Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(699,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, 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("700.699");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.c (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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 699.1 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.699 |
Dual form | 700.2.c.e.699.2 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | − | 1.36603i | −0.258819 | − | 0.965926i | ||||
\(3\) | − | 1.73205i | − | 1.00000i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||
0.866025 | − | 0.500000i | \(-0.166667\pi\) | |||||||
\(4\) | −1.73205 | + | 1.00000i | −0.866025 | + | 0.500000i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.36603 | + | 0.633975i | −0.965926 | + | 0.258819i | ||||
\(7\) | 2.00000 | + | 1.73205i | 0.755929 | + | 0.654654i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.707107 | + | 0.707107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 3.73205i | − | 1.12526i | −0.826710 | − | 0.562628i | \(-0.809790\pi\) | ||
0.826710 | − | 0.562628i | \(-0.190210\pi\) | |||||||
\(12\) | 1.73205 | + | 3.00000i | 0.500000 | + | 0.866025i | ||||
\(13\) | 6.46410 | 1.79282 | 0.896410 | − | 0.443227i | \(-0.146166\pi\) | ||||
0.896410 | + | 0.443227i | \(0.146166\pi\) | |||||||
\(14\) | 1.63397 | − | 3.36603i | 0.436698 | − | 0.899608i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | − | 3.46410i | 0.500000 | − | 0.866025i | ||||
\(17\) | −0.464102 | −0.112561 | −0.0562806 | − | 0.998415i | \(-0.517924\pi\) | ||||
−0.0562806 | + | 0.998415i | \(0.517924\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.00000 | −1.37649 | −0.688247 | − | 0.725476i | \(-0.741620\pi\) | ||||
−0.688247 | + | 0.725476i | \(0.741620\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.00000 | − | 3.46410i | 0.654654 | − | 0.755929i | ||||
\(22\) | −5.09808 | + | 1.36603i | −1.08691 | + | 0.291238i | ||||
\(23\) | 5.46410 | 1.13934 | 0.569672 | − | 0.821872i | \(-0.307070\pi\) | ||||
0.569672 | + | 0.821872i | \(0.307070\pi\) | |||||||
\(24\) | 3.46410 | − | 3.46410i | 0.707107 | − | 0.707107i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.36603 | − | 8.83013i | −0.464016 | − | 1.73173i | ||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | −5.19615 | − | 1.00000i | −0.981981 | − | 0.188982i | ||||
\(29\) | 5.92820 | 1.10084 | 0.550420 | − | 0.834888i | \(-0.314468\pi\) | ||||
0.550420 | + | 0.834888i | \(0.314468\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.00000 | −1.07763 | −0.538816 | − | 0.842424i | \(-0.681128\pi\) | ||||
−0.538816 | + | 0.842424i | \(0.681128\pi\) | |||||||
\(32\) | −5.46410 | − | 1.46410i | −0.965926 | − | 0.258819i | ||||
\(33\) | −6.46410 | −1.12526 | ||||||||
\(34\) | 0.169873 | + | 0.633975i | 0.0291330 | + | 0.108726i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 2.53590i | − | 0.416899i | −0.978033 | − | 0.208450i | \(-0.933158\pi\) | ||
0.978033 | − | 0.208450i | \(-0.0668417\pi\) | |||||||
\(38\) | 2.19615 | + | 8.19615i | 0.356263 | + | 1.32959i | ||||
\(39\) | − | 11.1962i | − | 1.79282i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.46410i | 0.541002i | 0.962720 | + | 0.270501i | \(0.0871893\pi\) | ||||
−0.962720 | + | 0.270501i | \(0.912811\pi\) | |||||||
\(42\) | −5.83013 | − | 2.83013i | −0.899608 | − | 0.436698i | ||||
\(43\) | −2.00000 | −0.304997 | −0.152499 | − | 0.988304i | \(-0.548732\pi\) | ||||
−0.152499 | + | 0.988304i | \(0.548732\pi\) | |||||||
\(44\) | 3.73205 | + | 6.46410i | 0.562628 | + | 0.974500i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.00000 | − | 7.46410i | −0.294884 | − | 1.10052i | ||||
\(47\) | − | 1.73205i | − | 0.252646i | −0.991989 | − | 0.126323i | \(-0.959682\pi\) | ||
0.991989 | − | 0.126323i | \(-0.0403175\pi\) | |||||||
\(48\) | −6.00000 | − | 3.46410i | −0.866025 | − | 0.500000i | ||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.803848i | 0.112561i | ||||||||
\(52\) | −11.1962 | + | 6.46410i | −1.55263 | + | 0.896410i | ||||
\(53\) | − | 2.00000i | − | 0.274721i | −0.990521 | − | 0.137361i | \(-0.956138\pi\) | ||
0.990521 | − | 0.137361i | \(-0.0438619\pi\) | |||||||
\(54\) | −7.09808 | + | 1.90192i | −0.965926 | + | 0.258819i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.535898 | + | 7.46410i | 0.0716124 | + | 0.997433i | ||||
\(57\) | 10.3923i | 1.37649i | ||||||||
\(58\) | −2.16987 | − | 8.09808i | −0.284918 | − | 1.06333i | ||||
\(59\) | −3.46410 | −0.450988 | −0.225494 | − | 0.974245i | \(-0.572400\pi\) | ||||
−0.225494 | + | 0.974245i | \(0.572400\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.53590i | 0.324689i | 0.986734 | + | 0.162344i | \(0.0519055\pi\) | ||||
−0.986734 | + | 0.162344i | \(0.948094\pi\) | |||||||
\(62\) | 2.19615 | + | 8.19615i | 0.278912 | + | 1.04091i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.36603 | + | 8.83013i | 0.291238 | + | 1.08691i | ||||
\(67\) | 3.46410 | 0.423207 | 0.211604 | − | 0.977356i | \(-0.432131\pi\) | ||||
0.211604 | + | 0.977356i | \(0.432131\pi\) | |||||||
\(68\) | 0.803848 | − | 0.464102i | 0.0974808 | − | 0.0562806i | ||||
\(69\) | − | 9.46410i | − | 1.13934i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 0.535898i | − | 0.0635994i | −0.999494 | − | 0.0317997i | \(-0.989876\pi\) | ||
0.999494 | − | 0.0317997i | \(-0.0101239\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.928203 | −0.108638 | −0.0543190 | − | 0.998524i | \(-0.517299\pi\) | ||||
−0.0543190 | + | 0.998524i | \(0.517299\pi\) | |||||||
\(74\) | −3.46410 | + | 0.928203i | −0.402694 | + | 0.107901i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.3923 | − | 6.00000i | 1.19208 | − | 0.688247i | ||||
\(77\) | 6.46410 | − | 7.46410i | 0.736653 | − | 0.850613i | ||||
\(78\) | −15.2942 | + | 4.09808i | −1.73173 | + | 0.464016i | ||||
\(79\) | − | 2.66025i | − | 0.299302i | −0.988739 | − | 0.149651i | \(-0.952185\pi\) | ||
0.988739 | − | 0.149651i | \(-0.0478150\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −9.00000 | −1.00000 | ||||||||
\(82\) | 4.73205 | − | 1.26795i | 0.522568 | − | 0.140022i | ||||
\(83\) | − | 8.53590i | − | 0.936937i | −0.883480 | − | 0.468468i | \(-0.844806\pi\) | ||
0.883480 | − | 0.468468i | \(-0.155194\pi\) | |||||||
\(84\) | −1.73205 | + | 9.00000i | −0.188982 | + | 0.981981i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.732051 | + | 2.73205i | 0.0789391 | + | 0.294605i | ||||
\(87\) | − | 10.2679i | − | 1.10084i | ||||||
\(88\) | 7.46410 | − | 7.46410i | 0.795676 | − | 0.795676i | ||||
\(89\) | − | 9.46410i | − | 1.00319i | −0.865102 | − | 0.501596i | \(-0.832746\pi\) | ||
0.865102 | − | 0.501596i | \(-0.167254\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.9282 | + | 11.1962i | 1.35524 | + | 1.17368i | ||||
\(92\) | −9.46410 | + | 5.46410i | −0.986701 | + | 0.569672i | ||||
\(93\) | 10.3923i | 1.07763i | ||||||||
\(94\) | −2.36603 | + | 0.633975i | −0.244037 | + | 0.0653895i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.53590 | + | 9.46410i | −0.258819 | + | 0.965926i | ||||
\(97\) | −7.39230 | −0.750575 | −0.375287 | − | 0.926908i | \(-0.622456\pi\) | ||||
−0.375287 | + | 0.926908i | \(0.622456\pi\) | |||||||
\(98\) | 9.09808 | − | 3.90192i | 0.919044 | − | 0.394154i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 8.53590i | − | 0.849354i | −0.905345 | − | 0.424677i | \(-0.860388\pi\) | ||
0.905345 | − | 0.424677i | \(-0.139612\pi\) | |||||||
\(102\) | 1.09808 | − | 0.294229i | 0.108726 | − | 0.0291330i | ||||
\(103\) | 17.1962i | 1.69439i | 0.531284 | + | 0.847194i | \(0.321710\pi\) | ||||
−0.531284 | + | 0.847194i | \(0.678290\pi\) | |||||||
\(104\) | 12.9282 | + | 12.9282i | 1.26771 | + | 1.26771i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.73205 | + | 0.732051i | −0.265360 | + | 0.0711031i | ||||
\(107\) | 18.3923 | 1.77805 | 0.889026 | − | 0.457857i | \(-0.151383\pi\) | ||||
0.889026 | + | 0.457857i | \(0.151383\pi\) | |||||||
\(108\) | 5.19615 | + | 9.00000i | 0.500000 | + | 0.866025i | ||||
\(109\) | −15.9282 | −1.52565 | −0.762823 | − | 0.646608i | \(-0.776187\pi\) | ||||
