Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 10.18 | ||
Character | \(\chi\) | \(=\) | 483.10 |
Dual form | 483.2.bf.a.145.18 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0503654 | − | 0.145521i | 0.0356137 | − | 0.102899i | −0.925792 | − | 0.378032i | \(-0.876601\pi\) |
0.961406 | + | 0.275133i | \(0.0887220\pi\) | |||||||
\(3\) | −0.458227 | − | 0.888835i | −0.264557 | − | 0.513169i | ||||
\(4\) | 1.55347 | + | 1.22166i | 0.776733 | + | 0.610830i | ||||
\(5\) | −3.87542 | + | 0.370058i | −1.73314 | + | 0.165495i | −0.913352 | − | 0.407172i | \(-0.866515\pi\) |
−0.819788 | + | 0.572666i | \(0.805909\pi\) | |||||||
\(6\) | −0.152423 | + | 0.0219152i | −0.0622266 | + | 0.00894683i | ||||
\(7\) | 2.22141 | − | 1.43713i | 0.839614 | − | 0.543184i | ||||
\(8\) | 0.515109 | − | 0.331040i | 0.182119 | − | 0.117040i | ||||
\(9\) | −0.580057 | + | 0.814576i | −0.193352 | + | 0.271525i | ||||
\(10\) | −0.141336 | + | 0.582594i | −0.0446943 | + | 0.184233i | ||||
\(11\) | 3.50372 | − | 1.21265i | 1.05641 | − | 0.365628i | 0.257000 | − | 0.966411i | \(-0.417266\pi\) |
0.799412 | + | 0.600784i | \(0.205145\pi\) | |||||||
\(12\) | 0.374015 | − | 1.94057i | 0.107969 | − | 0.560195i | ||||
\(13\) | −1.12996 | − | 3.84828i | −0.313394 | − | 1.06732i | −0.954088 | − | 0.299526i | \(-0.903172\pi\) |
0.640694 | − | 0.767796i | \(-0.278647\pi\) | |||||||
\(14\) | −0.0972508 | − | 0.395644i | −0.0259914 | − | 0.105740i | ||||
\(15\) | 2.10474 | + | 3.27504i | 0.543442 | + | 0.845612i | ||||
\(16\) | 0.909625 | + | 3.74952i | 0.227406 | + | 0.937381i | ||||
\(17\) | −0.758418 | − | 0.303625i | −0.183943 | − | 0.0736398i | 0.277862 | − | 0.960621i | \(-0.410374\pi\) |
−0.461806 | + | 0.886981i | \(0.652798\pi\) | |||||||
\(18\) | 0.0893234 | + | 0.125437i | 0.0210537 | + | 0.0295658i | ||||
\(19\) | 5.11541 | − | 2.04790i | 1.17356 | − | 0.469821i | 0.298768 | − | 0.954326i | \(-0.403424\pi\) |
0.874789 | + | 0.484505i | \(0.161000\pi\) | |||||||
\(20\) | −6.47242 | − | 4.15957i | −1.44728 | − | 0.930108i | ||||
\(21\) | −2.29528 | − | 1.31594i | −0.500871 | − | 0.287161i | ||||
\(22\) | − | 0.570942i | − | 0.121725i | ||||||
\(23\) | 3.94696 | − | 2.72424i | 0.822999 | − | 0.568043i | ||||
\(24\) | −0.530277 | − | 0.306156i | −0.108242 | − | 0.0624938i | ||||
\(25\) | 9.97229 | − | 1.92200i | 1.99446 | − | 0.384400i | ||||
\(26\) | −0.616918 | − | 0.0293874i | −0.120988 | − | 0.00576335i | ||||
\(27\) | 0.989821 | + | 0.142315i | 0.190491 | + | 0.0273885i | ||||
\(28\) | 5.20657 | + | 0.481273i | 0.983949 | + | 0.0909521i | ||||
\(29\) | −0.161705 | − | 1.12468i | −0.0300278 | − | 0.208848i | 0.969284 | − | 0.245945i | \(-0.0790982\pi\) |
−0.999312 | + | 0.0370966i | \(0.988189\pi\) | |||||||
\(30\) | 0.582594 | − | 0.141336i | 0.106367 | − | 0.0258043i | ||||
\(31\) | 7.28204 | − | 0.346886i | 1.30789 | − | 0.0623026i | 0.617979 | − | 0.786194i | \(-0.287952\pi\) |
0.689914 | + | 0.723892i | \(0.257649\pi\) | |||||||
\(32\) | 1.81053 | + | 0.172884i | 0.320059 | + | 0.0305619i | ||||
\(33\) | −2.68334 | − | 2.55856i | −0.467110 | − | 0.445389i | ||||
\(34\) | −0.0823820 | + | 0.0950739i | −0.0141284 | + | 0.0163050i | ||||
\(35\) | −8.07707 | + | 6.39153i | −1.36527 | + | 1.08037i | ||||
\(36\) | −1.89623 | + | 0.556784i | −0.316039 | + | 0.0927974i | ||||
\(37\) | −7.73994 | − | 5.51159i | −1.27244 | − | 0.906099i | −0.273987 | − | 0.961733i | \(-0.588343\pi\) |
−0.998451 | + | 0.0556338i | \(0.982282\pi\) | |||||||
\(38\) | −0.0403736 | − | 0.847545i | −0.00654946 | − | 0.137490i | ||||
\(39\) | −2.90271 | + | 2.76773i | −0.464806 | + | 0.443192i | ||||
\(40\) | −1.87376 | + | 1.47354i | −0.296267 | + | 0.232987i | ||||
\(41\) | −2.88222 | − | 1.31627i | −0.450127 | − | 0.205566i | 0.177435 | − | 0.984132i | \(-0.443220\pi\) |
−0.627562 | + | 0.778566i | \(0.715947\pi\) | |||||||
\(42\) | −0.307100 | + | 0.267735i | −0.0473865 | + | 0.0413123i | ||||
\(43\) | −5.19518 | + | 8.08386i | −0.792257 | + | 1.23278i | 0.176386 | + | 0.984321i | \(0.443559\pi\) |
−0.968643 | + | 0.248455i | \(0.920077\pi\) | |||||||
\(44\) | 6.92436 | + | 2.39654i | 1.04389 | + | 0.361293i | ||||
\(45\) | 1.94652 | − | 3.37148i | 0.290171 | − | 0.502590i | ||||
\(46\) | −0.197644 | − | 0.711575i | −0.0291410 | − | 0.104916i | ||||
\(47\) | −1.73198 | + | 0.999959i | −0.252635 | + | 0.145859i | −0.620970 | − | 0.783834i | \(-0.713261\pi\) |
0.368335 | + | 0.929693i | \(0.379928\pi\) | |||||||
\(48\) | 2.91590 | − | 2.52664i | 0.420873 | − | 0.364689i | ||||
\(49\) | 2.86932 | − | 6.38491i | 0.409903 | − | 0.912129i | ||||
\(50\) | 0.222566 | − | 1.54798i | 0.0314756 | − | 0.218918i | ||||
\(51\) | 0.0776548 | + | 0.813238i | 0.0108738 | + | 0.113876i | ||||
\(52\) | 2.94594 | − | 7.35861i | 0.408529 | − | 1.02045i | ||||
\(53\) | −3.24920 | − | 3.40767i | −0.446312 | − | 0.468079i | 0.461692 | − | 0.887040i | \(-0.347243\pi\) |
−0.908004 | + | 0.418962i | \(0.862394\pi\) | |||||||
\(54\) | 0.0705626 | − | 0.136872i | 0.00960236 | − | 0.0186260i | ||||
\(55\) | −13.1296 | + | 5.99611i | −1.77040 | + | 0.808515i | ||||
\(56\) | 0.668520 | − | 1.47565i | 0.0893347 | − | 0.197193i | ||||
\(57\) | −4.16427 | − | 3.60836i | −0.551571 | − | 0.477939i | ||||
\(58\) | −0.171809 | − | 0.0331136i | −0.0225597 | − | 0.00434802i | ||||
\(59\) | 11.3691 | + | 2.75810i | 1.48013 | + | 0.359075i | 0.892865 | − | 0.450324i | \(-0.148691\pi\) |
0.587260 | + | 0.809398i | \(0.300207\pi\) | |||||||
\(60\) | −0.731340 | + | 7.65894i | −0.0944156 | + | 0.988765i | ||||
\(61\) | −2.78393 | − | 1.43522i | −0.356446 | − | 0.183760i | 0.270698 | − | 0.962664i | \(-0.412746\pi\) |
−0.627143 | + | 0.778904i | \(0.715776\pi\) | |||||||
\(62\) | 0.316284 | − | 1.07716i | 0.0401681 | − | 0.136800i | ||||
\(63\) | −0.117893 | + | 2.64312i | −0.0148531 | + | 0.333002i | ||||
\(64\) | −3.08923 | + | 6.76447i | −0.386154 | + | 0.845559i | ||||
\(65\) | 5.80315 | + | 14.4956i | 0.719792 | + | 1.79795i | ||||
\(66\) | −0.507474 | + | 0.261621i | −0.0624657 | + | 0.0322033i | ||||
\(67\) | −0.171156 | − | 0.888044i | −0.0209101 | − | 0.108492i | 0.969974 | − | 0.243208i | \(-0.0781998\pi\) |
−0.990884 | + | 0.134716i | \(0.956988\pi\) | |||||||
\(68\) | −0.807251 | − | 1.39820i | −0.0978936 | − | 0.169557i | ||||
\(69\) | −4.23000 | − | 2.25988i | −0.509232 | − | 0.272058i | ||||
\(70\) | 0.523299 | + | 1.49730i | 0.0625462 | + | 0.178961i | ||||
\(71\) | 2.64028 | + | 3.04704i | 0.313343 | + | 0.361617i | 0.890474 | − | 0.455035i | \(-0.150373\pi\) |
−0.577131 | + | 0.816652i | \(0.695828\pi\) | |||||||
\(72\) | −0.0291349 | + | 0.611618i | −0.00343359 | + | 0.0720798i | ||||
\(73\) | −10.3116 | + | 13.1123i | −1.20689 | + | 1.53468i | −0.432946 | + | 0.901420i | \(0.642526\pi\) |
−0.773939 | + | 0.633260i | \(0.781716\pi\) | |||||||
\(74\) | −1.19188 | + | 0.848733i | −0.138553 | + | 0.0986633i | ||||
\(75\) | −6.27791 | − | 7.98301i | −0.724910 | − | 0.921799i | ||||
\(76\) | 10.4485 | + | 3.06795i | 1.19852 | + | 0.351917i | ||||
\(77\) | 6.04047 | − | 7.72909i | 0.688375 | − | 0.880812i | ||||
\(78\) | 0.256568 | + | 0.561805i | 0.0290506 | + | 0.0636119i | ||||
\(79\) | 5.20625 | − | 5.46016i | 0.585749 | − | 0.614316i | −0.362446 | − | 0.932005i | \(-0.618058\pi\) |
0.948195 | + | 0.317689i | \(0.102907\pi\) | |||||||
\(80\) | −4.91272 | − | 14.1944i | −0.549259 | − | 1.58698i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | −0.336709 | + | 0.353130i | −0.0371833 | + | 0.0389967i | ||||
\(83\) | −2.52294 | − | 5.52446i | −0.276928 | − | 0.606389i | 0.719151 | − | 0.694854i | \(-0.244531\pi\) |
−0.996079 | + | 0.0884654i | \(0.971804\pi\) | |||||||
\(84\) | −1.95801 | − | 4.84831i | −0.213637 | − | 0.528994i | ||||
\(85\) | 3.05155 | + | 0.896015i | 0.330987 | + | 0.0971865i | ||||
\(86\) | 0.914716 | + | 1.16316i | 0.0986364 | + | 0.125426i | ||||
\(87\) | −0.925559 | + | 0.659088i | −0.0992304 | + | 0.0706616i | ||||
\(88\) | 1.40336 | − | 1.78452i | 0.149599 | − | 0.190231i | ||||
\(89\) | −0.802991 | + | 16.8569i | −0.0851169 | + | 1.78682i | 0.404154 | + | 0.914691i | \(0.367566\pi\) |
−0.489271 | + | 0.872132i | \(0.662737\pi\) | |||||||
\(90\) | −0.392585 | − | 0.453067i | −0.0413820 | − | 0.0477574i | ||||
\(91\) | −8.04058 | − | 6.92472i | −0.842882 | − | 0.725908i | ||||
\(92\) | 9.45957 | + | 0.589835i | 0.986228 | + | 0.0614946i | ||||
\(93\) | −3.64515 | − | 6.31358i | −0.377984 | − | 0.654688i | ||||
\(94\) | 0.0582835 | + | 0.302403i | 0.00601148 | + | 0.0311905i | ||||
\(95\) | −19.0665 | + | 9.82948i | −1.95618 | + | 1.00848i | ||||
\(96\) | −0.675966 | − | 1.68848i | −0.0689905 | − | 0.172330i | ||||
\(97\) | 0.426327 | − | 0.933526i | 0.0432869 | − | 0.0947852i | −0.886753 | − | 0.462243i | \(-0.847045\pi\) |
0.930040 | + | 0.367458i | \(0.119772\pi\) | |||||||
\(98\) | −0.784626 | − | 0.739126i | −0.0792592 | − | 0.0746630i | ||||
\(99\) | −1.04456 | + | 3.55745i | −0.104982 | + | 0.357538i | ||||
\(100\) | 17.8396 | + | 9.19698i | 1.78396 | + | 0.919698i | ||||
\(101\) | −0.880624 | + | 9.22231i | −0.0876253 | + | 0.917654i | 0.839614 | + | 0.543184i | \(0.182781\pi\) |
−0.927239 | + | 0.374470i | \(0.877825\pi\) | |||||||
\(102\) | 0.122255 | + | 0.0296586i | 0.0121050 | + | 0.00293664i | ||||
\(103\) | 4.74091 | + | 0.913736i | 0.467136 | + | 0.0900331i | 0.417387 | − | 0.908729i | \(-0.362946\pi\) |
0.0497486 | + | 0.998762i | \(0.484158\pi\) | |||||||
\(104\) | −1.85599 | − | 1.60822i | −0.181995 | − | 0.157699i | ||||
\(105\) | 9.38215 | + | 4.25042i | 0.915604 | + | 0.414798i | ||||
\(106\) | −0.659536 | + | 0.301200i | −0.0640598 | + | 0.0292551i | ||||
\(107\) | 8.72692 | − | 16.9279i | 0.843663 | − | 1.63648i | 0.0746813 | − | 0.997207i | \(-0.476206\pi\) |
0.768982 | − | 0.639271i | \(-0.220764\pi\) | |||||||
\(108\) | 1.36379 | + | 1.43031i | 0.131231 | + | 0.137631i | ||||
\(109\) | −1.92338 | + | 4.80438i | −0.184227 | + | 0.460176i | −0.991517 | − | 0.129979i | \(-0.958509\pi\) |
0.807290 | + | 0.590155i | \(0.200933\pi\) | |||||||
\(110\) | 0.211281 | + | 2.21264i | 0.0201449 | + | 0.210967i | ||||
\(111\) | −1.35225 | + | 9.40509i | −0.128350 | + | 0.892692i | ||||
\(112\) | 7.40920 | + | 7.02198i | 0.700104 | + | 0.663515i | ||||
\(113\) | −6.59092 | + | 5.71107i | −0.620022 | + | 0.537252i | −0.907240 | − | 0.420613i | \(-0.861815\pi\) |
0.287218 | + | 0.957865i | \(0.407269\pi\) | |||||||
\(114\) | −0.734828 | + | 0.424253i | −0.0688230 | + | 0.0397350i | ||||
\(115\) | −14.2880 | + | 12.0182i | −1.33236 | + | 1.12070i | ||||
\(116\) | 1.12277 | − | 1.94470i | 0.104247 | − | 0.180561i | ||||
