Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(103,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.p (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 207.20 | ||
Character | \(\chi\) | \(=\) | 260.207 |
Dual form | 260.2.p.d.103.20 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.528615 | + | 1.31170i | 0.373787 | + | 0.927515i | ||||
\(3\) | 0.834468 | + | 0.834468i | 0.481780 | + | 0.481780i | 0.905700 | − | 0.423920i | \(-0.139346\pi\) |
−0.423920 | + | 0.905700i | \(0.639346\pi\) | |||||||
\(4\) | −1.44113 | + | 1.38677i | −0.720567 | + | 0.693386i | ||||
\(5\) | −0.462357 | + | 2.18774i | −0.206772 | + | 0.978389i | ||||
\(6\) | −0.653463 | + | 1.53569i | −0.266775 | + | 0.626941i | ||||
\(7\) | 1.21162 | + | 1.21162i | 0.457948 | + | 0.457948i | 0.897981 | − | 0.440033i | \(-0.145033\pi\) |
−0.440033 | + | 0.897981i | \(0.645033\pi\) | |||||||
\(8\) | −2.58084 | − | 1.15727i | −0.912464 | − | 0.409158i | ||||
\(9\) | − | 1.60733i | − | 0.535776i | ||||||
\(10\) | −3.11408 | + | 0.549999i | −0.984759 | + | 0.173925i | ||||
\(11\) | −0.135866 | −0.0409653 | −0.0204826 | − | 0.999790i | \(-0.506520\pi\) | ||||
−0.0204826 | + | 0.999790i | \(0.506520\pi\) | |||||||
\(12\) | −2.35980 | − | 0.0453632i | −0.681214 | − | 0.0130952i | ||||
\(13\) | 1.01757 | − | 3.45898i | 0.282223 | − | 0.959349i | ||||
\(14\) | −0.948804 | + | 2.22976i | −0.253578 | + | 0.595928i | ||||
\(15\) | −2.21142 | + | 1.43978i | −0.570987 | + | 0.371750i | ||||
\(16\) | 0.153730 | − | 3.99704i | 0.0384325 | − | 0.999261i | ||||
\(17\) | −1.10965 | − | 1.10965i | −0.269130 | − | 0.269130i | 0.559620 | − | 0.828750i | \(-0.310947\pi\) |
−0.828750 | + | 0.559620i | \(0.810947\pi\) | |||||||
\(18\) | 2.10834 | − | 0.849657i | 0.496940 | − | 0.200266i | ||||
\(19\) | 6.12150i | 1.40437i | 0.711995 | + | 0.702185i | \(0.247792\pi\) | ||||
−0.711995 | + | 0.702185i | \(0.752208\pi\) | |||||||
\(20\) | −2.36758 | − | 3.79401i | −0.529408 | − | 0.848367i | ||||
\(21\) | 2.02211i | 0.441261i | ||||||||
\(22\) | −0.0718210 | − | 0.178217i | −0.0153123 | − | 0.0379959i | ||||
\(23\) | 4.72792 | + | 4.72792i | 0.985840 | + | 0.985840i | 0.999901 | − | 0.0140607i | \(-0.00447582\pi\) |
−0.0140607 | + | 0.999901i | \(0.504476\pi\) | |||||||
\(24\) | −1.18792 | − | 3.11933i | −0.242483 | − | 0.636731i | ||||
\(25\) | −4.57245 | − | 2.02304i | −0.914491 | − | 0.404607i | ||||
\(26\) | 5.07506 | − | 0.493718i | 0.995301 | − | 0.0968261i | ||||
\(27\) | 3.84467 | − | 3.84467i | 0.739906 | − | 0.739906i | ||||
\(28\) | −3.42634 | − | 0.0658656i | −0.647517 | − | 0.0124474i | ||||
\(29\) | 4.39615i | 0.816345i | 0.912905 | + | 0.408172i | \(0.133834\pi\) | ||||
−0.912905 | + | 0.408172i | \(0.866166\pi\) | |||||||
\(30\) | −3.05756 | − | 2.13964i | −0.558231 | − | 0.390644i | ||||
\(31\) | 3.12087 | 0.560525 | 0.280263 | − | 0.959923i | \(-0.409578\pi\) | ||||
0.280263 | + | 0.959923i | \(0.409578\pi\) | |||||||
\(32\) | 5.32420 | − | 1.91125i | 0.941195 | − | 0.337864i | ||||
\(33\) | −0.113376 | − | 0.113376i | −0.0197363 | − | 0.0197363i | ||||
\(34\) | 0.868956 | − | 2.04211i | 0.149025 | − | 0.350219i | ||||
\(35\) | −3.21091 | + | 2.09051i | −0.542742 | + | 0.353360i | ||||
\(36\) | 2.22900 | + | 2.31637i | 0.371499 | + | 0.386062i | ||||
\(37\) | 6.39942 | − | 6.39942i | 1.05206 | − | 1.05206i | 0.0534895 | − | 0.998568i | \(-0.482966\pi\) |
0.998568 | − | 0.0534895i | \(-0.0170344\pi\) | |||||||
\(38\) | −8.02960 | + | 3.23592i | −1.30257 | + | 0.524935i | ||||
\(39\) | 3.73554 | − | 2.03728i | 0.598165 | − | 0.326226i | ||||
\(40\) | 3.72508 | − | 5.11114i | 0.588987 | − | 0.808142i | ||||
\(41\) | − | 2.92506i | − | 0.456817i | −0.973565 | − | 0.228409i | \(-0.926648\pi\) | ||
0.973565 | − | 0.228409i | \(-0.0733522\pi\) | |||||||
\(42\) | −2.65241 | + | 1.06892i | −0.409276 | + | 0.164937i | ||||
\(43\) | 1.51561 | + | 1.51561i | 0.231128 | + | 0.231128i | 0.813163 | − | 0.582035i | \(-0.197744\pi\) |
−0.582035 | + | 0.813163i | \(0.697744\pi\) | |||||||
\(44\) | 0.195802 | − | 0.188416i | 0.0295182 | − | 0.0284047i | ||||
\(45\) | 3.51642 | + | 0.743158i | 0.524197 | + | 0.110784i | ||||
\(46\) | −3.70239 | + | 8.70089i | −0.545887 | + | 1.28288i | ||||
\(47\) | −8.14297 | − | 8.14297i | −1.18777 | − | 1.18777i | −0.977681 | − | 0.210093i | \(-0.932623\pi\) |
−0.210093 | − | 0.977681i | \(-0.567377\pi\) | |||||||
\(48\) | 3.46369 | − | 3.20712i | 0.499940 | − | 0.462908i | ||||
\(49\) | − | 4.06397i | − | 0.580567i | ||||||
\(50\) | 0.236559 | − | 7.06711i | 0.0334545 | − | 0.999440i | ||||
\(51\) | − | 1.85194i | − | 0.259323i | ||||||
\(52\) | 3.33036 | + | 6.39599i | 0.461838 | + | 0.886964i | ||||
\(53\) | −5.39849 | + | 5.39849i | −0.741540 | + | 0.741540i | −0.972874 | − | 0.231334i | \(-0.925691\pi\) |
0.231334 | + | 0.972874i | \(0.425691\pi\) | |||||||
\(54\) | 7.07541 | + | 3.01072i | 0.962841 | + | 0.409707i | ||||
\(55\) | 0.0628188 | − | 0.297241i | 0.00847048 | − | 0.0400800i | ||||
\(56\) | −1.72481 | − | 4.52915i | −0.230488 | − | 0.605234i | ||||
\(57\) | −5.10820 | + | 5.10820i | −0.676597 | + | 0.676597i | ||||
\(58\) | −5.76645 | + | 2.32387i | −0.757172 | + | 0.305139i | ||||
\(59\) | 5.47588i | 0.712899i | 0.934315 | + | 0.356449i | \(0.116013\pi\) | ||||
−0.934315 | + | 0.356449i | \(0.883987\pi\) | |||||||
\(60\) | 1.19031 | − | 5.14166i | 0.153668 | − | 0.663785i | ||||
\(61\) | 11.7875 | 1.50923 | 0.754616 | − | 0.656167i | \(-0.227823\pi\) | ||||
0.754616 | + | 0.656167i | \(0.227823\pi\) | |||||||
\(62\) | 1.64974 | + | 4.09366i | 0.209517 | + | 0.519895i | ||||
\(63\) | 1.94746 | − | 1.94746i | 0.245357 | − | 0.245357i | ||||
\(64\) | 5.32144 | + | 5.97346i | 0.665180 | + | 0.746683i | ||||
\(65\) | 7.09689 | + | 3.82547i | 0.880261 | + | 0.474491i | ||||
\(66\) | 0.0887836 | − | 0.208648i | 0.0109285 | − | 0.0256828i | ||||
\(67\) | −7.10562 | − | 7.10562i | −0.868089 | − | 0.868089i | 0.124172 | − | 0.992261i | \(-0.460373\pi\) |
−0.992261 | + | 0.124172i | \(0.960373\pi\) | |||||||
\(68\) | 3.13799 | + | 0.0603226i | 0.380537 | + | 0.00731519i | ||||
\(69\) | 7.89060i | 0.949917i | ||||||||
\(70\) | −4.43946 | − | 3.10668i | −0.530617 | − | 0.371320i | ||||
\(71\) | 4.49049 | 0.532923 | 0.266461 | − | 0.963846i | \(-0.414146\pi\) | ||||
0.266461 | + | 0.963846i | \(0.414146\pi\) | |||||||
\(72\) | −1.86011 | + | 4.14825i | −0.219217 | + | 0.488876i | ||||
\(73\) | −6.04423 | − | 6.04423i | −0.707424 | − | 0.707424i | 0.258569 | − | 0.965993i | \(-0.416749\pi\) |
−0.965993 | + | 0.258569i | \(0.916749\pi\) | |||||||
\(74\) | 11.7770 | + | 5.01132i | 1.36904 | + | 0.582554i | ||||
\(75\) | −2.12741 | − | 5.50372i | −0.245652 | − | 0.635515i | ||||
\(76\) | −8.48913 | − | 8.82190i | −0.973769 | − | 1.01194i | ||||
\(77\) | −0.164618 | − | 0.164618i | −0.0187600 | − | 0.0187600i | ||||
\(78\) | 4.64697 | + | 3.82298i | 0.526165 | + | 0.432868i | ||||
\(79\) | 0.944179 | 0.106228 | 0.0531142 | − | 0.998588i | \(-0.483085\pi\) | ||||
0.0531142 | + | 0.998588i | \(0.483085\pi\) | |||||||
\(80\) | 8.67344 | + | 2.18438i | 0.969720 | + | 0.244221i | ||||
\(81\) | 1.59452 | 0.177169 | ||||||||
\(82\) | 3.83681 | − | 1.54623i | 0.423705 | − | 0.170752i | ||||
\(83\) | 4.61273 | − | 4.61273i | 0.506313 | − | 0.506313i | −0.407079 | − | 0.913393i | \(-0.633453\pi\) |
0.913393 | + | 0.407079i | \(0.133453\pi\) | |||||||
\(84\) | −2.80420 | − | 2.91413i | −0.305964 | − | 0.317958i | ||||
\(85\) | 2.94069 | − | 1.91458i | 0.318962 | − | 0.207665i | ||||
\(86\) | −1.18686 | + | 2.78920i | −0.127982 | + | 0.300767i | ||||
\(87\) | −3.66845 | + | 3.66845i | −0.393299 | + | 0.393299i | ||||
\(88\) | 0.350649 | + | 0.157234i | 0.0373793 | + | 0.0167613i | ||||
\(89\) | −3.22796 | −0.342163 | −0.171082 | − | 0.985257i | \(-0.554726\pi\) | ||||
−0.171082 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(90\) | 0.884028 | + | 5.00535i | 0.0931847 | + | 0.527610i | ||||
\(91\) | 5.42386 | − | 2.95805i | 0.568575 | − | 0.310088i | ||||
\(92\) | −13.3701 | − | 0.257018i | −1.39393 | − | 0.0267960i | ||||
\(93\) | 2.60427 | + | 2.60427i | 0.270050 | + | 0.270050i | ||||
\(94\) | 6.37667 | − | 14.9857i | 0.657703 | − | 1.54565i | ||||
\(95\) | −13.3923 | − | 2.83032i | −1.37402 | − | 0.290384i | ||||
\(96\) | 6.03775 | + | 2.84800i | 0.616225 | + | 0.290673i | ||||
\(97\) | −2.31733 | + | 2.31733i | −0.235289 | + | 0.235289i | −0.814896 | − | 0.579607i | \(-0.803206\pi\) |
0.579607 | + | 0.814896i | \(0.303206\pi\) | |||||||
\(98\) | 5.33073 | − | 2.14827i | 0.538485 | − | 0.217009i | ||||
\(99\) | 0.218382i | 0.0219482i | ||||||||
\(100\) | 9.39500 | − | 3.42548i | 0.939500 | − | 0.342548i | ||||
\(101\) | 2.63267 | 0.261960 | 0.130980 | − | 0.991385i | \(-0.458188\pi\) | ||||
0.130980 | + | 0.991385i | \(0.458188\pi\) | |||||||
\(102\) | 2.42919 | − | 0.978961i | 0.240526 | − | 0.0969316i | ||||
\(103\) | −7.36490 | − | 7.36490i | −0.725685 | − | 0.725685i | 0.244072 | − | 0.969757i | \(-0.421517\pi\) |
−0.969757 | + | 0.244072i | \(0.921517\pi\) | |||||||
\(104\) | −6.62916 | + | 7.74946i | −0.650043 | + | 0.759897i | ||||
\(105\) | −4.42386 | − | 0.934936i | −0.431724 | − | 0.0912404i | ||||
\(106\) | −9.93494 | − | 4.22750i | −0.964967 | − | 0.410611i | ||||
\(107\) | −11.9158 | + | 11.9158i | −1.15194 | + | 1.15194i | −0.165780 | + | 0.986163i | \(0.553014\pi\) |
−0.986163 | + | 0.165780i | \(0.946986\pi\) | |||||||
\(108\) | −0.209003 | + | 10.8723i | −0.0201113 | + | 1.04619i | ||||
\(109\) | 1.57023 | 0.150401 | 0.0752004 | − | 0.997168i | \(-0.476040\pi\) | ||||
0.0752004 | + | 0.997168i | \(0.476040\pi\) | |||||||
\(110\) | 0.423099 | − | 0.0747264i | 0.0403409 | − | 0.00712488i | ||||
\(111\) | 10.6802 | 1.01372 | ||||||||
\(112\) | 5.02915 | − | 4.65662i | 0.475210 | − | 0.440010i | ||||
\(113\) | 0.755135 | − | 0.755135i | 0.0710371 | − | 0.0710371i | −0.670696 | − | 0.741733i | \(-0.734004\pi\) |
0.741733 | + | 0.670696i | \(0.234004\pi\) | |||||||
\(114\) | −9.40071 | − | 4.00017i | −0.880457 | − | 0.374651i | ||||
\(115\) | −12.5295 | + | 8.15750i | −1.16838 | + | 0.760691i | ||||
