Newspace parameters
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.1 | ||
Character | \(\chi\) | \(=\) | 950.199 |
Dual form | 950.2.u.g.549.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | −1.49114 | − | 1.77707i | −0.860909 | − | 1.02599i | −0.999365 | − | 0.0356229i | \(-0.988658\pi\) |
0.138456 | − | 0.990369i | \(-0.455786\pi\) | |||||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.77707 | + | 1.49114i | 0.725486 | + | 0.608755i | ||||
\(7\) | −4.25802 | − | 2.45837i | −1.60938 | − | 0.929177i | −0.989508 | − | 0.144475i | \(-0.953851\pi\) |
−0.619873 | − | 0.784702i | \(-0.712816\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −0.413538 | + | 2.34529i | −0.137846 | + | 0.781763i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.42329 | − | 2.46520i | −0.429137 | − | 0.743287i | 0.567660 | − | 0.823263i | \(-0.307849\pi\) |
−0.996797 | + | 0.0799763i | \(0.974516\pi\) | |||||||
\(12\) | −2.00901 | − | 1.15990i | −0.579950 | − | 0.334834i | ||||
\(13\) | 4.21784 | − | 5.02662i | 1.16982 | − | 1.39413i | 0.267227 | − | 0.963634i | \(-0.413893\pi\) |
0.902590 | − | 0.430500i | \(-0.141663\pi\) | |||||||
\(14\) | 4.62023 | + | 1.68163i | 1.23481 | + | 0.449433i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −2.15794 | + | 0.380503i | −0.523377 | + | 0.0922855i | −0.429094 | − | 0.903260i | \(-0.641167\pi\) |
−0.0942832 | + | 0.995545i | \(0.530056\pi\) | |||||||
\(18\) | − | 2.38147i | − | 0.561317i | ||||||
\(19\) | −4.17271 | − | 1.26036i | −0.957285 | − | 0.289146i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.98061 | + | 11.2326i | 0.432204 | + | 2.45115i | ||||
\(22\) | 1.82974 | + | 2.18060i | 0.390102 | + | 0.464906i | ||||
\(23\) | 0.908934 | + | 2.49728i | 0.189526 | + | 0.520718i | 0.997667 | − | 0.0682711i | \(-0.0217483\pi\) |
−0.808141 | + | 0.588989i | \(0.799526\pi\) | |||||||
\(24\) | 2.17990 | + | 0.793418i | 0.444970 | + | 0.161956i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.28089 | + | 5.68268i | −0.643436 | + | 1.11446i | ||||
\(27\) | −1.24263 | + | 0.717435i | −0.239145 | + | 0.138070i | ||||
\(28\) | −4.84205 | − | 0.853783i | −0.915061 | − | 0.161350i | ||||
\(29\) | 1.32004 | − | 7.48630i | 0.245125 | − | 1.39017i | −0.575079 | − | 0.818098i | \(-0.695029\pi\) |
0.820203 | − | 0.572072i | \(-0.193860\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.70769 | − | 4.68986i | 0.486316 | − | 0.842324i | −0.513560 | − | 0.858054i | \(-0.671674\pi\) |
0.999876 | + | 0.0157295i | \(0.00500705\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −2.25852 | + | 6.20524i | −0.393158 | + | 1.08019i | ||||
\(34\) | 2.05908 | − | 0.749444i | 0.353130 | − | 0.128529i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.413538 | + | 2.34529i | 0.0689229 | + | 0.390881i | ||||
\(37\) | 2.06252i | 0.339076i | 0.985524 | + | 0.169538i | \(0.0542276\pi\) | ||||
−0.985524 | + | 0.169538i | \(0.945772\pi\) | |||||||
\(38\) | 4.32817 | + | 0.516628i | 0.702123 | + | 0.0838081i | ||||
\(39\) | −15.2220 | −2.43748 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.16810 | + | 6.01475i | −1.11947 | + | 0.939346i | −0.998578 | − | 0.0533193i | \(-0.983020\pi\) |
−0.120892 | + | 0.992666i | \(0.538575\pi\) | |||||||
\(42\) | −3.90103 | − | 10.7180i | −0.601942 | − | 1.65382i | ||||
\(43\) | 0.593093 | − | 1.62951i | 0.0904459 | − | 0.248498i | −0.886219 | − | 0.463266i | \(-0.846677\pi\) |
0.976665 | + | 0.214768i | \(0.0688996\pi\) | |||||||
\(44\) | −2.18060 | − | 1.82974i | −0.328738 | − | 0.275844i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.32877 | − | 2.30150i | −0.195917 | − | 0.339338i | ||||
\(47\) | 2.95934 | + | 0.521812i | 0.431664 | + | 0.0761140i | 0.385259 | − | 0.922809i | \(-0.374112\pi\) |
0.0464056 | + | 0.998923i | \(0.485223\pi\) | |||||||
\(48\) | −2.28456 | − | 0.402829i | −0.329747 | − | 0.0581433i | ||||
\(49\) | 8.58718 | + | 14.8734i | 1.22674 | + | 2.12478i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.89396 | + | 3.26742i | 0.545264 | + | 0.457531i | ||||
\(52\) | 2.24426 | − | 6.16606i | 0.311223 | − | 0.855079i | ||||
\(53\) | 1.44406 | + | 3.96752i | 0.198357 | + | 0.544981i | 0.998495 | − | 0.0548340i | \(-0.0174630\pi\) |
−0.800139 | + | 0.599815i | \(0.795241\pi\) | |||||||
\(54\) | 1.09917 | − | 0.922316i | 0.149579 | − | 0.125511i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.91674 | 0.657027 | ||||||||
\(57\) | 3.98234 | + | 9.29456i | 0.527474 | + | 1.23109i | ||||
\(58\) | 7.60179i | 0.998163i | ||||||||
\(59\) | 0.167500 | + | 0.949937i | 0.0218066 | + | 0.123671i | 0.993768 | − | 0.111470i | \(-0.0355559\pi\) |
−0.971961 | + | 0.235141i | \(0.924445\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.04727 | − | 2.56500i | 0.902311 | − | 0.328414i | 0.151132 | − | 0.988514i | \(-0.451708\pi\) |
0.751178 | + | 0.660099i | \(0.229486\pi\) | |||||||
\(62\) | −1.85217 | + | 5.08880i | −0.235226 | + | 0.646278i | ||||
\(63\) | 7.52644 | − | 8.96967i | 0.948243 | − | 1.13007i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.14668 | − | 6.50315i | 0.141147 | − | 0.800483i | ||||
\(67\) | −1.89039 | − | 0.333326i | −0.230948 | − | 0.0407223i | 0.0569765 | − | 0.998376i | \(-0.481854\pi\) |
−0.287924 | + | 0.957653i | \(0.592965\pi\) | |||||||
\(68\) | −1.89766 | + | 1.09561i | −0.230125 | + | 0.132863i | ||||
\(69\) | 3.08249 | − | 5.33902i | 0.371088 | − | 0.642743i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.79354 | + | 2.10868i | 0.687567 | + | 0.250254i | 0.662093 | − | 0.749422i | \(-0.269668\pi\) |
0.0254738 | + | 0.999675i | \(0.491891\pi\) | |||||||
\(72\) | −0.814510 | − | 2.23785i | −0.0959909 | − | 0.263733i | ||||
\(73\) | −2.55639 | − | 3.04659i | −0.299203 | − | 0.356576i | 0.595407 | − | 0.803424i | \(-0.296991\pi\) |
−0.894610 | + | 0.446848i | \(0.852546\pi\) | |||||||
\(74\) | −0.358153 | − | 2.03119i | −0.0416344 | − | 0.236121i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.35213 | + | 0.242800i | −0.499224 | + | 0.0278511i | ||||
\(77\) | 13.9959i | 1.59498i | ||||||||
\(78\) | 14.9908 | − | 2.64328i | 1.69737 | − | 0.299292i | ||||
\(79\) | −11.7380 | + | 9.84938i | −1.32063 | + | 1.10814i | −0.334461 | + | 0.942409i | \(0.608554\pi\) |
−0.986171 | + | 0.165732i | \(0.947001\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 9.84141 | + | 3.58198i | 1.09349 | + | 0.397998i | ||||
\(82\) | 6.01475 | − | 7.16810i | 0.664218 | − | 0.791584i | ||||
\(83\) | 1.13628 | + | 0.656032i | 0.124723 | + | 0.0720089i | 0.561064 | − | 0.827773i | \(-0.310392\pi\) |
−0.436340 | + | 0.899782i | \(0.643726\pi\) | |||||||
\(84\) | 5.70293 | + | 9.87776i | 0.622240 | + | 1.07775i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.301121 | + | 1.70774i | −0.0324708 | + | 0.184151i | ||||
\(87\) | −15.2720 | + | 8.81731i | −1.63733 | + | 0.945315i | ||||
\(88\) | 2.46520 | + | 1.42329i | 0.262792 | + | 0.151723i | ||||
\(89\) | 8.25512 | + | 6.92687i | 0.875041 | + | 0.734247i | 0.965153 | − | 0.261685i | \(-0.0842782\pi\) |
−0.0901123 | + | 0.995932i | \(0.528723\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −30.3170 | + | 11.0345i | −3.17808 | + | 1.15673i | ||||
\(92\) | 1.70824 | + | 2.03580i | 0.178096 | + | 0.212247i | ||||
\(93\) | −12.3718 | + | 2.18147i | −1.28289 | + | 0.226208i | ||||
