Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [684,2,Mod(35,684)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(684, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("684.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 684 = 2^{2} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 684.ce (of order \(18\), degree \(6\), 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: | \(5.46176749826\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 575.10 | ||
Character | \(\chi\) | \(=\) | 684.575 |
Dual form | 684.2.ce.a.251.10 |
$q$-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 \(\left(\mathbb{Z}/684\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(343\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965713 | + | 1.03315i | −0.682862 | + | 0.730547i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.134799 | − | 1.99545i | −0.0673993 | − | 0.997726i | ||||
\(5\) | −1.43514 | + | 1.71034i | −0.641816 | + | 0.764886i | −0.984656 | − | 0.174508i | \(-0.944167\pi\) |
0.342840 | + | 0.939394i | \(0.388611\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.02185 | + | 2.32202i | −1.52012 | + | 0.877640i | −0.520397 | + | 0.853924i | \(0.674216\pi\) |
−0.999719 | + | 0.0237154i | \(0.992450\pi\) | |||||||
\(8\) | 2.19178 | + | 1.78777i | 0.774911 | + | 0.632071i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.381099 | − | 3.13441i | −0.120514 | − | 0.991188i | ||||
\(11\) | 0.536161 | − | 0.928658i | 0.161659 | − | 0.280001i | −0.773805 | − | 0.633424i | \(-0.781649\pi\) |
0.935464 | + | 0.353423i | \(0.114982\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.05836 | − | 6.00224i | −0.293535 | − | 1.66472i | −0.673097 | − | 0.739555i | \(-0.735036\pi\) |
0.379561 | − | 0.925167i | \(-0.376075\pi\) | |||||||
\(14\) | 1.48496 | − | 6.39757i | 0.396872 | − | 1.70982i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.96366 | + | 0.537968i | −0.990915 | + | 0.134492i | ||||
\(17\) | 1.77847 | + | 4.88630i | 0.431341 | + | 1.18510i | 0.944990 | + | 0.327100i | \(0.106071\pi\) |
−0.513648 | + | 0.858001i | \(0.671706\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0924188 | − | 4.35792i | 0.0212023 | − | 0.999775i | ||||
\(20\) | 3.60635 | + | 2.63321i | 0.806405 | + | 0.588803i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.441666 | + | 1.45075i | 0.0941635 | + | 0.309301i | ||||
\(23\) | −1.58786 | + | 1.33238i | −0.331092 | + | 0.277819i | −0.793145 | − | 0.609033i | \(-0.791558\pi\) |
0.462052 | + | 0.886853i | \(0.347113\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.00262386 | + | 0.0148807i | 0.000524772 | + | 0.00297613i | ||||
\(26\) | 7.22328 | + | 4.70300i | 1.41660 | + | 0.922333i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.17561 | + | 7.71240i | 0.978099 | + | 1.45751i | ||||
\(29\) | 2.09106 | − | 5.74513i | 0.388300 | − | 1.06684i | −0.579467 | − | 0.814996i | \(-0.696739\pi\) |
0.967767 | − | 0.251849i | \(-0.0810386\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.31415 | − | 4.22283i | 1.31366 | − | 0.758442i | 0.330960 | − | 0.943645i | \(-0.392627\pi\) |
0.982700 | + | 0.185202i | \(0.0592941\pi\) | |||||||
\(32\) | 3.27195 | − | 4.61458i | 0.578405 | − | 0.815750i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.76576 | − | 2.88133i | −1.16032 | − | 0.494145i | ||||
\(35\) | 1.80050 | − | 10.2111i | 0.304340 | − | 1.72600i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.855354 | −0.140619 | −0.0703097 | − | 0.997525i | \(-0.522399\pi\) | ||||
−0.0703097 | + | 0.997525i | \(0.522399\pi\) | |||||||
\(38\) | 4.41313 | + | 4.30398i | 0.715905 | + | 0.698198i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.20320 | + | 1.18298i | −0.980812 | + | 0.187046i | ||||
\(41\) | −3.14767 | − | 0.555019i | −0.491583 | − | 0.0866794i | −0.0776389 | − | 0.996982i | \(-0.524738\pi\) |
−0.413944 | + | 0.910302i | \(0.635849\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.281613 | − | 0.335613i | 0.0429455 | − | 0.0511805i | −0.744144 | − | 0.668019i | \(-0.767142\pi\) |
0.787090 | + | 0.616839i | \(0.211587\pi\) | |||||||
\(44\) | −1.92537 | − | 0.944702i | −0.290260 | − | 0.142419i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.156876 | − | 2.92719i | 0.0231300 | − | 0.431591i | ||||
\(47\) | −7.05503 | − | 2.56782i | −1.02908 | − | 0.374555i | −0.228351 | − | 0.973579i | \(-0.573333\pi\) |
−0.800731 | + | 0.599024i | \(0.795555\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.28352 | − | 12.6154i | 1.04050 | − | 1.80220i | ||||
\(50\) | −0.0179078 | − | 0.0116596i | −0.00253255 | − | 0.00164891i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −11.8345 | + | 2.92099i | −1.64115 | + | 0.405069i | ||||
\(53\) | −8.37829 | − | 9.98486i | −1.15085 | − | 1.37153i | −0.916823 | − | 0.399295i | \(-0.869255\pi\) |
−0.234024 | − | 0.972231i | \(-0.575189\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.818851 | + | 2.24977i | 0.110414 | + | 0.303359i | ||||
\(56\) | −12.9662 | − | 2.10078i | −1.73268 | − | 0.280729i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.91623 | + | 7.70853i | 0.514226 | + | 1.01218i | ||||
\(59\) | 11.3491 | − | 4.13074i | 1.47753 | − | 0.537777i | 0.527396 | − | 0.849620i | \(-0.323168\pi\) |
0.950134 | + | 0.311843i | \(0.100946\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.109574 | − | 0.0919436i | 0.0140295 | − | 0.0117722i | −0.635746 | − | 0.771898i | \(-0.719307\pi\) |
0.649775 | + | 0.760126i | \(0.274863\pi\) | |||||||
\(62\) | −2.70055 | + | 11.6347i | −0.342971 | + | 1.47760i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.60779 | + | 7.83677i | 0.200973 | + | 0.979597i | ||||
\(65\) | 11.7847 | + | 6.80392i | 1.46172 | + | 0.843923i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0969723 | + | 0.266429i | −0.0118471 | + | 0.0325495i | −0.945475 | − | 0.325694i | \(-0.894402\pi\) |
0.933628 | + | 0.358244i | \(0.116624\pi\) | |||||||
\(68\) | 9.51063 | − | 4.20751i | 1.15333 | − | 0.510235i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.81088 | + | 11.7212i | 1.05310 | + | 1.40095i | ||||
\(71\) | −3.16455 | − | 2.65538i | −0.375563 | − | 0.315135i | 0.435394 | − | 0.900240i | \(-0.356609\pi\) |
−0.810958 | + | 0.585105i | \(0.801053\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.33242 | − | 13.2278i | 0.272989 | − | 1.54820i | −0.472289 | − | 0.881444i | \(-0.656572\pi\) |
0.745278 | − | 0.666754i | \(-0.232317\pi\) | |||||||
\(74\) | 0.826026 | − | 0.883709i | 0.0960236 | − | 0.102729i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.70848 | + | 0.403024i | −0.998931 | + | 0.0462300i | ||||
\(77\) | 4.97990i | 0.567512i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.33062 | + | 0.939933i | 0.599742 | + | 0.105751i | 0.465273 | − | 0.885167i | \(-0.345956\pi\) |
0.134469 | + | 0.990918i | \(0.457067\pi\) | |||||||
\(80\) | 4.76831 | − | 7.55125i | 0.533113 | − | 0.844256i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.61316 | − | 2.71603i | 0.399007 | − | 0.299935i | ||||
\(83\) | 6.42814 | + | 11.1339i | 0.705580 | + | 1.22210i | 0.966482 | + | 0.256734i | \(0.0826466\pi\) |
−0.260902 | + | 0.965365i | \(0.584020\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.9096 | − | 3.97076i | −1.18331 | − | 0.430689i | ||||
\(86\) | 0.0747817 | + | 0.615054i | 0.00806392 | + | 0.0663230i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.83537 | − | 1.07688i | 0.302251 | − | 0.114796i | ||||
\(89\) | −13.2855 | + | 2.34260i | −1.40826 | + | 0.248315i | −0.825535 | − | 0.564352i | \(-0.809126\pi\) |
−0.582729 | + | 0.812667i | \(0.698015\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 18.1938 | + | 21.6826i | 1.90723 | + | 2.27295i | ||||
\(92\) | 2.87273 | + | 2.98890i | 0.299503 | + | 0.311615i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.46607 | − | 4.80913i | 0.976351 | − | 0.496024i | ||||
\(95\) | 7.32088 | + | 6.41231i | 0.751106 | + | 0.657889i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.04180 | + | 1.47109i | −0.410382 | + | 0.149367i | −0.538958 | − | 0.842333i | \(-0.681182\pi\) |
0.128576 | + | 0.991700i | \(0.458960\pi\) | |||||||
\(98\) | 5.99984 | + | 19.7078i | 0.606075 | + | 1.99079i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0293399 | − | 0.00724168i | 0.00293399 | − | 0.000724168i | ||||
\(101\) | −4.83726 | + | 0.852939i | −0.481325 | + | 0.0848706i | −0.409046 | − | 0.912514i | \(-0.634138\pi\) |
−0.0722793 | + | 0.997384i | \(0.523027\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.3746 | − | 5.98981i | −1.02224 | − | 0.590193i | −0.107491 | − | 0.994206i | \(-0.534282\pi\) |
−0.914753 | + | 0.404013i | \(0.867615\pi\) | |||||||
\(104\) | 8.41091 | − | 15.0477i | 0.824758 | − | 1.47555i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 18.4069 | + | 0.986470i | 1.78783 | + | 0.0958144i | ||||
\(107\) | 2.03872 | + | 3.53116i | 0.197090 | + | 0.341370i | 0.947584 | − | 0.319507i | \(-0.103517\pi\) |
−0.750493 | + | 0.660878i | \(0.770184\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.78890 | − | 6.53566i | −0.746041 | − | 0.626003i | 0.188412 | − | 0.982090i | \(-0.439666\pi\) |
