Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(4,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.z (of order \(30\), degree \(8\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(208\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 287.4 |
Dual form | 287.2.z.a.72.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.12964 | − | 0.948175i | −1.50588 | − | 0.670461i | −0.522603 | − | 0.852576i | \(-0.675039\pi\) |
−0.983277 | + | 0.182116i | \(0.941705\pi\) | |||||||
\(3\) | 1.26625 | + | 0.731069i | 0.731069 | + | 0.422083i | 0.818813 | − | 0.574060i | \(-0.194633\pi\) |
−0.0877443 | + | 0.996143i | \(0.527966\pi\) | |||||||
\(4\) | 2.29805 | + | 2.55224i | 1.14903 | + | 1.27612i | ||||
\(5\) | 3.03336 | − | 0.644761i | 1.35656 | − | 0.288346i | 0.528476 | − | 0.848948i | \(-0.322764\pi\) |
0.828085 | + | 0.560602i | \(0.189430\pi\) | |||||||
\(6\) | −2.00347 | − | 2.75753i | −0.817912 | − | 1.12576i | ||||
\(7\) | 2.17812 | − | 1.50193i | 0.823253 | − | 0.567675i | ||||
\(8\) | −1.03329 | − | 3.18014i | −0.365323 | − | 1.12435i | ||||
\(9\) | −0.431077 | − | 0.746647i | −0.143692 | − | 0.248882i | ||||
\(10\) | −7.07130 | − | 1.50305i | −2.23614 | − | 0.475307i | ||||
\(11\) | −0.532002 | + | 2.50287i | −0.160405 | + | 0.754645i | 0.822239 | + | 0.569142i | \(0.192725\pi\) |
−0.982644 | + | 0.185503i | \(0.940609\pi\) | |||||||
\(12\) | 1.04404 | + | 4.91181i | 0.301387 | + | 1.41792i | ||||
\(13\) | 0.216929 | + | 0.298577i | 0.0601652 | + | 0.0828102i | 0.838039 | − | 0.545610i | \(-0.183702\pi\) |
−0.777874 | + | 0.628420i | \(0.783702\pi\) | |||||||
\(14\) | −6.06270 | + | 1.13331i | −1.62032 | + | 0.302891i | ||||
\(15\) | 4.31236 | + | 1.40117i | 1.11345 | + | 0.361780i | ||||
\(16\) | −0.0968162 | + | 0.921144i | −0.0242040 | + | 0.230286i | ||||
\(17\) | −0.870024 | + | 4.09314i | −0.211012 | + | 0.992733i | 0.737342 | + | 0.675519i | \(0.236080\pi\) |
−0.948354 | + | 0.317213i | \(0.897253\pi\) | |||||||
\(18\) | 0.210085 | + | 1.99882i | 0.0495175 | + | 0.471127i | ||||
\(19\) | 2.88552 | + | 0.303280i | 0.661984 | + | 0.0695773i | 0.429561 | − | 0.903038i | \(-0.358668\pi\) |
0.232422 | + | 0.972615i | \(0.425335\pi\) | |||||||
\(20\) | 8.61641 | + | 6.26019i | 1.92669 | + | 1.39982i | ||||
\(21\) | 3.85605 | − | 0.309454i | 0.841460 | − | 0.0675285i | ||||
\(22\) | 3.50613 | − | 4.82578i | 0.747510 | − | 1.02886i | ||||
\(23\) | −4.91100 | − | 2.18652i | −1.02401 | − | 0.455920i | −0.175156 | − | 0.984541i | \(-0.556043\pi\) |
−0.848858 | + | 0.528620i | \(0.822710\pi\) | |||||||
\(24\) | 1.01650 | − | 4.78225i | 0.207492 | − | 0.976174i | ||||
\(25\) | 4.21785 | − | 1.87791i | 0.843570 | − | 0.375581i | ||||
\(26\) | −0.178876 | − | 0.841545i | −0.0350805 | − | 0.165041i | ||||
\(27\) | − | 5.64700i | − | 1.08677i | ||||||
\(28\) | 8.83872 | + | 2.10760i | 1.67036 | + | 0.398298i | ||||
\(29\) | −5.09755 | − | 1.65629i | −0.946592 | − | 0.307566i | −0.205262 | − | 0.978707i | \(-0.565805\pi\) |
−0.741330 | + | 0.671141i | \(0.765805\pi\) | |||||||
\(30\) | −7.85519 | − | 7.07285i | −1.43416 | − | 1.29132i | ||||
\(31\) | 3.71896 | + | 0.790489i | 0.667945 | + | 0.141976i | 0.529390 | − | 0.848379i | \(-0.322421\pi\) |
0.138555 | + | 0.990355i | \(0.455754\pi\) | |||||||
\(32\) | −2.26421 | + | 3.92173i | −0.400259 | + | 0.693270i | ||||
\(33\) | −2.50342 | + | 2.78033i | −0.435789 | + | 0.483993i | ||||
\(34\) | 5.73385 | − | 7.89196i | 0.983347 | − | 1.35346i | ||||
\(35\) | 5.63865 | − | 5.96026i | 0.953106 | − | 1.00747i | ||||
\(36\) | 0.914989 | − | 2.81605i | 0.152498 | − | 0.469341i | ||||
\(37\) | 0.270552 | − | 0.0575076i | 0.0444785 | − | 0.00945420i | −0.185619 | − | 0.982622i | \(-0.559429\pi\) |
0.230097 | + | 0.973168i | \(0.426096\pi\) | |||||||
\(38\) | −5.85754 | − | 3.38186i | −0.950219 | − | 0.548609i | ||||
\(39\) | 0.0564054 | + | 0.536662i | 0.00903209 | + | 0.0859346i | ||||
\(40\) | −5.18478 | − | 8.98030i | −0.819785 | − | 1.41991i | ||||
\(41\) | 6.03956 | + | 2.12689i | 0.943221 | + | 0.332165i | ||||
\(42\) | −8.50541 | − | 2.99719i | −1.31241 | − | 0.462476i | ||||
\(43\) | 0.780459 | − | 0.567037i | 0.119019 | − | 0.0864723i | −0.526683 | − | 0.850061i | \(-0.676565\pi\) |
0.645702 | + | 0.763589i | \(0.276565\pi\) | |||||||
\(44\) | −7.61051 | + | 4.39393i | −1.14733 | + | 0.662410i | ||||
\(45\) | −1.78902 | − | 1.98691i | −0.266692 | − | 0.296191i | ||||
\(46\) | 8.38544 | + | 9.31297i | 1.23637 | + | 1.37312i | ||||
\(47\) | 4.23101 | − | 9.50300i | 0.617156 | − | 1.38615i | −0.286577 | − | 0.958057i | \(-0.592517\pi\) |
0.903733 | − | 0.428098i | \(-0.140816\pi\) | |||||||
\(48\) | −0.796013 | + | 1.09562i | −0.114895 | + | 0.158139i | ||||
\(49\) | 2.48843 | − | 6.54276i | 0.355491 | − | 0.934680i | ||||
\(50\) | −10.7631 | −1.52213 | ||||||||
\(51\) | −4.09403 | + | 4.54689i | −0.573279 | + | 0.636691i | ||||
\(52\) | −0.263527 | + | 1.23980i | −0.0365447 | + | 0.171929i | ||||
\(53\) | −4.50332 | + | 4.05481i | −0.618578 | + | 0.556971i | −0.917715 | − | 0.397240i | \(-0.869968\pi\) |
0.299136 | + | 0.954210i | \(0.403301\pi\) | |||||||
\(54\) | −5.35434 | + | 12.0261i | −0.728634 | + | 1.63654i | ||||
\(55\) | 7.93514i | 1.06997i | ||||||||
\(56\) | −7.02697 | − | 5.37481i | −0.939019 | − | 0.718239i | ||||
\(57\) | 3.43207 | + | 2.49354i | 0.454588 | + | 0.330278i | ||||
\(58\) | 9.28547 | + | 8.36067i | 1.21924 | + | 1.09781i | ||||
\(59\) | 0.389838 | + | 3.70906i | 0.0507526 | + | 0.482879i | 0.990146 | + | 0.140038i | \(0.0447225\pi\) |
−0.939394 | + | 0.342841i | \(0.888611\pi\) | |||||||
\(60\) | 6.33388 | + | 14.2261i | 0.817701 | + | 1.83659i | ||||
\(61\) | −1.49886 | + | 14.2607i | −0.191910 | + | 1.82590i | 0.298502 | + | 0.954409i | \(0.403513\pi\) |
−0.490412 | + | 0.871491i | \(0.663154\pi\) | |||||||
\(62\) | −7.17051 | − | 5.20968i | −0.910655 | − | 0.661630i | ||||
\(63\) | −2.06035 | − | 0.978843i | −0.259579 | − | 0.123323i | ||||
\(64\) | 10.0391 | − | 7.29381i | 1.25488 | − | 0.911727i | ||||
\(65\) | 0.850534 | + | 0.765824i | 0.105496 | + | 0.0949888i | ||||
\(66\) | 7.96761 | − | 3.54741i | 0.980745 | − | 0.436656i | ||||
\(67\) | 4.35345 | − | 3.91986i | 0.531859 | − | 0.478888i | −0.358893 | − | 0.933379i | \(-0.616846\pi\) |
0.890751 | + | 0.454491i | \(0.150179\pi\) | |||||||
\(68\) | −12.4461 | + | 7.18573i | −1.50931 | + | 0.871398i | ||||
\(69\) | −4.62005 | − | 6.35895i | −0.556188 | − | 0.765528i | ||||
\(70\) | −17.6596 | + | 7.34675i | −2.11073 | + | 0.878104i | ||||
\(71\) | −14.8300 | + | 4.81857i | −1.76000 | + | 0.571859i | −0.997200 | − | 0.0747762i | \(-0.976176\pi\) |
−0.762800 | + | 0.646635i | \(0.776176\pi\) | |||||||
\(72\) | −1.92902 | + | 2.14239i | −0.227337 | + | 0.252483i | ||||
\(73\) | 0.507071 | − | 0.878274i | 0.0593482 | − | 0.102794i | −0.834825 | − | 0.550516i | \(-0.814431\pi\) |
0.894173 | + | 0.447722i | \(0.147764\pi\) | |||||||
\(74\) | −0.630705 | − | 0.134060i | −0.0733179 | − | 0.0155842i | ||||
\(75\) | 6.71372 | + | 0.705641i | 0.775234 | + | 0.0814803i | ||||
\(76\) | 5.85703 | + | 8.06151i | 0.671847 | + | 0.924718i | ||||
\(77\) | 2.60037 | + | 6.25059i | 0.296339 | + | 0.712321i | ||||
\(78\) | 0.388726 | − | 1.19638i | 0.0440146 | − | 0.135463i | ||||
\(79\) | −13.1815 | + | 7.61033i | −1.48303 | + | 0.856229i | −0.999814 | − | 0.0192704i | \(-0.993866\pi\) |
−0.483218 | + | 0.875500i | \(0.660532\pi\) | |||||||
\(80\) | 0.300240 | + | 2.85659i | 0.0335678 | + | 0.319376i | ||||
\(81\) | 2.83511 | − | 4.91056i | 0.315013 | − | 0.545618i | ||||
\(82\) | −10.8454 | − | 10.2561i | −1.19767 | − | 1.13259i | ||||
\(83\) | −1.86657 | −0.204882 | −0.102441 | − | 0.994739i | \(-0.532665\pi\) | ||||
−0.102441 | + | 0.994739i | \(0.532665\pi\) | |||||||
\(84\) | 9.65121 | + | 9.13045i | 1.05303 | + | 0.996214i | ||||
\(85\) | 12.9769i | 1.40755i | ||||||||
\(86\) | −2.19974 | + | 0.467570i | −0.237204 | + | 0.0504193i | ||||
\(87\) | −5.24390 | − | 5.82394i | −0.562205 | − | 0.624392i | ||||
\(88\) | 8.50920 | − | 0.894353i | 0.907084 | − | 0.0953384i | ||||
\(89\) | 0.757612 | + | 0.0796282i | 0.0803067 | + | 0.00844058i | 0.144597 | − | 0.989491i | \(-0.453812\pi\) |
−0.0642899 | + | 0.997931i | \(0.520478\pi\) | |||||||
\(90\) | 1.92603 | + | 5.92770i | 0.203021 | + | 0.624835i | ||||
\(91\) | 0.920937 | + | 0.324525i | 0.0965404 | + | 0.0340195i | ||||
\(92\) | −5.70520 | − | 17.5588i | −0.594808 | − | 1.83063i | ||||
\(93\) | 4.13122 | + | 3.71977i | 0.428388 | + | 0.385722i | ||||
\(94\) | −18.0210 | + | 16.2262i | −1.85873 | + | 1.67360i | ||||
\(95\) | 8.94838 | − | 0.940512i | 0.918084 | − | 0.0964945i | ||||
\(96\) | −5.73410 | + | 3.31059i | −0.585234 | + | 0.337885i | ||||
\(97\) | −11.9916 | − | 3.89631i | −1.21756 | − | 0.395611i | −0.371370 | − | 0.928485i | \(-0.621112\pi\) |
−0.846194 | + | 0.532874i | \(0.821112\pi\) | |||||||
\(98\) | −11.5031 | + | 11.5742i | −1.16199 | + | 1.16917i | ||||
\(99\) | 2.09810 | − | 0.681713i | 0.210867 | − | 0.0685148i | ||||
\(100\) | 14.4857 | + | 6.44945i | 1.44857 | + | 0.644945i | ||||
\(101\) | −0.363037 | − | 0.815395i | −0.0361235 | − | 0.0811348i | 0.894583 | − | 0.446903i | \(-0.147473\pi\) |
−0.930706 | + | 0.365768i | \(0.880806\pi\) | |||||||
\(102\) | 13.0300 | − | 5.80135i | 1.29017 | − | 0.574419i | ||||
\(103\) | 1.70376 | − | 16.2102i | 0.167876 | − | 1.59723i | −0.508755 | − | 0.860911i | \(-0.669894\pi\) |
0.676631 | − | 0.736322i | \(-0.263439\pi\) | |||||||
\(104\) | 0.725365 | − | 0.998380i | 0.0711279 | − | 0.0978992i | ||||
\(105\) | 11.4973 | − | 3.42492i | 1.12202 | − | 0.334238i | ||||
\(106\) | 13.4351 | − | 4.36533i | 1.30493 | − | 0.423998i | ||||
\(107\) | 1.70587 | − | 16.2302i | 0.164912 | − | 1.56904i | −0.528776 | − | 0.848762i | \(-0.677349\pi\) |
0.693688 | − | 0.720276i | \(-0.255985\pi\) | |||||||
\(108\) | 14.4125 | − | 12.9771i | 1.38685 | − | 1.24872i | ||||
\(109\) | −5.68541 | − | 3.28248i | −0.544564 | − | 0.314404i | 0.202363 | − | 0.979311i | \(-0.435138\pi\) |
−0.746927 | + | 0.664907i | \(0.768471\pi\) | |||||||
\(110\) | 7.52390 | − | 16.8990i | 0.717376 | − | 1.61125i | ||||
\(111\) | 0.384628 | + | 0.124973i | 0.0365073 | + | 0.0118619i | ||||
\(112\) | 1.17261 | + | 2.15178i | 0.110802 | + | 0.203324i | ||||
\(113\) | 5.49415 | + | 16.9092i | 0.516846 | + | 1.59069i | 0.779898 | + | 0.625907i | \(0.215271\pi\) |
−0.263052 | + | 0.964782i | \(0.584729\pi\) | |||||||
