Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 13.15 | ||
Character | \(\chi\) | \(=\) | 216.13 |
Dual form | 216.2.t.a.133.15 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.471714 | − | 1.33322i | −0.333552 | − | 0.942732i | ||||
\(3\) | 1.55492 | + | 0.763031i | 0.897735 | + | 0.440536i | ||||
\(4\) | −1.55497 | + | 1.25780i | −0.777486 | + | 0.628900i | ||||
\(5\) | −2.77087 | + | 3.30219i | −1.23917 | + | 1.47678i | −0.415622 | + | 0.909537i | \(0.636436\pi\) |
−0.823547 | + | 0.567247i | \(0.808008\pi\) | |||||||
\(6\) | 0.283814 | − | 2.43299i | 0.115866 | − | 0.993265i | ||||
\(7\) | −1.82038 | − | 0.662564i | −0.688039 | − | 0.250426i | −0.0257435 | − | 0.999669i | \(-0.508195\pi\) |
−0.662295 | + | 0.749243i | \(0.730418\pi\) | |||||||
\(8\) | 2.41043 | + | 1.47981i | 0.852216 | + | 0.523190i | ||||
\(9\) | 1.83557 | + | 2.37291i | 0.611856 | + | 0.790970i | ||||
\(10\) | 5.70962 | + | 2.13650i | 1.80554 | + | 0.675620i | ||||
\(11\) | 1.44851 | + | 1.72627i | 0.436743 | + | 0.520490i | 0.938855 | − | 0.344312i | \(-0.111888\pi\) |
−0.502112 | + | 0.864803i | \(0.667443\pi\) | |||||||
\(12\) | −3.37760 | + | 0.769288i | −0.975030 | + | 0.222074i | ||||
\(13\) | 2.39912 | + | 0.423029i | 0.665396 | + | 0.117327i | 0.496137 | − | 0.868244i | \(-0.334751\pi\) |
0.169259 | + | 0.985572i | \(0.445863\pi\) | |||||||
\(14\) | −0.0246485 | + | 2.73951i | −0.00658758 | + | 0.732166i | ||||
\(15\) | −6.82816 | + | 3.02039i | −1.76302 | + | 0.779862i | ||||
\(16\) | 0.835880 | − | 3.91169i | 0.208970 | − | 0.977922i | ||||
\(17\) | −2.16968 | + | 3.75799i | −0.526224 | + | 0.911447i | 0.473309 | + | 0.880897i | \(0.343059\pi\) |
−0.999533 | + | 0.0305508i | \(0.990274\pi\) | |||||||
\(18\) | 2.29776 | − | 3.56655i | 0.541586 | − | 0.840645i | ||||
\(19\) | −0.235573 | + | 0.136008i | −0.0540442 | + | 0.0312024i | −0.526779 | − | 0.850003i | \(-0.676600\pi\) |
0.472734 | + | 0.881205i | \(0.343267\pi\) | |||||||
\(20\) | 0.155128 | − | 8.62001i | 0.0346876 | − | 1.92749i | ||||
\(21\) | −2.32499 | − | 2.41924i | −0.507355 | − | 0.527922i | ||||
\(22\) | 1.61822 | − | 2.74550i | 0.345006 | − | 0.585342i | ||||
\(23\) | 0.887445 | − | 0.323004i | 0.185045 | − | 0.0673509i | −0.247836 | − | 0.968802i | \(-0.579719\pi\) |
0.432881 | + | 0.901451i | \(0.357497\pi\) | |||||||
\(24\) | 2.61889 | + | 4.14022i | 0.534580 | + | 0.845118i | ||||
\(25\) | −2.35852 | − | 13.3758i | −0.471704 | − | 2.67517i | ||||
\(26\) | −0.567704 | − | 3.39811i | −0.111336 | − | 0.666425i | ||||
\(27\) | 1.04356 | + | 5.09028i | 0.200833 | + | 0.979625i | ||||
\(28\) | 3.66401 | − | 1.25940i | 0.692433 | − | 0.238005i | ||||
\(29\) | −4.77011 | + | 0.841100i | −0.885788 | + | 0.156188i | −0.597991 | − | 0.801503i | \(-0.704034\pi\) |
−0.287797 | + | 0.957691i | \(0.592923\pi\) | |||||||
\(30\) | 7.24779 | + | 7.67870i | 1.32326 | + | 1.40193i | ||||
\(31\) | 6.62247 | − | 2.41038i | 1.18943 | − | 0.432917i | 0.329907 | − | 0.944013i | \(-0.392983\pi\) |
0.859524 | + | 0.511096i | \(0.170760\pi\) | |||||||
\(32\) | −5.60945 | + | 0.730782i | −0.991620 | + | 0.129185i | ||||
\(33\) | 0.935127 | + | 3.78948i | 0.162785 | + | 0.659664i | ||||
\(34\) | 6.03371 | + | 1.11997i | 1.03477 | + | 0.192073i | ||||
\(35\) | 7.23194 | − | 4.17536i | 1.22242 | − | 0.705765i | ||||
\(36\) | −5.83890 | − | 1.38103i | −0.973150 | − | 0.230172i | ||||
\(37\) | 2.79295 | + | 1.61251i | 0.459158 | + | 0.265095i | 0.711690 | − | 0.702494i | \(-0.247930\pi\) |
−0.252532 | + | 0.967588i | \(0.581263\pi\) | |||||||
\(38\) | 0.292452 | + | 0.249915i | 0.0474420 | + | 0.0405415i | ||||
\(39\) | 3.40766 | + | 2.48838i | 0.545662 | + | 0.398460i | ||||
\(40\) | −11.5656 | + | 3.85936i | −1.82868 | + | 0.610218i | ||||
\(41\) | 1.33423 | − | 7.56678i | 0.208371 | − | 1.18173i | −0.683675 | − | 0.729787i | \(-0.739619\pi\) |
0.892046 | − | 0.451945i | \(-0.149270\pi\) | |||||||
\(42\) | −2.12866 | + | 4.24092i | −0.328459 | + | 0.654389i | ||||
\(43\) | −0.896039 | − | 1.06786i | −0.136645 | − | 0.162847i | 0.693383 | − | 0.720570i | \(-0.256120\pi\) |
−0.830027 | + | 0.557723i | \(0.811675\pi\) | |||||||
\(44\) | −4.42370 | − | 0.862365i | −0.666898 | − | 0.130006i | ||||
\(45\) | −12.9219 | − | 0.513623i | −1.92628 | − | 0.0765663i | ||||
\(46\) | −0.849256 | − | 1.03080i | −0.125216 | − | 0.151983i | ||||
\(47\) | 10.4555 | + | 3.80548i | 1.52509 | + | 0.555086i | 0.962412 | − | 0.271594i | \(-0.0875507\pi\) |
0.562673 | + | 0.826679i | \(0.309773\pi\) | |||||||
\(48\) | 4.28447 | − | 5.44457i | 0.618410 | − | 0.785856i | ||||
\(49\) | −2.48752 | − | 2.08728i | −0.355360 | − | 0.298183i | ||||
\(50\) | −16.7204 | + | 9.45400i | −2.36463 | + | 1.33700i | ||||
\(51\) | −6.24115 | + | 4.18786i | −0.873936 | + | 0.586417i | ||||
\(52\) | −4.26265 | + | 2.35981i | −0.591123 | + | 0.327247i | ||||
\(53\) | − | 6.65740i | − | 0.914464i | −0.889347 | − | 0.457232i | \(-0.848841\pi\) | ||
0.889347 | − | 0.457232i | \(-0.151159\pi\) | |||||||
\(54\) | 6.29423 | − | 3.79246i | 0.856536 | − | 0.516088i | ||||
\(55\) | −9.71412 | −1.30985 | ||||||||
\(56\) | −3.40743 | − | 4.29087i | −0.455337 | − | 0.573392i | ||||
\(57\) | −0.470076 | + | 0.0317325i | −0.0622631 | + | 0.00420308i | ||||
\(58\) | 3.37150 | + | 5.96287i | 0.442700 | + | 0.782964i | ||||
\(59\) | −1.41398 | + | 1.68512i | −0.184085 | + | 0.219384i | −0.850193 | − | 0.526472i | \(-0.823515\pi\) |
0.666108 | + | 0.745855i | \(0.267959\pi\) | |||||||
\(60\) | 6.81855 | − | 13.2851i | 0.880271 | − | 1.71510i | ||||
\(61\) | −3.49044 | + | 9.58990i | −0.446905 | + | 1.22786i | 0.487963 | + | 0.872864i | \(0.337740\pi\) |
−0.934868 | + | 0.354996i | \(0.884482\pi\) | |||||||
\(62\) | −6.33749 | − | 7.69223i | −0.804862 | − | 0.976914i | ||||
\(63\) | −1.76922 | − | 5.53577i | −0.222901 | − | 0.697442i | ||||
\(64\) | 3.62035 | + | 7.13394i | 0.452544 | + | 0.891742i | ||||
\(65\) | −8.04457 | + | 6.75019i | −0.997806 | + | 0.837258i | ||||
\(66\) | 4.61111 | − | 3.03428i | 0.567589 | − | 0.373494i | ||||
\(67\) | 13.7844 | + | 2.43056i | 1.68403 | + | 0.296940i | 0.932072 | − | 0.362272i | \(-0.117999\pi\) |
0.751957 | + | 0.659212i | \(0.229110\pi\) | |||||||
\(68\) | −1.35301 | − | 8.57260i | −0.164077 | − | 1.03958i | ||||
\(69\) | 1.62637 | + | 0.174903i | 0.195792 | + | 0.0210558i | ||||
\(70\) | −8.97810 | − | 7.67222i | −1.07309 | − | 0.917006i | ||||
\(71\) | 4.76204 | − | 8.24810i | 0.565150 | − | 0.978869i | −0.431885 | − | 0.901929i | \(-0.642151\pi\) |
0.997036 | − | 0.0769408i | \(-0.0245152\pi\) | |||||||
\(72\) | 0.913063 | + | 8.43601i | 0.107605 | + | 0.994194i | ||||
\(73\) | 1.97687 | + | 3.42405i | 0.231376 | + | 0.400754i | 0.958213 | − | 0.286055i | \(-0.0923440\pi\) |
−0.726838 | + | 0.686809i | \(0.759011\pi\) | |||||||
\(74\) | 0.832365 | − | 4.48427i | 0.0967604 | − | 0.521286i | ||||
\(75\) | 6.53886 | − | 22.5980i | 0.755043 | − | 2.60939i | ||||
\(76\) | 0.195239 | − | 0.507793i | 0.0223954 | − | 0.0582478i | ||||
\(77\) | −1.49308 | − | 4.10220i | −0.170152 | − | 0.467489i | ||||
\(78\) | 1.71013 | − | 5.71698i | 0.193634 | − | 0.647320i | ||||
\(79\) | 1.78017 | + | 10.0958i | 0.200284 | + | 1.13587i | 0.904690 | + | 0.426071i | \(0.140103\pi\) |
−0.704406 | + | 0.709798i | \(0.748786\pi\) | |||||||
\(80\) | 10.6010 | + | 13.5990i | 1.18523 | + | 1.52041i | ||||
\(81\) | −2.26139 | + | 8.71126i | −0.251266 | + | 0.967918i | ||||
\(82\) | −10.7176 | + | 1.79053i | −1.18356 | + | 0.197731i | ||||
\(83\) | −3.75535 | + | 0.662170i | −0.412203 | + | 0.0726826i | −0.375905 | − | 0.926658i | \(-0.622668\pi\) |
−0.0362989 | + | 0.999341i | \(0.511557\pi\) | |||||||
\(84\) | 6.65822 | + | 0.837481i | 0.726471 | + | 0.0913766i | ||||
\(85\) | −6.39772 | − | 17.5776i | −0.693930 | − | 1.90656i | ||||
\(86\) | −1.00102 | + | 1.69834i | −0.107943 | + | 0.183137i | ||||
\(87\) | −8.05894 | − | 2.33190i | −0.864009 | − | 0.250006i | ||||
\(88\) | 0.936996 | + | 6.30458i | 0.0998841 | + | 0.672070i | ||||
\(89\) | 6.61216 | + | 11.4526i | 0.700887 | + | 1.21397i | 0.968155 | + | 0.250350i | \(0.0805458\pi\) |
−0.267268 | + | 0.963622i | \(0.586121\pi\) | |||||||
\(90\) | 5.41067 | + | 17.4701i | 0.570334 | + | 1.84151i | ||||
\(91\) | −4.08702 | − | 2.35964i | −0.428436 | − | 0.247358i | ||||
\(92\) | −0.973679 | + | 1.61849i | −0.101513 | + | 0.168739i | ||||
\(93\) | 12.1366 | + | 1.30519i | 1.25851 | + | 0.135342i | ||||
\(94\) | 0.141570 | − | 15.7346i | 0.0146018 | − | 1.62290i | ||||
\(95\) | 0.203617 | − | 1.15477i | 0.0208906 | − | 0.118477i | ||||
\(96\) | −9.27987 | − | 3.14388i | −0.947123 | − | 0.320871i | ||||
\(97\) | −0.576908 | + | 0.484083i | −0.0585761 | + | 0.0491512i | −0.671606 | − | 0.740909i | \(-0.734395\pi\) |
0.613030 | + | 0.790060i | \(0.289951\pi\) | |||||||
\(98\) | −1.60941 | + | 4.30102i | −0.162575 | + | 0.434469i | ||||
\(99\) | −1.43744 | + | 6.60588i | −0.144468 | + | 0.663916i | ||||
\(100\) | 20.4915 | + | 17.8325i | 2.04915 | + | 1.78325i | ||||
\(101\) | 2.42421 | − | 6.66046i | 0.241218 | − | 0.662740i | −0.758718 | − | 0.651419i | \(-0.774174\pi\) |
0.999936 | − | 0.0113214i | \(-0.00360379\pi\) | |||||||
\(102\) | 8.52738 | + | 6.34538i | 0.844337 | + | 0.628286i | ||||
\(103\) | 0.499701 | + | 0.419299i | 0.0492370 | + | 0.0413148i | 0.667074 | − | 0.744991i | \(-0.267546\pi\) |
−0.617837 | + | 0.786306i | \(0.711991\pi\) | |||||||
\(104\) | 5.15691 | + | 4.56991i | 0.505677 | + | 0.448117i | ||||
\(105\) | 14.4310 | − | 0.974169i | 1.40833 | − | 0.0950691i | ||||
\(106\) | −8.87581 | + | 3.14039i | −0.862095 | + | 0.305021i | ||||
\(107\) | 9.41015i | 0.909714i | 0.890565 | + | 0.454857i | \(0.150310\pi\) | ||||
−0.890565 | + | 0.454857i | \(0.849690\pi\) | |||||||
\(108\) | −8.02526 | − | 6.60266i | −0.772231 | − | 0.635341i | ||||
\(109\) | − | 8.05215i | − | 0.771256i | −0.922654 | − | 0.385628i | \(-0.873985\pi\) | ||
0.922654 | − | 0.385628i | \(-0.126015\pi\) | |||||||
\(110\) | 4.58228 | + | 12.9511i | 0.436903 | + | 1.23484i | ||||
\(111\) | 3.11242 | + | 4.63843i | 0.295418 | + | 0.440261i | ||||
\(112\) | −4.11336 | + | 6.56693i | −0.388676 | + | 0.620517i | ||||
\(113\) | 3.60835 | + | 3.02777i | 0.339445 | + | 0.284828i | 0.796535 | − | 0.604592i | \(-0.206664\pi\) |
−0.457090 | + | 0.889420i | \(0.651108\pi\) | |||||||
\(114\) | 0.264048 | + | 0.611748i | 0.0247304 | + | 0.0572955i | ||||
\(115\) | −1.39237 | + | 3.82551i | −0.129839 | + | 0.356731i | ||||
\(116\) | 6.35946 | − | 7.30774i | 0.590461 | − | 0.678506i | ||||
\(117\) | 3.39993 | + | 6.46939i | 0.314324 | + | 0.598095i | ||||
