Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.19 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.19 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0302615 | − | 0.0116163i | 0.0213981 | − | 0.00821396i | −0.347645 | − | 0.937626i | \(-0.613019\pi\) |
0.369043 | + | 0.929412i | \(0.379685\pi\) | |||||||
\(3\) | 2.11154 | + | 0.221931i | 1.21910 | + | 0.128132i | 0.692142 | − | 0.721762i | \(-0.256667\pi\) |
0.526954 | + | 0.849894i | \(0.323334\pi\) | |||||||
\(4\) | −1.48551 | + | 1.33756i | −0.742754 | + | 0.668779i | ||||
\(5\) | −0.761137 | + | 0.761137i | −0.340391 | + | 0.340391i | −0.856514 | − | 0.516123i | \(-0.827375\pi\) |
0.516123 | + | 0.856514i | \(0.327375\pi\) | |||||||
\(6\) | 0.0664762 | − | 0.0178122i | 0.0271388 | − | 0.00727182i | ||||
\(7\) | −0.0268833 | + | 0.512964i | −0.0101609 | + | 0.193882i | 0.988833 | + | 0.149030i | \(0.0476151\pi\) |
−0.998994 | + | 0.0448524i | \(0.985718\pi\) | |||||||
\(8\) | −0.0588479 | + | 0.115496i | −0.0208059 | + | 0.0408338i | ||||
\(9\) | 1.47489 | + | 0.313497i | 0.491629 | + | 0.104499i | ||||
\(10\) | −0.0141915 | + | 0.0318747i | −0.00448776 | + | 0.0100797i | ||||
\(11\) | −2.80781 | + | 4.32365i | −0.846587 | + | 1.30363i | 0.104444 | + | 0.994531i | \(0.466694\pi\) |
−0.951030 | + | 0.309098i | \(0.899973\pi\) | |||||||
\(12\) | −3.43355 | + | 2.49462i | −0.991181 | + | 0.720135i | ||||
\(13\) | 2.91941 | + | 2.11591i | 0.809698 | + | 0.586847i | ||||
\(14\) | 0.00514522 | + | 0.0158353i | 0.00137512 | + | 0.00423217i | ||||
\(15\) | −1.77609 | + | 1.43825i | −0.458584 | + | 0.371354i | ||||
\(16\) | 0.417455 | − | 3.97182i | 0.104364 | − | 0.992955i | ||||
\(17\) | 5.51495 | + | 1.17224i | 1.33757 | + | 0.284310i | 0.820507 | − | 0.571636i | \(-0.193691\pi\) |
0.517065 | + | 0.855946i | \(0.327024\pi\) | |||||||
\(18\) | 0.0482739 | − | 0.00764584i | 0.0113783 | − | 0.00180214i | ||||
\(19\) | −0.630201 | − | 0.510327i | −0.144578 | − | 0.117077i | 0.554303 | − | 0.832315i | \(-0.312985\pi\) |
−0.698881 | + | 0.715238i | \(0.746318\pi\) | |||||||
\(20\) | 0.112611 | − | 2.14874i | 0.0251805 | − | 0.480473i | ||||
\(21\) | −0.170608 | + | 1.07718i | −0.0372297 | + | 0.235059i | ||||
\(22\) | −0.0347437 | + | 0.163456i | −0.00740738 | + | 0.0348490i | ||||
\(23\) | −2.69121 | + | 2.98889i | −0.561155 | + | 0.623226i | −0.955234 | − | 0.295850i | \(-0.904397\pi\) |
0.394079 | + | 0.919077i | \(0.371064\pi\) | |||||||
\(24\) | −0.149892 | + | 0.230813i | −0.0305965 | + | 0.0471145i | ||||
\(25\) | 3.84134i | 0.768268i | ||||||||
\(26\) | 0.112925 | + | 0.0301177i | 0.0221463 | + | 0.00590657i | ||||
\(27\) | −3.01305 | − | 0.979000i | −0.579862 | − | 0.188409i | ||||
\(28\) | −0.646184 | − | 0.797971i | −0.122117 | − | 0.150802i | ||||
\(29\) | 1.70000 | − | 3.81826i | 0.315682 | − | 0.709033i | −0.684111 | − | 0.729378i | \(-0.739810\pi\) |
0.999793 | + | 0.0203448i | \(0.00647640\pi\) | |||||||
\(30\) | −0.0370400 | + | 0.0641551i | −0.00676254 | + | 0.0117131i | ||||
\(31\) | 2.45412 | − | 4.99773i | 0.440772 | − | 0.897619i | ||||
\(32\) | −0.100603 | − | 0.375456i | −0.0177843 | − | 0.0663719i | ||||
\(33\) | −6.88834 | + | 8.50640i | −1.19911 | + | 1.48077i | ||||
\(34\) | 0.180508 | − | 0.0285896i | 0.0309568 | − | 0.00490308i | ||||
\(35\) | −0.369974 | − | 0.410898i | −0.0625371 | − | 0.0694545i | ||||
\(36\) | −2.61028 | + | 1.50704i | −0.435046 | + | 0.251174i | ||||
\(37\) | −1.13460 | − | 0.304016i | −0.186528 | − | 0.0499799i | 0.164346 | − | 0.986403i | \(-0.447449\pi\) |
−0.350874 | + | 0.936423i | \(0.614115\pi\) | |||||||
\(38\) | −0.0249989 | − | 0.00812264i | −0.00405536 | − | 0.00131767i | ||||
\(39\) | 5.69485 | + | 5.11572i | 0.911906 | + | 0.819170i | ||||
\(40\) | −0.0431166 | − | 0.132699i | −0.00681734 | − | 0.0209816i | ||||
\(41\) | 1.36003 | − | 0.522066i | 0.212401 | − | 0.0815330i | −0.249841 | − | 0.968287i | \(-0.580378\pi\) |
0.462242 | + | 0.886754i | \(0.347045\pi\) | |||||||
\(42\) | 0.00734995 | + | 0.0345788i | 0.00113412 | + | 0.00533562i | ||||
\(43\) | −1.09535 | − | 10.4215i | −0.167039 | − | 1.58927i | −0.681540 | − | 0.731781i | \(-0.738689\pi\) |
0.514500 | − | 0.857490i | \(-0.327977\pi\) | |||||||
\(44\) | −1.61210 | − | 10.1784i | −0.243034 | − | 1.53446i | ||||
\(45\) | −1.36121 | + | 0.883977i | −0.202917 | + | 0.131776i | ||||
\(46\) | −0.0467201 | + | 0.121710i | −0.00688850 | + | 0.0179452i | ||||
\(47\) | 0.597684 | + | 3.77363i | 0.0871812 | + | 0.550440i | 0.992159 | + | 0.124982i | \(0.0398872\pi\) |
−0.904978 | + | 0.425459i | \(0.860113\pi\) | |||||||
\(48\) | 1.76294 | − | 8.29399i | 0.254459 | − | 1.19713i | ||||
\(49\) | 6.69924 | + | 0.704119i | 0.957035 | + | 0.100588i | ||||
\(50\) | 0.0446221 | + | 0.116245i | 0.00631052 | + | 0.0164395i | ||||
\(51\) | 11.3849 | + | 3.69917i | 1.59420 | + | 0.517987i | ||||
\(52\) | −7.16695 | + | 0.761683i | −0.993878 | + | 0.105626i | ||||
\(53\) | 11.6841 | − | 3.79640i | 1.60494 | − | 0.521476i | 0.636615 | − | 0.771182i | \(-0.280334\pi\) |
0.968322 | + | 0.249706i | \(0.0803340\pi\) | |||||||
\(54\) | −0.102552 | + | 0.00537451i | −0.0139555 | + | 0.000731378i | ||||
\(55\) | −1.15376 | − | 5.42802i | −0.155573 | − | 0.731914i | ||||
\(56\) | −0.0576631 | − | 0.0332918i | −0.00770555 | − | 0.00444880i | ||||
\(57\) | −1.21743 | − | 1.21743i | −0.161253 | − | 0.161253i | ||||
\(58\) | 0.00709045 | − | 0.135294i | 0.000931022 | − | 0.0177650i | ||||
\(59\) | 7.98705 | + | 3.06594i | 1.03983 | + | 0.399152i | 0.817565 | − | 0.575836i | \(-0.195323\pi\) |
0.222260 | + | 0.974987i | \(0.428657\pi\) | |||||||
\(60\) | 0.714655 | − | 4.51215i | 0.0922615 | − | 0.582516i | ||||
\(61\) | −4.51942 | − | 2.60929i | −0.578653 | − | 0.334085i | 0.181945 | − | 0.983309i | \(-0.441761\pi\) |
−0.760598 | + | 0.649223i | \(0.775094\pi\) | |||||||
\(62\) | 0.0162101 | − | 0.179746i | 0.00205868 | − | 0.0228278i | ||||
\(63\) | −0.200463 | + | 0.748137i | −0.0252559 | + | 0.0942564i | ||||
\(64\) | 4.68747 | + | 6.45174i | 0.585933 | + | 0.806468i | ||||
\(65\) | −3.83256 | + | 0.611576i | −0.475371 | + | 0.0758567i | ||||
\(66\) | −0.109639 | + | 0.337433i | −0.0134956 | + | 0.0415352i | ||||
\(67\) | −12.0263 | − | 3.22244i | −1.46925 | − | 0.393683i | −0.566573 | − | 0.824011i | \(-0.691731\pi\) |
−0.902673 | + | 0.430328i | \(0.858398\pi\) | |||||||
\(68\) | −9.76045 | + | 5.63520i | −1.18363 | + | 0.683368i | ||||
\(69\) | −6.34591 | + | 5.71388i | −0.763958 | + | 0.687870i | ||||
\(70\) | −0.0159691 | − | 0.00813666i | −0.00190867 | − | 0.000972517i | ||||
\(71\) | −4.64109 | + | 3.01396i | −0.550796 | + | 0.357691i | −0.789836 | − | 0.613319i | \(-0.789834\pi\) |
0.239039 | + | 0.971010i | \(0.423168\pi\) | |||||||
\(72\) | −0.123002 | + | 0.151894i | −0.0144959 | + | 0.0179009i | ||||
\(73\) | 1.45968 | + | 2.86479i | 0.170843 | + | 0.335299i | 0.960514 | − | 0.278232i | \(-0.0897485\pi\) |
−0.789671 | + | 0.613531i | \(0.789749\pi\) | |||||||
\(74\) | −0.0378663 | + | 0.00397991i | −0.00440187 | + | 0.000462655i | ||||
\(75\) | −0.852514 | + | 8.11113i | −0.0984398 | + | 0.936592i | ||||
\(76\) | 1.61876 | − | 0.0848357i | 0.185685 | − | 0.00973132i | ||||
\(77\) | −2.14239 | − | 1.55654i | −0.244148 | − | 0.177384i | ||||
\(78\) | 0.231760 | + | 0.0886561i | 0.0262417 | + | 0.0100383i | ||||
\(79\) | 14.0345 | − | 4.56010i | 1.57901 | − | 0.513051i | 0.617207 | − | 0.786801i | \(-0.288264\pi\) |
0.961801 | + | 0.273750i | \(0.0882640\pi\) | |||||||
\(80\) | 2.70536 | + | 3.34084i | 0.302468 | + | 0.373517i | ||||
\(81\) | −10.2773 | − | 4.57576i | −1.14193 | − | 0.508418i | ||||
\(82\) | 0.0350920 | − | 0.0315970i | 0.00387526 | − | 0.00348930i | ||||
\(83\) | 10.5695 | + | 1.67404i | 1.16015 | + | 0.183749i | 0.706687 | − | 0.707527i | \(-0.250189\pi\) |
0.453461 | + | 0.891276i | \(0.350189\pi\) | |||||||
\(84\) | −1.18735 | − | 1.82835i | −0.129550 | − | 0.199490i | ||||
\(85\) | −5.08987 | + | 3.30540i | −0.552074 | + | 0.358521i | ||||
\(86\) | −0.154207 | − | 0.302648i | −0.0166285 | − | 0.0326353i | ||||
\(87\) | 4.43700 | − | 7.68511i | 0.475696 | − | 0.823930i | ||||
\(88\) | −0.334128 | − | 0.578727i | −0.0356182 | − | 0.0616925i | ||||
\(89\) | −1.17583 | + | 1.81062i | −0.124637 | + | 0.191925i | −0.895481 | − | 0.445100i | \(-0.853168\pi\) |
0.770844 | + | 0.637024i | \(0.219835\pi\) | |||||||
\(90\) | −0.0309236 | + | 0.0425626i | −0.00325963 | + | 0.00448649i | ||||
\(91\) | −1.16387 | + | 1.44067i | −0.122006 | + | 0.151023i | ||||
\(92\) | − | 8.03967i | − | 0.838193i | ||||||
\(93\) | 6.29111 | − | 10.0082i | 0.652357 | − | 1.03781i | ||||
\(94\) | 0.0619224 | + | 0.107253i | 0.00638681 | + | 0.0110623i | ||||
\(95\) | 0.868098 | − | 0.0912408i | 0.0890650 | − | 0.00936111i | ||||
\(96\) | −0.129102 | − | 0.815116i | −0.0131764 | − | 0.0831924i | ||||
\(97\) | −9.81716 | − | 0.514495i | −0.996781 | − | 0.0522391i | −0.453038 | − | 0.891491i | \(-0.649660\pi\) |
−0.543743 | + | 0.839252i | \(0.682993\pi\) | |||||||
\(98\) | 0.210908 | − | 0.0565127i | 0.0213050 | − | 0.00570864i | ||||
\(99\) | −5.49665 | + | 5.49665i | −0.552434 | + | 0.552434i | ||||
\(100\) | −5.13802 | − | 5.70634i | −0.513802 | − | 0.570634i | ||||
\(101\) | −5.18967 | − | 4.67280i | −0.516391 | − | 0.464961i | 0.369250 | − | 0.929330i | \(-0.379614\pi\) |
−0.885642 | + | 0.464369i | \(0.846281\pi\) | |||||||
\(102\) | 0.387493 | − | 0.0203077i | 0.0383676 | − | 0.00201076i | ||||
\(103\) | 1.78644 | + | 2.45883i | 0.176023 | + | 0.242275i | 0.887908 | − | 0.460021i | \(-0.152158\pi\) |
−0.711885 | + | 0.702296i | \(0.752158\pi\) | |||||||
\(104\) | −0.416179 | + | 0.212662i | −0.0408097 | + | 0.0208532i | ||||
\(105\) | −0.690023 | − | 0.949735i | −0.0673394 | − | 0.0926847i | ||||
\(106\) | 0.309479 | − | 0.250611i | 0.0300592 | − | 0.0243415i | ||||
\(107\) | 6.34986 | − | 7.05223i | 0.613864 | − | 0.681765i | −0.353419 | − | 0.935465i | \(-0.614981\pi\) |
0.967283 | + | 0.253700i | \(0.0816477\pi\) | |||||||
\(108\) | 5.78539 | − | 2.57582i | 0.556699 | − | 0.247858i | ||||
\(109\) | 12.2794 | − | 1.94486i | 1.17615 | − | 0.186284i | 0.462391 | − | 0.886676i | \(-0.346992\pi\) |
0.713758 | + | 0.700393i | \(0.246992\pi\) | |||||||
\(110\) | −0.0979680 | − | 0.150857i | −0.00934088 | − | 0.0143837i | ||||
\(111\) | −2.32828 | − | 0.893745i | −0.220991 | − | 0.0848305i | ||||
\(112\) | 2.02618 | + | 0.320915i | 0.191456 | + | 0.0303236i | ||||
\(113\) | −7.67640 | − | 8.52551i | −0.722135 | − | 0.802012i | 0.264599 | − | 0.964359i | \(-0.414761\pi\) |
−0.986734 | + | 0.162346i | \(0.948094\pi\) | |||||||
\(114\) | −0.0509835 | − | 0.0226993i | −0.00477504 | − | 0.00212598i | ||||
\(115\) | −0.226576 | − | 4.32333i | −0.0211283 | − | 0.403153i | ||||
