Newspace parameters
Level: | \( N \) | = | \( 6010 = 2 \cdot 5 \cdot 601 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 6010.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(47.9900916148\) |
Analytic rank: | \(1\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-1.45194\) | ||
Character | \(\chi\) | = | 6010.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −2.45194 | −1.41563 | −0.707813 | − | 0.706400i | \(-0.750318\pi\) | ||||
−0.707813 | + | 0.706400i | \(0.750318\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −2.45194 | −1.00100 | ||||||||
\(7\) | 1.53125 | 0.578759 | 0.289380 | − | 0.957214i | \(-0.406551\pi\) | ||||
0.289380 | + | 0.957214i | \(0.406551\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 3.01199 | 1.00400 | ||||||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | −0.396039 | −0.119410 | −0.0597052 | − | 0.998216i | \(-0.519016\pi\) | ||||
−0.0597052 | + | 0.998216i | \(0.519016\pi\) | |||||||
\(12\) | −2.45194 | −0.707813 | ||||||||
\(13\) | −1.09276 | −0.303078 | −0.151539 | − | 0.988451i | \(-0.548423\pi\) | ||||
−0.151539 | + | 0.988451i | \(0.548423\pi\) | |||||||
\(14\) | 1.53125 | 0.409245 | ||||||||
\(15\) | −2.45194 | −0.633087 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.63794 | 0.882331 | 0.441166 | − | 0.897426i | \(-0.354565\pi\) | ||||
0.441166 | + | 0.897426i | \(0.354565\pi\) | |||||||
\(18\) | 3.01199 | 0.709932 | ||||||||
\(19\) | −2.31419 | −0.530911 | −0.265456 | − | 0.964123i | \(-0.585522\pi\) | ||||
−0.265456 | + | 0.964123i | \(0.585522\pi\) | |||||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −3.75453 | −0.819306 | ||||||||
\(22\) | −0.396039 | −0.0844359 | ||||||||
\(23\) | −7.59249 | −1.58314 | −0.791572 | − | 0.611076i | \(-0.790737\pi\) | ||||
−0.791572 | + | 0.611076i | \(0.790737\pi\) | |||||||
\(24\) | −2.45194 | −0.500499 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.09276 | −0.214309 | ||||||||
\(27\) | −0.0293880 | −0.00565572 | ||||||||
\(28\) | 1.53125 | 0.289380 | ||||||||
\(29\) | −0.633968 | −0.117725 | −0.0588624 | − | 0.998266i | \(-0.518747\pi\) | ||||
−0.0588624 | + | 0.998266i | \(0.518747\pi\) | |||||||
\(30\) | −2.45194 | −0.447660 | ||||||||
\(31\) | −1.51909 | −0.272837 | −0.136418 | − | 0.990651i | \(-0.543559\pi\) | ||||
−0.136418 | + | 0.990651i | \(0.543559\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.971063 | 0.169040 | ||||||||
\(34\) | 3.63794 | 0.623902 | ||||||||
\(35\) | 1.53125 | 0.258829 | ||||||||
\(36\) | 3.01199 | 0.501998 | ||||||||
\(37\) | −9.28972 | −1.52722 | −0.763610 | − | 0.645678i | \(-0.776575\pi\) | ||||
−0.763610 | + | 0.645678i | \(0.776575\pi\) | |||||||
\(38\) | −2.31419 | −0.375411 | ||||||||
\(39\) | 2.67939 | 0.429045 | ||||||||
\(40\) | 1.00000 | 0.158114 | ||||||||
\(41\) | −8.32601 | −1.30030 | −0.650152 | − | 0.759804i | \(-0.725295\pi\) | ||||
−0.650152 | + | 0.759804i | \(0.725295\pi\) | |||||||
\(42\) | −3.75453 | −0.579337 | ||||||||
\(43\) | 4.30278 | 0.656167 | 0.328084 | − | 0.944649i | \(-0.393597\pi\) | ||||
0.328084 | + | 0.944649i | \(0.393597\pi\) | |||||||
\(44\) | −0.396039 | −0.0597052 | ||||||||
\(45\) | 3.01199 | 0.449000 | ||||||||
\(46\) | −7.59249 | −1.11945 | ||||||||
\(47\) | 1.40081 | 0.204329 | 0.102164 | − | 0.994768i | \(-0.467423\pi\) | ||||
0.102164 | + | 0.994768i | \(0.467423\pi\) | |||||||
\(48\) | −2.45194 | −0.353906 | ||||||||
\(49\) | −4.65526 | −0.665038 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | −8.92000 | −1.24905 | ||||||||
\(52\) | −1.09276 | −0.151539 | ||||||||
\(53\) | −3.05413 | −0.419517 | −0.209758 | − | 0.977753i | \(-0.567268\pi\) | ||||
−0.209758 | + | 0.977753i | \(0.567268\pi\) | |||||||
\(54\) | −0.0293880 | −0.00399920 | ||||||||
\(55\) | −0.396039 | −0.0534020 | ||||||||
\(56\) | 1.53125 | 0.204622 | ||||||||
\(57\) | 5.67424 | 0.751571 | ||||||||
\(58\) | −0.633968 | −0.0832440 | ||||||||
\(59\) | −3.82943 | −0.498550 | −0.249275 | − | 0.968433i | \(-0.580192\pi\) | ||||
−0.249275 | + | 0.968433i | \(0.580192\pi\) | |||||||
\(60\) | −2.45194 | −0.316543 | ||||||||
\(61\) | −1.88634 | −0.241521 | −0.120760 | − | 0.992682i | \(-0.538533\pi\) | ||||
−0.120760 | + | 0.992682i | \(0.538533\pi\) | |||||||
\(62\) | −1.51909 | −0.192925 | ||||||||
\(63\) | 4.61211 | 0.581072 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.09276 | −0.135541 | ||||||||
\(66\) | 0.971063 | 0.119530 | ||||||||
\(67\) | 0.761251 | 0.0930017 | 0.0465008 | − | 0.998918i | \(-0.485193\pi\) | ||||
0.0465008 | + | 0.998918i | \(0.485193\pi\) | |||||||
\(68\) | 3.63794 | 0.441166 | ||||||||
\(69\) | 18.6163 | 2.24114 | ||||||||
\(70\) | 1.53125 | 0.183020 | ||||||||
\(71\) | 10.9195 | 1.29591 | 0.647955 | − | 0.761679i | \(-0.275625\pi\) | ||||
0.647955 | + | 0.761679i | \(0.275625\pi\) | |||||||
\(72\) | 3.01199 | 0.354966 | ||||||||
\(73\) | −9.16888 | −1.07314 | −0.536568 | − | 0.843857i | \(-0.680280\pi\) | ||||
−0.536568 | + | 0.843857i | \(0.680280\pi\) | |||||||
\(74\) | −9.28972 | −1.07991 | ||||||||
\(75\) | −2.45194 | −0.283125 | ||||||||
\(76\) | −2.31419 | −0.265456 | ||||||||
\(77\) | −0.606437 | −0.0691099 | ||||||||
\(78\) | 2.67939 | 0.303381 | ||||||||
\(79\) | 12.0604 | 1.35690 | 0.678448 | − | 0.734649i | \(-0.262653\pi\) | ||||
0.678448 | + | 0.734649i | \(0.262653\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −8.96390 | −0.995989 | ||||||||
\(82\) | −8.32601 | −0.919454 | ||||||||
\(83\) | 5.18730 | 0.569381 | 0.284690 | − | 0.958620i | \(-0.408109\pi\) | ||||
0.284690 | + | 0.958620i | \(0.408109\pi\) | |||||||
\(84\) | −3.75453 | −0.409653 | ||||||||
\(85\) | 3.63794 | 0.394591 | ||||||||
\(86\) | 4.30278 | 0.463980 | ||||||||
\(87\) | 1.55445 | 0.166654 | ||||||||
\(88\) | −0.396039 | −0.0422179 | ||||||||
\(89\) | 4.52465 | 0.479612 | 0.239806 | − | 0.970821i | \(-0.422916\pi\) | ||||
0.239806 | + | 0.970821i | \(0.422916\pi\) | |||||||
\(90\) | 3.01199 | 0.317491 | ||||||||
\(91\) | −1.67330 | −0.175409 | ||||||||
\(92\) | −7.59249 | −0.791572 | ||||||||
\(93\) | 3.72471 | 0.386235 | ||||||||
\(94\) | 1.40081 | 0.144482 | ||||||||
\(95\) | −2.31419 | −0.237431 | ||||||||
\(96\) | −2.45194 | −0.250250 | ||||||||
\(97\) | −3.00998 | −0.305617 | −0.152809 | − | 0.988256i | \(-0.548832\pi\) | ||||
−0.152809 | + | 0.988256i | \(0.548832\pi\) | |||||||
\(98\) | −4.65526 | −0.470253 | ||||||||
\(99\) | −1.19287 | −0.119887 | ||||||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 0.532308 | 0.0529667 | 0.0264833 | − | 0.999649i | \(-0.491569\pi\) | ||||
0.0264833 | + | 0.999649i | \(0.491569\pi\) | |||||||
\(102\) | −8.92000 | −0.883212 | ||||||||
\(103\) | 6.08972 | 0.600038 | 0.300019 | − | 0.953933i | \(-0.403007\pi\) | ||||
0.300019 | + | 0.953933i | \(0.403007\pi\) | |||||||
\(104\) | −1.09276 | −0.107154 | ||||||||
\(105\) | −3.75453 | −0.366405 | ||||||||
\(106\) | −3.05413 | −0.296643 | ||||||||
\(107\) | 13.6173 | 1.31644 | 0.658219 | − | 0.752826i | \(-0.271310\pi\) | ||||
0.658219 | + | 0.752826i | \(0.271310\pi\) | |||||||
\(108\) | −0.0293880 | −0.00282786 | ||||||||
\(109\) | −9.80852 | −0.939486 | −0.469743 | − | 0.882803i | \(-0.655653\pi\) | ||||
