Newspace parameters
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bj (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 523.11 | ||
Character | \(\chi\) | \(=\) | 756.523 |
Dual form | 756.2.bj.b.451.12 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.937998 | − | 1.05838i | −0.663265 | − | 0.748385i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.240318 | + | 1.98551i | −0.120159 | + | 0.992755i | ||||
\(5\) | 3.41753 | − | 1.97311i | 1.52837 | − | 0.882403i | 0.528936 | − | 0.848662i | \(-0.322591\pi\) |
0.999431 | − | 0.0337413i | \(-0.0107422\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.174185 | − | 2.64001i | 0.0658356 | − | 0.997830i | ||||
\(8\) | 2.32683 | − | 1.60806i | 0.822660 | − | 0.568534i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.29393 | − | 1.76626i | −1.67409 | − | 0.558539i | ||||
\(11\) | −4.23698 | − | 2.44622i | −1.27750 | − | 0.737563i | −0.301109 | − | 0.953590i | \(-0.597357\pi\) |
−0.976388 | + | 0.216026i | \(0.930690\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.13829 | − | 0.657191i | −0.315704 | − | 0.182272i | 0.333772 | − | 0.942654i | \(-0.391678\pi\) |
−0.649476 | + | 0.760382i | \(0.725012\pi\) | |||||||
\(14\) | −2.95751 | + | 2.29197i | −0.790427 | + | 0.612556i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.88449 | − | 0.954307i | −0.971124 | − | 0.238577i | ||||
\(17\) | −1.67931 | + | 0.969547i | −0.407291 | + | 0.235150i | −0.689625 | − | 0.724166i | \(-0.742225\pi\) |
0.282334 | + | 0.959316i | \(0.408891\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.49477 | − | 2.58902i | 0.342924 | − | 0.593962i | −0.642050 | − | 0.766662i | \(-0.721916\pi\) |
0.984974 | + | 0.172701i | \(0.0552493\pi\) | |||||||
\(20\) | 3.09634 | + | 7.25972i | 0.692363 | + | 1.62332i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.38526 | + | 6.77887i | 0.295338 | + | 1.44526i | ||||
\(23\) | −2.92226 | + | 1.68717i | −0.609333 | + | 0.351798i | −0.772704 | − | 0.634766i | \(-0.781096\pi\) |
0.163372 | + | 0.986565i | \(0.447763\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.28635 | − | 9.15623i | 1.05727 | − | 1.83125i | ||||
\(26\) | 0.372157 | + | 1.82118i | 0.0729861 | + | 0.357163i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.19991 | + | 0.980288i | 0.982690 | + | 0.185257i | ||||
\(29\) | 1.32976 | + | 2.30322i | 0.246931 | + | 0.427697i | 0.962673 | − | 0.270668i | \(-0.0872445\pi\) |
−0.715742 | + | 0.698365i | \(0.753911\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.886605 | 0.159239 | 0.0796195 | − | 0.996825i | \(-0.474629\pi\) | ||||
0.0796195 | + | 0.996825i | \(0.474629\pi\) | |||||||
\(32\) | 2.63363 | + | 5.00639i | 0.465565 | + | 0.885014i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.60133 | + | 0.867902i | 0.446125 | + | 0.148844i | ||||
\(35\) | −4.61376 | − | 9.36601i | −0.779868 | − | 1.58314i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.237205 | − | 0.410852i | 0.0389963 | − | 0.0675436i | −0.845869 | − | 0.533391i | \(-0.820917\pi\) |
0.884865 | + | 0.465848i | \(0.154251\pi\) | |||||||
\(38\) | −4.14225 | + | 0.846467i | −0.671961 | + | 0.137315i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.77915 | − | 10.0867i | 0.755649 | − | 1.59485i | ||||
\(41\) | 8.79016 | + | 5.07500i | 1.37279 | + | 0.792582i | 0.991279 | − | 0.131781i | \(-0.0420696\pi\) |
0.381514 | + | 0.924363i | \(0.375403\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.31047 | + | 1.33395i | −0.352344 | + | 0.203426i | −0.665717 | − | 0.746204i | \(-0.731874\pi\) |
0.313373 | + | 0.949630i | \(0.398541\pi\) | |||||||
\(44\) | 5.87522 | − | 7.82469i | 0.885722 | − | 1.17962i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.52673 | + | 1.51029i | 0.667430 | + | 0.222680i | ||||
\(47\) | −2.46166 | −0.359070 | −0.179535 | − | 0.983752i | \(-0.557459\pi\) | ||||
−0.179535 | + | 0.983752i | \(0.557459\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.93932 | − | 0.919699i | −0.991331 | − | 0.131386i | ||||
\(50\) | −14.6493 | + | 2.99358i | −2.07173 | + | 0.423356i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.57841 | − | 2.10215i | 0.218886 | − | 0.291515i | ||||
\(53\) | −6.34427 | − | 10.9886i | −0.871453 | − | 1.50940i | −0.860494 | − | 0.509460i | \(-0.829845\pi\) |
−0.0109585 | − | 0.999940i | \(-0.503488\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −19.3067 | −2.60331 | ||||||||
\(56\) | −3.83999 | − | 6.42296i | −0.513141 | − | 0.858305i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.19035 | − | 3.56781i | 0.156301 | − | 0.468476i | ||||
\(59\) | 6.99484 | 0.910650 | 0.455325 | − | 0.890325i | \(-0.349523\pi\) | ||||
0.455325 | + | 0.890325i | \(0.349523\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.37140i | 0.303626i | 0.988409 | + | 0.151813i | \(0.0485112\pi\) | ||||
−0.988409 | + | 0.151813i | \(0.951489\pi\) | |||||||
\(62\) | −0.831634 | − | 0.938361i | −0.105618 | − | 0.119172i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.82830 | − | 7.48336i | 0.353538 | − | 0.935420i | ||||
\(65\) | −5.18685 | −0.643349 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.39480i | 0.170402i | 0.996364 | + | 0.0852008i | \(0.0271532\pi\) | ||||
−0.996364 | + | 0.0852008i | \(0.972847\pi\) | |||||||
\(68\) | −1.52148 | − | 3.56728i | −0.184506 | − | 0.432596i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.58506 | + | 13.6684i | −0.667542 | + | 1.63369i | ||||
\(71\) | 2.15535i | 0.255793i | 0.991788 | + | 0.127896i | \(0.0408225\pi\) | ||||
−0.991788 | + | 0.127896i | \(0.959177\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.96915 | − | 2.29159i | 0.464554 | − | 0.268210i | −0.249403 | − | 0.968400i | \(-0.580234\pi\) |
0.713957 | + | 0.700189i | \(0.246901\pi\) | |||||||
\(74\) | −0.657333 | + | 0.134326i | −0.0764135 | + | 0.0156151i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.78130 | + | 3.59007i | 0.548453 | + | 0.411809i | ||||
\(77\) | −7.19607 | + | 10.7596i | −0.820068 | + | 1.22617i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 10.0544i | − | 1.13121i | −0.824675 | − | 0.565607i | \(-0.808642\pi\) | ||
0.824675 | − | 0.565607i | \(-0.191358\pi\) | |||||||
\(80\) | −15.1583 | + | 4.40317i | −1.69475 | + | 0.492289i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.87390 | − | 14.0636i | −0.317369 | − | 1.55307i | ||||
\(83\) | −1.29635 | − | 2.24535i | −0.142293 | − | 0.246459i | 0.786067 | − | 0.618142i | \(-0.212114\pi\) |
−0.928360 | + | 0.371683i | \(0.878781\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.82605 | + | 6.62692i | −0.414994 | + | 0.718790i | ||||
\(86\) | 3.57904 | + | 1.19410i | 0.385938 | + | 0.128763i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.7924 | + | 1.12136i | −1.47028 | + | 0.119537i | ||||
\(89\) | 11.6706 | + | 6.73801i | 1.23708 | + | 0.714227i | 0.968496 | − | 0.249029i | \(-0.0801115\pi\) |
0.268582 | + | 0.963257i | \(0.413445\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.93326 | + | 2.89062i | −0.202661 | + | 0.303019i | ||||
\(92\) | −2.64761 | − | 6.20762i | −0.276033 | − | 0.647190i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.30903 | + | 2.60536i | 0.238158 | + | 0.268722i | ||||
\(95\) | − | 11.7974i | − | 1.21039i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.88401 | + | 1.08773i | −0.191292 | + | 0.110442i | −0.592587 | − | 0.805506i | \(-0.701893\pi\) |
0.401295 | + | 0.915949i | \(0.368560\pi\) | |||||||
\(98\) | 5.53568 | + | 8.20708i | 0.559188 | + | 0.829041i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 16.9094 | + | 12.6965i | 1.69094 | + | 1.26965i | ||||
\(101\) | 0.618126 | + | 0.356875i | 0.0615058 | + | 0.0355104i | 0.530438 | − | 0.847724i | \(-0.322028\pi\) |
−0.468932 | + | 0.883234i | \(0.655361\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.582342 | − | 1.00865i | −0.0573798 | − | 0.0993848i | 0.835909 | − | 0.548869i | \(-0.184941\pi\) |
−0.893288 | + | 0.449484i | \(0.851608\pi\) | |||||||
\(104\) | −3.70541 | + | 0.301260i | −0.363345 | + | 0.0295409i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.67915 | + | 17.0219i | −0.551608 | + | 1.65331i | ||||
\(107\) | 10.5529 | + | 6.09270i | 1.02018 | + | 0.589004i | 0.914157 | − | 0.405360i | \(-0.132854\pi\) |
0.106027 | + | 0.994363i | \(0.466187\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.74875 | − | 8.22508i | −0.454848 | − | 0.787820i | 0.543832 | − | 0.839194i | \(-0.316973\pi\) |
−0.998679 | + | 0.0513747i | \(0.983640\pi\) | |||||||
\(110\) | 18.1096 | + | 20.4337i | 1.72669 | + | 1.94828i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.19600 | + | 10.0889i | −0.301994 | + | 0.953310i | ||||
\(113\) | 6.24802 | − | 10.8219i | 0.587764 | − | 1.01804i | −0.406761 | − | 0.913535i | \(-0.633342\pi\) |
0.994525 | − | 0.104502i | \(-0.0333250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.65794 | + | 11.5319i | −0.620856 | + | 1.07535i | ||||
