Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(29,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.l (of order \(2\), degree \(1\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Character | \(\chi\) | \(=\) | 280.29 |
Dual form | 280.2.l.a.29.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36669 | − | 0.363546i | −0.966394 | − | 0.257066i | ||||
\(3\) | 0.460762 | 0.266021 | 0.133011 | − | 0.991115i | \(-0.457536\pi\) | ||||
0.133011 | + | 0.991115i | \(0.457536\pi\) | |||||||
\(4\) | 1.73567 | + | 0.993708i | 0.867834 | + | 0.496854i | ||||
\(5\) | −2.19557 | + | 0.423658i | −0.981887 | + | 0.189466i | ||||
\(6\) | −0.629718 | − | 0.167508i | −0.257081 | − | 0.0683850i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | −2.01086 | − | 1.98908i | −0.710946 | − | 0.703247i | ||||
\(9\) | −2.78770 | −0.929233 | ||||||||
\(10\) | 3.15467 | + | 0.219182i | 0.997595 | + | 0.0693113i | ||||
\(11\) | − | 4.70105i | − | 1.41742i | −0.705500 | − | 0.708710i | \(-0.749277\pi\) | ||
0.705500 | − | 0.708710i | \(-0.250723\pi\) | |||||||
\(12\) | 0.799730 | + | 0.457863i | 0.230862 | + | 0.132174i | ||||
\(13\) | 0.906993 | 0.251554 | 0.125777 | − | 0.992059i | \(-0.459858\pi\) | ||||
0.125777 | + | 0.992059i | \(0.459858\pi\) | |||||||
\(14\) | −0.363546 | + | 1.36669i | −0.0971618 | + | 0.365263i | ||||
\(15\) | −1.01163 | + | 0.195206i | −0.261203 | + | 0.0504018i | ||||
\(16\) | 2.02509 | + | 3.44949i | 0.506273 | + | 0.862373i | ||||
\(17\) | − | 7.25402i | − | 1.75936i | −0.475567 | − | 0.879679i | \(-0.657757\pi\) | ||
0.475567 | − | 0.879679i | \(-0.342243\pi\) | |||||||
\(18\) | 3.80991 | + | 1.01346i | 0.898005 | + | 0.238874i | ||||
\(19\) | − | 2.15170i | − | 0.493634i | −0.969062 | − | 0.246817i | \(-0.920615\pi\) | ||
0.969062 | − | 0.246817i | \(-0.0793846\pi\) | |||||||
\(20\) | −4.23177 | − | 1.44642i | −0.946252 | − | 0.323430i | ||||
\(21\) | − | 0.460762i | − | 0.100547i | ||||||
\(22\) | −1.70905 | + | 6.42487i | −0.364370 | + | 1.36979i | ||||
\(23\) | 5.89989i | 1.23021i | 0.788445 | + | 0.615106i | \(0.210887\pi\) | ||||
−0.788445 | + | 0.615106i | \(0.789113\pi\) | |||||||
\(24\) | −0.926527 | − | 0.916494i | −0.189127 | − | 0.187079i | ||||
\(25\) | 4.64103 | − | 1.86034i | 0.928206 | − | 0.372068i | ||||
\(26\) | −1.23958 | − | 0.329734i | −0.243101 | − | 0.0646661i | ||||
\(27\) | −2.66675 | −0.513217 | ||||||||
\(28\) | 0.993708 | − | 1.73567i | 0.187793 | − | 0.328011i | ||||
\(29\) | − | 6.91659i | − | 1.28438i | −0.766546 | − | 0.642189i | \(-0.778026\pi\) | ||
0.766546 | − | 0.642189i | \(-0.221974\pi\) | |||||||
\(30\) | 1.45355 | + | 0.100991i | 0.265381 | + | 0.0184383i | ||||
\(31\) | −8.02835 | −1.44193 | −0.720967 | − | 0.692970i | \(-0.756302\pi\) | ||||
−0.720967 | + | 0.692970i | \(0.756302\pi\) | |||||||
\(32\) | −1.51362 | − | 5.45059i | −0.267572 | − | 0.963538i | ||||
\(33\) | − | 2.16607i | − | 0.377064i | ||||||
\(34\) | −2.63717 | + | 9.91398i | −0.452271 | + | 1.70023i | ||||
\(35\) | 0.423658 | + | 2.19557i | 0.0716113 | + | 0.371119i | ||||
\(36\) | −4.83852 | − | 2.77016i | −0.806420 | − | 0.461693i | ||||
\(37\) | −6.21426 | −1.02162 | −0.510809 | − | 0.859694i | \(-0.670654\pi\) | ||||
−0.510809 | + | 0.859694i | \(0.670654\pi\) | |||||||
\(38\) | −0.782242 | + | 2.94070i | −0.126896 | + | 0.477045i | ||||
\(39\) | 0.417908 | 0.0669188 | ||||||||
\(40\) | 5.25766 | + | 3.51525i | 0.831310 | + | 0.555810i | ||||
\(41\) | −6.21775 | −0.971049 | −0.485524 | − | 0.874223i | \(-0.661371\pi\) | ||||
−0.485524 | + | 0.874223i | \(0.661371\pi\) | |||||||
\(42\) | −0.167508 | + | 0.629718i | −0.0258471 | + | 0.0971676i | ||||
\(43\) | 9.32915 | 1.42268 | 0.711341 | − | 0.702847i | \(-0.248088\pi\) | ||||
0.711341 | + | 0.702847i | \(0.248088\pi\) | |||||||
\(44\) | 4.67147 | − | 8.15947i | 0.704251 | − | 1.23009i | ||||
\(45\) | 6.12058 | − | 1.18103i | 0.912402 | − | 0.176058i | ||||
\(46\) | 2.14488 | − | 8.06330i | 0.316245 | − | 1.18887i | ||||
\(47\) | 3.80960i | 0.555687i | 0.960626 | + | 0.277844i | \(0.0896197\pi\) | ||||
−0.960626 | + | 0.277844i | \(0.910380\pi\) | |||||||
\(48\) | 0.933085 | + | 1.58940i | 0.134679 | + | 0.229410i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −7.01915 | + | 0.855274i | −0.992658 | + | 0.120954i | ||||
\(51\) | − | 3.34238i | − | 0.468027i | ||||||
\(52\) | 1.57424 | + | 0.901285i | 0.218308 | + | 0.124986i | ||||
\(53\) | 4.96064 | 0.681396 | 0.340698 | − | 0.940173i | \(-0.389337\pi\) | ||||
0.340698 | + | 0.940173i | \(0.389337\pi\) | |||||||
\(54\) | 3.64462 | + | 0.969487i | 0.495969 | + | 0.131930i | ||||
\(55\) | 1.99164 | + | 10.3215i | 0.268552 | + | 1.39175i | ||||
\(56\) | −1.98908 | + | 2.01086i | −0.265802 | + | 0.268712i | ||||
\(57\) | − | 0.991422i | − | 0.131317i | ||||||
\(58\) | −2.51450 | + | 9.45282i | −0.330170 | + | 1.24122i | ||||
\(59\) | 11.7227i | 1.52616i | 0.646303 | + | 0.763081i | \(0.276314\pi\) | ||||
−0.646303 | + | 0.763081i | \(0.723686\pi\) | |||||||
\(60\) | −1.94984 | − | 0.666456i | −0.251723 | − | 0.0860391i | ||||
\(61\) | − | 6.20163i | − | 0.794038i | −0.917810 | − | 0.397019i | \(-0.870045\pi\) | ||
0.917810 | − | 0.397019i | \(-0.129955\pi\) | |||||||
\(62\) | 10.9722 | + | 2.91867i | 1.39348 | + | 0.370672i | ||||
\(63\) | 2.78770i | 0.351217i | ||||||||
\(64\) | 0.0870983 | + | 7.99953i | 0.0108873 | + | 0.999941i | ||||
\(65\) | −1.99136 | + | 0.384255i | −0.246998 | + | 0.0476609i | ||||
\(66\) | −0.787465 | + | 2.96034i | −0.0969302 | + | 0.364392i | ||||
\(67\) | 5.42728 | 0.663047 | 0.331524 | − | 0.943447i | \(-0.392437\pi\) | ||||
0.331524 | + | 0.943447i | \(0.392437\pi\) | |||||||
\(68\) | 7.20838 | − | 12.5906i | 0.874144 | − | 1.52683i | ||||
\(69\) | 2.71844i | 0.327262i | ||||||||
\(70\) | 0.219182 | − | 3.15467i | 0.0261972 | − | 0.377055i | ||||
\(71\) | 1.74762 | 0.207405 | 0.103702 | − | 0.994608i | \(-0.466931\pi\) | ||||
0.103702 | + | 0.994608i | \(0.466931\pi\) | |||||||
\(72\) | 5.60566 | + | 5.54496i | 0.660634 | + | 0.653480i | ||||
\(73\) | 5.82777i | 0.682089i | 0.940047 | + | 0.341045i | \(0.110781\pi\) | ||||
−0.940047 | + | 0.341045i | \(0.889219\pi\) | |||||||
\(74\) | 8.49296 | + | 2.25917i | 0.987286 | + | 0.262623i | ||||
\(75\) | 2.13841 | − | 0.857174i | 0.246922 | − | 0.0989779i | ||||
\(76\) | 2.13816 | − | 3.73464i | 0.245264 | − | 0.428392i | ||||
\(77\) | −4.70105 | −0.535735 | ||||||||
\(78\) | −0.571149 | − | 0.151929i | −0.0646699 | − | 0.0172025i | ||||
\(79\) | 8.05583 | 0.906352 | 0.453176 | − | 0.891421i | \(-0.350291\pi\) | ||||
0.453176 | + | 0.891421i | \(0.350291\pi\) | |||||||
\(80\) | −5.90763 | − | 6.71565i | −0.660493 | − | 0.750832i | ||||
\(81\) | 7.13436 | 0.792706 | ||||||||
\(82\) | 8.49771 | + | 2.26044i | 0.938416 | + | 0.249623i | ||||
\(83\) | −10.5144 | −1.15410 | −0.577052 | − | 0.816707i | \(-0.695797\pi\) | ||||
−0.577052 | + | 0.816707i | \(0.695797\pi\) | |||||||
\(84\) | 0.457863 | − | 0.799730i | 0.0499569 | − | 0.0872577i | ||||
\(85\) | 3.07322 | + | 15.9267i | 0.333338 | + | 1.72749i | ||||
\(86\) | −12.7500 | − | 3.39157i | −1.37487 | − | 0.365723i | ||||
\(87\) | − | 3.18690i | − | 0.341672i | ||||||
\(88\) | −9.35078 | + | 9.45315i | −0.996797 | + | 1.00771i | ||||
\(89\) | 11.5168 | 1.22078 | 0.610391 | − | 0.792100i | \(-0.291012\pi\) | ||||
0.610391 | + | 0.792100i | \(0.291012\pi\) | |||||||
\(90\) | −8.79428 | − | 0.611012i | −0.926998 | − | 0.0644064i | ||||
\(91\) | − | 0.906993i | − | 0.0950787i | ||||||
\(92\) | −5.86276 | + | 10.2402i | −0.611235 | + | 1.06762i | ||||
\(93\) | −3.69916 | −0.383585 | ||||||||
\(94\) | 1.38496 | − | 5.20653i | 0.142848 | − | 0.537013i | ||||
\(95\) | 0.911585 | + | 4.72420i | 0.0935266 | + | 0.484693i | ||||
\(96\) | −0.697417 | − | 2.51143i | −0.0711798 | − | 0.256321i | ||||
\(97\) | − | 11.6450i | − | 1.18237i | −0.806536 | − | 0.591184i | \(-0.798661\pi\) | ||
0.806536 | − | 0.591184i | \(-0.201339\pi\) | |||||||
\(98\) | 1.36669 | + | 0.363546i | 0.138056 | + | 0.0367237i | ||||
\(99\) | 13.1051i | 1.31711i | ||||||||
\(100\) | 9.90392 | + | 1.38289i | 0.990392 | + | 0.138289i | ||||
\(101\) | 10.4414i | 1.03896i | 0.854482 | + | 0.519481i | \(0.173875\pi\) | ||||
−0.854482 | + | 0.519481i | \(0.826125\pi\) | |||||||
\(102\) | −1.21511 | + | 4.56799i | −0.120314 | + | 0.452298i | ||||
\(103\) | − | 0.974021i | − | 0.0959731i | −0.998848 | − | 0.0479866i | \(-0.984720\pi\) | ||
0.998848 | − | 0.0479866i | \(-0.0152805\pi\) | |||||||
\(104\) | −1.82383 | − | 1.80408i | −0.178842 | − | 0.176905i | ||||
\(105\) | 0.195206 | + | 1.01163i | 0.0190501 | + | 0.0987254i | ||||
\(106\) | −6.77964 | − | 1.80342i | −0.658497 | − | 0.175164i | ||||
\(107\) | −3.56456 | −0.344599 | −0.172300 | − | 0.985045i | \(-0.555120\pi\) | ||||
−0.172300 | + | 0.985045i | \(0.555120\pi\) | |||||||
\(108\) | −4.62860 | − | 2.64997i | −0.445387 | − | 0.254994i | ||||
\(109\) | − | 10.9852i | − | 1.05219i | −0.850426 | − | 0.526095i | \(-0.823656\pi\) | ||
0.850426 | − | 0.526095i | \(-0.176344\pi\) | |||||||
\(110\) | 1.03038 | − | 14.8303i | 0.0982433 | − | 1.41401i | ||||
\(111\) | −2.86330 | −0.271772 | ||||||||
\(112\) | 3.44949 | − | 2.02509i | 0.325947 | − | 0.191353i | ||||
\(113\) | − | 13.6270i | − | 1.28192i | −0.767574 | − | 0.640961i | \(-0.778536\pi\) | ||
0.767574 | − | 0.640961i | \(-0.221464\pi\) | |||||||
\(114\) | −0.360427 | + | 1.35496i | −0.0337571 | + | 0.126904i | ||||
