Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(100,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.g (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 100.2 | ||
Root | \(0.920620 + 1.59456i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.100 |
Dual form | 189.2.g.b.172.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.920620 | − | 1.59456i | −0.650977 | − | 1.12753i | −0.982886 | − | 0.184214i | \(-0.941026\pi\) |
0.331909 | − | 0.943311i | \(-0.392307\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.695084 | + | 1.20392i | −0.347542 | + | 0.601960i | ||||
\(5\) | −1.33475 | −0.596920 | −0.298460 | − | 0.954422i | \(-0.596473\pi\) | ||||
−0.298460 | + | 0.954422i | \(0.596473\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.54347 | − | 0.728536i | −0.961341 | − | 0.275361i | ||||
\(8\) | −1.12285 | −0.396987 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.22880 | + | 2.12835i | 0.388581 | + | 0.673042i | ||||
\(11\) | −1.51302 | −0.456192 | −0.228096 | − | 0.973639i | \(-0.573250\pi\) | ||||
−0.228096 | + | 0.973639i | \(0.573250\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.58800 | − | 4.48254i | −0.717781 | − | 1.24323i | −0.961877 | − | 0.273482i | \(-0.911824\pi\) |
0.244096 | − | 0.969751i | \(-0.421509\pi\) | |||||||
\(14\) | 1.17987 | + | 4.72642i | 0.315335 | + | 1.26319i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.42388 | + | 4.19829i | 0.605971 | + | 1.04957i | ||||
\(17\) | −0.774463 | − | 1.34141i | −0.187835 | − | 0.325340i | 0.756693 | − | 0.653770i | \(-0.226814\pi\) |
−0.944528 | + | 0.328430i | \(0.893480\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.25211 | + | 2.16872i | −0.287254 | + | 0.497538i | −0.973153 | − | 0.230158i | \(-0.926076\pi\) |
0.685900 | + | 0.727696i | \(0.259409\pi\) | |||||||
\(20\) | 0.927765 | − | 1.60694i | 0.207455 | − | 0.359322i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.39291 | + | 2.41260i | 0.296970 | + | 0.514367i | ||||
\(23\) | 7.36079 | 1.53483 | 0.767415 | − | 0.641151i | \(-0.221543\pi\) | ||||
0.767415 | + | 0.641151i | \(0.221543\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.21843 | −0.643687 | ||||||||
\(26\) | −4.76513 | + | 8.25344i | −0.934518 | + | 1.61863i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.64502 | − | 2.55574i | 0.499862 | − | 0.482990i | ||||
\(29\) | 0.0309713 | − | 0.0536439i | 0.00575123 | − | 0.00996143i | −0.863135 | − | 0.504972i | \(-0.831503\pi\) |
0.868887 | + | 0.495011i | \(0.164836\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.92388 | − | 3.33227i | 0.345540 | − | 0.598493i | −0.639912 | − | 0.768448i | \(-0.721029\pi\) |
0.985452 | + | 0.169956i | \(0.0543625\pi\) | |||||||
\(32\) | 3.34011 | − | 5.78523i | 0.590453 | − | 1.02269i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.42597 | + | 2.46986i | −0.244552 | + | 0.423577i | ||||
\(35\) | 3.39490 | + | 0.972416i | 0.573844 | + | 0.164368i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.281608 | + | 0.487760i | −0.0462961 | + | 0.0801872i | −0.888245 | − | 0.459370i | \(-0.848075\pi\) |
0.841949 | + | 0.539557i | \(0.181408\pi\) | |||||||
\(38\) | 4.61087 | 0.747982 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.49873 | 0.236969 | ||||||||
\(41\) | −4.51188 | − | 7.81481i | −0.704638 | − | 1.22047i | −0.966822 | − | 0.255450i | \(-0.917776\pi\) |
0.262185 | − | 0.965018i | \(-0.415557\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.09988 | − | 8.83325i | 0.777724 | − | 1.34706i | −0.155526 | − | 0.987832i | \(-0.549707\pi\) |
0.933251 | − | 0.359226i | \(-0.116959\pi\) | |||||||
\(44\) | 1.05167 | − | 1.82155i | 0.158546 | − | 0.274609i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.77649 | − | 11.7372i | −0.999139 | − | 1.73056i | ||||
\(47\) | −4.75925 | − | 8.24327i | −0.694209 | − | 1.20240i | −0.970447 | − | 0.241315i | \(-0.922421\pi\) |
0.276238 | − | 0.961089i | \(-0.410912\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.93847 | + | 3.70602i | 0.848353 | + | 0.529431i | ||||
\(50\) | 2.96296 | + | 5.13199i | 0.419025 | + | 0.725773i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.19550 | 0.997836 | ||||||||
\(53\) | −0.755374 | − | 1.30835i | −0.103759 | − | 0.179715i | 0.809472 | − | 0.587159i | \(-0.199754\pi\) |
−0.913230 | + | 0.407444i | \(0.866420\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.01950 | 0.272310 | ||||||||
\(56\) | 2.85593 | + | 0.818036i | 0.381640 | + | 0.109315i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.114051 | −0.0149757 | ||||||||
\(59\) | −4.22166 | + | 7.31212i | −0.549613 | + | 0.951957i | 0.448688 | + | 0.893688i | \(0.351891\pi\) |
−0.998301 | + | 0.0582689i | \(0.981442\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.61958 | − | 2.80520i | −0.207367 | − | 0.359169i | 0.743518 | − | 0.668716i | \(-0.233156\pi\) |
−0.950884 | + | 0.309547i | \(0.899823\pi\) | |||||||
\(62\) | −7.08467 | −0.899754 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.60434 | −0.325543 | ||||||||
\(65\) | 3.45434 | + | 5.98309i | 0.428458 | + | 0.742111i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.46670 | + | 6.00449i | −0.423524 | + | 0.733566i | −0.996281 | − | 0.0861595i | \(-0.972541\pi\) |
0.572757 | + | 0.819725i | \(0.305874\pi\) | |||||||
\(68\) | 2.15327 | 0.261122 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.57484 | − | 6.30861i | −0.188230 | − | 0.754023i | ||||
\(71\) | 12.3304 | 1.46335 | 0.731673 | − | 0.681656i | \(-0.238740\pi\) | ||||
0.731673 | + | 0.681656i | \(0.238740\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.37936 | − | 2.38912i | −0.161442 | − | 0.279625i | 0.773944 | − | 0.633254i | \(-0.218281\pi\) |
−0.935386 | + | 0.353629i | \(0.884948\pi\) | |||||||
\(74\) | 1.03702 | 0.120551 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.74064 | − | 3.01488i | −0.199665 | − | 0.345830i | ||||
\(77\) | 3.84831 | + | 1.10229i | 0.438556 | + | 0.125617i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.95969 | + | 5.12633i | 0.332991 | + | 0.576758i | 0.983097 | − | 0.183086i | \(-0.0586087\pi\) |
−0.650106 | + | 0.759844i | \(0.725275\pi\) | |||||||
\(80\) | −3.23529 | − | 5.60368i | −0.361716 | − | 0.626511i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.30746 | + | 14.3889i | −0.917406 | + | 1.58899i | ||||
\(83\) | −2.80111 | + | 4.85167i | −0.307462 | + | 0.532540i | −0.977806 | − | 0.209510i | \(-0.932813\pi\) |
0.670344 | + | 0.742050i | \(0.266146\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.03372 | + | 1.79045i | 0.112122 | + | 0.194202i | ||||
\(86\) | −18.7802 | −2.02512 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.69889 | 0.181102 | ||||||||
\(89\) | −0.703287 | + | 1.21813i | −0.0745483 | + | 0.129121i | −0.900890 | − | 0.434048i | \(-0.857085\pi\) |
0.826341 | + | 0.563169i | \(0.190418\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.31680 | + | 13.2867i | 0.347695 | + | 1.39282i | ||||
\(92\) | −5.11636 | + | 8.86180i | −0.533418 | + | 0.923906i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.76293 | + | 15.1778i | −0.903827 | + | 1.56548i | ||||
\(95\) | 1.67126 | − | 2.89470i | 0.171467 | − | 0.296990i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.09713 | + | 10.5605i | −0.619070 | + | 1.07226i | 0.370586 | + | 0.928798i | \(0.379157\pi\) |
−0.989656 | + | 0.143462i | \(0.954176\pi\) | |||||||
\(98\) | 0.442393 | − | 12.8811i | 0.0446885 | − | 1.30119i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.23708 | − | 3.87474i | 0.223708 | − | 0.387474i | ||||
\(101\) | −1.11867 | −0.111312 | −0.0556560 | − | 0.998450i | \(-0.517725\pi\) | ||||
−0.0556560 | + | 0.998450i | \(0.517725\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.93045 | 0.190213 | 0.0951063 | − | 0.995467i | \(-0.469681\pi\) | ||||
0.0951063 | + | 0.995467i | \(0.469681\pi\) | |||||||
\(104\) | 2.90593 | + | 5.03322i | 0.284950 | + | 0.493548i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.39082 | + | 2.40898i | −0.135089 | + | 0.233981i | ||||
\(107\) | −2.88969 | + | 5.00509i | −0.279357 | + | 0.483860i | −0.971225 | − | 0.238163i | \(-0.923455\pi\) |
0.691868 | + | 0.722024i | \(0.256788\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.12106 | − | 7.13788i | −0.394726 | − | 0.683685i | 0.598340 | − | 0.801242i | \(-0.295827\pi\) |
−0.993066 | + | 0.117557i | \(0.962494\pi\) | |||||||
