Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(195,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.195");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | 12.0.144054149089536.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{11} + x^{9} + 48x^{8} - 189x^{7} + 431x^{6} - 654x^{5} + 624x^{4} - 340x^{3} + 96x^{2} - 12x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 195.3 | ||
Root | \(1.09935 - 0.468876i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 392.195 |
Dual form | 392.2.e.e.195.2 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30084 | + | 0.554812i | −0.919832 | + | 0.392311i | ||||
\(3\) | − | 0.480901i | − | 0.277648i | −0.990317 | − | 0.138824i | \(-0.955668\pi\) | ||
0.990317 | − | 0.138824i | \(-0.0443323\pi\) | |||||||
\(4\) | 1.38437 | − | 1.44344i | 0.692184 | − | 0.721721i | ||||
\(5\) | −3.19427 | −1.42852 | −0.714260 | − | 0.699880i | \(-0.753237\pi\) | ||||
−0.714260 | + | 0.699880i | \(0.753237\pi\) | |||||||
\(6\) | 0.266810 | + | 0.625575i | 0.108925 | + | 0.255390i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | + | 2.64575i | −0.353553 | + | 0.935414i | ||||
\(9\) | 2.76873 | 0.922911 | ||||||||
\(10\) | 4.15523 | − | 1.77222i | 1.31400 | − | 0.560425i | ||||
\(11\) | −1.60168 | −0.482924 | −0.241462 | − | 0.970410i | \(-0.577627\pi\) | ||||
−0.241462 | + | 0.970410i | \(0.577627\pi\) | |||||||
\(12\) | −0.694153 | − | 0.665743i | −0.200385 | − | 0.192184i | ||||
\(13\) | −1.38831 | −0.385047 | −0.192523 | − | 0.981292i | \(-0.561667\pi\) | ||||
−0.192523 | + | 0.981292i | \(0.561667\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.53613i | 0.396626i | ||||||||
\(16\) | −0.167055 | − | 3.99651i | −0.0417638 | − | 0.999128i | ||||
\(17\) | 4.02534i | 0.976288i | 0.872763 | + | 0.488144i | \(0.162326\pi\) | ||||
−0.872763 | + | 0.488144i | \(0.837674\pi\) | |||||||
\(18\) | −3.60168 | + | 1.53613i | −0.848924 | + | 0.362069i | ||||
\(19\) | 5.27649i | 1.21051i | 0.796032 | + | 0.605255i | \(0.206929\pi\) | ||||
−0.796032 | + | 0.605255i | \(0.793071\pi\) | |||||||
\(20\) | −4.42204 | + | 4.61075i | −0.988799 | + | 1.03099i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.08353 | − | 0.888631i | 0.444210 | − | 0.189457i | ||||
\(23\) | 4.42301i | 0.922262i | 0.887332 | + | 0.461131i | \(0.152556\pi\) | ||||
−0.887332 | + | 0.461131i | \(0.847444\pi\) | |||||||
\(24\) | 1.27234 | + | 0.480901i | 0.259716 | + | 0.0981635i | ||||
\(25\) | 5.20336 | 1.04067 | ||||||||
\(26\) | 1.80596 | − | 0.770249i | 0.354179 | − | 0.151058i | ||||
\(27\) | − | 2.77419i | − | 0.533893i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.10613i | 0.948185i | 0.880475 | + | 0.474093i | \(0.157224\pi\) | ||||
−0.880475 | + | 0.474093i | \(0.842776\pi\) | |||||||
\(30\) | −0.852262 | − | 1.99826i | −0.155601 | − | 0.364830i | ||||
\(31\) | 0.115962 | 0.0208274 | 0.0104137 | − | 0.999946i | \(-0.496685\pi\) | ||||
0.0104137 | + | 0.999946i | \(0.496685\pi\) | |||||||
\(32\) | 2.43462 | + | 5.10613i | 0.430385 | + | 0.902646i | ||||
\(33\) | 0.770249i | 0.134083i | ||||||||
\(34\) | −2.23331 | − | 5.23632i | −0.383009 | − | 0.898022i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.83294 | − | 3.99651i | 0.638824 | − | 0.666085i | ||||
\(37\) | 5.34727i | 0.879086i | 0.898222 | + | 0.439543i | \(0.144860\pi\) | ||||
−0.898222 | + | 0.439543i | \(0.855140\pi\) | |||||||
\(38\) | −2.92746 | − | 6.86387i | −0.474897 | − | 1.11347i | ||||
\(39\) | 0.667638i | 0.106908i | ||||||||
\(40\) | 3.19427 | − | 8.45124i | 0.505058 | − | 1.33626i | ||||
\(41\) | 4.21689i | 0.658568i | 0.944231 | + | 0.329284i | \(0.106807\pi\) | ||||
−0.944231 | + | 0.329284i | \(0.893193\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | −2.21731 | + | 2.31193i | −0.334272 | + | 0.348537i | ||||
\(45\) | −8.84408 | −1.31840 | ||||||||
\(46\) | −2.45394 | − | 5.75363i | −0.361814 | − | 0.848327i | ||||
\(47\) | −10.1164 | −1.47563 | −0.737816 | − | 0.675002i | \(-0.764143\pi\) | ||||
−0.737816 | + | 0.675002i | \(0.764143\pi\) | |||||||
\(48\) | −1.92193 | + | 0.0803370i | −0.277406 | + | 0.0115956i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.76873 | + | 2.88689i | −0.957244 | + | 0.408267i | ||||
\(51\) | 1.93579 | 0.271065 | ||||||||
\(52\) | −1.92193 | + | 2.00394i | −0.266523 | + | 0.277897i | ||||
\(53\) | 7.08425i | 0.973096i | 0.873654 | + | 0.486548i | \(0.161744\pi\) | ||||
−0.873654 | + | 0.486548i | \(0.838256\pi\) | |||||||
\(54\) | 1.53915 | + | 3.60878i | 0.209452 | + | 0.491092i | ||||
\(55\) | 5.11619 | 0.689868 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.53747 | 0.336096 | ||||||||
\(58\) | −2.83294 | − | 6.64226i | −0.371984 | − | 0.872172i | ||||
\(59\) | − | 5.06748i | − | 0.659729i | −0.944028 | − | 0.329865i | \(-0.892997\pi\) | ||
0.944028 | − | 0.329865i | \(-0.107003\pi\) | |||||||
\(60\) | 2.21731 | + | 2.12656i | 0.286254 | + | 0.274538i | ||||
\(61\) | 8.42643 | 1.07889 | 0.539447 | − | 0.842020i | \(-0.318633\pi\) | ||||
0.539447 | + | 0.842020i | \(0.318633\pi\) | |||||||
\(62\) | −0.150848 | + | 0.0643370i | −0.0191577 | + | 0.00817081i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.00000 | − | 5.29150i | −0.750000 | − | 0.661438i | ||||
\(65\) | 4.43462 | 0.550047 | ||||||||
\(66\) | −0.427343 | − | 1.00197i | −0.0526023 | − | 0.123334i | ||||
\(67\) | −10.0363 | −1.22613 | −0.613065 | − | 0.790033i | \(-0.710064\pi\) | ||||
−0.613065 | + | 0.790033i | \(0.710064\pi\) | |||||||
\(68\) | 5.81035 | + | 5.57255i | 0.704608 | + | 0.675771i | ||||
\(69\) | 2.12703 | 0.256064 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 5.29150i | − | 0.627986i | −0.949425 | − | 0.313993i | \(-0.898333\pi\) | ||
0.949425 | − | 0.313993i | \(-0.101667\pi\) | |||||||
\(72\) | −2.76873 | + | 7.32538i | −0.326298 | + | 0.863305i | ||||
\(73\) | 10.7445i | 1.25755i | 0.777586 | + | 0.628776i | \(0.216444\pi\) | ||||
−0.777586 | + | 0.628776i | \(0.783556\pi\) | |||||||
\(74\) | −2.96673 | − | 6.95594i | −0.344875 | − | 0.808611i | ||||
\(75\) | − | 2.50230i | − | 0.288941i | ||||||
\(76\) | 7.61631 | + | 7.30460i | 0.873651 | + | 0.837895i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.370413 | − | 0.868490i | −0.0419411 | − | 0.0983371i | ||||
\(79\) | − | 11.9338i | − | 1.34265i | −0.741162 | − | 0.671327i | \(-0.765725\pi\) | ||
0.741162 | − | 0.671327i | \(-0.234275\pi\) | |||||||
\(80\) | 0.533619 | + | 12.7659i | 0.0596604 | + | 1.42727i | ||||
\(81\) | 6.97209 | 0.774677 | ||||||||
\(82\) | −2.33958 | − | 5.48550i | −0.258364 | − | 0.605772i | ||||
\(83\) | − | 14.9789i | − | 1.64415i | −0.569382 | − | 0.822073i | \(-0.692818\pi\) | ||
0.569382 | − | 0.822073i | \(-0.307182\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 12.8580i | − | 1.39465i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.45554 | 0.263262 | ||||||||
\(88\) | 1.60168 | − | 4.23764i | 0.170740 | − | 0.451734i | ||||
\(89\) | − | 1.73205i | − | 0.183597i | −0.995778 | − | 0.0917985i | \(-0.970738\pi\) | ||
0.995778 | − | 0.0917985i | \(-0.0292616\pi\) | |||||||
\(90\) | 11.5047 | − | 4.90680i | 1.21271 | − | 0.517223i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.38437 | + | 6.12307i | 0.665616 | + | 0.638375i | ||||
\(93\) | − | 0.0557662i | − | 0.00578268i | ||||||
\(94\) | 13.1598 | − | 5.61272i | 1.35733 | − | 0.578907i | ||||
\(95\) | − | 16.8545i | − | 1.72924i | ||||||
\(96\) | 2.45554 | − | 1.17081i | 0.250618 | − | 0.119496i | ||||
\(97\) | 2.87198i | 0.291606i | 0.989314 | + | 0.145803i | \(0.0465765\pi\) | ||||
−0.989314 | + | 0.145803i | \(0.953423\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.43462 | −0.445696 | ||||||||
\(100\) | 7.20336 | − | 7.51075i | 0.720336 | − | 0.751075i | ||||
\(101\) | 6.80620 | 0.677242 | 0.338621 | − | 0.940923i | \(-0.390040\pi\) | ||||
0.338621 | + | 0.940923i | \(0.390040\pi\) | |||||||
\(102\) | −2.51815 | + | 1.07400i | −0.249334 | + | 0.106342i | ||||
\(103\) | 14.0494 | 1.38433 | 0.692165 | − | 0.721739i | \(-0.256657\pi\) | ||||
0.692165 | + | 0.721739i | \(0.256657\pi\) | |||||||
\(104\) | 1.38831 | − | 3.67311i | 0.136135 | − | 0.360178i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.93043 | − | 9.21547i | −0.381757 | − | 0.895086i | ||||
\(107\) | −5.13915 | −0.496820 | −0.248410 | − | 0.968655i | \(-0.579908\pi\) | ||||
−0.248410 | + | 0.968655i | \(0.579908\pi\) | |||||||
\(108\) | −4.00438 | − | 3.84050i | −0.385322 | − | 0.369552i | ||||
\(109\) | − | 2.83112i | − | 0.271172i | −0.990766 | − | 0.135586i | \(-0.956708\pi\) | ||
