Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 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("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.19 | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.e.299.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.639662 | + | 1.26128i | 0.452310 | + | 0.891861i | ||||
\(3\) | −0.730070 | − | 1.57067i | −0.421506 | − | 0.906826i | ||||
\(4\) | −1.18166 | + | 1.61359i | −0.590832 | + | 0.806795i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.51406 | − | 1.92552i | 0.618111 | − | 0.786091i | ||||
\(7\) | 1.25539 | 0.474491 | 0.237245 | − | 0.971450i | \(-0.423755\pi\) | ||||
0.237245 | + | 0.971450i | \(0.423755\pi\) | |||||||
\(8\) | −2.79106 | − | 0.458259i | −0.986788 | − | 0.162019i | ||||
\(9\) | −1.93400 | + | 2.29339i | −0.644665 | + | 0.764465i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.02346i | 0.911609i | 0.890080 | + | 0.455804i | \(0.150648\pi\) | ||||
−0.890080 | + | 0.455804i | \(0.849352\pi\) | |||||||
\(12\) | 3.39711 | + | 0.677969i | 0.980661 | + | 0.195713i | ||||
\(13\) | 5.65509 | 1.56844 | 0.784220 | − | 0.620483i | \(-0.213064\pi\) | ||||
0.784220 | + | 0.620483i | \(0.213064\pi\) | |||||||
\(14\) | 0.803023 | + | 1.58339i | 0.214617 | + | 0.423180i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.20734 | − | 3.81344i | −0.301835 | − | 0.953360i | ||||
\(17\) | 2.45546 | 0.595538 | 0.297769 | − | 0.954638i | \(-0.403758\pi\) | ||||
0.297769 | + | 0.954638i | \(0.403758\pi\) | |||||||
\(18\) | −4.12972 | − | 0.972316i | −0.973385 | − | 0.229177i | ||||
\(19\) | −1.77801 | −0.407903 | −0.203951 | − | 0.978981i | \(-0.565378\pi\) | ||||
−0.203951 | + | 0.978981i | \(0.565378\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.916519 | − | 1.97179i | −0.200001 | − | 0.430281i | ||||
\(22\) | −3.81344 | + | 1.93400i | −0.813028 | + | 0.412329i | ||||
\(23\) | 8.84074i | 1.84342i | 0.387878 | + | 0.921711i | \(0.373208\pi\) | ||||
−0.387878 | + | 0.921711i | \(0.626792\pi\) | |||||||
\(24\) | 1.31789 | + | 4.71839i | 0.269014 | + | 0.963136i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.61735 | + | 7.13266i | 0.709420 | + | 1.39883i | ||||
\(27\) | 5.01411 | + | 1.36333i | 0.964967 | + | 0.262373i | ||||
\(28\) | −1.48344 | + | 2.02568i | −0.280344 | + | 0.382817i | ||||
\(29\) | 3.79561 | 0.704827 | 0.352414 | − | 0.935844i | \(-0.385361\pi\) | ||||
0.352414 | + | 0.935844i | \(0.385361\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.19897i | 0.933763i | 0.884320 | + | 0.466881i | \(0.154623\pi\) | ||||
−0.884320 | + | 0.466881i | \(0.845377\pi\) | |||||||
\(32\) | 4.03753 | − | 3.96211i | 0.713742 | − | 0.700409i | ||||
\(33\) | 4.74886 | − | 2.20734i | 0.826670 | − | 0.384249i | ||||
\(34\) | 1.57067 | + | 3.09703i | 0.269367 | + | 0.531137i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.41526 | − | 5.83070i | −0.235877 | − | 0.971783i | ||||
\(37\) | 6.45436 | 1.06109 | 0.530545 | − | 0.847657i | \(-0.321987\pi\) | ||||
0.530545 | + | 0.847657i | \(0.321987\pi\) | |||||||
\(38\) | −1.13732 | − | 2.24257i | −0.184498 | − | 0.363793i | ||||
\(39\) | −4.12861 | − | 8.88227i | −0.661107 | − | 1.42230i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.57276i | 1.18267i | 0.806427 | + | 0.591333i | \(0.201398\pi\) | ||||
−0.806427 | + | 0.591333i | \(0.798602\pi\) | |||||||
\(42\) | 1.90072 | − | 2.41727i | 0.293288 | − | 0.372993i | ||||
\(43\) | − | 4.37266i | − | 0.666824i | −0.942781 | − | 0.333412i | \(-0.891800\pi\) | ||
0.942781 | − | 0.333412i | \(-0.108200\pi\) | |||||||
\(44\) | −4.87863 | − | 3.57272i | −0.735481 | − | 0.538608i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −11.1507 | + | 5.65509i | −1.64408 | + | 0.833797i | ||||
\(47\) | 1.83304i | 0.267376i | 0.991023 | + | 0.133688i | \(0.0426820\pi\) | ||||
−0.991023 | + | 0.133688i | \(0.957318\pi\) | |||||||
\(48\) | −5.10821 | + | 4.68041i | −0.737306 | + | 0.675559i | ||||
\(49\) | −5.42401 | −0.774858 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.79266 | − | 3.85672i | −0.251023 | − | 0.540049i | ||||
\(52\) | −6.68241 | + | 9.12499i | −0.926684 | + | 1.26541i | ||||
\(53\) | − | 12.0528i | − | 1.65558i | −0.561035 | − | 0.827792i | \(-0.689597\pi\) | ||
0.561035 | − | 0.827792i | \(-0.310403\pi\) | |||||||
\(54\) | 1.48780 | + | 7.19628i | 0.202464 | + | 0.979290i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.50385 | − | 0.575292i | −0.468222 | − | 0.0768766i | ||||
\(57\) | 1.29807 | + | 2.79266i | 0.171934 | + | 0.369897i | ||||
\(58\) | 2.42791 | + | 4.78734i | 0.318800 | + | 0.628608i | ||||
\(59\) | − | 4.91093i | − | 0.639348i | −0.947528 | − | 0.319674i | \(-0.896427\pi\) | ||
0.947528 | − | 0.319674i | \(-0.103573\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.16586i | 1.04553i | 0.852477 | + | 0.522766i | \(0.175100\pi\) | ||||
−0.852477 | + | 0.522766i | \(0.824900\pi\) | |||||||
\(62\) | −6.55737 | + | 3.32559i | −0.832787 | + | 0.422350i | ||||
\(63\) | −2.42791 | + | 2.87909i | −0.305888 | + | 0.362732i | ||||
\(64\) | 7.58000 | + | 2.55806i | 0.947500 | + | 0.319757i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 5.82174 | + | 4.57770i | 0.716607 | + | 0.563476i | ||||
\(67\) | − | 8.50466i | − | 1.03901i | −0.854467 | − | 0.519505i | \(-0.826116\pi\) | ||
0.854467 | − | 0.519505i | \(-0.173884\pi\) | |||||||
\(68\) | −2.90153 | + | 3.96211i | −0.351863 | + | 0.480476i | ||||
\(69\) | 13.8859 | − | 6.45436i | 1.67166 | − | 0.777013i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.00770 | −0.831661 | −0.415831 | − | 0.909442i | \(-0.636509\pi\) | ||||
−0.415831 | + | 0.909442i | \(0.636509\pi\) | |||||||
\(72\) | 6.44886 | − | 5.51472i | 0.760006 | − | 0.649916i | ||||
\(73\) | 4.59465i | 0.537763i | 0.963173 | + | 0.268881i | \(0.0866540\pi\) | ||||
−0.963173 | + | 0.268881i | \(0.913346\pi\) | |||||||
\(74\) | 4.12861 | + | 8.14076i | 0.479941 | + | 0.946344i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.10101 | − | 2.86897i | 0.241002 | − | 0.329094i | ||||
\(77\) | 3.79561i | 0.432550i | ||||||||
\(78\) | 8.56213 | − | 10.8890i | 0.969470 | − | 1.23294i | ||||
\(79\) | − | 7.36659i | − | 0.828806i | −0.910093 | − | 0.414403i | \(-0.863990\pi\) | ||
0.910093 | − | 0.414403i | \(-0.136010\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.51932 | − | 8.87083i | −0.168813 | − | 0.985648i | ||||
\(82\) | −9.55139 | + | 4.84401i | −1.05477 | + | 0.534932i | ||||
\(83\) | −15.7510 | −1.72890 | −0.864449 | − | 0.502720i | \(-0.832333\pi\) | ||||
−0.864449 | + | 0.502720i | \(0.832333\pi\) | |||||||
\(84\) | 4.26468 | + | 0.851113i | 0.465315 | + | 0.0928640i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.51515 | − | 2.79702i | 0.594714 | − | 0.301611i | ||||
\(87\) | −2.77106 | − | 5.96165i | −0.297089 | − | 0.639156i | ||||
\(88\) | 1.38553 | − | 8.43866i | 0.147698 | − | 0.899564i | ||||
\(89\) | − | 3.65716i | − | 0.387658i | −0.981035 | − | 0.193829i | \(-0.937909\pi\) | ||
0.981035 | − | 0.193829i | \(-0.0620907\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.09931 | 0.744210 | ||||||||
\(92\) | −14.2653 | − | 10.4468i | −1.48726 | − | 1.08915i | ||||
\(93\) | 8.16586 | − | 3.79561i | 0.846760 | − | 0.393587i | ||||
\(94\) | −2.31198 | + | 1.17252i | −0.238462 | + | 0.120937i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −9.17084 | − | 3.44901i | −0.935995 | − | 0.352013i | ||||
\(97\) | − | 13.8773i | − | 1.40903i | −0.709690 | − | 0.704514i | \(-0.751165\pi\) | ||
0.709690 | − | 0.704514i | \(-0.248835\pi\) | |||||||
\(98\) | −3.46953 | − | 6.84120i | −0.350476 | − | 0.691066i | ||||
\(99\) | −6.93400 | − | 5.84737i | −0.696893 | − | 0.587683i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.8859 | 1.38170 | 0.690848 | − | 0.723000i | \(-0.257237\pi\) | ||||
0.690848 | + | 0.723000i | \(0.257237\pi\) | |||||||
\(102\) | 3.71771 | − | 4.72805i | 0.368108 | − | 0.468147i | ||||
\(103\) | −7.36659 | −0.725852 | −0.362926 | − | 0.931818i | \(-0.618222\pi\) | ||||
−0.362926 | + | 0.931818i | \(0.618222\pi\) | |||||||
\(104\) | −15.7837 | − | 2.59150i | −1.54772 | − | 0.254117i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 15.2020 | − | 7.70974i | 1.47655 | − | 0.748836i | ||||
\(107\) | −8.14076 | −0.786997 | −0.393499 | − | 0.919325i | \(-0.628735\pi\) | ||||
−0.393499 | + | 0.919325i | \(0.628735\pi\) | |||||||
\(108\) | −8.12485 | + | 6.47972i | −0.781814 | + | 0.623512i | ||||
\(109\) | 5.65509i | 0.541659i | 0.962627 | + | 0.270830i | \(0.0872980\pi\) | ||||
−0.962627 | + | 0.270830i | \(0.912702\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.71213 | − | 10.1377i | −0.447256 | − | 0.962223i | ||||
\(112\) | −1.51568 | − | 4.78734i | −0.143218 | − | 0.452361i | ||||