\(110\) | −1.85920 | − | 3.22022i | −0.177267 | − | 0.307036i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.10647 | − | 12.4441i | −0.293534 | − | 1.17586i | ||||
\(113\) | −7.25105 | − | 12.5592i | −0.682121 | − | 1.18147i | −0.974332 | − | 0.225115i | \(-0.927724\pi\) |
0.292211 | − | 0.956354i | \(-0.405609\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.82483 | −0.916170 | ||||||||
\(116\) | 0.0430553 | + | 0.0745740i | 0.00399759 | + | 0.00692403i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 15.5462 | 1.43114 | ||||||||
\(119\) | 0.992558 | + | 3.97606i | 0.0909877 | + | 0.364485i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.71078 | −0.791889 | ||||||||
\(122\) | −2.98204 | + | 5.16505i | −0.269982 | + | 0.467622i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.67452 | + | 4.63241i | 0.240179 | + | 0.416002i | ||||
\(125\) | 10.9696 | 0.981149 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.50004 | 0.754257 | 0.377128 | − | 0.926161i | \(-0.376912\pi\) | ||||
0.377128 | + | 0.926161i | \(0.376912\pi\) | |||||||
\(128\) | −4.28260 | − | 7.41769i | −0.378532 | − | 0.655637i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.36027 | − | 11.0163i | 0.557832 | − | 0.966194i | ||||
\(131\) | 2.01346 | 0.175917 | 0.0879585 | − | 0.996124i | \(-0.471966\pi\) | ||||
0.0879585 | + | 0.996124i | \(0.471966\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.76469 | − | 4.60386i | 0.413151 | − | 0.399205i | ||||
\(134\) | 12.7660 | 1.10282 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.869605 | + | 1.50620i | 0.0745680 | + | 0.129156i | ||||
\(137\) | −2.21740 | −0.189445 | −0.0947225 | − | 0.995504i | \(-0.530196\pi\) | ||||
−0.0947225 | + | 0.995504i | \(0.530196\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.377669 | + | 0.654143i | 0.0320335 | + | 0.0554836i | 0.881598 | − | 0.472002i | \(-0.156468\pi\) |
−0.849564 | + | 0.527485i | \(0.823135\pi\) | |||||||
\(140\) | −3.53045 | + | 3.41128i | −0.298378 | + | 0.288306i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.3516 | − | 19.6615i | −0.952604 | − | 1.64996i | ||||
\(143\) | 3.91568 | + | 6.78216i | 0.327446 | + | 0.567153i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0413391 | + | 0.0716014i | −0.00343303 | + | 0.00594618i | ||||
\(146\) | −2.53973 | + | 4.39894i | −0.210189 | + | 0.364059i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.391482 | − | 0.678068i | −0.0321797 | − | 0.0557368i | ||||
\(149\) | −6.58499 | −0.539463 | −0.269732 | − | 0.962936i | \(-0.586935\pi\) | ||||
−0.269732 | + | 0.962936i | \(0.586935\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.6671 | 1.03083 | 0.515417 | − | 0.856939i | \(-0.327637\pi\) | ||||
0.515417 | + | 0.856939i | \(0.327637\pi\) | |||||||
\(152\) | 1.40593 | − | 2.43514i | 0.114036 | − | 0.197516i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.78517 | − | 7.15115i | −0.143853 | − | 0.576256i | ||||
\(155\) | −2.56791 | + | 4.44775i | −0.206260 | + | 0.357252i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.65372 | − | 14.9887i | 0.690642 | − | 1.19623i | −0.280986 | − | 0.959712i | \(-0.590662\pi\) |
0.971628 | − | 0.236515i | \(-0.0760052\pi\) | |||||||
\(158\) | 5.44950 | − | 9.43882i | 0.433539 | − | 0.750912i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.45822 | + | 7.72186i | −0.352453 | + | 0.610467i | ||||
\(161\) | −18.7219 | − | 5.36260i | −1.47549 | − | 0.422632i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.10963 | − | 10.5822i | 0.478543 | − | 0.828861i | −0.521154 | − | 0.853463i | \(-0.674498\pi\) |
0.999697 | + | 0.0246014i | \(0.00783167\pi\) | |||||||
\(164\) | 12.5445 | 0.979564 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.3150 | 0.800602 | ||||||||
\(167\) | −1.76248 | − | 3.05270i | −0.136385 | − | 0.236225i | 0.789741 | − | 0.613440i | \(-0.210215\pi\) |
−0.926126 | + | 0.377215i | \(0.876882\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.89546 | + | 11.9433i | −0.530420 | + | 0.918714i | ||||
\(170\) | 1.90332 | − | 3.29665i | 0.145978 | − | 0.252842i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.08968 | + | 12.2797i | 0.540583 | + | 0.936318i | ||||
\(173\) | 5.07046 | + | 8.78229i | 0.385500 | + | 0.667705i | 0.991838 | − | 0.127502i | \(-0.0406958\pi\) |
−0.606339 | + | 0.795206i | \(0.707362\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.18599 | + | 2.34474i | 0.618802 | + | 0.177246i | ||||
\(176\) | −3.66738 | − | 6.35208i | −0.276439 | − | 0.478806i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.58984 | 0.194117 | ||||||||
\(179\) | −0.850579 | − | 1.47325i | −0.0635752 | − | 0.110116i | 0.832486 | − | 0.554046i | \(-0.186917\pi\) |
−0.896061 | + | 0.443931i | \(0.853584\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.9941 | −1.26316 | −0.631581 | − | 0.775310i | \(-0.717594\pi\) | ||||
−0.631581 | + | 0.775310i | \(0.717594\pi\) | |||||||
\(182\) | 18.1329 | − | 17.5208i | 1.34410 | − | 1.29873i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.26505 | −0.609308 | ||||||||
\(185\) | 0.375877 | − | 0.651039i | 0.0276351 | − | 0.0478653i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.17178 | + | 2.02957i | 0.0856887 | + | 0.148417i | ||||
\(188\) | 13.2323 | 0.965066 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.15437 | −0.446485 | ||||||||
\(191\) | 11.3470 | + | 19.6535i | 0.821038 | + | 1.42208i | 0.904910 | + | 0.425603i | \(0.139938\pi\) |
−0.0838717 | + | 0.996477i | \(0.526729\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.09349 | + | 5.35808i | −0.222674 | + | 0.385683i | −0.955619 | − | 0.294605i | \(-0.904812\pi\) |
0.732945 | + | 0.680288i | \(0.238145\pi\) | |||||||
\(194\) | 22.4526 | 1.61200 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.58948 | + | 4.57345i | −0.613534 | + | 0.326675i | ||||
\(197\) | −9.77010 | −0.696091 | −0.348045 | − | 0.937478i | \(-0.613154\pi\) | ||||
−0.348045 | + | 0.937478i | \(0.613154\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.33973 | − | 7.51664i | −0.307636 | − | 0.532840i | 0.670209 | − | 0.742172i | \(-0.266204\pi\) |
−0.977845 | + | 0.209332i | \(0.932871\pi\) | |||||||
\(200\) | 3.61381 | 0.255535 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.02987 | + | 1.78379i | 0.0724615 | + | 0.125507i | ||||
\(203\) | −0.117856 | + | 0.113878i | −0.00827188 | + | 0.00799267i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.02225 | + | 10.4308i | 0.420612 | + | 0.728522i | ||||
\(206\) | −1.77721 | − | 3.07822i | −0.123824 | − | 0.214470i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.5460 | − | 21.7303i | 0.869909 | − | 1.50673i | ||||
\(209\) | 1.89446 | − | 3.28130i | 0.131043 | − | 0.226973i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.84219 | − | 4.92283i | −0.195665 | − | 0.338901i | 0.751453 | − | 0.659786i | \(-0.229353\pi\) |
−0.947118 | + | 0.320885i | \(0.896020\pi\) | |||||||
\(212\) | 2.10019 | 0.144242 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.6412 | 0.727420 | ||||||||
\(215\) | −6.80708 | + | 11.7902i | −0.464239 | + | 0.804086i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.32102 | + | 7.07390i | −0.496983 | + | 0.480207i | ||||
\(218\) | −7.58786 | + | 13.1426i | −0.513915 | + | 0.890126i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.40372 | + | 2.43132i | −0.0946390 | + | 0.163920i | ||||
\(221\) | −4.00862 | + | 6.94313i | −0.269649 | + | 0.467045i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.86133 | − | 10.1521i | 0.392503 | − | 0.679836i | −0.600276 | − | 0.799793i | \(-0.704942\pi\) |
0.992779 | + | 0.119957i | \(0.0382758\pi\) | |||||||
\(224\) | −12.7102 | + | 12.2812i | −0.849236 | + | 0.820571i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.3509 | + | 23.1245i | −0.888091 | + | 1.53822i | ||||
\(227\) | −11.1831 | −0.742247 | −0.371123 | − | 0.928584i | \(-0.621027\pi\) | ||||
−0.371123 | + | 0.928584i | \(0.621027\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.65647 | −0.638118 | −0.319059 | − | 0.947735i | \(-0.603367\pi\) | ||||
−0.319059 | + | 0.947735i | \(0.603367\pi\) | |||||||
\(230\) | 9.04494 | + | 15.6663i | 0.596406 | + | 1.03301i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0347761 | + | 0.0602340i | −0.00228317 | + | 0.00395456i | ||||
\(233\) | 9.64492 | − | 16.7055i | 0.631860 | − | 1.09441i | −0.355311 | − | 0.934748i | \(-0.615625\pi\) |