0.990766 | − | 0.135586i | \(-0.0432917\pi\) | |||||||
\(110\) | −6.65535 | + | 2.83853i | −0.634563 | + | 0.270643i | ||||
\(111\) | 2.57151 | 0.244077 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.43695 | −0.135177 | −0.0675887 | − | 0.997713i | \(-0.521531\pi\) | ||||
−0.0675887 | + | 0.997713i | \(0.521531\pi\) | |||||||
\(114\) | −3.30084 | + | 1.40782i | −0.309152 | + | 0.131854i | ||||
\(115\) | − | 14.1283i | − | 1.31747i | ||||||
\(116\) | 7.37041 | + | 7.06876i | 0.684326 | + | 0.656318i | ||||
\(117\) | −3.84385 | −0.355364 | ||||||||
\(118\) | 2.81150 | + | 6.59198i | 0.258819 | + | 0.606841i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −4.06421 | − | 1.53613i | −0.371010 | − | 0.140229i | ||||
\(121\) | −8.43462 | −0.766784 | ||||||||
\(122\) | −10.9614 | + | 4.67508i | −0.992401 | + | 0.423262i | ||||
\(123\) | 2.02791 | 0.182850 | ||||||||
\(124\) | 0.160534 | − | 0.167384i | 0.0144164 | − | 0.0150316i | ||||
\(125\) | −0.649581 | −0.0581003 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.92077i | 0.436647i | 0.975876 | + | 0.218324i | \(0.0700589\pi\) | ||||
−0.975876 | + | 0.218324i | \(0.929941\pi\) | |||||||
\(128\) | 10.7408 | + | 3.55452i | 0.949364 | + | 0.314178i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.76873 | + | 2.46038i | −0.505951 | + | 0.215790i | ||||
\(131\) | 3.94500i | 0.344676i | 0.985038 | + | 0.172338i | \(0.0551322\pi\) | ||||
−0.985038 | + | 0.172338i | \(0.944868\pi\) | |||||||
\(132\) | 1.11181 | + | 1.06631i | 0.0967707 | + | 0.0928101i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 13.0556 | − | 5.56826i | 1.12783 | − | 0.481025i | ||||
\(135\) | 8.86151i | 0.762677i | ||||||||
\(136\) | −10.6500 | − | 4.02534i | −0.913234 | − | 0.345170i | ||||
\(137\) | −0.102845 | −0.00878661 | −0.00439331 | − | 0.999990i | \(-0.501398\pi\) | ||||
−0.00439331 | + | 0.999990i | \(0.501398\pi\) | |||||||
\(138\) | −2.76693 | + | 1.18010i | −0.235536 | + | 0.100457i | ||||
\(139\) | 14.9789i | 1.27049i | 0.772310 | + | 0.635246i | \(0.219101\pi\) | ||||
−0.772310 | + | 0.635246i | \(0.780899\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.86500i | 0.409707i | ||||||||
\(142\) | 2.93579 | + | 6.88340i | 0.246366 | + | 0.577642i | ||||
\(143\) | 2.22362 | 0.185949 | ||||||||
\(144\) | −0.462531 | − | 11.0653i | −0.0385443 | − | 0.922106i | ||||
\(145\) | − | 16.3104i | − | 1.35450i | ||||||
\(146\) | −5.96120 | − | 13.9769i | −0.493352 | − | 1.15674i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.71848 | + | 7.40258i | 0.634455 | + | 0.608489i | ||||
\(149\) | − | 11.3064i | − | 0.926257i | −0.886291 | − | 0.463129i | \(-0.846727\pi\) | ||
0.886291 | − | 0.463129i | \(-0.153273\pi\) | |||||||
\(150\) | 1.38831 | + | 3.25509i | 0.113355 | + | 0.265777i | ||||
\(151\) | 14.8206i | 1.20609i | 0.797708 | + | 0.603044i | \(0.206046\pi\) | ||||
−0.797708 | + | 0.603044i | \(0.793954\pi\) | |||||||
\(152\) | −13.9603 | − | 5.27649i | −1.13233 | − | 0.427980i | ||||
\(153\) | 11.1451i | 0.901028i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.370413 | −0.0297523 | ||||||||
\(156\) | 0.963697 | + | 0.924256i | 0.0771575 | + | 0.0739997i | ||||
\(157\) | 0.738725 | 0.0589567 | 0.0294783 | − | 0.999565i | \(-0.490615\pi\) | ||||
0.0294783 | + | 0.999565i | \(0.490615\pi\) | |||||||
\(158\) | 6.62100 | + | 15.5239i | 0.526738 | + | 1.23502i | ||||
\(159\) | 3.40682 | 0.270179 | ||||||||
\(160\) | −7.77685 | − | 16.3104i | −0.614814 | − | 1.28945i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.06957 | + | 3.86820i | −0.712573 | + | 0.303915i | ||||
\(163\) | −8.70452 | −0.681791 | −0.340895 | − | 0.940101i | \(-0.610730\pi\) | ||||
−0.340895 | + | 0.940101i | \(0.610730\pi\) | |||||||
\(164\) | 6.08684 | + | 5.83773i | 0.475303 | + | 0.455850i | ||||
\(165\) | − | 2.46038i | − | 0.191541i | ||||||
\(166\) | 8.31046 | + | 19.4851i | 0.645017 | + | 1.51234i | ||||
\(167\) | −1.38831 | −0.107430 | −0.0537152 | − | 0.998556i | \(-0.517106\pi\) | ||||
−0.0537152 | + | 0.998556i | \(0.517106\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0726 | −0.851739 | ||||||||
\(170\) | 7.13378 | + | 16.7262i | 0.547136 | + | 1.28284i | ||||
\(171\) | 14.6092i | 1.11719i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.970649 | −0.0737971 | −0.0368985 | − | 0.999319i | \(-0.511748\pi\) | ||||
−0.0368985 | + | 0.999319i | \(0.511748\pi\) | |||||||
\(174\) | −3.19427 | + | 1.36237i | −0.242157 | + | 0.103281i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.267569 | + | 6.40113i | 0.0201688 | + | 0.482503i | ||||
\(177\) | −2.43695 | −0.183173 | ||||||||
\(178\) | 0.960963 | + | 2.25312i | 0.0720272 | + | 0.168879i | ||||
\(179\) | −14.2699 | −1.06658 | −0.533291 | − | 0.845932i | \(-0.679045\pi\) | ||||
−0.533291 | + | 0.845932i | \(0.679045\pi\) | |||||||
\(180\) | −12.2435 | + | 12.7659i | −0.912574 | + | 0.951516i | ||||
\(181\) | −15.3218 | −1.13886 | −0.569429 | − | 0.822041i | \(-0.692836\pi\) | ||||
−0.569429 | + | 0.822041i | \(0.692836\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 4.05228i | − | 0.299553i | ||||||
\(184\) | −11.7022 | − | 4.42301i | −0.862697 | − | 0.326069i | ||||
\(185\) | − | 17.0806i | − | 1.25579i | ||||||
\(186\) | 0.0309397 | + | 0.0725428i | 0.00226861 | + | 0.00531910i | ||||
\(187\) | − | 6.44730i | − | 0.471473i | ||||||
\(188\) | −14.0049 | + | 14.6025i | −1.02141 | + | 1.06500i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.35110 | + | 21.9250i | 0.678400 | + | 1.59061i | ||||
\(191\) | − | 2.50067i | − | 0.180942i | −0.995899 | − | 0.0904709i | \(-0.971163\pi\) | ||
0.995899 | − | 0.0904709i | \(-0.0288372\pi\) | |||||||
\(192\) | −2.54469 | + | 2.88541i | −0.183647 | + | 0.208236i | ||||
\(193\) | −3.10051 | −0.223180 | −0.111590 | − | 0.993754i | \(-0.535594\pi\) | ||||
−0.111590 | + | 0.993754i | \(0.535594\pi\) | |||||||
\(194\) | −1.59341 | − | 3.73599i | −0.114400 | − | 0.268229i | ||||
\(195\) | − | 2.13261i | − | 0.152720i | ||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.6891i | 1.11780i | 0.829233 | + | 0.558902i | \(0.188777\pi\) | ||||
−0.829233 | + | 0.558902i | \(0.811223\pi\) | |||||||
\(198\) | 5.76873 | − | 2.46038i | 0.409966 | − | 0.174852i | ||||
\(199\) | 11.8258 | 0.838309 | 0.419154 | − | 0.907915i | \(-0.362327\pi\) | ||||
0.419154 | + | 0.907915i | \(0.362327\pi\) | |||||||
\(200\) | −5.20336 | + | 13.7668i | −0.367933 | + | 0.973459i | ||||
\(201\) | 4.82647i | 0.340433i | ||||||||
\(202\) | −8.85377 | + | 3.77616i | −0.622949 | + | 0.265690i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.67984 | − | 2.79420i | 0.187627 | − | 0.195633i | ||||
\(205\) | − | 13.4699i | − | 0.940778i | ||||||
\(206\) | −18.2760 | + | 7.79479i | −1.27335 | + | 0.543089i | ||||
\(207\) | 12.2461i | 0.851166i | ||||||||
\(208\) | 0.231924 | + | 5.54838i | 0.0160810 | + | 0.384711i | ||||
\(209\) | − | 8.45124i | − | 0.584585i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0726 | 0.693427 | 0.346713 | − | 0.937971i | \(-0.387298\pi\) | ||||
0.346713 | + | 0.937971i | \(0.387298\pi\) | |||||||
\(212\) | 10.2257 | + | 9.80720i | 0.702304 | + | 0.673561i | ||||
\(213\) | −2.54469 | −0.174359 | ||||||||
\(214\) | 6.68521 | − | 2.85126i | 0.456991 | − | 0.194908i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 7.33982 | + | 2.77419i | 0.499411 | + | 0.188760i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 1.57074 | + | 3.68283i | 0.106384 | + | 0.249433i | ||||
\(219\) | 5.16706 | 0.349157 | ||||||||
\(220\) | 7.08269 | − | 7.38494i | 0.477515 | − | 0.497892i | ||||
\(221\) | − | 5.58840i | − | 0.375917i | ||||||
\(222\) | −3.34512 | + | 1.42670i | −0.224510 | + | 0.0957540i | ||||
\(223\) | −24.3086 | −1.62783 | −0.813913 | − | 0.580987i | \(-0.802667\pi\) | ||||
−0.813913 | + | 0.580987i | \(0.802667\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.4067 | 0.960448 | ||||||||
\(226\) | 1.86925 | − | 0.797240i | 0.124341 | − | 0.0530316i | ||||
\(227\) | − | 14.3239i | − | 0.950710i | −0.879794 | − | 0.475355i | \(-0.842320\pi\) | ||
0.879794 | − | 0.475355i | \(-0.157680\pi\) | |||||||
\(228\) | 3.51279 | − | 3.66269i | 0.232640 | − | 0.242568i | ||||
\(229\) | 10.6500 | 0.703775 | 0.351887 | − | 0.936042i | \(-0.385540\pi\) | ||||
0.351887 | + | 0.936042i | \(0.385540\pi\) | |||||||
\(230\) | 7.83855 | + | 18.3786i | 0.516859 | + | 1.21185i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −13.5096 | − | 5.10613i | −0.886946 | − | 0.335234i | ||||