−0.762823 | + | 0.646608i | \(0.776187\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.39230 | −0.416899 | ||||||||
\(112\) | 10.0000 | − | 3.46410i | 0.944911 | − | 0.327327i | ||||
\(113\) | 1.46410i | 0.137731i | 0.997626 | + | 0.0688655i | \(0.0219379\pi\) | ||||
−0.997626 | + | 0.0688655i | \(0.978062\pi\) | |||||||
\(114\) | 14.1962 | − | 3.80385i | 1.32959 | − | 0.356263i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −10.2679 | + | 5.92820i | −0.953355 | + | 0.550420i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.26795 | + | 4.73205i | 0.116724 | + | 0.435621i | ||||
\(119\) | −0.928203 | − | 0.803848i | −0.0850883 | − | 0.0736886i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.92820 | −0.266200 | ||||||||
\(122\) | 3.46410 | − | 0.928203i | 0.313625 | − | 0.0840356i | ||||
\(123\) | 6.00000 | 0.541002 | ||||||||
\(124\) | 10.3923 | − | 6.00000i | 0.933257 | − | 0.538816i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.53590 | −0.757438 | −0.378719 | − | 0.925512i | \(-0.623635\pi\) | ||||
−0.378719 | + | 0.925512i | \(0.623635\pi\) | |||||||
\(128\) | 10.9282 | − | 2.92820i | 0.965926 | − | 0.258819i | ||||
\(129\) | 3.46410i | 0.304997i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.46410 | 0.826882 | 0.413441 | − | 0.910531i | \(-0.364327\pi\) | ||||
0.413441 | + | 0.910531i | \(0.364327\pi\) | |||||||
\(132\) | 11.1962 | − | 6.46410i | 0.974500 | − | 0.562628i | ||||
\(133\) | −12.0000 | − | 10.3923i | −1.04053 | − | 0.901127i | ||||
\(134\) | −1.26795 | − | 4.73205i | −0.109534 | − | 0.408787i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.928203 | − | 0.928203i | −0.0795928 | − | 0.0795928i | ||||
\(137\) | − | 0.392305i | − | 0.0335169i | −0.999860 | − | 0.0167584i | \(-0.994665\pi\) | ||
0.999860 | − | 0.0167584i | \(-0.00533462\pi\) | |||||||
\(138\) | −12.9282 | + | 3.46410i | −1.10052 | + | 0.294884i | ||||
\(139\) | 6.92820 | 0.587643 | 0.293821 | − | 0.955860i | \(-0.405073\pi\) | ||||
0.293821 | + | 0.955860i | \(0.405073\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | −0.252646 | ||||||||
\(142\) | −0.732051 | + | 0.196152i | −0.0614323 | + | 0.0164607i | ||||
\(143\) | − | 24.1244i | − | 2.01738i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.339746 | + | 1.26795i | 0.0281176 | + | 0.104936i | ||||
\(147\) | 12.0000 | − | 1.73205i | 0.989743 | − | 0.142857i | ||||
\(148\) | 2.53590 | + | 4.39230i | 0.208450 | + | 0.361045i | ||||
\(149\) | −16.9282 | −1.38681 | −0.693406 | − | 0.720547i | \(-0.743891\pi\) | ||||
−0.693406 | + | 0.720547i | \(0.743891\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 4.80385i | − | 0.390932i | −0.980711 | − | 0.195466i | \(-0.937378\pi\) | ||
0.980711 | − | 0.195466i | \(-0.0626219\pi\) | |||||||
\(152\) | −12.0000 | − | 12.0000i | −0.973329 | − | 0.973329i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −12.5622 | − | 6.09808i | −1.01229 | − | 0.491397i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 11.1962 | + | 19.3923i | 0.896410 | + | 1.55263i | ||||
\(157\) | 19.8564 | 1.58471 | 0.792357 | − | 0.610058i | \(-0.208854\pi\) | ||||
0.792357 | + | 0.610058i | \(0.208854\pi\) | |||||||
\(158\) | −3.63397 | + | 0.973721i | −0.289103 | + | 0.0774650i | ||||
\(159\) | −3.46410 | −0.274721 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.9282 | + | 9.46410i | 0.861263 | + | 0.745876i | ||||
\(162\) | 3.29423 | + | 12.2942i | 0.258819 | + | 0.965926i | ||||
\(163\) | −20.7846 | −1.62798 | −0.813988 | − | 0.580881i | \(-0.802708\pi\) | ||||
−0.813988 | + | 0.580881i | \(0.802708\pi\) | |||||||
\(164\) | −3.46410 | − | 6.00000i | −0.270501 | − | 0.468521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.6603 | + | 3.12436i | −0.905011 | + | 0.242497i | ||||
\(167\) | 5.19615i | 0.402090i | 0.979582 | + | 0.201045i | \(0.0644338\pi\) | ||||
−0.979582 | + | 0.201045i | \(0.935566\pi\) | |||||||
\(168\) | 12.9282 | − | 0.928203i | 0.997433 | − | 0.0716124i | ||||
\(169\) | 28.7846 | 2.21420 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.46410 | − | 2.00000i | 0.264135 | − | 0.152499i | ||||
\(173\) | 20.3205 | 1.54494 | 0.772470 | − | 0.635051i | \(-0.219021\pi\) | ||||
0.772470 | + | 0.635051i | \(0.219021\pi\) | |||||||
\(174\) | −14.0263 | + | 3.75833i | −1.06333 | + | 0.284918i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −12.9282 | − | 7.46410i | −0.974500 | − | 0.562628i | ||||
\(177\) | 6.00000i | 0.450988i | ||||||||
\(178\) | −12.9282 | + | 3.46410i | −0.969010 | + | 0.259645i | ||||
\(179\) | 14.3923i | 1.07573i | 0.843031 | + | 0.537866i | \(0.180769\pi\) | ||||
−0.843031 | + | 0.537866i | \(0.819231\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.9282i | 0.960946i | 0.877010 | + | 0.480473i | \(0.159535\pi\) | ||||
−0.877010 | + | 0.480473i | \(0.840465\pi\) | |||||||
\(182\) | 10.5622 | − | 21.7583i | 0.782921 | − | 1.61283i | ||||
\(183\) | 4.39230 | 0.324689 | ||||||||
\(184\) | 10.9282 | + | 10.9282i | 0.805638 | + | 0.805638i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 14.1962 | − | 3.80385i | 1.04091 | − | 0.278912i | ||||
\(187\) | 1.73205i | 0.126660i | ||||||||
\(188\) | 1.73205 | + | 3.00000i | 0.126323 | + | 0.218797i | ||||
\(189\) | 9.00000 | − | 10.3923i | 0.654654 | − | 0.755929i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.19615i | 0.231265i | 0.993292 | + | 0.115633i | \(0.0368896\pi\) | ||||
−0.993292 | + | 0.115633i | \(0.963110\pi\) | |||||||
\(192\) | 13.8564 | 1.00000 | ||||||||
\(193\) | 2.53590i | 0.182538i | 0.995826 | + | 0.0912690i | \(0.0290923\pi\) | ||||
−0.995826 | + | 0.0912690i | \(0.970908\pi\) | |||||||
\(194\) | 2.70577 | + | 10.0981i | 0.194263 | + | 0.725000i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.66025 | − | 11.0000i | −0.618590 | − | 0.785714i | ||||
\(197\) | 21.3205i | 1.51902i | 0.650494 | + | 0.759512i | \(0.274562\pi\) | ||||
−0.650494 | + | 0.759512i | \(0.725438\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.46410 | 0.245564 | 0.122782 | − | 0.992434i | \(-0.460818\pi\) | ||||
0.122782 | + | 0.992434i | \(0.460818\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 6.00000i | − | 0.423207i | ||||||
\(202\) | −11.6603 | + | 3.12436i | −0.820413 | + | 0.219829i | ||||
\(203\) | 11.8564 | + | 10.2679i | 0.832157 | + | 0.720669i | ||||
\(204\) | −0.803848 | − | 1.39230i | −0.0562806 | − | 0.0974808i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 23.4904 | − | 6.29423i | 1.63665 | − | 0.438540i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.9282 | − | 22.3923i | 0.896410 | − | 1.55263i | ||||
\(209\) | 22.3923i | 1.54891i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.19615i | 0.495404i | 0.968836 | + | 0.247702i | \(0.0796753\pi\) | ||||
−0.968836 | + | 0.247702i | \(0.920325\pi\) | |||||||
\(212\) | 2.00000 | + | 3.46410i | 0.137361 | + | 0.237915i | ||||
\(213\) | −0.928203 | −0.0635994 | ||||||||
\(214\) | −6.73205 | − | 25.1244i | −0.460194 | − | 1.71747i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 10.3923 | − | 10.3923i | 0.707107 | − | 0.707107i | ||||
\(217\) | −12.0000 | − | 10.3923i | −0.814613 | − | 0.705476i | ||||
\(218\) | 5.83013 | + | 21.7583i | 0.394866 | + | 1.47366i | ||||
\(219\) | 1.60770i | 0.108638i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | −0.201802 | ||||||||
\(222\) | 1.60770 | + | 6.00000i | 0.107901 | + | 0.402694i | ||||
\(223\) | 10.2679i | 0.687593i | 0.939044 | + | 0.343796i | \(0.111713\pi\) | ||||
−0.939044 | + | 0.343796i | \(0.888287\pi\) | |||||||
\(224\) | −8.39230 | − | 12.3923i | −0.560734 | − | 0.827996i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.00000 | − | 0.535898i | 0.133038 | − | 0.0356474i | ||||
\(227\) | 3.33975i | 0.221667i | 0.993839 | + | 0.110833i | \(0.0353520\pi\) | ||||
−0.993839 | + | 0.110833i | \(0.964648\pi\) | |||||||
\(228\) | −10.3923 | − | 18.0000i | −0.688247 | − | 1.19208i | ||||
\(229\) | 15.4641i | 1.02190i | 0.859611 | + | 0.510948i | \(0.170706\pi\) | ||||
−0.859611 | + | 0.510948i | \(0.829294\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.9282 | − | 11.1962i | −0.850613 | − | 0.736653i | ||||
\(232\) | 11.8564 | + | 11.8564i | 0.778411 | + | 0.778411i | ||||
