Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 74.3 |
Dual form | 74.4.h.a.25.6 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28558 | − | 1.53209i | 0.454519 | − | 0.541675i | ||||
\(3\) | −6.88175 | + | 5.77448i | −1.32439 | + | 1.11130i | −0.339041 | + | 0.940771i | \(0.610103\pi\) |
−0.985353 | + | 0.170527i | \(0.945453\pi\) | |||||||
\(4\) | −0.694593 | − | 3.93923i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 5.49624 | − | 15.1008i | 0.491598 | − | 1.35066i | −0.407618 | − | 0.913152i | \(-0.633641\pi\) |
0.899217 | − | 0.437503i | \(-0.144137\pi\) | |||||||
\(6\) | 17.9670i | 1.22250i | ||||||||
\(7\) | 27.7081 | + | 10.0849i | 1.49610 | + | 0.544534i | 0.955046 | − | 0.296456i | \(-0.0958049\pi\) |
0.541050 | + | 0.840991i | \(0.318027\pi\) | |||||||
\(8\) | −6.92820 | − | 4.00000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 9.32545 | − | 52.8873i | 0.345387 | − | 1.95879i | ||||
\(10\) | −16.0699 | − | 27.8339i | −0.508176 | − | 0.880186i | ||||
\(11\) | 30.6869 | − | 53.1512i | 0.841131 | − | 1.45688i | −0.0478080 | − | 0.998857i | \(-0.515224\pi\) |
0.888939 | − | 0.458025i | \(-0.151443\pi\) | |||||||
\(12\) | 27.5270 | + | 23.0979i | 0.662197 | + | 0.555649i | ||||
\(13\) | −31.6783 | + | 5.58574i | −0.675844 | + | 0.119170i | −0.501027 | − | 0.865431i | \(-0.667044\pi\) |
−0.174817 | + | 0.984601i | \(0.555933\pi\) | |||||||
\(14\) | 51.0718 | − | 29.4863i | 0.974966 | − | 0.562897i | ||||
\(15\) | 49.3754 | + | 135.658i | 0.849912 | + | 2.33511i | ||||
\(16\) | −15.0351 | + | 5.47232i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 56.5129 | + | 9.96475i | 0.806258 | + | 0.142165i | 0.561562 | − | 0.827435i | \(-0.310201\pi\) |
0.244696 | + | 0.969600i | \(0.421312\pi\) | |||||||
\(18\) | −69.0394 | − | 82.2780i | −0.904042 | − | 1.07739i | ||||
\(19\) | 0.937113 | + | 1.11681i | 0.0113152 | + | 0.0134849i | 0.771672 | − | 0.636020i | \(-0.219421\pi\) |
−0.760357 | + | 0.649505i | \(0.774976\pi\) | |||||||
\(20\) | −63.3031 | − | 11.1621i | −0.707751 | − | 0.124796i | ||||
\(21\) | −248.915 | + | 90.5978i | −2.58656 | + | 0.941431i | ||||
\(22\) | −41.9821 | − | 115.345i | −0.406846 | − | 1.11780i | ||||
\(23\) | −11.0732 | + | 6.39313i | −0.100388 | + | 0.0579592i | −0.549354 | − | 0.835590i | \(-0.685126\pi\) |
0.448965 | + | 0.893549i | \(0.351793\pi\) | |||||||
\(24\) | 70.7761 | − | 12.4797i | 0.601963 | − | 0.106142i | ||||
\(25\) | −102.070 | − | 85.6466i | −0.816557 | − | 0.685173i | ||||
\(26\) | −32.1670 | + | 55.7148i | −0.242633 | + | 0.420253i | ||||
\(27\) | 119.944 | + | 207.749i | 0.854932 | + | 1.48079i | ||||
\(28\) | 20.4810 | − | 116.153i | 0.138234 | − | 0.783962i | ||||
\(29\) | −126.928 | − | 73.2821i | −0.812759 | − | 0.469247i | 0.0351541 | − | 0.999382i | \(-0.488808\pi\) |
−0.847913 | + | 0.530135i | \(0.822141\pi\) | |||||||
\(30\) | 271.316 | + | 98.7508i | 1.65117 | + | 0.600978i | ||||
\(31\) | 121.387i | 0.703282i | 0.936135 | + | 0.351641i | \(0.114376\pi\) | ||||
−0.936135 | + | 0.351641i | \(0.885624\pi\) | |||||||
\(32\) | −10.9446 | + | 30.0702i | −0.0604612 | + | 0.166116i | ||||
\(33\) | 95.7410 | + | 542.974i | 0.505042 | + | 2.86423i | ||||
\(34\) | 87.9185 | − | 73.7723i | 0.443467 | − | 0.372113i | ||||
\(35\) | 304.580 | − | 362.985i | 1.47096 | − | 1.75302i | ||||
\(36\) | −214.813 | −0.994503 | ||||||||
\(37\) | 135.208 | + | 179.922i | 0.600757 | + | 0.799432i | ||||
\(38\) | 2.91578 | 0.0124474 | ||||||||
\(39\) | 185.747 | − | 221.365i | 0.762651 | − | 0.908892i | ||||
\(40\) | −98.4822 | + | 82.6364i | −0.389285 | + | 0.326649i | ||||
\(41\) | −59.3952 | − | 336.847i | −0.226243 | − | 1.28309i | −0.860294 | − | 0.509798i | \(-0.829720\pi\) |
0.634051 | − | 0.773291i | \(-0.281391\pi\) | |||||||
\(42\) | −181.196 | + | 497.831i | −0.665692 | + | 1.82897i | ||||
\(43\) | − | 157.053i | − | 0.556984i | −0.960439 | − | 0.278492i | \(-0.910165\pi\) | ||
0.960439 | − | 0.278492i | \(-0.0898346\pi\) | |||||||
\(44\) | −230.690 | − | 83.9642i | −0.790405 | − | 0.287684i | ||||
\(45\) | −747.385 | − | 431.503i | −2.47586 | − | 1.42944i | ||||
\(46\) | −4.44062 | + | 25.1840i | −0.0142334 | + | 0.0807214i | ||||
\(47\) | 215.198 | + | 372.734i | 0.667869 | + | 1.15678i | 0.978499 | + | 0.206252i | \(0.0661267\pi\) |
−0.310630 | + | 0.950531i | \(0.600540\pi\) | |||||||
\(48\) | 71.8679 | − | 124.479i | 0.216109 | − | 0.374312i | ||||
\(49\) | 403.279 | + | 338.391i | 1.17574 | + | 0.986564i | ||||
\(50\) | −262.436 | + | 46.2746i | −0.742282 | + | 0.130884i | ||||
\(51\) | −446.449 | + | 257.757i | −1.22579 | + | 0.707711i | ||||
\(52\) | 44.0070 | + | 120.908i | 0.117359 | + | 0.322441i | ||||
\(53\) | −89.9779 | + | 32.7493i | −0.233196 | + | 0.0848766i | −0.455975 | − | 0.889992i | \(-0.650709\pi\) |
0.222779 | + | 0.974869i | \(0.428487\pi\) | |||||||
\(54\) | 472.486 | + | 83.3120i | 1.19069 | + | 0.209951i | ||||
\(55\) | −633.963 | − | 755.528i | −1.55425 | − | 1.85228i | ||||
\(56\) | −151.628 | − | 180.703i | −0.361823 | − | 0.431204i | ||||
\(57\) | −12.8980 | − | 2.27426i | −0.0299715 | − | 0.00528479i | ||||
\(58\) | −275.451 | + | 100.256i | −0.623594 | + | 0.226970i | ||||
\(59\) | 76.4109 | + | 209.937i | 0.168608 | + | 0.463246i | 0.995003 | − | 0.0998444i | \(-0.0318345\pi\) |
−0.826395 | + | 0.563090i | \(0.809612\pi\) | |||||||
\(60\) | 500.092 | − | 288.728i | 1.07603 | − | 0.621244i | ||||
\(61\) | 337.127 | − | 59.4445i | 0.707617 | − | 0.124772i | 0.191754 | − | 0.981443i | \(-0.438582\pi\) |
0.515863 | + | 0.856671i | \(0.327471\pi\) | |||||||
\(62\) | 185.976 | + | 156.052i | 0.380950 | + | 0.319655i | ||||
\(63\) | 791.754 | − | 1371.36i | 1.58336 | − | 2.74246i | ||||
\(64\) | 32.0000 | + | 55.4256i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −89.7623 | + | 509.068i | −0.171287 | + | 0.971416i | ||||
\(66\) | 954.967 | + | 551.351i | 1.78104 | + | 1.02828i | ||||
\(67\) | −163.376 | − | 59.4641i | −0.297905 | − | 0.108428i | 0.188744 | − | 0.982026i | \(-0.439558\pi\) |
−0.486648 | + | 0.873598i | \(0.661781\pi\) | |||||||
\(68\) | − | 229.539i | − | 0.409348i | ||||||
\(69\) | 39.2863 | − | 107.938i | 0.0685436 | − | 0.188322i | ||||
\(70\) | −164.564 | − | 933.289i | −0.280988 | − | 1.59356i | ||||
\(71\) | −352.073 | + | 295.425i | −0.588499 | + | 0.493809i | −0.887726 | − | 0.460373i | \(-0.847716\pi\) |
0.299227 | + | 0.954182i | \(0.403271\pi\) | |||||||
\(72\) | −276.158 | + | 329.112i | −0.452021 | + | 0.538697i | ||||
\(73\) | −923.821 | −1.48116 | −0.740582 | − | 0.671965i | \(-0.765450\pi\) | ||||
−0.740582 | + | 0.671965i | \(0.765450\pi\) | |||||||
\(74\) | 449.476 | + | 24.1532i | 0.706088 | + | 0.0379425i | ||||
\(75\) | 1196.98 | 1.84288 | ||||||||
\(76\) | 3.74845 | − | 4.46723i | 0.00565759 | − | 0.00674246i | ||||
\(77\) | 1386.30 | − | 1163.24i | 2.05174 | − | 1.72161i | ||||
\(78\) | −100.359 | − | 569.163i | −0.145685 | − | 0.826218i | ||||
\(79\) | −189.186 | + | 519.785i | −0.269432 | + | 0.740258i | 0.729013 | + | 0.684500i | \(0.239980\pi\) |
−0.998444 | + | 0.0557574i | \(0.982243\pi\) | |||||||
\(80\) | 257.119i | 0.359334i | ||||||||
\(81\) | −662.523 | − | 241.139i | −0.908811 | − | 0.330780i | ||||
\(82\) | −592.437 | − | 342.043i | −0.797850 | − | 0.460639i | ||||
\(83\) | −237.350 | + | 1346.08i | −0.313887 | + | 1.78014i | 0.264510 | + | 0.964383i | \(0.414790\pi\) |
−0.578396 | + | 0.815756i | \(0.696321\pi\) | |||||||
\(84\) | 529.780 | + | 917.607i | 0.688140 | + | 1.19189i | ||||
\(85\) | 461.084 | − | 798.621i | 0.588371 | − | 1.01909i | ||||
\(86\) | −240.619 | − | 201.903i | −0.301704 | − | 0.253160i | ||||
\(87\) | 1296.66 | − | 228.635i | 1.59789 | − | 0.281750i | ||||
\(88\) | −425.210 | + | 245.495i | −0.515086 | + | 0.297385i | ||||
\(89\) | 564.652 | + | 1551.37i | 0.672505 | + | 1.84769i | 0.508095 | + | 0.861301i | \(0.330350\pi\) |
0.164411 | + | 0.986392i | \(0.447428\pi\) | |||||||
\(90\) | −1621.92 | + | 590.330i | −1.89961 | + | 0.691403i | ||||
\(91\) | −934.076 | − | 164.703i | −1.07602 | − | 0.189731i | ||||
\(92\) | 32.8754 | + | 39.1794i | 0.0372554 | + | 0.0443993i | ||||
\(93\) | −700.946 | − | 835.355i | −0.781556 | − | 0.931422i | ||||
\(94\) | 847.714 | + | 149.475i | 0.930160 | + | 0.164012i | ||||
\(95\) | 22.0153 | − | 8.01291i | 0.0237760 | − | 0.00865376i | ||||
\(96\) | −98.3211 | − | 270.135i | −0.104530 | − | 0.287193i | ||||
\(97\) | −617.193 | + | 356.337i | −0.646046 | + | 0.372995i | −0.786940 | − | 0.617030i | \(-0.788336\pi\) |
0.140893 | + | 0.990025i | \(0.455003\pi\) | |||||||
\(98\) | 1036.89 | − | 182.832i | 1.06879 | − | 0.188457i | ||||
\(99\) | −2524.85 | − | 2118.60i | −2.56321 | − | 2.15079i | ||||
\(100\) | −266.485 | + | 461.566i | −0.266485 | + | 0.461566i | ||||
\(101\) | −225.394 | − | 390.394i | −0.222055 | − | 0.384611i | 0.733377 | − | 0.679822i | \(-0.237943\pi\) |
−0.955432 | + | 0.295212i | \(0.904610\pi\) | |||||||
\(102\) | −179.036 | + | 1015.37i | −0.173797 | + | 0.985649i | ||||
\(103\) | 605.775 | + | 349.744i | 0.579502 | + | 0.334576i | 0.760936 | − | 0.648827i | \(-0.224740\pi\) |
−0.181433 | + | 0.983403i | \(0.558074\pi\) | |||||||
\(104\) | 241.816 | + | 88.0140i | 0.228001 | + | 0.0829854i | ||||
\(105\) | 4256.77i | 3.95636i | ||||||||
\(106\) | −65.4985 | + | 179.956i | −0.0600168 | + | 0.164895i | ||||
\(107\) | −168.414 | − | 955.124i | −0.152161 | − | 0.862947i | −0.961336 | − | 0.275379i | \(-0.911197\pi\) |
0.809175 | − | 0.587568i | \(-0.199915\pi\) | |||||||
\(108\) | 735.058 | − | 616.787i | 0.654916 | − | 0.549540i | ||||
\(109\) | −281.806 | + | 335.843i | −0.247634 | + | 0.295119i | −0.875515 | − | 0.483190i | \(-0.839478\pi\) |
0.627881 | + | 0.778309i | \(0.283922\pi\) | |||||||
\(110\) | −1972.54 | −1.70977 | ||||||||
\(111\) | −1969.42 | − | 457.425i | −1.68405 | − | 0.391143i | ||||
\(112\) | −471.781 | −0.398028 | ||||||||
\(113\) | 668.656 | − | 796.874i | 0.556654 | − | 0.663394i | −0.412181 | − | 0.911102i | \(-0.635233\pi\) |
0.968835 | + | 0.247708i | \(0.0796773\pi\) | |||||||
\(114\) | −20.0657 | + | 16.8371i | −0.0164853 | + | 0.0138328i | ||||
\(115\) | 35.6803 | + | 202.353i | 0.0289322 | + | 0.164083i | ||||
