Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,3,Mod(125,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.125");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.x (of order \(12\), degree \(4\), not 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: | \(11.7711474204\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 144) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 413.44 | ||
Character | \(\chi\) | \(=\) | 432.413 |
Dual form | 432.3.x.a.341.44 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.98351 | + | 0.256277i | 0.991756 | + | 0.128138i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.86864 | + | 1.01666i | 0.967161 | + | 0.254164i | ||||
\(5\) | −1.00259 | + | 3.74171i | −0.200517 | + | 0.748341i | 0.790252 | + | 0.612782i | \(0.209950\pi\) |
−0.990769 | + | 0.135559i | \(0.956717\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.65369 | + | 2.68681i | 0.664813 | + | 0.383830i | 0.794108 | − | 0.607776i | \(-0.207938\pi\) |
−0.129295 | + | 0.991606i | \(0.541272\pi\) | |||||||
\(8\) | 7.41296 | + | 3.00800i | 0.926620 | + | 0.375999i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.94756 | + | 7.16478i | −0.294756 | + | 0.716478i | ||||
\(11\) | −12.4933 | + | 3.34758i | −1.13576 | + | 0.304325i | −0.777244 | − | 0.629200i | \(-0.783383\pi\) |
−0.358513 | + | 0.933525i | \(0.616716\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.07587 | + | 11.4793i | −0.236605 | + | 0.883024i | 0.740813 | + | 0.671711i | \(0.234440\pi\) |
−0.977419 | + | 0.211312i | \(0.932226\pi\) | |||||||
\(14\) | 8.54209 | + | 6.52195i | 0.610149 | + | 0.465854i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 13.9328 | + | 7.86617i | 0.870801 | + | 0.491635i | ||||
\(17\) | − | 11.8846i | − | 0.699092i | −0.936919 | − | 0.349546i | \(-0.886336\pi\) | ||
0.936919 | − | 0.349546i | \(-0.113664\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 20.1387 | + | 20.1387i | 1.05993 | + | 1.05993i | 0.998086 | + | 0.0618460i | \(0.0196988\pi\) |
0.0618460 | + | 0.998086i | \(0.480301\pi\) | |||||||
\(20\) | −7.68268 | + | 13.4560i | −0.384134 | + | 0.672802i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −25.6386 | + | 3.43821i | −1.16539 | + | 0.156282i | ||||
\(23\) | −4.74003 | − | 8.20998i | −0.206088 | − | 0.356955i | 0.744391 | − | 0.667744i | \(-0.232740\pi\) |
−0.950479 | + | 0.310789i | \(0.899407\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.65545 | + | 4.99723i | 0.346218 | + | 0.199889i | ||||
\(26\) | −9.04291 | + | 21.9811i | −0.347804 | + | 0.845426i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 15.2719 | + | 15.1255i | 0.545425 | + | 0.540197i | ||||
\(29\) | −5.39392 | − | 20.1304i | −0.185997 | − | 0.694151i | −0.994415 | − | 0.105542i | \(-0.966342\pi\) |
0.808418 | − | 0.588609i | \(-0.200324\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −19.3613 | − | 33.5347i | −0.624557 | − | 1.08176i | −0.988626 | − | 0.150393i | \(-0.951946\pi\) |
0.364069 | − | 0.931372i | \(-0.381387\pi\) | |||||||
\(32\) | 25.6200 | + | 19.1733i | 0.800625 | + | 0.599166i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.04574 | − | 23.5732i | 0.0895805 | − | 0.693329i | ||||
\(35\) | −14.7190 | + | 14.7190i | −0.420542 | + | 0.420542i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.65467 | − | 9.65467i | 0.260937 | − | 0.260937i | −0.564498 | − | 0.825435i | \(-0.690930\pi\) |
0.825435 | + | 0.564498i | \(0.190930\pi\) | |||||||
\(38\) | 34.7843 | + | 45.1065i | 0.915376 | + | 1.18701i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −18.6872 | + | 24.7213i | −0.467179 | + | 0.618033i | ||||
\(41\) | 11.7420 | + | 20.3377i | 0.286390 | + | 0.496042i | 0.972945 | − | 0.231036i | \(-0.0742114\pi\) |
−0.686555 | + | 0.727077i | \(0.740878\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 19.5292 | + | 72.8841i | 0.454168 | + | 1.69498i | 0.690521 | + | 0.723312i | \(0.257381\pi\) |
−0.236353 | + | 0.971667i | \(0.575952\pi\) | |||||||
\(44\) | −51.7356 | + | 0.249158i | −1.17581 | + | 0.00566269i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.29789 | − | 17.4994i | −0.158650 | − | 0.380421i | ||||
\(47\) | 18.4560 | + | 10.6556i | 0.392682 | + | 0.226715i | 0.683321 | − | 0.730118i | \(-0.260535\pi\) |
−0.290640 | + | 0.956833i | \(0.593868\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −10.0621 | − | 17.4281i | −0.205349 | − | 0.355675i | ||||
\(50\) | 15.8875 | + | 12.1303i | 0.317750 | + | 0.242605i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −23.5700 | + | 41.2822i | −0.453269 | + | 0.793889i | ||||
\(53\) | 21.4244 | + | 21.4244i | 0.404234 | + | 0.404234i | 0.879722 | − | 0.475488i | \(-0.157729\pi\) |
−0.475488 | + | 0.879722i | \(0.657729\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 50.1026i | − | 0.910956i | ||||||
\(56\) | 26.4157 | + | 33.9155i | 0.471709 | + | 0.605634i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.53996 | − | 41.3112i | −0.0955165 | − | 0.712262i | ||||
\(59\) | 6.02423 | − | 22.4827i | 0.102106 | − | 0.381063i | −0.895895 | − | 0.444266i | \(-0.853465\pi\) |
0.998001 | + | 0.0632023i | \(0.0201313\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 58.9293 | − | 15.7901i | 0.966054 | − | 0.258853i | 0.258893 | − | 0.965906i | \(-0.416642\pi\) |
0.707161 | + | 0.707053i | \(0.249976\pi\) | |||||||
\(62\) | −29.8091 | − | 71.4783i | −0.480793 | − | 1.15288i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 45.9039 | + | 44.5963i | 0.717249 | + | 0.696817i | ||||
\(65\) | −39.8684 | − | 23.0180i | −0.613359 | − | 0.354123i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 24.1615 | − | 90.1720i | 0.360620 | − | 1.34585i | −0.512643 | − | 0.858602i | \(-0.671334\pi\) |
0.873263 | − | 0.487249i | \(-0.162000\pi\) | |||||||
\(68\) | 12.0825 | − | 45.9771i | 0.177684 | − | 0.676134i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −32.9674 | + | 25.4232i | −0.470963 | + | 0.363188i | ||||
\(71\) | −124.525 | −1.75387 | −0.876935 | − | 0.480609i | \(-0.840416\pi\) | ||||
−0.876935 | + | 0.480609i | \(0.840416\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 86.4217i | − | 1.18386i | −0.805990 | − | 0.591930i | \(-0.798366\pi\) | ||
0.805990 | − | 0.591930i | \(-0.201634\pi\) | |||||||
\(74\) | 21.6244 | − | 16.6759i | 0.292222 | − | 0.225350i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 57.4353 | + | 98.3836i | 0.755728 | + | 1.29452i | ||||
\(77\) | −67.1344 | − | 17.9886i | −0.871875 | − | 0.233618i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 46.4211 | − | 80.4037i | 0.587609 | − | 1.01777i | −0.406936 | − | 0.913457i | \(-0.633403\pi\) |
0.994545 | − | 0.104311i | \(-0.0332639\pi\) | |||||||
\(80\) | −43.4018 | + | 44.2460i | −0.542522 | + | 0.553075i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 18.0783 | + | 43.3493i | 0.220467 | + | 0.528650i | ||||
\(83\) | −20.2421 | − | 75.5446i | −0.243881 | − | 0.910176i | −0.973943 | − | 0.226795i | \(-0.927175\pi\) |
0.730062 | − | 0.683381i | \(-0.239491\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 44.4685 | + | 11.9153i | 0.523159 | + | 0.140180i | ||||
\(86\) | 20.0580 | + | 149.571i | 0.233232 | + | 1.73920i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −102.682 | − | 12.7644i | −1.16684 | − | 0.145050i | ||||
\(89\) | 164.215 | 1.84511 | 0.922556 | − | 0.385863i | \(-0.126096\pi\) | ||||
0.922556 | + | 0.385863i | \(0.126096\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −45.1569 | + | 45.1569i | −0.496229 | + | 0.496229i | ||||
\(92\) | −9.99077 | − | 36.5805i | −0.108595 | − | 0.397614i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 33.8770 | + | 25.8654i | 0.360394 | + | 0.275164i | ||||
\(95\) | −95.5439 | + | 55.1623i | −1.00573 | + | 0.580656i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.8533 | − | 27.4588i | 0.163437 | − | 0.283080i | −0.772662 | − | 0.634817i | \(-0.781075\pi\) |
0.936099 | + | 0.351737i | \(0.114409\pi\) | |||||||
\(98\) | −15.4919 | − | 37.1475i | −0.158081 | − | 0.379056i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 28.4044 | + | 28.1321i | 0.284044 | + | 0.281321i | ||||
\(101\) | 120.067 | − | 32.1718i | 1.18878 | − | 0.318532i | 0.390376 | − | 0.920656i | \(-0.372345\pi\) |
0.798403 | + | 0.602123i | \(0.205678\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −163.306 | + | 94.2846i | −1.58549 | + | 0.915384i | −0.591455 | + | 0.806338i | \(0.701446\pi\) |
−0.994037 | + | 0.109046i | \(0.965220\pi\) | |||||||
\(104\) | −57.3310 | + | 75.8434i | −0.551260 | + | 0.729264i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 37.0050 | + | 47.9862i | 0.349104 | + | 0.452700i | ||||
\(107\) | −96.3954 | − | 96.3954i | −0.900891 | − | 0.900891i | 0.0946220 | − | 0.995513i | \(-0.469836\pi\) |
−0.995513 | + | 0.0946220i | \(0.969836\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −111.267 | − | 111.267i | −1.02079 | − | 1.02079i | −0.999779 | − | 0.0210151i | \(-0.993310\pi\) |
−0.0210151 | − | 0.999779i | \(-0.506690\pi\) | |||||||
