Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Character | \(\chi\) | \(=\) | 150.31 |
Dual form | 150.6.g.b.121.3 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23607 | + | 3.80423i | 0.218508 | + | 0.672499i | ||||
\(3\) | −7.28115 | + | 5.29007i | −0.467086 | + | 0.339358i | ||||
\(4\) | −12.9443 | + | 9.40456i | −0.404508 | + | 0.293893i | ||||
\(5\) | −10.1537 | + | 54.9718i | −0.181635 | + | 0.983366i | ||||
\(6\) | −29.1246 | − | 21.1603i | −0.330280 | − | 0.239962i | ||||
\(7\) | 197.545 | 1.52378 | 0.761889 | − | 0.647708i | \(-0.224272\pi\) | ||||
0.761889 | + | 0.647708i | \(0.224272\pi\) | |||||||
\(8\) | −51.7771 | − | 37.6183i | −0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | −221.676 | + | 29.3220i | −0.701001 | + | 0.0927244i | ||||
\(11\) | 161.561 | + | 497.233i | 0.402582 | + | 1.23902i | 0.922898 | + | 0.385045i | \(0.125814\pi\) |
−0.520316 | + | 0.853974i | \(0.674186\pi\) | |||||||
\(12\) | 44.4984 | − | 136.952i | 0.0892055 | − | 0.274546i | ||||
\(13\) | −218.957 | + | 673.882i | −0.359337 | + | 1.10592i | 0.594116 | + | 0.804380i | \(0.297502\pi\) |
−0.953452 | + | 0.301545i | \(0.902498\pi\) | |||||||
\(14\) | 244.179 | + | 751.507i | 0.332958 | + | 1.02474i | ||||
\(15\) | −216.874 | − | 453.972i | −0.248874 | − | 0.520956i | ||||
\(16\) | 79.1084 | − | 243.470i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 1592.40 | + | 1156.95i | 1.33638 | + | 0.970936i | 0.999569 | + | 0.0293631i | \(0.00934790\pi\) |
0.336810 | + | 0.941573i | \(0.390652\pi\) | |||||||
\(18\) | 324.000 | 0.235702 | ||||||||
\(19\) | 444.204 | + | 322.733i | 0.282292 | + | 0.205097i | 0.719916 | − | 0.694061i | \(-0.244180\pi\) |
−0.437625 | + | 0.899158i | \(0.644180\pi\) | |||||||
\(20\) | −385.554 | − | 807.061i | −0.215531 | − | 0.451161i | ||||
\(21\) | −1438.36 | + | 1045.03i | −0.711736 | + | 0.517106i | ||||
\(22\) | −1691.89 | + | 1229.23i | −0.745271 | + | 0.541471i | ||||
\(23\) | −1254.43 | − | 3860.75i | −0.494456 | − | 1.52178i | −0.817802 | − | 0.575499i | \(-0.804808\pi\) |
0.323346 | − | 0.946281i | \(-0.395192\pi\) | |||||||
\(24\) | 576.000 | 0.204124 | ||||||||
\(25\) | −2918.81 | − | 1116.33i | −0.934018 | − | 0.357227i | ||||
\(26\) | −2834.25 | −0.822250 | ||||||||
\(27\) | 225.273 | + | 693.320i | 0.0594703 | + | 0.183031i | ||||
\(28\) | −2557.08 | + | 1857.83i | −0.616381 | + | 0.447827i | ||||
\(29\) | −428.905 | + | 311.617i | −0.0947034 | + | 0.0688061i | −0.634129 | − | 0.773227i | \(-0.718641\pi\) |
0.539426 | + | 0.842033i | \(0.318641\pi\) | |||||||
\(30\) | 1458.94 | − | 1386.18i | 0.295961 | − | 0.281201i | ||||
\(31\) | −4479.93 | − | 3254.86i | −0.837272 | − | 0.608314i | 0.0843351 | − | 0.996437i | \(-0.473123\pi\) |
−0.921607 | + | 0.388124i | \(0.873123\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | −3806.74 | − | 2765.76i | −0.608511 | − | 0.442109i | ||||
\(34\) | −2432.97 | + | 7487.91i | −0.360943 | + | 1.11087i | ||||
\(35\) | −2005.81 | + | 10859.4i | −0.276771 | + | 1.49843i | ||||
\(36\) | 400.486 | + | 1232.57i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 2165.71 | − | 6665.38i | 0.260074 | − | 0.800425i | −0.732714 | − | 0.680537i | \(-0.761746\pi\) |
0.992787 | − | 0.119888i | \(-0.0382535\pi\) | |||||||
\(38\) | −678.683 | + | 2088.77i | −0.0762444 | + | 0.234656i | ||||
\(39\) | −1970.62 | − | 6064.94i | −0.207463 | − | 0.638506i | ||||
\(40\) | 2593.67 | − | 2464.32i | 0.256310 | − | 0.243527i | ||||
\(41\) | −5191.98 | + | 15979.3i | −0.482362 | + | 1.48456i | 0.353403 | + | 0.935471i | \(0.385024\pi\) |
−0.835765 | + | 0.549087i | \(0.814976\pi\) | |||||||
\(42\) | −5753.43 | − | 4180.11i | −0.503273 | − | 0.365649i | ||||
\(43\) | −14395.4 | −1.18728 | −0.593639 | − | 0.804731i | \(-0.702309\pi\) | ||||
−0.593639 | + | 0.804731i | \(0.702309\pi\) | |||||||
\(44\) | −6767.54 | − | 4916.91i | −0.526986 | − | 0.382878i | ||||
\(45\) | 3980.64 | + | 2158.16i | 0.293036 | + | 0.158874i | ||||
\(46\) | 13136.6 | − | 9544.29i | 0.915352 | − | 0.665042i | ||||
\(47\) | 5415.84 | − | 3934.83i | 0.357619 | − | 0.259826i | −0.394439 | − | 0.918922i | \(-0.629061\pi\) |
0.752058 | + | 0.659096i | \(0.229061\pi\) | |||||||
\(48\) | 711.975 | + | 2191.23i | 0.0446028 | + | 0.137273i | ||||
\(49\) | 22217.2 | 1.32190 | ||||||||
\(50\) | 638.941 | − | 12483.7i | 0.0361440 | − | 0.706182i | ||||
\(51\) | −17714.8 | −0.953699 | ||||||||
\(52\) | −3503.32 | − | 10782.1i | −0.179668 | − | 0.552962i | ||||
\(53\) | −4396.47 | + | 3194.22i | −0.214988 | + | 0.156198i | −0.690068 | − | 0.723745i | \(-0.742419\pi\) |
0.475080 | + | 0.879943i | \(0.342419\pi\) | |||||||
\(54\) | −2359.09 | + | 1713.98i | −0.110093 | + | 0.0799874i | ||||
\(55\) | −28974.2 | + | 3832.55i | −1.29153 | + | 0.170837i | ||||
\(56\) | −10228.3 | − | 7431.31i | −0.435847 | − | 0.316662i | ||||
\(57\) | −4941.59 | −0.201456 | ||||||||
\(58\) | −1715.62 | − | 1246.47i | −0.0669654 | − | 0.0486532i | ||||
\(59\) | −10595.5 | + | 32609.5i | −0.396269 | + | 1.21959i | 0.531699 | + | 0.846933i | \(0.321554\pi\) |
−0.927969 | + | 0.372658i | \(0.878446\pi\) | |||||||
\(60\) | 7076.69 | + | 3836.73i | 0.253777 | + | 0.137589i | ||||
\(61\) | −1713.74 | − | 5274.35i | −0.0589686 | − | 0.181487i | 0.917233 | − | 0.398350i | \(-0.130417\pi\) |
−0.976202 | + | 0.216864i | \(0.930417\pi\) | |||||||
\(62\) | 6844.72 | − | 21065.9i | 0.226139 | − | 0.695986i | ||||
\(63\) | 4944.63 | − | 15218.0i | 0.156958 | − | 0.483066i | ||||
\(64\) | 1265.73 | + | 3895.53i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −34821.3 | − | 18878.9i | −1.02226 | − | 0.554233i | ||||
\(66\) | 5816.19 | − | 17900.4i | 0.164353 | − | 0.505828i | ||||
\(67\) | −16317.7 | − | 11855.5i | −0.444091 | − | 0.322651i | 0.343167 | − | 0.939274i | \(-0.388500\pi\) |
−0.787258 | + | 0.616623i | \(0.788500\pi\) | |||||||
\(68\) | −31493.0 | −0.825927 | ||||||||
\(69\) | 29557.3 | + | 21474.7i | 0.747382 | + | 0.543005i | ||||
\(70\) | −43791.0 | + | 5792.43i | −1.06817 | + | 0.141291i | ||||
\(71\) | 62761.5 | − | 45598.9i | 1.47757 | − | 1.07352i | 0.499236 | − | 0.866466i | \(-0.333614\pi\) |
0.978330 | − | 0.207049i | \(-0.0663861\pi\) | |||||||
\(72\) | −4193.94 | + | 3047.08i | −0.0953436 | + | 0.0692712i | ||||
\(73\) | 12030.2 | + | 37025.2i | 0.264220 | + | 0.813186i | 0.991872 | + | 0.127239i | \(0.0406117\pi\) |
−0.727652 | + | 0.685947i | \(0.759388\pi\) | |||||||
\(74\) | 28033.6 | 0.595113 | ||||||||
\(75\) | 27157.7 | − | 7312.49i | 0.557494 | − | 0.150111i | ||||
\(76\) | −8785.05 | −0.174466 | ||||||||
\(77\) | 31915.6 | + | 98226.0i | 0.613445 | + | 1.88799i | ||||
\(78\) | 20636.6 | − | 14993.3i | 0.384062 | − | 0.279037i | ||||
\(79\) | 45766.3 | − | 33251.2i | 0.825046 | − | 0.599431i | −0.0931073 | − | 0.995656i | \(-0.529680\pi\) |
0.918153 | + | 0.396225i | \(0.129680\pi\) | |||||||
\(80\) | 12580.8 | + | 6820.85i | 0.219777 | + | 0.119155i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −67206.4 | −1.10376 | ||||||||
\(83\) | 59276.9 | + | 43067.2i | 0.944474 | + | 0.686201i | 0.949493 | − | 0.313787i | \(-0.101598\pi\) |
−0.00501945 | + | 0.999987i | \(0.501598\pi\) | |||||||
\(84\) | 8790.46 | − | 27054.3i | 0.135929 | − | 0.418348i | ||||
\(85\) | −79768.1 | + | 75789.8i | −1.19752 | + | 1.13779i | ||||
\(86\) | −17793.7 | − | 54763.4i | −0.259430 | − | 0.798443i | ||||
\(87\) | 1474.44 | − | 4537.87i | 0.0208848 | − | 0.0642767i | ||||
\(88\) | 10339.9 | − | 31822.9i | 0.142334 | − | 0.438059i | ||||
\(89\) | −42243.4 | − | 130012.i | −0.565307 | − | 1.73984i | −0.667038 | − | 0.745024i | \(-0.732438\pi\) |
0.101731 | − | 0.994812i | \(-0.467562\pi\) | |||||||
\(90\) | −3289.79 | + | 17810.9i | −0.0428117 | + | 0.231782i | ||||
\(91\) | −43254.0 | + | 133122.i | −0.547549 | + | 1.68518i | ||||
\(92\) | 52546.4 | + | 38177.2i | 0.647252 | + | 0.470256i | ||||
\(93\) | 49837.4 | 0.597514 | ||||||||
\(94\) | 21663.3 | + | 15739.3i | 0.252875 | + | 0.183724i | ||||
\(95\) | −22251.5 | + | 21141.8i | −0.252959 | + | 0.240343i | ||||
\(96\) | −7455.90 | + | 5417.03i | −0.0825700 | + | 0.0599906i | ||||
\(97\) | −81989.2 | + | 59568.7i | −0.884764 | + | 0.642819i | −0.934508 | − | 0.355943i | \(-0.884160\pi\) |
0.0497435 | + | 0.998762i | \(0.484160\pi\) | |||||||
\(98\) | 27461.9 | + | 84519.1i | 0.288846 | + | 0.888975i | ||||
\(99\) | 42348.5 | 0.434261 | ||||||||
\(100\) | 48280.4 | − | 13000.0i | 0.482804 | − | 0.130000i | ||||
\(101\) | 52175.3 | 0.508935 | 0.254467 | − | 0.967081i | \(-0.418100\pi\) | ||||
0.254467 | + | 0.967081i | \(0.418100\pi\) | |||||||
\(102\) | −21896.7 | − | 67391.2i | −0.208391 | − | 0.641361i | ||||
\(103\) | −41715.4 | + | 30308.0i | −0.387439 | + | 0.281491i | −0.764405 | − | 0.644736i | \(-0.776967\pi\) |
0.376966 | + | 0.926227i | \(0.376967\pi\) | |||||||
\(104\) | 36687.2 | − | 26654.8i | 0.332607 | − | 0.241653i | ||||
\(105\) | −42842.5 | − | 89680.1i | −0.379229 | − | 0.793821i | ||||
\(106\) | −17585.9 | − | 12776.9i | −0.152020 | − | 0.110449i | ||||
\(107\) | 68308.0 | 0.576782 | 0.288391 | − | 0.957513i | \(-0.406880\pi\) | ||||
0.288391 | + | 0.957513i | \(0.406880\pi\) | |||||||
\(108\) | −9436.37 | − | 6855.93i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | 18536.8 | − | 57050.4i | 0.149441 | − | 0.459931i | −0.848115 | − | 0.529813i | \(-0.822262\pi\) |
0.997555 | + | 0.0698819i | \(0.0222622\pi\) | |||||||
\(110\) | −50394.0 | − | 105487.i | −0.397097 | − | 0.831224i | ||||
\(111\) | 19491.4 | + | 59988.4i | 0.150154 | + | 0.462126i | ||||
\(112\) | 15627.5 | − | 48096.5i | 0.117718 | − | 0.362300i | ||||
\(113\) | −50787.0 | + | 156306.i | −0.374159 | + | 1.15154i | 0.569885 | + | 0.821724i | \(0.306988\pi\) |
−0.944044 | + | 0.329819i | \(0.893012\pi\) | |||||||
\(114\) | −6108.14 | − | 18798.9i | −0.0440197 | − | 0.135479i | ||||
\(115\) | 224969. | − | 29757.7i | 1.58628 | − | 0.209824i | ||||
\(116\) | 2621.23 | − | 8067.32i | 0.0180867 | − | 0.0556653i | ||||
\(117\) | 46432.3 | + | 33735.0i | 0.313585 | + | 0.227833i | ||||
\(118\) | −137151. | −0.906762 | ||||||||
\(119\) | 314571. | + | 228549.i | 2.03634 | + | 1.47949i | ||||
\(120\) | −5848.52 | + | 31663.8i | −0.0370760 | + | 0.200729i | ||||