\(115\) | −2.49953 | − | 12.9536i | −0.233083 | − | 1.20793i | ||||
\(116\) | 6.87307 | − | 12.0049i | 0.638148 | − | 1.11463i | ||||
\(117\) | −2.52842 | −0.233753 | ||||||||
\(118\) | 4.26173 | − | 16.0212i | 0.392324 | − | 1.47487i | ||||
\(119\) | −7.25402 | −0.664975 | ||||||||
\(120\) | 2.42253 | + | 1.61969i | 0.221146 | + | 0.147857i | ||||
\(121\) | −11.0999 | −1.00908 | ||||||||
\(122\) | −2.25458 | + | 8.47569i | −0.204120 | + | 0.767353i | ||||
\(123\) | −2.86490 | −0.258319 | ||||||||
\(124\) | −13.9345 | − | 7.97783i | −1.25136 | − | 0.716430i | ||||
\(125\) | −9.40154 | + | 6.05071i | −0.840899 | + | 0.541192i | ||||
\(126\) | 1.01346 | − | 3.80991i | 0.0902859 | − | 0.339414i | ||||
\(127\) | − | 9.10398i | − | 0.807847i | −0.914793 | − | 0.403924i | \(-0.867646\pi\) | ||
0.914793 | − | 0.403924i | \(-0.132354\pi\) | |||||||
\(128\) | 2.78916 | − | 10.9645i | 0.246529 | − | 0.969135i | ||||
\(129\) | 4.29852 | 0.378463 | ||||||||
\(130\) | 2.86126 | + | 0.198796i | 0.250950 | + | 0.0174356i | ||||
\(131\) | 3.54709i | 0.309911i | 0.987921 | + | 0.154955i | \(0.0495234\pi\) | ||||
−0.987921 | + | 0.154955i | \(0.950477\pi\) | |||||||
\(132\) | 2.15244 | − | 3.75957i | 0.187346 | − | 0.327229i | ||||
\(133\) | −2.15170 | −0.186576 | ||||||||
\(134\) | −7.41739 | − | 1.97306i | −0.640765 | − | 0.170447i | ||||
\(135\) | 5.85503 | − | 1.12979i | 0.503921 | − | 0.0972369i | ||||
\(136\) | −14.4289 | + | 14.5868i | −1.23726 | + | 1.25081i | ||||
\(137\) | − | 8.61460i | − | 0.735995i | −0.929827 | − | 0.367998i | \(-0.880043\pi\) | ||
0.929827 | − | 0.367998i | \(-0.119957\pi\) | |||||||
\(138\) | 0.988280 | − | 3.71526i | 0.0841280 | − | 0.316264i | ||||
\(139\) | − | 2.63222i | − | 0.223262i | −0.993750 | − | 0.111631i | \(-0.964393\pi\) | ||
0.993750 | − | 0.111631i | \(-0.0356075\pi\) | |||||||
\(140\) | −1.44642 | + | 4.23177i | −0.122245 | + | 0.357650i | ||||
\(141\) | 1.75532i | 0.147824i | ||||||||
\(142\) | −2.38845 | − | 0.635341i | −0.200435 | − | 0.0533166i | ||||
\(143\) | − | 4.26382i | − | 0.356559i | ||||||
\(144\) | −5.64534 | − | 9.61615i | −0.470445 | − | 0.801346i | ||||
\(145\) | 2.93027 | + | 15.1858i | 0.243346 | + | 1.26112i | ||||
\(146\) | 2.11866 | − | 7.96475i | 0.175342 | − | 0.659167i | ||||
\(147\) | −0.460762 | −0.0380030 | ||||||||
\(148\) | −10.7859 | − | 6.17516i | −0.886596 | − | 0.507595i | ||||
\(149\) | − | 1.34906i | − | 0.110519i | −0.998472 | − | 0.0552597i | \(-0.982401\pi\) | ||
0.998472 | − | 0.0552597i | \(-0.0175987\pi\) | |||||||
\(150\) | −3.23416 | + | 0.394078i | −0.264068 | + | 0.0321763i | ||||
\(151\) | 1.05365 | 0.0857447 | 0.0428723 | − | 0.999081i | \(-0.486349\pi\) | ||||
0.0428723 | + | 0.999081i | \(0.486349\pi\) | |||||||
\(152\) | −4.27991 | + | 4.32676i | −0.347146 | + | 0.350947i | ||||
\(153\) | 20.2220i | 1.63485i | ||||||||
\(154\) | 6.42487 | + | 1.70905i | 0.517731 | + | 0.137719i | ||||
\(155\) | 17.6268 | − | 3.40127i | 1.41582 | − | 0.273197i | ||||
\(156\) | 0.725349 | + | 0.415278i | 0.0580744 | + | 0.0332489i | ||||
\(157\) | 6.90765 | 0.551291 | 0.275645 | − | 0.961259i | \(-0.411108\pi\) | ||||
0.275645 | + | 0.961259i | \(0.411108\pi\) | |||||||
\(158\) | −11.0098 | − | 2.92867i | −0.875893 | − | 0.232992i | ||||
\(159\) | 2.28567 | 0.181266 | ||||||||
\(160\) | 5.63243 | + | 11.3259i | 0.445283 | + | 0.895390i | ||||
\(161\) | 5.89989 | 0.464976 | ||||||||
\(162\) | −9.75043 | − | 2.59367i | −0.766066 | − | 0.203778i | ||||
\(163\) | 3.81159 | 0.298547 | 0.149273 | − | 0.988796i | \(-0.452307\pi\) | ||||
0.149273 | + | 0.988796i | \(0.452307\pi\) | |||||||
\(164\) | −10.7919 | − | 6.17862i | −0.842709 | − | 0.482469i | ||||
\(165\) | 0.917671 | + | 4.75575i | 0.0714406 | + | 0.370234i | ||||
\(166\) | 14.3699 | + | 3.82246i | 1.11532 | + | 0.296681i | ||||
\(167\) | − | 5.96816i | − | 0.461830i | −0.972974 | − | 0.230915i | \(-0.925828\pi\) | ||
0.972974 | − | 0.230915i | \(-0.0741719\pi\) | |||||||
\(168\) | −0.916494 | + | 0.926527i | −0.0707091 | + | 0.0714831i | ||||
\(169\) | −12.1774 | −0.936720 | ||||||||
\(170\) | 1.58995 | − | 22.8841i | 0.121944 | − | 1.75513i | ||||
\(171\) | 5.99829i | 0.458701i | ||||||||
\(172\) | 16.1923 | + | 9.27044i | 1.23465 | + | 0.706865i | ||||
\(173\) | −9.53599 | −0.725008 | −0.362504 | − | 0.931982i | \(-0.618078\pi\) | ||||
−0.362504 | + | 0.931982i | \(0.618078\pi\) | |||||||
\(174\) | −1.15859 | + | 4.35550i | −0.0878322 | + | 0.330190i | ||||
\(175\) | −1.86034 | − | 4.64103i | −0.140628 | − | 0.350829i | ||||
\(176\) | 16.2163 | − | 9.52006i | 1.22235 | − | 0.717601i | ||||
\(177\) | 5.40136i | 0.405991i | ||||||||
\(178\) | −15.7399 | − | 4.18690i | −1.17976 | − | 0.313821i | ||||
\(179\) | 16.7514i | 1.25206i | 0.779800 | + | 0.626028i | \(0.215321\pi\) | ||||
−0.779800 | + | 0.626028i | \(0.784679\pi\) | |||||||
\(180\) | 11.7969 | + | 4.03219i | 0.879289 | + | 0.300541i | ||||
\(181\) | 4.40466i | 0.327396i | 0.986511 | + | 0.163698i | \(0.0523422\pi\) | ||||
−0.986511 | + | 0.163698i | \(0.947658\pi\) | |||||||
\(182\) | −0.329734 | + | 1.23958i | −0.0244415 | + | 0.0918834i | ||||
\(183\) | − | 2.85748i | − | 0.211231i | ||||||
\(184\) | 11.7354 | − | 11.8638i | 0.865143 | − | 0.874613i | ||||
\(185\) | 13.6438 | − | 2.63272i | 1.00311 | − | 0.193562i | ||||
\(186\) | 5.05559 | + | 1.34481i | 0.370694 | + | 0.0986066i | ||||
\(187\) | −34.1015 | −2.49375 | ||||||||
\(188\) | −3.78563 | + | 6.61220i | −0.276095 | + | 0.482244i | ||||
\(189\) | 2.66675i | 0.193978i | ||||||||
\(190\) | 0.471613 | − | 6.78791i | 0.0342144 | − | 0.492447i | ||||
\(191\) | 23.6219 | 1.70922 | 0.854609 | − | 0.519272i | \(-0.173797\pi\) | ||||
0.854609 | + | 0.519272i | \(0.173797\pi\) | |||||||
\(192\) | 0.0401316 | + | 3.68588i | 0.00289625 | + | 0.266005i | ||||
\(193\) | 16.9843i | 1.22255i | 0.791417 | + | 0.611277i | \(0.209344\pi\) | ||||
−0.791417 | + | 0.611277i | \(0.790656\pi\) | |||||||
\(194\) | −4.23349 | + | 15.9151i | −0.303947 | + | 1.14263i | ||||
\(195\) | −0.917545 | + | 0.177050i | −0.0657067 | + | 0.0126788i | ||||
\(196\) | −1.73567 | − | 0.993708i | −0.123976 | − | 0.0709791i | ||||
\(197\) | 7.12840 | 0.507877 | 0.253939 | − | 0.967220i | \(-0.418274\pi\) | ||||
0.253939 | + | 0.967220i | \(0.418274\pi\) | |||||||
\(198\) | 4.76431 | − | 17.9106i | 0.338585 | − | 1.27285i | ||||
\(199\) | −7.59968 | −0.538727 | −0.269363 | − | 0.963039i | \(-0.586813\pi\) | ||||
−0.269363 | + | 0.963039i | \(0.586813\pi\) | |||||||
\(200\) | −13.0328 | − | 5.49051i | −0.921559 | − | 0.388238i | ||||
\(201\) | 2.50068 | 0.176385 | ||||||||
\(202\) | 3.79594 | − | 14.2702i | 0.267081 | − | 1.00405i | ||||
\(203\) | −6.91659 | −0.485449 | ||||||||
\(204\) | 3.32135 | − | 5.80126i | 0.232541 | − | 0.406170i | ||||
\(205\) | 13.6515 | − | 2.63420i | 0.953460 | − | 0.183980i | ||||
\(206\) | −0.354101 | + | 1.33118i | −0.0246714 | + | 0.0927479i | ||||
\(207\) | − | 16.4471i | − | 1.14315i | ||||||
\(208\) | 1.83674 | + | 3.12867i | 0.127355 | + | 0.216934i | ||||
\(209\) | −10.1153 | −0.699687 | ||||||||
\(210\) | 0.100991 | − | 1.45355i | 0.00696902 | − | 0.100305i | ||||
\(211\) | − | 12.5535i | − | 0.864220i | −0.901821 | − | 0.432110i | \(-0.857769\pi\) | ||
0.901821 | − | 0.432110i | \(-0.142231\pi\) | |||||||
\(212\) | 8.61002 | + | 4.92942i | 0.591338 | + | 0.338554i | ||||
\(213\) | 0.805238 | 0.0551740 | ||||||||
\(214\) | 4.87164 | + | 1.29588i | 0.333019 | + | 0.0885847i | ||||
\(215\) | −20.4828 | + | 3.95237i | −1.39691 | + | 0.269549i | ||||
\(216\) | 5.36246 | + | 5.30439i | 0.364869 | + | 0.360918i | ||||
\(217\) | 8.02835i | 0.545000i | ||||||||
\(218\) | −3.99362 | + | 15.0133i | −0.270482 | + | 1.01683i | ||||
\(219\) | 2.68522i | 0.181450i | ||||||||
\(220\) | −6.79970 | + | 19.8938i | −0.458436 | + | 1.34124i | ||||
\(221\) | − | 6.57934i | − | 0.442575i | ||||||
\(222\) | 3.91323 | + | 1.04094i | 0.262639 | + | 0.0698633i | ||||
\(223\) | − | 7.22407i | − | 0.483760i | −0.970306 | − | 0.241880i | \(-0.922236\pi\) | ||
0.970306 | − | 0.241880i | \(-0.0777640\pi\) | |||||||
\(224\) | −5.45059 | + | 1.51362i | −0.364183 | + | 0.101133i | ||||
\(225\) | −12.9378 | + | 5.18606i | −0.862519 | + | 0.345738i | ||||
\(226\) | −4.95405 | + | 18.6239i | −0.329538 | + | 1.23884i | ||||
\(227\) | 6.31624 | 0.419224 | 0.209612 | − | 0.977785i | \(-0.432780\pi\) | ||||
0.209612 | + | 0.977785i | \(0.432780\pi\) | |||||||
\(228\) | 0.985183 | − | 1.72078i | 0.0652454 | − | 0.113961i | ||||
\(229\) | − | 20.4708i | − | 1.35275i | −0.736559 | − | 0.676373i | \(-0.763551\pi\) | ||
0.736559 | − | 0.676373i | \(-0.236449\pi\) | |||||||
\(230\) | −1.29315 | + | 18.6122i | −0.0852676 | + | 1.22725i | ||||
\(231\) | −2.16607 | −0.142517 | ||||||||
\(232\) | −13.7577 | + | 13.9083i | −0.903235 | + | 0.913123i | ||||
\(233\) | − | 12.6153i | − | 0.826458i | −0.910627 | − | 0.413229i | \(-0.864401\pi\) | ||
0.910627 | − | 0.413229i | \(-0.135599\pi\) | |||||||
\(234\) | 3.45556 | + | 0.919198i | 0.225897 | + | 0.0600898i | ||||
\(235\) | −1.61397 | − | 8.36423i | −0.105284 | − | 0.545622i | ||||
\(236\) | −11.6489 | + | 20.3467i | −0.758279 | + | 1.32446i | ||||
\(237\) | 3.71182 | 0.241109 | ||||||||
\(238\) | 9.91398 | + | 2.63717i | 0.642628 | + | 0.170942i | ||||
\(239\) | 24.7537 | 1.60119 | 0.800593 | − | 0.599209i | \(-0.204518\pi\) | ||||
0.800593 | + | 0.599209i | \(0.204518\pi\) | |||||||
