Newspace parameters
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.a (trivial) |
Newform invariants
Self dual: | yes |
Analytic conductor: | \(56.9958450655\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
Defining polynomial: |
\( x^{5} - x^{4} - 351x^{3} - 663x^{2} + 18451x - 19243 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-13.0148\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.1 |
$q$-expansion
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00000 | −0.707107 | ||||||||
\(3\) | −3.00000 | −0.577350 | ||||||||
\(4\) | 4.00000 | 0.500000 | ||||||||
\(5\) | −12.7819 | −1.14325 | −0.571623 | − | 0.820516i | \(-0.693686\pi\) | ||||
−0.571623 | + | 0.820516i | \(0.693686\pi\) | |||||||
\(6\) | 6.00000 | 0.408248 | ||||||||
\(7\) | −7.00000 | −0.377964 | ||||||||
\(8\) | −8.00000 | −0.353553 | ||||||||
\(9\) | 9.00000 | 0.333333 | ||||||||
\(10\) | 25.5638 | 0.808397 | ||||||||
\(11\) | −4.56319 | −0.125078 | −0.0625388 | − | 0.998043i | \(-0.519920\pi\) | ||||
−0.0625388 | + | 0.998043i | \(0.519920\pi\) | |||||||
\(12\) | −12.0000 | −0.288675 | ||||||||
\(13\) | −70.6646 | −1.50760 | −0.753801 | − | 0.657102i | \(-0.771782\pi\) | ||||
−0.753801 | + | 0.657102i | \(0.771782\pi\) | |||||||
\(14\) | 14.0000 | 0.267261 | ||||||||
\(15\) | 38.3456 | 0.660053 | ||||||||
\(16\) | 16.0000 | 0.250000 | ||||||||
\(17\) | −78.3781 | −1.11820 | −0.559102 | − | 0.829099i | \(-0.688854\pi\) | ||||
−0.559102 | + | 0.829099i | \(0.688854\pi\) | |||||||
\(18\) | −18.0000 | −0.235702 | ||||||||
\(19\) | −43.1688 | −0.521242 | −0.260621 | − | 0.965441i | \(-0.583927\pi\) | ||||
−0.260621 | + | 0.965441i | \(0.583927\pi\) | |||||||
\(20\) | −51.1275 | −0.571623 | ||||||||
\(21\) | 21.0000 | 0.218218 | ||||||||
\(22\) | 9.12638 | 0.0884432 | ||||||||
\(23\) | −23.0000 | −0.208514 | ||||||||
\(24\) | 24.0000 | 0.204124 | ||||||||
\(25\) | 38.3765 | 0.307012 | ||||||||
\(26\) | 141.329 | 1.06604 | ||||||||
\(27\) | −27.0000 | −0.192450 | ||||||||
\(28\) | −28.0000 | −0.188982 | ||||||||
\(29\) | 166.607 | 1.06684 | 0.533418 | − | 0.845852i | \(-0.320907\pi\) | ||||
0.533418 | + | 0.845852i | \(0.320907\pi\) | |||||||
\(30\) | −76.6913 | −0.466728 | ||||||||
\(31\) | −147.257 | −0.853167 | −0.426584 | − | 0.904448i | \(-0.640283\pi\) | ||||
−0.426584 | + | 0.904448i | \(0.640283\pi\) | |||||||
\(32\) | −32.0000 | −0.176777 | ||||||||
\(33\) | 13.6896 | 0.0722136 | ||||||||
\(34\) | 156.756 | 0.790690 | ||||||||
\(35\) | 89.4732 | 0.432106 | ||||||||
\(36\) | 36.0000 | 0.166667 | ||||||||
\(37\) | −363.445 | −1.61486 | −0.807432 | − | 0.589961i | \(-0.799143\pi\) | ||||
−0.807432 | + | 0.589961i | \(0.799143\pi\) | |||||||
\(38\) | 86.3375 | 0.368574 | ||||||||
\(39\) | 211.994 | 0.870415 | ||||||||
\(40\) | 102.255 | 0.404199 | ||||||||
\(41\) | −295.204 | −1.12447 | −0.562233 | − | 0.826979i | \(-0.690058\pi\) | ||||
−0.562233 | + | 0.826979i | \(0.690058\pi\) | |||||||
\(42\) | −42.0000 | −0.154303 | ||||||||
\(43\) | −456.253 | −1.61809 | −0.809046 | − | 0.587746i | \(-0.800015\pi\) | ||||
−0.809046 | + | 0.587746i | \(0.800015\pi\) | |||||||
\(44\) | −18.2528 | −0.0625388 | ||||||||
\(45\) | −115.037 | −0.381082 | ||||||||
\(46\) | 46.0000 | 0.147442 | ||||||||
\(47\) | −117.941 | −0.366031 | −0.183016 | − | 0.983110i | \(-0.558586\pi\) | ||||
−0.183016 | + | 0.983110i | \(0.558586\pi\) | |||||||
\(48\) | −48.0000 | −0.144338 | ||||||||
\(49\) | 49.0000 | 0.142857 | ||||||||
\(50\) | −76.7529 | −0.217090 | ||||||||
\(51\) | 235.134 | 0.645596 | ||||||||
\(52\) | −282.658 | −0.753801 | ||||||||
\(53\) | −221.354 | −0.573685 | −0.286842 | − | 0.957978i | \(-0.592606\pi\) | ||||
−0.286842 | + | 0.957978i | \(0.592606\pi\) | |||||||
\(54\) | 54.0000 | 0.136083 | ||||||||
\(55\) | 58.3262 | 0.142994 | ||||||||
\(56\) | 56.0000 | 0.133631 | ||||||||
\(57\) | 129.506 | 0.300939 | ||||||||
\(58\) | −333.215 | −0.754367 | ||||||||
\(59\) | −22.7176 | −0.0501284 | −0.0250642 | − | 0.999686i | \(-0.507979\pi\) | ||||
−0.0250642 | + | 0.999686i | \(0.507979\pi\) | |||||||
\(60\) | 153.383 | 0.330027 | ||||||||
\(61\) | −399.012 | −0.837512 | −0.418756 | − | 0.908099i | \(-0.637534\pi\) | ||||
−0.418756 | + | 0.908099i | \(0.637534\pi\) | |||||||
\(62\) | 294.514 | 0.603280 | ||||||||
\(63\) | −63.0000 | −0.125988 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 903.226 | 1.72356 | ||||||||
\(66\) | −27.3791 | −0.0510627 | ||||||||
\(67\) | 446.717 | 0.814555 | 0.407278 | − | 0.913304i | \(-0.366478\pi\) | ||||
0.407278 | + | 0.913304i | \(0.366478\pi\) | |||||||
\(68\) | −313.512 | −0.559102 | ||||||||
\(69\) | 69.0000 | 0.120386 | ||||||||
\(70\) | −178.946 | −0.305545 | ||||||||
\(71\) | 321.137 | 0.536788 | 0.268394 | − | 0.963309i | \(-0.413507\pi\) | ||||
0.268394 | + | 0.963309i | \(0.413507\pi\) | |||||||
\(72\) | −72.0000 | −0.117851 | ||||||||
\(73\) | −519.488 | −0.832897 | −0.416449 | − | 0.909159i | \(-0.636725\pi\) | ||||
−0.416449 | + | 0.909159i | \(0.636725\pi\) | |||||||
\(74\) | 726.889 | 1.14188 | ||||||||
\(75\) | −115.129 | −0.177253 | ||||||||
\(76\) | −172.675 | −0.260621 | ||||||||
\(77\) | 31.9423 | 0.0472749 | ||||||||
\(78\) | −423.988 | −0.615476 | ||||||||
\(79\) | 85.1065 | 0.121205 | 0.0606027 | − | 0.998162i | \(-0.480698\pi\) | ||||
0.0606027 | + | 0.998162i | \(0.480698\pi\) | |||||||
\(80\) | −204.510 | −0.285812 | ||||||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 590.408 | 0.795118 | ||||||||
\(83\) | −163.878 | −0.216723 | −0.108361 | − | 0.994112i | \(-0.534560\pi\) | ||||
−0.108361 | + | 0.994112i | \(0.534560\pi\) | |||||||
\(84\) | 84.0000 | 0.109109 | ||||||||
\(85\) | 1001.82 | 1.27838 | ||||||||
\(86\) | 912.506 | 1.14416 | ||||||||
\(87\) | −499.822 | −0.615938 | ||||||||
\(88\) | 36.5055 | 0.0442216 | ||||||||
\(89\) | −955.704 | −1.13825 | −0.569126 | − | 0.822251i | \(-0.692718\pi\) | ||||
−0.569126 | + | 0.822251i | \(0.692718\pi\) | |||||||
\(90\) | 230.074 | 0.269466 | ||||||||
\(91\) | 494.652 | 0.569820 | ||||||||
\(92\) | −92.0000 | −0.104257 | ||||||||
\(93\) | 441.772 | 0.492576 | ||||||||
\(94\) | 235.882 | 0.258823 | ||||||||
\(95\) | 551.778 | 0.595908 | ||||||||
\(96\) | 96.0000 | 0.102062 | ||||||||
\(97\) | −476.957 | −0.499255 | −0.249627 | − | 0.968342i | \(-0.580308\pi\) | ||||
−0.249627 | + | 0.968342i | \(0.580308\pi\) | |||||||
\(98\) | −98.0000 | −0.101015 | ||||||||
\(99\) | −41.0687 | −0.0416925 | ||||||||
\(100\) | 153.506 | 0.153506 | ||||||||
\(101\) | 1340.97 | 1.32110 | 0.660552 | − | 0.750780i | \(-0.270322\pi\) | ||||
0.660552 | + | 0.750780i | \(0.270322\pi\) | |||||||
\(102\) | −470.268 | −0.456505 | ||||||||
\(103\) | −1349.60 | −1.29107 | −0.645536 | − | 0.763730i | \(-0.723366\pi\) | ||||
−0.645536 | + | 0.763730i | \(0.723366\pi\) | |||||||
\(104\) | 565.317 | 0.533018 | ||||||||
\(105\) | −268.419 | −0.249477 | ||||||||
\(106\) | 442.708 | 0.405656 | ||||||||
\(107\) | 816.118 | 0.737356 | 0.368678 | − | 0.929557i | \(-0.379810\pi\) | ||||
0.368678 | + | 0.929557i | \(0.379810\pi\) | |||||||
\(108\) | −108.000 | −0.0962250 | ||||||||
\(109\) | −793.928 | −0.697656 | −0.348828 | − | 0.937187i | \(-0.613420\pi\) | ||||
