Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 43.13 |
Dual form | 43.2.g.a.10.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.188565 | − | 0.826155i | 0.133335 | − | 0.584180i | −0.863476 | − | 0.504389i | \(-0.831718\pi\) |
0.996812 | − | 0.0797907i | \(-0.0254252\pi\) | |||||||
\(3\) | −0.0129300 | + | 0.0119973i | −0.00746512 | + | 0.00692662i | −0.683896 | − | 0.729579i | \(-0.739716\pi\) |
0.676431 | + | 0.736506i | \(0.263526\pi\) | |||||||
\(4\) | 1.15496 | + | 0.556200i | 0.577481 | + | 0.278100i | ||||
\(5\) | −3.39819 | − | 0.512194i | −1.51972 | − | 0.229060i | −0.664483 | − | 0.747304i | \(-0.731348\pi\) |
−0.855233 | + | 0.518243i | \(0.826586\pi\) | |||||||
\(6\) | 0.00747346 | + | 0.0129444i | 0.00305103 | + | 0.00528454i | ||||
\(7\) | −0.134521 | + | 0.232998i | −0.0508443 | + | 0.0880650i | −0.890327 | − | 0.455321i | \(-0.849525\pi\) |
0.839483 | + | 0.543386i | \(0.182858\pi\) | |||||||
\(8\) | 1.73398 | − | 2.17435i | 0.613056 | − | 0.768748i | ||||
\(9\) | −0.224167 | + | 2.99130i | −0.0747223 | + | 0.997100i | ||||
\(10\) | −1.06393 | + | 2.71085i | −0.336444 | + | 0.857246i | ||||
\(11\) | −2.96782 | + | 1.42923i | −0.894833 | + | 0.430929i | −0.824020 | − | 0.566561i | \(-0.808274\pi\) |
−0.0708129 | + | 0.997490i | \(0.522559\pi\) | |||||||
\(12\) | −0.0216065 | + | 0.00666472i | −0.00623726 | + | 0.00192394i | ||||
\(13\) | −0.736485 | − | 1.87653i | −0.204264 | − | 0.520457i | 0.791628 | − | 0.611003i | \(-0.209234\pi\) |
−0.995892 | + | 0.0905467i | \(0.971139\pi\) | |||||||
\(14\) | 0.167127 | + | 0.155071i | 0.0446665 | + | 0.0414444i | ||||
\(15\) | 0.0500834 | − | 0.0341463i | 0.0129315 | − | 0.00881653i | ||||
\(16\) | 0.129136 | + | 0.161931i | 0.0322839 | + | 0.0404827i | ||||
\(17\) | 6.37398 | − | 0.960723i | 1.54592 | − | 0.233010i | 0.680006 | − | 0.733207i | \(-0.261977\pi\) |
0.865911 | + | 0.500197i | \(0.166739\pi\) | |||||||
\(18\) | 2.42901 | + | 0.749250i | 0.572523 | + | 0.176600i | ||||
\(19\) | −0.449267 | − | 5.99506i | −0.103069 | − | 1.37536i | −0.773692 | − | 0.633562i | \(-0.781592\pi\) |
0.670623 | − | 0.741798i | \(-0.266027\pi\) | |||||||
\(20\) | −3.63989 | − | 2.48164i | −0.813905 | − | 0.554911i | ||||
\(21\) | −0.00105598 | − | 0.00462655i | −0.000230434 | − | 0.00100960i | ||||
\(22\) | 0.621139 | + | 2.72139i | 0.132427 | + | 0.580201i | ||||
\(23\) | −1.83546 | − | 1.25139i | −0.382719 | − | 0.260934i | 0.356644 | − | 0.934240i | \(-0.383921\pi\) |
−0.739363 | + | 0.673307i | \(0.764873\pi\) | |||||||
\(24\) | 0.00366585 | + | 0.0489173i | 0.000748288 | + | 0.00998521i | ||||
\(25\) | 6.50747 | + | 2.00729i | 1.30149 | + | 0.401458i | ||||
\(26\) | −1.68918 | + | 0.254603i | −0.331276 | + | 0.0499318i | ||||
\(27\) | −0.0659813 | − | 0.0827379i | −0.0126981 | − | 0.0159229i | ||||
\(28\) | −0.284961 | + | 0.194283i | −0.0538525 | + | 0.0367160i | ||||
\(29\) | 1.75989 | + | 1.63294i | 0.326803 | + | 0.303229i | 0.826461 | − | 0.562994i | \(-0.190351\pi\) |
−0.499658 | + | 0.866223i | \(0.666541\pi\) | |||||||
\(30\) | −0.0187662 | − | 0.0478154i | −0.00342622 | − | 0.00872986i | ||||
\(31\) | −4.93996 | + | 1.52378i | −0.887243 | + | 0.273678i | −0.704688 | − | 0.709517i | \(-0.748913\pi\) |
−0.182555 | + | 0.983196i | \(0.558437\pi\) | |||||||
\(32\) | 5.16949 | − | 2.48950i | 0.913846 | − | 0.440085i | ||||
\(33\) | 0.0212271 | − | 0.0540856i | 0.00369516 | − | 0.00941510i | ||||
\(34\) | 0.408200 | − | 5.44706i | 0.0700058 | − | 0.934162i | ||||
\(35\) | 0.576470 | − | 0.722870i | 0.0974411 | − | 0.122187i | ||||
\(36\) | −1.92267 | + | 3.33016i | −0.320444 | + | 0.555026i | ||||
\(37\) | 2.63757 | + | 4.56841i | 0.433615 | + | 0.751042i | 0.997181 | − | 0.0750281i | \(-0.0239046\pi\) |
−0.563567 | + | 0.826070i | \(0.690571\pi\) | |||||||
\(38\) | −5.03756 | − | 0.759291i | −0.817201 | − | 0.123173i | ||||
\(39\) | 0.0320360 | + | 0.0154277i | 0.00512986 | + | 0.00247041i | ||||
\(40\) | −7.00609 | + | 6.50071i | −1.10776 | + | 1.02785i | ||||
\(41\) | −0.643386 | + | 2.81886i | −0.100480 | + | 0.440232i | 0.899514 | + | 0.436891i | \(0.143921\pi\) |
−0.999994 | + | 0.00334069i | \(0.998937\pi\) | |||||||
\(42\) | −0.00402137 | −0.000620510 | ||||||||
\(43\) | −4.01778 | + | 5.18242i | −0.612705 | + | 0.790311i | ||||
\(44\) | −4.22266 | −0.636590 | ||||||||
\(45\) | 2.29389 | − | 10.0502i | 0.341953 | − | 1.49819i | ||||
\(46\) | −1.37995 | + | 1.28040i | −0.203462 | + | 0.188785i | ||||
\(47\) | −5.31835 | − | 2.56118i | −0.775761 | − | 0.373587i | 0.00373559 | − | 0.999993i | \(-0.498811\pi\) |
−0.779497 | + | 0.626406i | \(0.784525\pi\) | |||||||
\(48\) | −0.00361245 | 0.000544488i | −0.000521412 | 7.85901e-5i | ||||||
\(49\) | 3.46381 | + | 5.99949i | 0.494830 | + | 0.857070i | ||||
\(50\) | 2.88541 | − | 4.99768i | 0.408059 | − | 0.706778i | ||||
\(51\) | −0.0708893 | + | 0.0888924i | −0.00992649 | + | 0.0124474i | ||||
\(52\) | 0.193116 | − | 2.57696i | 0.0267804 | − | 0.357360i | ||||
\(53\) | 2.34453 | − | 5.97377i | 0.322046 | − | 0.820561i | −0.674558 | − | 0.738222i | \(-0.735666\pi\) |
0.996604 | − | 0.0823389i | \(-0.0262390\pi\) | |||||||
\(54\) | −0.0807961 | + | 0.0389094i | −0.0109950 | + | 0.00529489i | ||||
\(55\) | 10.8173 | − | 3.33669i | 1.45860 | − | 0.449919i | ||||
\(56\) | 0.273361 | + | 0.696512i | 0.0365294 | + | 0.0930753i | ||||
\(57\) | 0.0777333 | + | 0.0721259i | 0.0102960 | + | 0.00955331i | ||||
\(58\) | 1.68091 | − | 1.14603i | 0.220715 | − | 0.150481i | ||||
\(59\) | 8.36244 | + | 10.4862i | 1.08870 | + | 1.36518i | 0.925569 | + | 0.378578i | \(0.123587\pi\) |
0.163128 | + | 0.986605i | \(0.447842\pi\) | |||||||
\(60\) | 0.0768366 | − | 0.0115813i | 0.00991956 | − | 0.00149513i | ||||
\(61\) | −9.50158 | − | 2.93085i | −1.21655 | − | 0.375257i | −0.380952 | − | 0.924595i | \(-0.624404\pi\) |
−0.835600 | + | 0.549338i | \(0.814880\pi\) | |||||||
\(62\) | 0.327374 | + | 4.36851i | 0.0415766 | + | 0.554801i | ||||
\(63\) | −0.666812 | − | 0.454625i | −0.0840104 | − | 0.0572773i | ||||
\(64\) | −0.989752 | − | 4.33638i | −0.123719 | − | 0.542048i | ||||
\(65\) | 1.54156 | + | 6.75403i | 0.191208 | + | 0.837735i | ||||
\(66\) | −0.0406805 | − | 0.0277355i | −0.00500742 | − | 0.00341400i | ||||
\(67\) | −0.950106 | − | 12.6783i | −0.116074 | − | 1.54890i | −0.686243 | − | 0.727372i | \(-0.740741\pi\) |
0.570169 | − | 0.821527i | \(-0.306878\pi\) | |||||||
\(68\) | 7.89606 | + | 2.43561i | 0.957538 | + | 0.295361i | ||||
\(69\) | 0.0387457 | − | 0.00583998i | 0.00466443 | − | 0.000703050i | ||||
\(70\) | −0.488501 | − | 0.612561i | −0.0583870 | − | 0.0732150i | ||||
\(71\) | −4.98725 | + | 3.40025i | −0.591877 | + | 0.403535i | −0.821885 | − | 0.569654i | \(-0.807077\pi\) |
0.230007 | + | 0.973189i | \(0.426125\pi\) | |||||||
\(72\) | 6.11543 | + | 5.67429i | 0.720710 | + | 0.668721i | ||||
\(73\) | 0.609746 | + | 1.55361i | 0.0713654 | + | 0.181836i | 0.962106 | − | 0.272676i | \(-0.0879088\pi\) |
−0.890740 | + | 0.454512i | \(0.849814\pi\) | |||||||
\(74\) | 4.27157 | − | 1.31761i | 0.496560 | − | 0.153168i | ||||
\(75\) | −0.108223 | + | 0.0521176i | −0.0124966 | + | 0.00601803i | ||||
\(76\) | 2.81557 | − | 7.17394i | 0.322968 | − | 0.822908i | ||||
\(77\) | 0.0662286 | − | 0.883759i | 0.00754745 | − | 0.100714i | ||||
\(78\) | 0.0187865 | − | 0.0235576i | 0.00212716 | − | 0.00266737i | ||||
\(79\) | 6.97172 | − | 12.0754i | 0.784380 | − | 1.35859i | −0.144989 | − | 0.989433i | \(-0.546315\pi\) |
0.929369 | − | 0.369153i | \(-0.120352\pi\) | |||||||
\(80\) | −0.355887 | − | 0.616414i | −0.0397893 | − | 0.0689172i | ||||
\(81\) | −8.89671 | − | 1.34096i | −0.988523 | − | 0.148996i | ||||
\(82\) | 2.20750 | + | 1.06307i | 0.243777 | + | 0.117397i | ||||
\(83\) | −5.60384 | + | 5.19960i | −0.615101 | + | 0.570731i | −0.924966 | − | 0.380050i | \(-0.875907\pi\) |
0.309864 | + | 0.950781i | \(0.399716\pi\) | |||||||
\(84\) | 0.00135367 | − | 0.00593082i | 0.000147698 | − | 0.000647106i | ||||
\(85\) | −22.1521 | −2.40273 | ||||||||
\(86\) | 3.52387 | + | 4.29653i | 0.379989 | + | 0.463307i | ||||
\(87\) | −0.0423461 | −0.00453998 | ||||||||
\(88\) | −2.03852 | + | 8.93135i | −0.217307 | + | 0.952085i | ||||
\(89\) | −1.32654 | + | 1.23085i | −0.140613 | + | 0.130470i | −0.747344 | − | 0.664437i | \(-0.768671\pi\) |
0.606730 | + | 0.794908i | \(0.292481\pi\) | |||||||
\(90\) | −7.87047 | − | 3.79022i | −0.829620 | − | 0.399524i | ||||
\(91\) | 0.536302 | + | 0.0808345i | 0.0562197 | + | 0.00847375i | ||||
\(92\) | −1.42386 | − | 2.46619i | −0.148447 | − | 0.257118i | ||||
\(93\) | 0.0455924 | − | 0.0789684i | 0.00472771 | − | 0.00818864i | ||||
\(94\) | −3.11879 | + | 3.91084i | −0.321678 | + | 0.403372i | ||||
\(95\) | −1.54394 | + | 20.6024i | −0.158405 | + | 2.11377i | ||||
\(96\) | −0.0369742 | + | 0.0942088i | −0.00377367 | + | 0.00961515i | ||||
\(97\) | 2.36508 | − | 1.13896i | 0.240138 | − | 0.115644i | −0.309945 | − | 0.950755i | \(-0.600311\pi\) |
0.550082 | + | 0.835110i | \(0.314596\pi\) | |||||||
\(98\) | 5.60966 | − | 1.73035i | 0.566662 | − | 0.174792i | ||||
\(99\) | −3.60997 | − | 9.19804i | −0.362815 | − | 0.924438i | ||||
\(100\) | 6.39943 | + | 5.93780i | 0.639943 | + | 0.593780i | ||||
\(101\) | 7.32150 | − | 4.99172i | 0.728517 | − | 0.496694i | −0.141363 | − | 0.989958i | \(-0.545149\pi\) |
0.869880 | + | 0.493264i | \(0.164196\pi\) | |||||||
\(102\) | 0.0600717 | + | 0.0753275i | 0.00594799 | + | 0.00745854i | ||||
\(103\) | −0.748654 | + | 0.112841i | −0.0737671 | + | 0.0111186i | −0.185822 | − | 0.982583i | \(-0.559495\pi\) |
0.112055 | + | 0.993702i | \(0.464257\pi\) | |||||||
\(104\) | −5.35729 | − | 1.65251i | −0.525326 | − | 0.162041i | ||||
\(105\) | 0.00121872 | + | 0.0162627i | 0.000118935 | + | 0.00158708i | ||||
\(106\) | −4.49317 | − | 3.06339i | −0.436415 | − | 0.297543i | ||||
\(107\) | 0.737592 | + | 3.23160i | 0.0713057 | + | 0.312411i | 0.997986 | − | 0.0634408i | \(-0.0202074\pi\) |
−0.926680 | + | 0.375852i | \(0.877350\pi\) | |||||||
\(108\) | −0.0301870 | − | 0.132258i | −0.00290475 | − | 0.0127265i | ||||
\(109\) | 8.34007 | + | 5.68616i | 0.798833 | + | 0.544635i | 0.892542 | − | 0.450964i | \(-0.148920\pi\) |
−0.0937085 | + | 0.995600i | \(0.529872\pi\) | |||||||
\(110\) | −0.716867 | − | 9.56592i | −0.0683506 | − | 0.912075i | ||||
\(111\) | −0.0889122 | − | 0.0274258i | −0.00843917 | − | 0.00260314i | ||||
\(112\) | −0.0551011 | + | 0.00830515i | −0.00520656 | + | 0.000784763i | ||||
\(113\) | −3.49529 | − | 4.38295i | −0.328809 | − | 0.412313i | 0.589757 | − | 0.807581i | \(-0.299223\pi\) |
−0.918566 | + | 0.395267i | \(0.870652\pi\) | |||||||
\(114\) | 0.0742450 | − | 0.0506194i | 0.00695368 | − | 0.00474094i | ||||
\(115\) | 5.59627 | + | 5.19258i | 0.521855 | + | 0.484211i | ||||
