Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(52,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bv (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 52.16 | ||
Character | \(\chi\) | \(=\) | 525.52 |
Dual form | 525.2.bv.a.313.16 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.221735 | − | 0.577641i | −0.156791 | − | 0.408454i | 0.832573 | − | 0.553915i | \(-0.186867\pi\) |
−0.989364 | + | 0.145461i | \(0.953533\pi\) | |||||||
\(3\) | −0.0523360 | + | 0.998630i | −0.0302162 | + | 0.576559i | ||||
\(4\) | 1.20179 | − | 1.08209i | 0.600894 | − | 0.541047i | ||||
\(5\) | 1.83440 | + | 1.27866i | 0.820371 | + | 0.571832i | ||||
\(6\) | 0.588454 | − | 0.191200i | 0.240235 | − | 0.0780571i | ||||
\(7\) | 2.58948 | − | 0.542755i | 0.978732 | − | 0.205142i | ||||
\(8\) | −1.99414 | − | 1.01606i | −0.705034 | − | 0.359233i | ||||
\(9\) | −0.994522 | − | 0.104528i | −0.331507 | − | 0.0348428i | ||||
\(10\) | 0.331851 | − | 1.34315i | 0.104941 | − | 0.424741i | ||||
\(11\) | −0.691816 | − | 6.58219i | −0.208590 | − | 1.98460i | −0.170707 | − | 0.985322i | \(-0.554605\pi\) |
−0.0378831 | − | 0.999282i | \(-0.512061\pi\) | |||||||
\(12\) | 1.01771 | + | 1.25677i | 0.293789 | + | 0.362799i | ||||
\(13\) | 0.653458 | + | 4.12577i | 0.181237 | + | 1.14428i | 0.895716 | + | 0.444627i | \(0.146664\pi\) |
−0.714479 | + | 0.699657i | \(0.753336\pi\) | |||||||
\(14\) | −0.887697 | − | 1.37544i | −0.237247 | − | 0.367602i | ||||
\(15\) | −1.37291 | + | 1.76497i | −0.354484 | + | 0.455713i | ||||
\(16\) | 0.193331 | − | 1.83942i | 0.0483327 | − | 0.459855i | ||||
\(17\) | 4.91627 | − | 3.19266i | 1.19237 | − | 0.774334i | 0.213127 | − | 0.977025i | \(-0.431635\pi\) |
0.979243 | + | 0.202691i | \(0.0649686\pi\) | |||||||
\(18\) | 0.160141 | + | 0.597654i | 0.0377456 | + | 0.140868i | ||||
\(19\) | −3.20006 | + | 3.55403i | −0.734144 | + | 0.815350i | −0.988414 | − | 0.151784i | \(-0.951498\pi\) |
0.254270 | + | 0.967133i | \(0.418165\pi\) | |||||||
\(20\) | 3.58819 | − | 0.448326i | 0.802344 | − | 0.100249i | ||||
\(21\) | 0.406489 | + | 2.61434i | 0.0887031 | + | 0.570495i | ||||
\(22\) | −3.64874 | + | 1.85912i | −0.777913 | + | 0.396367i | ||||
\(23\) | −4.18192 | + | 1.60529i | −0.871991 | + | 0.334726i | −0.752882 | − | 0.658155i | \(-0.771337\pi\) |
−0.119109 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(24\) | 1.11904 | − | 1.93823i | 0.228422 | − | 0.395639i | ||||
\(25\) | 1.73008 | + | 4.69114i | 0.346016 | + | 0.938229i | ||||
\(26\) | 2.23832 | − | 1.29229i | 0.438970 | − | 0.253440i | ||||
\(27\) | 0.156434 | − | 0.987688i | 0.0301058 | − | 0.190081i | ||||
\(28\) | 2.52469 | − | 3.45434i | 0.477122 | − | 0.652809i | ||||
\(29\) | 0.941669 | + | 0.305967i | 0.174864 | + | 0.0568166i | 0.395140 | − | 0.918621i | \(-0.370696\pi\) |
−0.220277 | + | 0.975437i | \(0.570696\pi\) | |||||||
\(30\) | 1.32394 | + | 0.401691i | 0.241717 | + | 0.0733385i | ||||
\(31\) | −0.781883 | + | 3.67847i | −0.140430 | + | 0.660673i | 0.850464 | + | 0.526033i | \(0.176321\pi\) |
−0.990895 | + | 0.134640i | \(0.957012\pi\) | |||||||
\(32\) | −5.42902 | + | 1.45470i | −0.959724 | + | 0.257157i | ||||
\(33\) | 6.60937 | − | 0.346383i | 1.15054 | − | 0.0602975i | ||||
\(34\) | −2.93432 | − | 2.13191i | −0.503232 | − | 0.365619i | ||||
\(35\) | 5.44415 | + | 2.31542i | 0.920230 | + | 0.391378i | ||||
\(36\) | −1.30831 | + | 0.950546i | −0.218052 | + | 0.158424i | ||||
\(37\) | 1.10527 | − | 0.895029i | 0.181705 | − | 0.147142i | −0.534153 | − | 0.845388i | \(-0.679369\pi\) |
0.715858 | + | 0.698246i | \(0.246036\pi\) | |||||||
\(38\) | 2.76252 | + | 1.06043i | 0.448139 | + | 0.172025i | ||||
\(39\) | −4.15432 | + | 0.436636i | −0.665223 | + | 0.0699178i | ||||
\(40\) | −2.35886 | − | 4.41369i | −0.372968 | − | 0.697865i | ||||
\(41\) | −1.91776 | + | 2.63957i | −0.299504 | + | 0.412232i | −0.932072 | − | 0.362273i | \(-0.882001\pi\) |
0.632568 | + | 0.774505i | \(0.282001\pi\) | |||||||
\(42\) | 1.42002 | − | 0.814496i | 0.219113 | − | 0.125679i | ||||
\(43\) | 4.29653 | − | 4.29653i | 0.655214 | − | 0.655214i | −0.299029 | − | 0.954244i | \(-0.596663\pi\) |
0.954244 | + | 0.299029i | \(0.0966629\pi\) | |||||||
\(44\) | −7.95396 | − | 7.16178i | −1.19911 | − | 1.07968i | ||||
\(45\) | −1.69070 | − | 1.46340i | −0.252035 | − | 0.218151i | ||||
\(46\) | 1.85456 | + | 2.05970i | 0.273440 | + | 0.303686i | ||||
\(47\) | 4.65686 | − | 7.17094i | 0.679273 | − | 1.04599i | −0.315989 | − | 0.948763i | \(-0.602336\pi\) |
0.995262 | − | 0.0972262i | \(-0.0309970\pi\) | |||||||
\(48\) | 1.82678 | + | 0.289334i | 0.263673 | + | 0.0417617i | ||||
\(49\) | 6.41083 | − | 2.81091i | 0.915833 | − | 0.401559i | ||||
\(50\) | 2.32618 | − | 2.03956i | 0.328971 | − | 0.288437i | ||||
\(51\) | 2.93099 | + | 5.07662i | 0.410420 | + | 0.710869i | ||||
\(52\) | 5.24979 | + | 4.25120i | 0.728015 | + | 0.589535i | ||||
\(53\) | 5.87675 | + | 0.307988i | 0.807234 | + | 0.0423053i | 0.451488 | − | 0.892277i | \(-0.350893\pi\) |
0.355746 | + | 0.934583i | \(0.384227\pi\) | |||||||
\(54\) | −0.605216 | + | 0.128643i | −0.0823594 | + | 0.0175060i | ||||
\(55\) | 7.14728 | − | 12.9590i | 0.963739 | − | 1.74739i | ||||
\(56\) | −5.71526 | − | 1.54875i | −0.763733 | − | 0.206960i | ||||
\(57\) | −3.38168 | − | 3.38168i | −0.447914 | − | 0.447914i | ||||
\(58\) | −0.0320626 | − | 0.611790i | −0.00421002 | − | 0.0803320i | ||||
\(59\) | −11.5708 | + | 5.15166i | −1.50639 | + | 0.670688i | −0.983367 | − | 0.181630i | \(-0.941863\pi\) |
−0.523024 | + | 0.852318i | \(0.675196\pi\) | |||||||
\(60\) | 0.259920 | + | 3.60674i | 0.0335555 | + | 0.465628i | ||||
\(61\) | −0.189335 | + | 0.425253i | −0.0242418 | + | 0.0544481i | −0.925261 | − | 0.379332i | \(-0.876154\pi\) |
0.901019 | + | 0.433780i | \(0.142821\pi\) | |||||||
\(62\) | 2.29821 | − | 0.364000i | 0.291872 | − | 0.0462280i | ||||
\(63\) | −2.63203 | + | 0.269108i | −0.331605 | + | 0.0339044i | ||||
\(64\) | −0.130179 | − | 0.179177i | −0.0162724 | − | 0.0223971i | ||||
\(65\) | −4.07674 | + | 8.40388i | −0.505657 | + | 1.04237i | ||||
\(66\) | −1.66562 | − | 3.74104i | −0.205023 | − | 0.460490i | ||||
\(67\) | 3.45923 | + | 5.32674i | 0.422612 | + | 0.650765i | 0.984284 | − | 0.176595i | \(-0.0565082\pi\) |
−0.561672 | + | 0.827360i | \(0.689842\pi\) | |||||||
\(68\) | 2.45355 | − | 9.15676i | 0.297536 | − | 1.11042i | ||||
\(69\) | −1.38422 | − | 4.26020i | −0.166641 | − | 0.512868i | ||||
\(70\) | 0.130320 | − | 3.65818i | 0.0155763 | − | 0.437236i | ||||
\(71\) | −1.29272 | + | 3.97859i | −0.153418 | + | 0.472172i | −0.997997 | − | 0.0632585i | \(-0.979851\pi\) |
0.844579 | + | 0.535431i | \(0.179851\pi\) | |||||||
\(72\) | 1.87701 | + | 1.21894i | 0.221207 | + | 0.143654i | ||||
\(73\) | −7.72571 | + | 9.54046i | −0.904227 | + | 1.11663i | 0.0884809 | + | 0.996078i | \(0.471799\pi\) |
−0.992707 | + | 0.120549i | \(0.961535\pi\) | |||||||
\(74\) | −0.762082 | − | 0.439988i | −0.0885902 | − | 0.0511476i | ||||
\(75\) | −4.77526 | + | 1.48219i | −0.551400 | + | 0.171149i | ||||
\(76\) | 7.73395i | 0.887145i | ||||||||
\(77\) | −5.36396 | − | 16.6690i | −0.611280 | − | 1.89961i | ||||
\(78\) | 1.17338 | + | 2.30288i | 0.132859 | + | 0.260750i | ||||
\(79\) | −0.430122 | − | 2.02356i | −0.0483925 | − | 0.227669i | 0.947305 | − | 0.320333i | \(-0.103795\pi\) |
−0.995697 | + | 0.0926647i | \(0.970462\pi\) | |||||||
\(80\) | 2.70663 | − | 3.12704i | 0.302611 | − | 0.349613i | ||||
\(81\) | 0.978148 | + | 0.207912i | 0.108683 | + | 0.0231013i | ||||
\(82\) | 1.94996 | + | 0.522490i | 0.215337 | + | 0.0576994i | ||||
\(83\) | −4.61796 | + | 9.06326i | −0.506887 | + | 0.994822i | 0.485796 | + | 0.874072i | \(0.338530\pi\) |
−0.992683 | + | 0.120750i | \(0.961470\pi\) | |||||||
\(84\) | 3.31747 | + | 2.70202i | 0.361966 | + | 0.294815i | ||||
