Newspace parameters
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.e (of order \(83\), degree \(82\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(1148\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{83})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{83}]$ |
Embedding invariants
Embedding label | 9.13 | ||
Character | \(\chi\) | \(=\) | 668.9 |
Dual form | 668.2.e.a.297.13 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{11}{83}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.353640 | + | 2.65381i | 0.204174 | + | 1.53218i | 0.731101 | + | 0.682269i | \(0.239007\pi\) |
−0.526927 | + | 0.849910i | \(0.676656\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.27217 | − | 0.562563i | −0.568930 | − | 0.251586i | 0.0999044 | − | 0.994997i | \(-0.468146\pi\) |
−0.668835 | + | 0.743411i | \(0.733207\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.92428 | + | 4.13797i | −0.727308 | + | 1.56401i | 0.0953327 | + | 0.995445i | \(0.469608\pi\) |
−0.822640 | + | 0.568562i | \(0.807500\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −4.02235 | + | 1.09139i | −1.34078 | + | 0.363798i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.02081 | + | 1.30885i | −0.307786 | + | 0.394632i | −0.917335 | − | 0.398117i | \(-0.869664\pi\) |
0.609549 | + | 0.792749i | \(0.291351\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.42096 | − | 2.77578i | 0.394102 | − | 0.769864i | −0.605562 | − | 0.795798i | \(-0.707051\pi\) |
0.999664 | + | 0.0259349i | \(0.00825627\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.04305 | − | 3.57504i | 0.269314 | − | 0.923070i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.44034 | − | 0.185090i | −0.591869 | − | 0.0448909i | −0.223713 | − | 0.974655i | \(-0.571818\pi\) |
−0.368156 | + | 0.929764i | \(0.620011\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.03980 | − | 3.06846i | 0.467961 | − | 0.703953i | −0.520763 | − | 0.853701i | \(-0.674352\pi\) |
0.988724 | + | 0.149748i | \(0.0478463\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −11.6619 | − | 3.64331i | −2.54484 | − | 0.795036i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.849459 | + | 0.337813i | 0.177124 | + | 0.0704389i | 0.456412 | − | 0.889769i | \(-0.349134\pi\) |
−0.279287 | + | 0.960208i | \(0.590098\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.06243 | − | 2.26745i | −0.412486 | − | 0.453489i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.21010 | − | 2.88279i | −0.232884 | − | 0.554793i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.52393 | + | 1.79908i | −0.840073 | + | 0.334081i | −0.749660 | − | 0.661824i | \(-0.769783\pi\) |
−0.0904136 | + | 0.995904i | \(0.528819\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.76400 | + | 0.638732i | −0.496429 | + | 0.114720i | −0.465941 | − | 0.884816i | \(-0.654284\pi\) |
−0.0304875 | + | 0.999535i | \(0.509706\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.83443 | − | 2.24618i | −0.667489 | − | 0.391010i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.77587 | − | 4.18167i | 0.807269 | − | 0.706831i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.57531 | + | 2.32676i | 1.40977 | + | 0.382517i | 0.883752 | − | 0.467955i | \(-0.155009\pi\) |
0.526020 | + | 0.850472i | \(0.323684\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7.86891 | + | 2.78932i | 1.26003 | + | 0.446649i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.33729 | + | 2.60595i | −0.833545 | + | 0.406981i | −0.805478 | − | 0.592625i | \(-0.798092\pi\) |
−0.0280663 | + | 0.999606i | \(0.508935\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.373781 | + | 3.93828i | −0.0570010 | + | 0.600582i | 0.920656 | + | 0.390375i | \(0.127655\pi\) |
−0.977657 | + | 0.210207i | \(0.932586\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.73107 | + | 0.874387i | 0.854338 | + | 0.130346i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.147189 | + | 7.77648i | 0.0214698 | + | 1.13432i | 0.834126 | + | 0.551574i | \(0.185972\pi\) |
−0.812656 | + | 0.582743i | \(0.801979\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.90922 | − | 10.5724i | −1.27275 | − | 1.51034i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.371807 | − | 6.54166i | −0.0520634 | − | 0.916015i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.188558 | + | 1.09630i | 0.0259004 | + | 0.150589i | 0.995599 | − | 0.0937150i | \(-0.0298742\pi\) |
−0.969699 | + | 0.244304i | \(0.921441\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.03495 | − | 1.09080i | 0.274393 | − | 0.147083i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.86447 | + | 4.32811i | 1.17413 | + | 0.573272i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10.3888 | + | 0.787950i | −1.35251 | + | 0.102582i | −0.731832 | − | 0.681485i | \(-0.761335\pi\) |
−0.620676 | + | 0.784067i | \(0.713142\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.52223 | − | 5.62774i | 0.707049 | − | 0.720558i | −0.262642 | − | 0.964893i | \(-0.584594\pi\) |
0.969691 | + | 0.244335i | \(0.0785697\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.22394 | − | 18.7445i | 0.406178 | − | 2.36159i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.36924 | + | 2.73188i | −0.417903 | + | 0.338848i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.24417 | + | 3.64564i | −1.00719 | + | 0.445386i | −0.841189 | − | 0.540741i | \(-0.818144\pi\) |
−0.165996 | + | 0.986126i | \(0.553084\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.596091 | + | 2.37377i | −0.0717609 | + | 0.285768i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.0551 | − | 1.26074i | 1.31200 | − | 0.149623i | 0.570899 | − | 0.821020i | \(-0.306595\pi\) |
0.741097 | + | 0.671397i | \(0.234306\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.43668 | + | 2.57728i | −0.402233 | + | 0.301648i | −0.781816 | − | 0.623510i | \(-0.785706\pi\) |
0.379583 | + | 0.925158i | \(0.376068\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.28802 | − | 6.27517i | 0.610608 | − | 0.724594i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.45165 | − | 6.74267i | −0.393352 | − | 0.768399i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.402907 | + | 1.07178i | −0.0453305 | + | 0.120585i | −0.956766 | − | 0.290858i | \(-0.906059\pi\) |
0.911436 | + | 0.411443i | \(0.134975\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.56612 | + | 2.08901i | −0.396236 | + | 0.232112i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.94246 | + | 6.85715i | −0.542506 | + | 0.752670i | −0.989915 | − | 0.141659i | \(-0.954756\pi\) |