\(116\) | −6.09646 | − | 6.33544i | −0.566042 | − | 0.588231i | ||||
\(117\) | −5.55971 | − | 1.63557i | −0.513996 | − | 0.151208i | ||||
\(118\) | −7.18273 | + | 2.89463i | −0.661224 | + | 0.266472i | ||||
\(119\) | − | 2.68894i | − | 0.246495i | ||||||
\(120\) | 7.37354 | − | 1.15662i | 0.673109 | − | 0.105584i | ||||
\(121\) | −10.9815 | −0.998322 | ||||||||
\(122\) | 6.23103 | + | 15.4617i | 0.564131 | + | 1.39983i | ||||
\(123\) | 2.44087 | − | 2.44087i | 0.220085 | − | 0.220085i | ||||
\(124\) | −4.49759 | + | 4.32794i | −0.403896 | + | 0.388660i | ||||
\(125\) | 6.53999 | − | 9.06799i | 0.584955 | − | 0.811066i | ||||
\(126\) | 3.58395 | + | 1.52504i | 0.319284 | + | 0.135861i | ||||
\(127\) | 15.1631 | − | 15.1631i | 1.34551 | − | 1.34551i | 0.455037 | − | 0.890472i | \(-0.349626\pi\) |
0.890472 | − | 0.455037i | \(-0.150374\pi\) | |||||||
\(128\) | −5.02242 | + | 10.1378i | −0.443923 | + | 0.896065i | ||||
\(129\) | 2.52945i | 0.222706i | ||||||||
\(130\) | −1.26636 | + | 11.3312i | −0.111067 | + | 0.993813i | ||||
\(131\) | 0.235056i | 0.0205370i | 0.999947 | + | 0.0102685i | \(0.00326862\pi\) | ||||
−0.999947 | + | 0.0102685i | \(0.996731\pi\) | |||||||
\(132\) | 0.320617 | + | 0.00616333i | 0.0279061 | + | 0.000536449i | ||||
\(133\) | −7.41691 | + | 7.41691i | −0.643128 | + | 0.643128i | ||||
\(134\) | 5.56433 | − | 13.0766i | 0.480685 | − | 1.12965i | ||||
\(135\) | 6.63354 | + | 10.1888i | 0.570924 | + | 0.876908i | ||||
\(136\) | 1.57966 | + | 4.14800i | 0.135455 | + | 0.355688i | ||||
\(137\) | −12.2710 | + | 12.2710i | −1.04838 | + | 1.04838i | −0.0496147 | + | 0.998768i | \(0.515799\pi\) |
−0.998768 | + | 0.0496147i | \(0.984201\pi\) | |||||||
\(138\) | −10.3501 | + | 4.17109i | −0.881062 | + | 0.355067i | ||||
\(139\) | −19.6129 | −1.66354 | −0.831772 | − | 0.555117i | \(-0.812673\pi\) | ||||
−0.831772 | + | 0.555117i | \(0.812673\pi\) | |||||||
\(140\) | 1.72829 | − | 7.46549i | 0.146067 | − | 0.630949i | ||||
\(141\) | − | 13.5901i | − | 1.14449i | ||||||
\(142\) | 2.37374 | + | 5.89019i | 0.199200 | + | 0.494294i | ||||
\(143\) | −0.138254 | + | 0.469960i | −0.0115613 | + | 0.0393000i | ||||
\(144\) | −6.42456 | − | 0.247094i | −0.535380 | − | 0.0205912i | ||||
\(145\) | −9.61766 | − | 2.03259i | −0.798703 | − | 0.168797i | ||||
\(146\) | 4.73317 | − | 11.1233i | 0.391720 | − | 0.920572i | ||||
\(147\) | 3.39125 | − | 3.39125i | 0.279706 | − | 0.279706i | ||||
\(148\) | −0.347884 | + | 18.0969i | −0.0285959 | + | 1.48756i | ||||
\(149\) | −2.39818 | −0.196467 | −0.0982333 | − | 0.995163i | \(-0.531319\pi\) | ||||
−0.0982333 | + | 0.995163i | \(0.531319\pi\) | |||||||
\(150\) | 6.09468 | − | 5.69987i | 0.497628 | − | 0.465393i | ||||
\(151\) | −5.63264 | −0.458378 | −0.229189 | − | 0.973382i | \(-0.573607\pi\) | ||||
−0.229189 | + | 0.973382i | \(0.573607\pi\) | |||||||
\(152\) | 7.08424 | − | 15.7986i | 0.574608 | − | 1.28144i | ||||
\(153\) | −1.78357 | + | 1.78357i | −0.144193 | + | 0.144193i | ||||
\(154\) | 0.128911 | − | 0.302950i | 0.0103879 | − | 0.0244124i | ||||
\(155\) | −1.44296 | + | 6.82767i | −0.115901 | + | 0.548412i | ||||
\(156\) | −2.55817 | + | 8.11633i | −0.204817 | + | 0.649826i | ||||
\(157\) | −3.62360 | − | 3.62360i | −0.289195 | − | 0.289195i | 0.547567 | − | 0.836762i | \(-0.315554\pi\) |
−0.836762 | + | 0.547567i | \(0.815554\pi\) | |||||||
\(158\) | 0.499107 | + | 1.23848i | 0.0397068 | + | 0.0985284i | ||||
\(159\) | −9.00974 | −0.714519 | ||||||||
\(160\) | 1.71964 | + | 12.5317i | 0.135950 | + | 0.990716i | ||||
\(161\) | 11.4569i | 0.902927i | ||||||||
\(162\) | 0.842886 | + | 2.09154i | 0.0662233 | + | 0.164327i | ||||
\(163\) | 6.40798 | − | 6.40798i | 0.501911 | − | 0.501911i | −0.410120 | − | 0.912032i | \(-0.634513\pi\) |
0.912032 | + | 0.410120i | \(0.134513\pi\) | |||||||
\(164\) | 4.05639 | + | 4.21540i | 0.316751 | + | 0.329167i | ||||
\(165\) | 0.300458 | − | 0.195618i | 0.0233906 | − | 0.0152288i | ||||
\(166\) | 8.48890 | + | 3.61218i | 0.658866 | + | 0.280360i | ||||
\(167\) | −5.94641 | − | 5.94641i | −0.460147 | − | 0.460147i | 0.438556 | − | 0.898704i | \(-0.355490\pi\) |
−0.898704 | + | 0.438556i | \(0.855490\pi\) | |||||||
\(168\) | 2.34013 | − | 5.21874i | 0.180545 | − | 0.402634i | ||||
\(169\) | −10.9291 | − | 7.03951i | −0.840700 | − | 0.541501i | ||||
\(170\) | 4.06585 | + | 2.84524i | 0.311837 | + | 0.218220i | ||||
\(171\) | 9.83926 | 0.752427 | ||||||||
\(172\) | −4.28599 | − | 0.0823911i | −0.326804 | − | 0.00628226i | ||||
\(173\) | 8.64623 | − | 8.64623i | 0.657361 | − | 0.657361i | −0.297394 | − | 0.954755i | \(-0.596117\pi\) |
0.954755 | + | 0.297394i | \(0.0961175\pi\) | |||||||
\(174\) | −6.75111 | − | 2.87272i | −0.511800 | − | 0.217780i | ||||
\(175\) | −3.08891 | − | 7.99120i | −0.233500 | − | 0.604078i | ||||
\(176\) | −0.0208867 | + | 0.543064i | −0.00157440 | + | 0.0409350i | ||||
\(177\) | −4.56944 | + | 4.56944i | −0.343460 | + | 0.343460i | ||||
\(178\) | −1.70635 | − | 4.23413i | −0.127896 | − | 0.317361i | ||||
\(179\) | 12.7865 | 0.955706 | 0.477853 | − | 0.878440i | \(-0.341415\pi\) | ||||
0.477853 | + | 0.878440i | \(0.341415\pi\) | |||||||
\(180\) | −6.09822 | + | 3.80548i | −0.454535 | + | 0.283644i | ||||
\(181\) | −4.48458 | −0.333337 | −0.166668 | − | 0.986013i | \(-0.553301\pi\) | ||||
−0.166668 | + | 0.986013i | \(0.553301\pi\) | |||||||
\(182\) | 6.74722 | + | 5.55083i | 0.500138 | + | 0.411455i | ||||
\(183\) | 9.83627 | + | 9.83627i | 0.727118 | + | 0.727118i | ||||
\(184\) | −6.73051 | − | 17.6735i | −0.496180 | − | 1.30291i | ||||
\(185\) | 11.0415 | + | 16.9591i | 0.811786 | + | 1.24686i | ||||
\(186\) | −2.03937 | + | 4.79268i | −0.149534 | + | 0.351416i | ||||
\(187\) | 0.150764 | + | 0.150764i | 0.0110250 | + | 0.0110250i | ||||
\(188\) | 23.0275 | + | 0.442666i | 1.67946 | + | 0.0322848i | ||||
\(189\) | 9.31652 | 0.677677 | ||||||||
\(190\) | −3.36682 | − | 19.0629i | −0.244255 | − | 1.38296i | ||||
\(191\) | 23.2641i | 1.68333i | 0.540000 | + | 0.841665i | \(0.318424\pi\) | ||||
−0.540000 | + | 0.841665i | \(0.681576\pi\) | |||||||
\(192\) | −0.544090 | + | 9.42523i | −0.0392663 | + | 0.680208i | ||||
\(193\) | 0.896999 | + | 0.896999i | 0.0645674 | + | 0.0645674i | 0.738653 | − | 0.674086i | \(-0.235462\pi\) |
−0.674086 | + | 0.738653i | \(0.735462\pi\) | |||||||
\(194\) | −4.26463 | − | 1.81468i | −0.306182 | − | 0.130286i | ||||
\(195\) | 2.72990 | + | 9.11435i | 0.195492 | + | 0.652692i | ||||
\(196\) | 5.63580 | + | 5.85672i | 0.402557 | + | 0.418337i | ||||
\(197\) | 6.48712 | − | 6.48712i | 0.462188 | − | 0.462188i | −0.437184 | − | 0.899372i | \(-0.644024\pi\) |
0.899372 | + | 0.437184i | \(0.144024\pi\) | |||||||
\(198\) | −0.286452 | + | 0.115440i | −0.0203573 | + | 0.00820395i | ||||
\(199\) | −6.60481 | −0.468203 | −0.234101 | − | 0.972212i | \(-0.575215\pi\) | ||||
−0.234101 | + | 0.972212i | \(0.575215\pi\) | |||||||
\(200\) | 9.45955 | + | 10.5127i | 0.668891 | + | 0.743360i | ||||
\(201\) | − | 11.8588i | − | 0.836456i | ||||||
\(202\) | 1.39167 | + | 3.45328i | 0.0979173 | + | 0.242972i | ||||
\(203\) | −5.32645 | + | 5.32645i | −0.373843 | + | 0.373843i | ||||
\(204\) | 2.56821 | + | 2.66889i | 0.179811 | + | 0.186859i | ||||
\(205\) | 6.39928 | + | 1.35242i | 0.446945 | + | 0.0944571i | ||||
\(206\) | 5.76737 | − | 13.5538i | 0.401832 | − | 0.944335i | ||||
\(207\) | 7.59932 | − | 7.59932i | 0.528189 | − | 0.528189i | ||||
\(208\) | −13.6693 | − | 4.59902i | −0.947794 | − | 0.318885i | ||||
\(209\) | − | 0.831707i | − | 0.0575304i | ||||||
\(210\) | −1.11216 | − | 6.29701i | −0.0767462 | − | 0.434535i | ||||
\(211\) | − | 6.75732i | − | 0.465193i | −0.972573 | − | 0.232596i | \(-0.925278\pi\) | ||
0.972573 | − | 0.232596i | \(-0.0747221\pi\) | |||||||
\(212\) | 0.293472 | − | 15.2664i | 0.0201557 | − | 1.04850i | ||||
\(213\) | 3.74717 | + | 3.74717i | 0.256752 | + | 0.256752i | ||||
\(214\) | −21.9288 | − | 9.33112i | −1.49902 | − | 0.637862i | ||||
\(215\) | −4.01651 | + | 2.61501i | −0.273924 | + | 0.178342i | ||||
\(216\) | −14.3718 | + | 5.47313i | −0.977876 | + | 0.372399i | ||||
\(217\) | 3.78130 | + | 3.78130i | 0.256691 | + | 0.256691i | ||||
\(218\) | 0.830047 | + | 2.05968i | 0.0562179 | + | 0.139499i | ||||
\(219\) | − | 10.0874i | − | 0.681646i | ||||||
\(220\) | 0.321675 | + | 0.515479i | 0.0216873 | + | 0.0347536i | ||||
\(221\) | −4.96741 | + | 2.70912i | −0.334144 | + | 0.182235i | ||||
\(222\) | 5.64572 | + | 14.0093i | 0.378916 | + | 0.940241i | ||||
\(223\) | −4.45155 | + | 4.45155i | −0.298098 | + | 0.298098i | −0.840268 | − | 0.542171i | \(-0.817603\pi\) |
0.542171 | + | 0.840268i | \(0.317603\pi\) | |||||||
\(224\) | 8.76659 | + | 4.13519i | 0.585742 | + | 0.276294i | ||||
\(225\) | −3.25168 | + | 7.34943i | −0.216779 | + | 0.489962i | ||||
\(226\) | 1.38969 | + | 0.591338i | 0.0924407 | + | 0.0393352i | ||||
\(227\) | −8.81803 | − | 8.81803i | −0.585273 | − | 0.585273i | 0.351075 | − | 0.936348i | \(-0.385816\pi\) |
−0.936348 | + | 0.351075i | \(0.885816\pi\) | |||||||
\(228\) | 0.277691 | − | 14.4455i | 0.0183905 | − | 0.956676i | ||||
\(229\) | 29.3112 | 1.93694 | 0.968470 | − | 0.249129i | \(-0.0801442\pi\) | ||||
0.968470 | + | 0.249129i | \(0.0801442\pi\) | |||||||
\(230\) | −17.3235 | − | 12.1228i | −1.14228 | − | 0.799353i | ||||
\(231\) | − | 0.274737i | − | 0.0180764i | ||||||
\(232\) | 5.08754 | − | 11.3458i | 0.334014 | − | 0.744885i | ||||
\(233\) | 17.8139 | − | 17.8139i | 1.16703 | − | 1.16703i | 0.184122 | − | 0.982903i | \(-0.441056\pi\) |
0.982903 | − | 0.184122i | \(-0.0589443\pi\) | |||||||
\(234\) | −0.793566 | − | 8.15728i | −0.0518771 | − | 0.533258i | ||||
\(235\) | 21.5797 | − | 14.0498i | 1.40770 | − | 0.916507i | ||||
\(236\) | −7.59379 | − | 7.89147i | −0.494314 | − | 0.513691i | ||||
\(237\) | 0.787887 | + | 0.787887i | 0.0511787 | + | 0.0511787i | ||||
\(238\) | 3.52710 | − | 1.42141i | 0.228628 | − | 0.0921366i | ||||
\(239\) | 15.2637i | 0.987328i | 0.869653 | + | 0.493664i | \(0.164343\pi\) | ||||
−0.869653 | + | 0.493664i | \(0.835657\pi\) | |||||||
\(240\) | 5.41491 | + | 9.06050i | 0.349531 | + | 0.584853i | ||||