\(116\) | −4.89263 | + | 2.08675i | −0.454269 | + | 0.193750i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.56115 | − | 7.40317i | −0.604003 | − | 0.681517i | ||||
\(119\) | 2.26711 | + | 4.60227i | 0.207825 | + | 0.421889i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.46799 | + | 11.2029i | 0.587999 | + | 1.01844i | ||||
\(122\) | 2.50983 | − | 2.22437i | 0.227229 | − | 0.201385i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.213067 | + | 1.76036i | −0.0191340 | + | 0.158085i | ||||
\(125\) | − | 21.9911i | − | 1.96695i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.01418i | 0.533672i | 0.963742 | + | 0.266836i | \(0.0859782\pi\) | ||||
−0.963742 | + | 0.266836i | \(0.914022\pi\) | |||||||
\(128\) | −10.5732 | + | 4.02598i | −0.934543 | + | 0.355850i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.86525 | + | 5.48963i | 0.426711 | + | 0.481473i | ||||
\(131\) | −0.999291 | − | 1.73082i | −0.0873085 | − | 0.151223i | 0.819064 | − | 0.573702i | \(-0.194493\pi\) |
−0.906373 | + | 0.422479i | \(0.861160\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.57467 | − | 4.39718i | −0.570097 | − | 0.381284i | ||||
\(134\) | 1.47622 | − | 1.30832i | 0.127526 | − | 0.113021i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.34837 | + | 4.95639i | −0.201371 | + | 0.425007i | ||||
\(137\) | 5.03081 | − | 8.71362i | 0.429811 | − | 0.744455i | −0.567045 | − | 0.823687i | \(-0.691913\pi\) |
0.996856 | + | 0.0792320i | \(0.0252468\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.02010 | − | 13.8912i | 0.680256 | − | 1.17824i | −0.294647 | − | 0.955606i | \(-0.595202\pi\) |
0.974903 | − | 0.222631i | \(-0.0714646\pi\) | |||||||
\(140\) | 19.7051 | − | 6.90984i | 1.66538 | − | 0.583988i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.28117 | − | 2.02171i | 0.191431 | − | 0.169658i | ||||
\(143\) | 3.21527 | + | 5.56901i | 0.268874 | + | 0.465704i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.08903 | + | 5.24755i | 0.754803 | + | 0.435785i | ||||
\(146\) | −6.14842 | − | 2.05135i | −0.508847 | − | 0.169771i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.758745 | + | 0.569708i | 0.0623684 | + | 0.0468297i | ||||
\(149\) | 4.84527 | + | 8.39226i | 0.396940 | + | 0.687521i | 0.993347 | − | 0.115162i | \(-0.0367387\pi\) |
−0.596406 | + | 0.802683i | \(0.703405\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.3307 | + | 8.27382i | 1.16621 | + | 0.673314i | 0.952785 | − | 0.303645i | \(-0.0982037\pi\) |
0.213428 | + | 0.976959i | \(0.431537\pi\) | |||||||
\(152\) | −0.685211 | − | 8.42789i | −0.0555779 | − | 0.683592i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 18.1376 | − | 2.47632i | 1.46157 | − | 0.199548i | ||||
\(155\) | 3.03000 | − | 1.74937i | 0.243375 | − | 0.140513i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 13.0987i | − | 1.04539i | −0.852519 | − | 0.522696i | \(-0.824926\pi\) | ||
0.852519 | − | 0.522696i | \(-0.175074\pi\) | |||||||
\(158\) | −10.6414 | + | 9.43106i | −0.846583 | + | 0.750295i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 18.8787 | + | 11.9131i | 1.49249 | + | 0.941809i | ||||
\(161\) | 3.94512 | + | 8.00867i | 0.310919 | + | 0.631172i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.95666 | + | 4.01643i | 0.544888 | + | 0.314591i | 0.747057 | − | 0.664759i | \(-0.231466\pi\) |
−0.202170 | + | 0.979350i | \(0.564799\pi\) | |||||||
\(164\) | −12.1889 | + | 16.2333i | −0.951793 | + | 1.26761i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.16044 | + | 3.47816i | −0.0900680 | + | 0.269957i | ||||
\(167\) | 4.83680 | − | 8.37758i | 0.374283 | − | 0.648277i | −0.615937 | − | 0.787796i | \(-0.711222\pi\) |
0.990219 | + | 0.139519i | \(0.0445556\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.63620 | − | 9.76219i | −0.433554 | − | 0.750937i | ||||
\(170\) | 10.6026 | − | 2.16664i | 0.813182 | − | 0.166173i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.09333 | − | 4.90804i | −0.159615 | − | 0.374234i | ||||
\(173\) | − | 16.3879i | − | 1.24595i | −0.782242 | − | 0.622974i | \(-0.785924\pi\) | ||
0.782242 | − | 0.622974i | \(-0.214076\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −23.2517 | − | 15.5509i | −1.75767 | − | 1.17554i | ||||
\(176\) | 14.1241 | + | 13.5457i | 1.06464 | + | 1.02105i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.81563 | − | 18.6721i | −0.285994 | − | 1.39953i | ||||
\(179\) | −16.0572 | + | 9.27065i | −1.20017 | + | 0.692921i | −0.960594 | − | 0.277955i | \(-0.910343\pi\) |
−0.239581 | + | 0.970876i | \(0.577010\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.0045i | 1.70991i | 0.518700 | + | 0.854956i | \(0.326416\pi\) | ||||
−0.518700 | + | 0.854956i | \(0.673584\pi\) | |||||||
\(182\) | 4.87276 | − | 0.665278i | 0.361193 | − | 0.0493137i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.08654 | + | 8.62491i | −0.301264 | + | 0.635837i | ||||
\(185\) | − | 1.87213i | − | 0.137642i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.48691 | 0.693751 | ||||||||
\(188\) | 0.591581 | − | 4.88764i | 0.0431455 | − | 0.356468i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.4861 | + | 11.0660i | −0.905836 | + | 0.802808i | ||||
\(191\) | − | 3.94412i | − | 0.285386i | −0.989767 | − | 0.142693i | \(-0.954424\pi\) | ||
0.989767 | − | 0.142693i | \(-0.0455762\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.75001 | 0.413895 | 0.206947 | − | 0.978352i | \(-0.433647\pi\) | ||||
0.206947 | + | 0.978352i | \(0.433647\pi\) | |||||||
\(194\) | 2.91842 | + | 0.973695i | 0.209530 | + | 0.0699073i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.49371 | − | 13.5571i | 0.249551 | − | 0.968362i | ||||
\(197\) | 16.6012 | 1.18279 | 0.591393 | − | 0.806384i | \(-0.298578\pi\) | ||||
0.591393 | + | 0.806384i | \(0.298578\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.23391 | + | 10.7974i | 0.441910 | + | 0.765411i | 0.997831 | − | 0.0658244i | \(-0.0209677\pi\) |
−0.555921 | + | 0.831235i | \(0.687634\pi\) | |||||||
\(200\) | −2.42329 | − | 29.8058i | −0.171352 | − | 2.10759i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.202093 | − | 0.988957i | −0.0142192 | − | 0.0695828i | ||||
\(203\) | 6.31215 | − | 3.10941i | 0.443026 | − | 0.218238i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 40.0542 | 2.79751 | ||||||||
\(206\) | −0.521290 | + | 1.56244i | −0.0363200 | + | 0.108861i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.79451 | + | 3.63913i | 0.263102 | + | 0.252328i | ||||
\(209\) | −12.6666 | + | 7.31308i | −0.876169 | + | 0.505856i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.4166 | + | 11.2102i | 1.33669 | + | 0.771739i | 0.986315 | − | 0.164870i | \(-0.0527205\pi\) |
0.350376 | + | 0.936609i | \(0.386054\pi\) | |||||||
\(212\) | 23.3426 | − | 9.95585i | 1.60318 | − | 0.683771i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.45021 | − | 16.8838i | −0.235851 | − | 1.15416i | ||||
\(215\) | −5.26408 | + | 9.11765i | −0.359007 | + | 0.621819i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.154433 | − | 2.34065i | 0.0104836 | − | 0.158893i | ||||
\(218\) | −4.25090 | + | 12.7411i | −0.287907 | + | 0.862934i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.63974 | − | 38.3336i | 0.312811 | − | 2.58445i | ||||
\(221\) | 2.54871 | 0.171445 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.48502 | + | 7.76829i | 0.300339 | + | 0.520203i | 0.976213 | − | 0.216815i | \(-0.0695668\pi\) |
−0.675873 | + | 0.737018i | \(0.736233\pi\) | |||||||
\(224\) | 13.6757 | − | 6.08079i | 0.913744 | − | 0.406290i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −17.3142 | + | 3.53816i | −1.15173 | + | 0.235355i | ||||
\(227\) | 3.89688 | − | 6.74960i | 0.258645 | − | 0.447987i | −0.707234 | − | 0.706980i | \(-0.750057\pi\) |
0.965879 | + | 0.258993i | \(0.0833906\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.88977 | + | 3.40046i | −0.389207 | + | 0.224709i | −0.681816 | − | 0.731523i | \(-0.738810\pi\) |
0.292610 | + | 0.956232i | \(0.405476\pi\) | |||||||
\(230\) | 18.4502 | − | 3.77029i | 1.21657 | − | 0.248606i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.79785 | + | 3.22087i | 0.446301 | + | 0.211460i | ||||
\(233\) | −8.45700 | + | 14.6480i | −0.554037 | + | 0.959619i | 0.443941 | + | 0.896056i | \(0.353580\pi\) |
−0.997978 | + | 0.0635635i | \(0.979753\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.41279 | + | 4.85713i | −0.548790 | + | 0.316844i | ||||
\(236\) | −1.68099 | + | 13.8883i | −0.109423 | + | 0.904052i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.74438 | − | 6.71637i | 0.177892 | − | 0.435357i | ||||
\(239\) | 16.8495 | + | 9.72804i | 1.08990 | + | 0.629254i | 0.933550 | − | 0.358447i | \(-0.116694\pi\) |
0.156351 | + | 0.987702i | \(0.450027\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.4013 | − | 11.7787i | −1.31417 | − | 0.758734i | −0.331382 | − | 0.943497i | \(-0.607515\pi\) |