\(114\) | −4.94474 | − | 8.56454i | −0.463117 | − | 0.802142i | ||||
\(115\) | −16.3066 | − | 3.46608i | −1.52060 | − | 0.323214i | ||||
\(116\) | −7.48716 | − | 16.8164i | −0.695166 | − | 1.56137i | ||||
\(117\) | 0.129418 | − | 0.290679i | 0.0119647 | − | 0.0268733i | ||||
\(118\) | 2.68663 | − | 8.26859i | 0.247324 | − | 0.761185i | ||||
\(119\) | 4.25258 | + | 10.2221i | 0.389833 | + | 0.937056i | ||||
\(120\) | − | 15.1617i | − | 1.38407i | ||||||
\(121\) | 4.06765 | + | 1.81103i | 0.369786 | + | 0.164639i | ||||
\(122\) | 16.7137 | − | 28.9490i | 1.51319 | − | 2.62092i | ||||
\(123\) | 6.09268 | + | 7.10851i | 0.549359 | + | 0.640953i | ||||
\(124\) | 6.52884 | + | 11.3083i | 0.586307 | + | 1.01551i | ||||
\(125\) | −0.960873 | + | 0.698115i | −0.0859431 | + | 0.0624413i | ||||
\(126\) | 3.45968 | + | 4.03815i | 0.308212 | + | 0.359747i | ||||
\(127\) | 0.848881 | − | 2.61259i | 0.0753260 | − | 0.231830i | −0.906303 | − | 0.422628i | \(-0.861108\pi\) |
0.981629 | + | 0.190798i | \(0.0611077\pi\) | |||||||
\(128\) | −19.4365 | + | 4.13135i | −1.71796 | + | 0.365163i | ||||
\(129\) | 1.40280 | − | 0.147440i | 0.123509 | − | 0.0129814i | ||||
\(130\) | −1.08519 | − | 2.43738i | −0.0951776 | − | 0.213772i | ||||
\(131\) | −12.1976 | + | 13.5468i | −1.06571 | + | 1.18359i | −0.0833614 | + | 0.996519i | \(0.526566\pi\) |
−0.982347 | + | 0.187069i | \(0.940101\pi\) | |||||||
\(132\) | −12.8491 | −1.11837 | ||||||||
\(133\) | 6.74052 | − | 3.67326i | 0.584477 | − | 0.318512i | ||||
\(134\) | −12.9880 | + | 4.22005i | −1.12199 | + | 0.364557i | ||||
\(135\) | −3.64097 | − | 17.1294i | −0.313365 | − | 1.47426i | ||||
\(136\) | 13.9158 | − | 1.46260i | 1.19327 | − | 0.125417i | ||||
\(137\) | −14.6365 | − | 8.45041i | −1.25048 | − | 0.721967i | −0.279279 | − | 0.960210i | \(-0.590095\pi\) |
−0.971206 | + | 0.238243i | \(0.923429\pi\) | |||||||
\(138\) | 3.80962 | + | 17.9229i | 0.324297 | + | 1.52570i | ||||
\(139\) | 6.67621 | + | 4.85055i | 0.566269 | + | 0.411418i | 0.833748 | − | 0.552145i | \(-0.186191\pi\) |
−0.267479 | + | 0.963564i | \(0.586191\pi\) | |||||||
\(140\) | 28.1699 | + | 0.694242i | 2.38079 | + | 0.0586742i | ||||
\(141\) | 12.3049 | − | 8.94000i | 1.03626 | − | 0.752884i | ||||
\(142\) | 36.1514 | + | 3.79966i | 3.03376 | + | 0.318861i | ||||
\(143\) | −0.862706 | + | 0.384101i | −0.0721431 | + | 0.0321202i | ||||
\(144\) | 0.729505 | − | 0.324797i | 0.0607921 | − | 0.0270664i | ||||
\(145\) | −16.5306 | − | 1.73744i | −1.37280 | − | 0.144287i | ||||
\(146\) | −1.91263 | + | 1.38961i | −0.158291 | + | 0.115005i | ||||
\(147\) | 7.93418 | − | 6.46554i | 0.654400 | − | 0.533269i | ||||
\(148\) | 0.768516 | + | 0.558359i | 0.0631716 | + | 0.0458969i | ||||
\(149\) | 2.91705 | + | 13.7237i | 0.238974 | + | 1.12429i | 0.919967 | + | 0.391996i | \(0.128215\pi\) |
−0.680992 | + | 0.732290i | \(0.738451\pi\) | |||||||
\(150\) | −13.6287 | − | 7.86854i | −1.11278 | − | 0.642463i | ||||
\(151\) | −18.3550 | + | 1.92918i | −1.49371 | + | 0.156995i | −0.815877 | − | 0.578225i | \(-0.803745\pi\) |
−0.677828 | + | 0.735220i | \(0.737079\pi\) | |||||||
\(152\) | −2.01711 | − | 9.48974i | −0.163609 | − | 0.769720i | ||||
\(153\) | 3.43118 | − | 1.11486i | 0.277395 | − | 0.0901310i | ||||
\(154\) | 0.388823 | − | 15.7771i | 0.0313323 | − | 1.27135i | ||||
\(155\) | 11.7906 | 0.947046 | ||||||||
\(156\) | −1.24007 | + | 1.37724i | −0.0992850 | + | 0.110267i | ||||
\(157\) | 1.41326 | + | 3.17423i | 0.112790 | + | 0.253331i | 0.961117 | − | 0.276142i | \(-0.0890561\pi\) |
−0.848326 | + | 0.529474i | \(0.822389\pi\) | |||||||
\(158\) | 35.2877 | − | 3.70888i | 2.80734 | − | 0.295063i | ||||
\(159\) | −8.66666 | + | 1.84216i | −0.687311 | + | 0.146092i | ||||
\(160\) | −4.33959 | + | 13.3559i | −0.343075 | + | 1.05588i | ||||
\(161\) | −13.9807 | + | 2.61346i | −1.10184 | + | 0.205969i | ||||
\(162\) | −10.6938 | + | 7.76952i | −0.840187 | + | 0.610431i | ||||
\(163\) | 4.25403 | + | 7.36819i | 0.333201 | + | 0.577121i | 0.983138 | − | 0.182867i | \(-0.0585379\pi\) |
−0.649937 | + | 0.759989i | \(0.725205\pi\) | |||||||
\(164\) | 8.45087 | + | 20.3021i | 0.659902 | + | 1.58533i | ||||
\(165\) | −5.80113 | + | 10.0479i | −0.451618 | + | 0.782225i | ||||
\(166\) | 3.97510 | + | 1.76983i | 0.308528 | + | 0.137365i | ||||
\(167\) | − | 6.05040i | − | 0.468194i | −0.972213 | − | 0.234097i | \(-0.924787\pi\) | ||
0.972213 | − | 0.234097i | \(-0.0752133\pi\) | |||||||
\(168\) | −4.96853 | − | 11.9430i | −0.383331 | − | 0.921426i | ||||
\(169\) | 3.97513 | − | 12.2342i | 0.305779 | − | 0.941092i | ||||
\(170\) | 12.3044 | − | 27.6362i | 0.943705 | − | 2.11960i | ||||
\(171\) | −1.01744 | − | 2.28520i | −0.0778055 | − | 0.174754i | ||||
\(172\) | 3.24075 | + | 0.688842i | 0.247105 | + | 0.0525237i | ||||
\(173\) | 2.89658 | + | 5.01702i | 0.220223 | + | 0.381437i | 0.954876 | − | 0.297006i | \(-0.0959882\pi\) |
−0.734653 | + | 0.678443i | \(0.762655\pi\) | |||||||
\(174\) | 5.64548 | + | 17.3750i | 0.427983 | + | 1.31720i | ||||
\(175\) | 6.36651 | − | 10.4252i | 0.481263 | − | 0.788072i | ||||
\(176\) | −2.25400 | − | 0.732369i | −0.169902 | − | 0.0552044i | ||||
\(177\) | −2.21795 | + | 4.98159i | −0.166711 | + | 0.374439i | ||||
\(178\) | −1.53794 | − | 0.887928i | −0.115273 | − | 0.0665530i | ||||
\(179\) | 5.25883 | − | 4.73507i | 0.393063 | − | 0.353916i | −0.448776 | − | 0.893644i | \(-0.648140\pi\) |
0.841839 | + | 0.539729i | \(0.181473\pi\) | |||||||
\(180\) | 0.959817 | − | 9.13204i | 0.0715405 | − | 0.680662i | ||||
\(181\) | −6.42740 | + | 2.08839i | −0.477745 | + | 0.155229i | −0.537984 | − | 0.842955i | \(-0.680814\pi\) |
0.0602389 | + | 0.998184i | \(0.480814\pi\) | |||||||
\(182\) | −1.65355 | − | 1.56433i | −0.122569 | − | 0.115956i | ||||
\(183\) | −12.3235 | + | 16.9619i | −0.910980 | + | 1.25386i | ||||
\(184\) | −1.87895 | + | 17.8770i | −0.138518 | + | 1.31791i | ||||
\(185\) | 0.783604 | − | 0.348883i | 0.0576117 | − | 0.0256504i | ||||
\(186\) | −5.27101 | − | 11.8389i | −0.386489 | − | 0.868069i | ||||
\(187\) | −9.78176 | − | 4.35512i | −0.715313 | − | 0.318478i | ||||
\(188\) | 33.9770 | − | 11.0398i | 2.47803 | − | 0.805161i | ||||
\(189\) | −8.48138 | − | 12.2999i | −0.616930 | − | 0.894683i | ||||
\(190\) | −19.9485 | − | 6.48168i | −1.44722 | − | 0.470230i | ||||
\(191\) | 21.0337 | − | 12.1438i | 1.52194 | − | 0.878695i | 0.522280 | − | 0.852774i | \(-0.325082\pi\) |
0.999664 | − | 0.0259202i | \(-0.00825159\pi\) | |||||||
\(192\) | 18.0442 | − | 1.89653i | 1.30223 | − | 0.136870i | ||||
\(193\) | −3.09009 | + | 2.78233i | −0.222429 | + | 0.200276i | −0.772810 | − | 0.634638i | \(-0.781149\pi\) |
0.550380 | + | 0.834914i | \(0.314483\pi\) | |||||||
\(194\) | 21.8434 | + | 19.6679i | 1.56826 | + | 1.41207i | ||||
\(195\) | 0.517117 | + | 1.59152i | 0.0370315 | + | 0.113971i | ||||
\(196\) | 22.4173 | − | 8.68450i | 1.60123 | − | 0.620321i | ||||
\(197\) | −5.42967 | − | 16.7108i | −0.386848 | − | 1.19060i | −0.935131 | − | 0.354303i | \(-0.884718\pi\) |
0.548283 | − | 0.836293i | \(-0.315282\pi\) | |||||||
\(198\) | −5.11457 | − | 0.537563i | −0.363477 | − | 0.0382029i | ||||
\(199\) | −14.1943 | + | 1.49188i | −1.00621 | + | 0.105757i | −0.593270 | − | 0.805003i | \(-0.702163\pi\) |
−0.412936 | + | 0.910760i | \(0.635497\pi\) | |||||||
\(200\) | −10.3303 | − | 11.4729i | −0.730460 | − | 0.811259i | ||||
\(201\) | 8.37824 | − | 1.78085i | 0.590955 | − | 0.125611i | ||||
\(202\) | 2.08072i | 0.146399i | ||||||||
\(203\) | −13.5907 | + | 4.04853i | −0.953882 | + | 0.284151i | ||||
\(204\) | −21.0131 | −1.47121 | ||||||||
\(205\) | 19.6915 | + | 2.55756i | 1.37532 | + | 0.178628i | ||||
\(206\) | −18.9984 | + | 32.9063i | −1.32368 | + | 2.29269i | ||||
\(207\) | 0.484461 | + | 4.60934i | 0.0336724 | + | 0.320371i | ||||
\(208\) | −0.296034 | + | 0.170915i | −0.0205263 | + | 0.0118509i | ||||
\(209\) | −2.29418 | + | 7.06075i | −0.158691 | + | 0.488402i | ||||
\(210\) | −27.7325 | − | 3.60760i | −1.91372 | − | 0.248948i | ||||
\(211\) | 6.59126 | + | 9.07209i | 0.453761 | + | 0.624548i | 0.973200 | − | 0.229959i | \(-0.0738592\pi\) |
−0.519439 | + | 0.854507i | \(0.673859\pi\) | |||||||
\(212\) | −20.6977 | − | 2.17542i | −1.42152 | − | 0.149408i | ||||
\(213\) | −22.3012 | − | 4.74026i | −1.52805 | − | 0.324798i | ||||
\(214\) | −19.0220 | + | 32.9470i | −1.30032 | + | 2.25221i | ||||
\(215\) | 2.00181 | − | 2.22324i | 0.136522 | − | 0.151624i | ||||
\(216\) | −17.9583 | + | 5.83499i | −1.22190 | + | 0.397021i | ||||
\(217\) | 9.28761 | − | 3.86382i | 0.630484 | − | 0.262293i | ||||
\(218\) | 8.99550 | + | 12.3812i | 0.609252 | + | 0.838564i | ||||
\(219\) | 1.28416 | − | 0.741408i | 0.0867753 | − | 0.0500997i | ||||
\(220\) | −20.2524 | + | 18.2354i | −1.36542 | + | 1.22943i | ||||
\(221\) | −1.41085 | + | 0.628150i | −0.0949040 | + | 0.0422540i | ||||
\(222\) | −0.700621 | − | 0.630842i | −0.0470226 | − | 0.0423394i | ||||
\(223\) | −17.0665 | + | 12.3995i | −1.14285 | + | 0.830332i | −0.987514 | − | 0.157529i | \(-0.949647\pi\) |
−0.155340 | + | 0.987861i | \(0.549647\pi\) | |||||||
\(224\) | 0.958418 | + | 11.9427i | 0.0640370 | + | 0.797954i | ||||
\(225\) | −3.22035 | − | 2.33972i | −0.214690 | − | 0.155982i | ||||
\(226\) | 4.33239 | − | 41.2199i | 0.288186 | − | 2.74191i | ||||
\(227\) | 6.91101 | + | 15.5224i | 0.458700 | + | 1.03026i | 0.983809 | + | 0.179221i | \(0.0573578\pi\) |
−0.525109 | + | 0.851035i | \(0.675976\pi\) | |||||||
\(228\) | 1.52293 | + | 14.4898i | 0.100859 | + | 0.959608i | ||||
\(229\) | 9.39712 | + | 8.46121i | 0.620979 | + | 0.559132i | 0.918419 | − | 0.395608i | \(-0.129466\pi\) |
−0.297440 | + | 0.954741i | \(0.596133\pi\) | |||||||
\(230\) | 31.4407 | + | 22.8430i | 2.07314 | + | 1.50622i | ||||
\(231\) | −1.27690 | + | 9.81585i | −0.0840141 | + | 0.645835i | ||||
\(232\) | 17.9224i | 1.17666i | ||||||||
\(233\) | −4.00298 | + | 8.99084i | −0.262244 | + | 0.589009i | −0.995895 | − | 0.0905171i | \(-0.971148\pi\) |
0.733651 | + | 0.679526i | \(0.237815\pi\) | |||||||
\(234\) | −0.551228 | + | 0.496328i | −0.0360349 | + | 0.0324460i | ||||
\(235\) | 6.70702 | − | 31.5540i | 0.437518 | − | 2.05836i | ||||
\(236\) | −8.57056 | + | 9.51858i | −0.557896 | + | 0.619607i | ||||
\(237\) | −22.2547 | −1.44560 | ||||||||
\(238\) | 0.635872 | − | 25.8015i | 0.0412175 | − | 1.67246i | ||||
\(239\) | 0.603153 | − | 0.830169i | 0.0390147 | − | 0.0536991i | −0.789064 | − | 0.614311i | \(-0.789434\pi\) |