0.987171 | − | 0.159666i | \(-0.0510416\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.35243 | + | 11.0027i | 0.414387 | + | 0.717739i | ||||
\(236\) | −5.86881 | − | 10.1651i | −0.382027 | − | 0.661690i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.42630 | − | 5.24314i | 0.351735 | − | 0.339862i | ||||
\(239\) | 0.194641 | + | 0.337128i | 0.0125903 | + | 0.0218070i | 0.872252 | − | 0.489057i | \(-0.162659\pi\) |
−0.859662 | + | 0.510864i | \(0.829326\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.6361 | 0.685134 | 0.342567 | − | 0.939493i | \(-0.388704\pi\) | ||||
0.342567 | + | 0.939493i | \(0.388704\pi\) | |||||||
\(242\) | 8.01932 | + | 13.8899i | 0.515502 | + | 0.892875i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.50299 | 0.288274 | ||||||||
\(245\) | −7.92639 | − | 4.94662i | −0.506399 | − | 0.316028i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.9618 | 0.824741 | ||||||||
\(248\) | −2.16023 | + | 3.74163i | −0.137175 | + | 0.237594i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.0988 | − | 17.4917i | −0.638705 | − | 1.10627i | ||||
\(251\) | 3.26628 | 0.206166 | 0.103083 | − | 0.994673i | \(-0.467129\pi\) | ||||
0.103083 | + | 0.994673i | \(0.467129\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.1370 | −0.700176 | ||||||||
\(254\) | −7.82531 | − | 13.5538i | −0.491004 | − | 0.850443i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4896 | + | 18.1686i | −0.655603 | + | 1.13554i | ||||
\(257\) | 4.69573 | 0.292912 | 0.146456 | − | 0.989217i | \(-0.453213\pi\) | ||||
0.146456 | + | 0.989217i | \(0.453213\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.07161 | − | 1.03544i | 0.0665867 | − | 0.0643391i | ||||
\(260\) | −9.60421 | −0.595628 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.85363 | − | 3.21059i | −0.114518 | − | 0.198351i | ||||
\(263\) | −19.5498 | −1.20549 | −0.602747 | − | 0.797932i | \(-0.705927\pi\) | ||||
−0.602747 | + | 0.797932i | \(0.705927\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.00824 | + | 1.74632i | 0.0619355 | + | 0.107276i | ||||
\(266\) | −11.7276 | − | 3.35918i | −0.719066 | − | 0.205965i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.81929 | − | 8.34725i | −0.294385 | − | 0.509890i | ||||
\(269\) | −7.88365 | − | 13.6549i | −0.480675 | − | 0.832553i | 0.519079 | − | 0.854726i | \(-0.326275\pi\) |
−0.999754 | + | 0.0221730i | \(0.992942\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.39882 | − | 12.8151i | 0.449446 | − | 0.778464i | −0.548904 | − | 0.835886i | \(-0.684955\pi\) |
0.998350 | + | 0.0574218i | \(0.0182880\pi\) | |||||||
\(272\) | 3.75442 | − | 6.50285i | 0.227645 | − | 0.394293i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.04138 | + | 3.53578i | 0.123324 | + | 0.213604i | ||||
\(275\) | 4.86954 | 0.293644 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.45122 | −0.447701 | −0.223850 | − | 0.974624i | \(-0.571863\pi\) | ||||
−0.223850 | + | 0.974624i | \(0.571863\pi\) | |||||||
\(278\) | 0.695380 | − | 1.20443i | 0.0417061 | − | 0.0722371i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.81196 | − | 1.09188i | −0.227808 | − | 0.0652521i | ||||
\(281\) | 12.9938 | − | 22.5060i | 0.775146 | − | 1.34259i | −0.159566 | − | 0.987187i | \(-0.551009\pi\) |
0.934712 | − | 0.355406i | \(-0.115657\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.37768 | + | 16.2426i | −0.557445 | + | 0.965524i | 0.440263 | + | 0.897869i | \(0.354885\pi\) |
−0.997709 | + | 0.0676550i | \(0.978448\pi\) | |||||||
\(284\) | −8.57064 | + | 14.8448i | −0.508574 | + | 0.880876i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.20971 | − | 12.4876i | 0.426319 | − | 0.738406i | ||||
\(287\) | 5.78246 | + | 23.1638i | 0.341328 | + | 1.36732i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.30041 | − | 12.6447i | 0.429436 | − | 0.743805i | ||||
\(290\) | 0.152230 | 0.00893928 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.83507 | 0.224431 | ||||||||
\(293\) | 1.23089 | + | 2.13196i | 0.0719093 | + | 0.124551i | 0.899738 | − | 0.436430i | \(-0.143757\pi\) |
−0.827829 | + | 0.560981i | \(0.810424\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.63487 | − | 9.75988i | 0.328075 | − | 0.568242i | ||||
\(296\) | 0.316203 | − | 0.547680i | 0.0183790 | − | 0.0318333i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.06227 | + | 10.5002i | 0.351178 | + | 0.608258i | ||||
\(299\) | −19.0497 | − | 32.9950i | −1.10167 | − | 1.90815i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.4067 | + | 18.7517i | −1.11858 | + | 1.08083i | ||||
\(302\) | −11.6616 | − | 20.1985i | −0.671050 | − | 1.16229i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −12.1399 | −0.696270 | ||||||||
\(305\) | 2.16175 | + | 3.74425i | 0.123781 | + | 0.214395i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.66277 | −0.266118 | −0.133059 | − | 0.991108i | \(-0.542480\pi\) | ||||
−0.133059 | + | 0.991108i | \(0.542480\pi\) | |||||||
\(308\) | −4.00196 | + | 3.86688i | −0.228033 | + | 0.220336i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.45629 | 0.537081 | ||||||||
\(311\) | 13.7410 | − | 23.8002i | 0.779183 | − | 1.34958i | −0.153231 | − | 0.988190i | \(-0.548968\pi\) |
0.932413 | − | 0.361393i | \(-0.117699\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.74666 | − | 4.75735i | −0.155250 | − | 0.268901i | 0.777900 | − | 0.628388i | \(-0.216285\pi\) |
−0.933150 | + | 0.359487i | \(0.882952\pi\) | |||||||
\(314\) | −31.8671 | −1.79837 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.22893 | −0.462914 | ||||||||
\(317\) | 4.93879 | + | 8.55424i | 0.277390 | + | 0.480454i | 0.970735 | − | 0.240152i | \(-0.0771972\pi\) |
−0.693345 | + | 0.720606i | \(0.743864\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0468601 | + | 0.0811641i | −0.00262366 | + | 0.00454432i | ||||
\(320\) | 3.47615 | 0.194323 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.68480 | + | 34.7902i | 0.483985 | + | 1.93878i | ||||
\(323\) | 3.87885 | 0.215825 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.32930 | + | 14.4268i | 0.462026 | + | 0.800253i | ||||
\(326\) | −22.4986 | −1.24608 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.06616 | + | 8.77485i | 0.279732 | + | 0.484510i | ||||
\(329\) | 6.09950 | + | 24.4338i | 0.336276 | + | 1.34708i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.3471 | + | 17.9217i | 0.568729 | + | 0.985067i | 0.996692 | + | 0.0812710i | \(0.0258979\pi\) |
−0.427963 | + | 0.903796i | \(0.640769\pi\) | |||||||
\(332\) | −3.89401 | − | 6.74463i | −0.213712 | − | 0.370160i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.24514 | + | 5.62076i | −0.177566 | + | 0.307554i | ||||
\(335\) | 4.62718 | − | 8.01452i | 0.252810 | − | 0.437880i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.748747 | + | 1.29687i | 0.0407869 | + | 0.0706449i | 0.885698 | − | 0.464261i | \(-0.153680\pi\) |
−0.844911 | + | 0.534906i | \(0.820347\pi\) | |||||||
\(338\) | 25.3924 | 1.38116 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.87408 | −0.155869 | ||||||||
\(341\) | −2.91087 | + | 5.04177i | −0.157632 | + | 0.273027i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.4044 | − | 13.7525i | −0.669772 | − | 0.742567i | ||||
\(344\) | −5.72639 | + | 9.91840i | −0.308746 | + | 0.534764i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.33593 | − | 16.1703i | 0.501903 | − | 0.869321i | ||||
\(347\) | −14.7694 | + | 25.5813i | −0.792862 | + | 1.37328i | 0.131326 | + | 0.991339i | \(0.458077\pi\) |
−0.924188 | + | 0.381938i | \(0.875257\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.0006 | − | 31.1780i | 0.963551 | − | 1.66892i | 0.250094 | − | 0.968222i | \(-0.419539\pi\) |
0.713458 | − | 0.700698i | \(-0.247128\pi\) | |||||||
\(350\) | −3.79735 | − | 15.2117i | −0.202977 | − | 0.813098i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.05363 | + | 8.75315i | −0.269360 | + | 0.466545i | ||||
\(353\) | 29.4930 | 1.56975 | 0.784877 | − | 0.619652i | \(-0.212726\pi\) | ||||
0.784877 | + | 0.619652i | \(0.212726\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.4580 | −0.873500 | ||||||||
\(356\) | −0.977687 | − | 1.69340i | −0.0518173 | − | 0.0897502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.56612 | + | 2.71260i | −0.0827720 | + | 0.143365i | ||||
\(359\) | −2.70535 | + | 4.68580i | −0.142783 | + | 0.247307i | −0.928544 | − | 0.371224i | \(-0.878938\pi\) |