\(85\) | 13.1007 | + | 0.429582i | 1.42097 | + | 0.0465947i | ||||
\(86\) | −3.43454 | − | 1.52916i | −0.370356 | − | 0.164893i | ||||
\(87\) | −0.354831 | + | 0.924366i | −0.0380419 | + | 0.0991024i | ||||
\(88\) | −5.30835 | + | 13.8287i | −0.565872 | + | 1.47415i | ||||
\(89\) | −10.0002 | − | 4.45236i | −1.06002 | − | 0.471950i | −0.198722 | − | 0.980056i | \(-0.563679\pi\) |
−0.861294 | + | 0.508106i | \(0.830346\pi\) | |||||||
\(90\) | −0.470430 | + | 1.30110i | −0.0495877 | + | 0.137148i | ||||
\(91\) | 3.93140 | + | 10.3289i | 0.412123 | + | 1.08277i | ||||
\(92\) | −3.28871 | + | 6.45445i | −0.342871 | + | 0.672923i | ||||
\(93\) | −3.63251 | − | 0.973328i | −0.376674 | − | 0.100929i | ||||
\(94\) | −5.17482 | − | 1.09994i | −0.533742 | − | 0.113450i | ||||
\(95\) | −10.4146 | + | 2.42775i | −1.06851 | + | 0.249082i | ||||
\(96\) | −1.16857 | − | 5.49771i | −0.119267 | − | 0.561108i | ||||
\(97\) | 2.74672 | + | 5.39074i | 0.278887 | + | 0.547346i | 0.987380 | − | 0.158372i | \(-0.0506244\pi\) |
−0.708493 | + | 0.705718i | \(0.750624\pi\) | |||||||
\(98\) | −3.04520 | − | 3.07988i | −0.307612 | − | 0.311115i | ||||
\(99\) | 6.61844i | 0.665179i | ||||||||
\(100\) | 7.15545 | + | 3.76565i | 0.715545 | + | 0.376565i | ||||
\(101\) | 6.55017 | + | 3.78174i | 0.651766 | + | 0.376298i | 0.789133 | − | 0.614223i | \(-0.210530\pi\) |
−0.137366 | + | 0.990520i | \(0.543864\pi\) | |||||||
\(102\) | 2.28256 | − | 2.81872i | 0.226007 | − | 0.279095i | ||||
\(103\) | −10.7656 | − | 6.99129i | −1.06077 | − | 0.688872i | −0.108490 | − | 0.994098i | \(-0.534602\pi\) |
−0.952280 | + | 0.305225i | \(0.901268\pi\) | |||||||
\(104\) | 2.88896 | − | 8.89131i | 0.283286 | − | 0.871865i | ||||
\(105\) | −2.59718 | + | 5.31551i | −0.253458 | + | 0.518741i | ||||
\(106\) | −1.12518 | − | 3.46294i | −0.109287 | − | 0.336351i | ||||
\(107\) | −1.64331 | + | 6.13293i | −0.158865 | + | 0.592893i | 0.839878 | + | 0.542775i | \(0.182626\pi\) |
−0.998743 | + | 0.0501178i | \(0.984040\pi\) | |||||||
\(108\) | −0.880771 | − | 1.35627i | −0.0847522 | − | 0.130507i | ||||
\(109\) | −4.92217 | − | 11.0554i | −0.471458 | − | 1.05891i | −0.980203 | − | 0.197995i | \(-0.936557\pi\) |
0.508745 | − | 0.860917i | \(-0.330110\pi\) | |||||||
\(110\) | −9.07044 | − | 1.25509i | −0.864833 | − | 0.119668i | ||||
\(111\) | 0.835957 | + | 1.15060i | 0.0793455 | + | 0.109210i | ||||
\(112\) | −0.497729 | − | 4.86808i | −0.0470309 | − | 0.459990i | ||||
\(113\) | −1.85820 | + | 0.294310i | −0.174805 | + | 0.0276863i | −0.243223 | − | 0.969970i | \(-0.578205\pi\) |
0.0684185 | + | 0.997657i | \(0.478205\pi\) | |||||||
\(114\) | −1.20356 | + | 2.70323i | −0.112723 | + | 0.253181i | ||||
\(115\) | −9.72395 | − | 2.40249i | −0.906763 | − | 0.224033i | ||||
\(116\) | 1.46277 | − | 0.651268i | 0.135815 | − | 0.0604687i | ||||
\(117\) | −0.218618 | − | 4.17148i | −0.0202112 | − | 0.385653i | ||||
\(118\) | 5.54146 | + | 5.54146i | 0.510133 | + | 0.510133i | ||||
\(119\) | 10.9977 | − | 10.9357i | 1.00816 | − | 1.00247i | ||||
\(120\) | 4.53109 | − | 2.12463i | 0.413630 | − | 0.193951i | ||||
\(121\) | −32.0870 | + | 6.82029i | −2.91700 | + | 0.620027i | ||||
\(122\) | 0.287626 | + | 0.0150738i | 0.0260404 | + | 0.00136472i | ||||
\(123\) | −2.53559 | − | 2.05328i | −0.228626 | − | 0.185138i | ||||
\(124\) | 3.04080 | + | 5.26681i | 0.273072 | + | 0.472974i | ||||
\(125\) | −2.82470 | + | 10.8176i | −0.252648 | + | 0.967558i | ||||
\(126\) | 0.739062 | + | 1.46070i | 0.0658409 | + | 0.130129i | ||||
\(127\) | −13.0470 | − | 2.06645i | −1.15774 | − | 0.183367i | −0.452117 | − | 0.891959i | \(-0.649331\pi\) |
−0.705619 | + | 0.708591i | \(0.749331\pi\) | |||||||
\(128\) | −6.19696 | + | 9.54247i | −0.547739 | + | 0.843444i | ||||
\(129\) | 4.06578 | + | 4.51550i | 0.357972 | + | 0.397568i | ||||
\(130\) | 5.75838 | + | 0.491450i | 0.505043 | + | 0.0431030i | ||||
\(131\) | −8.59178 | − | 7.73607i | −0.750667 | − | 0.675904i | 0.202182 | − | 0.979348i | \(-0.435197\pi\) |
−0.952849 | + | 0.303444i | \(0.901863\pi\) | |||||||
\(132\) | 7.56824 | − | 7.56824i | 0.658731 | − | 0.658731i | ||||
\(133\) | −6.35753 | + | 10.9399i | −0.551268 | + | 0.948613i | ||||
\(134\) | 2.30991 | − | 3.17932i | 0.199546 | − | 0.274651i | ||||
\(135\) | 1.54988 | − | 1.61179i | 0.133392 | − | 0.138721i | ||||
\(136\) | −13.0477 | + | 1.37136i | −1.11883 | + | 0.117593i | ||||
\(137\) | 10.4962 | + | 4.02912i | 0.896752 | + | 0.344231i | 0.762707 | − | 0.646744i | \(-0.223870\pi\) |
0.134045 | + | 0.990975i | \(0.457203\pi\) | |||||||
\(138\) | −2.15394 | + | 1.74422i | −0.183355 | + | 0.148478i | ||||
\(139\) | 16.3272 | − | 11.8624i | 1.38486 | − | 1.00616i | 0.388449 | − | 0.921470i | \(-0.373011\pi\) |
0.996408 | − | 0.0846868i | \(-0.0269890\pi\) | |||||||
\(140\) | 9.04822 | − | 3.10844i | 0.764715 | − | 0.262711i | ||||
\(141\) | 6.91739 | + | 5.02578i | 0.582549 | + | 0.423247i | ||||
\(142\) | 2.58484 | − | 0.135466i | 0.216915 | − | 0.0113680i | ||||
\(143\) | 26.7045 | − | 7.15546i | 2.23315 | − | 0.598369i | ||||
\(144\) | −0.384543 | + | 1.80913i | −0.0320453 | + | 0.150761i | ||||
\(145\) | 1.33618 | + | 1.76534i | 0.110963 | + | 0.146603i | ||||
\(146\) | 7.22402 | + | 2.34723i | 0.597864 | + | 0.194258i | ||||
\(147\) | 2.47154 | + | 6.54916i | 0.203849 | + | 0.540166i | ||||
\(148\) | 0.359792 | − | 2.27164i | 0.0295747 | − | 0.186728i | ||||
\(149\) | −14.3521 | + | 8.28619i | −1.17577 | + | 0.678831i | −0.955032 | − | 0.296502i | \(-0.904180\pi\) |
−0.220738 | + | 0.975333i | \(0.570847\pi\) | |||||||
\(150\) | 1.91502 | + | 2.42973i | 0.156361 | + | 0.198387i | ||||
\(151\) | 5.03822 | − | 8.72645i | 0.410004 | − | 0.710148i | −0.584885 | − | 0.811116i | \(-0.698861\pi\) |
0.994890 | + | 0.100968i | \(0.0321939\pi\) | |||||||
\(152\) | 9.99248 | − | 3.83575i | 0.810497 | − | 0.311121i | ||||
\(153\) | −5.22306 | + | 2.66128i | −0.422259 | + | 0.215152i | ||||
\(154\) | −8.43929 | + | 6.79454i | −0.680057 | + | 0.547520i | ||||
\(155\) | −6.13779 | + | 5.74804i | −0.492999 | + | 0.461694i | ||||
\(156\) | −4.52013 | + | 5.02011i | −0.361900 | + | 0.401930i | ||||
\(157\) | 0.585197 | + | 2.18398i | 0.0467038 | + | 0.174301i | 0.985338 | − | 0.170613i | \(-0.0545748\pi\) |
−0.938634 | + | 0.344914i | \(0.887908\pi\) | |||||||
\(158\) | −1.07352 | + | 0.697151i | −0.0854046 | + | 0.0554624i | ||||
\(159\) | −0.615131 | + | 5.85258i | −0.0487831 | + | 0.464140i | ||||
\(160\) | −11.8191 | − | 4.27333i | −0.934380 | − | 0.337837i | ||||
\(161\) | −9.95773 | + | 6.42663i | −0.784779 | + | 0.506489i | ||||
\(162\) | −0.0967918 | − | 0.611119i | −0.00760468 | − | 0.0480140i | ||||
\(163\) | 7.96062 | + | 9.83055i | 0.623524 | + | 0.769988i | 0.986844 | − | 0.161676i | \(-0.0516900\pi\) |
−0.363320 | + | 0.931665i | \(0.618357\pi\) | |||||||
\(164\) | 0.551525 | + | 5.24741i | 0.0430668 | + | 0.409754i | ||||
\(165\) | 12.5672 | + | 7.81571i | 0.978353 | + | 0.608452i | ||||
\(166\) | 6.25927 | + | 0.657876i | 0.485814 | + | 0.0510611i | ||||
\(167\) | −6.03076 | − | 3.07283i | −0.466674 | − | 0.237782i | 0.204809 | − | 0.978802i | \(-0.434343\pi\) |
−0.671483 | + | 0.741020i | \(0.734343\pi\) | |||||||
\(168\) | 1.84574 | − | 5.62637i | 0.142402 | − | 0.434084i | ||||
\(169\) | −4.23126 | + | 1.37482i | −0.325481 | + | 0.105755i | ||||
\(170\) | −2.65675 | − | 7.66277i | −0.203764 | − | 0.587707i | ||||
\(171\) | 3.55403 | − | 3.20006i | 0.271783 | − | 0.244715i | ||||
\(172\) | 0.514265 | − | 9.81276i | 0.0392124 | − | 0.748216i | ||||
\(173\) | 2.81621 | + | 7.33649i | 0.214113 | + | 0.557783i | 0.998006 | − | 0.0631121i | \(-0.0201026\pi\) |
−0.783894 | + | 0.620895i | \(0.786769\pi\) | |||||||
\(174\) | 0.612630 | 0.0464433 | ||||||||
\(175\) | 7.02615 | + | 11.2086i | 0.531127 | + | 0.847292i | ||||