\(241\) | 12.6676i | 0.815990i | 0.912984 | + | 0.407995i | \(0.133772\pi\) | ||||
−0.912984 | + | 0.407995i | \(0.866228\pi\) | |||||||
\(242\) | −5.80500 | − | 14.4045i | −0.373160 | − | 0.925958i | ||||
\(243\) | −10.2034 | − | 10.2034i | −0.654550 | − | 0.654550i | ||||
\(244\) | −16.9873 | + | 16.3465i | −1.08750 | + | 1.04648i | ||||
\(245\) | 8.89093 | + | 1.87900i | 0.568021 | + | 0.120045i | ||||
\(246\) | 4.49197 | + | 1.91142i | 0.286398 | + | 0.121867i | ||||
\(247\) | 21.1742 | + | 6.22906i | 1.34728 | + | 0.396345i | ||||
\(248\) | −8.05446 | − | 3.61170i | −0.511459 | − | 0.229343i | ||||
\(249\) | 7.69836 | 0.487863 | ||||||||
\(250\) | 15.3517 | + | 3.78506i | 0.970924 | + | 0.239388i | ||||
\(251\) | 16.0887i | 1.01551i | 0.861501 | + | 0.507755i | \(0.169525\pi\) | ||||
−0.861501 | + | 0.507755i | \(0.830475\pi\) | |||||||
\(252\) | −0.105868 | + | 5.50724i | −0.00666903 | + | 0.346924i | ||||
\(253\) | −0.642366 | − | 0.642366i | −0.0403852 | − | 0.0403852i | ||||
\(254\) | 27.9050 | + | 11.8741i | 1.75091 | + | 0.745046i | ||||
\(255\) | 4.05156 | + | 0.856255i | 0.253719 | + | 0.0536208i | ||||
\(256\) | −15.9527 | − | 1.22893i | −0.997046 | − | 0.0768082i | ||||
\(257\) | −16.0293 | − | 16.0293i | −0.999880 | − | 0.999880i | 0.000120104 | − | 1.00000i | \(-0.499962\pi\) |
−1.00000 | 0.000120104i | \(0.999962\pi\) | ||||||||
\(258\) | −3.31789 | + | 1.33710i | −0.206563 | + | 0.0832445i | ||||
\(259\) | 15.5073 | 0.963576 | ||||||||
\(260\) | −15.5326 | + | 4.32876i | −0.963291 | + | 0.268458i | ||||
\(261\) | 7.06605 | 0.437378 | ||||||||
\(262\) | −0.308324 | + | 0.124254i | −0.0190483 | + | 0.00767645i | ||||
\(263\) | −1.00613 | − | 1.00613i | −0.0620408 | − | 0.0620408i | 0.675406 | − | 0.737446i | \(-0.263969\pi\) |
−0.737446 | + | 0.675406i | \(0.763969\pi\) | |||||||
\(264\) | 0.161398 | + | 0.423813i | 0.00993338 | + | 0.0260839i | ||||
\(265\) | −9.31449 | − | 14.3066i | −0.572185 | − | 0.878844i | ||||
\(266\) | −13.6495 | − | 5.80810i | −0.836903 | − | 0.356118i | ||||
\(267\) | −2.69363 | − | 2.69363i | −0.164848 | − | 0.164848i | ||||
\(268\) | 20.0940 | + | 0.386274i | 1.22744 | + | 0.0235954i | ||||
\(269\) | 19.2720i | 1.17504i | 0.809211 | + | 0.587519i | \(0.199895\pi\) | ||||
−0.809211 | + | 0.587519i | \(0.800105\pi\) | |||||||
\(270\) | −9.85804 | + | 14.0872i | −0.599941 | + | 0.857317i | ||||
\(271\) | −28.0613 | −1.70460 | −0.852301 | − | 0.523052i | \(-0.824793\pi\) | ||||
−0.852301 | + | 0.523052i | \(0.824793\pi\) | |||||||
\(272\) | −4.60591 | + | 4.26474i | −0.279274 | + | 0.258588i | ||||
\(273\) | 6.99444 | + | 2.05764i | 0.423323 | + | 0.124534i | ||||
\(274\) | −22.5826 | − | 9.60929i | −1.36426 | − | 0.580519i | ||||
\(275\) | 0.621243 | + | 0.274863i | 0.0374624 | + | 0.0165748i | ||||
\(276\) | −10.9425 | − | 11.3714i | −0.658659 | − | 0.684478i | ||||
\(277\) | 12.7073 | + | 12.7073i | 0.763505 | + | 0.763505i | 0.976954 | − | 0.213449i | \(-0.0684697\pi\) |
−0.213449 | + | 0.976954i | \(0.568470\pi\) | |||||||
\(278\) | −10.3677 | − | 25.7263i | −0.621811 | − | 1.54296i | ||||
\(279\) | − | 5.01626i | − | 0.300316i | ||||||
\(280\) | 10.7061 | − | 1.67937i | 0.639813 | − | 0.100362i | ||||
\(281\) | − | 17.4196i | − | 1.03917i | −0.854420 | − | 0.519583i | \(-0.826087\pi\) | ||
0.854420 | − | 0.519583i | \(-0.173913\pi\) | |||||||
\(282\) | 17.8262 | − | 7.18392i | 1.06153 | − | 0.427796i | ||||
\(283\) | 10.9442 | + | 10.9442i | 0.650568 | + | 0.650568i | 0.953130 | − | 0.302562i | \(-0.0978420\pi\) |
−0.302562 | + | 0.953130i | \(0.597842\pi\) | |||||||
\(284\) | −6.47139 | + | 6.22728i | −0.384006 | + | 0.369521i | ||||
\(285\) | −8.81362 | − | 13.5372i | −0.522074 | − | 0.801877i | ||||
\(286\) | −0.689531 | + | 0.0670797i | −0.0407728 | + | 0.00396651i | ||||
\(287\) | 3.54405 | − | 3.54405i | 0.209199 | − | 0.209199i | ||||
\(288\) | −3.07200 | − | 8.55773i | −0.181019 | − | 0.504269i | ||||
\(289\) | − | 14.5373i | − | 0.855138i | ||||||
\(290\) | −2.41788 | − | 13.6900i | −0.141983 | − | 0.803903i | ||||
\(291\) | −3.86748 | −0.226716 | ||||||||
\(292\) | 17.0925 | + | 0.328575i | 1.00026 | + | 0.0192284i | ||||
\(293\) | −1.56341 | − | 1.56341i | −0.0913353 | − | 0.0913353i | 0.659963 | − | 0.751298i | \(-0.270572\pi\) |
−0.751298 | + | 0.659963i | \(0.770572\pi\) | |||||||
\(294\) | 6.24099 | + | 2.65565i | 0.363982 | + | 0.154881i | ||||
\(295\) | −11.9798 | − | 2.53181i | −0.697492 | − | 0.147408i | ||||
\(296\) | −23.9217 | + | 9.10999i | −1.39042 | + | 0.529507i | ||||
\(297\) | −0.522361 | + | 0.522361i | −0.0303105 | + | 0.0303105i | ||||
\(298\) | −1.26771 | − | 3.14570i | −0.0734366 | − | 0.182226i | ||||
\(299\) | 21.1648 | − | 11.5428i | 1.22399 | − | 0.667538i | ||||
\(300\) | 10.6983 | + | 4.98137i | 0.617666 | + | 0.287600i | ||||
\(301\) | 3.67267i | 0.211689i | ||||||||
\(302\) | −2.97750 | − | 7.38836i | −0.171336 | − | 0.425152i | ||||
\(303\) | 2.19688 | + | 2.19688i | 0.126207 | + | 0.126207i | ||||
\(304\) | 24.4679 | + | 0.941058i | 1.40333 | + | 0.0539734i | ||||
\(305\) | −5.45002 | + | 25.7880i | −0.312067 | + | 1.47662i | ||||
\(306\) | −3.28234 | − | 1.39670i | −0.187639 | − | 0.0798438i | ||||
\(307\) | 12.1227 | + | 12.1227i | 0.691877 | + | 0.691877i | 0.962645 | − | 0.270768i | \(-0.0872775\pi\) |
−0.270768 | + | 0.962645i | \(0.587277\pi\) | |||||||
\(308\) | 0.465524 | + | 0.00894893i | 0.0265257 | + | 0.000509913i | ||||
\(309\) | − | 12.2915i | − | 0.699241i | ||||||
\(310\) | −9.71865 | + | 1.71648i | −0.551982 | + | 0.0974893i | ||||
\(311\) | 18.9025i | 1.07186i | 0.844261 | + | 0.535932i | \(0.180040\pi\) | ||||
−0.844261 | + | 0.535932i | \(0.819960\pi\) | |||||||
\(312\) | −11.9985 | + | 0.934853i | −0.679281 | + | 0.0529256i | ||||
\(313\) | 5.87564 | − | 5.87564i | 0.332111 | − | 0.332111i | −0.521277 | − | 0.853388i | \(-0.674544\pi\) |
0.853388 | + | 0.521277i | \(0.174544\pi\) | |||||||
\(314\) | 2.83760 | − | 6.66858i | 0.160135 | − | 0.376330i | ||||
\(315\) | 3.36013 | + | 5.16098i | 0.189322 | + | 0.290788i | ||||
\(316\) | −1.36069 | + | 1.30936i | −0.0765446 | + | 0.0736572i | ||||
\(317\) | 10.2637 | − | 10.2637i | 0.576467 | − | 0.576467i | −0.357461 | − | 0.933928i | \(-0.616357\pi\) |
0.933928 | + | 0.357461i | \(0.116357\pi\) | |||||||
\(318\) | −4.76268 | − | 11.8181i | −0.267078 | − | 0.662726i | ||||
\(319\) | − | 0.597290i | − | 0.0334418i | ||||||
\(320\) | −15.5288 | + | 8.88009i | −0.868087 | + | 0.496412i | ||||
\(321\) | −19.8867 | −1.10997 | ||||||||
\(322\) | −15.0280 | + | 6.05626i | −0.837478 | + | 0.337502i | ||||
\(323\) | 6.79273 | − | 6.79273i | 0.377958 | − | 0.377958i | ||||
\(324\) | −2.29791 | + | 2.21123i | −0.127662 | + | 0.122846i | ||||
\(325\) | −11.6504 | + | 13.7574i | −0.646250 | + | 0.763126i | ||||
\(326\) | 11.7927 | + | 5.01802i | 0.653138 | + | 0.277922i | ||||
\(327\) | 1.31031 | + | 1.31031i | 0.0724602 | + | 0.0724602i | ||||
\(328\) | −3.38509 | + | 7.54910i | −0.186910 | + | 0.416829i | ||||
\(329\) | − | 19.7323i | − | 1.08788i | ||||||
\(330\) | 0.415419 | + | 0.290706i | 0.0228681 | + | 0.0160028i | ||||
\(331\) | 16.3191 | 0.896980 | 0.448490 | − | 0.893788i | \(-0.351962\pi\) | ||||
0.448490 | + | 0.893788i | \(0.351962\pi\) | |||||||
\(332\) | −0.250756 | + | 13.0444i | −0.0137620 | + | 0.715903i | ||||
\(333\) | −10.2860 | − | 10.2860i | −0.563667 | − | 0.563667i | ||||
\(334\) | 4.65657 | − | 10.9433i | 0.254796 | − | 0.598790i | ||||
\(335\) | 18.8306 | − | 12.2599i | 1.02883 | − | 0.669832i | ||||
\(336\) | 8.08246 | + | 0.310859i | 0.440934 | + | 0.0169587i | ||||
\(337\) | 14.5265 | + | 14.5265i | 0.791309 | + | 0.791309i | 0.981707 | − | 0.190398i | \(-0.0609779\pi\) |
−0.190398 | + | 0.981707i | \(0.560978\pi\) | |||||||
\(338\) | 3.45647 | − | 18.0569i | 0.188007 | − | 0.982168i | ||||
\(339\) | 1.26027 | 0.0684485 | ||||||||
\(340\) | −1.58284 | + | 6.83723i | −0.0858416 | + | 0.370801i | ||||
\(341\) | −0.424022 | −0.0229621 | ||||||||
\(342\) | 5.20117 | + | 12.9062i | 0.281247 | + | 0.697887i | ||||
\(343\) | 13.4053 | − | 13.4053i | 0.723818 | − | 0.723818i | ||||
\(344\) | −2.15757 | − | 5.66551i | −0.116328 | − | 0.305464i | ||||
\(345\) | −17.2626 | − | 3.64827i | −0.929388 | − | 0.196416i | ||||
\(346\) | 15.9118 | + | 6.77077i | 0.855425 | + | 0.363999i | ||||
\(347\) | −7.03773 | + | 7.03773i | −0.377805 | + | 0.377805i | −0.870310 | − | 0.492505i | \(-0.836081\pi\) |
0.492505 | + | 0.870310i | \(0.336081\pi\) | |||||||
\(348\) | 0.199423 | − | 10.3740i | 0.0106902 | − | 0.556106i | ||||
\(349\) | −19.3224 | −1.03430 | −0.517152 | − | 0.855894i | \(-0.673008\pi\) | ||||
−0.517152 | + | 0.855894i | \(0.673008\pi\) | |||||||
\(350\) | 8.84925 | − | 8.27601i | 0.473012 | − | 0.442371i | ||||
\(351\) | −9.38641 | − | 17.2108i | −0.501010 | − | 0.918647i | ||||
\(352\) | −0.723380 | + | 0.259674i | −0.0385563 | + | 0.0138407i | ||||
\(353\) | 1.78993 | + | 1.78993i | 0.0952685 | + | 0.0952685i | 0.753135 | − | 0.657866i | \(-0.228541\pi\) |
−0.657866 | + | 0.753135i | \(0.728541\pi\) | |||||||
\(354\) | −8.40923 | − | 3.57828i | −0.446946 | − | 0.190184i | ||||
\(355\) | −2.07621 | + | 9.82404i | −0.110194 | + | 0.521406i | ||||
\(356\) | 4.65192 | − | 4.47645i | 0.246551 | − | 0.237251i | ||||
\(357\) | 2.24384 | − | 2.24384i | 0.118756 | − | 0.118756i | ||||
\(358\) | 6.75912 | + | 16.7721i | 0.357230 | + | 0.886431i | ||||
\(359\) | 7.57948i | 0.400029i | 0.979793 | + | 0.200015i | \(0.0640990\pi\) | ||||
−0.979793 | + | 0.200015i | \(0.935901\pi\) | |||||||
\(360\) | −8.21527 | − | 5.98743i | −0.432983 | − | 0.315565i | ||||
\(361\) | −18.4728 | −0.972252 | ||||||||
\(362\) | −2.37062 | − | 5.88245i | −0.124597 | − | 0.309175i | ||||
\(363\) | −9.16374 | − | 9.16374i | −0.480972 | − | 0.480972i | ||||
\(364\) | −3.71436 | + | 11.7846i | −0.194686 | + | 0.617681i | ||||
\(365\) | 16.0178 | − | 10.4286i | 0.838411 | − | 0.545860i | ||||
\(366\) | −7.70268 | + | 18.1019i | −0.402625 | + | 0.946200i | ||||
\(367\) | −25.0286 | + | 25.0286i | −1.30648 | + | 1.30648i | −0.382544 | + | 0.923937i | \(0.624952\pi\) |
