Newspace parameters
Level: | \( N \) | = | \( 4003 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 4003.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(31.9641159291\) |
Analytic rank: | \(1\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{8})^+\) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(1.41421\) | ||
Character | \(\chi\) | = | 4003.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41421 | 1.00000 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(3\) | 1.41421 | 0.816497 | 0.408248 | − | 0.912871i | \(-0.366140\pi\) | ||||
0.408248 | + | 0.912871i | \(0.366140\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.41421 | 0.632456 | 0.316228 | − | 0.948683i | \(-0.397584\pi\) | ||||
0.316228 | + | 0.948683i | \(0.397584\pi\) | |||||||
\(6\) | 2.00000 | 0.816497 | ||||||||
\(7\) | −1.00000 | −0.377964 | −0.188982 | − | 0.981981i | \(-0.560519\pi\) | ||||
−0.188982 | + | 0.981981i | \(0.560519\pi\) | |||||||
\(8\) | −2.82843 | −1.00000 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.00000 | 0.632456 | ||||||||
\(11\) | −4.82843 | −1.45583 | −0.727913 | − | 0.685670i | \(-0.759509\pi\) | ||||
−0.727913 | + | 0.685670i | \(0.759509\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.82843 | 1.89386 | 0.946932 | − | 0.321433i | \(-0.104164\pi\) | ||||
0.946932 | + | 0.321433i | \(0.104164\pi\) | |||||||
\(14\) | −1.41421 | −0.377964 | ||||||||
\(15\) | 2.00000 | 0.516398 | ||||||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | −6.65685 | −1.61452 | −0.807262 | − | 0.590193i | \(-0.799052\pi\) | ||||
−0.807262 | + | 0.590193i | \(0.799052\pi\) | |||||||
\(18\) | −1.41421 | −0.333333 | ||||||||
\(19\) | 6.65685 | 1.52719 | 0.763594 | − | 0.645697i | \(-0.223433\pi\) | ||||
0.763594 | + | 0.645697i | \(0.223433\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.41421 | −0.308607 | ||||||||
\(22\) | −6.82843 | −1.45583 | ||||||||
\(23\) | −3.17157 | −0.661319 | −0.330659 | − | 0.943750i | \(-0.607271\pi\) | ||||
−0.330659 | + | 0.943750i | \(0.607271\pi\) | |||||||
\(24\) | −4.00000 | −0.816497 | ||||||||
\(25\) | −3.00000 | −0.600000 | ||||||||
\(26\) | 9.65685 | 1.89386 | ||||||||
\(27\) | −5.65685 | −1.08866 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.82843 | −1.26801 | −0.634004 | − | 0.773330i | \(-0.718590\pi\) | ||||
−0.634004 | + | 0.773330i | \(0.718590\pi\) | |||||||
\(30\) | 2.82843 | 0.516398 | ||||||||
\(31\) | −6.48528 | −1.16479 | −0.582395 | − | 0.812906i | \(-0.697884\pi\) | ||||
−0.582395 | + | 0.812906i | \(0.697884\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.82843 | −1.18868 | ||||||||
\(34\) | −9.41421 | −1.61452 | ||||||||
\(35\) | −1.41421 | −0.239046 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −9.82843 | −1.61578 | −0.807892 | − | 0.589331i | \(-0.799391\pi\) | ||||
−0.807892 | + | 0.589331i | \(0.799391\pi\) | |||||||
\(38\) | 9.41421 | 1.52719 | ||||||||
\(39\) | 9.65685 | 1.54633 | ||||||||
\(40\) | −4.00000 | −0.632456 | ||||||||
\(41\) | 10.8284 | 1.69112 | 0.845558 | − | 0.533883i | \(-0.179268\pi\) | ||||
0.845558 | + | 0.533883i | \(0.179268\pi\) | |||||||
\(42\) | −2.00000 | −0.308607 | ||||||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.41421 | −0.210819 | ||||||||
\(46\) | −4.48528 | −0.661319 | ||||||||
\(47\) | 11.0711 | 1.61488 | 0.807441 | − | 0.589949i | \(-0.200852\pi\) | ||||
0.807441 | + | 0.589949i | \(0.200852\pi\) | |||||||
\(48\) | −5.65685 | −0.816497 | ||||||||
\(49\) | −6.00000 | −0.857143 | ||||||||
\(50\) | −4.24264 | −0.600000 | ||||||||
\(51\) | −9.41421 | −1.31825 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −13.3137 | −1.82878 | −0.914389 | − | 0.404836i | \(-0.867329\pi\) | ||||
−0.914389 | + | 0.404836i | \(0.867329\pi\) | |||||||
\(54\) | −8.00000 | −1.08866 | ||||||||
\(55\) | −6.82843 | −0.920745 | ||||||||
\(56\) | 2.82843 | 0.377964 | ||||||||
\(57\) | 9.41421 | 1.24694 | ||||||||
\(58\) | −9.65685 | −1.26801 | ||||||||
\(59\) | −3.17157 | −0.412904 | −0.206452 | − | 0.978457i | \(-0.566192\pi\) | ||||
−0.206452 | + | 0.978457i | \(0.566192\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.8284 | 1.64251 | 0.821256 | − | 0.570560i | \(-0.193274\pi\) | ||||
0.821256 | + | 0.570560i | \(0.193274\pi\) | |||||||
\(62\) | −9.17157 | −1.16479 | ||||||||
\(63\) | 1.00000 | 0.125988 | ||||||||
\(64\) | 8.00000 | 1.00000 | ||||||||
\(65\) | 9.65685 | 1.19779 | ||||||||
\(66\) | −9.65685 | −1.18868 | ||||||||
\(67\) | 1.34315 | 0.164091 | 0.0820457 | − | 0.996629i | \(-0.473855\pi\) | ||||
0.0820457 | + | 0.996629i | \(0.473855\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.48528 | −0.539964 | ||||||||
\(70\) | −2.00000 | −0.239046 | ||||||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | 2.82843 | 0.333333 | ||||||||
\(73\) | −3.00000 | −0.351123 | −0.175562 | − | 0.984468i | \(-0.556174\pi\) | ||||
−0.175562 | + | 0.984468i | \(0.556174\pi\) | |||||||
\(74\) | −13.8995 | −1.61578 | ||||||||
\(75\) | −4.24264 | −0.489898 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.82843 | 0.550250 | ||||||||
\(78\) | 13.6569 | 1.54633 | ||||||||
\(79\) | −5.48528 | −0.617142 | −0.308571 | − | 0.951201i | \(-0.599851\pi\) | ||||
−0.308571 | + | 0.951201i | \(0.599851\pi\) | |||||||
\(80\) | −5.65685 | −0.632456 | ||||||||
\(81\) | −5.00000 | −0.555556 | ||||||||
\(82\) | 15.3137 | 1.69112 | ||||||||
\(83\) | −11.1421 | −1.22301 | −0.611504 | − | 0.791241i | \(-0.709435\pi\) | ||||
−0.611504 | + | 0.791241i | \(0.709435\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.41421 | −1.02111 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.65685 | −1.03532 | ||||||||
\(88\) | 13.6569 | 1.45583 | ||||||||
\(89\) | −6.17157 | −0.654185 | −0.327093 | − | 0.944992i | \(-0.606069\pi\) | ||||
−0.327093 | + | 0.944992i | \(0.606069\pi\) | |||||||
\(90\) | −2.00000 | −0.210819 | ||||||||
\(91\) | −6.82843 | −0.715814 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −9.17157 | −0.951048 | ||||||||
\(94\) | 15.6569 | 1.61488 | ||||||||
\(95\) | 9.41421 | 0.965878 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.2426 | 1.03998 | 0.519991 | − | 0.854172i | \(-0.325935\pi\) | ||||
0.519991 | + | 0.854172i | \(0.325935\pi\) | |||||||
\(98\) | −8.48528 | −0.857143 | ||||||||
\(99\) | 4.82843 | 0.485275 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.17157 | 0.415087 | 0.207544 | − | 0.978226i | \(-0.433453\pi\) | ||||
0.207544 | + | 0.978226i | \(0.433453\pi\) | |||||||
\(102\) | −13.3137 | −1.31825 | ||||||||
\(103\) | 3.48528 | 0.343415 | 0.171707 | − | 0.985148i | \(-0.445072\pi\) | ||||
0.171707 | + | 0.985148i | \(0.445072\pi\) | |||||||
\(104\) | −19.3137 | −1.89386 | ||||||||
\(105\) | −2.00000 | −0.195180 | ||||||||
\(106\) | −18.8284 | −1.82878 | ||||||||
\(107\) | −8.48528 | −0.820303 | −0.410152 | − | 0.912017i | \(-0.634524\pi\) | ||||
