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 | 207.4 | ||
Character | \(\chi\) | \(=\) | 260.207 |
Dual form | 260.2.p.d.103.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31170 | − | 0.528615i | −0.927515 | − | 0.373787i | ||||
\(3\) | −0.834468 | − | 0.834468i | −0.481780 | − | 0.481780i | 0.423920 | − | 0.905700i | \(-0.360654\pi\) |
−0.905700 | + | 0.423920i | \(0.860654\pi\) | |||||||
\(4\) | 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 | 0.440033 | − | 0.897981i | \(-0.354967\pi\) |
−0.897981 | + | 0.440033i | \(0.854967\pi\) | |||||||
\(8\) | −1.15727 | − | 2.58084i | −0.409158 | − | 0.912464i | ||||
\(9\) | − | 1.60733i | − | 0.535776i | ||||||
\(10\) | 1.76295 | − | 2.62526i | 0.557493 | − | 0.830181i | ||||
\(11\) | 0.135866 | 0.0409653 | 0.0204826 | − | 0.999790i | \(-0.493480\pi\) | ||||
0.0204826 | + | 0.999790i | \(0.493480\pi\) | |||||||
\(12\) | −0.0453632 | − | 2.35980i | −0.0130952 | − | 0.681214i | ||||
\(13\) | 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 | \(0.810947\pi\) | |||||||
\(18\) | −0.849657 | + | 2.10834i | −0.200266 | + | 0.496940i | ||||
\(19\) | − | 6.12150i | − | 1.40437i | −0.711995 | − | 0.702185i | \(-0.752208\pi\) | ||
0.711995 | − | 0.702185i | \(-0.247792\pi\) | |||||||
\(20\) | −3.70022 | + | 2.51165i | −0.827394 | + | 0.561622i | ||||
\(21\) | 2.02211i | 0.441261i | ||||||||
\(22\) | −0.178217 | − | 0.0718210i | −0.0379959 | − | 0.0153123i | ||||
\(23\) | −4.72792 | − | 4.72792i | −0.985840 | − | 0.985840i | 0.0140607 | − | 0.999901i | \(-0.495524\pi\) |
−0.999901 | + | 0.0140607i | \(0.995524\pi\) | |||||||
\(24\) | −1.18792 | + | 3.11933i | −0.242483 | + | 0.636731i | ||||
\(25\) | −4.57245 | − | 2.02304i | −0.914491 | − | 0.404607i | ||||
\(26\) | −3.16322 | + | 3.99926i | −0.620358 | + | 0.784319i | ||||
\(27\) | −3.84467 | + | 3.84467i | −0.739906 | + | 0.739906i | ||||
\(28\) | −0.0658656 | − | 3.42634i | −0.0124474 | − | 0.647517i | ||||
\(29\) | 4.39615i | 0.816345i | 0.912905 | + | 0.408172i | \(0.133834\pi\) | ||||
−0.912905 | + | 0.408172i | \(0.866166\pi\) | |||||||
\(30\) | −3.66182 | + | 0.719575i | −0.668554 | + | 0.131376i | ||||
\(31\) | −3.12087 | −0.560525 | −0.280263 | − | 0.959923i | \(-0.590422\pi\) | ||||
−0.280263 | + | 0.959923i | \(0.590422\pi\) | |||||||
\(32\) | 1.91125 | − | 5.32420i | 0.337864 | − | 0.941195i | ||||
\(33\) | −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 | \(-0.0170344\pi\) | |||||||
\(38\) | −3.23592 | + | 8.02960i | −0.524935 | + | 1.30257i | ||||
\(39\) | −3.73554 | + | 2.03728i | −0.598165 | + | 0.326226i | ||||
\(40\) | 6.18129 | − | 1.33855i | 0.977347 | − | 0.211643i | ||||
\(41\) | − | 2.92506i | − | 0.456817i | −0.973565 | − | 0.228409i | \(-0.926648\pi\) | ||
0.973565 | − | 0.228409i | \(-0.0733522\pi\) | |||||||
\(42\) | 1.06892 | − | 2.65241i | 0.164937 | − | 0.409276i | ||||
\(43\) | −1.51561 | − | 1.51561i | −0.231128 | − | 0.231128i | 0.582035 | − | 0.813163i | \(-0.302256\pi\) |
−0.813163 | + | 0.582035i | \(0.802256\pi\) | |||||||
\(44\) | 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 | \(0.0673766\pi\) |
0.210093 | + | 0.977681i | \(0.432623\pi\) | |||||||
\(48\) | 3.20712 | − | 3.46369i | 0.462908 | − | 0.499940i | ||||
\(49\) | − | 4.06397i | − | 0.580567i | ||||||
\(50\) | 4.92830 | + | 5.07069i | 0.696966 | + | 0.717104i | ||||
\(51\) | 1.85194i | 0.259323i | ||||||||
\(52\) | 6.26327 | − | 3.57372i | 0.868559 | − | 0.495585i | ||||
\(53\) | −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 | ||||
\(58\) | 2.32387 | − | 5.76645i | 0.305139 | − | 0.757172i | ||||
\(59\) | − | 5.47588i | − | 0.712899i | −0.934315 | − | 0.356449i | \(-0.883987\pi\) | ||
0.934315 | − | 0.356449i | \(-0.116013\pi\) | |||||||
\(60\) | 5.18360 | + | 0.991824i | 0.669200 | + | 0.128044i | ||||
\(61\) | 11.7875 | 1.50923 | 0.754616 | − | 0.656167i | \(-0.227823\pi\) | ||||
0.754616 | + | 0.656167i | \(0.227823\pi\) | |||||||
\(62\) | 4.09366 | + | 1.64974i | 0.519895 | + | 0.209517i | ||||
\(63\) | −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 | 0.992261 | − | 0.124172i | \(-0.0396273\pi\) |
−0.124172 | + | 0.992261i | \(0.539627\pi\) | |||||||
\(68\) | −0.0603226 | − | 3.13799i | −0.00731519 | − | 0.380537i | ||||
\(69\) | 7.89060i | 0.949917i | ||||||||
\(70\) | −5.31683 | + | 1.04480i | −0.635483 | + | 0.124877i | ||||
\(71\) | −4.49049 | −0.532923 | −0.266461 | − | 0.963846i | \(-0.585854\pi\) | ||||
−0.266461 | + | 0.963846i | \(0.585854\pi\) | |||||||
\(72\) | −4.14825 | + | 1.86011i | −0.488876 | + | 0.219217i | ||||
\(73\) | −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 | ||||
\(78\) | 5.97685 | − | 0.697647i | 0.676745 | − | 0.0789930i | ||||
\(79\) | −0.944179 | −0.106228 | −0.0531142 | − | 0.998588i | \(-0.516915\pi\) | ||||
−0.0531142 | + | 0.998588i | \(0.516915\pi\) | |||||||
\(80\) | −8.81559 | − | 1.51174i | −0.985613 | − | 0.169017i | ||||
\(81\) | 1.59452 | 0.177169 | ||||||||
\(82\) | −1.54623 | + | 3.83681i | −0.170752 | + | 0.423705i | ||||
\(83\) | −4.61273 | + | 4.61273i | −0.506313 | + | 0.506313i | −0.913393 | − | 0.407079i | \(-0.866547\pi\) |
0.407079 | + | 0.913393i | \(0.366547\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | −0.157234 | − | 0.350649i | −0.0167613 | − | 0.0373793i | ||||
\(89\) | −3.22796 | −0.342163 | −0.171082 | − | 0.985257i | \(-0.554726\pi\) | ||||
−0.171082 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(90\) | −4.21966 | − | 2.83364i | −0.444791 | − | 0.298691i | ||||
\(91\) | −5.42386 | + | 2.95805i | −0.568575 | + | 0.310088i | ||||
\(92\) | −0.257018 | − | 13.3701i | −0.0267960 | − | 1.39393i | ||||
\(93\) | 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 | \(0.303206\pi\) | |||||||
\(98\) | −2.14827 | + | 5.33073i | −0.217009 | + | 0.538485i | ||||
\(99\) | − | 0.218382i | − | 0.0219482i | ||||||
\(100\) | −3.78402 | − | 9.25641i | −0.378402 | − | 0.925641i | ||||
\(101\) | 2.63267 | 0.261960 | 0.130980 | − | 0.991385i | \(-0.458188\pi\) | ||||
0.130980 | + | 0.991385i | \(0.458188\pi\) | |||||||
\(102\) | 0.978961 | − | 2.42919i | 0.0969316 | − | 0.240526i | ||||
\(103\) | 7.36490 | + | 7.36490i | 0.725685 | + | 0.725685i | 0.969757 | − | 0.244072i | \(-0.0784833\pi\) |
−0.244072 | + | 0.969757i | \(0.578483\pi\) | |||||||
\(104\) | −10.1047 | + | 1.37680i | −0.990845 | + | 0.135006i | ||||
\(105\) | −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 | \(-0.446986\pi\) |
0.986163 | − | 0.165780i | \(-0.0530141\pi\) | |||||||
\(108\) | −10.8723 | + | 0.209003i | −1.04619 | + | 0.0201113i | ||||
\(109\) | 1.57023 | 0.150401 | 0.0752004 | − | 0.997168i | \(-0.476040\pi\) | ||||
0.0752004 | + | 0.997168i | \(0.476040\pi\) | |||||||