−0.923937 | + | 0.382544i | \(0.875048\pi\) | |||||||
\(368\) | 19.6245 | − | 18.1709i | 1.02300 | − | 0.947224i | ||||
\(369\) | −4.70152 | −0.244752 | ||||||||
\(370\) | −16.4086 | + | 23.4480i | −0.853044 | + | 1.21900i | ||||
\(371\) | −13.0818 | −0.679173 | ||||||||
\(372\) | −7.36462 | − | 0.141573i | −0.381838 | − | 0.00734020i | ||||
\(373\) | −12.9400 | + | 12.9400i | −0.670007 | + | 0.670007i | −0.957717 | − | 0.287711i | \(-0.907106\pi\) |
0.287711 | + | 0.957717i | \(0.407106\pi\) | |||||||
\(374\) | −0.118062 | + | 0.277454i | −0.00610484 | + | 0.0143468i | ||||
\(375\) | 13.0244 | − | 2.10954i | 0.672575 | − | 0.108936i | ||||
\(376\) | 11.5920 | + | 30.4393i | 0.597814 | + | 1.56979i | ||||
\(377\) | 15.2062 | + | 4.47339i | 0.783159 | + | 0.230391i | ||||
\(378\) | 4.92485 | + | 12.2205i | 0.253307 | + | 0.628555i | ||||
\(379\) | 25.4640i | 1.30800i | 0.756495 | + | 0.653999i | \(0.226910\pi\) | ||||
−0.756495 | + | 0.653999i | \(0.773090\pi\) | |||||||
\(380\) | 23.2251 | − | 14.4932i | 1.19142 | − | 0.743484i | ||||
\(381\) | 25.3063 | 1.29648 | ||||||||
\(382\) | −30.5156 | + | 12.2977i | −1.56131 | + | 0.629207i | ||||
\(383\) | −23.7178 | + | 23.7178i | −1.21192 | + | 1.21192i | −0.241528 | + | 0.970394i | \(0.577649\pi\) |
−0.970394 | + | 0.241528i | \(0.922351\pi\) | |||||||
\(384\) | −12.6507 | + | 4.26863i | −0.645580 | + | 0.217833i | ||||
\(385\) | 0.436254 | − | 0.284030i | 0.0222336 | − | 0.0144755i | ||||
\(386\) | −0.702430 | + | 1.65076i | −0.0357528 | + | 0.0840217i | ||||
\(387\) | 2.43608 | − | 2.43608i | 0.123833 | − | 0.123833i | ||||
\(388\) | 0.125974 | − | 6.55319i | 0.00639537 | − | 0.332688i | ||||
\(389\) | 27.0309i | 1.37052i | 0.728297 | + | 0.685262i | \(0.240312\pi\) | ||||
−0.728297 | + | 0.685262i | \(0.759688\pi\) | |||||||
\(390\) | −10.5123 | + | 8.39879i | −0.532309 | + | 0.425289i | ||||
\(391\) | − | 10.4927i | − | 0.530638i | ||||||
\(392\) | −4.70312 | + | 10.4884i | −0.237543 | + | 0.529747i | ||||
\(393\) | −0.196147 | + | 0.196147i | −0.00989431 | + | 0.00989431i | ||||
\(394\) | 11.9384 | + | 5.07999i | 0.601446 | + | 0.255926i | ||||
\(395\) | −0.436547 | + | 2.06562i | −0.0219651 | + | 0.103933i | ||||
\(396\) | −0.302846 | − | 0.314717i | −0.0152186 | − | 0.0158151i | ||||
\(397\) | 9.49107 | − | 9.49107i | 0.476343 | − | 0.476343i | −0.427617 | − | 0.903960i | \(-0.640647\pi\) |
0.903960 | + | 0.427617i | \(0.140647\pi\) | |||||||
\(398\) | −3.49140 | − | 8.66356i | −0.175008 | − | 0.434265i | ||||
\(399\) | −12.3783 | −0.619693 | ||||||||
\(400\) | −8.78909 | + | 17.9653i | −0.439455 | + | 0.898265i | ||||
\(401\) | 16.6170i | 0.829811i | 0.909864 | + | 0.414906i | \(0.136185\pi\) | ||||
−0.909864 | + | 0.414906i | \(0.863815\pi\) | |||||||
\(402\) | 15.5553 | − | 6.26874i | 0.775825 | − | 0.312656i | ||||
\(403\) | 3.17571 | − | 10.7950i | 0.158193 | − | 0.537739i | ||||
\(404\) | −3.79403 | + | 3.65091i | −0.188760 | + | 0.181640i | ||||
\(405\) | −0.737236 | + | 3.48840i | −0.0366336 | + | 0.173340i | ||||
\(406\) | −9.80236 | − | 4.17108i | −0.486483 | − | 0.207007i | ||||
\(407\) | −0.869466 | + | 0.869466i | −0.0430978 | + | 0.0430978i | ||||
\(408\) | −2.14319 | + | 4.77955i | −0.106104 | + | 0.236623i | ||||
\(409\) | −9.84810 | −0.486957 | −0.243479 | − | 0.969906i | \(-0.578289\pi\) | ||||
−0.243479 | + | 0.969906i | \(0.578289\pi\) | |||||||
\(410\) | 1.60878 | + | 9.10887i | 0.0794519 | + | 0.449855i | ||||
\(411\) | −20.4795 | −1.01018 | ||||||||
\(412\) | 20.8272 | + | 0.400369i | 1.02608 | + | 0.0197248i | ||||
\(413\) | −6.63466 | + | 6.63466i | −0.326470 | + | 0.326470i | ||||
\(414\) | 13.9852 | + | 5.95095i | 0.687334 | + | 0.292473i | ||||
\(415\) | 7.95876 | + | 12.2242i | 0.390680 | + | 0.600063i | ||||
\(416\) | −1.19322 | − | 20.3611i | −0.0585026 | − | 0.998287i | ||||
\(417\) | −16.3663 | − | 16.3663i | −0.801463 | − | 0.801463i | ||||
\(418\) | 1.09095 | − | 0.439652i | 0.0533603 | − | 0.0215041i | ||||
\(419\) | −35.8407 | −1.75093 | −0.875466 | − | 0.483279i | \(-0.839446\pi\) | ||||
−0.875466 | + | 0.483279i | \(0.839446\pi\) | |||||||
\(420\) | 7.67191 | − | 4.78751i | 0.374351 | − | 0.233607i | ||||
\(421\) | 29.4970i | 1.43760i | 0.695218 | + | 0.718799i | \(0.255308\pi\) | ||||
−0.695218 | + | 0.718799i | \(0.744692\pi\) | |||||||
\(422\) | 8.86360 | − | 3.57202i | 0.431473 | − | 0.173883i | ||||
\(423\) | −13.0884 | + | 13.0884i | −0.636381 | + | 0.636381i | ||||
\(424\) | 20.1802 | − | 7.68511i | 0.980035 | − | 0.373222i | ||||
\(425\) | 2.82896 | + | 7.31869i | 0.137225 | + | 0.355009i | ||||
\(426\) | −2.93437 | + | 6.89598i | −0.142170 | + | 0.334111i | ||||
\(427\) | 14.2819 | + | 14.2819i | 0.691150 | + | 0.691150i | ||||
\(428\) | 0.647763 | − | 33.6967i | 0.0313108 | − | 1.62879i | ||||
\(429\) | −0.507534 | + | 0.276798i | −0.0245040 | + | 0.0133639i | ||||
\(430\) | −5.55331 | − | 3.88614i | −0.267804 | − | 0.187406i | ||||
\(431\) | 19.7901 | 0.953253 | 0.476627 | − | 0.879106i | \(-0.341859\pi\) | ||||
0.476627 | + | 0.879106i | \(0.341859\pi\) | |||||||
\(432\) | −14.7763 | − | 15.9583i | −0.710923 | − | 0.767796i | ||||
\(433\) | −2.28416 | + | 2.28416i | −0.109770 | + | 0.109770i | −0.759858 | − | 0.650089i | \(-0.774732\pi\) |
0.650089 | + | 0.759858i | \(0.274732\pi\) | |||||||
\(434\) | −2.96110 | + | 6.95880i | −0.142137 | + | 0.334033i | ||||
\(435\) | −6.32949 | − | 9.72176i | −0.303476 | − | 0.466122i | ||||
\(436\) | −2.26291 | + | 2.17755i | −0.108374 | + | 0.104286i | ||||
\(437\) | −28.9420 | + | 28.9420i | −1.38448 | + | 1.38448i | ||||
\(438\) | 13.2317 | − | 5.33237i | 0.632236 | − | 0.254790i | ||||
\(439\) | −6.80513 | −0.324791 | −0.162396 | − | 0.986726i | \(-0.551922\pi\) | ||||
−0.162396 | + | 0.986726i | \(0.551922\pi\) | |||||||
\(440\) | −0.506114 | + | 0.694432i | −0.0241280 | + | 0.0331058i | ||||
\(441\) | −6.53213 | −0.311054 | ||||||||
\(442\) | −6.17940 | − | 5.08369i | −0.293924 | − | 0.241807i | ||||
\(443\) | −15.2445 | − | 15.2445i | −0.724286 | − | 0.724286i | 0.245189 | − | 0.969475i | \(-0.421150\pi\) |
−0.969475 | + | 0.245189i | \(0.921150\pi\) | |||||||
\(444\) | −15.3916 | + | 14.8110i | −0.730454 | + | 0.702900i | ||||
\(445\) | 1.49247 | − | 7.06196i | 0.0707499 | − | 0.334769i | ||||
\(446\) | −8.19227 | − | 3.48596i | −0.387915 | − | 0.165065i | ||||
\(447\) | −2.00120 | − | 2.00120i | −0.0946537 | − | 0.0946537i | ||||
\(448\) | −0.789998 | + | 13.6851i | −0.0373239 | + | 0.646560i | ||||
\(449\) | 8.62094 | 0.406847 | 0.203424 | − | 0.979091i | \(-0.434793\pi\) | ||||
0.203424 | + | 0.979091i | \(0.434793\pi\) | |||||||
\(450\) | −11.3592 | − | 0.380228i | −0.535476 | − | 0.0179241i | ||||
\(451\) | 0.397417i | 0.0187136i | ||||||||
\(452\) | −0.0410505 | + | 2.13545i | −0.00193085 | + | 0.100443i | ||||
\(453\) | −4.70026 | − | 4.70026i | −0.220837 | − | 0.220837i | ||||
\(454\) | 6.90530 | − | 16.2280i | 0.324082 | − | 0.761617i | ||||
\(455\) | 3.96371 | + | 13.2337i | 0.185822 | + | 0.620406i | ||||
\(456\) | 19.0950 | − | 7.27185i | 0.894205 | − | 0.340536i | ||||
\(457\) | 15.8492 | − | 15.8492i | 0.741395 | − | 0.741395i | −0.231452 | − | 0.972846i | \(-0.574347\pi\) |
0.972846 | + | 0.231452i | \(0.0743475\pi\) | |||||||
\(458\) | 15.4943 | + | 38.4477i | 0.724003 | + | 1.79654i | ||||
\(459\) | −8.53248 | −0.398262 | ||||||||
\(460\) | 6.74405 | − | 29.1316i | 0.314443 | − | 1.35827i | ||||
\(461\) | − | 31.2187i | − | 1.45400i | −0.686638 | − | 0.726999i | \(-0.740914\pi\) | ||
0.686638 | − | 0.726999i | \(-0.259086\pi\) | |||||||
\(462\) | 0.360373 | − | 0.145230i | 0.0167661 | − | 0.00675671i | ||||
\(463\) | 17.2870 | − | 17.2870i | 0.803396 | − | 0.803396i | −0.180229 | − | 0.983625i | \(-0.557684\pi\) |
0.983625 | + | 0.180229i | \(0.0576839\pi\) | |||||||
\(464\) | 17.5716 | + | 0.675820i | 0.815742 | + | 0.0313742i | ||||
\(465\) | −6.90157 | + | 4.49337i | −0.320053 | + | 0.208375i | ||||
\(466\) | 32.7832 | + | 13.9499i | 1.51865 | + | 0.646214i | ||||
\(467\) | −3.44862 | + | 3.44862i | −0.159583 | + | 0.159583i | −0.782382 | − | 0.622799i | \(-0.785995\pi\) |
0.622799 | + | 0.782382i | \(0.285995\pi\) | |||||||
\(468\) | 10.2804 | − | 5.35298i | 0.475214 | − | 0.247442i | ||||
\(469\) | − | 17.2186i | − | 0.795079i | ||||||
\(470\) | 29.8365 | + | 20.8792i | 1.37625 | + | 0.963088i | ||||
\(471\) | − | 6.04756i | − | 0.278657i | ||||||
\(472\) | 6.33708 | − | 14.1324i | 0.291688 | − | 0.650494i | ||||
\(473\) | −0.205920 | − | 0.205920i | −0.00946822 | − | 0.00946822i | ||||
\(474\) | −0.616985 | + | 1.44996i | −0.0283391 | + | 0.0665990i | ||||
\(475\) | 12.3840 | − | 27.9903i | 0.568218 | − | 1.28428i | ||||
\(476\) | 3.72895 | + | 3.87513i | 0.170916 | + | 0.177616i | ||||
\(477\) | 8.67714 | + | 8.67714i | 0.397299 | + | 0.397299i | ||||
\(478\) | −20.0215 | + | 8.06863i | −0.915761 | + | 0.369050i | ||||
\(479\) | − | 30.8029i | − | 1.40742i | −0.710488 | − | 0.703710i | \(-0.751526\pi\) | ||
0.710488 | − | 0.703710i | \(-0.248474\pi\) | |||||||
\(480\) | −9.02229 | + | 11.8923i | −0.411809 | + | 0.542805i | ||||
\(481\) | −15.6236 | − | 28.6473i | −0.712376 | − | 1.30621i | ||||
\(482\) | −16.6161 | + | 6.69626i | −0.756843 | + | 0.305006i | ||||
\(483\) | −9.56038 | + | 9.56038i | −0.435012 | + | 0.435012i | ||||
\(484\) | 15.8259 | − | 15.2289i | 0.719357 | − | 0.692222i | ||||
\(485\) | −3.99830 | − | 6.14116i | −0.181553 | − | 0.278856i | ||||
\(486\) | 7.99019 | − | 18.7775i | 0.362442 | − | 0.851767i | ||||
\(487\) | 21.5008 | + | 21.5008i | 0.974296 | + | 0.974296i | 0.999678 | − | 0.0253815i | \(-0.00808004\pi\) |
−0.0253815 | + | 0.999678i | \(0.508080\pi\) | |||||||
\(488\) | −30.4216 | − | 13.6413i | −1.37712 | − | 0.617514i | ||||
\(489\) | 10.6945 | 0.483622 | ||||||||
\(490\) | 2.23518 | + | 12.6555i | 0.100975 | + | 0.571719i | ||||
\(491\) | − | 31.4355i | − | 1.41866i | −0.704875 | − | 0.709332i | \(-0.748997\pi\) | ||
0.704875 | − | 0.709332i | \(-0.251003\pi\) | |||||||
\(492\) | −0.132690 | + | 6.90254i | −0.00598212 | + | 0.311190i | ||||
\(493\) | 4.87820 | − | 4.87820i | 0.219703 | − | 0.219703i | ||||