\(116\) | 2.58178 | + | 7.94590i | 0.239712 | + | 0.737759i | ||||
\(117\) | 3.64247 | + | 4.03595i | 0.336746 | + | 0.373123i | ||||
\(118\) | 0.277315 | 0.0255289 | ||||||||
\(119\) | −0.749577 | + | 2.79746i | −0.0687136 | + | 0.256443i | ||||
\(120\) | −0.0615921 | − | 0.289768i | −0.00562257 | − | 0.0264521i | ||||
\(121\) | −6.33603 | − | 14.2310i | −0.576003 | − | 1.29372i | ||||
\(122\) | −0.167075 | − | 0.0264620i | −0.0151262 | − | 0.00239576i | ||||
\(123\) | 2.98761 | − | 0.800528i | 0.269384 | − | 0.0721812i | ||||
\(124\) | 3.03914 | + | 10.7067i | 0.272923 | + | 0.961490i | ||||
\(125\) | −6.72947 | − | 6.72947i | −0.601902 | − | 0.601902i | ||||
\(126\) | 0.00262428 | + | 0.0249684i | 0.000233789 | + | 0.00222436i | ||||
\(127\) | 0.780721 | − | 7.42807i | 0.0692778 | − | 0.659134i | −0.903689 | − | 0.428189i | \(-0.859152\pi\) |
0.972967 | − | 0.230945i | \(-0.0741817\pi\) | |||||||
\(128\) | 0.868779 | + | 0.564192i | 0.0767899 | + | 0.0498680i | ||||
\(129\) | − | 22.2486i | − | 1.95888i | ||||||
\(130\) | −0.108875 | + | 0.0630274i | −0.00954895 | + | 0.00552787i | ||||
\(131\) | −4.20521 | + | 12.9423i | −0.367411 | + | 1.13077i | 0.581047 | + | 0.813870i | \(0.302643\pi\) |
−0.948458 | + | 0.316904i | \(0.897357\pi\) | |||||||
\(132\) | −1.14510 | − | 21.8499i | −0.0996685 | − | 1.90179i | ||||
\(133\) | 0.278721 | − | 0.309552i | 0.0241682 | − | 0.0268415i | ||||
\(134\) | −0.401366 | + | 0.0421853i | −0.0346728 | + | 0.00364425i | ||||
\(135\) | 3.03850 | − | 1.54819i | 0.261512 | − | 0.133247i | ||||
\(136\) | −0.459932 | + | 0.567969i | −0.0394388 | + | 0.0487029i | ||||
\(137\) | −7.09584 | + | 18.4853i | −0.606238 | + | 1.57931i | 0.194898 | + | 0.980824i | \(0.437562\pi\) |
−0.801137 | + | 0.598482i | \(0.795771\pi\) | |||||||
\(138\) | −0.125662 | + | 0.246626i | −0.0106971 | + | 0.0209942i | ||||
\(139\) | 3.15529 | + | 7.08690i | 0.267628 | + | 0.601103i | 0.996504 | − | 0.0835430i | \(-0.0266236\pi\) |
−0.728876 | + | 0.684646i | \(0.759957\pi\) | |||||||
\(140\) | 1.09920 | + | 0.115531i | 0.0928994 | + | 0.00976412i | ||||
\(141\) | 0.424545 | + | 8.10080i | 0.0357531 | + | 0.682210i | ||||
\(142\) | −0.105435 | + | 0.145119i | −0.00884793 | + | 0.0121781i | ||||
\(143\) | −17.3456 | + | 6.68143i | −1.45051 | + | 0.558730i | ||||
\(144\) | 1.86085 | − | 5.72711i | 0.155071 | − | 0.477259i | ||||
\(145\) | 1.61229 | + | 4.20015i | 0.133893 | + | 0.348804i | ||||
\(146\) | 0.0774505 | + | 0.0697367i | 0.00640985 | + | 0.00577145i | ||||
\(147\) | 13.9894 | + | 2.97354i | 1.15383 | + | 0.245254i | ||||
\(148\) | 2.09210 | − | 1.06598i | 0.171970 | − | 0.0876229i | ||||
\(149\) | 2.39019 | + | 8.92032i | 0.195812 | + | 0.730781i | 0.992055 | + | 0.125804i | \(0.0401510\pi\) |
−0.796243 | + | 0.604977i | \(0.793182\pi\) | |||||||
\(150\) | 0.0684229 | + | 0.255358i | 0.00558671 | + | 0.0208499i | ||||
\(151\) | −9.63283 | − | 18.9055i | −0.783908 | − | 1.53851i | −0.841556 | − | 0.540170i | \(-0.818360\pi\) |
0.0576480 | − | 0.998337i | \(-0.481640\pi\) | |||||||
\(152\) | 0.0960265 | − | 0.0427538i | 0.00778878 | − | 0.00346779i | ||||
\(153\) | 7.76644 | + | 3.45784i | 0.627879 | + | 0.279550i | ||||
\(154\) | −0.0829133 | − | 0.0222165i | −0.00668134 | − | 0.00179026i | ||||
\(155\) | 1.93604 | + | 5.67188i | 0.155506 | + | 0.455576i | ||||
\(156\) | −15.3023 | + | 0.0177485i | −1.22517 | + | 0.00142102i | ||||
\(157\) | 10.7247 | − | 7.79195i | 0.855924 | − | 0.621865i | −0.0708489 | − | 0.997487i | \(-0.522571\pi\) |
0.926773 | + | 0.375622i | \(0.122571\pi\) | |||||||
\(158\) | 0.371734 | − | 0.301024i | 0.0295736 | − | 0.0239482i | ||||
\(159\) | 25.5140 | − | 5.42316i | 2.02339 | − | 0.430085i | ||||
\(160\) | 0.362346 | + | 0.209201i | 0.0286460 | + | 0.0165388i | ||||
\(161\) | −1.46084 | − | 1.46084i | −0.115131 | − | 0.115131i | ||||
\(162\) | −0.364161 | − | 0.0190848i | −0.0286112 | − | 0.00149945i | ||||
\(163\) | −9.98410 | − | 15.3742i | −0.782015 | − | 1.20420i | −0.974827 | − | 0.222961i | \(-0.928428\pi\) |
0.192813 | − | 0.981236i | \(-0.438239\pi\) | |||||||
\(164\) | −1.32204 | + | 2.59465i | −0.103234 | + | 0.202608i | ||||
\(165\) | −1.23156 | − | 11.7175i | −0.0958768 | − | 0.912207i | ||||
\(166\) | 0.339293 | − | 0.0721190i | 0.0263343 | − | 0.00559752i | ||||
\(167\) | −18.4000 | + | 7.06309i | −1.42383 | + | 0.546558i | −0.943749 | − | 0.330664i | \(-0.892727\pi\) |
−0.480085 | + | 0.877222i | \(0.659394\pi\) | |||||||
\(168\) | −0.114369 | − | 0.0830941i | −0.00882377 | − | 0.00641085i | ||||
\(169\) | 4.04589 | + | 12.3544i | 0.311222 | + | 0.950337i | ||||
\(170\) | −0.115631 | + | 0.159152i | −0.00886846 | + | 0.0122064i | ||||
\(171\) | −0.769490 | − | 0.950241i | −0.0588443 | − | 0.0726667i | ||||
\(172\) | 15.5666 | + | 14.0162i | 1.18694 | + | 1.06873i | ||||
\(173\) | 7.36389 | + | 16.5396i | 0.559866 | + | 1.25748i | 0.942693 | + | 0.333661i | \(0.108284\pi\) |
−0.382827 | + | 0.923820i | \(0.625049\pi\) | |||||||
\(174\) | 0.0449977 | − | 0.284104i | 0.00341127 | − | 0.0215379i | ||||
\(175\) | −1.97047 | − | 0.103268i | −0.148954 | − | 0.00780633i | ||||
\(176\) | 16.0006 | + | 12.9570i | 1.20609 | + | 0.976674i | ||||
\(177\) | 16.1845 | + | 8.24642i | 1.21650 | + | 0.619839i | ||||
\(178\) | −0.0145496 | + | 0.0684507i | −0.00109054 | + | 0.00513059i | ||||
\(179\) | −11.1127 | + | 2.36209i | −0.830606 | + | 0.176551i | −0.603544 | − | 0.797330i | \(-0.706245\pi\) |
−0.227062 | + | 0.973880i | \(0.572912\pi\) | |||||||
\(180\) | 0.839712 | − | 3.13385i | 0.0625884 | − | 0.233583i | ||||
\(181\) | 12.3315 | 0.916593 | 0.458296 | − | 0.888799i | \(-0.348460\pi\) | ||||
0.458296 | + | 0.888799i | \(0.348460\pi\) | |||||||
\(182\) | −0.0184851 | + | 0.0571166i | −0.00137021 | + | 0.00423377i | ||||
\(183\) | −8.96384 | − | 6.51261i | −0.662626 | − | 0.481426i | ||||
\(184\) | −0.186831 | − | 0.486712i | −0.0137734 | − | 0.0358809i | ||||
\(185\) | 1.09499 | − | 0.632191i | 0.0805050 | − | 0.0464796i | ||||
\(186\) | 0.0741195 | − | 0.375944i | 0.00543471 | − | 0.0275655i | ||||
\(187\) | −20.5533 | + | 20.5533i | −1.50301 | + | 1.50301i | ||||
\(188\) | −5.93531 | − | 4.80632i | −0.432877 | − | 0.350537i | ||||
\(189\) | 0.583193 | − | 1.51927i | 0.0424211 | − | 0.110511i | ||||
\(190\) | 0.0252101 | − | 0.0128452i | 0.00182893 | − | 0.000931886i | ||||
\(191\) | −2.65763 | + | 4.60315i | −0.192299 | + | 0.333072i | −0.946012 | − | 0.324132i | \(-0.894928\pi\) |
0.753712 | + | 0.657204i | \(0.228261\pi\) | |||||||
\(192\) | 8.46591 | + | 14.6634i | 0.610974 | + | 1.05824i | ||||
\(193\) | −0.629747 | − | 0.408963i | −0.0453302 | − | 0.0294378i | 0.521775 | − | 0.853083i | \(-0.325270\pi\) |
−0.567105 | + | 0.823645i | \(0.691937\pi\) | |||||||
\(194\) | −0.303058 | + | 0.0984696i | −0.0217583 | + | 0.00706970i | ||||
\(195\) | −8.22833 | + | 0.440799i | −0.589243 | + | 0.0315663i | ||||
\(196\) | −10.8936 | + | 7.91465i | −0.778113 | + | 0.565332i | ||||
\(197\) | 15.5566 | + | 10.1026i | 1.10836 | + | 0.719777i | 0.962973 | − | 0.269598i | \(-0.0868907\pi\) |
0.145387 | + | 0.989375i | \(0.453557\pi\) | |||||||
\(198\) | −0.102486 | + | 0.230188i | −0.00728337 | + | 0.0163587i | ||||
\(199\) | 7.73679 | − | 3.44464i | 0.548447 | − | 0.244184i | −0.113756 | − | 0.993509i | \(-0.536288\pi\) |
0.662203 | + | 0.749324i | \(0.269622\pi\) | |||||||
\(200\) | −0.443658 | − | 0.226055i | −0.0313713 | − | 0.0159845i | ||||
\(201\) | −24.6788 | − | 9.47330i | −1.74071 | − | 0.668195i | ||||
\(202\) | −0.211328 | − | 0.0811211i | −0.0148690 | − | 0.00570766i | ||||
\(203\) | 1.91293 | + | 0.974686i | 0.134261 | + | 0.0684096i | ||||
\(204\) | −21.8602 | + | 9.73277i | −1.53052 | + | 0.681430i | ||||
\(205\) | −0.637804 | + | 1.43253i | −0.0445462 | + | 0.100052i | ||||
\(206\) | 0.0826228 | + | 0.0536559i | 0.00575660 | + | 0.00373838i | ||||
\(207\) | −4.90623 | + | 3.56459i | −0.341007 | + | 0.247756i | ||||
\(208\) | 9.62271 | − | 10.7121i | 0.667215 | − | 0.742748i | ||||
\(209\) | 3.97596 | − | 1.29187i | 0.275023 | − | 0.0893603i | ||||
\(210\) | −0.0319135 | − | 0.0207249i | −0.00220224 | − | 0.00143015i | ||||
\(211\) | 3.74581 | + | 6.48794i | 0.257872 | + | 0.446648i | 0.965672 | − | 0.259765i | \(-0.0836453\pi\) |
−0.707799 | + | 0.706414i | \(0.750312\pi\) | |||||||
\(212\) | −12.2790 | + | 21.2678i | −0.843322 | + | 1.46068i | ||||
\(213\) | −10.4687 | + | 5.33408i | −0.717305 | + | 0.365485i | ||||
\(214\) | 0.110235 | − | 0.287173i | 0.00753553 | − | 0.0196307i | ||||
\(215\) | 8.76594 | + | 7.09852i | 0.597832 | + | 0.484115i | ||||
\(216\) | 0.290382 | − | 0.290382i | 0.0197580 | − | 0.0197580i | ||||
\(217\) | 2.49768 | + | 1.39323i | 0.169554 | + | 0.0945786i | ||||
\(218\) | 0.348999 | − | 0.201495i | 0.0236372 | − | 0.0136470i | ||||
\(219\) | 2.44639 | + | 6.37306i | 0.165312 | + | 0.430652i | ||||
\(220\) | 8.97421 | + | 6.52015i | 0.605041 | + | 0.439588i | ||||
\(221\) | 13.6201 | + | 15.0914i | 0.916184 | + | 1.01515i | ||||
\(222\) | −0.0808393 | −0.00542558 | ||||||||
\(223\) | −1.55735 | + | 5.81213i | −0.104288 | + | 0.389209i | −0.998263 | − | 0.0589076i | \(-0.981238\pi\) |
0.893975 | + | 0.448116i | \(0.147905\pi\) | |||||||
\(224\) | 0.195300 | − | 0.0415123i | 0.0130490 | − | 0.00277366i | ||||
\(225\) | −1.20425 | + | 5.66554i | −0.0802832 | + | 0.377703i | ||||
\(226\) | −0.331334 | − | 0.168823i | −0.0220400 | − | 0.0112299i | ||||
\(227\) | 5.36747 | + | 4.34649i | 0.356251 | + | 0.288487i | 0.790692 | − | 0.612214i | \(-0.209721\pi\) |
−0.434441 | + | 0.900700i | \(0.643054\pi\) | |||||||
\(228\) | 3.43690 | + | 0.180120i | 0.227614 | + | 0.0119288i | ||||
\(229\) | −0.471750 | + | 2.97851i | −0.0311741 | + | 0.196826i | −0.998360 | − | 0.0572432i | \(-0.981769\pi\) |
0.967186 | + | 0.254069i | \(0.0817689\pi\) | |||||||
\(230\) | −0.0570776 | − | 0.128198i | −0.00376359 | − | 0.00845316i | ||||
\(231\) | −4.17830 | − | 3.76216i | −0.274912 | − | 0.247532i | ||||
\(232\) | 0.340950 | + | 0.421039i | 0.0223845 | + | 0.0276426i | ||||
\(233\) | −13.3861 | + | 18.4244i | −0.876953 | + | 1.20702i | 0.100303 | + | 0.994957i | \(0.468019\pi\) |
−0.977256 | + | 0.212065i | \(0.931981\pi\) | |||||||
\(234\) | 0.157109 | + | 0.0798217i | 0.0102705 | + | 0.00521811i | ||||
\(235\) | −3.32717 | − | 2.41733i | −0.217041 | − | 0.157689i | ||||
\(236\) | −15.9657 | + | 6.12866i | −1.03928 | + | 0.398942i | ||||
\(237\) | 30.6464 | − | 6.51410i | 1.99070 | − | 0.423136i | ||||
\(238\) | 0.00981281 | + | 0.0933626i | 0.000636070 | + | 0.00605180i | ||||
\(239\) | 2.73957 | − | 5.37671i | 0.177208 | − | 0.347790i | −0.785269 | − | 0.619155i | \(-0.787475\pi\) |
0.962476 | + | 0.271365i | \(0.0874751\pi\) | |||||||