\(233\) | 22.9282i | 1.50208i | 0.660259 | + | 0.751038i | \(0.270447\pi\) | ||||
−0.660259 | + | 0.751038i | \(0.729553\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.00000 | − | 3.46410i | 0.390567 | − | 0.225494i | ||||
\(237\) | −4.60770 | −0.299302 | ||||||||
\(238\) | −0.758330 | + | 1.56218i | −0.0491552 | + | 0.101261i | ||||
\(239\) | 27.9808i | 1.80993i | 0.425491 | + | 0.904963i | \(0.360101\pi\) | ||||
−0.425491 | + | 0.904963i | \(0.639899\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 4.39230i | − | 0.282933i | −0.989943 | − | 0.141467i | \(-0.954818\pi\) | ||
0.989943 | − | 0.141467i | \(-0.0451818\pi\) | |||||||
\(242\) | 1.07180 | + | 4.00000i | 0.0688977 | + | 0.257130i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.53590 | − | 4.39230i | −0.162344 | − | 0.281189i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.19615 | − | 8.19615i | −0.140022 | − | 0.522568i | ||||
\(247\) | −38.7846 | −2.46781 | ||||||||
\(248\) | −12.0000 | − | 12.0000i | −0.762001 | − | 0.762001i | ||||
\(249\) | −14.7846 | −0.936937 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.85641 | 0.117175 | 0.0585877 | − | 0.998282i | \(-0.481340\pi\) | ||||
0.0585877 | + | 0.998282i | \(0.481340\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 20.3923i | − | 1.28205i | ||||||
\(254\) | 3.12436 | + | 11.6603i | 0.196040 | + | 0.731629i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.500000 | − | 0.866025i | ||||
\(257\) | −6.00000 | −0.374270 | −0.187135 | − | 0.982334i | \(-0.559920\pi\) | ||||
−0.187135 | + | 0.982334i | \(0.559920\pi\) | |||||||
\(258\) | 4.73205 | − | 1.26795i | 0.294605 | − | 0.0789391i | ||||
\(259\) | 4.39230 | − | 5.07180i | 0.272925 | − | 0.315146i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.46410 | − | 12.9282i | −0.214013 | − | 0.798707i | ||||
\(263\) | 4.53590 | 0.279695 | 0.139848 | − | 0.990173i | \(-0.455339\pi\) | ||||
0.139848 | + | 0.990173i | \(0.455339\pi\) | |||||||
\(264\) | −12.9282 | − | 12.9282i | −0.795676 | − | 0.795676i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −9.80385 | + | 20.1962i | −0.601112 | + | 1.23831i | ||||
\(267\) | −16.3923 | −1.00319 | ||||||||
\(268\) | −6.00000 | + | 3.46410i | −0.366508 | + | 0.211604i | ||||
\(269\) | 12.0000i | 0.731653i | 0.930683 | + | 0.365826i | \(0.119214\pi\) | ||||
−0.930683 | + | 0.365826i | \(0.880786\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.53590 | 0.154045 | 0.0770224 | − | 0.997029i | \(-0.475459\pi\) | ||||
0.0770224 | + | 0.997029i | \(0.475459\pi\) | |||||||
\(272\) | −0.928203 | + | 1.60770i | −0.0562806 | + | 0.0974808i | ||||
\(273\) | 19.3923 | − | 22.3923i | 1.17368 | − | 1.35524i | ||||
\(274\) | −0.535898 | + | 0.143594i | −0.0323748 | + | 0.00867480i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.46410 | + | 16.3923i | 0.569672 | + | 0.986701i | ||||
\(277\) | − | 24.7846i | − | 1.48916i | −0.667532 | − | 0.744581i | \(-0.732649\pi\) | ||
0.667532 | − | 0.744581i | \(-0.267351\pi\) | |||||||
\(278\) | −2.53590 | − | 9.46410i | −0.152093 | − | 0.567619i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.92820 | 0.353647 | 0.176823 | − | 0.984243i | \(-0.443418\pi\) | ||||
0.176823 | + | 0.984243i | \(0.443418\pi\) | |||||||
\(282\) | 1.09808 | + | 4.09808i | 0.0653895 | + | 0.244037i | ||||
\(283\) | 12.1244i | 0.720718i | 0.932814 | + | 0.360359i | \(0.117346\pi\) | ||||
−0.932814 | + | 0.360359i | \(0.882654\pi\) | |||||||
\(284\) | 0.535898 | + | 0.928203i | 0.0317997 | + | 0.0550787i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −32.9545 | + | 8.83013i | −1.94864 | + | 0.522136i | ||||
\(287\) | −6.00000 | + | 6.92820i | −0.354169 | + | 0.408959i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.7846 | −0.987330 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.8038i | 0.750575i | ||||||||
\(292\) | 1.60770 | − | 0.928203i | 0.0940832 | − | 0.0543190i | ||||
\(293\) | −14.3205 | −0.836613 | −0.418307 | − | 0.908306i | \(-0.637376\pi\) | ||||
−0.418307 | + | 0.908306i | \(0.637376\pi\) | |||||||
\(294\) | −6.75833 | − | 15.7583i | −0.394154 | − | 0.919044i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.07180 | − | 5.07180i | 0.294792 | − | 0.294792i | ||||
\(297\) | −19.3923 | −1.12526 | ||||||||
\(298\) | 6.19615 | + | 23.1244i | 0.358933 | + | 1.33956i | ||||
\(299\) | 35.3205 | 2.04264 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.00000 | − | 3.46410i | −0.230556 | − | 0.199667i | ||||
\(302\) | −6.56218 | + | 1.75833i | −0.377611 | + | 0.101181i | ||||
\(303\) | −14.7846 | −0.849354 | ||||||||
\(304\) | −12.0000 | + | 20.7846i | −0.688247 | + | 1.19208i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 1.73205i | − | 0.0988534i | −0.998778 | − | 0.0494267i | \(-0.984261\pi\) | ||
0.998778 | − | 0.0494267i | \(-0.0157394\pi\) | |||||||
\(308\) | −3.73205 | + | 19.3923i | −0.212653 | + | 1.10498i | ||||
\(309\) | 29.7846 | 1.69439 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −19.8564 | −1.12595 | −0.562977 | − | 0.826473i | \(-0.690344\pi\) | ||||
−0.562977 | + | 0.826473i | \(0.690344\pi\) | |||||||
\(312\) | 22.3923 | − | 22.3923i | 1.26771 | − | 1.26771i | ||||
\(313\) | −24.4641 | −1.38279 | −0.691396 | − | 0.722476i | \(-0.743004\pi\) | ||||
−0.691396 | + | 0.722476i | \(0.743004\pi\) | |||||||
\(314\) | −7.26795 | − | 27.1244i | −0.410154 | − | 1.53072i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.66025 | + | 4.60770i | 0.149651 | + | 0.259203i | ||||
\(317\) | − | 16.9282i | − | 0.950783i | −0.879774 | − | 0.475391i | \(-0.842306\pi\) | ||
0.879774 | − | 0.475391i | \(-0.157694\pi\) | |||||||
\(318\) | 1.26795 | + | 4.73205i | 0.0711031 | + | 0.265360i | ||||
\(319\) | − | 22.1244i | − | 1.23873i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 31.8564i | − | 1.77805i | ||||||
\(322\) | 8.92820 | − | 18.3923i | 0.497549 | − | 1.02496i | ||||
\(323\) | 2.78461 | 0.154940 | ||||||||
\(324\) | 15.5885 | − | 9.00000i | 0.866025 | − | 0.500000i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 7.60770 | + | 28.3923i | 0.421351 | + | 1.57250i | ||||
\(327\) | 27.5885i | 1.52565i | ||||||||
\(328\) | −6.92820 | + | 6.92820i | −0.382546 | + | 0.382546i | ||||
\(329\) | 3.00000 | − | 3.46410i | 0.165395 | − | 0.190982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.60770i | 0.308227i | 0.988053 | + | 0.154113i | \(0.0492521\pi\) | ||||
−0.988053 | + | 0.154113i | \(0.950748\pi\) | |||||||
\(332\) | 8.53590 | + | 14.7846i | 0.468468 | + | 0.811411i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.09808 | − | 1.90192i | 0.388389 | − | 0.104069i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −6.00000 | − | 17.3205i | −0.327327 | − | 0.944911i | ||||
\(337\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(338\) | −10.5359 | − | 39.3205i | −0.573077 | − | 2.13875i | ||||
\(339\) | 2.53590 | 0.137731 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 22.3923i | 1.21261i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0000 | + | 15.5885i | −0.539949 | + | 0.841698i | ||||
\(344\) | −4.00000 | − | 4.00000i | −0.215666 | − | 0.215666i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.43782 | − | 27.7583i | −0.399860 | − | 1.49230i | ||||
\(347\) | −14.2487 | −0.764911 | −0.382455 | − | 0.923974i | \(-0.624921\pi\) | ||||
−0.382455 | + | 0.923974i | \(0.624921\pi\) | |||||||
\(348\) | 10.2679 | + | 17.7846i | 0.550420 | + | 0.953355i | ||||
\(349\) | − | 29.3205i | − | 1.56949i | −0.619818 | − | 0.784745i | \(-0.712794\pi\) | ||
0.619818 | − | 0.784745i | \(-0.287206\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 33.5885i | − | 1.79282i | ||||||
\(352\) | −5.46410 | + | 20.3923i | −0.291238 | + | 1.08691i | ||||
\(353\) | 13.3923 | 0.712800 | 0.356400 | − | 0.934333i | \(-0.384004\pi\) | ||||
0.356400 | + | 0.934333i | \(0.384004\pi\) | |||||||
\(354\) | 8.19615 | − | 2.19615i | 0.435621 | − | 0.116724i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 9.46410 | + | 16.3923i | 0.501596 | + | 0.868790i | ||||
\(357\) | −1.39230 | + | 1.60770i | −0.0736886 | + | 0.0850883i | ||||
\(358\) | 19.6603 | − | 5.26795i | 1.03908 | − | 0.278420i | ||||
\(359\) | − | 9.32051i | − | 0.491918i | −0.969280 | − | 0.245959i | \(-0.920897\pi\) | ||
