Newspace parameters
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.i (of order \(4\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(10.4632421514\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.629407744.1 |
Defining polynomial: |
\( x^{8} - 2x^{6} + 2x^{4} - 8x^{2} + 16 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 48) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 353.3 | ||
Root | \(-0.767178 - 1.18804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 384.353 |
Dual form | 384.3.i.b.161.3 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.13234 | + | 2.77809i | 0.377447 | + | 0.926031i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −6.28651 | + | 6.28651i | −1.25730 | + | 1.25730i | −0.304927 | + | 0.952376i | \(0.598632\pi\) |
−0.952376 | + | 0.304927i | \(0.901368\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 1.64575i | − | 0.235107i | −0.993067 | − | 0.117554i | \(-0.962495\pi\) | ||
0.993067 | − | 0.117554i | \(-0.0375052\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −6.43560 | + | 6.29150i | −0.715067 | + | 0.699056i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.75216 | + | 4.75216i | −0.432014 | + | 0.432014i | −0.889313 | − | 0.457299i | \(-0.848817\pi\) |
0.457299 | + | 0.889313i | \(0.348817\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 9.35425 | − | 9.35425i | 0.719558 | − | 0.719558i | −0.248957 | − | 0.968515i | \(-0.580088\pi\) |
0.968515 | + | 0.248957i | \(0.0800878\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −24.5830 | − | 10.3460i | −1.63887 | − | 0.689736i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 11.4859i | − | 0.675644i | −0.941210 | − | 0.337822i | \(-0.890310\pi\) | ||
0.941210 | − | 0.337822i | \(-0.109690\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −8.58301 | + | 8.58301i | −0.451737 | + | 0.451737i | −0.895931 | − | 0.444194i | \(-0.853490\pi\) |
0.444194 | + | 0.895931i | \(0.353490\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.57205 | − | 1.86355i | 0.217717 | − | 0.0887406i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −16.2381 | −0.706004 | −0.353002 | − | 0.935623i | \(-0.614839\pi\) | ||||
−0.353002 | + | 0.935623i | \(0.614839\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | − | 54.0405i | − | 2.16162i | ||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −24.7657 | − | 10.7546i | −0.917248 | − | 0.398318i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 10.7405 | + | 10.7405i | 0.370362 | + | 0.370362i | 0.867609 | − | 0.497247i | \(-0.165656\pi\) |
−0.497247 | + | 0.867609i | \(0.665656\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.35425 | −0.204976 | −0.102488 | − | 0.994734i | \(-0.532680\pi\) | ||||
−0.102488 | + | 0.994734i | \(0.532680\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −18.5830 | − | 7.82087i | −0.563121 | − | 0.236996i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 10.3460 | + | 10.3460i | 0.295601 | + | 0.295601i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −27.2288 | − | 27.2288i | −0.735912 | − | 0.735912i | 0.235872 | − | 0.971784i | \(-0.424205\pi\) |
−0.971784 | + | 0.235872i | \(0.924205\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 36.5792 | + | 15.3948i | 0.937928 | + | 0.394738i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.98162 | 0.0483323 | 0.0241662 | − | 0.999708i | \(-0.492307\pi\) | ||||
0.0241662 | + | 0.999708i | \(0.492307\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −19.4170 | − | 19.4170i | −0.451558 | − | 0.451558i | 0.444313 | − | 0.895871i | \(-0.353448\pi\) |
−0.895871 | + | 0.444313i | \(0.853448\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.905893 | − | 80.0091i | 0.0201310 | − | 1.77798i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 74.9474i | 1.59463i | 0.603566 | + | 0.797313i | \(0.293746\pi\) | ||||
−0.603566 | + | 0.797313i | \(0.706254\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 46.2915 | 0.944725 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 31.9090 | − | 13.0060i | 0.625667 | − | 0.255020i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.00671 | + | 4.00671i | −0.0755983 | + | 0.0755983i | −0.743895 | − | 0.668297i | \(-0.767024\pi\) |
0.668297 | + | 0.743895i | \(0.267024\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 59.7490i | − | 1.08635i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −33.5633 | − | 14.1255i | −0.588830 | − | 0.247816i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −27.9694 | + | 27.9694i | −0.474058 | + | 0.474058i | −0.903225 | − | 0.429167i | \(-0.858807\pi\) |
0.429167 | + | 0.903225i | \(0.358807\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −39.2288 | + | 39.2288i | −0.643094 | + | 0.643094i | −0.951315 | − | 0.308221i | \(-0.900267\pi\) |
0.308221 | + | 0.951315i | \(0.400267\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 10.3542 | + | 10.5914i | 0.164353 | + | 0.168118i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 117.611i | 1.80940i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −68.6863 | + | 68.6863i | −1.02517 | + | 1.02517i | −0.0254932 | + | 0.999675i | \(0.508116\pi\) |
−0.999675 | + | 0.0254932i | \(0.991884\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −18.3871 | − | 45.1110i | −0.266479 | − | 0.653782i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −40.6822 | −0.572988 | −0.286494 | − | 0.958082i | \(-0.592490\pi\) | ||||
−0.286494 | + | 0.958082i | \(0.592490\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 59.0405i | 0.808774i | 0.914588 | + | 0.404387i | \(0.132515\pi\) | ||||
−0.914588 | + | 0.404387i | \(0.867485\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 150.130 | − | 61.1923i | 2.00173 | − | 0.815898i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 7.82087 | + | 7.82087i | 0.101570 | + | 0.101570i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −17.3948 | −0.220187 | −0.110093 | − | 0.993921i | \(-0.535115\pi\) | ||||
−0.110093 | + | 0.993921i | \(0.535115\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.83399 | − | 80.9792i | 0.0226418 | − | 0.999744i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −75.1400 | − | 75.1400i | −0.905301 | − | 0.905301i | 0.0905874 | − | 0.995889i | \(-0.471126\pi\) |