−0.934453 | + | 0.356087i | \(0.884111\pi\) | |||||||
\(110\) | −3.11513 | − | 1.32664i | −0.297016 | − | 0.126490i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 14.6921 | − | 11.3673i | 1.38827 | − | 1.07411i | ||||
\(113\) | 4.51368i | 0.424612i | 0.977203 | + | 0.212306i | \(0.0680973\pi\) | ||||
−0.977203 | + | 0.212306i | \(0.931903\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 4.62793i | − | 0.431557i | ||||||
\(116\) | −11.7460 | − | 3.39817i | −1.09059 | − | 0.315512i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.69231 | + | 15.7145i | −0.616077 | + | 1.44663i | ||||
\(119\) | −18.4988 | − | 15.5223i | −1.69578 | − | 1.42293i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.92506 | + | 8.53046i | 0.447733 | + | 0.775496i | ||||
\(122\) | −0.0108256 | + | 0.201998i | −0.000980099 | + | 0.0182880i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.41239 | − | 14.0258i | −0.845257 | − | 1.25955i | ||||
\(125\) | −9.69703 | − | 5.59858i | −0.867329 | − | 0.500753i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.174744 | + | 0.0308120i | −0.0155060 | + | 0.00273413i | −0.181396 | − | 0.983410i | \(-0.558062\pi\) |
0.165890 | + | 0.986144i | \(0.446950\pi\) | |||||||
\(128\) | −9.64922 | − | 5.90699i | −0.852879 | − | 0.522109i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −18.4102 | + | 5.60477i | −1.61468 | + | 0.491571i | ||||
\(131\) | −0.901495 | + | 0.328117i | −0.0787640 | + | 0.0286677i | −0.381102 | − | 0.924533i | \(-0.624455\pi\) |
0.302338 | + | 0.953201i | \(0.402233\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.74746 | + | 17.7415i | 0.845212 | + | 1.53838i | ||||
\(134\) | −0.181614 | − | 0.357481i | −0.0156891 | − | 0.0308817i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.83755 | + | 13.8892i | −0.414816 | + | 1.19099i | ||||
\(137\) | −5.71328 | − | 6.80882i | −0.488118 | − | 0.581716i | 0.464620 | − | 0.885510i | \(-0.346191\pi\) |
−0.952738 | + | 0.303794i | \(0.901747\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.13792 | + | 0.200646i | −0.0965172 | + | 0.0170186i | −0.221698 | − | 0.975115i | \(-0.571160\pi\) |
0.125181 | + | 0.992134i | \(0.460049\pi\) | |||||||
\(140\) | −20.6186 | − | 2.21636i | −1.74259 | − | 0.187317i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.79945 | − | 0.705129i | 0.486679 | − | 0.0591731i | ||||
\(143\) | −6.14148 | − | 2.23531i | −0.513576 | − | 0.186926i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.82515 | + | 11.8215i | 0.566798 | + | 0.981723i | ||||
\(146\) | 11.4139 | + | 15.1840i | 0.944618 | + | 1.25664i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.115300 | + | 1.70682i | 0.00947764 | + | 0.140300i | ||||
\(149\) | −11.7692 | − | 2.07523i | −0.964173 | − | 0.170010i | −0.330667 | − | 0.943748i | \(-0.607274\pi\) |
−0.633506 | + | 0.773738i | \(0.718385\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.10738i | 0.171496i | 0.996317 | + | 0.0857480i | \(0.0273280\pi\) | ||||
−0.996317 | + | 0.0857480i | \(0.972672\pi\) | |||||||
\(152\) | 7.99350 | − | 9.38637i | 0.648359 | − | 0.761335i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.14498 | − | 4.80915i | −0.414594 | − | 0.387532i | ||||
\(155\) | −3.27440 | + | 18.5700i | −0.263006 | + | 1.49158i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.68593 | + | 8.12746i | 0.773021 | + | 0.648642i | 0.941481 | − | 0.337067i | \(-0.109435\pi\) |
−0.168459 | + | 0.985709i | \(0.553879\pi\) | |||||||
\(158\) | −6.11894 | + | 4.59963i | −0.486797 | + | 0.365927i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.19676 | + | 12.2187i | 0.252726 | + | 0.965975i | ||||
\(161\) | 3.29235 | − | 9.04566i | 0.259474 | − | 0.712898i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.0618 | − | 8.69594i | −1.17973 | − | 0.681118i | −0.223779 | − | 0.974640i | \(-0.571839\pi\) |
−0.955952 | + | 0.293522i | \(0.905173\pi\) | |||||||
\(164\) | −0.683213 | + | 6.35584i | −0.0533499 | + | 0.496308i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −17.7107 | − | 4.11088i | −1.37462 | − | 0.319066i | ||||
\(167\) | 4.13627 | − | 3.47074i | 0.320074 | − | 0.268574i | −0.468567 | − | 0.883428i | \(-0.655230\pi\) |
0.788641 | + | 0.614854i | \(0.210785\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −22.6907 | + | 8.25875i | −1.74544 | + | 0.635289i | ||||
\(170\) | 14.6379 | − | 7.43661i | 1.12268 | − | 0.570362i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.707661 | − | 0.516705i | −0.0539586 | − | 0.0393984i | ||||
\(173\) | 4.02831 | + | 11.0677i | 0.306267 | + | 0.841461i | 0.993376 | + | 0.114907i | \(0.0366571\pi\) |
−0.687109 | + | 0.726554i | \(0.741121\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0451059 | − | 0.0537551i | −0.00340968 | − | 0.00406350i | ||||
\(176\) | −1.62557 | + | 3.96932i | −0.122532 | + | 0.299199i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.4097 | − | 15.9882i | 0.780244 | − | 1.19837i | ||||
\(179\) | 0.475394 | − | 0.823406i | 0.0355326 | − | 0.0615443i | −0.847712 | − | 0.530456i | \(-0.822021\pi\) |
0.883245 | + | 0.468912i | \(0.155354\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.88127 | + | 2.50458i | 0.511481 | + | 0.186164i | 0.584851 | − | 0.811141i | \(-0.301153\pi\) |
−0.0733698 | + | 0.997305i | \(0.523375\pi\) | |||||||
\(182\) | −39.9714 | − | 2.14217i | −2.96288 | − | 0.158788i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.86222 | + | 0.0815438i | −0.432169 | + | 0.00601149i | ||||
\(185\) | 1.22756 | − | 1.46294i | 0.0902517 | − | 0.107558i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.49124 | + | 0.968254i | 0.401559 | + | 0.0708057i | ||||
\(188\) | −4.17296 | + | 14.4241i | −0.304344 | + | 1.05199i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −13.6947 | + | 1.37112i | −0.993521 | + | 0.0994716i | ||||
\(191\) | −12.1950 | −0.882396 | −0.441198 | − | 0.897410i | \(-0.645446\pi\) | ||||
−0.441198 | + | 0.897410i | \(0.645446\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.15567 | − | 23.5680i | 0.299131 | − | 1.69646i | −0.350788 | − | 0.936455i | \(-0.614086\pi\) |
0.649919 | − | 0.760003i | \(-0.274803\pi\) | |||||||
\(194\) | 2.38335 | − | 5.59644i | 0.171115 | − | 0.401801i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −26.1553 | − | 12.8334i | −1.86823 | − | 0.916669i | ||||
\(197\) | 0.412356 | − | 0.238074i | 0.0293791 | − | 0.0169620i | −0.485239 | − | 0.874382i | \(-0.661267\pi\) |
0.514618 | + | 0.857420i | \(0.327934\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.07508 | − | 16.6911i | 0.430651 | − | 1.18320i | −0.514763 | − | 0.857332i | \(-0.672120\pi\) |
0.945414 | − | 0.325871i | \(-0.105658\pi\) | |||||||
\(200\) | −0.0208522 | + | 0.0373059i | −0.00147447 | + | 0.00263793i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.79019 | − | 5.82131i | 0.266677 | − | 0.409586i | ||||
\(203\) | 4.93037 | + | 27.9615i | 0.346044 | + | 1.96252i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.46663 | − | 4.58704i | 0.381806 | − | 0.320373i | ||||
\(206\) | 16.2073 | − | 4.93414i | 1.12922 | − | 0.343778i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.42398 | + | 23.2215i | 0.514760 | + | 1.61012i | ||||
\(209\) | −3.99747 | − | 2.42237i | −0.276510 | − | 0.167559i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.19568 | − | 8.78005i | −0.219999 | − | 0.604443i | 0.779767 | − | 0.626070i | \(-0.215338\pi\) |
−0.999766 | + | 0.0216268i | \(0.993115\pi\) | |||||||
\(212\) | −18.7949 | + | 18.0644i | −1.29084 | + | 1.24067i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.61704 | − | 1.30379i | −0.383973 | − | 0.0891250i | ||||
\(215\) | 0.169857 | + | 0.963306i | 0.0115841 | + | 0.0656969i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −19.6109 | + | 33.9672i | −1.33128 | + | 2.30584i | ||||
\(218\) | 14.2742 | − | 1.73553i | 0.966768 | − | 0.117545i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.37894 | − | 1.93724i | 0.295228 | − | 0.130609i | ||||
\(221\) | 27.4465 | − | 15.8462i | 1.84625 | − | 1.06593i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.33724 | + | 2.78541i | −0.156513 | + | 0.186525i | −0.838603 | − | 0.544744i | \(-0.816627\pi\) |
0.682090 | + | 0.731269i | \(0.261071\pi\) | |||||||
\(224\) | −2.44418 | + | 26.1567i | −0.163309 | + | 1.74767i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.66331 | − | 4.35892i | −0.310199 | − | 0.289951i | ||||
\(227\) | −12.1355 | −0.805461 | −0.402731 | − | 0.915319i | \(-0.631939\pi\) | ||||
−0.402731 | + | 0.915319i | \(0.631939\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.0403 | −1.12606 | −0.563028 | − | 0.826438i | \(-0.690364\pi\) | ||||
−0.563028 | + | 0.826438i | \(0.690364\pi\) | |||||||
\(230\) | 4.78135 | + | 4.46925i | 0.315273 | + | 0.294694i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.8541 | − | 8.85374i | 0.975219 | − | 0.581276i | ||||
\(233\) | 5.73459 | − | 6.83422i | 0.375686 | − | 0.447725i | −0.544762 | − | 0.838591i | \(-0.683380\pi\) |
0.920448 | + | 0.390866i | \(0.127824\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.5168 | − | 8.38129i | 0.946973 | − | 0.546735i | ||||