\(117\) | 3.79016 | + | 1.31179i | 0.350400 | + | 0.121275i | ||||
\(118\) | 0.973971 | − | 1.51553i | 0.0896613 | − | 0.139516i | ||||
\(119\) | −2.12111 | + | 0.415470i | −0.194441 | + | 0.0380861i | ||||
\(120\) | 2.16834 | + | 0.990248i | 0.197942 | + | 0.0903969i | ||||
\(121\) | 2.15896 | − | 1.69783i | 0.196269 | − | 0.154348i | ||||
\(122\) | −0.349068 | + | 0.332836i | −0.0316032 | + | 0.0301336i | ||||
\(123\) | 0.150766 | + | 3.16497i | 0.0135941 | + | 0.285375i | ||||
\(124\) | 11.7362 | + | 8.35730i | 1.05394 | + | 0.750507i | ||||
\(125\) | −19.2588 | + | 5.65489i | −1.72256 | + | 0.505789i | ||||
\(126\) | 0.378693 | + | 0.150278i | 0.0337367 | + | 0.0133878i | ||||
\(127\) | −9.13865 | + | 10.5466i | −0.810924 | + | 0.935856i | −0.998927 | − | 0.0463124i | \(-0.985253\pi\) |
0.188003 | + | 0.982168i | \(0.439798\pi\) | |||||||
\(128\) | 3.46139 | + | 3.30042i | 0.305946 | + | 0.291719i | ||||
\(129\) | 9.56579 | + | 0.913422i | 0.842221 | + | 0.0804223i | ||||
\(130\) | 2.40169 | − | 0.114407i | 0.210642 | − | 0.0100341i | ||||
\(131\) | −10.6167 | + | 2.57559i | −0.927589 | + | 0.225031i | −0.670972 | − | 0.741483i | \(-0.734123\pi\) |
−0.256617 | + | 0.966513i | \(0.582608\pi\) | |||||||
\(132\) | −1.04279 | − | 7.25278i | −0.0907634 | − | 0.631273i | ||||
\(133\) | 8.42032 | − | 11.9007i | 0.730135 | − | 1.03193i | ||||
\(134\) | −0.137850 | − | 0.0198198i | −0.0119084 | − | 0.00171217i | ||||
\(135\) | −3.88864 | − | 0.185239i | −0.334681 | − | 0.0159428i | ||||
\(136\) | −0.491180 | + | 0.0946672i | −0.0421184 | + | 0.00811765i | ||||
\(137\) | −1.75366 | − | 1.01248i | −0.149826 | − | 0.0865019i | 0.423213 | − | 0.906030i | \(-0.360902\pi\) |
−0.573039 | + | 0.819528i | \(0.694236\pi\) | |||||||
\(138\) | −0.541907 | + | 0.501736i | −0.0461302 | + | 0.0427106i | ||||
\(139\) | 10.4324i | 0.884864i | 0.896802 | + | 0.442432i | \(0.145884\pi\) | ||||
−0.896802 | + | 0.442432i | \(0.854116\pi\) | |||||||
\(140\) | −20.3557 | + | 0.0615946i | −1.72037 | + | 0.00520569i | ||||
\(141\) | 1.68244 | + | 1.08124i | 0.141687 | + | 0.0910566i | ||||
\(142\) | 0.576388 | − | 0.230751i | 0.0483694 | − | 0.0193642i | ||||
\(143\) | −8.62568 | − | 12.1131i | −0.721316 | − | 1.01295i | ||||
\(144\) | −3.58191 | − | 1.43398i | −0.298492 | − | 0.119498i | ||||
\(145\) | 1.04287 | + | 4.29877i | 0.0866057 | + | 0.356994i | ||||
\(146\) | 1.38877 | + | 2.16097i | 0.114936 | + | 0.178843i | ||||
\(147\) | −6.98993 | + | 0.375382i | −0.576520 | + | 0.0309610i | ||||
\(148\) | −5.29046 | − | 18.0176i | −0.434873 | − | 1.48104i | ||||
\(149\) | 1.50562 | − | 7.81189i | 0.123345 | − | 0.639975i | −0.866655 | − | 0.498908i | \(-0.833735\pi\) |
0.990000 | − | 0.141067i | \(-0.0450533\pi\) | |||||||
\(150\) | −1.47789 | + | 0.511502i | −0.120669 | + | 0.0417640i | ||||
\(151\) | 3.27999 | − | 13.5203i | 0.266922 | − | 1.10027i | −0.667645 | − | 0.744480i | \(-0.732698\pi\) |
0.934567 | − | 0.355788i | \(-0.115787\pi\) | |||||||
\(152\) | 1.95706 | − | 2.74830i | 0.158738 | − | 0.222917i | ||||
\(153\) | 0.687251 | − | 0.441670i | 0.0555610 | − | 0.0357069i | ||||
\(154\) | −0.820518 | − | 1.26830i | −0.0661192 | − | 0.102202i | ||||
\(155\) | −28.0926 | + | 4.03910i | −2.25645 | + | 0.324429i | ||||
\(156\) | −7.89050 | + | 0.753451i | −0.631745 | + | 0.0603244i | ||||
\(157\) | −0.670009 | − | 0.526901i | −0.0534726 | − | 0.0420513i | 0.591065 | − | 0.806624i | \(-0.298708\pi\) |
−0.644538 | + | 0.764573i | \(0.722950\pi\) | |||||||
\(158\) | −0.532355 | − | 1.03262i | −0.0423519 | − | 0.0821512i | ||||
\(159\) | −1.53998 | + | 4.44949i | −0.122129 | + | 0.352867i | ||||
\(160\) | −7.08053 | −0.559765 | ||||||||
\(161\) | 4.85274 | − | 11.7239i | 0.382450 | − | 0.923976i | ||||
\(162\) | −0.153991 | −0.0120987 | ||||||||
\(163\) | −5.65749 | + | 16.3462i | −0.443129 | + | 1.28034i | 0.473569 | + | 0.880757i | \(0.342965\pi\) |
−0.916698 | + | 0.399580i | \(0.869156\pi\) | |||||||
\(164\) | −2.86940 | − | 5.56587i | −0.224063 | − | 0.434621i | ||||
\(165\) | 11.3459 | + | 8.92252i | 0.883277 | + | 0.694617i | ||||
\(166\) | −0.930996 | + | 0.0888994i | −0.0722593 | + | 0.00689993i | ||||
\(167\) | 23.8239 | − | 3.42536i | 1.84355 | − | 0.265062i | 0.869917 | − | 0.493197i | \(-0.164172\pi\) |
0.973629 | + | 0.228135i | \(0.0732629\pi\) | |||||||
\(168\) | −1.61795 | + | 0.0819799i | −0.124827 | + | 0.00632489i | ||||
\(169\) | −2.59619 | + | 1.66847i | −0.199707 | + | 0.128344i | ||||
\(170\) | 0.284082 | − | 0.398937i | 0.0217881 | − | 0.0305971i | ||||
\(171\) | −1.29906 | + | 5.35479i | −0.0993415 | + | 0.409491i | ||||
\(172\) | −17.9463 | + | 6.21126i | −1.36839 | + | 0.473604i | ||||
\(173\) | −0.0231641 | + | 0.120187i | −0.00176113 | + | 0.00913763i | −0.982799 | − | 0.184680i | \(-0.940875\pi\) |
0.981038 | + | 0.193818i | \(0.0620871\pi\) | |||||||
\(174\) | 0.0492952 | + | 0.167884i | 0.00373706 | + | 0.0127272i | ||||
\(175\) | 19.3904 | − | 18.6010i | 1.46577 | − | 1.40610i | ||||
\(176\) | 7.73393 | + | 12.0342i | 0.582967 | + | 0.907115i | ||||
\(177\) | −2.75810 | − | 11.3691i | −0.207312 | − | 0.854551i | ||||
\(178\) | 2.41259 | + | 0.965855i | 0.180831 | + | 0.0723939i | ||||
\(179\) | 0.669075 | + | 0.939585i | 0.0500090 | + | 0.0702279i | 0.838823 | − | 0.544404i | \(-0.183244\pi\) |
−0.788814 | + | 0.614632i | \(0.789305\pi\) | |||||||
\(180\) | 7.14266 | − | 2.85949i | 0.532382 | − | 0.213134i | ||||
\(181\) | −15.3247 | − | 9.84858i | −1.13907 | − | 0.732039i | −0.171640 | − | 0.985160i | \(-0.554907\pi\) |
−0.967435 | + | 0.253121i | \(0.918543\pi\) | |||||||
\(182\) | −1.41266 | + | 0.821310i | −0.104713 | + | 0.0608796i | ||||
\(183\) | 3.13211i | 0.231532i | ||||||||
\(184\) | 1.13128 | − | 2.70988i | 0.0833994 | − | 0.199775i | ||||
\(185\) | 32.0351 | + | 18.4955i | 2.35527 | + | 1.35982i | ||||
\(186\) | −1.10235 | + | 0.212461i | −0.0808283 | + | 0.0155784i | ||||
\(187\) | −3.02548 | − | 0.144121i | −0.221245 | − | 0.0105392i | ||||
\(188\) | −3.91218 | − | 0.562487i | −0.285325 | − | 0.0410236i | ||||
\(189\) | 2.40332 | − | 1.10636i | 0.174816 | − | 0.0804760i | ||||
\(190\) | 0.470105 | + | 3.26965i | 0.0341050 | + | 0.237206i | ||||
\(191\) | −9.10882 | + | 2.20978i | −0.659091 | + | 0.159894i | −0.551336 | − | 0.834284i | \(-0.685882\pi\) |
−0.107756 | + | 0.994177i | \(0.534366\pi\) | |||||||
\(192\) | 7.42807 | − | 0.353843i | 0.536075 | − | 0.0255364i | ||||
\(193\) | 8.28310 | + | 0.790940i | 0.596230 | + | 0.0569331i | 0.388809 | − | 0.921319i | \(-0.372887\pi\) |
0.207422 | + | 0.978252i | \(0.433493\pi\) | |||||||
\(194\) | −0.114376 | − | 0.109057i | −0.00821170 | − | 0.00782984i | ||||
\(195\) | 10.2250 | − | 11.8003i | 0.732229 | − | 0.845037i | ||||
\(196\) | 12.2576 | − | 6.41341i | 0.875541 | − | 0.458100i | ||||
\(197\) | 5.36304 | − | 1.57473i | 0.382101 | − | 0.112195i | −0.0850408 | − | 0.996377i | \(-0.527102\pi\) |
0.467141 | + | 0.884183i | \(0.345284\pi\) | |||||||
\(198\) | 0.465076 | + | 0.331179i | 0.0330515 | + | 0.0235359i | ||||
\(199\) | −0.886646 | − | 18.6130i | −0.0628527 | − | 1.31944i | −0.781430 | − | 0.623993i | \(-0.785509\pi\) |
0.718578 | − | 0.695447i | \(-0.244794\pi\) | |||||||
\(200\) | 4.50056 | − | 4.29127i | 0.318237 | − | 0.303439i | ||||
\(201\) | −0.710896 | + | 0.559055i | −0.0501428 | + | 0.0394327i | ||||
\(202\) | 1.29769 | + | 0.592635i | 0.0913051 | + | 0.0416977i | ||||
\(203\) | −1.97553 | − | 2.26599i | −0.138655 | − | 0.159041i | ||||
\(204\) | −0.872866 | + | 1.35821i | −0.0611128 | + | 0.0950934i | ||||
\(205\) | 11.6569 | + | 4.03449i | 0.814154 | + | 0.281781i | ||||
\(206\) | 0.371746 | − | 0.643883i | 0.0259008 | − | 0.0448615i | ||||
\(207\) | −0.0703658 | + | 4.79532i | −0.00489076 | + | 0.333297i | ||||
\(208\) | 13.4014 | − | 7.73730i | 0.929220 | − | 0.536485i | ||||
\(209\) | 15.4396 | − | 13.3785i | 1.06798 | − | 0.925409i | ||||
\(210\) | 1.09106 | − | 1.15123i | 0.0752905 | − | 0.0794423i | ||||
\(211\) | 0.565984 | − | 3.93651i | 0.0389640 | − | 0.271000i | −0.961021 | − | 0.276475i | \(-0.910834\pi\) |
0.999985 | + | 0.00547487i | \(0.00174271\pi\) | |||||||
\(212\) | −0.884520 | − | 9.26311i | −0.0607491 | − | 0.636193i | ||||
\(213\) | 1.49847 | − | 3.74301i | 0.102674 | − | 0.256467i | ||||
\(214\) | −2.02383 | − | 2.12253i | −0.138346 | − | 0.145093i | ||||
\(215\) | 17.1420 | − | 33.2508i | 1.16907 | − | 2.26769i | ||||
\(216\) | 0.556978 | − | 0.254363i | 0.0378976 | − | 0.0173072i | ||||
\(217\) | 15.6779 | − | 11.2358i | 1.06428 | − | 0.762736i | ||||
\(218\) | 0.602268 | + | 0.521868i | 0.0407907 | + | 0.0353454i | ||||
\(219\) | 16.3797 | + | 3.15694i | 1.10684 | + | 0.213326i | ||||
\(220\) | −27.7217 | − | 6.72520i | −1.86899 | − | 0.453413i | ||||
\(221\) | −0.311454 | + | 3.26169i | −0.0209507 | + | 0.219405i | ||||
\(222\) | 1.30054 | + | 0.670472i | 0.0872862 | + | 0.0449992i | ||||
\(223\) | −2.94029 | + | 10.0137i | −0.196897 | + | 0.670568i | 0.800558 | + | 0.599256i | \(0.204537\pi\) |
−0.997454 | + | 0.0713120i | \(0.977281\pi\) | |||||||
\(224\) | 4.27038 | − | 2.21791i | 0.285327 | − | 0.148191i | ||||
\(225\) | −4.21888 | + | 9.23806i | −0.281259 | + | 0.615870i | ||||
\(226\) | 0.499128 | + | 1.24676i | 0.0332015 | + | 0.0829333i | ||||
\(227\) | −5.55036 | + | 2.86141i | −0.368390 | + | 0.189918i | −0.632474 | − | 0.774581i | \(-0.717961\pi\) |
0.264084 | + | 0.964500i | \(0.414930\pi\) | |||||||
\(228\) | −2.06086 | − | 10.6928i | −0.136484 | − | 0.708146i | ||||
\(229\) | 0.591621 | + | 1.02472i | 0.0390954 | + | 0.0677152i | 0.884911 | − | 0.465760i | \(-0.154219\pi\) |
−0.845816 | + | 0.533475i | \(0.820886\pi\) | |||||||
\(230\) | 1.02928 | + | 2.68451i | 0.0678686 | + | 0.177011i | ||||
\(231\) | −9.63779 | − | 1.82730i | −0.634120 | − | 0.120228i | ||||
\(232\) | −0.455611 | − | 0.525803i | −0.0299123 | − | 0.0345206i | ||||
\(233\) | −0.374314 | + | 7.85782i | −0.0245221 | + | 0.514783i | 0.952874 | + | 0.303366i | \(0.0981106\pi\) |
−0.977396 | + | 0.211416i | \(0.932192\pi\) | |||||||
\(234\) | 0.381786 | − | 0.485481i | 0.0249581 | − | 0.0317369i | ||||
\(235\) | 6.34210 | − | 4.51619i | 0.413713 | − | 0.294604i | ||||
\(236\) | 14.2920 | + | 18.1737i | 0.930329 | + | 1.18301i | ||||
\(237\) | −7.23883 | − | 2.12551i | −0.470212 | − | 0.138067i | ||||
\(238\) | −0.0463706 | + | 0.329591i | −0.00300576 | + | 0.0213642i | ||||
\(239\) | −0.570663 | − | 1.24958i | −0.0369132 | − | 0.0808285i | 0.890277 | − | 0.455419i | \(-0.150511\pi\) |
−0.927190 | + | 0.374591i | \(0.877783\pi\) | |||||||
\(240\) | −10.3653 | + | 10.8708i | −0.669078 | + | 0.701709i | ||||