\(240\) | −2.72201 | − | 3.09432i | −0.175705 | − | 0.199737i | ||||
\(241\) | 9.84368 | 0.634087 | 0.317043 | − | 0.948411i | \(-0.397310\pi\) | ||||
0.317043 | + | 0.948411i | \(0.397310\pi\) | |||||||
\(242\) | 15.1701 | + | 4.03532i | 0.975170 | + | 0.259400i | ||||
\(243\) | 11.2875 | 0.724093 | ||||||||
\(244\) | 6.16261 | − | 10.7640i | 0.394521 | − | 0.689093i | ||||
\(245\) | 2.19557 | − | 0.423658i | 0.140270 | − | 0.0270665i | ||||
\(246\) | 3.91542 | + | 1.04152i | 0.249638 | + | 0.0664051i | ||||
\(247\) | − | 1.95158i | − | 0.124176i | ||||||
\(248\) | 16.1439 | + | 15.9690i | 1.02514 | + | 1.01404i | ||||
\(249\) | −4.84463 | −0.307016 | ||||||||
\(250\) | 15.0487 | − | 4.85153i | 0.951762 | − | 0.306838i | ||||
\(251\) | − | 5.68663i | − | 0.358937i | −0.983764 | − | 0.179469i | \(-0.942562\pi\) | ||
0.983764 | − | 0.179469i | \(-0.0574378\pi\) | |||||||
\(252\) | −2.77016 | + | 4.83852i | −0.174503 | + | 0.304798i | ||||
\(253\) | 27.7357 | 1.74373 | ||||||||
\(254\) | −3.30971 | + | 12.4423i | −0.207670 | + | 0.780699i | ||||
\(255\) | 1.41603 | + | 7.33842i | 0.0886749 | + | 0.459549i | ||||
\(256\) | −7.79802 | + | 13.9711i | −0.487376 | + | 0.873192i | ||||
\(257\) | 9.85759i | 0.614899i | 0.951564 | + | 0.307450i | \(0.0994756\pi\) | ||||
−0.951564 | + | 0.307450i | \(0.900524\pi\) | |||||||
\(258\) | −5.87473 | − | 1.56271i | −0.365745 | − | 0.0972900i | ||||
\(259\) | 6.21426i | 0.386136i | ||||||||
\(260\) | −3.83818 | − | 1.31189i | −0.238034 | − | 0.0813602i | ||||
\(261\) | 19.2814i | 1.19349i | ||||||||
\(262\) | 1.28953 | − | 4.84776i | 0.0796675 | − | 0.299496i | ||||
\(263\) | − | 4.80107i | − | 0.296047i | −0.988984 | − | 0.148023i | \(-0.952709\pi\) | ||
0.988984 | − | 0.148023i | \(-0.0472911\pi\) | |||||||
\(264\) | −4.30849 | + | 4.35565i | −0.265169 | + | 0.268072i | ||||
\(265\) | −10.8914 | + | 2.10161i | −0.669054 | + | 0.129101i | ||||
\(266\) | 2.94070 | + | 0.782242i | 0.180306 | + | 0.0479623i | ||||
\(267\) | 5.30652 | 0.324754 | ||||||||
\(268\) | 9.41995 | + | 5.39312i | 0.575415 | + | 0.329438i | ||||
\(269\) | − | 24.3324i | − | 1.48358i | −0.670635 | − | 0.741788i | \(-0.733978\pi\) | ||
0.670635 | − | 0.741788i | \(-0.266022\pi\) | |||||||
\(270\) | −8.41273 | − | 0.584503i | −0.511982 | − | 0.0355717i | ||||
\(271\) | −21.7578 | −1.32169 | −0.660846 | − | 0.750521i | \(-0.729802\pi\) | ||||
−0.660846 | + | 0.750521i | \(0.729802\pi\) | |||||||
\(272\) | 25.0227 | − | 14.6901i | 1.51722 | − | 0.890715i | ||||
\(273\) | − | 0.417908i | − | 0.0252929i | ||||||
\(274\) | −3.13181 | + | 11.7735i | −0.189199 | + | 0.711261i | ||||
\(275\) | −8.74555 | − | 21.8177i | −0.527377 | − | 1.31566i | ||||
\(276\) | −2.70134 | + | 4.71832i | −0.162601 | + | 0.284009i | ||||
\(277\) | −11.0672 | −0.664966 | −0.332483 | − | 0.943109i | \(-0.607886\pi\) | ||||
−0.332483 | + | 0.943109i | \(0.607886\pi\) | |||||||
\(278\) | −0.956934 | + | 3.59742i | −0.0573931 | + | 0.215759i | ||||
\(279\) | 22.3806 | 1.33989 | ||||||||
\(280\) | 3.51525 | − | 5.25766i | 0.210076 | − | 0.314205i | ||||
\(281\) | 7.46541 | 0.445349 | 0.222675 | − | 0.974893i | \(-0.428521\pi\) | ||||
0.222675 | + | 0.974893i | \(0.428521\pi\) | |||||||
\(282\) | 0.638139 | − | 2.39897i | 0.0380006 | − | 0.142857i | ||||
\(283\) | 12.9066 | 0.767215 | 0.383608 | − | 0.923496i | \(-0.374682\pi\) | ||||
0.383608 | + | 0.923496i | \(0.374682\pi\) | |||||||
\(284\) | 3.03329 | + | 1.73663i | 0.179993 | + | 0.103050i | ||||
\(285\) | 0.420024 | + | 2.17673i | 0.0248801 | + | 0.128939i | ||||
\(286\) | −1.55009 | + | 5.82731i | −0.0916590 | + | 0.344576i | ||||
\(287\) | 6.21775i | 0.367022i | ||||||||
\(288\) | 4.21950 | + | 15.1946i | 0.248637 | + | 0.895351i | ||||
\(289\) | −35.6208 | −2.09534 | ||||||||
\(290\) | 1.51599 | − | 21.8196i | 0.0890220 | − | 1.28129i | ||||
\(291\) | − | 5.36557i | − | 0.314535i | ||||||
\(292\) | −5.79110 | + | 10.1151i | −0.338899 | + | 0.591941i | ||||
\(293\) | −16.5980 | −0.969668 | −0.484834 | − | 0.874606i | \(-0.661120\pi\) | ||||
−0.484834 | + | 0.874606i | \(0.661120\pi\) | |||||||
\(294\) | 0.629718 | + | 0.167508i | 0.0367259 | + | 0.00976928i | ||||
\(295\) | −4.96640 | − | 25.7379i | −0.289155 | − | 1.49852i | ||||
\(296\) | 12.4960 | + | 12.3607i | 0.726315 | + | 0.718450i | ||||
\(297\) | 12.5365i | 0.727444i | ||||||||
\(298\) | −0.490446 | + | 1.84374i | −0.0284107 | + | 0.106805i | ||||
\(299\) | 5.35115i | 0.309465i | ||||||||
\(300\) | 4.56335 | + | 0.637185i | 0.263465 | + | 0.0367879i | ||||
\(301\) | − | 9.32915i | − | 0.537723i | ||||||
\(302\) | −1.44001 | − | 0.383050i | −0.0828631 | − | 0.0220420i | ||||
\(303\) | 4.81102i | 0.276386i | ||||||||
\(304\) | 7.42227 | − | 4.35739i | 0.425697 | − | 0.249913i | ||||
\(305\) | 2.62737 | + | 13.6161i | 0.150443 | + | 0.779655i | ||||
\(306\) | 7.35164 | − | 27.6372i | 0.420265 | − | 1.57991i | ||||
\(307\) | 22.4910 | 1.28363 | 0.641815 | − | 0.766860i | \(-0.278182\pi\) | ||||
0.641815 | + | 0.766860i | \(0.278182\pi\) | |||||||
\(308\) | −8.15947 | − | 4.67147i | −0.464929 | − | 0.266182i | ||||
\(309\) | − | 0.448792i | − | 0.0255309i | ||||||
\(310\) | −25.3268 | − | 1.75967i | −1.43847 | − | 0.0999424i | ||||
\(311\) | −13.5423 | −0.767911 | −0.383955 | − | 0.923352i | \(-0.625438\pi\) | ||||
−0.383955 | + | 0.923352i | \(0.625438\pi\) | |||||||
\(312\) | −0.840353 | − | 0.831253i | −0.0475756 | − | 0.0470605i | ||||
\(313\) | 8.36225i | 0.472662i | 0.971673 | + | 0.236331i | \(0.0759450\pi\) | ||||
−0.971673 | + | 0.236331i | \(0.924055\pi\) | |||||||
\(314\) | −9.44060 | − | 2.51125i | −0.532764 | − | 0.141718i | ||||
\(315\) | −1.18103 | − | 6.12058i | −0.0665435 | − | 0.344856i | ||||
\(316\) | 13.9823 | + | 8.00514i | 0.786563 | + | 0.450324i | ||||
\(317\) | −9.55188 | −0.536487 | −0.268244 | − | 0.963351i | \(-0.586443\pi\) | ||||
−0.268244 | + | 0.963351i | \(0.586443\pi\) | |||||||
\(318\) | −3.12380 | − | 0.830947i | −0.175174 | − | 0.0465972i | ||||
\(319\) | −32.5153 | −1.82050 | ||||||||
\(320\) | −3.58029 | − | 17.5266i | −0.200144 | − | 0.979766i | ||||
\(321\) | −1.64242 | −0.0916707 | ||||||||
\(322\) | −8.06330 | − | 2.14488i | −0.449350 | − | 0.119530i | ||||
\(323\) | −15.6085 | −0.868479 | ||||||||
\(324\) | 12.3829 | + | 7.08946i | 0.687938 | + | 0.393859i | ||||
\(325\) | 4.20938 | − | 1.68731i | 0.233494 | − | 0.0935953i | ||||
\(326\) | −5.20925 | − | 1.38569i | −0.288514 | − | 0.0767462i | ||||
\(327\) | − | 5.06156i | − | 0.279905i | ||||||
\(328\) | 12.5030 | + | 12.3676i | 0.690363 | + | 0.682887i | ||||
\(329\) | 3.80960 | 0.210030 | ||||||||
\(330\) | 0.474762 | − | 6.83323i | 0.0261348 | − | 0.376157i | ||||
\(331\) | − | 4.02356i | − | 0.221155i | −0.993868 | − | 0.110577i | \(-0.964730\pi\) | ||
0.993868 | − | 0.110577i | \(-0.0352700\pi\) | |||||||
\(332\) | −18.2495 | − | 10.4482i | −1.00157 | − | 0.573421i | ||||
\(333\) | 17.3235 | 0.949322 | ||||||||
\(334\) | −2.16970 | + | 8.15661i | −0.118721 | + | 0.446310i | ||||
\(335\) | −11.9159 | + | 2.29931i | −0.651038 | + | 0.125625i | ||||
\(336\) | 1.58940 | − | 0.933085i | 0.0867087 | − | 0.0509040i | ||||
\(337\) | − | 2.35080i | − | 0.128056i | −0.997948 | − | 0.0640282i | \(-0.979605\pi\) | ||
0.997948 | − | 0.0640282i | \(-0.0203947\pi\) | |||||||
\(338\) | 16.6426 | + | 4.42703i | 0.905241 | + | 0.240799i | ||||
\(339\) | − | 6.27881i | − | 0.341018i | ||||||
\(340\) | −10.4924 | + | 30.6973i | −0.569029 | + | 1.66480i | ||||
\(341\) | 37.7417i | 2.04383i | ||||||||
\(342\) | 2.18065 | − | 8.19779i | 0.117916 | − | 0.443286i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −18.7596 | − | 18.5564i | −1.01145 | − | 1.00050i | ||||
\(345\) | −1.15169 | − | 5.96853i | −0.0620049 | − | 0.321335i | ||||
\(346\) | 13.0327 | + | 3.46677i | 0.700643 | + | 0.186375i | ||||
\(347\) | 18.8580 | 1.01235 | 0.506175 | − | 0.862431i | \(-0.331059\pi\) | ||||
0.506175 | + | 0.862431i | \(0.331059\pi\) | |||||||
\(348\) | 3.16685 | − | 5.53141i | 0.169761 | − | 0.296515i | ||||
\(349\) | − | 36.6217i | − | 1.96032i | −0.198215 | − | 0.980159i | \(-0.563514\pi\) | ||
0.198215 | − | 0.980159i | \(-0.436486\pi\) | |||||||
\(350\) | 0.855274 | + | 7.01915i | 0.0457163 | + | 0.375190i | ||||
\(351\) | −2.41872 | −0.129102 | ||||||||
\(352\) | −25.6235 | + | 7.11559i | −1.36574 | + | 0.379262i | ||||
\(353\) | 4.26233i | 0.226861i | 0.993546 | + | 0.113430i | \(0.0361839\pi\) | ||||
−0.993546 | + | 0.113430i | \(0.963816\pi\) | |||||||
\(354\) | 1.96364 | − | 7.38197i | 0.104367 | − | 0.392348i | ||||
\(355\) | −3.83702 | + | 0.740394i | −0.203648 | + | 0.0392960i | ||||
\(356\) | 19.9894 | + | 11.4444i | 1.05944 | + | 0.606550i | ||||
\(357\) | −3.34238 | −0.176897 | ||||||||
\(358\) | 6.08990 | − | 22.8939i | 0.321861 | − | 1.20998i | ||||
\(359\) | 10.2985 | 0.543532 | 0.271766 | − | 0.962363i | \(-0.412392\pi\) | ||||
0.271766 | + | 0.962363i | \(0.412392\pi\) | |||||||
\(360\) | −14.6568 | − | 9.79945i | −0.772480 | − | 0.516477i | ||||
\(361\) | 14.3702 | 0.756326 | ||||||||
\(362\) | 1.60130 | − | 6.01979i | 0.0841623 | − | 0.316393i | ||||
\(363\) | −5.11441 | −0.268437 | ||||||||
\(364\) | 0.901285 | − | 1.57424i | 0.0472402 | − | 0.0825125i | ||||
\(365\) | −2.46898 | − | 12.7953i | −0.129232 | − | 0.669735i | ||||
\(366\) | −1.03882 | + | 3.90528i | −0.0543002 | + | 0.204132i | ||||