\(121\) | −90845.6 | + | 66003.2i | −0.564080 | + | 0.409828i | ||||
\(122\) | 17946.5 | − | 13038.9i | 0.109164 | − | 0.0793125i | ||||
\(123\) | −46727.8 | − | 143813.i | −0.278492 | − | 0.857110i | ||||
\(124\) | 88599.9 | 0.517463 | ||||||||
\(125\) | 91003.5 | − | 149117.i | 0.520934 | − | 0.853597i | ||||
\(126\) | 64004.7 | 0.359158 | ||||||||
\(127\) | −51015.2 | − | 157009.i | −0.280666 | − | 0.863802i | −0.987664 | − | 0.156586i | \(-0.949951\pi\) |
0.706998 | − | 0.707216i | \(-0.250049\pi\) | |||||||
\(128\) | −13254.9 | + | 9630.27i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 104815. | − | 76152.7i | 0.554562 | − | 0.402913i | ||||
\(130\) | 28778.0 | − | 155804.i | 0.149349 | − | 0.808573i | ||||
\(131\) | 165415. | + | 120181.i | 0.842163 | + | 0.611867i | 0.922974 | − | 0.384862i | \(-0.125751\pi\) |
−0.0808108 | + | 0.996729i | \(0.525751\pi\) | |||||||
\(132\) | 75286.3 | 0.376081 | ||||||||
\(133\) | 87750.3 | + | 63754.4i | 0.430150 | + | 0.312522i | ||||
\(134\) | 24931.2 | − | 76730.4i | 0.119945 | − | 0.369152i | ||||
\(135\) | −40400.4 | + | 5343.94i | −0.190788 | + | 0.0252364i | ||||
\(136\) | −38927.5 | − | 119807.i | −0.180472 | − | 0.555435i | ||||
\(137\) | 41021.4 | − | 126251.i | 0.186728 | − | 0.574689i | −0.813246 | − | 0.581920i | \(-0.802302\pi\) |
0.999974 | + | 0.00723096i | \(0.00230171\pi\) | |||||||
\(138\) | −45159.6 | + | 138987.i | −0.201861 | + | 0.621264i | ||||
\(139\) | 81963.2 | + | 252257.i | 0.359817 | + | 1.10740i | 0.953163 | + | 0.302456i | \(0.0978066\pi\) |
−0.593346 | + | 0.804947i | \(0.702193\pi\) | |||||||
\(140\) | −76164.4 | − | 159431.i | −0.328422 | − | 0.687469i | ||||
\(141\) | −18618.0 | + | 57300.3i | −0.0788651 | + | 0.242722i | ||||
\(142\) | 251046. | + | 182395.i | 1.04480 | + | 0.759090i | ||||
\(143\) | −370451. | −1.51492 | ||||||||
\(144\) | −16775.8 | − | 12188.3i | −0.0674181 | − | 0.0489821i | ||||
\(145\) | −12775.2 | − | 26741.7i | −0.0504601 | − | 0.105626i | ||||
\(146\) | −125982. | + | 91531.3i | −0.489132 | + | 0.355375i | ||||
\(147\) | −161767. | + | 117530.i | −0.617441 | + | 0.448597i | ||||
\(148\) | 34651.4 | + | 106646.i | 0.130037 | + | 0.400212i | ||||
\(149\) | 159680. | 0.589229 | 0.294615 | − | 0.955616i | \(-0.404809\pi\) | ||||
0.294615 | + | 0.955616i | \(0.404809\pi\) | |||||||
\(150\) | 61387.2 | + | 94275.5i | 0.222766 | + | 0.342114i | ||||
\(151\) | −37262.1 | −0.132992 | −0.0664960 | − | 0.997787i | \(-0.521182\pi\) | ||||
−0.0664960 | + | 0.997787i | \(0.521182\pi\) | |||||||
\(152\) | −10858.9 | − | 33420.3i | −0.0381222 | − | 0.117328i | ||||
\(153\) | 128984. | − | 93712.6i | 0.445460 | − | 0.323645i | ||||
\(154\) | −334224. | + | 242828.i | −1.13563 | + | 0.825082i | ||||
\(155\) | 224413. | − | 213221.i | 0.750273 | − | 0.712854i | ||||
\(156\) | 82546.3 | + | 59973.4i | 0.271573 | + | 0.197309i | ||||
\(157\) | −276977. | −0.896799 | −0.448400 | − | 0.893833i | \(-0.648006\pi\) | ||||
−0.448400 | + | 0.893833i | \(0.648006\pi\) | |||||||
\(158\) | 183065. | + | 133005.i | 0.583396 | + | 0.423862i | ||||
\(159\) | 15113.7 | − | 46515.2i | 0.0474109 | − | 0.145916i | ||||
\(160\) | −10397.4 | + | 56291.2i | −0.0321088 | + | 0.173836i | ||||
\(161\) | −247807. | − | 762673.i | −0.753441 | − | 2.31885i | ||||
\(162\) | 8109.84 | − | 24959.5i | 0.0242787 | − | 0.0747221i | ||||
\(163\) | −174270. | + | 536347.i | −0.513752 | + | 1.58116i | 0.271791 | + | 0.962356i | \(0.412384\pi\) |
−0.785542 | + | 0.618808i | \(0.787616\pi\) | |||||||
\(164\) | −83071.6 | − | 255668.i | −0.241181 | − | 0.742279i | ||||
\(165\) | 190691. | − | 181181.i | 0.545282 | − | 0.518087i | ||||
\(166\) | −90567.0 | + | 278737.i | −0.255094 | + | 0.785098i | ||||
\(167\) | 2259.79 | + | 1641.84i | 0.00627014 | + | 0.00455553i | 0.590916 | − | 0.806733i | \(-0.298766\pi\) |
−0.584646 | + | 0.811289i | \(0.698766\pi\) | |||||||
\(168\) | 113786. | 0.311040 | ||||||||
\(169\) | −105792. | − | 76862.4i | −0.284929 | − | 0.207013i | ||||
\(170\) | −386920. | − | 209775.i | −1.02683 | − | 0.556712i | ||||
\(171\) | 35980.5 | − | 26141.4i | 0.0940972 | − | 0.0683656i | ||||
\(172\) | 186338. | − | 135382.i | 0.480264 | − | 0.348932i | ||||
\(173\) | −78866.7 | − | 242727.i | −0.200345 | − | 0.616599i | −0.999872 | − | 0.0159690i | \(-0.994917\pi\) |
0.799527 | − | 0.600630i | \(-0.205083\pi\) | |||||||
\(174\) | 19085.6 | 0.0477895 | ||||||||
\(175\) | −576596. | − | 220526.i | −1.42324 | − | 0.544334i | ||||
\(176\) | 133842. | 0.325695 | ||||||||
\(177\) | −95359.3 | − | 293486.i | −0.228786 | − | 0.704132i | ||||
\(178\) | 442379. | − | 321407.i | 1.04651 | − | 0.760336i | ||||
\(179\) | 645966. | − | 469322.i | 1.50687 | − | 1.09481i | 0.539333 | − | 0.842092i | \(-0.318676\pi\) |
0.967541 | − | 0.252716i | \(-0.0813237\pi\) | |||||||
\(180\) | −71823.0 | + | 9500.34i | −0.165227 | + | 0.0218553i | ||||
\(181\) | −385985. | − | 280434.i | −0.875737 | − | 0.636260i | 0.0563831 | − | 0.998409i | \(-0.482043\pi\) |
−0.932120 | + | 0.362149i | \(0.882043\pi\) | |||||||
\(182\) | −559892. | −1.25293 | ||||||||
\(183\) | 40379.7 | + | 29337.6i | 0.0891323 | + | 0.0647584i | ||||
\(184\) | −80283.7 | + | 247088.i | −0.174817 | + | 0.538030i | ||||
\(185\) | 344418. | + | 186731.i | 0.739872 | + | 0.401133i | ||||
\(186\) | 61602.5 | + | 189593.i | 0.130562 | + | 0.401828i | ||||
\(187\) | −318002. | + | 978710.i | −0.665007 | + | 2.04668i | ||||
\(188\) | −33098.6 | + | 101867.i | −0.0682992 | + | 0.210203i | ||||
\(189\) | 44501.7 | + | 136962.i | 0.0906196 | + | 0.278898i | ||||
\(190\) | −107932. | − | 58517.1i | −0.216904 | − | 0.117598i | ||||
\(191\) | −201006. | + | 618632.i | −0.398681 | + | 1.22701i | 0.527377 | + | 0.849631i | \(0.323175\pi\) |
−0.926058 | + | 0.377382i | \(0.876825\pi\) | |||||||
\(192\) | −29823.6 | − | 21668.1i | −0.0583858 | − | 0.0424197i | ||||
\(193\) | 301171. | 0.581997 | 0.290998 | − | 0.956724i | \(-0.406013\pi\) | ||||
0.290998 | + | 0.956724i | \(0.406013\pi\) | |||||||
\(194\) | −327957. | − | 238275.i | −0.625623 | − | 0.454541i | ||||
\(195\) | 353410. | − | 46747.0i | 0.665567 | − | 0.0880374i | ||||
\(196\) | −287585. | + | 208943.i | −0.534719 | + | 0.388496i | ||||
\(197\) | −526491. | + | 382518.i | −0.966552 | + | 0.702241i | −0.954663 | − | 0.297688i | \(-0.903784\pi\) |
−0.0118889 | + | 0.999929i | \(0.503784\pi\) | |||||||
\(198\) | 52345.7 | + | 161103.i | 0.0948894 | + | 0.292040i | ||||
\(199\) | −193412. | −0.346218 | −0.173109 | − | 0.984903i | \(-0.555381\pi\) | ||||
−0.173109 | + | 0.984903i | \(0.555381\pi\) | |||||||
\(200\) | 109133. | + | 167601.i | 0.192921 | + | 0.296279i | ||||
\(201\) | 181528. | 0.316923 | ||||||||
\(202\) | 64492.3 | + | 198487.i | 0.111206 | + | 0.342258i | ||||
\(203\) | −84728.1 | + | 61558.6i | −0.144307 | + | 0.104845i | ||||
\(204\) | 229305. | − | 166600.i | 0.385779 | − | 0.280285i | ||||
\(205\) | −825692. | − | 447661.i | −1.37225 | − | 0.743986i | ||||
\(206\) | −166862. | − | 121232.i | −0.273961 | − | 0.199044i | ||||
\(207\) | −328814. | −0.533365 | ||||||||
\(208\) | 146749. | + | 106619.i | 0.235189 | + | 0.170875i | ||||
\(209\) | −88707.5 | + | 273014.i | −0.140474 | + | 0.432333i | ||||
\(210\) | 288207. | − | 273833.i | 0.450979 | − | 0.428487i | ||||
\(211\) | −122285. | − | 376355.i | −0.189090 | − | 0.581958i | 0.810905 | − | 0.585178i | \(-0.198975\pi\) |
−0.999995 | + | 0.00321951i | \(0.998975\pi\) | |||||||
\(212\) | 26868.8 | − | 82693.8i | 0.0410591 | − | 0.126367i | ||||
\(213\) | −215755. | + | 664025.i | −0.325845 | + | 1.00285i | ||||
\(214\) | 84433.3 | + | 259859.i | 0.126032 | + | 0.387885i | ||||
\(215\) | 146166. | − | 791342.i | 0.215651 | − | 1.16753i | ||||
\(216\) | 14417.5 | − | 44372.5i | 0.0210259 | − | 0.0647112i | ||||
\(217\) | −884989. | − | 642982.i | −1.27582 | − | 0.926935i | ||||
\(218\) | 239945. | 0.341957 | ||||||||
\(219\) | −283459. | − | 205945.i | −0.399375 | − | 0.290163i | ||||
\(220\) | 339007. | − | 322100.i | 0.472228 | − | 0.448677i | ||||
\(221\) | −1.12831e6 | + | 819767.i | −1.55399 | + | 1.12904i | ||||
\(222\) | −204117. | + | 148300.i | −0.277969 | + | 0.201956i | ||||
\(223\) | 333029. | + | 1.02496e6i | 0.448456 | + | 1.38020i | 0.878649 | + | 0.477468i | \(0.158445\pi\) |
−0.430194 | + | 0.902737i | \(0.641555\pi\) | |||||||
\(224\) | 202286. | 0.269368 | ||||||||
\(225\) | −159056. | + | 196910.i | −0.209457 | + | 0.259305i | ||||
\(226\) | −657401. | −0.856168 | ||||||||
\(227\) | −44504.6 | − | 136971.i | −0.0573246 | − | 0.176427i | 0.918294 | − | 0.395898i | \(-0.129567\pi\) |
−0.975619 | + | 0.219471i | \(0.929567\pi\) | |||||||
\(228\) | 63965.3 | − | 46473.5i | 0.0814906 | − | 0.0592064i | ||||
\(229\) | 499839. | − | 363154.i | 0.629857 | − | 0.457618i | −0.226494 | − | 0.974013i | \(-0.572726\pi\) |
0.856351 | + | 0.516395i | \(0.172726\pi\) | |||||||
\(230\) | 391283. | + | 819052.i | 0.487720 | + | 1.02092i | ||||
\(231\) | −752004. | − | 546363.i | −0.927236 | − | 0.673677i | ||||
\(232\) | 33929.9 | 0.0413869 | ||||||||
\(233\) | 337150. | + | 244954.i | 0.406849 | + | 0.295593i | 0.772325 | − | 0.635228i | \(-0.219094\pi\) |
−0.365476 | + | 0.930821i | \(0.619094\pi\) | |||||||
\(234\) | −70942.2 | + | 218338.i | −0.0846964 | + | 0.260669i | ||||
\(235\) | 161314. | + | 337671.i | 0.190548 | + | 0.398864i | ||||
\(236\) | −169528. | − | 521752.i | −0.198135 | − | 0.609796i | ||||
\(237\) | −157331. | + | 484214.i | −0.181946 | + | 0.559972i | ||||
\(238\) | −480622. | + | 1.47920e6i | −0.549998 | + | 1.69272i | ||||
\(239\) | −37055.1 | − | 114044.i | −0.0419617 | − | 0.129145i | 0.927881 | − | 0.372876i | \(-0.121628\pi\) |
−0.969843 | + | 0.243732i | \(0.921628\pi\) | |||||||
\(240\) | −127685. | + | 16889.5i | −0.143091 | + | 0.0189273i | ||||
\(241\) | 492594. | − | 1.51605e6i | 0.546319 | − | 1.68140i | −0.171515 | − | 0.985182i | \(-0.554866\pi\) |
0.717834 | − | 0.696215i | \(-0.245134\pi\) | |||||||
\(242\) | −363382. | − | 264013.i | −0.398865 | − | 0.289792i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 71786.1 | + | 52155.7i | 0.0771909 | + | 0.0560824i | ||||
\(245\) | −225586. | + | 1.22132e6i | −0.240103 | + | 1.29991i | ||||
\(246\) | 489340. | − | 355526.i | 0.515552 | − | 0.374571i | ||||