−0.982783 | + | 0.184763i | \(0.940848\pi\) | |||||||
\(242\) | 5.78990 | − | 17.3539i | 0.372189 | − | 1.11555i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.70843 | − | 0.569889i | −0.301426 | − | 0.0364834i | ||||
\(245\) | −25.5300 | + | 10.5490i | −1.63105 | + | 0.673948i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.40296 | + | 1.96470i | −0.216525 | + | 0.125011i | ||||
\(248\) | 2.06298 | − | 1.42571i | 0.130999 | − | 0.0905328i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −23.2749 | + | 20.6276i | −1.47203 | + | 1.30461i | ||||
\(251\) | 4.53190 | 0.286051 | 0.143026 | − | 0.989719i | \(-0.454317\pi\) | ||||
0.143026 | + | 0.989719i | \(0.454317\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.5087 | 1.03789 | ||||||||
\(254\) | 6.36526 | − | 5.64129i | 0.399392 | − | 0.353966i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.1786 | + | 7.41400i | 0.886162 | + | 0.463375i | ||||
\(257\) | −20.6842 | + | 11.9420i | −1.29025 | + | 0.744924i | −0.978698 | − | 0.205306i | \(-0.934181\pi\) |
−0.311549 | + | 0.950230i | \(0.600848\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.04334 | − | 0.697789i | −0.0648297 | − | 0.0433585i | ||||
\(260\) | 1.24649 | − | 10.2985i | 0.0773042 | − | 0.638688i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.894528 | + | 2.68113i | −0.0552641 | + | 0.165641i | ||||
\(263\) | 23.5572 | + | 13.6008i | 1.45260 | + | 0.838660i | 0.998628 | − | 0.0523561i | \(-0.0166731\pi\) |
0.453972 | + | 0.891016i | \(0.350006\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −43.3635 | − | 25.0359i | −2.66380 | − | 1.53794i | ||||
\(266\) | 1.51317 | + | 11.0830i | 0.0927781 | + | 0.679544i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.76938 | − | 0.335195i | −0.169167 | − | 0.0204753i | ||||
\(269\) | −15.8637 | + | 9.15891i | −0.967227 | + | 0.558429i | −0.898390 | − | 0.439199i | \(-0.855262\pi\) |
−0.0688372 | + | 0.997628i | \(0.521929\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.772505 | − | 1.33802i | 0.0469264 | − | 0.0812788i | −0.841608 | − | 0.540089i | \(-0.818391\pi\) |
0.888535 | + | 0.458810i | \(0.151724\pi\) | |||||||
\(272\) | 7.44850 | − | 2.16363i | 0.451632 | − | 0.131189i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −13.9412 | + | 2.84887i | −0.842217 | + | 0.172107i | ||||
\(275\) | −44.7963 | + | 25.8632i | −2.70132 | + | 1.55961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.243046 | + | 0.420968i | −0.0146032 | + | 0.0252935i | −0.873235 | − | 0.487300i | \(-0.837982\pi\) |
0.858631 | + | 0.512593i | \(0.171315\pi\) | |||||||
\(278\) | −22.2250 | + | 4.54166i | −1.33296 | + | 0.272391i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −25.7965 | − | 14.3739i | −1.54164 | − | 0.859007i | ||||
\(281\) | 13.1672 | + | 22.8062i | 0.785489 | + | 1.36051i | 0.928707 | + | 0.370815i | \(0.120922\pi\) |
−0.143218 | + | 0.989691i | \(0.545745\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.1770 | −1.02107 | −0.510533 | − | 0.859858i | \(-0.670552\pi\) | ||||
−0.510533 | + | 0.859858i | \(0.670552\pi\) | |||||||
\(284\) | −4.27947 | − | 0.517969i | −0.253940 | − | 0.0307358i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.87818 | − | 8.62668i | 0.170191 | − | 0.510106i | ||||
\(287\) | 14.9292 | − | 22.3221i | 0.881241 | − | 1.31763i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.61996 | + | 11.4661i | −0.389409 | + | 0.674476i | ||||
\(290\) | −2.97161 | − | 14.5418i | −0.174499 | − | 0.853924i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.59612 | + | 8.43150i | 0.210447 | + | 0.493416i | ||||
\(293\) | −21.5170 | − | 12.4229i | −1.25704 | − | 0.725751i | −0.284540 | − | 0.958664i | \(-0.591841\pi\) |
−0.972498 | + | 0.232913i | \(0.925174\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 23.9051 | − | 13.8016i | 1.39181 | − | 0.803561i | ||||
\(296\) | −0.108736 | − | 1.33742i | −0.00632016 | − | 0.0777361i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.33730 | − | 13.0000i | 0.251253 | − | 0.753072i | ||||
\(299\) | 4.43516 | 0.256492 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.11920 | + | 6.33203i | 0.179788 | + | 0.364972i | ||||
\(302\) | −4.68534 | − | 22.9281i | −0.269611 | − | 1.31936i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.27715 | + | 8.63056i | −0.474727 | + | 0.494997i | ||||
\(305\) | 4.67903 | + | 8.10432i | 0.267921 | + | 0.464052i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.0881 | 1.83136 | 0.915682 | − | 0.401904i | \(-0.131652\pi\) | ||||
0.915682 | + | 0.401904i | \(0.131652\pi\) | |||||||
\(308\) | −19.6339 | − | 16.8736i | −1.11874 | − | 0.961461i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.69363 | − | 1.56597i | −0.266580 | − | 0.0889412i | ||||
\(311\) | −13.0485 | −0.739915 | −0.369957 | − | 0.929049i | \(-0.620628\pi\) | ||||
−0.369957 | + | 0.929049i | \(0.620628\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.3212i | 0.752960i | 0.926425 | + | 0.376480i | \(0.122866\pi\) | ||||
−0.926425 | + | 0.376480i | \(0.877134\pi\) | |||||||
\(314\) | −13.8634 | + | 12.2866i | −0.782355 | + | 0.693371i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.9632 | + | 2.41627i | 1.12302 | + | 0.135926i | ||||
\(317\) | 19.6535 | 1.10385 | 0.551927 | − | 0.833893i | \(-0.313893\pi\) | ||||
0.551927 | + | 0.833893i | \(0.313893\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 13.0116i | − | 0.728509i | ||||||
\(320\) | −5.09971 | − | 31.1552i | −0.285083 | − | 1.74163i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.77566 | − | 11.6875i | 0.266137 | − | 0.651321i | ||||
\(323\) | 5.79701i | 0.322554i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.0348 | + | 6.94828i | −0.667569 | + | 0.385421i | ||||
\(326\) | −2.27444 | − | 11.1302i | −0.125970 | − | 0.616443i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 28.6141 | − | 2.32641i | 1.57995 | − | 0.128454i | ||||
\(329\) | −0.428783 | + | 6.49880i | −0.0236396 | + | 0.358291i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.4064i | 0.791847i | 0.918283 | + | 0.395924i | \(0.129575\pi\) | ||||
−0.918283 | + | 0.395924i | \(0.870425\pi\) | |||||||
\(332\) | 4.76969 | − | 2.03432i | 0.261771 | − | 0.111648i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.4035 | + | 2.73901i | −0.733409 | + | 0.149872i | ||||
\(335\) | 2.75209 | + | 4.76677i | 0.150363 | + | 0.260436i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.489878 | + | 0.848494i | −0.0266854 | + | 0.0462204i | −0.879060 | − | 0.476712i | \(-0.841829\pi\) |
0.852374 | + | 0.522932i | \(0.175162\pi\) | |||||||
\(338\) | −5.04531 | + | 15.1221i | −0.274429 | + | 0.822536i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −12.2383 | − | 9.18923i | −0.663717 | − | 0.498356i | ||||
\(341\) | −3.75652 | − | 2.16883i | −0.203427 | − | 0.117449i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.63674 | + | 18.1597i | −0.196365 | + | 0.980531i | ||||
\(344\) | −3.23101 | + | 6.81926i | −0.174204 | + | 0.367670i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.3445 | + | 15.3718i | −0.932448 | + | 0.826394i | ||||
\(347\) | 27.4334i | 1.47270i | 0.676600 | + | 0.736351i | \(0.263453\pi\) | ||||
−0.676600 | + | 0.736351i | \(0.736547\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.0352 | − | 7.52589i | 0.697760 | − | 0.402852i | −0.108753 | − | 0.994069i | \(-0.534686\pi\) |
0.806512 | + | 0.591217i | \(0.201352\pi\) | |||||||
\(350\) | 5.35140 | + | 39.1958i | 0.286045 | + | 2.09510i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.08809 | − | 27.6544i | 0.0579955 | − | 1.47399i | ||||
\(353\) | −16.0275 | − | 9.25348i | −0.853058 | − | 0.492513i | 0.00862373 | − | 0.999963i | \(-0.497255\pi\) |
−0.861681 | + | 0.507450i | \(0.830588\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.25275 | + | 7.36598i | 0.225712 | + | 0.390945i | ||||
\(356\) | −16.1830 | + | 21.5528i | −0.857699 | + | 1.14229i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 24.8735 | + | 8.29874i | 1.31461 | + | 0.438602i | ||||
\(359\) | 5.04854 | + | 2.91478i | 0.266452 | + | 0.153836i | 0.627274 | − | 0.778799i | \(-0.284171\pi\) |
−0.360822 | + | 0.932635i | \(0.617504\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.03132 | + | 8.71450i | 0.264806 | + | 0.458658i | ||||
\(362\) | 24.3474 | − | 21.5782i | 1.27967 | − | 1.13413i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.27475 | − | 4.53318i | −0.276472 | − | 0.237603i | ||||
\(365\) | 9.04313 | − | 15.6632i | 0.473339 | − | 0.819848i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.903984 | − | 1.56575i | 0.0471876 | − | 0.0817313i | −0.841467 | − | 0.540309i | \(-0.818307\pi\) |
0.888654 | + | 0.458577i | \(0.151641\pi\) | |||||||
\(368\) | 12.9616 | − | 3.76505i | 0.675668 | − | 0.196267i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.98142 | + | 1.75606i | −0.103009 | + | 0.0912930i | ||||
