Newspace parameters
Level: | \( N \) | = | \( 8008 = 2^{3} \cdot 7 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 8008.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(63.9442019386\) |
Analytic rank: | \(1\) |
Dimension: | \(9\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{9} - \cdots)\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 1 \) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.82075\) | ||
Character | \(\chi\) | = | 8008.1 |
$q$-expansion
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.82075 | −1.62856 | −0.814282 | − | 0.580470i | \(-0.802869\pi\) | ||||
−0.814282 | + | 0.580470i | \(0.802869\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.92109 | −0.859136 | −0.429568 | − | 0.903035i | \(-0.641334\pi\) | ||||
−0.429568 | + | 0.903035i | \(0.641334\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.95665 | 1.65222 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.41891 | 1.39916 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.965104 | −0.234072 | −0.117036 | − | 0.993128i | \(-0.537339\pi\) | ||||
−0.117036 | + | 0.993128i | \(0.537339\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.09750 | 0.710616 | 0.355308 | − | 0.934749i | \(-0.384376\pi\) | ||||
0.355308 | + | 0.934749i | \(0.384376\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.82075 | 0.615539 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.72460 | −0.776632 | −0.388316 | − | 0.921526i | \(-0.626943\pi\) | ||||
−0.388316 | + | 0.921526i | \(0.626943\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.30943 | −0.261886 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.51924 | −1.06218 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.786974 | −0.146137 | −0.0730687 | − | 0.997327i | \(-0.523279\pi\) | ||||
−0.0730687 | + | 0.997327i | \(0.523279\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.78741 | 0.500633 | 0.250317 | − | 0.968164i | \(-0.419465\pi\) | ||||
0.250317 | + | 0.968164i | \(0.419465\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.82075 | −0.491030 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.92109 | 0.324723 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −10.8226 | −1.77922 | −0.889612 | − | 0.456716i | \(-0.849025\pi\) | ||||
−0.889612 | + | 0.456716i | \(0.849025\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.82075 | −0.451682 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.59093 | −0.716983 | −0.358492 | − | 0.933533i | \(-0.616709\pi\) | ||||
−0.358492 | + | 0.933533i | \(0.616709\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.94708 | −0.754423 | −0.377212 | − | 0.926127i | \(-0.623117\pi\) | ||||
−0.377212 | + | 0.926127i | \(0.623117\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.52216 | −1.41948 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.799126 | −0.116564 | −0.0582822 | − | 0.998300i | \(-0.518562\pi\) | ||||
−0.0582822 | + | 0.998300i | \(0.518562\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.72232 | 0.381201 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.50368 | −0.206547 | −0.103273 | − | 0.994653i | \(-0.532932\pi\) | ||||
−0.103273 | + | 0.994653i | \(0.532932\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.92109 | −0.259039 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8.73730 | −1.15728 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.65311 | 0.475595 | 0.237798 | − | 0.971315i | \(-0.423575\pi\) | ||||
0.237798 | + | 0.971315i | \(0.423575\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.3415 | 1.83624 | 0.918122 | − | 0.396298i | \(-0.129705\pi\) | ||||
0.918122 | + | 0.396298i | \(0.129705\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.95665 | −0.624480 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.92109 | −0.238281 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.8578 | 1.57083 | 0.785413 | − | 0.618972i | \(-0.212451\pi\) | ||||
0.785413 | + | 0.618972i | \(0.212451\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 10.5062 | 1.26480 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.44026 | 0.526962 | 0.263481 | − | 0.964665i | \(-0.415129\pi\) | ||||
0.263481 | + | 0.964665i | \(0.415129\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.16794 | −0.136697 | −0.0683484 | − | 0.997662i | \(-0.521773\pi\) | ||||
−0.0683484 | + | 0.997662i | \(0.521773\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.69358 | 0.426498 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.00000 | −0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.23904 | 1.03947 | 0.519737 | − | 0.854327i | \(-0.326030\pi\) | ||||
0.519737 | + | 0.854327i | \(0.326030\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.698463 | 0.0776070 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.28506 | 0.689875 | 0.344938 | − | 0.938626i | \(-0.387900\pi\) | ||||
0.344938 | + | 0.938626i | \(0.387900\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.85405 | 0.201100 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.21986 | 0.237994 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.46976 | 0.473793 | 0.236897 | − | 0.971535i | \(-0.423870\pi\) | ||||
0.236897 | + | 0.971535i | \(0.423870\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.00000 | −0.104828 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.86259 | −0.815313 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.95057 | −0.610516 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.50530 | 0.762048 | 0.381024 | − | 0.924565i | \(-0.375572\pi\) | ||||
0.381024 | + | 0.924565i | \(0.375572\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.95665 | 0.498163 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.12014 | 0.111459 | 0.0557293 | − | 0.998446i | \(-0.482252\pi\) | ||||
0.0557293 | + | 0.998446i | \(0.482252\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.999512 | 0.0984849 | 0.0492424 | − | 0.998787i | \(-0.484319\pi\) | ||||
0.0492424 | + | 0.998787i | \(0.484319\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.41891 | −0.528832 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.56947 | 0.538421 | 0.269210 | − | 0.963081i | \(-0.413237\pi\) | ||||
0.269210 | + | 0.963081i | \(0.413237\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.41533 | 0.135564 | 0.0677821 | − | 0.997700i | \(-0.478408\pi\) | ||||