\(367\) | − | 21.6339i | − | 1.12928i | −0.825337 | − | 0.564640i | \(-0.809015\pi\) | ||
0.825337 | − | 0.564640i | \(-0.190985\pi\) | |||||||
\(368\) | −20.3516 | + | 11.9478i | −1.06090 | + | 0.622822i | ||||
\(369\) | 17.3332 | 0.902330 | ||||||||
\(370\) | −19.6040 | − | 1.36205i | −1.01916 | − | 0.0708098i | ||||
\(371\) | − | 4.96064i | − | 0.257543i | ||||||
\(372\) | −6.42051 | − | 3.67588i | −0.332888 | − | 0.190586i | ||||
\(373\) | −1.59921 | −0.0828039 | −0.0414020 | − | 0.999143i | \(-0.513182\pi\) | ||||
−0.0414020 | + | 0.999143i | \(0.513182\pi\) | |||||||
\(374\) | 46.6061 | + | 12.3975i | 2.40995 | + | 0.641058i | ||||
\(375\) | −4.33187 | + | 2.78794i | −0.223697 | + | 0.143968i | ||||
\(376\) | 7.57761 | − | 7.66056i | 0.390785 | − | 0.395063i | ||||
\(377\) | − | 6.27330i | − | 0.323091i | ||||||
\(378\) | 0.969487 | − | 3.64462i | 0.0498650 | − | 0.187459i | ||||
\(379\) | − | 9.67642i | − | 0.497044i | −0.968626 | − | 0.248522i | \(-0.920055\pi\) | ||
0.968626 | − | 0.248522i | \(-0.0799449\pi\) | |||||||
\(380\) | −3.11226 | + | 9.10549i | −0.159656 | + | 0.467102i | ||||
\(381\) | − | 4.19477i | − | 0.214904i | ||||||
\(382\) | −32.2837 | − | 8.58764i | −1.65178 | − | 0.439382i | ||||
\(383\) | 0.198092i | 0.0101220i | 0.999987 | + | 0.00506102i | \(0.00161098\pi\) | ||||
−0.999987 | + | 0.00506102i | \(0.998389\pi\) | |||||||
\(384\) | 1.28514 | − | 5.05203i | 0.0655820 | − | 0.257810i | ||||
\(385\) | 10.3215 | − | 1.99164i | 0.526031 | − | 0.101503i | ||||
\(386\) | 6.17456 | − | 23.2122i | 0.314277 | − | 1.18147i | ||||
\(387\) | −26.0068 | −1.32200 | ||||||||
\(388\) | 11.5717 | − | 20.2118i | 0.587464 | − | 1.02610i | ||||
\(389\) | 27.9997i | 1.41964i | 0.704382 | + | 0.709821i | \(0.251224\pi\) | ||||
−0.704382 | + | 0.709821i | \(0.748776\pi\) | |||||||
\(390\) | 1.31836 | + | 0.0915977i | 0.0667579 | + | 0.00463823i | ||||
\(391\) | 42.7979 | 2.16438 | ||||||||
\(392\) | 2.01086 | + | 1.98908i | 0.101564 | + | 0.100464i | ||||
\(393\) | 1.63437i | 0.0824428i | ||||||||
\(394\) | −9.74229 | − | 2.59150i | −0.490810 | − | 0.130558i | ||||
\(395\) | −17.6871 | + | 3.41292i | −0.889935 | + | 0.171722i | ||||
\(396\) | −13.0227 | + | 22.7461i | −0.654413 | + | 1.14304i | ||||
\(397\) | 9.16728 | 0.460093 | 0.230046 | − | 0.973180i | \(-0.426112\pi\) | ||||
0.230046 | + | 0.973180i | \(0.426112\pi\) | |||||||
\(398\) | 10.3864 | + | 2.76283i | 0.520622 | + | 0.138488i | ||||
\(399\) | −0.991422 | −0.0496332 | ||||||||
\(400\) | 15.8157 | + | 12.2418i | 0.790786 | + | 0.612092i | ||||
\(401\) | −25.8889 | −1.29283 | −0.646416 | − | 0.762986i | \(-0.723733\pi\) | ||||
−0.646416 | + | 0.762986i | \(0.723733\pi\) | |||||||
\(402\) | −3.41765 | − | 0.909113i | −0.170457 | − | 0.0453425i | ||||
\(403\) | −7.28165 | −0.362725 | ||||||||
\(404\) | −10.3757 | + | 18.1229i | −0.516212 | + | 0.901646i | ||||
\(405\) | −15.6640 | + | 3.02253i | −0.778348 | + | 0.150191i | ||||
\(406\) | 9.45282 | + | 2.51450i | 0.469135 | + | 0.124792i | ||||
\(407\) | 29.2136i | 1.44806i | ||||||||
\(408\) | −6.64827 | + | 6.72105i | −0.329138 | + | 0.332741i | ||||
\(409\) | −2.34443 | −0.115924 | −0.0579622 | − | 0.998319i | \(-0.518460\pi\) | ||||
−0.0579622 | + | 0.998319i | \(0.518460\pi\) | |||||||
\(410\) | −19.6150 | − | 1.36282i | −0.968713 | − | 0.0673047i | ||||
\(411\) | − | 3.96928i | − | 0.195790i | ||||||
\(412\) | 0.967892 | − | 1.69058i | 0.0476846 | − | 0.0832888i | ||||
\(413\) | 11.7227 | 0.576835 | ||||||||
\(414\) | −5.97928 | + | 22.4781i | −0.293866 | + | 1.10474i | ||||
\(415\) | 23.0850 | − | 4.45450i | 1.13320 | − | 0.218663i | ||||
\(416\) | −1.37284 | − | 4.94365i | −0.0673089 | − | 0.242382i | ||||
\(417\) | − | 1.21283i | − | 0.0593924i | ||||||
\(418\) | 13.8244 | + | 3.67736i | 0.676173 | + | 0.179866i | ||||
\(419\) | 20.5898i | 1.00588i | 0.864323 | + | 0.502938i | \(0.167747\pi\) | ||||
−0.864323 | + | 0.502938i | \(0.832253\pi\) | |||||||
\(420\) | −0.666456 | + | 1.94984i | −0.0325197 | + | 0.0951424i | ||||
\(421\) | 2.24931i | 0.109625i | 0.998497 | + | 0.0548123i | \(0.0174560\pi\) | ||||
−0.998497 | + | 0.0548123i | \(0.982544\pi\) | |||||||
\(422\) | −4.56378 | + | 17.1567i | −0.222161 | + | 0.835177i | ||||
\(423\) | − | 10.6200i | − | 0.516363i | ||||||
\(424\) | −9.97513 | − | 9.86711i | −0.484435 | − | 0.479189i | ||||
\(425\) | −13.4949 | − | 33.6661i | −0.654601 | − | 1.63305i | ||||
\(426\) | −1.10051 | − | 0.292741i | −0.0533198 | − | 0.0141834i | ||||
\(427\) | −6.20163 | −0.300118 | ||||||||
\(428\) | −6.18690 | − | 3.54213i | −0.299055 | − | 0.171215i | ||||
\(429\) | − | 1.96461i | − | 0.0948521i | ||||||
\(430\) | 29.4304 | + | 2.04478i | 1.41926 | + | 0.0986080i | ||||
\(431\) | −2.18110 | −0.105060 | −0.0525299 | − | 0.998619i | \(-0.516728\pi\) | ||||
−0.0525299 | + | 0.998619i | \(0.516728\pi\) | |||||||
\(432\) | −5.40041 | − | 9.19894i | −0.259828 | − | 0.442584i | ||||
\(433\) | − | 7.03200i | − | 0.337936i | −0.985622 | − | 0.168968i | \(-0.945956\pi\) | ||
0.985622 | − | 0.168968i | \(-0.0540435\pi\) | |||||||
\(434\) | 2.91867 | − | 10.9722i | 0.140101 | − | 0.526684i | ||||
\(435\) | 1.35016 | + | 6.99706i | 0.0647351 | + | 0.335483i | ||||
\(436\) | 10.9161 | − | 19.0667i | 0.522785 | − | 0.913127i | ||||
\(437\) | 12.6948 | 0.607274 | ||||||||
\(438\) | 0.976200 | − | 3.66985i | 0.0466447 | − | 0.175352i | ||||
\(439\) | 5.52633 | 0.263757 | 0.131879 | − | 0.991266i | \(-0.457899\pi\) | ||||
0.131879 | + | 0.991266i | \(0.457899\pi\) | |||||||
\(440\) | 16.5254 | − | 24.7166i | 0.787816 | − | 1.17832i | ||||
\(441\) | 2.78770 | 0.132748 | ||||||||
\(442\) | −2.39189 | + | 8.99191i | −0.113771 | + | 0.427701i | ||||
\(443\) | 16.0527 | 0.762685 | 0.381342 | − | 0.924434i | \(-0.375462\pi\) | ||||
0.381342 | + | 0.924434i | \(0.375462\pi\) | |||||||
\(444\) | −4.96974 | − | 2.84528i | −0.235853 | − | 0.135031i | ||||
\(445\) | −25.2860 | + | 4.87920i | −1.19867 | + | 0.231296i | ||||
\(446\) | −2.62628 | + | 9.87305i | −0.124358 | + | 0.467502i | ||||
\(447\) | − | 0.621596i | − | 0.0294005i | ||||||
\(448\) | 7.99953 | − | 0.0870983i | 0.377942 | − | 0.00411501i | ||||
\(449\) | 35.7937 | 1.68921 | 0.844606 | − | 0.535389i | \(-0.179835\pi\) | ||||
0.844606 | + | 0.535389i | \(0.179835\pi\) | |||||||
\(450\) | 19.5673 | − | 2.38425i | 0.922410 | − | 0.112394i | ||||
\(451\) | 29.2300i | 1.37638i | ||||||||
\(452\) | 13.5413 | − | 23.6520i | 0.636927 | − | 1.11250i | ||||
\(453\) | 0.485481 | 0.0228099 | ||||||||
\(454\) | −8.63233 | − | 2.29625i | −0.405135 | − | 0.107768i | ||||
\(455\) | 0.384255 | + | 1.99136i | 0.0180141 | + | 0.0933565i | ||||
\(456\) | −1.97202 | + | 1.99361i | −0.0923483 | + | 0.0933593i | ||||
\(457\) | 10.5179i | 0.492007i | 0.969269 | + | 0.246004i | \(0.0791175\pi\) | ||||
−0.969269 | + | 0.246004i | \(0.920882\pi\) | |||||||
\(458\) | −7.44206 | + | 27.9771i | −0.347745 | + | 1.30729i | ||||
\(459\) | 19.3447i | 0.902932i | ||||||||
\(460\) | 8.53372 | − | 24.9670i | 0.397887 | − | 1.16409i | ||||
\(461\) | − | 3.48563i | − | 0.162342i | −0.996700 | − | 0.0811711i | \(-0.974134\pi\) | ||
0.996700 | − | 0.0811711i | \(-0.0258660\pi\) | |||||||
\(462\) | 2.96034 | + | 0.787465i | 0.137727 | + | 0.0366362i | ||||
\(463\) | 17.0646i | 0.793060i | 0.918022 | + | 0.396530i | \(0.129786\pi\) | ||||
−0.918022 | + | 0.396530i | \(0.870214\pi\) | |||||||
\(464\) | 23.8587 | − | 14.0067i | 1.10761 | − | 0.650246i | ||||
\(465\) | 8.12175 | − | 1.56718i | 0.376637 | − | 0.0726761i | ||||
\(466\) | −4.58626 | + | 17.2412i | −0.212454 | + | 0.798684i | ||||
\(467\) | 20.2827 | 0.938572 | 0.469286 | − | 0.883046i | \(-0.344511\pi\) | ||||
0.469286 | + | 0.883046i | \(0.344511\pi\) | |||||||
\(468\) | −4.38850 | − | 2.51251i | −0.202859 | − | 0.116141i | ||||
\(469\) | − | 5.42728i | − | 0.250608i | ||||||
\(470\) | −0.834994 | + | 12.0180i | −0.0385154 | + | 0.554351i | ||||
\(471\) | 3.18278 | 0.146655 | ||||||||
\(472\) | 23.3174 | − | 23.5726i | 1.07327 | − | 1.08502i | ||||
\(473\) | − | 43.8568i | − | 2.01654i | ||||||
\(474\) | −5.07290 | − | 1.34942i | −0.233006 | − | 0.0619808i | ||||
\(475\) | −4.00289 | − | 9.98610i | −0.183665 | − | 0.458194i | ||||
\(476\) | −12.5906 | − | 7.20838i | −0.577088 | − | 0.330395i | ||||
\(477\) | −13.8288 | −0.633175 | ||||||||
\(478\) | −33.8306 | − | 8.99912i | −1.54738 | − | 0.411610i | ||||
\(479\) | −29.4100 | −1.34378 | −0.671889 | − | 0.740652i | \(-0.734517\pi\) | ||||
−0.671889 | + | 0.740652i | \(0.734517\pi\) | |||||||
\(480\) | 2.59521 | + | 5.21854i | 0.118455 | + | 0.238193i | ||||
\(481\) | −5.63629 | −0.256993 | ||||||||
\(482\) | −13.4532 | − | 3.57863i | −0.612778 | − | 0.163002i | ||||
\(483\) | 2.71844 | 0.123694 | ||||||||
\(484\) | −19.2657 | − | 11.0301i | −0.875716 | − | 0.501366i | ||||
\(485\) | 4.93349 | + | 25.5673i | 0.224018 | + | 1.16095i | ||||
\(486\) | −15.4265 | − | 4.10352i | −0.699759 | − | 0.186140i | ||||
\(487\) | 8.24187i | 0.373475i | 0.982410 | + | 0.186737i | \(0.0597914\pi\) | ||||
−0.982410 | + | 0.186737i | \(0.940209\pi\) | |||||||
\(488\) | −12.3356 | + | 12.4706i | −0.558405 | + | 0.564518i | ||||
\(489\) | 1.75624 | 0.0794198 | ||||||||
\(490\) | −3.15467 | − | 0.219182i | −0.142514 | − | 0.00990162i | ||||
\(491\) | 13.7812i | 0.621937i | 0.950420 | + | 0.310969i | \(0.100653\pi\) | ||||
−0.950420 | + | 0.310969i | \(0.899347\pi\) | |||||||
