Newspace parameters
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
|
|
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.4 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.251 |
Dual form | 700.2.g.f.251.3 |
$q$-expansion
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.965926 | + | 0.258819i | ||||
\(3\) | −1.73205 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(4\) | 1.73205 | + | 1.00000i | 0.866025 | + | 0.500000i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.36603 | − | 0.633975i | −0.965926 | − | 0.258819i | ||||
\(7\) | −1.73205 | − | 2.00000i | −0.654654 | − | 0.755929i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.707107 | + | 0.707107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.73205i | 1.12526i | 0.826710 | + | 0.562628i | \(0.190210\pi\) | ||||
−0.826710 | + | 0.562628i | \(0.809790\pi\) | |||||||
\(12\) | −3.00000 | − | 1.73205i | −0.866025 | − | 0.500000i | ||||
\(13\) | 6.46410i | 1.79282i | 0.443227 | + | 0.896410i | \(0.353834\pi\) | ||||
−0.443227 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(14\) | −1.63397 | − | 3.36603i | −0.436698 | − | 0.899608i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | 0.464102i | 0.112561i | 0.998415 | + | 0.0562806i | \(0.0179241\pi\) | ||||
−0.998415 | + | 0.0562806i | \(0.982076\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.00000 | 1.37649 | 0.688247 | − | 0.725476i | \(-0.258380\pi\) | ||||
0.688247 | + | 0.725476i | \(0.258380\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.00000 | + | 3.46410i | 0.654654 | + | 0.755929i | ||||
\(22\) | −1.36603 | + | 5.09808i | −0.291238 | + | 1.08691i | ||||
\(23\) | 5.46410i | 1.13934i | 0.821872 | + | 0.569672i | \(0.192930\pi\) | ||||
−0.821872 | + | 0.569672i | \(0.807070\pi\) | |||||||
\(24\) | −3.46410 | − | 3.46410i | −0.707107 | − | 0.707107i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.36603 | + | 8.83013i | −0.464016 | + | 1.73173i | ||||
\(27\) | 5.19615 | 1.00000 | ||||||||
\(28\) | −1.00000 | − | 5.19615i | −0.188982 | − | 0.981981i | ||||
\(29\) | −5.92820 | −1.10084 | −0.550420 | − | 0.834888i | \(-0.685532\pi\) | ||||
−0.550420 | + | 0.834888i | \(0.685532\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.00000 | −1.07763 | −0.538816 | − | 0.842424i | \(-0.681128\pi\) | ||||
−0.538816 | + | 0.842424i | \(0.681128\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.258819 | + | 0.965926i | ||||
\(33\) | − | 6.46410i | − | 1.12526i | ||||||
\(34\) | −0.169873 | + | 0.633975i | −0.0291330 | + | 0.108726i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.53590 | 0.416899 | 0.208450 | − | 0.978033i | \(-0.433158\pi\) | ||||
0.208450 | + | 0.978033i | \(0.433158\pi\) | |||||||
\(38\) | 8.19615 | + | 2.19615i | 1.32959 | + | 0.356263i | ||||
\(39\) | − | 11.1962i | − | 1.79282i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 3.46410i | − | 0.541002i | −0.962720 | − | 0.270501i | \(-0.912811\pi\) | ||
0.962720 | − | 0.270501i | \(-0.0871893\pi\) | |||||||
\(42\) | 2.83013 | + | 5.83013i | 0.436698 | + | 0.899608i | ||||
\(43\) | − | 2.00000i | − | 0.304997i | −0.988304 | − | 0.152499i | \(-0.951268\pi\) | ||
0.988304 | − | 0.152499i | \(-0.0487319\pi\) | |||||||
\(44\) | −3.73205 | + | 6.46410i | −0.562628 | + | 0.974500i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.00000 | + | 7.46410i | −0.294884 | + | 1.10052i | ||||
\(47\) | 1.73205 | 0.252646 | 0.126323 | − | 0.991989i | \(-0.459682\pi\) | ||||
0.126323 | + | 0.991989i | \(0.459682\pi\) | |||||||
\(48\) | −3.46410 | − | 6.00000i | −0.500000 | − | 0.866025i | ||||
\(49\) | −1.00000 | + | 6.92820i | −0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 0.803848i | − | 0.112561i | ||||||
\(52\) | −6.46410 | + | 11.1962i | −0.896410 | + | 1.55263i | ||||
\(53\) | −2.00000 | −0.274721 | −0.137361 | − | 0.990521i | \(-0.543862\pi\) | ||||
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(54\) | 7.09808 | + | 1.90192i | 0.965926 | + | 0.258819i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.535898 | − | 7.46410i | 0.0716124 | − | 0.997433i | ||||
\(57\) | −10.3923 | −1.37649 | ||||||||
\(58\) | −8.09808 | − | 2.16987i | −1.06333 | − | 0.284918i | ||||
\(59\) | 3.46410 | 0.450988 | 0.225494 | − | 0.974245i | \(-0.427600\pi\) | ||||
0.225494 | + | 0.974245i | \(0.427600\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 2.53590i | − | 0.324689i | −0.986734 | − | 0.162344i | \(-0.948094\pi\) | ||
0.986734 | − | 0.162344i | \(-0.0519055\pi\) | |||||||
\(62\) | −8.19615 | − | 2.19615i | −1.04091 | − | 0.278912i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.36603 | − | 8.83013i | 0.291238 | − | 1.08691i | ||||
\(67\) | − | 3.46410i | − | 0.423207i | −0.977356 | − | 0.211604i | \(-0.932131\pi\) | ||
0.977356 | − | 0.211604i | \(-0.0678686\pi\) | |||||||
\(68\) | −0.464102 | + | 0.803848i | −0.0562806 | + | 0.0974808i | ||||
\(69\) | − | 9.46410i | − | 1.13934i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.535898i | 0.0635994i | 0.999494 | + | 0.0317997i | \(0.0101239\pi\) | ||||
−0.999494 | + | 0.0317997i | \(0.989876\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 0.928203i | − | 0.108638i | −0.998524 | − | 0.0543190i | \(-0.982701\pi\) | ||
0.998524 | − | 0.0543190i | \(-0.0172988\pi\) | |||||||
\(74\) | 3.46410 | + | 0.928203i | 0.402694 | + | 0.107901i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.3923 | + | 6.00000i | 1.19208 | + | 0.688247i | ||||
\(77\) | 7.46410 | − | 6.46410i | 0.850613 | − | 0.736653i | ||||
\(78\) | 4.09808 | − | 15.2942i | 0.464016 | − | 1.73173i | ||||
\(79\) | − | 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 | ||||||||
\(82\) | 1.26795 | − | 4.73205i | 0.140022 | − | 0.522568i | ||||
\(83\) | −8.53590 | −0.936937 | −0.468468 | − | 0.883480i | \(-0.655194\pi\) | ||||
−0.468468 | + | 0.883480i | \(0.655194\pi\) | |||||||
\(84\) | 1.73205 | + | 9.00000i | 0.188982 | + | 0.981981i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.732051 | − | 2.73205i | 0.0789391 | − | 0.294605i | ||||
\(87\) | 10.2679 | 1.10084 | ||||||||
\(88\) | −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 | ||||
\(92\) | −5.46410 | + | 9.46410i | −0.569672 | + | 0.986701i | ||||
\(93\) | 10.3923 | 1.07763 | ||||||||
\(94\) | 2.36603 | + | 0.633975i | 0.244037 | + | 0.0653895i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.53590 | − | 9.46410i | −0.258819 | − | 0.965926i | ||||
\(97\) | 7.39230i | 0.750575i | 0.926908 | + | 0.375287i | \(0.122456\pi\) | ||||
−0.926908 | + | 0.375287i | \(0.877544\pi\) | |||||||
\(98\) | −3.90192 | + | 9.09808i | −0.394154 | + | 0.919044i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.53590i | 0.849354i | 0.905345 | + | 0.424677i | \(0.139612\pi\) | ||||
−0.905345 | + | 0.424677i | \(0.860388\pi\) | |||||||
\(102\) | 0.294229 | − | 1.09808i | 0.0291330 | − | 0.108726i | ||||
\(103\) | 17.1962 | 1.69439 | 0.847194 | − | 0.531284i | \(-0.178290\pi\) | ||||
0.847194 | + | 0.531284i | \(0.178290\pi\) | |||||||
\(104\) | −12.9282 | + | 12.9282i | −1.26771 | + | 1.26771i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.73205 | − | 0.732051i | −0.265360 | − | 0.0711031i | ||||
\(107\) | − | 18.3923i | − | 1.77805i | −0.457857 | − | 0.889026i | \(-0.651383\pi\) | ||
0.457857 | − | 0.889026i | \(-0.348617\pi\) | |||||||
\(108\) | 9.00000 | + | 5.19615i | 0.866025 | + | 0.500000i | ||||
\(109\) | 15.9282 | 1.52565 | 0.762823 | − | 0.646608i | \(-0.223813\pi\) | ||||
