Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(163,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.e (of order \(3\), degree \(2\), 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: | \(4.52751779461\) |
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 | 487.2 | ||
Root | \(0.920620 + 1.59456i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.487 |
Dual form | 567.2.e.e.163.2 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.920620 | − | 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 | ||||
\(5\) | 0.667377 | + | 1.15593i | 0.298460 | + | 0.516948i | 0.975784 | − | 0.218737i | \(-0.0701937\pi\) |
−0.677324 | + | 0.735685i | \(0.736860\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.640804 | − | 2.56698i | 0.242201 | − | 0.970226i | ||||
\(8\) | −1.12285 | −0.396987 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.22880 | − | 2.12835i | 0.388581 | − | 0.673042i | ||||
\(11\) | 0.756508 | − | 1.31031i | 0.228096 | − | 0.395073i | −0.729148 | − | 0.684356i | \(-0.760083\pi\) |
0.957244 | + | 0.289283i | \(0.0934167\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.17599 | 1.43556 | 0.717781 | − | 0.696269i | \(-0.245158\pi\) | ||||
0.717781 | + | 0.696269i | \(0.245158\pi\) | |||||||
\(14\) | −4.68314 | + | 1.34141i | −1.25162 | + | 0.358507i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.42388 | + | 4.19829i | 0.605971 | + | 1.04957i | ||||
\(17\) | −0.774463 | + | 1.34141i | −0.187835 | + | 0.325340i | −0.944528 | − | 0.328430i | \(-0.893480\pi\) |
0.756693 | + | 0.653770i | \(0.226814\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.25211 | − | 2.16872i | −0.287254 | − | 0.497538i | 0.685900 | − | 0.727696i | \(-0.259409\pi\) |
−0.973153 | + | 0.230158i | \(0.926076\pi\) | |||||||
\(20\) | −1.85553 | −0.414909 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.78583 | −0.593940 | ||||||||
\(23\) | −3.68039 | − | 6.37463i | −0.767415 | − | 1.32920i | −0.938960 | − | 0.344025i | \(-0.888209\pi\) |
0.171545 | − | 0.985176i | \(-0.445124\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.60922 | − | 2.78725i | 0.321843 | − | 0.557449i | ||||
\(26\) | −4.76513 | − | 8.25344i | −0.934518 | − | 1.61863i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.64502 | + | 2.55574i | 0.499862 | + | 0.482990i | ||||
\(29\) | −0.0619427 | −0.0115025 | −0.00575123 | − | 0.999983i | \(-0.501831\pi\) | ||||
−0.00575123 | + | 0.999983i | \(0.501831\pi\) | |||||||
\(30\) | 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 | ||||||||
\(34\) | 2.85195 | 0.489105 | ||||||||
\(35\) | 3.39490 | − | 0.972416i | 0.573844 | − | 0.164368i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.281608 | − | 0.487760i | −0.0462961 | − | 0.0801872i | 0.841949 | − | 0.539557i | \(-0.181408\pi\) |
−0.888245 | + | 0.459370i | \(0.848075\pi\) | |||||||
\(38\) | −2.30543 | + | 3.99313i | −0.373991 | + | 0.647771i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.749363 | − | 1.29794i | −0.118485 | − | 0.205222i | ||||
\(41\) | 9.02376 | 1.40928 | 0.704638 | − | 0.709567i | \(-0.251110\pi\) | ||||
0.704638 | + | 0.709567i | \(0.251110\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.1998 | −1.55545 | −0.777724 | − | 0.628606i | \(-0.783626\pi\) | ||||
−0.777724 | + | 0.628606i | \(0.783626\pi\) | |||||||
\(44\) | 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 | ||||||||
\(49\) | −6.17874 | − | 3.28986i | −0.882677 | − | 0.469980i | ||||
\(50\) | −5.92591 | −0.838050 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.59775 | + | 6.23148i | −0.498918 | + | 0.864151i | ||||
\(53\) | −0.755374 | + | 1.30835i | −0.103759 | + | 0.179715i | −0.913230 | − | 0.407444i | \(-0.866420\pi\) |
0.809472 | + | 0.587159i | \(0.199754\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.01950 | 0.272310 | ||||||||
\(56\) | −0.719526 | + | 2.88233i | −0.0961507 | + | 0.385167i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0570257 | + | 0.0987714i | 0.00748784 | + | 0.0129693i | ||||
\(59\) | −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 | \(0.305874\pi\) | |||||||
\(68\) | −1.07663 | − | 1.86478i | −0.130561 | − | 0.226138i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.67599 | − | 4.51816i | −0.558888 | − | 0.540023i | ||||
\(71\) | 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 | −0.935386 | − | 0.353629i | \(-0.884948\pi\) |
0.773944 | + | 0.633254i | \(0.218281\pi\) | |||||||
\(74\) | −0.518508 | + | 0.898083i | −0.0602754 | + | 0.104400i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.48128 | 0.399331 | ||||||||
\(77\) | −2.87876 | − | 2.78159i | −0.328065 | − | 0.316992i | ||||
\(78\) | 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 | ||||
\(83\) | 5.60222 | 0.614924 | 0.307462 | − | 0.951560i | \(-0.400520\pi\) | ||||
0.307462 | + | 0.951560i | \(0.400520\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.06744 | −0.224245 | ||||||||
\(86\) | 9.39010 | + | 16.2641i | 1.01256 | + | 1.75381i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.849444 | + | 1.47128i | −0.0905511 | + | 0.156839i | ||||
\(89\) | −0.703287 | − | 1.21813i | −0.0745483 | − | 0.129121i | 0.826341 | − | 0.563169i | \(-0.190418\pi\) |
−0.900890 | + | 0.434048i | \(0.857085\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.31680 | − | 13.2867i | 0.347695 | − | 1.39282i | ||||
\(92\) | 10.2327 | 1.06684 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.76293 | + | 15.1778i | −0.903827 | + | 1.56548i | ||||
\(95\) | 1.67126 | − | 2.89470i | 0.171467 | − | 0.296990i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.1943 | 1.23814 | 0.619070 | − | 0.785336i | \(-0.287510\pi\) | ||||
0.619070 | + | 0.785336i | \(0.287510\pi\) | |||||||
\(98\) | 0.442393 | + | 12.8811i | 0.0446885 | + | 1.30119i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.23708 | + | 3.87474i | 0.223708 | + | 0.387474i | ||||
\(101\) | 0.559336 | − | 0.968798i | 0.0556560 | − | 0.0963990i | −0.836855 | − | 0.547425i | \(-0.815608\pi\) |
0.892511 | + | 0.451025i | \(0.148942\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.965224 | − | 1.67182i | −0.0951063 | − | 0.164729i | 0.814547 | − | 0.580098i | \(-0.196986\pi\) |
−0.909653 | + | 0.415369i | \(0.863652\pi\) | |||||||
\(104\) | −5.81186 | −0.569900 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.78165 | 0.270178 | ||||||||
