Newspace parameters
Level: | \( N \) | = | \( 6047 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 6047.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(48.2855381023\) |
Analytic rank: | \(1\) |
Dimension: | \(217\) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.7 | ||
Character | \(\chi\) | = | 6047.1 |
$q$-expansion
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.65722 | −1.87894 | −0.939471 | − | 0.342629i | \(-0.888683\pi\) | ||||
−0.939471 | + | 0.342629i | \(0.888683\pi\) | |||||||
\(3\) | 0.109936 | 0.0634718 | 0.0317359 | − | 0.999496i | \(-0.489896\pi\) | ||||
0.0317359 | + | 0.999496i | \(0.489896\pi\) | |||||||
\(4\) | 5.06084 | 2.53042 | ||||||||
\(5\) | 0.753739 | 0.337083 | 0.168541 | − | 0.985695i | \(-0.446094\pi\) | ||||
0.168541 | + | 0.985695i | \(0.446094\pi\) | |||||||
\(6\) | −0.292126 | −0.119260 | ||||||||
\(7\) | 3.98656 | 1.50678 | 0.753389 | − | 0.657576i | \(-0.228418\pi\) | ||||
0.753389 | + | 0.657576i | \(0.228418\pi\) | |||||||
\(8\) | −8.13334 | −2.87557 | ||||||||
\(9\) | −2.98791 | −0.995971 | ||||||||
\(10\) | −2.00285 | −0.633358 | ||||||||
\(11\) | 0.383918 | 0.115756 | 0.0578778 | − | 0.998324i | \(-0.481567\pi\) | ||||
0.0578778 | + | 0.998324i | \(0.481567\pi\) | |||||||
\(12\) | 0.556370 | 0.160610 | ||||||||
\(13\) | 2.64293 | 0.733016 | 0.366508 | − | 0.930415i | \(-0.380553\pi\) | ||||
0.366508 | + | 0.930415i | \(0.380553\pi\) | |||||||
\(14\) | −10.5932 | −2.83115 | ||||||||
\(15\) | 0.0828634 | 0.0213952 | ||||||||
\(16\) | 11.4904 | 2.87261 | ||||||||
\(17\) | 8.14277 | 1.97491 | 0.987456 | − | 0.157891i | \(-0.0504696\pi\) | ||||
0.987456 | + | 0.157891i | \(0.0504696\pi\) | |||||||
\(18\) | 7.93956 | 1.87137 | ||||||||
\(19\) | −5.99205 | −1.37467 | −0.687336 | − | 0.726340i | \(-0.741220\pi\) | ||||
−0.687336 | + | 0.726340i | \(0.741220\pi\) | |||||||
\(20\) | 3.81456 | 0.852961 | ||||||||
\(21\) | 0.438268 | 0.0956378 | ||||||||
\(22\) | −1.02016 | −0.217498 | ||||||||
\(23\) | −1.73696 | −0.362180 | −0.181090 | − | 0.983467i | \(-0.557963\pi\) | ||||
−0.181090 | + | 0.983467i | \(0.557963\pi\) | |||||||
\(24\) | −0.894150 | −0.182518 | ||||||||
\(25\) | −4.43188 | −0.886375 | ||||||||
\(26\) | −7.02285 | −1.37729 | ||||||||
\(27\) | −0.658289 | −0.126688 | ||||||||
\(28\) | 20.1753 | 3.81278 | ||||||||
\(29\) | 5.51678 | 1.02444 | 0.512220 | − | 0.858854i | \(-0.328823\pi\) | ||||
0.512220 | + | 0.858854i | \(0.328823\pi\) | |||||||
\(30\) | −0.220187 | −0.0402004 | ||||||||
\(31\) | −10.8615 | −1.95079 | −0.975394 | − | 0.220471i | \(-0.929241\pi\) | ||||
−0.975394 | + | 0.220471i | \(0.929241\pi\) | |||||||
\(32\) | −14.2660 | −2.52189 | ||||||||
\(33\) | 0.0422065 | 0.00734721 | ||||||||
\(34\) | −21.6372 | −3.71075 | ||||||||
\(35\) | 3.00483 | 0.507908 | ||||||||
\(36\) | −15.1214 | −2.52023 | ||||||||
\(37\) | 2.46709 | 0.405587 | 0.202793 | − | 0.979222i | \(-0.434998\pi\) | ||||
0.202793 | + | 0.979222i | \(0.434998\pi\) | |||||||
\(38\) | 15.9222 | 2.58293 | ||||||||
\(39\) | 0.290554 | 0.0465258 | ||||||||
\(40\) | −6.13042 | −0.969305 | ||||||||
\(41\) | −11.2355 | −1.75469 | −0.877345 | − | 0.479859i | \(-0.840688\pi\) | ||||
−0.877345 | + | 0.479859i | \(0.840688\pi\) | |||||||
\(42\) | −1.16458 | −0.179698 | ||||||||
\(43\) | −9.53031 | −1.45336 | −0.726679 | − | 0.686977i | \(-0.758937\pi\) | ||||
−0.726679 | + | 0.686977i | \(0.758937\pi\) | |||||||
\(44\) | 1.94295 | 0.292910 | ||||||||
\(45\) | −2.25211 | −0.335725 | ||||||||
\(46\) | 4.61548 | 0.680516 | ||||||||
\(47\) | 9.71406 | 1.41694 | 0.708470 | − | 0.705740i | \(-0.249386\pi\) | ||||
0.708470 | + | 0.705740i | \(0.249386\pi\) | |||||||
\(48\) | 1.26322 | 0.182330 | ||||||||
\(49\) | 8.89264 | 1.27038 | ||||||||
\(50\) | 11.7765 | 1.66545 | ||||||||
\(51\) | 0.895187 | 0.125351 | ||||||||
\(52\) | 13.3754 | 1.85484 | ||||||||
\(53\) | −6.80202 | −0.934329 | −0.467164 | − | 0.884170i | \(-0.654724\pi\) | ||||
−0.467164 | + | 0.884170i | \(0.654724\pi\) | |||||||
\(54\) | 1.74922 | 0.238039 | ||||||||
\(55\) | 0.289374 | 0.0390192 | ||||||||
\(56\) | −32.4240 | −4.33285 | ||||||||
\(57\) | −0.658744 | −0.0872528 | ||||||||
\(58\) | −14.6593 | −1.92486 | ||||||||
\(59\) | −1.90748 | −0.248332 | −0.124166 | − | 0.992261i | \(-0.539626\pi\) | ||||
−0.124166 | + | 0.992261i | \(0.539626\pi\) | |||||||
\(60\) | 0.419358 | 0.0541389 | ||||||||
\(61\) | −11.7282 | −1.50164 | −0.750819 | − | 0.660509i | \(-0.770341\pi\) | ||||
−0.750819 | + | 0.660509i | \(0.770341\pi\) | |||||||
\(62\) | 28.8615 | 3.66541 | ||||||||
\(63\) | −11.9115 | −1.50071 | ||||||||
\(64\) | 14.9270 | 1.86588 | ||||||||
\(65\) | 1.99208 | 0.247087 | ||||||||
\(66\) | −0.112152 | −0.0138050 | ||||||||
\(67\) | −6.26307 | −0.765156 | −0.382578 | − | 0.923923i | \(-0.624964\pi\) | ||||
−0.382578 | + | 0.923923i | \(0.624964\pi\) | |||||||
\(68\) | 41.2093 | 4.99736 | ||||||||
\(69\) | −0.190955 | −0.0229882 | ||||||||
\(70\) | −7.98450 | −0.954330 | ||||||||
\(71\) | 3.63989 | 0.431976 | 0.215988 | − | 0.976396i | \(-0.430703\pi\) | ||||
0.215988 | + | 0.976396i | \(0.430703\pi\) | |||||||
\(72\) | 24.3017 | 2.86399 | ||||||||
\(73\) | 4.38284 | 0.512972 | 0.256486 | − | 0.966548i | \(-0.417435\pi\) | ||||
0.256486 | + | 0.966548i | \(0.417435\pi\) | |||||||
\(74\) | −6.55561 | −0.762074 | ||||||||
\(75\) | −0.487224 | −0.0562598 | ||||||||
\(76\) | −30.3248 | −3.47850 | ||||||||
\(77\) | 1.53051 | 0.174418 | ||||||||
\(78\) | −0.772067 | −0.0874193 | ||||||||
\(79\) | −13.0161 | −1.46442 | −0.732211 | − | 0.681078i | \(-0.761511\pi\) | ||||
−0.732211 | + | 0.681078i | \(0.761511\pi\) | |||||||
\(80\) | 8.66079 | 0.968306 | ||||||||
\(81\) | 8.89137 | 0.987930 | ||||||||
\(82\) | 29.8553 | 3.29696 | ||||||||
\(83\) | −4.10504 | −0.450587 | −0.225293 | − | 0.974291i | \(-0.572334\pi\) | ||||
−0.225293 | + | 0.974291i | \(0.572334\pi\) | |||||||
\(84\) | 2.21800 | 0.242004 | ||||||||
\(85\) | 6.13753 | 0.665709 | ||||||||
\(86\) | 25.3242 | 2.73078 | ||||||||
\(87\) | 0.606495 | 0.0650230 | ||||||||
\(88\) | −3.12254 | −0.332863 | ||||||||
\(89\) | −1.79972 | −0.190770 | −0.0953850 | − | 0.995440i | \(-0.530408\pi\) | ||||
−0.0953850 | + | 0.995440i | \(0.530408\pi\) | |||||||
\(90\) | 5.98436 | 0.630807 | ||||||||
\(91\) | 10.5362 | 1.10449 | ||||||||
\(92\) | −8.79046 | −0.916469 | ||||||||
\(93\) | −1.19408 | −0.123820 | ||||||||
\(94\) | −25.8124 | −2.66235 | ||||||||
\(95\) | −4.51645 | −0.463378 | ||||||||
\(96\) | −1.56835 | −0.160069 | ||||||||
\(97\) | −11.3226 | −1.14964 | −0.574819 | − | 0.818281i | \(-0.694928\pi\) | ||||
−0.574819 | + | 0.818281i | \(0.694928\pi\) | |||||||
\(98\) | −23.6297 | −2.38697 | ||||||||
\(99\) | −1.14711 | −0.115289 | ||||||||
\(100\) | −22.4290 | −2.24290 | ||||||||
\(101\) | −14.2990 | −1.42281 | −0.711403 | − | 0.702784i | \(-0.751940\pi\) | ||||
−0.711403 | + | 0.702784i | \(0.751940\pi\) | |||||||
\(102\) | −2.37871 | −0.235528 | ||||||||
\(103\) | 11.1978 | 1.10335 | 0.551677 | − | 0.834058i | \(-0.313988\pi\) | ||||
0.551677 | + | 0.834058i | \(0.313988\pi\) | |||||||
\(104\) | −21.4958 | −2.10784 | ||||||||
\(105\) | 0.330340 | 0.0322378 | ||||||||
\(106\) | 18.0745 | 1.75555 | ||||||||