−0.410152 | + | 0.912017i | \(0.634524\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.48528 | 0.621177 | 0.310589 | − | 0.950544i | \(-0.399474\pi\) | ||||
0.310589 | + | 0.950544i | \(0.399474\pi\) | |||||||
\(110\) | −9.65685 | −0.920745 | ||||||||
\(111\) | −13.8995 | −1.31928 | ||||||||
\(112\) | 4.00000 | 0.377964 | ||||||||
\(113\) | 0.928932 | 0.0873866 | 0.0436933 | − | 0.999045i | \(-0.486088\pi\) | ||||
0.0436933 | + | 0.999045i | \(0.486088\pi\) | |||||||
\(114\) | 13.3137 | 1.24694 | ||||||||
\(115\) | −4.48528 | −0.418255 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.82843 | −0.631288 | ||||||||
\(118\) | −4.48528 | −0.412904 | ||||||||
\(119\) | 6.65685 | 0.610233 | ||||||||
\(120\) | −5.65685 | −0.516398 | ||||||||
\(121\) | 12.3137 | 1.11943 | ||||||||
\(122\) | 18.1421 | 1.64251 | ||||||||
\(123\) | 15.3137 | 1.38079 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.3137 | −1.01193 | ||||||||
\(126\) | 1.41421 | 0.125988 | ||||||||
\(127\) | −20.7990 | −1.84561 | −0.922806 | − | 0.385265i | \(-0.874110\pi\) | ||||
−0.922806 | + | 0.385265i | \(0.874110\pi\) | |||||||
\(128\) | 11.3137 | 1.00000 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 13.6569 | 1.19779 | ||||||||
\(131\) | 17.4853 | 1.52770 | 0.763848 | − | 0.645396i | \(-0.223308\pi\) | ||||
0.763848 | + | 0.645396i | \(0.223308\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.65685 | −0.577222 | ||||||||
\(134\) | 1.89949 | 0.164091 | ||||||||
\(135\) | −8.00000 | −0.688530 | ||||||||
\(136\) | 18.8284 | 1.61452 | ||||||||
\(137\) | −3.00000 | −0.256307 | −0.128154 | − | 0.991754i | \(-0.540905\pi\) | ||||
−0.128154 | + | 0.991754i | \(0.540905\pi\) | |||||||
\(138\) | −6.34315 | −0.539964 | ||||||||
\(139\) | −15.6569 | −1.32800 | −0.663999 | − | 0.747734i | \(-0.731142\pi\) | ||||
−0.663999 | + | 0.747734i | \(0.731142\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 15.6569 | 1.31854 | ||||||||
\(142\) | 8.48528 | 0.712069 | ||||||||
\(143\) | −32.9706 | −2.75714 | ||||||||
\(144\) | 4.00000 | 0.333333 | ||||||||
\(145\) | −9.65685 | −0.801958 | ||||||||
\(146\) | −4.24264 | −0.351123 | ||||||||
\(147\) | −8.48528 | −0.699854 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −21.1421 | −1.73203 | −0.866016 | − | 0.500017i | \(-0.833327\pi\) | ||||
−0.866016 | + | 0.500017i | \(0.833327\pi\) | |||||||
\(150\) | −6.00000 | −0.489898 | ||||||||
\(151\) | −13.8284 | −1.12534 | −0.562671 | − | 0.826681i | \(-0.690226\pi\) | ||||
−0.562671 | + | 0.826681i | \(0.690226\pi\) | |||||||
\(152\) | −18.8284 | −1.52719 | ||||||||
\(153\) | 6.65685 | 0.538175 | ||||||||
\(154\) | 6.82843 | 0.550250 | ||||||||
\(155\) | −9.17157 | −0.736678 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.31371 | 0.583697 | 0.291849 | − | 0.956464i | \(-0.405730\pi\) | ||||
0.291849 | + | 0.956464i | \(0.405730\pi\) | |||||||
\(158\) | −7.75736 | −0.617142 | ||||||||
\(159\) | −18.8284 | −1.49319 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.17157 | 0.249955 | ||||||||
\(162\) | −7.07107 | −0.555556 | ||||||||
\(163\) | −2.00000 | −0.156652 | −0.0783260 | − | 0.996928i | \(-0.524958\pi\) | ||||
−0.0783260 | + | 0.996928i | \(0.524958\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −9.65685 | −0.751785 | ||||||||
\(166\) | −15.7574 | −1.22301 | ||||||||
\(167\) | −2.10051 | −0.162542 | −0.0812710 | − | 0.996692i | \(-0.525898\pi\) | ||||
−0.0812710 | + | 0.996692i | \(0.525898\pi\) | |||||||
\(168\) | 4.00000 | 0.308607 | ||||||||
\(169\) | 33.6274 | 2.58672 | ||||||||
\(170\) | −13.3137 | −1.02111 | ||||||||
\(171\) | −6.65685 | −0.509062 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.686292 | −0.0521778 | −0.0260889 | − | 0.999660i | \(-0.508305\pi\) | ||||
−0.0260889 | + | 0.999660i | \(0.508305\pi\) | |||||||
\(174\) | −13.6569 | −1.03532 | ||||||||
\(175\) | 3.00000 | 0.226779 | ||||||||
\(176\) | 19.3137 | 1.45583 | ||||||||
\(177\) | −4.48528 | −0.337134 | ||||||||
\(178\) | −8.72792 | −0.654185 | ||||||||
\(179\) | −1.65685 | −0.123839 | −0.0619196 | − | 0.998081i | \(-0.519722\pi\) | ||||
−0.0619196 | + | 0.998081i | \(0.519722\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.3137 | 1.43558 | 0.717788 | − | 0.696261i | \(-0.245155\pi\) | ||||
0.717788 | + | 0.696261i | \(0.245155\pi\) | |||||||
\(182\) | −9.65685 | −0.715814 | ||||||||
\(183\) | 18.1421 | 1.34111 | ||||||||
\(184\) | 8.97056 | 0.661319 | ||||||||
\(185\) | −13.8995 | −1.02191 | ||||||||
\(186\) | −12.9706 | −0.951048 | ||||||||
\(187\) | 32.1421 | 2.35047 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.65685 | 0.411476 | ||||||||
\(190\) | 13.3137 | 0.965878 | ||||||||
\(191\) | 12.6569 | 0.915818 | 0.457909 | − | 0.888999i | \(-0.348599\pi\) | ||||
0.457909 | + | 0.888999i | \(0.348599\pi\) | |||||||
\(192\) | 11.3137 | 0.816497 | ||||||||
\(193\) | −12.3137 | −0.886360 | −0.443180 | − | 0.896433i | \(-0.646150\pi\) | ||||
−0.443180 | + | 0.896433i | \(0.646150\pi\) | |||||||
\(194\) | 14.4853 | 1.03998 | ||||||||
\(195\) | 13.6569 | 0.977988 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.65685 | 0.616775 | 0.308388 | − | 0.951261i | \(-0.400211\pi\) | ||||
0.308388 | + | 0.951261i | \(0.400211\pi\) | |||||||
\(198\) | 6.82843 | 0.485275 | ||||||||
\(199\) | 23.8995 | 1.69419 | 0.847095 | − | 0.531441i | \(-0.178349\pi\) | ||||
0.847095 | + | 0.531441i | \(0.178349\pi\) | |||||||
\(200\) | 8.48528 | 0.600000 | ||||||||
\(201\) | 1.89949 | 0.133980 | ||||||||
\(202\) | 5.89949 | 0.415087 | ||||||||
\(203\) | 6.82843 | 0.479262 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.3137 | 1.06956 | ||||||||
\(206\) | 4.92893 | 0.343415 | ||||||||
\(207\) | 3.17157 | 0.220440 | ||||||||
\(208\) | −27.3137 | −1.89386 | ||||||||
\(209\) | −32.1421 | −2.22332 | ||||||||
\(210\) | −2.82843 | −0.195180 | ||||||||
\(211\) | −9.31371 | −0.641182 | −0.320591 | − | 0.947218i | \(-0.603882\pi\) | ||||
−0.320591 | + | 0.947218i | \(0.603882\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 8.48528 | 0.581402 | ||||||||
\(214\) | −12.0000 | −0.820303 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 16.0000 | 1.08866 | ||||||||
\(217\) | 6.48528 | 0.440250 | ||||||||
\(218\) | 9.17157 | 0.621177 | ||||||||
\(219\) | −4.24264 | −0.286691 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −45.4558 | −3.05769 | ||||||||
\(222\) | −19.6569 | −1.31928 | ||||||||
\(223\) | 1.27208 | 0.0851846 | 0.0425923 | − | 0.999093i | \(-0.486438\pi\) | ||||
0.0425923 | + | 0.999093i | \(0.486438\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.00000 | 0.200000 | ||||||||
\(226\) | 1.31371 | 0.0873866 | ||||||||
\(227\) | −21.4142 | −1.42131 | −0.710656 | − | 0.703540i | \(-0.751602\pi\) | ||||
−0.710656 | + | 0.703540i | \(0.751602\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.51472 | 0.628750 | 0.314375 | − | 0.949299i | \(-0.398205\pi\) | ||||
0.314375 | + | 0.949299i | \(0.398205\pi\) | |||||||