\(94\) | −3.00499 | −0.309941 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.31980 | 0.236764 | ||||||||
\(97\) | 2.02308 | − | 0.356724i | 0.205413 | − | 0.0362198i | −0.0699948 | − | 0.997547i | \(-0.522298\pi\) |
0.275408 | + | 0.961328i | \(0.411187\pi\) | |||||||
\(98\) | −11.0395 | − | 13.1563i | −1.11515 | − | 1.32899i | ||||
\(99\) | 6.37020 | − | 2.31856i | 0.640229 | − | 0.233024i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.83762 | − | 3.22015i | −0.381857 | − | 0.320416i | 0.431574 | − | 0.902078i | \(-0.357959\pi\) |
−0.813431 | + | 0.581661i | \(0.802403\pi\) | |||||||
\(102\) | −4.40219 | − | 2.54161i | −0.435882 | − | 0.251656i | ||||
\(103\) | −7.82444 | + | 4.51744i | −0.770965 | + | 0.445117i | −0.833219 | − | 0.552943i | \(-0.813505\pi\) |
0.0622537 | + | 0.998060i | \(0.480171\pi\) | |||||||
\(104\) | −1.13944 | + | 6.46210i | −0.111732 | + | 0.633661i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.11108 | − | 3.65649i | −0.205046 | − | 0.355150i | ||||
\(107\) | 5.16829 | + | 2.98391i | 0.499637 | + | 0.288466i | 0.728564 | − | 0.684978i | \(-0.240188\pi\) |
−0.228926 | + | 0.973444i | \(0.573522\pi\) | |||||||
\(108\) | −0.922316 | + | 1.09917i | −0.0887499 | + | 0.105768i | ||||
\(109\) | −14.8753 | − | 5.41417i | −1.42480 | − | 0.518583i | −0.489360 | − | 0.872082i | \(-0.662770\pi\) |
−0.935435 | + | 0.353499i | \(0.884992\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.66524 | − | 3.07550i | 0.347889 | − | 0.291914i | ||||
\(112\) | −4.84205 | + | 0.853783i | −0.457530 | + | 0.0806750i | ||||
\(113\) | 18.2051i | 1.71259i | 0.516485 | + | 0.856296i | \(0.327240\pi\) | ||||
−0.516485 | + | 0.856296i | \(0.672760\pi\) | |||||||
\(114\) | −5.53582 | − | 8.46183i | −0.518477 | − | 0.792523i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.32004 | − | 7.48630i | −0.122562 | − | 0.695085i | ||||
\(117\) | 10.0446 | + | 11.9707i | 0.928628 | + | 1.10670i | ||||
\(118\) | −0.329910 | − | 0.906420i | −0.0303707 | − | 0.0834427i | ||||
\(119\) | 10.1240 | + | 3.68482i | 0.928063 | + | 0.337787i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.44851 | − | 2.50890i | 0.131683 | − | 0.228082i | ||||
\(122\) | −6.49480 | + | 3.74977i | −0.588012 | + | 0.339489i | ||||
\(123\) | 21.3773 | + | 3.76939i | 1.92752 | + | 0.339874i | ||||
\(124\) | 0.940372 | − | 5.33311i | 0.0844479 | − | 0.478928i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.85453 | + | 10.1404i | −0.521563 | + | 0.903374i | ||||
\(127\) | 4.91703 | − | 5.85989i | 0.436316 | − | 0.519981i | −0.502418 | − | 0.864625i | \(-0.667556\pi\) |
0.938733 | + | 0.344644i | \(0.112000\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | −3.78014 | + | 1.37586i | −0.332823 | + | 0.121137i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.31209 | − | 13.1125i | −0.202008 | − | 1.14564i | −0.902079 | − | 0.431571i | \(-0.857960\pi\) |
0.700071 | − | 0.714073i | \(-0.253152\pi\) | |||||||
\(132\) | 6.60347i | 0.574759i | ||||||||
\(133\) | 14.6691 | + | 15.6247i | 1.27197 | + | 1.35483i | ||||
\(134\) | 1.91955 | 0.165824 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.67858 | − | 1.40849i | 0.143937 | − | 0.120777i | ||||
\(137\) | −2.47153 | − | 6.79047i | −0.211157 | − | 0.580149i | 0.788222 | − | 0.615391i | \(-0.211002\pi\) |
−0.999379 | + | 0.0352423i | \(0.988780\pi\) | |||||||
\(138\) | −2.10854 | + | 5.79318i | −0.179491 | + | 0.493148i | ||||
\(139\) | 1.84752 | + | 1.55026i | 0.156705 | + | 0.131491i | 0.717769 | − | 0.696281i | \(-0.245163\pi\) |
−0.561064 | + | 0.827772i | \(0.689608\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.48549 | − | 6.03705i | −0.293531 | − | 0.508411i | ||||
\(142\) | −6.07169 | − | 1.07060i | −0.509525 | − | 0.0898430i | ||||
\(143\) | −18.3948 | − | 3.24351i | −1.53825 | − | 0.271236i | ||||
\(144\) | 1.19073 | + | 2.06241i | 0.0992279 | + | 0.171868i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.04659 | + | 2.55639i | 0.252137 | + | 0.211568i | ||||
\(147\) | 13.6264 | − | 37.4384i | 1.12389 | − | 3.08786i | ||||
\(148\) | 0.705424 | + | 1.93814i | 0.0579855 | + | 0.159314i | ||||
\(149\) | 5.34602 | − | 4.48584i | 0.437963 | − | 0.367495i | −0.396983 | − | 0.917826i | \(-0.629943\pi\) |
0.834946 | + | 0.550331i | \(0.185499\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.69362 | −0.463340 | −0.231670 | − | 0.972794i | \(-0.574419\pi\) | ||||
−0.231670 | + | 0.972794i | \(0.574419\pi\) | |||||||
\(152\) | 4.24385 | − | 0.994851i | 0.344222 | − | 0.0806931i | ||||
\(153\) | − | 5.21834i | − | 0.421878i | ||||||
\(154\) | −2.43036 | − | 13.7832i | −0.195844 | − | 1.11068i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −14.3040 | + | 5.20624i | −1.14524 | + | 0.416833i | ||||
\(157\) | 1.81744 | − | 4.99337i | 0.145047 | − | 0.398514i | −0.845800 | − | 0.533500i | \(-0.820877\pi\) |
0.990848 | + | 0.134985i | \(0.0430988\pi\) | |||||||
\(158\) | 9.84938 | − | 11.7380i | 0.783575 | − | 0.933828i | ||||
\(159\) | 4.89727 | − | 8.48232i | 0.388379 | − | 0.672692i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.26897 | − | 12.8680i | 0.178820 | − | 1.01414i | ||||
\(162\) | −10.3139 | − | 1.81862i | −0.810337 | − | 0.142884i | ||||
\(163\) | −3.87424 | + | 2.23679i | −0.303454 | + | 0.175199i | −0.643993 | − | 0.765031i | \(-0.722724\pi\) |
0.340540 | + | 0.940230i | \(0.389390\pi\) | |||||||
\(164\) | −4.67865 | + | 8.10365i | −0.365341 | + | 0.632789i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.23294 | − | 0.448753i | −0.0956945 | − | 0.0348300i | ||||
\(167\) | 1.24795 | + | 3.42872i | 0.0965694 | + | 0.265322i | 0.978566 | − | 0.205934i | \(-0.0660231\pi\) |
−0.881997 | + | 0.471256i | \(0.843801\pi\) | |||||||
\(168\) | −7.33154 | − | 8.73739i | −0.565641 | − | 0.674104i | ||||
\(169\) | −5.21936 | − | 29.6004i | −0.401489 | − | 2.27696i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.68148 | − | 9.26500i | 0.358002 | − | 0.708512i | ||||
\(172\) | − | 1.73409i | − | 0.132223i | ||||||
\(173\) | 1.15844 | − | 0.204264i | 0.0880746 | − | 0.0155299i | −0.129437 | − | 0.991588i | \(-0.541317\pi\) |
0.217512 | + | 0.976058i | \(0.430206\pi\) | |||||||
\(174\) | 13.5089 | − | 11.3353i | 1.02411 | − | 0.859328i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.67490 | − | 0.973585i | −0.201628 | − | 0.0733867i | ||||
\(177\) | 1.43834 | − | 1.71415i | 0.108112 | − | 0.128843i | ||||
\(178\) | −9.33254 | − | 5.38815i | −0.699504 | − | 0.403859i | ||||
\(179\) | 2.16529 | + | 3.75038i | 0.161841 | + | 0.280317i | 0.935529 | − | 0.353250i | \(-0.114923\pi\) |
−0.773688 | + | 0.633567i | \(0.781590\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.237758 | − | 1.34839i | 0.0176724 | − | 0.100225i | −0.974696 | − | 0.223536i | \(-0.928240\pi\) |
0.992368 | + | 0.123311i | \(0.0393511\pi\) | |||||||
\(182\) | 27.9403 | − | 16.1313i | 2.07107 | − | 1.19573i | ||||
\(183\) | −15.0666 | − | 8.69872i | −1.11376 | − | 0.643028i | ||||
\(184\) | −2.03580 | − | 1.70824i | −0.150081 | − | 0.125933i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 11.8050 | − | 4.29667i | 0.865584 | − | 0.315047i | ||||
\(187\) | 4.00938 | + | 4.77819i | 0.293195 | + | 0.349416i | ||||
\(188\) | 2.95934 | − | 0.521812i | 0.215832 | − | 0.0380570i | ||||
\(189\) | 7.05488 | 0.513167 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.6338 | 0.986505 | 0.493252 | − | 0.869886i | \(-0.335808\pi\) | ||||