\(116\) | 1.12436 | + | 2.86483i | 0.104394 | + | 0.265993i | ||||
\(117\) | 5.77837 | − | 1.78239i | 0.534211 | − | 0.164782i | ||||
\(118\) | 10.2401 | − | 4.93135i | 0.942674 | − | 0.453968i | ||||
\(119\) | −0.633591 | + | 1.61436i | −0.0580812 | + | 0.147988i | ||||
\(120\) | 0.0125979 | − | 0.168108i | 0.00115003 | − | 0.0153461i | ||||
\(121\) | −0.0931005 | + | 0.116744i | −0.00846368 | + | 0.0106131i | ||||
\(122\) | −4.21300 | + | 7.29713i | −0.381427 | + | 0.660651i | ||||
\(123\) | −0.0254996 | − | 0.0441666i | −0.00229922 | − | 0.00398237i | ||||
\(124\) | −6.55299 | − | 0.987705i | −0.588476 | − | 0.0886985i | ||||
\(125\) | −5.60427 | − | 2.69887i | −0.501261 | − | 0.241395i | ||||
\(126\) | −0.501328 | + | 0.465164i | −0.0446618 | + | 0.0414401i | ||||
\(127\) | 2.06730 | − | 9.05743i | 0.183443 | − | 0.803717i | −0.796532 | − | 0.604597i | \(-0.793334\pi\) |
0.979975 | − | 0.199121i | \(-0.0638086\pi\) | |||||||
\(128\) | 7.70625 | 0.681142 | ||||||||
\(129\) | −0.0102251 | − | 0.115211i | −0.000900267 | − | 0.0101437i | ||||
\(130\) | 5.87057 | 0.514883 | ||||||||
\(131\) | 1.20701 | − | 5.28827i | 0.105457 | − | 0.462039i | −0.894433 | − | 0.447203i | \(-0.852420\pi\) |
0.999890 | − | 0.0148359i | \(-0.00472260\pi\) | |||||||
\(132\) | 0.0545989 | − | 0.0506604i | 0.00475222 | − | 0.00440942i | ||||
\(133\) | 1.45727 | + | 0.701786i | 0.126362 | + | 0.0608525i | ||||
\(134\) | −10.6534 | − | 1.60574i | −0.920313 | − | 0.138715i | ||||
\(135\) | 0.181839 | + | 0.314954i | 0.0156502 | + | 0.0271069i | ||||
\(136\) | 8.96344 | − | 15.5251i | 0.768609 | − | 1.33127i | ||||
\(137\) | 6.88665 | − | 8.63559i | 0.588366 | − | 0.737788i | −0.395148 | − | 0.918617i | \(-0.629307\pi\) |
0.983514 | + | 0.180829i | \(0.0578782\pi\) | |||||||
\(138\) | 0.00248134 | − | 0.0331112i | 0.000211226 | − | 0.00281861i | ||||
\(139\) | −2.80876 | + | 7.15661i | −0.238236 | + | 0.607016i | −0.999123 | − | 0.0418687i | \(-0.986669\pi\) |
0.760887 | + | 0.648884i | \(0.224764\pi\) | |||||||
\(140\) | 1.06786 | − | 0.514255i | 0.0902507 | − | 0.0434624i | ||||
\(141\) | 0.0994933 | − | 0.0306896i | 0.00837885 | − | 0.00258453i | ||||
\(142\) | 1.86871 | + | 4.76141i | 0.156819 | + | 0.399568i | ||||
\(143\) | 4.86775 | + | 4.51662i | 0.407062 | + | 0.377698i | ||||
\(144\) | −0.513332 | + | 0.349984i | −0.0427777 | + | 0.0291653i | ||||
\(145\) | −5.14405 | − | 6.45043i | −0.427190 | − | 0.535679i | ||||
\(146\) | 1.39850 | − | 0.210790i | 0.115741 | − | 0.0174451i | ||||
\(147\) | −0.116764 | − | 0.0360170i | −0.00963056 | − | 0.00297064i | ||||
\(148\) | 0.505345 | + | 6.74336i | 0.0415391 | + | 0.554301i | ||||
\(149\) | −0.776822 | − | 0.529628i | −0.0636397 | − | 0.0433888i | 0.531082 | − | 0.847320i | \(-0.321785\pi\) |
−0.594722 | + | 0.803931i | \(0.702738\pi\) | |||||||
\(150\) | 0.0226502 | + | 0.0992369i | 0.00184938 | + | 0.00810266i | ||||
\(151\) | 2.44733 | + | 10.7224i | 0.199161 | + | 0.872579i | 0.971438 | + | 0.237294i | \(0.0762604\pi\) |
−0.772277 | + | 0.635285i | \(0.780882\pi\) | |||||||
\(152\) | −13.8144 | − | 9.41847i | −1.12049 | − | 0.763939i | ||||
\(153\) | 1.44498 | + | 19.2819i | 0.116819 | + | 1.55885i | ||||
\(154\) | −0.717634 | − | 0.221361i | −0.0578286 | − | 0.0178378i | ||||
\(155\) | 17.5674 | − | 2.64786i | 1.41105 | − | 0.212681i | ||||
\(156\) | 0.0284194 | + | 0.0356368i | 0.00227538 | + | 0.00285323i | ||||
\(157\) | −15.8917 | + | 10.8348i | −1.26829 | + | 0.864708i | −0.995256 | − | 0.0972949i | \(-0.968981\pi\) |
−0.273038 | + | 0.962003i | \(0.588029\pi\) | |||||||
\(158\) | −8.66152 | − | 8.03671i | −0.689073 | − | 0.639366i | ||||
\(159\) | 0.0413542 | + | 0.105369i | 0.00327960 | + | 0.00835628i | ||||
\(160\) | −18.8420 | + | 5.81199i | −1.48959 | + | 0.459478i | ||||
\(161\) | 0.538481 | − | 0.259319i | 0.0424382 | − | 0.0204372i | ||||
\(162\) | −2.78545 | + | 7.09720i | −0.218845 | + | 0.557609i | ||||
\(163\) | 1.43404 | − | 19.1360i | 0.112323 | − | 1.49884i | −0.601700 | − | 0.798722i | \(-0.705510\pi\) |
0.714023 | − | 0.700122i | \(-0.246871\pi\) | |||||||
\(164\) | −2.31094 | + | 2.89782i | −0.180454 | + | 0.226282i | ||||
\(165\) | −0.0998359 | + | 0.172921i | −0.00777221 | + | 0.0134619i | ||||
\(166\) | 3.23899 | + | 5.61010i | 0.251395 | + | 0.435429i | ||||
\(167\) | 6.00399 | + | 0.904956i | 0.464603 | + | 0.0700276i | 0.377172 | − | 0.926143i | \(-0.376896\pi\) |
0.0874302 | + | 0.996171i | \(0.472135\pi\) | |||||||
\(168\) | −0.0118908 | − | 0.00572630i | −0.000917393 | − | 0.000441793i | ||||
\(169\) | 6.55071 | − | 6.07817i | 0.503901 | − | 0.467551i | ||||
\(170\) | −4.17709 | + | 18.3010i | −0.320368 | + | 1.40363i | ||||
\(171\) | 18.0337 | 1.37907 | ||||||||
\(172\) | −7.52284 | + | 3.75081i | −0.573611 | + | 0.285996i | ||||
\(173\) | −11.0260 | −0.838294 | −0.419147 | − | 0.907918i | \(-0.637671\pi\) | ||||
−0.419147 | + | 0.907918i | \(0.637671\pi\) | |||||||
\(174\) | −0.00798497 | + | 0.0349844i | −0.000605339 | + | 0.00265216i | ||||
\(175\) | −1.34309 | + | 1.24620i | −0.101528 | + | 0.0942042i | ||||
\(176\) | −0.614688 | − | 0.296018i | −0.0463338 | − | 0.0223132i | ||||
\(177\) | −0.233931 | − | 0.0352595i | −0.0175834 | − | 0.00265027i | ||||
\(178\) | 0.766737 | + | 1.32803i | 0.0574694 | + | 0.0995398i | ||||
\(179\) | −4.06679 | + | 7.04389i | −0.303966 | + | 0.526485i | −0.977031 | − | 0.213099i | \(-0.931644\pi\) |
0.673064 | + | 0.739584i | \(0.264978\pi\) | |||||||
\(180\) | 8.23927 | − | 10.3317i | 0.614119 | − | 0.770081i | ||||
\(181\) | 0.451827 | − | 6.02922i | 0.0335841 | − | 0.448148i | −0.954911 | − | 0.296893i | \(-0.904049\pi\) |
0.988495 | − | 0.151255i | \(-0.0483315\pi\) | |||||||
\(182\) | 0.167909 | − | 0.427826i | 0.0124463 | − | 0.0317126i | ||||
\(183\) | 0.158017 | − | 0.0760971i | 0.0116810 | − | 0.00562526i | ||||
\(184\) | −5.90362 | + | 1.82103i | −0.435221 | + | 0.134248i | ||||
\(185\) | −6.62306 | − | 16.8753i | −0.486937 | − | 1.24069i | ||||
\(186\) | −0.0566430 | − | 0.0525571i | −0.00415327 | − | 0.00385367i | ||||
\(187\) | −17.5438 | + | 11.9611i | −1.28293 | + | 0.874685i | ||||
\(188\) | −4.71796 | − | 5.91614i | −0.344093 | − | 0.431479i | ||||
\(189\) | 0.0281537 | − | 0.00424348i | 0.00204788 | − | 0.000308668i | ||||
\(190\) | 16.7297 | + | 5.16042i | 1.21370 | + | 0.374376i | ||||
\(191\) | −1.15304 | − | 15.3862i | −0.0834307 | − | 1.11331i | −0.869093 | − | 0.494649i | \(-0.835297\pi\) |
0.785662 | − | 0.618656i | \(-0.212323\pi\) | |||||||
\(192\) | 0.0648222 | + | 0.0441950i | 0.00467814 | + | 0.00318950i | ||||
\(193\) | 0.542270 | + | 2.37584i | 0.0390335 | + | 0.171017i | 0.990688 | − | 0.136155i | \(-0.0434745\pi\) |
−0.951654 | + | 0.307172i | \(0.900617\pi\) | |||||||
\(194\) | −0.494990 | − | 2.16869i | −0.0355382 | − | 0.155703i | ||||
\(195\) | −0.100962 | − | 0.0688349i | −0.00723006 | − | 0.00492937i | ||||
\(196\) | 0.663647 | + | 8.85575i | 0.0474034 | + | 0.632554i | ||||
\(197\) | −2.38077 | − | 0.734371i | −0.169623 | − | 0.0523218i | 0.208780 | − | 0.977963i | \(-0.433051\pi\) |
−0.378403 | + | 0.925641i | \(0.623527\pi\) | |||||||
\(198\) | −8.27972 | + | 1.24797i | −0.588414 | + | 0.0886892i | ||||
\(199\) | 5.15076 | + | 6.45884i | 0.365127 | + | 0.457855i | 0.930128 | − | 0.367235i | \(-0.119696\pi\) |
−0.565001 | + | 0.825090i | \(0.691124\pi\) | |||||||
\(200\) | 15.6484 | − | 10.6689i | 1.10651 | − | 0.754405i | ||||
\(201\) | 0.164390 | + | 0.152531i | 0.0115951 | + | 0.0107587i | ||||
\(202\) | −2.74336 | − | 6.98996i | −0.193022 | − | 0.491812i | ||||
\(203\) | −0.617214 | + | 0.190385i | −0.0433199 | + | 0.0133624i | ||||
\(204\) | −0.131316 | + | 0.0632387i | −0.00919399 | + | 0.00442759i | ||||
\(205\) | 3.63015 | − | 9.24947i | 0.253541 | − | 0.646011i | ||||
\(206\) | −0.0479451 | + | 0.639782i | −0.00334049 | + | 0.0445757i | ||||
\(207\) | 4.15474 | − | 5.20988i | 0.288775 | − | 0.362112i | ||||
\(208\) | 0.208762 | − | 0.361587i | 0.0144751 | − | 0.0250715i | ||||
\(209\) | 9.90166 | + | 17.1502i | 0.684912 | + | 1.18630i | ||||
\(210\) | 0.0136654 | + | 0.00205972i | 0.000942999 | + | 0.000142134i | ||||
\(211\) | 12.8995 | + | 6.21209i | 0.888041 | + | 0.427658i | 0.821555 | − | 0.570129i | \(-0.193107\pi\) |
0.0664862 | + | 0.997787i | \(0.478821\pi\) | |||||||
\(212\) | 6.03046 | − | 5.59545i | 0.414174 | − | 0.384297i | ||||
\(213\) | 0.0236913 | − | 0.103798i | 0.00162330 | − | 0.00711215i | ||||
\(214\) | 2.80889 | 0.192012 | ||||||||
\(215\) | 16.3076 | − | 15.5529i | 1.11217 | − | 1.06070i | ||||
\(216\) | −0.294312 | −0.0200254 | ||||||||
\(217\) | 0.309494 | − | 1.35598i | 0.0210098 | − | 0.0920501i | ||||
\(218\) | 6.27029 | − | 5.81798i | 0.424678 | − | 0.394043i | ||||
\(219\) | −0.0265230 | − | 0.0127728i | −0.00179226 | − | 0.000863107i | ||||
\(220\) | 14.3494 | + | 2.16282i | 0.967436 | + | 0.145818i | ||||
\(221\) | −6.49717 | − | 11.2534i | −0.437047 | − | 0.756987i | ||||
\(222\) | −0.0394236 | + | 0.0682837i | −0.00264594 | + | 0.00458290i | ||||
\(223\) | −4.25565 | + | 5.33642i | −0.284980 | + | 0.357353i | −0.903631 | − | 0.428313i | \(-0.859108\pi\) |
0.618651 | + | 0.785666i | \(0.287680\pi\) | |||||||
\(224\) | −0.115360 | + | 1.53937i | −0.00770781 | + | 0.102854i | ||||
\(225\) | −7.46317 | + | 19.0158i | −0.497544 | + | 1.26772i | ||||
\(226\) | −4.28009 | + | 2.06118i | −0.284707 | + | 0.137108i | ||||
\(227\) | −22.4926 | + | 6.93804i | −1.49288 | + | 0.460494i | −0.930472 | − | 0.366364i | \(-0.880603\pi\) |
−0.562412 | + | 0.826857i | \(0.690126\pi\) | |||||||
\(228\) | 0.0496625 | + | 0.126538i | 0.00328898 | + | 0.00838018i | ||||
\(229\) | −11.5699 | − | 10.7353i | −0.764562 | − | 0.709410i | 0.198080 | − | 0.980186i | \(-0.436529\pi\) |
−0.962642 | + | 0.270776i | \(0.912720\pi\) | |||||||
\(230\) | 5.34514 | − | 3.64425i | 0.352448 | − | 0.240295i | ||||
\(231\) | 0.00974636 | + | 0.0122215i | 0.000641263 | + | 0.000804119i | ||||
\(232\) | 6.60219 | − | 0.995121i | 0.433455 | − | 0.0653329i | ||||
\(233\) | −2.67367 | − | 0.824717i | −0.175158 | − | 0.0540290i | 0.205936 | − | 0.978566i | \(-0.433976\pi\) |
−0.381093 | + | 0.924537i | \(0.624452\pi\) | |||||||
\(234\) | −0.382936 | − | 5.10993i | −0.0250333 | − | 0.334046i | ||||
\(235\) | 16.7609 | + | 11.4274i | 1.09336 | + | 0.745442i | ||||
\(236\) | 3.82589 | + | 16.7623i | 0.249044 | + | 1.09113i | ||||
\(237\) | 0.0547273 | + | 0.239776i | 0.00355492 | + | 0.0155751i | ||||
\(238\) | 1.21424 | + | 0.827856i | 0.0787076 | + | 0.0536619i | ||||
\(239\) | 0.382464 | + | 5.10363i | 0.0247396 | + | 0.330127i | 0.995818 | + | 0.0913641i | \(0.0291227\pi\) |
−0.971078 | + | 0.238763i | \(0.923258\pi\) | |||||||
\(240\) | 0.0119969 | + | 0.00370055i | 0.000774395 | + | 0.000238869i | ||||
