.332158\pi\) | ||||
−0.503195 | + | 0.864173i | \(0.667842\pi\) | |||||||
\(158\) | −12.0072 | − | 8.18303i | −0.955245 | − | 0.651007i | ||||
\(159\) | 0.233196 | 0.0184937 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −33.6077 | −2.64866 | ||||||||
\(162\) | 1.16863 | + | 0.796431i | 0.0918163 | + | 0.0625735i | ||||
\(163\) | 16.2362i | 1.27172i | 0.771804 | + | 0.635860i | \(0.219355\pi\) | ||||
−0.771804 | + | 0.635860i | \(0.780645\pi\) | |||||||
\(164\) | 2.19751 | + | 5.59286i | 0.171597 | + | 0.436729i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.03873 | + | 13.2628i | −0.701542 | + | 1.02940i | ||||
\(167\) | 6.69238 | 0.517872 | 0.258936 | − | 0.965894i | \(-0.416628\pi\) | ||||
0.258936 | + | 0.965894i | \(0.416628\pi\) | |||||||
\(168\) | 13.0253 | + | 2.96506i | 1.00492 | + | 0.228759i | ||||
\(169\) | 0.977595 | 0.0751996 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 5.44133i | − | 0.416109i | ||||||
\(172\) | −9.94861 | + | 3.90894i | −0.758575 | + | 0.298054i | ||||
\(173\) | − | 22.4220i | − | 1.70471i | −0.522963 | − | 0.852355i | \(-0.675173\pi\) | ||
0.522963 | − | 0.852355i | \(-0.324827\pi\) | |||||||
\(174\) | −4.28885 | − | 2.92288i | −0.325137 | − | 0.221583i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.7015 | − | 11.5157i | −0.806654 | − | 0.868032i | ||||
\(177\) | 14.3805 | 1.08091 | ||||||||
\(178\) | 10.3805 | + | 7.07442i | 0.778054 | + | 0.530250i | ||||
\(179\) | 0.148842i | 0.0111250i | 0.999985 | + | 0.00556249i | \(0.00177060\pi\) | ||||
−0.999985 | + | 0.00556249i | \(0.998229\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 10.3929i | − | 0.772499i | −0.922394 | − | 0.386250i | \(-0.873770\pi\) | ||
0.922394 | − | 0.386250i | \(-0.126230\pi\) | |||||||
\(182\) | −13.0424 | + | 19.1375i | −0.966763 | + | 1.41856i | ||||
\(183\) | −0.118290 | −0.00874422 | ||||||||
\(184\) | −4.46733 | + | 19.6246i | −0.329336 | + | 1.44675i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −4.16863 | + | 6.11677i | −0.305659 | + | 0.448504i | ||||
\(187\) | − | 13.8173i | − | 1.01042i | ||||||
\(188\) | 0.676964 | + | 1.72294i | 0.0493726 | + | 0.125658i | ||||
\(189\) | 4.72294i | 0.343543i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.23320 | 0.451018 | 0.225509 | − | 0.974241i | \(-0.427595\pi\) | ||||
0.225509 | + | 0.974241i | \(0.427595\pi\) | |||||||
\(192\) | 3.46279 | − | 7.21173i | 0.249905 | − | 0.520462i | ||||
\(193\) | 0.391971 | 0.0282147 | 0.0141074 | − | 0.999900i | \(-0.495509\pi\) | ||||
0.0141074 | + | 0.999900i | \(0.495509\pi\) | |||||||
\(194\) | −8.50135 | − | 5.79374i | −0.610361 | − | 0.415966i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 11.1948 | + | 28.4918i | 0.799630 | + | 2.03513i | ||||
\(197\) | − | 5.96616i | − | 0.425071i | −0.977153 | − | 0.212536i | \(-0.931828\pi\) | ||
0.977153 | − | 0.212536i | \(-0.0681722\pi\) | |||||||
\(198\) | 3.13007 | − | 4.59286i | 0.222445 | − | 0.326401i | ||||
\(199\) | −17.9322 | −1.27118 | −0.635591 | − | 0.772026i | \(-0.719243\pi\) | ||||
−0.635591 | + | 0.772026i | \(0.719243\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.4504 | −0.948719 | ||||||||
\(202\) | 3.37145 | − | 4.94704i | 0.237214 | − | 0.348073i | ||||
\(203\) | − | 17.3331i | − | 1.21654i | ||||||
\(204\) | 6.54445 | − | 2.57140i | 0.458203 | − | 0.180034i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.0501658 | − | 0.0341884i | −0.00349521 | − | 0.00238202i | ||||
\(207\) | −7.11585 | −0.494586 | ||||||||
\(208\) | 9.44133 | + | 10.1597i | 0.654638 | + | 0.704450i | ||||
\(209\) | −21.3851 | −1.47924 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 6.51575i | − | 0.448563i | −0.974524 | − | 0.224281i | \(-0.927997\pi\) | ||
0.974524 | − | 0.224281i | \(-0.0720034\pi\) | |||||||
\(212\) | 0.434087 | − | 0.170558i | 0.0298132 | − | 0.0117140i | ||||
\(213\) | 2.19027i | 0.150075i | ||||||||
\(214\) | 12.3230 | − | 18.0820i | 0.842385 | − | 1.23606i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.75787 | + | 0.627801i | 0.187650 | + | 0.0427164i | ||||
\(217\) | −24.7205 | −1.67814 | ||||||||
\(218\) | −10.3187 | + | 15.1409i | −0.698868 | + | 1.02547i | ||||
\(219\) | 0.563219i | 0.0380588i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 12.1903i | 0.820006i | ||||||||
\(222\) | 0.484253 | + | 0.330022i | 0.0325009 | + | 0.0221496i | ||||
\(223\) | −3.14640 | −0.210699 | −0.105349 | − | 0.994435i | \(-0.533596\pi\) | ||||
−0.105349 | + | 0.994435i | \(0.533596\pi\) | |||||||
\(224\) | 26.4147 | − | 4.00724i | 1.76491 | − | 0.267745i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.51120 | − | 3.07442i | −0.300081 | − | 0.204507i | ||||
\(227\) | 3.92103i | 0.260248i | 0.991498 | + | 0.130124i | \(0.0415376\pi\) | ||||
−0.991498 | + | 0.130124i | \(0.958462\pi\) | |||||||
\(228\) | −3.97976 | − | 10.1289i | −0.263566 | − | 0.670800i | ||||
\(229\) | − | 25.6899i | − | 1.69764i | −0.528683 | − | 0.848820i | \(-0.677314\pi\) | ||
0.528683 | − | 0.848820i | \(-0.322686\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 18.5617 | 1.22127 | ||||||||
\(232\) | −10.1213 | − | 2.30401i | −0.664498 | − | 0.151266i | ||||
\(233\) | −25.7565 | −1.68737 | −0.843683 | − | 0.536841i | \(-0.819617\pi\) | ||||
−0.843683 | + | 0.536841i | \(0.819617\pi\) | |||||||
\(234\) | −2.76149 | + | 4.05203i | −0.180524 | + | 0.264890i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 26.7689 | − | 10.5179i | 1.74251 | − | 0.684654i | ||||
\(237\) | − | 10.2746i | − | 0.667409i | ||||||
\(238\) | 19.4047 | + | 13.2245i | 1.25782 | + | 0.857214i | ||||
\(239\) | −15.8727 | −1.02672 | −0.513360 | − | 0.858173i | \(-0.671600\pi\) | ||||
−0.513360 | + | 0.858173i | \(0.671600\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.1664 | 1.81436 | 0.907178 | − | 0.420748i | \(-0.138232\pi\) | ||||
0.907178 | + | 0.420748i | \(0.138232\pi\) | |||||||
\(242\) | −5.19558 | − | 3.54083i | −0.333985 | − | 0.227613i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −0.220192 | + | 0.0865164i | −0.0140964 | + | 0.00553864i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.39291 | + | 3.51120i | −0.152567 | + | 0.223866i | ||||
\(247\) | 18.8669 | 1.20047 | ||||||||
\(248\) | −3.28600 | + | 14.4351i | −0.208661 | + | 0.916629i | ||||
\(249\) | −11.3490 | −0.719216 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.66004i | 0.294139i | 0.989126 | + | 0.147070i | \(0.0469842\pi\) | ||||
−0.989126 | + | 0.147070i | \(0.953016\pi\) | |||||||
\(252\) | 3.45433 | + | 8.79159i | 0.217602 | + | 0.553818i | ||||
\(253\) | 27.9662i | 1.75822i | ||||||||
\(254\) | 21.4801 | + | 14.6388i | 1.34778 | + | 0.918522i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.17125 | − | 15.9571i | 0.0732029 | − | 0.997317i | ||||
\(257\) | 3.33996 | 0.208341 | 0.104170 | − | 0.994559i | \(-0.466781\pi\) | ||||
0.104170 | + | 0.994559i | \(0.466781\pi\) | |||||||
\(258\) | −6.24575 | − | 4.25653i | −0.388843 | − | 0.265000i | ||||
