Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.9 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.5.h.a.3.9 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.597906 | + | 1.24156i | 0.149476 | + | 0.310391i | 0.962240 | − | 0.272203i | \(-0.0877522\pi\) |
−0.812763 | + | 0.582594i | \(0.802038\pi\) | |||||||
\(3\) | 8.51855 | − | 0.638377i | 0.946506 | − | 0.0709308i | 0.407475 | − | 0.913217i | \(-0.366409\pi\) |
0.539031 | + | 0.842286i | \(0.318790\pi\) | |||||||
\(4\) | 8.79185 | − | 11.0246i | 0.549490 | − | 0.689039i | ||||
\(5\) | −9.70706 | − | 31.4695i | −0.388282 | − | 1.25878i | −0.913159 | − | 0.407603i | \(-0.866365\pi\) |
0.524877 | − | 0.851178i | \(-0.324111\pi\) | |||||||
\(6\) | 5.88588 | + | 10.1946i | 0.163497 | + | 0.283184i | ||||
\(7\) | −17.8087 | − | 10.2819i | −0.363443 | − | 0.209834i | 0.307147 | − | 0.951662i | \(-0.400626\pi\) |
−0.670590 | + | 0.741828i | \(0.733959\pi\) | |||||||
\(8\) | 40.4402 | + | 9.23021i | 0.631878 | + | 0.144222i | ||||
\(9\) | −7.93707 | + | 1.19632i | −0.0979885 | + | 0.0147694i | ||||
\(10\) | 33.2675 | − | 30.8677i | 0.332675 | − | 0.308677i | ||||
\(11\) | 73.8724 | + | 92.6330i | 0.610515 | + | 0.765562i | 0.986975 | − | 0.160871i | \(-0.0514302\pi\) |
−0.376460 | + | 0.926433i | \(0.622859\pi\) | |||||||
\(12\) | 67.8560 | − | 99.5264i | 0.471222 | − | 0.691156i | ||||
\(13\) | 106.233 | + | 98.5700i | 0.628599 | + | 0.583254i | 0.928782 | − | 0.370627i | \(-0.120857\pi\) |
−0.300183 | + | 0.953882i | \(0.597048\pi\) | |||||||
\(14\) | 2.11766 | − | 28.2582i | 0.0108044 | − | 0.144175i | ||||
\(15\) | −102.780 | − | 261.878i | −0.456798 | − | 1.16390i | ||||
\(16\) | −37.4849 | − | 164.232i | −0.146425 | − | 0.641531i | ||||
\(17\) | 188.559 | + | 58.1629i | 0.652455 | + | 0.201256i | 0.603274 | − | 0.797534i | \(-0.293863\pi\) |
0.0491811 | + | 0.998790i | \(0.484339\pi\) | |||||||
\(18\) | −6.23092 | − | 9.13909i | −0.0192312 | − | 0.0282071i | ||||
\(19\) | −94.2528 | + | 625.326i | −0.261088 | + | 1.73221i | 0.346585 | + | 0.938019i | \(0.387341\pi\) |
−0.607673 | + | 0.794187i | \(0.707897\pi\) | |||||||
\(20\) | −432.283 | − | 169.658i | −1.08071 | − | 0.424146i | ||||
\(21\) | −158.268 | − | 76.2179i | −0.358884 | − | 0.172830i | ||||
\(22\) | −70.8411 | + | 147.103i | −0.146366 | + | 0.303932i | ||||
\(23\) | 4.42618 | − | 11.2777i | 0.00836707 | − | 0.0213189i | −0.926629 | − | 0.375977i | \(-0.877307\pi\) |
0.934996 | + | 0.354658i | \(0.115403\pi\) | |||||||
\(24\) | 350.384 | + | 52.8119i | 0.608306 | + | 0.0916874i | ||||
\(25\) | −379.705 | + | 258.878i | −0.607527 | + | 0.414205i | ||||
\(26\) | −58.8635 | + | 190.831i | −0.0870762 | + | 0.282294i | ||||
\(27\) | −741.438 | + | 169.228i | −1.01706 | + | 0.232138i | ||||
\(28\) | −269.925 | + | 105.938i | −0.344292 | + | 0.135125i | ||||
\(29\) | 226.023 | + | 16.9381i | 0.268755 | + | 0.0201404i | 0.208426 | − | 0.978038i | \(-0.433166\pi\) |
0.0603291 | + | 0.998179i | \(0.480785\pi\) | |||||||
\(30\) | 263.686 | − | 284.186i | 0.292984 | − | 0.315762i | ||||
\(31\) | −1073.50 | − | 731.903i | −1.11707 | − | 0.761606i | −0.143422 | − | 0.989662i | \(-0.545811\pi\) |
−0.973648 | + | 0.228056i | \(0.926763\pi\) | |||||||
\(32\) | 700.380 | − | 558.534i | 0.683965 | − | 0.545444i | ||||
\(33\) | 688.421 | + | 741.941i | 0.632158 | + | 0.681305i | ||||
\(34\) | 40.5278 | + | 268.884i | 0.0350587 | + | 0.232599i | ||||
\(35\) | −150.695 | + | 660.238i | −0.123016 | + | 0.538970i | ||||
\(36\) | −56.5925 | + | 98.0211i | −0.0436670 | + | 0.0756335i | ||||
\(37\) | 802.059 | − | 463.069i | 0.585872 | − | 0.338254i | −0.177591 | − | 0.984104i | \(-0.556831\pi\) |
0.763464 | + | 0.645851i | \(0.223497\pi\) | |||||||
\(38\) | −832.737 | + | 256.865i | −0.576688 | + | 0.177885i | ||||
\(39\) | 967.878 | + | 771.857i | 0.636343 | + | 0.507467i | ||||
\(40\) | −102.085 | − | 1362.23i | −0.0638032 | − | 0.851395i | ||||
\(41\) | 1125.50 | − | 542.010i | 0.669539 | − | 0.322433i | −0.0680507 | − | 0.997682i | \(-0.521678\pi\) |
0.737590 | + | 0.675249i | \(0.235964\pi\) | |||||||
\(42\) | − | 242.071i | − | 0.137228i | ||||||
\(43\) | −1398.43 | + | 1209.63i | −0.756315 | + | 0.654208i | ||||
\(44\) | 1670.72 | 0.862975 | ||||||||
\(45\) | 114.693 | + | 238.163i | 0.0566386 | + | 0.117611i | ||||
\(46\) | 16.6484 | − | 1.24763i | 0.00786789 | − | 0.000589616i | ||||
\(47\) | 1278.89 | − | 1603.68i | 0.578945 | − | 0.725974i | −0.402987 | − | 0.915206i | \(-0.632028\pi\) |
0.981933 | + | 0.189231i | \(0.0605996\pi\) | |||||||
\(48\) | −424.159 | − | 1375.09i | −0.184097 | − | 0.596827i | ||||
\(49\) | −989.067 | − | 1713.11i | −0.411940 | − | 0.713500i | ||||
\(50\) | −548.441 | − | 316.643i | −0.219376 | − | 0.126657i | ||||
\(51\) | 1643.38 | + | 375.092i | 0.631828 | + | 0.144211i | ||||
\(52\) | 2020.68 | − | 304.569i | 0.747294 | − | 0.112636i | ||||
\(53\) | −1546.63 | + | 1435.06i | −0.550597 | + | 0.510880i | −0.905684 | − | 0.423954i | \(-0.860642\pi\) |
0.355086 | + | 0.934833i | \(0.384451\pi\) | |||||||
\(54\) | −653.418 | − | 819.360i | −0.224080 | − | 0.280988i | ||||
\(55\) | 2198.03 | − | 3223.92i | 0.726623 | − | 1.06576i | ||||
\(56\) | −625.283 | − | 580.178i | −0.199389 | − | 0.185006i | ||||
\(57\) | −403.703 | + | 5387.05i | −0.124255 | + | 1.65806i | ||||
\(58\) | 114.111 | + | 290.750i | 0.0339212 | + | 0.0864297i | ||||
\(59\) | 654.358 | + | 2866.93i | 0.187980 | + | 0.823594i | 0.977680 | + | 0.210101i | \(0.0673791\pi\) |
−0.789700 | + | 0.613493i | \(0.789764\pi\) | |||||||
\(60\) | −3790.73 | − | 1169.29i | −1.05298 | − | 0.324801i | ||||
\(61\) | 1616.88 | + | 2371.53i | 0.434529 | + | 0.637338i | 0.979577 | − | 0.201067i | \(-0.0644410\pi\) |
−0.545048 | + | 0.838405i | \(0.683489\pi\) | |||||||
\(62\) | 266.850 | − | 1770.43i | 0.0694198 | − | 0.460571i | ||||
\(63\) | 153.649 | + | 60.3029i | 0.0387123 | + | 0.0151935i | ||||
\(64\) | −1316.15 | − | 633.826i | −0.321326 | − | 0.154743i | ||||
\(65\) | 2070.74 | − | 4299.93i | 0.490116 | − | 1.01774i | ||||
\(66\) | −509.556 | + | 1298.33i | −0.116978 | + | 0.298055i | ||||
\(67\) | −3628.66 | − | 546.932i | −0.808344 | − | 0.121838i | −0.268148 | − | 0.963378i | \(-0.586412\pi\) |
−0.540196 | + | 0.841539i | \(0.681650\pi\) | |||||||
\(68\) | 2299.01 | − | 1567.44i | 0.497191 | − | 0.338979i | ||||
\(69\) | 30.5052 | − | 98.8954i | 0.00640731 | − | 0.0207720i | ||||
\(70\) | −909.829 | + | 207.662i | −0.185679 | + | 0.0423801i | ||||
\(71\) | −649.113 | + | 254.758i | −0.128767 | + | 0.0505372i | −0.428849 | − | 0.903376i | \(-0.641081\pi\) |
0.300083 | + | 0.953913i | \(0.402986\pi\) | |||||||
\(72\) | −332.019 | − | 24.8814i | −0.0640468 | − | 0.00479964i | ||||
\(73\) | −5063.72 | + | 5457.39i | −0.950219 | + | 1.02409i | 0.0494607 | + | 0.998776i | \(0.484250\pi\) |
−0.999679 | + | 0.0253162i | \(0.991941\pi\) | |||||||
\(74\) | 1054.49 | + | 718.936i | 0.192565 | + | 0.131289i | ||||
\(75\) | −3069.27 | + | 2447.66i | −0.545648 | + | 0.435140i | ||||
\(76\) | 6065.33 | + | 6536.88i | 1.05009 | + | 1.13173i | ||||
\(77\) | −363.131 | − | 2409.22i | −0.0612466 | − | 0.406345i | ||||
\(78\) | −379.610 | + | 1663.18i | −0.0623948 | + | 0.273369i | ||||
\(79\) | −4521.88 | + | 7832.12i | −0.724544 | + | 1.25495i | 0.234617 | + | 0.972088i | \(0.424616\pi\) |
−0.959161 | + | 0.282859i | \(0.908717\pi\) | |||||||
\(80\) | −4804.43 | + | 2773.84i | −0.750693 | + | 0.433413i | ||||
\(81\) | −5586.67 | + | 1723.26i | −0.851496 | + | 0.262652i | ||||
\(82\) | 1345.88 | + | 1073.30i | 0.200161 | + | 0.159623i | ||||
\(83\) | −896.418 | − | 11961.9i | −0.130123 | − | 1.73637i | −0.555642 | − | 0.831422i | \(-0.687527\pi\) |
0.425519 | − | 0.904950i | \(-0.360092\pi\) | |||||||
\(84\) | −2231.74 | + | 1074.75i | −0.316290 | + | 0.152317i | ||||
\(85\) | − | 6498.47i | − | 0.899442i | ||||||
\(86\) | −2337.96 | − | 1012.99i | −0.316111 | − | 0.136965i | ||||
\(87\) | 1936.20 | 0.255807 | ||||||||
\(88\) | 2132.39 | + | 4427.95i | 0.275360 | + | 0.571791i | ||||
\(89\) | 12380.6 | − | 927.795i | 1.56300 | − | 0.117131i | 0.735084 | − | 0.677976i | \(-0.237143\pi\) |
0.827921 | + | 0.560845i | \(0.189524\pi\) | |||||||
\(90\) | −227.119 | + | 284.798i | −0.0280394 | + | 0.0351602i | ||||
\(91\) | −878.392 | − | 2847.68i | −0.106073 | − | 0.343881i | ||||
\(92\) | −85.4184 | − | 147.949i | −0.0100920 | − | 0.0174798i | ||||
\(93\) | −9611.94 | − | 5549.45i | −1.11134 | − | 0.641630i | ||||
\(94\) | 2755.72 | + | 628.976i | 0.311874 | + | 0.0711833i | ||||
\(95\) | 20593.6 | − | 3103.99i | 2.28184 | − | 0.343933i | ||||
\(96\) | 5609.67 | − | 5205.01i | 0.608688 | − | 0.564780i | ||||
\(97\) | −7755.80 | − | 9725.47i | −0.824296 | − | 1.03363i | −0.998800 | − | 0.0489781i | \(-0.984404\pi\) |
0.174504 | − | 0.984657i | \(-0.444168\pi\) | |||||||
\(98\) | 1535.57 | − | 2252.27i | 0.159889 | − | 0.234514i | ||||
\(99\) | −697.149 | − | 646.859i | −0.0711304 | − | 0.0659993i | ||||
\(100\) | −484.269 | + | 6462.12i | −0.0484269 | + | 0.646212i | ||||
\(101\) | −5228.46 | − | 13321.9i | −0.512544 | − | 1.30594i | −0.919714 | − | 0.392589i | \(-0.871579\pi\) |
0.407170 | − | 0.913353i | \(-0.366516\pi\) | |||||||
\(102\) | 516.888 | + | 2264.63i | 0.0496817 | + | 0.217670i | ||||
\(103\) | 10074.5 | + | 3107.58i | 0.949620 | + | 0.292919i | 0.730603 | − | 0.682802i | \(-0.239239\pi\) |
0.219017 | + | 0.975721i | \(0.429715\pi\) | |||||||
\(104\) | 3386.27 | + | 4966.74i | 0.313080 | + | 0.459203i | ||||
\(105\) | −862.222 | + | 5720.47i | −0.0782061 | + | 0.518864i | ||||
\(106\) | −2706.46 | − | 1062.21i | −0.240874 | − | 0.0945360i | ||||
\(107\) | 16168.0 | + | 7786.09i | 1.41217 | + | 0.680067i | 0.975591 | − | 0.219596i | \(-0.0704741\pi\) |
0.436584 | + | 0.899664i | \(0.356188\pi\) | |||||||
\(108\) | −4652.93 | + | 9661.91i | −0.398914 | + | 0.828353i | ||||
\(109\) | 2770.42 | − | 7058.92i | 0.233181 | − | 0.594135i | −0.765609 | − | 0.643306i | \(-0.777562\pi\) |
0.998790 | + | 0.0491703i | \(0.0156577\pi\) | |||||||
\(110\) | 5316.92 | + | 801.397i | 0.439415 | + | 0.0662312i | ||||
\(111\) | 6536.77 | − | 4456.69i | 0.530539 | − | 0.361715i | ||||
\(112\) | −1021.05 | + | 3310.17i | −0.0813977 | + | 0.263885i | ||||
\(113\) | −11794.6 | + | 2692.04i | −0.923689 | + | 0.210826i | −0.657813 | − | 0.753181i | \(-0.728518\pi\) |
−0.265876 | + | 0.964007i | \(0.585661\pi\) | |||||||
\(114\) | −6929.74 | + | 2719.72i | −0.533221 | + | 0.209274i | ||||