\(107\) | 14.1082 | 1.36389 | 0.681946 | − | 0.731403i | \(-0.261134\pi\) | ||||
0.681946 | + | 0.731403i | \(0.261134\pi\) | |||||||
\(108\) | −3.33150 | −0.320574 | ||||||||
\(109\) | 2.33398 | 0.223555 | 0.111777 | − | 0.993733i | \(-0.464346\pi\) | ||||
0.111777 | + | 0.993733i | \(0.464346\pi\) | |||||||
\(110\) | −0.768932 | −0.0733147 | ||||||||
\(111\) | 0.271223 | 0.0257433 | ||||||||
\(112\) | 45.8073 | 4.32838 | ||||||||
\(113\) | −11.9901 | −1.12794 | −0.563968 | − | 0.825797i | \(-0.690726\pi\) | ||||
−0.563968 | + | 0.825797i | \(0.690726\pi\) | |||||||
\(114\) | 1.75043 | 0.163943 | ||||||||
\(115\) | −1.30921 | −0.122085 | ||||||||
\(116\) | 27.9195 | 2.59226 | ||||||||
\(117\) | −7.89684 | −0.730063 | ||||||||
\(118\) | 5.06859 | 0.466602 | ||||||||
\(119\) | 32.4616 | 2.97575 | ||||||||
\(120\) | −0.673956 | −0.0615235 | ||||||||
\(121\) | −10.8526 | −0.986601 | ||||||||
\(122\) | 31.1644 | 2.82149 | ||||||||
\(123\) | −1.23519 | −0.111373 | ||||||||
\(124\) | −54.9684 | −4.93631 | ||||||||
\(125\) | −7.10918 | −0.635864 | ||||||||
\(126\) | 31.6515 | 2.81974 | ||||||||
\(127\) | 9.95970 | 0.883781 | 0.441890 | − | 0.897069i | \(-0.354308\pi\) | ||||
0.441890 | + | 0.897069i | \(0.354308\pi\) | |||||||
\(128\) | −11.1325 | −0.983986 | ||||||||
\(129\) | −1.04773 | −0.0922473 | ||||||||
\(130\) | −5.29340 | −0.464262 | ||||||||
\(131\) | −16.6878 | −1.45802 | −0.729012 | − | 0.684501i | \(-0.760020\pi\) | ||||
−0.729012 | + | 0.684501i | \(0.760020\pi\) | |||||||
\(132\) | 0.213600 | 0.0185915 | ||||||||
\(133\) | −23.8877 | −2.07132 | ||||||||
\(134\) | 16.6424 | 1.43768 | ||||||||
\(135\) | −0.496179 | −0.0427043 | ||||||||
\(136\) | −66.2280 | −5.67900 | ||||||||
\(137\) | −20.9167 | −1.78703 | −0.893517 | − | 0.449030i | \(-0.851770\pi\) | ||||
−0.893517 | + | 0.449030i | \(0.851770\pi\) | |||||||
\(138\) | 0.507409 | 0.0431935 | ||||||||
\(139\) | −1.43452 | −0.121674 | −0.0608371 | − | 0.998148i | \(-0.519377\pi\) | ||||
−0.0608371 | + | 0.998148i | \(0.519377\pi\) | |||||||
\(140\) | 15.2069 | 1.28522 | ||||||||
\(141\) | 1.06793 | 0.0899358 | ||||||||
\(142\) | −9.67201 | −0.811657 | ||||||||
\(143\) | 1.01467 | 0.0848507 | ||||||||
\(144\) | −34.3324 | −2.86104 | ||||||||
\(145\) | 4.15821 | 0.345321 | ||||||||
\(146\) | −11.6462 | −0.963845 | ||||||||
\(147\) | 0.977625 | 0.0806331 | ||||||||
\(148\) | 12.4855 | 1.02631 | ||||||||
\(149\) | −6.60260 | −0.540906 | −0.270453 | − | 0.962733i | \(-0.587174\pi\) | ||||
−0.270453 | + | 0.962733i | \(0.587174\pi\) | |||||||
\(150\) | 1.29466 | 0.105709 | ||||||||
\(151\) | −19.6075 | −1.59564 | −0.797819 | − | 0.602896i | \(-0.794013\pi\) | ||||
−0.797819 | + | 0.602896i | \(0.794013\pi\) | |||||||
\(152\) | 48.7354 | 3.95296 | ||||||||
\(153\) | −24.3299 | −1.96696 | ||||||||
\(154\) | −4.06691 | −0.327721 | ||||||||
\(155\) | −8.18676 | −0.657576 | ||||||||
\(156\) | 1.47045 | 0.117730 | ||||||||
\(157\) | −19.8002 | −1.58023 | −0.790113 | − | 0.612961i | \(-0.789978\pi\) | ||||
−0.790113 | + | 0.612961i | \(0.789978\pi\) | |||||||
\(158\) | 34.5866 | 2.75156 | ||||||||
\(159\) | −0.747789 | −0.0593035 | ||||||||
\(160\) | −10.7528 | −0.850086 | ||||||||
\(161\) | −6.92447 | −0.545725 | ||||||||
\(162\) | −23.6264 | −1.85626 | ||||||||
\(163\) | 17.3114 | 1.35594 | 0.677968 | − | 0.735092i | \(-0.262861\pi\) | ||||
0.677968 | + | 0.735092i | \(0.262861\pi\) | |||||||
\(164\) | −56.8611 | −4.44011 | ||||||||
\(165\) | 0.0318127 | 0.00247662 | ||||||||
\(166\) | 10.9080 | 0.846627 | ||||||||
\(167\) | 2.80771 | 0.217267 | 0.108634 | − | 0.994082i | \(-0.465352\pi\) | ||||
0.108634 | + | 0.994082i | \(0.465352\pi\) | |||||||
\(168\) | −3.56458 | −0.275013 | ||||||||
\(169\) | −6.01494 | −0.462687 | ||||||||
\(170\) | −16.3088 | −1.25083 | ||||||||
\(171\) | 17.9037 | 1.36913 | ||||||||
\(172\) | −48.2314 | −3.67761 | ||||||||
\(173\) | 7.99607 | 0.607930 | 0.303965 | − | 0.952683i | \(-0.401689\pi\) | ||||
0.303965 | + | 0.952683i | \(0.401689\pi\) | |||||||
\(174\) | −1.61159 | −0.122174 | ||||||||
\(175\) | −17.6679 | −1.33557 | ||||||||
\(176\) | 4.41138 | 0.332520 | ||||||||
\(177\) | −0.209701 | −0.0157621 | ||||||||
\(178\) | 4.78226 | 0.358446 | ||||||||
\(179\) | 15.4206 | 1.15259 | 0.576296 | − | 0.817241i | \(-0.304497\pi\) | ||||
0.576296 | + | 0.817241i | \(0.304497\pi\) | |||||||
\(180\) | −11.3976 | −0.849524 | ||||||||
\(181\) | −6.42159 | −0.477313 | −0.238657 | − | 0.971104i | \(-0.576707\pi\) | ||||
−0.238657 | + | 0.971104i | \(0.576707\pi\) | |||||||
\(182\) | −27.9970 | −2.07528 | ||||||||
\(183\) | −1.28935 | −0.0953116 | ||||||||
\(184\) | 14.1273 | 1.04148 | ||||||||
\(185\) | 1.85954 | 0.136716 | ||||||||
\(186\) | 3.17293 | 0.232650 | ||||||||
\(187\) | 3.12616 | 0.228607 | ||||||||
\(188\) | 49.1613 | 3.58546 | ||||||||
\(189\) | −2.62431 | −0.190890 | ||||||||
\(190\) | 12.0012 | 0.870659 | ||||||||
\(191\) | 8.44303 | 0.610916 | 0.305458 | − | 0.952206i | \(-0.401190\pi\) | ||||
0.305458 | + | 0.952206i | \(0.401190\pi\) | |||||||
\(192\) | 1.64102 | 0.118431 | ||||||||
\(193\) | −21.2931 | −1.53271 | −0.766357 | − | 0.642415i | \(-0.777933\pi\) | ||||
−0.766357 | + | 0.642415i | \(0.777933\pi\) | |||||||
\(194\) | 30.0867 | 2.16010 | ||||||||
\(195\) | 0.219002 | 0.0156830 | ||||||||
\(196\) | 45.0043 | 3.21459 | ||||||||
\(197\) | 12.1670 | 0.866864 | 0.433432 | − | 0.901186i | \(-0.357302\pi\) | ||||
0.433432 | + | 0.901186i | \(0.357302\pi\) | |||||||
\(198\) | 3.04814 | 0.216622 | ||||||||
\(199\) | 2.76874 | 0.196271 | 0.0981354 | − | 0.995173i | \(-0.468712\pi\) | ||||
0.0981354 | + | 0.995173i | \(0.468712\pi\) | |||||||
\(200\) | 36.0460 | 2.54884 | ||||||||
\(201\) | −0.688539 | −0.0485658 | ||||||||
\(202\) | 37.9957 | 2.67337 | ||||||||
\(203\) | 21.9930 | 1.54360 | ||||||||
\(204\) | 4.53040 | 0.317191 | ||||||||
\(205\) | −8.46864 | −0.591476 | ||||||||
\(206\) | −29.7551 | −2.07314 | ||||||||
\(207\) | 5.18987 | 0.360721 | ||||||||
\(208\) | 30.3684 | 2.10567 | ||||||||
\(209\) | −2.30046 | −0.159126 | ||||||||
\(210\) | −0.877786 | −0.0605730 | ||||||||
\(211\) | −14.6582 | −1.00911 | −0.504557 | − | 0.863378i | \(-0.668344\pi\) | ||||
−0.504557 | + | 0.863378i | \(0.668344\pi\) | |||||||
\(212\) | −34.4239 | −2.36425 | ||||||||
\(213\) | 0.400156 | 0.0274183 | ||||||||
\(214\) | −37.4887 | −2.56267 | ||||||||
\(215\) | −7.18337 | −0.489902 | ||||||||
\(216\) | 5.35409 | 0.364300 | ||||||||
\(217\) | −43.3001 | −2.93940 | ||||||||
\(218\) | −6.20191 | −0.420046 | ||||||||
\(219\) | 0.481833 | 0.0325593 | ||||||||
\(220\) | 1.46448 | 0.0987349 | ||||||||
\(221\) | 21.5208 | 1.44764 | ||||||||
\(222\) | −0.720699 | −0.0483702 | ||||||||
\(223\) | 11.5641 | 0.774390 | 0.387195 | − | 0.921998i | \(-0.373444\pi\) | ||||
0.387195 | + | 0.921998i | \(0.373444\pi\) | |||||||
\(224\) | −56.8721 | −3.79993 | ||||||||
\(225\) | 13.2421 | 0.882804 | ||||||||
\(226\) | 31.8604 | 2.11932 | ||||||||
\(227\) | −11.3874 | −0.755807 | −0.377904 | − | 0.925845i | \(-0.623355\pi\) | ||||
−0.377904 | + | 0.925845i | \(0.623355\pi\) | |||||||
\(228\) | −3.33380 | −0.220786 | ||||||||
\(229\) | 17.8075 | 1.17675 | 0.588376 | − | 0.808587i | \(-0.299767\pi\) | ||||