0.785761 | + | 0.618531i | \(0.212272\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.36444 | + | 11.0235i | 0.334971 | + | 0.580186i | ||||
\(362\) | 15.6451 | + | 27.0981i | 0.822289 | + | 1.42425i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.3015 | − | 5.24218i | −0.959261 | − | 0.274765i | ||||
\(365\) | 1.84110 | + | 3.18888i | 0.0963676 | + | 0.166914i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.0843 | −1.20499 | −0.602496 | − | 0.798122i | \(-0.705827\pi\) | ||||
−0.602496 | + | 0.798122i | \(0.705827\pi\) | |||||||
\(368\) | 17.8417 | + | 30.9027i | 0.930063 | + | 1.61092i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.38416 | −0.0719591 | ||||||||
\(371\) | 0.968093 | + | 3.87805i | 0.0502609 | + | 0.201339i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.5030 | 1.11338 | 0.556692 | − | 0.830719i | \(-0.312070\pi\) | ||||
0.556692 | + | 0.830719i | \(0.312070\pi\) | |||||||
\(374\) | 2.15752 | − | 3.73694i | 0.111563 | − | 0.193232i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.34392 | + | 9.25595i | 0.275592 | + | 0.477339i | ||||
\(377\) | −0.320615 | −0.0165125 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.72168 | 0.293903 | 0.146952 | − | 0.989144i | \(-0.453054\pi\) | ||||
0.146952 | + | 0.989144i | \(0.453054\pi\) | |||||||
\(380\) | 2.32333 | + | 4.02412i | 0.119184 | + | 0.206433i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 20.8925 | − | 36.1869i | 1.06895 | − | 1.85148i | ||||
\(383\) | 34.9209 | 1.78437 | 0.892187 | − | 0.451666i | \(-0.149170\pi\) | ||||
0.892187 | + | 0.451666i | \(0.149170\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.13654 | − | 1.47128i | −0.261783 | − | 0.0749834i | ||||
\(386\) | 11.3917 | 0.579823 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.47603 | − | 14.6809i | −0.430305 | − | 0.745311i | ||||
\(389\) | 28.8822 | 1.46438 | 0.732192 | − | 0.681098i | \(-0.238497\pi\) | ||||
0.732192 | + | 0.681098i | \(0.238497\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.70066 | − | 9.87383i | −0.288295 | − | 0.499341i | ||||
\(392\) | −6.66801 | − | 4.16130i | −0.336785 | − | 0.210177i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.99455 | + | 15.5790i | 0.453139 | + | 0.784860i | ||||
\(395\) | −3.95046 | − | 6.84239i | −0.198769 | − | 0.344278i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.59226 | − | 9.68607i | 0.280667 | − | 0.486130i | −0.690882 | − | 0.722968i | \(-0.742778\pi\) |
0.971549 | + | 0.236838i | \(0.0761109\pi\) | |||||||
\(398\) | −7.99049 | + | 13.8399i | −0.400527 | + | 0.693734i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.80111 | − | 13.5119i | −0.390056 | − | 0.675596i | ||||
\(401\) | 1.08212 | 0.0540386 | 0.0270193 | − | 0.999635i | \(-0.491398\pi\) | ||||
0.0270193 | + | 0.999635i | \(0.491398\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.9160 | −0.992088 | ||||||||
\(404\) | 0.777570 | − | 1.34679i | 0.0386856 | − | 0.0670054i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.290086 | + | 0.0830905i | 0.0143967 | + | 0.00412371i | ||||
\(407\) | 0.426078 | − | 0.737988i | 0.0211199 | − | 0.0365807i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.8674 | − | 18.8229i | 0.537360 | − | 0.930735i | −0.461685 | − | 0.887044i | \(-0.652755\pi\) |
0.999045 | − | 0.0436908i | \(-0.0139116\pi\) | |||||||
\(410\) | 11.0884 | − | 19.2057i | 0.547618 | − | 0.948501i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.34182 | + | 2.32410i | −0.0661069 | + | 0.114500i | ||||
\(413\) | 16.0648 | − | 15.5225i | 0.790497 | − | 0.763814i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.73879 | − | 6.47578i | 0.183530 | − | 0.317884i | ||||
\(416\) | −34.5767 | −1.69526 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.97632 | −0.341223 | ||||||||
\(419\) | −12.5906 | − | 21.8075i | −0.615090 | − | 1.06537i | −0.990369 | − | 0.138455i | \(-0.955787\pi\) |
0.375279 | − | 0.926912i | \(-0.377547\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.8304 | + | 25.6869i | −0.722788 | + | 1.25191i | 0.237090 | + | 0.971488i | \(0.423806\pi\) |
−0.959878 | + | 0.280418i | \(0.909527\pi\) | |||||||
\(422\) | −5.23316 | + | 9.06411i | −0.254746 | + | 0.441234i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.848171 | + | 1.46907i | 0.0411908 | + | 0.0713446i | ||||
\(425\) | 2.49256 | + | 4.31724i | 0.120907 | + | 0.209417i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.07567 | + | 8.31487i | 0.100449 | + | 0.402385i | ||||
\(428\) | −4.01715 | − | 6.95791i | −0.194176 | − | 0.336323i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 25.0669 | 1.20884 | ||||||||
\(431\) | −2.44517 | − | 4.23516i | −0.117780 | − | 0.204000i | 0.801108 | − | 0.598520i | \(-0.204244\pi\) |
−0.918887 | + | 0.394520i | \(0.870911\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.71430 | 0.466839 | 0.233420 | − | 0.972376i | \(-0.425008\pi\) | ||||
0.233420 | + | 0.972376i | \(0.425008\pi\) | |||||||
\(434\) | 18.0196 | + | 5.16144i | 0.864970 | + | 0.247757i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.4579 | 0.548735 | ||||||||
\(437\) | −9.21651 | + | 15.9635i | −0.440885 | + | 0.763636i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.41176 | + | 12.8375i | 0.353744 | + | 0.612703i | 0.986902 | − | 0.161320i | \(-0.0515751\pi\) |
−0.633158 | + | 0.774022i | \(0.718242\pi\) | |||||||
\(440\) | −2.26760 | −0.108103 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.7617 | 0.702141 | ||||||||
\(443\) | −10.9510 | − | 18.9676i | −0.520297 | − | 0.901180i | −0.999722 | − | 0.0235972i | \(-0.992488\pi\) |
0.479425 | − | 0.877583i | \(-0.340845\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.938715 | − | 1.62590i | 0.0444994 | − | 0.0770751i | ||||
\(446\) | −21.5842 | −1.02204 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.62406 | + | 1.89736i | 0.312957 | + | 0.0896416i | ||||
\(449\) | −21.4952 | −1.01442 | −0.507212 | − | 0.861822i | \(-0.669324\pi\) | ||||
−0.507212 | + | 0.861822i | \(0.669324\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.82655 | + | 11.8239i | 0.321450 | + | 0.556767i | ||||
\(452\) | 20.1603 | 0.948263 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.2954 | + | 17.8321i | 0.483185 | + | 0.836902i | ||||
\(455\) | −4.42711 | − | 17.7344i | −0.207546 | − | 0.831402i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −20.3128 | − | 35.1827i | −0.950190 | − | 1.64578i | −0.745009 | − | 0.667054i | \(-0.767555\pi\) |
−0.205181 | − | 0.978724i | \(-0.565778\pi\) | |||||||
\(458\) | 8.88995 | + | 15.3978i | 0.415400 | + | 0.719494i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.82908 | − | 11.8283i | 0.318408 | − | 0.551498i | ||||
\(461\) | −1.41541 | + | 2.45155i | −0.0659220 | + | 0.114180i | −0.897103 | − | 0.441822i | \(-0.854332\pi\) |
0.831181 | + | 0.556003i | \(0.187666\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.9324 | − | 24.1317i | −0.647494 | − | 1.12149i | −0.983719 | − | 0.179711i | \(-0.942484\pi\) |
0.336225 | − | 0.941782i | \(-0.390850\pi\) | |||||||
\(464\) | 0.300284 | 0.0139403 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −35.5173 | −1.64531 | ||||||||
\(467\) | 13.3219 | − | 23.0742i | 0.616464 | − | 1.06775i | −0.373661 | − | 0.927565i | \(-0.621898\pi\) |
0.990126 | − | 0.140182i | \(-0.0447689\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.1919 | − | 12.7466i | 0.609146 | − | 0.588585i | ||||
\(470\) | 11.6964 | − | 20.2587i | 0.539513 | − | 0.934463i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.74028 | − | 8.21041i | 0.218189 | − | 0.377915i | ||||
\(473\) | −7.71620 | + | 13.3648i | −0.354791 | + | 0.614516i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.02983 | − | 6.97987i | 0.184901 | − | 0.320258i | ||||
\(476\) | −5.47677 | − | 1.56873i | −0.251027 | − | 0.0719027i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.358381 | − | 0.620734i | 0.0163920 | − | 0.0283917i | ||||
\(479\) | 31.5791 | 1.44289 | 0.721443 | − | 0.692474i | \(-0.243479\pi\) | ||||
0.721443 | + | 0.692474i | \(0.243479\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.91520 | 0.132922 | ||||||||
\(482\) | −9.79185 | − | 16.9600i | −0.446007 | − | 0.772506i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.05472 | − | 10.4871i | 0.275215 | − | 0.476686i | ||||