\(247\) | −314745. | + | 228676.i | −0.328259 | + | 0.238494i | ||||
\(248\) | 109516. | + | 337054.i | 0.113070 | + | 0.347993i | ||||
\(249\) | −659432. | −0.674018 | ||||||||
\(250\) | 679762. | + | 161879.i | 0.687871 | + | 0.163810i | ||||
\(251\) | 518304. | 0.519278 | 0.259639 | − | 0.965706i | \(-0.416396\pi\) | ||||
0.259639 | + | 0.965706i | \(0.416396\pi\) | |||||||
\(252\) | 79114.1 | + | 243488.i | 0.0784789 | + | 0.241533i | ||||
\(253\) | 1.71702e6 | − | 1.24749e6i | 1.68646 | − | 1.22528i | ||||
\(254\) | 534238. | − | 388147.i | 0.519578 | − | 0.377495i | ||||
\(255\) | 179871. | − | 973816.i | 0.173225 | − | 0.937835i | ||||
\(256\) | −53019.7 | − | 38521.1i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 895330. | 0.845572 | 0.422786 | − | 0.906230i | \(-0.361052\pi\) | ||||
0.422786 | + | 0.906230i | \(0.361052\pi\) | |||||||
\(258\) | 419261. | + | 304611.i | 0.392134 | + | 0.284902i | ||||
\(259\) | 427827. | − | 1.31671e6i | 0.396295 | − | 1.21967i | ||||
\(260\) | 628284. | − | 83105.8i | 0.576398 | − | 0.0762427i | ||||
\(261\) | 13270.0 | + | 40840.8i | 0.0120578 | + | 0.0371102i | ||||
\(262\) | −252731. | + | 777827.i | −0.227461 | + | 0.700052i | ||||
\(263\) | 462047. | − | 1.42203e6i | 0.411904 | − | 1.26771i | −0.503086 | − | 0.864236i | \(-0.667802\pi\) |
0.914991 | − | 0.403475i | \(-0.132198\pi\) | |||||||
\(264\) | 93059.0 | + | 286406.i | 0.0821767 | + | 0.252914i | ||||
\(265\) | −130952. | − | 274115.i | −0.114551 | − | 0.239783i | ||||
\(266\) | −134071. | + | 412627.i | −0.116179 | + | 0.357564i | ||||
\(267\) | 995353. | + | 723166.i | 0.854474 | + | 0.620812i | ||||
\(268\) | 322717. | 0.274463 | ||||||||
\(269\) | 1.30360e6 | + | 947121.i | 1.09841 | + | 0.798040i | 0.980799 | − | 0.195020i | \(-0.0624772\pi\) |
0.117608 | + | 0.993060i | \(0.462477\pi\) | |||||||
\(270\) | −70267.2 | − | 147087.i | −0.0586602 | − | 0.122790i | ||||
\(271\) | 1.60206e6 | − | 1.16397e6i | 1.32512 | − | 0.962758i | 0.325269 | − | 0.945621i | \(-0.394545\pi\) |
0.999853 | − | 0.0171362i | \(-0.00545489\pi\) | |||||||
\(272\) | 407654. | − | 296178.i | 0.334095 | − | 0.242734i | ||||
\(273\) | −389286. | − | 1.19810e6i | −0.316128 | − | 0.972941i | ||||
\(274\) | 530992. | 0.427279 | ||||||||
\(275\) | 83513.0 | − | 1.63168e6i | 0.0665921 | − | 1.30108i | ||||
\(276\) | −584558. | −0.461907 | ||||||||
\(277\) | −87892.2 | − | 270505.i | −0.0688258 | − | 0.211824i | 0.910728 | − | 0.413007i | \(-0.135521\pi\) |
−0.979554 | + | 0.201183i | \(0.935521\pi\) | |||||||
\(278\) | −858330. | + | 623613.i | −0.666104 | + | 0.483953i | ||||
\(279\) | −362874. | + | 263643.i | −0.279091 | + | 0.202771i | ||||
\(280\) | 512368. | − | 486814.i | 0.390559 | − | 0.371081i | ||||
\(281\) | −1.80785e6 | − | 1.31348e6i | −1.36583 | − | 0.992335i | −0.998050 | − | 0.0624230i | \(-0.980117\pi\) |
−0.367782 | − | 0.929912i | \(-0.619883\pi\) | |||||||
\(282\) | −240996. | −0.180463 | ||||||||
\(283\) | −220467. | − | 160179.i | −0.163636 | − | 0.118888i | 0.502954 | − | 0.864313i | \(-0.332247\pi\) |
−0.666590 | + | 0.745425i | \(0.732247\pi\) | |||||||
\(284\) | −383564. | + | 1.18049e6i | −0.282190 | + | 0.868492i | ||||
\(285\) | 50175.4 | − | 271648.i | 0.0365913 | − | 0.198105i | ||||
\(286\) | −457903. | − | 1.40928e6i | −0.331023 | − | 1.01878i | ||||
\(287\) | −1.02565e6 | + | 3.15663e6i | −0.735013 | + | 2.26214i | ||||
\(288\) | 25631.1 | − | 78884.4i | 0.0182090 | − | 0.0560415i | ||||
\(289\) | 758451. | + | 2.33427e6i | 0.534174 | + | 1.64402i | ||||
\(290\) | 85940.6 | − | 81654.4i | 0.0600072 | − | 0.0570144i | ||||
\(291\) | 281854. | − | 867457.i | 0.195115 | − | 0.600503i | ||||
\(292\) | −503928. | − | 366125.i | −0.345869 | − | 0.251288i | ||||
\(293\) | 1.04298e6 | 0.709755 | 0.354878 | − | 0.934913i | \(-0.384523\pi\) | ||||
0.354878 | + | 0.934913i | \(0.384523\pi\) | |||||||
\(294\) | −647066. | − | 470121.i | −0.436597 | − | 0.317206i | ||||
\(295\) | −1.68502e6 | − | 913560.i | −1.12733 | − | 0.611198i | ||||
\(296\) | −362874. | + | 263644.i | −0.240728 | + | 0.174899i | ||||
\(297\) | −308346. | + | 224027.i | −0.202837 | + | 0.147370i | ||||
\(298\) | 197375. | + | 607458.i | 0.128751 | + | 0.396256i | ||||
\(299\) | 2.87636e6 | 1.86065 | ||||||||
\(300\) | −282767. | + | 350062.i | −0.181395 | + | 0.224565i | ||||
\(301\) | −2.84374e6 | −1.80915 | ||||||||
\(302\) | −46058.5 | − | 141754.i | −0.0290598 | − | 0.0894369i | ||||
\(303\) | −379897. | + | 276011.i | −0.237716 | + | 0.172711i | ||||
\(304\) | 113716. | − | 82619.6i | 0.0705729 | − | 0.0512742i | ||||
\(305\) | 307342. | − | 40653.4i | 0.189178 | − | 0.0250235i | ||||
\(306\) | 515937. | + | 374850.i | 0.314987 | + | 0.228852i | ||||
\(307\) | 2.30792e6 | 1.39757 | 0.698786 | − | 0.715331i | \(-0.253724\pi\) | ||||
0.698786 | + | 0.715331i | \(0.253724\pi\) | |||||||
\(308\) | −1.33690e6 | − | 971312.i | −0.803010 | − | 0.583421i | ||||
\(309\) | 143405. | − | 441355.i | 0.0854413 | − | 0.262961i | ||||
\(310\) | 1.08853e6 | + | 590163.i | 0.643334 | + | 0.348793i | ||||
\(311\) | 821865. | + | 2.52944e6i | 0.481836 | + | 1.48294i | 0.836511 | + | 0.547949i | \(0.184591\pi\) |
−0.354675 | + | 0.934989i | \(0.615409\pi\) | |||||||
\(312\) | −126120. | + | 388156.i | −0.0733493 | + | 0.225746i | ||||
\(313\) | 28760.6 | − | 88515.9i | 0.0165934 | − | 0.0510694i | −0.942417 | − | 0.334440i | \(-0.891453\pi\) |
0.959010 | + | 0.283371i | \(0.0914527\pi\) | |||||||
\(314\) | −342363. | − | 1.05368e6i | −0.195958 | − | 0.603096i | ||||
\(315\) | 786356. | + | 426335.i | 0.446522 | + | 0.242088i | ||||
\(316\) | −279699. | + | 860825.i | −0.157570 | + | 0.484950i | ||||
\(317\) | 996653. | + | 724111.i | 0.557052 | + | 0.404722i | 0.830379 | − | 0.557199i | \(-0.188124\pi\) |
−0.273327 | + | 0.961921i | \(0.588124\pi\) | |||||||
\(318\) | 195636. | 0.108488 | ||||||||
\(319\) | −224241. | − | 162920.i | −0.123378 | − | 0.0896393i | ||||
\(320\) | −226996. | + | 30025.8i | −0.123921 | + | 0.0163915i | ||||
\(321\) | −497361. | + | 361354.i | −0.269407 | + | 0.195736i | ||||
\(322\) | 2.59507e6 | − | 1.88543e6i | 1.39479 | − | 1.01338i | ||||
\(323\) | 333965. | + | 1.02784e6i | 0.178113 | + | 0.548174i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 1.39137e6 | − | 1.72250e6i | 0.730692 | − | 0.904588i | ||||
\(326\) | −2.25580e6 | −1.17559 | ||||||||
\(327\) | 166831. | + | 513454.i | 0.0862795 | + | 0.265541i | ||||
\(328\) | 869938. | − | 632047.i | 0.446481 | − | 0.324388i | ||||
\(329\) | 1.06987e6 | − | 777308.i | 0.544932 | − | 0.395916i | ||||
\(330\) | 924961. | + | 501481.i | 0.467561 | + | 0.253495i | ||||
\(331\) | 1.63491e6 | + | 1.18783e6i | 0.820207 | + | 0.595915i | 0.916772 | − | 0.399411i | \(-0.130786\pi\) |
−0.0965648 | + | 0.995327i | \(0.530786\pi\) | |||||||
\(332\) | −1.17232e6 | −0.583717 | ||||||||
\(333\) | −459263. | − | 333674.i | −0.226961 | − | 0.164897i | ||||
\(334\) | −3452.66 | + | 10626.2i | −0.00169351 | + | 0.00521208i | ||||
\(335\) | 817404. | − | 776637.i | 0.397946 | − | 0.378099i | ||||
\(336\) | 140647. | + | 432868.i | 0.0679647 | + | 0.209174i | ||||
\(337\) | 116766. | − | 359370.i | 0.0560071 | − | 0.172372i | −0.919140 | − | 0.393932i | \(-0.871115\pi\) |
0.975147 | + | 0.221560i | \(0.0711147\pi\) | |||||||
\(338\) | 161636. | − | 497464.i | 0.0769566 | − | 0.236848i | ||||
\(339\) | −457083. | − | 1.40676e6i | −0.216021 | − | 0.664844i | ||||
\(340\) | 319770. | − | 1.73123e6i | 0.150017 | − | 0.812189i | ||||
\(341\) | 894642. | − | 2.75342e6i | 0.416642 | − | 1.28229i | ||||
\(342\) | 143922. | + | 104565.i | 0.0665368 | + | 0.0483418i | ||||
\(343\) | 1.06875e6 | 0.490503 | ||||||||
\(344\) | 745352. | + | 541530.i | 0.339598 | + | 0.246733i | ||||
\(345\) | −1.48062e6 | + | 1.40677e6i | −0.669723 | + | 0.636321i | ||||
\(346\) | 825903. | − | 600054.i | 0.370885 | − | 0.269463i | ||||
\(347\) | −3.20075e6 | + | 2.32548e6i | −1.42702 | + | 1.03679i | −0.436453 | + | 0.899727i | \(0.643765\pi\) |
−0.990563 | + | 0.137060i | \(0.956235\pi\) | |||||||
\(348\) | 23591.1 | + | 72605.9i | 0.0104424 | + | 0.0321384i | ||||
\(349\) | −695664. | −0.305729 | −0.152864 | − | 0.988247i | \(-0.548850\pi\) | ||||
−0.152864 | + | 0.988247i | \(0.548850\pi\) | |||||||
\(350\) | 126220. | − | 2.46609e6i | 0.0550754 | − | 1.07607i | ||||
\(351\) | −516541. | −0.223788 | ||||||||
\(352\) | 165438. | + | 509166.i | 0.0711671 | + | 0.219030i | ||||
\(353\) | −2.93067e6 | + | 2.12925e6i | −1.25178 | + | 0.909475i | −0.998324 | − | 0.0578713i | \(-0.981569\pi\) |
−0.253460 | + | 0.967346i | \(0.581569\pi\) | |||||||
\(354\) | 998616. | − | 725537.i | 0.423536 | − | 0.307717i | ||||
\(355\) | 1.86939e6 | + | 3.91311e6i | 0.787281 | + | 1.64798i | ||||
\(356\) | 1.76952e6 | + | 1.28563e6i | 0.739996 | + | 0.537639i | ||||
\(357\) | −3.49948e6 | −1.45323 | ||||||||
\(358\) | 2.58386e6 | + | 1.87729e6i | 1.06552 | + | 0.774146i | ||||
\(359\) | −788903. | + | 2.42800e6i | −0.323063 | + | 0.994287i | 0.649244 | + | 0.760580i | \(0.275085\pi\) |
−0.972307 | + | 0.233707i | \(0.924915\pi\) | |||||||
\(360\) | −124920. | − | 261488.i | −0.0508012 | − | 0.106340i | ||||
\(361\) | −671996. | − | 2.06819e6i | −0.271393 | − | 0.835262i | ||||
\(362\) | 589732. | − | 1.81501e6i | 0.236529 | − | 0.727960i | ||||
\(363\) | 312299. | − | 961159.i | 0.124395 | − | 0.382850i | ||||
\(364\) | −692064. | − | 2.12996e6i | −0.273775 | − | 0.842591i | ||||
\(365\) | −2.15749e6 | + | 285381.i | −0.847651 | + | 0.112122i | ||||
\(366\) | −61694.7 | + | 189877.i | −0.0240738 | + | 0.0740916i | ||||
\(367\) | 3.01143e6 | + | 2.18793e6i | 1.16710 | + | 0.847948i | 0.990659 | − | 0.136364i | \(-0.0435415\pi\) |
0.176441 | + | 0.984311i | \(0.443542\pi\) | |||||||
\(368\) | −1.03921e6 | −0.400023 | ||||||||
\(369\) | 1.10101e6 | + | 799934.i | 0.420947 | + | 0.305836i | ||||
\(370\) | −284644. | + | 1.54106e6i | −0.108093 | + | 0.585214i | ||||
\(371\) | −868502. | + | 631004.i | −0.327594 | + | 0.238011i | ||||
\(372\) | −645109. | + | 468699.i | −0.241700 | + | 0.175605i | ||||
\(373\) | 225214. | + | 693136.i | 0.0838151 | + | 0.257956i | 0.984178 | − | 0.177184i | \(-0.0566987\pi\) |