\(233\) | −0.637982 | −0.0417956 | −0.0208978 | − | 0.999782i | \(-0.506652\pi\) | ||||
−0.0208978 | + | 0.999782i | \(0.506652\pi\) | |||||||
\(234\) | 5.00023 | − | 2.13261i | 0.326875 | − | 0.139413i | ||||
\(235\) | 32.3146 | 2.10797 | ||||||||
\(236\) | −7.31462 | − | 7.01525i | −0.476141 | − | 0.456654i | ||||
\(237\) | −5.73896 | −0.372785 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 4.73540i | − | 0.306307i | −0.988202 | − | 0.153154i | \(-0.951057\pi\) | ||
0.988202 | − | 0.153154i | \(-0.0489430\pi\) | |||||||
\(240\) | 6.13915 | − | 0.256618i | 0.396280 | − | 0.0165646i | ||||
\(241\) | − | 11.7063i | − | 0.754071i | −0.926199 | − | 0.377036i | \(-0.876943\pi\) | ||
0.926199 | − | 0.377036i | \(-0.123057\pi\) | |||||||
\(242\) | 10.9721 | − | 4.67963i | 0.705313 | − | 0.300818i | ||||
\(243\) | − | 11.6755i | − | 0.748981i | ||||||
\(244\) | 11.6653 | − | 12.1631i | 0.746792 | − | 0.778661i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.63798 | + | 1.12511i | −0.168192 | + | 0.0717342i | ||||
\(247\) | − | 7.32538i | − | 0.466103i | ||||||
\(248\) | −0.115962 | + | 0.306806i | −0.00736359 | + | 0.0194822i | ||||
\(249\) | −7.20336 | −0.456494 | ||||||||
\(250\) | 0.845001 | − | 0.360395i | 0.0534425 | − | 0.0227934i | ||||
\(251\) | 11.5631i | 0.729858i | 0.931035 | + | 0.364929i | \(0.118907\pi\) | ||||
−0.931035 | + | 0.364929i | \(0.881093\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 7.08425i | − | 0.445383i | ||||||
\(254\) | −2.73010 | − | 6.40113i | −0.171302 | − | 0.401642i | ||||
\(255\) | −6.18343 | −0.387222 | ||||||||
\(256\) | −15.9442 | + | 1.33528i | −0.996512 | + | 0.0834547i | ||||
\(257\) | 23.5908i | 1.47155i | 0.677224 | + | 0.735777i | \(0.263183\pi\) | ||||
−0.677224 | + | 0.735777i | \(0.736817\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.13915 | − | 6.40113i | 0.380734 | − | 0.396981i | ||||
\(261\) | 14.1375i | 0.875091i | ||||||||
\(262\) | −2.18873 | − | 5.13182i | −0.135220 | − | 0.317045i | ||||
\(263\) | − | 10.6791i | − | 0.658499i | −0.944243 | − | 0.329249i | \(-0.893204\pi\) | ||
0.944243 | − | 0.329249i | \(-0.106796\pi\) | |||||||
\(264\) | −2.03789 | − | 0.770249i | −0.125423 | − | 0.0474055i | ||||
\(265\) | − | 22.6290i | − | 1.39009i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.832945 | −0.0509754 | ||||||||
\(268\) | −13.8939 | + | 14.4868i | −0.848707 | + | 0.884924i | ||||
\(269\) | 23.3380 | 1.42294 | 0.711471 | − | 0.702716i | \(-0.248029\pi\) | ||||
0.711471 | + | 0.702716i | \(0.248029\pi\) | |||||||
\(270\) | −4.91647 | − | 11.5274i | −0.299207 | − | 0.701535i | ||||
\(271\) | −13.6392 | −0.828523 | −0.414262 | − | 0.910158i | \(-0.635960\pi\) | ||||
−0.414262 | + | 0.910158i | \(0.635960\pi\) | |||||||
\(272\) | 16.0873 | − | 0.672454i | 0.975436 | − | 0.0407735i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.133784 | − | 0.0570595i | 0.00808221 | − | 0.00344709i | ||||
\(275\) | −8.33411 | −0.502566 | ||||||||
\(276\) | 2.94459 | − | 3.07025i | 0.177244 | − | 0.184807i | ||||
\(277\) | − | 0.457470i | − | 0.0274867i | −0.999906 | − | 0.0137433i | \(-0.995625\pi\) | ||
0.999906 | − | 0.0137433i | \(-0.00437478\pi\) | |||||||
\(278\) | −8.31046 | − | 19.4851i | −0.498429 | − | 1.16864i | ||||
\(279\) | 0.321068 | 0.0192218 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.43695 | 0.0857215 | 0.0428608 | − | 0.999081i | \(-0.486353\pi\) | ||||
0.0428608 | + | 0.999081i | \(0.486353\pi\) | |||||||
\(282\) | −2.69916 | − | 6.32858i | −0.160733 | − | 0.376862i | ||||
\(283\) | 31.2264i | 1.85622i | 0.372312 | + | 0.928108i | \(0.378565\pi\) | ||||
−0.372312 | + | 0.928108i | \(0.621435\pi\) | |||||||
\(284\) | −7.63798 | − | 7.32538i | −0.453231 | − | 0.434681i | ||||
\(285\) | −8.10536 | −0.480120 | ||||||||
\(286\) | −2.89257 | + | 1.23369i | −0.171041 | + | 0.0729497i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 6.74083 | + | 14.1375i | 0.397207 | + | 0.833062i | ||||
\(289\) | 0.796642 | 0.0468613 | ||||||||
\(290\) | 9.04919 | + | 21.2172i | 0.531387 | + | 1.24592i | ||||
\(291\) | 1.38114 | 0.0809639 | ||||||||
\(292\) | 15.5091 | + | 14.8744i | 0.907603 | + | 0.870457i | ||||
\(293\) | 31.3006 | 1.82860 | 0.914299 | − | 0.405040i | \(-0.132742\pi\) | ||||
0.914299 | + | 0.405040i | \(0.132742\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.1869i | 0.942437i | ||||||||
\(296\) | −14.1475 | − | 5.34727i | −0.822309 | − | 0.310804i | ||||
\(297\) | 4.44336i | 0.257830i | ||||||||
\(298\) | 6.27293 | + | 14.7078i | 0.363381 | + | 0.852001i | ||||
\(299\) | − | 6.14050i | − | 0.355114i | ||||||
\(300\) | −3.61193 | − | 3.46410i | −0.208535 | − | 0.200000i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −8.22268 | − | 19.2793i | −0.473162 | − | 1.10940i | ||||
\(303\) | − | 3.27311i | − | 0.188035i | ||||||
\(304\) | 21.0875 | − | 0.881465i | 1.20945 | − | 0.0505555i | ||||
\(305\) | −26.9163 | −1.54122 | ||||||||
\(306\) | −6.18343 | − | 14.4980i | −0.353483 | − | 0.828794i | ||||
\(307\) | 14.7215i | 0.840202i | 0.907477 | + | 0.420101i | \(0.138005\pi\) | ||||
−0.907477 | + | 0.420101i | \(0.861995\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 6.75638i | − | 0.384357i | ||||||
\(310\) | 0.481848 | − | 0.205510i | 0.0273672 | − | 0.0116722i | ||||
\(311\) | −15.5805 | −0.883490 | −0.441745 | − | 0.897141i | \(-0.645640\pi\) | ||||
−0.441745 | + | 0.897141i | \(0.645640\pi\) | |||||||
\(312\) | −1.76640 | − | 0.667638i | −0.100003 | − | 0.0377975i | ||||
\(313\) | − | 13.0862i | − | 0.739673i | −0.929097 | − | 0.369837i | \(-0.879414\pi\) | ||
0.929097 | − | 0.369837i | \(-0.120586\pi\) | |||||||
\(314\) | −0.960963 | + | 0.409854i | −0.0542303 | + | 0.0231294i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.2257 | − | 16.5207i | −0.969022 | − | 0.929363i | ||||
\(317\) | 23.5526i | 1.32284i | 0.750014 | + | 0.661422i | \(0.230047\pi\) | ||||
−0.750014 | + | 0.661422i | \(0.769953\pi\) | |||||||
\(318\) | −4.43173 | + | 1.89015i | −0.248519 | + | 0.105994i | ||||
\(319\) | − | 8.17839i | − | 0.457902i | ||||||
\(320\) | 19.1656 | + | 16.9025i | 1.07139 | + | 0.944878i | ||||
\(321\) | 2.47142i | 0.137941i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.2397 | −1.18181 | ||||||||
\(324\) | 9.65194 | − | 10.0638i | 0.536219 | − | 0.559101i | ||||
\(325\) | −7.22385 | −0.400707 | ||||||||
\(326\) | 11.3232 | − | 4.82937i | 0.627133 | − | 0.267474i | ||||
\(327\) | −1.36149 | −0.0752905 | ||||||||
\(328\) | −11.1568 | − | 4.21689i | −0.616034 | − | 0.232839i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.36505 | + | 3.20056i | 0.0751435 | + | 0.176185i | ||||
\(331\) | 33.0554 | 1.81689 | 0.908445 | − | 0.418004i | \(-0.137270\pi\) | ||||
0.908445 | + | 0.418004i | \(0.137270\pi\) | |||||||
\(332\) | −21.6212 | − | 20.7363i | −1.18662 | − | 1.13805i | ||||
\(333\) | 14.8052i | 0.811318i | ||||||||
\(334\) | 1.80596 | − | 0.770249i | 0.0988179 | − | 0.0421461i | ||||
\(335\) | 32.0587 | 1.75155 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.5096 | −0.844860 | −0.422430 | − | 0.906396i | \(-0.638823\pi\) | ||||
−0.422430 | + | 0.906396i | \(0.638823\pi\) | |||||||
\(338\) | 14.4037 | − | 6.14322i | 0.783457 | − | 0.334147i | ||||
\(339\) | 0.691033i | 0.0375318i | ||||||||
\(340\) | −18.5598 | − | 17.8002i | −1.00655 | − | 0.965352i | ||||
\(341\) | −0.185734 | −0.0100580 | ||||||||
\(342\) | −8.10536 | − | 19.0042i | −0.438288 | − | 1.02763i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.79431 | −0.365793 | ||||||||
\(346\) | 1.26266 | − | 0.538528i | 0.0678809 | − | 0.0289514i | ||||
\(347\) | 22.4988 | 1.20780 | 0.603900 | − | 0.797060i | \(-0.293612\pi\) | ||||
0.603900 | + | 0.797060i | \(0.293612\pi\) | |||||||
\(348\) | 3.39938 | − | 3.54444i | 0.182226 | − | 0.190002i | ||||
\(349\) | 28.4735 | 1.52415 | 0.762077 | − | 0.647486i | \(-0.224180\pi\) | ||||
0.762077 | + | 0.647486i | \(0.224180\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.85142i | 0.205574i | ||||||||
\(352\) | −3.89949 | − | 8.17839i | −0.207843 | − | 0.435910i | ||||
\(353\) | − | 9.57372i | − | 0.509558i | −0.966999 | − | 0.254779i | \(-0.917997\pi\) | ||
0.966999 | − | 0.254779i | \(-0.0820027\pi\) | |||||||
\(354\) | 3.17009 | − | 1.35205i | 0.168488 | − | 0.0718608i | ||||
\(355\) | 16.9025i | 0.897091i | ||||||||
\(356\) | −2.50012 | − | 2.39779i | −0.132506 | − | 0.127083i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.5629 | − | 7.91711i | 0.981077 | − | 0.418432i | ||||