0.0677821 | + | 0.997700i | \(0.478408\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 30.5279 | 2.89758 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.238232 | 0.0224110 | 0.0112055 | − | 0.999937i | \(-0.496433\pi\) | ||||
0.0112055 | + | 0.999937i | \(0.496433\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.15527 | 0.667233 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.95665 | 0.458243 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.965104 | 0.0884709 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 12.9499 | 1.16765 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 12.1210 | 1.08413 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.54582 | −0.225905 | −0.112952 | − | 0.993600i | \(-0.536031\pi\) | ||||
−0.112952 | + | 0.993600i | \(0.536031\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 13.9545 | 1.22863 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.05388 | 0.616300 | 0.308150 | − | 0.951338i | \(-0.400290\pi\) | ||||
0.308150 | + | 0.951338i | \(0.400290\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.09750 | −0.268588 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 10.6029 | 0.912556 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −19.1999 | −1.64036 | −0.820180 | − | 0.572106i | \(-0.806127\pi\) | ||||
−0.820180 | + | 0.572106i | \(0.806127\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.8024 | 1.25552 | 0.627762 | − | 0.778406i | \(-0.283971\pi\) | ||||
0.627762 | + | 0.778406i | \(0.283971\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.25414 | 0.189833 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.00000 | 0.0836242 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.51185 | 0.125552 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.82075 | −0.232652 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −11.2743 | −0.923623 | −0.461811 | − | 0.886978i | \(-0.652800\pi\) | ||||
−0.461811 | + | 0.886978i | \(0.652800\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.09117 | 0.332934 | 0.166467 | − | 0.986047i | \(-0.446764\pi\) | ||||
0.166467 | + | 0.986047i | \(0.446764\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.78369 | −0.386738 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.35485 | −0.430112 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.6226 | −1.00739 | −0.503696 | − | 0.863881i | \(-0.668027\pi\) | ||||
−0.503696 | + | 0.863881i | \(0.668027\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.24152 | 0.336374 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.72460 | 0.293539 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.58008 | −0.123762 | −0.0618808 | − | 0.998084i | \(-0.519710\pi\) | ||||
−0.0618808 | + | 0.998084i | \(0.519710\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.41891 | 0.421862 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.4625 | −0.809611 | −0.404805 | − | 0.914403i | \(-0.632661\pi\) | ||||
−0.404805 | + | 0.914403i | \(0.632661\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 15.3533 | 1.17409 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.90837 | 0.677291 | 0.338645 | − | 0.940914i | \(-0.390031\pi\) | ||||
0.338645 | + | 0.940914i | \(0.390031\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.30943 | 0.0989836 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −10.3045 | −0.774537 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −17.8195 | −1.33189 | −0.665947 | − | 0.745999i | \(-0.731972\pi\) | ||||
−0.665947 | + | 0.745999i | \(0.731972\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.2593 | −1.13421 | −0.567106 | − | 0.823645i | \(-0.691937\pi\) | ||||
−0.567106 | + | 0.823645i | \(0.691937\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −40.4539 | −2.99044 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 20.7911 | 1.52860 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.965104 | −0.0705754 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.51924 | 0.401466 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.6559 | 0.915751 | 0.457876 | − | 0.889016i | \(-0.348611\pi\) | ||||
0.457876 | + | 0.889016i | \(0.348611\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.9963 | −1.22342 | −0.611711 | − | 0.791081i | \(-0.709518\pi\) | ||||
−0.611711 | + | 0.791081i | \(0.709518\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.41891 | 0.388056 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.70263 | 0.691284 | 0.345642 | − | 0.938367i | \(-0.387661\pi\) | ||||
0.345642 | + | 0.938367i | \(0.387661\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.9379 | −1.34247 | −0.671235 | − | 0.741245i | \(-0.734236\pi\) | ||||
−0.671235 | + | 0.741245i | \(0.734236\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −36.2686 | −2.55819 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.786974 | 0.0552348 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.81958 | 0.615986 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −18.4615 | −1.28317 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.09750 | 0.214259 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.8938 | 0.818804 | 0.409402 | − | 0.912354i | \(-0.365737\pi\) | ||||
0.409402 | + | 0.912354i | \(0.365737\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.5249 | −0.858192 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.50377 | 0.648152 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.78741 | −0.189222 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.29447 | 0.222619 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.965104 | −0.0649199 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.973431 | 0.0651857 | 0.0325929 | − | 0.999469i | \(-0.489624\pi\) | ||||
0.0325929 | + | 0.999469i | \(0.489624\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.49039 | −0.432693 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.50622 | −0.166344 | −0.0831719 | − | 0.996535i | \(-0.526505\pi\) | ||||
−0.0831719 | + | 0.996535i | \(0.526505\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 28.9136 | 1.91066 | 0.955332 | − | 0.295534i | \(-0.0954974\pi\) | ||||
0.955332 | + | 0.295534i | \(0.0954974\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.82075 | 0.185592 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.98505 | 0.523118 | 0.261559 | − | 0.965187i | \(-0.415763\pi\) | ||||