0.828079 | + | 0.560612i | \(0.189434\pi\) | |||||||
\(240\) | −1.70818 | + | 3.83665i | −0.110263 | + | 0.247654i | ||||
\(241\) | 8.93771 | + | 9.92633i | 0.575728 | + | 0.639411i | 0.958724 | − | 0.284339i | \(-0.0917742\pi\) |
−0.382995 | + | 0.923750i | \(0.625108\pi\) | |||||||
\(242\) | −6.94543 | − | 7.71369i | −0.446469 | − | 0.495854i | ||||
\(243\) | −7.49142 | + | 4.32517i | −0.480575 | + | 0.277460i | ||||
\(244\) | −39.8413 | + | 28.9464i | −2.55058 | + | 1.85310i | ||||
\(245\) | 3.32981 | − | 21.4510i | 0.212734 | − | 1.37045i | ||||
\(246\) | −6.23508 | − | 20.9155i | −0.397534 | − | 1.33352i | ||||
\(247\) | 0.535399 | + | 0.927339i | 0.0340666 | + | 0.0590052i | ||||
\(248\) | −1.32890 | − | 12.6436i | −0.0843851 | − | 0.802871i | ||||
\(249\) | −2.36353 | − | 1.36459i | −0.149783 | − | 0.0864772i | ||||
\(250\) | 2.70824 | − | 0.575655i | 0.171284 | − | 0.0364076i | ||||
\(251\) | 5.90529 | − | 18.1746i | 0.372739 | − | 1.14717i | −0.572253 | − | 0.820077i | \(-0.693930\pi\) |
0.944992 | − | 0.327094i | \(-0.106070\pi\) | |||||||
\(252\) | −2.23654 | − | 7.50794i | −0.140889 | − | 0.472956i | ||||
\(253\) | 8.08524 | − | 11.1284i | 0.508315 | − | 0.699635i | ||||
\(254\) | −4.28499 | + | 4.75897i | −0.268864 | + | 0.298604i | ||||
\(255\) | −9.48704 | + | 16.4320i | −0.594101 | + | 1.02901i | ||||
\(256\) | 21.0342 | + | 4.47095i | 1.31464 | + | 0.279435i | ||||
\(257\) | 3.71533 | + | 3.34530i | 0.231756 | + | 0.208674i | 0.776824 | − | 0.629718i | \(-0.216829\pi\) |
−0.545068 | + | 0.838392i | \(0.683496\pi\) | |||||||
\(258\) | −3.12725 | − | 1.01610i | −0.194694 | − | 0.0632598i | ||||
\(259\) | 0.502923 | − | 0.531608i | 0.0312501 | − | 0.0330325i | ||||
\(260\) | 3.93067i | 0.243770i | ||||||||
\(261\) | 0.960769 | + | 4.52007i | 0.0594701 | + | 0.279785i | ||||
\(262\) | 38.8211 | − | 17.2843i | 2.39838 | − | 1.06783i | ||||
\(263\) | 6.28170 | − | 29.5531i | 0.387346 | − | 1.82232i | −0.162079 | − | 0.986778i | \(-0.551820\pi\) |
0.549425 | − | 0.835543i | \(-0.314847\pi\) | |||||||
\(264\) | 11.4286 | + | 5.08834i | 0.703382 | + | 0.313166i | ||||
\(265\) | −11.0458 | + | 15.2033i | −0.678539 | + | 0.933929i | ||||
\(266\) | −17.8377 | + | 1.43151i | −1.09370 | + | 0.0877713i | ||||
\(267\) | 0.901111 | + | 0.654696i | 0.0551471 | + | 0.0400667i | ||||
\(268\) | 20.0089 | + | 2.10302i | 1.22224 | + | 0.128462i | ||||
\(269\) | 2.51918 | + | 23.9684i | 0.153597 | + | 1.46138i | 0.751458 | + | 0.659781i | \(0.229351\pi\) |
−0.597861 | + | 0.801600i | \(0.703982\pi\) | |||||||
\(270\) | −8.48774 | + | 39.9317i | −0.516547 | + | 2.43016i | ||||
\(271\) | 1.60476 | − | 15.2683i | 0.0974823 | − | 0.927482i | −0.831042 | − | 0.556210i | \(-0.812255\pi\) |
0.928524 | − | 0.371272i | \(-0.121078\pi\) | |||||||
\(272\) | −3.68614 | − | 1.19770i | −0.223505 | − | 0.0726212i | ||||
\(273\) | 0.928884 | + | 1.08420i | 0.0562186 | + | 0.0656186i | ||||
\(274\) | 23.1580 | + | 31.8743i | 1.39903 | + | 1.92560i | ||||
\(275\) | 2.45626 | + | 11.5558i | 0.148118 | + | 0.696840i | ||||
\(276\) | 5.61249 | − | 26.4047i | 0.337832 | − | 1.58937i | ||||
\(277\) | 17.7272 | + | 3.76803i | 1.06512 | + | 0.226399i | 0.706955 | − | 0.707259i | \(-0.250068\pi\) |
0.358167 | + | 0.933657i | \(0.383402\pi\) | |||||||
\(278\) | −9.61873 | − | 16.6601i | −0.576893 | − | 0.999208i | ||||
\(279\) | −1.01294 | − | 3.11751i | −0.0606432 | − | 0.186641i | ||||
\(280\) | −24.7808 | − | 11.7730i | −1.48094 | − | 0.703573i | ||||
\(281\) | 10.0867 | + | 13.8831i | 0.601721 | + | 0.828198i | 0.995864 | − | 0.0908511i | \(-0.0289587\pi\) |
−0.394144 | + | 0.919049i | \(0.628959\pi\) | |||||||
\(282\) | −34.6815 | + | 7.37179i | −2.06525 | + | 0.438983i | ||||
\(283\) | −8.86609 | − | 9.84679i | −0.527034 | − | 0.585331i | 0.419572 | − | 0.907722i | \(-0.362180\pi\) |
−0.946607 | + | 0.322391i | \(0.895513\pi\) | |||||||
\(284\) | −46.3783 | − | 26.7765i | −2.75205 | − | 1.58889i | ||||
\(285\) | 12.0184 | + | 5.35096i | 0.711911 | + | 0.316963i | ||||
\(286\) | 2.20144 | 0.130174 | ||||||||
\(287\) | 16.3493 | − | 4.43835i | 0.965071 | − | 0.261987i | ||||
\(288\) | 3.90420 | 0.230057 | ||||||||
\(289\) | −0.466590 | − | 0.207739i | −0.0274465 | − | 0.0122200i | ||||
\(290\) | 33.5568 | + | 19.3741i | 1.97053 | + | 1.13768i | ||||
\(291\) | −12.3359 | − | 13.7004i | −0.723143 | − | 0.803131i | ||||
\(292\) | 3.40684 | − | 0.724147i | 0.199370 | − | 0.0423775i | ||||
\(293\) | −16.3143 | − | 22.4547i | −0.953093 | − | 1.31182i | −0.950140 | − | 0.311825i | \(-0.899060\pi\) |
−0.00295372 | − | 0.999996i | \(-0.500940\pi\) | |||||||
\(294\) | −23.0274 | + | 6.24625i | −1.34298 | + | 0.364289i | ||||
\(295\) | 3.57398 | + | 10.9996i | 0.208085 | + | 0.640420i | ||||
\(296\) | −0.462441 | − | 0.800972i | −0.0268789 | − | 0.0465555i | ||||
\(297\) | 14.1337 | + | 3.00422i | 0.820122 | + | 0.174322i | ||||
\(298\) | 6.80017 | − | 31.9923i | 0.393923 | − | 1.85326i | ||||
\(299\) | −0.412493 | − | 1.94063i | −0.0238551 | − | 0.112229i | ||||
\(300\) | 13.6275 | + | 18.7566i | 0.786784 | + | 1.08292i | ||||
\(301\) | 0.848288 | − | 2.40727i | 0.0488945 | − | 0.138753i | ||||
\(302\) | 40.9186 | + | 13.2953i | 2.35460 | + | 0.765056i | ||||
\(303\) | 0.136414 | − | 1.29790i | 0.00783681 | − | 0.0745622i | ||||
\(304\) | −0.558730 | + | 2.62862i | −0.0320454 | + | 0.150762i | ||||
\(305\) | 4.64817 | + | 44.2244i | 0.266153 | + | 2.53228i | ||||
\(306\) | −8.36425 | − | 0.879118i | −0.478152 | − | 0.0502558i | ||||
\(307\) | −24.8975 | − | 18.0891i | −1.42097 | − | 1.03240i | −0.991610 | − | 0.129266i | \(-0.958738\pi\) |
−0.429364 | − | 0.903132i | \(-0.641262\pi\) | |||||||
\(308\) | −9.97726 | + | 21.0009i | −0.568507 | + | 1.19664i | ||||
\(309\) | 14.0081 | − | 19.2805i | 0.796894 | − | 1.09683i | ||||
\(310\) | −25.1097 | − | 11.1796i | −1.42614 | − | 0.634957i | ||||
\(311\) | 4.83187 | − | 22.7322i | 0.273990 | − | 1.28902i | −0.598789 | − | 0.800907i | \(-0.704351\pi\) |
0.872779 | − | 0.488116i | \(-0.162316\pi\) | |||||||
\(312\) | 1.64838 | − | 0.733905i | 0.0933209 | − | 0.0415492i | ||||
\(313\) | −0.0469759 | − | 0.221004i | −0.00265523 | − | 0.0124919i | 0.976800 | − | 0.214153i | \(-0.0686992\pi\) |
−0.979455 | + | 0.201662i | \(0.935366\pi\) | |||||||
\(314\) | − | 8.09998i | − | 0.457108i | ||||||
\(315\) | −6.88090 | − | 1.64075i | −0.387695 | − | 0.0924461i | ||||
\(316\) | −49.7151 | − | 16.1534i | −2.79670 | − | 0.908701i | ||||
\(317\) | 17.0750 | + | 15.3744i | 0.959025 | + | 0.863510i | 0.990711 | − | 0.135988i | \(-0.0434208\pi\) |
−0.0316853 | + | 0.999498i | \(0.510087\pi\) | |||||||
\(318\) | 20.2035 | + | 4.29439i | 1.13296 | + | 0.240817i | ||||
\(319\) | 6.85741 | − | 11.8774i | 0.383941 | − | 0.665005i | ||||
\(320\) | 25.7494 | − | 28.5976i | 1.43943 | − | 1.59865i | ||||
\(321\) | 14.0255 | − | 19.3044i | 0.782826 | − | 1.07747i | ||||
\(322\) | 32.2519 | + | 7.69048i | 1.79733 | + | 0.428574i | ||||
\(323\) | −3.75184 | + | 11.5470i | −0.208758 | + | 0.642491i | ||||
\(324\) | 19.0482 | − | 4.04882i | 1.05823 | − | 0.224934i | ||||
\(325\) | 1.47567 | + | 0.851979i | 0.0818555 | + | 0.0472593i | ||||
\(326\) | −2.07319 | − | 19.7251i | −0.114824 | − | 1.09247i | ||||
\(327\) | −4.79943 | − | 8.31286i | −0.265409 | − | 0.459702i | ||||
\(328\) | 0.523196 | − | 21.4044i | 0.0288887 | − | 1.18186i | ||||
\(329\) | −5.05715 | − | 27.0534i | −0.278810 | − | 1.49150i | ||||
\(330\) | 21.8814 | − | 15.8978i | 1.20453 | − | 0.875144i | ||||
\(331\) | 9.86908 | − | 5.69791i | 0.542454 | − | 0.313186i | −0.203619 | − | 0.979050i | \(-0.565270\pi\) |
0.746073 | + | 0.665864i | \(0.231937\pi\) | |||||||
\(332\) | −4.28946 | − | 4.76393i | −0.235415 | − | 0.261455i | ||||
\(333\) | −0.159567 | − | 0.177217i | −0.00874420 | − | 0.00971142i | ||||
\(334\) | −5.73683 | + | 12.8851i | −0.313905 | + | 0.705043i | ||||
\(335\) | 10.6782 | − | 14.6973i | 0.583413 | − | 0.803000i | ||||
\(336\) | −0.0882763 | + | 3.58194i | −0.00481586 | + | 0.195411i | ||||
\(337\) | 14.7546 | 0.803732 | 0.401866 | − | 0.915698i | \(-0.368362\pi\) | ||||
0.401866 | + | 0.915698i | \(0.368362\pi\) | |||||||
\(338\) | −20.0657 | + | 22.2853i | −1.09143 | + | 1.21216i | ||||
\(339\) | −5.40487 | + | 25.4279i | −0.293552 | + | 1.38105i | ||||
\(340\) | −33.1203 | + | 29.8217i | −1.79620 | + | 1.61731i | ||||
\(341\) | −3.95699 | + | 8.88754i | −0.214283 | + | 0.481288i | ||||
\(342\) | 5.83136i | 0.315324i | ||||||||
\(343\) | −4.40663 | − | 17.9884i | −0.237936 | − | 0.971281i | ||||
\(344\) | −2.60970 | − | 1.89606i | −0.140705 | − | 0.102228i | ||||
\(345\) | −18.1143 | − | 16.3102i | −0.975241 | − | 0.878111i | ||||
\(346\) | −1.41164 | − | 13.4309i | −0.0758904 | − | 0.722049i | ||||
\(347\) | 6.36977 | + | 14.3067i | 0.341947 | + | 0.768026i | 0.999888 | + | 0.0149562i | \(0.00476089\pi\) |
−0.657941 | + | 0.753069i | \(0.728572\pi\) | |||||||
\(348\) | 2.81337 | − | 26.7674i | 0.150812 | − | 1.43488i | ||||
\(349\) | 7.66361 | + | 5.56794i | 0.410224 | + | 0.298045i | 0.773692 | − | 0.633561i | \(-0.218408\pi\) |
−0.363469 | + | 0.931606i | \(0.618408\pi\) | |||||||
\(350\) | −23.4433 | + | 16.1653i | −1.25310 | + | 0.864073i | ||||
\(351\) | 1.68606 | − | 1.22500i | 0.0899953 | − | 0.0653854i | ||||
\(352\) | −8.61102 | − | 7.75340i | −0.458969 | − | 0.413257i | ||||
\(353\) | 14.3900 | − | 6.40683i | 0.765901 | − | 0.341001i | 0.0136750 | − | 0.999906i | \(-0.495647\pi\) |
0.752226 | + | 0.658906i | \(0.228980\pi\) | |||||||
\(354\) | 9.44684 | − | 8.50597i | 0.502094 | − | 0.452087i | ||||
\(355\) | −41.8780 | + | 24.1783i | −2.22265 | + | 1.28325i | ||||
\(356\) | 1.53780 | + | 2.11660i | 0.0815032 | + | 0.112180i | ||||
\(357\) | −2.08822 | + | 16.0526i | −0.110520 | + | 0.849594i | ||||
\(358\) | −15.6891 | + | 5.09769i | −0.829193 | + | 0.269421i | ||||
\(359\) | 6.24901 | − | 6.94023i | 0.329810 | − | 0.366292i | −0.555318 | − | 0.831638i | \(-0.687404\pi\) |
0.885129 | + | 0.465346i | \(0.154070\pi\) | |||||||
\(360\) | −4.47008 | + | 7.74240i | −0.235594 | + | 0.408060i | ||||
\(361\) | −10.3506 | − | 2.20008i | −0.544766 | − | 0.115794i | ||||
\(362\) | 15.6682 | + | 1.64679i | 0.823501 | + | 0.0865534i | ||||
\(363\) | 3.82666 | + | 5.26695i | 0.200848 | + | 0.276443i | ||||
\(364\) | 1.28809 | + | 3.09623i | 0.0675143 | + | 0.162287i | ||||
\(365\) | 0.971855 | − | 2.99106i | 0.0508692 | − | 0.156559i | ||||
