Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 270.3 | ||
Character | \(\chi\) | \(=\) | 841.270 |
Dual form | 841.2.e.j.651.3 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.268155 | + | 0.556829i | 0.189614 | + | 0.393738i | 0.974004 | − | 0.226530i | \(-0.0727382\pi\) |
−0.784390 | + | 0.620268i | \(0.787024\pi\) | |||||||
\(3\) | −0.483198 | + | 0.385338i | −0.278975 | + | 0.222475i | −0.752974 | − | 0.658050i | \(-0.771381\pi\) |
0.473999 | + | 0.880525i | \(0.342810\pi\) | |||||||
\(4\) | 1.00883 | − | 1.26503i | 0.504414 | − | 0.632515i | ||||
\(5\) | 3.47243 | − | 1.67223i | 1.55292 | − | 0.747845i | 0.556374 | − | 0.830932i | \(-0.312192\pi\) |
0.996542 | + | 0.0830872i | \(0.0264780\pi\) | |||||||
\(6\) | −0.344139 | − | 0.165729i | −0.140494 | − | 0.0676585i | ||||
\(7\) | −1.39417 | − | 1.74823i | −0.526945 | − | 0.660768i | 0.445122 | − | 0.895470i | \(-0.353160\pi\) |
−0.972067 | + | 0.234702i | \(0.924589\pi\) | |||||||
\(8\) | 2.18001 | + | 0.497572i | 0.770748 | + | 0.175918i | ||||
\(9\) | −0.582567 | + | 2.55239i | −0.194189 | + | 0.850798i | ||||
\(10\) | 1.86230 | + | 1.48513i | 0.588910 | + | 0.469640i | ||||
\(11\) | 1.34732 | − | 0.307516i | 0.406231 | − | 0.0927197i | −0.0145224 | − | 0.999895i | \(-0.504623\pi\) |
0.420754 | + | 0.907175i | \(0.361766\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | −0.0525301 | − | 0.230149i | −0.0145692 | − | 0.0638319i | 0.967121 | − | 0.254318i | \(-0.0818509\pi\) |
−0.981690 | + | 0.190486i | \(0.938994\pi\) | |||||||
\(14\) | 0.599613 | − | 1.24511i | 0.160253 | − | 0.332769i | ||||
\(15\) | −1.03350 | + | 2.14608i | −0.266848 | + | 0.554115i | ||||
\(16\) | −0.412577 | − | 1.80762i | −0.103144 | − | 0.451904i | ||||
\(17\) | 4.38197i | 1.06278i | 0.847126 | + | 0.531391i | \(0.178331\pi\) | ||||
−0.847126 | + | 0.531391i | \(0.821669\pi\) | |||||||
\(18\) | −1.57747 | + | 0.360046i | −0.371812 | + | 0.0848638i | ||||
\(19\) | 3.79509 | + | 3.02648i | 0.870653 | + | 0.694323i | 0.953225 | − | 0.302262i | \(-0.0977419\pi\) |
−0.0825715 | + | 0.996585i | \(0.526313\pi\) | |||||||
\(20\) | 1.38766 | − | 6.07972i | 0.310289 | − | 1.35947i | ||||
\(21\) | 1.34732 | + | 0.307516i | 0.294009 | + | 0.0671056i | ||||
\(22\) | 0.532524 | + | 0.667764i | 0.113534 | + | 0.142368i | ||||
\(23\) | 1.11366 | + | 0.536310i | 0.232214 | + | 0.111828i | 0.546373 | − | 0.837542i | \(-0.316008\pi\) |
−0.314159 | + | 0.949370i | \(0.601722\pi\) | |||||||
\(24\) | −1.24511 | + | 0.599613i | −0.254157 | + | 0.122395i | ||||
\(25\) | 6.14393 | − | 7.70425i | 1.22879 | − | 1.54085i | ||||
\(26\) | 0.114068 | − | 0.0909659i | 0.0223705 | − | 0.0178399i | ||||
\(27\) | −1.50650 | − | 3.12829i | −0.289927 | − | 0.602039i | ||||
\(28\) | −3.61803 | −0.683744 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −1.47214 | −0.268774 | ||||||||
\(31\) | −4.37796 | − | 9.09093i | −0.786305 | − | 1.63278i | −0.774273 | − | 0.632851i | \(-0.781884\pi\) |
−0.0120317 | − | 0.999928i | \(-0.503830\pi\) | |||||||
\(32\) | 4.39236 | − | 3.50279i | 0.776466 | − | 0.619211i | ||||
\(33\) | −0.532524 | + | 0.667764i | −0.0927005 | + | 0.116243i | ||||
\(34\) | −2.44001 | + | 1.17505i | −0.418458 | + | 0.201519i | ||||
\(35\) | −7.76458 | − | 3.73922i | −1.31245 | − | 0.632044i | ||||
\(36\) | 2.64115 | + | 3.31189i | 0.440191 | + | 0.551982i | ||||
\(37\) | −4.59016 | − | 1.04767i | −0.754618 | − | 0.172237i | −0.172128 | − | 0.985075i | \(-0.555064\pi\) |
−0.582490 | + | 0.812838i | \(0.697921\pi\) | |||||||
\(38\) | −0.667563 | + | 2.92478i | −0.108293 | + | 0.474463i | ||||
\(39\) | 0.114068 | + | 0.0909659i | 0.0182654 | + | 0.0145662i | ||||
\(40\) | 8.40196 | − | 1.91769i | 1.32847 | − | 0.303214i | ||||
\(41\) | 3.85410i | 0.601910i | 0.953638 | + | 0.300955i | \(0.0973053\pi\) | ||||
−0.953638 | + | 0.300955i | \(0.902695\pi\) | |||||||
\(42\) | 0.190056 | + | 0.832688i | 0.0293262 | + | 0.128487i | ||||
\(43\) | 3.13961 | − | 6.51947i | 0.478786 | − | 0.994210i | −0.512026 | − | 0.858970i | \(-0.671105\pi\) |
0.990813 | − | 0.135240i | \(-0.0431807\pi\) | |||||||
\(44\) | 0.970194 | − | 2.01463i | 0.146262 | − | 0.303717i | ||||
\(45\) | 2.24527 | + | 9.83719i | 0.334706 | + | 1.46644i | ||||
\(46\) | 0.763932i | 0.112636i | ||||||||
\(47\) | −6.82450 | + | 1.55765i | −0.995455 | + | 0.227206i | −0.689065 | − | 0.724700i | \(-0.741978\pi\) |
−0.306390 | + | 0.951906i | \(0.599121\pi\) | |||||||
\(48\) | 0.895899 | + | 0.714456i | 0.129312 | + | 0.103123i | ||||
\(49\) | 0.445042 | − | 1.94986i | 0.0635774 | − | 0.278551i | ||||
\(50\) | 5.93748 | + | 1.35519i | 0.839686 | + | 0.191653i | ||||
\(51\) | −1.68854 | − | 2.11736i | −0.236443 | − | 0.296490i | ||||
\(52\) | −0.344139 | − | 0.165729i | −0.0477236 | − | 0.0229825i | ||||
\(53\) | 1.80194 | − | 0.867767i | 0.247515 | − | 0.119197i | −0.306013 | − | 0.952027i | \(-0.598995\pi\) |
0.553529 | + | 0.832830i | \(0.313281\pi\) | |||||||
\(54\) | 1.33795 | − | 1.67773i | 0.182071 | − | 0.228310i | ||||
\(55\) | 4.16422 | − | 3.32086i | 0.561503 | − | 0.447784i | ||||
\(56\) | −2.16942 | − | 4.50484i | −0.289901 | − | 0.601985i | ||||
\(57\) | −3.00000 | −0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.09017 | 0.792873 | 0.396436 | − | 0.918062i | \(-0.370247\pi\) | ||||
0.396436 | + | 0.918062i | \(0.370247\pi\) | |||||||
\(60\) | 1.67223 | + | 3.47243i | 0.215884 | + | 0.448288i | ||||
\(61\) | −0.483198 | + | 0.385338i | −0.0618672 | + | 0.0493375i | −0.653935 | − | 0.756551i | \(-0.726883\pi\) |
0.592068 | + | 0.805888i | \(0.298312\pi\) | |||||||
\(62\) | 3.88812 | − | 4.87555i | 0.493792 | − | 0.619196i | ||||
\(63\) | 5.27436 | − | 2.54000i | 0.664507 | − | 0.320010i | ||||
\(64\) | −0.212690 | − | 0.102426i | −0.0265862 | − | 0.0128033i | ||||
\(65\) | −0.567270 | − | 0.711334i | −0.0703612 | − | 0.0882301i | ||||
\(66\) | −0.514629 | − | 0.117461i | −0.0633465 | − | 0.0144584i | ||||
\(67\) | −0.339982 | + | 1.48956i | −0.0415354 | + | 0.181978i | −0.991440 | − | 0.130561i | \(-0.958322\pi\) |
0.949905 | + | 0.312539i | \(0.101179\pi\) | |||||||
\(68\) | 5.54332 | + | 4.42065i | 0.672226 | + | 0.536082i | ||||
\(69\) | −0.744779 | + | 0.169991i | −0.0896608 | + | 0.0204645i | ||||
\(70\) | − | 5.32624i | − | 0.636607i | ||||||
\(71\) | 2.33027 | + | 10.2096i | 0.276552 | + | 1.21165i | 0.902120 | + | 0.431484i | \(0.142010\pi\) |
−0.625568 | + | 0.780169i | \(0.715133\pi\) | |||||||
\(72\) | −2.54000 | + | 5.27436i | −0.299342 | + | 0.621590i | ||||
\(73\) | −5.94777 | + | 12.3507i | −0.696133 | + | 1.44554i | 0.189847 | + | 0.981814i | \(0.439201\pi\) |
−0.885981 | + | 0.463722i | \(0.846514\pi\) | |||||||
\(74\) | −0.647498 | − | 2.83687i | −0.0752701 | − | 0.329780i | ||||
\(75\) | 6.09017i | 0.703232i | ||||||||
\(76\) | 7.65718 | − | 1.74770i | 0.878339 | − | 0.200475i | ||||
\(77\) | −2.41599 | − | 1.92669i | −0.275328 | − | 0.219567i | ||||
\(78\) | −0.0200647 | + | 0.0879092i | −0.00227188 | + | 0.00995376i | ||||
\(79\) | −5.93748 | − | 1.35519i | −0.668018 | − | 0.152471i | −0.124955 | − | 0.992162i | \(-0.539879\pi\) |
−0.543064 | + | 0.839692i | \(0.682736\pi\) | |||||||
\(80\) | −4.45539 | − | 5.58689i | −0.498128 | − | 0.624633i | ||||
\(81\) | −5.14291 | − | 2.47670i | −0.571435 | − | 0.275189i | ||||
\(82\) | −2.14608 | + | 1.03350i | −0.236995 | + | 0.114131i | ||||
\(83\) | −6.20015 | + | 7.77474i | −0.680555 | + | 0.853389i | −0.995405 | − | 0.0957523i | \(-0.969474\pi\) |
0.314850 | + | 0.949141i | \(0.398046\pi\) | |||||||
\(84\) | 1.74823 | − | 1.39417i | 0.190747 | − | 0.152116i | ||||
\(85\) | 7.32766 | + | 15.2161i | 0.794797 | + | 1.65041i | ||||
\(86\) | 4.47214 | 0.482243 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.09017 | 0.329413 | ||||||||
