Newspace parameters
Level: | \( N \) | = | \( 8013 = 3 \cdot 2671 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 8013.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(63.9841271397\) |
Analytic rank: | \(0\) |
Dimension: | \(129\) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Character | \(\chi\) | = | 8013.1 |
$q$-expansion
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75607 | −1.94884 | −0.974419 | − | 0.224737i | \(-0.927848\pi\) | ||||
−0.974419 | + | 0.224737i | \(0.927848\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 5.59595 | 2.79797 | ||||||||
\(5\) | 0.110089 | 0.0492332 | 0.0246166 | − | 0.999697i | \(-0.492163\pi\) | ||||
0.0246166 | + | 0.999697i | \(0.492163\pi\) | |||||||
\(6\) | −2.75607 | −1.12516 | ||||||||
\(7\) | 1.43985 | 0.544211 | 0.272105 | − | 0.962267i | \(-0.412280\pi\) | ||||
0.272105 | + | 0.962267i | \(0.412280\pi\) | |||||||
\(8\) | −9.91070 | −3.50396 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.303413 | −0.0959477 | ||||||||
\(11\) | −0.0788383 | −0.0237706 | −0.0118853 | − | 0.999929i | \(-0.503783\pi\) | ||||
−0.0118853 | + | 0.999929i | \(0.503783\pi\) | |||||||
\(12\) | 5.59595 | 1.61541 | ||||||||
\(13\) | −1.19203 | −0.330608 | −0.165304 | − | 0.986243i | \(-0.552861\pi\) | ||||
−0.165304 | + | 0.986243i | \(0.552861\pi\) | |||||||
\(14\) | −3.96832 | −1.06058 | ||||||||
\(15\) | 0.110089 | 0.0284248 | ||||||||
\(16\) | 16.1227 | 4.03068 | ||||||||
\(17\) | 0.781615 | 0.189570 | 0.0947848 | − | 0.995498i | \(-0.469784\pi\) | ||||
0.0947848 | + | 0.995498i | \(0.469784\pi\) | |||||||
\(18\) | −2.75607 | −0.649613 | ||||||||
\(19\) | −2.26675 | −0.520029 | −0.260015 | − | 0.965605i | \(-0.583727\pi\) | ||||
−0.260015 | + | 0.965605i | \(0.583727\pi\) | |||||||
\(20\) | 0.616051 | 0.137753 | ||||||||
\(21\) | 1.43985 | 0.314200 | ||||||||
\(22\) | 0.217284 | 0.0463252 | ||||||||
\(23\) | −5.36820 | −1.11935 | −0.559673 | − | 0.828714i | \(-0.689073\pi\) | ||||
−0.559673 | + | 0.828714i | \(0.689073\pi\) | |||||||
\(24\) | −9.91070 | −2.02301 | ||||||||
\(25\) | −4.98788 | −0.997576 | ||||||||
\(26\) | 3.28531 | 0.644302 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 8.05730 | 1.52269 | ||||||||
\(29\) | −0.140154 | −0.0260260 | −0.0130130 | − | 0.999915i | \(-0.504142\pi\) | ||||
−0.0130130 | + | 0.999915i | \(0.504142\pi\) | |||||||
\(30\) | −0.303413 | −0.0553954 | ||||||||
\(31\) | 6.90226 | 1.23968 | 0.619841 | − | 0.784728i | \(-0.287197\pi\) | ||||
0.619841 | + | 0.784728i | \(0.287197\pi\) | |||||||
\(32\) | −24.6140 | −4.35119 | ||||||||
\(33\) | −0.0788383 | −0.0137240 | ||||||||
\(34\) | −2.15419 | −0.369441 | ||||||||
\(35\) | 0.158511 | 0.0267932 | ||||||||
\(36\) | 5.59595 | 0.932658 | ||||||||
\(37\) | 0.903661 | 0.148561 | 0.0742805 | − | 0.997237i | \(-0.476334\pi\) | ||||
0.0742805 | + | 0.997237i | \(0.476334\pi\) | |||||||
\(38\) | 6.24734 | 1.01345 | ||||||||
\(39\) | −1.19203 | −0.190877 | ||||||||
\(40\) | −1.09106 | −0.172511 | ||||||||
\(41\) | −1.92438 | −0.300537 | −0.150269 | − | 0.988645i | \(-0.548014\pi\) | ||||
−0.150269 | + | 0.988645i | \(0.548014\pi\) | |||||||
\(42\) | −3.96832 | −0.612325 | ||||||||
\(43\) | −2.72015 | −0.414819 | −0.207409 | − | 0.978254i | \(-0.566503\pi\) | ||||
−0.207409 | + | 0.978254i | \(0.566503\pi\) | |||||||
\(44\) | −0.441175 | −0.0665096 | ||||||||
\(45\) | 0.110089 | 0.0164111 | ||||||||
\(46\) | 14.7951 | 2.18143 | ||||||||
\(47\) | −0.0476025 | −0.00694354 | −0.00347177 | − | 0.999994i | \(-0.501105\pi\) | ||||
−0.00347177 | + | 0.999994i | \(0.501105\pi\) | |||||||
\(48\) | 16.1227 | 2.32711 | ||||||||
\(49\) | −4.92684 | −0.703835 | ||||||||
\(50\) | 13.7470 | 1.94412 | ||||||||
\(51\) | 0.781615 | 0.109448 | ||||||||
\(52\) | −6.67051 | −0.925033 | ||||||||
\(53\) | 3.74754 | 0.514764 | 0.257382 | − | 0.966310i | \(-0.417140\pi\) | ||||
0.257382 | + | 0.966310i | \(0.417140\pi\) | |||||||
\(54\) | −2.75607 | −0.375054 | ||||||||
\(55\) | −0.00867922 | −0.00117031 | ||||||||
\(56\) | −14.2699 | −1.90689 | ||||||||
\(57\) | −2.26675 | −0.300239 | ||||||||
\(58\) | 0.386276 | 0.0507205 | ||||||||
\(59\) | −11.1497 | −1.45157 | −0.725784 | − | 0.687923i | \(-0.758523\pi\) | ||||
−0.725784 | + | 0.687923i | \(0.758523\pi\) | |||||||
\(60\) | 0.616051 | 0.0795319 | ||||||||
\(61\) | 6.72295 | 0.860785 | 0.430393 | − | 0.902642i | \(-0.358375\pi\) | ||||
0.430393 | + | 0.902642i | \(0.358375\pi\) | |||||||
\(62\) | −19.0231 | −2.41594 | ||||||||
\(63\) | 1.43985 | 0.181404 | ||||||||
\(64\) | 35.5927 | 4.44908 | ||||||||
\(65\) | −0.131229 | −0.0162769 | ||||||||
\(66\) | 0.217284 | 0.0267458 | ||||||||
\(67\) | 9.41624 | 1.15038 | 0.575188 | − | 0.818021i | \(-0.304929\pi\) | ||||
0.575188 | + | 0.818021i | \(0.304929\pi\) | |||||||
\(68\) | 4.37388 | 0.530411 | ||||||||
\(69\) | −5.36820 | −0.646255 | ||||||||
\(70\) | −0.436868 | −0.0522157 | ||||||||
\(71\) | −2.32642 | −0.276095 | −0.138047 | − | 0.990426i | \(-0.544083\pi\) | ||||
−0.138047 | + | 0.990426i | \(0.544083\pi\) | |||||||
\(72\) | −9.91070 | −1.16799 | ||||||||
\(73\) | 15.4500 | 1.80829 | 0.904143 | − | 0.427231i | \(-0.140511\pi\) | ||||
0.904143 | + | 0.427231i | \(0.140511\pi\) | |||||||
\(74\) | −2.49056 | −0.289521 | ||||||||
\(75\) | −4.98788 | −0.575951 | ||||||||
\(76\) | −12.6846 | −1.45503 | ||||||||
\(77\) | −0.113515 | −0.0129362 | ||||||||
\(78\) | 3.28531 | 0.371988 | ||||||||
\(79\) | 7.02174 | 0.790008 | 0.395004 | − | 0.918679i | \(-0.370743\pi\) | ||||
0.395004 | + | 0.918679i | \(0.370743\pi\) | |||||||
\(80\) | 1.77493 | 0.198444 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 5.30373 | 0.585699 | ||||||||
\(83\) | 14.7129 | 1.61495 | 0.807474 | − | 0.589904i | \(-0.200834\pi\) | ||||
0.807474 | + | 0.589904i | \(0.200834\pi\) | |||||||
\(84\) | 8.05730 | 0.879123 | ||||||||
\(85\) | 0.0860472 | 0.00933312 | ||||||||
\(86\) | 7.49693 | 0.808415 | ||||||||
\(87\) | −0.140154 | −0.0150261 | ||||||||
\(88\) | 0.781342 | 0.0832914 | ||||||||
\(89\) | −16.0404 | −1.70028 | −0.850138 | − | 0.526560i | \(-0.823482\pi\) | ||||
−0.850138 | + | 0.526560i | \(0.823482\pi\) | |||||||
\(90\) | −0.303413 | −0.0319826 | ||||||||
\(91\) | −1.71633 | −0.179920 | ||||||||
\(92\) | −30.0401 | −3.13190 | ||||||||
\(93\) | 6.90226 | 0.715731 | ||||||||
\(94\) | 0.131196 | 0.0135318 | ||||||||
\(95\) | −0.249544 | −0.0256027 | ||||||||
\(96\) | −24.6140 | −2.51216 | ||||||||
\(97\) | −3.16445 | −0.321302 | −0.160651 | − | 0.987011i | \(-0.551359\pi\) | ||||
−0.160651 | + | 0.987011i | \(0.551359\pi\) | |||||||
\(98\) | 13.5787 | 1.37166 | ||||||||
\(99\) | −0.0788383 | −0.00792355 | ||||||||
\(100\) | −27.9119 | −2.79119 | ||||||||
\(101\) | 14.7029 | 1.46299 | 0.731495 | − | 0.681847i | \(-0.238823\pi\) | ||||
0.731495 | + | 0.681847i | \(0.238823\pi\) | |||||||
\(102\) | −2.15419 | −0.213297 | ||||||||
\(103\) | 7.32325 | 0.721582 | 0.360791 | − | 0.932647i | \(-0.382507\pi\) | ||||
0.360791 | + | 0.932647i | \(0.382507\pi\) | |||||||
\(104\) | 11.8138 | 1.15844 | ||||||||
\(105\) | 0.158511 | 0.0154691 | ||||||||
\(106\) | −10.3285 | −1.00319 | ||||||||
\(107\) | −19.2573 | −1.86167 | −0.930837 | − | 0.365434i | \(-0.880921\pi\) | ||||