\(240\) | 4.97102 | + | 7.65471i | 0.320878 | + | 0.494109i | ||||
\(241\) | −5.75000 | − | 0.301345i | −0.370390 | − | 0.0194113i | −0.133767 | − | 0.991013i | \(-0.542707\pi\) |
−0.236623 | + | 0.971601i | \(0.576041\pi\) | |||||||
\(242\) | −0.357049 | − | 0.357049i | −0.0229520 | − | 0.0229520i | ||||
\(243\) | −12.4545 | − | 7.19058i | −0.798953 | − | 0.461276i | ||||
\(244\) | 10.2037 | − | 2.16887i | 0.653226 | − | 0.138848i | ||||
\(245\) | −5.63497 | + | 4.56311i | −0.360005 | + | 0.291527i | ||||
\(246\) | 0.0811104 | − | 0.0589301i | 0.00517141 | − | 0.00375725i | ||||
\(247\) | −0.760011 | − | 2.82330i | −0.0483584 | − | 0.179642i | ||||
\(248\) | 0.432796 | + | 0.577545i | 0.0274826 | + | 0.0366742i | ||||
\(249\) | 21.9463 | + | 5.88048i | 1.39079 | + | 0.372660i | ||||
\(250\) | −0.281815 | − | 0.125472i | −0.0178236 | − | 0.00793556i | ||||
\(251\) | −1.94494 | + | 0.865943i | −0.122764 | + | 0.0546578i | −0.467199 | − | 0.884152i | \(-0.654737\pi\) |
0.344436 | + | 0.938810i | \(0.388070\pi\) | |||||||
\(252\) | −0.702887 | − | 1.37949i | −0.0442777 | − | 0.0869000i | ||||
\(253\) | −5.36650 | − | 20.0281i | −0.337389 | − | 1.25915i | ||||
\(254\) | −0.0626608 | − | 0.233853i | −0.00393169 | − | 0.0146733i | ||||
\(255\) | −11.4810 | + | 5.84987i | −0.718969 | + | 0.366333i | ||||
\(256\) | −15.5682 | − | 3.30912i | −0.973013 | − | 0.206820i | ||||
\(257\) | −13.0559 | − | 11.7556i | −0.814407 | − | 0.733295i | 0.152533 | − | 0.988298i | \(-0.451257\pi\) |
−0.966940 | + | 0.255003i | \(0.917924\pi\) | |||||||
\(258\) | −0.258446 | − | 0.673275i | −0.0160901 | − | 0.0419162i | ||||
\(259\) | 0.186451 | − | 0.573838i | 0.0115855 | − | 0.0356566i | ||||
\(260\) | 4.87529 | − | 6.03478i | 0.302353 | − | 0.374261i | ||||
\(261\) | 3.70432 | − | 5.09856i | 0.229291 | − | 0.315593i | ||||
\(262\) | 0.0230857 | + | 0.440502i | 0.00142624 | + | 0.0272143i | ||||
\(263\) | 12.6991 | + | 1.33473i | 0.783062 | + | 0.0823032i | 0.487618 | − | 0.873057i | \(-0.337866\pi\) |
0.295444 | + | 0.955360i | \(0.404532\pi\) | |||||||
\(264\) | −0.577086 | − | 1.29616i | −0.0355172 | − | 0.0797729i | ||||
\(265\) | −6.00364 | + | 11.7828i | −0.368800 | + | 0.723811i | ||||
\(266\) | 0.00483868 | − | 0.0126052i | 0.000296679 | − | 0.000772874i | ||||
\(267\) | −2.88463 | + | 3.56223i | −0.176537 | + | 0.218005i | ||||
\(268\) | 22.1754 | − | 11.2989i | 1.35458 | − | 0.690191i | ||||
\(269\) | 18.9465 | − | 1.99136i | 1.15519 | − | 0.121415i | 0.492501 | − | 0.870312i | \(-0.336083\pi\) |
0.662687 | + | 0.748897i | \(0.269416\pi\) | |||||||
\(270\) | 0.0739653 | − | 0.0821467i | 0.00450138 | − | 0.00499929i | ||||
\(271\) | −1.68871 | − | 32.2226i | −0.102582 | − | 1.95738i | −0.249849 | − | 0.968285i | \(-0.580381\pi\) |
0.147267 | − | 0.989097i | \(-0.452952\pi\) | |||||||
\(272\) | 6.95817 | − | 21.4150i | 0.421901 | − | 1.29848i | ||||
\(273\) | −2.77728 | + | 2.78373i | −0.168088 | + | 0.168479i | ||||
\(274\) | 0.641820i | 0.0387737i | ||||||||
\(275\) | −16.6086 | − | 10.7858i | −1.00154 | − | 0.650405i | ||||
\(276\) | 1.78425 | − | 16.9760i | 0.107399 | − | 1.02184i | ||||
\(277\) | −1.31088 | − | 12.4722i | −0.0787630 | − | 0.749380i | −0.960620 | − | 0.277864i | \(-0.910374\pi\) |
0.881858 | − | 0.471516i | \(-0.156293\pi\) | |||||||
\(278\) | 0.177807 | + | 0.177807i | 0.0106642 | + | 0.0106642i | ||||
\(279\) | 5.18632 | − | 6.60173i | 0.310497 | − | 0.395235i | ||||
\(280\) | 0.0692291 | − | 0.0185499i | 0.00413723 | − | 0.00110857i | ||||
\(281\) | 8.75826 | + | 1.38717i | 0.522474 | + | 0.0827518i | 0.412101 | − | 0.911138i | \(-0.364795\pi\) |
0.110374 | + | 0.993890i | \(0.464795\pi\) | |||||||
\(282\) | 0.106949 | + | 0.240211i | 0.00636870 | + | 0.0143043i | ||||
\(283\) | 5.72562 | + | 26.9369i | 0.340353 | + | 1.60123i | 0.732125 | + | 0.681171i | \(0.238529\pi\) |
−0.391772 | + | 0.920062i | \(0.628138\pi\) | |||||||
\(284\) | 2.86304 | − | 10.6850i | 0.169890 | − | 0.634038i | ||||
\(285\) | 1.85327 | 0.109778 | ||||||||
\(286\) | −0.447289 | + | 0.403681i | −0.0264488 | + | 0.0238702i | ||||
\(287\) | 0.231239 | + | 0.711681i | 0.0136496 | + | 0.0420092i | ||||
\(288\) | −0.0306740 | − | 0.585294i | −0.00180748 | − | 0.0344888i | ||||
\(289\) | 13.5103 | + | 6.01517i | 0.794723 | + | 0.353833i | ||||
\(290\) | 0.0975804 | + | 0.108374i | 0.00573012 | + | 0.00636394i | ||||
\(291\) | −20.6151 | − | 3.26511i | −1.20848 | − | 0.191404i | ||||
\(292\) | −6.00020 | − | 2.30326i | −0.351135 | − | 0.134788i | ||||
\(293\) | −2.62639 | − | 4.04428i | −0.153435 | − | 0.236269i | 0.753591 | − | 0.657343i | \(-0.228320\pi\) |
−0.907026 | + | 0.421074i | \(0.861653\pi\) | |||||||
\(294\) | 0.457882 | − | 0.0725214i | 0.0267042 | − | 0.00422954i | ||||
\(295\) | −8.41284 | + | 3.74564i | −0.489815 | + | 0.218080i | ||||
\(296\) | 0.101882 | − | 0.113151i | 0.00592174 | − | 0.00657676i | ||||
\(297\) | 12.6929 | − | 10.2785i | 0.736519 | − | 0.596421i | ||||
\(298\) | 0.175952 | + | 0.242177i | 0.0101926 | + | 0.0140289i | ||||
\(299\) | −14.1809 | + | 3.03145i | −0.820105 | + | 0.175313i | ||||
\(300\) | −9.58269 | − | 13.1894i | −0.553257 | − | 0.761493i | ||||
\(301\) | 5.37533 | − | 0.281709i | 0.309829 | − | 0.0162374i | ||||
\(302\) | −0.511115 | − | 0.460210i | −0.0294114 | − | 0.0264821i | ||||
\(303\) | −9.92113 | − | 11.0185i | −0.569954 | − | 0.632998i | ||||
\(304\) | −2.29001 | + | 2.29001i | −0.131341 | + | 0.131341i | ||||
\(305\) | 5.42593 | − | 1.45387i | 0.310688 | − | 0.0832486i | ||||
\(306\) | 0.275191 | + | 0.0144222i | 0.0157316 | + | 0.000824460i | ||||
\(307\) | −1.32302 | − | 8.35321i | −0.0755086 | − | 0.476743i | −0.996247 | − | 0.0865610i | \(-0.972412\pi\) |
0.920738 | − | 0.390182i | \(-0.127588\pi\) | |||||||
\(308\) | 5.26451 | − | 0.553322i | 0.299973 | − | 0.0315285i | ||||
\(309\) | 3.22644 | + | 5.58836i | 0.183546 | + | 0.317911i | ||||
\(310\) | 0.124474 | + | 0.149150i | 0.00706963 | + | 0.00847114i | ||||
\(311\) | − | 4.05673i | − | 0.230036i | −0.993363 | − | 0.115018i | \(-0.963307\pi\) | ||
0.993363 | − | 0.115018i | \(-0.0366925\pi\) | |||||||
\(312\) | −0.925973 | + | 0.356680i | −0.0524229 | + | 0.0201930i | ||||
\(313\) | −6.61905 | + | 9.11035i | −0.374131 | + | 0.514947i | −0.954018 | − | 0.299750i | \(-0.903097\pi\) |
0.579887 | + | 0.814697i | \(0.303097\pi\) | |||||||
\(314\) | 0.234032 | − | 0.360377i | 0.0132072 | − | 0.0203373i | ||||
\(315\) | −0.416855 | − | 0.722014i | −0.0234871 | − | 0.0406809i | ||||
\(316\) | −14.7490 | + | 25.5461i | −0.829698 | + | 1.43708i | ||||
\(317\) | −7.14445 | − | 14.0218i | −0.401272 | − | 0.787541i | 0.598637 | − | 0.801020i | \(-0.295709\pi\) |
−0.999909 | + | 0.0134794i | \(0.995709\pi\) | |||||||
\(318\) | 0.709093 | − | 0.460491i | 0.0397640 | − | 0.0258230i | ||||
\(319\) | 11.7355 | + | 18.0711i | 0.657064 | + | 1.01179i | ||||
\(320\) | −8.47847 | − | 1.34286i | −0.473961 | − | 0.0750680i | ||||
\(321\) | 14.9731 | − | 13.4818i | 0.835715 | − | 0.752481i | ||||
\(322\) | −0.0611769 | − | 0.0272377i | −0.00340926 | − | 0.00151790i | ||||
\(323\) | −2.87730 | − | 3.55318i | −0.160098 | − | 0.197704i | ||||
\(324\) | 21.3874 | − | 6.94919i | 1.18819 | − | 0.386066i | ||||
\(325\) | −8.12791 | + | 11.2144i | −0.450855 | + | 0.622065i | ||||
\(326\) | −0.480724 | − | 0.349267i | −0.0266249 | − | 0.0193441i | ||||
\(327\) | 26.3599 | − | 1.38146i | 1.45771 | − | 0.0763952i | ||||
\(328\) | −0.0197385 | + | 0.187800i | −0.00108988 | + | 0.0103695i | ||||
\(329\) | −1.95181 | + | 0.205143i | −0.107607 | + | 0.0113099i | ||||
\(330\) | −0.173383 | − | 0.340283i | −0.00954441 | − | 0.0187320i | ||||
\(331\) | −8.10819 | + | 10.0128i | −0.445666 | + | 0.550352i | −0.949630 | − | 0.313373i | \(-0.898541\pi\) |
0.503964 | + | 0.863725i | \(0.331874\pi\) | |||||||
\(332\) | −17.9401 | + | 11.6505i | −0.984593 | + | 0.639402i | ||||
\(333\) | −1.57810 | − | 0.804084i | −0.0864795 | − | 0.0440635i | ||||
\(334\) | −0.474764 | + | 0.427479i | −0.0259779 | + | 0.0233906i | ||||
\(335\) | 11.6064 | − | 6.70095i | 0.634124 | − | 0.366112i | ||||
\(336\) | 4.20713 | + | 1.12730i | 0.229518 | + | 0.0614991i | ||||
\(337\) | 4.71319 | − | 14.5057i | 0.256744 | − | 0.790177i | −0.736737 | − | 0.676179i | \(-0.763634\pi\) |
0.993481 | − | 0.113997i | \(-0.0363656\pi\) | |||||||
\(338\) | 0.265947 | + | 0.326864i | 0.0144656 | + | 0.0177790i | ||||
\(339\) | −14.3169 | − | 19.7055i | −0.777588 | − | 1.07026i | ||||
\(340\) | 3.13988 | − | 11.7182i | 0.170284 | − | 0.635509i | ||||
\(341\) | 14.7177 | + | 24.6434i | 0.797010 | + | 1.33452i | ||||
\(342\) | −0.0343242 | − | 0.0198171i | −0.00185604 | − | 0.00107158i | ||||
\(343\) | −1.10377 | + | 6.96895i | −0.0595982 | + | 0.376288i | ||||
\(344\) | 1.26810 | + | 0.486779i | 0.0683714 | + | 0.0262453i | ||||
\(345\) | 0.481059 | − | 9.17916i | 0.0258994 | − | 0.494189i | ||||
\(346\) | 0.414971 | + | 0.414971i | 0.0223090 | + | 0.0223090i | ||||
\(347\) | −21.4867 | − | 12.4054i | −1.15347 | − | 0.665956i | −0.203739 | − | 0.979025i | \(-0.565309\pi\) |
−0.949730 | + | 0.313070i | \(0.898643\pi\) | |||||||
\(348\) | 3.68808 | + | 17.3510i | 0.197702 | + | 0.930113i | ||||
\(349\) | −8.70062 | + | 0.455980i | −0.465733 | + | 0.0244080i | −0.283760 | − | 0.958895i | \(-0.591582\pi\) |
−0.181974 | + | 0.983303i | \(0.558249\pi\) | |||||||
\(350\) | −0.0608290 | + | 0.0197645i | −0.00325144 | + | 0.00105646i | ||||
\(351\) | −6.72486 | − | 9.23344i | −0.358946 | − | 0.492844i | ||||
\(352\) | 1.90581 | + | 0.619237i | 0.101580 | + | 0.0330054i | ||||
\(353\) | 4.14581 | + | 10.8002i | 0.220659 | + | 0.574837i | 0.998566 | − | 0.0535435i | \(-0.0170516\pi\) |
−0.777906 | + | 0.628380i | \(0.783718\pi\) | |||||||
\(354\) | 0.585560 | + | 0.0615449i | 0.0311222 | + | 0.00327107i | ||||
\(355\) | 1.23847 | − | 5.82655i | 0.0657312 | − | 0.309241i | ||||
\(356\) | −0.675101 | − | 4.26242i | −0.0357803 | − | 0.225908i | ||||
\(357\) | −2.20360 | + | 5.74058i | −0.116627 | + | 0.303824i | ||||
\(358\) | −0.308849 | + | 0.200569i | −0.0163232 | + | 0.0106004i | ||||
\(359\) | −1.90688 | − | 12.0396i | −0.100641 | − | 0.635425i | −0.985514 | − | 0.169593i | \(-0.945755\pi\) |
0.884873 | − | 0.465833i | \(-0.154245\pi\) | |||||||
\(360\) | −0.0219913 | − | 0.209233i | −0.00115904 | − | 0.0110276i | ||||
\(361\) | −3.81360 | − | 17.9416i | −0.200716 | − | 0.944294i | ||||
\(362\) | 0.373169 | − | 0.143246i | 0.0196133 | − | 0.00752885i | ||||
\(363\) | −10.2205 | − | 31.4553i | −0.536435 | − | 1.65098i | ||||
\(364\) | −0.198045 | − | 3.69687i | −0.0103804 | − | 0.193769i | ||||
\(365\) | −3.29152 | − | 1.06948i | −0.172286 | − | 0.0559791i | ||||
\(366\) | −0.346912 | − | 0.0929547i | −0.0181334 | − | 0.00485882i | ||||
