Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(176,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.176");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 176.6 | ||
Character | \(\chi\) | \(=\) | 177.176 |
Dual form | 177.4.d.c.176.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.72011 | −1.66881 | −0.834405 | − | 0.551152i | \(-0.814189\pi\) | ||||
−0.834405 | + | 0.551152i | \(0.814189\pi\) | |||||||
\(3\) | −4.94573 | + | 1.59367i | −0.951806 | + | 0.306702i | ||||
\(4\) | 14.2794 | 1.78493 | ||||||||
\(5\) | − | 15.2708i | − | 1.36586i | −0.730483 | − | 0.682931i | \(-0.760705\pi\) | ||
0.730483 | − | 0.682931i | \(-0.239295\pi\) | |||||||
\(6\) | 23.3444 | − | 7.52230i | 1.58838 | − | 0.511828i | ||||
\(7\) | 9.03916 | 0.488069 | 0.244034 | − | 0.969767i | \(-0.421529\pi\) | ||||
0.244034 | + | 0.969767i | \(0.421529\pi\) | |||||||
\(8\) | −29.6395 | −1.30989 | ||||||||
\(9\) | 21.9204 | − | 15.7637i | 0.811868 | − | 0.583842i | ||||
\(10\) | 72.0799i | 2.27937i | ||||||||
\(11\) | −12.9980 | −0.356276 | −0.178138 | − | 0.984005i | \(-0.557007\pi\) | ||||
−0.178138 | + | 0.984005i | \(0.557007\pi\) | |||||||
\(12\) | −70.6221 | + | 22.7567i | −1.69890 | + | 0.547441i | ||||
\(13\) | 55.4535i | 1.18308i | 0.806276 | + | 0.591540i | \(0.201480\pi\) | ||||
−0.806276 | + | 0.591540i | \(0.798520\pi\) | |||||||
\(14\) | −42.6658 | −0.814494 | ||||||||
\(15\) | 24.3366 | + | 75.5253i | 0.418913 | + | 1.30004i | ||||
\(16\) | 25.6664 | 0.401037 | ||||||||
\(17\) | − | 10.8602i | − | 0.154941i | −0.996995 | − | 0.0774704i | \(-0.975316\pi\) | ||
0.996995 | − | 0.0774704i | \(-0.0246843\pi\) | |||||||
\(18\) | −103.467 | + | 74.4065i | −1.35485 | + | 0.974321i | ||||
\(19\) | 126.731 | 1.53021 | 0.765106 | − | 0.643904i | \(-0.222686\pi\) | ||||
0.765106 | + | 0.643904i | \(0.222686\pi\) | |||||||
\(20\) | − | 218.058i | − | 2.43797i | ||||||
\(21\) | −44.7052 | + | 14.4054i | −0.464546 | + | 0.149692i | ||||
\(22\) | 61.3519 | 0.594558 | ||||||||
\(23\) | 21.4430 | 0.194399 | 0.0971996 | − | 0.995265i | \(-0.469011\pi\) | ||||
0.0971996 | + | 0.995265i | \(0.469011\pi\) | |||||||
\(24\) | 146.589 | − | 47.2356i | 1.24676 | − | 0.401747i | ||||
\(25\) | −108.198 | −0.865581 | ||||||||
\(26\) | − | 261.746i | − | 1.97433i | ||||||
\(27\) | −83.2902 | + | 112.897i | −0.593675 | + | 0.804705i | ||||
\(28\) | 129.074 | 0.871167 | ||||||||
\(29\) | − | 6.52115i | − | 0.0417568i | −0.999782 | − | 0.0208784i | \(-0.993354\pi\) | ||
0.999782 | − | 0.0208784i | \(-0.00664628\pi\) | |||||||
\(30\) | −114.872 | − | 356.487i | −0.699086 | − | 2.16951i | ||||
\(31\) | − | 223.822i | − | 1.29676i | −0.761317 | − | 0.648380i | \(-0.775447\pi\) | ||
0.761317 | − | 0.648380i | \(-0.224553\pi\) | |||||||
\(32\) | 115.968 | 0.640639 | ||||||||
\(33\) | 64.2845 | − | 20.7145i | 0.339106 | − | 0.109271i | ||||
\(34\) | 51.2615i | 0.258567i | ||||||||
\(35\) | − | 138.035i | − | 0.666635i | ||||||
\(36\) | 313.011 | − | 225.097i | 1.44912 | − | 1.04211i | ||||
\(37\) | − | 166.344i | − | 0.739104i | −0.929210 | − | 0.369552i | \(-0.879511\pi\) | ||
0.929210 | − | 0.369552i | \(-0.120489\pi\) | |||||||
\(38\) | −598.183 | −2.55363 | ||||||||
\(39\) | −88.3746 | − | 274.258i | −0.362853 | − | 1.12606i | ||||
\(40\) | 452.619i | 1.78914i | ||||||||
\(41\) | − | 152.194i | − | 0.579725i | −0.957068 | − | 0.289863i | \(-0.906390\pi\) | ||
0.957068 | − | 0.289863i | \(-0.0936096\pi\) | |||||||
\(42\) | 211.013 | − | 67.9952i | 0.775240 | − | 0.249807i | ||||
\(43\) | − | 122.150i | − | 0.433202i | −0.976260 | − | 0.216601i | \(-0.930503\pi\) | ||
0.976260 | − | 0.216601i | \(-0.0694971\pi\) | |||||||
\(44\) | −185.604 | −0.635928 | ||||||||
\(45\) | −240.725 | − | 334.743i | −0.797447 | − | 1.10890i | ||||
\(46\) | −101.213 | −0.324415 | ||||||||
\(47\) | 126.500 | 0.392594 | 0.196297 | − | 0.980545i | \(-0.437108\pi\) | ||||
0.196297 | + | 0.980545i | \(0.437108\pi\) | |||||||
\(48\) | −126.939 | + | 40.9038i | −0.381710 | + | 0.122999i | ||||
\(49\) | −261.294 | −0.761789 | ||||||||
\(50\) | 510.705 | 1.44449 | ||||||||
\(51\) | 17.3076 | + | 53.7117i | 0.0475207 | + | 0.147473i | ||||
\(52\) | 791.843i | 2.11171i | ||||||||
\(53\) | 578.820i | 1.50013i | 0.661363 | + | 0.750066i | \(0.269978\pi\) | ||||
−0.661363 | + | 0.750066i | \(0.730022\pi\) | |||||||
\(54\) | 393.139 | − | 532.886i | 0.990730 | − | 1.34290i | ||||
\(55\) | 198.490i | 0.486625i | ||||||||
\(56\) | −267.916 | −0.639318 | ||||||||
\(57\) | −626.776 | + | 201.967i | −1.45647 | + | 0.469320i | ||||
\(58\) | 30.7805i | 0.0696842i | ||||||||
\(59\) | 183.057 | − | 414.571i | 0.403932 | − | 0.914789i | ||||
\(60\) | 347.513 | + | 1078.46i | 0.747729 | + | 2.32047i | ||||
\(61\) | − | 272.491i | − | 0.571949i | −0.958237 | − | 0.285975i | \(-0.907683\pi\) | ||
0.958237 | − | 0.285975i | \(-0.0923173\pi\) | |||||||
\(62\) | 1056.46i | 2.16404i | ||||||||
\(63\) | 198.142 | − | 142.491i | 0.396247 | − | 0.284955i | ||||
\(64\) | −752.713 | −1.47014 | ||||||||
\(65\) | 846.820 | 1.61592 | ||||||||
\(66\) | −303.430 | + | 97.7748i | −0.565903 | + | 0.182352i | ||||
\(67\) | − | 957.249i | − | 1.74547i | −0.488193 | − | 0.872736i | \(-0.662344\pi\) | ||
0.488193 | − | 0.872736i | \(-0.337656\pi\) | |||||||
\(68\) | − | 155.078i | − | 0.276558i | ||||||
\(69\) | −106.051 | + | 34.1731i | −0.185030 | + | 0.0596226i | ||||
\(70\) | 651.541i | 1.11249i | ||||||||
\(71\) | − | 639.771i | − | 1.06939i | −0.845044 | − | 0.534696i | \(-0.820426\pi\) | ||
0.845044 | − | 0.534696i | \(-0.179574\pi\) | |||||||
\(72\) | −649.711 | + | 467.229i | −1.06346 | + | 0.764771i | ||||
\(73\) | 869.650i | 1.39431i | 0.716919 | + | 0.697156i | \(0.245552\pi\) | ||||
−0.716919 | + | 0.697156i | \(0.754448\pi\) | |||||||
\(74\) | 785.164i | 1.23342i | ||||||||
\(75\) | 535.116 | − | 172.431i | 0.823865 | − | 0.265476i | ||||
\(76\) | 1809.64 | 2.73132 | ||||||||
\(77\) | −117.491 | −0.173887 | ||||||||
\(78\) | 417.138 | + | 1294.53i | 0.605532 | + | 1.87918i | ||||
\(79\) | 668.109 | 0.951496 | 0.475748 | − | 0.879582i | \(-0.342177\pi\) | ||||
0.475748 | + | 0.879582i | \(0.342177\pi\) | |||||||
\(80\) | − | 391.947i | − | 0.547762i | ||||||
\(81\) | 232.010 | − | 691.095i | 0.318258 | − | 0.948004i | ||||
\(82\) | 718.373i | 0.967452i | ||||||||
\(83\) | −1151.69 | −1.52307 | −0.761533 | − | 0.648126i | \(-0.775553\pi\) | ||||
−0.761533 | + | 0.648126i | \(0.775553\pi\) | |||||||
\(84\) | −638.364 | + | 205.701i | −0.829182 | + | 0.267189i | ||||
\(85\) | −165.845 | −0.211628 | ||||||||
\(86\) | 576.561i | 0.722932i | ||||||||
\(87\) | 10.3926 | + | 32.2518i | 0.0128069 | + | 0.0397443i | ||||
\(88\) | 385.254 | 0.466684 | ||||||||
\(89\) | −505.096 | −0.601573 | −0.300787 | − | 0.953691i | \(-0.597249\pi\) | ||||
−0.300787 | + | 0.953691i | \(0.597249\pi\) | |||||||
\(90\) | 1136.25 | + | 1580.02i | 1.33079 | + | 1.85054i | ||||
\(91\) | 501.253i | 0.577424i | ||||||||
\(92\) | 306.194 | 0.346988 | ||||||||
\(93\) | 356.698 | + | 1106.96i | 0.397719 | + | 1.23426i | ||||
\(94\) | −597.093 | −0.655164 | ||||||||
\(95\) | − | 1935.28i | − | 2.09006i | ||||||
\(96\) | −573.546 | + | 184.815i | −0.609764 | + | 0.196485i | ||||
\(97\) | − | 1503.21i | − | 1.57348i | −0.617282 | − | 0.786742i | \(-0.711766\pi\) | ||
0.617282 | − | 0.786742i | \(-0.288234\pi\) | |||||||
\(98\) | 1233.33 | 1.27128 | ||||||||
\(99\) | −284.921 | + | 204.897i | −0.289249 | + | 0.208009i | ||||
\(100\) | −1545.00 | −1.54500 | ||||||||
\(101\) | −1835.63 | −1.80843 | −0.904217 | − | 0.427074i | \(-0.859544\pi\) | ||||
−0.904217 | + | 0.427074i | \(0.859544\pi\) | |||||||
\(102\) | −81.6939 | − | 253.525i | −0.0793030 | − | 0.246105i | ||||
\(103\) | − | 348.680i | − | 0.333558i | −0.985994 | − | 0.166779i | \(-0.946663\pi\) | ||
0.985994 | − | 0.166779i | \(-0.0533367\pi\) | |||||||
\(104\) | − | 1643.61i | − | 1.54971i | ||||||
\(105\) | 219.983 | + | 682.685i | 0.204458 | + | 0.634507i | ||||
\(106\) | − | 2732.09i | − | 2.50344i | ||||||
\(107\) | 519.223i | 0.469114i | 0.972102 | + | 0.234557i | \(0.0753640\pi\) | ||||
−0.972102 | + | 0.234557i | \(0.924636\pi\) | |||||||
\(108\) | −1189.34 | + | 1612.10i | −1.05967 | + | 1.43634i | ||||
\(109\) | − | 1817.46i | − | 1.59708i | −0.601944 | − | 0.798538i | \(-0.705607\pi\) | ||
0.601944 | − | 0.798538i | \(-0.294393\pi\) | |||||||
\(110\) | − | 936.893i | − | 0.812084i | ||||||
\(111\) | 265.098 | + | 822.694i | 0.226685 | + | 0.703484i | ||||
\(112\) | 232.003 | 0.195734 | ||||||||