−0.995889 | + | 0.0905874i | \(0.971126\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 72.2065 | + | 72.2065i | 0.849489 | + | 0.849489i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −17.6762 | + | 42.0000i | −0.203174 | + | 0.482759i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 78.8051 | 0.885450 | 0.442725 | − | 0.896657i | \(-0.354012\pi\) | ||||
0.442725 | + | 0.896657i | \(0.354012\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.3948 | − | 15.3948i | −0.169173 | − | 0.169173i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.19518 | − | 17.6527i | −0.0773675 | − | 0.189814i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | − | 107.914i | − | 1.13594i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −38.8340 | −0.400350 | −0.200175 | − | 0.979760i | \(-0.564151\pi\) | ||||
−0.200175 | + | 0.979760i | \(0.564151\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.684791 | − | 60.4812i | 0.00691708 | − | 0.610921i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 41.5332 | − | 41.5332i | 0.411220 | − | 0.411220i | −0.470943 | − | 0.882164i | \(-0.656086\pi\) |
0.882164 | + | 0.470943i | \(0.156086\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 98.8118i | 0.959337i | 0.877450 | + | 0.479669i | \(0.159243\pi\) | ||||
−0.877450 | + | 0.479669i | \(0.840757\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −17.0270 | + | 40.4575i | −0.162162 | + | 0.385310i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −98.8480 | + | 98.8480i | −0.923813 | + | 0.923813i | −0.997296 | − | 0.0734837i | \(-0.976588\pi\) |
0.0734837 | + | 0.997296i | \(0.476588\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −68.8523 | + | 68.8523i | −0.631672 | + | 0.631672i | −0.948487 | − | 0.316815i | \(-0.897387\pi\) |
0.316815 | + | 0.948487i | \(0.397387\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 44.8118 | − | 106.476i | 0.403710 | − | 0.959246i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 8.31160i | − | 0.0735540i | −0.999323 | − | 0.0367770i | \(-0.988291\pi\) | ||
0.999323 | − | 0.0367770i | \(-0.0117091\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 102.081 | − | 102.081i | 0.887661 | − | 0.887661i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.34796 | + | 119.053i | −0.0115210 | + | 1.01754i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −18.9030 | −0.158849 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 75.8340i | 0.626727i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.24388 | + | 5.50514i | 0.0182429 | + | 0.0447572i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 182.564 | + | 182.564i | 1.46051 | + | 1.46051i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 195.933 | 1.54278 | 0.771391 | − | 0.636361i | \(-0.219561\pi\) | ||||
0.771391 | + | 0.636361i | \(0.219561\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 31.9555 | − | 75.9289i | 0.247717 | − | 0.588596i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 142.127 | + | 142.127i | 1.08494 | + | 1.08494i | 0.996041 | + | 0.0888967i | \(0.0283341\pi\) |
0.0888967 | + | 0.996041i | \(0.471666\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.1255 | + | 14.1255i | 0.106207 | + | 0.106207i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 223.299 | − | 88.0810i | 1.65406 | − | 0.652452i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −50.4847 | −0.368501 | −0.184251 | − | 0.982879i | \(-0.558986\pi\) | ||||
−0.184251 | + | 0.982879i | \(0.558986\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 171.727 | + | 171.727i | 1.23544 | + | 1.23544i | 0.961843 | + | 0.273601i | \(0.0882149\pi\) |
0.273601 | + | 0.961843i | \(0.411785\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −208.211 | + | 84.8661i | −1.47667 | + | 0.601887i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 88.9057i | 0.621718i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −135.041 | −0.931314 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 52.4178 | + | 128.602i | 0.356584 | + | 0.874844i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −84.4952 | + | 84.4952i | −0.567082 | + | 0.567082i | −0.931310 | − | 0.364228i | \(-0.881333\pi\) |
0.364228 | + | 0.931310i | \(0.381333\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 30.1033i | − | 0.199359i | −0.995020 | − | 0.0996797i | \(-0.968218\pi\) | ||
0.995020 | − | 0.0996797i | \(-0.0317818\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 72.2638 | + | 73.9190i | 0.472313 | + | 0.483130i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 39.9461 | − | 39.9461i | 0.257717 | − | 0.257717i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 181.265 | − | 181.265i | 1.15456 | − | 1.15456i | 0.168928 | − | 0.985628i | \(-0.445970\pi\) |
0.985628 | − | 0.168928i | \(-0.0540305\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −15.6680 | − | 6.59405i | −0.0985407 | − | 0.0414720i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 26.7239i | 0.165987i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 200.081 | − | 200.081i | 1.22749 | − | 1.22749i | 0.262581 | − | 0.964910i | \(-0.415426\pi\) |
0.964910 | − | 0.262581i | \(-0.0845737\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 165.988 | − | 67.6563i | 1.00599 | − | 0.410038i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −172.656 | −1.03387 | −0.516933 | − | 0.856026i | \(-0.672926\pi\) | ||||
−0.516933 | + | 0.856026i | \(0.672926\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 6.00394i | − | 0.0355263i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.23682 | − | 109.237i | 0.00723287 | − | 0.638812i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −40.8313 | − | 40.8313i | −0.236019 | − | 0.236019i | 0.579181 | − | 0.815199i | \(-0.303373\pi\) |
−0.815199 | + | 0.579181i | \(0.803373\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −88.9373 | −0.508213 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −109.373 | − | 46.0307i | −0.617924 | − | 0.260060i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −152.613 | − | 152.613i | −0.852584 | − | 0.852584i | 0.137866 | − | 0.990451i | \(-0.455976\pi\) |
−0.990451 | + | 0.137866i | \(0.955976\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −166.601 | − | 166.601i | −0.920449 | − | 0.920449i | 0.0766118 | − | 0.997061i | \(-0.475590\pi\) |