0.588376 | + | 0.808587i | \(0.299767\pi\) | |||||||
\(230\) | 3.47887 | 0.229390 | ||||||||
\(231\) | 0.168259 | 0.0110706 | ||||||||
\(232\) | −44.8699 | −2.94585 | ||||||||
\(233\) | 17.3767 | 1.13838 | 0.569192 | − | 0.822204i | \(-0.307256\pi\) | ||||
0.569192 | + | 0.822204i | \(0.307256\pi\) | |||||||
\(234\) | 20.9837 | 1.37175 | ||||||||
\(235\) | 7.32187 | 0.477626 | ||||||||
\(236\) | −9.65343 | −0.628385 | ||||||||
\(237\) | −1.43094 | −0.0929495 | ||||||||
\(238\) | −86.2579 | −5.59127 | ||||||||
\(239\) | −19.5310 | −1.26335 | −0.631677 | − | 0.775232i | \(-0.717633\pi\) | ||||
−0.631677 | + | 0.775232i | \(0.717633\pi\) | |||||||
\(240\) | 0.952136 | 0.0614601 | ||||||||
\(241\) | 19.6798 | 1.26769 | 0.633845 | − | 0.773460i | \(-0.281476\pi\) | ||||
0.633845 | + | 0.773460i | \(0.281476\pi\) | |||||||
\(242\) | 28.8378 | 1.85376 | ||||||||
\(243\) | 2.95235 | 0.189394 | ||||||||
\(244\) | −59.3544 | −3.79977 | ||||||||
\(245\) | 6.70274 | 0.428222 | ||||||||
\(246\) | 3.28218 | 0.209264 | ||||||||
\(247\) | −15.8366 | −1.00766 | ||||||||
\(248\) | 88.3405 | 5.60963 | ||||||||
\(249\) | −0.451293 | −0.0285996 | ||||||||
\(250\) | 18.8907 | 1.19475 | ||||||||
\(251\) | 17.6413 | 1.11351 | 0.556756 | − | 0.830676i | \(-0.312046\pi\) | ||||
0.556756 | + | 0.830676i | \(0.312046\pi\) | |||||||
\(252\) | −60.2822 | −3.79742 | ||||||||
\(253\) | −0.666848 | −0.0419244 | ||||||||
\(254\) | −26.4652 | −1.66057 | ||||||||
\(255\) | 0.674738 | 0.0422537 | ||||||||
\(256\) | −0.272444 | −0.0170278 | ||||||||
\(257\) | 8.66961 | 0.540796 | 0.270398 | − | 0.962749i | \(-0.412845\pi\) | ||||
0.270398 | + | 0.962749i | \(0.412845\pi\) | |||||||
\(258\) | 2.78405 | 0.173327 | ||||||||
\(259\) | 9.83519 | 0.611129 | ||||||||
\(260\) | 10.0816 | 0.625234 | ||||||||
\(261\) | −16.4837 | −1.02031 | ||||||||
\(262\) | 44.3434 | 2.73954 | ||||||||
\(263\) | 6.35897 | 0.392111 | 0.196056 | − | 0.980593i | \(-0.437187\pi\) | ||||
0.196056 | + | 0.980593i | \(0.437187\pi\) | |||||||
\(264\) | −0.343280 | −0.0211274 | ||||||||
\(265\) | −5.12695 | −0.314946 | ||||||||
\(266\) | 63.4749 | 3.89190 | ||||||||
\(267\) | −0.197855 | −0.0121085 | ||||||||
\(268\) | −31.6964 | −1.93617 | ||||||||
\(269\) | 6.45664 | 0.393668 | 0.196834 | − | 0.980437i | \(-0.436934\pi\) | ||||
0.196834 | + | 0.980437i | \(0.436934\pi\) | |||||||
\(270\) | 1.31846 | 0.0802388 | ||||||||
\(271\) | −5.59309 | −0.339756 | −0.169878 | − | 0.985465i | \(-0.554337\pi\) | ||||
−0.169878 | + | 0.985465i | \(0.554337\pi\) | |||||||
\(272\) | 93.5640 | 5.67315 | ||||||||
\(273\) | 1.15831 | 0.0701041 | ||||||||
\(274\) | 55.5804 | 3.35773 | ||||||||
\(275\) | −1.70148 | −0.102603 | ||||||||
\(276\) | −0.966391 | −0.0581699 | ||||||||
\(277\) | 18.3752 | 1.10406 | 0.552031 | − | 0.833824i | \(-0.313853\pi\) | ||||
0.552031 | + | 0.833824i | \(0.313853\pi\) | |||||||
\(278\) | 3.81184 | 0.228619 | ||||||||
\(279\) | 32.4533 | 1.94293 | ||||||||
\(280\) | −24.4393 | −1.46053 | ||||||||
\(281\) | 10.0851 | 0.601629 | 0.300815 | − | 0.953683i | \(-0.402741\pi\) | ||||
0.300815 | + | 0.953683i | \(0.402741\pi\) | |||||||
\(282\) | −2.83772 | −0.168984 | ||||||||
\(283\) | 13.7718 | 0.818649 | 0.409324 | − | 0.912389i | \(-0.365764\pi\) | ||||
0.409324 | + | 0.912389i | \(0.365764\pi\) | |||||||
\(284\) | 18.4209 | 1.09308 | ||||||||
\(285\) | −0.496522 | −0.0294114 | ||||||||
\(286\) | −2.69620 | −0.159429 | ||||||||
\(287\) | −44.7910 | −2.64393 | ||||||||
\(288\) | 42.6255 | 2.51173 | ||||||||
\(289\) | 49.3048 | 2.90028 | ||||||||
\(290\) | −11.0493 | −0.648838 | ||||||||
\(291\) | −1.24477 | −0.0729696 | ||||||||
\(292\) | 22.1808 | 1.29804 | ||||||||
\(293\) | 3.78930 | 0.221374 | 0.110687 | − | 0.993855i | \(-0.464695\pi\) | ||||
0.110687 | + | 0.993855i | \(0.464695\pi\) | |||||||
\(294\) | −2.59777 | −0.151505 | ||||||||
\(295\) | −1.43774 | −0.0837084 | ||||||||
\(296\) | −20.0657 | −1.16629 | ||||||||
\(297\) | −0.252729 | −0.0146648 | ||||||||
\(298\) | 17.5446 | 1.01633 | ||||||||
\(299\) | −4.59065 | −0.265484 | ||||||||
\(300\) | −2.46577 | −0.142361 | ||||||||
\(301\) | −37.9931 | −2.18989 | ||||||||
\(302\) | 52.1016 | 2.99811 | ||||||||
\(303\) | −1.57198 | −0.0903080 | ||||||||
\(304\) | −68.8513 | −3.94889 | ||||||||
\(305\) | −8.83998 | −0.506176 | ||||||||
\(306\) | 64.6500 | 3.69580 | ||||||||
\(307\) | 8.74445 | 0.499072 | 0.249536 | − | 0.968366i | \(-0.419722\pi\) | ||||
0.249536 | + | 0.968366i | \(0.419722\pi\) | |||||||
\(308\) | 7.74567 | 0.441351 | ||||||||
\(309\) | 1.23105 | 0.0700318 | ||||||||
\(310\) | 21.7541 | 1.23555 | ||||||||
\(311\) | 3.24763 | 0.184156 | 0.0920782 | − | 0.995752i | \(-0.470649\pi\) | ||||
0.0920782 | + | 0.995752i | \(0.470649\pi\) | |||||||
\(312\) | −2.36317 | −0.133788 | ||||||||
\(313\) | 9.96281 | 0.563131 | 0.281566 | − | 0.959542i | \(-0.409146\pi\) | ||||
0.281566 | + | 0.959542i | \(0.409146\pi\) | |||||||
\(314\) | 52.6135 | 2.96915 | ||||||||
\(315\) | −8.97816 | −0.505862 | ||||||||
\(316\) | −65.8722 | −3.70560 | ||||||||
\(317\) | 17.1522 | 0.963366 | 0.481683 | − | 0.876345i | \(-0.340026\pi\) | ||||
0.481683 | + | 0.876345i | \(0.340026\pi\) | |||||||
\(318\) | 1.98704 | 0.111428 | ||||||||
\(319\) | 2.11799 | 0.118585 | ||||||||
\(320\) | 11.2511 | 0.628955 | ||||||||
\(321\) | 1.55100 | 0.0865686 | ||||||||
\(322\) | 18.3999 | 1.02539 | ||||||||
\(323\) | −48.7919 | −2.71486 | ||||||||
\(324\) | 44.9978 | 2.49988 | ||||||||
\(325\) | −11.7131 | −0.649727 | ||||||||
\(326\) | −46.0003 | −2.54772 | ||||||||
\(327\) | 0.256589 | 0.0141894 | ||||||||
\(328\) | 91.3822 | 5.04574 | ||||||||
\(329\) | 38.7257 | 2.13501 | ||||||||
\(330\) | −0.0845335 | −0.00465342 | ||||||||
\(331\) | −31.9960 | −1.75866 | −0.879328 | − | 0.476216i | \(-0.842008\pi\) | ||||
−0.879328 | + | 0.476216i | \(0.842008\pi\) | |||||||
\(332\) | −20.7750 | −1.14017 | ||||||||
\(333\) | −7.37145 | −0.403953 | ||||||||
\(334\) | −7.46072 | −0.408232 | ||||||||
\(335\) | −4.72072 | −0.257921 | ||||||||
\(336\) | 5.03589 | 0.274730 | ||||||||
\(337\) | −23.8337 | −1.29830 | −0.649151 | − | 0.760660i | \(-0.724876\pi\) | ||||
−0.649151 | + | 0.760660i | \(0.724876\pi\) | |||||||
\(338\) | 15.9830 | 0.869363 | ||||||||
\(339\) | −1.31815 | −0.0715921 | ||||||||
\(340\) | 31.0611 | 1.68452 | ||||||||
\(341\) | −4.16993 | −0.225814 | ||||||||
\(342\) | −47.5743 | −2.57252 | ||||||||
\(343\) | 7.54513 | 0.407399 | ||||||||
\(344\) | 77.5133 | 4.17924 | ||||||||
\(345\) | −0.143930 | −0.00774893 | ||||||||
\(346\) | −21.2474 | −1.14226 | ||||||||
\(347\) | 13.6207 | 0.731198 | 0.365599 | − | 0.930772i | \(-0.380864\pi\) | ||||
0.365599 | + | 0.930772i | \(0.380864\pi\) | |||||||
\(348\) | 3.06937 | 0.164536 | ||||||||
\(349\) | 0.298770 | 0.0159928 | 0.00799638 | − | 0.999968i | \(-0.497455\pi\) | ||||
0.00799638 | + | 0.999968i | \(0.497455\pi\) | |||||||
\(350\) | 46.9477 | 2.50946 | ||||||||
\(351\) | −1.73981 | −0.0928642 | ||||||||
\(352\) | −5.47696 | −0.291923 | ||||||||
\(353\) | −4.86633 | −0.259009 | −0.129504 | − | 0.991579i | \(-0.541339\pi\) | ||||
−0.129504 | + | 0.991579i | \(0.541339\pi\) | |||||||
