Newspace parameters
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.q (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
Defining polynomial: |
\( x^{4} - x^{3} - 2x^{2} - 3x + 9 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 335.2 | ||
Root | \(1.68614 + 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.335 |
Dual form | 546.2.q.e.251.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 1.18614 | + | 1.26217i | 0.684819 | + | 0.728714i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.792287i | 0.354322i | 0.984182 | + | 0.177161i | \(0.0566913\pi\) | ||||
−0.984182 | + | 0.177161i | \(0.943309\pi\) | |||||||
\(6\) | 0.500000 | − | 1.65831i | 0.204124 | − | 0.677003i | ||||
\(7\) | 0.500000 | + | 2.59808i | 0.188982 | + | 0.981981i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.186141 | + | 2.99422i | −0.0620469 | + | 0.998073i | ||||
\(10\) | 0.686141 | − | 0.396143i | 0.216977 | − | 0.125272i | ||||
\(11\) | −2.18614 | − | 3.78651i | −0.659146 | − | 1.14167i | −0.980837 | − | 0.194830i | \(-0.937584\pi\) |
0.321691 | − | 0.946845i | \(-0.395749\pi\) | |||||||
\(12\) | −1.68614 | + | 0.396143i | −0.486747 | + | 0.114357i | ||||
\(13\) | 3.50000 | + | 0.866025i | 0.970725 | + | 0.240192i | ||||
\(14\) | 2.00000 | − | 1.73205i | 0.534522 | − | 0.462910i | ||||
\(15\) | −1.00000 | + | 0.939764i | −0.258199 | + | 0.242646i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.18614 | + | 3.78651i | −0.530217 | + | 0.918363i | 0.469162 | + | 0.883112i | \(0.344556\pi\) |
−0.999379 | + | 0.0352504i | \(0.988777\pi\) | |||||||
\(18\) | 2.68614 | − | 1.33591i | 0.633129 | − | 0.314876i | ||||
\(19\) | −1.18614 | + | 2.05446i | −0.272119 | + | 0.471325i | −0.969404 | − | 0.245470i | \(-0.921058\pi\) |
0.697285 | + | 0.716794i | \(0.254391\pi\) | |||||||
\(20\) | −0.686141 | − | 0.396143i | −0.153426 | − | 0.0885804i | ||||
\(21\) | −2.68614 | + | 3.71277i | −0.586164 | + | 0.810192i | ||||
\(22\) | −2.18614 | + | 3.78651i | −0.466087 | + | 0.807286i | ||||
\(23\) | −3.68614 | + | 2.12819i | −0.768613 | + | 0.443759i | −0.832380 | − | 0.554206i | \(-0.813022\pi\) |
0.0637663 | + | 0.997965i | \(0.479689\pi\) | |||||||
\(24\) | 1.18614 | + | 1.26217i | 0.242120 | + | 0.257639i | ||||
\(25\) | 4.37228 | 0.874456 | ||||||||
\(26\) | −1.00000 | − | 3.46410i | −0.196116 | − | 0.679366i | ||||
\(27\) | −4.00000 | + | 3.31662i | −0.769800 | + | 0.638285i | ||||
\(28\) | −2.50000 | − | 0.866025i | −0.472456 | − | 0.163663i | ||||
\(29\) | −2.18614 | + | 1.26217i | −0.405956 | + | 0.234379i | −0.689051 | − | 0.724713i | \(-0.741972\pi\) |
0.283095 | + | 0.959092i | \(0.408639\pi\) | |||||||
\(30\) | 1.31386 | + | 0.396143i | 0.239877 | + | 0.0723256i | ||||
\(31\) | 6.74456 | 1.21136 | 0.605680 | − | 0.795709i | \(-0.292901\pi\) | ||||
0.605680 | + | 0.795709i | \(0.292901\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 2.18614 | − | 7.25061i | 0.380558 | − | 1.26217i | ||||
\(34\) | 4.37228 | 0.749840 | ||||||||
\(35\) | −2.05842 | + | 0.396143i | −0.347937 | + | 0.0669605i | ||||
\(36\) | −2.50000 | − | 1.65831i | −0.416667 | − | 0.276385i | ||||
\(37\) | −10.1168 | + | 5.84096i | −1.66320 | + | 0.960248i | −0.692026 | + | 0.721873i | \(0.743282\pi\) |
−0.971173 | + | 0.238376i | \(0.923385\pi\) | |||||||
\(38\) | 2.37228 | 0.384835 | ||||||||
\(39\) | 3.05842 | + | 5.44482i | 0.489739 | + | 0.871869i | ||||
\(40\) | 0.792287i | 0.125272i | ||||||||
\(41\) | 8.18614 | − | 4.72627i | 1.27846 | − | 0.738119i | 0.301895 | − | 0.953341i | \(-0.402381\pi\) |
0.976565 | + | 0.215222i | \(0.0690474\pi\) | |||||||
\(42\) | 4.55842 | + | 0.469882i | 0.703380 | + | 0.0725044i | ||||
\(43\) | 2.00000 | − | 3.46410i | 0.304997 | − | 0.528271i | −0.672264 | − | 0.740312i | \(-0.734678\pi\) |
0.977261 | + | 0.212041i | \(0.0680112\pi\) | |||||||
\(44\) | 4.37228 | 0.659146 | ||||||||
\(45\) | −2.37228 | − | 0.147477i | −0.353639 | − | 0.0219845i | ||||
\(46\) | 3.68614 | + | 2.12819i | 0.543492 | + | 0.313785i | ||||
\(47\) | − | 0.939764i | − | 0.137079i | −0.997648 | − | 0.0685393i | \(-0.978166\pi\) | ||
0.997648 | − | 0.0685393i | \(-0.0218339\pi\) | |||||||
\(48\) | 0.500000 | − | 1.65831i | 0.0721688 | − | 0.239357i | ||||
\(49\) | −6.50000 | + | 2.59808i | −0.928571 | + | 0.371154i | ||||
\(50\) | −2.18614 | − | 3.78651i | −0.309167 | − | 0.535493i | ||||
\(51\) | −7.37228 | + | 1.73205i | −1.03233 | + | 0.242536i | ||||
\(52\) | −2.50000 | + | 2.59808i | −0.346688 | + | 0.360288i | ||||
\(53\) | 2.22938i | 0.306229i | 0.988208 | + | 0.153115i | \(0.0489304\pi\) | ||||
−0.988208 | + | 0.153115i | \(0.951070\pi\) | |||||||
\(54\) | 4.87228 | + | 1.80579i | 0.663034 | + | 0.245737i | ||||
\(55\) | 3.00000 | − | 1.73205i | 0.404520 | − | 0.233550i | ||||
\(56\) | 0.500000 | + | 2.59808i | 0.0668153 | + | 0.347183i | ||||
\(57\) | −4.00000 | + | 0.939764i | −0.529813 | + | 0.124475i | ||||
\(58\) | 2.18614 | + | 1.26217i | 0.287054 | + | 0.165731i | ||||
\(59\) | 5.31386 | + | 3.06796i | 0.691806 | + | 0.399414i | 0.804288 | − | 0.594240i | \(-0.202547\pi\) |
−0.112483 | + | 0.993654i | \(0.535880\pi\) | |||||||
\(60\) | −0.313859 | − | 1.33591i | −0.0405191 | − | 0.172465i | ||||
\(61\) | 4.50000 | + | 2.59808i | 0.576166 | + | 0.332650i | 0.759608 | − | 0.650381i | \(-0.225391\pi\) |
−0.183442 | + | 0.983030i | \(0.558724\pi\) | |||||||
\(62\) | −3.37228 | − | 5.84096i | −0.428280 | − | 0.741803i | ||||
\(63\) | −7.87228 | + | 1.01350i | −0.991814 | + | 0.127689i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.686141 | + | 2.77300i | −0.0851053 | + | 0.343949i | ||||
\(66\) | −7.37228 | + | 1.73205i | −0.907465 | + | 0.213201i | ||||
\(67\) | 10.1168 | − | 5.84096i | 1.23597 | − | 0.713587i | 0.267701 | − | 0.963502i | \(-0.413736\pi\) |
0.968268 | + | 0.249915i | \(0.0804026\pi\) | |||||||
\(68\) | −2.18614 | − | 3.78651i | −0.265108 | − | 0.459181i | ||||
\(69\) | −7.05842 | − | 2.12819i | −0.849734 | − | 0.256204i | ||||
\(70\) | 1.37228 | + | 1.58457i | 0.164019 | + | 0.189393i | ||||
\(71\) | 8.05842 | − | 13.9576i | 0.956359 | − | 1.65646i | 0.225131 | − | 0.974328i | \(-0.427719\pi\) |
0.731228 | − | 0.682133i | \(-0.238948\pi\) | |||||||
\(72\) | −0.186141 | + | 2.99422i | −0.0219369 | + | 0.352872i | ||||
\(73\) | −10.7446 | −1.25756 | −0.628778 | − | 0.777585i | \(-0.716445\pi\) | ||||
−0.628778 | + | 0.777585i | \(0.716445\pi\) | |||||||
\(74\) | 10.1168 | + | 5.84096i | 1.17606 | + | 0.678998i | ||||
\(75\) | 5.18614 | + | 5.51856i | 0.598844 | + | 0.637228i | ||||
\(76\) | −1.18614 | − | 2.05446i | −0.136060 | − | 0.235662i | ||||
\(77\) | 8.74456 | − | 7.57301i | 0.996535 | − | 0.863025i | ||||
\(78\) | 3.18614 | − | 5.37108i | 0.360759 | − | 0.608155i | ||||
\(79\) | 9.62772 | 1.08320 | 0.541601 | − | 0.840635i | \(-0.317818\pi\) | ||||
0.541601 | + | 0.840635i | \(0.317818\pi\) | |||||||
\(80\) | 0.686141 | − | 0.396143i | 0.0767129 | − | 0.0442902i | ||||
\(81\) | −8.93070 | − | 1.11469i | −0.992300 | − | 0.123855i | ||||
\(82\) | −8.18614 | − | 4.72627i | −0.904008 | − | 0.521929i | ||||
\(83\) | − | 1.58457i | − | 0.173930i | −0.996211 | − | 0.0869648i | \(-0.972283\pi\) | ||
0.996211 | − | 0.0869648i | \(-0.0277168\pi\) | |||||||
\(84\) | −1.87228 | − | 4.18265i | −0.204283 | − | 0.456365i | ||||
\(85\) | −3.00000 | − | 1.73205i | −0.325396 | − | 0.187867i | ||||
\(86\) | −4.00000 | −0.431331 | ||||||||
\(87\) | −4.18614 | − | 1.26217i | −0.448801 | − | 0.135319i | ||||
\(88\) | −2.18614 | − | 3.78651i | −0.233043 | − | 0.403643i | ||||
\(89\) | 9.30298 | − | 5.37108i | 0.986114 | − | 0.569333i | 0.0820038 | − | 0.996632i | \(-0.473868\pi\) |
0.904111 | + | 0.427299i | \(0.140535\pi\) | |||||||
\(90\) | 1.05842 | + | 2.12819i | 0.111567 | + | 0.224331i | ||||