\(371\) | −30.1151 | + | 14.8349i | −1.56350 | + | 0.770190i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.97957 | + | 5.16077i | 0.154276 | + | 0.267214i | 0.932795 | − | 0.360407i | \(-0.117362\pi\) |
−0.778519 | + | 0.627621i | \(0.784029\pi\) | |||||||
\(374\) | −8.89870 | − | 10.0407i | −0.460141 | − | 0.519193i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.72787 | + | 3.95849i | −0.295392 | + | 0.204143i | ||||
\(377\) | − | 3.49564i | − | 0.180034i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 16.5311i | − | 0.849146i | −0.905394 | − | 0.424573i | \(-0.860424\pi\) | ||
0.905394 | − | 0.424573i | \(-0.139576\pi\) | |||||||
\(380\) | 23.4239 | + | 2.83513i | 1.20162 | + | 0.145439i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.17436 | + | 3.69957i | −0.213579 | + | 0.189287i | ||||
\(383\) | −1.64900 | − | 2.85616i | −0.0842601 | − | 0.145943i | 0.820816 | − | 0.571193i | \(-0.193519\pi\) |
−0.905076 | + | 0.425250i | \(0.860186\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.36293 | + | 50.9698i | −0.171391 | + | 2.59766i | ||||
\(386\) | −5.39350 | − | 6.08567i | −0.274522 | − | 0.309753i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.70694 | − | 4.00211i | −0.0866567 | − | 0.203176i | ||||
\(389\) | 4.82441 | − | 8.35612i | 0.244607 | − | 0.423672i | −0.717414 | − | 0.696647i | \(-0.754674\pi\) |
0.962021 | + | 0.272975i | \(0.0880076\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.27157 | − | 5.66653i | 0.165451 | − | 0.286569i | ||||
\(392\) | −17.6256 | + | 9.01884i | −0.890225 | + | 0.455520i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.5719 | − | 17.5703i | −0.784500 | − | 0.885178i | ||||
\(395\) | −19.8386 | − | 34.3614i | −0.998186 | − | 1.72891i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.22184 | − | 1.86013i | −0.161700 | − | 0.0933573i | 0.416967 | − | 0.908922i | \(-0.363093\pi\) |
−0.578666 | + | 0.815565i | \(0.696427\pi\) | |||||||
\(398\) | 5.58036 | − | 16.7258i | 0.279718 | − | 0.838389i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −29.2727 | + | 30.5225i | −1.46363 | + | 1.52613i | ||||
\(401\) | −11.9860 | − | 20.7604i | −0.598553 | − | 1.03672i | −0.993035 | − | 0.117821i | \(-0.962409\pi\) |
0.394482 | − | 0.918904i | \(-0.370924\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.00921 | − | 0.582668i | −0.0502724 | − | 0.0290248i | ||||
\(404\) | −0.857125 | + | 1.14153i | −0.0426436 | + | 0.0567933i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.21171 | − | 3.76401i | −0.457169 | − | 0.186805i | ||||
\(407\) | −2.01007 | + | 1.16051i | −0.0996353 | + | 0.0575245i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.1550i | 1.09549i | 0.836644 | + | 0.547747i | \(0.184514\pi\) | ||||
−0.836644 | + | 0.547747i | \(0.815486\pi\) | |||||||
\(410\) | −37.5708 | − | 42.3924i | −1.85549 | − | 2.09361i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.14262 | − | 0.913849i | 0.105559 | − | 0.0450221i | ||||
\(413\) | 1.21839 | − | 18.4665i | 0.0599532 | − | 0.908675i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.86064 | − | 5.11570i | −0.434952 | − | 0.251120i | ||||
\(416\) | 0.292322 | − | 7.42952i | 0.0143323 | − | 0.364262i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 19.6213 | + | 6.54639i | 0.959707 | + | 0.320194i | ||||
\(419\) | 17.6835 | − | 30.6287i | 0.863895 | − | 1.49631i | −0.00424524 | − | 0.999991i | \(-0.501351\pi\) |
0.868140 | − | 0.496319i | \(-0.165315\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.4856 | − | 26.8219i | −0.754723 | − | 1.30722i | −0.945512 | − | 0.325588i | \(-0.894438\pi\) |
0.190788 | − | 0.981631i | \(-0.438896\pi\) | |||||||
\(422\) | −6.34815 | − | 31.0651i | −0.309023 | − | 1.51223i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −32.4324 | − | 15.3667i | −1.57505 | − | 0.746272i | ||||
\(425\) | 20.5015i | 0.994467i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.26051 | + | 0.413061i | 0.302967 | + | 0.0199894i | ||||
\(428\) | −14.6332 | + | 19.4886i | −0.707321 | + | 0.942019i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.5876 | − | 2.98097i | 0.703476 | − | 0.143755i | ||||
\(431\) | −4.22345 | + | 2.43841i | −0.203437 | + | 0.117454i | −0.598257 | − | 0.801304i | \(-0.704140\pi\) |
0.394821 | + | 0.918758i | \(0.370807\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.0744i | 0.628314i | 0.949371 | + | 0.314157i | \(0.101722\pi\) | ||||
−0.949371 | + | 0.314157i | \(0.898278\pi\) | |||||||
\(434\) | −2.62214 | + | 2.03207i | −0.125867 | + | 0.0975427i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.4722 | − | 7.45206i | 0.836766 | − | 0.356889i | ||||
\(437\) | 10.0877i | 0.482560i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.91733 | 0.0915094 | 0.0457547 | − | 0.998953i | \(-0.485431\pi\) | ||||
0.0457547 | + | 0.998953i | \(0.485431\pi\) | |||||||
\(440\) | −44.9234 | + | 31.0463i | −2.14164 | + | 1.48007i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.39069 | − | 2.69749i | −0.113713 | − | 0.128307i | ||||
\(443\) | − | 21.2905i | − | 1.01154i | −0.862668 | − | 0.505770i | \(-0.831208\pi\) | ||
0.862668 | − | 0.505770i | \(-0.168792\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 53.1794 | 2.52095 | ||||||||
\(446\) | 4.01482 | − | 12.0335i | 0.190107 | − | 0.569802i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −19.2635 | − | 8.77023i | −0.910116 | − | 0.414355i | ||||
\(449\) | −5.99969 | −0.283143 | −0.141572 | − | 0.989928i | \(-0.545216\pi\) | ||||
−0.141572 | + | 0.989928i | \(0.545216\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −24.8291 | − | 43.0053i | −1.16916 | − | 2.02504i | ||||
\(452\) | 19.9854 | + | 15.0062i | 0.940036 | + | 0.705832i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.7989 | + | 2.20675i | −0.506817 | + | 0.103568i | ||||
\(455\) | −0.903469 | + | 13.6933i | −0.0423553 | + | 0.641953i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.3351 | −1.18513 | −0.592563 | − | 0.805524i | \(-0.701884\pi\) | ||||
−0.592563 | + | 0.805524i | \(0.701884\pi\) | |||||||
\(458\) | 9.12356 | + | 3.04396i | 0.426316 | + | 0.142235i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −21.2966 | − | 15.9907i | −0.992961 | − | 0.745571i | ||||
\(461\) | 17.3693 | − | 10.0282i | 0.808970 | − | 0.467059i | −0.0376278 | − | 0.999292i | \(-0.511980\pi\) |
0.846598 | + | 0.532233i | \(0.178647\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −33.2880 | − | 19.2188i | −1.54702 | − | 0.893175i | −0.998367 | − | 0.0571279i | \(-0.981806\pi\) |
−0.548658 | − | 0.836047i | \(-0.684861\pi\) | |||||||
\(464\) | −2.96748 | − | 10.2158i | −0.137762 | − | 0.474259i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.4357 | − | 4.78907i | 1.08564 | − | 0.221850i | ||||
\(467\) | 16.3595 | − | 28.3355i | 0.757028 | − | 1.31121i | −0.187332 | − | 0.982297i | \(-0.559984\pi\) |
0.944360 | − | 0.328914i | \(-0.106683\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.68228 | + | 0.242952i | 0.170032 | + | 0.0112185i | ||||
\(470\) | 13.0319 | + | 4.34792i | 0.601115 | + | 0.200554i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 16.2758 | − | 11.2481i | 0.749155 | − | 0.517736i | ||||
\(473\) | 13.0526 | 0.600158 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −15.8038 | − | 27.3729i | −0.725126 | − | 1.25596i | ||||
\(476\) | −9.68267 | + | 3.39535i | −0.443804 | + | 0.155626i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.50884 | − | 26.9579i | −0.251969 | − | 1.23303i | ||||
\(479\) | −18.3983 | + | 31.8668i | −0.840639 | + | 1.45603i | 0.0487157 | + | 0.998813i | \(0.484487\pi\) |
−0.889355 | + | 0.457217i | \(0.848846\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.540016 | + | 0.311778i | −0.0246226 | + | 0.0142159i | ||||
\(482\) | 6.67011 | + | 32.6407i | 0.303815 | + | 1.48674i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −23.7978 | + | 10.1500i | −1.08172 | + | 0.461363i | ||||
\(485\) | −4.29243 | + | 7.43471i | −0.194909 | + | 0.337593i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.93075 | + | 2.26942i | −0.178119 | + | 0.102837i | −0.586409 | − | 0.810015i | \(-0.699459\pi\) |
0.408289 | + | 0.912853i | \(0.366125\pi\) | |||||||
\(488\) | 3.81334 | + | 5.51784i | 0.172622 | + | 0.249781i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 35.1119 | + | 17.1254i | 1.58619 | + | 0.773648i | ||||
\(491\) | 10.6660 | + | 6.15804i | 0.481351 | + | 0.277908i | 0.720980 | − | 0.692956i | \(-0.243692\pi\) |
−0.239628 | + | 0.970865i | \(0.577025\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.46616 | − | 2.57854i | −0.201146 | − | 0.116132i | ||||
\(494\) | 5.27136 | + | 1.75872i | 0.237170 | + | 0.0791288i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.44401 | − | 0.846093i | −0.154641 | − | 0.0379907i | ||||
\(497\) | 5.69015 | + | 0.375429i | 0.255238 | + | 0.0168403i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.2164 | + | 6.47580i | −0.502115 | + | 0.289896i | −0.729587 | − | 0.683888i | \(-0.760288\pi\) |