0.261559 | + | 0.965187i | \(0.415763\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.53519 | 0.100145 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −26.0611 | −1.69285 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.12982 | 0.396505 | 0.198253 | − | 0.980151i | \(-0.436473\pi\) | ||||
0.198253 | + | 0.980151i | \(0.436473\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.12777 | −0.394725 | −0.197362 | − | 0.980331i | \(-0.563238\pi\) | ||||
−0.197362 | + | 0.980331i | \(0.563238\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.5875 | 0.935791 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.92109 | −0.122734 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.09750 | 0.197089 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.7286 | −1.12351 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.1518 | 1.01949 | 0.509747 | − | 0.860324i | \(-0.329739\pi\) | ||||
0.509747 | + | 0.860324i | \(0.329739\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.72460 | −0.234163 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.22981 | −0.327504 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −7.69320 | −0.479889 | −0.239944 | − | 0.970787i | \(-0.577129\pi\) | ||||
−0.239944 | + | 0.970787i | \(0.577129\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.8226 | 0.672484 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.90076 | −0.241451 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.1633 | −0.811681 | −0.405841 | − | 0.913944i | \(-0.633021\pi\) | ||||
−0.405841 | + | 0.913944i | \(0.633021\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.88870 | 0.177452 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.6081 | −0.771602 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.62237 | −0.0989175 | −0.0494587 | − | 0.998776i | \(-0.515750\pi\) | ||||
−0.0494587 | + | 0.998776i | \(0.515750\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.46096 | −0.210239 | −0.105119 | − | 0.994460i | \(-0.533522\pi\) | ||||
−0.105119 | + | 0.994460i | \(0.533522\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.82075 | 0.170720 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.30943 | −0.0789616 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.41294 | −0.0848954 | −0.0424477 | − | 0.999099i | \(-0.513516\pi\) | ||||
−0.0424477 | + | 0.999099i | \(0.513516\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 13.8162 | 0.827155 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.83859 | −0.467611 | −0.233806 | − | 0.972283i | \(-0.575118\pi\) | ||||
−0.233806 | + | 0.972283i | \(0.575118\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.6854 | 0.694627 | 0.347313 | − | 0.937749i | \(-0.387094\pi\) | ||||
0.347313 | + | 0.937749i | \(0.387094\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 16.7851 | 0.994263 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.59093 | 0.270994 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.0686 | −0.945210 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −21.1706 | −1.24104 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −27.1820 | −1.58799 | −0.793996 | − | 0.607923i | \(-0.792003\pi\) | ||||
−0.793996 | + | 0.607923i | \(0.792003\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.01795 | −0.408601 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.51924 | −0.320259 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.72460 | −0.215399 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.94708 | 0.285145 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.15965 | −0.181517 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −27.5513 | −1.57758 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.7444 | 1.41224 | 0.706118 | − | 0.708094i | \(-0.250445\pi\) | ||||
0.706118 | + | 0.708094i | \(0.250445\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.81938 | −0.160389 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −19.2913 | −1.09391 | −0.546956 | − | 0.837161i | \(-0.684214\pi\) | ||||
−0.546956 | + | 0.837161i | \(0.684214\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.9577 | 0.675892 | 0.337946 | − | 0.941166i | \(-0.390268\pi\) | ||||
0.337946 | + | 0.941166i | \(0.390268\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 9.52216 | 0.536513 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.9623 | 0.896531 | 0.448266 | − | 0.893900i | \(-0.352042\pi\) | ||||
0.448266 | + | 0.893900i | \(0.352042\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.786974 | −0.0440621 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −15.7101 | −0.876852 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.98941 | −0.166335 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.30943 | −0.0726341 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.99230 | −0.220775 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.799126 | 0.0440572 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −34.4160 | −1.89168 | −0.945838 | − | 0.324640i | \(-0.894757\pi\) | ||||
−0.945838 | + | 0.324640i | \(0.894757\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −53.6439 | −2.93967 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −24.7009 | −1.34955 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.86366 | 0.428361 | 0.214180 | − | 0.976794i | \(-0.431292\pi\) | ||||
0.214180 | + | 0.976794i | \(0.431292\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.671995 | −0.0364978 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.78741 | 0.150947 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −20.1833 | −1.08663 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.82358 | 0.527357 | 0.263679 | − | 0.964611i | \(-0.415064\pi\) | ||||
0.263679 | + | 0.964611i | \(0.415064\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.4893 | −1.25735 | −0.628676 | − | 0.777667i | \(-0.716403\pi\) | ||||
−0.628676 | + | 0.777667i | \(0.716403\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.51924 | −0.294595 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −12.6559 | −0.673607 | −0.336804 | − | 0.941575i | \(-0.609346\pi\) | ||||
−0.336804 | + | 0.941575i | \(0.609346\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.53013 | −0.452732 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.72232 | −0.144081 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.4424 | −0.815019 | −0.407509 | − | 0.913201i | \(-0.633603\pi\) | ||||