\(107\) | −2.88969 | − | 5.00509i | −0.279357 | − | 0.483860i | 0.691868 | − | 0.722024i | \(-0.256788\pi\) |
−0.971225 | + | 0.238163i | \(0.923455\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.12106 | + | 7.13788i | −0.394726 | + | 0.683685i | −0.993066 | − | 0.117557i | \(-0.962494\pi\) |
0.598340 | + | 0.801242i | \(0.295827\pi\) | |||||||
\(110\) | −1.85920 | − | 3.22022i | −0.177267 | − | 0.307036i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.3302 | − | 3.53177i | 1.16509 | − | 0.333721i | ||||
\(113\) | 14.5021 | 1.36424 | 0.682121 | − | 0.731239i | \(-0.261058\pi\) | ||||
0.682121 | + | 0.731239i | \(0.261058\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.91242 | − | 8.50856i | 0.458085 | − | 0.793427i | ||||
\(116\) | 0.0430553 | − | 0.0745740i | 0.00399759 | − | 0.00692403i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 15.5462 | 1.43114 | ||||||||
\(119\) | 2.94709 | + | 2.84761i | 0.270159 | + | 0.261040i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.35539 | + | 7.54376i | 0.395945 | + | 0.685796i | ||||
\(122\) | −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 | ||||
\(131\) | −1.00673 | − | 1.74371i | −0.0879585 | − | 0.152349i | 0.818690 | − | 0.574236i | \(-0.194701\pi\) |
−0.906648 | + | 0.421888i | \(0.861368\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.36940 | + | 1.82441i | −0.552297 | + | 0.158197i | ||||
\(134\) | 12.7660 | 1.10282 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.869605 | − | 1.50620i | 0.0745680 | − | 0.129156i | ||||
\(137\) | 1.10870 | − | 1.92032i | 0.0947225 | − | 0.164064i | −0.814770 | − | 0.579784i | \(-0.803137\pi\) |
0.909493 | + | 0.415720i | \(0.136470\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.755339 | −0.0640670 | −0.0320335 | − | 0.999487i | \(-0.510198\pi\) | ||||
−0.0320335 | + | 0.999487i | \(0.510198\pi\) | |||||||
\(140\) | −1.18903 | + | 4.76310i | −0.100492 | + | 0.402556i | ||||
\(141\) | 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 | ||||
\(146\) | 5.07946 | 0.420379 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.782965 | 0.0643593 | ||||||||
\(149\) | 3.29249 | + | 5.70277i | 0.269732 | + | 0.467189i | 0.968792 | − | 0.247873i | \(-0.0797317\pi\) |
−0.699061 | + | 0.715062i | \(0.746398\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.33356 | + | 10.9700i | −0.515417 | + | 0.892729i | 0.484422 | + | 0.874834i | \(0.339030\pi\) |
−0.999840 | + | 0.0178950i | \(0.994304\pi\) | |||||||
\(152\) | 1.40593 | + | 2.43514i | 0.114036 | + | 0.197516i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.78517 | + | 7.15115i | −0.143853 | + | 0.576256i | ||||
\(155\) | 5.13582 | 0.412519 | ||||||||
\(156\) | 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 | ||||||||
\(160\) | 8.91644 | 0.704906 | ||||||||
\(161\) | −18.7219 | + | 5.36260i | −1.47549 | + | 0.422632i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.10963 | + | 10.5822i | 0.478543 | + | 0.828861i | 0.999697 | − | 0.0246014i | \(-0.00783167\pi\) |
−0.521154 | + | 0.853463i | \(0.674498\pi\) | |||||||
\(164\) | −6.27227 | + | 10.8639i | −0.489782 | + | 0.848327i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.15752 | − | 8.93309i | −0.400301 | − | 0.693342i | ||||
\(167\) | 3.52495 | 0.272769 | 0.136385 | − | 0.990656i | \(-0.456452\pi\) | ||||
0.136385 | + | 0.990656i | \(0.456452\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.7909 | 1.06084 | ||||||||
\(170\) | 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 | ||||||||
\(175\) | −6.12360 | − | 5.91690i | −0.462901 | − | 0.447276i | ||||
\(176\) | 7.33475 | 0.552878 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.29492 | + | 2.24287i | −0.0970584 | + | 0.168110i | ||||
\(179\) | −0.850579 | + | 1.47325i | −0.0635752 | + | 0.110116i | −0.896061 | − | 0.443931i | \(-0.853584\pi\) |
0.832486 | + | 0.554046i | \(0.186917\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.9941 | −1.26316 | −0.631581 | − | 0.775310i | \(-0.717594\pi\) | ||||
−0.631581 | + | 0.775310i | \(0.717594\pi\) | |||||||
\(182\) | −24.2399 | + | 6.94313i | −1.79678 | + | 0.514659i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.13252 | + | 7.15774i | 0.304654 | + | 0.527676i | ||||
\(185\) | 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 | \(0.238145\pi\) | |||||||
\(194\) | −11.2263 | − | 19.4445i | −0.806001 | − | 1.39603i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.25547 | − | 5.15198i | 0.589676 | − | 0.367999i | ||||
\(197\) | −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 | −0.977845 | − | 0.209332i | \(-0.932871\pi\) |
0.670209 | + | 0.742172i | \(0.266204\pi\) | |||||||
\(200\) | −1.80691 | + | 3.12965i | −0.127768 | + | 0.221300i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.05974 | −0.144923 | ||||||||
\(203\) | −0.0396931 | + | 0.159005i | −0.00278591 | + | 0.0111600i | ||||
\(204\) | 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 | ||||
\(209\) | −3.78892 | −0.262085 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.68439 | 0.391330 | 0.195665 | − | 0.980671i | \(-0.437314\pi\) | ||||
0.195665 | + | 0.980671i | \(0.437314\pi\) | |||||||
\(212\) | −1.05010 | − | 1.81882i | −0.0721209 | − | 0.124917i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.32062 | + | 9.21558i | −0.363710 | + | 0.629964i | ||||
\(215\) | −6.80708 | − | 11.7902i | −0.464239 | − | 0.804086i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.32102 | − | 7.07390i | −0.496983 | − | 0.480207i | ||||
\(218\) | 15.1757 | 1.02783 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.40372 | + | 2.43132i | −0.0946390 | + | 0.163920i | ||||
\(221\) | −4.00862 | + | 6.94313i | −0.269649 | + | 0.467045i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.7227 | −0.785007 | −0.392503 | − | 0.919751i | \(-0.628391\pi\) | ||||
−0.392503 | + | 0.919751i | \(0.628391\pi\) | |||||||
\(224\) | −12.7102 | − | 12.2812i | −0.849236 | − | 0.820571i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.3509 | − | 23.1245i | −0.888091 | − | 1.53822i | ||||
\(227\) | 5.59154 | − | 9.68482i | 0.371123 | − | 0.642804i | −0.618615 | − | 0.785694i | \(-0.712306\pi\) |
0.989739 | + | 0.142890i | \(0.0456394\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.82824 | + | 8.36275i | 0.319059 | + | 0.552626i | 0.980292 | − | 0.197554i | \(-0.0632999\pi\) |
−0.661233 | + | 0.750181i | \(0.729967\pi\) | |||||||