\(89\) | 2.04281 | + | 4.24195i | 0.216538 | + | 0.449645i | 0.980736 | − | 0.195336i | \(-0.0625796\pi\) |
−0.764199 | + | 0.644981i | \(0.776865\pi\) | |||||||
\(90\) | −4.87555 | + | 3.88812i | −0.513929 | + | 0.409844i | ||||
\(91\) | −0.329118 | + | 0.412701i | −0.0345009 | + | 0.0432628i | ||||
\(92\) | 1.80194 | − | 0.867767i | 0.187865 | − | 0.0904710i | ||||
\(93\) | 5.61850 | + | 2.70573i | 0.582612 | + | 0.280571i | ||||
\(94\) | −2.69737 | − | 3.38239i | −0.278212 | − | 0.348867i | ||||
\(95\) | 18.2392 | + | 4.16297i | 1.87130 | + | 0.427111i | ||||
\(96\) | −0.772623 | + | 3.38508i | −0.0788555 | + | 0.345489i | ||||
\(97\) | 2.78512 | + | 2.22106i | 0.282786 | + | 0.225515i | 0.754602 | − | 0.656183i | \(-0.227830\pi\) |
−0.471816 | + | 0.881697i | \(0.656401\pi\) | |||||||
\(98\) | 1.20508 | − | 0.275051i | 0.121731 | − | 0.0277843i | ||||
\(99\) | 3.61803i | 0.363626i | ||||||||
\(100\) | −3.54793 | − | 15.5445i | −0.354793 | − | 1.55445i | ||||
\(101\) | 0.268155 | − | 0.556829i | 0.0266824 | − | 0.0554066i | −0.887202 | − | 0.461382i | \(-0.847354\pi\) |
0.913884 | + | 0.405975i | \(0.133068\pi\) | |||||||
\(102\) | 0.726218 | − | 1.50801i | 0.0719063 | − | 0.149315i | ||||
\(103\) | −2.04282 | − | 8.95017i | −0.201285 | − | 0.881886i | −0.970156 | − | 0.242482i | \(-0.922038\pi\) |
0.768871 | − | 0.639404i | \(-0.220819\pi\) | |||||||
\(104\) | − | 0.527864i | − | 0.0517613i | ||||||
\(105\) | 5.19270 | − | 1.18520i | 0.506755 | − | 0.115664i | ||||
\(106\) | 0.966397 | + | 0.770676i | 0.0938648 | + | 0.0748546i | ||||
\(107\) | −1.50512 | + | 6.59435i | −0.145505 | + | 0.637500i | 0.848596 | + | 0.529042i | \(0.177448\pi\) |
−0.994101 | + | 0.108458i | \(0.965409\pi\) | |||||||
\(108\) | −5.47718 | − | 1.25013i | −0.527042 | − | 0.120294i | ||||
\(109\) | 8.96701 | + | 11.2443i | 0.858884 | + | 1.07701i | 0.996253 | + | 0.0864862i | \(0.0275638\pi\) |
−0.137369 | + | 0.990520i | \(0.543865\pi\) | |||||||
\(110\) | 2.96581 | + | 1.42826i | 0.282778 | + | 0.136179i | ||||
\(111\) | 2.62167 | − | 1.26253i | 0.248838 | − | 0.119834i | ||||
\(112\) | −2.58493 | + | 3.24139i | −0.244252 | + | 0.306283i | ||||
\(113\) | −6.21108 | + | 4.95317i | −0.584289 | + | 0.465955i | −0.870471 | − | 0.492220i | \(-0.836185\pi\) |
0.286181 | + | 0.958175i | \(0.407614\pi\) | |||||||
\(114\) | −0.804465 | − | 1.67049i | −0.0753450 | − | 0.156456i | ||||
\(115\) | 4.76393 | 0.444239 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.618034 | 0.0571373 | ||||||||
\(118\) | 1.63311 | + | 3.39119i | 0.150340 | + | 0.312184i | ||||
\(119\) | 7.66068 | − | 6.10919i | 0.702253 | − | 0.560028i | ||||
\(120\) | −3.32086 | + | 4.16422i | −0.303151 | + | 0.380140i | ||||
\(121\) | −8.18996 | + | 3.94408i | −0.744542 | + | 0.358552i | ||||
\(122\) | −0.344139 | − | 0.165729i | −0.0311569 | − | 0.0150044i | ||||
\(123\) | −1.48513 | − | 1.86230i | −0.133910 | − | 0.167918i | ||||
\(124\) | −15.9169 | − | 3.63293i | −1.42938 | − | 0.326247i | ||||
\(125\) | 4.16297 | − | 18.2392i | 0.372347 | − | 1.63136i | ||||
\(126\) | 2.82869 | + | 2.25581i | 0.252000 | + | 0.200963i | ||||
\(127\) | −15.5445 | + | 3.54793i | −1.37935 | + | 0.314828i | −0.846954 | − | 0.531666i | \(-0.821566\pi\) |
−0.532398 | + | 0.846494i | \(0.678709\pi\) | |||||||
\(128\) | − | 11.3820i | − | 1.00603i | ||||||
\(129\) | 0.995144 | + | 4.36001i | 0.0876175 | + | 0.383877i | ||||
\(130\) | 0.243975 | − | 0.506620i | 0.0213981 | − | 0.0444335i | ||||
\(131\) | 6.21592 | − | 12.9075i | 0.543088 | − | 1.12773i | −0.431165 | − | 0.902273i | \(-0.641897\pi\) |
0.974252 | − | 0.225460i | \(-0.0723884\pi\) | |||||||
\(132\) | 0.307516 | + | 1.34732i | 0.0267659 | + | 0.117269i | ||||
\(133\) | − | 10.8541i | − | 0.941170i | ||||||
\(134\) | −0.920597 | + | 0.210120i | −0.0795275 | + | 0.0181516i | ||||
\(135\) | −10.4624 | − | 8.34352i | −0.900464 | − | 0.718096i | ||||
\(136\) | −2.18034 | + | 9.55271i | −0.186963 | + | 0.819138i | ||||
\(137\) | 6.96674 | + | 1.59011i | 0.595208 | + | 0.135852i | 0.509504 | − | 0.860468i | \(-0.329829\pi\) |
0.0857042 | + | 0.996321i | \(0.472686\pi\) | |||||||
\(138\) | −0.294372 | − | 0.369131i | −0.0250586 | − | 0.0314225i | ||||
\(139\) | −1.16387 | − | 0.560489i | −0.0987180 | − | 0.0475401i | 0.383873 | − | 0.923386i | \(-0.374590\pi\) |
−0.482591 | + | 0.875846i | \(0.660304\pi\) | |||||||
\(140\) | −12.5634 | + | 6.05019i | −1.06180 | + | 0.511335i | ||||
\(141\) | 2.69737 | − | 3.38239i | 0.227159 | − | 0.284849i | ||||
\(142\) | −5.06012 | + | 4.03531i | −0.424636 | + | 0.338636i | ||||
\(143\) | −0.141549 | − | 0.293930i | −0.0118369 | − | 0.0245797i | ||||
\(144\) | 4.85410 | 0.404508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −8.47214 | −0.701159 | ||||||||
\(147\) | 0.536310 | + | 1.11366i | 0.0442341 | + | 0.0918530i | ||||
\(148\) | −5.95602 | + | 4.74977i | −0.489582 | + | 0.390428i | ||||
\(149\) | −5.99675 | + | 7.51968i | −0.491273 | + | 0.616036i | −0.964236 | − | 0.265046i | \(-0.914613\pi\) |
0.472963 | + | 0.881082i | \(0.343184\pi\) | |||||||
\(150\) | −3.39119 | + | 1.63311i | −0.276889 | + | 0.133343i | ||||
\(151\) | 2.40898 | + | 1.16010i | 0.196040 | + | 0.0944078i | 0.529328 | − | 0.848417i | \(-0.322444\pi\) |
−0.333288 | + | 0.942825i | \(0.608158\pi\) | |||||||
\(152\) | 6.76742 | + | 8.48608i | 0.548910 | + | 0.688312i | ||||
\(153\) | −11.1845 | − | 2.55279i | −0.904214 | − | 0.206381i | ||||
\(154\) | 0.424977 | − | 1.86195i | 0.0342456 | − | 0.150040i | ||||
\(155\) | −30.4043 | − | 24.2466i | −2.44213 | − | 1.94753i | ||||
\(156\) | 0.230149 | − | 0.0525301i | 0.0184267 | − | 0.00420577i | ||||
\(157\) | 14.5623i | 1.16220i | 0.813833 | + | 0.581099i | \(0.197377\pi\) | ||||
−0.813833 | + | 0.581099i | \(0.802623\pi\) | |||||||
\(158\) | −0.837554 | − | 3.66956i | −0.0666322 | − | 0.291935i | ||||
\(159\) | −0.536310 | + | 1.11366i | −0.0425321 | + | 0.0883189i | ||||
\(160\) | 9.39466 | − | 19.5082i | 0.742713 | − | 1.54226i | ||||
\(161\) | −0.615033 | − | 2.69463i | −0.0484714 | − | 0.212367i | ||||
\(162\) | − | 3.52786i | − | 0.277175i | ||||||
\(163\) | −5.88315 | + | 1.34279i | −0.460804 | + | 0.105175i | −0.446619 | − | 0.894724i | \(-0.647372\pi\) |
−0.0141841 | + | 0.999899i | \(0.504515\pi\) | |||||||
\(164\) | 4.87555 | + | 3.88812i | 0.380717 | + | 0.303612i | ||||
\(165\) | −0.732494 | + | 3.20926i | −0.0570245 | + | 0.249841i | ||||
\(166\) | −5.99181 | − | 1.36759i | −0.465054 | − | 0.106146i | ||||
\(167\) | −6.56402 | − | 8.23102i | −0.507939 | − | 0.636935i | 0.460061 | − | 0.887888i | \(-0.347828\pi\) |
−0.967999 | + | 0.250952i | \(0.919256\pi\) | |||||||
\(168\) | 2.78415 | + | 1.34077i | 0.214802 | + | 0.103443i | ||||
\(169\) | 11.6624 | − | 5.61631i | 0.897107 | − | 0.432024i | ||||
\(170\) | −6.50780 | + | 8.16052i | −0.499125 | + | 0.625883i | ||||
\(171\) | −9.93567 | + | 7.92344i | −0.759800 | + | 0.605920i | ||||
\(172\) | −5.08000 | − | 10.5487i | −0.387346 | − | 0.804333i | ||||
\(173\) | −4.09017 | −0.310970 | −0.155485 | − | 0.987838i | \(-0.549694\pi\) | ||||
−0.155485 | + | 0.987838i | \(0.549694\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.0344 | −1.66565 | ||||||||
\(176\) | −1.11174 | − | 2.30856i | −0.0838008 | − | 0.174014i | ||||
\(177\) | −2.94276 | + | 2.34677i | −0.221191 | + | 0.176394i | ||||
\(178\) | −1.81425 | + | 2.27500i | −0.135984 | + | 0.170518i | ||||
\(179\) | −14.4155 | + | 6.94214i | −1.07747 | + | 0.518880i | −0.886506 | − | 0.462718i | \(-0.846874\pi\) |
−0.190960 | + | 0.981598i | \(0.561160\pi\) | |||||||
\(180\) | 14.7094 | + | 7.08369i | 1.09638 | + | 0.527987i | ||||
\(181\) | 3.70619 | + | 4.64742i | 0.275479 | + | 0.345440i | 0.900254 | − | 0.435365i | \(-0.143381\pi\) |
−0.624775 | + | 0.780805i | \(0.714809\pi\) | |||||||