\(118\) | 2.91363 | + | 1.09026i | 0.268222 | + | 0.100367i | ||||
\(119\) | 6.43955 | − | 5.40342i | 0.590312 | − | 0.495331i | ||||
\(120\) | −20.9284 | − | 2.82390i | −1.91049 | − | 0.257786i | ||||
\(121\) | 1.02831 | − | 5.83183i | 0.0934826 | − | 0.530166i | ||||
\(122\) | 14.4320 | + | 0.129850i | 1.30661 | + | 0.0117561i | ||||
\(123\) | 7.84831 | − | 10.7477i | 0.707658 | − | 0.969087i | ||||
\(124\) | −7.26598 | + | 12.0778i | −0.652504 | + | 1.08462i | ||||
\(125\) | 32.0388 | + | 18.4976i | 2.86564 | + | 1.65448i | ||||
\(126\) | −6.54586 | + | 4.97007i | −0.583151 | + | 0.442769i | ||||
\(127\) | 2.04718 | + | 3.54582i | 0.181658 | + | 0.314641i | 0.942445 | − | 0.334361i | \(-0.108520\pi\) |
−0.760787 | + | 0.649001i | \(0.775187\pi\) | |||||||
\(128\) | 7.80337 | − | 8.19191i | 0.689727 | − | 0.724070i | ||||
\(129\) | −0.578462 | − | 2.34414i | −0.0509308 | − | 0.206390i | ||||
\(130\) | 12.7942 | + | 7.54105i | 1.12213 | + | 0.661394i | ||||
\(131\) | −3.53882 | − | 9.72282i | −0.309188 | − | 0.849487i | −0.992815 | − | 0.119656i | \(-0.961821\pi\) |
0.683627 | − | 0.729831i | \(-0.260401\pi\) | |||||||
\(132\) | −6.22050 | − | 4.71633i | −0.541425 | − | 0.410504i | ||||
\(133\) | 0.518946 | − | 0.0915042i | 0.0449984 | − | 0.00793442i | ||||
\(134\) | −3.26180 | − | 19.5242i | −0.281777 | − | 1.68663i | ||||
\(135\) | −19.7007 | − | 10.6585i | −1.69556 | − | 0.917334i | ||||
\(136\) | −10.7910 | + | 5.84768i | −0.925317 | + | 0.501434i | ||||
\(137\) | −2.27802 | − | 12.9193i | −0.194624 | − | 1.10377i | −0.912953 | − | 0.408064i | \(-0.866204\pi\) |
0.718329 | − | 0.695703i | \(-0.244907\pi\) | |||||||
\(138\) | −0.533996 | − | 2.25082i | −0.0454568 | − | 0.191603i | ||||
\(139\) | −4.57577 | − | 12.5718i | −0.388112 | − | 1.06633i | −0.967851 | − | 0.251526i | \(-0.919068\pi\) |
0.579739 | − | 0.814802i | \(-0.303155\pi\) | |||||||
\(140\) | −5.99370 | + | 15.5889i | −0.506560 | + | 1.31750i | ||||
\(141\) | 13.3537 | + | 13.8951i | 1.12459 | + | 1.17018i | ||||
\(142\) | −13.2429 | − | 2.45813i | −1.11132 | − | 0.206282i | ||||
\(143\) | 2.74489 | + | 4.75430i | 0.229540 | + | 0.397574i | ||||
\(144\) | 10.8164 | − | 5.19670i | 0.901366 | − | 0.433058i | ||||
\(145\) | 10.4399 | − | 18.0824i | 0.866985 | − | 1.50166i | ||||
\(146\) | 3.63250 | − | 4.25079i | 0.300628 | − | 0.351798i | ||||
\(147\) | −2.27524 | − | 5.14361i | −0.187659 | − | 0.424238i | ||||
\(148\) | −6.37117 | + | 1.00556i | −0.523707 | + | 0.0826567i | ||||
\(149\) | −13.0376 | − | 2.29888i | −1.06808 | − | 0.188331i | −0.388141 | − | 0.921600i | \(-0.626883\pi\) |
−0.679939 | + | 0.733268i | \(0.737994\pi\) | |||||||
\(150\) | −33.2127 | + | 1.94202i | −2.71180 | + | 0.158565i | ||||
\(151\) | −4.42998 | + | 3.71720i | −0.360507 | + | 0.302501i | −0.804993 | − | 0.593285i | \(-0.797831\pi\) |
0.444486 | + | 0.895786i | \(0.353386\pi\) | |||||||
\(152\) | −0.769098 | − | 0.0207641i | −0.0623821 | − | 0.00168419i | ||||
\(153\) | −12.9000 | + | 1.74960i | −1.04290 | + | 0.141447i | ||||
\(154\) | −4.76485 | + | 3.92567i | −0.383962 | + | 0.316340i | ||||
\(155\) | −10.3904 | + | 28.5475i | −0.834580 | + | 2.29299i | ||||
\(156\) | −8.42870 | + | 0.416789i | −0.674836 | + | 0.0333698i | ||||
\(157\) | −0.326703 | + | 0.389349i | −0.0260737 | + | 0.0310735i | −0.778924 | − | 0.627119i | \(-0.784234\pi\) |
0.752850 | + | 0.658192i | \(0.228679\pi\) | |||||||
\(158\) | 12.6203 | − | 7.13569i | 1.00401 | − | 0.567685i | ||||
\(159\) | 5.07980 | − | 10.3517i | 0.402855 | − | 0.820946i | ||||
\(160\) | 13.1299 | − | 20.5484i | 1.03801 | − | 1.62449i | ||||
\(161\) | −1.82950 | −0.144185 | ||||||||
\(162\) | 12.6808 | − | 1.09428i | 0.996297 | − | 0.0859750i | ||||
\(163\) | 7.19435i | 0.563505i | 0.959487 | + | 0.281752i | \(0.0909157\pi\) | ||||
−0.959487 | + | 0.281752i | \(0.909084\pi\) | |||||||
\(164\) | 7.44280 | + | 13.4443i | 0.581185 | + | 1.04982i | ||||
\(165\) | −15.1047 | − | 7.41218i | −1.17590 | − | 0.577037i | ||||
\(166\) | 2.65427 | + | 4.69437i | 0.206011 | + | 0.364354i | ||||
\(167\) | 9.88731 | + | 8.29644i | 0.765103 | + | 0.641998i | 0.939450 | − | 0.342687i | \(-0.111337\pi\) |
−0.174347 | + | 0.984684i | \(0.555781\pi\) | |||||||
\(168\) | −2.02422 | − | 9.27195i | −0.156172 | − | 0.715346i | ||||
\(169\) | −6.63918 | − | 2.41647i | −0.510707 | − | 0.185882i | ||||
\(170\) | −20.4170 | + | 16.8212i | −1.56591 | + | 1.29013i | ||||
\(171\) | −0.755145 | − | 0.309341i | −0.0577474 | − | 0.0236559i | ||||
\(172\) | 2.73647 | + | 0.533452i | 0.208654 | + | 0.0406753i | ||||
\(173\) | −6.41782 | − | 7.64846i | −0.487938 | − | 0.581502i | 0.464754 | − | 0.885440i | \(-0.346143\pi\) |
−0.952692 | + | 0.303938i | \(0.901698\pi\) | |||||||
\(174\) | 0.692566 | + | 11.8444i | 0.0525033 | + | 0.897919i | ||||
\(175\) | −4.56894 | + | 25.9118i | −0.345379 | + | 1.95874i | ||||
\(176\) | 7.96342 | − | 4.22318i | 0.600265 | − | 0.318334i | ||||
\(177\) | −3.48443 | + | 1.54131i | −0.261906 | + | 0.115852i | ||||
\(178\) | 12.1498 | − | 14.2178i | 0.910668 | − | 1.06567i | ||||
\(179\) | −17.4094 | − | 10.0513i | −1.30124 | − | 0.751269i | −0.320620 | − | 0.947208i | \(-0.603891\pi\) |
−0.980616 | + | 0.195939i | \(0.937225\pi\) | |||||||
\(180\) | 20.7393 | − | 15.4545i | 1.54581 | − | 1.15191i | ||||
\(181\) | 0.458398 | − | 0.264656i | 0.0340725 | − | 0.0196717i | −0.482867 | − | 0.875694i | \(-0.660405\pi\) |
0.516939 | + | 0.856022i | \(0.327071\pi\) | |||||||
\(182\) | −1.21803 | + | 6.56199i | −0.0902864 | + | 0.486407i | ||||
\(183\) | −12.7448 | + | 12.2482i | −0.942119 | + | 0.905416i | ||||
\(184\) | 2.61711 | + | 0.534669i | 0.192936 | + | 0.0394163i | ||||
\(185\) | −13.0637 | + | 4.75480i | −0.960463 | + | 0.349580i | ||||
\(186\) | −3.98489 | − | 16.7965i | −0.292186 | − | 1.23158i | ||||
\(187\) | −9.63013 | + | 1.69805i | −0.704225 | + | 0.124174i | ||||
\(188\) | −21.0445 | + | 7.23346i | −1.53483 | + | 0.527554i | ||||
\(189\) | 1.47296 | − | 9.95767i | 0.107142 | − | 0.724314i | ||||
\(190\) | −1.63561 | + | 0.273253i | −0.118660 | + | 0.0198239i | ||||
\(191\) | −4.10005 | − | 23.2525i | −0.296669 | − | 1.68250i | −0.660339 | − | 0.750967i | \(-0.729588\pi\) |
0.363670 | − | 0.931528i | \(-0.381524\pi\) | |||||||
\(192\) | 0.185947 | + | 13.8552i | 0.0134196 | + | 0.999910i | ||||
\(193\) | −5.55540 | + | 2.02200i | −0.399886 | + | 0.145547i | −0.534132 | − | 0.845401i | \(-0.679361\pi\) |
0.134245 | + | 0.990948i | \(0.457139\pi\) | |||||||
\(194\) | 0.917527 | + | 0.540799i | 0.0658746 | + | 0.0388271i | ||||
\(195\) | −17.6593 | + | 4.35777i | −1.26461 | + | 0.312066i | ||||
\(196\) | 6.49341 | + | 0.116857i | 0.463815 | + | 0.00834691i | ||||
\(197\) | −5.33579 | + | 3.08062i | −0.380159 | + | 0.219485i | −0.677888 | − | 0.735166i | \(-0.737104\pi\) |
0.297728 | + | 0.954651i | \(0.403771\pi\) | |||||||
\(198\) | 9.48518 | − | 1.19965i | 0.674082 | − | 0.0852555i | ||||
\(199\) | 4.28986 | − | 7.43026i | 0.304100 | − | 0.526717i | −0.672960 | − | 0.739678i | \(-0.734978\pi\) |
0.977061 | + | 0.212962i | \(0.0683109\pi\) | |||||||
\(200\) | 14.1086 | − | 35.7317i | 0.997627 | − | 2.52661i | ||||
\(201\) | 19.5790 | + | 14.2972i | 1.38100 | + | 1.00845i | ||||
\(202\) | −10.0234 | − | 0.0901845i | −0.705245 | − | 0.00634536i | ||||
\(203\) | 9.24070 | + | 1.62938i | 0.648570 | + | 0.114360i | ||||
\(204\) | 4.43733 | − | 14.3621i | 0.310675 | − | 1.00555i | ||||
\(205\) | 21.2900 | + | 25.3724i | 1.48696 | + | 1.77209i | ||||
\(206\) | 0.323304 | − | 0.864002i | 0.0225256 | − | 0.0601979i | ||||
\(207\) | 2.39542 | + | 1.51293i | 0.166493 | + | 0.105156i | ||||
\(208\) | 3.66013 | − | 9.03101i | 0.253785 | − | 0.626188i | ||||
\(209\) | −0.576018 | − | 0.209653i | −0.0398440 | − | 0.0145020i | ||||
\(210\) | −8.10610 | − | 18.7803i | −0.559374 | − | 1.29596i | ||||
\(211\) | 9.22969 | − | 10.9995i | 0.635398 | − | 0.757238i | −0.348238 | − | 0.937406i | \(-0.613220\pi\) |
0.983636 | + | 0.180168i | \(0.0576643\pi\) | |||||||
\(212\) | 8.37368 | + | 10.3521i | 0.575106 | + | 0.710983i | ||||
\(213\) | 13.6982 | − | 9.19157i | 0.938583 | − | 0.629796i | ||||
\(214\) | 12.5458 | − | 4.43890i | 0.857616 | − | 0.303437i | ||||
\(215\) | 6.00908 | 0.409816 | ||||||||
\(216\) | −5.01720 | + | 13.8140i | −0.341377 | + | 0.939926i | ||||
\(217\) | −13.6524 | −0.926788 | ||||||||
\(218\) | −10.7353 | + | 3.79831i | −0.727088 | + | 0.257254i | ||||
\(219\) | 0.461231 | + | 6.83254i | 0.0311671 | + | 0.461701i | ||||
\(220\) | 15.1052 | − | 12.2184i | 1.01839 | − | 0.823765i | ||||
\(221\) | −6.79506 | + | 8.09804i | −0.457085 | + | 0.544733i | ||||
\(222\) | 4.71590 | − | 6.33757i | 0.316510 | − | 0.425350i | ||||
\(223\) | 5.15150 | + | 1.87499i | 0.344970 | + | 0.125559i | 0.508694 | − | 0.860947i | \(-0.330128\pi\) |
−0.163724 | + | 0.986506i | \(0.552351\pi\) | |||||||
\(224\) | 10.6955 | + | 2.38632i | 0.714625 | + | 0.159443i | ||||
\(225\) | 27.4104 | − | 30.1488i | 1.82736 | − | 2.00992i | ||||
\(226\) | 2.33458 | − | 6.23898i | 0.155294 | − | 0.415011i | ||||
\(227\) | −3.41637 | − | 4.07147i | −0.226753 | − | 0.270233i | 0.640658 | − | 0.767826i | \(-0.278662\pi\) |
−0.867411 | + | 0.497593i | \(0.834217\pi\) | |||||||
\(228\) | 0.691043 | − | 0.640605i | 0.0457654 | − | 0.0424251i | ||||
\(229\) | 4.28769 | + | 0.756035i | 0.283338 | + | 0.0499602i | 0.313511 | − | 0.949585i | \(-0.398495\pi\) |
−0.0301729 | + | 0.999545i | \(0.509606\pi\) | |||||||
\(230\) | 5.75707 | + | 0.0517986i | 0.379610 | + | 0.00341550i | ||||
\(231\) | 0.808486 | − | 7.51787i | 0.0531945 | − | 0.494640i | ||||
\(232\) | −12.7427 | − | 5.03143i | −0.836599 | − | 0.330330i | ||||
\(233\) | −8.33718 | + | 14.4404i | −0.546187 | + | 0.946024i | 0.452344 | + | 0.891843i | \(0.350588\pi\) |
−0.998531 | + | 0.0541801i | \(0.982745\pi\) | |||||||
\(234\) | 7.02135 | − | 7.58457i | 0.459000 | − | 0.495819i | ||||
\(235\) | −41.5371 | + | 23.9815i | −2.70958 | + | 1.56438i | ||||
\(236\) | 0.0791621 | − | 4.39882i | 0.00515301 | − | 0.286339i | ||||
\(237\) | −4.93541 | + | 17.0565i | −0.320589 | + | 1.10794i | ||||
\(238\) | −10.2416 | − | 6.03649i | −0.663864 | − | 0.391288i | ||||
\(239\) | −2.84076 | + | 1.03395i | −0.183754 | + | 0.0668808i | −0.432258 | − | 0.901750i | \(-0.642283\pi\) |
0.248505 | + | 0.968631i | \(0.420061\pi\) | |||||||
\(240\) | 6.10732 | + | 29.2343i | 0.394226 | + | 1.88707i | ||||
\(241\) | 4.39201 | + | 24.9083i | 0.282914 | + | 1.60449i | 0.712641 | + | 0.701529i | \(0.247499\pi\) |
−0.429727 | + | 0.902959i | \(0.641390\pi\) | |||||||