−0.997061 | + | 0.0766118i | \(0.975590\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −153.402 | − | 64.5608i | −0.838260 | − | 0.352791i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 342.348 | 1.85053 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 54.5830 | + | 54.5830i | 0.291888 | + | 0.291888i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −17.6994 | + | 40.7582i | −0.0936474 | + | 0.215652i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 14.3434i | − | 0.0750963i | −0.999295 | − | 0.0375482i | \(-0.988045\pi\) | ||
0.999295 | − | 0.0375482i | \(-0.0119548\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 207.373 | 1.07447 | 0.537235 | − | 0.843433i | \(-0.319469\pi\) | ||||
0.537235 | + | 0.843433i | \(0.319469\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −326.735 | + | 133.176i | −1.67556 | + | 0.682954i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 97.2608 | − | 97.2608i | 0.493710 | − | 0.493710i | −0.415763 | − | 0.909473i | \(-0.636486\pi\) |
0.909473 | + | 0.415763i | \(0.136486\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 82.7673i | 0.415916i | 0.978138 | + | 0.207958i | \(0.0666818\pi\) | ||||
−0.978138 | + | 0.207958i | \(0.933318\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −268.593 | − | 113.041i | −1.33628 | − | 0.562391i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 17.6762 | − | 17.6762i | 0.0870748 | − | 0.0870748i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.4575 | + | 12.4575i | −0.0607684 | + | 0.0607684i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 104.502 | − | 102.162i | 0.504840 | − | 0.493536i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 81.5756i | − | 0.390314i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −201.646 | + | 201.646i | −0.955667 | + | 0.955667i | −0.999058 | − | 0.0433911i | \(-0.986184\pi\) |
0.0433911 | + | 0.999058i | \(0.486184\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −46.0661 | − | 113.019i | −0.216273 | − | 0.530605i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 244.130 | 1.13549 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.4575i | 0.0481913i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −164.020 | + | 66.8541i | −0.748950 | + | 0.305270i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −107.442 | − | 107.442i | −0.486164 | − | 0.486164i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −233.261 | −1.04602 | −0.523008 | − | 0.852328i | \(-0.675190\pi\) | ||||
−0.523008 | + | 0.852328i | \(0.675190\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 339.996 | + | 347.783i | 1.51109 | + | 1.54570i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −94.3599 | − | 94.3599i | −0.415682 | − | 0.415682i | 0.468030 | − | 0.883712i | \(-0.344964\pi\) |
−0.883712 | + | 0.468030i | \(0.844964\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 138.063 | + | 138.063i | 0.602894 | + | 0.602894i | 0.941080 | − | 0.338185i | \(-0.109813\pi\) |
−0.338185 | + | 0.941080i | \(0.609813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.8712 | + | 30.5830i | −0.0557195 | + | 0.132394i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −396.796 | −1.70299 | −0.851493 | − | 0.524366i | \(-0.824303\pi\) | ||||
−0.851493 | + | 0.524366i | \(0.824303\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −471.158 | − | 471.158i | −2.00493 | − | 2.00493i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −19.6968 | − | 48.3243i | −0.0831090 | − | 0.203900i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 284.813i | 1.19168i | 0.803102 | + | 0.595842i | \(0.203182\pi\) | ||||
−0.803102 | + | 0.595842i | \(0.796818\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −266.531 | −1.10594 | −0.552968 | − | 0.833202i | \(-0.686505\pi\) | ||||
−0.552968 | + | 0.833202i | \(0.686505\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 227.045 | − | 86.6012i | 0.934340 | − | 0.356383i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −291.012 | + | 291.012i | −1.18780 | + | 1.18780i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 160.575i | 0.650102i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 123.662 | − | 293.830i | 0.496633 | − | 1.18004i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 153.945 | − | 153.945i | 0.613327 | − | 0.613327i | −0.330485 | − | 0.943811i | \(-0.607212\pi\) |
0.943811 | + | 0.330485i | \(0.107212\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 77.1660 | − | 77.1660i | 0.305004 | − | 0.305004i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −118.834 | + | 282.359i | −0.466016 | + | 1.10729i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 240.167i | 0.934503i | 0.884125 | + | 0.467251i | \(0.154756\pi\) | ||||
−0.884125 | + | 0.467251i | \(0.845244\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −44.8118 | + | 44.8118i | −0.173018 | + | 0.173018i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −136.695 | − | 1.54772i | −0.523737 | − | 0.00592995i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −140.707 | −0.535009 | −0.267505 | − | 0.963557i | \(-0.586199\pi\) | ||||
−0.267505 | + | 0.963557i | \(0.586199\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 50.3765i | − | 0.190100i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 89.2343 | + | 218.928i | 0.334211 | + | 0.819954i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −229.830 | − | 229.830i | −0.854388 | − | 0.854388i | 0.136282 | − | 0.990670i | \(-0.456485\pi\) |
−0.990670 | + | 0.136282i | \(0.956485\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −228.731 | −0.844025 | −0.422012 | − | 0.906590i | \(-0.638676\pi\) | ||||
−0.422012 | + | 0.906590i | \(0.638676\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 25.3360 | − | 60.2002i | 0.0928057 | − | 0.220514i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 256.809 | + | 256.809i | 0.933851 | + | 0.933851i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 103.265 | + | 103.265i | 0.372799 | + | 0.372799i | 0.868496 | − | 0.495697i | \(-0.165087\pi\) |