\(182\) | −0.318058 | − | 0.0725948i | −0.0235761 | − | 0.00538108i | ||||
\(183\) | 0.0849954 | − | 0.372389i | 0.00628304 | − | 0.0275278i | ||||
\(184\) | 2.16093 | + | 1.72328i | 0.159306 | + | 0.127042i | ||||
\(185\) | −17.6909 | + | 4.03784i | −1.30066 | + | 0.296868i | ||||
\(186\) | 3.85410i | 0.282596i | ||||||||
\(187\) | 1.34753 | + | 5.90390i | 0.0985409 | + | 0.431736i | ||||
\(188\) | −4.91427 | + | 10.2046i | −0.358410 | + | 0.744246i | ||||
\(189\) | −3.36864 | + | 6.99506i | −0.245033 | + | 0.508816i | ||||
\(190\) | 2.57286 | + | 11.2724i | 0.186655 | + | 0.817787i | ||||
\(191\) | − | 17.0344i | − | 1.23257i | −0.787524 | − | 0.616284i | \(-0.788637\pi\) | ||
0.787524 | − | 0.616284i | \(-0.211363\pi\) | |||||||
\(192\) | 0.142240 | − | 0.0324654i | 0.0102653 | − | 0.00234299i | ||||
\(193\) | −9.75111 | − | 7.77625i | −0.701900 | − | 0.559747i | 0.206195 | − | 0.978511i | \(-0.433892\pi\) |
−0.908095 | + | 0.418764i | \(0.862463\pi\) | |||||||
\(194\) | −0.489908 | + | 2.14643i | −0.0351733 | + | 0.154104i | ||||
\(195\) | 0.548208 | + | 0.125125i | 0.0392580 | + | 0.00896038i | ||||
\(196\) | −2.01766 | − | 2.53006i | −0.144118 | − | 0.180719i | ||||
\(197\) | 5.66871 | + | 2.72991i | 0.403879 | + | 0.194498i | 0.624784 | − | 0.780797i | \(-0.285187\pi\) |
−0.220905 | + | 0.975295i | \(0.570901\pi\) | |||||||
\(198\) | −2.01463 | + | 0.970194i | −0.143173 | + | 0.0689487i | ||||
\(199\) | −3.64997 | + | 4.57692i | −0.258740 | + | 0.324449i | −0.894186 | − | 0.447696i | \(-0.852245\pi\) |
0.635446 | + | 0.772145i | \(0.280816\pi\) | |||||||
\(200\) | 17.2272 | − | 13.7382i | 1.21815 | − | 0.971441i | ||||
\(201\) | −0.409704 | − | 0.850760i | −0.0288983 | − | 0.0600080i | ||||
\(202\) | 0.381966 | 0.0268750 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.38197 | −0.306799 | ||||||||
\(205\) | 6.44495 | + | 13.3831i | 0.450135 | + | 0.934715i | ||||
\(206\) | 4.43593 | − | 3.53753i | 0.309066 | − | 0.246472i | ||||
\(207\) | −2.01766 | + | 2.53006i | −0.140237 | + | 0.175851i | ||||
\(208\) | −0.394349 | + | 0.189908i | −0.0273432 | + | 0.0131678i | ||||
\(209\) | 6.04388 | + | 2.91058i | 0.418064 | + | 0.201329i | ||||
\(210\) | 2.05240 | + | 2.57363i | 0.141629 | + | 0.177597i | ||||
\(211\) | 11.3603 | + | 2.59292i | 0.782077 | + | 0.178504i | 0.594876 | − | 0.803818i | \(-0.297201\pi\) |
0.187201 | + | 0.982322i | \(0.440058\pi\) | |||||||
\(212\) | 0.720093 | − | 3.15493i | 0.0494562 | − | 0.216682i | ||||
\(213\) | −5.06012 | − | 4.03531i | −0.346714 | − | 0.276495i | ||||
\(214\) | −4.07553 | + | 0.930213i | −0.278597 | + | 0.0635881i | ||||
\(215\) | − | 27.8885i | − | 1.90198i | ||||||
\(216\) | −1.72764 | − | 7.56927i | −0.117551 | − | 0.515024i | ||||
\(217\) | −9.78942 | + | 20.3279i | −0.664549 | + | 1.37995i | ||||
\(218\) | −3.85659 | + | 8.00830i | −0.261202 | + | 0.542391i | ||||
\(219\) | −1.88523 | − | 8.25972i | −0.127392 | − | 0.558140i | ||||
\(220\) | − | 8.61803i | − | 0.581028i | ||||||
\(221\) | 1.00851 | − | 0.230185i | 0.0678395 | − | 0.0154839i | ||||
\(222\) | 1.40603 | + | 1.12127i | 0.0943662 | + | 0.0752546i | ||||
\(223\) | −0.594968 | + | 2.60673i | −0.0398420 | + | 0.174559i | −0.990934 | − | 0.134348i | \(-0.957106\pi\) |
0.951092 | + | 0.308907i | \(0.0999632\pi\) | |||||||
\(224\) | −12.2473 | − | 2.79538i | −0.818310 | − | 0.186774i | ||||
\(225\) | 16.0850 | + | 20.1700i | 1.07233 | + | 1.34467i | ||||
\(226\) | −4.42360 | − | 2.13030i | −0.294254 | − | 0.141705i | ||||
\(227\) | 18.8199 | − | 9.06320i | 1.24912 | − | 0.601546i | 0.311846 | − | 0.950133i | \(-0.399053\pi\) |
0.937276 | + | 0.348587i | \(0.113338\pi\) | |||||||
\(228\) | −3.02648 | + | 3.79509i | −0.200434 | + | 0.251336i | ||||
\(229\) | −1.79180 | + | 1.42891i | −0.118405 | + | 0.0944251i | −0.680902 | − | 0.732374i | \(-0.738412\pi\) |
0.562497 | + | 0.826799i | \(0.309841\pi\) | |||||||
\(230\) | 1.27747 | + | 2.65270i | 0.0842340 | + | 0.174914i | ||||
\(231\) | 1.90983 | 0.125658 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.2361 | 0.998148 | 0.499074 | − | 0.866559i | \(-0.333674\pi\) | ||||
0.499074 | + | 0.866559i | \(0.333674\pi\) | |||||||
\(234\) | 0.165729 | + | 0.344139i | 0.0108340 | + | 0.0224971i | ||||
\(235\) | −21.0928 | + | 16.8210i | −1.37594 | + | 1.09728i | ||||
\(236\) | 6.14393 | − | 7.70425i | 0.399936 | − | 0.501504i | ||||
\(237\) | 3.39119 | − | 1.63311i | 0.220281 | − | 0.106082i | ||||
\(238\) | 5.45602 | + | 2.62748i | 0.353661 | + | 0.170314i | ||||
\(239\) | −17.2973 | − | 21.6901i | −1.11887 | − | 1.40301i | −0.904612 | − | 0.426236i | \(-0.859839\pi\) |
−0.214255 | − | 0.976778i | \(-0.568732\pi\) | |||||||
\(240\) | 4.30568 | + | 0.982743i | 0.277930 | + | 0.0634358i | ||||
\(241\) | −1.03527 | + | 4.53583i | −0.0666878 | + | 0.292178i | −0.997264 | − | 0.0739193i | \(-0.976449\pi\) |
0.930576 | + | 0.366098i | \(0.119306\pi\) | |||||||
\(242\) | −4.39236 | − | 3.50279i | −0.282351 | − | 0.225168i | ||||
\(243\) | 13.5947 | − | 3.10289i | 0.872098 | − | 0.199051i | ||||
\(244\) | 1.00000i | 0.0640184i | ||||||||
\(245\) | −1.71524 | − | 7.51494i | −0.109582 | − | 0.480112i | ||||
\(246\) | 0.638736 | − | 1.32635i | 0.0407243 | − | 0.0845649i | ||||
\(247\) | 0.497187 | − | 1.03242i | 0.0316352 | − | 0.0656912i | ||||
\(248\) | −5.02059 | − | 21.9966i | −0.318807 | − | 1.39679i | ||||
\(249\) | − | 6.14590i | − | 0.389480i | ||||||
\(250\) | 11.2724 | − | 2.57286i | 0.712930 | − | 0.162722i | ||||
\(251\) | 15.3649 | + | 12.2531i | 0.969825 | + | 0.773410i | 0.973992 | − | 0.226581i | \(-0.0727549\pi\) |
−0.00416682 | + | 0.999991i | \(0.501326\pi\) | |||||||
\(252\) | 2.10775 | − | 9.23465i | 0.132776 | − | 0.581728i | ||||
\(253\) | 1.66538 | + | 0.380111i | 0.104701 | + | 0.0238974i | ||||
\(254\) | −6.14393 | − | 7.70425i | −0.385505 | − | 0.483407i | ||||
\(255\) | −9.40404 | − | 4.52875i | −0.588904 | − | 0.283601i | ||||
\(256\) | 5.91243 | − | 2.84728i | 0.369527 | − | 0.177955i | ||||
\(257\) | −14.4527 | + | 18.1231i | −0.901535 | + | 1.13049i | 0.0893797 | + | 0.995998i | \(0.471512\pi\) |
−0.990915 | + | 0.134492i | \(0.957060\pi\) | |||||||
\(258\) | −2.16093 | + | 1.72328i | −0.134534 | + | 0.107287i | ||||
\(259\) | 4.56787 | + | 9.48528i | 0.283834 | + | 0.589386i | ||||
\(260\) | −1.47214 | −0.0912980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.85410 | 0.547008 | ||||||||
\(263\) | −7.24942 | − | 15.0536i | −0.447018 | − | 0.928243i | −0.995737 | − | 0.0922361i | \(-0.970599\pi\) |
0.548719 | − | 0.836007i | \(-0.315116\pi\) | |||||||
\(264\) | −1.49317 | + | 1.19076i | −0.0918980 | + | 0.0732862i | ||||
\(265\) | 4.80599 | − | 6.02652i | 0.295229 | − | 0.370206i | ||||
\(266\) | 6.04388 | − | 2.91058i | 0.370574 | − | 0.178459i | ||||
\(267\) | −2.62167 | − | 1.26253i | −0.160443 | − | 0.0772655i | ||||
\(268\) | 1.54135 | + | 1.93279i | 0.0941530 | + | 0.118064i | ||||
\(269\) | 5.84957 | + | 1.33513i | 0.356654 | + | 0.0814040i | 0.397094 | − | 0.917778i | \(-0.370019\pi\) |
−0.0404396 | + | 0.999182i | \(0.512876\pi\) | |||||||
\(270\) | 1.84036 | − | 8.06315i | 0.112001 | − | 0.490708i | ||||
\(271\) | 7.95931 | + | 6.34734i | 0.483494 | + | 0.385573i | 0.834683 | − | 0.550731i | \(-0.185651\pi\) |
−0.351189 | + | 0.936305i | \(0.614223\pi\) | |||||||
\(272\) | 7.92091 | − | 1.80790i | 0.480276 | − | 0.109620i | ||||
\(273\) | − | 0.326238i | − | 0.0197448i | ||||||
\(274\) | 0.982743 | + | 4.30568i | 0.0593697 | + | 0.260116i | ||||
\(275\) | 5.90864 | − | 12.2694i | 0.356305 | − | 0.739874i | ||||
\(276\) | −0.536310 | + | 1.11366i | −0.0322821 | + | 0.0670344i | ||||
\(277\) | 4.75794 | + | 20.8459i | 0.285877 | + | 1.25251i | 0.890127 | + | 0.455713i | \(0.150616\pi\) |
−0.604250 | + | 0.796795i | \(0.706527\pi\) | |||||||