\(236\) | −9.77254 | − | 22.0898i | −0.636138 | − | 1.43792i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 33.9014 | − | 4.12192i | 2.19750 | − | 0.267184i | ||||
\(239\) | 3.06867 | − | 5.31509i | 0.198496 | − | 0.343805i | −0.749545 | − | 0.661953i | \(-0.769728\pi\) |
0.948041 | + | 0.318149i | \(0.103061\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.381152 | − | 2.16162i | −0.0245521 | − | 0.139242i | 0.970068 | − | 0.242835i | \(-0.0780773\pi\) |
−0.994620 | + | 0.103593i | \(0.966966\pi\) | |||||||
\(242\) | −13.5694 | − | 3.14964i | −0.872277 | − | 0.202467i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.198239 | − | 0.206256i | −0.0126910 | − | 0.0132042i | ||||
\(245\) | 11.1237 | + | 30.5622i | 0.710669 | + | 1.95255i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −26.2551 | + | 4.05751i | −1.67057 | + | 0.258173i | ||||
\(248\) | 23.5804 | + | 3.82049i | 1.49736 | + | 0.242601i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 15.1487 | − | 4.61187i | 0.958090 | − | 0.291680i | ||||
\(251\) | 17.2346 | − | 14.4615i | 1.08784 | − | 0.912803i | 0.0912887 | − | 0.995824i | \(-0.470901\pi\) |
0.996548 | + | 0.0830212i | \(0.0264569\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.385971 | + | 2.18895i | 0.0242658 | + | 0.137618i | ||||
\(254\) | 0.136919 | − | 0.210292i | 0.00859104 | − | 0.0131949i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.4212 | − | 4.26464i | 0.963824 | − | 0.266540i | ||||
\(257\) | −1.47246 | + | 4.04556i | −0.0918497 | + | 0.252355i | −0.977108 | − | 0.212745i | \(-0.931760\pi\) |
0.885258 | + | 0.465100i | \(0.153982\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.44010 | − | 1.98615i | 0.213758 | − | 0.123413i | ||||
\(260\) | 11.9883 | − | 24.4331i | 0.743485 | − | 1.51527i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.531590 | − | 1.24825i | 0.0328418 | − | 0.0771169i | ||||
\(263\) | −3.29418 | + | 18.6822i | −0.203128 | + | 1.15200i | 0.697230 | + | 0.716847i | \(0.254416\pi\) |
−0.900358 | + | 0.435149i | \(0.856696\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 29.1015 | 1.78769 | ||||||||
\(266\) | −27.7429 | − | 7.06259i | −1.70102 | − | 0.433035i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.544719 | + | 0.157589i | 0.0332740 | + | 0.00962630i | ||||
\(269\) | 16.4491 | + | 2.90041i | 1.00292 | + | 0.176841i | 0.650909 | − | 0.759156i | \(-0.274388\pi\) |
0.352008 | + | 0.935997i | \(0.385499\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.6418 | + | 22.2165i | −1.13241 | + | 1.34955i | −0.203577 | + | 0.979059i | \(0.565257\pi\) |
−0.928834 | + | 0.370496i | \(0.879188\pi\) | |||||||
\(272\) | −9.67790 | − | 18.4108i | −0.586809 | − | 1.11632i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.5519 | + | 0.672688i | 0.758289 | + | 0.0406386i | ||||
\(275\) | 0.0152258 | + | 0.00554176i | 0.000918153 | + | 0.000334180i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.51576 | − | 4.35742i | 0.151157 | − | 0.261812i | −0.780496 | − | 0.625161i | \(-0.785033\pi\) |
0.931653 | + | 0.363349i | \(0.118367\pi\) | |||||||
\(278\) | 0.891607 | − | 1.36941i | 0.0534751 | − | 0.0821318i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 22.2014 | − | 19.1617i | 1.32679 | − | 1.14513i | ||||
\(281\) | −0.803979 | − | 0.958145i | −0.0479614 | − | 0.0571581i | 0.741530 | − | 0.670919i | \(-0.234100\pi\) |
−0.789492 | + | 0.613761i | \(0.789656\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.56938 | + | 7.05932i | 0.152734 | + | 0.419633i | 0.992336 | − | 0.123569i | \(-0.0394340\pi\) |
−0.839602 | + | 0.543202i | \(0.817212\pi\) | |||||||
\(284\) | −4.87210 | + | 6.67266i | −0.289106 | + | 0.395949i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.24032 | − | 4.18640i | 0.487260 | − | 0.247547i | ||||
\(287\) | 13.9482 | − | 5.07674i | 0.823337 | − | 0.299670i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.69018 | + | 6.45283i | −0.452364 | + | 0.379578i | ||||
\(290\) | −18.8045 | − | 4.36477i | −1.10424 | − | 0.256308i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −26.7099 | − | 2.87114i | −1.56308 | − | 0.168021i | ||||
\(293\) | −4.47923 | − | 2.58608i | −0.261679 | − | 0.151081i | 0.363421 | − | 0.931625i | \(-0.381609\pi\) |
−0.625100 | + | 0.780544i | \(0.714942\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.22265 | + | 25.3390i | −0.536964 | + | 1.47530i | ||||
\(296\) | −1.87475 | − | 1.52917i | −0.108967 | − | 0.0888813i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.5097 | − | 10.1553i | 0.782597 | − | 0.588281i | ||||
\(299\) | 9.67776 | + | 8.12060i | 0.559679 | + | 0.469627i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.353305 | + | 2.00369i | −0.0203642 | + | 0.115491i | ||||
\(302\) | −2.17724 | − | 2.03512i | −0.125286 | − | 0.117108i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.97811 | + | 17.3230i | 0.113452 | + | 0.993543i | ||||
\(305\) | 0.319361i | 0.0182866i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.05324 | + | 0.891023i | 0.288404 | + | 0.0508534i | 0.315978 | − | 0.948766i | \(-0.397667\pi\) |
−0.0275747 | + | 0.999620i | \(0.508778\pi\) | |||||||
\(308\) | 9.93715 | − | 0.671283i | 0.566221 | − | 0.0382499i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −16.0235 | − | 21.3163i | −0.910074 | − | 1.21068i | ||||
\(311\) | −7.97132 | − | 13.8067i | −0.452012 | − | 0.782908i | 0.546499 | − | 0.837460i | \(-0.315960\pi\) |
−0.998511 | + | 0.0545521i | \(0.982627\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.81385 | + | 2.84401i | 0.441665 | + | 0.160753i | 0.553274 | − | 0.832999i | \(-0.313378\pi\) |
−0.111609 | + | 0.993752i | \(0.535600\pi\) | |||||||
\(314\) | −17.7507 | + | 2.15823i | −1.00173 | + | 0.121796i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.15703 | − | 10.7637i | 0.0650880 | − | 0.605506i | ||||
\(317\) | 17.8892 | − | 3.15435i | 1.00476 | − | 0.177166i | 0.353025 | − | 0.935614i | \(-0.385153\pi\) |
0.651734 | + | 0.758448i | \(0.274042\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.21412 | − | 5.02219i | −0.235946 | − | 0.281189i | ||||
\(320\) | −15.7109 | − | 8.49704i | −0.878268 | − | 0.474999i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.16606 | + | 12.1370i | 0.343621 | + | 0.676368i | ||||
\(323\) | 21.4584 | − | 7.29883i | 1.19398 | − | 0.406118i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0865402 | − | 0.0314981i | 0.00480039 | − | 0.00174720i | ||||
\(326\) | 23.5296 | − | 7.16333i | 1.30318 | − | 0.396740i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.90675 | − | 6.84377i | −0.326146 | − | 0.377884i | ||||
\(329\) | 34.3368 | − | 6.05450i | 1.89305 | − | 0.333795i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0663 | − | 5.81180i | −0.553296 | − | 0.319445i | 0.197154 | − | 0.980372i | \(-0.436830\pi\) |
−0.750450 | + | 0.660927i | \(0.770163\pi\) | |||||||
\(332\) | 21.3506 | − | 14.3279i | 1.17177 | − | 0.786344i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.408649 | + | 7.62512i | −0.0223603 | + | 0.417228i | ||||
\(335\) | −0.316515 | − | 0.548220i | −0.0172930 | − | 0.0299524i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.06068 | − | 1.72912i | −0.112252 | − | 0.0941909i | 0.584934 | − | 0.811081i | \(-0.301120\pi\) |
−0.697186 | + | 0.716890i | \(0.745565\pi\) | |||||||
\(338\) | 13.3802 | − | 31.4185i | 0.727787 | − | 1.70894i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.45286 | + | 22.3048i | −0.349956 | + | 1.20965i | ||||
\(341\) | − | 9.05646i | − | 0.490435i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 35.1415i | 1.89746i | ||||||||
\(344\) | 1.21723 | − | 0.232132i | 0.0656287 | − | 0.0125157i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.3248 | − | 6.52636i | −0.823865 | − | 0.350859i | ||||
\(347\) | −23.5669 | − | 19.7750i | −1.26514 | − | 1.06158i | −0.995115 | − | 0.0987232i | \(-0.968524\pi\) |
−0.270023 | − | 0.962854i | \(-0.587031\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.73087 | + | 15.1223i | 0.467353 | + | 0.809479i | 0.999304 | − | 0.0372962i | \(-0.0118745\pi\) |
−0.531952 | + | 0.846775i | \(0.678541\pi\) | |||||||
\(350\) | 0.0990964 | + | 0.00531082i | 0.00529693 | + | 0.000283875i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.53107 | − | 5.51268i | −0.134907 | − | 0.293827i | ||||
\(353\) | 14.5026 | + | 8.37305i | 0.771893 | + | 0.445653i | 0.833549 | − | 0.552445i | \(-0.186305\pi\) |
−0.0616565 | + | 0.998097i | \(0.519638\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.08318 | − | 1.60161i | 0.482085 | − | 0.0850046i | ||||
\(356\) | 6.46541 | + | 26.1949i | 0.342666 | + | 1.38833i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.391609 | + | 1.28633i | 0.0206972 | + | 0.0679845i | ||||
\(359\) | −12.5043 | + | 4.55120i | −0.659953 | + | 0.240203i | −0.650216 | − | 0.759749i | \(-0.725322\pi\) |
−0.00973709 | + | 0.999953i | \(0.503099\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9829 | − | 0.805507i | −0.999101 | − | 0.0423951i | ||||