\(230\) | −6.34315 | −0.418255 | ||||||||
\(231\) | 6.82843 | 0.449278 | ||||||||
\(232\) | 19.3137 | 1.26801 | ||||||||
\(233\) | −0.343146 | −0.0224802 | −0.0112401 | − | 0.999937i | \(-0.503578\pi\) | ||||
−0.0112401 | + | 0.999937i | \(0.503578\pi\) | |||||||
\(234\) | −9.65685 | −0.631288 | ||||||||
\(235\) | 15.6569 | 1.02134 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.75736 | −0.503895 | ||||||||
\(238\) | 9.41421 | 0.610233 | ||||||||
\(239\) | 8.65685 | 0.559965 | 0.279983 | − | 0.960005i | \(-0.409671\pi\) | ||||
0.279983 | + | 0.960005i | \(0.409671\pi\) | |||||||
\(240\) | −8.00000 | −0.516398 | ||||||||
\(241\) | 11.4853 | 0.739832 | 0.369916 | − | 0.929065i | \(-0.379386\pi\) | ||||
0.369916 | + | 0.929065i | \(0.379386\pi\) | |||||||
\(242\) | 17.4142 | 1.11943 | ||||||||
\(243\) | 9.89949 | 0.635053 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −8.48528 | −0.542105 | ||||||||
\(246\) | 21.6569 | 1.38079 | ||||||||
\(247\) | 45.4558 | 2.89229 | ||||||||
\(248\) | 18.3431 | 1.16479 | ||||||||
\(249\) | −15.7574 | −0.998582 | ||||||||
\(250\) | −16.0000 | −1.01193 | ||||||||
\(251\) | 2.48528 | 0.156870 | 0.0784348 | − | 0.996919i | \(-0.475008\pi\) | ||||
0.0784348 | + | 0.996919i | \(0.475008\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.3137 | 0.962765 | ||||||||
\(254\) | −29.4142 | −1.84561 | ||||||||
\(255\) | −13.3137 | −0.833737 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −16.9706 | −1.05859 | −0.529297 | − | 0.848436i | \(-0.677544\pi\) | ||||
−0.529297 | + | 0.848436i | \(0.677544\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.82843 | 0.610709 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.82843 | 0.422669 | ||||||||
\(262\) | 24.7279 | 1.52770 | ||||||||
\(263\) | 12.3137 | 0.759296 | 0.379648 | − | 0.925131i | \(-0.376045\pi\) | ||||
0.379648 | + | 0.925131i | \(0.376045\pi\) | |||||||
\(264\) | 19.3137 | 1.18868 | ||||||||
\(265\) | −18.8284 | −1.15662 | ||||||||
\(266\) | −9.41421 | −0.577222 | ||||||||
\(267\) | −8.72792 | −0.534140 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.68629 | −0.407670 | −0.203835 | − | 0.979005i | \(-0.565341\pi\) | ||||
−0.203835 | + | 0.979005i | \(0.565341\pi\) | |||||||
\(270\) | −11.3137 | −0.688530 | ||||||||
\(271\) | 17.3431 | 1.05352 | 0.526761 | − | 0.850014i | \(-0.323406\pi\) | ||||
0.526761 | + | 0.850014i | \(0.323406\pi\) | |||||||
\(272\) | 26.6274 | 1.61452 | ||||||||
\(273\) | −9.65685 | −0.584459 | ||||||||
\(274\) | −4.24264 | −0.256307 | ||||||||
\(275\) | 14.4853 | 0.873495 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.4853 | −0.870336 | −0.435168 | − | 0.900349i | \(-0.643311\pi\) | ||||
−0.435168 | + | 0.900349i | \(0.643311\pi\) | |||||||
\(278\) | −22.1421 | −1.32800 | ||||||||
\(279\) | 6.48528 | 0.388264 | ||||||||
\(280\) | 4.00000 | 0.239046 | ||||||||
\(281\) | 4.17157 | 0.248855 | 0.124428 | − | 0.992229i | \(-0.460291\pi\) | ||||
0.124428 | + | 0.992229i | \(0.460291\pi\) | |||||||
\(282\) | 22.1421 | 1.31854 | ||||||||
\(283\) | −7.17157 | −0.426306 | −0.213153 | − | 0.977019i | \(-0.568373\pi\) | ||||
−0.213153 | + | 0.977019i | \(0.568373\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 13.3137 | 0.788636 | ||||||||
\(286\) | −46.6274 | −2.75714 | ||||||||
\(287\) | −10.8284 | −0.639182 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.3137 | 1.60669 | ||||||||
\(290\) | −13.6569 | −0.801958 | ||||||||
\(291\) | 14.4853 | 0.849142 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −31.3137 | −1.82937 | −0.914683 | − | 0.404172i | \(-0.867560\pi\) | ||||
−0.914683 | + | 0.404172i | \(0.867560\pi\) | |||||||
\(294\) | −12.0000 | −0.699854 | ||||||||
\(295\) | −4.48528 | −0.261143 | ||||||||
\(296\) | 27.7990 | 1.61578 | ||||||||
\(297\) | 27.3137 | 1.58490 | ||||||||
\(298\) | −29.8995 | −1.73203 | ||||||||
\(299\) | −21.6569 | −1.25245 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −19.5563 | −1.12534 | ||||||||
\(303\) | 5.89949 | 0.338917 | ||||||||
\(304\) | −26.6274 | −1.52719 | ||||||||
\(305\) | 18.1421 | 1.03882 | ||||||||
\(306\) | 9.41421 | 0.538175 | ||||||||
\(307\) | −2.68629 | −0.153315 | −0.0766574 | − | 0.997057i | \(-0.524425\pi\) | ||||
−0.0766574 | + | 0.997057i | \(0.524425\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.92893 | 0.280397 | ||||||||
\(310\) | −12.9706 | −0.736678 | ||||||||
\(311\) | 19.9706 | 1.13243 | 0.566213 | − | 0.824259i | \(-0.308408\pi\) | ||||
0.566213 | + | 0.824259i | \(0.308408\pi\) | |||||||
\(312\) | −27.3137 | −1.54633 | ||||||||
\(313\) | −13.4853 | −0.762233 | −0.381117 | − | 0.924527i | \(-0.624460\pi\) | ||||
−0.381117 | + | 0.924527i | \(0.624460\pi\) | |||||||
\(314\) | 10.3431 | 0.583697 | ||||||||
\(315\) | 1.41421 | 0.0796819 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 10.2426 | 0.575284 | 0.287642 | − | 0.957738i | \(-0.407129\pi\) | ||||
0.287642 | + | 0.957738i | \(0.407129\pi\) | |||||||
\(318\) | −26.6274 | −1.49319 | ||||||||
\(319\) | 32.9706 | 1.84600 | ||||||||
\(320\) | 11.3137 | 0.632456 | ||||||||
\(321\) | −12.0000 | −0.669775 | ||||||||
\(322\) | 4.48528 | 0.249955 | ||||||||
\(323\) | −44.3137 | −2.46568 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.4853 | −1.13632 | ||||||||
\(326\) | −2.82843 | −0.156652 | ||||||||
\(327\) | 9.17157 | 0.507189 | ||||||||
\(328\) | −30.6274 | −1.69112 | ||||||||
\(329\) | −11.0711 | −0.610368 | ||||||||
\(330\) | −13.6569 | −0.751785 | ||||||||
\(331\) | 14.4853 | 0.796183 | 0.398092 | − | 0.917346i | \(-0.369673\pi\) | ||||
0.398092 | + | 0.917346i | \(0.369673\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 9.82843 | 0.538594 | ||||||||
\(334\) | −2.97056 | −0.162542 | ||||||||
\(335\) | 1.89949 | 0.103780 | ||||||||
\(336\) | 5.65685 | 0.308607 | ||||||||
\(337\) | 15.3137 | 0.834191 | 0.417095 | − | 0.908863i | \(-0.363048\pi\) | ||||
0.417095 | + | 0.908863i | \(0.363048\pi\) | |||||||
\(338\) | 47.5563 | 2.58672 | ||||||||
\(339\) | 1.31371 | 0.0713509 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 31.3137 | 1.69573 | ||||||||
\(342\) | −9.41421 | −0.509062 | ||||||||
\(343\) | 13.0000 | 0.701934 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.34315 | −0.341503 | ||||||||
\(346\) | −0.970563 | −0.0521778 | ||||||||
\(347\) | 31.2843 | 1.67943 | 0.839714 | − | 0.543029i | \(-0.182723\pi\) | ||||
0.839714 | + | 0.543029i | \(0.182723\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 24.6569 | 1.31985 | 0.659926 | − | 0.751331i | \(-0.270588\pi\) | ||||
0.659926 | + | 0.751331i | \(0.270588\pi\) | |||||||
\(350\) | 4.24264 | 0.226779 | ||||||||
\(351\) | −38.6274 | −2.06178 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.3431 | −0.816633 | −0.408317 | − | 0.912840i | \(-0.633884\pi\) | ||||
−0.408317 | + | 0.912840i | \(0.633884\pi\) | |||||||
\(354\) | −6.34315 | −0.337134 | ||||||||