−0.930837 | + | 0.365434i | \(0.880921\pi\) | |||||||
\(108\) | 5.59595 | 0.538470 | ||||||||
\(109\) | 2.09641 | 0.200800 | 0.100400 | − | 0.994947i | \(-0.467988\pi\) | ||||
0.100400 | + | 0.994947i | \(0.467988\pi\) | |||||||
\(110\) | 0.0239206 | 0.00228074 | ||||||||
\(111\) | 0.903661 | 0.0857717 | ||||||||
\(112\) | 23.2142 | 2.19354 | ||||||||
\(113\) | 13.8910 | 1.30675 | 0.653377 | − | 0.757032i | \(-0.273352\pi\) | ||||
0.653377 | + | 0.757032i | \(0.273352\pi\) | |||||||
\(114\) | 6.24734 | 0.585117 | ||||||||
\(115\) | −0.590979 | −0.0551090 | ||||||||
\(116\) | −0.784296 | −0.0728200 | ||||||||
\(117\) | −1.19203 | −0.110203 | ||||||||
\(118\) | 30.7294 | 2.82887 | ||||||||
\(119\) | 1.12541 | 0.103166 | ||||||||
\(120\) | −1.09106 | −0.0995995 | ||||||||
\(121\) | −10.9938 | −0.999435 | ||||||||
\(122\) | −18.5289 | −1.67753 | ||||||||
\(123\) | −1.92438 | −0.173515 | ||||||||
\(124\) | 38.6247 | 3.46860 | ||||||||
\(125\) | −1.09955 | −0.0983471 | ||||||||
\(126\) | −3.96832 | −0.353526 | ||||||||
\(127\) | 14.6191 | 1.29723 | 0.648616 | − | 0.761116i | \(-0.275348\pi\) | ||||
0.648616 | + | 0.761116i | \(0.275348\pi\) | |||||||
\(128\) | −48.8680 | −4.31936 | ||||||||
\(129\) | −2.72015 | −0.239496 | ||||||||
\(130\) | 0.361676 | 0.0317211 | ||||||||
\(131\) | −0.117046 | −0.0102263 | −0.00511316 | − | 0.999987i | \(-0.501628\pi\) | ||||
−0.00511316 | + | 0.999987i | \(0.501628\pi\) | |||||||
\(132\) | −0.441175 | −0.0383993 | ||||||||
\(133\) | −3.26378 | −0.283005 | ||||||||
\(134\) | −25.9519 | −2.24190 | ||||||||
\(135\) | 0.110089 | 0.00947494 | ||||||||
\(136\) | −7.74635 | −0.664244 | ||||||||
\(137\) | 17.2615 | 1.47475 | 0.737376 | − | 0.675482i | \(-0.236065\pi\) | ||||
0.737376 | + | 0.675482i | \(0.236065\pi\) | |||||||
\(138\) | 14.7951 | 1.25945 | ||||||||
\(139\) | 4.71172 | 0.399643 | 0.199821 | − | 0.979832i | \(-0.435964\pi\) | ||||
0.199821 | + | 0.979832i | \(0.435964\pi\) | |||||||
\(140\) | 0.887019 | 0.0749668 | ||||||||
\(141\) | −0.0476025 | −0.00400885 | ||||||||
\(142\) | 6.41178 | 0.538065 | ||||||||
\(143\) | 0.0939772 | 0.00785877 | ||||||||
\(144\) | 16.1227 | 1.34356 | ||||||||
\(145\) | −0.0154294 | −0.00128134 | ||||||||
\(146\) | −42.5813 | −3.52406 | ||||||||
\(147\) | −4.92684 | −0.406359 | ||||||||
\(148\) | 5.05684 | 0.415669 | ||||||||
\(149\) | −14.3317 | −1.17410 | −0.587048 | − | 0.809552i | \(-0.699710\pi\) | ||||
−0.587048 | + | 0.809552i | \(0.699710\pi\) | |||||||
\(150\) | 13.7470 | 1.12244 | ||||||||
\(151\) | −18.5093 | −1.50627 | −0.753134 | − | 0.657867i | \(-0.771459\pi\) | ||||
−0.753134 | + | 0.657867i | \(0.771459\pi\) | |||||||
\(152\) | 22.4651 | 1.82216 | ||||||||
\(153\) | 0.781615 | 0.0631899 | ||||||||
\(154\) | 0.312856 | 0.0252106 | ||||||||
\(155\) | 0.759862 | 0.0610336 | ||||||||
\(156\) | −6.67051 | −0.534068 | ||||||||
\(157\) | −8.08169 | −0.644989 | −0.322494 | − | 0.946571i | \(-0.604521\pi\) | ||||
−0.322494 | + | 0.946571i | \(0.604521\pi\) | |||||||
\(158\) | −19.3524 | −1.53960 | ||||||||
\(159\) | 3.74754 | 0.297199 | ||||||||
\(160\) | −2.70973 | −0.214223 | ||||||||
\(161\) | −7.72937 | −0.609160 | ||||||||
\(162\) | −2.75607 | −0.216538 | ||||||||
\(163\) | 23.1826 | 1.81580 | 0.907902 | − | 0.419182i | \(-0.137683\pi\) | ||||
0.907902 | + | 0.419182i | \(0.137683\pi\) | |||||||
\(164\) | −10.7687 | −0.840896 | ||||||||
\(165\) | −0.00867922 | −0.000675676 0 | ||||||||
\(166\) | −40.5498 | −3.14727 | ||||||||
\(167\) | 6.08845 | 0.471138 | 0.235569 | − | 0.971858i | \(-0.424305\pi\) | ||||
0.235569 | + | 0.971858i | \(0.424305\pi\) | |||||||
\(168\) | −14.2699 | −1.10094 | ||||||||
\(169\) | −11.5791 | −0.890698 | ||||||||
\(170\) | −0.237152 | −0.0181888 | ||||||||
\(171\) | −2.26675 | −0.173343 | ||||||||
\(172\) | −15.2218 | −1.16065 | ||||||||
\(173\) | 11.1913 | 0.850856 | 0.425428 | − | 0.904992i | \(-0.360124\pi\) | ||||
0.425428 | + | 0.904992i | \(0.360124\pi\) | |||||||
\(174\) | 0.386276 | 0.0292835 | ||||||||
\(175\) | −7.18178 | −0.542891 | ||||||||
\(176\) | −1.27109 | −0.0958119 | ||||||||
\(177\) | −11.1497 | −0.838063 | ||||||||
\(178\) | 44.2085 | 3.31356 | ||||||||
\(179\) | 2.79118 | 0.208622 | 0.104311 | − | 0.994545i | \(-0.466736\pi\) | ||||
0.104311 | + | 0.994545i | \(0.466736\pi\) | |||||||
\(180\) | 0.616051 | 0.0459178 | ||||||||
\(181\) | 24.8091 | 1.84405 | 0.922023 | − | 0.387134i | \(-0.126535\pi\) | ||||
0.922023 | + | 0.387134i | \(0.126535\pi\) | |||||||
\(182\) | 4.73034 | 0.350636 | ||||||||
\(183\) | 6.72295 | 0.496975 | ||||||||
\(184\) | 53.2026 | 3.92214 | ||||||||
\(185\) | 0.0994830 | 0.00731414 | ||||||||
\(186\) | −19.0231 | −1.39484 | ||||||||
\(187\) | −0.0616212 | −0.00450619 | ||||||||
\(188\) | −0.266381 | −0.0194278 | ||||||||
\(189\) | 1.43985 | 0.104733 | ||||||||
\(190\) | 0.687763 | 0.0498956 | ||||||||
\(191\) | 9.31265 | 0.673840 | 0.336920 | − | 0.941533i | \(-0.390615\pi\) | ||||
0.336920 | + | 0.941533i | \(0.390615\pi\) | |||||||
\(192\) | 35.5927 | 2.56868 | ||||||||
\(193\) | 5.43914 | 0.391518 | 0.195759 | − | 0.980652i | \(-0.437283\pi\) | ||||
0.195759 | + | 0.980652i | \(0.437283\pi\) | |||||||
\(194\) | 8.72147 | 0.626165 | ||||||||
\(195\) | −0.131229 | −0.00939748 | ||||||||
\(196\) | −27.5704 | −1.96931 | ||||||||
\(197\) | 13.1030 | 0.933550 | 0.466775 | − | 0.884376i | \(-0.345416\pi\) | ||||
0.466775 | + | 0.884376i | \(0.345416\pi\) | |||||||
\(198\) | 0.217284 | 0.0154417 | ||||||||
\(199\) | 19.9869 | 1.41683 | 0.708415 | − | 0.705796i | \(-0.249410\pi\) | ||||
0.708415 | + | 0.705796i | \(0.249410\pi\) | |||||||
\(200\) | 49.4334 | 3.49547 | ||||||||
\(201\) | 9.41624 | 0.664170 | ||||||||
\(202\) | −40.5222 | −2.85113 | ||||||||
\(203\) | −0.201801 | −0.0141636 | ||||||||
\(204\) | 4.37388 | 0.306233 | ||||||||
\(205\) | −0.211853 | −0.0147964 | ||||||||
\(206\) | −20.1834 | −1.40625 | ||||||||
\(207\) | −5.36820 | −0.373115 | ||||||||
\(208\) | −19.2187 | −1.33258 | ||||||||
\(209\) | 0.178707 | 0.0123614 | ||||||||
\(210\) | −0.436868 | −0.0301468 | ||||||||
\(211\) | 18.8138 | 1.29519 | 0.647596 | − | 0.761984i | \(-0.275774\pi\) | ||||
0.647596 | + | 0.761984i | \(0.275774\pi\) | |||||||
\(212\) | 20.9710 | 1.44030 | ||||||||
\(213\) | −2.32642 | −0.159403 | ||||||||
\(214\) | 53.0746 | 3.62810 | ||||||||
\(215\) | −0.299458 | −0.0204229 | ||||||||
\(216\) | −9.91070 | −0.674337 | ||||||||
\(217\) | 9.93818 | 0.674648 | ||||||||
\(218\) | −5.77786 | −0.391326 | ||||||||
\(219\) | 15.4500 | 1.04401 | ||||||||
\(220\) | −0.0485685 | −0.00327448 | ||||||||
\(221\) | −0.931705 | −0.0626733 | ||||||||
\(222\) | −2.49056 | −0.167155 | ||||||||
\(223\) | 4.35219 | 0.291444 | 0.145722 | − | 0.989326i | \(-0.453449\pi\) | ||||
0.145722 | + | 0.989326i | \(0.453449\pi\) | |||||||
\(224\) | −35.4404 | −2.36796 | ||||||||
\(225\) | −4.98788 | −0.332525 | ||||||||
\(226\) | −38.2846 | −2.54665 | ||||||||
\(227\) | −3.16005 | −0.209740 | −0.104870 | − | 0.994486i | \(-0.533443\pi\) | ||||
−0.104870 | + | 0.994486i | \(0.533443\pi\) | |||||||
\(228\) | −12.6846 | −0.840061 | ||||||||
\(229\) | 9.94671 | 0.657297 | 0.328648 | − | 0.944452i | \(-0.393407\pi\) | ||||
0.328648 | + | 0.944452i | \(0.393407\pi\) | |||||||