\(176\) | −12.2412 | −0.922712 | ||||||||
\(177\) | −4.53903 | − | 11.8246i | −0.341174 | − | 0.888789i | ||||
\(178\) | −0.354473 | + | 6.76375i | −0.0265689 | + | 0.506965i | ||||
\(179\) | −7.47972 | + | 6.73477i | −0.559060 | + | 0.503380i | −0.899520 | − | 0.436879i | \(-0.856084\pi\) |
0.340460 | + | 0.940259i | \(0.389417\pi\) | |||||||
\(180\) | −3.61540 | + | 0.0708018i | −0.269476 | + | 0.00527726i | ||||
\(181\) | −14.3079 | + | 4.64891i | −1.06350 | + | 0.345551i | −0.787951 | − | 0.615738i | \(-0.788858\pi\) |
−0.275544 | + | 0.961288i | \(0.588858\pi\) | |||||||
\(182\) | 5.09469 | − | 4.56123i | 0.377643 | − | 0.338101i | ||||
\(183\) | −0.414761 | − | 0.211331i | −0.0306600 | − | 0.0156221i | ||||
\(184\) | 9.97040 | + | 1.04793i | 0.735028 | + | 0.0772545i | ||||
\(185\) | 3.17194 | − | 0.228587i | 0.233206 | − | 0.0168060i | ||||
\(186\) | 0.243222 | + | 2.31411i | 0.0178339 | + | 0.169678i | ||||
\(187\) | −24.4158 | − | 30.1510i | −1.78546 | − | 2.20486i | ||||
\(188\) | −2.16307 | − | 13.6571i | −0.157758 | − | 0.996047i | ||||
\(189\) | −0.130989 | − | 2.64251i | −0.00952805 | − | 0.192214i | ||||
\(190\) | 3.71165 | + | 5.47757i | 0.269271 | + | 0.397384i | ||||
\(191\) | 0.429095 | − | 4.08256i | 0.0310482 | − | 0.295404i | −0.967969 | − | 0.251071i | \(-0.919217\pi\) |
0.999017 | − | 0.0443327i | \(-0.0141162\pi\) | |||||||
\(192\) | 0.185744 | − | 0.120624i | 0.0134049 | − | 0.00870526i | ||||
\(193\) | 3.95116 | + | 14.7459i | 0.284411 | + | 1.06144i | 0.949269 | + | 0.314466i | \(0.101825\pi\) |
−0.664858 | + | 0.746970i | \(0.731508\pi\) | |||||||
\(194\) | 2.50486 | − | 2.78193i | 0.179839 | − | 0.199731i | ||||
\(195\) | −8.17901 | − | 4.51098i | −0.585711 | − | 0.323038i | ||||
\(196\) | 4.66279 | − | 10.3152i | 0.333056 | − | 0.736803i | ||||
\(197\) | 6.42887 | − | 3.27568i | 0.458038 | − | 0.233382i | −0.209718 | − | 0.977762i | \(-0.567255\pi\) |
0.667757 | + | 0.744380i | \(0.267255\pi\) | |||||||
\(198\) | 3.82308 | − | 1.46754i | 0.271695 | − | 0.104294i | ||||
\(199\) | −1.32686 | + | 2.29818i | −0.0940583 | + | 0.162914i | −0.909215 | − | 0.416326i | \(-0.863317\pi\) |
0.815157 | + | 0.579240i | \(0.196651\pi\) | |||||||
\(200\) | 1.31649 | − | 11.1127i | 0.0930897 | − | 0.785783i | ||||
\(201\) | −5.50049 | + | 3.17571i | −0.387974 | + | 0.223997i | ||||
\(202\) | 0.732083 | − | 4.62219i | 0.0515092 | − | 0.325216i | ||||
\(203\) | 2.60450 | + | 0.281200i | 0.182800 | + | 0.0197363i | ||||
\(204\) | 9.01581 | + | 2.92941i | 0.631233 | + | 0.205100i | ||||
\(205\) | −6.89306 | + | 2.38989i | −0.481432 | + | 0.166917i | ||||
\(206\) | −1.65133 | + | 7.76889i | −0.115054 | + | 0.541284i | ||||
\(207\) | 4.32681 | − | 1.15937i | 0.300734 | − | 0.0805815i | ||||
\(208\) | 7.71536 | − | 0.404345i | 0.534964 | − | 0.0280363i | ||||
\(209\) | 25.6071 | + | 18.6047i | 1.77128 | + | 1.28691i | ||||
\(210\) | 3.64634 | + | 0.321596i | 0.251621 | + | 0.0221922i | ||||
\(211\) | 10.1355 | − | 7.36390i | 0.697759 | − | 0.506952i | −0.181443 | − | 0.983402i | \(-0.558077\pi\) |
0.879202 | + | 0.476450i | \(0.158077\pi\) | |||||||
\(212\) | 7.39588 | − | 5.98907i | 0.507951 | − | 0.411331i | ||||
\(213\) | −3.90549 | − | 1.49918i | −0.267599 | − | 0.102722i | ||||
\(214\) | 3.90701 | − | 0.410643i | 0.267078 | − | 0.0280710i | ||||
\(215\) | 13.3754 | − | 2.38779i | 0.912191 | − | 0.162846i | ||||
\(216\) | −1.31551 | + | 1.81064i | −0.0895089 | + | 0.123198i | ||||
\(217\) | −0.0281619 | + | 9.94971i | −0.00191175 | + | 0.675430i | ||||
\(218\) | −5.29461 | + | 5.29461i | −0.358596 | + | 0.358596i | ||||
\(219\) | −9.12306 | − | 8.21444i | −0.616479 | − | 0.555080i | ||||
\(220\) | −5.43333 | − | 23.3080i | −0.366315 | − | 1.57142i | ||||
\(221\) | 16.3848 | + | 18.1971i | 1.10216 | + | 1.22407i | ||||
\(222\) | 0.479269 | − | 0.738010i | 0.0321665 | − | 0.0495320i | ||||
\(223\) | 4.80824 | + | 0.761550i | 0.321984 | + | 0.0509972i | 0.315334 | − | 0.948981i | \(-0.397883\pi\) |
0.00664942 | + | 0.999978i | \(0.497883\pi\) | |||||||
\(224\) | −13.2688 | + | 6.71355i | −0.886559 | + | 0.448568i | ||||
\(225\) | −1.23024 | − | 4.84629i | −0.0820162 | − | 0.323086i | ||||
\(226\) | 0.582033 | + | 1.00811i | 0.0387163 | + | 0.0670586i | ||||
\(227\) | −5.48107 | − | 4.43848i | −0.363791 | − | 0.294592i | 0.429944 | − | 0.902855i | \(-0.358533\pi\) |
−0.793735 | + | 0.608263i | \(0.791867\pi\) | |||||||
\(228\) | −7.72335 | − | 0.404764i | −0.511492 | − | 0.0268061i | ||||
\(229\) | 15.3618 | − | 3.26524i | 1.01513 | − | 0.215773i | 0.329837 | − | 0.944038i | \(-0.393006\pi\) |
0.685296 | + | 0.728265i | \(0.259673\pi\) | |||||||
\(230\) | 0.768369 | + | 6.14966i | 0.0506647 | + | 0.405497i | ||||
\(231\) | 16.9269 | − | 4.48422i | 1.11370 | − | 0.295040i | ||||
\(232\) | −1.56694 | − | 1.56694i | −0.102874 | − | 0.102874i | ||||
\(233\) | −0.931839 | − | 17.7805i | −0.0610468 | − | 1.16484i | −0.841724 | − | 0.539908i | \(-0.818459\pi\) |
0.780677 | − | 0.624934i | \(-0.214874\pi\) | |||||||
\(234\) | −2.36114 | + | 1.05125i | −0.154352 | + | 0.0687221i | ||||
\(235\) | 17.7117 | − | 7.19988i | 1.15539 | − | 0.469668i | ||||
\(236\) | −8.33108 | + | 18.7119i | −0.542307 | + | 1.21804i | ||||
\(237\) | 2.04330 | − | 0.323627i | 0.132727 | − | 0.0210218i | ||||
\(238\) | −8.75547 | − | 3.92792i | −0.567533 | − | 0.254609i | ||||
\(239\) | −2.52648 | − | 3.47740i | −0.163424 | − | 0.224934i | 0.719449 | − | 0.694545i | \(-0.244394\pi\) |
−0.882874 | + | 0.469611i | \(0.844394\pi\) | |||||||
\(240\) | 2.98110 | + | 2.86658i | 0.192429 | + | 0.185037i | ||||
\(241\) | −5.89020 | − | 13.2296i | −0.379421 | − | 0.852194i | −0.997799 | − | 0.0663126i | \(-0.978877\pi\) |
0.618378 | − | 0.785881i | \(-0.287790\pi\) | |||||||
\(242\) | 11.0545 | + | 17.0224i | 0.710610 | + | 1.09424i | ||||
\(243\) | −0.258819 | + | 0.965926i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | 0.232624 | + | 0.715942i | 0.0148922 | + | 0.0458335i | ||||
\(245\) | 15.3542 | + | 3.04090i | 0.980947 | + | 0.194276i | ||||
\(246\) | −0.623827 | + | 1.91994i | −0.0397738 | + | 0.122411i | ||||
\(247\) | −16.7542 | − | 10.8803i | −1.06605 | − | 0.692298i | ||||
\(248\) | 5.29674 | − | 6.54093i | 0.336344 | − | 0.415350i | ||||
\(249\) | −8.80916 | − | 5.08597i | −0.558258 | − | 0.322310i | ||||
\(250\) | 6.87504 | − | 0.766993i | 0.434815 | − | 0.0485089i | ||||
\(251\) | − | 1.78859i | − | 0.112894i | −0.998406 | − | 0.0564472i | \(-0.982023\pi\) | ||
0.998406 | − | 0.0564472i | \(-0.0179773\pi\) | |||||||
\(252\) | −2.87194 | + | 3.17152i | −0.180915 | + | 0.199787i | ||||
\(253\) | 13.4594 | + | 26.4156i | 0.846187 | + | 1.66074i | ||||
\(254\) | 1.69933 | + | 7.99470i | 0.106625 | + | 0.501632i | ||||
\(255\) | −1.11463 | + | 13.0603i | −0.0698010 | + | 0.817867i | ||||
\(256\) | 6.45294 | + | 1.37161i | 0.403308 | + | 0.0857259i | ||||
\(257\) | −9.20773 | − | 2.46721i | −0.574363 | − | 0.153900i | −0.0400660 | − | 0.999197i | \(-0.512757\pi\) |
−0.534297 | + | 0.845297i | \(0.679423\pi\) | |||||||
\(258\) | 1.70681 | − | 3.34980i | 0.106261 | − | 0.208550i | ||||
\(259\) | 2.37629 | − | 2.91755i | 0.147655 | − | 0.181288i | ||||
\(260\) | 4.19442 | + | 14.5111i | 0.260127 | + | 0.899940i | ||||
\(261\) | −0.904529 | − | 0.402722i | −0.0559889 | − | 0.0249279i | ||||
\(262\) | −2.56357 | + | 6.67832i | −0.158378 | + | 0.412588i | ||||
\(263\) | 10.1507 | − | 26.4436i | 0.625922 | − | 1.63058i | −0.141872 | − | 0.989885i | \(-0.545312\pi\) |
0.767794 | − | 0.640697i | \(-0.221354\pi\) | |||||||
\(264\) | −13.5319 | − | 6.02481i | −0.832834 | − | 0.370801i | ||||
\(265\) | 10.3865 | + | 8.07932i | 0.638040 | + | 0.496309i | ||||
\(266\) | 7.72904 | + | 1.24660i | 0.473898 | + | 0.0764337i | ||||
\(267\) | 4.96963 | − | 9.75345i | 0.304136 | − | 0.596901i | ||||