−0.495697 | + | 0.868496i | \(0.665087\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 40.8934 | − | 39.9778i | 0.146571 | − | 0.143290i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −283.552 | −1.00908 | −0.504540 | − | 0.863388i | \(-0.668338\pi\) | ||||
−0.504540 | + | 0.863388i | \(0.668338\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.4758 | + | 23.4758i | 0.0829534 | + | 0.0829534i | 0.747366 | − | 0.664413i | \(-0.231318\pi\) |
−0.664413 | + | 0.747366i | \(0.731318\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 299.796 | − | 122.196i | 1.05192 | − | 0.428758i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 3.26126i | − | 0.0113633i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 157.073 | 0.543506 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −43.9734 | − | 107.884i | −0.151111 | − | 0.370737i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 381.409 | − | 381.409i | 1.30174 | − | 1.30174i | 0.374516 | − | 0.927220i | \(-0.377809\pi\) |
0.927220 | − | 0.374516i | \(-0.122191\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 351.660i | − | 1.19207i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 168.798 | − | 66.5830i | 0.568343 | − | 0.224185i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −151.895 | + | 151.895i | −0.508011 | + | 0.508011i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −31.9555 | + | 31.9555i | −0.106165 | + | 0.106165i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 162.413 | + | 68.3534i | 0.536017 | + | 0.225589i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 493.224i | − | 1.61713i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −209.055 | + | 209.055i | −0.680960 | + | 0.680960i | −0.960217 | − | 0.279256i | \(-0.909912\pi\) |
0.279256 | + | 0.960217i | \(0.409912\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −274.508 | + | 111.889i | −0.888376 | + | 0.362099i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 111.176 | 0.357478 | 0.178739 | − | 0.983897i | \(-0.442798\pi\) | ||||
0.178739 | + | 0.983897i | \(0.442798\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 282.280i | − | 0.901852i | −0.892561 | − | 0.450926i | \(-0.851094\pi\) | ||
0.892561 | − | 0.450926i | \(-0.148906\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −131.675 | − | 1.49088i | −0.418016 | − | 0.00473294i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 206.983 | + | 206.983i | 0.652943 | + | 0.652943i | 0.953701 | − | 0.300758i | \(-0.0972395\pi\) |
−0.300758 | + | 0.953701i | \(0.597240\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −102.081 | −0.320003 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −386.539 | − | 162.679i | −1.20417 | − | 0.506789i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 98.5839 | + | 98.5839i | 0.305213 | + | 0.305213i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −505.508 | − | 505.508i | −1.55541 | − | 1.55541i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −269.242 | − | 113.314i | −0.823371 | − | 0.346525i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 123.345 | 0.374908 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 127.431 | + | 127.431i | 0.384989 | + | 0.384989i | 0.872896 | − | 0.487907i | \(-0.162239\pi\) |
−0.487907 | + | 0.872896i | \(0.662239\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 346.543 | + | 3.92369i | 1.04067 | + | 0.0117829i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 863.594i | − | 2.57789i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 68.9595 | 0.204628 | 0.102314 | − | 0.994752i | \(-0.467375\pi\) | ||||
0.102314 | + | 0.994752i | \(0.467375\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 23.0904 | − | 9.41157i | 0.0681133 | − | 0.0277627i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 30.1964 | − | 30.1964i | 0.0885525 | − | 0.0885525i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 156.826i | − | 0.457219i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 399.181 | + | 168.000i | 1.15705 | + | 0.486957i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 54.0628 | − | 54.0628i | 0.155801 | − | 0.155801i | −0.624902 | − | 0.780703i | \(-0.714861\pi\) |
0.780703 | + | 0.624902i | \(0.214861\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.107201 | + | 0.107201i | −0.000307168 | + | 0.000307168i | −0.707260 | − | 0.706953i | \(-0.750069\pi\) |
0.706953 | + | 0.707260i | \(0.250069\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −332.265 | + | 131.063i | −0.946625 | + | 0.373400i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 194.223i | − | 0.550208i | −0.961414 | − | 0.275104i | \(-0.911288\pi\) | ||
0.961414 | − | 0.275104i | \(-0.0887123\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 255.749 | − | 255.749i | 0.720420 | − | 0.720420i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −21.4047 | − | 52.5143i | −0.0599570 | − | 0.147099i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 437.689 | 1.21919 | 0.609595 | − | 0.792713i | \(-0.291332\pi\) | ||||
0.609595 | + | 0.792713i | \(0.291332\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 213.664i | 0.591867i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −210.674 | + | 85.8700i | −0.580369 | + | 0.236556i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −371.159 | − | 371.159i | −1.01687 | − | 1.01687i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 246.678 | 0.672148 | 0.336074 | − | 0.941836i | \(-0.390901\pi\) | ||||
0.336074 | + | 0.941836i | \(0.390901\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −12.7530 | + | 12.4674i | −0.0345608 | + | 0.0337870i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.59405 | + | 6.59405i | 0.0177737 | + | 0.0177737i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 349.678 | + | 349.678i | 0.937476 | + | 0.937476i | 0.998157 | − | 0.0606816i | \(-0.0193274\pi\) |
−0.0606816 | + | 0.998157i | \(0.519327\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −300.454 | + | 713.903i | −0.801212 | + | 1.90374i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 200.938 | 0.532993 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 235.668 | + | 235.668i | 0.621815 | + | 0.621815i | 0.945995 | − | 0.324180i | \(-0.105088\pi\) |
−0.324180 | + | 0.945995i | \(0.605088\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 221.864 | + | 544.321i | 0.582319 | + | 1.42866i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 64.2130i | 0.167658i | 0.996480 | + | 0.0838290i | \(0.0267149\pi\) | ||||