\(367\) | −20.0023 | + | 11.5483i | −1.04411 | + | 0.602818i | −0.920995 | − | 0.389574i | \(-0.872622\pi\) |
−0.123117 | + | 0.992392i | \(0.539289\pi\) | |||||||
\(368\) | 10.7479 | + | 11.9367i | 0.560271 | + | 0.622244i | ||||
\(369\) | 2.16955 | − | 0.343624i | 0.112942 | − | 0.0178883i | ||||
\(370\) | 0.0257922 | − | 0.0318507i | 0.00134087 | − | 0.00165584i | ||||
\(371\) | 1.63331 | + | 6.09560i | 0.0847972 | + | 0.316468i | ||||
\(372\) | 4.04111 | + | 23.2821i | 0.209522 | + | 1.20712i | ||||
\(373\) | −0.142672 | + | 0.247115i | −0.00738726 | + | 0.0127951i | −0.869695 | − | 0.493589i | \(-0.835685\pi\) |
0.862308 | + | 0.506384i | \(0.169018\pi\) | |||||||
\(374\) | −0.383220 | + | 0.860726i | −0.0198158 | + | 0.0445071i | ||||
\(375\) | −12.7160 | − | 15.7030i | −0.656654 | − | 0.810900i | ||||
\(376\) | −0.471010 | − | 0.153040i | −0.0242905 | − | 0.00789245i | ||||
\(377\) | 13.0421 | − | 7.55002i | 0.671700 | − | 0.388846i | ||||
\(378\) | − | 0.0527499i | − | 0.00271316i | ||||||
\(379\) | 11.2330 | − | 17.2973i | 0.577002 | − | 0.888505i | −0.422841 | − | 0.906204i | \(-0.638967\pi\) |
0.999843 | + | 0.0176987i | \(0.00563395\pi\) | |||||||
\(380\) | −1.16753 | + | 1.29667i | −0.0598929 | + | 0.0665178i | ||||
\(381\) | 3.29704 | − | 15.5114i | 0.168913 | − | 0.794671i | ||||
\(382\) | −0.0269523 | + | 0.170170i | −0.00137900 | + | 0.00870666i | ||||
\(383\) | −0.531874 | + | 10.1488i | −0.0271775 | + | 0.518577i | 0.950792 | + | 0.309830i | \(0.100272\pi\) |
−0.977970 | + | 0.208748i | \(0.933061\pi\) | |||||||
\(384\) | 1.70925 | + | 1.38412i | 0.0872246 | + | 0.0706331i | ||||
\(385\) | 2.81540 | − | 0.445915i | 0.143486 | − | 0.0227259i | ||||
\(386\) | −0.0238077 | − | 0.00506048i | −0.00121178 | − | 0.000257572i | ||||
\(387\) | 1.65161 | − | 15.7140i | 0.0839559 | − | 0.798787i | ||||
\(388\) | 15.2716 | − | 12.3667i | 0.775300 | − | 0.627826i | ||||
\(389\) | −3.73035 | − | 11.4808i | −0.189136 | − | 0.582102i | 0.810859 | − | 0.585242i | \(-0.199000\pi\) |
−0.999995 | + | 0.00314017i | \(0.999000\pi\) | |||||||
\(390\) | −0.243881 | + | 0.108922i | −0.0123494 | + | 0.00551547i | ||||
\(391\) | −18.3456 | + | 13.3288i | −0.927776 | + | 0.674068i | ||||
\(392\) | −0.475559 | + | 0.732297i | −0.0240194 | + | 0.0369866i | ||||
\(393\) | −11.7517 | + | 26.3949i | −0.592797 | + | 1.33144i | ||||
\(394\) | 0.588119 | + | 0.125009i | 0.0296290 | + | 0.00629784i | ||||
\(395\) | −7.21135 | + | 14.1531i | −0.362842 | + | 0.712118i | ||||
\(396\) | 0.813233 | − | 15.5174i | 0.0408665 | − | 0.779780i | ||||
\(397\) | 30.6261 | − | 8.20623i | 1.53708 | − | 0.411859i | 0.611758 | − | 0.791045i | \(-0.290462\pi\) |
0.925321 | + | 0.379186i | \(0.123796\pi\) | |||||||
\(398\) | 0.194113 | − | 0.194113i | 0.00973000 | − | 0.00973000i | ||||
\(399\) | 0.657229 | − | 0.591772i | 0.0329026 | − | 0.0296257i | ||||
\(400\) | 15.2571 | + | 1.60359i | 0.762855 | + | 0.0801793i | ||||
\(401\) | 14.7622 | − | 5.66669i | 0.737191 | − | 0.282981i | 0.0393415 | − | 0.999226i | \(-0.487474\pi\) |
0.697849 | + | 0.716245i | \(0.254141\pi\) | |||||||
\(402\) | −0.856861 | −0.0427364 | ||||||||
\(403\) | 17.7393 | − | 9.39774i | 0.883657 | − | 0.468135i | ||||
\(404\) | 13.9594 | 0.694508 | ||||||||
\(405\) | 11.3052 | − | 4.33968i | 0.561762 | − | 0.215640i | ||||
\(406\) | 0.0692103 | + | 0.00727430i | 0.00343485 | + | 0.000361017i | ||||
\(407\) | 4.50021 | − | 4.05201i | 0.223067 | − | 0.200850i | ||||
\(408\) | −1.09721 | + | 1.09721i | −0.0543201 | + | 0.0543201i | ||||
\(409\) | −36.1585 | + | 9.68863i | −1.78792 | + | 0.479072i | −0.991990 | − | 0.126316i | \(-0.959685\pi\) |
−0.795931 | + | 0.605388i | \(0.793018\pi\) | |||||||
\(410\) | −0.00266019 | + | 0.0507595i | −0.000131377 | + | 0.00250683i | ||||
\(411\) | −19.0856 | + | 37.4576i | −0.941422 | + | 1.84765i | ||||
\(412\) | −5.94260 | − | 1.26314i | −0.292771 | − | 0.0622303i | ||||
\(413\) | −1.78744 | + | 4.01465i | −0.0879540 | + | 0.197548i | ||||
\(414\) | −0.107063 | + | 0.164862i | −0.00526184 | + | 0.00810252i | ||||
\(415\) | −9.31898 | + | 6.77063i | −0.457451 | + | 0.332357i | ||||
\(416\) | 0.500728 | − | 1.30898i | 0.0245502 | − | 0.0641779i | ||||
\(417\) | 5.08970 | + | 15.6645i | 0.249244 | + | 0.767094i | ||||
\(418\) | 0.105312 | − | 0.0852797i | 0.00515096 | − | 0.00417117i | ||||
\(419\) | 2.20958 | − | 21.0227i | 0.107945 | − | 1.02703i | −0.797719 | − | 0.603030i | \(-0.793960\pi\) |
0.905664 | − | 0.423997i | \(-0.139373\pi\) | |||||||
\(420\) | 2.29536 | + | 0.487894i | 0.112002 | + | 0.0238068i | ||||
\(421\) | 6.84193 | − | 1.08366i | 0.333455 | − | 0.0528141i | 0.0125381 | − | 0.999921i | \(-0.496009\pi\) |
0.320917 | + | 0.947107i | \(0.396009\pi\) | |||||||
\(422\) | 0.188720 | + | 0.152822i | 0.00918673 | + | 0.00743926i | ||||
\(423\) | −0.301505 | + | 5.75305i | −0.0146597 | + | 0.279723i | ||||
\(424\) | −0.249119 | + | 1.57287i | −0.0120983 | + | 0.0763855i | ||||
\(425\) | −4.50297 | + | 21.1848i | −0.218426 | + | 1.02761i | ||||
\(426\) | −0.254837 | + | 0.283025i | −0.0123469 | + | 0.0137126i | ||||
\(427\) | 1.45997 | − | 2.24816i | 0.0706529 | − | 0.108796i | ||||
\(428\) | 18.9694i | 0.916923i | ||||||||
\(429\) | −38.1086 | + | 10.2586i | −1.83990 | + | 0.495288i | ||||
\(430\) | 0.347729 | + | 0.112984i | 0.0167690 | + | 0.00544857i | ||||
\(431\) | −8.49414 | − | 10.4894i | −0.409148 | − | 0.505256i | 0.530365 | − | 0.847770i | \(-0.322055\pi\) |
−0.939513 | + | 0.342514i | \(0.888722\pi\) | |||||||
\(432\) | −5.14623 | + | 11.5586i | −0.247598 | + | 0.556114i | ||||
\(433\) | 11.3237 | − | 19.6132i | 0.544182 | − | 0.942551i | −0.454476 | − | 0.890759i | \(-0.650173\pi\) |
0.998658 | − | 0.0517917i | \(-0.0164932\pi\) | |||||||
\(434\) | 0.0917678 | + | 0.0131474i | 0.00440499 | + | 0.000631094i | ||||
\(435\) | 2.47226 | + | 9.22659i | 0.118536 | + | 0.442381i | ||||
\(436\) | −15.6397 | + | 19.3134i | −0.749007 | + | 0.924947i | ||||
\(437\) | 3.22131 | − | 0.510206i | 0.154096 | − | 0.0244064i | ||||
\(438\) | 0.148063 | + | 0.164440i | 0.00707471 | + | 0.00785726i | ||||
\(439\) | −11.5753 | + | 6.68301i | −0.552460 | + | 0.318963i | −0.750113 | − | 0.661309i | \(-0.770001\pi\) |
0.197654 | + | 0.980272i | \(0.436668\pi\) | |||||||
\(440\) | 0.694808 | + | 0.186173i | 0.0331237 | + | 0.00887546i | ||||
\(441\) | 9.65989 | + | 3.13869i | 0.459995 | + | 0.149461i | ||||
\(442\) | 0.587469 | + | 0.298472i | 0.0279430 | + | 0.0141969i | ||||
\(443\) | −1.28126 | − | 3.94331i | −0.0608744 | − | 0.187352i | 0.915995 | − | 0.401190i | \(-0.131403\pi\) |
−0.976869 | + | 0.213838i | \(0.931403\pi\) | |||||||
\(444\) | 4.65412 | − | 1.78655i | 0.220875 | − | 0.0847859i | ||||
\(445\) | −0.483161 | − | 2.27309i | −0.0229040 | − | 0.107755i | ||||
\(446\) | 0.0203875 | + | 0.193974i | 0.000965377 | + | 0.00918494i | ||||
\(447\) | 3.06728 | + | 19.3660i | 0.145077 | + | 0.915982i | ||||
\(448\) | −3.43553 | + | 2.23106i | −0.162314 | + | 0.105408i | ||||
\(449\) | 0.315565 | − | 0.822076i | 0.0148925 | − | 0.0387962i | −0.925933 | − | 0.377689i | \(-0.876719\pi\) |
0.940825 | + | 0.338893i | \(0.110052\pi\) | |||||||
\(450\) | 0.0293703 | + | 0.185437i | 0.00138453 | + | 0.00874156i | ||||
\(451\) | −1.56147 | + | 7.34615i | −0.0735268 | + | 0.345916i | ||||
\(452\) | 22.8067 | + | 2.39708i | 1.07274 | + | 0.112749i | ||||
\(453\) | −16.1443 | − | 42.0574i | −0.758527 | − | 1.97603i | ||||
\(454\) | 0.212918 | + | 0.0691811i | 0.00999272 | + | 0.00324683i | ||||
\(455\) | −0.210685 | − | 1.98241i | −0.00987705 | − | 0.0929368i | ||||
\(456\) | 0.212252 | − | 0.0689648i | 0.00993960 | − | 0.00322957i | ||||
\(457\) | 10.4272 | − | 0.546464i | 0.487762 | − | 0.0255625i | 0.193130 | − | 0.981173i | \(-0.438136\pi\) |
0.294632 | + | 0.955611i | \(0.404803\pi\) | |||||||
\(458\) | 0.0203234 | + | 0.0956141i | 0.000949650 | + | 0.00446775i | ||||
\(459\) | −15.4692 | − | 8.93116i | −0.722041 | − | 0.416871i | ||||
\(460\) | 6.11929 | + | 6.11929i | 0.285313 | + | 0.285313i | ||||
\(461\) | 1.23057 | − | 23.4806i | 0.0573132 | − | 1.09360i | −0.806969 | − | 0.590594i | \(-0.798894\pi\) |
0.864282 | − | 0.503007i | \(-0.167773\pi\) | |||||||
\(462\) | −0.170144 | − | 0.0653121i | −0.00791580 | − | 0.00303859i | ||||
\(463\) | 5.54288 | − | 34.9964i | 0.257600 | − | 1.62642i | −0.431752 | − | 0.901993i | \(-0.642104\pi\) |
0.689351 | − | 0.724427i | \(-0.257896\pi\) | |||||||
\(464\) | −14.4558 | − | 8.34604i | −0.671092 | − | 0.387455i | ||||
\(465\) | 2.82925 | + | 12.4060i | 0.131203 | + | 0.575316i | ||||
\(466\) | −0.191060 | + | 0.713046i | −0.00885069 | + | 0.0330312i | ||||
\(467\) | 0.942298 | + | 1.29696i | 0.0436044 | + | 0.0600163i | 0.830262 | − | 0.557373i | \(-0.188191\pi\) |
−0.786658 | + | 0.617389i | \(0.788191\pi\) | |||||||
\(468\) | −10.8092 | − | 1.12342i | −0.499657 | − | 0.0519302i | ||||
\(469\) | 1.97630 | − | 6.08243i | 0.0912571 | − | 0.280861i | ||||
\(470\) | −0.128766 | − | 0.0345026i | −0.00593951 | − | 0.00159149i | ||||
\(471\) | 24.3749 | − | 14.0728i | 1.12313 | − | 0.648442i | ||||
\(472\) | −0.824124 | + | 0.742044i | −0.0379334 | + | 0.0341554i | ||||
\(473\) | 48.1346 | + | 24.5258i | 2.21323 | + | 1.12770i | ||||
\(474\) | 0.851737 | − | 0.553124i | 0.0391216 | − | 0.0254058i | ||||
\(475\) | 1.96034 | − | 2.42082i | 0.0899465 | − | 0.111075i | ||||
\(476\) | −2.62826 | − | 5.15826i | −0.120466 | − | 0.236428i | ||||
\(477\) | 18.4229 | − | 1.93633i | 0.843527 | − | 0.0886583i | ||||
\(478\) | 0.0204460 | − | 0.194531i | 0.000935178 | − | 0.00889763i | ||||
\(479\) | −41.9598 | + | 2.19902i | −1.91719 | + | 0.100476i | −0.973265 | − | 0.229684i | \(-0.926231\pi\) |
−0.943925 | + | 0.330159i | \(0.892897\pi\) | |||||||
\(480\) | 0.718679 | + | 0.522151i | 0.0328031 | + | 0.0238328i | ||||
\(481\) | −2.66910 | − | 3.28826i | −0.121701 | − | 0.149932i | ||||
\(482\) | −0.177504 | + | 0.0576746i | −0.00808509 | + | 0.00262701i | ||||
\(483\) | −2.76042 | − | 3.40883i | −0.125603 | − | 0.155107i | ||||
\(484\) | 28.4470 | + | 12.6654i | 1.29304 | + | 0.575700i | ||||
\(485\) | 7.86380 | − | 7.08060i | 0.357077 | − | 0.321514i | ||||
\(486\) | −0.460418 | − | 0.0729230i | −0.0208850 | − | 0.00330786i | ||||
\(487\) | −13.5746 | − | 20.9031i | −0.615124 | − | 0.947209i | −0.999709 | − | 0.0241189i | \(-0.992322\pi\) |
0.384585 | − | 0.923090i | \(-0.374345\pi\) | |||||||
\(488\) | 0.567320 | − | 0.368422i | 0.0256814 | − | 0.0166777i | ||||
\(489\) | −17.6698 | − | 34.6789i | −0.799054 | − | 1.56823i | ||||
\(490\) | −0.117516 | + | 0.203544i | −0.00530884 | + | 0.00919518i | ||||
\(491\) | −16.0424 | − | 27.7863i | −0.723985 | − | 1.25398i | −0.959390 | − | 0.282081i | \(-0.908975\pi\) |