−0.348828 | + | 0.937187i | \(0.613420\pi\) | |||||||
\(110\) | −116.652 | −0.101112 | ||||||||
\(111\) | 1090.33 | 0.932342 | ||||||||
\(112\) | −112.000 | −0.0944911 | ||||||||
\(113\) | −756.248 | −0.629574 | −0.314787 | − | 0.949162i | \(-0.601933\pi\) | ||||
−0.314787 | + | 0.949162i | \(0.601933\pi\) | |||||||
\(114\) | −259.013 | −0.212796 | ||||||||
\(115\) | 293.983 | 0.238383 | ||||||||
\(116\) | 666.430 | 0.533418 | ||||||||
\(117\) | −635.981 | −0.502534 | ||||||||
\(118\) | 45.4351 | 0.0354461 | ||||||||
\(119\) | 548.647 | 0.422642 | ||||||||
\(120\) | −306.765 | −0.233364 | ||||||||
\(121\) | −1310.18 | −0.984356 | ||||||||
\(122\) | 798.024 | 0.592211 | ||||||||
\(123\) | 885.612 | 0.649211 | ||||||||
\(124\) | −589.029 | −0.426584 | ||||||||
\(125\) | 1107.21 | 0.792256 | ||||||||
\(126\) | 126.000 | 0.0890871 | ||||||||
\(127\) | 250.192 | 0.174811 | 0.0874053 | − | 0.996173i | \(-0.472142\pi\) | ||||
0.0874053 | + | 0.996173i | \(0.472142\pi\) | |||||||
\(128\) | −128.000 | −0.0883883 | ||||||||
\(129\) | 1368.76 | 0.934205 | ||||||||
\(130\) | −1806.45 | −1.21874 | ||||||||
\(131\) | 1623.93 | 1.08308 | 0.541541 | − | 0.840675i | \(-0.317841\pi\) | ||||
0.541541 | + | 0.840675i | \(0.317841\pi\) | |||||||
\(132\) | 54.7583 | 0.0361068 | ||||||||
\(133\) | 302.181 | 0.197011 | ||||||||
\(134\) | −893.434 | −0.575977 | ||||||||
\(135\) | 345.111 | 0.220018 | ||||||||
\(136\) | 627.025 | 0.395345 | ||||||||
\(137\) | 1110.52 | 0.692539 | 0.346270 | − | 0.938135i | \(-0.387448\pi\) | ||||
0.346270 | + | 0.938135i | \(0.387448\pi\) | |||||||
\(138\) | −138.000 | −0.0851257 | ||||||||
\(139\) | −352.003 | −0.214795 | −0.107398 | − | 0.994216i | \(-0.534252\pi\) | ||||
−0.107398 | + | 0.994216i | \(0.534252\pi\) | |||||||
\(140\) | 357.893 | 0.216053 | ||||||||
\(141\) | 353.823 | 0.211328 | ||||||||
\(142\) | −642.274 | −0.379566 | ||||||||
\(143\) | 322.456 | 0.188567 | ||||||||
\(144\) | 144.000 | 0.0833333 | ||||||||
\(145\) | −2129.56 | −1.21966 | ||||||||
\(146\) | 1038.98 | 0.588947 | ||||||||
\(147\) | −147.000 | −0.0824786 | ||||||||
\(148\) | −1453.78 | −0.807432 | ||||||||
\(149\) | 552.442 | 0.303744 | 0.151872 | − | 0.988400i | \(-0.451470\pi\) | ||||
0.151872 | + | 0.988400i | \(0.451470\pi\) | |||||||
\(150\) | 230.259 | 0.125337 | ||||||||
\(151\) | 2159.00 | 1.16356 | 0.581779 | − | 0.813347i | \(-0.302357\pi\) | ||||
0.581779 | + | 0.813347i | \(0.302357\pi\) | |||||||
\(152\) | 345.350 | 0.184287 | ||||||||
\(153\) | −705.403 | −0.372735 | ||||||||
\(154\) | −63.8847 | −0.0334284 | ||||||||
\(155\) | 1882.22 | 0.975380 | ||||||||
\(156\) | 847.975 | 0.435207 | ||||||||
\(157\) | 1335.03 | 0.678643 | 0.339321 | − | 0.940670i | \(-0.389803\pi\) | ||||
0.339321 | + | 0.940670i | \(0.389803\pi\) | |||||||
\(158\) | −170.213 | −0.0857052 | ||||||||
\(159\) | 664.062 | 0.331217 | ||||||||
\(160\) | 409.020 | 0.202099 | ||||||||
\(161\) | 161.000 | 0.0788110 | ||||||||
\(162\) | −162.000 | −0.0785674 | ||||||||
\(163\) | 1555.57 | 0.747493 | 0.373747 | − | 0.927531i | \(-0.378073\pi\) | ||||
0.373747 | + | 0.927531i | \(0.378073\pi\) | |||||||
\(164\) | −1180.82 | −0.562233 | ||||||||
\(165\) | −174.978 | −0.0825579 | ||||||||
\(166\) | 327.757 | 0.153246 | ||||||||
\(167\) | −2422.61 | −1.12256 | −0.561279 | − | 0.827627i | \(-0.689690\pi\) | ||||
−0.561279 | + | 0.827627i | \(0.689690\pi\) | |||||||
\(168\) | −168.000 | −0.0771517 | ||||||||
\(169\) | 2796.49 | 1.27287 | ||||||||
\(170\) | −2003.64 | −0.903953 | ||||||||
\(171\) | −388.519 | −0.173747 | ||||||||
\(172\) | −1825.01 | −0.809046 | ||||||||
\(173\) | 1552.30 | 0.682193 | 0.341096 | − | 0.940028i | \(-0.389202\pi\) | ||||
0.341096 | + | 0.940028i | \(0.389202\pi\) | |||||||
\(174\) | 999.645 | 0.435534 | ||||||||
\(175\) | −268.635 | −0.116039 | ||||||||
\(176\) | −73.0110 | −0.0312694 | ||||||||
\(177\) | 68.1527 | 0.0289416 | ||||||||
\(178\) | 1911.41 | 0.804865 | ||||||||
\(179\) | 3121.09 | 1.30325 | 0.651624 | − | 0.758542i | \(-0.274088\pi\) | ||||
0.651624 | + | 0.758542i | \(0.274088\pi\) | |||||||
\(180\) | −460.148 | −0.190541 | ||||||||
\(181\) | −808.858 | −0.332166 | −0.166083 | − | 0.986112i | \(-0.553112\pi\) | ||||
−0.166083 | + | 0.986112i | \(0.553112\pi\) | |||||||
\(182\) | −989.304 | −0.402924 | ||||||||
\(183\) | 1197.04 | 0.483538 | ||||||||
\(184\) | 184.000 | 0.0737210 | ||||||||
\(185\) | 4645.51 | 1.84619 | ||||||||
\(186\) | −883.543 | −0.348304 | ||||||||
\(187\) | 357.654 | 0.139862 | ||||||||
\(188\) | −471.764 | −0.183016 | ||||||||
\(189\) | 189.000 | 0.0727393 | ||||||||
\(190\) | −1103.56 | −0.421370 | ||||||||
\(191\) | −2975.03 | −1.12705 | −0.563523 | − | 0.826100i | \(-0.690555\pi\) | ||||
−0.563523 | + | 0.826100i | \(0.690555\pi\) | |||||||
\(192\) | −192.000 | −0.0721688 | ||||||||
\(193\) | 950.504 | 0.354501 | 0.177251 | − | 0.984166i | \(-0.443280\pi\) | ||||
0.177251 | + | 0.984166i | \(0.443280\pi\) | |||||||
\(194\) | 953.915 | 0.353026 | ||||||||
\(195\) | −2709.68 | −0.995098 | ||||||||
\(196\) | 196.000 | 0.0714286 | ||||||||
\(197\) | −1721.87 | −0.622731 | −0.311366 | − | 0.950290i | \(-0.600786\pi\) | ||||
−0.311366 | + | 0.950290i | \(0.600786\pi\) | |||||||
\(198\) | 82.1374 | 0.0294811 | ||||||||
\(199\) | 2116.67 | 0.754004 | 0.377002 | − | 0.926212i | \(-0.376955\pi\) | ||||
0.377002 | + | 0.926212i | \(0.376955\pi\) | |||||||
\(200\) | −307.012 | −0.108545 | ||||||||
\(201\) | −1340.15 | −0.470284 | ||||||||
\(202\) | −2681.94 | −0.934161 | ||||||||
\(203\) | −1166.25 | −0.403226 | ||||||||
\(204\) | 940.537 | 0.322798 | ||||||||
\(205\) | 3773.26 | 1.28554 | ||||||||
\(206\) | 2699.21 | 0.912926 | ||||||||
\(207\) | −207.000 | −0.0695048 | ||||||||
\(208\) | −1130.63 | −0.376901 | ||||||||
\(209\) | 196.987 | 0.0651957 | ||||||||
\(210\) | 536.839 | 0.176407 | ||||||||
\(211\) | −872.114 | −0.284544 | −0.142272 | − | 0.989828i | \(-0.545441\pi\) | ||||
−0.142272 | + | 0.989828i | \(0.545441\pi\) | |||||||
\(212\) | −885.415 | −0.286842 | ||||||||
\(213\) | −963.411 | −0.309915 | ||||||||
\(214\) | −1632.24 | −0.521390 | ||||||||
\(215\) | 5831.77 | 1.84988 | ||||||||
\(216\) | 216.000 | 0.0680414 | ||||||||
\(217\) | 1030.80 | 0.322467 | ||||||||
\(218\) | 1587.86 | 0.493317 | ||||||||
\(219\) | 1558.46 | 0.480874 | ||||||||
\(220\) | 233.305 | 0.0714972 | ||||||||
\(221\) | 5538.56 | 1.68581 | ||||||||
\(222\) | −2180.67 | −0.659265 | ||||||||
\(223\) | 2471.17 | 0.742070 | 0.371035 | − | 0.928619i | \(-0.379003\pi\) | ||||
0.371035 | + | 0.928619i | \(0.379003\pi\) | |||||||
\(224\) | 224.000 | 0.0668153 | ||||||||
\(225\) | 345.388 | 0.102337 | ||||||||
\(226\) | 1512.50 | 0.445176 | ||||||||
\(227\) | 2923.30 | 0.854742 | 0.427371 | − | 0.904076i | \(-0.359440\pi\) | ||||
0.427371 | + | 0.904076i | \(0.359440\pi\) | |||||||
\(228\) | 518.025 | 0.150470 | ||||||||
\(229\) | 5006.00 | 1.44457 | 0.722284 | − | 0.691597i | \(-0.243092\pi\) | ||||
0.722284 | + | 0.691597i | \(0.243092\pi\) | |||||||
\(230\) | −587.966 | −0.168562 | ||||||||
\(231\) | −95.8270 | −0.0272942 | ||||||||
\(232\) | −1332.86 | −0.377183 | ||||||||
\(233\) | 2162.09 | 0.607910 | 0.303955 | − | 0.952686i | \(-0.401693\pi\) | ||||