\(110\) | 0.239526 | − | 0.356685i | 0.0228379 | − | 0.0340086i | ||||
\(111\) | −10.6802 | −1.01372 | ||||||||
\(112\) | 4.65662 | − | 5.02915i | 0.440010 | − | 0.475210i | ||||
\(113\) | 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 | ||||
\(118\) | −2.89463 | + | 7.18273i | −0.266472 | + | 0.661224i | ||||
\(119\) | 2.68894i | 0.246495i | ||||||||
\(120\) | −6.27506 | − | 4.04111i | −0.572832 | − | 0.368901i | ||||
\(121\) | −10.9815 | −0.998322 | ||||||||
\(122\) | −15.4617 | − | 6.23103i | −1.39983 | − | 0.564131i | ||||
\(123\) | −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 | \(0.650374\pi\) |
−0.890472 | + | 0.455037i | \(0.849626\pi\) | |||||||
\(128\) | 10.1378 | − | 5.02242i | 0.896065 | − | 0.443923i | ||||
\(129\) | 2.52945i | 0.222706i | ||||||||
\(130\) | −7.28682 | − | 8.76940i | −0.639096 | − | 0.769127i | ||||
\(131\) | − | 0.235056i | − | 0.0205370i | −0.999947 | − | 0.0102685i | \(-0.996731\pi\) | ||
0.999947 | − | 0.0102685i | \(-0.00326862\pi\) | |||||||
\(132\) | −0.00616333 | − | 0.320617i | −0.000536449 | − | 0.0279061i | ||||
\(133\) | −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 | \(0.984201\pi\) | |||||||
\(138\) | 4.17109 | − | 10.3501i | 0.355067 | − | 0.881062i | ||||
\(139\) | 19.6129 | 1.66354 | 0.831772 | − | 0.555117i | \(-0.187327\pi\) | ||||
0.831772 | + | 0.555117i | \(0.187327\pi\) | |||||||
\(140\) | 7.52640 | + | 1.44009i | 0.636097 | + | 0.121710i | ||||
\(141\) | − | 13.5901i | − | 1.14449i | ||||||
\(142\) | 5.89019 | + | 2.37374i | 0.494294 | + | 0.199200i | ||||
\(143\) | 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 | ||||
\(148\) | 18.0969 | − | 0.347884i | 1.48756 | − | 0.0285959i | ||||
\(149\) | −2.39818 | −0.196467 | −0.0982333 | − | 0.995163i | \(-0.531319\pi\) | ||||
−0.0982333 | + | 0.995163i | \(0.531319\pi\) | |||||||
\(150\) | 0.118822 | − | 8.34383i | 0.00970181 | − | 0.681271i | ||||
\(151\) | 5.63264 | 0.458378 | 0.229189 | − | 0.973382i | \(-0.426393\pi\) | ||||
0.229189 | + | 0.973382i | \(0.426393\pi\) | |||||||
\(152\) | −15.7986 | + | 7.08424i | −1.28144 | + | 0.574608i | ||||
\(153\) | −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 | ||||
\(156\) | −8.20865 | − | 2.24435i | −0.657218 | − | 0.179691i | ||||
\(157\) | −3.62360 | − | 3.62360i | −0.289195 | − | 0.289195i | 0.547567 | − | 0.836762i | \(-0.315554\pi\) |
−0.836762 | + | 0.547567i | \(0.815554\pi\) | |||||||
\(158\) | 1.23848 | + | 0.499107i | 0.0985284 | + | 0.0397068i | ||||
\(159\) | 9.00974 | 0.714519 | ||||||||
\(160\) | 10.7643 | + | 6.64300i | 0.850994 | + | 0.525175i | ||||
\(161\) | 11.4569i | 0.902927i | ||||||||
\(162\) | −2.09154 | − | 0.842886i | −0.164327 | − | 0.0662233i | ||||
\(163\) | −6.40798 | + | 6.40798i | −0.501911 | + | 0.501911i | −0.912032 | − | 0.410120i | \(-0.865487\pi\) |
0.410120 | + | 0.912032i | \(0.365487\pi\) | |||||||
\(164\) | 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 | 0.898704 | − | 0.438556i | \(-0.144510\pi\) |
−0.438556 | + | 0.898704i | \(0.644510\pi\) | |||||||
\(168\) | 5.21874 | − | 2.34013i | 0.402634 | − | 0.180545i | ||||
\(169\) | −10.9291 | − | 7.03951i | −0.840700 | − | 0.541501i | ||||
\(170\) | −4.86939 | + | 0.956870i | −0.373465 | + | 0.0733886i | ||||
\(171\) | −9.83926 | −0.752427 | ||||||||
\(172\) | −0.0823911 | − | 4.28599i | −0.00628226 | − | 0.326804i | ||||
\(173\) | 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 | ||||
\(178\) | 4.23413 | + | 1.70635i | 0.317361 | + | 0.127896i | ||||
\(179\) | −12.7865 | −0.955706 | −0.477853 | − | 0.878440i | \(-0.658585\pi\) | ||||
−0.477853 | + | 0.878440i | \(0.658585\pi\) | |||||||
\(180\) | 4.03704 | + | 5.94746i | 0.300903 | + | 0.443298i | ||||
\(181\) | −4.48458 | −0.333337 | −0.166668 | − | 0.986013i | \(-0.553301\pi\) | ||||
−0.166668 | + | 0.986013i | \(0.553301\pi\) | |||||||
\(182\) | 8.67817 | − | 1.01296i | 0.643269 | − | 0.0750854i | ||||
\(183\) | −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 | ||||
\(188\) | 0.442666 | + | 23.0275i | 0.0322848 | + | 1.67946i | ||||
\(189\) | 9.31652 | 0.677677 | ||||||||
\(190\) | −16.0706 | − | 10.7919i | −1.16588 | − | 0.782926i | ||||
\(191\) | − | 23.2641i | − | 1.68333i | −0.540000 | − | 0.841665i | \(-0.681576\pi\) | ||
0.540000 | − | 0.841665i | \(-0.318424\pi\) | |||||||
\(192\) | 9.42523 | − | 0.544090i | 0.680208 | − | 0.0392663i | ||||
\(193\) | 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 | \(0.144024\pi\) | |||||||
\(198\) | −0.115440 | + | 0.286452i | −0.00820395 | + | 0.0203573i | ||||
\(199\) | 6.60481 | 0.468203 | 0.234101 | − | 0.972212i | \(-0.424785\pi\) | ||||
0.234101 | + | 0.972212i | \(0.424785\pi\) | |||||||
\(200\) | 0.0704444 | + | 14.1420i | 0.00498117 | + | 0.999988i | ||||
\(201\) | − | 11.8588i | − | 0.836456i | ||||||
\(202\) | −3.45328 | − | 1.39167i | −0.242972 | − | 0.0979173i | ||||
\(203\) | 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 | ||||
\(208\) | 13.9821 | + | 3.53552i | 0.969487 | + | 0.245144i | ||||
\(209\) | − | 0.831707i | − | 0.0575304i | ||||||
\(210\) | 5.30857 | + | 3.56488i | 0.366326 | + | 0.246000i | ||||
\(211\) | 6.75732i | 0.465193i | 0.972573 | + | 0.232596i | \(0.0747221\pi\) | ||||
−0.972573 | + | 0.232596i | \(0.925278\pi\) | |||||||
\(212\) | −15.2664 | + | 0.293472i | −1.04850 | + | 0.0201557i | ||||
\(213\) | 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 | ||||
\(218\) | −2.05968 | − | 0.830047i | −0.139499 | − | 0.0562179i | ||||
\(219\) | 10.0874i | 0.681646i | ||||||||
\(220\) | −0.502736 | + | 0.341249i | −0.0338944 | + | 0.0230070i | ||||
\(221\) | −4.96741 | + | 2.70912i | −0.334144 | + | 0.182235i | ||||
\(222\) | 14.0093 | + | 5.64572i | 0.940241 | + | 0.378916i | ||||
\(223\) | 4.45155 | − | 4.45155i | 0.298098 | − | 0.298098i | −0.542171 | − | 0.840268i | \(-0.682397\pi\) |
0.840268 | + | 0.542171i | \(0.182397\pi\) | |||||||
\(224\) | −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 | 0.936348 | − | 0.351075i | \(-0.114184\pi\) |
−0.351075 | + | 0.936348i | \(0.614184\pi\) | |||||||
\(228\) | −14.4455 | + | 0.277691i | −0.956676 | + | 0.0183905i | ||||
\(229\) | 29.3112 | 1.93694 | 0.968470 | − | 0.249129i | \(-0.0801442\pi\) | ||||
0.968470 | + | 0.249129i | \(0.0801442\pi\) | |||||||
\(230\) | −20.7471 | + | 4.07696i | −1.36803 | + | 0.268827i | ||||
\(231\) | 0.274737i | 0.0180764i | ||||||||
\(232\) | 11.3458 | − | 5.08754i | 0.744885 | − | 0.334014i | ||||
\(233\) | 17.8139 | − | 17.8139i | 1.16703 | − | 1.16703i | 0.184122 | − | 0.982903i | \(-0.441056\pi\) |
0.982903 | − | 0.184122i | \(-0.0589443\pi\) | |||||||
\(234\) | 6.42811 | + | 5.08433i | 0.420219 | + | 0.332373i | ||||