\(113\) | 11.4884 | 1.08073 | 0.540367 | − | 0.841429i | \(-0.318285\pi\) | ||||
0.540367 | + | 0.841429i | \(0.318285\pi\) | |||||||
\(114\) | −2.69201 | + | 3.42359i | −0.252129 | + | 0.320649i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.48514 | + | 6.12456i | −0.416435 | + | 0.568651i | ||||
\(117\) | −10.9369 | + | 12.9693i | −1.01112 | + | 1.19902i | ||||
\(118\) | 6.19407 | − | 3.14134i | 0.570210 | − | 0.289183i | ||||
\(119\) | 3.08255 | 0.282577 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.85866 | 0.168969 | ||||||||
\(122\) | −10.2994 | + | 5.22339i | −0.932468 | + | 0.472904i | ||||
\(123\) | 11.8943 | − | 5.52865i | 1.07247 | − | 0.498501i | ||||
\(124\) | −8.38900 | − | 6.14344i | −0.753355 | − | 0.551697i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.18439 | − | 1.22063i | −0.461862 | − | 0.108742i | ||||
\(127\) | 21.7081 | 1.92628 | 0.963142 | − | 0.268993i | \(-0.0866909\pi\) | ||||
0.963142 | + | 0.268993i | \(0.0866909\pi\) | |||||||
\(128\) | 1.62221 | + | 11.1968i | 0.143384 | + | 0.989667i | ||||
\(129\) | −6.86799 | + | 3.19234i | −0.604693 | + | 0.281070i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 12.5212i | − | 1.09398i | −0.837139 | − | 0.546990i | \(-0.815773\pi\) | ||
0.837139 | − | 0.546990i | \(-0.184227\pi\) | |||||||
\(132\) | −2.04982 | + | 10.2710i | −0.178414 | + | 0.893979i | ||||
\(133\) | −2.23208 | −0.193546 | ||||||||
\(134\) | 10.7268 | − | 5.44011i | 0.926653 | − | 0.469954i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.85334 | − | 1.12524i | −0.587669 | − | 0.0964885i | ||||
\(137\) | −18.4649 | −1.57757 | −0.788783 | − | 0.614672i | \(-0.789288\pi\) | ||||
−0.788783 | + | 0.614672i | \(0.789288\pi\) | |||||||
\(138\) | 17.0230 | + | 13.3854i | 1.44910 | + | 1.13944i | ||||
\(139\) | 11.6040 | 0.984237 | 0.492118 | − | 0.870528i | \(-0.336223\pi\) | ||||
0.492118 | + | 0.870528i | \(0.336223\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.87909 | − | 1.33825i | 0.242463 | − | 0.112701i | ||||
\(142\) | −4.48256 | − | 8.83869i | −0.376168 | − | 0.741726i | ||||
\(143\) | 17.0980i | 1.42980i | ||||||||
\(144\) | 11.0807 | + | 4.60627i | 0.923393 | + | 0.383856i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −5.79515 | + | 2.93902i | −0.479610 | + | 0.243235i | ||||
\(147\) | 3.95990 | + | 8.51932i | 0.326607 | + | 0.702661i | ||||
\(148\) | −7.62688 | + | 10.4147i | −0.626926 | + | 0.856081i | ||||
\(149\) | −11.9233 | −0.976794 | −0.488397 | − | 0.872621i | \(-0.662418\pi\) | ||||
−0.488397 | + | 0.872621i | \(0.662418\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 10.0548i | − | 0.818247i | −0.912479 | − | 0.409124i | \(-0.865834\pi\) | ||
0.912479 | − | 0.409124i | \(-0.134166\pi\) | |||||||
\(152\) | 4.96252 | + | 0.814789i | 0.402514 | + | 0.0660881i | ||||
\(153\) | −4.74886 | + | 5.63135i | −0.383922 | + | 0.455268i | ||||
\(154\) | −4.78734 | + | 2.42791i | −0.385775 | + | 0.195647i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 19.2110 | + | 3.83398i | 1.53811 | + | 0.306964i | ||||
\(157\) | −1.71150 | −0.136593 | −0.0682964 | − | 0.997665i | \(-0.521756\pi\) | ||||
−0.0682964 | + | 0.997665i | \(0.521756\pi\) | |||||||
\(158\) | 9.29135 | − | 4.71213i | 0.739180 | − | 0.374877i | ||||
\(159\) | −18.9310 | + | 8.79941i | −1.50133 | + | 0.697838i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.0985i | 0.874687i | ||||||||
\(162\) | 10.2168 | − | 7.59062i | 0.802705 | − | 0.596376i | ||||
\(163\) | 11.9580i | 0.936621i | 0.883564 | + | 0.468311i | \(0.155137\pi\) | ||||
−0.883564 | + | 0.468311i | \(0.844863\pi\) | |||||||
\(164\) | −12.2193 | − | 8.94846i | −0.954169 | − | 0.698758i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.0753 | − | 19.8665i | −0.781997 | − | 1.54194i | ||||
\(167\) | − | 0.583522i | − | 0.0451543i | −0.999745 | − | 0.0225771i | \(-0.992813\pi\) | ||
0.999745 | − | 0.0225771i | \(-0.00718713\pi\) | |||||||
\(168\) | 1.65446 | + | 5.92339i | 0.127645 | + | 0.456999i | ||||
\(169\) | 18.9800 | 1.46000 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.43866 | − | 4.07767i | 0.262961 | − | 0.311827i | ||||
\(172\) | 7.05567 | + | 5.16701i | 0.537990 | + | 0.393981i | ||||
\(173\) | − | 12.0528i | − | 0.916360i | −0.888860 | − | 0.458180i | \(-0.848502\pi\) | ||
0.888860 | − | 0.458180i | \(-0.151498\pi\) | |||||||
\(174\) | 5.74677 | − | 7.30853i | 0.435662 | − | 0.554058i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.5298 | − | 3.65035i | 0.869092 | − | 0.275155i | ||||
\(177\) | −7.71344 | + | 3.58532i | −0.579778 | + | 0.269489i | ||||
\(178\) | 4.61271 | − | 2.33935i | 0.345737 | − | 0.175341i | ||||
\(179\) | − | 0.605490i | − | 0.0452565i | −0.999744 | − | 0.0226282i | \(-0.992797\pi\) | ||
0.999744 | − | 0.0226282i | \(-0.00720340\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.08790i | 0.526840i | 0.964681 | + | 0.263420i | \(0.0848505\pi\) | ||||
−0.964681 | + | 0.263420i | \(0.915150\pi\) | |||||||
\(182\) | 4.54116 | + | 8.95424i | 0.336613 | + | 0.663732i | ||||
\(183\) | 12.8259 | − | 5.96165i | 0.948114 | − | 0.440698i | ||||
\(184\) | 4.05135 | − | 24.6750i | 0.298670 | − | 1.81907i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 10.0107 | + | 7.87154i | 0.734022 | + | 0.577169i | ||||
\(187\) | 7.42401i | 0.542897i | ||||||||
\(188\) | −2.95777 | − | 2.16603i | −0.215717 | − | 0.157974i | ||||
\(189\) | 6.29464 | + | 1.71150i | 0.457868 | + | 0.124493i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −18.9310 | −1.36980 | −0.684899 | − | 0.728638i | \(-0.740154\pi\) | ||||
−0.684899 | + | 0.728638i | \(0.740154\pi\) | |||||||
\(192\) | −1.51607 | − | 13.7732i | −0.109413 | − | 0.993996i | ||||
\(193\) | − | 4.27334i | − | 0.307602i | −0.988102 | − | 0.153801i | \(-0.950849\pi\) | ||
0.988102 | − | 0.153801i | \(-0.0491515\pi\) | |||||||
\(194\) | 17.5032 | − | 8.87680i | 1.25666 | − | 0.637317i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.40936 | − | 8.75212i | 0.457811 | − | 0.625151i | ||||
\(197\) | − | 10.0903i | − | 0.718901i | −0.933164 | − | 0.359450i | \(-0.882964\pi\) | ||
0.933164 | − | 0.359450i | \(-0.117036\pi\) | |||||||
\(198\) | 2.93976 | − | 12.4861i | 0.208920 | − | 0.887346i | ||||
\(199\) | 19.0199i | 1.34829i | 0.738601 | + | 0.674143i | \(0.235487\pi\) | ||||
−0.738601 | + | 0.674143i | \(0.764513\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.3580 | + | 6.20900i | −0.942201 | + | 0.437949i | ||||
\(202\) | 8.88227 | + | 17.5140i | 0.624954 | + | 1.23228i | ||||
\(203\) | 4.76495 | 0.334434 | ||||||||
\(204\) | 8.34148 | + | 1.66473i | 0.584021 | + | 0.116554i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −4.71213 | − | 9.29135i | −0.328310 | − | 0.647359i | ||||
\(207\) | −20.2753 | − | 17.0980i | −1.40923 | − | 1.18839i | ||||
\(208\) | −6.82761 | − | 21.5653i | −0.473410 | − | 1.49529i | ||||
\(209\) | − | 5.37574i | − | 0.371848i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.49534 | 0.378315 | 0.189157 | − | 0.981947i | \(-0.439424\pi\) | ||||
0.189157 | + | 0.981947i | \(0.439424\pi\) | |||||||
\(212\) | 19.4483 | + | 14.2424i | 1.33572 | + | 0.978172i | ||||
\(213\) | 5.11611 | + | 11.0068i | 0.350550 | + | 0.754172i | ||||
\(214\) | −5.20734 | − | 10.2678i | −0.355966 | − | 0.701892i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −13.3699 | − | 6.10289i | −0.909708 | − | 0.415249i | ||||
\(217\) | 6.52671i | 0.443062i | ||||||||
\(218\) | −7.13266 | + | 3.61735i | −0.483085 | + | 0.244998i | ||||
\(219\) | 7.21667 | − | 3.35441i | 0.487657 | − | 0.226670i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 13.8859 | 0.934065 | ||||||||
\(222\) | 9.77226 | − | 12.4280i | 0.655871 | − | 0.834113i | ||||
\(223\) | −7.70974 | −0.516282 | −0.258141 | − | 0.966107i | \(-0.583110\pi\) | ||||
−0.258141 | + | 0.966107i | \(0.583110\pi\) | |||||||
\(224\) | 5.06866 | − | 4.97397i | 0.338664 | − | 0.332338i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.34868 | + | 14.4901i | 0.488827 | + | 0.963865i | ||||
\(227\) | 7.40388 | 0.491413 | 0.245706 | − | 0.969344i | \(-0.420980\pi\) | ||||
0.245706 | + | 0.969344i | \(0.420980\pi\) | |||||||
\(228\) | −6.04009 | − | 1.20544i | −0.400015 | − | 0.0798319i | ||||
\(229\) | 17.1310i | 1.13205i | 0.824389 | + | 0.566024i | \(0.191519\pi\) | ||||
−0.824389 | + | 0.566024i | \(0.808481\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.96165 | − | 2.77106i | 0.392248 | − | 0.182322i | ||||
\(232\) | −10.5938 | − | 1.73937i | −0.695515 | − | 0.114196i | ||||
\(233\) | 1.40807 | 0.0922454 | 0.0461227 | − | 0.998936i | \(-0.485313\pi\) | ||||
0.0461227 | + | 0.998936i | \(0.485313\pi\) | |||||||
\(234\) | −23.3539 | − | 5.49854i | −1.52669 | − | 0.359450i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.92422 | + | 5.80307i | 0.515823 | + | 0.377748i | ||||