0.447410 | + | 0.894329i | \(0.352347\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.00039 | + | 1.60831i | 0.325438 | + | 0.174446i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.37426 | − | 11.3694i | −0.683393 | − | 1.21893i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.517404 | + | 1.77340i | 0.0548448 | + | 0.187980i | 0.982786 | − | 0.184746i | \(-0.0591462\pi\) |
−0.927942 | + | 0.372726i | \(0.878423\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.75181 | + | 11.2212i | 0.917439 | + | 1.17631i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.67253 | − | 7.10926i | −0.277129 | − | 0.737195i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.32116 | + | 2.75608i | −0.443342 | + | 0.282768i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.32857 | + | 1.23138i | 0.541034 | + | 0.125027i | 0.486821 | − | 0.873502i | \(-0.338157\pi\) |
0.0542136 | + | 0.998529i | \(0.482735\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.67759 | − | 6.37874i | 0.269108 | − | 0.641088i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.81295 | + | 19.1019i | 0.180396 | + | 1.90071i | 0.386678 | + | 0.922215i | \(0.373623\pi\) |
−0.206282 | + | 0.978493i | \(0.566136\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.3371 | − | 10.6195i | 1.51121 | − | 1.04637i | 0.531245 | − | 0.847218i | \(-0.321724\pi\) |
0.979969 | − | 0.199149i | \(-0.0638177\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 12.7863 | + | 11.1955i | 1.24781 | + | 1.09256i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.90543 | + | 2.70413i | 0.377552 | + | 0.261418i | 0.742829 | − | 0.669481i | \(-0.233483\pi\) |
−0.365277 | + | 0.930899i | \(0.619026\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.47392 | − | 0.940081i | −0.141176 | − | 0.0900434i | 0.465267 | − | 0.885170i | \(-0.345958\pi\) |
−0.606443 | + | 0.795127i | \(0.707404\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.14222 | + | 23.5801i | −0.298246 | + | 2.23812i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.49114 | + | 8.97979i | −0.516563 | + | 0.844748i | −0.999523 | − | 0.0308949i | \(-0.990164\pi\) |
0.482959 | + | 0.875643i | \(0.339562\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.890612 | − | 0.907629i | −0.0830500 | − | 0.0846368i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.68610 | + | 12.7160i | −0.248330 | + | 1.17559i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.46178 | − | 9.74189i | 0.500680 | − | 0.893038i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.00807 | + | 7.99659i | 0.182552 | + | 0.726963i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8.80318 | − | 13.2426i | −0.793756 | − | 1.19405i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.54740 | + | 10.6430i | 0.317289 | + | 0.951935i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.5565 | − | 1.43197i | −1.11421 | − | 0.127067i | −0.463284 | − | 0.886210i | \(-0.653329\pi\) |
−0.650924 | + | 0.759143i | \(0.725618\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.5836 | + | 0.400787i | −0.931837 | + | 0.0352874i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.0538156 | + | 0.946843i | −0.00470189 | + | 0.0827261i | −0.999882 | − | 0.0153335i | \(-0.995119\pi\) |
0.995181 | + | 0.0980596i | \(0.0312636\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.77208 | + | 14.3452i | 0.760636 | + | 1.24389i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.0822996 | + | 4.34815i | −0.00708322 | + | 0.374229i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.93134 | − | 3.52040i | 0.848491 | − | 0.300768i | 0.125900 | − | 0.992043i | \(-0.459818\pi\) |
0.722592 | + | 0.691275i | \(0.242951\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.544827 | + | 0.514740i | 0.0462116 | + | 0.0436597i | 0.709510 | − | 0.704695i | \(-0.248916\pi\) |
−0.663298 | + | 0.748355i | \(0.730844\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −20.5853 | + | 3.14069i | −1.73359 | + | 0.264494i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.18255 | + | 4.69336i | 0.182514 | + | 0.392479i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.76729 | + | 0.256268i | 0.561993 | + | 0.0212819i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 24.9064 | − | 27.3822i | 2.05425 | − | 2.25845i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −16.0245 | − | 12.9931i | −1.31278 | − | 1.06444i | −0.993144 | − | 0.116894i | \(-0.962706\pi\) |
−0.319631 | − | 0.947542i | \(-0.603559\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.4663 | + | 9.34887i | 1.01449 | + | 0.760800i | 0.971201 | − | 0.238263i | \(-0.0765779\pi\) |
0.0432888 | + | 0.999063i | \(0.486216\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 10.0179 | − | 1.91888i | 0.809899 | − | 0.155132i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.87559 | + | 0.742350i | 0.311295 | + | 0.0596270i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.85567 | + | 18.2527i | 0.307716 | + | 1.45673i | 0.807136 | + | 0.590366i | \(0.201017\pi\) |
−0.499420 | + | 0.866360i | \(0.666453\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.84271 | + | 0.888094i | −0.225441 | + | 0.0704304i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.03246 | + | 2.86499i | −0.238991 | + | 0.225793i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.59214 | + | 19.7778i | −0.516336 | + | 1.54912i | 0.289619 | + | 0.957142i | \(0.406471\pi\) |
−0.805955 | + | 0.591976i | \(0.798348\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.61442 | + | 5.01463i | 0.281382 | + | 0.390388i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.39197 | − | 12.4697i | 0.262479 | − | 0.964938i | ||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.91549 | + | 2.65754i | 0.147345 | + | 0.204426i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.85587 | + | 14.5686i | −0.371338 | + | 1.11409i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.6351 | − | 11.9373i | 0.960626 | − | 0.907577i | −0.0351511 | − | 0.999382i | \(-0.511191\pi\) |
0.995777 | + | 0.0918047i | \(0.0292635\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.3513 | − | 4.17110i | 1.00926 | − | 0.315306i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.76497 | − | 27.2913i | −0.433322 | − | 2.05134i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −22.9885 | − | 4.40333i | −1.71824 | − | 0.329121i | −0.767957 | − | 0.640501i | \(-0.778727\pi\) |
−0.950285 | + | 0.311380i | \(0.899209\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.1961 | − | 2.52765i | 0.980859 | − | 0.187879i | 0.327438 | − | 0.944873i | \(-0.393815\pi\) |