−0.469743 | + | 0.882803i | \(0.655653\pi\) | |||||||
\(110\) | −0.396039 | −0.0377609 | ||||||||
\(111\) | 22.7778 | 2.16197 | ||||||||
\(112\) | 1.53125 | 0.144690 | ||||||||
\(113\) | −20.8087 | −1.95752 | −0.978758 | − | 0.205021i | \(-0.934274\pi\) | ||||
−0.978758 | + | 0.205021i | \(0.934274\pi\) | |||||||
\(114\) | 5.67424 | 0.531441 | ||||||||
\(115\) | −7.59249 | −0.708004 | ||||||||
\(116\) | −0.633968 | −0.0588624 | ||||||||
\(117\) | −3.29139 | −0.304289 | ||||||||
\(118\) | −3.82943 | −0.352528 | ||||||||
\(119\) | 5.57062 | 0.510657 | ||||||||
\(120\) | −2.45194 | −0.223830 | ||||||||
\(121\) | −10.8432 | −0.985741 | ||||||||
\(122\) | −1.88634 | −0.170781 | ||||||||
\(123\) | 20.4148 | 1.84074 | ||||||||
\(124\) | −1.51909 | −0.136418 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 4.61211 | 0.410880 | ||||||||
\(127\) | −9.69057 | −0.859899 | −0.429949 | − | 0.902853i | \(-0.641469\pi\) | ||||
−0.429949 | + | 0.902853i | \(0.641469\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −10.5501 | −0.928887 | ||||||||
\(130\) | −1.09276 | −0.0958418 | ||||||||
\(131\) | −21.5290 | −1.88099 | −0.940497 | − | 0.339803i | \(-0.889640\pi\) | ||||
−0.940497 | + | 0.339803i | \(0.889640\pi\) | |||||||
\(132\) | 0.971063 | 0.0845202 | ||||||||
\(133\) | −3.54361 | −0.307270 | ||||||||
\(134\) | 0.761251 | 0.0657621 | ||||||||
\(135\) | −0.0293880 | −0.00252932 | ||||||||
\(136\) | 3.63794 | 0.311951 | ||||||||
\(137\) | −12.2619 | −1.04760 | −0.523801 | − | 0.851841i | \(-0.675486\pi\) | ||||
−0.523801 | + | 0.851841i | \(0.675486\pi\) | |||||||
\(138\) | 18.6163 | 1.58472 | ||||||||
\(139\) | 6.79180 | 0.576073 | 0.288036 | − | 0.957619i | \(-0.406998\pi\) | ||||
0.288036 | + | 0.957619i | \(0.406998\pi\) | |||||||
\(140\) | 1.53125 | 0.129415 | ||||||||
\(141\) | −3.43469 | −0.289253 | ||||||||
\(142\) | 10.9195 | 0.916347 | ||||||||
\(143\) | 0.432778 | 0.0361907 | ||||||||
\(144\) | 3.01199 | 0.250999 | ||||||||
\(145\) | −0.633968 | −0.0526481 | ||||||||
\(146\) | −9.16888 | −0.758822 | ||||||||
\(147\) | 11.4144 | 0.941444 | ||||||||
\(148\) | −9.28972 | −0.763610 | ||||||||
\(149\) | 1.03273 | 0.0846047 | 0.0423023 | − | 0.999105i | \(-0.486531\pi\) | ||||
0.0423023 | + | 0.999105i | \(0.486531\pi\) | |||||||
\(150\) | −2.45194 | −0.200200 | ||||||||
\(151\) | −4.34453 | −0.353553 | −0.176777 | − | 0.984251i | \(-0.556567\pi\) | ||||
−0.176777 | + | 0.984251i | \(0.556567\pi\) | |||||||
\(152\) | −2.31419 | −0.187705 | ||||||||
\(153\) | 10.9574 | 0.885856 | ||||||||
\(154\) | −0.606437 | −0.0488681 | ||||||||
\(155\) | −1.51909 | −0.122016 | ||||||||
\(156\) | 2.67939 | 0.214523 | ||||||||
\(157\) | 5.37740 | 0.429163 | 0.214582 | − | 0.976706i | \(-0.431161\pi\) | ||||
0.214582 | + | 0.976706i | \(0.431161\pi\) | |||||||
\(158\) | 12.0604 | 0.959470 | ||||||||
\(159\) | 7.48852 | 0.593878 | ||||||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −11.6260 | −0.916260 | ||||||||
\(162\) | −8.96390 | −0.704270 | ||||||||
\(163\) | 14.9767 | 1.17306 | 0.586531 | − | 0.809927i | \(-0.300493\pi\) | ||||
0.586531 | + | 0.809927i | \(0.300493\pi\) | |||||||
\(164\) | −8.32601 | −0.650152 | ||||||||
\(165\) | 0.971063 | 0.0755972 | ||||||||
\(166\) | 5.18730 | 0.402613 | ||||||||
\(167\) | −2.41704 | −0.187037 | −0.0935183 | − | 0.995618i | \(-0.529811\pi\) | ||||
−0.0935183 | + | 0.995618i | \(0.529811\pi\) | |||||||
\(168\) | −3.75453 | −0.289669 | ||||||||
\(169\) | −11.8059 | −0.908144 | ||||||||
\(170\) | 3.63794 | 0.279018 | ||||||||
\(171\) | −6.97030 | −0.533032 | ||||||||
\(172\) | 4.30278 | 0.328084 | ||||||||
\(173\) | −11.4142 | −0.867808 | −0.433904 | − | 0.900959i | \(-0.642864\pi\) | ||||
−0.433904 | + | 0.900959i | \(0.642864\pi\) | |||||||
\(174\) | 1.55445 | 0.117842 | ||||||||
\(175\) | 1.53125 | 0.115752 | ||||||||
\(176\) | −0.396039 | −0.0298526 | ||||||||
\(177\) | 9.38952 | 0.705760 | ||||||||
\(178\) | 4.52465 | 0.339137 | ||||||||
\(179\) | −1.20874 | −0.0903458 | −0.0451729 | − | 0.998979i | \(-0.514384\pi\) | ||||
−0.0451729 | + | 0.998979i | \(0.514384\pi\) | |||||||
\(180\) | 3.01199 | 0.224500 | ||||||||
\(181\) | 14.9579 | 1.11182 | 0.555908 | − | 0.831244i | \(-0.312371\pi\) | ||||
0.555908 | + | 0.831244i | \(0.312371\pi\) | |||||||
\(182\) | −1.67330 | −0.124033 | ||||||||
\(183\) | 4.62518 | 0.341903 | ||||||||
\(184\) | −7.59249 | −0.559726 | ||||||||
\(185\) | −9.28972 | −0.682993 | ||||||||
\(186\) | 3.72471 | 0.273109 | ||||||||
\(187\) | −1.44077 | −0.105360 | ||||||||
\(188\) | 1.40081 | 0.102164 | ||||||||
\(189\) | −0.0450005 | −0.00327330 | ||||||||
\(190\) | −2.31419 | −0.167889 | ||||||||
\(191\) | −9.94895 | −0.719881 | −0.359940 | − | 0.932975i | \(-0.617203\pi\) | ||||
−0.359940 | + | 0.932975i | \(0.617203\pi\) | |||||||
\(192\) | −2.45194 | −0.176953 | ||||||||
\(193\) | 25.9678 | 1.86920 | 0.934602 | − | 0.355694i | \(-0.115756\pi\) | ||||
0.934602 | + | 0.355694i | \(0.115756\pi\) | |||||||
\(194\) | −3.00998 | −0.216104 | ||||||||
\(195\) | 2.67939 | 0.191875 | ||||||||
\(196\) | −4.65526 | −0.332519 | ||||||||
\(197\) | 23.4003 | 1.66720 | 0.833602 | − | 0.552366i | \(-0.186275\pi\) | ||||
0.833602 | + | 0.552366i | \(0.186275\pi\) | |||||||
\(198\) | −1.19287 | −0.0847732 | ||||||||
\(199\) | −5.85957 | −0.415374 | −0.207687 | − | 0.978195i | \(-0.566594\pi\) | ||||
−0.207687 | + | 0.978195i | \(0.566594\pi\) | |||||||
\(200\) | 1.00000 | 0.0707107 | ||||||||
\(201\) | −1.86654 | −0.131656 | ||||||||
\(202\) | 0.532308 | 0.0374531 | ||||||||
\(203\) | −0.970765 | −0.0681344 | ||||||||
\(204\) | −8.92000 | −0.624525 | ||||||||
\(205\) | −8.32601 | −0.581514 | ||||||||
\(206\) | 6.08972 | 0.424291 | ||||||||
\(207\) | −22.8685 | −1.58947 | ||||||||
\(208\) | −1.09276 | −0.0757696 | ||||||||
\(209\) | 0.916510 | 0.0633963 | ||||||||
\(210\) | −3.75453 | −0.259087 | ||||||||
\(211\) | −18.4089 | −1.26732 | −0.633660 | − | 0.773612i | \(-0.718448\pi\) | ||||
−0.633660 | + | 0.773612i | \(0.718448\pi\) | |||||||
\(212\) | −3.05413 | −0.209758 | ||||||||
\(213\) | −26.7740 | −1.83452 | ||||||||
\(214\) | 13.6173 | 0.930863 | ||||||||
\(215\) | 4.30278 | 0.293447 | ||||||||
\(216\) | −0.0293880 | −0.00199960 | ||||||||
\(217\) | −2.32611 | −0.157907 | ||||||||
\(218\) | −9.80852 | −0.664317 | ||||||||
\(219\) | 22.4815 | 1.51916 | ||||||||
\(220\) | −0.396039 | −0.0267010 | ||||||||
\(221\) | −3.97542 | −0.267415 | ||||||||
\(222\) | 22.7778 | 1.52874 | ||||||||
\(223\) | −20.6115 | −1.38025 | −0.690124 | − | 0.723691i | \(-0.742444\pi\) | ||||
−0.690124 | + | 0.723691i | \(0.742444\pi\) | |||||||
\(224\) | 1.53125 | 0.102311 | ||||||||
\(225\) | 3.01199 | 0.200799 | ||||||||
\(226\) | −20.8087 | −1.38417 | ||||||||
\(227\) | 1.48231 | 0.0983846 | 0.0491923 | − | 0.998789i | \(-0.484335\pi\) | ||||
0.0491923 | + | 0.998789i | \(0.484335\pi\) | |||||||
\(228\) | 5.67424 | 0.375786 | ||||||||
\(229\) | 16.8575 | 1.11397 | 0.556987 | − | 0.830521i | \(-0.311957\pi\) | ||||
0.556987 | + | 0.830521i | \(0.311957\pi\) | |||||||
\(230\) | −7.59249 | −0.500634 | ||||||||
\(231\) | 1.48694 | 0.0978337 | ||||||||
\(232\) | −0.633968 | −0.0416220 | ||||||||