\(110\) | 12.8401 | − | 99.3791i | 0.116729 | − | 0.903447i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 43.7041 | + | 74.0415i | 0.390215 | + | 0.661085i | ||||
\(113\) | 53.6807 | − | 30.9926i | 0.475051 | − | 0.274271i | −0.243301 | − | 0.969951i | \(-0.578230\pi\) |
0.718352 | + | 0.695680i | \(0.244897\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 35.4716 | − | 9.50459i | 0.308449 | − | 0.0826486i | ||||
\(116\) | −0.401466 | − | 83.3611i | −0.00346092 | − | 0.718630i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 17.7109 | − | 43.0509i | 0.150093 | − | 0.364838i | ||||
\(119\) | 31.9316 | − | 55.3071i | 0.268332 | − | 0.464765i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 40.0879 | − | 23.1447i | 0.331305 | − | 0.191279i | ||||
\(122\) | 120.934 | − | 16.2176i | 0.991259 | − | 0.132931i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −40.8086 | − | 149.418i | −0.329101 | − | 1.20498i | ||||
\(125\) | −95.8540 | + | 95.8540i | −0.766832 | + | 0.766832i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −56.7743 | −0.447041 | −0.223521 | − | 0.974699i | \(-0.571755\pi\) | ||||
−0.223521 | + | 0.974699i | \(0.571755\pi\) | |||||||
\(128\) | 79.6220 | + | 100.221i | 0.622047 | + | 0.782980i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −73.1804 | − | 55.8739i | −0.562926 | − | 0.429799i | ||||
\(131\) | −53.4982 | − | 14.3348i | −0.408383 | − | 0.109426i | 0.0487784 | − | 0.998810i | \(-0.484467\pi\) |
−0.457161 | + | 0.889384i | \(0.651134\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 39.6104 | + | 147.828i | 0.297823 | + | 1.11149i | ||||
\(134\) | 71.0337 | − | 172.665i | 0.530102 | − | 1.28855i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 35.7487 | − | 88.0998i | 0.262858 | − | 0.647792i | ||||
\(137\) | 52.5810 | − | 91.0730i | 0.383803 | − | 0.664766i | −0.607799 | − | 0.794091i | \(-0.707948\pi\) |
0.991602 | + | 0.129324i | \(0.0412809\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −97.9157 | − | 26.2364i | −0.704429 | − | 0.188751i | −0.111216 | − | 0.993796i | \(-0.535474\pi\) |
−0.593214 | + | 0.805045i | \(0.702141\pi\) | |||||||
\(140\) | −71.9067 | + | 41.9784i | −0.513619 | + | 0.299845i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −246.996 | − | 31.9128i | −1.73941 | − | 0.224738i | ||||
\(143\) | − | 153.711i | − | 1.07491i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 80.7299 | 0.556758 | ||||||||
\(146\) | 22.1479 | − | 171.419i | 0.151698 | − | 1.17410i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 47.1660 | − | 27.5350i | 0.318689 | − | 0.186047i | ||||
\(149\) | −54.4787 | + | 203.317i | −0.365629 | + | 1.36454i | 0.500938 | + | 0.865483i | \(0.332989\pi\) |
−0.866566 | + | 0.499062i | \(0.833678\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −126.469 | − | 73.0167i | −0.837541 | − | 0.483554i | 0.0188867 | − | 0.999822i | \(-0.493988\pi\) |
−0.856428 | + | 0.516267i | \(0.827321\pi\) | |||||||
\(152\) | 88.7102 | + | 209.865i | 0.583620 | + | 1.38069i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −128.552 | − | 52.8856i | −0.834752 | − | 0.343413i | ||||
\(155\) | 144.888 | − | 38.8227i | 0.934764 | − | 0.250469i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 27.0148 | − | 100.820i | 0.172069 | − | 0.642168i | −0.824964 | − | 0.565185i | \(-0.808805\pi\) |
0.997032 | − | 0.0769830i | \(-0.0245287\pi\) | |||||||
\(158\) | 112.682 | − | 147.585i | 0.713180 | − | 0.934083i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −97.4272 | + | 76.6396i | −0.608920 | + | 0.478998i | ||||
\(161\) | − | 50.9423i | − | 0.316412i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 33.4075 | + | 33.4075i | 0.204954 | + | 0.204954i | 0.802119 | − | 0.597165i | \(-0.203706\pi\) |
−0.597165 | + | 0.802119i | \(0.703706\pi\) | |||||||
\(164\) | 24.7491 | + | 90.6169i | 0.150909 | + | 0.552542i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.7902 | − | 155.031i | −0.125242 | − | 0.933923i | ||||
\(167\) | 83.3490 | + | 144.365i | 0.499096 | + | 0.864459i | 0.999999 | − | 0.00104367i | \(-0.000332212\pi\) |
−0.500904 | + | 0.865503i | \(0.666999\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 24.0448 | + | 13.8823i | 0.142277 | + | 0.0821437i | ||||
\(170\) | 85.1503 | + | 35.0304i | 0.500884 | + | 0.206061i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.45355 | + | 301.817i | 0.00845087 | + | 1.75475i | ||||
\(173\) | 18.3433 | + | 68.4582i | 0.106031 | + | 0.395712i | 0.998460 | − | 0.0554750i | \(-0.0176673\pi\) |
−0.892429 | + | 0.451187i | \(0.851001\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 26.8532 | + | 46.5111i | 0.153447 | + | 0.265778i | ||||
\(176\) | −200.400 | − | 51.6334i | −1.13864 | − | 0.293372i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 325.722 | + | 42.0845i | 1.82990 | + | 0.236430i | ||||
\(179\) | 145.221 | − | 145.221i | 0.811290 | − | 0.811290i | −0.173538 | − | 0.984827i | \(-0.555520\pi\) |
0.984827 | + | 0.173538i | \(0.0555198\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 84.5981 | − | 84.5981i | 0.467393 | − | 0.467393i | −0.433676 | − | 0.901069i | \(-0.642784\pi\) |
0.901069 | + | 0.433676i | \(0.142784\pi\) | |||||||
\(182\) | −101.142 | + | 77.9965i | −0.555725 | + | 0.428552i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.4421 | − | 75.1182i | −0.0567505 | − | 0.408251i | ||||
\(185\) | 26.4453 | + | 45.8046i | 0.142948 | + | 0.247592i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 39.7845 | + | 148.478i | 0.212751 | + | 0.793998i | ||||
\(188\) | 60.5668 | + | 59.9862i | 0.322164 | + | 0.319075i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −203.649 | + | 84.9294i | −1.07184 | + | 0.446997i | ||||
\(191\) | 9.02196 | + | 5.20883i | 0.0472354 | + | 0.0272714i | 0.523432 | − | 0.852068i | \(-0.324652\pi\) |
−0.476196 | + | 0.879339i | \(0.657985\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 81.1839 | + | 140.615i | 0.420642 | + | 0.728573i | 0.996002 | − | 0.0893270i | \(-0.0284716\pi\) |
−0.575361 | + | 0.817900i | \(0.695138\pi\) | |||||||
\(194\) | 38.4824 | − | 50.4020i | 0.198363 | − | 0.259804i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −21.2083 | − | 77.6528i | −0.108206 | − | 0.396188i | ||||
\(197\) | 158.587 | + | 158.587i | 0.805013 | + | 0.805013i | 0.983874 | − | 0.178862i | \(-0.0572414\pi\) |
−0.178862 | + | 0.983874i | \(0.557241\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 88.5298i | − | 0.444874i | −0.974947 | − | 0.222437i | \(-0.928599\pi\) | ||
0.974947 | − | 0.222437i | \(-0.0714011\pi\) | |||||||
\(200\) | 49.1309 | + | 63.0798i | 0.245654 | + | 0.315399i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 246.399 | − | 33.0428i | 1.21980 | − | 0.163578i | ||||
\(203\) | 28.9849 | − | 108.173i | 0.142783 | − | 0.532872i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −87.8701 | + | 23.5447i | −0.428635 | + | 0.114852i | ||||
\(206\) | −348.082 | + | 145.163i | −1.68972 | + | 0.704675i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −133.154 | + | 135.744i | −0.640162 | + | 0.652614i | ||||
\(209\) | −319.015 | − | 184.184i | −1.52639 | − | 0.881261i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −75.6516 | + | 282.335i | −0.358538 | + | 1.33808i | 0.517435 | + | 0.855723i | \(0.326887\pi\) |
−0.875973 | + | 0.482360i | \(0.839780\pi\) | |||||||
\(212\) | 61.1021 | + | 104.665i | 0.288218 | + | 0.493701i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −166.498 | − | 215.905i | −0.778026 | − | 1.00890i | ||||
\(215\) | −292.291 | −1.35949 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 208.080i | − | 0.958895i | ||||||
\(218\) | −192.184 | − | 249.214i | −0.881576 | − | 1.14318i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 50.9371 | − | 193.829i | 0.231532 | − | 0.881042i | ||||
\(221\) | 136.427 | + | 36.5554i | 0.617315 | + | 0.165409i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −39.5000 | + | 68.4160i | −0.177130 | + | 0.306798i | −0.940896 | − | 0.338695i | \(-0.890015\pi\) |
0.763766 | + | 0.645493i | \(0.223348\pi\) | |||||||
\(224\) | 67.7126 | + | 158.063i | 0.302288 | + | 0.705637i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 114.419 | − | 47.7170i | 0.506279 | − | 0.211137i | ||||
\(227\) | 39.7756 | + | 148.445i | 0.175223 | + | 0.653941i | 0.996514 | + | 0.0834312i | \(0.0265879\pi\) |
−0.821290 | + | 0.570510i | \(0.806745\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 142.591 | + | 38.2072i | 0.622669 | + | 0.166844i | 0.556341 | − | 0.830954i | \(-0.312205\pi\) |
0.0663280 | + | 0.997798i | \(0.478872\pi\) | |||||||
\(230\) | 72.7942 | − | 9.76192i | 0.316497 | − | 0.0424431i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.5672 | − | 165.451i | 0.0886517 | − | 0.713149i | ||||
\(233\) | −232.917 | −0.999644 | −0.499822 | − | 0.866128i | \(-0.666601\pi\) | ||||
−0.499822 | + | 0.866128i | \(0.666601\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −58.3739 | + | 58.3739i | −0.248400 | + | 0.248400i | ||||