\(268\) | 9.92130 | + | 2.65840i | 0.606040 | + | 0.162388i | ||||
\(269\) | −16.2664 | − | 3.45753i | −0.991781 | − | 0.210810i | −0.316678 | − | 0.948533i | \(-0.602567\pi\) |
−0.675103 | + | 0.737723i | \(0.735901\pi\) | |||||||
\(270\) | −1.27470 | − | 0.537880i | −0.0775758 | − | 0.0327344i | ||||
\(271\) | −3.03705 | − | 14.2882i | −0.184487 | − | 0.867945i | −0.968851 | − | 0.247644i | \(-0.920344\pi\) |
0.784364 | − | 0.620301i | \(-0.212990\pi\) | |||||||
\(272\) | −4.92218 | − | 9.66031i | −0.298451 | − | 0.585743i | ||||
\(273\) | −10.5205 | + | 3.38544i | −0.636732 | + | 0.204896i | ||||
\(274\) | − | 6.95643i | − | 0.420254i | ||||||
\(275\) | 29.6811 | − | 14.6331i | 1.78984 | − | 0.882409i | ||||
\(276\) | −6.27349 | − | 3.62200i | −0.377620 | − | 0.218019i | ||||
\(277\) | −7.40031 | + | 9.13862i | −0.444641 | + | 0.549086i | −0.949357 | − | 0.314199i | \(-0.898264\pi\) |
0.504716 | + | 0.863286i | \(0.331597\pi\) | |||||||
\(278\) | −10.4725 | − | 6.80094i | −0.628101 | − | 0.407894i | ||||
\(279\) | 1.16210 | − | 3.57659i | 0.0695734 | − | 0.214125i | ||||
\(280\) | −8.50377 | − | 10.1489i | −0.508198 | − | 0.606512i | ||||
\(281\) | −9.06765 | − | 27.9074i | −0.540931 | − | 1.66481i | −0.730474 | − | 0.682941i | \(-0.760701\pi\) |
0.189543 | − | 0.981872i | \(-0.439299\pi\) | |||||||
\(282\) | 1.36926 | − | 5.11016i | 0.0815384 | − | 0.304305i | ||||
\(283\) | −11.0492 | − | 17.0142i | −0.656805 | − | 1.01139i | −0.997462 | − | 0.0712038i | \(-0.977316\pi\) |
0.340656 | − | 0.940188i | \(-0.389351\pi\) | |||||||
\(284\) | 2.75164 | + | 6.18028i | 0.163280 | + | 0.366732i | ||||
\(285\) | −1.87936 | − | 10.5274i | −0.111324 | − | 0.623587i | ||||
\(286\) | −10.0546 | − | 13.8390i | −0.594542 | − | 0.818317i | ||||
\(287\) | −3.53337 | + | 7.87600i | −0.208568 | + | 0.464906i | ||||
\(288\) | 5.55133 | − | 0.879245i | 0.327115 | − | 0.0518100i | ||||
\(289\) | 7.06206 | − | 15.8617i | 0.415415 | − | 0.933038i | ||||
\(290\) | 0.723453 | − | 1.16327i | 0.0424826 | − | 0.0683094i | ||||
\(291\) | −5.52710 | + | 2.46082i | −0.324004 | + | 0.144256i | ||||
\(292\) | 1.03901 | + | 19.8256i | 0.0608037 | + | 1.16020i | ||||
\(293\) | 15.1657 | + | 15.1657i | 0.885991 | + | 0.885991i | 0.994135 | − | 0.108144i | \(-0.0344909\pi\) |
−0.108144 | + | 0.994135i | \(0.534491\pi\) | |||||||
\(294\) | 3.23503 | − | 2.87984i | 0.188671 | − | 0.167956i | ||||
\(295\) | −27.8127 | − | 5.34486i | −1.61932 | − | 0.311190i | ||||
\(296\) | −3.11346 | + | 0.661787i | −0.180966 | + | 0.0384656i | ||||
\(297\) | −6.60937 | − | 0.346383i | −0.383515 | − | 0.0200992i | ||||
\(298\) | 7.96881 | + | 6.45302i | 0.461621 | + | 0.373813i | ||||
\(299\) | −9.35577 | − | 16.2047i | −0.541058 | − | 0.937140i | ||||
\(300\) | −4.13498 | + | 6.94856i | −0.238733 | + | 0.401175i | ||||
\(301\) | 8.79382 | − | 13.4577i | 0.506867 | − | 0.775692i | ||||
\(302\) | −6.15790 | − | 0.975316i | −0.354347 | − | 0.0561231i | ||||
\(303\) | −4.11937 | + | 6.34327i | −0.236652 | + | 0.364412i | ||||
\(304\) | 5.91868 | + | 6.57336i | 0.339459 | + | 0.377008i | ||||
\(305\) | −0.891069 | + | 0.537992i | −0.0510225 | + | 0.0308053i | ||||
\(306\) | 2.69540 | + | 2.42695i | 0.154086 | + | 0.138739i | ||||
\(307\) | −5.96323 | + | 5.96323i | −0.340340 | + | 0.340340i | −0.856495 | − | 0.516155i | \(-0.827363\pi\) |
0.516155 | + | 0.856495i | \(0.327363\pi\) | |||||||
\(308\) | −24.4837 | − | 14.2282i | −1.39509 | − | 0.810729i | ||||
\(309\) | 7.54514 | − | 10.3850i | 0.429228 | − | 0.590782i | ||||
\(310\) | 4.68127 | + | 2.27089i | 0.265878 | + | 0.128978i | ||||
\(311\) | 11.6516 | − | 1.22463i | 0.660699 | − | 0.0694423i | 0.231756 | − | 0.972774i | \(-0.425553\pi\) |
0.428943 | + | 0.903332i | \(0.358886\pi\) | |||||||
\(312\) | 8.72793 | + | 3.35034i | 0.494122 | + | 0.189676i | ||||
\(313\) | 8.65649 | − | 7.00989i | 0.489294 | − | 0.396222i | −0.352677 | − | 0.935745i | \(-0.614729\pi\) |
0.841971 | + | 0.539523i | \(0.181395\pi\) | |||||||
\(314\) | 1.13180 | − | 0.822300i | 0.0638711 | − | 0.0464051i | ||||
\(315\) | −5.17230 | − | 2.87181i | −0.291426 | − | 0.161808i | ||||
\(316\) | −2.70660 | − | 1.96646i | −0.152258 | − | 0.110622i | ||||
\(317\) | 4.93069 | − | 0.258406i | 0.276935 | − | 0.0145136i | 0.0866371 | − | 0.996240i | \(-0.472388\pi\) |
0.190298 | + | 0.981726i | \(0.439055\pi\) | |||||||
\(318\) | 3.51708 | − | 0.942400i | 0.197228 | − | 0.0528472i | ||||
\(319\) | 1.36247 | − | 6.40992i | 0.0762837 | − | 0.358886i | ||||
\(320\) | −0.00969647 | − | 0.495137i | −0.000542049 | − | 0.0276790i | ||||
\(321\) | −6.03852 | − | 1.96203i | −0.337037 | − | 0.109510i | ||||
\(322\) | 5.92026 | + | 4.32698i | 0.329923 | + | 0.241133i | ||||
\(323\) | −4.38555 | + | 27.6892i | −0.244018 | + | 1.54067i | ||||
\(324\) | 1.40051 | − | 0.808582i | 0.0778059 | − | 0.0449212i | ||||
\(325\) | −18.2241 | + | 10.2034i | −1.01089 | + | 0.565981i | ||||
\(326\) | 3.91337 | − | 6.77816i | 0.216742 | − | 0.375408i | ||||
\(327\) | 11.2978 | − | 4.33683i | 0.624771 | − | 0.239827i | ||||
\(328\) | 6.50626 | − | 3.31510i | 0.359248 | − | 0.183046i | ||||
\(329\) | 8.16679 | − | 21.0966i | 0.450250 | − | 1.16309i | ||||
\(330\) | 1.72808 | − | 8.99232i | 0.0951279 | − | 0.495011i | ||||
\(331\) | −6.73735 | + | 7.48258i | −0.370318 | + | 0.411280i | −0.899285 | − | 0.437362i | \(-0.855913\pi\) |
0.528967 | + | 0.848642i | \(0.322579\pi\) | |||||||
\(332\) | 4.25750 | + | 15.8892i | 0.233660 | + | 0.872032i | ||||
\(333\) | −1.19277 | + | 0.774594i | −0.0653634 | + | 0.0424475i | ||||
\(334\) | −0.437756 | + | 4.16497i | −0.0239529 | + | 0.227897i | ||||
\(335\) | −0.465450 | + | 14.1946i | −0.0254302 | + | 0.775532i | ||||
\(336\) | 4.88745 | − | 0.242271i | 0.266632 | − | 0.0132170i | ||||
\(337\) | 2.89545 | + | 18.2812i | 0.157725 | + | 0.995838i | 0.931860 | + | 0.362817i | \(0.118185\pi\) |
−0.774135 | + | 0.633021i | \(0.781815\pi\) | |||||||
\(338\) | 1.73237 | + | 2.13930i | 0.0942286 | + | 0.116363i | ||||
\(339\) | −0.196656 | − | 1.87105i | −0.0106809 | − | 0.101622i | ||||
\(340\) | 16.2091 | − | 13.6600i | 0.879064 | − | 0.740815i | ||||
\(341\) | 24.7533 | + | 2.60168i | 1.34047 | + | 0.140889i | ||||
\(342\) | −2.63654 | − | 1.34338i | −0.142568 | − | 0.0726418i | ||||
\(343\) | 15.0751 | − | 10.7583i | 0.813979 | − | 0.580895i | ||||
\(344\) | −12.9334 | + | 4.20232i | −0.697323 | + | 0.226574i | ||||
\(345\) | 2.90811 | − | 9.58488i | 0.156567 | − | 0.516033i | ||||
\(346\) | 3.61340 | − | 3.25352i | 0.194258 | − | 0.174910i | ||||
\(347\) | −0.997078 | + | 19.0254i | −0.0535259 | + | 1.02134i | 0.831421 | + | 0.555643i | \(0.187528\pi\) |
−0.884947 | + | 0.465692i | \(0.845805\pi\) | |||||||
\(348\) | 0.573820 | + | 1.49485i | 0.0307600 | + | 0.0801325i | ||||
\(349\) | 14.7295 | 0.788454 | 0.394227 | − | 0.919013i | \(-0.371012\pi\) | ||||
0.394227 | + | 0.919013i | \(0.371012\pi\) | |||||||
\(350\) | 4.91661 | − | 6.54394i | 0.262804 | − | 0.349788i | ||||
\(351\) | 4.17720 | 0.222962 | ||||||||
\(352\) | 13.3310 | + | 34.7284i | 0.710544 | + | 1.85103i | ||||
\(353\) | −1.17246 | + | 22.3718i | −0.0624036 | + | 1.19073i | 0.770546 | + | 0.637384i | \(0.219983\pi\) |
−0.832950 | + | 0.553348i | \(0.813350\pi\) | |||||||
\(354\) | −5.82389 | + | 5.24385i | −0.309536 | + | 0.278708i | ||||
\(355\) | −7.45863 | + | 5.64540i | −0.395863 | + | 0.299627i | ||||
\(356\) | −16.8360 | + | 5.47034i | −0.892304 | + | 0.289927i | ||||
\(357\) | 10.3451 | + | 11.5550i | 0.547521 | + | 0.611556i | ||||
\(358\) | 5.54879 | + | 2.82725i | 0.293263 | + | 0.149425i | ||||
\(359\) | 2.96242 | + | 0.311363i | 0.156350 | + | 0.0164331i | 0.182380 | − | 0.983228i | \(-0.441620\pi\) |
−0.0260298 | + | 0.999661i | \(0.508286\pi\) | |||||||
\(360\) | 1.88458 | + | 4.63608i | 0.0993261 | + | 0.244343i | ||||