\(242\) | −8.26020 | + | 1.37999i | −0.530986 | + | 0.0887089i | ||||
\(243\) | −10.1633 | + | 11.8198i | −0.651973 | + | 0.758242i | ||||
\(244\) | −6.63464 | − | 19.3023i | −0.424739 | − | 1.23570i | ||||
\(245\) | 13.7852 | − | 2.43070i | 0.880703 | − | 0.155292i | ||||
\(246\) | −18.0312 | − | 5.39372i | −1.14963 | − | 0.343891i | ||||
\(247\) | −0.622703 | + | 0.226645i | −0.0396217 | + | 0.0144211i | ||||
\(248\) | 19.5299 | + | 3.98991i | 1.24015 | + | 0.253360i | ||||
\(249\) | −6.34454 | − | 1.83583i | −0.402069 | − | 0.116341i | ||||
\(250\) | 9.54832 | − | 51.4405i | 0.603889 | − | 3.25338i | ||||
\(251\) | 22.1501 | − | 12.7884i | 1.39810 | − | 0.807196i | 0.403911 | − | 0.914798i | \(-0.367651\pi\) |
0.994194 | + | 0.107602i | \(0.0343173\pi\) | |||||||
\(252\) | 9.71399 | + | 6.38265i | 0.611924 | + | 0.402069i | ||||
\(253\) | 1.84307 | + | 1.06410i | 0.115873 | + | 0.0668992i | ||||
\(254\) | 3.76169 | − | 4.40196i | 0.236029 | − | 0.276204i | ||||
\(255\) | 3.46429 | − | 32.2135i | 0.216943 | − | 2.01729i | ||||
\(256\) | −14.6026 | − | 6.53940i | −0.912663 | − | 0.408713i | ||||
\(257\) | −2.26557 | + | 12.8487i | −0.141322 | + | 0.801477i | 0.828925 | + | 0.559360i | \(0.188953\pi\) |
−0.970247 | + | 0.242117i | \(0.922158\pi\) | |||||||
\(258\) | −2.85240 | + | 1.87698i | −0.177583 | + | 0.116856i | ||||
\(259\) | −4.01583 | − | 4.78589i | −0.249532 | − | 0.297380i | ||||
\(260\) | 4.01869 | − | 20.6148i | 0.249229 | − | 1.27848i | ||||
\(261\) | −10.7517 | − | 9.77515i | −0.665515 | − | 0.605067i | ||||
\(262\) | −11.2934 | + | 9.30442i | −0.697708 | + | 0.574829i | ||||
\(263\) | −16.7118 | − | 6.08261i | −1.03049 | − | 0.375069i | −0.229226 | − | 0.973373i | \(-0.573619\pi\) |
−0.801269 | + | 0.598304i | \(0.795842\pi\) | |||||||
\(264\) | −3.35363 | + | 10.5181i | −0.206402 | + | 0.647343i | ||||
\(265\) | 21.9840 | + | 18.4468i | 1.35047 | + | 1.13318i | ||||
\(266\) | −0.366790 | − | 0.648708i | −0.0224893 | − | 0.0397748i | ||||
\(267\) | 1.54271 | + | 22.8532i | 0.0944121 | + | 1.39859i | ||||
\(268\) | −24.4915 | + | 13.5585i | −1.49606 | + | 0.828219i | ||||
\(269\) | − | 2.65768i | − | 0.162042i | −0.996712 | − | 0.0810209i | \(-0.974182\pi\) | ||
0.996712 | − | 0.0810209i | \(-0.0258181\pi\) | |||||||
\(270\) | −4.91705 | + | 31.2931i | −0.299242 | + | 1.90444i | ||||
\(271\) | 7.53322 | 0.457610 | 0.228805 | − | 0.973472i | \(-0.426518\pi\) | ||||
0.228805 | + | 0.973472i | \(0.426518\pi\) | |||||||
\(272\) | 12.8865 | + | 11.6283i | 0.781359 | + | 0.705072i | ||||
\(273\) | −4.55452 | − | 6.78759i | −0.275652 | − | 0.410804i | ||||
\(274\) | −16.1497 | + | 9.13130i | −0.975640 | + | 0.551642i | ||||
\(275\) | 19.6740 | − | 23.4465i | 1.18638 | − | 1.41388i | ||||
\(276\) | −2.74895 | + | 1.77368i | −0.165468 | + | 0.106763i | ||||
\(277\) | −6.57330 | + | 18.0600i | −0.394952 | + | 1.08512i | 0.569760 | + | 0.821811i | \(0.307036\pi\) |
−0.964711 | + | 0.263309i | \(0.915186\pi\) | |||||||
\(278\) | −14.6026 | + | 12.0308i | −0.875806 | + | 0.721561i | ||||
\(279\) | 17.8756 | + | 11.2901i | 1.07018 | + | 0.675920i | ||||
\(280\) | 23.6108 | + | 0.637444i | 1.41102 | + | 0.0380946i | ||||
\(281\) | −0.190536 | + | 0.159879i | −0.0113664 | + | 0.00953758i | −0.648453 | − | 0.761255i | \(-0.724584\pi\) |
0.637087 | + | 0.770792i | \(0.280139\pi\) | |||||||
\(282\) | 12.2261 | − | 24.3580i | 0.728053 | − | 1.45050i | ||||
\(283\) | 9.81905 | + | 1.73136i | 0.583682 | + | 0.102919i | 0.457689 | − | 0.889112i | \(-0.348677\pi\) |
0.125993 | + | 0.992031i | \(0.459788\pi\) | |||||||
\(284\) | 2.96961 | + | 18.8153i | 0.176214 | + | 1.11648i | ||||
\(285\) | 1.19773 | − | 1.64021i | 0.0709475 | − | 0.0971576i | ||||
\(286\) | 5.04374 | − | 5.90222i | 0.298242 | − | 0.349006i | ||||
\(287\) | −7.44227 | + | 12.8904i | −0.439303 | + | 0.760896i | ||||
\(288\) | −12.0306 | − | 11.9693i | −0.708910 | − | 0.705299i | ||||
\(289\) | −0.915012 | − | 1.58485i | −0.0538242 | − | 0.0932263i | ||||
\(290\) | −29.0325 | − | 5.38899i | −1.70485 | − | 0.316452i | ||||
\(291\) | −1.26642 | + | 0.312513i | −0.0742387 | + | 0.0183198i | ||||
\(292\) | −7.38075 | − | 2.83779i | −0.431926 | − | 0.166069i | ||||
\(293\) | −6.01896 | − | 16.5370i | −0.351631 | − | 0.966099i | −0.981846 | − | 0.189679i | \(-0.939255\pi\) |
0.630215 | − | 0.776421i | \(-0.282967\pi\) | |||||||
\(294\) | −5.78432 | + | 5.45972i | −0.337349 | + | 0.318417i | ||||
\(295\) | −1.64663 | − | 9.33847i | −0.0958702 | − | 0.543707i | ||||
\(296\) | 4.34601 | + | 8.01986i | 0.252607 | + | 0.466145i | ||||
\(297\) | −7.27560 | + | 9.17481i | −0.422173 | + | 0.532377i | ||||
\(298\) | 3.08509 | + | 18.4664i | 0.178714 | + | 1.06973i | ||||
\(299\) | 2.26573 | − | 0.399509i | 0.131030 | − | 0.0231042i | ||||
\(300\) | 18.2560 | + | 43.3638i | 1.05401 | + | 2.50361i | ||||
\(301\) | 0.923607 | + | 2.53759i | 0.0532358 | + | 0.146264i | ||||
\(302\) | 7.04554 | + | 4.15271i | 0.405425 | + | 0.238962i | ||||
\(303\) | 8.85160 | − | 8.50675i | 0.508511 | − | 0.488700i | ||||
\(304\) | 0.335111 | + | 1.03517i | 0.0192199 | + | 0.0593713i | ||||
\(305\) | −21.9961 | − | 38.0984i | −1.25950 | − | 2.18151i | ||||
\(306\) | 8.41770 | + | 16.3732i | 0.481208 | + | 0.935996i | ||||
\(307\) | −6.49178 | − | 3.74803i | −0.370505 | − | 0.213911i | 0.303174 | − | 0.952935i | \(-0.401954\pi\) |
−0.673679 | + | 0.739024i | \(0.735287\pi\) | |||||||
\(308\) | 7.48145 | + | 4.50082i | 0.426295 | + | 0.256458i | ||||
\(309\) | 0.457058 | + | 1.03326i | 0.0260011 | + | 0.0587804i | ||||
\(310\) | 42.9615 | + | 0.386541i | 2.44005 | + | 0.0219541i | ||||
\(311\) | 3.77497 | − | 21.4089i | 0.214059 | − | 1.21399i | −0.668473 | − | 0.743736i | \(-0.733052\pi\) |
0.882532 | − | 0.470252i | \(-0.155837\pi\) | |||||||
\(312\) | 4.53161 | + | 11.0407i | 0.256552 | + | 0.625059i | ||||
\(313\) | −8.32407 | + | 6.98473i | −0.470504 | + | 0.394800i | −0.846979 | − | 0.531627i | \(-0.821581\pi\) |
0.376474 | + | 0.926427i | \(0.377136\pi\) | |||||||
\(314\) | 0.673200 | + | 0.251907i | 0.0379909 | + | 0.0142159i | ||||
\(315\) | 23.1825 | + | 9.49658i | 1.30618 | + | 0.535072i | ||||
\(316\) | −15.4666 | − | 13.4596i | −0.870066 | − | 0.757163i | ||||
\(317\) | −5.72873 | + | 15.7395i | −0.321757 | + | 0.884021i | 0.668367 | + | 0.743831i | \(0.266993\pi\) |
−0.990125 | + | 0.140190i | \(0.955229\pi\) | |||||||
\(318\) | −16.1974 | − | 1.88946i | −0.908305 | − | 0.105956i | ||||
\(319\) | −8.36154 | − | 7.01617i | −0.468157 | − | 0.392830i | ||||
\(320\) | −33.5891 | − | 7.81210i | −1.87769 | − | 0.436710i | ||||
\(321\) | −7.18024 | + | 14.6321i | −0.400762 | + | 0.816682i | ||||
\(322\) | 0.862999 | + | 2.43913i | 0.0480930 | + | 0.135927i | ||||
\(323\) | − | 1.18038i | − | 0.0656779i | ||||||
\(324\) | −7.44063 | − | 16.3902i | −0.413368 | − | 0.910564i | ||||
\(325\) | − | 33.0879i | − | 1.83539i | ||||||
\(326\) | 9.59168 | − | 3.39367i | 0.531234 | − | 0.187958i | ||||
\(327\) | 6.14404 | − | 12.5205i | 0.339766 | − | 0.692383i | ||||
\(328\) | 14.4134 | − | 16.2648i | 0.795848 | − | 0.898073i | ||||
\(329\) | −16.5115 | − | 13.8548i | −0.910310 | − | 0.763841i | ||||
\(330\) | −2.75700 | + | 23.6344i | −0.151768 | + | 1.30103i | ||||
\(331\) | 7.47470 | − | 20.5366i | 0.410846 | − | 1.12879i | −0.545895 | − | 0.837853i | \(-0.683810\pi\) |
0.956742 | − | 0.290938i | \(-0.0939673\pi\) | |||||||
\(332\) | 5.00659 | − | 5.75314i | 0.274772 | − | 0.315744i | ||||
\(333\) | 1.30031 | + | 9.58728i | 0.0712563 | + | 0.525380i | ||||
\(334\) | 6.39703 | − | 17.0955i | 0.350030 | − | 0.935427i | ||||
\(335\) | −46.2208 | + | 38.7839i | −2.52531 | + | 2.11899i | ||||
\(336\) | −11.4067 | + | 7.07245i | −0.622288 | + | 0.385834i | ||||
\(337\) | 4.16258 | − | 23.6072i | 0.226750 | − | 1.28596i | −0.632560 | − | 0.774511i | \(-0.717996\pi\) |
0.859311 | − | 0.511454i | \(-0.170893\pi\) | |||||||
\(338\) | −0.0898964 | + | 9.99140i | −0.00488972 | + | 0.543461i | ||||
\(339\) | 3.30043 | + | 7.46123i | 0.179255 | + | 0.405238i | ||||
\(340\) | 32.0574 | + | 19.2856i | 1.73856 | + | 1.04591i | ||||
\(341\) | 13.7537 | + | 7.94071i | 0.744805 | + | 0.430014i | ||||
\(342\) | −0.0562090 | + | 1.15270i | −0.00303944 | + | 0.0623308i | ||||
\(343\) | 9.92550 | + | 17.1915i | 0.535927 | + | 0.928252i | ||||
\(344\) | −0.579618 | − | 3.89996i | −0.0312509 | − | 0.210272i | ||||
\(345\) | −5.08402 | + | 4.88595i | −0.273714 | + | 0.263051i | ||||
\(346\) | −7.16974 | + | 12.1643i | −0.385448 | + | 0.653956i | ||||
\(347\) | −1.80156 | − | 4.94973i | −0.0967126 | − | 0.265716i | 0.881897 | − | 0.471442i | \(-0.156266\pi\) |
−0.978609 | + | 0.205727i | \(0.934044\pi\) | |||||||
\(348\) | 15.4645 | − | 6.51049i | 0.828984 | − | 0.348999i | ||||
\(349\) | 7.39074 | − | 1.30319i | 0.395617 | − | 0.0697580i | 0.0276995 | − | 0.999616i | \(-0.491182\pi\) |
0.367918 | + | 0.929858i | \(0.380071\pi\) | |||||||
\(350\) | 36.7014 | − | 6.13150i | 1.96177 | − | 0.327743i | ||||
\(351\) | 0.350286 | + | 12.6537i | 0.0186969 | + | 0.675402i | ||||
\(352\) | −9.38690 | − | 8.62489i | −0.500323 | − | 0.459708i | ||||
\(353\) | 1.13055 | + | 6.41168i | 0.0601733 | + | 0.341259i | 1.00000 | 0.000392154i | \(-0.000124827\pi\) | |
−0.939827 | + | 0.341652i | \(0.889014\pi\) | |||||||
\(354\) | 3.69857 | + | 3.91846i | 0.196577 | + | 0.208264i | ||||
\(355\) | 14.0418 | + | 38.5796i | 0.745262 | + | 2.04759i | ||||
\(356\) | −24.6868 | − | 9.49170i | −1.30840 | − | 0.503059i | ||||
\(357\) | 14.1360 | − | 3.48833i | 0.748155 | − | 0.184622i | ||||
\(358\) | −5.18840 | + | 27.9519i | −0.274215 | + | 1.47730i | ||||
\(359\) | 1.50663 | + | 2.60956i | 0.0795168 | + | 0.137727i | 0.903042 | − | 0.429553i | \(-0.141329\pi\) |
−0.823525 | + | 0.567280i | \(0.807996\pi\) | |||||||
\(360\) | −30.3873 | − | 20.3600i | −1.60155 | − | 1.07306i | ||||
\(361\) | −9.46300 | + | 16.3904i | −0.498053 | + | 0.862653i | ||||
\(362\) | −0.569079 | − | 0.486305i | −0.0299101 | − | 0.0255596i | ||||
\(363\) | 6.04881 | − | 8.28341i | 0.317480 | − | 0.434766i | ||||
\(364\) | 9.32317 | − | 1.47147i | 0.488667 | − | 0.0771262i | ||||
\(365\) | −16.7845 | − | 2.95956i | −0.878542 | − | 0.154911i | ||||
\(366\) | 22.3415 | + | 11.2140i | 1.16781 | + | 0.586163i | ||||
\(367\) | 16.2364 | − | 13.6239i | 0.847532 | − | 0.711164i | −0.111712 | − | 0.993741i | \(-0.535634\pi\) |
0.959245 | + | 0.282576i | \(0.0911891\pi\) | |||||||
\(368\) | −0.521692 | − | 3.74140i | −0.0271951 | − | 0.195034i | ||||
\(369\) | 20.4043 | − | 10.7233i | 1.06221 | − | 0.558234i | ||||
\(370\) | 12.5015 | + | 15.1739i | 0.649924 | + | 0.788856i | ||||