\(115\) | −397.870 | − | 29.8162i | −0.0300847 | − | 0.00225453i | ||||
\(116\) | 2173.90 | − | 2342.90i | 0.161556 | − | 0.174116i | ||||
\(117\) | −961.101 | − | 655.268i | −0.0702097 | − | 0.0478682i | ||||
\(118\) | −3168.23 | + | 2526.58i | −0.227538 | + | 0.181455i | ||||
\(119\) | −2759.98 | − | 2974.55i | −0.194900 | − | 0.210052i | ||||
\(120\) | −1739.24 | − | 11539.1i | −0.120780 | − | 0.801324i | ||||
\(121\) | 134.180 | − | 587.880i | 0.00916465 | − | 0.0401530i | ||||
\(122\) | −1977.67 | + | 3425.42i | −0.132872 | + | 0.230141i | ||||
\(123\) | 9241.59 | − | 5335.63i | 0.610853 | − | 0.352676i | ||||
\(124\) | −17507.0 | + | 5400.21i | −1.13860 | + | 0.351210i | ||||
\(125\) | −4259.77 | − | 3397.05i | −0.272625 | − | 0.217411i | ||||
\(126\) | 16.9979 | + | 226.821i | 0.00107066 | + | 0.0142870i | ||||
\(127\) | −12872.4 | + | 6199.01i | −0.798089 | + | 0.384339i | −0.788051 | − | 0.615610i | \(-0.788910\pi\) |
−0.0100380 | + | 0.999950i | \(0.503195\pi\) | |||||||
\(128\) | − | 16346.2i | − | 0.997691i | ||||||
\(129\) | −11140.4 | + | 11197.0i | −0.669453 | + | 0.672857i | ||||
\(130\) | 6576.75 | 0.389157 | ||||||||
\(131\) | 3100.23 | + | 6437.70i | 0.180656 | + | 0.375135i | 0.971556 | − | 0.236809i | \(-0.0761017\pi\) |
−0.790900 | + | 0.611945i | \(0.790387\pi\) | |||||||
\(132\) | 14232.1 | − | 1066.55i | 0.816811 | − | 0.0612115i | ||||
\(133\) | 8108.04 | − | 10167.2i | 0.458366 | − | 0.574773i | ||||
\(134\) | −1490.54 | − | 4832.22i | −0.0830109 | − | 0.269115i | ||||
\(135\) | 12522.7 | + | 21690.0i | 0.687118 | + | 1.19012i | ||||
\(136\) | 7088.52 | + | 4092.56i | 0.383246 | + | 0.221267i | ||||
\(137\) | −8024.78 | − | 1831.60i | −0.427555 | − | 0.0975867i | 0.00332785 | − | 0.999994i | \(-0.498941\pi\) |
−0.430883 | + | 0.902408i | \(0.641798\pi\) | |||||||
\(138\) | 141.024 | − | 21.2560i | 0.00740518 | − | 0.00111615i | ||||
\(139\) | −16177.6 | + | 15010.6i | −0.837305 | + | 0.776906i | −0.976989 | − | 0.213291i | \(-0.931582\pi\) |
0.139684 | + | 0.990196i | \(0.455391\pi\) | |||||||
\(140\) | 5953.99 | + | 7466.07i | 0.303775 | + | 0.380922i | ||||
\(141\) | 9870.54 | − | 14477.4i | 0.496481 | − | 0.728204i | ||||
\(142\) | −704.407 | − | 653.594i | −0.0349339 | − | 0.0324139i | ||||
\(143\) | −1283.14 | + | 17122.3i | −0.0627482 | + | 0.837317i | ||||
\(144\) | 493.994 | + | 1258.68i | 0.0238230 | + | 0.0607000i | ||||
\(145\) | −1660.99 | − | 7277.26i | −0.0790006 | − | 0.346124i | ||||
\(146\) | −9803.32 | − | 3023.92i | −0.459904 | − | 0.141862i | ||||
\(147\) | −9519.03 | − | 13961.9i | −0.440512 | − | 0.646113i | ||||
\(148\) | 1946.42 | − | 12913.6i | 0.0888613 | − | 0.589556i | ||||
\(149\) | −15170.4 | − | 5953.96i | −0.683323 | − | 0.268184i | −0.00181826 | − | 0.999998i | \(-0.500579\pi\) |
−0.681504 | + | 0.731814i | \(0.738674\pi\) | |||||||
\(150\) | −4874.06 | − | 2347.23i | −0.216625 | − | 0.104321i | ||||
\(151\) | −2150.86 | + | 4466.31i | −0.0943319 | + | 0.195882i | −0.942796 | − | 0.333371i | \(-0.891814\pi\) |
0.848464 | + | 0.529254i | \(0.177528\pi\) | |||||||
\(152\) | −9583.49 | + | 24418.3i | −0.414798 | + | 1.05689i | ||||
\(153\) | −1566.19 | − | 236.065i | −0.0669055 | − | 0.0100844i | ||||
\(154\) | 2774.08 | − | 1891.34i | 0.116971 | − | 0.0797494i | ||||
\(155\) | −12612.1 | + | 40887.3i | −0.524956 | + | 1.70186i | ||||
\(156\) | 17018.9 | − | 3884.45i | 0.699329 | − | 0.159617i | ||||
\(157\) | −4172.54 | + | 1637.60i | −0.169278 | + | 0.0664369i | −0.448467 | − | 0.893799i | \(-0.648030\pi\) |
0.279189 | + | 0.960236i | \(0.409935\pi\) | |||||||
\(158\) | −12427.7 | − | 931.330i | −0.497826 | − | 0.0373069i | ||||
\(159\) | −12258.9 | + | 13212.0i | −0.484907 | + | 0.522605i | ||||
\(160\) | −24375.4 | − | 16618.9i | −0.952166 | − | 0.649176i | ||||
\(161\) | −194.780 | + | 155.332i | −0.00751438 | + | 0.00599252i | ||||
\(162\) | −5479.84 | − | 5905.86i | −0.208803 | − | 0.225037i | ||||
\(163\) | 1248.81 | + | 8285.29i | 0.0470024 | + | 0.311841i | 0.999962 | + | 0.00874250i | \(0.00278286\pi\) |
−0.952959 | + | 0.303098i | \(0.901979\pi\) | |||||||
\(164\) | 3919.73 | − | 17173.4i | 0.145736 | − | 0.638513i | ||||
\(165\) | 16666.0 | − | 28866.3i | 0.612157 | − | 1.06029i | ||||
\(166\) | 14315.4 | − | 8265.02i | 0.519504 | − | 0.299936i | ||||
\(167\) | 8204.68 | − | 2530.81i | 0.294190 | − | 0.0907457i | −0.144147 | − | 0.989556i | \(-0.546044\pi\) |
0.438337 | + | 0.898811i | \(0.355568\pi\) | |||||||
\(168\) | −5696.88 | − | 4543.11i | −0.201845 | − | 0.160966i | ||||
\(169\) | −564.920 | − | 7538.33i | −0.0197794 | − | 0.263938i | ||||
\(170\) | 8068.26 | − | 3885.47i | 0.279179 | − | 0.134445i | ||||
\(171\) | − | 5076.01i | − | 0.173592i | ||||||
\(172\) | 1040.97 | + | 26052.0i | 0.0351868 | + | 0.880612i | ||||
\(173\) | 3717.04 | 0.124195 | 0.0620976 | − | 0.998070i | \(-0.480221\pi\) | ||||
0.0620976 | + | 0.998070i | \(0.480221\pi\) | |||||||
\(174\) | 1157.67 | + | 2403.92i | 0.0382371 | + | 0.0794002i | ||||
\(175\) | 9423.79 | − | 706.216i | 0.307716 | − | 0.0230601i | ||||
\(176\) | 12444.2 | − | 15604.5i | 0.401737 | − | 0.503762i | ||||
\(177\) | 7404.37 | + | 24004.4i | 0.236342 | + | 0.766203i | ||||
\(178\) | 8554.32 | + | 14816.5i | 0.269989 | + | 0.467634i | ||||
\(179\) | 24555.6 | + | 14177.2i | 0.766381 | + | 0.442470i | 0.831582 | − | 0.555402i | \(-0.187436\pi\) |
−0.0652013 | + | 0.997872i | \(0.520769\pi\) | |||||||
\(180\) | 3634.02 | + | 829.442i | 0.112161 | + | 0.0256001i | ||||
\(181\) | 56507.2 | − | 8517.09i | 1.72483 | − | 0.259977i | 0.789500 | − | 0.613750i | \(-0.210340\pi\) |
0.935331 | + | 0.353773i | \(0.115102\pi\) | |||||||
\(182\) | 3010.38 | − | 2793.22i | 0.0908821 | − | 0.0843262i | ||||
\(183\) | 15287.4 | + | 19169.9i | 0.456492 | + | 0.572422i | ||||
\(184\) | 283.091 | − | 415.218i | 0.00836162 | − | 0.0122643i | ||||
\(185\) | −22358.2 | − | 20745.4i | −0.653271 | − | 0.606147i | ||||
\(186\) | 1142.97 | − | 15251.9i | 0.0330377 | − | 0.440857i | ||||
\(187\) | 8541.53 | + | 21763.5i | 0.244260 | + | 0.622364i | ||||
\(188\) | −6436.14 | − | 28198.6i | −0.182100 | − | 0.797832i | ||||
\(189\) | 14944.0 | + | 4609.62i | 0.418354 | + | 0.129045i | ||||
\(190\) | 16166.9 | + | 23712.4i | 0.447835 | + | 0.656854i | ||||
\(191\) | 9615.59 | − | 63795.3i | 0.263578 | − | 1.74873i | −0.330028 | − | 0.943971i | \(-0.607058\pi\) |
0.593606 | − | 0.804756i | \(-0.297704\pi\) | |||||||
\(192\) | −11616.3 | − | 4559.08i | −0.315113 | − | 0.123673i | ||||
\(193\) | 515.140 | + | 248.078i | 0.0138296 | + | 0.00666000i | 0.440786 | − | 0.897612i | \(-0.354700\pi\) |
−0.426956 | + | 0.904272i | \(0.640414\pi\) | |||||||
\(194\) | 7437.55 | − | 15444.2i | 0.197618 | − | 0.410358i | ||||
\(195\) | 14894.7 | − | 37951.1i | 0.391709 | − | 0.998057i | ||||
\(196\) | −27582.2 | − | 4157.34i | −0.717987 | − | 0.108219i | ||||
\(197\) | −61828.1 | + | 42153.7i | −1.59314 | + | 1.08618i | −0.646964 | + | 0.762520i | \(0.723962\pi\) |
−0.946173 | + | 0.323662i | \(0.895086\pi\) | |||||||
\(198\) | 386.288 | − | 1252.32i | 0.00985328 | − | 0.0319436i | ||||
\(199\) | 51038.4 | − | 11649.2i | 1.28882 | − | 0.294164i | 0.477427 | − | 0.878671i | \(-0.341569\pi\) |
0.811388 | + | 0.584508i | \(0.198712\pi\) | |||||||
\(200\) | −17744.8 | + | 6964.33i | −0.443620 | + | 0.174108i | ||||
\(201\) | −31260.1 | − | 2342.62i | −0.773745 | − | 0.0579842i | ||||
\(202\) | 13413.9 | − | 14456.7i | 0.328739 | − | 0.354297i | ||||
\(203\) | −3851.02 | − | 2625.58i | −0.0934510 | − | 0.0637138i | ||||
\(204\) | 18583.6 | − | 14819.9i | 0.446550 | − | 0.356112i | ||||
\(205\) | −27982.1 | − | 30157.5i | −0.665843 | − | 0.717608i | ||||
\(206\) | 2165.36 | + | 14366.2i | 0.0510264 | + | 0.338538i | ||||
\(207\) | −21.6391 | + | 94.8071i | −0.000505008 | + | 0.00221259i | ||||
\(208\) | 12206.2 | − | 21141.8i | 0.282133 | − | 0.488669i | ||||
\(209\) | −64888.5 | + | 37463.4i | −1.48551 | + | 0.857659i | ||||
\(210\) | −7617.86 | + | 2349.80i | −0.172741 | + | 0.0532834i | ||||
\(211\) | −21743.9 | − | 17340.2i | −0.488397 | − | 0.389483i | 0.348098 | − | 0.937458i | \(-0.386828\pi\) |
−0.836495 | + | 0.547975i | \(0.815399\pi\) | |||||||
\(212\) | 2223.30 | + | 29667.8i | 0.0494682 | + | 0.660107i | ||||
\(213\) | −5366.87 | + | 2584.55i | −0.118294 | + | 0.0569673i | ||||
\(214\) | 24728.9i | 0.539980i | ||||||||
\(215\) | 51641.1 | + | 32265.9i | 1.11717 | + | 0.698018i | ||||
\(216\) | −31545.9 | −0.676138 | ||||||||
\(217\) | 11592.4 | + | 24071.9i | 0.246181 | + | 0.511199i | ||||
\(218\) | 10420.6 | − | 780.912i | 0.219269 | − | 0.0164320i | ||||
\(219\) | −39651.7 | + | 49721.6i | −0.826748 | + | 1.03671i | ||||
\(220\) | −16217.8 | − | 52576.7i | −0.335078 | − | 1.08630i | ||||
\(221\) | 14298.2 | + | 24765.1i | 0.292749 | + | 0.507056i | ||||
\(222\) | 9441.64 | + | 5451.14i | 0.191576 | + | 0.110607i | ||||
\(223\) | 2291.72 | + | 523.070i | 0.0460842 | + | 0.0105184i | 0.245501 | − | 0.969396i | \(-0.421048\pi\) |
−0.199417 | + | 0.979915i | \(0.563905\pi\) | |||||||
\(224\) | −18215.6 | + | 2745.56i | −0.363035 | + | 0.0547187i | ||||
\(225\) | 2704.04 | − | 2508.98i | 0.0534131 | − | 0.0495601i | ||||
\(226\) | −10394.4 | − | 13034.1i | −0.203508 | − | 0.255191i | ||||
\(227\) | −27750.4 | + | 40702.3i | −0.538539 | + | 0.789891i | −0.995002 | − | 0.0998510i | \(-0.968163\pi\) |
0.456464 | + | 0.889742i | \(0.349116\pi\) | |||||||
\(228\) | 55840.9 | + | 51812.8i | 1.07419 | + | 0.996706i | ||||
\(229\) | 3625.78 | − | 48382.6i | 0.0691401 | − | 0.922610i | −0.849519 | − | 0.527559i | \(-0.823108\pi\) |
0.918659 | − | 0.395052i | \(-0.129273\pi\) | |||||||
\(230\) | −200.870 | − | 511.808i | −0.00379716 | − | 0.00967501i | ||||
\(231\) | −4631.34 | − | 20291.2i | −0.0867927 | − | 0.380264i | ||||
\(232\) | 8984.07 | + | 2771.22i | 0.166916 | + | 0.0514867i | ||||
\(233\) | 13147.9 | + | 19284.4i | 0.242183 | + | 0.355217i | 0.928015 | − | 0.372543i | \(-0.121514\pi\) |
−0.685832 | + | 0.727760i | \(0.740562\pi\) | |||||||
\(234\) | 238.909 | − | 1585.06i | 0.00436315 | − | 0.0289476i | ||||
\(235\) | −62881.2 | − | 24679.1i | −1.13864 | − | 0.446882i | ||||
\(236\) | 37359.9 | + | 17991.6i | 0.670782 | + | 0.323031i | ||||
\(237\) | −33520.0 | + | 69605.0i | −0.596771 | + | 1.23921i | ||||
\(238\) | 2042.88 | − | 5205.18i | 0.0360653 | − | 0.0918929i | ||||
\(239\) | 44652.8 | + | 6730.33i | 0.781723 | + | 0.117826i | 0.527766 | − | 0.849390i | \(-0.323030\pi\) |