\(492\) | −4.97252 | − | 2.84687i | −0.224179 | − | 0.128347i | ||||
\(493\) | −50.1731 | −2.25968 | ||||||||
\(494\) | −0.709488 | + | 2.66719i | −0.0319214 | + | 0.120003i | ||||
\(495\) | −5.55209 | − | 28.7732i | −0.249548 | − | 1.29326i | ||||
\(496\) | −16.2581 | − | 27.6937i | −0.730012 | − | 1.24349i | ||||
\(497\) | − | 1.74762i | − | 0.0783916i | ||||||
\(498\) | 6.62110 | + | 1.76125i | 0.296699 | + | 0.0789234i | ||||
\(499\) | 9.19790i | 0.411755i | 0.978578 | + | 0.205877i | \(0.0660048\pi\) | ||||
−0.978578 | + | 0.205877i | \(0.933995\pi\) | |||||||
\(500\) | −22.3306 | + | 1.15964i | −0.998654 | + | 0.0518607i | ||||
\(501\) | − | 2.74990i | − | 0.122857i | ||||||
\(502\) | −2.06735 | + | 7.77185i | −0.0922705 | + | 0.346875i | ||||
\(503\) | 37.3905i | 1.66716i | 0.552400 | + | 0.833579i | \(0.313712\pi\) | ||||
−0.552400 | + | 0.833579i | \(0.686288\pi\) | |||||||
\(504\) | 5.54496 | − | 5.60566i | 0.246992 | − | 0.249696i | ||||
\(505\) | −4.42359 | − | 22.9249i | −0.196847 | − | 1.02014i | ||||
\(506\) | −37.9060 | − | 10.0832i | −1.68513 | − | 0.448253i | ||||
\(507\) | −5.61087 | −0.249187 | ||||||||
\(508\) | 9.04669 | − | 15.8015i | 0.401382 | − | 0.701077i | ||||
\(509\) | − | 34.5582i | − | 1.53177i | −0.642980 | − | 0.765883i | \(-0.722302\pi\) | ||
0.642980 | − | 0.765883i | \(-0.277698\pi\) | |||||||
\(510\) | 0.732588 | − | 10.5441i | 0.0324396 | − | 0.466901i | ||||
\(511\) | 5.82777 | 0.257806 | ||||||||
\(512\) | 15.7366 | − | 16.2592i | 0.695465 | − | 0.718560i | ||||
\(513\) | 5.73805i | 0.253341i | ||||||||
\(514\) | 3.58369 | − | 13.4722i | 0.158070 | − | 0.594235i | ||||
\(515\) | 0.412652 | + | 2.13853i | 0.0181836 | + | 0.0942348i | ||||
\(516\) | 7.46080 | + | 4.27147i | 0.328443 | + | 0.188041i | ||||
\(517\) | 17.9091 | 0.787642 | ||||||||
\(518\) | 2.25917 | − | 8.49296i | 0.0992623 | − | 0.373159i | ||||
\(519\) | −4.39382 | −0.192867 | ||||||||
\(520\) | 4.76866 | + | 3.18830i | 0.209120 | + | 0.139816i | ||||
\(521\) | 39.5046 | 1.73073 | 0.865363 | − | 0.501146i | \(-0.167088\pi\) | ||||
0.865363 | + | 0.501146i | \(0.167088\pi\) | |||||||
\(522\) | 7.00966 | − | 26.3516i | 0.306805 | − | 1.15338i | ||||
\(523\) | −10.0402 | −0.439026 | −0.219513 | − | 0.975610i | \(-0.570447\pi\) | ||||
−0.219513 | + | 0.975610i | \(0.570447\pi\) | |||||||
\(524\) | −3.52477 | + | 6.15658i | −0.153980 | + | 0.268951i | ||||
\(525\) | −0.857174 | − | 2.13841i | −0.0374101 | − | 0.0933279i | ||||
\(526\) | −1.74541 | + | 6.56156i | −0.0761035 | + | 0.286098i | ||||
\(527\) | 58.2378i | 2.53688i | ||||||||
\(528\) | 7.47183 | − | 4.38648i | 0.325170 | − | 0.190897i | ||||
\(529\) | −11.8087 | −0.513420 | ||||||||
\(530\) | 15.6492 | + | 1.08728i | 0.679757 | + | 0.0472284i | ||||
\(531\) | − | 32.6793i | − | 1.41816i | ||||||
\(532\) | −3.73464 | − | 2.13816i | −0.161917 | − | 0.0927010i | ||||
\(533\) | −5.63945 | −0.244272 | ||||||||
\(534\) | −7.25236 | − | 1.92917i | −0.313840 | − | 0.0834831i | ||||
\(535\) | 7.82624 | − | 1.51016i | 0.338358 | − | 0.0652897i | ||||
\(536\) | −10.9135 | − | 10.7953i | −0.471390 | − | 0.466286i | ||||
\(537\) | 7.71840i | 0.333074i | ||||||||
\(538\) | −8.84596 | + | 33.2548i | −0.381377 | + | 1.43372i | ||||
\(539\) | 4.70105i | 0.202489i | ||||||||
\(540\) | 11.2851 | + | 3.85725i | 0.485632 | + | 0.165990i | ||||
\(541\) | − | 2.72177i | − | 0.117018i | −0.998287 | − | 0.0585090i | \(-0.981365\pi\) | ||
0.998287 | − | 0.0585090i | \(-0.0186346\pi\) | |||||||
\(542\) | 29.7361 | + | 7.90996i | 1.27728 | + | 0.339762i | ||||
\(543\) | 2.02950i | 0.0870942i | ||||||||
\(544\) | −39.5387 | + | 10.9798i | −1.69521 | + | 0.470755i | ||||
\(545\) | 4.65396 | + | 24.1187i | 0.199354 | + | 1.03313i | ||||
\(546\) | −0.151929 | + | 0.571149i | −0.00650195 | + | 0.0244429i | ||||
\(547\) | −16.6603 | −0.712342 | −0.356171 | − | 0.934421i | \(-0.615918\pi\) | ||||
−0.356171 | + | 0.934421i | \(0.615918\pi\) | |||||||
\(548\) | 8.56040 | − | 14.9521i | 0.365682 | − | 0.638722i | ||||
\(549\) | 17.2883i | 0.737846i | ||||||||
\(550\) | 4.02069 | + | 32.9974i | 0.171443 | + | 1.40701i | ||||
\(551\) | −14.8824 | −0.634013 | ||||||||
\(552\) | 5.40721 | − | 5.46641i | 0.230146 | − | 0.232666i | ||||
\(553\) | − | 8.05583i | − | 0.342569i | ||||||
\(554\) | 15.1255 | + | 4.02345i | 0.642619 | + | 0.170940i | ||||
\(555\) | 6.28656 | − | 1.21306i | 0.266850 | − | 0.0514915i | ||||
\(556\) | 2.61566 | − | 4.56866i | 0.110929 | − | 0.193754i | ||||
\(557\) | 18.4977 | 0.783774 | 0.391887 | − | 0.920013i | \(-0.371822\pi\) | ||||
0.391887 | + | 0.920013i | \(0.371822\pi\) | |||||||
\(558\) | −30.5873 | − | 8.13638i | −1.29486 | − | 0.344441i | ||||
\(559\) | 8.46147 | 0.357882 | ||||||||
\(560\) | −6.71565 | + | 5.90763i | −0.283788 | + | 0.249643i | ||||
\(561\) | −15.7127 | −0.663391 | ||||||||
\(562\) | −10.2029 | − | 2.71402i | −0.430383 | − | 0.114484i | ||||
\(563\) | 38.2569 | 1.61234 | 0.806169 | − | 0.591685i | \(-0.201537\pi\) | ||||
0.806169 | + | 0.591685i | \(0.201537\pi\) | |||||||
\(564\) | −1.74427 | + | 3.04665i | −0.0734472 | + | 0.128287i | ||||
\(565\) | 5.77319 | + | 29.9190i | 0.242880 | + | 1.25870i | ||||
\(566\) | −17.6392 | − | 4.69213i | −0.741432 | − | 0.197225i | ||||
\(567\) | − | 7.13436i | − | 0.299615i | ||||||
\(568\) | −3.51422 | − | 3.47617i | −0.147453 | − | 0.145857i | ||||
\(569\) | −29.2380 | −1.22572 | −0.612859 | − | 0.790192i | \(-0.709981\pi\) | ||||
−0.612859 | + | 0.790192i | \(0.709981\pi\) | |||||||
\(570\) | 0.217302 | − | 3.12761i | 0.00910176 | − | 0.131001i | ||||
\(571\) | 23.5861i | 0.987046i | 0.869733 | + | 0.493523i | \(0.164291\pi\) | ||||
−0.869733 | + | 0.493523i | \(0.835709\pi\) | |||||||
\(572\) | 4.23699 | − | 7.40058i | 0.177157 | − | 0.309434i | ||||
\(573\) | 10.8841 | 0.454688 | ||||||||
\(574\) | 2.26044 | − | 8.49771i | 0.0943488 | − | 0.354688i | ||||
\(575\) | 10.9758 | + | 27.3815i | 0.457722 | + | 1.14189i | ||||
\(576\) | −0.242804 | − | 22.3003i | −0.0101168 | − | 0.929178i | ||||
\(577\) | − | 19.5025i | − | 0.811898i | −0.913896 | − | 0.405949i | \(-0.866941\pi\) | ||
0.913896 | − | 0.405949i | \(-0.133059\pi\) | |||||||
\(578\) | 48.6825 | + | 12.9498i | 2.02493 | + | 0.538641i | ||||
\(579\) | 7.82570i | 0.325225i | ||||||||
\(580\) | −10.0043 | + | 29.2694i | −0.415406 | + | 1.21535i | ||||
\(581\) | 10.5144i | 0.436210i | ||||||||
\(582\) | −1.95063 | + | 7.33305i | −0.0808562 | + | 0.303965i | ||||
\(583\) | − | 23.3202i | − | 0.965824i | ||||||
\(584\) | 11.5919 | − | 11.7188i | 0.479677 | − | 0.484928i | ||||
\(585\) | 5.55132 | − | 1.07119i | 0.229519 | − | 0.0442881i | ||||
\(586\) | 22.6843 | + | 6.03415i | 0.937081 | + | 0.249269i | ||||
\(587\) | 26.1827 | 1.08067 | 0.540337 | − | 0.841449i | \(-0.318297\pi\) | ||||
0.540337 | + | 0.841449i | \(0.318297\pi\) | |||||||
\(588\) | −0.799730 | − | 0.457863i | −0.0329803 | − | 0.0188819i | ||||
\(589\) | 17.2746i | 0.711787i | ||||||||
\(590\) | −2.56940 | + | 36.9812i | −0.105780 | + | 1.52249i | ||||
\(591\) | 3.28450 | 0.135106 | ||||||||
\(592\) | −12.5844 | − | 21.4361i | −0.517218 | − | 0.881017i | ||||
\(593\) | − | 12.4309i | − | 0.510474i | −0.966878 | − | 0.255237i | \(-0.917846\pi\) | ||
0.966878 | − | 0.255237i | \(-0.0821536\pi\) | |||||||
\(594\) | 4.55761 | − | 17.1335i | 0.187001 | − | 0.702997i | ||||
\(595\) | 15.9267 | − | 3.07322i | 0.652931 | − | 0.125990i | ||||
\(596\) | 1.34057 | − | 2.34152i | 0.0549119 | − | 0.0959125i | ||||
\(597\) | −3.50164 | −0.143313 | ||||||||
\(598\) | 1.94539 | − | 7.31335i | 0.0795529 | − | 0.299065i | ||||
\(599\) | −2.39815 | −0.0979859 | −0.0489929 | − | 0.998799i | \(-0.515601\pi\) | ||||
−0.0489929 | + | 0.998799i | \(0.515601\pi\) | |||||||
\(600\) | −6.00503 | − | 2.52982i | −0.245154 | − | 0.103279i | ||||
\(601\) | −9.37275 | −0.382322 | −0.191161 | − | 0.981559i | \(-0.561225\pi\) | ||||
−0.191161 | + | 0.981559i | \(0.561225\pi\) | |||||||
\(602\) | −3.39157 | + | 12.7500i | −0.138230 | + | 0.519652i | ||||
\(603\) | −15.1296 | −0.616125 | ||||||||
\(604\) | 1.82878 | + | 1.04702i | 0.0744122 | + | 0.0426026i | ||||
\(605\) | 24.3706 | − | 4.70256i | 0.990804 | − | 0.191186i | ||||
\(606\) | 1.74903 | − | 6.57515i | 0.0710493 | − | 0.267097i | ||||
\(607\) | 34.0497i | 1.38203i | 0.722839 | + | 0.691017i | \(0.242837\pi\) | ||||
−0.722839 | + | 0.691017i | \(0.757163\pi\) | |||||||
\(608\) | −11.7280 | + | 3.25685i | −0.475635 | + | 0.132083i | ||||
\(609\) | −3.18690 | −0.129140 | ||||||||
\(610\) | 1.35928 | − | 19.5641i | 0.0550358 | − | 0.792128i | ||||
\(611\) | 3.45528i | 0.139786i | ||||||||
\(612\) | −20.0948 | + | 35.0987i | −0.812283 | + | 1.41878i | ||||
\(613\) | −2.83753 | −0.114607 | −0.0573035 | − | 0.998357i | \(-0.518250\pi\) | ||||
−0.0573035 | + | 0.998357i | \(0.518250\pi\) | |||||||
\(614\) | −30.7382 | − | 8.17651i | −1.24049 | − | 0.329977i | ||||
\(615\) | 6.29008 | − | 1.21374i | 0.253641 | − | 0.0489427i | ||||
\(616\) | 9.45315 | + | 9.35078i | 0.380878 | + | 0.376754i | ||||
\(617\) | 32.4594i | 1.30677i | 0.757027 | + | 0.653384i | \(0.226651\pi\) | ||||
−0.757027 | + | 0.653384i | \(0.773349\pi\) | |||||||
\(618\) | −0.163157 | + | 0.613358i | −0.00656312 | + | 0.0246729i | ||||
\(619\) | − | 10.5243i | − | 0.423006i | −0.977377 | − | 0.211503i | \(-0.932164\pi\) | ||
0.977377 | − | 0.211503i | \(-0.0678359\pi\) | |||||||
\(620\) | 33.9741 | + | 11.6124i | 1.36443 | + | 0.466364i | ||||