0.762823 | + | 0.646608i | \(0.223813\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.39230 | −0.416899 | ||||||||
\(112\) | 3.46410 | − | 10.0000i | 0.327327 | − | 0.944911i | ||||
\(113\) | 1.46410 | 0.137731 | 0.0688655 | − | 0.997626i | \(-0.478062\pi\) | ||||
0.0688655 | + | 0.997626i | \(0.478062\pi\) | |||||||
\(114\) | −14.1962 | − | 3.80385i | −1.32959 | − | 0.356263i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −10.2679 | − | 5.92820i | −0.953355 | − | 0.550420i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.73205 | + | 1.26795i | 0.435621 | + | 0.116724i | ||||
\(119\) | 0.928203 | − | 0.803848i | 0.0850883 | − | 0.0736886i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.92820 | −0.266200 | ||||||||
\(122\) | 0.928203 | − | 3.46410i | 0.0840356 | − | 0.313625i | ||||
\(123\) | 6.00000i | 0.541002i | ||||||||
\(124\) | −10.3923 | − | 6.00000i | −0.933257 | − | 0.538816i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.53590i | 0.757438i | 0.925512 | + | 0.378719i | \(0.123635\pi\) | ||||
−0.925512 | + | 0.378719i | \(0.876365\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.258819 | + | 0.965926i | ||||
\(129\) | 3.46410i | 0.304997i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.46410 | 0.826882 | 0.413441 | − | 0.910531i | \(-0.364327\pi\) | ||||
0.413441 | + | 0.910531i | \(0.364327\pi\) | |||||||
\(132\) | 6.46410 | − | 11.1962i | 0.562628 | − | 0.974500i | ||||
\(133\) | −10.3923 | − | 12.0000i | −0.901127 | − | 1.04053i | ||||
\(134\) | 1.26795 | − | 4.73205i | 0.109534 | − | 0.408787i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.928203 | + | 0.928203i | −0.0795928 | + | 0.0795928i | ||||
\(137\) | 0.392305 | 0.0335169 | 0.0167584 | − | 0.999860i | \(-0.494665\pi\) | ||||
0.0167584 | + | 0.999860i | \(0.494665\pi\) | |||||||
\(138\) | 3.46410 | − | 12.9282i | 0.294884 | − | 1.10052i | ||||
\(139\) | −6.92820 | −0.587643 | −0.293821 | − | 0.955860i | \(-0.594927\pi\) | ||||
−0.293821 | + | 0.955860i | \(0.594927\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | −0.252646 | ||||||||
\(142\) | −0.196152 | + | 0.732051i | −0.0164607 | + | 0.0614323i | ||||
\(143\) | −24.1244 | −2.01738 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.339746 | − | 1.26795i | 0.0281176 | − | 0.104936i | ||||
\(147\) | 1.73205 | − | 12.0000i | 0.142857 | − | 0.989743i | ||||
\(148\) | 4.39230 | + | 2.53590i | 0.361045 | + | 0.208450i | ||||
\(149\) | 16.9282 | 1.38681 | 0.693406 | − | 0.720547i | \(-0.256109\pi\) | ||||
0.693406 | + | 0.720547i | \(0.256109\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.80385i | 0.390932i | 0.980711 | + | 0.195466i | \(0.0626219\pi\) | ||||
−0.980711 | + | 0.195466i | \(0.937378\pi\) | |||||||
\(152\) | 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 | ||||
\(157\) | − | 19.8564i | − | 1.58471i | −0.610058 | − | 0.792357i | \(-0.708854\pi\) | ||
0.610058 | − | 0.792357i | \(-0.291146\pi\) | |||||||
\(158\) | 0.973721 | − | 3.63397i | 0.0774650 | − | 0.289103i | ||||
\(159\) | 3.46410 | 0.274721 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.9282 | − | 9.46410i | 0.861263 | − | 0.745876i | ||||
\(162\) | −12.2942 | − | 3.29423i | −0.965926 | − | 0.258819i | ||||
\(163\) | − | 20.7846i | − | 1.62798i | −0.580881 | − | 0.813988i | \(-0.697292\pi\) | ||
0.580881 | − | 0.813988i | \(-0.302708\pi\) | |||||||
\(164\) | 3.46410 | − | 6.00000i | 0.270501 | − | 0.468521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.6603 | − | 3.12436i | −0.905011 | − | 0.242497i | ||||
\(167\) | −5.19615 | −0.402090 | −0.201045 | − | 0.979582i | \(-0.564434\pi\) | ||||
−0.201045 | + | 0.979582i | \(0.564434\pi\) | |||||||
\(168\) | −0.928203 | + | 12.9282i | −0.0716124 | + | 0.997433i | ||||
\(169\) | −28.7846 | −2.21420 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | − | 3.46410i | 0.152499 | − | 0.264135i | ||||
\(173\) | 20.3205i | 1.54494i | 0.635051 | + | 0.772470i | \(0.280979\pi\) | ||||
−0.635051 | + | 0.772470i | \(0.719021\pi\) | |||||||
\(174\) | 14.0263 | + | 3.75833i | 1.06333 | + | 0.284918i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −12.9282 | + | 7.46410i | −0.974500 | + | 0.562628i | ||||
\(177\) | −6.00000 | −0.450988 | ||||||||
\(178\) | 3.46410 | − | 12.9282i | 0.259645 | − | 0.969010i | ||||
\(179\) | 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 | \(-0.840465\pi\) | ||
0.877010 | − | 0.480473i | \(-0.159535\pi\) | |||||||
\(182\) | 21.7583 | − | 10.5622i | 1.61283 | − | 0.782921i | ||||
\(183\) | 4.39230i | 0.324689i | ||||||||
\(184\) | −10.9282 | + | 10.9282i | −0.805638 | + | 0.805638i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 14.1962 | + | 3.80385i | 1.04091 | + | 0.278912i | ||||
\(187\) | −1.73205 | −0.126660 | ||||||||
\(188\) | 3.00000 | + | 1.73205i | 0.218797 | + | 0.126323i | ||||
\(189\) | −9.00000 | − | 10.3923i | −0.654654 | − | 0.755929i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 3.19615i | − | 0.231265i | −0.993292 | − | 0.115633i | \(-0.963110\pi\) | ||
0.993292 | − | 0.115633i | \(-0.0368896\pi\) | |||||||
\(192\) | − | 13.8564i | − | 1.00000i | ||||||
\(193\) | 2.53590 | 0.182538 | 0.0912690 | − | 0.995826i | \(-0.470908\pi\) | ||||
0.0912690 | + | 0.995826i | \(0.470908\pi\) | |||||||
\(194\) | −2.70577 | + | 10.0981i | −0.194263 | + | 0.725000i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.66025 | + | 11.0000i | −0.618590 | + | 0.785714i | ||||
\(197\) | −21.3205 | −1.51902 | −0.759512 | − | 0.650494i | \(-0.774562\pi\) | ||||
−0.759512 | + | 0.650494i | \(0.774562\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.46410 | −0.245564 | −0.122782 | − | 0.992434i | \(-0.539182\pi\) | ||||
−0.122782 | + | 0.992434i | \(0.539182\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.00000i | 0.423207i | ||||||||
\(202\) | −3.12436 | + | 11.6603i | −0.219829 | + | 0.820413i | ||||
\(203\) | 10.2679 | + | 11.8564i | 0.720669 | + | 0.832157i | ||||
\(204\) | 0.803848 | − | 1.39230i | 0.0562806 | − | 0.0974808i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 23.4904 | + | 6.29423i | 1.63665 | + | 0.438540i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −22.3923 | + | 12.9282i | −1.55263 | + | 0.896410i | ||||
\(209\) | 22.3923i | 1.54891i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 7.19615i | − | 0.495404i | −0.968836 | − | 0.247702i | \(-0.920325\pi\) | ||
0.968836 | − | 0.247702i | \(-0.0796753\pi\) | |||||||
\(212\) | −3.46410 | − | 2.00000i | −0.237915 | − | 0.137361i | ||||
\(213\) | − | 0.928203i | − | 0.0635994i | ||||||
\(214\) | 6.73205 | − | 25.1244i | 0.460194 | − | 1.71747i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 10.3923 | + | 10.3923i | 0.707107 | + | 0.707107i | ||||
\(217\) | 10.3923 | + | 12.0000i | 0.705476 | + | 0.814613i | ||||
\(218\) | 21.7583 | + | 5.83013i | 1.47366 | + | 0.394866i | ||||
\(219\) | 1.60770i | 0.108638i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | −0.201802 | ||||||||
\(222\) | −6.00000 | − | 1.60770i | −0.402694 | − | 0.107901i | ||||
\(223\) | 10.2679 | 0.687593 | 0.343796 | − | 0.939044i | \(-0.388287\pi\) | ||||
0.343796 | + | 0.939044i | \(0.388287\pi\) | |||||||
\(224\) | 8.39230 | − | 12.3923i | 0.560734 | − | 0.827996i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.00000 | + | 0.535898i | 0.133038 | + | 0.0356474i | ||||
\(227\) | −3.33975 | −0.221667 | −0.110833 | − | 0.993839i | \(-0.535352\pi\) | ||||