\(233\) | 9.60557 | 0.629281 | 0.314641 | − | 0.949211i | \(-0.398116\pi\) | ||||
0.314641 | + | 0.949211i | \(0.398116\pi\) | |||||||
\(234\) | −3.29139 | −0.215165 | ||||||||
\(235\) | 1.40081 | 0.0913786 | ||||||||
\(236\) | −3.82943 | −0.249275 | ||||||||
\(237\) | −29.5712 | −1.92086 | ||||||||
\(238\) | 5.57062 | 0.361089 | ||||||||
\(239\) | 16.5353 | 1.06958 | 0.534789 | − | 0.844986i | \(-0.320391\pi\) | ||||
0.534789 | + | 0.844986i | \(0.320391\pi\) | |||||||
\(240\) | −2.45194 | −0.158272 | ||||||||
\(241\) | −12.5932 | −0.811197 | −0.405599 | − | 0.914051i | \(-0.632937\pi\) | ||||
−0.405599 | + | 0.914051i | \(0.632937\pi\) | |||||||
\(242\) | −10.8432 | −0.697024 | ||||||||
\(243\) | 22.0671 | 1.41560 | ||||||||
\(244\) | −1.88634 | −0.120760 | ||||||||
\(245\) | −4.65526 | −0.297414 | ||||||||
\(246\) | 20.4148 | 1.30160 | ||||||||
\(247\) | 2.52886 | 0.160908 | ||||||||
\(248\) | −1.51909 | −0.0964623 | ||||||||
\(249\) | −12.7189 | −0.806030 | ||||||||
\(250\) | 1.00000 | 0.0632456 | ||||||||
\(251\) | −16.6158 | −1.04878 | −0.524389 | − | 0.851479i | \(-0.675706\pi\) | ||||
−0.524389 | + | 0.851479i | \(0.675706\pi\) | |||||||
\(252\) | 4.61211 | 0.290536 | ||||||||
\(253\) | 3.00693 | 0.189044 | ||||||||
\(254\) | −9.69057 | −0.608040 | ||||||||
\(255\) | −8.92000 | −0.558592 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −9.19197 | −0.573379 | −0.286690 | − | 0.958024i | \(-0.592555\pi\) | ||||
−0.286690 | + | 0.958024i | \(0.592555\pi\) | |||||||
\(258\) | −10.5501 | −0.656822 | ||||||||
\(259\) | −14.2249 | −0.883893 | ||||||||
\(260\) | −1.09276 | −0.0677704 | ||||||||
\(261\) | −1.90950 | −0.118195 | ||||||||
\(262\) | −21.5290 | −1.33006 | ||||||||
\(263\) | −2.49743 | −0.153998 | −0.0769990 | − | 0.997031i | \(-0.524534\pi\) | ||||
−0.0769990 | + | 0.997031i | \(0.524534\pi\) | |||||||
\(264\) | 0.971063 | 0.0597648 | ||||||||
\(265\) | −3.05413 | −0.187614 | ||||||||
\(266\) | −3.54361 | −0.217273 | ||||||||
\(267\) | −11.0942 | −0.678951 | ||||||||
\(268\) | 0.761251 | 0.0465008 | ||||||||
\(269\) | −3.88751 | −0.237026 | −0.118513 | − | 0.992953i | \(-0.537813\pi\) | ||||
−0.118513 | + | 0.992953i | \(0.537813\pi\) | |||||||
\(270\) | −0.0293880 | −0.00178850 | ||||||||
\(271\) | −30.2193 | −1.83569 | −0.917846 | − | 0.396936i | \(-0.870073\pi\) | ||||
−0.917846 | + | 0.396936i | \(0.870073\pi\) | |||||||
\(272\) | 3.63794 | 0.220583 | ||||||||
\(273\) | 4.10282 | 0.248314 | ||||||||
\(274\) | −12.2619 | −0.740767 | ||||||||
\(275\) | −0.396039 | −0.0238821 | ||||||||
\(276\) | 18.6163 | 1.12057 | ||||||||
\(277\) | −20.8024 | −1.24990 | −0.624949 | − | 0.780666i | \(-0.714880\pi\) | ||||
−0.624949 | + | 0.780666i | \(0.714880\pi\) | |||||||
\(278\) | 6.79180 | 0.407345 | ||||||||
\(279\) | −4.57548 | −0.273927 | ||||||||
\(280\) | 1.53125 | 0.0915099 | ||||||||
\(281\) | −14.8183 | −0.883986 | −0.441993 | − | 0.897019i | \(-0.645728\pi\) | ||||
−0.441993 | + | 0.897019i | \(0.645728\pi\) | |||||||
\(282\) | −3.43469 | −0.204533 | ||||||||
\(283\) | 16.1605 | 0.960640 | 0.480320 | − | 0.877093i | \(-0.340521\pi\) | ||||
0.480320 | + | 0.877093i | \(0.340521\pi\) | |||||||
\(284\) | 10.9195 | 0.647955 | ||||||||
\(285\) | 5.67424 | 0.336113 | ||||||||
\(286\) | 0.432778 | 0.0255907 | ||||||||
\(287\) | −12.7492 | −0.752563 | ||||||||
\(288\) | 3.01199 | 0.177483 | ||||||||
\(289\) | −3.76536 | −0.221492 | ||||||||
\(290\) | −0.633968 | −0.0372279 | ||||||||
\(291\) | 7.38027 | 0.432639 | ||||||||
\(292\) | −9.16888 | −0.536568 | ||||||||
\(293\) | −23.7155 | −1.38548 | −0.692738 | − | 0.721189i | \(-0.743596\pi\) | ||||
−0.692738 | + | 0.721189i | \(0.743596\pi\) | |||||||
\(294\) | 11.4144 | 0.665701 | ||||||||
\(295\) | −3.82943 | −0.222958 | ||||||||
\(296\) | −9.28972 | −0.539954 | ||||||||
\(297\) | 0.0116388 | 0.000675352 0 | ||||||||
\(298\) | 1.03273 | 0.0598245 | ||||||||
\(299\) | 8.29681 | 0.479817 | ||||||||
\(300\) | −2.45194 | −0.141563 | ||||||||
\(301\) | 6.58864 | 0.379763 | ||||||||
\(302\) | −4.34453 | −0.250000 | ||||||||
\(303\) | −1.30519 | −0.0749809 | ||||||||
\(304\) | −2.31419 | −0.132728 | ||||||||
\(305\) | −1.88634 | −0.108011 | ||||||||
\(306\) | 10.9574 | 0.626395 | ||||||||
\(307\) | 8.00442 | 0.456837 | 0.228418 | − | 0.973563i | \(-0.426645\pi\) | ||||
0.228418 | + | 0.973563i | \(0.426645\pi\) | |||||||
\(308\) | −0.606437 | −0.0345549 | ||||||||
\(309\) | −14.9316 | −0.849428 | ||||||||
\(310\) | −1.51909 | −0.0862785 | ||||||||
\(311\) | −0.0537748 | −0.00304929 | −0.00152464 | − | 0.999999i | \(-0.500485\pi\) | ||||
−0.00152464 | + | 0.999999i | \(0.500485\pi\) | |||||||
\(312\) | 2.67939 | 0.151690 | ||||||||
\(313\) | −1.40462 | −0.0793941 | −0.0396970 | − | 0.999212i | \(-0.512639\pi\) | ||||
−0.0396970 | + | 0.999212i | \(0.512639\pi\) | |||||||
\(314\) | 5.37740 | 0.303464 | ||||||||
\(315\) | 4.61211 | 0.259863 | ||||||||
\(316\) | 12.0604 | 0.678448 | ||||||||
\(317\) | 22.2009 | 1.24693 | 0.623464 | − | 0.781852i | \(-0.285725\pi\) | ||||
0.623464 | + | 0.781852i | \(0.285725\pi\) | |||||||
\(318\) | 7.48852 | 0.419936 | ||||||||
\(319\) | 0.251076 | 0.0140576 | ||||||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | −33.3888 | −1.86358 | ||||||||
\(322\) | −11.6260 | −0.647893 | ||||||||
\(323\) | −8.41889 | −0.468439 | ||||||||
\(324\) | −8.96390 | −0.497994 | ||||||||
\(325\) | −1.09276 | −0.0606157 | ||||||||
\(326\) | 14.9767 | 0.829480 | ||||||||
\(327\) | 24.0499 | 1.32996 | ||||||||
\(328\) | −8.32601 | −0.459727 | ||||||||
\(329\) | 2.14499 | 0.118257 | ||||||||
\(330\) | 0.971063 | 0.0534553 | ||||||||
\(331\) | −9.64406 | −0.530086 | −0.265043 | − | 0.964237i | \(-0.585386\pi\) | ||||
−0.265043 | + | 0.964237i | \(0.585386\pi\) | |||||||
\(332\) | 5.18730 | 0.284690 | ||||||||
\(333\) | −27.9805 | −1.53332 | ||||||||
\(334\) | −2.41704 | −0.132255 | ||||||||
\(335\) | 0.761251 | 0.0415916 | ||||||||
\(336\) | −3.75453 | −0.204827 | ||||||||
\(337\) | 21.3371 | 1.16230 | 0.581152 | − | 0.813795i | \(-0.302602\pi\) | ||||
0.581152 | + | 0.813795i | \(0.302602\pi\) | |||||||
\(338\) | −11.8059 | −0.642154 | ||||||||
\(339\) | 51.0215 | 2.77111 | ||||||||
\(340\) | 3.63794 | 0.197295 | ||||||||
\(341\) | 0.601620 | 0.0325795 | ||||||||
\(342\) | −6.97030 | −0.376911 | ||||||||
\(343\) | −17.8472 | −0.963656 | ||||||||
\(344\) | 4.30278 | 0.231990 | ||||||||
\(345\) | 18.6163 | 1.00227 | ||||||||
\(346\) | −11.4142 | −0.613633 | ||||||||
\(347\) | −8.03328 | −0.431249 | −0.215625 | − | 0.976476i | \(-0.569179\pi\) | ||||
−0.215625 | + | 0.976476i | \(0.569179\pi\) | |||||||
\(348\) | 1.55445 | 0.0833271 | ||||||||
\(349\) | −29.8503 | −1.59785 | −0.798925 | − | 0.601431i | \(-0.794597\pi\) | ||||
−0.798925 | + | 0.601431i | \(0.794597\pi\) | |||||||
\(350\) | 1.53125 | 0.0818489 | ||||||||
\(351\) | 0.0321142 | 0.00171413 | ||||||||
\(352\) | −0.396039 | −0.0211090 | ||||||||
\(353\) | −17.5750 | −0.935421 | −0.467711 | − | 0.883882i | \(-0.654921\pi\) | ||||
−0.467711 | + | 0.883882i | \(0.654921\pi\) | |||||||
\(354\) | 9.38952 | 0.499047 | ||||||||
\(355\) | 10.9195 | 0.579549 | ||||||||
\(356\) | 4.52465 | 0.239806 | ||||||||
\(357\) | −13.6588 | −0.722900 | ||||||||