0.235406 | − | 0.971897i | \(-0.424358\pi\) | |||||||
\(492\) | −3.36737 | + | 5.18529i | −0.151813 | + | 0.233771i | ||||
\(493\) | 13.8513 | − | 19.0647i | 0.623832 | − | 0.858631i | ||||
\(494\) | −0.0557953 | − | 0.0766087i | −0.00251035 | − | 0.00344679i | ||||
\(495\) | − | 8.36741i | − | 0.376087i | ||||||
\(496\) | −18.8256 | − | 11.8336i | −0.845294 | − | 0.531346i | ||||
\(497\) | −1.42129 | − | 2.46174i | −0.0637534 | − | 0.110424i | ||||
\(498\) | 0.732436 | − | 0.0769821i | 0.0328212 | − | 0.00344965i | ||||
\(499\) | 0.604206 | + | 3.81480i | 0.0270480 | + | 0.170774i | 0.997514 | − | 0.0704617i | \(-0.0224473\pi\) |
−0.970467 | + | 0.241236i | \(0.922447\pi\) | |||||||
\(500\) | 18.9978 | + | 0.995630i | 0.849605 | + | 0.0445259i | ||||
\(501\) | −40.4197 | + | 10.8304i | −1.80582 | + | 0.483868i | ||||
\(502\) | −0.0487977 | + | 0.0487977i | −0.00217795 | + | 0.00217795i | ||||
\(503\) | −3.53741 | − | 3.92870i | −0.157726 | − | 0.175172i | 0.659103 | − | 0.752053i | \(-0.270936\pi\) |
−0.816828 | + | 0.576881i | \(0.804270\pi\) | |||||||
\(504\) | −0.0746096 | − | 0.0671788i | −0.00332338 | − | 0.00299238i | ||||
\(505\) | 7.50669 | − | 0.393409i | 0.334043 | − | 0.0175065i | ||||
\(506\) | −0.395050 | − | 0.543740i | −0.0175621 | − | 0.0241722i | ||||
\(507\) | 5.80122 | + | 26.9846i | 0.257641 | + | 1.19843i | ||||
\(508\) | 8.77570 | + | 12.0787i | 0.389359 | + | 0.535906i | ||||
\(509\) | 32.8762 | − | 26.6226i | 1.45721 | − | 1.18003i | 0.509679 | − | 0.860365i | \(-0.329764\pi\) |
0.947532 | − | 0.319661i | \(-0.103569\pi\) | |||||||
\(510\) | −0.279479 | + | 0.310393i | −0.0123755 | + | 0.0137444i | ||||
\(511\) | −1.50878 | + | 0.671751i | −0.0667444 | + | 0.0297165i | ||||
\(512\) | −2.55585 | + | 0.404807i | −0.112954 | + | 0.0178901i | ||||
\(513\) | 1.39922 | + | 2.15461i | 0.0617770 | + | 0.0951283i | ||||
\(514\) | −0.531649 | − | 0.204081i | −0.0234500 | − | 0.00900162i | ||||
\(515\) | −3.23123 | − | 0.511777i | −0.142385 | − | 0.0225516i | ||||
\(516\) | 29.7588 | + | 33.0504i | 1.31006 | + | 1.45496i | ||||
\(517\) | −17.9940 | − | 8.01146i | −0.791376 | − | 0.352344i | ||||
\(518\) | −0.00102358 | − | 0.0195311i | −4.49735e−5 | − | 0.000858146i | ||||
\(519\) | 11.8785 | + | 36.5582i | 0.521407 | + | 1.60473i | ||||
\(520\) | 0.154904 | − | 0.478634i | 0.00679300 | − | 0.0209895i | ||||
\(521\) | −6.54080 | −0.286558 | −0.143279 | − | 0.989682i | \(-0.545765\pi\) | ||||
−0.143279 | + | 0.989682i | \(0.545765\pi\) | |||||||
\(522\) | 0.0528718 | − | 0.197320i | 0.00231414 | − | 0.00863647i | ||||
\(523\) | −0.498928 | − | 2.34727i | −0.0218166 | − | 0.102639i | 0.965892 | − | 0.258945i | \(-0.0833748\pi\) |
−0.987709 | + | 0.156306i | \(0.950041\pi\) | |||||||
\(524\) | −11.0642 | − | 24.8506i | −0.483342 | − | 1.08560i | ||||
\(525\) | −4.13780 | − | 0.655363i | −0.180588 | − | 0.0286024i | ||||
\(526\) | 0.399799 | − | 0.107126i | 0.0174321 | − | 0.00467091i | ||||
\(527\) | 19.3929 | − | 24.6854i | 0.844767 | − | 1.07531i | ||||
\(528\) | 30.9103 | + | 30.9103i | 1.34520 | + | 1.34520i | ||||
\(529\) | 0.713297 | + | 6.78657i | 0.0310129 | + | 0.295068i | ||||
\(530\) | −0.0448064 | + | 0.426305i | −0.00194627 | + | 0.0185175i | ||||
\(531\) | 10.8188 | + | 7.02583i | 0.469497 | + | 0.304895i | ||||
\(532\) | 0.832648i | 0.0360999i | ||||||||
\(533\) | 5.07512 | + | 1.35357i | 0.219828 | + | 0.0586295i | ||||
\(534\) | −0.0459134 | + | 0.141307i | −0.00198687 | + | 0.00611495i | ||||
\(535\) | 0.534603 | + | 10.2008i | 0.0231129 | + | 0.441020i | ||||
\(536\) | 1.07990 | − | 1.19935i | 0.0466445 | − | 0.0518040i | ||||
\(537\) | −23.9892 | + | 2.52136i | −1.03521 | + | 0.108805i | ||||
\(538\) | 0.550217 | − | 0.280349i | 0.0237215 | − | 0.0120867i | ||||
\(539\) | −21.8546 | + | 26.9881i | −0.941343 | + | 1.16246i | ||||
\(540\) | −2.44292 | + | 6.36403i | −0.105127 | + | 0.273864i | ||||
\(541\) | −12.0097 | + | 23.5703i | −0.516337 | + | 1.01337i | 0.474746 | + | 0.880123i | \(0.342540\pi\) |
−0.991083 | + | 0.133246i | \(0.957460\pi\) | |||||||
\(542\) | −0.425410 | − | 0.955486i | −0.0182729 | − | 0.0410416i | ||||
\(543\) | 26.0384 | + | 2.73674i | 1.11741 | + | 0.117445i | ||||
\(544\) | −0.114697 | − | 2.18855i | −0.00491760 | − | 0.0938335i | ||||
\(545\) | −7.86597 | + | 10.8266i | −0.336941 | + | 0.463760i | ||||
\(546\) | −0.0517079 | + | 0.116501i | −0.00221290 | + | 0.00498580i | ||||
\(547\) | −3.48465 | + | 10.7247i | −0.148993 | + | 0.458553i | −0.997503 | − | 0.0706263i | \(-0.977500\pi\) |
0.848510 | + | 0.529180i | \(0.177500\pi\) | |||||||
\(548\) | −14.1842 | − | 36.9512i | −0.605920 | − | 1.57848i | ||||
\(549\) | −5.84764 | − | 5.26523i | −0.249571 | − | 0.224715i | ||||
\(550\) | −0.627891 | − | 0.133462i | −0.0267734 | − | 0.00569086i | ||||
\(551\) | −3.01990 | + | 1.53872i | −0.128652 | + | 0.0655515i | ||||
\(552\) | −0.286484 | − | 1.06917i | −0.0121936 | − | 0.0455071i | ||||
\(553\) | 1.96187 | + | 7.32181i | 0.0834273 | + | 0.311355i | ||||
\(554\) | −0.184549 | − | 0.362199i | −0.00784075 | − | 0.0153883i | ||||
\(555\) | 2.45241 | − | 1.09188i | 0.104099 | − | 0.0463478i | ||||
\(556\) | −14.1663 | − | 6.30726i | −0.600787 | − | 0.267488i | ||||
\(557\) | 18.0990 | + | 4.84961i | 0.766879 | + | 0.205485i | 0.620992 | − | 0.783817i | \(-0.286730\pi\) |
0.145887 | + | 0.989301i | \(0.453396\pi\) | |||||||
\(558\) | 0.0802580 | − | 0.260024i | 0.00339759 | − | 0.0110077i | ||||
\(559\) | 18.8532 | − | 32.7424i | 0.797407 | − | 1.38486i | ||||
\(560\) | −1.78646 | + | 1.29794i | −0.0754918 | + | 0.0548480i | ||||
\(561\) | −47.9604 | + | 38.8376i | −2.02489 | + | 1.63972i | ||||
\(562\) | 0.281152 | − | 0.0597607i | 0.0118597 | − | 0.00252085i | ||||
\(563\) | 5.95755 | + | 3.43959i | 0.251081 | + | 0.144962i | 0.620259 | − | 0.784397i | \(-0.287027\pi\) |
−0.369178 | + | 0.929359i | \(0.620361\pi\) | |||||||
\(564\) | −11.4660 | − | 11.4660i | −0.482804 | − | 0.482804i | ||||
\(565\) | 12.3319 | + | 0.646286i | 0.518806 | + | 0.0271895i | ||||
\(566\) | 0.486173 | + | 0.748640i | 0.0204354 | + | 0.0314677i | ||||
\(567\) | 2.62349 | − | 5.14889i | 0.110176 | − | 0.216233i | ||||
\(568\) | −0.0749804 | − | 0.713391i | −0.00314611 | − | 0.0299332i | ||||
\(569\) | −39.8311 | + | 8.46636i | −1.66981 | + | 0.354928i | −0.943226 | − | 0.332153i | \(-0.892225\pi\) |
−0.726581 | + | 0.687081i | \(0.758892\pi\) | |||||||
\(570\) | 0.0560827 | − | 0.0215281i | 0.00234905 | − | 0.000901714i | ||||
\(571\) | −3.79407 | − | 2.75655i | −0.158777 | − | 0.115358i | 0.505560 | − | 0.862791i | \(-0.331286\pi\) |
−0.664337 | + | 0.747433i | \(0.731286\pi\) | |||||||
\(572\) | 16.8302 | − | 33.1260i | 0.703706 | − | 1.38507i | ||||
\(573\) | −6.63327 | + | 9.12991i | −0.277109 | + | 0.381407i | ||||
\(574\) | 0.0152647 | + | 0.0188504i | 0.000637138 | + | 0.000786800i | ||||
\(575\) | −11.4813 | − | 10.3378i | −0.478805 | − | 0.431118i | ||||
\(576\) | 4.89088 | + | 10.9851i | 0.203787 | + | 0.457712i | ||||
\(577\) | 6.62903 | − | 41.8541i | 0.275970 | − | 1.74241i | −0.327346 | − | 0.944905i | \(-0.606154\pi\) |
0.603316 | − | 0.797502i | \(-0.293846\pi\) | |||||||
\(578\) | 0.478715 | + | 0.0250884i | 0.0199119 | + | 0.00104354i | ||||
\(579\) | −1.23897 | − | 1.00330i | −0.0514899 | − | 0.0416957i | ||||
\(580\) | −8.01301 | − | 4.08283i | −0.332722 | − | 0.169530i | ||||
\(581\) | −1.14286 | + | 5.37675i | −0.0474140 | + | 0.223065i | ||||
\(582\) | −0.661772 | + | 0.140664i | −0.0274313 | + | 0.00583071i | ||||
\(583\) | −16.3925 | + | 61.1776i | −0.678907 | + | 2.53372i | ||||
\(584\) | −0.416770 | −0.0172461 | ||||||||
\(585\) | −5.84433 | − | 0.299491i | −0.241633 | − | 0.0123824i | ||||
\(586\) | −0.126458 | − | 0.0918770i | −0.00522393 | − | 0.00379540i | ||||
\(587\) | 14.5967 | + | 38.0256i | 0.602469 | + | 1.56949i | 0.806953 | + | 0.590616i | \(0.201115\pi\) |
−0.204484 | + | 0.978870i | \(0.565552\pi\) | |||||||
\(588\) | −24.7587 | + | 14.2944i | −1.02103 | + | 0.589493i | ||||
\(589\) | −4.09706 | + | 1.89717i | −0.168817 | + | 0.0781717i | ||||
\(590\) | −0.211075 | + | 0.211075i | −0.00868981 | + | 0.00868981i | ||||
\(591\) | 30.6062 | + | 24.7844i | 1.25897 | + | 1.01949i | ||||
\(592\) | −1.68114 | + | 4.37952i | −0.0690945 | + | 0.179997i | ||||
\(593\) | 33.3084 | − | 16.9715i | 1.36781 | − | 0.696936i | 0.392913 | − | 0.919576i | \(-0.371467\pi\) |
0.974901 | + | 0.222640i | \(0.0714674\pi\) | |||||||
\(594\) | 0.264708 | − | 0.458488i | 0.0108611 | − | 0.0188120i | ||||
\(595\) | −1.55872 | − | 2.69978i | −0.0639013 | − | 0.110680i | ||||
\(596\) | −15.4821 | − | 10.0542i | −0.634171 | − | 0.411836i | ||||
\(597\) | 17.1010 | − | 5.55645i | 0.699897 | − | 0.227410i | ||||
\(598\) | −0.393922 | + | 0.256466i | −0.0161087 | + | 0.0104877i | ||||
\(599\) | 8.60961 | − | 6.25524i | 0.351779 | − | 0.255582i | −0.397836 | − | 0.917457i | \(-0.630239\pi\) |
0.749615 | + | 0.661874i | \(0.230239\pi\) | |||||||
\(600\) | −0.886630 | − | 0.575784i | −0.0361965 | − | 0.0235063i | ||||
\(601\) | −5.90542 | + | 13.2638i | −0.240887 | + | 0.541041i | −0.993017 | − | 0.117974i | \(-0.962360\pi\) |
0.752130 | + | 0.659015i | \(0.229027\pi\) | |||||||
\(602\) | 0.159393 | − | 0.0709664i | 0.00649638 | − | 0.00289237i | ||||
\(603\) | −16.7272 | − | 8.52293i | −0.681184 | − | 0.347081i | ||||
\(604\) | 39.5968 | + | 15.1998i | 1.61117 | + | 0.618471i | ||||
\(605\) | 15.6543 | + | 6.00912i | 0.636438 | + | 0.244306i | ||||
\(606\) | −0.428223 | − | 0.218190i | −0.0173954 | − | 0.00886337i | ||||
\(607\) | −0.880711 | + | 0.392118i | −0.0357470 | + | 0.0159156i | −0.424532 | − | 0.905413i | \(-0.639561\pi\) |
0.388785 | + | 0.921328i | \(0.372895\pi\) | |||||||
\(608\) | −0.128205 | + | 0.287953i | −0.00519940 | + | 0.0116781i | ||||
\(609\) | 3.82291 | + | 2.48262i | 0.154912 | + | 0.100601i | ||||
\(610\) | 0.147308 | − | 0.107026i | 0.00596433 | − | 0.00433334i | ||||
\(611\) | −6.23976 | + | 12.2814i | −0.252434 | + | 0.496853i | ||||
\(612\) | −16.1622 | + | 5.25141i | −0.653317 | + | 0.212276i | ||||
\(613\) | 21.6333 | + | 14.0488i | 0.873761 | + | 0.567427i | 0.901787 | − | 0.432180i | \(-0.142255\pi\) |
−0.0280261 | + | 0.999607i | \(0.508922\pi\) | |||||||
\(614\) | −0.137070 | − | 0.237412i | −0.00553169 | − | 0.00958116i | ||||
\(615\) | −1.66467 | + | 2.88329i | −0.0671260 | + | 0.116266i | ||||
\(616\) | 0.305849 | − | 0.155838i | 0.0123230 | − | 0.00627888i | ||||
\(617\) | 13.3003 | − | 34.6484i | 0.535450 | − | 1.39489i | −0.352872 | − | 0.935672i | \(-0.614795\pi\) |
0.888321 | − | 0.459222i | \(-0.151872\pi\) | |||||||
\(618\) | 0.162553 | + | 0.131633i | 0.00653884 | + | 0.00529505i | ||||