\(371\) | −4.41095 | + | 12.1190i | −0.229005 | + | 0.629187i | ||||
\(372\) | −20.5138 | + | 13.2359i | −1.06359 | + | 0.686249i | ||||
\(373\) | −5.65541 | + | 6.73986i | −0.292826 | + | 0.348977i | −0.892321 | − | 0.451402i | \(-0.850924\pi\) |
0.599494 | + | 0.800379i | \(0.295368\pi\) | |||||||
\(374\) | 6.80655 | + | 12.0381i | 0.351958 | + | 0.622477i | ||||
\(375\) | 35.7036 | + | 53.2089i | 1.84373 | + | 2.74770i | ||||
\(376\) | 19.5708 | + | 24.6449i | 1.00929 | + | 1.27096i | ||||
\(377\) | −11.7999 | −0.607725 | ||||||||
\(378\) | −13.9706 | + | 2.73338i | −0.718571 | + | 0.140590i | ||||
\(379\) | − | 18.0964i | − | 0.929552i | −0.885428 | − | 0.464776i | \(-0.846135\pi\) | ||
0.885428 | − | 0.464776i | \(-0.153865\pi\) | |||||||
\(380\) | 1.13585 | + | 2.05174i | 0.0582678 | + | 0.105252i | ||||
\(381\) | 0.477635 | + | 7.07554i | 0.0244700 | + | 0.362491i | ||||
\(382\) | −29.0668 | + | 16.4348i | −1.48719 | + | 0.840879i | ||||
\(383\) | −9.21179 | − | 7.72961i | −0.470700 | − | 0.394964i | 0.376350 | − | 0.926478i | \(-0.377179\pi\) |
−0.847050 | + | 0.531513i | \(0.821624\pi\) | |||||||
\(384\) | 18.3843 | − | 6.78358i | 0.938171 | − | 0.346173i | ||||
\(385\) | 17.6834 | + | 6.43622i | 0.901229 | + | 0.328020i | ||||
\(386\) | 5.31634 | + | 6.45279i | 0.270594 | + | 0.328438i | ||||
\(387\) | 0.889189 | − | 4.08634i | 0.0452000 | − | 0.207720i | ||||
\(388\) | 0.288196 | − | 1.47837i | 0.0146310 | − | 0.0750529i | ||||
\(389\) | −15.2539 | − | 18.1789i | −0.773402 | − | 0.921704i | 0.225214 | − | 0.974309i | \(-0.427692\pi\) |
−0.998615 | + | 0.0526049i | \(0.983248\pi\) | |||||||
\(390\) | 14.1400 | + | 21.4882i | 0.716007 | + | 1.08810i | ||||
\(391\) | −0.711625 | + | 4.03583i | −0.0359884 | + | 0.204101i | ||||
\(392\) | −2.90723 | − | 8.71229i | −0.146837 | − | 0.440037i | ||||
\(393\) | 1.91623 | − | 17.8185i | 0.0966610 | − | 0.898822i | ||||
\(394\) | 6.62412 | + | 5.66063i | 0.333718 | + | 0.285179i | ||||
\(395\) | −38.2709 | − | 22.0957i | −1.92562 | − | 1.11176i | ||||
\(396\) | −6.07369 | − | 12.0800i | −0.305214 | − | 0.607041i | ||||
\(397\) | 5.54537 | − | 3.20162i | 0.278314 | − | 0.160685i | −0.354346 | − | 0.935114i | \(-0.615296\pi\) |
0.632660 | + | 0.774430i | \(0.281963\pi\) | |||||||
\(398\) | −11.9298 | − | 2.21439i | −0.597986 | − | 0.110997i | ||||
\(399\) | 0.876742 | + | 0.253690i | 0.0438920 | + | 0.0127004i | ||||
\(400\) | −54.2935 | − | 1.95479i | −2.71468 | − | 0.0977395i | ||||
\(401\) | 20.5174 | − | 7.46773i | 1.02459 | − | 0.372920i | 0.225572 | − | 0.974227i | \(-0.427575\pi\) |
0.799019 | + | 0.601306i | \(0.205353\pi\) | |||||||
\(402\) | 9.82572 | − | 32.8475i | 0.490062 | − | 1.63828i | ||||
\(403\) | 16.9078 | − | 2.98129i | 0.842235 | − | 0.148509i | ||||
\(404\) | 4.60795 | + | 13.4060i | 0.229254 | + | 0.666974i | ||||
\(405\) | −22.5002 | − | 31.6053i | −1.11805 | − | 1.57048i | ||||
\(406\) | −2.18663 | − | 13.0885i | −0.108521 | − | 0.649573i | ||||
\(407\) | 1.26200 | + | 7.15713i | 0.0625548 | + | 0.354766i | ||||
\(408\) | −21.2411 | + | 0.858849i | −1.05159 | + | 0.0425194i | ||||
\(409\) | 6.39144 | − | 2.32629i | 0.316036 | − | 0.115028i | −0.179132 | − | 0.983825i | \(-0.557329\pi\) |
0.495168 | + | 0.868797i | \(0.335107\pi\) | |||||||
\(410\) | 23.7843 | − | 40.3528i | 1.17462 | − | 1.99288i | ||||
\(411\) | 6.31567 | − | 21.8267i | 0.311529 | − | 1.07663i | ||||
\(412\) | −1.30442 | − | 0.0234745i | −0.0642639 | − | 0.00115651i | ||||
\(413\) | 3.69048 | − | 2.13070i | 0.181597 | − | 0.104845i | ||||
\(414\) | 0.887123 | − | 3.90731i | 0.0435997 | − | 0.192034i | ||||
\(415\) | 8.21897 | − | 14.2357i | 0.403453 | − | 0.698802i | ||||
\(416\) | −13.7669 | − | 0.619731i | −0.674977 | − | 0.0303848i | ||||
\(417\) | 2.47773 | − | 23.0397i | 0.121335 | − | 1.12826i | ||||
\(418\) | −0.00779945 | + | 0.866857i | −0.000381483 | + | 0.0423994i | ||||
\(419\) | 20.3076 | + | 3.58078i | 0.992092 | + | 0.174933i | 0.646057 | − | 0.763289i | \(-0.276417\pi\) |
0.346035 | + | 0.938222i | \(0.387528\pi\) | |||||||
\(420\) | −21.2146 | + | 19.6662i | −1.03516 | + | 0.959611i | ||||
\(421\) | −6.16463 | − | 7.34672i | −0.300446 | − | 0.358057i | 0.594608 | − | 0.804016i | \(-0.297307\pi\) |
−0.895054 | + | 0.445958i | \(0.852863\pi\) | |||||||
\(422\) | −19.0186 | − | 7.11662i | −0.925810 | − | 0.346432i | ||||
\(423\) | 10.1616 | + | 31.7951i | 0.494076 | + | 1.54593i | ||||
\(424\) | 9.85166 | − | 16.0472i | 0.478439 | − | 0.779321i | ||||
\(425\) | 55.3835 | + | 20.1580i | 2.68650 | + | 0.977804i | ||||
\(426\) | −18.7160 | − | 13.9269i | −0.906795 | − | 0.674762i | ||||
\(427\) | 12.7078 | − | 15.1446i | 0.614976 | − | 0.732899i | ||||
\(428\) | −11.8361 | − | 14.6325i | −0.572119 | − | 0.707290i | ||||
\(429\) | 0.640421 | + | 9.48700i | 0.0309198 | + | 0.458037i | ||||
\(430\) | −2.83456 | − | 8.01144i | −0.136695 | − | 0.386346i | ||||
\(431\) | −16.9807 | −0.817933 | −0.408967 | − | 0.912549i | \(-0.634111\pi\) | ||||
−0.408967 | + | 0.912549i | \(0.634111\pi\) | |||||||
\(432\) | 20.7839 | + | 0.172781i | 0.999965 | + | 0.00831292i | ||||
\(433\) | −2.02876 | −0.0974958 | −0.0487479 | − | 0.998811i | \(-0.515523\pi\) | ||||
−0.0487479 | + | 0.998811i | \(0.515523\pi\) | |||||||
\(434\) | 6.44004 | + | 18.2018i | 0.309132 | + | 0.873712i | ||||
\(435\) | 30.0306 | − | 20.1508i | 1.43986 | − | 0.966156i | ||||
\(436\) | 10.1280 | + | 12.5209i | 0.485043 | + | 0.599641i | ||||
\(437\) | −0.165127 | + | 0.196791i | −0.00789910 | + | 0.00941378i | ||||
\(438\) | 8.89174 | − | 3.83793i | 0.424864 | − | 0.183383i | ||||
\(439\) | −27.9596 | − | 10.1765i | −1.33444 | − | 0.485696i | −0.426382 | − | 0.904543i | \(-0.640212\pi\) |
−0.908057 | + | 0.418847i | \(0.862434\pi\) | |||||||
\(440\) | −23.4152 | − | 14.3750i | −1.11628 | − | 0.685302i | ||||
\(441\) | 0.386909 | − | 9.73400i | 0.0184242 | − | 0.463524i | ||||
\(442\) | 14.0018 | + | 5.23938i | 0.665999 | + | 0.249212i | ||||
\(443\) | 24.5717 | + | 29.2834i | 1.16744 | + | 1.39130i | 0.904496 | + | 0.426483i | \(0.140247\pi\) |
0.262939 | + | 0.964812i | \(0.415308\pi\) | |||||||
\(444\) | −10.6740 | − | 3.29783i | −0.506563 | − | 0.156508i | ||||
\(445\) | −56.1401 | − | 9.89901i | −2.66129 | − | 0.469258i | ||||
\(446\) | 0.0697528 | − | 7.75257i | 0.00330289 | − | 0.367095i | ||||
\(447\) | −18.5183 | − | 13.5227i | −0.875886 | − | 0.639600i | ||||
\(448\) | −1.86372 | − | 15.3852i | −0.0880526 | − | 0.726882i | ||||
\(449\) | 15.9987 | − | 27.7105i | 0.755023 | − | 1.30774i | −0.190340 | − | 0.981718i | \(-0.560959\pi\) |
0.945363 | − | 0.326020i | \(-0.105708\pi\) | |||||||
\(450\) | −53.1249 | − | 22.3226i | −2.50433 | − | 1.05230i | ||||
\(451\) | 14.9950 | − | 8.65734i | 0.706085 | − | 0.407658i | ||||
\(452\) | −9.41922 | − | 0.169510i | −0.443043 | − | 0.00797309i | ||||
\(453\) | −9.72462 | + | 2.39974i | −0.456902 | + | 0.112750i | ||||
\(454\) | −3.81664 | + | 6.47536i | −0.179124 | + | 0.303904i | ||||
\(455\) | 19.1166 | − | 6.95787i | 0.896200 | − | 0.326190i | ||||
\(456\) | −1.18004 | − | 0.619132i | −0.0552606 | − | 0.0289935i | ||||
\(457\) | −1.72307 | − | 9.77199i | −0.0806016 | − | 0.457115i | −0.998219 | − | 0.0596504i | \(-0.981001\pi\) |
0.917618 | − | 0.397464i | \(-0.130110\pi\) | |||||||
\(458\) | −1.01460 | − | 6.07308i | −0.0474090 | − | 0.283776i | ||||
\(459\) | −21.3934 | − | 7.12259i | −0.998560 | − | 0.332454i | ||||
\(460\) | −2.64663 | − | 7.69990i | −0.123400 | − | 0.359010i | ||||
\(461\) | 16.9924 | − | 2.99622i | 0.791414 | − | 0.139548i | 0.236694 | − | 0.971584i | \(-0.423936\pi\) |
0.554721 | + | 0.832037i | \(0.312825\pi\) | |||||||
\(462\) | −10.4044 | + | 2.46839i | −0.484056 | + | 0.114840i | ||||
\(463\) | 16.4034 | − | 5.97033i | 0.762328 | − | 0.277465i | 0.0685445 | − | 0.997648i | \(-0.478164\pi\) |
0.693784 | + | 0.720183i | \(0.255942\pi\) | |||||||
\(464\) | −0.697121 | + | 19.3623i | −0.0323630 | + | 0.898870i | ||||
\(465\) | −37.9390 | + | 36.4609i | −1.75938 | + | 1.69083i | ||||
\(466\) | 23.1851 | + | 4.30359i | 1.07403 | + | 0.199360i | ||||
\(467\) | −30.1039 | + | 17.3805i | −1.39304 | + | 0.804272i | −0.993651 | − | 0.112509i | \(-0.964111\pi\) |
−0.399390 | + | 0.916781i | \(0.630778\pi\) | |||||||
\(468\) | −13.4240 | − | 5.78329i | −0.620525 | − | 0.267333i | ||||
\(469\) | −23.4824 | − | 13.5576i | −1.08432 | − | 0.626030i | ||||
\(470\) | 51.5663 | + | 44.0659i | 2.37857 | + | 2.03261i | ||||
\(471\) | −0.805083 | + | 0.356123i | −0.0370963 | + | 0.0164093i | ||||
\(472\) | −5.90195 | + | 1.96944i | −0.271659 | + | 0.0906509i | ||||
\(473\) | 0.545488 | − | 3.09361i | 0.0250815 | − | 0.142245i | ||||
\(474\) | 25.0683 | − | 1.46580i | 1.15142 | − | 0.0673263i | ||||
\(475\) | 2.37483 | + | 2.83021i | 0.108964 | + | 0.129859i | ||||
\(476\) | −3.21690 | + | 16.5018i | −0.147446 | + | 0.756360i | ||||
\(477\) | 15.7974 | − | 12.2201i | 0.723313 | − | 0.559520i | ||||
\(478\) | 2.71852 | + | 3.29964i | 0.124342 | + | 0.150922i | ||||
\(479\) | 14.2077 | + | 5.17118i | 0.649167 | + | 0.236277i | 0.645552 | − | 0.763716i | \(-0.276627\pi\) |
0.00361435 | + | 0.999993i | \(0.498850\pi\) | |||||||
\(480\) | 36.0950 | − | 21.9326i | 1.64750 | − | 1.00108i | ||||
\(481\) | 6.01848 | + | 5.05010i | 0.274419 | + | 0.230265i | ||||
\(482\) | 31.1366 | − | 17.6051i | 1.41823 | − | 0.801892i | ||||
\(483\) | −2.84473 | − | 1.39596i | −0.129440 | − | 0.0635186i | ||||
\(484\) | 5.73628 | + | 10.3617i | 0.260740 | + | 0.470988i | ||||
\(485\) | − | 3.24639i | − | 0.147411i | ||||||
\(486\) | 20.5526 | + | 7.97432i | 0.932286 | + | 0.361722i | ||||
\(487\) | −12.5056 | −0.566684 | −0.283342 | − | 0.959019i | \(-0.591443\pi\) | ||||
−0.283342 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(488\) | −22.6046 | + | 17.9506i | −1.02326 | + | 0.812586i | ||||
\(489\) | −5.48951 | + | 11.1867i | −0.248244 | + | 0.505878i | ||||
\(490\) | −9.74333 | − | 17.2321i | −0.440159 | − | 0.778469i | ||||
\(491\) | 3.94171 | − | 4.69755i | 0.177887 | − | 0.211997i | −0.669732 | − | 0.742603i | \(-0.733591\pi\) |
0.847619 | + | 0.530606i | \(0.178035\pi\) | |||||||
\(492\) | 1.31454 | + | 26.5840i | 0.0592643 | + | 1.19850i | ||||
\(493\) | 7.18877 | − | 19.7510i | 0.323766 | − | 0.889539i | ||||
\(494\) | 0.595907 | + | 0.723291i | 0.0268111 | + | 0.0325424i | ||||
\(495\) | −17.8309 | − | 23.0507i | −0.801440 | − | 1.03605i | ||||
\(496\) | −3.89307 | − | 27.9198i | −0.174804 | − | 1.25364i | ||||
\(497\) | −14.1336 | + | 11.8595i | −0.633979 | + | 0.531972i | ||||