\(241\) | −0.189292 | − | 0.546924i | −0.0121934 | − | 0.0352305i | 0.938740 | − | 0.344626i | \(-0.111994\pi\) |
−0.950933 | + | 0.309396i | \(0.899873\pi\) | |||||||
\(242\) | −0.138333 | − | 0.399687i | −0.00889239 | − | 0.0256929i | ||||
\(243\) | −0.690079 | + | 0.723734i | −0.0442686 | + | 0.0464276i | ||||
\(244\) | −2.57140 | − | 5.63057i | −0.164617 | − | 0.360460i | ||||
\(245\) | −8.75703 | + | 25.8060i | −0.559466 | + | 1.64868i | ||||
\(246\) | 0.468164 | + | 0.137465i | 0.0298490 | + | 0.00876447i | ||||
\(247\) | −13.6611 | − | 17.3715i | −0.869236 | − | 1.10532i | ||||
\(248\) | 3.63621 | − | 2.58933i | 0.230900 | − | 0.164423i | ||||
\(249\) | −3.75426 | + | 4.77393i | −0.237917 | + | 0.302536i | ||||
\(250\) | −0.147070 | + | 3.08738i | −0.00930151 | + | 0.195263i | ||||
\(251\) | −19.8420 | − | 22.8989i | −1.25241 | − | 1.44536i | −0.847314 | − | 0.531092i | \(-0.821782\pi\) |
−0.405101 | − | 0.914272i | \(-0.632764\pi\) | |||||||
\(252\) | −3.41214 | + | 3.96198i | −0.214945 | + | 0.249581i | ||||
\(253\) | 10.5255 | − | 14.3313i | 0.661734 | − | 0.900998i | ||||
\(254\) | 1.07448 | + | 1.86105i | 0.0674188 | + | 0.116773i | ||||
\(255\) | −0.601890 | − | 3.12290i | −0.0376918 | − | 0.195564i | ||||
\(256\) | −12.5650 | + | 6.47772i | −0.785314 | + | 0.404857i | ||||
\(257\) | 5.77114 | + | 14.4156i | 0.359994 | + | 0.899221i | 0.992227 | + | 0.124443i | \(0.0397144\pi\) |
−0.632233 | + | 0.774778i | \(0.717861\pi\) | |||||||
\(258\) | 0.614707 | − | 1.34602i | 0.0382700 | − | 0.0837996i | ||||
\(259\) | −25.1144 | − | 1.12019i | −1.56054 | − | 0.0696054i | ||||
\(260\) | −8.69365 | + | 29.6078i | −0.539157 | + | 1.83620i | ||||
\(261\) | 1.00994 | + | 0.520658i | 0.0625135 | + | 0.0322279i | ||||
\(262\) | −0.159913 | + | 1.67468i | −0.00987945 | + | 0.103462i | ||||
\(263\) | 11.6346 | + | 2.82252i | 0.717419 | + | 0.174044i | 0.577820 | − | 0.816164i | \(-0.303904\pi\) |
0.139599 | + | 0.990208i | \(0.455419\pi\) | |||||||
\(264\) | −2.22920 | − | 0.429644i | −0.137198 | − | 0.0264427i | ||||
\(265\) | 13.8531 | + | 12.0037i | 0.850986 | + | 0.737384i | ||||
\(266\) | −1.30772 | − | 1.82472i | −0.0801814 | − | 0.111881i | ||||
\(267\) | 15.3509 | − | 7.01053i | 0.939461 | − | 0.429037i | ||||
\(268\) | 0.819001 | − | 1.58864i | 0.0500285 | − | 0.0970417i | ||||
\(269\) | 12.1052 | + | 12.6956i | 0.738067 | + | 0.774062i | 0.980587 | − | 0.196084i | \(-0.0628226\pi\) |
−0.242520 | + | 0.970146i | \(0.577974\pi\) | |||||||
\(270\) | −0.222809 | + | 0.556550i | −0.0135597 | + | 0.0338706i | ||||
\(271\) | 2.26777 | + | 23.7492i | 0.137757 | + | 1.44266i | 0.754916 | + | 0.655822i | \(0.227678\pi\) |
−0.617159 | + | 0.786839i | \(0.711716\pi\) | |||||||
\(272\) | 0.448573 | − | 3.11989i | 0.0271987 | − | 0.189171i | ||||
\(273\) | −2.47053 | + | 10.3198i | −0.149523 | + | 0.624585i | ||||
\(274\) | −0.235661 | + | 0.204202i | −0.0142368 | + | 0.0123363i | ||||
\(275\) | 32.6094 | − | 18.8271i | 1.96642 | − | 1.13531i | ||||
\(276\) | −3.81036 | − | 8.67828i | −0.229357 | − | 0.522371i | ||||
\(277\) | 4.57844 | − | 7.93009i | 0.275092 | − | 0.476473i | −0.695066 | − | 0.718946i | \(-0.744625\pi\) |
0.970158 | + | 0.242472i | \(0.0779584\pi\) | |||||||
\(278\) | 1.51814 | + | 0.525432i | 0.0910517 | + | 0.0315133i | ||||
\(279\) | −3.94143 | + | 6.13299i | −0.235967 | + | 0.367172i | ||||
\(280\) | −2.04472 | + | 5.96617i | −0.122195 | + | 0.356547i | ||||
\(281\) | 11.2318 | + | 5.12941i | 0.670035 | + | 0.305995i | 0.721232 | − | 0.692694i | \(-0.243576\pi\) |
−0.0511965 | + | 0.998689i | \(0.516303\pi\) | |||||||
\(282\) | 0.242080 | − | 0.190374i | 0.0144156 | − | 0.0113366i | ||||
\(283\) | 5.26359 | − | 5.01882i | 0.312888 | − | 0.298338i | −0.517320 | − | 0.855792i | \(-0.673070\pi\) |
0.830208 | + | 0.557454i | \(0.188222\pi\) | |||||||
\(284\) | 0.379134 | + | 7.95900i | 0.0224974 | + | 0.472280i | ||||
\(285\) | 17.4736 | + | 12.4429i | 1.03505 | + | 0.737052i | ||||
\(286\) | −2.19715 | + | 0.645141i | −0.129920 | + | 0.0381480i | ||||
\(287\) | −8.29423 | + | 1.21816i | −0.489593 | + | 0.0719056i | ||||
\(288\) | −1.19104 | + | 1.37453i | −0.0701825 | + | 0.0809949i | ||||
\(289\) | −11.8205 | − | 11.2708i | −0.695322 | − | 0.662988i | ||||
\(290\) | 0.678088 | + | 0.0647495i | 0.0398187 | + | 0.00380222i | ||||
\(291\) | −1.02511 | + | 0.0488318i | −0.0600927 | + | 0.00286257i | ||||
\(292\) | −32.0376 | + | 7.77223i | −1.87486 | + | 0.454835i | ||||
\(293\) | −1.68306 | − | 11.7059i | −0.0983252 | − | 0.683867i | −0.978048 | − | 0.208380i | \(-0.933181\pi\) |
0.879723 | − | 0.475487i | \(-0.157728\pi\) | |||||||
\(294\) | −0.297425 | + | 1.03609i | −0.0173462 | + | 0.0604260i | ||||
\(295\) | −45.0805 | − | 6.48160i | −2.62469 | − | 0.377373i | ||||
\(296\) | −5.81147 | − | 0.276835i | −0.337785 | − | 0.0160907i | ||||
\(297\) | 3.64064 | − | 0.701675i | 0.211251 | − | 0.0407153i | ||||
\(298\) | −1.06097 | − | 0.612549i | −0.0614601 | − | 0.0354840i | ||||
\(299\) | −14.9435 | − | 12.1108i | −0.864208 | − | 0.700384i | ||||
\(300\) | − | 20.0708i | − | 1.15879i | ||||||
\(301\) | 0.0769298 | + | 25.4237i | 0.00443416 | + | 1.46540i | ||||
\(302\) | −1.80230 | − | 1.15827i | −0.103710 | − | 0.0666507i | ||||
\(303\) | 8.60064 | − | 3.44318i | 0.494094 | − | 0.197805i | ||||
\(304\) | 12.3318 | + | 17.3175i | 0.707275 | + | 0.993229i | ||||
\(305\) | 11.3200 | + | 4.53185i | 0.648182 | + | 0.259493i | ||||
\(306\) | −0.0296586 | − | 0.122255i | −0.00169547 | − | 0.00698883i | ||||
\(307\) | 11.4389 | + | 17.7993i | 0.652854 | + | 1.01586i | 0.997034 | + | 0.0769571i | \(0.0245204\pi\) |
−0.344180 | + | 0.938904i | \(0.611843\pi\) | |||||||
\(308\) | 18.8260 | − | 4.62750i | 1.07271 | − | 0.263676i | ||||
\(309\) | −1.36025 | − | 4.63259i | −0.0773820 | − | 0.263539i | ||||
\(310\) | −0.827119 | + | 4.29150i | −0.0469772 | + | 0.243741i | ||||
\(311\) | 16.0861 | − | 5.56745i | 0.912158 | − | 0.315701i | 0.169624 | − | 0.985509i | \(-0.445745\pi\) |
0.742535 | + | 0.669808i | \(0.233624\pi\) | |||||||
\(312\) | −0.578983 | + | 2.38660i | −0.0327785 | + | 0.135115i | ||||
\(313\) | −5.44430 | + | 7.64545i | −0.307730 | + | 0.432146i | −0.939261 | − | 0.343205i | \(-0.888488\pi\) |
0.631531 | + | 0.775351i | \(0.282427\pi\) | |||||||
\(314\) | −0.110421 | + | 0.0709631i | −0.00623140 | + | 0.00400468i | ||||
\(315\) | −0.521225 | − | 10.2868i | −0.0293677 | − | 0.579598i | ||||
\(316\) | 14.7582 | − | 2.12191i | 0.830213 | − | 0.119367i | ||||
\(317\) | −21.3319 | + | 2.03695i | −1.19812 | + | 0.114406i | −0.674976 | − | 0.737839i | \(-0.735846\pi\) |
−0.523142 | + | 0.852246i | \(0.675240\pi\) | |||||||
\(318\) | 0.569934 | + | 0.448201i | 0.0319603 | + | 0.0251339i | ||||
\(319\) | −1.93041 | − | 3.74448i | −0.108082 | − | 0.209651i | ||||
\(320\) | 9.46882 | − | 27.3584i | 0.529323 | − | 1.52938i | ||||
\(321\) | −19.0450 | −1.06299 | ||||||||
\(322\) | −1.46167 | − | 1.29666i | −0.0814559 | − | 0.0722600i | ||||
\(323\) | −4.50142 | −0.250465 | ||||||||
\(324\) | 0.646380 | − | 1.86759i | 0.0359100 | − | 0.103755i | ||||
\(325\) | −18.6647 | − | 36.2044i | −1.03533 | − | 2.00826i | ||||
\(326\) | 2.09379 | + | 1.64657i | 0.115964 | + | 0.0911952i | ||||
\(327\) | 5.15165 | − | 0.491923i | 0.284887 | − | 0.0272034i | ||||
\(328\) | −1.92039 | + | 0.276111i | −0.106036 | + | 0.0152457i | ||||
\(329\) | −2.41036 | + | 4.71040i | −0.132888 | + | 0.259693i | ||||
\(330\) | 1.86986 | − | 1.20168i | 0.102932 | − | 0.0661506i | ||||
\(331\) | 2.89793 | − | 4.06957i | 0.159285 | − | 0.223684i | −0.727219 | − | 0.686405i | \(-0.759188\pi\) |
0.886504 | + | 0.462721i | \(0.153127\pi\) | |||||||
\(332\) | 2.82971 | − | 11.6642i | 0.155301 | − | 0.640158i | ||||
\(333\) | 8.97921 | − | 3.10774i | 0.492058 | − | 0.170303i | ||||
\(334\) | 0.701437 | − | 3.63940i | 0.0383809 | − | 0.199139i | ||||
\(335\) | 0.991930 | + | 3.37820i | 0.0541949 | + | 0.184571i | ||||
\(336\) | 2.84629 | − | 9.80322i | 0.155278 | − | 0.534809i | ||||
\(337\) | 0.680731 | + | 1.05924i | 0.0370818 | + | 0.0577004i | 0.859300 | − | 0.511473i | \(-0.170900\pi\) |
−0.822218 | + | 0.569173i | \(0.807263\pi\) | |||||||
\(338\) | 0.112040 | + | 0.461835i | 0.00609417 | + | 0.0251205i | ||||
\(339\) | 8.09633 | + | 3.24128i | 0.439732 | + | 0.176042i | ||||
\(340\) | 3.64585 | + | 5.11988i | 0.197724 | + | 0.277664i | ||||
\(341\) | 25.0936 | − | 10.0460i | 1.35889 | − | 0.544019i | ||||
\(342\) | 0.713809 | + | 0.458737i | 0.0385984 | + | 0.0248057i | ||||
\(343\) | −2.80201 | − | 18.3071i | −0.151294 | − | 0.988489i | ||||
\(344\) | 5.88388i | 0.317238i | ||||||||
\(345\) | 17.2293 | + | 7.19265i | 0.927595 | + | 0.387239i | ||||
\(346\) | 0.0163231 | + | 0.00942412i | 0.000877533 | + | 0.000506644i | ||||
\(347\) | 25.5243 | − | 4.91941i | 1.37022 | − | 0.264088i | 0.549534 | − | 0.835472i | \(-0.314805\pi\) |
0.820683 | + | 0.571384i | \(0.193593\pi\) | |||||||
\(348\) | −2.24301 | − | 0.106848i | −0.120238 | − | 0.00572763i | ||||
\(349\) | −21.3367 | − | 3.06776i | −1.14213 | − | 0.164213i | −0.454824 | − | 0.890581i | \(-0.650298\pi\) |
−0.687306 | + | 0.726368i | \(0.741207\pi\) | |||||||
\(350\) | −1.73024 | − | 3.75856i | −0.0924853 | − | 0.200904i | ||||
\(351\) | −0.570789 | − | 3.96992i | −0.0304665 | − | 0.211899i | ||||
\(352\) | 6.55323 | − | 1.58980i | 0.349288 | − | 0.0847365i | ||||
\(353\) | −3.61730 | + | 0.172313i | −0.192530 | + | 0.00917131i | −0.143625 | − | 0.989632i | \(-0.545876\pi\) |
−0.0489044 | + | 0.998803i | \(0.515573\pi\) | |||||||
\(354\) | −1.79335 | − | 0.171245i | −0.0953157 | − | 0.00910155i | ||||
\(355\) | −11.3598 | − | 10.8315i | −0.602913 | − | 0.574877i | ||||
\(356\) | −21.8408 | + | 25.2056i | −1.15756 | + | 1.33589i | ||||
\(357\) | 1.34123 | + | 1.69493i | 0.0709855 | + | 0.0897054i | ||||
\(358\) | 0.170428 | − | 0.0500422i | 0.00900740 | − | 0.00264481i | ||||
\(359\) | 12.8549 | + | 9.15397i | 0.678458 | + | 0.483128i | 0.866593 | − | 0.499015i | \(-0.166305\pi\) |
−0.188135 | + | 0.982143i | \(0.560244\pi\) | |||||||
\(360\) | −0.113424 | − | 2.38106i | −0.00597795 | − | 0.125493i | ||||
\(361\) | 8.22260 | − | 7.84023i | 0.432768 | − | 0.412644i | ||||
\(362\) | −2.20501 | + | 1.73404i | −0.115893 | + | 0.0911392i | ||||
\(363\) | −2.49838 | − | 1.14097i | −0.131131 | − | 0.0598856i | ||||
\(364\) | −4.03113 | − | 20.5802i | −0.211289 | − | 1.07869i | ||||
\(365\) | 35.1096 | − | 54.6316i | 1.83772 | − | 2.85955i | ||||
\(366\) | 0.455789 | + | 0.157750i | 0.0238245 | + | 0.00824573i | ||||
\(367\) | 2.35225 | − | 4.07421i | 0.122786 | − | 0.212672i | −0.798079 | − | 0.602553i | \(-0.794150\pi\) |