−0.996480 | + | 0.0838290i | \(0.973285\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −98.3320 | −0.255408 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 247.122 | + | 2.79801i | 0.638559 | + | 0.00723000i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −273.321 | + | 273.321i | −0.702624 | + | 0.702624i | −0.964973 | − | 0.262349i | \(-0.915503\pi\) |
0.262349 | + | 0.964973i | \(0.415503\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 186.510i | 0.477007i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −233.905 | + | 555.778i | −0.595179 | + | 1.41419i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 109.352 | − | 109.352i | 0.276842 | − | 0.276842i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −141.678 | + | 141.678i | −0.356873 | + | 0.356873i | −0.862659 | − | 0.505786i | \(-0.831202\pi\) |
0.505786 | + | 0.862659i | \(0.331202\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −23.2470 | + | 55.2368i | −0.0582633 | + | 0.138438i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 194.801i | − | 0.485788i | −0.970053 | − | 0.242894i | \(-0.921903\pi\) | ||
0.970053 | − | 0.242894i | \(-0.0780967\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −59.4392 | + | 59.4392i | −0.147492 | + | 0.147492i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 497.548 | + | 520.607i | 1.22851 | + | 1.28545i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 258.791 | 0.635849 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 420.826i | − | 1.02891i | −0.857516 | − | 0.514457i | \(-0.827993\pi\) | ||
0.857516 | − | 0.514457i | \(-0.172007\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −57.1659 | − | 140.251i | −0.139090 | − | 0.341244i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 46.0307 | + | 46.0307i | 0.111454 | + | 0.111454i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 944.737 | 2.27648 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −282.620 | + | 671.526i | −0.677745 | + | 1.61038i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −186.421 | − | 186.421i | −0.444919 | − | 0.444919i | 0.448742 | − | 0.893661i | \(-0.351872\pi\) |
−0.893661 | + | 0.448742i | \(0.851872\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 186.889 | + | 186.889i | 0.443917 | + | 0.443917i | 0.893326 | − | 0.449409i | \(-0.148366\pi\) |
−0.449409 | + | 0.893326i | \(0.648366\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −471.532 | − | 482.332i | −1.11473 | − | 1.14026i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −620.706 | −1.46049 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 64.5608 | + | 64.5608i | 0.151196 | + | 0.151196i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −246.988 | + | 100.672i | −0.575731 | + | 0.234666i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 128.395i | 0.297901i | 0.988845 | + | 0.148950i | \(0.0475895\pi\) | ||||
−0.988845 | + | 0.148950i | \(0.952411\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 684.737 | 1.58138 | 0.790690 | − | 0.612217i | \(-0.209722\pi\) | ||||
0.790690 | + | 0.612217i | \(0.209722\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −152.912 | − | 375.155i | −0.351522 | − | 0.862426i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 139.372 | − | 139.372i | 0.318928 | − | 0.318928i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 239.107i | − | 0.544663i | −0.962203 | − | 0.272332i | \(-0.912205\pi\) | ||
0.962203 | − | 0.272332i | \(-0.0877948\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −297.914 | + | 291.243i | −0.675541 | + | 0.660415i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 310.189 | − | 310.189i | 0.700200 | − | 0.700200i | −0.264253 | − | 0.964453i | \(-0.585125\pi\) |
0.964453 | + | 0.264253i | \(0.0851255\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −495.409 | + | 495.409i | −1.11328 | + | 1.11328i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −330.413 | − | 139.058i | −0.739179 | − | 0.311092i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 545.902i | 1.21582i | 0.794007 | + | 0.607908i | \(0.207991\pi\) | ||||
−0.794007 | + | 0.607908i | \(0.792009\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.41699 | + | 9.41699i | −0.0208803 | + | 0.0208803i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 83.6297 | − | 34.0872i | 0.184613 | − | 0.0752477i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 193.559 | 0.425404 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 289.579i | 0.633652i | 0.948484 | + | 0.316826i | \(0.102617\pi\) | ||||
−0.948484 | + | 0.316826i | \(0.897383\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −123.526 | + | 284.457i | −0.269121 | + | 0.619732i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −160.511 | − | 160.511i | −0.348180 | − | 0.348180i | 0.511251 | − | 0.859431i | \(-0.329182\pi\) |
−0.859431 | + | 0.511251i | \(0.829182\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 197.573 | 0.426723 | 0.213361 | − | 0.976973i | \(-0.431559\pi\) | ||||
0.213361 | + | 0.976973i | \(0.431559\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 156.207 | + | 65.7413i | 0.335928 | + | 0.141379i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 52.7645 | + | 52.7645i | 0.112986 | + | 0.112986i | 0.761339 | − | 0.648353i | \(-0.224542\pi\) |
−0.648353 | + | 0.761339i | \(0.724542\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 113.041 | + | 113.041i | 0.241025 | + | 0.241025i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 708.826 | + | 298.318i | 1.50494 | + | 0.633371i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 184.545 | 0.390159 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 463.830 | + | 463.830i | 0.976484 | + | 0.976484i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.577371 | − | 50.9938i | 0.00121042 | − | 0.106905i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − | 175.985i | − | 0.367401i | −0.982982 | − | 0.183700i | \(-0.941192\pi\) | ||