\(619\) | −29.6955 | + | 29.6955i | −1.19356 | + | 1.19356i | −0.217503 | + | 0.976060i | \(0.569791\pi\) |
−0.976060 | + | 0.217503i | \(0.930209\pi\) | |||||||
\(620\) | −10.4625 | − | 5.83606i | −0.420183 | − | 0.234382i | ||||
\(621\) | 11.0349 | − | 6.37099i | 0.442814 | − | 0.255659i | ||||
\(622\) | −0.0471241 | − | 0.122763i | −0.00188950 | − | 0.00492233i | ||||
\(623\) | −0.897171 | − | 0.651833i | −0.0359444 | − | 0.0261151i | ||||
\(624\) | 22.6960 | − | 20.4833i | 0.908569 | − | 0.819989i | ||||
\(625\) | −8.96259 | −0.358504 | ||||||||
\(626\) | −0.0944739 | + | 0.352581i | −0.00377594 | + | 0.0140920i | ||||
\(627\) | 8.68208 | − | 1.84543i | 0.346729 | − | 0.0736995i | ||||
\(628\) | −5.50945 | + | 25.9199i | −0.219851 | + | 1.03432i | ||||
\(629\) | −5.90090 | − | 3.00666i | −0.235284 | − | 0.119883i | ||||
\(630\) | −0.0210018 | − | 0.0170069i | −0.000836731 | − | 0.000677571i | ||||
\(631\) | −9.39100 | − | 0.492161i | −0.373850 | − | 0.0195926i | −0.135514 | − | 0.990775i | \(-0.543269\pi\) |
−0.238336 | + | 0.971183i | \(0.576602\pi\) | |||||||
\(632\) | −0.299232 | + | 1.88928i | −0.0119028 | + | 0.0751514i | ||||
\(633\) | 6.46954 | + | 14.5308i | 0.257141 | + | 0.577548i | ||||
\(634\) | −0.379083 | − | 0.341327i | −0.0150553 | − | 0.0135558i | ||||
\(635\) | 5.05954 | + | 6.24801i | 0.200782 | + | 0.247945i | ||||
\(636\) | −30.6474 | + | 42.1826i | −1.21525 | + | 1.67265i | ||||
\(637\) | 18.0680 | + | 16.2306i | 0.715879 | + | 0.643079i | ||||
\(638\) | 0.565054 | + | 0.410536i | 0.0223707 | + | 0.0162533i | ||||
\(639\) | −7.78995 | + | 2.99028i | −0.308166 | + | 0.118294i | ||||
\(640\) | −1.09069 | + | 0.231833i | −0.0431132 | + | 0.00916399i | ||||
\(641\) | −0.392965 | − | 3.73881i | −0.0155212 | − | 0.147674i | 0.984017 | − | 0.178077i | \(-0.0569876\pi\) |
−0.999538 | + | 0.0304029i | \(0.990321\pi\) | |||||||
\(642\) | 0.296498 | − | 0.581911i | 0.0117019 | − | 0.0229662i | ||||
\(643\) | 11.1658 | + | 17.1939i | 0.440337 | + | 0.678060i | 0.987259 | − | 0.159124i | \(-0.0508670\pi\) |
−0.546921 | + | 0.837184i | \(0.684200\pi\) | |||||||
\(644\) | 4.12406 | + | 0.216133i | 0.162511 | + | 0.00851683i | ||||
\(645\) | 16.9342 | + | 16.9342i | 0.666784 | + | 0.666784i | ||||
\(646\) | −0.128346 | − | 0.0741007i | −0.00504971 | − | 0.00291545i | ||||
\(647\) | −9.54211 | + | 2.02824i | −0.375139 | + | 0.0797383i | −0.391623 | − | 0.920126i | \(-0.628086\pi\) |
0.0164837 | + | 0.999864i | \(0.494753\pi\) | |||||||
\(648\) | 1.13328 | − | 0.917712i | 0.0445194 | − | 0.0360511i | ||||
\(649\) | −35.6822 | + | 25.9246i | −1.40065 | + | 1.01763i | ||||
\(650\) | −0.115692 | + | 0.433782i | −0.00453783 | + | 0.0170143i | ||||
\(651\) | 4.96475 | + | 3.49617i | 0.194584 | + | 0.137026i | ||||
\(652\) | 35.3953 | + | 9.48414i | 1.38619 | + | 0.371428i | ||||
\(653\) | −0.773490 | − | 0.344380i | −0.0302690 | − | 0.0134766i | 0.391546 | − | 0.920158i | \(-0.371940\pi\) |
−0.421815 | + | 0.906682i | \(0.638607\pi\) | |||||||
\(654\) | 0.781642 | − | 0.348010i | 0.0305646 | − | 0.0136083i | ||||
\(655\) | −6.65013 | − | 13.0516i | −0.259842 | − | 0.509969i | ||||
\(656\) | −1.50580 | − | 5.61973i | −0.0587916 | − | 0.219413i | ||||
\(657\) | 1.25477 | + | 4.68285i | 0.0489531 | + | 0.182695i | ||||
\(658\) | −0.0566815 | + | 0.0288807i | −0.00220968 | + | 0.00112589i | ||||
\(659\) | −35.3004 | − | 7.50333i | −1.37511 | − | 0.292288i | −0.539672 | − | 0.841875i | \(-0.681452\pi\) |
−0.835437 | + | 0.549587i | \(0.814785\pi\) | |||||||
\(660\) | 17.5023 | + | 15.7592i | 0.681278 | + | 0.613425i | ||||
\(661\) | 2.46855 | + | 6.43080i | 0.0960156 | + | 0.250129i | 0.973173 | − | 0.230073i | \(-0.0738966\pi\) |
−0.877158 | + | 0.480202i | \(0.840563\pi\) | |||||||
\(662\) | −0.129054 | + | 0.397189i | −0.00501584 | + | 0.0154372i | ||||
\(663\) | 25.4100 | + | 34.8887i | 0.986842 | + | 1.35496i | ||||
\(664\) | −0.815334 | + | 1.12221i | −0.0316411 | + | 0.0435502i | ||||
\(665\) | 0.0234659 | + | 0.447756i | 0.000909969 | + | 0.0173633i | ||||
\(666\) | −0.0570962 | − | 0.00600105i | −0.00221243 | − | 0.000232536i | ||||
\(667\) | 6.83730 | + | 15.3568i | 0.264741 | + | 0.594619i | ||||
\(668\) | 17.8860 | − | 35.1033i | 0.692032 | − | 1.35819i | ||||
\(669\) | −4.57830 | + | 11.9269i | −0.177007 | + | 0.461120i | ||||
\(670\) | 0.273386 | − | 0.337604i | 0.0105618 | − | 0.0130428i | ||||
\(671\) | 23.9713 | − | 12.2140i | 0.925403 | − | 0.471517i | ||||
\(672\) | 0.421596 | − | 0.0443115i | 0.0162634 | − | 0.00170935i | ||||
\(673\) | −17.1988 | + | 19.1012i | −0.662964 | + | 0.736296i | −0.977029 | − | 0.213106i | \(-0.931642\pi\) |
0.314066 | + | 0.949401i | \(0.398309\pi\) | |||||||
\(674\) | −0.0258745 | − | 0.493714i | −0.000996647 | − | 0.0190172i | ||||
\(675\) | 3.76067 | − | 11.5742i | 0.144748 | − | 0.445490i | ||||
\(676\) | −22.5349 | − | 12.9409i | −0.866727 | − | 0.497728i | ||||
\(677\) | − | 3.81274i | − | 0.146535i | −0.997312 | − | 0.0732677i | \(-0.976657\pi\) | ||
0.997312 | − | 0.0732677i | \(-0.0233427\pi\) | |||||||
\(678\) | −0.662157 | − | 0.430010i | −0.0254300 | − | 0.0165144i | ||||
\(679\) | 0.527836 | − | 5.02202i | 0.0202565 | − | 0.192727i | ||||
\(680\) | −0.0822308 | − | 0.782373i | −0.00315341 | − | 0.0300026i | ||||
\(681\) | 10.3690 | + | 10.3690i | 0.397340 | + | 0.397340i | ||||
\(682\) | 0.731646 | + | 0.574781i | 0.0280162 | + | 0.0220095i | ||||
\(683\) | −17.0758 | + | 4.57545i | −0.653387 | + | 0.175075i | −0.570260 | − | 0.821464i | \(-0.693158\pi\) |
−0.0831274 | + | 0.996539i | \(0.526491\pi\) | |||||||
\(684\) | 2.41409 | + | 0.382354i | 0.0923049 | + | 0.0146197i | ||||
\(685\) | −8.66894 | − | 19.4708i | −0.331223 | − | 0.743939i | ||||
\(686\) | 0.0475516 | + | 0.223713i | 0.00181553 | + | 0.00854139i | ||||
\(687\) | −1.65714 | + | 6.18454i | −0.0632239 | + | 0.235955i | ||||
\(688\) | −41.8498 | −1.59551 | ||||||||
\(689\) | 42.1435 | + | 13.6392i | 1.60554 | + | 0.519614i | ||||
\(690\) | −0.0920702 | − | 0.283363i | −0.00350505 | − | 0.0107874i | ||||
\(691\) | 1.30326 | + | 24.8677i | 0.0495783 | + | 0.946010i | 0.904293 | + | 0.426912i | \(0.140399\pi\) |
−0.854715 | + | 0.519098i | \(0.826268\pi\) | |||||||
\(692\) | −33.0618 | − | 14.7200i | −1.25682 | − | 0.559572i | ||||
\(693\) | −2.67182 | − | 2.96736i | −0.101494 | − | 0.112721i | ||||
\(694\) | −0.794325 | − | 0.125809i | −0.0301522 | − | 0.00477564i | ||||
\(695\) | −7.79571 | − | 2.99249i | −0.295708 | − | 0.113512i | ||||
\(696\) | 0.626487 | + | 0.964706i | 0.0237469 | + | 0.0365671i | ||||
\(697\) | 8.11248 | − | 1.28489i | 0.307282 | − | 0.0486687i | ||||
\(698\) | −0.257997 | + | 0.114868i | −0.00976532 | + | 0.00434780i | ||||
\(699\) | −32.3542 | + | 35.9330i | −1.22375 | + | 1.35911i | ||||
\(700\) | 3.06528 | − | 2.48221i | 0.115857 | − | 0.0938189i | ||||
\(701\) | 9.67142 | + | 13.3116i | 0.365284 | + | 0.502771i | 0.951612 | − | 0.307303i | \(-0.0994267\pi\) |
−0.586327 | + | 0.810074i | \(0.699427\pi\) | |||||||
\(702\) | −0.310763 | − | 0.201299i | −0.0117290 | − | 0.00759756i | ||||
\(703\) | 0.559881 | + | 0.770610i | 0.0211163 | + | 0.0290641i | ||||
\(704\) | −41.0566 | + | 2.15168i | −1.54738 | + | 0.0810947i | ||||
\(705\) | −6.48896 | − | 5.84268i | −0.244388 | − | 0.220048i | ||||
\(706\) | 0.250917 | + | 0.278671i | 0.00944337 | + | 0.0104879i | ||||
\(707\) | 2.53649 | − | 2.53649i | 0.0953947 | − | 0.0953947i | ||||
\(708\) | −35.0723 | + | 9.39760i | −1.31810 | + | 0.353183i | ||||
\(709\) | 8.54085 | + | 0.447607i | 0.320758 | + | 0.0168102i | 0.212036 | − | 0.977262i | \(-0.431991\pi\) |
0.108723 | + | 0.994072i | \(0.465324\pi\) | |||||||
\(710\) | −0.0302049 | − | 0.190706i | −0.00113357 | − | 0.00715708i | ||||
\(711\) | 22.1289 | − | 2.32584i | 0.829899 | − | 0.0872259i | ||||
\(712\) | −0.139923 | − | 0.242354i | −0.00524384 | − | 0.00908259i | ||||
\(713\) | 8.33313 | + | 20.7850i | 0.312078 | + | 0.778405i | ||||
\(714\) | 0.199316i | 0.00745922i | ||||||||
\(715\) | 8.11687 | − | 18.2879i | 0.303554 | − | 0.683927i | ||||
\(716\) | 13.3487 | − | 18.3728i | 0.498863 | − | 0.686626i | ||||
\(717\) | 6.97796 | − | 10.7451i | 0.260597 | − | 0.401284i | ||||
\(718\) | −0.197561 | − | 0.342185i | −0.00737289 | − | 0.0127702i | ||||
\(719\) | 1.70695 | − | 2.95652i | 0.0636584 | − | 0.110260i | −0.832440 | − | 0.554116i | \(-0.813057\pi\) |
0.896098 | + | 0.443856i | \(0.146390\pi\) | |||||||
\(720\) | 2.94276 | + | 5.77548i | 0.109670 | + | 0.215240i | ||||
\(721\) | −1.30932 | + | 0.850279i | −0.0487615 | + | 0.0316661i | ||||
\(722\) | −0.323820 | − | 0.498639i | −0.0120513 | − | 0.0185574i | ||||
\(723\) | −12.0745 | − | 1.91241i | −0.449054 | − | 0.0711232i | ||||
\(724\) | −18.3185 | + | 16.4941i | −0.680803 | + | 0.612998i | ||||
\(725\) | 14.6672 | + | 6.53027i | 0.544727 | + | 0.242528i | ||||
\(726\) | −0.674681 | − | 0.833161i | −0.0250398 | − | 0.0309215i | ||||
\(727\) | 49.6642 | − | 16.1369i | 1.84194 | − | 0.598483i | 0.843861 | − | 0.536562i | \(-0.180277\pi\) |
0.998081 | − | 0.0619211i | \(-0.0197227\pi\) | |||||||
\(728\) | −0.0978998 | − | 0.219202i | −0.00362841 | − | 0.00812416i | ||||
\(729\) | 2.60197 | + | 1.89044i | 0.0963693 | + | 0.0700164i | ||||
\(730\) | −0.112030 | + | 0.00587123i | −0.00414640 | + | 0.000217304i | ||||
\(731\) | 6.17575 | − | 58.7584i | 0.228418 | − | 2.17326i | ||||
\(732\) | 22.0269 | − | 2.31512i | 0.814136 | − | 0.0855692i | ||||
\(733\) | −2.80941 | − | 5.51377i | −0.103768 | − | 0.203656i | 0.833285 | − | 0.552844i | \(-0.186457\pi\) |
−0.937053 | + | 0.349188i | \(0.886457\pi\) | |||||||
\(734\) | −0.471151 | + | 0.581823i | −0.0173905 | + | 0.0214755i | ||||
\(735\) | −12.9111 | + | 8.38460i | −0.476235 | + | 0.309271i | ||||
\(736\) | 1.39294 | + | 0.709739i | 0.0513445 | + | 0.0261613i | ||||
\(737\) | 47.7002 | − | 42.9495i | 1.75706 | − | 1.58206i | ||||
\(738\) | 0.0616623 | − | 0.0356007i | 0.00226982 | − | 0.00131048i | ||||
\(739\) | −8.35660 | − | 2.23914i | −0.307403 | − | 0.0823683i | 0.101820 | − | 0.994803i | \(-0.467533\pi\) |
−0.409223 | + | 0.912435i | \(0.634200\pi\) | |||||||
\(740\) | −0.781020 | + | 2.40373i | −0.0287109 | + | 0.0883630i | ||||
\(741\) | −0.978213 | − | 6.13017i | −0.0359355 | − | 0.225197i | ||||
\(742\) | 0.120235 | + | 0.165489i | 0.00441395 | + | 0.00607528i | ||||
\(743\) | 2.74691 | − | 10.2516i | 0.100774 | − | 0.376095i | −0.897057 | − | 0.441914i | \(-0.854299\pi\) |
0.997832 | + | 0.0658195i | \(0.0209662\pi\) | |||||||
\(744\) | 0.785689 | + | 1.31556i | 0.0288047 | + | 0.0482307i | ||||
\(745\) | −8.60885 | − | 4.97032i | −0.315404 | − | 0.182099i | ||||
\(746\) | −0.00144690 | + | 0.00913537i | −5.29748e−5 | + | 0.000334470i | ||||
\(747\) | 15.0639 | + | 5.78251i | 0.551161 | + | 0.211571i | ||||