\(485\) | 8.13817 | − | 14.0957i | 0.369535 | − | 0.640054i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.153087 | − | 0.265154i | −0.00693703 | − | 0.0120153i | 0.862536 | − | 0.505996i | \(-0.168875\pi\) |
−0.869473 | + | 0.493980i | \(0.835541\pi\) | |||||||
\(488\) | 1.81855 | + | 3.14982i | 0.0823218 | + | 0.142586i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.590486 | + | 17.1931i | −0.0266754 | + | 0.776704i | ||||
\(491\) | 9.06981 | + | 15.7094i | 0.409315 | + | 0.708954i | 0.994813 | − | 0.101720i | \(-0.0324345\pi\) |
−0.585498 | + | 0.810674i | \(0.699101\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0959447 | −0.00432113 | ||||||||
\(494\) | −11.9329 | − | 20.6684i | −0.536887 | − | 0.929916i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.6531 | 0.837549 | ||||||||
\(497\) | −31.3619 | − | 8.98311i | −1.40677 | − | 0.402948i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.3091 | −0.953928 | −0.476964 | − | 0.878923i | \(-0.658263\pi\) | ||||
−0.476964 | + | 0.878923i | \(0.658263\pi\) | |||||||
\(500\) | −7.62478 | + | 13.2065i | −0.340990 | + | 0.590613i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.00701 | − | 5.20829i | −0.134209 | − | 0.232457i | ||||
\(503\) | 17.0738 | 0.761285 | 0.380642 | − | 0.924722i | \(-0.375703\pi\) | ||||
0.380642 | + | 0.924722i | \(0.375703\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.49315 | 0.0664443 | ||||||||
\(506\) | 10.2529 | + | 17.7586i | 0.455799 | + | 0.789466i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.90824 | + | 10.2334i | −0.262136 | + | 0.454032i | ||||
\(509\) | −36.7735 | −1.62996 | −0.814979 | − | 0.579490i | \(-0.803252\pi\) | ||||
−0.814979 | + | 0.579490i | \(0.803252\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.76780 | + | 7.08155i | 0.0782027 | + | 0.313270i | ||||
\(512\) | 21.4975 | 0.950065 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.32299 | − | 7.48764i | −0.190679 | − | 0.330265i | ||||
\(515\) | −2.57667 | −0.113542 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.20083 | + | 12.4722i | 0.316692 | + | 0.548527i | ||||
\(518\) | −2.63762 | − | 0.755504i | −0.115890 | − | 0.0331949i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.87870 | − | 6.71810i | −0.170092 | − | 0.294608i | ||||
\(521\) | 9.57535 | + | 16.5850i | 0.419504 | + | 0.726602i | 0.995890 | − | 0.0905758i | \(-0.0288707\pi\) |
−0.576386 | + | 0.817178i | \(0.695537\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.9715 | + | 36.3236i | −0.917018 | + | 1.58832i | −0.113097 | + | 0.993584i | \(0.536077\pi\) |
−0.803920 | + | 0.594737i | \(0.797256\pi\) | |||||||
\(524\) | −1.39952 | + | 2.42405i | −0.0611385 | + | 0.105895i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.9980 | + | 31.1734i | 0.784749 | + | 1.35922i | ||||
\(527\) | −5.95991 | −0.259618 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 31.1812 | 1.35570 | ||||||||
\(530\) | 1.85641 | − | 3.21539i | 0.0806372 | − | 0.139668i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.23082 | + | 8.93637i | 0.0967183 | + | 0.387441i | ||||
\(533\) | −23.3535 | + | 40.4494i | −1.01155 | + | 1.75206i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.85702 | − | 6.68056i | 0.166754 | − | 0.288826i | ||||
\(536\) | 3.89258 | − | 6.74214i | 0.168134 | − | 0.291216i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.5157 | + | 25.1419i | −0.625816 | + | 1.08395i | ||||
\(539\) | −8.98500 | − | 5.60726i | −0.387011 | − | 0.241522i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.44272 | + | 2.49886i | −0.0620273 | + | 0.107434i | −0.895371 | − | 0.445320i | \(-0.853090\pi\) |
0.833344 | + | 0.552754i | \(0.186423\pi\) | |||||||
\(542\) | −27.2460 | −1.17032 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.3472 | −0.443631 | ||||||||
\(545\) | 5.50059 | + | 9.52731i | 0.235620 | + | 0.408105i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.38738 | − | 2.40301i | 0.0593201 | − | 0.102745i | −0.834840 | − | 0.550492i | \(-0.814440\pi\) |
0.894160 | + | 0.447747i | \(0.147773\pi\) | |||||||
\(548\) | 1.54128 | − | 2.66957i | 0.0658401 | − | 0.114038i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.48300 | − | 7.76478i | −0.191156 | − | 0.331091i | ||||
\(551\) | 0.0775590 | + | 0.134336i | 0.00330413 | + | 0.00572291i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.79316 | − | 15.1949i | −0.161302 | − | 0.646154i | ||||
\(554\) | 6.85975 | + | 11.8814i | 0.291443 | + | 0.504794i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.05005 | −0.0445319 | ||||||||
\(557\) | −15.5344 | − | 26.9064i | −0.658214 | − | 1.14006i | −0.981078 | − | 0.193614i | \(-0.937979\pi\) |
0.322864 | − | 0.946445i | \(-0.395354\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −52.7939 | −2.23294 | ||||||||
\(560\) | 4.14637 | + | 16.6098i | 0.175216 | + | 0.701893i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −47.8495 | −2.01841 | ||||||||
\(563\) | 0.144020 | − | 0.249451i | 0.00606973 | − | 0.0105131i | −0.862975 | − | 0.505247i | \(-0.831401\pi\) |
0.869044 | + | 0.494734i | \(0.164735\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.67836 | + | 16.7634i | 0.407172 | + | 0.705242i | ||||
\(566\) | 34.5331 | 1.45154 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.8451 | −0.580929 | ||||||||
\(569\) | −8.04004 | − | 13.9258i | −0.337056 | − | 0.583798i | 0.646821 | − | 0.762641i | \(-0.276098\pi\) |
−0.983878 | + | 0.178843i | \(0.942765\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.64289 | − | 13.2379i | 0.319845 | − | 0.553988i | −0.660610 | − | 0.750729i | \(-0.729702\pi\) |
0.980456 | + | 0.196741i | \(0.0630358\pi\) | |||||||
\(572\) | −10.8869 | −0.455204 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 31.6126 | − | 30.5456i | 1.31949 | − | 1.27495i | ||||
\(575\) | −23.6902 | −0.987950 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.0812 | + | 20.9253i | 0.502949 | + | 0.871133i | 0.999994 | + | 0.00340833i | \(0.00108491\pi\) |
−0.497045 | + | 0.867725i | \(0.665582\pi\) | |||||||
\(578\) | −26.8836 | −1.11821 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0574683 | − | 0.0995380i | −0.00238624 | − | 0.00413309i | ||||
\(581\) | 10.6592 | − | 10.2994i | 0.442216 | − | 0.427289i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.14289 | + | 1.97955i | 0.0473338 | + | 0.0819845i | ||||
\(584\) | 1.54881 | + | 2.68262i | 0.0640902 | + | 0.111007i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.26636 | − | 3.92546i | 0.0936226 | − | 0.162159i | ||||
\(587\) | −18.0145 | + | 31.2020i | −0.743537 | + | 1.28784i | 0.207339 | + | 0.978269i | \(0.433520\pi\) |
−0.950875 | + | 0.309574i | \(0.899814\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.81783 | + | 8.34472i | 0.198515 | + | 0.343838i | ||||
\(590\) | −20.7503 | −0.854276 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.73034 | −0.112216 | ||||||||
\(593\) | −12.4668 | + | 21.5932i | −0.511951 | + | 0.886726i | 0.487953 | + | 0.872870i | \(0.337744\pi\) |
−0.999904 | + | 0.0138558i | \(0.995589\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.32482 | − | 5.30706i | −0.0543124 | − | 0.217568i | ||||
\(596\) | 4.57712 | − | 7.92780i | 0.187486 | − | 0.324735i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −35.0751 | + | 60.7518i | −1.43433 | + | 2.48433i | ||||
\(599\) | 19.7642 | − | 34.2325i | 0.807542 | − | 1.39870i | −0.107019 | − | 0.994257i | \(-0.534131\pi\) |
0.914561 | − | 0.404447i | \(-0.132536\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.86447 | − | 3.22936i | 0.0760534 | − | 0.131728i | −0.825490 | − | 0.564416i | \(-0.809101\pi\) |
0.901544 | + | 0.432688i | \(0.142435\pi\) | |||||||
\(602\) | 47.7669 | + | 13.6821i | 1.94683 | + | 0.557639i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.80470 | + | 15.2502i | −0.358258 | + | 0.620521i | ||||
\(605\) | 11.6267 | 0.472694 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.6528 | 0.960036 | 0.480018 | − | 0.877259i | \(-0.340630\pi\) | ||||
0.480018 | + | 0.877259i | \(0.340630\pi\) | |||||||
\(608\) | 8.36436 | + | 14.4875i | 0.339219 | + | 0.587545i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.98029 | − | 6.89407i | 0.161157 | − | 0.279133i | ||||
\(611\) | −24.6339 | + | 42.6671i | −0.996580 | + | 1.72613i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.89952 | + | 3.29006i | 0.0767208 | + | 0.132884i | 0.901833 | − | 0.432084i | \(-0.142222\pi\) |