\(494\) | 3.02230 | + | 31.0670i | 0.135980 | + | 1.39777i | ||||
\(495\) | −0.477764 | − | 0.100970i | −0.0214739 | − | 0.00453828i | ||||
\(496\) | 0.479772 | − | 12.4743i | 0.0215424 | − | 0.560111i | ||||
\(497\) | 5.44075 | + | 5.44075i | 0.244051 | + | 0.244051i | ||||
\(498\) | 4.06946 | + | 10.0980i | 0.182357 | + | 0.452500i | ||||
\(499\) | − | 30.8204i | − | 1.37971i | −0.723948 | − | 0.689855i | \(-0.757674\pi\) | ||
0.723948 | − | 0.689855i | \(-0.242326\pi\) | |||||||
\(500\) | 3.15024 | + | 22.1377i | 0.140883 | + | 0.990026i | ||||
\(501\) | − | 9.92418i | − | 0.443380i | ||||||
\(502\) | −21.1036 | + | 8.50473i | −0.941901 | + | 0.379585i | ||||
\(503\) | −15.7158 | − | 15.7158i | −0.700733 | − | 0.700733i | 0.263835 | − | 0.964568i | \(-0.415013\pi\) |
−0.964568 | + | 0.263835i | \(0.915013\pi\) | |||||||
\(504\) | −7.27983 | + | 2.77234i | −0.324270 | + | 0.123490i | ||||
\(505\) | −1.21723 | + | 5.75961i | −0.0541661 | + | 0.256299i | ||||
\(506\) | 0.503030 | − | 1.18216i | 0.0223624 | − | 0.0525534i | ||||
\(507\) | −3.24574 | − | 14.9942i | −0.144148 | − | 0.665917i | ||||
\(508\) | −0.824294 | + | 42.8799i | −0.0365722 | + | 1.90249i | ||||
\(509\) | −38.9696 | −1.72730 | −0.863649 | − | 0.504093i | \(-0.831827\pi\) | ||||
−0.863649 | + | 0.504093i | \(0.831827\pi\) | |||||||
\(510\) | 1.01856 | + | 5.76708i | 0.0451027 | + | 0.255371i | ||||
\(511\) | − | 14.6466i | − | 0.647927i | ||||||
\(512\) | −6.82085 | − | 21.5749i | −0.301442 | − | 0.953485i | ||||
\(513\) | 23.5351 | + | 23.5351i | 1.03910 | + | 1.03910i | ||||
\(514\) | 12.5524 | − | 29.4990i | 0.553661 | − | 1.30115i | ||||
\(515\) | 19.5177 | − | 12.7073i | 0.860054 | − | 0.559951i | ||||
\(516\) | −3.50777 | − | 3.64528i | −0.154421 | − | 0.160474i | ||||
\(517\) | 1.10636 | + | 1.10636i | 0.0486575 | + | 0.0486575i | ||||
\(518\) | 8.19738 | + | 20.3410i | 0.360172 | + | 0.893730i | ||||
\(519\) | 14.4300 | 0.633407 | ||||||||
\(520\) | −13.8888 | − | 18.0859i | −0.609064 | − | 0.793121i | ||||
\(521\) | 6.74679 | 0.295582 | 0.147791 | − | 0.989019i | \(-0.452784\pi\) | ||||
0.147791 | + | 0.989019i | \(0.452784\pi\) | |||||||
\(522\) | 3.73522 | + | 9.26857i | 0.163486 | + | 0.405674i | ||||
\(523\) | 17.7325 | + | 17.7325i | 0.775387 | + | 0.775387i | 0.979043 | − | 0.203655i | \(-0.0652822\pi\) |
−0.203655 | + | 0.979043i | \(0.565282\pi\) | |||||||
\(524\) | −0.325970 | − | 0.338748i | −0.0142400 | − | 0.0147983i | ||||
\(525\) | 4.09080 | − | 9.24600i | 0.178537 | − | 0.403529i | ||||
\(526\) | 0.787892 | − | 1.85161i | 0.0343537 | − | 0.0807338i | ||||
\(527\) | −3.46308 | − | 3.46308i | −0.150854 | − | 0.150854i | ||||
\(528\) | −0.470599 | + | 0.435740i | −0.0204802 | + | 0.0189632i | ||||
\(529\) | 21.7065i | 0.943763i | ||||||||
\(530\) | 13.8422 | − | 19.7805i | 0.601266 | − | 0.859210i | ||||
\(531\) | 8.80153 | 0.381954 | ||||||||
\(532\) | 0.403197 | − | 20.9743i | 0.0174808 | − | 0.909352i | ||||
\(533\) | −10.1177 | − | 2.97645i | −0.438247 | − | 0.128924i | ||||
\(534\) | 2.10935 | − | 4.95714i | 0.0912806 | − | 0.214516i | ||||
\(535\) | −20.5594 | − | 31.5780i | −0.888858 | − | 1.36524i | ||||
\(536\) | 10.1153 | + | 26.5616i | 0.436915 | + | 1.14729i | ||||
\(537\) | 10.6699 | + | 10.6699i | 0.460440 | + | 0.460440i | ||||
\(538\) | −25.2792 | + | 10.1875i | −1.08986 | + | 0.439214i | ||||
\(539\) | 0.552157i | 0.0237831i | ||||||||
\(540\) | −23.6893 | − | 5.48415i | −1.01942 | − | 0.236000i | ||||
\(541\) | 31.9567i | 1.37393i | 0.726692 | + | 0.686963i | \(0.241057\pi\) | ||||
−0.726692 | + | 0.686963i | \(0.758943\pi\) | |||||||
\(542\) | −14.8336 | − | 36.8081i | −0.637158 | − | 1.58104i | ||||
\(543\) | −3.74224 | − | 3.74224i | −0.160595 | − | 0.160595i | ||||
\(544\) | −8.02883 | − | 3.78719i | −0.344233 | − | 0.162374i | ||||
\(545\) | −0.726007 | + | 3.43527i | −0.0310987 | + | 0.147151i | ||||
\(546\) | 0.998352 | + | 10.2623i | 0.0427255 | + | 0.439187i | ||||
\(547\) | −6.16147 | + | 6.16147i | −0.263445 | + | 0.263445i | −0.826452 | − | 0.563007i | \(-0.809644\pi\) |
0.563007 | + | 0.826452i | \(0.309644\pi\) | |||||||
\(548\) | 0.667074 | − | 34.7012i | 0.0284960 | − | 1.48236i | ||||
\(549\) | − | 18.9463i | − | 0.808610i | ||||||
\(550\) | −0.0321405 | + | 0.960183i | −0.00137047 | + | 0.0409423i | ||||
\(551\) | −26.9111 | −1.14645 | ||||||||
\(552\) | 9.13157 | − | 20.3644i | 0.388666 | − | 0.866765i | ||||
\(553\) | 1.14398 | + | 1.14398i | 0.0486471 | + | 0.0486471i | ||||
\(554\) | −9.95092 | + | 23.3854i | −0.422774 | + | 0.993551i | ||||
\(555\) | −4.93807 | + | 23.3656i | −0.209609 | + | 0.991814i | ||||
\(556\) | 28.2648 | − | 27.1986i | 1.19869 | − | 1.15348i | ||||
\(557\) | 22.6497 | − | 22.6497i | 0.959697 | − | 0.959697i | −0.0395221 | − | 0.999219i | \(-0.512584\pi\) |
0.999219 | + | 0.0395221i | \(0.0125835\pi\) | |||||||
\(558\) | 6.57985 | − | 2.65167i | 0.278547 | − | 0.112254i | ||||
\(559\) | 6.78469 | − | 3.70022i | 0.286962 | − | 0.156503i | ||||
\(560\) | 7.86224 | + | 13.1555i | 0.332240 | + | 0.555922i | ||||
\(561\) | 0.251616i | 0.0106232i | ||||||||
\(562\) | 22.8493 | − | 9.20825i | 0.963841 | − | 0.388426i | ||||
\(563\) | −6.24205 | − | 6.24205i | −0.263071 | − | 0.263071i | 0.563229 | − | 0.826301i | \(-0.309559\pi\) |
−0.826301 | + | 0.563229i | \(0.809559\pi\) | |||||||
\(564\) | 18.8464 | + | 19.5851i | 0.793575 | + | 0.824683i | ||||
\(565\) | 1.30290 | + | 2.00118i | 0.0548134 | + | 0.0841904i | ||||
\(566\) | −8.57032 | + | 20.1409i | −0.360237 | + | 0.846585i | ||||
\(567\) | 1.93194 | + | 1.93194i | 0.0811340 | + | 0.0811340i | ||||
\(568\) | −11.5892 | − | 5.19672i | −0.486273 | − | 0.218049i | ||||
\(569\) | − | 10.8680i | − | 0.455611i | −0.973707 | − | 0.227805i | \(-0.926845\pi\) | ||
0.973707 | − | 0.227805i | \(-0.0731550\pi\) | |||||||
\(570\) | 13.0978 | − | 18.7168i | 0.548608 | − | 0.783962i | ||||
\(571\) | − | 19.4497i | − | 0.813943i | −0.913441 | − | 0.406971i | \(-0.866585\pi\) | ||
0.913441 | − | 0.406971i | \(-0.133415\pi\) | |||||||
\(572\) | −0.452485 | − | 0.869000i | −0.0189193 | − | 0.0363347i | ||||
\(573\) | −19.4131 | + | 19.4131i | −0.810995 | + | 0.810995i | ||||
\(574\) | 6.52218 | + | 2.77530i | 0.272230 | + | 0.115839i | ||||
\(575\) | −12.0534 | − | 31.1830i | −0.502664 | − | 1.30042i | ||||
\(576\) | 9.60131 | − | 8.55330i | 0.400055 | − | 0.356387i | ||||
\(577\) | 12.4491 | − | 12.4491i | 0.518263 | − | 0.518263i | −0.398782 | − | 0.917046i | \(-0.630567\pi\) |
0.917046 | + | 0.398782i | \(0.130567\pi\) | |||||||
\(578\) | 19.0687 | − | 7.68465i | 0.793153 | − | 0.319639i | ||||
\(579\) | 1.49703i | 0.0622146i | ||||||||
\(580\) | 16.6791 | − | 10.4083i | 0.692560 | − | 0.432179i | ||||
\(581\) | 11.1777 | 0.463730 | ||||||||
\(582\) | −2.04440 | − | 5.07298i | −0.0847433 | − | 0.210282i | ||||
\(583\) | 0.733474 | − | 0.733474i | 0.0303774 | − | 0.0303774i | ||||
\(584\) | 8.60436 | + | 22.5940i | 0.356051 | + | 0.934947i | ||||
\(585\) | 6.14877 | − | 11.4070i | 0.254221 | − | 0.471622i | ||||
\(586\) | 1.22429 | − | 2.87717i | 0.0505749 | − | 0.118855i | ||||
\(587\) | −0.126933 | − | 0.126933i | −0.00523910 | − | 0.00523910i | 0.704482 | − | 0.709721i | \(-0.251179\pi\) |
−0.709721 | + | 0.704482i | \(0.751179\pi\) | |||||||
\(588\) | −0.184355 | + | 9.59014i | −0.00760265 | + | 0.395491i | ||||
\(589\) | 19.1044i | 0.787184i | ||||||||
\(590\) | −3.01173 | − | 17.0523i | −0.123991 | − | 0.702033i | ||||
\(591\) | 10.8266 | 0.445346 | ||||||||
\(592\) | −24.5950 | − | 26.5625i | −1.01085 | − | 1.09171i | ||||
\(593\) | 2.22865 | + | 2.22865i | 0.0915195 | + | 0.0915195i | 0.751384 | − | 0.659865i | \(-0.229386\pi\) |
−0.659865 | + | 0.751384i | \(0.729386\pi\) | |||||||
\(594\) | −0.961311 | − | 0.409055i | −0.0394431 | − | 0.0167837i | ||||
\(595\) | 5.88272 | + | 1.24325i | 0.241168 | + | 0.0509683i | ||||
\(596\) | 3.45610 | − | 3.32573i | 0.141567 | − | 0.136227i | ||||
\(597\) | −5.51150 | − | 5.51150i | −0.225571 | − | 0.225571i | ||||
\(598\) | 26.3288 | + | 21.6602i | 1.07666 | + | 0.885753i | ||||
\(599\) | 9.98842 | 0.408116 | 0.204058 | − | 0.978959i | \(-0.434587\pi\) | ||||
0.204058 | + | 0.978959i | \(0.434587\pi\) | |||||||
\(600\) | −0.878818 | + | 16.6662i | −0.0358776 | + | 0.680395i | ||||
\(601\) | 26.6091 | 1.08541 | 0.542705 | − | 0.839924i | \(-0.317400\pi\) | ||||
0.542705 | + | 0.839924i | \(0.317400\pi\) | |||||||
\(602\) | −4.81745 | + | 1.94143i | −0.196345 | + | 0.0791266i | ||||
\(603\) | −11.4210 | + | 11.4210i | −0.465101 | + | 0.465101i | ||||
\(604\) | 8.11739 | − | 7.81119i | 0.330292 | − | 0.317833i | ||||
\(605\) | 5.07739 | − | 24.0248i | 0.206425 | − | 0.976747i | ||||
\(606\) | −1.72035 | + | 4.04295i | −0.0698845 | + | 0.164234i | ||||
\(607\) | −7.48637 | + | 7.48637i | −0.303863 | + | 0.303863i | −0.842523 | − | 0.538660i | \(-0.818931\pi\) |
0.538660 | + | 0.842523i | \(0.318931\pi\) | |||||||
\(608\) | 11.6997 | + | 32.5921i | 0.474486 | + | 1.32178i | ||||
\(609\) | −8.88950 | −0.360221 | ||||||||
\(610\) | −36.7072 | + | 6.48310i | −1.48623 | + | 0.262493i | ||||
\(611\) | −36.4524 | + | 19.8803i | −1.47471 | + | 0.804273i | ||||
\(612\) | 0.0969582 | − | 5.04377i | 0.00391930 | − | 0.203882i | ||||
\(613\) | 25.6786 | + | 25.6786i | 1.03715 | + | 1.03715i | 0.999283 | + | 0.0378679i | \(0.0120566\pi\) |
0.0378679 | + | 0.999283i | \(0.487943\pi\) | |||||||
\(614\) | −9.49313 | + | 22.3096i | −0.383112 | + | 0.900341i | ||||
\(615\) | 4.21144 | + | 6.46854i | 0.169822 | + | 0.260837i | ||||
\(616\) | 0.234344 | + | 0.615360i | 0.00944201 | + | 0.0247936i | ||||
\(617\) | 3.95103 | − | 3.95103i | 0.159062 | − | 0.159062i | −0.623089 | − | 0.782151i | \(-0.714122\pi\) |
0.782151 | + | 0.623089i | \(0.214122\pi\) | |||||||
\(618\) | 16.1229 | − | 6.49749i | 0.648557 | − | 0.261367i | ||||
\(619\) | − | 8.51161i | − | 0.342111i | −0.985261 | − | 0.171055i | \(-0.945282\pi\) | ||
0.985261 | − | 0.171055i | \(-0.0547177\pi\) | |||||||
\(620\) | −7.38893 | − | 11.8406i | −0.296747 | − | 0.475531i | ||||
\(621\) | 36.3546 | 1.45886 | ||||||||