\(235\) | −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 | ||||
\(238\) | 1.42141 | − | 3.52710i | 0.0921366 | − | 0.228628i | ||||
\(239\) | − | 15.2637i | − | 0.987328i | −0.869653 | − | 0.493664i | \(-0.835657\pi\) | ||
0.869653 | − | 0.493664i | \(-0.164343\pi\) | |||||||
\(240\) | 6.09483 | + | 8.61782i | 0.393420 | + | 0.556278i | ||||
\(241\) | 12.6676i | 0.815990i | 0.912984 | + | 0.407995i | \(0.133772\pi\) | ||||
−0.912984 | + | 0.407995i | \(0.866228\pi\) | |||||||
\(242\) | 14.4045 | + | 5.80500i | 0.925958 | + | 0.373160i | ||||
\(243\) | 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 | ||||
\(248\) | 3.61170 | + | 8.05446i | 0.229343 | + | 0.511459i | ||||
\(249\) | 7.69836 | 0.487863 | ||||||||
\(250\) | −13.3720 | + | 8.43739i | −0.845720 | + | 0.533627i | ||||
\(251\) | − | 16.0887i | − | 1.01551i | −0.861501 | − | 0.507755i | \(-0.830475\pi\) | ||
0.861501 | − | 0.507755i | \(-0.169525\pi\) | |||||||
\(252\) | −5.50724 | + | 0.105868i | −0.346924 | + | 0.00666903i | ||||
\(253\) | −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 | \(0.999962\pi\) | ||||||||
\(258\) | 1.33710 | − | 3.31789i | 0.0832445 | − | 0.206563i | ||||
\(259\) | −15.5073 | −0.963576 | ||||||||
\(260\) | 4.92251 | + | 15.3548i | 0.305281 | + | 0.952262i | ||||
\(261\) | 7.06605 | 0.437378 | ||||||||
\(262\) | −0.124254 | + | 0.308324i | −0.00767645 | + | 0.0190483i | ||||
\(263\) | 1.00613 | + | 1.00613i | 0.0620408 | + | 0.0620408i | 0.737446 | − | 0.675406i | \(-0.236031\pi\) |
−0.675406 | + | 0.737446i | \(0.736031\pi\) | |||||||
\(264\) | −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 | ||||
\(268\) | 0.386274 | + | 20.0940i | 0.0235954 | + | 1.22744i | ||||
\(269\) | 19.2720i | 1.17504i | 0.809211 | + | 0.587519i | \(0.199895\pi\) | ||||
−0.809211 | + | 0.587519i | \(0.800105\pi\) | |||||||
\(270\) | 3.31532 | + | 16.8712i | 0.201764 | + | 1.02675i | ||||
\(271\) | 28.0613 | 1.70460 | 0.852301 | − | 0.523052i | \(-0.175207\pi\) | ||||
0.852301 | + | 0.523052i | \(0.175207\pi\) | |||||||
\(272\) | 4.26474 | − | 4.60591i | 0.258588 | − | 0.279274i | ||||
\(273\) | 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 | \(0.568470\pi\) | |||||||
\(278\) | −25.7263 | − | 10.3677i | −1.54296 | − | 0.621811i | ||||
\(279\) | 5.01626i | 0.300316i | ||||||||
\(280\) | −9.11115 | − | 5.86754i | −0.544496 | − | 0.350653i | ||||
\(281\) | − | 17.4196i | − | 1.03917i | −0.854420 | − | 0.519583i | \(-0.826087\pi\) | ||
0.854420 | − | 0.519583i | \(-0.173913\pi\) | |||||||
\(282\) | −7.18392 | + | 17.8262i | −0.427796 | + | 1.06153i | ||||
\(283\) | −10.9442 | − | 10.9442i | −0.650568 | − | 0.650568i | 0.302562 | − | 0.953130i | \(-0.402158\pi\) |
−0.953130 | + | 0.302562i | \(0.902158\pi\) | |||||||
\(284\) | −6.47139 | − | 6.22728i | −0.384006 | − | 0.369521i | ||||
\(285\) | −8.81362 | − | 13.5372i | −0.522074 | − | 0.801877i | ||||
\(286\) | −0.429775 | + | 0.543365i | −0.0254131 | + | 0.0321298i | ||||
\(287\) | −3.54405 | + | 3.54405i | −0.209199 | + | 0.209199i | ||||
\(288\) | −8.55773 | − | 3.07200i | −0.504269 | − | 0.181019i | ||||
\(289\) | − | 14.5373i | − | 0.855138i | ||||||
\(290\) | 11.5411 | + | 7.75019i | 0.677714 | + | 0.455107i | ||||
\(291\) | 3.86748 | 0.226716 | ||||||||
\(292\) | −0.328575 | − | 17.0925i | −0.0192284 | − | 1.00026i | ||||
\(293\) | −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 | ||||
\(298\) | 3.14570 | + | 1.26771i | 0.182226 | + | 0.0734366i | ||||
\(299\) | −21.1648 | + | 11.5428i | −1.22399 | + | 0.667538i | ||||
\(300\) | −4.56653 | + | 10.8818i | −0.263649 | + | 0.628262i | ||||
\(301\) | 3.67267i | 0.211689i | ||||||||
\(302\) | −7.38836 | − | 2.97750i | −0.425152 | − | 0.171336i | ||||
\(303\) | −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 | 0.270768 | − | 0.962645i | \(-0.412723\pi\) |
−0.962645 | + | 0.270768i | \(0.912723\pi\) | |||||||
\(308\) | −0.00894893 | − | 0.465524i | −0.000509913 | − | 0.0265257i | ||||
\(309\) | − | 12.2915i | − | 0.699241i | ||||||
\(310\) | −5.50194 | + | 8.19312i | −0.312489 | + | 0.465338i | ||||
\(311\) | − | 18.9025i | − | 1.07186i | −0.844261 | − | 0.535932i | \(-0.819960\pi\) | ||
0.844261 | − | 0.535932i | \(-0.180040\pi\) | |||||||
\(312\) | 9.58092 | + | 7.28313i | 0.542413 | + | 0.412326i | ||||
\(313\) | 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 | \(0.116357\pi\) | |||||||
\(318\) | −11.8181 | − | 4.76268i | −0.662726 | − | 0.267078i | ||||
\(319\) | 0.597290i | 0.0334418i | ||||||||
\(320\) | −10.6080 | − | 14.4038i | −0.593006 | − | 0.805198i | ||||
\(321\) | −19.8867 | −1.10997 | ||||||||
\(322\) | 6.05626 | − | 15.0280i | 0.337502 | − | 0.837478i | ||||
\(323\) | −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 | ||||
\(328\) | −7.54910 | + | 3.38509i | −0.416829 | + | 0.186910i | ||||
\(329\) | − | 19.7323i | − | 1.08788i | ||||||
\(330\) | −0.497519 | + | 0.0977660i | −0.0273875 | + | 0.00538184i | ||||
\(331\) | −16.3191 | −0.896980 | −0.448490 | − | 0.893788i | \(-0.648038\pi\) | ||||
−0.448490 | + | 0.893788i | \(0.648038\pi\) | |||||||
\(332\) | −13.0444 | + | 0.250756i | −0.715903 | + | 0.0137620i | ||||
\(333\) | −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 | \(0.560978\pi\) | |||||||
\(338\) | 10.6146 | + | 15.0110i | 0.577356 | + | 0.816493i | ||||
\(339\) | −1.26027 | −0.0684485 | ||||||||
\(340\) | 6.89301 | + | 1.31890i | 0.373826 | + | 0.0715274i | ||||
\(341\) | −0.424022 | −0.0229621 | ||||||||
\(342\) | 12.9062 | + | 5.20117i | 0.697887 | + | 0.281247i | ||||
\(343\) | −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 | −0.492505 | − | 0.870310i | \(-0.663919\pi\) |
0.870310 | + | 0.492505i | \(0.163919\pi\) | |||||||
\(348\) | 10.3740 | − | 0.199423i | 0.556106 | − | 0.0106902i | ||||
\(349\) | −19.3224 | −1.03430 | −0.517152 | − | 0.855894i | \(-0.673008\pi\) | ||||
−0.517152 | + | 0.855894i | \(0.673008\pi\) | |||||||
\(350\) | 0.172526 | − | 12.1149i | 0.00922189 | − | 0.647571i | ||||
\(351\) | 9.38641 | + | 17.2108i | 0.501010 | + | 0.918647i | ||||
\(352\) | 0.259674 | − | 0.723380i | 0.0138407 | − | 0.0385563i | ||||
\(353\) | 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 | ||||
\(358\) | 16.7721 | + | 6.75912i | 0.886431 | + | 0.357230i | ||||
\(359\) | − | 7.57948i | − | 0.400029i | −0.979793 | − | 0.200015i | \(-0.935901\pi\) | ||
0.979793 | − | 0.200015i | \(-0.0640990\pi\) | |||||||
\(360\) | −2.15149 | − | 9.93535i | −0.113393 | − | 0.523639i | ||||
\(361\) | −18.4728 | −0.972252 | ||||||||
\(362\) | 5.88245 | + | 2.37062i | 0.309175 | + | 0.124597i | ||||
\(363\) | 9.16374 | + | 9.16374i | 0.480972 | + | 0.480972i | ||||
\(364\) | −11.9187 | − | 3.25871i | −0.624707 | − | 0.170803i | ||||