\(241\) | 5.77630 | − | 0.870636i | 0.372084 | − | 0.0560826i | 0.0396614 | − | 0.999213i | \(-0.487372\pi\) |
0.332423 | + | 0.943131i | \(0.392134\pi\) | |||||||
\(242\) | 0.0788935 | + | 0.0989293i | 0.00507147 | + | 0.00635942i | ||||
\(243\) | 0.393434 | − | 0.268239i | 0.0252388 | − | 0.0172075i | ||||
\(244\) | −9.34382 | − | 8.66980i | −0.598177 | − | 0.555027i | ||||
\(245\) | −8.69776 | − | 22.1615i | −0.555680 | − | 1.41585i | ||||
\(246\) | −0.0412968 | + | 0.0127384i | −0.00263299 | + | 0.000812170i | ||||
\(247\) | −10.9190 | + | 5.25833i | −0.694762 | + | 0.334580i | ||||
\(248\) | −5.25260 | + | 13.3834i | −0.333540 | + | 0.849847i | ||||
\(249\) | 0.0100765 | − | 0.134461i | 0.000638572 | − | 0.00852115i | ||||
\(250\) | −3.28645 | + | 4.12108i | −0.207854 | + | 0.260640i | ||||
\(251\) | 4.39608 | − | 7.61423i | 0.277478 | − | 0.480606i | −0.693279 | − | 0.720669i | \(-0.743835\pi\) |
0.970757 | + | 0.240063i | \(0.0771681\pi\) | |||||||
\(252\) | −0.517280 | − | 0.895955i | −0.0325856 | − | 0.0564399i | ||||
\(253\) | 7.23584 | + | 1.09063i | 0.454914 | + | 0.0685672i | ||||
\(254\) | −7.09303 | − | 3.41582i | −0.445056 | − | 0.214328i | ||||
\(255\) | 0.286425 | − | 0.265764i | 0.0179367 | − | 0.0166428i | ||||
\(256\) | 3.43263 | − | 15.0393i | 0.214539 | − | 0.939958i | ||||
\(257\) | −6.02274 | −0.375688 | −0.187844 | − | 0.982199i | \(-0.560150\pi\) | ||||
−0.187844 | + | 0.982199i | \(0.560150\pi\) | |||||||
\(258\) | −0.0971101 | − | 0.0132772i | −0.00604581 | − | 0.000826601i | ||||
\(259\) | −1.41924 | −0.0881874 | ||||||||
\(260\) | −1.97615 | + | 8.65807i | −0.122556 | + | 0.536951i | ||||
\(261\) | −5.27912 | + | 4.89830i | −0.326769 | + | 0.303197i | ||||
\(262\) | −4.14134 | − | 1.99436i | −0.255853 | − | 0.123212i | ||||
\(263\) | −23.8955 | − | 3.60167i | −1.47346 | − | 0.222089i | −0.637319 | − | 0.770600i | \(-0.719956\pi\) |
−0.836143 | + | 0.548512i | \(0.815195\pi\) | |||||||
\(264\) | −0.0807936 | − | 0.139939i | −0.00497251 | − | 0.00861263i | ||||
\(265\) | −11.0269 | + | 19.0991i | −0.677377 | + | 1.17325i | ||||
\(266\) | 0.854574 | − | 1.07160i | 0.0523973 | − | 0.0657041i | ||||
\(267\) | 0.00238531 | − | 0.0318298i | 0.000145979 | − | 0.00194795i | ||||
\(268\) | 5.95433 | − | 15.1714i | 0.363719 | − | 0.926740i | ||||
\(269\) | 3.94932 | − | 1.90189i | 0.240794 | − | 0.115960i | −0.309595 | − | 0.950868i | \(-0.600194\pi\) |
0.550389 | + | 0.834908i | \(0.314479\pi\) | |||||||
\(270\) | 0.294490 | − | 0.0908380i | 0.0179221 | − | 0.00552822i | ||||
\(271\) | 10.3289 | + | 26.3177i | 0.627437 | + | 1.59868i | 0.790770 | + | 0.612113i | \(0.209680\pi\) |
−0.163333 | + | 0.986571i | \(0.552225\pi\) | |||||||
\(272\) | 0.978678 | + | 0.908081i | 0.0593411 | + | 0.0550605i | ||||
\(273\) | −0.00790416 | + | 0.00538896i | −0.000478381 | + | 0.000326155i | ||||
\(274\) | −5.83576 | − | 7.31781i | −0.352551 | − | 0.442085i | ||||
\(275\) | −22.1819 | + | 3.34339i | −1.33762 | + | 0.201614i | ||||
\(276\) | 0.0479980 | + | 0.0148054i | 0.00288914 | + | 0.000891182i | ||||
\(277\) | 1.72237 | + | 22.9834i | 0.103487 | + | 1.38094i | 0.771235 | + | 0.636550i | \(0.219639\pi\) |
−0.667748 | + | 0.744387i | \(0.732742\pi\) | |||||||
\(278\) | 5.38284 | + | 3.66996i | 0.322841 | + | 0.220109i | ||||
\(279\) | −3.45070 | − | 15.1185i | −0.206588 | − | 0.905121i | ||||
\(280\) | −0.572182 | − | 2.50689i | −0.0341944 | − | 0.149815i | ||||
\(281\) | 14.7612 | + | 10.0640i | 0.880582 | + | 0.600371i | 0.916965 | − | 0.398967i | \(-0.130631\pi\) |
−0.0363832 | + | 0.999338i | \(0.511584\pi\) | |||||||
\(282\) | −0.00659348 | − | 0.0879839i | −0.000392636 | − | 0.00523936i | ||||
\(283\) | −13.4802 | − | 4.15809i | −0.801315 | − | 0.247173i | −0.133063 | − | 0.991108i | \(-0.542481\pi\) |
−0.668252 | + | 0.743935i | \(0.732957\pi\) | |||||||
\(284\) | −7.65130 | + | 1.15325i | −0.454021 | + | 0.0684327i | ||||
\(285\) | −0.227210 | − | 0.284912i | −0.0134587 | − | 0.0168767i | ||||
\(286\) | 4.64931 | − | 3.16985i | 0.274920 | − | 0.187437i | ||||
\(287\) | −0.570239 | − | 0.529105i | −0.0336602 | − | 0.0312321i | ||||
\(288\) | 6.28800 | + | 16.0216i | 0.370524 | + | 0.944080i | ||||
\(289\) | 23.4599 | − | 7.23642i | 1.37999 | − | 0.425672i | ||||
\(290\) | −6.29904 | + | 3.03346i | −0.369893 | + | 0.178131i | ||||
\(291\) | −0.0169160 | + | 0.0431012i | −0.000991633 | + | 0.00252664i | ||||
\(292\) | −0.159884 | + | 2.13350i | −0.00935648 | + | 0.124854i | ||||
\(293\) | 3.88985 | − | 4.87772i | 0.227247 | − | 0.284959i | −0.655115 | − | 0.755529i | \(-0.727380\pi\) |
0.882363 | + | 0.470569i | \(0.155951\pi\) | |||||||
\(294\) | −0.0517733 | + | 0.0896740i | −0.00301948 | + | 0.00522989i | ||||
\(295\) | −23.0462 | − | 39.9172i | −1.34180 | − | 2.32407i | ||||
\(296\) | 14.5068 | + | 2.18655i | 0.843193 | + | 0.127091i | ||||
\(297\) | 0.314072 | + | 0.151249i | 0.0182243 | + | 0.00877637i | ||||
\(298\) | −0.584036 | + | 0.541906i | −0.0338323 | + | 0.0313918i | ||||
\(299\) | −0.996495 | + | 4.36593i | −0.0576288 | + | 0.252488i | ||||
\(300\) | −0.153982 | −0.00889014 | ||||||||
\(301\) | −0.667016 | − | 1.63328i | −0.0384462 | − | 0.0941407i | ||||
\(302\) | 9.31987 | 0.536298 | ||||||||
\(303\) | −0.0347799 | + | 0.152381i | −0.00199805 | + | 0.00875404i | ||||
\(304\) | 0.912768 | − | 0.846925i | 0.0523509 | − | 0.0485745i | ||||
\(305\) | 30.7870 | + | 14.8262i | 1.76286 | + | 0.848947i | ||||
\(306\) | 16.2023 | + | 2.44210i | 0.926223 | + | 0.139606i | ||||
\(307\) | −2.49936 | − | 4.32902i | −0.142646 | − | 0.247070i | 0.785846 | − | 0.618422i | \(-0.212228\pi\) |
−0.928492 | + | 0.371352i | \(0.878894\pi\) | |||||||
\(308\) | 0.568039 | − | 0.983872i | 0.0323670 | − | 0.0560613i | ||||
\(309\) | 0.00832628 | − | 0.0104408i | 0.000473666 | − | 0.000593958i | ||||
\(310\) | 1.12504 | − | 15.0127i | 0.0638983 | − | 0.852663i | ||||
\(311\) | 1.80281 | − | 4.59348i | 0.102228 | − | 0.260473i | −0.870604 | − | 0.491984i | \(-0.836272\pi\) |
0.972832 | + | 0.231511i | \(0.0743671\pi\) | |||||||
\(312\) | 0.0890951 | − | 0.0429060i | 0.00504402 | − | 0.00242907i | ||||
\(313\) | 8.00980 | − | 2.47070i | 0.452741 | − | 0.139652i | −0.0599948 | − | 0.998199i | \(-0.519108\pi\) |
0.512735 | + | 0.858547i | \(0.328632\pi\) | |||||||
\(314\) | 5.95459 | + | 15.1720i | 0.336037 | + | 0.856208i | ||||
\(315\) | 2.03310 | + | 1.88644i | 0.114552 | + | 0.106289i | ||||
\(316\) | 14.7684 | − | 10.0689i | 0.830787 | − | 0.566421i | ||||
\(317\) | 11.2630 | + | 14.1233i | 0.632593 | + | 0.793246i | 0.990055 | − | 0.140681i | \(-0.0449293\pi\) |
−0.357462 | + | 0.933928i | \(0.616358\pi\) | |||||||
\(318\) | 0.0948488 | − | 0.0142962i | 0.00531886 | − | 0.000801689i | ||||
\(319\) | −7.55688 | − | 2.33099i | −0.423104 | − | 0.130510i | ||||
\(320\) | 1.14229 | + | 15.2428i | 0.0638559 | + | 0.852098i | ||||
\(321\) | −0.0483074 | − | 0.0329354i | −0.00269626 | − | 0.00183828i | ||||
\(322\) | −0.112699 | − | 0.493767i | −0.00628048 | − | 0.0275166i | ||||
\(323\) | −8.62321 | − | 37.7808i | −0.479808 | − | 2.10218i | ||||
\(324\) | −9.52951 | − | 6.49711i | −0.529417 | − | 0.360951i | ||||
\(325\) | −1.02591 | − | 13.6898i | −0.0569073 | − | 0.759375i | ||||
\(326\) | −15.5389 | − | 4.79310i | −0.860618 | − | 0.265466i | ||||
\(327\) | −0.176055 | + | 0.0265360i | −0.00973587 | + | 0.00146745i | ||||
\(328\) | 5.01356 | + | 6.28681i | 0.276828 | + | 0.347131i | ||||
\(329\) | 1.31218 | − | 0.894631i | 0.0723430 | − | 0.0493226i | ||||
\(330\) | 0.124034 | + | 0.115087i | 0.00682784 | + | 0.00633531i | ||||
\(331\) | 0.691785 | + | 1.76264i | 0.0380239 | + | 0.0968834i | 0.948624 | − | 0.316404i | \(-0.102476\pi\) |
−0.910600 | + | 0.413288i | \(0.864380\pi\) | |||||||
\(332\) | −9.36424 | + | 2.88849i | −0.513930 | + | 0.158526i | ||||
\(333\) | −14.2568 | + | 6.86569i | −0.781265 | + | 0.376238i | ||||
\(334\) | 1.87977 | − | 4.78958i | 0.102857 | − | 0.262074i | ||||
\(335\) | −3.26511 | + | 43.5698i | −0.178392 | + | 2.38047i | ||||
\(336\) | 0.000612816 | 0 | 0.000768447i | 3.34319e−5 | 0 | 4.19222e-5i | ||||
\(337\) | −0.158818 | + | 0.275080i | −0.00865135 | + | 0.0149846i | −0.870319 | − | 0.492489i | \(-0.836087\pi\) |
0.861667 | + | 0.507474i | \(0.169421\pi\) | |||||||
\(338\) | −3.78628 | − | 6.55803i | −0.205946 | − | 0.356710i | ||||
\(339\) | 0.0977774 | + | 0.0147376i | 0.00531054 | + | 0.000800435i | ||||
\(340\) | −25.5848 | − | 12.3210i | −1.38753 | − | 0.668199i | ||||
\(341\) | 12.4831 | − | 11.5826i | 0.675999 | − | 0.627235i | ||||
\(342\) | 3.40052 | − | 14.8987i | 0.183879 | − | 0.805627i | ||||
\(343\) | −3.74713 | −0.202326 | ||||||||
\(344\) | 4.30162 | + | 17.7223i | 0.231928 | + | 0.955521i | ||||
\(345\) | −0.134656 | −0.00724966 | ||||||||
\(346\) | −2.07912 | + | 9.10921i | −0.111774 | + | 0.489714i | ||||
\(347\) | 20.3150 | − | 18.8496i | 1.09057 | − | 1.01190i | 0.0906939 | − | 0.995879i | \(-0.471092\pi\) |
0.999872 | − | 0.0160182i | \(-0.00509897\pi\) | |||||||
\(348\) | −0.0489081 | − | 0.0235529i | −0.00262175 | − | 0.00126257i | ||||
\(349\) | 26.8636 | + | 4.04904i | 1.43798 | + | 0.216740i | 0.821309 | − | 0.570484i | \(-0.193244\pi\) |
0.616668 | + | 0.787224i | \(0.288482\pi\) | |||||||
\(350\) | 0.776300 | + | 1.34459i | 0.0414950 | + | 0.0718714i | ||||
\(351\) | −0.106666 | + | 0.184751i | −0.00569342 | + | 0.00986130i | ||||
\(352\) | −11.7841 | + | 14.7768i | −0.628094 | + | 0.787605i | ||||
\(353\) | 1.46955 | − | 19.6097i | 0.0782160 | − | 1.04372i | −0.810643 | − | 0.585540i | \(-0.800882\pi\) |
0.888859 | − | 0.458180i | \(-0.151499\pi\) | |||||||
\(354\) | −0.0732410 | + | 0.186615i | −0.00389271 | + | 0.00991847i | ||||
\(355\) | 18.6892 | − | 9.00024i | 0.991919 | − | 0.477683i | ||||
\(356\) | −2.21671 | + | 0.683764i | −0.117485 | + | 0.0362394i | ||||
\(357\) | −0.0111756 | − | 0.0284750i | −0.000591476 | − | 0.00150706i | ||||
\(358\) | 5.05249 | + | 4.68803i | 0.267033 | + | 0.247770i | ||||
\(359\) | −6.52863 | + | 4.45114i | −0.344568 | + | 0.234922i | −0.723222 | − | 0.690616i | \(-0.757340\pi\) |
0.378654 | + | 0.925538i | \(0.376387\pi\) | |||||||
\(360\) | −17.8750 | − | 22.4146i | −0.942097 | − | 1.18135i | ||||
\(361\) | −16.9511 | + | 2.55496i | −0.892162 | + | 0.134472i | ||||
\(362\) | −4.89587 | − | 1.51018i | −0.257321 | − | 0.0793731i | ||||
\(363\) | −0.000196825 | − | 0.00262645i | −1.03307e−5 | − | 0.000137853i | ||||
\(364\) | 0.574448 | + | 0.391652i | 0.0301092 | + | 0.0205281i | ||||
\(365\) | −1.27628 | − | 5.59176i | −0.0668037 | − | 0.292686i | ||||
\(366\) | −0.0330716 | − | 0.144896i | −0.00172868 | − | 0.00757384i | ||||
\(367\) | 16.6615 | + | 11.3596i | 0.869723 | + | 0.592967i | 0.913847 | − | 0.406059i | \(-0.133097\pi\) |