\(358\) | −1.20874 | −0.0638841 | ||||||||
\(359\) | −0.327073 | −0.0172623 | −0.00863113 | − | 0.999963i | \(-0.502747\pi\) | ||||
−0.00863113 | + | 0.999963i | \(0.502747\pi\) | |||||||
\(360\) | 3.01199 | 0.158746 | ||||||||
\(361\) | −13.6445 | −0.718133 | ||||||||
\(362\) | 14.9579 | 0.786172 | ||||||||
\(363\) | 26.5867 | 1.39544 | ||||||||
\(364\) | −1.67330 | −0.0877047 | ||||||||
\(365\) | −9.16888 | −0.479921 | ||||||||
\(366\) | 4.62518 | 0.241762 | ||||||||
\(367\) | 2.12995 | 0.111183 | 0.0555913 | − | 0.998454i | \(-0.482296\pi\) | ||||
0.0555913 | + | 0.998454i | \(0.482296\pi\) | |||||||
\(368\) | −7.59249 | −0.395786 | ||||||||
\(369\) | −25.0778 | −1.30550 | ||||||||
\(370\) | −9.28972 | −0.482949 | ||||||||
\(371\) | −4.67664 | −0.242799 | ||||||||
\(372\) | 3.72471 | 0.193117 | ||||||||
\(373\) | 14.4437 | 0.747866 | 0.373933 | − | 0.927456i | \(-0.378009\pi\) | ||||
0.373933 | + | 0.927456i | \(0.378009\pi\) | |||||||
\(374\) | −1.44077 | −0.0745004 | ||||||||
\(375\) | −2.45194 | −0.126617 | ||||||||
\(376\) | 1.40081 | 0.0722411 | ||||||||
\(377\) | 0.692777 | 0.0356798 | ||||||||
\(378\) | −0.0450005 | −0.00231457 | ||||||||
\(379\) | −0.670819 | −0.0344576 | −0.0172288 | − | 0.999852i | \(-0.505484\pi\) | ||||
−0.0172288 | + | 0.999852i | \(0.505484\pi\) | |||||||
\(380\) | −2.31419 | −0.118715 | ||||||||
\(381\) | 23.7606 | 1.21729 | ||||||||
\(382\) | −9.94895 | −0.509033 | ||||||||
\(383\) | 16.8074 | 0.858820 | 0.429410 | − | 0.903110i | \(-0.358722\pi\) | ||||
0.429410 | + | 0.903110i | \(0.358722\pi\) | |||||||
\(384\) | −2.45194 | −0.125125 | ||||||||
\(385\) | −0.606437 | −0.0309069 | ||||||||
\(386\) | 25.9678 | 1.32173 | ||||||||
\(387\) | 12.9599 | 0.658789 | ||||||||
\(388\) | −3.00998 | −0.152809 | ||||||||
\(389\) | −12.7529 | −0.646599 | −0.323299 | − | 0.946297i | \(-0.604792\pi\) | ||||
−0.323299 | + | 0.946297i | \(0.604792\pi\) | |||||||
\(390\) | 2.67939 | 0.135676 | ||||||||
\(391\) | −27.6211 | −1.39686 | ||||||||
\(392\) | −4.65526 | −0.235126 | ||||||||
\(393\) | 52.7876 | 2.66278 | ||||||||
\(394\) | 23.4003 | 1.17889 | ||||||||
\(395\) | 12.0604 | 0.606822 | ||||||||
\(396\) | −1.19287 | −0.0599437 | ||||||||
\(397\) | −25.8713 | −1.29845 | −0.649223 | − | 0.760598i | \(-0.724906\pi\) | ||||
−0.649223 | + | 0.760598i | \(0.724906\pi\) | |||||||
\(398\) | −5.85957 | −0.293714 | ||||||||
\(399\) | 8.68870 | 0.434979 | ||||||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −28.6031 | −1.42837 | −0.714186 | − | 0.699956i | \(-0.753203\pi\) | ||||
−0.714186 | + | 0.699956i | \(0.753203\pi\) | |||||||
\(402\) | −1.86654 | −0.0930945 | ||||||||
\(403\) | 1.66001 | 0.0826909 | ||||||||
\(404\) | 0.532308 | 0.0264833 | ||||||||
\(405\) | −8.96390 | −0.445420 | ||||||||
\(406\) | −0.970765 | −0.0481783 | ||||||||
\(407\) | 3.67909 | 0.182366 | ||||||||
\(408\) | −8.92000 | −0.441606 | ||||||||
\(409\) | 14.6563 | 0.724705 | 0.362352 | − | 0.932041i | \(-0.381974\pi\) | ||||
0.362352 | + | 0.932041i | \(0.381974\pi\) | |||||||
\(410\) | −8.32601 | −0.411192 | ||||||||
\(411\) | 30.0653 | 1.48301 | ||||||||
\(412\) | 6.08972 | 0.300019 | ||||||||
\(413\) | −5.86383 | −0.288540 | ||||||||
\(414\) | −22.8685 | −1.12392 | ||||||||
\(415\) | 5.18730 | 0.254635 | ||||||||
\(416\) | −1.09276 | −0.0535772 | ||||||||
\(417\) | −16.6530 | −0.815503 | ||||||||
\(418\) | 0.916510 | 0.0448279 | ||||||||
\(419\) | −17.9226 | −0.875577 | −0.437789 | − | 0.899078i | \(-0.644238\pi\) | ||||
−0.437789 | + | 0.899078i | \(0.644238\pi\) | |||||||
\(420\) | −3.75453 | −0.183202 | ||||||||
\(421\) | −22.5700 | −1.09999 | −0.549997 | − | 0.835167i | \(-0.685371\pi\) | ||||
−0.549997 | + | 0.835167i | \(0.685371\pi\) | |||||||
\(422\) | −18.4089 | −0.896130 | ||||||||
\(423\) | 4.21921 | 0.205145 | ||||||||
\(424\) | −3.05413 | −0.148322 | ||||||||
\(425\) | 3.63794 | 0.176466 | ||||||||
\(426\) | −26.7740 | −1.29720 | ||||||||
\(427\) | −2.88846 | −0.139782 | ||||||||
\(428\) | 13.6173 | 0.658219 | ||||||||
\(429\) | −1.06114 | −0.0512325 | ||||||||
\(430\) | 4.30278 | 0.207498 | ||||||||
\(431\) | −32.5987 | −1.57022 | −0.785112 | − | 0.619354i | \(-0.787395\pi\) | ||||
−0.785112 | + | 0.619354i | \(0.787395\pi\) | |||||||
\(432\) | −0.0293880 | −0.00141393 | ||||||||
\(433\) | 15.0639 | 0.723927 | 0.361963 | − | 0.932192i | \(-0.382107\pi\) | ||||
0.361963 | + | 0.932192i | \(0.382107\pi\) | |||||||
\(434\) | −2.32611 | −0.111657 | ||||||||
\(435\) | 1.55445 | 0.0745301 | ||||||||
\(436\) | −9.80852 | −0.469743 | ||||||||
\(437\) | 17.5705 | 0.840509 | ||||||||
\(438\) | 22.4815 | 1.07421 | ||||||||
\(439\) | −14.3218 | −0.683541 | −0.341771 | − | 0.939783i | \(-0.611027\pi\) | ||||
−0.341771 | + | 0.939783i | \(0.611027\pi\) | |||||||
\(440\) | −0.396039 | −0.0188804 | ||||||||
\(441\) | −14.0216 | −0.667695 | ||||||||
\(442\) | −3.97542 | −0.189091 | ||||||||
\(443\) | −27.0727 | −1.28626 | −0.643131 | − | 0.765756i | \(-0.722365\pi\) | ||||
−0.643131 | + | 0.765756i | \(0.722365\pi\) | |||||||
\(444\) | 22.7778 | 1.08099 | ||||||||
\(445\) | 4.52465 | 0.214489 | ||||||||
\(446\) | −20.6115 | −0.975983 | ||||||||
\(447\) | −2.53219 | −0.119769 | ||||||||
\(448\) | 1.53125 | 0.0723449 | ||||||||
\(449\) | −15.6995 | −0.740906 | −0.370453 | − | 0.928851i | \(-0.620798\pi\) | ||||
−0.370453 | + | 0.928851i | \(0.620798\pi\) | |||||||
\(450\) | 3.01199 | 0.141986 | ||||||||
\(451\) | 3.29743 | 0.155270 | ||||||||
\(452\) | −20.8087 | −0.978758 | ||||||||
\(453\) | 10.6525 | 0.500499 | ||||||||
\(454\) | 1.48231 | 0.0695685 | ||||||||
\(455\) | −1.67330 | −0.0784455 | ||||||||
\(456\) | 5.67424 | 0.265721 | ||||||||
\(457\) | −12.6625 | −0.592325 | −0.296162 | − | 0.955138i | \(-0.595707\pi\) | ||||
−0.296162 | + | 0.955138i | \(0.595707\pi\) | |||||||
\(458\) | 16.8575 | 0.787699 | ||||||||
\(459\) | −0.106912 | −0.00499022 | ||||||||
\(460\) | −7.59249 | −0.354002 | ||||||||
\(461\) | −4.40611 | −0.205213 | −0.102607 | − | 0.994722i | \(-0.532718\pi\) | ||||
−0.102607 | + | 0.994722i | \(0.532718\pi\) | |||||||
\(462\) | 1.48694 | 0.0691789 | ||||||||
\(463\) | −0.442044 | −0.0205435 | −0.0102718 | − | 0.999947i | \(-0.503270\pi\) | ||||
−0.0102718 | + | 0.999947i | \(0.503270\pi\) | |||||||
\(464\) | −0.633968 | −0.0294312 | ||||||||
\(465\) | 3.72471 | 0.172729 | ||||||||
\(466\) | 9.60557 | 0.444969 | ||||||||
\(467\) | 9.22001 | 0.426651 | 0.213326 | − | 0.976981i | \(-0.431570\pi\) | ||||
0.213326 | + | 0.976981i | \(0.431570\pi\) | |||||||
\(468\) | −3.29139 | −0.152145 | ||||||||
\(469\) | 1.16567 | 0.0538256 | ||||||||
\(470\) | 1.40081 | 0.0646144 | ||||||||
\(471\) | −13.1850 | −0.607534 | ||||||||
\(472\) | −3.82943 | −0.176264 | ||||||||
\(473\) | −1.70407 | −0.0783532 | ||||||||
\(474\) | −29.5712 | −1.35825 | ||||||||
\(475\) | −2.31419 | −0.106182 | ||||||||
\(476\) | 5.57062 | 0.255329 | ||||||||
\(477\) | −9.19899 | −0.421193 | ||||||||
\(478\) | 16.5353 | 0.756305 | ||||||||
\(479\) | −37.4477 | −1.71103 | −0.855514 | − | 0.517779i | \(-0.826759\pi\) | ||||
−0.855514 | + | 0.517779i | \(0.826759\pi\) | |||||||
\(480\) | −2.45194 | −0.111915 | ||||||||
\(481\) | 10.1515 | 0.462867 | ||||||||