\(365\) | 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 | \(-0.375048\pi\) |
0.923937 | − | 0.382544i | \(-0.124952\pi\) | |||||||
\(368\) | 18.1709 | − | 19.6245i | 0.947224 | − | 1.02300i | ||||
\(369\) | −4.70152 | −0.244752 | ||||||||
\(370\) | −5.51832 | − | 28.0820i | −0.286884 | − | 1.45991i | ||||
\(371\) | 13.0818 | 0.679173 | ||||||||
\(372\) | 0.141573 | + | 7.36462i | 0.00734020 | + | 0.381838i | ||||
\(373\) | −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 | ||||
\(378\) | −12.2205 | − | 4.92485i | −0.628555 | − | 0.253307i | ||||
\(379\) | − | 25.4640i | − | 1.30800i | −0.756495 | − | 0.653999i | \(-0.773090\pi\) | ||
0.756495 | − | 0.653999i | \(-0.226910\pi\) | |||||||
\(380\) | 15.3751 | + | 22.6509i | 0.788724 | + | 1.16197i | ||||
\(381\) | 25.3063 | 1.29648 | ||||||||
\(382\) | −12.2977 | + | 30.5156i | −0.629207 | + | 1.56131i | ||||
\(383\) | 23.7178 | − | 23.7178i | 1.21192 | − | 1.21192i | 0.241528 | − | 0.970394i | \(-0.422351\pi\) |
0.970394 | − | 0.241528i | \(-0.0776485\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | −6.55319 | + | 0.125974i | −0.332688 | + | 0.00639537i | ||||
\(389\) | 27.0309i | 1.37052i | 0.728297 | + | 0.685262i | \(0.240312\pi\) | ||||
−0.728297 | + | 0.685262i | \(0.759688\pi\) | |||||||
\(390\) | −1.23716 | + | 13.3984i | −0.0626463 | + | 0.678454i | ||||
\(391\) | 10.4927i | 0.530638i | ||||||||
\(392\) | −10.4884 | + | 4.70312i | −0.529747 | + | 0.237543i | ||||
\(393\) | −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 | \(0.140647\pi\) | |||||||
\(398\) | −8.66356 | − | 3.49140i | −0.434265 | − | 0.175008i | ||||
\(399\) | 12.3783 | 0.619693 | ||||||||
\(400\) | 7.38324 | − | 18.5873i | 0.369162 | − | 0.929365i | ||||
\(401\) | 16.6170i | 0.829811i | 0.909864 | + | 0.414906i | \(0.136185\pi\) | ||||
−0.909864 | + | 0.414906i | \(0.863815\pi\) | |||||||
\(402\) | −6.26874 | + | 15.5553i | −0.312656 | + | 0.775825i | ||||
\(403\) | −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 | ||||
\(408\) | 4.77955 | − | 2.14319i | 0.236623 | − | 0.106104i | ||||
\(409\) | −9.84810 | −0.486957 | −0.243479 | − | 0.969906i | \(-0.578289\pi\) | ||||
−0.243479 | + | 0.969906i | \(0.578289\pi\) | |||||||
\(410\) | −7.67905 | − | 5.15673i | −0.379241 | − | 0.254673i | ||||
\(411\) | 20.4795 | 1.01018 | ||||||||
\(412\) | 0.400369 | + | 20.8272i | 0.0197248 | + | 1.02608i | ||||
\(413\) | −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 | ||||
\(416\) | −16.4715 | − | 12.0287i | −0.807581 | − | 0.589756i | ||||
\(417\) | −16.3663 | − | 16.3663i | −0.801463 | − | 0.801463i | ||||
\(418\) | −0.439652 | + | 1.09095i | −0.0215041 | + | 0.0533603i | ||||
\(419\) | 35.8407 | 1.75093 | 0.875466 | − | 0.483279i | \(-0.160554\pi\) | ||||
0.875466 | + | 0.483279i | \(0.160554\pi\) | |||||||
\(420\) | −5.07883 | − | 7.48225i | −0.247821 | − | 0.365096i | ||||
\(421\) | 29.4970i | 1.43760i | 0.695218 | + | 0.718799i | \(0.255308\pi\) | ||||
−0.695218 | + | 0.718799i | \(0.744692\pi\) | |||||||
\(422\) | 3.57202 | − | 8.86360i | 0.173883 | − | 0.431473i | ||||
\(423\) | 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 | ||||
\(428\) | 33.6967 | − | 0.647763i | 1.62879 | − | 0.0313108i | ||||
\(429\) | −0.507534 | + | 0.276798i | −0.0245040 | + | 0.0133639i | ||||
\(430\) | −6.65081 | + | 1.30693i | −0.320730 | + | 0.0630259i | ||||
\(431\) | −19.7901 | −0.953253 | −0.476627 | − | 0.879106i | \(-0.658141\pi\) | ||||
−0.476627 | + | 0.879106i | \(0.658141\pi\) | |||||||
\(432\) | −15.9583 | − | 14.7763i | −0.767796 | − | 0.710923i | ||||
\(433\) | −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 | ||||
\(438\) | 5.33237 | − | 13.2317i | 0.254790 | − | 0.632236i | ||||
\(439\) | 6.80513 | 0.324791 | 0.162396 | − | 0.986726i | \(-0.448078\pi\) | ||||
0.162396 | + | 0.986726i | \(0.448078\pi\) | |||||||
\(440\) | 0.839829 | − | 0.181864i | 0.0400373 | − | 0.00867002i | ||||
\(441\) | −6.53213 | −0.311054 | ||||||||
\(442\) | 7.94785 | − | 0.927711i | 0.378041 | − | 0.0441267i | ||||
\(443\) | 15.2445 | + | 15.2445i | 0.724286 | + | 0.724286i | 0.969475 | − | 0.245189i | \(-0.0788501\pi\) |
−0.245189 | + | 0.969475i | \(0.578850\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | 13.6851 | − | 0.789998i | 0.646560 | − | 0.0373239i | ||||
\(449\) | 8.62094 | 0.406847 | 0.203424 | − | 0.979091i | \(-0.434793\pi\) | ||||
0.203424 | + | 0.979091i | \(0.434793\pi\) | |||||||
\(450\) | 8.15026 | − | 7.92138i | 0.384207 | − | 0.373418i | ||||
\(451\) | − | 0.397417i | − | 0.0187136i | ||||||
\(452\) | 2.13545 | − | 0.0410505i | 0.100443 | − | 0.00193085i | ||||
\(453\) | −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 | \(0.0743475\pi\) | |||||||
\(458\) | −38.4477 | − | 15.4943i | −1.79654 | − | 0.724003i | ||||
\(459\) | 8.53248 | 0.398262 | ||||||||
\(460\) | 29.3692 | + | 5.61947i | 1.36935 | + | 0.262009i | ||||
\(461\) | − | 31.2187i | − | 1.45400i | −0.686638 | − | 0.726999i | \(-0.740914\pi\) | ||
0.686638 | − | 0.726999i | \(-0.259086\pi\) | |||||||
\(462\) | 0.145230 | − | 0.360373i | 0.00675671 | − | 0.0167661i | ||||
\(463\) | −17.2870 | + | 17.2870i | −0.803396 | + | 0.803396i | −0.983625 | − | 0.180229i | \(-0.942316\pi\) |
0.180229 | + | 0.983625i | \(0.442316\pi\) | |||||||
\(464\) | −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 | −0.622799 | − | 0.782382i | \(-0.714005\pi\) |
0.782382 | + | 0.622799i | \(0.214005\pi\) | |||||||
\(468\) | −5.74413 | − | 10.0671i | −0.265523 | − | 0.465353i | ||||
\(469\) | − | 17.2186i | − | 0.795079i | ||||||
\(470\) | 35.7331 | − | 7.02181i | 1.64824 | − | 0.323892i | ||||
\(471\) | 6.04756i | 0.278657i | ||||||||
\(472\) | −14.1324 | + | 6.33708i | −0.650494 | + | 0.291688i | ||||
\(473\) | −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 | ||||
\(478\) | −8.06863 | + | 20.0215i | −0.369050 | + | 0.915761i | ||||
\(479\) | 30.8029i | 1.40742i | 0.710488 | + | 0.703710i | \(0.248474\pi\) | ||||
−0.710488 | + | 0.703710i | \(0.751526\pi\) | |||||||
\(480\) | −3.43910 | − | 14.5258i | −0.156973 | − | 0.663011i | ||||
\(481\) | −15.6236 | − | 28.6473i | −0.712376 | − | 1.30621i | ||||
\(482\) | 6.69626 | − | 16.6161i | 0.305006 | − | 0.756843i | ||||
\(483\) | 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 | 0.0253815 | − | 0.999678i | \(-0.491920\pi\) |
−0.999678 | + | 0.0253815i | \(0.991920\pi\) | |||||||
\(488\) | −13.6413 | − | 30.4216i | −0.617514 | − | 1.37712i | ||||
\(489\) | 10.6945 | 0.483622 | ||||||||
\(490\) | −10.6690 | − | 7.16457i | −0.481976 | − | 0.323662i | ||||
\(491\) | 31.4355i | 1.41866i | 0.704875 | + | 0.709332i | \(0.251003\pi\) | ||||
−0.704875 | + | 0.709332i | \(0.748997\pi\) | |||||||