−0.900363 | + | 0.435140i | \(0.856699\pi\) | |||||||
\(374\) | −4.11631e6 | −1.52170 | ||||||||
\(375\) | 126230. | + | 1.56716e6i | 0.0463536 | + | 0.575486i | ||||
\(376\) | −428438. | −0.156285 | ||||||||
\(377\) | −116081. | − | 357262.i | −0.0420639 | − | 0.129459i | ||||
\(378\) | −466028. | + | 338589.i | −0.167758 | + | 0.121883i | ||||
\(379\) | 1.00364e6 | − | 729190.i | 0.358907 | − | 0.260761i | −0.393689 | − | 0.919244i | \(-0.628801\pi\) |
0.752596 | + | 0.658483i | \(0.228801\pi\) | |||||||
\(380\) | 89200.6 | − | 482930.i | 0.0316890 | − | 0.171564i | ||||
\(381\) | 1.20204e6 | + | 873330.i | 0.424233 | + | 0.308224i | ||||
\(382\) | −2.60187e6 | −0.912279 | ||||||||
\(383\) | −1.01616e6 | − | 738282.i | −0.353968 | − | 0.257173i | 0.396564 | − | 0.918007i | \(-0.370203\pi\) |
−0.750532 | + | 0.660834i | \(0.770203\pi\) | |||||||
\(384\) | 45566.4 | − | 140239.i | 0.0157695 | − | 0.0485334i | ||||
\(385\) | −5.72373e6 | + | 757102.i | −1.96801 | + | 0.260317i | ||||
\(386\) | 372268. | + | 1.14572e6i | 0.127171 | + | 0.391392i | ||||
\(387\) | −360322. | + | 1.10896e6i | −0.122296 | + | 0.376390i | ||||
\(388\) | 501074. | − | 1.54215e6i | 0.168975 | − | 0.520051i | ||||
\(389\) | 115744. | + | 356224.i | 0.0387816 | + | 0.119357i | 0.968573 | − | 0.248729i | \(-0.0800130\pi\) |
−0.929791 | + | 0.368087i | \(0.880013\pi\) | |||||||
\(390\) | 614675. | + | 1.28667e6i | 0.204637 | + | 0.428356i | ||||
\(391\) | 2.46912e6 | − | 7.59916e6i | 0.816770 | − | 2.51376i | ||||
\(392\) | −1.15034e6 | − | 835771.i | −0.378104 | − | 0.274708i | ||||
\(393\) | −1.84018e6 | −0.601005 | ||||||||
\(394\) | −2.10596e6 | − | 1.53007e6i | −0.683456 | − | 0.496560i | ||||
\(395\) | 1.36318e6 | + | 2.85348e6i | 0.439603 | + | 0.920200i | ||||
\(396\) | −548171. | + | 398270.i | −0.175662 | + | 0.127626i | ||||
\(397\) | −2.23833e6 | + | 1.62624e6i | −0.712767 | + | 0.517855i | −0.884065 | − | 0.467364i | \(-0.845204\pi\) |
0.171298 | + | 0.985219i | \(0.445204\pi\) | |||||||
\(398\) | −239070. | − | 735781.i | −0.0756514 | − | 0.232831i | ||||
\(399\) | −976189. | −0.306974 | ||||||||
\(400\) | −502696. | + | 622332.i | −0.157093 | + | 0.194479i | ||||
\(401\) | 4.72070e6 | 1.46604 | 0.733020 | − | 0.680207i | \(-0.238110\pi\) | ||||
0.733020 | + | 0.680207i | \(0.238110\pi\) | |||||||
\(402\) | 224381. | + | 690574.i | 0.0692502 | + | 0.213130i | ||||
\(403\) | 3.17430e6 | − | 2.30627e6i | 0.973612 | − | 0.707370i | ||||
\(404\) | −675372. | + | 490686.i | −0.205868 | + | 0.149572i | ||||
\(405\) | 265892. | − | 252631.i | 0.0805504 | − | 0.0765331i | ||||
\(406\) | −338912. | − | 246234.i | −0.102040 | − | 0.0741367i | ||||
\(407\) | 3.66414e6 | 1.09644 | ||||||||
\(408\) | 917222. | + | 666400.i | 0.272787 | + | 0.198191i | ||||
\(409\) | −1.77290e6 | + | 5.45642e6i | −0.524054 | + | 1.61287i | 0.242126 | + | 0.970245i | \(0.422155\pi\) |
−0.766180 | + | 0.642627i | \(0.777845\pi\) | |||||||
\(410\) | 682392. | − | 3.69446e6i | 0.200482 | − | 1.08540i | ||||
\(411\) | 369192. | + | 1.13626e6i | 0.107807 | + | 0.331797i | ||||
\(412\) | 254942. | − | 784631.i | 0.0739943 | − | 0.227731i | ||||
\(413\) | −2.09309e6 | + | 6.44186e6i | −0.603827 | + | 1.85839i | ||||
\(414\) | −406436. | − | 1.25088e6i | −0.116544 | − | 0.358687i | ||||
\(415\) | −2.96936e6 | + | 2.82127e6i | −0.846335 | + | 0.804126i | ||||
\(416\) | −224212. | + | 690055.i | −0.0635223 | + | 0.195502i | ||||
\(417\) | −1.93124e6 | − | 1.40313e6i | −0.543872 | − | 0.395146i | ||||
\(418\) | −1.14825e6 | −0.321438 | ||||||||
\(419\) | −3.09825e6 | − | 2.25101e6i | −0.862147 | − | 0.626387i | 0.0663211 | − | 0.997798i | \(-0.478874\pi\) |
−0.928468 | + | 0.371412i | \(0.878874\pi\) | |||||||
\(420\) | 1.39797e6 | + | 757928.i | 0.386699 | + | 0.209655i | ||||
\(421\) | 1.01432e6 | − | 736947.i | 0.278914 | − | 0.202643i | −0.439530 | − | 0.898228i | \(-0.644855\pi\) |
0.718443 | + | 0.695585i | \(0.244855\pi\) | |||||||
\(422\) | 1.28059e6 | − | 930401.i | 0.350048 | − | 0.254325i | ||||
\(423\) | −167562. | − | 515702.i | −0.0455328 | − | 0.140136i | ||||
\(424\) | 347797. | 0.0939532 | ||||||||
\(425\) | −3.35637e6 | − | 5.15455e6i | −0.901357 | − | 1.38426i | ||||
\(426\) | −2.79279e6 | −0.745614 | ||||||||
\(427\) | −338542. | − | 1.04192e6i | −0.0898550 | − | 0.276545i | ||||
\(428\) | −884197. | + | 642407.i | −0.233313 | + | 0.169512i | ||||
\(429\) | 2.69731e6 | − | 1.95971e6i | 0.707600 | − | 0.514101i | ||||
\(430\) | 3.19111e6 | − | 422102.i | 0.832283 | − | 0.110090i | ||||
\(431\) | 4.97192e6 | + | 3.61231e6i | 1.28923 | + | 0.936682i | 0.999790 | − | 0.0205136i | \(-0.00653013\pi\) |
0.289442 | + | 0.957195i | \(0.406530\pi\) | |||||||
\(432\) | 186624. | 0.0481125 | ||||||||
\(433\) | −5.99242e6 | − | 4.35375e6i | −1.53597 | − | 1.11595i | −0.952800 | − | 0.303597i | \(-0.901812\pi\) |
−0.583170 | − | 0.812350i | \(-0.698188\pi\) | |||||||
\(434\) | 1.35214e6 | − | 4.16147e6i | 0.344586 | − | 1.06053i | ||||
\(435\) | 234484. | + | 127129.i | 0.0594142 | + | 0.0322123i | ||||
\(436\) | 296589. | + | 912806.i | 0.0747203 | + | 0.229965i | ||||
\(437\) | 688766. | − | 2.11980e6i | 0.172531 | − | 0.530997i | ||||
\(438\) | 433087. | − | 1.33291e6i | 0.107867 | − | 0.331982i | ||||
\(439\) | 1.05126e6 | + | 3.23545e6i | 0.260345 | + | 0.801260i | 0.992729 | + | 0.120369i | \(0.0384076\pi\) |
−0.732384 | + | 0.680892i | \(0.761592\pi\) | |||||||
\(440\) | 1.64438e6 | + | 891522.i | 0.404920 | + | 0.219533i | ||||
\(441\) | 556104. | − | 1.71151e6i | 0.136163 | − | 0.419067i | ||||
\(442\) | −4.51325e6 | − | 3.27907e6i | −1.09884 | − | 0.798352i | ||||
\(443\) | −3.65382e6 | −0.884581 | −0.442291 | − | 0.896872i | \(-0.645834\pi\) | ||||
−0.442291 | + | 0.896872i | \(0.645834\pi\) | |||||||
\(444\) | −816467. | − | 593198.i | −0.196554 | − | 0.142805i | ||||
\(445\) | 7.57592e6 | − | 1.00210e6i | 1.81357 | − | 0.239889i | ||||
\(446\) | −3.48752e6 | + | 2.53383e6i | −0.830194 | + | 0.603171i | ||||
\(447\) | −1.16265e6 | + | 844717.i | −0.275221 | + | 0.199960i | ||||
\(448\) | 250040. | + | 769543.i | 0.0588592 | + | 0.181150i | ||||
\(449\) | 4.46825e6 | 1.04598 | 0.522988 | − | 0.852340i | \(-0.324817\pi\) | ||||
0.522988 | + | 0.852340i | \(0.324817\pi\) | |||||||
\(450\) | −945693. | − | 361692.i | −0.220150 | − | 0.0841991i | ||||
\(451\) | −8.78423e6 | −2.03359 | ||||||||
\(452\) | −812592. | − | 2.50090e6i | −0.187080 | − | 0.575772i | ||||
\(453\) | 271311. | − | 197119.i | 0.0621187 | − | 0.0451319i | ||||
\(454\) | 466059. | − | 338611.i | 0.106121 | − | 0.0771014i | ||||
\(455\) | −6.87879e6 | − | 3.72943e6i | −1.55770 | − | 0.844529i | ||||
\(456\) | 255861. | + | 185894.i | 0.0576225 | + | 0.0418652i | ||||
\(457\) | 674951. | 0.151176 | 0.0755878 | − | 0.997139i | \(-0.475917\pi\) | ||||
0.0755878 | + | 0.997139i | \(0.475917\pi\) | |||||||
\(458\) | 1.99936e6 | + | 1.45262e6i | 0.445376 | + | 0.323584i | ||||
\(459\) | −443409. | + | 1.36467e6i | −0.0982364 | + | 0.302340i | ||||
\(460\) | −2.63221e6 | + | 2.50093e6i | −0.579997 | + | 0.551071i | ||||
\(461\) | 672830. | + | 2.07076e6i | 0.147453 | + | 0.453813i | 0.997318 | − | 0.0731866i | \(-0.0233169\pi\) |
−0.849865 | + | 0.527000i | \(0.823317\pi\) | |||||||
\(462\) | 1.14896e6 | − | 3.53614e6i | 0.250438 | − | 0.770769i | ||||
\(463\) | −46572.8 | + | 143336.i | −0.0100967 | + | 0.0310745i | −0.955978 | − | 0.293439i | \(-0.905200\pi\) |
0.945881 | + | 0.324513i | \(0.105200\pi\) | |||||||
\(464\) | 41939.7 | + | 129077.i | 0.00904337 | + | 0.0278326i | ||||
\(465\) | −506034. | + | 2.73966e6i | −0.108529 | + | 0.587575i | ||||
\(466\) | −515120. | + | 1.58538e6i | −0.109886 | + | 0.338195i | ||||
\(467\) | −1.65348e6 | − | 1.20133e6i | −0.350839 | − | 0.254899i | 0.398382 | − | 0.917220i | \(-0.369572\pi\) |
−0.749221 | + | 0.662320i | \(0.769572\pi\) | |||||||
\(468\) | −918295. | −0.193806 | ||||||||
\(469\) | −3.22349e6 | − | 2.34200e6i | −0.676696 | − | 0.491648i | ||||
\(470\) | −1.08518e6 | + | 1.03106e6i | −0.226599 | + | 0.215298i | ||||
\(471\) | 2.01671e6 | − | 1.46523e6i | 0.418882 | − | 0.304336i | ||||
\(472\) | 1.77532e6 | − | 1.28984e6i | 0.366793 | − | 0.266491i | ||||
\(473\) | −2.32573e6 | − | 7.15787e6i | −0.477977 | − | 1.47106i | ||||
\(474\) | −2.03653e6 | −0.416337 | ||||||||
\(475\) | −936267. | − | 1.43787e6i | −0.190399 | − | 0.292406i | ||||
\(476\) | −6.22130e6 | −1.25853 | ||||||||
\(477\) | 136023. | + | 418637.i | 0.0273727 | + | 0.0842445i | ||||
\(478\) | 388046. | − | 281932.i | 0.0776807 | − | 0.0564383i | ||||
\(479\) | −853945. | + | 620427.i | −0.170056 | + | 0.123553i | −0.669558 | − | 0.742760i | \(-0.733516\pi\) |
0.499502 | + | 0.866313i | \(0.333516\pi\) | |||||||
\(480\) | −222079. | − | 464867.i | −0.0439951 | − | 0.0920929i | ||||
\(481\) | 4.01748e6 | + | 2.91887e6i | 0.791755 | + | 0.575244i | ||||
\(482\) | 6.37627e6 | 1.25011 | ||||||||
\(483\) | 5.83891e6 | + | 4.24222e6i | 1.13884 | + | 0.827418i | ||||
\(484\) | 555199. | − | 1.70873e6i | 0.107730 | − | 0.331558i | ||||
\(485\) | −2.44211e6 | − | 5.11194e6i | −0.471422 | − | 0.986805i | ||||
\(486\) | 72988.6 | + | 224636.i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | 166876. | − | 513591.i | 0.0318839 | − | 0.0981284i | −0.933848 | − | 0.357670i | \(-0.883571\pi\) |
0.965732 | + | 0.259541i | \(0.0835714\pi\) | |||||||
\(488\) | −109679. | + | 337559.i | −0.0208485 | + | 0.0641652i | ||||
\(489\) | −1.56843e6 | − | 4.82713e6i | −0.296615 | − | 0.912886i | ||||
\(490\) | −4.92501e6 | + | 651452.i | −0.926652 | + | 0.122572i | ||||
\(491\) | −1.62308e6 | + | 4.99533e6i | −0.303834 | + | 0.935105i | 0.676276 | + | 0.736649i | \(0.263593\pi\) |
−0.980110 | + | 0.198456i | \(0.936407\pi\) | |||||||
\(492\) | 1.95736e6 | + | 1.42210e6i | 0.364551 | + | 0.264862i | ||||
\(493\) | −1.04351e6 | −0.193366 | ||||||||
\(494\) | −1.25898e6 | − | 914704.i | −0.232114 | − | 0.168641i | ||||
\(495\) | −429994. | + | 2.32798e6i | −0.0788767 | + | 0.427037i | ||||
\(496\) | −1.14686e6 | + | 833243.i | −0.209318 | + | 0.152078i | ||||
\(497\) | 1.23982e7 | − | 9.00784e6i | 2.25148 | − | 1.63580i | ||||
\(498\) | −815103. | − | 2.50863e6i | −0.147278 | − | 0.453276i | ||||