\(354\) | 0.557222 | 0.0296160 | ||||||||
\(355\) | 2.74353 | 0.145611 | ||||||||
\(356\) | −9.10810 | −0.482728 | ||||||||
\(357\) | 3.56871 | 0.188876 | ||||||||
\(358\) | −40.9761 | −2.16565 | ||||||||
\(359\) | −1.85735 | −0.0980273 | −0.0490136 | − | 0.998798i | \(-0.515608\pi\) | ||||
−0.0490136 | + | 0.998798i | \(0.515608\pi\) | |||||||
\(360\) | 18.3172 | 0.965400 | ||||||||
\(361\) | 16.9047 | 0.889721 | ||||||||
\(362\) | 17.0636 | 0.896844 | ||||||||
\(363\) | −1.19310 | −0.0626213 | ||||||||
\(364\) | 53.3219 | 2.79483 | ||||||||
\(365\) | 3.30352 | 0.172914 | ||||||||
\(366\) | 3.42610 | 0.179085 | ||||||||
\(367\) | 19.9137 | 1.03949 | 0.519745 | − | 0.854322i | \(-0.326027\pi\) | ||||
0.519745 | + | 0.854322i | \(0.326027\pi\) | |||||||
\(368\) | −19.9584 | −1.04040 | ||||||||
\(369\) | 33.5707 | 1.74762 | ||||||||
\(370\) | −4.94122 | −0.256882 | ||||||||
\(371\) | −27.1166 | −1.40783 | ||||||||
\(372\) | −6.04303 | −0.313317 | ||||||||
\(373\) | −19.0628 | −0.987036 | −0.493518 | − | 0.869736i | \(-0.664289\pi\) | ||||
−0.493518 | + | 0.869736i | \(0.664289\pi\) | |||||||
\(374\) | −8.30690 | −0.429539 | ||||||||
\(375\) | −0.781557 | −0.0403594 | ||||||||
\(376\) | −79.0078 | −4.07451 | ||||||||
\(377\) | 14.5804 | 0.750931 | ||||||||
\(378\) | 6.97338 | 0.358672 | ||||||||
\(379\) | 7.18360 | 0.368997 | 0.184498 | − | 0.982833i | \(-0.440934\pi\) | ||||
0.184498 | + | 0.982833i | \(0.440934\pi\) | |||||||
\(380\) | −22.8570 | −1.17254 | ||||||||
\(381\) | 1.09493 | 0.0560951 | ||||||||
\(382\) | −22.4350 | −1.14788 | ||||||||
\(383\) | −20.1213 | −1.02815 | −0.514075 | − | 0.857745i | \(-0.671865\pi\) | ||||
−0.514075 | + | 0.857745i | \(0.671865\pi\) | |||||||
\(384\) | −1.22387 | −0.0624553 | ||||||||
\(385\) | 1.15361 | 0.0587932 | ||||||||
\(386\) | 56.5807 | 2.87988 | ||||||||
\(387\) | 28.4757 | 1.44750 | ||||||||
\(388\) | −57.3020 | −2.90907 | ||||||||
\(389\) | −5.47602 | −0.277645 | −0.138823 | − | 0.990317i | \(-0.544332\pi\) | ||||
−0.138823 | + | 0.990317i | \(0.544332\pi\) | |||||||
\(390\) | −0.581937 | −0.0294675 | ||||||||
\(391\) | −14.1436 | −0.715275 | ||||||||
\(392\) | −72.3269 | −3.65306 | ||||||||
\(393\) | −1.83460 | −0.0925434 | ||||||||
\(394\) | −32.3305 | −1.62879 | ||||||||
\(395\) | −9.81072 | −0.493631 | ||||||||
\(396\) | −5.80536 | −0.291730 | ||||||||
\(397\) | −21.0567 | −1.05680 | −0.528402 | − | 0.848994i | \(-0.677209\pi\) | ||||
−0.528402 | + | 0.848994i | \(0.677209\pi\) | |||||||
\(398\) | −7.35716 | −0.368781 | ||||||||
\(399\) | −2.62612 | −0.131471 | ||||||||
\(400\) | −50.9242 | −2.54621 | ||||||||
\(401\) | 2.83248 | 0.141447 | 0.0707237 | − | 0.997496i | \(-0.477469\pi\) | ||||
0.0707237 | + | 0.997496i | \(0.477469\pi\) | |||||||
\(402\) | 1.82960 | 0.0912523 | ||||||||
\(403\) | −28.7062 | −1.42996 | ||||||||
\(404\) | −72.3651 | −3.60030 | ||||||||
\(405\) | 6.70178 | 0.333014 | ||||||||
\(406\) | −58.4402 | −2.90034 | ||||||||
\(407\) | 0.947159 | 0.0469489 | ||||||||
\(408\) | −7.28086 | −0.360456 | ||||||||
\(409\) | 0.484995 | 0.0239815 | 0.0119907 | − | 0.999928i | \(-0.496183\pi\) | ||||
0.0119907 | + | 0.999928i | \(0.496183\pi\) | |||||||
\(410\) | 22.5031 | 1.11135 | ||||||||
\(411\) | −2.29950 | −0.113426 | ||||||||
\(412\) | 56.6704 | 2.79195 | ||||||||
\(413\) | −7.60426 | −0.374181 | ||||||||
\(414\) | −13.7907 | −0.677774 | ||||||||
\(415\) | −3.09413 | −0.151885 | ||||||||
\(416\) | −37.7039 | −1.84859 | ||||||||
\(417\) | −0.157706 | −0.00772288 | ||||||||
\(418\) | 6.11283 | 0.298988 | ||||||||
\(419\) | 37.0157 | 1.80833 | 0.904167 | − | 0.427179i | \(-0.140492\pi\) | ||||
0.904167 | + | 0.427179i | \(0.140492\pi\) | |||||||
\(420\) | 1.67180 | 0.0815753 | ||||||||
\(421\) | 17.7645 | 0.865789 | 0.432895 | − | 0.901445i | \(-0.357492\pi\) | ||||
0.432895 | + | 0.901445i | \(0.357492\pi\) | |||||||
\(422\) | 38.9502 | 1.89607 | ||||||||
\(423\) | −29.0248 | −1.41123 | ||||||||
\(424\) | 55.3231 | 2.68673 | ||||||||
\(425\) | −36.0878 | −1.75051 | ||||||||
\(426\) | −1.06331 | −0.0515173 | ||||||||
\(427\) | −46.7550 | −2.26263 | ||||||||
\(428\) | 71.3994 | 3.45122 | ||||||||
\(429\) | 0.111549 | 0.00538562 | ||||||||
\(430\) | 19.0878 | 0.920497 | ||||||||
\(431\) | −29.4236 | −1.41729 | −0.708644 | − | 0.705567i | \(-0.750693\pi\) | ||||
−0.708644 | + | 0.705567i | \(0.750693\pi\) | |||||||
\(432\) | −7.56403 | −0.363925 | ||||||||
\(433\) | 18.5214 | 0.890081 | 0.445040 | − | 0.895510i | \(-0.353189\pi\) | ||||
0.445040 | + | 0.895510i | \(0.353189\pi\) | |||||||
\(434\) | 115.058 | 5.52296 | ||||||||
\(435\) | 0.457139 | 0.0219181 | ||||||||
\(436\) | 11.8119 | 0.565687 | ||||||||
\(437\) | 10.4079 | 0.497879 | ||||||||
\(438\) | −1.28034 | −0.0611770 | ||||||||
\(439\) | 17.5923 | 0.839635 | 0.419817 | − | 0.907609i | \(-0.362094\pi\) | ||||
0.419817 | + | 0.907609i | \(0.362094\pi\) | |||||||
\(440\) | −2.35358 | −0.112202 | ||||||||
\(441\) | −26.5705 | −1.26526 | ||||||||
\(442\) | −57.1855 | −2.72004 | ||||||||
\(443\) | 7.12922 | 0.338719 | 0.169360 | − | 0.985554i | \(-0.445830\pi\) | ||||
0.169360 | + | 0.985554i | \(0.445830\pi\) | |||||||
\(444\) | 1.37261 | 0.0651414 | ||||||||
\(445\) | −1.35652 | −0.0643052 | ||||||||
\(446\) | −30.7284 | −1.45503 | ||||||||
\(447\) | −0.725866 | −0.0343323 | ||||||||
\(448\) | 59.5075 | 2.81146 | ||||||||
\(449\) | −1.20234 | −0.0567419 | −0.0283709 | − | 0.999597i | \(-0.509032\pi\) | ||||
−0.0283709 | + | 0.999597i | \(0.509032\pi\) | |||||||
\(450\) | −35.1871 | −1.65874 | ||||||||
\(451\) | −4.31351 | −0.203115 | ||||||||
\(452\) | −60.6801 | −2.85415 | ||||||||
\(453\) | −2.15558 | −0.101278 | ||||||||
\(454\) | 30.2588 | 1.42012 | ||||||||
\(455\) | 7.94154 | 0.372305 | ||||||||
\(456\) | 5.35779 | 0.250902 | ||||||||
\(457\) | −12.9134 | −0.604064 | −0.302032 | − | 0.953298i | \(-0.597665\pi\) | ||||
−0.302032 | + | 0.953298i | \(0.597665\pi\) | |||||||
\(458\) | −47.3185 | −2.21105 | ||||||||
\(459\) | −5.36030 | −0.250197 | ||||||||
\(460\) | −6.62571 | −0.308926 | ||||||||
\(461\) | 30.6969 | 1.42970 | 0.714849 | − | 0.699279i | \(-0.246495\pi\) | ||||
0.714849 | + | 0.699279i | \(0.246495\pi\) | |||||||
\(462\) | −0.447101 | −0.0208010 | ||||||||
\(463\) | 34.0402 | 1.58198 | 0.790992 | − | 0.611827i | \(-0.209565\pi\) | ||||
0.790992 | + | 0.611827i | \(0.209565\pi\) | |||||||
\(464\) | 63.3902 | 2.94282 | ||||||||
\(465\) | −0.900022 | −0.0417375 | ||||||||
\(466\) | −46.1738 | −2.13896 | ||||||||
\(467\) | −25.6968 | −1.18911 | −0.594554 | − | 0.804056i | \(-0.702671\pi\) | ||||
−0.594554 | + | 0.804056i | \(0.702671\pi\) | |||||||
\(468\) | −39.9647 | −1.84737 | ||||||||
\(469\) | −24.9681 | −1.15292 | ||||||||
\(470\) | −19.4558 | −0.897431 | ||||||||
\(471\) | −2.17676 | −0.100300 | ||||||||
\(472\) | 15.5142 | 0.714097 | ||||||||
\(473\) | −3.65886 | −0.168234 | ||||||||
\(474\) | 3.80233 | 0.174647 | ||||||||
\(475\) | 26.5560 | 1.21847 | ||||||||
\(476\) | 164.283 | 7.52991 | ||||||||
\(477\) | 20.3238 | 0.930565 | ||||||||
\(478\) | 51.8982 | 2.37377 | ||||||||
\(479\) | 18.3110 | 0.836650 | 0.418325 | − | 0.908297i | \(-0.362617\pi\) | ||||
0.418325 | + | 0.908297i | \(0.362617\pi\) | |||||||