\(91\) | −0.500000 | + | 9.52628i | −0.0524142 | + | 0.998625i | ||||
\(92\) | − | 4.25639i | − | 0.443759i | ||||||
\(93\) | 8.00000 | + | 8.51278i | 0.829561 | + | 0.882734i | ||||
\(94\) | −0.813859 | + | 0.469882i | −0.0839432 | + | 0.0484646i | ||||
\(95\) | −1.62772 | − | 0.939764i | −0.167000 | − | 0.0964177i | ||||
\(96\) | −1.68614 | + | 0.396143i | −0.172091 | + | 0.0404312i | ||||
\(97\) | −0.372281 | + | 0.644810i | −0.0377994 | + | 0.0654706i | −0.884306 | − | 0.466907i | \(-0.845368\pi\) |
0.846507 | + | 0.532378i | \(0.178701\pi\) | |||||||
\(98\) | 5.50000 | + | 4.33013i | 0.555584 | + | 0.437409i | ||||
\(99\) | 11.7446 | − | 5.84096i | 1.18037 | − | 0.587039i | ||||
\(100\) | −2.18614 | + | 3.78651i | −0.218614 | + | 0.378651i | ||||
\(101\) | 7.37228 | + | 12.7692i | 0.733569 | + | 1.27058i | 0.955348 | + | 0.295482i | \(0.0954804\pi\) |
−0.221779 | + | 0.975097i | \(0.571186\pi\) | |||||||
\(102\) | 5.18614 | + | 5.51856i | 0.513504 | + | 0.546419i | ||||
\(103\) | − | 8.21782i | − | 0.809726i | −0.914377 | − | 0.404863i | \(-0.867319\pi\) | ||
0.914377 | − | 0.404863i | \(-0.132681\pi\) | |||||||
\(104\) | 3.50000 | + | 0.866025i | 0.343203 | + | 0.0849208i | ||||
\(105\) | −2.94158 | − | 2.12819i | −0.287069 | − | 0.207690i | ||||
\(106\) | 1.93070 | − | 1.11469i | 0.187526 | − | 0.108268i | ||||
\(107\) | 0.813859 | − | 0.469882i | 0.0786788 | − | 0.0454252i | −0.460144 | − | 0.887844i | \(-0.652202\pi\) |
0.538823 | + | 0.842419i | \(0.318869\pi\) | |||||||
\(108\) | −0.872281 | − | 5.12241i | −0.0839353 | − | 0.492905i | ||||
\(109\) | − | 19.8997i | − | 1.90605i | −0.302891 | − | 0.953025i | \(-0.597952\pi\) | ||
0.302891 | − | 0.953025i | \(-0.402048\pi\) | |||||||
\(110\) | −3.00000 | − | 1.73205i | −0.286039 | − | 0.165145i | ||||
\(111\) | −19.3723 | − | 5.84096i | −1.83874 | − | 0.554400i | ||||
\(112\) | 2.00000 | − | 1.73205i | 0.188982 | − | 0.163663i | ||||
\(113\) | −3.25544 | − | 1.87953i | −0.306246 | − | 0.176811i | 0.339000 | − | 0.940787i | \(-0.389911\pi\) |
−0.645245 | + | 0.763975i | \(0.723245\pi\) | |||||||
\(114\) | 2.81386 | + | 2.99422i | 0.263542 | + | 0.280434i | ||||
\(115\) | −1.68614 | − | 2.92048i | −0.157233 | − | 0.272336i | ||||
\(116\) | − | 2.52434i | − | 0.234379i | ||||||
\(117\) | −3.24456 | + | 10.3186i | −0.299960 | + | 0.953952i | ||||
\(118\) | − | 6.13592i | − | 0.564857i | ||||||
\(119\) | −10.9307 | − | 3.78651i | −1.00202 | − | 0.347108i | ||||
\(120\) | −1.00000 | + | 0.939764i | −0.0912871 | + | 0.0857883i | ||||
\(121\) | −4.05842 | + | 7.02939i | −0.368947 | + | 0.639036i | ||||
\(122\) | − | 5.19615i | − | 0.470438i | ||||||
\(123\) | 15.6753 | + | 4.72627i | 1.41339 | + | 0.426153i | ||||
\(124\) | −3.37228 | + | 5.84096i | −0.302840 | + | 0.524534i | ||||
\(125\) | 7.42554i | 0.664160i | ||||||||
\(126\) | 4.81386 | + | 6.31084i | 0.428853 | + | 0.562215i | ||||
\(127\) | 1.05842 | + | 1.83324i | 0.0939198 | + | 0.162674i | 0.909157 | − | 0.416453i | \(-0.136727\pi\) |
−0.815237 | + | 0.579127i | \(0.803394\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 6.74456 | − | 1.58457i | 0.593826 | − | 0.139514i | ||||
\(130\) | 2.74456 | − | 0.792287i | 0.240714 | − | 0.0694882i | ||||
\(131\) | −21.6060 | −1.88772 | −0.943861 | − | 0.330342i | \(-0.892836\pi\) | ||||
−0.943861 | + | 0.330342i | \(0.892836\pi\) | |||||||
\(132\) | 5.18614 | + | 5.51856i | 0.451396 | + | 0.480329i | ||||
\(133\) | −5.93070 | − | 2.05446i | −0.514257 | − | 0.178144i | ||||
\(134\) | −10.1168 | − | 5.84096i | −0.873962 | − | 0.504582i | ||||
\(135\) | −2.62772 | − | 3.16915i | −0.226158 | − | 0.272757i | ||||
\(136\) | −2.18614 | + | 3.78651i | −0.187460 | + | 0.324690i | ||||
\(137\) | −3.68614 | + | 6.38458i | −0.314928 | + | 0.545472i | −0.979422 | − | 0.201822i | \(-0.935314\pi\) |
0.664494 | + | 0.747294i | \(0.268647\pi\) | |||||||
\(138\) | 1.68614 | + | 7.17687i | 0.143534 | + | 0.610936i | ||||
\(139\) | −7.67527 | − | 4.43132i | −0.651008 | − | 0.375859i | 0.137835 | − | 0.990455i | \(-0.455986\pi\) |
−0.788842 | + | 0.614596i | \(0.789319\pi\) | |||||||
\(140\) | 0.686141 | − | 1.98072i | 0.0579895 | − | 0.167401i | ||||
\(141\) | 1.18614 | − | 1.11469i | 0.0998911 | − | 0.0938740i | ||||
\(142\) | −16.1168 | −1.35250 | ||||||||
\(143\) | −4.37228 | − | 15.1460i | −0.365629 | − | 1.26657i | ||||
\(144\) | 2.68614 | − | 1.33591i | 0.223845 | − | 0.111326i | ||||
\(145\) | −1.00000 | − | 1.73205i | −0.0830455 | − | 0.143839i | ||||
\(146\) | 5.37228 | + | 9.30506i | 0.444613 | + | 0.770093i | ||||
\(147\) | −10.9891 | − | 5.12241i | −0.906368 | − | 0.422490i | ||||
\(148\) | − | 11.6819i | − | 0.960248i | ||||||
\(149\) | 3.00000 | − | 5.19615i | 0.245770 | − | 0.425685i | −0.716578 | − | 0.697507i | \(-0.754293\pi\) |
0.962348 | + | 0.271821i | \(0.0876260\pi\) | |||||||
\(150\) | 2.18614 | − | 7.25061i | 0.178498 | − | 0.592010i | ||||
\(151\) | − | 16.8781i | − | 1.37352i | −0.726885 | − | 0.686759i | \(-0.759033\pi\) | ||
0.726885 | − | 0.686759i | \(-0.240967\pi\) | |||||||
\(152\) | −1.18614 | + | 2.05446i | −0.0962087 | + | 0.166638i | ||||
\(153\) | −10.9307 | − | 7.25061i | −0.883695 | − | 0.586177i | ||||
\(154\) | −10.9307 | − | 3.78651i | −0.880821 | − | 0.305125i | ||||
\(155\) | 5.34363i | 0.429211i | ||||||||
\(156\) | −6.24456 | − | 0.0737384i | −0.499965 | − | 0.00590380i | ||||
\(157\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(158\) | −4.81386 | − | 8.33785i | −0.382970 | − | 0.663324i | ||||
\(159\) | −2.81386 | + | 2.64436i | −0.223154 | + | 0.209712i | ||||
\(160\) | −0.686141 | − | 0.396143i | −0.0542442 | − | 0.0313179i | ||||
\(161\) | −7.37228 | − | 8.51278i | −0.581017 | − | 0.670901i | ||||
\(162\) | 3.50000 | + | 8.29156i | 0.274986 | + | 0.651447i | ||||
\(163\) | −9.00000 | − | 5.19615i | −0.704934 | − | 0.406994i | 0.104248 | − | 0.994551i | \(-0.466756\pi\) |
−0.809183 | + | 0.587557i | \(0.800090\pi\) | |||||||
\(164\) | 9.45254i | 0.738119i | ||||||||
\(165\) | 5.74456 | + | 1.73205i | 0.447214 | + | 0.134840i | ||||
\(166\) | −1.37228 | + | 0.792287i | −0.106510 | + | 0.0614934i | ||||
\(167\) | 5.74456 | − | 3.31662i | 0.444528 | − | 0.256648i | −0.260989 | − | 0.965342i | \(-0.584049\pi\) |
0.705516 | + | 0.708694i | \(0.250715\pi\) | |||||||
\(168\) | −2.68614 | + | 3.71277i | −0.207240 | + | 0.286446i | ||||
\(169\) | 11.5000 | + | 6.06218i | 0.884615 | + | 0.466321i | ||||
\(170\) | 3.46410i | 0.265684i | ||||||||
\(171\) | −5.93070 | − | 3.93398i | −0.453532 | − | 0.300839i | ||||
\(172\) | 2.00000 | + | 3.46410i | 0.152499 | + | 0.264135i | ||||
\(173\) | −0.941578 | + | 1.63086i | −0.0715869 | + | 0.123992i | −0.899597 | − | 0.436721i | \(-0.856140\pi\) |
0.828010 | + | 0.560713i | \(0.189473\pi\) | |||||||
\(174\) | 1.00000 | + | 4.25639i | 0.0758098 | + | 0.322676i | ||||
\(175\) | 2.18614 | + | 11.3595i | 0.165257 | + | 0.858699i | ||||
\(176\) | −2.18614 | + | 3.78651i | −0.164787 | + | 0.285419i | ||||
\(177\) | 2.43070 | + | 10.3460i | 0.182703 | + | 0.777654i | ||||
\(178\) | −9.30298 | − | 5.37108i | −0.697288 | − | 0.402580i | ||||
\(179\) | 4.37228 | − | 2.52434i | 0.326800 | − | 0.188678i | −0.327620 | − | 0.944810i | \(-0.606246\pi\) |
0.654419 | + | 0.756132i | \(0.272913\pi\) | |||||||
\(180\) | 1.31386 | − | 1.98072i | 0.0979293 | − | 0.147634i | ||||
\(181\) | − | 12.1244i | − | 0.901196i | −0.892727 | − | 0.450598i | \(-0.851211\pi\) | ||
0.892727 | − | 0.450598i | \(-0.148789\pi\) | |||||||
\(182\) | 8.50000 | − | 4.33013i | 0.630062 | − | 0.320970i | ||||
\(183\) | 2.05842 | + | 8.76144i | 0.152163 | + | 0.647665i | ||||
\(184\) | −3.68614 | + | 2.12819i | −0.271746 | + | 0.156893i | ||||