\(230\) | 1.62878 | 0.107399 | ||||||||
\(231\) | −0.113515 | −0.00746874 | ||||||||
\(232\) | 1.38903 | 0.0911941 | ||||||||
\(233\) | 21.4661 | 1.40629 | 0.703144 | − | 0.711048i | \(-0.251779\pi\) | ||||
0.703144 | + | 0.711048i | \(0.251779\pi\) | |||||||
\(234\) | 3.28531 | 0.214767 | ||||||||
\(235\) | −0.00524050 | −0.000341853 0 | ||||||||
\(236\) | −62.3931 | −4.06145 | ||||||||
\(237\) | 7.02174 | 0.456111 | ||||||||
\(238\) | −3.10170 | −0.201053 | ||||||||
\(239\) | 7.65270 | 0.495012 | 0.247506 | − | 0.968886i | \(-0.420389\pi\) | ||||
0.247506 | + | 0.968886i | \(0.420389\pi\) | |||||||
\(240\) | 1.77493 | 0.114571 | ||||||||
\(241\) | 17.1582 | 1.10526 | 0.552628 | − | 0.833428i | \(-0.313625\pi\) | ||||
0.552628 | + | 0.833428i | \(0.313625\pi\) | |||||||
\(242\) | 30.2997 | 1.94774 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 37.6213 | 2.40845 | ||||||||
\(245\) | −0.542391 | −0.0346521 | ||||||||
\(246\) | 5.30373 | 0.338153 | ||||||||
\(247\) | 2.70203 | 0.171926 | ||||||||
\(248\) | −68.4062 | −4.34380 | ||||||||
\(249\) | 14.7129 | 0.932390 | ||||||||
\(250\) | 3.03045 | 0.191663 | ||||||||
\(251\) | 7.62276 | 0.481144 | 0.240572 | − | 0.970631i | \(-0.422665\pi\) | ||||
0.240572 | + | 0.970631i | \(0.422665\pi\) | |||||||
\(252\) | 8.05730 | 0.507562 | ||||||||
\(253\) | 0.423219 | 0.0266076 | ||||||||
\(254\) | −40.2912 | −2.52810 | ||||||||
\(255\) | 0.0860472 | 0.00538848 | ||||||||
\(256\) | 63.4984 | 3.96865 | ||||||||
\(257\) | 21.4895 | 1.34048 | 0.670241 | − | 0.742144i | \(-0.266191\pi\) | ||||
0.670241 | + | 0.742144i | \(0.266191\pi\) | |||||||
\(258\) | 7.49693 | 0.466739 | ||||||||
\(259\) | 1.30113 | 0.0808484 | ||||||||
\(260\) | −0.734349 | −0.0455424 | ||||||||
\(261\) | −0.140154 | −0.00867533 | ||||||||
\(262\) | 0.322586 | 0.0199294 | ||||||||
\(263\) | −2.73623 | −0.168723 | −0.0843614 | − | 0.996435i | \(-0.526885\pi\) | ||||
−0.0843614 | + | 0.996435i | \(0.526885\pi\) | |||||||
\(264\) | 0.781342 | 0.0480883 | ||||||||
\(265\) | 0.412563 | 0.0253435 | ||||||||
\(266\) | 8.99521 | 0.551532 | ||||||||
\(267\) | −16.0404 | −0.981655 | ||||||||
\(268\) | 52.6928 | 3.21872 | ||||||||
\(269\) | −25.7350 | −1.56909 | −0.784546 | − | 0.620071i | \(-0.787104\pi\) | ||||
−0.784546 | + | 0.620071i | \(0.787104\pi\) | |||||||
\(270\) | −0.303413 | −0.0184651 | ||||||||
\(271\) | 26.7687 | 1.62608 | 0.813042 | − | 0.582205i | \(-0.197810\pi\) | ||||
0.813042 | + | 0.582205i | \(0.197810\pi\) | |||||||
\(272\) | 12.6018 | 0.764094 | ||||||||
\(273\) | −1.71633 | −0.103877 | ||||||||
\(274\) | −47.5741 | −2.87406 | ||||||||
\(275\) | 0.393236 | 0.0237130 | ||||||||
\(276\) | −30.0401 | −1.80820 | ||||||||
\(277\) | −21.8169 | −1.31085 | −0.655425 | − | 0.755260i | \(-0.727510\pi\) | ||||
−0.655425 | + | 0.755260i | \(0.727510\pi\) | |||||||
\(278\) | −12.9858 | −0.778839 | ||||||||
\(279\) | 6.90226 | 0.413227 | ||||||||
\(280\) | −1.57095 | −0.0938825 | ||||||||
\(281\) | −5.15863 | −0.307738 | −0.153869 | − | 0.988091i | \(-0.549173\pi\) | ||||
−0.153869 | + | 0.988091i | \(0.549173\pi\) | |||||||
\(282\) | 0.131196 | 0.00781261 | ||||||||
\(283\) | −13.2745 | −0.789090 | −0.394545 | − | 0.918877i | \(-0.629098\pi\) | ||||
−0.394545 | + | 0.918877i | \(0.629098\pi\) | |||||||
\(284\) | −13.0185 | −0.772506 | ||||||||
\(285\) | −0.249544 | −0.0147817 | ||||||||
\(286\) | −0.259008 | −0.0153155 | ||||||||
\(287\) | −2.77081 | −0.163556 | ||||||||
\(288\) | −24.6140 | −1.45040 | ||||||||
\(289\) | −16.3891 | −0.964063 | ||||||||
\(290\) | 0.0425246 | 0.00249713 | ||||||||
\(291\) | −3.16445 | −0.185504 | ||||||||
\(292\) | 86.4573 | 5.05953 | ||||||||
\(293\) | 25.2928 | 1.47762 | 0.738810 | − | 0.673914i | \(-0.235388\pi\) | ||||
0.738810 | + | 0.673914i | \(0.235388\pi\) | |||||||
\(294\) | 13.5787 | 0.791929 | ||||||||
\(295\) | −1.22746 | −0.0714654 | ||||||||
\(296\) | −8.95591 | −0.520552 | ||||||||
\(297\) | −0.0788383 | −0.00457466 | ||||||||
\(298\) | 39.4992 | 2.28812 | ||||||||
\(299\) | 6.39902 | 0.370065 | ||||||||
\(300\) | −27.9119 | −1.61150 | ||||||||
\(301\) | −3.91660 | −0.225749 | ||||||||
\(302\) | 51.0131 | 2.93547 | ||||||||
\(303\) | 14.7029 | 0.844658 | ||||||||
\(304\) | −36.5463 | −2.09607 | ||||||||
\(305\) | 0.740122 | 0.0423793 | ||||||||
\(306\) | −2.15419 | −0.123147 | ||||||||
\(307\) | 8.87263 | 0.506388 | 0.253194 | − | 0.967416i | \(-0.418519\pi\) | ||||
0.253194 | + | 0.967416i | \(0.418519\pi\) | |||||||
\(308\) | −0.635224 | −0.0361952 | ||||||||
\(309\) | 7.32325 | 0.416605 | ||||||||
\(310\) | −2.09424 | −0.118945 | ||||||||
\(311\) | −12.6628 | −0.718043 | −0.359022 | − | 0.933329i | \(-0.616890\pi\) | ||||
−0.359022 | + | 0.933329i | \(0.616890\pi\) | |||||||
\(312\) | 11.8138 | 0.668825 | ||||||||
\(313\) | 3.64883 | 0.206244 | 0.103122 | − | 0.994669i | \(-0.467117\pi\) | ||||
0.103122 | + | 0.994669i | \(0.467117\pi\) | |||||||
\(314\) | 22.2737 | 1.25698 | ||||||||
\(315\) | 0.158511 | 0.00893108 | ||||||||
\(316\) | 39.2933 | 2.21042 | ||||||||
\(317\) | 18.4750 | 1.03766 | 0.518829 | − | 0.854878i | \(-0.326368\pi\) | ||||
0.518829 | + | 0.854878i | \(0.326368\pi\) | |||||||
\(318\) | −10.3285 | −0.579194 | ||||||||
\(319\) | 0.0110495 | 0.000618655 0 | ||||||||
\(320\) | 3.91836 | 0.219043 | ||||||||
\(321\) | −19.2573 | −1.07484 | ||||||||
\(322\) | 21.3027 | 1.18715 | ||||||||
\(323\) | −1.77173 | −0.0985817 | ||||||||
\(324\) | 5.59595 | 0.310886 | ||||||||
\(325\) | 5.94568 | 0.329807 | ||||||||
\(326\) | −63.8931 | −3.53871 | ||||||||
\(327\) | 2.09641 | 0.115932 | ||||||||
\(328\) | 19.0719 | 1.05307 | ||||||||
\(329\) | −0.0685402 | −0.00377875 | ||||||||
\(330\) | 0.0239206 | 0.00131678 | ||||||||
\(331\) | −32.1696 | −1.76820 | −0.884101 | − | 0.467296i | \(-0.845228\pi\) | ||||
−0.884101 | + | 0.467296i | \(0.845228\pi\) | |||||||
\(332\) | 82.3324 | 4.51858 | ||||||||
\(333\) | 0.903661 | 0.0495203 | ||||||||
\(334\) | −16.7802 | −0.918173 | ||||||||
\(335\) | 1.03662 | 0.0566368 | ||||||||
\(336\) | 23.2142 | 1.26644 | ||||||||
\(337\) | −19.3712 | −1.05522 | −0.527609 | − | 0.849487i | \(-0.676912\pi\) | ||||
−0.527609 | + | 0.849487i | \(0.676912\pi\) | |||||||
\(338\) | 31.9128 | 1.73583 | ||||||||
\(339\) | 13.8910 | 0.754455 | ||||||||
\(340\) | 0.481515 | 0.0261138 | ||||||||
\(341\) | −0.544162 | −0.0294680 | ||||||||
\(342\) | 6.24734 | 0.337818 | ||||||||
\(343\) | −17.1728 | −0.927245 | ||||||||
\(344\) | 26.9586 | 1.45351 | ||||||||
\(345\) | −0.590979 | −0.0318172 | ||||||||
\(346\) | −30.8439 | −1.65818 | ||||||||
\(347\) | 3.43557 | 0.184431 | 0.0922155 | − | 0.995739i | \(-0.470605\pi\) | ||||
0.0922155 | + | 0.995739i | \(0.470605\pi\) | |||||||
\(348\) | −0.784296 | −0.0420427 | ||||||||
\(349\) | 17.0909 | 0.914857 | 0.457429 | − | 0.889246i | \(-0.348771\pi\) | ||||
0.457429 | + | 0.889246i | \(0.348771\pi\) | |||||||
\(350\) | 19.7935 | 1.05801 | ||||||||
\(351\) | −1.19203 | −0.0636256 | ||||||||
\(352\) | 1.94053 | 0.103431 | ||||||||
\(353\) | 28.3332 | 1.50803 | 0.754013 | − | 0.656859i | \(-0.228115\pi\) | ||||
0.754013 | + | 0.656859i | \(0.228115\pi\) | |||||||
\(354\) | 30.7294 | 1.63325 | ||||||||
\(355\) | −0.256113 | −0.0135930 | ||||||||