0.982982 | − | 0.183700i | \(-0.0588076\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −509.409 | −1.05906 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −74.2414 | + | 30.2606i | −0.153709 | + | 0.0626513i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 244.130 | − | 244.130i | 0.503362 | − | 0.503362i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 965.217i | 1.98196i | 0.133991 | + | 0.990982i | \(0.457221\pi\) | ||||
−0.133991 | + | 0.990982i | \(0.542779\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 782.404 | + | 329.284i | 1.60001 | + | 0.673382i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 600.614 | − | 600.614i | 1.22325 | − | 1.22325i | 0.256775 | − | 0.966471i | \(-0.417340\pi\) |
0.966471 | − | 0.256775i | \(-0.0826598\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 123.365 | − | 123.365i | 0.250233 | − | 0.250233i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 375.911 | + | 384.521i | 0.759416 | + | 0.776810i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 66.9527i | 0.134714i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −51.6092 | + | 51.6092i | −0.103425 | + | 0.103425i | −0.756926 | − | 0.653501i | \(-0.773300\pi\) |
0.653501 | + | 0.756926i | \(0.273300\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −195.505 | − | 479.653i | −0.390230 | − | 0.957391i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −847.530 | −1.68495 | −0.842475 | − | 0.538735i | \(-0.818902\pi\) | ||||
−0.842475 | + | 0.538735i | \(0.818902\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 522.199i | 1.03406i | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 16.6795 | − | 6.79851i | 0.0328984 | − | 0.0134093i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 128.457 | + | 128.457i | 0.252372 | + | 0.252372i | 0.821942 | − | 0.569570i | \(-0.192890\pi\) |
−0.569570 | + | 0.821942i | \(0.692890\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 97.1660 | 0.190149 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 304.871 | − | 120.257i | 0.594290 | − | 0.234420i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −621.182 | − | 621.182i | −1.20618 | − | 1.20618i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −356.162 | − | 356.162i | −0.688901 | − | 0.688901i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 67.1981 | − | 159.668i | 0.129476 | − | 0.307645i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 676.366 | 1.29821 | 0.649103 | − | 0.760700i | \(-0.275144\pi\) | ||||
0.649103 | + | 0.760700i | \(0.275144\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −600.494 | − | 600.494i | −1.14817 | − | 1.14817i | −0.986912 | − | 0.161260i | \(-0.948444\pi\) |
−0.161260 | − | 0.986912i | \(-0.551556\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −100.707 | − | 247.076i | −0.191824 | − | 0.470621i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 72.9845i | 0.138491i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −265.324 | −0.501558 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.03042 | − | 355.970i | 0.00759025 | − | 0.670376i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.5366 | − | 18.5366i | 0.0347779 | − | 0.0347779i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 1242.82i | − | 2.32302i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 251.162 | − | 596.782i | 0.467714 | − | 1.11133i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −219.985 | + | 219.985i | −0.408135 | + | 0.408135i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −43.4797 | + | 43.4797i | −0.0803692 | + | 0.0803692i | −0.746149 | − | 0.665779i | \(-0.768099\pi\) |
0.665779 | + | 0.746149i | \(0.268099\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 274.184 | − | 651.484i | 0.504943 | − | 1.19979i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 865.682i | − | 1.58841i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −125.498 | + | 125.498i | −0.229430 | + | 0.229430i | −0.812454 | − | 0.583025i | \(-0.801869\pi\) |
0.583025 | + | 0.812454i | \(0.301869\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.65291 | − | 499.269i | 0.0102967 | − | 0.909414i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −184.371 | −0.334612 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.6275i | 0.0517676i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 387.655 | + | 951.074i | 0.698477 | + | 1.71365i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 184.272 | + | 184.272i | 0.330829 | + | 0.330829i | 0.852901 | − | 0.522072i | \(-0.174841\pi\) |
−0.522072 | + | 0.852901i | \(0.674841\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −363.263 | −0.649844 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −89.8301 | + | 213.443i | −0.160125 | + | 0.380469i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 523.489 | + | 523.489i | 0.929820 | + | 0.929820i | 0.997694 | − | 0.0678736i | \(-0.0216215\pi\) |
−0.0678736 | + | 0.997694i | \(0.521621\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 52.2510 | + | 52.2510i | 0.0924796 | + | 0.0924796i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −133.272 | − | 3.01829i | −0.235047 | − | 0.00532326i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −52.6214 | −0.0924805 | −0.0462403 | − | 0.998930i | \(-0.514724\pi\) | ||||
−0.0462403 | + | 0.998930i | \(0.514724\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −114.561 | − | 114.561i | −0.200632 | − | 0.200632i | 0.599639 | − | 0.800271i | \(-0.295311\pi\) |
−0.800271 | + | 0.599639i | \(0.795311\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.8473 | − | 16.2416i | 0.0695415 | − | 0.0283449i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 877.515i | 1.52611i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 496.442 | 0.860384 | 0.430192 | − | 0.902737i | \(-0.358446\pi\) | ||||
0.430192 | + | 0.902737i | \(0.358446\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 234.817 | + | 576.100i | 0.405555 | + | 0.994992i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −123.662 | + | 123.662i | −0.212843 | + | 0.212843i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 38.0810i | − | 0.0653191i | ||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −739.951 | − | 756.899i | −1.26487 | − | 1.29384i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 115.260 | − | 115.260i | 0.196354 | − | 0.196354i | −0.602081 | − | 0.798435i | \(-0.705662\pi\) |