\(480\) | −1.18213 | −0.0539565 | ||||||||
\(481\) | 6.52033 | 0.297302 | ||||||||
\(482\) | −52.2937 | −2.38191 | ||||||||
\(483\) | −0.761251 | −0.0346381 | ||||||||
\(484\) | −54.9233 | −2.49651 | ||||||||
\(485\) | −8.53431 | −0.387523 | ||||||||
\(486\) | −7.84506 | −0.355859 | ||||||||
\(487\) | 1.48411 | 0.0672513 | 0.0336257 | − | 0.999434i | \(-0.489295\pi\) | ||||
0.0336257 | + | 0.999434i | \(0.489295\pi\) | |||||||
\(488\) | 95.3892 | 4.31806 | ||||||||
\(489\) | 1.90315 | 0.0860636 | ||||||||
\(490\) | −17.8107 | −0.804604 | ||||||||
\(491\) | 7.06142 | 0.318677 | 0.159339 | − | 0.987224i | \(-0.449064\pi\) | ||||
0.159339 | + | 0.987224i | \(0.449064\pi\) | |||||||
\(492\) | −6.25110 | −0.281821 | ||||||||
\(493\) | 44.9219 | 2.02318 | ||||||||
\(494\) | 42.0813 | 1.89333 | ||||||||
\(495\) | −0.864624 | −0.0388620 | ||||||||
\(496\) | −124.804 | −5.60385 | ||||||||
\(497\) | 14.5106 | 0.650891 | ||||||||
\(498\) | 1.19919 | 0.0537369 | ||||||||
\(499\) | 39.4725 | 1.76703 | 0.883516 | − | 0.468401i | \(-0.155170\pi\) | ||||
0.883516 | + | 0.468401i | \(0.155170\pi\) | |||||||
\(500\) | −35.9784 | −1.60900 | ||||||||
\(501\) | 0.308670 | 0.0137903 | ||||||||
\(502\) | −46.8770 | −2.09222 | ||||||||
\(503\) | −3.32698 | −0.148343 | −0.0741714 | − | 0.997246i | \(-0.523631\pi\) | ||||
−0.0741714 | + | 0.997246i | \(0.523631\pi\) | |||||||
\(504\) | 96.8803 | 4.31539 | ||||||||
\(505\) | −10.7777 | −0.479603 | ||||||||
\(506\) | 1.77197 | 0.0787735 | ||||||||
\(507\) | −0.661260 | −0.0293676 | ||||||||
\(508\) | 50.4045 | 2.23634 | ||||||||
\(509\) | −42.1004 | −1.86607 | −0.933033 | − | 0.359791i | \(-0.882848\pi\) | ||||
−0.933033 | + | 0.359791i | \(0.882848\pi\) | |||||||
\(510\) | −1.79293 | −0.0793922 | ||||||||
\(511\) | 17.4724 | 0.772935 | ||||||||
\(512\) | 22.9890 | 1.01598 | ||||||||
\(513\) | 3.94450 | 0.174154 | ||||||||
\(514\) | −23.0371 | −1.01612 | ||||||||
\(515\) | 8.44024 | 0.371921 | ||||||||
\(516\) | −5.30238 | −0.233424 | ||||||||
\(517\) | 3.72940 | 0.164019 | ||||||||
\(518\) | −26.1343 | −1.14828 | ||||||||
\(519\) | 0.879059 | 0.0385864 | ||||||||
\(520\) | −16.2023 | −0.710516 | ||||||||
\(521\) | −22.4586 | −0.983929 | −0.491965 | − | 0.870615i | \(-0.663721\pi\) | ||||
−0.491965 | + | 0.870615i | \(0.663721\pi\) | |||||||
\(522\) | 43.8008 | 1.91711 | ||||||||
\(523\) | 26.6651 | 1.16599 | 0.582993 | − | 0.812477i | \(-0.301882\pi\) | ||||
0.582993 | + | 0.812477i | \(0.301882\pi\) | |||||||
\(524\) | −84.4546 | −3.68941 | ||||||||
\(525\) | −1.94235 | −0.0847710 | ||||||||
\(526\) | −16.8972 | −0.736754 | ||||||||
\(527\) | −88.4429 | −3.85263 | ||||||||
\(528\) | 0.484971 | 0.0211057 | ||||||||
\(529\) | −19.9830 | −0.868825 | ||||||||
\(530\) | 13.6235 | 0.591765 | ||||||||
\(531\) | 5.69937 | 0.247332 | ||||||||
\(532\) | −120.892 | −5.24132 | ||||||||
\(533\) | −29.6946 | −1.28622 | ||||||||
\(534\) | 0.525744 | 0.0227512 | ||||||||
\(535\) | 10.6339 | 0.459744 | ||||||||
\(536\) | 50.9397 | 2.20026 | ||||||||
\(537\) | 1.69529 | 0.0731571 | ||||||||
\(538\) | −17.1567 | −0.739679 | ||||||||
\(539\) | 3.41404 | 0.147053 | ||||||||
\(540\) | −2.51108 | −0.108060 | ||||||||
\(541\) | 31.6347 | 1.36008 | 0.680040 | − | 0.733175i | \(-0.261962\pi\) | ||||
0.680040 | + | 0.733175i | \(0.261962\pi\) | |||||||
\(542\) | 14.8621 | 0.638382 | ||||||||
\(543\) | −0.705967 | −0.0302959 | ||||||||
\(544\) | −116.165 | −4.98052 | ||||||||
\(545\) | 1.75921 | 0.0753564 | ||||||||
\(546\) | −3.07789 | −0.131721 | ||||||||
\(547\) | 10.7409 | 0.459248 | 0.229624 | − | 0.973279i | \(-0.426250\pi\) | ||||
0.229624 | + | 0.973279i | \(0.426250\pi\) | |||||||
\(548\) | −105.856 | −4.52195 | ||||||||
\(549\) | 35.0427 | 1.49559 | ||||||||
\(550\) | 4.52120 | 0.192785 | ||||||||
\(551\) | −33.0568 | −1.40827 | ||||||||
\(552\) | 1.55310 | 0.0661043 | ||||||||
\(553\) | −51.8893 | −2.20656 | ||||||||
\(554\) | −48.8271 | −2.07447 | ||||||||
\(555\) | 0.204431 | 0.00867762 | ||||||||
\(556\) | −7.25987 | −0.307887 | ||||||||
\(557\) | −17.0507 | −0.722461 | −0.361230 | − | 0.932477i | \(-0.617643\pi\) | ||||
−0.361230 | + | 0.932477i | \(0.617643\pi\) | |||||||
\(558\) | −86.2357 | −3.65065 | ||||||||
\(559\) | −25.1879 | −1.06534 | ||||||||
\(560\) | 34.5268 | 1.45902 | ||||||||
\(561\) | 0.343678 | 0.0145101 | ||||||||
\(562\) | −26.7985 | −1.13043 | ||||||||
\(563\) | −36.3197 | −1.53069 | −0.765345 | − | 0.643620i | \(-0.777432\pi\) | ||||
−0.765345 | + | 0.643620i | \(0.777432\pi\) | |||||||
\(564\) | 5.40461 | 0.227575 | ||||||||
\(565\) | −9.03742 | −0.380207 | ||||||||
\(566\) | −36.5948 | −1.53819 | ||||||||
\(567\) | 35.4460 | 1.48859 | ||||||||
\(568\) | −29.6045 | −1.24218 | ||||||||
\(569\) | −2.42060 | −0.101477 | −0.0507384 | − | 0.998712i | \(-0.516157\pi\) | ||||
−0.0507384 | + | 0.998712i | \(0.516157\pi\) | |||||||
\(570\) | 1.31937 | 0.0552623 | ||||||||
\(571\) | 33.6527 | 1.40832 | 0.704161 | − | 0.710040i | \(-0.251323\pi\) | ||||
0.704161 | + | 0.710040i | \(0.251323\pi\) | |||||||
\(572\) | 5.13507 | 0.214708 | ||||||||
\(573\) | 0.928195 | 0.0387759 | ||||||||
\(574\) | 119.020 | 4.96779 | ||||||||
\(575\) | 7.69797 | 0.321028 | ||||||||
\(576\) | −44.6007 | −1.85836 | ||||||||
\(577\) | −0.640483 | −0.0266637 | −0.0133318 | − | 0.999911i | \(-0.504244\pi\) | ||||
−0.0133318 | + | 0.999911i | \(0.504244\pi\) | |||||||
\(578\) | −131.014 | −5.44946 | ||||||||
\(579\) | −2.34089 | −0.0972841 | ||||||||
\(580\) | 21.0441 | 0.873807 | ||||||||
\(581\) | −16.3650 | −0.678934 | ||||||||
\(582\) | 3.30763 | 0.137106 | ||||||||
\(583\) | −2.61142 | −0.108154 | ||||||||
\(584\) | −35.6471 | −1.47509 | ||||||||
\(585\) | −5.95216 | −0.246091 | ||||||||
\(586\) | −10.0690 | −0.415948 | ||||||||
\(587\) | −5.56835 | −0.229831 | −0.114915 | − | 0.993375i | \(-0.536660\pi\) | ||||
−0.114915 | + | 0.993375i | \(0.536660\pi\) | |||||||
\(588\) | 4.94760 | 0.204036 | ||||||||
\(589\) | 65.0828 | 2.68169 | ||||||||
\(590\) | 3.82040 | 0.157283 | ||||||||
\(591\) | 1.33760 | 0.0550214 | ||||||||
\(592\) | 28.3479 | 1.16509 | ||||||||
\(593\) | −19.6020 | −0.804957 | −0.402479 | − | 0.915429i | \(-0.631851\pi\) | ||||
−0.402479 | + | 0.915429i | \(0.631851\pi\) | |||||||
\(594\) | 0.671558 | 0.0275543 | ||||||||
\(595\) | 24.4676 | 1.00307 | ||||||||
\(596\) | −33.4147 | −1.36872 | ||||||||
\(597\) | 0.304385 | 0.0124577 | ||||||||
\(598\) | 12.1984 | 0.498829 | ||||||||
\(599\) | 18.3350 | 0.749147 | 0.374574 | − | 0.927197i | \(-0.377789\pi\) | ||||
0.374574 | + | 0.927197i | \(0.377789\pi\) | |||||||
\(600\) | 3.96276 | 0.161779 | ||||||||
\(601\) | 15.5256 | 0.633302 | 0.316651 | − | 0.948542i | \(-0.397442\pi\) | ||||
0.316651 | + | 0.948542i | \(0.397442\pi\) | |||||||
\(602\) | 100.956 | 4.11467 | ||||||||
\(603\) | 18.7135 | 0.762073 | ||||||||
\(604\) | −99.2306 | −4.03764 | ||||||||
\(605\) | −8.18004 | −0.332566 | ||||||||
\(606\) | 4.17711 | 0.169684 | ||||||||
\(607\) | −10.6175 | −0.430953 | −0.215476 | − | 0.976509i | \(-0.569130\pi\) | ||||
−0.215476 | + | 0.976509i | \(0.569130\pi\) | |||||||
\(608\) | 85.4825 | 3.46677 | ||||||||
\(609\) | 2.41783 | 0.0979752 | ||||||||