\(230\) | −18.0899 | −1.19281 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0695523 | 0.00456633 | ||||||||
\(233\) | 9.64492 | + | 16.7055i | 0.631860 | + | 1.09441i | 0.987171 | + | 0.159666i | \(0.0510416\pi\) |
−0.355311 | + | 0.934748i | \(0.615625\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.35243 | − | 11.0027i | 0.414387 | − | 0.717739i | ||||
\(236\) | −5.86881 | − | 10.1651i | −0.382027 | − | 0.661690i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.82754 | − | 7.32088i | 0.118462 | − | 0.474542i | ||||
\(239\) | −0.389282 | −0.0251806 | −0.0125903 | − | 0.999921i | \(-0.504008\pi\) | ||||
−0.0125903 | + | 0.999921i | \(0.504008\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.31807 | + | 9.21117i | −0.342567 | + | 0.593344i | −0.984909 | − | 0.173075i | \(-0.944630\pi\) |
0.642342 | + | 0.766419i | \(0.277963\pi\) | |||||||
\(242\) | 8.01932 | − | 13.8899i | 0.515502 | − | 0.892875i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.50299 | 0.288274 | ||||||||
\(245\) | −0.320700 | − | 9.33777i | −0.0204888 | − | 0.596568i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.48091 | − | 11.2253i | −0.412370 | − | 0.714247i | ||||
\(248\) | −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 | ||||
\(257\) | −2.34787 | − | 4.06663i | −0.146456 | − | 0.253669i | 0.783459 | − | 0.621443i | \(-0.213453\pi\) |
−0.929915 | + | 0.367774i | \(0.880120\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.43252 | + | 0.410323i | −0.0890127 | + | 0.0254962i | ||||
\(260\) | −9.60421 | −0.595628 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.85363 | + | 3.21059i | −0.114518 | + | 0.198351i | ||||
\(263\) | 9.77491 | − | 16.9306i | 0.602747 | − | 1.04399i | −0.389656 | − | 0.920960i | \(-0.627406\pi\) |
0.992403 | − | 0.123028i | \(-0.0392605\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.01648 | −0.123871 | ||||||||
\(266\) | 8.77294 | + | 8.47681i | 0.537903 | + | 0.519747i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.81929 | − | 8.34725i | −0.294385 | − | 0.509890i | ||||
\(269\) | −7.88365 | + | 13.6549i | −0.480675 | + | 0.832553i | −0.999754 | − | 0.0221730i | \(-0.992942\pi\) |
0.519079 | + | 0.854726i | \(0.326275\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.39882 | + | 12.8151i | 0.449446 | + | 0.778464i | 0.998350 | − | 0.0574218i | \(-0.0182880\pi\) |
−0.548904 | + | 0.835886i | \(0.684955\pi\) | |||||||
\(272\) | −7.50884 | −0.455290 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.08276 | −0.246649 | ||||||||
\(275\) | −2.43477 | − | 4.21715i | −0.146822 | − | 0.254304i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.72561 | − | 6.45295i | 0.223850 | − | 0.387720i | −0.732124 | − | 0.681172i | \(-0.761471\pi\) |
0.955974 | + | 0.293452i | \(0.0948040\pi\) | |||||||
\(278\) | 0.695380 | + | 1.20443i | 0.0417061 | + | 0.0722371i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.81196 | + | 1.09188i | −0.227808 | + | 0.0652521i | ||||
\(281\) | −25.9876 | −1.55029 | −0.775146 | − | 0.631782i | \(-0.782324\pi\) | ||||
−0.775146 | + | 0.631782i | \(0.782324\pi\) | |||||||
\(282\) | 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 | ||||||||
\(286\) | −14.4194 | −0.852638 | ||||||||
\(287\) | 5.78246 | − | 23.1638i | 0.341328 | − | 1.36732i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.30041 | + | 12.6447i | 0.429436 | + | 0.743805i | ||||
\(290\) | −0.0761152 | + | 0.131835i | −0.00446964 | + | 0.00774165i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.91754 | − | 3.32127i | −0.112215 | − | 0.194363i | ||||
\(293\) | −2.46178 | −0.143819 | −0.0719093 | − | 0.997411i | \(-0.522909\pi\) | ||||
−0.0719093 | + | 0.997411i | \(0.522909\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.2697 | −0.656150 | ||||||||
\(296\) | 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 | ||||||||
\(301\) | −6.53605 | + | 26.1825i | −0.376731 | + | 1.50914i | ||||
\(302\) | 23.3232 | 1.34210 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.06994 | − | 10.5134i | 0.348135 | − | 0.602987i | ||||
\(305\) | 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 | \(0.542480\pi\) | |||||||
\(308\) | 5.34979 | − | 1.53236i | 0.304833 | − | 0.0873145i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.72814 | − | 8.18938i | −0.268541 | − | 0.465126i | ||||
\(311\) | 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 | ||||
\(320\) | −1.73808 | − | 3.01044i | −0.0971614 | − | 0.168288i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 25.7868 | + | 24.9164i | 1.43704 | + | 1.38853i | ||||
\(323\) | 3.87885 | 0.215825 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.32930 | − | 14.4268i | 0.462026 | − | 0.800253i | ||||
\(326\) | 11.2493 | − | 19.4844i | 0.623041 | − | 1.07914i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.1323 | −0.559464 | ||||||||
\(329\) | −24.2100 | + | 6.93457i | −1.33474 | + | 0.382315i | ||||
\(330\) | 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 | ||||
\(335\) | −9.25437 | −0.505620 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.49749 | −0.0815737 | −0.0407869 | − | 0.999168i | \(-0.512986\pi\) | ||||
−0.0407869 | + | 0.999168i | \(0.512986\pi\) | |||||||
\(338\) | −12.6962 | − | 21.9905i | −0.690582 | − | 1.19612i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.43704 | − | 2.48903i | 0.0779344 | − | 0.134986i | ||||
\(341\) | −2.91087 | − | 5.04177i | −0.157632 | − | 0.273027i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.4044 | + | 13.7525i | −0.669772 | + | 0.742567i | ||||
\(344\) | 11.4528 | 0.617493 | ||||||||
\(345\) | 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 | ||||||||
\(349\) | −36.0013 | −1.92710 | −0.963551 | − | 0.267523i | \(-0.913795\pi\) | ||||
−0.963551 | + | 0.267523i | \(0.913795\pi\) | |||||||
\(350\) | −3.79735 | + | 15.2117i | −0.202977 | + | 0.813098i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.05363 | − | 8.75315i | −0.269360 | − | 0.466545i | ||||
\(353\) | −14.7465 | + | 25.5417i | −0.784877 | + | 1.35945i | 0.144196 | + | 0.989549i | \(0.453940\pi\) |
−0.929073 | + | 0.369897i | \(0.879393\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.22900 | + | 14.2530i | 0.436750 | + | 0.756473i | ||||
\(356\) | 1.95537 | 0.103635 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.13224 | 0.165544 | ||||||||
\(359\) | −2.70535 | − | 4.68580i | −0.142783 | − | 0.247307i | 0.785761 | − | 0.618531i | \(-0.212272\pi\) |