0.969280 | − | 0.245959i | \(-0.0791028\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.0000 | 0.894737 | ||||||||
\(362\) | 17.6603 | − | 4.73205i | 0.928202 | − | 0.248711i | ||||
\(363\) | 5.07180i | 0.266200i | ||||||||
\(364\) | −33.5885 | − | 6.46410i | −1.76051 | − | 0.338811i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.60770 | − | 6.00000i | −0.0840356 | − | 0.313625i | ||||
\(367\) | 36.1244i | 1.88568i | 0.333251 | + | 0.942838i | \(0.391854\pi\) | ||||
−0.333251 | + | 0.942838i | \(0.608146\pi\) | |||||||
\(368\) | 10.9282 | − | 18.9282i | 0.569672 | − | 0.986701i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.46410 | − | 4.00000i | 0.179847 | − | 0.207670i | ||||
\(372\) | −10.3923 | − | 18.0000i | −0.538816 | − | 0.933257i | ||||
\(373\) | 24.3923i | 1.26299i | 0.775382 | + | 0.631493i | \(0.217557\pi\) | ||||
−0.775382 | + | 0.631493i | \(0.782443\pi\) | |||||||
\(374\) | 2.36603 | − | 0.633975i | 0.122344 | − | 0.0327820i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.46410 | − | 3.46410i | 0.178647 | − | 0.178647i | ||||
\(377\) | 38.3205 | 1.97361 | ||||||||
\(378\) | −17.4904 | − | 8.49038i | −0.899608 | − | 0.436698i | ||||
\(379\) | 26.3923i | 1.35568i | 0.735209 | + | 0.677841i | \(0.237084\pi\) | ||||
−0.735209 | + | 0.677841i | \(0.762916\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.7846i | 0.757438i | ||||||||
\(382\) | 4.36603 | − | 1.16987i | 0.223385 | − | 0.0598559i | ||||
\(383\) | − | 20.5359i | − | 1.04934i | −0.851307 | − | 0.524668i | \(-0.824190\pi\) | ||
0.851307 | − | 0.524668i | \(-0.175810\pi\) | |||||||
\(384\) | −5.07180 | − | 18.9282i | −0.258819 | − | 0.965926i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.46410 | − | 0.928203i | 0.176318 | − | 0.0472443i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 12.8038 | − | 7.39230i | 0.650017 | − | 0.375287i | ||||
\(389\) | −6.85641 | −0.347634 | −0.173817 | − | 0.984778i | \(-0.555610\pi\) | ||||
−0.173817 | + | 0.984778i | \(0.555610\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.53590 | −0.128246 | ||||||||
\(392\) | −11.8564 | + | 15.8564i | −0.598839 | + | 0.800869i | ||||
\(393\) | − | 16.3923i | − | 0.826882i | ||||||
\(394\) | 29.1244 | − | 7.80385i | 1.46726 | − | 0.393152i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.53590 | −0.277839 | −0.138919 | − | 0.990304i | \(-0.544363\pi\) | ||||
−0.138919 | + | 0.990304i | \(0.544363\pi\) | |||||||
\(398\) | −1.26795 | − | 4.73205i | −0.0635566 | − | 0.237196i | ||||
\(399\) | −18.0000 | + | 20.7846i | −0.901127 | + | 1.04053i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.9282 | −1.19492 | −0.597459 | − | 0.801900i | \(-0.703823\pi\) | ||||
−0.597459 | + | 0.801900i | \(0.703823\pi\) | |||||||
\(402\) | −8.19615 | + | 2.19615i | −0.408787 | + | 0.109534i | ||||
\(403\) | −38.7846 | −1.93200 | ||||||||
\(404\) | 8.53590 | + | 14.7846i | 0.424677 | + | 0.735562i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.68653 | − | 19.9545i | 0.480735 | − | 0.990324i | ||||
\(407\) | −9.46410 | −0.469118 | ||||||||
\(408\) | −1.60770 | + | 1.60770i | −0.0795928 | + | 0.0795928i | ||||
\(409\) | − | 31.8564i | − | 1.57520i | −0.616188 | − | 0.787599i | \(-0.711324\pi\) | ||
0.616188 | − | 0.787599i | \(-0.288676\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.679492 | −0.0335169 | ||||||||
\(412\) | −17.1962 | − | 29.7846i | −0.847194 | − | 1.46738i | ||||
\(413\) | −6.92820 | − | 6.00000i | −0.340915 | − | 0.295241i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −35.3205 | − | 9.46410i | −1.73173 | − | 0.464016i | ||||
\(417\) | − | 12.0000i | − | 0.587643i | ||||||
\(418\) | 30.5885 | − | 8.19615i | 1.49613 | − | 0.400887i | ||||
\(419\) | −24.2487 | −1.18463 | −0.592314 | − | 0.805708i | \(-0.701785\pi\) | ||||
−0.592314 | + | 0.805708i | \(0.701785\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0000 | 0.926003 | 0.463002 | − | 0.886357i | \(-0.346772\pi\) | ||||
0.463002 | + | 0.886357i | \(0.346772\pi\) | |||||||
\(422\) | 9.83013 | − | 2.63397i | 0.478523 | − | 0.128220i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.00000 | − | 4.00000i | 0.194257 | − | 0.194257i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.339746 | + | 1.26795i | 0.0164607 | + | 0.0614323i | ||||
\(427\) | −4.39230 | + | 5.07180i | −0.212559 | + | 0.245441i | ||||
\(428\) | −31.8564 | + | 18.3923i | −1.53984 | + | 0.889026i | ||||
\(429\) | −41.7846 | −2.01738 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 17.5885i | − | 0.847206i | −0.905848 | − | 0.423603i | \(-0.860765\pi\) | ||
0.905848 | − | 0.423603i | \(-0.139235\pi\) | |||||||
\(432\) | −18.0000 | − | 10.3923i | −0.866025 | − | 0.500000i | ||||
\(433\) | −4.14359 | −0.199128 | −0.0995642 | − | 0.995031i | \(-0.531745\pi\) | ||||
−0.0995642 | + | 0.995031i | \(0.531745\pi\) | |||||||
\(434\) | −9.80385 | + | 20.1962i | −0.470600 | + | 0.969446i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 27.5885 | − | 15.9282i | 1.32125 | − | 0.762823i | ||||
\(437\) | −32.7846 | −1.56830 | ||||||||
\(438\) | 2.19615 | − | 0.588457i | 0.104936 | − | 0.0281176i | ||||
\(439\) | −15.7128 | −0.749932 | −0.374966 | − | 0.927039i | \(-0.622346\pi\) | ||||
−0.374966 | + | 0.927039i | \(0.622346\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.09808 | + | 4.09808i | 0.0522302 | + | 0.194926i | ||||
\(443\) | 26.0000 | 1.23530 | 0.617649 | − | 0.786454i | \(-0.288085\pi\) | ||||
0.617649 | + | 0.786454i | \(0.288085\pi\) | |||||||
\(444\) | 7.60770 | − | 4.39230i | 0.361045 | − | 0.208450i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 14.0263 | − | 3.75833i | 0.664164 | − | 0.177962i | ||||
\(447\) | 29.3205i | 1.38681i | ||||||||
\(448\) | −13.8564 | + | 16.0000i | −0.654654 | + | 0.755929i | ||||
\(449\) | 1.92820 | 0.0909975 | 0.0454988 | − | 0.998964i | \(-0.485512\pi\) | ||||
0.0454988 | + | 0.998964i | \(0.485512\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.9282 | 0.608765 | ||||||||
\(452\) | −1.46410 | − | 2.53590i | −0.0688655 | − | 0.119279i | ||||
\(453\) | −8.32051 | −0.390932 | ||||||||
\(454\) | 4.56218 | − | 1.22243i | 0.214114 | − | 0.0573716i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −20.7846 | + | 20.7846i | −0.973329 | + | 0.973329i | ||||
\(457\) | 27.4641i | 1.28472i | 0.766405 | + | 0.642358i | \(0.222044\pi\) | ||||
−0.766405 | + | 0.642358i | \(0.777956\pi\) | |||||||
\(458\) | 21.1244 | − | 5.66025i | 0.987076 | − | 0.264486i | ||||
\(459\) | 2.41154i | 0.112561i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 27.7128i | − | 1.29071i | −0.763881 | − | 0.645357i | \(-0.776709\pi\) | ||
0.763881 | − | 0.645357i | \(-0.223291\pi\) | |||||||
\(462\) | −10.5622 | + | 21.7583i | −0.491397 | + | 1.01229i | ||||
\(463\) | −4.39230 | −0.204128 | −0.102064 | − | 0.994778i | \(-0.532545\pi\) | ||||
−0.102064 | + | 0.994778i | \(0.532545\pi\) | |||||||
\(464\) | 11.8564 | − | 20.5359i | 0.550420 | − | 0.953355i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.3205 | − | 8.39230i | 1.45089 | − | 0.388766i | ||||
\(467\) | − | 22.5167i | − | 1.04195i | −0.853573 | − | 0.520973i | \(-0.825569\pi\) | ||
0.853573 | − | 0.520973i | \(-0.174431\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.92820 | + | 6.00000i | 0.319915 | + | 0.277054i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 34.3923i | − | 1.58471i | ||||||
\(472\) | −6.92820 | − | 6.92820i | −0.318896 | − | 0.318896i | ||||
\(473\) | 7.46410i | 0.343200i | ||||||||
\(474\) | 1.68653 | + | 6.29423i | 0.0774650 | + | 0.289103i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.41154 | + | 0.464102i | 0.110533 | + | 0.0212721i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 38.2224 | − | 10.2417i | 1.74825 | − | 0.468443i | ||||
\(479\) | 37.1769 | 1.69866 | 0.849328 | − | 0.527865i | \(-0.177007\pi\) | ||||
0.849328 | + | 0.527865i | \(0.177007\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 16.3923i | − | 0.747425i | ||||||
\(482\) | −6.00000 | + | 1.60770i | −0.273293 | + | 0.0732285i | ||||
\(483\) | 16.3923 | − | 18.9282i | 0.745876 | − | 0.861263i | ||||