0.227471 | + | 0.973785i | \(0.426954\pi\) | |||||||
\(500\) | 43.6636 | + | 5.28487i | 1.95270 | + | 0.236346i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.25092 | − | 4.79645i | −0.189728 | − | 0.214076i | ||||
\(503\) | −20.4872 | −0.913480 | −0.456740 | − | 0.889600i | \(-0.650983\pi\) | ||||
−0.456740 | + | 0.889600i | \(0.650983\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.81662 | 0.125338 | ||||||||
\(506\) | −15.4852 | − | 17.4724i | −0.688399 | − | 0.776744i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.9412 | − | 1.44532i | −0.529806 | − | 0.0641255i | ||||
\(509\) | 24.6392 | − | 14.2255i | 1.09211 | − | 0.630533i | 0.157976 | − | 0.987443i | \(-0.449503\pi\) |
0.934139 | + | 0.356910i | \(0.116170\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.35846 | − | 10.8778i | −0.237044 | − | 0.481204i | ||||
\(512\) | −5.45270 | − | 21.9606i | −0.240977 | − | 0.970531i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 32.0409 | + | 10.6901i | 1.41327 | + | 0.471519i | ||||
\(515\) | −3.98034 | − | 2.29805i | −0.175395 | − | 0.101264i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.4300 | + | 6.02176i | 0.458710 | + | 0.264837i | ||||
\(518\) | 0.240124 | + | 1.75877i | 0.0105505 | + | 0.0772757i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.0689 | + | 8.34075i | −0.529257 | + | 0.365766i | ||||
\(521\) | −32.0751 | + | 18.5186i | −1.40524 | + | 0.811314i | −0.994924 | − | 0.100630i | \(-0.967914\pi\) |
−0.410314 | + | 0.911944i | \(0.634581\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.33168 | − | 4.03859i | 0.101957 | − | 0.176595i | −0.810534 | − | 0.585692i | \(-0.800823\pi\) |
0.912491 | + | 0.409097i | \(0.134156\pi\) | |||||||
\(524\) | 3.67671 | − | 1.56815i | 0.160618 | − | 0.0685051i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.70192 | − | 37.6899i | −0.335820 | − | 1.64336i | ||||
\(527\) | −1.48888 | + | 0.859605i | −0.0648566 | + | 0.0374450i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.80694 | + | 10.0579i | −0.252476 | + | 0.437301i | ||||
\(530\) | 14.1775 | + | 69.3785i | 0.615830 | + | 3.01361i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.3107 | − | 11.9974i | 0.447024 | − | 0.520151i | ||||
\(533\) | −6.67049 | − | 11.5536i | −0.288931 | − | 0.500443i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 48.0864 | 2.07895 | ||||||||
\(536\) | 2.24292 | + | 3.24546i | 0.0968792 | + | 0.140183i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 24.5737 | + | 8.19871i | 1.05945 | + | 0.353472i | ||||
\(539\) | 27.1520 | + | 20.8718i | 1.16952 | + | 0.899014i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.6836 | − | 20.2366i | 0.502318 | − | 0.870040i | −0.497678 | − | 0.867362i | \(-0.665814\pi\) |
0.999996 | − | 0.00267870i | \(-0.000852658\pi\) | |||||||
\(542\) | −2.14074 | + | 0.437458i | −0.0919524 | + | 0.0187904i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.27661 | − | 5.85383i | −0.397731 | − | 0.250981i | ||||
\(545\) | −32.4580 | − | 18.7396i | −1.39035 | − | 0.802718i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.8092 | − | 12.5915i | 0.932493 | − | 0.538375i | 0.0448939 | − | 0.998992i | \(-0.485705\pi\) |
0.887599 | + | 0.460617i | \(0.152372\pi\) | |||||||
\(548\) | 16.0920 | + | 12.0828i | 0.687415 | + | 0.516150i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 69.3918 | + | 23.1517i | 2.95888 | + | 0.987192i | ||||
\(551\) | 7.95077 | 0.338714 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −26.5439 | − | 1.75133i | −1.12876 | − | 0.0744742i | ||||
\(554\) | 0.673520 | − | 0.137633i | 0.0286151 | − | 0.00584749i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 25.6538 | + | 19.2623i | 1.08796 | + | 0.816903i | ||||
\(557\) | 3.17042 | + | 5.49134i | 0.134335 | + | 0.232675i | 0.925343 | − | 0.379130i | \(-0.123777\pi\) |
−0.791008 | + | 0.611806i | \(0.790443\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.50664 | 0.148315 | ||||||||
\(560\) | 8.98407 | + | 40.7852i | 0.379646 | + | 1.72349i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.7868 | − | 35.3280i | 0.497195 | − | 1.49022i | ||||
\(563\) | −1.28515 | −0.0541628 | −0.0270814 | − | 0.999633i | \(-0.508621\pi\) | ||||
−0.0270814 | + | 0.999633i | \(0.508621\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 49.3122i | − | 2.07458i | ||||||
\(566\) | 16.1120 | + | 18.1797i | 0.677237 | + | 0.764149i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.46593 | + | 5.01514i | 0.145427 | + | 0.210430i | ||||
\(569\) | 19.8770 | 0.833286 | 0.416643 | − | 0.909070i | \(-0.363207\pi\) | ||||
0.416643 | + | 0.909070i | \(0.363207\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.3467i | 0.600391i | 0.953878 | + | 0.300196i | \(0.0970519\pi\) | ||||
−0.953878 | + | 0.300196i | \(0.902948\pi\) | |||||||
\(572\) | −11.8300 | + | 5.04561i | −0.494637 | + | 0.210968i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −37.6287 | + | 5.13745i | −1.57059 | + | 0.214433i | ||||
\(575\) | 35.6758i | 1.48778i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.9881 | − | 6.34398i | 0.457440 | − | 0.264103i | −0.253527 | − | 0.967328i | \(-0.581591\pi\) |
0.710967 | + | 0.703225i | \(0.248257\pi\) | |||||||
\(578\) | 18.3449 | − | 3.74878i | 0.763049 | − | 0.155929i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −12.6033 | + | 16.7853i | −0.523324 | + | 0.696970i | ||||
\(581\) | −6.15354 | + | 3.03128i | −0.255292 | + | 0.125759i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 62.0779i | 2.57101i | ||||||||
\(584\) | 5.55054 | − | 11.7148i | 0.229683 | − | 0.484761i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.03488 | + | 34.4257i | 0.290608 | + | 1.42211i | ||||
\(587\) | 12.4489 | + | 21.5622i | 0.513823 | + | 0.889967i | 0.999871 | + | 0.0160352i | \(0.00510440\pi\) |
−0.486049 | + | 0.873932i | \(0.661562\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.32527 | − | 2.29544i | 0.0546068 | − | 0.0945818i | ||||
\(590\) | −37.0302 | − | 12.3547i | −1.52451 | − | 0.508634i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.31350 | + | 1.36958i | −0.0539846 | + | 0.0562896i | ||||
\(593\) | 22.9565 | + | 13.2540i | 0.942712 | + | 0.544275i | 0.890809 | − | 0.454377i | \(-0.150138\pi\) |
0.0519027 | + | 0.998652i | \(0.483471\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.8287 | + | 11.2551i | 0.689909 | + | 0.461415i | ||||
\(596\) | −17.8273 | + | 7.60352i | −0.730235 | + | 0.311452i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.16017 | − | 4.69406i | −0.170122 | − | 0.191955i | ||||
\(599\) | − | 24.6495i | − | 1.00715i | −0.863951 | − | 0.503576i | \(-0.832017\pi\) | ||
0.863951 | − | 0.503576i | \(-0.167983\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.673377 | − | 0.388774i | 0.0274676 | − | 0.0158584i | −0.486203 | − | 0.873846i | \(-0.661619\pi\) |
0.513671 | + | 0.857987i | \(0.328285\pi\) | |||||||
\(602\) | 3.77586 | − | 9.24072i | 0.153893 | − | 0.376624i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −19.8717 | + | 26.4653i | −0.808566 | + | 1.07686i | ||||
\(605\) | 44.2091 | + | 25.5241i | 1.79736 | + | 1.03770i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.0843 | + | 36.5192i | 0.855787 | + | 1.48227i | 0.875913 | + | 0.482469i | \(0.160260\pi\) |
−0.0201256 | + | 0.999797i | \(0.506407\pi\) | |||||||
\(608\) | 16.8983 | + | 0.664883i | 0.685318 | + | 0.0269646i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.18849 | − | 12.5540i | 0.169587 | − | 0.508297i | ||||
\(611\) | 2.80208 | + | 1.61778i | 0.113360 | + | 0.0654483i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.18716 | + | 7.25237i | 0.169118 | + | 0.292921i | 0.938110 | − | 0.346338i | \(-0.112575\pi\) |
−0.768992 | + | 0.639258i | \(0.779241\pi\) | |||||||
\(614\) | −30.0986 | − | 33.9612i | −1.21468 | − | 1.37056i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.557978 | + | 36.6074i | 0.0224816 | + | 1.47496i | ||||
\(617\) | 8.84616 | − | 15.3220i | 0.356133 | − | 0.616840i | −0.631178 | − | 0.775638i | \(-0.717428\pi\) |
0.987311 | + | 0.158797i | \(0.0507617\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.1334 | + | 24.4797i | −0.568068 | + | 0.983922i | 0.428689 | + | 0.903452i | \(0.358975\pi\) |
−0.996757 | + | 0.0804700i | \(0.974358\pi\) | |||||||
\(620\) | 2.74523 | + | 6.43650i | 0.110251 | + | 0.258496i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.2395 | + | 13.8103i | 0.490760 | + | 0.553741i | ||||
\(623\) | 19.8213 | − | 29.6368i | 0.794122 | − | 1.18737i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.9592 | − | 29.3743i | −0.678369 | − | 1.17497i | ||||
\(626\) | 14.0989 | − | 12.4953i | 0.563504 | − | 0.499412i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.0076 | + | 3.14786i | 1.03782 | + | 0.125613i | ||||