0.653422 | + | 0.756994i | \(0.273333\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 16.8878 | + | 12.6648i | 1.24839 | + | 0.936206i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.60027 | − | 7.78418i | −0.705826 | − | 0.572304i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.73338 | − | 3.00509i | 0.199884 | − | 0.219754i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 14.2575 | + | 0.539911i | 1.03708 | + | 0.0392727i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.06193 | − | 6.58439i | −0.221553 | − | 0.476429i | 0.764125 | − | 0.645069i | \(-0.223171\pi\) |
−0.985678 | + | 0.168639i | \(0.946063\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.74809 | − | 1.02955i | 0.485738 | − | 0.0741089i | 0.0966675 | − | 0.995317i | \(-0.469182\pi\) |
0.389071 | + | 0.921208i | \(0.372796\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −8.44140 | − | 7.97524i | −0.604501 | − | 0.571119i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.52278 | − | 2.31215i | 0.464729 | − | 0.164734i | −0.0914274 | − | 0.995812i | \(-0.529143\pi\) |
0.556157 | + | 0.831078i | \(0.312275\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.0916647 | − | 4.84293i | 0.00649794 | − | 0.343306i | −0.981727 | − | 0.190296i | \(-0.939055\pi\) |
0.988225 | − | 0.153010i | \(-0.0488967\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.5903 | − | 20.5892i | −0.888052 | − | 1.45225i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.26075 | − | 22.1818i | 0.0884870 | − | 1.55686i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.25593 | − | 0.312641i | 0.576619 | − | 0.0218358i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.78551 | − | 0.431707i | −0.263111 | − | 0.0300057i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.93390 | + | 5.80210i | 0.133770 | + | 0.401340i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.4817 | + | 15.7676i | 0.721591 | + | 1.08549i | 0.992424 | + | 0.122861i | \(0.0392068\pi\) |
−0.270833 | + | 0.962626i | \(0.587299\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.25530 | + | 28.8923i | 0.497125 | + | 1.97966i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.69104 | − | 4.79987i | 0.183527 | − | 0.327348i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.67564 | − | 12.6665i | 0.181634 | − | 0.859855i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.05497 | − | 8.20887i | −0.544304 | − | 0.554704i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.98138 | + | 6.51084i | −0.267817 | + | 0.437967i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.91796 | − | 21.8972i | 0.195401 | − | 1.46634i | −0.569391 | − | 0.822067i | \(-0.692821\pi\) |
0.764792 | − | 0.644277i | \(-0.222842\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 10.7705 | + | 6.86952i | 0.718033 | + | 0.457968i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.6337 | + | 9.44002i | 0.904903 | + | 0.626556i | 0.927758 | − | 0.373182i | \(-0.121733\pi\) |
−0.0228551 | + | 0.999739i | \(0.507276\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.9957 | + | 16.6323i | 1.25527 | + | 1.09909i | 0.990890 | + | 0.134676i | \(0.0429995\pi\) |
0.264383 | + | 0.964418i | \(0.414832\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 16.6731 | − | 11.5445i | 1.09701 | − | 0.759573i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.34582 | − | 14.1800i | −0.0881677 | − | 0.928964i | −0.924612 | − | 0.380911i | \(-0.875610\pi\) |
0.836444 | − | 0.548053i | \(-0.184631\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.18751 | − | 9.97578i | 0.273163 | − | 0.650748i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.98678 | − | 0.690215i | −0.194012 | − | 0.0448343i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.05354 | − | 2.58539i | 0.262202 | − | 0.167235i | −0.400101 | − | 0.916471i | \(-0.631025\pi\) |
0.662303 | + | 0.749236i | \(0.269579\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.17134 | − | 16.4165i | −0.397531 | − | 1.05748i | −0.971174 | − | 0.238373i | \(-0.923386\pi\) |
0.573643 | − | 0.819106i | \(-0.305530\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −12.5733 | − | 16.1210i | −0.806576 | − | 1.03416i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.38639 | + | 18.4618i | 0.344124 | + | 1.17948i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.61892 | − | 10.0222i | −0.357523 | − | 0.637696i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −19.9454 | − | 10.6914i | −1.26399 | − | 0.677541i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.52008 | + | 3.49634i | −0.159066 | + | 0.220687i | −0.883229 | − | 0.468941i | \(-0.844636\pi\) |
0.724164 | + | 0.689628i | \(0.242226\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.30928 | + | 0.766968i | −0.0823139 | + | 0.0482189i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.20709 | + | 8.53124i | −0.200836 | + | 0.534247i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.27201 | − | 18.1125i | −0.578372 | − | 1.12983i | −0.977104 | − | 0.212760i | \(-0.931755\pi\) |
0.398732 | − | 0.917067i | \(-0.369450\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −26.1293 | + | 31.0071i | −1.62360 | + | 1.92669i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 16.2333 | − | 12.1739i | 1.00482 | − | 0.753546i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −18.7799 | + | 2.14170i | −1.15802 | + | 0.132063i | −0.671087 | − | 0.741379i | \(-0.734172\pi\) |
−0.486929 | + | 0.873441i | \(0.661883\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.376864 | − | 1.50076i | 0.0231505 | − | 0.0921908i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.52329 | + | 2.00024i | −0.276821 | + | 0.122413i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −21.5771 | + | 17.4953i | −1.31558 | + | 1.06671i | −0.322837 | + | 0.946455i | \(0.604636\pi\) |
−0.992743 | + | 0.120256i | \(0.961629\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.543356 | + | 3.15916i | −0.0330065 | + | 0.191905i | −0.997350 | − | 0.0727469i | \(-0.976823\pi\) |
0.964344 | + | 0.264652i | \(0.0852572\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −26.6841 | + | 27.1939i | −1.61500 | + | 1.64585i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.07309 | − | 0.384773i | 0.305919 | − | 0.0232027i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.2620 | + | 5.98697i | 0.736754 | + | 0.359722i | 0.768565 | − | 0.639772i | \(-0.220971\pi\) |
−0.0318116 | + | 0.999494i | \(0.510128\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.4207 | − | 5.58581i | 0.623868 | − | 0.334414i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.30313 | + | 7.57659i | 0.0777380 | + | 0.451982i | 0.998138 | + | 0.0610025i | \(0.0194298\pi\) |