\(484\) | 5.07180 | − | 2.92820i | 0.230536 | − | 0.133100i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.7846 | 1.30436 | 0.652178 | − | 0.758066i | \(-0.273856\pi\) | ||||
0.652178 | + | 0.758066i | \(0.273856\pi\) | |||||||
\(488\) | −5.07180 | + | 5.07180i | −0.229589 | + | 0.229589i | ||||
\(489\) | 36.0000i | 1.62798i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 34.1244i | 1.54001i | 0.638037 | + | 0.770005i | \(0.279746\pi\) | ||||
−0.638037 | + | 0.770005i | \(0.720254\pi\) | |||||||
\(492\) | −10.3923 | + | 6.00000i | −0.468521 | + | 0.270501i | ||||
\(493\) | −2.75129 | −0.123912 | ||||||||
\(494\) | 14.1962 | + | 52.9808i | 0.638715 | + | 2.38372i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.0000 | + | 20.7846i | −0.538816 | + | 0.933257i | ||||
\(497\) | 0.928203 | − | 1.07180i | 0.0416356 | − | 0.0480767i | ||||
\(498\) | 5.41154 | + | 20.1962i | 0.242497 | + | 0.905011i | ||||
\(499\) | − | 5.58846i | − | 0.250174i | −0.992146 | − | 0.125087i | \(-0.960079\pi\) | ||
0.992146 | − | 0.125087i | \(-0.0399210\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 9.00000 | 0.402090 | ||||||||
\(502\) | −0.679492 | − | 2.53590i | −0.0303272 | − | 0.113183i | ||||
\(503\) | − | 15.5885i | − | 0.695055i | −0.937670 | − | 0.347527i | \(-0.887021\pi\) | ||
0.937670 | − | 0.347527i | \(-0.112979\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −27.8564 | + | 7.46410i | −1.23837 | + | 0.331820i | ||||
\(507\) | − | 49.8564i | − | 2.21420i | ||||||
\(508\) | 14.7846 | − | 8.53590i | 0.655961 | − | 0.378719i | ||||
\(509\) | 1.85641i | 0.0822838i | 0.999153 | + | 0.0411419i | \(0.0130996\pi\) | ||||
−0.999153 | + | 0.0411419i | \(0.986900\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.85641 | − | 1.60770i | −0.0821226 | − | 0.0711202i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.707107 | + | 0.707107i | ||||
\(513\) | 31.1769i | 1.37649i | ||||||||
\(514\) | 2.19615 | + | 8.19615i | 0.0968681 | + | 0.361517i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.46410 | − | 6.00000i | −0.152499 | − | 0.264135i | ||||
\(517\) | −6.46410 | −0.284291 | ||||||||
\(518\) | −8.53590 | − | 4.14359i | −0.375046 | − | 0.182059i | ||||
\(519\) | − | 35.1962i | − | 1.54494i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.3923i | 1.50675i | 0.657589 | + | 0.753377i | \(0.271576\pi\) | ||||
−0.657589 | + | 0.753377i | \(0.728424\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 24.2487i | − | 1.06032i | −0.847897 | − | 0.530161i | \(-0.822131\pi\) | ||
0.847897 | − | 0.530161i | \(-0.177869\pi\) | |||||||
\(524\) | −16.3923 | + | 9.46410i | −0.716101 | + | 0.413441i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.66025 | − | 6.19615i | −0.0723905 | − | 0.270165i | ||||
\(527\) | 2.78461 | 0.121300 | ||||||||
\(528\) | −12.9282 | + | 22.3923i | −0.562628 | + | 0.974500i | ||||
\(529\) | 6.85641 | 0.298105 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 31.1769 | + | 6.00000i | 1.35169 | + | 0.260133i | ||||
\(533\) | 22.3923i | 0.969918i | ||||||||
\(534\) | 6.00000 | + | 22.3923i | 0.259645 | + | 0.969010i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 6.92820 | + | 6.92820i | 0.299253 | + | 0.299253i | ||||
\(537\) | 24.9282 | 1.07573 | ||||||||
\(538\) | 16.3923 | − | 4.39230i | 0.706722 | − | 0.189366i | ||||
\(539\) | 25.8564 | − | 3.73205i | 1.11371 | − | 0.160751i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.7846 | −1.45251 | −0.726257 | − | 0.687423i | \(-0.758742\pi\) | ||||
−0.726257 | + | 0.687423i | \(0.758742\pi\) | |||||||
\(542\) | −0.928203 | − | 3.46410i | −0.0398697 | − | 0.148796i | ||||
\(543\) | 22.3923 | 0.960946 | ||||||||
\(544\) | 2.53590 | + | 0.679492i | 0.108726 | + | 0.0291330i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −37.6865 | − | 18.2942i | −1.61283 | − | 0.782921i | ||||
\(547\) | 14.5359 | 0.621510 | 0.310755 | − | 0.950490i | \(-0.399418\pi\) | ||||
0.310755 | + | 0.950490i | \(0.399418\pi\) | |||||||
\(548\) | 0.392305 | + | 0.679492i | 0.0167584 | + | 0.0290265i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.5692 | −1.51530 | ||||||||
\(552\) | 18.9282 | − | 18.9282i | 0.805638 | − | 0.805638i | ||||
\(553\) | 4.60770 | − | 5.32051i | 0.195939 | − | 0.226251i | ||||
\(554\) | −33.8564 | + | 9.07180i | −1.43842 | + | 0.385424i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.0000 | + | 6.92820i | −0.508913 | + | 0.293821i | ||||
\(557\) | 5.85641i | 0.248144i | 0.992273 | + | 0.124072i | \(0.0395954\pi\) | ||||
−0.992273 | + | 0.124072i | \(0.960405\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.9282 | −0.546805 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.00000 | 0.126660 | ||||||||
\(562\) | −2.16987 | − | 8.09808i | −0.0915306 | − | 0.341597i | ||||
\(563\) | 43.1769i | 1.81969i | 0.414948 | + | 0.909845i | \(0.363800\pi\) | ||||
−0.414948 | + | 0.909845i | \(0.636200\pi\) | |||||||
\(564\) | 5.19615 | − | 3.00000i | 0.218797 | − | 0.126323i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 16.5622 | − | 4.43782i | 0.696160 | − | 0.186536i | ||||
\(567\) | −18.0000 | − | 15.5885i | −0.755929 | − | 0.654654i | ||||
\(568\) | 1.07180 | − | 1.07180i | 0.0449716 | − | 0.0449716i | ||||
\(569\) | −20.9282 | −0.877356 | −0.438678 | − | 0.898644i | \(-0.644553\pi\) | ||||
−0.438678 | + | 0.898644i | \(0.644553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 41.3205i | 1.72921i | 0.502453 | + | 0.864605i | \(0.332431\pi\) | ||||
−0.502453 | + | 0.864605i | \(0.667569\pi\) | |||||||
\(572\) | 24.1244 | + | 41.7846i | 1.00869 | + | 1.74710i | ||||
\(573\) | 5.53590 | 0.231265 | ||||||||
\(574\) | 11.6603 | + | 5.66025i | 0.486690 | + | 0.236254i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.39230 | 0.0579624 | 0.0289812 | − | 0.999580i | \(-0.490774\pi\) | ||||
0.0289812 | + | 0.999580i | \(0.490774\pi\) | |||||||
\(578\) | 6.14359 | + | 22.9282i | 0.255540 | + | 0.953688i | ||||
\(579\) | 4.39230 | 0.182538 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.7846 | − | 17.0718i | 0.613369 | − | 0.708257i | ||||
\(582\) | 17.4904 | − | 4.68653i | 0.725000 | − | 0.194263i | ||||
\(583\) | −7.46410 | −0.309132 | ||||||||
\(584\) | −1.85641 | − | 1.85641i | −0.0768186 | − | 0.0768186i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.24167 | + | 19.5622i | 0.216531 | + | 0.808106i | ||||
\(587\) | − | 27.4641i | − | 1.13356i | −0.823868 | − | 0.566782i | \(-0.808188\pi\) | ||
0.823868 | − | 0.566782i | \(-0.191812\pi\) | |||||||
\(588\) | −19.0526 | + | 15.0000i | −0.785714 | + | 0.618590i | ||||
\(589\) | 36.0000 | 1.48335 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 36.9282 | 1.51902 | ||||||||
\(592\) | −8.78461 | − | 5.07180i | −0.361045 | − | 0.208450i | ||||
\(593\) | 23.5359 | 0.966504 | 0.483252 | − | 0.875481i | \(-0.339456\pi\) | ||||
0.483252 | + | 0.875481i | \(0.339456\pi\) | |||||||
\(594\) | 7.09808 | + | 26.4904i | 0.291238 | + | 1.08691i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 29.3205 | − | 16.9282i | 1.20101 | − | 0.693406i | ||||
\(597\) | − | 6.00000i | − | 0.245564i | ||||||
\(598\) | −12.9282 | − | 48.2487i | −0.528674 | − | 1.97304i | ||||
\(599\) | 14.1244i | 0.577106i | 0.957464 | + | 0.288553i | \(0.0931741\pi\) | ||||
−0.957464 | + | 0.288553i | \(0.906826\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 26.7846i | 1.09257i | 0.837600 | + | 0.546284i | \(0.183958\pi\) | ||||
−0.837600 | + | 0.546284i | \(0.816042\pi\) | |||||||
\(602\) | −3.26795 | + | 6.73205i | −0.133192 | + | 0.274378i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.80385 | + | 8.32051i | 0.195466 | + | 0.338557i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.41154 | + | 20.1962i | 0.219829 | + | 0.820413i | ||||
\(607\) | − | 18.8038i | − | 0.763225i | −0.924322 | − | 0.381612i | \(-0.875369\pi\) | ||
0.924322 | − | 0.381612i | \(-0.124631\pi\) | |||||||
\(608\) | 32.7846 | + | 8.78461i | 1.32959 | + | 0.356263i | ||||
\(609\) | 17.7846 | − | 20.5359i | 0.720669 | − | 0.832157i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 11.1962i | − | 0.452948i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.0000i | 0.403896i | 0.979396 | + | 0.201948i | \(0.0647272\pi\) | ||||