\(113\) | −1249.57 | −1.04027 | −0.520133 | − | 0.854085i | \(-0.674118\pi\) | ||||
−0.520133 | + | 0.854085i | \(0.674118\pi\) | |||||||
\(114\) | 2958.45 | − | 953.307i | 2.43056 | − | 0.783205i | ||||
\(115\) | − | 327.452i | − | 0.265523i | ||||||
\(116\) | − | 93.1182i | − | 0.0745328i | ||||||
\(117\) | 874.153 | + | 1215.56i | 0.690731 | + | 0.960504i | ||||
\(118\) | −864.049 | + | 1956.82i | −0.674086 | + | 1.52661i | ||||
\(119\) | − | 98.1674i | − | 0.0756217i | ||||||
\(120\) | −721.327 | − | 2238.53i | −0.548732 | − | 1.70291i | ||||
\(121\) | −1162.05 | −0.873067 | ||||||||
\(122\) | 1286.19i | 0.954475i | ||||||||
\(123\) | 242.547 | + | 752.711i | 0.177803 | + | 0.551786i | ||||
\(124\) | − | 3196.04i | − | 2.31462i | ||||||
\(125\) | − | 256.585i | − | 0.183598i | ||||||
\(126\) | −935.252 | + | 672.572i | −0.661261 | + | 0.475535i | ||||
\(127\) | 1254.17 | 0.876294 | 0.438147 | − | 0.898903i | \(-0.355635\pi\) | ||||
0.438147 | + | 0.898903i | \(0.355635\pi\) | |||||||
\(128\) | 2625.14 | 1.81275 | ||||||||
\(129\) | 194.667 | + | 604.120i | 0.132864 | + | 0.412324i | ||||
\(130\) | −3997.08 | −2.69667 | ||||||||
\(131\) | 1262.94 | 0.842315 | 0.421157 | − | 0.906988i | \(-0.361624\pi\) | ||||
0.421157 | + | 0.906988i | \(0.361624\pi\) | |||||||
\(132\) | 917.945 | − | 295.791i | 0.605279 | − | 0.195040i | ||||
\(133\) | 1145.54 | 0.746849 | ||||||||
\(134\) | 4518.32i | 2.91286i | ||||||||
\(135\) | 1724.03 | + | 1271.91i | 1.09912 | + | 0.810878i | ||||
\(136\) | 321.892i | 0.202956i | ||||||||
\(137\) | − | 1067.52i | − | 0.665724i | −0.942975 | − | 0.332862i | \(-0.891986\pi\) | ||
0.942975 | − | 0.332862i | \(-0.108014\pi\) | |||||||
\(138\) | 500.574 | − | 161.301i | 0.308780 | − | 0.0994988i | ||||
\(139\) | 1083.44 | 0.661126 | 0.330563 | − | 0.943784i | \(-0.392761\pi\) | ||||
0.330563 | + | 0.943784i | \(0.392761\pi\) | |||||||
\(140\) | − | 1971.06i | − | 1.18989i | ||||||
\(141\) | −625.634 | + | 201.599i | −0.373673 | + | 0.120409i | ||||
\(142\) | 3019.79i | 1.78461i | ||||||||
\(143\) | − | 720.784i | − | 0.421503i | ||||||
\(144\) | 562.618 | − | 404.598i | 0.325589 | − | 0.234142i | ||||
\(145\) | −99.5832 | −0.0570341 | ||||||||
\(146\) | − | 4104.84i | − | 2.32684i | ||||||
\(147\) | 1292.29 | − | 416.416i | 0.725075 | − | 0.233642i | ||||
\(148\) | − | 2375.30i | − | 1.31925i | ||||||
\(149\) | 2330.79 | 1.28152 | 0.640758 | − | 0.767743i | \(-0.278620\pi\) | ||||
0.640758 | + | 0.767743i | \(0.278620\pi\) | |||||||
\(150\) | −2525.81 | + | 813.895i | −1.37487 | + | 0.443028i | ||||
\(151\) | − | 760.811i | − | 0.410026i | −0.978759 | − | 0.205013i | \(-0.934276\pi\) | ||
0.978759 | − | 0.205013i | \(-0.0657236\pi\) | |||||||
\(152\) | −3756.24 | −2.00442 | ||||||||
\(153\) | −171.198 | − | 238.061i | −0.0904609 | − | 0.125791i | ||||
\(154\) | 554.570 | 0.290185 | ||||||||
\(155\) | −3417.94 | −1.77120 | ||||||||
\(156\) | −1261.94 | − | 3916.24i | −0.647666 | − | 2.00994i | ||||
\(157\) | 3112.47i | 1.58218i | 0.611701 | + | 0.791089i | \(0.290485\pi\) | ||||
−0.611701 | + | 0.791089i | \(0.709515\pi\) | |||||||
\(158\) | −3153.55 | −1.58787 | ||||||||
\(159\) | −922.448 | − | 2862.68i | −0.460094 | − | 1.42783i | ||||
\(160\) | − | 1770.93i | − | 0.875025i | ||||||
\(161\) | 193.827 | 0.0948801 | ||||||||
\(162\) | −1095.11 | + | 3262.04i | −0.531112 | + | 1.58204i | ||||
\(163\) | −3254.31 | −1.56379 | −0.781893 | − | 0.623413i | \(-0.785746\pi\) | ||||
−0.781893 | + | 0.623413i | \(0.785746\pi\) | |||||||
\(164\) | − | 2173.24i | − | 1.03477i | ||||||
\(165\) | −316.327 | − | 981.676i | −0.149249 | − | 0.463172i | ||||
\(166\) | 5436.11 | 2.54171 | ||||||||
\(167\) | − | 1503.32i | − | 0.696587i | −0.937385 | − | 0.348294i | \(-0.886761\pi\) | ||
0.937385 | − | 0.348294i | \(-0.113239\pi\) | |||||||
\(168\) | 1325.04 | − | 426.970i | 0.608507 | − | 0.196080i | ||||
\(169\) | −878.088 | −0.399676 | ||||||||
\(170\) | 782.804 | 0.353167 | ||||||||
\(171\) | 2777.99 | − | 1997.75i | 1.24233 | − | 0.893402i | ||||
\(172\) | − | 1744.23i | − | 0.773234i | ||||||
\(173\) | 4365.91 | 1.91870 | 0.959348 | − | 0.282227i | \(-0.0910730\pi\) | ||||
0.959348 | + | 0.282227i | \(0.0910730\pi\) | |||||||
\(174\) | −49.0540 | − | 152.232i | −0.0213723 | − | 0.0663258i | ||||
\(175\) | −978.016 | −0.422463 | ||||||||
\(176\) | −333.612 | −0.142880 | ||||||||
\(177\) | −244.661 | + | 2342.09i | −0.103897 | + | 0.994588i | ||||
\(178\) | 2384.11 | 1.00391 | ||||||||
\(179\) | 2897.20 | 1.20976 | 0.604880 | − | 0.796317i | \(-0.293221\pi\) | ||||
0.604880 | + | 0.796317i | \(0.293221\pi\) | |||||||
\(180\) | −3437.41 | − | 4779.93i | −1.42339 | − | 1.97931i | ||||
\(181\) | 1411.26 | 0.579549 | 0.289774 | − | 0.957095i | \(-0.406420\pi\) | ||||
0.289774 | + | 0.957095i | \(0.406420\pi\) | |||||||
\(182\) | − | 2365.97i | − | 0.963611i | ||||||
\(183\) | 434.261 | + | 1347.67i | 0.175418 | + | 0.544385i | ||||
\(184\) | −635.561 | −0.254642 | ||||||||
\(185\) | −2540.21 | −1.00952 | ||||||||
\(186\) | −1683.65 | − | 5224.97i | −0.663717 | − | 2.05975i | ||||
\(187\) | 141.161i | 0.0552018i | ||||||||
\(188\) | 1806.34 | 0.700751 | ||||||||
\(189\) | −752.874 | + | 1020.49i | −0.289754 | + | 0.392751i | ||||
\(190\) | 9134.74i | 3.48791i | ||||||||
\(191\) | −3909.32 | −1.48099 | −0.740493 | − | 0.672064i | \(-0.765408\pi\) | ||||
−0.740493 | + | 0.672064i | \(0.765408\pi\) | |||||||
\(192\) | 3722.71 | − | 1199.58i | 1.39929 | − | 0.450896i | ||||
\(193\) | −318.770 | −0.118889 | −0.0594445 | − | 0.998232i | \(-0.518933\pi\) | ||||
−0.0594445 | + | 0.998232i | \(0.518933\pi\) | |||||||
\(194\) | 7095.32i | 2.62585i | ||||||||
\(195\) | −4188.14 | + | 1349.55i | −1.53805 | + | 0.495607i | ||||
\(196\) | −3731.12 | −1.35974 | ||||||||
\(197\) | 5007.83i | 1.81113i | 0.424206 | + | 0.905566i | \(0.360553\pi\) | ||||
−0.424206 | + | 0.905566i | \(0.639447\pi\) | |||||||
\(198\) | 1344.86 | − | 967.134i | 0.482702 | − | 0.347128i | ||||
\(199\) | −904.934 | −0.322357 | −0.161178 | − | 0.986925i | \(-0.551529\pi\) | ||||
−0.161178 | + | 0.986925i | \(0.551529\pi\) | |||||||
\(200\) | 3206.93 | 1.13382 | ||||||||
\(201\) | 1525.54 | + | 4734.29i | 0.535340 | + | 1.66135i | ||||
\(202\) | 8664.36 | 3.01793 | ||||||||
\(203\) | − | 58.9457i | − | 0.0203802i | ||||||
\(204\) | 247.143 | + | 766.972i | 0.0848209 | + | 0.263229i | ||||
\(205\) | −2324.13 | −0.791825 | ||||||||
\(206\) | 1645.81i | 0.556645i | ||||||||
\(207\) | 470.040 | − | 338.022i | 0.157826 | − | 0.113498i | ||||
\(208\) | 1423.29i | 0.474459i | ||||||||
\(209\) | −1647.25 | −0.545179 | ||||||||
\(210\) | −1038.34 | − | 3222.35i | −0.341202 | − | 1.05887i | ||||
\(211\) | 2400.18i | 0.783106i | 0.920156 | + | 0.391553i | \(0.128062\pi\) | ||||
−0.920156 | + | 0.391553i | \(0.871938\pi\) | |||||||
\(212\) | 8265.21i | 2.67763i | ||||||||
\(213\) | 1019.58 | + | 3164.13i | 0.327985 | + | 1.01785i | ||||
\(214\) | − | 2450.79i | − | 0.782862i | ||||||
\(215\) | −1865.33 | −0.591695 | ||||||||
\(216\) | 2468.68 | − | 3346.21i | 0.777651 | − | 1.05408i | ||||
\(217\) | − | 2023.16i | − | 0.632908i | ||||||
\(218\) | 8578.62i | 2.66522i | ||||||||
\(219\) | −1385.94 | − | 4301.05i | −0.427639 | − | 1.32711i | ||||
\(220\) | 2834.32i | 0.868590i | ||||||||
\(221\) | 602.238 | 0.183307 | ||||||||
\(222\) | −1251.29 | − | 3883.21i | −0.378294 | − | 1.17398i | ||||
\(223\) | −1236.31 | −0.371252 | −0.185626 | − | 0.982620i | \(-0.559431\pi\) | ||||
−0.185626 | + | 0.982620i | \(0.559431\pi\) | |||||||
\(224\) | 1048.25 | 0.312676 | ||||||||
\(225\) | −2371.74 | + | 1705.60i | −0.702737 | + | 0.505362i | ||||
\(226\) | 5898.12 | 1.73601 | ||||||||
\(227\) | 1595.09 | 0.466388 | 0.233194 | − | 0.972430i | \(-0.425082\pi\) | ||||
0.233194 | + | 0.972430i | \(0.425082\pi\) | |||||||
\(228\) | −8950.00 | + | 2883.97i | −2.59968 | + | 0.837701i | ||||
\(229\) | 895.868i | 0.258518i | 0.991611 | + | 0.129259i | \(0.0412599\pi\) | ||||
−0.991611 | + | 0.129259i | \(0.958740\pi\) | |||||||
\(230\) | 1545.61i | 0.443107i | ||||||||
\(231\) | 581.078 | − | 187.242i | 0.165507 | − | 0.0533316i | ||||
\(232\) | 193.284i | 0.0546970i | ||||||||
\(233\) | 4173.18 | 1.17336 | 0.586682 | − | 0.809817i | \(-0.300434\pi\) | ||||
0.586682 | + | 0.809817i | \(0.300434\pi\) | |||||||
\(234\) | −4126.10 | − | 5737.59i | −1.15270 | − | 1.60290i | ||||
\(235\) | − | 1931.75i | − | 0.536229i | ||||||
\(236\) | 2613.95 | − | 5919.83i | 0.720990 | − | 1.63283i | ||||