0.303955 | + | 0.952686i | \(0.401693\pi\) | |||||||
\(234\) | 1271.96 | 0.355345 | ||||||||
\(235\) | 1507.51 | 0.418464 | ||||||||
\(236\) | −90.8702 | −0.0250642 | ||||||||
\(237\) | −255.319 | −0.0699780 | ||||||||
\(238\) | −1097.29 | −0.298853 | ||||||||
\(239\) | −2815.63 | −0.762041 | −0.381021 | − | 0.924567i | \(-0.624427\pi\) | ||||
−0.381021 | + | 0.924567i | \(0.624427\pi\) | |||||||
\(240\) | 613.530 | 0.165013 | ||||||||
\(241\) | 5516.45 | 1.47446 | 0.737231 | − | 0.675640i | \(-0.236133\pi\) | ||||
0.737231 | + | 0.675640i | \(0.236133\pi\) | |||||||
\(242\) | 2620.35 | 0.696045 | ||||||||
\(243\) | −243.000 | −0.0641500 | ||||||||
\(244\) | −1596.05 | −0.418756 | ||||||||
\(245\) | −626.312 | −0.163321 | ||||||||
\(246\) | −1771.22 | −0.459062 | ||||||||
\(247\) | 3050.50 | 0.785825 | ||||||||
\(248\) | 1178.06 | 0.301640 | ||||||||
\(249\) | 491.635 | 0.125125 | ||||||||
\(250\) | −2214.42 | −0.560210 | ||||||||
\(251\) | −5526.99 | −1.38988 | −0.694941 | − | 0.719067i | \(-0.744570\pi\) | ||||
−0.694941 | + | 0.719067i | \(0.744570\pi\) | |||||||
\(252\) | −252.000 | −0.0629941 | ||||||||
\(253\) | 104.953 | 0.0260805 | ||||||||
\(254\) | −500.384 | −0.123610 | ||||||||
\(255\) | −3005.46 | −0.738075 | ||||||||
\(256\) | 256.000 | 0.0625000 | ||||||||
\(257\) | 3872.51 | 0.939925 | 0.469962 | − | 0.882686i | \(-0.344267\pi\) | ||||
0.469962 | + | 0.882686i | \(0.344267\pi\) | |||||||
\(258\) | −2737.52 | −0.660583 | ||||||||
\(259\) | 2544.11 | 0.610361 | ||||||||
\(260\) | 3612.91 | 0.861780 | ||||||||
\(261\) | 1499.47 | 0.355612 | ||||||||
\(262\) | −3247.86 | −0.765854 | ||||||||
\(263\) | −2293.87 | −0.537817 | −0.268908 | − | 0.963166i | \(-0.586663\pi\) | ||||
−0.268908 | + | 0.963166i | \(0.586663\pi\) | |||||||
\(264\) | −109.517 | −0.0255314 | ||||||||
\(265\) | 2829.32 | 0.655863 | ||||||||
\(266\) | −604.363 | −0.139308 | ||||||||
\(267\) | 2867.11 | 0.657170 | ||||||||
\(268\) | 1786.87 | 0.407278 | ||||||||
\(269\) | −1112.28 | −0.252108 | −0.126054 | − | 0.992023i | \(-0.540231\pi\) | ||||
−0.126054 | + | 0.992023i | \(0.540231\pi\) | |||||||
\(270\) | −690.222 | −0.155576 | ||||||||
\(271\) | −6593.76 | −1.47802 | −0.739009 | − | 0.673696i | \(-0.764706\pi\) | ||||
−0.739009 | + | 0.673696i | \(0.764706\pi\) | |||||||
\(272\) | −1254.05 | −0.279551 | ||||||||
\(273\) | −1483.96 | −0.328986 | ||||||||
\(274\) | −2221.03 | −0.489699 | ||||||||
\(275\) | −175.119 | −0.0384003 | ||||||||
\(276\) | 276.000 | 0.0601929 | ||||||||
\(277\) | −7047.11 | −1.52859 | −0.764296 | − | 0.644865i | \(-0.776913\pi\) | ||||
−0.764296 | + | 0.644865i | \(0.776913\pi\) | |||||||
\(278\) | 704.006 | 0.151883 | ||||||||
\(279\) | −1325.32 | −0.284389 | ||||||||
\(280\) | −715.785 | −0.152773 | ||||||||
\(281\) | −1606.77 | −0.341110 | −0.170555 | − | 0.985348i | \(-0.554556\pi\) | ||||
−0.170555 | + | 0.985348i | \(0.554556\pi\) | |||||||
\(282\) | −707.647 | −0.149432 | ||||||||
\(283\) | −7435.54 | −1.56183 | −0.780913 | − | 0.624640i | \(-0.785246\pi\) | ||||
−0.780913 | + | 0.624640i | \(0.785246\pi\) | |||||||
\(284\) | 1284.55 | 0.268394 | ||||||||
\(285\) | −1655.33 | −0.344047 | ||||||||
\(286\) | −644.912 | −0.133337 | ||||||||
\(287\) | 2066.43 | 0.425008 | ||||||||
\(288\) | −288.000 | −0.0589256 | ||||||||
\(289\) | 1230.12 | 0.250381 | ||||||||
\(290\) | 4259.11 | 0.862427 | ||||||||
\(291\) | 1430.87 | 0.288245 | ||||||||
\(292\) | −2077.95 | −0.416449 | ||||||||
\(293\) | −984.078 | −0.196213 | −0.0981066 | − | 0.995176i | \(-0.531279\pi\) | ||||
−0.0981066 | + | 0.995176i | \(0.531279\pi\) | |||||||
\(294\) | 294.000 | 0.0583212 | ||||||||
\(295\) | 290.373 | 0.0573091 | ||||||||
\(296\) | 2907.56 | 0.570940 | ||||||||
\(297\) | 123.206 | 0.0240712 | ||||||||
\(298\) | −1104.88 | −0.214779 | ||||||||
\(299\) | 1625.29 | 0.314357 | ||||||||
\(300\) | −460.517 | −0.0886266 | ||||||||
\(301\) | 3193.77 | 0.611581 | ||||||||
\(302\) | −4318.01 | −0.822760 | ||||||||
\(303\) | −4022.91 | −0.762740 | ||||||||
\(304\) | −690.700 | −0.130310 | ||||||||
\(305\) | 5100.12 | 0.957483 | ||||||||
\(306\) | 1410.81 | 0.263563 | ||||||||
\(307\) | −7577.17 | −1.40864 | −0.704319 | − | 0.709883i | \(-0.748748\pi\) | ||||
−0.704319 | + | 0.709883i | \(0.748748\pi\) | |||||||
\(308\) | 127.769 | 0.0236374 | ||||||||
\(309\) | 4048.81 | 0.745401 | ||||||||
\(310\) | −3764.45 | −0.689698 | ||||||||
\(311\) | −2223.18 | −0.405353 | −0.202677 | − | 0.979246i | \(-0.564964\pi\) | ||||
−0.202677 | + | 0.979246i | \(0.564964\pi\) | |||||||
\(312\) | −1695.95 | −0.307738 | ||||||||
\(313\) | −3421.67 | −0.617904 | −0.308952 | − | 0.951078i | \(-0.599978\pi\) | ||||
−0.308952 | + | 0.951078i | \(0.599978\pi\) | |||||||
\(314\) | −2670.06 | −0.479873 | ||||||||
\(315\) | 805.258 | 0.144035 | ||||||||
\(316\) | 340.426 | 0.0606027 | ||||||||
\(317\) | −1190.22 | −0.210882 | −0.105441 | − | 0.994426i | \(-0.533625\pi\) | ||||
−0.105441 | + | 0.994426i | \(0.533625\pi\) | |||||||
\(318\) | −1328.12 | −0.234206 | ||||||||
\(319\) | −760.262 | −0.133437 | ||||||||
\(320\) | −818.040 | −0.142906 | ||||||||
\(321\) | −2448.35 | −0.425713 | ||||||||
\(322\) | −322.000 | −0.0557278 | ||||||||
\(323\) | 3383.48 | 0.582855 | ||||||||
\(324\) | 324.000 | 0.0555556 | ||||||||
\(325\) | −2711.86 | −0.462852 | ||||||||
\(326\) | −3111.13 | −0.528557 | ||||||||
\(327\) | 2381.78 | 0.402792 | ||||||||
\(328\) | 2361.63 | 0.397559 | ||||||||
\(329\) | 825.588 | 0.138347 | ||||||||
\(330\) | 349.957 | 0.0583773 | ||||||||
\(331\) | −7499.16 | −1.24529 | −0.622645 | − | 0.782504i | \(-0.713942\pi\) | ||||
−0.622645 | + | 0.782504i | \(0.713942\pi\) | |||||||
\(332\) | −655.513 | −0.108361 | ||||||||
\(333\) | −3271.00 | −0.538288 | ||||||||
\(334\) | 4845.22 | 0.793768 | ||||||||
\(335\) | −5709.89 | −0.931237 | ||||||||
\(336\) | 336.000 | 0.0545545 | ||||||||
\(337\) | 3476.33 | 0.561922 | 0.280961 | − | 0.959719i | \(-0.409347\pi\) | ||||
0.280961 | + | 0.959719i | \(0.409347\pi\) | |||||||
\(338\) | −5592.97 | −0.900052 | ||||||||
\(339\) | 2268.74 | 0.363485 | ||||||||
\(340\) | 4007.28 | 0.639191 | ||||||||
\(341\) | 671.963 | 0.106712 | ||||||||
\(342\) | 777.038 | 0.122858 | ||||||||
\(343\) | −343.000 | −0.0539949 | ||||||||
\(344\) | 3650.02 | 0.572082 | ||||||||
\(345\) | −881.950 | −0.137631 | ||||||||
\(346\) | −3104.60 | −0.482383 | ||||||||
\(347\) | 7365.59 | 1.13950 | 0.569749 | − | 0.821819i | \(-0.307041\pi\) | ||||
0.569749 | + | 0.821819i | \(0.307041\pi\) | |||||||
\(348\) | −1999.29 | −0.307969 | ||||||||
\(349\) | −4338.06 | −0.665361 | −0.332680 | − | 0.943040i | \(-0.607953\pi\) | ||||
−0.332680 | + | 0.943040i | \(0.607953\pi\) | |||||||
\(350\) | 537.270 | 0.0820523 | ||||||||
\(351\) | 1907.94 | 0.290138 | ||||||||
\(352\) | 146.022 | 0.0221108 | ||||||||
\(353\) | 1473.91 | 0.222233 | 0.111117 | − | 0.993807i | \(-0.464557\pi\) | ||||
0.111117 | + | 0.993807i | \(0.464557\pi\) | |||||||
\(354\) | −136.305 | −0.0204648 | ||||||||
\(355\) | −4104.73 | −0.613681 | ||||||||
\(356\) | −3822.81 | −0.569126 | ||||||||
\(357\) | −1645.94 | −0.244012 | ||||||||
\(358\) | −6242.18 | −0.921535 | ||||||||