\(236\) | 46.1628 | − | 80.8531i | 0.195605 | − | 0.342598i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 77.5106 | − | 101.519i | 0.325675 | − | 0.426550i | ||||
\(239\) | 71.3891 | − | 41.2165i | 0.298699 | − | 0.172454i | −0.343159 | − | 0.939277i | \(-0.611497\pi\) |
0.641858 | + | 0.766823i | \(0.278164\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 177.458 | − | 307.367i | 0.736342 | − | 1.27538i | −0.217790 | − | 0.975996i | \(-0.569885\pi\) |
0.954132 | − | 0.299387i | \(-0.0967820\pi\) | |||||||
\(242\) | 85.4462 | − | 35.6343i | 0.353084 | − | 0.147249i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 244.030 | − | 1.17524i | 1.00012 | − | 0.00481658i | ||||
\(245\) | 75.2989 | − | 20.1763i | 0.307342 | − | 0.0823522i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −293.122 | + | 169.234i | −1.18673 | + | 0.685159i | ||||
\(248\) | −42.6521 | − | 306.830i | −0.171984 | − | 1.23722i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −214.693 | + | 165.562i | −0.858771 | + | 0.662250i | ||||
\(251\) | 88.3235 | + | 88.3235i | 0.351886 | + | 0.351886i | 0.860811 | − | 0.508925i | \(-0.169957\pi\) |
−0.508925 | + | 0.860811i | \(0.669957\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 86.7023 | + | 86.7023i | 0.342697 | + | 0.342697i | ||||
\(254\) | −112.612 | − | 14.5499i | −0.443356 | − | 0.0572832i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 132.247 | + | 219.196i | 0.516589 | + | 0.856233i | ||||
\(257\) | 224.014 | − | 129.334i | 0.871649 | − | 0.503247i | 0.00375325 | − | 0.999993i | \(-0.498805\pi\) |
0.867896 | + | 0.496746i | \(0.165472\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 70.8701 | − | 18.9896i | 0.273630 | − | 0.0733189i | ||||
\(260\) | −130.835 | − | 129.581i | −0.503212 | − | 0.498388i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −102.441 | − | 42.1436i | −0.390995 | − | 0.160853i | ||||
\(263\) | −217.325 | + | 376.418i | −0.826331 | + | 1.43125i | 0.0745671 | + | 0.997216i | \(0.476243\pi\) |
−0.900898 | + | 0.434031i | \(0.857091\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −101.644 | + | 58.6840i | −0.383561 | + | 0.221449i | ||||
\(266\) | 40.6829 | + | 303.370i | 0.152943 | + | 1.14049i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 185.146 | − | 324.279i | 0.690844 | − | 1.21000i | ||||
\(269\) | −6.46656 | + | 6.46656i | −0.0240393 | + | 0.0240393i | −0.719024 | − | 0.694985i | \(-0.755411\pi\) |
0.694985 | + | 0.719024i | \(0.255411\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −162.021 | −0.597863 | −0.298932 | − | 0.954275i | \(-0.596630\pi\) | ||||
−0.298932 | + | 0.954275i | \(0.596630\pi\) | |||||||
\(272\) | 93.4859 | − | 165.585i | 0.343698 | − | 0.608770i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 127.635 | − | 167.169i | 0.465821 | − | 0.610106i | ||||
\(275\) | −124.864 | − | 33.4572i | −0.454051 | − | 0.121663i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 67.8658 | + | 253.279i | 0.245003 | + | 0.914364i | 0.973382 | + | 0.229189i | \(0.0736075\pi\) |
−0.728379 | + | 0.685175i | \(0.759726\pi\) | |||||||
\(278\) | −187.493 | − | 77.1338i | −0.674436 | − | 0.277460i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −153.386 | + | 64.8366i | −0.547807 | + | 0.231559i | ||||
\(281\) | −128.998 | + | 223.431i | −0.459067 | + | 0.795127i | −0.998912 | − | 0.0466376i | \(-0.985149\pi\) |
0.539845 | + | 0.841764i | \(0.318483\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −65.1839 | − | 17.4660i | −0.230332 | − | 0.0617172i | 0.141807 | − | 0.989894i | \(-0.454709\pi\) |
−0.372139 | + | 0.928177i | \(0.621375\pi\) | |||||||
\(284\) | −481.742 | − | 126.599i | −1.69628 | − | 0.445771i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 39.3927 | − | 304.889i | 0.137737 | − | 1.06604i | ||||
\(287\) | 126.194i | 0.439700i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 147.757 | 0.511271 | ||||||||
\(290\) | 160.129 | + | 20.6892i | 0.552168 | + | 0.0713421i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 87.8612 | − | 334.335i | 0.300895 | − | 1.14498i | ||||
\(293\) | 113.090 | − | 422.058i | 0.385973 | − | 1.44047i | −0.450655 | − | 0.892698i | \(-0.648809\pi\) |
0.836628 | − | 0.547772i | \(-0.184524\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 78.0840 | + | 45.0818i | 0.264691 | + | 0.152820i | ||||
\(296\) | 100.611 | − | 42.5285i | 0.339902 | − | 0.143677i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −160.165 | + | 389.321i | −0.537465 | + | 1.30644i | ||||
\(299\) | 108.825 | − | 29.1595i | 0.363962 | − | 0.0975232i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −104.943 | + | 391.652i | −0.348647 | + | 1.30117i | ||||
\(302\) | −232.140 | − | 177.241i | −0.768675 | − | 0.586889i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 122.174 | + | 439.003i | 0.401890 | + | 1.44409i | ||||
\(305\) | 236.327i | 0.774843i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 281.005 | + | 281.005i | 0.915324 | + | 0.915324i | 0.996685 | − | 0.0813605i | \(-0.0259265\pi\) |
−0.0813605 | + | 0.996685i | \(0.525927\pi\) | |||||||
\(308\) | −241.431 | − | 137.844i | −0.783866 | − | 0.447546i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 297.337 | − | 39.8738i | 0.959152 | − | 0.128625i | ||||
\(311\) | −93.6716 | − | 162.244i | −0.301195 | − | 0.521685i | 0.675212 | − | 0.737624i | \(-0.264052\pi\) |
−0.976407 | + | 0.215939i | \(0.930719\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 147.960 | + | 85.4249i | 0.472716 | + | 0.272923i | 0.717376 | − | 0.696686i | \(-0.245343\pi\) |
−0.244660 | + | 0.969609i | \(0.578676\pi\) | |||||||
\(314\) | 79.4221 | − | 193.055i | 0.252937 | − | 0.614826i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 261.330 | − | 263.859i | 0.826992 | − | 0.834997i | ||||
\(317\) | 148.256 | + | 553.300i | 0.467685 | + | 1.74543i | 0.647829 | + | 0.761786i | \(0.275677\pi\) |
−0.180144 | + | 0.983640i | \(0.557656\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 134.776 | + | 233.439i | 0.422495 | + | 0.731783i | ||||
\(320\) | −212.889 | + | 127.047i | −0.665278 | + | 0.397023i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.0553 | − | 101.045i | 0.0405445 | − | 0.313803i | ||||
\(323\) | 239.340 | − | 239.340i | 0.740990 | − | 0.740990i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −83.9877 | + | 83.9877i | −0.258424 | + | 0.258424i | ||||
\(326\) | 57.7027 | + | 74.8258i | 0.177002 | + | 0.229527i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 25.8671 | + | 186.082i | 0.0788631 | + | 0.567325i | ||||
\(329\) | 57.2591 | + | 99.1757i | 0.174040 | + | 0.301446i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.5294 | − | 65.4206i | −0.0529589 | − | 0.197645i | 0.934378 | − | 0.356284i | \(-0.115956\pi\) |
−0.987337 | + | 0.158638i | \(0.949290\pi\) | |||||||
\(332\) | −1.50661 | − | 312.835i | −0.00453798 | − | 0.942273i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 128.326 | + | 307.710i | 0.384211 | + | 0.921286i | ||||
\(335\) | 313.173 | + | 180.811i | 0.934845 | + | 0.539733i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −165.268 | − | 286.252i | −0.490409 | − | 0.849413i | 0.509530 | − | 0.860453i | \(-0.329819\pi\) |
−0.999939 | + | 0.0110397i | \(0.996486\pi\) | |||||||
\(338\) | 44.1355 | + | 33.6978i | 0.130578 | + | 0.0996977i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 159.919 | + | 91.3053i | 0.470351 | + | 0.268545i | ||||
\(341\) | 354.147 | + | 354.147i | 1.03855 | + | 1.03855i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 371.447i | − | 1.08294i | ||||||
\(344\) | −74.4657 | + | 599.031i | −0.216470 | + | 1.74137i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.8400 | + | 140.489i | 0.0544508 | + | 0.406037i | ||||
\(347\) | −152.939 | + | 570.776i | −0.440747 | + | 1.64489i | 0.286182 | + | 0.958175i | \(0.407614\pi\) |
−0.726928 | + | 0.686713i | \(0.759053\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −481.904 | + | 129.126i | −1.38081 | + | 0.369988i | −0.871416 | − | 0.490544i | \(-0.836798\pi\) |
−0.509396 | + | 0.860532i | \(0.670131\pi\) | |||||||
\(350\) | 41.3439 | + | 99.1372i | 0.118125 | + | 0.283249i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −384.263 | − | 153.773i | −1.09166 | − | 0.436856i | ||||
\(353\) | −100.398 | − | 57.9648i | −0.284413 | − | 0.164206i | 0.351006 | − | 0.936373i | \(-0.385840\pi\) |
−0.635420 | + | 0.772167i | \(0.719173\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 124.847 | − | 465.935i | 0.351682 | − | 1.31249i | ||||
\(356\) | 635.289 | + | 166.950i | 1.78452 | + | 0.468961i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 325.264 | − | 250.831i | 0.908559 | − | 0.700644i | ||||
\(359\) | −598.738 | −1.66780 | −0.833898 | − | 0.551919i | \(-0.813896\pi\) | ||||
−0.833898 | + | 0.551919i | \(0.813896\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 450.135i | 1.24691i | ||||||||
\(362\) | 189.482 | − | 146.121i | 0.523431 | − | 0.403649i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −220.605 | + | 128.787i | −0.606057 | + | 0.353810i | ||||