\(610\) | 23.4898 | 0.951074 | ||||||||
\(611\) | 25.6735 | 1.03864 | ||||||||
\(612\) | −123.130 | −4.97723 | ||||||||
\(613\) | 28.0835 | 1.13428 | 0.567141 | − | 0.823621i | \(-0.308050\pi\) | ||||
0.567141 | + | 0.823621i | \(0.308050\pi\) | |||||||
\(614\) | −23.2360 | −0.937727 | ||||||||
\(615\) | −0.931011 | −0.0375420 | ||||||||
\(616\) | −12.4482 | −0.501551 | ||||||||
\(617\) | 39.4781 | 1.58933 | 0.794665 | − | 0.607049i | \(-0.207647\pi\) | ||||
0.794665 | + | 0.607049i | \(0.207647\pi\) | |||||||
\(618\) | −3.27117 | −0.131586 | ||||||||
\(619\) | −7.02842 | −0.282496 | −0.141248 | − | 0.989974i | \(-0.545112\pi\) | ||||
−0.141248 | + | 0.989974i | \(0.545112\pi\) | |||||||
\(620\) | −41.4319 | −1.66394 | ||||||||
\(621\) | 1.14342 | 0.0458838 | ||||||||
\(622\) | −8.62969 | −0.346019 | ||||||||
\(623\) | −7.17469 | −0.287448 | ||||||||
\(624\) | 3.33859 | 0.133651 | ||||||||
\(625\) | 16.8009 | 0.672037 | ||||||||
\(626\) | −26.4734 | −1.05809 | ||||||||
\(627\) | −0.252904 | −0.0101000 | ||||||||
\(628\) | −100.206 | −3.99864 | ||||||||
\(629\) | 20.0889 | 0.800999 | ||||||||
\(630\) | 23.8570 | 0.950485 | ||||||||
\(631\) | −31.8567 | −1.26820 | −0.634098 | − | 0.773252i | \(-0.718629\pi\) | ||||
−0.634098 | + | 0.773252i | \(0.718629\pi\) | |||||||
\(632\) | 105.864 | 4.21105 | ||||||||
\(633\) | −1.61147 | −0.0640503 | ||||||||
\(634\) | −45.5774 | −1.81011 | ||||||||
\(635\) | 7.50702 | 0.297907 | ||||||||
\(636\) | −3.78444 | −0.150063 | ||||||||
\(637\) | 23.5026 | 0.931207 | ||||||||
\(638\) | −5.62797 | −0.222814 | ||||||||
\(639\) | −10.8757 | −0.430235 | ||||||||
\(640\) | −8.39103 | −0.331684 | ||||||||
\(641\) | −38.0304 | −1.50211 | −0.751055 | − | 0.660240i | \(-0.770455\pi\) | ||||
−0.751055 | + | 0.660240i | \(0.770455\pi\) | |||||||
\(642\) | −4.12137 | −0.162657 | ||||||||
\(643\) | −30.0898 | −1.18662 | −0.593312 | − | 0.804973i | \(-0.702180\pi\) | ||||
−0.593312 | + | 0.804973i | \(0.702180\pi\) | |||||||
\(644\) | −35.0437 | −1.38091 | ||||||||
\(645\) | −0.789713 | −0.0310949 | ||||||||
\(646\) | 129.651 | 5.10106 | ||||||||
\(647\) | −23.8488 | −0.937593 | −0.468796 | − | 0.883306i | \(-0.655312\pi\) | ||||
−0.468796 | + | 0.883306i | \(0.655312\pi\) | |||||||
\(648\) | −72.3166 | −2.84086 | ||||||||
\(649\) | −0.732314 | −0.0287458 | ||||||||
\(650\) | 31.1244 | 1.22080 | ||||||||
\(651\) | −4.76025 | −0.186569 | ||||||||
\(652\) | 87.6104 | 3.43109 | ||||||||
\(653\) | 26.3396 | 1.03075 | 0.515374 | − | 0.856965i | \(-0.327653\pi\) | ||||
0.515374 | + | 0.856965i | \(0.327653\pi\) | |||||||
\(654\) | −0.681815 | −0.0266611 | ||||||||
\(655\) | −12.5783 | −0.491474 | ||||||||
\(656\) | −129.101 | −5.04054 | ||||||||
\(657\) | −13.0955 | −0.510906 | ||||||||
\(658\) | −102.903 | −4.01157 | ||||||||
\(659\) | −25.9335 | −1.01023 | −0.505113 | − | 0.863053i | \(-0.668549\pi\) | ||||
−0.505113 | + | 0.863053i | \(0.668549\pi\) | |||||||
\(660\) | 0.160999 | 0.00626688 | ||||||||
\(661\) | −8.14032 | −0.316622 | −0.158311 | − | 0.987389i | \(-0.550605\pi\) | ||||
−0.158311 | + | 0.987389i | \(0.550605\pi\) | |||||||
\(662\) | 85.0204 | 3.30441 | ||||||||
\(663\) | 2.36591 | 0.0918845 | ||||||||
\(664\) | 33.3877 | 1.29569 | ||||||||
\(665\) | −18.0051 | −0.698207 | ||||||||
\(666\) | 19.5876 | 0.759004 | ||||||||
\(667\) | −9.58240 | −0.371032 | ||||||||
\(668\) | 14.2094 | 0.549778 | ||||||||
\(669\) | 1.27132 | 0.0491519 | ||||||||
\(670\) | 12.5440 | 0.484618 | ||||||||
\(671\) | −4.50265 | −0.173823 | ||||||||
\(672\) | −6.25232 | −0.241188 | ||||||||
\(673\) | −45.6503 | −1.75969 | −0.879845 | − | 0.475261i | \(-0.842354\pi\) | ||||
−0.879845 | + | 0.475261i | \(0.842354\pi\) | |||||||
\(674\) | 63.3314 | 2.43943 | ||||||||
\(675\) | 2.91746 | 0.112293 | ||||||||
\(676\) | −30.4406 | −1.17079 | ||||||||
\(677\) | −25.6800 | −0.986964 | −0.493482 | − | 0.869756i | \(-0.664276\pi\) | ||||
−0.493482 | + | 0.869756i | \(0.664276\pi\) | |||||||
\(678\) | 3.50262 | 0.134517 | ||||||||
\(679\) | −45.1383 | −1.73225 | ||||||||
\(680\) | −49.9186 | −1.91429 | ||||||||
\(681\) | −1.25189 | −0.0479724 | ||||||||
\(682\) | 11.0804 | 0.424292 | ||||||||
\(683\) | 4.08897 | 0.156460 | 0.0782300 | − | 0.996935i | \(-0.475073\pi\) | ||||
0.0782300 | + | 0.996935i | \(0.475073\pi\) | |||||||
\(684\) | 90.6080 | 3.46448 | ||||||||
\(685\) | −15.7657 | −0.602378 | ||||||||
\(686\) | −20.0491 | −0.765478 | ||||||||
\(687\) | 1.95769 | 0.0746906 | ||||||||
\(688\) | −109.507 | −4.17493 | ||||||||
\(689\) | −17.9772 | −0.684878 | ||||||||
\(690\) | 0.382454 | 0.0145598 | ||||||||
\(691\) | 12.6631 | 0.481728 | 0.240864 | − | 0.970559i | \(-0.422569\pi\) | ||||
0.240864 | + | 0.970559i | \(0.422569\pi\) | |||||||
\(692\) | 40.4668 | 1.53832 | ||||||||
\(693\) | −4.57303 | −0.173715 | ||||||||
\(694\) | −36.1933 | −1.37388 | ||||||||
\(695\) | −1.08125 | −0.0410143 | ||||||||
\(696\) | −4.93283 | −0.186978 | ||||||||
\(697\) | −91.4882 | −3.46536 | ||||||||
\(698\) | −0.793898 | −0.0300495 | ||||||||
\(699\) | 1.91033 | 0.0722553 | ||||||||
\(700\) | −89.4146 | −3.37955 | ||||||||
\(701\) | −39.6328 | −1.49691 | −0.748455 | − | 0.663185i | \(-0.769204\pi\) | ||||
−0.748455 | + | 0.663185i | \(0.769204\pi\) | |||||||
\(702\) | 4.62307 | 0.174486 | ||||||||
\(703\) | −14.7829 | −0.557548 | ||||||||
\(704\) | 5.73075 | 0.215986 | ||||||||
\(705\) | 0.804939 | 0.0303158 | ||||||||
\(706\) | 12.9309 | 0.486662 | ||||||||
\(707\) | −57.0039 | −2.14385 | ||||||||
\(708\) | −1.06126 | −0.0398847 | ||||||||
\(709\) | −35.5949 | −1.33679 | −0.668397 | − | 0.743804i | \(-0.733019\pi\) | ||||
−0.668397 | + | 0.743804i | \(0.733019\pi\) | |||||||
\(710\) | −7.29018 | −0.273595 | ||||||||
\(711\) | 38.8909 | 1.45852 | ||||||||
\(712\) | 14.6377 | 0.548573 | ||||||||
\(713\) | 18.8660 | 0.706537 | ||||||||
\(714\) | −9.48287 | −0.354888 | ||||||||
\(715\) | 0.764794 | 0.0286017 | ||||||||
\(716\) | 78.0414 | 2.91654 | ||||||||
\(717\) | −2.14716 | −0.0801873 | ||||||||
\(718\) | 4.93540 | 0.184188 | ||||||||
\(719\) | −17.3147 | −0.645731 | −0.322866 | − | 0.946445i | \(-0.604646\pi\) | ||||
−0.322866 | + | 0.946445i | \(0.604646\pi\) | |||||||
\(720\) | −25.8777 | −0.964405 | ||||||||
\(721\) | 44.6408 | 1.66251 | ||||||||
\(722\) | −44.9196 | −1.67173 | ||||||||
\(723\) | 2.16353 | 0.0804625 | ||||||||
\(724\) | −32.4987 | −1.20780 | ||||||||
\(725\) | −24.4497 | −0.908039 | ||||||||
\(726\) | 3.17032 | 0.117662 | ||||||||
\(727\) | 33.3354 | 1.23634 | 0.618170 | − | 0.786044i | \(-0.287874\pi\) | ||||
0.618170 | + | 0.786044i | \(0.287874\pi\) | |||||||
\(728\) | −85.6944 | −3.17605 | ||||||||
\(729\) | −26.3495 | −0.975909 | ||||||||
\(730\) | −8.77819 | −0.324895 | ||||||||
\(731\) | −77.6032 | −2.87026 | ||||||||
\(732\) | −6.52520 | −0.241178 | ||||||||
\(733\) | −46.6450 | −1.72287 | −0.861436 | − | 0.507866i | \(-0.830435\pi\) | ||||
−0.861436 | + | 0.507866i | \(0.830435\pi\) | |||||||
\(734\) | −52.9153 | −1.95314 | ||||||||
\(735\) | 0.736874 | 0.0271800 | ||||||||
\(736\) | 24.7794 | 0.913380 | ||||||||
\(737\) | −2.40450 | −0.0885711 | ||||||||
\(738\) | −89.2049 | −3.28368 | ||||||||