\(237\) | −3304.29 | + | 1064.75i | −0.905639 | + | 0.291826i | ||||
\(238\) | 463.361i | 0.126198i | ||||||||
\(239\) | − | 4715.74i | − | 1.27630i | −0.769911 | − | 0.638151i | \(-0.779700\pi\) | ||
0.769911 | − | 0.638151i | \(-0.220300\pi\) | |||||||
\(240\) | 624.634 | + | 1938.46i | 0.168000 | + | 0.521363i | ||||
\(241\) | 111.516 | 0.0298066 | 0.0149033 | − | 0.999889i | \(-0.495256\pi\) | ||||
0.0149033 | + | 0.999889i | \(0.495256\pi\) | |||||||
\(242\) | 5485.01 | 1.45698 | ||||||||
\(243\) | −46.0806 | + | 3787.71i | −0.0121649 | + | 0.999926i | ||||
\(244\) | − | 3891.01i | − | 1.02089i | ||||||
\(245\) | 3990.17i | 1.04050i | ||||||||
\(246\) | −1144.85 | − | 3552.88i | −0.296719 | − | 0.920826i | ||||
\(247\) | 7027.66i | 1.81036i | ||||||||
\(248\) | 6633.96i | 1.69862i | ||||||||
\(249\) | 5695.95 | − | 1835.42i | 1.44966 | − | 0.467128i | ||||
\(250\) | 1211.11i | 0.306390i | ||||||||
\(251\) | 504.008i | 0.126744i | 0.997990 | + | 0.0633719i | \(0.0201854\pi\) | ||||
−0.997990 | + | 0.0633719i | \(0.979815\pi\) | |||||||
\(252\) | 2829.35 | − | 2034.69i | 0.707272 | − | 0.508623i | ||||
\(253\) | −278.716 | −0.0692598 | ||||||||
\(254\) | −5919.80 | −1.46237 | ||||||||
\(255\) | 820.222 | − | 264.302i | 0.201429 | − | 0.0649067i | ||||
\(256\) | −6369.25 | −1.55499 | ||||||||
\(257\) | − | 1386.31i | − | 0.336480i | −0.985746 | − | 0.168240i | \(-0.946192\pi\) | ||
0.985746 | − | 0.168240i | \(-0.0538084\pi\) | |||||||
\(258\) | −918.848 | − | 2851.51i | −0.221725 | − | 0.688091i | ||||
\(259\) | − | 1503.61i | − | 0.360734i | ||||||
\(260\) | 12092.1 | 2.88431 | ||||||||
\(261\) | −102.798 | − | 142.946i | −0.0243794 | − | 0.0339010i | ||||
\(262\) | −5961.19 | −1.40566 | ||||||||
\(263\) | − | 7832.10i | − | 1.83630i | −0.396228 | − | 0.918152i | \(-0.629681\pi\) | ||
0.396228 | − | 0.918152i | \(-0.370319\pi\) | |||||||
\(264\) | −1905.36 | + | 613.968i | −0.444193 | + | 0.143133i | ||||
\(265\) | 8839.05 | 2.04897 | ||||||||
\(266\) | −5407.07 | −1.24635 | ||||||||
\(267\) | 2498.06 | − | 804.956i | 0.572581 | − | 0.184504i | ||||
\(268\) | − | 13669.0i | − | 3.11554i | ||||||
\(269\) | −711.848 | −0.161346 | −0.0806731 | − | 0.996741i | \(-0.525707\pi\) | ||||
−0.0806731 | + | 0.996741i | \(0.525707\pi\) | |||||||
\(270\) | −8137.60 | − | 6003.55i | −1.83422 | − | 1.35320i | ||||
\(271\) | −2607.47 | −0.584474 | −0.292237 | − | 0.956346i | \(-0.594400\pi\) | ||||
−0.292237 | + | 0.956346i | \(0.594400\pi\) | |||||||
\(272\) | − | 278.743i | − | 0.0621371i | ||||||
\(273\) | −798.832 | − | 2479.06i | −0.177097 | − | 0.549595i | ||||
\(274\) | 5038.80i | 1.11097i | ||||||||
\(275\) | 1406.35 | 0.308386 | ||||||||
\(276\) | −1514.35 | + | 487.972i | −0.330265 | + | 0.106422i | ||||
\(277\) | −5056.77 | −1.09687 | −0.548433 | − | 0.836195i | \(-0.684775\pi\) | ||||
−0.548433 | + | 0.836195i | \(0.684775\pi\) | |||||||
\(278\) | −5113.98 | −1.10329 | ||||||||
\(279\) | −3528.26 | − | 4906.26i | −0.757102 | − | 1.05280i | ||||
\(280\) | 4091.30i | 0.873221i | ||||||||
\(281\) | − | 559.120i | − | 0.118699i | −0.998237 | − | 0.0593493i | \(-0.981097\pi\) | ||
0.998237 | − | 0.0593493i | \(-0.0189026\pi\) | |||||||
\(282\) | 2953.06 | − | 951.569i | 0.623589 | − | 0.200940i | ||||
\(283\) | − | 4024.72i | − | 0.845387i | −0.906273 | − | 0.422693i | \(-0.861085\pi\) | ||
0.906273 | − | 0.422693i | \(-0.138915\pi\) | |||||||
\(284\) | − | 9135.56i | − | 1.90879i | ||||||
\(285\) | 3084.20 | + | 9571.38i | 0.641026 | + | 1.98933i | ||||
\(286\) | 3402.18i | 0.703409i | ||||||||
\(287\) | − | 1375.71i | − | 0.282946i | ||||||
\(288\) | 2542.07 | − | 1828.09i | 0.520114 | − | 0.374032i | ||||
\(289\) | 4795.06 | 0.975993 | ||||||||
\(290\) | 470.044 | 0.0951790 | ||||||||
\(291\) | 2395.62 | + | 7434.47i | 0.482591 | + | 1.49765i | ||||
\(292\) | 12418.1i | 2.48875i | ||||||||
\(293\) | − | 736.817i | − | 0.146912i | −0.997298 | − | 0.0734562i | \(-0.976597\pi\) | ||
0.997298 | − | 0.0734562i | \(-0.0234029\pi\) | |||||||
\(294\) | −6099.73 | + | 1965.53i | −1.21001 | + | 0.389905i | ||||
\(295\) | −6330.83 | − | 2795.43i | −1.24948 | − | 0.551716i | ||||
\(296\) | 4930.37i | 0.968148i | ||||||||
\(297\) | 1082.61 | − | 1467.43i | 0.211512 | − | 0.286698i | ||||
\(298\) | −11001.6 | −2.13861 | ||||||||
\(299\) | 1189.09i | 0.229990i | ||||||||
\(300\) | 7641.14 | − | 2462.22i | 1.47054 | − | 0.473855i | ||||
\(301\) | − | 1104.13i | − | 0.211432i | ||||||
\(302\) | 3591.11i | 0.684255i | ||||||||
\(303\) | 9078.51 | − | 2925.39i | 1.72128 | − | 0.554650i | ||||
\(304\) | 3252.72 | 0.613673 | ||||||||
\(305\) | −4161.16 | −0.781204 | ||||||||
\(306\) | 808.072 | + | 1123.67i | 0.150962 | + | 0.209922i | ||||
\(307\) | −452.628 | −0.0841461 | −0.0420730 | − | 0.999115i | \(-0.513396\pi\) | ||||
−0.0420730 | + | 0.999115i | \(0.513396\pi\) | |||||||
\(308\) | −1677.70 | −0.310376 | ||||||||
\(309\) | 555.682 | + | 1724.48i | 0.102303 | + | 0.317483i | ||||
\(310\) | 16133.0 | 2.95579 | ||||||||
\(311\) | 3689.41i | 0.672692i | 0.941738 | + | 0.336346i | \(0.109191\pi\) | ||||
−0.941738 | + | 0.336346i | \(0.890809\pi\) | |||||||
\(312\) | 2619.38 | + | 8128.87i | 0.475299 | + | 1.47502i | ||||
\(313\) | − | 10707.6i | − | 1.93364i | −0.255450 | − | 0.966822i | \(-0.582224\pi\) | ||
0.255450 | − | 0.966822i | \(-0.417776\pi\) | |||||||
\(314\) | − | 14691.2i | − | 2.64035i | ||||||
\(315\) | −2175.95 | − | 3025.79i | −0.389209 | − | 0.541219i | ||||
\(316\) | 9540.21 | 1.69835 | ||||||||
\(317\) | 4660.59i | 0.825756i | 0.910786 | + | 0.412878i | \(0.135476\pi\) | ||||
−0.910786 | + | 0.412878i | \(0.864524\pi\) | |||||||
\(318\) | 4354.05 | + | 13512.2i | 0.767809 | + | 2.38278i | ||||
\(319\) | 84.7618i | 0.0148770i | ||||||||
\(320\) | 11494.5i | 2.00801i | ||||||||
\(321\) | −827.471 | − | 2567.94i | −0.143878 | − | 0.446505i | ||||
\(322\) | −914.884 | −0.158337 | ||||||||
\(323\) | − | 1376.33i | − | 0.237092i | ||||||
\(324\) | 3312.97 | − | 9868.43i | 0.568067 | − | 1.69212i | ||||
\(325\) | − | 5999.94i | − | 1.02405i | ||||||
\(326\) | 15360.7 | 2.60966 | ||||||||
\(327\) | 2896.44 | + | 8988.67i | 0.489827 | + | 1.52011i | ||||
\(328\) | 4510.96i | 0.759379i | ||||||||
\(329\) | 1143.45 | 0.191613 | ||||||||
\(330\) | 1493.10 | + | 4633.62i | 0.249068 | + | 0.772946i | ||||
\(331\) | 8908.61 | 1.47934 | 0.739670 | − | 0.672969i | \(-0.234981\pi\) | ||||
0.739670 | + | 0.672969i | \(0.234981\pi\) | |||||||
\(332\) | −16445.5 | −2.71856 | ||||||||
\(333\) | −2622.21 | − | 3646.34i | −0.431520 | − | 0.600055i | ||||
\(334\) | 7095.81i | 1.16247i | ||||||||
\(335\) | −14618.0 | −2.38407 | ||||||||
\(336\) | −1147.42 | + | 369.736i | −0.186301 | + | 0.0600320i | ||||
\(337\) | 3654.41i | 0.590707i | 0.955388 | + | 0.295354i | \(0.0954375\pi\) | ||||
−0.955388 | + | 0.295354i | \(0.904563\pi\) | |||||||
\(338\) | 4144.67 | 0.666983 | ||||||||
\(339\) | 6180.05 | − | 1991.41i | 0.990131 | − | 0.319052i | ||||
\(340\) | −2368.16 | −0.377740 | ||||||||
\(341\) | 2909.23i | 0.462005i | ||||||||
\(342\) | −13112.4 | + | 9429.59i | −2.07321 | + | 1.49092i | ||||
\(343\) | −5462.31 | −0.859874 | ||||||||
\(344\) | 3620.46i | 0.567449i | ||||||||
\(345\) | 521.851 | + | 1619.49i | 0.0814363 | + | 0.252726i | ||||
\(346\) | −20607.6 | −3.20194 | ||||||||
\(347\) | 3873.17 | 0.599200 | 0.299600 | − | 0.954065i | \(-0.403147\pi\) | ||||
0.299600 | + | 0.954065i | \(0.403147\pi\) | |||||||
\(348\) | 148.400 | + | 460.537i | 0.0228594 | + | 0.0709408i | ||||
\(349\) | 1703.25i | 0.261241i | 0.991432 | + | 0.130620i | \(0.0416969\pi\) | ||||
−0.991432 | + | 0.130620i | \(0.958303\pi\) | |||||||
\(350\) | 4616.34 | 0.705011 | ||||||||
\(351\) | −6260.53 | − | 4618.73i | −0.952030 | − | 0.702364i | ||||
\(352\) | −1507.35 | −0.228245 | ||||||||
\(353\) | −853.113 | −0.128631 | −0.0643153 | − | 0.997930i | \(-0.520486\pi\) | ||||
−0.0643153 | + | 0.997930i | \(0.520486\pi\) | |||||||
\(354\) | 1154.82 | − | 11054.9i | 0.173385 | − | 1.65978i | ||||
\(355\) | −9769.82 | −1.46064 | ||||||||
\(356\) | −7212.47 | −1.07376 | ||||||||
\(357\) | 156.446 | + | 485.509i | 0.0231933 | + | 0.0719772i | ||||
\(358\) | −13675.1 | −2.01886 | ||||||||
\(359\) | 6930.62i | 1.01890i | 0.860501 | + | 0.509448i | \(0.170151\pi\) | ||||
−0.860501 | + | 0.509448i | \(0.829849\pi\) | |||||||
\(360\) | 7134.97 | + | 9921.61i | 1.04457 | + | 1.45254i | ||||
\(361\) | 9201.70 | 1.34155 | ||||||||
\(362\) | −6661.31 | −0.967157 | ||||||||
\(363\) | 5747.19 | − | 1851.93i | 0.830990 | − | 0.267772i | ||||