−0.0441239 | + | 0.999026i | \(0.514050\pi\) | |||||||
\(368\) | −0.0343836 | − | 0.458817i | −0.00179237 | − | 0.0239175i | ||||
\(369\) | −8.28783 | − | 2.55646i | −0.431447 | − | 0.133084i | ||||
\(370\) | −15.1905 | + | 2.28959i | −0.789715 | + | 0.119030i | ||||
\(371\) | 1.07649 | + | 1.34987i | 0.0558884 | + | 0.0700819i | ||||
\(372\) | 0.0965797 | − | 0.0658470i | 0.00500743 | − | 0.00341401i | ||||
\(373\) | 5.79496 | + | 5.37693i | 0.300051 | + | 0.278407i | 0.815801 | − | 0.578332i | \(-0.196296\pi\) |
−0.515750 | + | 0.856739i | \(0.672487\pi\) | |||||||
\(374\) | 6.57362 | + | 16.7493i | 0.339914 | + | 0.866087i | ||||
\(375\) | 0.104842 | − | 0.0323395i | 0.00541402 | − | 0.00167000i | ||||
\(376\) | −14.7908 | + | 7.12290i | −0.762780 | + | 0.367335i | ||||
\(377\) | 1.76813 | − | 4.50512i | 0.0910633 | − | 0.232026i | ||||
\(378\) | 0.00180301 | − | 0.0240595i | 9.27368e−5 | − | 0.00123749i | ||||
\(379\) | −15.2679 | + | 19.1453i | −0.784258 | + | 0.983428i | 0.215718 | + | 0.976456i | \(0.430791\pi\) |
−0.999976 | + | 0.00697248i | \(0.997781\pi\) | |||||||
\(380\) | −13.2423 | + | 22.9363i | −0.679314 | + | 1.17661i | ||||
\(381\) | 0.0819343 | + | 0.141914i | 0.00419762 | + | 0.00727049i | ||||
\(382\) | −12.9288 | − | 1.94870i | −0.661495 | − | 0.0997043i | ||||
\(383\) | 24.8833 | + | 11.9832i | 1.27148 | + | 0.612311i | 0.943186 | − | 0.332266i | \(-0.107813\pi\) |
0.328291 | + | 0.944577i | \(0.393527\pi\) | |||||||
\(384\) | −0.0996415 | + | 0.0924538i | −0.00508481 | + | 0.00471802i | ||||
\(385\) | −0.677714 | + | 2.96926i | −0.0345395 | + | 0.151327i | ||||
\(386\) | 2.06507 | 0.105109 | ||||||||
\(387\) | −14.6015 | − | 13.1801i | −0.742237 | − | 0.669983i | ||||
\(388\) | 3.36507 | 0.170836 | ||||||||
\(389\) | −6.15713 | + | 26.9761i | −0.312179 | + | 1.36774i | 0.538751 | + | 0.842465i | \(0.318896\pi\) |
−0.850930 | + | 0.525279i | \(0.823961\pi\) | |||||||
\(390\) | −0.0759062 | + | 0.0704307i | −0.00384366 | + | 0.00356640i | ||||
\(391\) | −12.9014 | − | 6.21299i | −0.652452 | − | 0.314205i | ||||
\(392\) | 19.0512 | + | 2.87150i | 0.962230 | + | 0.145033i | ||||
\(393\) | 0.0478381 | + | 0.0828581i | 0.00241311 | + | 0.00417964i | ||||
\(394\) | −1.05563 | + | 1.82841i | −0.0531821 | + | 0.0921141i | ||||
\(395\) | −29.8762 | + | 37.4635i | −1.50323 | + | 1.88499i | ||||
\(396\) | 0.946582 | − | 12.6313i | 0.0475675 | − | 0.634744i | ||||
\(397\) | 3.68917 | − | 9.39985i | 0.185154 | − | 0.471765i | −0.807915 | − | 0.589300i | \(-0.799404\pi\) |
0.993069 | + | 0.117534i | \(0.0374990\pi\) | |||||||
\(398\) | 6.30726 | − | 3.03742i | 0.316154 | − | 0.152252i | ||||
\(399\) | −0.0272620 | + | 0.00840921i | −0.00136481 | + | 0.000420987i | ||||
\(400\) | 0.515304 | + | 1.31297i | 0.0257652 | + | 0.0656486i | ||||
\(401\) | −24.5225 | − | 22.7536i | −1.22460 | − | 1.13626i | −0.986282 | − | 0.165070i | \(-0.947215\pi\) |
−0.238314 | − | 0.971188i | \(-0.576595\pi\) | |||||||
\(402\) | 0.157012 | − | 0.107049i | 0.00783107 | − | 0.00533913i | ||||
\(403\) | 6.49762 | + | 8.14776i | 0.323670 | + | 0.405869i | ||||
\(404\) | 11.2324 | − | 1.69302i | 0.558835 | − | 0.0842309i | ||||
\(405\) | 29.5459 | + | 9.11369i | 1.46815 | + | 0.452863i | ||||
\(406\) | 0.0409031 | + | 0.545814i | 0.00202999 | + | 0.0270883i | ||||
\(407\) | −14.3572 | − | 9.78855i | −0.711658 | − | 0.485200i | ||||
\(408\) | 0.0703620 | + | 0.308276i | 0.00348344 | + | 0.0152619i | ||||
\(409\) | −5.20581 | − | 22.8081i | −0.257411 | − | 1.12779i | −0.924008 | − | 0.382372i | \(-0.875107\pi\) |
0.666598 | − | 0.745418i | \(-0.267750\pi\) | |||||||
\(410\) | −6.95698 | − | 4.74319i | −0.343581 | − | 0.234250i | ||||
\(411\) | 0.0145592 | + | 0.194279i | 0.000718152 | + | 0.00958307i | ||||
\(412\) | −0.927429 | − | 0.286074i | −0.0456912 | − | 0.0140939i | ||||
\(413\) | −3.56818 | + | 0.537817i | −0.175579 | + | 0.0264643i | ||||
\(414\) | −3.52074 | − | 4.41486i | −0.173035 | − | 0.216979i | ||||
\(415\) | 21.7061 | − | 14.7990i | 1.06551 | − | 0.726453i | ||||
\(416\) | −8.47887 | − | 7.86725i | −0.415711 | − | 0.385723i | ||||
\(417\) | −0.0495425 | − | 0.126232i | −0.00242611 | − | 0.00618162i | ||||
\(418\) | 16.0358 | − | 4.94639i | 0.784337 | − | 0.241936i | ||||
\(419\) | 16.3740 | − | 7.88529i | 0.799921 | − | 0.385221i | 0.0111722 | − | 0.999938i | \(-0.496444\pi\) |
0.788748 | + | 0.614716i | \(0.210729\pi\) | |||||||
\(420\) | −0.00763776 | + | 0.0194607i | −0.000372685 | + | 0.000949585i | ||||
\(421\) | −2.18943 | + | 29.2159i | −0.106706 | + | 1.42390i | 0.644892 | + | 0.764274i | \(0.276902\pi\) |
−0.751598 | + | 0.659621i | \(0.770717\pi\) | |||||||
\(422\) | 7.56455 | − | 9.48565i | 0.368237 | − | 0.461754i | ||||
\(423\) | 8.85347 | − | 15.3347i | 0.430470 | − | 0.745597i | ||||
\(424\) | −8.92368 | − | 15.4563i | −0.433372 | − | 0.750622i | ||||
\(425\) | 43.4069 | + | 6.54254i | 2.10555 | + | 0.317360i | ||||
\(426\) | −0.0812863 | − | 0.0391454i | −0.00393833 | − | 0.00189660i | ||||
\(427\) | 1.96105 | − | 1.81959i | 0.0949018 | − | 0.0880560i | ||||
\(428\) | −0.945527 | + | 4.14263i | −0.0457038 | + | 0.200241i | ||||
\(429\) | −0.117127 | −0.00565494 | ||||||||
\(430\) | −9.77412 | − | 16.4053i | −0.471350 | − | 0.791135i | ||||
\(431\) | 2.95198 | 0.142192 | 0.0710959 | − | 0.997469i | \(-0.477350\pi\) | ||||
0.0710959 | + | 0.997469i | \(0.477350\pi\) | |||||||
\(432\) | 0.00487729 | − | 0.0213688i | 0.000234659 | − | 0.00102811i | ||||
\(433\) | −24.6385 | + | 22.8611i | −1.18405 | + | 1.09864i | −0.190920 | + | 0.981606i | \(0.561147\pi\) |
−0.993128 | + | 0.117031i | \(0.962662\pi\) | |||||||
\(434\) | −1.06189 | − | 0.511380i | −0.0509725 | − | 0.0245470i | ||||
\(435\) | 0.143900 | + | 0.0216894i | 0.00689947 | + | 0.00103993i | ||||
\(436\) | 6.46981 | + | 11.2060i | 0.309848 | + | 0.536672i | ||||
\(437\) | −6.67757 | + | 11.5659i | −0.319431 | + | 0.553271i | ||||
\(438\) | −0.0155536 | + | 0.0195036i | −0.000743182 | + | 0.000931920i | ||||
\(439\) | 1.61347 | − | 21.5302i | 0.0770066 | − | 1.02758i | −0.816151 | − | 0.577838i | \(-0.803896\pi\) |
0.893158 | − | 0.449743i | \(-0.148484\pi\) | |||||||
\(440\) | 11.5019 | − | 29.3063i | 0.548330 | − | 1.39712i | ||||
\(441\) | −18.7228 | + | 9.01640i | −0.891560 | + | 0.429353i | ||||
\(442\) | −10.5222 | + | 3.24567i | −0.500491 | + | 0.154381i | ||||
\(443\) | 1.29471 | + | 3.29887i | 0.0615135 | + | 0.156734i | 0.958326 | − | 0.285677i | \(-0.0922185\pi\) |
−0.896812 | + | 0.442411i | \(0.854123\pi\) | |||||||
\(444\) | −0.0874359 | − | 0.0811287i | −0.00414953 | − | 0.00385020i | ||||
\(445\) | 5.13828 | − | 3.50322i | 0.243578 | − | 0.166069i | ||||
\(446\) | 3.60625 | + | 4.52209i | 0.170761 | + | 0.214127i | ||||
\(447\) | 0.0163984 | − | 0.00247166i | 0.000775616 | − | 0.000116905i | ||||
\(448\) | 1.14351 | + | 0.352727i | 0.0540259 | + | 0.0166648i | ||||
\(449\) | −1.72113 | − | 22.9668i | −0.0812249 | − | 1.08387i | −0.877703 | − | 0.479204i | \(-0.840925\pi\) |
0.796478 | − | 0.604667i | \(-0.206694\pi\) | |||||||
\(450\) | 14.3027 | + | 9.75145i | 0.674238 | + | 0.459688i | ||||
\(451\) | −2.11934 | − | 9.28543i | −0.0997957 | − | 0.437234i | ||||
\(452\) | −1.59912 | − | 7.00622i | −0.0752165 | − | 0.329545i | ||||
\(453\) | −0.160284 | − | 0.109280i | −0.00753078 | − | 0.00513440i | ||||
\(454\) | 1.49060 | + | 19.8906i | 0.0699571 | + | 0.933513i | ||||
\(455\) | −1.78105 | − | 0.549381i | −0.0834969 | − | 0.0257554i | ||||
\(456\) | 0.291615 | − | 0.0439539i | 0.0136561 | − | 0.00205833i | ||||
\(457\) | −5.04145 | − | 6.32177i | −0.235829 | − | 0.295720i | 0.649808 | − | 0.760098i | \(-0.274849\pi\) |
−0.885637 | + | 0.464378i | \(0.846278\pi\) | |||||||
\(458\) | −11.0507 | + | 7.53425i | −0.516366 | + | 0.352053i | ||||
\(459\) | −0.500052 | − | 0.463980i | −0.0233404 | − | 0.0216567i | ||||
\(460\) | 3.57537 | + | 9.10988i | 0.166702 | + | 0.424750i | ||||
\(461\) | 9.39710 | − | 2.89862i | 0.437667 | − | 0.135002i | −0.0680886 | − | 0.997679i | \(-0.521690\pi\) |
0.505755 | + | 0.862677i | \(0.331214\pi\) | |||||||
\(462\) | 0.0119347 | − | 0.00574745i | 0.000555253 | − | 0.000267396i | ||||
\(463\) | −11.0144 | + | 28.0644i | −0.511885 | + | 1.30426i | 0.408325 | + | 0.912837i | \(0.366113\pi\) |
−0.920210 | + | 0.391425i | \(0.871982\pi\) | |||||||
\(464\) | −0.0371589 | + | 0.495850i | −0.00172506 | + | 0.0230193i | ||||
\(465\) | −0.195379 | + | 0.244997i | −0.00906047 | + | 0.0113615i | ||||
\(466\) | −1.18550 | + | 2.05335i | −0.0549174 | + | 0.0951197i | ||||
\(467\) | 12.1322 | + | 21.0135i | 0.561409 | + | 0.972389i | 0.997374 | + | 0.0724256i | \(0.0230740\pi\) |
−0.435965 | + | 0.899964i | \(0.643593\pi\) | |||||||
\(468\) | 7.66516 | + | 1.15534i | 0.354322 | + | 0.0534055i | ||||
\(469\) | 3.08183 | + | 1.48413i | 0.142305 | + | 0.0685307i | ||||
\(470\) | 12.6013 | − | 11.6923i | 0.581256 | − | 0.539327i | ||||
\(471\) | 0.0754915 | − | 0.330750i | 0.00347846 | − | 0.0152401i | ||||
\(472\) | 37.3009 | 1.71691 | ||||||||
\(473\) | 4.51720 | − | 21.1228i | 0.207701 | − | 0.971229i | ||||
\(474\) | 0.208412 | 0.00957266 | ||||||||
\(475\) | 9.11022 | − | 39.9145i | 0.418005 | − | 1.83140i | ||||
\(476\) | −1.62968 | + | 1.51212i | −0.0746964 | + | 0.0693081i | ||||
\(477\) | 17.3438 | + | 8.35233i | 0.794117 | + | 0.382427i | ||||
\(478\) | 4.28851 | + | 0.646389i | 0.196152 | + | 0.0295652i | ||||
\(479\) | 0.0305712 | + | 0.0529509i | 0.00139683 | + | 0.00241939i | 0.866723 | − | 0.498790i | \(-0.166222\pi\) |
−0.865326 | + | 0.501209i | \(0.832889\pi\) | |||||||
\(480\) | 0.173899 | − | 0.301201i | 0.00793735 | − | 0.0137479i | ||||
\(481\) | 6.63024 | − | 8.31406i | 0.302313 | − | 0.379089i | ||||
\(482\) | 0.369924 | − | 4.93629i | 0.0168496 | − | 0.224842i | ||||
\(483\) | −0.00385143 | + | 0.00981328i | −0.000175246 | + | 0.000446520i | ||||
\(484\) | −0.172461 | + | 0.0830527i | −0.00783913 | + | 0.00377512i | ||||
\(485\) | −8.62036 | + | 2.65903i | −0.391430 | + | 0.120740i | ||||
\(486\) | −0.147419 | − | 0.375618i | −0.00668707 | − | 0.0170384i | ||||
\(487\) | −17.0165 | − | 15.7890i | −0.771093 | − | 0.715470i | 0.192952 | − | 0.981208i | \(-0.438194\pi\) |
−0.964045 | + | 0.265738i | \(0.914384\pi\) | |||||||
\(488\) | −22.8483 | + | 15.5777i | −1.03429 | + | 0.705169i | ||||
\(489\) | 0.211037 | + | 0.264632i | 0.00954342 | + | 0.0119671i | ||||
\(490\) | −19.9490 | + | 3.00682i | −0.901202 | + | 0.135834i | ||||
\(491\) | −9.90993 | − | 3.05681i | −0.447229 | − | 0.137952i | 0.0629566 | − | 0.998016i | \(-0.479947\pi\) |
−0.510185 | + | 0.860064i | \(0.670423\pi\) | |||||||
\(492\) | −0.00488559 | − | 0.0651937i | −0.000220259 | − | 0.00293916i | ||||