0.920865 | + | 0.389881i | \(0.127484\pi\) | |||||||
\(368\) | 13.8049 | + | 12.3212i | 0.719628 | + | 0.642287i | ||||
\(369\) | 2.74405 | − | 1.58428i | 0.142850 | − | 0.0824742i | ||||
\(370\) | 4.30495 | − | 3.73026i | 0.223804 | − | 0.193927i | ||||
\(371\) | −12.1151 | − | 2.90029i | −0.628983 | − | 0.150576i | ||||
\(372\) | 2.05043 | − | 14.2611i | 0.106310 | − | 0.739402i | ||||
\(373\) | 2.22958 | + | 23.3492i | 0.115443 | + | 1.20898i | 0.848644 | + | 0.528965i | \(0.177420\pi\) |
−0.733200 | + | 0.680013i | \(0.761974\pi\) | |||||||
\(374\) | −0.173352 | + | 0.433013i | −0.00896383 | + | 0.0223906i | ||||
\(375\) | 13.8512 | + | 14.5267i | 0.715270 | + | 0.750154i | ||||
\(376\) | −0.561131 | + | 1.08844i | −0.0289381 | + | 0.0561322i | ||||
\(377\) | −4.14537 | + | 1.89313i | −0.213498 | + | 0.0975011i | ||||
\(378\) | −0.0399549 | − | 0.405457i | −0.00205506 | − | 0.0208545i | ||||
\(379\) | 5.52282 | + | 4.78555i | 0.283688 | + | 0.245817i | 0.785067 | − | 0.619410i | \(-0.212628\pi\) |
−0.501379 | + | 0.865228i | \(0.667174\pi\) | |||||||
\(380\) | −41.6275 | − | 8.02304i | −2.13544 | − | 0.411573i | ||||
\(381\) | 13.5617 | + | 3.29004i | 0.694788 | + | 0.168554i | ||||
\(382\) | −0.137200 | + | 1.43682i | −0.00701977 | + | 0.0735143i | ||||
\(383\) | −18.9256 | − | 9.75681i | −0.967051 | − | 0.498550i | −0.0990343 | − | 0.995084i | \(-0.531575\pi\) |
−0.868017 | + | 0.496534i | \(0.834606\pi\) | |||||||
\(384\) | 1.34744 | − | 4.58894i | 0.0687610 | − | 0.234179i | ||||
\(385\) | −20.5491 | + | 32.1888i | −1.04728 | + | 1.64049i | ||||
\(386\) | 0.532280 | − | 1.16553i | 0.0270924 | − | 0.0593240i | ||||
\(387\) | −3.57142 | − | 8.92096i | −0.181545 | − | 0.453478i | ||||
\(388\) | 1.80274 | − | 0.929375i | 0.0915200 | − | 0.0471818i | ||||
\(389\) | 5.66573 | + | 29.3966i | 0.287264 | + | 1.49047i | 0.783016 | + | 0.622002i | \(0.213680\pi\) |
−0.495752 | + | 0.868464i | \(0.665107\pi\) | |||||||
\(390\) | −1.20221 | − | 2.08229i | −0.0608762 | − | 0.105441i | ||||
\(391\) | −3.82060 | + | 0.867715i | −0.193216 | + | 0.0438822i | ||||
\(392\) | −0.635651 | − | 4.23878i | −0.0321052 | − | 0.214091i | ||||
\(393\) | 7.15415 | + | 8.25633i | 0.360879 | + | 0.416477i | ||||
\(394\) | 0.0409549 | − | 0.859749i | 0.00206328 | − | 0.0433135i | ||||
\(395\) | −18.1558 | + | 23.0870i | −0.913519 | + | 1.16163i | ||||
\(396\) | −5.96869 | + | 4.25028i | −0.299938 | + | 0.213585i | ||||
\(397\) | −13.3814 | − | 17.0158i | −0.671591 | − | 0.853998i | 0.324168 | − | 0.946000i | \(-0.394916\pi\) |
−0.995759 | + | 0.0920020i | \(0.970673\pi\) | |||||||
\(398\) | −2.75324 | − | 0.808425i | −0.138008 | − | 0.0405227i | ||||
\(399\) | −14.4362 | − | 2.03105i | −0.722715 | − | 0.101680i | ||||
\(400\) | 16.2776 | + | 35.6430i | 0.813881 | + | 1.78215i | ||||
\(401\) | −18.9775 | + | 19.9030i | −0.947689 | + | 0.993908i | −0.999989 | − | 0.00472353i | \(-0.998496\pi\) |
0.0522996 | + | 0.998631i | \(0.483345\pi\) | |||||||
\(402\) | 0.0455499 | + | 0.131608i | 0.00227182 | + | 0.00656399i | ||||
\(403\) | −9.56332 | − | 27.6314i | −0.476383 | − | 1.37642i | ||||
\(404\) | −12.6345 | + | 13.2507i | −0.628592 | + | 0.659248i | ||||
\(405\) | 1.61723 | + | 3.54124i | 0.0803608 | + | 0.175966i | ||||
\(406\) | −0.429248 | + | 0.173354i | −0.0213032 | + | 0.00860340i | ||||
\(407\) | −33.8022 | − | 9.92523i | −1.67551 | − | 0.491975i | ||||
\(408\) | 0.309215 | + | 0.393199i | 0.0153084 | + | 0.0194663i | ||||
\(409\) | 10.5588 | − | 7.51890i | 0.522100 | − | 0.371786i | −0.288413 | − | 0.957506i | \(-0.593128\pi\) |
0.810513 | + | 0.585720i | \(0.199188\pi\) | |||||||
\(410\) | 1.17421 | − | 1.49313i | 0.0579901 | − | 0.0737404i | ||||
\(411\) | −0.0963514 | + | 2.02266i | −0.00475266 | + | 0.0997707i | ||||
\(412\) | 6.24857 | + | 7.21124i | 0.307845 | + | 0.355272i | ||||
\(413\) | 29.2191 | − | 10.2119i | 1.43778 | − | 0.502496i | ||||
\(414\) | 0.694277 | + | 0.251758i | 0.0341218 | + | 0.0123732i | ||||
\(415\) | 11.8218 | + | 20.4760i | 0.580310 | + | 1.00513i | ||||
\(416\) | −1.38051 | − | 7.16278i | −0.0676852 | − | 0.351184i | ||||
\(417\) | 9.27268 | − | 4.78040i | 0.454085 | − | 0.234097i | ||||
\(418\) | −1.16923 | − | 2.92060i | −0.0571891 | − | 0.142851i | ||||
\(419\) | 7.19429 | − | 15.7533i | 0.351464 | − | 0.769599i | −0.648501 | − | 0.761214i | \(-0.724604\pi\) |
0.999965 | − | 0.00838481i | \(-0.00266900\pi\) | |||||||
\(420\) | 9.38228 | + | 18.0647i | 0.457809 | + | 0.881466i | ||||
\(421\) | −7.99125 | + | 27.2157i | −0.389470 | + | 1.32641i | 0.498651 | + | 0.866803i | \(0.333829\pi\) |
−0.888121 | + | 0.459609i | \(0.847989\pi\) | |||||||
\(422\) | −0.544340 | − | 0.280627i | −0.0264981 | − | 0.0136607i | ||||
\(423\) | 0.190104 | − | 1.99086i | 0.00924318 | − | 0.0967990i | ||||
\(424\) | −2.80177 | − | 0.679702i | −0.136066 | − | 0.0330092i | ||||
\(425\) | −8.14673 | − | 1.57015i | −0.395174 | − | 0.0761636i | ||||
\(426\) | −0.469216 | − | 0.406578i | −0.0227336 | − | 0.0196988i | ||||
\(427\) | −8.24684 | + | 0.812666i | −0.399092 | + | 0.0393277i | ||||
\(428\) | 34.2371 | − | 15.6355i | 1.65491 | − | 0.755772i | ||||
\(429\) | −6.81401 | + | 13.2173i | −0.328984 | + | 0.638139i | ||||
\(430\) | −3.97534 | − | 4.16922i | −0.191708 | − | 0.201058i | ||||
\(431\) | −12.7698 | + | 31.8974i | −0.615100 | + | 1.53645i | 0.213700 | + | 0.976899i | \(0.431449\pi\) |
−0.828799 | + | 0.559546i | \(0.810976\pi\) | |||||||
\(432\) | 0.366753 | + | 3.84081i | 0.0176454 | + | 0.184791i | ||||
\(433\) | −1.32814 | + | 9.23741i | −0.0638263 | + | 0.443922i | 0.932701 | + | 0.360651i | \(0.117446\pi\) |
−0.996527 | + | 0.0832702i | \(0.973464\pi\) | |||||||
\(434\) | −0.845428 | − | 2.84736i | −0.0405818 | − | 0.136678i | ||||
\(435\) | 3.34303 | − | 2.89675i | 0.160286 | − | 0.138889i | ||||
\(436\) | −8.85722 | + | 5.11372i | −0.424184 | + | 0.244903i | ||||
\(437\) | 14.6114 | − | 22.0186i | 0.698957 | − | 1.05329i | ||||
\(438\) | 1.28438 | − | 2.22460i | 0.0613698 | − | 0.106296i | ||||
\(439\) | −12.5573 | − | 4.34613i | −0.599328 | − | 0.207429i | 0.0105242 | − | 0.999945i | \(-0.496650\pi\) |
−0.609852 | + | 0.792515i | \(0.708771\pi\) | |||||||
\(440\) | −4.77824 | + | 7.43509i | −0.227794 | + | 0.354454i | ||||
\(441\) | 3.53662 | + | 6.04089i | 0.168411 | + | 0.287661i | ||||
\(442\) | 0.458959 | + | 0.209600i | 0.0218305 | + | 0.00996964i | ||||
\(443\) | −28.0792 | + | 22.0817i | −1.33408 | + | 1.04913i | −0.340009 | + | 0.940422i | \(0.610430\pi\) |
−0.994073 | + | 0.108712i | \(0.965327\pi\) | |||||||
\(444\) | −13.5905 | + | 12.9585i | −0.644976 | + | 0.614983i | ||||
\(445\) | −3.12608 | − | 65.6245i | −0.148190 | − | 3.11090i | ||||
\(446\) | 1.30912 | + | 0.932220i | 0.0619886 | + | 0.0441419i | ||||
\(447\) | −7.63340 | + | 2.24137i | −0.361047 | + | 0.106013i | ||||
\(448\) | 2.85898 | + | 19.4663i | 0.135074 | + | 0.919696i | ||||
\(449\) | −11.3023 | + | 13.0436i | −0.533390 | + | 0.615565i | −0.956932 | − | 0.290311i | \(-0.906241\pi\) |
0.423542 | + | 0.905876i | \(0.360787\pi\) | |||||||
\(450\) | 1.13185 | + | 1.07922i | 0.0533559 | + | 0.0508747i | ||||
\(451\) | −11.6947 | − | 1.11671i | −0.550680 | − | 0.0525836i | ||||
\(452\) | −17.2158 | + | 0.820087i | −0.809761 | + | 0.0385737i | ||||
\(453\) | −13.5203 | + | 3.27999i | −0.635240 | + | 0.154107i | ||||
\(454\) | 0.136850 | + | 0.951812i | 0.00642269 | + | 0.0446708i | ||||
\(455\) | 33.7232 | + | 23.8607i | 1.58097 | + | 1.11861i | ||||
\(456\) | −3.33956 | − | 0.480157i | −0.156389 | − | 0.0224854i | ||||
\(457\) | 24.4932 | + | 1.16676i | 1.14575 | + | 0.0545786i | 0.611851 | − | 0.790973i | \(-0.290425\pi\) |
0.533894 | + | 0.845551i | \(0.320728\pi\) | |||||||
\(458\) | 0.178915 | − | 0.0344831i | 0.00836017 | − | 0.00161129i | ||||
\(459\) | −0.707488 | − | 0.408469i | −0.0330227 | − | 0.0190657i | ||||
\(460\) | −36.8781 | + | 1.21473i | −1.71945 | + | 0.0566369i | ||||
\(461\) | 17.7904i | 0.828582i | 0.910144 | + | 0.414291i | \(0.135970\pi\) | ||||
−0.910144 | + | 0.414291i | \(0.864030\pi\) | |||||||
\(462\) | −0.751323 | + | 1.31047i | −0.0349547 | + | 0.0609687i | ||||
\(463\) | −17.7612 | − | 11.4144i | −0.825431 | − | 0.530473i | 0.0583917 | − | 0.998294i | \(-0.481403\pi\) |
−0.883823 | + | 0.467821i | \(0.845039\pi\) | |||||||
\(464\) | 4.06993 | − | 1.62935i | 0.188942 | − | 0.0756409i | ||||
\(465\) | 16.4629 | + | 23.1189i | 0.763447 | + | 1.07211i | ||||
\(466\) | 1.12463 | + | 0.450233i | 0.0520974 | + | 0.0208566i | ||||
\(467\) | −0.564108 | − | 2.32528i | −0.0261038 | − | 0.107601i | 0.957269 | − | 0.289198i | \(-0.0933886\pi\) |
−0.983373 | + | 0.181597i | \(0.941873\pi\) | |||||||
\(468\) | 4.28533 | + | 6.66810i | 0.198089 | + | 0.308233i | ||||
\(469\) | −1.65644 | − | 1.72673i | −0.0764874 | − | 0.0797332i | ||||
\(470\) | −0.337780 | − | 1.15037i | −0.0155806 | − | 0.0530627i | ||||
\(471\) | −0.161312 | + | 0.836968i | −0.00743288 | + | 0.0385655i | ||||
\(472\) | 6.76935 | − | 2.34289i | 0.311585 | − | 0.107840i | ||||
\(473\) | −8.39957 | + | 34.6235i | −0.386213 | + | 1.59199i | ||||
\(474\) | −0.673894 | + | 0.946352i | −0.0309530 | + | 0.0434674i | ||||
\(475\) | 47.0763 | − | 30.2541i | 2.16001 | − | 1.38815i | ||||
\(476\) | −3.80263 | − | 1.94585i | −0.174293 | − | 0.0891879i | ||||
\(477\) | 4.66052 | − | 0.670082i | 0.213391 | − | 0.0306810i | ||||
\(478\) | −0.210582 | + | 0.0201082i | −0.00963180 | + | 0.000919726i | ||||
\(479\) | −8.15722 | − | 6.41491i | −0.372713 | − | 0.293105i | 0.414179 | − | 0.910195i | \(-0.364069\pi\) |
−0.786892 | + | 0.617091i | \(0.788311\pi\) | |||||||
\(480\) | 3.24449 | + | 6.29342i | 0.148090 | + | 0.287254i | ||||
\(481\) | −12.4643 | + | 36.0134i | −0.568325 | + | 1.64207i | ||||
\(482\) | −0.0891229 | −0.00405944 | ||||||||
\(483\) | −12.6443 | + | 1.05893i | −0.575336 | + | 0.0481832i | ||||
\(484\) | 5.42805 | 0.246729 | ||||||||
\(485\) | −1.30674 | + | 3.77557i | −0.0593359 | + | 0.171440i | ||||
\(486\) | 0.0705626 | + | 0.136872i | 0.00320079 | + | 0.00620866i | ||||
\(487\) | 17.6255 | + | 13.8608i | 0.798686 | + | 0.628094i | 0.931786 | − | 0.363009i | \(-0.118250\pi\) |
−0.133099 | + | 0.991103i | \(0.542493\pi\) | |||||||
\(488\) | −1.90914 | + | 0.182301i | −0.0864228 | + | 0.00825237i | ||||
\(489\) | 17.1215 | − | 2.46171i | 0.774263 | − | 0.111322i | ||||
\(490\) | 3.31427 | + | 2.57406i | 0.149724 | + | 0.116284i | ||||
\(491\) | −28.8090 | + | 18.5144i | −1.30013 | + | 0.835545i | −0.993226 | − | 0.116195i | \(-0.962930\pi\) |
−0.306907 | + | 0.951740i | \(0.599294\pi\) | |||||||