\(116\) | −200.512 | + | 550.901i | −0.160492 | + | 0.440948i | ||||
\(117\) | 1727.47i | 1.36499i | ||||||||
\(118\) | 419.875 | + | 152.822i | 0.327564 | + | 0.119224i | ||||
\(119\) | 1465.37 | + | 846.032i | 1.12883 | + | 0.651728i | ||||
\(120\) | 200.548 | − | 1137.37i | 0.152562 | − | 0.865224i | ||||
\(121\) | −1217.87 | − | 2109.41i | −0.915003 | − | 1.58483i | ||||
\(122\) | 342.327 | − | 592.929i | 0.254040 | − | 0.440010i | ||||
\(123\) | 2353.86 | + | 1975.12i | 1.72553 | + | 1.44789i | ||||
\(124\) | 478.171 | − | 84.3145i | 0.346299 | − | 0.0610618i | ||||
\(125\) | −114.711 | + | 66.2282i | −0.0820802 | + | 0.0473890i | ||||
\(126\) | −1083.18 | − | 2976.02i | −0.765854 | − | 2.10417i | ||||
\(127\) | 1409.06 | − | 512.857i | 0.984520 | − | 0.358336i | 0.200924 | − | 0.979607i | \(-0.435606\pi\) |
0.783596 | + | 0.621271i | \(0.213383\pi\) | |||||||
\(128\) | 126.055 | + | 22.2270i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 906.897 | + | 1080.80i | 0.618976 | + | 0.737666i | ||||
\(130\) | 664.541 | + | 791.969i | 0.448339 | + | 0.534310i | ||||
\(131\) | 1803.18 | + | 317.950i | 1.20263 | + | 0.212056i | 0.738836 | − | 0.673886i | \(-0.235376\pi\) |
0.463796 | + | 0.885942i | \(0.346487\pi\) | |||||||
\(132\) | 2072.40 | − | 754.292i | 1.36651 | − | 0.497369i | ||||
\(133\) | 14.7027 | + | 40.3953i | 0.00958560 | + | 0.0263362i | ||||
\(134\) | −301.137 | + | 173.862i | −0.194136 | + | 0.112085i | ||||
\(135\) | 3796.41 | − | 669.409i | 2.42032 | − | 0.426767i | ||||
\(136\) | −351.674 | − | 295.089i | −0.221734 | − | 0.186057i | ||||
\(137\) | 108.382 | − | 187.722i | 0.0675888 | − | 0.117067i | −0.830251 | − | 0.557390i | \(-0.811803\pi\) |
0.897839 | + | 0.440323i | \(0.145136\pi\) | |||||||
\(138\) | −114.865 | − | 198.953i | −0.0708550 | − | 0.122724i | ||||
\(139\) | 4.87395 | − | 27.6416i | 0.00297413 | − | 0.0168671i | −0.983285 | − | 0.182075i | \(-0.941719\pi\) |
0.986259 | + | 0.165208i | \(0.0528296\pi\) | |||||||
\(140\) | −1641.44 | − | 947.686i | −0.990907 | − | 0.572101i | ||||
\(141\) | −3633.28 | − | 1322.41i | −2.17005 | − | 0.789835i | ||||
\(142\) | 919.198i | 0.543221i | ||||||||
\(143\) | −675.219 | + | 1855.15i | −0.394858 | + | 1.08486i | ||||
\(144\) | 149.207 | + | 846.196i | 0.0863468 | + | 0.489697i | ||||
\(145\) | −1804.25 | + | 1513.94i | −1.03334 | + | 0.867077i | ||||
\(146\) | −1187.64 | + | 1415.38i | −0.673218 | + | 0.802310i | ||||
\(147\) | −4729.30 | −2.65351 | ||||||||
\(148\) | 614.840 | − | 657.586i | 0.341483 | − | 0.365225i | ||||
\(149\) | −2204.08 | −1.21185 | −0.605924 | − | 0.795523i | \(-0.707196\pi\) | ||||
−0.605924 | + | 0.795523i | \(0.707196\pi\) | |||||||
\(150\) | 1538.81 | − | 1833.88i | 0.837623 | − | 0.998240i | ||||
\(151\) | 217.489 | − | 182.495i | 0.117212 | − | 0.0983525i | −0.582298 | − | 0.812976i | \(-0.697846\pi\) |
0.699510 | + | 0.714623i | \(0.253402\pi\) | |||||||
\(152\) | −2.02528 | − | 11.4859i | −0.00108074 | − | 0.00612915i | ||||
\(153\) | 1054.02 | − | 2895.89i | 0.556942 | − | 1.53019i | ||||
\(154\) | − | 3619.37i | − | 1.89388i | ||||||
\(155\) | 1833.04 | + | 667.171i | 0.949892 | + | 0.345732i | ||||
\(156\) | −1001.03 | − | 577.943i | −0.513759 | − | 0.296619i | ||||
\(157\) | 325.307 | − | 1844.91i | 0.165365 | − | 0.937834i | −0.783322 | − | 0.621617i | \(-0.786476\pi\) |
0.948687 | − | 0.316217i | \(-0.102413\pi\) | |||||||
\(158\) | 553.143 | + | 958.072i | 0.278517 | + | 0.482406i | ||||
\(159\) | 430.096 | − | 744.948i | 0.214521 | − | 0.371561i | ||||
\(160\) | 393.929 | + | 330.546i | 0.194643 | + | 0.163325i | ||||
\(161\) | −371.292 | + | 65.4689i | −0.181751 | + | 0.0320476i | ||||
\(162\) | −1221.17 | + | 705.042i | −0.592247 | + | 0.341934i | ||||
\(163\) | 57.5653 | + | 158.159i | 0.0276617 | + | 0.0760000i | 0.952755 | − | 0.303740i | \(-0.0982355\pi\) |
−0.925093 | + | 0.379740i | \(0.876013\pi\) | |||||||
\(164\) | −1285.66 | + | 467.943i | −0.612155 | + | 0.222806i | ||||
\(165\) | 8725.56 | + | 1538.55i | 4.11687 | + | 0.725916i | ||||
\(166\) | 1757.18 | + | 2094.13i | 0.821590 | + | 0.979132i | ||||
\(167\) | 1422.05 | + | 1694.73i | 0.658930 | + | 0.785283i | 0.987232 | − | 0.159290i | \(-0.0509206\pi\) |
−0.328301 | + | 0.944573i | \(0.606476\pi\) | |||||||
\(168\) | 2086.93 | + | 367.982i | 0.958393 | + | 0.168990i | ||||
\(169\) | −1092.19 | + | 397.525i | −0.497129 | + | 0.180940i | ||||
\(170\) | −630.800 | − | 1733.11i | −0.284589 | − | 0.781902i | ||||
\(171\) | 67.8039 | − | 39.1466i | 0.0303222 | − | 0.0175065i | ||||
\(172\) | −618.667 | + | 109.088i | −0.274261 | + | 0.0483596i | ||||
\(173\) | −1150.34 | − | 965.252i | −0.505543 | − | 0.424201i | 0.354014 | − | 0.935240i | \(-0.384816\pi\) |
−0.859558 | + | 0.511039i | \(0.829261\pi\) | |||||||
\(174\) | 1316.66 | − | 2280.52i | 0.573653 | − | 0.993597i | ||||
\(175\) | −1964.42 | − | 3402.47i | −0.848548 | − | 1.46973i | ||||
\(176\) | −170.519 | + | 967.062i | −0.0730304 | + | 0.414176i | ||||
\(177\) | −1738.12 | − | 1003.50i | −0.738108 | − | 0.426147i | ||||
\(178\) | 3102.74 | + | 1129.30i | 1.30652 | + | 0.475533i | ||||
\(179\) | − | 1533.44i | − | 0.640305i | −0.947366 | − | 0.320152i | \(-0.896266\pi\) | ||
0.947366 | − | 0.320152i | \(-0.103734\pi\) | |||||||
\(180\) | −1180.66 | + | 3243.84i | −0.488896 | + | 1.34323i | ||||
\(181\) | −515.613 | − | 2924.19i | −0.211741 | − | 1.20085i | −0.886472 | − | 0.462782i | \(-0.846851\pi\) |
0.674731 | − | 0.738064i | \(-0.264260\pi\) | |||||||
\(182\) | −1453.16 | + | 1219.35i | −0.591845 | + | 0.496617i | ||||
\(183\) | −1976.76 | + | 2355.81i | −0.798505 | + | 0.951622i | ||||
\(184\) | 102.290 | 0.0409833 | ||||||||
\(185\) | 3460.10 | − | 1052.85i | 1.37509 | − | 0.418416i | ||||
\(186\) | −2180.96 | −0.859761 | ||||||||
\(187\) | 2263.84 | − | 2697.94i | 0.885287 | − | 1.05504i | ||||
\(188\) | 1318.81 | − | 1106.61i | 0.511617 | − | 0.429298i | ||||
\(189\) | 1228.28 | + | 6965.94i | 0.472722 | + | 2.68094i | ||||
\(190\) | 16.0258 | − | 44.0306i | 0.00611913 | − | 0.0168122i | ||||
\(191\) | 2697.79i | 1.02202i | 0.859576 | + | 0.511008i | \(0.170728\pi\) | ||||
−0.859576 | + | 0.511008i | \(0.829272\pi\) | |||||||
\(192\) | −540.270 | − | 196.642i | −0.203076 | − | 0.0739137i | ||||
\(193\) | −1555.87 | − | 898.280i | −0.580279 | − | 0.335024i | 0.180966 | − | 0.983489i | \(-0.442078\pi\) |
−0.761244 | + | 0.648465i | \(0.775411\pi\) | |||||||
\(194\) | −247.509 | + | 1403.69i | −0.0915985 | + | 0.519481i | ||||
\(195\) | −2321.88 | − | 4021.61i | −0.852682 | − | 1.47689i | ||||
\(196\) | 1052.89 | − | 1823.65i | 0.383705 | − | 0.664597i | ||||
\(197\) | 1841.95 | + | 1545.58i | 0.666160 | + | 0.558974i | 0.911926 | − | 0.410355i | \(-0.134595\pi\) |
−0.245766 | + | 0.969329i | \(0.579040\pi\) | |||||||
\(198\) | −6491.78 | + | 1144.68i | −2.33005 | + | 0.410851i | ||||
\(199\) | −2773.99 | + | 1601.57i | −0.988156 | + | 0.570512i | −0.904723 | − | 0.426001i | \(-0.859922\pi\) |
−0.0834336 | + | 0.996513i | \(0.526589\pi\) | |||||||
\(200\) | 364.573 | + | 1001.66i | 0.128896 | + | 0.354139i | ||||
\(201\) | 1467.69 | − | 534.196i | 0.515039 | − | 0.187459i | ||||
\(202\) | −887.880 | − | 156.557i | −0.309262 | − | 0.0545313i | ||||
\(203\) | −2777.90 | − | 3310.57i | −0.960444 | − | 1.14461i | ||||
\(204\) | 1325.47 | + | 1579.63i | 0.454908 | + | 0.542138i | ||||
\(205\) | −5413.11 | − | 954.477i | −1.84423 | − | 0.325188i | ||||
\(206\) | 1314.61 | − | 478.478i | 0.444627 | − | 0.161831i | ||||
\(207\) | 234.852 | + | 645.252i | 0.0788569 | + | 0.216658i | ||||
\(208\) | 445.719 | − | 257.336i | 0.148582 | − | 0.0857838i | ||||
\(209\) | 88.1168 | − | 15.5374i | 0.0291635 | − | 0.00514231i | ||||
\(210\) | 6521.74 | + | 5472.39i | 2.14306 | + | 1.79824i | ||||
\(211\) | −1547.35 | + | 2680.09i | −0.504853 | + | 0.874431i | 0.495131 | + | 0.868818i | \(0.335120\pi\) |
−0.999984 | + | 0.00561291i | \(0.998213\pi\) | |||||||
\(212\) | 191.505 | + | 331.696i | 0.0620406 | + | 0.107457i | ||||
\(213\) | 716.959 | − | 4066.08i | 0.230635 | − | 1.30800i | ||||
\(214\) | −1679.84 | − | 969.859i | −0.536597 | − | 0.309805i | ||||
\(215\) | −2371.62 | − | 863.199i | −0.752294 | − | 0.273812i | ||||
\(216\) | − | 1919.10i | − | 0.604529i | ||||||
\(217\) | −1224.18 | + | 3363.40i | −0.382961 | + | 1.05218i | ||||
\(218\) | 152.259 | + | 863.503i | 0.0473040 | + | 0.268274i | ||||
\(219\) | 6357.51 | − | 5334.58i | 1.96165 | − | 1.64602i | ||||
\(220\) | −2535.85 | + | 3022.11i | −0.777124 | + | 0.926140i | ||||
\(221\) | −1845.89 | −0.561847 | ||||||||
\(222\) | −3232.65 | + | 2429.27i | −0.977304 | + | 0.734424i | ||||
\(223\) | 920.879 | 0.276532 | 0.138266 | − | 0.990395i | \(-0.455847\pi\) | ||||
0.138266 | + | 0.990395i | \(0.455847\pi\) | |||||||
\(224\) | −606.510 | + | 722.811i | −0.180911 | + | 0.215602i | ||||
\(225\) | −5481.46 | + | 4599.49i | −1.62414 | + | 1.36281i | ||||
\(226\) | −361.273 | − | 2048.88i | −0.106334 | − | 0.603051i | ||||
\(227\) | 582.500 | − | 1600.40i | 0.170317 | − | 0.467941i | −0.824941 | − | 0.565219i | \(-0.808792\pi\) |
0.995257 | + | 0.0972784i | \(0.0310137\pi\) | |||||||
\(228\) | 52.3877i | 0.0152169i | ||||||||
\(229\) | 4786.97 | + | 1742.31i | 1.38136 | + | 0.502775i | 0.922591 | − | 0.385780i | \(-0.126068\pi\) |
0.458771 | + | 0.888555i | \(0.348290\pi\) | |||||||
\(230\) | 355.892 | + | 205.474i | 0.102030 | + | 0.0589069i | ||||
\(231\) | −2823.05 | + | 16010.3i | −0.804083 | + | 4.56018i | ||||
\(232\) | 586.257 | + | 1015.43i | 0.165904 | + | 0.287354i | ||||
\(233\) | 1525.93 | − | 2642.99i | 0.429043 | − | 0.743124i | −0.567746 | − | 0.823204i | \(-0.692184\pi\) |
0.996788 | + | 0.0800801i | \(0.0255176\pi\) | |||||||
\(234\) | 2646.63 | + | 2220.79i | 0.739384 | + | 0.620417i | ||||
\(235\) | 6811.35 | − | 1201.03i | 1.89074 | − | 0.333388i | ||||
\(236\) | 773.917 | − | 446.821i | 0.213465 | − | 0.123244i | ||||
\(237\) | −1699.55 | − | 4669.48i | −0.465814 | − | 1.27981i | ||||
\(238\) | 3180.04 | − | 1157.44i | 0.866098 | − | 0.315234i | ||||
\(239\) | −4598.06 | − | 810.762i | −1.24445 | − | 0.219430i | −0.487629 | − | 0.873051i | \(-0.662138\pi\) |
−0.756822 | + | 0.653621i | \(0.773249\pi\) | |||||||