\(498\) | 0.545234 | + | 9.32467i | 0.0244325 | + | 0.417849i | ||||
\(499\) | −8.94382 | − | 1.57704i | −0.400380 | − | 0.0705978i | −0.0301675 | − | 0.999545i | \(-0.509604\pi\) |
−0.370213 | + | 0.928947i | \(0.620715\pi\) | |||||||
\(500\) | −73.0857 | + | 11.5351i | −3.26849 | + | 0.515866i | ||||
\(501\) | 9.04356 | + | 20.4446i | 0.404036 | + | 0.913399i | ||||
\(502\) | −27.4983 | − | 23.4986i | −1.22731 | − | 1.04880i | ||||
\(503\) | 0.630001 | − | 1.09119i | 0.0280904 | − | 0.0486539i | −0.851638 | − | 0.524130i | \(-0.824391\pi\) |
0.879729 | + | 0.475476i | \(0.157724\pi\) | |||||||
\(504\) | 3.92728 | − | 15.9617i | 0.174935 | − | 0.710991i | ||||
\(505\) | 15.2769 | + | 26.4605i | 0.679815 | + | 1.17747i | ||||
\(506\) | 0.549278 | − | 2.95917i | 0.0244184 | − | 0.131551i | ||||
\(507\) | −8.47958 | − | 8.82332i | −0.376591 | − | 0.391857i | ||||
\(508\) | −7.64324 | − | 2.93871i | −0.339114 | − | 0.130384i | ||||
\(509\) | 5.09309 | + | 13.9931i | 0.225747 | + | 0.620235i | 0.999919 | − | 0.0127406i | \(-0.00405557\pi\) |
−0.774172 | + | 0.632976i | \(0.781833\pi\) | |||||||
\(510\) | −44.5819 | + | 10.5768i | −1.97412 | + | 0.468351i | ||||
\(511\) | −1.33001 | − | 7.54287i | −0.0588362 | − | 0.333677i | ||||
\(512\) | −1.83024 | + | 22.5533i | −0.0808858 | + | 0.996723i | ||||
\(513\) | −0.938155 | − | 1.05720i | −0.0414205 | − | 0.0466766i | ||||
\(514\) | 18.1988 | − | 3.04038i | 0.802716 | − | 0.134105i | ||||
\(515\) | −2.76921 | + | 0.488287i | −0.122026 | + | 0.0215165i | ||||
\(516\) | 3.84795 | + | 2.91749i | 0.169397 | + | 0.128435i | ||||
\(517\) | 8.57559 | + | 23.5612i | 0.377154 | + | 1.03622i | ||||
\(518\) | −4.48633 | + | 7.61157i | −0.197118 | + | 0.334433i | ||||
\(519\) | −4.14320 | − | 16.7898i | −0.181866 | − | 0.736989i | ||||
\(520\) | −29.3798 | + | 4.36648i | −1.28839 | + | 0.191483i | ||||
\(521\) | 11.9533 | + | 20.7037i | 0.523684 | + | 0.907047i | 0.999620 | + | 0.0275668i | \(0.00877591\pi\) |
−0.475936 | + | 0.879480i | \(0.657891\pi\) | |||||||
\(522\) | −7.96073 | + | 18.9455i | −0.348432 | + | 0.829223i | ||||
\(523\) | 19.8610 | + | 11.4667i | 0.868459 | + | 0.501405i | 0.866836 | − | 0.498594i | \(-0.166150\pi\) |
0.00162326 | + | 0.999999i | \(0.499483\pi\) | |||||||
\(524\) | 17.7321 | + | 10.6676i | 0.774632 | + | 0.466016i | ||||
\(525\) | −26.8758 | + | 36.8045i | −1.17296 | + | 1.60628i | ||||
\(526\) | −0.226283 | + | 25.1498i | −0.00986640 | + | 1.09659i | ||||
\(527\) | −5.31043 | + | 30.1170i | −0.231326 | + | 1.31192i | ||||
\(528\) | 15.6049 | − | 0.490378i | 0.679117 | − | 0.0213410i | ||||
\(529\) | −16.9358 | + | 14.2108i | −0.736339 | + | 0.617862i | ||||
\(530\) | 14.2235 | − | 38.0112i | 0.617831 | − | 1.65110i | ||||
\(531\) | −6.59409 | − | 0.262103i | −0.286159 | − | 0.0113743i | ||||
\(532\) | −0.691853 | + | 0.795017i | −0.0299956 | + | 0.0344684i | ||||
\(533\) | 6.40194 | − | 17.5892i | 0.277299 | − | 0.761872i | ||||
\(534\) | 29.7407 | − | 12.8369i | 1.28701 | − | 0.555508i | ||||
\(535\) | −31.0741 | − | 26.0743i | −1.34345 | − | 1.12729i | ||||
\(536\) | 29.6295 | + | 26.2569i | 1.27980 | + | 1.13412i | ||||
\(537\) | −19.4007 | − | 28.9129i | −0.837204 | − | 1.24768i | ||||
\(538\) | −3.54329 | + | 1.25367i | −0.152762 | + | 0.0540494i | ||||
\(539\) | − | 7.31759i | − | 0.315191i | ||||||
\(540\) | 44.0402 | − | 8.20586i | 1.89519 | − | 0.353124i | ||||
\(541\) | 33.3871i | 1.43542i | 0.696341 | + | 0.717711i | \(0.254810\pi\) | ||||
−0.696341 | + | 0.717711i | \(0.745190\pi\) | |||||||
\(542\) | −3.55352 | − | 10.0435i | −0.152637 | − | 0.431404i | ||||
\(543\) | 0.914715 | − | 0.0617479i | 0.0392542 | − | 0.00264986i | ||||
\(544\) | 9.42444 | − | 22.6659i | 0.404069 | − | 0.971790i | ||||
\(545\) | 26.5897 | + | 22.3114i | 1.13898 | + | 0.955717i | ||||
\(546\) | −6.90095 | + | 9.27399i | −0.295333 | + | 0.396890i | ||||
\(547\) | 9.18068 | − | 25.2237i | 0.392538 | − | 1.07849i | −0.573301 | − | 0.819345i | \(-0.694338\pi\) |
0.965839 | − | 0.259143i | \(-0.0834403\pi\) | |||||||
\(548\) | 19.7921 | + | 17.2238i | 0.845477 | + | 0.735765i | ||||
\(549\) | −29.1629 | + | 9.32041i | −1.24464 | + | 0.397785i | ||||
\(550\) | −40.5399 | − | 15.1698i | −1.72863 | − | 0.646841i | ||||
\(551\) | 1.00931 | − | 0.846915i | 0.0429982 | − | 0.0360798i | ||||
\(552\) | 3.66143 | + | 2.82830i | 0.155841 | + | 0.120381i | ||||
\(553\) | 3.44855 | − | 19.5577i | 0.146647 | − | 0.831678i | ||||
\(554\) | 27.1787 | + | 0.244538i | 1.15471 | + | 0.0103894i | ||||
\(555\) | −23.9411 | − | 2.57467i | −1.01624 | − | 0.109289i | ||||
\(556\) | 22.9280 | + | 13.7934i | 0.972366 | + | 0.584972i | ||||
\(557\) | −20.0554 | − | 11.5790i | −0.849776 | − | 0.490619i | 0.0107991 | − | 0.999942i | \(-0.496562\pi\) |
−0.860575 | + | 0.509323i | \(0.829896\pi\) | |||||||
\(558\) | 6.62007 | − | 29.1579i | 0.280250 | − | 1.23435i | ||||
\(559\) | −1.69797 | − | 2.94097i | −0.0718164 | − | 0.124390i | ||||
\(560\) | −10.2877 | − | 31.7792i | −0.434734 | − | 1.34292i | ||||
\(561\) | −16.2698 | − | 4.70775i | −0.686910 | − | 0.198761i | ||||
\(562\) | 0.303033 | + | 0.178611i | 0.0127827 | + | 0.00753423i | ||||
\(563\) | 6.73880 | + | 18.5147i | 0.284007 | + | 0.780302i | 0.996874 | + | 0.0790034i | \(0.0251738\pi\) |
−0.712868 | + | 0.701299i | \(0.752604\pi\) | |||||||
\(564\) | −38.2419 | − | 4.81012i | −1.61027 | − | 0.202543i | ||||
\(565\) | −19.9965 | + | 3.52593i | −0.841261 | + | 0.148337i | ||||
\(566\) | −2.32348 | − | 13.9077i | −0.0976633 | − | 0.584584i | ||||
\(567\) | 9.88835 | − | 14.3595i | 0.415272 | − | 0.603042i | ||||
\(568\) | 23.6842 | − | 12.8346i | 0.993765 | − | 0.538527i | ||||
\(569\) | −7.17521 | − | 40.6926i | −0.300800 | − | 1.70592i | −0.642642 | − | 0.766166i | \(-0.722162\pi\) |
0.341842 | − | 0.939757i | \(-0.388949\pi\) | |||||||
\(570\) | −2.75175 | − | 0.823137i | −0.115258 | − | 0.0344774i | ||||
\(571\) | 15.6636 | + | 43.0354i | 0.655501 | + | 1.80097i | 0.596350 | + | 0.802724i | \(0.296617\pi\) |
0.0591505 | + | 0.998249i | \(0.481161\pi\) | |||||||
\(572\) | −10.2482 | − | 3.94027i | −0.428498 | − | 0.164751i | ||||
\(573\) | 11.3672 | − | 39.2844i | 0.474870 | − | 1.64113i | ||||
\(574\) | 20.6964 | + | 3.84164i | 0.863851 | + | 0.160347i | ||||
\(575\) | −6.41350 | − | 11.1085i | −0.267461 | − | 0.463257i | ||||
\(576\) | −10.2828 | + | 21.6856i | −0.428449 | + | 0.903566i | ||||
\(577\) | 8.69727 | − | 15.0641i | 0.362072 | − | 0.627127i | −0.626230 | − | 0.779639i | \(-0.715403\pi\) |
0.988302 | + | 0.152512i | \(0.0487361\pi\) | |||||||
\(578\) | −1.68133 | + | 1.96751i | −0.0699342 | + | 0.0818376i | ||||
\(579\) | −10.1811 | − | 1.09489i | −0.423111 | − | 0.0455021i | ||||
\(580\) | 6.51032 | + | 41.2489i | 0.270326 | + | 1.71277i | ||||
\(581\) | 7.27489 | + | 1.28276i | 0.301813 | + | 0.0532179i | ||||
\(582\) | 1.01404 | + | 1.54100i | 0.0420332 | + | 0.0638766i | ||||
\(583\) | 11.4925 | − | 9.64334i | 0.475970 | − | 0.399386i | ||||
\(584\) | −0.301805 | + | 11.1788i | −0.0124888 | + | 0.462583i | ||||
\(585\) | −30.7839 | − | 6.69859i | −1.27276 | − | 0.276953i | ||||
\(586\) | −19.2082 | + | 15.8253i | −0.793485 | + | 0.653738i | ||||
\(587\) | 7.85253 | − | 21.5747i | 0.324109 | − | 0.890482i | −0.665462 | − | 0.746432i | \(-0.731765\pi\) |
0.989570 | − | 0.144050i | \(-0.0460125\pi\) | |||||||
\(588\) | 10.0076 | + | 5.13637i | 0.412706 | + | 0.211821i | ||||
\(589\) | −1.23224 | + | 1.46853i | −0.0507737 | + | 0.0605098i | ||||
\(590\) | −11.6735 | + | 6.60041i | −0.480592 | + | 0.271734i | ||||
\(591\) | −10.6473 | + | 0.718750i | −0.437973 | + | 0.0295654i | ||||
\(592\) | 8.64220 | − | 9.57728i | 0.355192 | − | 0.393624i | ||||
\(593\) | 39.3761 | 1.61698 | 0.808492 | − | 0.588507i | \(-0.200284\pi\) | ||||
0.808492 | + | 0.588507i | \(0.200284\pi\) | |||||||
\(594\) | 15.6641 | + | 5.37212i | 0.642705 | + | 0.220421i | ||||
\(595\) | 36.2368i | 1.48556i | ||||||||
\(596\) | 23.1646 | − | 12.8240i | 0.948860 | − | 0.525291i | ||||
\(597\) | 12.3399 | − | 8.28017i | 0.505039 | − | 0.338885i | ||||
\(598\) | −1.60141 | − | 2.83227i | −0.0654865 | − | 0.115820i | ||||
\(599\) | 1.45158 | + | 1.21802i | 0.0593098 | + | 0.0497669i | 0.671961 | − | 0.740587i | \(-0.265452\pi\) |
−0.612651 | + | 0.790354i | \(0.709897\pi\) | |||||||
\(600\) | 49.2021 | − | 44.7947i | 2.00867 | − | 1.82873i | ||||
\(601\) | −15.5931 | − | 5.67543i | −0.636056 | − | 0.231505i | 0.00380903 | − | 0.999993i | \(-0.498788\pi\) |
−0.639865 | + | 0.768487i | \(0.721010\pi\) | |||||||
\(602\) | 2.94750 | − | 2.42839i | 0.120131 | − | 0.0989738i | ||||
\(603\) | 19.5347 | + | 37.1705i | 0.795513 | + | 1.51370i | ||||
\(604\) | 2.21301 | − | 11.3522i | 0.0900462 | − | 0.461913i | ||||
\(605\) | 16.4085 | + | 19.5549i | 0.667101 | + | 0.795020i | ||||
\(606\) | −15.5168 | − | 7.78841i | −0.630328 | − | 0.316383i | ||||
\(607\) | −2.03609 | + | 11.5473i | −0.0826425 | + | 0.468689i | 0.915198 | + | 0.403005i | \(0.132034\pi\) |
−0.997840 | + | 0.0656842i | \(0.979077\pi\) | |||||||
\(608\) | 1.22204 | − | 0.935084i | 0.0495604 | − | 0.0379227i | ||||
\(609\) | 13.1253 | + | 9.58451i | 0.531864 | + | 0.388384i | ||||
\(610\) | −40.4179 | + | 47.2973i | −1.63647 | + | 1.91501i | ||||
\(611\) | 23.4741 | + | 13.5528i | 0.949659 | + | 0.548286i | ||||
\(612\) | 17.8584 | − | 18.9462i | 0.721885 | − | 0.765853i | ||||
\(613\) | 35.6743 | − | 20.5966i | 1.44087 | − | 0.831887i | 0.442963 | − | 0.896540i | \(-0.353927\pi\) |
0.997908 | + | 0.0646531i | \(0.0205941\pi\) | |||||||
\(614\) | −1.93470 | + | 10.4230i | −0.0780782 | + | 0.420637i | ||||
\(615\) | 13.7443 | + | 55.6970i | 0.554225 | + | 2.24592i | ||||
\(616\) | 2.47150 | − | 12.0975i | 0.0995795 | − | 0.487424i | ||||
\(617\) | 11.6629 | − | 4.24493i | 0.469529 | − | 0.170895i | −0.0964100 | − | 0.995342i | \(-0.530736\pi\) |
0.565939 | + | 0.824447i | \(0.308514\pi\) | |||||||
\(618\) | 1.16197 | − | 1.09677i | 0.0467414 | − | 0.0441184i | ||||
\(619\) | 18.6300 | − | 3.28497i | 0.748803 | − | 0.132034i | 0.213792 | − | 0.976879i | \(-0.431419\pi\) |
0.535011 | + | 0.844845i | \(0.320308\pi\) | |||||||
\(620\) | −19.7502 | − | 57.4597i | −0.793187 | − | 2.30764i | ||||
\(621\) | 2.57028 | + | 4.18027i | 0.103142 | + | 0.167749i | ||||
\(622\) | −30.3236 | + | 5.06600i | −1.21587 | + | 0.203128i | ||||
\(623\) | −4.44856 | − | 25.2290i | −0.178228 | − | 1.01078i | ||||
\(624\) | 12.5822 | − | 11.2497i | 0.503690 | − | 0.450349i | ||||
\(625\) | −86.0426 | + | 31.3169i | −3.44170 | + | 1.25268i | ||||
\(626\) | 13.2388 | + | 7.80306i | 0.529128 | + | 0.311873i | ||||