\(621\) | − | 15.7335i | − | 0.631365i | ||||||
\(622\) | 18.5080 | + | 4.92323i | 0.742104 | + | 0.197404i | ||||
\(623\) | − | 11.5168i | − | 0.461412i | ||||||
\(624\) | 0.846301 | + | 1.44157i | 0.0338792 | + | 0.0577090i | ||||
\(625\) | 18.0783 | − | 17.2678i | 0.723131 | − | 0.690711i | ||||
\(626\) | 3.04006 | − | 11.4286i | 0.121505 | − | 0.456778i | ||||
\(627\) | −4.66073 | −0.186131 | ||||||||
\(628\) | 11.9894 | + | 6.86419i | 0.478429 | + | 0.273911i | ||||
\(629\) | 45.0784i | 1.79739i | ||||||||
\(630\) | −0.611012 | + | 8.79428i | −0.0243433 | + | 0.350372i | ||||
\(631\) | −8.92822 | −0.355427 | −0.177713 | − | 0.984082i | \(-0.556870\pi\) | ||||
−0.177713 | + | 0.984082i | \(0.556870\pi\) | |||||||
\(632\) | −16.1991 | − | 16.0237i | −0.644367 | − | 0.637389i | ||||
\(633\) | − | 5.78419i | − | 0.229901i | ||||||
\(634\) | 13.0544 | + | 3.47255i | 0.518458 | + | 0.137913i | ||||
\(635\) | 3.85697 | + | 19.9884i | 0.153059 | + | 0.793215i | ||||
\(636\) | 3.96717 | + | 2.27129i | 0.157309 | + | 0.0900625i | ||||
\(637\) | −0.906993 | −0.0359364 | ||||||||
\(638\) | 44.4382 | + | 11.8208i | 1.75932 | + | 0.467990i | ||||
\(639\) | −4.87184 | −0.192727 | ||||||||
\(640\) | −1.47858 | + | 25.2550i | −0.0584461 | + | 0.998291i | ||||
\(641\) | 3.21151 | 0.126847 | 0.0634235 | − | 0.997987i | \(-0.479798\pi\) | ||||
0.0634235 | + | 0.997987i | \(0.479798\pi\) | |||||||
\(642\) | 2.24467 | + | 0.597094i | 0.0885900 | + | 0.0235654i | ||||
\(643\) | −19.3330 | −0.762418 | −0.381209 | − | 0.924489i | \(-0.624492\pi\) | ||||
−0.381209 | + | 0.924489i | \(0.624492\pi\) | |||||||
\(644\) | 10.2402 | + | 5.86276i | 0.403522 | + | 0.231025i | ||||
\(645\) | −9.43768 | + | 1.82110i | −0.371608 | + | 0.0717058i | ||||
\(646\) | 21.3319 | + | 5.67440i | 0.839293 | + | 0.223256i | ||||
\(647\) | 44.1500i | 1.73571i | 0.496814 | + | 0.867857i | \(0.334503\pi\) | ||||
−0.496814 | + | 0.867857i | \(0.665497\pi\) | |||||||
\(648\) | −14.3462 | − | 14.1908i | −0.563571 | − | 0.557468i | ||||
\(649\) | 55.1089 | 2.16321 | ||||||||
\(650\) | −6.36632 | + | 0.775727i | −0.249708 | + | 0.0304265i | ||||
\(651\) | 3.69916i | 0.144981i | ||||||||
\(652\) | 6.61566 | + | 3.78761i | 0.259089 | + | 0.148334i | ||||
\(653\) | −15.5908 | −0.610114 | −0.305057 | − | 0.952334i | \(-0.598676\pi\) | ||||
−0.305057 | + | 0.952334i | \(0.598676\pi\) | |||||||
\(654\) | −1.84011 | + | 6.91757i | −0.0719540 | + | 0.270498i | ||||
\(655\) | −1.50275 | − | 7.78788i | −0.0587174 | − | 0.304298i | ||||
\(656\) | −12.5915 | − | 21.4481i | −0.491615 | − | 0.837407i | ||||
\(657\) | − | 16.2461i | − | 0.633820i | ||||||
\(658\) | −5.20653 | − | 1.38496i | −0.202972 | − | 0.0539915i | ||||
\(659\) | − | 46.2070i | − | 1.79997i | −0.435923 | − | 0.899984i | \(-0.643578\pi\) | ||
0.435923 | − | 0.899984i | \(-0.356422\pi\) | |||||||
\(660\) | −3.13305 | + | 9.16629i | −0.121954 | + | 0.356798i | ||||
\(661\) | − | 20.3644i | − | 0.792082i | −0.918233 | − | 0.396041i | \(-0.870384\pi\) | ||
0.918233 | − | 0.396041i | \(-0.129616\pi\) | |||||||
\(662\) | −1.46275 | + | 5.49894i | −0.0568513 | + | 0.213723i | ||||
\(663\) | − | 3.03151i | − | 0.117734i | ||||||
\(664\) | 21.1429 | + | 20.9140i | 0.820505 | + | 0.811620i | ||||
\(665\) | 4.72420 | − | 0.911585i | 0.183197 | − | 0.0353497i | ||||
\(666\) | −23.6758 | − | 6.29789i | −0.917419 | − | 0.244038i | ||||
\(667\) | 40.8071 | 1.58006 | ||||||||
\(668\) | 5.93060 | − | 10.3587i | 0.229462 | − | 0.400792i | ||||
\(669\) | − | 3.32858i | − | 0.128690i | ||||||
\(670\) | 17.1213 | + | 1.18956i | 0.661453 | + | 0.0459567i | ||||
\(671\) | −29.1542 | −1.12549 | ||||||||
\(672\) | −2.51143 | + | 0.697417i | −0.0968804 | + | 0.0269034i | ||||
\(673\) | 7.07374i | 0.272673i | 0.990663 | + | 0.136336i | \(0.0435328\pi\) | ||||
−0.990663 | + | 0.136336i | \(0.956467\pi\) | |||||||
\(674\) | −0.854624 | + | 3.21281i | −0.0329189 | + | 0.123753i | ||||
\(675\) | −12.3765 | + | 4.96106i | −0.476371 | + | 0.190951i | ||||
\(676\) | −21.1359 | − | 12.1007i | −0.812918 | − | 0.465413i | ||||
\(677\) | −6.92717 | −0.266233 | −0.133116 | − | 0.991100i | \(-0.542498\pi\) | ||||
−0.133116 | + | 0.991100i | \(0.542498\pi\) | |||||||
\(678\) | −2.28264 | + | 8.58117i | −0.0876641 | + | 0.329558i | ||||
\(679\) | −11.6450 | −0.446893 | ||||||||
\(680\) | 25.4997 | − | 38.1392i | 0.977869 | − | 1.46257i | ||||
\(681\) | 2.91029 | 0.111522 | ||||||||
\(682\) | 13.7208 | − | 51.5811i | 0.525398 | − | 1.97514i | ||||
\(683\) | −34.8750 | −1.33445 | −0.667227 | − | 0.744855i | \(-0.732519\pi\) | ||||
−0.667227 | + | 0.744855i | \(0.732519\pi\) | |||||||
\(684\) | −5.96055 | + | 10.4110i | −0.227907 | + | 0.398076i | ||||
\(685\) | 3.64965 | + | 18.9139i | 0.139446 | + | 0.722664i | ||||
\(686\) | 0.363546 | − | 1.36669i | 0.0138803 | − | 0.0521804i | ||||
\(687\) | − | 9.43215i | − | 0.359859i | ||||||
\(688\) | 18.8924 | + | 32.1808i | 0.720265 | + | 1.22688i | ||||
\(689\) | 4.49926 | 0.171408 | ||||||||
\(690\) | −0.595833 | + | 8.57580i | −0.0226830 | + | 0.326475i | ||||
\(691\) | 16.0227i | 0.609534i | 0.952427 | + | 0.304767i | \(0.0985785\pi\) | ||||
−0.952427 | + | 0.304767i | \(0.901421\pi\) | |||||||
\(692\) | −16.5513 | − | 9.47599i | −0.629187 | − | 0.360223i | ||||
\(693\) | 13.1051 | 0.497822 | ||||||||
\(694\) | −25.7730 | − | 6.85575i | −0.978329 | − | 0.260241i | ||||
\(695\) | 1.11516 | + | 5.77922i | 0.0423005 | + | 0.219218i | ||||
\(696\) | −6.33901 | + | 6.40841i | −0.240280 | + | 0.242910i | ||||
\(697\) | 45.1037i | 1.70842i | ||||||||
\(698\) | −13.3137 | + | 50.0505i | −0.503931 | + | 1.89444i | ||||
\(699\) | − | 5.81267i | − | 0.219855i | ||||||
\(700\) | 1.38289 | − | 9.90392i | 0.0522684 | − | 0.374333i | ||||
\(701\) | − | 18.2912i | − | 0.690848i | −0.938447 | − | 0.345424i | \(-0.887735\pi\) | ||
0.938447 | − | 0.345424i | \(-0.112265\pi\) | |||||||
\(702\) | 3.30564 | + | 0.879318i | 0.124763 | + | 0.0331877i | ||||
\(703\) | 13.3712i | 0.504306i | ||||||||
\(704\) | 37.6062 | − | 0.409454i | 1.41734 | − | 0.0154319i | ||||
\(705\) | −0.743655 | − | 3.85392i | −0.0280077 | − | 0.145147i | ||||
\(706\) | 1.54955 | − | 5.82527i | 0.0583181 | − | 0.219237i | ||||
\(707\) | 10.4414 | 0.392690 | ||||||||
\(708\) | −5.36738 | + | 9.37498i | −0.201718 | + | 0.352333i | ||||
\(709\) | 14.3639i | 0.539446i | 0.962938 | + | 0.269723i | \(0.0869321\pi\) | ||||
−0.962938 | + | 0.269723i | \(0.913068\pi\) | |||||||
\(710\) | 5.51318 | + | 0.383047i | 0.206906 | + | 0.0143755i | ||||
\(711\) | −22.4572 | −0.842212 | ||||||||
\(712\) | −23.1587 | − | 22.9079i | −0.867910 | − | 0.858512i | ||||
\(713\) | − | 47.3663i | − | 1.77388i | ||||||
\(714\) | 4.56799 | + | 1.21511i | 0.170953 | + | 0.0454743i | ||||
\(715\) | 1.80640 | + | 9.36150i | 0.0675556 | + | 0.350100i | ||||
\(716\) | −16.6460 | + | 29.0748i | −0.622089 | + | 1.08658i | ||||
\(717\) | 11.4056 | 0.425949 | ||||||||
\(718\) | −14.0748 | − | 3.74396i | −0.525266 | − | 0.139723i | ||||
\(719\) | 45.5549 | 1.69891 | 0.849456 | − | 0.527659i | \(-0.176930\pi\) | ||||
0.849456 | + | 0.527659i | \(0.176930\pi\) | |||||||
\(720\) | 16.4687 | + | 18.7212i | 0.613752 | + | 0.697698i | ||||
\(721\) | −0.974021 | −0.0362744 | ||||||||
\(722\) | −19.6396 | − | 5.22423i | −0.730909 | − | 0.194426i | ||||
\(723\) | 4.53559 | 0.168681 | ||||||||
\(724\) | −4.37694 | + | 7.64503i | −0.162668 | + | 0.284125i | ||||
\(725\) | −12.8672 | − | 32.1001i | −0.477876 | − | 1.19217i | ||||
\(726\) | 6.98980 | + | 1.85932i | 0.259416 | + | 0.0690060i | ||||
\(727\) | − | 36.7749i | − | 1.36390i | −0.731397 | − | 0.681952i | \(-0.761131\pi\) | ||
0.731397 | − | 0.681952i | \(-0.238869\pi\) | |||||||
\(728\) | −1.80408 | + | 1.82383i | −0.0668638 | + | 0.0675958i | ||||
\(729\) | −16.2022 | −0.600082 | ||||||||
\(730\) | −1.27734 | + | 18.3847i | −0.0472765 | + | 0.680449i | ||||
\(731\) | − | 67.6738i | − | 2.50301i | ||||||
\(732\) | 2.83950 | − | 4.95963i | 0.104951 | − | 0.183313i | ||||
\(733\) | 10.0181 | 0.370028 | 0.185014 | − | 0.982736i | \(-0.440767\pi\) | ||||
0.185014 | + | 0.982736i | \(0.440767\pi\) | |||||||
\(734\) | −7.86492 | + | 29.5668i | −0.290299 | + | 1.09133i | ||||
\(735\) | 1.01163 | − | 0.195206i | 0.0373147 | − | 0.00720026i | ||||
\(736\) | 32.1579 | − | 8.93016i | 1.18536 | − | 0.329170i | ||||
\(737\) | − | 25.5139i | − | 0.939817i | ||||||
\(738\) | −23.6891 | − | 6.30142i | −0.872006 | − | 0.231958i | ||||
\(739\) | − | 6.41780i | − | 0.236082i | −0.993009 | − | 0.118041i | \(-0.962339\pi\) | ||
0.993009 | − | 0.118041i | \(-0.0376615\pi\) | |||||||
\(740\) | 26.2973 | + | 8.98845i | 0.966709 | + | 0.330422i | ||||
\(741\) | − | 0.899212i | − | 0.0330334i | ||||||
\(742\) | −1.80342 | + | 6.77964i | −0.0662056 | + | 0.248888i | ||||
\(743\) | − | 19.0455i | − | 0.698712i | −0.936990 | − | 0.349356i | \(-0.886400\pi\) | ||
0.936990 | − | 0.349356i | \(-0.113600\pi\) | |||||||
\(744\) | 7.43848 | + | 7.35793i | 0.272708 | + | 0.269755i | ||||
\(745\) | 0.571540 | + | 2.96195i | 0.0209396 | + | 0.108518i | ||||
\(746\) | 2.18562 | + | 0.581386i | 0.0800212 | + | 0.0212861i | ||||
\(747\) | 29.3109 | 1.07243 | ||||||||
\(748\) | −59.1890 | − | 33.8870i | −2.16416 | − | 1.23903i | ||||
\(749\) | 3.56456i | 0.130246i | ||||||||
\(750\) | 6.93386 | − | 2.23540i | 0.253189 | − | 0.0816253i | ||||