\(259\) | 1.95707i | 0.121607i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | − | 3.66998i | − | 0.227166i | ||||||
\(262\) | −2.72294 | + | 3.99546i | −0.168224 | + | 0.246840i | ||||
\(263\) | −27.5932 | −1.70147 | −0.850735 | − | 0.525595i | \(-0.823843\pi\) | ||||
−0.850735 | + | 0.525595i | \(0.823843\pi\) | |||||||
\(264\) | 2.46733 | − | 10.8388i | 0.151854 | − | 0.667081i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 20.4675 | − | 30.0327i | 1.25494 | − | 1.84142i | ||||
\(267\) | 8.88265i | 0.543609i | ||||||||
\(268\) | −25.0375 | + | 9.83756i | −1.52941 | + | 0.600925i | ||||
\(269\) | 21.8727i | 1.33360i | 0.745235 | + | 0.666802i | \(0.232337\pi\) | ||||
−0.745235 | + | 0.666802i | \(0.767663\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.78583 | −0.533701 | −0.266850 | − | 0.963738i | \(-0.585983\pi\) | ||||
−0.266850 | + | 0.963738i | \(0.585983\pi\) | |||||||
\(272\) | 10.3016 | − | 9.57315i | 0.624625 | − | 0.580458i | ||||
\(273\) | −16.3760 | −0.991120 | ||||||||
\(274\) | 19.1322 | + | 13.0387i | 1.15582 | + | 0.787699i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −13.2459 | + | 5.20449i | −0.797311 | + | 0.313274i | ||||
\(277\) | 10.3838i | 0.623904i | 0.950098 | + | 0.311952i | \(0.100983\pi\) | ||||
−0.950098 | + | 0.311952i | \(0.899017\pi\) | |||||||
\(278\) | −1.55867 | + | 2.28710i | −0.0934831 | + | 0.137171i | ||||
\(279\) | −5.23414 | −0.313360 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.0584 | 1.01762 | 0.508811 | − | 0.860878i | \(-0.330085\pi\) | ||||
0.508811 | + | 0.860878i | \(0.330085\pi\) | |||||||
\(282\) | −0.737160 | + | 1.08166i | −0.0438972 | + | 0.0644119i | ||||
\(283\) | 3.54724i | 0.210862i | 0.994427 | + | 0.105431i | \(0.0336222\pi\) | ||||
−0.994427 | + | 0.105431i | \(0.966378\pi\) | |||||||
\(284\) | 1.60195 | + | 4.07712i | 0.0950583 | + | 0.241932i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.9250 | + | 10.8530i | 0.941664 | + | 0.641752i | ||||
\(287\) | −14.1903 | −0.837625 | ||||||||
\(288\) | 5.59286 | − | 0.848464i | 0.329563 | − | 0.0499962i | ||||
\(289\) | −4.63952 | −0.272913 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 7.27462i | − | 0.426446i | ||||||
\(292\) | 0.411935 | + | 1.04841i | 0.0241067 | + | 0.0613537i | ||||
\(293\) | − | 5.72538i | − | 0.334480i | −0.985916 | − | 0.167240i | \(-0.946515\pi\) | ||
0.985916 | − | 0.167240i | \(-0.0534855\pi\) | |||||||
\(294\) | −12.1903 | + | 17.8872i | −0.710951 | + | 1.04320i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.14280 | + | 0.260146i | 0.0664238 | + | 0.0151207i | ||||
\(297\) | 3.93012 | 0.228049 | ||||||||
\(298\) | 9.63429 | − | 14.1367i | 0.558099 | − | 0.818918i | ||||
\(299\) | − | 24.6730i | − | 1.42688i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 25.2417i | − | 1.45491i | ||||||
\(302\) | −5.69331 | − | 3.88004i | −0.327613 | − | 0.223271i | ||||
\(303\) | 4.23320 | 0.243191 | ||||||||
\(304\) | −14.8164 | − | 15.9438i | −0.849778 | − | 0.914437i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 4.10861 | + | 2.80005i | 0.234874 | + | 0.160068i | ||||
\(307\) | − | 12.3760i | − | 0.706335i | −0.935560 | − | 0.353168i | \(-0.885105\pi\) | ||
0.935560 | − | 0.353168i | \(-0.114895\pi\) | |||||||
\(308\) | 34.5520 | − | 13.5759i | 1.96879 | − | 0.773561i | ||||
\(309\) | − | 0.0429270i | − | 0.00244203i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.2746 | −1.03626 | −0.518129 | − | 0.855302i | \(-0.673371\pi\) | ||||
−0.518129 | + | 0.855302i | \(0.673371\pi\) | |||||||
\(312\) | −2.17679 | + | 9.56247i | −0.123237 | + | 0.541368i | ||||
\(313\) | 12.7114 | 0.718491 | 0.359246 | − | 0.933243i | \(-0.383034\pi\) | ||||
0.359246 | + | 0.933243i | \(0.383034\pi\) | |||||||
\(314\) | −17.2476 | + | 25.3080i | −0.973338 | + | 1.42821i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.51481 | − | 19.1259i | −0.422741 | − | 1.07591i | ||||
\(317\) | − | 15.8602i | − | 0.890800i | −0.895332 | − | 0.445400i | \(-0.853061\pi\) | ||
0.895332 | − | 0.445400i | \(-0.146939\pi\) | |||||||
\(318\) | 0.272520 | + | 0.185725i | 0.0152822 | + | 0.0104149i | ||||
\(319\) | −14.4235 | −0.807559 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.4728 | 0.863609 | ||||||||
\(322\) | −39.2750 | − | 26.7662i | −2.18871 | − | 1.49162i | ||||
\(323\) | − | 19.1303i | − | 1.06444i | ||||||
\(324\) | 0.731395 | + | 1.86147i | 0.0406330 | + | 0.103415i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −12.9310 | + | 18.9742i | −0.716185 | + | 1.05088i | ||||
\(327\) | −12.9561 | −0.716476 | ||||||||
\(328\) | −1.88625 | + | 8.28615i | −0.104151 | + | 0.457526i | ||||
\(329\) | −4.37145 | −0.241006 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 23.0315i | − | 1.26593i | −0.774182 | − | 0.632963i | \(-0.781839\pi\) | ||
0.774182 | − | 0.632963i | \(-0.218161\pi\) | |||||||
\(332\) | −21.1259 | + | 8.30063i | −1.15943 | + | 0.455556i | ||||
\(333\) | 0.414376i | 0.0227077i | ||||||||
\(334\) | 7.82092 | + | 5.33002i | 0.427942 | + | 0.291646i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 12.8602 | + | 13.8388i | 0.701584 | + | 0.754968i | ||||
\(337\) | 0.860247 | 0.0468606 | 0.0234303 | − | 0.999725i | \(-0.492541\pi\) | ||||
0.0234303 | + | 0.999725i | \(0.492541\pi\) | |||||||
\(338\) | 1.14245 | + | 0.778587i | 0.0621409 | + | 0.0423496i | ||||
\(339\) | − | 3.86025i | − | 0.209660i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.5708i | 1.11397i | ||||||||
\(342\) | 4.33364 | − | 6.35890i | 0.234337 | − | 0.343850i | ||||
\(343\) | −39.2293 | −2.11818 | ||||||||
\(344\) | −14.7395 | − | 3.35528i | −0.794698 | − | 0.180905i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.8576 | − | 26.2030i | 0.960028 | − | 1.40868i | ||||
\(347\) | 32.2856i | 1.73318i | 0.499019 | + | 0.866591i | \(0.333694\pi\) | ||||
−0.499019 | + | 0.866591i | \(0.666306\pi\) | |||||||
\(348\) | −2.68420 | − | 6.83154i | −0.143888 | − | 0.366209i | ||||
\(349\) | − | 0.742899i | − | 0.0397665i | −0.999802 | − | 0.0198832i | \(-0.993671\pi\) | ||
0.999802 | − | 0.0198832i | \(-0.00632945\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.46733 | −0.185073 | ||||||||
\(352\) | −3.33457 | − | 21.9806i | −0.177733 | − | 1.17157i | ||||
\(353\) | 32.6392 | 1.73721 | 0.868604 | − | 0.495506i | \(-0.165018\pi\) | ||||
0.868604 | + | 0.495506i | \(0.165018\pi\) | |||||||
\(354\) | 16.8055 | + | 11.4531i | 0.893204 | + | 0.608726i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.49672 | + | 16.5348i | 0.344326 | + | 0.876341i | ||||
\(357\) | 16.6046i | 0.878811i | ||||||||
\(358\) | −0.118542 | + | 0.173941i | −0.00626517 | + | 0.00919309i | ||||
\(359\) | −2.71056 | −0.143058 | −0.0715290 | − | 0.997439i | \(-0.522788\pi\) | ||||
−0.0715290 | + | 0.997439i | \(0.522788\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6080 | −0.558317 | ||||||||
\(362\) | 8.27724 | − | 12.1455i | 0.435042 | − | 0.638352i | ||||