−0.928544 | + | 0.371224i | \(0.878938\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.36444 | − | 11.0235i | 0.334971 | − | 0.580186i | ||||
\(362\) | 15.6451 | + | 27.0981i | 0.822289 | + | 1.42425i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.6906 | + | 13.2285i | 0.717584 | + | 0.693362i | ||||
\(365\) | −3.68220 | −0.192735 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.5422 | − | 19.9916i | 0.602496 | − | 1.04355i | −0.389946 | − | 0.920838i | \(-0.627506\pi\) |
0.992442 | − | 0.122715i | \(-0.0391602\pi\) | |||||||
\(368\) | 17.8417 | − | 30.9027i | 0.930063 | − | 1.61092i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.38416 | −0.0719591 | ||||||||
\(371\) | 2.87445 | + | 2.77742i | 0.149234 | + | 0.144196i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.7515 | − | 18.6222i | −0.556692 | − | 0.964219i | −0.997770 | − | 0.0667498i | \(-0.978737\pi\) |
0.441078 | − | 0.897469i | \(-0.354596\pi\) | |||||||
\(374\) | 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 | ||||
\(383\) | −17.4604 | − | 30.2424i | −0.892187 | − | 1.54531i | −0.837248 | − | 0.546823i | \(-0.815837\pi\) |
−0.0549390 | − | 0.998490i | \(-0.517496\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.29411 | − | 5.18402i | 0.0659538 | − | 0.264202i | ||||
\(386\) | 11.3917 | 0.579823 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.47603 | + | 14.6809i | −0.430305 | + | 0.745311i | ||||
\(389\) | −14.4411 | + | 25.0127i | −0.732192 | + | 1.26819i | 0.223752 | + | 0.974646i | \(0.428169\pi\) |
−0.955944 | + | 0.293548i | \(0.905164\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.4013 | 0.576589 | ||||||||
\(392\) | 6.93779 | + | 3.69401i | 0.350411 | + | 0.186576i | ||||
\(393\) | 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 | 0.971549 | − | 0.236838i | \(-0.0761109\pi\) |
−0.690882 | + | 0.722968i | \(0.742778\pi\) | |||||||
\(398\) | 15.9810 | 0.801055 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.6022 | 0.780111 | ||||||||
\(401\) | −0.541061 | − | 0.937146i | −0.0270193 | − | 0.0467988i | 0.852200 | − | 0.523217i | \(-0.175268\pi\) |
−0.879219 | + | 0.476418i | \(0.841935\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.95802 | − | 17.2478i | 0.496044 | − | 0.859174i | ||||
\(404\) | 0.777570 | + | 1.34679i | 0.0386856 | + | 0.0670054i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.290086 | − | 0.0830905i | 0.0143967 | − | 0.00412371i | ||||
\(407\) | −0.852155 | −0.0422398 | ||||||||
\(408\) | 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 | ||||||||
\(412\) | 2.68365 | 0.132214 | ||||||||
\(413\) | 16.0648 | + | 15.5225i | 0.790497 | + | 0.763814i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.73879 | + | 6.47578i | 0.183530 | + | 0.317884i | ||||
\(416\) | 17.2884 | − | 29.9443i | 0.847632 | − | 1.46814i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.48816 | + | 6.04167i | 0.170611 | + | 0.295508i | ||||
\(419\) | 25.1811 | 1.23018 | 0.615090 | − | 0.788457i | \(-0.289120\pi\) | ||||
0.615090 | + | 0.788457i | \(0.289120\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 29.6607 | 1.44558 | 0.722788 | − | 0.691070i | \(-0.242860\pi\) | ||||
0.722788 | + | 0.691070i | \(0.242860\pi\) | |||||||
\(422\) | −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 | ||||||||
\(427\) | −8.23873 | + | 2.35985i | −0.398700 | + | 0.114201i | ||||
\(428\) | 8.03431 | 0.388353 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.5335 | + | 21.7086i | −0.604418 | + | 1.04688i | ||||
\(431\) | −2.44517 | + | 4.23516i | −0.117780 | + | 0.204000i | −0.918887 | − | 0.394520i | \(-0.870911\pi\) |
0.801108 | + | 0.598520i | \(0.204244\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.71430 | 0.466839 | 0.233420 | − | 0.972376i | \(-0.425008\pi\) | ||||
0.233420 | + | 0.972376i | \(0.425008\pi\) | |||||||
\(434\) | −4.53989 | + | 18.1862i | −0.217921 | + | 0.872965i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.72896 | − | 9.92285i | −0.274367 | − | 0.475218i | ||||
\(437\) | −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 | ||||
\(446\) | 10.7921 | + | 18.6925i | 0.511021 | + | 0.885115i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.66887 | + | 6.68528i | −0.0788468 | + | 0.315850i | ||||
\(449\) | −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 | ||||
\(452\) | −10.0802 | + | 17.4594i | −0.474131 | + | 0.821220i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −20.5907 | −0.966371 | ||||||||
\(455\) | 17.5720 | − | 5.03322i | 0.823788 | − | 0.235961i | ||||
\(456\) | 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 | ||||
\(461\) | 2.83081 | 0.131844 | 0.0659220 | − | 0.997825i | \(-0.479001\pi\) | ||||
0.0659220 | + | 0.997825i | \(0.479001\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.8648 | 1.29499 | 0.647494 | − | 0.762070i | \(-0.275817\pi\) | ||||
0.647494 | + | 0.762070i | \(0.275817\pi\) | |||||||
\(464\) | −0.150142 | − | 0.260053i | −0.00697016 | − | 0.0120727i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.7586 | − | 30.7588i | 0.822653 | − | 1.42488i | ||||
\(467\) | 13.3219 | + | 23.0742i | 0.616464 | + | 1.06775i | 0.990126 | + | 0.140182i | \(0.0447689\pi\) |
−0.373661 | + | 0.927565i | \(0.621898\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.1919 | + | 12.7466i | 0.609146 | + | 0.588585i | ||||
\(470\) | −23.3927 | −1.07903 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.74028 | − | 8.21041i | 0.218189 | − | 0.377915i | ||||
\(473\) | −7.71620 | + | 13.3648i | −0.354791 | + | 0.614516i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.05966 | −0.369803 | ||||||||
\(476\) | −5.47677 | + | 1.56873i | −0.251027 | + | 0.0719027i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.358381 | + | 0.620734i | 0.0163920 | + | 0.0283917i | ||||
\(479\) | −15.7895 | + | 27.3483i | −0.721443 | + | 1.24958i | 0.238979 | + | 0.971025i | \(0.423187\pi\) |
−0.960422 | + | 0.278551i | \(0.910146\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.45760 | − | 2.52464i | −0.0664609 | − | 0.115114i | ||||
\(482\) | 19.5837 | 0.892013 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.1094 | −0.550429 | ||||||||
\(485\) | 8.13817 | + | 14.0957i | 0.369535 | + | 0.640054i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.153087 | + | 0.265154i | −0.00693703 | + | 0.0120153i | −0.869473 | − | 0.493980i | \(-0.835541\pi\) |