\(622\) | −24.7945 | + | 9.99215i | −0.994169 | + | 0.400649i | ||||
\(623\) | −3.91105 | − | 3.91105i | −0.156693 | − | 0.156693i | ||||
\(624\) | −7.56883 | − | 15.2443i | −0.302996 | − | 0.610260i | ||||
\(625\) | 16.8146 | + | 18.5005i | 0.672586 | + | 0.740019i | ||||
\(626\) | 10.8130 | + | 4.60115i | 0.432176 | + | 0.183899i | ||||
\(627\) | 0.694033 | − | 0.694033i | 0.0277170 | − | 0.0277170i | ||||
\(628\) | 10.2472 | + | 0.196986i | 0.408908 | + | 0.00786058i | ||||
\(629\) | −14.2022 | −0.566281 | ||||||||
\(630\) | −4.99346 | + | 7.13566i | −0.198944 | + | 0.284292i | ||||
\(631\) | 7.04210 | 0.280341 | 0.140171 | − | 0.990127i | \(-0.455235\pi\) | ||||
0.140171 | + | 0.990127i | \(0.455235\pi\) | |||||||
\(632\) | −2.43677 | − | 1.09267i | −0.0969296 | − | 0.0434641i | ||||
\(633\) | 5.63876 | − | 5.63876i | 0.224121 | − | 0.224121i | ||||
\(634\) | 18.8885 | + | 8.03740i | 0.750158 | + | 0.319206i | ||||
\(635\) | 26.1623 | + | 40.1838i | 1.03822 | + | 1.59465i | ||||
\(636\) | 12.9842 | − | 12.4944i | 0.514858 | − | 0.495437i | ||||
\(637\) | −14.0572 | − | 4.13537i | −0.556967 | − | 0.163849i | ||||
\(638\) | 0.783467 | − | 0.315736i | 0.0310178 | − | 0.0125001i | ||||
\(639\) | − | 7.21768i | − | 0.285527i | ||||||
\(640\) | −19.8568 | − | 15.6751i | −0.784909 | − | 0.619611i | ||||
\(641\) | −36.7633 | −1.45206 | −0.726032 | − | 0.687661i | \(-0.758638\pi\) | ||||
−0.726032 | + | 0.687661i | \(0.758638\pi\) | |||||||
\(642\) | −10.5124 | − | 26.0854i | −0.414891 | − | 1.02951i | ||||
\(643\) | −20.9784 | + | 20.9784i | −0.827306 | + | 0.827306i | −0.987143 | − | 0.159838i | \(-0.948903\pi\) |
0.159838 | + | 0.987143i | \(0.448903\pi\) | |||||||
\(644\) | −15.8880 | − | 16.5109i | −0.626077 | − | 0.650619i | ||||
\(645\) | −5.53379 | − | 1.16951i | −0.217893 | − | 0.0460494i | ||||
\(646\) | 12.5008 | + | 5.31932i | 0.491837 | + | 0.209286i | ||||
\(647\) | −8.79846 | + | 8.79846i | −0.345903 | + | 0.345903i | −0.858581 | − | 0.512678i | \(-0.828654\pi\) |
0.512678 | + | 0.858581i | \(0.328654\pi\) | |||||||
\(648\) | −4.11519 | − | 1.84529i | −0.161660 | − | 0.0724899i | ||||
\(649\) | − | 0.743988i | − | 0.0292041i | ||||||
\(650\) | −24.2043 | − | 8.00953i | −0.949370 | − | 0.314160i | ||||
\(651\) | 6.31075i | 0.247338i | ||||||||
\(652\) | −0.348349 | + | 18.1211i | −0.0136424 | + | 0.709679i | ||||
\(653\) | −26.6946 | + | 26.6946i | −1.04464 | + | 1.04464i | −0.0456859 | + | 0.998956i | \(0.514547\pi\) |
−0.998956 | + | 0.0456859i | \(0.985453\pi\) | |||||||
\(654\) | −1.02609 | + | 2.41138i | −0.0401232 | + | 0.0942925i | ||||
\(655\) | −0.514243 | − | 0.108680i | −0.0200932 | − | 0.00424648i | ||||
\(656\) | −11.6916 | − | 0.449669i | −0.456480 | − | 0.0175566i | ||||
\(657\) | −9.71506 | + | 9.71506i | −0.379021 | + | 0.379021i | ||||
\(658\) | 25.8829 | − | 10.4308i | 1.00902 | − | 0.406634i | ||||
\(659\) | 30.2389 | 1.17794 | 0.588970 | − | 0.808155i | \(-0.299534\pi\) | ||||
0.588970 | + | 0.808155i | \(0.299534\pi\) | |||||||
\(660\) | −0.161723 | + | 0.698578i | −0.00629507 | + | 0.0271921i | ||||
\(661\) | 44.3556i | 1.72523i | 0.505857 | + | 0.862617i | \(0.331176\pi\) | ||||
−0.505857 | + | 0.862617i | \(0.668824\pi\) | |||||||
\(662\) | 8.62653 | + | 21.4059i | 0.335279 | + | 0.831962i | ||||
\(663\) | −6.40581 | − | 1.88447i | −0.248781 | − | 0.0731869i | ||||
\(664\) | −17.2429 | + | 6.56653i | −0.669154 | + | 0.254831i | ||||
\(665\) | −12.7971 | − | 19.6556i | −0.496248 | − | 0.762210i | ||||
\(666\) | 8.05482 | − | 18.9294i | 0.312118 | − | 0.733501i | ||||
\(667\) | −20.7847 | + | 20.7847i | −0.804786 | + | 0.804786i | ||||
\(668\) | 16.8159 | + | 0.323258i | 0.650626 | + | 0.0125072i | ||||
\(669\) | −7.42935 | −0.287235 | ||||||||
\(670\) | 26.0355 | + | 18.2194i | 1.00584 | + | 0.703876i | ||||
\(671\) | −1.60152 | −0.0618261 | ||||||||
\(672\) | 3.86475 | + | 10.7661i | 0.149086 | + | 0.415312i | ||||
\(673\) | 8.50808 | − | 8.50808i | 0.327962 | − | 0.327962i | −0.523849 | − | 0.851811i | \(-0.675504\pi\) |
0.851811 | + | 0.523849i | \(0.175504\pi\) | |||||||
\(674\) | −11.3755 | + | 26.7334i | −0.438169 | + | 1.02973i | ||||
\(675\) | −25.3575 | + | 9.80165i | −0.976009 | + | 0.377266i | ||||
\(676\) | 25.5125 | − | 5.01130i | 0.981249 | − | 0.192742i | ||||
\(677\) | −9.05251 | − | 9.05251i | −0.347916 | − | 0.347916i | 0.511417 | − | 0.859333i | \(-0.329121\pi\) |
−0.859333 | + | 0.511417i | \(0.829121\pi\) | |||||||
\(678\) | 0.666198 | + | 1.65310i | 0.0255852 | + | 0.0634870i | ||||
\(679\) | −5.61543 | −0.215501 | ||||||||
\(680\) | −9.80513 | + | 1.53804i | −0.376009 | + | 0.0589812i | ||||
\(681\) | − | 14.7167i | − | 0.563946i | ||||||
\(682\) | −0.224144 | − | 0.556191i | −0.00858292 | − | 0.0212977i | ||||
\(683\) | −19.2696 | + | 19.2696i | −0.737331 | + | 0.737331i | −0.972061 | − | 0.234730i | \(-0.924580\pi\) |
0.234730 | + | 0.972061i | \(0.424580\pi\) | |||||||
\(684\) | −14.1797 | + | 13.6448i | −0.542174 | + | 0.521722i | ||||
\(685\) | −21.1723 | − | 32.5194i | −0.808950 | − | 1.24250i | ||||
\(686\) | 24.6700 | + | 10.4975i | 0.941905 | + | 0.400798i | ||||
\(687\) | 24.4593 | + | 24.4593i | 0.933180 | + | 0.933180i | ||||
\(688\) | 6.29095 | − | 5.82496i | 0.239840 | − | 0.222074i | ||||
\(689\) | 13.1799 | + | 24.1666i | 0.502116 | + | 0.920675i | ||||
\(690\) | −4.33982 | − | 24.5720i | −0.165214 | − | 0.935439i | ||||
\(691\) | 19.1766 | 0.729511 | 0.364756 | − | 0.931103i | \(-0.381153\pi\) | ||||
0.364756 | + | 0.931103i | \(0.381153\pi\) | |||||||
\(692\) | −0.470025 | + | 24.4507i | −0.0178677 | + | 0.929477i | ||||
\(693\) | −0.264595 | + | 0.264595i | −0.0100511 | + | 0.0100511i | ||||
\(694\) | −12.9517 | − | 5.51117i | −0.491638 | − | 0.209201i | ||||
\(695\) | 9.06815 | − | 42.9080i | 0.343975 | − | 1.62759i | ||||
\(696\) | 13.7131 | − | 5.22227i | 0.519792 | − | 0.197950i | ||||
\(697\) | −3.24579 | + | 3.24579i | −0.122943 | + | 0.122943i | ||||
\(698\) | −10.2141 | − | 25.3453i | −0.386609 | − | 0.959332i | ||||
\(699\) | 29.7302 | 1.12450 | ||||||||
\(700\) | 15.5335 | + | 7.23277i | 0.587111 | + | 0.273373i | ||||
\(701\) | 1.64833 | 0.0622567 | 0.0311284 | − | 0.999515i | \(-0.490090\pi\) | ||||
0.0311284 | + | 0.999515i | \(0.490090\pi\) | |||||||
\(702\) | 17.6137 | − | 21.4101i | 0.664788 | − | 0.808072i | ||||
\(703\) | 39.1741 | + | 39.1741i | 1.47748 | + | 1.47748i | ||||
\(704\) | −0.723005 | − | 0.811593i | −0.0272493 | − | 0.0305881i | ||||
\(705\) | 29.7316 | + | 6.28347i | 1.11976 | + | 0.236649i | ||||
\(706\) | −1.40168 | + | 3.29405i | −0.0527528 | + | 0.123973i | ||||
\(707\) | 3.18978 | + | 3.18978i | 0.119964 | + | 0.119964i | ||||
\(708\) | 0.248403 | − | 12.9220i | 0.00933556 | − | 0.485637i | ||||
\(709\) | 19.9349 | 0.748672 | 0.374336 | − | 0.927293i | \(-0.377871\pi\) | ||||
0.374336 | + | 0.927293i | \(0.377871\pi\) | |||||||
\(710\) | −13.9837 | + | 2.46976i | −0.524801 | + | 0.0926885i | ||||
\(711\) | − | 1.51760i | − | 0.0569146i | ||||||
\(712\) | 8.33085 | + | 3.73563i | 0.312212 | + | 0.139999i | ||||
\(713\) | 14.7553 | + | 14.7553i | 0.552588 | + | 0.552588i | ||||
\(714\) | 4.12937 | + | 1.75712i | 0.154538 | + | 0.0657587i | ||||
\(715\) | −0.964229 | − | 0.519752i | −0.0360601 | − | 0.0194376i | ||||
\(716\) | −18.4270 | + | 17.7319i | −0.688650 | + | 0.662673i | ||||
\(717\) | −12.7371 | + | 12.7371i | −0.475675 | + | 0.475675i | ||||
\(718\) | −9.94203 | + | 4.00662i | −0.371033 | + | 0.149526i | ||||
\(719\) | 30.5169 | 1.13809 | 0.569044 | − | 0.822307i | \(-0.307313\pi\) | ||||
0.569044 | + | 0.822307i | \(0.307313\pi\) | |||||||
\(720\) | 3.51102 | − | 13.9410i | 0.130848 | − | 0.519552i | ||||
\(721\) | − | 17.8469i | − | 0.664652i | ||||||
\(722\) | −9.76499 | − | 24.2308i | −0.363415 | − | 0.901778i | ||||
\(723\) | −10.5707 | + | 10.5707i | −0.393128 | + | 0.393128i | ||||
\(724\) | 6.46288 | − | 6.21909i | 0.240191 | − | 0.231131i | ||||
\(725\) | 8.89357 | − | 20.1012i | 0.330299 | − | 0.746540i | ||||
\(726\) | 7.17603 | − | 16.8642i | 0.266327 | − | 0.625889i | ||||
\(727\) | 16.6943 | − | 16.6943i | 0.619157 | − | 0.619157i | −0.326159 | − | 0.945315i | \(-0.605754\pi\) |
0.945315 | + | 0.326159i | \(0.105754\pi\) | |||||||
\(728\) | −17.4214 | + | 1.35737i | −0.645679 | + | 0.0503075i | ||||
\(729\) | − | 21.8124i | − | 0.807867i | ||||||
\(730\) | 22.1466 | + | 15.4979i | 0.819681 | + | 0.573603i | ||||
\(731\) | − | 3.36359i | − | 0.124407i | ||||||
\(732\) | −27.8160 | − | 0.534717i | −1.02811 | − | 0.0197637i | ||||
\(733\) | −24.1094 | − | 24.1094i | −0.890499 | − | 0.890499i | 0.104071 | − | 0.994570i | \(-0.466813\pi\) |
−0.994570 | + | 0.104071i | \(0.966813\pi\) | |||||||
\(734\) | −46.0606 | − | 19.5996i | −1.70013 | − | 0.723435i | ||||
\(735\) | 5.85123 | + | 8.98716i | 0.215826 | + | 0.331497i | ||||
\(736\) | 34.2087 | + | 16.1362i | 1.26095 | + | 0.594788i | ||||
\(737\) | 0.965415 | + | 0.965415i | 0.0355615 | + | 0.0355615i | ||||
\(738\) | −2.48529 | − | 6.16701i | −0.0914849 | − | 0.227011i | ||||
\(739\) | 38.8417i | 1.42881i | 0.699731 | + | 0.714407i | \(0.253303\pi\) | ||||
−0.699731 | + | 0.714407i | \(0.746697\pi\) | |||||||
\(740\) | −39.4306 | − | 9.12832i | −1.44950 | − | 0.335564i | ||||
\(741\) | 12.4712 | + | 22.8671i | 0.458141 | + | 0.840044i | ||||
\(742\) | −6.91523 | − | 17.1595i | −0.253866 | − | 0.629943i | ||||
\(743\) | −1.46488 | + | 1.46488i | −0.0537411 | + | 0.0537411i | −0.733467 | − | 0.679726i | \(-0.762099\pi\) |
0.679726 | + | 0.733467i | \(0.262099\pi\) | |||||||
\(744\) | −3.70734 | − | 9.73504i | −0.135918 | − | 0.356904i | ||||
\(745\) | 1.10881 | − | 5.24660i | 0.0406238 | − | 0.192221i | ||||
\(746\) | −23.8137 | − | 10.1332i | −0.871881 | − | 0.371001i | ||||
\(747\) | −7.41417 | − | 7.41417i | −0.271270 | − | 0.271270i | ||||
\(748\) | −0.426347 | − | 0.00819582i | −0.0155888 | − | 0.000299669i | ||||
\(749\) | −28.8747 | −1.05506 | ||||||||
\(750\) | 9.65195 | + | 15.9690i | 0.352440 | + | 0.583104i | ||||
\(751\) | 3.07742i | 0.112297i | 0.998422 | + | 0.0561484i | \(0.0178820\pi\) | ||||
−0.998422 | + | 0.0561484i | \(0.982118\pi\) | |||||||