\(629\) | 0.919927i | 0.0366799i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.2515i | 0.846007i | 0.906128 | + | 0.423004i | \(0.139024\pi\) | ||||
−0.906128 | + | 0.423004i | \(0.860976\pi\) | |||||||
\(632\) | −16.1681 | − | 23.3950i | −0.643134 | − | 0.930604i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −18.4350 | − | 20.8008i | −0.732147 | − | 0.826107i | ||||
\(635\) | 11.8667 | + | 20.5537i | 0.470914 | + | 0.815647i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.29452 | + | 5.60734i | 0.289020 | + | 0.222171i | ||||
\(638\) | −13.7711 | + | 12.2049i | −0.545205 | + | 0.483195i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −28.1904 | + | 34.6209i | −1.11432 | + | 1.36851i | ||||
\(641\) | −17.2510 | + | 29.8796i | −0.681373 | + | 1.18017i | 0.293189 | + | 0.956055i | \(0.405284\pi\) |
−0.974562 | + | 0.224119i | \(0.928050\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.50574 | − | 6.07213i | 0.138253 | − | 0.239461i | −0.788582 | − | 0.614929i | \(-0.789185\pi\) |
0.926835 | + | 0.375468i | \(0.122518\pi\) | |||||||
\(644\) | −16.8494 | + | 5.90845i | −0.663958 | + | 0.232826i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.13541 | − | 5.43758i | 0.241394 | − | 0.213939i | ||||
\(647\) | 0.330066 | + | 0.571691i | 0.0129762 | + | 0.0224755i | 0.872441 | − | 0.488720i | \(-0.162536\pi\) |
−0.859464 | + | 0.511196i | \(0.829203\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −29.6370 | − | 17.1109i | −1.16335 | − | 0.671662i | ||||
\(650\) | 18.6425 | + | 6.21984i | 0.731219 | + | 0.243962i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.64647 | + | 12.8473i | −0.377785 | + | 0.503139i | ||||
\(653\) | 1.19024 | + | 2.06155i | 0.0465776 | + | 0.0806748i | 0.888374 | − | 0.459120i | \(-0.151835\pi\) |
−0.841797 | + | 0.539795i | \(0.818502\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.83022 | − | 3.94343i | −0.266879 | − | 0.154083i | ||||
\(656\) | −29.3022 | − | 28.1023i | −1.14406 | − | 1.09721i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 7.28037 | − | 5.64205i | 0.283819 | − | 0.219950i | ||||
\(659\) | 4.53599 | − | 2.61885i | 0.176697 | − | 0.102016i | −0.409043 | − | 0.912515i | \(-0.634137\pi\) |
0.585740 | + | 0.810499i | \(0.300804\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.34107i | 0.285535i | 0.989756 | + | 0.142767i | \(0.0456001\pi\) | ||||
−0.989756 | + | 0.142767i | \(0.954400\pi\) | |||||||
\(662\) | 15.2474 | − | 13.5132i | 0.592606 | − | 0.525204i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.62704 | − | 3.13994i | −0.257179 | − | 0.121853i | ||||
\(665\) | −31.1453 | − | 2.05493i | −1.20776 | − | 0.0796867i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.77183 | − | 4.48707i | −0.300926 | − | 0.173740i | ||||
\(668\) | 15.4714 | + | 11.6168i | 0.598606 | + | 0.449467i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.46357 | − | 7.38397i | 0.0951760 | − | 0.285268i | ||||
\(671\) | 5.80096 | − | 10.0476i | 0.223943 | − | 0.387881i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.21172 | + | 10.7590i | 0.239444 | + | 0.414730i | 0.960555 | − | 0.278090i | \(-0.0897014\pi\) |
−0.721111 | + | 0.692820i | \(0.756368\pi\) | |||||||
\(674\) | 1.35753 | − | 0.277411i | 0.0522901 | − | 0.0106855i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.7374 | − | 8.84470i | 0.797592 | − | 0.340181i | ||||
\(677\) | − | 29.8294i | − | 1.14644i | −0.819403 | − | 0.573218i | \(-0.805695\pi\) | ||
0.819403 | − | 0.573218i | \(-0.194305\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.54346 | + | 5.16326i | 0.0976089 | + | 0.198148i | ||||
\(680\) | 1.75388 | + | 21.5722i | 0.0672583 | + | 0.827258i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.22818 | + | 6.01017i | 0.0470293 | + | 0.230141i | ||||
\(683\) | −9.32990 | + | 5.38662i | −0.356999 | + | 0.206113i | −0.667763 | − | 0.744374i | \(-0.732748\pi\) |
0.310765 | + | 0.950487i | \(0.399415\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 39.7054i | − | 1.51707i | ||||||
\(686\) | 22.6310 | − | 13.1847i | 0.864056 | − | 0.503395i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 10.2480 | − | 2.97683i | 0.390702 | − | 0.113491i | ||||
\(689\) | 16.6776i | 0.635365i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −47.3937 | −1.80294 | −0.901471 | − | 0.432840i | \(-0.857512\pi\) | ||||
−0.901471 | + | 0.432840i | \(0.857512\pi\) | |||||||
\(692\) | 32.5383 | + | 3.93831i | 1.23692 | + | 0.149712i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 29.0348 | − | 25.7325i | 1.10215 | − | 0.976791i | ||||
\(695\) | − | 63.2982i | − | 2.40104i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.6818 | −0.745502 | ||||||||
\(698\) | −20.1922 | − | 6.73689i | −0.764287 | − | 0.254995i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 36.4643 | − | 42.4294i | 1.37822 | − | 1.60368i | ||||
\(701\) | 39.5982 | 1.49560 | 0.747801 | − | 0.663923i | \(-0.231110\pi\) | ||||
0.747801 | + | 0.663923i | \(0.231110\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.709135 | − | 1.22826i | −0.0267455 | − | 0.0463246i | ||||
\(704\) | −30.2894 | + | 24.7882i | −1.14157 | + | 0.934240i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.24011 | + | 25.6429i | 0.197214 | + | 0.965082i | ||||
\(707\) | 1.04982 | − | 1.56970i | 0.0394826 | − | 0.0590345i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 27.4992 | 1.03276 | 0.516378 | − | 0.856361i | \(-0.327280\pi\) | ||||
0.516378 | + | 0.856361i | \(0.327280\pi\) | |||||||
\(710\) | 3.80690 | − | 11.4103i | 0.142870 | − | 0.428220i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 37.9906 | − | 3.08874i | 1.42376 | − | 0.115755i | ||||
\(713\) | −2.59089 | + | 1.49585i | −0.0970295 | + | 0.0560200i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.9766 | + | 12.6882i | 0.821877 | + | 0.474511i | ||||
\(716\) | −14.5481 | − | 34.1097i | −0.543689 | − | 1.27474i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.65060 | − | 8.07731i | −0.0615997 | − | 0.301443i | ||||
\(719\) | −26.4956 | + | 45.8917i | −0.988118 | + | 1.71147i | −0.360954 | + | 0.932584i | \(0.617549\pi\) |
−0.627164 | + | 0.778887i | \(0.715784\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.76427 | + | 1.36170i | −0.102947 | + | 0.0507123i | ||||
\(722\) | 4.50385 | − | 13.4992i | 0.167616 | − | 0.502389i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −45.6757 | − | 5.52840i | −1.69752 | − | 0.205461i | ||||
\(725\) | 28.1184 | 1.04429 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.2977 | − | 26.4963i | −0.567359 | − | 0.982694i | −0.996826 | − | 0.0796118i | \(-0.974632\pi\) |
0.429467 | − | 0.903082i | \(-0.358701\pi\) | |||||||
\(728\) | 0.149904 | + | 9.83479i | 0.00555580 | + | 0.364502i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.0600 | + | 5.12099i | −0.927511 | + | 0.189536i | ||||
\(731\) | 2.58666 | − | 4.48023i | 0.0956711 | − | 0.165707i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.610768 | + | 0.352627i | −0.0225592 | + | 0.0130246i | −0.511237 | − | 0.859440i | \(-0.670813\pi\) |
0.488678 | + | 0.872464i | \(0.337479\pi\) | |||||||
\(734\) | −2.50508 | + | 0.511913i | −0.0924643 | + | 0.0188950i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.1428 | − | 10.1866i | −0.595030 | − | 0.375483i | ||||
\(737\) | 3.41198 | − | 5.90973i | 0.125682 | − | 0.217688i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.5374 | + | 17.0534i | −1.08655 | + | 0.627321i | −0.932656 | − | 0.360766i | \(-0.882515\pi\) |
−0.153896 | + | 0.988087i | \(0.549182\pi\) | |||||||
\(740\) | 3.71713 | + | 0.449907i | 0.136645 | + | 0.0165389i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 43.9488 | + | 17.9580i | 1.61341 | + | 0.659258i | ||||
\(743\) | −32.7970 | − | 18.9353i | −1.20320 | − | 0.694670i | −0.241938 | − | 0.970292i | \(-0.577783\pi\) |
−0.961266 | + | 0.275621i | \(0.911116\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 33.1178 | + | 19.1205i | 1.21334 | + | 0.700523i | ||||
\(746\) | 2.66720 | − | 7.99429i | 0.0976530 | − | 0.292692i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.27987 | + | 18.8363i | −0.0833605 | + | 0.688725i | ||||
\(749\) | 17.9229 | − | 26.7984i | 0.654890 | − | 0.979194i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.6928 | + | 9.06026i | −0.572639 | + | 0.330613i | −0.758203 | − | 0.652019i | \(-0.773922\pi\) |
0.185563 | + | 0.982632i | \(0.440589\pi\) | |||||||
\(752\) | 9.56230 | + | 2.34918i | 0.348701 | + | 0.0856657i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.69970 | + | 3.27890i | −0.134735 | + | 0.119411i | ||||
\(755\) | 65.3007 | 2.37654 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −30.0755 | −1.09311 | −0.546555 | − | 0.837423i | \(-0.684061\pi\) | ||||
−0.546555 | + | 0.837423i | \(0.684061\pi\) | |||||||
\(758\) | −17.4961 | + | 15.5061i | −0.635488 | + | 0.563209i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −18.9709 | − | 27.4506i | −0.688147 | − | 0.995738i | ||||