\(240\) | −1484.73 | − | 1769.43i | −0.399328 | − | 0.475900i | ||||
\(241\) | 3130.77 | + | 3731.10i | 0.836806 | + | 0.997267i | 0.999943 | + | 0.0106637i | \(0.00339441\pi\) |
−0.163137 | + | 0.986603i | \(0.552161\pi\) | |||||||
\(242\) | −4797.47 | − | 845.923i | −1.27435 | − | 0.224702i | ||||
\(243\) | −134.583 | + | 48.9840i | −0.0355287 | + | 0.0129314i | ||||
\(244\) | −468.332 | − | 1286.73i | −0.122876 | − | 0.337600i | ||||
\(245\) | 7326.50 | − | 4229.95i | 1.91050 | − | 1.10303i | ||||
\(246\) | 6052.13 | − | 1067.15i | 1.56858 | − | 0.276582i | ||||
\(247\) | −35.9243 | − | 30.1441i | −0.00925429 | − | 0.00776527i | ||||
\(248\) | 485.548 | − | 840.993i | 0.124324 | − | 0.215335i | ||||
\(249\) | −6139.53 | − | 10634.0i | −1.56256 | − | 2.70643i | ||||
\(250\) | −46.0016 | + | 260.888i | −0.0116376 | + | 0.0660000i | ||||
\(251\) | −257.010 | − | 148.385i | −0.0646307 | − | 0.0373145i | 0.467336 | − | 0.884080i | \(-0.345214\pi\) |
−0.531967 | + | 0.846765i | \(0.678547\pi\) | |||||||
\(252\) | −5952.04 | − | 2166.37i | −1.48787 | − | 0.541541i | ||||
\(253\) | 784.741i | 0.195005i | ||||||||
\(254\) | 1025.71 | − | 2818.12i | 0.253382 | − | 0.696161i | ||||
\(255\) | 1438.55 | + | 8158.43i | 0.353277 | + | 2.00353i | ||||
\(256\) | 196.107 | − | 164.554i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 3319.74 | − | 3956.31i | 0.805758 | − | 0.960265i | −0.194027 | − | 0.980996i | \(-0.562155\pi\) |
0.999785 | + | 0.0207315i | \(0.00659952\pi\) | |||||||
\(258\) | 2821.76 | 0.680912 | ||||||||
\(259\) | 1931.85 | + | 6348.85i | 0.463471 | + | 1.52316i | ||||
\(260\) | 2067.68 | 0.493201 | ||||||||
\(261\) | −5059.36 | + | 6029.51i | −1.19987 | + | 1.42995i | ||||
\(262\) | 2805.25 | − | 2353.89i | 0.661485 | − | 0.555052i | ||||
\(263\) | −309.753 | − | 1756.70i | −0.0726244 | − | 0.411873i | −0.999347 | − | 0.0361275i | \(-0.988498\pi\) |
0.926723 | − | 0.375746i | \(-0.122613\pi\) | |||||||
\(264\) | 1508.58 | − | 4144.80i | 0.351693 | − | 0.966269i | ||||
\(265\) | 1538.73i | 0.356693i | ||||||||
\(266\) | 80.7906 | + | 29.4054i | 0.0186225 | + | 0.00677804i | ||||
\(267\) | −12844.1 | − | 7415.57i | −2.94400 | − | 1.69972i | ||||
\(268\) | −120.763 | + | 684.881i | −0.0275253 | + | 0.156104i | ||||
\(269\) | −2275.15 | − | 3940.68i | −0.515682 | − | 0.893188i | −0.999834 | − | 0.0182041i | \(-0.994205\pi\) |
0.484152 | − | 0.874984i | \(-0.339128\pi\) | |||||||
\(270\) | 3854.97 | − | 6677.01i | 0.868912 | − | 1.50500i | ||||
\(271\) | −1834.53 | − | 1539.35i | −0.411216 | − | 0.345051i | 0.413594 | − | 0.910461i | \(-0.364273\pi\) |
−0.824810 | + | 0.565410i | \(0.808718\pi\) | |||||||
\(272\) | −904.206 | + | 159.436i | −0.201565 | + | 0.0355413i | ||||
\(273\) | 7379.16 | − | 4260.36i | 1.63592 | − | 0.944500i | ||||
\(274\) | −148.275 | − | 407.382i | −0.0326920 | − | 0.0898205i | ||||
\(275\) | −7684.42 | + | 2796.90i | −1.68505 | + | 0.613307i | ||||
\(276\) | −452.481 | − | 79.7846i | −0.0986818 | − | 0.0174003i | ||||
\(277\) | 4395.04 | + | 5237.80i | 0.953329 | + | 1.13613i | 0.990595 | + | 0.136828i | \(0.0436907\pi\) |
−0.0372658 | + | 0.999305i | \(0.511865\pi\) | |||||||
\(278\) | −36.0835 | − | 43.0026i | −0.00778469 | − | 0.00927744i | ||||
\(279\) | 6419.82 | + | 1131.99i | 1.37758 | + | 0.242904i | ||||
\(280\) | −3562.13 | + | 1296.51i | −0.760280 | + | 0.276719i | ||||
\(281\) | 1855.31 | + | 5097.43i | 0.393874 | + | 1.08216i | 0.965217 | + | 0.261449i | \(0.0842003\pi\) |
−0.571343 | + | 0.820711i | \(0.693577\pi\) | |||||||
\(282\) | −6696.90 | + | 3866.46i | −1.41417 | + | 0.816469i | ||||
\(283\) | 1434.75 | − | 252.986i | 0.301368 | − | 0.0531393i | −0.0209194 | − | 0.999781i | \(-0.506659\pi\) |
0.322287 | + | 0.946642i | \(0.395548\pi\) | |||||||
\(284\) | 1408.29 | + | 1181.70i | 0.294249 | + | 0.246905i | ||||
\(285\) | −105.233 | + | 182.270i | −0.0218719 | + | 0.0378832i | ||||
\(286\) | 1974.21 | + | 3419.43i | 0.408173 | + | 0.706976i | ||||
\(287\) | 1751.35 | − | 9932.38i | 0.360205 | − | 2.04282i | ||||
\(288\) | 1488.26 | + | 859.250i | 0.304503 | + | 0.175805i | ||||
\(289\) | −1522.30 | − | 554.072i | −0.309851 | − | 0.112777i | ||||
\(290\) | 4710.55i | 0.953839i | ||||||||
\(291\) | 2189.72 | − | 6016.19i | 0.441111 | − | 1.21194i | ||||
\(292\) | 641.679 | + | 3639.14i | 0.128601 | + | 0.729331i | ||||
\(293\) | −3699.11 | + | 3103.92i | −0.737557 | + | 0.618884i | −0.932180 | − | 0.361994i | \(-0.882096\pi\) |
0.194623 | + | 0.980878i | \(0.437652\pi\) | |||||||
\(294\) | −6079.87 | + | 7245.71i | −1.20607 | + | 1.43734i | ||||
\(295\) | 3590.19 | 0.708573 | ||||||||
\(296\) | −217.058 | − | 1787.37i | −0.0426224 | − | 0.350975i | ||||
\(297\) | 14722.8 | 2.87644 | ||||||||
\(298\) | −2833.51 | + | 3376.85i | −0.550808 | + | 0.656428i | ||||
\(299\) | 315.071 | − | 264.376i | 0.0609398 | − | 0.0511346i | ||||
\(300\) | −831.416 | − | 4715.19i | −0.160006 | − | 0.907439i | ||||
\(301\) | 1583.86 | − | 4351.63i | 0.303297 | − | 0.833302i | ||||
\(302\) | − | 567.823i | − | 0.108194i | ||||||
\(303\) | 3805.43 | + | 1385.06i | 0.721506 | + | 0.262607i | ||||
\(304\) | −20.2011 | − | 11.6631i | −0.00381123 | − | 0.00220041i | ||||
\(305\) | 955.269 | − | 5417.60i | 0.179340 | − | 1.01709i | ||||
\(306\) | −3081.74 | − | 5337.73i | −0.575723 | − | 0.997181i | ||||
\(307\) | −3973.48 | + | 6882.27i | −0.738692 | + | 1.27945i | 0.214392 | + | 0.976748i | \(0.431223\pi\) |
−0.953084 | + | 0.302705i | \(0.902110\pi\) | |||||||
\(308\) | −5545.20 | − | 4652.98i | −1.02587 | − | 0.860805i | ||||
\(309\) | −6188.38 | + | 1091.18i | −1.13930 | + | 0.200890i | ||||
\(310\) | 3378.67 | − | 1950.68i | 0.619019 | − | 0.357391i | ||||
\(311\) | 1270.32 | + | 3490.17i | 0.231618 | + | 0.636365i | 0.999993 | − | 0.00363418i | \(-0.00115680\pi\) |
−0.768375 | + | 0.639999i | \(0.778935\pi\) | |||||||
\(312\) | −2172.36 | + | 790.673i | −0.394184 | + | 0.143471i | ||||
\(313\) | 4596.79 | + | 810.538i | 0.830115 | + | 0.146372i | 0.572530 | − | 0.819884i | \(-0.305962\pi\) |
0.257585 | + | 0.966256i | \(0.417073\pi\) | |||||||
\(314\) | −2408.36 | − | 2870.17i | −0.432839 | − | 0.515838i | ||||
\(315\) | −16356.9 | − | 19493.4i | −2.92574 | − | 3.48676i | ||||
\(316\) | 2178.96 | + | 384.209i | 0.387899 | + | 0.0683970i | ||||
\(317\) | 1202.54 | − | 437.687i | 0.213064 | − | 0.0775488i | −0.233283 | − | 0.972409i | \(-0.574947\pi\) |
0.446347 | + | 0.894860i | \(0.352725\pi\) | |||||||
\(318\) | −588.406 | − | 1616.63i | −0.103761 | − | 0.285082i | ||||
\(319\) | −7790.07 | + | 4497.60i | −1.36727 | + | 0.789396i | ||||
\(320\) | 1012.85 | − | 178.593i | 0.176938 | − | 0.0311989i | ||||
\(321\) | 6674.33 | + | 5600.43i | 1.16051 | + | 0.973786i | ||||
\(322\) | −377.020 | + | 653.018i | −0.0652500 | + | 0.113016i | ||||
\(323\) | 41.8303 | + | 72.4521i | 0.00720588 | + | 0.0124809i | ||||
\(324\) | −489.717 | + | 2777.32i | −0.0839707 | + | 0.476221i | ||||
\(325\) | 3711.79 | + | 2143.00i | 0.633517 | + | 0.365761i | ||||
\(326\) | 316.319 | + | 115.131i | 0.0537401 | + | 0.0195598i | ||||
\(327\) | − | 3938.47i | − | 0.666049i | ||||||
\(328\) | −935.886 | + | 2571.33i | −0.157548 | + | 0.432859i | ||||
\(329\) | 2203.73 | + | 12498.0i | 0.369288 | + | 2.09434i | ||||
\(330\) | 13574.6 | − | 11390.4i | 2.26441 | − | 1.90006i | ||||
\(331\) | −4956.63 | + | 5907.09i | −0.823085 | + | 0.980915i | −0.999995 | − | 0.00331213i | \(-0.998946\pi\) |
0.176909 | + | 0.984227i | \(0.443390\pi\) | |||||||
\(332\) | 5467.38 | 0.903800 | ||||||||
\(333\) | 10776.5 | − | 5472.91i | 1.77341 | − | 0.900641i | ||||
\(334\) | 4424.63 | 0.724865 | ||||||||
\(335\) | −1795.91 | + | 2140.28i | −0.292899 | + | 0.349063i | ||||
\(336\) | 3246.68 | − | 2724.29i | 0.527146 | − | 0.442328i | ||||
\(337\) | −201.972 | − | 1145.44i | −0.0326472 | − | 0.185151i | 0.964123 | − | 0.265455i | \(-0.0855222\pi\) |
−0.996770 | + | 0.0803035i | \(0.974411\pi\) | |||||||
\(338\) | −795.051 | + | 2184.38i | −0.127944 | + | 0.351523i | ||||
\(339\) | 9345.03i | 1.49720i | ||||||||
\(340\) | −3466.22 | − | 1261.60i | −0.552888 | − | 0.201235i | ||||
\(341\) | 6451.86 | + | 3724.99i | 1.02460 | + | 0.591552i | ||||
\(342\) | 27.1909 | − | 154.208i | 0.00429918 | − | 0.0243818i | ||||
\(343\) | 2704.54 | + | 4684.40i | 0.425747 | + | 0.737416i | ||||
\(344\) | −628.211 | + | 1088.09i | −0.0984618 | + | 0.170541i | ||||
\(345\) | −1414.02 | − | 1186.51i | −0.220662 | − | 0.185158i | ||||
\(346\) | −2957.71 | + | 521.523i | −0.459558 | + | 0.0810326i | ||||
\(347\) | −8077.43 | + | 4663.50i | −1.24962 | + | 0.721470i | −0.971034 | − | 0.238941i | \(-0.923200\pi\) |
−0.278588 | + | 0.960411i | \(0.589866\pi\) | |||||||
\(348\) | −1801.30 | − | 4949.02i | −0.277470 | − | 0.762343i | ||||
\(349\) | 5958.35 | − | 2168.66i | 0.913877 | − | 0.332624i | 0.158077 | − | 0.987427i | \(-0.449471\pi\) |
0.755800 | + | 0.654803i | \(0.227248\pi\) | |||||||
\(350\) | −7738.29 | − | 1364.47i | −1.18180 | − | 0.208383i | ||||
\(351\) | −4960.04 | − | 5911.14i | −0.754266 | − | 0.898899i | ||||
\(352\) | 1262.41 | + | 1504.48i | 0.191155 | + | 0.227810i | ||||
\(353\) | 3001.25 | + | 529.201i | 0.452522 | + | 0.0797919i | 0.395264 | − | 0.918568i | \(-0.370653\pi\) |
0.0572581 | + | 0.998359i | \(0.481764\pi\) | |||||||
\(354\) | −3771.94 | + | 1372.87i | −0.566318 | + | 0.206123i | ||||
\(355\) | 2526.07 | + | 6940.31i | 0.377661 | + | 1.03762i | ||||
\(356\) | 5718.99 | − | 3301.86i | 0.851422 | − | 0.491569i | ||||
\(357\) | −14969.7 | + | 2639.56i | −2.21927 | + | 0.391318i | ||||
\(358\) | −2349.36 | − | 1971.35i | −0.346837 | − | 0.291031i | ||||
\(359\) | 4549.78 | − | 7880.45i | 0.668881 | − | 1.15854i | −0.309336 | − | 0.950953i | \(-0.600107\pi\) |
0.978217 | − | 0.207583i | \(-0.0665597\pi\) | |||||||
\(360\) | 3452.02 | + | 5979.08i | 0.505382 | + | 0.875347i | ||||
\(361\) | 1190.68 | − | 6752.70i | 0.173594 | − | 0.984503i | ||||
\(362\) | −5142.97 | − | 2969.30i | −0.746709 | − | 0.431112i | ||||
\(363\) | 20561.8 | + | 7483.89i | 2.97305 | + | 1.08210i | ||||
\(364\) | 3793.94i | 0.546309i | ||||||||
\(365\) | −5077.54 | + | 13950.4i | −0.728138 | + | 2.00054i | ||||