\(362\) | −9.23293 | + | 4.69068i | −0.485272 | + | 0.246537i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 40.8140 | − | 39.2277i | 2.13924 | − | 2.05609i | ||||
\(365\) | 19.2767 | + | 22.9730i | 1.00899 | + | 1.20246i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 33.6177 | − | 5.92771i | 1.75483 | − | 0.309424i | 0.798562 | − | 0.601913i | \(-0.205595\pi\) |
0.956269 | + | 0.292489i | \(0.0944834\pi\) | |||||||
\(368\) | 5.57697 | − | 6.13530i | 0.290720 | − | 0.319825i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.325975 | + | 2.68103i | 0.0169466 | + | 0.139380i | ||||
\(371\) | 56.8812 | + | 20.7031i | 2.95313 | + | 1.07485i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.84474 | + | 10.1234i | 0.302629 | + | 0.524169i | 0.976731 | − | 0.214469i | \(-0.0688023\pi\) |
−0.674101 | + | 0.738639i | \(0.735469\pi\) | |||||||
\(374\) | −6.30331 | + | 4.73822i | −0.325937 | + | 0.245008i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.8724 | − | 18.2408i | −0.560701 | − | 0.940699i | ||||
\(377\) | −36.6967 | − | 6.47063i | −1.88998 | − | 0.333254i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 35.9517i | − | 1.84672i | −0.383941 | − | 0.923358i | \(-0.625433\pi\) | ||
0.383941 | − | 0.923358i | \(-0.374567\pi\) | |||||||
\(380\) | 11.8086 | − | 15.4728i | 0.605769 | − | 0.793739i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.7768 | − | 12.5992i | 0.602555 | − | 0.644632i | ||||
\(383\) | 4.36295 | − | 24.7435i | 0.222936 | − | 1.26433i | −0.643656 | − | 0.765315i | \(-0.722583\pi\) |
0.866592 | − | 0.499018i | \(-0.166306\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.51730 | − | 7.14687i | −0.434082 | − | 0.364238i | ||||
\(386\) | 20.3361 | + | 27.0533i | 1.03508 | + | 1.37698i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.48032 | + | 7.86691i | 0.176687 | + | 0.399382i | ||||
\(389\) | 7.50992 | − | 20.6333i | 0.380768 | − | 1.04615i | −0.590266 | − | 0.807209i | \(-0.700977\pi\) |
0.971034 | − | 0.238942i | \(-0.0768007\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.33434 | − | 5.38918i | −0.472058 | − | 0.272543i | ||||
\(392\) | 38.5173 | − | 14.6290i | 1.94542 | − | 0.738875i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.152251 | + | 0.655936i | −0.00767030 | + | 0.0330456i | ||||
\(395\) | −9.25781 | + | 7.76823i | −0.465811 | + | 0.390862i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.71404 | + | 1.71577i | −0.236591 | + | 0.0861120i | −0.457595 | − | 0.889161i | \(-0.651289\pi\) |
0.221004 | + | 0.975273i | \(0.429067\pi\) | |||||||
\(398\) | 11.3777 | + | 22.3953i | 0.570311 | + | 1.12258i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0184054 | − | 0.0575703i | −0.000920270 | − | 0.00287851i | ||||
\(401\) | −4.37597 | − | 12.0229i | −0.218525 | − | 0.600394i | 0.781189 | − | 0.624295i | \(-0.214614\pi\) |
−0.999714 | + | 0.0239011i | \(0.992391\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −33.0874 | − | 39.4320i | −1.64820 | − | 1.96425i | ||||
\(404\) | 2.35405 | + | 9.53754i | 0.117119 | + | 0.474511i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −33.6498 | − | 21.9090i | −1.67001 | − | 1.08732i | ||||
\(407\) | −0.458607 | + | 0.794331i | −0.0227323 | + | 0.0393735i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.4036 | + | 9.61011i | 1.30557 | + | 0.475189i | 0.898807 | − | 0.438344i | \(-0.144435\pi\) |
0.406765 | + | 0.913533i | \(0.366657\pi\) | |||||||
\(410\) | −0.540084 | + | 10.0776i | −0.0266729 | + | 0.497698i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.5539 | + | 21.5095i | −0.519952 | + | 1.05970i | ||||
\(413\) | −36.0528 | + | 42.9661i | −1.77404 | + | 2.11422i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −28.2679 | − | 4.98440i | −1.38762 | − | 0.244675i | ||||
\(416\) | −31.1607 | − | 14.7552i | −1.52778 | − | 0.723432i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.36308 | − | 1.79067i | 0.311228 | − | 0.0875844i | ||||
\(419\) | −17.3920 | −0.849655 | −0.424828 | − | 0.905274i | \(-0.639665\pi\) | ||||
−0.424828 | + | 0.905274i | \(0.639665\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.07309 | − | 11.7571i | 0.101036 | − | 0.573006i | −0.891693 | − | 0.452640i | \(-0.850482\pi\) |
0.992730 | − | 0.120366i | \(-0.0384067\pi\) | |||||||
\(422\) | 12.1572 | + | 5.17739i | 0.591804 | + | 0.252031i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.512767 | − | 36.8630i | −0.0249022 | − | 1.79023i | ||||
\(425\) | −0.0680448 | + | 0.0392857i | −0.00330066 | + | 0.00190564i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.227196 | + | 0.624216i | −0.0109948 | + | 0.0302079i | ||||
\(428\) | 6.77145 | − | 4.54416i | 0.327310 | − | 0.219650i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.15927 | − | 0.754789i | −0.0559051 | − | 0.0363991i | ||||
\(431\) | −3.64832 | − | 20.6906i | −0.175733 | − | 0.996633i | −0.937294 | − | 0.348539i | \(-0.886678\pi\) |
0.761561 | − | 0.648093i | \(-0.224433\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.9278 | + | 19.2387i | −1.10184 | + | 0.924554i | −0.997547 | − | 0.0699929i | \(-0.977702\pi\) |
−0.104293 | + | 0.994547i | \(0.533258\pi\) | |||||||
\(434\) | −16.1546 | − | 53.0636i | −0.775447 | − | 2.54713i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.9917 | + | 16.4234i | −0.574297 | + | 0.786537i | ||||
\(437\) | 5.65964 | + | 7.04292i | 0.270737 | + | 0.336908i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.79704 | + | 13.1798i | 0.228950 | + | 0.629036i | 0.999970 | − | 0.00777581i | \(-0.00247514\pi\) |
−0.771019 | + | 0.636812i | \(0.780253\pi\) | |||||||
\(440\) | −2.22733 | + | 6.39492i | −0.106184 | + | 0.304866i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.1339 | + | 43.6592i | −0.482019 | + | 2.07666i | ||||
\(443\) | −2.91096 | − | 16.5089i | −0.138304 | − | 0.784360i | −0.972502 | − | 0.232895i | \(-0.925180\pi\) |
0.834198 | − | 0.551465i | \(-0.185931\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.0600 | − | 26.0847i | 0.713913 | − | 1.23653i | ||||
\(446\) | −0.620648 | − | 5.10462i | −0.0293885 | − | 0.241711i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −24.6634 | − | 27.7850i | −1.16524 | − | 1.31272i | ||||
\(449\) | −2.94406 | + | 1.69975i | −0.138939 | + | 0.0802162i | −0.567858 | − | 0.823127i | \(-0.692228\pi\) |
0.428919 | + | 0.903343i | \(0.358894\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.20308 | + | 2.62553i | −0.103739 | + | 0.123631i | ||||
\(452\) | 9.00684 | − | 0.608438i | 0.423646 | − | 0.0286185i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.7194 | − | 12.5378i | 0.550019 | − | 0.588428i | ||||
\(455\) | −63.1953 | −2.96264 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.68657 | 0.0788945 | 0.0394472 | − | 0.999222i | \(-0.487440\pi\) | ||||
0.0394472 | + | 0.999222i | \(0.487440\pi\) | |||||||
\(458\) | 16.4561 | − | 17.6052i | 0.768941 | − | 0.822638i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.23482 | + | 0.623838i | −0.430575 | + | 0.0290866i | ||||
\(461\) | 13.2389 | − | 15.7775i | 0.616598 | − | 0.734832i | −0.363884 | − | 0.931444i | \(-0.618549\pi\) |
0.980481 | + | 0.196612i | \(0.0629939\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.60533 | − | 2.08154i | 0.167554 | − | 0.0967374i | −0.413878 | − | 0.910332i | \(-0.635826\pi\) |
0.581432 | + | 0.813595i | \(0.302493\pi\) | |||||||
\(464\) | −5.19754 | + | 23.8967i | −0.241290 | + | 1.10938i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.52281 | + | 12.5246i | 0.0705427 | + | 0.580190i | ||||
\(467\) | −3.71104 | + | 6.42771i | −0.171726 | + | 0.297439i | −0.939024 | − | 0.343853i | \(-0.888268\pi\) |
0.767297 | + | 0.641292i | \(0.221601\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.228645 | − | 1.29671i | −0.0105578 | − | 0.0598765i | ||||
\(470\) | −5.35994 | + | 23.0920i | −0.247236 | + | 1.06515i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 32.2596 | + | 11.2359i | 1.48487 | + | 0.517174i | ||||
\(473\) | −0.160680 | − | 0.441465i | −0.00738807 | − | 0.0202986i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0650912 | − | 0.0100593i | 0.00298659 | − | 0.000461553i | ||||
\(476\) | −28.4804 | + | 39.0058i | −1.30540 | + | 1.78783i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.52784 | + | 8.30325i | 0.115621 | + | 0.379782i | ||||
\(479\) | −28.0546 | + | 23.5406i | −1.28185 | + | 1.07560i | −0.288861 | + | 0.957371i | \(0.593277\pi\) |
−0.992987 | + | 0.118227i | \(0.962279\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.905269 | + | 5.13404i | 0.0412767 | + | 0.234092i | ||||
\(482\) | 2.60136 | + | 1.69372i | 0.118489 | + | 0.0771466i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.3582 | − | 10.9776i | 0.743556 | − | 0.498983i | ||||
\(485\) | 3.28449 | − | 9.02406i | 0.149141 | − | 0.409762i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.52219 | − | 5.49764i | 0.431492 | − | 0.249122i | −0.268490 | − | 0.963282i | \(-0.586525\pi\) |
0.699982 | + | 0.714161i | \(0.253191\pi\) | |||||||
\(488\) | 0.404536 | − | 0.00562712i | 0.0183125 | − | 0.000254728i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −42.3177 | − | 18.0218i | −1.91172 | − | 0.814143i | ||||