\(278\) | − | 0.798374i | − | 0.0478833i | ||||||
\(279\) | 25.7541 | − | 5.87820i | 1.54186 | − | 0.351919i | ||||
\(280\) | −15.0663 | − | 12.0150i | −0.900383 | − | 0.718032i | ||||
\(281\) | −5.14571 | + | 22.5448i | −0.306967 | + | 1.34491i | 0.552411 | + | 0.833572i | \(0.313708\pi\) |
−0.859379 | + | 0.511340i | \(0.829149\pi\) | |||||||
\(282\) | 2.60673 | + | 0.594968i | 0.155228 | + | 0.0354298i | ||||
\(283\) | 3.26463 | + | 4.09372i | 0.194062 | + | 0.243347i | 0.869337 | − | 0.494220i | \(-0.164546\pi\) |
−0.675274 | + | 0.737567i | \(0.735975\pi\) | |||||||
\(284\) | 15.2663 | + | 7.35184i | 0.905886 | + | 0.436252i | ||||
\(285\) | −10.4173 | + | 5.01670i | −0.617066 | + | 0.297163i | ||||
\(286\) | 0.125712 | − | 0.157638i | 0.00743350 | − | 0.00932131i | ||||
\(287\) | 6.73785 | − | 5.37326i | 0.397723 | − | 0.317173i | ||||
\(288\) | 6.38165 | + | 13.2516i | 0.376042 | + | 0.780860i | ||||
\(289\) | −2.20163 | −0.129507 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.20163 | −0.129062 | ||||||||
\(292\) | 9.62369 | + | 19.9838i | 0.563184 | + | 1.16946i | ||||
\(293\) | 6.66735 | − | 5.31704i | 0.389511 | − | 0.310625i | −0.409080 | − | 0.912498i | \(-0.634150\pi\) |
0.798591 | + | 0.601874i | \(0.205579\pi\) | |||||||
\(294\) | −0.476304 | + | 0.597266i | −0.0277786 | + | 0.0348333i | ||||
\(295\) | 21.1477 | − | 10.1842i | 1.23126 | − | 0.592946i | ||||
\(296\) | −9.48528 | − | 4.56787i | −0.551321 | − | 0.265502i | ||||
\(297\) | −2.99174 | − | 3.75152i | −0.173598 | − | 0.217685i | ||||
\(298\) | −5.79524 | − | 1.32272i | −0.335709 | − | 0.0766234i | ||||
\(299\) | 0.0649307 | − | 0.284480i | 0.00375504 | − | 0.0164519i | ||||
\(300\) | 7.70425 | + | 6.14393i | 0.444805 | + | 0.354720i | ||||
\(301\) | −15.7747 | + | 3.60046i | −0.909237 | + | 0.207527i | ||||
\(302\) | 1.65248i | 0.0950893i | ||||||||
\(303\) | 0.0849954 | + | 0.372389i | 0.00488286 | + | 0.0213932i | ||||
\(304\) | 3.90495 | − | 8.10872i | 0.223964 | − | 0.465067i | ||||
\(305\) | −1.03350 | + | 2.14608i | −0.0591778 | + | 0.122884i | ||||
\(306\) | −1.57771 | − | 6.91240i | −0.0901917 | − | 0.395156i | ||||
\(307\) | 19.1803i | 1.09468i | 0.836910 | + | 0.547340i | \(0.184360\pi\) | ||||
−0.836910 | + | 0.547340i | \(0.815640\pi\) | |||||||
\(308\) | −4.87464 | + | 1.11260i | −0.277758 | + | 0.0633965i | ||||
\(309\) | 4.43593 | + | 3.53753i | 0.252351 | + | 0.201243i | ||||
\(310\) | 5.34817 | − | 23.4318i | 0.303755 | − | 1.33084i | ||||
\(311\) | 2.03777 | + | 0.465107i | 0.115551 | + | 0.0263738i | 0.279905 | − | 0.960028i | \(-0.409697\pi\) |
−0.164354 | + | 0.986401i | \(0.552554\pi\) | |||||||
\(312\) | 0.203406 | + | 0.255063i | 0.0115156 | + | 0.0144401i | ||||
\(313\) | 11.6314 | + | 5.60137i | 0.657443 | + | 0.316608i | 0.732695 | − | 0.680557i | \(-0.238262\pi\) |
−0.0752524 | + | 0.997165i | \(0.523976\pi\) | |||||||
\(314\) | −8.10872 | + | 3.90495i | −0.457602 | + | 0.220369i | ||||
\(315\) | 14.0674 | − | 17.6399i | 0.792606 | − | 0.993897i | ||||
\(316\) | −7.70425 | + | 6.14393i | −0.433398 | + | 0.345623i | ||||
\(317\) | −12.0221 | − | 24.9642i | −0.675231 | − | 1.40213i | −0.903524 | − | 0.428538i | \(-0.859029\pi\) |
0.228293 | − | 0.973592i | \(-0.426686\pi\) | |||||||
\(318\) | −0.763932 | −0.0428392 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.909830 | −0.0508610 | ||||||||
\(321\) | −1.81378 | − | 3.76636i | −0.101235 | − | 0.210217i | ||||
\(322\) | 1.33553 | − | 1.06505i | 0.0744260 | − | 0.0593528i | ||||
\(323\) | −13.2619 | + | 16.6300i | −0.737914 | + | 0.925315i | ||||
\(324\) | −8.32141 | + | 4.00738i | −0.462301 | + | 0.222632i | ||||
\(325\) | −2.09587 | − | 1.00932i | −0.116258 | − | 0.0559868i | ||||
\(326\) | −2.32530 | − | 2.91583i | −0.128786 | − | 0.161493i | ||||
\(327\) | −8.66569 | − | 1.97789i | −0.479214 | − | 0.109377i | ||||
\(328\) | −1.91769 | + | 8.40196i | −0.105887 | + | 0.463921i | ||||
\(329\) | 12.2376 | + | 9.75916i | 0.674681 | + | 0.538040i | ||||
\(330\) | −1.98343 | + | 0.452706i | −0.109184 | + | 0.0249206i | ||||
\(331\) | 21.1803i | 1.16418i | 0.813126 | + | 0.582088i | \(0.197764\pi\) | ||||
−0.813126 | + | 0.582088i | \(0.802236\pi\) | |||||||
\(332\) | 3.58040 | + | 15.6868i | 0.196500 | + | 0.860923i | ||||
\(333\) | 5.34815 | − | 11.1056i | 0.293077 | − | 0.608581i | ||||
\(334\) | 2.82310 | − | 5.86222i | 0.154473 | − | 0.320767i | ||||
\(335\) | 1.31032 | + | 5.74091i | 0.0715907 | + | 0.313659i | ||||
\(336\) | − | 2.56231i | − | 0.139785i | ||||||
\(337\) | −33.2147 | + | 7.58104i | −1.80932 | + | 0.412966i | −0.987609 | − | 0.156938i | \(-0.949838\pi\) |
−0.821712 | + | 0.569903i | \(0.806981\pi\) | |||||||
\(338\) | 6.25465 | + | 4.98792i | 0.340208 | + | 0.271307i | ||||
\(339\) | 1.09254 | − | 4.78673i | 0.0593386 | − | 0.259980i | ||||
\(340\) | 26.6411 | + | 6.08066i | 1.44482 | + | 0.329770i | ||||
\(341\) | −8.69411 | − | 10.9021i | −0.470813 | − | 0.590380i | ||||
\(342\) | −7.07630 | − | 3.40777i | −0.382643 | − | 0.184271i | ||||
\(343\) | −18.1316 | + | 8.73174i | −0.979017 | + | 0.471470i | ||||
\(344\) | 10.0883 | − | 12.6503i | 0.543923 | − | 0.682058i | ||||
\(345\) | −2.30192 | + | 1.83572i | −0.123931 | + | 0.0988320i | ||||
\(346\) | −1.09680 | − | 2.27753i | −0.0589643 | − | 0.122441i | ||||
\(347\) | 32.1246 | 1.72454 | 0.862270 | − | 0.506449i | \(-0.169042\pi\) | ||||
0.862270 | + | 0.506449i | \(0.169042\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.52786 | 0.242371 | 0.121186 | − | 0.992630i | \(-0.461330\pi\) | ||||
0.121186 | + | 0.992630i | \(0.461330\pi\) | |||||||
\(350\) | −5.90864 | − | 12.2694i | −0.315830 | − | 0.655828i | ||||
\(351\) | −0.640836 | + | 0.511050i | −0.0342053 | + | 0.0272778i | ||||
\(352\) | 4.84073 | − | 6.07009i | 0.258012 | − | 0.323537i | ||||
\(353\) | −17.2307 | + | 8.29786i | −0.917097 | + | 0.441650i | −0.832034 | − | 0.554725i | \(-0.812823\pi\) |
−0.0850629 | + | 0.996376i | \(0.527109\pi\) | |||||||
\(354\) | −2.09587 | − | 1.00932i | −0.111394 | − | 0.0536446i | ||||
\(355\) | 25.1645 | + | 31.5553i | 1.33559 | + | 1.67478i | ||||
\(356\) | 7.42703 | + | 1.69517i | 0.393632 | + | 0.0898439i | ||||
\(357\) | −1.34753 | + | 5.90390i | −0.0713187 | + | 0.312467i | ||||
\(358\) | −7.73117 | − | 6.16541i | −0.408605 | − | 0.325852i | ||||
\(359\) | 23.1681 | − | 5.28797i | 1.22277 | − | 0.279089i | 0.438054 | − | 0.898949i | \(-0.355668\pi\) |
0.784712 | + | 0.619860i | \(0.212811\pi\) | |||||||
\(360\) | 22.5623i | 1.18914i | ||||||||
\(361\) | 1.01521 | + | 4.44792i | 0.0534320 | + | 0.234101i | ||||
\(362\) | −1.59399 | + | 3.30995i | −0.0837780 | + | 0.173967i | ||||
\(363\) | 2.43757 | − | 5.06167i | 0.127939 | − | 0.265669i | ||||
\(364\) | 0.190056 | + | 0.832688i | 0.00996162 | + | 0.0436447i | ||||
\(365\) | 52.8328i | 2.76540i | ||||||||
\(366\) | 0.230149 | − | 0.0525301i | 0.0120301 | − | 0.00274579i | ||||
\(367\) | −21.3209 | − | 17.0029i | −1.11294 | − | 0.887543i | −0.118515 | − | 0.992952i | \(-0.537813\pi\) |
−0.994429 | + | 0.105409i | \(0.966385\pi\) | |||||||
\(368\) | 0.509973 | − | 2.23434i | 0.0265842 | − | 0.116473i | ||||
\(369\) | −9.83719 | − | 2.24527i | −0.512104 | − | 0.116884i | ||||
\(370\) | −6.99230 | − | 8.76807i | −0.363512 | − | 0.455830i | ||||
\(371\) | −4.02926 | − | 1.94039i | −0.209189 | − | 0.100740i | ||||
\(372\) | 9.09093 | − | 4.37796i | 0.471343 | − | 0.226987i | ||||
\(373\) | 12.8551 | − | 16.1198i | 0.665614 | − | 0.834653i | −0.328328 | − | 0.944564i | \(-0.606485\pi\) |
0.993941 | + | 0.109911i | \(0.0350565\pi\) | |||||||
\(374\) | −2.92612 | + | 2.33350i | −0.151306 | + | 0.120662i | ||||
\(375\) | 5.01670 | + | 10.4173i | 0.259061 | + | 0.537946i | ||||