0.253957 | + | 0.967216i | \(0.418268\pi\) | |||||||
\(240\) | −39156.1 | + | 26696.1i | −0.679793 | + | 0.463475i | ||||
\(241\) | 29531.2 | − | 95737.7i | 0.508448 | − | 1.64835i | −0.229363 | − | 0.973341i | \(-0.573664\pi\) |
0.737811 | − | 0.675007i | \(-0.235860\pi\) | |||||||
\(242\) | 810.117 | − | 184.904i | 0.0138330 | − | 0.00315730i | ||||
\(243\) | 10852.5 | − | 4259.27i | 0.183787 | − | 0.0721312i | ||||
\(244\) | 40360.7 | + | 3024.61i | 0.677920 | + | 0.0508031i | ||||
\(245\) | −44309.9 | + | 47754.8i | −0.738192 | + | 0.795581i | ||||
\(246\) | 12150.1 | + | 8283.82i | 0.200775 | + | 0.136886i | ||||
\(247\) | −71651.2 | + | 57139.9i | −1.17444 | + | 0.936582i | ||||
\(248\) | −36657.1 | − | 39507.0i | −0.596012 | − | 0.642348i | ||||
\(249\) | −15272.4 | − | 101326.i | −0.246324 | − | 1.63426i | ||||
\(250\) | 1670.72 | − | 7319.89i | 0.0267315 | − | 0.117118i | ||||
\(251\) | 16732.1 | − | 28980.9i | 0.265585 | − | 0.460006i | −0.702132 | − | 0.712047i | \(-0.747768\pi\) |
0.967717 | + | 0.252041i | \(0.0811016\pi\) | |||||||
\(252\) | 2015.68 | − | 1163.75i | 0.0317409 | − | 0.0183256i | ||||
\(253\) | 1371.66 | − | 423.102i | 0.0214292 | − | 0.00661003i | ||||
\(254\) | −15392.9 | − | 12275.4i | −0.238591 | − | 0.190270i | ||||
\(255\) | −4148.47 | − | 55357.5i | −0.0637981 | − | 0.851327i | ||||
\(256\) | −763.624 | + | 367.742i | −0.0116520 | + | 0.00561129i | ||||
\(257\) | 127522.i | 1.93072i | 0.260925 | + | 0.965359i | \(0.415972\pi\) | ||||
−0.260925 | + | 0.965359i | \(0.584028\pi\) | |||||||
\(258\) | −20562.7 | − | 7136.72i | −0.308916 | − | 0.107216i | ||||
\(259\) | −19044.8 | −0.283908 | ||||||||
\(260\) | −29199.5 | − | 60633.5i | −0.431946 | − | 0.896945i | ||||
\(261\) | −1814.22 | + | 135.957i | −0.0266324 | + | 0.00199582i | ||||
\(262\) | −6139.17 | + | 7698.27i | −0.0894349 | + | 0.112148i | ||||
\(263\) | 3310.37 | + | 10732.0i | 0.0478592 | + | 0.155156i | 0.976348 | − | 0.216204i | \(-0.0693677\pi\) |
−0.928489 | + | 0.371360i | \(0.878892\pi\) | |||||||
\(264\) | 20991.6 | + | 36358.5i | 0.301188 | + | 0.521673i | ||||
\(265\) | 60173.9 | + | 34741.4i | 0.856873 | + | 0.494716i | ||||
\(266\) | 17471.0 | + | 3987.64i | 0.246919 | + | 0.0563577i | ||||
\(267\) | 104872. | − | 15806.9i | 1.47108 | − | 0.221730i | ||||
\(268\) | −37932.3 | + | 35196.1i | −0.528129 | + | 0.490032i | ||||
\(269\) | 39260.2 | + | 49230.8i | 0.542560 | + | 0.680349i | 0.975227 | − | 0.221205i | \(-0.0709988\pi\) |
−0.432667 | + | 0.901554i | \(0.642427\pi\) | |||||||
\(270\) | −19442.1 | + | 28516.3i | −0.266695 | + | 0.391170i | ||||
\(271\) | 6183.05 | + | 5737.03i | 0.0841907 | + | 0.0781176i | 0.721146 | − | 0.692783i | \(-0.243616\pi\) |
−0.636955 | + | 0.770901i | \(0.719806\pi\) | |||||||
\(272\) | 2484.08 | − | 33147.7i | 0.0335759 | − | 0.448039i | ||||
\(273\) | −9300.52 | − | 23697.3i | −0.124791 | − | 0.317961i | ||||
\(274\) | −2524.01 | − | 11058.4i | −0.0336194 | − | 0.147296i | ||||
\(275\) | −52030.3 | − | 16049.2i | −0.688004 | − | 0.212221i | ||||
\(276\) | −822.088 | − | 1205.78i | −0.0107920 | − | 0.0158289i | ||||
\(277\) | 1962.76 | − | 13022.1i | 0.0255805 | − | 0.169715i | −0.972393 | − | 0.233350i | \(-0.925031\pi\) |
0.997973 | + | 0.0636348i | \(0.0202693\pi\) | |||||||
\(278\) | −28309.3 | − | 11110.6i | −0.366302 | − | 0.143763i | ||||
\(279\) | 9396.07 | + | 4524.91i | 0.120708 | + | 0.0581301i | ||||
\(280\) | −12188.3 | + | 25309.2i | −0.155463 | + | 0.322821i | ||||
\(281\) | 50258.1 | − | 128056.i | 0.636493 | − | 1.62176i | −0.138921 | − | 0.990304i | \(-0.544363\pi\) |
0.775414 | − | 0.631454i | \(-0.217541\pi\) | |||||||
\(282\) | 23876.3 | + | 3598.77i | 0.300240 | + | 0.0452539i | ||||
\(283\) | 103594. | − | 70629.2i | 1.29349 | − | 0.881884i | 0.296172 | − | 0.955135i | \(-0.404290\pi\) |
0.997314 | + | 0.0732510i | \(0.0233374\pi\) | |||||||
\(284\) | −2898.29 | + | 9396.02i | −0.0359340 | + | 0.116495i | ||||
\(285\) | 173447. | − | 39588.0i | 2.13538 | − | 0.487387i | ||||
\(286\) | −22025.6 | + | 8644.42i | −0.269275 | + | 0.105683i | ||||
\(287\) | −25616.5 | − | 1919.69i | −0.310997 | − | 0.0233060i | ||||
\(288\) | −4890.78 | + | 5271.00i | −0.0589648 | + | 0.0635489i | ||||
\(289\) | −36836.6 | − | 25114.7i | −0.441045 | − | 0.300700i | ||||
\(290\) | 8042.07 | − | 6413.34i | 0.0956251 | − | 0.0762584i | ||||
\(291\) | −72276.7 | − | 77895.8i | −0.853518 | − | 0.919873i | ||||
\(292\) | 15646.3 | + | 103806.i | 0.183504 | + | 1.21747i | ||||
\(293\) | −26500.1 | + | 116105.i | −0.308683 | + | 1.35243i | 0.547954 | + | 0.836509i | \(0.315407\pi\) |
−0.856637 | + | 0.515920i | \(0.827450\pi\) | |||||||
\(294\) | 11643.1 | − | 20166.4i | 0.134701 | − | 0.233310i | ||||
\(295\) | 83869.0 | − | 48421.8i | 0.963735 | − | 0.556413i | ||||
\(296\) | 36709.6 | − | 11323.4i | 0.418983 | − | 0.129239i | ||||
\(297\) | −70447.9 | − | 56180.3i | −0.798648 | − | 0.636900i | ||||
\(298\) | −1678.27 | − | 22395.0i | −0.0188986 | − | 0.252184i | ||||
\(299\) | 1581.85 | − | 761.780i | 0.0176939 | − | 0.00852093i | ||||
\(300\) | 55357.0i | 0.615078i | ||||||||
\(301\) | 37341.4 | − | 7163.51i | 0.412152 | − | 0.0790666i | ||||
\(302\) | −6831.22 | −0.0749005 | ||||||||
\(303\) | −53043.4 | − | 110146.i | −0.577758 | − | 1.19973i | ||||
\(304\) | 106232. | − | 7960.96i | 1.14949 | − | 0.0861426i | ||||
\(305\) | 58935.8 | − | 73903.2i | 0.633548 | − | 0.794444i | ||||
\(306\) | −643.344 | − | 2085.67i | −0.00687069 | − | 0.0222742i | ||||
\(307\) | −51619.0 | − | 89406.8i | −0.547688 | − | 0.948623i | −0.998432 | − | 0.0559701i | \(-0.982175\pi\) |
0.450745 | − | 0.892653i | \(-0.351158\pi\) | |||||||
\(308\) | −29753.3 | − | 17178.1i | −0.313642 | − | 0.181081i | ||||
\(309\) | 87804.1 | + | 20040.7i | 0.919598 | + | 0.209892i | ||||
\(310\) | −58305.0 | + | 8788.07i | −0.606712 | + | 0.0914471i | ||||
\(311\) | −71227.9 | + | 66089.8i | −0.736426 | + | 0.683304i | −0.956353 | − | 0.292212i | \(-0.905609\pi\) |
0.219927 | + | 0.975516i | \(0.429418\pi\) | |||||||
\(312\) | 32016.8 | + | 40147.7i | 0.328903 | + | 0.412432i | ||||
\(313\) | −99657.1 | + | 146170.i | −1.01723 | + | 1.49200i | −0.153438 | + | 0.988158i | \(0.549034\pi\) |
−0.863794 | + | 0.503846i | \(0.831918\pi\) | |||||||
\(314\) | −4527.97 | − | 4201.35i | −0.0459245 | − | 0.0426117i | ||||
\(315\) | 406.220 | − | 5420.63i | 0.00409393 | − | 0.0546297i | ||||
\(316\) | 46590.6 | + | 118711.i | 0.466578 | + | 1.18882i | ||||
\(317\) | −25421.0 | − | 111376.i | −0.252973 | − | 1.10835i | −0.928594 | − | 0.371097i | \(-0.878982\pi\) |
0.675622 | − | 0.737248i | \(-0.263875\pi\) | |||||||
\(318\) | −23733.2 | − | 7320.72i | −0.234694 | − | 0.0723935i | ||||
\(319\) | 15127.8 | + | 22188.5i | 0.148660 | + | 0.218045i | ||||
\(320\) | −7170.22 | + | 47571.3i | −0.0700216 | + | 0.464563i | ||||
\(321\) | 142698. | + | 56005.0i | 1.38487 | + | 0.543521i | ||||
\(322\) | −309.315 | − | 148.958i | −0.00298325 | − | 0.00143666i | ||||
\(323\) | −54143.0 | + | 112429.i | −0.518964 | + | 1.07764i | ||||
\(324\) | −30118.8 | + | 76741.6i | −0.286912 | + | 0.731039i | ||||
\(325\) | −65854.8 | − | 9926.02i | −0.623478 | − | 0.0939742i | ||||
\(326\) | −9540.05 | + | 6504.29i | −0.0897667 | + | 0.0612019i | ||||
\(327\) | 19093.7 | − | 61900.4i | 0.178565 | − | 0.578892i | ||||
\(328\) | 50518.1 | − | 11530.4i | 0.469569 | − | 0.107176i | ||||
\(329\) | −39264.1 | + | 15410.0i | −0.362747 | + | 0.142368i | ||||
\(330\) | 45804.1 | + | 3432.54i | 0.420607 | + | 0.0315201i | ||||
\(331\) | −36574.0 | + | 39417.4i | −0.333823 | + | 0.359776i | −0.877549 | − | 0.479487i | \(-0.840823\pi\) |
0.543726 | + | 0.839263i | \(0.317013\pi\) | |||||||
\(332\) | −139756. | − | 95284.2i | −1.26793 | − | 0.864460i | ||||
\(333\) | −5812.02 | + | 4634.93i | −0.0524129 | + | 0.0417979i | ||||
\(334\) | 8047.78 | + | 8673.45i | 0.0721412 | + | 0.0777497i | ||||
\(335\) | 18011.9 | + | 119501.i | 0.160498 | + | 1.06484i | ||||
\(336\) | −6584.75 | + | 28849.7i | −0.0583258 | + | 0.255542i | ||||
\(337\) | 6774.39 | − | 11733.6i | 0.0596500 | − | 0.103317i | −0.834658 | − | 0.550768i | \(-0.814335\pi\) |
0.894308 | + | 0.447451i | \(0.147668\pi\) | |||||||
\(338\) | 9021.55 | − | 5208.59i | 0.0789673 | − | 0.0455918i | ||||
\(339\) | −98754.2 | + | 30461.6i | −0.859323 | + | 0.265066i | ||||
\(340\) | −71643.2 | − | 57133.5i | −0.619751 | − | 0.494235i | ||||
\(341\) | −11503.9 | − | 153509.i | −0.0989322 | − | 1.32016i | ||||
\(342\) | 6302.19 | − | 3034.98i | 0.0538815 | − | 0.0259480i | ||||
\(343\) | 90051.2i | 0.765423i | ||||||||
\(344\) | −67717.8 | + | 36009.9i | −0.572250 | + | 0.304302i | ||||
\(345\) | −3408.31 | −0.0286352 | ||||||||
\(346\) | 2222.44 | + | 4614.94i | 0.0185643 | + | 0.0385491i | ||||
\(347\) | −72797.3 | + | 5455.40i | −0.604584 | + | 0.0453073i | −0.373506 | − | 0.927628i | \(-0.621844\pi\) |
−0.231078 | + | 0.972935i | \(0.574225\pi\) | |||||||
\(348\) | 17022.8 | − | 21345.9i | 0.140564 | − | 0.176261i | ||||
\(349\) | 35862.9 | + | 116265.i | 0.294438 | + | 0.954546i | 0.975066 | + | 0.221916i | \(0.0712311\pi\) |
−0.680627 | + | 0.732630i | \(0.738293\pi\) | |||||||
\(350\) | 6511.35 | + | 11278.0i | 0.0531539 | + | 0.0920652i | ||||
\(351\) | −95446.2 | − | 55105.9i | −0.774719 | − | 0.447284i | ||||
\(352\) | 103477. | + | 23618.1i | 0.835142 | + | 0.190616i | ||||
\(353\) | −14819.2 | + | 2233.63i | −0.118926 | + | 0.0179251i | −0.208235 | − | 0.978079i | \(-0.566772\pi\) |
0.0893098 | + | 0.996004i | \(0.471534\pi\) | |||||||
\(354\) | −25375.8 | + | 23545.3i | −0.202495 | + | 0.187888i | ||||
\(355\) | 14318.1 | + | 17954.3i | 0.113613 | + | 0.142466i | ||||
\(356\) | 98619.4 | − | 144648.i | 0.778148 | − | 1.14133i | ||||
\(357\) | −25409.9 | − | 23576.9i | −0.199373 | − | 0.184991i | ||||
\(358\) | −2919.95 | + | 38964.0i | −0.0227829 | + | 0.304016i | ||||
\(359\) | −65665.0 | − | 167312.i | −0.509501 | − | 1.29819i | −0.921986 | − | 0.387224i | \(-0.873434\pi\) |
0.412485 | − | 0.910965i | \(-0.364661\pi\) | |||||||
\(360\) | 2439.92 | + | 10690.0i | 0.0188266 | + | 0.0824845i | ||||
\(361\) | −257618. | − | 79464.7i | −1.97680 | − | 0.609761i | ||||
\(362\) | 44360.5 | + | 65064.9i | 0.338516 | + | 0.496512i | ||||
\(363\) | 767.728 | − | 5093.54i | 0.00582632 | − | 0.0386551i | ||||
\(364\) | −39117.3 | − | 15352.4i | −0.295234 | − | 0.115871i | ||||