0.493252 | + | 0.869886i | \(0.335808\pi\) | |||||||
\(192\) | −2.28456 | + | 0.402829i | −0.164874 | + | 0.0290717i | ||||
\(193\) | −3.35501 | − | 3.99835i | −0.241499 | − | 0.287807i | 0.631657 | − | 0.775248i | \(-0.282375\pi\) |
−0.873156 | + | 0.487441i | \(0.837931\pi\) | |||||||
\(194\) | −1.93040 | + | 0.702609i | −0.138595 | + | 0.0504444i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.1563 | + | 11.0395i | 0.939737 | + | 0.788533i | ||||
\(197\) | 2.47286 | + | 1.42771i | 0.176184 | + | 0.101720i | 0.585498 | − | 0.810674i | \(-0.300899\pi\) |
−0.409315 | + | 0.912393i | \(0.634232\pi\) | |||||||
\(198\) | −5.87080 | + | 3.38951i | −0.417220 | + | 0.240882i | ||||
\(199\) | 0.254330 | − | 1.44238i | 0.0180290 | − | 0.102247i | −0.974465 | − | 0.224538i | \(-0.927913\pi\) |
0.992494 | + | 0.122290i | \(0.0390239\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.22649 | + | 3.85639i | 0.157044 | + | 0.272009i | ||||
\(202\) | 4.33849 | + | 2.50483i | 0.305255 | + | 0.176239i | ||||
\(203\) | −24.0248 | + | 28.6317i | −1.68621 | + | 2.00955i | ||||
\(204\) | 4.77666 | + | 1.73856i | 0.334433 | + | 0.121724i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.92112 | − | 5.80751i | 0.482218 | − | 0.404629i | ||||
\(207\) | −6.23271 | + | 1.09900i | −0.433203 | + | 0.0763855i | ||||
\(208\) | − | 6.56179i | − | 0.454978i | ||||||
\(209\) | 2.83192 | + | 12.0804i | 0.195888 | + | 0.835621i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.227567 | + | 1.29059i | 0.0156663 | + | 0.0888482i | 0.991638 | − | 0.129047i | \(-0.0411919\pi\) |
−0.975972 | + | 0.217896i | \(0.930081\pi\) | |||||||
\(212\) | 2.71395 | + | 3.23435i | 0.186395 | + | 0.222136i | ||||
\(213\) | −4.89171 | − | 13.4399i | −0.335174 | − | 0.920883i | ||||
\(214\) | −5.60792 | − | 2.04112i | −0.383350 | − | 0.139528i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.717435 | − | 1.24263i | 0.0488152 | − | 0.0845505i | ||||
\(217\) | −23.0588 | + | 13.3130i | −1.56534 | + | 0.903747i | ||||
\(218\) | 15.5895 | + | 2.74884i | 1.05585 | + | 0.186175i | ||||
\(219\) | −1.60206 | + | 9.08576i | −0.108257 | + | 0.613959i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.18919 | + | 12.4520i | −0.483597 | + | 0.837615i | ||||
\(222\) | −3.07550 | + | 3.66524i | −0.206414 | + | 0.245995i | ||||
\(223\) | 9.62115 | − | 26.4339i | 0.644280 | − | 1.77014i | 0.00643379 | − | 0.999979i | \(-0.497952\pi\) |
0.637846 | − | 0.770164i | \(-0.279826\pi\) | |||||||
\(224\) | 4.62023 | − | 1.68163i | 0.308702 | − | 0.112358i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.16128 | − | 17.9285i | −0.210285 | − | 1.19259i | ||||
\(227\) | − | 12.6466i | − | 0.839382i | −0.907667 | − | 0.419691i | \(-0.862138\pi\) | ||
0.907667 | − | 0.419691i | \(-0.137862\pi\) | |||||||
\(228\) | 6.92110 | + | 7.37199i | 0.458361 | + | 0.488222i | ||||
\(229\) | −13.7440 | −0.908227 | −0.454113 | − | 0.890944i | \(-0.650044\pi\) | ||||
−0.454113 | + | 0.890944i | \(0.650044\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 24.8716 | − | 20.8698i | 1.63643 | − | 1.37313i | ||||
\(232\) | 2.59996 | + | 7.14334i | 0.170696 | + | 0.468983i | ||||
\(233\) | 8.41990 | − | 23.1335i | 0.551606 | − | 1.51552i | −0.279911 | − | 0.960026i | \(-0.590305\pi\) |
0.831517 | − | 0.555499i | \(-0.187473\pi\) | |||||||
\(234\) | −11.9707 | − | 10.0446i | −0.782552 | − | 0.656639i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.482296 | + | 0.835361i | 0.0313948 | + | 0.0543774i | ||||
\(237\) | 35.0061 | + | 6.17251i | 2.27389 | + | 0.400948i | ||||
\(238\) | −10.6100 | − | 1.87083i | −0.687746 | − | 0.121268i | ||||
\(239\) | −8.14698 | − | 14.1110i | −0.526984 | − | 0.912763i | −0.999506 | − | 0.0314439i | \(-0.989989\pi\) |
0.472522 | − | 0.881319i | \(-0.343344\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.7500 | − | 12.3767i | −0.950133 | − | 0.797256i | 0.0291873 | − | 0.999574i | \(-0.490708\pi\) |
−0.979320 | + | 0.202318i | \(0.935153\pi\) | |||||||
\(242\) | −0.990842 | + | 2.72232i | −0.0636938 | + | 0.174997i | ||||
\(243\) | −6.83722 | − | 18.7851i | −0.438608 | − | 1.20506i | ||||
\(244\) | 5.74499 | − | 4.82062i | 0.367785 | − | 0.308608i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −21.7070 | −1.38399 | ||||||||
\(247\) | −23.9351 | + | 15.6586i | −1.52296 | + | 0.996335i | ||||
\(248\) | 5.41539i | 0.343877i | ||||||||
\(249\) | −0.528538 | − | 2.99749i | −0.0334947 | − | 0.189958i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 26.0953 | − | 9.49792i | 1.64712 | − | 0.599504i | 0.658860 | − | 0.752266i | \(-0.271039\pi\) |
0.988263 | + | 0.152762i | \(0.0488169\pi\) | |||||||
\(252\) | 4.00474 | − | 11.0029i | 0.252275 | − | 0.693119i | ||||
\(253\) | 4.86262 | − | 5.79505i | 0.305710 | − | 0.364331i | ||||
\(254\) | −3.82477 | + | 6.62470i | −0.239987 | + | 0.415671i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −12.8717 | − | 2.26963i | −0.802915 | − | 0.141576i | −0.242893 | − | 0.970053i | \(-0.578096\pi\) |
−0.560022 | + | 0.828478i | \(0.689207\pi\) | |||||||
\(258\) | 3.48379 | − | 2.01137i | 0.216891 | − | 0.125222i | ||||
\(259\) | 5.07044 | − | 8.78226i | 0.315062 | − | 0.545703i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.0116 | + | 6.19173i | 1.05299 | + | 0.383259i | ||||
\(262\) | 4.55392 | + | 12.5118i | 0.281342 | + | 0.772981i | ||||
\(263\) | 9.67780 | + | 11.5336i | 0.596759 | + | 0.711190i | 0.976890 | − | 0.213743i | \(-0.0685655\pi\) |
−0.380131 | + | 0.924933i | \(0.624121\pi\) | |||||||
\(264\) | −1.14668 | − | 6.50315i | −0.0705734 | − | 0.400241i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −17.1594 | − | 12.8401i | −1.05211 | − | 0.787276i | ||||
\(267\) | − | 24.9988i | − | 1.52990i | ||||||
\(268\) | −1.89039 | + | 0.333326i | −0.115474 | + | 0.0203612i | ||||
\(269\) | −18.7339 | + | 15.7196i | −1.14222 | + | 0.958439i | −0.999509 | − | 0.0313248i | \(-0.990027\pi\) |
−0.142714 | + | 0.989764i | \(0.545583\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.41094 | − | 3.06133i | −0.510928 | − | 0.185963i | 0.0736745 | − | 0.997282i | \(-0.476527\pi\) |
−0.584603 | + | 0.811320i | \(0.698750\pi\) | |||||||
\(272\) | −1.40849 | + | 1.67858i | −0.0854025 | + | 0.101779i | ||||
\(273\) | 64.8158 | + | 37.4214i | 3.92283 | + | 2.26485i | ||||
\(274\) | 3.61313 | + | 6.25813i | 0.218277 | + | 0.378067i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.07054 | − | 6.07131i | 0.0644387 | − | 0.365450i | ||||
\(277\) | 6.75622 | − | 3.90071i | 0.405942 | − | 0.234371i | −0.283103 | − | 0.959090i | \(-0.591364\pi\) |
0.689045 | + | 0.724719i | \(0.258030\pi\) | |||||||
\(278\) | −2.08866 | − | 1.20589i | −0.125269 | − | 0.0723242i | ||||
\(279\) | 9.87935 | + | 8.28976i | 0.591461 | + | 0.496295i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −17.1947 | + | 6.25837i | −1.02575 | + | 0.373343i | −0.799462 | − | 0.600717i | \(-0.794882\pi\) |
−0.226290 | + | 0.974060i | \(0.572660\pi\) | |||||||
\(282\) | 4.48086 | + | 5.34008i | 0.266831 | + | 0.317997i | ||||
\(283\) | −7.11822 | + | 1.25513i | −0.423134 | + | 0.0746100i | −0.381161 | − | 0.924509i | \(-0.624476\pi\) |
−0.0419735 | + | 0.999119i | \(0.513365\pi\) | |||||||
\(284\) | 6.16536 | 0.365847 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 18.6786 | 1.10449 | ||||||||