\(376\) | −15.6525 | −0.807215 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −4.79837 | −0.246802 | ||||||||
\(379\) | −10.5398 | − | 21.8862i | −0.541394 | − | 1.12422i | −0.974813 | − | 0.223024i | \(-0.928407\pi\) |
0.433419 | − | 0.901192i | \(-0.357307\pi\) | |||||||
\(380\) | 23.6664 | − | 18.8734i | 1.21406 | − | 0.968183i | ||||
\(381\) | 6.14393 | − | 7.70425i | 0.314763 | − | 0.394701i | ||||
\(382\) | 9.48528 | − | 4.56787i | 0.485309 | − | 0.233713i | ||||
\(383\) | −25.9966 | − | 12.5193i | −1.32837 | − | 0.639708i | −0.371013 | − | 0.928628i | \(-0.620990\pi\) |
−0.957353 | + | 0.288920i | \(0.906704\pi\) | |||||||
\(384\) | 4.38590 | + | 5.49975i | 0.223817 | + | 0.280658i | ||||
\(385\) | −11.6112 | − | 2.65019i | −0.591763 | − | 0.135066i | ||||
\(386\) | 1.71524 | − | 7.51494i | 0.0873033 | − | 0.382501i | ||||
\(387\) | 14.8112 | + | 11.8116i | 0.752897 | + | 0.600415i | ||||
\(388\) | 5.61942 | − | 1.28260i | 0.285283 | − | 0.0651139i | ||||
\(389\) | − | 19.1246i | − | 0.969656i | −0.874609 | − | 0.484828i | \(-0.838882\pi\) | ||
0.874609 | − | 0.484828i | \(-0.161118\pi\) | |||||||
\(390\) | 0.0773314 | + | 0.338811i | 0.00391583 | + | 0.0171564i | ||||
\(391\) | −2.35009 | + | 4.88001i | −0.118849 | + | 0.246793i | ||||
\(392\) | 1.94039 | − | 4.02926i | 0.0980043 | − | 0.203508i | ||||
\(393\) | 1.97022 | + | 8.63211i | 0.0993846 | + | 0.435432i | ||||
\(394\) | 3.88854i | 0.195902i | ||||||||
\(395\) | −22.8836 | + | 5.22304i | −1.15140 | + | 0.262800i | ||||
\(396\) | 4.57692 | + | 3.64997i | 0.229999 | + | 0.183418i | ||||
\(397\) | 3.12769 | − | 13.7033i | 0.156974 | − | 0.687750i | −0.833782 | − | 0.552094i | \(-0.813829\pi\) |
0.990756 | − | 0.135656i | \(-0.0433141\pi\) | |||||||
\(398\) | −3.52732 | − | 0.805088i | −0.176809 | − | 0.0403554i | ||||
\(399\) | 4.18250 | + | 5.24469i | 0.209387 | + | 0.262563i | ||||
\(400\) | −16.4612 | − | 7.92728i | −0.823058 | − | 0.396364i | ||||
\(401\) | −22.5863 | + | 10.8770i | −1.12791 | + | 0.543171i | −0.902326 | − | 0.431054i | \(-0.858142\pi\) |
−0.225579 | + | 0.974225i | \(0.572427\pi\) | |||||||
\(402\) | 0.363864 | − | 0.456271i | 0.0181479 | − | 0.0227567i | ||||
\(403\) | −1.86230 | + | 1.48513i | −0.0927676 | + | 0.0739797i | ||||
\(404\) | −0.433884 | − | 0.900969i | −0.0215865 | − | 0.0448249i | ||||
\(405\) | −22.0000 | −1.09319 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.50658 | −0.322519 | ||||||||
\(408\) | −2.62748 | − | 5.45602i | −0.130080 | − | 0.270113i | ||||
\(409\) | 21.4350 | − | 17.0939i | 1.05989 | − | 0.845237i | 0.0715435 | − | 0.997437i | \(-0.477208\pi\) |
0.988350 | + | 0.152201i | \(0.0486361\pi\) | |||||||
\(410\) | −5.72385 | + | 7.17748i | −0.282681 | + | 0.354470i | ||||
\(411\) | −3.97905 | + | 1.91621i | −0.196272 | + | 0.0945195i | ||||
\(412\) | −13.3831 | − | 6.44495i | −0.659337 | − | 0.317520i | ||||
\(413\) | −8.49071 | − | 10.6470i | −0.417800 | − | 0.523905i | ||||
\(414\) | −1.94986 | − | 0.445042i | −0.0958302 | − | 0.0218726i | ||||
\(415\) | −8.52839 | + | 37.3653i | −0.418642 | + | 1.83419i | ||||
\(416\) | −1.03689 | − | 0.826896i | −0.0508379 | − | 0.0405419i | ||||
\(417\) | 0.778357 | − | 0.177655i | 0.0381163 | − | 0.00869980i | ||||
\(418\) | 4.14590i | 0.202783i | ||||||||
\(419\) | −3.90798 | − | 17.1220i | −0.190917 | − | 0.836464i | −0.976121 | − | 0.217226i | \(-0.930299\pi\) |
0.785204 | − | 0.619237i | \(-0.212558\pi\) | |||||||
\(420\) | 3.73922 | − | 7.76458i | 0.182455 | − | 0.378873i | ||||
\(421\) | −13.4653 | + | 27.9611i | −0.656261 | + | 1.36274i | 0.261345 | + | 0.965246i | \(0.415834\pi\) |
−0.917605 | + | 0.397493i | \(0.869880\pi\) | |||||||
\(422\) | 1.60251 | + | 7.02107i | 0.0780091 | + | 0.341780i | ||||
\(423\) | − | 18.3262i | − | 0.891052i | ||||||
\(424\) | 4.36001 | − | 0.995144i | 0.211741 | − | 0.0483285i | ||||
\(425\) | 33.7597 | + | 26.9225i | 1.63759 | + | 1.30593i | ||||
\(426\) | 0.890084 | − | 3.89971i | 0.0431247 | − | 0.188942i | ||||
\(427\) | 1.34732 | + | 0.307516i | 0.0652013 | + | 0.0148818i | ||||
\(428\) | 6.82364 | + | 8.55658i | 0.329833 | + | 0.413598i | ||||
\(429\) | 0.181659 | + | 0.0874823i | 0.00877057 | + | 0.00422369i | ||||
\(430\) | 15.5292 | − | 7.47845i | 0.748883 | − | 0.360643i | ||||
\(431\) | 9.10092 | − | 11.4122i | 0.438376 | − | 0.549706i | −0.512738 | − | 0.858545i | \(-0.671369\pi\) |
0.951114 | + | 0.308839i | \(0.0999403\pi\) | |||||||
\(432\) | −5.03319 | + | 4.01384i | −0.242160 | + | 0.193116i | ||||
\(433\) | −4.50457 | − | 9.35383i | −0.216476 | − | 0.449516i | 0.764246 | − | 0.644924i | \(-0.223111\pi\) |
−0.980722 | + | 0.195408i | \(0.937397\pi\) | |||||||
\(434\) | −13.9443 | −0.669346 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 23.2705 | 1.11446 | ||||||||
\(437\) | 2.60330 | + | 5.40581i | 0.124533 | + | 0.258595i | ||||
\(438\) | 4.09372 | − | 3.26463i | 0.195606 | − | 0.155990i | ||||
\(439\) | 13.0585 | − | 16.3749i | 0.623250 | − | 0.781531i | −0.365548 | − | 0.930793i | \(-0.619118\pi\) |
0.988798 | + | 0.149262i | \(0.0476897\pi\) | |||||||
\(440\) | 10.7304 | − | 5.16748i | 0.511551 | − | 0.246350i | ||||
\(441\) | 4.71753 | + | 2.27184i | 0.224644 | + | 0.108183i | ||||
\(442\) | 0.398610 | + | 0.499841i | 0.0189599 | + | 0.0237750i | ||||
\(443\) | 1.86195 | + | 0.424977i | 0.0884638 | + | 0.0201913i | 0.266524 | − | 0.963828i | \(-0.414125\pi\) |
−0.178060 | + | 0.984020i | \(0.556982\pi\) | |||||||
\(444\) | 1.04767 | − | 4.59016i | 0.0497204 | − | 0.217839i | ||||
\(445\) | 14.1870 | + | 11.3138i | 0.672530 | + | 0.536325i | ||||
\(446\) | −1.61104 | + | 0.367710i | −0.0762852 | + | 0.0174116i | ||||
\(447\) | − | 5.94427i | − | 0.281154i | ||||||
\(448\) | 0.117461 | + | 0.514629i | 0.00554950 | + | 0.0243140i | ||||
\(449\) | 11.3350 | − | 23.5375i | 0.534934 | − | 1.11080i | −0.441952 | − | 0.897039i | \(-0.645714\pi\) |
0.976886 | − | 0.213763i | \(-0.0685719\pi\) | |||||||
\(450\) | −6.91796 | + | 14.3653i | −0.326116 | + | 0.677186i | ||||
\(451\) | 1.18520 | + | 5.19270i | 0.0558089 | + | 0.244515i | ||||
\(452\) | 12.8541i | 0.604606i | ||||||||
\(453\) | −1.61104 | + | 0.367710i | −0.0756935 | + | 0.0172765i | ||||
\(454\) | 10.0933 | + | 8.04915i | 0.473703 | + | 0.377765i | ||||
\(455\) | −0.452706 | + | 1.98343i | −0.0212232 | + | 0.0929848i | ||||
\(456\) | −6.54002 | − | 1.49272i | −0.306264 | − | 0.0699028i | ||||
\(457\) | −11.6644 | − | 14.6267i | −0.545636 | − | 0.684206i | 0.430194 | − | 0.902737i | \(-0.358445\pi\) |
−0.975830 | + | 0.218530i | \(0.929874\pi\) | |||||||
\(458\) | −1.27614 | − | 0.614556i | −0.0596301 | − | 0.0287163i | ||||
\(459\) | 13.7080 | − | 6.60145i | 0.639837 | − | 0.308129i | ||||
\(460\) | 4.80599 | − | 6.02652i | 0.224080 | − | 0.280988i | ||||
\(461\) | 30.4748 | − | 24.3028i | 1.41935 | − | 1.13190i | 0.448061 | − | 0.894003i | \(-0.352115\pi\) |
0.971291 | − | 0.237893i | \(-0.0764566\pi\) | |||||||
\(462\) | 0.512130 | + | 1.06345i | 0.0238265 | + | 0.0494761i | ||||
\(463\) | −10.7082 | −0.497652 | −0.248826 | − | 0.968548i | \(-0.580045\pi\) | ||||
−0.248826 | + | 0.968548i | \(0.580045\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 24.0344 | 1.11457 | ||||||||
\(466\) | 4.08563 | + | 8.48389i | 0.189263 | + | 0.393009i | ||||
\(467\) | −14.0294 | + | 11.1881i | −0.649203 | + | 0.517722i | −0.891814 | − | 0.452401i | \(-0.850567\pi\) |
0.242611 | + | 0.970124i | \(0.421996\pi\) | |||||||
\(468\) | 0.623490 | − | 0.781831i | 0.0288208 | − | 0.0361402i | ||||
\(469\) | 3.07808 | − | 1.48232i | 0.142132 | − | 0.0684474i | ||||
\(470\) | −15.0225 | − | 7.23447i | −0.692938 | − | 0.333701i | ||||
\(471\) | −5.61141 | − | 7.03648i | −0.258560 | − | 0.324224i | ||||
\(472\) | 13.2766 | + | 3.03030i | 0.611105 | + | 0.139481i | ||||