\(365\) | 220895. | + | 106378.i | 1.65806 | + | 0.798480i | ||||
\(366\) | −14660.1 | + | 30442.1i | −0.109440 | + | 0.227254i | ||||
\(367\) | 22605.4 | − | 57597.6i | 0.167834 | − | 0.427634i | −0.822068 | − | 0.569390i | \(-0.807180\pi\) |
0.989902 | + | 0.141756i | \(0.0452748\pi\) | |||||||
\(368\) | −2018.08 | − | 304.176i | −0.0149019 | − | 0.00224610i | ||||
\(369\) | −8284.72 | + | 5648.42i | −0.0608450 | + | 0.0414834i | ||||
\(370\) | 12388.6 | − | 40162.9i | 0.0904939 | − | 0.293374i | ||||
\(371\) | 42298.5 | − | 9654.36i | 0.307311 | − | 0.0701416i | ||||
\(372\) | −145687. | + | 57178.1i | −1.05278 | + | 0.413184i | ||||
\(373\) | 188595. | + | 14133.3i | 1.35554 | + | 0.101584i | 0.732588 | − | 0.680673i | \(-0.238312\pi\) |
0.622956 | + | 0.782257i | \(0.285932\pi\) | |||||||
\(374\) | −21913.7 | + | 23617.3i | −0.156665 | + | 0.168845i | ||||
\(375\) | −38455.6 | − | 26218.6i | −0.273462 | − | 0.186443i | ||||
\(376\) | 66520.8 | − | 53048.6i | 0.470524 | − | 0.375230i | ||||
\(377\) | 22341.6 | + | 24078.5i | 0.157192 | + | 0.169413i | ||||
\(378\) | 3211.98 | + | 21310.1i | 0.0224796 | + | 0.149143i | ||||
\(379\) | −59380.4 | + | 260162.i | −0.413394 | + | 1.81120i | 0.154377 | + | 0.988012i | \(0.450663\pi\) |
−0.567771 | + | 0.823187i | \(0.692194\pi\) | |||||||
\(380\) | 146836. | − | 254327.i | 1.01687 | − | 1.76127i | ||||
\(381\) | −105697. | + | 61024.0i | −0.728134 | + | 0.420388i | ||||
\(382\) | 84955.1 | − | 26205.2i | 0.582188 | − | 0.179581i | ||||
\(383\) | 102861. | + | 82029.1i | 0.701219 | + | 0.559204i | 0.907891 | − | 0.419207i | \(-0.137692\pi\) |
−0.206671 | + | 0.978410i | \(0.566263\pi\) | |||||||
\(384\) | −10435.0 | − | 139246.i | −0.0707670 | − | 0.944321i | ||||
\(385\) | −72292.0 | + | 34814.0i | −0.487718 | + | 0.234873i | ||||
\(386\) | 787.906i | 0.00528810i | ||||||||
\(387\) | 9652.30 | − | 11273.9i | 0.0644479 | − | 0.0752751i | ||||
\(388\) | −175408. | −1.16516 | ||||||||
\(389\) | 61336.3 | + | 127366.i | 0.405339 | + | 0.841694i | 0.999308 | + | 0.0372064i | \(0.0118459\pi\) |
−0.593969 | + | 0.804488i | \(0.702440\pi\) | |||||||
\(390\) | 56024.4 | − | 4198.45i | 0.368339 | − | 0.0276032i | ||||
\(391\) | 1490.54 | − | 1869.08i | 0.00974969 | − | 0.0122257i | ||||
\(392\) | −24185.6 | − | 78407.9i | −0.157393 | − | 0.510256i | ||||
\(393\) | 30519.2 | + | 52860.8i | 0.197600 | + | 0.342254i | ||||
\(394\) | −89303.8 | − | 51559.6i | −0.575278 | − | 0.332137i | ||||
\(395\) | 290367. | + | 66274.5i | 1.86103 | + | 0.424768i | ||||
\(396\) | −13260.6 | + | 1998.71i | −0.0845616 | + | 0.0127456i | ||||
\(397\) | 104351. | − | 96823.2i | 0.662086 | − | 0.614326i | −0.275823 | − | 0.961208i | \(-0.588950\pi\) |
0.937908 | + | 0.346883i | \(0.112760\pi\) | |||||||
\(398\) | 44979.3 | + | 56402.3i | 0.283953 | + | 0.356066i | ||||
\(399\) | 62578.3 | − | 91785.4i | 0.393077 | − | 0.576538i | ||||
\(400\) | 56749.2 | + | 52655.6i | 0.354683 | + | 0.329097i | ||||
\(401\) | 13965.9 | − | 186362.i | 0.0868522 | − | 1.15896i | −0.768126 | − | 0.640298i | \(-0.778811\pi\) |
0.854979 | − | 0.518663i | \(-0.173570\pi\) | |||||||
\(402\) | −15782.1 | − | 40212.0i | −0.0976588 | − | 0.248831i | ||||
\(403\) | −41898.1 | − | 183568.i | −0.257979 | − | 1.13028i | ||||
\(404\) | −192837. | − | 59482.3i | −1.18148 | − | 0.364439i | ||||
\(405\) | 108460. | + | 159082.i | 0.661242 | + | 0.969864i | ||||
\(406\) | 957.281 | − | 6351.14i | 0.00580747 | − | 0.0385301i | ||||
\(407\) | 102145. | + | 40089.1i | 0.616638 | + | 0.242013i | ||||
\(408\) | 62996.6 | + | 30337.5i | 0.378440 | + | 0.182247i | ||||
\(409\) | −2457.00 | + | 5102.01i | −0.0146879 | + | 0.0304996i | −0.908184 | − | 0.418572i | \(-0.862531\pi\) |
0.893496 | + | 0.449071i | \(0.148245\pi\) | |||||||
\(410\) | 20711.8 | − | 52772.8i | 0.123211 | − | 0.313937i | ||||
\(411\) | −69528.8 | − | 10479.8i | −0.411605 | − | 0.0620395i | ||||
\(412\) | 122834. | − | 83746.5i | 0.723640 | − | 0.493369i | ||||
\(413\) | 17824.1 | − | 57784.3i | 0.104498 | − | 0.338774i | ||||
\(414\) | −130.647 | + | 29.8194i | −0.000762254 | + | 0.000173979i | ||||
\(415\) | −367732. | + | 144324.i | −2.13519 | + | 0.837999i | ||||
\(416\) | 129458. | + | 9701.56i | 0.748072 | + | 0.0560603i | ||||
\(417\) | −128227. | + | 138196.i | −0.737408 | + | 0.794737i | ||||
\(418\) | −85310.4 | − | 58163.7i | −0.488258 | − | 0.332889i | ||||
\(419\) | 46943.7 | − | 37436.3i | 0.267392 | − | 0.213238i | −0.480610 | − | 0.876935i | \(-0.659585\pi\) |
0.748002 | + | 0.663696i | \(0.231013\pi\) | |||||||
\(420\) | 55485.5 | + | 59799.2i | 0.314544 | + | 0.338998i | ||||
\(421\) | 6345.02 | + | 42096.5i | 0.0357988 | + | 0.237510i | 0.999573 | − | 0.0292087i | \(-0.00929873\pi\) |
−0.963775 | + | 0.266718i | \(0.914061\pi\) | |||||||
\(422\) | 8528.15 | − | 37364.3i | 0.0478883 | − | 0.209813i | ||||
\(423\) | −8232.12 | + | 14258.5i | −0.0460078 | + | 0.0796878i | ||||
\(424\) | −75791.8 | + | 43758.4i | −0.421590 | + | 0.243405i | ||||
\(425\) | −86654.0 | + | 26729.2i | −0.479745 | + | 0.147982i | ||||
\(426\) | −6417.77 | − | 5118.00i | −0.0353643 | − | 0.0282021i | ||||
\(427\) | −4410.83 | − | 58858.5i | −0.0241916 | − | 0.322815i | ||||
\(428\) | 227985. | − | 109792.i | 1.24457 | − | 0.599353i | ||||
\(429\) | 146676.i | 0.796977i | ||||||||
\(430\) | −9183.63 | + | 83407.6i | −0.0496681 | + | 0.451096i | ||||
\(431\) | −63305.5 | −0.340790 | −0.170395 | − | 0.985376i | \(-0.554504\pi\) | ||||
−0.170395 | + | 0.985376i | \(0.554504\pi\) | |||||||
\(432\) | 55585.4 | + | 115424.i | 0.297847 | + | 0.618486i | ||||
\(433\) | 122493. | − | 9179.58i | 0.653334 | − | 0.0489606i | 0.256061 | − | 0.966661i | \(-0.417575\pi\) |
0.397274 | + | 0.917700i | \(0.369956\pi\) | |||||||
\(434\) | −22955.6 | + | 28785.4i | −0.121873 | + | 0.152824i | ||||
\(435\) | −18794.8 | − | 60931.4i | −0.0993254 | − | 0.322005i | ||||
\(436\) | −53464.9 | − | 92603.8i | −0.281252 | − | 0.487142i | ||||
\(437\) | 6635.08 | + | 3830.76i | 0.0347443 | + | 0.0200596i | ||||
\(438\) | −85440.5 | − | 19501.2i | −0.445365 | − | 0.101652i | ||||
\(439\) | 370910. | − | 55905.7i | 1.92460 | − | 0.290086i | 0.928005 | − | 0.372568i | \(-0.121523\pi\) |
0.996593 | + | 0.0824817i | \(0.0262846\pi\) | |||||||
\(440\) | 118646. | − | 110088.i | 0.612843 | − | 0.568635i | ||||
\(441\) | 9899.72 | + | 12413.9i | 0.0509033 | + | 0.0638307i | ||||
\(442\) | −22198.5 | + | 32559.3i | −0.113627 | + | 0.166660i | ||||
\(443\) | 5067.42 | + | 4701.88i | 0.0258214 | + | 0.0239587i | 0.692978 | − | 0.720959i | \(-0.256298\pi\) |
−0.667157 | + | 0.744918i | \(0.732489\pi\) | |||||||
\(444\) | 8336.89 | − | 111248.i | 0.0422900 | − | 0.564321i | ||||
\(445\) | −149376. | − | 380604.i | −0.754329 | − | 1.92200i | ||||
\(446\) | 720.807 | + | 3158.06i | 0.00362368 | + | 0.0158764i | ||||
\(447\) | −133031. | − | 41034.7i | −0.665792 | − | 0.205370i | ||||
\(448\) | 16922.1 | + | 24820.1i | 0.0843135 | + | 0.123665i | ||||
\(449\) | −6387.21 | + | 42376.4i | −0.0316824 | + | 0.210199i | −0.999071 | − | 0.0430984i | \(-0.986277\pi\) |
0.967388 | + | 0.253298i | \(0.0815152\pi\) | |||||||
\(450\) | 4731.82 | + | 1857.10i | 0.0233670 | + | 0.00917088i | ||||
\(451\) | 133351. | + | 64218.5i | 0.655607 | + | 0.315724i | ||||
\(452\) | −74017.4 | + | 153699.i | −0.362291 | + | 0.752304i | ||||
\(453\) | −15471.0 | + | 39419.6i | −0.0753916 | + | 0.192095i | ||||
\(454\) | −67126.6 | − | 10117.7i | −0.325674 | − | 0.0490874i | ||||
\(455\) | −81088.4 | + | 55285.2i | −0.391684 | + | 0.267046i | ||||
\(456\) | −66049.4 | + | 214127.i | −0.317643 | + | 1.02977i | ||||
\(457\) | 22370.5 | − | 5105.92i | 0.107113 | − | 0.0244479i | −0.168628 | − | 0.985680i | \(-0.553934\pi\) |
0.275742 | + | 0.961232i | \(0.411077\pi\) | |||||||
\(458\) | 62238.0 | − | 24426.6i | 0.296705 | − | 0.116448i | ||||
\(459\) | −149648. | − | 11214.6i | −0.710306 | − | 0.0532301i | ||||
\(460\) | −3826.72 | + | 4124.23i | −0.0180847 | + | 0.0194907i | ||||
\(461\) | 104665. | + | 71359.2i | 0.492491 | + | 0.335775i | 0.783966 | − | 0.620804i | \(-0.213194\pi\) |
−0.291475 | + | 0.956579i | \(0.594146\pi\) | |||||||
\(462\) | 22423.8 | − | 17882.4i | 0.105057 | − | 0.0837801i | ||||
\(463\) | −201775. | − | 217462.i | −0.941252 | − | 1.01443i | −0.999870 | − | 0.0161477i | \(-0.994860\pi\) |
0.0586179 | − | 0.998280i | \(-0.481331\pi\) | |||||||
\(464\) | −5690.67 | − | 37755.1i | −0.0264318 | − | 0.175364i | ||||
\(465\) | −81335.0 | + | 356352.i | −0.376159 | + | 1.64806i | ||||
\(466\) | −16081.6 | + | 27854.1i | −0.0740555 | + | 0.128268i | ||||
\(467\) | 310257. | − | 179127.i | 1.42262 | − | 0.821349i | 0.426097 | − | 0.904678i | \(-0.359888\pi\) |
0.996522 | + | 0.0833284i | \(0.0265550\pi\) | |||||||
\(468\) | −15673.9 | + | 4834.77i | −0.0715626 | + | 0.0220742i | ||||
\(469\) | 58998.2 | + | 47049.5i | 0.268221 | + | 0.213899i | ||||
\(470\) | −6956.41 | − | 92826.8i | −0.0314912 | − | 0.420221i | ||||
\(471\) | −34498.6 | + | 16613.7i | −0.155511 | + | 0.0748899i | ||||
\(472\) | 121979.i | 0.547522i | ||||||||
\(473\) | −215357. | − | 40182.2i | −0.962579 | − | 0.179602i | ||||
\(474\) | −106461. | −0.473842 | ||||||||
\(475\) | −126095. | − | 261839.i | −0.558870 | − | 1.16051i | ||||
\(476\) | −57058.5 | + | 4275.95i | −0.251830 | + | 0.0188720i | ||||
\(477\) | 10558.9 | − | 13240.4i | 0.0464068 | − | 0.0581923i | ||||
\(478\) | 18342.0 | + | 59463.4i | 0.0802771 | + | 0.260252i | ||||
\(479\) | −42849.9 | − | 74218.1i | −0.186758 | − | 0.323474i | 0.757410 | − | 0.652940i | \(-0.226465\pi\) |
−0.944167 | + | 0.329466i | \(0.893131\pi\) | |||||||
\(480\) | −218253. | − | 126008.i | −0.947277 | − | 0.546911i | ||||
\(481\) | 130850. | + | 29865.7i | 0.565566 | + | 0.129087i | ||||
\(482\) | 136521. | − | 20577.3i | 0.587633 | − | 0.0885715i | ||||
\(483\) | −1560.09 | + | 1447.55i | −0.00668736 | + | 0.00620496i | ||||
\(484\) | −5301.47 | − | 6647.83i | −0.0226311 | − | 0.0283785i | ||||
\(485\) | −230770. | + | 338477.i | −0.981060 | + | 1.43895i | ||||
\(486\) | 11776.9 | + | 10927.4i | 0.0498607 | + | 0.0462640i | ||||
\(487\) | −24444.9 | + | 326195.i | −0.103070 | + | 1.37537i | 0.670619 | + | 0.741802i | \(0.266028\pi\) |
−0.773689 | + | 0.633566i | \(0.781591\pi\) | |||||||
\(488\) | 43497.3 | + | 110829.i | 0.182651 | + | 0.465388i | ||||
\(489\) | 15927.2 | + | 69781.5i | 0.0666071 | + | 0.291825i | ||||
\(490\) | −85783.8 | − | 26460.8i | −0.357283 | − | 0.110207i | ||||