\(361\) | −0.404681 | − | 3.85028i | −0.0212990 | − | 0.202647i | ||||
\(362\) | 5.85796 | + | 7.23398i | 0.307887 | + | 0.380209i | ||||
\(363\) | −5.13164 | − | 32.3999i | −0.269341 | − | 1.70055i | ||||
\(364\) | 15.9016 | + | 8.15905i | 0.833471 | + | 0.427650i | ||||
\(365\) | −26.3711 | + | 7.62254i | −1.38032 | + | 0.398982i | ||||
\(366\) | −0.0301063 | + | 0.286443i | −0.00157368 | + | 0.0149726i | ||||
\(367\) | 15.5373 | − | 10.0900i | 0.811040 | − | 0.526696i | −0.0712185 | − | 0.997461i | \(-0.522689\pi\) |
0.882259 | + | 0.470765i | \(0.156022\pi\) | |||||||
\(368\) | 2.14431 | + | 8.00266i | 0.111780 | + | 0.417168i | ||||
\(369\) | 2.18317 | − | 2.42465i | 0.113651 | − | 0.126222i | ||||
\(370\) | −0.835373 | − | 1.78156i | −0.0434290 | − | 0.0926187i | ||||
\(371\) | 15.3849 | − | 2.39211i | 0.798745 | − | 0.124192i | ||||
\(372\) | −5.41874 | + | 2.76099i | −0.280948 | + | 0.143150i | ||||
\(373\) | −7.15806 | + | 2.74772i | −0.370630 | + | 0.142272i | −0.536552 | − | 0.843867i | \(-0.680273\pi\) |
0.165922 | + | 0.986139i | \(0.446940\pi\) | |||||||
\(374\) | −12.0026 | + | 20.7891i | −0.620640 | + | 1.07498i | ||||
\(375\) | −10.6550 | − | 3.38698i | −0.550220 | − | 0.174903i | ||||
\(376\) | −16.5726 | + | 9.56817i | −0.854664 | + | 0.493441i | ||||
\(377\) | −0.647008 | + | 4.08505i | −0.0333226 | + | 0.210391i | ||||
\(378\) | −1.49737 | + | 0.661602i | −0.0770166 | + | 0.0340291i | ||||
\(379\) | 22.5141 | + | 7.31526i | 1.15647 | + | 0.375760i | 0.823577 | − | 0.567205i | \(-0.191975\pi\) |
0.332893 | + | 0.942965i | \(0.391975\pi\) | |||||||
\(380\) | −9.88906 | + | 14.1872i | −0.507298 | + | 0.727788i | ||||
\(381\) | 2.74644 | − | 12.9210i | 0.140705 | − | 0.661963i | ||||
\(382\) | −2.45340 | + | 0.657386i | −0.125527 | + | 0.0336348i | ||||
\(383\) | 18.2059 | − | 0.954129i | 0.930277 | − | 0.0487537i | 0.418826 | − | 0.908066i | \(-0.362442\pi\) |
0.511451 | + | 0.859313i | \(0.329108\pi\) | |||||||
\(384\) | −9.20507 | − | 6.68788i | −0.469744 | − | 0.341289i | ||||
\(385\) | 11.4742 | − | 37.4363i | 0.584779 | − | 1.90793i | ||||
\(386\) | 7.64174 | − | 5.55205i | 0.388954 | − | 0.282592i | ||||
\(387\) | −4.72210 | + | 3.82388i | −0.240038 | + | 0.194379i | ||||
\(388\) | 9.13426 | + | 3.50631i | 0.463722 | + | 0.178006i | ||||
\(389\) | 1.35590 | − | 0.142511i | 0.0687470 | − | 0.00722560i | −0.0700925 | − | 0.997540i | \(-0.522329\pi\) |
0.138840 | + | 0.990315i | \(0.455663\pi\) | |||||||
\(390\) | −0.792147 | + | 5.72477i | −0.0401119 | + | 0.289885i | ||||
\(391\) | −15.4343 | + | 21.2435i | −0.780546 | + | 1.07433i | ||||
\(392\) | −15.6401 | − | 0.908472i | −0.789947 | − | 0.0458848i | ||||
\(393\) | 8.17513 | − | 8.17513i | 0.412381 | − | 0.412381i | ||||
\(394\) | −3.31767 | − | 2.98725i | −0.167142 | − | 0.150495i | ||||
\(395\) | 1.79842 | − | 4.26201i | 0.0904885 | − | 0.214445i | ||||
\(396\) | 7.16178 | + | 7.95396i | 0.359893 | + | 0.399702i | ||||
\(397\) | −10.0370 | + | 15.4557i | −0.503745 | + | 0.775699i | −0.995473 | − | 0.0950498i | \(-0.969699\pi\) |
0.491727 | + | 0.870749i | \(0.336366\pi\) | |||||||
\(398\) | 1.62173 | + | 0.256857i | 0.0812902 | + | 0.0128751i | ||||
\(399\) | −10.5922 | − | 6.92137i | −0.530274 | − | 0.346502i | ||||
\(400\) | 8.96346 | − | 2.27540i | 0.448173 | − | 0.113770i | ||||
\(401\) | 10.0236 | + | 17.3614i | 0.500554 | + | 0.866985i | 1.00000 | 0.000639967i | \(0.000203708\pi\) | |
−0.499446 | + | 0.866345i | \(0.666463\pi\) | |||||||
\(402\) | 3.05407 | + | 2.47314i | 0.152323 | + | 0.123349i | ||||
\(403\) | −15.6875 | − | 0.822145i | −0.781448 | − | 0.0409540i | ||||
\(404\) | 11.9641 | − | 2.54305i | 0.595237 | − | 0.126522i | ||||
\(405\) | 1.52847 | + | 1.63211i | 0.0759503 | + | 0.0811001i | ||||
\(406\) | −0.415078 | − | 1.56682i | −0.0206000 | − | 0.0777598i | ||||
\(407\) | −6.65589 | − | 6.65589i | −0.329920 | − | 0.329920i | ||||
\(408\) | −0.686623 | − | 13.1015i | −0.0339929 | − | 0.648623i | ||||
\(409\) | 17.9963 | − | 8.01245i | 0.889858 | − | 0.396190i | 0.0896925 | − | 0.995970i | \(-0.471412\pi\) |
0.800166 | + | 0.599779i | \(0.204745\pi\) | |||||||
\(410\) | 2.90893 | + | 3.45179i | 0.143662 | + | 0.170472i | ||||
\(411\) | −4.57293 | + | 10.2710i | −0.225566 | + | 0.506629i | ||||
\(412\) | −20.5033 | + | 3.24740i | −1.01012 | + | 0.159988i | ||||
\(413\) | −27.1663 | + | 19.6202i | −1.33677 | + | 0.965449i | ||||
\(414\) | −1.62910 | − | 2.24227i | −0.0800661 | − | 0.110202i | ||||
\(415\) | −20.0600 | + | 10.7209i | −0.984707 | + | 0.526268i | ||||
\(416\) | −9.54940 | − | 21.4483i | −0.468198 | − | 1.05159i | ||||
\(417\) | 10.9917 | + | 16.9257i | 0.538264 | + | 0.828854i | ||||
\(418\) | 5.06880 | − | 18.9170i | 0.247923 | − | 0.925262i | ||||
\(419\) | 11.2054 | + | 34.4866i | 0.547418 | + | 1.68478i | 0.715170 | + | 0.698950i | \(0.246349\pi\) |
−0.167752 | + | 0.985829i | \(0.553651\pi\) | |||||||
\(420\) | 2.63063 | + | 9.19851i | 0.128362 | + | 0.448841i | ||||
\(421\) | 9.60879 | − | 29.5728i | 0.468304 | − | 1.44129i | −0.386476 | − | 0.922299i | \(-0.626308\pi\) |
0.854780 | − | 0.518991i | \(-0.173692\pi\) | |||||||
\(422\) | −6.50109 | − | 4.22186i | −0.316468 | − | 0.205517i | ||||
\(423\) | −5.38092 | + | 6.64488i | −0.261629 | + | 0.323085i | ||||
\(424\) | −11.4061 | − | 6.58533i | −0.553930 | − | 0.319812i | ||||
\(425\) | 23.4827 | + | 17.5394i | 1.13908 | + | 0.850784i | ||||
\(426\) | 2.58839i | 0.125408i | ||||||||
\(427\) | −0.259471 | + | 1.20395i | −0.0125567 | + | 0.0582631i | ||||
\(428\) | 4.66150 | + | 9.14870i | 0.225322 | + | 0.442219i | ||||
\(429\) | 5.74804 | + | 27.0424i | 0.277518 | + | 1.30562i | ||||
\(430\) | −4.34507 | − | 7.19669i | −0.209538 | − | 0.347055i | ||||
\(431\) | 24.3536 | + | 5.17652i | 1.17307 | + | 0.249344i | 0.752921 | − | 0.658110i | \(-0.228644\pi\) |
0.420150 | + | 0.907455i | \(0.361977\pi\) | |||||||
\(432\) | −1.78653 | − | 0.478699i | −0.0859545 | − | 0.0230314i | ||||
\(433\) | 12.6169 | − | 24.7620i | 0.606329 | − | 1.18999i | −0.360066 | − | 0.932927i | \(-0.617246\pi\) |
0.966395 | − | 0.257061i | \(-0.0827541\pi\) | |||||||
\(434\) | 5.75360 | − | 2.18993i | 0.276182 | − | 0.105120i | ||||
\(435\) | −1.83285 | + | 1.24195i | −0.0878784 | + | 0.0595471i | ||||
\(436\) | −17.8783 | − | 7.95995i | −0.856218 | − | 0.381213i | ||||
\(437\) | 7.67716 | − | 19.9997i | 0.367248 | − | 0.956715i | ||||
\(438\) | −2.72209 | + | 7.09128i | −0.130066 | + | 0.338834i | ||||
\(439\) | −25.5333 | − | 11.3682i | −1.21864 | − | 0.542573i | −0.306271 | − | 0.951944i | \(-0.599081\pi\) |
−0.912368 | + | 0.409371i | \(0.865748\pi\) | |||||||
\(440\) | −27.4198 | + | 18.5799i | −1.30719 | + | 0.885762i | ||||
\(441\) | −6.66953 | + | 2.12540i | −0.317597 | + | 0.101209i | ||||
\(442\) | 6.87831 | − | 13.4994i | 0.327168 | − | 0.642103i | ||||
\(443\) | −20.4255 | − | 5.47300i | −0.970445 | − | 0.260030i | −0.261429 | − | 0.965223i | \(-0.584194\pi\) |
−0.709016 | + | 0.705193i | \(0.750860\pi\) | |||||||
\(444\) | 2.24970 | + | 0.478188i | 0.106766 | + | 0.0226938i | ||||
\(445\) | −12.6513 | − | 20.9542i | −0.599730 | − | 0.993325i | ||||
\(446\) | −0.626255 | − | 2.94630i | −0.0296540 | − | 0.139511i | ||||
\(447\) | −7.52371 | − | 14.7661i | −0.355859 | − | 0.698413i | ||||
\(448\) | −0.434346 | − | 0.393319i | −0.0205209 | − | 0.0185826i | ||||
\(449\) | 18.4321i | 0.869865i | 0.900463 | + | 0.434932i | \(0.143228\pi\) | ||||
−0.900463 | + | 0.434932i | \(0.856772\pi\) | |||||||
\(450\) | −2.52662 | + | 1.78523i | −0.119106 | + | 0.0841566i | ||||
\(451\) | 18.7009 | + | 10.7970i | 0.880591 | + | 0.508409i | ||||
\(452\) | −1.91469 | + | 2.36444i | −0.0900594 | + | 0.111214i | ||||
\(453\) | 8.45081 | + | 5.48802i | 0.397054 | + | 0.257850i | ||||
\(454\) | −1.34850 | + | 4.15025i | −0.0632882 | + | 0.194781i | ||||