\(492\) | −6.90254 | + | 0.132690i | −0.311190 | + | 0.00598212i | ||||
\(493\) | 4.87820 | − | 4.87820i | 0.219703 | − | 0.219703i | ||||
\(494\) | 24.4815 | + | 19.3636i | 1.10147 | + | 0.871212i | ||||
\(495\) | 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 | ||||
\(498\) | −10.0980 | − | 4.06946i | −0.452500 | − | 0.182357i | ||||
\(499\) | 30.8204i | 1.37971i | 0.723948 | + | 0.689855i | \(0.242326\pi\) | ||||
−0.723948 | + | 0.689855i | \(0.757674\pi\) | |||||||
\(500\) | 22.0002 | − | 3.99872i | 0.983880 | − | 0.178828i | ||||
\(501\) | − | 9.92418i | − | 0.443380i | ||||||
\(502\) | −8.50473 | + | 21.1036i | −0.379585 | + | 0.941901i | ||||
\(503\) | 15.7158 | + | 15.7158i | 0.700733 | + | 0.700733i | 0.964568 | − | 0.263835i | \(-0.0849874\pi\) |
−0.263835 | + | 0.964568i | \(0.584987\pi\) | |||||||
\(504\) | 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 | ||||
\(508\) | −42.8799 | + | 0.824294i | −1.90249 | + | 0.0365722i | ||||
\(509\) | −38.9696 | −1.72730 | −0.863649 | − | 0.504093i | \(-0.831827\pi\) | ||||
−0.863649 | + | 0.504093i | \(0.831827\pi\) | |||||||
\(510\) | 4.86182 | + | 3.26487i | 0.215285 | + | 0.144571i | ||||
\(511\) | 14.6466i | 0.647927i | ||||||||
\(512\) | 21.5749 | + | 6.82085i | 0.953485 | + | 0.301442i | ||||
\(513\) | 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 | ||||
\(518\) | 20.3410 | + | 8.19738i | 0.893730 | + | 0.360172i | ||||
\(519\) | −14.4300 | −0.633407 | ||||||||
\(520\) | 1.65987 | − | 22.7430i | 0.0727903 | − | 0.997347i | ||||
\(521\) | 6.74679 | 0.295582 | 0.147791 | − | 0.989019i | \(-0.452784\pi\) | ||||
0.147791 | + | 0.989019i | \(0.452784\pi\) | |||||||
\(522\) | −9.26857 | − | 3.73522i | −0.405674 | − | 0.163486i | ||||
\(523\) | −17.7325 | − | 17.7325i | −0.775387 | − | 0.775387i | 0.203655 | − | 0.979043i | \(-0.434718\pi\) |
−0.979043 | + | 0.203655i | \(0.934718\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | 0.435740 | − | 0.470599i | 0.0189632 | − | 0.0204802i | ||||
\(529\) | 21.7065i | 0.943763i | ||||||||
\(530\) | 4.65520 | + | 23.6897i | 0.202209 | + | 1.02902i | ||||
\(531\) | −8.80153 | −0.381954 | ||||||||
\(532\) | −20.9743 | + | 0.403197i | −0.909352 | + | 0.0174808i | ||||
\(533\) | −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 | ||||
\(538\) | 10.1875 | − | 25.2792i | 0.439214 | − | 1.08986i | ||||
\(539\) | − | 0.552157i | − | 0.0237831i | ||||||
\(540\) | 4.56966 | − | 23.8826i | 0.196647 | − | 1.02774i | ||||
\(541\) | 31.9567i | 1.37393i | 0.726692 | + | 0.686963i | \(0.241057\pi\) | ||||
−0.726692 | + | 0.686963i | \(0.758943\pi\) | |||||||
\(542\) | −36.8081 | − | 14.8336i | −1.58104 | − | 0.637158i | ||||
\(543\) | 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 | ||||
\(546\) | −8.08693 | − | 6.39637i | −0.346089 | − | 0.273740i | ||||
\(547\) | 6.16147 | − | 6.16147i | 0.263445 | − | 0.263445i | −0.563007 | − | 0.826452i | \(-0.690356\pi\) |
0.826452 | + | 0.563007i | \(0.190356\pi\) | |||||||
\(548\) | −34.7012 | + | 0.667074i | −1.48236 | + | 0.0284960i | ||||
\(549\) | − | 18.9463i | − | 0.808610i | ||||||
\(550\) | 0.669590 | + | 0.688937i | 0.0285514 | + | 0.0293764i | ||||
\(551\) | 26.9111 | 1.14645 | ||||||||
\(552\) | 20.3644 | − | 9.13157i | 0.866765 | − | 0.388666i | ||||
\(553\) | 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 | \(0.0125835\pi\) | |||||||
\(558\) | 2.65167 | − | 6.57985i | 0.112254 | − | 0.278547i | ||||
\(559\) | −6.78469 | + | 3.70022i | −0.286962 | + | 0.156503i | ||||
\(560\) | 8.84947 | + | 12.5128i | 0.373958 | + | 0.528761i | ||||
\(561\) | 0.251616i | 0.0106232i | ||||||||
\(562\) | −9.20825 | + | 22.8493i | −0.388426 | + | 0.963841i | ||||
\(563\) | 6.24205 | + | 6.24205i | 0.263071 | + | 0.263071i | 0.826301 | − | 0.563229i | \(-0.190441\pi\) |
−0.563229 | + | 0.826301i | \(0.690441\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 5.19672 | + | 11.5892i | 0.218049 | + | 0.486273i | ||||
\(569\) | − | 10.8680i | − | 0.455611i | −0.973707 | − | 0.227805i | \(-0.926845\pi\) | ||
0.973707 | − | 0.227805i | \(-0.0731550\pi\) | |||||||
\(570\) | 4.40488 | + | 22.4159i | 0.184500 | + | 0.938897i | ||||
\(571\) | 19.4497i | 0.813943i | 0.913441 | + | 0.406971i | \(0.133415\pi\) | ||||
−0.913441 | + | 0.406971i | \(0.866585\pi\) | |||||||
\(572\) | 0.850968 | − | 0.485548i | 0.0355808 | − | 0.0203018i | ||||
\(573\) | −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 | \(0.130567\pi\) | |||||||
\(578\) | −7.68465 | + | 19.0687i | −0.319639 | + | 0.793153i | ||||
\(579\) | − | 1.49703i | − | 0.0622146i | ||||||
\(580\) | −11.0416 | − | 16.2667i | −0.458477 | − | 0.675439i | ||||
\(581\) | 11.1777 | 0.463730 | ||||||||
\(582\) | −5.07298 | − | 2.04440i | −0.210282 | − | 0.0847433i | ||||
\(583\) | −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 | 0.709721 | − | 0.704482i | \(-0.248821\pi\) |
−0.704482 | + | 0.709721i | \(0.748821\pi\) | |||||||
\(588\) | −9.59014 | + | 0.184355i | −0.395491 | + | 0.00760265i | ||||
\(589\) | 19.1044i | 0.787184i | ||||||||
\(590\) | −14.3756 | − | 9.65369i | −0.591835 | − | 0.397436i | ||||
\(591\) | −10.8266 | −0.445346 | ||||||||
\(592\) | 26.5625 | + | 24.5950i | 1.09171 | + | 1.01085i | ||||
\(593\) | 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 | ||||
\(598\) | 33.8636 | − | 3.95273i | 1.38479 | − | 0.161639i | ||||
\(599\) | −9.98842 | −0.408116 | −0.204058 | − | 0.978959i | \(-0.565413\pi\) | ||||
−0.204058 | + | 0.978959i | \(0.565413\pi\) | |||||||
\(600\) | 11.7422 | − | 11.8598i | 0.479374 | − | 0.484174i | ||||
\(601\) | 26.6091 | 1.08541 | 0.542705 | − | 0.839924i | \(-0.317400\pi\) | ||||
0.542705 | + | 0.839924i | \(0.317400\pi\) | |||||||
\(602\) | 1.94143 | − | 4.81745i | 0.0791266 | − | 0.196345i | ||||
\(603\) | 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 | −0.538660 | − | 0.842523i | \(-0.681069\pi\) |
0.842523 | + | 0.538660i | \(0.181069\pi\) | |||||||
\(608\) | −32.5921 | − | 11.6997i | −1.32178 | − | 0.474486i | ||||
\(609\) | −8.88950 | −0.360221 | ||||||||
\(610\) | 20.7807 | − | 30.9452i | 0.841387 | − | 1.25294i | ||||
\(611\) | 36.4524 | − | 19.8803i | 1.47471 | − | 0.804273i | ||||
\(612\) | −5.04377 | + | 0.0969582i | −0.203882 | + | 0.00391930i | ||||
\(613\) | 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 | \(0.214122\pi\) | |||||||
\(618\) | −6.49749 | + | 16.1229i | −0.261367 | + | 0.648557i | ||||
\(619\) | 8.51161i | 0.342111i | 0.985261 | + | 0.171055i | \(0.0547177\pi\) | ||||
−0.985261 | + | 0.171055i | \(0.945282\pi\) | |||||||
\(620\) | 11.5479 | − | 7.83854i | 0.463775 | − | 0.314803i | ||||
\(621\) | 36.3546 | 1.45886 | ||||||||
\(622\) | −9.99215 | + | 24.7945i | −0.400649 | + | 0.994169i | ||||