\(365\) | 323.365 | + | 86.6453i | 0.885931 | + | 0.237384i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −30.0248 | + | 52.0045i | −0.0818115 | + | 0.141702i | −0.904028 | − | 0.427473i | \(-0.859404\pi\) |
0.822217 | + | 0.569175i | \(0.192737\pi\) | |||||||
\(368\) | −1.46096 | − | 151.674i | −0.00396999 | − | 0.412158i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 40.7159 | + | 97.6313i | 0.110043 | + | 0.263868i | ||||
\(371\) | 42.1393 | + | 157.266i | 0.113583 | + | 0.423897i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −599.280 | − | 160.577i | −1.60665 | − | 0.430500i | −0.659607 | − | 0.751611i | \(-0.729277\pi\) |
−0.947042 | + | 0.321111i | \(0.895944\pi\) | |||||||
\(374\) | 40.8616 | + | 304.703i | 0.109256 | + | 0.814715i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 104.762 | + | 134.505i | 0.278622 | + | 0.357727i | ||||
\(377\) | 247.674 | 0.656960 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −128.337 | + | 128.337i | −0.338620 | + | 0.338620i | −0.855848 | − | 0.517228i | \(-0.826964\pi\) |
0.517228 | + | 0.855848i | \(0.326964\pi\) | |||||||
\(380\) | −425.707 | + | 116.268i | −1.12028 | + | 0.305968i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 16.5603 | + | 12.6439i | 0.0433515 | + | 0.0330992i | ||||
\(383\) | 56.1996 | − | 32.4468i | 0.146735 | − | 0.0847176i | −0.424835 | − | 0.905271i | \(-0.639668\pi\) |
0.571570 | + | 0.820553i | \(0.306335\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 134.616 | − | 233.162i | 0.349652 | − | 0.605616i | ||||
\(386\) | 124.993 | + | 299.716i | 0.323816 | + | 0.776467i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 89.2471 | − | 90.1109i | 0.230018 | − | 0.232245i | ||||
\(389\) | −399.684 | + | 107.095i | −1.02747 | + | 0.275309i | −0.732910 | − | 0.680326i | \(-0.761838\pi\) |
−0.294556 | + | 0.955634i | \(0.595172\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −97.5720 | + | 56.3332i | −0.249545 | + | 0.144075i | ||||
\(392\) | −22.1664 | − | 159.460i | −0.0565469 | − | 0.406787i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 273.918 | + | 355.203i | 0.695223 | + | 0.901529i | ||||
\(395\) | 254.306 | + | 254.306i | 0.643812 | + | 0.643812i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −396.576 | − | 396.576i | −0.998931 | − | 0.998931i | 0.00106822 | − | 0.999999i | \(-0.499660\pi\) |
−0.999999 | + | 0.00106822i | \(0.999660\pi\) | |||||||
\(398\) | 22.6882 | − | 175.600i | 0.0570054 | − | 0.441206i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 81.2858 | + | 137.711i | 0.203214 | + | 0.344277i | ||||
\(401\) | −75.9357 | + | 43.8415i | −0.189366 | + | 0.109330i | −0.591686 | − | 0.806169i | \(-0.701537\pi\) |
0.402320 | + | 0.915499i | \(0.368204\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 444.508 | − | 119.106i | 1.10300 | − | 0.295547i | ||||
\(404\) | 497.203 | − | 2.39453i | 1.23070 | − | 0.00592704i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 85.2141 | − | 207.134i | 0.209887 | − | 0.510183i | ||||
\(407\) | −88.2992 | + | 152.939i | −0.216951 | + | 0.375771i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 54.0849 | − | 31.2259i | 0.132237 | − | 0.0763470i | −0.432422 | − | 0.901671i | \(-0.642341\pi\) |
0.564659 | + | 0.825324i | \(0.309008\pi\) | |||||||
\(410\) | −180.325 | + | 24.1822i | −0.439818 | + | 0.0589809i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −727.626 | + | 198.728i | −1.76608 | + | 0.482349i | ||||
\(413\) | 88.4417 | − | 88.4417i | 0.214145 | − | 0.214145i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 302.960 | 0.730025 | ||||||||
\(416\) | −298.900 | + | 235.125i | −0.718510 | + | 0.565205i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −585.569 | − | 447.087i | −1.40088 | − | 1.06959i | ||||
\(419\) | 267.062 | + | 71.5590i | 0.637379 | + | 0.170785i | 0.563016 | − | 0.826446i | \(-0.309641\pi\) |
0.0743629 | + | 0.997231i | \(0.476308\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 158.502 | + | 591.536i | 0.376488 | + | 1.40507i | 0.851158 | + | 0.524909i | \(0.175901\pi\) |
−0.474670 | + | 0.880164i | \(0.657433\pi\) | |||||||
\(422\) | −222.412 | + | 540.628i | −0.527042 | + | 1.28111i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 94.3737 | + | 223.263i | 0.222580 | + | 0.526563i | ||||
\(425\) | 59.3898 | − | 102.866i | 0.139741 | − | 0.242038i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 316.664 | + | 84.8498i | 0.741601 | + | 0.198711i | ||||
\(428\) | −274.918 | − | 470.920i | −0.642333 | − | 1.10028i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −579.762 | − | 74.9074i | −1.34828 | − | 0.174203i | ||||
\(431\) | − | 512.341i | − | 1.18873i | −0.804196 | − | 0.594364i | \(-0.797404\pi\) | ||
0.804196 | − | 0.594364i | \(-0.202596\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 92.4308 | 0.213466 | 0.106733 | − | 0.994288i | \(-0.465961\pi\) | ||||
0.106733 | + | 0.994288i | \(0.465961\pi\) | |||||||
\(434\) | 53.3261 | − | 412.730i | 0.122871 | − | 0.950990i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −317.331 | − | 543.571i | −0.727823 | − | 1.24672i | ||||
\(437\) | 69.8802 | − | 260.796i | 0.159909 | − | 0.596788i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 162.735 | + | 93.9551i | 0.370695 | + | 0.214021i | 0.673762 | − | 0.738949i | \(-0.264677\pi\) |
−0.303067 | + | 0.952969i | \(0.598011\pi\) | |||||||
\(440\) | 150.708 | − | 371.409i | 0.342519 | − | 0.844110i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 261.235 | + | 107.471i | 0.591030 | + | 0.243147i | ||||
\(443\) | 617.132 | − | 165.360i | 1.39307 | − | 0.373273i | 0.517222 | − | 0.855852i | \(-0.326966\pi\) |
0.875853 | + | 0.482578i | \(0.160300\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −164.640 | + | 614.444i | −0.369977 | + | 1.38077i | ||||
\(446\) | −95.8822 | + | 125.581i | −0.214982 | + | 0.281572i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 93.8009 | + | 330.872i | 0.209377 | + | 0.738555i | ||||
\(449\) | − | 182.865i | − | 0.407271i | −0.979047 | − | 0.203635i | \(-0.934724\pi\) | ||
0.979047 | − | 0.203635i | \(-0.0652757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −214.778 | − | 214.778i | −0.476227 | − | 0.476227i | ||||
\(452\) | 239.180 | − | 65.3244i | 0.529160 | − | 0.144523i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 40.8525 | + | 304.636i | 0.0899836 | + | 0.671003i | ||||
\(455\) | −123.690 | − | 214.237i | −0.271846 | − | 0.470851i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −408.786 | − | 236.013i | −0.894500 | − | 0.516440i | −0.0190880 | − | 0.999818i | \(-0.506076\pi\) |
−0.875412 | + | 0.483378i | \(0.839410\pi\) | |||||||
\(458\) | 273.040 | + | 112.327i | 0.596157 | + | 0.245256i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 146.890 | − | 0.707421i | 0.319326 | − | 0.00153787i | ||||
\(461\) | −199.024 | − | 742.769i | −0.431723 | − | 1.61121i | −0.748789 | − | 0.662808i | \(-0.769364\pi\) |
0.317066 | − | 0.948403i | \(-0.397302\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −64.8072 | − | 112.249i | −0.139972 | − | 0.242439i | 0.787514 | − | 0.616297i | \(-0.211368\pi\) |
−0.927486 | + | 0.373858i | \(0.878035\pi\) | |||||||
\(464\) | 83.1965 | − | 322.902i | 0.179303 | − | 0.695910i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −461.994 | − | 59.6912i | −0.991403 | − | 0.128093i | ||||
\(467\) | 64.6941 | − | 64.6941i | 0.138531 | − | 0.138531i | −0.634440 | − | 0.772972i | \(-0.718769\pi\) |
0.772972 | + | 0.634440i | \(0.218769\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 354.715 | − | 354.715i | 0.756323 | − | 0.756323i | ||||
\(470\) | −130.745 | + | 100.826i | −0.278181 | + | 0.214522i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 112.285 | − | 148.543i | 0.237893 | − | 0.314709i | ||||
\(473\) | −487.970 | − | 845.189i | −1.03165 | − | 1.78687i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 73.6719 | + | 274.947i | 0.155099 | + | 0.578836i | ||||
\(476\) | 179.760 | − | 181.500i | 0.377647 | − | 0.381302i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 152.164 | − | 63.4581i | 0.318335 | − | 0.132757i | ||||
\(479\) | −355.298 | − | 205.131i | −0.741750 | − | 0.428249i | 0.0809554 | − | 0.996718i | \(-0.474203\pi\) |
−0.822705 | + | 0.568468i | \(0.807536\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 81.1324 | + | 140.525i | 0.168674 | + | 0.292153i | ||||
\(482\) | 430.762 | − | 564.188i | 0.893698 | − | 1.17051i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 178.616 | − | 48.7832i | 0.369041 | − | 0.100792i | ||||
\(485\) | 86.8484 | + | 86.8484i | 0.179069 | + | 0.179069i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 869.101i | − | 1.78460i | −0.451442 | − | 0.892301i | \(-0.649090\pi\) | ||
0.451442 | − | 0.892301i | \(-0.350910\pi\) | |||||||
\(488\) | 484.337 | + | 60.2080i | 0.992494 | + | 0.123377i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 154.527 | − | 20.7225i | 0.315361 | − | 0.0422909i | ||||