\(287\) | 45.3084 | − | 7.98910i | 2.67447 | − | 0.471582i | ||||
\(288\) | −1.53078 | − | 1.82431i | −0.0902020 | − | 0.107499i | ||||
\(289\) | −11.4629 | + | 4.17214i | −0.674286 | + | 0.245420i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.65062 | − | 3.06323i | −0.214003 | − | 0.179570i | ||||
\(292\) | −3.44421 | − | 1.98852i | −0.201557 | − | 0.116369i | ||||
\(293\) | 9.86109 | − | 5.69330i | 0.576091 | − | 0.332606i | −0.183488 | − | 0.983022i | \(-0.558739\pi\) |
0.759578 | + | 0.650416i | \(0.225405\pi\) | |||||||
\(294\) | −6.91833 | + | 39.2358i | −0.403485 | + | 2.28828i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.03126 | − | 1.78620i | −0.0599408 | − | 0.103821i | ||||
\(297\) | 3.53724 | + | 2.04223i | 0.205252 | + | 0.118502i | ||||
\(298\) | −4.48584 | + | 5.34602i | −0.259858 | + | 0.309687i | ||||
\(299\) | 16.3866 | + | 5.96423i | 0.947662 | + | 0.344921i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.53135 | + | 5.48045i | −0.376461 | + | 0.315888i | ||||
\(302\) | 5.60712 | − | 0.988686i | 0.322653 | − | 0.0568925i | ||||
\(303\) | 11.6214i | 0.667632i | ||||||||
\(304\) | −4.00662 | + | 1.71667i | −0.229796 | + | 0.0984580i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.906156 | + | 5.13906i | 0.0518015 | + | 0.293781i | ||||
\(307\) | −3.17725 | − | 3.78649i | −0.181335 | − | 0.216107i | 0.667718 | − | 0.744414i | \(-0.267271\pi\) |
−0.849053 | + | 0.528308i | \(0.822827\pi\) | |||||||
\(308\) | 4.78687 | + | 13.1518i | 0.272757 | + | 0.749394i | ||||
\(309\) | 19.6951 | + | 7.16844i | 1.12042 | + | 0.407798i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.0586 | + | 20.8861i | −0.683782 | + | 1.18434i | 0.290036 | + | 0.957016i | \(0.406333\pi\) |
−0.973818 | + | 0.227329i | \(0.927001\pi\) | |||||||
\(312\) | 13.1827 | − | 7.61102i | 0.746322 | − | 0.430889i | ||||
\(313\) | −30.5050 | − | 5.37886i | −1.72424 | − | 0.304031i | −0.778188 | − | 0.628031i | \(-0.783861\pi\) |
−0.946057 | + | 0.324001i | \(0.894972\pi\) | |||||||
\(314\) | −0.922737 | + | 5.23310i | −0.0520731 | + | 0.295321i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.66146 | + | 13.2700i | −0.430991 | + | 0.746498i | ||||
\(317\) | −4.44201 | + | 5.29378i | −0.249488 | + | 0.297328i | −0.876225 | − | 0.481903i | \(-0.839946\pi\) |
0.626737 | + | 0.779231i | \(0.284390\pi\) | |||||||
\(318\) | −3.34993 | + | 9.20386i | −0.187855 | + | 0.516127i | ||||
\(319\) | −20.3340 | + | 7.40098i | −1.13849 | + | 0.414376i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.40401 | − | 13.6338i | −0.134179 | − | 0.760966i | ||||
\(322\) | 13.0665i | 0.728166i | ||||||||
\(323\) | 9.48402 | + | 1.13205i | 0.527705 | + | 0.0629890i | ||||
\(324\) | 10.4730 | 0.581834 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.42697 | − | 2.87557i | 0.189802 | − | 0.159263i | ||||
\(327\) | 12.5598 | + | 34.5077i | 0.694557 | + | 1.90828i | ||||
\(328\) | 3.20038 | − | 8.79298i | 0.176712 | − | 0.485511i | ||||
\(329\) | −11.3181 | − | 9.49705i | −0.623989 | − | 0.523589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.08943 | − | 3.61900i | −0.114845 | − | 0.198918i | 0.802873 | − | 0.596151i | \(-0.203304\pi\) |
−0.917718 | + | 0.397233i | \(0.869971\pi\) | |||||||
\(332\) | 1.29213 | + | 0.227838i | 0.0709149 | + | 0.0125042i | ||||
\(333\) | −4.83721 | − | 0.852930i | −0.265077 | − | 0.0467403i | ||||
\(334\) | −1.82438 | − | 3.15992i | −0.0998258 | − | 0.172903i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 8.73739 | + | 7.33154i | 0.476664 | + | 0.399968i | ||||
\(337\) | −5.88315 | + | 16.1638i | −0.320476 | + | 0.880500i | 0.669944 | + | 0.742411i | \(0.266318\pi\) |
−0.990420 | + | 0.138088i | \(0.955904\pi\) | |||||||
\(338\) | 10.2801 | + | 28.2444i | 0.559165 | + | 1.53629i | ||||
\(339\) | 32.3517 | − | 27.1463i | 1.75710 | − | 1.47439i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.4153 | −0.834784 | ||||||||
\(342\) | −3.00151 | + | 9.93717i | −0.162303 | + | 0.537341i | ||||
\(343\) | − | 50.0247i | − | 2.70108i | ||||||
\(344\) | 0.301121 | + | 1.70774i | 0.0162354 | + | 0.0920754i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.10537 | + | 0.402322i | −0.0594251 | + | 0.0216290i | ||||
\(347\) | −6.31466 | + | 17.3494i | −0.338989 | + | 0.931364i | 0.646693 | + | 0.762750i | \(0.276151\pi\) |
−0.985682 | + | 0.168614i | \(0.946071\pi\) | |||||||
\(348\) | −11.3353 | + | 13.5089i | −0.607637 | + | 0.724153i | ||||
\(349\) | 12.3704 | − | 21.4262i | 0.662174 | − | 1.14692i | −0.317870 | − | 0.948134i | \(-0.602967\pi\) |
0.980043 | − | 0.198784i | \(-0.0636992\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.63495 | + | 9.27227i | −0.0872672 | + | 0.494917i | ||||
\(352\) | 2.80333 | + | 0.494302i | 0.149418 | + | 0.0263464i | ||||
\(353\) | −5.55115 | + | 3.20496i | −0.295458 | + | 0.170583i | −0.640401 | − | 0.768041i | \(-0.721232\pi\) |
0.344943 | + | 0.938624i | \(0.387898\pi\) | |||||||
\(354\) | −1.11883 | + | 1.93787i | −0.0594651 | + | 0.102997i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 10.1264 | + | 3.68571i | 0.536698 | + | 0.195342i | ||||
\(357\) | −8.54805 | − | 23.4856i | −0.452411 | − | 1.24299i | ||||
\(358\) | −2.78364 | − | 3.31741i | −0.147120 | − | 0.175331i | ||||
\(359\) | 6.39293 | + | 36.2561i | 0.337406 | + | 1.91353i | 0.402051 | + | 0.915617i | \(0.368297\pi\) |
−0.0646449 | + | 0.997908i | \(0.520591\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.8230 | + | 10.5182i | 0.832789 | + | 0.553591i | ||||
\(362\) | 1.36920i | 0.0719633i | ||||||||
\(363\) | −6.61843 | + | 1.16701i | −0.347377 | + | 0.0612520i | ||||
\(364\) | −24.7146 | + | 20.7380i | −1.29540 | + | 1.08697i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 16.3483 | + | 5.95028i | 0.854537 | + | 0.311026i | ||||
\(367\) | 9.39999 | − | 11.2025i | 0.490676 | − | 0.584764i | −0.462714 | − | 0.886508i | \(-0.653124\pi\) |
0.953389 | + | 0.301743i | \(0.0975686\pi\) | |||||||
\(368\) | 2.30150 | + | 1.32877i | 0.119974 | + | 0.0692671i | ||||
\(369\) | −11.1420 | − | 19.2986i | −0.580032 | − | 1.00464i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.60480 | − | 20.4438i | 0.187152 | − | 1.06139i | ||||
\(372\) | −10.8795 | + | 6.28130i | −0.564078 | + | 0.325670i | ||||
\(373\) | 11.7411 | + | 6.77871i | 0.607930 | + | 0.350989i | 0.772155 | − | 0.635434i | \(-0.219179\pi\) |
−0.164225 | + | 0.986423i | \(0.552512\pi\) | |||||||
\(374\) | −4.77819 | − | 4.00938i | −0.247075 | − | 0.207320i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.82377 | + | 1.02777i | −0.145625 | + | 0.0530031i | ||||
\(377\) | −32.0631 | − | 38.2113i | −1.65133 | − | 1.96798i | ||||
\(378\) | −6.94770 | + | 1.22507i | −0.357351 | + | 0.0630107i | ||||
\(379\) | −30.2899 | −1.55589 | −0.777944 | − | 0.628333i | \(-0.783738\pi\) | ||||
−0.777944 | + | 0.628333i | \(0.783738\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −17.7454 | −0.909124 | ||||||||
\(382\) | −13.4266 | + | 2.36748i | −0.686967 | + | 0.121131i | ||||
\(383\) | −18.4242 | − | 21.9571i | −0.941433 | − | 1.12196i | −0.992375 | − | 0.123254i | \(-0.960667\pi\) |
0.0509425 | − | 0.998702i | \(-0.483777\pi\) | |||||||
\(384\) | 2.17990 | − | 0.793418i | 0.111242 | − | 0.0404889i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.99835 | + | 3.35501i | 0.203511 | + | 0.170766i | ||||