\(366\) | 1068.04 | + | 6057.15i | 0.152534 | + | 0.865061i | ||||
\(367\) | −10171.1 | + | 8534.54i | −1.44666 | + | 1.21390i | −0.511695 | + | 0.859167i | \(0.670982\pi\) |
−0.934970 | + | 0.354728i | \(0.884573\pi\) | |||||||
\(368\) | 131.502 | − | 156.718i | 0.0186277 | − | 0.0221996i | ||||
\(369\) | −18368.8 | −2.59144 | ||||||||
\(370\) | 2835.16 | − | 6654.69i | 0.398359 | − | 0.935029i | ||||
\(371\) | −2823.39 | −0.395102 | ||||||||
\(372\) | −2803.78 | + | 3341.42i | −0.390778 | + | 0.465711i | ||||
\(373\) | 964.138 | − | 809.008i | 0.133837 | − | 0.112303i | −0.573412 | − | 0.819267i | \(-0.694380\pi\) |
0.707249 | + | 0.706965i | \(0.249936\pi\) | |||||||
\(374\) | −1223.15 | − | 6936.82i | −0.169111 | − | 0.959076i | ||||
\(375\) | 406.977 | − | 1118.16i | 0.0560432 | − | 0.153977i | ||||
\(376\) | − | 3443.17i | − | 0.472255i | ||||||
\(377\) | 4430.21 | + | 1612.46i | 0.605218 | + | 0.220281i | ||||
\(378\) | 12251.5 | + | 7073.40i | 1.66706 | + | 0.962477i | ||||
\(379\) | 1296.81 | − | 7354.55i | 0.175758 | − | 0.996776i | −0.761506 | − | 0.648157i | \(-0.775540\pi\) |
0.937265 | − | 0.348618i | \(-0.113349\pi\) | |||||||
\(380\) | −46.8563 | − | 81.1576i | −0.00632547 | − | 0.0109560i | ||||
\(381\) | −6735.34 | + | 11665.9i | −0.905674 | + | 1.56867i | ||||
\(382\) | 4133.25 | + | 3468.21i | 0.553601 | + | 0.464526i | ||||
\(383\) | 3515.21 | − | 619.826i | 0.468979 | − | 0.0826936i | 0.0658354 | − | 0.997830i | \(-0.479029\pi\) |
0.403143 | + | 0.915137i | \(0.367918\pi\) | |||||||
\(384\) | −995.831 | + | 574.944i | −0.132339 | + | 0.0764062i | ||||
\(385\) | −9946.47 | − | 27327.7i | −1.31667 | − | 3.61753i | ||||
\(386\) | −3376.43 | + | 1228.92i | −0.445222 | + | 0.162048i | ||||
\(387\) | −8306.09 | − | 1464.59i | −1.09101 | − | 0.192375i | ||||
\(388\) | 1832.39 | + | 2183.76i | 0.239757 | + | 0.285731i | ||||
\(389\) | −7324.74 | − | 8729.29i | −0.954702 | − | 1.13777i | −0.990376 | − | 0.138406i | \(-0.955802\pi\) |
0.0356733 | − | 0.999364i | \(-0.488642\pi\) | |||||||
\(390\) | −9146.41 | − | 1612.76i | −1.18755 | − | 0.209398i | ||||
\(391\) | −689.486 | + | 250.953i | −0.0891786 | + | 0.0324583i | ||||
\(392\) | −1440.43 | − | 3957.56i | −0.185594 | − | 0.509916i | ||||
\(393\) | −14245.0 | + | 8224.38i | −1.82842 | + | 1.05564i | ||||
\(394\) | 4735.93 | − | 835.072i | 0.605565 | − | 0.106777i | ||||
\(395\) | 6809.35 | + | 5713.72i | 0.867381 | + | 0.727819i | ||||
\(396\) | −6591.93 | + | 11417.6i | −0.836507 | + | 1.44887i | ||||
\(397\) | 198.933 | + | 344.562i | 0.0251490 | + | 0.0435594i | 0.878326 | − | 0.478062i | \(-0.158661\pi\) |
−0.853177 | + | 0.521622i | \(0.825327\pi\) | |||||||
\(398\) | −1112.44 | + | 6308.93i | −0.140104 | + | 0.794569i | ||||
\(399\) | −334.442 | − | 193.090i | −0.0419625 | − | 0.0242271i | ||||
\(400\) | 2003.31 | + | 729.146i | 0.250414 | + | 0.0911432i | ||||
\(401\) | − | 4643.24i | − | 0.578235i | −0.957294 | − | 0.289118i | \(-0.906638\pi\) | ||
0.957294 | − | 0.289118i | \(-0.0933618\pi\) | |||||||
\(402\) | 1068.39 | − | 2935.38i | 0.132554 | − | 0.364188i | ||||
\(403\) | −678.035 | − | 3845.33i | −0.0838098 | − | 0.475309i | ||||
\(404\) | −1381.30 | + | 1159.04i | −0.170104 | + | 0.142734i | ||||
\(405\) | −7282.77 | + | 8679.26i | −0.893540 | + | 1.06488i | ||||
\(406\) | −8643.28 | −1.05655 | ||||||||
\(407\) | 13712.2 | − | 1665.21i | 1.66999 | − | 0.202804i | ||||
\(408\) | 4124.12 | 0.500427 | ||||||||
\(409\) | 1702.58 | − | 2029.06i | 0.205837 | − | 0.245307i | −0.653243 | − | 0.757148i | \(-0.726592\pi\) |
0.859080 | + | 0.511841i | \(0.171036\pi\) | |||||||
\(410\) | −8421.30 | + | 7066.31i | −1.01439 | + | 0.851171i | ||||
\(411\) | 338.143 | + | 1917.71i | 0.0405824 | + | 0.230154i | ||||
\(412\) | 956.956 | − | 2629.22i | 0.114432 | − | 0.314398i | ||||
\(413\) | 6587.56i | 0.784873i | ||||||||
\(414\) | 1290.50 | + | 469.705i | 0.153200 | + | 0.0557602i | ||||
\(415\) | 19022.3 | + | 10982.6i | 2.25005 | + | 1.29907i | ||||
\(416\) | 178.744 | − | 1013.70i | 0.0210664 | − | 0.119473i | ||||
\(417\) | 126.074 | + | 218.367i | 0.0148055 | + | 0.0256438i | ||||
\(418\) | 89.4761 | − | 154.977i | 0.0104699 | − | 0.0181344i | ||||
\(419\) | −11887.0 | − | 9974.40i | −1.38597 | − | 1.16296i | −0.966945 | − | 0.254986i | \(-0.917929\pi\) |
−0.419020 | − | 0.907977i | \(-0.637626\pi\) | |||||||
\(420\) | 16768.4 | − | 2956.72i | 1.94813 | − | 0.343507i | ||||
\(421\) | −8970.12 | + | 5178.90i | −1.03842 | + | 0.599535i | −0.919387 | − | 0.393355i | \(-0.871314\pi\) |
−0.119038 | + | 0.992890i | \(0.537981\pi\) | |||||||
\(422\) | 2116.90 | + | 5816.13i | 0.244192 | + | 0.670912i | ||||
\(423\) | 21719.7 | − | 7905.32i | 2.49657 | − | 0.908676i | ||||
\(424\) | 754.382 | + | 133.018i | 0.0864057 | + | 0.0152357i | ||||
\(425\) | −4914.81 | − | 5857.24i | −0.560948 | − | 0.668512i | ||||
\(426\) | −5307.89 | − | 6325.70i | −0.603681 | − | 0.719439i | ||||
\(427\) | 9940.63 | + | 1752.80i | 1.12661 | + | 0.198651i | ||||
\(428\) | −3645.48 | + | 1326.85i | −0.411707 | + | 0.149849i | ||||
\(429\) | −6065.82 | − | 16665.7i | −0.682659 | − | 1.87559i | ||||
\(430\) | −4371.39 | + | 2523.83i | −0.490250 | + | 0.283046i | ||||
\(431\) | 11385.1 | − | 2007.50i | 1.27239 | − | 0.224357i | 0.503645 | − | 0.863910i | \(-0.331992\pi\) |
0.768747 | + | 0.639553i | \(0.220881\pi\) | |||||||
\(432\) | −2940.23 | − | 2467.15i | −0.327458 | − | 0.274770i | ||||
\(433\) | 1540.64 | − | 2668.47i | 0.170990 | − | 0.296163i | −0.767776 | − | 0.640718i | \(-0.778637\pi\) |
0.938766 | + | 0.344555i | \(0.111970\pi\) | |||||||
\(434\) | 3579.25 | + | 6199.45i | 0.395875 | + | 0.685675i | ||||
\(435\) | 3674.15 | − | 20837.2i | 0.404971 | − | 2.29670i | ||||
\(436\) | 1518.70 | + | 876.824i | 0.166818 | + | 0.0963125i | ||||
\(437\) | −17.5168 | − | 6.37558i | −0.00191748 | − | 0.000697907i | ||||
\(438\) | − | 16598.3i | − | 1.81072i | ||||||
\(439\) | 4966.56 | − | 13645.5i | 0.539956 | − | 1.48352i | −0.306924 | − | 0.951734i | \(-0.599300\pi\) |
0.846880 | − | 0.531784i | \(-0.178478\pi\) | |||||||
\(440\) | 1370.11 | + | 7770.30i | 0.148449 | + | 0.841897i | ||||
\(441\) | 21657.4 | − | 18172.7i | 2.33855 | − | 1.96228i | ||||
\(442\) | −2373.03 | + | 2828.07i | −0.255370 | + | 0.304338i | ||||
\(443\) | −4198.05 | −0.450237 | −0.225119 | − | 0.974331i | \(-0.572277\pi\) | ||||
−0.225119 | + | 0.974331i | \(0.572277\pi\) | |||||||
\(444\) | −433.959 | + | 8075.73i | −0.0463847 | + | 0.863192i | ||||
\(445\) | 26530.3 | 2.82620 | ||||||||
\(446\) | 1183.86 | − | 1410.87i | 0.125689 | − | 0.149790i | ||||
\(447\) | 15167.9 | − | 12727.4i | 1.60496 | − | 1.34672i | ||||
\(448\) | 327.696 | + | 1858.46i | 0.0345584 | + | 0.195991i | ||||
\(449\) | 1053.22 | − | 2893.69i | 0.110700 | − | 0.304146i | −0.871956 | − | 0.489585i | \(-0.837148\pi\) |
0.982656 | + | 0.185439i | \(0.0593706\pi\) | |||||||
\(450\) | 14311.1i | 1.49918i | ||||||||
\(451\) | −19726.5 | − | 7179.86i | −2.05961 | − | 0.749637i | ||||
\(452\) | −3603.51 | − | 2080.49i | −0.374989 | − | 0.216500i | ||||
\(453\) | −442.893 | + | 2511.77i | −0.0459358 | + | 0.260515i | ||||
\(454\) | −1703.12 | − | 2949.88i | −0.176060 | − | 0.304945i | ||||
\(455\) | −7621.05 | + | 13200.0i | −0.785231 | + | 1.36006i | ||||
\(456\) | 80.2627 | + | 67.3484i | 0.00824264 | + | 0.00691640i | ||||
\(457\) | −4641.33 | + | 818.392i | −0.475081 | + | 0.0837697i | −0.406062 | − | 0.913846i | \(-0.633098\pi\) |
−0.0690197 | + | 0.997615i | \(0.521987\pi\) | |||||||
\(458\) | 8823.39 | − | 5094.19i | 0.900196 | − | 0.519729i | ||||
\(459\) | 4708.20 | + | 12935.7i | 0.478780 | + | 1.31544i | ||||
\(460\) | 772.331 | − | 281.106i | 0.0782829 | − | 0.0284926i | ||||
\(461\) | 2575.54 | + | 454.138i | 0.260206 | + | 0.0458814i | 0.302229 | − | 0.953235i | \(-0.402269\pi\) |
−0.0420231 | + | 0.999117i | \(0.513380\pi\) | |||||||
\(462\) | 20900.0 | + | 24907.6i | 2.10467 | + | 2.50824i | ||||
\(463\) | 4109.48 | + | 4897.49i | 0.412492 | + | 0.491589i | 0.931787 | − | 0.363006i | \(-0.118250\pi\) |
−0.519295 | + | 0.854595i | \(0.673805\pi\) | |||||||
\(464\) | 2309.40 | + | 407.210i | 0.231059 | + | 0.0407419i | ||||
\(465\) | −16467.1 | + | 5993.53i | −1.64224 | + | 0.597727i | ||||
\(466\) | −2087.59 | − | 5735.62i | −0.207524 | − | 0.570166i | ||||
\(467\) | −8209.20 | + | 4739.58i | −0.813440 | + | 0.469640i | −0.848149 | − | 0.529758i | \(-0.822283\pi\) |
0.0347092 | + | 0.999397i | \(0.488949\pi\) | |||||||
\(468\) | 6804.89 | − | 1199.89i | 0.672129 | − | 0.118514i | ||||
\(469\) | −3927.16 | − | 3295.28i | −0.386651 | − | 0.324439i | ||||
\(470\) | 6916.43 | − | 11979.6i | 0.678790 | − | 1.17570i | ||||
\(471\) | 8414.71 | + | 14574.7i | 0.823204 | + | 1.42583i | ||||
\(472\) | 310.359 | − | 1760.13i | 0.0302657 | − | 0.171645i | ||||
\(473\) | −8347.54 | − | 4819.46i | −0.811460 | − | 0.468497i | ||||
\(474\) | −9338.97 | − | 3399.11i | −0.904964 | − | 0.329380i | ||||
\(475\) | − | 194.253i | − | 0.0187641i | ||||||
\(476\) | 2314.88 | − | 6360.08i | 0.222904 | − | 0.612424i | ||||
\(477\) | 892.935 | + | 5064.09i | 0.0857121 | + | 0.486098i | ||||
\(478\) | −7153.31 | + | 6002.34i | −0.684487 | + | 0.574353i | ||||
\(479\) | 10520.8 | − | 12538.2i | 1.00357 | − | 1.19600i | 0.0230171 | − | 0.999735i | \(-0.492673\pi\) |
0.980550 | − | 0.196270i | \(-0.0628828\pi\) | |||||||
\(480\) | −4619.65 | −0.439286 | ||||||||
\(481\) | −5288.14 | − | 4944.38i | −0.501286 | − | 0.468700i | ||||
\(482\) | 9741.21 | 0.920540 | ||||||||
\(483\) | 2177.09 | − | 2594.56i | 0.205096 | − | 0.244424i | ||||
\(484\) | −7463.54 | + | 6262.65i | −0.700933 | + | 0.588153i | ||||
\(485\) | 1988.73 | + | 11278.6i | 0.186192 | + | 1.05595i | ||||
\(486\) | −97.9681 | + | 269.165i | −0.00914387 | + | 0.0251226i | ||||
\(487\) | 3726.47i | 0.346740i | 0.984857 | + | 0.173370i | \(0.0554657\pi\) | ||||
−0.984857 | + | 0.173370i | \(0.944534\pi\) | |||||||
\(488\) | −2573.46 | − | 936.663i | −0.238719 | − | 0.0868868i | ||||
\(489\) | −1309.44 | − | 756.005i | −0.121094 | − | 0.0699135i | ||||
\(490\) | 2938.10 | − | 16662.8i | 0.270877 | − | 1.53622i | ||||