\(364\) | 7157.60i | 1.03066i | ||||||||
\(365\) | 13280.3 | 1.90444 | ||||||||
\(366\) | −2049.76 | − | 6361.13i | −0.292739 | − | 0.908474i | ||||
\(367\) | − | 9975.19i | − | 1.41880i | −0.704804 | − | 0.709402i | \(-0.748965\pi\) | ||
0.704804 | − | 0.709402i | \(-0.251035\pi\) | |||||||
\(368\) | 550.365 | 0.0779613 | ||||||||
\(369\) | −2399.15 | − | 3336.16i | −0.338468 | − | 0.470660i | ||||
\(370\) | 11990.1 | 1.68469 | ||||||||
\(371\) | 5232.04i | 0.732167i | ||||||||
\(372\) | 5093.44 | + | 15806.7i | 0.709899 | + | 2.20307i | ||||
\(373\) | −12889.7 | −1.78928 | −0.894642 | − | 0.446784i | \(-0.852569\pi\) | ||||
−0.894642 | + | 0.446784i | \(0.852569\pi\) | |||||||
\(374\) | − | 666.296i | − | 0.0921212i | ||||||
\(375\) | 408.913 | + | 1269.00i | 0.0563098 | + | 0.174749i | ||||
\(376\) | −3749.39 | −0.514256 | ||||||||
\(377\) | 361.620 | 0.0494016 | ||||||||
\(378\) | 3553.65 | − | 4816.84i | 0.483544 | − | 0.655427i | ||||
\(379\) | 9726.01 | 1.31818 | 0.659092 | − | 0.752062i | \(-0.270941\pi\) | ||||
0.659092 | + | 0.752062i | \(0.270941\pi\) | |||||||
\(380\) | − | 27634.7i | − | 3.73061i | ||||||
\(381\) | −6202.77 | + | 1998.73i | −0.834061 | + | 0.268761i | ||||
\(382\) | 18452.4 | 2.47148 | ||||||||
\(383\) | − | 6768.75i | − | 0.903047i | −0.892259 | − | 0.451524i | \(-0.850881\pi\) | ||
0.892259 | − | 0.451524i | \(-0.149119\pi\) | |||||||
\(384\) | −12983.2 | + | 4183.61i | −1.72538 | + | 0.555974i | ||||
\(385\) | 1794.18i | 0.237506i | ||||||||
\(386\) | 1504.63 | 0.198403 | ||||||||
\(387\) | −1925.54 | − | 2677.58i | −0.252921 | − | 0.351703i | ||||
\(388\) | − | 21465.0i | − | 2.80855i | ||||||
\(389\) | − | 6858.16i | − | 0.893888i | −0.894562 | − | 0.446944i | \(-0.852512\pi\) | ||
0.894562 | − | 0.446944i | \(-0.147488\pi\) | |||||||
\(390\) | 19768.5 | − | 6370.03i | 2.56671 | − | 0.827074i | ||||
\(391\) | − | 232.876i | − | 0.0301204i | ||||||
\(392\) | 7744.62 | 0.997863 | ||||||||
\(393\) | −6246.14 | + | 2012.70i | −0.801720 | + | 0.258340i | ||||
\(394\) | − | 23637.5i | − | 3.02243i | ||||||
\(395\) | − | 10202.6i | − | 1.29961i | ||||||
\(396\) | −4068.51 | + | 2925.81i | −0.516289 | + | 0.371281i | ||||
\(397\) | 7447.83i | 0.941552i | 0.882253 | + | 0.470776i | \(0.156026\pi\) | ||||
−0.882253 | + | 0.470776i | \(0.843974\pi\) | |||||||
\(398\) | 4271.38 | 0.537953 | ||||||||
\(399\) | −5665.53 | + | 1825.61i | −0.710855 | + | 0.229060i | ||||
\(400\) | −2777.04 | −0.347130 | ||||||||
\(401\) | −4411.38 | −0.549362 | −0.274681 | − | 0.961535i | \(-0.588572\pi\) | ||||
−0.274681 | + | 0.961535i | \(0.588572\pi\) | |||||||
\(402\) | −7200.71 | − | 22346.4i | −0.893380 | − | 2.77248i | ||||
\(403\) | 12411.7 | 1.53417 | ||||||||
\(404\) | −26211.7 | −3.22792 | ||||||||
\(405\) | −10553.6 | − | 3542.98i | −1.29484 | − | 0.434697i | ||||
\(406\) | 278.230i | 0.0340107i | ||||||||
\(407\) | 2162.14i | 0.263325i | ||||||||
\(408\) | −512.990 | − | 1591.99i | −0.0622470 | − | 0.193175i | ||||
\(409\) | 669.354i | 0.0809228i | 0.999181 | + | 0.0404614i | \(0.0128828\pi\) | ||||
−0.999181 | + | 0.0404614i | \(0.987117\pi\) | |||||||
\(410\) | 10970.1 | 1.32141 | ||||||||
\(411\) | 1701.27 | + | 5279.65i | 0.204179 | + | 0.633640i | ||||
\(412\) | − | 4978.95i | − | 0.595377i | ||||||
\(413\) | 1654.68 | − | 3747.37i | 0.197147 | − | 0.446480i | ||||
\(414\) | −2218.64 | + | 1595.50i | −0.263382 | + | 0.189407i | ||||
\(415\) | 17587.3i | 2.08030i | ||||||||
\(416\) | 6430.83i | 0.757926i | ||||||||
\(417\) | −5358.42 | + | 1726.65i | −0.629264 | + | 0.202769i | ||||
\(418\) | 7775.18 | 0.909800 | ||||||||
\(419\) | 616.743 | 0.0719090 | 0.0359545 | − | 0.999353i | \(-0.488553\pi\) | ||||
0.0359545 | + | 0.999353i | \(0.488553\pi\) | |||||||
\(420\) | 3141.23 | + | 9748.34i | 0.364943 | + | 1.13255i | ||||
\(421\) | 7169.53i | 0.829979i | 0.909826 | + | 0.414990i | \(0.136215\pi\) | ||||
−0.909826 | + | 0.414990i | \(0.863785\pi\) | |||||||
\(422\) | − | 11329.1i | − | 1.30685i | ||||||
\(423\) | 2772.93 | − | 1994.11i | 0.318734 | − | 0.229212i | ||||
\(424\) | − | 17155.9i | − | 1.96501i | ||||||
\(425\) | 1175.05i | 0.134114i | ||||||||
\(426\) | −4812.55 | − | 14935.0i | −0.547344 | − | 1.69860i | ||||
\(427\) | − | 2463.09i | − | 0.279151i | ||||||
\(428\) | 7414.21i | 0.837334i | ||||||||
\(429\) | 1148.69 | + | 3564.80i | 0.129276 | + | 0.401189i | ||||
\(430\) | 8804.55 | 0.987426 | ||||||||
\(431\) | 13322.7 | 1.48894 | 0.744468 | − | 0.667659i | \(-0.232703\pi\) | ||||
0.744468 | + | 0.667659i | \(0.232703\pi\) | |||||||
\(432\) | −2137.76 | + | 2897.66i | −0.238086 | + | 0.322717i | ||||
\(433\) | 5914.82 | 0.656462 | 0.328231 | − | 0.944598i | \(-0.393548\pi\) | ||||
0.328231 | + | 0.944598i | \(0.393548\pi\) | |||||||
\(434\) | 9549.52i | 1.05620i | ||||||||
\(435\) | 492.511 | − | 158.703i | 0.0542853 | − | 0.0174925i | ||||
\(436\) | − | 25952.3i | − | 2.85067i | ||||||
\(437\) | 2717.49 | 0.297472 | ||||||||
\(438\) | 6541.77 | + | 20301.4i | 0.713648 | + | 2.21470i | ||||
\(439\) | −9240.25 | −1.00459 | −0.502293 | − | 0.864698i | \(-0.667510\pi\) | ||||
−0.502293 | + | 0.864698i | \(0.667510\pi\) | |||||||
\(440\) | − | 5883.14i | − | 0.637427i | ||||||
\(441\) | −5727.67 | + | 4118.96i | −0.618472 | + | 0.444764i | ||||
\(442\) | −2842.63 | −0.305905 | ||||||||
\(443\) | −8689.46 | −0.931938 | −0.465969 | − | 0.884801i | \(-0.654294\pi\) | ||||
−0.465969 | + | 0.884801i | \(0.654294\pi\) | |||||||
\(444\) | 3785.45 | + | 11747.6i | 0.404616 | + | 1.25567i | ||||
\(445\) | 7713.22i | 0.821667i | ||||||||
\(446\) | 5835.50 | 0.619550 | ||||||||
\(447\) | −11527.5 | + | 3714.52i | −1.21975 | + | 0.393044i | ||||
\(448\) | −6803.89 | −0.717530 | ||||||||
\(449\) | − | 952.486i | − | 0.100113i | −0.998746 | − | 0.0500563i | \(-0.984060\pi\) | ||
0.998746 | − | 0.0500563i | \(-0.0159401\pi\) | |||||||
\(450\) | 11194.9 | − | 8050.61i | 1.17274 | − | 0.843354i | ||||
\(451\) | 1978.22i | 0.206543i | ||||||||
\(452\) | −17843.2 | −1.85680 | ||||||||
\(453\) | 1212.48 | + | 3762.76i | 0.125756 | + | 0.390265i | ||||
\(454\) | −7529.01 | −0.778313 | ||||||||
\(455\) | 7654.54 | 0.788682 | ||||||||
\(456\) | 18577.3 | − | 5986.21i | 1.90781 | − | 0.614759i | ||||
\(457\) | − | 10514.9i | − | 1.07629i | −0.842852 | − | 0.538146i | \(-0.819125\pi\) | ||
0.842852 | − | 0.538146i | \(-0.180875\pi\) | |||||||
\(458\) | − | 4228.60i | − | 0.431418i | ||||||
\(459\) | 1226.09 | + | 904.551i | 0.124682 | + | 0.0919844i | ||||
\(460\) | − | 4675.83i | − | 0.473938i | ||||||
\(461\) | − | 2406.90i | − | 0.243168i | −0.992581 | − | 0.121584i | \(-0.961203\pi\) | ||
0.992581 | − | 0.121584i | \(-0.0387974\pi\) | |||||||
\(462\) | −2742.75 | + | 883.801i | −0.276200 | + | 0.0890004i | ||||
\(463\) | 9106.31i | 0.914052i | 0.889453 | + | 0.457026i | \(0.151085\pi\) | ||||
−0.889453 | + | 0.457026i | \(0.848915\pi\) | |||||||
\(464\) | − | 167.374i | − | 0.0167460i | ||||||
\(465\) | 16904.2 | − | 5447.07i | 1.68583 | − | 0.543229i | ||||
\(466\) | −19697.8 | −1.95812 | ||||||||
\(467\) | −2006.05 | −0.198777 | −0.0993883 | − | 0.995049i | \(-0.531689\pi\) | ||||
−0.0993883 | + | 0.995049i | \(0.531689\pi\) | |||||||
\(468\) | 12482.4 | + | 17357.5i | 1.23290 | + | 1.71443i | ||||
\(469\) | − | 8652.72i | − | 0.851910i | ||||||
\(470\) | 9118.09i | 0.894864i | ||||||||
\(471\) | −4960.25 | − | 15393.4i | −0.485257 | − | 1.50593i | ||||
\(472\) | −5425.72 | + | 12287.7i | −0.529108 | + | 1.19828i | ||||
\(473\) | 1587.70i | 0.154340i | ||||||||
\(474\) | 15596.6 | − | 5025.72i | 1.51134 | − | 0.487002i | ||||
\(475\) | −13712.0 | −1.32452 | ||||||||
\(476\) | − | 1401.77i | − | 0.134979i | ||||||
\(477\) | 9124.35 | + | 12688.0i | 0.875839 | + | 1.21791i | ||||
\(478\) | 22258.8i | 2.12991i | ||||||||
\(479\) | − | 5805.96i | − | 0.553822i | −0.960896 | − | 0.276911i | \(-0.910689\pi\) | ||
0.960896 | − | 0.276911i | \(-0.0893108\pi\) | |||||||
\(480\) | 2822.27 | + | 8758.51i | 0.268372 | + | 0.832853i | ||||
\(481\) | 9224.38 | 0.874419 | ||||||||
\(482\) | −526.369 | −0.0497416 | ||||||||
\(483\) | −958.615 | + | 308.896i | −0.0903074 | + | 0.0290999i | ||||
\(484\) | −16593.4 | −1.55836 | ||||||||
\(485\) | −22955.2 | −2.14916 | ||||||||
\(486\) | 217.506 | − | 17878.4i | 0.0203009 | − | 1.66869i | ||||
\(487\) | 12433.3 | 1.15689 | 0.578444 | − | 0.815722i | \(-0.303660\pi\) | ||||
0.578444 | + | 0.815722i | \(0.303660\pi\) | |||||||
\(488\) | 8076.51i | 0.749193i | ||||||||