\(185\) | −4.62772 | − | 8.01544i | −0.340237 | − | 0.589307i | ||||
\(186\) | 3.37228 | − | 11.1846i | 0.247268 | − | 0.820094i | ||||
\(187\) | 19.1168 | 1.39796 | ||||||||
\(188\) | 0.813859 | + | 0.469882i | 0.0593568 | + | 0.0342697i | ||||
\(189\) | −10.6168 | − | 8.73399i | −0.772262 | − | 0.635304i | ||||
\(190\) | 1.87953i | 0.136355i | ||||||||
\(191\) | 10.6277 | + | 6.13592i | 0.768995 | + | 0.443979i | 0.832516 | − | 0.554001i | \(-0.186900\pi\) |
−0.0635211 | + | 0.997980i | \(0.520233\pi\) | |||||||
\(192\) | 1.18614 | + | 1.26217i | 0.0856023 | + | 0.0910892i | ||||
\(193\) | 11.6168 | − | 6.70699i | 0.836199 | − | 0.482780i | −0.0197716 | − | 0.999805i | \(-0.506294\pi\) |
0.855970 | + | 0.517025i | \(0.172961\pi\) | |||||||
\(194\) | 0.744563 | 0.0534565 | ||||||||
\(195\) | −4.31386 | + | 2.42315i | −0.308922 | + | 0.173525i | ||||
\(196\) | 1.00000 | − | 6.92820i | 0.0714286 | − | 0.494872i | ||||
\(197\) | 12.3030 | + | 21.3094i | 0.876551 | + | 1.51823i | 0.855101 | + | 0.518462i | \(0.173495\pi\) |
0.0214504 | + | 0.999770i | \(0.493172\pi\) | |||||||
\(198\) | −10.9307 | − | 7.25061i | −0.776811 | − | 0.515278i | ||||
\(199\) | −3.00000 | − | 1.73205i | −0.212664 | − | 0.122782i | 0.389885 | − | 0.920864i | \(-0.372515\pi\) |
−0.602549 | + | 0.798082i | \(0.705848\pi\) | |||||||
\(200\) | 4.37228 | 0.309167 | ||||||||
\(201\) | 19.3723 | + | 5.84096i | 1.36642 | + | 0.411990i | ||||
\(202\) | 7.37228 | − | 12.7692i | 0.518712 | − | 0.898435i | ||||
\(203\) | −4.37228 | − | 5.04868i | −0.306874 | − | 0.354348i | ||||
\(204\) | 2.18614 | − | 7.25061i | 0.153060 | − | 0.507644i | ||||
\(205\) | 3.74456 | + | 6.48577i | 0.261532 | + | 0.452986i | ||||
\(206\) | −7.11684 | + | 4.10891i | −0.495854 | + | 0.286281i | ||||
\(207\) | −5.68614 | − | 11.4333i | −0.395214 | − | 0.794666i | ||||
\(208\) | −1.00000 | − | 3.46410i | −0.0693375 | − | 0.240192i | ||||
\(209\) | 10.3723 | 0.717466 | ||||||||
\(210\) | −0.372281 | + | 3.61158i | −0.0256899 | + | 0.249223i | ||||
\(211\) | −5.62772 | − | 9.74749i | −0.387428 | − | 0.671045i | 0.604675 | − | 0.796473i | \(-0.293303\pi\) |
−0.992103 | + | 0.125427i | \(0.959970\pi\) | |||||||
\(212\) | −1.93070 | − | 1.11469i | −0.132601 | − | 0.0765574i | ||||
\(213\) | 27.1753 | − | 6.38458i | 1.86202 | − | 0.437464i | ||||
\(214\) | −0.813859 | − | 0.469882i | −0.0556343 | − | 0.0321205i | ||||
\(215\) | 2.74456 | + | 1.58457i | 0.187178 | + | 0.108067i | ||||
\(216\) | −4.00000 | + | 3.31662i | −0.272166 | + | 0.225668i | ||||
\(217\) | 3.37228 | + | 17.5229i | 0.228925 | + | 1.18953i | ||||
\(218\) | −17.2337 | + | 9.94987i | −1.16721 | + | 0.673891i | ||||
\(219\) | −12.7446 | − | 13.5615i | −0.861198 | − | 0.916398i | ||||
\(220\) | 3.46410i | 0.233550i | ||||||||
\(221\) | −10.9307 | + | 11.3595i | −0.735279 | + | 0.764124i | ||||
\(222\) | 4.62772 | + | 19.6974i | 0.310592 | + | 1.32200i | ||||
\(223\) | 14.1168 | + | 24.4511i | 0.945334 | + | 1.63737i | 0.755082 | + | 0.655631i | \(0.227597\pi\) |
0.190252 | + | 0.981735i | \(0.439069\pi\) | |||||||
\(224\) | −2.50000 | − | 0.866025i | −0.167038 | − | 0.0578638i | ||||
\(225\) | −0.813859 | + | 13.0916i | −0.0542573 | + | 0.872771i | ||||
\(226\) | 3.75906i | 0.250049i | ||||||||
\(227\) | −16.8030 | − | 9.70121i | −1.11525 | − | 0.643892i | −0.175068 | − | 0.984556i | \(-0.556015\pi\) |
−0.940185 | + | 0.340665i | \(0.889348\pi\) | |||||||
\(228\) | 1.18614 | − | 3.93398i | 0.0785541 | − | 0.260534i | ||||
\(229\) | 5.11684 | 0.338131 | 0.169065 | − | 0.985605i | \(-0.445925\pi\) | ||||
0.169065 | + | 0.985605i | \(0.445925\pi\) | |||||||
\(230\) | −1.68614 | + | 2.92048i | −0.111181 | + | 0.192571i | ||||
\(231\) | 19.9307 | + | 2.05446i | 1.31134 | + | 0.135173i | ||||
\(232\) | −2.18614 | + | 1.26217i | −0.143527 | + | 0.0828654i | ||||
\(233\) | 4.84630i | 0.317491i | 0.987320 | + | 0.158746i | \(0.0507450\pi\) | ||||
−0.987320 | + | 0.158746i | \(0.949255\pi\) | |||||||
\(234\) | 10.5584 | − | 2.34941i | 0.690226 | − | 0.153586i | ||||
\(235\) | 0.744563 | 0.0485699 | ||||||||
\(236\) | −5.31386 | + | 3.06796i | −0.345903 | + | 0.199707i | ||||
\(237\) | 11.4198 | + | 12.1518i | 0.741798 | + | 0.789345i | ||||
\(238\) | 2.18614 | + | 11.3595i | 0.141706 | + | 0.736328i | ||||
\(239\) | 15.6060 | 1.00947 | 0.504733 | − | 0.863275i | \(-0.331591\pi\) | ||||
0.504733 | + | 0.863275i | \(0.331591\pi\) | |||||||
\(240\) | 1.31386 | + | 0.396143i | 0.0848093 | + | 0.0255710i | ||||
\(241\) | −6.37228 | + | 11.0371i | −0.410475 | + | 0.710963i | −0.994942 | − | 0.100454i | \(-0.967970\pi\) |
0.584467 | + | 0.811418i | \(0.301304\pi\) | |||||||
\(242\) | 8.11684 | 0.521770 | ||||||||
\(243\) | −9.18614 | − | 12.5942i | −0.589291 | − | 0.807921i | ||||
\(244\) | −4.50000 | + | 2.59808i | −0.288083 | + | 0.166325i | ||||
\(245\) | −2.05842 | − | 5.14987i | −0.131508 | − | 0.329013i | ||||
\(246\) | −3.74456 | − | 15.9383i | −0.238745 | − | 1.01619i | ||||
\(247\) | −5.93070 | + | 6.16337i | −0.377362 | + | 0.392166i | ||||
\(248\) | 6.74456 | 0.428280 | ||||||||
\(249\) | 2.00000 | − | 1.87953i | 0.126745 | − | 0.119110i | ||||
\(250\) | 6.43070 | − | 3.71277i | 0.406713 | − | 0.234816i | ||||
\(251\) | −8.05842 | + | 13.9576i | −0.508643 | + | 0.880996i | 0.491307 | + | 0.870987i | \(0.336519\pi\) |
−0.999950 | + | 0.0100091i | \(0.996814\pi\) | |||||||
\(252\) | 3.05842 | − | 7.32435i | 0.192662 | − | 0.461390i | ||||
\(253\) | 16.1168 | + | 9.30506i | 1.01326 | + | 0.585004i | ||||
\(254\) | 1.05842 | − | 1.83324i | 0.0664113 | − | 0.115028i | ||||
\(255\) | −1.37228 | − | 5.84096i | −0.0859356 | − | 0.365775i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.44158 | − | 4.22894i | −0.152301 | − | 0.263794i | 0.779772 | − | 0.626064i | \(-0.215335\pi\) |
−0.932073 | + | 0.362270i | \(0.882002\pi\) | |||||||
\(258\) | −4.74456 | − | 5.04868i | −0.295384 | − | 0.314317i | ||||
\(259\) | −20.2337 | − | 23.3639i | −1.25726 | − | 1.45176i | ||||
\(260\) | −2.05842 | − | 1.98072i | −0.127658 | − | 0.122839i | ||||
\(261\) | −3.37228 | − | 6.78073i | −0.208739 | − | 0.419716i | ||||
\(262\) | 10.8030 | + | 18.7113i | 0.667411 | + | 1.15599i | ||||
\(263\) | 19.5475 | − | 11.2858i | 1.20535 | − | 0.695911i | 0.243613 | − | 0.969873i | \(-0.421667\pi\) |
0.961741 | + | 0.273961i | \(0.0883341\pi\) | |||||||
\(264\) | 2.18614 | − | 7.25061i | 0.134548 | − | 0.446244i | ||||
\(265\) | −1.76631 | −0.108504 | ||||||||
\(266\) | 1.18614 | + | 6.16337i | 0.0727270 | + | 0.377900i | ||||
\(267\) | 17.8139 | + | 5.37108i | 1.09019 | + | 0.328705i | ||||
\(268\) | 11.6819i | 0.713587i | ||||||||
\(269\) | 0.430703 | − | 0.746000i | 0.0262604 | − | 0.0454844i | −0.852597 | − | 0.522570i | \(-0.824973\pi\) |
0.878857 | + | 0.477085i | \(0.158307\pi\) | |||||||
\(270\) | −1.43070 | + | 3.86025i | −0.0870698 | + | 0.234927i | ||||
\(271\) | −2.00000 | − | 3.46410i | −0.121491 | − | 0.210429i | 0.798865 | − | 0.601511i | \(-0.205434\pi\) |
−0.920356 | + | 0.391082i | \(0.872101\pi\) | |||||||
\(272\) | 4.37228 | 0.265108 | ||||||||
\(273\) | −12.6168 | + | 10.6684i | −0.763606 | + | 0.645682i | ||||
\(274\) | 7.37228 | 0.445376 | ||||||||
\(275\) | −9.55842 | − | 16.5557i | −0.576395 | − | 0.998345i | ||||
\(276\) | 5.37228 | − | 5.04868i | 0.323373 | − | 0.303895i | ||||
\(277\) | −6.74456 | + | 11.6819i | −0.405241 | + | 0.701899i | −0.994350 | − | 0.106155i | \(-0.966146\pi\) |
0.589108 | + | 0.808054i | \(0.299479\pi\) | |||||||
\(278\) | 8.86263i | 0.531545i | ||||||||
\(279\) | −1.25544 | + | 20.1947i | −0.0751611 | + | 1.20903i | ||||
\(280\) | −2.05842 | + | 0.396143i | −0.123014 | + | 0.0236741i | ||||
\(281\) | 14.7446 | 0.879587 | 0.439793 | − | 0.898099i | \(-0.355052\pi\) | ||||