\(761\) | −19.2695 | + | 11.1252i | −0.698518 | + | 0.403290i | −0.806795 | − | 0.590831i | \(-0.798800\pi\) |
0.108277 | + | 0.994121i | \(0.465467\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −22.5415 | + | 11.1041i | −0.816056 | + | 0.401995i | ||||
\(764\) | 7.83108 | + | 0.947842i | 0.283318 | + | 0.0342917i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.47613 | + | 4.42434i | −0.0533346 | + | 0.159858i | ||||
\(767\) | −7.96214 | − | 4.59694i | −0.287496 | − | 0.165986i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.46235 | + | 5.46309i | 0.341221 | + | 0.197004i | 0.660812 | − | 0.750552i | \(-0.270212\pi\) |
−0.319591 | + | 0.947556i | \(0.603545\pi\) | |||||||
\(770\) | 57.0997 | − | 44.2504i | 2.05773 | − | 1.59467i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.38183 | + | 11.4167i | −0.0497332 | + | 0.410896i | ||||
\(773\) | 10.6286 | − | 6.13643i | 0.382284 | − | 0.220712i | −0.296527 | − | 0.955024i | \(-0.595829\pi\) |
0.678812 | + | 0.734312i | \(0.262495\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.68690 | − | 8.11795i | 0.168359 | − | 0.291605i | ||||
\(776\) | −2.63463 | + | 5.56056i | −0.0945777 | + | 0.199612i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.3692 | + | 2.73199i | −0.479309 | + | 0.0979467i | ||||
\(779\) | 26.2786 | − | 15.1719i | 0.941527 | − | 0.543591i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.27246 | − | 9.13217i | 0.188663 | − | 0.326775i | ||||
\(782\) | −9.06605 | + | 1.85264i | −0.324201 | + | 0.0662504i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 26.0781 | + | 10.1948i | 0.931360 | + | 0.364100i | ||||
\(785\) | −25.8452 | − | 44.7653i | −0.922456 | − | 1.59774i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.27050 | 0.0809345 | 0.0404672 | − | 0.999181i | \(-0.487115\pi\) | ||||
0.0404672 | + | 0.999181i | \(0.487115\pi\) | |||||||
\(788\) | −3.98956 | + | 32.9618i | −0.142122 | + | 1.17422i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −17.7587 | + | 53.2276i | −0.631827 | + | 1.89375i | ||||
\(791\) | −27.4816 | − | 18.3798i | −0.977133 | − | 0.653512i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.55846 | − | 2.69933i | 0.0553425 | − | 0.0958560i | ||||
\(794\) | 1.05336 | + | 5.15472i | 0.0373825 | + | 0.182934i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −22.9365 | + | 9.78266i | −0.812964 | + | 0.346737i | ||||
\(797\) | −4.92030 | − | 2.84074i | −0.174286 | − | 0.100624i | 0.410319 | − | 0.911942i | \(-0.365417\pi\) |
−0.584605 | + | 0.811318i | \(0.698751\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.13388 | − | 2.38669i | 0.146246 | − | 0.0844352i | ||||
\(800\) | 59.7620 | + | 2.35140i | 2.11290 | + | 0.0831345i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.7294 | + | 32.1589i | −0.378869 | + | 1.13557i | ||||
\(803\) | −22.4229 | −0.791289 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 29.2846 | + | 19.5857i | 1.03215 | + | 0.690306i | ||||
\(806\) | 0.329957 | + | 1.61467i | 0.0116222 | + | 0.0568742i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.01215 | − | 0.163593i | 0.0707872 | − | 0.00575519i | ||||
\(809\) | 8.28527 | + | 14.3505i | 0.291295 | + | 0.504537i | 0.974116 | − | 0.226048i | \(-0.0725806\pi\) |
−0.682821 | + | 0.730585i | \(0.739247\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.2931 | 0.361438 | 0.180719 | − | 0.983535i | \(-0.442158\pi\) | ||||
0.180719 | + | 0.983535i | \(0.442158\pi\) | |||||||
\(812\) | 4.65683 | + | 13.2801i | 0.163423 | + | 0.466040i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.11370 | + | 1.03885i | 0.109135 | + | 0.0364116i | ||||
\(815\) | 31.6995 | 1.11038 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.97581i | 0.279038i | ||||||||
\(818\) | 23.4483 | − | 20.7814i | 0.819851 | − | 0.726603i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.62575 | + | 79.5280i | −0.336146 | + | 2.77724i | ||||
\(821\) | 0.101592 | 0.00354560 | 0.00177280 | − | 0.999998i | \(-0.499436\pi\) | ||||
0.00177280 | + | 0.999998i | \(0.499436\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 55.1859i | − | 1.92366i | −0.273650 | − | 0.961829i | \(-0.588231\pi\) | ||
0.273650 | − | 0.961829i | \(-0.411769\pi\) | |||||||
\(824\) | −2.97697 | − | 1.41051i | −0.103708 | − | 0.0491374i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −20.6873 | + | 16.0320i | −0.719803 | + | 0.557824i | ||||
\(827\) | − | 37.1634i | − | 1.29230i | −0.763211 | − | 0.646149i | \(-0.776378\pi\) | ||
0.763211 | − | 0.646149i | \(-0.223622\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.4823 | − | 19.3310i | 1.16289 | − | 0.671393i | 0.210893 | − | 0.977509i | \(-0.432363\pi\) |
0.951994 | + | 0.306116i | \(0.0990295\pi\) | |||||||
\(830\) | 2.89694 | + | 14.1764i | 0.100554 | + | 0.492070i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.13742 | + | 6.65949i | −0.282114 | + | 0.230876i | ||||
\(833\) | 12.5449 | − | 5.18354i | 0.434656 | − | 0.179599i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 38.1742i | − | 1.32107i | ||||||
\(836\) | −11.4762 | − | 26.9072i | −0.396912 | − | 0.930604i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −49.0038 | + | 10.0139i | −1.69281 | + | 0.345924i | ||||
\(839\) | 2.58403 | + | 4.47567i | 0.0892106 | + | 0.154517i | 0.907178 | − | 0.420748i | \(-0.138232\pi\) |
−0.817967 | + | 0.575265i | \(0.804899\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.9635 | − | 18.9893i | 0.378050 | − | 0.654802i | ||||
\(842\) | −13.8621 | + | 41.5485i | −0.477721 | + | 1.43186i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −26.9240 | + | 35.8578i | −0.926763 | + | 1.23427i | ||||
\(845\) | −38.5238 | − | 22.2417i | −1.32526 | − | 0.765138i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 30.7024 | − | 15.1242i | 1.05495 | − | 0.519673i | ||||
\(848\) | 14.1578 | + | 48.7395i | 0.486180 | + | 1.67372i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 21.6983 | − | 19.2303i | 0.744244 | − | 0.659595i | ||||
\(851\) | 1.60082i | 0.0548754i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −30.1332 | + | 17.3974i | −1.03174 | + | 0.595675i | −0.917483 | − | 0.397776i | \(-0.869782\pi\) |
−0.114257 | + | 0.993451i | \(0.536449\pi\) | |||||||
\(854\) | −5.43518 | − | 7.01342i | −0.185988 | − | 0.239994i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.3522 | − | 2.79293i | 1.17413 | − | 0.0954602i | ||||
\(857\) | −37.1025 | − | 21.4212i | −1.26740 | − | 0.731733i | −0.292903 | − | 0.956142i | \(-0.594621\pi\) |
−0.974495 | + | 0.224409i | \(0.927955\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.9716 | − | 27.6637i | −0.544945 | − | 0.943873i | −0.998610 | − | 0.0527008i | \(-0.983217\pi\) |
0.453665 | − | 0.891172i | \(-0.350116\pi\) | |||||||
\(860\) | −16.8381 | − | 12.6430i | −0.574175 | − | 0.431123i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.54235 | + | 2.18277i | 0.222833 | + | 0.0743455i | ||||
\(863\) | −30.0490 | − | 17.3488i | −1.02288 | − | 0.590560i | −0.107943 | − | 0.994157i | \(-0.534426\pi\) |
−0.914937 | + | 0.403597i | \(0.867760\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −32.3352 | − | 56.0061i | −1.09943 | − | 1.90427i | ||||
\(866\) | 13.8376 | − | 12.2637i | 0.470221 | − | 0.416739i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.61026 | + | 0.869128i | 0.156482 | + | 0.0295001i | ||||
\(869\) | −24.5954 | + | 42.6005i | −0.834342 | + | 1.44512i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.916648 | − | 1.58768i | 0.0310594 | − | 0.0537965i | ||||
\(872\) | −24.2760 | − | 11.5021i | −0.822088 | − | 0.389511i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 10.6766 | − | 9.46225i | 0.361141 | − | 0.320065i | ||||
\(875\) | −58.0568 | − | 3.83052i | −1.96268 | − | 0.129495i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.1213 | + | 19.2627i | 0.375540 | + | 0.650455i | 0.990408 | − | 0.138175i | \(-0.0441238\pi\) |
−0.614867 | + | 0.788631i | \(0.710790\pi\) | |||||||
\(878\) | −1.79846 | − | 2.02926i | −0.0606950 | − | 0.0684842i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 74.9967 | + | 18.4245i | 2.52814 | + | 0.621090i | ||||
\(881\) | 20.4228i | 0.688061i | 0.938958 | + | 0.344031i | \(0.111792\pi\) | ||||
−0.938958 | + | 0.344031i | \(0.888208\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.6027i | 0.390461i | 0.980757 | + | 0.195231i | \(0.0625456\pi\) | ||||
−0.980757 | + | 0.195231i | \(0.937454\pi\) | |||||||
\(884\) | −0.612501 | + | 5.06049i | −0.0206006 | + | 0.170203i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −22.5333 | + | 19.9704i | −0.757021 | + | 0.670919i | ||||
\(887\) | −26.5399 | − | 45.9684i | −0.891123 | − | 1.54347i | −0.838531 | − | 0.544853i | \(-0.816585\pi\) |
−0.0525911 | − | 0.998616i | \(-0.516748\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.8775 | + | 1.04758i | 0.532514 | + | 0.0351346i | ||||