−0.110833 | + | 0.993839i | \(0.535352\pi\) | |||||||
\(228\) | −18.0000 | − | 10.3923i | −1.19208 | − | 0.688247i | ||||
\(229\) | 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 | ||||
\(233\) | 22.9282 | 1.50208 | 0.751038 | − | 0.660259i | \(-0.229553\pi\) | ||||
0.751038 | + | 0.660259i | \(0.229553\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.00000 | + | 3.46410i | 0.390567 | + | 0.225494i | ||||
\(237\) | 4.60770i | 0.299302i | ||||||||
\(238\) | 1.56218 | − | 0.758330i | 0.101261 | − | 0.0491552i | ||||
\(239\) | 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 | \(0.0451818\pi\) | ||||
−0.989943 | + | 0.141467i | \(0.954818\pi\) | |||||||
\(242\) | −4.00000 | − | 1.07180i | −0.257130 | − | 0.0688977i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.53590 | − | 4.39230i | 0.162344 | − | 0.281189i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.19615 | + | 8.19615i | −0.140022 | + | 0.522568i | ||||
\(247\) | 38.7846i | 2.46781i | ||||||||
\(248\) | −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 | ||||||||
\(253\) | −20.3923 | −1.28205 | ||||||||
\(254\) | −3.12436 | + | 11.6603i | −0.196040 | + | 0.731629i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | 6.00000i | 0.374270i | 0.982334 | + | 0.187135i | \(0.0599201\pi\) | ||||
−0.982334 | + | 0.187135i | \(0.940080\pi\) | |||||||
\(258\) | −1.26795 | + | 4.73205i | −0.0789391 | + | 0.294605i | ||||
\(259\) | −4.39230 | − | 5.07180i | −0.272925 | − | 0.315146i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.9282 | + | 3.46410i | 0.798707 | + | 0.214013i | ||||
\(263\) | 4.53590i | 0.279695i | 0.990173 | + | 0.139848i | \(0.0446613\pi\) | ||||
−0.990173 | + | 0.139848i | \(0.955339\pi\) | |||||||
\(264\) | 12.9282 | − | 12.9282i | 0.795676 | − | 0.795676i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −9.80385 | − | 20.1962i | −0.601112 | − | 1.23831i | ||||
\(267\) | 16.3923i | 1.00319i | ||||||||
\(268\) | 3.46410 | − | 6.00000i | 0.211604 | − | 0.366508i | ||||
\(269\) | 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 | \(0.475459\pi\) | |||||||
\(272\) | −1.60770 | + | 0.928203i | −0.0974808 | + | 0.0562806i | ||||
\(273\) | −22.3923 | + | 19.3923i | −1.35524 | + | 1.17368i | ||||
\(274\) | 0.535898 | + | 0.143594i | 0.0323748 | + | 0.00867480i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.46410 | − | 16.3923i | 0.569672 | − | 0.986701i | ||||
\(277\) | 24.7846 | 1.48916 | 0.744581 | − | 0.667532i | \(-0.232649\pi\) | ||||
0.744581 | + | 0.667532i | \(0.232649\pi\) | |||||||
\(278\) | −9.46410 | − | 2.53590i | −0.567619 | − | 0.152093i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.92820 | 0.353647 | 0.176823 | − | 0.984243i | \(-0.443418\pi\) | ||||
0.176823 | + | 0.984243i | \(0.443418\pi\) | |||||||
\(282\) | −4.09808 | − | 1.09808i | −0.244037 | − | 0.0653895i | ||||
\(283\) | 12.1244 | 0.720718 | 0.360359 | − | 0.932814i | \(-0.382654\pi\) | ||||
0.360359 | + | 0.932814i | \(0.382654\pi\) | |||||||
\(284\) | −0.535898 | + | 0.928203i | −0.0317997 | + | 0.0550787i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −32.9545 | − | 8.83013i | −1.94864 | − | 0.522136i | ||||
\(287\) | −6.92820 | + | 6.00000i | −0.408959 | + | 0.354169i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.7846 | 0.987330 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 12.8038i | − | 0.750575i | ||||||
\(292\) | 0.928203 | − | 1.60770i | 0.0543190 | − | 0.0940832i | ||||
\(293\) | − | 14.3205i | − | 0.836613i | −0.908306 | − | 0.418307i | \(-0.862624\pi\) | ||
0.908306 | − | 0.418307i | \(-0.137376\pi\) | |||||||
\(294\) | 6.75833 | − | 15.7583i | 0.394154 | − | 0.919044i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.07180 | + | 5.07180i | 0.294792 | + | 0.294792i | ||||
\(297\) | 19.3923i | 1.12526i | ||||||||
\(298\) | 23.1244 | + | 6.19615i | 1.33956 | + | 0.358933i | ||||
\(299\) | −35.3205 | −2.04264 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.00000 | + | 3.46410i | −0.230556 | + | 0.199667i | ||||
\(302\) | −1.75833 | + | 6.56218i | −0.101181 | + | 0.377611i | ||||
\(303\) | − | 14.7846i | − | 0.849354i | ||||||
\(304\) | 12.0000 | + | 20.7846i | 0.688247 | + | 1.19208i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.73205 | 0.0988534 | 0.0494267 | − | 0.998778i | \(-0.484261\pi\) | ||||
0.0494267 | + | 0.998778i | \(0.484261\pi\) | |||||||
\(308\) | 19.3923 | − | 3.73205i | 1.10498 | − | 0.212653i | ||||
\(309\) | −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 | ||||
\(313\) | − | 24.4641i | − | 1.38279i | −0.722476 | − | 0.691396i | \(-0.756996\pi\) | ||
0.722476 | − | 0.691396i | \(-0.243004\pi\) | |||||||
\(314\) | 7.26795 | − | 27.1244i | 0.410154 | − | 1.53072i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.66025 | − | 4.60770i | 0.149651 | − | 0.259203i | ||||
\(317\) | 16.9282 | 0.950783 | 0.475391 | − | 0.879774i | \(-0.342306\pi\) | ||||
0.475391 | + | 0.879774i | \(0.342306\pi\) | |||||||
\(318\) | 4.73205 | + | 1.26795i | 0.265360 | + | 0.0711031i | ||||
\(319\) | − | 22.1244i | − | 1.23873i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 31.8564i | 1.77805i | ||||||||
\(322\) | 18.3923 | − | 8.92820i | 1.02496 | − | 0.497549i | ||||
\(323\) | 2.78461i | 0.154940i | ||||||||
\(324\) | −15.5885 | − | 9.00000i | −0.866025 | − | 0.500000i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 7.60770 | − | 28.3923i | 0.421351 | − | 1.57250i | ||||
\(327\) | −27.5885 | −1.52565 | ||||||||
\(328\) | 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 | \(-0.950748\pi\) | ||
0.988053 | − | 0.154113i | \(-0.0492521\pi\) | |||||||
\(332\) | −14.7846 | − | 8.53590i | −0.811411 | − | 0.468468i | ||||
\(333\) | 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 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(338\) | −39.3205 | − | 10.5359i | −2.13875 | − | 0.573077i | ||||
\(339\) | −2.53590 | −0.137731 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 22.3923i | − | 1.21261i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | 4.00000 | − | 4.00000i | 0.215666 | − | 0.215666i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.43782 | + | 27.7583i | −0.399860 | + | 1.49230i | ||||
\(347\) | 14.2487i | 0.764911i | 0.923974 | + | 0.382455i | \(0.124921\pi\) | ||||
−0.923974 | + | 0.382455i | \(0.875079\pi\) | |||||||
\(348\) | 17.7846 | + | 10.2679i | 0.953355 | + | 0.550420i | ||||
\(349\) | − | 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 | ||||||||
\(352\) | −20.3923 | + | 5.46410i | −1.08691 | + | 0.291238i | ||||
\(353\) | 13.3923i | 0.712800i | 0.934333 | + | 0.356400i | \(0.115996\pi\) | ||||
−0.934333 | + | 0.356400i | \(0.884004\pi\) | |||||||
\(354\) | −8.19615 | − | 2.19615i | −0.435621 | − | 0.116724i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 9.46410 | − | 16.3923i | 0.501596 | − | 0.868790i | ||||
\(357\) | −1.60770 | + | 1.39230i | −0.0850883 | + | 0.0736886i | ||||
\(358\) | −5.26795 | + | 19.6603i | −0.278420 | + | 1.03908i | ||||
\(359\) | − | 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 | ||||||||
\(362\) | 4.73205 | − | 17.6603i | 0.248711 | − | 0.928202i | ||||
\(363\) | 5.07180 | 0.266200 | ||||||||
\(364\) | 33.5885 | − | 6.46410i | 1.76051 | − | 0.338811i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.60770 | + | 6.00000i | −0.0840356 | + | 0.313625i | ||||
\(367\) | −36.1244 | −1.88568 | −0.942838 | − | 0.333251i | \(-0.891854\pi\) | ||||