\(491\) | 105239. | + | 154357.i | 0.436528 | + | 0.640268i | 0.979962 | − | 0.199183i | \(-0.0638288\pi\) |
−0.543435 | + | 0.839451i | \(0.682876\pi\) | |||||||
\(492\) | 22427.3 | − | 148795.i | 0.0926501 | − | 0.614693i | ||||
\(493\) | 41633.6 | + | 16340.0i | 0.171297 | + | 0.0672292i | ||||
\(494\) | −113784. | − | 54795.2i | −0.466257 | − | 0.224538i | ||||
\(495\) | −13589.1 | + | 28218.0i | −0.0554600 | + | 0.115164i | ||||
\(496\) | −79961.7 | + | 203739.i | −0.325026 | + | 0.828153i | ||||
\(497\) | 14179.2 | + | 2137.18i | 0.0574037 | + | 0.00865222i | ||||
\(498\) | 116671. | − | 79544.7i | 0.470439 | − | 0.320740i | ||||
\(499\) | −85689.0 | + | 277797.i | −0.344131 | + | 1.11565i | 0.603791 | + | 0.797143i | \(0.293656\pi\) |
−0.947922 | + | 0.318503i | \(0.896820\pi\) | |||||||
\(500\) | −74902.4 | + | 17096.0i | −0.299610 | + | 0.0683839i | ||||
\(501\) | 68276.4 | − | 26796.5i | 0.272016 | − | 0.106759i | ||||
\(502\) | 45985.8 | + | 3446.16i | 0.182481 | + | 0.0136750i | ||||
\(503\) | −290557. | + | 313146.i | −1.14841 | + | 1.23769i | −0.181268 | + | 0.983434i | \(0.558020\pi\) |
−0.967138 | + | 0.254254i | \(0.918170\pi\) | |||||||
\(504\) | 5656.99 | + | 3856.87i | 0.0222702 | + | 0.0151836i | ||||
\(505\) | −368481. | + | 293854.i | −1.44488 | + | 1.15226i | ||||
\(506\) | 1345.43 | + | 1450.03i | 0.00525485 | + | 0.00566338i | ||||
\(507\) | −9624.59 | − | 63855.0i | −0.0374426 | − | 0.248416i | ||||
\(508\) | −44830.2 | + | 196414.i | −0.173717 | + | 0.761105i | ||||
\(509\) | 207421. | − | 359264.i | 0.800604 | − | 1.38669i | −0.118615 | − | 0.992940i | \(-0.537845\pi\) |
0.919219 | − | 0.393747i | \(-0.128821\pi\) | |||||||
\(510\) | 66249.5 | − | 38249.2i | 0.254708 | − | 0.147056i | ||||
\(511\) | 146290. | − | 45124.6i | 0.560239 | − | 0.172811i | ||||
\(512\) | −205392. | − | 163795.i | −0.783510 | − | 0.624828i | ||||
\(513\) | −35940.4 | − | 479591.i | −0.136568 | − | 1.82237i | ||||
\(514\) | −158327. | + | 76246.1i | −0.599277 | + | 0.288597i | ||||
\(515\) | − | 347206.i | − | 1.30910i | ||||||
\(516\) | 25498.6 | + | 221261.i | 0.0957671 | + | 0.831008i | ||||
\(517\) | 243028. | 0.909233 | ||||||||
\(518\) | −11387.0 | − | 23645.4i | −0.0424376 | − | 0.0881225i | ||||
\(519\) | 31663.8 | − | 2372.87i | 0.117552 | − | 0.00880927i | ||||
\(520\) | 123430. | − | 154777.i | 0.456473 | − | 0.572399i | ||||
\(521\) | −14427.7 | − | 46773.5i | −0.0531523 | − | 0.172315i | 0.925105 | − | 0.379712i | \(-0.123977\pi\) |
−0.978257 | + | 0.207397i | \(0.933501\pi\) | |||||||
\(522\) | −1253.53 | − | 2171.19i | −0.00460040 | − | 0.00796812i | ||||
\(523\) | 273549. | + | 157934.i | 1.00007 | + | 0.577392i | 0.908270 | − | 0.418385i | \(-0.137404\pi\) |
0.0918029 | + | 0.995777i | \(0.470737\pi\) | |||||||
\(524\) | 98230.0 | + | 22420.4i | 0.357752 | + | 0.0816545i | ||||
\(525\) | 79826.2 | − | 12031.9i | 0.289619 | − | 0.0436530i | ||||
\(526\) | −11345.1 | + | 10526.7i | −0.0410051 | + | 0.0380472i | ||||
\(527\) | −159850. | − | 200445.i | −0.575560 | − | 0.721730i | ||||
\(528\) | 96045.0 | − | 140872.i | 0.344514 | − | 0.505309i | ||||
\(529\) | 205030. | + | 190240.i | 0.732667 | + | 0.679816i | ||||
\(530\) | −7155.37 | + | 95481.8i | −0.0254730 | + | 0.339914i | ||||
\(531\) | −8623.45 | − | 21972.2i | −0.0305838 | − | 0.0779264i | ||||
\(532\) | −40804.5 | − | 178776.i | −0.144173 | − | 0.631664i | ||||
\(533\) | 172991. | + | 53360.6i | 0.608932 | + | 0.187831i | ||||
\(534\) | 82329.0 | + | 120754.i | 0.288716 | + | 0.423468i | ||||
\(535\) | 88080.9 | − | 584379.i | 0.307733 | − | 2.04168i | ||||
\(536\) | −141695. | − | 55611.3i | −0.493203 | − | 0.193568i | ||||
\(537\) | 218229. | + | 105093.i | 0.756769 | + | 0.364441i | ||||
\(538\) | −37649.2 | + | 78179.4i | −0.130074 | + | 0.270102i | ||||
\(539\) | 85626.2 | − | 218172.i | 0.294733 | − | 0.750968i | ||||
\(540\) | 349222. | + | 52636.7i | 1.19761 | + | 0.180510i | ||||
\(541\) | 99326.2 | − | 67719.4i | 0.339367 | − | 0.231376i | −0.381629 | − | 0.924315i | \(-0.624637\pi\) |
0.720996 | + | 0.692939i | \(0.243685\pi\) | |||||||
\(542\) | −3426.01 | + | 11106.9i | −0.0116625 | + | 0.0378088i | ||||
\(543\) | 475923. | − | 108626.i | 1.61412 | − | 0.368413i | ||||
\(544\) | 164549. | − | 64580.8i | 0.556030 | − | 0.218226i | ||||
\(545\) | −249034. | − | 18662.5i | −0.838426 | − | 0.0628314i | ||||
\(546\) | 23860.9 | − | 25716.0i | 0.0800391 | − | 0.0862616i | ||||
\(547\) | −275747. | − | 188001.i | −0.921588 | − | 0.628328i | 0.00678570 | − | 0.999977i | \(-0.497840\pi\) |
−0.928373 | + | 0.371649i | \(0.878792\pi\) | |||||||
\(548\) | −90745.4 | + | 72367.1i | −0.302179 | + | 0.240979i | ||||
\(549\) | −15670.4 | − | 16888.7i | −0.0519920 | − | 0.0560340i | ||||
\(550\) | −11183.1 | − | 74194.9i | −0.0369689 | − | 0.245272i | ||||
\(551\) | −31895.1 | + | 139742.i | −0.105056 | + | 0.460281i | ||||
\(552\) | 2146.46 | − | 3717.78i | 0.00704441 | − | 0.0122013i | ||||
\(553\) | 161058. | − | 92986.6i | 0.526661 | − | 0.304068i | ||||
\(554\) | 17341.3 | − | 5349.08i | 0.0565018 | − | 0.0174285i | ||||
\(555\) | −203703. | − | 162448.i | −0.661319 | − | 0.527385i | ||||
\(556\) | 23255.5 | + | 310323.i | 0.0752273 | + | 1.00384i | ||||
\(557\) | −41018.1 | + | 19753.3i | −0.132210 | + | 0.0636692i | −0.498819 | − | 0.866706i | \(-0.666233\pi\) |
0.366609 | + | 0.930375i | \(0.380519\pi\) | |||||||
\(558\) | 14371.3i | 0.0461559i | ||||||||
\(559\) | −267793. | − | 9340.05i | −0.856988 | − | 0.0298900i | ||||
\(560\) | 114081. | 0.363778 | ||||||||
\(561\) | 86654.8 | + | 179940.i | 0.275338 | + | 0.571746i | ||||
\(562\) | 189039. | − | 14166.5i | 0.598519 | − | 0.0448528i | ||||
\(563\) | −128341. | + | 160935.i | −0.404902 | + | 0.507731i | −0.941919 | − | 0.335841i | \(-0.890980\pi\) |
0.537017 | + | 0.843571i | \(0.319551\pi\) | |||||||
\(564\) | −72827.9 | − | 236102.i | −0.228950 | − | 0.742236i | ||||
\(565\) | 199208. | + | 345038.i | 0.624036 | + | 1.08086i | ||||
\(566\) | 149630. | + | 86388.9i | 0.467074 | + | 0.269665i | ||||
\(567\) | 117210. | + | 26752.3i | 0.364584 | + | 0.0832138i | ||||
\(568\) | −28601.7 | + | 4311.01i | −0.0886534 | + | 0.0133624i | ||||
\(569\) | −201605. | + | 187062.i | −0.622697 | + | 0.577778i | −0.927123 | − | 0.374758i | \(-0.877726\pi\) |
0.304426 | + | 0.952536i | \(0.401535\pi\) | |||||||
\(570\) | 152856. | + | 191675.i | 0.470470 | + | 0.589951i | ||||
\(571\) | −34664.6 | + | 50843.6i | −0.106320 | + | 0.155942i | −0.875711 | − | 0.482835i | \(-0.839607\pi\) |
0.769392 | + | 0.638777i | \(0.220559\pi\) | |||||||
\(572\) | 177486. | + | 164683.i | 0.542465 | + | 0.503334i | ||||
\(573\) | 41185.5 | − | 549582.i | 0.125440 | − | 1.67388i | ||||
\(574\) | −12932.8 | − | 32952.3i | −0.0392527 | − | 0.100014i | ||||
\(575\) | 1238.92 | + | 5428.04i | 0.00374719 | + | 0.0164175i | ||||
\(576\) | 11204.6 | + | 3456.18i | 0.0337717 | + | 0.0104172i | ||||
\(577\) | −241714. | − | 354529.i | −0.726022 | − | 1.06488i | −0.994817 | − | 0.101681i | \(-0.967578\pi\) |
0.268796 | − | 0.963197i | \(-0.413374\pi\) | |||||||
\(578\) | 9156.77 | − | 60751.2i | 0.0274086 | − | 0.181844i | ||||
\(579\) | 4546.61 | + | 1784.41i | 0.0135622 | + | 0.00532278i | ||||
\(580\) | −94832.2 | − | 45668.8i | −0.281903 | − | 0.135757i | ||||
\(581\) | −107026. | + | 222242.i | −0.317057 | + | 0.658376i | ||||
\(582\) | 53497.9 | − | 136311.i | 0.157940 | − | 0.402424i | ||||
\(583\) | −247187. | − | 37257.5i | −0.727258 | − | 0.109617i | ||||
\(584\) | −255150. | + | 173959.i | −0.748119 | + | 0.510059i | ||||
\(585\) | −11291.5 | + | 36606.1i | −0.0329943 | + | 0.106965i | ||||
\(586\) | −159996. | + | 36518.0i | −0.465923 | + | 0.106344i | ||||
\(587\) | −243494. | + | 95564.5i | −0.706664 | + | 0.277345i | −0.691332 | − | 0.722537i | \(-0.742976\pi\) |
−0.0153320 | + | 0.999882i | \(0.504881\pi\) | |||||||
\(588\) | −237614. | − | 17806.7i | −0.687255 | − | 0.0515026i | ||||
\(589\) | 558859. | − | 602307.i | 1.61091 | − | 1.73615i | ||||
\(590\) | 110265. | + | 75177.1i | 0.316761 | + | 0.215964i | ||||
\(591\) | −499776. | + | 398558.i | −1.43087 | + | 1.14108i | ||||
\(592\) | −106116. | − | 114366.i | −0.302787 | − | 0.326326i | ||||
\(593\) | −47292.1 | − | 313763.i | −0.134487 | − | 0.892261i | −0.949714 | − | 0.313119i | \(-0.898626\pi\) |
0.815227 | − | 0.579141i | \(-0.196612\pi\) | |||||||
\(594\) | 27630.3 | − | 121056.i | 0.0783091 | − | 0.343095i | ||||
\(595\) | −66816.3 | + | 115729.i | −0.188733 | + | 0.326896i | ||||
\(596\) | −199016. | + | 114902.i | −0.560269 | + | 0.323471i | ||||
\(597\) | 427337. | − | 131816.i | 1.19901 | − | 0.369844i | ||||
\(598\) | 1891.60 | + | 1508.50i | 0.00528964 | + | 0.00421835i | ||||
\(599\) | −21439.3 | − | 286088.i | −0.0597526 | − | 0.797344i | −0.943920 | − | 0.330174i | \(-0.892893\pi\) |
0.884168 | − | 0.467170i | \(-0.154726\pi\) | |||||||
\(600\) | −146714. | + | 70653.9i | −0.407540 | + | 0.196261i | ||||
\(601\) | 426039.i | 1.17951i | 0.807584 | + | 0.589753i | \(0.200775\pi\) | ||||
−0.807584 | + | 0.589753i | \(0.799225\pi\) | |||||||
\(602\) | 31220.6 | + | 42078.6i | 0.0861486 | + | 0.116110i | ||||
\(603\) | 29455.2 | 0.0810079 | ||||||||
\(604\) | 30329.4 | + | 62979.6i | 0.0831361 | + | 0.172634i | ||||
\(605\) | −19802.8 | + | 1484.01i | −0.0541023 | + | 0.00405440i | ||||
\(606\) | 105038. | − | 131713.i | 0.286023 | − | 0.358662i | ||||
\(607\) | −48124.3 | − | 156015.i | −0.130613 | − | 0.423437i | 0.866517 | − | 0.499148i | \(-0.166354\pi\) |
−0.997130 | + | 0.0757107i | \(0.975877\pi\) | |||||||
\(608\) | 283254. | + | 490610.i | 0.766246 | + | 1.32718i | ||||
\(609\) | −34481.3 | − | 19907.8i | −0.0929712 | − | 0.0536770i | ||||
\(610\) | 126994. | + | 28985.5i | 0.341289 | + | 0.0778970i | ||||
\(611\) | 293935. | − | 44303.6i | 0.787352 | − | 0.118674i | ||||
\(612\) | −16372.2 | + | 15191.2i | −0.0437124 | + | 0.0405592i | ||||
\(613\) | −182716. | − | 229119.i | −0.486246 | − | 0.609733i | 0.476819 | − | 0.879001i | \(-0.341790\pi\) |
−0.963065 | + | 0.269268i | \(0.913218\pi\) | |||||||
\(614\) | 80140.9 | − | 117545.i | 0.212578 | − | 0.311794i | ||||
\(615\) | −257619. | − | 239035.i | −0.681125 | − | 0.631992i | ||||
\(616\) | 7552.49 | − | 100781.i | 0.0199035 | − | 0.265593i | ||||
\(617\) | 48952.1 | + | 124728.i | 0.128588 | + | 0.327637i | 0.980640 | − | 0.195820i | \(-0.0627370\pi\) |
−0.852052 | + | 0.523458i | \(0.824642\pi\) | |||||||