0.798435 | + | 0.602081i | \(0.205662\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 54.5385 | − | 54.5385i | 0.0925952 | − | 0.0925952i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 380.332 | + | 160.067i | 0.643540 | + | 0.270841i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 227.756i | − | 0.384074i | −0.981388 | − | 0.192037i | \(-0.938491\pi\) | ||
0.981388 | − | 0.192037i | \(-0.0615094\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 118.834 | − | 118.834i | 0.199721 | − | 0.199721i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −229.935 | + | 93.7209i | −0.385151 | + | 0.156986i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 760.308 | 1.26930 | 0.634648 | − | 0.772802i | \(-0.281145\pi\) | ||||
0.634648 | + | 0.772802i | \(0.281145\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 85.7856i | 0.142738i | 0.997450 | + | 0.0713690i | \(0.0227368\pi\) | ||||
−0.997450 | + | 0.0713690i | \(0.977263\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 9.89776 | − | 874.177i | 0.0164142 | − | 1.44971i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −476.731 | − | 476.731i | −0.787986 | − | 0.787986i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −685.217 | −1.12886 | −0.564429 | − | 0.825482i | \(-0.690904\pi\) | ||||
−0.564429 | + | 0.825482i | \(0.690904\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 69.1216 | + | 29.0906i | 0.113500 | + | 0.0477678i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 701.077 | + | 701.077i | 1.14743 | + | 1.14743i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 544.727 | + | 544.727i | 0.888624 | + | 0.888624i | 0.994391 | − | 0.105767i | \(-0.0337296\pi\) |
−0.105767 | + | 0.994391i | \(0.533730\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −48.7143 | − | 20.5020i | −0.0792102 | − | 0.0333365i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −383.577 | −0.621681 | −0.310840 | − | 0.950462i | \(-0.600610\pi\) | ||||
−0.310840 | + | 0.950462i | \(0.600610\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 81.7634 | + | 81.7634i | 0.132089 | + | 0.132089i | 0.770060 | − | 0.637971i | \(-0.220226\pi\) |
−0.637971 | + | 0.770060i | \(0.720226\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 402.148 | + | 174.634i | 0.647581 | + | 0.281214i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | − | 129.694i | − | 0.208176i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −944.365 | −1.51098 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 226.625 | − | 92.3715i | 0.361443 | − | 0.147323i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −312.748 | + | 312.748i | −0.497214 | + | 0.497214i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 944.242i | 1.49642i | 0.663461 | + | 0.748211i | \(0.269087\pi\) | ||||
−0.663461 | + | 0.748211i | \(0.730913\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −788.523 | − | 331.859i | −1.24569 | − | 0.524263i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1231.74 | + | 1231.74i | −1.93974 | + | 1.93974i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 433.022 | − | 433.022i | 0.679784 | − | 0.679784i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 261.814 | − | 255.952i | 0.409725 | − | 0.400551i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1102.48i | 1.71994i | 0.510344 | + | 0.859970i | \(0.329518\pi\) | ||||
−0.510344 | + | 0.859970i | \(0.670482\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 794.664 | − | 794.664i | 1.23587 | − | 1.23587i | 0.274195 | − | 0.961674i | \(-0.411588\pi\) |
0.961674 | − | 0.274195i | \(-0.0884115\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 276.439 | + | 678.217i | 0.428588 | + | 1.05150i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 768.446 | 1.18771 | 0.593853 | − | 0.804574i | \(-0.297606\pi\) | ||||
0.593853 | + | 0.804574i | \(0.297606\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 265.830i | − | 0.409599i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −29.0519 | + | 11.8415i | −0.0446266 | + | 0.0181897i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 829.478 | + | 829.478i | 1.27026 | + | 1.27026i | 0.945953 | + | 0.324305i | \(0.105130\pi\) |
0.324305 | + | 0.945953i | \(0.394870\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1786.96 | −2.72819 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −371.454 | − | 379.961i | −0.565378 | − | 0.578328i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −653.956 | − | 653.956i | −0.992346 | − | 0.992346i | 0.00762509 | − | 0.999971i | \(-0.497573\pi\) |
−0.999971 | + | 0.00762509i | \(0.997573\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −734.342 | − | 734.342i | −1.11096 | − | 1.11096i | −0.993021 | − | 0.117936i | \(-0.962372\pi\) |
−0.117936 | − | 0.993021i | \(-0.537628\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 176.823 | − | 420.146i | 0.266702 | − | 0.633705i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −177.600 | −0.267068 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −174.405 | − | 174.405i | −0.261477 | − | 0.261477i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −264.132 | − | 648.022i | −0.394816 | − | 0.968643i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 372.842i | − | 0.555652i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 514.259 | 0.764129 | 0.382065 | − | 0.924136i | \(-0.375213\pi\) | ||||
0.382065 | + | 0.924136i | \(0.375213\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −581.183 | + | 1338.35i | −0.861012 | + | 1.98274i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −662.519 | + | 662.519i | −0.978610 | + | 0.978610i | −0.999776 | − | 0.0211661i | \(-0.993262\pi\) |
0.0211661 | + | 0.999776i | \(0.493262\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 63.9111i | 0.0941253i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 155.293 | − | 368.988i | 0.228037 | − | 0.541833i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −280.446 | + | 280.446i | −0.410608 | + | 0.410608i | −0.881950 | − | 0.471342i | \(-0.843770\pi\) |