−0.942838 | + | 0.333251i | \(0.891854\pi\) | |||||||
\(368\) | −18.9282 | + | 10.9282i | −0.986701 | + | 0.569672i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.46410 | + | 4.00000i | 0.179847 | + | 0.207670i | ||||
\(372\) | 18.0000 | + | 10.3923i | 0.933257 | + | 0.538816i | ||||
\(373\) | 24.3923 | 1.26299 | 0.631493 | − | 0.775382i | \(-0.282443\pi\) | ||||
0.631493 | + | 0.775382i | \(0.282443\pi\) | |||||||
\(374\) | −2.36603 | − | 0.633975i | −0.122344 | − | 0.0327820i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.46410 | + | 3.46410i | 0.178647 | + | 0.178647i | ||||
\(377\) | − | 38.3205i | − | 1.97361i | ||||||
\(378\) | −8.49038 | − | 17.4904i | −0.436698 | − | 0.899608i | ||||
\(379\) | 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 | ||||||
\(382\) | 1.16987 | − | 4.36603i | 0.0598559 | − | 0.223385i | ||||
\(383\) | −20.5359 | −1.04934 | −0.524668 | − | 0.851307i | \(-0.675810\pi\) | ||||
−0.524668 | + | 0.851307i | \(0.675810\pi\) | |||||||
\(384\) | 5.07180 | − | 18.9282i | 0.258819 | − | 0.965926i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.46410 | + | 0.928203i | 0.176318 | + | 0.0472443i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.39230 | + | 12.8038i | −0.375287 | + | 0.650017i | ||||
\(389\) | 6.85641 | 0.347634 | 0.173817 | − | 0.984778i | \(-0.444390\pi\) | ||||
0.173817 | + | 0.984778i | \(0.444390\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.53590 | −0.128246 | ||||||||
\(392\) | −15.8564 | + | 11.8564i | −0.800869 | + | 0.598839i | ||||
\(393\) | −16.3923 | −0.826882 | ||||||||
\(394\) | −29.1244 | − | 7.80385i | −1.46726 | − | 0.393152i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.53590i | 0.277839i | 0.990304 | + | 0.138919i | \(0.0443629\pi\) | ||||
−0.990304 | + | 0.138919i | \(0.955637\pi\) | |||||||
\(398\) | −4.73205 | − | 1.26795i | −0.237196 | − | 0.0635566i | ||||
\(399\) | 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 | \(0.703823\pi\) | |||||||
\(402\) | −2.19615 | + | 8.19615i | −0.109534 | + | 0.408787i | ||||
\(403\) | − | 38.7846i | − | 1.93200i | ||||||
\(404\) | −8.53590 | + | 14.7846i | −0.424677 | + | 0.735562i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.68653 | + | 19.9545i | 0.480735 | + | 0.990324i | ||||
\(407\) | 9.46410i | 0.469118i | ||||||||
\(408\) | 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 | ||||||||
\(412\) | 29.7846 | + | 17.1962i | 1.46738 | + | 0.847194i | ||||
\(413\) | −6.00000 | − | 6.92820i | −0.295241 | − | 0.340915i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −35.3205 | + | 9.46410i | −1.73173 | + | 0.464016i | ||||
\(417\) | 12.0000 | 0.587643 | ||||||||
\(418\) | −8.19615 | + | 30.5885i | −0.400887 | + | 1.49613i | ||||
\(419\) | 24.2487 | 1.18463 | 0.592314 | − | 0.805708i | \(-0.298215\pi\) | ||||
0.592314 | + | 0.805708i | \(0.298215\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0000 | 0.926003 | 0.463002 | − | 0.886357i | \(-0.346772\pi\) | ||||
0.463002 | + | 0.886357i | \(0.346772\pi\) | |||||||
\(422\) | 2.63397 | − | 9.83013i | 0.128220 | − | 0.478523i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.00000 | − | 4.00000i | −0.194257 | − | 0.194257i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.339746 | − | 1.26795i | 0.0164607 | − | 0.0614323i | ||||
\(427\) | −5.07180 | + | 4.39230i | −0.245441 | + | 0.212559i | ||||
\(428\) | 18.3923 | − | 31.8564i | 0.889026 | − | 1.53984i | ||||
\(429\) | 41.7846 | 2.01738 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.5885i | 0.847206i | 0.905848 | + | 0.423603i | \(0.139235\pi\) | ||||
−0.905848 | + | 0.423603i | \(0.860765\pi\) | |||||||
\(432\) | 10.3923 | + | 18.0000i | 0.500000 | + | 0.866025i | ||||
\(433\) | − | 4.14359i | − | 0.199128i | −0.995031 | − | 0.0995642i | \(-0.968255\pi\) | ||
0.995031 | − | 0.0995642i | \(-0.0317449\pi\) | |||||||
\(434\) | 9.80385 | + | 20.1962i | 0.470600 | + | 0.969446i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 27.5885 | + | 15.9282i | 1.32125 | + | 0.762823i | ||||
\(437\) | 32.7846i | 1.56830i | ||||||||
\(438\) | −0.588457 | + | 2.19615i | −0.0281176 | + | 0.104936i | ||||
\(439\) | 15.7128 | 0.749932 | 0.374966 | − | 0.927039i | \(-0.377654\pi\) | ||||
0.374966 | + | 0.927039i | \(0.377654\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.09808 | − | 1.09808i | −0.194926 | − | 0.0522302i | ||||
\(443\) | 26.0000i | 1.23530i | 0.786454 | + | 0.617649i | \(0.211915\pi\) | ||||
−0.786454 | + | 0.617649i | \(0.788085\pi\) | |||||||
\(444\) | −7.60770 | − | 4.39230i | −0.361045 | − | 0.208450i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 14.0263 | + | 3.75833i | 0.664164 | + | 0.177962i | ||||
\(447\) | −29.3205 | −1.38681 | ||||||||
\(448\) | 16.0000 | − | 13.8564i | 0.755929 | − | 0.654654i | ||||
\(449\) | −1.92820 | −0.0909975 | −0.0454988 | − | 0.998964i | \(-0.514488\pi\) | ||||
−0.0454988 | + | 0.998964i | \(0.514488\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.9282 | 0.608765 | ||||||||
\(452\) | 2.53590 | + | 1.46410i | 0.119279 | + | 0.0688655i | ||||
\(453\) | − | 8.32051i | − | 0.390932i | ||||||
\(454\) | −4.56218 | − | 1.22243i | −0.214114 | − | 0.0573716i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −20.7846 | − | 20.7846i | −0.973329 | − | 0.973329i | ||||
\(457\) | −27.4641 | −1.28472 | −0.642358 | − | 0.766405i | \(-0.722044\pi\) | ||||
−0.642358 | + | 0.766405i | \(0.722044\pi\) | |||||||
\(458\) | −5.66025 | + | 21.1244i | −0.264486 | + | 0.987076i | ||||
\(459\) | 2.41154i | 0.112561i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 27.7128i | 1.29071i | 0.763881 | + | 0.645357i | \(0.223291\pi\) | ||||
−0.763881 | + | 0.645357i | \(0.776709\pi\) | |||||||
\(462\) | −21.7583 | + | 10.5622i | −1.01229 | + | 0.491397i | ||||
\(463\) | − | 4.39230i | − | 0.204128i | −0.994778 | − | 0.102064i | \(-0.967455\pi\) | ||
0.994778 | − | 0.102064i | \(-0.0325446\pi\) | |||||||
\(464\) | −11.8564 | − | 20.5359i | −0.550420 | − | 0.953355i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.3205 | + | 8.39230i | 1.45089 | + | 0.388766i | ||||
\(467\) | 22.5167 | 1.04195 | 0.520973 | − | 0.853573i | \(-0.325569\pi\) | ||||
0.520973 | + | 0.853573i | \(0.325569\pi\) | |||||||
\(468\) | 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 | ||||
\(473\) | 7.46410 | 0.343200 | ||||||||
\(474\) | −1.68653 | + | 6.29423i | −0.0774650 | + | 0.289103i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.41154 | − | 0.464102i | 0.110533 | − | 0.0212721i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.2417 | + | 38.2224i | −0.468443 | + | 1.74825i | ||||
\(479\) | −37.1769 | −1.69866 | −0.849328 | − | 0.527865i | \(-0.822993\pi\) | ||||
−0.849328 | + | 0.527865i | \(0.822993\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.3923i | 0.747425i | ||||||||
\(482\) | −1.60770 | + | 6.00000i | −0.0732285 | + | 0.273293i | ||||
\(483\) | −18.9282 | + | 16.3923i | −0.861263 | + | 0.745876i | ||||
\(484\) | −5.07180 | − | 2.92820i | −0.230536 | − | 0.133100i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 28.7846i | − | 1.30436i | −0.758066 | − | 0.652178i | \(-0.773856\pi\) | ||
0.758066 | − | 0.652178i | \(-0.226144\pi\) | |||||||
\(488\) | 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 | \(-0.720254\pi\) | ||
0.638037 | − | 0.770005i | \(-0.279746\pi\) | |||||||
\(492\) | −6.00000 | + | 10.3923i | −0.270501 | + | 0.468521i | ||||