\(237\) | −11.5705 | + | 5.37812i | −0.751583 | + | 0.349347i | ||||
\(238\) | 1.97179 | + | 3.88797i | 0.127812 | + | 0.252020i | ||||
\(239\) | 9.50673 | 0.614939 | 0.307470 | − | 0.951558i | \(-0.400518\pi\) | ||||
0.307470 | + | 0.951558i | \(0.400518\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.27334 | 0.146439 | 0.0732195 | − | 0.997316i | \(-0.476673\pi\) | ||||
0.0732195 | + | 0.997316i | \(0.476673\pi\) | |||||||
\(242\) | 1.18892 | + | 2.34430i | 0.0764265 | + | 0.150697i | ||||
\(243\) | −12.8239 | + | 8.86267i | −0.822655 | + | 0.568540i | ||||
\(244\) | −13.1763 | − | 9.64930i | −0.843529 | − | 0.617733i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 14.5815 | + | 11.4656i | 0.929683 | + | 0.731020i | ||||
\(247\) | −10.0548 | −0.639771 | ||||||||
\(248\) | 2.38248 | − | 14.5106i | 0.151287 | − | 0.921426i | ||||
\(249\) | 11.4993 | + | 24.7396i | 0.728741 | + | 1.56781i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.49772i | 0.599491i | 0.954019 | + | 0.299745i | \(0.0969017\pi\) | ||||
−0.954019 | + | 0.299745i | \(0.903098\pi\) | |||||||
\(252\) | −1.77670 | − | 7.31977i | −0.111922 | − | 0.461102i | ||||
\(253\) | −26.7297 | −1.68048 | ||||||||
\(254\) | 13.8859 | + | 27.3801i | 0.871277 | + | 1.71798i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.0847 | + | 9.20824i | −0.817791 | + | 0.575515i | ||||
\(257\) | 27.3144 | 1.70382 | 0.851912 | − | 0.523686i | \(-0.175443\pi\) | ||||
0.851912 | + | 0.523686i | \(0.175443\pi\) | |||||||
\(258\) | −8.41964 | − | 6.62045i | −0.524184 | − | 0.412171i | ||||
\(259\) | 8.10270 | 0.503477 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.34070 | + | 8.70484i | −0.454378 | + | 0.538816i | ||||
\(262\) | 15.7927 | − | 8.00933i | 0.975679 | − | 0.494818i | ||||
\(263\) | 1.24952i | 0.0770484i | 0.999258 | + | 0.0385242i | \(0.0122657\pi\) | ||||
−0.999258 | + | 0.0385242i | \(0.987734\pi\) | |||||||
\(264\) | −14.2659 | + | 3.98460i | −0.878004 | + | 0.245235i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.42778 | − | 2.81529i | −0.0875428 | − | 0.172616i | ||||
\(267\) | −5.74418 | + | 2.66998i | −0.351538 | + | 0.163400i | ||||
\(268\) | 13.7230 | + | 10.0497i | 0.838268 | + | 0.613880i | ||||
\(269\) | −15.7189 | −0.958399 | −0.479199 | − | 0.877706i | \(-0.659073\pi\) | ||||
−0.479199 | + | 0.877706i | \(0.659073\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | −2.96458 | − | 9.36377i | −0.179754 | − | 0.567762i | ||||
\(273\) | −5.18299 | − | 11.1507i | −0.313689 | − | 0.674869i | ||||
\(274\) | −11.8113 | − | 23.2895i | −0.713548 | − | 1.40697i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −5.99375 | + | 30.0330i | −0.360781 | + | 1.80777i | ||||
\(277\) | −0.633548 | −0.0380662 | −0.0190331 | − | 0.999819i | \(-0.506059\pi\) | ||||
−0.0190331 | + | 0.999819i | \(0.506059\pi\) | |||||||
\(278\) | 7.42263 | + | 14.6359i | 0.445180 | + | 0.877802i | ||||
\(279\) | −11.9233 | − | 10.0548i | −0.713829 | − | 0.601965i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 20.9204i | − | 1.24801i | −0.781422 | − | 0.624003i | \(-0.785505\pi\) | ||
0.781422 | − | 0.624003i | \(-0.214495\pi\) | |||||||
\(282\) | 3.52955 | + | 2.77532i | 0.210182 | + | 0.165268i | ||||
\(283\) | − | 14.6846i | − | 0.872911i | −0.899726 | − | 0.436455i | \(-0.856234\pi\) | ||
0.899726 | − | 0.436455i | \(-0.143766\pi\) | |||||||
\(284\) | 8.28075 | − | 11.3076i | 0.491372 | − | 0.670980i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −21.5653 | + | 10.9369i | −1.27519 | + | 0.646714i | ||||
\(287\) | 9.50673i | 0.561165i | ||||||||
\(288\) | 1.27811 | + | 16.9224i | 0.0753131 | + | 0.997160i | ||||
\(289\) | −10.9707 | −0.645335 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −21.7967 | + | 10.1314i | −1.27774 | + | 0.593914i | ||||
\(292\) | −7.41388 | − | 5.42933i | −0.433864 | − | 0.317728i | ||||
\(293\) | − | 5.49911i | − | 0.321262i | −0.987015 | − | 0.160631i | \(-0.948647\pi\) | ||
0.987015 | − | 0.160631i | \(-0.0513528\pi\) | |||||||
\(294\) | −8.21226 | + | 10.4440i | −0.478949 | + | 0.609109i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −18.0145 | − | 2.95777i | −1.04707 | − | 0.171917i | ||||
\(297\) | −4.12197 | + | 15.1600i | −0.239181 | + | 0.879672i | ||||
\(298\) | −7.62688 | − | 15.0386i | −0.441813 | − | 0.871165i | ||||
\(299\) | 49.9952i | 2.89129i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 5.48937i | − | 0.316402i | ||||||
\(302\) | 12.6819 | − | 6.43167i | 0.729763 | − | 0.370101i | ||||
\(303\) | −10.1377 | − | 21.8101i | −0.582393 | − | 1.25296i | ||||
\(304\) | 2.14666 | + | 6.78033i | 0.123119 | + | 0.388878i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −10.1404 | − | 2.38749i | −0.579687 | − | 0.136484i | ||||
\(307\) | − | 6.11929i | − | 0.349246i | −0.984635 | − | 0.174623i | \(-0.944129\pi\) | ||
0.984635 | − | 0.174623i | \(-0.0558707\pi\) | |||||||
\(308\) | −6.12456 | − | 4.48514i | −0.348979 | − | 0.255564i | ||||
\(309\) | 5.37812 | + | 11.5705i | 0.305951 | + | 0.658221i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.75819 | 0.326517 | 0.163258 | − | 0.986583i | \(-0.447800\pi\) | ||||
0.163258 | + | 0.986583i | \(0.447800\pi\) | |||||||
\(312\) | 7.45280 | + | 26.6829i | 0.421932 | + | 1.51062i | ||||
\(313\) | 21.9800i | 1.24238i | 0.783658 | + | 0.621192i | \(0.213351\pi\) | ||||
−0.783658 | + | 0.621192i | \(0.786649\pi\) | |||||||
\(314\) | −1.09478 | − | 2.15869i | −0.0617822 | − | 0.121822i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.8867 | + | 8.70484i | 0.668676 | + | 0.489685i | ||||
\(317\) | − | 17.6815i | − | 0.993091i | −0.868011 | − | 0.496545i | \(-0.834602\pi\) | ||
0.868011 | − | 0.496545i | \(-0.165398\pi\) | |||||||
\(318\) | −23.2080 | − | 18.2487i | −1.30144 | − | 1.02333i | ||||
\(319\) | 11.4759i | 0.642527i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.94333 | + | 12.7864i | 0.331724 | + | 0.713669i | ||||
\(322\) | −13.9984 | + | 7.09931i | −0.780099 | + | 0.395629i | ||||
\(323\) | −4.36583 | −0.242922 | ||||||||
\(324\) | 16.1092 | + | 8.03079i | 0.894956 | + | 0.446155i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −15.0824 | + | 7.64907i | −0.835336 | + | 0.423643i | ||||
\(327\) | 8.88227 | − | 4.12861i | 0.491190 | − | 0.228313i | ||||
\(328\) | 3.47029 | − | 21.1360i | 0.191615 | − | 1.16704i | ||||
\(329\) | 2.30117i | 0.126867i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.14134 | −0.392523 | −0.196262 | − | 0.980552i | \(-0.562880\pi\) | ||||
−0.196262 | + | 0.980552i | \(0.562880\pi\) | |||||||
\(332\) | 18.6124 | − | 25.4157i | 1.02149 | − | 1.39487i | ||||
\(333\) | −12.4827 | + | 14.8024i | −0.684048 | + | 0.811166i | ||||
\(334\) | 0.735985 | − | 0.373257i | 0.0402713 | − | 0.0204237i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −6.41277 | + | 5.87571i | −0.349845 | + | 0.320546i | ||||
\(337\) | 1.90663i | 0.103861i | 0.998651 | + | 0.0519303i | \(0.0165374\pi\) | ||||
−0.998651 | + | 0.0519303i | \(0.983463\pi\) | |||||||
\(338\) | 12.1408 | + | 23.9392i | 0.660373 | + | 1.30212i | ||||
\(339\) | −8.38731 | − | 18.0444i | −0.455536 | − | 0.980038i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.7189 | −0.851226 | ||||||||
\(342\) | 7.34268 | + | 1.72879i | 0.397047 | + | 0.0934821i | ||||
\(343\) | −15.5969 | −0.842154 | ||||||||
\(344\) | −2.00381 | + | 12.2043i | −0.108038 | + | 0.658014i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.2020 | − | 7.70974i | 0.817265 | − | 0.414478i | ||||
\(347\) | 0.530510 | 0.0284793 | 0.0142396 | − | 0.999899i | \(-0.495467\pi\) | ||||
0.0142396 | + | 0.999899i | \(0.495467\pi\) | |||||||
\(348\) | 12.8941 | + | 2.57331i | 0.691197 | + | 0.137944i | ||||
\(349\) | − | 7.36659i | − | 0.394325i | −0.980371 | − | 0.197162i | \(-0.936827\pi\) | ||
0.980371 | − | 0.197162i | \(-0.0631726\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 28.3553 | + | 7.70974i | 1.51349 | + | 0.411516i | ||||
\(352\) | 11.9793 | + | 12.2073i | 0.638499 | + | 0.650653i | ||||
\(353\) | −11.2299 | −0.597708 | −0.298854 | − | 0.954299i | \(-0.596604\pi\) | ||||
−0.298854 | + | 0.954299i | \(0.596604\pi\) | |||||||
\(354\) | −9.45610 | − | 7.43543i | −0.502586 | − | 0.395188i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 5.90115 | + | 4.32153i | 0.312760 | + | 0.229041i | ||||
\(357\) | −2.25048 | − | 4.84167i | −0.119108 | − | 0.256248i | ||||
\(358\) | 0.763694 | − | 0.387309i | 0.0403625 | − | 0.0204699i | ||||
\(359\) | 17.0980 | 0.902396 | 0.451198 | − | 0.892424i | \(-0.350997\pi\) | ||||
0.451198 | + | 0.892424i | \(0.350997\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.8387 | −0.833615 | ||||||||
\(362\) | −8.93985 | + | 4.53387i | −0.469868 | + | 0.238295i | ||||