\(739\) | 1.85287 | 0.0681589 | 0.0340795 | − | 0.999419i | \(-0.489150\pi\) | ||||
0.0340795 | + | 0.999419i | \(0.489150\pi\) | |||||||
\(740\) | 9.41085 | 0.345950 | ||||||||
\(741\) | −1.74101 | −0.0639577 | ||||||||
\(742\) | 72.0550 | 2.64522 | ||||||||
\(743\) | −4.21611 | −0.154674 | −0.0773370 | − | 0.997005i | \(-0.524642\pi\) | ||||
−0.0773370 | + | 0.997005i | \(0.524642\pi\) | |||||||
\(744\) | 9.71183 | 0.356053 | ||||||||
\(745\) | −4.97664 | −0.182330 | ||||||||
\(746\) | 50.6542 | 1.85458 | ||||||||
\(747\) | 12.2655 | 0.448772 | ||||||||
\(748\) | 15.8210 | 0.578472 | ||||||||
\(749\) | 56.2432 | 2.05508 | ||||||||
\(750\) | 2.07677 | 0.0758330 | ||||||||
\(751\) | −14.8585 | −0.542195 | −0.271097 | − | 0.962552i | \(-0.587387\pi\) | ||||
−0.271097 | + | 0.962552i | \(0.587387\pi\) | |||||||
\(752\) | 111.619 | 4.07032 | ||||||||
\(753\) | 1.93943 | 0.0706766 | ||||||||
\(754\) | −38.7435 | −1.41096 | ||||||||
\(755\) | −14.7790 | −0.537862 | ||||||||
\(756\) | −13.2812 | −0.483033 | ||||||||
\(757\) | −24.4764 | −0.889610 | −0.444805 | − | 0.895627i | \(-0.646727\pi\) | ||||
−0.444805 | + | 0.895627i | \(0.646727\pi\) | |||||||
\(758\) | −19.0884 | −0.693323 | ||||||||
\(759\) | −0.0733108 | −0.00266102 | ||||||||
\(760\) | 36.7338 | 1.33248 | ||||||||
\(761\) | 38.1800 | 1.38402 | 0.692012 | − | 0.721886i | \(-0.256725\pi\) | ||||
0.692012 | + | 0.721886i | \(0.256725\pi\) | |||||||
\(762\) | −2.90948 | −0.105399 | ||||||||
\(763\) | 9.30454 | 0.336847 | ||||||||
\(764\) | 42.7288 | 1.54587 | ||||||||
\(765\) | −18.3384 | −0.663027 | ||||||||
\(766\) | 53.4668 | 1.93183 | ||||||||
\(767\) | −5.04132 | −0.182031 | ||||||||
\(768\) | −0.0299515 | −0.00108078 | ||||||||
\(769\) | −47.9659 | −1.72969 | −0.864847 | − | 0.502035i | \(-0.832585\pi\) | ||||
−0.864847 | + | 0.502035i | \(0.832585\pi\) | |||||||
\(770\) | −3.06539 | −0.110469 | ||||||||
\(771\) | 0.953106 | 0.0343253 | ||||||||
\(772\) | −107.761 | −3.87841 | ||||||||
\(773\) | 22.4050 | 0.805852 | 0.402926 | − | 0.915233i | \(-0.367993\pi\) | ||||
0.402926 | + | 0.915233i | \(0.367993\pi\) | |||||||
\(774\) | −75.6665 | −2.71977 | ||||||||
\(775\) | 48.1369 | 1.72913 | ||||||||
\(776\) | 92.0908 | 3.30587 | ||||||||
\(777\) | 1.08124 | 0.0387894 | ||||||||
\(778\) | 14.5510 | 0.521679 | ||||||||
\(779\) | 67.3237 | 2.41212 | ||||||||
\(780\) | 1.10833 | 0.0396847 | ||||||||
\(781\) | 1.39742 | 0.0500036 | ||||||||
\(782\) | 37.5828 | 1.34396 | ||||||||
\(783\) | −3.63164 | −0.129784 | ||||||||
\(784\) | 102.180 | 3.64930 | ||||||||
\(785\) | −14.9242 | −0.532666 | ||||||||
\(786\) | 4.87495 | 0.173884 | ||||||||
\(787\) | 9.22688 | 0.328903 | 0.164451 | − | 0.986385i | \(-0.447415\pi\) | ||||
0.164451 | + | 0.986385i | \(0.447415\pi\) | |||||||
\(788\) | 61.5754 | 2.19353 | ||||||||
\(789\) | 0.699082 | 0.0248880 | ||||||||
\(790\) | 26.0693 | 0.927504 | ||||||||
\(791\) | −47.7993 | −1.69955 | ||||||||
\(792\) | 9.32987 | 0.331522 | ||||||||
\(793\) | −30.9967 | −1.10072 | ||||||||
\(794\) | 55.9523 | 1.98567 | ||||||||
\(795\) | −0.563638 | −0.0199902 | ||||||||
\(796\) | 14.0122 | 0.496648 | ||||||||
\(797\) | 25.7836 | 0.913303 | 0.456652 | − | 0.889646i | \(-0.349049\pi\) | ||||
0.456652 | + | 0.889646i | \(0.349049\pi\) | |||||||
\(798\) | 6.97820 | 0.247025 | ||||||||
\(799\) | 79.0994 | 2.79834 | ||||||||
\(800\) | 63.2251 | 2.23534 | ||||||||
\(801\) | 5.37741 | 0.190001 | ||||||||
\(802\) | −7.52654 | −0.265772 | ||||||||
\(803\) | 1.68265 | 0.0593794 | ||||||||
\(804\) | −3.48459 | −0.122892 | ||||||||
\(805\) | −5.21925 | −0.183954 | ||||||||
\(806\) | 76.2789 | 2.68681 | ||||||||
\(807\) | 0.709819 | 0.0249868 | ||||||||
\(808\) | 116.299 | 4.09138 | ||||||||
\(809\) | 19.3004 | 0.678564 | 0.339282 | − | 0.940685i | \(-0.389816\pi\) | ||||
0.339282 | + | 0.940685i | \(0.389816\pi\) | |||||||
\(810\) | −17.8081 | −0.625714 | ||||||||
\(811\) | 7.77316 | 0.272953 | 0.136476 | − | 0.990643i | \(-0.456422\pi\) | ||||
0.136476 | + | 0.990643i | \(0.456422\pi\) | |||||||
\(812\) | 111.303 | 3.90597 | ||||||||
\(813\) | −0.614884 | −0.0215649 | ||||||||
\(814\) | −2.51681 | −0.0882143 | ||||||||
\(815\) | 13.0483 | 0.457062 | ||||||||
\(816\) | 10.2861 | 0.360085 | ||||||||
\(817\) | 57.1061 | 1.99789 | ||||||||
\(818\) | −1.28874 | −0.0450598 | ||||||||
\(819\) | −31.4812 | −1.10004 | ||||||||
\(820\) | −42.8585 | −1.49668 | ||||||||
\(821\) | 4.82228 | 0.168299 | 0.0841494 | − | 0.996453i | \(-0.473183\pi\) | ||||
0.0841494 | + | 0.996453i | \(0.473183\pi\) | |||||||
\(822\) | 6.11030 | 0.213121 | ||||||||
\(823\) | −31.0432 | −1.08210 | −0.541048 | − | 0.840991i | \(-0.681972\pi\) | ||||
−0.541048 | + | 0.840991i | \(0.681972\pi\) | |||||||
\(824\) | −91.0757 | −3.17277 | ||||||||
\(825\) | −0.187054 | −0.00651239 | ||||||||
\(826\) | 20.2062 | 0.703065 | ||||||||
\(827\) | 38.3255 | 1.33271 | 0.666354 | − | 0.745636i | \(-0.267854\pi\) | ||||
0.666354 | + | 0.745636i | \(0.267854\pi\) | |||||||
\(828\) | 26.2651 | 0.912776 | ||||||||
\(829\) | −13.5111 | −0.469261 | −0.234631 | − | 0.972085i | \(-0.575388\pi\) | ||||
−0.234631 | + | 0.972085i | \(0.575388\pi\) | |||||||
\(830\) | 8.22180 | 0.285383 | ||||||||
\(831\) | 2.02011 | 0.0700767 | ||||||||
\(832\) | 39.4511 | 1.36772 | ||||||||
\(833\) | 72.4108 | 2.50889 | ||||||||
\(834\) | 0.419059 | 0.0145108 | ||||||||
\(835\) | 2.11628 | 0.0732370 | ||||||||
\(836\) | −11.6422 | −0.402655 | ||||||||
\(837\) | 7.15003 | 0.247141 | ||||||||
\(838\) | −98.3590 | −3.39775 | ||||||||
\(839\) | −19.9246 | −0.687872 | −0.343936 | − | 0.938993i | \(-0.611760\pi\) | ||||
−0.343936 | + | 0.938993i | \(0.611760\pi\) | |||||||
\(840\) | −2.68676 | −0.0927022 | ||||||||
\(841\) | 1.43486 | 0.0494778 | ||||||||
\(842\) | −47.2043 | −1.62677 | ||||||||
\(843\) | 1.10872 | 0.0381865 | ||||||||
\(844\) | −74.1830 | −2.55348 | ||||||||
\(845\) | −4.53369 | −0.155964 | ||||||||
\(846\) | 77.1253 | 2.65162 | ||||||||
\(847\) | −43.2645 | −1.48659 | ||||||||
\(848\) | −78.1581 | −2.68396 | ||||||||
\(849\) | 1.51402 | 0.0519611 | ||||||||
\(850\) | 95.8933 | 3.28911 | ||||||||
\(851\) | −4.28522 | −0.146896 | ||||||||
\(852\) | 2.02513 | 0.0693798 | ||||||||
\(853\) | 47.2304 | 1.61714 | 0.808569 | − | 0.588401i | \(-0.200242\pi\) | ||||
0.808569 | + | 0.588401i | \(0.200242\pi\) | |||||||
\(854\) | 124.239 | 4.25135 | ||||||||
\(855\) | 13.4948 | 0.461511 | ||||||||
\(856\) | −114.747 | −3.92197 | ||||||||
\(857\) | −11.4042 | −0.389561 | −0.194780 | − | 0.980847i | \(-0.562399\pi\) | ||||
−0.194780 | + | 0.980847i | \(0.562399\pi\) | |||||||
\(858\) | −0.296410 | −0.0101193 | ||||||||
\(859\) | 0.357189 | 0.0121871 | 0.00609356 | − | 0.999981i | \(-0.498060\pi\) | ||||
0.00609356 | + | 0.999981i | \(0.498060\pi\) | |||||||
\(860\) | −36.3539 | −1.23966 | ||||||||
\(861\) | −4.92416 | −0.167815 | ||||||||
\(862\) | 78.1852 | 2.66300 | ||||||||
\(863\) | 21.2027 | 0.721750 | 0.360875 | − | 0.932614i | \(-0.382478\pi\) | ||||
0.360875 | + | 0.932614i | \(0.382478\pi\) | |||||||
\(864\) | 9.39114 | 0.319493 | ||||||||
\(865\) | 6.02695 | 0.204923 | ||||||||
\(866\) | −49.2155 | −1.67241 | ||||||||
\(867\) | 5.42039 | 0.184086 | ||||||||