\(355\) | 8.48528 | 0.450352 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 9.41421 | 0.498253 | ||||||||
\(358\) | −2.34315 | −0.123839 | ||||||||
\(359\) | 13.8995 | 0.733587 | 0.366794 | − | 0.930302i | \(-0.380456\pi\) | ||||
0.366794 | + | 0.930302i | \(0.380456\pi\) | |||||||
\(360\) | 4.00000 | 0.210819 | ||||||||
\(361\) | 25.3137 | 1.33230 | ||||||||
\(362\) | 27.3137 | 1.43558 | ||||||||
\(363\) | 17.4142 | 0.914009 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.24264 | −0.222070 | ||||||||
\(366\) | 25.6569 | 1.34111 | ||||||||
\(367\) | −4.82843 | −0.252042 | −0.126021 | − | 0.992028i | \(-0.540221\pi\) | ||||
−0.126021 | + | 0.992028i | \(0.540221\pi\) | |||||||
\(368\) | 12.6863 | 0.661319 | ||||||||
\(369\) | −10.8284 | −0.563705 | ||||||||
\(370\) | −19.6569 | −1.02191 | ||||||||
\(371\) | 13.3137 | 0.691213 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.4853 | −0.853576 | −0.426788 | − | 0.904352i | \(-0.640355\pi\) | ||||
−0.426788 | + | 0.904352i | \(0.640355\pi\) | |||||||
\(374\) | 45.4558 | 2.35047 | ||||||||
\(375\) | −16.0000 | −0.826236 | ||||||||
\(376\) | −31.3137 | −1.61488 | ||||||||
\(377\) | −46.6274 | −2.40143 | ||||||||
\(378\) | 8.00000 | 0.411476 | ||||||||
\(379\) | −19.2132 | −0.986916 | −0.493458 | − | 0.869770i | \(-0.664267\pi\) | ||||
−0.493458 | + | 0.869770i | \(0.664267\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −29.4142 | −1.50694 | ||||||||
\(382\) | 17.8995 | 0.915818 | ||||||||
\(383\) | 7.55635 | 0.386111 | 0.193056 | − | 0.981188i | \(-0.438160\pi\) | ||||
0.193056 | + | 0.981188i | \(0.438160\pi\) | |||||||
\(384\) | 16.0000 | 0.816497 | ||||||||
\(385\) | 6.82843 | 0.348009 | ||||||||
\(386\) | −17.4142 | −0.886360 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.6274 | 0.538831 | 0.269416 | − | 0.963024i | \(-0.413169\pi\) | ||||
0.269416 | + | 0.963024i | \(0.413169\pi\) | |||||||
\(390\) | 19.3137 | 0.977988 | ||||||||
\(391\) | 21.1127 | 1.06772 | ||||||||
\(392\) | 16.9706 | 0.857143 | ||||||||
\(393\) | 24.7279 | 1.24736 | ||||||||
\(394\) | 12.2426 | 0.616775 | ||||||||
\(395\) | −7.75736 | −0.390315 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.0000 | −0.752828 | −0.376414 | − | 0.926451i | \(-0.622843\pi\) | ||||
−0.376414 | + | 0.926451i | \(0.622843\pi\) | |||||||
\(398\) | 33.7990 | 1.69419 | ||||||||
\(399\) | −9.41421 | −0.471300 | ||||||||
\(400\) | 12.0000 | 0.600000 | ||||||||
\(401\) | 25.4558 | 1.27120 | 0.635602 | − | 0.772017i | \(-0.280752\pi\) | ||||
0.635602 | + | 0.772017i | \(0.280752\pi\) | |||||||
\(402\) | 2.68629 | 0.133980 | ||||||||
\(403\) | −44.2843 | −2.20596 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.07107 | −0.351364 | ||||||||
\(406\) | 9.65685 | 0.479262 | ||||||||
\(407\) | 47.4558 | 2.35230 | ||||||||
\(408\) | 26.6274 | 1.31825 | ||||||||
\(409\) | 23.5563 | 1.16479 | 0.582393 | − | 0.812907i | \(-0.302116\pi\) | ||||
0.582393 | + | 0.812907i | \(0.302116\pi\) | |||||||
\(410\) | 21.6569 | 1.06956 | ||||||||
\(411\) | −4.24264 | −0.209274 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.17157 | 0.156063 | ||||||||
\(414\) | 4.48528 | 0.220440 | ||||||||
\(415\) | −15.7574 | −0.773498 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −22.1421 | −1.08431 | ||||||||
\(418\) | −45.4558 | −2.22332 | ||||||||
\(419\) | −31.3137 | −1.52977 | −0.764887 | − | 0.644164i | \(-0.777205\pi\) | ||||
−0.764887 | + | 0.644164i | \(0.777205\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.4853 | 1.29081 | 0.645407 | − | 0.763839i | \(-0.276688\pi\) | ||||
0.645407 | + | 0.763839i | \(0.276688\pi\) | |||||||
\(422\) | −13.1716 | −0.641182 | ||||||||
\(423\) | −11.0711 | −0.538294 | ||||||||
\(424\) | 37.6569 | 1.82878 | ||||||||
\(425\) | 19.9706 | 0.968715 | ||||||||
\(426\) | 12.0000 | 0.581402 | ||||||||
\(427\) | −12.8284 | −0.620811 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −46.6274 | −2.25119 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.0000 | −0.867029 | −0.433515 | − | 0.901146i | \(-0.642727\pi\) | ||||
−0.433515 | + | 0.901146i | \(0.642727\pi\) | |||||||
\(432\) | 22.6274 | 1.08866 | ||||||||
\(433\) | −37.9706 | −1.82475 | −0.912374 | − | 0.409357i | \(-0.865753\pi\) | ||||
−0.912374 | + | 0.409357i | \(0.865753\pi\) | |||||||
\(434\) | 9.17157 | 0.440250 | ||||||||
\(435\) | −13.6569 | −0.654796 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −21.1127 | −1.00996 | ||||||||
\(438\) | −6.00000 | −0.286691 | ||||||||
\(439\) | 18.4853 | 0.882254 | 0.441127 | − | 0.897445i | \(-0.354579\pi\) | ||||
0.441127 | + | 0.897445i | \(0.354579\pi\) | |||||||
\(440\) | 19.3137 | 0.920745 | ||||||||
\(441\) | 6.00000 | 0.285714 | ||||||||
\(442\) | −64.2843 | −3.05769 | ||||||||
\(443\) | −34.9706 | −1.66150 | −0.830751 | − | 0.556645i | \(-0.812089\pi\) | ||||
−0.830751 | + | 0.556645i | \(0.812089\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.72792 | −0.413743 | ||||||||
\(446\) | 1.79899 | 0.0851846 | ||||||||
\(447\) | −29.8995 | −1.41420 | ||||||||
\(448\) | −8.00000 | −0.377964 | ||||||||
\(449\) | −40.0416 | −1.88968 | −0.944841 | − | 0.327530i | \(-0.893784\pi\) | ||||
−0.944841 | + | 0.327530i | \(0.893784\pi\) | |||||||
\(450\) | 4.24264 | 0.200000 | ||||||||
\(451\) | −52.2843 | −2.46197 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −19.5563 | −0.918837 | ||||||||
\(454\) | −30.2843 | −1.42131 | ||||||||
\(455\) | −9.65685 | −0.452720 | ||||||||
\(456\) | −26.6274 | −1.24694 | ||||||||
\(457\) | −24.6274 | −1.15202 | −0.576011 | − | 0.817442i | \(-0.695391\pi\) | ||||
−0.576011 | + | 0.817442i | \(0.695391\pi\) | |||||||
\(458\) | 13.4558 | 0.628750 | ||||||||
\(459\) | 37.6569 | 1.75767 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −12.3431 | −0.574878 | −0.287439 | − | 0.957799i | \(-0.592804\pi\) | ||||
−0.287439 | + | 0.957799i | \(0.592804\pi\) | |||||||
\(462\) | 9.65685 | 0.449278 | ||||||||
\(463\) | −27.2132 | −1.26470 | −0.632352 | − | 0.774681i | \(-0.717911\pi\) | ||||
−0.632352 | + | 0.774681i | \(0.717911\pi\) | |||||||
\(464\) | 27.3137 | 1.26801 | ||||||||
\(465\) | −12.9706 | −0.601495 | ||||||||
\(466\) | −0.485281 | −0.0224802 | ||||||||
\(467\) | 26.4853 | 1.22559 | 0.612796 | − | 0.790241i | \(-0.290045\pi\) | ||||
0.612796 | + | 0.790241i | \(0.290045\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.34315 | −0.0620207 | ||||||||
\(470\) | 22.1421 | 1.02134 | ||||||||
\(471\) | 10.3431 | 0.476587 | ||||||||
\(472\) | 8.97056 | 0.412904 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −10.9706 | −0.503895 | ||||||||
\(475\) | −19.9706 | −0.916312 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.3137 | 0.609593 | ||||||||
\(478\) | 12.2426 | 0.559965 | ||||||||
\(479\) | −16.4558 | −0.751887 | −0.375943 | − | 0.926643i | \(-0.622681\pi\) | ||||
−0.375943 | + | 0.926643i | \(0.622681\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −67.1127 | −3.06008 | ||||||||