\(499\) | 6.38969e6 | 1.14876 | 0.574379 | − | 0.818590i | \(-0.305244\pi\) | ||||
0.574379 | + | 0.818590i | \(0.305244\pi\) | |||||||
\(500\) | 224408. | + | 2.78606e6i | 0.0401434 | + | 0.498386i | ||||
\(501\) | −25139.3 | −0.00447465 | ||||||||
\(502\) | 640658. | + | 1.97174e6i | 0.113466 | + | 0.349214i | ||||
\(503\) | 3.44531e6 | − | 2.50317e6i | 0.607168 | − | 0.441133i | −0.241248 | − | 0.970464i | \(-0.577557\pi\) |
0.848416 | + | 0.529330i | \(0.177557\pi\) | |||||||
\(504\) | −828494. | + | 601936.i | −0.145282 | + | 0.105554i | ||||
\(505\) | −529772. | + | 2.86817e6i | −0.0924401 | + | 0.500469i | ||||
\(506\) | 6.86809e6 | + | 4.98996e6i | 1.19250 | + | 0.866405i | ||||
\(507\) | 1.17690e6 | 0.203338 | ||||||||
\(508\) | 2.13695e6 | + | 1.55259e6i | 0.367397 | + | 0.266929i | ||||
\(509\) | −2.06489e6 | + | 6.35508e6i | −0.353266 | + | 1.08724i | 0.603742 | + | 0.797180i | \(0.293676\pi\) |
−0.957008 | + | 0.290062i | \(0.906324\pi\) | |||||||
\(510\) | 3.92695e6 | − | 519434.i | 0.668544 | − | 0.0884311i | ||||
\(511\) | 2.37651e6 | + | 7.31415e6i | 0.402613 | + | 1.23912i | ||||
\(512\) | 81007.0 | − | 249314.i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −123690. | + | 380678.i | −0.0207511 | + | 0.0638653i | ||||
\(514\) | 1.10669e6 | + | 3.40604e6i | 0.184764 | + | 0.568646i | ||||
\(515\) | −1.24252e6 | − | 2.60091e6i | −0.206437 | − | 0.432123i | ||||
\(516\) | −640573. | + | 1.97148e6i | −0.105912 | + | 0.325963i | ||||
\(517\) | 2.83152e6 | + | 2.05722e6i | 0.465900 | + | 0.338496i | ||||
\(518\) | 5.53790e6 | 0.906820 | ||||||||
\(519\) | 1.85828e6 | + | 1.35012e6i | 0.302826 | + | 0.220016i | ||||
\(520\) | 1.09276e6 | + | 2.28741e6i | 0.177221 | + | 0.370967i | ||||
\(521\) | 511312. | − | 371490.i | 0.0825262 | − | 0.0599588i | −0.545757 | − | 0.837943i | \(-0.683758\pi\) |
0.628283 | + | 0.777985i | \(0.283758\pi\) | |||||||
\(522\) | −138965. | + | 100964.i | −0.0223218 | + | 0.0162177i | ||||
\(523\) | 1.02059e6 | + | 3.14107e6i | 0.163154 | + | 0.502138i | 0.998896 | − | 0.0469859i | \(-0.0149616\pi\) |
−0.835741 | + | 0.549124i | \(0.814962\pi\) | |||||||
\(524\) | −3.27142e6 | −0.520486 | ||||||||
\(525\) | 5.36489e6 | − | 1.44455e6i | 0.849498 | − | 0.228736i | ||||
\(526\) | 5.98086e6 | 0.942539 | ||||||||
\(527\) | −3.36814e6 | − | 1.03661e7i | −0.528279 | − | 1.62588i | ||||
\(528\) | −974526. | + | 708035.i | −0.152128 | + | 0.110527i | ||||
\(529\) | −8.12466e6 | + | 5.90291e6i | −1.26231 | + | 0.917122i | ||||
\(530\) | 880930. | − | 836995.i | 0.136223 | − | 0.129430i | ||||
\(531\) | 2.24688e6 | + | 1.63246e6i | 0.345816 | + | 0.251250i | ||||
\(532\) | −1.73545e6 | −0.265847 | ||||||||
\(533\) | −9.63131e6 | − | 6.99756e6i | −1.46848 | − | 1.06691i | ||||
\(534\) | −1.52076e6 | + | 4.68043e6i | −0.230786 | + | 0.710285i | ||||
\(535\) | −693577. | + | 3.75501e6i | −0.104764 | + | 0.567188i | ||||
\(536\) | 398900. | + | 1.22769e6i | 0.0599724 | + | 0.184576i | ||||
\(537\) | −2.22063e6 | + | 6.83440e6i | −0.332308 | + | 1.02274i | ||||
\(538\) | −1.99172e6 | + | 6.12989e6i | −0.296670 | + | 0.913056i | ||||
\(539\) | 3.58942e6 | + | 1.10471e7i | 0.532173 | + | 1.63786i | ||||
\(540\) | 472697. | − | 449122.i | 0.0697587 | − | 0.0662796i | ||||
\(541\) | −1.52255e6 | + | 4.68594e6i | −0.223656 | + | 0.688341i | 0.774770 | + | 0.632243i | \(0.217866\pi\) |
−0.998425 | + | 0.0560975i | \(0.982134\pi\) | |||||||
\(542\) | 6.40825e6 | + | 4.65586e6i | 0.937003 | + | 0.680772i | ||||
\(543\) | 4.29393e6 | 0.624965 | ||||||||
\(544\) | 1.63062e6 | + | 1.18471e6i | 0.236241 | + | 0.171639i | ||||
\(545\) | 2.94795e6 | + | 1.59827e6i | 0.425137 | + | 0.230494i | ||||
\(546\) | 4.07666e6 | − | 2.96187e6i | 0.585225 | − | 0.425191i | ||||
\(547\) | 4.21466e6 | − | 3.06213e6i | 0.602274 | − | 0.437577i | −0.244412 | − | 0.969672i | \(-0.578595\pi\) |
0.846685 | + | 0.532094i | \(0.178595\pi\) | |||||||
\(548\) | 656342. | + | 2.02001e6i | 0.0933639 | + | 0.287344i | ||||
\(549\) | −449208. | −0.0636088 | ||||||||
\(550\) | 6.31051e6 | − | 1.69917e6i | 0.889525 | − | 0.239513i | ||||
\(551\) | −291090. | −0.0408459 | ||||||||
\(552\) | −722553. | − | 2.22379e6i | −0.100930 | − | 0.310632i | ||||
\(553\) | 9.04092e6 | − | 6.56862e6i | 1.25719 | − | 0.913400i | ||||
\(554\) | 920419. | − | 668724.i | 0.127412 | − | 0.0925705i | ||||
\(555\) | −3.49558e6 | + | 462376.i | −0.481712 | + | 0.0637181i | ||||
\(556\) | −3.43332e6 | − | 2.49445e6i | −0.471007 | − | 0.342207i | ||||
\(557\) | −775557. | −0.105919 | −0.0529597 | − | 0.998597i | \(-0.516865\pi\) | ||||
−0.0529597 | + | 0.998597i | \(0.516865\pi\) | |||||||
\(558\) | −1.45150e6 | − | 1.05457e6i | −0.197347 | − | 0.143381i | ||||
\(559\) | 3.15198e6 | − | 9.70080e6i | 0.426633 | − | 1.31304i | ||||
\(560\) | 2.48527e6 | + | 1.34743e6i | 0.334892 | + | 0.181566i | ||||
\(561\) | −2.86202e6 | − | 8.80839e6i | −0.383942 | − | 1.18165i | ||||
\(562\) | 2.76215e6 | − | 8.50103e6i | 0.368899 | − | 1.13535i | ||||
\(563\) | 456587. | − | 1.40523e6i | 0.0607089 | − | 0.186843i | −0.916103 | − | 0.400944i | \(-0.868682\pi\) |
0.976812 | + | 0.214101i | \(0.0686822\pi\) | |||||||
\(564\) | −297888. | − | 916804.i | −0.0394326 | − | 0.121361i | ||||
\(565\) | −8.07677e6 | − | 4.37894e6i | −1.06443 | − | 0.577096i | ||||
\(566\) | 336844. | − | 1.03670e6i | 0.0441965 | − | 0.136023i | ||||
\(567\) | −1.04856e6 | − | 761826.i | −0.136974 | − | 0.0995171i | ||||
\(568\) | −4.96496e6 | −0.645720 | ||||||||
\(569\) | 2.53513e6 | + | 1.84188e6i | 0.328261 | + | 0.238496i | 0.739692 | − | 0.672945i | \(-0.234971\pi\) |
−0.411431 | + | 0.911441i | \(0.634971\pi\) | |||||||
\(570\) | 1.09543e6 | − | 144898.i | 0.141221 | − | 0.0186799i | ||||
\(571\) | 5.73441e6 | − | 4.16629e6i | 0.736035 | − | 0.534761i | −0.155432 | − | 0.987847i | \(-0.549677\pi\) |
0.891467 | + | 0.453086i | \(0.149677\pi\) | |||||||
\(572\) | 4.79522e6 | − | 3.48393e6i | 0.612800 | − | 0.445225i | ||||
\(573\) | −1.80905e6 | − | 5.56769e6i | −0.230178 | − | 0.708416i | ||||
\(574\) | −1.32763e7 | −1.68189 | ||||||||
\(575\) | −648434. | + | 1.26691e7i | −0.0817892 | + | 1.59800i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | −1.75448e6 | − | 5.39973e6i | −0.219386 | − | 0.675200i | −0.998813 | − | 0.0487073i | \(-0.984490\pi\) |
0.779427 | − | 0.626493i | \(-0.215510\pi\) | |||||||
\(578\) | −7.94260e6 | + | 5.77064e6i | −0.988879 | + | 0.718463i | ||||
\(579\) | −2.19288e6 | + | 1.59322e6i | −0.271843 | + | 0.197505i | ||||
\(580\) | 416860. | + | 226007.i | 0.0514542 | + | 0.0278966i | ||||
\(581\) | 1.17099e7 | + | 8.50772e6i | 1.43917 | + | 1.04562i | ||||
\(582\) | 3.64839e6 | 0.446472 | ||||||||
\(583\) | −2.29857e6 | − | 1.67001e6i | −0.280083 | − | 0.203492i | ||||
\(584\) | 769933. | − | 2.36961e6i | 0.0934159 | − | 0.287505i | ||||
\(585\) | −2.32594e6 | + | 2.20993e6i | −0.281001 | + | 0.266987i | ||||
\(586\) | 1.28920e6 | + | 3.96775e6i | 0.155087 | + | 0.477309i | ||||
\(587\) | −1.59149e6 | + | 4.89810e6i | −0.190638 | + | 0.586722i | −1.00000 | 0.000587432i | \(-0.999813\pi\) | |
0.809362 | + | 0.587310i | \(0.199813\pi\) | |||||||
\(588\) | 988629. | − | 3.04269e6i | 0.117921 | − | 0.362923i | ||||
\(589\) | −939550. | − | 2.89164e6i | −0.111592 | − | 0.343444i | ||||
\(590\) | 1.39258e6 | − | 7.53943e6i | 0.164699 | − | 0.891679i | ||||
\(591\) | 1.80991e6 | − | 5.57034e6i | 0.213152 | − | 0.656014i | ||||
\(592\) | −1.45150e6 | − | 1.05457e6i | −0.170221 | − | 0.123672i | ||||
\(593\) | −8.33120e6 | −0.972906 | −0.486453 | − | 0.873707i | \(-0.661709\pi\) | ||||
−0.486453 | + | 0.873707i | \(0.661709\pi\) | |||||||
\(594\) | −1.23338e6 | − | 896107.i | −0.143428 | − | 0.104206i | ||||
\(595\) | −1.57578e7 | + | 1.49719e7i | −1.82475 | + | 1.73375i | ||||
\(596\) | −2.06694e6 | + | 1.50172e6i | −0.238348 | + | 0.173170i | ||||
\(597\) | 1.40826e6 | − | 1.02316e6i | 0.161714 | − | 0.117492i | ||||
\(598\) | 3.55537e6 | + | 1.09423e7i | 0.406567 | + | 1.25128i | ||||
\(599\) | 6.43850e6 | 0.733192 | 0.366596 | − | 0.930380i | \(-0.380523\pi\) | ||||
0.366596 | + | 0.930380i | \(0.380523\pi\) | |||||||
\(600\) | −1.68123e6 | − | 643008.i | −0.190656 | − | 0.0729186i | ||||
\(601\) | 8.56648e6 | 0.967423 | 0.483711 | − | 0.875228i | \(-0.339288\pi\) | ||||
0.483711 | + | 0.875228i | \(0.339288\pi\) | |||||||
\(602\) | −3.51506e6 | − | 1.08182e7i | −0.395314 | − | 1.21665i | ||||
\(603\) | −1.32173e6 | + | 960296.i | −0.148030 | + | 0.107550i | ||||
\(604\) | 482331. | − | 350434.i | 0.0537964 | − | 0.0390854i | ||||
\(605\) | −2.70590e6 | − | 5.66412e6i | −0.300554 | − | 0.629136i | ||||
\(606\) | −1.51959e6 | − | 1.10404e6i | −0.168091 | − | 0.122125i | ||||
\(607\) | 9.15813e6 | 1.00887 | 0.504435 | − | 0.863450i | \(-0.331701\pi\) | ||||
0.504435 | + | 0.863450i | \(0.331701\pi\) | |||||||
\(608\) | 454864. | + | 330478.i | 0.0499026 | + | 0.0362564i | ||||
\(609\) | 291269. | − | 896435.i | 0.0318238 | − | 0.0979434i | ||||
\(610\) | 534550. | + | 1.11895e6i | 0.0581652 | + | 0.121754i | ||||
\(611\) | 1.46578e6 | + | 4.51120e6i | 0.158842 | + | 0.488865i | ||||
\(612\) | −788282. | + | 2.42608e6i | −0.0850752 | + | 0.261835i | ||||
\(613\) | 3.27979e6 | − | 1.00941e7i | 0.352529 | − | 1.08497i | −0.604900 | − | 0.796301i | \(-0.706787\pi\) |
0.957429 | − | 0.288670i | \(-0.0932130\pi\) | |||||||
\(614\) | 2.85274e6 | + | 8.77984e6i | 0.305381 | + | 0.939865i | ||||
\(615\) | 8.38014e6 | − | 1.10848e6i | 0.893437 | − | 0.118179i | ||||
\(616\) | 2.04260e6 | − | 6.28647e6i | 0.216886 | − | 0.667505i | ||||
\(617\) | −5.69471e6 | − | 4.13745e6i | −0.602225 | − | 0.437542i | 0.244443 | − | 0.969664i | \(-0.421395\pi\) |
−0.846668 | + | 0.532121i | \(0.821395\pi\) | |||||||
\(618\) | 1.85627e6 | 0.195511 | ||||||||
\(619\) | −1.08927e7 | − | 7.91400e6i | −1.14264 | − | 0.830175i | −0.155153 | − | 0.987890i | \(-0.549587\pi\) |
−0.987485 | + | 0.157716i | \(0.949587\pi\) | |||||||
\(620\) | −899615. | + | 4.87050e6i | −0.0939891 | + | 0.508855i | ||||
\(621\) | 2.39414e6 | − | 1.73945e6i | 0.249127 | − | 0.181002i | ||||
\(622\) | −8.60668e6 | + | 6.25312e6i | −0.891989 | + | 0.648068i | ||||
\(623\) | −8.34500e6 | − | 2.56833e7i | −0.861402 | − | 2.65112i | ||||
\(624\) | −1.63253e6 | −0.167841 | ||||||||