\(356\) | −89.7611 | −4.75733 | ||||||||
\(357\) | 1.12541 | 0.0595628 | ||||||||
\(358\) | −7.69269 | −0.406571 | ||||||||
\(359\) | 9.50107 | 0.501447 | 0.250724 | − | 0.968059i | \(-0.419331\pi\) | ||||
0.250724 | + | 0.968059i | \(0.419331\pi\) | |||||||
\(360\) | −1.09106 | −0.0575038 | ||||||||
\(361\) | −13.8618 | −0.729570 | ||||||||
\(362\) | −68.3758 | −3.59375 | ||||||||
\(363\) | −10.9938 | −0.577024 | ||||||||
\(364\) | −9.60450 | −0.503413 | ||||||||
\(365\) | 1.70087 | 0.0890277 | ||||||||
\(366\) | −18.5289 | −0.968524 | ||||||||
\(367\) | −22.7474 | −1.18740 | −0.593702 | − | 0.804685i | \(-0.702334\pi\) | ||||
−0.593702 | + | 0.804685i | \(0.702334\pi\) | |||||||
\(368\) | −86.5499 | −4.51173 | ||||||||
\(369\) | −1.92438 | −0.100179 | ||||||||
\(370\) | −0.274183 | −0.0142541 | ||||||||
\(371\) | 5.39588 | 0.280140 | ||||||||
\(372\) | 38.6247 | 2.00260 | ||||||||
\(373\) | 20.8796 | 1.08111 | 0.540553 | − | 0.841310i | \(-0.318215\pi\) | ||||
0.540553 | + | 0.841310i | \(0.318215\pi\) | |||||||
\(374\) | 0.169833 | 0.00878184 | ||||||||
\(375\) | −1.09955 | −0.0567808 | ||||||||
\(376\) | 0.471774 | 0.0243299 | ||||||||
\(377\) | 0.167067 | 0.00860441 | ||||||||
\(378\) | −3.96832 | −0.204108 | ||||||||
\(379\) | −26.8200 | −1.37765 | −0.688826 | − | 0.724927i | \(-0.741874\pi\) | ||||
−0.688826 | + | 0.724927i | \(0.741874\pi\) | |||||||
\(380\) | −1.39644 | −0.0716357 | ||||||||
\(381\) | 14.6191 | 0.748957 | ||||||||
\(382\) | −25.6664 | −1.31321 | ||||||||
\(383\) | 27.3799 | 1.39905 | 0.699523 | − | 0.714610i | \(-0.253396\pi\) | ||||
0.699523 | + | 0.714610i | \(0.253396\pi\) | |||||||
\(384\) | −48.8680 | −2.49378 | ||||||||
\(385\) | −0.0124967 | −0.000636893 0 | ||||||||
\(386\) | −14.9907 | −0.763006 | ||||||||
\(387\) | −2.72015 | −0.138273 | ||||||||
\(388\) | −17.7081 | −0.898994 | ||||||||
\(389\) | −17.4782 | −0.886180 | −0.443090 | − | 0.896477i | \(-0.646118\pi\) | ||||
−0.443090 | + | 0.896477i | \(0.646118\pi\) | |||||||
\(390\) | 0.361676 | 0.0183142 | ||||||||
\(391\) | −4.19586 | −0.212194 | ||||||||
\(392\) | 48.8285 | 2.46621 | ||||||||
\(393\) | −0.117046 | −0.00590416 | ||||||||
\(394\) | −36.1128 | −1.81934 | ||||||||
\(395\) | 0.773016 | 0.0388946 | ||||||||
\(396\) | −0.441175 | −0.0221699 | ||||||||
\(397\) | −6.92519 | −0.347565 | −0.173783 | − | 0.984784i | \(-0.555599\pi\) | ||||
−0.173783 | + | 0.984784i | \(0.555599\pi\) | |||||||
\(398\) | −55.0853 | −2.76118 | ||||||||
\(399\) | −3.26378 | −0.163393 | ||||||||
\(400\) | −80.4182 | −4.02091 | ||||||||
\(401\) | 5.37106 | 0.268218 | 0.134109 | − | 0.990967i | \(-0.457183\pi\) | ||||
0.134109 | + | 0.990967i | \(0.457183\pi\) | |||||||
\(402\) | −25.9519 | −1.29436 | ||||||||
\(403\) | −8.22766 | −0.409849 | ||||||||
\(404\) | 82.2765 | 4.09341 | ||||||||
\(405\) | 0.110089 | 0.00547036 | ||||||||
\(406\) | 0.556177 | 0.0276026 | ||||||||
\(407\) | −0.0712431 | −0.00353139 | ||||||||
\(408\) | −7.74635 | −0.383502 | ||||||||
\(409\) | −7.39223 | −0.365522 | −0.182761 | − | 0.983157i | \(-0.558503\pi\) | ||||
−0.182761 | + | 0.983157i | \(0.558503\pi\) | |||||||
\(410\) | 0.583882 | 0.0288359 | ||||||||
\(411\) | 17.2615 | 0.851449 | ||||||||
\(412\) | 40.9805 | 2.01897 | ||||||||
\(413\) | −16.0538 | −0.789958 | ||||||||
\(414\) | 14.7951 | 0.727142 | ||||||||
\(415\) | 1.61972 | 0.0795091 | ||||||||
\(416\) | 29.3405 | 1.43854 | ||||||||
\(417\) | 4.71172 | 0.230734 | ||||||||
\(418\) | −0.492530 | −0.0240904 | ||||||||
\(419\) | 17.6677 | 0.863124 | 0.431562 | − | 0.902083i | \(-0.357963\pi\) | ||||
0.431562 | + | 0.902083i | \(0.357963\pi\) | |||||||
\(420\) | 0.887019 | 0.0432821 | ||||||||
\(421\) | −2.31305 | −0.112731 | −0.0563657 | − | 0.998410i | \(-0.517951\pi\) | ||||
−0.0563657 | + | 0.998410i | \(0.517951\pi\) | |||||||
\(422\) | −51.8521 | −2.52412 | ||||||||
\(423\) | −0.0476025 | −0.00231451 | ||||||||
\(424\) | −37.1407 | −1.80371 | ||||||||
\(425\) | −3.89860 | −0.189110 | ||||||||
\(426\) | 6.41178 | 0.310652 | ||||||||
\(427\) | 9.68001 | 0.468449 | ||||||||
\(428\) | −107.763 | −5.20892 | ||||||||
\(429\) | 0.0939772 | 0.00453726 | ||||||||
\(430\) | 0.825329 | 0.0398009 | ||||||||
\(431\) | −11.1812 | −0.538577 | −0.269289 | − | 0.963060i | \(-0.586789\pi\) | ||||
−0.269289 | + | 0.963060i | \(0.586789\pi\) | |||||||
\(432\) | 16.1227 | 0.775705 | ||||||||
\(433\) | −32.0607 | −1.54074 | −0.770369 | − | 0.637598i | \(-0.779928\pi\) | ||||
−0.770369 | + | 0.637598i | \(0.779928\pi\) | |||||||
\(434\) | −27.3904 | −1.31478 | ||||||||
\(435\) | −0.0154294 | −0.000739784 0 | ||||||||
\(436\) | 11.7314 | 0.561832 | ||||||||
\(437\) | 12.1684 | 0.582093 | ||||||||
\(438\) | −42.5813 | −2.03461 | ||||||||
\(439\) | 27.4159 | 1.30849 | 0.654246 | − | 0.756282i | \(-0.272986\pi\) | ||||
0.654246 | + | 0.756282i | \(0.272986\pi\) | |||||||
\(440\) | 0.0860171 | 0.00410071 | ||||||||
\(441\) | −4.92684 | −0.234612 | ||||||||
\(442\) | 2.56785 | 0.122140 | ||||||||
\(443\) | −20.3313 | −0.965971 | −0.482985 | − | 0.875628i | \(-0.660448\pi\) | ||||
−0.482985 | + | 0.875628i | \(0.660448\pi\) | |||||||
\(444\) | 5.05684 | 0.239987 | ||||||||
\(445\) | −1.76587 | −0.0837101 | ||||||||
\(446\) | −11.9950 | −0.567978 | ||||||||
\(447\) | −14.3317 | −0.677865 | ||||||||
\(448\) | 51.2480 | 2.42124 | ||||||||
\(449\) | 26.5362 | 1.25232 | 0.626160 | − | 0.779694i | \(-0.284626\pi\) | ||||
0.626160 | + | 0.779694i | \(0.284626\pi\) | |||||||
\(450\) | 13.7470 | 0.648038 | ||||||||
\(451\) | 0.151715 | 0.00714397 | ||||||||
\(452\) | 77.7333 | 3.65626 | ||||||||
\(453\) | −18.5093 | −0.869645 | ||||||||
\(454\) | 8.70932 | 0.408749 | ||||||||
\(455\) | −0.188949 | −0.00885807 | ||||||||
\(456\) | 22.4651 | 1.05203 | ||||||||
\(457\) | −15.0585 | −0.704408 | −0.352204 | − | 0.935923i | \(-0.614568\pi\) | ||||
−0.352204 | + | 0.935923i | \(0.614568\pi\) | |||||||
\(458\) | −27.4139 | −1.28097 | ||||||||
\(459\) | 0.781615 | 0.0364827 | ||||||||
\(460\) | −3.30708 | −0.154194 | ||||||||
\(461\) | −7.96082 | −0.370772 | −0.185386 | − | 0.982666i | \(-0.559354\pi\) | ||||
−0.185386 | + | 0.982666i | \(0.559354\pi\) | |||||||
\(462\) | 0.312856 | 0.0145554 | ||||||||
\(463\) | −20.1588 | −0.936861 | −0.468431 | − | 0.883500i | \(-0.655180\pi\) | ||||
−0.468431 | + | 0.883500i | \(0.655180\pi\) | |||||||
\(464\) | −2.25967 | −0.104902 | ||||||||
\(465\) | 0.759862 | 0.0352377 | ||||||||
\(466\) | −59.1620 | −2.74063 | ||||||||
\(467\) | −6.00211 | −0.277745 | −0.138872 | − | 0.990310i | \(-0.544348\pi\) | ||||
−0.138872 | + | 0.990310i | \(0.544348\pi\) | |||||||
\(468\) | −6.67051 | −0.308344 | ||||||||
\(469\) | 13.5579 | 0.626047 | ||||||||
\(470\) | 0.0144432 | 0.000666216 0 | ||||||||
\(471\) | −8.08169 | −0.372384 | ||||||||
\(472\) | 110.501 | 5.08623 | ||||||||
\(473\) | 0.214452 | 0.00986051 | ||||||||
\(474\) | −19.3524 | −0.888887 | ||||||||
\(475\) | 11.3063 | 0.518769 | ||||||||
\(476\) | 6.29771 | 0.288655 | ||||||||
\(477\) | 3.74754 | 0.171588 | ||||||||
\(478\) | −21.0914 | −0.964699 | ||||||||
\(479\) | −12.5656 | −0.574137 | −0.287069 | − | 0.957910i | \(-0.592681\pi\) | ||||
−0.287069 | + | 0.957910i | \(0.592681\pi\) | |||||||