0.439793 | + | 0.898099i | \(0.355052\pi\) | |||||||
\(282\) | −1.55842 | − | 0.469882i | −0.0928027 | − | 0.0279811i | ||||
\(283\) | −2.05842 | + | 1.18843i | −0.122360 | + | 0.0706449i | −0.559931 | − | 0.828539i | \(-0.689172\pi\) |
0.437571 | + | 0.899184i | \(0.355839\pi\) | |||||||
\(284\) | 8.05842 | + | 13.9576i | 0.478179 | + | 0.828231i | ||||
\(285\) | −0.744563 | − | 3.16915i | −0.0441041 | − | 0.187724i | ||||
\(286\) | −10.9307 | + | 11.3595i | −0.646346 | + | 0.671703i | ||||
\(287\) | 16.3723 | + | 18.9051i | 0.966425 | + | 1.11593i | ||||
\(288\) | −2.50000 | − | 1.65831i | −0.147314 | − | 0.0977170i | ||||
\(289\) | −1.05842 | − | 1.83324i | −0.0622601 | − | 0.107838i | ||||
\(290\) | −1.00000 | + | 1.73205i | −0.0587220 | + | 0.101710i | ||||
\(291\) | −1.25544 | + | 0.294954i | −0.0735950 | + | 0.0172905i | ||||
\(292\) | 5.37228 | − | 9.30506i | 0.314389 | − | 0.544538i | ||||
\(293\) | 3.25544 | + | 1.87953i | 0.190185 | + | 0.109803i | 0.592069 | − | 0.805887i | \(-0.298311\pi\) |
−0.401884 | + | 0.915690i | \(0.631645\pi\) | |||||||
\(294\) | 1.05842 | + | 12.0781i | 0.0617284 | + | 0.704407i | ||||
\(295\) | −2.43070 | + | 4.21010i | −0.141521 | + | 0.245122i | ||||
\(296\) | −10.1168 | + | 5.84096i | −0.588030 | + | 0.339499i | ||||
\(297\) | 21.3030 | + | 7.89542i | 1.23612 | + | 0.458139i | ||||
\(298\) | −6.00000 | −0.347571 | ||||||||
\(299\) | −14.7446 | + | 4.25639i | −0.852700 | + | 0.246153i | ||||
\(300\) | −7.37228 | + | 1.73205i | −0.425639 | + | 0.100000i | ||||
\(301\) | 10.0000 | + | 3.46410i | 0.576390 | + | 0.199667i | ||||
\(302\) | −14.6168 | + | 8.43904i | −0.841105 | + | 0.485612i | ||||
\(303\) | −7.37228 | + | 24.4511i | −0.423526 | + | 1.40468i | ||||
\(304\) | 2.37228 | 0.136060 | ||||||||
\(305\) | −2.05842 | + | 3.56529i | −0.117865 | + | 0.204148i | ||||
\(306\) | −0.813859 | + | 13.0916i | −0.0465252 | + | 0.748395i | ||||
\(307\) | 21.2337 | 1.21187 | 0.605935 | − | 0.795514i | \(-0.292799\pi\) | ||||
0.605935 | + | 0.795514i | \(0.292799\pi\) | |||||||
\(308\) | 2.18614 | + | 11.3595i | 0.124567 | + | 0.647269i | ||||
\(309\) | 10.3723 | − | 9.74749i | 0.590058 | − | 0.554516i | ||||
\(310\) | 4.62772 | − | 2.67181i | 0.262837 | − | 0.151749i | ||||
\(311\) | 10.3723 | 0.588158 | 0.294079 | − | 0.955781i | \(-0.404987\pi\) | ||||
0.294079 | + | 0.955781i | \(0.404987\pi\) | |||||||
\(312\) | 3.05842 | + | 5.44482i | 0.173149 | + | 0.308252i | ||||
\(313\) | 13.8564i | 0.783210i | 0.920133 | + | 0.391605i | \(0.128080\pi\) | ||||
−0.920133 | + | 0.391605i | \(0.871920\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.802985 | − | 6.23711i | −0.0452431 | − | 0.351421i | ||||
\(316\) | −4.81386 | + | 8.33785i | −0.270801 | + | 0.469041i | ||||
\(317\) | 15.2554 | 0.856831 | 0.428415 | − | 0.903582i | \(-0.359072\pi\) | ||||
0.428415 | + | 0.903582i | \(0.359072\pi\) | |||||||
\(318\) | 3.69702 | + | 1.11469i | 0.207318 | + | 0.0625088i | ||||
\(319\) | 9.55842 | + | 5.51856i | 0.535169 | + | 0.308980i | ||||
\(320\) | 0.792287i | 0.0442902i | ||||||||
\(321\) | 1.55842 | + | 0.469882i | 0.0869826 | + | 0.0262263i | ||||
\(322\) | −3.68614 | + | 10.6410i | −0.205421 | + | 0.592998i | ||||
\(323\) | −5.18614 | − | 8.98266i | −0.288565 | − | 0.499809i | ||||
\(324\) | 5.43070 | − | 7.17687i | 0.301706 | − | 0.398715i | ||||
\(325\) | 15.3030 | + | 3.78651i | 0.848857 | + | 0.210038i | ||||
\(326\) | 10.3923i | 0.575577i | ||||||||
\(327\) | 25.1168 | − | 23.6039i | 1.38896 | − | 1.30530i | ||||
\(328\) | 8.18614 | − | 4.72627i | 0.452004 | − | 0.260965i | ||||
\(329\) | 2.44158 | − | 0.469882i | 0.134609 | − | 0.0259054i | ||||
\(330\) | −1.37228 | − | 5.84096i | −0.0755416 | − | 0.321534i | ||||
\(331\) | −1.88316 | − | 1.08724i | −0.103508 | − | 0.0597602i | 0.447353 | − | 0.894358i | \(-0.352367\pi\) |
−0.550860 | + | 0.834598i | \(0.685700\pi\) | |||||||
\(332\) | 1.37228 | + | 0.792287i | 0.0753137 | + | 0.0434824i | ||||
\(333\) | −15.6060 | − | 31.3793i | −0.855202 | − | 1.71957i | ||||
\(334\) | −5.74456 | − | 3.31662i | −0.314328 | − | 0.181478i | ||||
\(335\) | 4.62772 | + | 8.01544i | 0.252839 | + | 0.437930i | ||||
\(336\) | 4.55842 | + | 0.469882i | 0.248682 | + | 0.0256342i | ||||
\(337\) | −10.6060 | −0.577744 | −0.288872 | − | 0.957368i | \(-0.593280\pi\) | ||||
−0.288872 | + | 0.957368i | \(0.593280\pi\) | |||||||
\(338\) | −0.500000 | − | 12.9904i | −0.0271964 | − | 0.706584i | ||||
\(339\) | −1.48913 | − | 6.33830i | −0.0808782 | − | 0.344249i | ||||
\(340\) | 3.00000 | − | 1.73205i | 0.162698 | − | 0.0939336i | ||||
\(341\) | −14.7446 | − | 25.5383i | −0.798463 | − | 1.38298i | ||||
\(342\) | −0.441578 | + | 7.10313i | −0.0238778 | + | 0.384093i | ||||
\(343\) | −10.0000 | − | 15.5885i | −0.539949 | − | 0.841698i | ||||
\(344\) | 2.00000 | − | 3.46410i | 0.107833 | − | 0.186772i | ||||
\(345\) | 1.68614 | − | 5.59230i | 0.0907788 | − | 0.301079i | ||||
\(346\) | 1.88316 | 0.101239 | ||||||||
\(347\) | −18.0475 | − | 10.4198i | −0.968843 | − | 0.559362i | −0.0699597 | − | 0.997550i | \(-0.522287\pi\) |
−0.898883 | + | 0.438188i | \(0.855620\pi\) | |||||||
\(348\) | 3.18614 | − | 2.99422i | 0.170795 | − | 0.160507i | ||||
\(349\) | −10.0584 | − | 17.4217i | −0.538415 | − | 0.932562i | −0.998990 | − | 0.0449411i | \(-0.985690\pi\) |
0.460575 | − | 0.887621i | \(-0.347643\pi\) | |||||||
\(350\) | 8.74456 | − | 7.57301i | 0.467417 | − | 0.404795i | ||||
\(351\) | −16.8723 | + | 8.14409i | −0.900576 | + | 0.434699i | ||||
\(352\) | 4.37228 | 0.233043 | ||||||||
\(353\) | −25.3723 | + | 14.6487i | −1.35043 | + | 0.779671i | −0.988310 | − | 0.152460i | \(-0.951280\pi\) |
−0.362121 | + | 0.932131i | \(0.617947\pi\) | |||||||
\(354\) | 7.74456 | − | 7.27806i | 0.411619 | − | 0.386825i | ||||
\(355\) | 11.0584 | + | 6.38458i | 0.586920 | + | 0.338858i | ||||
\(356\) | 10.7422i | 0.569333i | ||||||||
\(357\) | −8.18614 | − | 18.2877i | −0.433257 | − | 0.967889i | ||||
\(358\) | −4.37228 | − | 2.52434i | −0.231082 | − | 0.133415i | ||||
\(359\) | −16.6277 | −0.877577 | −0.438789 | − | 0.898590i | \(-0.644592\pi\) | ||||
−0.438789 | + | 0.898590i | \(0.644592\pi\) | |||||||
\(360\) | −2.37228 | − | 0.147477i | −0.125030 | − | 0.00777271i | ||||
\(361\) | 6.68614 | + | 11.5807i | 0.351902 | + | 0.609512i | ||||
\(362\) | −10.5000 | + | 6.06218i | −0.551868 | + | 0.318621i | ||||
\(363\) | −13.6861 | + | 3.21543i | −0.718336 | + | 0.168767i | ||||
\(364\) | −8.00000 | − | 5.19615i | −0.419314 | − | 0.272352i | ||||
\(365\) | − | 8.51278i | − | 0.445579i | ||||||
\(366\) | 6.55842 | − | 6.16337i | 0.342814 | − | 0.322164i | ||||
\(367\) | 26.2337 | − | 15.1460i | 1.36939 | − | 0.790616i | 0.378538 | − | 0.925586i | \(-0.376427\pi\) |
0.990850 | + | 0.134970i | \(0.0430937\pi\) | |||||||
\(368\) | 3.68614 | + | 2.12819i | 0.192153 | + | 0.110940i | ||||
\(369\) | 12.6277 | + | 25.3909i | 0.657373 | + | 1.32180i | ||||
\(370\) | −4.62772 | + | 8.01544i | −0.240584 | + | 0.416703i | ||||
\(371\) | −5.79211 | + | 1.11469i | −0.300711 | + | 0.0578719i | ||||
\(372\) | −11.3723 | + | 2.67181i | −0.589625 | + | 0.138527i | ||||
\(373\) | −4.00000 | + | 6.92820i | −0.207112 | + | 0.358729i | −0.950804 | − | 0.309794i | \(-0.899740\pi\) |
0.743691 | + | 0.668523i | \(0.233073\pi\) | |||||||
\(374\) | −9.55842 | − | 16.5557i | −0.494254 | − | 0.856073i | ||||
\(375\) | −9.37228 | + | 8.80773i | −0.483983 | + | 0.454829i | ||||
\(376\) | − | 0.939764i | − | 0.0484646i | ||||||
\(377\) | −8.74456 | + | 2.52434i | −0.450368 | + | 0.130010i | ||||
\(378\) | −2.25544 | + | 13.5615i | −0.116007 | + | 0.697526i | ||||
\(379\) | −4.88316 | + | 2.81929i | −0.250831 | + | 0.144817i | −0.620145 | − | 0.784487i | \(-0.712926\pi\) |