\(493\) | 12.7863 | + | 8.71755i | 0.575866 | + | 0.392619i | ||||
\(494\) | 2.28526 | + | 10.0124i | 0.102819 | + | 0.450477i | ||||
\(495\) | 7.55616 | + | 33.1057i | 0.339624 | + | 1.48799i | ||||
\(496\) | −0.884671 | − | 0.603159i | −0.0397229 | − | 0.0270826i | ||||
\(497\) | −0.121359 | − | 1.61943i | −0.00544370 | − | 0.0726412i | ||||
\(498\) | −0.109186 | − | 0.0336794i | −0.00489274 | − | 0.00150921i | ||||
\(499\) | −11.9560 | + | 1.80208i | −0.535224 | + | 0.0806720i | −0.411092 | − | 0.911594i | \(-0.634853\pi\) |
−0.124132 | + | 0.992266i | \(0.539615\pi\) | |||||||
\(500\) | −4.97160 | − | 6.23419i | −0.222337 | − | 0.278802i | ||||
\(501\) | −0.0884884 | + | 0.0603304i | −0.00395337 | + | 0.00269536i | ||||
\(502\) | −5.46159 | − | 5.06762i | −0.243763 | − | 0.226179i | ||||
\(503\) | −6.09669 | − | 15.5341i | −0.271838 | − | 0.692632i | −0.999974 | − | 0.00719925i | \(-0.997708\pi\) |
0.728136 | − | 0.685433i | \(-0.240387\pi\) | |||||||
\(504\) | −2.14475 | + | 0.661569i | −0.0955350 | + | 0.0294686i | ||||
\(505\) | −27.4366 | + | 13.2128i | −1.22091 | + | 0.587960i | ||||
\(506\) | 2.26545 | − | 5.77228i | 0.100712 | − | 0.256609i | ||||
\(507\) | −0.0117791 | + | 0.157181i | −0.000523128 | + | 0.00698066i | ||||
\(508\) | 7.42540 | − | 9.31116i | 0.329449 | − | 0.413116i | ||||
\(509\) | −16.1598 | + | 27.9896i | −0.716271 | + | 1.24062i | 0.246197 | + | 0.969220i | \(0.420819\pi\) |
−0.962467 | + | 0.271397i | \(0.912514\pi\) | |||||||
\(510\) | −0.165553 | − | 0.286746i | −0.00733079 | − | 0.0126973i | ||||
\(511\) | −0.444012 | − | 0.0669240i | −0.0196419 | − | 0.00296054i | ||||
\(512\) | 2.10863 | + | 1.01546i | 0.0931892 | + | 0.0448776i | ||||
\(513\) | −0.466375 | + | 0.432733i | −0.0205910 | + | 0.0191056i | ||||
\(514\) | −1.13568 | + | 4.97572i | −0.0500925 | + | 0.219470i | ||||
\(515\) | 2.60186 | 0.114652 | ||||||||
\(516\) | 0.0522707 | − | 0.138751i | 0.00230109 | − | 0.00610819i | ||||
\(517\) | 19.4445 | 0.855166 | ||||||||
\(518\) | −0.267619 | + | 1.17251i | −0.0117585 | + | 0.0515173i | ||||
\(519\) | 0.142566 | − | 0.132282i | 0.00625796 | − | 0.00580654i | ||||
\(520\) | 17.3587 | + | 8.35950i | 0.761228 | + | 0.366588i | ||||
\(521\) | −36.0446 | − | 5.43284i | −1.57914 | − | 0.238017i | −0.699845 | − | 0.714294i | \(-0.746748\pi\) |
−0.879295 | + | 0.476277i | \(0.841986\pi\) | |||||||
\(522\) | 3.05131 | + | 5.28502i | 0.133552 | + | 0.231319i | ||||
\(523\) | −13.2662 | + | 22.9777i | −0.580088 | + | 1.00474i | 0.415380 | + | 0.909648i | \(0.363649\pi\) |
−0.995468 | + | 0.0950946i | \(0.969685\pi\) | |||||||
\(524\) | 4.33539 | − | 5.43641i | 0.189393 | − | 0.237491i | ||||
\(525\) | 0.00241506 | − | 0.0322268i | 0.000105402 | − | 0.00140649i | ||||
\(526\) | −7.48139 | + | 19.0623i | −0.326204 | + | 0.831154i | ||||
\(527\) | −30.0233 | + | 14.4585i | −1.30784 | + | 0.629820i | ||||
\(528\) | 0.0114993 | − | 0.00354706i | 0.000500443 | − | 0.000154366i | ||||
\(529\) | −6.59993 | − | 16.8163i | −0.286953 | − | 0.731145i | ||||
\(530\) | 13.6996 | + | 12.7113i | 0.595071 | + | 0.552146i | ||||
\(531\) | −33.2419 | + | 22.6639i | −1.44257 | + | 0.983531i | ||||
\(532\) | 1.29276 | + | 1.62107i | 0.0560483 | + | 0.0702823i | ||||
\(533\) | 5.76353 | − | 0.868712i | 0.249646 | − | 0.0376281i | ||||
\(534\) | −0.0258466 | − | 0.00797261i | −0.00111849 | − | 0.000345009i | ||||
\(535\) | −0.851268 | − | 11.3594i | −0.0368035 | − | 0.491109i | ||||
\(536\) | −29.2145 | − | 19.9181i | −1.26187 | − | 0.860331i | ||||
\(537\) | −0.0319239 | − | 0.139868i | −0.00137762 | − | 0.00603573i | ||||
\(538\) | −0.826556 | − | 3.62138i | −0.0356354 | − | 0.156129i | ||||
\(539\) | −18.8546 | − | 12.8549i | −0.812126 | − | 0.553698i | ||||
\(540\) | 0.0348394 | + | 0.464899i | 0.00149925 | + | 0.0200061i | ||||
\(541\) | −15.5995 | − | 4.81180i | −0.670674 | − | 0.206875i | −0.0593272 | − | 0.998239i | \(-0.518896\pi\) |
−0.611346 | + | 0.791363i | \(0.709372\pi\) | |||||||
\(542\) | 23.6901 | − | 3.57071i | 1.01758 | − | 0.153375i | ||||
\(543\) | 0.0664920 | + | 0.0833783i | 0.00285344 | + | 0.00357810i | ||||
\(544\) | 30.5585 | − | 20.8344i | 1.31019 | − | 0.893270i | ||||
\(545\) | −25.4287 | − | 23.5944i | −1.08925 | − | 1.01067i | ||||
\(546\) | 0.00296168 | + | 0.00754623i | 0.000126748 | + | 0.000322949i | ||||
\(547\) | 25.6168 | − | 7.90174i | 1.09530 | − | 0.337854i | 0.306103 | − | 0.951999i | \(-0.400975\pi\) |
0.789194 | + | 0.614144i | \(0.210499\pi\) | |||||||
\(548\) | 12.7569 | − | 6.14342i | 0.544949 | − | 0.262434i | ||||
\(549\) | 10.8970 | − | 27.7651i | 0.465072 | − | 1.18498i | ||||
\(550\) | −1.42057 | + | 18.9561i | −0.0605732 | + | 0.808293i | ||||
\(551\) | 8.99889 | − | 11.2843i | 0.383366 | − | 0.480725i | ||||
\(552\) | 0.0544863 | − | 0.0943731i | 0.00231909 | − | 0.00401679i | ||||
\(553\) | 1.87569 | + | 3.24879i | 0.0797626 | + | 0.138153i | ||||
\(554\) | 19.3126 | + | 2.91091i | 0.820515 | + | 0.123673i | ||||
\(555\) | 0.288093 | + | 0.138738i | 0.0122289 | + | 0.00588911i | ||||
\(556\) | −7.22452 | + | 6.70338i | −0.306388 | + | 0.284286i | ||||
\(557\) | −0.445481 | + | 1.95178i | −0.0188756 | + | 0.0826996i | −0.983488 | − | 0.180971i | \(-0.942076\pi\) |
0.964613 | + | 0.263670i | \(0.0849332\pi\) | |||||||
\(558\) | −13.1409 | −0.556299 | ||||||||
\(559\) | 12.6840 | + | 3.72272i | 0.536477 | + | 0.157454i | ||||
\(560\) | 0.191498 | 0.00809225 | ||||||||
\(561\) | 0.0833395 | − | 0.365134i | 0.00351860 | − | 0.0154160i | ||||
\(562\) | 11.0979 | − | 10.2974i | 0.468137 | − | 0.434368i | ||||
\(563\) | 27.9871 | + | 13.4779i | 1.17952 | + | 0.568025i | 0.917770 | − | 0.397112i | \(-0.129988\pi\) |
0.261745 | + | 0.965137i | \(0.415702\pi\) | |||||||
\(564\) | 0.131981 | + | 0.0198929i | 0.00555738 | + | 0.000837641i | ||||
\(565\) | 9.63272 | + | 16.6844i | 0.405252 | + | 0.701916i | ||||
\(566\) | −5.97712 | + | 10.3527i | −0.251237 | + | 0.435155i | ||||
\(567\) | 1.50924 | − | 1.89253i | 0.0633821 | − | 0.0794787i | ||||
\(568\) | −1.25449 | + | 16.7400i | −0.0526372 | + | 0.702395i | ||||
\(569\) | 0.695255 | − | 1.77148i | 0.0291466 | − | 0.0742643i | −0.915560 | − | 0.402182i | \(-0.868252\pi\) |
0.944706 | + | 0.327918i | \(0.106347\pi\) | |||||||
\(570\) | −0.278225 | + | 0.133986i | −0.0116536 | + | 0.00561207i | ||||
\(571\) | −1.82295 | + | 0.562306i | −0.0762882 | + | 0.0235318i | −0.332664 | − | 0.943045i | \(-0.607948\pi\) |
0.256376 | + | 0.966577i | \(0.417471\pi\) | |||||||
\(572\) | 3.10993 | + | 7.92396i | 0.130033 | + | 0.331318i | ||||
\(573\) | 0.199501 | + | 0.185110i | 0.00833426 | + | 0.00773307i | ||||
\(574\) | −0.544650 | + | 0.371336i | −0.0227332 | + | 0.0154993i | ||||
\(575\) | −9.43228 | − | 11.8277i | −0.393353 | − | 0.493249i | ||||
\(576\) | 13.1933 | − | 1.98857i | 0.549721 | − | 0.0828571i | ||||
\(577\) | 11.4249 | + | 3.52412i | 0.475626 | + | 0.146711i | 0.523294 | − | 0.852152i | \(-0.324703\pi\) |
−0.0476684 | + | 0.998863i | \(0.515179\pi\) | |||||||
\(578\) | −1.55470 | − | 20.7460i | −0.0646671 | − | 0.862922i | ||||
\(579\) | −0.0355151 | − | 0.0242138i | −0.00147596 | − | 0.00100629i | ||||
\(580\) | −2.35345 | − | 10.3111i | −0.0977216 | − | 0.428146i | ||||
\(581\) | −0.457661 | − | 2.00514i | −0.0189870 | − | 0.0831873i | ||||
\(582\) | 0.0324186 | + | 0.0221026i | 0.00134379 | + | 0.000916182i | ||||
\(583\) | 1.57973 | + | 21.0800i | 0.0654256 | + | 0.873044i | ||||
\(584\) | 4.43538 | + | 1.36813i | 0.183537 | + | 0.0566137i | ||||
\(585\) | −20.5489 | + | 3.09725i | −0.849593 | + | 0.128056i | ||||
\(586\) | −3.29626 | − | 4.13339i | −0.136167 | − | 0.170749i | ||||
\(587\) | 10.5277 | − | 7.17769i | 0.434526 | − | 0.296255i | −0.326233 | − | 0.945289i | \(-0.605779\pi\) |
0.760759 | + | 0.649034i | \(0.224827\pi\) | |||||||
\(588\) | −0.114826 | − | 0.106543i | −0.00473533 | − | 0.00439375i | ||||
\(589\) | 11.3545 | + | 28.9308i | 0.467854 | + | 1.19207i | ||||
\(590\) | −37.3235 | + | 11.5128i | −1.53658 | + | 0.473973i | ||||
\(591\) | 0.0395938 | − | 0.0190674i | 0.00162867 | − | 0.000784326i | ||||
\(592\) | −0.399162 | + | 1.01705i | −0.0164055 | + | 0.0418005i | ||||
\(593\) | 1.69336 | − | 22.5963i | 0.0695380 | − | 0.927920i | −0.847930 | − | 0.530109i | \(-0.822151\pi\) |
0.917468 | − | 0.397811i | \(-0.130230\pi\) | |||||||
\(594\) | 0.184178 | − | 0.230952i | 0.00755693 | − | 0.00947609i | ||||
\(595\) | 2.97993 | − | 5.16139i | 0.122165 | − | 0.211596i | ||||
\(596\) | −0.602620 | − | 1.04377i | −0.0246843 | − | 0.0427544i | ||||
\(597\) | −0.144088 | − | 0.0217177i | −0.00589711 | − | 0.000888846i | ||||
\(598\) | 3.41903 | + | 1.64652i | 0.139815 | + | 0.0673312i | ||||
\(599\) | 19.4871 | − | 18.0814i | 0.796221 | − | 0.738785i | −0.173015 | − | 0.984919i | \(-0.555351\pi\) |
0.969236 | + | 0.246134i | \(0.0791605\pi\) | |||||||
\(600\) | −0.0743358 | + | 0.325687i | −0.00303475 | + | 0.0132961i | ||||
\(601\) | 5.51022 | 0.224766 | 0.112383 | − | 0.993665i | \(-0.464152\pi\) | ||||
0.112383 | + | 0.993665i | \(0.464152\pi\) | |||||||
\(602\) | −1.47512 | + | 0.243080i | −0.0601214 | + | 0.00990720i | ||||
\(603\) | 38.1376 | 1.55308 | ||||||||
\(604\) | −3.13725 | + | 13.7452i | −0.127653 | + | 0.559284i | ||||
\(605\) | 0.376169 | − | 0.349034i | 0.0152934 | − | 0.0141902i | ||||
\(606\) | 0.119332 | + | 0.0574672i | 0.00484753 | + | 0.00233445i | ||||
\(607\) | 2.78541 | + | 0.419833i | 0.113056 | + | 0.0170405i | 0.205327 | − | 0.978693i | \(-0.434174\pi\) |
−0.0922704 | + | 0.995734i | \(0.529412\pi\) | |||||||
\(608\) | −17.2472 | − | 29.8730i | −0.699465 | − | 1.21151i | ||||
\(609\) | 0.00569646 | − | 0.00986655i | 0.000230832 | − | 0.000399813i | ||||
\(610\) | 18.0541 | − | 22.6391i | 0.730989 | − | 0.916631i | ||||
\(611\) | −0.889259 | + | 11.8663i | −0.0359756 | + | 0.480061i | ||||
\(612\) | −9.05568 | + | 23.0735i | −0.366054 | + | 0.932691i | ||||
\(613\) | 3.46419 | − | 1.66826i | 0.139917 | − | 0.0673805i | −0.362615 | − | 0.931939i | \(-0.618116\pi\) |
0.502532 | + | 0.864558i | \(0.332402\pi\) | |||||||
\(614\) | −4.04774 | + | 1.24856i | −0.163353 | + | 0.0503878i | ||||
\(615\) | 0.0640306 | + | 0.163147i | 0.00258196 | + | 0.00657873i | ||||
\(616\) | −1.80676 | − | 1.67643i | −0.0727965 | − | 0.0675453i | ||||
\(617\) | 33.6620 | − | 22.9504i | 1.35518 | − | 0.923947i | 0.355241 | − | 0.934775i | \(-0.384399\pi\) |
0.999941 | + | 0.0108275i | \(0.00344656\pi\) | |||||||
\(618\) | −0.00705571 | − | 0.00884757i | −0.000283822 | − | 0.000355902i | ||||
\(619\) | 32.9850 | − | 4.97168i | 1.32578 | − | 0.199829i | 0.552296 | − | 0.833648i | \(-0.313752\pi\) |
0.773481 | + | 0.633819i | \(0.218514\pi\) | |||||||
\(620\) | 21.7624 | + | 6.71281i | 0.873999 | + | 0.269593i | ||||