\(359\) | − | 3.75538i | − | 0.198201i | −0.995077 | − | 0.0991006i | \(-0.968403\pi\) | ||
0.995077 | − | 0.0991006i | \(-0.0315966\pi\) | |||||||
\(360\) | 8.84408 | − | 23.3992i | 0.466124 | − | 1.23325i | ||||
\(361\) | −8.84134 | −0.465334 | ||||||||
\(362\) | 19.9312 | − | 8.50070i | 1.04756 | − | 0.446787i | ||||
\(363\) | 4.05622i | 0.212896i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 34.3209i | − | 1.79644i | ||||||
\(366\) | 2.24825 | + | 5.27136i | 0.117518 | + | 0.275538i | ||||
\(367\) | −16.8260 | −0.878312 | −0.439156 | − | 0.898411i | \(-0.644722\pi\) | ||||
−0.439156 | + | 0.898411i | \(0.644722\pi\) | |||||||
\(368\) | 17.6766 | − | 0.738887i | 0.921457 | − | 0.0385172i | ||||
\(369\) | 11.6755i | 0.607800i | ||||||||
\(370\) | 9.47653 | + | 22.2191i | 0.492661 | + | 1.15512i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −0.0804953 | − | 0.0772008i | −0.00417349 | − | 0.00400268i | ||||
\(373\) | − | 12.8580i | − | 0.665763i | −0.942969 | − | 0.332882i | \(-0.891979\pi\) | ||
0.942969 | − | 0.332882i | \(-0.108021\pi\) | |||||||
\(374\) | 3.57704 | + | 8.38691i | 0.184964 | + | 0.433677i | ||||
\(375\) | 0.312384i | 0.0161314i | ||||||||
\(376\) | 10.1164 | − | 26.7656i | 0.521715 | − | 1.38033i | ||||
\(377\) | − | 7.08888i | − | 0.365096i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.5822 | 1.31407 | 0.657034 | − | 0.753861i | \(-0.271811\pi\) | ||||
0.657034 | + | 0.753861i | \(0.271811\pi\) | |||||||
\(380\) | −24.3286 | − | 23.3329i | −1.24803 | − | 1.19695i | ||||
\(381\) | 2.36640 | 0.121234 | ||||||||
\(382\) | 1.38740 | + | 3.25296i | 0.0709855 | + | 0.166436i | ||||
\(383\) | 26.9693 | 1.37807 | 0.689033 | − | 0.724730i | \(-0.258036\pi\) | ||||
0.689033 | + | 0.724730i | \(0.258036\pi\) | |||||||
\(384\) | 1.70937 | − | 5.16527i | 0.0872311 | − | 0.263589i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.03327 | − | 1.72020i | 0.205288 | − | 0.0875560i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.14555 | + | 3.97588i | 0.210458 | + | 0.201845i | ||||
\(389\) | − | 31.9902i | − | 1.62197i | −0.585070 | − | 0.810983i | \(-0.698933\pi\) | ||
0.585070 | − | 0.810983i | \(-0.301067\pi\) | |||||||
\(390\) | 1.18320 | + | 2.77419i | 0.0599137 | + | 0.140477i | ||||
\(391\) | −17.8041 | −0.900394 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.89716 | 0.0956988 | ||||||||
\(394\) | −8.70452 | − | 20.4091i | −0.438528 | − | 1.02819i | ||||
\(395\) | 38.1197i | 1.91801i | ||||||||
\(396\) | −6.13915 | + | 6.40113i | −0.308504 | + | 0.321669i | ||||
\(397\) | −17.0386 | −0.855142 | −0.427571 | − | 0.903982i | \(-0.640631\pi\) | ||||
−0.427571 | + | 0.903982i | \(0.640631\pi\) | |||||||
\(398\) | −15.3835 | + | 6.56110i | −0.771104 | + | 0.328878i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.869248 | − | 20.7953i | −0.0434624 | − | 1.03976i | ||||
\(401\) | −5.89716 | −0.294490 | −0.147245 | − | 0.989100i | \(-0.547041\pi\) | ||||
−0.147245 | + | 0.989100i | \(0.547041\pi\) | |||||||
\(402\) | −2.67778 | − | 6.27846i | −0.133556 | − | 0.313141i | ||||
\(403\) | −0.160991 | −0.00801951 | ||||||||
\(404\) | 9.42228 | − | 9.82436i | 0.468776 | − | 0.488780i | ||||
\(405\) | −22.2707 | −1.10664 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 8.56461i | − | 0.424532i | ||||||
\(408\) | −1.93579 | + | 5.12162i | −0.0958359 | + | 0.253558i | ||||
\(409\) | − | 0.239890i | − | 0.0118618i | −0.999982 | − | 0.00593090i | \(-0.998112\pi\) | ||
0.999982 | − | 0.00593090i | \(-0.00188787\pi\) | |||||||
\(410\) | 7.47326 | + | 17.5222i | 0.369078 | + | 0.865358i | ||||
\(411\) | 0.0494581i | 0.00243959i | ||||||||
\(412\) | 19.4496 | − | 20.2795i | 0.958211 | − | 0.999101i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −6.79431 | − | 15.9303i | −0.333922 | − | 0.782930i | ||||
\(415\) | 47.8466i | 2.34870i | ||||||||
\(416\) | −3.38000 | − | 7.08888i | −0.165718 | − | 0.347561i | ||||
\(417\) | 7.20336 | 0.352750 | ||||||||
\(418\) | 4.68885 | + | 10.9937i | 0.229339 | + | 0.537720i | ||||
\(419\) | − | 29.4140i | − | 1.43697i | −0.695544 | − | 0.718484i | \(-0.744837\pi\) | ||
0.695544 | − | 0.718484i | \(-0.255163\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 32.1265i | 1.56575i | 0.622180 | + | 0.782874i | \(0.286247\pi\) | ||||
−0.622180 | + | 0.782874i | \(0.713753\pi\) | |||||||
\(422\) | −13.1028 | + | 5.58840i | −0.637836 | + | 0.272039i | ||||
\(423\) | −28.0097 | −1.36188 | ||||||||
\(424\) | −18.7432 | − | 7.08425i | −0.910248 | − | 0.344041i | ||||
\(425\) | 20.9453i | 1.01600i | ||||||||
\(426\) | 3.31023 | − | 1.41182i | 0.160381 | − | 0.0684031i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −7.11447 | + | 7.41807i | −0.343891 | + | 0.358566i | ||||
\(429\) | − | 1.06934i | − | 0.0516283i | ||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 37.8352i | 1.82246i | 0.411902 | + | 0.911228i | \(0.364865\pi\) | ||||
−0.411902 | + | 0.911228i | \(0.635135\pi\) | |||||||
\(432\) | −11.0871 | + | 0.463443i | −0.533427 | + | 0.0222974i | ||||
\(433\) | − | 25.4835i | − | 1.22466i | −0.790602 | − | 0.612330i | \(-0.790232\pi\) | ||
0.790602 | − | 0.612330i | \(-0.209768\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.84367 | −0.376075 | ||||||||
\(436\) | −4.08656 | − | 3.91931i | −0.195711 | − | 0.187701i | ||||
\(437\) | −23.3380 | −1.11641 | ||||||||
\(438\) | −6.72151 | + | 2.86674i | −0.321166 | + | 0.136978i | ||||
\(439\) | −23.9607 | −1.14358 | −0.571792 | − | 0.820399i | \(-0.693752\pi\) | ||||
−0.571792 | + | 0.820399i | \(0.693752\pi\) | |||||||
\(440\) | −5.11619 | + | 13.5362i | −0.243905 | + | 0.645312i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.10051 | + | 7.26962i | 0.147476 | + | 0.345780i | ||||
\(443\) | 10.2699 | 0.487938 | 0.243969 | − | 0.969783i | \(-0.421551\pi\) | ||||
0.243969 | + | 0.969783i | \(0.421551\pi\) | |||||||
\(444\) | 3.55991 | − | 3.71182i | 0.168946 | − | 0.176155i | ||||
\(445\) | 5.53264i | 0.262272i | ||||||||
\(446\) | 31.6216 | − | 13.4867i | 1.49733 | − | 0.638615i | ||||
\(447\) | −5.43726 | −0.257174 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.5096 | 0.543170 | 0.271585 | − | 0.962414i | \(-0.412452\pi\) | ||||
0.271585 | + | 0.962414i | \(0.412452\pi\) | |||||||
\(450\) | −18.7408 | + | 7.99302i | −0.883451 | + | 0.376795i | ||||
\(451\) | − | 6.75411i | − | 0.318039i | ||||||
\(452\) | −1.98927 | + | 2.07416i | −0.0935675 | + | 0.0975604i | ||||
\(453\) | 7.12726 | 0.334868 | ||||||||
\(454\) | 7.94707 | + | 18.6331i | 0.372974 | + | 0.874494i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.53747 | + | 6.71351i | −0.118828 | + | 0.314389i | ||||
\(457\) | 30.6101 | 1.43188 | 0.715939 | − | 0.698162i | \(-0.245999\pi\) | ||||
0.715939 | + | 0.698162i | \(0.245999\pi\) | |||||||
\(458\) | −13.8540 | + | 5.90877i | −0.647355 | + | 0.276099i | ||||
\(459\) | 11.1671 | 0.521233 | ||||||||
\(460\) | −20.3934 | − | 19.5587i | −0.950847 | − | 0.911931i | ||||
\(461\) | −17.3671 | −0.808866 | −0.404433 | − | 0.914568i | \(-0.632531\pi\) | ||||
−0.404433 | + | 0.914568i | \(0.632531\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 21.7288i | − | 1.00983i | −0.863171 | − | 0.504913i | \(-0.831525\pi\) | ||
0.863171 | − | 0.504913i | \(-0.168475\pi\) | |||||||
\(464\) | 20.4067 | − | 0.853006i | 0.947358 | − | 0.0395998i | ||||
\(465\) | 0.178132i | 0.00826068i | ||||||||
\(466\) | 0.829913 | − | 0.353960i | 0.0384450 | − | 0.0163969i | ||||
\(467\) | 0.676491i | 0.0313043i | 0.999877 | + | 0.0156521i | \(0.00498243\pi\) | ||||
−0.999877 | + | 0.0156521i | \(0.995018\pi\) | |||||||
\(468\) | −5.32130 | + | 5.54838i | −0.245977 | + | 0.256474i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −42.0361 | + | 17.9285i | −1.93898 | + | 0.826981i | ||||
\(471\) | − | 0.355254i | − | 0.0163692i | ||||||
\(472\) | 13.4073 | + | 5.06748i | 0.617120 | + | 0.233250i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 7.46546 | − | 3.18404i | 0.342900 | − | 0.146248i | ||||
\(475\) | 27.4555i | 1.25974i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 19.6144i | 0.898082i | ||||||||
\(478\) | 2.62726 | + | 6.15999i | 0.120168 | + | 0.281751i | ||||
\(479\) | 28.7678 | 1.31443 | 0.657217 | − | 0.753701i | \(-0.271733\pi\) | ||||
0.657217 | + | 0.753701i | \(0.271733\pi\) | |||||||
\(480\) | −7.84367 | + | 3.73989i | −0.358013 | + | 0.170702i | ||||
\(481\) | − | 7.42365i | − | 0.338489i | ||||||
\(482\) | 6.49482 | + | 15.2281i | 0.295831 | + | 0.693619i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.6766 | + | 12.1749i | −0.530755 | + | 0.553404i | ||||