\(387\) | 3.57641 | + | 2.06484i | 0.181799 | + | 0.104962i | ||||
\(388\) | 1.77907 | − | 1.02715i | 0.0903186 | − | 0.0521454i | ||||
\(389\) | −2.97395 | + | 16.8661i | −0.150785 | + | 0.855145i | 0.811754 | + | 0.584000i | \(0.198513\pi\) |
−0.962539 | + | 0.271145i | \(0.912598\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.91165 | − | 5.04312i | −0.147248 | − | 0.255041i | ||||
\(392\) | −14.8734 | − | 8.58718i | −0.751222 | − | 0.433718i | ||||
\(393\) | −19.8542 | + | 23.6613i | −1.00151 | + | 1.19355i | ||||
\(394\) | −2.68321 | − | 0.976608i | −0.135178 | − | 0.0492008i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 5.19303 | − | 4.35747i | 0.260960 | − | 0.218971i | ||||
\(397\) | 25.7084 | − | 4.53308i | 1.29027 | − | 0.227509i | 0.513932 | − | 0.857831i | \(-0.328188\pi\) |
0.776334 | + | 0.630322i | \(0.217077\pi\) | |||||||
\(398\) | 1.46463i | 0.0734151i | ||||||||
\(399\) | 5.89259 | − | 49.3665i | 0.294998 | − | 2.47142i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.61683 | − | 9.16948i | −0.0807405 | − | 0.457902i | −0.998195 | − | 0.0600607i | \(-0.980871\pi\) |
0.917454 | − | 0.397841i | \(-0.130241\pi\) | |||||||
\(402\) | −2.86232 | − | 3.41117i | −0.142759 | − | 0.170134i | ||||
\(403\) | −12.1536 | − | 33.3916i | −0.605412 | − | 1.66336i | ||||
\(404\) | −4.70754 | − | 1.71340i | −0.234209 | − | 0.0852450i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.6880 | − | 32.3686i | 0.927471 | − | 1.60643i | ||||
\(407\) | 5.08453 | − | 2.93556i | 0.252031 | − | 0.145510i | ||||
\(408\) | −5.00598 | − | 0.882690i | −0.247833 | − | 0.0436997i | ||||
\(409\) | −2.53175 | + | 14.3583i | −0.125187 | + | 0.709972i | 0.856009 | + | 0.516960i | \(0.172937\pi\) |
−0.981196 | + | 0.193012i | \(0.938175\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.38174 | + | 14.5176i | −0.413441 | + | 0.716101i | ||||
\(412\) | −5.80751 | + | 6.92112i | −0.286116 | + | 0.340979i | ||||
\(413\) | 1.62208 | − | 4.45663i | 0.0798174 | − | 0.219297i | ||||
\(414\) | 5.94718 | − | 2.16460i | 0.292288 | − | 0.106384i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.13944 | + | 6.46210i | 0.0558658 | + | 0.316831i | ||||
\(417\) | − | 5.59483i | − | 0.273980i | ||||||
\(418\) | −4.88664 | − | 11.4051i | −0.239013 | − | 0.557844i | ||||
\(419\) | −14.5969 | −0.713103 | −0.356552 | − | 0.934276i | \(-0.616048\pi\) | ||||
−0.356552 | + | 0.934276i | \(0.616048\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.0605 | + | 25.2237i | −1.46506 | + | 1.22933i | −0.544478 | + | 0.838775i | \(0.683272\pi\) |
−0.920580 | + | 0.390554i | \(0.872283\pi\) | |||||||
\(422\) | −0.448219 | − | 1.23147i | −0.0218190 | − | 0.0599471i | ||||
\(423\) | −2.44760 | + | 6.72472i | −0.119006 | + | 0.326967i | ||||
\(424\) | −3.23435 | − | 2.71395i | −0.157074 | − | 0.131801i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 7.15120 | + | 12.3862i | 0.346477 | + | 0.600115i | ||||
\(427\) | −36.3132 | − | 6.40299i | −1.75732 | − | 0.309862i | ||||
\(428\) | 5.87716 | + | 1.03630i | 0.284083 | + | 0.0500916i | ||||
\(429\) | 21.6653 | + | 37.5254i | 1.04601 | + | 1.81174i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.7585 | + | 14.0620i | 0.807228 | + | 0.677345i | 0.949944 | − | 0.312419i | \(-0.101139\pi\) |
−0.142716 | + | 0.989764i | \(0.545584\pi\) | |||||||
\(432\) | −0.490754 | + | 1.34834i | −0.0236114 | + | 0.0648718i | ||||
\(433\) | 0.376798 | + | 1.03524i | 0.0181078 | + | 0.0497507i | 0.948417 | − | 0.317025i | \(-0.102684\pi\) |
−0.930309 | + | 0.366776i | \(0.880462\pi\) | |||||||
\(434\) | 20.3967 | − | 17.1149i | 0.979075 | − | 0.821542i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.8300 | −0.758118 | ||||||||
\(437\) | −0.645253 | − | 11.5660i | −0.0308666 | − | 0.553276i | ||||
\(438\) | − | 9.22592i | − | 0.440832i | ||||||
\(439\) | 0.732304 | + | 4.15310i | 0.0349510 | + | 0.198217i | 0.997284 | − | 0.0736582i | \(-0.0234674\pi\) |
−0.962333 | + | 0.271875i | \(0.912356\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −38.4336 | + | 13.9887i | −1.83017 | + | 0.666128i | ||||
\(442\) | 4.91770 | − | 13.5113i | 0.233911 | − | 0.642665i | ||||
\(443\) | −4.87432 | + | 5.80899i | −0.231586 | + | 0.275993i | −0.869305 | − | 0.494275i | \(-0.835433\pi\) |
0.637719 | + | 0.770269i | \(0.279878\pi\) | |||||||
\(444\) | 2.39232 | − | 4.14362i | 0.113534 | − | 0.196647i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.88478 | + | 27.7030i | −0.231301 | + | 1.31177i | ||||
\(447\) | −15.9433 | − | 2.81124i | −0.754093 | − | 0.132967i | ||||
\(448\) | −4.25802 | + | 2.45837i | −0.201173 | + | 0.116147i | ||||
\(449\) | 14.8487 | − | 25.7188i | 0.700756 | − | 1.21374i | −0.267446 | − | 0.963573i | \(-0.586180\pi\) |
0.968202 | − | 0.250171i | \(-0.0804870\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 25.0298 | + | 9.11012i | 1.17861 | + | 0.428979i | ||||
\(452\) | 6.22651 | + | 17.1072i | 0.292871 | + | 0.804655i | ||||
\(453\) | 8.48997 | + | 10.1180i | 0.398894 | + | 0.475383i | ||||
\(454\) | 2.19605 | + | 12.4544i | 0.103066 | + | 0.584515i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.09609 | − | 6.05816i | −0.379134 | − | 0.283699i | ||||
\(457\) | − | 9.12576i | − | 0.426885i | −0.976956 | − | 0.213442i | \(-0.931532\pi\) | ||
0.976956 | − | 0.213442i | \(-0.0684676\pi\) | |||||||
\(458\) | 13.5352 | − | 2.38661i | 0.632456 | − | 0.111519i | ||||
\(459\) | 2.40854 | − | 2.02101i | 0.112421 | − | 0.0943324i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 24.7943 | + | 9.02439i | 1.15479 | + | 0.420308i | 0.847232 | − | 0.531223i | \(-0.178267\pi\) |
0.307554 | + | 0.951531i | \(0.400490\pi\) | |||||||
\(462\) | −20.8698 | + | 24.8716i | −0.970949 | + | 1.15713i | ||||
\(463\) | 13.6156 | + | 7.86094i | 0.632768 | + | 0.365329i | 0.781823 | − | 0.623500i | \(-0.214290\pi\) |
−0.149055 | + | 0.988829i | \(0.547623\pi\) | |||||||
\(464\) | −3.80089 | − | 6.58334i | −0.176452 | − | 0.305624i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.27489 | + | 24.2441i | −0.198031 | + | 1.12309i | ||||
\(467\) | 5.97499 | − | 3.44966i | 0.276490 | − | 0.159631i | −0.355344 | − | 0.934736i | \(-0.615636\pi\) |
0.631833 | + | 0.775104i | \(0.282303\pi\) | |||||||
\(468\) | 13.5331 | + | 7.81335i | 0.625568 | + | 0.361172i | ||||
\(469\) | 7.22988 | + | 6.06659i | 0.333845 | + | 0.280129i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.5836 | + | 4.21609i | −0.533745 | + | 0.194267i | ||||
\(472\) | −0.620028 | − | 0.738920i | −0.0285391 | − | 0.0340116i | ||||
\(473\) | −4.86122 | + | 0.857164i | −0.223519 | + | 0.0394124i | ||||
\(474\) | −35.5461 | −1.63269 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 10.7737 | 0.493812 | ||||||||
\(477\) | −9.90216 | + | 1.74602i | −0.453389 | + | 0.0799447i | ||||
\(478\) | 10.4735 | + | 12.4819i | 0.479049 | + | 0.570908i | ||||
\(479\) | −3.42858 | + | 1.24790i | −0.156656 | + | 0.0570180i | −0.419158 | − | 0.907913i | \(-0.637675\pi\) |
0.262502 | + | 0.964931i | \(0.415452\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.3675 | + | 8.69938i | 0.472718 | + | 0.396657i | ||||
\(482\) | 16.6751 | + | 9.62739i | 0.759532 | + | 0.438516i | ||||
\(483\) | −26.2506 | + | 15.1558i | −1.19444 | + | 0.689612i | ||||