\(621\) | 0.0175681 | + | 0.234431i | 0.000704985 | + | 0.00940737i | ||||
\(622\) | −3.45498 | − | 2.35557i | −0.138532 | − | 0.0944497i | ||||
\(623\) | −0.108338 | − | 0.474659i | −0.00434046 | − | 0.0190168i | ||||
\(624\) | 0.00163876 | + | 0.00717988i | 6.56029e−5 | + | 0.000287425i | ||||
\(625\) | −10.4715 | − | 7.13936i | −0.418861 | − | 0.285574i | ||||
\(626\) | −0.530814 | − | 7.08322i | −0.0212156 | − | 0.283102i | ||||
\(627\) | −0.333783 | − | 0.102958i | −0.0133300 | − | 0.00411177i | ||||
\(628\) | −24.3806 | + | 3.67478i | −0.972891 | + | 0.146640i | ||||
\(629\) | 21.2008 | + | 26.5850i | 0.845332 | + | 1.06001i | ||||
\(630\) | 1.94186 | − | 1.32394i | 0.0773656 | − | 0.0527469i | ||||
\(631\) | 19.6700 | + | 18.2511i | 0.783049 | + | 0.726563i | 0.966556 | − | 0.256455i | \(-0.0825545\pi\) |
−0.183507 | + | 0.983018i | \(0.558745\pi\) | |||||||
\(632\) | −14.1672 | − | 36.0975i | −0.563541 | − | 1.43588i | ||||
\(633\) | −0.241319 | + | 0.0744370i | −0.00959156 | + | 0.00295860i | ||||
\(634\) | 13.7919 | − | 6.64182i | 0.547746 | − | 0.263780i | ||||
\(635\) | −11.6642 | + | 29.7200i | −0.462881 | + | 1.17940i | ||||
\(636\) | −0.0108436 | + | 0.144698i | −0.000429977 | + | 0.00573765i | ||||
\(637\) | 8.70720 | − | 10.9185i | 0.344992 | − | 0.432606i | ||||
\(638\) | −3.35072 | + | 5.80361i | −0.132656 | + | 0.229767i | ||||
\(639\) | −9.05319 | − | 15.6806i | −0.358139 | − | 0.620314i | ||||
\(640\) | −26.1873 | − | 3.94710i | −1.03514 | − | 0.156023i | ||||
\(641\) | −35.6933 | − | 17.1890i | −1.40980 | − | 0.678923i | −0.434676 | − | 0.900587i | \(-0.643137\pi\) |
−0.975123 | + | 0.221663i | \(0.928851\pi\) | |||||||
\(642\) | −0.0363189 | + | 0.0336990i | −0.00143339 | + | 0.00132999i | ||||
\(643\) | 2.12257 | − | 9.29957i | 0.0837059 | − | 0.366739i | −0.915675 | − | 0.401919i | \(-0.868343\pi\) |
0.999381 | + | 0.0351799i | \(0.0112004\pi\) | |||||||
\(644\) | 0.766158 | 0.0301908 | ||||||||
\(645\) | −0.0242636 | + | 0.396745i | −0.000955380 | + | 0.0156218i | ||||
\(646\) | −32.8388 | −1.29203 | ||||||||
\(647\) | −5.25960 | + | 23.0438i | −0.206776 | + | 0.905946i | 0.759919 | + | 0.650017i | \(0.225238\pi\) |
−0.966696 | + | 0.255929i | \(0.917619\pi\) | |||||||
\(648\) | −18.3425 | + | 17.0193i | −0.720561 | + | 0.668583i | ||||
\(649\) | −39.8054 | − | 19.1693i | −1.56250 | − | 0.752460i | ||||
\(650\) | −11.5034 | − | 1.73385i | −0.451199 | − | 0.0680074i | ||||
\(651\) | 0.0122663 | + | 0.0212459i | 0.000480755 | + | 0.000832692i | ||||
\(652\) | 12.2997 | − | 21.3037i | 0.481693 | − | 0.834317i | ||||
\(653\) | 0.844715 | − | 1.05924i | 0.0330562 | − | 0.0414512i | −0.765029 | − | 0.643996i | \(-0.777275\pi\) |
0.798085 | + | 0.602545i | \(0.205847\pi\) | |||||||
\(654\) | −0.0112749 | + | 0.150453i | −0.000440882 | + | 0.00588316i | ||||
\(655\) | −6.81028 | + | 17.3523i | −0.266100 | + | 0.678011i | ||||
\(656\) | −0.539544 | + | 0.259831i | −0.0210657 | + | 0.0101447i | ||||
\(657\) | −4.78399 | + | 1.47567i | −0.186641 | + | 0.0575712i | ||||
\(658\) | −0.491673 | − | 1.25276i | −0.0191674 | − | 0.0488378i | ||||
\(659\) | 11.3008 | + | 10.4856i | 0.440216 | + | 0.408461i | 0.868895 | − | 0.494996i | \(-0.164831\pi\) |
−0.428679 | + | 0.903457i | \(0.641021\pi\) | |||||||
\(660\) | −0.211485 | + | 0.144188i | −0.00823205 | + | 0.00561252i | ||||
\(661\) | −9.58249 | − | 12.0161i | −0.372716 | − | 0.467371i | 0.559733 | − | 0.828673i | \(-0.310904\pi\) |
−0.932449 | + | 0.361302i | \(0.882332\pi\) | |||||||
\(662\) | 1.58666 | − | 0.239151i | 0.0616673 | − | 0.00929485i | ||||
\(663\) | 0.219018 | + | 0.0675582i | 0.00850597 | + | 0.00262374i | ||||
\(664\) | 1.58878 | + | 21.2007i | 0.0616565 | + | 0.822748i | ||||
\(665\) | −4.59264 | − | 3.13121i | −0.178095 | − | 0.121423i | ||||
\(666\) | 2.98381 | + | 13.0729i | 0.115620 | + | 0.506565i | ||||
\(667\) | −1.18675 | − | 5.19950i | −0.0459512 | − | 0.201325i | ||||
\(668\) | 6.43104 | + | 4.38461i | 0.248824 | + | 0.169646i | ||||
\(669\) | −0.00899695 | − | 0.120056i | −0.000347842 | − | 0.00464163i | ||||
\(670\) | 35.3798 | + | 10.9132i | 1.36684 | + | 0.421614i | ||||
\(671\) | 32.3879 | − | 4.88169i | 1.25032 | − | 0.188455i | ||||
\(672\) | −0.0169766 | − | 0.0212880i | −0.000654888 | − | 0.000821204i | ||||
\(673\) | −37.4014 | + | 25.4998i | −1.44172 | + | 0.982946i | −0.445570 | + | 0.895247i | \(0.646999\pi\) |
−0.996147 | + | 0.0876984i | \(0.972049\pi\) | |||||||
\(674\) | 0.197312 | + | 0.183078i | 0.00760016 | + | 0.00705192i | ||||
\(675\) | −0.263293 | − | 0.670858i | −0.0101341 | − | 0.0258213i | ||||
\(676\) | 10.9465 | − | 3.37655i | 0.421019 | − | 0.129867i | ||||
\(677\) | −5.42739 | + | 2.61370i | −0.208592 | + | 0.100452i | −0.535263 | − | 0.844686i | \(-0.679787\pi\) |
0.326671 | + | 0.945138i | \(0.394073\pi\) | |||||||
\(678\) | 0.0306129 | − | 0.0780003i | 0.00117568 | − | 0.00299558i | ||||
\(679\) | −0.0527781 | + | 0.704274i | −0.00202544 | + | 0.0270276i | ||||
\(680\) | −38.4113 | + | 48.1663i | −1.47301 | + | 1.84709i | ||||
\(681\) | 0.207591 | − | 0.359558i | 0.00795489 | − | 0.0137783i | ||||
\(682\) | −7.21518 | − | 12.4971i | −0.276284 | − | 0.478537i | ||||
\(683\) | −2.80582 | − | 0.422910i | −0.107362 | − | 0.0161822i | 0.0951416 | − | 0.995464i | \(-0.469670\pi\) |
−0.202503 | + | 0.979282i | \(0.564908\pi\) | |||||||
\(684\) | 20.8283 | + | 10.0304i | 0.796389 | + | 0.383521i | ||||
\(685\) | −27.8252 | + | 25.8180i | −1.06315 | + | 0.986457i | ||||
\(686\) | −0.706575 | + | 3.09571i | −0.0269772 | + | 0.118195i | ||||
\(687\) | 0.278393 | 0.0106214 | ||||||||
\(688\) | −1.35803 | + | 0.0186323i | −0.0517745 | + | 0.000710349i | ||||
\(689\) | −12.9367 | −0.492849 | ||||||||
\(690\) | −0.0253914 | + | 0.111247i | −0.000966635 | + | 0.00423510i | ||||
\(691\) | 18.2969 | − | 16.9771i | 0.696048 | − | 0.645839i | −0.250606 | − | 0.968089i | \(-0.580630\pi\) |
0.946654 | + | 0.322251i | \(0.104439\pi\) | |||||||
\(692\) | −12.7346 | − | 6.13268i | −0.484099 | − | 0.233130i | ||||
\(693\) | 2.62874 | + | 0.396219i | 0.0998577 | + | 0.0150511i | ||||
\(694\) | −11.7420 | − | 20.3377i | −0.445719 | − | 0.772008i | ||||
\(695\) | 13.2103 | − | 22.8809i | 0.501094 | − | 0.867921i | ||||
\(696\) | −0.0734274 | + | 0.0920751i | −0.00278326 | + | 0.00349010i | ||||
\(697\) | −1.39279 | + | 18.5855i | −0.0527556 | + | 0.703975i | ||||
\(698\) | 8.41066 | − | 21.4300i | 0.318348 | − | 0.811138i | ||||
\(699\) | 0.0444648 | − | 0.0214131i | 0.00168181 | − | 0.000809918i | ||||
\(700\) | −2.24436 | + | 0.692292i | −0.0848287 | + | 0.0261662i | ||||
\(701\) | 3.98473 | + | 10.1529i | 0.150501 | + | 0.383471i | 0.986164 | − | 0.165772i | \(-0.0530115\pi\) |
−0.835663 | + | 0.549243i | \(0.814916\pi\) | |||||||
\(702\) | 0.132520 | + | 0.122960i | 0.00500164 | + | 0.00464084i | ||||
\(703\) | 26.2029 | − | 17.8648i | 0.988262 | − | 0.673785i | ||||
\(704\) | 9.13510 | + | 11.4550i | 0.344292 | + | 0.431728i | ||||
\(705\) | −0.353816 | + | 0.0533292i | −0.0133255 | + | 0.00200849i | ||||
\(706\) | −15.9236 | − | 4.91177i | −0.599292 | − | 0.184857i | ||||
\(707\) | 0.178161 | + | 2.37739i | 0.00670042 | + | 0.0894109i | ||||
\(708\) | −0.250570 | − | 0.170836i | −0.00941702 | − | 0.00642041i | ||||
\(709\) | 1.03191 | + | 4.52108i | 0.0387541 | + | 0.169793i | 0.990602 | − | 0.136779i | \(-0.0436751\pi\) |
−0.951847 | + | 0.306572i | \(0.900818\pi\) | |||||||
\(710\) | −3.91148 | − | 17.1373i | −0.146795 | − | 0.643151i | ||||
\(711\) | 34.5583 | + | 23.5614i | 1.29604 | + | 0.883622i | ||||
\(712\) | 0.376096 | + | 5.01865i | 0.0140948 | + | 0.188082i | ||||
\(713\) | 10.9739 | + | 3.38501i | 0.410977 | + | 0.126770i | ||||
\(714\) | −0.0256321 | + | 0.00386342i | −0.000959258 | + | 0.000144585i | ||||
\(715\) | −14.2282 | − | 17.8415i | −0.532103 | − | 0.667236i | ||||
\(716\) | −8.61480 | + | 5.87347i | −0.321950 | + | 0.219502i | ||||
\(717\) | −0.0661749 | − | 0.0614013i | −0.00247135 | − | 0.00229307i | ||||
\(718\) | 2.44627 | + | 6.23299i | 0.0912939 | + | 0.232613i | ||||
\(719\) | −40.4359 | + | 12.4728i | −1.50801 | + | 0.465158i | −0.935076 | − | 0.354447i | \(-0.884669\pi\) |
−0.572929 | + | 0.819605i | \(0.694193\pi\) | |||||||
\(720\) | 1.92366 | − | 0.926385i | 0.0716905 | − | 0.0345243i | ||||
\(721\) | 0.0744182 | − | 0.189614i | 0.00277148 | − | 0.00706161i | ||||
\(722\) | −1.08558 | + | 14.4860i | −0.0404010 | + | 0.539113i | ||||
\(723\) | −0.0642421 | + | 0.0805570i | −0.00238919 | + | 0.00299595i | ||||
\(724\) | 3.87530 | − | 6.71221i | 0.144024 | − | 0.249457i | ||||
\(725\) | 8.17464 | + | 14.1589i | 0.303599 | + | 0.525848i | ||||
\(726\) | −0.00220697 | 0.000332647i | −8.19084e−5 | 1.23457e-5i | ||||||
\(727\) | 2.50295 | + | 1.20536i | 0.0928293 | + | 0.0447042i | 0.479722 | − | 0.877420i | \(-0.340737\pi\) |
−0.386893 | + | 0.922125i | \(0.626452\pi\) | |||||||
\(728\) | 1.10570 | − | 1.02594i | 0.0409800 | − | 0.0380239i | ||||
\(729\) | 6.00433 | − | 26.3067i | 0.222382 | − | 0.974321i | ||||
\(730\) | −4.86032 | −0.179889 | ||||||||
\(731\) | −20.6304 | + | 36.8926i | −0.763042 | + | 1.36452i | ||||
\(732\) | 0.224829 | 0.00830993 | ||||||||
\(733\) | 9.70495 | − | 42.5201i | 0.358460 | − | 1.57052i | −0.398570 | − | 0.917138i | \(-0.630493\pi\) |
0.757031 | − | 0.653380i | \(-0.226649\pi\) | |||||||
\(734\) | 12.5266 | − | 11.6230i | 0.462364 | − | 0.429011i | ||||
\(735\) | 0.378340 | + | 0.182199i | 0.0139553 | + | 0.00672050i | ||||
\(736\) | −12.6037 | − | 1.89971i | −0.464579 | − | 0.0700241i | ||||
\(737\) | 20.9399 | + | 36.2690i | 0.771332 | + | 1.33599i | ||||
\(738\) | −3.67482 | + | 6.36498i | −0.135272 | + | 0.234298i | ||||
\(739\) | −1.70413 | + | 2.13692i | −0.0626876 | + | 0.0786077i | −0.812187 | − | 0.583398i | \(-0.801723\pi\) |
0.749499 | + | 0.662005i | \(0.230294\pi\) | |||||||
\(740\) | 1.73665 | − | 23.1740i | 0.0638407 | − | 0.851895i | ||||
\(741\) | 0.0780973 | − | 0.198989i | 0.00286898 | − | 0.00731003i | ||||
\(742\) | 1.31819 | − | 0.634807i | 0.0483923 | − | 0.0233045i | ||||
\(743\) | 38.0996 | − | 11.7522i | 1.39774 | − | 0.431145i | 0.497849 | − | 0.867264i | \(-0.334123\pi\) |
0.899889 | + | 0.436119i | \(0.143647\pi\) | |||||||
\(744\) | −0.0926482 | − | 0.236064i | −0.00339665 | − | 0.00865452i | ||||
\(745\) | 2.36851 | + | 2.19766i | 0.0867756 | + | 0.0805160i | ||||
\(746\) | 5.53490 | − | 3.77363i | 0.202647 | − | 0.138163i | ||||
\(747\) | −14.2974 | − | 17.9284i | −0.523114 | − | 0.655964i | ||||
\(748\) | −26.9152 | + | 4.05681i | −0.984116 | + | 0.148332i | ||||
\(749\) | −0.852179 | − | 0.262862i | −0.0311379 | − | 0.00960478i | ||||
\(750\) | −0.00694795 | − | 0.0927139i | −0.000253703 | − | 0.00338543i | ||||