\(485\) | − | 9.17389i | − | 0.416565i | ||||||
\(486\) | 6.47768 | + | 15.1879i | 0.293834 | + | 0.688937i | ||||
\(487\) | 1.83303i | 0.0830624i | 0.999137 | + | 0.0415312i | \(0.0132236\pi\) | ||||
−0.999137 | + | 0.0415312i | \(0.986776\pi\) | |||||||
\(488\) | −8.42643 | + | 22.2942i | −0.381446 | + | 1.00921i | ||||
\(489\) | 4.18601i | 0.189298i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.4370 | 0.606401 | 0.303201 | − | 0.952927i | \(-0.401945\pi\) | ||||
0.303201 | + | 0.952927i | \(0.401945\pi\) | |||||||
\(492\) | 2.80737 | − | 2.92717i | 0.126566 | − | 0.131967i | ||||
\(493\) | −20.5539 | −0.925702 | ||||||||
\(494\) | 4.06421 | + | 9.52915i | 0.182857 | + | 0.428737i | ||||
\(495\) | 14.1654 | 0.636687 | ||||||||
\(496\) | −0.0193720 | − | 0.463443i | −0.000869830 | − | 0.0208092i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.37041 | − | 3.99651i | 0.419898 | − | 0.179088i | ||||
\(499\) | −11.3681 | −0.508905 | −0.254453 | − | 0.967085i | \(-0.581895\pi\) | ||||
−0.254453 | + | 0.967085i | \(0.581895\pi\) | |||||||
\(500\) | −0.899259 | + | 0.937633i | −0.0402161 | + | 0.0419322i | ||||
\(501\) | 0.667638i | 0.0298279i | ||||||||
\(502\) | −6.41536 | − | 15.0418i | −0.286331 | − | 0.671347i | ||||
\(503\) | 13.2022 | 0.588656 | 0.294328 | − | 0.955704i | \(-0.404904\pi\) | ||||
0.294328 | + | 0.955704i | \(0.404904\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.7408 | −0.967454 | ||||||||
\(506\) | 3.93043 | + | 9.21547i | 0.174729 | + | 0.409678i | ||||
\(507\) | 5.32483i | 0.236484i | ||||||||
\(508\) | 7.10284 | + | 6.81215i | 0.315138 | + | 0.302240i | ||||
\(509\) | −26.4357 | −1.17174 | −0.585870 | − | 0.810405i | \(-0.699247\pi\) | ||||
−0.585870 | + | 0.810405i | \(0.699247\pi\) | |||||||
\(510\) | 8.04365 | − | 3.43064i | 0.356179 | − | 0.151911i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 20.0000 | − | 10.5830i | 0.883883 | − | 0.467707i | ||||
\(513\) | 14.6380 | 0.646283 | ||||||||
\(514\) | −13.0885 | − | 30.6878i | −0.577307 | − | 1.35358i | ||||
\(515\) | −44.8776 | −1.97755 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.2033 | 0.712619 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.466786i | 0.0204896i | ||||||||
\(520\) | −4.43462 | + | 11.7329i | −0.194471 | + | 0.514522i | ||||
\(521\) | − | 12.0277i | − | 0.526942i | −0.964667 | − | 0.263471i | \(-0.915133\pi\) | ||
0.964667 | − | 0.263471i | \(-0.0848674\pi\) | |||||||
\(522\) | −7.84367 | − | 18.3907i | −0.343308 | − | 0.804937i | ||||
\(523\) | − | 2.80911i | − | 0.122834i | −0.998112 | − | 0.0614168i | \(-0.980438\pi\) | ||
0.998112 | − | 0.0614168i | \(-0.0195619\pi\) | |||||||
\(524\) | 5.69439 | + | 5.46133i | 0.248760 | + | 0.238579i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.92487 | + | 13.8917i | 0.258337 | + | 0.605708i | ||||
\(527\) | 0.466786i | 0.0203335i | ||||||||
\(528\) | 3.07831 | − | 0.128674i | 0.133966 | − | 0.00559982i | ||||
\(529\) | 3.43695 | 0.149433 | ||||||||
\(530\) | 12.5548 | + | 29.4367i | 0.545347 | + | 1.27865i | ||||
\(531\) | − | 14.0305i | − | 0.608872i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 5.85434i | − | 0.253580i | ||||||
\(534\) | 1.08353 | − | 0.462128i | 0.0468888 | − | 0.0199982i | ||||
\(535\) | 16.4158 | 0.709718 | ||||||||
\(536\) | 10.0363 | − | 26.5536i | 0.433502 | − | 1.14694i | ||||
\(537\) | 6.86241i | 0.296135i | ||||||||
\(538\) | −30.3590 | + | 12.9482i | −1.30887 | + | 0.558236i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.7911 | + | 12.2676i | 0.550441 | + | 0.527913i | ||||
\(541\) | 1.94715i | 0.0837144i | 0.999124 | + | 0.0418572i | \(0.0133275\pi\) | ||||
−0.999124 | + | 0.0418572i | \(0.986673\pi\) | |||||||
\(542\) | 17.7424 | − | 7.56720i | 0.762102 | − | 0.325039i | ||||
\(543\) | 7.36825i | 0.316202i | ||||||||
\(544\) | −20.5539 | + | 9.80019i | −0.881242 | + | 0.420180i | ||||
\(545\) | 9.04336i | 0.387375i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.4561 | 1.21669 | 0.608347 | − | 0.793671i | \(-0.291833\pi\) | ||||
0.608347 | + | 0.793671i | \(0.291833\pi\) | |||||||
\(548\) | −0.142375 | + | 0.148450i | −0.00608195 | + | 0.00634149i | ||||
\(549\) | 23.3305 | 0.995723 | ||||||||
\(550\) | 10.8413 | − | 4.62386i | 0.462276 | − | 0.197162i | ||||
\(551\) | −26.9425 | −1.14779 | ||||||||
\(552\) | −2.12703 | + | 5.62760i | −0.0905325 | + | 0.239526i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0.253810 | + | 0.595095i | 0.0107833 | + | 0.0252832i | ||||
\(555\) | −8.21408 | −0.348668 | ||||||||
\(556\) | 21.6212 | + | 20.7363i | 0.916942 | + | 0.879414i | ||||
\(557\) | − | 9.19869i | − | 0.389761i | −0.980827 | − | 0.194881i | \(-0.937568\pi\) | ||
0.980827 | − | 0.194881i | \(-0.0624319\pi\) | |||||||
\(558\) | −0.417657 | + | 0.178132i | −0.0176808 | + | 0.00754094i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.10051 | −0.130904 | ||||||||
\(562\) | −1.86925 | + | 0.797240i | −0.0788495 | + | 0.0336295i | ||||
\(563\) | − | 27.1970i | − | 1.14622i | −0.819480 | − | 0.573108i | \(-0.805737\pi\) | ||
0.819480 | − | 0.573108i | \(-0.194263\pi\) | |||||||
\(564\) | 7.02235 | + | 6.73495i | 0.295694 | + | 0.283592i | ||||
\(565\) | 4.59002 | 0.193104 | ||||||||
\(566\) | −17.3248 | − | 40.6205i | −0.728214 | − | 1.70741i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.0000 | + | 5.29150i | 0.587427 | + | 0.222027i | ||||
\(569\) | −23.5398 | −0.986840 | −0.493420 | − | 0.869791i | \(-0.664253\pi\) | ||||
−0.493420 | + | 0.869791i | \(0.664253\pi\) | |||||||
\(570\) | 10.5438 | − | 4.49695i | 0.441630 | − | 0.188357i | ||||
\(571\) | 30.3425 | 1.26979 | 0.634897 | − | 0.772597i | \(-0.281042\pi\) | ||||
0.634897 | + | 0.772597i | \(0.281042\pi\) | |||||||
\(572\) | 3.07831 | − | 3.20967i | 0.128711 | − | 0.134203i | ||||
\(573\) | −1.20257 | −0.0502382 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.0145i | 0.959772i | ||||||||
\(576\) | −16.6124 | − | 14.6508i | −0.692184 | − | 0.610449i | ||||
\(577\) | 28.6088i | 1.19100i | 0.803355 | + | 0.595500i | \(0.203046\pi\) | ||||
−0.803355 | + | 0.595500i | \(0.796954\pi\) | |||||||
\(578\) | −1.03630 | + | 0.441986i | −0.0431045 | + | 0.0183842i | ||||
\(579\) | 1.49104i | 0.0619655i | ||||||||
\(580\) | −23.5431 | − | 22.5795i | −0.977574 | − | 0.937564i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.79664 | + | 0.766273i | −0.0744732 | + | 0.0317630i | ||||
\(583\) | − | 11.3467i | − | 0.469932i | ||||||
\(584\) | −28.4274 | − | 10.7445i | −1.17633 | − | 0.444612i | ||||
\(585\) | 12.2783 | 0.507645 | ||||||||
\(586\) | −40.7170 | + | 17.3659i | −1.68200 | + | 0.717380i | ||||
\(587\) | 15.2362i | 0.628867i | 0.949280 | + | 0.314433i | \(0.101814\pi\) | ||||
−0.949280 | + | 0.314433i | \(0.898186\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.611872i | 0.0252117i | ||||||||
\(590\) | −8.98068 | − | 21.0565i | −0.369729 | − | 0.866884i | ||||
\(591\) | 7.54492 | 0.310357 | ||||||||
\(592\) | 21.3704 | − | 0.893289i | 0.878319 | − | 0.0367139i | ||||
\(593\) | − | 21.1234i | − | 0.867435i | −0.901049 | − | 0.433717i | \(-0.857202\pi\) | ||
0.901049 | − | 0.433717i | \(-0.142798\pi\) | |||||||
\(594\) | −2.46523 | − | 5.78010i | −0.101150 | − | 0.237160i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −16.3202 | − | 15.6522i | −0.668500 | − | 0.641140i | ||||
\(597\) | − | 5.68704i | − | 0.232755i | ||||||
\(598\) | 3.40682 | + | 7.98780i | 0.139315 | + | 0.326645i | ||||
\(599\) | − | 33.6936i | − | 1.37668i | −0.725387 | − | 0.688341i | \(-0.758339\pi\) | ||
0.725387 | − | 0.688341i | \(-0.241661\pi\) | |||||||
\(600\) | 6.62046 | + | 2.50230i | 0.270279 | + | 0.102156i | ||||
\(601\) | 24.3960i | 0.995132i | 0.867426 | + | 0.497566i | \(0.165773\pi\) | ||||
−0.867426 | + | 0.497566i | \(0.834227\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −27.7879 | −1.13161 | ||||||||
\(604\) | 21.3928 | + | 20.5172i | 0.870459 | + | 0.834834i | ||||
\(605\) | 26.9425 | 1.09537 | ||||||||
\(606\) | 1.81596 | + | 4.25779i | 0.0737683 | + | 0.172961i | ||||
\(607\) | 8.17513 | 0.331818 | 0.165909 | − | 0.986141i | \(-0.446944\pi\) | ||||
0.165909 | + | 0.986141i | \(0.446944\pi\) | |||||||
\(608\) | −26.9425 | + | 12.8463i | −1.09266 | + | 0.520985i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 35.0138 | − | 14.9335i | 1.41767 | − | 0.604639i | ||||
\(611\) | 14.0447 | 0.568188 | ||||||||
\(612\) | 16.0873 | + | 15.4289i | 0.650291 | + | 0.623676i | ||||