0.369314 | + | 0.929305i | \(0.379593\pi\) | |||||||
\(380\) | 1.62772 | − | 0.939764i | 0.0835002 | − | 0.0482089i | ||||
\(381\) | −1.05842 | + | 3.51039i | −0.0542246 | + | 0.179843i | ||||
\(382\) | − | 12.2718i | − | 0.627882i | ||||||
\(383\) | −13.0693 | − | 7.54556i | −0.667810 | − | 0.385560i | 0.127436 | − | 0.991847i | \(-0.459325\pi\) |
−0.795246 | + | 0.606287i | \(0.792658\pi\) | |||||||
\(384\) | 0.500000 | − | 1.65831i | 0.0255155 | − | 0.0846254i | ||||
\(385\) | 6.00000 | + | 6.92820i | 0.305788 | + | 0.353094i | ||||
\(386\) | −11.6168 | − | 6.70699i | −0.591282 | − | 0.341377i | ||||
\(387\) | 10.0000 | + | 6.63325i | 0.508329 | + | 0.337187i | ||||
\(388\) | −0.372281 | − | 0.644810i | −0.0188997 | − | 0.0327353i | ||||
\(389\) | 29.2974i | 1.48544i | 0.669604 | + | 0.742718i | \(0.266464\pi\) | ||||
−0.669604 | + | 0.742718i | \(0.733536\pi\) | |||||||
\(390\) | 4.25544 | + | 2.52434i | 0.215482 | + | 0.127825i | ||||
\(391\) | − | 18.6101i | − | 0.941155i | ||||||
\(392\) | −6.50000 | + | 2.59808i | −0.328300 | + | 0.131223i | ||||
\(393\) | −25.6277 | − | 27.2704i | −1.29275 | − | 1.37561i | ||||
\(394\) | 12.3030 | − | 21.3094i | 0.619815 | − | 1.07355i | ||||
\(395\) | 7.62792i | 0.383802i | ||||||||
\(396\) | −0.813859 | + | 13.0916i | −0.0408980 | + | 0.657876i | ||||
\(397\) | 1.12772 | − | 1.95327i | 0.0565986 | − | 0.0980316i | −0.836338 | − | 0.548214i | \(-0.815308\pi\) |
0.892936 | + | 0.450183i | \(0.148641\pi\) | |||||||
\(398\) | 3.46410i | 0.173640i | ||||||||
\(399\) | −4.44158 | − | 9.92242i | −0.222357 | − | 0.496742i | ||||
\(400\) | −2.18614 | − | 3.78651i | −0.109307 | − | 0.189325i | ||||
\(401\) | −5.74456 | − | 9.94987i | −0.286870 | − | 0.496873i | 0.686191 | − | 0.727421i | \(-0.259281\pi\) |
−0.973061 | + | 0.230548i | \(0.925948\pi\) | |||||||
\(402\) | −4.62772 | − | 19.6974i | −0.230810 | − | 0.982415i | ||||
\(403\) | 23.6060 | + | 5.84096i | 1.17590 | + | 0.290959i | ||||
\(404\) | −14.7446 | −0.733569 | ||||||||
\(405\) | 0.883156 | − | 7.07568i | 0.0438844 | − | 0.351593i | ||||
\(406\) | −2.18614 | + | 6.31084i | −0.108496 | + | 0.313202i | ||||
\(407\) | 44.2337 | + | 25.5383i | 2.19258 | + | 1.26589i | ||||
\(408\) | −7.37228 | + | 1.73205i | −0.364982 | + | 0.0857493i | ||||
\(409\) | −10.7446 | + | 18.6101i | −0.531284 | + | 0.920212i | 0.468049 | + | 0.883703i | \(0.344957\pi\) |
−0.999333 | + | 0.0365091i | \(0.988376\pi\) | |||||||
\(410\) | 3.74456 | − | 6.48577i | 0.184931 | − | 0.320309i | ||||
\(411\) | −12.4307 | + | 2.92048i | −0.613161 | + | 0.144057i | ||||
\(412\) | 7.11684 | + | 4.10891i | 0.350622 | + | 0.202432i | ||||
\(413\) | −5.31386 | + | 15.3398i | −0.261478 | + | 0.754822i | ||||
\(414\) | −7.05842 | + | 10.6410i | −0.346903 | + | 0.522975i | ||||
\(415\) | 1.25544 | 0.0616270 | ||||||||
\(416\) | −2.50000 | + | 2.59808i | −0.122573 | + | 0.127381i | ||||
\(417\) | −3.51087 | − | 14.9436i | −0.171928 | − | 0.731794i | ||||
\(418\) | −5.18614 | − | 8.98266i | −0.253662 | − | 0.439356i | ||||
\(419\) | 2.74456 | + | 4.75372i | 0.134081 | + | 0.232235i | 0.925246 | − | 0.379368i | \(-0.123859\pi\) |
−0.791165 | + | 0.611602i | \(0.790525\pi\) | |||||||
\(420\) | 3.31386 | − | 1.48338i | 0.161700 | − | 0.0723817i | ||||
\(421\) | − | 26.8280i | − | 1.30751i | −0.756704 | − | 0.653757i | \(-0.773192\pi\) | ||
0.756704 | − | 0.653757i | \(-0.226808\pi\) | |||||||
\(422\) | −5.62772 | + | 9.74749i | −0.273953 | + | 0.474501i | ||||
\(423\) | 2.81386 | + | 0.174928i | 0.136815 | + | 0.00850530i | ||||
\(424\) | 2.22938i | 0.108268i | ||||||||
\(425\) | −9.55842 | + | 16.5557i | −0.463652 | + | 0.803068i | ||||
\(426\) | −19.1168 | − | 20.3422i | −0.926214 | − | 0.985582i | ||||
\(427\) | −4.50000 | + | 12.9904i | −0.217770 | + | 0.628649i | ||||
\(428\) | 0.939764i | 0.0454252i | ||||||||
\(429\) | 13.9307 | − | 23.4839i | 0.672581 | − | 1.13381i | ||||
\(430\) | − | 3.16915i | − | 0.152830i | ||||||
\(431\) | −12.6861 | − | 21.9730i | −0.611070 | − | 1.05840i | −0.991060 | − | 0.133414i | \(-0.957406\pi\) |
0.379991 | − | 0.924990i | \(-0.375927\pi\) | |||||||
\(432\) | 4.87228 | + | 1.80579i | 0.234418 | + | 0.0868811i | ||||
\(433\) | −21.3505 | − | 12.3267i | −1.02604 | − | 0.592385i | −0.110193 | − | 0.993910i | \(-0.535147\pi\) |
−0.915848 | + | 0.401525i | \(0.868480\pi\) | |||||||
\(434\) | 13.4891 | − | 11.6819i | 0.647499 | − | 0.560750i | ||||
\(435\) | 1.00000 | − | 3.31662i | 0.0479463 | − | 0.159020i | ||||
\(436\) | 17.2337 | + | 9.94987i | 0.825344 | + | 0.476513i | ||||
\(437\) | − | 10.0974i | − | 0.483022i | ||||||
\(438\) | −5.37228 | + | 17.8178i | −0.256698 | + | 0.851369i | ||||
\(439\) | −21.3505 | + | 12.3267i | −1.01901 | + | 0.588323i | −0.913816 | − | 0.406129i | \(-0.866878\pi\) |
−0.105190 | + | 0.994452i | \(0.533545\pi\) | |||||||
\(440\) | 3.00000 | − | 1.73205i | 0.143019 | − | 0.0825723i | ||||
\(441\) | −6.56930 | − | 19.9460i | −0.312824 | − | 0.949811i | ||||
\(442\) | 15.3030 | + | 3.78651i | 0.727889 | + | 0.180106i | ||||
\(443\) | 7.86797i | 0.373818i | 0.982377 | + | 0.186909i | \(0.0598470\pi\) | ||||
−0.982377 | + | 0.186909i | \(0.940153\pi\) | |||||||
\(444\) | 14.7446 | − | 13.8564i | 0.699746 | − | 0.657596i | ||||
\(445\) | 4.25544 | + | 7.37063i | 0.201727 | + | 0.349402i | ||||
\(446\) | 14.1168 | − | 24.4511i | 0.668452 | − | 1.15779i | ||||
\(447\) | 10.1168 | − | 2.37686i | 0.478510 | − | 0.112422i | ||||
\(448\) | 0.500000 | + | 2.59808i | 0.0236228 | + | 0.122748i | ||||
\(449\) | −19.8030 | + | 34.2998i | −0.934561 | + | 1.61871i | −0.159145 | + | 0.987255i | \(0.550874\pi\) |
−0.775416 | + | 0.631451i | \(0.782460\pi\) | |||||||
\(450\) | 11.7446 | − | 5.84096i | 0.553644 | − | 0.275346i | ||||
\(451\) | −35.7921 | − | 20.6646i | −1.68538 | − | 0.973057i | ||||
\(452\) | 3.25544 | − | 1.87953i | 0.153123 | − | 0.0884055i | ||||
\(453\) | 21.3030 | − | 20.0198i | 1.00090 | − | 0.940611i | ||||
\(454\) | 19.4024i | 0.910600i | ||||||||
\(455\) | −7.54755 | − | 0.396143i | −0.353834 | − | 0.0185715i | ||||
\(456\) | −4.00000 | + | 0.939764i | −0.187317 | + | 0.0440085i | ||||
\(457\) | 9.17527 | − | 5.29734i | 0.429201 | − | 0.247799i | −0.269805 | − | 0.962915i | \(-0.586959\pi\) |
0.699006 | + | 0.715116i | \(0.253626\pi\) | |||||||
\(458\) | −2.55842 | − | 4.43132i | −0.119547 | − | 0.207062i | ||||
\(459\) | −3.81386 | − | 22.3966i | −0.178016 | − | 1.04539i | ||||
\(460\) | 3.37228 | 0.157233 | ||||||||
\(461\) | 27.4307 | + | 15.8371i | 1.27758 | + | 0.737608i | 0.976402 | − | 0.215961i | \(-0.0692884\pi\) |
0.301173 | + | 0.953569i | \(0.402622\pi\) | |||||||
\(462\) | −8.18614 | − | 18.2877i | −0.380854 | − | 0.850822i | ||||
\(463\) | 10.8347i | 0.503533i | 0.967788 | + | 0.251766i | \(0.0810115\pi\) | ||||
−0.967788 | + | 0.251766i | \(0.918989\pi\) | |||||||
\(464\) | 2.18614 | + | 1.26217i | 0.101489 | + | 0.0585947i | ||||
\(465\) | −6.74456 | + | 6.33830i | −0.312772 | + | 0.293931i | ||||
\(466\) | 4.19702 | − | 2.42315i | 0.194423 | − | 0.112250i | ||||
\(467\) | −25.3723 | −1.17409 | −0.587045 | − | 0.809555i | \(-0.699709\pi\) | ||||
−0.587045 | + | 0.809555i | \(0.699709\pi\) | |||||||
\(468\) | −7.31386 | − | 7.96916i | −0.338083 | − | 0.368374i | ||||
\(469\) | 20.2337 | + | 23.3639i | 0.934305 | + | 1.07884i | ||||
\(470\) | −0.372281 | − | 0.644810i | −0.0171721 | − | 0.0297429i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.31386 | + | 3.06796i | 0.244590 | + | 0.141214i | ||||
\(473\) | −17.4891 | −0.804151 | ||||||||
\(474\) | 4.81386 | − | 15.9658i | 0.221108 | − | 0.733332i | ||||
\(475\) | −5.18614 | + | 8.98266i | −0.237956 | + | 0.412153i | ||||
\(476\) | 8.74456 | − | 7.57301i | 0.400806 | − | 0.347108i | ||||