\(492\) | −3.63230 | + | 5.10085i | −0.163757 | + | 0.229964i | ||||
\(493\) | −0.218841 | + | 0.902076i | −0.00985612 | + | 0.0406275i | ||||
\(494\) | −3.21598 | + | 1.11306i | −0.144694 | + | 0.0500789i | ||||
\(495\) | 2.73166 | − | 14.1732i | 0.122779 | − | 0.637037i | ||||
\(496\) | 7.92458 | + | 26.9886i | 0.355824 | + | 1.21183i | ||||
\(497\) | 10.2441 | + | 2.97431i | 0.459512 | + | 0.133416i | ||||
\(498\) | 0.505624 | + | 0.786766i | 0.0226576 | + | 0.0352558i | ||||
\(499\) | 0.812699 | + | 3.34999i | 0.0363814 | + | 0.149966i | 0.987105 | − | 0.160073i | \(-0.0511730\pi\) |
−0.950724 | + | 0.310039i | \(0.899658\pi\) | |||||||
\(500\) | −36.8262 | − | 14.7430i | −1.64692 | − | 0.659327i | ||||
\(501\) | −13.9613 | − | 19.6059i | −0.623745 | − | 0.875928i | ||||
\(502\) | −4.33163 | + | 1.73412i | −0.193330 | + | 0.0773976i | ||||
\(503\) | 23.2747 | + | 14.9577i | 1.03777 | + | 0.666933i | 0.944434 | − | 0.328702i | \(-0.106611\pi\) |
0.0933344 | + | 0.995635i | \(0.470247\pi\) | |||||||
\(504\) | 0.814253 | + | 1.40052i | 0.0362697 | + | 0.0623843i | ||||
\(505\) | − | 36.0662i | − | 1.60492i | ||||||
\(506\) | −1.55538 | − | 2.25349i | −0.0691452 | − | 0.100180i | ||||
\(507\) | 2.67264 | + | 1.54305i | 0.118696 | + | 0.0685293i | ||||
\(508\) | −27.0809 | + | 5.21941i | −1.20152 | + | 0.231574i | ||||
\(509\) | 7.62017 | + | 0.362994i | 0.337758 | + | 0.0160894i | 0.215776 | − | 0.976443i | \(-0.430772\pi\) |
0.121982 | + | 0.992532i | \(0.461075\pi\) | |||||||
\(510\) | −0.484763 | − | 0.0696984i | −0.0214657 | − | 0.00308630i | ||||
\(511\) | −4.06227 | + | 43.9470i | −0.179704 | + | 1.94410i | ||||
\(512\) | 1.67110 | + | 11.6227i | 0.0738527 | + | 0.513657i | ||||
\(513\) | 5.35479 | − | 1.29906i | 0.236420 | − | 0.0573548i | ||||
\(514\) | 2.38845 | − | 0.113776i | 0.105350 | − | 0.00501843i | ||||
\(515\) | −18.7112 | − | 1.78670i | −0.824512 | − | 0.0787313i | ||||
\(516\) | 13.7442 | + | 13.1051i | 0.605056 | + | 0.576920i | ||||
\(517\) | −4.85577 | + | 5.60386i | −0.213557 | + | 0.246458i | ||||
\(518\) | −1.42791 | + | 3.59827i | −0.0627388 | + | 0.158099i | ||||
\(519\) | 0.117441 | − | 0.0344837i | 0.00515507 | − | 0.00151367i | ||||
\(520\) | 7.78787 | + | 5.54572i | 0.341521 | + | 0.243196i | ||||
\(521\) | 1.63863 | + | 34.3991i | 0.0717897 | + | 1.50705i | 0.691590 | + | 0.722291i | \(0.256911\pi\) |
−0.619800 | + | 0.784760i | \(0.712786\pi\) | |||||||
\(522\) | 0.126633 | − | 0.120744i | 0.00554257 | − | 0.00528483i | ||||
\(523\) | −16.0404 | + | 12.6143i | −0.701398 | + | 0.551585i | −0.903925 | − | 0.427691i | \(-0.859327\pi\) |
0.202527 | + | 0.979277i | \(0.435085\pi\) | |||||||
\(524\) | −19.6392 | − | 8.96894i | −0.857944 | − | 0.391810i | ||||
\(525\) | −25.4184 | − | 8.71137i | −1.10935 | − | 0.380195i | ||||
\(526\) | 0.996718 | − | 1.55092i | 0.0434590 | − | 0.0676235i | ||||
\(527\) | −5.62815 | − | 1.94792i | −0.245166 | − | 0.0848529i | ||||
\(528\) | 7.15256 | − | 12.3886i | 0.311275 | − | 0.539145i | ||||
\(529\) | 8.15706 | − | 21.5049i | 0.354655 | − | 0.934997i | ||||
\(530\) | 2.44452 | − | 1.41134i | 0.106183 | − | 0.0613048i | ||||
\(531\) | −8.84139 | + | 7.66110i | −0.383683 | + | 0.332464i | ||||
\(532\) | 27.6193 | − | 8.20063i | 1.19745 | − | 0.355542i | ||||
\(533\) | −1.80858 | + | 12.5789i | −0.0783382 | + | 0.544854i | ||||
\(534\) | −0.247026 | − | 2.58698i | −0.0106899 | − | 0.111949i | ||||
\(535\) | −27.5562 | + | 68.8320i | −1.19136 | + | 2.97587i | ||||
\(536\) | −0.382143 | − | 0.400780i | −0.0165060 | − | 0.0173110i | ||||
\(537\) | 0.528548 | − | 1.02524i | 0.0228085 | − | 0.0442424i | ||||
\(538\) | 2.45716 | − | 1.12215i | 0.105936 | − | 0.0483792i | ||||
\(539\) | 2.31064 | − | 25.8504i | 0.0995262 | − | 1.11346i | ||||
\(540\) | −5.81457 | − | 5.03835i | −0.250219 | − | 0.216816i | ||||
\(541\) | 19.9026 | + | 3.83592i | 0.855681 | + | 0.164919i | 0.598183 | − | 0.801360i | \(-0.295890\pi\) |
0.257498 | + | 0.966279i | \(0.417102\pi\) | |||||||
\(542\) | 3.57023 | + | 0.866129i | 0.153355 | + | 0.0372034i | ||||
\(543\) | −1.73159 | + | 18.1340i | −0.0743095 | + | 0.778204i | ||||
\(544\) | −1.32064 | − | 0.680840i | −0.0566222 | − | 0.0291908i | ||||
\(545\) | 5.67602 | − | 19.3307i | 0.243134 | − | 0.828038i | ||||
\(546\) | 1.37733 | + | 0.879278i | 0.0589442 | + | 0.0376296i | ||||
\(547\) | 10.5714 | − | 23.1482i | 0.452003 | − | 0.989748i | −0.537235 | − | 0.843432i | \(-0.680531\pi\) |
0.989238 | − | 0.146315i | \(-0.0467414\pi\) | |||||||
\(548\) | −1.48735 | − | 3.71523i | −0.0635367 | − | 0.158707i | ||||
\(549\) | 2.78393 | − | 1.43522i | 0.118815 | − | 0.0612535i | ||||
\(550\) | −1.09735 | − | 5.69360i | −0.0467912 | − | 0.242776i | ||||
\(551\) | −3.13042 | − | 5.42205i | −0.133361 | − | 0.230987i | ||||
\(552\) | −2.92703 | + | 0.236215i | −0.124582 | + | 0.0100540i | ||||
\(553\) | 3.71826 | − | 19.6113i | 0.158116 | − | 0.833958i | ||||
\(554\) | −0.923403 | − | 1.06566i | −0.0392316 | − | 0.0452757i | ||||
\(555\) | 1.76010 | − | 36.9491i | 0.0747121 | − | 1.56840i | ||||
\(556\) | −12.7448 | + | 16.2064i | −0.540501 | + | 0.687303i | ||||
\(557\) | 21.7794 | − | 15.5090i | 0.922822 | − | 0.657138i | −0.0166147 | − | 0.999862i | \(-0.505289\pi\) |
0.939436 | + | 0.342724i | \(0.111349\pi\) | |||||||
\(558\) | 0.693969 | + | 0.882453i | 0.0293780 | + | 0.0373572i | ||||
\(559\) | 36.9793 | + | 10.8581i | 1.56406 | + | 0.459249i | ||||
\(560\) | −31.3123 | − | 24.4713i | −1.32319 | − | 1.03410i | ||||
\(561\) | 1.25825 | + | 2.75519i | 0.0531235 | + | 0.116324i | ||||
\(562\) | 1.31214 | − | 1.37613i | 0.0553491 | − | 0.0580484i | ||||
\(563\) | −1.27021 | − | 3.67002i | −0.0535328 | − | 0.154673i | 0.915065 | − | 0.403307i | \(-0.132139\pi\) |
−0.968597 | + | 0.248634i | \(0.920018\pi\) | |||||||
\(564\) | 1.29271 | + | 3.73503i | 0.0544328 | + | 0.157273i | ||||
\(565\) | 23.4292 | − | 24.5718i | 0.985672 | − | 1.03374i | ||||
\(566\) | −0.465243 | − | 1.01874i | −0.0195556 | − | 0.0428208i | ||||
\(567\) | −2.08464 | − | 1.62919i | −0.0875467 | − | 0.0684197i | ||||
\(568\) | 2.36872 | + | 0.695520i | 0.0993895 | + | 0.0291834i | ||||
\(569\) | −10.9703 | − | 13.9498i | −0.459898 | − | 0.584808i | 0.499694 | − | 0.866202i | \(-0.333446\pi\) |
−0.959592 | + | 0.281394i | \(0.909203\pi\) | |||||||
\(570\) | 2.69077 | − | 1.91609i | 0.112704 | − | 0.0802561i | ||||
\(571\) | −5.95076 | + | 7.56700i | −0.249031 | + | 0.316669i | −0.894457 | − | 0.447154i | \(-0.852438\pi\) |
0.645426 | + | 0.763823i | \(0.276680\pi\) | |||||||
\(572\) | 1.39835 | − | 29.3549i | 0.0584678 | − | 1.22739i | ||||
\(573\) | 6.13803 | + | 7.08367i | 0.256420 | + | 0.295924i | ||||
\(574\) | −0.240475 | + | 1.26834i | −0.0100372 | + | 0.0529395i | ||||
\(575\) | 34.1243 | − | 34.7529i | 1.42308 | − | 1.44930i | ||||
\(576\) | −3.71825 | − | 6.44019i | −0.154927 | − | 0.268341i | ||||
\(577\) | −1.52096 | − | 7.89146i | −0.0633182 | − | 0.328526i | 0.936433 | − | 0.350847i | \(-0.114106\pi\) |
−0.999751 | + | 0.0223214i | \(0.992894\pi\) | |||||||
\(578\) | −2.23548 | + | 1.15247i | −0.0929839 | + | 0.0479365i | ||||
\(579\) | −3.09252 | − | 7.72474i | −0.128521 | − | 0.321029i | ||||
\(580\) | −3.63157 | + | 7.95203i | −0.150793 | + | 0.330190i | ||||
\(581\) | −13.5438 | − | 8.64631i | −0.561893 | − | 0.358709i | ||||
\(582\) | −0.0445238 | + | 0.151634i | −0.00184557 | + | 0.00628544i | ||||
\(583\) | −15.5166 | − | 7.99937i | −0.642632 | − | 0.331300i | ||||
\(584\) | −0.970911 | + | 10.1678i | −0.0401766 | + | 0.420748i | ||||
\(585\) | −15.1739 | − | 3.68115i | −0.627363 | − | 0.152197i | ||||
\(586\) | −1.78823 | − | 0.344653i | −0.0738710 | − | 0.0142375i | ||||
\(587\) | 23.8420 | + | 20.6592i | 0.984065 | + | 0.852698i | 0.989093 | − | 0.147290i | \(-0.0470550\pi\) |
−0.00502793 | + | 0.999987i | \(0.501600\pi\) | |||||||
\(588\) | −11.3172 | − | 7.95617i | −0.466714 | − | 0.328107i | ||||
\(589\) | 36.5402 | − | 16.6874i | 1.50561 | − | 0.687591i | ||||
\(590\) | −3.21371 | + | 6.23373i | −0.132306 | + | 0.256639i | ||||
\(591\) | −3.85716 | − | 4.04528i | −0.158662 | − | 0.166400i | ||||
\(592\) | 13.6254 | − | 34.0346i | 0.560000 | − | 1.39881i | ||||
\(593\) | 1.58041 | + | 16.5508i | 0.0648997 | + | 0.679661i | 0.968121 | + | 0.250485i | \(0.0805900\pi\) |
−0.903221 | + | 0.429176i | \(0.858804\pi\) | |||||||
\(594\) | 0.0812535 | − | 0.565131i | 0.00333387 | − | 0.0231876i | ||||
\(595\) | 8.06642 | − | 2.39505i | 0.330691 | − | 0.0981876i | ||||
\(596\) | 11.8824 | − | 10.2962i | 0.486722 | − | 0.421747i | ||||
\(597\) | −16.1376 | + | 9.31705i | −0.660468 | + | 0.381321i | ||||
\(598\) | −2.51501 | + | 1.56464i | −0.102847 | + | 0.0639829i | ||||
\(599\) | 22.3275 | − | 38.6724i | 0.912277 | − | 1.58011i | 0.101437 | − | 0.994842i | \(-0.467656\pi\) |
0.810840 | − | 0.585268i | \(-0.199011\pi\) | |||||||
\(600\) | −5.87651 | − | 2.03388i | −0.239907 | − | 0.0830328i | ||||
\(601\) | 5.71001 | − | 8.88495i | 0.232916 | − | 0.362425i | −0.705046 | − | 0.709161i | \(-0.749074\pi\) |
0.937963 | + | 0.346737i | \(0.112710\pi\) | |||||||
\(602\) | 3.70357 | + | 1.26928i | 0.150946 | + | 0.0517320i | ||||
\(603\) | 0.822660 | + | 0.375696i | 0.0335013 | + | 0.0152995i | ||||
\(604\) | 21.6126 | − | 16.9963i | 0.879403 | − | 0.691570i | ||||
\(605\) | −7.73860 | + | 7.37874i | −0.314619 | + | 0.299988i | ||||
\(606\) | −0.0678808 | − | 1.42499i | −0.00275747 | − | 0.0578864i | ||||
\(607\) | 11.9251 | + | 8.49185i | 0.484026 | + | 0.344674i | 0.795878 | − | 0.605457i | \(-0.207010\pi\) |
−0.311852 | + | 0.950131i | \(0.600949\pi\) | |||||||
\(608\) | 9.61564 | − | 2.82341i | 0.389966 | − | 0.114504i | ||||
\(609\) | −1.10885 | + | 2.79425i | −0.0449329 | + | 0.113229i | ||||
\(610\) | 1.22962 | − | 1.41905i | 0.0497858 | − | 0.0574558i | ||||
\(611\) | 5.80519 | + | 5.53524i | 0.234853 | + | 0.223932i | ||||
\(612\) | 1.60719 | + | 0.153468i | 0.0649669 | + | 0.00620358i | ||||
\(613\) | −39.6611 | + | 1.88929i | −1.60189 | + | 0.0763077i | −0.829378 | − | 0.558687i | \(-0.811305\pi\) |
−0.772516 | + | 0.634995i | \(0.781002\pi\) | |||||||
\(614\) | 3.16631 | − | 0.768138i | 0.127782 | − | 0.0309995i | ||||
\(615\) | −1.75550 | − | 12.2098i | −0.0707887 | − | 0.492346i | ||||
\(616\) | 0.552855 | − | 5.98097i | 0.0222752 | − | 0.240980i | ||||
\(617\) | −12.2411 | − | 1.76001i | −0.492809 | − | 0.0708553i | −0.108570 | − | 0.994089i | \(-0.534627\pi\) |
−0.384239 | + | 0.923234i | \(0.625536\pi\) | |||||||
\(618\) | −0.742650 | − | 0.0353768i | −0.0298738 | − | 0.00142306i | ||||