\(752\) | −33.7996 | + | 31.2960i | −1.23255 | + | 1.14125i | ||||
\(753\) | −13.4255 | + | 13.4255i | −0.489253 | + | 0.489253i | ||||
\(754\) | 2.17046 | + | 22.3107i | 0.0790435 | + | 0.812509i | ||||
\(755\) | 2.60429 | − | 12.3228i | 0.0947798 | − | 0.448472i | ||||
\(756\) | −13.4263 | + | 12.9199i | −0.488312 | + | 0.469892i | ||||
\(757\) | −31.9991 | − | 31.9991i | −1.16303 | − | 1.16303i | −0.983809 | − | 0.179219i | \(-0.942643\pi\) |
−0.179219 | − | 0.983809i | \(-0.557357\pi\) | |||||||
\(758\) | −33.4012 | + | 13.4606i | −1.21319 | + | 0.488913i | ||||
\(759\) | − | 1.07207i | − | 0.0389136i | ||||||
\(760\) | 31.2879 | + | 22.8031i | 1.13493 | + | 0.827156i | ||||
\(761\) | − | 9.64916i | − | 0.349782i | −0.984588 | − | 0.174891i | \(-0.944043\pi\) | ||
0.984588 | − | 0.174891i | \(-0.0559572\pi\) | |||||||
\(762\) | 13.3773 | + | 33.1943i | 0.484607 | + | 1.20250i | ||||
\(763\) | 1.90252 | + | 1.90252i | 0.0688758 | + | 0.0688758i | ||||
\(764\) | −32.2620 | − | 33.5267i | −1.16720 | − | 1.21295i | ||||
\(765\) | −3.07735 | − | 4.72665i | −0.111262 | − | 0.170892i | ||||
\(766\) | −43.6483 | − | 18.5731i | −1.57708 | − | 0.671075i | ||||
\(767\) | 18.9410 | + | 5.57209i | 0.683918 | + | 0.201196i | ||||
\(768\) | −12.2865 | − | 14.3375i | −0.443352 | − | 0.517362i | ||||
\(769\) | 13.2266 | 0.476963 | 0.238481 | − | 0.971147i | \(-0.423350\pi\) | ||||
0.238481 | + | 0.971147i | \(0.423350\pi\) | |||||||
\(770\) | 0.603174 | + | 0.422094i | 0.0217369 | + | 0.0152112i | ||||
\(771\) | − | 26.7519i | − | 0.963445i | ||||||
\(772\) | −2.53663 | − | 0.0487625i | −0.0912952 | − | 0.00175500i | ||||
\(773\) | 0.434455 | + | 0.434455i | 0.0156263 | + | 0.0156263i | 0.714877 | − | 0.699250i | \(-0.246483\pi\) |
−0.699250 | + | 0.714877i | \(0.746483\pi\) | |||||||
\(774\) | 4.48316 | + | 1.90767i | 0.161144 | + | 0.0685696i | ||||
\(775\) | −14.2700 | − | 6.31364i | −0.512595 | − | 0.226793i | ||||
\(776\) | 8.66244 | − | 3.29887i | 0.310963 | − | 0.118423i | ||||
\(777\) | 12.9403 | + | 12.9403i | 0.464232 | + | 0.464232i | ||||
\(778\) | −35.4566 | + | 14.2889i | −1.27118 | + | 0.512284i | ||||
\(779\) | 17.9057 | 0.641540 | ||||||||
\(780\) | −16.5737 | − | 9.34925i | −0.593432 | − | 0.334757i | ||||
\(781\) | −0.610107 | −0.0218313 | ||||||||
\(782\) | 13.7633 | − | 5.54659i | 0.492175 | − | 0.198346i | ||||
\(783\) | 16.9017 | + | 16.9017i | 0.604019 | + | 0.604019i | ||||
\(784\) | −16.2439 | − | 0.624754i | −0.580138 | − | 0.0223126i | ||||
\(785\) | 9.60292 | − | 6.25212i | 0.342743 | − | 0.223148i | ||||
\(786\) | −0.360973 | − | 0.153601i | −0.0128755 | − | 0.00547875i | ||||
\(787\) | −5.24534 | − | 5.24534i | −0.186976 | − | 0.186976i | 0.607411 | − | 0.794388i | \(-0.292208\pi\) |
−0.794388 | + | 0.607411i | \(0.792208\pi\) | |||||||
\(788\) | −0.352651 | + | 18.3450i | −0.0125627 | + | 0.653512i | ||||
\(789\) | − | 1.67917i | − | 0.0597801i | ||||||
\(790\) | −2.94025 | + | 0.519297i | −0.104609 | + | 0.0184758i | ||||
\(791\) | 1.82987 | 0.0650626 | ||||||||
\(792\) | 0.252727 | − | 0.563608i | 0.00898027 | − | 0.0200269i | ||||
\(793\) | 11.9946 | − | 40.7727i | 0.425940 | − | 1.44788i | ||||
\(794\) | 17.4666 | + | 7.43235i | 0.619866 | + | 0.263764i | ||||
\(795\) | 4.16571 | − | 19.7110i | 0.147743 | − | 0.699077i | ||||
\(796\) | 9.51842 | − | 9.15937i | 0.337371 | − | 0.324645i | ||||
\(797\) | −31.7432 | − | 31.7432i | −1.12440 | − | 1.12440i | −0.991071 | − | 0.133332i | \(-0.957432\pi\) |
−0.133332 | − | 0.991071i | \(-0.542568\pi\) | |||||||
\(798\) | −6.54338 | − | 16.2367i | −0.231633 | − | 0.574774i | ||||
\(799\) | 18.0717i | 0.639331i | ||||||||
\(800\) | −28.2112 | − | 2.03196i | −0.997416 | − | 0.0718408i | ||||
\(801\) | 5.18839i | 0.183323i | ||||||||
\(802\) | −21.7965 | + | 8.78397i | −0.769662 | + | 0.310173i | ||||
\(803\) | 0.821208 | + | 0.821208i | 0.0289798 | + | 0.0289798i | ||||
\(804\) | 16.4455 | + | 17.0901i | 0.579987 | + | 0.602722i | ||||
\(805\) | −25.0647 | − | 5.29716i | −0.883414 | − | 0.186700i | ||||
\(806\) | 15.8386 | − | 1.54083i | 0.557892 | − | 0.0542735i | ||||
\(807\) | −16.0819 | + | 16.0819i | −0.566110 | + | 0.566110i | ||||
\(808\) | −6.79449 | − | 3.04671i | −0.239029 | − | 0.107183i | ||||
\(809\) | − | 2.77546i | − | 0.0975801i | −0.998809 | − | 0.0487900i | \(-0.984463\pi\) | ||
0.998809 | − | 0.0487900i | \(-0.0155365\pi\) | |||||||
\(810\) | −4.96546 | + | 0.876983i | −0.174468 | + | 0.0308140i | ||||
\(811\) | −34.9977 | −1.22894 | −0.614468 | − | 0.788942i | \(-0.710629\pi\) | ||||
−0.614468 | + | 0.788942i | \(0.710629\pi\) | |||||||
\(812\) | 0.289555 | − | 15.0627i | 0.0101614 | − | 0.528597i | ||||
\(813\) | −23.4162 | − | 23.4162i | −0.821243 | − | 0.821243i | ||||
\(814\) | −1.60009 | − | 0.680870i | −0.0560833 | − | 0.0238645i | ||||
\(815\) | 11.0562 | + | 16.9818i | 0.387283 | + | 0.594846i | ||||
\(816\) | −7.40227 | − | 0.284698i | −0.259131 | − | 0.00996643i | ||||
\(817\) | −9.27779 | + | 9.27779i | −0.324589 | + | 0.324589i | ||||
\(818\) | −5.20585 | − | 12.9178i | −0.182018 | − | 0.451660i | ||||
\(819\) | −4.75456 | − | 8.71792i | −0.166138 | − | 0.304629i | ||||
\(820\) | −11.0977 | + | 6.92532i | −0.387549 | + | 0.241843i | ||||
\(821\) | 40.4443i | 1.41152i | 0.708453 | + | 0.705758i | \(0.249393\pi\) | ||||
−0.708453 | + | 0.705758i | \(0.750607\pi\) | |||||||
\(822\) | −10.8258 | − | 26.8631i | −0.377592 | − | 0.936957i | ||||
\(823\) | −8.51119 | − | 8.51119i | −0.296681 | − | 0.296681i | 0.543031 | − | 0.839713i | \(-0.317277\pi\) |
−0.839713 | + | 0.543031i | \(0.817277\pi\) | |||||||
\(824\) | 10.4844 | + | 27.5308i | 0.365242 | + | 0.959081i | ||||
\(825\) | 0.289043 | + | 0.747771i | 0.0100632 | + | 0.0260341i | ||||
\(826\) | −12.2099 | − | 5.19553i | −0.424837 | − | 0.180776i | ||||
\(827\) | 24.4440 | + | 24.4440i | 0.850002 | + | 0.850002i | 0.990133 | − | 0.140131i | \(-0.0447523\pi\) |
−0.140131 | + | 0.990133i | \(0.544752\pi\) | |||||||
\(828\) | −0.413113 | + | 21.4902i | −0.0143567 | + | 0.746835i | ||||
\(829\) | 3.08143i | 0.107023i | 0.998567 | + | 0.0535113i | \(0.0170413\pi\) | ||||
−0.998567 | + | 0.0535113i | \(0.982959\pi\) | |||||||
\(830\) | −11.8274 | + | 16.9014i | −0.410536 | + | 0.586657i | ||||
\(831\) | 21.2076i | 0.735683i | ||||||||
\(832\) | 26.0770 | − | 12.3284i | 0.904058 | − | 0.427409i | ||||
\(833\) | −4.50959 | + | 4.50959i | −0.156248 | + | 0.156248i | ||||
\(834\) | 12.8163 | − | 30.1193i | 0.443792 | − | 1.04294i | ||||
\(835\) | 15.7586 | − | 10.2599i | 0.545349 | − | 0.355058i | ||||
\(836\) | 1.15339 | + | 1.19860i | 0.0398907 | + | 0.0414545i | ||||
\(837\) | 11.9987 | − | 11.9987i | 0.414736 | − | 0.414736i | ||||
\(838\) | −18.9459 | − | 47.0124i | −0.654476 | − | 1.62402i | ||||
\(839\) | 25.5414i | 0.881789i | 0.897559 | + | 0.440894i | \(0.145339\pi\) | ||||
−0.897559 | + | 0.440894i | \(0.854661\pi\) | |||||||
\(840\) | 10.3353 | + | 7.53253i | 0.356601 | + | 0.259897i | ||||
\(841\) | 9.67385 | 0.333581 | ||||||||
\(842\) | −38.6914 | + | 15.5926i | −1.33339 | + | 0.537355i | ||||
\(843\) | 14.5361 | − | 14.5361i | 0.500649 | − | 0.500649i | ||||
\(844\) | 9.37085 | + | 9.73819i | 0.322558 | + | 0.335202i | ||||
\(845\) | 20.4538 | − | 20.6553i | 0.703632 | − | 0.710565i | ||||
\(846\) | −24.0869 | − | 10.2494i | −0.828123 | − | 0.352382i | ||||
\(847\) | −13.3054 | − | 13.3054i | −0.457179 | − | 0.457179i | ||||
\(848\) | 20.7481 | + | 22.4079i | 0.712493 | + | 0.769491i | ||||
\(849\) | 18.2652i | 0.626861i | ||||||||
\(850\) | −8.10453 | + | 7.57953i | −0.277983 | + | 0.259976i | ||||
\(851\) | 60.5119 | 2.07432 | ||||||||
\(852\) | −10.5966 | − | 0.203703i | −0.363035 | − | 0.00697874i | ||||
\(853\) | 7.28569 | + | 7.28569i | 0.249457 | + | 0.249457i | 0.820748 | − | 0.571291i | \(-0.193557\pi\) |
−0.571291 | + | 0.820748i | \(0.693557\pi\) | |||||||
\(854\) | −11.1840 | + | 26.2832i | −0.382709 | + | 0.899394i | ||||
\(855\) | −4.54925 | + | 21.5258i | −0.155581 | + | 0.736166i | ||||
\(856\) | 44.5425 | − | 16.9629i | 1.52243 | − | 0.579780i | ||||
\(857\) | 18.1854 | + | 18.1854i | 0.621200 | + | 0.621200i | 0.945838 | − | 0.324638i | \(-0.105243\pi\) |
−0.324638 | + | 0.945838i | \(0.605243\pi\) | |||||||
\(858\) | −0.631367 | − | 0.519415i | −0.0215545 | − | 0.0177325i | ||||
\(859\) | −47.8646 | −1.63312 | −0.816559 | − | 0.577261i | \(-0.804121\pi\) | ||||
−0.816559 | + | 0.577261i | \(0.804121\pi\) | |||||||
\(860\) | 2.16191 | − | 9.33856i | 0.0737205 | − | 0.318442i | ||||
\(861\) | 5.91479 | 0.201575 | ||||||||
\(862\) | 10.4613 | + | 25.9587i | 0.356314 | + | 0.884156i | ||||
\(863\) | −7.98468 | + | 7.98468i | −0.271802 | + | 0.271802i | −0.829825 | − | 0.558023i | \(-0.811560\pi\) |
0.558023 | + | 0.829825i | \(0.311560\pi\) | |||||||
\(864\) | 13.1217 | − | 27.8179i | 0.446408 | − | 0.946384i | ||||
\(865\) | 14.9181 | + | 22.9134i | 0.507231 | + | 0.779079i | ||||
\(866\) | −4.20358 | − | 1.78870i | −0.142843 | − | 0.0607825i | ||||
\(867\) | 12.1309 | − | 12.1309i | 0.411989 | − | 0.411989i | ||||
\(868\) | −10.6932 | − | 0.205558i | −0.362949 | − | 0.00697710i | ||||
\(869\) | −0.128282 | −0.00435168 | ||||||||
\(870\) | 9.40620 | − | 13.4415i | 0.318900 | − | 0.455709i | ||||
\(871\) | −31.8087 | + | 17.3477i | −1.07780 | + | 0.587806i | ||||
\(872\) | −4.05251 | − | 1.81719i | −0.137235 | − | 0.0615377i | ||||
\(873\) | 3.72471 | + | 3.72471i | 0.126062 | + | 0.126062i | ||||
\(874\) | −53.2625 | − | 22.6642i | −1.80163 | − | 0.766627i | ||||
\(875\) | 18.9109 | − | 3.06297i | 0.639305 | − | 0.103547i | ||||
\(876\) | 13.9890 | + | 14.5373i | 0.472643 | + | 0.491171i | ||||
\(877\) | −5.81287 | + | 5.81287i | −0.196287 | + | 0.196287i | −0.798406 | − | 0.602119i | \(-0.794323\pi\) |
0.602119 | + | 0.798406i | \(0.294323\pi\) | |||||||
\(878\) | −3.59729 | − | 8.92631i | −0.121403 | − | 0.301248i | ||||
\(879\) | − | 2.60923i | − | 0.0880071i | ||||||
\(880\) | −1.17843 | − | 0.296784i | −0.0397248 | − | 0.0100046i | ||||
\(881\) | −23.0235 | −0.775681 | −0.387840 | − | 0.921727i | \(-0.626779\pi\) | ||||