\(493\) | − | 2.75129i | − | 0.123912i | ||||||
\(494\) | −14.1962 | + | 52.9808i | −0.638715 | + | 2.38372i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.0000 | − | 20.7846i | −0.538816 | − | 0.933257i | ||||
\(497\) | 1.07180 | − | 0.928203i | 0.0480767 | − | 0.0416356i | ||||
\(498\) | 20.1962 | + | 5.41154i | 0.905011 | + | 0.242497i | ||||
\(499\) | − | 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 | ||||||||
\(502\) | 2.53590 | + | 0.679492i | 0.113183 | + | 0.0303272i | ||||
\(503\) | −15.5885 | −0.695055 | −0.347527 | − | 0.937670i | \(-0.612979\pi\) | ||||
−0.347527 | + | 0.937670i | \(0.612979\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −27.8564 | − | 7.46410i | −1.23837 | − | 0.331820i | ||||
\(507\) | 49.8564 | 2.21420 | ||||||||
\(508\) | −8.53590 | + | 14.7846i | −0.378719 | + | 0.655961i | ||||
\(509\) | 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 | ||||
\(513\) | 31.1769 | 1.37649 | ||||||||
\(514\) | −2.19615 | + | 8.19615i | −0.0968681 | + | 0.361517i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.46410 | + | 6.00000i | −0.152499 | + | 0.264135i | ||||
\(517\) | 6.46410i | 0.284291i | ||||||||
\(518\) | −4.14359 | − | 8.53590i | −0.182059 | − | 0.375046i | ||||
\(519\) | − | 35.1962i | − | 1.54494i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 34.3923i | − | 1.50675i | −0.657589 | − | 0.753377i | \(-0.728424\pi\) | ||
0.657589 | − | 0.753377i | \(-0.271576\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −24.2487 | −1.06032 | −0.530161 | − | 0.847897i | \(-0.677869\pi\) | ||||
−0.530161 | + | 0.847897i | \(0.677869\pi\) | |||||||
\(524\) | 16.3923 | + | 9.46410i | 0.716101 | + | 0.413441i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.66025 | + | 6.19615i | −0.0723905 | + | 0.270165i | ||||
\(527\) | − | 2.78461i | − | 0.121300i | ||||||
\(528\) | 22.3923 | − | 12.9282i | 0.974500 | − | 0.562628i | ||||
\(529\) | −6.85641 | −0.298105 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.00000 | − | 31.1769i | −0.260133 | − | 1.35169i | ||||
\(533\) | 22.3923 | 0.969918 | ||||||||
\(534\) | −6.00000 | + | 22.3923i | −0.259645 | + | 0.969010i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 6.92820 | − | 6.92820i | 0.299253 | − | 0.299253i | ||||
\(537\) | − | 24.9282i | − | 1.07573i | ||||||
\(538\) | −4.39230 | + | 16.3923i | −0.189366 | + | 0.706722i | ||||
\(539\) | −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 | \(0.758742\pi\) | |||||||
\(542\) | 3.46410 | + | 0.928203i | 0.148796 | + | 0.0398697i | ||||
\(543\) | 22.3923i | 0.960946i | ||||||||
\(544\) | −2.53590 | + | 0.679492i | −0.108726 | + | 0.0291330i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −37.6865 | + | 18.2942i | −1.61283 | + | 0.782921i | ||||
\(547\) | − | 14.5359i | − | 0.621510i | −0.950490 | − | 0.310755i | \(-0.899418\pi\) | ||
0.950490 | − | 0.310755i | \(-0.100582\pi\) | |||||||
\(548\) | 0.679492 | + | 0.392305i | 0.0290265 | + | 0.0167584i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.5692 | −1.51530 | ||||||||
\(552\) | 18.9282 | − | 18.9282i | 0.805638 | − | 0.805638i | ||||
\(553\) | −5.32051 | + | 4.60770i | −0.226251 | + | 0.195939i | ||||
\(554\) | 33.8564 | + | 9.07180i | 1.43842 | + | 0.385424i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.0000 | − | 6.92820i | −0.508913 | − | 0.293821i | ||||
\(557\) | −5.85641 | −0.248144 | −0.124072 | − | 0.992273i | \(-0.539595\pi\) | ||||
−0.124072 | + | 0.992273i | \(0.539595\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.9282 | 0.546805 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.00000 | 0.126660 | ||||||||
\(562\) | 8.09808 | + | 2.16987i | 0.341597 | + | 0.0915306i | ||||
\(563\) | 43.1769 | 1.81969 | 0.909845 | − | 0.414948i | \(-0.136200\pi\) | ||||
0.909845 | + | 0.414948i | \(0.136200\pi\) | |||||||
\(564\) | −5.19615 | − | 3.00000i | −0.218797 | − | 0.126323i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 16.5622 | + | 4.43782i | 0.696160 | + | 0.186536i | ||||
\(567\) | 15.5885 | + | 18.0000i | 0.654654 | + | 0.755929i | ||||
\(568\) | −1.07180 | + | 1.07180i | −0.0449716 | + | 0.0449716i | ||||
\(569\) | 20.9282 | 0.877356 | 0.438678 | − | 0.898644i | \(-0.355447\pi\) | ||||
0.438678 | + | 0.898644i | \(0.355447\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 41.3205i | − | 1.72921i | −0.502453 | − | 0.864605i | \(-0.667569\pi\) | ||
0.502453 | − | 0.864605i | \(-0.332431\pi\) | |||||||
\(572\) | −41.7846 | − | 24.1244i | −1.74710 | − | 1.00869i | ||||
\(573\) | 5.53590i | 0.231265i | ||||||||
\(574\) | −11.6603 | + | 5.66025i | −0.486690 | + | 0.236254i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 1.39230i | − | 0.0579624i | −0.999580 | − | 0.0289812i | \(-0.990774\pi\) | ||
0.999580 | − | 0.0289812i | \(-0.00922630\pi\) | |||||||
\(578\) | 22.9282 | + | 6.14359i | 0.953688 | + | 0.255540i | ||||
\(579\) | −4.39230 | −0.182538 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.7846 | + | 17.0718i | 0.613369 | + | 0.708257i | ||||
\(582\) | 4.68653 | − | 17.4904i | 0.194263 | − | 0.725000i | ||||
\(583\) | − | 7.46410i | − | 0.309132i | ||||||
\(584\) | 1.85641 | − | 1.85641i | 0.0768186 | − | 0.0768186i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.24167 | − | 19.5622i | 0.216531 | − | 0.808106i | ||||
\(587\) | 27.4641 | 1.13356 | 0.566782 | − | 0.823868i | \(-0.308188\pi\) | ||||
0.566782 | + | 0.823868i | \(0.308188\pi\) | |||||||
\(588\) | 15.0000 | − | 19.0526i | 0.618590 | − | 0.785714i | ||||
\(589\) | −36.0000 | −1.48335 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 36.9282 | 1.51902 | ||||||||
\(592\) | 5.07180 | + | 8.78461i | 0.208450 | + | 0.361045i | ||||
\(593\) | 23.5359i | 0.966504i | 0.875481 | + | 0.483252i | \(0.160544\pi\) | ||||
−0.875481 | + | 0.483252i | \(0.839456\pi\) | |||||||
\(594\) | −7.09808 | + | 26.4904i | −0.291238 | + | 1.08691i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 29.3205 | + | 16.9282i | 1.20101 | + | 0.693406i | ||||
\(597\) | 6.00000 | 0.245564 | ||||||||
\(598\) | −48.2487 | − | 12.9282i | −1.97304 | − | 0.528674i | ||||
\(599\) | 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 | \(-0.816042\pi\) | ||
0.837600 | − | 0.546284i | \(-0.183958\pi\) | |||||||
\(602\) | −6.73205 | + | 3.26795i | −0.274378 | + | 0.133192i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.80385 | + | 8.32051i | −0.195466 | + | 0.338557i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.41154 | − | 20.1962i | 0.219829 | − | 0.820413i | ||||
\(607\) | 18.8038 | 0.763225 | 0.381612 | − | 0.924322i | \(-0.375369\pi\) | ||||
0.381612 | + | 0.924322i | \(0.375369\pi\) | |||||||
\(608\) | 8.78461 | + | 32.7846i | 0.356263 | + | 1.32959i | ||||
\(609\) | −17.7846 | − | 20.5359i | −0.720669 | − | 0.832157i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.1962i | 0.452948i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.0000 | 0.403896 | 0.201948 | − | 0.979396i | \(-0.435273\pi\) | ||||
0.201948 | + | 0.979396i | \(0.435273\pi\) | |||||||
\(614\) | 2.36603 | + | 0.633975i | 0.0954850 | + | 0.0255851i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 27.8564 | + | 2.00000i | 1.12237 | + | 0.0805823i | ||||
\(617\) | 9.07180 | 0.365217 | 0.182608 | − | 0.983186i | \(-0.441546\pi\) | ||||
0.182608 | + | 0.983186i | \(0.441546\pi\) | |||||||
\(618\) | −40.6865 | − | 10.9019i | −1.63665 | − | 0.438540i | ||||