\(751\) | 37.1303 | + | 25.3150i | 1.35491 | + | 0.923759i | 0.999938 | − | 0.0111198i | \(-0.00353962\pi\) |
0.354967 | + | 0.934879i | \(0.384492\pi\) | |||||||
\(752\) | −0.272054 | − | 1.19194i | −0.00992078 | − | 0.0434658i | ||||
\(753\) | 0.0345087 | + | 0.151193i | 0.00125757 | + | 0.00550977i | ||||
\(754\) | −3.38852 | − | 2.31026i | −0.123403 | − | 0.0841346i | ||||
\(755\) | −2.82450 | − | 37.6903i | −0.102794 | − | 1.37169i | ||||
\(756\) | 0.0348767 | + | 0.0107580i | 0.00126845 | + | 0.000391266i | ||||
\(757\) | −12.7269 | + | 1.91827i | −0.462566 | + | 0.0697207i | −0.376191 | − | 0.926542i | \(-0.622766\pi\) |
−0.0863751 | + | 0.996263i | \(0.527528\pi\) | |||||||
\(758\) | 12.9380 | + | 16.2238i | 0.469930 | + | 0.589273i | ||||
\(759\) | −0.106644 | + | 0.0727085i | −0.00387092 | + | 0.00263915i | ||||
\(760\) | 42.1197 | + | 39.0814i | 1.52784 | + | 1.41763i | ||||
\(761\) | −3.08333 | − | 7.85619i | −0.111771 | − | 0.284787i | 0.864033 | − | 0.503435i | \(-0.167931\pi\) |
−0.975804 | + | 0.218648i | \(0.929835\pi\) | |||||||
\(762\) | 0.132693 | − | 0.0409304i | 0.00480696 | − | 0.00148275i | ||||
\(763\) | −2.44678 | + | 1.17831i | −0.0885795 | + | 0.0426576i | ||||
\(764\) | 7.22609 | − | 18.4118i | 0.261431 | − | 0.666115i | ||||
\(765\) | 4.96576 | − | 66.2635i | 0.179537 | − | 2.39576i | ||||
\(766\) | 14.5921 | − | 18.2979i | 0.527233 | − | 0.661129i | ||||
\(767\) | 13.5188 | − | 23.4153i | 0.488137 | − | 0.845478i | ||||
\(768\) | 0.136047 | + | 0.235640i | 0.00490917 | + | 0.00850293i | ||||
\(769\) | −29.1469 | − | 4.39319i | −1.05106 | − | 0.158422i | −0.399282 | − | 0.916828i | \(-0.630740\pi\) |
−0.651783 | + | 0.758406i | \(0.725979\pi\) | |||||||
\(770\) | 2.32528 | + | 1.11979i | 0.0837971 | + | 0.0403546i | ||||
\(771\) | 0.0778739 | − | 0.0722564i | 0.00280456 | − | 0.00260225i | ||||
\(772\) | −0.695142 | + | 3.04562i | −0.0250187 | + | 0.109614i | ||||
\(773\) | −32.7084 | −1.17644 | −0.588220 | − | 0.808701i | \(-0.700171\pi\) | ||||
−0.588220 | + | 0.808701i | \(0.700171\pi\) | |||||||
\(774\) | −13.6421 | + | 9.57782i | −0.490357 | + | 0.344268i | ||||
\(775\) | −35.2053 | −1.26461 | ||||||||
\(776\) | 1.62451 | − | 7.11745i | 0.0583166 | − | 0.255502i | ||||
\(777\) | 0.0183507 | − | 0.0170270i | 0.000658329 | − | 0.000610840i | ||||
\(778\) | 21.1255 | + | 10.1735i | 0.757384 | + | 0.364737i | ||||
\(779\) | 17.1883 | + | 2.59072i | 0.615834 | + | 0.0928220i | ||||
\(780\) | −0.0783216 | − | 0.135657i | −0.00280436 | − | 0.00485730i | ||||
\(781\) | 9.94154 | − | 17.2193i | 0.355736 | − | 0.616154i | ||||
\(782\) | −7.56565 | + | 9.48702i | −0.270547 | + | 0.339255i | ||||
\(783\) | 0.0189862 | − | 0.253353i | 0.000678510 | − | 0.00905409i | ||||
\(784\) | −0.524202 | + | 1.33564i | −0.0187215 | + | 0.0477016i | ||||
\(785\) | 59.5524 | − | 28.6789i | 2.12552 | − | 1.02359i | ||||
\(786\) | 0.0774742 | − | 0.0238976i | 0.00276341 | − | 0.000852400i | ||||
\(787\) | 1.27793 | + | 3.25611i | 0.0455532 | + | 0.116068i | 0.951840 | − | 0.306596i | \(-0.0991902\pi\) |
−0.906286 | + | 0.422664i | \(0.861095\pi\) | |||||||
\(788\) | −2.34124 | − | 2.17236i | −0.0834034 | − | 0.0773870i | ||||
\(789\) | 0.352179 | − | 0.240111i | 0.0125379 | − | 0.00854819i | ||||
\(790\) | 25.3171 | + | 31.7466i | 0.900742 | + | 1.12949i | ||||
\(791\) | 1.49141 | − | 0.224794i | 0.0530285 | − | 0.00799275i | ||||
\(792\) | −26.2594 | − | 8.09994i | −0.933086 | − | 0.287819i | ||||
\(793\) | 1.49794 | + | 19.9886i | 0.0531932 | + | 0.709814i | ||||
\(794\) | −7.07009 | − | 4.82031i | −0.250908 | − | 0.171066i | ||||
\(795\) | −0.0865599 | − | 0.379244i | −0.00306996 | − | 0.0134504i | ||||
\(796\) | 2.35652 | + | 10.3246i | 0.0835245 | + | 0.365945i | ||||
\(797\) | 8.19917 | + | 5.59010i | 0.290429 | + | 0.198011i | 0.699766 | − | 0.714372i | \(-0.253287\pi\) |
−0.409337 | + | 0.912383i | \(0.634240\pi\) | |||||||
\(798\) | 0.00180667 | + | 0.0241083i | 6.39554e−5 | + | 0.000853425i | ||||
\(799\) | −36.3597 | − | 11.2155i | −1.28631 | − | 0.396775i | ||||
\(800\) | 38.6375 | − | 5.82366i | 1.36604 | − | 0.205897i | ||||
\(801\) | −3.38449 | − | 4.24401i | −0.119585 | − | 0.149955i | ||||
\(802\) | −23.4220 | + | 15.9689i | −0.827061 | + | 0.563881i | ||||
\(803\) | −4.03008 | − | 3.73937i | −0.142218 | − | 0.131959i | ||||
\(804\) | 0.105026 | + | 0.267601i | 0.00370397 | + | 0.00943757i | ||||
\(805\) | −1.96268 | + | 0.605407i | −0.0691754 | + | 0.0213378i | ||||
\(806\) | 7.95654 | − | 3.83167i | 0.280257 | − | 0.134965i | ||||
\(807\) | −0.0282471 | + | 0.0719724i | −0.000994345 | + | 0.00253355i | ||||
\(808\) | 1.84165 | − | 24.5751i | 0.0647889 | − | 0.864547i | ||||
\(809\) | −4.95941 | + | 6.21890i | −0.174363 | + | 0.218645i | −0.861332 | − | 0.508042i | \(-0.830369\pi\) |
0.686969 | + | 0.726687i | \(0.258941\pi\) | |||||||
\(810\) | 13.1006 | − | 22.6909i | 0.460309 | − | 0.797278i | ||||
\(811\) | 23.5508 | + | 40.7913i | 0.826982 | + | 1.43238i | 0.900395 | + | 0.435073i | \(0.143278\pi\) |
−0.0734128 | + | 0.997302i | \(0.523389\pi\) | |||||||
\(812\) | −0.818751 | − | 0.123407i | −0.0287325 | − | 0.00433073i | ||||
\(813\) | −0.449292 | − | 0.216368i | −0.0157574 | − | 0.00758835i | ||||
\(814\) | −10.7941 | + | 10.0155i | −0.378333 | + | 0.351042i | ||||
\(815\) | −14.6745 | + | 64.2931i | −0.514024 | + | 2.25209i | ||||
\(816\) | −0.0235488 | −0.000824371 | ||||||||
\(817\) | 32.8740 | + | 21.7585i | 1.15011 | + | 0.761234i | ||||
\(818\) | −19.8247 | −0.693154 | ||||||||
\(819\) | −0.362021 | + | 1.58612i | −0.0126500 | + | 0.0554235i | ||||
\(820\) | 9.33725 | − | 8.66370i | 0.326071 | − | 0.302549i | ||||
\(821\) | −39.4286 | − | 18.9878i | −1.37607 | − | 0.662679i | −0.407909 | − | 0.913022i | \(-0.633742\pi\) |
−0.968157 | + | 0.250344i | \(0.919456\pi\) | |||||||
\(822\) | 0.163250 | + | 0.0246060i | 0.00569399 | + | 0.000858231i | ||||
\(823\) | −27.9019 | − | 48.3275i | −0.972599 | − | 1.68459i | −0.687642 | − | 0.726050i | \(-0.741354\pi\) |
−0.284956 | − | 0.958541i | \(-0.591979\pi\) | |||||||
\(824\) | −1.05280 | + | 1.82350i | −0.0366760 | + | 0.0635246i | ||||
\(825\) | 0.246700 | − | 0.309352i | 0.00858899 | − | 0.0107703i | ||||
\(826\) | −0.228513 | + | 3.04929i | −0.00795097 | + | 0.106098i | ||||
\(827\) | −1.87676 | + | 4.78192i | −0.0652615 | + | 0.166284i | −0.959784 | − | 0.280739i | \(-0.909420\pi\) |
0.894523 | + | 0.447023i | \(0.147516\pi\) | |||||||
\(828\) | 7.69631 | − | 3.70635i | 0.267465 | − | 0.128804i | ||||
\(829\) | −3.41761 | + | 1.05419i | −0.118698 | + | 0.0366136i | −0.353535 | − | 0.935421i | \(-0.615021\pi\) |
0.234837 | + | 0.972035i | \(0.424544\pi\) | |||||||
\(830\) | −8.13325 | − | 20.7232i | −0.282309 | − | 0.719312i | ||||
\(831\) | −0.298008 | − | 0.276511i | −0.0103378 | − | 0.00959205i | ||||
\(832\) | −7.40843 | + | 5.05098i | −0.256841 | + | 0.175111i | ||||
\(833\) | 27.8421 | + | 34.9129i | 0.964671 | + | 1.20966i | ||||
\(834\) | −0.113629 | + | 0.0171269i | −0.00393466 | + | 0.000593055i | ||||
\(835\) | −19.9392 | − | 6.15042i | −0.690023 | − | 0.212844i | ||||
\(836\) | 1.89710 | + | 25.3151i | 0.0656127 | + | 0.875541i | ||||
\(837\) | 0.452019 | + | 0.308182i | 0.0156241 | + | 0.0106523i | ||||
\(838\) | −3.42692 | − | 15.0143i | −0.118381 | − | 0.518661i | ||||
\(839\) | 9.15090 | + | 40.0927i | 0.315924 | + | 1.38415i | 0.844631 | + | 0.535350i | \(0.179820\pi\) |
−0.528706 | + | 0.848805i | \(0.677323\pi\) | |||||||
\(840\) | 0.0374741 | + | 0.0255494i | 0.00129298 | + | 0.000881539i | ||||
\(841\) | −1.73645 | − | 23.1713i | −0.0598776 | − | 0.799012i | ||||
\(842\) | 23.7240 | + | 7.31789i | 0.817583 | + | 0.252191i | ||||
\(843\) | −0.311603 | + | 0.0469667i | −0.0107322 | + | 0.00161762i | ||||
\(844\) | 11.4433 | + | 14.3495i | 0.393895 | + | 0.493929i | ||||
\(845\) | −25.3737 | + | 17.2995i | −0.872883 | + | 0.595122i | ||||
\(846\) | −10.9994 | − | 10.2059i | −0.378166 | − | 0.350887i | ||||
\(847\) | −0.0146772 | − | 0.0373969i | −0.000504314 | − | 0.00128497i | ||||
\(848\) | 1.27010 | − | 0.391774i | 0.0436154 | − | 0.0134536i | ||||
\(849\) | 0.224184 | − | 0.107961i | 0.00769399 | − | 0.00370523i | ||||
\(850\) | 13.5902 | − | 34.6272i | 0.466139 | − | 1.18770i | ||||
\(851\) | 0.875727 | − | 11.6858i | 0.0300195 | − | 0.400583i | ||||
\(852\) | 0.0850953 | − | 0.106706i | 0.00291532 | − | 0.00365569i | ||||
\(853\) | 10.5523 | − | 18.2771i | 0.361304 | − | 0.625797i | −0.626871 | − | 0.779123i | \(-0.715665\pi\) |
0.988176 | + | 0.153325i | \(0.0489982\pi\) | |||||||
\(854\) | −1.13348 | − | 1.96324i | −0.0387868 | − | 0.0671807i | ||||
\(855\) | −61.2820 | − | 9.23678i | −2.09580 | − | 0.315891i | ||||
\(856\) | 8.30560 | + | 3.99977i | 0.283880 | + | 0.136709i | ||||
\(857\) | −23.2674 | + | 21.5890i | −0.794799 | + | 0.737466i | −0.968951 | − | 0.247253i | \(-0.920472\pi\) |
0.174152 | + | 0.984719i | \(0.444282\pi\) | |||||||
\(858\) | −0.0220860 | + | 0.0967650i | −0.000754003 | + | 0.00330350i | ||||
\(859\) | −29.8703 | −1.01916 | −0.509581 | − | 0.860423i | \(-0.670200\pi\) | ||||
−0.509581 | + | 0.860423i | \(0.670200\pi\) | |||||||
\(860\) | 27.4852 | − | 8.89279i | 0.937237 | − | 0.303241i | ||||
\(861\) | 0.0137210 | 0.000467610 | ||||||||
\(862\) | 0.556639 | − | 2.43879i | 0.0189592 | − | 0.0830656i | ||||
\(863\) | −21.8250 | + | 20.2507i | −0.742933 | + | 0.689341i | −0.957843 | − | 0.287293i | \(-0.907245\pi\) |
0.214910 | + | 0.976634i | \(0.431054\pi\) | |||||||
\(864\) | −0.547066 | − | 0.263453i | −0.0186115 | − | 0.00896285i | ||||
\(865\) | 37.4685 | + | 5.64747i | 1.27397 | + | 0.192020i | ||||
\(866\) | 14.2409 | + | 24.6660i | 0.483926 | + | 0.838185i | ||||
\(867\) | −0.216519 | + | 0.375021i | −0.00735336 | + | 0.0127364i | ||||
\(868\) | 1.11165 | − | 1.39397i | 0.0377319 | − | 0.0473143i | ||||
\(869\) | −3.43237 | + | 45.8018i | −0.116435 | + | 1.55372i | ||||
\(870\) | 0.0450532 | − | 0.114794i | 0.00152745 | − | 0.00389187i | ||||
\(871\) | −23.0915 | + | 11.1203i | −0.782425 | + | 0.376796i | ||||
\(872\) | 26.8252 | − | 8.27449i | 0.908417 | − | 0.280210i | ||||
\(873\) | 2.87681 | + | 7.32999i | 0.0973652 | + | 0.248082i | ||||
\(874\) | 8.29606 | + | 7.69762i | 0.280619 | + | 0.260376i | ||||
\(875\) | 1.38273 | − | 0.942727i | 0.0467447 | − | 0.0318700i | ||||
\(876\) | −0.0235288 | − | 0.0295042i | −0.000794966 | − | 0.000996856i | ||||
\(877\) | −10.5286 | + | 1.58692i | −0.355524 | + | 0.0535866i | −0.324376 | − | 0.945928i | \(-0.605154\pi\) |
−0.0311478 | + | 0.999515i | \(0.509916\pi\) | |||||||
\(878\) | −17.4831 | − | 5.39281i | −0.590025 | − | 0.181999i | ||||
\(879\) | 0.00822360 | + | 0.109736i | 0.000277375 | + | 0.00370131i | ||||