\(489\) | 16094.9 | − | 5186.30i | 1.48842 | − | 0.479616i | ||||
\(490\) | − | 18834.0i | − | 1.73640i | ||||||
\(491\) | 15237.2i | 1.40050i | 0.713897 | + | 0.700251i | \(0.246928\pi\) | ||||
−0.713897 | + | 0.700251i | \(0.753072\pi\) | |||||||
\(492\) | 3463.44 | + | 10748.3i | 0.317365 | + | 0.984897i | ||||
\(493\) | −70.8212 | −0.00646983 | ||||||||
\(494\) | − | 33171.3i | − | 3.02115i | ||||||
\(495\) | 3128.94 | + | 4350.98i | 0.284112 | + | 0.395075i | ||||
\(496\) | − | 5744.69i | − | 0.520049i | ||||||
\(497\) | − | 5782.99i | − | 0.521937i | ||||||
\(498\) | −26885.5 | + | 8663.36i | −2.41921 | + | 0.779547i | ||||
\(499\) | 341.264 | 0.0306154 | 0.0153077 | − | 0.999883i | \(-0.495127\pi\) | ||||
0.0153077 | + | 0.999883i | \(0.495127\pi\) | |||||||
\(500\) | − | 3663.89i | − | 0.327708i | ||||||
\(501\) | 2395.79 | + | 7434.99i | 0.213645 | + | 0.663016i | ||||
\(502\) | − | 2378.97i | − | 0.211511i | ||||||
\(503\) | −1834.71 | −0.162636 | −0.0813179 | − | 0.996688i | \(-0.525913\pi\) | ||||
−0.0813179 | + | 0.996688i | \(0.525913\pi\) | |||||||
\(504\) | −5872.84 | + | 4223.36i | −0.519042 | + | 0.373261i | ||||
\(505\) | 28031.5i | 2.47007i | ||||||||
\(506\) | 1315.57 | 0.115582 | ||||||||
\(507\) | 4342.78 | − | 1399.38i | 0.380414 | − | 0.122581i | ||||
\(508\) | 17908.8 | 1.56412 | ||||||||
\(509\) | 12183.2 | 1.06093 | 0.530465 | − | 0.847707i | \(-0.322018\pi\) | ||||
0.530465 | + | 0.847707i | \(0.322018\pi\) | |||||||
\(510\) | −3871.54 | + | 1247.53i | −0.336146 | + | 0.108317i | ||||
\(511\) | 7860.90i | 0.680520i | ||||||||
\(512\) | 9062.40 | 0.782237 | ||||||||
\(513\) | −10555.4 | + | 14307.5i | −0.908449 | + | 1.23137i | ||||
\(514\) | 6543.52i | 0.561522i | ||||||||
\(515\) | −5324.63 | −0.455595 | ||||||||
\(516\) | 2779.73 | + | 8626.48i | 0.237153 | + | 0.735968i | ||||
\(517\) | −1644.24 | −0.139872 | ||||||||
\(518\) | 7097.22i | 0.601996i | ||||||||
\(519\) | −21592.6 | + | 6957.83i | −1.82623 | + | 0.588468i | ||||
\(520\) | −25099.3 | −2.11669 | ||||||||
\(521\) | 2837.05i | 0.238567i | 0.992860 | + | 0.119284i | \(0.0380598\pi\) | ||||
−0.992860 | + | 0.119284i | \(0.961940\pi\) | |||||||
\(522\) | 485.216 | + | 674.722i | 0.0406845 | + | 0.0565743i | ||||
\(523\) | 6034.65 | 0.504545 | 0.252272 | − | 0.967656i | \(-0.418822\pi\) | ||||
0.252272 | + | 0.967656i | \(0.418822\pi\) | |||||||
\(524\) | 18034.0 | 1.50347 | ||||||||
\(525\) | 4837.00 | − | 1558.64i | 0.402103 | − | 0.129570i | ||||
\(526\) | 36968.4i | 3.06444i | ||||||||
\(527\) | −2430.75 | −0.200921 | ||||||||
\(528\) | 1649.95 | − | 531.667i | 0.135994 | − | 0.0438217i | ||||
\(529\) | −11707.2 | −0.962209 | ||||||||
\(530\) | −41721.2 | −3.41935 | ||||||||
\(531\) | −2522.49 | − | 11973.2i | −0.206152 | − | 0.978520i | ||||
\(532\) | 16357.6 | 1.33307 | ||||||||
\(533\) | 8439.70 | 0.685861 | ||||||||
\(534\) | −11791.1 | + | 3799.48i | −0.955528 | + | 0.307902i | ||||
\(535\) | 7928.96 | 0.640746 | ||||||||
\(536\) | 28372.4i | 2.28638i | ||||||||
\(537\) | −14328.8 | + | 4617.18i | −1.15146 | + | 0.371036i | ||||
\(538\) | 3360.00 | 0.269256 | ||||||||
\(539\) | 3396.29 | 0.271407 | ||||||||
\(540\) | 24618.1 | + | 18162.1i | 1.96184 | + | 1.44736i | ||||
\(541\) | 16326.5i | 1.29747i | 0.761013 | + | 0.648736i | \(0.224702\pi\) | ||||
−0.761013 | + | 0.648736i | \(0.775298\pi\) | |||||||
\(542\) | 12307.5 | 0.975375 | ||||||||
\(543\) | −6979.72 | + | 2249.09i | −0.551618 | + | 0.177749i | ||||
\(544\) | − | 1259.44i | − | 0.0992611i | ||||||
\(545\) | −27754.1 | −2.18139 | ||||||||
\(546\) | 3770.57 | + | 11701.4i | 0.295541 | + | 0.917170i | ||||
\(547\) | 16651.3 | 1.30157 | 0.650784 | − | 0.759263i | \(-0.274440\pi\) | ||||
0.650784 | + | 0.759263i | \(0.274440\pi\) | |||||||
\(548\) | − | 15243.5i | − | 1.18827i | ||||||
\(549\) | −4295.47 | − | 5973.12i | −0.333928 | − | 0.464347i | ||||
\(550\) | −6638.13 | −0.514638 | ||||||||
\(551\) | − | 826.431i | − | 0.0638968i | ||||||
\(552\) | 3143.31 | − | 1012.88i | 0.242370 | − | 0.0780993i | ||||
\(553\) | 6039.15 | 0.464395 | ||||||||
\(554\) | 23868.5 | 1.83046 | ||||||||
\(555\) | 12563.2 | − | 4048.27i | 0.960862 | − | 0.309620i | ||||
\(556\) | 15471.0 | 1.18006 | ||||||||
\(557\) | − | 16078.8i | − | 1.22312i | −0.791197 | − | 0.611561i | \(-0.790542\pi\) | ||
0.791197 | − | 0.611561i | \(-0.209458\pi\) | |||||||
\(558\) | 16653.8 | + | 23158.1i | 1.26346 | + | 1.75692i | ||||
\(559\) | 6773.64 | 0.512512 | ||||||||
\(560\) | − | 3542.87i | − | 0.267346i | ||||||
\(561\) | −224.964 | − | 698.145i | −0.0169305 | − | 0.0525413i | ||||
\(562\) | 2639.11i | 0.198086i | ||||||||
\(563\) | −8735.26 | −0.653903 | −0.326951 | − | 0.945041i | \(-0.606021\pi\) | ||||
−0.326951 | + | 0.945041i | \(0.606021\pi\) | |||||||
\(564\) | −8933.68 | + | 2878.72i | −0.666979 | + | 0.214922i | ||||
\(565\) | 19082.0i | 1.42086i | ||||||||
\(566\) | 18997.1i | 1.41079i | ||||||||
\(567\) | 2097.18 | − | 6246.92i | 0.155332 | − | 0.462691i | ||||
\(568\) | 18962.5i | 1.40079i | ||||||||
\(569\) | 14260.2 | 1.05064 | 0.525322 | − | 0.850903i | \(-0.323945\pi\) | ||||
0.525322 | + | 0.850903i | \(0.323945\pi\) | |||||||
\(570\) | −14557.8 | − | 45177.9i | −1.06975 | − | 3.31982i | ||||
\(571\) | 9210.71i | 0.675055i | 0.941316 | + | 0.337527i | \(0.109591\pi\) | ||||
−0.941316 | + | 0.337527i | \(0.890409\pi\) | |||||||
\(572\) | − | 10292.4i | − | 0.752353i | ||||||
\(573\) | 19334.4 | − | 6230.17i | 1.40961 | − | 0.454222i | ||||
\(574\) | 6493.49i | 0.472183i | ||||||||
\(575\) | −2320.09 | −0.168268 | ||||||||
\(576\) | −16499.8 | + | 11865.6i | −1.19356 | + | 0.858330i | ||||
\(577\) | −7145.53 | −0.515550 | −0.257775 | − | 0.966205i | \(-0.582989\pi\) | ||||
−0.257775 | + | 0.966205i | \(0.582989\pi\) | |||||||
\(578\) | −22633.2 | −1.62875 | ||||||||
\(579\) | 1576.55 | − | 508.015i | 0.113159 | − | 0.0364635i | ||||
\(580\) | −1421.99 | −0.101802 | ||||||||
\(581\) | −10410.3 | −0.743361 | ||||||||
\(582\) | −11307.6 | − | 35091.5i | −0.805352 | − | 2.49929i | ||||
\(583\) | − | 7523.49i | − | 0.534462i | ||||||
\(584\) | − | 25776.0i | − | 1.82640i | ||||||
\(585\) | 18562.6 | − | 13349.0i | 1.31192 | − | 0.943443i | ||||
\(586\) | 3477.86i | 0.245169i | ||||||||
\(587\) | 23849.3 | 1.67695 | 0.838473 | − | 0.544943i | \(-0.183449\pi\) | ||||
0.838473 | + | 0.544943i | \(0.183449\pi\) | |||||||
\(588\) | 18453.1 | − | 5946.18i | 1.29421 | − | 0.417034i | ||||
\(589\) | − | 28365.1i | − | 1.98432i | ||||||
\(590\) | 29882.2 | + | 13194.7i | 2.08514 | + | 0.920709i | ||||
\(591\) | −7980.83 | − | 24767.3i | −0.555478 | − | 1.72385i | ||||
\(592\) | − | 4269.46i | − | 0.296409i | ||||||
\(593\) | − | 22393.0i | − | 1.55071i | −0.631526 | − | 0.775355i | \(-0.717571\pi\) | ||
0.631526 | − | 0.775355i | \(-0.282429\pi\) | |||||||
\(594\) | −5110.02 | + | 6926.45i | −0.352974 | + | 0.478444i | ||||
\(595\) | −1499.10 | −0.103289 | ||||||||
\(596\) | 33282.3 | 2.28741 | ||||||||
\(597\) | 4475.55 | − | 1442.17i | 0.306821 | − | 0.0988676i | ||||
\(598\) | − | 5612.63i | − | 0.383809i | ||||||
\(599\) | 1908.02i | 0.130150i | 0.997880 | + | 0.0650749i | \(0.0207286\pi\) | ||||
−0.997880 | + | 0.0650749i | \(0.979271\pi\) | |||||||
\(600\) | −15860.6 | + | 5110.79i | −1.07918 | + | 0.347745i | ||||
\(601\) | 3985.09i | 0.270475i | 0.990813 | + | 0.135237i | \(0.0431797\pi\) | ||||
−0.990813 | + | 0.135237i | \(0.956820\pi\) | |||||||
\(602\) | 5211.62i | 0.352840i | ||||||||
\(603\) | −15089.8 | − | 20983.3i | −1.01908 | − | 1.41709i | ||||
\(604\) | − | 10863.9i | − | 0.731866i | ||||||
\(605\) | 17745.5i | 1.19249i | ||||||||
\(606\) | −42851.6 | + | 13808.1i | −2.87248 | + | 0.925606i | ||||
\(607\) | −18670.7 | −1.24847 | −0.624235 | − | 0.781237i | \(-0.714589\pi\) | ||||
−0.624235 | + | 0.781237i | \(0.714589\pi\) | |||||||
\(608\) | 14696.7 | 0.980314 | ||||||||
\(609\) | 93.9400 | + | 291.529i | 0.00625064 | + | 0.0193980i | ||||
\(610\) | 19641.1 | 1.30368 | ||||||||
\(611\) | 7014.86i | 0.464469i | ||||||||
\(612\) | −2444.60 | − | 3399.37i | −0.161466 | − | 0.224528i | ||||
\(613\) | 9951.11i | 0.655663i | 0.944736 | + | 0.327832i | \(0.106318\pi\) | ||||
−0.944736 | + | 0.327832i | \(0.893682\pi\) | |||||||
\(614\) | 2136.45 | 0.140424 | ||||||||
\(615\) | 11494.5 | − | 3703.90i | 0.753664 | − | 0.242855i | ||||
\(616\) | 3482.37 | 0.227774 | ||||||||
\(617\) | 15527.0i | 1.01311i | 0.862206 | + | 0.506557i | \(0.169082\pi\) | ||||
−0.862206 | + | 0.506557i | \(0.830918\pi\) | |||||||