\(363\) | −1.35695 | − | 2.91934i | −0.0712216 | − | 0.153226i | ||||
\(364\) | −8.38900 | + | 11.4554i | −0.439703 | + | 0.600425i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 15.7235 | + | 12.3636i | 0.821882 | + | 0.646254i | ||||
\(367\) | −13.9984 | −0.730709 | −0.365355 | − | 0.930868i | \(-0.619052\pi\) | ||||
−0.365355 | + | 0.930868i | \(0.619052\pi\) | |||||||
\(368\) | 33.7136 | − | 10.6738i | 1.75744 | − | 0.556409i | ||||
\(369\) | −17.3673 | − | 14.6457i | −0.904107 | − | 0.762424i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 15.1309i | − | 0.785559i | ||||||
\(372\) | −3.52474 | + | 17.6615i | −0.182749 | + | 0.915705i | ||||
\(373\) | 21.5952 | 1.11815 | 0.559077 | − | 0.829116i | \(-0.311155\pi\) | ||||
0.559077 | + | 0.829116i | \(0.311155\pi\) | |||||||
\(374\) | −9.36377 | + | 4.74886i | −0.484189 | + | 0.245558i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.840006 | − | 5.11611i | 0.0433200 | − | 0.263843i | ||||
\(377\) | 21.4645 | 1.10548 | ||||||||
\(378\) | 1.86776 | + | 9.03410i | 0.0960672 | + | 0.464664i | ||||
\(379\) | −11.7780 | −0.604996 | −0.302498 | − | 0.953150i | \(-0.597820\pi\) | ||||
−0.302498 | + | 0.953150i | \(0.597820\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −15.8484 | − | 34.0963i | −0.811940 | − | 1.74680i | ||||
\(382\) | −12.1094 | − | 23.8773i | −0.619573 | − | 1.22167i | ||||
\(383\) | − | 15.8484i | − | 0.809818i | −0.914357 | − | 0.404909i | \(-0.867303\pi\) | ||
0.914357 | − | 0.404909i | \(-0.132697\pi\) | |||||||
\(384\) | 16.4021 | − | 10.7224i | 0.837018 | − | 0.547175i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 5.38989 | − | 2.73350i | 0.274338 | − | 0.139131i | ||||
\(387\) | 10.0282 | + | 8.45670i | 0.509763 | + | 0.429878i | ||||
\(388\) | 22.3923 | + | 16.3983i | 1.13680 | + | 0.832499i | ||||
\(389\) | −18.4770 | −0.936822 | −0.468411 | − | 0.883511i | \(-0.655173\pi\) | ||||
−0.468411 | + | 0.883511i | \(0.655173\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.7081i | 1.09783i | ||||||||
\(392\) | 15.1387 | + | 2.48560i | 0.764621 | + | 0.125542i | ||||
\(393\) | −19.6666 | + | 9.14134i | −0.992050 | + | 0.461119i | ||||
\(394\) | 12.7267 | − | 6.45436i | 0.641160 | − | 0.325166i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 17.6289 | − | 4.27900i | 0.885886 | − | 0.215028i | ||||
\(397\) | 18.3981 | 0.923373 | 0.461687 | − | 0.887043i | \(-0.347244\pi\) | ||||
0.461687 | + | 0.887043i | \(0.347244\pi\) | |||||||
\(398\) | −23.9895 | + | 12.1663i | −1.20248 | + | 0.609843i | ||||
\(399\) | 1.62958 | + | 3.50586i | 0.0815809 | + | 0.175513i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.183464i | 0.00916176i | 0.999990 | + | 0.00458088i | \(0.00145814\pi\) | ||||
−0.999990 | + | 0.00458088i | \(0.998542\pi\) | |||||||
\(402\) | −16.3759 | − | 12.8765i | −0.816756 | − | 0.642224i | ||||
\(403\) | 29.4006i | 1.46455i | ||||||||
\(404\) | −16.4084 | + | 22.4061i | −0.816350 | + | 1.11474i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.04796 | + | 6.00995i | 0.151268 | + | 0.298269i | ||||
\(407\) | 19.5145i | 0.967299i | ||||||||
\(408\) | 3.23604 | + | 11.5858i | 0.160208 | + | 0.573584i | ||||
\(409\) | 30.5933 | 1.51274 | 0.756371 | − | 0.654142i | \(-0.226970\pi\) | ||||
0.756371 | + | 0.654142i | \(0.226970\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.4807 | + | 29.0023i | 0.664953 | + | 1.43058i | ||||
\(412\) | 8.70484 | − | 11.8867i | 0.428856 | − | 0.585613i | ||||
\(413\) | − | 6.16511i | − | 0.303365i | ||||||
\(414\) | 8.59600 | − | 36.5098i | 0.422470 | − | 1.79436i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 22.8326 | − | 22.4061i | 1.11946 | − | 1.09855i | ||||
\(417\) | −8.47171 | − | 18.2260i | −0.414862 | − | 0.892531i | ||||
\(418\) | 6.78033 | − | 3.43866i | 0.331637 | − | 0.168190i | ||||
\(419\) | − | 13.9813i | − | 0.683032i | −0.939876 | − | 0.341516i | \(-0.889060\pi\) | ||
0.939876 | − | 0.341516i | \(-0.110940\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 26.7297i | − | 1.30272i | −0.758767 | − | 0.651362i | \(-0.774198\pi\) | ||
0.758767 | − | 0.651362i | \(-0.225802\pi\) | |||||||
\(422\) | 3.51516 | + | 6.93117i | 0.171115 | + | 0.337404i | ||||
\(423\) | −4.20388 | − | 3.54509i | −0.204400 | − | 0.172368i | ||||
\(424\) | −5.52332 | + | 33.6401i | −0.268236 | + | 1.63371i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −10.6101 | + | 13.4935i | −0.514059 | + | 0.653761i | ||||
\(427\) | 10.2513i | 0.496095i | ||||||||
\(428\) | 9.61965 | − | 13.1358i | 0.464983 | − | 0.634945i | ||||
\(429\) | 26.8552 | − | 12.4827i | 1.29658 | − | 0.602671i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 34.7794 | 1.67527 | 0.837633 | − | 0.546233i | \(-0.183939\pi\) | ||||
0.837633 | + | 0.546233i | \(0.183939\pi\) | |||||||
\(432\) | −0.854768 | − | 20.7670i | −0.0411250 | − | 0.999154i | ||||
\(433\) | − | 19.8667i | − | 0.954731i | −0.878705 | − | 0.477366i | \(-0.841592\pi\) | ||
0.878705 | − | 0.477366i | \(-0.158408\pi\) | |||||||
\(434\) | −8.23202 | + | 4.17489i | −0.395150 | + | 0.200401i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.12499 | − | 6.68241i | −0.437008 | − | 0.320030i | ||||
\(437\) | − | 15.7189i | − | 0.751937i | ||||||
\(438\) | 8.84709 | + | 6.95656i | 0.422730 | + | 0.332397i | ||||
\(439\) | − | 2.85392i | − | 0.136210i | −0.997678 | − | 0.0681051i | \(-0.978305\pi\) | ||
0.997678 | − | 0.0681051i | \(-0.0216953\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.4900 | − | 12.4394i | 0.499524 | − | 0.592352i | ||||
\(442\) | 8.88227 | + | 17.5140i | 0.422486 | + | 0.833056i | ||||
\(443\) | 13.6854 | 0.650212 | 0.325106 | − | 0.945678i | \(-0.394600\pi\) | ||||
0.325106 | + | 0.945678i | \(0.394600\pi\) | |||||||
\(444\) | 21.9262 | + | 4.37586i | 1.04057 | + | 0.207669i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.93163 | − | 9.72416i | −0.233520 | − | 0.460452i | ||||
\(447\) | 8.70484 | + | 18.7275i | 0.411725 | + | 0.885782i | ||||
\(448\) | 9.51581 | + | 3.21134i | 0.449580 | + | 0.151722i | ||||
\(449\) | − | 19.1132i | − | 0.902008i | −0.892522 | − | 0.451004i | \(-0.851066\pi\) | ||
0.892522 | − | 0.451004i | \(-0.148934\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −22.8960 | −1.07813 | ||||||||
\(452\) | −13.5754 | + | 18.5375i | −0.638533 | + | 0.871931i | ||||
\(453\) | −15.7927 | + | 7.34070i | −0.742008 | + | 0.344896i | ||||
\(454\) | 4.73599 | + | 9.33838i | 0.222271 | + | 0.438272i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.34322 | − | 8.38933i | −0.109732 | − | 0.392866i | ||||
\(457\) | 22.6133i | 1.05781i | 0.848682 | + | 0.528903i | \(0.177396\pi\) | ||||
−0.848682 | + | 0.528903i | \(0.822604\pi\) | |||||||
\(458\) | −21.6070 | + | 10.9580i | −1.00963 | + | 0.512036i | ||||
\(459\) | 12.3120 | + | 3.34760i | 0.574674 | + | 0.156253i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −13.2199 | −0.615711 | −0.307855 | − | 0.951433i | \(-0.599611\pi\) | ||||
−0.307855 | + | 0.951433i | \(0.599611\pi\) | |||||||
\(462\) | 7.30853 | + | 5.74677i | 0.340024 | + | 0.267364i | ||||
\(463\) | 40.5506 | 1.88455 | 0.942273 | − | 0.334845i | \(-0.108684\pi\) | ||||
0.942273 | + | 0.334845i | \(0.108684\pi\) | |||||||
\(464\) | −4.58259 | − | 14.4743i | −0.212742 | − | 0.671954i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.900687 | + | 1.77597i | 0.0417235 | + | 0.0822701i | ||||
\(467\) | −10.2492 | −0.474276 | −0.237138 | − | 0.971476i | \(-0.576209\pi\) | ||||
−0.237138 | + | 0.971476i | \(0.576209\pi\) | |||||||
\(468\) | −8.00343 | − | 32.9731i | −0.369959 | − | 1.52418i | ||||
\(469\) | − | 10.6766i | − | 0.493001i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.24952 | + | 2.68820i | 0.0575746 | + | 0.123866i | ||||
\(472\) | −2.25048 | + | 13.7067i | −0.103587 | + | 0.630901i | ||||
\(473\) | 13.2206 | 0.607883 | ||||||||
\(474\) | −14.1845 | − | 11.1534i | −0.651517 | − | 0.512294i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.64254 | + | 4.97397i | −0.166956 | + | 0.227982i | ||||
\(477\) | 27.6419 | + | 23.3101i | 1.26564 | + | 1.06730i | ||||
\(478\) | 6.08110 | + | 11.9907i | 0.278143 | + | 0.548441i | ||||
\(479\) | 31.4378 | 1.43643 | 0.718215 | − | 0.695821i | \(-0.244959\pi\) | ||||
0.718215 | + | 0.695821i | \(0.244959\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 36.5000 | 1.66425 | ||||||||
\(482\) | 1.45417 | + | 2.86733i | 0.0662357 | + | 0.130603i | ||||
\(483\) | 17.4321 | − | 8.10270i | 0.793188 | − | 0.368686i | ||||
\(484\) | −2.19632 | + | 2.99912i | −0.0998326 | + | 0.136324i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −19.3813 | − | 10.5055i | −0.879154 | − | 0.476538i | ||||
\(487\) | 0.177431 | 0.00804018 | 0.00402009 | − | 0.999992i | \(-0.498720\pi\) | ||||
0.00402009 | + | 0.999992i | \(0.498720\pi\) | |||||||