\(480\) | −2.70973 | −0.123682 | ||||||||
\(481\) | −1.07719 | −0.0491155 | ||||||||
\(482\) | −47.2892 | −2.15397 | ||||||||
\(483\) | −7.72937 | −0.351699 | ||||||||
\(484\) | −61.5206 | −2.79639 | ||||||||
\(485\) | −0.348371 | −0.0158187 | ||||||||
\(486\) | −2.75607 | −0.125018 | ||||||||
\(487\) | 2.12392 | 0.0962441 | 0.0481221 | − | 0.998841i | \(-0.484676\pi\) | ||||
0.0481221 | + | 0.998841i | \(0.484676\pi\) | |||||||
\(488\) | −66.6291 | −3.01616 | ||||||||
\(489\) | 23.1826 | 1.04836 | ||||||||
\(490\) | 1.49487 | 0.0675313 | ||||||||
\(491\) | 13.4654 | 0.607683 | 0.303842 | − | 0.952723i | \(-0.401731\pi\) | ||||
0.303842 | + | 0.952723i | \(0.401731\pi\) | |||||||
\(492\) | −10.7687 | −0.485491 | ||||||||
\(493\) | −0.109547 | −0.00493374 | ||||||||
\(494\) | −7.44699 | −0.335056 | ||||||||
\(495\) | −0.00867922 | −0.000390102 0 | ||||||||
\(496\) | 111.283 | 4.99676 | ||||||||
\(497\) | −3.34968 | −0.150254 | ||||||||
\(498\) | −40.5498 | −1.81708 | ||||||||
\(499\) | 25.7652 | 1.15341 | 0.576705 | − | 0.816953i | \(-0.304338\pi\) | ||||
0.576705 | + | 0.816953i | \(0.304338\pi\) | |||||||
\(500\) | −6.15305 | −0.275173 | ||||||||
\(501\) | 6.08845 | 0.272012 | ||||||||
\(502\) | −21.0089 | −0.937673 | ||||||||
\(503\) | −18.4764 | −0.823820 | −0.411910 | − | 0.911224i | \(-0.635138\pi\) | ||||
−0.411910 | + | 0.911224i | \(0.635138\pi\) | |||||||
\(504\) | −14.2699 | −0.635631 | ||||||||
\(505\) | 1.61862 | 0.0720278 | ||||||||
\(506\) | −1.16642 | −0.0518539 | ||||||||
\(507\) | −11.5791 | −0.514245 | ||||||||
\(508\) | 81.8075 | 3.62962 | ||||||||
\(509\) | −27.5480 | −1.22104 | −0.610522 | − | 0.791999i | \(-0.709041\pi\) | ||||
−0.610522 | + | 0.791999i | \(0.709041\pi\) | |||||||
\(510\) | −0.237152 | −0.0105013 | ||||||||
\(511\) | 22.2456 | 0.984088 | ||||||||
\(512\) | −77.2705 | −3.41491 | ||||||||
\(513\) | −2.26675 | −0.100080 | ||||||||
\(514\) | −59.2268 | −2.61238 | ||||||||
\(515\) | 0.806209 | 0.0355258 | ||||||||
\(516\) | −15.2218 | −0.670103 | ||||||||
\(517\) | 0.00375290 | 0.000165052 0 | ||||||||
\(518\) | −3.58602 | −0.157561 | ||||||||
\(519\) | 11.1913 | 0.491242 | ||||||||
\(520\) | 1.30057 | 0.0570337 | ||||||||
\(521\) | −15.0611 | −0.659840 | −0.329920 | − | 0.944009i | \(-0.607022\pi\) | ||||
−0.329920 | + | 0.944009i | \(0.607022\pi\) | |||||||
\(522\) | 0.386276 | 0.0169068 | ||||||||
\(523\) | −29.6345 | −1.29583 | −0.647914 | − | 0.761713i | \(-0.724358\pi\) | ||||
−0.647914 | + | 0.761713i | \(0.724358\pi\) | |||||||
\(524\) | −0.654980 | −0.0286130 | ||||||||
\(525\) | −7.18178 | −0.313439 | ||||||||
\(526\) | 7.54124 | 0.328814 | ||||||||
\(527\) | 5.39491 | 0.235006 | ||||||||
\(528\) | −1.27109 | −0.0553170 | ||||||||
\(529\) | 5.81752 | 0.252936 | ||||||||
\(530\) | −1.13705 | −0.0493904 | ||||||||
\(531\) | −11.1497 | −0.483856 | ||||||||
\(532\) | −18.2639 | −0.791841 | ||||||||
\(533\) | 2.29391 | 0.0993601 | ||||||||
\(534\) | 44.2085 | 1.91309 | ||||||||
\(535\) | −2.12002 | −0.0916563 | ||||||||
\(536\) | −93.3215 | −4.03087 | ||||||||
\(537\) | 2.79118 | 0.120448 | ||||||||
\(538\) | 70.9276 | 3.05791 | ||||||||
\(539\) | 0.388424 | 0.0167306 | ||||||||
\(540\) | 0.616051 | 0.0265106 | ||||||||
\(541\) | 1.52676 | 0.0656406 | 0.0328203 | − | 0.999461i | \(-0.489551\pi\) | ||||
0.0328203 | + | 0.999461i | \(0.489551\pi\) | |||||||
\(542\) | −73.7766 | −3.16898 | ||||||||
\(543\) | 24.8091 | 1.06466 | ||||||||
\(544\) | −19.2387 | −0.824853 | ||||||||
\(545\) | 0.230792 | 0.00988602 | ||||||||
\(546\) | 4.73034 | 0.202440 | ||||||||
\(547\) | −7.58831 | −0.324453 | −0.162226 | − | 0.986754i | \(-0.551867\pi\) | ||||
−0.162226 | + | 0.986754i | \(0.551867\pi\) | |||||||
\(548\) | 96.5946 | 4.12632 | ||||||||
\(549\) | 6.72295 | 0.286928 | ||||||||
\(550\) | −1.08379 | −0.0462129 | ||||||||
\(551\) | 0.317695 | 0.0135343 | ||||||||
\(552\) | 53.2026 | 2.26445 | ||||||||
\(553\) | 10.1102 | 0.429931 | ||||||||
\(554\) | 60.1290 | 2.55464 | ||||||||
\(555\) | 0.0994830 | 0.00422282 | ||||||||
\(556\) | 26.3665 | 1.11819 | ||||||||
\(557\) | 15.6551 | 0.663328 | 0.331664 | − | 0.943398i | \(-0.392390\pi\) | ||||
0.331664 | + | 0.943398i | \(0.392390\pi\) | |||||||
\(558\) | −19.0231 | −0.805313 | ||||||||
\(559\) | 3.24249 | 0.137143 | ||||||||
\(560\) | 2.55563 | 0.107995 | ||||||||
\(561\) | −0.0616212 | −0.00260165 | ||||||||
\(562\) | 14.2176 | 0.599732 | ||||||||
\(563\) | −6.05473 | −0.255177 | −0.127588 | − | 0.991827i | \(-0.540724\pi\) | ||||
−0.127588 | + | 0.991827i | \(0.540724\pi\) | |||||||
\(564\) | −0.266381 | −0.0112167 | ||||||||
\(565\) | 1.52924 | 0.0643358 | ||||||||
\(566\) | 36.5856 | 1.53781 | ||||||||
\(567\) | 1.43985 | 0.0604678 | ||||||||
\(568\) | 23.0564 | 0.967426 | ||||||||
\(569\) | 9.67767 | 0.405709 | 0.202855 | − | 0.979209i | \(-0.434978\pi\) | ||||
0.202855 | + | 0.979209i | \(0.434978\pi\) | |||||||
\(570\) | 0.687763 | 0.0288072 | ||||||||
\(571\) | −22.3562 | −0.935577 | −0.467788 | − | 0.883841i | \(-0.654949\pi\) | ||||
−0.467788 | + | 0.883841i | \(0.654949\pi\) | |||||||
\(572\) | 0.525892 | 0.0219886 | ||||||||
\(573\) | 9.31265 | 0.389042 | ||||||||
\(574\) | 7.63655 | 0.318744 | ||||||||
\(575\) | 26.7759 | 1.11663 | ||||||||
\(576\) | 35.5927 | 1.48303 | ||||||||
\(577\) | −13.5877 | −0.565665 | −0.282832 | − | 0.959169i | \(-0.591274\pi\) | ||||
−0.282832 | + | 0.959169i | \(0.591274\pi\) | |||||||
\(578\) | 45.1695 | 1.87880 | ||||||||
\(579\) | 5.43914 | 0.226043 | ||||||||
\(580\) | −0.0863422 | −0.00358517 | ||||||||
\(581\) | 21.1843 | 0.878871 | ||||||||
\(582\) | 8.72147 | 0.361517 | ||||||||
\(583\) | −0.295450 | −0.0122363 | ||||||||
\(584\) | −153.120 | −6.33616 | ||||||||
\(585\) | −0.131229 | −0.00542564 | ||||||||
\(586\) | −69.7088 | −2.87964 | ||||||||
\(587\) | −5.20905 | −0.215000 | −0.107500 | − | 0.994205i | \(-0.534285\pi\) | ||||
−0.107500 | + | 0.994205i | \(0.534285\pi\) | |||||||
\(588\) | −27.5704 | −1.13698 | ||||||||
\(589\) | −15.6457 | −0.644671 | ||||||||
\(590\) | 3.38297 | 0.139274 | ||||||||
\(591\) | 13.1030 | 0.538985 | ||||||||
\(592\) | 14.5695 | 0.598802 | ||||||||
\(593\) | −9.26031 | −0.380275 | −0.190138 | − | 0.981757i | \(-0.560893\pi\) | ||||
−0.190138 | + | 0.981757i | \(0.560893\pi\) | |||||||
\(594\) | 0.217284 | 0.00891528 | ||||||||
\(595\) | 0.123895 | 0.00507918 | ||||||||
\(596\) | −80.1993 | −3.28509 | ||||||||
\(597\) | 19.9869 | 0.818008 | ||||||||
\(598\) | −17.6362 | −0.721197 | ||||||||
\(599\) | 1.24840 | 0.0510084 | 0.0255042 | − | 0.999675i | \(-0.491881\pi\) | ||||
0.0255042 | + | 0.999675i | \(0.491881\pi\) | |||||||
\(600\) | 49.4334 | 2.01811 | ||||||||
\(601\) | 4.53374 | 0.184935 | 0.0924675 | − | 0.995716i | \(-0.470525\pi\) | ||||
0.0924675 | + | 0.995716i | \(0.470525\pi\) | |||||||
\(602\) | 10.7944 | 0.439948 | ||||||||
\(603\) | 9.41624 | 0.383459 | ||||||||
\(604\) | −103.577 | −4.21450 | ||||||||
\(605\) | −1.21029 | −0.0492054 | ||||||||
\(606\) | −40.5222 | −1.64610 | ||||||||
\(607\) | 16.1967 | 0.657403 | 0.328701 | − | 0.944434i | \(-0.393389\pi\) | ||||
0.328701 | + | 0.944434i | \(0.393389\pi\) | |||||||
\(608\) | 55.7940 | 2.26274 | ||||||||
\(609\) | −0.201801 | −0.00817737 | ||||||||