\(618\) | 27616.8 | + | 120997.i | 0.0723096 | + | 0.316809i | ||||
\(619\) | 720691. | + | 222304.i | 1.88091 | + | 0.580184i | 0.992678 | + | 0.120789i | \(0.0385424\pi\) |
0.888232 | + | 0.459395i | \(0.151934\pi\) | |||||||
\(620\) | 339884. | + | 498518.i | 0.884193 | + | 1.29687i | ||||
\(621\) | −1373.23 | + | 9110.76i | −0.00356089 | + | 0.0236250i | ||||
\(622\) | −124642. | − | 48918.5i | −0.322170 | − | 0.126442i | ||||
\(623\) | −230021. | − | 110772.i | −0.592641 | − | 0.285401i | ||||
\(624\) | 90482.8 | − | 187889.i | 0.232379 | − | 0.482540i | ||||
\(625\) | −170488. | + | 434397.i | −0.436450 | + | 1.11206i | ||||
\(626\) | −241065. | − | 36334.7i | −0.615157 | − | 0.0927199i | ||||
\(627\) | −528841. | + | 360558.i | −1.34521 | + | 0.917148i | ||||
\(628\) | −18630.4 | + | 60398.3i | −0.0472392 | + | 0.153146i | ||||
\(629\) | 178169. | − | 40666.0i | 0.450331 | − | 0.102785i | ||||
\(630\) | 6972.94 | − | 2736.68i | 0.0175685 | − | 0.00689513i | ||||
\(631\) | −101381. | − | 7597.45i | −0.254623 | − | 0.0190814i | −0.0531929 | − | 0.998584i | \(-0.516940\pi\) |
−0.201430 | + | 0.979503i | \(0.564559\pi\) | |||||||
\(632\) | −255158. | + | 274995.i | −0.638814 | + | 0.688478i | ||||
\(633\) | −196296. | − | 133833.i | −0.489897 | − | 0.334006i | ||||
\(634\) | 123082. | − | 98154.4i | 0.306207 | − | 0.244192i | ||||
\(635\) | 320033. | + | 344913.i | 0.793683 | + | 0.855387i | ||||
\(636\) | 37878.6 | + | 251308.i | 0.0936438 | + | 0.621286i | ||||
\(637\) | 63789.9 | − | 279482.i | 0.157207 | − | 0.688771i | ||||
\(638\) | −18503.4 | + | 32048.8i | −0.0454579 | + | 0.0787354i | ||||
\(639\) | 4847.28 | − | 2798.58i | 0.0118712 | − | 0.00685387i | ||||
\(640\) | −514406. | + | 158673.i | −1.25587 | + | 0.387386i | ||||
\(641\) | −262780. | − | 209560.i | −0.639553 | − | 0.510027i | 0.249177 | − | 0.968458i | \(-0.419840\pi\) |
−0.888730 | + | 0.458431i | \(0.848411\pi\) | |||||||
\(642\) | 15786.4 | + | 210655.i | 0.0383012 | + | 0.511094i | ||||
\(643\) | 116921. | − | 56306.2i | 0.282794 | − | 0.136186i | −0.287110 | − | 0.957898i | \(-0.592695\pi\) |
0.569904 | + | 0.821711i | \(0.306980\pi\) | |||||||
\(644\) | 3513.04i | 0.00847054i | ||||||||
\(645\) | 460505. | + | 241892.i | 1.10692 | + | 0.581436i | ||||
\(646\) | −171960. | −0.412063 | ||||||||
\(647\) | 162327. | + | 337075.i | 0.387777 | + | 0.805227i | 0.999895 | + | 0.0144610i | \(0.00460324\pi\) |
−0.612119 | + | 0.790766i | \(0.709682\pi\) | |||||||
\(648\) | −241832. | + | 18122.8i | −0.575922 | + | 0.0431594i | ||||
\(649\) | −217233. | + | 272402.i | −0.515748 | + | 0.646727i | ||||
\(650\) | −27051.2 | − | 87697.8i | −0.0640265 | − | 0.207569i | ||||
\(651\) | 114117. | + | 197657.i | 0.269271 | + | 0.466391i | ||||
\(652\) | 102322. | + | 59075.4i | 0.240698 | + | 0.138967i | ||||
\(653\) | −529862. | − | 120938.i | −1.24262 | − | 0.283619i | −0.449827 | − | 0.893116i | \(-0.648514\pi\) |
−0.792788 | + | 0.609497i | \(0.791371\pi\) | |||||||
\(654\) | 88269.5 | − | 13304.5i | 0.206374 | − | 0.0311059i | ||||
\(655\) | 172497. | − | 160054.i | 0.402068 | − | 0.373064i | ||||
\(656\) | −131204. | − | 164525.i | −0.304888 | − | 0.382318i | ||||
\(657\) | 33662.3 | − | 49373.5i | 0.0779853 | − | 0.114383i | ||||
\(658\) | −42608.8 | − | 39535.2i | −0.0984119 | − | 0.0913129i | ||||
\(659\) | 24644.8 | − | 328862.i | 0.0567486 | − | 0.757257i | −0.894153 | − | 0.447762i | \(-0.852221\pi\) |
0.950901 | − | 0.309495i | \(-0.100160\pi\) | |||||||
\(660\) | −171716. | − | 437525.i | −0.394205 | − | 1.00442i | ||||
\(661\) | −140327. | − | 614814.i | −0.321173 | − | 1.40715i | −0.835468 | − | 0.549539i | \(-0.814804\pi\) |
0.514295 | − | 0.857613i | \(-0.328054\pi\) | |||||||
\(662\) | −70807.0 | − | 21841.1i | −0.161570 | − | 0.0498377i | ||||
\(663\) | 137609. | + | 201835.i | 0.313055 | + | 0.459167i | ||||
\(664\) | 74159.2 | − | 492014.i | 0.168201 | − | 1.11594i | ||||
\(665\) | −398661. | − | 156463.i | −0.901488 | − | 0.353808i | ||||
\(666\) | −9229.60 | − | 4444.74i | −0.0208082 | − | 0.0100207i | ||||
\(667\) | 1191.44 | − | 2474.05i | 0.00267807 | − | 0.00556106i | ||||
\(668\) | 44233.1 | − | 112704.i | 0.0991275 | − | 0.252573i | ||||
\(669\) | 19856.1 | + | 2992.82i | 0.0443650 | + | 0.00668695i | ||||
\(670\) | −137599. | + | 93813.4i | −0.306525 | + | 0.208985i | ||||
\(671\) | −100239. | + | 324968.i | −0.222635 | + | 0.721764i | ||||
\(672\) | −153418. | + | 35016.7i | −0.339733 | + | 0.0775419i | ||||
\(673\) | −420636. | + | 165087.i | −0.928701 | + | 0.364488i | −0.780991 | − | 0.624542i | \(-0.785286\pi\) |
−0.147710 | + | 0.989031i | \(0.547190\pi\) | |||||||
\(674\) | 18618.4 | + | 1395.26i | 0.0409849 | + | 0.00307139i | ||||
\(675\) | 237718. | − | 256199.i | 0.521740 | − | 0.562302i | ||||
\(676\) | −88073.9 | − | 60047.8i | −0.192732 | − | 0.131403i | ||||
\(677\) | 215763. | − | 172065.i | 0.470759 | − | 0.375418i | −0.359183 | − | 0.933267i | \(-0.616945\pi\) |
0.829942 | + | 0.557849i | \(0.188373\pi\) | |||||||
\(678\) | −96865.8 | − | 104396.i | −0.210723 | − | 0.227105i | ||||
\(679\) | 38124.9 | + | 252942.i | 0.0826930 | + | 0.548632i | ||||
\(680\) | 59982.2 | − | 262799.i | 0.129719 | − | 0.568337i | ||||
\(681\) | −210409. | + | 364440.i | −0.453702 | + | 0.785835i | ||||
\(682\) | 183713. | − | 106067.i | 0.394977 | − | 0.228040i | ||||
\(683\) | −85354.1 | + | 26328.2i | −0.182971 | + | 0.0564391i | −0.384887 | − | 0.922964i | \(-0.625760\pi\) |
0.201916 | + | 0.979403i | \(0.435283\pi\) | |||||||
\(684\) | −55961.2 | − | 44627.5i | −0.119612 | − | 0.0953873i | ||||
\(685\) | 20257.4 | + | 270316.i | 0.0431719 | + | 0.576090i | ||||
\(686\) | −111804. | + | 53842.1i | −0.237580 | + | 0.114413i | ||||
\(687\) | − | 414465.i | − | 0.878160i | ||||||
\(688\) | 251080. | + | 184323.i | 0.530438 | + | 0.389407i | ||||
\(689\) | −305757. | −0.644078 | ||||||||
\(690\) | −2037.85 | − | 4231.63i | −0.00428029 | − | 0.00888812i | ||||
\(691\) | 800927. | − | 60021.2i | 1.67740 | − | 0.125704i | 0.798275 | − | 0.602294i | \(-0.205746\pi\) |
0.879126 | + | 0.476590i | \(0.158127\pi\) | |||||||
\(692\) | 32679.7 | − | 40979.0i | 0.0682441 | − | 0.0855754i | ||||
\(693\) | 5764.39 | + | 18687.7i | 0.0120029 | + | 0.0389125i | ||||
\(694\) | −50299.2 | − | 87120.7i | −0.104434 | − | 0.180885i | ||||
\(695\) | 629413. | + | 363392.i | 1.30306 | + | 0.752325i | ||||
\(696\) | 78300.4 | + | 17871.6i | 0.161639 | + | 0.0368930i | ||||
\(697\) | 243748. | − | 36739.1i | 0.501736 | − | 0.0756245i | ||||
\(698\) | −122907. | + | 114041.i | −0.252271 | + | 0.234073i | ||||
\(699\) | 124311. | + | 155882.i | 0.254423 | + | 0.319037i | ||||
\(700\) | 75066.8 | − | 110103.i | 0.153197 | − | 0.224699i | ||||
\(701\) | 206215. | + | 191339.i | 0.419647 | + | 0.389375i | 0.861538 | − | 0.507694i | \(-0.169502\pi\) |
−0.441891 | + | 0.897069i | \(0.645692\pi\) | |||||||
\(702\) | 11349.7 | − | 151451.i | 0.0230308 | − | 0.307324i | ||||
\(703\) | 213973. | + | 545194.i | 0.432961 | + | 1.10317i | ||||
\(704\) | −38514.1 | − | 168741.i | −0.0777096 | − | 0.340468i | ||||
\(705\) | −551412. | − | 170088.i | −1.10942 | − | 0.342212i | ||||
\(706\) | −11633.7 | − | 17063.5i | −0.0233404 | − | 0.0342340i | ||||
\(707\) | −43861.8 | + | 291004.i | −0.0877501 | + | 0.582184i | ||||
\(708\) | 329737. | + | 129412.i | 0.657812 | + | 0.258172i | ||||
\(709\) | −442395. | − | 213046.i | −0.880071 | − | 0.423820i | −0.0614208 | − | 0.998112i | \(-0.519563\pi\) |
−0.818651 | + | 0.574292i | \(0.805277\pi\) | |||||||
\(710\) | −13730.6 | + | 28511.8i | −0.0272378 | + | 0.0565598i | ||||
\(711\) | 26520.7 | − | 67573.7i | 0.0524622 | − | 0.133671i | ||||
\(712\) | 509236. | + | 76754.9i | 1.00452 | + | 0.151407i | ||||
\(713\) | −13005.7 | + | 8867.15i | −0.0255832 | + | 0.0174423i | ||||
\(714\) | 14079.5 | − | 45644.8i | 0.0276180 | − | 0.0895354i | ||||
\(715\) | 551286. | − | 125827.i | 1.07836 | − | 0.246129i | ||||
\(716\) | 372187. | − | 146073.i | 0.725998 | − | 0.284933i | ||||
\(717\) | 384674. | + | 28827.3i | 0.748263 | + | 0.0560746i | ||||
\(718\) | 168467. | − | 181564.i | 0.326787 | − | 0.352193i | ||||
\(719\) | 708515. | + | 483058.i | 1.37054 | + | 0.934418i | 0.999984 | + | 0.00560707i | \(0.00178479\pi\) |
0.370555 | + | 0.928811i | \(0.379168\pi\) | |||||||
\(720\) | 34814.7 | − | 27763.8i | 0.0671580 | − | 0.0535567i | ||||
\(721\) | −147462. | − | 158927.i | −0.283668 | − | 0.305722i | ||||
\(722\) | −55370.9 | − | 367362.i | −0.106220 | − | 0.704725i | ||||
\(723\) | 190446. | − | 834399.i | 0.364331 | − | 1.59624i | ||||
\(724\) | 402905. | − | 697852.i | 0.768644 | − | 1.33133i | ||||
\(725\) | −90206.9 | + | 52081.0i | −0.171618 | + | 0.0990839i | ||||
\(726\) | 6782.99 | − | 2092.27i | 0.0128691 | − | 0.00396959i | ||||
\(727\) | −236132. | − | 188309.i | −0.446772 | − | 0.356289i | 0.374112 | − | 0.927384i | \(-0.377948\pi\) |
−0.820884 | + | 0.571095i | \(0.806519\pi\) | |||||||
\(728\) | −9237.69 | − | 123268.i | −0.0174301 | − | 0.232589i | ||||
\(729\) | 516390. | − | 248680.i | 0.971679 | − | 0.467936i | ||||
\(730\) | 337859.i | 0.634001i | ||||||||
\(731\) | −334042. | + | 146751.i | −0.625124 | + | 0.274628i | ||||
\(732\) | 345745. | 0.645259 | ||||||||
\(733\) | 53085.6 | + | 110233.i | 0.0988027 | + | 0.205166i | 0.944511 | − | 0.328479i | \(-0.106536\pi\) |
−0.845708 | + | 0.533645i | \(0.820822\pi\) | |||||||
\(734\) | 85026.9 | − | 6371.89i | 0.157821 | − | 0.0118270i | ||||
\(735\) | −346971. | + | 435088.i | −0.642271 | + | 0.805383i | ||||
\(736\) | −3198.99 | − | 10370.9i | −0.00590550 | − | 0.0191452i | ||||
\(737\) | −217394. | − | 376537.i | −0.400232 | − | 0.693222i | ||||
\(738\) | −11966.4 | − | 6908.78i | −0.0219710 | − | 0.0126849i | ||||
\(739\) | −58888.0 | − | 13440.8i | −0.107829 | − | 0.0246114i | 0.168266 | − | 0.985742i | \(-0.446183\pi\) |
−0.276095 | + | 0.961130i | \(0.589040\pi\) | |||||||
\(740\) | −425280. | + | 64100.6i | −0.776625 | + | 0.117057i | ||||
\(741\) | −573888. | + | 532490.i | −1.04518 | + | 0.969784i | ||||
\(742\) | 37277.0 | + | 46743.9i | 0.0677070 | + | 0.0849019i | ||||
\(743\) | 194968. | − | 285966.i | 0.353172 | − | 0.518009i | −0.608008 | − | 0.793931i | \(-0.708031\pi\) |
0.961180 | + | 0.275923i | \(0.0889834\pi\) | |||||||
\(744\) | −337486. | − | 313141.i | −0.609691 | − | 0.565710i | ||||
\(745\) | −40107.9 | + | 535202.i | −0.0722632 | + | 0.964285i | ||||