\(484\) | 0.503064 | − | 2.85302i | 0.0228665 | − | 0.129683i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 9.99534 | + | 17.3124i | 0.453398 | + | 0.785308i | ||||
\(487\) | −19.4986 | − | 11.2575i | −0.883568 | − | 0.510128i | −0.0117346 | − | 0.999931i | \(-0.503735\pi\) |
−0.871833 | + | 0.489803i | \(0.837069\pi\) | |||||||
\(488\) | −4.82062 | + | 5.74499i | −0.218219 | + | 0.260063i | ||||
\(489\) | 9.75196 | + | 3.54942i | 0.440999 | + | 0.160510i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.2746 | − | 16.1733i | 0.869849 | − | 0.729890i | −0.0942175 | − | 0.995552i | \(-0.530035\pi\) |
0.964066 | + | 0.265662i | \(0.0855905\pi\) | |||||||
\(492\) | 21.3773 | − | 3.76939i | 0.963761 | − | 0.169937i | ||||
\(493\) | 16.6573i | 0.750205i | ||||||||
\(494\) | 20.8524 | − | 19.5770i | 0.938195 | − | 0.880813i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.940372 | − | 5.33311i | −0.0422239 | − | 0.239464i | ||||
\(497\) | −19.4851 | − | 23.2215i | −0.874027 | − | 1.04163i | ||||
\(498\) | 1.04102 | + | 2.86017i | 0.0466490 | + | 0.128167i | ||||
\(499\) | 29.8561 | + | 10.8667i | 1.33654 | + | 0.486461i | 0.908721 | − | 0.417403i | \(-0.137060\pi\) |
0.427819 | + | 0.903864i | \(0.359282\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.23220 | − | 7.33039i | 0.189081 | − | 0.327498i | ||||
\(502\) | −24.0496 | + | 13.8850i | −1.07339 | + | 0.619719i | ||||
\(503\) | −25.1737 | − | 4.43880i | −1.12244 | − | 0.197917i | −0.418528 | − | 0.908204i | \(-0.637454\pi\) |
−0.703912 | + | 0.710287i | \(0.748565\pi\) | |||||||
\(504\) | −2.03326 | + | 11.5312i | −0.0905685 | + | 0.513640i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −3.78245 | + | 6.55139i | −0.168150 | + | 0.291245i | ||||
\(507\) | −44.8192 | + | 53.4135i | −1.99049 | + | 2.37218i | ||||
\(508\) | 2.61630 | − | 7.18822i | 0.116079 | − | 0.318926i | ||||
\(509\) | 9.28595 | − | 3.37981i | 0.411592 | − | 0.149807i | −0.127921 | − | 0.991784i | \(-0.540830\pi\) |
0.539513 | + | 0.841977i | \(0.318608\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.39553 | + | 19.2570i | 0.150209 | + | 0.851879i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 6.08937 | − | 1.42748i | 0.268852 | − | 0.0630248i | ||||
\(514\) | 13.0703 | 0.576505 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.08160 | + | 2.58577i | −0.135660 | + | 0.113832i | ||||
\(517\) | −2.92562 | − | 8.03806i | −0.128668 | − | 0.353514i | ||||
\(518\) | −3.46839 | + | 9.52932i | −0.152392 | + | 0.418694i | ||||
\(519\) | −2.09039 | − | 1.75404i | −0.0917578 | − | 0.0769940i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.14888 | + | 3.72196i | 0.0941440 | + | 0.163062i | 0.909251 | − | 0.416248i | \(-0.136655\pi\) |
−0.815107 | + | 0.579310i | \(0.803322\pi\) | |||||||
\(522\) | −17.8284 | − | 3.14362i | −0.780327 | − | 0.137593i | ||||
\(523\) | 24.5247 | + | 4.32437i | 1.07239 | + | 0.189092i | 0.681849 | − | 0.731493i | \(-0.261176\pi\) |
0.390543 | + | 0.920585i | \(0.372287\pi\) | |||||||
\(524\) | −6.65739 | − | 11.5309i | −0.290829 | − | 0.503731i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.5336 | − | 9.67780i | −0.502887 | − | 0.421972i | ||||
\(527\) | −4.05853 | + | 11.1507i | −0.176792 | + | 0.485733i | ||||
\(528\) | 2.25852 | + | 6.20524i | 0.0982895 | + | 0.270048i | ||||
\(529\) | 12.2088 | − | 10.2444i | 0.530817 | − | 0.445408i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.29714 | −0.0996876 | ||||||||
\(532\) | 19.1284 | + | 9.66531i | 0.829320 | + | 0.419044i | ||||
\(533\) | 61.4006i | 2.65955i | ||||||||
\(534\) | 4.34100 | + | 24.6191i | 0.187854 | + | 1.06537i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.80379 | − | 0.656525i | 0.0779118 | − | 0.0283576i | ||||
\(537\) | 3.43595 | − | 9.44020i | 0.148272 | − | 0.407375i | ||||
\(538\) | 15.7196 | − | 18.7339i | 0.677719 | − | 0.807674i | ||||
\(539\) | 24.4440 | − | 42.3383i | 1.05288 | − | 1.82364i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.80139 | + | 21.5587i | −0.163434 | + | 0.926882i | 0.787230 | + | 0.616660i | \(0.211515\pi\) |
−0.950664 | + | 0.310222i | \(0.899596\pi\) | |||||||
\(542\) | 8.81475 | + | 1.55428i | 0.378626 | + | 0.0667620i | ||||
\(543\) | −2.75072 | + | 1.58813i | −0.118045 | + | 0.0681531i | ||||
\(544\) | 1.09561 | − | 1.89766i | 0.0469741 | − | 0.0813615i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −70.3292 | − | 25.5978i | −3.00981 | − | 1.09548i | ||||
\(547\) | 1.01317 | + | 2.78367i | 0.0433202 | + | 0.119021i | 0.959466 | − | 0.281823i | \(-0.0909391\pi\) |
−0.916146 | + | 0.400844i | \(0.868717\pi\) | |||||||
\(548\) | −4.64495 | − | 5.53564i | −0.198423 | − | 0.236471i | ||||
\(549\) | 3.10135 | + | 17.5886i | 0.132362 | + | 0.750663i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −14.9435 | + | 29.5744i | −0.636617 | + | 1.25991i | ||||
\(552\) | 6.16497i | 0.262399i | ||||||||
\(553\) | 74.1943 | − | 13.0825i | 3.15506 | − | 0.556322i | ||||
\(554\) | −5.97623 | + | 5.01465i | −0.253906 | + | 0.213052i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.26632 | + | 0.824874i | 0.0961135 | + | 0.0349825i | ||||
\(557\) | −19.7784 | + | 23.5710i | −0.838038 | + | 0.998734i | 0.161891 | + | 0.986809i | \(0.448241\pi\) |
−0.999929 | + | 0.0119259i | \(0.996204\pi\) | |||||||
\(558\) | −11.1688 | − | 6.44829i | −0.472811 | − | 0.272978i | ||||
\(559\) | −5.68936 | − | 9.85426i | −0.240634 | − | 0.416791i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.51264 | − | 14.2499i | 0.106084 | − | 0.601631i | ||||
\(562\) | 15.8467 | − | 9.14912i | 0.668455 | − | 0.385933i | ||||
\(563\) | 30.7518 | + | 17.7546i | 1.29603 | + | 0.748266i | 0.979717 | − | 0.200387i | \(-0.0642201\pi\) |
0.316318 | + | 0.948653i | \(0.397553\pi\) | |||||||
\(564\) | −5.34008 | − | 4.48086i | −0.224858 | − | 0.188678i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 6.79213 | − | 2.47213i | 0.285494 | − | 0.103911i | ||||
\(567\) | −33.0991 | − | 39.4460i | −1.39003 | − | 1.65658i | ||||
\(568\) | −6.07169 | + | 1.07060i | −0.254763 | + | 0.0449215i | ||||
\(569\) | −33.0813 | −1.38684 | −0.693421 | − | 0.720533i | \(-0.743897\pi\) | ||||
−0.693421 | + | 0.720533i | \(0.743897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.29342 | 0.0959766 | 0.0479883 | − | 0.998848i | \(-0.484719\pi\) | ||||
0.0479883 | + | 0.998848i | \(0.484719\pi\) | |||||||
\(572\) | −18.3948 | + | 3.24351i | −0.769127 | + | 0.135618i | ||||
\(573\) | −20.3298 | − | 24.2282i | −0.849291 | − | 1.01215i | ||||
\(574\) | −43.2328 | + | 15.7355i | −1.80450 | + | 0.656785i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.82431 | + | 1.53078i | 0.0760129 | + | 0.0637824i | ||||
\(577\) | −13.5997 | − | 7.85178i | −0.566162 | − | 0.326874i | 0.189453 | − | 0.981890i | \(-0.439329\pi\) |
−0.755615 | + | 0.655016i | \(0.772662\pi\) | |||||||
\(578\) | 10.5642 | − | 6.09926i | 0.439414 | − | 0.253696i | ||||
\(579\) | −2.10255 | + | 11.9242i | −0.0873792 | + | 0.495552i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.22554 | − | 5.58680i | −0.133818 | − | 0.231780i | ||||
\(582\) | 4.12708 | + | 2.38277i | 0.171073 | + | 0.0987691i | ||||
\(583\) | 7.72544 | − | 9.20682i | 0.319955 | − | 0.381308i | ||||