\(366\) | 42.3274 | − | 24.4377i | 2.21249 | − | 1.27738i | ||||
\(367\) | 0.216314 | + | 2.05809i | 0.0112915 | + | 0.107432i | 0.998716 | − | 0.0506601i | \(-0.0161325\pi\) |
−0.987424 | + | 0.158092i | \(0.949466\pi\) | |||||||
\(368\) | 2.48956 | − | 4.31205i | 0.129777 | − | 0.224781i | ||||
\(369\) | −1.01548 | − | 5.42628i | −0.0528637 | − | 0.282481i | ||||
\(370\) | −1.99959 | −0.103954 | ||||||||
\(371\) | −3.71876 | + | 15.5955i | −0.193068 | + | 0.809679i | ||||
\(372\) | 19.0921i | 0.989880i | ||||||||
\(373\) | 3.41015 | − | 0.724850i | 0.176571 | − | 0.0375313i | −0.118778 | − | 0.992921i | \(-0.537898\pi\) |
0.295349 | + | 0.955390i | \(0.404564\pi\) | |||||||
\(374\) | 16.7022 | + | 18.5496i | 0.863649 | + | 0.959179i | ||||
\(375\) | −1.72707 | + | 0.181523i | −0.0891857 | + | 0.00937379i | ||||
\(376\) | −34.5927 | − | 3.63584i | −1.78398 | − | 0.187504i | ||||
\(377\) | −0.611274 | − | 1.88131i | −0.0314822 | − | 0.0968922i | ||||
\(378\) | 6.39983 | + | 34.2360i | 0.329172 | + | 1.76091i | ||||
\(379\) | 3.48994 | + | 10.7409i | 0.179266 | + | 0.551725i | 0.999803 | − | 0.0198697i | \(-0.00632513\pi\) |
−0.820536 | + | 0.571594i | \(0.806325\pi\) | |||||||
\(380\) | 22.9642 | + | 20.6771i | 1.17804 | + | 1.06071i | ||||
\(381\) | 2.98487 | − | 2.68759i | 0.152920 | − | 0.137690i | ||||
\(382\) | −56.3085 | + | 5.91826i | −2.88099 | + | 0.302805i | ||||
\(383\) | 11.7824 | − | 6.80260i | 0.602055 | − | 0.347597i | −0.167795 | − | 0.985822i | \(-0.553665\pi\) |
0.769850 | + | 0.638225i | \(0.220331\pi\) | |||||||
\(384\) | −27.6317 | − | 8.97808i | −1.41007 | − | 0.458160i | ||||
\(385\) | 11.9180 | + | 17.2837i | 0.607397 | + | 0.880859i | ||||
\(386\) | 9.21890 | − | 2.99540i | 0.469229 | − | 0.152462i | ||||
\(387\) | −0.759814 | − | 0.338291i | −0.0386235 | − | 0.0171963i | ||||
\(388\) | −17.6130 | − | 39.5594i | −0.894165 | − | 2.00833i | ||||
\(389\) | 21.1355 | − | 9.41015i | 1.07161 | − | 0.477113i | 0.206375 | − | 0.978473i | \(-0.433833\pi\) |
0.865239 | + | 0.501360i | \(0.167167\pi\) | |||||||
\(390\) | 0.407771 | − | 3.87968i | 0.0206483 | − | 0.196455i | ||||
\(391\) | 13.2224 | − | 18.1991i | 0.668686 | − | 0.920367i | ||||
\(392\) | −23.3782 | − | 1.15300i | −1.18078 | − | 0.0582353i | ||||
\(393\) | −25.3488 | + | 8.23633i | −1.27868 | + | 0.415468i | ||||
\(394\) | −4.28155 | + | 40.7362i | −0.215701 | + | 2.05226i | ||||
\(395\) | −35.0774 | + | 31.5838i | −1.76493 | + | 1.58915i | ||||
\(396\) | 6.56143 | + | 3.78825i | 0.329725 | + | 0.190367i | ||||
\(397\) | 4.69388 | − | 10.5426i | 0.235579 | − | 0.529119i | −0.756609 | − | 0.653867i | \(-0.773146\pi\) |
0.992188 | + | 0.124748i | \(0.0398122\pi\) | |||||||
\(398\) | 31.6432 | + | 10.2815i | 1.58613 | + | 0.515365i | ||||
\(399\) | 11.2206 | + | 0.276529i | 0.561732 | + | 0.0138438i | ||||
\(400\) | 1.32147 | + | 4.06706i | 0.0660734 | + | 0.203353i | ||||
\(401\) | 5.46363 | + | 9.46328i | 0.272841 | + | 0.472574i | 0.969588 | − | 0.244743i | \(-0.0787035\pi\) |
−0.696747 | + | 0.717317i | \(0.745370\pi\) | |||||||
\(402\) | −19.5312 | − | 4.15147i | −0.974125 | − | 0.207057i | ||||
\(403\) | 0.570727 | + | 1.28187i | 0.0284299 | + | 0.0638547i | ||||
\(404\) | 1.24681 | − | 2.80038i | 0.0620310 | − | 0.139324i | ||||
\(405\) | 5.43379 | − | 16.7235i | 0.270007 | − | 0.830997i | ||||
\(406\) | 32.7820 | + | 4.26448i | 1.62694 | + | 0.211643i | ||||
\(407\) | 0.707752i | 0.0350820i | ||||||||
\(408\) | 18.6901 | + | 8.32135i | 0.925296 | + | 0.411968i | ||||
\(409\) | 6.28694 | − | 10.8893i | 0.310869 | − | 0.538441i | −0.667682 | − | 0.744447i | \(-0.732713\pi\) |
0.978551 | + | 0.206006i | \(0.0660466\pi\) | |||||||
\(410\) | −39.5108 | − | 24.1177i | −1.95130 | − | 1.19109i | ||||
\(411\) | −12.3557 | − | 21.4006i | −0.609460 | − | 1.05562i | ||||
\(412\) | 45.2876 | − | 32.9033i | 2.23116 | − | 1.62103i | ||||
\(413\) | 6.41986 | + | 7.49328i | 0.315900 | + | 0.368720i | ||||
\(414\) | 3.33874 | − | 10.2756i | 0.164090 | − | 0.505017i | ||||
\(415\) | −5.66197 | + | 1.20349i | −0.277935 | + | 0.0590770i | ||||
\(416\) | −1.66211 | + | 0.174694i | −0.0814915 | + | 0.00856510i | ||||
\(417\) | 4.90765 | + | 11.0228i | 0.240329 | + | 0.539787i | ||||
\(418\) | 11.5806 | − | 12.8615i | 0.566425 | − | 0.629079i | ||||
\(419\) | 10.4212 | 0.509107 | 0.254553 | − | 0.967059i | \(-0.418072\pi\) | ||||
0.254553 | + | 0.967059i | \(0.418072\pi\) | |||||||
\(420\) | 35.1626 | + | 21.4732i | 1.71576 | + | 1.04779i | ||||
\(421\) | −29.2020 | + | 9.48831i | −1.42322 | + | 0.462432i | −0.916623 | − | 0.399752i | \(-0.869096\pi\) |
−0.506596 | + | 0.862184i | \(0.669096\pi\) | |||||||
\(422\) | −5.43505 | − | 25.5699i | −0.264574 | − | 1.24472i | ||||
\(423\) | −8.91928 | + | 0.937454i | −0.433670 | + | 0.0455806i | ||||
\(424\) | 17.5481 | + | 10.1314i | 0.852211 | + | 0.492024i | ||||
\(425\) | 4.01691 | + | 18.8981i | 0.194849 | + | 0.916691i | ||||
\(426\) | 42.9988 | + | 31.2405i | 2.08330 | + | 1.51361i | ||||
\(427\) | 18.1539 | + | 33.3128i | 0.878527 | + | 1.61212i | ||||
\(428\) | 45.3437 | − | 32.9441i | 2.19177 | − | 1.59241i | ||||
\(429\) | −1.37320 | − | 0.144330i | −0.0662989 | − | 0.00696830i | ||||
\(430\) | −6.37115 | + | 2.83662i | −0.307244 | + | 0.136794i | ||||
\(431\) | −21.7402 | + | 9.67935i | −1.04719 | + | 0.466238i | −0.856896 | − | 0.515490i | \(-0.827610\pi\) |
−0.190292 | + | 0.981728i | \(0.560943\pi\) | |||||||
\(432\) | 5.20170 | + | 0.546721i | 0.250267 | + | 0.0263041i | ||||
\(433\) | −19.8798 | + | 14.4435i | −0.955361 | + | 0.694111i | −0.952069 | − | 0.305884i | \(-0.901048\pi\) |
−0.00329238 | + | 0.999995i | \(0.501048\pi\) | |||||||
\(434\) | −23.4428 | − | 0.577743i | −1.12529 | − | 0.0277325i | ||||
\(435\) | −19.6617 | − | 14.2851i | −0.942707 | − | 0.684916i | ||||
\(436\) | −4.68769 | − | 22.0539i | −0.224500 | − | 1.05619i | ||||
\(437\) | −13.5077 | − | 7.79865i | −0.646159 | − | 0.373060i | ||||
\(438\) | −3.43777 | + | 0.361324i | −0.164263 | + | 0.0172647i | ||||
\(439\) | 3.47337 | + | 16.3409i | 0.165775 | + | 0.779910i | 0.979943 | + | 0.199280i | \(0.0638603\pi\) |
−0.814168 | + | 0.580630i | \(0.802806\pi\) | |||||||
\(440\) | 25.2349 | − | 8.19930i | 1.20302 | − | 0.390887i | ||||
\(441\) | −5.95784 | + | 0.962451i | −0.283707 | + | 0.0458310i | ||||
\(442\) | 3.60019 | 0.171244 | ||||||||
\(443\) | −2.11361 | + | 2.34740i | −0.100421 | + | 0.111528i | −0.791260 | − | 0.611480i | \(-0.790575\pi\) |
0.690839 | + | 0.723008i | \(0.257241\pi\) | |||||||
\(444\) | 0.564933 | + | 1.26886i | 0.0268105 | + | 0.0602174i | ||||
\(445\) | 2.34945 | − | 0.246938i | 0.111375 | − | 0.0117060i | ||||
\(446\) | 48.1022 | − | 10.2244i | 2.27771 | − | 0.484141i | ||||
\(447\) | −6.33923 | + | 19.5101i | −0.299835 | + | 0.922798i | ||||
\(448\) | 10.9116 | − | 30.9648i | 0.515523 | − | 1.46295i | ||||
\(449\) | 6.83304 | − | 4.96450i | 0.322471 | − | 0.234289i | −0.414758 | − | 0.909932i | \(-0.636134\pi\) |
0.737229 | + | 0.675643i | \(0.236134\pi\) | |||||||
\(450\) | 4.63971 | + | 8.03621i | 0.218718 | + | 0.378831i | ||||
\(451\) | −8.53641 | + | 13.9848i | −0.401964 | + | 0.658516i | ||||
\(452\) | −30.5307 | + | 52.8807i | −1.43604 | + | 2.48730i | ||||
\(453\) | −24.6523 | − | 10.9759i | −1.15827 | − | 0.515693i | ||||
\(454\) | − | 39.6098i | − | 1.85898i | ||||||
\(455\) | 3.00278 | + | 0.390619i | 0.140772 | + | 0.0183125i | ||||
\(456\) | 4.38349 | − | 13.4910i | 0.205276 | − | 0.631774i | ||||
\(457\) | −11.6967 | + | 26.2712i | −0.547148 | + | 1.22892i | 0.402449 | + | 0.915442i | \(0.368159\pi\) |
−0.949597 | + | 0.313473i | \(0.898508\pi\) | |||||||
\(458\) | −11.9897 | − | 26.9294i | −0.560244 | − | 1.25833i | ||||
\(459\) | 23.1140 | + | 4.91303i | 1.07887 | + | 0.229320i | ||||
\(460\) | −28.6272 | − | 49.5837i | −1.33475 | − | 2.31185i | ||||
\(461\) | −3.52523 | − | 10.8495i | −0.164186 | − | 0.505313i | 0.834789 | − | 0.550570i | \(-0.185590\pi\) |
−0.998975 | + | 0.0452565i | \(0.985590\pi\) | |||||||
\(462\) | 12.0265 | − | 19.6935i | 0.559523 | − | 0.916222i | ||||
\(463\) | −9.58699 | − | 3.11500i | −0.445545 | − | 0.144766i | 0.0776473 | − | 0.996981i | \(-0.475259\pi\) |
−0.523193 | + | 0.852214i | \(0.675259\pi\) | |||||||
\(464\) | 2.01921 | − | 4.53522i | 0.0937396 | − | 0.210543i | ||||
\(465\) | 14.9299 | + | 8.61976i | 0.692356 | + | 0.399732i | ||||
\(466\) | 17.0498 | − | 15.3517i | 0.789815 | − | 0.711153i | ||||
\(467\) | 2.80277 | − | 26.6666i | 0.129697 | − | 1.23398i | −0.715149 | − | 0.698972i | \(-0.753641\pi\) |
0.844846 | − | 0.535010i | \(-0.179692\pi\) | |||||||
\(468\) | 1.03929 | − | 0.337687i | 0.0480413 | − | 0.0156096i | ||||
\(469\) | 3.59500 | − | 15.0765i | 0.166002 | − | 0.696168i | ||||
\(470\) | −44.2022 | + | 60.8392i | −2.03890 | + | 2.80630i | ||||
\(471\) | −0.531045 | + | 5.05256i | −0.0244693 | + | 0.232810i | ||||
\(472\) | 11.3925 | − | 5.07228i | 0.524384 | − | 0.233471i | ||||
\(473\) | 1.00401 | + | 2.25505i | 0.0461647 | + | 0.103688i | ||||
\(474\) | 47.3944 | + | 21.1014i | 2.17690 | + | 0.969217i | ||||
\(475\) | 12.7402 | − | 4.13955i | 0.584561 | − | 0.189936i | ||||
\(476\) | −16.3166 | + | 34.3445i | −0.747869 | + | 1.57418i | ||||
\(477\) | 4.96879 | + | 1.61446i | 0.227505 | + | 0.0739209i | ||||
\(478\) | −2.07164 | + | 1.19606i | −0.0947546 | + | 0.0547066i | ||||
\(479\) | −9.67822 | + | 1.01722i | −0.442209 | + | 0.0464780i | −0.323017 | − | 0.946393i | \(-0.604697\pi\) |
−0.119192 | + | 0.992871i | \(0.538030\pi\) | |||||||
\(480\) | −15.2591 | + | 13.7393i | −0.696478 | + | 0.627112i | ||||
\(481\) | 0.0758609 | + | 0.0683055i | 0.00345896 | + | 0.00311446i | ||||
\(482\) | −9.62216 | − | 29.6140i | −0.438277 | − | 1.34888i | ||||
\(483\) | −19.6137 | − | 6.91160i | −0.892455 | − | 0.314489i | ||||
\(484\) | 4.72546 | + | 14.5435i | 0.214794 | + | 0.661067i | ||||
\(485\) | −38.8871 | − | 4.08720i | −1.76577 | − | 0.185590i | ||||
\(486\) | 20.0550 | − | 2.10787i | 0.909714 | − | 0.0956148i | ||||
\(487\) | 11.3852 | + | 12.6446i | 0.515914 | + | 0.572981i | 0.943659 | − | 0.330919i | \(-0.107359\pi\) |
−0.427745 | + | 0.903899i | \(0.640692\pi\) | |||||||
\(488\) | 46.8999 | − | 9.96888i | 2.12306 | − | 0.451270i | ||||
\(489\) | 12.4399i | 0.562554i | ||||||||
\(490\) | −27.4306 | + | 42.5256i | −1.23919 | + | 1.92111i | ||||
\(491\) | −7.21366 | −0.325548 | −0.162774 | − | 0.986663i | \(-0.552044\pi\) | ||||