−0.387840 | + | 0.921727i | \(0.626779\pi\) | |||||||
\(882\) | −3.45298 | − | 8.56822i | −0.116268 | − | 0.288507i | ||||
\(883\) | −7.69986 | − | 7.69986i | −0.259121 | − | 0.259121i | 0.565576 | − | 0.824696i | \(-0.308654\pi\) |
−0.824696 | + | 0.565576i | \(0.808654\pi\) | |||||||
\(884\) | 3.40178 | − | 10.7929i | 0.114414 | − | 0.363003i | ||||
\(885\) | −7.88406 | − | 12.1095i | −0.265020 | − | 0.407056i | ||||
\(886\) | 11.9378 | − | 28.0547i | 0.401057 | − | 0.942514i | ||||
\(887\) | 18.5646 | − | 18.5646i | 0.623340 | − | 0.623340i | −0.323044 | − | 0.946384i | \(-0.604706\pi\) |
0.946384 | + | 0.323044i | \(0.104706\pi\) | |||||||
\(888\) | −27.5639 | − | 12.3599i | −0.924984 | − | 0.414772i | ||||
\(889\) | 36.7438 | 1.23235 | ||||||||
\(890\) | 10.0521 | − | 1.77538i | 0.336948 | − | 0.0595107i | ||||
\(891\) | −0.216642 | −0.00725776 | ||||||||
\(892\) | 0.241994 | − | 12.5886i | 0.00810256 | − | 0.421496i | ||||
\(893\) | 49.8472 | − | 49.8472i | 1.66807 | − | 1.66807i | ||||
\(894\) | 1.56712 | − | 3.68285i | 0.0524124 | − | 0.123173i | ||||
\(895\) | −5.91191 | + | 27.9735i | −0.197613 | + | 0.935052i | ||||
\(896\) | −18.3684 | + | 6.19790i | −0.613645 | + | 0.207057i | ||||
\(897\) | 27.2934 | + | 8.02924i | 0.911302 | + | 0.268088i | ||||
\(898\) | 4.55715 | + | 11.3081i | 0.152074 | + | 0.377357i | ||||
\(899\) | 13.7198i | 0.457582i | ||||||||
\(900\) | −5.50587 | − | 15.1008i | −0.183529 | − | 0.503361i | ||||
\(901\) | 11.9809 | 0.399141 | ||||||||
\(902\) | −0.521294 | + | 0.210081i | −0.0173572 | + | 0.00699492i | ||||
\(903\) | −3.06472 | + | 3.06472i | −0.101988 | + | 0.101988i | ||||
\(904\) | −2.82278 | + | 1.07498i | −0.0938841 | + | 0.0357534i | ||||
\(905\) | 2.07348 | − | 9.81113i | 0.0689247 | − | 0.326133i | ||||
\(906\) | 3.68072 | − | 8.64997i | 0.122284 | − | 0.287376i | ||||
\(907\) | −24.7376 | + | 24.7376i | −0.821398 | + | 0.821398i | −0.986308 | − | 0.164911i | \(-0.947266\pi\) |
0.164911 | + | 0.986308i | \(0.447266\pi\) | |||||||
\(908\) | 24.9365 | + | 0.479364i | 0.827548 | + | 0.0159082i | ||||
\(909\) | − | 4.23156i | − | 0.140352i | ||||||
\(910\) | −15.2634 | + | 12.1947i | −0.505978 | + | 0.404252i | ||||
\(911\) | − | 54.7745i | − | 1.81476i | −0.420313 | − | 0.907379i | \(-0.638080\pi\) | ||
0.420313 | − | 0.907379i | \(-0.361920\pi\) | |||||||
\(912\) | 19.6324 | + | 21.2030i | 0.650094 | + | 0.702101i | ||||
\(913\) | −0.626716 | + | 0.626716i | −0.0207413 | + | 0.0207413i | ||||
\(914\) | 29.1676 | + | 12.4113i | 0.964778 | + | 0.410531i | ||||
\(915\) | −26.0671 | + | 16.9714i | −0.861752 | + | 0.561057i | ||||
\(916\) | −42.2414 | + | 40.6480i | −1.39569 | + | 1.34305i | ||||
\(917\) | −0.284798 | + | 0.284798i | −0.00940487 | + | 0.00940487i | ||||
\(918\) | −4.51039 | − | 11.1921i | −0.148865 | − | 0.369394i | ||||
\(919\) | 33.2299 | 1.09615 | 0.548076 | − | 0.836428i | \(-0.315360\pi\) | ||||
0.548076 | + | 0.836428i | \(0.315360\pi\) | |||||||
\(920\) | 41.7770 | − | 6.55317i | 1.37735 | − | 0.216052i | ||||
\(921\) | 20.2320i | 0.666665i | ||||||||
\(922\) | 40.9496 | − | 16.5026i | 1.34860 | − | 0.543486i | ||||
\(923\) | 4.56938 | − | 15.5325i | 0.150403 | − | 0.511259i | ||||
\(924\) | 0.380997 | + | 0.395932i | 0.0125339 | + | 0.0130252i | ||||
\(925\) | −42.2073 | + | 16.3148i | −1.38777 | + | 0.536427i | ||||
\(926\) | 31.8136 | + | 13.5373i | 1.04546 | + | 0.444862i | ||||
\(927\) | −11.8378 | + | 11.8378i | −0.388804 | + | 0.388804i | ||||
\(928\) | 8.40214 | + | 23.4060i | 0.275814 | + | 0.768340i | ||||
\(929\) | 33.1243 | 1.08677 | 0.543386 | − | 0.839483i | \(-0.317142\pi\) | ||||
0.543386 | + | 0.839483i | \(0.317142\pi\) | |||||||
\(930\) | −9.54224 | − | 6.67756i | −0.312903 | − | 0.218966i | ||||
\(931\) | 24.8776 | 0.815331 | ||||||||
\(932\) | −0.968394 | + | 50.3759i | −0.0317208 | + | 1.65012i | ||||
\(933\) | −15.7735 | + | 15.7735i | −0.516403 | + | 0.516403i | ||||
\(934\) | −6.34655 | − | 2.70057i | −0.207666 | − | 0.0883655i | ||||
\(935\) | −0.399541 | + | 0.260127i | −0.0130664 | + | 0.00850706i | ||||
\(936\) | 12.4559 | + | 10.6552i | 0.407135 | + | 0.348277i | ||||
\(937\) | 23.6889 | + | 23.6889i | 0.773882 | + | 0.773882i | 0.978783 | − | 0.204901i | \(-0.0656872\pi\) |
−0.204901 | + | 0.978783i | \(0.565687\pi\) | |||||||
\(938\) | 22.5857 | − | 9.10198i | 0.737448 | − | 0.297190i | ||||
\(939\) | 9.80606 | 0.320009 | ||||||||
\(940\) | −11.6154 | + | 50.1737i | −0.378852 | + | 1.63649i | ||||
\(941\) | − | 12.1245i | − | 0.395247i | −0.980278 | − | 0.197624i | \(-0.936678\pi\) | ||
0.980278 | − | 0.197624i | \(-0.0633224\pi\) | |||||||
\(942\) | 7.93261 | − | 3.19683i | 0.258458 | − | 0.104158i | ||||
\(943\) | 13.8295 | − | 13.8295i | 0.450349 | − | 0.450349i | ||||
\(944\) | 21.8873 | + | 0.841807i | 0.712372 | + | 0.0273985i | ||||
\(945\) | −4.30756 | + | 20.3822i | −0.140125 | + | 0.663032i | ||||
\(946\) | 0.161254 | − | 0.378959i | 0.00524282 | − | 0.0123210i | ||||
\(947\) | 4.68453 | + | 4.68453i | 0.152227 | + | 0.152227i | 0.779112 | − | 0.626885i | \(-0.215670\pi\) |
−0.626885 | + | 0.779112i | \(0.715670\pi\) | |||||||
\(948\) | −2.22807 | − | 0.0428309i | −0.0723643 | − | 0.00139108i | ||||
\(949\) | −27.0573 | + | 14.7565i | −0.878318 | + | 0.479015i | ||||
\(950\) | 43.2613 | + | 1.44810i | 1.40358 | + | 0.0469825i | ||||
\(951\) | 17.1295 | 0.555461 | ||||||||
\(952\) | −3.11184 | + | 6.93973i | −0.100855 | + | 0.224918i | ||||
\(953\) | −15.6053 | + | 15.6053i | −0.505504 | + | 0.505504i | −0.913143 | − | 0.407639i | \(-0.866352\pi\) |
0.407639 | + | 0.913143i | \(0.366352\pi\) | |||||||
\(954\) | −6.79498 | + | 15.9687i | −0.219995 | + | 0.517006i | ||||
\(955\) | −50.8959 | − | 10.7563i | −1.64695 | − | 0.348066i | ||||
\(956\) | −21.1673 | − | 21.9971i | −0.684599 | − | 0.711436i | ||||
\(957\) | 0.498419 | − | 0.498419i | 0.0161116 | − | 0.0161116i | ||||
\(958\) | 40.4042 | − | 16.2828i | 1.30540 | − | 0.526075i | ||||
\(959\) | −29.7355 | −0.960210 | ||||||||
\(960\) | −20.3684 | − | 5.54815i | −0.657389 | − | 0.179066i | ||||
\(961\) | −21.2602 | −0.685811 | ||||||||
\(962\) | 29.3179 | − | 35.6369i | 0.945248 | − | 1.14898i | ||||
\(963\) | 19.1526 | + | 19.1526i | 0.617183 | + | 0.617183i | ||||
\(964\) | −17.5670 | − | 18.2557i | −0.565796 | − | 0.587975i | ||||
\(965\) | −2.37714 | + | 1.54767i | −0.0765228 | + | 0.0498213i | ||||
\(966\) | −17.5941 | − | 7.48663i | −0.566082 | − | 0.240878i | ||||
\(967\) | 7.06843 | + | 7.06843i | 0.227305 | + | 0.227305i | 0.811566 | − | 0.584261i | \(-0.198615\pi\) |
−0.584261 | + | 0.811566i | \(0.698615\pi\) | |||||||
\(968\) | 28.3416 | + | 12.7086i | 0.910933 | + | 0.408471i | ||||
\(969\) | 11.3366 | 0.364185 | ||||||||
\(970\) | 5.94183 | − | 8.49089i | 0.190781 | − | 0.272626i | ||||
\(971\) | − | 16.4004i | − | 0.526315i | −0.964753 | − | 0.263158i | \(-0.915236\pi\) | ||
0.964753 | − | 0.263158i | \(-0.0847639\pi\) | |||||||
\(972\) | 28.8543 | + | 0.554676i | 0.925502 | + | 0.0177913i | ||||
\(973\) | −23.7633 | − | 23.7633i | −0.761817 | − | 0.761817i | ||||
\(974\) | −16.8371 | + | 39.5684i | −0.539495 | + | 1.26785i | ||||
\(975\) | −21.2021 | + | 1.75823i | −0.679009 | + | 0.0563086i | ||||
\(976\) | 1.81209 | − | 47.1151i | 0.0580035 | − | 1.50812i | ||||
\(977\) | 9.44147 | − | 9.44147i | 0.302059 | − | 0.302059i | −0.539760 | − | 0.841819i | \(-0.681485\pi\) |
0.841819 | + | 0.539760i | \(0.181485\pi\) | |||||||
\(978\) | 5.65327 | + | 14.0280i | 0.180772 | + | 0.448566i | ||||
\(979\) | 0.438572 | 0.0140168 | ||||||||
\(980\) | −15.4188 | + | 9.62179i | −0.492534 | + | 0.307357i | ||||
\(981\) | − | 2.52388i | − | 0.0805811i | ||||||
\(982\) | 41.2340 | − | 16.6173i | 1.31583 | − | 0.530278i | ||||
\(983\) | 2.87573 | − | 2.87573i | 0.0917216 | − | 0.0917216i | −0.659757 | − | 0.751479i | \(-0.729341\pi\) |
0.751479 | + | 0.659757i | \(0.229341\pi\) | |||||||
\(984\) | −9.12422 | + | 3.47473i | −0.290870 | + | 0.110770i | ||||
\(985\) | 11.1928 | + | 17.1915i | 0.356632 | + | 0.547768i | ||||
\(986\) | 8.97743 | + | 3.82006i | 0.285900 | + | 0.121656i | ||||
\(987\) | 16.4660 | − | 16.4660i | 0.524118 | − | 0.524118i | ||||
\(988\) | −39.1531 | + | 20.3868i | −1.24562 | + | 0.648591i | ||||
\(989\) | 14.3314i | 0.455711i | ||||||||
\(990\) | −0.120110 | − | 0.680059i | −0.00381734 | − | 0.0216137i | ||||
\(991\) | 12.4832i | 0.396541i | 0.980147 | + | 0.198271i | \(0.0635325\pi\) | ||||
−0.980147 | + | 0.198271i | \(0.936468\pi\) | |||||||
\(992\) | 16.6162 | − | 5.96476i | 0.527564 | − | 0.189381i | ||||
\(993\) | 13.6178 | + | 13.6178i | 0.432147 | + | 0.432147i | ||||
\(994\) | −4.26059 | + | 10.0127i | −0.135138 | + | 0.317584i | ||||
\(995\) | 3.05378 | − | 14.4496i | 0.0968113 | − | 0.458085i | ||||
\(996\) | −11.0944 | + | 10.6759i | −0.351538 | + | 0.338278i | ||||
\(997\) | 30.7425 | + | 30.7425i | 0.973625 | + | 0.973625i | 0.999661 | − | 0.0260359i | \(-0.00828842\pi\) |
−0.0260359 | + | 0.999661i | \(0.508288\pi\) | |||||||
\(998\) | 40.4272 | − | 16.2921i | 1.27970 | − | 0.515718i | ||||
\(999\) | − | 49.2073i | − | 1.55685i |
(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 | 260.2.p.d.207.20 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.207.4 | yes | 64 | |
5.3 | odd | 4 | inner | 260.2.p.d.103.29 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.207.13 | yes | 64 | |
20.3 | even | 4 | inner | 260.2.p.d.103.13 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.207.29 | yes | 64 | |
65.38 | odd | 4 | inner | 260.2.p.d.103.4 | ✓ | 64 | |
260.103 | even | 4 | inner | 260.2.p.d.103.20 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.4 | ✓ | 64 | 65.38 | odd | 4 | inner | |
260.2.p.d.103.13 | yes | 64 | 20.3 | even | 4 | inner | |
260.2.p.d.103.20 | yes | 64 | 260.103 | even | 4 | inner | |
260.2.p.d.103.29 | yes | 64 | 5.3 | odd | 4 | inner | |
260.2.p.d.207.4 | yes | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.207.13 | yes | 64 | 13.12 | even | 2 | inner | |
260.2.p.d.207.20 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.207.29 | yes | 64 | 52.51 | odd | 2 | inner |