\(625\) | 7.27323e6 | + | 6.51672e6i | 0.744778 | + | 0.667312i | ||||
\(626\) | 372285. | 0.0379699 | ||||||||
\(627\) | −798367. | − | 2.45712e6i | −0.0811024 | − | 0.249608i | ||||
\(628\) | 3.58527e6 | − | 2.60485e6i | 0.362763 | − | 0.263563i | ||||
\(629\) | 1.11602e7 | − | 8.10833e6i | 1.12472 | − | 0.817156i | ||||
\(630\) | −649883. | + | 3.51846e6i | −0.0652355 | + | 0.353184i | ||||
\(631\) | 6.01279e6 | + | 4.36855e6i | 0.601177 | + | 0.436781i | 0.846297 | − | 0.532712i | \(-0.178827\pi\) |
−0.245119 | + | 0.969493i | \(0.578827\pi\) | |||||||
\(632\) | −3.62050e6 | −0.360558 | ||||||||
\(633\) | 2.88132e6 | + | 2.09340e6i | 0.285813 | + | 0.207655i | ||||
\(634\) | −1.52275e6 | + | 4.68654e6i | −0.150455 | + | 0.463052i | ||||
\(635\) | 9.14904e6 | − | 1.21018e6i | 0.900412 | − | 0.119101i | ||||
\(636\) | 241819. | + | 744244.i | 0.0237055 | + | 0.0729579i | ||||
\(637\) | −4.86461e6 | + | 1.49717e7i | −0.475007 | + | 1.46192i | ||||
\(638\) | 342609. | − | 1.05444e6i | 0.0333232 | − | 0.102558i | ||||
\(639\) | −1.94179e6 | − | 5.97622e6i | −0.188127 | − | 0.578995i | ||||
\(640\) | −394807. | − | 826431.i | −0.0381009 | − | 0.0797548i | ||||
\(641\) | −304755. | + | 937938.i | −0.0292958 | + | 0.0901632i | −0.964635 | − | 0.263588i | \(-0.915094\pi\) |
0.935340 | + | 0.353751i | \(0.115094\pi\) | |||||||
\(642\) | −1.98944e6 | − | 1.44542e6i | −0.190500 | − | 0.138406i | ||||
\(643\) | −1.23129e7 | −1.17445 | −0.587225 | − | 0.809424i | \(-0.699780\pi\) | ||||
−0.587225 | + | 0.809424i | \(0.699780\pi\) | |||||||
\(644\) | 1.03803e7 | + | 7.54172e6i | 0.986268 | + | 0.716565i | ||||
\(645\) | 3.12199e6 | + | 6.53511e6i | 0.295483 | + | 0.618520i | ||||
\(646\) | −3.49733e6 | + | 2.54096e6i | −0.329727 | + | 0.239561i | ||||
\(647\) | 1.30648e7 | − | 9.49214e6i | 1.22699 | − | 0.891463i | 0.230332 | − | 0.973112i | \(-0.426019\pi\) |
0.996661 | + | 0.0816491i | \(0.0260187\pi\) | |||||||
\(648\) | 129757. | + | 399352.i | 0.0121393 | + | 0.0373610i | ||||
\(649\) | −1.79263e7 | −1.67063 | ||||||||
\(650\) | 8.27261e6 | + | 3.16396e6i | 0.767996 | + | 0.293730i | ||||
\(651\) | 9.84515e6 | 0.910479 | ||||||||
\(652\) | −2.78832e6 | − | 8.58156e6i | −0.256876 | − | 0.790582i | ||||
\(653\) | −3.55421e6 | + | 2.58229e6i | −0.326182 | + | 0.236985i | −0.738809 | − | 0.673915i | \(-0.764611\pi\) |
0.412627 | + | 0.910900i | \(0.364611\pi\) | |||||||
\(654\) | −1.74708e6 | + | 1.26933e6i | −0.159723 | + | 0.116046i | ||||
\(655\) | −8.28614e6 | + | 7.87288e6i | −0.754656 | + | 0.717019i | ||||
\(656\) | 3.47975e6 | + | 2.52819e6i | 0.315710 | + | 0.229377i | ||||
\(657\) | 3.15338e6 | 0.285011 | ||||||||
\(658\) | 4.27949e6 | + | 3.10923e6i | 0.385325 | + | 0.279955i | ||||
\(659\) | 3.63934e6 | − | 1.12007e7i | 0.326444 | − | 1.00469i | −0.644340 | − | 0.764739i | \(-0.722868\pi\) |
0.970784 | − | 0.239953i | \(-0.0771322\pi\) | |||||||
\(660\) | −764433. | + | 4.13863e6i | −0.0683093 | + | 0.369825i | ||||
\(661\) | −4.67871e6 | − | 1.43996e7i | −0.416507 | − | 1.28188i | −0.910896 | − | 0.412636i | \(-0.864608\pi\) |
0.494389 | − | 0.869241i | \(-0.335392\pi\) | |||||||
\(662\) | −2.49792e6 | + | 7.68780e6i | −0.221530 | + | 0.681800i | ||||
\(663\) | 3.87879e6 | − | 1.19377e7i | 0.342699 | − | 1.05472i | ||||
\(664\) | −1.44907e6 | − | 4.45978e6i | −0.127547 | − | 0.392549i | ||||
\(665\) | −4.39568e6 | + | 4.17646e6i | −0.385454 | + | 0.366230i | ||||
\(666\) | 701691. | − | 2.15958e6i | 0.0613000 | − | 0.188662i | ||||
\(667\) | 1.74111e6 | + | 1.26499e6i | 0.151534 | + | 0.110096i | ||||
\(668\) | −44692.1 | −0.00387516 | ||||||||
\(669\) | −7.84692e6 | − | 5.70112e6i | −0.677851 | − | 0.492487i | ||||
\(670\) | 3.96487e6 | + | 2.14961e6i | 0.341226 | + | 0.185001i | ||||
\(671\) | 2.34571e6 | − | 1.70426e6i | 0.201126 | − | 0.146126i | ||||
\(672\) | −1.47288e6 | + | 1.07011e6i | −0.125818 | + | 0.0914123i | ||||
\(673\) | −906128. | − | 2.78878e6i | −0.0771173 | − | 0.237343i | 0.905065 | − | 0.425273i | \(-0.139822\pi\) |
−0.982182 | + | 0.187931i | \(0.939822\pi\) | |||||||
\(674\) | 1.51145e6 | 0.128158 | ||||||||
\(675\) | 116447. | − | 2.27515e6i | 0.00983714 | − | 0.192199i | ||||
\(676\) | 2.09226e6 | 0.176096 | ||||||||
\(677\) | 4.80539e6 | + | 1.47895e7i | 0.402955 | + | 1.24017i | 0.922591 | + | 0.385781i | \(0.126068\pi\) |
−0.519635 | + | 0.854388i | \(0.673932\pi\) | |||||||
\(678\) | 4.78663e6 | − | 3.47769e6i | 0.399904 | − | 0.290547i | ||||
\(679\) | −1.61966e7 | + | 1.17675e7i | −1.34818 | + | 0.979513i | ||||
\(680\) | 6.98124e6 | − | 923439.i | 0.578976 | − | 0.0765836i | ||||
\(681\) | 1.04863e6 | + | 761876.i | 0.0866474 | + | 0.0629530i | ||||
\(682\) | 1.15805e7 | 0.953379 | ||||||||
\(683\) | 9.55425e6 | + | 6.94157e6i | 0.783691 | + | 0.569385i | 0.906084 | − | 0.423097i | \(-0.139057\pi\) |
−0.122394 | + | 0.992482i | \(0.539057\pi\) | |||||||
\(684\) | −219893. | + | 676762.i | −0.0179710 | + | 0.0553090i | ||||
\(685\) | 6.52372e6 | + | 3.53693e6i | 0.531213 | + | 0.288005i | ||||
\(686\) | 1.32105e6 | + | 4.06577e6i | 0.107179 | + | 0.329863i | ||||
\(687\) | −1.71829e6 | + | 5.28837e6i | −0.138901 | + | 0.427494i | ||||
\(688\) | −1.13880e6 | + | 3.50486e6i | −0.0917223 | + | 0.282292i | ||||
\(689\) | −1.18989e6 | − | 3.66210e6i | −0.0954901 | − | 0.293888i | ||||
\(690\) | −7.18183e6 | − | 3.89373e6i | −0.574265 | − | 0.311346i | ||||
\(691\) | 1.90081e6 | − | 5.85010e6i | 0.151441 | − | 0.466088i | −0.846342 | − | 0.532640i | \(-0.821200\pi\) |
0.997783 | + | 0.0665521i | \(0.0211999\pi\) | |||||||
\(692\) | 3.30361e6 | + | 2.40021e6i | 0.262255 | + | 0.190539i | ||||
\(693\) | 8.36576e6 | 0.661717 | ||||||||
\(694\) | −1.28030e7 | − | 9.30194e6i | −1.00905 | − | 0.733119i | ||||
\(695\) | −1.46992e7 | + | 1.94433e6i | −1.15434 | + | 0.152689i | ||||
\(696\) | −247049. | + | 179492.i | −0.0193313 | + | 0.0140450i | ||||
\(697\) | −2.67548e7 | + | 1.94385e7i | −2.08603 | + | 1.51559i | ||||
\(698\) | −859888. | − | 2.64646e6i | −0.0668041 | − | 0.205602i | ||||
\(699\) | −3.75067e6 | −0.290346 | ||||||||
\(700\) | 9.53758e6 | − | 2.56808e6i | 0.735687 | − | 0.198091i | ||||
\(701\) | −2.27525e7 | −1.74878 | −0.874389 | − | 0.485226i | \(-0.838737\pi\) | ||||
−0.874389 | + | 0.485226i | \(0.838737\pi\) | |||||||
\(702\) | −638480. | − | 1.96504e6i | −0.0488995 | − | 0.150497i | ||||
\(703\) | 3.11315e6 | − | 2.26184e6i | 0.237581 | − | 0.172613i | ||||
\(704\) | −1.73249e6 | + | 1.25873e6i | −0.131747 | + | 0.0957195i | ||||
\(705\) | −2.96086e6 | − | 1.60527e6i | −0.224360 | − | 0.121640i | ||||
\(706\) | −1.17227e7 | − | 8.51701e6i | −0.885145 | − | 0.643096i | ||||
\(707\) | 1.03070e7 | 0.775503 | ||||||||
\(708\) | 3.99446e6 | + | 2.90215e6i | 0.299485 | + | 0.217589i | ||||
\(709\) | 3.08051e6 | − | 9.48084e6i | 0.230148 | − | 0.708323i | −0.767580 | − | 0.640953i | \(-0.778539\pi\) |
0.997728 | − | 0.0673699i | \(-0.0214608\pi\) | |||||||
\(710\) | −1.25757e7 | + | 1.19485e7i | −0.936235 | + | 0.889542i | ||||
\(711\) | −1.41598e6 | − | 4.35792e6i | −0.105047 | − | 0.323300i | ||||
\(712\) | −2.70358e6 | + | 8.32076e6i | −0.199866 | + | 0.615125i | ||||
\(713\) | −6.94641e6 | + | 2.13789e7i | −0.511725 | + | 1.57493i | ||||
\(714\) | −4.32559e6 | − | 1.33128e7i | −0.317541 | − | 0.977292i | ||||
\(715\) | 3.76144e6 | − | 2.03644e7i | 0.275163 | − | 1.48972i | ||||
\(716\) | −3.94779e6 | + | 1.21501e7i | −0.287787 | + | 0.885718i | ||||
\(717\) | 873103. | + | 634346.i | 0.0634260 | + | 0.0460817i | ||||
\(718\) | −1.02118e7 | −0.739248 | ||||||||
\(719\) | 2.07402e6 | + | 1.50686e6i | 0.149620 | + | 0.108705i | 0.660077 | − | 0.751198i | \(-0.270524\pi\) |
−0.510457 | + | 0.859903i | \(0.670524\pi\) | |||||||
\(720\) | 840350. | − | 798439.i | 0.0604128 | − | 0.0573998i | ||||
\(721\) | −8.24069e6 | + | 5.98721e6i | −0.590372 | + | 0.428930i | ||||
\(722\) | 7.03724e6 | − | 5.11285e6i | 0.502411 | − | 0.365023i | ||||
\(723\) | 4.43334e6 | + | 1.36444e7i | 0.315417 | + | 0.970755i | ||||
\(724\) | 7.63366e6 | 0.541235 | ||||||||
\(725\) | 1.59976e6 | − | 430750.i | 0.113034 | − | 0.0304355i | ||||
\(726\) | 4.04249e6 | 0.284647 | ||||||||
\(727\) | 1.17074e6 | + | 3.60316e6i | 0.0821530 | + | 0.252841i | 0.983693 | − | 0.179854i | \(-0.0575626\pi\) |
−0.901540 | + | 0.432695i | \(0.857563\pi\) | |||||||
\(728\) | 7.24739e6 | − | 5.26554e6i | 0.506820 | − | 0.368226i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −3.75246e6 | − | 7.85484e6i | −0.260621 | − | 0.545544i | ||||
\(731\) | −2.29232e7 | − | 1.66547e7i | −1.58665 | − | 1.15277i | ||||
\(732\) | −798593. | −0.0550868 | ||||||||
\(733\) | −2.29938e6 | − | 1.67060e6i | −0.158071 | − | 0.114845i | 0.505938 | − | 0.862570i | \(-0.331146\pi\) |
−0.664009 | + | 0.747725i | \(0.731146\pi\) | |||||||
\(734\) | −4.60106e6 | + | 1.41606e7i | −0.315223 | + | 0.970156i | ||||
\(735\) | −4.81833e6 | − | 1.00860e7i | −0.328987 | − | 0.688651i | ||||
\(736\) | −1.28454e6 | − | 3.95341e6i | −0.0874083 | − | 0.269015i | ||||
\(737\) | 3.25865e6 | − | 1.00291e7i | 0.220988 | − | 0.680131i | ||||
\(738\) | −1.68220e6 | + | 5.17728e6i | −0.113694 | + | 0.349914i | ||||
\(739\) | 255279. | + | 785667.i | 0.0171951 | + | 0.0529209i | 0.959286 | − | 0.282437i | \(-0.0911428\pi\) |
−0.942091 | + | 0.335358i | \(0.891143\pi\) | |||||||
\(740\) | −6.21437e6 | + | 822002.i | −0.417175 | + | 0.0551815i | ||||
\(741\) | 1.08200e6 | − | 3.33005e6i | 0.0723904 | − | 0.222795i | ||||
\(742\) | −3.47401e6 | − | 2.52401e6i | −0.231644 | − | 0.168299i | ||||
\(743\) | −2.53458e7 | −1.68435 | −0.842177 | − | 0.539202i | \(-0.818726\pi\) | ||||
−0.842177 | + | 0.539202i | \(0.818726\pi\) | |||||||
\(744\) | −2.58044e6 | − | 1.87480e6i | −0.170907 | − | 0.124172i | ||||
\(745\) | −1.62134e6 | + | 8.77789e6i | −0.107024 | + | 0.579428i | ||||
\(746\) | −2.35847e6 | + | 1.71353e6i | −0.155161 | + | 0.112731i | ||||
\(747\) | 4.80143e6 | − | 3.48844e6i | 0.314825 | − | 0.228734i | ||||
\(748\) | −5.08803e6 | − | 1.56594e7i | −0.332503 | − | 1.02334i | ||||
\(749\) | 1.34939e7 | 0.878888 | ||||||||
\(750\) | −5.80580e6 | + | 2.41732e6i | −0.376885 | + | 0.156921i | ||||
\(751\) | 9.92024e6 | 0.641833 | 0.320917 | − | 0.947107i | \(-0.396009\pi\) | ||||