\(627\) | −0.735691 | − | 0.765514i | −0.0293807 | − | 0.0305717i | ||||
\(628\) | 0.0182905 | − | 1.01635i | 0.000729872 | − | 0.0405570i | ||||
\(629\) | −12.1196 | + | 6.99725i | −0.483240 | + | 0.278999i | ||||
\(630\) | 1.72558 | − | 35.3871i | 0.0687488 | − | 1.40986i | ||||
\(631\) | 2.57743 | − | 4.46423i | 0.102606 | − | 0.177718i | −0.810152 | − | 0.586220i | \(-0.800615\pi\) |
0.912757 | + | 0.408502i | \(0.133949\pi\) | |||||||
\(632\) | −10.6489 | + | 26.9696i | −0.423590 | + | 1.07279i | ||||
\(633\) | 22.7444 | − | 10.0609i | 0.904010 | − | 0.399883i | ||||
\(634\) | 23.6867 | + | 0.213118i | 0.940717 | + | 0.00846399i | ||||
\(635\) | −17.3814 | − | 3.06482i | −0.689762 | − | 0.121624i | ||||
\(636\) | 5.12146 | + | 22.4861i | 0.203079 | + | 0.891630i | ||||
\(637\) | −5.08488 | − | 6.05992i | −0.201470 | − | 0.240103i | ||||
\(638\) | −5.40987 | + | 14.4574i | −0.214179 | + | 0.572375i | ||||
\(639\) | 28.3130 | − | 3.84005i | 1.12005 | − | 0.151910i | ||||
\(640\) | 5.42917 | + | 48.4669i | 0.214607 | + | 1.91582i | ||||
\(641\) | −14.3844 | − | 5.23548i | −0.568148 | − | 0.206789i | 0.0419433 | − | 0.999120i | \(-0.486645\pi\) |
−0.610092 | + | 0.792331i | \(0.708867\pi\) | |||||||
\(642\) | 22.8948 | + | 2.67073i | 0.903587 | + | 0.105405i | ||||
\(643\) | −13.8018 | + | 16.4483i | −0.544289 | + | 0.648658i | −0.966144 | − | 0.258005i | \(-0.916935\pi\) |
0.421854 | + | 0.906664i | \(0.361379\pi\) | |||||||
\(644\) | 2.84482 | − | 2.30114i | 0.112102 | − | 0.0906777i | ||||
\(645\) | 9.34365 | + | 4.58511i | 0.367906 | + | 0.180539i | ||||
\(646\) | −1.57371 | + | 0.556799i | −0.0619166 | + | 0.0219070i | ||||
\(647\) | 22.6821 | 0.891726 | 0.445863 | − | 0.895101i | \(-0.352897\pi\) | ||||
0.445863 | + | 0.895101i | \(0.352897\pi\) | |||||||
\(648\) | −18.3419 | + | 17.6515i | −0.720538 | + | 0.693416i | ||||
\(649\) | −4.95714 | −0.194585 | ||||||||
\(650\) | −44.1136 | + | 15.6080i | −1.73028 | + | 0.612197i | ||||
\(651\) | −21.2285 | − | 10.4172i | −0.832010 | − | 0.408284i | ||||
\(652\) | −9.04905 | − | 11.1870i | −0.354388 | − | 0.438117i | ||||
\(653\) | −1.66044 | + | 1.97883i | −0.0649779 | + | 0.0774376i | −0.797554 | − | 0.603247i | \(-0.793873\pi\) |
0.732576 | + | 0.680685i | \(0.238318\pi\) | |||||||
\(654\) | −19.5908 | − | 2.28531i | −0.766061 | − | 0.0893627i | ||||
\(655\) | 41.9122 | + | 15.2548i | 1.63765 | + | 0.596054i | ||||
\(656\) | −28.4836 | − | 11.5440i | −1.11210 | − | 0.450717i | ||||
\(657\) | −4.49627 | + | 10.9760i | −0.175416 | + | 0.428215i | ||||
\(658\) | −10.6829 | + | 28.5491i | −0.416461 | + | 1.11296i | ||||
\(659\) | −0.602610 | − | 0.718162i | −0.0234743 | − | 0.0279756i | 0.754180 | − | 0.656668i | \(-0.228035\pi\) |
−0.777654 | + | 0.628693i | \(0.783590\pi\) | |||||||
\(660\) | 32.8104 | − | 7.47296i | 1.27714 | − | 0.290884i | ||||
\(661\) | 1.32400 | + | 0.233458i | 0.0514978 | + | 0.00908045i | 0.199338 | − | 0.979931i | \(-0.436121\pi\) |
−0.147840 | + | 0.989011i | \(0.547232\pi\) | |||||||
\(662\) | −30.9057 | − | 0.278071i | −1.20119 | − | 0.0108075i | ||||
\(663\) | −16.7448 | + | 7.40698i | −0.650316 | + | 0.287663i | ||||
\(664\) | −10.0319 | − | 3.96108i | −0.389313 | − | 0.153720i | ||||
\(665\) | −1.13577 | + | 1.96721i | −0.0440432 | + | 0.0762850i | ||||
\(666\) | 12.1686 | − | 6.25605i | 0.471524 | − | 0.242417i | ||||
\(667\) | −3.96154 | + | 2.28719i | −0.153391 | + | 0.0885605i | ||||
\(668\) | −25.8098 | − | 0.464478i | −0.998610 | − | 0.0179712i | ||||
\(669\) | 6.57951 | + | 6.84623i | 0.254379 | + | 0.264690i | ||||
\(670\) | 73.5106 | + | 43.3279i | 2.83996 | + | 1.67390i | ||||
\(671\) | −21.6107 | + | 7.86566i | −0.834273 | + | 0.303650i | ||||
\(672\) | 14.8099 | + | 11.8716i | 0.571303 | + | 0.457955i | ||||
\(673\) | 3.58478 | + | 20.3303i | 0.138183 | + | 0.783674i | 0.972590 | + | 0.232526i | \(0.0746991\pi\) |
−0.834407 | + | 0.551148i | \(0.814190\pi\) | |||||||
\(674\) | −33.4372 | + | 5.58617i | −1.28795 | + | 0.215171i | ||||
\(675\) | 65.6255 | − | 25.9640i | 2.52593 | − | 0.999356i | ||||
\(676\) | 13.3632 | − | 4.59323i | 0.513968 | − | 0.176663i | ||||
\(677\) | −5.02386 | + | 0.885842i | −0.193083 | + | 0.0340457i | −0.269353 | − | 0.963041i | \(-0.586810\pi\) |
0.0762704 | + | 0.997087i | \(0.475699\pi\) | |||||||
\(678\) | 8.39064 | − | 7.91977i | 0.322240 | − | 0.304157i | ||||
\(679\) | 1.37093 | − | 0.498977i | 0.0526114 | − | 0.0191490i | ||||
\(680\) | 10.5902 | − | 51.8370i | 0.406114 | − | 1.98786i | ||||
\(681\) | −2.20553 | − | 8.93762i | −0.0845162 | − | 0.342490i | ||||
\(682\) | 4.09893 | − | 22.0825i | 0.156956 | − | 0.845583i | ||||
\(683\) | −18.6543 | + | 10.7701i | −0.713787 | + | 0.412105i | −0.812462 | − | 0.583015i | \(-0.801873\pi\) |
0.0986748 | + | 0.995120i | \(0.468540\pi\) | |||||||
\(684\) | 1.56332 | − | 0.468804i | 0.0597750 | − | 0.0179252i | ||||
\(685\) | 48.9740 | + | 28.2751i | 1.87120 | + | 1.08034i | ||||
\(686\) | 18.2381 | − | 21.3424i | 0.696334 | − | 0.814855i | ||||
\(687\) | 6.09014 | + | 4.44721i | 0.232353 | + | 0.169672i | ||||
\(688\) | −4.92611 | + | 2.61242i | −0.187806 | + | 0.0995978i | ||||
\(689\) | 2.81628 | − | 15.9719i | 0.107292 | − | 0.608481i | ||||
\(690\) | 8.91227 | + | 4.47337i | 0.339284 | + | 0.170298i | ||||
\(691\) | −30.5280 | − | 36.3818i | −1.16134 | − | 1.38403i | −0.909211 | − | 0.416336i | \(-0.863314\pi\) |
−0.252128 | − | 0.967694i | \(-0.581130\pi\) | |||||||
\(692\) | 19.5998 | + | 3.82081i | 0.745071 | + | 0.145246i | ||||
\(693\) | 6.99350 | − | 11.0728i | 0.265661 | − | 0.420621i | ||||
\(694\) | −5.74929 | + | 4.73673i | −0.218240 | + | 0.179804i | ||||
\(695\) | 54.1934 | + | 19.7248i | 2.05567 | + | 0.748204i | ||||
\(696\) | −15.9748 | − | 17.5466i | −0.605522 | − | 0.665100i | ||||
\(697\) | 25.5411 | + | 21.4315i | 0.967436 | + | 0.811776i | ||||
\(698\) | −5.22375 | − | 9.23878i | −0.197722 | − | 0.349693i | ||||
\(699\) | −23.9822 | + | 16.0922i | −0.907089 | + | 0.608663i | ||||
\(700\) | −25.4872 | − | 46.0389i | −0.963326 | − | 1.74011i | ||||
\(701\) | 46.2079i | 1.74525i | 0.488393 | + | 0.872624i | \(0.337583\pi\) | ||||
−0.488393 | + | 0.872624i | \(0.662417\pi\) | |||||||
\(702\) | 16.7049 | − | 6.43591i | 0.630487 | − | 0.242908i | ||||
\(703\) | −0.877258 | −0.0330864 | ||||||||
\(704\) | −7.07099 | + | 16.5833i | −0.266498 | + | 0.625007i | ||||
\(705\) | −82.8856 | + | 5.59520i | −3.12165 | + | 0.210727i | ||||
\(706\) | 8.01491 | − | 4.53176i | 0.301645 | − | 0.170555i | ||||
\(707\) | −8.82596 | + | 10.5184i | −0.331934 | + | 0.395584i | ||||
\(708\) | 3.47953 | − | 6.77942i | 0.130769 | − | 0.254786i | ||||
\(709\) | −9.96920 | + | 27.3902i | −0.374401 | + | 1.02866i | 0.599239 | + | 0.800570i | \(0.295470\pi\) |
−0.973640 | + | 0.228089i | \(0.926752\pi\) | |||||||
\(710\) | 44.8115 | − | 36.9194i | 1.68175 | − | 1.38556i | ||||
\(711\) | −20.6888 | + | 22.7557i | −0.775892 | + | 0.853406i | ||||
\(712\) | −1.00946 | + | 37.3904i | −0.0378313 | + | 1.40126i | ||||
\(713\) | 5.09852 | − | 4.27816i | 0.190941 | − | 0.160218i | ||||
\(714\) | −11.3189 | − | 17.2009i | −0.423597 | − | 0.643729i | ||||
\(715\) | −23.3053 | − | 4.10936i | −0.871570 | − | 0.153681i | ||||
\(716\) | 39.7136 | − | 6.26799i | 1.48417 | − | 0.234246i | ||||
\(717\) | −5.20610 | − | 0.559873i | −0.194425 | − | 0.0209089i | ||||
\(718\) | 2.76843 | − | 3.23964i | 0.103317 | − | 0.120902i | ||||
\(719\) | 2.70798 | − | 4.69037i | 0.100991 | − | 0.174921i | −0.811102 | − | 0.584904i | \(-0.801132\pi\) |
0.912093 | + | 0.409983i | \(0.134465\pi\) | |||||||
\(720\) | −12.8103 | + | 50.1172i | −0.477411 | + | 1.86776i | ||||
\(721\) | −0.631833 | − | 1.09437i | −0.0235307 | − | 0.0407564i | ||||
\(722\) | 26.3159 | + | 4.88473i | 0.979377 | + | 0.181791i | ||||
\(723\) | −12.1766 | + | 42.0818i | −0.452853 | + | 1.56504i | ||||
\(724\) | −0.379912 | + | 0.988106i | −0.0141193 | + | 0.0367227i | ||||
\(725\) | 22.5008 | + | 61.8205i | 0.835659 | + | 2.29596i | ||||
\(726\) | −13.8969 | − | 4.15702i | −0.515764 | − | 0.154281i | ||||
\(727\) | −2.14396 | − | 12.1590i | −0.0795152 | − | 0.450953i | −0.998406 | − | 0.0564409i | \(-0.982025\pi\) |
0.918891 | − | 0.394512i | \(-0.129086\pi\) | |||||||
\(728\) | −6.35967 | − | 11.7358i | −0.235705 | − | 0.434956i | ||||
\(729\) | −24.8220 | + | 10.6240i | −0.919332 | + | 0.393483i | ||||
\(730\) | 3.97172 | + | 23.7736i | 0.147000 | + | 0.879900i | ||||
\(731\) | 5.95712 | − | 1.05040i | 0.220332 | − | 0.0388505i | ||||
\(732\) | 4.41191 | − | 35.0760i | 0.163069 | − | 1.29645i | ||||
\(733\) | −9.97712 | − | 27.4119i | −0.368513 | − | 1.01248i | −0.975927 | − | 0.218097i | \(-0.930015\pi\) |
0.607414 | − | 0.794386i | \(-0.292207\pi\) | |||||||
\(734\) | −25.8227 | − | 15.2201i | −0.953133 | − | 0.561786i | ||||
\(735\) | 23.2896 | + | 6.73898i | 0.859050 | + | 0.248571i | ||||
\(736\) | −4.74204 | + | 2.46040i | −0.174794 | + | 0.0906916i | ||||
\(737\) | 15.7711 | + | 27.3163i | 0.580934 | + | 1.00621i | ||||
\(738\) | −23.9216 | − | 22.1452i | −0.880566 | − | 0.815176i | ||||
\(739\) | −40.5957 | − | 23.4379i | −1.49334 | − | 0.862178i | −0.493366 | − | 0.869822i | \(-0.664234\pi\) |
−0.999971 | + | 0.00764369i | \(0.997567\pi\) | |||||||
\(740\) | 14.3331 | − | 23.8251i | 0.526896 | − | 0.875828i | ||||
\(741\) | −1.14119 | − | 0.122726i | −0.0419228 | − | 0.00450845i | ||||
\(742\) | 18.2380 | + | 0.164095i | 0.669540 | + | 0.00602410i | ||||
\(743\) | −8.99604 | + | 51.0191i | −0.330033 | + | 1.87171i | 0.141615 | + | 0.989922i | \(0.454770\pi\) |
−0.471648 | + | 0.881787i | \(0.656341\pi\) | |||||||
\(744\) | 27.3230 | + | 21.1059i | 1.00171 | + | 0.773781i | ||||
\(745\) | 43.7168 | − | 36.6827i | 1.60166 | − | 1.34395i | ||||
\(746\) | 11.6535 | + | 4.36065i | 0.426664 | + | 0.159655i | ||||
\(747\) | −8.46447 | − | 7.69565i | −0.309699 | − | 0.281569i | ||||
\(748\) | 12.8388 | − | 14.7532i | 0.469432 | − | 0.539430i | ||||
\(749\) | 6.23483 | − | 17.1300i | 0.227816 | − | 0.625918i | ||||
\(750\) | 54.0976 | − | 72.7003i | 1.97536 | − | 2.65464i | ||||
\(751\) | −18.6600 | − | 15.6576i | −0.680914 | − | 0.571355i | 0.235359 | − | 0.971908i | \(-0.424373\pi\) |
−0.916273 | + | 0.400554i | \(0.868818\pi\) | |||||||
\(752\) | 23.6253 | − | 37.7176i | 0.861527 | − | 1.37542i | ||||
\(753\) | 44.1997 | − | 2.98370i | 1.61073 | − | 0.108732i | ||||
\(754\) | 5.56617 | + | 15.7319i | 0.202708 | + | 0.572922i | ||||
\(755\) | − | 24.9285i | − | 0.907242i | ||||||
\(756\) | 10.2343 | + | 17.3366i | 0.372219 | + | 0.630526i | ||||