\(619\) | 35.3205 | 1.41965 | 0.709826 | − | 0.704378i | \(-0.248774\pi\) | ||||
0.709826 | + | 0.704378i | \(0.248774\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 28.3923i | 1.13934i | ||||||||
\(622\) | −27.1244 | − | 7.26795i | −1.08759 | − | 0.291418i | ||||
\(623\) | −18.9282 | + | 16.3923i | −0.758342 | + | 0.656744i | ||||
\(624\) | 38.7846 | − | 22.3923i | 1.55263 | − | 0.896410i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.95448 | − | 33.4186i | 0.357893 | − | 1.33568i | ||||
\(627\) | − | 38.7846i | − | 1.54891i | ||||||
\(628\) | 19.8564 | − | 34.3923i | 0.792357 | − | 1.37240i | ||||
\(629\) | 1.17691i | 0.0469267i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 26.9090i | − | 1.07123i | −0.844463 | − | 0.535614i | \(-0.820080\pi\) | ||
0.844463 | − | 0.535614i | \(-0.179920\pi\) | |||||||
\(632\) | 5.32051 | − | 5.32051i | 0.211638 | − | 0.211638i | ||||
\(633\) | 12.4641i | 0.495404i | ||||||||
\(634\) | 23.1244 | + | 6.19615i | 0.918385 | + | 0.246081i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 6.00000 | + | 3.46410i | 0.237915 | + | 0.137361i | ||||
\(637\) | −44.7846 | − | 6.46410i | −1.77443 | − | 0.256117i | ||||
\(638\) | 8.09808 | − | 30.2224i | 0.320606 | − | 1.19652i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.92820 | −0.194652 | −0.0973262 | − | 0.995253i | \(-0.531029\pi\) | ||||
−0.0973262 | + | 0.995253i | \(0.531029\pi\) | |||||||
\(642\) | −11.6603 | + | 43.5167i | −0.460194 | + | 1.71747i | ||||
\(643\) | 31.0526 | 1.22459 | 0.612297 | − | 0.790628i | \(-0.290246\pi\) | ||||
0.612297 | + | 0.790628i | \(0.290246\pi\) | |||||||
\(644\) | 28.3923 | − | 5.46410i | 1.11881 | − | 0.215316i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.01924 | + | 3.80385i | −0.0401014 | + | 0.149660i | ||||
\(647\) | −10.3923 | −0.408564 | −0.204282 | − | 0.978912i | \(-0.565486\pi\) | ||||
−0.204282 | + | 0.978912i | \(0.565486\pi\) | |||||||
\(648\) | −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 | ||||
\(652\) | 20.7846 | − | 36.0000i | 0.813988 | − | 1.40987i | ||||
\(653\) | −38.3923 | −1.50241 | −0.751203 | − | 0.660071i | \(-0.770526\pi\) | ||||
−0.751203 | + | 0.660071i | \(0.770526\pi\) | |||||||
\(654\) | −37.6865 | − | 10.0981i | −1.47366 | − | 0.394866i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 12.0000 | − | 6.92820i | 0.468521 | − | 0.270501i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.83013 | − | 5.83013i | −0.110330 | − | 0.227282i | ||||
\(659\) | − | 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 | \(0.0988499\pi\) | ||||
−0.952167 | + | 0.305579i | \(0.901150\pi\) | |||||||
\(662\) | 2.05256 | − | 7.66025i | 0.0797750 | − | 0.297724i | ||||
\(663\) | 5.19615 | 0.201802 | ||||||||
\(664\) | −17.0718 | − | 17.0718i | −0.662514 | − | 0.662514i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 32.3923i | − | 1.25424i | ||||||
\(668\) | −9.00000 | − | 5.19615i | −0.348220 | − | 0.201045i | ||||
\(669\) | −17.7846 | −0.687593 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.46410 | 0.365358 | ||||||||
\(672\) | −14.5359 | + | 21.4641i | −0.560734 | + | 0.827996i | ||||
\(673\) | −49.1769 | −1.89563 | −0.947815 | − | 0.318820i | \(-0.896714\pi\) | ||||
−0.947815 | + | 0.318820i | \(0.896714\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −49.8564 | − | 28.7846i | −1.91755 | − | 1.10710i | ||||
\(677\) | − | 4.60770i | − | 0.177088i | −0.996072 | − | 0.0885441i | \(-0.971779\pi\) | ||
0.996072 | − | 0.0885441i | \(-0.0282214\pi\) | |||||||
\(678\) | −3.46410 | − | 0.928203i | −0.133038 | − | 0.0356474i | ||||
\(679\) | 14.7846 | − | 12.8038i | 0.567381 | − | 0.491367i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.78461 | 0.221667 | ||||||||
\(682\) | 8.19615 | − | 30.5885i | 0.313847 | − | 1.17129i | ||||
\(683\) | 27.3205i | 1.04539i | 0.852520 | + | 0.522695i | \(0.175073\pi\) | ||||
−0.852520 | + | 0.522695i | \(0.824927\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 24.9545 | − | 7.95448i | 0.952767 | − | 0.303704i | ||||
\(687\) | − | 26.7846i | − | 1.02190i | ||||||
\(688\) | 6.92820 | − | 4.00000i | 0.264135 | − | 0.152499i | ||||
\(689\) | − | 12.9282i | − | 0.492525i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 46.6410 | 1.77431 | 0.887154 | − | 0.461474i | \(-0.152679\pi\) | ||||
0.887154 | + | 0.461474i | \(0.152679\pi\) | |||||||
\(692\) | −20.3205 | + | 35.1962i | −0.772470 | + | 1.33796i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.21539 | + | 19.4641i | −0.197974 | + | 0.738847i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 20.5359 | + | 20.5359i | 0.778411 | + | 0.778411i | ||||
\(697\) | 1.60770 | 0.0608958 | ||||||||
\(698\) | 10.7321 | − | 40.0526i | 0.406214 | − | 1.51601i | ||||
\(699\) | −39.7128 | −1.50208 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.78461 | 0.142943 | 0.0714714 | − | 0.997443i | \(-0.477231\pi\) | ||||
0.0714714 | + | 0.997443i | \(0.477231\pi\) | |||||||
\(702\) | −12.2942 | + | 45.8827i | −0.464016 | + | 1.73173i | ||||
\(703\) | 15.2154 | 0.573859 | ||||||||
\(704\) | −29.8564 | −1.12526 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.90192 | + | 18.2942i | −0.184486 | + | 0.688512i | ||||
\(707\) | 17.0718 | − | 14.7846i | 0.642051 | − | 0.556032i | ||||
\(708\) | −10.3923 | − | 6.00000i | −0.390567 | − | 0.225494i | ||||
\(709\) | 21.0000 | 0.788672 | 0.394336 | − | 0.918966i | \(-0.370975\pi\) | ||||
0.394336 | + | 0.918966i | \(0.370975\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.9282 | − | 18.9282i | 0.709364 | − | 0.709364i | ||||
\(713\) | − | 32.7846i | − | 1.22779i | ||||||
\(714\) | −2.70577 | + | 1.31347i | −0.101261 | + | 0.0491552i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −14.3923 | + | 24.9282i | −0.537866 | + | 0.931611i | ||||
\(717\) | − | 48.4641i | − | 1.80993i | ||||||
\(718\) | 3.41154 | − | 12.7321i | 0.127318 | − | 0.475156i | ||||
\(719\) | 45.4641 | 1.69552 | 0.847762 | − | 0.530376i | \(-0.177949\pi\) | ||||
0.847762 | + | 0.530376i | \(0.177949\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.7846 | − | 34.3923i | −1.10924 | − | 1.28084i | ||||
\(722\) | 23.2224 | + | 6.22243i | 0.864249 | + | 0.231575i | ||||
\(723\) | − | 7.60770i | − | 0.282933i | ||||||
\(724\) | 12.9282 | − | 22.3923i | 0.480473 | − | 0.832203i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.92820 | + | 1.85641i | 0.257130 | + | 0.0688977i | ||||
\(727\) | 34.3923 | 1.27554 | 0.637770 | − | 0.770227i | \(-0.279857\pi\) | ||||
0.637770 | + | 0.770227i | \(0.279857\pi\) | |||||||
\(728\) | 48.2487 | + | 3.46410i | 1.78822 | + | 0.128388i | ||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.928203 | 0.0343308 | ||||||||
\(732\) | −4.39230 | + | 7.60770i | −0.162344 | + | 0.281189i | ||||
\(733\) | 18.4641i | 0.681987i | 0.940066 | + | 0.340994i | \(0.110763\pi\) | ||||
−0.940066 | + | 0.340994i | \(0.889237\pi\) | |||||||
\(734\) | −49.3468 | − | 13.2224i | −1.82142 | − | 0.488049i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −29.8564 | + | 8.00000i | −1.10052 | + | 0.294884i | ||||
\(737\) | 12.9282 | 0.476216 | ||||||||
\(738\) | 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 | ||||||
\(742\) | 3.26795 | + | 6.73205i | 0.119970 | + | 0.247141i | ||||
\(743\) | − | 9.60770i | − | 0.352472i | −0.984348 | − | 0.176236i | \(-0.943608\pi\) | ||
0.984348 | − | 0.176236i | \(-0.0563922\pi\) | |||||||