\(618\) | −2622.88 | − | 8139.72i | −0.170724 | − | 0.529818i | ||||
\(619\) | 9610.37 | 0.624028 | 0.312014 | − | 0.950077i | \(-0.398996\pi\) | ||||
0.312014 | + | 0.950077i | \(0.398996\pi\) | |||||||
\(620\) | −48806.1 | −3.16145 | ||||||||
\(621\) | −1786.00 | + | 2420.85i | −0.115410 | + | 0.156434i | ||||
\(622\) | − | 17414.4i | − | 1.12260i | ||||||
\(623\) | −4565.64 | −0.293609 | ||||||||
\(624\) | −2268.26 | − | 7039.21i | −0.145518 | − | 0.451593i | ||||
\(625\) | −17443.0 | −1.11635 | ||||||||
\(626\) | 50541.1i | 3.22689i | ||||||||
\(627\) | 8146.83 | − | 2625.17i | 0.518904 | − | 0.167208i | ||||
\(628\) | 44444.2i | 2.82407i | ||||||||
\(629\) | −1806.54 | −0.114517 | ||||||||
\(630\) | 10270.7 | + | 14282.1i | 0.649516 | + | 0.903192i | ||||
\(631\) | 22899.0 | 1.44468 | 0.722342 | − | 0.691536i | \(-0.243066\pi\) | ||||
0.722342 | + | 0.691536i | \(0.243066\pi\) | |||||||
\(632\) | −19802.4 | −1.24636 | ||||||||
\(633\) | −3825.10 | − | 11870.6i | −0.240180 | − | 0.745364i | ||||
\(634\) | − | 21998.5i | − | 1.37803i | ||||||
\(635\) | − | 19152.1i | − | 1.19690i | ||||||
\(636\) | −13172.0 | − | 40877.5i | −0.821234 | − | 2.54858i | ||||
\(637\) | − | 14489.6i | − | 0.901257i | ||||||
\(638\) | − | 400.085i | − | 0.0248268i | ||||||
\(639\) | −10085.2 | − | 14024.1i | −0.624356 | − | 0.868205i | ||||
\(640\) | − | 40088.0i | − | 2.47597i | ||||||
\(641\) | 15494.1i | 0.954728i | 0.878706 | + | 0.477364i | \(0.158408\pi\) | ||||
−0.878706 | + | 0.477364i | \(0.841592\pi\) | |||||||
\(642\) | 3905.75 | + | 12120.9i | 0.240106 | + | 0.745133i | ||||
\(643\) | 5728.58 | 0.351342 | 0.175671 | − | 0.984449i | \(-0.443790\pi\) | ||||
0.175671 | + | 0.984449i | \(0.443790\pi\) | |||||||
\(644\) | 2767.74 | 0.169354 | ||||||||
\(645\) | 9225.40 | − | 2972.72i | 0.563178 | − | 0.181474i | ||||
\(646\) | 6496.41i | 0.395662i | ||||||||
\(647\) | − | 25348.3i | − | 1.54026i | −0.637889 | − | 0.770128i | \(-0.720192\pi\) | ||
0.637889 | − | 0.770128i | \(-0.279808\pi\) | |||||||
\(648\) | −6876.67 | + | 20483.7i | −0.416884 | + | 1.24178i | ||||
\(649\) | −2379.37 | + | 5388.59i | −0.143912 | + | 0.325918i | ||||
\(650\) | 28320.3i | 1.70895i | ||||||||
\(651\) | 3224.25 | + | 10006.0i | 0.194114 | + | 0.602405i | ||||
\(652\) | −46469.6 | −2.79124 | ||||||||
\(653\) | 5226.26i | 0.313199i | 0.987662 | + | 0.156600i | \(0.0500533\pi\) | ||||
−0.987662 | + | 0.156600i | \(0.949947\pi\) | |||||||
\(654\) | −13671.5 | − | 42427.5i | −0.817428 | − | 2.53677i | ||||
\(655\) | − | 19286.1i | − | 1.15049i | ||||||
\(656\) | − | 3906.28i | − | 0.232492i | ||||||
\(657\) | 13708.9 | + | 19063.1i | 0.814058 | + | 1.13200i | ||||
\(658\) | −5397.22 | −0.319765 | ||||||||
\(659\) | −11053.9 | −0.653411 | −0.326706 | − | 0.945126i | \(-0.605939\pi\) | ||||
−0.326706 | + | 0.945126i | \(0.605939\pi\) | |||||||
\(660\) | −4516.97 | − | 14017.8i | −0.266398 | − | 0.826729i | ||||
\(661\) | −20881.3 | −1.22873 | −0.614365 | − | 0.789022i | \(-0.710588\pi\) | ||||
−0.614365 | + | 0.789022i | \(0.710588\pi\) | |||||||
\(662\) | −42049.6 | −2.46874 | ||||||||
\(663\) | −2978.50 | + | 959.769i | −0.174473 | + | 0.0562207i | ||||
\(664\) | 34135.6 | 1.99506 | ||||||||
\(665\) | − | 17493.3i | − | 1.02009i | ||||||
\(666\) | 12377.1 | + | 17211.1i | 0.720125 | + | 1.00138i | ||||
\(667\) | − | 139.833i | − | 0.00811748i | ||||||
\(668\) | − | 21466.5i | − | 1.24336i | ||||||
\(669\) | 6114.44 | − | 1970.27i | 0.353360 | − | 0.113864i | ||||
\(670\) | 68998.4 | 3.97857 | ||||||||
\(671\) | 3541.84i | 0.203772i | ||||||||
\(672\) | −5184.37 | + | 1670.57i | −0.297606 | + | 0.0958983i | ||||
\(673\) | − | 5558.12i | − | 0.318350i | −0.987250 | − | 0.159175i | \(-0.949117\pi\) | ||
0.987250 | − | 0.159175i | \(-0.0508834\pi\) | |||||||
\(674\) | − | 17249.2i | − | 0.985778i | ||||||
\(675\) | 9011.81 | − | 12215.2i | 0.513874 | − | 0.696538i | ||||
\(676\) | −12538.6 | −0.713393 | ||||||||
\(677\) | − | 442.874i | − | 0.0251419i | −0.999921 | − | 0.0125709i | \(-0.995998\pi\) | ||
0.999921 | − | 0.0125709i | \(-0.00400156\pi\) | |||||||
\(678\) | −29170.5 | + | 9399.67i | −1.65234 | + | 0.532437i | ||||
\(679\) | − | 13587.8i | − | 0.767968i | ||||||
\(680\) | 4915.55 | 0.277210 | ||||||||
\(681\) | −7888.90 | + | 2542.05i | −0.443911 | + | 0.143042i | ||||
\(682\) | − | 13731.9i | − | 0.770998i | ||||||
\(683\) | 13997.4 | 0.784180 | 0.392090 | − | 0.919927i | \(-0.371752\pi\) | ||||
0.392090 | + | 0.919927i | \(0.371752\pi\) | |||||||
\(684\) | 39668.1 | − | 28526.7i | 2.21747 | − | 1.59466i | ||||
\(685\) | −16301.9 | −0.909288 | ||||||||
\(686\) | 25782.7 | 1.43497 | ||||||||
\(687\) | −1427.72 | − | 4430.72i | −0.0792881 | − | 0.246059i | ||||
\(688\) | − | 3135.15i | − | 0.173730i | ||||||
\(689\) | −32097.6 | −1.77477 | ||||||||
\(690\) | −2463.19 | − | 7644.17i | −0.135902 | − | 0.421751i | ||||
\(691\) | 14932.8i | 0.822100i | 0.911613 | + | 0.411050i | \(0.134838\pi\) | ||||
−0.911613 | + | 0.411050i | \(0.865162\pi\) | |||||||
\(692\) | 62342.7 | 3.42473 | ||||||||
\(693\) | −2575.45 | + | 1852.09i | −0.141174 | + | 0.101523i | ||||
\(694\) | −18281.8 | −0.999951 | ||||||||
\(695\) | − | 16545.1i | − | 0.903008i | ||||||
\(696\) | −308.031 | − | 955.929i | −0.0167757 | − | 0.0520609i | ||||
\(697\) | −1652.86 | −0.0898231 | ||||||||
\(698\) | − | 8039.54i | − | 0.435962i | ||||||
\(699\) | −20639.4 | + | 6650.67i | −1.11681 | + | 0.359873i | ||||
\(700\) | −13965.5 | −0.754066 | ||||||||
\(701\) | −18225.0 | −0.981952 | −0.490976 | − | 0.871173i | \(-0.663360\pi\) | ||||
−0.490976 | + | 0.871173i | \(0.663360\pi\) | |||||||
\(702\) | 29550.4 | + | 21800.9i | 1.58876 | + | 1.17211i | ||||
\(703\) | − | 21081.0i | − | 1.13099i | ||||||
\(704\) | 9783.75 | 0.523777 | ||||||||
\(705\) | 3078.58 | + | 9553.93i | 0.164463 | + | 0.510386i | ||||
\(706\) | 4026.78 | 0.214660 | ||||||||
\(707\) | −16592.5 | −0.882640 | ||||||||
\(708\) | −3493.61 | + | 33443.6i | −0.185449 | + | 1.77527i | ||||
\(709\) | 29479.6 | 1.56153 | 0.780767 | − | 0.624822i | \(-0.214828\pi\) | ||||
0.780767 | + | 0.624822i | \(0.214828\pi\) | |||||||
\(710\) | 46114.6 | 2.43754 | ||||||||
\(711\) | 14645.2 | − | 10531.9i | 0.772489 | − | 0.555523i | ||||
\(712\) | 14970.8 | 0.787997 | ||||||||
\(713\) | − | 4799.41i | − | 0.252089i | ||||||
\(714\) | −738.444 | − | 2291.65i | −0.0387053 | − | 0.120116i | ||||
\(715\) | −11007.0 | −0.575716 | ||||||||
\(716\) | 41370.3 | 2.15933 | ||||||||
\(717\) | 7515.35 | + | 23322.8i | 0.391445 | + | 1.21479i | ||||
\(718\) | − | 32713.3i | − | 1.70035i | ||||||
\(719\) | 17184.2 | 0.891325 | 0.445663 | − | 0.895201i | \(-0.352968\pi\) | ||||
0.445663 | + | 0.895201i | \(0.352968\pi\) | |||||||
\(720\) | −6178.54 | − | 8591.64i | −0.319806 | − | 0.444710i | ||||
\(721\) | − | 3151.78i | − | 0.162799i | ||||||
\(722\) | −43433.0 | −2.23879 | ||||||||
\(723\) | −551.529 | + | 177.720i | −0.0283701 | + | 0.00914175i | ||||
\(724\) | 20152.0 | 1.03445 | ||||||||
\(725\) | 705.573i | 0.0361439i | ||||||||
\(726\) | −27127.4 | + | 8741.30i | −1.38676 | + | 0.446860i | ||||
\(727\) | 7341.84 | 0.374544 | 0.187272 | − | 0.982308i | \(-0.440035\pi\) | ||||
0.187272 | + | 0.982308i | \(0.440035\pi\) | |||||||
\(728\) | − | 14856.9i | − | 0.756364i | ||||||
\(729\) | −5808.47 | − | 18806.4i | −0.295101 | − | 0.955466i | ||||
\(730\) | −62684.3 | −3.17815 | ||||||||
\(731\) | −1326.58 | −0.0671207 | ||||||||
\(732\) | 6201.00 | + | 19243.9i | 0.313108 | + | 0.971687i | ||||
\(733\) | −24371.5 | −1.22808 | −0.614040 | − | 0.789275i | \(-0.710457\pi\) | ||||
−0.614040 | + | 0.789275i | \(0.710457\pi\) | |||||||
\(734\) | 47084.0i | 2.36771i | ||||||||
\(735\) | −6359.01 | − | 19734.3i | −0.319123 | − | 0.990353i | ||||
\(736\) | 2486.71 | 0.124540 | ||||||||
\(737\) | 12442.3i | 0.621870i | ||||||||
\(738\) | 11324.2 | + | 15747.0i | 0.564838 | + | 0.785443i | ||||
\(739\) | − | 24359.0i | − | 1.21253i | −0.795262 | − | 0.606265i | \(-0.792667\pi\) | ||
0.795262 | − | 0.606265i | \(-0.207333\pi\) | |||||||
\(740\) | −36272.8 | −1.80191 | ||||||||
\(741\) | −11199.8 | − | 34756.9i | −0.555242 | − | 1.72311i | ||||
\(742\) | − | 24695.8i | − | 1.22185i | ||||||
\(743\) | 13871.0i | 0.684895i | 0.939537 | + | 0.342447i | \(0.111256\pi\) | ||||
−0.939537 | + | 0.342447i | \(0.888744\pi\) | |||||||
\(744\) | −10572.4 | − | 32809.8i | −0.520969 | − | 1.61675i | ||||
\(745\) | − | 35593.1i | − | 1.75038i | ||||||
\(746\) | 60840.7 | 2.98597 | ||||||||