\(491\) | −0.102881 | + | 0.583469i | −0.00464297 | + | 0.0263316i | −0.987041 | − | 0.160467i | \(-0.948700\pi\) |
0.982398 | + | 0.186798i | \(0.0598111\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 31.7913 | 1.43181 | ||||||||
\(494\) | 21.1628 | − | 31.0438i | 0.952161 | − | 1.39673i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −26.7191 | + | 20.6726i | −1.19972 | + | 0.928228i | ||||
\(497\) | 18.8932 | + | 3.33138i | 0.847475 | + | 0.149433i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.6271 | − | 12.6649i | 0.475736 | − | 0.566960i | −0.473794 | − | 0.880636i | \(-0.657116\pi\) |
0.949530 | + | 0.313676i | \(0.101560\pi\) | |||||||
\(500\) | −9.86456 | + | 20.1046i | −0.441157 | + | 0.899107i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.70272 | + | 31.7716i | −0.0759960 | + | 1.41803i | ||||
\(503\) | 37.5778 | + | 13.6772i | 1.67551 | + | 0.609836i | 0.992683 | − | 0.120746i | \(-0.0385286\pi\) |
0.682826 | + | 0.730581i | \(0.260751\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.48335 | − | 9.49743i | 0.244006 | − | 0.422630i | ||||
\(506\) | −2.63425 | − | 1.71513i | −0.117107 | − | 0.0762468i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.0850391 | + | 0.344539i | 0.00377300 | + | 0.0152865i | ||||
\(509\) | 10.7436 | + | 12.8037i | 0.476201 | + | 0.567514i | 0.949652 | − | 0.313306i | \(-0.101436\pi\) |
−0.473451 | + | 0.880820i | \(0.656992\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.3345 | + | 58.6162i | 0.943785 | + | 2.59303i | ||||
\(512\) | −10.4864 | + | 20.0508i | −0.463438 | + | 0.886129i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.75769 | − | 5.42812i | −0.121637 | − | 0.239424i | ||||
\(515\) | 25.1337 | − | 9.14792i | 1.10752 | − | 0.403105i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.16726 | + | 5.17494i | −0.271236 | + | 0.227594i | ||||
\(518\) | −1.27017 | + | 5.47219i | −0.0558079 | + | 0.240434i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 13.6657 | + | 35.9811i | 0.599282 | + | 1.57787i | ||||
\(521\) | −16.0840 | − | 9.28610i | −0.704653 | − | 0.406831i | 0.104425 | − | 0.994533i | \(-0.466700\pi\) |
−0.809078 | + | 0.587701i | \(0.800033\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.157921 | + | 0.433885i | −0.00690542 | + | 0.0189725i | −0.943097 | − | 0.332516i | \(-0.892102\pi\) |
0.936192 | + | 0.351489i | \(0.114325\pi\) | |||||||
\(524\) | 0.776262 | + | 1.75466i | 0.0339112 | + | 0.0766527i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.1203 | − | 21.4451i | −0.702880 | − | 0.935049i | ||||
\(527\) | 33.6420 | + | 28.2290i | 1.46547 | + | 1.22967i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.24782 | + | 18.4193i | −0.141210 | + | 0.800840i | ||||
\(530\) | −28.1037 | + | 30.0662i | −1.22075 | + | 1.30599i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 34.0884 | − | 21.8421i | 1.47792 | − | 0.946976i | ||||
\(533\) | 19.4805i | 0.843793i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.96533 | − | 1.58083i | −0.387605 | − | 0.0683452i | ||||
\(536\) | −0.688855 | + | 0.410590i | −0.0297540 | + | 0.0177348i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.8816 | + | 14.1934i | −0.814045 | + | 0.611921i | ||||
\(539\) | −7.81027 | − | 13.5278i | −0.336412 | − | 0.582683i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.0840 | + | 4.76218i | 0.562524 | + | 0.204742i | 0.607602 | − | 0.794241i | \(-0.292131\pi\) |
−0.0450782 | + | 0.998983i | \(0.514354\pi\) | |||||||
\(542\) | −4.95030 | − | 40.7145i | −0.212634 | − | 1.74884i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 28.3672 | + | 7.78086i | 1.21624 | + | 0.333602i | ||||
\(545\) | 22.3564 | − | 3.94203i | 0.957642 | − | 0.168858i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.6217 | − | 22.1924i | −0.796204 | − | 0.948879i | 0.203339 | − | 0.979108i | \(-0.434821\pi\) |
−0.999543 | + | 0.0302290i | \(0.990376\pi\) | |||||||
\(548\) | −12.8165 | + | 12.3184i | −0.547495 | + | 0.526215i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.0204293 | + | 0.0103788i | −0.000871106 | + | 0.000442555i | ||||
\(551\) | −24.8436 | − | 9.64362i | −1.05837 | − | 0.410832i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.6215 | + | 8.59752i | −1.00449 | + | 0.365604i | ||||
\(554\) | 2.07237 | + | 6.80717i | 0.0880466 | + | 0.289209i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.553770 | + | 2.24362i | 0.0234851 | + | 0.0951507i | ||||
\(557\) | −21.6378 | + | 3.81533i | −0.916823 | + | 0.161661i | −0.612100 | − | 0.790780i | \(-0.709675\pi\) |
−0.304723 | + | 0.952441i | \(0.598564\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.31248 | − | 1.33511i | −0.0978073 | − | 0.0564691i | ||||
\(560\) | −1.64330 | + | 41.4421i | −0.0694420 | + | 1.75125i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.76632 | + | 0.0946614i | 0.0745077 | + | 0.00399305i | ||||
\(563\) | 18.9942 | + | 32.8989i | 0.800509 | + | 1.38652i | 0.919282 | + | 0.393601i | \(0.128771\pi\) |
−0.118773 | + | 0.992921i | \(0.537896\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.71992 | − | 6.47778i | −0.324779 | − | 0.272522i | ||||
\(566\) | −9.77462 | − | 4.16272i | −0.410858 | − | 0.174972i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.18881 | − | 11.4775i | −0.0918404 | − | 0.481584i | ||||
\(569\) | 17.0920i | 0.716536i | 0.933619 | + | 0.358268i | \(0.116633\pi\) | ||||
−0.933619 | + | 0.358268i | \(0.883367\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.83122i | 0.0766342i | 0.999266 | + | 0.0383171i | \(0.0121997\pi\) | ||||
−0.999266 | + | 0.0383171i | \(0.987800\pi\) | |||||||
\(572\) | −3.63260 | + | 12.5563i | −0.151887 | + | 0.525007i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.22494 | + | 19.3133i | −0.343302 | + | 0.806120i | ||||
\(575\) | −0.0239929 | − | 0.0201325i | −0.00100057 | − | 0.000839582i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.5459 | − | 35.5866i | −0.855339 | − | 1.48149i | −0.876331 | − | 0.481710i | \(-0.840016\pi\) |
0.0209919 | − | 0.999780i | \(-0.493318\pi\) | |||||||
\(578\) | 0.759764 | − | 14.1767i | 0.0316020 | − | 0.589673i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 22.6692 | − | 15.2128i | 0.941288 | − | 0.631676i | ||||
\(581\) | −51.7060 | − | 29.8525i | −2.14513 | − | 1.23849i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.7646 | + | 2.42708i | −0.570073 | + | 0.100519i | ||||
\(584\) | 28.7604 | − | 24.8226i | 1.19011 | − | 1.02717i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.99746 | − | 2.13030i | 0.289062 | − | 0.0880020i | ||||
\(587\) | 5.64357 | − | 2.05409i | 0.232935 | − | 0.0847814i | −0.222915 | − | 0.974838i | \(-0.571557\pi\) |
0.455850 | + | 0.890056i | \(0.349335\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −17.7268 | − | 32.2648i | −0.730419 | − | 1.32945i | ||||
\(590\) | −17.2726 | − | 33.9986i | −0.711101 | − | 1.39970i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.39033 | − | 0.460153i | 0.139342 | − | 0.0189122i | ||||
\(593\) | −22.6436 | − | 26.9856i | −0.929860 | − | 1.10816i | −0.993907 | − | 0.110218i | \(-0.964845\pi\) |
0.0640470 | − | 0.997947i | \(-0.479599\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 53.0968 | − | 9.36240i | 2.17676 | − | 0.383821i | ||||
\(596\) | −2.55455 | + | 23.7647i | −0.104639 | + | 0.973439i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −17.7357 | + | 2.15641i | −0.725268 | + | 0.0881821i | ||||
\(599\) | −21.6993 | − | 7.89790i | −0.886610 | − | 0.322700i | −0.141736 | − | 0.989905i | \(-0.545268\pi\) |
−0.744874 | + | 0.667205i | \(0.767490\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.7588 | − | 20.3669i | −0.479653 | − | 0.830784i | 0.520074 | − | 0.854121i | \(-0.325904\pi\) |
−0.999728 | + | 0.0233369i | \(0.992571\pi\) | |||||||
\(602\) | −1.72893 | − | 2.30001i | −0.0704658 | − | 0.0937414i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.20517 | − | 0.284072i | 0.171106 | − | 0.0115587i | ||||
\(605\) | −21.6581 | − | 3.81891i | −0.880528 | − | 0.155261i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.79848i | 0.154176i | 0.997024 | + | 0.0770879i | \(0.0245622\pi\) | ||||
−0.997024 | + | 0.0770879i | \(0.975438\pi\) | |||||||
\(608\) | −19.8076 | − | 14.6854i | −0.803303 | − | 0.595571i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.329948 | − | 0.308411i | −0.0133592 | − | 0.0124872i | ||||
\(611\) | −7.94593 | + | 45.0636i | −0.321458 | + | 1.82308i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 27.6028 | + | 23.1615i | 1.11487 | + | 0.935484i | 0.998334 | − | 0.0577034i | \(-0.0183778\pi\) |
0.116532 | + | 0.993187i | \(0.462822\pi\) | |||||||
\(614\) | −5.80054 | + | 4.36029i | −0.234091 | + | 0.175967i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.90289 | + | 10.9148i | −0.358708 | + | 0.439771i | ||||
\(617\) | −1.04474 | + | 2.87040i | −0.0420597 | + | 0.115558i | −0.958944 | − | 0.283594i | \(-0.908473\pi\) |
0.916885 | + | 0.399152i | \(0.130695\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.43204 | + | 5.44559i | 0.379106 | + | 0.218877i | 0.677429 | − | 0.735588i | \(-0.263094\pi\) |