0.862536 | + | 0.505996i | \(0.168875\pi\) | |||||||
\(488\) | 1.81855 | + | 3.14982i | 0.0823218 | + | 0.142586i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.5944 | + | 9.10792i | −0.659308 | + | 0.411454i | ||||
\(491\) | −18.1396 | −0.818629 | −0.409315 | − | 0.912393i | \(-0.634232\pi\) | ||||
−0.409315 | + | 0.912393i | \(0.634232\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0479723 | − | 0.0830905i | 0.00216057 | − | 0.00374221i | ||||
\(494\) | −11.9329 | + | 20.6684i | −0.536887 | + | 0.929916i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.6531 | 0.837549 | ||||||||
\(497\) | 7.90135 | − | 31.6518i | 0.354424 | − | 1.41978i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.6546 | + | 18.4543i | 0.476964 | + | 0.826126i | 0.999652 | − | 0.0263983i | \(-0.00840381\pi\) |
−0.522687 | + | 0.852524i | \(0.675070\pi\) | |||||||
\(500\) | −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 | ||||
\(509\) | 18.3868 | + | 31.8468i | 0.814979 | + | 1.41159i | 0.909343 | + | 0.416048i | \(0.136585\pi\) |
−0.0943635 | + | 0.995538i | \(0.530082\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.24891 | + | 5.07173i | 0.232198 | + | 0.224360i | ||||
\(512\) | 21.4975 | 0.950065 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.32299 | + | 7.48764i | −0.190679 | + | 0.330265i | ||||
\(515\) | 1.28834 | − | 2.23146i | 0.0567709 | − | 0.0983300i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.4017 | −0.633384 | ||||||||
\(518\) | 1.97310 | + | 1.90649i | 0.0866929 | + | 0.0837666i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.87870 | − | 6.71810i | −0.170092 | − | 0.294608i | ||||
\(521\) | 9.57535 | − | 16.5850i | 0.419504 | − | 0.726602i | −0.576386 | − | 0.817178i | \(-0.695537\pi\) |
0.995890 | + | 0.0905758i | \(0.0288707\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.9715 | − | 36.3236i | −0.917018 | − | 1.58832i | −0.803920 | − | 0.594737i | \(-0.797256\pi\) |
−0.113097 | − | 0.993584i | \(-0.536077\pi\) | |||||||
\(524\) | 2.79905 | 0.122277 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −35.9959 | −1.56950 | ||||||||
\(527\) | 2.97996 | + | 5.16144i | 0.129809 | + | 0.224836i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.5906 | + | 27.0037i | −0.677851 | + | 1.17407i | ||||
\(530\) | 1.85641 | + | 3.21539i | 0.0806372 | + | 0.139668i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.23082 | − | 8.93637i | 0.0967183 | − | 0.387441i | ||||
\(533\) | 46.7069 | 2.02310 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.85702 | − | 6.68056i | 0.166754 | − | 0.288826i | ||||
\(536\) | 3.89258 | − | 6.74214i | 0.168134 | − | 0.291216i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 29.0314 | 1.25163 | ||||||||
\(539\) | −8.98500 | + | 5.60726i | −0.387011 | + | 0.241522i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.44272 | − | 2.49886i | −0.0620273 | − | 0.107434i | 0.833344 | − | 0.552754i | \(-0.186423\pi\) |
−0.895371 | + | 0.445320i | \(0.853090\pi\) | |||||||
\(542\) | 13.6230 | − | 23.5957i | 0.585158 | − | 1.01352i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.17358 | + | 8.96090i | 0.221815 | + | 0.384196i | ||||
\(545\) | −11.0012 | −0.471239 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.77476 | −0.118640 | −0.0593201 | − | 0.998239i | \(-0.518893\pi\) | ||||
−0.0593201 | + | 0.998239i | \(0.518893\pi\) | |||||||
\(548\) | 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 | ||||||||
\(553\) | 15.0558 | − | 4.31248i | 0.640236 | − | 0.183385i | ||||
\(554\) | −13.7195 | −0.582886 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.525024 | − | 0.909368i | 0.0222660 | − | 0.0385658i | ||||
\(557\) | −15.5344 | + | 26.9064i | −0.658214 | + | 1.14006i | 0.322864 | + | 0.946445i | \(0.395354\pi\) |
−0.981078 | + | 0.193614i | \(0.937979\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −52.7939 | −2.23294 | ||||||||
\(560\) | 12.3113 | + | 11.8958i | 0.520249 | + | 0.502688i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.9248 | + | 41.4389i | 1.00920 | + | 1.74799i | ||||
\(563\) | 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 | \(0.0630358\pi\) | |||||||
\(572\) | 5.44345 | + | 9.42834i | 0.227602 | + | 0.394218i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −42.2595 | + | 12.1046i | −1.76388 | + | 0.505235i | ||||
\(575\) | −23.6902 | −0.987950 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.0812 | − | 20.9253i | 0.502949 | − | 0.871133i | −0.497045 | − | 0.867725i | \(-0.665582\pi\) |
0.999994 | − | 0.00340833i | \(-0.00108491\pi\) | |||||||
\(578\) | 13.4418 | − | 23.2819i | 0.559106 | − | 0.968400i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.114937 | 0.00477248 | ||||||||
\(581\) | 3.58993 | − | 14.3808i | 0.148935 | − | 0.596615i | ||||
\(582\) | 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 | ||||
\(587\) | 36.0289 | 1.48707 | 0.743537 | − | 0.668695i | \(-0.233147\pi\) | ||||
0.743537 | + | 0.668695i | \(0.233147\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.63566 | −0.397030 | ||||||||
\(590\) | 10.3752 | + | 17.9703i | 0.427138 | + | 0.739825i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.36517 | − | 2.36455i | 0.0561082 | − | 0.0971823i | ||||
\(593\) | −12.4668 | − | 21.5932i | −0.511951 | − | 0.886726i | −0.999904 | − | 0.0138558i | \(-0.995589\pi\) |
0.487953 | − | 0.872870i | \(-0.337744\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.32482 | + | 5.30706i | −0.0543124 | + | 0.217568i | ||||
\(596\) | −9.15424 | −0.374972 | ||||||||
\(597\) | 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 | ||||||||
\(601\) | −3.72895 | −0.152107 | −0.0760534 | − | 0.997104i | \(-0.524232\pi\) | ||||
−0.0760534 | + | 0.997104i | \(0.524232\pi\) | |||||||
\(602\) | 47.7669 | − | 13.6821i | 1.94683 | − | 0.557639i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.80470 | − | 15.2502i | −0.358258 | − | 0.620521i | ||||
\(605\) | −5.81337 | + | 10.0691i | −0.236347 | + | 0.409365i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.8264 | − | 20.4839i | −0.480018 | − | 0.831415i | 0.519719 | − | 0.854337i | \(-0.326036\pi\) |
−0.999737 | + | 0.0229218i | \(0.992703\pi\) | |||||||
\(608\) | −16.7287 | −0.678439 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.96059 | −0.322315 | ||||||||