\(757\) | − | 25.3066i | − | 0.919783i | −0.887975 | − | 0.459892i | \(-0.847888\pi\) | ||
0.887975 | − | 0.459892i | \(-0.152112\pi\) | |||||||
\(758\) | −24.1266 | + | 8.53634i | −0.876318 | + | 0.310054i | ||||
\(759\) | 2.05389 | + | 3.06091i | 0.0745515 | + | 0.111104i | ||||
\(760\) | 2.19964 | − | 2.48217i | 0.0797892 | − | 0.0900379i | ||||
\(761\) | −28.0328 | − | 23.5223i | −1.01619 | − | 0.852684i | −0.0270452 | − | 0.999634i | \(-0.508610\pi\) |
−0.989144 | + | 0.146950i | \(0.953054\pi\) | |||||||
\(762\) | 9.20797 | − | 3.97442i | 0.333570 | − | 0.143978i | ||||
\(763\) | −5.33506 | + | 14.6580i | −0.193142 | + | 0.530654i | ||||
\(764\) | 35.6225 | + | 31.0000i | 1.28878 | + | 1.12154i | ||||
\(765\) | 29.9666 | − | 47.4461i | 1.08344 | − | 1.71542i | ||||
\(766\) | −5.95997 | + | 15.9275i | −0.215343 | + | 0.575485i | ||||
\(767\) | −4.10516 | + | 3.44464i | −0.148229 | + | 0.124379i | ||||
\(768\) | −17.7162 | − | 21.3105i | −0.639277 | − | 0.768977i | ||||
\(769\) | −0.199674 | + | 1.13241i | −0.00720043 | + | 0.0408357i | −0.988196 | − | 0.153193i | \(-0.951044\pi\) |
0.980996 | + | 0.194029i | \(0.0621555\pi\) | |||||||
\(770\) | 0.239438 | − | 26.6120i | 0.00862875 | − | 0.959029i | ||||
\(771\) | −13.3267 | + | 18.2500i | −0.479950 | + | 0.657257i | ||||
\(772\) | 6.09522 | − | 10.1317i | 0.219372 | − | 0.364649i | ||||
\(773\) | −21.9181 | − | 12.6544i | −0.788338 | − | 0.455147i | 0.0510390 | − | 0.998697i | \(-0.483747\pi\) |
−0.839377 | + | 0.543549i | \(0.817080\pi\) | |||||||
\(774\) | −5.86745 | + | 0.742095i | −0.210901 | + | 0.0266741i | ||||
\(775\) | −47.8601 | − | 82.8961i | −1.71918 | − | 2.97772i | ||||
\(776\) | −2.10695 | + | 0.313138i | −0.0756350 | + | 0.0112410i | ||||
\(777\) | −2.59253 | − | 10.5059i | −0.0930065 | − | 0.376897i | ||||
\(778\) | −17.0410 | + | 28.9120i | −0.610950 | + | 1.03655i | ||||
\(779\) | 0.714835 | + | 1.96399i | 0.0256116 | + | 0.0703674i | ||||
\(780\) | 21.9785 | − | 28.9881i | 0.786956 | − | 1.03794i | ||||
\(781\) | 21.1363 | − | 3.72691i | 0.756318 | − | 0.133359i | ||||
\(782\) | 5.71635 | − | 0.954999i | 0.204416 | − | 0.0341507i | ||||
\(783\) | −9.25934 | − | 23.4035i | −0.330902 | − | 0.836373i | ||||
\(784\) | −10.2441 | + | 7.98570i | −0.365859 | + | 0.285203i | ||||
\(785\) | −0.380456 | − | 2.15767i | −0.0135790 | − | 0.0770106i | ||||
\(786\) | −24.6599 | + | 5.85045i | −0.879590 | + | 0.208679i | ||||
\(787\) | −16.0734 | − | 44.1614i | −0.572956 | − | 1.57418i | −0.799809 | − | 0.600255i | \(-0.795066\pi\) |
0.226853 | − | 0.973929i | \(-0.427156\pi\) | |||||||
\(788\) | 4.42220 | − | 11.5016i | 0.157534 | − | 0.409729i | ||||
\(789\) | −21.3444 | − | 22.2096i | −0.759879 | − | 0.790683i | ||||
\(790\) | −11.4056 | + | 61.4466i | −0.405795 | + | 2.18617i | ||||
\(791\) | −4.56248 | − | 7.90245i | −0.162223 | − | 0.280979i | ||||
\(792\) | −13.2403 | + | 13.7959i | −0.470472 | + | 0.490215i | ||||
\(793\) | −12.4308 | + | 21.5308i | −0.441430 | + | 0.764580i | ||||
\(794\) | −6.88430 | − | 5.88297i | −0.244315 | − | 0.208779i | ||||
\(795\) | 20.1080 | + | 45.4578i | 0.713156 | + | 1.61222i | ||||
\(796\) | 2.67516 | + | 16.9496i | 0.0948185 | + | 0.600764i | ||||
\(797\) | 0.791956 | + | 0.139643i | 0.0280525 | + | 0.00494642i | 0.187657 | − | 0.982235i | \(-0.439911\pi\) |
−0.159604 | + | 0.987181i | \(0.551022\pi\) | |||||||
\(798\) | −0.0753451 | − | 1.28856i | −0.00266719 | − | 0.0456146i | ||||
\(799\) | −36.9859 | + | 31.0349i | −1.30847 | + | 1.09794i | ||||
\(800\) | 23.0048 | + | 73.3075i | 0.813343 | + | 2.59181i | ||||
\(801\) | −15.0389 | + | 36.7121i | −0.531373 | + | 1.29716i | ||||
\(802\) | −19.6345 | − | 23.8317i | −0.693318 | − | 0.841526i | ||||
\(803\) | −3.04731 | + | 8.37240i | −0.107537 | + | 0.295456i | ||||
\(804\) | −48.4279 | + | 2.39470i | −1.70792 | + | 0.0844547i | ||||
\(805\) | 5.06930 | − | 6.04135i | 0.178669 | − | 0.212930i | ||||
\(806\) | −11.9503 | − | 21.1355i | −0.420933 | − | 0.744467i | ||||
\(807\) | 2.02790 | − | 4.13249i | 0.0713853 | − | 0.145471i | ||||
\(808\) | 15.6996 | − | 12.4672i | 0.552309 | − | 0.438595i | ||||
\(809\) | 24.6549 | 0.866821 | 0.433411 | − | 0.901197i | \(-0.357310\pi\) | ||||
0.433411 | + | 0.901197i | \(0.357310\pi\) | |||||||
\(810\) | −31.5233 | + | 44.9065i | −1.10761 | + | 1.57785i | ||||
\(811\) | − | 17.9319i | − | 0.629675i | −0.949146 | − | 0.314837i | \(-0.898050\pi\) | ||
0.949146 | − | 0.314837i | \(-0.101950\pi\) | |||||||
\(812\) | −16.4185 | + | 9.08930i | −0.576175 | + | 0.318972i | ||||
\(813\) | 11.7136 | + | 5.74808i | 0.410813 | + | 0.201594i | ||||
\(814\) | 8.94676 | − | 5.05864i | 0.313584 | − | 0.177305i | ||||
\(815\) | −23.7571 | − | 19.9346i | −0.832176 | − | 0.698278i | ||||
\(816\) | 11.1647 | + | 27.9140i | 0.390844 | + | 0.977184i | ||||
\(817\) | 0.356320 | + | 0.129690i | 0.0124661 | + | 0.00453727i | ||||
\(818\) | −6.11640 | − | 7.42387i | −0.213855 | − | 0.259570i | ||||
\(819\) | −1.90278 | − | 14.0294i | −0.0664887 | − | 0.490227i | ||||
\(820\) | −65.0187 | − | 12.6749i | −2.27055 | − | 0.442626i | ||||
\(821\) | −15.2499 | − | 18.1741i | −0.532224 | − | 0.634280i | 0.431201 | − | 0.902256i | \(-0.358090\pi\) |
−0.963426 | + | 0.267975i | \(0.913645\pi\) | |||||||
\(822\) | −32.0790 | + | 1.87573i | −1.11888 | + | 0.0654236i | ||||
\(823\) | 4.39480 | − | 24.9242i | 0.153193 | − | 0.868802i | −0.807226 | − | 0.590243i | \(-0.799032\pi\) |
0.960419 | − | 0.278559i | \(-0.0898569\pi\) | |||||||
\(824\) | 0.584014 | + | 1.75015i | 0.0203451 | + | 0.0609694i | ||||
\(825\) | 48.4819 | − | 21.4457i | 1.68792 | − | 0.746642i | ||||
\(826\) | −4.58155 | − | 3.91516i | −0.159413 | − | 0.136226i | ||||
\(827\) | 17.9617 | + | 10.3702i | 0.624590 | + | 0.360607i | 0.778654 | − | 0.627453i | \(-0.215903\pi\) |
−0.154064 | + | 0.988061i | \(0.549236\pi\) | |||||||
\(828\) | −5.62778 | + | 0.660395i | −0.195579 | + | 0.0229503i | ||||
\(829\) | −23.7819 | + | 13.7305i | −0.825979 | + | 0.476879i | −0.852474 | − | 0.522770i | \(-0.824899\pi\) |
0.0264950 | + | 0.999649i | \(0.491565\pi\) | |||||||
\(830\) | −22.8563 | − | 4.24257i | −0.793355 | − | 0.147262i | ||||
\(831\) | −24.0013 | + | 23.0663i | −0.832597 | + | 0.800160i | ||||
\(832\) | 5.66779 | + | 18.6467i | 0.196495 | + | 0.646457i | ||||
\(833\) | 13.2411 | − | 4.81937i | 0.458777 | − | 0.166981i | ||||
\(834\) | −31.8858 | + | 7.56476i | −1.10412 | + | 0.261946i | ||||
\(835\) | −54.7929 | + | 9.66146i | −1.89619 | + | 0.334349i | ||||
\(836\) | 1.15939 | − | 0.398510i | 0.0400985 | − | 0.0137828i | ||||
\(837\) | 19.1805 | + | 31.1949i | 0.662974 | + | 1.07825i | ||||
\(838\) | −4.80539 | − | 28.7637i | −0.166000 | − | 0.993625i | ||||
\(839\) | −3.50813 | − | 19.8956i | −0.121114 | − | 0.686872i | −0.983540 | − | 0.180689i | \(-0.942167\pi\) |
0.862426 | − | 0.506183i | \(-0.168944\pi\) | |||||||
\(840\) | 36.2266 | + | 19.0070i | 1.24994 | + | 0.655803i | ||||
\(841\) | −5.20454 | + | 1.89430i | −0.179467 | + | 0.0653206i | ||||
\(842\) | −6.88689 | + | 11.6844i | −0.237338 | + | 0.402671i | ||||
\(843\) | −0.418262 | + | 0.103214i | −0.0144057 | + | 0.00355489i | ||||
\(844\) | −0.516726 | + | 28.7130i | −0.0177865 | + | 0.988344i | ||||
\(845\) | 26.3759 | − | 15.2282i | 0.907360 | − | 0.523864i | ||||
\(846\) | 37.5965 | − | 28.5459i | 1.29260 | − | 0.981429i | ||||
\(847\) | −5.73587 | + | 9.93482i | −0.197087 | + | 0.341364i | ||||
\(848\) | −26.0417 | − | 5.56479i | −0.894275 | − | 0.191096i | ||||
\(849\) | 13.9468 | + | 10.1844i | 0.478652 | + | 0.349527i | ||||
\(850\) | 0.749909 | − | 83.3474i | 0.0257217 | − | 2.85879i | ||||
\(851\) | 2.99944 | + | 0.528881i | 0.102819 | + | 0.0181298i | ||||
\(852\) | −9.73912 | + | 31.5222i | −0.333657 | + | 1.07993i | ||||
\(853\) | −1.05046 | − | 1.25189i | −0.0359670 | − | 0.0428638i | 0.747761 | − | 0.663968i | \(-0.231129\pi\) |
−0.783728 | + | 0.621104i | \(0.786684\pi\) | |||||||
\(854\) | −26.1856 | − | 9.79848i | −0.896054 | − | 0.335297i | ||||
\(855\) | 3.11391 | − | 1.63649i | 0.106493 | − | 0.0559668i | ||||
\(856\) | −13.9252 | + | 22.6825i | −0.475953 | + | 0.775272i | ||||
\(857\) | 15.6564 | + | 5.69845i | 0.534811 | + | 0.194655i | 0.595285 | − | 0.803514i | \(-0.297039\pi\) |
−0.0604740 | + | 0.998170i | \(0.519261\pi\) | |||||||
\(858\) | 12.3462 | − | 5.32897i | 0.421492 | − | 0.181928i | ||||
\(859\) | 9.96831 | − | 11.8798i | 0.340114 | − | 0.405333i | −0.568692 | − | 0.822551i | \(-0.692550\pi\) |
0.908806 | + | 0.417218i | \(0.136995\pi\) | |||||||
\(860\) | −9.34395 | + | 7.55821i | −0.318626 | + | 0.257733i | ||||
\(861\) | −21.4079 | + | 14.3649i | −0.729580 | + | 0.489554i | ||||
\(862\) | 8.01005 | + | 22.6391i | 0.272823 | + | 0.771092i | ||||
\(863\) | −26.3628 | −0.897402 | −0.448701 | − | 0.893682i | \(-0.648113\pi\) | ||||
−0.448701 | + | 0.893682i | \(0.648113\pi\) | |||||||
\(864\) | −9.57369 | − | 27.7911i | −0.325703 | − | 0.945472i | ||||
\(865\) | 43.0396 | 1.46339 | ||||||||
\(866\) | 0.956992 | + | 2.70479i | 0.0325199 | + | 0.0919124i | ||||
\(867\) | −0.213485 | − | 3.16250i | −0.00725032 | − | 0.107404i | ||||
\(868\) | 21.2292 | − | 17.1720i | 0.720565 | − | 0.582857i | ||||
\(869\) | −14.8495 | + | 17.6970i | −0.503736 | + | 0.600329i | ||||
\(870\) | −41.0314 | − | 30.5322i | −1.39109 | − | 1.03514i | ||||
\(871\) | 32.0422 | + | 11.6624i | 1.08571 | + | 0.395165i | ||||
\(872\) | 11.9156 | − | 19.4091i | 0.403514 | − | 0.657277i | ||||
\(873\) | −2.20764 | − | 0.480383i | −0.0747173 | − | 0.0162585i | ||||
\(874\) | 0.340259 | + | 0.127322i | 0.0115094 | + | 0.00430675i | ||||
\(875\) | −46.0669 | − | 54.9004i | −1.55735 | − | 1.85597i | ||||
\(876\) | −9.31118 | − | 10.0443i | −0.314595 | − | 0.339365i | ||||
\(877\) | 44.2498 | + | 7.80244i | 1.49421 | + | 0.263470i | 0.860241 | − | 0.509888i | \(-0.170313\pi\) |
0.633970 | + | 0.773358i | \(0.281424\pi\) | |||||||
\(878\) | −0.378581 | + | 42.0768i | −0.0127765 | + | 1.42002i | ||||
\(879\) | 3.25920 | − | 30.3063i | 0.109930 | − | 1.02221i | ||||
\(880\) | −8.11983 | + | 37.9986i | −0.273720 | + | 1.28093i | ||||
\(881\) | 3.47544 | − | 6.01963i | 0.117090 | − | 0.202807i | −0.801523 | − | 0.597964i | \(-0.795977\pi\) |
0.918613 | + | 0.395157i | \(0.129310\pi\) | |||||||
\(882\) | −13.1601 | + | 4.07582i | −0.443124 | + | 0.137240i | ||||
\(883\) | 34.3459 | − | 19.8296i | 1.15583 | − | 0.667319i | 0.205529 | − | 0.978651i | \(-0.434108\pi\) |
0.950301 | + | 0.311332i | \(0.100775\pi\) | |||||||
\(884\) | 0.380423 | − | 21.1391i | 0.0127950 | − | 0.710983i | ||||