−0.162774 | + | 0.986663i | \(0.552044\pi\) | |||||||
\(492\) | −4.14136 | + | 31.8857i | −0.186707 | + | 1.43752i | ||||
\(493\) | 11.2144 | − | 19.4240i | 0.505073 | − | 0.874812i | ||||
\(494\) | −0.260926 | − | 2.48255i | −0.0117396 | − | 0.111695i | ||||
\(495\) | 5.92475 | − | 3.42066i | 0.266298 | − | 0.153747i | ||||
\(496\) | −1.08821 | + | 3.34917i | −0.0488621 | + | 0.150382i | ||||
\(497\) | −25.0645 | + | 32.7690i | −1.12430 | + | 1.46989i | ||||
\(498\) | 3.73960 | + | 5.14712i | 0.167575 | + | 0.230648i | ||||
\(499\) | 6.85952 | + | 0.720964i | 0.307074 | + | 0.0322748i | 0.256812 | − | 0.966461i | \(-0.417328\pi\) |
0.0502618 | + | 0.998736i | \(0.483994\pi\) | |||||||
\(500\) | −3.98989 | − | 0.848078i | −0.178433 | − | 0.0379272i | ||||
\(501\) | 4.42325 | − | 7.66130i | 0.197616 | − | 0.342282i | ||||
\(502\) | −29.8088 | + | 33.1061i | −1.33043 | + | 1.47760i | ||||
\(503\) | 7.14499 | − | 2.32155i | 0.318579 | − | 0.103513i | −0.145362 | − | 0.989378i | \(-0.546435\pi\) |
0.463942 | + | 0.885866i | \(0.346435\pi\) | |||||||
\(504\) | −0.983922 | + | 7.56363i | −0.0438274 | + | 0.336911i | ||||
\(505\) | −1.62696 | − | 2.23932i | −0.0723987 | − | 0.0996483i | ||||
\(506\) | −27.7703 | + | 16.0332i | −1.23454 | + | 0.712761i | ||||
\(507\) | 13.9775 | − | 12.5854i | 0.620764 | − | 0.558939i | ||||
\(508\) | 8.61873 | − | 3.83730i | 0.382394 | − | 0.170253i | ||||
\(509\) | −3.36500 | − | 3.02986i | −0.149151 | − | 0.134296i | 0.591177 | − | 0.806542i | \(-0.298663\pi\) |
−0.740328 | + | 0.672245i | \(0.765330\pi\) | |||||||
\(510\) | 35.7844 | − | 25.9989i | 1.58456 | − | 1.15125i | ||||
\(511\) | −0.214639 | − | 2.67457i | −0.00949505 | − | 0.118316i | ||||
\(512\) | −8.40445 | − | 6.10619i | −0.371428 | − | 0.269858i | ||||
\(513\) | 1.71262 | − | 16.2945i | 0.0756142 | − | 0.719421i | ||||
\(514\) | −4.74037 | − | 10.6470i | −0.209089 | − | 0.469621i | ||||
\(515\) | −5.28357 | − | 50.2698i | −0.232822 | − | 2.21515i | ||||
\(516\) | 3.60000 | + | 3.24146i | 0.158481 | + | 0.142697i | ||||
\(517\) | 21.5339 | + | 15.6453i | 0.947060 | + | 0.688079i | ||||
\(518\) | −1.57510 | + | 0.655272i | −0.0692060 | + | 0.0287910i | ||||
\(519\) | 8.47039i | 0.371809i | ||||||||
\(520\) | 1.55658 | − | 3.49614i | 0.0682605 | − | 0.153316i | ||||
\(521\) | 10.9061 | − | 9.81991i | 0.477806 | − | 0.430218i | −0.394709 | − | 0.918806i | \(-0.629155\pi\) |
0.872515 | + | 0.488588i | \(0.162488\pi\) | |||||||
\(522\) | 2.23972 | − | 10.5371i | 0.0980300 | − | 0.461195i | ||||
\(523\) | 10.8522 | − | 12.0526i | 0.474533 | − | 0.527022i | −0.457590 | − | 0.889163i | \(-0.651287\pi\) |
0.932123 | + | 0.362141i | \(0.117954\pi\) | |||||||
\(524\) | −62.6054 | −2.73493 | ||||||||
\(525\) | 15.6831 | − | 8.54654i | 0.684468 | − | 0.373002i | ||||
\(526\) | −41.3992 | + | 56.9811i | −1.80509 | + | 2.48450i | ||||
\(527\) | −6.47117 | + | 14.5345i | −0.281889 | + | 0.633132i | ||||
\(528\) | −2.31871 | − | 2.57519i | −0.100909 | − | 0.112071i | ||||
\(529\) | 3.94704 | + | 4.38363i | 0.171611 | + | 0.190593i | ||||
\(530\) | 37.9389 | − | 21.9040i | 1.64796 | − | 0.951451i | ||||
\(531\) | 2.60131 | − | 1.88996i | 0.112887 | − | 0.0820175i | ||||
\(532\) | 24.8651 | + | 8.76212i | 1.07804 | + | 0.379886i | ||||
\(533\) | 0.675113 | + | 2.26466i | 0.0292424 | + | 0.0980931i | ||||
\(534\) | −1.29827 | − | 2.24867i | −0.0561817 | − | 0.0973096i | ||||
\(535\) | −5.29012 | − | 50.3321i | −0.228712 | − | 2.17605i | ||||
\(536\) | −16.9641 | − | 9.79423i | −0.732738 | − | 0.423046i | ||||
\(537\) | 10.1206 | − | 2.15121i | 0.436738 | − | 0.0928315i | ||||
\(538\) | 17.3613 | − | 53.4326i | 0.748500 | − | 2.30365i | ||||
\(539\) | 15.0518 | + | 9.70900i | 0.648329 | + | 0.418196i | ||||
\(540\) | 35.3513 | − | 48.6569i | 1.52128 | − | 2.09386i | ||||
\(541\) | 6.62476 | − | 7.35754i | 0.284821 | − | 0.316325i | −0.583709 | − | 0.811963i | \(-0.698399\pi\) |
0.868529 | + | 0.495638i | \(0.165066\pi\) | |||||||
\(542\) | −17.8946 | + | 30.9943i | −0.768637 | + | 1.33132i | ||||
\(543\) | −9.66543 | − | 2.05445i | −0.414783 | − | 0.0881649i | ||||
\(544\) | −14.0823 | − | 12.6797i | −0.603772 | − | 0.543639i | ||||
\(545\) | −19.3623 | − | 6.29121i | −0.829392 | − | 0.269486i | ||||
\(546\) | −0.950175 | − | 3.18969i | −0.0406638 | − | 0.136506i | ||||
\(547\) | − | 7.56447i | − | 0.323433i | −0.986837 | − | 0.161717i | \(-0.948297\pi\) | ||
0.986837 | − | 0.161717i | \(-0.0517031\pi\) | |||||||
\(548\) | −12.0680 | − | 56.7755i | −0.515520 | − | 2.42533i | ||||
\(549\) | 11.2939 | − | 5.02835i | 0.482010 | − | 0.214605i | ||||
\(550\) | 5.72597 | − | 26.9386i | 0.244156 | − | 1.14867i | ||||
\(551\) | −14.2068 | − | 6.32526i | −0.605229 | − | 0.269465i | ||||
\(552\) | −15.4485 | + | 21.2630i | −0.657532 | + | 0.905015i | ||||
\(553\) | −17.2807 | + | 36.3739i | −0.734851 | + | 1.54677i | ||||
\(554\) | −34.1797 | − | 24.8330i | −1.45215 | − | 1.05505i | ||||
\(555\) | 1.24729 | + | 0.131096i | 0.0529447 | + | 0.00556471i | ||||
\(556\) | 2.96248 | + | 28.1861i | 0.125637 | + | 1.19536i | ||||
\(557\) | 7.43070 | − | 34.9587i | 0.314849 | − | 1.48125i | −0.481519 | − | 0.876436i | \(-0.659915\pi\) |
0.796368 | − | 0.604813i | \(-0.206752\pi\) | |||||||
\(558\) | −0.798752 | + | 7.59961i | −0.0338138 | + | 0.321717i | ||||
\(559\) | 0.338608 | + | 0.110020i | 0.0143216 | + | 0.00465336i | ||||
\(560\) | 4.94434 | + | 5.77106i | 0.208937 | + | 0.243872i | ||||
\(561\) | −9.20224 | − | 12.6658i | −0.388519 | − | 0.534751i | ||||
\(562\) | −8.31732 | − | 39.1299i | −0.350845 | − | 1.65060i | ||||
\(563\) | 1.80435 | − | 8.48879i | 0.0760442 | − | 0.357760i | −0.923630 | − | 0.383285i | \(-0.874793\pi\) |
0.999674 | + | 0.0255256i | \(0.00812594\pi\) | |||||||
\(564\) | 51.0942 | + | 10.8604i | 2.15145 | + | 0.457306i | ||||
\(565\) | 27.5682 | + | 47.7495i | 1.15980 | + | 2.00884i | ||||
\(566\) | 9.54506 | + | 29.3767i | 0.401209 | + | 1.23479i | ||||
\(567\) | −1.20008 | − | 14.9539i | −0.0503985 | − | 0.628006i | ||||
\(568\) | 30.6474 | + | 42.1826i | 1.28594 | + | 1.76994i | ||||
\(569\) | 22.8569 | − | 4.85839i | 0.958212 | − | 0.203674i | 0.297842 | − | 0.954615i | \(-0.403733\pi\) |
0.660369 | + | 0.750941i | \(0.270400\pi\) | |||||||
\(570\) | −20.5213 | − | 22.7912i | −0.859541 | − | 0.954617i | ||||
\(571\) | 12.9761 | + | 7.49173i | 0.543031 | + | 0.313519i | 0.746306 | − | 0.665602i | \(-0.231825\pi\) |
−0.203275 | + | 0.979122i | \(0.565159\pi\) | |||||||
\(572\) | −2.96286 | − | 1.31915i | −0.123883 | − | 0.0551565i | ||||
\(573\) | 35.5118 | 1.48353 | ||||||||
\(574\) | −39.0265 | − | 6.04998i | −1.62893 | − | 0.252521i | ||||
\(575\) | −24.8199 | −1.03506 | ||||||||
\(576\) | −9.77352 | − | 4.35145i | −0.407230 | − | 0.181311i | ||||
\(577\) | 6.23396 | + | 3.59918i | 0.259523 | + | 0.149836i | 0.624117 | − | 0.781331i | \(-0.285459\pi\) |
−0.364594 | + | 0.931167i | \(0.618792\pi\) | |||||||
\(578\) | 0.796694 | + | 0.884818i | 0.0331381 | + | 0.0368036i | ||||
\(579\) | −5.94689 | + | 1.26405i | −0.247144 | + | 0.0525322i | ||||
\(580\) | −33.5539 | − | 46.1829i | −1.39325 | − | 1.91764i | ||||
\(581\) | −4.06561 | + | 2.80344i | −0.168670 | + | 0.116306i | ||||
\(582\) | 13.2806 | + | 40.8734i | 0.550498 | + | 1.69426i | ||||
\(583\) | −7.75289 | − | 13.4284i | −0.321092 | − | 0.556148i | ||||
\(584\) | −3.31699 | − | 0.705047i | −0.137258 | − | 0.0291751i | ||||
\(585\) | 0.205155 | − | 0.965178i | 0.00848211 | − | 0.0399052i | ||||
\(586\) | 13.4525 | + | 63.2893i | 0.555720 | + | 2.61446i | ||||
\(587\) | −12.4260 | − | 17.1029i | −0.512875 | − | 0.705912i | 0.471526 | − | 0.881852i | \(-0.343703\pi\) |
−0.984401 | + | 0.175940i | \(0.943703\pi\) | |||||||
\(588\) | 34.7348 | + | 5.39183i | 1.43244 | + | 0.222355i | ||||
\(589\) | 10.4914 | + | 3.40886i | 0.432290 | + | 0.140460i | ||||
\(590\) | 2.81825 | − | 26.8139i | 0.116026 | − | 1.10391i | ||||
\(591\) | 5.34144 | − | 25.1295i | 0.219717 | − | 1.03369i | ||||
\(592\) | 0.0267790 | + | 0.254785i | 0.00110061 | + | 0.0104716i | ||||
\(593\) | 15.1498 | + | 1.59231i | 0.622128 | + | 0.0653883i | 0.410348 | − | 0.911929i | \(-0.365407\pi\) |
0.211780 | + | 0.977317i | \(0.432074\pi\) | |||||||
\(594\) | −27.2512 | − | 19.7991i | −1.11813 | − | 0.812368i | ||||
\(595\) | 19.4904 | + | 28.2654i | 0.799029 | + | 1.15877i | ||||
\(596\) | −28.3226 | + | 38.9827i | −1.16014 | + | 1.59679i | ||||
\(597\) | −19.0642 | − | 8.48791i | −0.780244 | − | 0.347387i | ||||
\(598\) | −0.961594 | + | 4.52394i | −0.0393225 | + | 0.184998i | ||||
\(599\) | 35.3532 | − | 15.7402i | 1.44449 | − | 0.643129i | 0.473185 | − | 0.880963i | \(-0.343104\pi\) |
0.971306 | + | 0.237834i | \(0.0764376\pi\) | |||||||
\(600\) | −4.69319 | − | 22.0797i | −0.191599 | − | 0.901400i | ||||
\(601\) | 42.2072i | 1.72167i | 0.508887 | + | 0.860833i | \(0.330057\pi\) | ||||
−0.508887 | + | 0.860833i | \(0.669943\pi\) | |||||||
\(602\) | −4.08905 | + | 4.32228i | −0.166657 | + | 0.176163i | ||||
\(603\) | −4.80343 | − | 1.56073i | −0.195611 | − | 0.0635578i | ||||
\(604\) | −47.1044 | − | 42.4130i | −1.91665 | − | 1.72576i | ||||
\(605\) | 13.5063 | + | 2.87086i | 0.549111 | + | 0.116717i | ||||
\(606\) | −1.52115 | + | 2.63470i | −0.0617924 | + | 0.107027i | ||||
\(607\) | 25.0483 | − | 27.8189i | 1.01668 | − | 1.12914i | 0.0250921 | − | 0.999685i | \(-0.492012\pi\) |
0.991586 | − | 0.129450i | \(-0.0413213\pi\) | |||||||
\(608\) | −7.72281 | + | 10.6295i | −0.313201 | + | 0.431084i | ||||
\(609\) | −20.1690 | − | 4.80930i | −0.817289 | − | 0.194883i | ||||
\(610\) | 32.0335 | − | 98.5891i | 1.29700 | − | 3.99176i | ||||
\(611\) | 3.75520 | − | 0.798192i | 0.151919 | − | 0.0322914i | ||||
\(612\) | 10.7304 | + | 6.19521i | 0.433751 | + | 0.250426i | ||||
\(613\) | 2.13094 | + | 20.2745i | 0.0860678 | + | 0.818880i | 0.949363 | + | 0.314181i | \(0.101730\pi\) |
−0.863295 | + | 0.504699i | \(0.831603\pi\) | |||||||
\(614\) | 35.8709 | + | 62.1303i | 1.44763 | + | 2.50737i | ||||
\(615\) | 23.0646 | + | 17.6344i | 0.930055 | + | 0.711086i | ||||
\(616\) | 17.1908 | − | 14.7282i | 0.692639 | − | 0.593417i | ||||
\(617\) | 14.4171 | − | 10.4746i | 0.580409 | − | 0.421692i | −0.258463 | − | 0.966021i | \(-0.583216\pi\) |
0.838871 | + | 0.544330i | \(0.183216\pi\) | |||||||
\(618\) | −48.1135 | + | 27.7783i | −1.93541 | + | 1.11741i | ||||