\(491\) | −104.814 | + | 391.173i | −0.213471 | + | 0.796686i | 0.773228 | + | 0.634129i | \(0.218641\pi\) |
−0.986699 | + | 0.162558i | \(0.948026\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −239.241 | + | 64.1044i | −0.485275 | + | 0.130029i | ||||
\(494\) | −624.783 | + | 260.558i | −1.26474 | + | 0.527445i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.96746 | − | 619.532i | −0.0120312 | − | 1.24906i | ||||
\(497\) | −579.500 | − | 334.574i | −1.16600 | − | 0.673188i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 59.9492 | − | 223.734i | 0.120139 | − | 0.448364i | −0.879481 | − | 0.475934i | \(-0.842110\pi\) |
0.999620 | + | 0.0275699i | \(0.00877689\pi\) | |||||||
\(500\) | −468.276 | + | 273.374i | −0.936551 | + | 0.546749i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 152.556 | + | 197.826i | 0.303895 | + | 0.394076i | ||||
\(503\) | 543.851 | 1.08121 | 0.540607 | − | 0.841275i | \(-0.318195\pi\) | ||||
0.540607 | + | 0.841275i | \(0.318195\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 481.509i | 0.953484i | ||||||||
\(506\) | 149.755 | + | 194.195i | 0.295959 | + | 0.383784i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −219.639 | − | 57.7199i | −0.432361 | − | 0.113622i | ||||
\(509\) | −665.031 | − | 178.195i | −1.30655 | − | 0.350088i | −0.462624 | − | 0.886555i | \(-0.653092\pi\) |
−0.843921 | + | 0.536467i | \(0.819759\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 232.199 | − | 402.180i | 0.454401 | − | 0.787045i | ||||
\(512\) | 206.138 | + | 468.669i | 0.402614 | + | 0.915370i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 477.480 | − | 199.127i | 0.928949 | − | 0.387407i | ||||
\(515\) | −189.057 | − | 705.570i | −0.367101 | − | 1.37004i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −266.248 | − | 71.3409i | −0.514986 | − | 0.137990i | ||||
\(518\) | 145.438 | − | 19.5037i | 0.280769 | − | 0.0376520i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −226.304 | − | 290.555i | −0.435201 | − | 0.558760i | ||||
\(521\) | 51.1580 | 0.0981920 | 0.0490960 | − | 0.998794i | \(-0.484366\pi\) | ||||
0.0490960 | + | 0.998794i | \(0.484366\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 628.440 | − | 628.440i | 1.20161 | − | 1.20161i | 0.227929 | − | 0.973678i | \(-0.426804\pi\) |
0.973678 | − | 0.227929i | \(-0.0731955\pi\) | |||||||
\(524\) | −192.392 | − | 109.846i | −0.367160 | − | 0.209629i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −527.534 | + | 690.934i | −1.00292 | + | 1.31356i | ||||
\(527\) | −398.545 | + | 230.100i | −0.756253 | + | 0.436623i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 219.564 | − | 380.296i | 0.415055 | − | 0.718897i | ||||
\(530\) | −216.651 | + | 90.3515i | −0.408775 | + | 0.170475i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.94818 | + | 612.165i | 0.00554170 | + | 1.15069i | ||||
\(533\) | −269.580 | + | 72.2336i | −0.505778 | + | 0.135523i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 457.328 | − | 264.038i | 0.854819 | − | 0.493530i | ||||
\(536\) | 450.345 | − | 595.764i | 0.840197 | − | 1.11150i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.4837 | + | 11.1693i | −0.0269214 | + | 0.0207607i | ||||
\(539\) | 184.051 | + | 184.051i | 0.341468 | + | 0.341468i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 138.038 | + | 138.038i | 0.255154 | + | 0.255154i | 0.823080 | − | 0.567926i | \(-0.192254\pi\) |
−0.567926 | + | 0.823080i | \(0.692254\pi\) | |||||||
\(542\) | −321.371 | − | 41.5222i | −0.592935 | − | 0.0766093i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 227.866 | − | 304.482i | 0.418872 | − | 0.559710i | ||||
\(545\) | 527.881 | − | 304.772i | 0.968590 | − | 0.559215i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −655.476 | + | 175.634i | −1.19831 | + | 0.321086i | −0.802165 | − | 0.597102i | \(-0.796319\pi\) |
−0.396145 | + | 0.918188i | \(0.629652\pi\) | |||||||
\(548\) | 296.007 | − | 298.872i | 0.540159 | − | 0.545387i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −239.095 | − | 98.3625i | −0.434718 | − | 0.178841i | ||||
\(551\) | 296.773 | − | 514.026i | 0.538608 | − | 0.932897i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 432.059 | − | 249.449i | 0.781300 | − | 0.451084i | ||||
\(554\) | 69.7033 | + | 519.774i | 0.125818 | + | 0.938220i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −352.128 | − | 201.046i | −0.633323 | − | 0.361594i | ||||
\(557\) | −523.493 | + | 523.493i | −0.939844 | + | 0.939844i | −0.998291 | − | 0.0584463i | \(-0.981385\pi\) |
0.0584463 | + | 0.998291i | \(0.481385\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −896.728 | −1.60417 | ||||||||
\(560\) | −320.859 | + | 89.2949i | −0.572962 | + | 0.159455i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −313.129 | + | 410.118i | −0.557168 | + | 0.729748i | ||||
\(563\) | −535.008 | − | 143.355i | −0.950281 | − | 0.254627i | −0.249800 | − | 0.968298i | \(-0.580365\pi\) |
−0.700482 | + | 0.713670i | \(0.747031\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 62.1455 | + | 231.930i | 0.109992 | + | 0.410496i | ||||
\(566\) | −124.817 | − | 51.3491i | −0.220525 | − | 0.0907228i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −923.097 | − | 374.570i | −1.62517 | − | 0.659454i | ||||
\(569\) | −281.315 | + | 487.252i | −0.494402 | + | 0.856330i | −0.999979 | − | 0.00645162i | \(-0.997946\pi\) |
0.505577 | + | 0.862782i | \(0.331280\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 93.7407 | + | 25.1177i | 0.164169 | + | 0.0439890i | 0.339967 | − | 0.940437i | \(-0.389584\pi\) |
−0.175798 | + | 0.984426i | \(0.556251\pi\) | |||||||
\(572\) | 156.272 | − | 594.655i | 0.273202 | − | 1.03961i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −32.3406 | + | 250.307i | −0.0563425 | + | 0.436075i | ||||
\(575\) | − | 94.7480i | − | 0.164779i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −606.259 | −1.05071 | −0.525354 | − | 0.850884i | \(-0.676067\pi\) | ||||
−0.525354 | + | 0.850884i | \(0.676067\pi\) | |||||||
\(578\) | 293.078 | + | 37.8668i | 0.507056 | + | 0.0655134i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 312.315 | + | 82.0746i | 0.538474 | + | 0.141508i | ||||
\(581\) | 108.773 | − | 405.948i | 0.187218 | − | 0.698706i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −339.382 | − | 195.942i | −0.582130 | − | 0.336093i | ||||
\(584\) | 259.956 | − | 640.641i | 0.445130 | − | 1.09699i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 332.479 | − | 808.175i | 0.567371 | − | 1.37914i | ||||
\(587\) | −237.410 | + | 63.6138i | −0.404446 | + | 0.108371i | −0.455307 | − | 0.890335i | \(-0.650470\pi\) |
0.0508604 | + | 0.998706i | \(0.483804\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 285.435 | − | 1065.26i | 0.484609 | − | 1.80858i | ||||
\(590\) | 143.327 | + | 109.431i | 0.242927 | + | 0.185477i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 210.462 | − | 58.5715i | 0.355510 | − | 0.0989384i | ||||
\(593\) | − | 849.686i | − | 1.43286i | −0.697659 | − | 0.716430i | \(-0.745775\pi\) | ||
0.697659 | − | 0.716430i | \(-0.254225\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 174.929 | + | 174.929i | 0.293998 | + | 0.293998i | ||||
\(596\) | −417.462 | + | 731.176i | −0.700440 | + | 1.22681i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 223.328 | − | 29.9489i | 0.373458 | − | 0.0500818i | ||||
\(599\) | 172.533 | + | 298.836i | 0.288035 | + | 0.498891i | 0.973341 | − | 0.229364i | \(-0.0736647\pi\) |
−0.685306 | + | 0.728256i | \(0.740331\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −114.395 | − | 66.0458i | −0.190341 | − | 0.109893i | 0.401801 | − | 0.915727i | \(-0.368384\pi\) |
−0.592142 | + | 0.805834i | \(0.701718\pi\) | |||||||
\(602\) | −308.526 | + | 749.951i | −0.512502 | + | 1.24577i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −415.029 | − | 411.051i | −0.687135 | − | 0.680548i | ||||
\(605\) | 46.4092 | + | 173.202i | 0.0767095 | + | 0.286284i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 399.074 | + | 691.216i | 0.657453 | + | 1.13874i | 0.981273 | + | 0.192623i | \(0.0616993\pi\) |
−0.323820 | + | 0.946119i | \(0.604967\pi\) | |||||||
\(608\) | 129.828 | + | 902.079i | 0.213533 | + | 1.48368i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −60.5652 | + | 468.758i | −0.0992871 | + | 0.768455i | ||||
\(611\) | −179.087 | + | 179.087i | −0.293105 | + | 0.293105i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −92.1791 | + | 92.1791i | −0.150374 | + | 0.150374i | −0.778285 | − | 0.627911i | \(-0.783910\pi\) |
0.627911 | + | 0.778285i | \(0.283910\pi\) | |||||||
\(614\) | 485.361 | + | 629.391i | 0.790490 | + | 1.02507i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −443.555 | − | 335.289i | −0.720056 | − | 0.544300i | ||||
\(617\) | −39.3936 | − | 68.2317i | −0.0638470 | − | 0.110586i | 0.832335 | − | 0.554273i | \(-0.187004\pi\) |
−0.896182 | + | 0.443687i | \(0.853670\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 128.392 | + | 479.166i | 0.207418 | + | 0.774096i | 0.988699 | + | 0.149916i | \(0.0479003\pi\) |