\(482\) | −12.5932 | −0.573603 | ||||||||
\(483\) | 28.5063 | 1.29708 | ||||||||
\(484\) | −10.8432 | −0.492871 | ||||||||
\(485\) | −3.00998 | −0.136676 | ||||||||
\(486\) | 22.0671 | 1.00098 | ||||||||
\(487\) | −31.5684 | −1.43050 | −0.715250 | − | 0.698869i | \(-0.753687\pi\) | ||||
−0.715250 | + | 0.698869i | \(0.753687\pi\) | |||||||
\(488\) | −1.88634 | −0.0853905 | ||||||||
\(489\) | −36.7218 | −1.66062 | ||||||||
\(490\) | −4.65526 | −0.210303 | ||||||||
\(491\) | 33.9877 | 1.53384 | 0.766921 | − | 0.641741i | \(-0.221788\pi\) | ||||
0.766921 | + | 0.641741i | \(0.221788\pi\) | |||||||
\(492\) | 20.4148 | 0.920371 | ||||||||
\(493\) | −2.30634 | −0.103872 | ||||||||
\(494\) | 2.52886 | 0.113779 | ||||||||
\(495\) | −1.19287 | −0.0536153 | ||||||||
\(496\) | −1.51909 | −0.0682092 | ||||||||
\(497\) | 16.7206 | 0.750020 | ||||||||
\(498\) | −12.7189 | −0.569949 | ||||||||
\(499\) | 21.0596 | 0.942756 | 0.471378 | − | 0.881931i | \(-0.343757\pi\) | ||||
0.471378 | + | 0.881931i | \(0.343757\pi\) | |||||||
\(500\) | 1.00000 | 0.0447214 | ||||||||
\(501\) | 5.92644 | 0.264774 | ||||||||
\(502\) | −16.6158 | −0.741598 | ||||||||
\(503\) | 24.9741 | 1.11354 | 0.556770 | − | 0.830667i | \(-0.312040\pi\) | ||||
0.556770 | + | 0.830667i | \(0.312040\pi\) | |||||||
\(504\) | 4.61211 | 0.205440 | ||||||||
\(505\) | 0.532308 | 0.0236874 | ||||||||
\(506\) | 3.00693 | 0.133674 | ||||||||
\(507\) | 28.9472 | 1.28559 | ||||||||
\(508\) | −9.69057 | −0.429949 | ||||||||
\(509\) | 16.0776 | 0.712629 | 0.356314 | − | 0.934366i | \(-0.384033\pi\) | ||||
0.356314 | + | 0.934366i | \(0.384033\pi\) | |||||||
\(510\) | −8.92000 | −0.394984 | ||||||||
\(511\) | −14.0399 | −0.621088 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0.0680093 | 0.00300269 | ||||||||
\(514\) | −9.19197 | −0.405440 | ||||||||
\(515\) | 6.08972 | 0.268345 | ||||||||
\(516\) | −10.5501 | −0.464444 | ||||||||
\(517\) | −0.554775 | −0.0243990 | ||||||||
\(518\) | −14.2249 | −0.625007 | ||||||||
\(519\) | 27.9870 | 1.22849 | ||||||||
\(520\) | −1.09276 | −0.0479209 | ||||||||
\(521\) | −5.18769 | −0.227277 | −0.113638 | − | 0.993522i | \(-0.536251\pi\) | ||||
−0.113638 | + | 0.993522i | \(0.536251\pi\) | |||||||
\(522\) | −1.90950 | −0.0835766 | ||||||||
\(523\) | −19.3734 | −0.847141 | −0.423570 | − | 0.905863i | \(-0.639223\pi\) | ||||
−0.423570 | + | 0.905863i | \(0.639223\pi\) | |||||||
\(524\) | −21.5290 | −0.940497 | ||||||||
\(525\) | −3.75453 | −0.163861 | ||||||||
\(526\) | −2.49743 | −0.108893 | ||||||||
\(527\) | −5.52637 | −0.240732 | ||||||||
\(528\) | 0.971063 | 0.0422601 | ||||||||
\(529\) | 34.6460 | 1.50635 | ||||||||
\(530\) | −3.05413 | −0.132663 | ||||||||
\(531\) | −11.5342 | −0.500541 | ||||||||
\(532\) | −3.54361 | −0.153635 | ||||||||
\(533\) | 9.09836 | 0.394094 | ||||||||
\(534\) | −11.0942 | −0.480091 | ||||||||
\(535\) | 13.6173 | 0.588729 | ||||||||
\(536\) | 0.761251 | 0.0328811 | ||||||||
\(537\) | 2.96376 | 0.127896 | ||||||||
\(538\) | −3.88751 | −0.167602 | ||||||||
\(539\) | 1.84367 | 0.0794124 | ||||||||
\(540\) | −0.0293880 | −0.00126466 | ||||||||
\(541\) | 19.8067 | 0.851557 | 0.425778 | − | 0.904827i | \(-0.360000\pi\) | ||||
0.425778 | + | 0.904827i | \(0.360000\pi\) | |||||||
\(542\) | −30.2193 | −1.29803 | ||||||||
\(543\) | −36.6759 | −1.57391 | ||||||||
\(544\) | 3.63794 | 0.155976 | ||||||||
\(545\) | −9.80852 | −0.420151 | ||||||||
\(546\) | 4.10282 | 0.175585 | ||||||||
\(547\) | 2.93473 | 0.125480 | 0.0627399 | − | 0.998030i | \(-0.480016\pi\) | ||||
0.0627399 | + | 0.998030i | \(0.480016\pi\) | |||||||
\(548\) | −12.2619 | −0.523801 | ||||||||
\(549\) | −5.68162 | −0.242486 | ||||||||
\(550\) | −0.396039 | −0.0168872 | ||||||||
\(551\) | 1.46712 | 0.0625014 | ||||||||
\(552\) | 18.6163 | 0.792362 | ||||||||
\(553\) | 18.4675 | 0.785316 | ||||||||
\(554\) | −20.8024 | −0.883811 | ||||||||
\(555\) | 22.7778 | 0.966863 | ||||||||
\(556\) | 6.79180 | 0.288036 | ||||||||
\(557\) | −25.6017 | −1.08478 | −0.542389 | − | 0.840128i | \(-0.682480\pi\) | ||||
−0.542389 | + | 0.840128i | \(0.682480\pi\) | |||||||
\(558\) | −4.57548 | −0.193695 | ||||||||
\(559\) | −4.70192 | −0.198870 | ||||||||
\(560\) | 1.53125 | 0.0647073 | ||||||||
\(561\) | 3.53267 | 0.149150 | ||||||||
\(562\) | −14.8183 | −0.625072 | ||||||||
\(563\) | 11.7753 | 0.496271 | 0.248135 | − | 0.968725i | \(-0.420182\pi\) | ||||
0.248135 | + | 0.968725i | \(0.420182\pi\) | |||||||
\(564\) | −3.43469 | −0.144627 | ||||||||
\(565\) | −20.8087 | −0.875427 | ||||||||
\(566\) | 16.1605 | 0.679275 | ||||||||
\(567\) | −13.7260 | −0.576438 | ||||||||
\(568\) | 10.9195 | 0.458173 | ||||||||
\(569\) | −8.94237 | −0.374884 | −0.187442 | − | 0.982276i | \(-0.560020\pi\) | ||||
−0.187442 | + | 0.982276i | \(0.560020\pi\) | |||||||
\(570\) | 5.67424 | 0.237668 | ||||||||
\(571\) | 35.7012 | 1.49405 | 0.747025 | − | 0.664796i | \(-0.231482\pi\) | ||||
0.747025 | + | 0.664796i | \(0.231482\pi\) | |||||||
\(572\) | 0.432778 | 0.0180953 | ||||||||
\(573\) | 24.3942 | 1.01908 | ||||||||
\(574\) | −12.7492 | −0.532142 | ||||||||
\(575\) | −7.59249 | −0.316629 | ||||||||
\(576\) | 3.01199 | 0.125499 | ||||||||
\(577\) | 24.9421 | 1.03835 | 0.519176 | − | 0.854668i | \(-0.326239\pi\) | ||||
0.519176 | + | 0.854668i | \(0.326239\pi\) | |||||||
\(578\) | −3.76536 | −0.156618 | ||||||||
\(579\) | −63.6714 | −2.64609 | ||||||||
\(580\) | −0.633968 | −0.0263241 | ||||||||
\(581\) | 7.94308 | 0.329534 | ||||||||
\(582\) | 7.38027 | 0.305922 | ||||||||
\(583\) | 1.20956 | 0.0500947 | ||||||||
\(584\) | −9.16888 | −0.379411 | ||||||||
\(585\) | −3.29139 | −0.136082 | ||||||||
\(586\) | −23.7155 | −0.979680 | ||||||||
\(587\) | −17.1312 | −0.707081 | −0.353541 | − | 0.935419i | \(-0.615022\pi\) | ||||
−0.353541 | + | 0.935419i | \(0.615022\pi\) | |||||||
\(588\) | 11.4144 | 0.470722 | ||||||||
\(589\) | 3.51546 | 0.144852 | ||||||||
\(590\) | −3.82943 | −0.157655 | ||||||||
\(591\) | −57.3760 | −2.36014 | ||||||||
\(592\) | −9.28972 | −0.381805 | ||||||||
\(593\) | 12.8189 | 0.526407 | 0.263204 | − | 0.964740i | \(-0.415221\pi\) | ||||
0.263204 | + | 0.964740i | \(0.415221\pi\) | |||||||
\(594\) | 0.0116388 | 0.000477546 0 | ||||||||
\(595\) | 5.57062 | 0.228373 | ||||||||
\(596\) | 1.03273 | 0.0423023 | ||||||||
\(597\) | 14.3673 | 0.588014 | ||||||||
\(598\) | 8.29681 | 0.339282 | ||||||||
\(599\) | 32.3387 | 1.32132 | 0.660662 | − | 0.750684i | \(-0.270276\pi\) | ||||
0.660662 | + | 0.750684i | \(0.270276\pi\) | |||||||
\(600\) | −2.45194 | −0.100100 | ||||||||
\(601\) | −1.00000 | −0.0407909 | ||||||||
\(602\) | 6.58864 | 0.268533 | ||||||||
\(603\) | 2.29288 | 0.0933732 | ||||||||
\(604\) | −4.34453 | −0.176777 | ||||||||
\(605\) | −10.8432 | −0.440837 | ||||||||
\(606\) | −1.30519 | −0.0530195 | ||||||||
\(607\) | 20.5926 | 0.835829 | 0.417914 | − | 0.908486i | \(-0.362761\pi\) | ||||
0.417914 | + | 0.908486i | \(0.362761\pi\) | |||||||
\(608\) | −2.31419 | −0.0938527 | ||||||||
\(609\) | 2.38025 | 0.0964527 | ||||||||
\(610\) | −1.88634 | −0.0763756 | ||||||||
\(611\) | −1.53075 | −0.0619276 | ||||||||
\(612\) | 10.9574 | 0.442928 | ||||||||