\(482\) | 16.2426 | 0.739832 | ||||||||
\(483\) | 4.48528 | 0.204087 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 14.4853 | 0.657743 | ||||||||
\(486\) | 14.0000 | 0.635053 | ||||||||
\(487\) | 39.9411 | 1.80991 | 0.904953 | − | 0.425512i | \(-0.139906\pi\) | ||||
0.904953 | + | 0.425512i | \(0.139906\pi\) | |||||||
\(488\) | −36.2843 | −1.64251 | ||||||||
\(489\) | −2.82843 | −0.127906 | ||||||||
\(490\) | −12.0000 | −0.542105 | ||||||||
\(491\) | −4.10051 | −0.185053 | −0.0925266 | − | 0.995710i | \(-0.529494\pi\) | ||||
−0.0925266 | + | 0.995710i | \(0.529494\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 45.4558 | 2.04723 | ||||||||
\(494\) | 64.2843 | 2.89229 | ||||||||
\(495\) | 6.82843 | 0.306915 | ||||||||
\(496\) | 25.9411 | 1.16479 | ||||||||
\(497\) | −6.00000 | −0.269137 | ||||||||
\(498\) | −22.2843 | −0.998582 | ||||||||
\(499\) | −25.3431 | −1.13452 | −0.567258 | − | 0.823540i | \(-0.691996\pi\) | ||||
−0.567258 | + | 0.823540i | \(0.691996\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.97056 | −0.132715 | ||||||||
\(502\) | 3.51472 | 0.156870 | ||||||||
\(503\) | −25.9706 | −1.15797 | −0.578985 | − | 0.815338i | \(-0.696551\pi\) | ||||
−0.578985 | + | 0.815338i | \(0.696551\pi\) | |||||||
\(504\) | −2.82843 | −0.125988 | ||||||||
\(505\) | 5.89949 | 0.262524 | ||||||||
\(506\) | 21.6569 | 0.962765 | ||||||||
\(507\) | 47.5563 | 2.11205 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.51472 | −0.421732 | −0.210866 | − | 0.977515i | \(-0.567628\pi\) | ||||
−0.210866 | + | 0.977515i | \(0.567628\pi\) | |||||||
\(510\) | −18.8284 | −0.833737 | ||||||||
\(511\) | 3.00000 | 0.132712 | ||||||||
\(512\) | −22.6274 | −1.00000 | ||||||||
\(513\) | −37.6569 | −1.66259 | ||||||||
\(514\) | −24.0000 | −1.05859 | ||||||||
\(515\) | 4.92893 | 0.217195 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −53.4558 | −2.35099 | ||||||||
\(518\) | 13.8995 | 0.610709 | ||||||||
\(519\) | −0.970563 | −0.0426030 | ||||||||
\(520\) | −27.3137 | −1.19779 | ||||||||
\(521\) | 25.4142 | 1.11342 | 0.556708 | − | 0.830708i | \(-0.312064\pi\) | ||||
0.556708 | + | 0.830708i | \(0.312064\pi\) | |||||||
\(522\) | 9.65685 | 0.422669 | ||||||||
\(523\) | 34.9706 | 1.52916 | 0.764578 | − | 0.644531i | \(-0.222947\pi\) | ||||
0.764578 | + | 0.644531i | \(0.222947\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.24264 | 0.185164 | ||||||||
\(526\) | 17.4142 | 0.759296 | ||||||||
\(527\) | 43.1716 | 1.88058 | ||||||||
\(528\) | 27.3137 | 1.18868 | ||||||||
\(529\) | −12.9411 | −0.562658 | ||||||||
\(530\) | −26.6274 | −1.15662 | ||||||||
\(531\) | 3.17157 | 0.137635 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 73.9411 | 3.20275 | ||||||||
\(534\) | −12.3431 | −0.534140 | ||||||||
\(535\) | −12.0000 | −0.518805 | ||||||||
\(536\) | −3.79899 | −0.164091 | ||||||||
\(537\) | −2.34315 | −0.101114 | ||||||||
\(538\) | −9.45584 | −0.407670 | ||||||||
\(539\) | 28.9706 | 1.24785 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.4853 | −0.708758 | −0.354379 | − | 0.935102i | \(-0.615308\pi\) | ||||
−0.354379 | + | 0.935102i | \(0.615308\pi\) | |||||||
\(542\) | 24.5269 | 1.05352 | ||||||||
\(543\) | 27.3137 | 1.17214 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 9.17157 | 0.392867 | ||||||||
\(546\) | −13.6569 | −0.584459 | ||||||||
\(547\) | 5.51472 | 0.235792 | 0.117896 | − | 0.993026i | \(-0.462385\pi\) | ||||
0.117896 | + | 0.993026i | \(0.462385\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −12.8284 | −0.547504 | ||||||||
\(550\) | 20.4853 | 0.873495 | ||||||||
\(551\) | −45.4558 | −1.93648 | ||||||||
\(552\) | 12.6863 | 0.539964 | ||||||||
\(553\) | 5.48528 | 0.233258 | ||||||||
\(554\) | −20.4853 | −0.870336 | ||||||||
\(555\) | −19.6569 | −0.834387 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.82843 | −0.246958 | −0.123479 | − | 0.992347i | \(-0.539405\pi\) | ||||
−0.123479 | + | 0.992347i | \(0.539405\pi\) | |||||||
\(558\) | 9.17157 | 0.388264 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 5.65685 | 0.239046 | ||||||||
\(561\) | 45.4558 | 1.91915 | ||||||||
\(562\) | 5.89949 | 0.248855 | ||||||||
\(563\) | 9.89949 | 0.417214 | 0.208607 | − | 0.978000i | \(-0.433107\pi\) | ||||
0.208607 | + | 0.978000i | \(0.433107\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.31371 | 0.0552681 | ||||||||
\(566\) | −10.1421 | −0.426306 | ||||||||
\(567\) | 5.00000 | 0.209980 | ||||||||
\(568\) | −16.9706 | −0.712069 | ||||||||
\(569\) | −46.1127 | −1.93314 | −0.966572 | − | 0.256394i | \(-0.917466\pi\) | ||||
−0.966572 | + | 0.256394i | \(0.917466\pi\) | |||||||
\(570\) | 18.8284 | 0.788636 | ||||||||
\(571\) | −11.1716 | −0.467516 | −0.233758 | − | 0.972295i | \(-0.575102\pi\) | ||||
−0.233758 | + | 0.972295i | \(0.575102\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.8995 | 0.747762 | ||||||||
\(574\) | −15.3137 | −0.639182 | ||||||||
\(575\) | 9.51472 | 0.396791 | ||||||||
\(576\) | −8.00000 | −0.333333 | ||||||||
\(577\) | −13.9706 | −0.581602 | −0.290801 | − | 0.956784i | \(-0.593922\pi\) | ||||
−0.290801 | + | 0.956784i | \(0.593922\pi\) | |||||||
\(578\) | 38.6274 | 1.60669 | ||||||||
\(579\) | −17.4142 | −0.723710 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 11.1421 | 0.462254 | ||||||||
\(582\) | 20.4853 | 0.849142 | ||||||||
\(583\) | 64.2843 | 2.66238 | ||||||||
\(584\) | 8.48528 | 0.351123 | ||||||||
\(585\) | −9.65685 | −0.399262 | ||||||||
\(586\) | −44.2843 | −1.82937 | ||||||||
\(587\) | 20.8701 | 0.861399 | 0.430700 | − | 0.902495i | \(-0.358267\pi\) | ||||
0.430700 | + | 0.902495i | \(0.358267\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −43.1716 | −1.77885 | ||||||||
\(590\) | −6.34315 | −0.261143 | ||||||||
\(591\) | 12.2426 | 0.503595 | ||||||||
\(592\) | 39.3137 | 1.61578 | ||||||||
\(593\) | 22.4558 | 0.922151 | 0.461075 | − | 0.887361i | \(-0.347464\pi\) | ||||
0.461075 | + | 0.887361i | \(0.347464\pi\) | |||||||
\(594\) | 38.6274 | 1.58490 | ||||||||
\(595\) | 9.41421 | 0.385945 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 33.7990 | 1.38330 | ||||||||
\(598\) | −30.6274 | −1.25245 | ||||||||
\(599\) | 4.34315 | 0.177456 | 0.0887281 | − | 0.996056i | \(-0.471720\pi\) | ||||
0.0887281 | + | 0.996056i | \(0.471720\pi\) | |||||||
\(600\) | 12.0000 | 0.489898 | ||||||||
\(601\) | −25.3137 | −1.03257 | −0.516284 | − | 0.856418i | \(-0.672685\pi\) | ||||
−0.516284 | + | 0.856418i | \(0.672685\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.34315 | −0.0546971 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 17.4142 | 0.707988 | ||||||||
\(606\) | 8.34315 | 0.338917 | ||||||||
\(607\) | 10.7279 | 0.435433 | 0.217716 | − | 0.976012i | \(-0.430139\pi\) | ||||
0.217716 | + | 0.976012i | \(0.430139\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.65685 | 0.391315 | ||||||||
\(610\) | 25.6569 | 1.03882 | ||||||||