\(748\) | 3.04087 | − | 58.0233i | 0.111185 | − | 2.12154i | ||||
\(749\) | 3.44684 | + | 3.44684i | 0.125945 | + | 0.125945i | ||||
\(750\) | −0.567217 | − | 0.327483i | −0.0207118 | − | 0.0119580i | ||||
\(751\) | 2.91941 | + | 13.7348i | 0.106531 | + | 0.501189i | 0.998768 | + | 0.0496215i | \(0.0158015\pi\) |
−0.892237 | + | 0.451567i | \(0.850865\pi\) | |||||||
\(752\) | 15.2377 | − | 0.798573i | 0.555661 | − | 0.0291210i | ||||
\(753\) | −4.29899 | + | 1.39683i | −0.156664 | + | 0.0509032i | ||||
\(754\) | 0.306969 | − | 0.379975i | 0.0111791 | − | 0.0138379i | ||||
\(755\) | 21.7216 | + | 7.05777i | 0.790529 | + | 0.256858i | ||||
\(756\) | 1.16577 | + | 3.03694i | 0.0423988 | + | 0.110453i | ||||
\(757\) | −8.13272 | − | 0.854783i | −0.295589 | − | 0.0310676i | −0.0444266 | − | 0.999013i | \(-0.514146\pi\) |
−0.251162 | + | 0.967945i | \(0.580813\pi\) | |||||||
\(758\) | 0.138997 | − | 0.653929i | 0.00504860 | − | 0.0237518i | ||||
\(759\) | −6.88671 | − | 43.4810i | −0.249972 | − | 1.57826i | ||||
\(760\) | −0.0405479 | + | 0.105631i | −0.00147083 | + | 0.00383163i | ||||
\(761\) | −41.7229 | + | 27.0952i | −1.51245 | + | 0.982199i | −0.520742 | + | 0.853714i | \(0.674345\pi\) |
−0.991711 | + | 0.128485i | \(0.958989\pi\) | |||||||
\(762\) | −0.0804112 | − | 0.507696i | −0.00291299 | − | 0.0183919i | ||||
\(763\) | 0.667533 | + | 6.35115i | 0.0241663 | + | 0.229927i | ||||
\(764\) | −2.20905 | − | 10.3928i | −0.0799206 | − | 0.375997i | ||||
\(765\) | −8.54322 | + | 3.27943i | −0.308881 | + | 0.118568i | ||||
\(766\) | 0.101796 | + | 0.313295i | 0.00367803 | + | 0.0113198i | ||||
\(767\) | 16.8302 | + | 25.8506i | 0.607704 | + | 0.933410i | ||||
\(768\) | −32.1384 | − | 10.4424i | −1.15970 | − | 0.376808i | ||||
\(769\) | −22.4125 | − | 6.00542i | −0.808216 | − | 0.216561i | −0.169028 | − | 0.985611i | \(-0.554063\pi\) |
−0.639188 | + | 0.769050i | \(0.720729\pi\) | |||||||
\(770\) | 0.0800182 | − | 0.0461985i | 0.00288366 | − | 0.00166488i | ||||
\(771\) | −24.9591 | − | 27.7199i | −0.898882 | − | 0.998309i | ||||
\(772\) | 1.48251 | − | 0.234806i | 0.0533566 | − | 0.00845085i | ||||
\(773\) | 16.9202 | − | 20.8948i | 0.608579 | − | 0.751532i | −0.375972 | − | 0.926631i | \(-0.622691\pi\) |
0.984551 | + | 0.175099i | \(0.0560245\pi\) | |||||||
\(774\) | −0.132558 | − | 0.494714i | −0.00476471 | − | 0.0177821i | ||||
\(775\) | 19.1980 | + | 9.42709i | 0.689612 | + | 0.338631i | ||||
\(776\) | 0.637141 | − | 1.10356i | 0.0228720 | − | 0.0396155i | ||||
\(777\) | 0.521051 | − | 1.17030i | 0.0186926 | − | 0.0419843i | ||||
\(778\) | −0.246251 | − | 0.304094i | −0.00882852 | − | 0.0109023i | ||||
\(779\) | −1.12352 | − | 0.365052i | −0.0402541 | − | 0.0130794i | ||||
\(780\) | 11.6337 | − | 11.6607i | 0.416552 | − | 0.417519i | ||||
\(781\) | − | 28.5291i | − | 1.02085i | ||||||
\(782\) | −0.400332 | + | 0.616458i | −0.0143159 | + | 0.0220445i | ||||
\(783\) | −8.86026 | + | 9.84032i | −0.316640 | + | 0.351664i | ||||
\(784\) | 5.59327 | − | 26.3142i | 0.199759 | − | 0.939794i | ||||
\(785\) | −2.23222 | + | 14.0937i | −0.0796715 | + | 0.503026i | ||||
\(786\) | −0.0490149 | + | 0.935259i | −0.00174830 | + | 0.0333596i | ||||
\(787\) | 3.03699 | + | 2.45931i | 0.108257 | + | 0.0876649i | 0.681921 | − | 0.731426i | \(-0.261145\pi\) |
−0.573664 | + | 0.819091i | \(0.694478\pi\) | |||||||
\(788\) | −36.6222 | + | 5.80038i | −1.30461 | + | 0.206630i | ||||
\(789\) | 26.5185 | + | 5.63667i | 0.944082 | + | 0.200671i | ||||
\(790\) | −0.0538199 | + | 0.512062i | −0.00191482 | + | 0.0182183i | ||||
\(791\) | 4.57965 | − | 3.70853i | 0.162834 | − | 0.131860i | ||||
\(792\) | −0.311372 | − | 0.958305i | −0.0110641 | − | 0.0340519i | ||||
\(793\) | −7.67303 | − | 17.1803i | −0.272477 | − | 0.610089i | ||||
\(794\) | 0.831465 | − | 0.604094i | 0.0295076 | − | 0.0214385i | ||||
\(795\) | −15.2919 | + | 23.5474i | −0.542346 | + | 0.835140i | ||||
\(796\) | −6.88566 | + | 15.4655i | −0.244056 | + | 0.548159i | ||||
\(797\) | 3.14820 | + | 0.669170i | 0.111515 | + | 0.0237032i | 0.263331 | − | 0.964706i | \(-0.415179\pi\) |
−0.151816 | + | 0.988409i | \(0.548512\pi\) | |||||||
\(798\) | 0.0130145 | − | 0.0255425i | 0.000460710 | − | 0.000904194i | ||||
\(799\) | −1.12740 | + | 21.5120i | −0.0398844 | + | 0.761040i | ||||
\(800\) | 1.44225 | − | 0.386451i | 0.0509914 | − | 0.0136631i | ||||
\(801\) | −2.30183 | + | 2.30183i | −0.0813313 | + | 0.0813313i | ||||
\(802\) | 0.380901 | − | 0.342965i | 0.0134501 | − | 0.0121105i | ||||
\(803\) | −16.4849 | − | 1.73263i | −0.581738 | − | 0.0611432i | ||||
\(804\) | 49.3317 | − | 18.9366i | 1.73979 | − | 0.667844i | ||||
\(805\) | 2.22381 | 0.0783789 | ||||||||
\(806\) | 0.427650 | − | 0.490454i | 0.0150633 | − | 0.0172755i | ||||
\(807\) | 40.4481 | 1.42384 | ||||||||
\(808\) | 0.845089 | − | 0.324399i | 0.0297301 | − | 0.0114123i | ||||
\(809\) | −28.1741 | − | 2.96122i | −0.990550 | − | 0.104111i | −0.404630 | − | 0.914480i | \(-0.632600\pi\) |
−0.585919 | + | 0.810369i | \(0.699266\pi\) | |||||||
\(810\) | 0.291702 | − | 0.262650i | 0.0102494 | − | 0.00922858i | ||||
\(811\) | 30.2268 | − | 30.2268i | 1.06141 | − | 1.06141i | 0.0634180 | − | 0.997987i | \(-0.479800\pi\) |
0.997987 | − | 0.0634180i | \(-0.0202001\pi\) | |||||||
\(812\) | −4.14537 | + | 1.11075i | −0.145474 | + | 0.0389797i | ||||
\(813\) | 3.58542 | − | 68.4139i | 0.125746 | − | 2.39938i | ||||
\(814\) | 0.0891137 | − | 0.174895i | 0.00312343 | − | 0.00613008i | ||||
\(815\) | 19.3011 | + | 4.10258i | 0.676088 | + | 0.143707i | ||||
\(816\) | 19.4451 | − | 43.6744i | 0.680714 | − | 1.52891i | ||||
\(817\) | −4.62811 | + | 7.12666i | −0.161917 | + | 0.249330i | ||||
\(818\) | −0.981663 | + | 0.713220i | −0.0343230 | + | 0.0249371i | ||||
\(819\) | −2.16822 | + | 1.75996i | −0.0757637 | + | 0.0614979i | ||||
\(820\) | −0.968631 | − | 2.98114i | −0.0338261 | − | 0.104106i | ||||
\(821\) | −40.2493 | + | 32.5932i | −1.40471 | + | 1.13751i | −0.432982 | + | 0.901402i | \(0.642539\pi\) |
−0.971727 | + | 0.236109i | \(0.924128\pi\) | |||||||
\(822\) | −0.142440 | + | 1.35523i | −0.00496816 | + | 0.0472689i | ||||
\(823\) | −36.6789 | − | 7.79634i | −1.27855 | − | 0.271763i | −0.481908 | − | 0.876222i | \(-0.660056\pi\) |
−0.796637 | + | 0.604458i | \(0.793390\pi\) | |||||||
\(824\) | −0.389112 | + | 0.0616292i | −0.0135553 | + | 0.00214696i | ||||
\(825\) | −32.6760 | − | 26.4605i | −1.13763 | − | 0.921235i | ||||
\(826\) | −0.00745515 | + | 0.142253i | −0.000259398 | + | 0.00494960i | ||||
\(827\) | 1.27393 | − | 8.04331i | 0.0442991 | − | 0.279693i | −0.955588 | − | 0.294705i | \(-0.904779\pi\) |
0.999887 | + | 0.0150118i | \(0.00477859\pi\) | |||||||
\(828\) | 2.52041 | − | 11.8576i | 0.0875903 | − | 0.412080i | ||||
\(829\) | 22.7787 | − | 25.2983i | 0.791137 | − | 0.878646i | −0.203814 | − | 0.979010i | \(-0.565334\pi\) |
0.994951 | + | 0.100363i | \(0.0320005\pi\) | |||||||
\(830\) | −0.203356 | + | 0.313141i | −0.00705860 | + | 0.0108693i | ||||
\(831\) | − | 26.6263i | − | 0.923658i | ||||||
\(832\) | 0.0333500 | + | 28.7535i | 0.00115620 | + | 0.996849i | ||||
\(833\) | 36.1206 | + | 11.7363i | 1.25151 | + | 0.406639i | ||||
\(834\) | 0.335985 | + | 0.414907i | 0.0116342 | + | 0.0143671i | ||||
\(835\) | 8.62893 | − | 19.3809i | 0.298616 | − | 0.670704i | ||||
\(836\) | −4.17837 | + | 7.23716i | −0.144512 | + | 0.250302i | ||||
\(837\) | −12.2872 | + | 12.6558i | −0.424706 | + | 0.437450i | ||||
\(838\) | −0.177341 | − | 0.661846i | −0.00612614 | − | 0.0228631i | ||||
\(839\) | 28.1829 | − | 34.8030i | 0.972982 | − | 1.20153i | −0.00649512 | − | 0.999979i | \(-0.502067\pi\) |
0.979477 | − | 0.201554i | \(-0.0645992\pi\) | |||||||
\(840\) | 0.150297 | − | 0.0238046i | 0.00518573 | − | 0.000821338i | ||||
\(841\) | 7.71568 | + | 8.56913i | 0.266058 | + | 0.295487i | ||||
\(842\) | 0.194459 | − | 0.112271i | 0.00670150 | − | 0.00386911i | ||||
\(843\) | 18.1855 | + | 4.87280i | 0.626343 | + | 0.167828i | ||||
\(844\) | −14.2424 | − | 4.62765i | −0.490245 | − | 0.159290i | ||||
\(845\) | −12.4829 | − | 6.32390i | −0.429423 | − | 0.217549i | ||||
\(846\) | 0.0577051 | + | 0.177598i | 0.00198394 | + | 0.00610595i | ||||
\(847\) | 7.47031 | − | 2.86758i | 0.256683 | − | 0.0985313i | ||||
\(848\) | −10.2010 | − | 47.9920i | −0.350304 | − | 1.64805i | ||||
\(849\) | 6.11170 | + | 58.1489i | 0.209753 | + | 1.99567i | ||||
\(850\) | 0.109822 | + | 0.693391i | 0.00376688 | + | 0.0237831i | ||||
\(851\) | 3.96212 | − | 2.57303i | 0.135820 | − | 0.0882024i | ||||
\(852\) | 8.41674 | − | 21.9264i | 0.288353 | − | 0.751185i | ||||
\(853\) | −2.61888 | − | 16.5350i | −0.0896689 | − | 0.566147i | −0.991089 | − | 0.133201i | \(-0.957474\pi\) |
0.901420 | − | 0.432945i | \(-0.142526\pi\) | |||||||
\(854\) | 0.0180656 | − | 0.0849920i | 0.000618193 | − | 0.00290837i | ||||
\(855\) | 1.30895 | + | 0.137576i | 0.0447652 | + | 0.00470501i | ||||
\(856\) | 0.440825 | + | 1.14839i | 0.0150671 | + | 0.0392511i | ||||
\(857\) | −4.28068 | − | 1.39088i | −0.146225 | − | 0.0475114i | 0.234990 | − | 0.971998i | \(-0.424494\pi\) |
−0.381215 | + | 0.924486i | \(0.624494\pi\) | |||||||
\(858\) | −1.03406 | + | 0.753120i | −0.0353021 | + | 0.0257111i | ||||
\(859\) | −15.0516 | + | 4.89056i | −0.513554 | + | 0.166864i | −0.554318 | − | 0.832305i | \(-0.687021\pi\) |
0.0407642 | + | 0.999169i | \(0.487021\pi\) | |||||||
\(860\) | −22.5166 | + | 1.18004i | −0.767808 | + | 0.0402391i | ||||
\(861\) | 0.330325 | + | 1.55406i | 0.0112575 | + | 0.0529622i | ||||
\(862\) | −0.378893 | − | 0.218754i | −0.0129051 | − | 0.00745079i | ||||
\(863\) | 27.3823 | + | 27.3823i | 0.932106 | + | 0.932106i | 0.997837 | − | 0.0657317i | \(-0.0209382\pi\) |
−0.0657317 | + | 0.997837i | \(0.520938\pi\) | |||||||
\(864\) | −0.0644490 | + | 1.22976i | −0.00219260 | + | 0.0418373i | ||||
\(865\) | −18.1938 | − | 6.98395i | −0.618608 | − | 0.237462i | ||||
\(866\) | 0.114839 | − | 0.725064i | 0.00390238 | − | 0.0246387i | ||||
\(867\) | 27.1925 | + | 15.6996i | 0.923506 | + | 0.533186i | ||||
\(868\) | −5.57386 | + | 1.27114i | −0.189189 | + | 0.0431454i | ||||
\(869\) | −19.6900 | + | 73.4843i | −0.667939 | + | 2.49278i | ||||
\(870\) | 0.181993 | + | 0.250492i | 0.00617014 | + | 0.00849246i | ||||
\(871\) | −28.2913 | − | 34.8541i | −0.958614 | − | 1.18099i | ||||
\(872\) | −0.497992 | + | 1.53266i | −0.0168641 | + | 0.0519025i | ||||
\(873\) | −14.3179 | − | 3.83647i | −0.484588 | − | 0.129845i | ||||
\(874\) | 0.0915550 | − | 0.0528593i | 0.00309689 | − | 0.00178799i | ||||
\(875\) | 3.63289 | − | 3.27107i | 0.122814 | − | 0.110582i | ||||
\(876\) | −12.1585 | − | 6.19505i | −0.410797 | − | 0.209311i | ||||