\(491\) | −7105.93 | − | 12307.8i | −0.653129 | − | 1.13125i | −0.982359 | − | 0.187003i | \(-0.940123\pi\) |
0.329230 | − | 0.944250i | \(-0.393211\pi\) | |||||||
\(492\) | 6145.49 | − | 10644.3i | 0.563130 | − | 0.975370i | ||||
\(493\) | −6442.85 | − | 5406.19i | −0.588583 | − | 0.493880i | ||||
\(494\) | −92.3668 | + | 16.2868i | −0.00841251 | + | 0.00148335i | ||||
\(495\) | −45869.8 | + | 26482.9i | −4.16504 | + | 2.40469i | ||||
\(496\) | −664.268 | − | 1825.06i | −0.0601341 | − | 0.165217i | ||||
\(497\) | −12734.6 | + | 4635.02i | −1.14935 | + | 0.418328i | ||||
\(498\) | −24185.0 | − | 4264.47i | −2.17622 | − | 0.383726i | ||||
\(499\) | 9762.78 | + | 11634.8i | 0.875836 | + | 1.04378i | 0.998680 | + | 0.0513549i | \(0.0163540\pi\) |
−0.122844 | + | 0.992426i | \(0.539202\pi\) | |||||||
\(500\) | 340.565 | + | 405.870i | 0.0304611 | + | 0.0363021i | ||||
\(501\) | −19572.4 | − | 3451.14i | −1.74537 | − | 0.307755i | ||||
\(502\) | −557.743 | + | 203.002i | −0.0495883 | + | 0.0180486i | ||||
\(503\) | −4067.09 | − | 11174.2i | −0.360522 | − | 0.990525i | −0.978845 | − | 0.204602i | \(-0.934410\pi\) |
0.618324 | − | 0.785924i | \(-0.287812\pi\) | |||||||
\(504\) | −10970.9 | + | 6334.03i | −0.969606 | + | 0.559802i | ||||
\(505\) | −7134.08 | + | 1257.93i | −0.628639 | + | 0.110846i | ||||
\(506\) | 1202.29 | + | 1008.84i | 0.105629 | + | 0.0886336i | ||||
\(507\) | 5220.69 | − | 9042.51i | 0.457316 | − | 0.792094i | ||||
\(508\) | −2998.98 | − | 5194.39i | −0.261926 | − | 0.453669i | ||||
\(509\) | −3245.43 | + | 18405.7i | −0.282615 | + | 1.60279i | 0.431067 | + | 0.902320i | \(0.358137\pi\) |
−0.713682 | + | 0.700470i | \(0.752974\pi\) | |||||||
\(510\) | 14348.8 | + | 8284.29i | 1.24583 | + | 0.719283i | ||||
\(511\) | −25597.3 | − | 9316.66i | −2.21596 | − | 0.806545i | ||||
\(512\) | − | 512.000i | − | 0.0441942i | ||||||
\(513\) | −119.614 | + | 328.638i | −0.0102946 | + | 0.0282841i | ||||
\(514\) | −1793.65 | − | 10172.3i | −0.153919 | − | 0.872918i | ||||
\(515\) | 8610.89 | − | 7225.40i | 0.736779 | − | 0.618231i | ||||
\(516\) | 3627.59 | − | 4323.19i | 0.309488 | − | 0.368833i | ||||
\(517\) | 26415.0 | 2.24706 | ||||||||
\(518\) | 12210.5 | + | 5202.17i | 1.03571 | + | 0.441255i | ||||
\(519\) | 13490.2 | 1.14095 | ||||||||
\(520\) | 2658.16 | − | 3167.87i | 0.224169 | − | 0.267155i | ||||
\(521\) | −979.426 | + | 821.836i | −0.0823598 | + | 0.0691080i | −0.683038 | − | 0.730383i | \(-0.739342\pi\) |
0.600678 | + | 0.799491i | \(0.294897\pi\) | |||||||
\(522\) | 2733.56 | + | 15502.8i | 0.229204 | + | 1.29988i | ||||
\(523\) | −3900.58 | + | 10716.8i | −0.326120 | + | 0.896006i | 0.662964 | + | 0.748651i | \(0.269298\pi\) |
−0.989084 | + | 0.147355i | \(0.952924\pi\) | |||||||
\(524\) | − | 7324.00i | − | 0.610592i | ||||||
\(525\) | 33166.1 | + | 12071.5i | 2.75712 | + | 1.00351i | ||||
\(526\) | −3089.63 | − | 1783.80i | −0.256111 | − | 0.147866i | ||||
\(527\) | −1209.59 | + | 6859.93i | −0.0999821 | + | 0.567027i | ||||
\(528\) | −4410.81 | − | 7639.74i | −0.363552 | − | 0.629691i | ||||
\(529\) | −6001.76 | + | 10395.3i | −0.493281 | + | 0.854389i | ||||
\(530\) | 2357.48 | + | 1978.16i | 0.193212 | + | 0.162124i | ||||
\(531\) | 11815.6 | − | 2083.41i | 0.965635 | − | 0.170268i | ||||
\(532\) | 148.914 | − | 85.9756i | 0.0121358 | − | 0.00700661i | ||||
\(533\) | 3763.08 | + | 10339.0i | 0.305810 | + | 0.840207i | ||||
\(534\) | −27873.4 | + | 10145.1i | −2.25880 | + | 0.822137i | ||||
\(535\) | −15348.8 | − | 2706.40i | −1.24035 | − | 0.218707i | ||||
\(536\) | 894.048 | + | 1065.49i | 0.0720467 | + | 0.0858619i | ||||
\(537\) | 8854.81 | + | 10552.7i | 0.711570 | + | 0.848016i | ||||
\(538\) | −8962.36 | − | 1580.31i | −0.718206 | − | 0.126639i | ||||
\(539\) | 30361.3 | − | 11050.6i | 2.42626 | − | 0.883086i | ||||
\(540\) | −5273.91 | − | 14490.0i | −0.420284 | − | 1.15472i | ||||
\(541\) | 3747.88 | − | 2163.84i | 0.297844 | − | 0.171960i | −0.343630 | − | 0.939105i | \(-0.611657\pi\) |
0.641474 | + | 0.767145i | \(0.278323\pi\) | |||||||
\(542\) | −4716.84 | + | 831.706i | −0.373811 | + | 0.0659130i | ||||
\(543\) | 20434.0 | + | 17146.1i | 1.61493 | + | 1.35508i | ||||
\(544\) | −918.155 | + | 1590.29i | −0.0723632 | + | 0.125337i | ||||
\(545\) | 3522.62 | + | 6101.36i | 0.276867 | + | 0.479548i | ||||
\(546\) | 2959.21 | − | 16782.5i | 0.231946 | − | 1.31543i | ||||
\(547\) | −8198.85 | − | 4733.61i | −0.640873 | − | 0.370008i | 0.144078 | − | 0.989566i | \(-0.453978\pi\) |
−0.784951 | + | 0.619558i | \(0.787312\pi\) | |||||||
\(548\) | −814.763 | − | 296.550i | −0.0635127 | − | 0.0231167i | ||||
\(549\) | − | 18384.1i | − | 1.42917i | ||||||
\(550\) | −5593.80 | + | 15368.8i | −0.433674 | + | 1.19151i | ||||
\(551\) | −37.1042 | − | 210.428i | −0.00286877 | − | 0.0162696i | ||||
\(552\) | −703.936 | + | 590.672i | −0.0542781 | + | 0.0455447i | ||||
\(553\) | −10484.0 | + | 12494.3i | −0.806192 | + | 0.960782i | ||||
\(554\) | 13674.9 | 1.04872 | ||||||||
\(555\) | −17731.9 | + | 27225.7i | −1.35617 | + | 2.08228i | ||||
\(556\) | −112.272 | −0.00856365 | ||||||||
\(557\) | 7202.80 | − | 8583.97i | 0.547922 | − | 0.652988i | −0.419022 | − | 0.907976i | \(-0.637627\pi\) |
0.966944 | + | 0.254988i | \(0.0820715\pi\) | |||||||
\(558\) | 9987.47 | − | 8380.48i | 0.757712 | − | 0.635796i | ||||
\(559\) | 877.255 | + | 4975.16i | 0.0663755 | + | 0.376434i | ||||
\(560\) | −2593.02 | + | 7124.27i | −0.195670 | + | 0.537599i | ||||
\(561\) | 31639.1i | 2.38111i | ||||||||
\(562\) | 10194.9 | + | 3710.62i | 0.765203 | + | 0.278511i | ||||
\(563\) | −16981.4 | − | 9804.24i | −1.27119 | − | 0.733924i | −0.295981 | − | 0.955194i | \(-0.595647\pi\) |
−0.975213 | + | 0.221270i | \(0.928980\pi\) | |||||||
\(564\) | −2685.61 | + | 15230.9i | −0.200505 | + | 1.13712i | ||||
\(565\) | −8358.33 | − | 14477.0i | −0.622367 | − | 1.07797i | ||||
\(566\) | 1456.89 | − | 2523.40i | 0.108193 | − | 0.187396i | ||||
\(567\) | −15925.4 | − | 13363.0i | −1.17955 | − | 0.989757i | ||||
\(568\) | 3620.93 | − | 638.468i | 0.267484 | − | 0.0471647i | ||||
\(569\) | 18295.5 | − | 10562.9i | 1.34795 | − | 0.778241i | 0.359994 | − | 0.932955i | \(-0.382779\pi\) |
0.987959 | + | 0.154713i | \(0.0494454\pi\) | |||||||
\(570\) | 143.968 | + | 395.548i | 0.0105792 | + | 0.0290661i | ||||
\(571\) | 12984.2 | − | 4725.86i | 0.951614 | − | 0.346359i | 0.180872 | − | 0.983507i | \(-0.442108\pi\) |
0.770742 | + | 0.637148i | \(0.219886\pi\) | |||||||
\(572\) | 7776.86 | + | 1371.27i | 0.568474 | + | 0.100237i | ||||
\(573\) | −15578.3 | − | 18565.5i | −1.13576 | − | 1.35355i | ||||
\(574\) | −12965.8 | − | 15452.0i | −0.942826 | − | 1.12362i | ||||
\(575\) | 1677.79 | + | 295.840i | 0.121685 | + | 0.0214563i | ||||
\(576\) | 3229.72 | − | 1175.52i | 0.233632 | − | 0.0850350i | ||||
\(577\) | −6192.00 | − | 17012.4i | −0.446753 | − | 1.22744i | −0.934972 | − | 0.354722i | \(-0.884576\pi\) |
0.488219 | − | 0.872721i | \(-0.337647\pi\) | |||||||
\(578\) | −2805.92 | + | 1620.00i | −0.201922 | + | 0.116580i | ||||
\(579\) | 15894.2 | − | 2802.58i | 1.14083 | − | 0.201159i | ||||
\(580\) | 7216.99 | + | 6055.77i | 0.516671 | + | 0.433538i | ||||
\(581\) | −20151.6 | + | 34903.7i | −1.43895 | + | 2.49234i | ||||
\(582\) | −6402.30 | − | 11089.1i | −0.455986 | − | 0.789791i | ||||
\(583\) | −1020.48 | + | 5787.41i | −0.0724937 | + | 0.411132i | ||||
\(584\) | 6400.42 | + | 3695.28i | 0.453512 | + | 0.261835i | ||||
\(585\) | 26086.1 | + | 9494.57i | 1.84364 | + | 0.671029i | ||||
\(586\) | 9657.68i | 0.680811i | ||||||||
\(587\) | −4394.05 | + | 12072.6i | −0.308964 | + | 0.848872i | 0.683895 | + | 0.729580i | \(0.260285\pi\) |
−0.992859 | + | 0.119292i | \(0.961938\pi\) | |||||||
\(588\) | 3284.94 | + | 18629.8i | 0.230389 | + | 1.30660i | ||||
\(589\) | −135.566 | + | 113.753i | −0.00948369 | + | 0.00795776i | ||||
\(590\) | 4615.46 | − | 5500.49i | 0.322060 | − | 0.383817i | ||||
\(591\) | −21600.8 | −1.50345 | ||||||||
\(592\) | −3017.45 | − | 1965.24i | −0.209487 | − | 0.136437i | ||||
\(593\) | −14582.2 | −1.00981 | −0.504905 | − | 0.863175i | \(-0.668472\pi\) | ||||
−0.504905 | + | 0.863175i | \(0.668472\pi\) | |||||||
\(594\) | 18927.3 | − | 22556.6i | 1.30740 | − | 1.55810i | ||||
\(595\) | 20829.8 | − | 17478.3i | 1.43519 | − | 1.20427i | ||||
\(596\) | 1530.94 | + | 8682.38i | 0.105218 | + | 0.596718i | ||||
\(597\) | 9841.73 | − | 27039.9i | 0.674699 | − | 1.85372i | ||||
\(598\) | − | 822.591i | − | 0.0562512i | ||||||
\(599\) | −22668.4 | − | 8250.62i | −1.54625 | − | 0.562790i | −0.578719 | − | 0.815527i | \(-0.696447\pi\) |
−0.967535 | + | 0.252737i | \(0.918669\pi\) | |||||||
\(600\) | −8292.94 | − | 4787.93i | −0.564263 | − | 0.325777i | ||||
\(601\) | −3901.91 | + | 22128.8i | −0.264829 | + | 1.50192i | 0.504694 | + | 0.863298i | \(0.331605\pi\) |
−0.769523 | + | 0.638620i | \(0.779506\pi\) | |||||||
\(602\) | −4630.91 | − | 8020.97i | −0.313524 | − | 0.543040i | ||||
\(603\) | −4668.45 | + | 8086.00i | −0.315281 | + | 0.546082i | ||||
\(604\) | −869.956 | − | 729.980i | −0.0586060 | − | 0.0491762i | ||||
\(605\) | −38547.5 | + | 6796.96i | −2.59038 | + | 0.456753i | ||||
\(606\) | 7014.21 | − | 4049.65i | 0.470186 | − | 0.271462i | ||||
\(607\) | −6438.09 | − | 17688.5i | −0.430501 | − | 1.18279i | −0.945506 | − | 0.325604i | \(-0.894432\pi\) |
0.515005 | − | 0.857187i | \(-0.327790\pi\) | |||||||
\(608\) | −43.8390 | + | 15.9561i | −0.00292419 | + | 0.00106432i | ||||
\(609\) | 38233.6 | + | 6741.62i | 2.54401 | + | 0.448578i | ||||
\(610\) | −7072.18 | − | 8428.29i | −0.469416 | − | 0.559429i | ||||
\(611\) | −8899.09 | − | 10605.5i | −0.589229 | − | 0.702215i | ||||
\(612\) | −12139.7 | − | 2140.55i | −0.801826 | − | 0.141384i | ||||
\(613\) | 9831.63 | − | 3578.42i | 0.647791 | − | 0.235777i | 0.00283460 | − | 0.999996i | \(-0.499098\pi\) |
0.644956 | + | 0.764219i | \(0.276875\pi\) | |||||||
\(614\) | 5436.04 | + | 14935.4i | 0.357298 | + | 0.981668i | ||||
\(615\) | 42763.3 | − | 24689.4i | 2.80387 | − | 1.61882i | ||||
\(616\) | −14257.5 | + | 2513.99i | −0.932554 | + | 0.164434i | ||||
\(617\) | 3863.48 | + | 3241.84i | 0.252087 | + | 0.211526i | 0.760070 | − | 0.649841i | \(-0.225164\pi\) |