\(611\) | 75.5980 | 3.05837 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.2132 | 0.452897 | 0.226449 | − | 0.974023i | \(-0.427288\pi\) | ||||
0.226449 | + | 0.974023i | \(0.427288\pi\) | |||||||
\(614\) | −3.79899 | −0.153315 | ||||||||
\(615\) | 21.6569 | 0.873289 | ||||||||
\(616\) | −13.6569 | −0.550250 | ||||||||
\(617\) | −39.3137 | −1.58271 | −0.791355 | − | 0.611357i | \(-0.790624\pi\) | ||||
−0.791355 | + | 0.611357i | \(0.790624\pi\) | |||||||
\(618\) | 6.97056 | 0.280397 | ||||||||
\(619\) | 12.4437 | 0.500153 | 0.250076 | − | 0.968226i | \(-0.419544\pi\) | ||||
0.250076 | + | 0.968226i | \(0.419544\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.9411 | 0.719953 | ||||||||
\(622\) | 28.2426 | 1.13243 | ||||||||
\(623\) | 6.17157 | 0.247259 | ||||||||
\(624\) | −38.6274 | −1.54633 | ||||||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | −19.0711 | −0.762233 | ||||||||
\(627\) | −45.4558 | −1.81533 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 65.4264 | 2.60872 | ||||||||
\(630\) | 2.00000 | 0.0796819 | ||||||||
\(631\) | 32.7990 | 1.30571 | 0.652854 | − | 0.757484i | \(-0.273572\pi\) | ||||
0.652854 | + | 0.757484i | \(0.273572\pi\) | |||||||
\(632\) | 15.5147 | 0.617142 | ||||||||
\(633\) | −13.1716 | −0.523523 | ||||||||
\(634\) | 14.4853 | 0.575284 | ||||||||
\(635\) | −29.4142 | −1.16727 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −40.9706 | −1.62331 | ||||||||
\(638\) | 46.6274 | 1.84600 | ||||||||
\(639\) | −6.00000 | −0.237356 | ||||||||
\(640\) | 16.0000 | 0.632456 | ||||||||
\(641\) | −9.68629 | −0.382586 | −0.191293 | − | 0.981533i | \(-0.561268\pi\) | ||||
−0.191293 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(642\) | −16.9706 | −0.669775 | ||||||||
\(643\) | 36.6274 | 1.44444 | 0.722222 | − | 0.691661i | \(-0.243121\pi\) | ||||
0.722222 | + | 0.691661i | \(0.243121\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −62.6690 | −2.46568 | ||||||||
\(647\) | −7.79899 | −0.306610 | −0.153305 | − | 0.988179i | \(-0.548992\pi\) | ||||
−0.153305 | + | 0.988179i | \(0.548992\pi\) | |||||||
\(648\) | 14.1421 | 0.555556 | ||||||||
\(649\) | 15.3137 | 0.601116 | ||||||||
\(650\) | −28.9706 | −1.13632 | ||||||||
\(651\) | 9.17157 | 0.359462 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.6274 | 0.885479 | 0.442740 | − | 0.896650i | \(-0.354007\pi\) | ||||
0.442740 | + | 0.896650i | \(0.354007\pi\) | |||||||
\(654\) | 12.9706 | 0.507189 | ||||||||
\(655\) | 24.7279 | 0.966200 | ||||||||
\(656\) | −43.3137 | −1.69112 | ||||||||
\(657\) | 3.00000 | 0.117041 | ||||||||
\(658\) | −15.6569 | −0.610368 | ||||||||
\(659\) | 3.17157 | 0.123547 | 0.0617735 | − | 0.998090i | \(-0.480324\pi\) | ||||
0.0617735 | + | 0.998090i | \(0.480324\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.0000 | −0.622328 | −0.311164 | − | 0.950356i | \(-0.600719\pi\) | ||||
−0.311164 | + | 0.950356i | \(0.600719\pi\) | |||||||
\(662\) | 20.4853 | 0.796183 | ||||||||
\(663\) | −64.2843 | −2.49659 | ||||||||
\(664\) | 31.5147 | 1.22301 | ||||||||
\(665\) | −9.41421 | −0.365068 | ||||||||
\(666\) | 13.8995 | 0.538594 | ||||||||
\(667\) | 21.6569 | 0.838557 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.79899 | 0.0695530 | ||||||||
\(670\) | 2.68629 | 0.103780 | ||||||||
\(671\) | −61.9411 | −2.39121 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 33.6985 | 1.29898 | 0.649491 | − | 0.760370i | \(-0.274982\pi\) | ||||
0.649491 | + | 0.760370i | \(0.274982\pi\) | |||||||
\(674\) | 21.6569 | 0.834191 | ||||||||
\(675\) | 16.9706 | 0.653197 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.34315 | 0.128488 | 0.0642438 | − | 0.997934i | \(-0.479536\pi\) | ||||
0.0642438 | + | 0.997934i | \(0.479536\pi\) | |||||||
\(678\) | 1.85786 | 0.0713509 | ||||||||
\(679\) | −10.2426 | −0.393076 | ||||||||
\(680\) | 26.6274 | 1.02111 | ||||||||
\(681\) | −30.2843 | −1.16050 | ||||||||
\(682\) | 44.2843 | 1.69573 | ||||||||
\(683\) | 12.0000 | 0.459167 | 0.229584 | − | 0.973289i | \(-0.426264\pi\) | ||||
0.229584 | + | 0.973289i | \(0.426264\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.24264 | −0.162103 | ||||||||
\(686\) | 18.3848 | 0.701934 | ||||||||
\(687\) | 13.4558 | 0.513372 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −90.9117 | −3.46346 | ||||||||
\(690\) | −8.97056 | −0.341503 | ||||||||
\(691\) | 10.0294 | 0.381538 | 0.190769 | − | 0.981635i | \(-0.438902\pi\) | ||||
0.190769 | + | 0.981635i | \(0.438902\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.82843 | −0.183417 | ||||||||
\(694\) | 44.2426 | 1.67943 | ||||||||
\(695\) | −22.1421 | −0.839899 | ||||||||
\(696\) | 27.3137 | 1.03532 | ||||||||
\(697\) | −72.0833 | −2.73035 | ||||||||
\(698\) | 34.8701 | 1.31985 | ||||||||
\(699\) | −0.485281 | −0.0183550 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −33.6274 | −1.27009 | −0.635045 | − | 0.772475i | \(-0.719018\pi\) | ||||
−0.635045 | + | 0.772475i | \(0.719018\pi\) | |||||||
\(702\) | −54.6274 | −2.06178 | ||||||||
\(703\) | −65.4264 | −2.46760 | ||||||||
\(704\) | −38.6274 | −1.45583 | ||||||||
\(705\) | 22.1421 | 0.833921 | ||||||||
\(706\) | −21.6985 | −0.816633 | ||||||||
\(707\) | −4.17157 | −0.156888 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.9706 | 0.825122 | 0.412561 | − | 0.910930i | \(-0.364634\pi\) | ||||
0.412561 | + | 0.910930i | \(0.364634\pi\) | |||||||
\(710\) | 12.0000 | 0.450352 | ||||||||
\(711\) | 5.48528 | 0.205714 | ||||||||
\(712\) | 17.4558 | 0.654185 | ||||||||
\(713\) | 20.5685 | 0.770298 | ||||||||
\(714\) | 13.3137 | 0.498253 | ||||||||
\(715\) | −46.6274 | −1.74377 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 12.2426 | 0.457210 | ||||||||
\(718\) | 19.6569 | 0.733587 | ||||||||
\(719\) | 43.9706 | 1.63983 | 0.819913 | − | 0.572489i | \(-0.194022\pi\) | ||||
0.819913 | + | 0.572489i | \(0.194022\pi\) | |||||||
\(720\) | 5.65685 | 0.210819 | ||||||||
\(721\) | −3.48528 | −0.129799 | ||||||||
\(722\) | 35.7990 | 1.33230 | ||||||||
\(723\) | 16.2426 | 0.604070 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 20.4853 | 0.760804 | ||||||||
\(726\) | 24.6274 | 0.914009 | ||||||||
\(727\) | 16.7279 | 0.620404 | 0.310202 | − | 0.950671i | \(-0.399603\pi\) | ||||
0.310202 | + | 0.950671i | \(0.399603\pi\) | |||||||
\(728\) | 19.3137 | 0.715814 | ||||||||
\(729\) | 29.0000 | 1.07407 | ||||||||
\(730\) | −6.00000 | −0.222070 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −43.1716 | −1.59458 | −0.797289 | − | 0.603597i | \(-0.793733\pi\) | ||||
−0.797289 | + | 0.603597i | \(0.793733\pi\) | |||||||
\(734\) | −6.82843 | −0.252042 | ||||||||
\(735\) | −12.0000 | −0.442627 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.48528 | −0.238888 | ||||||||
\(738\) | −15.3137 | −0.563705 | ||||||||
\(739\) | 7.82843 | 0.287973 | 0.143987 | − | 0.989580i | \(-0.454008\pi\) | ||||