−0.407509 | + | 0.913201i | \(0.633603\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.40547 | −0.495025 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −2.82075 | −0.148051 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.24371 | 0.117441 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.5254 | 0.549423 | 0.274712 | − | 0.961527i | \(-0.411418\pi\) | ||||
0.274712 | + | 0.961527i | \(0.411418\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −22.7557 | −1.18461 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.50368 | 0.0780673 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 31.1512 | 1.61295 | 0.806474 | − | 0.591270i | \(-0.201373\pi\) | ||||
0.806474 | + | 0.591270i | \(0.201373\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −34.1902 | −1.76558 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.786974 | −0.0405312 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.2227 | 0.884669 | 0.442334 | − | 0.896850i | \(-0.354150\pi\) | ||||
0.442334 | + | 0.896850i | \(0.354150\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.18113 | 0.367900 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.2561 | 0.677353 | 0.338677 | − | 0.940903i | \(-0.390021\pi\) | ||||
0.338677 | + | 0.940903i | \(0.390021\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.92109 | 0.0979076 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −24.5210 | −1.24647 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −25.5281 | −1.29433 | −0.647163 | − | 0.762352i | \(-0.724045\pi\) | ||||
−0.647163 | + | 0.762352i | \(0.724045\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.59462 | 0.181788 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −19.8973 | −1.00368 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −17.7490 | −0.893049 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.14865 | −0.158026 | −0.0790131 | − | 0.996874i | \(-0.525177\pi\) | ||||
−0.0790131 | + | 0.996874i | \(0.525177\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 8.73730 | 0.437412 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.3655 | −0.867192 | −0.433596 | − | 0.901107i | \(-0.642756\pi\) | ||||
−0.433596 | + | 0.901107i | \(0.642756\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.78741 | 0.138851 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.34181 | −0.0666749 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −10.8226 | −0.536456 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.4713 | 0.567220 | 0.283610 | − | 0.958940i | \(-0.408468\pi\) | ||||
0.283610 | + | 0.958940i | \(0.408468\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 54.1582 | 2.67143 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.65311 | −0.179758 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0741 | −0.592696 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −41.7539 | −2.04470 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 30.9086 | 1.50998 | 0.754992 | − | 0.655734i | \(-0.227641\pi\) | ||||
0.754992 | + | 0.655734i | \(0.227641\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.0837 | 0.540186 | 0.270093 | − | 0.962834i | \(-0.412945\pi\) | ||||
0.270093 | + | 0.962834i | \(0.412945\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.96099 | −0.192590 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.26374 | 0.0613002 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −14.3415 | −0.694035 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.82075 | −0.136187 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.506075 | −0.0243768 | −0.0121884 | − | 0.999926i | \(-0.503880\pi\) | ||||
−0.0121884 | + | 0.999926i | \(0.503880\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.2174 | 0.779360 | 0.389680 | − | 0.920950i | \(-0.372586\pi\) | ||||
0.389680 | + | 0.920950i | \(0.372586\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.26454 | −0.204469 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −11.5370 | −0.551888 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.42312 | 0.306559 | 0.153279 | − | 0.988183i | \(-0.451017\pi\) | ||||
0.153279 | + | 0.988183i | \(0.451017\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.95665 | 0.236031 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −16.8382 | −0.800009 | −0.400005 | − | 0.916513i | \(-0.630991\pi\) | ||||
−0.400005 | + | 0.916513i | \(0.630991\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.58678 | −0.407053 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 31.8019 | 1.50418 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 34.9320 | 1.64854 | 0.824272 | − | 0.566194i | \(-0.191585\pi\) | ||||
0.824272 | + | 0.566194i | \(0.191585\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.59093 | −0.216179 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −11.5402 | −0.542205 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.92109 | 0.0900619 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.7876 | −1.29985 | −0.649925 | − | 0.759998i | \(-0.725200\pi\) | ||||
−0.649925 | + | 0.759998i | \(0.725200\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 5.32664 | 0.248626 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.2125 | −0.987963 | −0.493981 | − | 0.869472i | \(-0.664459\pi\) | ||||
−0.493981 | + | 0.869472i | \(0.664459\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −32.8563 | −1.52696 | −0.763481 | − | 0.645830i | \(-0.776511\pi\) | ||||
−0.763481 | + | 0.645830i | \(0.776511\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 15.1047 | 0.700464 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −25.1183 | −1.16233 | −0.581167 | − | 0.813784i | \(-0.697404\pi\) | ||||
−0.581167 | + | 0.813784i | \(0.697404\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.8578 | −0.593716 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 35.6052 | 1.64060 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.94708 | −0.227467 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.05596 | −0.186100 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −7.45323 | −0.341260 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −18.8332 | −0.860512 | −0.430256 | − | 0.902707i | \(-0.641577\pi\) | ||||
−0.430256 | + | 0.902707i | \(0.641577\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.8226 | −0.493468 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.5062 | −0.478048 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.4183 | −0.654702 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.9582 | −1.08565 | −0.542824 | − | 0.839847i | \(-0.682645\pi\) | ||||