\(747\) | −25245.6 | + | 18154.9i | −1.23653 | + | 0.889229i | ||||
\(748\) | 2015.70i | 0.0985311i | ||||||||
\(749\) | 4693.34i | 0.228960i | ||||||||
\(750\) | −1930.11 | − | 5989.82i | −0.0939703 | − | 0.291623i | ||||
\(751\) | 36319.4i | 1.76473i | 0.470563 | + | 0.882366i | \(0.344051\pi\) | ||||
−0.470563 | + | 0.882366i | \(0.655949\pi\) | |||||||
\(752\) | 3246.79 | 0.157445 | ||||||||
\(753\) | −803.223 | − | 2492.69i | −0.0388726 | − | 0.120635i | ||||
\(754\) | −1706.89 | −0.0824419 | ||||||||
\(755\) | −11618.2 | −0.560039 | ||||||||
\(756\) | −10750.6 | + | 14572.1i | −0.517190 | + | 0.701033i | ||||
\(757\) | −2905.61 | −0.139506 | −0.0697530 | − | 0.997564i | \(-0.522221\pi\) | ||||
−0.0697530 | + | 0.997564i | \(0.522221\pi\) | |||||||
\(758\) | −45907.8 | −2.19980 | ||||||||
\(759\) | 1378.45 | − | 444.182i | 0.0659219 | − | 0.0212421i | ||||
\(760\) | 57360.8i | 2.73776i | ||||||||
\(761\) | − | 30835.4i | − | 1.46883i | −0.678699 | − | 0.734416i | \(-0.737456\pi\) | ||
0.678699 | − | 0.734416i | \(-0.262544\pi\) | |||||||
\(762\) | 29277.7 | − | 9434.22i | 1.39189 | − | 0.448511i | ||||
\(763\) | − | 16428.3i | − | 0.779483i | ||||||
\(764\) | −55822.8 | −2.64345 | ||||||||
\(765\) | −3635.38 | + | 2614.33i | −0.171814 | + | 0.123557i | ||||
\(766\) | 31949.2i | 1.50701i | ||||||||
\(767\) | 22989.4 | + | 10151.2i | 1.08227 | + | 0.477884i | ||||
\(768\) | 31500.5 | − | 10150.5i | 1.48005 | − | 0.476919i | ||||
\(769\) | 25096.4i | 1.17685i | 0.808551 | + | 0.588426i | \(0.200252\pi\) | ||||
−0.808551 | + | 0.588426i | \(0.799748\pi\) | |||||||
\(770\) | − | 8468.73i | − | 0.396353i | ||||||
\(771\) | 2209.32 | + | 6856.30i | 0.103199 | + | 0.320264i | ||||
\(772\) | −4551.86 | −0.212208 | ||||||||
\(773\) | 33445.3 | 1.55620 | 0.778100 | − | 0.628140i | \(-0.216183\pi\) | ||||
0.778100 | + | 0.628140i | \(0.216183\pi\) | |||||||
\(774\) | 9088.74 | + | 12638.5i | 0.422078 | + | 0.586925i | ||||
\(775\) | 24217.0i | 1.12245i | ||||||||
\(776\) | 44554.4i | 2.06110i | ||||||||
\(777\) | 2396.27 | + | 7436.46i | 0.110638 | + | 0.343348i | ||||
\(778\) | 32371.3i | 1.49173i | ||||||||
\(779\) | − | 19287.7i | − | 0.887103i | ||||||
\(780\) | −59804.2 | + | 19270.8i | −2.74530 | + | 0.884623i | ||||
\(781\) | 8315.74i | 0.380999i | ||||||||
\(782\) | 1099.20i | 0.0502652i | ||||||||
\(783\) | 736.218 | + | 543.148i | 0.0336019 | + | 0.0247899i | ||||
\(784\) | −6706.47 | −0.305506 | ||||||||
\(785\) | 47529.9 | 2.16104 | ||||||||
\(786\) | 29482.4 | − | 9500.18i | 1.33792 | − | 0.431120i | ||||
\(787\) | −8933.60 | −0.404636 | −0.202318 | − | 0.979320i | \(-0.564847\pi\) | ||||
−0.202318 | + | 0.979320i | \(0.564847\pi\) | |||||||
\(788\) | 71508.9i | 3.23274i | ||||||||
\(789\) | 12481.8 | + | 38735.4i | 0.563199 | + | 1.74780i | ||||
\(790\) | 48157.2i | 2.16881i | ||||||||
\(791\) | −11295.1 | −0.507721 | ||||||||
\(792\) | 8444.94 | − | 6073.04i | 0.378886 | − | 0.272470i | ||||
\(793\) | 15110.6 | 0.676661 | ||||||||
\(794\) | − | 35154.6i | − | 1.57127i | ||||||
\(795\) | −43715.5 | + | 14086.5i | −1.95023 | + | 0.628425i | ||||
\(796\) | −12921.9 | −0.575384 | ||||||||
\(797\) | 9071.76 | 0.403185 | 0.201592 | − | 0.979470i | \(-0.435388\pi\) | ||||
0.201592 | + | 0.979470i | \(0.435388\pi\) | |||||||
\(798\) | 26741.9 | − | 8617.09i | 1.18628 | − | 0.382258i | ||||
\(799\) | − | 1373.82i | − | 0.0608288i | ||||||
\(800\) | −12547.5 | −0.554525 | ||||||||
\(801\) | −11071.9 | + | 7962.19i | −0.488398 | + | 0.351223i | ||||
\(802\) | 20822.2 | 0.916780 | ||||||||
\(803\) | − | 11303.7i | − | 0.496761i | ||||||
\(804\) | 21783.8 | + | 67602.9i | 0.955542 | + | 2.96539i | ||||
\(805\) | − | 2959.89i | − | 0.129593i | ||||||
\(806\) | −58584.5 | −2.56024 | ||||||||
\(807\) | 3520.61 | − | 1134.45i | 0.153570 | − | 0.0494852i | ||||
\(808\) | 54407.1 | 2.36886 | ||||||||
\(809\) | 1584.99 | 0.0688815 | 0.0344407 | − | 0.999407i | \(-0.489035\pi\) | ||||
0.0344407 | + | 0.999407i | \(0.489035\pi\) | |||||||
\(810\) | 49814.0 | + | 16723.3i | 2.16085 | + | 0.725426i | ||||
\(811\) | − | 11234.9i | − | 0.486449i | −0.969970 | − | 0.243225i | \(-0.921795\pi\) | ||
0.969970 | − | 0.243225i | \(-0.0782052\pi\) | |||||||
\(812\) | − | 841.710i | − | 0.0363771i | ||||||
\(813\) | 12895.8 | − | 4155.44i | 0.556305 | − | 0.179259i | ||||
\(814\) | − | 10205.6i | − | 0.439440i | ||||||
\(815\) | 49695.9i | 2.13592i | ||||||||
\(816\) | 444.225 | + | 1378.59i | 0.0190576 | + | 0.0591424i | ||||
\(817\) | − | 15480.2i | − | 0.662891i | ||||||
\(818\) | − | 3159.42i | − | 0.135045i | ||||||
\(819\) | 7901.61 | + | 10987.7i | 0.337124 | + | 0.468792i | ||||
\(820\) | −33187.2 | −1.41335 | ||||||||
\(821\) | 5078.49 | 0.215884 | 0.107942 | − | 0.994157i | \(-0.465574\pi\) | ||||
0.107942 | + | 0.994157i | \(0.465574\pi\) | |||||||
\(822\) | −8030.19 | − | 24920.5i | −0.340736 | − | 1.05743i | ||||
\(823\) | − | 21231.6i | − | 0.899255i | −0.893216 | − | 0.449627i | \(-0.851557\pi\) | ||
0.893216 | − | 0.449627i | \(-0.148443\pi\) | |||||||
\(824\) | 10334.7i | 0.436926i | ||||||||
\(825\) | −6955.43 | + | 2241.26i | −0.293524 | + | 0.0945827i | ||||
\(826\) | −7810.28 | + | 17688.0i | −0.329000 | + | 0.745090i | ||||
\(827\) | 35632.1i | 1.49825i | 0.662431 | + | 0.749123i | \(0.269525\pi\) | ||||
−0.662431 | + | 0.749123i | \(0.730475\pi\) | |||||||
\(828\) | 6711.90 | − | 4826.76i | 0.281709 | − | 0.202586i | ||||
\(829\) | −12717.0 | −0.532787 | −0.266393 | − | 0.963864i | \(-0.585832\pi\) | ||||
−0.266393 | + | 0.963864i | \(0.585832\pi\) | |||||||
\(830\) | − | 83013.7i | − | 3.47163i | ||||||
\(831\) | 25009.4 | − | 8058.83i | 1.04400 | − | 0.336411i | ||||
\(832\) | − | 41740.5i | − | 1.73929i | ||||||
\(833\) | 2837.71i | 0.118032i | ||||||||
\(834\) | 25292.3 | − | 8149.99i | 1.05012 | − | 0.338383i | ||||
\(835\) | −22956.9 | −0.951443 | ||||||||
\(836\) | −23521.7 | −0.973104 | ||||||||
\(837\) | 25268.8 | + | 18642.2i | 1.04351 | + | 0.769853i | ||||
\(838\) | −2911.09 | −0.120002 | ||||||||
\(839\) | 8378.65 | 0.344771 | 0.172386 | − | 0.985030i | \(-0.444852\pi\) | ||||
0.172386 | + | 0.985030i | \(0.444852\pi\) | |||||||
\(840\) | −6520.18 | − | 20234.4i | −0.267819 | − | 0.831137i | ||||
\(841\) | 24346.5 | 0.998256 | ||||||||
\(842\) | − | 33840.9i | − | 1.38508i | ||||||
\(843\) | 891.054 | + | 2765.26i | 0.0364051 | + | 0.112978i | ||||
\(844\) | 34273.2i | 1.39779i | ||||||||
\(845\) | 13409.1i | 0.545903i | ||||||||
\(846\) | −13088.5 | + | 9412.41i | −0.531906 | + | 0.382512i | ||||
\(847\) | −10504.0 | −0.426117 | ||||||||
\(848\) | 14856.2i | 0.601609i | ||||||||
\(849\) | 6414.07 | + | 19905.1i | 0.259282 | + | 0.804644i | ||||
\(850\) | − | 5546.37i | − | 0.223811i | ||||||
\(851\) | − | 3566.93i | − | 0.143681i | ||||||
\(852\) | 14559.1 | + | 45182.0i | 0.585429 | + | 1.81679i | ||||
\(853\) | −21970.7 | −0.881904 | −0.440952 | − | 0.897531i | \(-0.645359\pi\) | ||||
−0.440952 | + | 0.897531i | \(0.645359\pi\) | |||||||
\(854\) | 11626.1i | 0.465849i | ||||||||
\(855\) | −30507.3 | − | 42422.2i | −1.22026 | − | 1.69685i | ||||
\(856\) | − | 15389.5i | − | 0.614490i | ||||||
\(857\) | 20745.2 | 0.826887 | 0.413444 | − | 0.910530i | \(-0.364326\pi\) | ||||
0.413444 | + | 0.910530i | \(0.364326\pi\) | |||||||
\(858\) | −5421.95 | − | 16826.2i | −0.215737 | − | 0.669508i | ||||
\(859\) | − | 34709.1i | − | 1.37865i | −0.724453 | − | 0.689324i | \(-0.757907\pi\) | ||
0.724453 | − | 0.689324i | \(-0.242093\pi\) | |||||||
\(860\) | −26635.8 | −1.05613 | ||||||||
\(861\) | 2192.42 | + | 6803.87i | 0.0867801 | + | 0.269309i | ||||
\(862\) | −62884.5 | −2.48475 | ||||||||
\(863\) | −47925.2 | −1.89038 | −0.945188 | − | 0.326528i | \(-0.894121\pi\) | ||||
−0.945188 | + | 0.326528i | \(0.894121\pi\) | |||||||
\(864\) | −9659.00 | + | 13092.4i | −0.380331 | + | 0.515525i | ||||
\(865\) | − | 66671.1i | − | 2.62067i | ||||||
\(866\) | −27918.6 | −1.09551 | ||||||||
\(867\) | −23715.0 | + | 7641.74i | −0.928956 | + | 0.299339i | ||||
\(868\) | − | 28889.5i | − | 1.12969i | ||||||
\(869\) | −8684.08 | −0.338996 | ||||||||
\(870\) | −2324.71 | + | 749.095i | −0.0905919 | + | 0.0291916i | ||||
\(871\) | 53082.8 | 2.06503 | ||||||||
\(872\) | 53868.7i | 2.09200i | ||||||||
\(873\) | −23696.2 | − | 32951.0i | −0.918665 | − | 1.27746i | ||||
\(874\) | −12826.9 | −0.496424 | ||||||||
\(875\) | − | 2319.32i | − | 0.0896082i | ||||||
\(876\) | −19790.4 | − | 61416.5i | −0.763304 | − | 2.36880i | ||||