\(613\) | −7.15441 | −0.288964 | −0.144482 | − | 0.989507i | \(-0.546152\pi\) | ||||
−0.144482 | + | 0.989507i | \(0.546152\pi\) | |||||||
\(614\) | 8.00442 | 0.323032 | ||||||||
\(615\) | 20.4148 | 0.823205 | ||||||||
\(616\) | −0.606437 | −0.0244340 | ||||||||
\(617\) | 24.3727 | 0.981208 | 0.490604 | − | 0.871383i | \(-0.336776\pi\) | ||||
0.490604 | + | 0.871383i | \(0.336776\pi\) | |||||||
\(618\) | −14.9316 | −0.600637 | ||||||||
\(619\) | 4.67772 | 0.188014 | 0.0940068 | − | 0.995572i | \(-0.470032\pi\) | ||||
0.0940068 | + | 0.995572i | \(0.470032\pi\) | |||||||
\(620\) | −1.51909 | −0.0610081 | ||||||||
\(621\) | 0.223128 | 0.00895383 | ||||||||
\(622\) | −0.0537748 | −0.00215617 | ||||||||
\(623\) | 6.92839 | 0.277580 | ||||||||
\(624\) | 2.67939 | 0.107261 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −1.40462 | −0.0561401 | ||||||||
\(627\) | −2.24722 | −0.0897454 | ||||||||
\(628\) | 5.37740 | 0.214582 | ||||||||
\(629\) | −33.7955 | −1.34751 | ||||||||
\(630\) | 4.61211 | 0.183751 | ||||||||
\(631\) | 0.155312 | 0.00618288 | 0.00309144 | − | 0.999995i | \(-0.499016\pi\) | ||||
0.00309144 | + | 0.999995i | \(0.499016\pi\) | |||||||
\(632\) | 12.0604 | 0.479735 | ||||||||
\(633\) | 45.1374 | 1.79405 | ||||||||
\(634\) | 22.2009 | 0.881711 | ||||||||
\(635\) | −9.69057 | −0.384559 | ||||||||
\(636\) | 7.48852 | 0.296939 | ||||||||
\(637\) | 5.08711 | 0.201558 | ||||||||
\(638\) | 0.251076 | 0.00994020 | ||||||||
\(639\) | 32.8895 | 1.30109 | ||||||||
\(640\) | 1.00000 | 0.0395285 | ||||||||
\(641\) | 48.8605 | 1.92988 | 0.964938 | − | 0.262479i | \(-0.0845400\pi\) | ||||
0.964938 | + | 0.262479i | \(0.0845400\pi\) | |||||||
\(642\) | −33.3888 | −1.31775 | ||||||||
\(643\) | 1.16722 | 0.0460305 | 0.0230153 | − | 0.999735i | \(-0.492673\pi\) | ||||
0.0230153 | + | 0.999735i | \(0.492673\pi\) | |||||||
\(644\) | −11.6260 | −0.458130 | ||||||||
\(645\) | −10.5501 | −0.415411 | ||||||||
\(646\) | −8.41889 | −0.331237 | ||||||||
\(647\) | 24.0041 | 0.943699 | 0.471849 | − | 0.881679i | \(-0.343587\pi\) | ||||
0.471849 | + | 0.881679i | \(0.343587\pi\) | |||||||
\(648\) | −8.96390 | −0.352135 | ||||||||
\(649\) | 1.51661 | 0.0595320 | ||||||||
\(650\) | −1.09276 | −0.0428617 | ||||||||
\(651\) | 5.70348 | 0.223537 | ||||||||
\(652\) | 14.9767 | 0.586531 | ||||||||
\(653\) | 13.4784 | 0.527450 | 0.263725 | − | 0.964598i | \(-0.415049\pi\) | ||||
0.263725 | + | 0.964598i | \(0.415049\pi\) | |||||||
\(654\) | 24.0499 | 0.940424 | ||||||||
\(655\) | −21.5290 | −0.841206 | ||||||||
\(656\) | −8.32601 | −0.325076 | ||||||||
\(657\) | −27.6165 | −1.07742 | ||||||||
\(658\) | 2.14499 | 0.0836205 | ||||||||
\(659\) | 1.40035 | 0.0545499 | 0.0272750 | − | 0.999628i | \(-0.491317\pi\) | ||||
0.0272750 | + | 0.999628i | \(0.491317\pi\) | |||||||
\(660\) | 0.971063 | 0.0377986 | ||||||||
\(661\) | 21.4629 | 0.834811 | 0.417406 | − | 0.908720i | \(-0.362939\pi\) | ||||
0.417406 | + | 0.908720i | \(0.362939\pi\) | |||||||
\(662\) | −9.64406 | −0.374827 | ||||||||
\(663\) | 9.74746 | 0.378560 | ||||||||
\(664\) | 5.18730 | 0.201306 | ||||||||
\(665\) | −3.54361 | −0.137415 | ||||||||
\(666\) | −27.9805 | −1.08422 | ||||||||
\(667\) | 4.81340 | 0.186375 | ||||||||
\(668\) | −2.41704 | −0.0935183 | ||||||||
\(669\) | 50.5381 | 1.95391 | ||||||||
\(670\) | 0.761251 | 0.0294097 | ||||||||
\(671\) | 0.747064 | 0.0288401 | ||||||||
\(672\) | −3.75453 | −0.144834 | ||||||||
\(673\) | 37.2551 | 1.43608 | 0.718038 | − | 0.696004i | \(-0.245040\pi\) | ||||
0.718038 | + | 0.696004i | \(0.245040\pi\) | |||||||
\(674\) | 21.3371 | 0.821874 | ||||||||
\(675\) | −0.0293880 | −0.00113114 | ||||||||
\(676\) | −11.8059 | −0.454072 | ||||||||
\(677\) | −36.9326 | −1.41943 | −0.709717 | − | 0.704487i | \(-0.751177\pi\) | ||||
−0.709717 | + | 0.704487i | \(0.751177\pi\) | |||||||
\(678\) | 51.0215 | 1.95947 | ||||||||
\(679\) | −4.60904 | −0.176879 | ||||||||
\(680\) | 3.63794 | 0.139509 | ||||||||
\(681\) | −3.63454 | −0.139276 | ||||||||
\(682\) | 0.601620 | 0.0230372 | ||||||||
\(683\) | 50.0879 | 1.91656 | 0.958280 | − | 0.285830i | \(-0.0922692\pi\) | ||||
0.958280 | + | 0.285830i | \(0.0922692\pi\) | |||||||
\(684\) | −6.97030 | −0.266516 | ||||||||
\(685\) | −12.2619 | −0.468502 | ||||||||
\(686\) | −17.8472 | −0.681408 | ||||||||
\(687\) | −41.3335 | −1.57697 | ||||||||
\(688\) | 4.30278 | 0.164042 | ||||||||
\(689\) | 3.33744 | 0.127146 | ||||||||
\(690\) | 18.6163 | 0.708710 | ||||||||
\(691\) | −42.7100 | −1.62477 | −0.812383 | − | 0.583124i | \(-0.801830\pi\) | ||||
−0.812383 | + | 0.583124i | \(0.801830\pi\) | |||||||
\(692\) | −11.4142 | −0.433904 | ||||||||
\(693\) | −1.82658 | −0.0693860 | ||||||||
\(694\) | −8.03328 | −0.304939 | ||||||||
\(695\) | 6.79180 | 0.257628 | ||||||||
\(696\) | 1.55445 | 0.0589212 | ||||||||
\(697\) | −30.2896 | −1.14730 | ||||||||
\(698\) | −29.8503 | −1.12985 | ||||||||
\(699\) | −23.5522 | −0.890827 | ||||||||
\(700\) | 1.53125 | 0.0578759 | ||||||||
\(701\) | 20.5609 | 0.776573 | 0.388287 | − | 0.921539i | \(-0.373067\pi\) | ||||
0.388287 | + | 0.921539i | \(0.373067\pi\) | |||||||
\(702\) | 0.0321142 | 0.00121207 | ||||||||
\(703\) | 21.4981 | 0.810818 | ||||||||
\(704\) | −0.396039 | −0.0149263 | ||||||||
\(705\) | −3.43469 | −0.129358 | ||||||||
\(706\) | −17.5750 | −0.661443 | ||||||||
\(707\) | 0.815099 | 0.0306549 | ||||||||
\(708\) | 9.38952 | 0.352880 | ||||||||
\(709\) | 23.4133 | 0.879305 | 0.439653 | − | 0.898168i | \(-0.355102\pi\) | ||||
0.439653 | + | 0.898168i | \(0.355102\pi\) | |||||||
\(710\) | 10.9195 | 0.409803 | ||||||||
\(711\) | 36.3256 | 1.36232 | ||||||||
\(712\) | 4.52465 | 0.169568 | ||||||||
\(713\) | 11.5337 | 0.431940 | ||||||||
\(714\) | −13.6588 | −0.511167 | ||||||||
\(715\) | 0.432778 | 0.0161850 | ||||||||
\(716\) | −1.20874 | −0.0451729 | ||||||||
\(717\) | −40.5434 | −1.51412 | ||||||||
\(718\) | −0.327073 | −0.0122063 | ||||||||
\(719\) | 0.106141 | 0.00395838 | 0.00197919 | − | 0.999998i | \(-0.499370\pi\) | ||||
0.00197919 | + | 0.999998i | \(0.499370\pi\) | |||||||
\(720\) | 3.01199 | 0.112250 | ||||||||
\(721\) | 9.32490 | 0.347277 | ||||||||
\(722\) | −13.6445 | −0.507797 | ||||||||
\(723\) | 30.8776 | 1.14835 | ||||||||
\(724\) | 14.9579 | 0.555908 | ||||||||
\(725\) | −0.633968 | −0.0235450 | ||||||||
\(726\) | 26.5867 | 0.986725 | ||||||||
\(727\) | −24.5064 | −0.908891 | −0.454446 | − | 0.890774i | \(-0.650163\pi\) | ||||
−0.454446 | + | 0.890774i | \(0.650163\pi\) | |||||||
\(728\) | −1.67330 | −0.0620166 | ||||||||
\(729\) | −27.2153 | −1.00797 | ||||||||
\(730\) | −9.16888 | −0.339356 | ||||||||
\(731\) | 15.6533 | 0.578957 | ||||||||
\(732\) | 4.62518 | 0.170951 | ||||||||
\(733\) | 21.9169 | 0.809517 | 0.404759 | − | 0.914424i | \(-0.367356\pi\) | ||||
0.404759 | + | 0.914424i | \(0.367356\pi\) | |||||||
\(734\) | 2.12995 | 0.0786180 | ||||||||
\(735\) | 11.4144 | 0.421027 | ||||||||
\(736\) | −7.59249 | −0.279863 | ||||||||
\(737\) | −0.301486 | −0.0111054 | ||||||||
\(738\) | −25.0778 | −0.923127 | ||||||||
\(739\) | 0.152216 | 0.00559937 | 0.00279968 | − | 0.999996i | \(-0.499109\pi\) | ||||
0.00279968 | + | 0.999996i | \(0.499109\pi\) | |||||||
\(740\) | −9.28972 | −0.341497 | ||||||||