0.143987 | + | 0.989580i | \(0.454008\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 64.2843 | 2.36154 | ||||||||
\(742\) | 18.8284 | 0.691213 | ||||||||
\(743\) | −36.5858 | −1.34220 | −0.671101 | − | 0.741366i | \(-0.734178\pi\) | ||||
−0.671101 | + | 0.741366i | \(0.734178\pi\) | |||||||
\(744\) | 25.9411 | 0.951048 | ||||||||
\(745\) | −29.8995 | −1.09543 | ||||||||
\(746\) | −23.3137 | −0.853576 | ||||||||
\(747\) | 11.1421 | 0.407669 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.48528 | 0.310045 | ||||||||
\(750\) | −22.6274 | −0.826236 | ||||||||
\(751\) | 47.4853 | 1.73276 | 0.866381 | − | 0.499383i | \(-0.166440\pi\) | ||||
0.866381 | + | 0.499383i | \(0.166440\pi\) | |||||||
\(752\) | −44.2843 | −1.61488 | ||||||||
\(753\) | 3.51472 | 0.128083 | ||||||||
\(754\) | −65.9411 | −2.40143 | ||||||||
\(755\) | −19.5563 | −0.711728 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.20101 | 0.334416 | 0.167208 | − | 0.985922i | \(-0.446525\pi\) | ||||
0.167208 | + | 0.985922i | \(0.446525\pi\) | |||||||
\(758\) | −27.1716 | −0.986916 | ||||||||
\(759\) | 21.6569 | 0.786094 | ||||||||
\(760\) | −26.6274 | −0.965878 | ||||||||
\(761\) | −10.9706 | −0.397683 | −0.198841 | − | 0.980032i | \(-0.563718\pi\) | ||||
−0.198841 | + | 0.980032i | \(0.563718\pi\) | |||||||
\(762\) | −41.5980 | −1.50694 | ||||||||
\(763\) | −6.48528 | −0.234783 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.41421 | 0.340372 | ||||||||
\(766\) | 10.6863 | 0.386111 | ||||||||
\(767\) | −21.6569 | −0.781984 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −32.1838 | −1.16058 | −0.580288 | − | 0.814411i | \(-0.697060\pi\) | ||||
−0.580288 | + | 0.814411i | \(0.697060\pi\) | |||||||
\(770\) | 9.65685 | 0.348009 | ||||||||
\(771\) | −24.0000 | −0.864339 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −11.6152 | −0.417771 | −0.208885 | − | 0.977940i | \(-0.566984\pi\) | ||||
−0.208885 | + | 0.977940i | \(0.566984\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19.4558 | 0.698875 | ||||||||
\(776\) | −28.9706 | −1.03998 | ||||||||
\(777\) | 13.8995 | 0.498642 | ||||||||
\(778\) | 15.0294 | 0.538831 | ||||||||
\(779\) | 72.0833 | 2.58265 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.9706 | −1.03665 | ||||||||
\(782\) | 29.8579 | 1.06772 | ||||||||
\(783\) | 38.6274 | 1.38043 | ||||||||
\(784\) | 24.0000 | 0.857143 | ||||||||
\(785\) | 10.3431 | 0.369163 | ||||||||
\(786\) | 34.9706 | 1.24736 | ||||||||
\(787\) | 28.9411 | 1.03164 | 0.515820 | − | 0.856697i | \(-0.327487\pi\) | ||||
0.515820 | + | 0.856697i | \(0.327487\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 17.4142 | 0.619962 | ||||||||
\(790\) | −10.9706 | −0.390315 | ||||||||
\(791\) | −0.928932 | −0.0330290 | ||||||||
\(792\) | −13.6569 | −0.485275 | ||||||||
\(793\) | 87.5980 | 3.11070 | ||||||||
\(794\) | −21.2132 | −0.752828 | ||||||||
\(795\) | −26.6274 | −0.944377 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −30.9289 | −1.09556 | −0.547779 | − | 0.836623i | \(-0.684527\pi\) | ||||
−0.547779 | + | 0.836623i | \(0.684527\pi\) | |||||||
\(798\) | −13.3137 | −0.471300 | ||||||||
\(799\) | −73.6985 | −2.60726 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.17157 | 0.218062 | ||||||||
\(802\) | 36.0000 | 1.27120 | ||||||||
\(803\) | 14.4853 | 0.511174 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.48528 | 0.158085 | ||||||||
\(806\) | −62.6274 | −2.20596 | ||||||||
\(807\) | −9.45584 | −0.332861 | ||||||||
\(808\) | −11.7990 | −0.415087 | ||||||||
\(809\) | 1.02944 | 0.0361931 | 0.0180965 | − | 0.999836i | \(-0.494239\pi\) | ||||
0.0180965 | + | 0.999836i | \(0.494239\pi\) | |||||||
\(810\) | −10.0000 | −0.351364 | ||||||||
\(811\) | 17.1716 | 0.602975 | 0.301488 | − | 0.953470i | \(-0.402517\pi\) | ||||
0.301488 | + | 0.953470i | \(0.402517\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.5269 | 0.860196 | ||||||||
\(814\) | 67.1127 | 2.35230 | ||||||||
\(815\) | −2.82843 | −0.0990755 | ||||||||
\(816\) | 37.6569 | 1.31825 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 33.3137 | 1.16479 | ||||||||
\(819\) | 6.82843 | 0.238605 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 27.4142 | 0.956763 | 0.478381 | − | 0.878152i | \(-0.341224\pi\) | ||||
0.478381 | + | 0.878152i | \(0.341224\pi\) | |||||||
\(822\) | −6.00000 | −0.209274 | ||||||||
\(823\) | 13.2721 | 0.462636 | 0.231318 | − | 0.972878i | \(-0.425696\pi\) | ||||
0.231318 | + | 0.972878i | \(0.425696\pi\) | |||||||
\(824\) | −9.85786 | −0.343415 | ||||||||
\(825\) | 20.4853 | 0.713206 | ||||||||
\(826\) | 4.48528 | 0.156063 | ||||||||
\(827\) | 11.4853 | 0.399382 | 0.199691 | − | 0.979859i | \(-0.436006\pi\) | ||||
0.199691 | + | 0.979859i | \(0.436006\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22.7279 | −0.789373 | −0.394687 | − | 0.918816i | \(-0.629147\pi\) | ||||
−0.394687 | + | 0.918816i | \(0.629147\pi\) | |||||||
\(830\) | −22.2843 | −0.773498 | ||||||||
\(831\) | −20.4853 | −0.710627 | ||||||||
\(832\) | 54.6274 | 1.89386 | ||||||||
\(833\) | 39.9411 | 1.38388 | ||||||||
\(834\) | −31.3137 | −1.08431 | ||||||||
\(835\) | −2.97056 | −0.102801 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 36.6863 | 1.26806 | ||||||||
\(838\) | −44.2843 | −1.52977 | ||||||||
\(839\) | −6.20101 | −0.214083 | −0.107041 | − | 0.994255i | \(-0.534138\pi\) | ||||
−0.107041 | + | 0.994255i | \(0.534138\pi\) | |||||||
\(840\) | 5.65685 | 0.195180 | ||||||||
\(841\) | 17.6274 | 0.607842 | ||||||||
\(842\) | 37.4558 | 1.29081 | ||||||||
\(843\) | 5.89949 | 0.203189 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 47.5563 | 1.63599 | ||||||||
\(846\) | −15.6569 | −0.538294 | ||||||||
\(847\) | −12.3137 | −0.423104 | ||||||||
\(848\) | 53.2548 | 1.82878 | ||||||||
\(849\) | −10.1421 | −0.348077 | ||||||||
\(850\) | 28.2426 | 0.968715 | ||||||||
\(851\) | 31.1716 | 1.06855 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.68629 | −0.297413 | −0.148706 | − | 0.988881i | \(-0.547511\pi\) | ||||
−0.148706 | + | 0.988881i | \(0.547511\pi\) | |||||||
\(854\) | −18.1421 | −0.620811 | ||||||||
\(855\) | −9.41421 | −0.321959 | ||||||||
\(856\) | 24.0000 | 0.820303 | ||||||||
\(857\) | −15.3431 | −0.524112 | −0.262056 | − | 0.965053i | \(-0.584400\pi\) | ||||
−0.262056 | + | 0.965053i | \(0.584400\pi\) | |||||||
\(858\) | −65.9411 | −2.25119 | ||||||||
\(859\) | −34.7696 | −1.18632 | −0.593161 | − | 0.805084i | \(-0.702120\pi\) | ||||
−0.593161 | + | 0.805084i | \(0.702120\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −15.3137 | −0.521890 | ||||||||
\(862\) | −25.4558 | −0.867029 | ||||||||
\(863\) | 57.1127 | 1.94414 | 0.972069 | − | 0.234693i | \(-0.0754086\pi\) | ||||
0.972069 | + | 0.234693i | \(0.0754086\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.970563 | −0.0330001 | ||||||||
\(866\) | −53.6985 | −1.82475 | ||||||||
\(867\) | 38.6274 | 1.31186 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 26.4853 | 0.898452 | ||||||||