\(877\) | 13299.1 | 0.512064 | 0.256032 | − | 0.966668i | \(-0.417585\pi\) | ||||
0.256032 | + | 0.966668i | \(0.417585\pi\) | |||||||
\(878\) | 43615.0 | 1.67646 | ||||||||
\(879\) | 1174.24 | + | 3644.10i | 0.0450583 | + | 0.139832i | ||||
\(880\) | 5094.52i | 0.195155i | ||||||||
\(881\) | 20829.3 | 0.796546 | 0.398273 | − | 0.917267i | \(-0.369610\pi\) | ||||
0.398273 | + | 0.917267i | \(0.369610\pi\) | |||||||
\(882\) | 27035.2 | − | 19441.9i | 1.03211 | − | 0.742227i | ||||
\(883\) | 14321.4 | 0.545815 | 0.272908 | − | 0.962040i | \(-0.412015\pi\) | ||||
0.272908 | + | 0.962040i | \(0.412015\pi\) | |||||||
\(884\) | 8599.60 | 0.327190 | ||||||||
\(885\) | 35765.6 | + | 3736.17i | 1.35847 | + | 0.141909i | ||||
\(886\) | 41015.2 | 1.55523 | ||||||||
\(887\) | 41356.9 | 1.56554 | 0.782768 | − | 0.622314i | \(-0.213807\pi\) | ||||
0.782768 | + | 0.622314i | \(0.213807\pi\) | |||||||
\(888\) | −7857.39 | − | 24384.3i | −0.296933 | − | 0.921489i | ||||
\(889\) | 11336.6 | 0.427691 | ||||||||
\(890\) | − | 36407.2i | − | 1.37121i | ||||||
\(891\) | −3015.67 | + | 8982.85i | −0.113388 | + | 0.337752i | ||||
\(892\) | −17653.7 | −0.662658 | ||||||||
\(893\) | 16031.4 | 0.600752 | ||||||||
\(894\) | 54410.8 | − | 17532.9i | 2.03554 | − | 0.655915i | ||||
\(895\) | − | 44242.6i | − | 1.65237i | ||||||
\(896\) | 23729.1 | 0.884746 | ||||||||
\(897\) | −1895.02 | − | 5880.92i | −0.0705383 | − | 0.218905i | ||||
\(898\) | 4495.84i | 0.167069i | ||||||||
\(899\) | −1459.57 | −0.0541485 | ||||||||
\(900\) | −33867.0 | + | 24354.9i | −1.25433 | + | 0.902035i | ||||
\(901\) | 6286.12 | 0.232432 | ||||||||
\(902\) | − | 9337.40i | − | 0.344680i | ||||||
\(903\) | 1759.62 | + | 5460.74i | 0.0648467 | + | 0.201242i | ||||
\(904\) | 37036.8 | 1.36264 | ||||||||
\(905\) | − | 21551.1i | − | 0.791584i | ||||||
\(906\) | −5723.05 | − | 17760.6i | −0.209863 | − | 0.651278i | ||||
\(907\) | −47348.2 | −1.73338 | −0.866688 | − | 0.498850i | \(-0.833756\pi\) | ||||
−0.866688 | + | 0.498850i | \(0.833756\pi\) | |||||||
\(908\) | 22777.0 | 0.832469 | ||||||||
\(909\) | −40237.7 | + | 28936.3i | −1.46821 | + | 1.05584i | ||||
\(910\) | −36130.2 | −1.31616 | ||||||||
\(911\) | 15642.4i | 0.568886i | 0.958693 | + | 0.284443i | \(0.0918086\pi\) | ||||
−0.958693 | + | 0.284443i | \(0.908191\pi\) | |||||||
\(912\) | −16087.1 | + | 5183.77i | −0.584097 | + | 0.188215i | ||||
\(913\) | 14969.7 | 0.542633 | ||||||||
\(914\) | 49631.4i | 1.79613i | ||||||||
\(915\) | 20580.0 | − | 6631.52i | 0.743555 | − | 0.239597i | ||||
\(916\) | 12792.5i | 0.461436i | ||||||||
\(917\) | 11415.9 | 0.411107 | ||||||||
\(918\) | −5787.27 | − | 4269.58i | −0.208070 | − | 0.153505i | ||||
\(919\) | 44271.9i | 1.58911i | 0.607189 | + | 0.794557i | \(0.292297\pi\) | ||||
−0.607189 | + | 0.794557i | \(0.707703\pi\) | |||||||
\(920\) | 9705.53i | 0.347806i | ||||||||
\(921\) | 2238.57 | − | 721.340i | 0.0800907 | − | 0.0258078i | ||||
\(922\) | 11360.8i | 0.405801i | ||||||||
\(923\) | 35477.5 | 1.26518 | ||||||||
\(924\) | 8297.45 | − | 2673.70i | 0.295418 | − | 0.0951931i | ||||
\(925\) | 17998.1i | 0.639755i | ||||||||
\(926\) | − | 42982.8i | − | 1.52538i | ||||||
\(927\) | −5496.50 | − | 7643.22i | −0.194745 | − | 0.270805i | ||||
\(928\) | − | 756.245i | − | 0.0267510i | ||||||
\(929\) | −26327.2 | −0.929781 | −0.464891 | − | 0.885368i | \(-0.653906\pi\) | ||||
−0.464891 | + | 0.885368i | \(0.653906\pi\) | |||||||
\(930\) | −79789.5 | + | 25710.7i | −2.81334 | + | 0.906547i | ||||
\(931\) | −33114.0 | −1.16570 | ||||||||
\(932\) | 59590.5 | 2.09437 | ||||||||
\(933\) | −5879.71 | − | 18246.8i | −0.206316 | − | 0.640272i | ||||
\(934\) | 9468.75 | 0.331721 | ||||||||
\(935\) | 2155.65 | 0.0753980 | ||||||||
\(936\) | −25909.5 | − | 36028.7i | −0.904784 | − | 1.25816i | ||||
\(937\) | − | 21202.5i | − | 0.739226i | −0.929186 | − | 0.369613i | \(-0.879490\pi\) | ||
0.929186 | − | 0.369613i | \(-0.120510\pi\) | |||||||
\(938\) | 40841.8i | 1.42168i | ||||||||
\(939\) | 17064.4 | + | 52957.0i | 0.593053 | + | 1.84045i | ||||
\(940\) | − | 27584.3i | − | 0.957129i | ||||||
\(941\) | −14857.3 | −0.514700 | −0.257350 | − | 0.966318i | \(-0.582849\pi\) | ||||
−0.257350 | + | 0.966318i | \(0.582849\pi\) | |||||||
\(942\) | 23412.9 | + | 72658.5i | 0.809802 | + | 2.51310i | ||||
\(943\) | − | 3263.50i | − | 0.112698i | ||||||
\(944\) | 4698.42 | − | 10640.5i | 0.161992 | − | 0.366865i | ||||
\(945\) | 15583.8 | + | 11497.0i | 0.536444 | + | 0.395764i | ||||
\(946\) | − | 7494.13i | − | 0.257564i | ||||||
\(947\) | 37914.2i | 1.30100i | 0.759507 | + | 0.650499i | \(0.225440\pi\) | ||||
−0.759507 | + | 0.650499i | \(0.774560\pi\) | |||||||
\(948\) | −47183.3 | + | 15204.0i | −1.61650 | + | 0.520888i | ||||
\(949\) | −48225.1 | −1.64958 | ||||||||
\(950\) | 64722.0 | 2.21038 | ||||||||
\(951\) | −7427.45 | − | 23050.0i | −0.253261 | − | 0.785960i | ||||
\(952\) | 2909.63i | 0.0990565i | ||||||||
\(953\) | 32091.4i | 1.09081i | 0.838172 | + | 0.545406i | \(0.183624\pi\) | ||||
−0.838172 | + | 0.545406i | \(0.816376\pi\) | |||||||
\(954\) | −43067.9 | − | 59888.6i | −1.46161 | − | 2.03246i | ||||
\(955\) | 59698.4i | 2.02282i | ||||||||
\(956\) | − | 67338.1i | − | 2.27811i | ||||||
\(957\) | −135.082 | − | 419.209i | −0.00456280 | − | 0.0141600i | ||||
\(958\) | 27404.7i | 0.924224i | ||||||||
\(959\) | − | 9649.47i | − | 0.324919i | ||||||
\(960\) | −18318.5 | − | 56848.8i | −0.615862 | − | 1.91124i | ||||
\(961\) | −20305.1 | −0.681584 | ||||||||
\(962\) | −43540.1 | −1.45924 | ||||||||
\(963\) | 8184.89 | + | 11381.6i | 0.273888 | + | 0.380859i | ||||
\(964\) | 1592.39 | 0.0532026 | ||||||||
\(965\) | 4867.88i | 0.162386i | ||||||||
\(966\) | 4524.77 | − | 1458.02i | 0.150706 | − | 0.0485623i | ||||
\(967\) | − | 38746.0i | − | 1.28851i | −0.764812 | − | 0.644254i | \(-0.777168\pi\) | ||
0.764812 | − | 0.644254i | \(-0.222832\pi\) | |||||||
\(968\) | 34442.7 | 1.14363 | ||||||||
\(969\) | 2193.41 | + | 6806.93i | 0.0727167 | + | 0.225666i | ||||
\(970\) | 108351. | 3.58654 | ||||||||
\(971\) | 35781.2i | 1.18257i | 0.806463 | + | 0.591284i | \(0.201379\pi\) | ||||
−0.806463 | + | 0.591284i | \(0.798621\pi\) | |||||||
\(972\) | −658.005 | + | 54086.4i | −0.0217135 | + | 1.78479i | ||||
\(973\) | 9793.43 | 0.322675 | ||||||||
\(974\) | −58686.3 | −1.93063 | ||||||||
\(975\) | 9561.92 | + | 29674.0i | 0.314079 | + | 0.974697i | ||||
\(976\) | − | 6993.86i | − | 0.229373i | ||||||
\(977\) | −20376.5 | −0.667250 | −0.333625 | − | 0.942706i | \(-0.608272\pi\) | ||||
−0.333625 | + | 0.942706i | \(0.608272\pi\) | |||||||
\(978\) | −75969.8 | + | 24479.9i | −2.48389 | + | 0.800389i | ||||
\(979\) | 6565.23 | 0.214326 | ||||||||
\(980\) | 56977.2i | 1.85722i | ||||||||
\(981\) | −28650.0 | − | 39839.6i | −0.932440 | − | 1.29661i | ||||
\(982\) | − | 71921.3i | − | 2.33717i | ||||||
\(983\) | −47769.3 | −1.54995 | −0.774977 | − | 0.631990i | \(-0.782239\pi\) | ||||
−0.774977 | + | 0.631990i | \(0.782239\pi\) | |||||||
\(984\) | −7188.99 | − | 22310.0i | −0.232903 | − | 0.722781i | ||||
\(985\) | 76473.6 | 2.47376 | ||||||||
\(986\) | 334.284 | 0.0107969 | ||||||||
\(987\) | −5655.20 | + | 1822.29i | −0.182378 | + | 0.0587680i | ||||
\(988\) | 100351.i | 3.23137i | ||||||||
\(989\) | − | 2619.26i | − | 0.0842141i | ||||||
\(990\) | −14768.9 | − | 20537.1i | −0.474129 | − | 0.659305i | ||||
\(991\) | − | 6620.75i | − | 0.212225i | −0.994354 | − | 0.106113i | \(-0.966160\pi\) | ||
0.994354 | − | 0.106113i | \(-0.0338404\pi\) | |||||||
\(992\) | − | 25956.1i | − | 0.830754i | ||||||
\(993\) | −44059.6 | + | 14197.4i | −1.40804 | + | 0.453717i | ||||
\(994\) | 27296.3i | 0.871013i | ||||||||
\(995\) | 13819.1i | 0.440295i | ||||||||
\(996\) | 81334.8 | − | 26208.7i | 2.58754 | − | 0.833789i | ||||
\(997\) | −49690.6 | −1.57845 | −0.789226 | − | 0.614102i | \(-0.789518\pi\) | ||||
−0.789226 | + | 0.614102i | \(0.789518\pi\) | |||||||
\(998\) | −1610.80 | −0.0510913 | ||||||||
\(999\) | 18779.8 | + | 13854.9i | 0.594761 | + | 0.438788i |
(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 | 177.4.d.c.176.6 | yes | 52 | |
3.2 | odd | 2 | inner | 177.4.d.c.176.47 | yes | 52 | |
59.58 | odd | 2 | inner | 177.4.d.c.176.48 | yes | 52 | |
177.176 | even | 2 | inner | 177.4.d.c.176.5 | ✓ | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.d.c.176.5 | ✓ | 52 | 177.176 | even | 2 | inner | |
177.4.d.c.176.6 | yes | 52 | 1.1 | even | 1 | trivial | |
177.4.d.c.176.47 | yes | 52 | 3.2 | odd | 2 | inner | |
177.4.d.c.176.48 | yes | 52 | 59.58 | odd | 2 | inner |