\(619\) | 1.46242 | + | 1.62418i | 0.0587797 | + | 0.0652815i | 0.771818 | − | 0.635844i | \(-0.219348\pi\) |
−0.713038 | + | 0.701126i | \(0.752681\pi\) | |||||||
\(620\) | 27.0955 | + | 30.0926i | 1.08818 | + | 1.20855i | ||||
\(621\) | −12.3473 | + | 27.7324i | −0.495479 | + | 1.11286i | ||||
\(622\) | −31.8442 | + | 43.8298i | −1.27684 | + | 1.75741i | ||||
\(623\) | 1.76977 | − | 0.964438i | 0.0709042 | − | 0.0386394i | ||||
\(624\) | −0.499804 | −0.0200082 | ||||||||
\(625\) | −17.9115 | + | 19.8927i | −0.716459 | + | 0.795708i | ||||
\(626\) | −0.109509 | + | 0.515200i | −0.00437686 | + | 0.0205915i | ||||
\(627\) | −8.06689 | + | 7.26346i | −0.322161 | + | 0.290075i | ||||
\(628\) | −4.85367 | + | 10.9015i | −0.193683 | + | 0.435018i | ||||
\(629\) | 1.15744i | 0.0461502i | ||||||||
\(630\) | 13.0981 | + | 10.0185i | 0.521841 | + | 0.399147i | ||||
\(631\) | 25.4219 | + | 18.4701i | 1.01203 | + | 0.735284i | 0.964634 | − | 0.263592i | \(-0.0849073\pi\) |
0.0473972 | + | 0.998876i | \(0.484907\pi\) | |||||||
\(632\) | 37.8222 | + | 34.0553i | 1.50449 | + | 1.35465i | ||||
\(633\) | 1.71385 | + | 16.3062i | 0.0681194 | + | 0.648112i | ||||
\(634\) | −21.7859 | − | 48.9318i | −0.865227 | − | 1.94333i | ||||
\(635\) | 0.890469 | − | 8.47225i | 0.0353372 | − | 0.336211i | ||||
\(636\) | −24.6181 | − | 17.8861i | −0.976169 | − | 0.709229i | ||||
\(637\) | 2.49333 | − | 0.676323i | 0.0987892 | − | 0.0267969i | ||||
\(638\) | −25.8656 | + | 18.7925i | −1.02403 | + | 0.744001i | ||||
\(639\) | 9.99065 | + | 8.99563i | 0.395224 | + | 0.355861i | ||||
\(640\) | −56.2941 | + | 25.0637i | −2.22522 | + | 0.990732i | ||||
\(641\) | 5.89557 | − | 5.30839i | 0.232861 | − | 0.209669i | −0.544437 | − | 0.838802i | \(-0.683257\pi\) |
0.777298 | + | 0.629133i | \(0.216590\pi\) | |||||||
\(642\) | −48.1731 | + | 27.8128i | −1.90124 | + | 1.09768i | ||||
\(643\) | 22.1205 | + | 30.4463i | 0.872348 | + | 1.20068i | 0.978482 | + | 0.206332i | \(0.0661527\pi\) |
−0.106134 | + | 0.994352i | \(0.533847\pi\) | |||||||
\(644\) | −38.7986 | − | 29.6764i | −1.52888 | − | 1.16941i | ||||
\(645\) | 4.16013 | − | 1.35171i | 0.163805 | − | 0.0532235i | ||||
\(646\) | 18.9386 | − | 21.0335i | 0.745130 | − | 0.827551i | ||||
\(647\) | −4.24184 | + | 7.34708i | −0.166764 | + | 0.288844i | −0.937280 | − | 0.348577i | \(-0.886665\pi\) |
0.770516 | + | 0.637420i | \(0.219998\pi\) | |||||||
\(648\) | −18.5458 | − | 3.94203i | −0.728547 | − | 0.154857i | ||||
\(649\) | −9.49071 | − | 0.997514i | −0.372543 | − | 0.0391558i | ||||
\(650\) | −2.33482 | − | 3.21360i | −0.0915790 | − | 0.126048i | ||||
\(651\) | 14.5851 | + | 1.89732i | 0.571636 | + | 0.0743619i | ||||
\(652\) | −9.02945 | + | 27.7898i | −0.353621 | + | 1.08833i | ||||
\(653\) | −23.4722 | + | 13.5517i | −0.918538 | + | 0.530318i | −0.883168 | − | 0.469056i | \(-0.844594\pi\) |
−0.0353698 | + | 0.999374i | \(0.511261\pi\) | |||||||
\(654\) | 2.33900 | + | 22.2541i | 0.0914620 | + | 0.870202i | ||||
\(655\) | −28.2653 | + | 48.9569i | −1.10442 | + | 1.91290i | ||||
\(656\) | −2.54390 | + | 5.35739i | −0.0993227 | + | 0.209171i | ||||
\(657\) | −0.874348 | −0.0341116 | ||||||||
\(658\) | −14.8814 | + | 62.4089i | −0.580138 | + | 2.43295i | ||||
\(659\) | − | 20.2768i | − | 0.789874i | −0.918708 | − | 0.394937i | \(-0.870767\pi\) | ||
0.918708 | − | 0.394937i | \(-0.129233\pi\) | |||||||
\(660\) | −38.9759 | + | 8.28458i | −1.51713 | + | 0.322477i | ||||
\(661\) | −12.8252 | − | 14.2439i | −0.498843 | − | 0.554022i | 0.440165 | − | 0.897917i | \(-0.354920\pi\) |
−0.939008 | + | 0.343895i | \(0.888253\pi\) | |||||||
\(662\) | −26.4202 | + | 2.77687i | −1.02685 | + | 0.107926i | ||||
\(663\) | −2.24571 | − | 0.236033i | −0.0872160 | − | 0.00916677i | ||||
\(664\) | 1.92870 | + | 5.93594i | 0.0748482 | + | 0.230359i | ||||
\(665\) | 18.0781 | − | 15.4884i | 0.701038 | − | 0.600613i | ||||
\(666\) | 0.171786 | + | 0.528704i | 0.00665659 | + | 0.0204869i | ||||
\(667\) | 21.4126 | + | 19.2799i | 0.829097 | + | 0.746523i | ||||
\(668\) | 15.4421 | − | 13.9041i | 0.597472 | − | 0.537966i | ||||
\(669\) | −30.6752 | + | 3.22410i | −1.18597 | + | 0.124651i | ||||
\(670\) | −36.6763 | + | 21.1751i | −1.41693 | + | 0.818065i | ||||
\(671\) | −34.8954 | − | 11.3382i | −1.34712 | − | 0.437707i | ||||
\(672\) | −7.51732 | + | 15.8231i | −0.289987 | + | 0.610388i | ||||
\(673\) | −40.4605 | + | 13.1464i | −1.55964 | + | 0.506757i | −0.956711 | − | 0.291040i | \(-0.905999\pi\) |
−0.602927 | + | 0.797797i | \(0.705999\pi\) | |||||||
\(674\) | −31.4218 | − | 13.9899i | −1.21032 | − | 0.538871i | ||||
\(675\) | −10.6045 | − | 23.8182i | −0.408169 | − | 0.916762i | ||||
\(676\) | 40.3597 | − | 17.9693i | 1.55230 | − | 0.691127i | ||||
\(677\) | −1.03229 | + | 9.82160i | −0.0396742 | + | 0.377475i | 0.956612 | + | 0.291366i | \(0.0941098\pi\) |
−0.996286 | + | 0.0861084i | \(0.972557\pi\) | |||||||
\(678\) | 35.6205 | − | 49.0274i | 1.36800 | − | 1.88289i | ||||
\(679\) | −31.9712 | + | 9.52388i | −1.22694 | + | 0.365493i | ||||
\(680\) | 41.2685 | − | 13.4090i | 1.58257 | − | 0.514210i | ||||
\(681\) | −2.59687 | + | 24.7076i | −0.0995124 | + | 0.946797i | ||||
\(682\) | 16.8539 | − | 15.1753i | 0.645369 | − | 0.581093i | ||||
\(683\) | 35.2687 | + | 20.3624i | 1.34952 | + | 0.779146i | 0.988181 | − | 0.153289i | \(-0.0489865\pi\) |
0.361339 | + | 0.932435i | \(0.382320\pi\) | |||||||
\(684\) | 3.49427 | − | 7.84827i | 0.133607 | − | 0.300086i | ||||
\(685\) | −49.8464 | − | 16.1961i | −1.90453 | − | 0.618821i | ||||
\(686\) | −7.67161 | + | 42.4869i | −0.292903 | + | 1.62216i | ||||
\(687\) | 5.71337 | + | 17.5839i | 0.217979 | + | 0.670869i | ||||
\(688\) | 0.446761 | + | 0.773813i | 0.0170326 | + | 0.0295014i | ||||
\(689\) | −2.18757 | − | 0.464982i | −0.0833397 | − | 0.0177144i | ||||
\(690\) | 23.1119 | + | 51.9102i | 0.879856 | + | 1.97619i | ||||
\(691\) | 4.77454 | − | 10.7238i | 0.181632 | − | 0.407952i | −0.799666 | − | 0.600445i | \(-0.794990\pi\) |
0.981299 | + | 0.192492i | \(0.0616570\pi\) | |||||||
\(692\) | −6.14818 | + | 18.9221i | −0.233719 | + | 0.719312i | ||||
\(693\) | 3.54603 | − | 4.63604i | 0.134703 | − | 0.176109i | ||||
\(694\) | − | 36.5078i | − | 1.38582i | ||||||
\(695\) | 23.3788 | + | 10.4089i | 0.886809 | + | 0.394833i | ||||
\(696\) | −13.1025 | + | 22.6942i | −0.496648 | + | 0.860220i | ||||
\(697\) | −13.9602 | + | 22.8703i | −0.528782 | + | 0.866276i | ||||
\(698\) | −11.0413 | − | 19.1241i | −0.417920 | − | 0.723859i | ||||
\(699\) | −11.6417 | + | 8.45818i | −0.440329 | + | 0.319918i | ||||
\(700\) | 41.2382 | − | 7.70877i | 1.55866 | − | 0.291364i | ||||
\(701\) | 14.6162 | − | 44.9841i | 0.552047 | − | 1.69903i | −0.151569 | − | 0.988447i | \(-0.548433\pi\) |
0.703616 | − | 0.710580i | \(-0.251567\pi\) | |||||||
\(702\) | −4.75221 | + | 1.01011i | −0.179360 | + | 0.0381242i | ||||
\(703\) | 0.798125 | − | 0.0838863i | 0.0301018 | − | 0.00316383i | ||||
\(704\) | 12.9147 | + | 29.0069i | 0.486741 | + | 1.09324i | ||||
\(705\) | 31.5609 | − | 35.0520i | 1.18865 | − | 1.32013i | ||||
\(706\) | −36.7202 | −1.38198 | ||||||||
\(707\) | −2.01540 | − | 1.23077i | −0.0757970 | − | 0.0462880i | ||||
\(708\) | −17.8112 | + | 5.78721i | −0.669386 | + | 0.217497i | ||||
\(709\) | −8.66442 | − | 40.7629i | −0.325399 | − | 1.53088i | −0.771692 | − | 0.635996i | \(-0.780589\pi\) |
0.446293 | − | 0.894887i | \(-0.352744\pi\) | |||||||
\(710\) | 112.110 | − | 11.7833i | 4.20742 | − | 0.442218i | ||||
\(711\) | 11.3645 | + | 6.56128i | 0.426201 | + | 0.246067i | ||||
\(712\) | −0.529604 | − | 2.49159i | −0.0198478 | − | 0.0933764i | ||||
\(713\) | −16.5354 | − | 12.0137i | −0.619255 | − | 0.449915i | ||||
\(714\) | 19.6678 | − | 32.2062i | 0.736050 | − | 1.20529i | ||||
\(715\) | −2.36925 | + | 1.72136i | −0.0886048 | + | 0.0643751i | ||||
\(716\) | 24.1701 | + | 2.54038i | 0.903279 | + | 0.0949385i | ||||
\(717\) | 1.37065 | − | 0.610253i | 0.0511879 | − | 0.0227903i | ||||
\(718\) | −19.8887 | + | 8.85501i | −0.742239 | + | 0.330466i | ||||
\(719\) | 5.15429 | + | 0.541738i | 0.192223 | + | 0.0202034i | 0.200150 | − | 0.979765i | \(-0.435857\pi\) |
−0.00792795 | + | 0.999969i | \(0.502524\pi\) | |||||||
\(720\) | 2.00344 | − | 1.45558i | 0.0746637 | − | 0.0542464i | ||||
\(721\) | −20.6355 | − | 37.8666i | −0.768505 | − | 1.41023i | ||||
\(722\) | 19.9568 | + | 14.4995i | 0.742717 | + | 0.539615i | ||||
\(723\) | 4.06053 | + | 19.1033i | 0.151013 | + | 0.710458i | ||||
\(724\) | −20.1006 | − | 11.6051i | −0.747031 | − | 0.431299i | ||||
\(725\) | −24.6111 | + | 2.58673i | −0.914032 | + | 0.0960686i | ||||
\(726\) | −3.15541 | − | 14.8450i | −0.117108 | − | 0.550951i | ||||
\(727\) | −2.20372 | + | 0.716032i | −0.0817314 | + | 0.0265561i | −0.349597 | − | 0.936900i | \(-0.613682\pi\) |
0.267866 | + | 0.963456i | \(0.413682\pi\) | |||||||
\(728\) | 0.0804416 | − | 3.26404i | 0.00298136 | − | 0.120973i | ||||
\(729\) | −29.6587 | −1.09847 | ||||||||
\(730\) | −4.90575 | + | 5.44838i | −0.181570 | + | 0.201654i | ||||
\(731\) | 1.64194 | + | 3.68786i | 0.0607294 | + | 0.136401i | ||||
\(732\) | −71.6108 | + | 7.52660i | −2.64681 | + | 0.278191i | ||||
\(733\) | 47.1400 | − | 10.0199i | 1.74115 | − | 0.370094i | 0.775788 | − | 0.630993i | \(-0.217353\pi\) |
0.965366 | + | 0.260900i | \(0.0840192\pi\) | |||||||
\(734\) | 1.49076 | − | 4.58809i | 0.0550250 | − | 0.169349i | ||||
\(735\) | 19.8985 | − | 24.7280i | 0.733968 | − | 0.912105i | ||||
\(736\) | 19.6945 | − | 14.3089i | 0.725947 | − | 0.527431i | ||||
\(737\) | 7.49488 | + | 12.9815i | 0.276077 | + | 0.478180i | ||||
\(738\) | −2.98246 | + | 12.5188i | −0.109786 | + | 0.460825i | ||||
\(739\) | −4.24249 | + | 7.34821i | −0.156062 | + | 0.270308i | −0.933445 | − | 0.358720i | \(-0.883213\pi\) |
0.777383 | + | 0.629028i | \(0.216547\pi\) | |||||||
\(740\) | 2.69120 | + | 1.19820i | 0.0989303 | + | 0.0440466i | ||||
\(741\) | 1.56565i | 0.0575158i | ||||||||
\(742\) | 22.7069 | − | 29.6867i | 0.833596 | − | 1.08983i | ||||
\(743\) | −5.43797 | + | 16.7364i | −0.199500 | + | 0.613998i | 0.800395 | + | 0.599474i | \(0.204623\pi\) |
−0.999895 | + | 0.0145242i | \(0.995377\pi\) | |||||||
\(744\) | 7.56064 | − | 16.9815i | 0.277187 | − | 0.622571i | ||||
\(745\) | 17.6970 | + | 39.7481i | 0.648367 | + | 1.45626i | ||||
\(746\) | −7.94966 | − | 1.68975i | −0.291058 | − | 0.0618663i | ||||
\(747\) | 0.804634 | + | 1.39367i | 0.0294400 | + | 0.0509916i | ||||