\(584\) | 3.73719 | + | 1.36023i | 0.154646 | + | 0.0562865i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.72264 | + | 7.31917i | −0.360329 | + | 0.302352i | ||||
\(587\) | −26.1082 | + | 4.60359i | −1.07760 | + | 0.190010i | −0.684155 | − | 0.729337i | \(-0.739829\pi\) |
−0.393448 | + | 0.919347i | \(0.628718\pi\) | |||||||
\(588\) | − | 39.8411i | − | 1.64302i | ||||||
\(589\) | −17.2093 | + | 16.1568i | −0.709098 | + | 0.665728i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.15024 | − | 6.52335i | −0.0473146 | − | 0.268335i | ||||
\(592\) | 1.32576 | + | 1.57998i | 0.0544885 | + | 0.0649369i | ||||
\(593\) | 1.00184 | + | 2.75254i | 0.0411408 | + | 0.113033i | 0.958562 | − | 0.284884i | \(-0.0919552\pi\) |
−0.917421 | + | 0.397918i | \(0.869733\pi\) | |||||||
\(594\) | −3.83813 | − | 1.39697i | −0.157481 | − | 0.0573182i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.48937 | − | 6.04376i | 0.142930 | − | 0.247562i | ||||
\(597\) | −2.94244 | + | 1.69882i | −0.120426 | + | 0.0695281i | ||||
\(598\) | −17.1733 | − | 3.02812i | −0.702270 | − | 0.123829i | ||||
\(599\) | −6.43428 | + | 36.4906i | −0.262897 | + | 1.49097i | 0.512059 | + | 0.858950i | \(0.328883\pi\) |
−0.774956 | + | 0.632015i | \(0.782228\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.84799 | − | 8.39697i | 0.197754 | − | 0.342520i | −0.750046 | − | 0.661386i | \(-0.769969\pi\) |
0.947800 | + | 0.318866i | \(0.103302\pi\) | |||||||
\(602\) | 5.48045 | − | 6.53135i | 0.223367 | − | 0.266198i | ||||
\(603\) | 1.56349 | − | 4.29566i | 0.0636704 | − | 0.174933i | ||||
\(604\) | −5.35025 | + | 1.94733i | −0.217699 | + | 0.0792358i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.01803 | − | 11.4448i | −0.0819771 | − | 0.464915i | ||||
\(607\) | 38.0294i | 1.54357i | 0.635886 | + | 0.771783i | \(0.280635\pi\) | ||||
−0.635886 | + | 0.771783i | \(0.719365\pi\) | |||||||
\(608\) | 3.64766 | − | 2.38634i | 0.147932 | − | 0.0967787i | ||||
\(609\) | 86.7049 | 3.51346 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.1050 | − | 12.6746i | 0.611081 | − | 0.512758i | ||||
\(612\) | −1.78478 | − | 4.90364i | −0.0721454 | − | 0.198218i | ||||
\(613\) | −7.81429 | + | 21.4696i | −0.315616 | + | 0.867149i | 0.675880 | + | 0.737012i | \(0.263764\pi\) |
−0.991496 | + | 0.130137i | \(0.958458\pi\) | |||||||
\(614\) | 3.78649 | + | 3.17725i | 0.152810 | + | 0.128223i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.99793 | − | 12.1208i | −0.281955 | − | 0.488360i | ||||
\(617\) | 25.0606 | + | 4.41886i | 1.00890 | + | 0.177896i | 0.653588 | − | 0.756851i | \(-0.273263\pi\) |
0.355313 | + | 0.934747i | \(0.384374\pi\) | |||||||
\(618\) | −20.6407 | − | 3.63951i | −0.830291 | − | 0.146403i | ||||
\(619\) | 7.95778 | + | 13.7833i | 0.319850 | + | 0.553997i | 0.980457 | − | 0.196736i | \(-0.0630341\pi\) |
−0.660606 | + | 0.750733i | \(0.729701\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.92110 | − | 2.45110i | −0.117220 | − | 0.0983591i | ||||
\(622\) | 8.24858 | − | 22.6628i | 0.330738 | − | 0.908695i | ||||
\(623\) | −18.1217 | − | 49.7889i | −0.726030 | − | 1.99475i | ||||
\(624\) | −11.6608 | + | 9.78453i | −0.466804 | + | 0.391695i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 30.9756 | 1.23803 | ||||||||
\(627\) | 17.2450 | − | 23.0461i | 0.688698 | − | 0.920372i | ||||
\(628\) | − | 5.31383i | − | 0.212045i | ||||||
\(629\) | −0.784795 | − | 4.45079i | −0.0312918 | − | 0.177465i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.7345 | − | 6.81880i | 0.745808 | − | 0.271452i | 0.0589675 | − | 0.998260i | \(-0.481219\pi\) |
0.686841 | + | 0.726808i | \(0.258997\pi\) | |||||||
\(632\) | 5.24075 | − | 14.3988i | 0.208466 | − | 0.572755i | ||||
\(633\) | 1.95414 | − | 2.32886i | 0.0776702 | − | 0.0925637i | ||||
\(634\) | 3.45527 | − | 5.98470i | 0.137226 | − | 0.237683i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.70080 | − | 9.64574i | 0.0674413 | − | 0.382478i | ||||
\(637\) | 110.982 | + | 19.5692i | 4.39728 | + | 0.775360i | ||||
\(638\) | 18.7399 | − | 10.8195i | 0.741922 | − | 0.428349i | ||||
\(639\) | −7.34130 | + | 12.7155i | −0.290417 | + | 0.503018i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.28156 | − | 0.830421i | −0.0901163 | − | 0.0327996i | 0.296569 | − | 0.955012i | \(-0.404158\pi\) |
−0.386685 | + | 0.922212i | \(0.626380\pi\) | |||||||
\(642\) | 4.73498 | + | 13.0093i | 0.186875 | + | 0.513434i | ||||
\(643\) | −4.30313 | − | 5.12827i | −0.169699 | − | 0.202239i | 0.674492 | − | 0.738282i | \(-0.264363\pi\) |
−0.844191 | + | 0.536043i | \(0.819918\pi\) | |||||||
\(644\) | −2.26897 | − | 12.8680i | −0.0894099 | − | 0.507069i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.53651 | + | 0.532031i | −0.375209 | + | 0.0209325i | ||||
\(647\) | − | 28.2280i | − | 1.10976i | −0.831932 | − | 0.554878i | \(-0.812765\pi\) | ||
0.831932 | − | 0.554878i | \(-0.187235\pi\) | |||||||
\(648\) | −10.3139 | + | 1.81862i | −0.405168 | + | 0.0714421i | ||||
\(649\) | 2.10339 | − | 1.76495i | 0.0825652 | − | 0.0692805i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 58.0421 | + | 21.1256i | 2.27485 | + | 0.827977i | ||||
\(652\) | −2.87557 | + | 3.42697i | −0.112616 | + | 0.134210i | ||||
\(653\) | −14.7075 | − | 8.49136i | −0.575548 | − | 0.332293i | 0.183814 | − | 0.982961i | \(-0.441156\pi\) |
−0.759362 | + | 0.650668i | \(0.774489\pi\) | |||||||
\(654\) | −18.3612 | − | 31.8025i | −0.717978 | − | 1.24358i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1.62488 | + | 9.21513i | −0.0634408 | + | 0.359791i | ||||
\(657\) | 8.20228 | − | 4.73559i | 0.320002 | − | 0.184753i | ||||
\(658\) | 12.7953 | + | 7.38739i | 0.498814 | + | 0.287990i | ||||
\(659\) | 14.0188 | + | 11.7632i | 0.546095 | + | 0.458228i | 0.873616 | − | 0.486616i | \(-0.161769\pi\) |
−0.327521 | + | 0.944844i | \(0.606213\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.11150 | + | 1.86043i | −0.198814 | + | 0.0723625i | −0.439508 | − | 0.898239i | \(-0.644847\pi\) |
0.240694 | + | 0.970601i | \(0.422625\pi\) | |||||||
\(662\) | 2.68612 | + | 3.20119i | 0.104399 | + | 0.124418i | ||||
\(663\) | 32.8482 | − | 5.79203i | 1.27572 | − | 0.224944i | ||||
\(664\) | −1.31206 | −0.0509180 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.91183 | 0.190329 | ||||||||
\(667\) | 19.8952 | − | 3.50806i | 0.770344 | − | 0.135833i | ||||
\(668\) | 2.34538 | + | 2.79512i | 0.0907456 | + | 0.108146i | ||||
\(669\) | −61.3213 | + | 22.3191i | −2.37082 | + | 0.862907i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.3535 | − | 13.7222i | −0.631321 | − | 0.529741i | ||||
\(672\) | −9.87776 | − | 5.70293i | −0.381043 | − | 0.219995i | ||||
\(673\) | −25.9066 | + | 14.9572i | −0.998626 | + | 0.576557i | −0.907842 | − | 0.419313i | \(-0.862271\pi\) |
−0.0907847 | + | 0.995871i | \(0.528938\pi\) | |||||||
\(674\) | 2.98695 | − | 16.9399i | 0.115053 | − | 0.652499i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −15.0285 | − | 26.0302i | −0.578021 | − | 1.00116i | ||||
\(677\) | −27.2420 | − | 15.7282i | −1.04700 | − | 0.604483i | −0.125189 | − | 0.992133i | \(-0.539954\pi\) |
−0.921807 | + | 0.387650i | \(0.873287\pi\) | |||||||
\(678\) | −27.1463 | + | 32.3517i | −1.04255 | + | 1.24246i | ||||
\(679\) | −9.49130 | − | 3.45455i | −0.364243 | − | 0.132573i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.4738 | + | 18.8578i | −0.861199 | + | 0.722631i | ||||