\(455\) | −5.99538 | + | 23.9744i | −0.281068 | + | 1.12394i | ||||
\(456\) | 3.30753 | + | 10.1795i | 0.154889 | + | 0.476700i | ||||
\(457\) | 2.25171 | − | 8.40350i | 0.105331 | − | 0.393099i | −0.893052 | − | 0.449954i | \(-0.851440\pi\) |
0.998382 | + | 0.0568545i | \(0.0181071\pi\) | |||||||
\(458\) | −5.29238 | − | 8.14955i | −0.247297 | − | 0.380803i | ||||
\(459\) | −2.38428 | − | 5.35518i | −0.111289 | − | 0.249958i | ||||
\(460\) | −14.2858 | + | 7.63495i | −0.666081 | + | 0.355981i | ||||
\(461\) | 12.5719 | + | 17.3037i | 0.585531 | + | 0.805915i | 0.994288 | − | 0.106729i | \(-0.0340376\pi\) |
−0.408757 | + | 0.912643i | \(0.634038\pi\) | |||||||
\(462\) | −6.34355 | − | 8.78332i | −0.295129 | − | 0.408637i | ||||
\(463\) | −14.5831 | + | 2.30973i | −0.677733 | + | 0.107342i | −0.485806 | − | 0.874067i | \(-0.661474\pi\) |
−0.191927 | + | 0.981409i | \(0.561474\pi\) | |||||||
\(464\) | 0.744855 | − | 1.67297i | 0.0345790 | − | 0.0776658i | ||||
\(465\) | −5.41894 | − | 6.43021i | −0.251297 | − | 0.298194i | ||||
\(466\) | −10.0641 | + | 4.48085i | −0.466212 | + | 0.207571i | ||||
\(467\) | −0.0889301 | − | 1.69689i | −0.00411519 | − | 0.0785225i | 0.995800 | − | 0.0915568i | \(-0.0291843\pi\) |
−0.999915 | + | 0.0130342i | \(0.995851\pi\) | |||||||
\(468\) | −4.77666 | − | 4.77666i | −0.220801 | − | 0.220801i | ||||
\(469\) | 11.8487 | + | 11.9160i | 0.547124 | + | 0.550229i | ||||
\(470\) | −8.08626 | − | 8.63455i | −0.372991 | − | 0.398282i | ||||
\(471\) | −2.21162 | + | 0.470094i | −0.101906 | + | 0.0216608i | ||||
\(472\) | 28.3082 | + | 1.48357i | 1.30299 | + | 0.0682868i | ||||
\(473\) | −31.2530 | − | 25.3081i | −1.43701 | − | 1.16367i | ||||
\(474\) | −0.640012 | − | 1.10853i | −0.0293967 | − | 0.0509166i | ||||
\(475\) | −22.2088 | − | 8.86320i | −1.01901 | − | 0.406671i | ||||
\(476\) | 1.38353 | − | 25.0429i | 0.0634141 | − | 1.14784i | ||||
\(477\) | −5.81237 | − | 0.920588i | −0.266130 | − | 0.0421508i | ||||
\(478\) | −1.44848 | + | 2.23046i | −0.0662517 | + | 0.102019i | ||||
\(479\) | 9.78984 | + | 10.8727i | 0.447309 | + | 0.496787i | 0.924058 | − | 0.382253i | \(-0.124852\pi\) |
−0.476749 | + | 0.879040i | \(0.658185\pi\) | |||||||
\(480\) | 4.88604 | − | 11.5792i | 0.223016 | − | 0.528517i | ||||
\(481\) | 4.41493 | + | 3.97522i | 0.201304 | + | 0.181255i | ||||
\(482\) | −6.33589 | + | 6.33589i | −0.288592 | + | 0.288592i | ||||
\(483\) | −5.89667 | − | 10.2804i | −0.268308 | − | 0.467776i | ||||
\(484\) | −31.1815 | + | 42.9177i | −1.41734 | + | 1.95080i | ||||
\(485\) | −1.85431 | + | 13.4009i | −0.0841997 | + | 0.608503i | ||||
\(486\) | 0.615347 | − | 0.0646756i | 0.0279127 | − | 0.00293374i | ||||
\(487\) | −32.5699 | − | 12.5024i | −1.47588 | − | 0.566538i | −0.518428 | − | 0.855121i | \(-0.673483\pi\) |
−0.957455 | + | 0.288583i | \(0.906816\pi\) | |||||||
\(488\) | 0.809644 | − | 0.655637i | 0.0366509 | − | 0.0296793i | ||||
\(489\) | −10.2337 | + | 7.43522i | −0.462784 | + | 0.336232i | ||||
\(490\) | −1.64803 | − | 9.54351i | −0.0744505 | − | 0.431132i | ||||
\(491\) | −1.04520 | − | 0.759384i | −0.0471693 | − | 0.0342705i | 0.563951 | − | 0.825808i | \(-0.309281\pi\) |
−0.611120 | + | 0.791538i | \(0.709281\pi\) | |||||||
\(492\) | −5.26908 | + | 0.276141i | −0.237548 | + | 0.0124494i | ||||
\(493\) | 5.60635 | − | 1.50222i | 0.252497 | − | 0.0676564i | ||||
\(494\) | −2.56991 | + | 12.0905i | −0.115626 | + | 0.543976i | ||||
\(495\) | −8.46271 | + | 12.1409i | −0.380371 | + | 0.545693i | ||||
\(496\) | 6.61509 | + | 2.14937i | 0.297026 | + | 0.0965097i | ||||
\(497\) | −1.18808 | + | 11.0041i | −0.0532927 | + | 0.493603i | ||||
\(498\) | −0.984560 | + | 6.21626i | −0.0441192 | + | 0.278557i | ||||
\(499\) | 16.9040 | − | 9.75952i | 0.756726 | − | 0.436896i | −0.0713930 | − | 0.997448i | \(-0.522744\pi\) |
0.828119 | + | 0.560552i | \(0.189411\pi\) | |||||||
\(500\) | 8.31101 | + | 16.0571i | 0.371680 | + | 0.718094i | ||||
\(501\) | 3.38424 | − | 5.86168i | 0.151197 | − | 0.261880i | ||||
\(502\) | −1.03316 | + | 0.396593i | −0.0461122 | + | 0.0177008i | ||||
\(503\) | 11.6454 | − | 5.93361i | 0.519241 | − | 0.264567i | −0.174670 | − | 0.984627i | \(-0.555886\pi\) |
0.693911 | + | 0.720060i | \(0.255886\pi\) | |||||||
\(504\) | 5.52206 | + | 2.13767i | 0.245972 | + | 0.0952195i | ||||
\(505\) | 7.18011 | + | 15.3127i | 0.319511 | + | 0.681404i | ||||
\(506\) | 12.2743 | − | 13.6320i | 0.545659 | − | 0.606016i | ||||
\(507\) | −1.15149 | − | 4.29741i | −0.0511394 | − | 0.190855i | ||||
\(508\) | −17.9158 | + | 11.6347i | −0.794887 | + | 0.516206i | ||||
\(509\) | 1.21767 | − | 11.5854i | 0.0539724 | − | 0.513513i | −0.933821 | − | 0.357741i | \(-0.883547\pi\) |
0.987793 | − | 0.155772i | \(-0.0497864\pi\) | |||||||
\(510\) | 7.79131 | − | 2.25207i | 0.345005 | − | 0.0997235i | ||||
\(511\) | −14.8275 | + | 28.8980i | −0.655928 | + | 1.27837i | ||||
\(512\) | 2.92131 | + | 18.4444i | 0.129105 | + | 0.815136i | ||||
\(513\) | 3.00967 | + | 3.71663i | 0.132880 | + | 0.164093i | ||||
\(514\) | 0.616523 | + | 5.86583i | 0.0271937 | + | 0.258731i | ||||
\(515\) | −10.8091 | − | 26.5904i | −0.476305 | − | 1.17171i | ||||
\(516\) | 9.77240 | + | 1.02712i | 0.430206 | + | 0.0452165i | ||||
\(517\) | −50.4222 | − | 25.6914i | −2.21756 | − | 1.12991i | ||||
\(518\) | −2.21220 | − | 0.725717i | −0.0971986 | − | 0.0318862i | ||||
\(519\) | −7.47383 | + | 2.42839i | −0.328065 | + | 0.106595i | ||||
\(520\) | 16.6685 | − | 12.6163i | 0.730960 | − | 0.553260i | ||||
\(521\) | 10.4643 | − | 9.42207i | 0.458448 | − | 0.412789i | −0.407280 | − | 0.913303i | \(-0.633523\pi\) |
0.865728 | + | 0.500515i | \(0.166856\pi\) | |||||||
\(522\) | −0.0320626 | + | 0.611790i | −0.00140334 | + | 0.0267773i | ||||
\(523\) | 14.9091 | + | 38.8396i | 0.651931 | + | 1.69834i | 0.713887 | + | 0.700260i | \(0.246933\pi\) |
−0.0619561 | + | 0.998079i | \(0.519734\pi\) | |||||||
\(524\) | −18.6967 | −0.816767 | ||||||||
\(525\) | −11.5610 | + | 6.42991i | −0.504563 | + | 0.280624i | ||||
\(526\) | −17.5257 | −0.764155 | ||||||||
\(527\) | 7.90016 | + | 20.5806i | 0.344137 | + | 0.896506i | ||||
\(528\) | 0.640652 | − | 12.2244i | 0.0278808 | − | 0.531998i | ||||
\(529\) | −2.18082 | + | 1.96362i | −0.0948181 | + | 0.0853746i | ||||
\(530\) | 2.36388 | − | 7.79115i | 0.102680 | − | 0.338426i | ||||
\(531\) | 12.0459 | − | 3.91396i | 0.522748 | − | 0.169851i | ||||
\(532\) | 4.19765 | + | 20.0269i | 0.181991 | + | 0.868278i | ||||
\(533\) | −12.1435 | − | 6.18740i | −0.525991 | − | 0.268006i | ||||
\(534\) | −6.73593 | − | 0.707975i | −0.291492 | − | 0.0306371i | ||||
\(535\) | −10.8564 | + | 9.14904i | −0.469363 | + | 0.395548i | ||||
\(536\) | −1.48586 | − | 14.1371i | −0.0641796 | − | 0.610628i | ||||
\(537\) | −6.33408 | − | 7.82194i | −0.273336 | − | 0.337542i | ||||
\(538\) | 1.60963 | + | 10.1628i | 0.0693961 | + | 0.438149i | ||||
\(539\) | −22.9371 | − | 40.2527i | −0.987969 | − | 1.73381i | ||||
\(540\) | 0.118510 | − | 3.61415i | 0.00509988 | − | 0.155528i | ||||
\(541\) | 4.47303 | − | 42.5581i | 0.192311 | − | 1.82971i | −0.293858 | − | 0.955849i | \(-0.594939\pi\) |
0.486169 | − | 0.873865i | \(-0.338394\pi\) | |||||||
\(542\) | −7.58001 | + | 4.92252i | −0.325589 | + | 0.211440i | ||||
\(543\) | −3.89372 | − | 14.5316i | −0.167096 | − | 0.623609i | ||||
\(544\) | −22.0461 | + | 24.4847i | −0.945220 | + | 1.04977i | ||||
\(545\) | 5.10677 | − | 26.5738i | 0.218750 | − | 1.13830i | ||||
\(546\) | 4.28835 | + | 5.32642i | 0.183524 | + | 0.227950i | ||||
\(547\) | 19.7235 | − | 10.0496i | 0.843317 | − | 0.429692i | 0.0217228 | − | 0.999764i | \(-0.493085\pi\) |
0.821594 | + | 0.570072i | \(0.193085\pi\) | |||||||
\(548\) | 16.9741 | − | 6.51575i | 0.725098 | − | 0.278339i | ||||
\(549\) | 0.232749 | − | 0.403133i | 0.00993347 | − | 0.0172053i | ||||