\(748\) | −11.3637 | − | 34.9737i | −0.415496 | − | 1.27877i | ||||
\(749\) | −20.6610 | − | 37.9136i | −0.754938 | − | 1.38533i | ||||
\(750\) | 3.85015 | + | 1.25099i | 0.140588 | + | 0.0456797i | ||||
\(751\) | −0.738721 | + | 1.65919i | −0.0269563 | + | 0.0605448i | −0.926522 | − | 0.376241i | \(-0.877217\pi\) |
0.899566 | + | 0.436786i | \(0.143883\pi\) | |||||||
\(752\) | 8.34400 | + | 4.81741i | 0.304274 | + | 0.175673i | ||||
\(753\) | 20.7645 | − | 18.6964i | 0.756699 | − | 0.681335i | ||||
\(754\) | −0.482018 | + | 4.58609i | −0.0175540 | + | 0.167016i | ||||
\(755\) | −54.4334 | + | 17.6865i | −1.98103 | + | 0.643677i | ||||
\(756\) | 11.9016 | − | 49.9122i | 0.432857 | − | 1.81529i | ||||
\(757\) | 26.7192 | − | 36.7758i | 0.971125 | − | 1.33664i | 0.0296491 | − | 0.999560i | \(-0.490561\pi\) |
0.941476 | − | 0.337079i | \(-0.109439\pi\) | |||||||
\(758\) | 2.75198 | − | 26.1833i | 0.0999564 | − | 0.951022i | ||||
\(759\) | 18.3735 | − | 8.18042i | 0.666917 | − | 0.296930i | ||||
\(760\) | −12.2372 | − | 27.4853i | −0.443891 | − | 0.996996i | ||||
\(761\) | −21.6495 | − | 9.63897i | −0.784793 | − | 0.349413i | −0.0250924 | − | 0.999685i | \(-0.507988\pi\) |
−0.759701 | + | 0.650273i | \(0.774655\pi\) | |||||||
\(762\) | −8.90500 | + | 2.89341i | −0.322594 | + | 0.104817i | ||||
\(763\) | −17.3136 | + | 1.38944i | −0.626793 | + | 0.0503011i | ||||
\(764\) | 79.3304 | + | 25.7760i | 2.87007 | + | 0.932543i | ||||
\(765\) | 9.68920 | − | 5.59406i | 0.350314 | − | 0.202254i | ||||
\(766\) | −31.5424 | + | 3.31524i | −1.13967 | + | 0.119784i | ||||
\(767\) | −1.02287 | + | 0.920998i | −0.0369338 | + | 0.0332553i | ||||
\(768\) | 23.3659 | + | 21.0388i | 0.843145 | + | 0.759171i | ||||
\(769\) | 1.33458 | + | 4.10740i | 0.0481260 | + | 0.148117i | 0.972232 | − | 0.234020i | \(-0.0751882\pi\) |
−0.924106 | + | 0.382137i | \(0.875188\pi\) | |||||||
\(770\) | −8.99301 | − | 48.1083i | −0.324086 | − | 1.73370i | ||||
\(771\) | 2.25889 | + | 6.95214i | 0.0813518 | + | 0.250375i | ||||
\(772\) | −14.2024 | − | 1.49273i | −0.511154 | − | 0.0537245i | ||||
\(773\) | −4.22006 | + | 0.443546i | −0.151785 | + | 0.0159533i | −0.180116 | − | 0.983645i | \(-0.557647\pi\) |
0.0283311 | + | 0.999599i | \(0.490981\pi\) | |||||||
\(774\) | 1.29737 | + | 1.44087i | 0.0466329 | + | 0.0517911i | ||||
\(775\) | 17.1705 | − | 3.64970i | 0.616782 | − | 0.131101i | ||||
\(776\) | 42.1611i | 1.51349i | ||||||||
\(777\) | 1.02547 | − | 0.305476i | 0.0367884 | − | 0.0109589i | ||||
\(778\) | −53.9335 | −1.93361 | ||||||||
\(779\) | 16.7822 | + | 7.96888i | 0.601286 | + | 0.285515i | ||||
\(780\) | −2.87359 | + | 4.97720i | −0.102891 | + | 0.178213i | ||||
\(781\) | −4.17066 | − | 39.6812i | −0.149238 | − | 1.41990i | ||||
\(782\) | −45.4148 | + | 26.2203i | −1.62403 | + | 0.937635i | ||||
\(783\) | −9.35310 | + | 28.7859i | −0.334252 | + | 1.02872i | ||||
\(784\) | 5.78590 | + | 2.92565i | 0.206639 | + | 0.104488i | ||||
\(785\) | 6.33355 | + | 8.71739i | 0.226054 | + | 0.311137i | ||||
\(786\) | 61.7932 | + | 6.49473i | 2.20409 | + | 0.231659i | ||||
\(787\) | −8.30626 | − | 1.76555i | −0.296086 | − | 0.0629351i | 0.0574734 | − | 0.998347i | \(-0.481696\pi\) |
−0.353560 | + | 0.935412i | \(0.615029\pi\) | |||||||
\(788\) | 30.1724 | − | 52.2601i | 1.07485 | − | 1.86169i | ||||
\(789\) | 29.5595 | − | 32.8292i | 1.05235 | − | 1.16875i | ||||
\(790\) | 104.649 | − | 34.0025i | 3.72324 | − | 1.20976i | ||||
\(791\) | 37.3634 | + | 28.5786i | 1.32849 | + | 1.01614i | ||||
\(792\) | −4.33589 | − | 5.96784i | −0.154069 | − | 0.212058i | ||||
\(793\) | −4.58307 | + | 2.64603i | −0.162749 | + | 0.0939634i | ||||
\(794\) | −19.9925 | + | 18.0013i | −0.709508 | + | 0.638844i | ||||
\(795\) | −25.1014 | + | 11.1759i | −0.890254 | + | 0.396367i | ||||
\(796\) | −36.4268 | − | 32.7989i | −1.29111 | − | 1.16252i | ||||
\(797\) | −0.911243 | + | 0.662057i | −0.0322779 | + | 0.0234513i | −0.603807 | − | 0.797130i | \(-0.706350\pi\) |
0.571529 | + | 0.820582i | \(0.306350\pi\) | |||||||
\(798\) | −23.6335 | − | 11.2280i | −0.836618 | − | 0.397466i | ||||
\(799\) | 35.2160 | + | 25.5860i | 1.24585 | + | 0.905166i | ||||
\(800\) | −2.18546 | + | 20.7932i | −0.0772675 | + | 0.735151i | ||||
\(801\) | −0.267135 | − | 0.599995i | −0.00943875 | − | 0.0211998i | ||||
\(802\) | −2.66269 | − | 25.3338i | −0.0940229 | − | 0.894568i | ||||
\(803\) | 1.92844 | + | 1.73638i | 0.0680533 | + | 0.0612755i | ||||
\(804\) | 23.7988 | + | 17.2908i | 0.839318 | + | 0.609800i | ||||
\(805\) | −40.7236 | + | 16.9418i | −1.43532 | + | 0.597120i | ||||
\(806\) | − | 3.27107i | − | 0.115219i | ||||||
\(807\) | −14.3327 | + | 32.1917i | −0.504533 | + | 1.13320i | ||||
\(808\) | −2.21795 | + | 1.99705i | −0.0780271 | + | 0.0702559i | ||||
\(809\) | −8.77717 | + | 41.2933i | −0.308589 | + | 1.45180i | 0.501331 | + | 0.865256i | \(0.332844\pi\) |
−0.809920 | + | 0.586541i | \(0.800489\pi\) | |||||||
\(810\) | −27.4288 | + | 30.4627i | −0.963749 | + | 1.07035i | ||||
\(811\) | 52.4333 | 1.84118 | 0.920591 | − | 0.390528i | \(-0.127707\pi\) | ||||
0.920591 | + | 0.390528i | \(0.127707\pi\) | |||||||
\(812\) | −41.5650 | − | 25.3831i | −1.45865 | − | 0.890772i | ||||
\(813\) | 13.1942 | − | 18.1602i | 0.462741 | − | 0.636908i | ||||
\(814\) | 0.671073 | − | 1.50725i | 0.0235211 | − | 0.0528292i | ||||
\(815\) | 17.6547 | + | 19.6076i | 0.618418 | + | 0.686823i | ||||
\(816\) | −3.79197 | − | 4.21141i | −0.132745 | − | 0.147429i | ||||
\(817\) | 2.42400 | − | 1.39950i | 0.0848051 | − | 0.0489622i | ||||
\(818\) | −23.7139 | + | 17.2291i | −0.829135 | + | 0.602402i | ||||
\(819\) | −0.154689 | − | 0.827511i | −0.00540526 | − | 0.0289156i | ||||
\(820\) | 38.7246 | + | 56.1350i | 1.35232 | + | 1.96032i | ||||
\(821\) | −7.48072 | − | 12.9570i | −0.261079 | − | 0.452202i | 0.705450 | − | 0.708760i | \(-0.250745\pi\) |
−0.966529 | + | 0.256558i | \(0.917412\pi\) | |||||||
\(822\) | 6.02151 | + | 57.2909i | 0.210024 | + | 1.99825i | ||||
\(823\) | 19.4241 | + | 11.2145i | 0.677080 | + | 0.390912i | 0.798754 | − | 0.601658i | \(-0.205493\pi\) |
−0.121674 | + | 0.992570i | \(0.538826\pi\) | |||||||
\(824\) | −53.3110 | + | 11.3316i | −1.85718 | + | 0.394755i | ||||
\(825\) | −5.33784 | + | 16.4282i | −0.185840 | + | 0.571956i | ||||
\(826\) | −6.56701 | − | 22.0451i | −0.228495 | − | 0.767047i | ||||
\(827\) | 16.2237 | − | 22.3300i | 0.564153 | − | 0.776490i | −0.427694 | − | 0.903924i | \(-0.640674\pi\) |
0.991847 | + | 0.127433i | \(0.0406739\pi\) | |||||||
\(828\) | −10.6508 | + | 11.8290i | −0.370143 | + | 0.411085i | ||||
\(829\) | −1.78638 | + | 3.09409i | −0.0620434 | + | 0.107462i | −0.895379 | − | 0.445306i | \(-0.853095\pi\) |
0.833335 | + | 0.552768i | \(0.186428\pi\) | |||||||
\(830\) | 13.1991 | + | 2.80554i | 0.458146 | + | 0.0973819i | ||||
\(831\) | 19.6923 | + | 17.7310i | 0.683119 | + | 0.615083i | ||||
\(832\) | 4.35552 | + | 1.41520i | 0.151001 | + | 0.0490631i | ||||
\(833\) | 24.6154 | + | 15.8779i | 0.852874 | + | 0.550136i | ||||
\(834\) | − | 28.1278i | − | 0.973986i | ||||||
\(835\) | −3.90106 | − | 18.3530i | −0.135002 | − | 0.635133i | ||||
\(836\) | −23.2929 | + | 10.3707i | −0.805601 | + | 0.358677i | ||||
\(837\) | 4.46389 | − | 21.0010i | 0.154295 | − | 0.725900i | ||||
\(838\) | −22.1933 | − | 9.88108i | −0.766654 | − | 0.341336i | ||||
\(839\) | −1.46274 | + | 2.01329i | −0.0504993 | + | 0.0695064i | −0.833520 | − | 0.552489i | \(-0.813678\pi\) |
0.783021 | + | 0.621996i | \(0.213678\pi\) | |||||||
\(840\) | −22.7718 | − | 33.0241i | −0.785701 | − | 1.13944i | ||||
\(841\) | −0.219771 | − | 0.159673i | −0.00757831 | − | 0.00550597i | ||||
\(842\) | 71.1862 | + | 7.48197i | 2.45324 | + | 0.257846i | ||||
\(843\) | 2.62272 | + | 24.9535i | 0.0903314 | + | 0.859445i | ||||
\(844\) | −8.00714 | + | 37.6706i | −0.275617 | + | 1.29668i | ||||
\(845\) | 4.16988 | − | 39.6738i | 0.143448 | − | 1.36482i | ||||
\(846\) | 19.8837 | + | 6.46060i | 0.683615 | + | 0.222120i | ||||
\(847\) | 11.5799 | − | 2.16466i | 0.397889 | − | 0.0743785i | ||||
\(848\) | −3.29907 | − | 4.54078i | −0.113290 | − | 0.155931i | ||||
\(849\) | −4.02799 | − | 18.9502i | −0.138240 | − | 0.650369i | ||||
\(850\) | 9.36412 | − | 44.0547i | 0.321187 | − | 1.51106i | ||||
\(851\) | −1.45442 | − | 0.309147i | −0.0498570 | − | 0.0105974i | ||||
\(852\) | −39.1510 | − | 67.8114i | −1.34129 | − | 2.32318i | ||||
\(853\) | 9.14279 | + | 28.1386i | 0.313043 | + | 0.963447i | 0.976552 | + | 0.215279i | \(0.0690662\pi\) |
−0.663509 | + | 0.748168i | \(0.730934\pi\) | |||||||
\(854\) | −7.07475 | − | 88.1572i | −0.242093 | − | 3.01668i | ||||
\(855\) | −4.55967 | − | 6.27585i | −0.155937 | − | 0.214630i | ||||
\(856\) | −53.3771 | + | 11.3457i | −1.82439 | + | 0.387787i | ||||
\(857\) | −32.3948 | − | 35.9780i | −1.10658 | − | 1.22899i | −0.971218 | − | 0.238191i | \(-0.923446\pi\) |
−0.135366 | − | 0.990796i | \(-0.543221\pi\) | |||||||
\(858\) | 2.78757 | + | 1.60941i | 0.0951662 | + | 0.0549442i | ||||
\(859\) | −10.0233 | − | 4.46265i | −0.341990 | − | 0.152264i | 0.228553 | − | 0.973531i | \(-0.426601\pi\) |
−0.570543 | + | 0.821268i | \(0.693267\pi\) | |||||||
\(860\) | 10.2745 | 0.350358 | ||||||||
\(861\) | 23.9471 | + | 6.33245i | 0.816114 | + | 0.215809i | ||||
\(862\) | 55.4764 | 1.88953 | ||||||||
\(863\) | 46.0009 | + | 20.4809i | 1.56589 | + | 0.697179i | 0.992516 | − | 0.122115i | \(-0.0389677\pi\) |
0.573374 | + | 0.819294i | \(0.305634\pi\) | |||||||
\(864\) | 22.1460 | + | 12.7860i | 0.753422 | + | 0.434988i | ||||
\(865\) | 12.0212 | + | 13.3508i | 0.408732 | + | 0.453942i | ||||
\(866\) | 56.0316 | − | 11.9099i | 1.90403 | − | 0.404715i | ||||
\(867\) | −0.438947 | − | 0.604159i | −0.0149074 | − | 0.0205183i | ||||
\(868\) | 31.2048 | + | 14.8250i | 1.05916 | + | 0.503192i | ||||
\(869\) | −12.0351 | − | 37.0403i | −0.408264 | − | 1.25651i | ||||
\(870\) | 28.3275 | + | 49.0647i | 0.960393 | + | 1.66345i | ||||
\(871\) | 2.11477 | + | 0.449508i | 0.0716561 | + | 0.0152310i | ||||
\(872\) | −4.56405 | + | 21.4722i | −0.154558 | + | 0.727139i | ||||
\(873\) | 2.26014 | + | 10.6331i | 0.0764941 | + | 0.359877i | ||||
\(874\) | 21.3719 | + | 29.4159i | 0.722916 | + | 0.995008i | ||||
\(875\) | −1.04438 | + | 2.96374i | −0.0353065 | + | 0.100193i | ||||
\(876\) | 4.84331 | + | 1.57369i | 0.163640 | + | 0.0531700i | ||||
\(877\) | 3.32839 | − | 31.6675i | 0.112392 | − | 1.06934i | −0.782377 | − | 0.622805i | \(-0.785993\pi\) |