−0.507983 | + | 0.861367i | \(0.669609\pi\) | |||||||
\(618\) | −6283.85 | + | 10883.9i | −0.409018 | + | 0.708441i | ||||
\(619\) | 3716.30 | + | 6436.81i | 0.241309 | + | 0.417960i | 0.961088 | − | 0.276244i | \(-0.0890898\pi\) |
−0.719778 | + | 0.694204i | \(0.755756\pi\) | |||||||
\(620\) | 1354.93 | − | 7684.17i | 0.0877664 | − | 0.497748i | ||||
\(621\) | −2656.33 | − | 1533.63i | −0.171650 | − | 0.0991023i | ||||
\(622\) | 6980.35 | + | 2540.64i | 0.449978 | + | 0.163779i | ||||
\(623\) | 48679.9i | 3.13053i | ||||||||
\(624\) | −1581.35 | + | 4344.71i | −0.101450 | + | 0.278730i | ||||
\(625\) | −2522.54 | − | 14306.1i | −0.161443 | − | 0.915588i | ||||
\(626\) | 7151.34 | − | 6000.68i | 0.456589 | − | 0.383124i | ||||
\(627\) | −516.678 | + | 615.753i | −0.0329093 | + | 0.0392198i | ||||
\(628\) | −7493.48 | −0.476151 | ||||||||
\(629\) | 5848.10 | + | 11515.2i | 0.370714 | + | 0.729955i | ||||
\(630\) | −50893.7 | −3.21850 | ||||||||
\(631\) | 732.918 | − | 873.458i | 0.0462393 | − | 0.0551059i | −0.742429 | − | 0.669925i | \(-0.766326\pi\) |
0.788668 | + | 0.614819i | \(0.210771\pi\) | |||||||
\(632\) | 3389.86 | − | 2844.43i | 0.213357 | − | 0.179027i | ||||
\(633\) | −4827.63 | − | 27378.9i | −0.303130 | − | 1.71913i | ||||
\(634\) | 875.375 | − | 2405.07i | 0.0548353 | − | 0.150659i | ||||
\(635\) | − | 24096.7i | − | 1.50590i | ||||||
\(636\) | −3233.26 | − | 1176.81i | −0.201584 | − | 0.0733704i | ||||
\(637\) | −14665.4 | − | 8467.05i | −0.912186 | − | 0.526651i | ||||
\(638\) | −3124.00 | + | 17717.1i | −0.193856 | + | 1.09941i | ||||
\(639\) | 12341.0 | + | 21375.2i | 0.764007 | + | 1.32330i | ||||
\(640\) | 1028.48 | − | 1781.37i | 0.0635220 | − | 0.110023i | ||||
\(641\) | −4095.47 | − | 3436.51i | −0.252358 | − | 0.211754i | 0.507829 | − | 0.861458i | \(-0.330448\pi\) |
−0.760187 | + | 0.649704i | \(0.774893\pi\) | |||||||
\(642\) | 17160.7 | − | 3025.90i | 1.05495 | − | 0.186016i | ||||
\(643\) | −10464.5 | + | 6041.70i | −0.641805 | + | 0.370546i | −0.785310 | − | 0.619103i | \(-0.787496\pi\) |
0.143504 | + | 0.989650i | \(0.454163\pi\) | |||||||
\(644\) | 515.794 | + | 1417.13i | 0.0315608 | + | 0.0867125i | ||||
\(645\) | 21305.4 | − | 7754.54i | 1.30062 | − | 0.473387i | ||||
\(646\) | 164.779 | + | 29.0550i | 0.0100358 | + | 0.00176959i | ||||
\(647\) | 13522.3 | + | 16115.2i | 0.821661 | + | 0.979218i | 0.999989 | − | 0.00475337i | \(-0.00151305\pi\) |
−0.178327 | + | 0.983971i | \(0.557069\pi\) | |||||||
\(648\) | 3625.54 | + | 4320.75i | 0.219791 | + | 0.261937i | ||||
\(649\) | 13503.2 | + | 2380.99i | 0.816716 | + | 0.144009i | ||||
\(650\) | 8055.06 | − | 2931.80i | 0.486070 | − | 0.176915i | ||||
\(651\) | −10997.4 | − | 30215.1i | −0.662091 | − | 1.81908i | ||||
\(652\) | 583.042 | − | 336.619i | 0.0350210 | − | 0.0202194i | ||||
\(653\) | 9816.44 | − | 1730.90i | 0.588280 | − | 0.103730i | 0.128418 | − | 0.991720i | \(-0.459010\pi\) |
0.459862 | + | 0.887990i | \(0.347899\pi\) | |||||||
\(654\) | −6034.09 | − | 5063.20i | −0.360782 | − | 0.302732i | ||||
\(655\) | 14712.0 | − | 25481.9i | 0.877627 | − | 1.52009i | ||||
\(656\) | 2736.35 | + | 4739.49i | 0.162860 | + | 0.282083i | ||||
\(657\) | −8615.05 | + | 48858.4i | −0.511575 | + | 2.90129i | ||||
\(658\) | 21981.1 | + | 12690.8i | 1.30230 | + | 0.751882i | ||||
\(659\) | −12833.6 | − | 4671.05i | −0.758614 | − | 0.276113i | −0.0663883 | − | 0.997794i | \(-0.521148\pi\) |
−0.692226 | + | 0.721681i | \(0.743370\pi\) | |||||||
\(660\) | − | 35440.7i | − | 2.09019i | ||||||
\(661\) | −6308.37 | + | 17332.1i | −0.371206 | + | 1.01988i | 0.603690 | + | 0.797219i | \(0.293697\pi\) |
−0.974896 | + | 0.222661i | \(0.928526\pi\) | |||||||
\(662\) | 2678.06 | + | 15188.0i | 0.157229 | + | 0.891690i | ||||
\(663\) | 12703.0 | − | 10659.1i | 0.744106 | − | 0.624379i | ||||
\(664\) | 7028.73 | − | 8376.52i | 0.410795 | − | 0.489566i | ||||
\(665\) | 690.811 | 0.0402834 | ||||||||
\(666\) | 5468.96 | − | 23546.3i | 0.318195 | − | 1.36997i | ||||
\(667\) | 1874.01 | 0.108789 | ||||||||
\(668\) | 5688.19 | − | 6778.92i | 0.329465 | − | 0.392641i | ||||
\(669\) | −6337.26 | + | 5317.59i | −0.366237 | + | 0.307309i | ||||
\(670\) | 970.326 | + | 5502.99i | 0.0559507 | + | 0.317312i | ||||
\(671\) | 7185.82 | − | 19742.9i | 0.413421 | − | 1.13586i | ||||
\(672\) | − | 8476.49i | − | 0.486589i | ||||||
\(673\) | 15244.0 | + | 5548.35i | 0.873124 | + | 0.317791i | 0.739431 | − | 0.673232i | \(-0.235094\pi\) |
0.133692 | + | 0.991023i | \(0.457317\pi\) | |||||||
\(674\) | −2014.56 | − | 1163.11i | −0.115131 | − | 0.0664708i | ||||
\(675\) | 5550.35 | − | 31477.6i | 0.316494 | − | 1.79492i | ||||
\(676\) | 2324.57 | + | 4026.28i | 0.132258 | + | 0.229078i | ||||
\(677\) | 1659.00 | − | 2873.47i | 0.0941809 | − | 0.163126i | −0.815086 | − | 0.579341i | \(-0.803310\pi\) |
0.909266 | + | 0.416215i | \(0.136643\pi\) | |||||||
\(678\) | 14317.4 | + | 12013.7i | 0.810999 | + | 0.680509i | ||||
\(679\) | −20694.9 | + | 3649.07i | −1.16966 | + | 0.206242i | ||||
\(680\) | −6388.97 | + | 3688.67i | −0.360302 | + | 0.208021i | ||||
\(681\) | 5232.88 | + | 14377.2i | 0.294456 | + | 0.809011i | ||||
\(682\) | 14001.4 | − | 5096.08i | 0.786129 | − | 0.286128i | ||||
\(683\) | 17414.7 | + | 3070.69i | 0.975631 | + | 0.172030i | 0.638663 | − | 0.769486i | \(-0.279488\pi\) |
0.336968 | + | 0.941516i | \(0.390599\pi\) | |||||||
\(684\) | −201.304 | − | 239.904i | −0.0112530 | − | 0.0134108i | ||||
\(685\) | −2239.07 | − | 2668.41i | −0.124891 | − | 0.148839i | ||||
\(686\) | 10653.8 | + | 1878.55i | 0.592950 | + | 0.104553i | ||||
\(687\) | −43003.7 | + | 15652.1i | −2.38820 | + | 0.869234i | ||||
\(688\) | 859.443 | + | 2361.30i | 0.0476249 | + | 0.130848i | ||||
\(689\) | 2667.42 | − | 1540.03i | 0.147490 | − | 0.0851532i | ||||
\(690\) | −3635.67 | + | 641.067i | −0.200591 | + | 0.0353695i | ||||
\(691\) | −3930.52 | − | 3298.10i | −0.216388 | − | 0.181571i | 0.528150 | − | 0.849151i | \(-0.322886\pi\) |
−0.744538 | + | 0.667580i | \(0.767330\pi\) | |||||||
\(692\) | −3003.33 | + | 5201.92i | −0.164985 | + | 0.285762i | ||||
\(693\) | −48592.9 | − | 84165.4i | −2.66363 | − | 4.61354i | ||||
\(694\) | −3239.24 | + | 18370.6i | −0.177175 | + | 1.00481i | ||||
\(695\) | −390.621 | − | 225.525i | −0.0213196 | − | 0.0123089i | ||||
\(696\) | −9898.04 | − | 3602.59i | −0.539058 | − | 0.196201i | ||||
\(697\) | − | 19628.1i | − | 1.06667i | ||||||
\(698\) | 4337.32 | − | 11916.7i | 0.235201 | − | 0.646208i | ||||
\(699\) | 4760.80 | + | 26999.8i | 0.257611 | + | 1.46098i | ||||
\(700\) | −12038.6 | + | 10101.6i | −0.650025 | + | 0.545436i | ||||
\(701\) | 18942.6 | − | 22575.0i | 1.02062 | − | 1.21633i | 0.0445181 | − | 0.999009i | \(-0.485825\pi\) |
0.976101 | − | 0.217318i | \(-0.0697308\pi\) | |||||||
\(702\) | −15432.9 | −0.829740 | ||||||||
\(703\) | −74.2334 | + | 319.608i | −0.00398260 | + | 0.0171469i | ||||
\(704\) | 3927.92 | 0.210283 | ||||||||
\(705\) | −39938.8 | + | 47597.2i | −2.13359 | + | 2.54271i | ||||
\(706\) | 4669.11 | − | 3917.85i | 0.248901 | − | 0.208853i | ||||
\(707\) | −2308.15 | − | 13090.2i | −0.122782 | − | 0.696331i | ||||
\(708\) | −2745.75 | + | 7543.88i | −0.145751 | + | 0.400447i | ||||
\(709\) | − | 3780.42i | − | 0.200249i | −0.994975 | − | 0.100125i | \(-0.968076\pi\) | ||
0.994975 | − | 0.100125i | \(-0.0319241\pi\) | |||||||
\(710\) | 13880.6 | + | 5052.13i | 0.733705 | + | 0.267047i | ||||
\(711\) | 25725.7 | + | 14852.8i | 1.35695 | + | 0.783435i | ||||
\(712\) | 2293.45 | − | 13006.8i | 0.120717 | − | 0.684621i | ||||
\(713\) | −776.043 | − | 1344.15i | −0.0407616 | − | 0.0706012i | ||||
\(714\) | −15200.6 | + | 26328.3i | −0.796736 | + | 1.37999i | ||||
\(715\) | 24303.0 | + | 20392.7i | 1.27116 | + | 1.06663i | ||||
\(716\) | −6040.57 | + | 1065.12i | −0.315289 | + | 0.0555939i | ||||
\(717\) | 36324.5 | − | 20971.9i | 1.89200 | − | 1.09234i | ||||
\(718\) | −6224.47 | − | 17101.6i | −0.323531 | − | 0.888893i | ||||
\(719\) | −23579.4 | + | 8582.18i | −1.22303 | + | 0.445148i | −0.871206 | − | 0.490917i | \(-0.836662\pi\) |
−0.351828 | + | 0.936065i | \(0.614440\pi\) | |||||||
\(720\) | 13598.3 | + | 2397.75i | 0.703860 | + | 0.124109i | ||||
\(721\) | 13257.7 | + | 15799.9i | 0.684803 | + | 0.816116i | ||||
\(722\) | −8815.03 | − | 10505.3i | −0.454379 | − | 0.541507i | ||||
\(723\) | −43090.3 | − | 7597.99i | −2.21652 | − | 0.390833i | ||||
\(724\) | −11160.9 | + | 4062.24i | −0.572917 | + | 0.208525i | ||||
\(725\) | 6679.17 | + | 18350.9i | 0.342149 | + | 0.940047i | ||||
\(726\) | 37899.8 | − | 21881.4i | 1.93745 | − | 1.11859i | ||||
\(727\) | −2996.93 | + | 528.440i | −0.152889 | + | 0.0269584i | −0.249569 | − | 0.968357i | \(-0.580289\pi\) |
0.0966799 | + | 0.995316i | \(0.469178\pi\) | |||||||
\(728\) | 5812.66 | + | 4877.40i | 0.295922 | + | 0.248308i | ||||
\(729\) | 10161.4 | − | 17600.0i | 0.516251 | − | 0.894174i | ||||
\(730\) | 14845.7 | + | 25713.6i | 0.752692 | + | 1.30370i | ||||
\(731\) | 1564.99 | − | 8875.50i | 0.0791837 | − | 0.449073i | ||||
\(732\) | 10653.1 | + | 6150.59i | 0.537912 | + | 0.310563i | ||||
\(733\) | −1265.22 | − | 460.503i | −0.0637544 | − | 0.0232047i | 0.309946 | − | 0.950754i | \(-0.399689\pi\) |
−0.373701 | + | 0.927549i | \(0.621911\pi\) | |||||||
\(734\) | 26554.8i | 1.33536i | ||||||||
\(735\) | −25993.4 | + | 71416.2i | −1.30446 | + | 3.58398i | ||||
\(736\) | −71.0500 | − | 402.945i | −0.00355834 | − | 0.0201803i | ||||
\(737\) | −8174.10 | + | 6858.89i | −0.408544 | + | 0.342809i | ||||
\(738\) | −23614.5 | + | 28142.6i | −1.17786 | + | 1.40372i | ||||
\(739\) | −5384.77 | −0.268041 | −0.134020 | − | 0.990979i | \(-0.542789\pi\) | ||||
−0.134020 | + | 0.990979i | \(0.542789\pi\) | |||||||
\(740\) | −6550.77 | − | 12898.8i | −0.325420 | − | 0.640770i | ||||
\(741\) | 421.289 | 0.0208859 | ||||||||
\(742\) | −3629.68 | + | 4325.68i | −0.179582 | + | 0.214017i | ||||
\(743\) | 12181.7 | − | 10221.7i | 0.601485 | − | 0.504706i | −0.290438 | − | 0.956894i | \(-0.593801\pi\) |
0.891923 | + | 0.452188i | \(0.149356\pi\) | |||||||
\(744\) | 1514.88 | + | 8591.29i | 0.0746480 | + | 0.423350i | ||||
\(745\) | −12114.1 | + | 33283.3i | −0.595742 | + | 1.63679i | ||||