−0.920400 | + | 0.390979i | \(0.872137\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.0611089 | + | 1.07516i | 0.00363255 | + | 0.0639119i | 0.999693 | − | 0.0247603i | \(-0.00788224\pi\) |
−0.996061 | + | 0.0886721i | \(0.971738\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.84225 | − | 10.4929i | −0.523770 | − | 0.621546i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.512938 | − | 27.1001i | −0.0302778 | − | 1.59967i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.8845 | − | 1.66065i | −0.640267 | − | 0.0976853i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.38345 | + | 14.5765i | −0.0810993 | + | 0.854489i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.7562 | + | 12.0873i | −1.44627 | + | 0.706148i | −0.983597 | − | 0.180380i | \(-0.942267\pi\) |
−0.462676 | + | 0.886527i | \(0.653111\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.6596 | + | 4.84196i | 0.795291 | + | 0.281910i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.00841 | + | 1.35895i | 0.290618 | + | 0.0788541i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.14474 | − | 1.87790i | 0.124033 | − | 0.108602i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.5772 | − | 9.12502i | −0.897857 | − | 0.525958i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −50.0517 | + | 11.5664i | −2.87539 | + | 0.664474i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.1911 | + | 4.05282i | −0.583543 | + | 0.232064i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.94119 | + | 9.38899i | 0.224936 | + | 0.535858i | 0.994741 | − | 0.102421i | \(-0.0326588\pi\) |
−0.769805 | + | 0.638279i | \(0.779647\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 33.6059 | + | 36.9464i | 1.91177 | + | 2.10181i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.12273 | + | 2.43489i | 0.347188 | + | 0.138070i | 0.536620 | − | 0.843824i | \(-0.319701\pi\) |
−0.189432 | + | 0.981894i | \(0.560665\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.76287 | + | 1.80038i | 0.325736 | + | 0.101764i | 0.456693 | − | 0.889624i | \(-0.349034\pi\) |
−0.130957 | + | 0.991388i | \(0.541805\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −14.6464 | + | 22.0325i | −0.825228 | + | 1.24139i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 9.95103 | + | 0.754746i | 0.558906 | + | 0.0423907i | 0.352051 | − | 0.935981i | \(-0.385484\pi\) |
0.206855 | + | 0.978372i | \(0.433677\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.26336 | − | 7.75765i | 0.126724 | − | 0.434345i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.79513 | + | 11.3206i | −0.323453 | + | 0.631853i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.54573 | + | 7.11054i | −0.308573 | + | 0.395641i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.22456 | + | 2.50292i | −0.511686 | + | 0.138837i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.97356 | − | 4.24396i | 0.109138 | − | 0.234692i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −32.4621 | − | 14.3550i | −1.78969 | − | 0.791418i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.65889 | + | 19.9531i | 0.146146 | + | 1.09672i | 0.898817 | + | 0.438324i | \(0.144428\pi\) |
−0.752671 | + | 0.658397i | \(0.771235\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −37.0323 | −2.02936 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 12.5389 | 0.685071 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.47199 | − | 18.5505i | −0.134658 | − | 1.01051i | −0.920130 | − | 0.391612i | \(-0.871917\pi\) |
0.785473 | − | 0.618896i | \(-0.212420\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −25.7726 | − | 11.3969i | −1.39977 | − | 0.618992i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.98552 | − | 4.26967i | 0.107522 | − | 0.231216i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 30.0621 | − | 8.15683i | 1.62320 | − | 0.440427i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.09372 | − | 2.68449i | 0.112722 | − | 0.144528i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.7087 | − | 24.8259i | 0.682237 | − | 1.33272i | −0.249069 | − | 0.968486i | \(-0.580125\pi\) |
0.931306 | − | 0.364238i | \(-0.118670\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.14212 | − | 14.1971i | 0.221722 | − | 0.759952i | −0.770713 | − | 0.637183i | \(-0.780100\pi\) |
0.992435 | − | 0.122769i | \(-0.0391775\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.72150 | − | 0.737336i | −0.518895 | − | 0.0393561i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 20.0247 | − | 30.1232i | 1.06581 | − | 1.60329i | 0.307324 | − | 0.951605i | \(-0.400567\pi\) |
0.758486 | − | 0.651689i | \(-0.225939\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.7731 | − | 4.61530i | −0.784077 | − | 0.244955i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 27.7847 | + | 11.0494i | 1.47052 | + | 0.584797i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 18.4046 | + | 20.2341i | 0.971360 | + | 1.06792i | 0.997667 | + | 0.0682629i | \(0.0217457\pi\) |
−0.0263072 | + | 0.999654i | \(0.508375\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.09928 | + | 5.00104i | 0.110488 | + | 0.263213i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −20.5113 | + | 8.15695i | −1.07657 | + | 0.428129i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.82191 | − | 1.34538i | 0.304733 | − | 0.0704206i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.0328 | − | 8.22033i | −0.732508 | − | 0.429098i | 0.0914050 | − | 0.995814i | \(-0.470864\pi\) |
−0.823913 | + | 0.566716i | \(0.808214\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 18.6243 | − | 16.3071i | 0.969543 | − | 0.848915i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.89932 | − | 1.32935i | −0.254360 | − | 0.0690162i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.8930 | − | 8.82390i | −1.28891 | − | 0.456884i | −0.400652 | − | 0.916230i | \(-0.631216\pi\) |
−0.888257 | + | 0.459346i | \(0.848084\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −26.9899 | + | 13.1779i | −1.39375 | + | 0.680505i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.43445 | + | 15.1139i | −0.0738781 | + | 0.778404i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.2034 | − | 1.86187i | −0.626848 | − | 0.0956380i | −0.170381 | − | 0.985378i | \(-0.554500\pi\) |
−0.456467 | + | 0.889740i | \(0.650885\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.640298 | − | 33.8290i | −0.0328035 | − | 1.73311i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 18.7732 | + | 22.2777i | 0.959266 | + | 1.13834i | 0.990318 | + | 0.138821i | \(0.0443312\pi\) |