0.894769 | − | 0.446530i | \(-0.147340\pi\) | |||||||
\(878\) | 8.09704 | − | 38.0936i | 0.273262 | − | 1.28560i | ||||
\(879\) | −4.24203 | − | 40.3602i | −0.143080 | − | 1.36132i | ||||
\(880\) | −7.30941 | − | 0.768250i | −0.246400 | − | 0.0258977i | ||||
\(881\) | 6.11630 | + | 4.44375i | 0.206063 | + | 0.149714i | 0.686031 | − | 0.727572i | \(-0.259351\pi\) |
−0.479967 | + | 0.877286i | \(0.659351\pi\) | |||||||
\(882\) | 13.6006 | + | 3.59941i | 0.457956 | + | 0.121198i | ||||
\(883\) | 3.03671 | − | 4.17967i | 0.102193 | − | 0.140657i | −0.754858 | − | 0.655889i | \(-0.772294\pi\) |
0.857051 | + | 0.515232i | \(0.172294\pi\) | |||||||
\(884\) | −4.84539 | − | 2.15731i | −0.162968 | − | 0.0725581i | ||||
\(885\) | −3.51590 | + | 16.5410i | −0.118186 | + | 0.556021i | ||||
\(886\) | 6.72697 | − | 2.99504i | 0.225997 | − | 0.100620i | ||||
\(887\) | 8.09587 | + | 38.0881i | 0.271833 | + | 1.27887i | 0.876115 | + | 0.482102i | \(0.160127\pi\) |
−0.604282 | + | 0.796770i | \(0.706540\pi\) | |||||||
\(888\) | − | 1.35231i | − | 0.0453804i | ||||||
\(889\) | −2.07495 | − | 6.96549i | −0.0695915 | − | 0.233615i | ||||
\(890\) | −5.23762 | − | 1.70181i | −0.175565 | − | 0.0570447i | ||||
\(891\) | 10.7822 | + | 9.70836i | 0.361218 | + | 0.325242i | ||||
\(892\) | −70.8661 | − | 15.0631i | −2.37277 | − | 0.504348i | ||||
\(893\) | 15.0907 | − | 26.1379i | 0.504992 | − | 0.874672i | ||||
\(894\) | 31.9993 | − | 35.5388i | 1.07022 | − | 1.18859i | ||||
\(895\) | 12.8989 | − | 17.7539i | 0.431164 | − | 0.593447i | ||||
\(896\) | −36.1300 | + | 38.1907i | −1.20702 | + | 1.27586i | ||||
\(897\) | 0.896413 | − | 2.75888i | 0.0299304 | − | 0.0921162i | ||||
\(898\) | −19.2591 | + | 4.09365i | −0.642684 | + | 0.136607i | ||||
\(899\) | −17.6483 | − | 10.1893i | −0.588604 | − | 0.339831i | ||||
\(900\) | −1.42899 | − | 13.5959i | −0.0476330 | − | 0.453197i | ||||
\(901\) | −12.6789 | − | 21.9605i | −0.422395 | − | 0.731610i | ||||
\(902\) | 31.4394 | − | 21.6884i | 1.04682 | − | 0.722145i | ||||
\(903\) | 2.83402 | − | 2.42804i | 0.0943103 | − | 0.0808001i | ||||
\(904\) | 48.0967 | − | 34.9443i | 1.59967 | − | 1.16223i | ||||
\(905\) | −18.1501 | + | 10.4790i | −0.603330 | + | 0.348333i | ||||
\(906\) | 42.0933 | + | 46.7494i | 1.39846 | + | 1.55314i | ||||
\(907\) | 9.84156 | + | 10.9302i | 0.326784 | + | 0.362930i | 0.884041 | − | 0.467410i | \(-0.154813\pi\) |
−0.557257 | + | 0.830340i | \(0.688146\pi\) | |||||||
\(908\) | −23.7350 | + | 53.3098i | −0.787675 | + | 1.76915i | ||||
\(909\) | −0.452315 | + | 0.622559i | −0.0150024 | + | 0.0206490i | ||||
\(910\) | −6.02445 | − | 3.67903i | −0.199708 | − | 0.121959i | ||||
\(911\) | −39.8996 | −1.32193 | −0.660967 | − | 0.750415i | \(-0.729854\pi\) | ||||
−0.660967 | + | 0.750415i | \(0.729854\pi\) | |||||||
\(912\) | −2.62919 | + | 2.92001i | −0.0870612 | + | 0.0966913i | ||||
\(913\) | 0.993017 | − | 4.67178i | 0.0328641 | − | 0.154613i | ||||
\(914\) | 49.8194 | − | 44.8576i | 1.64788 | − | 1.48376i | ||||
\(915\) | −26.4453 | + | 59.3972i | −0.874256 | + | 1.96361i | ||||
\(916\) | 43.4280i | 1.43490i | ||||||||
\(917\) | −6.22155 | + | 47.8265i | −0.205454 | + | 1.57937i | ||||
\(918\) | −44.5659 | − | 32.3790i | −1.47089 | − | 1.06867i | ||||
\(919\) | −0.973855 | − | 0.876863i | −0.0321245 | − | 0.0289251i | 0.652912 | − | 0.757434i | \(-0.273547\pi\) |
−0.685037 | + | 0.728509i | \(0.740214\pi\) | |||||||
\(920\) | 5.82686 | + | 55.4388i | 0.192106 | + | 1.82776i | ||||
\(921\) | −18.3020 | − | 41.1070i | −0.603072 | − | 1.35452i | ||||
\(922\) | −2.77981 | + | 26.4481i | −0.0915480 | + | 0.871021i | ||||
\(923\) | −4.65577 | − | 3.38261i | −0.153246 | − | 0.111340i | ||||
\(924\) | −27.9868 | + | 19.2983i | −0.920699 | + | 0.634869i | ||||
\(925\) | 1.03315 | − | 0.750630i | 0.0339699 | − | 0.0246806i | ||||
\(926\) | 17.4632 | + | 15.7240i | 0.573877 | + | 0.516722i | ||||
\(927\) | −12.8377 | + | 5.71572i | −0.421646 | + | 0.187729i | ||||
\(928\) | 18.0375 | − | 16.2410i | 0.592109 | − | 0.533137i | ||||
\(929\) | −44.1492 | + | 25.4895i | −1.44849 | + | 0.836285i | −0.998392 | − | 0.0566949i | \(-0.981944\pi\) |
−0.450097 | + | 0.892980i | \(0.648610\pi\) | |||||||
\(930\) | −23.6221 | − | 32.5131i | −0.774600 | − | 1.06615i | ||||
\(931\) | 9.16472 | − | 18.1246i | 0.300362 | − | 0.594009i | ||||
\(932\) | −32.1459 | + | 10.4448i | −1.05297 | + | 0.342131i | ||||
\(933\) | 22.7371 | − | 25.2521i | 0.744380 | − | 0.826717i | ||||
\(934\) | −31.2534 | + | 54.1326i | −1.02264 | + | 1.77127i | ||||
\(935\) | −32.4796 | − | 6.90376i | −1.06220 | − | 0.225777i | ||||
\(936\) | −1.05813 | − | 0.111214i | −0.0345859 | − | 0.00363513i | ||||
\(937\) | −3.36685 | − | 4.63407i | −0.109990 | − | 0.151389i | 0.750473 | − | 0.660901i | \(-0.229826\pi\) |
−0.860463 | + | 0.509513i | \(0.829826\pi\) | |||||||
\(938\) | −21.9512 | + | 28.6988i | −0.716732 | + | 0.937048i | ||||
\(939\) | 0.102086 | − | 0.314189i | 0.00333145 | − | 0.0102532i | ||||
\(940\) | 95.9467 | − | 55.3948i | 3.12943 | − | 1.80678i | ||||
\(941\) | −2.79187 | − | 26.5628i | −0.0910123 | − | 0.865924i | −0.940837 | − | 0.338859i | \(-0.889959\pi\) |
0.849825 | − | 0.527065i | \(-0.176708\pi\) | |||||||
\(942\) | 5.92164 | − | 10.2566i | 0.192937 | − | 0.334177i | ||||
\(943\) | −25.0098 | − | 23.6508i | −0.814431 | − | 0.770175i | ||||
\(944\) | −3.45432 | −0.112429 | ||||||||
\(945\) | −33.6576 | − | 31.8415i | −1.09488 | − | 1.03580i | ||||
\(946\) | − | 5.75443i | − | 0.187093i | ||||||
\(947\) | 25.9596 | − | 5.51788i | 0.843573 | − | 0.179307i | 0.234198 | − | 0.972189i | \(-0.424754\pi\) |
0.609375 | + | 0.792882i | \(0.291420\pi\) | |||||||
\(948\) | −51.1424 | − | 56.7994i | −1.66103 | − | 1.84476i | ||||
\(949\) | 0.372230 | − | 0.0391230i | 0.0120831 | − | 0.00126999i | ||||
\(950\) | −31.0570 | − | 3.26423i | −1.00762 | − | 0.105905i | ||||
\(951\) | 10.3814 | + | 31.9507i | 0.336641 | + | 1.03607i | ||||
\(952\) | 28.1135 | − | 24.0862i | 0.911163 | − | 0.780637i | ||||
\(953\) | −16.9302 | − | 52.1059i | −0.548424 | − | 1.68787i | −0.712708 | − | 0.701461i | \(-0.752531\pi\) |
0.164284 | − | 0.986413i | \(-0.447469\pi\) | |||||||
\(954\) | −9.05092 | − | 8.14949i | −0.293034 | − | 0.263849i | ||||
\(955\) | 55.9729 | − | 50.3983i | 1.81124 | − | 1.63085i | ||||
\(956\) | 3.50487 | − | 0.368376i | 0.113356 | − | 0.0119141i | ||||
\(957\) | 17.3664 | − | 10.0265i | 0.561375 | − | 0.324110i | ||||
\(958\) | 21.5756 | + | 7.01033i | 0.697075 | + | 0.226493i | ||||
\(959\) | −44.5721 | + | 3.57698i | −1.43931 | + | 0.115507i | ||||
\(960\) | 53.5119 | − | 17.3871i | 1.72709 | − | 0.561166i | ||||
\(961\) | −15.1141 | − | 6.72924i | −0.487552 | − | 0.217072i | ||||
\(962\) | −0.0967905 | − | 0.217395i | −0.00312065 | − | 0.00700910i | ||||
\(963\) | −12.8536 | + | 5.72281i | −0.414203 | + | 0.184415i | ||||
\(964\) | −4.79511 | + | 45.6224i | −0.154440 | + | 1.46940i | ||||
\(965\) | −7.57942 | + | 10.4322i | −0.243990 | + | 0.335824i | ||||
\(966\) | 35.2166 | + | 33.3164i | 1.13308 | + | 1.07194i | ||||
\(967\) | −1.05040 | + | 0.341296i | −0.0337787 | + | 0.0109754i | −0.325858 | − | 0.945419i | \(-0.605653\pi\) |
0.292079 | + | 0.956394i | \(0.405653\pi\) | |||||||
\(968\) | 1.55628 | − | 14.8070i | 0.0500208 | − | 0.475916i | ||||
\(969\) | −13.1924 | + | 11.8785i | −0.423801 | + | 0.381592i | ||||
\(970\) | 78.9400 | + | 45.5760i | 2.53461 | + | 1.46336i | ||||
\(971\) | 2.96683 | − | 6.66361i | 0.0952101 | − | 0.213845i | −0.859662 | − | 0.510864i | \(-0.829326\pi\) |
0.954872 | + | 0.297018i | \(0.0959923\pi\) | |||||||
\(972\) | −28.2546 | − | 9.18046i | −0.906266 | − | 0.294464i | ||||
\(973\) | 21.8268 | + | 0.537917i | 0.699734 | + | 0.0172448i | ||||
\(974\) | −12.2571 | − | 37.7236i | −0.392744 | − | 1.20874i | ||||
\(975\) | 1.24571 | + | 2.15763i | 0.0398946 | + | 0.0690996i | ||||
\(976\) | −12.9911 | − | 2.76134i | −0.415834 | − | 0.0883883i | ||||
\(977\) | 16.0829 | + | 36.1228i | 0.514538 | + | 1.15567i | 0.964850 | + | 0.262799i | \(0.0846458\pi\) |
−0.450313 | + | 0.892871i | \(0.648688\pi\) | |||||||
\(978\) | 11.7952 | − | 26.4925i | 0.377170 | − | 0.847138i | ||||
\(979\) | −0.602351 | + | 1.85385i | −0.0192512 | + | 0.0592491i | ||||
\(980\) | 62.4003 | − | 40.7970i | 1.99330 | − | 1.30321i | ||||
\(981\) | 5.66000i | 0.180710i | ||||||||
\(982\) | 15.3625 | + | 6.83981i | 0.490236 | + | 0.218267i | ||||
\(983\) | −11.6306 | + | 20.1448i | −0.370958 | + | 0.642518i | −0.989713 | − | 0.143066i | \(-0.954304\pi\) |
0.618755 | + | 0.785584i | \(0.287637\pi\) | |||||||
\(984\) | 16.3106 | − | 26.7207i | 0.519962 | − | 0.851826i | ||||
\(985\) | −27.2446 | − | 47.1891i | −0.868087 | − | 1.50357i | ||||
\(986\) | −42.3000 | + | 30.7328i | −1.34711 | + | 0.978730i | ||||
\(987\) | 13.3743 | − | 37.9534i | 0.425707 | − | 1.20807i | ||||
\(988\) | −1.13642 | + | 3.49754i | −0.0361543 | + | 0.111272i | ||||
\(989\) | −5.07267 | + | 1.07823i | −0.161301 | + | 0.0342857i | ||||
\(990\) | −15.8609 | + | 1.66705i | −0.504094 | + | 0.0529824i | ||||
\(991\) | −0.837461 | − | 1.88097i | −0.0266028 | − | 0.0597509i | 0.899755 | − | 0.436395i | \(-0.143745\pi\) |
−0.926358 | + | 0.376644i | \(0.877078\pi\) | |||||||
\(992\) | −11.5206 | + | 12.7949i | −0.365779 | + | 0.406239i | ||||
\(993\) | 16.6623 | 0.528761 | ||||||||
\(994\) | 84.4490 | − | 46.0206i | 2.67856 | − | 1.45968i | ||||
\(995\) | −42.0945 | + | 13.6773i | −1.33449 | + | 0.433601i | ||||
\(996\) | −1.94876 | − | 9.16821i | −0.0617489 | − | 0.290506i | ||||
\(997\) | 45.5897 | − | 4.79167i | 1.44384 | − | 0.151754i | 0.650025 | − | 0.759913i | \(-0.274759\pi\) |
0.793815 | + | 0.608159i | \(0.208092\pi\) | |||||||
\(998\) | −13.9247 | − | 8.03941i | −0.440778 | − | 0.254483i | ||||
\(999\) | −0.324746 | − | 1.52781i | −0.0102745 | − | 0.0483377i |
(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 | 287.2.z.a.4.3 | ✓ | 208 | |
7.2 | even | 3 | inner | 287.2.z.a.86.24 | yes | 208 | |
41.31 | even | 10 | inner | 287.2.z.a.277.24 | yes | 208 | |
287.72 | even | 30 | inner | 287.2.z.a.72.3 | yes | 208 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.z.a.4.3 | ✓ | 208 | 1.1 | even | 1 | trivial | |
287.2.z.a.72.3 | yes | 208 | 287.72 | even | 30 | inner | |
287.2.z.a.86.24 | yes | 208 | 7.2 | even | 3 | inner | |
287.2.z.a.277.24 | yes | 208 | 41.31 | even | 10 | inner |