\(741\) | −6.20060 | −0.227785 | ||||||||
\(742\) | −4.67664 | −0.171685 | ||||||||
\(743\) | 31.6241 | 1.16018 | 0.580089 | − | 0.814553i | \(-0.303018\pi\) | ||||
0.580089 | + | 0.814553i | \(0.303018\pi\) | |||||||
\(744\) | 3.72471 | 0.136555 | ||||||||
\(745\) | 1.03273 | 0.0378364 | ||||||||
\(746\) | 14.4437 | 0.528821 | ||||||||
\(747\) | 15.6241 | 0.571655 | ||||||||
\(748\) | −1.44077 | −0.0526798 | ||||||||
\(749\) | 20.8516 | 0.761901 | ||||||||
\(750\) | −2.45194 | −0.0895320 | ||||||||
\(751\) | 37.8318 | 1.38050 | 0.690251 | − | 0.723570i | \(-0.257500\pi\) | ||||
0.690251 | + | 0.723570i | \(0.257500\pi\) | |||||||
\(752\) | 1.40081 | 0.0510822 | ||||||||
\(753\) | 40.7408 | 1.48468 | ||||||||
\(754\) | 0.692777 | 0.0252295 | ||||||||
\(755\) | −4.34453 | −0.158114 | ||||||||
\(756\) | −0.0450005 | −0.00163665 | ||||||||
\(757\) | 44.2639 | 1.60880 | 0.804400 | − | 0.594088i | \(-0.202487\pi\) | ||||
0.804400 | + | 0.594088i | \(0.202487\pi\) | |||||||
\(758\) | −0.670819 | −0.0243652 | ||||||||
\(759\) | −7.37279 | −0.267615 | ||||||||
\(760\) | −2.31419 | −0.0839444 | ||||||||
\(761\) | 9.80467 | 0.355419 | 0.177710 | − | 0.984083i | \(-0.443131\pi\) | ||||
0.177710 | + | 0.984083i | \(0.443131\pi\) | |||||||
\(762\) | 23.7606 | 0.860757 | ||||||||
\(763\) | −15.0193 | −0.543736 | ||||||||
\(764\) | −9.94895 | −0.359940 | ||||||||
\(765\) | 10.9574 | 0.396167 | ||||||||
\(766\) | 16.8074 | 0.607277 | ||||||||
\(767\) | 4.18467 | 0.151100 | ||||||||
\(768\) | −2.45194 | −0.0884766 | ||||||||
\(769\) | −16.5291 | −0.596053 | −0.298027 | − | 0.954558i | \(-0.596328\pi\) | ||||
−0.298027 | + | 0.954558i | \(0.596328\pi\) | |||||||
\(770\) | −0.606437 | −0.0218545 | ||||||||
\(771\) | 22.5381 | 0.811690 | ||||||||
\(772\) | 25.9678 | 0.934602 | ||||||||
\(773\) | −5.81158 | −0.209028 | −0.104514 | − | 0.994523i | \(-0.533329\pi\) | ||||
−0.104514 | + | 0.994523i | \(0.533329\pi\) | |||||||
\(774\) | 12.9599 | 0.465834 | ||||||||
\(775\) | −1.51909 | −0.0545673 | ||||||||
\(776\) | −3.00998 | −0.108052 | ||||||||
\(777\) | 34.8785 | 1.25126 | ||||||||
\(778\) | −12.7529 | −0.457214 | ||||||||
\(779\) | 19.2679 | 0.690346 | ||||||||
\(780\) | 2.67939 | 0.0959375 | ||||||||
\(781\) | −4.32457 | −0.154745 | ||||||||
\(782\) | −27.6211 | −0.987728 | ||||||||
\(783\) | 0.0186310 | 0.000665819 0 | ||||||||
\(784\) | −4.65526 | −0.166259 | ||||||||
\(785\) | 5.37740 | 0.191928 | ||||||||
\(786\) | 52.7876 | 1.88287 | ||||||||
\(787\) | 9.72019 | 0.346487 | 0.173244 | − | 0.984879i | \(-0.444575\pi\) | ||||
0.173244 | + | 0.984879i | \(0.444575\pi\) | |||||||
\(788\) | 23.4003 | 0.833602 | ||||||||
\(789\) | 6.12353 | 0.218004 | ||||||||
\(790\) | 12.0604 | 0.429088 | ||||||||
\(791\) | −31.8634 | −1.13293 | ||||||||
\(792\) | −1.19287 | −0.0423866 | ||||||||
\(793\) | 2.06132 | 0.0731997 | ||||||||
\(794\) | −25.8713 | −0.918140 | ||||||||
\(795\) | 7.48852 | 0.265591 | ||||||||
\(796\) | −5.85957 | −0.207687 | ||||||||
\(797\) | −24.3351 | −0.861992 | −0.430996 | − | 0.902354i | \(-0.641838\pi\) | ||||
−0.430996 | + | 0.902354i | \(0.641838\pi\) | |||||||
\(798\) | 8.68870 | 0.307576 | ||||||||
\(799\) | 5.09606 | 0.180286 | ||||||||
\(800\) | 1.00000 | 0.0353553 | ||||||||
\(801\) | 13.6282 | 0.481528 | ||||||||
\(802\) | −28.6031 | −1.01001 | ||||||||
\(803\) | 3.63124 | 0.128144 | ||||||||
\(804\) | −1.86654 | −0.0658278 | ||||||||
\(805\) | −11.6260 | −0.409764 | ||||||||
\(806\) | 1.66001 | 0.0584713 | ||||||||
\(807\) | 9.53192 | 0.335539 | ||||||||
\(808\) | 0.532308 | 0.0187265 | ||||||||
\(809\) | −31.9916 | −1.12477 | −0.562383 | − | 0.826877i | \(-0.690115\pi\) | ||||
−0.562383 | + | 0.826877i | \(0.690115\pi\) | |||||||
\(810\) | −8.96390 | −0.314959 | ||||||||
\(811\) | 41.0016 | 1.43976 | 0.719881 | − | 0.694098i | \(-0.244197\pi\) | ||||
0.719881 | + | 0.694098i | \(0.244197\pi\) | |||||||
\(812\) | −0.970765 | −0.0340672 | ||||||||
\(813\) | 74.0958 | 2.59865 | ||||||||
\(814\) | 3.67909 | 0.128952 | ||||||||
\(815\) | 14.9767 | 0.524609 | ||||||||
\(816\) | −8.92000 | −0.312263 | ||||||||
\(817\) | −9.95743 | −0.348366 | ||||||||
\(818\) | 14.6563 | 0.512444 | ||||||||
\(819\) | −5.03995 | −0.176110 | ||||||||
\(820\) | −8.32601 | −0.290757 | ||||||||
\(821\) | 3.01881 | 0.105357 | 0.0526786 | − | 0.998612i | \(-0.483224\pi\) | ||||
0.0526786 | + | 0.998612i | \(0.483224\pi\) | |||||||
\(822\) | 30.0653 | 1.04865 | ||||||||
\(823\) | 22.0814 | 0.769711 | 0.384855 | − | 0.922977i | \(-0.374251\pi\) | ||||
0.384855 | + | 0.922977i | \(0.374251\pi\) | |||||||
\(824\) | 6.08972 | 0.212145 | ||||||||
\(825\) | 0.971063 | 0.0338081 | ||||||||
\(826\) | −5.86383 | −0.204029 | ||||||||
\(827\) | 4.29652 | 0.149405 | 0.0747024 | − | 0.997206i | \(-0.476199\pi\) | ||||
0.0747024 | + | 0.997206i | \(0.476199\pi\) | |||||||
\(828\) | −22.8685 | −0.794735 | ||||||||
\(829\) | −24.2828 | −0.843375 | −0.421688 | − | 0.906741i | \(-0.638562\pi\) | ||||
−0.421688 | + | 0.906741i | \(0.638562\pi\) | |||||||
\(830\) | 5.18730 | 0.180054 | ||||||||
\(831\) | 51.0062 | 1.76939 | ||||||||
\(832\) | −1.09276 | −0.0378848 | ||||||||
\(833\) | −16.9356 | −0.586783 | ||||||||
\(834\) | −16.6530 | −0.576648 | ||||||||
\(835\) | −2.41704 | −0.0836453 | ||||||||
\(836\) | 0.916510 | 0.0316981 | ||||||||
\(837\) | 0.0446430 | 0.00154309 | ||||||||
\(838\) | −17.9226 | −0.619127 | ||||||||
\(839\) | 15.3535 | 0.530062 | 0.265031 | − | 0.964240i | \(-0.414618\pi\) | ||||
0.265031 | + | 0.964240i | \(0.414618\pi\) | |||||||
\(840\) | −3.75453 | −0.129544 | ||||||||
\(841\) | −28.5981 | −0.986141 | ||||||||
\(842\) | −22.5700 | −0.777813 | ||||||||
\(843\) | 36.3335 | 1.25139 | ||||||||
\(844\) | −18.4089 | −0.633660 | ||||||||
\(845\) | −11.8059 | −0.406134 | ||||||||
\(846\) | 4.21921 | 0.145060 | ||||||||
\(847\) | −16.6036 | −0.570507 | ||||||||
\(848\) | −3.05413 | −0.104879 | ||||||||
\(849\) | −39.6244 | −1.35991 | ||||||||
\(850\) | 3.63794 | 0.124780 | ||||||||
\(851\) | 70.5321 | 2.41781 | ||||||||
\(852\) | −26.7740 | −0.917261 | ||||||||
\(853\) | 56.1846 | 1.92372 | 0.961861 | − | 0.273537i | \(-0.0881937\pi\) | ||||
0.961861 | + | 0.273537i | \(0.0881937\pi\) | |||||||
\(854\) | −2.88846 | −0.0988411 | ||||||||
\(855\) | −6.97030 | −0.238379 | ||||||||
\(856\) | 13.6173 | 0.465431 | ||||||||
\(857\) | −0.0467261 | −0.00159613 | −0.000798066 | − | 1.00000i | \(-0.500254\pi\) | ||||
−0.000798066 | 1.00000i | \(0.500254\pi\) | ||||||||
\(858\) | −1.06114 | −0.0362268 | ||||||||
\(859\) | 22.7705 | 0.776918 | 0.388459 | − | 0.921466i | \(-0.373008\pi\) | ||||
0.388459 | + | 0.921466i | \(0.373008\pi\) | |||||||
\(860\) | 4.30278 | 0.146723 | ||||||||
\(861\) | 31.2603 | 1.06535 | ||||||||
\(862\) | −32.5987 | −1.11032 | ||||||||
\(863\) | −7.02499 | −0.239134 | −0.119567 | − | 0.992826i | \(-0.538151\pi\) | ||||
−0.119567 | + | 0.992826i | \(0.538151\pi\) | |||||||
\(864\) | −0.0293880 | −0.000999800 0 | ||||||||
\(865\) | −11.4142 | −0.388095 | ||||||||
\(866\) | 15.0639 | 0.511894 | ||||||||
\(867\) | 9.23241 | 0.313549 | ||||||||
\(868\) | −2.32611 | −0.0789534 | ||||||||
\(869\) | −4.77638 | −0.162027 | ||||||||