\(623\) | 3.91105 | + | 3.91105i | 0.156693 | + | 0.156693i | ||||
\(624\) | −8.71736 | − | 14.6179i | −0.348974 | − | 0.585185i | ||||
\(625\) | 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 | ||||
\(628\) | −0.196986 | − | 10.2472i | −0.00786058 | − | 0.408908i | ||||
\(629\) | −14.2022 | −0.566281 | ||||||||
\(630\) | 1.67933 | + | 8.54589i | 0.0669060 | + | 0.340476i | ||||
\(631\) | −7.04210 | −0.280341 | −0.140171 | − | 0.990127i | \(-0.544765\pi\) | ||||
−0.140171 | + | 0.990127i | \(0.544765\pi\) | |||||||
\(632\) | 1.09267 | + | 2.43677i | 0.0434641 | + | 0.0969296i | ||||
\(633\) | 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 | ||||
\(638\) | 0.315736 | − | 0.783467i | 0.0125001 | − | 0.0310178i | ||||
\(639\) | 7.21768i | 0.285527i | ||||||||
\(640\) | 6.30049 | + | 24.5011i | 0.249049 | + | 0.968491i | ||||
\(641\) | −36.7633 | −1.45206 | −0.726032 | − | 0.687661i | \(-0.758638\pi\) | ||||
−0.726032 | + | 0.687661i | \(0.758638\pi\) | |||||||
\(642\) | 26.0854 | + | 10.5124i | 1.02951 | + | 0.414891i | ||||
\(643\) | 20.9784 | − | 20.9784i | 0.827306 | − | 0.827306i | −0.159838 | − | 0.987143i | \(-0.551097\pi\) |
0.987143 | + | 0.159838i | \(0.0510971\pi\) | |||||||
\(644\) | −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 | −0.512678 | − | 0.858581i | \(-0.671346\pi\) |
0.858581 | + | 0.512678i | \(0.171346\pi\) | |||||||
\(648\) | −1.84529 | − | 4.11519i | −0.0724899 | − | 0.161660i | ||||
\(649\) | − | 0.743988i | − | 0.0292041i | ||||||
\(650\) | 22.5543 | − | 11.8871i | 0.884653 | − | 0.466251i | ||||
\(651\) | − | 6.31075i | − | 0.247338i | ||||||
\(652\) | −18.1211 | + | 0.348349i | −0.709679 | + | 0.0136424i | ||||
\(653\) | −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 | ||||
\(658\) | −10.4308 | + | 25.8829i | −0.406634 | + | 1.00902i | ||||
\(659\) | −30.2389 | −1.17794 | −0.588970 | − | 0.808155i | \(-0.700466\pi\) | ||||
−0.588970 | + | 0.808155i | \(0.700466\pi\) | |||||||
\(660\) | 0.704278 | + | 0.134756i | 0.0274140 | + | 0.00524535i | ||||
\(661\) | 44.3556i | 1.72523i | 0.505857 | + | 0.862617i | \(0.331176\pi\) | ||||
−0.505857 | + | 0.862617i | \(0.668824\pi\) | |||||||
\(662\) | 21.4059 | + | 8.62653i | 0.831962 | + | 0.335279i | ||||
\(663\) | 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 | ||||
\(668\) | 0.323258 | + | 16.8159i | 0.0125072 | + | 0.650626i | ||||
\(669\) | −7.42935 | −0.287235 | ||||||||
\(670\) | 31.1810 | − | 6.12728i | 1.20463 | − | 0.236718i | ||||
\(671\) | 1.60152 | 0.0618261 | ||||||||
\(672\) | 10.7661 | + | 3.86475i | 0.415312 | + | 0.149086i | ||||
\(673\) | 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 | ||||
\(676\) | −5.98810 | − | 25.3010i | −0.230312 | − | 0.973117i | ||||
\(677\) | −9.05251 | − | 9.05251i | −0.347916 | − | 0.347916i | 0.511417 | − | 0.859333i | \(-0.329121\pi\) |
−0.859333 | + | 0.511417i | \(0.829121\pi\) | |||||||
\(678\) | 1.65310 | + | 0.666198i | 0.0634870 | + | 0.0255852i | ||||
\(679\) | 5.61543 | 0.215501 | ||||||||
\(680\) | −8.34439 | − | 5.37375i | −0.319993 | − | 0.206074i | ||||
\(681\) | − | 14.7167i | − | 0.563946i | ||||||
\(682\) | 0.556191 | + | 0.224144i | 0.0212977 | + | 0.00858292i | ||||
\(683\) | 19.2696 | − | 19.2696i | 0.737331 | − | 0.737331i | −0.234730 | − | 0.972061i | \(-0.575420\pi\) |
0.972061 | + | 0.234730i | \(0.0754205\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | 5.82496 | − | 6.29095i | 0.222074 | − | 0.239840i | ||||
\(689\) | 13.1799 | + | 24.1666i | 0.502116 | + | 0.920675i | ||||
\(690\) | 20.7149 | + | 13.9107i | 0.788603 | + | 0.529572i | ||||
\(691\) | −19.1766 | −0.729511 | −0.364756 | − | 0.931103i | \(-0.618847\pi\) | ||||
−0.364756 | + | 0.931103i | \(0.618847\pi\) | |||||||
\(692\) | 24.4507 | − | 0.470025i | 0.929477 | − | 0.0178677i | ||||
\(693\) | −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 | ||||
\(698\) | 25.3453 | + | 10.2141i | 0.959332 | + | 0.386609i | ||||
\(699\) | −29.7302 | −1.12450 | ||||||||
\(700\) | −6.63043 | + | 15.8000i | −0.250607 | + | 0.597184i | ||||
\(701\) | 1.64833 | 0.0622567 | 0.0311284 | − | 0.999515i | \(-0.490090\pi\) | ||||
0.0311284 | + | 0.999515i | \(0.490090\pi\) | |||||||
\(702\) | −3.21429 | − | 27.5373i | −0.121315 | − | 1.03933i | ||||
\(703\) | −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 | ||||
\(708\) | −12.9220 | + | 0.248403i | −0.485637 | + | 0.00933556i | ||||
\(709\) | 19.9349 | 0.748672 | 0.374336 | − | 0.927293i | \(-0.377871\pi\) | ||||
0.374336 | + | 0.927293i | \(0.377871\pi\) | |||||||
\(710\) | −7.91650 | + | 11.7887i | −0.297101 | + | 0.442423i | ||||
\(711\) | 1.51760i | 0.0569146i | ||||||||
\(712\) | 3.73563 | + | 8.33085i | 0.139999 | + | 0.312212i | ||||
\(713\) | 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 | ||||
\(718\) | −4.00662 | + | 9.94203i | −0.149526 | + | 0.371033i | ||||
\(719\) | −30.5169 | −1.13809 | −0.569044 | − | 0.822307i | \(-0.692687\pi\) | ||||
−0.569044 | + | 0.822307i | \(0.692687\pi\) | |||||||
\(720\) | −2.42986 | + | 14.1695i | −0.0905555 | + | 0.528068i | ||||
\(721\) | − | 17.8469i | − | 0.664652i | ||||||
\(722\) | 24.2308 | + | 9.76499i | 0.901778 | + | 0.363415i | ||||
\(723\) | 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 | −0.945315 | − | 0.326159i | \(-0.894246\pi\) |
0.326159 | + | 0.945315i | \(0.394246\pi\) | |||||||
\(728\) | 13.9111 | + | 10.5748i | 0.515581 | + | 0.391929i | ||||
\(729\) | − | 21.8124i | − | 0.807867i | ||||||
\(730\) | −26.5234 | + | 5.21204i | −0.981674 | + | 0.192906i | ||||
\(731\) | 3.36359i | 0.124407i | ||||||||
\(732\) | −0.534717 | − | 27.8160i | −0.0197637 | − | 1.02811i | ||||
\(733\) | −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 | ||||
\(738\) | 6.16701 | + | 2.48529i | 0.227011 | + | 0.0914849i | ||||
\(739\) | − | 38.8417i | − | 1.42881i | −0.699731 | − | 0.714407i | \(-0.746697\pi\) | ||
0.699731 | − | 0.714407i | \(-0.253303\pi\) | |||||||
\(740\) | −7.60616 | + | 39.7523i | −0.279608 | + | 1.46133i | ||||
\(741\) | 12.4712 | + | 22.8671i | 0.458141 | + | 0.840044i | ||||
\(742\) | −17.1595 | − | 6.91523i | −0.629943 | − | 0.253866i | ||||
\(743\) | 1.46488 | − | 1.46488i | 0.0537411 | − | 0.0537411i | −0.679726 | − | 0.733467i | \(-0.737901\pi\) |
0.733467 | + | 0.679726i | \(0.237901\pi\) | |||||||
\(744\) | 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 | ||||
\(748\) | −0.00819582 | − | 0.426347i | −0.000299669 | − | 0.0155888i | ||||
\(749\) | −28.8747 | −1.05506 | ||||||||
\(750\) | 18.1992 | + | 4.11778i | 0.664542 | + | 0.150360i | ||||
\(751\) | − | 3.07742i | − | 0.112297i | −0.998422 | − | 0.0561484i | \(-0.982118\pi\) | ||