\(870\) | −19.3137 | −0.654796 | ||||||||
\(871\) | 9.17157 | 0.310767 | ||||||||
\(872\) | −18.3431 | −0.621177 | ||||||||
\(873\) | −10.2426 | −0.346661 | ||||||||
\(874\) | −29.8579 | −1.00996 | ||||||||
\(875\) | 11.3137 | 0.382473 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.34315 | 0.180425 | 0.0902126 | − | 0.995923i | \(-0.471245\pi\) | ||||
0.0902126 | + | 0.995923i | \(0.471245\pi\) | |||||||
\(878\) | 26.1421 | 0.882254 | ||||||||
\(879\) | −44.2843 | −1.49367 | ||||||||
\(880\) | 27.3137 | 0.920745 | ||||||||
\(881\) | 13.0711 | 0.440375 | 0.220188 | − | 0.975458i | \(-0.429333\pi\) | ||||
0.220188 | + | 0.975458i | \(0.429333\pi\) | |||||||
\(882\) | 8.48528 | 0.285714 | ||||||||
\(883\) | −41.4558 | −1.39510 | −0.697550 | − | 0.716536i | \(-0.745727\pi\) | ||||
−0.697550 | + | 0.716536i | \(0.745727\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.34315 | −0.213223 | ||||||||
\(886\) | −49.4558 | −1.66150 | ||||||||
\(887\) | −28.6569 | −0.962203 | −0.481101 | − | 0.876665i | \(-0.659763\pi\) | ||||
−0.481101 | + | 0.876665i | \(0.659763\pi\) | |||||||
\(888\) | 39.3137 | 1.31928 | ||||||||
\(889\) | 20.7990 | 0.697576 | ||||||||
\(890\) | −12.3431 | −0.413743 | ||||||||
\(891\) | 24.1421 | 0.808792 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 73.6985 | 2.46623 | ||||||||
\(894\) | −42.2843 | −1.41420 | ||||||||
\(895\) | −2.34315 | −0.0783227 | ||||||||
\(896\) | −11.3137 | −0.377964 | ||||||||
\(897\) | −30.6274 | −1.02262 | ||||||||
\(898\) | −56.6274 | −1.88968 | ||||||||
\(899\) | 44.2843 | 1.47696 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 88.6274 | 2.95261 | ||||||||
\(902\) | −73.9411 | −2.46197 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.62742 | −0.0873866 | ||||||||
\(905\) | 27.3137 | 0.907938 | ||||||||
\(906\) | −27.6569 | −0.918837 | ||||||||
\(907\) | −28.5269 | −0.947221 | −0.473610 | − | 0.880735i | \(-0.657049\pi\) | ||||
−0.473610 | + | 0.880735i | \(0.657049\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.17157 | −0.138362 | ||||||||
\(910\) | −13.6569 | −0.452720 | ||||||||
\(911\) | −52.3137 | −1.73323 | −0.866615 | − | 0.498977i | \(-0.833709\pi\) | ||||
−0.866615 | + | 0.498977i | \(0.833709\pi\) | |||||||
\(912\) | −37.6569 | −1.24694 | ||||||||
\(913\) | 53.7990 | 1.78049 | ||||||||
\(914\) | −34.8284 | −1.15202 | ||||||||
\(915\) | 25.6569 | 0.848189 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −17.4853 | −0.577415 | ||||||||
\(918\) | 53.2548 | 1.75767 | ||||||||
\(919\) | −49.2132 | −1.62339 | −0.811697 | − | 0.584079i | \(-0.801456\pi\) | ||||
−0.811697 | + | 0.584079i | \(0.801456\pi\) | |||||||
\(920\) | 12.6863 | 0.418255 | ||||||||
\(921\) | −3.79899 | −0.125181 | ||||||||
\(922\) | −17.4558 | −0.574878 | ||||||||
\(923\) | 40.9706 | 1.34856 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.4853 | 0.969470 | ||||||||
\(926\) | −38.4853 | −1.26470 | ||||||||
\(927\) | −3.48528 | −0.114472 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.00000 | −0.0984268 | −0.0492134 | − | 0.998788i | \(-0.515671\pi\) | ||||
−0.0492134 | + | 0.998788i | \(0.515671\pi\) | |||||||
\(930\) | −18.3431 | −0.601495 | ||||||||
\(931\) | −39.9411 | −1.30902 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 28.2426 | 0.924623 | ||||||||
\(934\) | 37.4558 | 1.22559 | ||||||||
\(935\) | 45.4558 | 1.48657 | ||||||||
\(936\) | 19.3137 | 0.631288 | ||||||||
\(937\) | −31.5147 | −1.02954 | −0.514770 | − | 0.857328i | \(-0.672123\pi\) | ||||
−0.514770 | + | 0.857328i | \(0.672123\pi\) | |||||||
\(938\) | −1.89949 | −0.0620207 | ||||||||
\(939\) | −19.0711 | −0.622361 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.2843 | −0.661248 | −0.330624 | − | 0.943763i | \(-0.607259\pi\) | ||||
−0.330624 | + | 0.943763i | \(0.607259\pi\) | |||||||
\(942\) | 14.6274 | 0.476587 | ||||||||
\(943\) | −34.3431 | −1.11837 | ||||||||
\(944\) | 12.6863 | 0.412904 | ||||||||
\(945\) | 8.00000 | 0.260240 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −56.1838 | −1.82573 | −0.912864 | − | 0.408265i | \(-0.866134\pi\) | ||||
−0.912864 | + | 0.408265i | \(0.866134\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.4853 | −0.664980 | ||||||||
\(950\) | −28.2426 | −0.916312 | ||||||||
\(951\) | 14.4853 | 0.469717 | ||||||||
\(952\) | −18.8284 | −0.610233 | ||||||||
\(953\) | −24.0416 | −0.778785 | −0.389392 | − | 0.921072i | \(-0.627315\pi\) | ||||
−0.389392 | + | 0.921072i | \(0.627315\pi\) | |||||||
\(954\) | 18.8284 | 0.609593 | ||||||||
\(955\) | 17.8995 | 0.579214 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 46.6274 | 1.50725 | ||||||||
\(958\) | −23.2721 | −0.751887 | ||||||||
\(959\) | 3.00000 | 0.0968751 | ||||||||
\(960\) | 16.0000 | 0.516398 | ||||||||
\(961\) | 11.0589 | 0.356738 | ||||||||
\(962\) | −94.9117 | −3.06008 | ||||||||
\(963\) | 8.48528 | 0.273434 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −17.4142 | −0.560583 | ||||||||
\(966\) | 6.34315 | 0.204087 | ||||||||
\(967\) | −20.7279 | −0.666565 | −0.333283 | − | 0.942827i | \(-0.608156\pi\) | ||||
−0.333283 | + | 0.942827i | \(0.608156\pi\) | |||||||
\(968\) | −34.8284 | −1.11943 | ||||||||
\(969\) | −62.6690 | −2.01322 | ||||||||
\(970\) | 20.4853 | 0.657743 | ||||||||
\(971\) | −24.6274 | −0.790331 | −0.395166 | − | 0.918610i | \(-0.629313\pi\) | ||||
−0.395166 | + | 0.918610i | \(0.629313\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.6569 | 0.501936 | ||||||||
\(974\) | 56.4853 | 1.80991 | ||||||||
\(975\) | −28.9706 | −0.927801 | ||||||||
\(976\) | −51.3137 | −1.64251 | ||||||||
\(977\) | −52.9706 | −1.69468 | −0.847339 | − | 0.531052i | \(-0.821797\pi\) | ||||
−0.847339 | + | 0.531052i | \(0.821797\pi\) | |||||||
\(978\) | −4.00000 | −0.127906 | ||||||||
\(979\) | 29.7990 | 0.952380 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.48528 | −0.207059 | ||||||||
\(982\) | −5.79899 | −0.185053 | ||||||||
\(983\) | −29.4853 | −0.940434 | −0.470217 | − | 0.882551i | \(-0.655824\pi\) | ||||
−0.470217 | + | 0.882551i | \(0.655824\pi\) | |||||||
\(984\) | −43.3137 | −1.38079 | ||||||||
\(985\) | 12.2426 | 0.390083 | ||||||||
\(986\) | 64.2843 | 2.04723 | ||||||||
\(987\) | −15.6569 | −0.498363 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 9.65685 | 0.306915 | ||||||||
\(991\) | 30.4558 | 0.967462 | 0.483731 | − | 0.875217i | \(-0.339281\pi\) | ||||
0.483731 | + | 0.875217i | \(0.339281\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 20.4853 | 0.650081 | ||||||||
\(994\) | −8.48528 | −0.269137 | ||||||||
\(995\) | 33.7990 | 1.07150 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.3848 | 1.02564 | 0.512818 | − | 0.858497i | \(-0.328602\pi\) | ||||
0.512818 | + | 0.858497i | \(0.328602\pi\) | |||||||
\(998\) | −35.8406 | −1.13452 | ||||||||
\(999\) | 55.5980 | 1.75904 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))