\(473\) | 2.22521 | − | 9.74928i | 0.102315 | − | 0.448272i | ||||
\(474\) | 1.81873 | + | 1.45039i | 0.0835369 | + | 0.0666184i | ||||
\(475\) | 46.6335 | − | 10.6438i | 2.13969 | − | 0.488371i | ||||
\(476\) | − | 15.8541i | − | 0.726672i | ||||||
\(477\) | 1.16513 | + | 5.10479i | 0.0533479 | + | 0.233732i | ||||
\(478\) | 7.43933 | − | 15.4479i | 0.340267 | − | 0.706571i | ||||
\(479\) | −4.85097 | + | 10.0731i | −0.221646 | + | 0.460253i | −0.981907 | − | 0.189365i | \(-0.939357\pi\) |
0.760260 | + | 0.649618i | \(0.225071\pi\) | |||||||
\(480\) | 2.97777 | + | 13.0465i | 0.135916 | + | 0.595486i | ||||
\(481\) | 1.11146i | 0.0506780i | ||||||||
\(482\) | −2.80330 | + | 0.639834i | −0.127687 | + | 0.0291436i | ||||
\(483\) | 1.33553 | + | 1.06505i | 0.0607686 | + | 0.0484613i | ||||
\(484\) | −3.27288 | + | 14.3394i | −0.148767 | + | 0.651793i | ||||
\(485\) | 13.3853 | + | 3.05510i | 0.607793 | + | 0.138725i | ||||
\(486\) | 5.37326 | + | 6.73785i | 0.243736 | + | 0.305635i | ||||
\(487\) | −38.3473 | − | 18.4671i | −1.73768 | − | 0.836824i | −0.983674 | − | 0.179959i | \(-0.942403\pi\) |
−0.754009 | − | 0.656865i | \(-0.771882\pi\) | |||||||
\(488\) | −1.24511 | + | 0.599613i | −0.0563634 | + | 0.0271432i | ||||
\(489\) | 2.32530 | − | 2.91583i | 0.105154 | − | 0.131859i | ||||
\(490\) | 3.72459 | − | 2.97026i | 0.168260 | − | 0.134183i | ||||
\(491\) | 6.56232 | + | 13.6268i | 0.296153 | + | 0.614969i | 0.994952 | − | 0.100349i | \(-0.0319960\pi\) |
−0.698799 | + | 0.715318i | \(0.746282\pi\) | |||||||
\(492\) | −3.85410 | −0.173756 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.708204 | 0.0318636 | ||||||||
\(495\) | 6.05019 | + | 12.5634i | 0.271936 | + | 0.564681i | ||||
\(496\) | −14.6267 | + | 11.6644i | −0.656757 | + | 0.523746i | ||||
\(497\) | 14.5999 | − | 18.3077i | 0.654895 | − | 0.821212i | ||||
\(498\) | 3.42222 | − | 1.64805i | 0.153353 | − | 0.0738510i | ||||
\(499\) | 22.2421 | + | 10.7113i | 0.995695 | + | 0.479502i | 0.859475 | − | 0.511177i | \(-0.170790\pi\) |
0.136220 | + | 0.990679i | \(0.456505\pi\) | |||||||
\(500\) | −18.8734 | − | 23.6664i | −0.844042 | − | 1.05840i | ||||
\(501\) | 6.34344 | + | 1.44785i | 0.283404 | + | 0.0646852i | ||||
\(502\) | −2.70272 | + | 11.8414i | −0.120628 | + | 0.528506i | ||||
\(503\) | 11.1571 | + | 8.89752i | 0.497472 | + | 0.396721i | 0.839831 | − | 0.542849i | \(-0.182654\pi\) |
−0.342358 | + | 0.939569i | \(0.611226\pi\) | |||||||
\(504\) | 12.7620 | − | 2.91284i | 0.568463 | − | 0.129748i | ||||
\(505\) | − | 2.38197i | − | 0.105996i | ||||||
\(506\) | 0.234922 | + | 1.02926i | 0.0104435 | + | 0.0457561i | ||||
\(507\) | −3.47107 | + | 7.20775i | −0.154156 | + | 0.320107i | ||||
\(508\) | −11.1935 | + | 23.2435i | −0.496631 | + | 1.03126i | ||||
\(509\) | −7.02327 | − | 30.7710i | −0.311301 | − | 1.36390i | −0.852378 | − | 0.522926i | \(-0.824840\pi\) |
0.541077 | − | 0.840973i | \(-0.318017\pi\) | |||||||
\(510\) | − | 6.45085i | − | 0.285648i | ||||||
\(511\) | 29.8840 | − | 6.82082i | 1.32199 | − | 0.301735i | ||||
\(512\) | −14.6267 | − | 11.6644i | −0.646413 | − | 0.515497i | ||||
\(513\) | 3.75039 | − | 16.4315i | 0.165584 | − | 0.725470i | ||||
\(514\) | −13.9670 | − | 3.18789i | −0.616060 | − | 0.140612i | ||||
\(515\) | −22.0603 | − | 27.6627i | −0.972093 | − | 1.21897i | ||||
\(516\) | 6.51947 | + | 3.13961i | 0.287004 | + | 0.138214i | ||||
\(517\) | −8.71576 | + | 4.19729i | −0.383319 | + | 0.184597i | ||||
\(518\) | −4.05678 | + | 5.08705i | −0.178245 | + | 0.223512i | ||||
\(519\) | 1.97636 | − | 1.57610i | 0.0867527 | − | 0.0691830i | ||||
\(520\) | −0.882711 | − | 1.83297i | −0.0387094 | − | 0.0803810i | ||||
\(521\) | −4.09017 | −0.179194 | −0.0895968 | − | 0.995978i | \(-0.528558\pi\) | ||||
−0.0895968 | + | 0.995978i | \(0.528558\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.3820 | −0.891241 | −0.445621 | − | 0.895222i | \(-0.647017\pi\) | ||||
−0.445621 | + | 0.895222i | \(0.647017\pi\) | |||||||
\(524\) | −10.0576 | − | 20.8848i | −0.439367 | − | 0.912355i | ||||
\(525\) | 10.6470 | − | 8.49071i | 0.464674 | − | 0.370565i | ||||
\(526\) | 6.43830 | − | 8.07338i | 0.280723 | − | 0.352016i | ||||
\(527\) | 39.8361 | − | 19.1841i | 1.73529 | − | 0.835671i | ||||
\(528\) | 1.42677 | + | 0.687095i | 0.0620921 | + | 0.0299020i | ||||
\(529\) | −13.3877 | − | 16.7876i | −0.582072 | − | 0.729895i | ||||
\(530\) | 4.64449 | + | 1.06007i | 0.201744 | + | 0.0460467i | ||||
\(531\) | −3.54793 | + | 15.5445i | −0.153967 | + | 0.674575i | ||||
\(532\) | −13.7308 | − | 10.9499i | −0.595304 | − | 0.474739i | ||||
\(533\) | 0.887019 | − | 0.202456i | 0.0384210 | − | 0.00876935i | ||||
\(534\) | − | 1.79837i | − | 0.0778232i | ||||||
\(535\) | 5.80087 | + | 25.4153i | 0.250794 | + | 1.09880i | ||||
\(536\) | −1.48232 | + | 3.07808i | −0.0640266 | + | 0.132953i | ||||
\(537\) | 4.29048 | − | 8.90927i | 0.185148 | − | 0.384463i | ||||
\(538\) | 0.825153 | + | 3.61523i | 0.0355749 | + | 0.155864i | ||||
\(539\) | − | 2.76393i | − | 0.119051i | ||||||
\(540\) | −21.1096 | + | 4.81813i | −0.908413 | + | 0.207339i | ||||
\(541\) | 11.4122 | + | 9.10092i | 0.490649 | + | 0.391279i | 0.837325 | − | 0.546706i | \(-0.184118\pi\) |
−0.346676 | + | 0.937985i | \(0.612690\pi\) | |||||||
\(542\) | −1.40006 | + | 6.13405i | −0.0601376 | + | 0.263480i | ||||
\(543\) | −3.58165 | − | 0.817489i | −0.153703 | − | 0.0350818i | ||||
\(544\) | 15.3491 | + | 19.2472i | 0.658087 | + | 0.825215i | ||||
\(545\) | 49.9403 | + | 24.0500i | 2.13921 | + | 1.03019i | ||||
\(546\) | 0.181659 | − | 0.0874823i | 0.00777428 | − | 0.00374390i | ||||
\(547\) | 4.60258 | − | 5.77145i | 0.196792 | − | 0.246770i | −0.673638 | − | 0.739061i | \(-0.735269\pi\) |
0.870430 | + | 0.492292i | \(0.163841\pi\) | |||||||
\(548\) | 9.03977 | − | 7.20898i | 0.386160 | − | 0.307952i | ||||
\(549\) | −0.702039 | − | 1.45780i | −0.0299623 | − | 0.0622173i | ||||
\(550\) | 8.41641 | 0.358877 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.70820 | −0.0727060 | ||||||||
\(553\) | 5.90864 | + | 12.2694i | 0.251261 | + | 0.521749i | ||||
\(554\) | −10.3317 | + | 8.23928i | −0.438953 | + | 0.350054i | ||||
\(555\) | 6.99230 | − | 8.76807i | 0.296807 | − | 0.372184i | ||||
\(556\) | −1.88318 | + | 0.906891i | −0.0798645 | + | 0.0384607i | ||||
\(557\) | −4.96126 | − | 2.38921i | −0.210215 | − | 0.101234i | 0.325814 | − | 0.945434i | \(-0.394362\pi\) |
−0.536029 | + | 0.844200i | \(0.680076\pi\) | |||||||
\(558\) | 10.1792 | + | 12.7644i | 0.430922 | + | 0.540359i | ||||
\(559\) | −1.66538 | − | 0.380111i | −0.0704379 | − | 0.0160770i | ||||
\(560\) | −3.55560 | + | 15.5781i | −0.150251 | + | 0.658295i | ||||
\(561\) | −2.92612 | − | 2.33350i | −0.123541 | − | 0.0985205i | ||||
\(562\) | −13.9335 | + | 3.18022i | −0.587748 | + | 0.134150i | ||||
\(563\) | 28.3951i | 1.19671i | 0.801230 | + | 0.598356i | \(0.204179\pi\) | ||||
−0.801230 | + | 0.598356i | \(0.795821\pi\) | |||||||
\(564\) | −1.55765 | − | 6.82450i | −0.0655888 | − | 0.287363i | ||||
\(565\) | −13.2847 | + | 27.5859i | −0.558890 | + | 1.16055i | ||||
\(566\) | −1.40408 | + | 2.91560i | −0.0590178 | + | 0.122552i | ||||
\(567\) | 2.84024 | + | 12.4439i | 0.119279 | + | 0.522595i | ||||
\(568\) | 23.4164i | 0.982531i | ||||||||
\(569\) | −1.89552 | + | 0.432641i | −0.0794645 | + | 0.0181373i | −0.262068 | − | 0.965049i | \(-0.584405\pi\) |
0.182604 | + | 0.983187i | \(0.441547\pi\) | |||||||
\(570\) | −5.58689 | − | 4.45539i | −0.234009 | − | 0.186616i | ||||
\(571\) | 7.67844 | − | 33.6414i | 0.321333 | − | 1.40785i | −0.513851 | − | 0.857879i | \(-0.671782\pi\) |
0.835184 | − | 0.549971i | \(-0.185361\pi\) | |||||||
\(572\) | −0.514629 | − | 0.117461i | −0.0215177 | − | 0.00491128i | ||||
\(573\) | 6.56402 | + | 8.23102i | 0.274216 | + | 0.343856i | ||||