−0.298323 | + | 0.954465i | \(0.596427\pi\) | |||||||
\(620\) | 37.4970 | + | 4.03069i | 1.50592 | + | 0.161876i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.9624 | + | 5.09776i | 0.880613 | + | 0.204402i | ||||
\(623\) | 47.9929 | − | 40.2708i | 1.92279 | − | 1.61342i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.4211 | − | 8.52459i | 0.936844 | − | 0.340983i | ||||
\(626\) | −10.4842 | + | 5.32639i | −0.419034 | + | 0.212885i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.9123 | − | 20.4234i | 0.595066 | − | 0.814982i | ||||
\(629\) | −1.52122 | − | 4.17951i | −0.0606549 | − | 0.166648i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.2566 | + | 20.5657i | 0.686976 | + | 0.818706i | 0.990986 | − | 0.133963i | \(-0.0427703\pi\) |
−0.304011 | + | 0.952669i | \(0.598326\pi\) | |||||||
\(632\) | 10.0032 | + | 11.5900i | 0.397905 | + | 0.461027i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.0169 | + | 21.5285i | −0.556684 | + | 0.855005i | ||||
\(635\) | 0.198083 | − | 0.343090i | 0.00786069 | − | 0.0136151i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −83.4293 | − | 30.3658i | −3.30559 | − | 1.20314i | ||||
\(638\) | 9.25831 | + | 0.496176i | 0.366540 | + | 0.0196438i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 23.9510 | − | 8.02605i | 0.946745 | − | 0.317258i | ||||
\(641\) | 29.2902 | − | 34.9067i | 1.15689 | − | 1.37873i | 0.244383 | − | 0.969679i | \(-0.421415\pi\) |
0.912511 | − | 0.409053i | \(-0.134141\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −31.0354 | − | 5.47238i | −1.22392 | − | 0.215810i | −0.475906 | − | 0.879496i | \(-0.657880\pi\) |
−0.748011 | + | 0.663686i | \(0.768991\pi\) | |||||||
\(644\) | −18.4940 | − | 5.35039i | −0.728765 | − | 0.210835i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.1819 | + | 29.2184i | −0.518635 | + | 1.14958i | ||||
\(647\) | −29.0580 | −1.14239 | −0.571193 | − | 0.820815i | \(-0.693519\pi\) | ||||
−0.571193 | + | 0.820815i | \(0.693519\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.24891 | − | 12.7542i | 0.0882774 | − | 0.500646i | ||||
\(650\) | −0.0510307 | + | 0.119827i | −0.00200159 | + | 0.00470001i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.3220 | + | 31.2273i | −0.600056 | + | 1.22296i | ||||
\(653\) | −0.791559 | + | 0.457007i | −0.0309761 | + | 0.0178841i | −0.515408 | − | 0.856945i | \(-0.672360\pi\) |
0.484432 | + | 0.874829i | \(0.339026\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.732583 | − | 2.01276i | 0.0286244 | − | 0.0786449i | ||||
\(656\) | 12.7749 | + | 0.506560i | 0.498775 | + | 0.0197778i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −26.9043 | + | 41.3220i | −1.04884 | + | 1.61090i | ||||
\(659\) | 5.27629 | + | 29.9233i | 0.205535 | + | 1.16565i | 0.896595 | + | 0.442851i | \(0.146033\pi\) |
−0.691060 | + | 0.722797i | \(0.742856\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.8311 | + | 25.0312i | −1.16029 | + | 0.973602i | −0.999910 | − | 0.0134522i | \(-0.995718\pi\) |
−0.160385 | + | 0.987055i | \(0.551273\pi\) | |||||||
\(662\) | 15.7256 | − | 4.78751i | 0.611195 | − | 0.186072i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.81568 | + | 35.8950i | −0.225692 | + | 1.39299i | ||||
\(665\) | −44.3329 | − | 8.79014i | −1.71916 | − | 0.340867i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.33436 | + | 11.9086i | 0.167827 | + | 0.461101i | ||||
\(668\) | −7.48326 | − | 7.78587i | −0.289536 | − | 0.301244i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.872055 | + | 0.202415i | 0.0336904 | + | 0.00781998i | ||||
\(671\) | −0.0266348 | − | 0.151053i | −0.00102822 | − | 0.00583135i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.92044 | − | 5.05835i | 0.112575 | − | 0.194985i | −0.804233 | − | 0.594314i | \(-0.797424\pi\) |
0.916808 | + | 0.399329i | \(0.130757\pi\) | |||||||
\(674\) | 3.77646 | − | 0.459163i | 0.145464 | − | 0.0176863i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 19.5386 | + | 44.1650i | 0.751485 | + | 1.69865i | ||||
\(677\) | 18.8051 | − | 10.8571i | 0.722738 | − | 0.417273i | −0.0930215 | − | 0.995664i | \(-0.529653\pi\) |
0.815760 | + | 0.578391i | \(0.196319\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.8396 | − | 15.3016i | 0.492738 | − | 0.587223i | ||||
\(680\) | −16.8126 | − | 28.2068i | −0.644732 | − | 1.08168i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 9.35668 | + | 8.74594i | 0.358286 | + | 0.334899i | ||||
\(683\) | −8.14029 | −0.311479 | −0.155740 | − | 0.987798i | \(-0.549776\pi\) | ||||
−0.155740 | + | 0.987798i | \(0.549776\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 19.8447 | 0.758229 | ||||||||
\(686\) | −36.3065 | − | 33.9366i | −1.38619 | − | 1.29571i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.935668 | + | 1.48175i | −0.0356720 | + | 0.0564914i | ||||
\(689\) | −51.0643 | + | 60.8560i | −1.94539 | + | 2.31843i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.2640 | − | 16.8956i | 1.11325 | − | 0.642738i | 0.173584 | − | 0.984819i | \(-0.444465\pi\) |
0.939670 | + | 0.342081i | \(0.111132\pi\) | |||||||
\(692\) | 21.5420 | − | 9.53021i | 0.818906 | − | 0.362284i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.1894 | − | 5.25121i | 1.63945 | − | 0.199333i | ||||
\(695\) | 1.28991 | − | 2.23419i | 0.0489290 | − | 0.0847475i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.88604 | − | 16.3675i | −0.109316 | − | 0.619964i | ||||
\(698\) | −24.0551 | − | 5.58350i | −0.910500 | − | 0.211339i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.101186 | + | 0.0972527i | −0.00382445 | + | 0.00367581i | ||||
\(701\) | −8.85715 | − | 24.3348i | −0.334530 | − | 0.919114i | −0.986917 | − | 0.161228i | \(-0.948455\pi\) |
0.652387 | − | 0.757886i | \(-0.273768\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0790508 | + | 3.72756i | −0.00298146 | + | 0.140588i | ||||
\(704\) | 8.13971 | + | 2.70869i | 0.306777 | + | 0.102088i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.6559 | + | 6.89735i | −0.852667 | + | 0.259585i | ||||
\(707\) | 17.4742 | − | 14.6626i | 0.657184 | − | 0.551443i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.481137 | − | 2.72867i | −0.0180695 | − | 0.102477i | 0.974439 | − | 0.224652i | \(-0.0721244\pi\) |
−0.992509 | + | 0.122174i | \(0.961013\pi\) | |||||||
\(710\) | −7.11703 | + | 10.9310i | −0.267098 | + | 0.410232i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −33.3070 | − | 18.6170i | −1.24823 | − | 0.697700i | ||||
\(713\) | −5.98748 | + | 16.4505i | −0.224233 | + | 0.616075i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.6370 | − | 7.29600i | 0.472598 | − | 0.272855i | ||||
\(716\) | −1.70715 | − | 0.837632i | −0.0637992 | − | 0.0313038i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.37351 | − | 17.3140i | 0.275177 | − | 0.646153i | ||||
\(719\) | 6.44777 | − | 36.5671i | 0.240461 | − | 1.36372i | −0.590341 | − | 0.807154i | \(-0.701007\pi\) |
0.830802 | − | 0.556569i | \(-0.187882\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 55.6337 | 2.07191 | ||||||||
\(722\) | 19.1643 | − | 18.8343i | 0.713220 | − | 0.700941i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.07018 | − | 14.0689i | 0.151267 | − | 0.522865i | ||||
\(725\) | 0.0909780 | + | 0.0160419i | 0.00337884 | + | 0.000595780i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.8894 | − | 24.8951i | 0.774747 | − | 0.923307i | −0.223937 | − | 0.974604i | \(-0.571891\pi\) |
0.998683 | + | 0.0512965i | \(0.0163353\pi\) | |||||||
\(728\) | 1.11350 | + | 80.0497i | 0.0412689 | + | 2.96684i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −42.3503 | − | 2.26966i | −1.56745 | − | 0.0840038i | ||||
\(731\) | 2.14074 | + | 0.779167i | 0.0791782 | + | 0.0288185i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.33776 | + | 12.7094i | −0.271026 | + | 0.469432i | −0.969125 | − | 0.246570i | \(-0.920696\pi\) |
0.698098 | + | 0.716002i | \(0.254030\pi\) | |||||||
\(734\) | −26.3408 | + | 40.4566i | −0.972258 | + | 1.49328i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.952936 | + | 11.6868i | 0.0351257 | + | 0.430781i | ||||
\(737\) | 0.195429 | + | 0.232903i | 0.00719872 | + | 0.00857910i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.5851 | + | 45.5672i | 0.610093 | + | 1.67622i | 0.730012 | + | 0.683434i | \(0.239514\pi\) |
−0.119919 | + | 0.992784i | \(0.538263\pi\) | |||||||
\(740\) | −3.08471 | − | 2.25233i | −0.113396 | − | 0.0827971i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −76.3203 | + | 38.7736i | −2.80181 | + | 1.42342i | ||||
\(743\) | −19.4456 | + | 7.07760i | −0.713388 | + | 0.259652i | −0.673116 | − | 0.739537i | \(-0.735045\pi\) |
−0.0402720 | + | 0.999189i | \(0.512822\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.4399 | − | 17.1511i | 0.748859 | − | 0.628367i | ||||
\(746\) | −16.1033 | − | 3.73779i | −0.589585 | − | 0.136850i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.19189 | − | 11.0880i | 0.0435799 | − | 0.405418i | ||||
\(749\) | −16.3988 | − | 9.46787i | −0.599200 | − | 0.345948i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.9409 | + | 41.0498i | −0.545201 | + | 1.49793i | 0.294916 | + | 0.955523i | \(0.404708\pi\) |