\(619\) | 7.00139 | − | 1.34941i | 0.281410 | − | 0.0542372i | −0.0465934 | − | 0.998914i | \(-0.514837\pi\) |
0.328003 | + | 0.944677i | \(0.393624\pi\) | |||||||
\(620\) | −48.5753 | − | 28.0450i | −1.95083 | − | 1.12631i | ||||
\(621\) | 4.29449 | − | 2.13480i | 0.172332 | − | 0.0856665i | ||||
\(622\) | − | 2.62128i | − | 0.105104i | ||||||
\(623\) | 22.4417 | + | 38.6000i | 0.899108 | + | 1.54648i | ||||
\(624\) | −13.0181 | − | 8.36620i | −0.521140 | − | 0.334916i | ||||
\(625\) | 25.4016 | − | 10.1692i | 1.01606 | − | 0.406770i | ||||
\(626\) | 0.838372 | + | 1.17733i | 0.0335081 | + | 0.0470555i | ||||
\(627\) | −18.9661 | − | 7.59288i | −0.757433 | − | 0.303231i | ||||
\(628\) | −0.397143 | − | 1.63705i | −0.0158477 | − | 0.0653253i | ||||
\(629\) | 4.19666 | + | 6.53013i | 0.167332 | + | 0.260373i | ||||
\(630\) | −1.52321 | − | 0.442252i | −0.0606860 | − | 0.0176197i | ||||
\(631\) | 8.19377 | + | 27.9054i | 0.326189 | + | 1.11090i | 0.945465 | + | 0.325724i | \(0.105608\pi\) |
−0.619276 | + | 0.785173i | \(0.712574\pi\) | |||||||
\(632\) | 0.874253 | − | 4.53606i | 0.0347759 | − | 0.180435i | ||||
\(633\) | −3.75826 | + | 1.30075i | −0.149377 | + | 0.0517000i | ||||
\(634\) | −0.777970 | + | 3.20684i | −0.0308971 | + | 0.127360i | ||||
\(635\) | 31.5133 | − | 44.2542i | 1.25057 | − | 1.75617i | ||||
\(636\) | −7.82807 | + | 5.03080i | −0.310403 | + | 0.199484i | ||||
\(637\) | −27.8131 | − | 3.82727i | −1.10200 | − | 0.151642i | ||||
\(638\) | −0.642128 | + | 0.0923241i | −0.0254221 | + | 0.00365514i | ||||
\(639\) | −4.01356 | + | 0.383248i | −0.158774 | + | 0.0151611i | ||||
\(640\) | −14.6357 | − | 11.5096i | −0.578526 | − | 0.454958i | ||||
\(641\) | 5.80831 | + | 11.2665i | 0.229414 | + | 0.445002i | 0.975243 | − | 0.221136i | \(-0.0709765\pi\) |
−0.745829 | + | 0.666138i | \(0.767946\pi\) | |||||||
\(642\) | −0.959209 | + | 2.77145i | −0.0378570 | + | 0.109381i | ||||
\(643\) | 21.5344 | 0.849235 | 0.424618 | − | 0.905373i | \(-0.360409\pi\) | ||||
0.424618 | + | 0.905373i | \(0.360409\pi\) | |||||||
\(644\) | 21.8612 | − | 12.2844i | 0.861454 | − | 0.484072i | ||||
\(645\) | −37.4095 | −1.47300 | ||||||||
\(646\) | −0.226716 | + | 0.655052i | −0.00892001 | + | 0.0257727i | ||||
\(647\) | 18.5723 | + | 36.0253i | 0.730154 | + | 1.41630i | 0.902246 | + | 0.431221i | \(0.141917\pi\) |
−0.172092 | + | 0.985081i | \(0.555053\pi\) | |||||||
\(648\) | −0.481309 | − | 0.378506i | −0.0189076 | − | 0.0148691i | ||||
\(649\) | 43.1786 | − | 4.12306i | 1.69491 | − | 0.161844i | ||||
\(650\) | −6.20857 | + | 0.892658i | −0.243520 | + | 0.0350129i | ||||
\(651\) | −17.1708 | − | 8.78650i | −0.672977 | − | 0.344370i | ||||
\(652\) | −28.7583 | + | 18.4818i | −1.12626 | + | 0.723804i | ||||
\(653\) | 14.0406 | − | 19.7172i | 0.549450 | − | 0.771595i | −0.442697 | − | 0.896671i | \(-0.645978\pi\) |
0.992147 | + | 0.125077i | \(0.0399177\pi\) | |||||||
\(654\) | 0.187880 | − | 0.774451i | 0.00734668 | − | 0.0302834i | ||||
\(655\) | 40.1912 | − | 13.9103i | 1.57040 | − | 0.543521i | ||||
\(656\) | 2.31363 | − | 12.0043i | 0.0903321 | − | 0.468688i | ||||
\(657\) | −4.69964 | − | 16.0055i | −0.183350 | − | 0.624434i | ||||
\(658\) | 0.564064 | + | 0.588001i | 0.0219895 | + | 0.0229227i | ||||
\(659\) | 6.88251 | + | 10.7094i | 0.268104 | + | 0.417179i | 0.949036 | − | 0.315169i | \(-0.102061\pi\) |
−0.680931 | + | 0.732347i | \(0.738425\pi\) | |||||||
\(660\) | 6.72520 | + | 27.7217i | 0.261778 | + | 1.07906i | ||||
\(661\) | −22.3717 | − | 8.95627i | −0.870157 | − | 0.348358i | −0.106758 | − | 0.994285i | \(-0.534047\pi\) |
−0.763399 | + | 0.645927i | \(0.776471\pi\) | |||||||
\(662\) | −0.446255 | − | 0.626677i | −0.0173442 | − | 0.0243565i | ||||
\(663\) | 3.04182 | − | 1.21776i | 0.118135 | − | 0.0472940i | ||||
\(664\) | −3.12841 | − | 2.01051i | −0.121406 | − | 0.0780228i | ||||
\(665\) | −28.2283 | + | 49.2364i | −1.09465 | + | 1.90930i | ||||
\(666\) | − | 1.46319i | − | 0.0566975i | ||||||
\(667\) | −3.70214 | − | 3.99856i | −0.143348 | − | 0.154825i | ||||
\(668\) | 41.1942 | + | 23.7835i | 1.59385 | + | 0.920211i | ||||
\(669\) | 10.2479 | − | 1.97511i | 0.396205 | − | 0.0763623i | ||||
\(670\) | 0.541560 | + | 0.0257977i | 0.0209223 | + | 0.000996651i | ||||
\(671\) | −11.4945 | − | 1.65266i | −0.443741 | − | 0.0638004i | ||||
\(672\) | −3.92816 | − | 2.77936i | −0.151532 | − | 0.107216i | ||||
\(673\) | 1.12119 | + | 7.79807i | 0.0432188 | + | 0.300594i | 0.999954 | + | 0.00963212i | \(0.00306605\pi\) |
−0.956735 | + | 0.290961i | \(0.906025\pi\) | |||||||
\(674\) | 0.188427 | − | 0.0457119i | 0.00725794 | − | 0.00176076i | ||||
\(675\) | 10.1443 | − | 0.483233i | 0.390455 | − | 0.0185997i | ||||
\(676\) | −6.07140 | − | 0.579749i | −0.233515 | − | 0.0222980i | ||||
\(677\) | 13.3758 | + | 12.7538i | 0.514076 | + | 0.490170i | 0.902129 | − | 0.431467i | \(-0.142004\pi\) |
−0.388053 | + | 0.921637i | \(0.626852\pi\) | |||||||
\(678\) | 0.879451 | − | 1.01494i | 0.0337751 | − | 0.0389786i | ||||
\(679\) | −0.394551 | − | 2.68643i | −0.0151415 | − | 0.103096i | ||||
\(680\) | 1.86850 | − | 0.548640i | 0.0716536 | − | 0.0210394i | ||||
\(681\) | 5.08665 | + | 3.62218i | 0.194921 | + | 0.138802i | ||||
\(682\) | −0.198052 | − | 4.15762i | −0.00758380 | − | 0.159204i | ||||
\(683\) | 5.02792 | − | 4.79411i | 0.192388 | − | 0.183442i | −0.587762 | − | 0.809034i | \(-0.699991\pi\) |
0.780150 | + | 0.625592i | \(0.215143\pi\) | |||||||
\(684\) | −8.55978 | + | 6.73148i | −0.327291 | + | 0.257385i | ||||
\(685\) | 7.17086 | + | 3.27482i | 0.273985 | + | 0.125125i | ||||
\(686\) | −2.80519 | − | 0.514292i | −0.107103 | − | 0.0196357i | ||||
\(687\) | 0.639708 | − | 0.995406i | 0.0244064 | − | 0.0379771i | ||||
\(688\) | −35.0363 | − | 12.1262i | −1.33575 | − | 0.462306i | ||||
\(689\) | −9.44220 | + | 16.3544i | −0.359719 | + | 0.623052i | ||||
\(690\) | 1.91445 | − | 2.14497i | 0.0728818 | − | 0.0816577i | ||||
\(691\) | 0.756154 | − | 0.436566i | 0.0287655 | − | 0.0166077i | −0.485548 | − | 0.874210i | \(-0.661380\pi\) |
0.514314 | + | 0.857602i | \(0.328047\pi\) | |||||||
\(692\) | −0.182812 | + | 0.158407i | −0.00694946 | + | 0.00602174i | ||||
\(693\) | 2.79212 | + | 9.40373i | 0.106064 | + | 0.357218i | ||||
\(694\) | 0.569664 | − | 3.96210i | 0.0216241 | − | 0.150399i | ||||
\(695\) | −3.86058 | − | 40.4299i | −0.146440 | − | 1.53359i | ||||
\(696\) | −0.258579 | + | 0.645900i | −0.00980142 | + | 0.0244828i | ||||
\(697\) | 1.78628 | + | 1.87339i | 0.0676601 | + | 0.0709598i | ||||
\(698\) | −1.52106 | + | 2.95044i | −0.0575729 | + | 0.111676i | ||||
\(699\) | 7.15583 | − | 3.26796i | 0.270658 | − | 0.123605i | ||||
\(700\) | 52.8464 | − | 5.20763i | 1.99741 | − | 0.196830i | ||||
\(701\) | −24.3780 | − | 21.1237i | −0.920745 | − | 0.797830i | 0.0589631 | − | 0.998260i | \(-0.481221\pi\) |
−0.979708 | + | 0.200430i | \(0.935766\pi\) | |||||||
\(702\) | −0.606457 | − | 0.116885i | −0.0228892 | − | 0.00441154i | ||||
\(703\) | −50.8802 | − | 12.3434i | −1.91898 | − | 0.465540i | ||||
\(704\) | −2.62087 | + | 27.4470i | −0.0987777 | + | 1.03445i | ||||
\(705\) | −6.92027 | − | 3.56765i | −0.260632 | − | 0.134365i | ||||
\(706\) | −0.157112 | + | 0.535073i | −0.00591298 | + | 0.0201378i | ||||
\(707\) | 11.2974 | + | 21.7521i | 0.424883 | + | 0.818071i | ||||
\(708\) | 9.60450 | − | 21.0309i | 0.360959 | − | 0.790390i | ||||
\(709\) | −11.1112 | − | 27.7545i | −0.417291 | − | 1.04234i | −0.976921 | − | 0.213600i | \(-0.931481\pi\) |
0.559631 | − | 0.828742i | \(-0.310943\pi\) | |||||||
\(710\) | −2.14836 | + | 1.10755i | −0.0806263 | + | 0.0415658i | ||||
\(711\) | 1.42779 | + | 7.40809i | 0.0535464 | + | 0.277825i | ||||
\(712\) | 5.16667 | + | 8.94894i | 0.193629 | + | 0.335376i | ||||
\(713\) | 27.7970 | − | 21.2072i | 1.04100 | − | 0.794214i | ||||
\(714\) | 0.314201 | − | 0.109812i | 0.0117587 | − | 0.00410960i | ||||
\(715\) | 37.9107 | + | 43.7512i | 1.41778 | + | 1.63620i | ||||
\(716\) | −0.108467 | + | 2.27700i | −0.00405359 | + | 0.0850953i | ||||
\(717\) | −0.849177 | + | 1.07982i | −0.0317131 | + | 0.0403265i | ||||
\(718\) | 1.97954 | − | 1.40963i | 0.0738759 | − | 0.0526068i | ||||
\(719\) | −25.0491 | − | 31.8525i | −0.934173 | − | 1.18790i | −0.981969 | − | 0.189040i | \(-0.939462\pi\) |
0.0477963 | − | 0.998857i | \(-0.484780\pi\) | |||||||
\(720\) | 14.4120 | + | 4.23176i | 0.537105 | + | 0.157708i | ||||
\(721\) | 11.8447 | − | 4.78352i | 0.441118 | − | 0.178148i | ||||
\(722\) | −0.726787 | − | 1.59144i | −0.0270482 | − | 0.0592273i | ||||
\(723\) | −0.399387 | + | 0.418865i | −0.0148534 | + | 0.0155778i | ||||
\(724\) | −11.7748 | − | 34.0210i | −0.437606 | − | 1.26438i | ||||
\(725\) | −3.77420 | − | 10.9048i | −0.140170 | − | 0.404996i | ||||
\(726\) | −0.291868 | + | 0.306103i | −0.0108322 | + | 0.0113605i | ||||
\(727\) | 3.39813 | + | 7.44086i | 0.126030 | + | 0.275966i | 0.962120 | − | 0.272625i | \(-0.0878917\pi\) |
−0.836091 | + | 0.548591i | \(0.815164\pi\) | |||||||
\(728\) | −6.43414 | − | 0.905227i | −0.238465 | − | 0.0335499i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −6.18175 | − | 7.86074i | −0.228797 | − | 0.290939i | ||||
\(731\) | 6.39458 | − | 4.55356i | 0.236512 | − | 0.168419i | ||||
\(732\) | −3.82637 | + | 4.86563i | −0.141427 | + | 0.179839i | ||||
\(733\) | −0.880335 | + | 18.4805i | −0.0325159 | + | 0.682593i | 0.922493 | + | 0.386015i | \(0.126149\pi\) |
−0.955009 | + | 0.296578i | \(0.904154\pi\) | |||||||
\(734\) | −0.474413 | − | 0.547501i | −0.0175109 | − | 0.0202086i | ||||
\(735\) | 26.9500 | − | 4.04144i | 0.994065 | − | 0.149071i | ||||
\(736\) | 7.61706 | − | 4.24994i | 0.280769 | − | 0.156655i | ||||
\(737\) | −1.67657 | − | 2.90391i | −0.0617573 | − | 0.106967i | ||||
\(738\) | −0.0923410 | − | 0.479111i | −0.00339912 | − | 0.0176363i | ||||
\(739\) | −30.1535 | + | 15.5452i | −1.10922 | + | 0.571840i | −0.912688 | − | 0.408658i | \(-0.865997\pi\) |
−0.196528 | + | 0.980498i | \(0.562967\pi\) | |||||||
\(740\) | 27.1703 | + | 67.8681i | 0.998800 | + | 2.49488i | ||||
\(741\) | −9.18054 | + | 20.1026i | −0.337255 | + | 0.738487i | ||||
\(742\) | −1.03224 | + | 1.61693i | −0.0378946 | + | 0.0593592i | ||||
\(743\) | 4.05914 | − | 13.8242i | 0.148916 | − | 0.507160i | −0.850920 | − | 0.525295i | \(-0.823955\pi\) |
0.999836 | + | 0.0181356i | \(0.00577304\pi\) | |||||||
\(744\) | −3.96770 | − | 2.04549i | −0.145463 | − | 0.0749914i | ||||
\(745\) | −2.94405 | + | 30.8315i | −0.107862 | + | 1.12958i | ||||
\(746\) | 3.51011 | + | 0.851543i | 0.128514 | + | 0.0311772i | ||||
\(747\) | 5.96354 | + | 1.14938i | 0.218195 | + | 0.0420536i | ||||