\(363\) | − | 4.44587i | − | 0.233348i | ||||||
\(364\) | −30.4834 | + | 11.9773i | −1.59776 | + | 0.627782i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.138237 | − | 0.0942095i | −0.00722575 | − | 0.00492441i | ||||
\(367\) | −0.680008 | −0.0354961 | −0.0177481 | − | 0.999842i | \(-0.505650\pi\) | ||||
−0.0177481 | + | 0.999842i | \(0.505650\pi\) | |||||||
\(368\) | −20.8503 | + | 19.3760i | −1.08690 | + | 1.01004i | ||||
\(369\) | −3.00454 | −0.156410 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.10137i | 0.0571803i | ||||||||
\(372\) | −9.74318 | + | 3.82822i | −0.505160 | + | 0.198484i | ||||
\(373\) | 3.47642i | 0.180002i | 0.995942 | + | 0.0900012i | \(0.0286871\pi\) | ||||
−0.995942 | + | 0.0900012i | \(0.971313\pi\) | |||||||
\(374\) | 11.0045 | − | 16.1473i | 0.569031 | − | 0.834959i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.581079 | + | 2.55263i | −0.0299669 | + | 0.131642i | ||||
\(377\) | 12.7250 | 0.655373 | ||||||||
\(378\) | −3.76149 | + | 5.51937i | −0.193470 | + | 0.283886i | ||||
\(379\) | 23.0650i | 1.18477i | 0.805655 | + | 0.592385i | \(0.201813\pi\) | ||||
−0.805655 | + | 0.592385i | \(0.798187\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.3805i | 0.941664i | ||||||||
\(382\) | 7.28430 | + | 4.96431i | 0.372697 | + | 0.253996i | ||||
\(383\) | 9.81544 | 0.501545 | 0.250773 | − | 0.968046i | \(-0.419315\pi\) | ||||
0.250773 | + | 0.968046i | \(0.419315\pi\) | |||||||
\(384\) | 9.79037 | − | 5.66998i | 0.499613 | − | 0.289345i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.458070 | + | 0.312178i | 0.0233151 | + | 0.0158895i | ||||
\(387\) | − | 5.34450i | − | 0.271676i | ||||||
\(388\) | −5.32062 | − | 13.5415i | −0.270114 | − | 0.687464i | ||||
\(389\) | − | 9.86175i | − | 0.500010i | −0.968244 | − | 0.250005i | \(-0.919568\pi\) | ||
0.968244 | − | 0.250005i | \(-0.0804323\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.0175 | −1.26519 | ||||||||
\(392\) | −9.60919 | + | 42.2123i | −0.485337 | + | 2.13204i | ||||
\(393\) | −3.41892 | −0.172462 | ||||||||
\(394\) | 4.75164 | − | 6.97224i | 0.239384 | − | 0.351256i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 7.31580 | − | 2.87447i | 0.367633 | − | 0.144448i | ||||
\(397\) | − | 12.7783i | − | 0.641326i | −0.947193 | − | 0.320663i | \(-0.896094\pi\) | ||
0.947193 | − | 0.320663i | \(-0.103906\pi\) | |||||||
\(398\) | −20.9561 | − | 14.2818i | −1.05044 | − | 0.715881i | ||||
\(399\) | 25.6990 | 1.28656 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.17325 | 0.158465 | 0.0792323 | − | 0.996856i | \(-0.474753\pi\) | ||||
0.0792323 | + | 0.996856i | \(0.474753\pi\) | |||||||
\(402\) | −15.7186 | − | 10.7123i | −0.783971 | − | 0.534282i | ||||
\(403\) | − | 18.1485i | − | 0.904041i | ||||||
\(404\) | 7.87996 | − | 3.09614i | 0.392043 | − | 0.154039i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 13.8046 | − | 20.2560i | 0.685111 | − | 1.00529i | ||||
\(407\) | 1.62855 | 0.0807243 | ||||||||
\(408\) | 9.69599 | + | 2.20719i | 0.480023 | + | 0.109272i | ||||
\(409\) | 12.1125 | 0.598923 | 0.299461 | − | 0.954108i | \(-0.403193\pi\) | ||||
0.299461 | + | 0.954108i | \(0.403193\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.3714i | 0.807544i | ||||||||
\(412\) | −0.0313965 | − | 0.0799071i | −0.00154680 | − | 0.00393674i | ||||
\(413\) | 67.9184i | 3.34204i | ||||||||
\(414\) | −8.31580 | − | 5.66728i | −0.408699 | − | 0.278532i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.94191 | + | 19.3923i | 0.144239 | + | 0.950787i | ||||
\(417\) | −1.95707 | −0.0958383 | ||||||||
\(418\) | −24.9913 | − | 17.0317i | −1.22236 | − | 0.833050i | ||||
\(419\) | 4.24767i | 0.207512i | 0.994603 | + | 0.103756i | \(0.0330862\pi\) | ||||
−0.994603 | + | 0.103756i | \(0.966914\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 3.77928i | − | 0.184191i | −0.995750 | − | 0.0920953i | \(-0.970644\pi\) | ||
0.995750 | − | 0.0920953i | \(-0.0293564\pi\) | |||||||
\(422\) | 5.18934 | − | 7.61450i | 0.252613 | − | 0.370668i | ||||
\(423\) | −0.925579 | −0.0450032 | ||||||||
\(424\) | 0.643126 | + | 0.146401i | 0.0312329 | + | 0.00710985i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.74440 | + | 2.55962i | −0.0845164 | + | 0.124014i | ||||
\(427\) | − | 0.558674i | − | 0.0270361i | ||||||
\(428\) | 28.8022 | − | 11.3167i | 1.39220 | − | 0.547015i | ||||
\(429\) | 13.6271i | 0.657920i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.6271 | 1.23441 | 0.617206 | − | 0.786802i | \(-0.288265\pi\) | ||||
0.617206 | + | 0.786802i | \(0.288265\pi\) | |||||||
\(432\) | 2.72294 | + | 2.93012i | 0.131007 | + | 0.140976i | ||||
\(433\) | 2.03149 | 0.0976274 | 0.0488137 | − | 0.998808i | \(-0.484456\pi\) | ||||
0.0488137 | + | 0.998808i | \(0.484456\pi\) | |||||||
\(434\) | −28.8891 | − | 19.6882i | −1.38672 | − | 0.945063i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −24.1174 | + | 9.47605i | −1.15501 | + | 0.453820i | ||||
\(437\) | 38.7196i | 1.85221i | ||||||||
\(438\) | −0.448565 | + | 0.658194i | −0.0214333 | + | 0.0314497i | ||||
\(439\) | −22.4864 | −1.07322 | −0.536608 | − | 0.843832i | \(-0.680294\pi\) | ||||
−0.536608 | + | 0.843832i | \(0.680294\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.3061 | −0.728863 | ||||||||
\(442\) | −9.70871 | + | 14.2459i | −0.461796 | + | 0.677609i | ||||
\(443\) | 3.39385i | 0.161247i | 0.996745 | + | 0.0806234i | \(0.0256911\pi\) | ||||
−0.996745 | + | 0.0806234i | \(0.974309\pi\) | |||||||
\(444\) | 0.303073 | + | 0.771348i | 0.0143832 | + | 0.0366066i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.67698 | − | 2.50589i | −0.174110 | − | 0.118657i | ||||
\(447\) | 12.0968 | 0.572160 | ||||||||
\(448\) | 34.0605 | + | 16.3545i | 1.60921 | + | 0.772679i | ||||
\(449\) | −2.17780 | −0.102777 | −0.0513883 | − | 0.998679i | \(-0.516365\pi\) | ||||
−0.0513883 | + | 0.998679i | \(0.516365\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.8082i | 0.556028i | ||||||||
\(452\) | −2.82336 | − | 7.18572i | −0.132800 | − | 0.337988i | ||||
\(453\) | − | 4.87178i | − | 0.228896i | ||||||
\(454\) | −3.12283 | + | 4.58224i | −0.146562 | + | 0.215055i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.41607 | − | 15.0065i | 0.159972 | − | 0.702743i | ||||
\(457\) | 3.57653 | 0.167303 | 0.0836516 | − | 0.996495i | \(-0.473342\pi\) | ||||
0.0836516 | + | 0.996495i | \(0.473342\pi\) | |||||||
\(458\) | 20.4603 | − | 30.0221i | 0.956046 | − | 1.40284i | ||||
\(459\) | 3.51575i | 0.164101i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.1158i | 0.610866i | 0.952214 | + | 0.305433i | \(0.0988012\pi\) | ||||
−0.952214 | + | 0.305433i | \(0.901199\pi\) | |||||||
\(462\) | 21.6918 | + | 14.7831i | 1.00919 | + | 0.687774i | ||||
\(463\) | 3.21417 | 0.149375 | 0.0746877 | − | 0.997207i | \(-0.476204\pi\) | ||||
0.0746877 | + | 0.997207i | \(0.476204\pi\) | |||||||
\(464\) | −9.99311 | − | 10.7535i | −0.463919 | − | 0.499218i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −30.0999 | − | 20.5133i | −1.39435 | − | 0.950261i | ||||