\(868\) | −219.135 | −7.43792 | ||||||||
\(869\) | −4.99710 | −0.169515 | ||||||||
\(870\) | −1.21472 | −0.0411829 | ||||||||
\(871\) | −16.5528 | −0.560872 | ||||||||
\(872\) | −18.9831 | −0.642847 | ||||||||
\(873\) | 33.8310 | 1.14501 | ||||||||
\(874\) | −27.6562 | −0.935485 | ||||||||
\(875\) | −28.3411 | −0.958106 | ||||||||
\(876\) | 2.43848 | 0.0823886 | ||||||||
\(877\) | −57.1829 | −1.93093 | −0.965464 | − | 0.260537i | \(-0.916100\pi\) | ||||
−0.965464 | + | 0.260537i | \(0.916100\pi\) | |||||||
\(878\) | −46.7467 | −1.57762 | ||||||||
\(879\) | 0.416582 | 0.0140510 | ||||||||
\(880\) | 3.32503 | 0.112087 | ||||||||
\(881\) | 33.6427 | 1.13345 | 0.566726 | − | 0.823906i | \(-0.308210\pi\) | ||||
0.566726 | + | 0.823906i | \(0.308210\pi\) | |||||||
\(882\) | 70.6037 | 2.37735 | ||||||||
\(883\) | −19.8361 | −0.667538 | −0.333769 | − | 0.942655i | \(-0.608321\pi\) | ||||
−0.333769 | + | 0.942655i | \(0.608321\pi\) | |||||||
\(884\) | 108.913 | 3.66315 | ||||||||
\(885\) | −0.158060 | −0.00531312 | ||||||||
\(886\) | −18.9439 | −0.636434 | ||||||||
\(887\) | 18.1013 | 0.607782 | 0.303891 | − | 0.952707i | \(-0.401714\pi\) | ||||
0.303891 | + | 0.952707i | \(0.401714\pi\) | |||||||
\(888\) | −2.20595 | −0.0740267 | ||||||||
\(889\) | 39.7049 | 1.33166 | ||||||||
\(890\) | 3.60458 | 0.120826 | ||||||||
\(891\) | 3.41356 | 0.114358 | ||||||||
\(892\) | 58.5241 | 1.95953 | ||||||||
\(893\) | −58.2071 | −1.94783 | ||||||||
\(894\) | 1.92879 | 0.0645084 | ||||||||
\(895\) | 11.6231 | 0.388519 | ||||||||
\(896\) | −44.3805 | −1.48265 | ||||||||
\(897\) | −0.504679 | −0.0168507 | ||||||||
\(898\) | 3.19488 | 0.106615 | ||||||||
\(899\) | −59.9206 | −1.99846 | ||||||||
\(900\) | 67.0160 | 2.23387 | ||||||||
\(901\) | −55.3873 | −1.84522 | ||||||||
\(902\) | 11.4620 | 0.381642 | ||||||||
\(903\) | −4.17683 | −0.138996 | ||||||||
\(904\) | 97.5197 | 3.24346 | ||||||||
\(905\) | −4.84021 | −0.160894 | ||||||||
\(906\) | 5.72786 | 0.190295 | ||||||||
\(907\) | −19.0079 | −0.631148 | −0.315574 | − | 0.948901i | \(-0.602197\pi\) | ||||
−0.315574 | + | 0.948901i | \(0.602197\pi\) | |||||||
\(908\) | −57.6298 | −1.91251 | ||||||||
\(909\) | 42.7243 | 1.41707 | ||||||||
\(910\) | −21.1024 | −0.699539 | ||||||||
\(911\) | 0.969427 | 0.0321185 | 0.0160593 | − | 0.999871i | \(-0.494888\pi\) | ||||
0.0160593 | + | 0.999871i | \(0.494888\pi\) | |||||||
\(912\) | −7.56926 | −0.250643 | ||||||||
\(913\) | −1.57600 | −0.0521580 | ||||||||
\(914\) | 34.3138 | 1.13500 | ||||||||
\(915\) | −0.971835 | −0.0321279 | ||||||||
\(916\) | 90.1210 | 2.97768 | ||||||||
\(917\) | −66.5271 | −2.19692 | ||||||||
\(918\) | 14.2435 | 0.470106 | ||||||||
\(919\) | 21.5416 | 0.710593 | 0.355296 | − | 0.934754i | \(-0.384380\pi\) | ||||
0.355296 | + | 0.934754i | \(0.384380\pi\) | |||||||
\(920\) | 10.6483 | 0.351063 | ||||||||
\(921\) | 0.961332 | 0.0316770 | ||||||||
\(922\) | −81.5686 | −2.68632 | ||||||||
\(923\) | 9.61997 | 0.316645 | ||||||||
\(924\) | 0.851531 | 0.0280133 | ||||||||
\(925\) | −10.9338 | −0.359502 | ||||||||
\(926\) | −90.4525 | −2.97245 | ||||||||
\(927\) | −33.4581 | −1.09891 | ||||||||
\(928\) | −78.7023 | −2.58353 | ||||||||
\(929\) | 37.2927 | 1.22353 | 0.611767 | − | 0.791038i | \(-0.290459\pi\) | ||||
0.611767 | + | 0.791038i | \(0.290459\pi\) | |||||||
\(930\) | 2.39156 | 0.0784224 | ||||||||
\(931\) | −53.2852 | −1.74635 | ||||||||
\(932\) | 87.9407 | 2.88059 | ||||||||
\(933\) | 0.357033 | 0.0116887 | ||||||||
\(934\) | 68.2822 | 2.23426 | ||||||||
\(935\) | 2.35631 | 0.0770595 | ||||||||
\(936\) | 64.2277 | 2.09935 | ||||||||
\(937\) | −39.3489 | −1.28547 | −0.642737 | − | 0.766087i | \(-0.722201\pi\) | ||||
−0.642737 | + | 0.766087i | \(0.722201\pi\) | |||||||
\(938\) | 66.3458 | 2.16627 | ||||||||
\(939\) | 1.09528 | 0.0357430 | ||||||||
\(940\) | 37.0548 | 1.20859 | ||||||||
\(941\) | −3.93865 | −0.128396 | −0.0641982 | − | 0.997937i | \(-0.520449\pi\) | ||||
−0.0641982 | + | 0.997937i | \(0.520449\pi\) | |||||||
\(942\) | 5.78414 | 0.188457 | ||||||||
\(943\) | 19.5156 | 0.635514 | ||||||||
\(944\) | −21.9177 | −0.713361 | ||||||||
\(945\) | −1.97804 | −0.0643458 | ||||||||
\(946\) | 9.72240 | 0.316103 | ||||||||
\(947\) | −31.7228 | −1.03085 | −0.515427 | − | 0.856934i | \(-0.672367\pi\) | ||||
−0.515427 | + | 0.856934i | \(0.672367\pi\) | |||||||
\(948\) | −7.24175 | −0.235201 | ||||||||
\(949\) | 11.5835 | 0.376017 | ||||||||
\(950\) | −70.5654 | −2.28944 | ||||||||
\(951\) | 1.88566 | 0.0611466 | ||||||||
\(952\) | −264.022 | −8.55699 | ||||||||
\(953\) | −13.8767 | −0.449510 | −0.224755 | − | 0.974415i | \(-0.572158\pi\) | ||||
−0.224755 | + | 0.974415i | \(0.572158\pi\) | |||||||
\(954\) | −54.0050 | −1.74848 | ||||||||
\(955\) | 6.36384 | 0.205929 | ||||||||
\(956\) | −98.8431 | −3.19682 | ||||||||
\(957\) | 0.232844 | 0.00752678 | ||||||||
\(958\) | −48.6564 | −1.57202 | ||||||||
\(959\) | −83.3856 | −2.69266 | ||||||||
\(960\) | 1.23690 | 0.0399209 | ||||||||
\(961\) | 86.9727 | 2.80557 | ||||||||
\(962\) | −17.3260 | −0.558612 | ||||||||
\(963\) | −42.1541 | −1.35840 | ||||||||
\(964\) | 99.5965 | 3.20779 | ||||||||
\(965\) | −16.0495 | −0.516651 | ||||||||
\(966\) | 2.02282 | 0.0650830 | ||||||||
\(967\) | 23.6917 | 0.761873 | 0.380937 | − | 0.924601i | \(-0.375602\pi\) | ||||
0.380937 | + | 0.924601i | \(0.375602\pi\) | |||||||
\(968\) | 88.2680 | 2.83704 | ||||||||
\(969\) | −5.36401 | −0.172317 | ||||||||
\(970\) | 22.6776 | 0.728133 | ||||||||
\(971\) | −3.61344 | −0.115961 | −0.0579804 | − | 0.998318i | \(-0.518466\pi\) | ||||
−0.0579804 | + | 0.998318i | \(0.518466\pi\) | |||||||
\(972\) | 14.9414 | 0.479245 | ||||||||
\(973\) | −5.71879 | −0.183336 | ||||||||
\(974\) | −3.94361 | −0.126361 | ||||||||
\(975\) | −1.28770 | −0.0412394 | ||||||||
\(976\) | −134.762 | −4.31362 | ||||||||
\(977\) | 11.5946 | 0.370944 | 0.185472 | − | 0.982650i | \(-0.440619\pi\) | ||||
0.185472 | + | 0.982650i | \(0.440619\pi\) | |||||||
\(978\) | −5.05711 | −0.161708 | ||||||||
\(979\) | −0.690945 | −0.0220827 | ||||||||
\(980\) | 33.9215 | 1.08358 | ||||||||
\(981\) | −6.97373 | −0.222654 | ||||||||
\(982\) | −18.7638 | −0.598776 | ||||||||
\(983\) | −54.5626 | −1.74028 | −0.870138 | − | 0.492807i | \(-0.835971\pi\) | ||||
−0.870138 | + | 0.492807i | \(0.835971\pi\) | |||||||
\(984\) | 10.0462 | 0.320262 | ||||||||
\(985\) | 9.17076 | 0.292205 | ||||||||
\(986\) | −119.368 | −3.80144 | ||||||||
\(987\) | 4.25736 | 0.135513 | ||||||||
\(988\) | −80.1463 | −2.54979 | ||||||||
\(989\) | 16.5537 | 0.526378 | ||||||||
\(990\) | 2.29750 | 0.0730194 | ||||||||
\(991\) | −12.1881 | −0.387166 | −0.193583 | − | 0.981084i | \(-0.562011\pi\) | ||||
−0.193583 | + | 0.981084i | \(0.562011\pi\) | |||||||
\(992\) | 154.950 | 4.91968 | ||||||||
\(993\) | −3.51752 | −0.111625 | ||||||||
\(994\) | −38.5580 | −1.22299 | ||||||||
\(995\) | 2.08691 | 0.0661595 | ||||||||
\(996\) | −2.28392 | −0.0723689 | ||||||||
\(997\) | 23.6592 | 0.749293 | 0.374647 | − | 0.927168i | \(-0.377764\pi\) | ||||
0.374647 | + | 0.927168i | \(0.377764\pi\) | |||||||
\(998\) | −104.887 | −3.32015 | ||||||||
\(999\) | −1.62406 | −0.0513829 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))