\(744\) | 20.7846 | + | 20.7846i | 0.762001 | + | 0.762001i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 33.3205 | + | 8.92820i | 1.21995 | + | 0.326885i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.00000 | − | 1.73205i | −0.109691 | − | 0.0633300i | ||||
\(749\) | −36.7846 | + | 31.8564i | −1.34408 | + | 1.16401i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.58846i | 0.203926i | 0.994788 | + | 0.101963i | \(0.0325123\pi\) | ||||
−0.994788 | + | 0.101963i | \(0.967488\pi\) | |||||||
\(752\) | 3.46410 | + | 6.00000i | 0.126323 | + | 0.218797i | ||||
\(753\) | −3.21539 | −0.117175 | ||||||||
\(754\) | 14.0263 | − | 52.3468i | 0.510807 | − | 1.90636i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −5.19615 | − | 27.0000i | −0.188982 | − | 0.981981i | ||||
\(757\) | −10.1436 | −0.368675 | −0.184338 | − | 0.982863i | \(-0.559014\pi\) | ||||
−0.184338 | + | 0.982863i | \(0.559014\pi\) | |||||||
\(758\) | −9.66025 | + | 36.0526i | −0.350876 | + | 1.30949i | ||||
\(759\) | 35.3205 | 1.28205 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 6.24871i | − | 0.226516i | −0.993566 | − | 0.113258i | \(-0.963871\pi\) | ||
0.993566 | − | 0.113258i | \(-0.0361286\pi\) | |||||||
\(762\) | 5.41154 | − | 20.1962i | 0.196040 | − | 0.731629i | ||||
\(763\) | −27.5885 | − | 31.8564i | −0.998769 | − | 1.15328i | ||||
\(764\) | 3.19615 | − | 5.53590i | 0.115633 | − | 0.200282i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.0526 | − | 7.51666i | −1.01358 | − | 0.271588i | ||||
\(767\) | 22.3923i | 0.808539i | ||||||||
\(768\) | 13.8564 | − | 24.0000i | 0.500000 | − | 0.866025i | ||||
\(769\) | − | 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 | ||||||
\(772\) | 4.39230 | + | 2.53590i | 0.158083 | + | 0.0912690i | ||||
\(773\) | − | 12.4641i | − | 0.448303i | −0.974554 | − | 0.224151i | \(-0.928039\pi\) | ||
0.974554 | − | 0.224151i | \(-0.0719610\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −14.7846 | + | 14.7846i | −0.530737 | + | 0.530737i | ||||
\(777\) | 7.60770 | + | 8.78461i | 0.272925 | + | 0.315146i | ||||
\(778\) | 9.36603 | + | 2.50962i | 0.335788 | + | 0.0899742i | ||||
\(779\) | − | 20.7846i | − | 0.744686i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.00000 | −0.0715656 | ||||||||
\(782\) | −3.46410 | − | 0.928203i | −0.123876 | − | 0.0331925i | ||||
\(783\) | −30.8038 | −1.10084 | ||||||||
\(784\) | −26.0000 | + | 10.3923i | −0.928571 | + | 0.371154i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −22.3923 | − | 6.00000i | −0.798707 | − | 0.214013i | ||||
\(787\) | −15.3397 | −0.546803 | −0.273401 | − | 0.961900i | \(-0.588149\pi\) | ||||
−0.273401 | + | 0.961900i | \(0.588149\pi\) | |||||||
\(788\) | −36.9282 | − | 21.3205i | −1.31551 | − | 0.759512i | ||||
\(789\) | − | 7.85641i | − | 0.279695i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.53590 | − | 2.92820i | −0.0901662 | − | 0.104115i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.3923 | 0.582108 | ||||||||
\(794\) | −2.02628 | + | 7.56218i | −0.0719100 | + | 0.268372i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.00000 | − | 3.46410i | −0.212664 | − | 0.122782i | ||||
\(797\) | 40.1769i | 1.42314i | 0.702616 | + | 0.711570i | \(0.252015\pi\) | ||||
−0.702616 | + | 0.711570i | \(0.747985\pi\) | |||||||
\(798\) | 16.9808 | + | 34.9808i | 0.601112 | + | 1.23831i | ||||
\(799\) | 0.803848i | 0.0284381i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −32.6865 | − | 8.75833i | −1.15420 | − | 0.309267i | ||||
\(803\) | 3.46410 | 0.122245 | ||||||||
\(804\) | −6.00000 | + | 10.3923i | −0.211604 | + | 0.366508i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 14.1962 | − | 52.9808i | 0.500038 | − | 1.86617i | ||||
\(807\) | − | 20.7846i | − | 0.731653i | ||||||
\(808\) | −17.0718 | + | 17.0718i | −0.600584 | + | 0.600584i | ||||
\(809\) | −5.92820 | −0.208425 | −0.104212 | − | 0.994555i | \(-0.533232\pi\) | ||||
−0.104212 | + | 0.994555i | \(0.533232\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 42.9282 | 1.50741 | 0.753707 | − | 0.657211i | \(-0.228264\pi\) | ||||
0.753707 | + | 0.657211i | \(0.228264\pi\) | |||||||
\(812\) | 5.92820 | + | 30.8038i | 0.208039 | + | 1.08100i | ||||
\(813\) | −4.39230 | −0.154045 | ||||||||
\(814\) | −3.46410 | + | 12.9282i | −0.121417 | + | 0.453133i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 2.78461 | − | 1.60770i | 0.0974808 | − | 0.0562806i | ||||
\(817\) | − | 12.0000i | − | 0.419827i | ||||||
\(818\) | 11.6603 | − | 43.5167i | 0.407691 | − | 1.52152i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.7846 | −0.481086 | −0.240543 | − | 0.970638i | \(-0.577326\pi\) | ||||
−0.240543 | + | 0.970638i | \(0.577326\pi\) | |||||||
\(822\) | −0.928203 | − | 0.248711i | −0.0323748 | − | 0.00867480i | ||||
\(823\) | − | 24.9282i | − | 0.868943i | −0.900686 | − | 0.434471i | \(-0.856935\pi\) | ||
0.900686 | − | 0.434471i | \(-0.143065\pi\) | |||||||
\(824\) | 34.3923 | + | 34.3923i | 1.19811 | + | 1.19811i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.66025 | − | 11.6603i | −0.196945 | − | 0.405712i | ||||
\(827\) | − | 41.8564i | − | 1.45549i | −0.685848 | − | 0.727745i | \(-0.740568\pi\) | ||
0.685848 | − | 0.727745i | \(-0.259432\pi\) | |||||||
\(828\) | 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 | ||||||||
\(832\) | −51.7128 | −1.79282 | ||||||||
\(833\) | −3.21539 | − | 0.464102i | −0.111407 | − | 0.0160802i | ||||
\(834\) | 16.3923 | + | 4.39230i | 0.567619 | + | 0.152093i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −22.3923 | + | 38.7846i | −0.774454 | + | 1.34139i | ||||
\(837\) | −31.1769 | −1.07763 | ||||||||
\(838\) | 33.1244 | + | 8.87564i | 1.14426 | + | 0.306604i | ||||
\(839\) | −16.3923 | −0.565925 | −0.282963 | − | 0.959131i | \(-0.591317\pi\) | ||||
−0.282963 | + | 0.959131i | \(0.591317\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.14359 | 0.211848 | ||||||||
\(842\) | 25.9545 | + | 6.95448i | 0.894451 | + | 0.239667i | ||||
\(843\) | −10.2679 | −0.353647 | ||||||||
\(844\) | 7.19615 | − | 12.4641i | 0.247702 | − | 0.429032i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.07180 | + | 5.85641i | 0.174269 | + | 0.201229i | ||||
\(848\) | −4.00000 | − | 6.92820i | −0.137361 | − | 0.237915i | ||||
\(849\) | −21.0000 | −0.720718 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.8564i | 0.474991i | ||||||||
\(852\) | 0.928203 | − | 1.60770i | 0.0317997 | − | 0.0550787i | ||||
\(853\) | 38.7846i | 1.32796i | 0.747750 | + | 0.663980i | \(0.231134\pi\) | ||||
−0.747750 | + | 0.663980i | \(0.768866\pi\) | |||||||
\(854\) | −8.53590 | + | 4.14359i | −0.292092 | + | 0.141791i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 36.7846 | − | 36.7846i | 1.25727 | − | 1.25727i | ||||
\(857\) | 2.28719i | 0.0781288i | 0.999237 | + | 0.0390644i | \(0.0124378\pi\) | ||||
−0.999237 | + | 0.0390644i | \(0.987562\pi\) | |||||||
\(858\) | 57.0788 | + | 15.2942i | 1.94864 | + | 0.522136i | ||||
\(859\) | −15.7128 | −0.536114 | −0.268057 | − | 0.963403i | \(-0.586382\pi\) | ||||
−0.268057 | + | 0.963403i | \(0.586382\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.0000 | − | 10.3923i | 0.408959 | − | 0.354169i | ||||
\(862\) | −6.43782 | + | 24.0263i | −0.219273 | + | 0.818338i | ||||
\(863\) | 12.1436i | 0.413373i | 0.978407 | + | 0.206686i | \(0.0662680\pi\) | ||||
−0.978407 | + | 0.206686i | \(0.933732\pi\) | |||||||