0.471342 | + | 0.881950i | \(0.343770\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 317.373 | − | 317.373i | 0.463318 | − | 0.463318i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −227.217 | + | 539.885i | −0.330738 | + | 0.785859i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 74.9595i | 0.108795i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −631.830 | + | 631.830i | −0.914371 | + | 0.914371i | −0.996612 | − | 0.0822418i | \(-0.973792\pi\) |
0.0822418 | + | 0.996612i | \(0.473792\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −99.5370 | − | 1.12700i | −0.143632 | − | 0.00162626i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2159.13 | −3.10666 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 22.7608i | − | 0.0326554i | ||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −449.309 | − | 1102.34i | −0.642788 | − | 1.57702i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −160.480 | − | 160.480i | −0.228930 | − | 0.228930i | 0.583315 | − | 0.812246i | \(-0.301755\pi\) |
−0.812246 | + | 0.583315i | \(0.801755\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 467.409 | 0.664878 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 775.409 | − | 1842.43i | 1.09987 | − | 2.61338i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −68.3534 | − | 68.3534i | −0.0966809 | − | 0.0966809i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 410.261 | + | 410.261i | 0.578648 | + | 0.578648i | 0.934531 | − | 0.355883i | \(-0.115820\pi\) |
−0.355883 | + | 0.934531i | \(0.615820\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 111.946 | − | 109.439i | 0.157448 | − | 0.153923i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 103.181 | 0.144714 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −558.907 | − | 558.907i | −0.781688 | − | 0.781688i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −791.236 | + | 322.505i | −1.10354 | + | 0.449798i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 1069.18i | − | 1.48704i | −0.668716 | − | 0.743518i | \(-0.733156\pi\) | ||
0.668716 | − | 0.743518i | \(-0.266844\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 162.620 | 0.225547 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −301.804 | − | 740.447i | −0.417433 | − | 1.02413i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 580.422 | − | 580.422i | 0.800582 | − | 0.800582i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 148.864i | 0.204765i | 0.994745 | + | 0.102382i | \(0.0326466\pi\) | ||||
−0.994745 | + | 0.102382i | \(0.967353\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 497.678 | + | 532.689i | 0.682686 | + | 0.730712i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −223.022 | + | 223.022i | −0.305092 | + | 0.305092i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 690.136 | − | 690.136i | 0.941522 | − | 0.941522i | −0.0568598 | − | 0.998382i | \(-0.518109\pi\) |
0.998382 | + | 0.0568598i | \(0.0181088\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1137.98 | − | 478.934i | −1.54828 | − | 0.651610i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 652.816i | − | 0.885775i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −535.593 | + | 535.593i | −0.724754 | + | 0.724754i | −0.969570 | − | 0.244815i | \(-0.921273\pi\) |
0.244815 | + | 0.969570i | \(0.421273\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −446.093 | + | 181.826i | −0.602014 | + | 0.245379i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −20.5116 | −0.0276065 | −0.0138032 | − | 0.999905i | \(-0.504394\pi\) | ||||
−0.0138032 | + | 0.999905i | \(0.504394\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 1062.36i | − | 1.42599i | ||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 956.315 | + | 10.8278i | 1.28021 | + | 0.0144950i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 162.679 | + | 162.679i | 0.217195 | + | 0.217195i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.8000 | 0.0210385 | 0.0105193 | − | 0.999945i | \(-0.496652\pi\) | ||||
0.0105193 | + | 0.999945i | \(0.496652\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 601.992 | + | 253.355i | 0.799458 | + | 0.336461i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 189.245 | + | 189.245i | 0.250655 | + | 0.250655i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −810.497 | − | 810.497i | −1.07067 | − | 1.07067i | −0.997305 | − | 0.0733640i | \(-0.976627\pi\) |
−0.0733640 | − | 0.997305i | \(-0.523373\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 301.753 | + | 126.996i | 0.397566 | + | 0.167320i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 212.194 | 0.278836 | 0.139418 | − | 0.990234i | \(-0.455477\pi\) | ||||
0.139418 | + | 0.990234i | \(0.455477\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 113.314 | + | 113.314i | 0.148511 | + | 0.148511i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −918.980 | − | 10.4050i | −1.20128 | − | 0.0136014i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 523.266i | 0.682224i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −883.681 | −1.14913 | −0.574565 | − | 0.818459i | \(-0.694829\pi\) | ||||
−0.574565 | + | 0.818459i | \(0.694829\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −667.207 | + | 271.951i | −0.865378 | + | 0.352725i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 515.805 | − | 515.805i | 0.667277 | − | 0.667277i | −0.289808 | − | 0.957085i | \(-0.593591\pi\) |
0.957085 | + | 0.289808i | \(0.0935914\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 343.387i | 0.443080i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −175.233 | − | 73.7490i | −0.225526 | − | 0.0949151i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −17.0083 | + | 17.0083i | −0.0218335 | + | 0.0218335i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 193.328 | − | 193.328i | 0.247539 | − | 0.247539i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −150.486 | − | 381.505i | −0.192192 | − | 0.487235i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2279.05i | 2.90325i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 279.150 | − | 279.150i | 0.354702 | − | 0.354702i | −0.507154 | − | 0.861856i | \(-0.669302\pi\) |
0.861856 | + | 0.507154i | \(0.169302\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −159.329 | − | 390.898i | −0.201938 | − | 0.495435i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.6788 | −0.0172931 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 733.911i | 0.925487i |