\(748\) | −4.52391 | − | 3.91999i | −0.165411 | − | 0.143329i | ||||
\(749\) | −4.94147 | − | 50.1454i | −0.180557 | − | 1.83227i | ||||
\(750\) | 2.81156 | − | 1.28400i | 0.102664 | − | 0.0468849i | ||||
\(751\) | −5.53963 | + | 10.7454i | −0.202144 | + | 0.392105i | −0.968016 | − | 0.250888i | \(-0.919277\pi\) |
0.765872 | + | 0.642993i | \(0.222308\pi\) | |||||||
\(752\) | −5.32482 | − | 5.58451i | −0.194176 | − | 0.203646i | ||||
\(753\) | −11.2612 | + | 28.1291i | −0.410381 | + | 1.02508i | ||||
\(754\) | 0.0667071 | + | 0.698589i | 0.00242933 | + | 0.0254411i | ||||
\(755\) | −7.70805 | + | 53.6107i | −0.280525 | + | 1.95109i | ||||
\(756\) | 5.08508 | + | 1.21735i | 0.184943 | + | 0.0442745i | ||||
\(757\) | 33.0046 | − | 28.5986i | 1.19957 | − | 1.03943i | 0.201369 | − | 0.979516i | \(-0.435461\pi\) |
0.998203 | − | 0.0599194i | \(-0.0190844\pi\) | |||||||
\(758\) | 0.974559 | − | 0.562662i | 0.0353976 | − | 0.0204368i | ||||
\(759\) | −17.5612 | − | 2.78849i | −0.637431 | − | 0.101216i | ||||
\(760\) | −6.56739 | + | 11.3750i | −0.238224 | + | 0.412616i | ||||
\(761\) | −43.4455 | − | 15.0366i | −1.57490 | − | 0.545078i | −0.606630 | − | 0.794985i | \(-0.707479\pi\) |
−0.968270 | + | 0.249907i | \(0.919600\pi\) | |||||||
\(762\) | 1.16181 | − | 1.80782i | 0.0420881 | − | 0.0654903i | ||||
\(763\) | 2.63189 | + | 13.4366i | 0.0952809 | + | 0.486439i | ||||
\(764\) | −16.8498 | − | 7.69506i | −0.609606 | − | 0.278398i | ||||
\(765\) | −2.49994 | + | 1.96598i | −0.0903856 | + | 0.0710800i | ||||
\(766\) | −2.37302 | + | 2.26267i | −0.0857406 | + | 0.0817535i | ||||
\(767\) | −2.23259 | − | 46.8679i | −0.0806143 | − | 1.69230i | ||||
\(768\) | 11.5153 | + | 8.19997i | 0.415521 | + | 0.295891i | ||||
\(769\) | −10.2853 | + | 3.02004i | −0.370898 | + | 0.108906i | −0.461869 | − | 0.886948i | \(-0.652821\pi\) |
0.0909711 | + | 0.995854i | \(0.471003\pi\) | |||||||
\(770\) | 3.64919 | + | 4.61154i | 0.131508 | + | 0.166188i | ||||
\(771\) | 10.1686 | − | 11.7352i | 0.366214 | − | 0.422633i | ||||
\(772\) | 11.9013 | + | 11.3478i | 0.428335 | + | 0.408417i | ||||
\(773\) | −41.3786 | − | 3.95117i | −1.48828 | − | 0.142114i | −0.681003 | − | 0.732281i | \(-0.738456\pi\) |
−0.807281 | + | 0.590167i | \(0.799062\pi\) | |||||||
\(774\) | −1.47807 | + | 0.0704090i | −0.0531280 | + | 0.00253080i | ||||
\(775\) | 71.9519 | − | 17.4553i | 2.58459 | − | 0.627014i | ||||
\(776\) | −0.0894300 | − | 0.621999i | −0.00321035 | − | 0.0223285i | ||||
\(777\) | 10.5124 | + | 22.8359i | 0.377132 | + | 0.819234i | ||||
\(778\) | 4.56319 | + | 0.656087i | 0.163598 | + | 0.0235219i | ||||
\(779\) | −17.4393 | − | 0.830738i | −0.624829 | − | 0.0297643i | ||||
\(780\) | 30.3002 | − | 5.83988i | 1.08492 | − | 0.209101i | ||||
\(781\) | 12.9458 | + | 7.47426i | 0.463237 | + | 0.267450i | ||||
\(782\) | −0.0661549 | + | 0.599681i | −0.00236570 | + | 0.0214446i | ||||
\(783\) | − | 1.13625i | − | 0.0406061i | ||||||
\(784\) | 26.5504 | + | 4.95071i | 0.948227 | + | 0.176811i | ||||
\(785\) | 2.79155 | + | 1.79402i | 0.0996347 | + | 0.0640314i | ||||
\(786\) | 1.56179 | − | 0.625248i | 0.0557073 | − | 0.0223019i | ||||
\(787\) | 17.4317 | + | 24.4795i | 0.621375 | + | 0.872599i | 0.998566 | − | 0.0535368i | \(-0.0170495\pi\) |
−0.377191 | + | 0.926135i | \(0.623110\pi\) | |||||||
\(788\) | 10.2551 | + | 4.10552i | 0.365322 | + | 0.146253i | ||||
\(789\) | −2.82252 | − | 11.6346i | −0.100484 | − | 0.414202i | ||||
\(790\) | 2.44523 | + | 3.80485i | 0.0869973 | + | 0.135370i | ||||
\(791\) | −6.43359 | + | 22.1586i | −0.228752 | + | 0.787870i | ||||
\(792\) | 0.639598 | + | 2.17827i | 0.0227271 | + | 0.0774014i | ||||
\(793\) | −2.37739 | + | 12.3351i | −0.0844237 | + | 0.438032i | ||||
\(794\) | −3.15012 | + | 1.09027i | −0.111794 | + | 0.0386921i | ||||
\(795\) | 4.32151 | − | 17.8135i | 0.153268 | − | 0.631780i | ||||
\(796\) | 21.3614 | − | 29.9978i | 0.757133 | − | 1.06324i | ||||
\(797\) | −1.68003 | + | 1.07969i | −0.0595097 | + | 0.0382446i | −0.570057 | − | 0.821605i | \(-0.693079\pi\) |
0.510548 | + | 0.859849i | \(0.329443\pi\) | |||||||
\(798\) | −1.02265 | + | 1.99848i | −0.0362013 | + | 0.0707455i | ||||
\(799\) | 1.61718 | − | 0.232515i | 0.0572116 | − | 0.00822579i | ||||
\(800\) | 18.3874 | − | 1.75578i | 0.650092 | − | 0.0620763i | ||||
\(801\) | −13.2654 | − | 10.4320i | −0.468710 | − | 0.368598i | ||||
\(802\) | 1.94050 | + | 3.76405i | 0.0685215 | + | 0.132913i | ||||
\(803\) | −20.2285 | + | 58.4463i | −0.713847 | + | 2.06252i | ||||
\(804\) | −1.78733 | −0.0630342 | ||||||||
\(805\) | −14.4679 | + | 47.2310i | −0.509925 | + | 1.66467i | ||||
\(806\) | −4.50262 | −0.158598 | ||||||||
\(807\) | 5.73735 | − | 16.5770i | 0.201964 | − | 0.583537i | ||||
\(808\) | 2.59934 | + | 5.04202i | 0.0914445 | + | 0.177378i | ||||
\(809\) | −12.9658 | − | 10.1965i | −0.455855 | − | 0.358488i | 0.363674 | − | 0.931526i | \(-0.381522\pi\) |
−0.819529 | + | 0.573038i | \(0.805765\pi\) | |||||||
\(810\) | 0.596779 | − | 0.0569854i | 0.0209687 | − | 0.00200226i | ||||
\(811\) | 29.0820 | − | 4.18136i | 1.02121 | − | 0.146827i | 0.388686 | − | 0.921370i | \(-0.372929\pi\) |
0.632521 | + | 0.774543i | \(0.282020\pi\) | |||||||
\(812\) | −0.300648 | − | 5.93355i | −0.0105507 | − | 0.208227i | ||||
\(813\) | 20.0700 | − | 12.8982i | 0.703884 | − | 0.452359i | ||||
\(814\) | −3.14680 | + | 4.41906i | −0.110295 | + | 0.154888i | ||||
\(815\) | 15.8761 | − | 65.4422i | 0.556115 | − | 2.29234i | ||||
\(816\) | −2.97862 | + | 1.03091i | −0.104273 | + | 0.0360891i | ||||
\(817\) | −10.0205 | + | 51.9915i | −0.350574 | + | 1.81895i | ||||
\(818\) | −0.562361 | − | 1.91523i | −0.0196625 | − | 0.0669643i | ||||
\(819\) | 10.3047 | − | 2.53293i | 0.360076 | − | 0.0885079i | ||||
\(820\) | 13.1798 | + | 20.5082i | 0.460260 | + | 0.716178i | ||||
\(821\) | −5.78923 | − | 23.8635i | −0.202046 | − | 0.832843i | −0.979095 | − | 0.203403i | \(-0.934800\pi\) |
0.777050 | − | 0.629439i | \(-0.216715\pi\) | |||||||
\(822\) | 0.289488 | + | 0.115894i | 0.0100971 | + | 0.00404225i | ||||
\(823\) | −26.4515 | − | 37.1460i | −0.922042 | − | 1.29483i | −0.955379 | − | 0.295383i | \(-0.904553\pi\) |
0.0333366 | − | 0.999444i | \(-0.489387\pi\) | |||||||
\(824\) | 2.74457 | − | 1.09876i | 0.0956116 | − | 0.0382771i | ||||
\(825\) | −31.6766 | − | 20.3573i | −1.10284 | − | 0.708752i | ||||
\(826\) | −0.0144225 | − | 4.76633i | −0.000501822 | − | 0.165842i | ||||
\(827\) | − | 6.25377i | − | 0.217465i | −0.994071 | − | 0.108732i | \(-0.965321\pi\) | ||
0.994071 | − | 0.108732i | \(-0.0346792\pi\) | |||||||
\(828\) | −5.96755 | + | 7.36340i | −0.207387 | + | 0.255896i | ||||
\(829\) | −20.8436 | − | 12.0341i | −0.723930 | − | 0.417961i | 0.0922677 | − | 0.995734i | \(-0.470588\pi\) |
−0.816197 | + | 0.577773i | \(0.803922\pi\) | |||||||
\(830\) | 3.57510 | − | 0.689045i | 0.124094 | − | 0.0239171i | ||||
\(831\) | −9.14651 | − | 0.435702i | −0.317289 | − | 0.0151143i | ||||
\(832\) | 29.5223 | + | 4.24467i | 1.02350 | + | 0.147157i | ||||
\(833\) | −4.11476 | + | 3.97123i | −0.142568 | + | 0.137595i | ||||
\(834\) | −0.228628 | − | 1.59014i | −0.00791672 | − | 0.0550620i | ||||
\(835\) | −91.0599 | + | 22.0909i | −3.15126 | + | 0.764487i | ||||
\(836\) | 40.3288 | − | 1.92110i | 1.39480 | − | 0.0664426i | ||||
\(837\) | 7.25729 | + | 0.692987i | 0.250848 | + | 0.0239531i | ||||
\(838\) | −1.93010 | − | 1.84034i | −0.0666741 | − | 0.0635736i | ||||
\(839\) | 8.98362 | − | 10.3676i | 0.310149 | − | 0.357931i | −0.579179 | − | 0.815200i | \(-0.696627\pi\) |
0.889328 | + | 0.457269i | \(0.151172\pi\) | |||||||
\(840\) | 6.23989 | − | 0.916441i | 0.215297 | − | 0.0316202i | ||||
\(841\) | 26.5865 | − | 7.80651i | 0.916777 | − | 0.269190i | ||||
\(842\) | 3.55798 | + | 2.53363i | 0.122616 | + | 0.0873146i | ||||
\(843\) | −0.587526 | − | 12.3337i | −0.0202355 | − | 0.424795i | ||||
\(844\) | 5.68831 | − | 5.42379i | 0.195800 | − | 0.186695i | ||||
\(845\) | 9.44390 | − | 7.42677i | 0.324880 | − | 0.255489i | ||||
\(846\) | −0.280138 | − | 0.127935i | −0.00963135 | − | 0.00439849i | ||||
\(847\) | 2.35594 | − | 6.87428i | 0.0809512 | − | 0.236203i | ||||
\(848\) | 9.82157 | − | 15.2827i | 0.337274 | − | 0.524809i | ||||
\(849\) | −6.87282 | − | 2.37871i | −0.235875 | − | 0.0816370i | ||||
\(850\) | −0.638805 | + | 1.10644i | −0.0219108 | + | 0.0379506i | ||||
\(851\) | −45.5642 | − | 0.668602i | −1.56192 | − | 0.0229194i | ||||
\(852\) | 6.90051 | − | 3.98401i | 0.236408 | − | 0.136490i | ||||
\(853\) | 12.4330 | − | 10.7733i | 0.425698 | − | 0.368869i | −0.415503 | − | 0.909592i | \(-0.636394\pi\) |
0.841201 | + | 0.540722i | \(0.181849\pi\) | |||||||
\(854\) | −0.297095 | + | 1.24102i | −0.0101664 | + | 0.0424669i | ||||
\(855\) | 3.05281 | − | 21.2328i | 0.104404 | − | 0.726146i | ||||
\(856\) | −1.10849 | − | 11.6087i | −0.0378875 | − | 0.396776i | ||||
\(857\) | 6.85450 | − | 17.1217i | 0.234145 | − | 0.584866i | −0.764035 | − | 0.645175i | \(-0.776784\pi\) |
0.998180 | + | 0.0603089i | \(0.0192086\pi\) | |||||||
\(858\) | 1.58022 | + | 1.65728i | 0.0539477 | + | 0.0565787i | ||||
\(859\) | 18.8667 | − | 36.5963i | 0.643724 | − | 1.24865i | −0.310789 | − | 0.950479i | \(-0.600593\pi\) |
0.954513 | − | 0.298171i | \(-0.0963764\pi\) | |||||||
\(860\) | 67.2507 | − | 30.7124i | 2.29323 | − | 1.04728i | ||||
\(861\) | 4.88338 | + | 6.81402i | 0.166425 | + | 0.232221i | ||||
\(862\) | 3.99860 | + | 3.46481i | 0.136193 | + | 0.118012i | ||||
\(863\) | −32.8642 | − | 6.33406i | −1.11871 | − | 0.215614i | −0.403812 | − | 0.914842i | \(-0.632315\pi\) |
−0.714899 | + | 0.699228i | \(0.753527\pi\) | |||||||
\(864\) | 1.76749 | + | 0.428790i | 0.0601314 | + | 0.0145877i | ||||
\(865\) | 0.0452945 | − | 0.474346i | 0.00154006 | − | 0.0161282i | ||||
\(866\) | 1.27735 | + | 0.658519i | 0.0434061 | + | 0.0223774i | ||||
\(867\) | −4.60143 | + | 15.6710i | −0.156273 | + | 0.532216i | ||||
\(868\) | 38.0814 | + | 1.69856i | 1.29257 | + | 0.0576530i | ||||
\(869\) | 11.6200 | − | 25.4442i | 0.394181 | − | 0.863137i | ||||
\(870\) | −0.253166 | − | 0.632378i | −0.00858313 | − | 0.0214396i | ||||
\(871\) | −3.22405 | + | 1.66211i | −0.109243 | + | 0.0563185i | ||||
\(872\) | 0.599692 | + | 3.11150i | 0.0203081 | + | 0.105369i | ||||
\(873\) | 0.513134 | + | 0.888774i | 0.0173669 | + | 0.0300804i | ||||
\(874\) | −2.46827 | − | 3.23524i | −0.0834904 | − | 0.109434i | ||||
\(875\) | −34.6548 | + | 40.2392i | −1.17155 | + | 1.36033i | ||||
\(876\) | 21.5887 | + | 24.9147i | 0.729414 | + | 0.841789i | ||||
\(877\) | 1.23224 | − | 25.8679i | 0.0416098 | − | 0.873498i | −0.877519 | − | 0.479541i | \(-0.840803\pi\) |