\(611\) | −24.6339 | − | 42.6671i | −0.996580 | − | 1.72613i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.89952 | − | 3.29006i | 0.0767208 | − | 0.132884i | −0.825113 | − | 0.564968i | \(-0.808888\pi\) |
0.901833 | + | 0.432084i | \(0.142222\pi\) | |||||||
\(614\) | 4.29264 | + | 7.43507i | 0.173237 | + | 0.300055i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.23242 | + | 3.12331i | 0.130238 | + | 0.125842i | ||||
\(617\) | −35.1230 | −1.41400 | −0.706999 | − | 0.707214i | \(-0.749952\pi\) | ||||
−0.706999 | + | 0.707214i | \(0.749952\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.5816 | − | 18.3279i | 0.425311 | − | 0.736660i | −0.571138 | − | 0.820854i | \(-0.693498\pi\) |
0.996449 | + | 0.0841934i | \(0.0268314\pi\) | |||||||
\(620\) | −3.56983 | + | 6.18312i | −0.143368 | + | 0.248320i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −50.6011 | −2.02892 | ||||||||
\(623\) | −3.57758 | + | 1.02474i | −0.143333 | + | 0.0410553i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.725240 | − | 1.25615i | −0.0290096 | − | 0.0502461i | ||||
\(626\) | −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 | ||||
\(635\) | 5.67273 | + | 9.82546i | 0.225115 | + | 0.389911i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −31.9811 | − | 17.0283i | −1.26714 | − | 0.674685i | ||||
\(638\) | 0.172562 | 0.00683178 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.71622 | − | 9.90078i | 0.225953 | − | 0.391363i | ||||
\(641\) | −4.93735 | + | 8.55174i | −0.195013 | + | 0.337773i | −0.946905 | − | 0.321514i | \(-0.895808\pi\) |
0.751891 | + | 0.659287i | \(0.229142\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.9496 | −1.73320 | −0.866602 | − | 0.499000i | \(-0.833701\pi\) | ||||
−0.866602 | + | 0.499000i | \(0.833701\pi\) | |||||||
\(644\) | 6.55717 | − | 26.2672i | 0.258389 | − | 1.03507i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.57095 | − | 6.18507i | −0.140497 | − | 0.243348i | ||||
\(647\) | −22.1936 | + | 38.4404i | −0.872521 | + | 1.51125i | −0.0131398 | + | 0.999914i | \(0.504183\pi\) |
−0.859381 | + | 0.511336i | \(0.829151\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.38743 | + | 11.0634i | 0.250729 | + | 0.434275i | ||||
\(650\) | −30.6725 | −1.20307 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −16.9868 | −0.665255 | ||||||||
\(653\) | 20.9956 | + | 36.3655i | 0.821622 | + | 1.42309i | 0.904474 | + | 0.426529i | \(0.140264\pi\) |
−0.0828523 | + | 0.996562i | \(0.526403\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.34374 | − | 2.32742i | 0.0525042 | − | 0.0909399i | ||||
\(656\) | 21.8726 | + | 37.8844i | 0.853980 | + | 1.47914i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 33.3459 | + | 32.2203i | 1.29996 | + | 1.25608i | ||||
\(659\) | −39.2729 | −1.52986 | −0.764928 | − | 0.644115i | \(-0.777226\pi\) | ||||
−0.764928 | + | 0.644115i | \(0.777226\pi\) | |||||||
\(660\) | 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 | ||||||||
\(664\) | −6.29045 | −0.244117 | ||||||||
\(665\) | −6.35969 | − | 6.14502i | −0.246618 | − | 0.238293i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.227973 | + | 0.394862i | 0.00882717 | + | 0.0152891i | ||||
\(668\) | −2.45014 | + | 4.24376i | −0.0947987 | + | 0.164196i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.51976 | + | 14.7567i | 0.329147 | + | 0.570099i | ||||
\(671\) | −4.90091 | −0.189198 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.8676 | 0.418917 | 0.209458 | − | 0.977818i | \(-0.432830\pi\) | ||||
0.209458 | + | 0.977818i | \(0.432830\pi\) | |||||||
\(674\) | 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 | ||||||||
\(679\) | 7.81414 | − | 31.3024i | 0.299879 | − | 1.20128i | ||||
\(680\) | 2.32142 | 0.0890223 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.35961 | + | 9.28312i | −0.205230 | + | 0.355469i | ||||
\(683\) | −5.92034 | + | 10.2543i | −0.226536 | + | 0.392371i | −0.956779 | − | 0.290816i | \(-0.906073\pi\) |
0.730243 | + | 0.683187i | \(0.239407\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.95968 | 0.113083 | ||||||||
\(686\) | 33.3489 | + | 7.11864i | 1.27327 | + | 0.271791i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −24.7230 | − | 42.8216i | −0.942557 | − | 1.63256i | ||||
\(689\) | −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 | ||||
\(698\) | 33.1435 | + | 57.4062i | 1.25450 | + | 2.17286i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 11.3799 | − | 3.25959i | 0.430119 | − | 0.123201i | ||||
\(701\) | 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 | ||||
\(704\) | −1.97020 | + | 3.41249i | −0.0742549 | + | 0.128613i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 54.3037 | 2.04375 | ||||||||
\(707\) | −2.12846 | − | 2.05661i | −0.0800489 | − | 0.0773469i | ||||
\(708\) | 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 | ||||
\(713\) | −28.3226 | −1.06069 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.4529 | 0.390918 | ||||||||
\(716\) | −1.18245 | − | 2.04806i | −0.0441901 | − | 0.0765395i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.98119 | + | 8.62768i | −0.185897 | + | 0.321982i | ||||
\(719\) | −12.1969 | − | 21.1257i | −0.454869 | − | 0.787857i | 0.543811 | − | 0.839208i | \(-0.316981\pi\) |
−0.998681 | + | 0.0513506i | \(0.983647\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.91003 | + | 1.40640i | −0.182859 | + | 0.0523771i | ||||
\(722\) | −23.4369 | −0.872233 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.8123 | − | 20.4595i | 0.439002 | − | 0.760373i | ||||
\(725\) | −0.0996792 | + | 0.172649i | −0.00370199 | + | 0.00641204i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 37.8506 | 1.40380 | 0.701900 | − | 0.712275i | \(-0.252335\pi\) | ||||
0.701900 | + | 0.712275i | \(0.252335\pi\) | |||||||
\(728\) | −3.72426 | + | 14.9189i | −0.138030 | + | 0.552932i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.38991 | + | 5.87150i | 0.125466 | + | 0.217314i | ||||
\(731\) | 7.89934 | − | 13.6821i | 0.292168 | − | 0.506049i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.20077 | − | 2.07980i | −0.0443516 | − | 0.0768193i | 0.842997 | − | 0.537918i | \(-0.180789\pi\) |
−0.887349 | + | 0.461098i | \(0.847456\pi\) | |||||||
\(734\) | −42.5038 | −1.56884 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −49.1716 | −1.81249 | ||||||||