\(751\) | 27.9139 | 1.01859 | 0.509296 | − | 0.860591i | \(-0.329906\pi\) | ||||
0.509296 | + | 0.860591i | \(0.329906\pi\) | |||||||
\(752\) | −13.1412 | + | 7.71478i | −0.479210 | + | 0.281329i | ||||
\(753\) | − | 2.62019i | − | 0.0954849i | ||||||
\(754\) | −2.28063 | + | 8.57363i | −0.0830557 | + | 0.312233i | ||||
\(755\) | −2.31335 | + | 0.446386i | −0.0841916 | + | 0.0162457i | ||||
\(756\) | −2.64997 | + | 4.62860i | −0.0963785 | + | 0.168340i | ||||
\(757\) | −39.2145 | −1.42528 | −0.712638 | − | 0.701532i | \(-0.752500\pi\) | ||||
−0.712638 | + | 0.701532i | \(0.752500\pi\) | |||||||
\(758\) | −3.51782 | + | 13.2246i | −0.127773 | + | 0.480341i | ||||
\(759\) | 12.7796 | 0.463868 | ||||||||
\(760\) | 7.56376 | − | 11.3129i | 0.274366 | − | 0.410362i | ||||
\(761\) | −19.8361 | −0.719057 | −0.359529 | − | 0.933134i | \(-0.617063\pi\) | ||||
−0.359529 | + | 0.933134i | \(0.617063\pi\) | |||||||
\(762\) | −1.52499 | + | 5.73294i | −0.0552446 | + | 0.207682i | ||||
\(763\) | −10.9852 | −0.397691 | ||||||||
\(764\) | 40.9997 | + | 23.4732i | 1.48332 | + | 0.849231i | ||||
\(765\) | −8.56722 | − | 44.3988i | −0.309749 | − | 1.60524i | ||||
\(766\) | 0.0720156 | − | 0.270730i | 0.00260203 | − | 0.00978187i | ||||
\(767\) | 10.6324i | 0.383913i | ||||||||
\(768\) | −3.59303 | + | 6.43734i | −0.129652 | + | 0.232288i | ||||
\(769\) | 11.4291 | 0.412144 | 0.206072 | − | 0.978537i | \(-0.433932\pi\) | ||||
0.206072 | + | 0.978537i | \(0.433932\pi\) | |||||||
\(770\) | −14.8303 | − | 1.03038i | −0.534446 | − | 0.0371325i | ||||
\(771\) | 4.54200i | 0.163576i | ||||||||
\(772\) | −16.8774 | + | 29.4791i | −0.607431 | + | 1.06097i | ||||
\(773\) | −49.5840 | −1.78341 | −0.891707 | − | 0.452614i | \(-0.850492\pi\) | ||||
−0.891707 | + | 0.452614i | \(0.850492\pi\) | |||||||
\(774\) | 35.5432 | + | 9.45469i | 1.27757 | + | 0.339842i | ||||
\(775\) | −37.2598 | + | 14.9354i | −1.33841 | + | 0.536497i | ||||
\(776\) | −23.1628 | + | 23.4164i | −0.831497 | + | 0.840600i | ||||
\(777\) | 2.86330i | 0.102720i | ||||||||
\(778\) | 10.1792 | − | 38.2669i | 0.364941 | − | 1.37193i | ||||
\(779\) | 13.3787i | 0.479342i | ||||||||
\(780\) | −1.76849 | − | 0.604471i | −0.0633221 | − | 0.0216435i | ||||
\(781\) | − | 8.21566i | − | 0.293980i | ||||||
\(782\) | −58.4914 | − | 15.5590i | −2.09165 | − | 0.556389i | ||||
\(783\) | 18.4448i | 0.659164i | ||||||||
\(784\) | −2.02509 | − | 3.44949i | −0.0723247 | − | 0.123196i | ||||
\(785\) | −15.1662 | + | 2.92648i | −0.541305 | + | 0.104451i | ||||
\(786\) | 0.594167 | − | 2.23367i | 0.0211932 | − | 0.0796722i | ||||
\(787\) | −21.3743 | −0.761911 | −0.380955 | − | 0.924593i | \(-0.624405\pi\) | ||||
−0.380955 | + | 0.924593i | \(0.624405\pi\) | |||||||
\(788\) | 12.3725 | + | 7.08354i | 0.440753 | + | 0.252341i | ||||
\(789\) | − | 2.21215i | − | 0.0787547i | ||||||
\(790\) | 25.4135 | + | 1.76569i | 0.904172 | + | 0.0628205i | ||||
\(791\) | −13.6270 | −0.484521 | ||||||||
\(792\) | 26.0672 | − | 26.3525i | 0.926256 | − | 0.936396i | ||||
\(793\) | − | 5.62483i | − | 0.199744i | ||||||
\(794\) | −12.5288 | − | 3.33273i | −0.444631 | − | 0.118274i | ||||
\(795\) | −5.01835 | + | 0.968343i | −0.177982 | + | 0.0343436i | ||||
\(796\) | −13.1905 | − | 7.55185i | −0.467526 | − | 0.267668i | ||||
\(797\) | 20.4572 | 0.724630 | 0.362315 | − | 0.932056i | \(-0.381986\pi\) | ||||
0.362315 | + | 0.932056i | \(0.381986\pi\) | |||||||
\(798\) | 1.35496 | + | 0.360427i | 0.0479652 | + | 0.0127590i | ||||
\(799\) | 27.6349 | 0.977653 | ||||||||
\(800\) | −17.1647 | − | 22.4805i | −0.606863 | − | 0.794806i | ||||
\(801\) | −32.1055 | −1.13439 | ||||||||
\(802\) | 35.3821 | + | 9.41182i | 1.24938 | + | 0.332343i | ||||
\(803\) | 27.3967 | 0.966808 | ||||||||
\(804\) | 4.34036 | + | 2.48495i | 0.153073 | + | 0.0876373i | ||||
\(805\) | −12.9536 | + | 2.49953i | −0.456554 | + | 0.0880970i | ||||
\(806\) | 9.95174 | + | 2.64722i | 0.350535 | + | 0.0932442i | ||||
\(807\) | − | 11.2115i | − | 0.394662i | ||||||
\(808\) | 20.7689 | − | 20.9962i | 0.730646 | − | 0.738645i | ||||
\(809\) | −34.2917 | −1.20563 | −0.602816 | − | 0.797881i | \(-0.705955\pi\) | ||||
−0.602816 | + | 0.797881i | \(0.705955\pi\) | |||||||
\(810\) | 22.5066 | + | 1.56372i | 0.790800 | + | 0.0549435i | ||||
\(811\) | 36.9434i | 1.29726i | 0.761104 | + | 0.648630i | \(0.224658\pi\) | ||||
−0.761104 | + | 0.648630i | \(0.775342\pi\) | |||||||
\(812\) | −12.0049 | − | 6.87307i | −0.421290 | − | 0.241197i | ||||
\(813\) | −10.0252 | −0.351598 | ||||||||
\(814\) | 10.6205 | − | 39.9258i | 0.372248 | − | 1.39940i | ||||
\(815\) | −8.36860 | + | 1.61481i | −0.293139 | + | 0.0565644i | ||||
\(816\) | 11.5295 | − | 6.76862i | 0.403614 | − | 0.236949i | ||||
\(817\) | − | 20.0735i | − | 0.702284i | ||||||
\(818\) | 3.20410 | + | 0.852307i | 0.112029 | + | 0.0298002i | ||||
\(819\) | 2.52842i | 0.0883502i | ||||||||
\(820\) | 26.3121 | + | 8.99348i | 0.918857 | + | 0.314066i | ||||
\(821\) | − | 25.4645i | − | 0.888718i | −0.895849 | − | 0.444359i | \(-0.853432\pi\) | ||
0.895849 | − | 0.444359i | \(-0.146568\pi\) | |||||||
\(822\) | −1.44302 | + | 5.42477i | −0.0503310 | + | 0.189211i | ||||
\(823\) | 24.8734i | 0.867032i | 0.901146 | + | 0.433516i | \(0.142727\pi\) | ||||
−0.901146 | + | 0.433516i | \(0.857273\pi\) | |||||||
\(824\) | −1.93741 | + | 1.95862i | −0.0674928 | + | 0.0682317i | ||||
\(825\) | −4.02962 | − | 10.0528i | −0.140293 | − | 0.349993i | ||||
\(826\) | −16.0212 | − | 4.26173i | −0.557450 | − | 0.148285i | ||||
\(827\) | 4.26715 | 0.148383 | 0.0741917 | − | 0.997244i | \(-0.476362\pi\) | ||||
0.0741917 | + | 0.997244i | \(0.476362\pi\) | |||||||
\(828\) | 16.3436 | − | 28.5467i | 0.567980 | − | 0.992067i | ||||
\(829\) | 30.6203i | 1.06349i | 0.846906 | + | 0.531743i | \(0.178463\pi\) | ||||
−0.846906 | + | 0.531743i | \(0.821537\pi\) | |||||||
\(830\) | −33.1695 | − | 2.30456i | −1.15133 | − | 0.0799925i | ||||
\(831\) | −5.09937 | −0.176895 | ||||||||
\(832\) | 0.0789975 | + | 7.25551i | 0.00273875 | + | 0.251540i | ||||
\(833\) | 7.25402i | 0.251337i | ||||||||
\(834\) | −0.440919 | + | 1.65756i | −0.0152678 | + | 0.0573965i | ||||
\(835\) | 2.52846 | + | 13.1035i | 0.0875009 | + | 0.453465i | ||||
\(836\) | −17.5567 | − | 10.0516i | −0.607212 | − | 0.347642i | ||||
\(837\) | 21.4096 | 0.740024 | ||||||||
\(838\) | 7.48532 | − | 28.1398i | 0.258576 | − | 0.972072i | ||||
\(839\) | −18.2282 | −0.629308 | −0.314654 | − | 0.949206i | \(-0.601888\pi\) | ||||
−0.314654 | + | 0.949206i | \(0.601888\pi\) | |||||||
\(840\) | 1.61969 | − | 2.42253i | 0.0558847 | − | 0.0835853i | ||||
\(841\) | −18.8392 | −0.649628 | ||||||||
\(842\) | 0.817727 | − | 3.07410i | 0.0281807 | − | 0.105940i | ||||
\(843\) | 3.43978 | 0.118472 | ||||||||
\(844\) | 12.4745 | − | 21.7888i | 0.429391 | − | 0.750000i | ||||
\(845\) | 26.7362 | − | 5.15904i | 0.919754 | − | 0.177476i | ||||
\(846\) | −3.86086 | + | 14.5142i | −0.132739 | + | 0.499010i | ||||
\(847\) | 11.0999i | 0.381397i | ||||||||
\(848\) | 10.0457 | + | 17.1117i | 0.344972 | + | 0.587618i | ||||
\(849\) | 5.94685 | 0.204095 | ||||||||
\(850\) | 6.20418 | + | 50.9171i | 0.212801 | + | 1.74644i | ||||
\(851\) | − | 36.6635i | − | 1.25681i | ||||||
\(852\) | 1.39763 | + | 0.800171i | 0.0478819 | + | 0.0274134i | ||||
\(853\) | 55.5473 | 1.90190 | 0.950951 | − | 0.309340i | \(-0.100108\pi\) | ||||
0.950951 | + | 0.309340i | \(0.100108\pi\) | |||||||
\(854\) | 8.47569 | + | 2.25458i | 0.290032 | + | 0.0771501i | ||||
\(855\) | −2.54122 | − | 13.1696i | −0.0869080 | − | 0.450392i | ||||
\(856\) | 7.16783 | + | 7.09021i | 0.244991 | + | 0.242338i | ||||
\(857\) | 18.4129i | 0.628974i | 0.949262 | + | 0.314487i | \(0.101832\pi\) | ||||
−0.949262 | + | 0.314487i | \(0.898168\pi\) | |||||||
\(858\) | −0.714225 | + | 2.68500i | −0.0243832 | + | 0.0916645i | ||||
\(859\) | − | 54.3135i | − | 1.85315i | −0.376108 | − | 0.926576i | \(-0.622738\pi\) | ||
0.376108 | − | 0.926576i | \(-0.377262\pi\) | |||||||
\(860\) | −39.4788 | − | 13.4939i | −1.34622 | − | 0.460137i | ||||
\(861\) | 2.86490i | 0.0976356i | ||||||||
\(862\) | 2.98088 | + | 0.792930i | 0.101529 | + | 0.0270073i | ||||
\(863\) | − | 54.3942i | − | 1.85160i | −0.378012 | − | 0.925801i | \(-0.623392\pi\) | ||
0.378012 | − | 0.925801i | \(-0.376608\pi\) | |||||||
\(864\) | 4.03644 | + | 14.5354i | 0.137322 | + | 0.494504i | ||||
\(865\) | 20.9369 | − | 4.04000i | 0.711876 | − | 0.137364i | ||||
\(866\) | −2.55646 | + | 9.61054i | −0.0868719 | + | 0.326580i | ||||
\(867\) | −16.4127 | −0.557406 | ||||||||
\(868\) | −7.97783 | + | 13.9345i | −0.270785 | + | 0.472969i | ||||
\(869\) | − | 37.8709i | − | 1.28468i | ||||||
\(870\) | 0.698511 | − | 10.0536i | 0.0236817 | − | 0.340850i | ||||
\(871\) | 4.92250 | 0.166792 | ||||||||
\(872\) | −21.8505 | + | 22.0897i | −0.739950 | + | 0.748050i | ||||
\(873\) | 32.4627i | 1.09870i | ||||||||
\(874\) | −17.3498 | − | 4.61514i | −0.586866 | − | 0.156109i | ||||
\(875\) | 6.05071 | + | 9.40154i | 0.204551 | + | 0.317830i | ||||
\(876\) | −2.66832 | + | 4.66065i | −0.0901542 | + | 0.157469i | ||||
\(877\) | 42.2117 | 1.42539 | 0.712694 | − | 0.701475i | \(-0.247475\pi\) | ||||
0.712694 | + | 0.701475i | \(0.247475\pi\) | |||||||
\(878\) | −7.55277 | − | 2.00908i | −0.254894 | − | 0.0678030i | ||||
\(879\) | −7.64775 | −0.257952 | ||||||||
\(880\) | −31.5706 | + | 27.7721i | −1.06425 | + | 0.936196i | ||||