\(477\) | −6.67527 | − | 0.414979i | −0.305639 | − | 0.0190006i | ||||
\(478\) | −7.80298 | − | 13.5152i | −0.356900 | − | 0.618169i | ||||
\(479\) | −2.69702 | + | 1.55712i | −0.123230 | + | 0.0711467i | −0.560348 | − | 0.828257i | \(-0.689333\pi\) |
0.437118 | + | 0.899404i | \(0.355999\pi\) | |||||||
\(480\) | −0.313859 | − | 1.33591i | −0.0143257 | − | 0.0609755i | ||||
\(481\) | −40.4674 | + | 11.6819i | −1.84515 | + | 0.532650i | ||||
\(482\) | 12.7446 | 0.580499 | ||||||||
\(483\) | 2.00000 | − | 19.4024i | 0.0910032 | − | 0.882840i | ||||
\(484\) | −4.05842 | − | 7.02939i | −0.184474 | − | 0.319518i | ||||
\(485\) | −0.510875 | − | 0.294954i | −0.0231976 | − | 0.0133932i | ||||
\(486\) | −6.31386 | + | 14.2525i | −0.286402 | + | 0.646509i | ||||
\(487\) | −26.6168 | − | 15.3672i | −1.20612 | − | 0.696356i | −0.244214 | − | 0.969721i | \(-0.578530\pi\) |
−0.961910 | + | 0.273365i | \(0.911863\pi\) | |||||||
\(488\) | 4.50000 | + | 2.59808i | 0.203705 | + | 0.117609i | ||||
\(489\) | −4.11684 | − | 17.5229i | −0.186170 | − | 0.792412i | ||||
\(490\) | −3.43070 | + | 4.35758i | −0.154983 | + | 0.196855i | ||||
\(491\) | 6.60597 | − | 3.81396i | 0.298123 | − | 0.172122i | −0.343476 | − | 0.939161i | \(-0.611604\pi\) |
0.641599 | + | 0.767040i | \(0.278271\pi\) | |||||||
\(492\) | −11.9307 | + | 11.2120i | −0.537878 | + | 0.505478i | ||||
\(493\) | − | 11.0371i | − | 0.497087i | ||||||
\(494\) | 8.30298 | + | 2.05446i | 0.373569 | + | 0.0924343i | ||||
\(495\) | 4.62772 | + | 9.30506i | 0.208000 | + | 0.418232i | ||||
\(496\) | −3.37228 | − | 5.84096i | −0.151420 | − | 0.262267i | ||||
\(497\) | 40.2921 | + | 13.9576i | 1.80735 | + | 0.626084i | ||||
\(498\) | −2.62772 | − | 0.792287i | −0.117751 | − | 0.0355032i | ||||
\(499\) | − | 16.4356i | − | 0.735761i | −0.929873 | − | 0.367880i | \(-0.880084\pi\) | ||
0.929873 | − | 0.367880i | \(-0.119916\pi\) | |||||||
\(500\) | −6.43070 | − | 3.71277i | −0.287590 | − | 0.166040i | ||||
\(501\) | 11.0000 | + | 3.31662i | 0.491444 | + | 0.148176i | ||||
\(502\) | 16.1168 | 0.719330 | ||||||||
\(503\) | 11.4891 | − | 19.8997i | 0.512275 | − | 0.887286i | −0.487624 | − | 0.873054i | \(-0.662136\pi\) |
0.999899 | − | 0.0142322i | \(-0.00453039\pi\) | |||||||
\(504\) | −7.87228 | + | 1.01350i | −0.350659 | + | 0.0451450i | ||||
\(505\) | −10.1168 | + | 5.84096i | −0.450194 | + | 0.259919i | ||||
\(506\) | − | 18.6101i | − | 0.827321i | ||||||
\(507\) | 5.98913 | + | 21.7055i | 0.265986 | + | 0.963977i | ||||
\(508\) | −2.11684 | −0.0939198 | ||||||||
\(509\) | −20.3139 | + | 11.7282i | −0.900396 | + | 0.519844i | −0.877329 | − | 0.479890i | \(-0.840677\pi\) |
−0.0230673 | + | 0.999734i | \(0.507343\pi\) | |||||||
\(510\) | −4.37228 | + | 4.10891i | −0.193608 | + | 0.181946i | ||||
\(511\) | −5.37228 | − | 27.9152i | −0.237656 | − | 1.23490i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −2.06930 | − | 12.1518i | −0.0913617 | − | 0.536515i | ||||
\(514\) | −2.44158 | + | 4.22894i | −0.107693 | + | 0.186530i | ||||
\(515\) | 6.51087 | 0.286903 | ||||||||
\(516\) | −2.00000 | + | 6.63325i | −0.0880451 | + | 0.292013i | ||||
\(517\) | −3.55842 | + | 2.05446i | −0.156499 | + | 0.0903549i | ||||
\(518\) | −10.1168 | + | 29.2048i | −0.444509 | + | 1.28319i | ||||
\(519\) | −3.17527 | + | 0.746000i | −0.139379 | + | 0.0327458i | ||||
\(520\) | −0.686141 | + | 2.77300i | −0.0300893 | + | 0.121604i | ||||
\(521\) | 1.11684 | 0.0489298 | 0.0244649 | − | 0.999701i | \(-0.492212\pi\) | ||||
0.0244649 | + | 0.999701i | \(0.492212\pi\) | |||||||
\(522\) | −4.18614 | + | 6.31084i | −0.183222 | + | 0.276218i | ||||
\(523\) | −7.50000 | + | 4.33013i | −0.327952 | + | 0.189343i | −0.654932 | − | 0.755688i | \(-0.727303\pi\) |
0.326979 | + | 0.945031i | \(0.393969\pi\) | |||||||
\(524\) | 10.8030 | − | 18.7113i | 0.471931 | − | 0.817408i | ||||
\(525\) | −11.7446 | + | 16.2333i | −0.512575 | + | 0.708478i | ||||
\(526\) | −19.5475 | − | 11.2858i | −0.852314 | − | 0.492083i | ||||
\(527\) | −14.7446 | + | 25.5383i | −0.642283 | + | 1.11247i | ||||
\(528\) | −7.37228 | + | 1.73205i | −0.320837 | + | 0.0753778i | ||||
\(529\) | −2.44158 | + | 4.22894i | −0.106156 | + | 0.183867i | ||||
\(530\) | 0.883156 | + | 1.52967i | 0.0383618 | + | 0.0664447i | ||||
\(531\) | −10.1753 | + | 15.3398i | −0.441569 | + | 0.665690i | ||||
\(532\) | 4.74456 | − | 4.10891i | 0.205703 | − | 0.178144i | ||||
\(533\) | 32.7446 | − | 9.45254i | 1.41832 | − | 0.409435i | ||||
\(534\) | −4.25544 | − | 18.1128i | −0.184151 | − | 0.783817i | ||||
\(535\) | 0.372281 | + | 0.644810i | 0.0160951 | + | 0.0278776i | ||||
\(536\) | 10.1168 | − | 5.84096i | 0.436981 | − | 0.252291i | ||||
\(537\) | 8.37228 | + | 2.52434i | 0.361291 | + | 0.108933i | ||||
\(538\) | −0.861407 | −0.0371379 | ||||||||
\(539\) | 24.0475 | + | 18.9325i | 1.03580 | + | 0.815482i | ||||
\(540\) | 4.05842 | − | 0.691097i | 0.174647 | − | 0.0297401i | ||||
\(541\) | − | 1.28962i | − | 0.0554451i | −0.999616 | − | 0.0277226i | \(-0.991175\pi\) | ||
0.999616 | − | 0.0277226i | \(-0.00882549\pi\) | |||||||
\(542\) | −2.00000 | + | 3.46410i | −0.0859074 | + | 0.148796i | ||||
\(543\) | 15.3030 | − | 14.3812i | 0.656714 | − | 0.617156i | ||||
\(544\) | −2.18614 | − | 3.78651i | −0.0937300 | − | 0.162345i | ||||
\(545\) | 15.7663 | 0.675355 | ||||||||
\(546\) | 15.5475 | + | 5.59230i | 0.665374 | + | 0.239328i | ||||
\(547\) | 8.51087 | 0.363899 | 0.181949 | − | 0.983308i | \(-0.441759\pi\) | ||||
0.181949 | + | 0.983308i | \(0.441759\pi\) | |||||||
\(548\) | −3.68614 | − | 6.38458i | −0.157464 | − | 0.272736i | ||||
\(549\) | −8.61684 | + | 12.9904i | −0.367758 | + | 0.554416i | ||||
\(550\) | −9.55842 | + | 16.5557i | −0.407572 | + | 0.705936i | ||||
\(551\) | − | 5.98844i | − | 0.255116i | ||||||
\(552\) | −7.05842 | − | 2.12819i | −0.300426 | − | 0.0905820i | ||||
\(553\) | 4.81386 | + | 25.0135i | 0.204706 | + | 1.06368i | ||||
\(554\) | 13.4891 | 0.573098 | ||||||||
\(555\) | 4.62772 | − | 15.3484i | 0.196436 | − | 0.651504i | ||||
\(556\) | 7.67527 | − | 4.43132i | 0.325504 | − | 0.187930i | ||||
\(557\) | −12.3030 | − | 21.3094i | −0.521294 | − | 0.902908i | −0.999693 | − | 0.0247655i | \(-0.992116\pi\) |
0.478399 | − | 0.878143i | \(-0.341217\pi\) | |||||||
\(558\) | 18.1168 | − | 9.01011i | 0.766947 | − | 0.381428i | ||||
\(559\) | 10.0000 | − | 10.3923i | 0.422955 | − | 0.439548i | ||||
\(560\) | 1.37228 | + | 1.58457i | 0.0579895 | + | 0.0669605i | ||||
\(561\) | 22.6753 | + | 24.1287i | 0.957350 | + | 1.01871i | ||||
\(562\) | −7.37228 | − | 12.7692i | −0.310981 | − | 0.538635i | ||||
\(563\) | 18.0000 | − | 31.1769i | 0.758610 | − | 1.31395i | −0.184950 | − | 0.982748i | \(-0.559212\pi\) |
0.943560 | − | 0.331202i | \(-0.107454\pi\) | |||||||
\(564\) | 0.372281 | + | 1.58457i | 0.0156759 | + | 0.0667226i | ||||
\(565\) | 1.48913 | − | 2.57924i | 0.0626480 | − | 0.108509i | ||||
\(566\) | 2.05842 | + | 1.18843i | 0.0865219 | + | 0.0499535i | ||||
\(567\) | −1.56930 | − | 23.7600i | −0.0659043 | − | 0.997826i | ||||
\(568\) | 8.05842 | − | 13.9576i | 0.338124 | − | 0.585648i | ||||
\(569\) | 29.6644 | − | 17.1267i | 1.24360 | − | 0.717990i | 0.273772 | − | 0.961795i | \(-0.411729\pi\) |
0.969824 | + | 0.243804i | \(0.0783955\pi\) | |||||||
\(570\) | −2.37228 | + | 2.22938i | −0.0993639 | + | 0.0933786i | ||||
\(571\) | −9.48913 | −0.397108 | −0.198554 | − | 0.980090i | \(-0.563624\pi\) | ||||
−0.198554 | + | 0.980090i | \(0.563624\pi\) | |||||||
\(572\) | 15.3030 | + | 3.78651i | 0.639850 | + | 0.158322i | ||||
\(573\) | 4.86141 | + | 20.6920i | 0.203088 | + | 0.864422i | ||||
\(574\) | 8.18614 | − | 23.6314i | 0.341683 | − | 0.986354i | ||||
\(575\) | −16.1168 | + | 9.30506i | −0.672119 | + | 0.388048i | ||||