\(737\) | 5.24517 | + | 9.08490i | 0.193208 | + | 0.334646i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1940 | + | 26.3167i | −0.558920 | + | 0.968077i | 0.438667 | + | 0.898650i | \(0.355451\pi\) |
−0.997587 | + | 0.0694277i | \(0.977883\pi\) | |||||||
\(740\) | 0.522533 | + | 0.905053i | 0.0192087 | + | 0.0332704i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.78249 | − | 7.14043i | 0.0654374 | − | 0.262133i | ||||
\(743\) | −5.09570 | −0.186943 | −0.0934715 | − | 0.995622i | \(-0.529796\pi\) | ||||
−0.0934715 | + | 0.995622i | \(0.529796\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.39467 | + | 7.61179i | −0.161008 | + | 0.278874i | ||||
\(746\) | −19.7961 | + | 34.2879i | −0.724787 | + | 1.25537i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.25793 | −0.119122 | ||||||||
\(749\) | −14.6997 | + | 4.21049i | −0.537115 | + | 0.153848i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.487506 | + | 0.844384i | 0.0177893 | + | 0.0308120i | 0.874783 | − | 0.484515i | \(-0.161004\pi\) |
−0.856994 | + | 0.515327i | \(0.827671\pi\) | |||||||
\(752\) | 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 | ||||
\(761\) | −27.0875 | − | 46.9169i | −0.981920 | − | 1.70073i | −0.654897 | − | 0.755718i | \(-0.727288\pi\) |
−0.327023 | − | 0.945016i | \(-0.606045\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.6820 | + | 15.1526i | 0.567726 | + | 0.548562i | ||||
\(764\) | −31.5484 | −1.14138 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −32.1489 | + | 55.6835i | −1.16159 | + | 2.01193i | ||||
\(767\) | −21.8513 | + | 37.8475i | −0.789004 | + | 1.36659i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.8652 | 0.752417 | 0.376208 | − | 0.926535i | \(-0.377228\pi\) | ||||
0.376208 | + | 0.926535i | \(0.377228\pi\) | |||||||
\(770\) | −9.45762 | + | 2.70898i | −0.340829 | + | 0.0976249i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.30047 | − | 7.44863i | −0.154777 | − | 0.268082i | ||||
\(773\) | 27.4972 | − | 47.6266i | 0.989007 | − | 1.71301i | 0.366447 | − | 0.930439i | \(-0.380574\pi\) |
0.622561 | − | 0.782572i | \(-0.286092\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.19189 | − | 10.7247i | −0.222419 | − | 0.385242i | ||||
\(776\) | −13.6923 | −0.491526 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 53.1790 | 1.90656 | ||||||||
\(779\) | −11.2987 | − | 19.5700i | −0.404819 | − | 0.701168i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.32802 | − | 16.1566i | 0.333783 | − | 0.578129i | ||||
\(782\) | −10.4963 | − | 18.1801i | −0.375346 | − | 0.650119i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.16477 | − | 33.9144i | −0.0415989 | − | 1.21123i | ||||
\(785\) | 23.1012 | 0.824516 | ||||||||
\(786\) | 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 | ||||||||
\(790\) | 14.5475 | 0.517576 | ||||||||
\(791\) | 9.29301 | − | 37.2266i | 0.330421 | − | 1.32362i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.38296 | − | 14.5197i | −0.297688 | − | 0.515610i | ||||
\(794\) | 10.2967 | − | 17.8344i | 0.365416 | − | 0.632919i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.03296 | − | 10.4494i | −0.213832 | − | 0.370369i | ||||
\(797\) | 7.07547 | 0.250626 | 0.125313 | − | 0.992117i | \(-0.460006\pi\) | ||||
0.125313 | + | 0.992117i | \(0.460006\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.7435 | 0.521586 | ||||||||
\(800\) | −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 | ||||||||
\(805\) | −18.6934 | − | 18.0624i | −0.658855 | − | 0.636615i | ||||
\(806\) | −36.6702 | −1.29165 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.628050 | + | 1.08781i | −0.0220947 | + | 0.0382692i | ||||
\(809\) | 2.97060 | − | 5.14522i | 0.104441 | − | 0.180896i | −0.809069 | − | 0.587714i | \(-0.800028\pi\) |
0.913510 | + | 0.406817i | \(0.133361\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.4139 | 1.55958 | 0.779791 | − | 0.626039i | \(-0.215325\pi\) | ||||
0.779791 | + | 0.626039i | \(0.215325\pi\) | |||||||
\(812\) | −0.163840 | − | 0.158309i | −0.00574965 | − | 0.00555557i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.784512 | + | 1.35881i | 0.0274971 | + | 0.0476264i | ||||
\(815\) | −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 | \(0.113919\pi\) | |||||||
\(824\) | 1.08380 | + | 1.87720i | 0.0377560 | + | 0.0653953i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.96205 | − | 39.9067i | 0.346624 | − | 1.38853i | ||||
\(827\) | 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 | −0.257234 | − | 0.966349i | \(-0.582811\pi\) |
0.965500 | − | 0.260403i | \(-0.0838555\pi\) | |||||||
\(830\) | 6.88402 | − | 11.9235i | 0.238948 | − | 0.413870i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.4801 | −0.467337 | ||||||||
\(833\) | 9.19826 | − | 5.74035i | 0.318701 | − | 0.198891i | ||||
\(834\) | 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 | ||||
\(839\) | 19.2034 | 0.662976 | 0.331488 | − | 0.943459i | \(-0.392449\pi\) | ||||
0.331488 | + | 0.943459i | \(0.392449\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9962 | −0.999868 | ||||||||
\(842\) | −27.3063 | − | 47.2959i | −0.941036 | − | 1.62992i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.95113 | + | 6.84355i | −0.136003 | + | 0.235565i | ||||
\(845\) | 9.20374 | + | 15.9413i | 0.316618 | + | 0.548399i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.1556 | − | 6.34612i | 0.761276 | − | 0.218055i | ||||
\(848\) | −7.32376 | −0.251499 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.58940 | − | 7.94907i | 0.157415 | − | 0.272651i | ||||
\(851\) | −2.07286 | + | 3.59029i | −0.0710566 | + | 0.123074i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.9011 | 0.475965 | 0.237982 | − | 0.971269i | \(-0.423514\pi\) | ||||
0.237982 | + | 0.971269i | \(0.423514\pi\) | |||||||
\(854\) | 11.3477 | + | 10.9646i | 0.388309 | + | 0.375202i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.24469 | + | 5.61996i | 0.110901 | + | 0.192086i | ||||
\(857\) | 28.4919 | − | 49.3494i | 0.973265 | − | 1.68574i | 0.287718 | − | 0.957715i | \(-0.407103\pi\) |
0.685547 | − | 0.728029i | \(-0.259563\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.0501 | + | 17.4073i | 0.342905 | + | 0.593929i | 0.984971 | − | 0.172721i | \(-0.0552557\pi\) |
−0.642066 | + | 0.766650i | \(0.721922\pi\) | |||||||
\(860\) | 18.9260 | 0.645370 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.00429 | 0.306687 | ||||||||
\(863\) | 3.08893 | + | 5.35018i | 0.105148 | + | 0.182122i | 0.913799 | − | 0.406167i | \(-0.133135\pi\) |