\(746\) | 95214.9 | + | 242604.i | 0.171091 | + | 0.435933i | ||||
\(747\) | 21425.1 | + | 93869.7i | 0.0383957 | + | 0.168223i | ||||
\(748\) | 315030. | + | 97173.8i | 0.563052 | + | 0.173679i | ||||
\(749\) | −207875. | − | 304897.i | −0.370543 | − | 0.543487i | ||||
\(750\) | 9559.24 | − | 63421.4i | 0.0169942 | − | 0.112749i | ||||
\(751\) | −474861. | − | 186369.i | −0.841950 | − | 0.330441i | −0.0951280 | − | 0.995465i | \(-0.530326\pi\) |
−0.746822 | + | 0.665024i | \(0.768421\pi\) | |||||||
\(752\) | −311314. | − | 149921.i | −0.550507 | − | 0.265110i | ||||
\(753\) | 124033. | − | 257556.i | 0.218749 | − | 0.454237i | ||||
\(754\) | −16536.8 | + | 42135.1i | −0.0290877 | + | 0.0741143i | ||||
\(755\) | 161431. | + | 24331.8i | 0.283200 | + | 0.0426856i | ||||
\(756\) | 182205. | − | 124225.i | 0.318799 | − | 0.217353i | ||||
\(757\) | −23519.5 | + | 76248.5i | −0.0410428 | + | 0.133058i | −0.973775 | − | 0.227511i | \(-0.926941\pi\) |
0.932733 | + | 0.360569i | \(0.117417\pi\) | |||||||
\(758\) | −358512. | + | 81828.0i | −0.623972 | + | 0.142418i | ||||
\(759\) | 11414.5 | − | 4479.85i | 0.0198140 | − | 0.00777642i | ||||
\(760\) | 861461. | + | 64557.6i | 1.49145 | + | 0.111769i | ||||
\(761\) | −155106. | + | 167165.i | −0.267830 | + | 0.288652i | −0.852619 | − | 0.522533i | \(-0.824987\pi\) |
0.584788 | + | 0.811186i | \(0.301178\pi\) | |||||||
\(762\) | −138962. | − | 94742.6i | −0.239324 | − | 0.163168i | ||||
\(763\) | −121916. | + | 97225.1i | −0.209418 | + | 0.167005i | ||||
\(764\) | −618781. | − | 666887.i | −1.06011 | − | 1.14252i | ||||
\(765\) | 7774.25 | + | 51578.8i | 0.0132842 | + | 0.0881349i | ||||
\(766\) | −40343.0 | + | 176754.i | −0.0687561 | + | 0.301240i | ||||
\(767\) | −213079. | + | 369063.i | −0.362201 | + | 0.627350i | ||||
\(768\) | −6270.21 | + | 3620.11i | −0.0106306 | + | 0.00613761i | ||||
\(769\) | −585832. | + | 180705.i | −0.990651 | + | 0.305575i | −0.747390 | − | 0.664385i | \(-0.768693\pi\) |
−0.243261 | + | 0.969961i | \(0.578217\pi\) | |||||||
\(770\) | −86447.6 | − | 68939.7i | −0.145805 | − | 0.116275i | ||||
\(771\) | 81407.2 | + | 1.08630e6i | 0.136947 | + | 1.82744i | ||||
\(772\) | 7264.00 | − | 3498.16i | 0.0121882 | − | 0.00586955i | ||||
\(773\) | − | 706410.i | − | 1.18222i | −0.806592 | − | 0.591109i | \(-0.798690\pi\) | ||
0.806592 | − | 0.591109i | \(-0.201310\pi\) | |||||||
\(774\) | 19768.4 | + | 5243.23i | 0.0329982 | + | 0.00875219i | ||||
\(775\) | 597088. | 0.994112 | ||||||||
\(776\) | −223878. | − | 464887.i | −0.371782 | − | 0.772012i | ||||
\(777\) | −162234. | + | 12157.8i | −0.268721 | + | 0.0201378i | ||||
\(778\) | −121460. | + | 152306.i | −0.200666 | + | 0.251627i | ||||
\(779\) | 232852. | + | 754888.i | 0.383712 | + | 1.24396i | ||||
\(780\) | −287445. | − | 497869.i | −0.472460 | − | 0.818325i | ||||
\(781\) | −71550.5 | − | 41309.7i | −0.117303 | − | 0.0677252i | ||||
\(782\) | 3211.79 | + | 733.069i | 0.00525210 | + | 0.00119876i | ||||
\(783\) | −170449. | + | 25691.0i | −0.278016 | + | 0.0419042i | ||||
\(784\) | −244273. | + | 226652.i | −0.397414 | + | 0.368746i | ||||
\(785\) | 92037.7 | + | 115412.i | 0.149357 | + | 0.187288i | ||||
\(786\) | −47382.4 | + | 69497.3i | −0.0766959 | + | 0.112492i | ||||
\(787\) | −394992. | − | 366499.i | −0.637732 | − | 0.591729i | 0.293587 | − | 0.955932i | \(-0.405151\pi\) |
−0.931320 | + | 0.364203i | \(0.881341\pi\) | |||||||
\(788\) | −78854.5 | + | 1.05224e6i | −0.126991 | + | 1.69458i | ||||
\(789\) | 35050.6 | + | 89307.6i | 0.0563044 | + | 0.143461i | ||||
\(790\) | 91328.3 | + | 400135.i | 0.146336 | + | 0.641140i | ||||
\(791\) | 237725. | + | 73328.5i | 0.379946 | + | 0.117198i | ||||
\(792\) | −22222.2 | − | 32593.9i | −0.0354271 | − | 0.0519621i | ||||
\(793\) | −61995.3 | + | 411312.i | −0.0985853 | + | 0.654071i | ||||
\(794\) | 182604. | + | 71666.8i | 0.289647 | + | 0.113678i | ||||
\(795\) | 534773. | + | 257533.i | 0.846126 | + | 0.407473i | ||||
\(796\) | 320294. | − | 665097.i | 0.505501 | − | 1.04968i | ||||
\(797\) | 294104. | − | 749365.i | 0.463004 | − | 1.17971i | −0.488633 | − | 0.872489i | \(-0.662504\pi\) |
0.951637 | − | 0.307225i | \(-0.0994004\pi\) | |||||||
\(798\) | 151373. | + | 22815.9i | 0.237708 | + | 0.0358287i | ||||
\(799\) | 334421. | − | 228005.i | 0.523842 | − | 0.357149i | ||||
\(800\) | −121345. | + | 393391.i | −0.189602 | + | 0.614674i | ||||
\(801\) | −97155.4 | + | 22175.1i | −0.151426 | + | 0.0345621i | ||||
\(802\) | 239731. | − | 94087.4i | 0.372714 | − | 0.146279i | ||||
\(803\) | −879603. | − | 65917.1i | −1.36413 | − | 0.102227i | ||||
\(804\) | −300660. | + | 324035.i | −0.465119 | + | 0.501279i | ||||
\(805\) | 6778.97 | + | 4621.83i | 0.0104610 | + | 0.00713217i | ||||
\(806\) | 202860. | − | 161775.i | 0.312267 | − | 0.249025i | ||||
\(807\) | 365868. | + | 394312.i | 0.561794 | + | 0.605470i | ||||
\(808\) | −88476.1 | − | 587000.i | −0.135520 | − | 0.899116i | ||||
\(809\) | −188661. | + | 826579.i | −0.288261 | + | 1.26295i | 0.598649 | + | 0.801011i | \(0.295704\pi\) |
−0.886910 | + | 0.461942i | \(0.847153\pi\) | |||||||
\(810\) | −132661. | + | 229776.i | −0.202197 | + | 0.350215i | ||||
\(811\) | −656791. | + | 379199.i | −0.998586 | + | 0.576534i | −0.907830 | − | 0.419339i | \(-0.862262\pi\) |
−0.0907566 | + | 0.995873i | \(0.528929\pi\) | |||||||
\(812\) | −62803.7 | + | 19372.4i | −0.0952518 | + | 0.0293813i | ||||
\(813\) | 56333.1 | + | 44924.1i | 0.0852280 | + | 0.0679670i | ||||
\(814\) | 11300.1 | + | 150790.i | 0.0170543 | + | 0.227574i | ||||
\(815\) | 248612. | − | 119725.i | 0.374289 | − | 0.180248i | ||||
\(816\) | − | 283956.i | − | 0.426453i | ||||||
\(817\) | −624608. | − | 988484.i | −0.935758 | − | 1.48090i | ||||
\(818\) | −7803.52 | −0.0116623 | ||||||||
\(819\) | 10378.6 | + | 21551.4i | 0.0154729 | + | 0.0321297i | ||||
\(820\) | −578489. | + | 43351.8i | −0.860335 | + | 0.0644732i | ||||
\(821\) | 614412. | − | 770448.i | 0.911534 | − | 1.14303i | −0.0777422 | − | 0.996973i | \(-0.524771\pi\) |
0.989277 | − | 0.146054i | \(-0.0466575\pi\) | |||||||
\(822\) | −28560.3 | − | 92590.4i | −0.0422688 | − | 0.137032i | ||||
\(823\) | 96606.4 | + | 167327.i | 0.142628 | + | 0.247040i | 0.928486 | − | 0.371368i | \(-0.121111\pi\) |
−0.785857 | + | 0.618408i | \(0.787778\pi\) | |||||||
\(824\) | 378732. | + | 218661.i | 0.557799 | + | 0.322045i | ||||
\(825\) | −453469. | − | 103501.i | −0.666253 | − | 0.152068i | ||||
\(826\) | 82400.0 | − | 12419.8i | 0.120772 | − | 0.0182035i | ||||
\(827\) | 16129.9 | − | 14966.4i | 0.0235842 | − | 0.0218829i | −0.668293 | − | 0.743898i | \(-0.732975\pi\) |
0.691877 | + | 0.722016i | \(0.256784\pi\) | |||||||
\(828\) | 854.966 | + | 1072.09i | 0.00124706 | + | 0.00156377i | ||||
\(829\) | −418174. | + | 613348.i | −0.608482 | + | 0.892479i | −0.999612 | − | 0.0278561i | \(-0.991132\pi\) |
0.391130 | + | 0.920336i | \(0.372084\pi\) | |||||||
\(830\) | −399057. | − | 370271.i | −0.579267 | − | 0.537481i | ||||
\(831\) | 8406.91 | − | 112182.i | 0.0121740 | − | 0.162451i | ||||
\(832\) | −77342.9 | − | 197066.i | −0.111731 | − | 0.284686i | ||||
\(833\) | −86858.2 | − | 380551.i | −0.125176 | − | 0.548432i | ||||
\(834\) | −248247. | − | 76574.0i | −0.356904 | − | 0.110090i | ||||
\(835\) | −159287. | − | 233631.i | −0.228458 | − | 0.335086i | ||||
\(836\) | −157470. | + | 1.04474e6i | −0.225312 | + | 1.49485i | ||||
\(837\) | 919796. | + | 360993.i | 1.31293 | + | 0.515286i | ||||
\(838\) | 74547.5 | + | 35900.2i | 0.106156 | + | 0.0511221i | ||||
\(839\) | −9870.20 | + | 20495.7i | −0.0140217 | + | 0.0291165i | −0.907862 | − | 0.419269i | \(-0.862286\pi\) |
0.893840 | + | 0.448385i | \(0.148001\pi\) | |||||||
\(840\) | −87669.6 | + | 223378.i | −0.124248 | + | 0.316579i | ||||
\(841\) | −648582. | − | 97758.0i | −0.917007 | − | 0.138217i | ||||
\(842\) | −48471.7 | + | 33047.5i | −0.0683698 | + | 0.0466137i | ||||
\(843\) | 346379. | − | 1.12293e6i | 0.487412 | − | 1.58015i | ||||
\(844\) | −382338. | + | 87266.2i | −0.536739 | + | 0.122507i | ||||
\(845\) | −231744. | + | 90952.8i | −0.324560 | + | 0.127380i | ||||
\(846\) | −22624.8 | − | 1695.50i | −0.0316114 | − | 0.00236895i | ||||
\(847\) | −8434.06 | + | 9089.75i | −0.0117563 | + | 0.0126703i | ||||
\(848\) | 293658. | + | 200213.i | 0.408367 | + | 0.278420i | ||||
\(849\) | 837383. | − | 667790.i | 1.16174 | − | 0.926456i | ||||
\(850\) | −84996.9 | − | 91604.9i | −0.117643 | − | 0.126789i | ||||
\(851\) | −1672.31 | − | 11095.0i | −0.00230917 | − | 0.0153204i | ||||
\(852\) | −18691.0 | + | 81890.7i | −0.0257486 | + | 0.112812i | ||||
\(853\) | −280827. | + | 486407.i | −0.385959 | + | 0.668501i | −0.991902 | − | 0.127008i | \(-0.959463\pi\) |
0.605943 | + | 0.795508i | \(0.292796\pi\) | |||||||
\(854\) | 70439.3 | − | 40668.2i | 0.0965827 | − | 0.0557620i | ||||
\(855\) | −159740. | + | 49273.2i | −0.218515 | + | 0.0674029i | ||||
\(856\) | 581969. | + | 464105.i | 0.794241 | + | 0.633386i | ||||
\(857\) | −46234.7 | − | 616959.i | −0.0629515 | − | 0.840030i | −0.935911 | − | 0.352237i | \(-0.885421\pi\) |
0.872959 | − | 0.487793i | \(-0.162198\pi\) | |||||||
\(858\) | −182108. | + | 87698.6i | −0.247374 | + | 0.119129i | ||||
\(859\) | 131420.i | 0.178105i | 0.996027 | + | 0.0890524i | \(0.0283839\pi\) | ||||
−0.996027 | + | 0.0890524i | \(0.971616\pi\) | |||||||
\(860\) | 809740. | − | 285647.i | 1.09483 | − | 0.386219i | ||||
\(861\) | −219441. | −0.296013 | ||||||||
\(862\) | −37850.7 | − | 78597.8i | −0.0509401 | − | 0.105778i | ||||
\(863\) | 786197. | − | 58917.3i | 1.05563 | − | 0.0791082i | 0.464409 | − | 0.885621i | \(-0.346267\pi\) |
0.591217 | + | 0.806513i | \(0.298648\pi\) | |||||||
\(864\) | −424769. | + | 532643.i | −0.569016 | + | 0.713524i | ||||
\(865\) | −36081.5 | − | 116973.i | −0.0482229 | − | 0.156335i | ||||
\(866\) | 84636.3 | + | 146594.i | 0.112855 | + | 0.195471i | ||||
\(867\) | −329827. | − | 190426.i | −0.438781 | − | 0.253330i | ||||
\(868\) | 367302. | + | 83834.3i | 0.487510 | + | 0.111271i | ||||
\(869\) | −1.05956e6 | + | 159702.i | −1.40309 | + | 0.211481i | ||||
\(870\) | 64412.7 | − | 59766.2i | 0.0851006 | − | 0.0789618i | ||||
\(871\) | −331573. | − | 415779.i | −0.437061 | − | 0.548058i | ||||
\(872\) | 177192. | − | 259892.i | 0.233029 | − | 0.341791i | ||||
\(873\) | 73193.1 | + | 67913.3i | 0.0960377 | + | 0.0891099i | ||||
\(874\) | −788.987 | + | 10528.3i | −0.00103287 | + | 0.0137827i | ||||