\(359\) | 1733.26 | 0.254813 | 0.127406 | − | 0.991851i | \(-0.459335\pi\) | ||||
0.127406 | + | 0.991851i | \(0.459335\pi\) | |||||||
\(360\) | 920.295 | 0.134733 | ||||||||
\(361\) | −4995.46 | −0.728307 | ||||||||
\(362\) | 1617.72 | 0.234876 | ||||||||
\(363\) | 3930.53 | 0.568318 | ||||||||
\(364\) | 1978.61 | 0.284910 | ||||||||
\(365\) | 6640.04 | 0.952207 | ||||||||
\(366\) | −2394.07 | −0.341913 | ||||||||
\(367\) | 3146.54 | 0.447543 | 0.223771 | − | 0.974642i | \(-0.428163\pi\) | ||||
0.223771 | + | 0.974642i | \(0.428163\pi\) | |||||||
\(368\) | −368.000 | −0.0521286 | ||||||||
\(369\) | −2656.84 | −0.374822 | ||||||||
\(370\) | −9291.01 | −1.30545 | ||||||||
\(371\) | 1549.48 | 0.216832 | ||||||||
\(372\) | 1767.09 | 0.246288 | ||||||||
\(373\) | 10403.0 | 1.44409 | 0.722043 | − | 0.691848i | \(-0.243203\pi\) | ||||
0.722043 | + | 0.691848i | \(0.243203\pi\) | |||||||
\(374\) | −715.308 | −0.0988976 | ||||||||
\(375\) | −3321.64 | −0.457409 | ||||||||
\(376\) | 943.529 | 0.129412 | ||||||||
\(377\) | −11773.2 | −1.60836 | ||||||||
\(378\) | −378.000 | −0.0514344 | ||||||||
\(379\) | −5985.36 | −0.811207 | −0.405604 | − | 0.914049i | \(-0.632939\pi\) | ||||
−0.405604 | + | 0.914049i | \(0.632939\pi\) | |||||||
\(380\) | 2207.11 | 0.297954 | ||||||||
\(381\) | −750.576 | −0.100927 | ||||||||
\(382\) | 5950.07 | 0.796942 | ||||||||
\(383\) | −2885.03 | −0.384904 | −0.192452 | − | 0.981306i | \(-0.561644\pi\) | ||||
−0.192452 | + | 0.981306i | \(0.561644\pi\) | |||||||
\(384\) | 384.000 | 0.0510310 | ||||||||
\(385\) | −408.283 | −0.0540468 | ||||||||
\(386\) | −1901.01 | −0.250670 | ||||||||
\(387\) | −4106.28 | −0.539364 | ||||||||
\(388\) | −1907.83 | −0.249627 | ||||||||
\(389\) | 11285.6 | 1.47095 | 0.735476 | − | 0.677551i | \(-0.236959\pi\) | ||||
0.735476 | + | 0.677551i | \(0.236959\pi\) | |||||||
\(390\) | 5419.36 | 0.703641 | ||||||||
\(391\) | 1802.70 | 0.233162 | ||||||||
\(392\) | −392.000 | −0.0505076 | ||||||||
\(393\) | −4871.80 | −0.625317 | ||||||||
\(394\) | 3443.74 | 0.440338 | ||||||||
\(395\) | −1087.82 | −0.138568 | ||||||||
\(396\) | −164.275 | −0.0208463 | ||||||||
\(397\) | −2475.74 | −0.312982 | −0.156491 | − | 0.987679i | \(-0.550018\pi\) | ||||
−0.156491 | + | 0.987679i | \(0.550018\pi\) | |||||||
\(398\) | −4233.34 | −0.533161 | ||||||||
\(399\) | −906.544 | −0.113744 | ||||||||
\(400\) | 614.023 | 0.0767529 | ||||||||
\(401\) | −7899.41 | −0.983734 | −0.491867 | − | 0.870670i | \(-0.663685\pi\) | ||||
−0.491867 | + | 0.870670i | \(0.663685\pi\) | |||||||
\(402\) | 2680.30 | 0.332541 | ||||||||
\(403\) | 10405.9 | 1.28624 | ||||||||
\(404\) | 5363.88 | 0.660552 | ||||||||
\(405\) | −1035.33 | −0.127027 | ||||||||
\(406\) | 2332.50 | 0.285124 | ||||||||
\(407\) | 1658.47 | 0.201983 | ||||||||
\(408\) | −1881.07 | −0.228253 | ||||||||
\(409\) | −11771.3 | −1.42311 | −0.711554 | − | 0.702631i | \(-0.752008\pi\) | ||||
−0.711554 | + | 0.702631i | \(0.752008\pi\) | |||||||
\(410\) | −7546.53 | −0.909016 | ||||||||
\(411\) | −3331.55 | −0.399838 | ||||||||
\(412\) | −5398.42 | −0.645536 | ||||||||
\(413\) | 159.023 | 0.0189467 | ||||||||
\(414\) | 414.000 | 0.0491473 | ||||||||
\(415\) | 2094.67 | 0.247767 | ||||||||
\(416\) | 2261.27 | 0.266509 | ||||||||
\(417\) | 1056.01 | 0.124012 | ||||||||
\(418\) | −393.975 | −0.0461003 | ||||||||
\(419\) | −1052.14 | −0.122674 | −0.0613370 | − | 0.998117i | \(-0.519536\pi\) | ||||
−0.0613370 | + | 0.998117i | \(0.519536\pi\) | |||||||
\(420\) | −1073.68 | −0.124738 | ||||||||
\(421\) | −10346.9 | −1.19780 | −0.598902 | − | 0.800823i | \(-0.704396\pi\) | ||||
−0.598902 | + | 0.800823i | \(0.704396\pi\) | |||||||
\(422\) | 1744.23 | 0.201203 | ||||||||
\(423\) | −1061.47 | −0.122010 | ||||||||
\(424\) | 1770.83 | 0.202828 | ||||||||
\(425\) | −3007.87 | −0.343302 | ||||||||
\(426\) | 1926.82 | 0.219143 | ||||||||
\(427\) | 2793.08 | 0.316550 | ||||||||
\(428\) | 3264.47 | 0.368678 | ||||||||
\(429\) | −967.368 | −0.108869 | ||||||||
\(430\) | −11663.5 | −1.30806 | ||||||||
\(431\) | 5904.08 | 0.659836 | 0.329918 | − | 0.944010i | \(-0.392979\pi\) | ||||
0.329918 | + | 0.944010i | \(0.392979\pi\) | |||||||
\(432\) | −432.000 | −0.0481125 | ||||||||
\(433\) | −8543.55 | −0.948214 | −0.474107 | − | 0.880467i | \(-0.657229\pi\) | ||||
−0.474107 | + | 0.880467i | \(0.657229\pi\) | |||||||
\(434\) | −2061.60 | −0.228019 | ||||||||
\(435\) | 6388.67 | 0.704168 | ||||||||
\(436\) | −3175.71 | −0.348828 | ||||||||
\(437\) | 992.881 | 0.108686 | ||||||||
\(438\) | −3116.93 | −0.340029 | ||||||||
\(439\) | 17210.9 | 1.87114 | 0.935572 | − | 0.353135i | \(-0.114884\pi\) | ||||
0.935572 | + | 0.353135i | \(0.114884\pi\) | |||||||
\(440\) | −466.609 | −0.0505562 | ||||||||
\(441\) | 441.000 | 0.0476190 | ||||||||
\(442\) | −11077.1 | −1.19205 | ||||||||
\(443\) | −11853.5 | −1.27128 | −0.635642 | − | 0.771984i | \(-0.719265\pi\) | ||||
−0.635642 | + | 0.771984i | \(0.719265\pi\) | |||||||
\(444\) | 4361.34 | 0.466171 | ||||||||
\(445\) | 12215.7 | 1.30130 | ||||||||
\(446\) | −4942.34 | −0.524723 | ||||||||
\(447\) | −1657.33 | −0.175367 | ||||||||
\(448\) | −448.000 | −0.0472456 | ||||||||
\(449\) | −13335.0 | −1.40160 | −0.700799 | − | 0.713359i | \(-0.747173\pi\) | ||||
−0.700799 | + | 0.713359i | \(0.747173\pi\) | |||||||
\(450\) | −690.776 | −0.0723633 | ||||||||
\(451\) | 1347.07 | 0.140646 | ||||||||
\(452\) | −3024.99 | −0.314787 | ||||||||
\(453\) | −6477.01 | −0.671781 | ||||||||
\(454\) | −5846.61 | −0.604394 | ||||||||
\(455\) | −6322.58 | −0.651445 | ||||||||
\(456\) | −1036.05 | −0.106398 | ||||||||
\(457\) | −16084.7 | −1.64642 | −0.823208 | − | 0.567740i | \(-0.807818\pi\) | ||||
−0.823208 | + | 0.567740i | \(0.807818\pi\) | |||||||
\(458\) | −10012.0 | −1.02146 | ||||||||
\(459\) | 2116.21 | 0.215199 | ||||||||
\(460\) | 1175.93 | 0.119192 | ||||||||
\(461\) | 4358.86 | 0.440374 | 0.220187 | − | 0.975458i | \(-0.429333\pi\) | ||||
0.220187 | + | 0.975458i | \(0.429333\pi\) | |||||||
\(462\) | 191.654 | 0.0192999 | ||||||||
\(463\) | 521.026 | 0.0522984 | 0.0261492 | − | 0.999658i | \(-0.491676\pi\) | ||||
0.0261492 | + | 0.999658i | \(0.491676\pi\) | |||||||
\(464\) | 2665.72 | 0.266709 | ||||||||
\(465\) | −5646.67 | −0.563136 | ||||||||
\(466\) | −4324.18 | −0.429857 | ||||||||
\(467\) | 76.1495 | 0.00754556 | 0.00377278 | − | 0.999993i | \(-0.498799\pi\) | ||||
0.00377278 | + | 0.999993i | \(0.498799\pi\) | |||||||
\(468\) | −2543.93 | −0.251267 | ||||||||
\(469\) | −3127.02 | −0.307873 | ||||||||
\(470\) | −3015.02 | −0.295899 | ||||||||
\(471\) | −4005.09 | −0.391815 | ||||||||
\(472\) | 181.740 | 0.0177231 | ||||||||
\(473\) | 2081.97 | 0.202387 | ||||||||
\(474\) | 510.639 | 0.0494819 | ||||||||
\(475\) | −1656.66 | −0.160027 | ||||||||
\(476\) | 2194.59 | 0.211321 | ||||||||
\(477\) | −1992.18 | −0.191228 | ||||||||
\(478\) | 5631.26 | 0.538845 | ||||||||
\(479\) | −16679.8 | −1.59106 | −0.795532 | − | 0.605911i | \(-0.792809\pi\) | ||||
−0.795532 | + | 0.605911i | \(0.792809\pi\) | |||||||
\(480\) | −1227.06 | −0.116682 | ||||||||
\(481\) | 25682.7 | 2.43457 | ||||||||
\(482\) | −11032.9 | −1.04260 | ||||||||
\(483\) | −483.000 | −0.0455016 | ||||||||