−0.808650 | + | 0.588289i | \(0.799802\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.76781 | + | 11.7222i | −0.230112 | + | 0.398566i | ||||
\(866\) | −8.94318 | − | 15.4900i | −0.303902 | − | 0.526373i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.6051 | − | 3.89697i | 0.461788 | − | 0.132272i | ||||
\(869\) | 8.95612 | 0.303816 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.9436 | + | 31.0792i | −0.607996 | + | 1.05308i | ||||
\(872\) | 4.62732 | − | 8.01476i | 0.156701 | − | 0.271414i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 33.9396 | 1.14802 | ||||||||
\(875\) | 7.02935 | − | 28.1587i | 0.237636 | − | 0.951937i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 18.6287 | + | 32.2658i | 0.629046 | + | 1.08954i | 0.987743 | + | 0.156086i | \(0.0498877\pi\) |
−0.358697 | + | 0.933454i | \(0.616779\pi\) | |||||||
\(878\) | 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 | ||||
\(887\) | 14.2581 | + | 24.6957i | 0.478739 | + | 0.829201i | 0.999703 | − | 0.0243782i | \(-0.00776058\pi\) |
−0.520964 | + | 0.853579i | \(0.674427\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.44686 | − | 21.8194i | 0.182682 | − | 0.731800i | ||||
\(890\) | −3.45680 | −0.115872 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.14822 | − | 14.1131i | 0.272823 | − | 0.472543i | ||||
\(893\) | −11.9182 | + | 20.6430i | −0.398828 | + | 0.690790i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.27063 | −0.0758986 | ||||||||
\(896\) | −21.7853 | + | 6.24006i | −0.727797 | + | 0.208466i | ||||
\(897\) | 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 | ||||
\(902\) | −25.1386 | −0.837025 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −16.2837 | −0.541587 | ||||||||
\(905\) | −11.3415 | − | 19.6440i | −0.377003 | − | 0.652989i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.94577 | − | 6.83428i | 0.131017 | − | 0.226929i | −0.793052 | − | 0.609154i | \(-0.791509\pi\) |
0.924069 | + | 0.382226i | \(0.124842\pi\) | |||||||
\(908\) | 7.77317 | + | 13.4635i | 0.257962 | + | 0.446803i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24.2029 | − | 23.3860i | −0.802319 | − | 0.775237i | ||||
\(911\) | −28.4412 | −0.942299 | −0.471150 | − | 0.882053i | \(-0.656161\pi\) | ||||
−0.471150 | + | 0.882053i | \(0.656161\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.23813 | − | 7.34065i | 0.140262 | − | 0.242940i | ||||
\(914\) | −37.4007 | + | 64.7798i | −1.23710 | + | 2.14273i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.4241 | −0.443545 | ||||||||
\(917\) | −5.12118 | + | 1.46688i | −0.169116 | + | 0.0484406i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.99271 | + | 6.91558i | 0.131707 | + | 0.228124i | 0.924335 | − | 0.381582i | \(-0.124621\pi\) |
−0.792627 | + | 0.609706i | \(0.791287\pi\) | |||||||
\(920\) | −5.51590 | + | 9.55382i | −0.181854 | + | 0.314980i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.60610 | − | 4.51390i | −0.0858274 | − | 0.148657i | ||||
\(923\) | 63.8219 | 2.10072 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.81267 | −0.0596004 | ||||||||
\(926\) | −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 | ||||||||
\(931\) | 0.601686 | + | 17.5192i | 0.0197195 | + | 0.574169i | ||||
\(932\) | −26.8161 | −0.878391 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 24.5288 | − | 42.4852i | 0.802608 | − | 1.39016i | ||||
\(935\) | −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 | \(0.208256\pi\) | |||||||
\(938\) | 8.18053 | − | 32.7701i | 0.267104 | − | 1.06998i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.83094 | + | 15.2956i | 0.288034 | + | 0.498889i | ||||
\(941\) | 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 | ||||
\(950\) | 7.41989 | + | 12.8516i | 0.240733 | + | 0.416962i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.30914 | − | 3.19744i | −0.107250 | − | 0.103629i | ||||
\(953\) | −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 | ||||
\(956\) | 0.270584 | − | 0.468665i | 0.00875130 | − | 0.0151577i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 58.1447 | 1.87857 | ||||||||
\(959\) | −4.21896 | − | 4.07655i | −0.136237 | − | 0.131639i | ||||
\(960\) | 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 | ||||
\(965\) | −8.25809 | −0.265837 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.72734 | −0.0555475 | −0.0277738 | − | 0.999614i | \(-0.508842\pi\) | ||||
−0.0277738 | + | 0.999614i | \(0.508842\pi\) | |||||||
\(968\) | −4.89045 | − | 8.47050i | −0.157185 | − | 0.272252i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 14.9843 | − | 25.9536i | 0.481118 | − | 0.833320i | ||||
\(971\) | 3.78085 | + | 6.54863i | 0.121333 | + | 0.210156i | 0.920294 | − | 0.391228i | \(-0.127950\pi\) |
−0.798960 | + | 0.601384i | \(0.794616\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.484024 | + | 1.93894i | −0.0155171 | + | 0.0621595i | ||||
\(974\) | 0.563740 | 0.0180634 | ||||||||
\(975\) | 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 | ||||||||
\(979\) | −2.12817 | −0.0680166 | ||||||||
\(980\) | 11.4648 | + | 6.10443i | 0.366231 | + | 0.194999i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 16.6997 | + | 28.9247i | 0.532909 | + | 0.923025i | ||||
\(983\) | 16.1486 | − | 27.9702i | 0.515061 | − | 0.892112i | −0.484786 | − | 0.874633i | \(-0.661103\pi\) |
0.999847 | − | 0.0174790i | \(-0.00556402\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.52033 | − | 11.2936i | −0.207755 | − | 0.359842i | ||||
\(986\) | −0.176657 | −0.00562591 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.0191 | 0.573264 | ||||||||
\(989\) | 37.5391 | + | 65.0197i | 1.19367 | + | 2.06750i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.15502 | + | 12.3929i | −0.227287 | + | 0.393672i | −0.957003 | − | 0.290078i | \(-0.906319\pi\) |
0.729716 | + | 0.683750i | \(0.239652\pi\) | |||||||
\(992\) | −12.8520 | − | 22.2602i | −0.408050 | − | 0.706764i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −57.7448 | + | 16.5401i | −1.83155 | + | 0.524619i | ||||
\(995\) | −11.5849 | −0.367268 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −28.1262 | + | 48.7160i | −0.890765 | + | 1.54285i | −0.0518058 | + | 0.998657i | \(0.516498\pi\) |
−0.838960 | + | 0.544194i | \(0.816836\pi\) | |||||||
\(998\) | 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 \(a_p\))