\(576\) | −0.186141 | + | 2.99422i | −0.00775586 | + | 0.124759i | ||||
\(577\) | −5.76631 | −0.240055 | −0.120027 | − | 0.992771i | \(-0.538298\pi\) | ||||
−0.120027 | + | 0.992771i | \(0.538298\pi\) | |||||||
\(578\) | −1.05842 | + | 1.83324i | −0.0440246 | + | 0.0762528i | ||||
\(579\) | 22.2446 | + | 6.70699i | 0.924452 | + | 0.278733i | ||||
\(580\) | 2.00000 | 0.0830455 | ||||||||
\(581\) | 4.11684 | − | 0.792287i | 0.170795 | − | 0.0328696i | ||||
\(582\) | 0.883156 | + | 0.939764i | 0.0366080 | + | 0.0389545i | ||||
\(583\) | 8.44158 | − | 4.87375i | 0.349614 | − | 0.201850i | ||||
\(584\) | −10.7446 | −0.444613 | ||||||||
\(585\) | −8.17527 | − | 2.57062i | −0.338006 | − | 0.106282i | ||||
\(586\) | − | 3.75906i | − | 0.155285i | ||||||
\(587\) | −37.5475 | + | 21.6781i | −1.54975 | + | 0.894750i | −0.551593 | + | 0.834113i | \(0.685980\pi\) |
−0.998160 | + | 0.0606372i | \(0.980687\pi\) | |||||||
\(588\) | 9.93070 | − | 6.95565i | 0.409535 | − | 0.286846i | ||||
\(589\) | −8.00000 | + | 13.8564i | −0.329634 | + | 0.570943i | ||||
\(590\) | 4.86141 | 0.200141 | ||||||||
\(591\) | −12.3030 | + | 40.8044i | −0.506077 | + | 1.67847i | ||||
\(592\) | 10.1168 | + | 5.84096i | 0.415800 | + | 0.240062i | ||||
\(593\) | − | 3.11425i | − | 0.127887i | −0.997954 | − | 0.0639434i | \(-0.979632\pi\) | ||
0.997954 | − | 0.0639434i | \(-0.0203677\pi\) | |||||||
\(594\) | −3.81386 | − | 22.3966i | −0.156485 | − | 0.918945i | ||||
\(595\) | 3.00000 | − | 8.66025i | 0.122988 | − | 0.355036i | ||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | −1.37228 | − | 5.84096i | −0.0561637 | − | 0.239055i | ||||
\(598\) | 11.0584 | + | 10.6410i | 0.452213 | + | 0.435142i | ||||
\(599\) | 22.5716i | 0.922249i | 0.887335 | + | 0.461125i | \(0.152554\pi\) | ||||
−0.887335 | + | 0.461125i | \(0.847446\pi\) | |||||||
\(600\) | 5.18614 | + | 5.51856i | 0.211723 | + | 0.225294i | ||||
\(601\) | 37.1168 | − | 21.4294i | 1.51403 | − | 0.874124i | 0.514163 | − | 0.857693i | \(-0.328103\pi\) |
0.999865 | − | 0.0164316i | \(-0.00523057\pi\) | |||||||
\(602\) | −2.00000 | − | 10.3923i | −0.0815139 | − | 0.423559i | ||||
\(603\) | 15.6060 | + | 31.3793i | 0.635524 | + | 1.27786i | ||||
\(604\) | 14.6168 | + | 8.43904i | 0.594751 | + | 0.343380i | ||||
\(605\) | −5.56930 | − | 3.21543i | −0.226424 | − | 0.130726i | ||||
\(606\) | 24.8614 | − | 5.84096i | 1.00993 | − | 0.237273i | ||||
\(607\) | 30.3505 | + | 17.5229i | 1.23189 | + | 0.711232i | 0.967424 | − | 0.253163i | \(-0.0814708\pi\) |
0.264466 | + | 0.964395i | \(0.414804\pi\) | |||||||
\(608\) | −1.18614 | − | 2.05446i | −0.0481044 | − | 0.0833192i | ||||
\(609\) | 1.18614 | − | 11.5070i | 0.0480648 | − | 0.466287i | ||||
\(610\) | 4.11684 | 0.166686 | ||||||||
\(611\) | 0.813859 | − | 3.28917i | 0.0329252 | − | 0.133066i | ||||
\(612\) | 11.7446 | − | 5.84096i | 0.474746 | − | 0.236107i | ||||
\(613\) | −8.23369 | + | 4.75372i | −0.332556 | + | 0.192001i | −0.656975 | − | 0.753912i | \(-0.728164\pi\) |
0.324420 | + | 0.945913i | \(0.394831\pi\) | |||||||
\(614\) | −10.6168 | − | 18.3889i | −0.428461 | − | 0.742116i | ||||
\(615\) | −3.74456 | + | 12.4193i | −0.150995 | + | 0.500795i | ||||
\(616\) | 8.74456 | − | 7.57301i | 0.352328 | − | 0.305125i | ||||
\(617\) | −16.8030 | + | 29.1036i | −0.676463 | + | 1.17167i | 0.299576 | + | 0.954072i | \(0.403155\pi\) |
−0.976039 | + | 0.217595i | \(0.930179\pi\) | |||||||
\(618\) | −13.6277 | − | 4.10891i | −0.548187 | − | 0.165285i | ||||
\(619\) | −33.4674 | −1.34517 | −0.672584 | − | 0.740021i | \(-0.734816\pi\) | ||||
−0.672584 | + | 0.740021i | \(0.734816\pi\) | |||||||
\(620\) | −4.62772 | − | 2.67181i | −0.185854 | − | 0.107303i | ||||
\(621\) | 7.68614 | − | 20.7383i | 0.308434 | − | 0.832200i | ||||
\(622\) | −5.18614 | − | 8.98266i | −0.207945 | − | 0.360172i | ||||
\(623\) | 18.6060 | + | 21.4843i | 0.745432 | + | 0.860751i | ||||
\(624\) | 3.18614 | − | 5.37108i | 0.127548 | − | 0.215015i | ||||
\(625\) | 15.9783 | 0.639130 | ||||||||
\(626\) | 12.0000 | − | 6.92820i | 0.479616 | − | 0.276907i | ||||
\(627\) | 12.3030 | + | 13.0916i | 0.491334 | + | 0.522827i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 51.0767i | − | 2.03656i | ||||||
\(630\) | −5.00000 | + | 3.81396i | −0.199205 | + | 0.151952i | ||||
\(631\) | −28.5000 | − | 16.4545i | −1.13457 | − | 0.655043i | −0.189488 | − | 0.981883i | \(-0.560683\pi\) |
−0.945080 | + | 0.326841i | \(0.894016\pi\) | |||||||
\(632\) | 9.62772 | 0.382970 | ||||||||
\(633\) | 5.62772 | − | 18.6650i | 0.223682 | − | 0.741868i | ||||
\(634\) | −7.62772 | − | 13.2116i | −0.302935 | − | 0.524700i | ||||
\(635\) | −1.45245 | + | 0.838574i | −0.0576388 | + | 0.0332778i | ||||
\(636\) | −0.883156 | − | 3.75906i | −0.0350194 | − | 0.149056i | ||||
\(637\) | −25.0000 | + | 3.46410i | −0.990536 | + | 0.137253i | ||||
\(638\) | − | 11.0371i | − | 0.436964i | ||||||
\(639\) | 40.2921 | + | 26.7268i | 1.59393 | + | 1.05729i | ||||
\(640\) | 0.686141 | − | 0.396143i | 0.0271221 | − | 0.0156589i | ||||
\(641\) | −23.6644 | − | 13.6626i | −0.934687 | − | 0.539642i | −0.0463963 | − | 0.998923i | \(-0.514774\pi\) |
−0.888291 | + | 0.459281i | \(0.848107\pi\) | |||||||
\(642\) | −0.372281 | − | 1.58457i | −0.0146928 | − | 0.0625381i | ||||
\(643\) | −1.61684 | + | 2.80046i | −0.0637621 | + | 0.110439i | −0.896144 | − | 0.443763i | \(-0.853643\pi\) |
0.832382 | + | 0.554202i | \(0.186977\pi\) | |||||||
\(644\) | 11.0584 | − | 2.12819i | 0.435763 | − | 0.0838626i | ||||
\(645\) | 1.25544 | + | 5.34363i | 0.0494328 | + | 0.210405i | ||||
\(646\) | −5.18614 | + | 8.98266i | −0.204046 | + | 0.353418i | ||||
\(647\) | 19.9307 | + | 34.5210i | 0.783557 | + | 1.35716i | 0.929857 | + | 0.367920i | \(0.119930\pi\) |
−0.146301 | + | 0.989240i | \(0.546737\pi\) | |||||||
\(648\) | −8.93070 | − | 1.11469i | −0.350831 | − | 0.0437892i | ||||
\(649\) | − | 26.8280i | − | 1.05309i | ||||||
\(650\) | −4.37228 | − | 15.1460i | −0.171495 | − | 0.594076i | ||||
\(651\) | −18.1168 | + | 25.0410i | −0.710055 | + | 0.981434i | ||||
\(652\) | 9.00000 | − | 5.19615i | 0.352467 | − | 0.203497i | ||||
\(653\) | 9.04755 | − | 5.22360i | 0.354058 | − | 0.204415i | −0.312413 | − | 0.949946i | \(-0.601137\pi\) |
0.666471 | + | 0.745531i | \(0.267804\pi\) | |||||||
\(654\) | −33.0000 | − | 9.94987i | −1.29040 | − | 0.389071i | ||||
\(655\) | − | 17.1181i | − | 0.668861i | ||||||
\(656\) | −8.18614 | − | 4.72627i | −0.319615 | − | 0.184530i | ||||
\(657\) | 2.00000 | − | 32.1716i | 0.0780274 | − | 1.25513i | ||||
\(658\) | −1.62772 | − | 1.87953i | −0.0634551 | − | 0.0732716i | ||||
\(659\) | −37.1644 | − | 21.4569i | −1.44772 | − | 0.835841i | −0.449374 | − | 0.893344i | \(-0.648353\pi\) |
−0.998345 | + | 0.0575028i | \(0.981686\pi\) | |||||||
\(660\) | −4.37228 | + | 4.10891i | −0.170191 | + | 0.159939i | ||||
\(661\) | −10.5693 | − | 18.3066i | −0.411098 | − | 0.712043i | 0.583912 | − | 0.811817i | \(-0.301521\pi\) |
−0.995010 | + | 0.0997743i | \(0.968188\pi\) | |||||||
\(662\) | 2.17448i | 0.0845136i | ||||||||
\(663\) | −27.3030 | − | 0.322405i | −1.06036 | − | 0.0125212i | ||||
\(664\) | − | 1.58457i | − | 0.0614934i | ||||||
\(665\) | 1.62772 | − | 4.69882i | 0.0631202 | − | 0.182212i | ||||
\(666\) | −19.3723 | + | 29.2048i | −0.750661 | + | 1.13166i | ||||
\(667\) | 5.37228 | − | 9.30506i | 0.208016 | − | 0.360294i | ||||
\(668\) | 6.63325i | 0.256648i | ||||||||
\(669\) | −14.1168 | + | 46.8203i | −0.545789 | + | 1.81018i | ||||
\(670\) | 4.62772 | − | 8.01544i | 0.178784 | − | 0.309664i | ||||
\(671\) | − | 22.7190i | − | 0.877059i | ||||||
\(672\) | −1.87228 | − | 4.18265i | −0.0722248 | − | 0.161349i | ||||