−0.781280 | + | 0.624180i | \(0.785433\pi\) | |||||||
\(620\) | 599.991 | − | 2.88955i | 0.967727 | − | 0.00466057i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −144.219 | − | 345.819i | −0.231864 | − | 0.555979i | ||||
\(623\) | 764.206 | + | 441.214i | 1.22665 | + | 0.708209i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −137.625 | − | 238.373i | −0.220200 | − | 0.381397i | ||||
\(626\) | 271.588 | + | 207.360i | 0.433847 | + | 0.331246i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 207.010 | − | 362.574i | 0.329634 | − | 0.577347i | ||||
\(629\) | −114.742 | − | 114.742i | −0.182419 | − | 0.182419i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 806.396i | 1.27797i | 0.769221 | + | 0.638983i | \(0.220645\pi\) | ||||
−0.769221 | + | 0.638983i | \(0.779355\pi\) | |||||||
\(632\) | 585.972 | − | 456.395i | 0.927170 | − | 0.722144i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 152.270 | + | 1135.47i | 0.240174 | + | 1.79097i | ||||
\(635\) | 56.9212 | − | 212.433i | 0.0896396 | − | 0.334540i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 231.012 | − | 61.8995i | 0.362656 | − | 0.0971734i | ||||
\(638\) | 207.505 | + | 497.569i | 0.325243 | + | 0.779889i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −454.827 | + | 197.441i | −0.710667 | + | 0.308502i | ||||
\(641\) | 103.969 | + | 60.0266i | 0.162198 | + | 0.0936453i | 0.578902 | − | 0.815397i | \(-0.303481\pi\) |
−0.416704 | + | 0.909042i | \(0.636815\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 210.532 | − | 785.714i | 0.327421 | − | 1.22195i | −0.584435 | − | 0.811440i | \(-0.698684\pi\) |
0.911856 | − | 0.410511i | \(-0.134649\pi\) | |||||||
\(644\) | 51.7908 | − | 197.077i | 0.0804205 | − | 0.306021i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 536.070 | − | 413.396i | 0.829830 | − | 0.639932i | ||||
\(647\) | 825.493 | 1.27588 | 0.637939 | − | 0.770087i | \(-0.279787\pi\) | ||||
0.637939 | + | 0.770087i | \(0.279787\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 301.051i | 0.463869i | ||||||||
\(650\) | −188.115 | + | 145.067i | −0.289407 | + | 0.223179i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 95.2778 | + | 163.206i | 0.146132 | + | 0.250316i | ||||
\(653\) | 45.5134 | + | 12.1953i | 0.0696989 | + | 0.0186758i | 0.293500 | − | 0.955959i | \(-0.405180\pi\) |
−0.223801 | + | 0.974635i | \(0.571847\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 107.273 | − | 185.803i | 0.163776 | − | 0.283668i | ||||
\(656\) | 3.61907 | + | 375.726i | 0.00551688 | + | 0.572753i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 88.1578 | + | 211.391i | 0.133978 | + | 0.321262i | ||||
\(659\) | −144.063 | − | 537.650i | −0.218608 | − | 0.815857i | −0.984865 | − | 0.173323i | \(-0.944550\pi\) |
0.766257 | − | 0.642534i | \(-0.222117\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −908.098 | − | 243.324i | −1.37382 | − | 0.368115i | −0.504950 | − | 0.863148i | \(-0.668489\pi\) |
−0.868874 | + | 0.495033i | \(0.835156\pi\) | |||||||
\(662\) | −18.0040 | − | 134.255i | −0.0271964 | − | 0.202802i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 77.1839 | − | 620.897i | 0.116241 | − | 0.935086i | ||||
\(665\) | −592.842 | −0.891492 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −139.703 | + | 139.703i | −0.209449 | + | 0.209449i | ||||
\(668\) | 175.678 | + | 643.233i | 0.262991 | + | 0.962924i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 574.845 | + | 438.899i | 0.857978 | + | 0.655073i | ||||
\(671\) | −683.365 | + | 394.541i | −1.01843 | + | 0.587989i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 642.305 | − | 1112.50i | 0.954390 | − | 1.65305i | 0.218633 | − | 0.975807i | \(-0.429840\pi\) |
0.735757 | − | 0.677246i | \(-0.236827\pi\) | |||||||
\(674\) | −254.451 | − | 610.139i | −0.377524 | − | 0.905251i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 78.9073 | + | 78.1509i | 0.116727 | + | 0.115608i | ||||
\(677\) | −81.0177 | + | 21.7086i | −0.119672 | + | 0.0320659i | −0.318158 | − | 0.948038i | \(-0.603064\pi\) |
0.198486 | + | 0.980104i | \(0.436398\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 147.553 | − | 85.1898i | 0.217309 | − | 0.125464i | ||||
\(680\) | 293.802 | + | 222.089i | 0.432062 | + | 0.326601i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 611.695 | + | 793.214i | 0.896913 | + | 1.16307i | ||||
\(683\) | −422.773 | − | 422.773i | −0.618994 | − | 0.618994i | 0.326280 | − | 0.945273i | \(-0.394205\pi\) |
−0.945273 | + | 0.326280i | \(0.894205\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 288.051 | + | 288.051i | 0.420513 | + | 0.420513i | ||||
\(686\) | 95.1933 | − | 736.770i | 0.138766 | − | 1.07401i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −301.221 | + | 1169.10i | −0.437822 | + | 1.69928i | ||||
\(689\) | −311.836 | + | 180.039i | −0.452592 | + | 0.261304i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −504.924 | + | 135.294i | −0.730715 | + | 0.195795i | −0.604948 | − | 0.796265i | \(-0.706806\pi\) |
−0.125768 | + | 0.992060i | \(0.540139\pi\) | |||||||
\(692\) | 1.36528 | + | 283.489i | 0.00197295 | + | 0.409667i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −449.633 | + | 1092.95i | −0.647887 | + | 1.57485i | ||||
\(695\) | 196.338 | − | 340.067i | 0.282501 | − | 0.489306i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 241.705 | − | 139.548i | 0.346779 | − | 0.200213i | ||||
\(698\) | −988.954 | + | 132.622i | −1.41684 | + | 0.190002i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 56.5996 | + | 207.235i | 0.0808566 | + | 0.296050i | ||||
\(701\) | −387.399 | + | 387.399i | −0.552638 | + | 0.552638i | −0.927201 | − | 0.374563i | \(-0.877793\pi\) |
0.374563 | + | 0.927201i | \(0.377793\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 388.865 | 0.553151 | ||||||||
\(704\) | −722.782 | − | 403.489i | −1.02668 | − | 0.573138i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −184.286 | − | 140.704i | −0.261028 | − | 0.199297i | ||||
\(707\) | 645.192 | + | 172.879i | 0.912578 | + | 0.244524i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 42.2947 | + | 157.846i | 0.0596540 | + | 0.222632i | 0.989317 | − | 0.145779i | \(-0.0465688\pi\) |
−0.929663 | + | 0.368410i | \(0.879902\pi\) | |||||||
\(710\) | 367.044 | − | 892.193i | 0.516963 | − | 1.25661i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1217.32 | + | 493.958i | 1.70972 | + | 0.693761i | ||||
\(713\) | −183.546 | + | 317.911i | −0.257428 | + | 0.445878i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 575.143 | + | 154.109i | 0.804396 | + | 0.215537i | ||||
\(716\) | 709.448 | − | 414.168i | 0.990849 | − | 0.578447i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1187.61 | − | 153.443i | −1.65405 | − | 0.213709i | ||||
\(719\) | 480.946i | 0.668909i | 0.942412 | + | 0.334455i | \(0.108552\pi\) | ||||
−0.942412 | + | 0.334455i | \(0.891448\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1013.30 | −1.40541 | ||||||||
\(722\) | −115.359 | + | 892.848i | −0.159777 | + | 1.23663i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 413.287 | − | 241.273i | 0.570838 | − | 0.333249i | ||||
\(725\) | 53.9093 | − | 201.192i | 0.0743576 | − | 0.277506i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −45.9366 | − | 26.5215i | −0.0631865 | − | 0.0364807i | 0.468074 | − | 0.883689i | \(-0.344948\pi\) |
−0.531260 | + | 0.847209i | \(0.678281\pi\) | |||||||
\(728\) | −470.578 | + | 198.914i | −0.646398 | + | 0.273234i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 619.193 | + | 254.733i | 0.848209 | + | 0.348949i | ||||
\(731\) | 866.196 | − | 232.096i | 1.18495 | − | 0.317505i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 165.745 | − | 618.567i | 0.226118 | − | 0.843884i | −0.755835 | − | 0.654762i | \(-0.772769\pi\) |
0.981953 | − | 0.189123i | \(-0.0605644\pi\) | |||||||
\(734\) | −72.8822 | + | 95.4570i | −0.0992945 | + | 0.130050i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 35.9727 | − | 301.222i | 0.0488760 | − | 0.409269i | ||||
\(737\) | 1207.43i | 1.63831i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 726.916 | + | 726.916i | 0.983648 | + | 0.983648i | 0.999868 | − | 0.0162206i | \(-0.00516340\pi\) |
−0.0162206 | + | 0.999868i | \(0.505163\pi\) | |||||||
\(740\) | 55.7399 | + | 204.087i | 0.0753242 | + | 0.275794i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 43.2801 | + | 322.738i | 0.0583290 | + | 0.434957i | ||||
\(743\) | 440.165 | + | 762.388i | 0.592415 | + | 1.02609i | 0.993906 | + | 0.110230i | \(0.0351589\pi\) |
−0.401491 | + | 0.915863i | \(0.631508\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −706.134 | − | 407.686i | −0.947830 | − | 0.547230i | ||||
\(746\) | −1147.53 | − | 472.087i | −1.53824 | − | 0.632825i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.96114 | + | 614.855i | 0.00395874 | + | 0.821998i | ||||
\(749\) | −189.598 | − | 707.590i | −0.253135 | − | 0.944713i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −428.427 | − | 742.057i | −0.570475 | − | 0.988092i | −0.996517 | − | 0.0833883i | \(-0.973426\pi\) |