\(488\) | 3.74208 | − | 22.7914i | 0.169396 | − | 1.03172i | ||||
\(489\) | 18.7820 | − | 8.73016i | 0.849352 | − | 0.394791i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 7.75623i | − | 0.350034i | −0.984565 | − | 0.175017i | \(-0.944002\pi\) | ||
0.984565 | − | 0.175017i | \(-0.0559980\pi\) | |||||||
\(492\) | −5.13410 | + | 25.7255i | −0.231463 | + | 1.15980i | ||||
\(493\) | 9.31999 | 0.419751 | ||||||||
\(494\) | −6.43167 | − | 12.6819i | −0.289375 | − | 0.570587i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 19.8260 | − | 6.27693i | 0.890212 | − | 0.281842i | ||||
\(497\) | −8.79736 | −0.394616 | ||||||||
\(498\) | −23.8479 | + | 30.3289i | −1.06865 | + | 1.35907i | ||||
\(499\) | −5.22067 | −0.233709 | −0.116855 | − | 0.993149i | \(-0.537281\pi\) | ||||
−0.116855 | + | 0.993149i | \(0.537281\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.916519 | + | 0.426011i | −0.0409470 | + | 0.0190328i | ||||
\(502\) | −11.9793 | + | 6.07533i | −0.534662 | + | 0.271155i | ||||
\(503\) | − | 6.34171i | − | 0.282763i | −0.989955 | − | 0.141381i | \(-0.954846\pi\) | ||
0.989955 | − | 0.141381i | \(-0.0451544\pi\) | |||||||
\(504\) | 8.09581 | − | 6.92310i | 0.360616 | − | 0.308379i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −17.0980 | − | 33.7136i | −0.760097 | − | 1.49875i | ||||
\(507\) | −13.8567 | − | 29.8113i | −0.615399 | − | 1.32397i | ||||
\(508\) | −25.6517 | + | 35.0280i | −1.13811 | + | 1.55412i | ||||
\(509\) | −34.1959 | −1.51571 | −0.757854 | − | 0.652425i | \(-0.773752\pi\) | ||||
−0.757854 | + | 0.652425i | \(0.773752\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.76805i | 0.255164i | ||||||||
\(512\) | −19.9839 | − | 10.6133i | −0.883174 | − | 0.469045i | ||||
\(513\) | −8.91513 | − | 2.42401i | −0.393613 | − | 0.107023i | ||||
\(514\) | 17.4720 | + | 34.4511i | 0.770656 | + | 1.51957i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.96453 | − | 14.8544i | 0.130506 | − | 0.653928i | ||||
\(517\) | −5.54212 | −0.243742 | ||||||||
\(518\) | 5.18299 | + | 10.2198i | 0.227728 | + | 0.449032i | ||||
\(519\) | −18.9310 | + | 8.79941i | −0.830978 | + | 0.386251i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 32.6151i | − | 1.42889i | −0.699689 | − | 0.714447i | \(-0.746678\pi\) | ||
0.699689 | − | 0.714447i | \(-0.253322\pi\) | |||||||
\(522\) | −15.6748 | − | 3.69054i | −0.686068 | − | 0.161530i | ||||
\(523\) | − | 14.6074i | − | 0.638736i | −0.947631 | − | 0.319368i | \(-0.896529\pi\) | ||
0.947631 | − | 0.319368i | \(-0.103471\pi\) | |||||||
\(524\) | 20.2040 | + | 14.7958i | 0.882618 | + | 0.646359i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.57599 | + | 0.799268i | −0.0687165 | + | 0.0348498i | ||||
\(527\) | 12.7659i | 0.556091i | ||||||||
\(528\) | −14.1510 | − | 15.4445i | −0.615845 | − | 0.672135i | ||||
\(529\) | −55.1587 | −2.39820 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.2627 | + | 9.49772i | 0.488759 | + | 0.412166i | ||||
\(532\) | 2.63757 | − | 3.60167i | 0.114353 | − | 0.156152i | ||||
\(533\) | 42.8246i | 1.85494i | ||||||||
\(534\) | −7.04194 | − | 5.53715i | −0.304734 | − | 0.239616i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.89734 | + | 23.7370i | −0.168340 | + | 1.02528i | ||||
\(537\) | −0.951024 | + | 0.442050i | −0.0410397 | + | 0.0190759i | ||||
\(538\) | −10.0548 | − | 19.8260i | −0.433493 | − | 0.854758i | ||||
\(539\) | − | 16.3993i | − | 0.706368i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.0217i | 0.559846i | 0.960023 | + | 0.279923i | \(0.0903089\pi\) | ||||
−0.960023 | + | 0.279923i | \(0.909691\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 11.1327 | − | 5.17466i | 0.477752 | − | 0.222066i | ||||
\(544\) | 9.91402 | − | 9.72882i | 0.425060 | − | 0.417120i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 10.7488 | − | 13.6699i | 0.460005 | − | 0.585017i | ||||
\(547\) | − | 37.8280i | − | 1.61741i | −0.588214 | − | 0.808705i | \(-0.700169\pi\) | ||
0.588214 | − | 0.808705i | \(-0.299831\pi\) | |||||||
\(548\) | 21.8193 | − | 29.7948i | 0.932076 | − | 1.27277i | ||||
\(549\) | −18.7275 | − | 15.7927i | −0.799272 | − | 0.674018i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.74863 | −0.287501 | ||||||||
\(552\) | −41.7140 | + | 11.6511i | −1.77547 | + | 0.495906i | ||||
\(553\) | − | 9.24791i | − | 0.393261i | ||||||
\(554\) | −0.405257 | − | 0.799083i | −0.0172177 | − | 0.0339498i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.7120 | + | 18.7241i | −0.581519 | + | 0.794077i | ||||
\(557\) | − | 22.0135i | − | 0.932744i | −0.884589 | − | 0.466372i | \(-0.845561\pi\) | ||
0.884589 | − | 0.466372i | \(-0.154439\pi\) | |||||||
\(558\) | 5.05505 | − | 21.4703i | 0.213997 | − | 0.908910i | ||||
\(559\) | − | 24.7278i | − | 1.04587i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 11.6607 | − | 5.42004i | 0.492313 | − | 0.228834i | ||||
\(562\) | 26.3865 | − | 13.3820i | 1.11305 | − | 0.564485i | ||||
\(563\) | 9.80727 | 0.413327 | 0.206664 | − | 0.978412i | \(-0.433739\pi\) | ||||
0.206664 | + | 0.978412i | \(0.433739\pi\) | |||||||
\(564\) | −1.24274 | + | 6.22703i | −0.0523289 | + | 0.262205i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 18.5215 | − | 9.39321i | 0.778515 | − | 0.394826i | ||||
\(567\) | −1.90733 | − | 11.1363i | −0.0801002 | − | 0.467681i | ||||
\(568\) | 19.5589 | + | 3.21134i | 0.820673 | + | 0.134745i | ||||
\(569\) | 22.4555i | 0.941384i | 0.882298 | + | 0.470692i | \(0.155996\pi\) | ||||
−0.882298 | + | 0.470692i | \(0.844004\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.92867 | 0.248107 | 0.124054 | − | 0.992276i | \(-0.460411\pi\) | ||||
0.124054 | + | 0.992276i | \(0.460411\pi\) | |||||||
\(572\) | −27.5891 | − | 20.2040i | −1.15356 | − | 0.844773i | ||||
\(573\) | 13.8209 | + | 29.7343i | 0.577378 | + | 1.24217i | ||||
\(574\) | −11.9907 | + | 6.08110i | −0.500481 | + | 0.253820i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −20.5263 | + | 12.4367i | −0.855263 | + | 0.518194i | ||||
\(577\) | − | 39.1587i | − | 1.63020i | −0.579322 | − | 0.815098i | \(-0.696683\pi\) | ||
0.579322 | − | 0.815098i | \(-0.303317\pi\) | |||||||
\(578\) | −7.01754 | − | 13.8371i | −0.291891 | − | 0.575549i | ||||
\(579\) | −6.71200 | + | 3.11984i | −0.278941 | + | 0.129656i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −19.7736 | −0.820347 | ||||||||
\(582\) | −26.7211 | − | 21.0111i | −1.10762 | − | 0.870936i | ||||
\(583\) | 36.4413 | 1.50924 | ||||||||
\(584\) | 2.10554 | − | 12.8239i | 0.0871279 | − | 0.530658i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.93593 | − | 3.51757i | 0.286521 | − | 0.145310i | ||||
\(587\) | −29.3332 | −1.21071 | −0.605356 | − | 0.795955i | \(-0.706969\pi\) | ||||
−0.605356 | + | 0.795955i | \(0.706969\pi\) | |||||||
\(588\) | −18.4260 | − | 3.67731i | −0.759874 | − | 0.151650i | ||||
\(589\) | − | 9.24381i | − | 0.380885i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −15.8484 | + | 7.36659i | −0.651918 | + | 0.303021i | ||||
\(592\) | −7.79260 | − | 24.6133i | −0.320274 | − | 1.01160i | ||||
\(593\) | 24.6525 | 1.01236 | 0.506179 | − | 0.862428i | \(-0.331058\pi\) | ||||
0.506179 | + | 0.862428i | \(0.331058\pi\) | |||||||
\(594\) | −21.7577 | + | 4.49831i | −0.892729 | + | 0.184568i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 14.0893 | − | 19.2393i | 0.577121 | − | 0.788072i | ||||
\(597\) | 29.8740 | − | 13.8859i | 1.22266 | − | 0.568311i | ||||
\(598\) | −63.0580 | + | 31.9800i | −2.57863 | + | 1.30776i | ||||
\(599\) | 29.8638 | 1.22020 | 0.610102 | − | 0.792323i | \(-0.291129\pi\) | ||||
0.610102 | + | 0.792323i | \(0.291129\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.7267 | −0.723085 | −0.361543 | − | 0.932356i | \(-0.617750\pi\) | ||||
−0.361543 | + | 0.932356i | \(0.617750\pi\) | |||||||
\(602\) | 6.92364 | − | 3.51134i | 0.282187 | − | 0.143112i | ||||
\(603\) | 19.5046 | + | 16.4480i | 0.794287 | + | 0.669814i | ||||
\(604\) | 16.2243 | + | 11.8814i | 0.660158 | + | 0.483447i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 21.0240 | − | 26.7375i | 0.854041 | − | 1.08614i | ||||
\(607\) | −25.8174 | −1.04790 | −0.523949 | − | 0.851750i | \(-0.675542\pi\) | ||||
−0.523949 | + | 0.851750i | \(0.675542\pi\) | |||||||
\(608\) | −7.17877 | + | 7.04466i | −0.291137 | + | 0.285699i | ||||
\(609\) | −3.47875 | − | 7.48416i | −0.140966 | − | 0.303274i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.3660i | 0.419363i | ||||||||
\(612\) | −3.47513 | − | 14.3171i | −0.140474 | − | 0.578733i | ||||
\(613\) | −16.6866 | −0.673965 | −0.336982 | − | 0.941511i | \(-0.609406\pi\) | ||||
−0.336982 | + | 0.941511i | \(0.609406\pi\) | |||||||
\(614\) | 7.71815 | − | 3.91428i | 0.311479 | − | 0.157967i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.73937 | − | 10.5938i | 0.0700814 | − | 0.426835i | ||||