\(467\) | − | 30.3016i | − | 1.40219i | −0.713068 | − | 0.701095i | \(-0.752695\pi\) | ||
0.713068 | − | 0.701095i | \(-0.247305\pi\) | |||||||
\(468\) | −6.45433 | + | 2.53599i | −0.298352 | + | 0.117226i | ||||
\(469\) | − | 63.5254i | − | 2.93333i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.6561 | −0.997861 | ||||||||
\(472\) | 39.6597 | + | 9.02811i | 1.82549 | + | 0.415552i | ||||
\(473\) | −21.0045 | −0.965790 | ||||||||
\(474\) | 8.18303 | − | 12.0072i | 0.375859 | − | 0.551511i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.1446 | + | 30.9090i | 0.556645 | + | 1.41671i | ||||
\(477\) | 0.233196i | 0.0106773i | ||||||||
\(478\) | −18.5493 | − | 12.6415i | −0.848427 | − | 0.578210i | ||||
\(479\) | 35.0896 | 1.60328 | 0.801642 | − | 0.597804i | \(-0.203960\pi\) | ||||
0.801642 | + | 0.597804i | \(0.203960\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.43678 | −0.0655116 | ||||||||
\(482\) | 32.9161 | + | 22.4326i | 1.49929 | + | 1.02178i | ||||
\(483\) | − | 33.6077i | − | 1.52920i | ||||||
\(484\) | −3.25169 | − | 8.27584i | −0.147804 | − | 0.376175i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.796431 | + | 1.16863i | −0.0361269 | + | 0.0530102i | ||||
\(487\) | −36.9117 | −1.67263 | −0.836315 | − | 0.548250i | \(-0.815294\pi\) | ||||
−0.836315 | + | 0.548250i | \(0.815294\pi\) | |||||||
\(488\) | −0.326228 | − | 0.0742623i | −0.0147676 | − | 0.00336169i | ||||
\(489\) | −16.2362 | −0.734228 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 20.9867i | − | 0.947116i | −0.880763 | − | 0.473558i | \(-0.842969\pi\) | ||
0.880763 | − | 0.473558i | \(-0.157031\pi\) | |||||||
\(492\) | −5.59286 | + | 2.19751i | −0.252146 | + | 0.0990713i | ||||
\(493\) | − | 12.9027i | − | 0.581109i | ||||||
\(494\) | 22.0484 | + | 15.0262i | 0.992006 | + | 0.676060i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.3367 | + | 14.2522i | −0.688637 | + | 0.639943i | ||||
\(497\) | −10.3445 | −0.464014 | ||||||||
\(498\) | −13.2628 | − | 9.03873i | −0.594322 | − | 0.405035i | ||||
\(499\) | 15.9906i | 0.715836i | 0.933753 | + | 0.357918i | \(0.116513\pi\) | ||||
−0.933753 | + | 0.357918i | \(0.883487\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.69238i | 0.298994i | ||||||||
\(502\) | −3.71140 | + | 5.44587i | −0.165648 | + | 0.243061i | ||||
\(503\) | 37.6023 | 1.67660 | 0.838302 | − | 0.545206i | \(-0.183549\pi\) | ||||
0.838302 | + | 0.545206i | \(0.183549\pi\) | |||||||
\(504\) | −2.96506 | + | 13.0253i | −0.132074 | + | 0.580191i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −22.2731 | + | 32.6821i | −0.990161 | + | 1.45290i | ||||
\(507\) | 0.977595i | 0.0434165i | ||||||||
\(508\) | 13.4434 | + | 34.2148i | 0.596456 | + | 1.51804i | ||||
\(509\) | − | 12.8579i | − | 0.569917i | −0.958540 | − | 0.284958i | \(-0.908020\pi\) | ||
0.958540 | − | 0.284958i | \(-0.0919797\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.66004 | −0.117673 | ||||||||
\(512\) | 14.0775 | − | 17.7151i | 0.622142 | − | 0.782904i | ||||
\(513\) | 5.44133 | 0.240240 | ||||||||
\(514\) | 3.90317 | + | 2.66004i | 0.172162 | + | 0.117330i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.90894 | − | 9.94861i | −0.172081 | − | 0.437963i | ||||
\(517\) | 3.63764i | 0.159983i | ||||||||
\(518\) | −1.55867 | + | 2.28710i | −0.0684842 | + | 0.100489i | ||||
\(519\) | 22.4220 | 0.984215 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 37.0015 | 1.62107 | 0.810534 | − | 0.585692i | \(-0.199177\pi\) | ||||
0.810534 | + | 0.585692i | \(0.199177\pi\) | |||||||
\(522\) | 2.92288 | − | 4.28885i | 0.127931 | − | 0.187718i | ||||
\(523\) | 17.4952i | 0.765013i | 0.923953 | + | 0.382506i | \(0.124939\pi\) | ||||
−0.923953 | + | 0.382506i | \(0.875061\pi\) | |||||||
\(524\) | −6.36421 | + | 2.50058i | −0.278022 | + | 0.109238i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −32.2463 | − | 21.9761i | −1.40600 | − | 0.958203i | ||||
\(527\) | −18.4019 | −0.801600 | ||||||||
\(528\) | 11.5157 | − | 10.7015i | 0.501159 | − | 0.465722i | ||||
\(529\) | 27.6353 | 1.20153 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 14.3805i | 0.624062i | ||||||||
\(532\) | 47.8379 | − | 18.7961i | 2.07404 | − | 0.814916i | ||||
\(533\) | − | 10.4178i | − | 0.451243i | ||||||
\(534\) | −7.07442 | + | 10.3805i | −0.306140 | + | 0.449210i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −37.0945 | − | 8.44418i | −1.60224 | − | 0.364733i | ||||
\(537\) | −0.148842 | −0.00642301 | ||||||||
\(538\) | −17.4201 | + | 25.5611i | −0.751035 | + | 1.10202i | ||||
\(539\) | 60.1549i | 2.59106i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 38.1225i | 1.63901i | 0.573069 | + | 0.819507i | \(0.305753\pi\) | ||||
−0.573069 | + | 0.819507i | \(0.694247\pi\) | |||||||
\(542\) | −10.2674 | − | 6.99731i | −0.441022 | − | 0.300560i | ||||
\(543\) | 10.3929 | 0.446003 | ||||||||
\(544\) | 19.6631 | − | 2.98298i | 0.843048 | − | 0.127894i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −19.1375 | − | 13.0424i | −0.819009 | − | 0.558161i | ||||
\(547\) | − | 35.7406i | − | 1.52816i | −0.645124 | − | 0.764078i | \(-0.723194\pi\) | ||
0.645124 | − | 0.764078i | \(-0.276806\pi\) | |||||||
\(548\) | 11.9740 | + | 30.4749i | 0.511504 | + | 1.30182i | ||||
\(549\) | − | 0.118290i | − | 0.00504848i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −19.9695 | −0.850731 | ||||||||
\(552\) | −19.6246 | − | 4.46733i | −0.835279 | − | 0.190142i | ||||
\(553\) | 48.5264 | 2.06355 | ||||||||
\(554\) | −8.27000 | + | 12.1349i | −0.351359 | + | 0.515561i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.64303 | + | 1.43139i | −0.154499 | + | 0.0607046i | ||||
\(557\) | 2.65516i | 0.112503i | 0.998417 | + | 0.0562514i | \(0.0179148\pi\) | ||||
−0.998417 | + | 0.0562514i | \(0.982085\pi\) | |||||||
\(558\) | −6.11677 | − | 4.16863i | −0.258944 | − | 0.176472i | ||||
\(559\) | 18.5312 | 0.783785 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.8173 | 0.583368 | ||||||||
\(562\) | 19.9350 | + | 13.5859i | 0.840908 | + | 0.573086i | ||||
\(563\) | − | 20.3107i | − | 0.855992i | −0.903781 | − | 0.427996i | \(-0.859220\pi\) | ||
0.903781 | − | 0.427996i | \(-0.140780\pi\) | |||||||
\(564\) | −1.72294 | + | 0.676964i | −0.0725487 | + | 0.0285053i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.82513 | + | 4.14541i | −0.118749 | + | 0.174245i | ||||
\(567\) | −4.72294 | −0.198345 | ||||||||
\(568\) | −1.37505 | + | 6.04049i | −0.0576959 | + | 0.253453i | ||||
\(569\) | −28.4274 | −1.19174 | −0.595868 | − | 0.803082i | \(-0.703192\pi\) | ||||
−0.595868 | + | 0.803082i | \(0.703192\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 16.1485i | − | 0.675794i | −0.941183 | − | 0.337897i | \(-0.890284\pi\) | ||
0.941183 | − | 0.337897i | \(-0.109716\pi\) | |||||||
\(572\) | 9.96675 | + | 25.3663i | 0.416731 | + | 1.06062i | ||||
\(573\) | 6.23320i | 0.260396i | ||||||||