0.426042 | − | 0.904703i | \(-0.359908\pi\) | |||||||
\(752\) | 173.326 | + | 293.641i | 0.230487 | + | 0.390480i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 491.264 | + | 63.4731i | 0.651544 | + | 0.0841818i | ||||
\(755\) | 400.003 | − | 400.003i | 0.529805 | − | 0.529805i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −119.448 | + | 119.448i | −0.157791 | + | 0.157791i | −0.781587 | − | 0.623796i | \(-0.785590\pi\) |
0.623796 | + | 0.781587i | \(0.285590\pi\) | |||||||
\(758\) | −287.448 | + | 221.668i | −0.379219 | + | 0.292439i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −874.191 | + | 121.520i | −1.15025 | + | 0.159895i | ||||
\(761\) | 132.802 | + | 230.020i | 0.174510 | + | 0.302260i | 0.939992 | − | 0.341198i | \(-0.110833\pi\) |
−0.765482 | + | 0.643458i | \(0.777499\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −218.848 | − | 816.752i | −0.286826 | − | 1.07045i | ||||
\(764\) | 29.6072 | + | 29.3233i | 0.0387528 | + | 0.0383813i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 119.788 | − | 49.9561i | 0.156381 | − | 0.0652168i | ||||
\(767\) | 239.556 | + | 138.308i | 0.312329 | + | 0.180323i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 750.091 | + | 1299.20i | 0.975411 | + | 1.68946i | 0.678573 | + | 0.734533i | \(0.262599\pi\) |
0.296838 | + | 0.954928i | \(0.404068\pi\) | |||||||
\(770\) | 326.767 | − | 427.981i | 0.424373 | − | 0.555819i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 171.115 | + | 626.524i | 0.221651 | + | 0.811559i | ||||
\(773\) | −572.185 | − | 572.185i | −0.740213 | − | 0.740213i | 0.232406 | − | 0.972619i | \(-0.425340\pi\) |
−0.972619 | + | 0.232406i | \(0.925340\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 387.010i | − | 0.499368i | ||||||
\(776\) | 200.116 | − | 155.864i | 0.257882 | − | 0.200856i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −820.225 | + | 109.995i | −1.05427 | + | 0.141381i | ||||
\(779\) | −173.107 | + | 646.043i | −0.222217 | + | 0.829324i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1555.73 | − | 416.856i | 1.99197 | − | 0.533747i | ||||
\(782\) | −207.972 | + | 86.7322i | −0.265949 | + | 0.110911i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.10131 | − | 321.973i | −0.00395575 | − | 0.410679i | ||||
\(785\) | 350.156 | + | 202.163i | 0.446058 | + | 0.257532i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 98.7267 | − | 368.453i | 0.125447 | − | 0.468174i | −0.874408 | − | 0.485191i | \(-0.838750\pi\) |
0.999855 | + | 0.0170167i | \(0.00541686\pi\) | |||||||
\(788\) | 452.290 | + | 774.748i | 0.573971 | + | 0.983182i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 439.246 | + | 569.591i | 0.556008 | + | 0.721002i | ||||
\(791\) | 333.085 | 0.421093 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 725.036i | 0.914295i | ||||||||
\(794\) | −684.980 | − | 888.246i | −0.862695 | − | 1.11870i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 90.0045 | − | 342.490i | 0.113071 | − | 0.430264i | ||||
\(797\) | 796.594 | + | 213.447i | 0.999491 | + | 0.267813i | 0.721232 | − | 0.692693i | \(-0.243576\pi\) |
0.278259 | + | 0.960506i | \(0.410243\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 126.637 | − | 219.342i | 0.158495 | − | 0.274521i | ||||
\(800\) | 125.939 | + | 293.982i | 0.157424 | + | 0.367478i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −161.855 | + | 67.4996i | −0.201814 | + | 0.0841641i | ||||
\(803\) | 289.303 | + | 1079.69i | 0.360278 | + | 1.34458i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 190.611 | + | 51.0741i | 0.236784 | + | 0.0634460i | ||||
\(806\) | 912.211 | − | 122.330i | 1.13178 | − | 0.151774i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 986.822 | + | 122.672i | 1.22131 | + | 0.151822i | ||||
\(809\) | 371.253 | 0.458904 | 0.229452 | − | 0.973320i | \(-0.426307\pi\) | ||||
0.229452 | + | 0.973320i | \(0.426307\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −682.431 | + | 682.431i | −0.841468 | + | 0.841468i | −0.989050 | − | 0.147582i | \(-0.952851\pi\) |
0.147582 | + | 0.989050i | \(0.452851\pi\) | |||||||
\(812\) | 222.107 | − | 389.015i | 0.273531 | − | 0.479083i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −214.337 | + | 280.727i | −0.263314 | + | 0.344873i | ||||
\(815\) | −158.495 | + | 91.5072i | −0.194473 | + | 0.112279i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1074.50 | + | 1861.09i | −1.31518 | + | 2.27795i | ||||
\(818\) | 115.281 | − | 48.0763i | 0.140930 | − | 0.0587730i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −363.875 | + | 1.75242i | −0.443750 | + | 0.00213710i | ||||
\(821\) | 124.780 | − | 33.4347i | 0.151986 | − | 0.0407244i | −0.182024 | − | 0.983294i | \(-0.558265\pi\) |
0.334010 | + | 0.942570i | \(0.391598\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −364.270 | + | 210.311i | −0.442613 | + | 0.255543i | −0.704705 | − | 0.709500i | \(-0.748921\pi\) |
0.262093 | + | 0.965043i | \(0.415587\pi\) | |||||||
\(824\) | −1494.19 | + | 207.705i | −1.81333 | + | 0.252069i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 198.091 | − | 152.760i | 0.239819 | − | 0.184939i | ||||
\(827\) | −646.935 | − | 646.935i | −0.782268 | − | 0.782268i | 0.197945 | − | 0.980213i | \(-0.436573\pi\) |
−0.980213 | + | 0.197945i | \(0.936573\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 626.764 | + | 626.764i | 0.756048 | + | 0.756048i | 0.975601 | − | 0.219553i | \(-0.0704598\pi\) |
−0.219553 | + | 0.975601i | \(0.570460\pi\) | |||||||
\(830\) | 600.926 | + | 77.6417i | 0.724007 | + | 0.0935442i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −653.129 | + | 389.773i | −0.785011 | + | 0.468477i | ||||
\(833\) | −207.125 | + | 119.584i | −0.248650 | + | 0.143558i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −623.735 | + | 167.129i | −0.746988 | + | 0.200155i | ||||
\(836\) | −1046.91 | − | 1036.87i | −1.25228 | − | 1.24027i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 511.381 | + | 210.380i | 0.610240 | + | 0.251050i | ||||
\(839\) | −441.149 | + | 764.093i | −0.525804 | + | 0.910719i | 0.473744 | + | 0.880662i | \(0.342902\pi\) |
−0.999548 | + | 0.0300564i | \(0.990431\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 352.189 | − | 203.337i | 0.418775 | − | 0.241780i | ||||
\(842\) | 162.793 | + | 1213.94i | 0.193341 | + | 1.44173i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −579.707 | + | 1015.34i | −0.686857 | + | 1.20301i | ||||
\(845\) | −76.0504 | + | 76.0504i | −0.0900005 | + | 0.0900005i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 248.742 | 0.293674 | ||||||||
\(848\) | 129.974 | + | 467.030i | 0.153272 | + | 0.550743i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 144.163 | − | 188.816i | 0.169603 | − | 0.222137i | ||||
\(851\) | −125.028 | − | 33.5012i | −0.146919 | − | 0.0393668i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −191.702 | − | 715.440i | −0.224738 | − | 0.838734i | −0.982509 | − | 0.186214i | \(-0.940378\pi\) |
0.757771 | − | 0.652520i | \(-0.226288\pi\) | |||||||
\(854\) | 606.361 | + | 249.454i | 0.710025 | + | 0.292101i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −424.618 | − | 1004.53i | −0.496049 | − | 1.17352i | ||||
\(857\) | 454.964 | − | 788.022i | 0.530880 | − | 0.919512i | −0.468470 | − | 0.883479i | \(-0.655195\pi\) |
0.999351 | − | 0.0360325i | \(-0.0114720\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −133.228 | − | 35.6983i | −0.155097 | − | 0.0415580i | 0.180435 | − | 0.983587i | \(-0.442249\pi\) |
−0.335532 | + | 0.942029i | \(0.608916\pi\) | |||||||
\(860\) | −1130.77 | − | 297.159i | −1.31485 | − | 0.345534i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 131.301 | − | 1016.24i | 0.152322 | − | 1.17893i | ||||
\(863\) | − | 512.214i | − | 0.593527i | −0.954951 | − | 0.296764i | \(-0.904093\pi\) | ||
0.954951 | − | 0.296764i | \(-0.0959073\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −274.541 | −0.317389 | ||||||||
\(866\) | 183.338 | + | 23.6879i | 0.211706 | + | 0.0273532i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 211.546 | − | 804.988i | 0.243717 | − | 0.927406i | ||||
\(869\) | −310.796 | + | 1159.91i | −0.357648 | + | 1.33476i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 960.794 | + | 554.715i | 1.10309 | + | 0.636871i | ||||
\(872\) | −490.125 | − | 1159.50i | −0.562070 | − | 1.32971i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 205.444 | − | 499.384i | 0.235062 | − | 0.571378i | ||||
\(875\) | −703.616 | + | 188.533i | −0.804133 | + | 0.215467i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −259.253 | + | 967.546i | −0.295614 | + | 1.10325i | 0.645115 | + | 0.764085i | \(0.276809\pi\) |
−0.940729 | + | 0.339160i | \(0.889857\pi\) | |||||||
\(878\) | 298.708 | + | 228.066i | 0.340215 | + | 0.259757i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 394.115 | − | 698.070i | 0.447858 | − | 0.793262i | ||||
\(881\) | − | 18.4946i | − | 0.0209928i | −0.999945 | − | 0.0104964i | \(-0.996659\pi\) | ||