\(610\) | −2.03983 | −0.0825903 | ||||||||
\(611\) | 0.0567434 | 0.00229559 | ||||||||
\(612\) | 4.37388 | 0.176804 | ||||||||
\(613\) | 2.44721 | 0.0988417 | 0.0494209 | − | 0.998778i | \(-0.484262\pi\) | ||||
0.0494209 | + | 0.998778i | \(0.484262\pi\) | |||||||
\(614\) | −24.4536 | −0.986869 | ||||||||
\(615\) | −0.211853 | −0.00854272 | ||||||||
\(616\) | 1.12501 | 0.0453281 | ||||||||
\(617\) | −13.6207 | −0.548350 | −0.274175 | − | 0.961680i | \(-0.588405\pi\) | ||||
−0.274175 | + | 0.961680i | \(0.588405\pi\) | |||||||
\(618\) | −20.1834 | −0.811897 | ||||||||
\(619\) | −11.0613 | −0.444590 | −0.222295 | − | 0.974979i | \(-0.571355\pi\) | ||||
−0.222295 | + | 0.974979i | \(0.571355\pi\) | |||||||
\(620\) | 4.25214 | 0.170770 | ||||||||
\(621\) | −5.36820 | −0.215418 | ||||||||
\(622\) | 34.8997 | 1.39935 | ||||||||
\(623\) | −23.0957 | −0.925308 | ||||||||
\(624\) | −19.2187 | −0.769363 | ||||||||
\(625\) | 24.8184 | 0.992734 | ||||||||
\(626\) | −10.0565 | −0.401937 | ||||||||
\(627\) | 0.178707 | 0.00713687 | ||||||||
\(628\) | −45.2247 | −1.80466 | ||||||||
\(629\) | 0.706315 | 0.0281626 | ||||||||
\(630\) | −0.436868 | −0.0174052 | ||||||||
\(631\) | 24.5623 | 0.977811 | 0.488906 | − | 0.872337i | \(-0.337396\pi\) | ||||
0.488906 | + | 0.872337i | \(0.337396\pi\) | |||||||
\(632\) | −69.5904 | −2.76816 | ||||||||
\(633\) | 18.8138 | 0.747780 | ||||||||
\(634\) | −50.9184 | −2.02223 | ||||||||
\(635\) | 1.60940 | 0.0638669 | ||||||||
\(636\) | 20.9710 | 0.831556 | ||||||||
\(637\) | 5.87292 | 0.232694 | ||||||||
\(638\) | −0.0304533 | −0.00120566 | ||||||||
\(639\) | −2.32642 | −0.0920316 | ||||||||
\(640\) | −5.37982 | −0.212656 | ||||||||
\(641\) | −38.5614 | −1.52309 | −0.761543 | − | 0.648115i | \(-0.775558\pi\) | ||||
−0.761543 | + | 0.648115i | \(0.775558\pi\) | |||||||
\(642\) | 53.0746 | 2.09469 | ||||||||
\(643\) | 33.4818 | 1.32039 | 0.660196 | − | 0.751094i | \(-0.270473\pi\) | ||||
0.660196 | + | 0.751094i | \(0.270473\pi\) | |||||||
\(644\) | −43.2532 | −1.70441 | ||||||||
\(645\) | −0.299458 | −0.0117912 | ||||||||
\(646\) | 4.88302 | 0.192120 | ||||||||
\(647\) | −26.2525 | −1.03209 | −0.516046 | − | 0.856561i | \(-0.672597\pi\) | ||||
−0.516046 | + | 0.856561i | \(0.672597\pi\) | |||||||
\(648\) | −9.91070 | −0.389329 | ||||||||
\(649\) | 0.879023 | 0.0345047 | ||||||||
\(650\) | −16.3867 | −0.642741 | ||||||||
\(651\) | 9.93818 | 0.389508 | ||||||||
\(652\) | 129.729 | 5.08057 | ||||||||
\(653\) | 14.1512 | 0.553781 | 0.276890 | − | 0.960902i | \(-0.410696\pi\) | ||||
0.276890 | + | 0.960902i | \(0.410696\pi\) | |||||||
\(654\) | −5.77786 | −0.225932 | ||||||||
\(655\) | −0.0128854 | −0.000503475 0 | ||||||||
\(656\) | −31.0262 | −1.21137 | ||||||||
\(657\) | 15.4500 | 0.602762 | ||||||||
\(658\) | 0.188902 | 0.00736417 | ||||||||
\(659\) | 29.4226 | 1.14614 | 0.573072 | − | 0.819505i | \(-0.305752\pi\) | ||||
0.573072 | + | 0.819505i | \(0.305752\pi\) | |||||||
\(660\) | −0.0485685 | −0.00189052 | ||||||||
\(661\) | −30.0095 | −1.16724 | −0.583618 | − | 0.812029i | \(-0.698363\pi\) | ||||
−0.583618 | + | 0.812029i | \(0.698363\pi\) | |||||||
\(662\) | 88.6619 | 3.44594 | ||||||||
\(663\) | −0.931705 | −0.0361844 | ||||||||
\(664\) | −145.815 | −5.65871 | ||||||||
\(665\) | −0.359306 | −0.0139333 | ||||||||
\(666\) | −2.49056 | −0.0965071 | ||||||||
\(667\) | 0.752375 | 0.0291321 | ||||||||
\(668\) | 34.0706 | 1.31823 | ||||||||
\(669\) | 4.35219 | 0.168266 | ||||||||
\(670\) | −2.85701 | −0.110376 | ||||||||
\(671\) | −0.530026 | −0.0204614 | ||||||||
\(672\) | −35.4404 | −1.36714 | ||||||||
\(673\) | 38.7015 | 1.49183 | 0.745916 | − | 0.666040i | \(-0.232012\pi\) | ||||
0.745916 | + | 0.666040i | \(0.232012\pi\) | |||||||
\(674\) | 53.3886 | 2.05645 | ||||||||
\(675\) | −4.98788 | −0.191984 | ||||||||
\(676\) | −64.7959 | −2.49215 | ||||||||
\(677\) | 17.5453 | 0.674320 | 0.337160 | − | 0.941447i | \(-0.390534\pi\) | ||||
0.337160 | + | 0.941447i | \(0.390534\pi\) | |||||||
\(678\) | −38.2846 | −1.47031 | ||||||||
\(679\) | −4.55633 | −0.174856 | ||||||||
\(680\) | −0.852787 | −0.0327029 | ||||||||
\(681\) | −3.16005 | −0.121093 | ||||||||
\(682\) | 1.49975 | 0.0574284 | ||||||||
\(683\) | −51.3379 | −1.96439 | −0.982195 | − | 0.187864i | \(-0.939844\pi\) | ||||
−0.982195 | + | 0.187864i | \(0.939844\pi\) | |||||||
\(684\) | −12.6846 | −0.485009 | ||||||||
\(685\) | 1.90030 | 0.0726068 | ||||||||
\(686\) | 47.3296 | 1.80705 | ||||||||
\(687\) | 9.94671 | 0.379491 | ||||||||
\(688\) | −43.8562 | −1.67200 | ||||||||
\(689\) | −4.46716 | −0.170185 | ||||||||
\(690\) | 1.62878 | 0.0620066 | ||||||||
\(691\) | 38.6423 | 1.47002 | 0.735010 | − | 0.678056i | \(-0.237177\pi\) | ||||
0.735010 | + | 0.678056i | \(0.237177\pi\) | |||||||
\(692\) | 62.6257 | 2.38067 | ||||||||
\(693\) | −0.113515 | −0.00431208 | ||||||||
\(694\) | −9.46868 | −0.359426 | ||||||||
\(695\) | 0.518708 | 0.0196757 | ||||||||
\(696\) | 1.38903 | 0.0526509 | ||||||||
\(697\) | −1.50412 | −0.0569727 | ||||||||
\(698\) | −47.1039 | −1.78291 | ||||||||
\(699\) | 21.4661 | 0.811921 | ||||||||
\(700\) | −40.1888 | −1.51900 | ||||||||
\(701\) | 14.1508 | 0.534467 | 0.267233 | − | 0.963632i | \(-0.413891\pi\) | ||||
0.267233 | + | 0.963632i | \(0.413891\pi\) | |||||||
\(702\) | 3.28531 | 0.123996 | ||||||||
\(703\) | −2.04838 | −0.0772560 | ||||||||
\(704\) | −2.80607 | −0.105758 | ||||||||
\(705\) | −0.00524050 | −0.000197369 0 | ||||||||
\(706\) | −78.0885 | −2.93890 | ||||||||
\(707\) | 21.1699 | 0.796175 | ||||||||
\(708\) | −62.3931 | −2.34488 | ||||||||
\(709\) | −17.2232 | −0.646831 | −0.323415 | − | 0.946257i | \(-0.604831\pi\) | ||||
−0.323415 | + | 0.946257i | \(0.604831\pi\) | |||||||
\(710\) | 0.705866 | 0.0264907 | ||||||||
\(711\) | 7.02174 | 0.263336 | ||||||||
\(712\) | 158.971 | 5.95770 | ||||||||
\(713\) | −37.0527 | −1.38763 | ||||||||
\(714\) | −3.10170 | −0.116078 | ||||||||
\(715\) | 0.0103458 | 0.000386913 0 | ||||||||
\(716\) | 15.6193 | 0.583720 | ||||||||
\(717\) | 7.65270 | 0.285795 | ||||||||
\(718\) | −26.1857 | −0.977240 | ||||||||
\(719\) | 35.8461 | 1.33683 | 0.668417 | − | 0.743787i | \(-0.266972\pi\) | ||||
0.668417 | + | 0.743787i | \(0.266972\pi\) | |||||||
\(720\) | 1.77493 | 0.0661478 | ||||||||
\(721\) | 10.5444 | 0.392692 | ||||||||
\(722\) | 38.2042 | 1.42181 | ||||||||
\(723\) | 17.1582 | 0.638120 | ||||||||
\(724\) | 138.830 | 5.15959 | ||||||||
\(725\) | 0.699073 | 0.0259629 | ||||||||
\(726\) | 30.2997 | 1.12453 | ||||||||
\(727\) | 4.64883 | 0.172415 | 0.0862077 | − | 0.996277i | \(-0.472525\pi\) | ||||
0.0862077 | + | 0.996277i | \(0.472525\pi\) | |||||||
\(728\) | 17.0100 | 0.630434 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −4.68773 | −0.173501 | ||||||||
\(731\) | −2.12611 | −0.0786370 | ||||||||
\(732\) | 37.6213 | 1.39052 | ||||||||
\(733\) | −12.5447 | −0.463349 | −0.231674 | − | 0.972793i | \(-0.574420\pi\) | ||||
−0.231674 | + | 0.972793i | \(0.574420\pi\) | |||||||
\(734\) | 62.6935 | 2.31406 | ||||||||
\(735\) | −0.542391 | −0.0200064 | ||||||||
\(736\) | 132.133 | 4.87049 | ||||||||
\(737\) | −0.742360 | −0.0273452 | ||||||||
\(738\) | 5.30373 | 0.195233 | ||||||||
\(739\) | −20.2421 | −0.744620 | −0.372310 | − | 0.928109i | \(-0.621434\pi\) | ||||