−0.542824 | + | 0.839847i | \(0.682645\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 4.45703 | 0.201554 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.97873 | −0.314946 | −0.157473 | − | 0.987523i | \(-0.550335\pi\) | ||||
−0.157473 | + | 0.987523i | \(0.550335\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.759512 | 0.0342067 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −9.52216 | −0.427989 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −4.44026 | −0.199173 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.2887 | 0.550116 | 0.275058 | − | 0.961428i | \(-0.411303\pi\) | ||||
0.275058 | + | 0.961428i | \(0.411303\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 29.5121 | 1.31850 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.30018 | −0.0579722 | −0.0289861 | − | 0.999580i | \(-0.509228\pi\) | ||||
−0.0289861 | + | 0.999580i | \(0.509228\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.15189 | −0.0957581 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.82075 | −0.125274 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −24.7209 | −1.09574 | −0.547868 | − | 0.836565i | \(-0.684560\pi\) | ||||
−0.547868 | + | 0.836565i | \(0.684560\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.16794 | 0.0516665 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −17.0959 | −0.754801 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.92015 | −0.0846119 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.799126 | −0.0351455 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −25.1283 | −1.10301 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.00539 | 0.263101 | 0.131550 | − | 0.991309i | \(-0.458004\pi\) | ||||
0.131550 | + | 0.991309i | \(0.458004\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.7372 | −0.513230 | −0.256615 | − | 0.966514i | \(-0.582607\pi\) | ||||
−0.256615 | + | 0.966514i | \(0.582607\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.69358 | −0.161201 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.69014 | −0.117184 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.12737 | −0.396842 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.1072 | 0.785787 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.59093 | −0.198855 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.6994 | −0.462576 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 50.2645 | 2.16907 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.00000 | 0.0430730 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −36.1370 | −1.55365 | −0.776826 | − | 0.629715i | \(-0.783172\pi\) | ||||
−0.776826 | + | 0.629715i | \(0.783172\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 43.0426 | 1.84714 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.71897 | −0.116468 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.13682 | 0.262392 | 0.131196 | − | 0.991356i | \(-0.458118\pi\) | ||||
0.131196 | + | 0.991356i | \(0.458118\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 71.0860 | 3.03388 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.43766 | −0.103848 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.23904 | −0.392884 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −58.6467 | −2.48941 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.07144 | 0.0877696 | 0.0438848 | − | 0.999037i | \(-0.486027\pi\) | ||||
0.0438848 | + | 0.999037i | \(0.486027\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.94708 | −0.209239 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.72232 | 0.114937 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.3135 | −0.518953 | −0.259476 | − | 0.965749i | \(-0.583550\pi\) | ||||
−0.259476 | + | 0.965749i | \(0.583550\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.457665 | −0.0192541 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.698463 | −0.0293327 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.27822 | 0.137430 | 0.0687150 | − | 0.997636i | \(-0.478110\pi\) | ||||
0.0687150 | + | 0.997636i | \(0.478110\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.5889 | −0.526828 | −0.263414 | − | 0.964683i | \(-0.584849\pi\) | ||||
−0.263414 | + | 0.964683i | \(0.584849\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −35.6993 | −1.49136 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.87710 | 0.203389 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 30.3850 | 1.26494 | 0.632471 | − | 0.774584i | \(-0.282041\pi\) | ||||
0.632471 | + | 0.774584i | \(0.282041\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 47.9424 | 1.99242 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.28506 | −0.260748 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.50368 | −0.0622762 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.52216 | −0.393693 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −23.1269 | −0.954549 | −0.477275 | − | 0.878754i | \(-0.658375\pi\) | ||||
−0.477275 | + | 0.878754i | \(0.658375\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.63400 | 0.355758 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −27.3687 | −1.12580 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.0928 | −0.619785 | −0.309893 | − | 0.950772i | \(-0.600293\pi\) | ||||
−0.309893 | + | 0.950772i | \(0.600293\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.85405 | −0.0760085 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 53.4190 | 2.18630 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −45.8369 | −1.87285 | −0.936423 | − | 0.350873i | \(-0.885885\pi\) | ||||
−0.936423 | + | 0.350873i | \(0.885885\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.0710 | −0.900295 | −0.450147 | − | 0.892954i | \(-0.648629\pi\) | ||||
−0.450147 | + | 0.892954i | \(0.648629\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 63.7315 | 2.59535 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.92109 | −0.0781032 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.770767 | 0.0312845 | 0.0156422 | − | 0.999878i | \(-0.495021\pi\) | ||||
0.0156422 | + | 0.999878i | \(0.495021\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.21986 | −0.0899533 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.799126 | −0.0323292 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.3061 | −0.900935 | −0.450467 | − | 0.892793i | \(-0.648743\pi\) | ||||