\(885\) | 4.56517 | − | 15.7770i | 0.153457 | − | 0.530339i | ||||
\(886\) | 27.4505 | − | 46.5729i | 0.922218 | − | 1.56465i | ||||
\(887\) | −21.3844 | + | 7.78328i | −0.718017 | + | 0.261337i | −0.675084 | − | 0.737741i | \(-0.735893\pi\) |
−0.0429334 | + | 0.999078i | \(0.513670\pi\) | |||||||
\(888\) | 0.638298 | + | 15.7864i | 0.0214199 | + | 0.529757i | ||||
\(889\) | −1.37731 | − | 7.81113i | −0.0461936 | − | 0.261977i | ||||
\(890\) | 13.2844 | + | 79.5168i | 0.445295 | + | 2.66541i | ||||
\(891\) | −18.3137 | + | 8.71461i | −0.613531 | + | 0.291951i | ||||
\(892\) | −10.3688 | + | 3.56400i | −0.347174 | + | 0.119331i | ||||
\(893\) | −2.98060 | + | 0.525560i | −0.0997420 | + | 0.0175872i | ||||
\(894\) | −9.29340 | + | 31.0679i | −0.310818 | + | 1.03907i | ||||
\(895\) | 81.4303 | − | 29.6382i | 2.72191 | − | 0.990696i | ||||
\(896\) | −19.6328 | + | 9.74216i | −0.655884 | + | 0.325463i | ||||
\(897\) | 3.82787 | + | 1.10762i | 0.127809 | + | 0.0369822i | ||||
\(898\) | −44.4911 | − | 8.25838i | −1.48469 | − | 0.275586i | ||||
\(899\) | −29.5626 | + | 17.0680i | −0.985967 | + | 0.569248i | ||||
\(900\) | −4.70129 | + | 81.3573i | −0.156710 | + | 2.71191i | ||||
\(901\) | 25.0185 | + | 14.4444i | 0.833486 | + | 0.481213i | ||||
\(902\) | −18.6155 | − | 15.9079i | −0.619828 | − | 0.529674i | ||||
\(903\) | −0.500123 | + | 4.65049i | −0.0166430 | + | 0.154759i | ||||
\(904\) | 4.21718 | + | 12.6379i | 0.140261 | + | 0.420330i | ||||
\(905\) | −0.396215 | + | 2.24705i | −0.0131706 | + | 0.0746943i | ||||
\(906\) | 7.78662 | + | 11.8331i | 0.258693 | + | 0.393129i | ||||
\(907\) | −2.52399 | − | 3.00797i | −0.0838076 | − | 0.0998780i | 0.722511 | − | 0.691359i | \(-0.242988\pi\) |
−0.806319 | + | 0.591481i | \(0.798543\pi\) | |||||||
\(908\) | 10.4335 | + | 2.03392i | 0.346247 | + | 0.0674979i | ||||
\(909\) | 20.2545 | − | 6.47329i | 0.671798 | − | 0.214706i | ||||
\(910\) | −18.2940 | − | 22.2046i | −0.606439 | − | 0.736075i | ||||
\(911\) | −3.50625 | − | 1.27617i | −0.116167 | − | 0.0422814i | 0.283283 | − | 0.959037i | \(-0.408577\pi\) |
−0.399450 | + | 0.916755i | \(0.630799\pi\) | |||||||
\(912\) | −0.268799 | + | 1.86532i | −0.00890084 | + | 0.0617668i | ||||
\(913\) | −6.58276 | − | 5.52360i | −0.217858 | − | 0.182804i | ||||
\(914\) | −12.2155 | + | 6.90681i | −0.404052 | + | 0.228457i | ||||
\(915\) | −5.13200 | − | 76.0239i | −0.169659 | − | 2.51327i | ||||
\(916\) | −7.61818 | + | 4.21744i | −0.251712 | + | 0.139348i | ||||
\(917\) | 20.0439i | 0.661908i | ||||||||
\(918\) | 0.595576 | + | 31.8821i | 0.0196569 | + | 1.05227i | ||||
\(919\) | −8.55529 | −0.282213 | −0.141107 | − | 0.989994i | \(-0.545066\pi\) | ||||
−0.141107 | + | 0.989994i | \(0.545066\pi\) | |||||||
\(920\) | −9.01724 | + | 7.16070i | −0.297290 | + | 0.236081i | ||||
\(921\) | −7.23434 | − | 10.7813i | −0.238380 | − | 0.355257i | ||||
\(922\) | −12.0102 | − | 21.2413i | −0.395534 | − | 0.699545i | ||||
\(923\) | 14.9139 | − | 17.7737i | 0.490897 | − | 0.585028i | ||||
\(924\) | 8.19880 | + | 12.7070i | 0.269721 | + | 0.418030i | ||||
\(925\) | 14.9814 | − | 41.1611i | 0.492586 | − | 1.35337i | ||||
\(926\) | −15.6975 | − | 19.0531i | −0.515851 | − | 0.626122i | ||||
\(927\) | −0.0777235 | + | 1.95540i | −0.00255277 | + | 0.0642236i | ||||
\(928\) | 26.1431 | − | 8.20402i | 0.858188 | − | 0.269310i | ||||
\(929\) | −14.6105 | + | 12.2597i | −0.479356 | + | 0.402228i | −0.850194 | − | 0.526470i | \(-0.823515\pi\) |
0.370837 | + | 0.928698i | \(0.379071\pi\) | |||||||
\(930\) | 66.5069 | + | 33.3820i | 2.18085 | + | 1.09464i | ||||
\(931\) | 0.869880 | + | 0.153383i | 0.0285092 | + | 0.00502693i | ||||
\(932\) | −5.19907 | − | 32.9410i | −0.170301 | − | 1.07902i | ||||
\(933\) | 22.2055 | − | 30.4088i | 0.726974 | − | 0.995539i | ||||
\(934\) | 37.3725 | + | 31.9366i | 1.22286 | + | 1.04500i | ||||
\(935\) | 21.0765 | − | 36.5056i | 0.689276 | − | 1.19386i | ||||
\(936\) | −1.37814 | + | 20.6253i | −0.0450458 | + | 0.674158i | ||||
\(937\) | −12.2786 | − | 21.2672i | −0.401126 | − | 0.694771i | 0.592736 | − | 0.805397i | \(-0.298048\pi\) |
−0.993862 | + | 0.110626i | \(0.964714\pi\) | |||||||
\(938\) | −6.99831 | + | 37.7026i | −0.228503 | + | 1.23103i | ||||
\(939\) | −18.2729 | + | 4.50918i | −0.596312 | + | 0.147152i | ||||
\(940\) | 34.4252 | − | 89.5359i | 1.12283 | − | 2.92034i | ||||
\(941\) | −16.5276 | − | 45.4092i | −0.538785 | − | 1.48030i | −0.848358 | − | 0.529423i | \(-0.822408\pi\) |
0.309573 | − | 0.950876i | \(-0.399814\pi\) | |||||||
\(942\) | 0.854561 | + | 0.905368i | 0.0278431 | + | 0.0294985i | ||||
\(943\) | −1.26004 | − | 7.14606i | −0.0410327 | − | 0.232708i | ||||
\(944\) | 5.40974 | + | 6.93961i | 0.176072 | + | 0.225865i | ||||
\(945\) | 28.8008 | + | 32.4554i | 0.936888 | + | 1.05577i | ||||
\(946\) | −4.38179 | + | 0.732042i | −0.142464 | + | 0.0238008i | ||||
\(947\) | 30.1145 | − | 5.31000i | 0.978590 | − | 0.172552i | 0.338596 | − | 0.940932i | \(-0.390048\pi\) |
0.639994 | + | 0.768380i | \(0.278937\pi\) | |||||||
\(948\) | −13.7793 | − | 32.7302i | −0.447530 | − | 1.06303i | ||||
\(949\) | 3.29429 | + | 9.05097i | 0.106937 | + | 0.293807i | ||||
\(950\) | 2.65306 | − | 4.50122i | 0.0860767 | − | 0.146039i | ||||
\(951\) | −20.9175 | + | 20.1026i | −0.678296 | + | 0.651871i | ||||
\(952\) | 23.5181 | − | 3.49530i | 0.762226 | − | 0.113283i | ||||
\(953\) | 8.92657 | + | 15.4613i | 0.289160 | + | 0.500839i | 0.973609 | − | 0.228221i | \(-0.0732908\pi\) |
−0.684450 | + | 0.729060i | \(0.739957\pi\) | |||||||
\(954\) | −23.7440 | − | 15.2971i | −0.768740 | − | 0.495262i | ||||
\(955\) | 88.1450 | + | 50.8906i | 2.85231 | + | 1.64678i | ||||
\(956\) | 3.11680 | − | 5.18088i | 0.100805 | − | 0.167561i | ||||
\(957\) | −7.64800 | − | 17.2897i | −0.247225 | − | 0.558897i | ||||
\(958\) | 0.192376 | − | 21.3814i | 0.00621540 | − | 0.690801i | ||||
\(959\) | −4.41299 | + | 25.0273i | −0.142503 | + | 0.808174i | ||||
\(960\) | −46.2676 | − | 37.7768i | −1.49328 | − | 1.21924i | ||||
\(961\) | 14.2998 | − | 11.9989i | 0.461283 | − | 0.387063i | ||||
\(962\) | 3.89392 | − | 10.4062i | 0.125545 | − | 0.335509i | ||||
\(963\) | −22.3294 | + | 17.2730i | −0.719556 | + | 0.556613i | ||||
\(964\) | −38.1592 | − | 33.2075i | −1.22902 | − | 1.06954i | ||||
\(965\) | 8.71625 | − | 23.9477i | 0.280586 | − | 0.770903i | ||||
\(966\) | −0.519236 | + | 4.45115i | −0.0167062 | + | 0.143213i | ||||
\(967\) | −7.39147 | − | 6.20218i | −0.237694 | − | 0.199449i | 0.516158 | − | 0.856493i | \(-0.327362\pi\) |
−0.753851 | + | 0.657045i | \(0.771806\pi\) | |||||||
\(968\) | 11.1086 | − | 12.5355i | 0.357045 | − | 0.402907i | ||||
\(969\) | 0.900664 | − | 1.83539i | 0.0289335 | − | 0.0589613i | ||||
\(970\) | −4.32817 | + | 1.53137i | −0.138969 | + | 0.0491692i | ||||
\(971\) | − | 44.9974i | − | 1.44403i | −0.691875 | − | 0.722017i | \(-0.743215\pi\) | ||
0.691875 | − | 0.722017i | \(-0.256785\pi\) | |||||||
\(972\) | 0.936601 | − | 31.1628i | 0.0300415 | − | 0.999549i | ||||
\(973\) | 25.9172i | 0.830868i | ||||||||
\(974\) | 5.89907 | + | 16.6728i | 0.189018 | + | 0.534231i | ||||
\(975\) | 25.2471 | − | 51.4492i | 0.808555 | − | 1.64769i | ||||
\(976\) | 34.5951 | + | 21.6695i | 1.10736 | + | 0.693624i | ||||
\(977\) | 14.3412 | + | 12.0337i | 0.458817 | + | 0.384993i | 0.842696 | − | 0.538390i | \(-0.180967\pi\) |
−0.383879 | + | 0.923384i | \(0.625412\pi\) | |||||||
\(978\) | 17.5038 | + | 2.04185i | 0.559710 | + | 0.0652913i | ||||
\(979\) | −10.1925 | + | 28.0036i | −0.325753 | + | 0.895000i | ||||
\(980\) | −18.3783 | + | 21.1187i | −0.587072 | + | 0.674611i | ||||
\(981\) | 19.1070 | − | 14.7803i | 0.610040 | − | 0.471897i | ||||
\(982\) | −8.12224 | − | 3.03929i | −0.259191 | − | 0.0969875i | ||||
\(983\) | 25.7958 | − | 21.6452i | 0.822758 | − | 0.690376i | −0.130858 | − | 0.991401i | \(-0.541773\pi\) |
0.953616 | + | 0.301025i | \(0.0973288\pi\) | |||||||
\(984\) | 34.8223 | − | 14.2926i | 1.11009 | − | 0.455631i | ||||
\(985\) | 4.61197 | − | 26.1558i | 0.146950 | − | 0.833392i | ||||
\(986\) | −29.7235 | − | 0.267434i | −0.946590 | − | 0.00851683i | ||||
\(987\) | −15.1025 | − | 34.1420i | −0.480717 | − | 1.08675i | ||||
\(988\) | 0.683212 | − | 1.13566i | 0.0217359 | − | 0.0361303i | ||||
\(989\) | −1.14011 | − | 0.658241i | −0.0362533 | − | 0.0209309i | ||||
\(990\) | −22.3207 | + | 34.6459i | −0.709398 | + | 1.10112i | ||||
\(991\) | 29.0441 | + | 50.3059i | 0.922617 | + | 1.59802i | 0.795350 | + | 0.606150i | \(0.207287\pi\) |
0.127266 | + | 0.991869i | \(0.459380\pi\) | |||||||
\(992\) | −35.3870 | + | 18.3605i | −1.12354 | + | 0.582946i | ||||
\(993\) | 27.2926 | − | 26.2293i | 0.866105 | − | 0.832362i | ||||
\(994\) | 22.4784 | + | 13.2490i | 0.712972 | + | 0.420232i | ||||
\(995\) | 12.6495 | + | 34.7542i | 0.401016 | + | 1.10178i | ||||
\(996\) | 12.1747 | − | 5.12549i | 0.385770 | − | 0.162408i | ||||
\(997\) | 19.6537 | − | 3.46548i | 0.622439 | − | 0.109753i | 0.146470 | − | 0.989215i | \(-0.453209\pi\) |
0.475969 | + | 0.879462i | \(0.342098\pi\) | |||||||
\(998\) | 2.11638 | + | 12.6680i | 0.0669927 | + | 0.400999i | ||||
\(999\) | −5.29352 | + | 15.8996i | −0.167480 | + | 0.503043i |
(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 | 216.2.t.a.13.15 | ✓ | 204 | |
3.2 | odd | 2 | 648.2.t.a.253.20 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.337.5 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.337.30 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.13.16 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.253.19 | 204 | |||
27.2 | odd | 18 | 648.2.t.a.397.19 | 204 | |||
27.25 | even | 9 | inner | 216.2.t.a.133.16 | yes | 204 | |
108.79 | odd | 18 | 864.2.bf.a.241.30 | 204 | |||
216.29 | odd | 18 | 648.2.t.a.397.20 | 204 | |||
216.133 | even | 18 | inner | 216.2.t.a.133.15 | yes | 204 | |
216.187 | odd | 18 | 864.2.bf.a.241.5 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.15 | ✓ | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.13.16 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.133.15 | yes | 204 | 216.133 | even | 18 | inner | |
216.2.t.a.133.16 | yes | 204 | 27.25 | even | 9 | inner | |
648.2.t.a.253.19 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.253.20 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.397.19 | 204 | 27.2 | odd | 18 | |||
648.2.t.a.397.20 | 204 | 216.29 | odd | 18 | |||
864.2.bf.a.241.5 | 204 | 216.187 | odd | 18 | |||
864.2.bf.a.241.30 | 204 | 108.79 | odd | 18 | |||
864.2.bf.a.337.5 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.337.30 | 204 | 8.3 | odd | 2 |