\(574\) | −16.5832 | − | 11.3016i | −0.692169 | − | 0.471719i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 7.21173 | + | 3.46279i | 0.300489 | + | 0.144283i | ||||
\(577\) | 30.3600 | 1.26390 | 0.631952 | − | 0.775008i | \(-0.282254\pi\) | ||||
0.631952 | + | 0.775008i | \(0.282254\pi\) | |||||||
\(578\) | −5.42189 | − | 3.69506i | −0.225521 | − | 0.153694i | ||||
\(579\) | 0.391971i | 0.0162898i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − | 53.6008i | − | 2.22374i | ||||||
\(582\) | 5.79374 | − | 8.50135i | 0.240158 | − | 0.352392i | ||||
\(583\) | 0.916490 | 0.0379571 | ||||||||
\(584\) | −0.353589 | + | 1.55329i | −0.0146316 | + | 0.0642754i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.55987 | − | 6.69085i | 0.188366 | − | 0.276396i | ||||
\(587\) | − | 2.74070i | − | 0.113121i | −0.998399 | − | 0.0565604i | \(-0.981987\pi\) | ||
0.998399 | − | 0.0565604i | \(-0.0180133\pi\) | |||||||
\(588\) | −28.4918 | + | 11.1948i | −1.17498 | + | 0.461666i | ||||
\(589\) | 28.4807i | 1.17352i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.96616 | 0.245415 | ||||||||
\(592\) | 1.12832 | + | 1.21417i | 0.0463737 | + | 0.0499022i | ||||
\(593\) | 22.2586 | 0.914053 | 0.457027 | − | 0.889453i | \(-0.348914\pi\) | ||||
0.457027 | + | 0.889453i | \(0.348914\pi\) | |||||||
\(594\) | 4.59286 | + | 3.13007i | 0.188447 | + | 0.128428i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 22.5179 | − | 8.84755i | 0.922367 | − | 0.362410i | ||||
\(597\) | − | 17.9322i | − | 0.733917i | ||||||
\(598\) | 19.6504 | − | 28.8336i | 0.803563 | − | 1.17910i | ||||
\(599\) | 48.4526 | 1.97972 | 0.989860 | − | 0.142046i | \(-0.0453680\pi\) | ||||
0.989860 | + | 0.142046i | \(0.0453680\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.26553 | 0.214786 | 0.107393 | − | 0.994217i | \(-0.465750\pi\) | ||||
0.107393 | + | 0.994217i | \(0.465750\pi\) | |||||||
\(602\) | 20.1033 | − | 29.4983i | 0.819349 | − | 1.20226i | ||||
\(603\) | − | 13.4504i | − | 0.547743i | ||||||
\(604\) | −3.56319 | − | 9.06866i | −0.144984 | − | 0.368998i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.94704 | + | 3.37145i | 0.200960 | + | 0.136956i | ||||
\(607\) | 7.38288 | 0.299662 | 0.149831 | − | 0.988712i | \(-0.452127\pi\) | ||||
0.149831 | + | 0.988712i | \(0.452127\pi\) | |||||||
\(608\) | −4.61677 | − | 30.4326i | −0.187235 | − | 1.23420i | ||||
\(609\) | 17.3331 | 0.702371 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 3.20929i | − | 0.129834i | ||||||
\(612\) | 2.57140 | + | 6.54445i | 0.103943 | + | 0.264544i | ||||
\(613\) | 2.64607i | 0.106874i | 0.998571 | + | 0.0534369i | \(0.0170176\pi\) | ||||
−0.998571 | + | 0.0534369i | \(0.982982\pi\) | |||||||
\(614\) | 9.85663 | − | 14.4630i | 0.397781 | − | 0.583678i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 51.1909 | + | 11.6531i | 2.06254 | + | 0.469515i | ||||
\(617\) | 21.0136 | 0.845977 | 0.422989 | − | 0.906135i | \(-0.360981\pi\) | ||||
0.422989 | + | 0.906135i | \(0.360981\pi\) | |||||||
\(618\) | 0.0341884 | − | 0.0501658i | 0.00137526 | − | 0.00201796i | ||||
\(619\) | 24.0874i | 0.968154i | 0.875025 | + | 0.484077i | \(0.160845\pi\) | ||||
−0.875025 | + | 0.484077i | \(0.839155\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 7.11585i | − | 0.285549i | ||||||
\(622\) | −21.3563 | − | 14.5545i | −0.856309 | − | 0.583581i | ||||
\(623\) | −41.9522 | −1.68078 | ||||||||
\(624\) | −10.1597 | + | 9.44133i | −0.406714 | + | 0.377956i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 14.8549 | + | 10.1238i | 0.593723 | + | 0.404627i | ||||
\(627\) | − | 21.3851i | − | 0.854038i | ||||||
\(628\) | −40.3121 | + | 15.8392i | −1.60863 | + | 0.632051i | ||||
\(629\) | 1.45684i | 0.0580881i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.2094 | 1.00357 | 0.501785 | − | 0.864992i | \(-0.332677\pi\) | ||||
0.501785 | + | 0.864992i | \(0.332677\pi\) | |||||||
\(632\) | 6.45042 | − | 28.3361i | 0.256584 | − | 1.12715i | ||||
\(633\) | 6.51575 | 0.258978 | ||||||||
\(634\) | 12.6316 | − | 18.5348i | 0.501665 | − | 0.736110i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.170558 | + | 0.434087i | 0.00676308 | + | 0.0172127i | ||||
\(637\) | − | 53.0714i | − | 2.10277i | ||||||
\(638\) | −16.8557 | − | 11.4873i | −0.667324 | − | 0.454786i | ||||
\(639\) | −2.19027 | −0.0866457 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −18.4755 | −0.729738 | −0.364869 | − | 0.931059i | \(-0.618886\pi\) | ||||
−0.364869 | + | 0.931059i | \(0.618886\pi\) | |||||||
\(642\) | 18.0820 | + | 12.3230i | 0.713640 | + | 0.486351i | ||||
\(643\) | 0.636984i | 0.0251202i | 0.999921 | + | 0.0125601i | \(0.00399811\pi\) | ||||
−0.999921 | + | 0.0125601i | \(0.996002\pi\) | |||||||
\(644\) | −24.5805 | − | 62.5596i | −0.968607 | − | 2.46519i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 15.2360 | − | 22.3563i | 0.599452 | − | 0.879596i | ||||
\(647\) | 32.0182 | 1.25876 | 0.629382 | − | 0.777096i | \(-0.283308\pi\) | ||||
0.629382 | + | 0.777096i | \(0.283308\pi\) | |||||||
\(648\) | −0.627801 | + | 2.75787i | −0.0246623 | + | 0.108340i | ||||
\(649\) | 56.5173 | 2.21850 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − | 24.7205i | − | 0.968873i | ||||||
\(652\) | −30.2232 | + | 11.8751i | −1.18363 | + | 0.465065i | ||||
\(653\) | 25.9769i | 1.01656i | 0.861193 | + | 0.508278i | \(0.169718\pi\) | ||||
−0.861193 | + | 0.508278i | \(0.830282\pi\) | |||||||
\(654\) | −15.1409 | − | 10.3187i | −0.592057 | − | 0.403492i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −8.80369 | + | 8.18118i | −0.343726 | + | 0.319421i | ||||
\(657\) | −0.563219 | −0.0219732 | ||||||||
\(658\) | −5.10861 | − | 3.48156i | −0.199154 | − | 0.135725i | ||||
\(659\) | − | 21.3422i | − | 0.831372i | −0.909508 | − | 0.415686i | \(-0.863541\pi\) | ||
0.909508 | − | 0.415686i | \(-0.136459\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.8397i | 0.577198i | 0.957450 | + | 0.288599i | \(0.0931895\pi\) | ||||
−0.957450 | + | 0.288599i | \(0.906810\pi\) | |||||||
\(662\) | 18.3430 | − | 26.9153i | 0.712921 | − | 1.04609i | ||||
\(663\) | −12.1903 | −0.473431 | ||||||||
\(664\) | −31.2992 | − | 7.12494i | −1.21465 | − | 0.276501i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.330022 | + | 0.484253i | −0.0127881 | + | 0.0187644i | ||||
\(667\) | 26.1150i | 1.01118i | ||||||||
\(668\) | 4.89477 | + | 12.4577i | 0.189384 | + | 0.482001i | ||||
\(669\) | − | 3.14640i | − | 0.121647i | ||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.464893 | −0.0179470 | ||||||||
\(672\) | 4.00724 | + | 26.4147i | 0.154583 | + | 1.01897i | ||||
\(673\) | 18.1167 | 0.698347 | 0.349174 | − | 0.937058i | \(-0.386462\pi\) | ||||
0.349174 | + | 0.937058i | \(0.386462\pi\) | |||||||
\(674\) | 1.00531 | + | 0.685127i | 0.0387231 | + | 0.0263901i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.715008 | + | 1.81976i | 0.0275003 | + | 0.0699908i | ||||
\(677\) | 30.5617i | 1.17458i | 0.809376 | + | 0.587291i | \(0.199806\pi\) | ||||