\(617\) | −8.69514 | −0.350053 | −0.175027 | − | 0.984564i | \(-0.556001\pi\) | ||||
−0.175027 | + | 0.984564i | \(0.556001\pi\) | |||||||
\(618\) | −11.1534 | + | 14.1845i | −0.448657 | + | 0.570585i | ||||
\(619\) | −20.3727 | −0.818846 | −0.409423 | − | 0.912345i | \(-0.634270\pi\) | ||||
−0.409423 | + | 0.912345i | \(0.634270\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −12.0528 | + | 44.3285i | −0.483663 | + | 1.77884i | ||||
\(622\) | 3.68330 | + | 7.26270i | 0.147687 | + | 0.291208i | ||||
\(623\) | − | 4.59114i | − | 0.183940i | ||||||
\(624\) | −28.8874 | + | 26.4681i | −1.15642 | + | 1.05957i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −27.7230 | + | 14.0598i | −1.10803 | + | 0.561942i | ||||
\(627\) | −8.44351 | + | 3.92467i | −0.337201 | + | 0.156736i | ||||
\(628\) | 2.02242 | − | 2.76166i | 0.0807034 | − | 0.110202i | ||||
\(629\) | 15.8484 | 0.631919 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.51267i | 0.179647i | 0.995958 | + | 0.0898233i | \(0.0286302\pi\) | ||||
−0.995958 | + | 0.0898233i | \(0.971370\pi\) | |||||||
\(632\) | −3.37581 | + | 20.5606i | −0.134282 | + | 0.817856i | ||||
\(633\) | −4.01198 | − | 8.63135i | −0.159462 | − | 0.343065i | ||||
\(634\) | 22.3013 | − | 11.3102i | 0.885699 | − | 0.449184i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 8.17145 | − | 40.9448i | 0.324019 | − | 1.62357i | ||||
\(637\) | −30.6732 | −1.21532 | ||||||||
\(638\) | −14.4743 | + | 7.34070i | −0.573045 | + | 0.290621i | ||||
\(639\) | 13.5529 | − | 16.0714i | 0.536143 | − | 0.635776i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 25.0424i | 0.989114i | 0.869145 | + | 0.494557i | \(0.164670\pi\) | ||||
−0.869145 | + | 0.494557i | \(0.835330\pi\) | |||||||
\(642\) | −12.3256 | + | 15.6752i | −0.486452 | + | 0.618651i | ||||
\(643\) | − | 21.7360i | − | 0.857184i | −0.903498 | − | 0.428592i | \(-0.859010\pi\) | ||
0.903498 | − | 0.428592i | \(-0.140990\pi\) | |||||||
\(644\) | −17.9085 | − | 13.1147i | −0.705693 | − | 0.516793i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.79266 | − | 5.50655i | −0.109876 | − | 0.216652i | ||||
\(647\) | 21.3476i | 0.839259i | 0.907695 | + | 0.419629i | \(0.137840\pi\) | ||||
−0.907695 | + | 0.419629i | \(0.862160\pi\) | |||||||
\(648\) | 0.175357 | + | 25.4552i | 0.00688868 | + | 0.999976i | ||||
\(649\) | 14.8480 | 0.582836 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.2513 | − | 4.76495i | 0.401780 | − | 0.186753i | ||||
\(652\) | −19.2953 | − | 14.1303i | −0.755661 | − | 0.553386i | ||||
\(653\) | 25.9387i | 1.01506i | 0.861634 | + | 0.507530i | \(0.169441\pi\) | ||||
−0.861634 | + | 0.507530i | \(0.830559\pi\) | |||||||
\(654\) | 10.8890 | + | 8.56213i | 0.425793 | + | 0.334806i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 28.8783 | − | 9.14290i | 1.12751 | − | 0.356970i | ||||
\(657\) | −10.5373 | − | 8.88603i | −0.411101 | − | 0.346677i | ||||
\(658\) | −2.90242 | + | 1.47197i | −0.113148 | + | 0.0573834i | ||||
\(659\) | 20.6474i | 0.804307i | 0.915572 | + | 0.402153i | \(0.131738\pi\) | ||||
−0.915572 | + | 0.402153i | \(0.868262\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.31999i | 0.362506i | 0.983437 | + | 0.181253i | \(0.0580152\pi\) | ||||
−0.983437 | + | 0.181253i | \(0.941985\pi\) | |||||||
\(662\) | −4.56804 | − | 9.00724i | −0.177542 | − | 0.350076i | ||||
\(663\) | −10.1377 | − | 21.8101i | −0.393714 | − | 0.847034i | ||||
\(664\) | 43.9620 | + | 7.21805i | 1.70606 | + | 0.280115i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −26.6547 | − | 6.27568i | −1.03285 | − | 0.243178i | ||||
\(667\) | 33.5560i | 1.29929i | ||||||||
\(668\) | 0.941564 | + | 0.689526i | 0.0364302 | + | 0.0266786i | ||||
\(669\) | 5.62865 | + | 12.1094i | 0.217616 | + | 0.468178i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −24.6892 | −0.953115 | ||||||||
\(672\) | −11.5129 | − | 4.32983i | −0.444121 | − | 0.167027i | ||||
\(673\) | − | 37.2520i | − | 1.43596i | −0.696063 | − | 0.717980i | \(-0.745067\pi\) | ||
0.696063 | − | 0.717980i | \(-0.254933\pi\) | |||||||
\(674\) | −2.40479 | + | 1.21960i | −0.0926292 | + | 0.0469771i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.4280 | + | 30.6260i | −0.862616 | + | 1.17792i | ||||
\(677\) | 37.0665i | 1.42458i | 0.701885 | + | 0.712290i | \(0.252342\pi\) | ||||
−0.701885 | + | 0.712290i | \(0.747658\pi\) | |||||||
\(678\) | 17.3940 | − | 22.1211i | 0.668014 | − | 0.849555i | ||||
\(679\) | − | 17.4214i | − | 0.668571i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.40535 | − | 11.6290i | −0.207133 | − | 0.445626i | ||||
\(682\) | −10.0548 | − | 19.8260i | −0.385018 | − | 0.759176i | ||||
\(683\) | 26.0898 | 0.998297 | 0.499149 | − | 0.866516i | \(-0.333646\pi\) | ||||
0.499149 | + | 0.866516i | \(0.333646\pi\) | |||||||
\(684\) | 2.51635 | + | 10.3670i | 0.0962150 | + | 0.396393i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −9.97676 | − | 19.6721i | −0.380914 | − | 0.751085i | ||||
\(687\) | 26.9071 | − | 12.5068i | 1.02657 | − | 0.477165i | ||||
\(688\) | −16.6749 | + | 5.27928i | −0.635723 | + | 0.201271i | ||||
\(689\) | − | 68.1598i | − | 2.59668i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 34.8187 | 1.32457 | 0.662283 | − | 0.749254i | \(-0.269588\pi\) | ||||
0.662283 | + | 0.749254i | \(0.269588\pi\) | |||||||
\(692\) | 19.4483 | + | 14.2424i | 0.739314 | + | 0.541415i | ||||
\(693\) | −8.70484 | − | 7.34070i | −0.330669 | − | 0.278850i | ||||
\(694\) | 0.339347 | + | 0.669123i | 0.0128814 | + | 0.0253995i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.00221 | + | 17.9092i | 0.189608 | + | 0.678845i | ||||
\(697\) | 18.5946i | 0.704323i | ||||||||
\(698\) | 9.29135 | − | 4.71213i | 0.351683 | − | 0.178357i | ||||
\(699\) | −1.02799 | − | 2.21160i | −0.0388820 | − | 0.0836505i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −12.7188 | −0.480383 | −0.240192 | − | 0.970725i | \(-0.577210\pi\) | ||||
−0.240192 | + | 0.970725i | \(0.577210\pi\) | |||||||
\(702\) | 8.41363 | + | 40.6956i | 0.317552 | + | 1.53596i | ||||
\(703\) | −11.4759 | −0.432822 | ||||||||
\(704\) | −7.73419 | + | 22.9178i | −0.291493 | + | 0.863749i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.18336 | − | 14.1641i | −0.270349 | − | 0.533073i | ||||
\(707\) | 17.4321 | 0.655602 | ||||||||
\(708\) | 3.32946 | − | 16.6830i | 0.125129 | − | 0.626984i | ||||
\(709\) | − | 46.7263i | − | 1.75484i | −0.479721 | − | 0.877421i | \(-0.659262\pi\) | ||
0.479721 | − | 0.877421i | \(-0.340738\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 16.8945 | + | 14.2470i | 0.633593 | + | 0.534303i | ||||
\(712\) | −1.67593 | + | 10.2073i | −0.0628080 | + | 0.382536i | ||||
\(713\) | −45.9628 | −1.72132 | ||||||||
\(714\) | 4.66716 | − | 5.93552i | 0.174664 | − | 0.222131i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.977012 | + | 0.715486i | 0.0365127 | + | 0.0267390i | ||||
\(717\) | −6.94058 | − | 14.9319i | −0.259201 | − | 0.557643i | ||||
\(718\) | 10.9369 | + | 21.5653i | 0.408162 | + | 0.804812i | ||||
\(719\) | −9.50673 | −0.354541 | −0.177271 | − | 0.984162i | \(-0.556727\pi\) | ||||
−0.177271 | + | 0.984162i | \(0.556727\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.24791 | −0.344410 | ||||||||
\(722\) | −10.1314 | − | 19.9771i | −0.377052 | − | 0.743469i | ||||
\(723\) | −1.65970 | − | 3.57067i | −0.0617249 | − | 0.132795i | ||||
\(724\) | −11.4370 | − | 8.37552i | −0.425051 | − | 0.311274i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.81412 | − | 3.57890i | 0.104442 | − | 0.132825i | ||||
\(727\) | 31.7629 | 1.17802 | 0.589011 | − | 0.808125i | \(-0.299518\pi\) | ||||
0.589011 | + | 0.808125i | \(0.299518\pi\) | |||||||
\(728\) | −19.8146 | − | 3.25333i | −0.734377 | − | 0.120576i | ||||
\(729\) | 23.2827 | + | 13.6718i | 0.862321 | + | 0.506362i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 10.7369i | − | 0.397119i | ||||||
\(732\) | −5.53620 | + | 27.7403i | −0.204624 | + | 1.02531i | ||||
\(733\) | 15.5852 | 0.575653 | 0.287826 | − | 0.957683i | \(-0.407067\pi\) | ||||
0.287826 | + | 0.957683i | \(0.407067\pi\) | |||||||
\(734\) | −8.95424 | − | 17.6559i | −0.330507 | − | 0.651691i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 35.0280 | + | 35.6948i | 1.29115 | + | 1.31573i | ||||
\(737\) | 25.7135 | 0.947171 | ||||||||
\(738\) | 7.36312 | − | 31.2734i | 0.271040 | − | 1.15119i | ||||
\(739\) | −4.17997 | −0.153763 | −0.0768813 | − | 0.997040i | \(-0.524496\pi\) | ||||
−0.0768813 | + | 0.997040i | \(0.524496\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 7.34070 | + | 15.7927i | 0.269667 | + | 0.580161i | ||||
\(742\) | 19.0844 | − | 9.67869i | 0.700610 | − | 0.355316i | ||||