\(875\) | 40932.9 | + | 104295.i | 0.0534634 | + | 0.136222i | ||||
\(876\) | 199551. | + | 874290.i | 0.260043 | + | 1.13932i | ||||
\(877\) | 627020. | + | 193410.i | 0.815234 | + | 0.251466i | 0.674210 | − | 0.738540i | \(-0.264484\pi\) |
0.141024 | + | 0.990006i | \(0.454960\pi\) | |||||||
\(878\) | 291180. | + | 427082.i | 0.377722 | + | 0.554017i | ||||
\(879\) | −151624. | + | 1.00596e6i | −0.196241 | + | 1.30198i | ||||
\(880\) | −611864. | − | 240139.i | −0.790114 | − | 0.310097i | ||||
\(881\) | 716166. | + | 344887.i | 0.922703 | + | 0.444350i | 0.834035 | − | 0.551711i | \(-0.186025\pi\) |
0.0886675 | + | 0.996061i | \(0.471739\pi\) | |||||||
\(882\) | −9493.50 | + | 19713.5i | −0.0122036 | + | 0.0253411i | ||||
\(883\) | −141547. | + | 360656.i | −0.181543 | + | 0.462564i | −0.992456 | − | 0.122603i | \(-0.960876\pi\) |
0.810913 | + | 0.585167i | \(0.198971\pi\) | |||||||
\(884\) | 398734. | + | 60099.4i | 0.510244 | + | 0.0769070i | ||||
\(885\) | 683531. | − | 466024.i | 0.872714 | − | 0.595006i | ||||
\(886\) | −2807.84 | + | 9102.81i | −0.00357689 | + | 0.0115960i | ||||
\(887\) | −698613. | + | 159454.i | −0.887952 | + | 0.202669i | −0.642084 | − | 0.766634i | \(-0.721930\pi\) |
−0.245868 | + | 0.969303i | \(0.579073\pi\) | |||||||
\(888\) | 305484. | − | 119894.i | 0.387403 | − | 0.152045i | ||||
\(889\) | 292977. | + | 21955.6i | 0.370707 | + | 0.0277806i | ||||
\(890\) | 383231. | − | 413025.i | 0.483817 | − | 0.521431i | ||||
\(891\) | −572331. | − | 390209.i | −0.720928 | − | 0.491520i | ||||
\(892\) | 25915.1 | − | 20666.6i | 0.0325704 | − | 0.0259740i | ||||
\(893\) | 882283. | + | 950875.i | 1.10638 | + | 1.19240i | ||||
\(894\) | −28592.9 | − | 189702.i | −0.0357753 | − | 0.237354i | ||||
\(895\) | 207786. | − | 910372.i | 0.259401 | − | 1.13651i | ||||
\(896\) | −168069. | + | 291104.i | −0.209349 | + | 0.362604i | ||||
\(897\) | 12988.8 | − | 7499.08i | 0.0161430 | − | 0.00932015i | ||||
\(898\) | −56431.9 | + | 17406.9i | −0.0699797 | + | 0.0215859i | ||||
\(899\) | −230240. | − | 183610.i | −0.284879 | − | 0.227184i | ||||
\(900\) | −3887.09 | − | 51869.6i | −0.00479888 | − | 0.0640365i | ||||
\(901\) | −375099. | + | 180638.i | −0.462057 | + | 0.222515i | ||||
\(902\) | 203960.i | 0.250688i | ||||||||
\(903\) | 313522. | − | 84860.7i | 0.384496 | − | 0.104071i | ||||
\(904\) | −501823. | −0.614064 | ||||||||
\(905\) | −816548. | − | 1.69558e6i | −0.996975 | − | 2.07024i | ||||
\(906\) | −58192.1 | + | 4360.90i | −0.0708938 | + | 0.00531275i | ||||
\(907\) | 185899. | − | 233110.i | 0.225977 | − | 0.283366i | −0.655898 | − | 0.754849i | \(-0.727710\pi\) |
0.881875 | + | 0.471484i | \(0.156281\pi\) | |||||||
\(908\) | 204751. | + | 663786.i | 0.248344 | + | 0.805112i | ||||
\(909\) | 57435.9 | + | 99482.0i | 0.0695114 | + | 0.120397i | ||||
\(910\) | −117123. | − | 67621.2i | −0.141436 | − | 0.0816582i | ||||
\(911\) | 646447. | + | 147547.i | 0.778926 | + | 0.177785i | 0.593457 | − | 0.804866i | \(-0.297763\pi\) |
0.185468 | + | 0.982650i | \(0.440620\pi\) | |||||||
\(912\) | 899858. | − | 135632.i | 1.08189 | − | 0.163069i | ||||
\(913\) | 1.04184e6 | − | 966689.i | 1.24986 | − | 1.15970i | ||||
\(914\) | 19714.8 | + | 24721.5i | 0.0235993 | + | 0.0295926i | ||||
\(915\) | 454870. | − | 667172.i | 0.543307 | − | 0.796884i | ||||
\(916\) | −501523. | − | 465345.i | −0.597723 | − | 0.554606i | ||||
\(917\) | 10980.4 | − | 146523.i | 0.0130581 | − | 0.174248i | ||||
\(918\) | −75551.7 | − | 192503.i | −0.0896518 | − | 0.228429i | ||||
\(919\) | 56507.1 | + | 247574.i | 0.0669071 | + | 0.293139i | 0.997301 | − | 0.0734223i | \(-0.0233921\pi\) |
−0.930394 | + | 0.366561i | \(0.880535\pi\) | |||||||
\(920\) | −15814.7 | − | 4878.19i | −0.0186847 | − | 0.00576346i | ||||
\(921\) | −496795. | − | 728664.i | −0.585676 | − | 0.859029i | ||||
\(922\) | −26017.4 | + | 172614.i | −0.0306057 | + | 0.203055i | ||||
\(923\) | −94068.8 | − | 36919.3i | −0.110419 | − | 0.0433361i | ||||
\(924\) | −264421. | − | 127339.i | −0.309708 | − | 0.149148i | ||||
\(925\) | −184667. | + | 383465.i | −0.215827 | + | 0.448169i | ||||
\(926\) | 149350. | − | 380539.i | 0.174174 | − | 0.443789i | ||||
\(927\) | −83679.8 | − | 12612.7i | −0.0973781 | − | 0.0146774i | ||||
\(928\) | 167763. | − | 114379.i | 0.194805 | − | 0.132816i | ||||
\(929\) | 508348. | − | 1.64802e6i | 0.589020 | − | 1.90956i | 0.255539 | − | 0.966799i | \(-0.417747\pi\) |
0.333481 | − | 0.942757i | \(-0.391777\pi\) | |||||||
\(930\) | −491064. | + | 112082.i | −0.567770 | + | 0.129590i | ||||
\(931\) | 1.16448e6 | − | 457024.i | 1.34348 | − | 0.527278i | ||||
\(932\) | 328197. | + | 24595.0i | 0.377836 | + | 0.0283149i | ||||
\(933\) | −564568. | + | 608460.i | −0.648565 | + | 0.698986i | ||||
\(934\) | 407903. | + | 278103.i | 0.467587 | + | 0.318796i | ||||
\(935\) | 601972. | − | 480057.i | 0.688578 | − | 0.549123i | ||||
\(936\) | −32818.8 | − | 35370.3i | −0.0374603 | − | 0.0403726i | ||||
\(937\) | 154518. | + | 1.02516e6i | 0.175995 | + | 1.16765i | 0.886079 | + | 0.463535i | \(0.153419\pi\) |
−0.710083 | + | 0.704118i | \(0.751343\pi\) | |||||||
\(938\) | −23139.6 | + | 101381.i | −0.0262996 | + | 0.115226i | ||||
\(939\) | −755623. | + | 1.30878e6i | −0.856986 | + | 1.48434i | ||||
\(940\) | −824919. | + | 476267.i | −0.933589 | + | 0.539008i | ||||
\(941\) | 1.34140e6 | − | 413767.i | 1.51488 | − | 0.467279i | 0.577738 | − | 0.816222i | \(-0.303935\pi\) |
0.937144 | + | 0.348943i | \(0.113459\pi\) | |||||||
\(942\) | −41253.8 | − | 32898.8i | −0.0464903 | − | 0.0370748i | ||||
\(943\) | −1130.99 | − | 15092.1i | −0.00127185 | − | 0.0169717i | ||||
\(944\) | 446313. | − | 214933.i | 0.500836 | − | 0.241190i | ||||
\(945\) | − | 515027.i | − | 0.576722i | ||||||
\(946\) | −78874.2 | − | 291404.i | −0.0881359 | − | 0.325622i | ||||
\(947\) | 610570. | 0.680825 | 0.340412 | − | 0.940276i | \(-0.389433\pi\) | ||||
0.340412 | + | 0.940276i | \(0.389433\pi\) | |||||||
\(948\) | 472667. | + | 981503.i | 0.525943 | + | 1.09213i | ||||
\(949\) | −1.07587e6 | + | 80625.3i | −1.19461 | + | 0.0895238i | ||||
\(950\) | 249697. | − | 313110.i | 0.276673 | − | 0.346937i | ||||
\(951\) | −287650. | − | 932538.i | −0.318056 | − | 1.03111i | ||||
\(952\) | −84158.2 | − | 145766.i | −0.0928587 | − | 0.160836i | ||||
\(953\) | −1.11326e6 | − | 642742.i | −1.22578 | − | 0.707703i | −0.259634 | − | 0.965707i | \(-0.583602\pi\) |
−0.966144 | + | 0.258004i | \(0.916935\pi\) | |||||||
\(954\) | 22752.1 | + | 5193.01i | 0.0249991 | + | 0.00570588i | ||||
\(955\) | −2.10095e6 | + | 316667.i | −2.30361 | + | 0.347213i | ||||
\(956\) | 466780. | − | 433109.i | 0.510736 | − | 0.473894i | ||||
\(957\) | 143032. | + | 179356.i | 0.156174 | + | 0.195836i | ||||
\(958\) | 66526.4 | − | 97576.3i | 0.0724875 | − | 0.106320i | ||||
\(959\) | 124079. | + | 115128.i | 0.134915 | + | 0.125183i | ||||
\(960\) | −30711.4 | + | 409816.i | −0.0333240 | + | 0.444679i | ||||
\(961\) | 279330. | + | 711721.i | 0.302462 | + | 0.770660i | ||||
\(962\) | 41155.8 | + | 180315.i | 0.0444714 | + | 0.194842i | ||||
\(963\) | −137641. | − | 42456.6i | −0.148421 | − | 0.0457818i | ||||
\(964\) | −795839. | − | 1.16728e6i | −0.856389 | − | 1.25609i | ||||
\(965\) | 2806.41 | − | 18619.3i | 0.00301368 | − | 0.0199944i | ||||
\(966\) | −2730.01 | − | 1071.45i | −0.00292557 | − | 0.00114820i | ||||
\(967\) | 78013.3 | + | 37569.2i | 0.0834287 | + | 0.0401772i | 0.475133 | − | 0.879914i | \(-0.342400\pi\) |
−0.391704 | + | 0.920091i | \(0.628114\pi\) | |||||||
\(968\) | 10852.5 | − | 22535.5i | 0.0115819 | − | 0.0240500i | ||||
\(969\) | −389448. | + | 992298.i | −0.414765 | + | 1.05680i | ||||
\(970\) | −558219. | − | 84138.0i | −0.593282 | − | 0.0894229i | ||||
\(971\) | −27512.9 | + | 18758.0i | −0.0291809 | + | 0.0198952i | −0.577823 | − | 0.816162i | \(-0.696097\pi\) |
0.548642 | + | 0.836058i | \(0.315145\pi\) | |||||||
\(972\) | 48456.2 | − | 157091.i | 0.0512881 | − | 0.166272i | ||||
\(973\) | 442438. | − | 100984.i | 0.467334 | − | 0.106666i | ||||
\(974\) | −419607. | + | 164684.i | −0.442308 | + | 0.173593i | ||||
\(975\) | −567325. | − | 42515.1i | −0.596791 | − | 0.0447233i | ||||
\(976\) | 328873. | − | 354441.i | 0.345246 | − | 0.372086i | ||||
\(977\) | 1.40092e6 | + | 955132.i | 1.46766 | + | 1.00063i | 0.992698 | + | 0.120624i | \(0.0384895\pi\) |
0.474959 | + | 0.880008i | \(0.342463\pi\) | |||||||
\(978\) | −77115.2 | + | 61497.3i | −0.0806236 | + | 0.0642952i | ||||
\(979\) | 1.00053e6 | + | 1.07831e6i | 1.04391 | + | 1.12507i | ||||
\(980\) | 136912. | + | 908353.i | 0.142558 | + | 0.945807i | ||||
\(981\) | −13544.3 | + | 59341.4i | −0.0140740 | + | 0.0616623i | ||||
\(982\) | −128721. | + | 222951.i | −0.133483 | + | 0.231199i | ||||
\(983\) | −41611.6 | + | 24024.4i | −0.0430633 | + | 0.0248626i | −0.521377 | − | 0.853326i | \(-0.674581\pi\) |
0.478314 | + | 0.878189i | \(0.341248\pi\) | |||||||
\(984\) | 422981. | − | 130472.i | 0.436848 | − | 0.134750i | ||||
\(985\) | 1.92672e6 | + | 1.53651e6i | 1.98585 | + | 1.58366i | ||||
\(986\) | 4605.83 | + | 61460.6i | 0.00473756 | + | 0.0632183i | ||||
\(987\) | −324636. | + | 156337.i | −0.333244 | + | 0.160482i | ||||
\(988\) | 1.29229e6i | 1.32388i | ||||||||
\(989\) | 7452.18 | + | 21125.1i | 0.00761887 | + | 0.0215976i | ||||
\(990\) | −43159.5 | −0.0440358 | ||||||||
\(991\) | 271052. | + | 562845.i | 0.275997 | + | 0.573115i | 0.992182 | − | 0.124796i | \(-0.0398276\pi\) |
−0.716185 | + | 0.697910i | \(0.754113\pi\) | |||||||
\(992\) | −1.16065e6 | + | 86979.0i | −1.17945 | + | 0.0883876i | ||||
\(993\) | −286394. | + | 359127.i | −0.290446 | + | 0.364208i | ||||
\(994\) | 5824.41 | + | 18882.3i | 0.00589493 | + | 0.0191109i | ||||
\(995\) | −862027. | − | 1.49307e6i | −0.870712 | − | 1.50812i | ||||
\(996\) | −1.25135e6 | − | 722466.i | −1.26142 | − | 0.728281i | ||||
\(997\) | −798097. | − | 182160.i | −0.802907 | − | 0.183258i | −0.198674 | − | 0.980066i | \(-0.563663\pi\) |
−0.604233 | + | 0.796807i | \(0.706521\pi\) | |||||||
\(998\) | −396137. | + | 59708.0i | −0.397726 | + | 0.0599475i | ||||
\(999\) | −516313. | + | 479068.i | −0.517347 | + | 0.480028i |
(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 | 43.5.h.a.29.9 | yes | 168 | |
43.3 | odd | 42 | inner | 43.5.h.a.3.9 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.3.9 | ✓ | 168 | 43.3 | odd | 42 | inner | |
43.5.h.a.29.9 | yes | 168 | 1.1 | even | 1 | trivial |