−0.809376 | + | 0.587291i | \(0.800194\pi\) | |||||||
\(678\) | 3.07442 | − | 4.51120i | 0.118072 | − | 0.173252i | ||||
\(679\) | 34.3576 | 1.31852 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.92103 | −0.150254 | ||||||||
\(682\) | −16.3832 | + | 24.0397i | −0.627346 | + | 0.920527i | ||||
\(683\) | 22.2027i | 0.849564i | 0.905296 | + | 0.424782i | \(0.139649\pi\) | ||||
−0.905296 | + | 0.424782i | \(0.860351\pi\) | |||||||
\(684\) | 10.1289 | − | 3.97976i | 0.387286 | − | 0.152170i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −45.8445 | − | 31.2434i | −1.75035 | − | 1.19288i | ||||
\(687\) | 25.6899 | 0.980132 | ||||||||
\(688\) | −14.5527 | − | 15.6600i | −0.554818 | − | 0.597034i | ||||
\(689\) | −0.808569 | −0.0308040 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 12.6890i | − | 0.482712i | −0.970437 | − | 0.241356i | \(-0.922408\pi\) | ||
0.970437 | − | 0.241356i | \(-0.0775922\pi\) | |||||||
\(692\) | 41.7378 | − | 16.3993i | 1.58663 | − | 0.623408i | ||||
\(693\) | 18.5617i | 0.705101i | ||||||||
\(694\) | −25.7133 | + | 37.7299i | −0.976062 | + | 1.43221i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.30401 | − | 10.1213i | 0.0873334 | − | 0.383648i | ||||
\(697\) | −10.5632 | −0.400110 | ||||||||
\(698\) | 0.591668 | − | 0.868174i | 0.0223950 | − | 0.0328609i | ||||
\(699\) | − | 25.7565i | − | 0.974202i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 34.9241i | 1.31906i | 0.751676 | + | 0.659532i | \(0.229246\pi\) | ||||
−0.751676 | + | 0.659532i | \(0.770754\pi\) | |||||||
\(702\) | −4.05203 | − | 2.76149i | −0.152934 | − | 0.104226i | ||||
\(703\) | 2.25476 | 0.0850398 | ||||||||
\(704\) | 13.6092 | − | 28.3430i | 0.512916 | − | 1.06822i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 38.1431 | + | 25.9949i | 1.43554 | + | 0.978330i | ||||
\(707\) | 19.9931i | 0.751918i | ||||||||
\(708\) | 10.5179 | + | 26.7689i | 0.395285 | + | 1.00604i | ||||
\(709\) | 5.65610i | 0.212419i | 0.994344 | + | 0.106210i | \(0.0338715\pi\) | ||||
−0.994344 | + | 0.106210i | \(0.966129\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.2746 | 0.385328 | ||||||||
\(712\) | −5.57653 | + | 24.4972i | −0.208989 | + | 0.918073i | ||||
\(713\) | 37.2453 | 1.39485 | ||||||||
\(714\) | −13.2245 | + | 19.4047i | −0.494913 | + | 0.726203i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.277065 | + | 0.108862i | −0.0103544 | + | 0.00406838i | ||||
\(717\) | − | 15.8727i | − | 0.592778i | ||||||
\(718\) | −3.16764 | − | 2.15878i | −0.118215 | − | 0.0805648i | ||||
\(719\) | −20.0844 | −0.749020 | −0.374510 | − | 0.927223i | \(-0.622189\pi\) | ||||
−0.374510 | + | 0.927223i | \(0.622189\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.202741 | 0.00755048 | ||||||||
\(722\) | −12.3969 | − | 8.44856i | −0.461364 | − | 0.314423i | ||||
\(723\) | 28.1664i | 1.04752i | ||||||||
\(724\) | 19.3461 | − | 7.60132i | 0.718991 | − | 0.282501i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.54083 | − | 5.19558i | 0.131413 | − | 0.192826i | ||||
\(727\) | 13.0424 | 0.483715 | 0.241857 | − | 0.970312i | \(-0.422243\pi\) | ||||
0.241857 | + | 0.970312i | \(0.422243\pi\) | |||||||
\(728\) | −45.1629 | − | 10.2809i | −1.67385 | − | 0.381034i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 18.7899i | − | 0.694970i | ||||||
\(732\) | −0.0865164 | − | 0.220192i | −0.00319774 | − | 0.00813854i | ||||
\(733\) | 34.8917i | 1.28876i | 0.764707 | + | 0.644378i | \(0.222884\pi\) | ||||
−0.764707 | + | 0.644378i | \(0.777116\pi\) | |||||||
\(734\) | −0.794678 | − | 0.541580i | −0.0293321 | − | 0.0199901i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −39.7980 | + | 6.03754i | −1.46697 | + | 0.222547i | ||||
\(737\) | −52.8618 | −1.94719 | ||||||||
\(738\) | −3.51120 | − | 2.39291i | −0.129249 | − | 0.0880843i | ||||
\(739\) | − | 41.5040i | − | 1.52675i | −0.645957 | − | 0.763374i | \(-0.723541\pi\) | ||
0.645957 | − | 0.763374i | \(-0.276459\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 18.8669i | 0.693093i | ||||||||
\(742\) | −0.877166 | + | 1.28710i | −0.0322018 | + | 0.0472508i | ||||
\(743\) | 7.63764 | 0.280198 | 0.140099 | − | 0.990138i | \(-0.455258\pi\) | ||||
0.140099 | + | 0.990138i | \(0.455258\pi\) | |||||||
\(744\) | −14.4351 | − | 3.28600i | −0.529216 | − | 0.120470i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.76873 | + | 4.06265i | −0.101370 | + | 0.148744i | ||||
\(747\) | − | 11.3490i | − | 0.415240i | ||||||
\(748\) | 25.7205 | − | 10.1059i | 0.940434 | − | 0.369509i | ||||
\(749\) | 73.0771i | 2.67018i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.4029 | −0.708023 | −0.354012 | − | 0.935241i | \(-0.615183\pi\) | ||||
−0.354012 | + | 0.935241i | \(0.615183\pi\) | |||||||
\(752\) | −2.71206 | + | 2.52029i | −0.0988987 | + | 0.0919056i | ||||
\(753\) | −4.66004 | −0.169821 | ||||||||
\(754\) | 14.8709 | + | 10.1346i | 0.541565 | + | 0.369081i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −8.79159 | + | 3.45433i | −0.319747 | + | 0.125633i | ||||
\(757\) | 43.7959i | 1.59179i | 0.605436 | + | 0.795894i | \(0.292999\pi\) | ||||
−0.605436 | + | 0.795894i | \(0.707001\pi\) | |||||||
\(758\) | −18.3697 | + | 26.9545i | −0.667217 | + | 0.979030i | ||||
\(759\) | −27.9662 | −1.01511 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.95519 | 0.360875 | 0.180438 | − | 0.983586i | \(-0.442249\pi\) | ||||
0.180438 | + | 0.983586i | \(0.442249\pi\) | |||||||
\(762\) | −14.6388 | + | 21.4801i | −0.530309 | + | 0.778140i | ||||
\(763\) | − | 61.1910i | − | 2.21526i | ||||||
\(764\) | 4.55893 | + | 11.6029i | 0.164936 | + | 0.419778i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.4706 | + | 7.81732i | 0.414450 | + | 0.282451i | ||||
\(767\) | −49.8621 | −1.80042 | ||||||||
\(768\) | 15.9571 | + | 1.17125i | 0.575801 | + | 0.0422637i | ||||
\(769\) | −17.9008 | −0.645520 | −0.322760 | − | 0.946481i | \(-0.604611\pi\) | ||||
−0.322760 | + | 0.946481i | \(0.604611\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.33996i | 0.120286i | ||||||||
\(772\) | 0.286686 | + | 0.729642i | 0.0103180 | + | 0.0262604i | ||||
\(773\) | − | 20.8182i | − | 0.748777i | −0.927272 | − | 0.374389i | \(-0.877853\pi\) | ||
0.927272 | − | 0.374389i | \(-0.122147\pi\) | |||||||
\(774\) | 4.25653 | − | 6.24575i | 0.152998 | − | 0.224499i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.56701 | − | 20.0625i | 0.163946 | − | 0.720201i | ||||
\(777\) | −1.95707 | −0.0702096 | ||||||||
\(778\) | 7.85420 | − | 11.5247i | 0.281587 | − | 0.413182i | ||||
\(779\) | 16.3487i | 0.585753i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.60803i | 0.308019i | ||||||||
\(782\) | −29.2362 | − | 19.9247i | −1.04549 | − | 0.712507i | ||||
\(783\) | 3.66998 | 0.131154 | ||||||||
\(784\) | −44.8488 | + | 41.6776i | −1.60174 | + | 1.48848i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −3.99546 | − | 2.72294i | −0.142513 | − | 0.0971239i | ||||