\(574\) | 4.79877 | + | 2.31097i | 0.200297 | + | 0.0964579i | ||||
\(575\) | 10.9741 | − | 5.28485i | 0.457652 | − | 0.220394i | ||||
\(576\) | 0.385338 | − | 0.483198i | 0.0160557 | − | 0.0201333i | ||||
\(577\) | 2.16093 | − | 1.72328i | 0.0899607 | − | 0.0717412i | −0.577477 | − | 0.816407i | \(-0.695963\pi\) |
0.667437 | + | 0.744666i | \(0.267391\pi\) | |||||||
\(578\) | −0.590377 | − | 1.22593i | −0.0245564 | − | 0.0509920i | ||||
\(579\) | 7.70820 | 0.320342 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.2361 | 0.922508 | ||||||||
\(582\) | −0.590377 | − | 1.22593i | −0.0244719 | − | 0.0508164i | ||||
\(583\) | 2.16093 | − | 1.72328i | 0.0894965 | − | 0.0713711i | ||||
\(584\) | −19.1115 | + | 23.9651i | −0.790840 | + | 0.991682i | ||||
\(585\) | 2.14608 | − | 1.03350i | 0.0887294 | − | 0.0427298i | ||||
\(586\) | 4.74857 | + | 2.28679i | 0.196161 | + | 0.0944664i | ||||
\(587\) | 29.0659 | + | 36.4474i | 1.19968 | + | 1.50435i | 0.813135 | + | 0.582075i | \(0.197759\pi\) |
0.386542 | + | 0.922272i | \(0.373669\pi\) | |||||||
\(588\) | 1.94986 | + | 0.445042i | 0.0804107 | + | 0.0183532i | ||||
\(589\) | 10.8988 | − | 47.7507i | 0.449077 | − | 1.96753i | ||||
\(590\) | 11.3417 | + | 9.04470i | 0.466930 | + | 0.372365i | ||||
\(591\) | −3.79105 | + | 0.865282i | −0.155943 | + | 0.0355930i | ||||
\(592\) | 8.72949i | 0.358780i | ||||||||
\(593\) | −3.21269 | − | 14.0757i | −0.131929 | − | 0.578020i | −0.997070 | − | 0.0764913i | \(-0.975628\pi\) |
0.865141 | − | 0.501529i | \(-0.167229\pi\) | |||||||
\(594\) | 1.28671 | − | 2.67188i | 0.0527942 | − | 0.109628i | ||||
\(595\) | 16.3852 | − | 34.0241i | 0.671726 | − | 1.39485i | ||||
\(596\) | 3.46294 | + | 15.1721i | 0.141848 | + | 0.621475i | ||||
\(597\) | − | 3.61803i | − | 0.148076i | ||||||
\(598\) | 0.175818 | − | 0.0401294i | 0.00718975 | − | 0.00164101i | ||||
\(599\) | −10.2177 | − | 8.14832i | −0.417482 | − | 0.332931i | 0.392115 | − | 0.919916i | \(-0.371743\pi\) |
−0.809598 | + | 0.586985i | \(0.800315\pi\) | |||||||
\(600\) | −3.03030 | + | 13.2766i | −0.123711 | + | 0.542015i | ||||
\(601\) | 28.4280 | + | 6.48850i | 1.15960 | + | 0.264671i | 0.758694 | − | 0.651447i | \(-0.225838\pi\) |
0.400907 | + | 0.916119i | \(0.368695\pi\) | |||||||
\(602\) | −6.23490 | − | 7.81831i | −0.254115 | − | 0.318651i | ||||
\(603\) | −3.60388 | − | 1.73553i | −0.146761 | − | 0.0706764i | ||||
\(604\) | 3.89781 | − | 1.87708i | 0.158599 | − | 0.0763775i | ||||
\(605\) | −21.8436 | + | 27.3910i | −0.888069 | + | 1.11360i | ||||
\(606\) | −0.184565 | + | 0.147186i | −0.00749746 | + | 0.00597902i | ||||
\(607\) | −4.76349 | − | 9.89148i | −0.193344 | − | 0.401483i | 0.781649 | − | 0.623718i | \(-0.214379\pi\) |
−0.974993 | + | 0.222236i | \(0.928665\pi\) | |||||||
\(608\) | 27.2705 | 1.10597 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.47214 | −0.0596050 | ||||||||
\(611\) | 0.716982 | + | 1.48883i | 0.0290060 | + | 0.0602316i | ||||
\(612\) | −14.5126 | + | 11.5734i | −0.586637 | + | 0.467827i | ||||
\(613\) | −17.1715 | + | 21.5324i | −0.693552 | + | 0.869687i | −0.996523 | − | 0.0833128i | \(-0.973450\pi\) |
0.302971 | + | 0.953000i | \(0.402021\pi\) | |||||||
\(614\) | −10.6802 | + | 5.14330i | −0.431017 | + | 0.207567i | ||||
\(615\) | −8.27120 | − | 3.98320i | −0.333527 | − | 0.160618i | ||||
\(616\) | −4.30821 | − | 5.40232i | −0.173583 | − | 0.217666i | ||||
\(617\) | 13.8248 | + | 3.15542i | 0.556566 | + | 0.127033i | 0.491546 | − | 0.870851i | \(-0.336432\pi\) |
0.0650196 | + | 0.997884i | \(0.479289\pi\) | |||||||
\(618\) | −0.780287 | + | 3.41866i | −0.0313877 | + | 0.137519i | ||||
\(619\) | 5.51639 | + | 4.39917i | 0.221722 | + | 0.176818i | 0.728051 | − | 0.685523i | \(-0.240426\pi\) |
−0.506329 | + | 0.862341i | \(0.668998\pi\) | |||||||
\(620\) | −61.3454 | + | 14.0017i | −2.46369 | + | 0.562321i | ||||
\(621\) | − | 4.29180i | − | 0.172224i | ||||||
\(622\) | 0.287452 | + | 1.25941i | 0.0115258 | + | 0.0504977i | ||||
\(623\) | 4.56787 | − | 9.48528i | 0.183008 | − | 0.380020i | ||||
\(624\) | 0.117370 | − | 0.243721i | 0.00469855 | − | 0.00975665i | ||||
\(625\) | −5.08078 | − | 22.2603i | −0.203231 | − | 0.890414i | ||||
\(626\) | 7.97871i | 0.318894i | ||||||||
\(627\) | −4.04195 | + | 0.922549i | −0.161420 | + | 0.0368431i | ||||
\(628\) | 18.4218 | + | 14.6909i | 0.735108 | + | 0.586229i | ||||
\(629\) | 4.59087 | − | 20.1139i | 0.183050 | − | 0.801995i | ||||
\(630\) | 13.5947 | + | 3.10289i | 0.541624 | + | 0.123622i | ||||
\(631\) | 17.5916 | + | 22.0592i | 0.700312 | + | 0.878163i | 0.997047 | − | 0.0767968i | \(-0.0244693\pi\) |
−0.296735 | + | 0.954960i | \(0.595898\pi\) | |||||||
\(632\) | −12.2694 | − | 5.90864i | −0.488052 | − | 0.235033i | ||||
\(633\) | −6.48844 | + | 3.12467i | −0.257892 | + | 0.124194i | ||||
\(634\) | 10.6770 | − | 13.3886i | 0.424039 | − | 0.531728i | ||||
\(635\) | −48.0442 | + | 38.3140i | −1.90658 | + | 1.52044i | ||||
\(636\) | 0.867767 | + | 1.80194i | 0.0344092 | + | 0.0714515i | ||||
\(637\) | −0.472136 | −0.0187067 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.4164 | −1.08458 | ||||||||
\(640\) | −19.0333 | − | 39.5230i | −0.752357 | − | 1.56229i | ||||
\(641\) | 8.64372 | − | 6.89313i | 0.341406 | − | 0.272262i | −0.437744 | − | 0.899100i | \(-0.644222\pi\) |
0.779150 | + | 0.626837i | \(0.215651\pi\) | |||||||
\(642\) | 1.61084 | − | 2.01993i | 0.0635749 | − | 0.0797204i | ||||
\(643\) | −33.7110 | + | 16.2344i | −1.32943 | + | 0.640221i | −0.957606 | − | 0.288081i | \(-0.906983\pi\) |
−0.371827 | + | 0.928302i | \(0.621268\pi\) | |||||||
\(644\) | −4.02926 | − | 1.94039i | −0.158775 | − | 0.0764620i | ||||
\(645\) | 10.7465 | + | 13.4757i | 0.423144 | + | 0.530605i | ||||
\(646\) | −12.8163 | − | 2.92524i | −0.504251 | − | 0.115092i | ||||
\(647\) | −6.79309 | + | 29.7625i | −0.267064 | + | 1.17008i | 0.646347 | + | 0.763044i | \(0.276296\pi\) |
−0.913411 | + | 0.407039i | \(0.866561\pi\) | |||||||
\(648\) | −9.97924 | − | 7.95818i | −0.392022 | − | 0.312627i | ||||
\(649\) | 8.20539 | − | 1.87283i | 0.322090 | − | 0.0735149i | ||||
\(650\) | − | 1.43769i | − | 0.0563910i | ||||||
\(651\) | −3.10289 | − | 13.5947i | −0.121612 | − | 0.532817i | ||||
\(652\) | −4.23641 | + | 8.79700i | −0.165911 | + | 0.344517i | ||||
\(653\) | 20.8321 | − | 43.2584i | 0.815224 | − | 1.69283i | 0.0988626 | − | 0.995101i | \(-0.468480\pi\) |
0.716362 | − | 0.697729i | \(-0.245806\pi\) | |||||||
\(654\) | −1.22240 | − | 5.35569i | −0.0477997 | − | 0.209424i | ||||
\(655\) | − | 55.2148i | − | 2.15742i | ||||||
\(656\) | 6.96674 | − | 1.59011i | 0.272005 | − | 0.0620834i | ||||
\(657\) | −28.0588 | − | 22.3761i | −1.09468 | − | 0.872976i | ||||
\(658\) | −2.15261 | + | 9.43122i | −0.0839177 | + | 0.367667i | ||||
\(659\) | −6.87883 | − | 1.57005i | −0.267961 | − | 0.0611604i | 0.0864291 | − | 0.996258i | \(-0.472454\pi\) |
−0.354390 | + | 0.935098i | \(0.615312\pi\) | |||||||
\(660\) | 3.32086 | + | 4.16422i | 0.129264 | + | 0.162092i | ||||
\(661\) | 33.7420 | + | 16.2493i | 1.31241 | + | 0.632025i | 0.953513 | − | 0.301351i | \(-0.0974375\pi\) |
0.358900 | + | 0.933376i | \(0.383152\pi\) | |||||||
\(662\) | −11.7938 | + | 5.67961i | −0.458380 | + | 0.220744i | ||||
\(663\) | −0.398610 | + | 0.499841i | −0.0154807 | + | 0.0194122i | ||||
\(664\) | −17.3849 | + | 13.8640i | −0.674663 | + | 0.538026i | ||||
\(665\) | −18.1506 | − | 37.6901i | −0.703849 | − | 1.46156i | ||||
\(666\) | 7.61803 | 0.295193 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −17.0344 | −0.659082 | ||||||||
\(669\) | −0.716982 | − | 1.48883i | −0.0277201 | − | 0.0575615i | ||||
\(670\) | −2.84534 | + | 2.26908i | −0.109925 | + | 0.0876622i | ||||
\(671\) | −0.532524 | + | 0.667764i | −0.0205579 | + | 0.0257787i | ||||