\(613\) | 16.9996i | 0.686608i | 0.939224 | + | 0.343304i | \(0.111546\pi\) | ||||
−0.939224 | + | 0.343304i | \(0.888454\pi\) | |||||||
\(614\) | −8.16768 | − | 19.1504i | −0.329621 | − | 0.772845i | ||||
\(615\) | −6.47768 | −0.261205 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.6548 | 1.59644 | 0.798221 | − | 0.602365i | \(-0.205775\pi\) | ||||
0.798221 | + | 0.602365i | \(0.205775\pi\) | |||||||
\(618\) | 3.74852 | + | 8.78897i | 0.150788 | + | 0.353544i | ||||
\(619\) | − | 14.4013i | − | 0.578837i | −0.957203 | − | 0.289419i | \(-0.906538\pi\) | ||
0.957203 | − | 0.289419i | \(-0.0934620\pi\) | |||||||
\(620\) | −0.512788 | + | 0.534671i | −0.0205941 | + | 0.0214729i | ||||
\(621\) | 12.2703 | 0.492389 | ||||||||
\(622\) | 20.2677 | − | 8.64425i | 0.812662 | − | 0.346603i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.66822 | − | 0.111532i | 0.106814 | − | 0.00446487i | ||||
\(625\) | −23.9419 | −0.957674 | ||||||||
\(626\) | 7.26036 | + | 17.0230i | 0.290182 | + | 0.680376i | ||||
\(627\) | −4.06421 | −0.162309 | ||||||||
\(628\) | 1.02267 | − | 1.06631i | 0.0408088 | − | 0.0425503i | ||||
\(629\) | −21.5246 | −0.858241 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 36.6698i | 1.45980i | 0.683553 | + | 0.729900i | \(0.260434\pi\) | ||||
−0.683553 | + | 0.729900i | \(0.739566\pi\) | |||||||
\(632\) | 31.5738 | + | 11.9338i | 1.25594 | + | 0.474700i | ||||
\(633\) | − | 4.84393i | − | 0.192529i | ||||||
\(634\) | −13.0672 | − | 30.6381i | −0.518967 | − | 1.21679i | ||||
\(635\) | − | 15.7183i | − | 0.623760i | ||||||
\(636\) | 4.71629 | − | 4.91755i | 0.187013 | − | 0.194994i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 4.53747 | + | 10.6388i | 0.179640 | + | 0.421193i | ||||
\(639\) | − | 14.6508i | − | 0.579575i | ||||||
\(640\) | −34.3091 | − | 11.3541i | −1.35619 | − | 0.448810i | ||||
\(641\) | 18.2760 | 0.721857 | 0.360929 | − | 0.932593i | \(-0.382460\pi\) | ||||
0.360929 | + | 0.932593i | \(0.382460\pi\) | |||||||
\(642\) | −1.37117 | − | 3.21492i | −0.0541159 | − | 0.126883i | ||||
\(643\) | − | 13.6340i | − | 0.537671i | −0.963186 | − | 0.268836i | \(-0.913361\pi\) | ||
0.963186 | − | 0.268836i | \(-0.0866389\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 27.6294 | − | 11.7840i | 1.08706 | − | 0.463636i | ||||
\(647\) | 17.4831 | 0.687330 | 0.343665 | − | 0.939092i | \(-0.388332\pi\) | ||||
0.343665 | + | 0.939092i | \(0.388332\pi\) | |||||||
\(648\) | −6.97209 | + | 18.4464i | −0.273890 | + | 0.724644i | ||||
\(649\) | 8.11647i | 0.318599i | ||||||||
\(650\) | 9.39708 | − | 4.00788i | 0.368584 | − | 0.157202i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.0503 | + | 12.5645i | −0.471924 | + | 0.492063i | ||||
\(653\) | 9.70520i | 0.379794i | 0.981804 | + | 0.189897i | \(0.0608154\pi\) | ||||
−0.981804 | + | 0.189897i | \(0.939185\pi\) | |||||||
\(654\) | 1.77108 | − | 0.755370i | 0.0692546 | − | 0.0295373i | ||||
\(655\) | − | 12.6014i | − | 0.492378i | ||||||
\(656\) | 16.8529 | − | 0.704454i | 0.657993 | − | 0.0275043i | ||||
\(657\) | 29.7488i | 1.16061i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −28.9465 | −1.12760 | −0.563798 | − | 0.825913i | \(-0.690660\pi\) | ||||
−0.563798 | + | 0.825913i | \(0.690660\pi\) | |||||||
\(660\) | −3.55142 | − | 3.40607i | −0.138239 | − | 0.132581i | ||||
\(661\) | 12.8737 | 0.500728 | 0.250364 | − | 0.968152i | \(-0.419450\pi\) | ||||
0.250364 | + | 0.968152i | \(0.419450\pi\) | |||||||
\(662\) | −42.9998 | + | 18.3395i | −1.67123 | + | 0.712787i | ||||
\(663\) | −2.68747 | −0.104373 | ||||||||
\(664\) | 39.6304 | + | 14.9789i | 1.53796 | + | 0.581293i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.21408 | − | 19.2591i | −0.318289 | − | 0.746277i | ||||
\(667\) | −22.5845 | −0.874475 | ||||||||
\(668\) | −1.92193 | + | 2.00394i | −0.0743615 | + | 0.0775348i | ||||
\(669\) | 11.6900i | 0.451963i | ||||||||
\(670\) | −41.7032 | + | 17.7865i | −1.61113 | + | 0.687154i | ||||
\(671\) | −13.4964 | −0.521024 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −23.6548 | −0.911825 | −0.455912 | − | 0.890025i | \(-0.650687\pi\) | ||||
−0.455912 | + | 0.890025i | \(0.650687\pi\) | |||||||
\(674\) | 20.1755 | − | 8.60489i | 0.777129 | − | 0.331448i | ||||
\(675\) | − | 14.4351i | − | 0.555607i | ||||||
\(676\) | −15.3286 | + | 15.9827i | −0.589560 | + | 0.614718i | ||||
\(677\) | 3.60448 | 0.138531 | 0.0692657 | − | 0.997598i | \(-0.477934\pi\) | ||||
0.0692657 | + | 0.997598i | \(0.477934\pi\) | |||||||
\(678\) | −0.383393 | − | 0.898923i | −0.0147241 | − | 0.0345229i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 34.0191 | + | 12.8580i | 1.30457 | + | 0.493083i | ||||
\(681\) | −6.88837 | −0.263963 | ||||||||
\(682\) | 0.241610 | − | 0.103047i | 0.00925171 | − | 0.00394588i | ||||
\(683\) | −7.61847 | −0.291513 | −0.145756 | − | 0.989321i | \(-0.546562\pi\) | ||||
−0.145756 | + | 0.989321i | \(0.546562\pi\) | |||||||
\(684\) | 21.0875 | + | 20.2245i | 0.806302 | + | 0.773303i | ||||
\(685\) | 0.328514 | 0.0125519 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 5.12162i | − | 0.195402i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 9.83510i | − | 0.374688i | ||||||
\(690\) | 8.83831 | − | 3.76957i | 0.336469 | − | 0.143505i | ||||
\(691\) | 51.9277i | 1.97542i | 0.156285 | + | 0.987712i | \(0.450048\pi\) | ||||
−0.156285 | + | 0.987712i | \(0.549952\pi\) | |||||||
\(692\) | −1.34373 | + | 1.40108i | −0.0510811 | + | 0.0532609i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.2674 | + | 12.4826i | −1.11097 | + | 0.473834i | ||||
\(695\) | − | 47.8466i | − | 1.81492i | ||||||
\(696\) | −2.45554 | + | 6.49676i | −0.0930772 | + | 0.246259i | ||||
\(697\) | −16.9744 | −0.642952 | ||||||||
\(698\) | −37.0395 | + | 15.7975i | −1.40197 | + | 0.597943i | ||||
\(699\) | 0.306806i | 0.0116045i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 0.741474i | − | 0.0280051i | −0.999902 | − | 0.0140025i | \(-0.995543\pi\) | ||
0.999902 | − | 0.0140025i | \(-0.00445729\pi\) | |||||||
\(702\) | −2.13682 | − | 5.01009i | −0.0806489 | − | 0.189093i | ||||
\(703\) | −28.2148 | −1.06414 | ||||||||
\(704\) | 9.61007 | + | 8.47529i | 0.362193 | + | 0.319424i | ||||
\(705\) | − | 15.5401i | − | 0.585275i | ||||||
\(706\) | 5.31161 | + | 12.4539i | 0.199905 | + | 0.468708i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −3.37364 | + | 3.51761i | −0.126789 | + | 0.132200i | ||||
\(709\) | 41.1640i | 1.54595i | 0.634438 | + | 0.772974i | \(0.281232\pi\) | ||||
−0.634438 | + | 0.772974i | \(0.718768\pi\) | |||||||
\(710\) | −9.37770 | − | 21.9874i | −0.351939 | − | 0.825173i | ||||
\(711\) | − | 33.0414i | − | 1.23915i | ||||||
\(712\) | 4.58258 | + | 1.73205i | 0.171739 | + | 0.0649113i | ||||
\(713\) | 0.512901i | 0.0192083i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.10284 | −0.265631 | ||||||||
\(716\) | −19.7548 | + | 20.5978i | −0.738271 | + | 0.769775i | ||||
\(717\) | −2.27726 | −0.0850457 | ||||||||
\(718\) | 2.08353 | + | 4.88514i | 0.0777566 | + | 0.182312i | ||||
\(719\) | 14.0494 | 0.523955 | 0.261978 | − | 0.965074i | \(-0.415625\pi\) | ||||
0.261978 | + | 0.965074i | \(0.415625\pi\) | |||||||
\(720\) | 1.47745 | + | 35.3455i | 0.0550613 | + | 1.31725i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 11.5012 | − | 4.90528i | 0.428029 | − | 0.182556i | ||||
\(723\) | −5.62959 | −0.209367 | ||||||||
\(724\) | −21.2110 | + | 22.1161i | −0.788299 | + | 0.821938i | ||||
\(725\) | 26.5690i | 0.986750i | ||||||||
\(726\) | −2.25044 | − | 5.27649i | −0.0835216 | − | 0.195829i | ||||
\(727\) | −13.2022 | −0.489642 | −0.244821 | − | 0.969568i | \(-0.578729\pi\) | ||||
−0.244821 | + | 0.969568i | \(0.578729\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 15.3015 | 0.566724 | ||||||||
\(730\) | 19.0417 | + | 44.6460i | 0.704764 | + | 1.65242i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −5.84923 | − | 5.60984i | −0.216194 | − | 0.207346i | ||||
\(733\) | 49.9594 | 1.84529 | 0.922646 | − | 0.385648i | \(-0.126022\pi\) | ||||
0.922646 | + | 0.385648i | \(0.126022\pi\) | |||||||
\(734\) | 21.8880 | − | 9.33529i | 0.807900 | − | 0.344572i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −22.5845 | + | 10.7684i | −0.832476 | + | 0.396928i | ||||
\(737\) | 16.0749 | 0.592128 | ||||||||
\(738\) | −6.47768 | − | 15.1879i | −0.238447 | − | 0.559074i | ||||
\(739\) | −36.5435 | −1.34428 | −0.672138 | − | 0.740426i | \(-0.734624\pi\) | ||||
−0.672138 | + | 0.740426i | \(0.734624\pi\) | |||||||