−0.0310519 | + | 0.999518i | \(0.509886\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.597899 | + | 10.5196i | 0.0304718 | + | 0.536127i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.79474 | − | 16.2491i | −0.142064 | − | 0.825986i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.868271 | + | 0.465422i | −0.0440231 | + | 0.0235978i | −0.494304 | − | 0.869289i | \(-0.664577\pi\) |
0.450281 | + | 0.892887i | \(0.351324\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.01044 | − | 0.981605i | −0.101672 | − | 0.0496419i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.53178 | + | 0.192025i | −0.127711 | + | 0.00968638i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.11551 | − | 1.13682i | 0.0561273 | − | 0.0571997i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.49924 | − | 14.5310i | 0.125433 | − | 0.729288i | −0.852872 | − | 0.522120i | \(-0.825141\pi\) |
0.978305 | − | 0.207169i | \(-0.0664248\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −34.9673 | + | 28.3525i | −1.75055 | + | 1.41940i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −30.0457 | + | 13.2865i | −1.50041 | + | 0.663495i | −0.981522 | − | 0.191347i | \(-0.938714\pi\) |
−0.518889 | + | 0.854842i | \(0.673654\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.15454 | + | 8.57987i | −0.107325 | + | 0.427394i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.71190 | − | 0.651397i | 0.283826 | − | 0.0323682i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.7991 | + | 8.84858i | −0.584862 | + | 0.438608i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.2793 | − | 26.4384i | 1.10164 | − | 1.30729i | 0.153961 | − | 0.988077i | \(-0.450797\pi\) |
0.947682 | − | 0.319217i | \(-0.103420\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 12.8546 | + | 25.1110i | 0.634070 | + | 1.23863i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 16.7304 | − | 44.5049i | 0.823250 | − | 2.18994i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.1452 | − | 5.94299i | 0.498009 | − | 0.291730i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.17335 | + | 1.62790i | −0.0574592 | + | 0.0797186i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.22057 | + | 2.79840i | 0.255042 | + | 0.136711i | 0.594989 | − | 0.803734i | \(-0.297156\pi\) |
−0.339948 | + | 0.940444i | \(0.610409\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.7062 | − | 31.5817i | −0.862949 | − | 1.53920i | −0.842040 | − | 0.539416i | \(-0.818645\pi\) |
−0.0209090 | − | 0.999781i | \(-0.506656\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.07925 | − | 31.1191i | −0.441448 | − | 1.51306i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.61335 | + | 5.91507i | 0.223780 | + | 0.286923i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.6612 | + | 33.6802i | 0.612716 | + | 1.62990i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −11.6835 | + | 7.45183i | −0.564083 | + | 0.359778i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.62732 | + | 2.22477i | 0.463732 | + | 0.107164i | 0.450553 | − | 0.892750i | \(-0.351227\pi\) |
0.0131784 | + | 0.999913i | \(0.495805\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.08343 | − | 16.8747i | 0.340408 | − | 0.810944i | −0.657917 | − | 0.753091i | \(-0.728562\pi\) |
0.998325 | − | 0.0578538i | \(-0.0184257\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.71310 | + | 18.0497i | 0.0821367 | + | 0.865419i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.76929 | − | 1.91746i | 0.132473 | − | 0.0917246i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.32757 | + | 2.03798i | 0.111089 | + | 0.0972674i | 0.712499 | − | 0.701673i | \(-0.247563\pi\) |
−0.601411 | + | 0.798940i | \(0.705394\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 47.3746 | + | 32.8022i | 2.25593 | + | 1.56201i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.60000 | + | 4.20954i | 0.313575 | + | 0.200001i | 0.685150 | − | 0.728402i | \(-0.259736\pi\) |
−0.371575 | + | 0.928403i | \(0.621182\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.339424 | − | 2.54713i | 0.0160902 | − | 0.120746i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 28.8144 | − | 47.1208i | 1.36287 | − | 2.22874i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.90408 | + | 10.0933i | 0.467403 | + | 0.476333i | 0.906560 | − | 0.422077i | \(-0.138699\pi\) |
−0.439157 | + | 0.898410i | \(0.644723\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.03758 | − | 9.64588i | 0.0959458 | − | 0.454207i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −20.4016 | + | 36.3892i | −0.958550 | + | 1.70972i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.82110 | − | 19.1987i | −0.226017 | − | 0.900051i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.99718 | + | 6.01295i | 0.186980 | + | 0.281274i | 0.914311 | − | 0.405014i | \(-0.132733\pi\) |
−0.727330 | + | 0.686287i | \(0.759239\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.41948 | + | 7.25896i | 0.112932 | + | 0.338819i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.207477 | + | 0.0236611i | 0.00966318 | + | 0.00110201i | 0.118138 | − | 0.992997i | \(-0.462308\pi\) |
−0.108475 | + | 0.994099i | \(0.534597\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 37.4153 | − | 1.41686i | 1.73884 | − | 0.0658473i | 0.850763 | − | 0.525550i | \(-0.176140\pi\) |
0.888073 | + | 0.459703i | \(0.152044\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.599494 | + | 10.5476i | −0.0278009 | + | 0.489134i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.37084 | − | 7.14773i | −0.202258 | − | 0.330757i | 0.735822 | − | 0.677175i | \(-0.236796\pi\) |
−0.938081 | + | 0.346417i | \(0.887398\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.778477 | − | 41.1294i | 0.0359467 | − | 1.89918i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −47.0758 | + | 16.6871i | −2.16914 | + | 0.768902i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.77304 | − | 4.50946i | −0.219465 | − | 0.207345i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.1645 | + | 1.70336i | −0.512263 | + | 0.0781557i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.95494 | − | 4.20393i | −0.0895108 | − | 0.192485i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −35.0242 | − | 1.32632i | −1.60030 | − | 0.0606011i | −0.777481 | − | 0.628907i | \(-0.783503\pi\) |
−0.822818 | + | 0.568306i | \(0.807599\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.6437 | − | 20.4970i | 0.850080 | − | 0.934581i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −8.67556 | − | 7.03439i | −0.394751 | − | 0.320076i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.08610 | − | 4.56417i | −0.276356 | − | 0.207248i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.7672 | − | 2.44549i | 0.578537 | − | 0.110816i | 0.109488 | − | 0.993988i | \(-0.465079\pi\) |