\(743\) | − | 20.1805i | − | 0.740351i | −0.928962 | − | 0.370176i | \(-0.879298\pi\) | ||
0.928962 | − | 0.370176i | \(-0.120702\pi\) | |||||||
\(744\) | −24.5307 | + | 6.85169i | −0.899341 | + | 0.251195i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 13.8136 | + | 27.2376i | 0.505752 | + | 0.997239i | ||||
\(747\) | 30.4624 | − | 36.1233i | 1.11456 | − | 1.32168i | ||||
\(748\) | −11.9793 | − | 8.77268i | −0.438007 | − | 0.320761i | ||||
\(749\) | −10.2198 | −0.373423 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 19.0316i | − | 0.694474i | −0.937777 | − | 0.347237i | \(-0.887120\pi\) | ||
0.937777 | − | 0.347237i | \(-0.112880\pi\) | |||||||
\(752\) | 6.99018 | − | 2.21310i | 0.254906 | − | 0.0807034i | ||||
\(753\) | 14.9178 | − | 6.93400i | 0.543633 | − | 0.252689i | ||||
\(754\) | 13.7300 | + | 27.0728i | 0.500019 | + | 0.985934i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −10.1998 | + | 8.13455i | −0.370964 | + | 0.295851i | ||||
\(757\) | 4.22227 | 0.153461 | 0.0767305 | − | 0.997052i | \(-0.475552\pi\) | ||||
0.0767305 | + | 0.997052i | \(0.475552\pi\) | |||||||
\(758\) | −7.53395 | − | 14.8554i | −0.273645 | − | 0.539572i | ||||
\(759\) | 19.5145 | + | 41.9834i | 0.708332 | + | 1.52390i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 38.0795i | 1.38038i | 0.723628 | + | 0.690190i | \(0.242473\pi\) | ||||
−0.723628 | + | 0.690190i | \(0.757527\pi\) | |||||||
\(762\) | 32.8673 | − | 41.7994i | 1.19066 | − | 1.51423i | ||||
\(763\) | 7.09931i | 0.257012i | ||||||||
\(764\) | 22.3701 | − | 30.5468i | 0.809321 | − | 1.10515i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 19.9894 | − | 10.1377i | 0.722245 | − | 0.366288i | ||||
\(767\) | − | 27.7717i | − | 1.00278i | ||||||
\(768\) | 24.0158 | + | 13.8290i | 0.866596 | + | 0.499011i | ||||
\(769\) | −16.9600 | −0.611595 | −0.305797 | − | 0.952097i | \(-0.598923\pi\) | ||||
−0.305797 | + | 0.952097i | \(0.598923\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −19.9414 | − | 42.9018i | −0.718172 | − | 1.54507i | ||||
\(772\) | 6.89542 | + | 5.04966i | 0.248172 | + | 0.181741i | ||||
\(773\) | − | 16.3849i | − | 0.589324i | −0.955602 | − | 0.294662i | \(-0.904793\pi\) | ||
0.955602 | − | 0.294662i | \(-0.0952070\pi\) | |||||||
\(774\) | −4.25161 | + | 18.0579i | −0.152821 | + | 0.649076i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −6.35941 | + | 38.7324i | −0.228290 | + | 1.39041i | ||||
\(777\) | −5.91554 | − | 12.7267i | −0.212219 | − | 0.456566i | ||||
\(778\) | −11.8190 | − | 23.3047i | −0.423733 | − | 0.835515i | ||||
\(779\) | − | 13.4644i | − | 0.482413i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 21.1875i | − | 0.758150i | ||||||
\(782\) | −27.3801 | + | 13.8859i | −0.979109 | + | 0.496558i | ||||
\(783\) | 19.0316 | + | 5.17466i | 0.680135 | + | 0.184927i | ||||
\(784\) | 6.54862 | + | 20.6841i | 0.233879 | + | 0.738719i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −24.1098 | − | 18.9578i | −0.859968 | − | 0.676202i | ||||
\(787\) | 25.6833i | 0.915511i | 0.889078 | + | 0.457756i | \(0.151347\pi\) | ||||
−0.889078 | + | 0.457756i | \(0.848653\pi\) | |||||||
\(788\) | 16.2815 | + | 11.9233i | 0.580005 | + | 0.424750i | ||||
\(789\) | 1.96257 | − | 0.912234i | 0.0698695 | − | 0.0324764i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 14.4223 | 0.512799 | ||||||||
\(792\) | 16.6736 | + | 19.4979i | 0.592469 | + | 0.692828i | ||||
\(793\) | 46.1787i | 1.63985i | ||||||||
\(794\) | 11.7686 | + | 23.2052i | 0.417651 | + | 0.823521i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −30.6903 | − | 22.4752i | −1.08779 | − | 0.796611i | ||||
\(797\) | 13.7563i | 0.487274i | 0.969866 | + | 0.243637i | \(0.0783406\pi\) | ||||
−0.969866 | + | 0.243637i | \(0.921659\pi\) | |||||||
\(798\) | −3.37950 | + | 4.29793i | −0.119633 | + | 0.152145i | ||||
\(799\) | 4.50096i | 0.159232i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.38731 | + | 7.07293i | 0.296351 | + | 0.249910i | ||||
\(802\) | −0.231400 | + | 0.117355i | −0.00817102 | + | 0.00414395i | ||||
\(803\) | −13.8918 | −0.490229 | ||||||||
\(804\) | 5.76590 | − | 28.8913i | 0.203348 | − | 1.01892i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −37.0825 | + | 18.8065i | −1.30618 | + | 0.662430i | ||||
\(807\) | 11.4759 | + | 24.6892i | 0.403971 | + | 0.869100i | ||||
\(808\) | −38.7562 | − | 6.36333i | −1.36344 | − | 0.223861i | ||||
\(809\) | 6.42314i | 0.225826i | 0.993605 | + | 0.112913i | \(0.0360181\pi\) | ||||
−0.993605 | + | 0.112913i | \(0.963982\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −40.8353 | −1.43392 | −0.716961 | − | 0.697114i | \(-0.754467\pi\) | ||||
−0.716961 | + | 0.697114i | \(0.754467\pi\) | |||||||
\(812\) | −5.63058 | + | 7.68868i | −0.197594 | + | 0.269820i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −24.6133 | + | 12.4827i | −0.862696 | + | 0.437518i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −12.5430 | + | 11.4926i | −0.439094 | + | 0.402321i | ||||
\(817\) | 7.77462i | 0.271999i | ||||||||
\(818\) | 19.5694 | + | 38.5868i | 0.684228 | + | 1.34916i | ||||
\(819\) | −13.7300 | + | 16.2815i | −0.479767 | + | 0.568923i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 51.8774 | 1.81053 | 0.905267 | − | 0.424844i | \(-0.139671\pi\) | ||||
0.905267 | + | 0.424844i | \(0.139671\pi\) | |||||||
\(822\) | −27.9570 | + | 35.5546i | −0.975111 | + | 1.24011i | ||||
\(823\) | 36.0379 | 1.25620 | 0.628102 | − | 0.778131i | \(-0.283832\pi\) | ||||
0.628102 | + | 0.778131i | \(0.283832\pi\) | |||||||
\(824\) | 20.5606 | + | 3.37581i | 0.716261 | + | 0.117602i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.77594 | − | 3.94359i | 0.270559 | − | 0.137215i | ||||
\(827\) | 29.8501 | 1.03799 | 0.518995 | − | 0.854777i | \(-0.326306\pi\) | ||||
0.518995 | + | 0.854777i | \(0.326306\pi\) | |||||||
\(828\) | 51.5477 | − | 12.5120i | 1.79141 | − | 0.434821i | ||||
\(829\) | − | 22.2287i | − | 0.772035i | −0.922492 | − | 0.386017i | \(-0.873850\pi\) | ||
0.922492 | − | 0.386017i | \(-0.126150\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.462534 | + | 0.995094i | 0.0160451 | + | 0.0345194i | ||||
\(832\) | 42.8656 | + | 14.4660i | 1.48610 | + | 0.501519i | ||||
\(833\) | −13.3185 | −0.461457 | ||||||||
\(834\) | 17.5691 | − | 22.3437i | 0.608368 | − | 0.773699i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 8.67424 | + | 6.35232i | 0.300005 | + | 0.219700i | ||||
\(837\) | −7.08790 | + | 26.0682i | −0.244994 | + | 0.901050i | ||||
\(838\) | 17.6344 | − | 8.94333i | 0.609170 | − | 0.308942i | ||||
\(839\) | −5.17466 | −0.178649 | −0.0893246 | − | 0.996003i | \(-0.528471\pi\) | ||||
−0.0893246 | + | 0.996003i | \(0.528471\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.5933 | −0.503218 | ||||||||
\(842\) | 33.7136 | − | 17.0980i | 1.16185 | − | 0.589235i | ||||
\(843\) | −32.8590 | + | 15.2733i | −1.13172 | + | 0.526042i | ||||
\(844\) | −6.49364 | + | 8.86721i | −0.223520 | + | 0.305222i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.78229 | − | 7.56993i | 0.0612765 | − | 0.260260i | ||||
\(847\) | 2.33334 | 0.0801745 | ||||||||
\(848\) | −45.9628 | + | 14.5519i | −1.57837 | + | 0.499713i | ||||
\(849\) | −23.0647 | + | 10.7208i | −0.791578 | + | 0.367937i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 57.0613i | 1.95604i | ||||||||
\(852\) | −23.8059 | − | 4.75101i | −0.815578 | − | 0.162767i | ||||
\(853\) | −36.3283 | −1.24386 | −0.621929 | − | 0.783073i | \(-0.713651\pi\) | ||||
−0.621929 | + | 0.783073i | \(0.713651\pi\) | |||||||
\(854\) | −12.9298 | + | 6.55737i | −0.442448 | + | 0.224389i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 22.7213 | + | 3.73058i | 0.776599 | + | 0.127509i | ||||
\(857\) | −9.42274 | −0.321875 | −0.160937 | − | 0.986965i | \(-0.551452\pi\) | ||||
−0.160937 | + | 0.986965i | \(0.551452\pi\) | |||||||
\(858\) | 32.9225 | + | 25.8873i | 1.12395 | + | 0.883777i | ||||
\(859\) | −18.0480 | −0.615789 | −0.307894 | − | 0.951421i | \(-0.599624\pi\) | ||||
−0.307894 | + | 0.951421i | \(0.599624\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.9319 | − | 6.94058i | 0.508879 | − | 0.236534i | ||||
\(862\) | 22.2471 | + | 43.8667i | 0.757739 | + | 1.49410i | ||||
\(863\) | 18.3475i | 0.624555i | 0.949991 | + | 0.312278i | \(0.101092\pi\) | ||||
−0.949991 | + | 0.312278i | \(0.898908\pi\) | |||||||
\(864\) | 25.6463 | − | 14.3620i | 0.872505 | − | 0.488605i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 25.0575 | − | 12.7080i | 0.851488 | − | 0.431834i | ||||
\(867\) | 8.00937 | + | 17.2313i | 0.272013 | + | 0.585206i | ||||
\(868\) | −10.5314 | − | 7.71238i | −0.357460 | − | 0.261775i | ||||
\(869\) | 22.2726 | 0.755547 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 48.0946i | − | 1.62962i | ||||||