−0.825113 | + | 0.564968i | \(0.808888\pi\) | |||||||
\(614\) | 4.29264 | + | 7.43507i | 0.173237 | + | 0.300055i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.32107 | − | 1.23770i | −0.174101 | − | 0.0498684i | ||||
\(617\) | 17.5615 | + | 30.4174i | 0.706999 | + | 1.22456i | 0.965965 | + | 0.258672i | \(0.0832849\pi\) |
−0.258966 | + | 0.965886i | \(0.583382\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.1632 | −0.850622 | −0.425311 | − | 0.905047i | \(-0.639835\pi\) | ||||
−0.425311 | + | 0.905047i | \(0.639835\pi\) | |||||||
\(620\) | −3.56983 | − | 6.18312i | −0.143368 | − | 0.248320i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −50.6011 | −2.02892 | ||||||||
\(623\) | 2.67624 | − | 2.58590i | 0.107221 | − | 0.103602i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.45048 | 0.0580192 | ||||||||
\(626\) | −5.05726 | + | 8.75943i | −0.202129 | + | 0.350097i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.0301 | + | 20.8368i | 0.480054 | + | 0.831477i | ||||
\(629\) | 0.872381 | 0.0347841 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.74845 | 0.189033 | 0.0945164 | − | 0.995523i | \(-0.469870\pi\) | ||||
0.0945164 | + | 0.995523i | \(0.469870\pi\) | |||||||
\(632\) | −3.32329 | − | 5.75610i | −0.132193 | − | 0.228965i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.09350 | − | 15.7504i | 0.361149 | − | 0.625529i | ||||
\(635\) | −11.3455 | −0.450231 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.24363 | − | 36.2106i | 0.0492745 | − | 1.43472i | ||||
\(638\) | 0.172562 | 0.00683178 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.71622 | + | 9.90078i | 0.225953 | + | 0.391363i | ||||
\(641\) | 9.87469 | 0.390027 | 0.195013 | − | 0.980801i | \(-0.437525\pi\) | ||||
0.195013 | + | 0.980801i | \(0.437525\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.9748 | + | 38.0615i | 0.866602 | + | 1.50100i | 0.865448 | + | 0.501000i | \(0.167034\pi\) |
0.00115462 | + | 0.999999i | \(0.499632\pi\) | |||||||
\(644\) | 19.4694 | − | 18.8123i | 0.767204 | − | 0.741307i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.57095 | − | 6.18507i | −0.140497 | − | 0.243348i | ||||
\(647\) | −22.1936 | − | 38.4404i | −0.872521 | − | 1.51125i | −0.859381 | − | 0.511336i | \(-0.829151\pi\) |
−0.0131398 | − | 0.999914i | \(-0.504183\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.38743 | − | 11.0634i | 0.250729 | − | 0.434275i | ||||
\(650\) | 15.3362 | − | 26.5631i | 0.601537 | − | 1.04189i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.49341 | + | 14.7110i | 0.332628 | + | 0.576128i | ||||
\(653\) | −41.9912 | −1.64324 | −0.821622 | − | 0.570033i | \(-0.806930\pi\) | ||||
−0.821622 | + | 0.570033i | \(0.806930\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.68748 | −0.105008 | ||||||||
\(656\) | 21.8726 | − | 37.8844i | 0.853980 | − | 1.47914i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 33.3459 | − | 32.2203i | 1.29996 | − | 1.25608i | ||||
\(659\) | 19.6365 | − | 34.0114i | 0.764928 | − | 1.32489i | −0.175356 | − | 0.984505i | \(-0.556108\pi\) |
0.940284 | − | 0.340390i | \(-0.110559\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.0933694 | − | 0.161721i | 0.00363165 | − | 0.00629020i | −0.864204 | − | 0.503142i | \(-0.832177\pi\) |
0.867836 | + | 0.496852i | \(0.165511\pi\) | |||||||
\(662\) | 19.0515 | − | 32.9982i | 0.740459 | − | 1.28251i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.14522 | − | 5.44769i | 0.122058 | − | 0.211411i | ||||
\(665\) | −6.35969 | + | 6.14502i | −0.246618 | + | 0.238293i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.227973 | − | 0.394862i | 0.00882717 | − | 0.0152891i | ||||
\(668\) | 4.90028 | 0.189597 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.0395 | −0.658294 | ||||||||
\(671\) | 2.45046 | + | 4.24432i | 0.0945989 | + | 0.163850i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.43382 | + | 9.41166i | −0.209458 | + | 0.362793i | −0.951544 | − | 0.307512i | \(-0.900503\pi\) |
0.742086 | + | 0.670305i | \(0.233837\pi\) | |||||||
\(674\) | 1.37862 | − | 2.38785i | 0.0531026 | − | 0.0919764i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.58584 | − | 16.6032i | −0.368686 | − | 0.638583i | ||||
\(677\) | 14.1950 | + | 24.5865i | 0.545560 | + | 0.944937i | 0.998571 | + | 0.0534326i | \(0.0170162\pi\) |
−0.453012 | + | 0.891505i | \(0.649650\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.2016 | − | 22.4184i | 0.890396 | − | 0.860341i | ||||
\(680\) | −1.16071 | − | 2.01041i | −0.0445111 | − | 0.0770956i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 10.7192 | 0.410460 | ||||||||
\(683\) | −5.92034 | − | 10.2543i | −0.226536 | − | 0.392371i | 0.730243 | − | 0.683187i | \(-0.239407\pi\) |
−0.956779 | + | 0.290816i | \(0.906073\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.95968 | 0.113083 | ||||||||
\(686\) | −10.5095 | + | 32.4404i | −0.401256 | + | 1.23858i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 49.4461 | 1.88511 | ||||||||
\(689\) | −3.90981 | + | 6.77199i | −0.148952 | + | 0.257992i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.95416 | − | 10.3129i | −0.226507 | − | 0.392321i | 0.730264 | − | 0.683165i | \(-0.239397\pi\) |
−0.956770 | + | 0.290844i | \(0.906064\pi\) | |||||||
\(692\) | −14.0976 | −0.535909 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 54.3880 | 2.06454 | ||||||||
\(695\) | −0.504096 | − | 0.873119i | −0.0191214 | − | 0.0331193i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.98857 | + | 12.1046i | −0.264711 | + | 0.458493i | ||||
\(698\) | −66.2870 | −2.50900 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.51283 | + | 8.22548i | −0.321755 | + | 0.310894i | ||||
\(701\) | 31.3902 | 1.18559 | 0.592795 | − | 0.805353i | \(-0.298024\pi\) | ||||
0.592795 | + | 0.805353i | \(0.298024\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.705208 | − | 1.22146i | −0.0265974 | − | 0.0460681i | ||||
\(704\) | 3.94041 | 0.148510 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.1518 | − | 47.0284i | −1.02187 | − | 1.76994i | ||||
\(707\) | 2.84531 | + | 0.814992i | 0.107009 | + | 0.0306509i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.312609 | − | 0.541455i | −0.0117403 | − | 0.0203348i | 0.860096 | − | 0.510133i | \(-0.170404\pi\) |
−0.871836 | + | 0.489798i | \(0.837070\pi\) | |||||||
\(710\) | 15.1516 | + | 26.2433i | 0.568628 | + | 0.984893i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.789685 | − | 1.36777i | 0.0295947 | − | 0.0512595i | ||||
\(713\) | 14.1613 | − | 24.5281i | 0.530345 | − | 0.918584i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.22647 | − | 9.05251i | −0.195459 | − | 0.338545i | ||||
\(716\) | 2.36489 | 0.0883802 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.96239 | 0.371793 | ||||||||
\(719\) | −12.1969 | + | 21.1257i | −0.454869 | + | 0.787857i | −0.998681 | − | 0.0513506i | \(-0.983647\pi\) |
0.543811 | + | 0.839208i | \(0.316981\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.91003 | − | 1.40640i | −0.182859 | − | 0.0523771i | ||||
\(722\) | 11.7185 | − | 20.2970i | 0.436116 | − | 0.755376i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.8123 | − | 20.4595i | 0.439002 | − | 0.760373i | ||||
\(725\) | −0.0996792 | + | 0.172649i | −0.00370199 | + | 0.00641204i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.9253 | + | 32.7796i | −0.701900 | + | 1.21573i | 0.265899 | + | 0.964001i | \(0.414331\pi\) |
−0.967799 | + | 0.251726i | \(0.919002\pi\) | |||||||
\(728\) | −3.72426 | − | 14.9189i | −0.138030 | − | 0.552932i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.38991 | − | 5.87150i | 0.125466 | − | 0.217314i | ||||
\(731\) | −15.7987 | −0.584335 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.40155 | 0.0887033 | 0.0443516 | − | 0.999016i | \(-0.485878\pi\) | ||||
0.0443516 | + | 0.999016i | \(0.485878\pi\) | |||||||
\(734\) | 21.2519 | + | 36.8093i | 0.784421 | + | 1.35866i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 24.5858 | − | 42.5839i | 0.906245 | − | 1.56966i | ||||
\(737\) | 5.24517 | − | 9.08490i | 0.193208 | − | 0.334646i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1940 | − | 26.3167i | −0.558920 | − | 0.968077i | −0.997587 | − | 0.0694277i | \(-0.977883\pi\) |
0.438667 | − | 0.898650i | \(-0.355451\pi\) | |||||||