0.469049 | + | 0.883172i | \(0.344597\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −54.8179 | − | 10.5001i | −2.47895 | − | 0.474830i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.549948 | + | 2.60345i | 0.0248188 | + | 0.117492i | 0.989053 | − | 0.147559i | \(-0.0471415\pi\) |
−0.964235 | + | 0.265051i | \(0.914611\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.3729 | − | 3.55303i | 0.512210 | − | 0.160020i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −6.99478 | + | 6.60851i | −0.314392 | + | 0.297030i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.0561 | + | 48.1717i | −0.720214 | + | 2.16079i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.26358 | + | 1.75308i | 0.0565655 | + | 0.0784787i | 0.838569 | − | 0.544795i | \(-0.183393\pi\) |
−0.782004 | + | 0.623274i | \(0.785802\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 34.2919 | + | 4.59186i | 1.53205 | + | 0.205149i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.968050 | + | 1.34307i | 0.0431632 | + | 0.0598844i | 0.832265 | − | 0.554378i | \(-0.187044\pi\) |
−0.789102 | + | 0.614263i | \(0.789454\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.43962 | − | 25.3207i | 0.375558 | − | 1.12675i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.37522 | + | 6.02317i | −0.283134 | + | 0.267498i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 21.3547 | − | 6.67146i | 0.946532 | − | 0.295707i | 0.214304 | − | 0.976767i | \(-0.431252\pi\) |
0.732228 | + | 0.681060i | \(0.238481\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.05161 | − | 19.1803i | −0.179233 | − | 0.848486i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −11.3141 | − | 2.16716i | −0.499529 | − | 0.0956822i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −25.4855 | + | 4.88162i | −1.12303 | + | 0.215110i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.3285 | − | 7.74567i | −0.454246 | − | 0.340654i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 36.1477 | + | 29.3096i | 1.58671 | + | 1.28655i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 20.4042 | − | 22.4324i | 0.893922 | − | 0.982781i | −0.106011 | − | 0.994365i | \(-0.533808\pi\) |
0.999933 | + | 0.0115838i | \(0.00368731\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 20.0969 | + | 0.761043i | 0.878778 | + | 0.0332781i | 0.473376 | − | 0.880860i | \(-0.343035\pi\) |
0.405402 | + | 0.914139i | \(0.367132\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.7909 | + | 33.9568i | 0.689171 | + | 1.48200i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.86332 | − | 1.04713i | 0.298971 | − | 0.0456138i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.1111 | − | 15.2214i | −0.700481 | − | 0.661798i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 40.9274 | − | 14.5077i | 1.77610 | − | 0.629581i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.350502 | + | 18.5181i | −0.0151819 | + | 0.802108i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.44712 | − | 5.63715i | −0.149032 | − | 0.243715i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.55596 | − | 62.5644i | 0.153451 | − | 2.69985i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 22.9322 | − | 0.868412i | 0.987761 | − | 0.0374051i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.26077 | − | 0.257822i | −0.0971979 | − | 0.0110847i | 0.0645731 | − | 0.997913i | \(-0.479431\pi\) |
−0.161771 | + | 0.986828i | \(0.551721\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 11.3746 | + | 34.1261i | 0.488130 | + | 1.46449i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.34622 | + | 2.02511i | 0.0576657 | + | 0.0867463i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.32334 | + | 25.1810i | 0.270367 | + | 1.07666i | 0.941955 | + | 0.335738i | \(0.108986\pi\) |
−0.671589 | + | 0.740924i | \(0.734388\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −16.0702 | + | 28.6636i | −0.685861 | + | 1.22333i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.70750 | + | 17.5513i | −0.157945 | + | 0.747709i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.65969 | − | 3.72962i | −0.155626 | − | 0.158599i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 17.2627 | − | 28.2301i | 0.732761 | − | 1.19830i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.203067 | + | 1.52387i | −0.00860423 | + | 0.0645685i | −0.995014 | − | 0.0997353i | \(-0.968200\pi\) |
0.986410 | + | 0.164304i | \(0.0525377\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.4007 | + | 6.63365i | 0.439902 | + | 0.280574i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.94157 | + | 6.19116i | 0.377513 | + | 0.261391i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −23.3989 | − | 20.4877i | −0.986147 | − | 0.863453i | 0.00448838 | − | 0.999990i | \(-0.498571\pi\) |
−0.990635 | + | 0.136537i | \(0.956403\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.0373 | − | 8.33468i | 0.506415 | − | 0.350643i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.78206 | − | 18.7763i | −0.0748394 | − | 0.788532i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3.89729 | + | 9.28441i | −0.163383 | + | 0.389223i | −0.982979 | − | 0.183720i | \(-0.941186\pi\) |
0.819596 | + | 0.572942i | \(0.194198\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.6184 | + | 2.91599i | 0.528066 | + | 0.122031i | 0.480764 | − | 0.876850i | \(-0.340359\pi\) |
0.0473018 | + | 0.998881i | \(0.484938\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 16.3909 | − | 10.4543i | 0.684740 | − | 0.436734i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.985979 | − | 2.62282i | −0.0411182 | − | 0.109379i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.8157 | + | 22.8427i | 0.741679 | + | 0.950953i | 0.999885 | − | 0.0151365i | \(-0.00481828\pi\) |
−0.258207 | + | 0.966090i | \(0.583132\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.11864 | + | 17.5441i | 0.212723 | + | 0.729107i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.8640 | − | 33.6468i | −0.782613 | − | 1.39591i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.62738 | − | 0.872327i | −0.0673990 | − | 0.0361281i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.5707 | − | 14.6657i | 0.437045 | − | 0.606354i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 33.1109 | − | 19.3961i | 1.36663 | − | 0.800564i | 0.374679 | − | 0.927155i | \(-0.377753\pi\) |