\(484\) | −5240.71 | −0.492178 | ||||||||
\(485\) | 6096.41 | 0.570771 | ||||||||
\(486\) | 486.000 | 0.0453609 | ||||||||
\(487\) | −12398.8 | −1.15368 | −0.576839 | − | 0.816858i | \(-0.695714\pi\) | ||||
−0.576839 | + | 0.816858i | \(0.695714\pi\) | |||||||
\(488\) | 3192.10 | 0.296105 | ||||||||
\(489\) | −4666.70 | −0.431565 | ||||||||
\(490\) | 1252.62 | 0.115485 | ||||||||
\(491\) | 14269.3 | 1.31154 | 0.655770 | − | 0.754960i | \(-0.272344\pi\) | ||||
0.655770 | + | 0.754960i | \(0.272344\pi\) | |||||||
\(492\) | 3542.45 | 0.324606 | ||||||||
\(493\) | −13058.4 | −1.19294 | ||||||||
\(494\) | −6101.01 | −0.555662 | ||||||||
\(495\) | 524.935 | 0.0476648 | ||||||||
\(496\) | −2356.12 | −0.213292 | ||||||||
\(497\) | −2247.96 | −0.202887 | ||||||||
\(498\) | −983.270 | −0.0884767 | ||||||||
\(499\) | −11324.5 | −1.01594 | −0.507970 | − | 0.861375i | \(-0.669604\pi\) | ||||
−0.507970 | + | 0.861375i | \(0.669604\pi\) | |||||||
\(500\) | 4428.85 | 0.396128 | ||||||||
\(501\) | 7267.83 | 0.648109 | ||||||||
\(502\) | 11054.0 | 0.982795 | ||||||||
\(503\) | −16241.4 | −1.43970 | −0.719850 | − | 0.694130i | \(-0.755789\pi\) | ||||
−0.719850 | + | 0.694130i | \(0.755789\pi\) | |||||||
\(504\) | 504.000 | 0.0445435 | ||||||||
\(505\) | −17140.1 | −1.51035 | ||||||||
\(506\) | −209.907 | −0.0184417 | ||||||||
\(507\) | −8389.46 | −0.734889 | ||||||||
\(508\) | 1000.77 | 0.0874053 | ||||||||
\(509\) | 22052.4 | 1.92035 | 0.960173 | − | 0.279405i | \(-0.0901373\pi\) | ||||
0.960173 | + | 0.279405i | \(0.0901373\pi\) | |||||||
\(510\) | 6010.91 | 0.521898 | ||||||||
\(511\) | 3636.42 | 0.314806 | ||||||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 1165.56 | 0.100313 | ||||||||
\(514\) | −7745.02 | −0.664627 | ||||||||
\(515\) | 17250.5 | 1.47601 | ||||||||
\(516\) | 5475.04 | 0.467103 | ||||||||
\(517\) | 538.188 | 0.0457823 | ||||||||
\(518\) | −5088.23 | −0.431590 | ||||||||
\(519\) | −4656.91 | −0.393864 | ||||||||
\(520\) | −7225.81 | −0.609371 | ||||||||
\(521\) | 6126.02 | 0.515136 | 0.257568 | − | 0.966260i | \(-0.417079\pi\) | ||||
0.257568 | + | 0.966260i | \(0.417079\pi\) | |||||||
\(522\) | −2998.93 | −0.251456 | ||||||||
\(523\) | −11267.8 | −0.942081 | −0.471040 | − | 0.882112i | \(-0.656121\pi\) | ||||
−0.471040 | + | 0.882112i | \(0.656121\pi\) | |||||||
\(524\) | 6495.73 | 0.541541 | ||||||||
\(525\) | 805.906 | 0.0669954 | ||||||||
\(526\) | 4587.73 | 0.380294 | ||||||||
\(527\) | 11541.7 | 0.954015 | ||||||||
\(528\) | 219.033 | 0.0180534 | ||||||||
\(529\) | 529.000 | 0.0434783 | ||||||||
\(530\) | −5658.64 | −0.463765 | ||||||||
\(531\) | −204.458 | −0.0167095 | ||||||||
\(532\) | 1208.73 | 0.0985054 | ||||||||
\(533\) | 20860.5 | 1.69525 | ||||||||
\(534\) | −5734.22 | −0.464689 | ||||||||
\(535\) | −10431.5 | −0.842980 | ||||||||
\(536\) | −3573.74 | −0.287989 | ||||||||
\(537\) | −9363.27 | −0.752430 | ||||||||
\(538\) | 2224.57 | 0.178267 | ||||||||
\(539\) | −223.596 | −0.0178682 | ||||||||
\(540\) | 1380.44 | 0.110009 | ||||||||
\(541\) | −2051.38 | −0.163023 | −0.0815117 | − | 0.996672i | \(-0.525975\pi\) | ||||
−0.0815117 | + | 0.996672i | \(0.525975\pi\) | |||||||
\(542\) | 13187.5 | 1.04512 | ||||||||
\(543\) | 2426.57 | 0.191776 | ||||||||
\(544\) | 2508.10 | 0.197672 | ||||||||
\(545\) | 10147.9 | 0.797592 | ||||||||
\(546\) | 2967.91 | 0.232628 | ||||||||
\(547\) | 8692.02 | 0.679422 | 0.339711 | − | 0.940530i | \(-0.389671\pi\) | ||||
0.339711 | + | 0.940530i | \(0.389671\pi\) | |||||||
\(548\) | 4442.07 | 0.346270 | ||||||||
\(549\) | −3591.11 | −0.279171 | ||||||||
\(550\) | 350.238 | 0.0271531 | ||||||||
\(551\) | −7192.24 | −0.556079 | ||||||||
\(552\) | −552.000 | −0.0425628 | ||||||||
\(553\) | −595.745 | −0.0458113 | ||||||||
\(554\) | 14094.2 | 1.08088 | ||||||||
\(555\) | −13936.5 | −1.06590 | ||||||||
\(556\) | −1408.01 | −0.107398 | ||||||||
\(557\) | 6835.31 | 0.519967 | 0.259983 | − | 0.965613i | \(-0.416283\pi\) | ||||
0.259983 | + | 0.965613i | \(0.416283\pi\) | |||||||
\(558\) | 2650.63 | 0.201093 | ||||||||
\(559\) | 32240.9 | 2.43944 | ||||||||
\(560\) | 1431.57 | 0.108027 | ||||||||
\(561\) | −1072.96 | −0.0807496 | ||||||||
\(562\) | 3213.54 | 0.241201 | ||||||||
\(563\) | −5526.23 | −0.413682 | −0.206841 | − | 0.978375i | \(-0.566318\pi\) | ||||
−0.206841 | + | 0.978375i | \(0.566318\pi\) | |||||||
\(564\) | 1415.29 | 0.105664 | ||||||||
\(565\) | 9666.27 | 0.719758 | ||||||||
\(566\) | 14871.1 | 1.10438 | ||||||||
\(567\) | −567.000 | −0.0419961 | ||||||||
\(568\) | −2569.10 | −0.189783 | ||||||||
\(569\) | −17664.7 | −1.30148 | −0.650741 | − | 0.759300i | \(-0.725542\pi\) | ||||
−0.650741 | + | 0.759300i | \(0.725542\pi\) | |||||||
\(570\) | 3310.67 | 0.243278 | ||||||||
\(571\) | 14924.4 | 1.09381 | 0.546907 | − | 0.837194i | \(-0.315805\pi\) | ||||
0.546907 | + | 0.837194i | \(0.315805\pi\) | |||||||
\(572\) | 1289.82 | 0.0942837 | ||||||||
\(573\) | 8925.10 | 0.650701 | ||||||||
\(574\) | −4132.86 | −0.300526 | ||||||||
\(575\) | −882.658 | −0.0640164 | ||||||||
\(576\) | 576.000 | 0.0416667 | ||||||||
\(577\) | 16922.4 | 1.22095 | 0.610474 | − | 0.792036i | \(-0.290979\pi\) | ||||
0.610474 | + | 0.792036i | \(0.290979\pi\) | |||||||
\(578\) | −2460.25 | −0.177046 | ||||||||
\(579\) | −2851.51 | −0.204671 | ||||||||
\(580\) | −8518.23 | −0.609828 | ||||||||
\(581\) | 1147.15 | 0.0819135 | ||||||||
\(582\) | −2861.74 | −0.203820 | ||||||||
\(583\) | 1010.08 | 0.0717551 | ||||||||
\(584\) | 4155.91 | 0.294474 | ||||||||
\(585\) | 8129.04 | 0.574520 | ||||||||
\(586\) | 1968.16 | 0.138744 | ||||||||
\(587\) | 9803.68 | 0.689338 | 0.344669 | − | 0.938724i | \(-0.387991\pi\) | ||||
0.344669 | + | 0.938724i | \(0.387991\pi\) | |||||||
\(588\) | −588.000 | −0.0412393 | ||||||||
\(589\) | 6356.91 | 0.444706 | ||||||||
\(590\) | −580.746 | −0.0405236 | ||||||||
\(591\) | 5165.61 | 0.359534 | ||||||||
\(592\) | −5815.12 | −0.403716 | ||||||||
\(593\) | 8747.09 | 0.605734 | 0.302867 | − | 0.953033i | \(-0.402056\pi\) | ||||
0.302867 | + | 0.953033i | \(0.402056\pi\) | |||||||
\(594\) | −246.412 | −0.0170209 | ||||||||
\(595\) | −7012.73 | −0.483183 | ||||||||
\(596\) | 2209.77 | 0.151872 | ||||||||
\(597\) | −6350.01 | −0.435324 | ||||||||
\(598\) | −3250.57 | −0.222284 | ||||||||
\(599\) | −20587.5 | −1.40431 | −0.702157 | − | 0.712022i | \(-0.747779\pi\) | ||||
−0.702157 | + | 0.712022i | \(0.747779\pi\) | |||||||
\(600\) | 921.035 | 0.0626685 | ||||||||
\(601\) | −1385.33 | −0.0940244 | −0.0470122 | − | 0.998894i | \(-0.514970\pi\) | ||||
−0.0470122 | + | 0.998894i | \(0.514970\pi\) | |||||||
\(602\) | −6387.54 | −0.432453 | ||||||||
\(603\) | 4020.46 | 0.271518 | ||||||||
\(604\) | 8636.02 | 0.581779 | ||||||||
\(605\) | 16746.5 | 1.12536 | ||||||||
\(606\) | 8045.82 | 0.539338 | ||||||||
\(607\) | −6297.96 | −0.421131 | −0.210565 | − | 0.977580i | \(-0.567530\pi\) | ||||
−0.210565 | + | 0.977580i | \(0.567530\pi\) | |||||||
\(608\) | 1381.40 | 0.0921434 | ||||||||
\(609\) | 3498.76 | 0.232803 | ||||||||
\(610\) | −10200.2 | −0.677042 | ||||||||
\(611\) | 8334.26 | 0.551830 | ||||||||
\(612\) | −2821.61 | −0.186367 | ||||||||
\(613\) | 20987.9 | 1.38286 | 0.691430 | − | 0.722444i | \(-0.256981\pi\) | ||||