\(740\) | −24.6549 | − | 23.6458i | −0.906332 | − | 0.869239i | ||||
\(741\) | −3.52278 | −0.129413 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 15.1330i | − | 0.555177i | −0.960700 | − | 0.277589i | \(-0.910465\pi\) | ||
0.960700 | − | 0.277589i | \(-0.0895352\pi\) | |||||||
\(744\) | 0.147543 | + | 0.0557662i | 0.00540920 | + | 0.00204449i | ||||
\(745\) | 36.1157i | 1.32318i | ||||||||
\(746\) | 7.13378 | + | 16.7262i | 0.261186 | + | 0.612390i | ||||
\(747\) | − | 41.4725i | − | 1.51740i | ||||||
\(748\) | −9.30631 | − | 8.92543i | −0.340273 | − | 0.326346i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −0.173314 | − | 0.406362i | −0.00632855 | − | 0.0148382i | ||||
\(751\) | 13.8561i | 0.505617i | 0.967516 | + | 0.252808i | \(0.0813542\pi\) | ||||
−0.967516 | + | 0.252808i | \(0.918646\pi\) | |||||||
\(752\) | 1.69000 | + | 40.4304i | 0.0616280 | + | 1.47435i | ||||
\(753\) | 5.56071 | 0.202644 | ||||||||
\(754\) | 3.93299 | + | 9.22149i | 0.143231 | + | 0.335827i | ||||
\(755\) | − | 47.3412i | − | 1.72292i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 46.6967i | − | 1.69722i | −0.529019 | − | 0.848610i | \(-0.677440\pi\) | ||
0.529019 | − | 0.848610i | \(-0.322560\pi\) | |||||||
\(758\) | −33.2783 | + | 14.1933i | −1.20872 | + | 0.515524i | ||||
\(759\) | −3.40682 | −0.123660 | ||||||||
\(760\) | 44.5929 | + | 16.8545i | 1.61755 | + | 0.611378i | ||||
\(761\) | − | 47.1001i | − | 1.70738i | −0.520783 | − | 0.853689i | \(-0.674360\pi\) | ||
0.520783 | − | 0.853689i | \(-0.325640\pi\) | |||||||
\(762\) | −3.07831 | + | 1.31291i | −0.111515 | + | 0.0475616i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −3.60957 | − | 3.46184i | −0.130590 | − | 0.125245i | ||||
\(765\) | − | 35.6004i | − | 1.28714i | ||||||
\(766\) | −35.0827 | + | 14.9629i | −1.26759 | + | 0.540631i | ||||
\(767\) | 7.03521i | 0.254027i | ||||||||
\(768\) | 0.642135 | + | 7.66757i | 0.0231711 | + | 0.276680i | ||||
\(769\) | − | 17.3071i | − | 0.624110i | −0.950064 | − | 0.312055i | \(-0.898983\pi\) | ||
0.950064 | − | 0.312055i | \(-0.101017\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.3448 | 0.408574 | ||||||||
\(772\) | −4.29225 | + | 4.47541i | −0.154481 | + | 0.161074i | ||||
\(773\) | −27.0778 | −0.973921 | −0.486960 | − | 0.873424i | \(-0.661894\pi\) | ||||
−0.486960 | + | 0.873424i | \(0.661894\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.603391 | 0.0216744 | ||||||||
\(776\) | −7.59856 | − | 2.87198i | −0.272772 | − | 0.103098i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.7485 | + | 41.6141i | 0.636315 | + | 1.49194i | ||||
\(779\) | −22.2504 | −0.797203 | ||||||||
\(780\) | −3.07831 | − | 2.95232i | −0.110221 | − | 0.105710i | ||||
\(781\) | 8.47529i | 0.303270i | ||||||||
\(782\) | 23.1603 | − | 9.87795i | 0.828211 | − | 0.353235i | ||||
\(783\) | 14.1654 | 0.506230 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.35969 | −0.0842208 | ||||||||
\(786\) | −2.46789 | + | 1.05256i | −0.0880269 | + | 0.0375437i | ||||
\(787\) | − | 54.2344i | − | 1.93325i | −0.256197 | − | 0.966624i | \(-0.582470\pi\) | ||
0.256197 | − | 0.966624i | \(-0.417530\pi\) | |||||||
\(788\) | 22.6464 | + | 21.7195i | 0.806744 | + | 0.773726i | ||||
\(789\) | −5.13557 | −0.182831 | ||||||||
\(790\) | −21.1492 | − | 49.5876i | −0.752456 | − | 1.76425i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.43462 | − | 11.7329i | 0.157578 | − | 0.416911i | ||||
\(793\) | −11.6985 | −0.415424 | ||||||||
\(794\) | 22.1645 | − | 9.45321i | 0.786588 | − | 0.335482i | ||||
\(795\) | −10.8823 | −0.385956 | ||||||||
\(796\) | 16.3713 | − | 17.0699i | 0.580264 | − | 0.605026i | ||||
\(797\) | −20.1437 | −0.713527 | −0.356763 | − | 0.934195i | \(-0.616120\pi\) | ||||
−0.356763 | + | 0.934195i | \(0.616120\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 40.7221i | − | 1.44064i | ||||||
\(800\) | 12.6682 | + | 26.5690i | 0.447889 | + | 0.939358i | ||||
\(801\) | − | 4.79559i | − | 0.169444i | ||||||
\(802\) | 7.67125 | − | 3.27181i | 0.270881 | − | 0.115532i | ||||
\(803\) | − | 17.2093i | − | 0.607303i | ||||||
\(804\) | 6.96673 | + | 6.68160i | 0.245698 | + | 0.235642i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.209423 | − | 0.0893195i | 0.00737661 | − | 0.00314615i | ||||
\(807\) | − | 11.2233i | − | 0.395077i | ||||||
\(808\) | −6.80620 | + | 18.0075i | −0.239441 | + | 0.633502i | ||||
\(809\) | 34.5543 | 1.21486 | 0.607432 | − | 0.794372i | \(-0.292200\pi\) | ||||
0.607432 | + | 0.794372i | \(0.292200\pi\) | |||||||
\(810\) | 28.9707 | − | 12.3561i | 1.01793 | − | 0.434148i | ||||
\(811\) | 13.6340i | 0.478754i | 0.970927 | + | 0.239377i | \(0.0769431\pi\) | ||||
−0.970927 | + | 0.239377i | \(0.923057\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.55911i | 0.230038i | ||||||||
\(814\) | 4.75175 | + | 11.1412i | 0.166549 | + | 0.390498i | ||||
\(815\) | 27.8046 | 0.973953 | ||||||||
\(816\) | −0.323384 | − | 7.73640i | −0.0113207 | − | 0.270828i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0.133094 | + | 0.312058i | 0.00465352 | + | 0.0109109i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.4430 | − | 18.6473i | −0.678980 | − | 0.651191i | ||||
\(821\) | − | 32.0211i | − | 1.11754i | −0.829321 | − | 0.558772i | \(-0.811273\pi\) | ||
0.829321 | − | 0.558772i | \(-0.188727\pi\) | |||||||
\(822\) | −0.0274399 | − | 0.0643370i | −0.000957078 | − | 0.00224401i | ||||
\(823\) | 30.9921i | 1.08032i | 0.841564 | + | 0.540158i | \(0.181635\pi\) | ||||
−0.841564 | + | 0.540158i | \(0.818365\pi\) | |||||||
\(824\) | −14.0494 | + | 37.1713i | −0.489435 | + | 1.29492i | ||||
\(825\) | 4.00788i | 0.139537i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.0191 | −0.383172 | −0.191586 | − | 0.981476i | \(-0.561363\pi\) | ||||
−0.191586 | + | 0.981476i | \(0.561363\pi\) | |||||||
\(828\) | 17.6766 | + | 16.9532i | 0.614305 | + | 0.589163i | ||||
\(829\) | −37.9672 | −1.31866 | −0.659328 | − | 0.751856i | \(-0.729159\pi\) | ||||
−0.659328 | + | 0.751856i | \(0.729159\pi\) | |||||||
\(830\) | −26.5459 | − | 62.2407i | −0.921420 | − | 2.16041i | ||||
\(831\) | −0.219998 | −0.00763163 | ||||||||
\(832\) | 8.32984 | + | 7.34623i | 0.288785 | + | 0.254685i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −9.37041 | + | 3.99651i | −0.324471 | + | 0.138388i | ||||
\(835\) | 4.43462 | 0.153466 | ||||||||
\(836\) | −12.1989 | − | 11.6996i | −0.421907 | − | 0.404640i | ||||
\(837\) | − | 0.321700i | − | 0.0111196i | ||||||
\(838\) | 16.3192 | + | 38.2629i | 0.563739 | + | 1.32177i | ||||
\(839\) | 8.32984 | 0.287578 | 0.143789 | − | 0.989608i | \(-0.454071\pi\) | ||||
0.143789 | + | 0.989608i | \(0.454071\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.92739 | 0.100945 | ||||||||
\(842\) | −17.8242 | − | 41.7914i | −0.614261 | − | 1.44023i | ||||
\(843\) | − | 0.691033i | − | 0.0238004i | ||||||
\(844\) | 13.9442 | − | 14.5392i | 0.479979 | − | 0.500461i | ||||
\(845\) | 35.3689 | 1.21673 | ||||||||
\(846\) | 36.4361 | − | 15.5401i | 1.25270 | − | 0.534280i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 28.3123 | − | 1.18346i | 0.972247 | − | 0.0406402i | ||||
\(849\) | 15.0168 | 0.515375 | ||||||||
\(850\) | −11.6207 | − | 27.2465i | −0.398587 | − | 0.934546i | ||||
\(851\) | −23.6510 | −0.810747 | ||||||||
\(852\) | −3.52278 | + | 3.67311i | −0.120689 | + | 0.125839i | ||||
\(853\) | 6.94153 | 0.237673 | 0.118837 | − | 0.992914i | \(-0.462083\pi\) | ||||
0.118837 | + | 0.992914i | \(0.462083\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − | 46.6657i | − | 1.59593i | ||||||
\(856\) | 5.13915 | − | 13.5969i | 0.175652 | − | 0.464733i | ||||
\(857\) | 2.21407i | 0.0756313i | 0.999285 | + | 0.0378156i | \(0.0120400\pi\) | ||||
−0.999285 | + | 0.0378156i | \(0.987960\pi\) | |||||||
\(858\) | 0.593283 | + | 1.39104i | 0.0202544 | + | 0.0474894i | ||||
\(859\) | − | 6.07762i | − | 0.207366i | −0.994610 | − | 0.103683i | \(-0.966937\pi\) | ||
0.994610 | − | 0.103683i | \(-0.0330627\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20.9914 | − | 49.2175i | −0.714970 | − | 1.67635i | ||||
\(863\) | − | 8.83054i | − | 0.300595i | −0.988641 | − | 0.150298i | \(-0.951977\pi\) | ||
0.988641 | − | 0.150298i | \(-0.0480232\pi\) | |||||||
\(864\) | 14.1654 | − | 6.75411i | 0.481916 | − | 0.229779i | ||||
\(865\) | 3.10051 | 0.105421 | ||||||||
\(866\) | 14.1386 | + | 33.1500i | 0.480448 | + | 1.12648i | ||||
\(867\) | − | 0.383106i | − | 0.0130110i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.1141i | 0.648400i | ||||||||