−0.840117 | + | 0.542405i | \(0.817514\pi\) | |||||||
\(752\) | 29.3451 | + | 6.38258i | 1.07011 | + | 0.232749i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 42.1236 | − | 31.6645i | 1.53405 | − | 1.15315i | ||||
\(755\) | −3.60433 | − | 3.02439i | −0.131175 | − | 0.110069i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.947800 | − | 5.37524i | 0.0344484 | − | 0.195366i | −0.962727 | − | 0.270475i | \(-0.912819\pi\) |
0.997175 | + | 0.0751086i | \(0.0239304\pi\) | |||||||
\(758\) | 37.1435 | + | 34.7190i | 1.34911 | + | 1.26105i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.58204 | + | 27.1424i | 0.166208 | + | 0.984557i | ||||
\(761\) | − | 0.810479i | − | 0.0293798i | −0.999892 | − | 0.0146899i | \(-0.995324\pi\) | ||
0.999892 | − | 0.0146899i | \(-0.00467611\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 46.5017 | + | 8.19950i | 1.68347 | + | 0.296842i | ||||
\(764\) | 1.64386 | + | 24.3345i | 0.0594729 | + | 0.880390i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 21.3504 | + | 28.4027i | 0.771421 | + | 1.02623i | ||||
\(767\) | −36.8051 | − | 63.7483i | −1.32896 | − | 2.30182i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.5209 | + | 12.2006i | 1.20880 | + | 0.439966i | 0.866286 | − | 0.499548i | \(-0.166501\pi\) |
0.342510 | + | 0.939514i | \(0.388723\pi\) | |||||||
\(770\) | 15.6091 | − | 1.89784i | 0.562511 | − | 0.0683932i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −47.5889 | − | 5.11551i | −1.71276 | − | 0.184111i | ||||
\(773\) | −39.6694 | + | 6.99478i | −1.42681 | + | 0.251585i | −0.833112 | − | 0.553105i | \(-0.813443\pi\) |
−0.593696 | + | 0.804689i | \(0.702332\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.0820297 | + | 0.0977592i | 0.00294660 | + | 0.00351162i | ||||
\(776\) | −11.4887 | − | 4.00147i | −0.412420 | − | 0.143645i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.0649 | + | 27.6847i | 0.504251 | + | 0.992546i | ||||
\(779\) | −2.70963 | + | 13.6660i | −0.0970826 | + | 0.489635i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.16265 | + | 1.51508i | −0.148951 | + | 0.0542138i | ||||
\(782\) | 14.5821 | − | 4.43937i | 0.521456 | − | 0.158752i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −22.0827 | + | 53.9215i | −0.788667 | + | 1.92577i | ||||
\(785\) | −27.8014 | + | 4.90214i | −0.992274 | + | 0.174965i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.6980 | + | 10.7953i | 0.666511 | + | 0.384810i | 0.794753 | − | 0.606933i | \(-0.207600\pi\) |
−0.128243 | + | 0.991743i | \(0.540934\pi\) | |||||||
\(788\) | −0.530649 | − | 0.790744i | −0.0189036 | − | 0.0281691i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.914640 | − | 17.0666i | 0.0325414 | − | 0.607202i | ||||
\(791\) | −10.4808 | − | 18.1534i | −0.372656 | − | 0.645459i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.667836 | − | 0.560381i | −0.0237155 | − | 0.0198997i | ||||
\(794\) | 2.77976 | − | 6.52725i | 0.0986499 | − | 0.231643i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −34.1253 | − | 9.87258i | −1.20954 | − | 0.349924i | ||||
\(797\) | − | 14.4296i | − | 0.511123i | −0.966793 | − | 0.255561i | \(-0.917740\pi\) | ||
0.966793 | − | 0.255561i | \(-0.0822603\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 39.0397i | − | 1.38113i | ||||||
\(800\) | 0.0772531 | + | 0.0365808i | 0.00273131 | + | 0.00129333i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.6474 | + | 7.08961i | 0.587839 | + | 0.250343i | ||||
\(803\) | −11.0336 | − | 9.25825i | −0.389366 | − | 0.326717i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.7461 | + | 18.6128i | 0.378751 | + | 0.656017i | ||||
\(806\) | 72.6921 | + | 3.89575i | 2.56047 | + | 0.137222i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.1271 | − | 6.77843i | −0.426628 | − | 0.238464i | ||||
\(809\) | 30.6208 | + | 17.6789i | 1.07657 | + | 0.621558i | 0.929969 | − | 0.367638i | \(-0.119834\pi\) |
0.146600 | + | 0.989196i | \(0.453167\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −34.2209 | + | 6.03406i | −1.20166 | + | 0.211885i | −0.738414 | − | 0.674347i | \(-0.764425\pi\) |
−0.463242 | + | 0.886232i | \(0.653314\pi\) | |||||||
\(812\) | 55.1313 | − | 13.6075i | 1.93473 | − | 0.477530i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.377781 | − | 1.24091i | −0.0132412 | − | 0.0434937i | ||||
\(815\) | 36.4888 | − | 13.2808i | 1.27815 | − | 0.465208i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.43655 | − | 1.25826i | −0.0502585 | − | 0.0440210i | ||||
\(818\) | −35.4269 | + | 17.9982i | −1.23867 | + | 0.629294i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.89012 | − | 10.2901i | −0.345378 | − | 0.359345i | ||||
\(821\) | −28.5075 | − | 33.9739i | −0.994917 | − | 1.18570i | −0.982593 | − | 0.185772i | \(-0.940521\pi\) |
−0.0123243 | − | 0.999924i | \(-0.503923\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 41.7966 | − | 7.36987i | 1.45694 | − | 0.256898i | 0.611616 | − | 0.791154i | \(-0.290520\pi\) |
0.845322 | + | 0.534257i | \(0.179409\pi\) | |||||||
\(824\) | −12.0306 | − | 31.6758i | −0.419104 | − | 1.10348i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.57375 | − | 78.7408i | −0.333113 | − | 2.73974i | ||||
\(827\) | −18.9620 | − | 6.90159i | −0.659372 | − | 0.239992i | −0.00940667 | − | 0.999956i | \(-0.502994\pi\) |
−0.649965 | + | 0.759964i | \(0.725217\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.27182 | − | 2.20286i | −0.0441721 | − | 0.0765084i | 0.843094 | − | 0.537766i | \(-0.180732\pi\) |
−0.887266 | + | 0.461258i | \(0.847398\pi\) | |||||||
\(830\) | 32.4483 | − | 24.3915i | 1.12630 | − | 0.846643i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 45.3366 | − | 17.9444i | 1.57176 | − | 0.622110i | ||||
\(833\) | 74.5961 | + | 13.1533i | 2.58460 | + | 0.455735i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.0554i | 0.417195i | ||||||||
\(836\) | −4.29487 | + | 8.30328i | −0.148541 | + | 0.287175i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.7957 | − | 17.9686i | 0.580197 | − | 0.620714i | ||||
\(839\) | −8.72120 | + | 49.4604i | −0.301089 | + | 1.70756i | 0.340276 | + | 0.940326i | \(0.389480\pi\) |
−0.641365 | + | 0.767236i | \(0.721632\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.41876 | − | 5.38598i | −0.221336 | − | 0.185723i | ||||
\(842\) | 10.1448 | + | 13.4958i | 0.349614 | + | 0.465096i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −17.0894 | + | 7.56036i | −0.588241 | + | 0.260238i | ||||
\(845\) | 18.4392 | − | 50.6613i | 0.634328 | − | 1.74280i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −39.6157 | − | 22.8721i | −1.36121 | − | 0.785896i | ||||
\(848\) | 38.5802 | + | 35.0693i | 1.32485 | + | 1.20429i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.0251237 | − | 0.108239i | 0.000861736 | − | 0.00371257i | ||||
\(851\) | 1.35818 | − | 1.13965i | 0.0465580 | − | 0.0390668i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.3907 | − | 6.32971i | 0.595448 | − | 0.216725i | −0.0266760 | − | 0.999644i | \(-0.508492\pi\) |
0.622124 | + | 0.782919i | \(0.286270\pi\) | |||||||
\(854\) | −0.425503 | − | 0.837541i | −0.0145604 | − | 0.0286601i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.84448 | + | 11.3843i | −0.0630429 | + | 0.389107i | ||||
\(857\) | 17.2475 | + | 47.3871i | 0.589164 | + | 1.61871i | 0.772037 | + | 0.635578i | \(0.219238\pi\) |
−0.182873 | + | 0.983136i | \(0.558540\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.27338 | + | 7.47632i | 0.214045 | + | 0.255089i | 0.862374 | − | 0.506271i | \(-0.168976\pi\) |
−0.648329 | + | 0.761360i | \(0.724532\pi\) | |||||||
\(860\) | 1.89933 | − | 0.468793i | 0.0647667 | − | 0.0159857i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.8998 | + | 16.2119i | 0.848089 | + | 0.552181i | ||||
\(863\) | 17.3489 | − | 30.0491i | 0.590562 | − | 1.02288i | −0.403595 | − | 0.914938i | \(-0.632239\pi\) |
0.994157 | − | 0.107946i | \(-0.0344272\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −24.7107 | − | 8.99396i | −0.840189 | − | 0.305804i | ||||
\(866\) | 2.26519 | − | 42.2669i | 0.0769743 | − | 1.43629i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 70.4234 | + | 34.5540i | 2.39032 | + | 1.17284i | ||||
\(869\) | 3.73095 | − | 4.44637i | 0.126564 | − | 0.150833i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.70180 | + | 0.300074i | 0.0576634 | + | 0.0101676i | ||||
\(872\) | −5.38731 | − | 28.2494i | −0.182437 | − | 0.956647i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.7420 | − | 0.954178i | −0.431004 | − | 0.0322756i | ||||
\(875\) | 52.0000 | 1.75792 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.59817 | + | 9.06369i | −0.0539665 | + | 0.306059i | −0.999829 | − | 0.0185094i | \(-0.994108\pi\) |
0.945862 | + | 0.324568i | \(0.105219\pi\) | |||||||
\(878\) | −18.2492 | − | 7.77180i | −0.615882 | − | 0.262285i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.45595 | − | 8.47682i | −0.150210 | − | 0.285753i | ||||
\(881\) | −20.4252 | + | 11.7925i | −0.688143 | + | 0.397299i | −0.802916 | − | 0.596092i | \(-0.796719\pi\) |