\(881\) | −11.6420 | −0.392230 | −0.196115 | − | 0.980581i | \(-0.562833\pi\) | ||||
−0.196115 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(882\) | −3.80991 | − | 1.01346i | −0.128286 | − | 0.0341249i | ||||
\(883\) | −47.4507 | −1.59684 | −0.798421 | − | 0.602099i | \(-0.794331\pi\) | ||||
−0.798421 | + | 0.602099i | \(0.794331\pi\) | |||||||
\(884\) | 6.53794 | − | 11.4196i | 0.219895 | − | 0.384081i | ||||
\(885\) | −2.28833 | − | 11.8591i | −0.0769214 | − | 0.398638i | ||||
\(886\) | −21.9390 | − | 5.83588i | −0.737054 | − | 0.196060i | ||||
\(887\) | − | 48.2129i | − | 1.61883i | −0.587236 | − | 0.809416i | \(-0.699784\pi\) | ||
0.587236 | − | 0.809416i | \(-0.300216\pi\) | |||||||
\(888\) | 5.75768 | + | 5.69534i | 0.193215 | + | 0.191123i | ||||
\(889\) | −9.10398 | −0.305338 | ||||||||
\(890\) | 36.3319 | + | 2.52428i | 1.21785 | + | 0.0846141i | ||||
\(891\) | − | 33.5390i | − | 1.12360i | ||||||
\(892\) | 7.17861 | − | 12.5386i | 0.240358 | − | 0.419823i | ||||
\(893\) | 8.19711 | 0.274306 | ||||||||
\(894\) | −0.225979 | + | 0.849527i | −0.00755786 | + | 0.0284124i | ||||
\(895\) | −7.09685 | − | 36.7788i | −0.237222 | − | 1.22938i | ||||
\(896\) | −10.9645 | − | 2.78916i | −0.366299 | − | 0.0931793i | ||||
\(897\) | 2.46561i | 0.0823243i | ||||||||
\(898\) | −48.9189 | − | 13.0127i | −1.63244 | − | 0.434239i | ||||
\(899\) | 55.5288i | 1.85199i | ||||||||
\(900\) | −27.6091 | − | 3.85509i | −0.920305 | − | 0.128503i | ||||
\(901\) | − | 35.9846i | − | 1.19882i | ||||||
\(902\) | 10.6264 | − | 39.9482i | 0.353821 | − | 1.33013i | ||||
\(903\) | − | 4.29852i | − | 0.143046i | ||||||
\(904\) | −27.1053 | + | 27.4020i | −0.901507 | + | 0.911376i | ||||
\(905\) | −1.86607 | − | 9.67073i | −0.0620302 | − | 0.321466i | ||||
\(906\) | −0.663501 | − | 0.176495i | −0.0220433 | − | 0.00586364i | ||||
\(907\) | −20.0205 | −0.664770 | −0.332385 | − | 0.943144i | \(-0.607853\pi\) | ||||
−0.332385 | + | 0.943144i | \(0.607853\pi\) | |||||||
\(908\) | 10.9629 | + | 6.27650i | 0.363817 | + | 0.208293i | ||||
\(909\) | − | 29.1076i | − | 0.965437i | ||||||
\(910\) | 0.198796 | − | 2.86126i | 0.00659003 | − | 0.0948500i | ||||
\(911\) | −27.8697 | −0.923365 | −0.461682 | − | 0.887045i | \(-0.652754\pi\) | ||||
−0.461682 | + | 0.887045i | \(0.652754\pi\) | |||||||
\(912\) | 3.41990 | − | 2.00772i | 0.113244 | − | 0.0664822i | ||||
\(913\) | 49.4287i | 1.63585i | ||||||||
\(914\) | 3.82375 | − | 14.3747i | 0.126478 | − | 0.475473i | ||||
\(915\) | 1.21059 | + | 6.27378i | 0.0400210 | + | 0.207405i | ||||
\(916\) | 20.3420 | − | 35.5305i | 0.672117 | − | 1.17396i | ||||
\(917\) | 3.54709 | 0.117135 | ||||||||
\(918\) | 7.03268 | − | 26.4381i | 0.232113 | − | 0.872588i | ||||
\(919\) | −30.5251 | −1.00693 | −0.503465 | − | 0.864016i | \(-0.667942\pi\) | ||||
−0.503465 | + | 0.864016i | \(0.667942\pi\) | |||||||
\(920\) | −20.7396 | + | 31.0196i | −0.683763 | + | 1.02269i | ||||
\(921\) | 10.3630 | 0.341472 | ||||||||
\(922\) | −1.26719 | + | 4.76377i | −0.0417326 | + | 0.156886i | ||||
\(923\) | 1.58508 | 0.0521736 | ||||||||
\(924\) | −3.75957 | − | 2.15244i | −0.123681 | − | 0.0708100i | ||||
\(925\) | −28.8406 | + | 11.5606i | −0.948272 | + | 0.380111i | ||||
\(926\) | 6.20378 | − | 23.3220i | 0.203869 | − | 0.766409i | ||||
\(927\) | 2.71528i | 0.0891814i | ||||||||
\(928\) | −37.6995 | + | 10.4691i | −1.23755 | + | 0.343664i | ||||
\(929\) | 9.09643 | 0.298444 | 0.149222 | − | 0.988804i | \(-0.452323\pi\) | ||||
0.149222 | + | 0.988804i | \(0.452323\pi\) | |||||||
\(930\) | −11.6696 | − | 0.810788i | −0.382662 | − | 0.0265868i | ||||
\(931\) | 2.15170i | 0.0705191i | ||||||||
\(932\) | 12.5360 | − | 21.8960i | 0.410629 | − | 0.717229i | ||||
\(933\) | −6.23976 | −0.204281 | ||||||||
\(934\) | −27.7201 | − | 7.37370i | −0.907030 | − | 0.241275i | ||||
\(935\) | 74.8722 | − | 14.4474i | 2.44858 | − | 0.472480i | ||||
\(936\) | 5.08430 | + | 5.02924i | 0.166185 | + | 0.164386i | ||||
\(937\) | 23.6954i | 0.774095i | 0.922060 | + | 0.387047i | \(0.126505\pi\) | ||||
−0.922060 | + | 0.387047i | \(0.873495\pi\) | |||||||
\(938\) | −1.97306 | + | 7.41739i | −0.0644228 | + | 0.242186i | ||||
\(939\) | 3.85301i | 0.125738i | ||||||||
\(940\) | 5.51029 | − | 16.1213i | 0.179726 | − | 0.525820i | ||||
\(941\) | − | 21.8195i | − | 0.711294i | −0.934620 | − | 0.355647i | \(-0.884261\pi\) | ||
0.934620 | − | 0.355647i | \(-0.115739\pi\) | |||||||
\(942\) | −4.34987 | − | 1.15709i | −0.141726 | − | 0.0377000i | ||||
\(943\) | − | 36.6840i | − | 1.19460i | ||||||
\(944\) | −40.4373 | + | 23.7395i | −1.31612 | + | 0.772654i | ||||
\(945\) | −1.12979 | − | 5.85503i | −0.0367521 | − | 0.190464i | ||||
\(946\) | −15.9440 | + | 59.9385i | −0.518383 | + | 1.94877i | ||||
\(947\) | −48.8564 | −1.58762 | −0.793809 | − | 0.608167i | \(-0.791905\pi\) | ||||
−0.793809 | + | 0.608167i | \(0.791905\pi\) | |||||||
\(948\) | 6.44249 | + | 3.68846i | 0.209242 | + | 0.119796i | ||||
\(949\) | 5.28575i | 0.171583i | ||||||||
\(950\) | 1.84029 | + | 15.1031i | 0.0597070 | + | 0.490010i | ||||
\(951\) | −4.40115 | −0.142717 | ||||||||
\(952\) | 14.5868 | + | 14.4289i | 0.472761 | + | 0.467642i | ||||
\(953\) | 9.57502i | 0.310165i | 0.987901 | + | 0.155083i | \(0.0495644\pi\) | ||||
−0.987901 | + | 0.155083i | \(0.950436\pi\) | |||||||
\(954\) | 18.8996 | + | 5.02739i | 0.611897 | + | 0.162768i | ||||
\(955\) | −51.8634 | + | 10.0076i | −1.67826 | + | 0.323838i | ||||
\(956\) | 42.9643 | + | 24.5980i | 1.38956 | + | 0.795555i | ||||
\(957\) | −14.9818 | −0.484293 | ||||||||
\(958\) | 40.1943 | + | 10.6919i | 1.29862 | + | 0.345439i | ||||
\(959\) | −8.61460 | −0.278180 | ||||||||
\(960\) | −1.64966 | − | 8.07559i | −0.0532427 | − | 0.260639i | ||||
\(961\) | 33.4544 | 1.07917 | ||||||||
\(962\) | 7.70305 | + | 2.04905i | 0.248356 | + | 0.0660641i | ||||
\(963\) | 9.93693 | 0.320213 | ||||||||
\(964\) | 17.0854 | + | 9.78174i | 0.550282 | + | 0.315048i | ||||
\(965\) | −7.19552 | − | 37.2901i | −0.231632 | − | 1.20041i | ||||
\(966\) | −3.71526 | − | 0.988280i | −0.119537 | − | 0.0317974i | ||||
\(967\) | 47.6790i | 1.53325i | 0.642094 | + | 0.766626i | \(0.278066\pi\) | ||||
−0.642094 | + | 0.766626i | \(0.721934\pi\) | |||||||
\(968\) | 22.3203 | + | 22.0786i | 0.717402 | + | 0.709634i | ||||
\(969\) | −7.19179 | −0.231034 | ||||||||
\(970\) | 2.55237 | − | 36.7361i | 0.0819516 | − | 1.17953i | ||||
\(971\) | 10.4524i | 0.335435i | 0.985835 | + | 0.167717i | \(0.0536396\pi\) | ||||
−0.985835 | + | 0.167717i | \(0.946360\pi\) | |||||||
\(972\) | 19.5914 | + | 11.2165i | 0.628393 | + | 0.359768i | ||||
\(973\) | −2.63222 | −0.0843851 | ||||||||
\(974\) | 2.99630 | − | 11.2641i | 0.0960077 | − | 0.360924i | ||||
\(975\) | 1.93952 | − | 0.777450i | 0.0621144 | − | 0.0248983i | ||||
\(976\) | 21.3925 | − | 12.5589i | 0.684757 | − | 0.402000i | ||||
\(977\) | − | 51.6435i | − | 1.65222i | −0.563507 | − | 0.826111i | \(-0.690548\pi\) | ||
0.563507 | − | 0.826111i | \(-0.309452\pi\) | |||||||
\(978\) | −2.40023 | − | 0.638473i | −0.0767508 | − | 0.0204161i | ||||
\(979\) | − | 54.1413i | − | 1.73036i | ||||||
\(980\) | 4.23177 | + | 1.44642i | 0.135179 | + | 0.0462042i | ||||
\(981\) | 30.6234i | 0.977730i | ||||||||
\(982\) | 5.01010 | − | 18.8346i | 0.159879 | − | 0.601036i | ||||
\(983\) | − | 32.3755i | − | 1.03262i | −0.856403 | − | 0.516308i | \(-0.827306\pi\) | ||
0.856403 | − | 0.516308i | \(-0.172694\pi\) | |||||||
\(984\) | 5.76091 | + | 5.69853i | 0.183651 | + | 0.181662i | ||||
\(985\) | −15.6509 | + | 3.02000i | −0.498678 | + | 0.0962253i | ||||
\(986\) | 68.5709 | + | 18.2402i | 2.18374 | + | 0.580887i | ||||
\(987\) | 1.75532 | 0.0558724 | ||||||||
\(988\) | 1.93930 | − | 3.38729i | 0.0616972 | − | 0.107764i | ||||
\(989\) | 55.0409i | 1.75020i | ||||||||
\(990\) | −2.87240 | + | 41.3424i | −0.0912909 | + | 1.31395i | ||||
\(991\) | 19.5212 | 0.620110 | 0.310055 | − | 0.950719i | \(-0.399653\pi\) | ||||
0.310055 | + | 0.950719i | \(0.399653\pi\) | |||||||
\(992\) | 12.1518 | + | 43.7593i | 0.385821 | + | 1.38936i | ||||
\(993\) | − | 1.85390i | − | 0.0588318i | ||||||
\(994\) | −0.635341 | + | 2.38845i | −0.0201518 | + | 0.0757571i | ||||
\(995\) | 16.6856 | − | 3.21966i | 0.528969 | − | 0.102070i | ||||
\(996\) | −8.40868 | − | 4.81415i | −0.266439 | − | 0.152542i | ||||
\(997\) | 9.19720 | 0.291278 | 0.145639 | − | 0.989338i | \(-0.453476\pi\) | ||||
0.145639 | + | 0.989338i | \(0.453476\pi\) | |||||||
\(998\) | 3.34386 | − | 12.5707i | 0.105848 | − | 0.397917i | ||||
\(999\) | 16.5719 | 0.524312 |
(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 | 280.2.l.a.29.5 | ✓ | 36 | |
4.3 | odd | 2 | 1120.2.l.a.1009.13 | 36 | |||
5.4 | even | 2 | inner | 280.2.l.a.29.32 | yes | 36 | |
8.3 | odd | 2 | 1120.2.l.a.1009.24 | 36 | |||
8.5 | even | 2 | inner | 280.2.l.a.29.31 | yes | 36 | |
20.19 | odd | 2 | 1120.2.l.a.1009.23 | 36 | |||
40.19 | odd | 2 | 1120.2.l.a.1009.14 | 36 | |||
40.29 | even | 2 | inner | 280.2.l.a.29.6 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.l.a.29.5 | ✓ | 36 | 1.1 | even | 1 | trivial | |
280.2.l.a.29.6 | yes | 36 | 40.29 | even | 2 | inner | |
280.2.l.a.29.31 | yes | 36 | 8.5 | even | 2 | inner | |
280.2.l.a.29.32 | yes | 36 | 5.4 | even | 2 | inner | |
1120.2.l.a.1009.13 | 36 | 4.3 | odd | 2 | |||
1120.2.l.a.1009.14 | 36 | 40.19 | odd | 2 | |||
1120.2.l.a.1009.23 | 36 | 20.19 | odd | 2 | |||
1120.2.l.a.1009.24 | 36 | 8.3 | odd | 2 |