\(864\) | 7.60770 | + | 28.3923i | 0.258819 | + | 0.965926i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.51666 | − | 5.66025i | 0.0515382 | − | 0.192343i | ||||
\(867\) | −29.0718 | −0.987330 | ||||||||
\(868\) | 6.00000 | + | 31.1769i | 0.203653 | + | 1.05821i | ||||
\(869\) | 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 | ||||
\(877\) | −2.39230 | −0.0807824 | −0.0403912 | − | 0.999184i | \(-0.512860\pi\) | ||||
−0.0403912 | + | 0.999184i | \(0.512860\pi\) | |||||||
\(878\) | 21.4641 | + | 5.75129i | 0.724378 | + | 0.194097i | ||||
\(879\) | 24.8038i | 0.836613i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 42.9282i | 1.44629i | 0.690697 | + | 0.723144i | \(0.257304\pi\) | ||||
−0.690697 | + | 0.723144i | \(0.742696\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.3923i | 1.49392i | 0.664869 | + | 0.746960i | \(0.268487\pi\) | ||||
−0.664869 | + | 0.746960i | \(0.731513\pi\) | |||||||
\(884\) | −5.19615 | − | 3.00000i | −0.174766 | − | 0.100901i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.51666 | + | 35.5167i | −0.319718 | + | 1.19321i | ||||
\(887\) | 15.4641 | 0.519234 | 0.259617 | − | 0.965712i | \(-0.416404\pi\) | ||||
0.259617 | + | 0.965712i | \(0.416404\pi\) | |||||||
\(888\) | −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 | ||||||
\(892\) | 17.7846 | + | 10.2679i | 0.595473 | + | 0.343796i | ||||
\(893\) | 10.3923 | 0.347765 | ||||||||
\(894\) | −40.0526 | − | 10.7321i | −1.33956 | − | 0.358933i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 26.9282 | − | 13.0718i | 0.899608 | − | 0.436698i | ||||
\(897\) | 61.1769 | 2.04264 | ||||||||
\(898\) | −2.63397 | − | 0.705771i | −0.0878969 | − | 0.0235519i | ||||
\(899\) | 35.5692 | 1.18630 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 0.928203i | − | 0.0309229i | ||||||
\(902\) | 17.6603 | + | 4.73205i | 0.588022 | + | 0.157560i | ||||
\(903\) | 6.92820 | − | 6.00000i | 0.230556 | − | 0.199667i | ||||
\(904\) | 2.92820 | + | 2.92820i | 0.0973906 | + | 0.0973906i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.04552 | − | 11.3660i | 0.101181 | − | 0.377611i | ||||
\(907\) | 11.6077i | 0.385427i | 0.981255 | + | 0.192714i | \(0.0617288\pi\) | ||||
−0.981255 | + | 0.192714i | \(0.938271\pi\) | |||||||
\(908\) | −5.78461 | − | 3.33975i | −0.191969 | − | 0.110833i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 28.2487i | 0.935922i | 0.883749 | + | 0.467961i | \(0.155011\pi\) | ||||
−0.883749 | + | 0.467961i | \(0.844989\pi\) | |||||||
\(912\) | −20.7846 | − | 36.0000i | −0.688247 | − | 1.19208i | ||||
\(913\) | − | 31.8564i | − | 1.05429i | ||||||
\(914\) | −37.5167 | − | 10.0526i | −1.24094 | − | 0.332509i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.4641 | + | 26.7846i | −0.510948 | + | 0.884988i | ||||
\(917\) | −16.3923 | − | 18.9282i | −0.541322 | − | 0.625064i | ||||
\(918\) | −0.882686 | + | 3.29423i | −0.0291330 | + | 0.108726i | ||||
\(919\) | − | 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 | ||||||||
\(922\) | −10.1436 | + | 37.8564i | −0.334061 | + | 1.24673i | ||||
\(923\) | −3.46410 | −0.114022 | ||||||||
\(924\) | −33.5885 | + | 6.46410i | −1.10498 | + | 0.212653i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 1.60770 | − | 6.00000i | 0.0528321 | − | 0.197172i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −8.67949 | − | 32.3923i | −0.284918 | − | 1.06333i | ||||
\(929\) | − | 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 | ||||
\(932\) | 39.7128 | + | 22.9282i | 1.30084 | + | 0.751038i | ||||
\(933\) | 34.3923 | 1.12595 | ||||||||
\(934\) | 30.7583 | + | 8.24167i | 1.00644 | + | 0.269676i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 4.60770i | − | 0.150527i | −0.997164 | − | 0.0752634i | \(-0.976020\pi\) | ||
0.997164 | − | 0.0752634i | \(-0.0239798\pi\) | |||||||
\(938\) | −11.6603 | + | 5.66025i | −0.380721 | + | 0.184814i | ||||
\(939\) | 42.3731i | 1.38279i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 51.0333i | 1.66364i | 0.555046 | + | 0.831819i | \(0.312700\pi\) | ||||
−0.555046 | + | 0.831819i | \(0.687300\pi\) | |||||||
\(942\) | −12.5885 | + | 46.9808i | −0.410154 | + | 1.53072i | ||||
\(943\) | 18.9282 | 0.616387 | ||||||||
\(944\) | 6.92820 | + | 12.0000i | 0.225494 | + | 0.390567i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.1962 | + | 2.73205i | 0.331506 | + | 0.0888266i | ||||
\(947\) | 18.7846i | 0.610418i | 0.952285 | + | 0.305209i | \(0.0987263\pi\) | ||||
−0.952285 | + | 0.305209i | \(0.901274\pi\) | |||||||
\(948\) | −4.60770 | + | 7.98076i | −0.149651 | + | 0.259203i | ||||
\(949\) | 6.00000 | 0.194768 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −29.3205 | −0.950783 | ||||||||
\(952\) | 3.46410 | + | 0.248711i | 0.112272 | + | 0.00806078i | ||||
\(953\) | 13.3205 | 0.431494 | 0.215747 | − | 0.976449i | \(-0.430781\pi\) | ||||
0.215747 | + | 0.976449i | \(0.430781\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −27.9808 | + | 48.4641i | −0.904963 | + | 1.56744i | ||||
\(957\) | 38.3205i | 1.23873i | ||||||||
\(958\) | −50.7846 | − | 13.6077i | −1.64078 | − | 0.439645i | ||||
\(959\) | −0.679492 | − | 0.784610i | −0.0219419 | − | 0.0253364i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | −6.00000 | + | 22.3923i | −0.193448 | + | 0.721957i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.39230 | + | 7.60770i | −0.141467 | + | 0.245027i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −31.8564 | + | 15.4641i | −1.02496 | + | 0.497549i | ||||
\(967\) | 31.1769i | 1.00258i | 0.865279 | + | 0.501291i | \(0.167141\pi\) | ||||
−0.865279 | + | 0.501291i | \(0.832859\pi\) | |||||||
\(968\) | −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 | ||||||||
\(973\) | 12.0000 | + | 13.8564i | 0.384702 | + | 0.444216i | ||||
\(974\) | 10.5359 | − | 39.3205i | 0.337592 | − | 1.25991i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.78461 | − | 5.07180i | 0.281189 | − | 0.162344i | ||||
\(977\) | −44.2487 | −1.41564 | −0.707821 | − | 0.706392i | \(-0.750322\pi\) | ||||
−0.707821 | + | 0.706392i | \(0.750322\pi\) | |||||||
\(978\) | −13.1769 | + | 49.1769i | −0.421351 | + | 1.57250i | ||||
\(979\) | 35.3205 | 1.12885 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.4904 | − | 46.6147i | 0.398584 | − | 1.48754i | ||||
\(983\) | −3.58846 | −0.114454 | −0.0572270 | − | 0.998361i | \(-0.518226\pi\) | ||||
−0.0572270 | + | 0.998361i | \(0.518226\pi\) | |||||||
\(984\) | −12.0000 | + | 12.0000i | −0.382546 | + | 0.382546i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.00704 | − | 3.75833i | 0.0320707 | − | 0.119690i | ||||
\(987\) | 5.19615 | + | 6.00000i | 0.165395 | + | 0.190982i | ||||
\(988\) | −38.7846 | + | 67.1769i | −1.23390 | + | 2.13718i | ||||
\(989\) | 10.9282 | 0.347497 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 15.1769i | − | 0.482111i | −0.970511 | − | 0.241055i | \(-0.922506\pi\) | ||
0.970511 | − | 0.241055i | \(-0.0774935\pi\) | |||||||
\(992\) | −8.78461 | − | 32.7846i | −0.278912 | − | 1.04091i | ||||
\(993\) | 9.71281i | 0.308227i | ||||||||
\(994\) | 1.80385 | − | 0.875644i | 0.0572146 | − | 0.0277738i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 25.6077 | + | 14.7846i | 0.811411 | + | 0.468468i | ||||
\(997\) | 12.4641i | 0.394742i | 0.980329 | + | 0.197371i | \(0.0632404\pi\) | ||||
−0.980329 | + | 0.197371i | \(0.936760\pi\) | |||||||
\(998\) | 2.04552 | − | 7.63397i | 0.0647497 | − | 0.241649i | ||||
\(999\) | 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 \(a_p\))