0.999945 | − | 0.0104964i | \(-0.00334117\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 162.276 | + | 162.276i | 0.183778 | + | 0.183778i | 0.793000 | − | 0.609222i | \(-0.208518\pi\) |
−0.609222 | + | 0.793000i | \(0.708518\pi\) | |||||||
\(884\) | 490.621 | + | 280.119i | 0.555002 | + | 0.316876i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1266.47 | − | 169.837i | 1.42942 | − | 0.191690i | ||||
\(887\) | −252.776 | − | 437.820i | −0.284978 | − | 0.493596i | 0.687626 | − | 0.726065i | \(-0.258653\pi\) |
−0.972604 | + | 0.232469i | \(0.925320\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −264.210 | − | 152.542i | −0.297199 | − | 0.171588i | ||||
\(890\) | −484.033 | + | 1176.56i | −0.543857 | + | 1.32198i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −222.367 | + | 224.519i | −0.249290 | + | 0.251703i | ||||
\(893\) | 157.091 | + | 586.271i | 0.175913 | + | 0.656518i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 397.777 | + | 688.970i | 0.444444 | + | 0.769799i | ||||
\(896\) | 101.260 | + | 680.329i | 0.113014 | + | 0.759295i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 46.8640 | − | 362.714i | 0.0521871 | − | 0.403913i | ||||
\(899\) | −570.633 | + | 570.633i | −0.634742 | + | 0.634742i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 254.620 | − | 254.620i | 0.282597 | − | 0.282597i | ||||
\(902\) | −370.973 | − | 481.059i | −0.411278 | − | 0.533324i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 491.159 | − | 68.2753i | 0.543317 | − | 0.0755258i | ||||
\(905\) | 231.724 | + | 401.358i | 0.256049 | + | 0.443490i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −258.798 | − | 965.847i | −0.285334 | − | 1.06488i | −0.948595 | − | 0.316493i | \(-0.897495\pi\) |
0.663261 | − | 0.748388i | \(-0.269172\pi\) | |||||||
\(908\) | 2.96048 | + | 614.718i | 0.00326044 | + | 0.677002i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −190.437 | − | 456.641i | −0.209271 | − | 0.501804i | ||||
\(911\) | −452.086 | − | 261.012i | −0.496252 | − | 0.286512i | 0.230912 | − | 0.972975i | \(-0.425829\pi\) |
−0.727165 | + | 0.686463i | \(0.759162\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 505.783 | + | 876.042i | 0.553979 | + | 0.959520i | ||||
\(914\) | −750.348 | − | 572.897i | −0.820950 | − | 0.626802i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 512.791 | + | 292.776i | 0.559815 | + | 0.319625i | ||||
\(917\) | −210.449 | − | 210.449i | −0.229497 | − | 0.229497i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 495.997i | 0.539713i | 0.962901 | + | 0.269857i | \(0.0869763\pi\) | ||||
−0.962901 | + | 0.269857i | \(0.913024\pi\) | |||||||
\(920\) | 291.539 | + | 36.2413i | 0.316891 | + | 0.0393927i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −204.413 | − | 1524.30i | −0.221706 | − | 1.65325i | ||||
\(923\) | 383.022 | − | 1429.46i | 0.414975 | − | 1.54871i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 131.812 | − | 35.3189i | 0.142500 | − | 0.0381826i | ||||
\(926\) | −99.7789 | − | 239.257i | −0.107753 | − | 0.258376i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 247.774 | − | 619.160i | 0.266997 | − | 0.667198i | ||||
\(929\) | 1037.03 | + | 598.731i | 1.11629 | + | 0.644490i | 0.940451 | − | 0.339929i | \(-0.110403\pi\) |
0.175838 | + | 0.984419i | \(0.443736\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 148.341 | − | 553.617i | 0.159335 | − | 0.594647i | ||||
\(932\) | −901.073 | − | 236.797i | −0.966816 | − | 0.254074i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 144.901 | − | 111.742i | 0.155140 | − | 0.119638i | ||||
\(935\) | −595.447 | −0.636842 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 219.908i | − | 0.234694i | −0.993091 | − | 0.117347i | \(-0.962561\pi\) | ||
0.993091 | − | 0.117347i | \(-0.0374390\pi\) | |||||||
\(938\) | 794.488 | − | 612.677i | 0.847002 | − | 0.653174i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −285.174 | + | 166.482i | −0.303377 | + | 0.177108i | ||||
\(941\) | −7.40638 | − | 1.98453i | −0.00787075 | − | 0.00210896i | 0.254882 | − | 0.966972i | \(-0.417964\pi\) |
−0.262752 | + | 0.964863i | \(0.584630\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 111.315 | − | 192.803i | 0.118043 | − | 0.204457i | ||||
\(944\) | 260.787 | − | 265.860i | 0.276258 | − | 0.281632i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −751.293 | − | 1801.50i | −0.794178 | − | 1.90433i | ||||
\(947\) | 206.974 | + | 772.438i | 0.218558 | + | 0.815668i | 0.984884 | + | 0.173217i | \(0.0554160\pi\) |
−0.766326 | + | 0.642452i | \(0.777917\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 992.062 | + | 265.822i | 1.04538 | + | 0.280108i | ||||
\(950\) | 75.6665 | + | 564.242i | 0.0796489 | + | 0.593938i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 403.071 | − | 313.939i | 0.423394 | − | 0.329768i | ||||
\(953\) | −11.2506 | −0.0118054 | −0.00590272 | − | 0.999983i | \(-0.501879\pi\) | ||||
−0.00590272 | + | 0.999983i | \(0.501879\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −28.5352 | + | 28.5352i | −0.0298798 | + | 0.0298798i | ||||
\(956\) | 318.082 | − | 86.8738i | 0.332722 | − | 0.0908722i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −652.168 | − | 497.936i | −0.680760 | − | 0.519766i | ||||
\(959\) | 489.391 | − | 282.550i | 0.510314 | − | 0.294630i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −269.217 | + | 466.298i | −0.280143 | + | 0.485222i | ||||
\(962\) | 124.914 | + | 299.526i | 0.129848 | + | 0.311358i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 999.011 | − | 1008.68i | 1.03632 | − | 1.04635i | ||||
\(965\) | −607.532 | + | 162.788i | −0.629567 | + | 0.168692i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 206.224 | − | 119.064i | 0.213262 | − | 0.123127i | −0.389564 | − | 0.920999i | \(-0.627374\pi\) |
0.602826 | + | 0.797872i | \(0.294041\pi\) | |||||||
\(968\) | 366.789 | − | 50.9869i | 0.378914 | − | 0.0526724i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 150.008 | + | 194.522i | 0.154647 | + | 0.200538i | ||||
\(971\) | −956.820 | − | 956.820i | −0.985396 | − | 0.985396i | 0.0144987 | − | 0.999895i | \(-0.495385\pi\) |
−0.999895 | + | 0.0144987i | \(0.995385\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −385.177 | − | 385.177i | −0.395865 | − | 0.395865i | ||||
\(974\) | 222.730 | − | 1723.87i | 0.228676 | − | 1.76989i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 945.258 | + | 243.548i | 0.968502 | + | 0.249537i | ||||
\(977\) | −25.8436 | + | 14.9208i | −0.0264520 | + | 0.0152720i | −0.513168 | − | 0.858288i | \(-0.671528\pi\) |
0.486716 | + | 0.873560i | \(0.338195\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2051.59 | + | 549.722i | −2.09560 | + | 0.561514i | ||||
\(980\) | 311.817 | − | 1.50171i | 0.318181 | − | 0.00153236i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −308.149 | + | 749.035i | −0.313798 | + | 0.762765i | ||||
\(983\) | 626.105 | − | 1084.45i | 0.636933 | − | 1.10320i | −0.349169 | − | 0.937060i | \(-0.613536\pi\) |
0.986102 | − | 0.166141i | \(-0.0531306\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −752.386 | + | 434.390i | −0.763843 | + | 0.441005i | ||||
\(986\) | −490.966 | + | 65.8400i | −0.497937 | + | 0.0667748i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1306.04 | + | 356.702i | −1.32190 | + | 0.361035i | ||||
\(989\) | 505.808 | − | 505.808i | 0.511433 | − | 0.511433i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −702.277 | −0.708655 | −0.354328 | − | 0.935121i | \(-0.615290\pi\) | ||||
−0.354328 | + | 0.935121i | \(0.615290\pi\) | |||||||
\(992\) | 146.935 | − | 1230.38i | 0.148120 | − | 1.24030i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1063.70 | − | 812.145i | −1.07012 | − | 0.817047i | ||||
\(995\) | 331.253 | + | 88.7589i | 0.332917 | + | 0.0892049i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −210.524 | − | 785.686i | −0.211157 | − | 0.788050i | −0.987484 | − | 0.157719i | \(-0.949586\pi\) |
0.776327 | − | 0.630331i | \(-0.217081\pi\) | |||||||
\(998\) | 176.248 | − | 428.415i | 0.176601 | − | 0.429273i | ||||
\(999\) | 0 | 0 |
(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 | 432.3.x.a.413.44 | 184 | ||
3.2 | odd | 2 | 144.3.w.a.29.3 | yes | 184 | ||
9.4 | even | 3 | 144.3.w.a.77.14 | yes | 184 | ||
9.5 | odd | 6 | inner | 432.3.x.a.125.33 | 184 | ||
16.5 | even | 4 | inner | 432.3.x.a.197.33 | 184 | ||
48.5 | odd | 4 | 144.3.w.a.101.14 | yes | 184 | ||
144.5 | odd | 12 | inner | 432.3.x.a.341.44 | 184 | ||
144.85 | even | 12 | 144.3.w.a.5.3 | ✓ | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.w.a.5.3 | ✓ | 184 | 144.85 | even | 12 | ||
144.3.w.a.29.3 | yes | 184 | 3.2 | odd | 2 | ||
144.3.w.a.77.14 | yes | 184 | 9.4 | even | 3 | ||
144.3.w.a.101.14 | yes | 184 | 48.5 | odd | 4 | ||
432.3.x.a.125.33 | 184 | 9.5 | odd | 6 | inner | ||
432.3.x.a.197.33 | 184 | 16.5 | even | 4 | inner | ||
432.3.x.a.341.44 | 184 | 144.5 | odd | 12 | inner | ||
432.3.x.a.413.44 | 184 | 1.1 | even | 1 | trivial |