−0.372310 | + | 0.928109i | \(0.621434\pi\) | |||||||
\(740\) | 0.556702 | 0.0204648 | ||||||||
\(741\) | 2.70203 | 0.0992615 | ||||||||
\(742\) | −14.8715 | −0.545948 | ||||||||
\(743\) | 39.8075 | 1.46040 | 0.730198 | − | 0.683235i | \(-0.239428\pi\) | ||||
0.730198 | + | 0.683235i | \(0.239428\pi\) | |||||||
\(744\) | −68.4062 | −2.50789 | ||||||||
\(745\) | −1.57776 | −0.0578046 | ||||||||
\(746\) | −57.5458 | −2.10690 | ||||||||
\(747\) | 14.7129 | 0.538316 | ||||||||
\(748\) | −0.344829 | −0.0126082 | ||||||||
\(749\) | −27.7276 | −1.01314 | ||||||||
\(750\) | 3.03045 | 0.110657 | ||||||||
\(751\) | 14.8689 | 0.542573 | 0.271287 | − | 0.962499i | \(-0.412551\pi\) | ||||
0.271287 | + | 0.962499i | \(0.412551\pi\) | |||||||
\(752\) | −0.767482 | −0.0279872 | ||||||||
\(753\) | 7.62276 | 0.277789 | ||||||||
\(754\) | −0.460450 | −0.0167686 | ||||||||
\(755\) | −2.03767 | −0.0741585 | ||||||||
\(756\) | 8.05730 | 0.293041 | ||||||||
\(757\) | −22.8113 | −0.829092 | −0.414546 | − | 0.910028i | \(-0.636060\pi\) | ||||
−0.414546 | + | 0.910028i | \(0.636060\pi\) | |||||||
\(758\) | 73.9180 | 2.68482 | ||||||||
\(759\) | 0.423219 | 0.0153619 | ||||||||
\(760\) | 2.47316 | 0.0897109 | ||||||||
\(761\) | 42.1584 | 1.52824 | 0.764121 | − | 0.645073i | \(-0.223173\pi\) | ||||
0.764121 | + | 0.645073i | \(0.223173\pi\) | |||||||
\(762\) | −40.2912 | −1.45960 | ||||||||
\(763\) | 3.01851 | 0.109277 | ||||||||
\(764\) | 52.1131 | 1.88539 | ||||||||
\(765\) | 0.0860472 | 0.00311104 | ||||||||
\(766\) | −75.4610 | −2.72652 | ||||||||
\(767\) | 13.2907 | 0.479900 | ||||||||
\(768\) | 63.4984 | 2.29130 | ||||||||
\(769\) | 7.39667 | 0.266731 | 0.133365 | − | 0.991067i | \(-0.457422\pi\) | ||||
0.133365 | + | 0.991067i | \(0.457422\pi\) | |||||||
\(770\) | 0.0344419 | 0.00124120 | ||||||||
\(771\) | 21.4895 | 0.773927 | ||||||||
\(772\) | 30.4372 | 1.09546 | ||||||||
\(773\) | 5.29348 | 0.190393 | 0.0951965 | − | 0.995458i | \(-0.469652\pi\) | ||||
0.0951965 | + | 0.995458i | \(0.469652\pi\) | |||||||
\(774\) | 7.49693 | 0.269472 | ||||||||
\(775\) | −34.4276 | −1.23668 | ||||||||
\(776\) | 31.3620 | 1.12583 | ||||||||
\(777\) | 1.30113 | 0.0466779 | ||||||||
\(778\) | 48.1712 | 1.72702 | ||||||||
\(779\) | 4.36209 | 0.156288 | ||||||||
\(780\) | −0.734349 | −0.0262939 | ||||||||
\(781\) | 0.183411 | 0.00656295 | ||||||||
\(782\) | 11.5641 | 0.413532 | ||||||||
\(783\) | −0.140154 | −0.00500870 | ||||||||
\(784\) | −79.4342 | −2.83693 | ||||||||
\(785\) | −0.889704 | −0.0317549 | ||||||||
\(786\) | 0.322586 | 0.0115063 | ||||||||
\(787\) | 14.0069 | 0.499294 | 0.249647 | − | 0.968337i | \(-0.419685\pi\) | ||||
0.249647 | + | 0.968337i | \(0.419685\pi\) | |||||||
\(788\) | 73.3237 | 2.61205 | ||||||||
\(789\) | −2.73623 | −0.0974122 | ||||||||
\(790\) | −2.13049 | −0.0757994 | ||||||||
\(791\) | 20.0009 | 0.711150 | ||||||||
\(792\) | 0.781342 | 0.0277638 | ||||||||
\(793\) | −8.01392 | −0.284583 | ||||||||
\(794\) | 19.0863 | 0.677349 | ||||||||
\(795\) | 0.412563 | 0.0146321 | ||||||||
\(796\) | 111.845 | 3.96425 | ||||||||
\(797\) | 3.45035 | 0.122218 | 0.0611088 | − | 0.998131i | \(-0.480536\pi\) | ||||
0.0611088 | + | 0.998131i | \(0.480536\pi\) | |||||||
\(798\) | 8.99521 | 0.318427 | ||||||||
\(799\) | −0.0372068 | −0.00131628 | ||||||||
\(800\) | 122.772 | 4.34064 | ||||||||
\(801\) | −16.0404 | −0.566759 | ||||||||
\(802\) | −14.8030 | −0.522713 | ||||||||
\(803\) | −1.21805 | −0.0429841 | ||||||||
\(804\) | 52.6928 | 1.85833 | ||||||||
\(805\) | −0.850918 | −0.0299909 | ||||||||
\(806\) | 22.6760 | 0.798730 | ||||||||
\(807\) | −25.7350 | −0.905916 | ||||||||
\(808\) | −145.716 | −5.12626 | ||||||||
\(809\) | −15.0161 | −0.527937 | −0.263969 | − | 0.964531i | \(-0.585032\pi\) | ||||
−0.263969 | + | 0.964531i | \(0.585032\pi\) | |||||||
\(810\) | −0.303413 | −0.0106609 | ||||||||
\(811\) | −52.1260 | −1.83039 | −0.915195 | − | 0.403010i | \(-0.867964\pi\) | ||||
−0.915195 | + | 0.403010i | \(0.867964\pi\) | |||||||
\(812\) | −1.12926 | −0.0396294 | ||||||||
\(813\) | 26.7687 | 0.938820 | ||||||||
\(814\) | 0.196351 | 0.00688211 | ||||||||
\(815\) | 2.55215 | 0.0893979 | ||||||||
\(816\) | 12.6018 | 0.441150 | ||||||||
\(817\) | 6.16591 | 0.215718 | ||||||||
\(818\) | 20.3735 | 0.712344 | ||||||||
\(819\) | −1.71633 | −0.0599735 | ||||||||
\(820\) | −1.18552 | −0.0414000 | ||||||||
\(821\) | 24.8891 | 0.868636 | 0.434318 | − | 0.900760i | \(-0.356989\pi\) | ||||
0.434318 | + | 0.900760i | \(0.356989\pi\) | |||||||
\(822\) | −47.5741 | −1.65934 | ||||||||
\(823\) | 4.90950 | 0.171134 | 0.0855671 | − | 0.996332i | \(-0.472730\pi\) | ||||
0.0855671 | + | 0.996332i | \(0.472730\pi\) | |||||||
\(824\) | −72.5786 | −2.52839 | ||||||||
\(825\) | 0.393236 | 0.0136907 | ||||||||
\(826\) | 44.2456 | 1.53950 | ||||||||
\(827\) | −5.56030 | −0.193351 | −0.0966753 | − | 0.995316i | \(-0.530821\pi\) | ||||
−0.0966753 | + | 0.995316i | \(0.530821\pi\) | |||||||
\(828\) | −30.0401 | −1.04397 | ||||||||
\(829\) | 2.76310 | 0.0959665 | 0.0479833 | − | 0.998848i | \(-0.484721\pi\) | ||||
0.0479833 | + | 0.998848i | \(0.484721\pi\) | |||||||
\(830\) | −4.46408 | −0.154950 | ||||||||
\(831\) | −21.8169 | −0.756820 | ||||||||
\(832\) | −42.4274 | −1.47090 | ||||||||
\(833\) | −3.85090 | −0.133426 | ||||||||
\(834\) | −12.9858 | −0.449663 | ||||||||
\(835\) | 0.670271 | 0.0231957 | ||||||||
\(836\) | 1.00004 | 0.0345869 | ||||||||
\(837\) | 6.90226 | 0.238577 | ||||||||
\(838\) | −48.6935 | −1.68209 | ||||||||
\(839\) | 30.5576 | 1.05497 | 0.527483 | − | 0.849565i | \(-0.323136\pi\) | ||||
0.527483 | + | 0.849565i | \(0.323136\pi\) | |||||||
\(840\) | −1.57095 | −0.0542031 | ||||||||
\(841\) | −28.9804 | −0.999323 | ||||||||
\(842\) | 6.37495 | 0.219695 | ||||||||
\(843\) | −5.15863 | −0.177673 | ||||||||
\(844\) | 105.281 | 3.62391 | ||||||||
\(845\) | −1.27473 | −0.0438520 | ||||||||
\(846\) | 0.131196 | 0.00451061 | ||||||||
\(847\) | −15.8294 | −0.543903 | ||||||||
\(848\) | 60.4206 | 2.07485 | ||||||||
\(849\) | −13.2745 | −0.455581 | ||||||||
\(850\) | 10.7448 | 0.368545 | ||||||||
\(851\) | −4.85103 | −0.166291 | ||||||||
\(852\) | −13.0185 | −0.446007 | ||||||||
\(853\) | −15.7416 | −0.538981 | −0.269490 | − | 0.963003i | \(-0.586855\pi\) | ||||
−0.269490 | + | 0.963003i | \(0.586855\pi\) | |||||||
\(854\) | −26.6788 | −0.912931 | ||||||||
\(855\) | −0.249544 | −0.00853424 | ||||||||
\(856\) | 190.853 | 6.52323 | ||||||||
\(857\) | 15.8132 | 0.540168 | 0.270084 | − | 0.962837i | \(-0.412949\pi\) | ||||
0.270084 | + | 0.962837i | \(0.412949\pi\) | |||||||
\(858\) | −0.259008 | −0.00884240 | ||||||||
\(859\) | 19.7235 | 0.672956 | 0.336478 | − | 0.941691i | \(-0.390764\pi\) | ||||
0.336478 | + | 0.941691i | \(0.390764\pi\) | |||||||
\(860\) | −1.67575 | −0.0571427 | ||||||||
\(861\) | −2.77081 | −0.0944289 | ||||||||
\(862\) | 30.8161 | 1.04960 | ||||||||
\(863\) | 21.0077 | 0.715110 | 0.357555 | − | 0.933892i | \(-0.383610\pi\) | ||||
0.357555 | + | 0.933892i | \(0.383610\pi\) | |||||||
\(864\) | −24.6140 | −0.837387 | ||||||||
\(865\) | 1.23203 | 0.0418904 | ||||||||
\(866\) | 88.3617 | 3.00265 | ||||||||
\(867\) | −16.3891 | −0.556602 | ||||||||