0.114773 | + | 0.993392i | \(0.463386\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.2857 | − | 47.4921i | 0.581711 | − | 1.59824i | −0.203544 | − | 0.979066i | \(-0.565246\pi\) |
0.785255 | − | 0.619172i | \(-0.212532\pi\) | |||||||
\(884\) | −35.3201 | − | 52.6320i | −1.18794 | − | 1.77021i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.8673 | + | 12.9354i | 0.667455 | + | 0.434572i | ||||
\(887\) | 9.08332 | + | 51.5141i | 0.304988 | + | 1.72967i | 0.623561 | + | 0.781775i | \(0.285685\pi\) |
−0.318573 | + | 0.947898i | \(0.603204\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.631247 | − | 0.529679i | 0.0211713 | − | 0.0177649i | ||||
\(890\) | 12.4058 | + | 40.7496i | 0.415843 | + | 1.36593i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.87321 | + | 4.28837i | 0.196649 | + | 0.143585i | ||||
\(893\) | −11.8424 | + | 30.5079i | −0.396290 | + | 1.02091i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.726044 | + | 1.99479i | 0.0242690 | + | 0.0666785i | ||||
\(896\) | 52.5238 | + | 1.35137i | 1.75470 | + | 0.0451459i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.08701 | − | 4.68312i | 0.0362741 | − | 0.156278i | ||||
\(899\) | −8.96640 | − | 50.8510i | −0.299046 | − | 1.69597i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 33.8885 | − | 58.6965i | 1.12899 | − | 1.95546i | ||||
\(902\) | −0.585023 | − | 4.81162i | −0.0194791 | − | 0.160209i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.06941 | + | 9.89299i | −0.268385 | + | 0.329036i | ||||
\(905\) | −14.1593 | + | 8.17487i | −0.470670 | + | 0.271742i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −25.7092 | + | 30.6390i | −0.853659 | + | 1.01735i | 0.145947 | + | 0.989292i | \(0.453377\pi\) |
−0.999606 | + | 0.0280587i | \(0.991067\pi\) | |||||||
\(908\) | 1.63585 | + | 24.2158i | 0.0542875 | + | 0.803630i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 61.0285 | − | 65.2902i | 2.02307 | − | 2.16435i | ||||
\(911\) | −14.3208 | −0.474468 | −0.237234 | − | 0.971453i | \(-0.576241\pi\) | ||||
−0.237234 | + | 0.971453i | \(0.576241\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.7861 | 0.456252 | ||||||||
\(914\) | −1.62874 | + | 1.74248i | −0.0538740 | + | 0.0576361i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.29701 | + | 34.0032i | 0.0758954 | + | 1.12350i | ||||
\(917\) | 2.86378 | − | 3.41292i | 0.0945704 | − | 0.112705i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −34.9172 | + | 20.1595i | −1.15181 | + | 0.665000i | −0.949328 | − | 0.314286i | \(-0.898235\pi\) |
−0.202485 | + | 0.979285i | \(0.564902\pi\) | |||||||
\(920\) | 8.27366 | − | 10.1434i | 0.272774 | − | 0.334418i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.51556 | + | 28.9143i | 0.115779 | + | 0.952243i | ||||
\(923\) | −12.5890 | + | 21.8047i | −0.414371 | + | 0.717712i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.00224433 | − | 0.0127282i | −7.37931e−5 | − | 0.000418501i | ||||
\(926\) | −1.33117 | + | 5.73502i | −0.0437450 | + | 0.188464i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −19.6695 | − | 28.4472i | −0.645684 | − | 0.933824i | ||||
\(929\) | 2.21580 | + | 6.08786i | 0.0726981 | + | 0.199736i | 0.970720 | − | 0.240215i | \(-0.0772179\pi\) |
−0.898022 | + | 0.439951i | \(0.854996\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −54.3038 | − | 32.9069i | −1.77974 | − | 1.07848i | ||||
\(932\) | −14.4104 | − | 10.5219i | −0.472027 | − | 0.344655i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.05699 | − | 10.0414i | −0.100028 | − | 0.328564i | ||||
\(935\) | −9.53676 | + | 8.00229i | −0.311885 | + | 0.261703i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.62835 | + | 9.23485i | 0.0531960 | + | 0.301689i | 0.999785 | − | 0.0207544i | \(-0.00660680\pi\) |
−0.946589 | + | 0.322444i | \(0.895496\pi\) | |||||||
\(938\) | 1.56050 | + | 1.01602i | 0.0509522 | + | 0.0331744i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −18.6813 | − | 27.8378i | −0.609317 | − | 0.907970i | ||||
\(941\) | −10.2784 | + | 28.2397i | −0.335066 | + | 0.920587i | 0.651706 | + | 0.758472i | \(0.274054\pi\) |
−0.986772 | + | 0.162115i | \(0.948169\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.73756 | − | 3.31258i | 0.186841 | − | 0.107873i | ||||
\(944\) | −42.7618 | + | 22.4783i | −1.39178 | + | 0.731607i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.611270 | + | 0.260321i | 0.0198741 | + | 0.00846378i | ||||
\(947\) | −0.621313 | + | 3.52364i | −0.0201900 | + | 0.114503i | −0.993237 | − | 0.116103i | \(-0.962960\pi\) |
0.973047 | + | 0.230606i | \(0.0740708\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −81.8650 | −2.65745 | ||||||||
\(950\) | −0.0524666 | + | 0.0769634i | −0.00170224 | + | 0.00249702i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.7949 | − | 67.0930i | −0.414687 | − | 2.17450i | ||||
\(953\) | 11.3898 | + | 2.00834i | 0.368953 | + | 0.0650564i | 0.355051 | − | 0.934847i | \(-0.384464\pi\) |
0.0139022 | + | 0.999903i | \(0.495575\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17.5015 | − | 20.8575i | 0.566336 | − | 0.674932i | ||||
\(956\) | −11.0197 | − | 5.40692i | −0.356401 | − | 0.174872i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.77170 | − | 51.7181i | 0.0895496 | − | 1.67094i | ||||
\(959\) | 38.7881 | + | 14.1177i | 1.25253 | + | 0.455885i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.1646 | − | 34.9260i | 0.650469 | − | 1.12665i | ||||
\(962\) | −6.17846 | − | 4.02272i | −0.199202 | − | 0.129698i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.26203 | + | 1.05195i | −0.137271 | + | 0.0338811i | ||||
\(965\) | 34.3452 | + | 40.9310i | 1.10561 | + | 1.31761i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.0611 | + | 27.6427i | 0.323544 | + | 0.888928i | 0.989705 | + | 0.143121i | \(0.0457138\pi\) |
−0.666162 | + | 0.745807i | \(0.732064\pi\) | |||||||
\(968\) | −4.45582 | + | 27.5017i | −0.143215 | + | 0.883939i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.15134 | + | 12.1080i | 0.197508 | + | 0.388765i | ||||
\(971\) | 6.79796 | − | 2.47426i | 0.218157 | − | 0.0794027i | −0.230630 | − | 0.973042i | \(-0.574079\pi\) |
0.448787 | + | 0.893639i | \(0.351856\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.11065 | − | 3.44924i | 0.131781 | − | 0.110578i | ||||
\(974\) | −3.51581 | + | 15.1470i | −0.112654 | + | 0.485341i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.384852 | + | 0.423380i | −0.0123188 | + | 0.0135521i | ||||
\(977\) | −19.3199 | − | 11.1543i | −0.618098 | − | 0.356859i | 0.158030 | − | 0.987434i | \(-0.449486\pi\) |
−0.776128 | + | 0.630575i | \(0.782819\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4.94771 | + | 13.5937i | −0.158130 | + | 0.434457i | ||||
\(980\) | 59.4860 | − | 26.3166i | 1.90021 | − | 0.840653i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.503457 | − | 0.669755i | −0.0160660 | − | 0.0213727i | ||||
\(983\) | −24.9318 | − | 20.9202i | −0.795200 | − | 0.667252i | 0.151826 | − | 0.988407i | \(-0.451485\pi\) |
−0.947027 | + | 0.321155i | \(0.895929\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.184603 | + | 1.04694i | −0.00588195 | + | 0.0333582i | ||||
\(986\) | −30.7013 | + | 32.8452i | −0.977727 | + | 1.04600i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.6357 | + | 51.8438i | 0.370182 | + | 1.64937i | ||||
\(989\) | 0.908122i | 0.0288766i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −33.1761 | − | 5.84984i | −1.05387 | − | 0.185826i | −0.380237 | − | 0.924889i | \(-0.624158\pi\) |
−0.673637 | + | 0.739063i | \(0.735269\pi\) | |||||||
\(992\) | 4.44500 | − | 47.5686i | 0.141129 | − | 1.51031i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −21.6872 | + | 16.3023i | −0.687876 | + | 0.517079i | ||||
\(995\) | 19.8289 | + | 34.3446i | 0.628617 | + | 1.08880i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −40.5883 | − | 14.7729i | −1.28544 | − | 0.467863i | −0.393215 | − | 0.919447i | \(-0.628637\pi\) |
−0.892229 | + | 0.451583i | \(0.850859\pi\) | |||||||
\(998\) | 2.82201 | + | 23.2101i | 0.0893293 | + | 0.734703i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 684.2.ce.a.575.10 | yes | 240 | |
3.2 | odd | 2 | inner | 684.2.ce.a.575.31 | yes | 240 | |
4.3 | odd | 2 | inner | 684.2.ce.a.575.39 | yes | 240 | |
12.11 | even | 2 | inner | 684.2.ce.a.575.2 | yes | 240 | |
19.4 | even | 9 | inner | 684.2.ce.a.251.2 | ✓ | 240 | |
57.23 | odd | 18 | inner | 684.2.ce.a.251.39 | yes | 240 | |
76.23 | odd | 18 | inner | 684.2.ce.a.251.31 | yes | 240 | |
228.23 | even | 18 | inner | 684.2.ce.a.251.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
684.2.ce.a.251.2 | ✓ | 240 | 19.4 | even | 9 | inner | |
684.2.ce.a.251.10 | yes | 240 | 228.23 | even | 18 | inner | |
684.2.ce.a.251.31 | yes | 240 | 76.23 | odd | 18 | inner | |
684.2.ce.a.251.39 | yes | 240 | 57.23 | odd | 18 | inner | |
684.2.ce.a.575.2 | yes | 240 | 12.11 | even | 2 | inner | |
684.2.ce.a.575.10 | yes | 240 | 1.1 | even | 1 | trivial | |
684.2.ce.a.575.31 | yes | 240 | 3.2 | odd | 2 | inner | |
684.2.ce.a.575.39 | yes | 240 | 4.3 | odd | 2 | inner |