\(682\) | 15.1811 | − | 2.67684i | 0.581314 | − | 0.102501i | ||||
\(683\) | − | 49.8920i | − | 1.90906i | −0.298109 | − | 0.954532i | \(-0.596356\pi\) | ||
0.298109 | − | 0.954532i | \(-0.403644\pi\) | |||||||
\(684\) | 1.23033 | − | 10.3074i | 0.0470430 | − | 0.394114i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 8.68670 | + | 49.2647i | 0.331660 | + | 1.88094i | ||||
\(687\) | 20.4941 | + | 24.4240i | 0.781900 | + | 0.931833i | ||||
\(688\) | −0.593093 | − | 1.62951i | −0.0226115 | − | 0.0621245i | ||||
\(689\) | 26.0341 | + | 9.47562i | 0.991818 | + | 0.360992i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.36370 | + | 16.2184i | −0.356212 | + | 0.616977i | −0.987325 | − | 0.158714i | \(-0.949265\pi\) |
0.631113 | + | 0.775691i | \(0.282599\pi\) | |||||||
\(692\) | 1.01872 | − | 0.588156i | 0.0387258 | − | 0.0223583i | ||||
\(693\) | −32.8243 | − | 5.78782i | −1.24689 | − | 0.219861i | ||||
\(694\) | 3.20604 | − | 18.1823i | 0.121699 | − | 0.690192i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 8.81731 | − | 15.2720i | 0.334219 | − | 0.578885i | ||||
\(697\) | 13.1797 | − | 15.7069i | 0.499217 | − | 0.594943i | ||||
\(698\) | −8.46187 | + | 23.2488i | −0.320286 | + | 0.879980i | ||||
\(699\) | −53.6650 | + | 19.5325i | −2.02980 | + | 0.738786i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.10915 | − | 17.6329i | −0.117431 | − | 0.665984i | −0.985518 | − | 0.169572i | \(-0.945761\pi\) |
0.868087 | − | 0.496412i | \(-0.165350\pi\) | |||||||
\(702\) | − | 9.41531i | − | 0.355358i | ||||||
\(703\) | 2.59952 | − | 8.60630i | 0.0980426 | − | 0.324593i | ||||
\(704\) | −2.84657 | −0.107284 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.91028 | − | 4.12021i | 0.184801 | − | 0.155066i | ||||
\(707\) | 8.42437 | + | 23.1458i | 0.316831 | + | 0.870486i | ||||
\(708\) | 0.765324 | − | 2.10271i | 0.0287627 | − | 0.0790247i | ||||
\(709\) | −20.6673 | − | 17.3419i | −0.776177 | − | 0.651290i | 0.166106 | − | 0.986108i | \(-0.446881\pi\) |
−0.942283 | + | 0.334818i | \(0.891325\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −18.2455 | − | 31.6022i | −0.684260 | − | 1.18517i | ||||
\(712\) | −10.6126 | − | 1.87128i | −0.397723 | − | 0.0701293i | ||||
\(713\) | 14.1730 | + | 2.49908i | 0.530783 | + | 0.0935913i | ||||
\(714\) | 12.4964 | + | 21.6444i | 0.467667 | + | 0.810023i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.31741 | + | 2.78364i | 0.123977 | + | 0.104029i | ||||
\(717\) | −12.9279 | + | 35.5192i | −0.482802 | + | 1.32649i | ||||
\(718\) | −12.5916 | − | 34.5952i | −0.469915 | − | 1.29108i | ||||
\(719\) | −32.4936 | + | 27.2653i | −1.21180 | + | 1.01683i | −0.212593 | + | 0.977141i | \(0.568191\pi\) |
−0.999212 | + | 0.0396842i | \(0.987365\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 44.4222 | 1.65437 | ||||||||
\(722\) | −17.4091 | − | 7.61079i | −0.647899 | − | 0.283244i | ||||
\(723\) | 44.6672i | 1.66119i | ||||||||
\(724\) | −0.237758 | − | 1.34839i | −0.00883622 | − | 0.0501127i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.31523 | − | 2.29856i | 0.234380 | − | 0.0853074i | ||||
\(727\) | 14.7217 | − | 40.4476i | 0.545999 | − | 1.50012i | −0.293068 | − | 0.956092i | \(-0.594676\pi\) |
0.839067 | − | 0.544028i | \(-0.183102\pi\) | |||||||
\(728\) | 20.7380 | − | 24.7146i | 0.768602 | − | 0.915984i | ||||
\(729\) | −7.47766 | + | 12.9517i | −0.276950 | + | 0.479692i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.659826 | + | 3.74206i | −0.0244045 | + | 0.138405i | ||||
\(732\) | −17.1331 | − | 3.02104i | −0.633259 | − | 0.111661i | ||||
\(733\) | −26.3235 | + | 15.1979i | −0.972282 | + | 0.561347i | −0.899931 | − | 0.436032i | \(-0.856383\pi\) |
−0.0723507 | + | 0.997379i | \(0.523050\pi\) | |||||||
\(734\) | −7.31190 | + | 12.6646i | −0.269887 | + | 0.467458i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.49728 | − | 0.908934i | −0.0920508 | − | 0.0335038i | ||||
\(737\) | 1.86885 | + | 5.13461i | 0.0688398 | + | 0.189136i | ||||
\(738\) | 14.3239 | + | 17.0706i | 0.527272 | + | 0.628378i | ||||
\(739\) | 6.40630 | + | 36.3319i | 0.235659 | + | 1.33649i | 0.841221 | + | 0.540692i | \(0.181838\pi\) |
−0.605561 | + | 0.795799i | \(0.707051\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 63.5171 | + | 19.1852i | 2.33336 | + | 0.704787i | ||||
\(742\) | 20.7592i | 0.762095i | ||||||||
\(743\) | −24.1976 | + | 4.26670i | −0.887725 | + | 0.156530i | −0.598873 | − | 0.800844i | \(-0.704385\pi\) |
−0.288852 | + | 0.957374i | \(0.593274\pi\) | |||||||
\(744\) | 9.62352 | − | 8.07509i | 0.352815 | − | 0.296047i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −12.7398 | − | 4.63691i | −0.466438 | − | 0.169769i | ||||
\(747\) | −2.00848 | + | 2.39361i | −0.0734865 | + | 0.0875778i | ||||
\(748\) | 5.40182 | + | 3.11874i | 0.197510 | + | 0.114033i | ||||
\(749\) | −14.6711 | − | 25.4112i | −0.536072 | − | 0.928503i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.64514 | − | 9.33008i | 0.0600322 | − | 0.340459i | −0.939967 | − | 0.341264i | \(-0.889145\pi\) |
1.00000 | 0.000804564i | \(0.000256101\pi\) | ||||||||
\(752\) | 2.60240 | − | 1.50250i | 0.0948998 | − | 0.0547904i | ||||
\(753\) | −55.7902 | − | 32.2105i | −2.03311 | − | 1.17382i | ||||
\(754\) | 38.2113 | + | 32.0631i | 1.39157 | + | 1.16767i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 6.62942 | − | 2.41291i | 0.241110 | − | 0.0877568i | ||||
\(757\) | 4.54780 | + | 5.41985i | 0.165292 | + | 0.196988i | 0.842332 | − | 0.538958i | \(-0.181182\pi\) |
−0.677040 | + | 0.735946i | \(0.736738\pi\) | |||||||
\(758\) | 29.8298 | − | 5.25979i | 1.08347 | − | 0.191044i | ||||
\(759\) | −17.5490 | −0.636990 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −45.9880 | −1.66706 | −0.833531 | − | 0.552472i | \(-0.813684\pi\) | ||||
−0.833531 | + | 0.552472i | \(0.813684\pi\) | |||||||
\(762\) | 17.4758 | − | 3.08146i | 0.633082 | − | 0.111629i | ||||
\(763\) | 50.0293 | + | 59.6227i | 1.81118 | + | 2.15849i | ||||
\(764\) | 12.8116 | − | 4.66302i | 0.463506 | − | 0.168702i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 21.9571 | + | 18.4242i | 0.793342 | + | 0.665693i | ||||
\(767\) | 5.48146 | + | 3.16472i | 0.197924 | + | 0.114272i | ||||
\(768\) | −2.00901 | + | 1.15990i | −0.0724937 | + | 0.0418543i | ||||
\(769\) | 7.83899 | − | 44.4571i | 0.282681 | − | 1.60317i | −0.430771 | − | 0.902461i | \(-0.641758\pi\) |
0.713452 | − | 0.700704i | \(-0.247131\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 15.1602 | + | 26.2582i | 0.545981 | + | 0.945667i | ||||
\(772\) | −4.52019 | − | 2.60974i | −0.162685 | − | 0.0939264i | ||||
\(773\) | 0.495905 | − | 0.590996i | 0.0178364 | − | 0.0212567i | −0.757052 | − | 0.653354i | \(-0.773361\pi\) |
0.774889 | + | 0.632097i | \(0.217806\pi\) | |||||||
\(774\) | −3.88063 | − | 1.41243i | −0.139486 | − | 0.0507689i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −1.57368 | + | 1.32047i | −0.0564918 | + | 0.0474022i | ||||
\(777\) | −23.1674 | + | 4.08504i | −0.831127 | + | 0.146550i | ||||
\(778\) | − | 17.1263i | − | 0.614007i | ||||||
\(779\) | 37.4911 | − | 16.0634i | 1.34326 | − | 0.575532i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.04755 | − | 17.2835i | −0.109050 | − | 0.618452i | ||||
\(782\) | 3.74314 | + | 4.46090i | 0.133854 | + | 0.159521i | ||||
\(783\) | 3.73061 | + |