−0.979396 | + | 0.201948i | \(0.935273\pi\) | |||||||
\(614\) | −2.36603 | + | 0.633975i | −0.0954850 | + | 0.0255851i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 27.8564 | − | 2.00000i | 1.12237 | − | 0.0805823i | ||||
\(617\) | − | 9.07180i | − | 0.365217i | −0.983186 | − | 0.182608i | \(-0.941546\pi\) | ||
0.983186 | − | 0.182608i | \(-0.0584540\pi\) | |||||||
\(618\) | −10.9019 | − | 40.6865i | −0.438540 | − | 1.63665i | ||||
\(619\) | −35.3205 | −1.41965 | −0.709826 | − | 0.704378i | \(-0.751226\pi\) | ||||
−0.709826 | + | 0.704378i | \(0.751226\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 28.3923i | − | 1.13934i | ||||||
\(622\) | 7.26795 | + | 27.1244i | 0.291418 | + | 1.08759i | ||||
\(623\) | 16.3923 | − | 18.9282i | 0.656744 | − | 0.758342i | ||||
\(624\) | −38.7846 | − | 22.3923i | −1.55263 | − | 0.896410i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.95448 | + | 33.4186i | 0.357893 | + | 1.33568i | ||||
\(627\) | 38.7846 | 1.54891 | ||||||||
\(628\) | −34.3923 | + | 19.8564i | −1.37240 | + | 0.792357i | ||||
\(629\) | 1.17691i | 0.0469267i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.9090i | 1.07123i | 0.844463 | + | 0.535614i | \(0.179920\pi\) | ||||
−0.844463 | + | 0.535614i | \(0.820080\pi\) | |||||||
\(632\) | 5.32051 | − | 5.32051i | 0.211638 | − | 0.211638i | ||||
\(633\) | 12.4641 | 0.495404 | ||||||||
\(634\) | −23.1244 | + | 6.19615i | −0.918385 | + | 0.246081i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 6.00000 | − | 3.46410i | 0.237915 | − | 0.137361i | ||||
\(637\) | 6.46410 | + | 44.7846i | 0.256117 | + | 1.77443i | ||||
\(638\) | −30.2224 | + | 8.09808i | −1.19652 | + | 0.320606i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.92820 | −0.194652 | −0.0973262 | − | 0.995253i | \(-0.531029\pi\) | ||||
−0.0973262 | + | 0.995253i | \(0.531029\pi\) | |||||||
\(642\) | −43.5167 | + | 11.6603i | −1.71747 | + | 0.460194i | ||||
\(643\) | 31.0526i | 1.22459i | 0.790628 | + | 0.612297i | \(0.209754\pi\) | ||||
−0.790628 | + | 0.612297i | \(0.790246\pi\) | |||||||
\(644\) | −28.3923 | − | 5.46410i | −1.11881 | − | 0.215316i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.01924 | − | 3.80385i | −0.0401014 | − | 0.149660i | ||||
\(647\) | 10.3923i | 0.408564i | 0.978912 | + | 0.204282i | \(0.0654859\pi\) | ||||
−0.978912 | + | 0.204282i | \(0.934514\pi\) | |||||||
\(648\) | −18.0000 | − | 18.0000i | −0.707107 | − | 0.707107i | ||||
\(649\) | 12.9282i | 0.507476i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −18.0000 | + | 20.7846i | −0.705476 | + | 0.814613i | ||||
\(652\) | 36.0000 | − | 20.7846i | 1.40987 | − | 0.813988i | ||||
\(653\) | − | 38.3923i | − | 1.50241i | −0.660071 | − | 0.751203i | \(-0.729474\pi\) | ||
0.660071 | − | 0.751203i | \(-0.270526\pi\) | |||||||
\(654\) | 37.6865 | − | 10.0981i | 1.47366 | − | 0.394866i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 12.0000 | + | 6.92820i | 0.468521 | + | 0.270501i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.83013 | − | 2.83013i | −0.227282 | − | 0.110330i | ||||
\(659\) | − | 20.8038i | − | 0.810403i | −0.914227 | − | 0.405201i | \(-0.867201\pi\) | ||
0.914227 | − | 0.405201i | \(-0.132799\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 15.7128i | − | 0.611158i | −0.952167 | − | 0.305579i | \(-0.901150\pi\) | ||
0.952167 | − | 0.305579i | \(-0.0988499\pi\) | |||||||
\(662\) | 7.66025 | − | 2.05256i | 0.297724 | − | 0.0797750i | ||||
\(663\) | 5.19615i | 0.201802i | ||||||||
\(664\) | 17.0718 | − | 17.0718i | 0.662514 | − | 0.662514i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 32.3923 | 1.25424 | ||||||||
\(668\) | −5.19615 | − | 9.00000i | −0.201045 | − | 0.348220i | ||||
\(669\) | 17.7846 | 0.687593 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.46410 | 0.365358 | ||||||||
\(672\) | −21.4641 | + | 14.5359i | −0.827996 | + | 0.560734i | ||||
\(673\) | − | 49.1769i | − | 1.89563i | −0.318820 | − | 0.947815i | \(-0.603286\pi\) | ||
0.318820 | − | 0.947815i | \(-0.396714\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −49.8564 | + | 28.7846i | −1.91755 | + | 1.10710i | ||||
\(677\) | 4.60770 | 0.177088 | 0.0885441 | − | 0.996072i | \(-0.471779\pi\) | ||||
0.0885441 | + | 0.996072i | \(0.471779\pi\) | |||||||
\(678\) | −0.928203 | − | 3.46410i | −0.0356474 | − | 0.133038i | ||||
\(679\) | −14.7846 | − | 12.8038i | −0.567381 | − | 0.491367i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.78461 | 0.221667 | ||||||||
\(682\) | 30.5885 | − | 8.19615i | 1.17129 | − | 0.313847i | ||||
\(683\) | 27.3205 | 1.04539 | 0.522695 | − | 0.852520i | \(-0.324927\pi\) | ||||
0.522695 | + | 0.852520i | \(0.324927\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 24.9545 | + | 7.95448i | 0.952767 | + | 0.303704i | ||||
\(687\) | 26.7846 | 1.02190 | ||||||||
\(688\) | −4.00000 | + | 6.92820i | −0.152499 | + | 0.264135i | ||||
\(689\) | − | 12.9282i | − | 0.492525i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 46.6410 | 1.77431 | 0.887154 | − | 0.461474i | \(-0.152679\pi\) | ||||
0.887154 | + | 0.461474i | \(0.152679\pi\) | |||||||
\(692\) | −35.1962 | + | 20.3205i | −1.33796 | + | 0.772470i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.21539 | + | 19.4641i | 0.197974 | + | 0.738847i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 20.5359 | − | 20.5359i | 0.778411 | − | 0.778411i | ||||
\(697\) | − | 1.60770i | − | 0.0608958i | ||||||
\(698\) | −40.0526 | + | 10.7321i | −1.51601 | + | 0.406214i | ||||
\(699\) | 39.7128 | 1.50208 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.78461 | 0.142943 | 0.0714714 | − | 0.997443i | \(-0.477231\pi\) | ||||
0.0714714 | + | 0.997443i | \(0.477231\pi\) | |||||||
\(702\) | −45.8827 | + | 12.2942i | −1.73173 | + | 0.464016i | ||||
\(703\) | 15.2154i | 0.573859i | ||||||||
\(704\) | 29.8564 | 1.12526 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.90192 | − | 18.2942i | −0.184486 | − | 0.688512i | ||||
\(707\) | 14.7846 | − | 17.0718i | 0.556032 | − | 0.642051i | ||||
\(708\) | −6.00000 | − | 10.3923i | −0.225494 | − | 0.390567i | ||||
\(709\) | −21.0000 | −0.788672 | −0.394336 | − | 0.918966i | \(-0.629025\pi\) | ||||
−0.394336 | + | 0.918966i | \(0.629025\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.9282 | − | 18.9282i | 0.709364 | − | 0.709364i | ||||
\(713\) | −32.7846 | −1.22779 | ||||||||
\(714\) | 2.70577 | + | 1.31347i | 0.101261 | + | 0.0491552i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −14.3923 | − | 24.9282i | −0.537866 | − | 0.931611i | ||||
\(717\) | 48.4641 | 1.80993 | ||||||||
\(718\) | −12.7321 | + | 3.41154i | −0.475156 | + | 0.127318i | ||||
\(719\) | −45.4641 | −1.69552 | −0.847762 | − | 0.530376i | \(-0.822051\pi\) | ||||
−0.847762 | + | 0.530376i | \(0.822051\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.7846 | + | 34.3923i | −1.10924 | + | 1.28084i | ||||
\(722\) | −6.22243 | − | 23.2224i | −0.231575 | − | 0.864249i | ||||
\(723\) | −7.60770 | −0.282933 | ||||||||
\(724\) | −12.9282 | − | 22.3923i | −0.480473 | − | 0.832203i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.92820 | − | 1.85641i | 0.257130 | − | 0.0688977i | ||||
\(727\) | − | 34.3923i | − | 1.27554i | −0.770227 | − | 0.637770i | \(-0.779857\pi\) | ||
0.770227 | − | 0.637770i | \(-0.220143\pi\) | |||||||
\(728\) | 3.46410 | + | 48.2487i | 0.128388 | + | 1.78822i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.928203 | 0.0343308 | ||||||||
\(732\) | −7.60770 | + | 4.39230i | −0.281189 | + | 0.162344i | ||||
\(733\) | 18.4641 | 0.681987 | 0.340994 | − | 0.940066i | \(-0.389237\pi\) | ||||
0.340994 | + | 0.940066i | \(0.389237\pi\) | |||||||
\(734\) | 49.3468 | − | 13.2224i | 1.82142 | − | 0.488049i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −29.8564 | − | 8.00000i | −1.10052 | − | 0.294884i | ||||
\(737\) | − | 12.9282i | − | 0.476216i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 7.73205i | − | 0.284428i | −0.989836 | − | 0.142214i | \(-0.954578\pi\) | ||
0.989836 | − | 0.142214i | \(-0.0454221\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 67.1769i | 2.46781i | ||||||||
\(742\) | −6.73205 | − | 3.26795i | −0.247141 | − | 0.119970i | ||||