−0.450467 | + | 0.892793i | \(0.648743\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −24.8779 | −1.00317 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.72611 | 0.351300 | 0.175650 | − | 0.984453i | \(-0.443797\pi\) | ||||
0.175650 | + | 0.984453i | \(0.443797\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.10198 | 0.124679 | 0.0623396 | − | 0.998055i | \(-0.480144\pi\) | ||||
0.0623396 | + | 0.998055i | \(0.480144\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 20.5570 | 0.824922 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.46976 | −0.179077 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.7382 | −0.669530 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −8.73730 | −0.348934 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 10.4449 | 0.416467 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.7298 | 0.865048 | 0.432524 | − | 0.901622i | \(-0.357623\pi\) | ||||
0.432524 | + | 0.901622i | \(0.357623\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −33.5495 | −1.33347 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.89074 | 0.194083 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.00000 | 0.0396214 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 22.0089 | 0.870657 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.59909 | −0.181653 | −0.0908265 | − | 0.995867i | \(-0.528951\pi\) | ||||
−0.0908265 | + | 0.995867i | \(0.528951\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.7546 | 0.976226 | 0.488113 | − | 0.872780i | \(-0.337685\pi\) | ||||
0.488113 | + | 0.872780i | \(0.337685\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −26.8078 | −1.05556 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.5816 | −1.08434 | −0.542172 | − | 0.840268i | \(-0.682398\pi\) | ||||
−0.542172 | + | 0.840268i | \(0.682398\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.65311 | 0.143397 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.86259 | 0.308159 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.5587 | −0.530595 | −0.265297 | − | 0.964167i | \(-0.585470\pi\) | ||||
−0.265297 | + | 0.964167i | \(0.585470\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −13.5511 | −0.529485 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −5.78906 | −0.225853 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 27.9805 | 1.08997 | 0.544983 | − | 0.838447i | \(-0.316536\pi\) | ||||
0.544983 | + | 0.838447i | \(0.316536\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.77272 | −0.107846 | −0.0539232 | − | 0.998545i | \(-0.517173\pi\) | ||||
−0.0539232 | + | 0.998545i | \(0.517173\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.72232 | 0.105726 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.95057 | 0.230753 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.93116 | 0.113495 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.74581 | −0.106159 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 14.3415 | 0.553648 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.0314 | −0.425229 | −0.212614 | − | 0.977136i | \(-0.568198\pi\) | ||||
−0.212614 | + | 0.977136i | \(0.568198\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 7.22706 | 0.278170 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.07374 | −0.156567 | −0.0782834 | − | 0.996931i | \(-0.524944\pi\) | ||||
−0.0782834 | + | 0.996931i | \(0.524944\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.50530 | −0.288027 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.06944 | 0.270901 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.4545 | −0.667878 | −0.333939 | − | 0.942595i | \(-0.608378\pi\) | ||||
−0.333939 | + | 0.942595i | \(0.608378\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.8847 | 1.40929 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −81.5582 | −3.11164 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.50368 | −0.0572857 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.95460 | 0.112398 | 0.0561992 | − | 0.998420i | \(-0.482102\pi\) | ||||
0.0561992 | + | 0.998420i | \(0.482102\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.95665 | −0.188288 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −28.4367 | −1.07866 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.43073 | 0.167826 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −22.5239 | −0.851931 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 33.6736 | 1.27184 | 0.635918 | − | 0.771757i | \(-0.280622\pi\) | ||||
0.635918 | + | 0.771757i | \(0.280622\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −33.5231 | −1.26435 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.33039 | −0.163092 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.12014 | −0.0421274 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.54524 | 0.170700 | 0.0853500 | − | 0.996351i | \(-0.472799\pi\) | ||||
0.0853500 | + | 0.996351i | \(0.472799\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 45.7947 | 1.71744 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.3820 | −0.388808 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.92109 | −0.0718445 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −17.2907 | −0.645734 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4.41887 | 0.164796 | 0.0823979 | − | 0.996600i | \(-0.473742\pi\) | ||||
0.0823979 | + | 0.996600i | \(0.473742\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.999512 | −0.0372238 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 17.2849 | 0.642834 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.03049 | 0.0382713 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.7898 | 1.10484 | 0.552422 | − | 0.833565i | \(-0.313704\pi\) | ||||
0.552422 | + | 0.833565i | \(0.313704\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.2432 | −1.60160 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.77445 | 0.176589 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.3862 | 0.568301 | 0.284150 | − | 0.958780i | \(-0.408288\pi\) | ||||
0.284150 | + | 0.958780i | \(0.408288\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 5.41891 | 0.199880 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.8578 | 0.473622 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.58332 | −0.0950291 | −0.0475146 | − | 0.998871i | \(-0.515130\pi\) | ||||