0.991955 | + | 0.126591i | \(0.0404035\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.67807 | + | 9.78411i | −0.151552 | + | 0.403147i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.44274 | + | 16.4926i | 0.347288 | + | 0.678414i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.3869 | + | 17.0726i | −0.590799 | + | 0.701088i | −0.975011 | − | 0.222157i | \(-0.928690\pi\) |
0.384212 | + | 0.923245i | \(0.374473\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.4287 | + | 9.32072i | −0.509528 | + | 0.382112i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.8847 | − | 1.46939i | 0.527334 | − | 0.0601383i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.93582 | + | 31.6023i | −0.324249 | + | 1.29123i | 0.561658 | + | 0.827370i | \(0.310164\pi\) |
−0.885907 | + | 0.463864i | \(0.846463\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −33.5540 | + | 14.8379i | −1.36870 | + | 0.605249i | −0.952643 | − | 0.304091i | \(-0.901647\pi\) |
−0.416054 | + | 0.909340i | \(0.636587\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 29.1821 | − | 23.6617i | 1.18839 | − | 0.963577i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.94399 | − | 11.3027i | 0.0790343 | − | 0.459518i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.62927 | + | 5.73682i | −0.228485 | + | 0.232851i | −0.818449 | − | 0.574579i | \(-0.805166\pi\) |
0.589964 | + | 0.807429i | \(0.299142\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 59.3123 | − | 4.49860i | 2.40346 | − | 0.182292i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 21.7950 | + | 10.6415i | 0.881730 | + | 0.430508i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.9527 | + | 14.4475i | −1.08861 | + | 0.583530i | −0.915885 | − | 0.401441i | \(-0.868510\pi\) |
−0.172723 | + | 0.984970i | \(0.555257\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.74932 | + | 21.7991i | 0.151187 | + | 0.879026i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.70668 | − | 47.6218i | −0.108967 | − | 1.91718i | −0.333557 | − | 0.942730i | \(-0.608249\pi\) |
0.224590 | − | 0.974453i | \(-0.427896\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.2087 | − | 12.1144i | −0.410323 | − | 0.486921i | 0.519738 | − | 0.854326i | \(-0.326029\pi\) |
−0.930061 | + | 0.367405i | \(0.880246\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.0540873 | − | 2.85760i | −0.00217045 | − | 0.114672i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.33391 | − | 1.27150i | −0.333891 | − | 0.0509416i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.0264074 | − | 0.278238i | 0.00105630 | − | 0.0111295i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −14.7138 | + | 7.18405i | −0.587612 | + | 0.286903i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −20.4960 | − | 7.26529i | −0.817229 | − | 0.289686i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.9037 | + | 2.95854i | 0.434070 | + | 0.117777i | 0.472192 | − | 0.881496i | \(-0.343463\pi\) |
−0.0381219 | + | 0.999273i | \(0.512138\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −38.1375 | + | 33.3925i | −1.51583 | + | 1.32723i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 15.1684 | + | 8.88552i | 0.601938 | + | 0.352611i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −42.0062 | + | 9.70720i | −1.66435 | + | 0.384613i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −43.0914 | + | 17.1366i | −1.70467 | + | 0.677913i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.50318 | + | 3.58098i | 0.0593720 | + | 0.141440i | 0.949029 | − | 0.315190i | \(-0.102068\pi\) |
−0.889657 | + | 0.456630i | \(0.849056\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.89854 | − | 3.18667i | −0.114307 | − | 0.125670i | 0.679931 | − | 0.733276i | \(-0.262010\pi\) |
−0.794239 | + | 0.607606i | \(0.792130\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.6896 | + | 5.44409i | 0.539028 | + | 0.214361i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 25.5138 | + | 7.97079i | 1.00305 | + | 0.313364i | 0.755243 | − | 0.655445i | \(-0.227519\pi\) |
0.247807 | + | 0.968809i | \(0.420290\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.57371 | − | 14.4017i | 0.375801 | − | 0.565317i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 34.5606 | + | 2.62128i | 1.35454 | + | 0.102736i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −4.87425 | + | 16.7065i | −0.190744 | + | 0.653774i | 0.807235 | + | 0.590230i | \(0.200963\pi\) |
−0.997979 | + | 0.0635436i | \(0.979760\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.601121 | − | 1.17427i | 0.0234877 | − | 0.0458824i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.0107 | − | 14.1175i | 0.429568 | − | 0.550776i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.13661 | − | 0.851065i | 0.122185 | − | 0.0331528i | −0.200247 | − | 0.979745i | \(-0.564174\pi\) |
0.322432 | + | 0.946593i | \(0.395500\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.7185 | + | 23.0491i | −0.416901 | + | 0.896508i | 0.579754 | + | 0.814791i | \(0.303149\pi\) |
−0.996656 | + | 0.0817162i | \(0.973960\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.6865 | − | 8.26334i | −0.725725 | − | 0.320922i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.08948 | − | 23.1843i | −0.119805 | − | 0.899049i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.45065 | −0.172330 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 59.1429 | 2.28660 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.72869 | + | 12.9726i | 0.0667355 | + | 0.500802i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.5532 | − | 5.99332i | −0.522436 | − | 0.231026i | 0.126365 | − | 0.991984i | \(-0.459669\pi\) |
−0.648801 | + | 0.760958i | \(0.724729\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.04081 | + | 8.68940i | −0.155531 | + | 0.334455i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.23620 | + | 0.606754i | −0.0859441 | + | 0.0233194i | −0.304577 | − | 0.952488i | \(-0.598515\pi\) |
0.218633 | + | 0.975807i | \(0.429840\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −15.3490 | + | 19.6800i | −0.589042 | + | 0.755248i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −20.2306 | + | 39.5198i | −0.775239 | + | 1.51440i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.46713 | + | 22.1660i | −0.247458 | + | 0.848159i | 0.737497 | + | 0.675350i | \(0.236007\pi\) |
−0.984955 | + | 0.172809i | \(0.944716\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.6148 | − | 1.10847i | −0.558401 | − | 0.0423525i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −37.4214 | + | 56.2929i | −1.42772 | + | 2.14771i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.31104 | + | 1.03441i | 0.126140 | + | 0.0394077i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 47.0475 | + | 18.7099i | 1.78977 | + | 0.711757i | 0.994406 | + | 0.105627i | \(0.0336851\pi\) |