\(740\) | 0.522533 | + | 0.905053i | 0.0192087 | + | 0.0332704i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.29255 | − | 5.11390i | 0.194296 | − | 0.187737i | ||||
\(743\) | 2.54785 | + | 4.41300i | 0.0934715 | + | 0.161897i | 0.908970 | − | 0.416862i | \(-0.136870\pi\) |
−0.815498 | + | 0.578760i | \(0.803537\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.78934 | 0.322016 | ||||||||
\(746\) | −19.7961 | − | 34.2879i | −0.724787 | − | 1.25537i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.25793 | −0.119122 | ||||||||
\(749\) | 10.9962 | − | 10.6251i | 0.401793 | − | 0.388231i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.975011 | −0.0355787 | −0.0177893 | − | 0.999842i | \(-0.505663\pi\) | ||||
−0.0177893 | + | 0.999842i | \(0.505663\pi\) | |||||||
\(752\) | 23.0718 | − | 39.9615i | 0.841341 | − | 1.45724i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.295165 | + | 0.511240i | 0.0107493 | + | 0.0186183i | ||||
\(755\) | −16.9075 | −0.615326 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.6346 | 0.422865 | 0.211433 | − | 0.977393i | \(-0.432187\pi\) | ||||
0.211433 | + | 0.977393i | \(0.432187\pi\) | |||||||
\(758\) | −5.26750 | − | 9.12357i | −0.191324 | − | 0.331383i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.87657 | + | 3.25031i | −0.0680703 | + | 0.117901i | ||||
\(761\) | 54.1749 | 1.96384 | 0.981920 | − | 0.189298i | \(-0.0606213\pi\) | ||||
0.981920 | + | 0.189298i | \(0.0606213\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.28158 | + | 21.1573i | 0.191206 | + | 0.765946i | ||||
\(764\) | −31.5484 | −1.14138 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −32.1489 | − | 55.6835i | −1.16159 | − | 2.01193i | ||||
\(767\) | 43.7025 | 1.57801 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.4326 | − | 18.0698i | −0.376208 | − | 0.651612i | 0.614299 | − | 0.789074i | \(-0.289439\pi\) |
−0.990507 | + | 0.137462i | \(0.956106\pi\) | |||||||
\(770\) | 2.38276 | + | 9.54503i | 0.0858687 | + | 0.343979i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.30047 | − | 7.44863i | −0.154777 | − | 0.268082i | ||||
\(773\) | 27.4972 | + | 47.6266i | 0.989007 | + | 1.71301i | 0.622561 | + | 0.782572i | \(0.286092\pi\) |
0.366447 | + | 0.930439i | \(0.380574\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.19189 | + | 10.7247i | −0.222419 | + | 0.385242i | ||||
\(776\) | 6.84616 | − | 11.8579i | 0.245763 | − | 0.425674i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26.5895 | − | 46.0544i | −0.953281 | − | 1.65113i | ||||
\(779\) | 22.5975 | 0.809639 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.6560 | −0.667566 | ||||||||
\(782\) | −10.4963 | + | 18.1801i | −0.375346 | + | 0.650119i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.16477 | + | 33.9144i | −0.0415989 | + | 1.21123i | ||||
\(785\) | −11.5506 | + | 20.0062i | −0.412258 | + | 0.714051i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.59475 | + | 7.95833i | −0.163785 | + | 0.283684i | −0.936223 | − | 0.351406i | \(-0.885704\pi\) |
0.772438 | + | 0.635090i | \(0.219037\pi\) | |||||||
\(788\) | 6.79103 | − | 11.7624i | 0.241921 | − | 0.419019i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.27374 | + | 12.5985i | −0.258788 | + | 0.448234i | ||||
\(791\) | 9.29301 | + | 37.2266i | 0.330421 | + | 1.32362i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.38296 | + | 14.5197i | −0.297688 | + | 0.515610i | ||||
\(794\) | −20.5934 | −0.730832 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.0659 | 0.427665 | ||||||||
\(797\) | −3.53774 | − | 6.12754i | −0.125313 | − | 0.217049i | 0.796542 | − | 0.604583i | \(-0.206660\pi\) |
−0.921855 | + | 0.387534i | \(0.873327\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.37174 | + | 12.7682i | −0.260793 | + | 0.451707i | ||||
\(800\) | −10.7499 | + | 18.6194i | −0.380067 | + | 0.658295i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.996224 | − | 1.72551i | −0.0351779 | − | 0.0609299i | ||||
\(803\) | 2.08699 | + | 3.61477i | 0.0736483 | + | 0.127563i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 24.9892 | + | 7.15774i | 0.880752 | + | 0.252277i | ||||
\(806\) | 18.3351 | + | 31.7573i | 0.645827 | + | 1.11860i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.25610 | 0.0441894 | ||||||||
\(809\) | 2.97060 | + | 5.14522i | 0.104441 | + | 0.180896i | 0.913510 | − | 0.406817i | \(-0.133361\pi\) |
−0.809069 | + | 0.587714i | \(0.800028\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.4139 | 1.55958 | 0.779791 | − | 0.626039i | \(-0.215325\pi\) | ||||
0.779791 | + | 0.626039i | \(0.215325\pi\) | |||||||
\(812\) | −0.0551801 | − | 0.221044i | −0.00193644 | − | 0.00775713i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.56902 | −0.0549942 | ||||||||
\(815\) | −8.15485 | + | 14.1246i | −0.285652 | + | 0.494764i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.7712 | + | 22.1204i | 0.446808 | + | 0.773894i | ||||
\(818\) | −40.0191 | −1.39924 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.7439 | −0.584721 | ||||||||
\(821\) | 3.17761 | + | 5.50378i | 0.110899 | + | 0.192083i | 0.916133 | − | 0.400874i | \(-0.131294\pi\) |
−0.805234 | + | 0.592958i | \(0.797960\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.73216 | − | 8.19635i | 0.164953 | − | 0.285707i | −0.771686 | − | 0.636004i | \(-0.780586\pi\) |
0.936639 | + | 0.350297i | \(0.113919\pi\) | |||||||
\(824\) | −2.16760 | −0.0755120 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −39.5412 | − | 11.3259i | −1.37581 | − | 0.394080i | ||||
\(827\) | 4.86261 | 0.169090 | 0.0845448 | − | 0.996420i | \(-0.473056\pi\) | ||||
0.0845448 | + | 0.996420i | \(0.473056\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.3926 | + | 35.3211i | 0.708266 | + | 1.22675i | 0.965500 | + | 0.260403i | \(0.0838555\pi\) |
−0.257234 | + | 0.966349i | \(0.582811\pi\) | |||||||
\(830\) | −13.7680 | −0.477896 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.74003 | + | 11.6741i | 0.233668 | + | 0.404725i | ||||
\(833\) | 0.372159 | − | 10.8361i | 0.0128946 | − | 0.375449i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.35247 | + | 4.07460i | 0.0814107 | + | 0.141007i | ||||
\(836\) | 2.63362 | + | 4.56156i | 0.0910856 | + | 0.157765i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −23.1823 | + | 40.1529i | −0.800818 | + | 1.38706i | ||||
\(839\) | −9.60171 | + | 16.6307i | −0.331488 | + | 0.574154i | −0.982804 | − | 0.184653i | \(-0.940884\pi\) |
0.651316 | + | 0.758807i | \(0.274217\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4981 | + | 25.1114i | 0.499934 | + | 0.865911i | ||||
\(842\) | 54.6126 | 1.88207 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 7.90225 | 0.272007 | ||||||||
\(845\) | 9.20374 | − | 15.9413i | 0.316618 | − | 0.548399i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.1556 | + | 6.34612i | 0.761276 | + | 0.218055i | ||||
\(848\) | 3.66188 | − | 6.34256i | 0.125749 | − | 0.217804i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.58940 | − | 7.94907i | 0.157415 | − | 0.272651i | ||||
\(851\) | −2.07286 | + | 3.59029i | −0.0710566 | + | 0.123074i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.95055 | + | 12.0387i | −0.237982 | + | 0.412198i | −0.960135 | − | 0.279536i | \(-0.909819\pi\) |
0.722153 | + | 0.691734i | \(0.243153\pi\) | |||||||
\(854\) | 11.3477 | − | 10.9646i | 0.388309 | − | 0.375202i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.24469 | − | 5.61996i | 0.110901 | − | 0.192086i | ||||
\(857\) | −56.9838 | −1.94653 | −0.973265 | − | 0.229686i | \(-0.926230\pi\) | ||||
−0.973265 | + | 0.229686i | \(0.926230\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.1002 | −0.685810 | −0.342905 | − | 0.939370i | \(-0.611411\pi\) | ||||
−0.342905 | + | 0.939370i | \(0.611411\pi\) | |||||||
\(860\) | −9.46298 | − | 16.3904i | −0.322685 | − | 0.558907i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.50214 | + | 7.79794i | −0.153344 | + | 0.265599i | ||||
\(863\) | 3.08893 | − | 5.35018i | 0.105148 | − | 0.182122i | −0.808650 | − | 0.588289i | \(-0.799802\pi\) |
0.913799 | + | 0.406167i | \(0.133135\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.76781 | − | 11.7222i | −0.230112 | − | 0.398566i | ||||
\(866\) | −8.94318 | − | 15.4900i | −0.303902 | − | 0.526373i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.42769 | − | 13.7309i | −0.116343 | − | 0.466056i | ||||