−0.0475146 | + | 0.998871i | \(0.515130\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.73730 | −0.320973 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.52107 | 0.0558028 | 0.0279014 | − | 0.999611i | \(-0.491118\pi\) | ||||
0.0279014 | + | 0.999611i | \(0.491118\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.6588 | 0.793517 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 31.1529 | 1.13982 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.56947 | −0.203504 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.78675 | 0.357124 | 0.178562 | − | 0.983929i | \(-0.442856\pi\) | ||||
0.178562 | + | 0.983929i | \(0.442856\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −45.5603 | −1.66031 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −7.85948 | −0.286036 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0214 | −1.34557 | −0.672784 | − | 0.739839i | \(-0.734902\pi\) | ||||
−0.672784 | + | 0.739839i | \(0.734902\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 10.5062 | 0.381350 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.66051 | 0.350193 | 0.175097 | − | 0.984551i | \(-0.443976\pi\) | ||||
0.175097 | + | 0.984551i | \(0.443976\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.41533 | −0.0512384 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.18987 | 0.332261 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.65311 | 0.131906 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.6345 | −0.816222 | −0.408111 | − | 0.912932i | \(-0.633812\pi\) | ||||
−0.408111 | + | 0.912932i | \(0.633812\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 21.7006 | 0.781529 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −10.4568 | −0.376107 | −0.188053 | − | 0.982159i | \(-0.560218\pi\) | ||||
−0.188053 | + | 0.982159i | \(0.560218\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.64991 | −0.131109 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −30.5279 | −1.09518 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.2204 | −0.509500 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.44026 | 0.158885 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.34350 | 0.155224 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 24.2491 | 0.865487 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.3322 | 0.653471 | 0.326735 | − | 0.945116i | \(-0.394051\pi\) | ||||
0.326735 | + | 0.945116i | \(0.394051\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 37.1303 | 1.32187 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.238232 | −0.00847057 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.3415 | 0.509282 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.14832 | −0.288991 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −41.3042 | −1.46307 | −0.731535 | − | 0.681804i | \(-0.761196\pi\) | ||||
−0.731535 | + | 0.681804i | \(0.761196\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.771239 | 0.0272845 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 22.1550 | 0.782810 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.16794 | −0.0412156 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.15527 | −0.252190 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.57630 | 0.161093 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 7.79972 | 0.274224 | 0.137112 | − | 0.990556i | \(-0.456218\pi\) | ||||
0.137112 | + | 0.990556i | \(0.456218\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.1702 | 1.72660 | 0.863300 | − | 0.504692i | \(-0.168394\pi\) | ||||
0.863300 | + | 0.504692i | \(0.168394\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.76253 | 0.342387 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.03548 | 0.106328 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.3236 | −0.536105 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.95665 | −0.173200 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 22.3354 | 0.779511 | 0.389755 | − | 0.920918i | \(-0.372560\pi\) | ||||
0.389755 | + | 0.920918i | \(0.372560\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −43.1116 | −1.50277 | −0.751387 | − | 0.659861i | \(-0.770615\pi\) | ||||
−0.751387 | + | 0.659861i | \(0.770615\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.69358 | 0.128594 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.2067 | −0.737431 | −0.368715 | − | 0.929542i | \(-0.620202\pi\) | ||||
−0.368715 | + | 0.929542i | \(0.620202\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.96521 | 0.241912 | 0.120956 | − | 0.992658i | \(-0.461404\pi\) | ||||
0.120956 | + | 0.992658i | \(0.461404\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.98556 | 0.138258 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.965104 | −0.0334389 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 20.0993 | 0.695565 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −15.3844 | −0.531762 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.8012 | −0.649090 | −0.324545 | − | 0.945870i | \(-0.605211\pi\) | ||||
−0.324545 | + | 0.945870i | \(0.605211\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.3807 | −0.978644 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 22.1107 | 0.761535 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.92109 | −0.0660874 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | −0.0343604 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.9617 | −1.13124 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 40.3098 | 1.38180 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.1583 | 0.724448 | 0.362224 | − | 0.932091i | \(-0.382018\pi\) | ||||
0.362224 | + | 0.932091i | \(0.382018\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −29.4949 | −1.00871 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −21.4458 | −0.732575 | −0.366288 | − | 0.930502i | \(-0.619371\pi\) | ||||
−0.366288 | + | 0.930502i | \(0.619371\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.6487 | −0.943360 | −0.471680 | − | 0.881770i | \(-0.656352\pi\) | ||||
−0.471680 | + | 0.881770i | \(0.656352\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.9499 | −0.441331 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.47498 | −0.254451 | −0.127226 | − | 0.991874i | \(-0.540607\pi\) | ||||