\(868\) | 55.6135 | 1.88765 | ||||||||
\(869\) | −0.553582 | −0.0187790 | ||||||||
\(870\) | 0.0425246 | 0.00144172 | ||||||||
\(871\) | −11.2244 | −0.380324 | ||||||||
\(872\) | −20.7769 | −0.703594 | ||||||||
\(873\) | −3.16445 | −0.107101 | ||||||||
\(874\) | −33.5370 | −1.13440 | ||||||||
\(875\) | −1.58319 | −0.0535216 | ||||||||
\(876\) | 86.4573 | 2.92112 | ||||||||
\(877\) | 55.6593 | 1.87948 | 0.939741 | − | 0.341887i | \(-0.111066\pi\) | ||||
0.939741 | + | 0.341887i | \(0.111066\pi\) | |||||||
\(878\) | −75.5604 | −2.55004 | ||||||||
\(879\) | 25.2928 | 0.853104 | ||||||||
\(880\) | −0.139933 | −0.00471713 | ||||||||
\(881\) | 42.5623 | 1.43396 | 0.716980 | − | 0.697094i | \(-0.245524\pi\) | ||||
0.716980 | + | 0.697094i | \(0.245524\pi\) | |||||||
\(882\) | 13.5787 | 0.457220 | ||||||||
\(883\) | 2.58016 | 0.0868294 | 0.0434147 | − | 0.999057i | \(-0.486176\pi\) | ||||
0.0434147 | + | 0.999057i | \(0.486176\pi\) | |||||||
\(884\) | −5.21377 | −0.175358 | ||||||||
\(885\) | −1.22746 | −0.0412605 | ||||||||
\(886\) | 56.0347 | 1.88252 | ||||||||
\(887\) | −55.0465 | −1.84828 | −0.924140 | − | 0.382054i | \(-0.875217\pi\) | ||||
−0.924140 | + | 0.382054i | \(0.875217\pi\) | |||||||
\(888\) | −8.95591 | −0.300541 | ||||||||
\(889\) | 21.0492 | 0.705967 | ||||||||
\(890\) | 4.86686 | 0.163138 | ||||||||
\(891\) | −0.0788383 | −0.00264118 | ||||||||
\(892\) | 24.3546 | 0.815454 | ||||||||
\(893\) | 0.107903 | 0.00361084 | ||||||||
\(894\) | 39.4992 | 1.32105 | ||||||||
\(895\) | 0.307278 | 0.0102712 | ||||||||
\(896\) | −70.3624 | −2.35064 | ||||||||
\(897\) | 6.39902 | 0.213657 | ||||||||
\(898\) | −73.1357 | −2.44057 | ||||||||
\(899\) | −0.967381 | −0.0322639 | ||||||||
\(900\) | −27.9119 | −0.930397 | ||||||||
\(901\) | 2.92914 | 0.0975837 | ||||||||
\(902\) | −0.418137 | −0.0139224 | ||||||||
\(903\) | −3.91660 | −0.130336 | ||||||||
\(904\) | −137.669 | −4.57882 | ||||||||
\(905\) | 2.73121 | 0.0907884 | ||||||||
\(906\) | 51.0131 | 1.69480 | ||||||||
\(907\) | 37.2310 | 1.23624 | 0.618118 | − | 0.786085i | \(-0.287895\pi\) | ||||
0.618118 | + | 0.786085i | \(0.287895\pi\) | |||||||
\(908\) | −17.6834 | −0.586846 | ||||||||
\(909\) | 14.7029 | 0.487663 | ||||||||
\(910\) | 0.520758 | 0.0172630 | ||||||||
\(911\) | −30.5379 | −1.01177 | −0.505883 | − | 0.862602i | \(-0.668833\pi\) | ||||
−0.505883 | + | 0.862602i | \(0.668833\pi\) | |||||||
\(912\) | −36.5463 | −1.21017 | ||||||||
\(913\) | −1.15994 | −0.0383883 | ||||||||
\(914\) | 41.5024 | 1.37278 | ||||||||
\(915\) | 0.740122 | 0.0244677 | ||||||||
\(916\) | 55.6612 | 1.83910 | ||||||||
\(917\) | −0.168527 | −0.00556527 | ||||||||
\(918\) | −2.15419 | −0.0710989 | ||||||||
\(919\) | −13.7697 | −0.454221 | −0.227111 | − | 0.973869i | \(-0.572928\pi\) | ||||
−0.227111 | + | 0.973869i | \(0.572928\pi\) | |||||||
\(920\) | 5.85701 | 0.193100 | ||||||||
\(921\) | 8.87263 | 0.292363 | ||||||||
\(922\) | 21.9406 | 0.722576 | ||||||||
\(923\) | 2.77315 | 0.0912793 | ||||||||
\(924\) | −0.635224 | −0.0208973 | ||||||||
\(925\) | −4.50735 | −0.148201 | ||||||||
\(926\) | 55.5593 | 1.82579 | ||||||||
\(927\) | 7.32325 | 0.240527 | ||||||||
\(928\) | 3.44976 | 0.113244 | ||||||||
\(929\) | 11.7525 | 0.385587 | 0.192794 | − | 0.981239i | \(-0.438245\pi\) | ||||
0.192794 | + | 0.981239i | \(0.438245\pi\) | |||||||
\(930\) | −2.09424 | −0.0686727 | ||||||||
\(931\) | 11.1679 | 0.366015 | ||||||||
\(932\) | 120.123 | 3.93476 | ||||||||
\(933\) | −12.6628 | −0.414563 | ||||||||
\(934\) | 16.5423 | 0.541279 | ||||||||
\(935\) | −0.00678381 | −0.000221854 0 | ||||||||
\(936\) | 11.8138 | 0.386146 | ||||||||
\(937\) | 33.5421 | 1.09577 | 0.547887 | − | 0.836552i | \(-0.315432\pi\) | ||||
0.547887 | + | 0.836552i | \(0.315432\pi\) | |||||||
\(938\) | −37.3667 | −1.22006 | ||||||||
\(939\) | 3.64883 | 0.119075 | ||||||||
\(940\) | −0.0293256 | −0.000956495 0 | ||||||||
\(941\) | 9.94975 | 0.324353 | 0.162176 | − | 0.986762i | \(-0.448149\pi\) | ||||
0.162176 | + | 0.986762i | \(0.448149\pi\) | |||||||
\(942\) | 22.2737 | 0.725717 | ||||||||
\(943\) | 10.3304 | 0.336405 | ||||||||
\(944\) | −179.764 | −5.85080 | ||||||||
\(945\) | 0.158511 | 0.00515636 | ||||||||
\(946\) | −0.591046 | −0.0192165 | ||||||||
\(947\) | 24.5295 | 0.797102 | 0.398551 | − | 0.917146i | \(-0.369513\pi\) | ||||
0.398551 | + | 0.917146i | \(0.369513\pi\) | |||||||
\(948\) | 39.2933 | 1.27619 | ||||||||
\(949\) | −18.4168 | −0.597834 | ||||||||
\(950\) | −31.1610 | −1.01100 | ||||||||
\(951\) | 18.4750 | 0.599092 | ||||||||
\(952\) | −11.1536 | −0.361489 | ||||||||
\(953\) | 41.0257 | 1.32895 | 0.664477 | − | 0.747309i | \(-0.268654\pi\) | ||||
0.664477 | + | 0.747309i | \(0.268654\pi\) | |||||||
\(954\) | −10.3285 | −0.334398 | ||||||||
\(955\) | 1.02522 | 0.0331753 | ||||||||
\(956\) | 42.8241 | 1.38503 | ||||||||
\(957\) | 0.0110495 | 0.000357180 0 | ||||||||
\(958\) | 34.6318 | 1.11890 | ||||||||
\(959\) | 24.8539 | 0.802576 | ||||||||
\(960\) | 3.91836 | 0.126464 | ||||||||
\(961\) | 16.6411 | 0.536811 | ||||||||
\(962\) | 2.96881 | 0.0957181 | ||||||||
\(963\) | −19.2573 | −0.620558 | ||||||||
\(964\) | 96.0163 | 3.09248 | ||||||||
\(965\) | 0.598789 | 0.0192757 | ||||||||
\(966\) | 21.3027 | 0.685404 | ||||||||
\(967\) | 47.5391 | 1.52875 | 0.764377 | − | 0.644769i | \(-0.223047\pi\) | ||||
0.764377 | + | 0.644769i | \(0.223047\pi\) | |||||||
\(968\) | 108.956 | 3.50198 | ||||||||
\(969\) | −1.77173 | −0.0569162 | ||||||||
\(970\) | 0.960137 | 0.0308281 | ||||||||
\(971\) | −7.41369 | −0.237917 | −0.118958 | − | 0.992899i | \(-0.537956\pi\) | ||||
−0.118958 | + | 0.992899i | \(0.537956\pi\) | |||||||
\(972\) | 5.59595 | 0.179490 | ||||||||
\(973\) | 6.78414 | 0.217490 | ||||||||
\(974\) | −5.85369 | −0.187564 | ||||||||
\(975\) | 5.94568 | 0.190414 | ||||||||
\(976\) | 108.392 | 3.46955 | ||||||||
\(977\) | −25.1269 | −0.803882 | −0.401941 | − | 0.915666i | \(-0.631664\pi\) | ||||
−0.401941 | + | 0.915666i | \(0.631664\pi\) | |||||||
\(978\) | −63.8931 | −2.04308 | ||||||||
\(979\) | 1.26460 | 0.0404167 | ||||||||
\(980\) | −3.03519 | −0.0969556 | ||||||||
\(981\) | 2.09641 | 0.0669333 | ||||||||
\(982\) | −37.1115 | −1.18428 | ||||||||
\(983\) | 35.6650 | 1.13754 | 0.568769 | − | 0.822497i | \(-0.307420\pi\) | ||||
0.568769 | + | 0.822497i | \(0.307420\pi\) | |||||||
\(984\) | 19.0719 | 0.607991 | ||||||||
\(985\) | 1.44249 | 0.0459617 | ||||||||
\(986\) | 0.301919 | 0.00961506 | ||||||||
\(987\) | −0.0685402 | −0.00218166 | ||||||||
\(988\) | 15.1204 | 0.481044 | ||||||||
\(989\) | 14.6023 | 0.464326 | ||||||||
\(990\) | 0.0239206 | 0.000760246 0 | ||||||||
\(991\) | −44.8419 | −1.42445 | −0.712224 | − | 0.701952i | \(-0.752312\pi\) | ||||
−0.712224 | + | 0.701952i | \(0.752312\pi\) | |||||||
\(992\) | −169.892 | −5.39409 | ||||||||
\(993\) | −32.1696 | −1.02087 | ||||||||
\(994\) | 9.23197 | 0.292820 | ||||||||
\(995\) | 2.20033 | 0.0697552 | ||||||||
\(996\) | 82.3324 | 2.60880 | ||||||||
\(997\) | −17.6539 | −0.559105 | −0.279552 | − | 0.960130i | \(-0.590186\pi\) | ||||
−0.279552 | + | 0.960130i | \(0.590186\pi\) | |||||||
\(998\) | −71.0109 | −2.24781 | ||||||||
\(999\) | 0.903661 | 0.0285906 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))