0.691430 | + | 0.722444i | \(0.256981\pi\) | |||||||
\(614\) | 15154.3 | 0.996058 | ||||||||
\(615\) | −11319.8 | −0.742208 | ||||||||
\(616\) | −255.539 | −0.0167142 | ||||||||
\(617\) | −88.3741 | −0.00576630 | −0.00288315 | − | 0.999996i | \(-0.500918\pi\) | ||||
−0.00288315 | + | 0.999996i | \(0.500918\pi\) | |||||||
\(618\) | −8097.63 | −0.527078 | ||||||||
\(619\) | −16529.3 | −1.07330 | −0.536648 | − | 0.843806i | \(-0.680310\pi\) | ||||
−0.536648 | + | 0.843806i | \(0.680310\pi\) | |||||||
\(620\) | 7528.90 | 0.487690 | ||||||||
\(621\) | 621.000 | 0.0401286 | ||||||||
\(622\) | 4446.36 | 0.286628 | ||||||||
\(623\) | 6689.93 | 0.430219 | ||||||||
\(624\) | 3391.90 | 0.217604 | ||||||||
\(625\) | −18949.3 | −1.21276 | ||||||||
\(626\) | 6843.33 | 0.436924 | ||||||||
\(627\) | −590.962 | −0.0376407 | ||||||||
\(628\) | 5340.12 | 0.339321 | ||||||||
\(629\) | 28486.1 | 1.80575 | ||||||||
\(630\) | −1610.52 | −0.101848 | ||||||||
\(631\) | −5525.99 | −0.348631 | −0.174316 | − | 0.984690i | \(-0.555771\pi\) | ||||
−0.174316 | + | 0.984690i | \(0.555771\pi\) | |||||||
\(632\) | −680.852 | −0.0428526 | ||||||||
\(633\) | 2616.34 | 0.164282 | ||||||||
\(634\) | 2380.44 | 0.149116 | ||||||||
\(635\) | −3197.92 | −0.199852 | ||||||||
\(636\) | 2656.25 | 0.165609 | ||||||||
\(637\) | −3462.57 | −0.215372 | ||||||||
\(638\) | 1520.52 | 0.0943544 | ||||||||
\(639\) | 2890.23 | 0.178929 | ||||||||
\(640\) | 1636.08 | 0.101050 | ||||||||
\(641\) | 2098.71 | 0.129320 | 0.0646601 | − | 0.997907i | \(-0.479404\pi\) | ||||
0.0646601 | + | 0.997907i | \(0.479404\pi\) | |||||||
\(642\) | 4896.71 | 0.301024 | ||||||||
\(643\) | −13772.3 | −0.844677 | −0.422338 | − | 0.906438i | \(-0.638791\pi\) | ||||
−0.422338 | + | 0.906438i | \(0.638791\pi\) | |||||||
\(644\) | 644.000 | 0.0394055 | ||||||||
\(645\) | −17495.3 | −1.06803 | ||||||||
\(646\) | −6766.97 | −0.412141 | ||||||||
\(647\) | −22099.9 | −1.34287 | −0.671436 | − | 0.741063i | \(-0.734322\pi\) | ||||
−0.671436 | + | 0.741063i | \(0.734322\pi\) | |||||||
\(648\) | −648.000 | −0.0392837 | ||||||||
\(649\) | 103.665 | 0.00626994 | ||||||||
\(650\) | 5423.71 | 0.327285 | ||||||||
\(651\) | −3092.40 | −0.186176 | ||||||||
\(652\) | 6222.27 | 0.373747 | ||||||||
\(653\) | −10236.7 | −0.613467 | −0.306734 | − | 0.951795i | \(-0.599236\pi\) | ||||
−0.306734 | + | 0.951795i | \(0.599236\pi\) | |||||||
\(654\) | −4763.57 | −0.284817 | ||||||||
\(655\) | −20756.9 | −1.23823 | ||||||||
\(656\) | −4723.27 | −0.281117 | ||||||||
\(657\) | −4675.39 | −0.277632 | ||||||||
\(658\) | −1651.18 | −0.0978260 | ||||||||
\(659\) | −4648.69 | −0.274791 | −0.137396 | − | 0.990516i | \(-0.543873\pi\) | ||||
−0.137396 | + | 0.990516i | \(0.543873\pi\) | |||||||
\(660\) | −699.914 | −0.0412790 | ||||||||
\(661\) | 1656.45 | 0.0974713 | 0.0487356 | − | 0.998812i | \(-0.484481\pi\) | ||||
0.0487356 | + | 0.998812i | \(0.484481\pi\) | |||||||
\(662\) | 14998.3 | 0.880553 | ||||||||
\(663\) | −16615.7 | −0.973302 | ||||||||
\(664\) | 1311.03 | 0.0766230 | ||||||||
\(665\) | −3862.44 | −0.225232 | ||||||||
\(666\) | 6542.00 | 0.380627 | ||||||||
\(667\) | −3831.97 | −0.222451 | ||||||||
\(668\) | −9690.43 | −0.561279 | ||||||||
\(669\) | −7413.50 | −0.428434 | ||||||||
\(670\) | 11419.8 | 0.658484 | ||||||||
\(671\) | 1820.77 | 0.104754 | ||||||||
\(672\) | −672.000 | −0.0385758 | ||||||||
\(673\) | 1740.37 | 0.0996826 | 0.0498413 | − | 0.998757i | \(-0.484128\pi\) | ||||
0.0498413 | + | 0.998757i | \(0.484128\pi\) | |||||||
\(674\) | −6952.66 | −0.397339 | ||||||||
\(675\) | −1036.16 | −0.0590844 | ||||||||
\(676\) | 11185.9 | 0.636433 | ||||||||
\(677\) | 12725.2 | 0.722406 | 0.361203 | − | 0.932487i | \(-0.382366\pi\) | ||||
0.361203 | + | 0.932487i | \(0.382366\pi\) | |||||||
\(678\) | −4537.49 | −0.257022 | ||||||||
\(679\) | 3338.70 | 0.188700 | ||||||||
\(680\) | −8014.55 | −0.451977 | ||||||||
\(681\) | −8769.91 | −0.493485 | ||||||||
\(682\) | −1343.93 | −0.0754569 | ||||||||
\(683\) | −19212.1 | −1.07632 | −0.538162 | − | 0.842841i | \(-0.680881\pi\) | ||||
−0.538162 | + | 0.842841i | \(0.680881\pi\) | |||||||
\(684\) | −1554.08 | −0.0868736 | ||||||||
\(685\) | −14194.5 | −0.791743 | ||||||||
\(686\) | 686.000 | 0.0381802 | ||||||||
\(687\) | −15018.0 | −0.834022 | ||||||||
\(688\) | −7300.05 | −0.404523 | ||||||||
\(689\) | 15641.9 | 0.864888 | ||||||||
\(690\) | 1763.90 | 0.0973196 | ||||||||
\(691\) | −24225.5 | −1.33369 | −0.666846 | − | 0.745195i | \(-0.732356\pi\) | ||||
−0.666846 | + | 0.745195i | \(0.732356\pi\) | |||||||
\(692\) | 6209.21 | 0.341096 | ||||||||
\(693\) | 287.481 | 0.0157583 | ||||||||
\(694\) | −14731.2 | −0.805746 | ||||||||
\(695\) | 4499.26 | 0.245564 | ||||||||
\(696\) | 3998.58 | 0.217767 | ||||||||
\(697\) | 23137.5 | 1.25738 | ||||||||
\(698\) | 8676.12 | 0.470481 | ||||||||
\(699\) | −6486.26 | −0.350977 | ||||||||
\(700\) | −1074.54 | −0.0580197 | ||||||||
\(701\) | −3628.45 | −0.195499 | −0.0977494 | − | 0.995211i | \(-0.531164\pi\) | ||||
−0.0977494 | + | 0.995211i | \(0.531164\pi\) | |||||||
\(702\) | −3815.89 | −0.205159 | ||||||||
\(703\) | 15689.5 | 0.841734 | ||||||||
\(704\) | −292.044 | −0.0156347 | ||||||||
\(705\) | −4522.53 | −0.241600 | ||||||||
\(706\) | −2947.82 | −0.157143 | ||||||||
\(707\) | −9386.79 | −0.499330 | ||||||||
\(708\) | 272.611 | 0.0144708 | ||||||||
\(709\) | 20542.5 | 1.08814 | 0.544069 | − | 0.839041i | \(-0.316883\pi\) | ||||
0.544069 | + | 0.839041i | \(0.316883\pi\) | |||||||
\(710\) | 8209.47 | 0.433938 | ||||||||
\(711\) | 765.958 | 0.0404018 | ||||||||
\(712\) | 7645.63 | 0.402433 | ||||||||
\(713\) | 3386.92 | 0.177898 | ||||||||
\(714\) | 3291.88 | 0.172543 | ||||||||
\(715\) | −4121.59 | −0.215579 | ||||||||
\(716\) | 12484.4 | 0.651624 | ||||||||
\(717\) | 8446.89 | 0.439965 | ||||||||
\(718\) | −3466.52 | −0.180180 | ||||||||
\(719\) | 615.398 | 0.0319200 | 0.0159600 | − | 0.999873i | \(-0.494920\pi\) | ||||
0.0159600 | + | 0.999873i | \(0.494920\pi\) | |||||||
\(720\) | −1840.59 | −0.0952705 | ||||||||
\(721\) | 9447.23 | 0.487980 | ||||||||
\(722\) | 9990.92 | 0.514991 | ||||||||
\(723\) | −16549.3 | −0.851281 | ||||||||
\(724\) | −3235.43 | −0.166083 | ||||||||
\(725\) | 6393.80 | 0.327531 | ||||||||
\(726\) | −7861.06 | −0.401861 | ||||||||
\(727\) | 13930.0 | 0.710638 | 0.355319 | − | 0.934745i | \(-0.384372\pi\) | ||||
0.355319 | + | 0.934745i | \(0.384372\pi\) | |||||||
\(728\) | −3957.22 | −0.201462 | ||||||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | −13280.1 | −0.673312 | ||||||||
\(731\) | 35760.2 | 1.80936 | ||||||||
\(732\) | 4788.14 | 0.241769 | ||||||||
\(733\) | 38591.7 | 1.94463 | 0.972316 | − | 0.233668i | \(-0.0750728\pi\) | ||||
0.972316 | + | 0.233668i | \(0.0750728\pi\) | |||||||
\(734\) | −6293.08 | −0.316460 | ||||||||
\(735\) | 1878.94 | 0.0942933 | ||||||||
\(736\) | 736.000 | 0.0368605 | ||||||||
\(737\) | −2038.46 | −0.101883 | ||||||||
\(738\) | 5313.67 | 0.265039 | ||||||||
\(739\) | −3312.27 | −0.164877 | −0.0824383 | − | 0.996596i | \(-0.526271\pi\) | ||||
−0.0824383 | + | 0.996596i | \(0.526271\pi\) | |||||||
\(740\) | 18582.0 | 0.923093 | ||||||||
\(741\) | −9151.51 | −0.453696 | ||||||||