0.320917 | + | 0.947107i | \(0.396009\pi\) | |||||||
\(752\) | −529578. | − | 1.62987e6i | −0.0341496 | − | 0.105102i | ||||
\(753\) | −3.77385e6 | + | 2.74186e6i | −0.242548 | + | 0.176221i | ||||
\(754\) | 1.21562e6 | − | 883200.i | 0.0778699 | − | 0.0565758i | ||||
\(755\) | 378348. | − | 2.04837e6i | 0.0241559 | − | 0.130780i | ||||
\(756\) | −1.86411e6 | − | 1.35436e6i | −0.118623 | − | 0.0861844i | ||||
\(757\) | 7.72740e6 | 0.490110 | 0.245055 | − | 0.969509i | \(-0.421194\pi\) | ||||
0.245055 | + | 0.969509i | \(0.421194\pi\) | |||||||
\(758\) | 4.01458e6 | + | 2.91676e6i | 0.253785 | + | 0.184386i | ||||
\(759\) | −5.90260e6 | + | 1.81663e7i | −0.371911 | + | 1.14462i | ||||
\(760\) | 1.94743e6 | − | 257596.i | 0.122301 | − | 0.0161772i | ||||
\(761\) | −3.30177e6 | − | 1.01618e7i | −0.206674 | − | 0.636076i | −0.999641 | − | 0.0268115i | \(-0.991465\pi\) |
0.792967 | − | 0.609265i | \(-0.208535\pi\) | |||||||
\(762\) | −1.83655e6 | + | 5.65231e6i | −0.114582 | + | 0.352646i | ||||
\(763\) | 3.66186e6 | − | 1.12700e7i | 0.227714 | − | 0.700832i | ||||
\(764\) | −3.21609e6 | − | 9.89811e6i | −0.199340 | − | 0.613506i | ||||
\(765\) | 3.84189e6 | + | 8.04203e6i | 0.237351 | + | 0.496835i | ||||
\(766\) | 1.55255e6 | − | 4.77826e6i | 0.0956035 | − | 0.294237i | ||||
\(767\) | −1.96550e7 | − | 1.42802e7i | −1.20638 | − | 0.876488i | ||||
\(768\) | 589824. | 0.0360844 | ||||||||
\(769\) | 2.22976e7 | + | 1.62002e7i | 1.35970 | + | 0.987880i | 0.998464 | + | 0.0554053i | \(0.0176451\pi\) |
0.361236 | + | 0.932474i | \(0.382355\pi\) | |||||||
\(770\) | −9.95510e6 | − | 2.08385e7i | −0.605088 | − | 1.26660i | ||||
\(771\) | −6.51904e6 | + | 4.73636e6i | −0.394955 | + | 0.286952i | ||||
\(772\) | −3.89844e6 | + | 2.83239e6i | −0.235423 | + | 0.171045i | ||||
\(773\) | −9.41382e6 | − | 2.89728e7i | −0.566653 | − | 1.74398i | −0.662988 | − | 0.748630i | \(-0.730712\pi\) |
0.0963345 | − | 0.995349i | \(-0.469288\pi\) | |||||||
\(774\) | −4.66411e6 | −0.279844 | ||||||||
\(775\) | 9.44253e6 | + | 1.45014e7i | 0.564721 | + | 0.867272i | ||||
\(776\) | 6.48603e6 | 0.386656 | ||||||||
\(777\) | 3.85044e6 | + | 1.18504e7i | 0.228801 | + | 0.704177i | ||||
\(778\) | −1.21209e6 | + | 880634.i | −0.0717936 | + | 0.0521611i | ||||
\(779\) | −7.46333e6 | + | 5.42242e6i | −0.440645 | + | 0.320147i | ||||
\(780\) | −4.13500e6 | + | 3.92877e6i | −0.243354 | + | 0.231217i | ||||
\(781\) | 3.28130e7 | + | 2.38401e7i | 1.92495 | + | 1.39856i | ||||
\(782\) | 3.19609e7 | 1.86897 | ||||||||
\(783\) | −312671. | − | 227169.i | −0.0182257 | − | 0.0132417i | ||||
\(784\) | 1.75756e6 | − | 5.40922e6i | 0.102122 | − | 0.314300i | ||||
\(785\) | 2.81234e6 | − | 1.52260e7i | 0.162890 | − | 0.881882i | ||||
\(786\) | −2.27458e6 | − | 7.00045e6i | −0.131324 | − | 0.404175i | ||||
\(787\) | −3.50226e6 | + | 1.07788e7i | −0.201563 | + | 0.620348i | 0.798274 | + | 0.602295i | \(0.205747\pi\) |
−0.999837 | + | 0.0180532i | \(0.994253\pi\) | |||||||
\(788\) | 3.21763e6 | − | 9.90283e6i | 0.184595 | − | 0.568125i | ||||
\(789\) | 4.15842e6 | + | 1.27983e7i | 0.237813 | + | 0.731914i | ||||
\(790\) | −9.17030e6 | + | 8.71295e6i | −0.522776 | + | 0.496704i | ||||
\(791\) | −1.00327e7 | + | 3.08776e7i | −0.570135 | + | 1.75470i | ||||
\(792\) | −2.19268e6 | − | 1.59308e6i | −0.124212 | − | 0.0902452i | ||||
\(793\) | 3.92953e6 | 0.221900 | ||||||||
\(794\) | −8.95331e6 | − | 6.50496e6i | −0.504002 | − | 0.366179i | ||||
\(795\) | 2.40357e6 | + | 1.30313e6i | 0.134877 | + | 0.0731257i | ||||
\(796\) | 2.50357e6 | − | 1.81895e6i | 0.140048 | − | 0.101751i | ||||
\(797\) | −1.21873e7 | + | 8.85462e6i | −0.679615 | + | 0.493770i | −0.873230 | − | 0.487308i | \(-0.837979\pi\) |
0.193615 | + | 0.981078i | \(0.437979\pi\) | |||||||
\(798\) | −1.20664e6 | − | 3.71364e6i | −0.0670763 | − | 0.206439i | ||||
\(799\) | 1.31766e7 | 0.730189 | ||||||||
\(800\) | −2.98886e6 | − | 1.14312e6i | −0.165113 | − | 0.0631493i | ||||
\(801\) | −1.10729e7 | −0.609791 | ||||||||
\(802\) | 5.83511e6 | + | 1.79586e7i | 0.320341 | + | 0.985910i | ||||
\(803\) | −1.64665e7 | + | 1.19636e7i | −0.901183 | + | 0.654748i | ||||
\(804\) | −2.34975e6 | + | 1.70719e6i | −0.128198 | + | 0.0931413i | ||||
\(805\) | 4.44417e7 | − | 5.87849e6i | 2.41713 | − | 0.319725i | ||||
\(806\) | 1.26972e7 | + | 9.22506e6i | 0.688447 | + | 0.500186i | ||||
\(807\) | −1.45020e7 | −0.783872 | ||||||||
\(808\) | −2.70149e6 | − | 1.96275e6i | −0.145571 | − | 0.105763i | ||||
\(809\) | −9.50281e6 | + | 2.92467e7i | −0.510483 | + | 1.57110i | 0.280871 | + | 0.959745i | \(0.409377\pi\) |
−0.791354 | + | 0.611358i | \(0.790623\pi\) | |||||||
\(810\) | 1.28973e6 | + | 699244.i | 0.0690693 | + | 0.0374469i | ||||
\(811\) | −6.72384e6 | − | 2.06938e7i | −0.358976 | − | 1.10481i | −0.953668 | − | 0.300860i | \(-0.902726\pi\) |
0.594693 | − | 0.803953i | \(-0.297274\pi\) | |||||||
\(812\) | 517812. | − | 1.59366e6i | 0.0275602 | − | 0.0848215i | ||||
\(813\) | −5.50740e6 | + | 1.69500e7i | −0.292227 | + | 0.899382i | ||||
\(814\) | 4.52913e6 | + | 1.39392e7i | 0.239582 | + | 0.737356i | ||||
\(815\) | −2.77145e7 | − | 1.50258e7i | −1.46155 | − | 0.792400i | ||||
\(816\) | −1.40139e6 | + | 4.31303e6i | −0.0736773 | + | 0.226755i | ||||
\(817\) | −6.39449e6 | − | 4.64587e6i | −0.335159 | − | 0.243507i | ||||
\(818\) | −2.29489e7 | −1.19916 | ||||||||
\(819\) | 9.17248e6 | + | 6.66420e6i | 0.477834 | + | 0.347167i | ||||
\(820\) | 1.48980e7 | − | 1.97063e6i | 0.773739 | − | 0.102346i | ||||
\(821\) | 2.19663e7 | − | 1.59595e7i | 1.13736 | − | 0.826343i | 0.150614 | − | 0.988593i | \(-0.451875\pi\) |
0.986750 | + | 0.162249i | \(0.0518748\pi\) | |||||||
\(822\) | −3.86623e6 | + | 2.80898e6i | −0.199576 | + | 0.145001i | ||||
\(823\) | −6.88480e6 | − | 2.11892e7i | −0.354317 | − | 1.09047i | −0.956405 | − | 0.292045i | \(-0.905664\pi\) |
0.602088 | − | 0.798430i | \(-0.294336\pi\) | |||||||
\(824\) | 3.30004e6 | 0.169317 | ||||||||
\(825\) | 8.02363e6 | + | 1.23223e7i | 0.410427 | + | 0.630315i | ||||
\(826\) | −2.70935e7 | −1.38170 | ||||||||
\(827\) | −3.08700e6 | − | 9.50080e6i | −0.156954 | − | 0.483055i | 0.841400 | − | 0.540413i | \(-0.181732\pi\) |
−0.998354 | + | 0.0573587i | \(0.981732\pi\) | |||||||
\(828\) | 4.25626e6 | − | 3.09235e6i | 0.215751 | − | 0.156752i | ||||
\(829\) | −7.49293e6 | + | 5.44393e6i | −0.378674 | + | 0.275123i | −0.760798 | − | 0.648988i | \(-0.775192\pi\) |
0.382125 | + | 0.924111i | \(0.375192\pi\) | |||||||
\(830\) | −1.44031e7 | − | 7.80884e6i | −0.725705 | − | 0.393451i | ||||
\(831\) | 2.07094e6 | + | 1.50463e6i | 0.104032 | + | 0.0755835i | ||||
\(832\) | −2.90227e6 | −0.145355 | ||||||||
\(833\) | 3.53786e7 | + | 2.57040e7i | 1.76656 | + | 1.28348i | ||||
\(834\) | 2.95068e6 | − | 9.08125e6i | 0.146895 | − | 0.452096i | ||||
\(835\) | −113200. | + | 107554.i | −0.00561863 | + | 0.00533841i | ||||
\(836\) | −1.41932e6 | − | 4.36822e6i | −0.0702368 | − | 0.216167i | ||||
\(837\) | 1.24745e6 | − | 3.83926e6i | 0.0615474 | − | 0.189423i | ||||
\(838\) | 4.73370e6 | − | 1.45688e7i | 0.232858 | − | 0.716663i | ||||
\(839\) | −1.46070e6 | − | 4.49557e6i | −0.0716401 | − | 0.220485i | 0.908825 | − | 0.417177i | \(-0.136980\pi\) |
−0.980465 | + | 0.196691i | \(0.936980\pi\) | |||||||
\(840\) | −1.15535e6 | + | 6.25503e6i | −0.0564956 | + | 0.305866i | ||||
\(841\) | −6.25144e6 | + | 1.92400e7i | −0.304783 | + | 0.938024i | ||||
\(842\) | 4.05728e6 | + | 2.94779e6i | 0.197222 | + | 0.143290i | ||||
\(843\) | 2.01117e7 | 0.974718 | ||||||||
\(844\) | 5.12235e6 | + | 3.72160e6i | 0.247522 | + | 0.179835i | ||||
\(845\) | 5.29945e6 | − | 5.03515e6i | 0.255322 | − | 0.242589i | ||||
\(846\) | 1.75473e6 | − | 1.27489e6i | 0.0842917 | − | 0.0612415i | ||||
\(847\) | −1.79461e7 | + | 1.30386e7i | −0.859532 | + | 0.624487i | ||||
\(848\) | 429901. | + | 1.32310e6i | 0.0205295 | + | 0.0631834i | ||||
\(849\) | 2.45261e6 | 0.116778 | ||||||||
\(850\) | 1.54604e7 | − | 1.91397e7i | 0.733960 | − | 0.908634i | ||||
\(851\) | −2.84501e7 | −1.34667 | ||||||||
\(852\) | −3.45208e6 | − | 1.06244e7i | −0.162923 | − | 0.501424i | ||||
\(853\) | 2.12613e7 | − | 1.54472e7i | 1.00050 | − | 0.726906i | 0.0383050 | − | 0.999266i | \(-0.487804\pi\) |
0.962195 | + | 0.272360i | \(0.0878042\pi\) | |||||||
\(854\) | 3.54525e6 | − | 2.57578e6i | 0.166342 | − | 0.120855i | ||||
\(855\) | 1.07170e6 | + | 2.24334e6i | 0.0501371 | + | 0.104950i | ||||
\(856\) | −3.53679e6 | − | 2.56963e6i | −0.164977 | − | 0.119863i | ||||
\(857\) | 4.14445e7 | 1.92759 | 0.963795 | − | 0.266643i | \(-0.0859144\pi\) | ||||
0.963795 | + | 0.266643i | \(0.0859144\pi\) | |||||||
\(858\) | 1.07892e7 | + | 7.83884e6i | 0.500349 | + | 0.363525i | ||||
\(859\) | 1.19934e7 | − | 3.69117e7i | 0.554572 | − | 1.70680i | −0.142500 | − | 0.989795i | \(-0.545514\pi\) |
0.697072 | − | 0.717001i | \(-0.254486\pi\) | |||||||
\(860\) | 5.55021e6 | + | 1.16180e7i | 0.255896 | + | 0.535654i | ||||
\(861\) | −9.23086e6 | − | 2.84097e7i | −0.424360 | − | 1.30605i | ||||
\(862\) | −7.59642e6 | + | 2.33794e7i | −0.348210 | + | 1.07168i | ||||
\(863\) | −5.75723e6 | + | 1.77189e7i | −0.263140 | + | 0.809861i | 0.728976 | + | 0.684539i | \(0.239996\pi\) |
−0.992116 | + | 0.125322i | \(0.960004\pi\) | |||||||
\(864\) | 230680. | + | 709960.i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | 1.41439e7 | − | 1.87088e6i | 0.642732 | − | 0.0850169i | ||||
\(866\) | 9.15561e6 | − | 2.81781e7i | 0.414851 | − | 1.27678i | ||||
\(867\) | −1.78709e7 | − | 1.29839e7i | −0.807416 | − | 0.586622i | ||||
\(868\) | 1.75025e7 | 0.788498 | ||||||||
\(869\) | 2.39276e7 | + | 1.73844e7i | 1.07486 | + | 0.780928i | ||||
\(870\) | −193789. | + | 1.04917e6i | −0.00868022 | + | 0.0469946i | ||||
\(871\) | 1.15621e7 | − | 8.40035e6i | 0.516406 | − | 0.375191i | ||||
\(872\) | −3.10592e6 | + | 2.25658e6i | −0.138324 | + | 0.100499i | ||||
\(873\) | 2.53669e6 | + | 7.80711e6i | 0.112650 | + | 0.346701i | ||||
\(874\) | 8.91558e6 | 0.394794 | ||||||||
\(875\) | 1.79773e7 | − | 2.94574e7i | 0.793788 | − | 1.30069i | ||||
\(876\) | 5.60600e6 | 0.246827 | ||||||||
\(877\) | −8.89454e6 | − | 2.73746e7i | −0.390503 | − | 1.20185i | −0.932409 | − | 0.361406i | \(-0.882297\pi\) |