\(890\) | −49.8822 | − | 56.2838i | −1.67206 | − | 1.88664i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.5018 | + | 7.03819i | −0.552522 | + | 0.235656i | ||||
\(893\) | −3.67962 | + | 6.37328i | −0.123134 | + | 0.213274i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.5841 | + | 63.3655i | −1.22287 | + | 2.11808i | ||||
\(896\) | 8.78695 | + | 28.6145i | 0.293551 | + | 0.955943i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.62770 | + | 6.34993i | 0.187799 | + | 0.211900i | ||||
\(899\) | 1.17898 | + | 2.04205i | 0.0393210 | + | 0.0681060i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.3079 | + | 12.3021i | 0.709870 | + | 0.409844i | ||||
\(902\) | −22.2261 | + | 66.6175i | −0.740049 | + | 2.21812i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.86412 | − | 35.2279i | −0.0952593 | − | 1.17166i | ||||
\(905\) | 45.3905 | + | 78.6187i | 1.50883 | + | 2.61337i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 47.3583 | + | 27.3424i | 1.57251 | + | 0.907888i | 0.995860 | + | 0.0908948i | \(0.0289727\pi\) |
0.576647 | + | 0.816993i | \(0.304361\pi\) | |||||||
\(908\) | 12.4649 | + | 9.35935i | 0.413662 | + | 0.310601i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 15.3401 | − | 11.8881i | 0.508521 | − | 0.394087i | ||||
\(911\) | 1.27865 | − | 0.738229i | 0.0423636 | − | 0.0244586i | −0.478669 | − | 0.877996i | \(-0.658880\pi\) |
0.521032 | + | 0.853537i | \(0.325547\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.6846i | 0.419800i | ||||||||
\(914\) | 23.7643 | + | 26.8141i | 0.786053 | + | 0.886930i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.33623 | − | 12.5114i | −0.176314 | − | 0.413388i | ||||
\(917\) | −4.74345 | + | 2.33666i | −0.156643 | + | 0.0771632i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.9505 | + | 9.78639i | 0.559146 | + | 0.322823i | 0.752803 | − | 0.658246i | \(-0.228701\pi\) |
−0.193657 | + | 0.981069i | \(0.562035\pi\) | |||||||
\(920\) | 3.05203 | + | 37.5391i | 0.100623 | + | 1.23763i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −26.9060 | − | 8.97685i | −0.886102 | − | 0.295637i | ||||
\(923\) | 1.41648 | − | 2.45341i | 0.0466239 | − | 0.0807549i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.50790 | − | 4.34381i | −0.0824592 | − | 0.142824i | ||||
\(926\) | 10.8833 | + | 53.2584i | 0.357649 | + | 1.75018i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −8.02871 | + | 12.7232i | −0.263555 | + | 0.417658i | ||||
\(929\) | 14.4455i | 0.473942i | 0.971517 | + | 0.236971i | \(0.0761546\pi\) | ||||
−0.971517 | + | 0.236971i | \(0.923845\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.7538 | + | 16.5913i | −0.417989 | + | 0.543758i | ||||
\(932\) | −27.0513 | − | 20.3116i | −0.886094 | − | 0.665329i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −45.3348 | + | 9.26415i | −1.48340 | + | 0.303132i | ||||
\(935\) | 32.4218 | − | 18.7187i | 1.06031 | − | 0.612168i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.4809i | 1.02844i | 0.857659 | + | 0.514218i | \(0.171918\pi\) | ||||
−0.857659 | + | 0.514218i | \(0.828082\pi\) | |||||||
\(938\) | −3.19684 | − | 4.12513i | −0.104381 | − | 0.134690i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.62213 | − | 17.8709i | −0.248606 | − | 0.582886i | ||||
\(941\) | − | 40.3346i | − | 1.31487i | −0.753511 | − | 0.657435i | \(-0.771641\pi\) | ||
0.753511 | − | 0.657435i | \(-0.228359\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.2495 | −1.11532 | ||||||||
\(944\) | −27.1714 | − | 6.67523i | −0.884354 | − | 0.217260i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.2433 | − | 13.8145i | −0.398064 | − | 0.449149i | ||||
\(947\) | 14.8597i | 0.482876i | 0.970416 | + | 0.241438i | \(0.0776190\pi\) | ||||
−0.970416 | + | 0.241438i | \(0.922381\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.02405 | −0.195549 | ||||||||
\(950\) | −14.1469 | + | 42.4021i | −0.458987 | + | 1.37571i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 12.6759 | + | 7.06306i | 0.410828 | + | 0.228915i | ||||
\(953\) | 11.8041 | 0.382371 | 0.191185 | − | 0.981554i | \(-0.438767\pi\) | ||||
0.191185 | + | 0.981554i | \(0.438767\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.78219 | − | 13.4791i | −0.251826 | − | 0.436175i | ||||
\(956\) | −23.3643 | + | 31.1169i | −0.755657 | + | 1.00639i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 50.9846 | − | 10.4187i | 1.64724 | − | 0.336612i | ||||
\(959\) | −22.1278 | − | 14.7992i | −0.714543 | − | 0.477890i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.2139 | −0.974643 | ||||||||
\(962\) | 0.836512 | + | 0.279092i | 0.0269702 | + | 0.00899829i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 28.2895 | − | 37.6764i | 0.911145 | − | 1.21347i | ||||
\(965\) | 19.6508 | − | 11.3454i | 0.632583 | − | 0.365222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.41663 | + | 1.39524i | 0.0777137 | + | 0.0448680i | 0.538353 | − | 0.842719i | \(-0.319047\pi\) |
−0.460640 | + | 0.887587i | \(0.652380\pi\) | |||||||
\(968\) | 33.0648 | + | 15.6663i | 1.06274 | + | 0.503535i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.8950 | − | 2.43074i | 0.381926 | − | 0.0780464i | ||||
\(971\) | −26.2483 | + | 45.4633i | −0.842347 | + | 1.45899i | 0.0455582 | + | 0.998962i | \(0.485493\pi\) |
−0.887905 | + | 0.460026i | \(0.847840\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −35.2760 | − | 23.5928i | −1.13090 | − | 0.756350i | ||||
\(974\) | 6.08894 | + | 2.03150i | 0.195102 | + | 0.0650935i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.26304 | − | 9.21167i | 0.0724382 | − | 0.294858i | ||||
\(977\) | 10.2879 | 0.329140 | 0.164570 | − | 0.986365i | \(-0.447376\pi\) | ||||
0.164570 | + | 0.986365i | \(0.447376\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −32.9653 | − | 57.0976i | −1.05358 | − | 1.82485i | ||||
\(980\) | −14.8097 | − | 53.2252i | −0.473080 | − | 1.70022i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.48721 | − | 17.0649i | −0.111281 | − | 0.544563i | ||||
\(983\) | −16.4524 | + | 28.4963i | −0.524749 | + | 0.908891i | 0.474836 | + | 0.880074i | \(0.342507\pi\) |
−0.999585 | + | 0.0288169i | \(0.990826\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 56.7351 | − | 32.7560i | 1.80773 | − | 1.04369i | ||||
\(986\) | 1.46019 | + | 7.14554i | 0.0465019 | + | 0.227560i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.08314 | − | 7.22876i | −0.0980876 | − | 0.229978i | ||||
\(989\) | 4.50120 | − | 7.79630i | 0.143130 | − | 0.247908i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 48.3716 | − | 27.9273i | 1.53657 | − | 0.887141i | 0.537537 | − | 0.843240i | \(-0.319355\pi\) |
0.999036 | − | 0.0439007i | \(-0.0139785\pi\) | |||||||
\(992\) | 2.33499 | + | 4.43869i | 0.0741361 | + | 0.140929i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.94000 | − | 6.37446i | −0.156687 | − | 0.202186i | ||||
\(995\) | 42.6092 | + | 24.6004i | 1.35080 | + | 0.779885i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.219422 | + | 0.126684i | 0.00694917 | + | 0.00401211i | 0.503471 | − | 0.864012i | \(-0.332056\pi\) |
−0.496521 | + | 0.868024i | \(0.665390\pi\) | |||||||
\(998\) | 17.3748 | + | 5.79689i | 0.549990 | + | 0.183497i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 756.2.bj.b.523.11 | 84 | ||
3.2 | odd | 2 | 252.2.bj.b.103.32 | yes | 84 | ||
4.3 | odd | 2 | inner | 756.2.bj.b.523.12 | 84 | ||
7.3 | odd | 6 | 756.2.n.b.199.39 | 84 | |||
9.2 | odd | 6 | 252.2.n.b.187.25 | yes | 84 | ||
9.7 | even | 3 | 756.2.n.b.19.18 | 84 | |||
12.11 | even | 2 | 252.2.bj.b.103.31 | yes | 84 | ||
21.17 | even | 6 | 252.2.n.b.31.4 | ✓ | 84 | ||
28.3 | even | 6 | 756.2.n.b.199.18 | 84 | |||
36.7 | odd | 6 | 756.2.n.b.19.39 | 84 | |||
36.11 | even | 6 | 252.2.n.b.187.4 | yes | 84 | ||
63.38 | even | 6 | 252.2.bj.b.115.32 | yes | 84 | ||
63.52 | odd | 6 | inner | 756.2.bj.b.451.11 | 84 | ||
84.59 | odd | 6 | 252.2.n.b.31.25 | yes | 84 | ||
252.115 | even | 6 | inner | 756.2.bj.b.451.12 | 84 | ||
252.227 | odd | 6 | 252.2.bj.b.115.31 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.4 | ✓ | 84 | 21.17 | even | 6 | ||
252.2.n.b.31.25 | yes | 84 | 84.59 | odd | 6 | ||
252.2.n.b.187.4 | yes | 84 | 36.11 | even | 6 | ||
252.2.n.b.187.25 | yes | 84 | 9.2 | odd | 6 | ||
252.2.bj.b.103.31 | yes | 84 | 12.11 | even | 2 | ||
252.2.bj.b.103.32 | yes | 84 | 3.2 | odd | 2 | ||
252.2.bj.b.115.31 | yes | 84 | 252.227 | odd | 6 | ||
252.2.bj.b.115.32 | yes | 84 | 63.38 | even | 6 | ||
756.2.n.b.19.18 | 84 | 9.7 | even | 3 | |||
756.2.n.b.19.39 | 84 | 36.7 | odd | 6 | |||
756.2.n.b.199.18 | 84 | 28.3 | even | 6 | |||
756.2.n.b.199.39 | 84 | 7.3 | odd | 6 | |||
756.2.bj.b.451.11 | 84 | 63.52 | odd | 6 | inner | ||
756.2.bj.b.451.12 | 84 | 252.115 | even | 6 | inner | ||
756.2.bj.b.523.11 | 84 | 1.1 | even | 1 | trivial | ||
756.2.bj.b.523.12 | 84 | 4.3 | odd | 2 | inner |