\(550\) | −15.0340 | − | 13.9003i | −0.641053 | − | 0.592712i | ||||
\(551\) | −4.10081 | + | 2.36761i | −0.174701 | + | 0.100863i | ||||
\(552\) | −1.56831 | + | 9.90189i | −0.0667515 | + | 0.421453i | ||||
\(553\) | −2.21209 | − | 5.00653i | −0.0940677 | − | 0.212899i | ||||
\(554\) | 6.91975 | + | 2.24836i | 0.293992 | + | 0.0955237i | ||||
\(555\) | 0.0622666 | + | 3.17956i | 0.00264307 | + | 0.134965i | ||||
\(556\) | 6.78559 | − | 31.9237i | 0.287773 | − | 1.35387i | ||||
\(557\) | 17.6840 | − | 4.73841i | 0.749295 | − | 0.200773i | 0.136090 | − | 0.990697i | \(-0.456546\pi\) |
0.613205 | + | 0.789923i | \(0.289880\pi\) | |||||||
\(558\) | −2.32366 | + | 0.121778i | −0.0983685 | + | 0.00515528i | ||||
\(559\) | 20.5341 | + | 14.9189i | 0.868500 | + | 0.631002i | ||||
\(560\) | 5.31156 | − | 9.56644i | 0.224454 | − | 0.404256i | ||||
\(561\) | 31.3875 | − | 22.8044i | 1.32518 | − | 0.962802i | ||||
\(562\) | −14.1098 | + | 11.4259i | −0.595186 | + | 0.481972i | ||||
\(563\) | 11.8277 | + | 4.54024i | 0.498480 | + | 0.191348i | 0.594601 | − | 0.804021i | \(-0.297310\pi\) |
−0.0961208 | + | 0.995370i | \(0.530644\pi\) | |||||||
\(564\) | 13.7516 | − | 1.44535i | 0.579047 | − | 0.0608603i | ||||
\(565\) | −3.78501 | − | 1.83611i | −0.159236 | − | 0.0772459i | ||||
\(566\) | −7.37812 | + | 10.1551i | −0.310126 | + | 0.426851i | ||||
\(567\) | 2.64574 | + | 0.00748857i | 0.111111 | + | 0.000314490i | ||||
\(568\) | 6.62037 | − | 6.62037i | 0.277785 | − | 0.277785i | ||||
\(569\) | 4.98148 | + | 4.48535i | 0.208835 | + | 0.188036i | 0.766910 | − | 0.641755i | \(-0.221793\pi\) |
−0.558075 | + | 0.829790i | \(0.688460\pi\) | |||||||
\(570\) | −5.66431 | + | 3.41989i | −0.237252 | + | 0.143243i | ||||
\(571\) | 4.25076 | + | 4.72095i | 0.177889 | + | 0.197566i | 0.825495 | − | 0.564410i | \(-0.190896\pi\) |
−0.647606 | + | 0.761976i | \(0.724230\pi\) | |||||||
\(572\) | 24.3503 | − | 37.4962i | 1.01814 | − | 1.56779i | ||||
\(573\) | 4.05451 | + | 0.642171i | 0.169380 | + | 0.0268271i | ||||
\(574\) | 5.33297 | + | 0.294627i | 0.222594 | + | 0.0122975i | ||||
\(575\) | −14.7657 | − | 16.8407i | −0.615772 | − | 0.702307i | ||||
\(576\) | 0.110737 | + | 0.191802i | 0.00461405 | + | 0.00799177i | ||||
\(577\) | 13.7647 | + | 11.1464i | 0.573032 | + | 0.464032i | 0.871505 | − | 0.490386i | \(-0.163144\pi\) |
−0.298474 | + | 0.954418i | \(0.596477\pi\) | |||||||
\(578\) | −10.7282 | − | 0.562243i | −0.446236 | − | 0.0233862i | ||||
\(579\) | −14.9325 | + | 3.17400i | −0.620574 | + | 0.131907i | ||||
\(580\) | 3.51606 | + | 0.675693i | 0.145997 | + | 0.0280566i | ||||
\(581\) | −7.03900 | + | 25.9756i | −0.292027 | + | 1.07765i | ||||
\(582\) | 2.64703 | + | 2.64703i | 0.109723 | + | 0.109723i | ||||
\(583\) | −2.03840 | − | 38.8950i | −0.0844218 | − | 1.61086i | ||||
\(584\) | 25.0999 | − | 11.1752i | 1.03864 | − | 0.462432i | ||||
\(585\) | 4.93285 | − | 7.93171i | 0.203948 | − | 0.327936i | ||||
\(586\) | 5.39756 | − | 12.1231i | 0.222971 | − | 0.500801i | ||||
\(587\) | −10.8594 | + | 1.71996i | −0.448216 | + | 0.0709904i | −0.376462 | − | 0.926432i | \(-0.622860\pi\) |
−0.0717536 | + | 0.997422i | \(0.522860\pi\) | |||||||
\(588\) | 10.0571 | + | 5.19626i | 0.414747 | + | 0.214290i | ||||
\(589\) | −10.5713 | − | 14.5502i | −0.435583 | − | 0.599529i | ||||
\(590\) | 3.07966 | + | 17.2509i | 0.126788 | + | 0.710209i | ||||
\(591\) | 2.93472 | + | 6.59150i | 0.120718 | + | 0.271138i | ||||
\(592\) | −1.43265 | − | 2.20609i | −0.0588816 | − | 0.0906697i | ||||
\(593\) | 3.06253 | − | 11.4295i | 0.125763 | − | 0.469355i | −0.874103 | − | 0.485741i | \(-0.838550\pi\) |
0.999866 | + | 0.0163868i | \(0.00521632\pi\) | |||||||
\(594\) | 1.26545 | + | 3.89465i | 0.0519219 | + | 0.159799i | ||||
\(595\) | 34.1573 | − | 5.99810i | 1.40031 | − | 0.245898i | ||||
\(596\) | −8.28174 | + | 25.4886i | −0.339233 | + | 1.04405i | ||||
\(597\) | −2.22559 | − | 1.44532i | −0.0910873 | − | 0.0591528i | ||||
\(598\) | −7.28597 | + | 8.99742i | −0.297945 | + | 0.367932i | ||||
\(599\) | −25.7408 | − | 14.8615i | −1.05174 | − | 0.607223i | −0.128605 | − | 0.991696i | \(-0.541050\pi\) |
−0.923136 | + | 0.384473i | \(0.874383\pi\) | |||||||
\(600\) | 11.0285 | + | 1.89627i | 0.450238 | + | 0.0774151i | ||||
\(601\) | − | 17.0429i | − | 0.695194i | −0.937644 | − | 0.347597i | \(-0.886998\pi\) | ||
0.937644 | − | 0.347597i | \(-0.113002\pi\) | |||||||
\(602\) | −9.72364 | − | 2.09561i | −0.396306 | − | 0.0854105i | ||||
\(603\) | −2.88348 | − | 5.65915i | −0.117424 | − | 0.230458i | ||||
\(604\) | −3.38797 | − | 15.9392i | −0.137855 | − | 0.648555i | ||||
\(605\) | −67.5812 | − | 28.5170i | −2.74757 | − | 1.15938i | ||||
\(606\) | 4.57754 | + | 0.972987i | 0.185950 | + | 0.0395249i | ||||
\(607\) | −7.92996 | − | 2.12483i | −0.321867 | − | 0.0862440i | 0.0942680 | − | 0.995547i | \(-0.469949\pi\) |
−0.416135 | + | 0.909303i | \(0.636616\pi\) | |||||||
\(608\) | 12.2031 | − | 23.9500i | 0.494902 | − | 0.971301i | ||||
\(609\) | −0.417123 | + | 2.58622i | −0.0169027 | + | 0.104799i | ||||
\(610\) | 0.508348 | + | 0.395426i | 0.0205824 | + | 0.0160103i | ||||
\(611\) | 32.6287 | + | 14.5272i | 1.32002 | + | 0.587710i | ||||
\(612\) | −3.39725 | + | 8.85014i | −0.137326 | + | 0.357746i | ||||
\(613\) | −10.8548 | + | 28.2778i | −0.438423 | + | 1.14213i | 0.519340 | + | 0.854568i | \(0.326178\pi\) |
−0.957762 | + | 0.287562i | \(0.907155\pi\) | |||||||
\(614\) | 4.76686 | + | 2.12234i | 0.192375 | + | 0.0856508i | ||||
\(615\) | −2.02586 | − | 7.00869i | −0.0816904 | − | 0.282618i | ||||
\(616\) | −6.24026 | + | 38.6903i | −0.251427 | + | 1.55888i | ||||
\(617\) | −4.29173 | + | 8.42299i | −0.172778 | + | 0.339097i | −0.961115 | − | 0.276147i | \(-0.910942\pi\) |
0.788337 | + | 0.615244i | \(0.210942\pi\) | |||||||
\(618\) | −7.67182 | − | 2.05566i | −0.308606 | − | 0.0826907i | ||||
\(619\) | 7.91066 | + | 1.68146i | 0.317956 | + | 0.0675837i | 0.364125 | − | 0.931350i | \(-0.381368\pi\) |
−0.0461690 | + | 0.998934i | \(0.514701\pi\) | |||||||
\(620\) | −1.15639 | + | 13.5496i | −0.0464418 | + | 0.544165i | ||||
\(621\) | 0.931329 | + | 4.38156i | 0.0373729 | + | 0.175826i | ||||
\(622\) | −3.29096 | − | 6.45887i | −0.131955 | − | 0.258977i | ||||
\(623\) | −28.3118 | − | 6.10167i | −1.13429 | − | 0.244458i | ||||
\(624\) | 7.72595i | 0.309286i | ||||||||
\(625\) | −19.0137 | + | 16.2321i | −0.760546 | + | 0.649284i | ||||
\(626\) | −5.96865 | − | 3.44600i | −0.238555 | − | 0.137730i | ||||
\(627\) | −19.9193 | + | 24.5983i | −0.795502 | + | 0.982363i | ||||
\(628\) | 3.06656 | + | 1.99145i | 0.122369 | + | 0.0794674i | ||||
\(629\) | 2.57627 | − | 7.92894i | 0.102723 | − | 0.316148i | ||||
\(630\) | −0.511990 | + | 3.62451i | −0.0203982 | + | 0.144404i | ||||
\(631\) | 9.78023 | + | 30.1005i | 0.389345 | + | 1.19828i | 0.933279 | + | 0.359152i | \(0.116934\pi\) |
−0.543934 | + | 0.839128i | \(0.683066\pi\) | |||||||
\(632\) | −1.19835 | + | 4.47229i | −0.0476677 | + | 0.177898i | ||||
\(633\) | 6.82335 | + | 10.5070i | 0.271204 | + | 0.417617i | ||||
\(634\) | −1.24257 | − | 2.79087i | −0.0493489 | − | 0.110840i | ||||
\(635\) | −21.2913 | − | 20.4734i | −0.844918 | − | 0.812460i | ||||
\(636\) | 5.59379 | + | 7.69919i | 0.221808 | + | 0.305293i | ||||
\(637\) | 15.7864 | + | 24.6128i | 0.625480 | + | 0.975196i | ||||
\(638\) | −4.00474 | + | 0.634288i | −0.158549 | + | 0.0251117i | ||||
\(639\) | 1.70152 | − | 3.82167i | 0.0673110 | − | 0.151183i | ||||
\(640\) | −23.5693 | + | 9.58098i | −0.931657 | + | 0.378722i | ||||
\(641\) | 6.68674 | − | 2.97713i | 0.264110 | − | 0.117589i | −0.270410 | − | 0.962745i | \(-0.587159\pi\) |
0.534520 | + | 0.845156i | \(0.320492\pi\) | |||||||
\(642\) | 0.205603 | + | 3.92315i | 0.00811452 | + | 0.154834i | ||||