\(746\) | − | 2517.19i | − | 0.123540i | ||||||
\(747\) | 68977.1 | + | 25105.6i | 3.37850 | + | 1.22967i | ||||
\(748\) | −12200.3 | − | 7043.83i | −0.596372 | − | 0.344315i | ||||
\(749\) | 4965.92 | − | 28163.1i | 0.242257 | − | 1.37391i | ||||
\(750\) | −1189.92 | − | 2061.00i | −0.0579330 | − | 0.100343i | ||||
\(751\) | 11944.4 | − | 20688.3i | 0.580370 | − | 1.00523i | −0.415066 | − | 0.909791i | \(-0.636241\pi\) |
0.995435 | − | 0.0954381i | \(-0.0304252\pi\) | |||||||
\(752\) | −5275.24 | − | 4426.45i | −0.255809 | − | 0.214649i | ||||
\(753\) | 2625.52 | − | 462.950i | 0.127064 | − | 0.0224048i | ||||
\(754\) | 8165.80 | − | 4714.53i | 0.394404 | − | 0.227710i | ||||
\(755\) | −1560.45 | − | 4287.29i | −0.0752191 | − | 0.206663i | ||||
\(756\) | 26587.3 | − | 9676.98i | 1.27906 | − | 0.465540i | ||||
\(757\) | −15843.4 | − | 2793.63i | −0.760687 | − | 0.134130i | −0.220168 | − | 0.975462i | \(-0.570661\pi\) |
−0.540518 | + | 0.841332i | \(0.681772\pi\) | |||||||
\(758\) | −9600.69 | − | 11441.7i | −0.460043 | − | 0.548258i | ||||
\(759\) | −4531.47 | − | 5400.40i | −0.216709 | − | 0.258264i | ||||
\(760\) | −184.578 | − | 32.5461i | −0.00880967 | − | 0.00155338i | ||||
\(761\) | −7928.37 | + | 2885.69i | −0.377665 | + | 0.137459i | −0.523876 | − | 0.851795i | \(-0.675514\pi\) |
0.146211 | + | 0.989253i | \(0.453292\pi\) | |||||||
\(762\) | 9214.49 | + | 25316.6i | 0.438065 | + | 1.20357i | ||||
\(763\) | −11195.2 | + | 6463.58i | −0.531186 | + | 0.306681i | ||||
\(764\) | 10627.2 | − | 1873.86i | 0.503245 | − | 0.0887356i | ||||
\(765\) | −37937.0 | − | 31833.0i | −1.79296 | − | 1.50447i | ||||
\(766\) | 3569.44 | − | 6182.45i | 0.168367 | − | 0.291620i | ||||
\(767\) | −3593.22 | − | 6223.64i | −0.169157 | − | 0.292989i | ||||
\(768\) | −399.352 | + | 2264.84i | −0.0187635 | + | 0.106413i | ||||
\(769\) | −33341.0 | − | 19249.4i | −1.56347 | − | 0.902669i | −0.996902 | − | 0.0786530i | \(-0.974938\pi\) |
−0.566566 | − | 0.824016i | \(-0.691729\pi\) | |||||||
\(770\) | −54655.4 | − | 19892.9i | −2.55798 | − | 0.931028i | ||||
\(771\) | 46396.1i | 2.16721i | ||||||||
\(772\) | −2457.84 | + | 6752.86i | −0.114585 | + | 0.314820i | ||||
\(773\) | −5389.40 | − | 30564.8i | −0.250768 | − | 1.42217i | −0.806707 | − | 0.590951i | \(-0.798753\pi\) |
0.555940 | − | 0.831223i | \(-0.312359\pi\) | |||||||
\(774\) | −12922.0 | + | 10842.8i | −0.600092 | + | 0.503537i | ||||
\(775\) | 10396.4 | − | 12389.9i | 0.481870 | − | 0.574270i | ||||
\(776\) | 5701.39 | 0.263747 | ||||||||
\(777\) | −49955.8 | − | 32535.8i | −2.30650 | − | 1.50221i | ||||
\(778\) | −22790.6 | −1.05023 | ||||||||
\(779\) | 320.533 | − | 381.997i | 0.0147424 | − | 0.0175693i | ||||
\(780\) | −14229.3 | + | 11939.8i | −0.653193 | + | 0.548094i | ||||
\(781\) | 4898.15 | + | 27778.8i | 0.224417 | + | 1.27273i | ||||
\(782\) | −501.905 | + | 1378.97i | −0.0229515 | + | 0.0630588i | ||||
\(783\) | − | 35158.9i | − | 1.60470i | ||||||
\(784\) | −7915.12 | − | 2880.87i | −0.360565 | − | 0.131235i | ||||
\(785\) | −26071.6 | − | 15052.5i | −1.18540 | − | 0.684389i | ||||
\(786\) | −5712.60 | + | 32397.7i | −0.259239 | + | 1.47022i | ||||
\(787\) | 12931.6 | + | 22398.2i | 0.585720 | + | 1.01450i | 0.994785 | + | 0.101992i | \(0.0325216\pi\) |
−0.409065 | + | 0.912505i | \(0.634145\pi\) | |||||||
\(788\) | 4808.99 | − | 8329.41i | 0.217402 | − | 0.376552i | ||||
\(789\) | 12275.7 | + | 10300.5i | 0.553897 | + | 0.464775i | ||||
\(790\) | 17507.9 | − | 3087.11i | 0.788483 | − | 0.139031i | ||||
\(791\) | 26563.6 | − | 15336.5i | 1.19405 | − | 0.689384i | ||||
\(792\) | 9018.29 | + | 24777.5i | 0.404610 | + | 1.11166i | ||||
\(793\) | −10347.6 | + | 3766.20i | −0.463370 | + | 0.168653i | ||||
\(794\) | 783.643 | + | 138.177i | 0.0350257 | + | 0.00617598i | ||||
\(795\) | −8885.39 | − | 10589.2i | −0.396393 | − | 0.472403i | ||||
\(796\) | 8235.73 | + | 9814.96i | 0.366718 | + | 0.437038i | ||||
\(797\) | 20295.1 | + | 3578.57i | 0.901992 | + | 0.159046i | 0.605365 | − | 0.795948i | \(-0.293027\pi\) |
0.296627 | + | 0.954993i | \(0.404138\pi\) | |||||||
\(798\) | −725.782 | + | 264.163i | −0.0321960 | + | 0.0117184i | ||||
\(799\) | 8447.26 | + | 23208.7i | 0.374021 | + | 1.02761i | ||||
\(800\) | 3692.52 | − | 2131.88i | 0.163188 | − | 0.0942167i | ||||
\(801\) | 87313.3 | − | 15395.7i | 3.85151 | − | 0.679126i | ||||
\(802\) | −7113.85 | − | 5969.23i | −0.313216 | − | 0.262819i | ||||
\(803\) | −28349.2 | + | 49102.2i | −1.24585 | + | 2.15788i | ||||
\(804\) | −3123.77 | − | 5410.52i | −0.137023 | − | 0.237331i | ||||
\(805\) | −1052.08 | + | 5966.64i | −0.0460633 | + | 0.261238i | ||||
\(806\) | −6763.05 | − | 3904.65i | −0.295556 | − | 0.170639i | ||||
\(807\) | 38412.4 | + | 13981.0i | 1.67557 | + | 0.609856i | ||||
\(808\) | 3606.31i | 0.157017i | ||||||||
\(809\) | 6052.41 | − | 16628.9i | 0.263030 | − | 0.722669i | −0.735929 | − | 0.677058i | \(-0.763254\pi\) |
0.998959 | − | 0.0456107i | \(-0.0145234\pi\) | |||||||
\(810\) | 3934.86 | + | 22315.7i | 0.170687 | + | 0.968017i | ||||
\(811\) | −3492.91 | + | 2930.90i | −0.151236 | + | 0.126902i | −0.715266 | − | 0.698852i | \(-0.753695\pi\) |
0.564030 | + | 0.825754i | \(0.309250\pi\) | |||||||
\(812\) | −11111.6 | + | 13242.3i | −0.480222 | + | 0.572307i | ||||
\(813\) | 21513.7 | 0.928067 | ||||||||
\(814\) | 15076.8 | − | 23149.0i | 0.649190 | − | 0.996772i | ||||
\(815\) | 2704.72 | 0.116248 | ||||||||
\(816\) | 5301.87 | − | 6318.52i | 0.227454 | − | 0.271069i | ||||
\(817\) | 175.398 | − | 147.176i | 0.00751088 | − | 0.00630238i | ||||
\(818\) | −919.901 | − | 5217.02i | −0.0393198 | − | 0.222994i | ||||
\(819\) | −17421.4 | + | 47864.8i | −0.743287 | + | 2.04216i | ||||
\(820\) | 21986.5i | 0.936342i | ||||||||
\(821\) | 9827.76 | + | 3577.01i | 0.417773 | + | 0.152057i | 0.542349 | − | 0.840153i | \(-0.317535\pi\) |
−0.124577 | + | 0.992210i | \(0.539757\pi\) | |||||||
\(822\) | 3372.81 | + | 1947.29i | 0.143114 | + | 0.0826272i | ||||
\(823\) | −1388.43 | + | 7874.16i | −0.0588062 | + | 0.333507i | −0.999990 | − | 0.00438744i | \(-0.998603\pi\) |
0.941184 | + | 0.337894i | \(0.109715\pi\) | |||||||
\(824\) | −2797.95 | − | 4846.20i | −0.118290 | − | 0.204885i | ||||
\(825\) | 36731.7 | − | 63621.1i | 1.55010 | − | 2.68485i | ||||
\(826\) | 10092.7 | + | 8468.80i | 0.425146 | + | 0.356740i | ||||
\(827\) | 15825.8 | − | 2790.52i | 0.665439 | − | 0.117335i | 0.169282 | − | 0.985568i | \(-0.445855\pi\) |
0.496157 | + | 0.868233i | \(0.334744\pi\) | |||||||
\(828\) | 2378.67 | − | 1373.33i | 0.0998363 | − | 0.0576405i | ||||
\(829\) | −5872.11 | − | 16133.5i | −0.246016 | − | 0.675922i | −0.999823 | − | 0.0188265i | \(-0.994007\pi\) |
0.753807 | − | 0.657096i | \(-0.228215\pi\) | |||||||
\(830\) | 41280.9 | − | 15025.0i | 1.72636 | − | 0.628345i | ||||
\(831\) | −60491.1 | − | 10666.2i | −2.52517 | − | 0.445255i | ||||
\(832\) | −1323.30 | − | 1577.04i | −0.0551407 | − | 0.0657142i | ||||
\(833\) | 19418.5 | + | 23142.0i | 0.807696 | + | 0.962574i | ||||
\(834\) | 496.636 | + | 87.5703i | 0.0206200 | + | 0.00363586i | ||||
\(835\) | 33407.7 | − | 12159.4i | 1.38458 | − | 0.503944i | ||||
\(836\) | −122.411 | − | 336.320i | −0.00506418 | − | 0.0139137i | ||||
\(837\) | −25218.0 | + | 14559.6i | −1.04141 | + | 0.601258i | ||||
\(838\) | −30563.3 | + | 5389.14i | −1.25990 | + | 0.222154i | ||||
\(839\) | −22104.2 | − | 18547.6i | −0.909560 | − | 0.763211i | 0.0624756 | − | 0.998046i | \(-0.480100\pi\) |
−0.972035 | + | 0.234835i | \(0.924545\pi\) | |||||||
\(840\) | 17027.1 | − | 29491.7i | 0.699392 | − | 1.21138i | ||||
\(841\) | −1453.96 | − | 2518.33i | −0.0596152 | − | 0.103257i | ||||
\(842\) | −3597.23 | + | 20400.9i | −0.147231 | + | 0.834989i | ||||
\(843\) | −42202.8 | − | 24365.8i | −1.72425 | − | 0.995495i | ||||
\(844\) | 11632.3 | + | 4233.80i | 0.474407 | + | 0.172670i | ||||
\(845\) | 18677.9i | 0.760400i | ||||||||
\(846\) | 15810.6 | − | 43439.4i | 0.642531 | − | 1.76534i | ||||
\(847\) | −12471.6 | − | 70729.9i | −0.505937 | − | 2.86931i | ||||
\(848\) | 1173.61 | − | 984.776i | 0.0475259 | − | 0.0398789i | ||||
\(849\) | −8412.75 | + | 10025.9i | −0.340076 | + | 0.405287i | ||||
\(850\) | −15292.2 | −0.617079 | ||||||||
\(851\) | −2647.45 | − | 1127.92i | −0.106643 | − | 0.0454342i | ||||
\(852\) | −16515.2 | −0.664087 | ||||||||
\(853\) | −9219.49 | + | 10987.4i | −0.370069 | + | 0.441031i | −0.918654 | − | 0.395064i | \(-0.870723\pi\) |
0.548584 | + | 0.836095i | \(0.315167\pi\) | |||||||
\(854\) | 15464.9 | − | 12976.6i | 0.619669 | − | 0.519964i | ||||
\(855\) | −218.478 | − | 1239.05i | −0.00873895 | − | 0.0495610i | ||||
\(856\) | −2653.69 | + | 7290.95i | −0.105959 | + | 0.291121i | ||||
\(857\) | 36965.7i | 1.47342i | 0.676206 | + | 0.736712i | \(0.263623\pi\) | ||||
−0.676206 | + | 0.736712i | \(0.736377\pi\) | |||||||
\(858\) | −33331.4 | − | 12131.6i | −1.32624 | − | 0.482713i | ||||
\(859\) | −37883.8 | − | 21872.2i | −1.50475 | − | 0.868768i | −0.999985 | − | 0.00551091i | \(-0.998246\pi\) |
−0.504765 | − | 0.863257i | \(-0.668421\pi\) | |||||||
\(860\) | −1753.03 | + | 9941.93i | −0.0695091 | + | 0.394206i | ||||
\(861\) | 45302.0 | + | 78465.3i | 1.79313 | + | 3.10580i | ||||
\(862\) | 11560.7 | − | 20023.8i | 0.456798 | − | 0.791198i | ||||
\(863\) | −14080.0 | − | 11814.5i | −0.555375 | − | 0.466015i | 0.321381 | − | 0.946950i | \(-0.395853\pi\) |
−0.876756 | + | 0.480935i | \(0.840297\pi\) | |||||||
\(864\) | −7559.78 | + | 1332.99i | −0.297672 | + | 0.0524876i | ||||
\(865\) | −20898.6 | + | 12065.8i | −0.821474 | + | 0.474278i | ||||
\(866\) | −2107.72 | − | 5790.92i | −0.0827059 | − | 0.227233i | ||||
\(867\) | 13675.6 | − | 4977.50i | 0.535694 | − | 0.194977i | ||||
\(868\) | 14099.5 | + | 2486.12i | 0.551346 | + | 0.0972172i | ||||
\(869\) | 21821.7 | + | 26006.1i | 0.851841 | + | 1.01518i | ||||
\(870\) | −27201.0 | − | 32416.9i | −1.06000 | − | 1.26326i | ||||
\(871\) | 5507.63 | + | 971.145i | 0.214258 | + | 0.0377795i | ||||
\(872\) | 3295.78 | − | 1199.57i | 0.127992 | − | 0.0465853i | ||||
\(873\) | 13090.1 | + | 35964.7i | 0.507482 | + | 1.39430i | ||||
\(874\) | −32.2871 | + | 18.6410i | −0.00124957 | + | 0.000721442i | ||||