\(673\) | 4.18614 | + | 7.25061i | 0.161364 | + | 0.279490i | 0.935358 | − | 0.353702i | \(-0.115077\pi\) |
−0.773994 | + | 0.633193i | \(0.781744\pi\) | |||||||
\(674\) | 5.30298 | + | 9.18504i | 0.204263 | + | 0.353794i | ||||
\(675\) | −17.4891 | + | 14.5012i | −0.673157 | + | 0.558152i | ||||
\(676\) | −11.0000 | + | 6.92820i | −0.423077 | + | 0.266469i | ||||
\(677\) | 1.37228 | 0.0527411 | 0.0263705 | − | 0.999652i | \(-0.491605\pi\) | ||||
0.0263705 | + | 0.999652i | \(0.491605\pi\) | |||||||
\(678\) | −4.74456 | + | 4.45877i | −0.182214 | + | 0.171238i | ||||
\(679\) | −1.86141 | − | 0.644810i | −0.0714342 | − | 0.0247455i | ||||
\(680\) | −3.00000 | − | 1.73205i | −0.115045 | − | 0.0664211i | ||||
\(681\) | −7.68614 | − | 32.7152i | −0.294534 | − | 1.25365i | ||||
\(682\) | −14.7446 | + | 25.5383i | −0.564598 | + | 0.977913i | ||||
\(683\) | 6.86141 | − | 11.8843i | 0.262544 | − | 0.454740i | −0.704373 | − | 0.709830i | \(-0.748772\pi\) |
0.966917 | + | 0.255090i | \(0.0821050\pi\) | |||||||
\(684\) | 6.37228 | − | 3.16915i | 0.243650 | − | 0.121175i | ||||
\(685\) | −5.05842 | − | 2.92048i | −0.193272 | − | 0.111586i | ||||
\(686\) | −8.50000 | + | 16.4545i | −0.324532 | + | 0.628235i | ||||
\(687\) | 6.06930 | + | 6.45832i | 0.231558 | + | 0.246400i | ||||
\(688\) | −4.00000 | −0.152499 | ||||||||
\(689\) | −1.93070 | + | 7.80284i | −0.0735539 | + | 0.297265i | ||||
\(690\) | −5.68614 | + | 1.33591i | −0.216468 | + | 0.0508571i | ||||
\(691\) | 10.9416 | + | 18.9514i | 0.416237 | + | 0.720944i | 0.995557 | − | 0.0941560i | \(-0.0300152\pi\) |
−0.579320 | + | 0.815100i | \(0.696682\pi\) | |||||||
\(692\) | −0.941578 | − | 1.63086i | −0.0357934 | − | 0.0619960i | ||||
\(693\) | 21.0475 | + | 27.5928i | 0.799530 | + | 1.04816i | ||||
\(694\) | 20.8395i | 0.791057i | ||||||||
\(695\) | 3.51087 | − | 6.08101i | 0.133175 | − | 0.230666i | ||||
\(696\) | −4.18614 | − | 1.26217i | −0.158675 | − | 0.0478424i | ||||
\(697\) | 41.3292i | 1.56545i | ||||||||
\(698\) | −10.0584 | + | 17.4217i | −0.380717 | + | 0.659421i | ||||
\(699\) | −6.11684 | + | 5.74839i | −0.231360 | + | 0.217424i | ||||
\(700\) | −10.9307 | − | 3.78651i | −0.413142 | − | 0.143117i | ||||
\(701\) | − | 45.3832i | − | 1.71410i | −0.515234 | − | 0.857049i | \(-0.672295\pi\) | ||
0.515234 | − | 0.857049i | \(-0.327705\pi\) | |||||||
\(702\) | 15.4891 | + | 10.5398i | 0.584599 | + | 0.397798i | ||||
\(703\) | − | 27.7128i | − | 1.04521i | ||||||
\(704\) | −2.18614 | − | 3.78651i | −0.0823933 | − | 0.142709i | ||||
\(705\) | 0.883156 | + | 0.939764i | 0.0332616 | + | 0.0353936i | ||||
\(706\) | 25.3723 | + | 14.6487i | 0.954898 | + | 0.551311i | ||||
\(707\) | −29.4891 | + | 25.5383i | −1.10905 | + | 0.960468i | ||||
\(708\) | −10.1753 | − | 3.06796i | −0.382410 | − | 0.115301i | ||||
\(709\) | −22.8832 | − | 13.2116i | −0.859395 | − | 0.496172i | 0.00441467 | − | 0.999990i | \(-0.498595\pi\) |
−0.863810 | + | 0.503818i | \(0.831928\pi\) | |||||||
\(710\) | − | 12.7692i | − | 0.479218i | ||||||
\(711\) | −1.79211 | + | 28.8275i | −0.0672094 | + | 1.08112i | ||||
\(712\) | 9.30298 | − | 5.37108i | 0.348644 | − | 0.201290i | ||||
\(713\) | −24.8614 | + | 14.3537i | −0.931067 | + | 0.537552i | ||||
\(714\) | −11.7446 | + | 16.2333i | −0.439529 | + | 0.607515i | ||||
\(715\) | 12.0000 | − | 3.46410i | 0.448775 | − | 0.129550i | ||||
\(716\) | 5.04868i | 0.188678i | ||||||||
\(717\) | 18.5109 | + | 19.6974i | 0.691301 | + | 0.735612i | ||||
\(718\) | 8.31386 | + | 14.4000i | 0.310270 | + | 0.537404i | ||||
\(719\) | 12.5584 | − | 21.7518i | 0.468350 | − | 0.811206i | −0.530996 | − | 0.847375i | \(-0.678182\pi\) |
0.999346 | + | 0.0361684i | \(0.0115153\pi\) | |||||||
\(720\) | 1.05842 | + | 2.12819i | 0.0394451 | + | 0.0793131i | ||||
\(721\) | 21.3505 | − | 4.10891i | 0.795135 | − | 0.153024i | ||||
\(722\) | 6.68614 | − | 11.5807i | 0.248832 | − | 0.430990i | ||||
\(723\) | −21.4891 | + | 5.04868i | −0.799189 | + | 0.187762i | ||||
\(724\) | 10.5000 | + | 6.06218i | 0.390229 | + | 0.225299i | ||||
\(725\) | −9.55842 | + | 5.51856i | −0.354991 | + | 0.204954i | ||||
\(726\) | 9.62772 | + | 10.2448i | 0.357318 | + | 0.380221i | ||||
\(727\) | 28.1176i | 1.04282i | 0.853305 | + | 0.521412i | \(0.174594\pi\) | ||||
−0.853305 | + | 0.521412i | \(0.825406\pi\) | |||||||
\(728\) | −0.500000 | + | 9.52628i | −0.0185312 | + | 0.353067i | ||||
\(729\) | 5.00000 | − | 26.5330i | 0.185185 | − | 0.982704i | ||||
\(730\) | −7.37228 | + | 4.25639i | −0.272860 | + | 0.157536i | ||||
\(731\) | 8.74456 | + | 15.1460i | 0.323429 | + | 0.560196i | ||||
\(732\) | −8.61684 | − | 2.59808i | −0.318488 | − | 0.0960277i | ||||
\(733\) | −43.7446 | −1.61574 | −0.807871 | − | 0.589359i | \(-0.799380\pi\) | ||||
−0.807871 | + | 0.589359i | \(0.799380\pi\) | |||||||
\(734\) | −26.2337 | − | 15.1460i | −0.968303 | − | 0.559050i | ||||
\(735\) | 4.05842 | − | 8.70654i | 0.149697 | − | 0.321146i | ||||
\(736\) | − | 4.25639i | − | 0.156893i | ||||||
\(737\) | −44.2337 | − | 25.5383i | −1.62937 | − | 0.940717i | ||||
\(738\) | 15.6753 | − | 23.6314i | 0.577015 | − | 0.869882i | ||||
\(739\) | −34.1168 | + | 19.6974i | −1.25501 | + | 0.724579i | −0.972100 | − | 0.234567i | \(-0.924633\pi\) |
−0.282909 | + | 0.959147i | \(0.591299\pi\) | |||||||
\(740\) | 9.25544 | 0.340237 | ||||||||
\(741\) | −14.8139 | − | 0.174928i | −0.544201 | − | 0.00642615i | ||||
\(742\) | 3.86141 | + | 4.45877i | 0.141757 | + | 0.163687i | ||||
\(743\) | −1.62772 | − | 2.81929i | −0.0597152 | − | 0.103430i | 0.834622 | − | 0.550823i | \(-0.185686\pi\) |
−0.894338 | + | 0.447393i | \(0.852353\pi\) | |||||||
\(744\) | 8.00000 | + | 8.51278i | 0.293294 | + | 0.312094i | ||||
\(745\) | 4.11684 | + | 2.37686i | 0.150829 | + | 0.0870814i | ||||
\(746\) | 8.00000 | 0.292901 | ||||||||
\(747\) | 4.74456 | + | 0.294954i | 0.173594 | + | 0.0107918i | ||||
\(748\) | −9.55842 | + | 16.5557i | −0.349491 | + | 0.605335i | ||||
\(749\) | 1.62772 | + | 1.87953i | 0.0594755 | + | 0.0686764i | ||||
\(750\) | 12.3139 | + | 3.71277i | 0.449639 | + | 0.135571i | ||||
\(751\) | 0.500000 | + | 0.866025i | 0.0182453 | + | 0.0316017i | 0.875004 | − | 0.484116i | \(-0.160859\pi\) |
−0.856759 | + | 0.515718i | \(0.827525\pi\) | |||||||
\(752\) | −0.813859 | + | 0.469882i | −0.0296784 | + | 0.0171348i | ||||
\(753\) | −27.1753 | + | 6.38458i | −0.990322 | + | 0.232667i | ||||
\(754\) | 6.55842 | + | 6.31084i | 0.238844 | + | 0.229827i | ||||
\(755\) | 13.3723 | 0.486667 | ||||||||
\(756\) | 12.8723 | − | 4.82746i | 0.468160 | − | 0.175573i | ||||
\(757\) | 8.86141 | + | 15.3484i | 0.322073 | + | 0.557847i | 0.980916 | − | 0.194434i | \(-0.0622869\pi\) |
−0.658842 | + | 0.752281i | \(0.728954\pi\) | |||||||
\(758\) | 4.88316 | + | 2.81929i | 0.177364 | + | 0.102401i | ||||
\(759\) | 7.37228 | + | 31.3793i | 0.267597 | + | 1.13900i | ||||
\(760\) | −1.62772 | − | 0.939764i | −0.0590436 | − | 0.0340888i | ||||
\(761\) | 3.25544 | + | 1.87953i | 0.118010 | + | 0.0681328i | 0.557843 | − | 0.829947i | \(-0.311629\pi\) |
−0.439833 | + | 0.898079i | \(0.644963\pi\) | |||||||
\(762\) | 3.56930 | − | 0.838574i | 0.129302 | − | 0.0303783i | ||||
\(763\) | 51.7011 | − | 9.94987i | 1.87170 | − | 0.360210i | ||||
\(764\) | −10.6277 | + | 6.13592i | −0.384497 | + | 0.221990i | ||||
\(765\) | 5.74456 | − | 8.66025i | 0.207695 | − | 0.313112i | ||||
\(766\) | 15.0911i | 0.545264i | ||||||||
\(767\) | 15.9416 | + | 15.3398i | 0.575617 | + | 0.553888i | ||||
\(768\) | −1.68614 | + | 0.396143i | −0.0608434 | + | 0.0142946i | ||||
\(769\) | −12.1168 | − | 20.9870i | −0.436945 | − | 0.756810i | 0.560508 | − | 0.828149i | \(-0.310606\pi\) |
−0.997452 | + | 0.0713391i | \(0.977273\pi\) | |||||||
\(770\) | 3.00000 | − | 8.66025i | 0.108112 | − | 0.312094i |