\(880\) | 1.93721 | + | 1.32076i | 0.0653032 | + | 0.0445230i | ||||
\(881\) | 1.95405 | + | 8.56125i | 0.0658336 | + | 0.288436i | 0.997119 | − | 0.0758550i | \(-0.0241686\pi\) |
−0.931285 | + | 0.364291i | \(0.881311\pi\) | |||||||
\(882\) | 3.91850 | + | 17.1681i | 0.131943 | + | 0.578079i | ||||
\(883\) | −37.3482 | − | 25.4636i | −1.25687 | − | 0.856918i | −0.262712 | − | 0.964874i | \(-0.584617\pi\) |
−0.994156 | + | 0.107956i | \(0.965569\pi\) | |||||||
\(884\) | −1.24482 | − | 16.6110i | −0.0418679 | − | 0.558689i | ||||
\(885\) | 0.776883 | + | 0.239637i | 0.0261146 | + | 0.00805530i | ||||
\(886\) | 2.96951 | − | 0.447582i | 0.0997627 | − | 0.0150368i | ||||
\(887\) | −18.9884 | − | 23.8107i | −0.637569 | − | 0.799486i | 0.353128 | − | 0.935575i | \(-0.385118\pi\) |
−0.990697 | + | 0.136089i | \(0.956547\pi\) | |||||||
\(888\) | −0.213806 | + | 0.145770i | −0.00717484 | + | 0.00489173i | ||||
\(889\) | 1.83227 | + | 1.70010i | 0.0614523 | + | 0.0570194i | ||||
\(890\) | −1.92531 | − | 4.90560i | −0.0645365 | − | 0.164436i | ||||
\(891\) | 28.3204 | − | 8.73569i | 0.948770 | − | 0.292657i | ||||
\(892\) | −7.88324 | + | 3.79637i | −0.263950 | + | 0.127112i | ||||
\(893\) | −12.9651 | + | 33.0345i | −0.433860 | + | 1.10546i | ||||
\(894\) | 0.00105018 | − | 0.0140137i | 3.51232e−5 | − | 0.000468687i | ||||
\(895\) | 17.4276 | − | 21.8535i | 0.582539 | − | 0.730481i | ||||
\(896\) | −1.03666 | + | 1.79554i | −0.0346322 | + | 0.0599848i | ||||
\(897\) | −0.0394945 | − | 0.0684065i | −0.00131868 | − | 0.00228403i | ||||
\(898\) | −19.2987 | − | 2.90881i | −0.644006 | − | 0.0970683i | ||||
\(899\) | −11.1820 | − | 5.38497i | −0.372941 | − | 0.179599i | ||||
\(900\) | −19.1963 | + | 17.8116i | −0.639876 | + | 0.593718i | ||||
\(901\) | 9.20487 | − | 40.3291i | 0.306659 | − | 1.34356i | ||||
\(902\) | −8.07084 | −0.268729 | ||||||||
\(903\) | 0.0282194 | + | 0.0131159i | 0.000939083 | + | 0.000436470i | ||||
\(904\) | −15.5908 | −0.518544 | ||||||||
\(905\) | −4.62352 | + | 20.2570i | −0.153691 | + | 0.673365i | ||||
\(906\) | −0.120506 | + | 0.111813i | −0.00400353 | + | 0.00371474i | ||||
\(907\) | −33.3055 | − | 16.0391i | −1.10589 | − | 0.532570i | −0.210386 | − | 0.977618i | \(-0.567472\pi\) |
−0.895506 | + | 0.445049i | \(0.853186\pi\) | |||||||
\(908\) | −29.8370 | − | 4.49720i | −0.990175 | − | 0.149245i | ||||
\(909\) | 13.2905 | + | 23.0198i | 0.440818 | + | 0.763518i | ||||
\(910\) | −0.789717 | + | 1.36783i | −0.0261789 | + | 0.0453431i | ||||
\(911\) | 2.30448 | − | 2.88972i | 0.0763507 | − | 0.0957407i | −0.742189 | − | 0.670190i | \(-0.766212\pi\) |
0.818540 | + | 0.574450i | \(0.194784\pi\) | |||||||
\(912\) | −0.00164129 | + | 0.0219014i | −5.43484e−5 | + | 0.000725229i | ||||
\(913\) | 9.19979 | − | 23.4407i | 0.304469 | − | 0.775773i | ||||
\(914\) | −6.17340 | + | 2.97295i | −0.204198 | + | 0.0983366i | ||||
\(915\) | −0.575949 | + | 0.177657i | −0.0190403 | + | 0.00587315i | ||||
\(916\) | −7.39183 | − | 18.8341i | −0.244233 | − | 0.622296i | ||||
\(917\) | 1.06979 | + | 0.992618i | 0.0353275 | + | 0.0327791i | ||||
\(918\) | −0.477612 | + | 0.325630i | −0.0157635 | + | 0.0107474i | ||||
\(919\) | −9.80585 | − | 12.2961i | −0.323465 | − | 0.405612i | 0.593337 | − | 0.804954i | \(-0.297810\pi\) |
−0.916802 | + | 0.399342i | \(0.869239\pi\) | |||||||
\(920\) | 20.9943 | − | 3.16439i | 0.692163 | − | 0.104327i | ||||
\(921\) | 0.0842531 | + | 0.0259886i | 0.00277623 | + | 0.000856355i | ||||
\(922\) | −0.622752 | − | 8.31004i | −0.0205092 | − | 0.273677i | ||||
\(923\) | 10.0537 | + | 6.85450i | 0.330922 | + | 0.225619i | ||||
\(924\) | 0.00445904 | + | 0.0195363i | 0.000146692 | + | 0.000642698i | ||||
\(925\) | 7.99381 | + | 35.0232i | 0.262835 | + | 1.15156i | ||||
\(926\) | 21.1086 | + | 14.3916i | 0.693671 | + | 0.472937i | ||||
\(927\) | −0.169719 | − | 2.26474i | −0.00557431 | − | 0.0743840i | ||||
\(928\) | 13.1629 | + | 4.06022i | 0.432094 | + | 0.133283i | ||||
\(929\) | 18.5921 | − | 2.80230i | 0.609986 | − | 0.0919406i | 0.163217 | − | 0.986590i | \(-0.447813\pi\) |
0.446769 | + | 0.894649i | \(0.352575\pi\) | |||||||
\(930\) | 0.165564 | + | 0.207611i | 0.00542906 | + | 0.00680783i | ||||
\(931\) | 34.4111 | − | 23.4611i | 1.12778 | − | 0.768907i | ||||
\(932\) | −2.62928 | − | 2.43961i | −0.0861248 | − | 0.0799121i | ||||
\(933\) | 0.0317989 | + | 0.0810224i | 0.00104105 | + | 0.00265255i | ||||
\(934\) | 19.6481 | − | 6.06064i | 0.642906 | − | 0.198310i | ||||
\(935\) | 65.7434 | − | 31.6604i | 2.15004 | − | 1.03540i | ||||
\(936\) | 6.14407 | − | 15.6548i | 0.200825 | − | 0.511694i | ||||
\(937\) | 0.851277 | − | 11.3595i | 0.0278100 | − | 0.371099i | −0.965884 | − | 0.258974i | \(-0.916615\pi\) |
0.993694 | − | 0.112124i | \(-0.0357655\pi\) | |||||||
\(938\) | 1.80724 | − | 2.26621i | 0.0590086 | − | 0.0739945i | ||||
\(939\) | −0.0739249 | + | 0.128042i | −0.00241245 | + | 0.00417848i | ||||
\(940\) | 13.0023 | + | 22.5207i | 0.424089 | + | 0.734543i | ||||
\(941\) | 38.2402 | + | 5.76378i | 1.24660 | + | 0.187894i | 0.739002 | − | 0.673703i | \(-0.235297\pi\) |
0.507593 | + | 0.861597i | \(0.330535\pi\) | |||||||
\(942\) | −0.259016 | − | 0.124735i | −0.00843919 | − | 0.00406410i | ||||
\(943\) | 4.70841 | − | 4.36877i | 0.153327 | − | 0.142267i | ||||
\(944\) | −0.618146 | + | 2.70827i | −0.0201189 | + | 0.0881468i | ||||
\(945\) | −0.0978450 | −0.00318290 | ||||||||
\(946\) | −16.5990 | − | 7.71492i | −0.539679 | − | 0.250834i | ||||
\(947\) | −13.9735 | −0.454077 | −0.227039 | − | 0.973886i | \(-0.572904\pi\) | ||||
−0.227039 | + | 0.973886i | \(0.572904\pi\) | |||||||
\(948\) | −0.0701555 | + | 0.307371i | −0.00227854 | + | 0.00998295i | ||||
\(949\) | 2.46633 | − | 2.28842i | 0.0800604 | − | 0.0742852i | ||||
\(950\) | −31.2577 | − | 15.0529i | −1.01413 | − | 0.488381i | ||||
\(951\) | −0.315072 | − | 0.0474894i | −0.0102169 | − | 0.00153995i | ||||
\(952\) | 2.41155 | + | 4.17693i | 0.0781588 | + | 0.135375i | ||||
\(953\) | 29.1009 | − | 50.4042i | 0.942670 | − | 1.63275i | 0.182321 | − | 0.983239i | \(-0.441639\pi\) |
0.760350 | − | 0.649514i | \(-0.225028\pi\) | |||||||
\(954\) | 10.1707 | − | 12.7537i | 0.329290 | − | 0.412916i | ||||
\(955\) | −3.96249 | + | 52.8757i | −0.128223 | + | 1.71102i | ||||
\(956\) | −2.39691 | + | 6.10723i | −0.0775216 | + | 0.197522i | ||||
\(957\) | 0.125676 | − | 0.0605222i | 0.00406252 | − | 0.00195641i | ||||
\(958\) | 0.0495103 | − | 0.0152719i | 0.00159961 | − | 0.000493413i | ||||
\(959\) | 1.08567 | + | 2.76625i | 0.0350582 | + | 0.0893268i | ||||
\(960\) | −0.197642 | − | 0.183385i | −0.00637885 | − | 0.00591871i | ||||
\(961\) | −3.53207 | + | 2.40813i | −0.113938 | + | 0.0776815i | ||||
\(962\) | −5.61848 | − | 7.04535i | −0.181147 | − | 0.227151i | ||||
\(963\) | −9.83204 | + | 1.48194i | −0.316833 | + | 0.0477549i | ||||
\(964\) | 7.15565 | + | 2.20723i | 0.230468 | + | 0.0710899i | ||||
\(965\) | −0.625843 | − | 8.35130i | −0.0201466 | − | 0.268838i | ||||
\(966\) | 0.00738105 | + | 0.00503231i | 0.000237481 | + | 0.000161912i | ||||
\(967\) | 4.46525 | + | 19.5635i | 0.143593 | + | 0.629121i | 0.994584 | + | 0.103940i | \(0.0331451\pi\) |
−0.850991 | + | 0.525181i | \(0.823998\pi\) | |||||||
\(968\) | 0.0924080 | + | 0.404866i | 0.00297011 | + | 0.0130129i | ||||
\(969\) | 0.564763 | + | 0.385049i | 0.0181428 | + | 0.0123696i | ||||
\(970\) | 0.571276 | + | 7.62315i | 0.0183426 | + | 0.244765i | ||||
\(971\) | 56.6062 | + | 17.4607i | 1.81658 | + | 0.560340i | 0.999861 | − | 0.0166975i | \(-0.00531524\pi\) |
0.816718 | + | 0.577038i | \(0.195791\pi\) | |||||||
\(972\) | 0.603596 | − | 0.0909775i | 0.0193604 | − | 0.00291810i | ||||
\(973\) | −1.28964 | − | 1.61715i | −0.0413439 | − | 0.0518436i | ||||
\(974\) | −16.2529 | + | 11.0811i | −0.520777 | + | 0.355060i | ||||
\(975\) | 0.177505 | + | 0.164701i | 0.00568472 | + | 0.00527465i | ||||
\(976\) | −0.752397 | − | 1.91708i | −0.0240836 | − | 0.0613641i | ||||
\(977\) | −41.6110 | + | 12.8353i | −1.33125 | + | 0.410637i | −0.877109 | − | 0.480291i | \(-0.840531\pi\) |
−0.454144 | + | 0.890928i | \(0.650055\pi\) | |||||||
\(978\) | 0.258421 | − | 0.124449i | 0.00826340 | − | 0.00397944i | ||||
\(979\) | 2.17778 | − | 5.54889i | 0.0696022 | − | 0.177343i | ||||
\(980\) | 2.28067 | − | 30.4334i | 0.0728533 | − | 0.972160i | ||||
\(981\) | −18.8786 | + | 23.6730i | −0.602747 | + | 0.755821i | ||||
\(982\) | −4.39406 | + | 7.61073i | −0.140220 | + | 0.242868i | ||||
\(983\) | −1.58270 | − | 2.74132i | −0.0504804 | − | 0.0874346i | 0.839681 | − | 0.543080i | \(-0.182742\pi\) |
−0.890161 | + | 0.455645i | \(0.849409\pi\) | |||||||
\(984\) | −0.140250 | − | 0.0211392i | −0.00447099 | − | 0.000673894i | ||||
\(985\) | 7.71417 | + | 3.71495i | 0.245794 | + | 0.118368i | ||||
\(986\) | 9.61309 | − | 8.91964i | 0.306143 | − | 0.284059i | ||||
\(987\) | −0.00623337 | + | 0.0273102i | −0.000198410 | + | 0.000869292i | ||||
\(988\) | −15.5358 | −0.494259 | ||||||||
\(989\) | 13.8597 | − | 4.48429i | 0.440713 | − | 0.142592i | ||||
\(990\) | 28.7753 | 0.914538 | ||||||||
\(991\) | −0.746829 | + | 3.27207i | −0.0237238 | + | 0.103941i | −0.985404 | − | 0.170234i | \(-0.945548\pi\) |
0.961680 | + | 0.274175i | \(0.0884047\pi\) | |||||||
\(992\) | −21.7437 | + | 20.1752i | −0.690362 | + | 0.640562i | ||||
\(993\) | −0.0300916 | − | 0.0144914i | −0.000954928 | − | 0.000459869i | ||||
\(994\) | −1.36078 | − | 0.205105i | −0.0431614 | − | 0.00650553i | ||||
\(995\) | −14.1951 | − | 24.5866i | −0.450013 | − | 0.779446i | ||||
\(996\) | 0.0864255 | − | 0.149693i | 0.00273850 | − | 0.00474321i | ||||
\(997\) | 33.5063 | − | 42.0156i | 1.06116 | − | 1.33065i | 0.119963 | − | 0.992778i | \(-0.461722\pi\) |
0.941193 | − | 0.337869i | \(-0.109706\pi\) | |||||||
\(998\) | −0.765682 | + | 10.2173i | −0.0242372 | + | 0.323424i | ||||
\(999\) | 0.203950 | − | 0.519657i | 0.00645271 | − | 0.0164412i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.2.g.a.13.2 | yes | 36 | |
3.2 | odd | 2 | 387.2.y.c.271.2 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.529.1 | 36 | |||
43.10 | even | 21 | inner | 43.2.g.a.10.2 | ✓ | 36 | |
43.15 | even | 21 | 1849.2.a.n.1.9 | 18 | |||
43.28 | odd | 42 | 1849.2.a.o.1.10 | 18 | |||
129.53 | odd | 42 | 387.2.y.c.10.2 | 36 | |||
172.139 | odd | 42 | 688.2.bg.c.225.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.10.2 | ✓ | 36 | 43.10 | even | 21 | inner | |
43.2.g.a.13.2 | yes | 36 | 1.1 | even | 1 | trivial | |
387.2.y.c.10.2 | 36 | 129.53 | odd | 42 | |||
387.2.y.c.271.2 | 36 | 3.2 | odd | 2 | |||
688.2.bg.c.225.1 | 36 | 172.139 | odd | 42 | |||
688.2.bg.c.529.1 | 36 | 4.3 | odd | 2 | |||
1849.2.a.n.1.9 | 18 | 43.15 | even | 21 | |||
1849.2.a.o.1.10 | 18 | 43.28 | odd | 42 |