0.998422 | − | 0.0561484i | \(-0.0178820\pi\) | |||||||
\(752\) | −31.2960 | + | 33.7996i | −1.14125 | + | 1.23255i | ||||
\(753\) | −13.4255 | + | 13.4255i | −0.489253 | + | 0.489253i | ||||
\(754\) | −17.5813 | − | 13.9060i | −0.640275 | − | 0.506426i | ||||
\(755\) | −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 | \(-0.557357\pi\) | |||||||
\(758\) | −13.4606 | + | 33.4012i | −0.488913 | + | 1.21319i | ||||
\(759\) | 1.07207i | 0.0389136i | ||||||||
\(760\) | −8.19393 | − | 37.8388i | −0.297225 | − | 1.37256i | ||||
\(761\) | − | 9.64916i | − | 0.349782i | −0.984588 | − | 0.174891i | \(-0.944043\pi\) | ||
0.984588 | − | 0.174891i | \(-0.0559572\pi\) | |||||||
\(762\) | −33.1943 | − | 13.3773i | −1.20250 | − | 0.484607i | ||||
\(763\) | −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 | ||||
\(768\) | 14.3375 | + | 12.2865i | 0.517362 | + | 0.443352i | ||||
\(769\) | 13.2266 | 0.476963 | 0.238481 | − | 0.971147i | \(-0.423350\pi\) | ||||
0.238481 | + | 0.971147i | \(0.423350\pi\) | |||||||
\(770\) | −0.722379 | + | 0.141953i | −0.0260327 | + | 0.00511562i | ||||
\(771\) | 26.7519i | 0.963445i | ||||||||
\(772\) | 0.0487625 | + | 2.53663i | 0.00175500 | + | 0.0912952i | ||||
\(773\) | 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 | ||||
\(778\) | 14.2889 | − | 35.4566i | 0.512284 | − | 1.27118i | ||||
\(779\) | −17.9057 | −0.641540 | ||||||||
\(780\) | 8.70538 | − | 16.9207i | 0.311703 | − | 0.605860i | ||||
\(781\) | −0.610107 | −0.0218313 | ||||||||
\(782\) | 5.54659 | − | 13.7633i | 0.198346 | − | 0.492175i | ||||
\(783\) | −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 | 0.794388 | − | 0.607411i | \(-0.207792\pi\) |
−0.607411 | + | 0.794388i | \(0.707792\pi\) | |||||||
\(788\) | 18.3450 | − | 0.352651i | 0.653512 | − | 0.0125627i | ||||
\(789\) | − | 1.67917i | − | 0.0597801i | ||||||
\(790\) | −1.66454 | + | 2.47872i | −0.0592216 | + | 0.0881888i | ||||
\(791\) | −1.82987 | −0.0650626 | ||||||||
\(792\) | −0.563608 | + | 0.252727i | −0.0200269 | + | 0.00898027i | ||||
\(793\) | 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 | \(-0.542568\pi\) | |||||||
\(798\) | −16.2367 | − | 6.54338i | −0.574774 | − | 0.231633i | ||||
\(799\) | − | 18.0717i | − | 0.639331i | ||||||
\(800\) | −19.5101 | + | 20.4781i | −0.689788 | + | 0.724012i | ||||
\(801\) | 5.18839i | 0.183323i | ||||||||
\(802\) | 8.78397 | − | 21.7965i | 0.310173 | − | 0.769662i | ||||
\(803\) | −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 | ||||
\(806\) | 9.87200 | − | 12.4812i | 0.347726 | − | 0.439630i | ||||
\(807\) | 16.0819 | − | 16.0819i | 0.566110 | − | 0.566110i | ||||
\(808\) | −3.04671 | − | 6.79449i | −0.107183 | − | 0.239029i | ||||
\(809\) | − | 2.77546i | − | 0.0975801i | −0.998809 | − | 0.0487900i | \(-0.984463\pi\) | ||
0.998809 | − | 0.0487900i | \(-0.0155365\pi\) | |||||||
\(810\) | 2.81105 | − | 4.18603i | 0.0987704 | − | 0.147082i | ||||
\(811\) | 34.9977 | 1.22894 | 0.614468 | − | 0.788942i | \(-0.289371\pi\) | ||||
0.614468 | + | 0.788942i | \(0.289371\pi\) | |||||||
\(812\) | 15.0627 | − | 0.289555i | 0.528597 | − | 0.0101614i | ||||
\(813\) | −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 | ||||
\(818\) | 12.9178 | + | 5.20585i | 0.451660 | + | 0.182018i | ||||
\(819\) | 4.75456 | + | 8.71792i | 0.166138 | + | 0.304629i | ||||
\(820\) | 7.34672 | + | 10.8234i | 0.256558 | + | 0.377968i | ||||
\(821\) | 40.4443i | 1.41152i | 0.708453 | + | 0.705758i | \(0.249393\pi\) | ||||
−0.708453 | + | 0.705758i | \(0.750607\pi\) | |||||||
\(822\) | −26.8631 | − | 10.8258i | −0.936957 | − | 0.377592i | ||||
\(823\) | 8.51119 | + | 8.51119i | 0.296681 | + | 0.296681i | 0.839713 | − | 0.543031i | \(-0.182723\pi\) |
−0.543031 | + | 0.839713i | \(0.682723\pi\) | |||||||
\(824\) | 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 | 0.140131 | − | 0.990133i | \(-0.455248\pi\) |
−0.990133 | + | 0.140131i | \(0.955248\pi\) | |||||||
\(828\) | −21.4902 | + | 0.413113i | −0.746835 | + | 0.0143567i | ||||
\(829\) | 3.08143i | 0.107023i | 0.998567 | + | 0.0535113i | \(0.0170413\pi\) | ||||
−0.998567 | + | 0.0535113i | \(0.982959\pi\) | |||||||
\(830\) | 3.97763 | + | 20.2417i | 0.138066 | + | 0.702598i | ||||
\(831\) | − | 21.2076i | − | 0.735683i | ||||||
\(832\) | 15.2472 | + | 24.4852i | 0.528600 | + | 0.848871i | ||||
\(833\) | −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 | ||||
\(838\) | −47.0124 | − | 18.9459i | −1.62402 | − | 0.654476i | ||||
\(839\) | − | 25.5414i | − | 0.881789i | −0.897559 | − | 0.440894i | \(-0.854661\pi\) | ||
0.897559 | − | 0.440894i | \(-0.145339\pi\) | |||||||
\(840\) | 2.70669 | + | 12.4992i | 0.0933898 | + | 0.431265i | ||||
\(841\) | 9.67385 | 0.333581 | ||||||||
\(842\) | 15.5926 | − | 38.6914i | 0.537355 | − | 1.33339i | ||||
\(843\) | −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 | ||||
\(848\) | −22.4079 | − | 20.7481i | −0.769491 | − | 0.712493i | ||||
\(849\) | 18.2652i | 0.626861i | ||||||||
\(850\) | 0.158007 | − | 11.0954i | 0.00541958 | − | 0.380569i | ||||
\(851\) | −60.5119 | −2.07432 | ||||||||
\(852\) | 0.203703 | + | 10.5966i | 0.00697874 | + | 0.363035i | ||||
\(853\) | 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 | \(0.605243\pi\) | |||||||
\(858\) | 0.812054 | − | 0.0947868i | 0.0277231 | − | 0.00323597i | ||||
\(859\) | 47.8646 | 1.63312 | 0.816559 | − | 0.577261i | \(-0.195879\pi\) | ||||
0.816559 | + | 0.577261i | \(0.195879\pi\) | |||||||
\(860\) | 9.41475 | + | 1.80141i | 0.321040 | + | 0.0614275i | ||||
\(861\) | 5.91479 | 0.201575 | ||||||||
\(862\) | 25.9587 | + | 10.4613i | 0.884156 | + | 0.356314i | ||||
\(863\) | 7.98468 | − | 7.98468i | 0.271802 | − | 0.271802i | −0.558023 | − | 0.829825i | \(-0.688440\pi\) |
0.829825 | + | 0.558023i | \(0.188440\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | 0.205558 | + | 10.6932i | 0.00697710 | + | 0.362949i | ||||
\(869\) | −0.128282 | −0.00435168 | ||||||||
\(870\) | −3.16336 | − | 16.0979i | −0.107248 | − | 0.545771i | ||||
\(871\) | 31.8087 | − | 17.3477i | 1.07780 | − | 0.587806i | ||||
\(872\) | −1.81719 | − | 4.05251i | −0.0615377 | − | 0.137235i | ||||
\(873\) | 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 | \(0.294323\pi\) | |||||||
\(878\) | −8.92631 | − | 3.59729i | −0.301248 | − | 0.121403i | ||||
\(879\) | 2.60923i | 0.0880071i | ||||||||
\(880\) | −1.19774 | − | 0.205395i | −0.0403759 | − | 0.00692385i | ||||
\(881\) | −23.0235 | −0.775681 | −0.387840 | − | 0.921727i | \(-0.626779\pi\) | ||||
−0.387840 | + | 0.921727i | \(0.626779\pi\) | |||||||
\(882\) | 8.56822 | + | 3.45298i | 0.288507 | + | 0.116268i | ||||
\(883\) | 7.69986 | + | 7.69986i | 0.259121 | + | 0.259121i | 0.824696 | − | 0.565576i | \(-0.191346\pi\) |