\(872\) | 2.59150 | − | 15.7837i | 0.0877592 | − | 0.534503i | ||||
\(873\) | 31.8262 | + | 26.8387i | 1.07715 | + | 0.908352i | ||||
\(874\) | 19.8260 | − | 10.0548i | 0.670623 | − | 0.340108i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.11503 | + | 15.6085i | −0.105247 | + | 0.527363i | ||||
\(877\) | −16.5736 | −0.559651 | −0.279826 | − | 0.960051i | \(-0.590277\pi\) | ||||
−0.279826 | + | 0.960051i | \(0.590277\pi\) | |||||||
\(878\) | 3.59960 | − | 1.82555i | 0.121481 | − | 0.0616092i | ||||
\(879\) | −8.63728 | + | 4.01474i | −0.291328 | + | 0.135414i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 25.5865i | − | 0.862031i | −0.902345 | − | 0.431015i | \(-0.858155\pi\) | ||
0.902345 | − | 0.431015i | \(-0.141845\pi\) | |||||||
\(882\) | 22.3996 | + | 5.27385i | 0.754235 | + | 0.177580i | ||||
\(883\) | 21.2127i | 0.713863i | 0.934131 | + | 0.356931i | \(0.116177\pi\) | ||||
−0.934131 | + | 0.356931i | \(0.883823\pi\) | |||||||
\(884\) | −16.4084 | + | 22.4061i | −0.551875 | + | 0.753598i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 8.75403 | + | 17.2611i | 0.294097 | + | 0.579899i | ||||
\(887\) | − | 25.2727i | − | 0.848574i | −0.905528 | − | 0.424287i | \(-0.860525\pi\) | ||
0.905528 | − | 0.424287i | \(-0.139475\pi\) | |||||||
\(888\) | 8.50615 | + | 30.4541i | 0.285448 | + | 1.02197i | ||||
\(889\) | 27.2520 | 0.914004 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 26.8206 | − | 4.59360i | 0.898525 | − | 0.153891i | ||||
\(892\) | 9.11033 | − | 12.4404i | 0.305036 | − | 0.416534i | ||||
\(893\) | − | 3.25915i | − | 0.109063i | ||||||
\(894\) | −18.0525 | + | 22.9586i | −0.603767 | + | 0.767849i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.03650 | + | 14.0563i | 0.0680346 | + | 0.469588i | ||||
\(897\) | 78.5258 | − | 36.5000i | 2.62190 | − | 1.21870i | ||||
\(898\) | 24.1071 | − | 12.2260i | 0.804466 | − | 0.407987i | ||||
\(899\) | 19.7333i | 0.658142i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 29.5953i | − | 0.985962i | ||||||
\(902\) | −14.6457 | − | 28.8783i | −0.487648 | − | 0.961542i | ||||
\(903\) | −8.62198 | + | 4.00762i | −0.286921 | + | 0.133365i | ||||
\(904\) | −32.0647 | − | 5.26465i | −1.06646 | − | 0.175100i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −19.3607 | − | 15.2235i | −0.643217 | − | 0.505768i | ||||
\(907\) | 22.7267i | 0.754626i | 0.926086 | + | 0.377313i | \(0.123152\pi\) | ||||
−0.926086 | + | 0.377313i | \(0.876848\pi\) | |||||||
\(908\) | −8.74890 | + | 11.9468i | −0.290343 | + | 0.396469i | ||||
\(909\) | −26.8552 | + | 31.8458i | −0.890731 | + | 1.05626i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8.92321 | −0.295639 | −0.147820 | − | 0.989014i | \(-0.547226\pi\) | ||||
−0.147820 | + | 0.989014i | \(0.547226\pi\) | |||||||
\(912\) | 9.08243 | − | 8.32180i | 0.300749 | − | 0.275562i | ||||
\(913\) | − | 47.6226i | − | 1.57608i | ||||||
\(914\) | −28.5218 | + | 14.4649i | −0.943416 | + | 0.478456i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −27.6424 | − | 20.2431i | −0.913330 | − | 0.668850i | ||||
\(917\) | − | 15.7189i | − | 0.519084i | ||||||
\(918\) | 3.65324 | + | 17.6702i | 0.120575 | + | 0.583204i | ||||
\(919\) | − | 33.7531i | − | 1.11341i | −0.830710 | − | 0.556706i | \(-0.812065\pi\) | ||
0.830710 | − | 0.556706i | \(-0.187935\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −9.61137 | + | 4.46751i | −0.316705 | + | 0.147209i | ||||
\(922\) | −8.45626 | − | 16.6740i | −0.278492 | − | 0.549129i | ||||
\(923\) | −39.6292 | −1.30441 | ||||||||
\(924\) | −2.57331 | + | 12.8941i | −0.0846556 | + | 0.424185i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 25.9387 | + | 51.1457i | 0.852398 | + | 1.68075i | ||||
\(927\) | 14.2470 | − | 16.8945i | 0.467932 | − | 0.554888i | ||||
\(928\) | 15.3249 | − | 15.0386i | 0.503065 | − | 0.493667i | ||||
\(929\) | 51.1823i | 1.67924i | 0.543177 | + | 0.839618i | \(0.317221\pi\) | ||||
−0.543177 | + | 0.839618i | \(0.682779\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.64393 | 0.316067 | ||||||||
\(932\) | −1.66386 | + | 2.27204i | −0.0545016 | + | 0.0744231i | ||||
\(933\) | −4.20388 | − | 9.04420i | −0.137629 | − | 0.296094i | ||||
\(934\) | −6.55602 | − | 12.9271i | −0.214519 | − | 0.422988i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 36.4689 | − | 31.1862i | 1.19202 | − | 1.01935i | ||||
\(937\) | 56.9974i | 1.86202i | 0.364990 | + | 0.931011i | \(0.381072\pi\) | ||||
−0.364990 | + | 0.931011i | \(0.618928\pi\) | |||||||
\(938\) | 13.4662 | − | 6.82944i | 0.439688 | − | 0.222989i | ||||
\(939\) | 34.5233 | − | 16.0470i | 1.12663 | − | 0.523672i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 37.1960 | 1.21255 | 0.606277 | − | 0.795253i | \(-0.292662\pi\) | ||||
0.606277 | + | 0.795253i | \(0.292662\pi\) | |||||||
\(942\) | −2.59131 | + | 3.29553i | −0.0844295 | + | 0.107374i | ||||
\(943\) | −66.9488 | −2.18015 | ||||||||
\(944\) | −18.7275 | + | 5.92916i | −0.609529 | + | 0.192978i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.45670 | + | 16.6749i | 0.274951 | + | 0.542147i | ||||
\(947\) | −36.5775 | −1.18861 | −0.594305 | − | 0.804240i | \(-0.702573\pi\) | ||||
−0.594305 | + | 0.804240i | \(0.702573\pi\) | |||||||
\(948\) | 4.99432 | − | 25.0251i | 0.162208 | − | 0.812778i | ||||
\(949\) | 25.9831i | 0.843449i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.7717 | + | 12.9087i | −0.900560 | + | 0.418594i | ||||
\(952\) | −8.60358 | − | 1.41261i | −0.278844 | − | 0.0457829i | ||||
\(953\) | −30.3524 | −0.983211 | −0.491606 | − | 0.870818i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870818i | \(0.663590\pi\) | |||||||
\(954\) | −11.7192 | + | 49.7748i | −0.379422 | + | 1.61152i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −11.2338 | + | 15.3400i | −0.363326 | + | 0.496130i | ||||
\(957\) | 18.0248 | − | 8.37821i | 0.582660 | − | 0.270829i | ||||
\(958\) | 20.1096 | + | 39.6519i | 0.649711 | + | 1.28110i | ||||
\(959\) | −23.1806 | −0.748540 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.97070 | 0.128087 | ||||||||
\(962\) | 23.3476 | + | 46.0367i | 0.752758 | + | 1.48428i | ||||
\(963\) | 15.7442 | − | 18.6700i | 0.507350 | − | 0.601632i | ||||
\(964\) | −2.68633 | + | 3.66824i | −0.0865208 | + | 0.118146i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 21.3705 | + | 16.8038i | 0.687583 | + | 0.540654i | ||||
\(967\) | −25.8174 | −0.830232 | −0.415116 | − | 0.909768i | \(-0.636259\pi\) | ||||
−0.415116 | + | 0.909768i | \(0.636259\pi\) | |||||||
\(968\) | −5.18764 | − | 0.851750i | −0.166737 | − | 0.0273763i | ||||
\(969\) | 3.18736 | + | 6.85728i | 0.102393 | + | 0.220287i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 22.9904i | 0.737796i | 0.929470 | + | 0.368898i | \(0.120265\pi\) | ||||
−0.929470 | + | 0.368898i | \(0.879735\pi\) | |||||||
\(972\) | 0.852868 | − | 31.1652i | 0.0273557 | − | 0.999626i | ||||
\(973\) | 14.5675 | 0.467011 | ||||||||
\(974\) | 0.113496 | + | 0.223791i | 0.00363665 | + | 0.00717072i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 31.1400 | − | 9.85897i | 0.996768 | − | 0.315578i | ||||
\(977\) | −36.2952 | −1.16119 | −0.580593 | − | 0.814194i | \(-0.697179\pi\) | ||||
−0.580593 | + | 0.814194i | \(0.697179\pi\) | |||||||
\(978\) | 23.0253 | + | 18.1051i | 0.736269 | + | 0.578936i | ||||
\(979\) | 11.0573 | 0.353393 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.9693 | − | 10.9369i | −0.414079 | − | 0.349189i | ||||
\(982\) | 9.78279 | − | 4.96137i | 0.312181 | − | 0.158324i | ||||
\(983\) | 6.92523i | 0.220881i | 0.993883 | + | 0.110440i | \(0.0352261\pi\) | ||||
−0.993883 | + | 0.110440i | \(0.964774\pi\) | |||||||
\(984\) | −35.7312 | + | 9.98009i | −1.13907 | + | 0.318154i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 5.96165 | + | 11.7551i | 0.189857 | + | 0.374360i | ||||
\(987\) | 3.61437 | − | 1.68001i | 0.115047 | − | 0.0534754i | ||||
\(988\) | 11.8814 | − | 16.2243i | 0.377997 | − | 0.516164i | ||||
\(989\) | 38.6575 | 1.22924 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 42.7182i | − | 1.35699i | −0.734605 | − | 0.678495i | \(-0.762633\pi\) | ||
0.734605 | − | 0.678495i | \(-0.237367\pi\) | |||||||
\(992\) | 20.5989 | + | 20.9910i | 0.654016 | + | 0.666466i | ||||
\(993\) | 5.21367 | + | 11.2167i | 0.165451 | + | 0.355950i | ||||
\(994\) | −5.62734 | − | 11.0960i | −0.178488 | − | 0.351942i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −53.5079 | − | 10.6787i | −1.69546 | − | 0.338368i | ||||
\(997\) | 15.7743 | 0.499579 | 0.249789 | − | 0.968300i | \(-0.419639\pi\) | ||||
0.249789 | + | 0.968300i | \(0.419639\pi\) | |||||||
\(998\) | −3.33947 | − | 6.58474i | −0.105709 | − | 0.208436i | ||||
\(999\) | 32.3629 | + | 8.79941i | 1.02392 | + | 0.278401i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))