\(870\) | 10.2034 | − | 4.35176i | 0.345926 | − | 0.147539i | ||||
\(871\) | 13.9335 | 0.472117 | ||||||||
\(872\) | 7.49044 | + | 2.83112i | 0.253658 | + | 0.0958738i | ||||
\(873\) | 7.95176i | 0.269126i | ||||||||
\(874\) | 30.3590 | − | 12.9482i | 1.02691 | − | 0.437979i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 7.15310 | − | 7.45835i | 0.241681 | − | 0.251994i | ||||
\(877\) | − | 11.9002i | − | 0.401842i | −0.979607 | − | 0.200921i | \(-0.935607\pi\) | ||
0.979607 | − | 0.200921i | \(-0.0643934\pi\) | |||||||
\(878\) | 31.1691 | − | 13.2937i | 1.05191 | − | 0.448641i | ||||
\(879\) | − | 15.0525i | − | 0.507707i | ||||||
\(880\) | −0.854687 | − | 20.4469i | −0.0288115 | − | 0.689266i | ||||
\(881\) | 53.9142i | 1.81642i | 0.418519 | + | 0.908208i | \(0.362549\pi\) | ||||
−0.418519 | + | 0.908208i | \(0.637451\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.1987 | 0.376866 | 0.188433 | − | 0.982086i | \(-0.439659\pi\) | ||||
0.188433 | + | 0.982086i | \(0.439659\pi\) | |||||||
\(884\) | −8.06654 | − | 7.73640i | −0.271307 | − | 0.260203i | ||||
\(885\) | 7.78429 | 0.261666 | ||||||||
\(886\) | −13.3595 | + | 5.69786i | −0.448821 | + | 0.191423i | ||||
\(887\) | 36.3664 | 1.22106 | 0.610531 | − | 0.791992i | \(-0.290956\pi\) | ||||
0.610531 | + | 0.791992i | \(0.290956\pi\) | |||||||
\(888\) | −2.57151 | + | 6.80357i | −0.0862941 | + | 0.228313i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −3.06957 | − | 7.19707i | −0.102892 | − | 0.241246i | ||||
\(891\) | −11.1671 | −0.374110 | ||||||||
\(892\) | −33.6521 | + | 35.0881i | −1.12675 | + | 1.17484i | ||||
\(893\) | − | 53.3792i | − | 1.78627i | ||||||
\(894\) | 7.07301 | − | 3.01666i | 0.236557 | − | 0.100892i | ||||
\(895\) | 45.5819 | 1.52364 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.95297 | −0.0985968 | ||||||||
\(898\) | −14.9721 | + | 6.38564i | −0.499625 | + | 0.213092i | ||||
\(899\) | 0.592117i | 0.0197482i | ||||||||
\(900\) | 19.9442 | − | 20.7953i | 0.664806 | − | 0.693176i | ||||
\(901\) | −28.5165 | −0.950022 | ||||||||
\(902\) | 3.74726 | + | 8.78601i | 0.124770 | + | 0.292542i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.43695 | − | 3.80183i | 0.0477924 | − | 0.126447i | ||||
\(905\) | 48.9419 | 1.62688 | ||||||||
\(906\) | −9.27143 | + | 3.95429i | −0.308023 | + | 0.131373i | ||||
\(907\) | −17.8474 | −0.592613 | −0.296307 | − | 0.955093i | \(-0.595755\pi\) | ||||
−0.296307 | + | 0.955093i | \(0.595755\pi\) | |||||||
\(908\) | −20.6757 | − | 19.8295i | −0.686148 | − | 0.658066i | ||||
\(909\) | 18.8446 | 0.625034 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.1458i | 0.369278i | 0.982806 | + | 0.184639i | \(0.0591116\pi\) | ||||
−0.982806 | + | 0.184639i | \(0.940888\pi\) | |||||||
\(912\) | −0.423897 | − | 10.1410i | −0.0140366 | − | 0.335803i | ||||
\(913\) | 23.9914i | 0.793998i | ||||||||
\(914\) | −39.8188 | + | 16.9828i | −1.31709 | + | 0.561742i | ||||
\(915\) | 12.9441i | 0.427918i | ||||||||
\(916\) | 14.7436 | − | 15.3727i | 0.487141 | − | 0.507929i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −14.5265 | + | 6.19562i | −0.479448 | + | 0.204486i | ||||
\(919\) | 32.6552i | 1.07720i | 0.842563 | + | 0.538598i | \(0.181046\pi\) | ||||
−0.842563 | + | 0.538598i | \(0.818954\pi\) | |||||||
\(920\) | 37.3800 | + | 14.1283i | 1.23238 | + | 0.465796i | ||||
\(921\) | 7.07960 | 0.233281 | ||||||||
\(922\) | 22.5918 | − | 9.63548i | 0.744022 | − | 0.317328i | ||||
\(923\) | 7.34623i | 0.241804i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.8238i | 0.914839i | ||||||||
\(926\) | 12.0554 | + | 28.2657i | 0.396166 | + | 0.928870i | ||||
\(927\) | 38.8991 | 1.27761 | ||||||||
\(928\) | −26.0726 | + | 12.4315i | −0.855875 | + | 0.408085i | ||||
\(929\) | 26.9076i | 0.882811i | 0.897308 | + | 0.441406i | \(0.145520\pi\) | ||||
−0.897308 | + | 0.441406i | \(0.854480\pi\) | |||||||
\(930\) | −0.0988299 | − | 0.231721i | −0.00324076 | − | 0.00759844i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −0.883202 | + | 0.920891i | −0.0289302 | + | 0.0301648i | ||||
\(933\) | 7.49268i | 0.245299i | ||||||||
\(934\) | −0.375326 | − | 0.880007i | −0.0122810 | − | 0.0287947i | ||||
\(935\) | 20.5944i | 0.673510i | ||||||||
\(936\) | 3.84385 | − | 10.1699i | 0.125640 | − | 0.332413i | ||||
\(937\) | − | 32.6476i | − | 1.06655i | −0.845942 | − | 0.533275i | \(-0.820961\pi\) | ||
0.845942 | − | 0.533275i | \(-0.179039\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.29315 | −0.205369 | ||||||||
\(940\) | 44.7353 | − | 46.6443i | 1.45910 | − | 1.52137i | ||||
\(941\) | −12.6417 | −0.412109 | −0.206055 | − | 0.978541i | \(-0.566062\pi\) | ||||
−0.206055 | + | 0.978541i | \(0.566062\pi\) | |||||||
\(942\) | 0.197099 | + | 0.462128i | 0.00642183 | + | 0.0150569i | ||||
\(943\) | −18.6514 | −0.607372 | ||||||||
\(944\) | −20.2522 | + | 0.846548i | −0.659154 | + | 0.0275528i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −42.2541 | −1.37307 | −0.686537 | − | 0.727095i | \(-0.740870\pi\) | ||||
−0.686537 | + | 0.727095i | \(0.740870\pi\) | |||||||
\(948\) | −7.94483 | + | 8.28386i | −0.258036 | + | 0.269047i | ||||
\(949\) | − | 14.9167i | − | 0.484217i | ||||||
\(950\) | −15.2326 | − | 35.7152i | −0.494212 | − | 1.15875i | ||||
\(951\) | 11.3264 | 0.367285 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −44.4561 | −1.44007 | −0.720037 | − | 0.693936i | \(-0.755875\pi\) | ||||
−0.720037 | + | 0.693936i | \(0.755875\pi\) | |||||||
\(954\) | −10.8823 | − | 25.5152i | −0.352328 | − | 0.826085i | ||||
\(955\) | 7.98780i | 0.258479i | ||||||||
\(956\) | −6.83528 | − | 6.55553i | −0.221069 | − | 0.212021i | ||||
\(957\) | −3.93299 | −0.127136 | ||||||||
\(958\) | −37.4223 | + | 15.9607i | −1.20906 | + | 0.515668i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 8.12842 | − | 9.21676i | 0.262344 | − | 0.297470i | ||||
\(961\) | −30.9866 | −0.999566 | ||||||||
\(962\) | 4.11873 | + | 9.65697i | 0.132793 | + | 0.311353i | ||||
\(963\) | −14.2289 | −0.458521 | ||||||||
\(964\) | −16.8974 | − | 16.2059i | −0.544229 | − | 0.521956i | ||||
\(965\) | 9.90388 | 0.318817 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.7160i | 0.826972i | 0.910510 | + | 0.413486i | \(0.135689\pi\) | ||||
−0.910510 | + | 0.413486i | \(0.864311\pi\) | |||||||
\(968\) | 8.43462 | − | 22.3159i | 0.271099 | − | 0.717261i | ||||
\(969\) | 10.2142i | 0.328127i | ||||||||
\(970\) | 5.08979 | + | 11.9338i | 0.163423 | + | 0.383170i | ||||
\(971\) | 46.5051i | 1.49242i | 0.665711 | + | 0.746210i | \(0.268129\pi\) | ||||
−0.665711 | + | 0.746210i | \(0.731871\pi\) | |||||||
\(972\) | −16.8529 | − | 16.1631i | −0.540556 | − | 0.518432i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −1.01699 | − | 2.38448i | −0.0325863 | − | 0.0764035i | ||||
\(975\) | 3.47396i | 0.111256i | ||||||||
\(976\) | −1.40768 | − | 33.6763i | −0.0450587 | − | 1.07795i | ||||
\(977\) | 34.2695 | 1.09638 | 0.548189 | − | 0.836354i | \(-0.315317\pi\) | ||||
0.548189 | + | 0.836354i | \(0.315317\pi\) | |||||||
\(978\) | −2.32245 | − | 5.44533i | −0.0742638 | − | 0.174123i | ||||
\(979\) | 2.77419i | 0.0886635i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 7.83862i | − | 0.250268i | ||||||
\(982\) | −17.4793 | + | 7.45498i | −0.557788 | + | 0.237898i | ||||
\(983\) | −1.55467 | −0.0495862 | −0.0247931 | − | 0.999693i | \(-0.507893\pi\) | ||||
−0.0247931 | + | 0.999693i | \(0.507893\pi\) | |||||||
\(984\) | −2.02791 | + | 5.36534i | −0.0646473 | + | 0.171041i | ||||
\(985\) | − | 50.1153i | − | 1.59681i | ||||||
\(986\) | 26.7374 | − | 11.4036i | 0.851491 | − | 0.363163i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.5738 | − | 10.1410i | −0.336396 | − | 0.322629i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −18.4269 | + | 7.85913i | −0.585645 | + | 0.249779i | ||||
\(991\) | − | 26.1519i | − | 0.830741i | −0.909652 | − | 0.415371i | \(-0.863652\pi\) | ||
0.909652 | − | 0.415371i | \(-0.136348\pi\) | |||||||
\(992\) | 0.282324 | + | 0.592117i | 0.00896378 | + | 0.0187997i | ||||
\(993\) | − | 15.8964i | − | 0.504457i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −37.7748 | −1.19754 | ||||||||
\(996\) | −9.97209 | + | 10.3976i | −0.315978 | + | 0.329462i | ||||
\(997\) | 36.2933 | 1.14942 | 0.574711 | − | 0.818356i | \(-0.305114\pi\) | ||||
0.574711 | + | 0.818356i | \(0.305114\pi\) | |||||||
\(998\) | 14.7881 | − | 6.30715i | 0.468108 | − | 0.199649i | ||||
\(999\) | 14.8343 | 0.469338 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))