0.919129 | − | 0.393956i | \(-0.128894\pi\) | |||||||
\(878\) | −1.26491 | + | 1.60846i | −0.0426886 | + | 0.0542830i | ||||
\(879\) | −9.63341 | + | 6.85992i | −0.324927 | + | 0.231379i | ||||
\(880\) | −34.4256 | − | 43.7757i | −1.16049 | − | 1.47568i | ||||
\(881\) | −35.9745 | − | 10.5631i | −1.21201 | − | 0.355878i | −0.387577 | − | 0.921837i | \(-0.626688\pi\) |
−0.824433 | + | 0.565959i | \(0.808506\pi\) | |||||||
\(882\) | 1.05720 | − | 0.210402i | 0.0355978 | − | 0.00708462i | ||||
\(883\) | 0.194220 | + | 0.425284i | 0.00653604 | + | 0.0143119i | 0.912872 | − | 0.408246i | \(-0.133860\pi\) |
−0.906336 | + | 0.422558i | \(0.861132\pi\) | |||||||
\(884\) | −4.46851 | + | 4.68644i | −0.150292 | + | 0.157622i | ||||
\(885\) | 14.8960 | + | 43.0392i | 0.500724 | + | 1.44675i | ||||
\(886\) | 1.79914 | + | 5.19828i | 0.0604433 | + | 0.174640i | ||||
\(887\) | −0.164339 | + | 0.172354i | −0.00551798 | + | 0.00578709i | −0.726487 | − | 0.687180i | \(-0.758848\pi\) |
0.720969 | + | 0.692967i | \(0.243697\pi\) | |||||||
\(888\) | 2.41691 | + | 5.29230i | 0.0811062 | + | 0.177598i | ||||
\(889\) | −5.14390 | + | 36.5617i | −0.172521 | + | 1.22624i | ||||
\(890\) | −9.70722 | − | 2.85030i | −0.325387 | − | 0.0955421i | ||||
\(891\) | −2.29191 | − | 2.91440i | −0.0767819 | − | 0.0976361i | ||||
\(892\) | −16.8010 | + | 11.9639i | −0.562539 | + | 0.400582i | ||||
\(893\) | −6.81197 | + | 8.66213i | −0.227954 | + | 0.289867i | ||||
\(894\) | −0.0582925 | + | 1.22371i | −0.00194959 | + | 0.0409270i | ||||
\(895\) | −2.94065 | − | 3.39369i | −0.0982950 | − | 0.113439i | ||||
\(896\) | 12.4323 | + | 2.35713i | 0.415334 | + | 0.0787463i | ||||
\(897\) | −3.91695 | + | 18.8318i | −0.130783 | + | 0.628776i | ||||
\(898\) | 1.32887 | + | 2.30168i | 0.0443451 | + | 0.0768080i | ||||
\(899\) | −1.56768 | − | 8.13388i | −0.0522850 | − | 0.271280i | ||||
\(900\) | −17.8396 | + | 9.19698i | −0.594655 | + | 0.306566i | ||||
\(901\) | 1.42960 | + | 3.57097i | 0.0476270 | + | 0.118966i | ||||
\(902\) | −0.751511 | + | 1.64558i | −0.0250226 | + | 0.0547918i | ||||
\(903\) | 22.5622 | − | 11.7182i | 0.750824 | − | 0.389957i | ||||
\(904\) | −1.50445 | + | 5.12368i | −0.0500372 | + | 0.170411i | ||||
\(905\) | 63.0341 | + | 32.4963i | 2.09532 | + | 1.08022i | ||||
\(906\) | −0.203647 | + | 2.13269i | −0.00676573 | + | 0.0708540i | ||||
\(907\) | 7.89233 | + | 1.91466i | 0.262060 | + | 0.0635752i | 0.364636 | − | 0.931150i | \(-0.381193\pi\) |
−0.102576 | + | 0.994725i | \(0.532708\pi\) | |||||||
\(908\) | −12.1180 | − | 2.33555i | −0.402149 | − | 0.0775079i | ||||
\(909\) | −7.00146 | − | 6.06680i | −0.232224 | − | 0.201223i | ||||
\(910\) | 5.17073 | − | 3.70569i | 0.171408 | − | 0.122842i | ||||
\(911\) | 16.0661 | − | 7.33713i | 0.532293 | − | 0.243090i | −0.131089 | − | 0.991371i | \(-0.541848\pi\) |
0.663383 | + | 0.748280i | \(0.269120\pi\) | |||||||
\(912\) | 9.74170 | − | 18.8963i | 0.322580 | − | 0.625718i | ||||
\(913\) | −15.5389 | − | 16.2967i | −0.514263 | − | 0.539343i | ||||
\(914\) | 1.40340 | − | 3.50553i | 0.0464204 | − | 0.115953i | ||||
\(915\) | −1.15906 | − | 12.1382i | −0.0383174 | − | 0.401278i | ||||
\(916\) | −0.332792 | + | 2.31462i | −0.0109958 | + | 0.0764773i | ||||
\(917\) | −19.8827 | + | 20.9791i | −0.656583 | + | 0.692790i | ||||
\(918\) | −0.0950739 | + | 0.0823820i | −0.00313790 | + | 0.00271901i | ||||
\(919\) | −14.7957 | + | 8.54231i | −0.488066 | + | 0.281785i | −0.723772 | − | 0.690040i | \(-0.757593\pi\) |
0.235706 | + | 0.971824i | \(0.424260\pi\) | |||||||
\(920\) | −3.38139 | + | 10.9206i | −0.111481 | + | 0.360041i | ||||
\(921\) | 10.5790 | − | 18.3234i | 0.348591 | − | 0.603778i | ||||
\(922\) | 2.58889 | + | 0.896022i | 0.0852604 | + | 0.0295089i | ||||
\(923\) | 8.74248 | − | 13.6036i | 0.287762 | − | 0.447767i | ||||
\(924\) | −12.7396 | − | 14.6128i | −0.419104 | − | 0.480724i | ||||
\(925\) | −87.7782 | − | 40.0870i | −2.88613 | − | 1.31805i | ||||
\(926\) | −2.55559 | + | 2.00974i | −0.0839819 | + | 0.0660441i | ||||
\(927\) | −3.49431 | + | 3.33181i | −0.114768 | + | 0.109431i | ||||
\(928\) | −0.0983310 | − | 2.06422i | −0.00322787 | − | 0.0677614i | ||||
\(929\) | −17.6901 | − | 12.5971i | −0.580394 | − | 0.413297i | 0.251802 | − | 0.967779i | \(-0.418977\pi\) |
−0.832196 | + | 0.554482i | \(0.812916\pi\) | |||||||
\(930\) | 4.19345 | − | 1.23131i | 0.137509 | − | 0.0403762i | ||||
\(931\) | 1.60208 | − | 38.5375i | 0.0525061 | − | 1.26302i | ||||
\(932\) | −10.1811 | + | 11.7496i | −0.333492 | + | 0.384870i | ||||
\(933\) | −12.3196 | − | 11.7467i | −0.403326 | − | 0.384571i | ||||
\(934\) | −0.366790 | − | 0.0350242i | −0.0120017 | − | 0.00114603i | ||||
\(935\) | 11.7783 | − | 0.561071i | 0.385192 | − | 0.0183490i | ||||
\(936\) | 2.38660 | − | 0.578983i | 0.0780085 | − | 0.0189247i | ||||
\(937\) | 1.79375 | + | 12.4758i | 0.0585991 | + | 0.407566i | 0.997917 | + | 0.0645168i | \(0.0205506\pi\) |
−0.939318 | + | 0.343049i | \(0.888540\pi\) | |||||||
\(938\) | −0.334704 | + | 0.154080i | −0.0109285 | + | 0.00503089i | ||||
\(939\) | 9.29027 | + | 1.33574i | 0.303176 | + | 0.0435902i | ||||
\(940\) | 15.3695 | + | 0.732139i | 0.501298 | + | 0.0238797i | ||||
\(941\) | −17.7294 | + | 3.41707i | −0.577963 | + | 0.111393i | −0.469852 | − | 0.882745i | \(-0.655693\pi\) |
−0.108112 | + | 0.994139i | \(0.534480\pi\) | |||||||
\(942\) | 0.113672 | + | 0.0656287i | 0.00370364 | + | 0.00213830i | ||||
\(943\) | −14.9618 | + | 2.65660i | −0.487225 | + | 0.0865107i | ||||
\(944\) | 45.1374i | 1.46910i | ||||||||
\(945\) | −8.90447 | + | 5.17698i | −0.289662 | + | 0.168407i | ||||
\(946\) | 4.61541 | + | 2.96615i | 0.150060 | + | 0.0964377i | ||||
\(947\) | −42.2342 | + | 16.9080i | −1.37243 | + | 0.549437i | −0.936539 | − | 0.350563i | \(-0.885990\pi\) |
−0.435889 | + | 0.900001i | \(0.643566\pi\) | |||||||
\(948\) | −8.64862 | − | 12.1453i | −0.280894 | − | 0.394461i | ||||
\(949\) | 62.1116 | + | 24.8657i | 2.01623 | + | 0.807176i | ||||
\(950\) | −2.03160 | − | 8.37437i | −0.0659138 | − | 0.271700i | ||||
\(951\) | 11.5853 | + | 18.0271i | 0.375681 | + | 0.584570i | ||||
\(952\) | −0.955063 | + | 0.916184i | −0.0309538 | + | 0.0296937i | ||||
\(953\) | −16.3832 | − | 55.7961i | −0.530704 | − | 1.80741i | −0.587753 | − | 0.809040i | \(-0.699987\pi\) |
0.0570490 | − | 0.998371i | \(-0.481831\pi\) | |||||||
\(954\) | 0.137218 | − | 0.711955i | 0.00444260 | − | 0.0230504i | ||||
\(955\) | 34.4828 | − | 11.9346i | 1.11584 | − | 0.386195i | ||||
\(956\) | 0.640053 | − | 2.63833i | 0.0207008 | − | 0.0853298i | ||||
\(957\) | −2.44366 | + | 3.43164i | −0.0789923 | + | 0.110929i | ||||
\(958\) | −1.34435 | + | 0.863960i | −0.0434339 | + | 0.0279133i | ||||
\(959\) | −5.35067 | + | 0.271114i | −0.172782 | + | 0.00875471i | ||||
\(960\) | −28.6559 | + | 4.12010i | −0.924867 | + | 0.132976i | ||||
\(961\) | 22.0481 | − | 2.10534i | 0.711230 | − | 0.0679142i | ||||
\(962\) | 4.61294 | + | 3.62766i | 0.148727 | + | 0.116960i | ||||
\(963\) | 8.72692 | + | 16.9279i | 0.281221 | + | 0.545493i | ||||
\(964\) | 0.374096 | − | 1.08088i | 0.0120488 | − | 0.0348128i | ||||
\(965\) | −32.3932 | −1.04277 | ||||||||
\(966\) | −0.482739 | + | 1.89335i | −0.0155319 | + | 0.0609176i | ||||
\(967\) | −36.0131 | −1.15810 | −0.579051 | − | 0.815291i | \(-0.696577\pi\) | ||||
−0.579051 | + | 0.815291i | \(0.696577\pi\) | |||||||
\(968\) | 0.550052 | − | 1.58927i | 0.0176793 | − | 0.0510811i | ||||
\(969\) | 2.06267 | + | 4.00102i | 0.0662624 | + | 0.128531i | ||||
\(970\) | 0.483612 | + | 0.380316i | 0.0155278 | + | 0.0122112i | ||||
\(971\) | 20.0309 | − | 1.91272i | 0.642823 | − | 0.0613821i | 0.231446 | − | 0.972848i | \(-0.425654\pi\) |
0.411376 | + | 0.911466i | \(0.365048\pi\) | |||||||
\(972\) | −1.95617 | + | 0.281255i | −0.0627442 | + | 0.00902126i | ||||
\(973\) | 14.9927 | + | 23.1746i | 0.480644 | + | 0.742944i | ||||
\(974\) | 2.90476 | − | 1.86678i | 0.0930745 | − | 0.0598154i | ||||
\(975\) | −23.6271 | + | 33.1796i | −0.756673 | + | 1.06260i | ||||
\(976\) | 2.84904 | − | 11.7439i | 0.0911957 | − | 0.375914i | ||||
\(977\) | 6.53760 | − | 2.26268i | 0.209156 | − | 0.0723897i | −0.220481 | − | 0.975391i | \(-0.570763\pi\) |
0.429637 | + | 0.903002i | \(0.358641\pi\) | |||||||
\(978\) | 0.504103 | − | 2.61553i | 0.0161194 | − | 0.0836356i | ||||
\(979\) | 17.6280 | + | 60.0355i | 0.563393 | + | 1.91874i | ||||
\(980\) | −45.1299 | + | 29.3906i | −1.44162 | + | 0.938850i | ||||
\(981\) | −2.79786 | − | 4.35355i | −0.0893288 | − | 0.138998i | ||||
\(982\) | 1.24327 | + | 5.12482i | 0.0396742 | + | 0.163539i | ||||
\(983\) | 26.0526 | + | 10.4299i | 0.830948 | + | 0.332661i | 0.747840 | − | 0.663879i | \(-0.231091\pi\) |
0.0831082 | + | 0.996541i | \(0.473515\pi\) | |||||||
\(984\) | 1.12539 | + | 1.58039i | 0.0358762 | + | 0.0503811i | ||||
\(985\) | −20.2013 | + | 8.08737i | −0.643666 | + | 0.257685i | ||||
\(986\) | 0.120249 | + | 0.0772796i | 0.00382952 | + | 0.00246108i | ||||
\(987\) | 5.29126 | − | 0.0160109i | 0.168423 | − | 0.000509632i | ||||
\(988\) | − | 43.6753i | − | 1.38950i | ||||||
\(989\) | 1.51716 | + | 46.0596i | 0.0482428 | + | 1.46461i | ||||
\(990\) | −1.92492 | − | 1.11135i | −0.0611779 | − | 0.0353211i | ||||
\(991\) | 16.9647 | − | 3.26968i | 0.538901 | − | 0.103865i | 0.0874641 | − | 0.996168i | \(-0.472124\pi\) |
0.451437 | + | 0.892303i | \(0.350912\pi\) | |||||||
\(992\) | 13.2443 | + | 0.630904i | 0.420507 | + | 0.0200312i | ||||
\(993\) | −4.94509 | − | 0.710997i | −0.156928 | − | 0.0225628i | ||||
\(994\) | 0.948775 | − | 1.34094i | 0.0300933 | − | 0.0425320i | ||||
\(995\) | 10.3240 | + | 71.8050i | 0.327293 | + | 2.27637i | ||||
\(996\) | −11.6642 | + | 2.82971i | −0.369596 | + | 0.0896629i | ||||
\(997\) | 61.0893 | − | 2.91004i | 1.93472 | − | 0.0921620i | 0.955503 | − | 0.294982i | \(-0.0953135\pi\) |
0.979216 | + | 0.202820i | \(0.0650105\pi\) | |||||||
\(998\) | 0.528427 | + | 0.0504587i | 0.0167271 | + | 0.00159724i | ||||
\(999\) | −6.87678 | − | 6.55700i | −0.217572 | − | 0.207454i |
(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 | 483.2.bf.a.10.18 | ✓ | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.355.15 | yes | 640 | |
23.7 | odd | 22 | inner | 483.2.bf.a.283.15 | yes | 640 | |
161.145 | even | 66 | inner | 483.2.bf.a.145.18 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.18 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.145.18 | yes | 640 | 161.145 | even | 66 | inner | |
483.2.bf.a.283.15 | yes | 640 | 23.7 | odd | 22 | inner | |
483.2.bf.a.355.15 | yes | 640 | 7.5 | odd | 6 | inner |