−0.127226 | + | 0.991874i | \(0.540607\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −17.1137 | −0.581885 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 45.3255 | 1.53933 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 9.23904 | 0.313413 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.8578 | 0.435669 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 37.2012 | 1.25907 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −12.1210 | −0.409763 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.3194 | −0.652368 | −0.326184 | − | 0.945306i | \(-0.605763\pi\) | ||||
−0.326184 | + | 0.945306i | \(0.605763\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 76.6739 | 2.58614 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.5591 | −0.591579 | −0.295790 | − | 0.955253i | \(-0.595583\pi\) | ||||
−0.295790 | + | 0.955253i | \(0.595583\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 48.9084 | 1.64590 | 0.822950 | − | 0.568114i | \(-0.192327\pi\) | ||||
0.822950 | + | 0.568114i | \(0.192327\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 19.7959 | 0.665432 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 17.9645 | 0.603187 | 0.301594 | − | 0.953437i | \(-0.402481\pi\) | ||||
0.301594 | + | 0.953437i | \(0.402481\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.54582 | 0.0853840 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.698463 | 0.0233994 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.47529 | −0.0828326 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 34.2328 | 1.14428 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.5062 | 0.350791 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −2.19362 | −0.0731612 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.45121 | 0.0483468 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −13.9545 | −0.464377 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 29.3144 | 0.974442 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 21.3944 | 0.710390 | 0.355195 | − | 0.934792i | \(-0.384414\pi\) | ||||
0.355195 | + | 0.934792i | \(0.384414\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.55217 | 0.184154 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −47.8635 | −1.58579 | −0.792894 | − | 0.609359i | \(-0.791427\pi\) | ||||
−0.792894 | + | 0.609359i | \(0.791427\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.28506 | 0.208005 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 77.7154 | 2.56919 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −7.05388 | −0.232940 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 44.9869 | 1.48398 | 0.741991 | − | 0.670410i | \(-0.233882\pi\) | ||||
0.741991 | + | 0.670410i | \(0.233882\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −69.7978 | −2.29992 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.44026 | 0.146153 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.1714 | 0.465954 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.95424 | 0.162719 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 21.9391 | 0.719800 | 0.359900 | − | 0.932991i | \(-0.382811\pi\) | ||||
0.359900 | + | 0.932991i | \(0.382811\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.09750 | 0.101517 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 54.4162 | 1.78151 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.85405 | 0.0606338 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −54.4149 | −1.77766 | −0.888829 | − | 0.458238i | \(-0.848481\pi\) | ||||
−0.888829 | + | 0.458238i | \(0.848481\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −33.7299 | −1.10073 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.7915 | −0.677782 | −0.338891 | − | 0.940826i | \(-0.610052\pi\) | ||||
−0.338891 | + | 0.940826i | \(0.610052\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 17.0994 | 0.556833 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −10.6029 | −0.344914 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 47.0249 | 1.52810 | 0.764052 | − | 0.645154i | \(-0.223207\pi\) | ||||
0.764052 | + | 0.645154i | \(0.223207\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.16794 | −0.0379129 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −45.0257 | −1.46006 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −13.8050 | −0.447187 | −0.223594 | − | 0.974682i | \(-0.571779\pi\) | ||||
−0.223594 | + | 0.974682i | \(0.571779\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −24.3131 | −0.786754 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 2.21986 | 0.0717579 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 19.1999 | 0.619998 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.2304 | −0.749367 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 27.6059 | 0.889588 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 32.6514 | 1.05109 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.2050 | 0.842697 | 0.421348 | − | 0.906899i | \(-0.361557\pi\) | ||||
0.421348 | + | 0.906899i | \(0.361557\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.43240 | 0.270888 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −11.9621 | −0.383883 | −0.191942 | − | 0.981406i | \(-0.561478\pi\) | ||||
−0.191942 | + | 0.981406i | \(0.561478\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.8024 | −0.474543 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.69358 | 0.118289 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 19.7252 | 0.631064 | 0.315532 | − | 0.948915i | \(-0.397817\pi\) | ||||
0.315532 | + | 0.948915i | \(0.397817\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.46976 | 0.142854 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.01531 | 0.223982 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 3.94017 | 0.125672 | 0.0628360 | − | 0.998024i | \(-0.479985\pi\) | ||||
0.0628360 | + | 0.998024i | \(0.479985\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.6396 | −0.593907 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.25414 | −0.0717500 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 18.4259 | 0.585909 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.6737 | −1.10145 | −0.550723 | − | 0.834688i | \(-0.685648\pi\) | ||||
−0.550723 | + | 0.834688i | \(0.685648\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 97.0791 | 3.08071 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 36.3813 | 1.15336 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −23.9427 | −0.758274 | −0.379137 | − | 0.925341i | \(-0.623779\pi\) | ||||
−0.379137 | + | 0.925341i | \(0.623779\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 59.7326 | 1.88985 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))