\(672\) | 6.99506 | − | 3.36864i | 0.269840 | − | 0.129948i | ||||
\(673\) | −5.83119 | − | 2.80815i | −0.224776 | − | 0.108246i | 0.318107 | − | 0.948055i | \(-0.396953\pi\) |
−0.542883 | + | 0.839808i | \(0.682667\pi\) | |||||||
\(674\) | −13.1280 | − | 16.4620i | −0.505673 | − | 0.634094i | ||||
\(675\) | −33.3569 | − | 7.61351i | −1.28391 | − | 0.293044i | ||||
\(676\) | 4.66054 | − | 20.4192i | 0.179251 | − | 0.785352i | ||||
\(677\) | −31.9244 | − | 25.4588i | −1.22695 | − | 0.978463i | −0.999990 | − | 0.00455972i | \(-0.998549\pi\) |
−0.226964 | − | 0.973903i | \(-0.572880\pi\) | |||||||
\(678\) | 2.95836 | − | 0.675227i | 0.113615 | − | 0.0259319i | ||||
\(679\) | − | 7.96556i | − | 0.305690i | ||||||
\(680\) | 8.40327 | + | 36.8171i | 0.322251 | + | 1.41187i | ||||
\(681\) | −5.60137 | + | 11.6314i | −0.214645 | + | 0.445714i | ||||
\(682\) | 3.73922 | − | 7.76458i | 0.143182 | − | 0.297321i | ||||
\(683\) | −4.64047 | − | 20.3312i | −0.177563 | − | 0.777954i | −0.982751 | − | 0.184934i | \(-0.940793\pi\) |
0.805188 | − | 0.593019i | \(-0.202064\pi\) | |||||||
\(684\) | 20.5623i | 0.786219i | ||||||||
\(685\) | 26.8505 | − | 6.12845i | 1.02591 | − | 0.234156i | ||||
\(686\) | −9.72418 | − | 7.75478i | −0.371271 | − | 0.296079i | ||||
\(687\) | 0.315180 | − | 1.38090i | 0.0120249 | − | 0.0526845i | ||||
\(688\) | −13.0800 | − | 2.98543i | −0.498671 | − | 0.113819i | ||||
\(689\) | −0.294372 | − | 0.369131i | −0.0112147 | − | 0.0140628i | ||||
\(690\) | −1.63946 | − | 0.789521i | −0.0624131 | − | 0.0300565i | ||||
\(691\) | −10.6610 | + | 5.13407i | −0.405563 | + | 0.195309i | −0.625533 | − | 0.780198i | \(-0.715118\pi\) |
0.219970 | + | 0.975507i | \(0.429404\pi\) | |||||||
\(692\) | −4.12628 | + | 5.17419i | −0.156858 | + | 0.196693i | ||||
\(693\) | 6.32515 | − | 5.04414i | 0.240273 | − | 0.191611i | ||||
\(694\) | 8.61437 | + | 17.8879i | 0.326997 | + | 0.679016i | ||||
\(695\) | −4.97871 | −0.188853 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.8885 | −0.639699 | ||||||||
\(698\) | 1.21417 | + | 2.52125i | 0.0459570 | + | 0.0954306i | ||||
\(699\) | −7.36204 | + | 5.87103i | −0.278458 | + | 0.222063i | ||||
\(700\) | −22.2290 | + | 27.8742i | −0.840176 | + | 1.05355i | ||||
\(701\) | −18.9706 | + | 9.13574i | −0.716508 | + | 0.345052i | −0.756362 | − | 0.654153i | \(-0.773025\pi\) |
0.0398539 | + | 0.999206i | \(0.487311\pi\) | |||||||
\(702\) | −0.456411 | − | 0.219796i | −0.0172261 | − | 0.00829566i | ||||
\(703\) | −14.2493 | − | 17.8681i | −0.537423 | − | 0.673907i | ||||
\(704\) | −0.318058 | − | 0.0725948i | −0.0119873 | − | 0.00273602i | ||||
\(705\) | 3.71026 | − | 16.2557i | 0.139737 | − | 0.612226i | ||||
\(706\) | −9.24098 | − | 7.36944i | −0.347789 | − | 0.277352i | ||||
\(707\) | −1.34732 | + | 0.307516i | −0.0506711 | + | 0.0115653i | ||||
\(708\) | 6.09017i | 0.228883i | ||||||||
\(709\) | −9.23608 | − | 40.4659i | −0.346868 | − | 1.51973i | −0.784245 | − | 0.620451i | \(-0.786949\pi\) |
0.437377 | − | 0.899278i | \(-0.355908\pi\) | |||||||
\(710\) | −10.8229 | + | 22.4740i | −0.406177 | + | 0.843435i | ||||
\(711\) | 6.91796 | − | 14.3653i | 0.259444 | − | 0.538741i | ||||
\(712\) | 2.34267 | + | 10.2639i | 0.0877953 | + | 0.384656i | ||||
\(713\) | − | 12.4721i | − | 0.467085i | ||||||
\(714\) | −3.64881 | + | 0.832817i | −0.136553 | + | 0.0311674i | ||||
\(715\) | −0.983039 | − | 0.783948i | −0.0367636 | − | 0.0293180i | ||||
\(716\) | −5.76074 | + | 25.2395i | −0.215289 | + | 0.943243i | ||||
\(717\) | 16.7160 | + | 3.81532i | 0.624271 | + | 0.142486i | ||||
\(718\) | 9.15714 | + | 11.4827i | 0.341742 | + | 0.428530i | ||||
\(719\) | −7.66416 | − | 3.69087i | −0.285825 | − | 0.137646i | 0.285478 | − | 0.958385i | \(-0.407848\pi\) |
−0.571303 | + | 0.820739i | \(0.693562\pi\) | |||||||
\(720\) | 16.8555 | − | 8.11719i | 0.628168 | − | 0.302510i | ||||
\(721\) | −12.7989 | + | 16.0493i | −0.476656 | + | 0.597708i | ||||
\(722\) | −2.20450 | + | 1.75803i | −0.0820430 | + | 0.0654271i | ||||
\(723\) | −1.24758 | − | 2.59064i | −0.0463982 | − | 0.0963468i | ||||
\(724\) | 9.61803 | 0.357451 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.47214 | 0.128863 | ||||||||
\(727\) | 12.1729 | + | 25.2773i | 0.451469 | + | 0.937485i | 0.995166 | + | 0.0982034i | \(0.0313096\pi\) |
−0.543698 | + | 0.839281i | \(0.682976\pi\) | |||||||
\(728\) | −0.922827 | + | 0.735930i | −0.0342022 | + | 0.0272754i | ||||
\(729\) | 5.30376 | − | 6.65071i | 0.196436 | − | 0.246323i | ||||
\(730\) | −29.4189 | + | 14.1674i | −1.08884 | + | 0.524358i | ||||
\(731\) | 28.5681 | + | 13.7577i | 1.05663 | + | 0.508846i | ||||
\(732\) | −0.385338 | − | 0.483198i | −0.0142425 | − | 0.0178595i | ||||
\(733\) | −14.4481 | − | 3.29768i | −0.533653 | − | 0.121803i | −0.0528016 | − | 0.998605i | \(-0.516815\pi\) |
−0.480851 | + | 0.876802i | \(0.659672\pi\) | |||||||
\(734\) | 3.75039 | − | 16.4315i | 0.138429 | − | 0.606499i | ||||
\(735\) | 3.72459 | + | 2.97026i | 0.137384 | + | 0.109560i | ||||
\(736\) | 6.77016 | − | 1.54525i | 0.249552 | − | 0.0569585i | ||||
\(737\) | 2.11146i | 0.0777765i | ||||||||
\(738\) | −1.38766 | − | 6.07972i | −0.0510803 | − | 0.223797i | ||||
\(739\) | 21.7241 | − | 45.1105i | 0.799133 | − | 1.65942i | 0.0483844 | − | 0.998829i | \(-0.484593\pi\) |
0.750749 | − | 0.660588i | \(-0.229693\pi\) | |||||||
\(740\) | −12.7391 | + | 26.4531i | −0.468299 | + | 0.972434i | ||||
\(741\) | 0.157590 | + | 0.690448i | 0.00578922 | + | 0.0253642i | ||||
\(742\) | − | 2.76393i | − | 0.101467i | ||||||
\(743\) | 34.3526 | − | 7.84076i | 1.26028 | − | 0.287650i | 0.460344 | − | 0.887741i | \(-0.347726\pi\) |
0.799932 | + | 0.600091i | \(0.204869\pi\) | |||||||
\(744\) | 10.9021 | + | 8.69411i | 0.399689 | + | 0.318742i | ||||
\(745\) | −8.24860 | + | 36.1395i | −0.302205 | + | 1.32405i | ||||
\(746\) | 12.4232 | + | 2.83551i | 0.454844 | + | 0.103815i | ||||
\(747\) | −16.2322 | − | 20.3545i | −0.593905 | − | 0.744734i | ||||
\(748\) | 8.82803 | + | 4.25136i | 0.322785 | + | 0.155445i | ||||
\(749\) | 13.6268 | − | 6.56232i | 0.497913 | − | 0.239782i | ||||
\(750\) | −4.45539 | + | 5.58689i | −0.162688 | + | 0.204004i | ||||
\(751\) | 14.4857 | − | 11.5519i | 0.528590 | − | 0.421536i | −0.322490 | − | 0.946573i | \(-0.604520\pi\) |
0.851080 | + | 0.525037i | \(0.175948\pi\) | |||||||
\(752\) | 5.63125 | + | 11.6934i | 0.205351 | + | 0.426415i | ||||
\(753\) | −12.1459 | −0.442621 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.3050 | 0.375036 | ||||||||
\(756\) | 5.45058 | + | 11.3182i | 0.198236 | + | 0.411641i | ||||
\(757\) | −0.0166422 | + | 0.0132718i | −0.000604873 | + | 0.000482370i | −0.623792 | − | 0.781590i | \(-0.714409\pi\) |
0.623187 | + | 0.782073i | \(0.285837\pi\) | |||||||
\(758\) | 9.36055 | − | 11.7378i | 0.339990 | − | 0.426335i | ||||
\(759\) | −0.951178 | + | 0.458063i | −0.0345256 | + | 0.0166266i | ||||
\(760\) | 37.6901 | + | 18.1506i | 1.36716 | + | 0.658391i | ||||
\(761\) | 15.7130 | + | 19.7034i | 0.569594 | + | 0.714249i | 0.980299 | − | 0.197520i | \(-0.0632887\pi\) |
−0.410705 | + | 0.911768i | \(0.634717\pi\) | |||||||
\(762\) | 5.93748 | + | 1.35519i | 0.215092 | + | 0.0490934i | ||||
\(763\) | 7.15606 | − | 31.3528i | 0.259067 | − | 1.13505i | ||||
\(764\) | −21.5491 | − | 17.1848i | −0.779618 | − | 0.621725i | ||||
\(765\) | −43.1062 | + | 9.83871i | −1.55851 | + | 0.355719i | ||||
\(766\) | − | 17.8328i | − | 0.644326i | ||||||
\(767\) | −0.319917 | − | 1.40165i | −0.0115515 | − | 0.0506106i | ||||
\(768\) | −1.75971 | + | 3.65408i | −0.0634982 | + | 0.131855i | ||||
\(769\) | −8.40028 | + | 17.4434i | −0.302922 | + | 0.629024i | −0.995752 | − | 0.0920771i | \(-0.970649\pi\) |
0.692830 | + | 0.721101i | \(0.256364\pi\) | |||||||
\(770\) | −1.63791 | − | 7.17613i |