\(875\) | −3846.31 | + | 678.209i | −0.148605 | + | 0.0262030i | ||||
\(876\) | −25430.0 | − | 21338.3i | −0.980823 | − | 0.823008i | ||||
\(877\) | 8167.24 | − | 14146.1i | 0.314468 | − | 0.544674i | −0.664857 | − | 0.746971i | \(-0.731507\pi\) |
0.979324 | + | 0.202297i | \(0.0648407\pi\) | |||||||
\(878\) | −14521.2 | − | 25151.5i | −0.558164 | − | 0.966769i | ||||
\(879\) | 7532.83 | − | 42720.8i | 0.289051 | − | 1.63929i | ||||
\(880\) | 13666.2 | + | 7890.17i | 0.523508 | + | 0.302247i | ||||
\(881\) | 7499.44 | + | 2729.57i | 0.286791 | + | 0.104383i | 0.481410 | − | 0.876496i | \(-0.340125\pi\) |
−0.194619 | + | 0.980879i | \(0.562347\pi\) | |||||||
\(882\) | − | 56543.3i | − | 2.15863i | ||||||
\(883\) | 3891.18 | − | 10690.9i | 0.148300 | − | 0.407450i | −0.843193 | − | 0.537610i | \(-0.819327\pi\) |
0.991493 | + | 0.130161i | \(0.0415494\pi\) | |||||||
\(884\) | 1282.14 | + | 7271.39i | 0.0487818 | + | 0.276655i | ||||
\(885\) | −24706.8 | + | 20731.5i | −0.938430 | + | 0.787436i | ||||
\(886\) | −5396.90 | + | 6431.78i | −0.204642 | + | 0.243882i | ||||
\(887\) | −44171.6 | −1.67208 | −0.836041 | − | 0.548667i | \(-0.815135\pi\) | ||||
−0.836041 | + | 0.548667i | \(0.815135\pi\) | |||||||
\(888\) | 11814.8 | + | 11046.8i | 0.446487 | + | 0.417463i | ||||
\(889\) | 44214.5 | 1.66806 | ||||||||
\(890\) | 34106.8 | − | 40646.8i | 1.28456 | − | 1.53088i | ||||
\(891\) | −33147.6 | + | 27814.1i | −1.24634 | + | 1.04580i | ||||
\(892\) | −639.636 | − | 3627.55i | −0.0240096 | − | 0.136165i | ||||
\(893\) | −214.607 | + | 589.628i | −0.00804206 | + | 0.0220954i | ||||
\(894\) | − | 39600.7i | − | 1.48148i | ||||||
\(895\) | −23156.1 | − | 8428.14i | −0.864832 | − | 0.314773i | ||||
\(896\) | 3268.60 | + | 1887.12i | 0.121871 | + | 0.0703621i | ||||
\(897\) | −641.607 | + | 3638.74i | −0.0238826 | + | 0.135445i | ||||
\(898\) | −3079.40 | − | 5333.67i | −0.114433 | − | 0.198204i | ||||
\(899\) | 8895.49 | − | 15407.4i | 0.330013 | − | 0.571599i | ||||
\(900\) | 21925.8 | + | 18398.0i | 0.812068 | + | 0.681406i | ||||
\(901\) | −5411.25 | + | 954.149i | −0.200083 | + | 0.0352800i | ||||
\(902\) | −36360.1 | + | 20992.5i | −1.34219 | + | 0.774915i | ||||
\(903\) | 14228.6 | + | 39092.8i | 0.524362 | + | 1.44067i | ||||
\(904\) | −7820.08 | + | 2846.28i | −0.287712 | + | 0.104719i | ||||
\(905\) | −46991.4 | − | 8285.86i | −1.72602 | − | 0.304344i | ||||
\(906\) | 3278.88 | + | 3907.62i | 0.120236 | + | 0.143291i | ||||
\(907\) | 22751.4 | + | 27114.1i | 0.832909 | + | 0.992623i | 0.999978 | + | 0.00667734i | \(0.00212548\pi\) |
−0.167068 | + | 0.985945i | \(0.553430\pi\) | |||||||
\(908\) | −6708.96 | − | 1182.97i | −0.245204 | − | 0.0432360i | ||||
\(909\) | −22748.8 | + | 8279.88i | −0.830066 | + | 0.302119i | ||||
\(910\) | 10426.2 | + | 28645.8i | 0.379808 | + | 1.04351i | ||||
\(911\) | 27438.5 | − | 15841.6i | 0.997890 | − | 0.576132i | 0.0902668 | − | 0.995918i | \(-0.471228\pi\) |
0.907623 | + | 0.419785i | \(0.137895\pi\) | |||||||
\(912\) | 206.367 | − | 36.3881i | 0.00749288 | − | 0.00132120i | ||||
\(913\) | 64262.3 | + | 53922.5i | 2.32943 | + | 1.95463i | ||||
\(914\) | −4712.93 | + | 8163.03i | −0.170558 | + | 0.295415i | ||||
\(915\) | 24709.9 | + | 42798.8i | 0.892769 | + | 1.54632i | ||||
\(916\) | 3538.38 | − | 20067.2i | 0.127633 | − | 0.723841i | ||||
\(917\) | 46756.2 | + | 26994.7i | 1.68378 | + | 0.972131i | ||||
\(918\) | 25871.4 | + | 9416.41i | 0.930155 | + | 0.338549i | ||||
\(919\) | 28776.8i | 1.03293i | 0.856309 | + | 0.516464i | \(0.172752\pi\) | ||||
−0.856309 | + | 0.516464i | \(0.827248\pi\) | |||||||
\(920\) | 562.211 | − | 1544.66i | 0.0201473 | − | 0.0553543i | ||||
\(921\) | −12397.0 | − | 70306.9i | −0.443534 | − | 2.51541i | ||||
\(922\) | 4006.83 | − | 3362.13i | 0.143122 | − | 0.120093i | ||||
\(923\) | 9502.91 | − | 11325.1i | 0.338886 | − | 0.403869i | ||||
\(924\) | 65029.2 | 2.31526 | ||||||||
\(925\) | 1609.11 | − | 29944.6i | 0.0571971 | − | 1.06440i | ||||
\(926\) | 12786.4 | 0.453767 | ||||||||
\(927\) | 24146.1 | − | 28776.2i | 0.855516 | − | 1.01956i | ||||
\(928\) | 3592.79 | − | 3014.71i | 0.127090 | − | 0.106641i | ||||
\(929\) | −6435.50 | − | 36497.5i | −0.227279 | − | 1.28896i | −0.858281 | − | 0.513181i | \(-0.828467\pi\) |
0.631002 | − | 0.775781i | \(-0.282644\pi\) | |||||||
\(930\) | −11987.1 | + | 32934.2i | −0.422657 | + | 1.16124i | ||||
\(931\) | 767.496i | 0.0270179i | ||||||||
\(932\) | −11471.2 | − | 4175.19i | −0.403168 | − | 0.146741i | ||||
\(933\) | −28896.0 | − | 16683.1i | −1.01395 | − | 0.585402i | ||||
\(934\) | −3292.08 | + | 18670.3i | −0.115332 | + | 0.654080i | ||||
\(935\) | −28298.5 | − | 49014.4i | −0.989795 | − | 1.71438i | ||||
\(936\) | 6909.87 | − | 11968.2i | 0.241299 | − | 0.417943i | ||||
\(937\) | −35787.4 | − | 30029.2i | −1.24773 | − | 1.04697i | −0.996879 | − | 0.0789441i | \(-0.974845\pi\) |
−0.250851 | − | 0.968026i | \(-0.580710\pi\) | |||||||
\(938\) | −10097.3 | + | 1780.43i | −0.351481 | + | 0.0619755i | ||||
\(939\) | −36314.4 | + | 20966.1i | −1.26206 | + | 0.728652i | ||||
\(940\) | −9462.23 | − | 25997.3i | −0.328323 | − | 0.902061i | ||||
\(941\) | 27498.4 | − | 10008.6i | 0.952627 | − | 0.346728i | 0.181487 | − | 0.983393i | \(-0.441909\pi\) |
0.771140 | + | 0.636665i | \(0.219687\pi\) | |||||||
\(942\) | 33147.5 | + | 5844.79i | 1.14650 | + | 0.202159i | ||||
\(943\) | 2811.21 | + | 3350.26i | 0.0970790 | + | 0.115694i | ||||
\(944\) | −2297.69 | − | 2738.28i | −0.0792197 | − | 0.0944104i | ||||
\(945\) | 111942. | + | 19738.4i | 3.85341 | + | 0.679461i | ||||
\(946\) | −18115.2 | + | 6593.41i | −0.622597 | + | 0.226607i | ||||
\(947\) | −3159.30 | − | 8680.11i | −0.108409 | − | 0.297852i | 0.873612 | − | 0.486624i | \(-0.161772\pi\) |
−0.982021 | + | 0.188772i | \(0.939549\pi\) | |||||||
\(948\) | −17213.7 | + | 9938.32i | −0.589741 | + | 0.340487i | ||||
\(949\) | 29265.1 | − | 5160.22i | 1.00104 | − | 0.176510i | ||||
\(950\) | −297.613 | − | 249.727i | −0.0101640 | − | 0.00852863i | ||||
\(951\) | −5748.14 | + | 9956.07i | −0.196000 | + | 0.339482i | ||||
\(952\) | −6768.26 | − | 11723.0i | −0.230421 | − | 0.399100i | ||||
\(953\) | −6424.03 | + | 36432.5i | −0.218357 | + | 1.23837i | 0.656627 | + | 0.754215i | \(0.271983\pi\) |
−0.874984 | + | 0.484151i | \(0.839129\pi\) | |||||||
\(954\) | 8906.56 | + | 5142.21i | 0.302265 | + | 0.174513i | ||||
\(955\) | 40738.7 | + | 14827.7i | 1.38039 | + | 0.502421i | ||||
\(956\) | 18676.0i | 0.631824i | ||||||||
\(957\) | 27638.1 | − | 75935.0i | 0.933555 | − | 2.56492i | ||||
\(958\) | −5684.37 | − | 32237.7i | −0.191705 | − | 1.08721i | ||||
\(959\) | 4896.21 | − | 4108.41i | 0.164866 | − | 0.138339i | ||||
\(960\) | −5938.91 | + | 7077.71i | −0.199664 | + | 0.237950i | ||||
\(961\) | 15056.2 | 0.505395 | ||||||||
\(962\) | −14373.5 | + | 1745.52i | −0.481727 | + | 0.0585010i | ||||
\(963\) | −52084.5 | −1.74289 | ||||||||
\(964\) | 12523.1 | − | 14924.4i | 0.418403 | − | 0.498634i | ||||
\(965\) | −22116.2 | + | 18557.7i | −0.737766 | + | 0.619059i | ||||
\(966\) | −1176.28 | − | 6671.00i | −0.0391782 | − | 0.222190i | ||||
\(967\) | −10931.3 | + | 30033.5i | −0.363523 | + | 0.998772i | 0.614251 | + | 0.789111i | \(0.289458\pi\) |
−0.977774 | + | 0.209661i | \(0.932764\pi\) | |||||||
\(968\) | 19485.9i | 0.647005i | ||||||||
\(969\) | −706.239 | − | 257.050i | −0.0234135 | − | 0.00852181i | ||||
\(970\) | 19836.5 | + | 11452.6i | 0.656610 | + | 0.379094i | ||||
\(971\) | 6030.31 | − | 34199.6i | 0.199302 | − | 1.13030i | −0.706857 | − | 0.707357i | \(-0.749887\pi\) |
0.906158 | − | 0.422939i | \(-0.139001\pi\) | |||||||
\(972\) | 286.440 | + | 496.128i | 0.00945221 | + | 0.0163717i | ||||
\(973\) | 413.811 | − | 716.741i | 0.0136343 | − | 0.0236153i | ||||
\(974\) | 5709.28 | + | 4790.66i | 0.187821 | + | 0.157600i | ||||
\(975\) | −37918.4 | + | 6686.03i | −1.24550 | + | 0.219615i | ||||
\(976\) | −4743.43 | + | 2738.62i | −0.155567 | + | 0.0898167i | ||||
\(977\) | 444.760 | + | 1221.97i | 0.0145641 | + | 0.0400145i | 0.946762 | − | 0.321935i | \(-0.104333\pi\) |
−0.932198 | + | 0.361950i | \(0.882111\pi\) | |||||||
\(978\) | −2841.65 | + | 1034.28i | −0.0929099 | + | 0.0338164i | ||||
\(979\) | 99784.5 | + | 17594.7i | 3.25754 | + | 0.574391i | ||||
\(980\) | −21751.7 | − | 25922.7i | −0.709013 | − | 0.844968i | ||||
\(981\) | 15133.9 | + | 18035.8i | 0.492545 | + | 0.586992i | ||||
\(982\) | −27991.9 | − | 4935.73i | −0.909631 | − | 0.160393i | ||||
\(983\) | −3930.60 | + | 1430.62i | −0.127535 | + | 0.0464188i | −0.404999 | − | 0.914317i | \(-0.632728\pi\) |
0.277464 | + | 0.960736i | \(0.410506\pi\) | |||||||
\(984\) | −8407.53 | − | 23099.5i | −0.272380 | − | 0.748359i | ||||
\(985\) | 33463.3 | − | 19320.0i | 1.08246 | − | 0.624961i | ||||
\(986\) | −16565.5 | + | 2920.95i | −0.535045 | + | 0.0943429i | ||||
\(987\) | −87334.9 | − | 73282.7i | −2.81652 | − | 2.36334i | ||||
\(988\) | −93.7917 | + | 162.452i | −0.00302015 | + | 0.00523106i | ||||
\(989\) | 1004.06 | + | 1739.08i | 0.0322823 | + | 0.0559146i | ||||
\(990\) | −18394.9 | + | 104322.i | −0.590532 | + | 3.34908i | ||||
\(991\) | 16679.5 | + | 9629.92i | 0.534654 | + | 0.308683i | 0.742910 | − | 0.669392i | \(-0.233445\pi\) |
−0.208256 | + | 0.978074i | \(0.566779\pi\) | |||||||
\(992\) | −3650.12 | − | 1328.54i | −0.116826 | − | 0.0425213i | ||||
\(993\) | − | 69273.1i | − | 2.21381i | ||||||
\(994\) | −9270.04 | + | 25469.2i | −0.295803 | + | 0.812711i | ||||
\(995\) | 8938.38 | + | 50692.1i | 0.284790 | + | 1.61512i | ||||
\(996\) | −37625.2 | + | 31571.3i | −1.19699 | + | 1.00439i | ||||
\(997\) | −16213.4 | + | 19322.4i | −0.515030 | + | 0.613789i | −0.959398 | − | 0.282055i | \(-0.908984\pi\) |
0.444368 | + | 0.895844i | \(0.353428\pi\) | |||||||
\(998\) | 30376.4 | 0.963475 | ||||||||
\(999\) | −21161.2 | + | 49669.7i | −0.670182 | + | 1.57305i |
(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 | 74.4.h.a.3.6 | ✓ | 60 | |
37.25 | even | 18 | inner | 74.4.h.a.25.6 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.h.a.3.6 | ✓ | 60 | 1.1 | even | 1 | trivial | |
74.4.h.a.25.6 | yes | 60 | 37.25 | even | 18 | inner |