\(743\) | −9.60770 | −0.352472 | −0.176236 | − | 0.984348i | \(-0.556392\pi\) | ||||
−0.176236 | + | 0.984348i | \(0.556392\pi\) | |||||||
\(744\) | −20.7846 | + | 20.7846i | −0.762001 | + | 0.762001i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 33.3205 | − | 8.92820i | 1.21995 | − | 0.326885i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.73205 | − | 3.00000i | −0.0633300 | − | 0.109691i | ||||
\(749\) | 36.7846 | + | 31.8564i | 1.34408 | + | 1.16401i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 5.58846i | − | 0.203926i | −0.994788 | − | 0.101963i | \(-0.967488\pi\) | ||
0.994788 | − | 0.101963i | \(-0.0325123\pi\) | |||||||
\(752\) | −6.00000 | − | 3.46410i | −0.218797 | − | 0.126323i | ||||
\(753\) | − | 3.21539i | − | 0.117175i | ||||||
\(754\) | −14.0263 | − | 52.3468i | −0.510807 | − | 1.90636i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −5.19615 | + | 27.0000i | −0.188982 | + | 0.981981i | ||||
\(757\) | 10.1436i | 0.368675i | 0.982863 | + | 0.184338i | \(0.0590140\pi\) | ||||
−0.982863 | + | 0.184338i | \(0.940986\pi\) | |||||||
\(758\) | 36.0526 | − | 9.66025i | 1.30949 | − | 0.350876i | ||||
\(759\) | −35.3205 | −1.28205 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.24871i | 0.226516i | 0.993566 | + | 0.113258i | \(0.0361286\pi\) | ||||
−0.993566 | + | 0.113258i | \(0.963871\pi\) | |||||||
\(762\) | 20.1962 | − | 5.41154i | 0.731629 | − | 0.196040i | ||||
\(763\) | −31.8564 | − | 27.5885i | −1.15328 | − | 0.998769i | ||||
\(764\) | −3.19615 | − | 5.53590i | −0.115633 | − | 0.200282i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.0526 | + | 7.51666i | −1.01358 | + | 0.271588i | ||||
\(767\) | −22.3923 | −0.808539 | ||||||||
\(768\) | −24.0000 | + | 13.8564i | −0.866025 | + | 0.500000i | ||||
\(769\) | − | 18.0000i | − | 0.649097i | −0.945869 | − | 0.324548i | \(-0.894788\pi\) | ||
0.945869 | − | 0.324548i | \(-0.105212\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.3923i | 0.374270i | ||||||||
\(772\) | −2.53590 | − | 4.39230i | −0.0912690 | − | 0.158083i | ||||
\(773\) | −12.4641 | −0.448303 | −0.224151 | − | 0.974554i | \(-0.571961\pi\) | ||||
−0.224151 | + | 0.974554i | \(0.571961\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −14.7846 | − | 14.7846i | −0.530737 | − | 0.530737i | ||||
\(777\) | −8.78461 | − | 7.60770i | −0.315146 | − | 0.272925i | ||||
\(778\) | 2.50962 | + | 9.36603i | 0.0899742 | + | 0.335788i | ||||
\(779\) | − | 20.7846i | − | 0.744686i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.00000 | −0.0715656 | ||||||||
\(782\) | 0.928203 | + | 3.46410i | 0.0331925 | + | 0.123876i | ||||
\(783\) | − | 30.8038i | − | 1.10084i | ||||||
\(784\) | 26.0000 | + | 10.3923i | 0.928571 | + | 0.371154i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −22.3923 | + | 6.00000i | −0.798707 | + | 0.214013i | ||||
\(787\) | 15.3397i | 0.546803i | 0.961900 | + | 0.273401i | \(0.0881487\pi\) | ||||
−0.961900 | + | 0.273401i | \(0.911851\pi\) | |||||||
\(788\) | −21.3205 | − | 36.9282i | −0.759512 | − | 1.31551i | ||||
\(789\) | − | 7.85641i | − | 0.279695i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.53590 | + | 2.92820i | −0.0901662 | + | 0.104115i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.3923i | 0.582108i | ||||||||
\(794\) | 2.02628 | + | 7.56218i | 0.0719100 | + | 0.268372i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.00000 | + | 3.46410i | −0.212664 | + | 0.122782i | ||||
\(797\) | −40.1769 | −1.42314 | −0.711570 | − | 0.702616i | \(-0.752015\pi\) | ||||
−0.711570 | + | 0.702616i | \(0.752015\pi\) | |||||||
\(798\) | 34.9808 | + | 16.9808i | 1.23831 | + | 0.601112i | ||||
\(799\) | 0.803848i | 0.0284381i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.75833 | + | 32.6865i | 0.309267 | + | 1.15420i | ||||
\(803\) | 3.46410i | 0.122245i | ||||||||
\(804\) | 6.00000 | + | 10.3923i | 0.211604 | + | 0.366508i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 14.1962 | + | 52.9808i | 0.500038 | + | 1.86617i | ||||
\(807\) | 20.7846 | 0.731653 | ||||||||
\(808\) | 17.0718 | − | 17.0718i | 0.600584 | − | 0.600584i | ||||
\(809\) | 5.92820 | 0.208425 | 0.104212 | − | 0.994555i | \(-0.466768\pi\) | ||||
0.104212 | + | 0.994555i | \(0.466768\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 42.9282 | 1.50741 | 0.753707 | − | 0.657211i | \(-0.228264\pi\) | ||||
0.753707 | + | 0.657211i | \(0.228264\pi\) | |||||||
\(812\) | −30.8038 | − | 5.92820i | −1.08100 | − | 0.208039i | ||||
\(813\) | − | 4.39230i | − | 0.154045i | ||||||
\(814\) | 3.46410 | + | 12.9282i | 0.121417 | + | 0.453133i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 2.78461 | + | 1.60770i | 0.0974808 | + | 0.0562806i | ||||
\(817\) | 12.0000 | 0.419827 | ||||||||
\(818\) | −43.5167 | + | 11.6603i | −1.52152 | + | 0.407691i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.7846 | −0.481086 | −0.240543 | − | 0.970638i | \(-0.577326\pi\) | ||||
−0.240543 | + | 0.970638i | \(0.577326\pi\) | |||||||
\(822\) | 0.248711 | + | 0.928203i | 0.00867480 | + | 0.0323748i | ||||
\(823\) | −24.9282 | −0.868943 | −0.434471 | − | 0.900686i | \(-0.643065\pi\) | ||||
−0.434471 | + | 0.900686i | \(0.643065\pi\) | |||||||
\(824\) | −34.3923 | + | 34.3923i | −1.19811 | + | 1.19811i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.66025 | + | 11.6603i | −0.196945 | + | 0.405712i | ||||
\(827\) | 41.8564 | 1.45549 | 0.727745 | − | 0.685848i | \(-0.240568\pi\) | ||||
0.727745 | + | 0.685848i | \(0.240568\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 48.2487i | 1.67575i | 0.545864 | + | 0.837874i | \(0.316201\pi\) | ||||
−0.545864 | + | 0.837874i | \(0.683799\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −42.9282 | −1.48916 | ||||||||
\(832\) | 51.7128i | 1.79282i | ||||||||
\(833\) | −0.464102 | − | 3.21539i | −0.0160802 | − | 0.111407i | ||||
\(834\) | −16.3923 | + | 4.39230i | −0.567619 | + | 0.152093i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −22.3923 | − | 38.7846i | −0.774454 | − | 1.34139i | ||||
\(837\) | 31.1769i | 1.07763i | ||||||||
\(838\) | 8.87564 | + | 33.1244i | 0.306604 | + | 1.14426i | ||||
\(839\) | 16.3923 | 0.565925 | 0.282963 | − | 0.959131i | \(-0.408683\pi\) | ||||
0.282963 | + | 0.959131i | \(0.408683\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.14359 | 0.211848 | ||||||||
\(842\) | −6.95448 | − | 25.9545i | −0.239667 | − | 0.894451i | ||||
\(843\) | − | 10.2679i | − | 0.353647i | ||||||
\(844\) | −7.19615 | − | 12.4641i | −0.247702 | − | 0.429032i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.85641 | − | 5.07180i | −0.201229 | − | 0.174269i | ||||
\(848\) | −6.92820 | − | 4.00000i | −0.237915 | − | 0.137361i | ||||
\(849\) | 21.0000 | 0.720718 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 13.8564i | − | 0.474991i | ||||||
\(852\) | 1.60770 | − | 0.928203i | 0.0550787 | − | 0.0317997i | ||||
\(853\) | 38.7846 | 1.32796 | 0.663980 | − | 0.747750i | \(-0.268866\pi\) | ||||
0.663980 | + | 0.747750i | \(0.268866\pi\) | |||||||
\(854\) | 8.53590 | + | 4.14359i | 0.292092 | + | 0.141791i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 36.7846 | + | 36.7846i | 1.25727 | + | 1.25727i | ||||
\(857\) | −2.28719 | −0.0781288 | −0.0390644 | − | 0.999237i | \(-0.512438\pi\) | ||||
−0.0390644 | + | 0.999237i | \(0.512438\pi\) | |||||||
\(858\) | 15.2942 | + | 57.0788i | 0.522136 | + | 1.94864i | ||||
\(859\) | 15.7128 | 0.536114 | 0.268057 | − | 0.963403i | \(-0.413618\pi\) | ||||
0.268057 | + | 0.963403i | \(0.413618\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.0000 | + | 10.3923i | 0.408959 | + | 0.354169i | ||||
\(862\) | −24.0263 | + | 6.43782i | −0.818338 | + | 0.219273i | ||||
\(863\) | 12.1436 | 0.413373 | 0.206686 | − | 0.978407i | \(-0.433732\pi\) | ||||
0.206686 | + | 0.978407i | \(0.433732\pi\) | |||||||
\(864\) | −7.60770 | + | 28.3923i | −0.258819 | + | 0.965926i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.51666 | + | 5.66025i | 0.0515382 | + | 0.192343i | ||||
\(867\) | 29.0718i | 0.987330i | ||||||||
\(868\) | 31.1769 | + | 6.00000i | 1.05821 | + | 0.203653i | ||||
\(869\) | −9.92820 | −0.336791 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.3923 | 0.758734 | ||||||||