\(870\) | 1.55445 | 0.0527007 | ||||||||
\(871\) | −0.831868 | −0.0281868 | ||||||||
\(872\) | −9.80852 | −0.332158 | ||||||||
\(873\) | −9.06601 | −0.306838 | ||||||||
\(874\) | 17.5705 | 0.594329 | ||||||||
\(875\) | 1.53125 | 0.0517658 | ||||||||
\(876\) | 22.4815 | 0.759580 | ||||||||
\(877\) | 18.7288 | 0.632427 | 0.316214 | − | 0.948688i | \(-0.397588\pi\) | ||||
0.316214 | + | 0.948688i | \(0.397588\pi\) | |||||||
\(878\) | −14.3218 | −0.483337 | ||||||||
\(879\) | 58.1490 | 1.96132 | ||||||||
\(880\) | −0.396039 | −0.0133505 | ||||||||
\(881\) | 14.8962 | 0.501867 | 0.250933 | − | 0.968004i | \(-0.419263\pi\) | ||||
0.250933 | + | 0.968004i | \(0.419263\pi\) | |||||||
\(882\) | −14.0216 | −0.472131 | ||||||||
\(883\) | 4.82170 | 0.162263 | 0.0811316 | − | 0.996703i | \(-0.474147\pi\) | ||||
0.0811316 | + | 0.996703i | \(0.474147\pi\) | |||||||
\(884\) | −3.97542 | −0.133708 | ||||||||
\(885\) | 9.38952 | 0.315625 | ||||||||
\(886\) | −27.0727 | −0.909525 | ||||||||
\(887\) | −47.6008 | −1.59828 | −0.799140 | − | 0.601145i | \(-0.794711\pi\) | ||||
−0.799140 | + | 0.601145i | \(0.794711\pi\) | |||||||
\(888\) | 22.7778 | 0.764372 | ||||||||
\(889\) | −14.8387 | −0.497675 | ||||||||
\(890\) | 4.52465 | 0.151667 | ||||||||
\(891\) | 3.55006 | 0.118931 | ||||||||
\(892\) | −20.6115 | −0.690124 | ||||||||
\(893\) | −3.24173 | −0.108480 | ||||||||
\(894\) | −2.53219 | −0.0846891 | ||||||||
\(895\) | −1.20874 | −0.0404039 | ||||||||
\(896\) | 1.53125 | 0.0511556 | ||||||||
\(897\) | −20.3432 | −0.679241 | ||||||||
\(898\) | −15.6995 | −0.523900 | ||||||||
\(899\) | 0.963054 | 0.0321197 | ||||||||
\(900\) | 3.01199 | 0.100400 | ||||||||
\(901\) | −11.1107 | −0.370153 | ||||||||
\(902\) | 3.29743 | 0.109792 | ||||||||
\(903\) | −16.1549 | −0.537602 | ||||||||
\(904\) | −20.8087 | −0.692086 | ||||||||
\(905\) | 14.9579 | 0.497219 | ||||||||
\(906\) | 10.6525 | 0.353906 | ||||||||
\(907\) | −3.99060 | −0.132506 | −0.0662529 | − | 0.997803i | \(-0.521104\pi\) | ||||
−0.0662529 | + | 0.997803i | \(0.521104\pi\) | |||||||
\(908\) | 1.48231 | 0.0491923 | ||||||||
\(909\) | 1.60330 | 0.0531783 | ||||||||
\(910\) | −1.67330 | −0.0554693 | ||||||||
\(911\) | −42.2628 | −1.40023 | −0.700114 | − | 0.714031i | \(-0.746867\pi\) | ||||
−0.700114 | + | 0.714031i | \(0.746867\pi\) | |||||||
\(912\) | 5.67424 | 0.187893 | ||||||||
\(913\) | −2.05438 | −0.0679900 | ||||||||
\(914\) | −12.6625 | −0.418837 | ||||||||
\(915\) | 4.62518 | 0.152904 | ||||||||
\(916\) | 16.8575 | 0.556987 | ||||||||
\(917\) | −32.9663 | −1.08864 | ||||||||
\(918\) | −0.106912 | −0.00352862 | ||||||||
\(919\) | 14.7126 | 0.485323 | 0.242662 | − | 0.970111i | \(-0.421980\pi\) | ||||
0.242662 | + | 0.970111i | \(0.421980\pi\) | |||||||
\(920\) | −7.59249 | −0.250317 | ||||||||
\(921\) | −19.6263 | −0.646709 | ||||||||
\(922\) | −4.40611 | −0.145108 | ||||||||
\(923\) | −11.9325 | −0.392762 | ||||||||
\(924\) | 1.48694 | 0.0489169 | ||||||||
\(925\) | −9.28972 | −0.305444 | ||||||||
\(926\) | −0.442044 | −0.0145265 | ||||||||
\(927\) | 18.3421 | 0.602435 | ||||||||
\(928\) | −0.633968 | −0.0208110 | ||||||||
\(929\) | −38.6413 | −1.26778 | −0.633890 | − | 0.773423i | \(-0.718543\pi\) | ||||
−0.633890 | + | 0.773423i | \(0.718543\pi\) | |||||||
\(930\) | 3.72471 | 0.122138 | ||||||||
\(931\) | 10.7732 | 0.353076 | ||||||||
\(932\) | 9.60557 | 0.314641 | ||||||||
\(933\) | 0.131852 | 0.00431665 | ||||||||
\(934\) | 9.22001 | 0.301688 | ||||||||
\(935\) | −1.44077 | −0.0471182 | ||||||||
\(936\) | −3.29139 | −0.107582 | ||||||||
\(937\) | 15.2972 | 0.499739 | 0.249870 | − | 0.968279i | \(-0.419612\pi\) | ||||
0.249870 | + | 0.968279i | \(0.419612\pi\) | |||||||
\(938\) | 1.16567 | 0.0380604 | ||||||||
\(939\) | 3.44405 | 0.112392 | ||||||||
\(940\) | 1.40081 | 0.0456893 | ||||||||
\(941\) | 10.9774 | 0.357855 | 0.178927 | − | 0.983862i | \(-0.442737\pi\) | ||||
0.178927 | + | 0.983862i | \(0.442737\pi\) | |||||||
\(942\) | −13.1850 | −0.429592 | ||||||||
\(943\) | 63.2152 | 2.05857 | ||||||||
\(944\) | −3.82943 | −0.124637 | ||||||||
\(945\) | −0.0450005 | −0.00146387 | ||||||||
\(946\) | −1.70407 | −0.0554041 | ||||||||
\(947\) | −8.54937 | −0.277817 | −0.138909 | − | 0.990305i | \(-0.544359\pi\) | ||||
−0.138909 | + | 0.990305i | \(0.544359\pi\) | |||||||
\(948\) | −29.5712 | −0.960428 | ||||||||
\(949\) | 10.0194 | 0.325244 | ||||||||
\(950\) | −2.31419 | −0.0750822 | ||||||||
\(951\) | −54.4352 | −1.76518 | ||||||||
\(952\) | 5.57062 | 0.180545 | ||||||||
\(953\) | −38.3295 | −1.24161 | −0.620806 | − | 0.783964i | \(-0.713195\pi\) | ||||
−0.620806 | + | 0.783964i | \(0.713195\pi\) | |||||||
\(954\) | −9.19899 | −0.297828 | ||||||||
\(955\) | −9.94895 | −0.321941 | ||||||||
\(956\) | 16.5353 | 0.534789 | ||||||||
\(957\) | −0.615623 | −0.0199003 | ||||||||
\(958\) | −37.4477 | −1.20988 | ||||||||
\(959\) | −18.7760 | −0.606310 | ||||||||
\(960\) | −2.45194 | −0.0791359 | ||||||||
\(961\) | −28.6924 | −0.925560 | ||||||||
\(962\) | 10.1515 | 0.327297 | ||||||||
\(963\) | 41.0152 | 1.32170 | ||||||||
\(964\) | −12.5932 | −0.405599 | ||||||||
\(965\) | 25.9678 | 0.835934 | ||||||||
\(966\) | 28.5063 | 0.917174 | ||||||||
\(967\) | 58.2218 | 1.87229 | 0.936144 | − | 0.351618i | \(-0.114368\pi\) | ||||
0.936144 | + | 0.351618i | \(0.114368\pi\) | |||||||
\(968\) | −10.8432 | −0.348512 | ||||||||
\(969\) | 20.6426 | 0.663135 | ||||||||
\(970\) | −3.00998 | −0.0966446 | ||||||||
\(971\) | −28.4335 | −0.912473 | −0.456237 | − | 0.889858i | \(-0.650803\pi\) | ||||
−0.456237 | + | 0.889858i | \(0.650803\pi\) | |||||||
\(972\) | 22.0671 | 0.707801 | ||||||||
\(973\) | 10.4000 | 0.333408 | ||||||||
\(974\) | −31.5684 | −1.01152 | ||||||||
\(975\) | 2.67939 | 0.0858091 | ||||||||
\(976\) | −1.88634 | −0.0603802 | ||||||||
\(977\) | 16.0515 | 0.513533 | 0.256766 | − | 0.966473i | \(-0.417343\pi\) | ||||
0.256766 | + | 0.966473i | \(0.417343\pi\) | |||||||
\(978\) | −36.7218 | −1.17423 | ||||||||
\(979\) | −1.79194 | −0.0572707 | ||||||||
\(980\) | −4.65526 | −0.148707 | ||||||||
\(981\) | −29.5431 | −0.943239 | ||||||||
\(982\) | 33.9877 | 1.08459 | ||||||||
\(983\) | −41.7868 | −1.33279 | −0.666396 | − | 0.745598i | \(-0.732164\pi\) | ||||
−0.666396 | + | 0.745598i | \(0.732164\pi\) | |||||||
\(984\) | 20.4148 | 0.650801 | ||||||||
\(985\) | 23.4003 | 0.745596 | ||||||||
\(986\) | −2.30634 | −0.0734488 | ||||||||
\(987\) | −5.25938 | −0.167408 | ||||||||
\(988\) | 2.52886 | 0.0804538 | ||||||||
\(989\) | −32.6688 | −1.03881 | ||||||||
\(990\) | −1.19287 | −0.0379117 | ||||||||
\(991\) | −7.71703 | −0.245140 | −0.122570 | − | 0.992460i | \(-0.539114\pi\) | ||||
−0.122570 | + | 0.992460i | \(0.539114\pi\) | |||||||
\(992\) | −1.51909 | −0.0482312 | ||||||||
\(993\) | 23.6466 | 0.750403 | ||||||||
\(994\) | 16.7206 | 0.530344 | ||||||||
\(995\) | −5.85957 | −0.185761 | ||||||||
\(996\) | −12.7189 | −0.403015 | ||||||||
\(997\) | 12.5044 | 0.396020 | 0.198010 | − | 0.980200i | \(-0.436552\pi\) | ||||
0.198010 | + | 0.980200i | \(0.436552\pi\) | |||||||
\(998\) | 21.0596 | 0.666629 | ||||||||
\(999\) | 0.273006 | 0.00863753 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))