\(877\) | 1.06955 | − | 0.694573i | 0.0361161 | − | 0.0234541i | −0.526455 | − | 0.850203i | \(-0.676479\pi\) |
0.562571 | + | 0.826749i | \(0.309812\pi\) | |||||||
\(878\) | −0.272654 | + | 0.336700i | −0.00920164 | + | 0.0113631i | ||||
\(879\) | −4.64815 | − | 9.12252i | −0.156778 | − | 0.307695i | ||||
\(880\) | −22.0407 | + | 2.31658i | −0.742994 | + | 0.0780918i | ||||
\(881\) | 4.30778 | − | 40.9858i | 0.145133 | − | 1.38085i | −0.643247 | − | 0.765659i | \(-0.722413\pi\) |
0.788380 | − | 0.615189i | \(-0.210920\pi\) | |||||||
\(882\) | 0.328782 | − | 0.0172308i | 0.0110707 | − | 0.000580190i | ||||
\(883\) | 3.56038 | + | 2.58677i | 0.119816 | + | 0.0870517i | 0.646080 | − | 0.763270i | \(-0.276407\pi\) |
−0.526263 | + | 0.850322i | \(0.676407\pi\) | |||||||
\(884\) | −40.4183 | − | 4.20074i | −1.35941 | − | 0.141286i | ||||
\(885\) | −18.5953 | + | 6.04198i | −0.625074 | + | 0.203099i | ||||
\(886\) | −0.0845794 | − | 0.104447i | −0.00284150 | − | 0.00350896i | ||||
\(887\) | −15.6469 | − | 6.96647i | −0.525373 | − | 0.233911i | 0.126872 | − | 0.991919i | \(-0.459506\pi\) |
−0.652245 | + | 0.758008i | \(0.726173\pi\) | |||||||
\(888\) | 0.240238 | − | 0.216311i | 0.00806187 | − | 0.00725894i | ||||
\(889\) | 3.78935 | + | 0.600173i | 0.127091 | + | 0.0201292i | ||||
\(890\) | −0.0410261 | − | 0.0631746i | −0.00137520 | − | 0.00211762i | ||||
\(891\) | 48.6408 | − | 31.5877i | 1.62953 | − | 1.05823i | ||||
\(892\) | −5.46059 | − | 10.7170i | −0.182834 | − | 0.358832i | ||||
\(893\) | 1.54912 | − | 2.68316i | 0.0518394 | − | 0.0897885i | ||||
\(894\) | 0.317782 | + | 0.550414i | 0.0106282 | + | 0.0184086i | ||||
\(895\) | 6.66045 | − | 10.2562i | 0.222634 | − | 0.342827i | ||||
\(896\) | −0.312766 | + | 0.430485i | −0.0104488 | + | 0.0143815i | ||||
\(897\) | −30.6163 | + | 3.25381i | −1.02225 | + | 0.108642i | ||||
\(898\) | − | 0.0285429i | − | 0.000952490i | ||||||
\(899\) | −14.9106 | − | 17.8666i | −0.497298 | − | 0.595884i | ||||
\(900\) | −5.78907 | − | 10.0270i | −0.192969 | − | 0.334232i | ||||
\(901\) | 68.8876 | − | 7.24038i | 2.29498 | − | 0.241212i | ||||
\(902\) | 0.0380825 | + | 0.240444i | 0.00126801 | + | 0.00800590i | ||||
\(903\) | 11.4127 | + | 0.598115i | 0.379792 | + | 0.0199040i | ||||
\(904\) | 1.43640 | − | 0.384882i | 0.0477739 | − | 0.0128010i | ||||
\(905\) | −9.38596 | + | 9.38596i | −0.312000 | + | 0.312000i | ||||
\(906\) | −0.977103 | − | 1.08518i | −0.0324621 | − | 0.0360528i | ||||
\(907\) | 25.0763 | + | 22.5788i | 0.832645 | + | 0.749717i | 0.970594 | − | 0.240722i | \(-0.0773843\pi\) |
−0.137949 | + | 0.990439i | \(0.544051\pi\) | |||||||
\(908\) | −13.7871 | + | 0.722552i | −0.457541 | + | 0.0239787i | ||||
\(909\) | −6.18927 | − | 8.51879i | −0.205285 | − | 0.282551i | ||||
\(910\) | −0.0294039 | − | 0.0575433i | −0.000974730 | − | 0.00190754i | ||||
\(911\) | 21.4233 | + | 29.4866i | 0.709785 | + | 0.976935i | 0.999802 | + | 0.0199137i | \(0.00633914\pi\) |
−0.290017 | + | 0.957022i | \(0.593661\pi\) | |||||||
\(912\) | −5.34366 | + | 4.32721i | −0.176946 | + | 0.143288i | ||||
\(913\) | −36.9150 | + | 40.9982i | −1.22171 | + | 1.35684i | ||||
\(914\) | 0.309193 | − | 0.137662i | 0.0102272 | − | 0.00455345i | ||||
\(915\) | 11.7797 | − | 1.86572i | 0.389425 | − | 0.0616789i | ||||
\(916\) | −3.28314 | − | 5.05560i | −0.108478 | − | 0.167042i | ||||
\(917\) | −6.52589 | − | 2.50505i | −0.215504 | − | 0.0827242i | ||||
\(918\) | −0.571869 | − | 0.0905751i | −0.0188745 | − | 0.00298942i | ||||
\(919\) | 3.05205 | + | 3.38965i | 0.100678 | + | 0.111814i | 0.791378 | − | 0.611327i | \(-0.209364\pi\) |
−0.690700 | + | 0.723141i | \(0.742697\pi\) | |||||||
\(920\) | 0.512659 | + | 0.228251i | 0.0169019 | + | 0.00752520i | ||||
\(921\) | −0.939761 | − | 17.9317i | −0.0309662 | − | 0.590870i | ||||
\(922\) | −0.235519 | − | 0.724852i | −0.00775640 | − | 0.0238717i | ||||
\(923\) | −19.9265 | − | 1.02113i | −0.655889 | − | 0.0336109i | ||||
\(924\) | 11.2390 | 0.369736 | ||||||||
\(925\) | 1.16783 | − | 4.35840i | 0.0383980 | − | 0.143303i | ||||
\(926\) | −0.238792 | − | 1.12343i | −0.00784721 | − | 0.0369182i | ||||
\(927\) | 1.86396 | + | 4.18653i | 0.0612206 | + | 0.137504i | ||||
\(928\) | −1.60461 | − | 0.254146i | −0.0526740 | − | 0.00834275i | ||||
\(929\) | 42.9148 | − | 11.4990i | 1.40799 | − | 0.377270i | 0.526783 | − | 0.850000i | \(-0.323398\pi\) |
0.881207 | + | 0.472730i | \(0.156731\pi\) | |||||||
\(930\) | 0.229730 | + | 0.342560i | 0.00753313 | + | 0.0112330i | ||||
\(931\) | −3.86254 | − | 3.86254i | −0.126590 | − | 0.126590i | ||||
\(932\) | −4.75852 | − | 45.2743i | −0.155870 | − | 1.48301i | ||||
\(933\) | 0.900315 | − | 8.56592i | 0.0294750 | − | 0.280436i | ||||
\(934\) | 0.0435812 | + | 0.0283020i | 0.00142602 | + | 0.000926069i | ||||
\(935\) | − | 31.2877i | − | 1.02322i | ||||||
\(936\) | −0.680485 | + | 0.183182i | −0.0222424 | + | 0.00598748i | ||||
\(937\) | −13.8339 | + | 42.5764i | −0.451934 | + | 1.39091i | 0.422762 | + | 0.906241i | \(0.361060\pi\) |
−0.874697 | + | 0.484670i | \(0.838940\pi\) | |||||||
\(938\) | −0.0108495 | − | 0.207021i | −0.000354249 | − | 0.00675947i | ||||
\(939\) | −15.9982 | + | 17.7678i | −0.522083 | + | 0.579832i | ||||
\(940\) | 8.17586 | − | 0.859318i | 0.266667 | − | 0.0280278i | ||||
\(941\) | −24.0956 | + | 12.2773i | −0.785495 | + | 0.400230i | −0.800254 | − | 0.599661i | \(-0.795302\pi\) |
0.0147590 | + | 0.999891i | \(0.495302\pi\) | |||||||
\(942\) | 0.574145 | − | 0.709010i | 0.0187067 | − | 0.0231008i | ||||
\(943\) | −2.09972 | + | 5.46996i | −0.0683763 | + | 0.178126i | ||||
\(944\) | 15.5116 | − | 30.4432i | 0.504860 | − | 0.990843i | ||||
\(945\) | 0.712483 | + | 1.60026i | 0.0231771 | + | 0.0520566i | ||||
\(946\) | 1.74152 | + | 0.183042i | 0.0566219 | + | 0.00595120i | ||||
\(947\) | 2.43641 | + | 46.4895i | 0.0791728 | + | 1.51071i | 0.692811 | + | 0.721120i | \(0.256372\pi\) |
−0.613638 | + | 0.789588i | \(0.710294\pi\) | |||||||
\(948\) | −36.8126 | + | 50.6682i | −1.19562 | + | 1.64563i | ||||
\(949\) | −1.80021 | + | 11.4521i | −0.0584374 | + | 0.371749i | ||||
\(950\) | 0.0312018 | − | 0.0960294i | 0.00101232 | − | 0.00311560i | ||||
\(951\) | −11.9739 | − | 31.1930i | −0.388280 | − | 1.01150i | ||||
\(952\) | −0.278983 | − | 0.251198i | −0.00904190 | − | 0.00814136i | ||||
\(953\) | 12.5351 | + | 2.66443i | 0.406053 | + | 0.0863092i | 0.406410 | − | 0.913691i | \(-0.366780\pi\) |
−0.000357272 | 1.00000i | \(0.500114\pi\) | ||||||||
\(954\) | 0.535012 | − | 0.272602i | 0.0173216 | − | 0.00882582i | ||||
\(955\) | −1.48081 | − | 5.52645i | −0.0479178 | − | 0.178832i | ||||
\(956\) | 3.12200 | + | 11.6515i | 0.100973 | + | 0.376836i | ||||
\(957\) | 20.7694 | + | 40.7623i | 0.671381 | + | 1.31766i | ||||
\(958\) | −1.24422 | + | 0.553962i | −0.0401989 | + | 0.0178977i | ||||
\(959\) | −9.29154 | − | 4.13686i | −0.300039 | − | 0.133586i | ||||
\(960\) | −17.6046 | − | 4.71713i | −0.568185 | − | 0.152245i | ||||
\(961\) | −18.9546 | − | 24.5300i | −0.611440 | − | 0.791291i | ||||
\(962\) | −0.118968 | − | 0.0685025i | −0.00383569 | − | 0.00220861i | ||||
\(963\) | 11.5762 | − | 8.41058i | 0.373037 | − | 0.271027i | ||||
\(964\) | 8.94475 | − | 7.24331i | 0.288091 | − | 0.233291i | ||||
\(965\) | 0.790601 | − | 0.168047i | 0.0254503 | − | 0.00540964i | ||||
\(966\) | −0.123132 | − | 0.0710905i | −0.00396172 | − | 0.00228730i | ||||
\(967\) | 38.2502 | + | 38.2502i | 1.23004 | + | 1.23004i | 0.963946 | + | 0.266096i | \(0.0857339\pi\) |
0.266096 | + | 0.963946i | \(0.414266\pi\) | |||||||
\(968\) | 2.01647 | + | 0.105679i | 0.0648120 | + | 0.00339665i | ||||
\(969\) | −5.28697 | − | 8.14122i | −0.169842 | − | 0.261534i | ||||
\(970\) | 0.155720 | − | 0.305618i | 0.00499987 | − | 0.00981279i | ||||
\(971\) | 0.997075 | + | 9.48654i | 0.0319977 | + | 0.304437i | 0.998803 | + | 0.0489219i | \(0.0155785\pi\) |
−0.966805 | + | 0.255516i | \(0.917755\pi\) | |||||||
\(972\) | 28.1190 | − | 5.97688i | 0.901918 | − | 0.191709i | ||||
\(973\) | −3.72015 | + | 1.42803i | −0.119263 | + | 0.0457806i | ||||
\(974\) | −0.653604 | − | 0.474871i | −0.0209428 | − | 0.0152159i | ||||
\(975\) | −19.6512 | + | 21.8759i | −0.629342 | + | 0.700588i | ||||
\(976\) | −12.2503 | + | 16.8611i | −0.392122 | + | 0.539710i | ||||
\(977\) | −10.7121 | − | 13.2284i | −0.342711 | − | 0.423213i | 0.576427 | − | 0.817149i | \(-0.304446\pi\) |
−0.919138 | + | 0.393936i | \(0.871113\pi\) | |||||||
\(978\) | −0.937553 | − | 0.844177i | −0.0299796 | − | 0.0269938i | ||||
\(979\) | −4.52696 | − | 10.1677i | −0.144682 | − | 0.324962i | ||||
\(980\) | 2.26738 | − | 14.3157i | 0.0724287 | − | 0.457297i | ||||
\(981\) | 18.7204 | + | 0.981093i | 0.597695 | + | 0.0313239i | ||||
\(982\) | −0.808242 | − | 0.654501i | −0.0257920 | − | 0.0208860i | ||||
\(983\) | −34.9312 | − | 17.7983i | −1.11413 | − | 0.567678i | −0.202746 | − | 0.979231i | \(-0.564986\pi\) |
−0.911386 | + | 0.411553i | \(0.864986\pi\) | |||||||
\(984\) | −0.0833573 | + | 0.392165i | −0.00265733 | + | 0.0125018i | ||||
\(985\) | −19.5301 | + | 4.15125i | −0.622281 | + | 0.132270i | ||||
\(986\) | 0.197700 | − | 0.737827i | 0.00629606 | − | 0.0234972i | ||||
\(987\) | −4.16683 | −0.132632 | ||||||||
\(988\) | 4.90533 | + | 3.17748i | 0.156059 | + | 0.101089i | ||||
\(989\) | 34.0967 | + | 24.7727i | 1.08421 | + | 0.787725i | ||||
\(990\) | −0.0971983 | − | 0.253210i | −0.00308917 | − | 0.00804755i | ||||
\(991\) | −45.9613 | + | 26.5358i | −1.46001 | + | 0.842936i | −0.999011 | − | 0.0444655i | \(-0.985842\pi\) |
−0.460997 | + | 0.887402i | \(0.652508\pi\) | |||||||
\(992\) | −2.12332 | − | 0.418625i | −0.0674155 | − | 0.0132914i | ||||
\(993\) | −19.3429 | + | 19.3429i | −0.613828 | + | 0.613828i | ||||
\(994\) | −0.0716065 | − | 0.0579858i | −0.00227122 | − | 0.00183920i | ||||
\(995\) | −3.26692 | + | 8.51061i | −0.103568 | + | 0.269804i | ||||
\(996\) | −40.4668 | + | 20.6189i | −1.28224 | + | 0.653334i | ||||
\(997\) | 14.8654 | − | 25.7476i | 0.470792 | − | 0.815435i | −0.528650 | − | 0.848840i | \(-0.677302\pi\) |
0.999442 | + | 0.0334048i | \(0.0106351\pi\) | |||||||
\(998\) | 0.0625980 | + | 0.108423i | 0.00198151 | + | 0.00343207i | ||||
\(999\) | 3.12099 | + | 2.02679i | 0.0987437 | + | 0.0641249i |
(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 | 403.2.cb.a.15.19 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.19 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.19 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.19 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.19 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.19 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.19 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.19 | yes | 576 | 403.215 | even | 60 | inner |