−0.565576 | + | 0.824696i | \(0.691346\pi\) | |||||||
\(884\) | −10.9156 | − | 2.98447i | −0.367132 | − | 0.100378i | ||||
\(885\) | −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 | −0.946384 | − | 0.323044i | \(-0.895294\pi\) |
0.323044 | + | 0.946384i | \(0.395294\pi\) | |||||||
\(888\) | 12.3599 | + | 27.5639i | 0.414772 | + | 0.924984i | ||||
\(889\) | 36.7438 | 1.23235 | ||||||||
\(890\) | −5.69073 | + | 8.47425i | −0.190754 | + | 0.284058i | ||||
\(891\) | 0.216642 | 0.00725776 | ||||||||
\(892\) | 12.5886 | − | 0.241994i | 0.421496 | − | 0.00810256i | ||||
\(893\) | 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 | ||||
\(898\) | −11.3081 | − | 4.55715i | −0.377357 | − | 0.152074i | ||||
\(899\) | − | 13.7198i | − | 0.457582i | ||||||
\(900\) | −14.8781 | + | 6.08216i | −0.495936 | + | 0.202739i | ||||
\(901\) | 11.9809 | 0.399141 | ||||||||
\(902\) | −0.210081 | + | 0.521294i | −0.00699492 | + | 0.0173572i | ||||
\(903\) | 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 | −0.164911 | − | 0.986308i | \(-0.552734\pi\) |
0.986308 | + | 0.164911i | \(0.0527336\pi\) | |||||||
\(908\) | 0.479364 | + | 24.9365i | 0.0159082 | + | 0.827548i | ||||
\(909\) | − | 4.23156i | − | 0.140352i | ||||||
\(910\) | −1.79632 | + | 19.4540i | −0.0595473 | + | 0.644893i | ||||
\(911\) | 54.7745i | 1.81476i | 0.420313 | + | 0.907379i | \(0.361920\pi\) | ||||
−0.420313 | + | 0.907379i | \(0.638080\pi\) | |||||||
\(912\) | −21.2030 | − | 19.6324i | −0.702101 | − | 0.650094i | ||||
\(913\) | −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 | ||||
\(918\) | −11.1921 | − | 4.51039i | −0.369394 | − | 0.148865i | ||||
\(919\) | −33.2299 | −1.09615 | −0.548076 | − | 0.836428i | \(-0.684640\pi\) | ||||
−0.548076 | + | 0.836428i | \(0.684640\pi\) | |||||||
\(920\) | −35.5532 | − | 22.8961i | −1.17215 | − | 0.754862i | ||||
\(921\) | 20.2320i | 0.666665i | ||||||||
\(922\) | −16.5026 | + | 40.9496i | −0.543486 | + | 1.34860i | ||||
\(923\) | −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 | ||||
\(928\) | 23.4060 | + | 8.40214i | 0.768340 | + | 0.275814i | ||||
\(929\) | 33.1243 | 1.08677 | 0.543386 | − | 0.839483i | \(-0.317142\pi\) | ||||
0.543386 | + | 0.839483i | \(0.317142\pi\) | |||||||
\(930\) | 11.4281 | − | 2.24570i | 0.374742 | − | 0.0736394i | ||||
\(931\) | −24.8776 | −0.815331 | ||||||||
\(932\) | 50.3759 | − | 0.968394i | 1.65012 | − | 0.0317208i | ||||
\(933\) | −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 | ||||
\(936\) | 2.21297 | + | 16.2415i | 0.0723332 | + | 0.530871i | ||||
\(937\) | 23.6889 | + | 23.6889i | 0.773882 | + | 0.773882i | 0.978783 | − | 0.204901i | \(-0.0656872\pi\) |
−0.204901 | + | 0.978783i | \(0.565687\pi\) | |||||||
\(938\) | −9.10198 | + | 22.5857i | −0.297190 | + | 0.737448i | ||||
\(939\) | −9.80606 | −0.320009 | ||||||||
\(940\) | −50.5831 | − | 9.67850i | −1.64984 | − | 0.315678i | ||||
\(941\) | − | 12.1245i | − | 0.395247i | −0.980278 | − | 0.197624i | \(-0.936678\pi\) | ||
0.980278 | − | 0.197624i | \(-0.0633224\pi\) | |||||||
\(942\) | 3.19683 | − | 7.93261i | 0.104158 | − | 0.258458i | ||||
\(943\) | −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 | 0.626885 | − | 0.779112i | \(-0.284330\pi\) |
−0.779112 | + | 0.626885i | \(0.784330\pi\) | |||||||
\(948\) | 0.0428309 | + | 2.22807i | 0.00139108 | + | 0.0723643i | ||||
\(949\) | −27.0573 | + | 14.7565i | −0.878318 | + | 0.479015i | ||||
\(950\) | 31.0402 | − | 30.1686i | 1.00708 | − | 0.978798i | ||||
\(951\) | −17.1295 | −0.555461 | ||||||||
\(952\) | 6.93973 | − | 3.11184i | 0.224918 | − | 0.100855i | ||||
\(953\) | −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 | ||||
\(958\) | 16.2828 | − | 40.4042i | 0.526075 | − | 1.30540i | ||||
\(959\) | 29.7355 | 0.960210 | ||||||||
\(960\) | −3.16749 | + | 20.8716i | −0.102230 | + | 0.673627i | ||||
\(961\) | −21.2602 | −0.685811 | ||||||||
\(962\) | 5.35016 | + | 45.8357i | 0.172496 | + | 1.47780i | ||||
\(963\) | −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 | 0.584261 | − | 0.811566i | \(-0.301385\pi\) |
−0.811566 | + | 0.584261i | \(0.801385\pi\) | |||||||
\(968\) | 12.7086 | + | 28.3416i | 0.408471 | + | 0.910933i | ||||
\(969\) | 11.3366 | 0.364185 | ||||||||
\(970\) | 1.99827 | + | 10.1689i | 0.0641606 | + | 0.326505i | ||||
\(971\) | 16.4004i | 0.526315i | 0.964753 | + | 0.263158i | \(0.0847639\pi\) | ||||
−0.964753 | + | 0.263158i | \(0.915236\pi\) | |||||||
\(972\) | 0.554676 | + | 28.8543i | 0.0177913 | + | 0.925502i | ||||
\(973\) | −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 | \(0.181485\pi\) | |||||||
\(978\) | −14.0280 | − | 5.65327i | −0.448566 | − | 0.180772i | ||||
\(979\) | −0.438572 | −0.0140168 | ||||||||
\(980\) | 10.2073 | + | 15.0376i | 0.326059 | + | 0.480358i | ||||
\(981\) | − | 2.52388i | − | 0.0805811i | ||||||
\(982\) | 16.6173 | − | 41.2340i | 0.530278 | − | 1.31583i | ||||
\(983\) | −2.87573 | + | 2.87573i | −0.0917216 | + | 0.0917216i | −0.751479 | − | 0.659757i | \(-0.770659\pi\) |
0.659757 | + | 0.751479i | \(0.270659\pi\) | |||||||
\(984\) | 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 | ||||
\(988\) | −21.8765 | − | 38.3406i | −0.695985 | − | 1.21978i | ||||
\(989\) | 14.3314i | 0.455711i | ||||||||
\(990\) | −0.573310 | − | 0.384996i | −0.0182210 | − | 0.0122360i | ||||
\(991\) | − | 12.4832i | − | 0.396541i | −0.980147 | − | 0.198271i | \(-0.936468\pi\) | ||
0.980147 | − | 0.198271i | \(-0.0635325\pi\) | |||||||
\(992\) | −5.96476 | + | 16.6162i | −0.189381 | + | 0.527564i | ||||
\(993\) | 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 | \(0.508288\pi\) | |||||||
\(998\) | 16.2921 | − | 40.4272i | 0.515718 | − | 1.27970i | ||||
\(999\) | 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.207.4 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.207.20 | yes | 64 | |
5.3 | odd | 4 | inner | 260.2.p.d.103.13 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.207.29 | yes | 64 | |
20.3 | even | 4 | inner | 260.2.p.d.103.29 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.207.13 | yes | 64 | |
65.38 | odd | 4 | inner | 260.2.p.d.103.20 | yes | 64 | |
260.103 | even | 4 | inner | 260.2.p.d.103.4 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.4 | ✓ | 64 | 260.103 | even | 4 | inner | |
260.2.p.d.103.13 | yes | 64 | 5.3 | odd | 4 | inner | |
260.2.p.d.103.20 | yes | 64 | 65.38 | odd | 4 | inner | |
260.2.p.d.103.29 | yes | 64 | 20.3 | even | 4 | inner | |
260.2.p.d.207.4 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.207.13 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.20 | yes | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.207.29 | yes | 64 | 13.12 | even | 2 | inner |