\(742\) | −3098.95 | −0.153324 | ||||||||
\(743\) | −31981.0 | −1.57910 | −0.789550 | − | 0.613687i | \(-0.789686\pi\) | ||||
−0.789550 | + | 0.613687i | \(0.789686\pi\) | |||||||
\(744\) | −3534.17 | −0.174152 | ||||||||
\(745\) | −7061.25 | −0.347254 | ||||||||
\(746\) | −20805.9 | −1.02112 | ||||||||
\(747\) | −1474.90 | −0.0722409 | ||||||||
\(748\) | 1430.62 | 0.0699312 | ||||||||
\(749\) | −5712.83 | −0.278694 | ||||||||
\(750\) | 6643.27 | 0.323437 | ||||||||
\(751\) | 18460.9 | 0.897001 | 0.448500 | − | 0.893783i | \(-0.351958\pi\) | ||||
0.448500 | + | 0.893783i | \(0.351958\pi\) | |||||||
\(752\) | −1887.06 | −0.0915079 | ||||||||
\(753\) | 16581.0 | 0.802449 | ||||||||
\(754\) | 23546.5 | 1.13728 | ||||||||
\(755\) | −27596.1 | −1.33023 | ||||||||
\(756\) | 756.000 | 0.0363696 | ||||||||
\(757\) | 568.470 | 0.0272938 | 0.0136469 | − | 0.999907i | \(-0.495656\pi\) | ||||
0.0136469 | + | 0.999907i | \(0.495656\pi\) | |||||||
\(758\) | 11970.7 | 0.573610 | ||||||||
\(759\) | −314.860 | −0.0150576 | ||||||||
\(760\) | −4414.22 | −0.210685 | ||||||||
\(761\) | 29609.3 | 1.41043 | 0.705215 | − | 0.708994i | \(-0.250851\pi\) | ||||
0.705215 | + | 0.708994i | \(0.250851\pi\) | |||||||
\(762\) | 1501.15 | 0.0713662 | ||||||||
\(763\) | 5557.49 | 0.263689 | ||||||||
\(764\) | −11900.1 | −0.563523 | ||||||||
\(765\) | 9016.37 | 0.426128 | ||||||||
\(766\) | 5770.07 | 0.272169 | ||||||||
\(767\) | 1605.33 | 0.0755737 | ||||||||
\(768\) | −768.000 | −0.0360844 | ||||||||
\(769\) | −31575.5 | −1.48068 | −0.740339 | − | 0.672234i | \(-0.765335\pi\) | ||||
−0.740339 | + | 0.672234i | \(0.765335\pi\) | |||||||
\(770\) | 816.566 | 0.0382169 | ||||||||
\(771\) | −11617.5 | −0.542666 | ||||||||
\(772\) | 3802.01 | 0.177251 | ||||||||
\(773\) | −33899.2 | −1.57732 | −0.788660 | − | 0.614830i | \(-0.789225\pi\) | ||||
−0.788660 | + | 0.614830i | \(0.789225\pi\) | |||||||
\(774\) | 8212.55 | 0.381388 | ||||||||
\(775\) | −5651.21 | −0.261932 | ||||||||
\(776\) | 3815.66 | 0.176513 | ||||||||
\(777\) | −7632.34 | −0.352392 | ||||||||
\(778\) | −22571.1 | −1.04012 | ||||||||
\(779\) | 12743.6 | 0.586119 | ||||||||
\(780\) | −10838.7 | −0.497549 | ||||||||
\(781\) | −1465.41 | −0.0671402 | ||||||||
\(782\) | −3605.39 | −0.164870 | ||||||||
\(783\) | −4498.40 | −0.205313 | ||||||||
\(784\) | 784.000 | 0.0357143 | ||||||||
\(785\) | −17064.2 | −0.775856 | ||||||||
\(786\) | 9743.59 | 0.442166 | ||||||||
\(787\) | −6835.67 | −0.309613 | −0.154807 | − | 0.987945i | \(-0.549475\pi\) | ||||
−0.154807 | + | 0.987945i | \(0.549475\pi\) | |||||||
\(788\) | −6887.47 | −0.311366 | ||||||||
\(789\) | 6881.60 | 0.310509 | ||||||||
\(790\) | 2175.64 | 0.0979821 | ||||||||
\(791\) | 5293.74 | 0.237956 | ||||||||
\(792\) | 328.550 | 0.0147405 | ||||||||
\(793\) | 28196.0 | 1.26264 | ||||||||
\(794\) | 4951.48 | 0.221312 | ||||||||
\(795\) | −8487.95 | −0.378663 | ||||||||
\(796\) | 8466.68 | 0.377002 | ||||||||
\(797\) | 567.471 | 0.0252206 | 0.0126103 | − | 0.999920i | \(-0.495986\pi\) | ||||
0.0126103 | + | 0.999920i | \(0.495986\pi\) | |||||||
\(798\) | 1813.09 | 0.0804293 | ||||||||
\(799\) | 9244.00 | 0.409298 | ||||||||
\(800\) | −1228.05 | −0.0542725 | ||||||||
\(801\) | −8601.33 | −0.379417 | ||||||||
\(802\) | 15798.8 | 0.695605 | ||||||||
\(803\) | 2370.52 | 0.104177 | ||||||||
\(804\) | −5360.61 | −0.235142 | ||||||||
\(805\) | −2057.88 | −0.0901004 | ||||||||
\(806\) | −20811.7 | −0.909507 | ||||||||
\(807\) | 3336.85 | 0.145555 | ||||||||
\(808\) | −10727.8 | −0.467081 | ||||||||
\(809\) | −453.037 | −0.0196884 | −0.00984421 | − | 0.999952i | \(-0.503134\pi\) | ||||
−0.00984421 | + | 0.999952i | \(0.503134\pi\) | |||||||
\(810\) | 2070.66 | 0.0898219 | ||||||||
\(811\) | −4837.90 | −0.209472 | −0.104736 | − | 0.994500i | \(-0.533400\pi\) | ||||
−0.104736 | + | 0.994500i | \(0.533400\pi\) | |||||||
\(812\) | −4665.01 | −0.201613 | ||||||||
\(813\) | 19781.3 | 0.853334 | ||||||||
\(814\) | −3316.93 | −0.142824 | ||||||||
\(815\) | −19883.1 | −0.854568 | ||||||||
\(816\) | 3762.15 | 0.161399 | ||||||||
\(817\) | 19695.9 | 0.843417 | ||||||||
\(818\) | 23542.5 | 1.00629 | ||||||||
\(819\) | 4451.87 | 0.189940 | ||||||||
\(820\) | 15093.1 | 0.642771 | ||||||||
\(821\) | −16163.9 | −0.687117 | −0.343558 | − | 0.939131i | \(-0.611632\pi\) | ||||
−0.343558 | + | 0.939131i | \(0.611632\pi\) | |||||||
\(822\) | 6663.10 | 0.282728 | ||||||||
\(823\) | 36866.5 | 1.56146 | 0.780732 | − | 0.624866i | \(-0.214847\pi\) | ||||
0.780732 | + | 0.624866i | \(0.214847\pi\) | |||||||
\(824\) | 10796.8 | 0.456463 | ||||||||
\(825\) | 525.357 | 0.0221704 | ||||||||
\(826\) | −318.046 | −0.0133974 | ||||||||
\(827\) | 7053.95 | 0.296602 | 0.148301 | − | 0.988942i | \(-0.452620\pi\) | ||||
0.148301 | + | 0.988942i | \(0.452620\pi\) | |||||||
\(828\) | −828.000 | −0.0347524 | ||||||||
\(829\) | 25899.6 | 1.08508 | 0.542540 | − | 0.840030i | \(-0.317463\pi\) | ||||
0.542540 | + | 0.840030i | \(0.317463\pi\) | |||||||
\(830\) | −4189.35 | −0.175198 | ||||||||
\(831\) | 21141.3 | 0.882533 | ||||||||
\(832\) | −4522.53 | −0.188450 | ||||||||
\(833\) | −3840.53 | −0.159743 | ||||||||
\(834\) | −2112.02 | −0.0876897 | ||||||||
\(835\) | 30965.5 | 1.28336 | ||||||||
\(836\) | 787.949 | 0.0325978 | ||||||||
\(837\) | 3975.95 | 0.164192 | ||||||||
\(838\) | 2104.28 | 0.0867436 | ||||||||
\(839\) | −28305.1 | −1.16472 | −0.582359 | − | 0.812932i | \(-0.697870\pi\) | ||||
−0.582359 | + | 0.812932i | \(0.697870\pi\) | |||||||
\(840\) | 2147.36 | 0.0882034 | ||||||||
\(841\) | 3369.04 | 0.138138 | ||||||||
\(842\) | 20693.7 | 0.846975 | ||||||||
\(843\) | 4820.32 | 0.196940 | ||||||||
\(844\) | −3488.46 | −0.142272 | ||||||||
\(845\) | −35744.3 | −1.45520 | ||||||||
\(846\) | 2122.94 | 0.0862744 | ||||||||
\(847\) | 9171.24 | 0.372051 | ||||||||
\(848\) | −3541.66 | −0.143421 | ||||||||
\(849\) | 22306.6 | 0.901721 | ||||||||
\(850\) | 6015.75 | 0.242751 | ||||||||
\(851\) | 8359.23 | 0.336722 | ||||||||
\(852\) | −3853.64 | −0.154957 | ||||||||
\(853\) | 24137.4 | 0.968874 | 0.484437 | − | 0.874826i | \(-0.339024\pi\) | ||||
0.484437 | + | 0.874826i | \(0.339024\pi\) | |||||||
\(854\) | −5586.17 | −0.223835 | ||||||||
\(855\) | 4966.00 | 0.198636 | ||||||||
\(856\) | −6528.95 | −0.260695 | ||||||||
\(857\) | 45567.7 | 1.81629 | 0.908146 | − | 0.418653i | \(-0.137498\pi\) | ||||
0.908146 | + | 0.418653i | \(0.137498\pi\) | |||||||
\(858\) | 1934.74 | 0.0769823 | ||||||||
\(859\) | 12381.3 | 0.491788 | 0.245894 | − | 0.969297i | \(-0.420919\pi\) | ||||
0.245894 | + | 0.969297i | \(0.420919\pi\) | |||||||
\(860\) | 23327.1 | 0.924938 | ||||||||
\(861\) | −6199.29 | −0.245379 | ||||||||
\(862\) | −11808.2 | −0.466574 | ||||||||
\(863\) | −12015.9 | −0.473958 | −0.236979 | − | 0.971515i | \(-0.576157\pi\) | ||||
−0.236979 | + | 0.971515i | \(0.576157\pi\) | |||||||
\(864\) | 864.000 | 0.0340207 | ||||||||
\(865\) | −19841.3 | −0.779914 | ||||||||
\(866\) | 17087.1 | 0.670488 | ||||||||
\(867\) | −3690.37 | −0.144558 | ||||||||
\(868\) | 4123.20 | 0.161233 | ||||||||
\(869\) | −388.357 | −0.0151601 | ||||||||
\(870\) | −12777.3 | −0.497922 | ||||||||
\(871\) | −31567.1 | −1.22803 | ||||||||