0.795366 | + | 0.606130i | \(0.207279\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 21.2426 | + | 23.3542i | 0.806942 | + | 0.887154i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.403537 | − | 0.961334i | −0.0153070 | − | 0.0364655i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.5071 | − | 5.37152i | 0.511619 | − | 0.203461i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 37.1552 | − | 8.58618i | 1.40534 | − | 0.324759i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 27.7970 | + | 16.2833i | 1.04988 | + | 0.615011i | 0.926092 | − | 0.377297i | \(-0.123147\pi\) |
0.123787 | + | 0.992309i | \(0.460496\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 24.6315 | − | 21.5669i | 0.928993 | − | 0.813410i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 27.9547 | + | 7.58503i | 1.05284 | + | 0.285669i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −82.5317 | − | 29.2553i | −3.10392 | − | 1.10026i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.1344 | − | 11.7837i | 0.906386 | − | 0.442546i | 0.0743274 | − | 0.997234i | \(-0.476319\pi\) |
0.832058 | + | 0.554688i | \(0.187162\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.450897 | − | 4.75080i | 0.0169100 | − | 0.178169i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.56368 | − | 0.391139i | −0.0960104 | − | 0.0146483i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.136251 | − | 7.19856i | −0.00509549 | − | 0.269211i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.29462 | + | 9.84304i | 0.309768 | + | 0.367595i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.870650 | − | 15.3184i | −0.0324698 | − | 0.571280i | −0.972890 | − | 0.231267i | \(-0.925713\pi\) |
0.940421 | − | 0.340013i | \(-0.110432\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.4302 | + | 83.8995i | 0.537409 | + | 3.12458i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 41.3838 | − | 22.1831i | 1.53908 | − | 0.824998i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 13.4096 | + | 6.54729i | 0.498021 | + | 0.243160i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −35.8496 | + | 2.71904i | −1.32959 | + | 0.100844i | −0.721161 | − | 0.692767i | \(-0.756391\pi\) |
−0.608425 | + | 0.793611i | \(0.708199\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.6518 | − | 30.2183i | 1.09821 | − | 1.11920i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.64109 | − | 9.54155i | 0.0606978 | − | 0.352907i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.2241 | − | 14.7766i | 0.673123 | − | 0.545788i | −0.231056 | − | 0.972940i | \(-0.574218\pi\) |
0.904180 | + | 0.427152i | \(0.140483\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −47.0893 | + | 20.8233i | −1.73692 | + | 0.768079i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.64415 | − | 14.5119i | 0.134234 | − | 0.534551i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 27.0443 | − | 3.08419i | 0.994841 | − | 0.113454i | 0.399335 | − | 0.916805i | \(-0.369241\pi\) |
0.595506 | + | 0.803351i | \(0.296952\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 24.6099 | − | 18.4558i | 0.904068 | − | 0.677991i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.0462 | + | 40.4018i | −1.24903 | + | 1.48220i | −0.436039 | + | 0.899928i | \(0.643619\pi\) |
−0.812994 | + | 0.582272i | \(0.802164\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13.0763 | + | 25.5442i | 0.479080 | + | 0.935865i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 12.3964 | − | 32.9760i | 0.453562 | − | 1.20653i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −18.7047 | + | 10.9571i | −0.683456 | + | 0.400364i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.5201 | + | 24.3074i | −0.639319 | + | 0.886988i | −0.998936 | − | 0.0461119i | \(-0.985317\pi\) |
0.359617 | + | 0.933100i | \(0.382907\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.1698 | − | 5.45136i | −0.370609 | − | 0.198659i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.5998 | − | 18.9064i | −0.385767 | − | 0.688073i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.6888 | + | 46.9184i | 0.497529 | + | 1.70528i | 0.689856 | + | 0.723947i | \(0.257674\pi\) |
−0.192326 | + | 0.981331i | \(0.561603\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.49840 | − | 3.20336i | −0.0906863 | − | 0.116275i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2.30305 | + | 6.12639i | 0.0834857 | + | 0.222082i | 0.971178 | − | 0.238355i | \(-0.0766083\pi\) |
−0.887692 | + | 0.460437i | \(0.847693\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.72626 | − | 4.29007i | 0.243507 | − | 0.155311i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −13.8239 | − | 3.19456i | −0.499805 | − | 0.115500i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −12.5749 | + | 29.9567i | −0.454052 | + | 1.08167i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.11672 | − | 11.7661i | −0.0402698 | − | 0.424296i | −0.992794 | − | 0.119833i | \(-0.961764\pi\) |
0.952524 | − | 0.304463i | \(-0.0984769\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 44.7883 | − | 31.0115i | 1.61301 | − | 1.11685i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 37.0460 | + | 32.4368i | 1.33245 | + | 1.16667i | 0.972289 | + | 0.233783i | \(0.0751104\pi\) |
0.360164 | + | 0.932889i | \(0.382721\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.14885 | + | 4.94988i | 0.256794 | + | 0.177805i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −91.5273 | − | 58.3770i | −3.28353 | − | 2.09426i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.89073 | + | 21.6929i | −0.103571 | + | 0.777228i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.63503 | + | 15.7564i | −0.344768 | + | 0.563808i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 10.6608 | + | 10.8645i | 0.380985 | + | 0.388265i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.36325 | − | 25.3896i | 0.191422 | − | 0.906192i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.3659 | + | 29.1911i | −0.583382 | + | 1.04055i | 0.408423 | + | 0.912793i | \(0.366079\pi\) |
−0.991806 | + | 0.127756i | \(0.959222\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.3250 | − | 49.0809i | −0.438780 | − | 1.74732i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −26.5917 | − | 40.0018i | −0.945491 | − | 1.42230i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.77454 | − | 23.3253i | −0.276082 | − | 0.828304i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.11600 | + | 0.469398i | 0.145980 | + | 0.0166478i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) |