\(787\) | − | 27.2047i | − | 0.969744i | −0.874585 | − | 0.484872i | \(-0.838866\pi\) | ||
0.874585 | − | 0.484872i | \(-0.161134\pi\) | |||||||
\(788\) | 11.1058 | − | 4.36362i | 0.395628 | − | 0.155448i | ||||
\(789\) | − | 27.5932i | − | 0.982344i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 18.2317 | 0.648244 | ||||||||
\(792\) | 10.8388 | + | 2.46733i | 0.385139 | + | 0.0876729i | ||||
\(793\) | 0.410149 | 0.0145648 | ||||||||
\(794\) | 10.1771 | − | 14.9332i | 0.361170 | − | 0.529958i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −13.1155 | − | 33.3803i | −0.464868 | − | 1.18313i | ||||
\(797\) | 16.4344i | 0.582138i | 0.956702 | + | 0.291069i | \(0.0940109\pi\) | ||||
−0.956702 | + | 0.291069i | \(0.905989\pi\) | |||||||
\(798\) | 30.0327 | + | 20.4675i | 1.06315 | + | 0.724542i | ||||
\(799\) | −3.25410 | −0.115122 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.88265 | −0.313853 | ||||||||
\(802\) | 3.70836 | + | 2.52728i | 0.130947 | + | 0.0892413i | ||||
\(803\) | 2.21352i | 0.0781134i | ||||||||
\(804\) | −9.83756 | − | 25.0375i | −0.346944 | − | 0.883005i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 14.4540 | − | 21.2089i | 0.509122 | − | 0.747052i | ||||
\(807\) | −21.8727 | −0.769956 | ||||||||
\(808\) | 11.6746 | + | 2.65760i | 0.410712 | + | 0.0934942i | ||||
\(809\) | 28.7698 | 1.01149 | 0.505747 | − | 0.862682i | \(-0.331217\pi\) | ||||
0.505747 | + | 0.862682i | \(0.331217\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.3512i | 0.503940i | 0.967735 | + | 0.251970i | \(0.0810785\pi\) | ||||
−0.967735 | + | 0.251970i | \(0.918922\pi\) | |||||||
\(812\) | 32.2649 | − | 12.6773i | 1.13228 | − | 0.444887i | ||||
\(813\) | − | 8.78583i | − | 0.308132i | ||||||
\(814\) | 1.90317 | + | 1.29703i | 0.0667062 | + | 0.0454608i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 9.57315 | + | 10.3016i | 0.335127 | + | 0.360627i | ||||
\(817\) | −29.0812 | −1.01742 | ||||||||
\(818\) | 14.1550 | + | 9.64675i | 0.494918 | + | 0.337291i | ||||
\(819\) | − | 16.3760i | − | 0.572224i | ||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.97271i | 0.173549i | 0.996228 | + | 0.0867744i | \(0.0276559\pi\) | ||||
−0.996228 | + | 0.0867744i | \(0.972344\pi\) | |||||||
\(822\) | −13.0387 | + | 19.1322i | −0.454778 | + | 0.667311i | ||||
\(823\) | −20.3625 | −0.709791 | −0.354895 | − | 0.934906i | \(-0.615483\pi\) | ||||
−0.354895 | + | 0.934906i | \(0.615483\pi\) | |||||||
\(824\) | 0.0269496 | − | 0.118387i | 0.000938833 | − | 0.00412421i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −54.0923 | + | 79.3715i | −1.88211 | + | 2.76169i | ||||
\(827\) | 36.0039i | 1.25198i | 0.779832 | + | 0.625989i | \(0.215304\pi\) | ||||
−0.779832 | + | 0.625989i | \(0.784696\pi\) | |||||||
\(828\) | −5.20449 | − | 13.2459i | −0.180869 | − | 0.460328i | ||||
\(829\) | − | 7.68666i | − | 0.266969i | −0.991051 | − | 0.133484i | \(-0.957383\pi\) | ||
0.991051 | − | 0.133484i | \(-0.0426166\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.3838 | −0.360211 | ||||||||
\(832\) | −12.0066 | + | 25.0055i | −0.416256 | + | 0.866909i | ||||
\(833\) | −53.8124 | −1.86449 | ||||||||
\(834\) | −2.28710 | − | 1.55867i | −0.0791956 | − | 0.0539725i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −15.6409 | − | 39.8076i | −0.540953 | − | 1.37678i | ||||
\(837\) | − | 5.23414i | − | 0.180918i | ||||||
\(838\) | −3.38298 | + | 4.96396i | −0.116863 | + | 0.171477i | ||||
\(839\) | −25.3725 | −0.875956 | −0.437978 | − | 0.898986i | \(-0.644305\pi\) | ||||
−0.437978 | + | 0.898986i | \(0.644305\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.5313 | 0.535561 | ||||||||
\(842\) | 3.00993 | − | 4.41658i | 0.103729 | − | 0.152205i | ||||
\(843\) | 17.0584i | 0.587524i | ||||||||
\(844\) | 12.1289 | − | 4.76558i | 0.417492 | − | 0.164038i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.08166 | − | 0.737160i | −0.0371882 | − | 0.0253441i | ||||
\(847\) | 20.9976 | 0.721485 | ||||||||
\(848\) | 0.634978 | + | 0.683294i | 0.0218052 | + | 0.0234644i | ||||
\(849\) | −3.54724 | −0.121741 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 2.94864i | − | 0.101078i | ||||||
\(852\) | −4.07712 | + | 1.60195i | −0.139680 | + | 0.0548820i | ||||
\(853\) | − | 20.1365i | − | 0.689460i | −0.938702 | − | 0.344730i | \(-0.887971\pi\) | ||
0.938702 | − | 0.344730i | \(-0.112029\pi\) | |||||||
\(854\) | 0.444945 | − | 0.652884i | 0.0152257 | − | 0.0223412i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 42.6721 | + | 9.71385i | 1.45850 | + | 0.332012i | ||||
\(857\) | −42.0380 | −1.43599 | −0.717996 | − | 0.696047i | \(-0.754940\pi\) | ||||
−0.717996 | + | 0.696047i | \(0.754940\pi\) | |||||||
\(858\) | −10.8530 | + | 15.9250i | −0.370516 | + | 0.543670i | ||||
\(859\) | − | 12.4095i | − | 0.423406i | −0.977334 | − | 0.211703i | \(-0.932099\pi\) | ||
0.977334 | − | 0.211703i | \(-0.0679010\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | − | 14.1903i | − | 0.483603i | ||||||
\(862\) | 29.9486 | + | 20.4102i | 1.02005 | + | 0.695174i | ||||
\(863\) | −21.8154 | −0.742606 | −0.371303 | − | 0.928512i | \(-0.621089\pi\) | ||||
−0.371303 | + | 0.928512i | \(0.621089\pi\) | |||||||
\(864\) | 0.848464 | + | 5.59286i | 0.0288653 | + | 0.190273i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 2.37407 | + | 1.61795i | 0.0806740 | + | 0.0549800i | ||||
\(867\) | − | 4.63952i | − | 0.157566i | ||||||
\(868\) | −18.0804 | − | 46.0164i | −0.613690 | − | 1.56190i | ||||
\(869\) | − | 40.3805i | − | 1.36982i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 46.6371 | 1.58024 | ||||||||
\(872\) | −35.7314 | − | 8.13387i | −1.21002 | − | 0.275448i | ||||
\(873\) | 7.27462 | 0.246209 | ||||||||
\(874\) | −30.8375 | + | 45.2490i | −1.04310 | + | 1.53057i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.04841 | + | 0.411935i | −0.0354226 | + | 0.0139180i | ||||
\(877\) | − | 5.83690i | − | 0.197098i | −0.995132 | − | 0.0985491i | \(-0.968580\pi\) | ||
0.995132 | − | 0.0985491i | \(-0.0314201\pi\) | |||||||
\(878\) | −26.2782 | − | 17.9088i | −0.886848 | − | 0.604394i | ||||
\(879\) | 5.72538 | 0.193112 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.9613 | −0.402986 | −0.201493 | − | 0.979490i | \(-0.564579\pi\) | ||||
−0.201493 | + | 0.979490i | \(0.564579\pi\) | |||||||
\(882\) | −17.8872 | − | 12.1903i | −0.602293 | − | 0.410468i | ||||
\(883\) | 3.74810i | 0.126134i | 0.998009 | + | 0.0630668i | \(0.0200881\pi\) | ||||
−0.998009 | + | 0.0630668i | \(0.979912\pi\) | |||||||
\(884\) | −22.6918 | + | 8.91590i | −0.763208 | + | 0.299874i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.70297 | + | 3.96616i | −0.0908081 | + | 0.133246i | ||||
\(887\) | −42.8101 | −1.43742 | −0.718711 | − | 0.695309i | \(-0.755268\pi\) | ||||
−0.718711 | + | 0.695309i | \(0.755268\pi\) | |||||||
\(888\) | −0.260146 | + | 1.14280i | −0.00872992 | + | 0.0383498i | ||||
\(889\) | −86.8101 | −2.91152 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.93012i | 0.131664i | ||||||||