0.541906 | − | 0.840439i | \(-0.317703\pi\) | |||||||
\(878\) | −1.10090e7 | + | 7.99848e6i | −0.481959 | + | 0.350164i | ||||
\(879\) | −7.59412e6 | + | 5.51745e6i | −0.331517 | + | 0.240861i | ||||
\(880\) | −1.35899e6 | + | 7.35756e6i | −0.0591576 | + | 0.320278i | ||||
\(881\) | 1.56908e7 | + | 1.14000e7i | 0.681089 | + | 0.494840i | 0.873719 | − | 0.486431i | \(-0.161702\pi\) |
−0.192630 | + | 0.981272i | \(0.561702\pi\) | |||||||
\(882\) | 7.19836e6 | 0.311575 | ||||||||
\(883\) | 2.75683e7 | + | 2.00295e7i | 1.18989 | + | 0.864507i | 0.993253 | − | 0.115969i | \(-0.0369973\pi\) |
0.196639 | + | 0.980476i | \(0.436997\pi\) | |||||||
\(884\) | 6.89563e6 | − | 2.12226e7i | 0.296786 | − | 0.913413i | ||||
\(885\) | 1.71017e7 | − | 2.26212e6i | 0.733975 | − | 0.0970860i | ||||
\(886\) | −4.51637e6 | − | 1.39000e7i | −0.193288 | − | 0.594880i | ||||
\(887\) | −1.69166e6 | + | 5.20641e6i | −0.0721947 | + | 0.222192i | −0.980643 | − | 0.195805i | \(-0.937268\pi\) |
0.908448 | + | 0.417998i | \(0.137268\pi\) | |||||||
\(888\) | 1.24745e6 | − | 3.83926e6i | 0.0530874 | − | 0.163386i | ||||
\(889\) | −1.00778e7 | − | 3.10163e7i | −0.427673 | − | 1.31624i | ||||
\(890\) | 1.31766e7 | + | 2.75819e7i | 0.557606 | + | 1.16721i | ||||
\(891\) | 1.06000e6 | − | 3.26234e6i | 0.0447313 | − | 0.137669i | ||||
\(892\) | −1.39501e7 | − | 1.01353e7i | −0.587036 | − | 0.426507i | ||||
\(893\) | 3.67563e6 | 0.154242 | ||||||||
\(894\) | −4.65061e6 | − | 3.37887e6i | −0.194610 | − | 0.141393i | ||||
\(895\) | 1.92405e7 | + | 4.02753e7i | 0.802897 | + | 1.68066i | ||||
\(896\) | −2.61845e6 | + | 1.90242e6i | −0.108962 | + | 0.0791654i | ||||
\(897\) | −2.09432e7 | + | 1.52161e7i | −0.869084 | + | 0.631426i | ||||
\(898\) | 5.52306e6 | + | 1.69982e7i | 0.228554 | + | 0.703417i | ||||
\(899\) | 2.93573e6 | 0.121148 | ||||||||
\(900\) | 207017. | − | 4.04471e6i | 0.00851921 | − | 0.166449i | ||||
\(901\) | −1.06965e7 | −0.438964 | ||||||||
\(902\) | −1.08579e7 | − | 3.34172e7i | −0.444355 | − | 1.36758i | ||||
\(903\) | 2.07057e7 | − | 1.50436e7i | 0.845029 | − | 0.613949i | ||||
\(904\) | 8.50957e6 | − | 6.18257e6i | 0.346327 | − | 0.251621i | ||||
\(905\) | 1.93352e7 | − | 1.83709e7i | 0.784741 | − | 0.745603i | ||||
\(906\) | 1.08525e6 | + | 788477.i | 0.0439246 | + | 0.0319131i | ||||
\(907\) | 2.51321e7 | 1.01441 | 0.507203 | − | 0.861827i | \(-0.330680\pi\) | ||||
0.507203 | + | 0.861827i | \(0.330680\pi\) | |||||||
\(908\) | 1.86423e6 | + | 1.35445e6i | 0.0750388 | + | 0.0545189i | ||||
\(909\) | 1.30597e6 | − | 4.01936e6i | 0.0524231 | − | 0.161342i | ||||
\(910\) | 5.68496e6 | − | 3.07783e7i | 0.227575 | − | 1.23209i | ||||
\(911\) | 3.01546e6 | + | 9.28063e6i | 0.120381 | + | 0.370494i | 0.993031 | − | 0.117851i | \(-0.0376006\pi\) |
−0.872650 | + | 0.488346i | \(0.837601\pi\) | |||||||
\(912\) | −390921. | + | 1.20313e6i | −0.0155633 | + | 0.0478990i | ||||
\(913\) | −1.18376e7 | + | 3.64324e7i | −0.469988 | + | 1.44647i | ||||
\(914\) | 834285. | + | 2.56767e6i | 0.0330331 | + | 0.101665i | ||||
\(915\) | −2.02274e6 | + | 1.92186e6i | −0.0798707 | + | 0.0758873i | ||||
\(916\) | −3.05475e6 | + | 9.40154e6i | −0.120292 | + | 0.370220i | ||||
\(917\) | 3.26769e7 | + | 2.37412e7i | 1.28327 | + | 0.932350i | ||||
\(918\) | −5.73960e6 | −0.224789 | ||||||||
\(919\) | −2.70968e7 | − | 1.96869e7i | −1.05835 | − | 0.768935i | −0.0845660 | − | 0.996418i | \(-0.526950\pi\) |
−0.973782 | + | 0.227483i | \(0.926950\pi\) | |||||||
\(920\) | −1.27677e7 | − | 6.92219e6i | −0.497328 | − | 0.269634i | ||||
\(921\) | −1.68043e7 | + | 1.22090e7i | −0.652786 | + | 0.474277i | ||||
\(922\) | −7.04597e6 | + | 5.11920e6i | −0.272969 | + | 0.198324i | ||||
\(923\) | 1.69862e7 | + | 5.22780e7i | 0.656283 | + | 2.01983i | ||||
\(924\) | 1.48725e7 | 0.573064 | ||||||||
\(925\) | −1.37621e7 | + | 1.70373e7i | −0.528847 | + | 0.654706i | ||||
\(926\) | −602851. | −0.0231038 | ||||||||
\(927\) | 1.29064e6 | + | 3.97219e6i | 0.0493296 | + | 0.151821i | ||||
\(928\) | −439198. | + | 319096.i | −0.0167414 | + | 0.0121633i | ||||
\(929\) | −1.23035e7 | + | 8.93902e6i | −0.467724 | + | 0.339821i | −0.796554 | − | 0.604568i | \(-0.793346\pi\) |
0.328830 | + | 0.944389i | \(0.393346\pi\) | |||||||
\(930\) | −1.10478e7 | + | 1.46133e6i | −0.418858 | + | 0.0554042i | ||||
\(931\) | 9.86894e6 | + | 7.17021e6i | 0.373161 | + | 0.271117i | ||||
\(932\) | −6.66785e6 | −0.251447 | ||||||||
\(933\) | −1.93650e7 | − | 1.40695e7i | −0.728306 | − | 0.529145i | ||||
\(934\) | 2.52630e6 | − | 7.77515e6i | 0.0947584 | − | 0.291636i | ||||
\(935\) | −5.05726e7 | − | 2.74187e7i | −1.89185 | − | 1.02569i | ||||
\(936\) | −1.13508e6 | − | 3.49340e6i | −0.0423482 | − | 0.130334i | ||||
\(937\) | 8.78445e6 | − | 2.70357e7i | 0.326863 | − | 1.00598i | −0.643730 | − | 0.765253i | \(-0.722614\pi\) |
0.970593 | − | 0.240727i | \(-0.0773860\pi\) | |||||||
\(938\) | 4.92505e6 | − | 1.51577e7i | 0.182769 | − | 0.562506i | ||||
\(939\) | 258845. | + | 796643.i | 0.00958023 | + | 0.0294849i | ||||
\(940\) | −5.26375e6 | − | 2.85382e6i | −0.194301 | − | 0.105343i | ||||
\(941\) | 2.03561e6 | − | 6.26496e6i | 0.0749411 | − | 0.230645i | −0.906568 | − | 0.422059i | \(-0.861307\pi\) |
0.981509 | + | 0.191414i | \(0.0613074\pi\) | |||||||
\(942\) | 8.06686e6 | + | 5.86092e6i | 0.296195 | + | 0.215198i | ||||
\(943\) | 6.82049e7 | 2.49768 | ||||||||
\(944\) | 7.10127e6 | + | 5.15937e6i | 0.259362 | + | 0.188437i | ||||
\(945\) | −7.98092e6 | + | 1.05567e6i | −0.290719 | + | 0.0384546i | ||||
\(946\) | 2.43554e7 | − | 1.76952e7i | 0.884845 | − | 0.642877i | ||||
\(947\) | −1.24664e7 | + | 9.05738e6i | −0.451717 | + | 0.328192i | −0.790273 | − | 0.612754i | \(-0.790061\pi\) |
0.338556 | + | 0.940946i | \(0.390061\pi\) | |||||||
\(948\) | −2.51729e6 | − | 7.74742e6i | −0.0909730 | − | 0.279986i | ||||
\(949\) | −2.75847e7 | −0.994266 | ||||||||
\(950\) | 4.31271e6 | − | 5.33908e6i | 0.155039 | − | 0.191936i | ||||
\(951\) | −1.10874e7 | −0.397537 | ||||||||
\(952\) | −7.68995e6 | − | 2.36672e7i | −0.274999 | − | 0.846359i | ||||
\(953\) | 9.58409e6 | − | 6.96325e6i | 0.341837 | − | 0.248359i | −0.403600 | − | 0.914936i | \(-0.632241\pi\) |
0.745436 | + | 0.666577i | \(0.232241\pi\) | |||||||
\(954\) | −1.42446e6 | + | 1.03493e6i | −0.0506732 | + | 0.0368162i | ||||
\(955\) | −3.19664e7 | − | 1.73310e7i | −1.13419 | − | 0.614917i | ||||
\(956\) | 1.55218e6 | + | 1.12773e6i | 0.0549285 | + | 0.0399079i | ||||
\(957\) | 2.49459e6 | 0.0880479 | ||||||||
\(958\) | −3.41578e6 | − | 2.48171e6i | −0.120248 | − | 0.0873649i | ||||
\(959\) | 8.10358e6 | − | 2.49403e7i | 0.284532 | − | 0.875698i | ||||
\(960\) | 1.49396e6 | − | 1.41945e6i | 0.0523190 | − | 0.0497097i | ||||
\(961\) | 628753. | + | 1.93510e6i | 0.0219620 | + | 0.0675920i | ||||
\(962\) | −6.13816e6 | + | 1.88913e7i | −0.213846 | + | 0.658150i | ||||
\(963\) | 1.70977e6 | − | 5.26214e6i | 0.0594118 | − | 0.182851i | ||||
\(964\) | 7.88150e6 | + | 2.42568e7i | 0.273159 | + | 0.840698i | ||||
\(965\) | −3.05800e6 | + | 1.65559e7i | −0.105711 | + | 0.572316i | ||||
\(966\) | −8.92107e6 | + | 2.74562e7i | −0.307591 | + | 0.946668i | ||||
\(967\) | −2.77102e7 | − | 2.01326e7i | −0.952956 | − | 0.692363i | −0.00145172 | − | 0.999999i | \(-0.500462\pi\) |
−0.951504 | + | 0.307636i | \(0.900462\pi\) | |||||||
\(968\) | 7.18665e6 | 0.246512 | ||||||||
\(969\) | −7.86898e6 | − | 5.71715e6i | −0.269221 | − | 0.195601i | ||||
\(970\) | 1.64284e7 | − | 1.56090e7i | 0.560615 | − | 0.532656i | ||||
\(971\) | 3.08919e6 | − | 2.24443e6i | 0.105147 | − | 0.0763937i | −0.533969 | − | 0.845504i | \(-0.679300\pi\) |
0.639116 | + | 0.769110i | \(0.279300\pi\) | |||||||
\(972\) | −764346. | + | 555330.i | −0.0259492 | + | 0.0188532i | ||||
\(973\) | 1.61915e7 | + | 4.98322e7i | 0.548282 | + | 1.68744i | ||||
\(974\) | 2.16009e6 | 0.0729581 | ||||||||
\(975\) | −1.01864e6 | + | 1.99022e7i | −0.0343170 | + | 0.670487i | ||||
\(976\) | −1.41972e6 | −0.0477066 | ||||||||
\(977\) | −2.83455e6 | − | 8.72386e6i | −0.0950054 | − | 0.292397i | 0.892250 | − | 0.451542i | \(-0.149126\pi\) |
−0.987255 | + | 0.159146i | \(0.949126\pi\) | |||||||
\(978\) | 1.64248e7 | − | 1.19333e7i | 0.549102 | − | 0.398946i | ||||
\(979\) | 5.78213e7 | − | 4.20097e7i | 1.92811 | − | 1.40085i | ||||
\(980\) | −8.56592e6 | − | 1.79306e7i | −0.284911 | − | 0.596389i | ||||
\(981\) | −3.93093e6 | − | 2.85599e6i | −0.130413 | − | 0.0947509i | ||||
\(982\) | −2.10096e7 | −0.695247 | ||||||||
\(983\) | −1.65336e7 | − | 1.20123e7i | −0.545736 | − | 0.396501i | 0.280475 | − | 0.959861i | \(-0.409508\pi\) |
−0.826211 | + | 0.563361i | \(0.809508\pi\) | |||||||
\(984\) | −2.99058e6 | + | 9.20406e6i | −0.0984617 | + | 0.303034i | ||||
\(985\) | −1.56819e7 | − | 3.28261e7i | −0.515001 | − | 1.07803i | ||||
\(986\) | −1.28985e6 | − | 3.96975e6i | −0.0422520 | − | 0.130038i | ||||
\(987\) | −3.67790e6 | + | 1.13194e7i | −0.120173 | + | 0.369854i | ||||
\(988\) | 1.92355e6 | − | 5.92009e6i | 0.0626920 | − | 0.192946i | ||||
\(989\) | 1.80581e7 | + | 5.55770e7i | 0.587057 | + | 1.80678i | ||||
\(990\) | −9.38765e6 | + | 1.24175e6i | −0.304417 | + | 0.0402666i | ||||
\(991\) | −4.57772e6 | + | 1.40888e7i | −0.148069 | + | 0.455711i | −0.997393 | − | 0.0721618i | \(-0.977010\pi\) |
0.849323 | + | 0.527873i | \(0.177010\pi\) | |||||||
\(992\) | −4.58744e6 | − | 3.33297e6i | −0.148010 | − | 0.107536i | ||||
\(993\) | −1.81877e7 | −0.585336 | ||||||||
\(994\) | 4.95929e7 | + | 3.60314e7i | 1.59204 | + | 1.15668i | ||||
\(995\) | 1.96384e6 | − | 1.06322e7i | 0.0628852 | − | 0.340459i | ||||
\(996\) | 8.53587e6 | − | 6.20167e6i | 0.272646 | − | 0.198089i | ||||
\(997\) | 3.26641e7 | − | 2.37319e7i | 1.04072 | − | 0.756126i | 0.0702924 | − | 0.997526i | \(-0.477607\pi\) |
0.970426 | + | 0.241401i | \(0.0776068\pi\) | |||||||
\(998\) | 7.89809e6 | + | 2.43078e7i | 0.251013 | + | 0.772538i | ||||
\(999\) | 5.10912e6 | 0.161969 |
(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 | 150.6.g.b.31.3 | ✓ | 24 | |
25.21 | even | 5 | inner | 150.6.g.b.121.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.b.31.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
150.6.g.b.121.3 | yes | 24 | 25.21 | even | 5 | inner |