\(872\) | 6351.42 | 0.246659 | ||||||||
\(873\) | −4292.62 | −0.166418 | ||||||||
\(874\) | −1985.76 | −0.0768529 | ||||||||
\(875\) | −7750.48 | −0.299445 | ||||||||
\(876\) | 6233.86 | 0.240437 | ||||||||
\(877\) | 29870.9 | 1.15014 | 0.575069 | − | 0.818105i | \(-0.304975\pi\) | ||||
0.575069 | + | 0.818105i | \(0.304975\pi\) | |||||||
\(878\) | −34421.8 | −1.32310 | ||||||||
\(879\) | 2952.23 | 0.113284 | ||||||||
\(880\) | 933.218 | 0.0357486 | ||||||||
\(881\) | −18857.5 | −0.721143 | −0.360571 | − | 0.932732i | \(-0.617418\pi\) | ||||
−0.360571 | + | 0.932732i | \(0.617418\pi\) | |||||||
\(882\) | −882.000 | −0.0336718 | ||||||||
\(883\) | 43540.2 | 1.65939 | 0.829697 | − | 0.558213i | \(-0.188513\pi\) | ||||
0.829697 | + | 0.558213i | \(0.188513\pi\) | |||||||
\(884\) | 22154.2 | 0.842904 | ||||||||
\(885\) | −871.119 | −0.0330874 | ||||||||
\(886\) | 23707.1 | 0.898934 | ||||||||
\(887\) | −26111.3 | −0.988422 | −0.494211 | − | 0.869342i | \(-0.664543\pi\) | ||||
−0.494211 | + | 0.869342i | \(0.664543\pi\) | |||||||
\(888\) | −8722.67 | −0.329633 | ||||||||
\(889\) | −1751.34 | −0.0660722 | ||||||||
\(890\) | −24431.4 | −0.920159 | ||||||||
\(891\) | −369.618 | −0.0138975 | ||||||||
\(892\) | 9884.67 | 0.371035 | ||||||||
\(893\) | 5091.37 | 0.190791 | ||||||||
\(894\) | 3314.65 | 0.124003 | ||||||||
\(895\) | −39893.4 | −1.48993 | ||||||||
\(896\) | 896.000 | 0.0334077 | ||||||||
\(897\) | −4875.86 | −0.181494 | ||||||||
\(898\) | 26670.0 | 0.991079 | ||||||||
\(899\) | −24534.2 | −0.910189 | ||||||||
\(900\) | 1381.55 | 0.0511686 | ||||||||
\(901\) | 17349.3 | 0.641497 | ||||||||
\(902\) | −2694.15 | −0.0994515 | ||||||||
\(903\) | −9581.31 | −0.353096 | ||||||||
\(904\) | 6049.98 | 0.222588 | ||||||||
\(905\) | 10338.7 | 0.379747 | ||||||||
\(906\) | 12954.0 | 0.475021 | ||||||||
\(907\) | −3966.29 | −0.145202 | −0.0726012 | − | 0.997361i | \(-0.523130\pi\) | ||||
−0.0726012 | + | 0.997361i | \(0.523130\pi\) | |||||||
\(908\) | 11693.2 | 0.427371 | ||||||||
\(909\) | 12068.7 | 0.440368 | ||||||||
\(910\) | 12645.2 | 0.460641 | ||||||||
\(911\) | −17533.1 | −0.637649 | −0.318824 | − | 0.947814i | \(-0.603288\pi\) | ||||
−0.318824 | + | 0.947814i | \(0.603288\pi\) | |||||||
\(912\) | 2072.10 | 0.0752348 | ||||||||
\(913\) | 747.808 | 0.0271072 | ||||||||
\(914\) | 32169.5 | 1.16419 | ||||||||
\(915\) | −15300.4 | −0.552803 | ||||||||
\(916\) | 20024.0 | 0.722284 | ||||||||
\(917\) | −11367.5 | −0.409366 | ||||||||
\(918\) | −4232.42 | −0.152168 | ||||||||
\(919\) | 47649.9 | 1.71036 | 0.855182 | − | 0.518328i | \(-0.173445\pi\) | ||||
0.855182 | + | 0.518328i | \(0.173445\pi\) | |||||||
\(920\) | −2351.87 | −0.0842812 | ||||||||
\(921\) | 22731.5 | 0.813278 | ||||||||
\(922\) | −8717.72 | −0.311391 | ||||||||
\(923\) | −22693.0 | −0.809263 | ||||||||
\(924\) | −383.308 | −0.0136471 | ||||||||
\(925\) | −13947.7 | −0.495782 | ||||||||
\(926\) | −1042.05 | −0.0369805 | ||||||||
\(927\) | −12146.4 | −0.430358 | ||||||||
\(928\) | −5331.44 | −0.188592 | ||||||||
\(929\) | 3997.24 | 0.141168 | 0.0705841 | − | 0.997506i | \(-0.477514\pi\) | ||||
0.0705841 | + | 0.997506i | \(0.477514\pi\) | |||||||
\(930\) | 11293.3 | 0.398197 | ||||||||
\(931\) | −2115.27 | −0.0744631 | ||||||||
\(932\) | 8648.35 | 0.303955 | ||||||||
\(933\) | 6669.53 | 0.234031 | ||||||||
\(934\) | −152.299 | −0.00533552 | ||||||||
\(935\) | −4571.49 | −0.159897 | ||||||||
\(936\) | 5087.85 | 0.177673 | ||||||||
\(937\) | −56435.2 | −1.96762 | −0.983808 | − | 0.179225i | \(-0.942641\pi\) | ||||
−0.983808 | + | 0.179225i | \(0.942641\pi\) | |||||||
\(938\) | 6254.04 | 0.217699 | ||||||||
\(939\) | 10265.0 | 0.356747 | ||||||||
\(940\) | 6030.04 | 0.209232 | ||||||||
\(941\) | 42259.7 | 1.46400 | 0.732002 | − | 0.681302i | \(-0.238586\pi\) | ||||
0.732002 | + | 0.681302i | \(0.238586\pi\) | |||||||
\(942\) | 8010.18 | 0.277055 | ||||||||
\(943\) | 6789.69 | 0.234468 | ||||||||
\(944\) | −363.481 | −0.0125321 | ||||||||
\(945\) | −2415.78 | −0.0831589 | ||||||||
\(946\) | −4163.94 | −0.143109 | ||||||||
\(947\) | −51670.3 | −1.77303 | −0.886514 | − | 0.462701i | \(-0.846880\pi\) | ||||
−0.886514 | + | 0.462701i | \(0.846880\pi\) | |||||||
\(948\) | −1021.28 | −0.0349890 | ||||||||
\(949\) | 36709.4 | 1.25568 | ||||||||
\(950\) | 3313.33 | 0.113156 | ||||||||
\(951\) | 3570.66 | 0.121753 | ||||||||
\(952\) | −4389.17 | −0.149426 | ||||||||
\(953\) | 50516.5 | 1.71709 | 0.858546 | − | 0.512736i | \(-0.171368\pi\) | ||||
0.858546 | + | 0.512736i | \(0.171368\pi\) | |||||||
\(954\) | 3984.37 | 0.135219 | ||||||||
\(955\) | 38026.5 | 1.28849 | ||||||||
\(956\) | −11262.5 | −0.381021 | ||||||||
\(957\) | 2280.78 | 0.0770400 | ||||||||
\(958\) | 33359.6 | 1.12505 | ||||||||
\(959\) | −7773.62 | −0.261755 | ||||||||
\(960\) | 2454.12 | 0.0825067 | ||||||||
\(961\) | −8106.30 | −0.272106 | ||||||||
\(962\) | −51365.3 | −1.72150 | ||||||||
\(963\) | 7345.06 | 0.245785 | ||||||||
\(964\) | 22065.8 | 0.737231 | ||||||||
\(965\) | −12149.2 | −0.405282 | ||||||||
\(966\) | 966.000 | 0.0321745 | ||||||||
\(967\) | −87.5748 | −0.00291232 | −0.00145616 | − | 0.999999i | \(-0.500464\pi\) | ||||
−0.00145616 | + | 0.999999i | \(0.500464\pi\) | |||||||
\(968\) | 10481.4 | 0.348022 | ||||||||
\(969\) | −10150.5 | −0.336511 | ||||||||
\(970\) | −12192.8 | −0.403596 | ||||||||
\(971\) | −45984.9 | −1.51980 | −0.759900 | − | 0.650040i | \(-0.774752\pi\) | ||||
−0.759900 | + | 0.650040i | \(0.774752\pi\) | |||||||
\(972\) | −972.000 | −0.0320750 | ||||||||
\(973\) | 2464.02 | 0.0811849 | ||||||||
\(974\) | 24797.5 | 0.815774 | ||||||||
\(975\) | 8135.57 | 0.267227 | ||||||||
\(976\) | −6384.19 | −0.209378 | ||||||||
\(977\) | −26575.8 | −0.870249 | −0.435125 | − | 0.900370i | \(-0.643296\pi\) | ||||
−0.435125 | + | 0.900370i | \(0.643296\pi\) | |||||||
\(978\) | 9333.40 | 0.305163 | ||||||||
\(979\) | 4361.06 | 0.142370 | ||||||||
\(980\) | −2505.25 | −0.0816604 | ||||||||
\(981\) | −7145.35 | −0.232552 | ||||||||
\(982\) | −28538.7 | −0.927399 | ||||||||
\(983\) | 7451.37 | 0.241772 | 0.120886 | − | 0.992666i | \(-0.461426\pi\) | ||||
0.120886 | + | 0.992666i | \(0.461426\pi\) | |||||||
\(984\) | −7084.90 | −0.229531 | ||||||||
\(985\) | 22008.7 | 0.711935 | ||||||||
\(986\) | 26116.7 | 0.843536 | ||||||||
\(987\) | −2476.76 | −0.0798746 | ||||||||
\(988\) | 12202.0 | 0.392913 | ||||||||
\(989\) | 10493.8 | 0.337395 | ||||||||
\(990\) | −1049.87 | −0.0337041 | ||||||||
\(991\) | 50945.4 | 1.63303 | 0.816515 | − | 0.577324i | \(-0.195903\pi\) | ||||
0.816515 | + | 0.577324i | \(0.195903\pi\) | |||||||
\(992\) | 4712.23 | 0.150820 | ||||||||
\(993\) | 22497.5 | 0.718968 | ||||||||
\(994\) | 4495.92 | 0.143463 | ||||||||
\(995\) | −27055.0 | −0.862012 | ||||||||
\(996\) | 1966.54 | 0.0625624 | ||||||||
\(997\) | −16659.1 | −0.529187 | −0.264593 | − | 0.964360i | \(-0.585238\pi\) | ||||
−0.264593 | + | 0.964360i | \(0.585238\pi\) | |||||||
\(998\) | 22649.0 | 0.718378 | ||||||||
\(999\) | 9813.01 | 0.310781 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.4.a.m.1.1 | ✓ | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.4.a.m.1.1 | ✓ | 5 | 1.1 | even | 1 | trivial |