\(892\) | −2.30126 | − | 5.85692i | −0.0770519 | − | 0.196104i | ||||
\(893\) | 5.03638i | 0.168536i | ||||||||
\(894\) | 14.1367 | + | 9.63429i | 0.472803 | + | 0.322219i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 26.7789 | + | 46.2393i | 0.894622 | + | 1.54475i | ||||
\(897\) | 24.6730 | 0.823808 | ||||||||
\(898\) | −2.54504 | − | 1.73447i | −0.0849291 | − | 0.0578799i | ||||
\(899\) | 19.2092i | 0.640662i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.819859i | 0.0273135i | ||||||||
\(902\) | −9.40444 | + | 13.7995i | −0.313134 | + | 0.459472i | ||||
\(903\) | 25.2417 | 0.839992 | ||||||||
\(904\) | 2.42347 | − | 10.6461i | 0.0806033 | − | 0.354083i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.88004 | − | 5.69331i | 0.128906 | − | 0.189147i | ||||
\(907\) | − | 6.97759i | − | 0.231687i | −0.993267 | − | 0.115844i | \(-0.963043\pi\) | ||
0.993267 | − | 0.115844i | \(-0.0369571\pi\) | |||||||
\(908\) | −7.29888 | + | 2.86782i | −0.242222 | + | 0.0951721i | ||||
\(909\) | 4.23320i | 0.140406i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 24.2837 | 0.804555 | 0.402278 | − | 0.915518i | \(-0.368219\pi\) | ||||
0.402278 | + | 0.915518i | \(0.368219\pi\) | |||||||
\(912\) | 15.9438 | − | 14.8164i | 0.527951 | − | 0.490619i | ||||
\(913\) | −44.6031 | −1.47615 | ||||||||
\(914\) | 4.17965 | + | 2.84846i | 0.138250 | + | 0.0942188i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 47.8210 | − | 18.7895i | 1.58005 | − | 0.620822i | ||||
\(917\) | − | 16.1473i | − | 0.533232i | ||||||
\(918\) | −2.80005 | + | 4.10861i | −0.0924154 | + | 0.135604i | ||||
\(919\) | −1.25720 | −0.0414712 | −0.0207356 | − | 0.999785i | \(-0.506601\pi\) | ||||
−0.0207356 | + | 0.999785i | \(0.506601\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 12.3760 | 0.407803 | ||||||||
\(922\) | −10.4459 | + | 15.3276i | −0.344016 | + | 0.504787i | ||||
\(923\) | − | 7.59440i | − | 0.249973i | ||||||
\(924\) | 13.5759 | + | 34.5520i | 0.446616 | + | 1.13668i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.75618 | + | 2.55987i | 0.123436 | + | 0.0841225i | ||||
\(927\) | 0.0429270 | 0.00140991 | ||||||||
\(928\) | −3.11384 | − | 20.5257i | −0.102217 | − | 0.673788i | ||||
\(929\) | 10.4933 | 0.344275 | 0.172138 | − | 0.985073i | \(-0.444933\pi\) | ||||
0.172138 | + | 0.985073i | \(0.444933\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 83.2856i | 2.72957i | ||||||||
\(932\) | −18.8382 | − | 47.9450i | −0.617066 | − | 1.57049i | ||||
\(933\) | − | 18.2746i | − | 0.598284i | ||||||
\(934\) | 24.1331 | − | 35.4113i | 0.789660 | − | 1.15869i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −9.56247 | − | 2.17679i | −0.312559 | − | 0.0711508i | ||||
\(937\) | −12.9680 | −0.423648 | −0.211824 | − | 0.977308i | \(-0.567940\pi\) | ||||
−0.211824 | + | 0.977308i | \(0.567940\pi\) | |||||||
\(938\) | 50.5936 | − | 74.2378i | 1.65194 | − | 2.42395i | ||||
\(939\) | 12.7114i | 0.414821i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 44.9947i | − | 1.46678i | −0.679806 | − | 0.733392i | \(-0.737936\pi\) | ||
0.679806 | − | 0.733392i | \(-0.262064\pi\) | |||||||
\(942\) | −25.3080 | − | 17.2476i | −0.824579 | − | 0.561957i | ||||
\(943\) | 21.3799 | 0.696225 | ||||||||
\(944\) | 39.1573 | + | 42.1368i | 1.27446 | + | 1.37143i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.5466 | − | 16.7287i | −0.798077 | − | 0.543896i | ||||
\(947\) | 30.6282i | 0.995283i | 0.867383 | + | 0.497642i | \(0.165801\pi\) | ||||
−0.867383 | + | 0.497642i | \(0.834199\pi\) | |||||||
\(948\) | 19.1259 | − | 7.51481i | 0.621180 | − | 0.244070i | ||||
\(949\) | − | 1.95287i | − | 0.0633927i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.8602 | 0.514304 | ||||||||
\(952\) | −10.4244 | + | 45.7935i | −0.337857 | + | 1.48418i | ||||
\(953\) | −17.5717 | −0.569202 | −0.284601 | − | 0.958646i | \(-0.591861\pi\) | ||||
−0.284601 | + | 0.958646i | \(0.591861\pi\) | |||||||
\(954\) | −0.185725 | + | 0.272520i | −0.00601306 | + | 0.00882317i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −11.6092 | − | 29.5466i | −0.375469 | − | 0.955604i | ||||
\(957\) | − | 14.4235i | − | 0.466244i | ||||||
\(958\) | 41.0068 | + | 27.9465i | 1.32487 | + | 0.902909i | ||||
\(959\) | −77.3213 | −2.49683 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.60380 | −0.116252 | ||||||||
\(962\) | −1.67907 | − | 1.14430i | −0.0541353 | − | 0.0368936i | ||||
\(963\) | 15.4728i | 0.498605i | ||||||||
\(964\) | 20.6007 | + | 52.4308i | 0.663505 | + | 1.68868i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 26.7662 | − | 39.2750i | 0.861189 | − | 1.26365i | ||||
\(967\) | −4.50932 | −0.145010 | −0.0725050 | − | 0.997368i | \(-0.523099\pi\) | ||||
−0.0725050 | + | 0.997368i | \(0.523099\pi\) | |||||||
\(968\) | 2.79112 | − | 12.2611i | 0.0897100 | − | 0.394088i | ||||
\(969\) | 19.1303 | 0.614555 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 35.8512i | − | 1.15052i | −0.817971 | − | 0.575259i | \(-0.804901\pi\) | ||
0.817971 | − | 0.575259i | \(-0.195099\pi\) | |||||||
\(972\) | −1.86147 | + | 0.731395i | −0.0597066 | + | 0.0234595i | ||||
\(973\) | − | 9.24313i | − | 0.296321i | ||||||
\(974\) | −43.1361 | − | 29.3976i | −1.38217 | − | 0.941961i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.322095 | − | 0.346603i | −0.0103100 | − | 0.0110945i | ||||
\(977\) | 43.9704 | 1.40674 | 0.703368 | − | 0.710826i | \(-0.251678\pi\) | ||||
0.703368 | + | 0.710826i | \(0.251678\pi\) | |||||||
\(978\) | −18.9742 | − | 12.9310i | −0.606727 | − | 0.413489i | ||||
\(979\) | 34.9099i | 1.11573i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 12.9561i | − | 0.413657i | ||||||
\(982\) | 16.7144 | − | 24.5257i | 0.533380 | − | 0.782646i | ||||
\(983\) | 4.64187 | 0.148053 | 0.0740263 | − | 0.997256i | \(-0.476415\pi\) | ||||
0.0740263 | + | 0.997256i | \(0.476415\pi\) | |||||||
\(984\) | −8.28615 | − | 1.88625i | −0.264153 | − | 0.0601316i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 10.2761 | − | 15.0785i | 0.327258 | − | 0.480197i | ||||
\(987\) | − | 4.37145i | − | 0.139145i | ||||||
\(988\) | 13.7991 | + | 35.1201i | 0.439009 | + | 1.11732i | ||||
\(989\) | 38.0307i | 1.20930i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −52.9117 | −1.68080 | −0.840398 | − | 0.541970i | \(-0.817679\pi\) | ||||
−0.840398 | + | 0.541970i | \(0.817679\pi\) | |||||||
\(992\) | −29.2738 | + | 4.44098i | −0.929444 | + | 0.141001i | ||||
\(993\) | 23.0315 | 0.730882 | ||||||||
\(994\) | −12.0889 | − | 8.23868i | −0.383437 | − | 0.261315i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −8.30063 | − | 21.1259i | −0.263016 | − | 0.669399i | ||||
\(997\) | 39.4228i | 1.24853i | 0.781211 | + | 0.624266i | \(0.214602\pi\) | ||||
−0.781211 | + | 0.624266i | \(0.785398\pi\) | |||||||
\(998\) | −12.7354 | + | 18.6871i | −0.403132 | + | 0.591529i | ||||
\(999\) | −0.414376 | −0.0131103 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))