\(872\) | −31.8564 | − | 31.8564i | −1.07879 | − | 1.07879i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.0000 | + | 44.7846i | 0.405906 | + | 1.51486i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.60770 | − | 2.78461i | −0.0543190 | − | 0.0940832i | ||||
\(877\) | 2.39230i | 0.0807824i | 0.999184 | + | 0.0403912i | \(0.0128604\pi\) | ||||
−0.999184 | + | 0.0403912i | \(0.987140\pi\) | |||||||
\(878\) | 5.75129 | + | 21.4641i | 0.194097 | + | 0.724378i | ||||
\(879\) | 24.8038i | 0.836613i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 42.9282i | − | 1.44629i | −0.690697 | − | 0.723144i | \(-0.742696\pi\) | ||
0.690697 | − | 0.723144i | \(-0.257304\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.3923 | 1.49392 | 0.746960 | − | 0.664869i | \(-0.231513\pi\) | ||||
0.746960 | + | 0.664869i | \(0.231513\pi\) | |||||||
\(884\) | 5.19615 | − | 3.00000i | 0.174766 | − | 0.100901i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.51666 | − | 35.5167i | −0.319718 | − | 1.19321i | ||||
\(887\) | − | 15.4641i | − | 0.519234i | −0.965712 | − | 0.259617i | \(-0.916404\pi\) | ||
0.965712 | − | 0.259617i | \(-0.0835963\pi\) | |||||||
\(888\) | −8.78461 | − | 8.78461i | −0.294792 | − | 0.294792i | ||||
\(889\) | −17.0718 | − | 14.7846i | −0.572570 | − | 0.495860i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 33.5885i | 1.12526i | ||||||||
\(892\) | −10.2679 | − | 17.7846i | −0.343796 | − | 0.595473i | ||||
\(893\) | 10.3923i | 0.347765i | ||||||||
\(894\) | 40.0526 | − | 10.7321i | 1.33956 | − | 0.358933i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 26.9282 | + | 13.0718i | 0.899608 | + | 0.436698i | ||||
\(897\) | − | 61.1769i | − | 2.04264i | ||||||
\(898\) | −0.705771 | − | 2.63397i | −0.0235519 | − | 0.0878969i | ||||
\(899\) | −35.5692 | −1.18630 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.928203i | 0.0309229i | ||||||||
\(902\) | −4.73205 | − | 17.6603i | −0.157560 | − | 0.588022i | ||||
\(903\) | −6.00000 | + | 6.92820i | −0.199667 | + | 0.230556i | ||||
\(904\) | −2.92820 | + | 2.92820i | −0.0973906 | + | 0.0973906i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.04552 | + | 11.3660i | 0.101181 | + | 0.377611i | ||||
\(907\) | −11.6077 | −0.385427 | −0.192714 | − | 0.981255i | \(-0.561729\pi\) | ||||
−0.192714 | + | 0.981255i | \(0.561729\pi\) | |||||||
\(908\) | −3.33975 | − | 5.78461i | −0.110833 | − | 0.191969i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 28.2487i | − | 0.935922i | −0.883749 | − | 0.467961i | \(-0.844989\pi\) | ||
0.883749 | − | 0.467961i | \(-0.155011\pi\) | |||||||
\(912\) | 36.0000 | + | 20.7846i | 1.19208 | + | 0.688247i | ||||
\(913\) | −31.8564 | −1.05429 | ||||||||
\(914\) | 37.5167 | − | 10.0526i | 1.24094 | − | 0.332509i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.4641 | − | 26.7846i | −0.510948 | − | 0.884988i | ||||
\(917\) | 18.9282 | + | 16.3923i | 0.625064 | + | 0.541322i | ||||
\(918\) | 3.29423 | − | 0.882686i | 0.108726 | − | 0.0291330i | ||||
\(919\) | − | 37.5885i | − | 1.23993i | −0.784630 | − | 0.619964i | \(-0.787147\pi\) | ||
0.784630 | − | 0.619964i | \(-0.212853\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.00000 | −0.0988534 | ||||||||
\(922\) | −37.8564 | + | 10.1436i | −1.24673 | + | 0.334061i | ||||
\(923\) | − | 3.46410i | − | 0.114022i | ||||||
\(924\) | 33.5885 | + | 6.46410i | 1.10498 | + | 0.212653i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 1.60770 | + | 6.00000i | 0.0528321 | + | 0.197172i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −32.3923 | − | 8.67949i | −1.06333 | − | 0.284918i | ||||
\(929\) | − | 42.4974i | − | 1.39430i | −0.716928 | − | 0.697148i | \(-0.754452\pi\) | ||
0.716928 | − | 0.697148i | \(-0.245548\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.00000 | − | 41.5692i | −0.196642 | − | 1.36238i | ||||
\(932\) | −22.9282 | − | 39.7128i | −0.751038 | − | 1.30084i | ||||
\(933\) | 34.3923i | 1.12595i | ||||||||
\(934\) | −30.7583 | + | 8.24167i | −1.00644 | + | 0.269676i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.60770 | 0.150527 | 0.0752634 | − | 0.997164i | \(-0.476020\pi\) | ||||
0.0752634 | + | 0.997164i | \(0.476020\pi\) | |||||||
\(938\) | 5.66025 | − | 11.6603i | 0.184814 | − | 0.380721i | ||||
\(939\) | 42.3731i | 1.38279i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 51.0333i | − | 1.66364i | −0.555046 | − | 0.831819i | \(-0.687300\pi\) | ||
0.555046 | − | 0.831819i | \(-0.312700\pi\) | |||||||
\(942\) | −46.9808 | + | 12.5885i | −1.53072 | + | 0.410154i | ||||
\(943\) | 18.9282i | 0.616387i | ||||||||
\(944\) | −6.92820 | + | 12.0000i | −0.225494 | + | 0.390567i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.1962 | − | 2.73205i | 0.331506 | − | 0.0888266i | ||||
\(947\) | −18.7846 | −0.610418 | −0.305209 | − | 0.952285i | \(-0.598726\pi\) | ||||
−0.305209 | + | 0.952285i | \(0.598726\pi\) | |||||||
\(948\) | 7.98076 | − | 4.60770i | 0.259203 | − | 0.149651i | ||||
\(949\) | −6.00000 | −0.194768 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −29.3205 | −0.950783 | ||||||||
\(952\) | −0.248711 | − | 3.46410i | −0.00806078 | − | 0.112272i | ||||
\(953\) | 13.3205i | 0.431494i | 0.976449 | + | 0.215747i | \(0.0692186\pi\) | ||||
−0.976449 | + | 0.215747i | \(0.930781\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −27.9808 | − | 48.4641i | −0.904963 | − | 1.56744i | ||||
\(957\) | −38.3205 | −1.23873 | ||||||||
\(958\) | −13.6077 | − | 50.7846i | −0.439645 | − | 1.64078i | ||||
\(959\) | 0.679492 | − | 0.784610i | 0.0219419 | − | 0.0253364i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | −22.3923 | + | 6.00000i | −0.721957 | + | 0.193448i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.39230 | + | 7.60770i | 0.141467 | + | 0.245027i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −31.8564 | − | 15.4641i | −1.02496 | − | 0.497549i | ||||
\(967\) | −31.1769 | −1.00258 | −0.501291 | − | 0.865279i | \(-0.667141\pi\) | ||||
−0.501291 | + | 0.865279i | \(0.667141\pi\) | |||||||
\(968\) | −5.85641 | − | 5.85641i | −0.188232 | − | 0.188232i | ||||
\(969\) | − | 4.82309i | − | 0.154940i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −26.7846 | −0.859559 | −0.429780 | − | 0.902934i | \(-0.641409\pi\) | ||||
−0.429780 | + | 0.902934i | \(0.641409\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.8564 | + | 12.0000i | 0.444216 | + | 0.384702i | ||||
\(974\) | −10.5359 | − | 39.3205i | −0.337592 | − | 1.25991i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.78461 | + | 5.07180i | 0.281189 | + | 0.162344i | ||||
\(977\) | 44.2487i | 1.41564i | 0.706392 | + | 0.707821i | \(0.250322\pi\) | ||||
−0.706392 | + | 0.707821i | \(0.749678\pi\) | |||||||
\(978\) | 49.1769 | − | 13.1769i | 1.57250 | − | 0.421351i | ||||
\(979\) | −35.3205 | −1.12885 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 46.6147 | − | 12.4904i | 1.48754 | − | 0.398584i | ||||
\(983\) | − | 3.58846i | − | 0.114454i | −0.998361 | − | 0.0572270i | \(-0.981774\pi\) | ||
0.998361 | − | 0.0572270i | \(-0.0182259\pi\) | |||||||
\(984\) | 12.0000 | + | 12.0000i | 0.382546 | + | 0.382546i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.00704 | + | 3.75833i | 0.0320707 | + | 0.119690i | ||||
\(987\) | −6.00000 | − | 5.19615i | −0.190982 | − | 0.165395i | ||||
\(988\) | 67.1769 | − | 38.7846i | 2.13718 | − | 1.23390i | ||||
\(989\) | −10.9282 | −0.347497 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.1769i | 0.482111i | 0.970511 | + | 0.241055i | \(0.0774935\pi\) | ||||
−0.970511 | + | 0.241055i | \(0.922506\pi\) | |||||||
\(992\) | 32.7846 | + | 8.78461i | 1.04091 | + | 0.278912i | ||||
\(993\) | 9.71281 | 0.308227 | ||||||||
\(994\) | −1.80385 | − | 0.875644i | −0.0572146 | − | 0.0277738i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 25.6077 | − | 14.7846i | 0.811411 | − | 0.468468i | ||||
\(997\) | −12.4641 | −0.394742 | −0.197371 | − | 0.980329i | \(-0.563240\pi\) | ||||
−0.197371 | + | 0.980329i | \(0.563240\pi\) | |||||||
\(998\) | −7.63397 | + | 2.04552i | −0.241649 | + | 0.0647497i | ||||
\(999\) | −13.1769 | −0.416899 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))