\(869\) | −4.47806 | − | 7.75623i | −0.151908 | − | 0.263112i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 35.8872 | 1.21599 | ||||||||
\(872\) | 4.62732 | + | 8.01476i | 0.156701 | + | 0.271414i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 33.9396 | 1.14802 | ||||||||
\(875\) | −27.9008 | − | 7.99173i | −0.943219 | − | 0.270170i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −37.2574 | −1.25809 | −0.629046 | − | 0.777368i | \(-0.716554\pi\) | ||||
−0.629046 | + | 0.777368i | \(0.716554\pi\) | |||||||
\(878\) | 13.6468 | − | 23.6370i | 0.460558 | − | 0.797710i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.89504 | + | 8.47846i | 0.165012 | + | 0.285809i | ||||
\(881\) | 11.7848 | 0.397041 | 0.198520 | − | 0.980097i | \(-0.436386\pi\) | ||||
0.198520 | + | 0.980097i | \(0.436386\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.2308 | −0.983693 | −0.491847 | − | 0.870682i | \(-0.663678\pi\) | ||||
−0.491847 | + | 0.870682i | \(0.663678\pi\) | |||||||
\(884\) | −5.57265 | − | 9.65211i | −0.187428 | − | 0.324636i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −20.1634 | + | 34.9240i | −0.677402 | + | 1.17329i | ||||
\(887\) | −28.5161 | −0.957479 | −0.478739 | − | 0.877957i | \(-0.658906\pi\) | ||||
−0.478739 | + | 0.877957i | \(0.658906\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.6196 | − | 6.19258i | −0.725098 | − | 0.207693i | ||||
\(890\) | −3.45680 | −0.115872 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.14822 | + | 14.1131i | 0.272823 | + | 0.472543i | ||||
\(893\) | 23.8364 | 0.797656 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.13531 | + | 1.96642i | 0.0379493 | + | 0.0657301i | ||||
\(896\) | 5.48862 | + | 21.9867i | 0.183362 | + | 0.734524i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 19.7890 | + | 34.2755i | 0.660366 | + | 1.14379i | ||||
\(899\) | −0.119171 | − | 0.206410i | −0.00397456 | − | 0.00688414i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.17002 | + | 2.02653i | −0.0389790 | + | 0.0675135i | ||||
\(902\) | 12.5693 | − | 21.7707i | 0.418513 | − | 0.724885i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.14183 | + | 14.1021i | 0.270793 | + | 0.469028i | ||||
\(905\) | 22.6829 | 0.754006 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.89155 | −0.262035 | −0.131017 | − | 0.991380i | \(-0.541824\pi\) | ||||
−0.131017 | + | 0.991380i | \(0.541824\pi\) | |||||||
\(908\) | 7.77317 | − | 13.4635i | 0.257962 | − | 0.446803i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24.2029 | + | 23.3860i | −0.802319 | + | 0.775237i | ||||
\(911\) | 14.2206 | − | 24.6308i | 0.471150 | − | 0.816055i | −0.528306 | − | 0.849054i | \(-0.677173\pi\) |
0.999455 | + | 0.0329991i | \(0.0105058\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.23813 | − | 7.34065i | 0.140262 | − | 0.242940i | ||||
\(914\) | −37.4007 | + | 64.7798i | −1.23710 | + | 2.14273i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.71206 | − | 11.6256i | 0.221773 | − | 0.384121i | ||||
\(917\) | −5.12118 | − | 1.46688i | −0.169116 | − | 0.0484406i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.99271 | − | 6.91558i | 0.131707 | − | 0.228124i | −0.792627 | − | 0.609706i | \(-0.791287\pi\) |
0.924335 | + | 0.381582i | \(0.124621\pi\) | |||||||
\(920\) | 11.0318 | 0.363708 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.21221 | 0.171655 | ||||||||
\(923\) | −31.9110 | − | 55.2714i | −1.05036 | − | 1.81928i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.906337 | − | 1.56982i | 0.0298002 | − | 0.0516154i | ||||
\(926\) | −25.6529 | + | 44.4322i | −0.843008 | + | 1.46013i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.206895 | − | 0.358353i | −0.00679167 | − | 0.0117635i | ||||
\(929\) | 9.40031 | + | 16.2818i | 0.308414 | + | 0.534189i | 0.978016 | − | 0.208531i | \(-0.0668684\pi\) |
−0.669601 | + | 0.742721i | \(0.733535\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.4729 | + | 8.23853i | −0.507104 | + | 0.270007i | ||||
\(932\) | 13.4081 | + | 23.2234i | 0.439196 | + | 0.760709i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −49.0577 | −1.60522 | ||||||||
\(935\) | −1.56403 | − | 2.70898i | −0.0511493 | − | 0.0885932i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 48.5788 | 1.58700 | 0.793500 | − | 0.608570i | \(-0.208256\pi\) | ||||
0.793500 | + | 0.608570i | \(0.208256\pi\) | |||||||
\(938\) | −32.4700 | − | 9.30052i | −1.06018 | − | 0.303673i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.6619 | −0.576067 | ||||||||
\(941\) | 10.2425 | − | 17.7406i | 0.333898 | − | 0.578328i | −0.649375 | − | 0.760468i | \(-0.724969\pi\) |
0.983272 | + | 0.182141i | \(0.0583027\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.2110 | − | 57.5231i | −1.08150 | − | 1.87321i | ||||
\(944\) | −40.9312 | −1.33220 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.4148 | 0.923843 | ||||||||
\(947\) | −7.42524 | − | 12.8609i | −0.241288 | − | 0.417923i | 0.719793 | − | 0.694188i | \(-0.244236\pi\) |
−0.961081 | + | 0.276265i | \(0.910903\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.13954 | + | 12.3661i | −0.231759 | + | 0.401419i | ||||
\(950\) | −14.8398 | −0.481466 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.11449 | − | 4.46451i | −0.0361209 | − | 0.144696i | ||||
\(953\) | −46.4678 | −1.50524 | −0.752620 | − | 0.658456i | \(-0.771210\pi\) | ||||
−0.752620 | + | 0.658456i | \(0.771210\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.1454 | − | 26.2326i | −0.490094 | − | 0.848868i | ||||
\(956\) | −0.541167 | −0.0175026 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −29.0724 | − | 50.3548i | −0.939285 | − | 1.62689i | ||||
\(959\) | 5.63988 | + | 1.61545i | 0.182121 | + | 0.0521657i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.09733 | + | 14.0250i | 0.261204 | + | 0.452419i | ||||
\(962\) | −2.68380 | − | 4.64847i | −0.0865291 | − | 0.149873i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.39301 | + | 12.8051i | −0.238113 | + | 0.412423i | ||||
\(965\) | 4.12905 | − | 7.15172i | 0.132919 | − | 0.230222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.863670 | + | 1.49592i | 0.0277738 | + | 0.0481056i | 0.879578 | − | 0.475754i | \(-0.157825\pi\) |
−0.851804 | + | 0.523860i | \(0.824492\pi\) | |||||||
\(968\) | 9.78089 | 0.314370 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −29.9687 | −0.962235 | ||||||||
\(971\) | 3.78085 | − | 6.54863i | 0.121333 | − | 0.210156i | −0.798960 | − | 0.601384i | \(-0.794616\pi\) |
0.920294 | + | 0.391228i | \(0.127950\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.484024 | − | 1.93894i | −0.0155171 | − | 0.0621595i | ||||
\(974\) | −0.281870 | + | 0.488213i | −0.00903169 | + | 0.0156434i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.85137 | − | 13.5990i | 0.251316 | − | 0.435293i | ||||
\(977\) | −28.3101 | + | 49.0345i | −0.905721 | + | 1.56875i | −0.0857737 | + | 0.996315i | \(0.527336\pi\) |
−0.819947 | + | 0.572440i | \(0.805997\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.06408 | − | 1.84305i | 0.0340083 | − | 0.0589041i | ||||
\(980\) | 11.4648 | − | 6.10443i | 0.366231 | − | 0.194999i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 16.6997 | − | 28.9247i | 0.532909 | − | 0.923025i | ||||
\(983\) | −32.2972 | −1.03012 | −0.515061 | − | 0.857154i | \(-0.672231\pi\) | ||||
−0.515061 | + | 0.857154i | \(0.672231\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.0407 | 0.415510 | ||||||||
\(986\) | 0.0883286 | + | 0.152990i | 0.00281296 | + | 0.00487218i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.00955 | + | 15.6050i | −0.286632 | + | 0.496461i | ||||
\(989\) | 37.5391 | − | 65.0197i | 1.19367 | − | 2.06750i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.15502 | − | 12.3929i | −0.227287 | − | 0.393672i | 0.729716 | − | 0.683750i | \(-0.239652\pi\) |
−0.957003 | + | 0.290078i | \(0.906319\pi\) | |||||||
\(992\) | −12.8520 | − | 22.2602i | −0.408050 | − | 0.706764i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 14.5483 | + | 58.2785i | 0.461444 | + | 1.84848i | ||||
\(995\) | 5.79247 | + | 10.0329i | 0.183634 | + | 0.318063i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 56.2524 | 1.78153 | 0.890765 | − | 0.454463i | \(-0.150169\pi\) | ||||
0.890765 | + | 0.454463i | \(0.150169\pi\) | |||||||
\(998\) | 19.6176 | + | 33.9787i | 0.620985 | + | 1.07558i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))