\(643\) | 19.1837 | + | 19.1837i | 0.756531 | + | 0.756531i | 0.975689 | − | 0.219158i | \(-0.0703310\pi\) |
−0.219158 | + | 0.975689i | \(0.570331\pi\) | |||||||
\(644\) | −5.01286 | + | 18.4986i | −0.197534 | + | 0.728949i | ||||
\(645\) | 1.68450 | + | 13.4820i | 0.0663273 | + | 0.530853i | ||||
\(646\) | 16.9669 | − | 3.60642i | 0.667552 | − | 0.141893i | ||||
\(647\) | 18.3814 | + | 0.963331i | 0.722649 | + | 0.0378724i | 0.410115 | − | 0.912034i | \(-0.365489\pi\) |
0.312535 | + | 0.949906i | \(0.398822\pi\) | |||||||
\(648\) | −1.73931 | − | 1.40846i | −0.0683265 | − | 0.0553297i | ||||
\(649\) | 41.9140 | + | 72.5972i | 1.64527 | + | 2.84969i | ||||
\(650\) | 9.93480 | + | 8.26451i | 0.389675 | + | 0.324161i | ||||
\(651\) | −9.93460 | − | 0.548851i | −0.389368 | − | 0.0215112i | ||||
\(652\) | 20.2046 | + | 3.20009i | 0.791272 | + | 0.125325i | ||||
\(653\) | −2.06602 | + | 3.18139i | −0.0808495 | + | 0.124497i | −0.876782 | − | 0.480888i | \(-0.840314\pi\) |
0.795932 | + | 0.605385i | \(0.206981\pi\) | |||||||
\(654\) | −5.01025 | − | 5.56445i | −0.195916 | − | 0.217587i | ||||
\(655\) | −5.86902 | − | 25.1770i | −0.229322 | − | 0.983748i | ||||
\(656\) | 4.48452 | + | 4.03788i | 0.175091 | + | 0.157653i | ||||
\(657\) | 8.68064 | − | 8.68064i | 0.338664 | − | 0.338664i | ||||
\(658\) | −13.9971 | − | 0.0396177i | −0.545663 | − | 0.00154446i | ||||
\(659\) | 25.3351 | − | 34.8707i | 0.986914 | − | 1.35837i | 0.0538938 | − | 0.998547i | \(-0.482837\pi\) |
0.933020 | − | 0.359824i | \(-0.117163\pi\) | |||||||
\(660\) | 23.5604 | − | 4.20604i | 0.917087 | − | 0.163720i | ||||
\(661\) | −8.62019 | + | 0.906019i | −0.335287 | + | 0.0352400i | −0.270676 | − | 0.962671i | \(-0.587247\pi\) |
−0.0646106 | + | 0.997911i | \(0.520581\pi\) | |||||||
\(662\) | 5.81615 | + | 2.23261i | 0.226051 | + | 0.0867729i | ||||
\(663\) | −19.0297 | + | 15.4099i | −0.739052 | + | 0.598473i | ||||
\(664\) | 18.4177 | − | 13.3812i | 0.714746 | − | 0.519293i | ||||
\(665\) | −25.6507 | + | 11.9392i | −0.994691 | + | 0.462981i | ||||
\(666\) | 0.711916 | + | 0.517237i | 0.0275862 | + | 0.0200425i | ||||
\(667\) | −4.42915 | + | 0.232122i | −0.171497 | + | 0.00898780i | ||||
\(668\) | −10.5728 | + | 2.83297i | −0.409073 | + | 0.109611i | ||||
\(669\) | −1.01215 | + | 4.76179i | −0.0391320 | + | 0.184102i | ||||
\(670\) | 8.30256 | − | 2.87858i | 0.320756 | − | 0.111209i | ||||
\(671\) | 2.93008 | + | 0.952041i | 0.113114 | + | 0.0367531i | ||||
\(672\) | −6.00991 | − | 13.6020i | −0.231837 | − | 0.524707i | ||||
\(673\) | 6.83668 | − | 43.1651i | 0.263535 | − | 1.66389i | −0.400581 | − | 0.916261i | \(-0.631192\pi\) |
0.664115 | − | 0.747630i | \(-0.268808\pi\) | |||||||
\(674\) | 9.91791 | − | 5.72611i | 0.382024 | − | 0.220561i | ||||
\(675\) | 4.90403 | − | 0.974922i | 0.188756 | − | 0.0375247i | ||||
\(676\) | −3.59739 | + | 6.23086i | −0.138361 | + | 0.239649i | ||||
\(677\) | −15.5769 | + | 5.97943i | −0.598670 | + | 0.229808i | −0.638783 | − | 0.769387i | \(-0.720562\pi\) |
0.0401123 | + | 0.999195i | \(0.487228\pi\) | |||||||
\(678\) | −1.03719 | + | 0.528475i | −0.0398331 | + | 0.0202960i | ||||
\(679\) | 10.0384 | + | 12.4684i | 0.385240 | + | 0.478494i | ||||
\(680\) | −25.6882 | − | 14.1678i | −0.985097 | − | 0.543311i | ||||
\(681\) | 4.71925 | − | 5.24126i | 0.180842 | − | 0.200846i | ||||
\(682\) | −3.98585 | − | 14.8754i | −0.152626 | − | 0.569608i | ||||
\(683\) | −10.8696 | + | 7.05881i | −0.415914 | + | 0.270098i | −0.735587 | − | 0.677430i | \(-0.763094\pi\) |
0.319673 | + | 0.947528i | \(0.396427\pi\) | |||||||
\(684\) | 0.808418 | − | 7.69159i | 0.0309106 | − | 0.294095i | ||||
\(685\) | 14.1024 | + | 20.8121i | 0.538826 | + | 0.795188i | ||||
\(686\) | −9.55712 | − | 6.32249i | −0.364893 | − | 0.241394i | ||||
\(687\) | 2.45679 | + | 15.5116i | 0.0937325 | + | 0.591804i | ||||
\(688\) | −7.07247 | − | 8.73377i | −0.269635 | − | 0.332972i | ||||
\(689\) | 2.56953 | + | 24.4474i | 0.0978911 | + | 0.931372i | ||||
\(690\) | −6.18145 | + | 0.445467i | −0.235324 | + | 0.0169586i | ||||
\(691\) | −10.9331 | − | 1.14912i | −0.415915 | − | 0.0437145i | −0.105740 | − | 0.994394i | \(-0.533721\pi\) |
−0.310175 | + | 0.950679i | \(0.600388\pi\) | |||||||
\(692\) | 11.3233 | + | 5.76949i | 0.430446 | + | 0.219323i | ||||
\(693\) | 3.59220 | + | 17.1383i | 0.136456 | + | 0.651032i | ||||
\(694\) | 11.2109 | − | 3.64265i | 0.425561 | − | 0.138273i | ||||
\(695\) | 45.1187 | − | 0.883577i | 1.71145 | − | 0.0335160i | ||||
\(696\) | 1.64680 | − | 1.48278i | 0.0624216 | − | 0.0562047i | ||||
\(697\) | −1.00097 | + | 19.0996i | −0.0379144 | + | 0.723449i | ||||
\(698\) | −3.26606 | − | 8.50837i | −0.123622 | − | 0.322047i | ||||
\(699\) | 17.8049 | 0.673445 | ||||||||
\(700\) | 20.5727 | + | 5.86743i | 0.777576 | + | 0.221768i | ||||
\(701\) | 0.152579 | 0.00576283 | 0.00288141 | − | 0.999996i | \(-0.499083\pi\) | ||||
0.00288141 | + | 0.999996i | \(0.499083\pi\) | |||||||
\(702\) | −0.926233 | − | 2.41292i | −0.0349584 | − | 0.0910698i | ||||
\(703\) | −0.355969 | + | 6.79230i | −0.0134256 | + | 0.256176i | ||||
\(704\) | −1.08931 | + | 0.980822i | −0.0410550 | + | 0.0369661i | ||||
\(705\) | 6.26305 | + | 18.0643i | 0.235880 | + | 0.680340i | ||||
\(706\) | 13.1828 | − | 4.28337i | 0.496143 | − | 0.161207i | ||||
\(707\) | 19.0141 | + | 6.23761i | 0.715099 | + | 0.234590i | ||||
\(708\) | −18.2502 | − | 9.29896i | −0.685886 | − | 0.349476i | ||||
\(709\) | 45.1002 | + | 4.74023i | 1.69377 | + | 0.178023i | 0.901688 | − | 0.432386i | \(-0.142328\pi\) |
0.792086 | + | 0.610409i | \(0.208995\pi\) | |||||||
\(710\) | 4.91486 | + | 3.05662i | 0.184451 | + | 0.114713i | ||||
\(711\) | 0.216245 | + | 2.05744i | 0.00810984 | + | 0.0771599i | ||||
\(712\) | 15.4178 | + | 19.0394i | 0.577808 | + | 0.713533i | ||||
\(713\) | −2.63524 | − | 16.6382i | −0.0986904 | − | 0.623107i | ||||
\(714\) | 4.38076 | − | 8.53790i | 0.163946 | − | 0.319523i | ||||
\(715\) | 58.1363 | + | 21.0199i | 2.17417 | + | 0.786100i | ||||
\(716\) | −1.70138 | + | 16.1875i | −0.0635835 | + | 0.604956i | ||||
\(717\) | 3.60486 | − | 2.34102i | 0.134626 | − | 0.0874270i | ||||
\(718\) | −0.477017 | − | 1.78025i | −0.0178021 | − | 0.0664384i | ||||
\(719\) | 14.7600 | − | 16.3926i | 0.550453 | − | 0.611341i | −0.402143 | − | 0.915577i | \(-0.631735\pi\) |
0.952597 | + | 0.304236i | \(0.0984012\pi\) | |||||||
\(720\) | −3.01867 | + | 2.82699i | −0.112499 | + | 0.105356i | ||||
\(721\) | −31.6720 | − | 12.2607i | −1.17953 | − | 0.456613i | ||||
\(722\) | −2.13435 | + | 1.08750i | −0.0794322 | + | 0.0404727i | ||||
\(723\) | 13.5197 | − | 5.18974i | 0.502805 | − | 0.193009i | ||||
\(724\) | −12.1645 | + | 21.0695i | −0.452089 | + | 0.783040i | ||||
\(725\) | 0.193827 | + | 4.94685i | 0.00719855 | + | 0.183722i | ||||
\(726\) | −17.5776 | + | 10.1485i | −0.652367 | + | 0.376645i | ||||
\(727\) | 2.44855 | − | 15.4595i | 0.0908116 | − | 0.573362i | −0.899762 | − | 0.436381i | \(-0.856260\pi\) |
0.990574 | − | 0.136981i | \(-0.0437400\pi\) | |||||||
\(728\) | 2.65511 | − | 24.5919i | 0.0984048 | − | 0.911436i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | 10.2505 | + | 13.5428i | 0.379387 | + | 0.501242i | ||||
\(731\) | 7.40552 | − | 34.8402i | 0.273903 | − | 1.28861i | ||||
\(732\) | −0.727136 | + | 0.194835i | −0.0268757 | + | 0.00720132i | ||||
\(733\) | −10.3205 | + | 0.540874i | −0.381196 | + | 0.0199776i | −0.241972 | − | 0.970283i | \(-0.577794\pi\) |
−0.139224 | + | 0.990261i | \(0.544461\pi\) | |||||||
\(734\) | −9.27358 | − | 6.73765i | −0.342294 | − | 0.248691i | ||||
\(735\) | −3.84031 | + | 15.1741i | −0.141652 | + | 0.559704i | ||||
\(736\) | 20.3685 | − | 14.7986i | 0.750793 | − | 0.545483i | ||||
\(737\) | 32.6685 | − | 26.4544i | 1.20336 | − | 0.974461i | ||||
\(738\) | −1.88466 | − | 0.723454i | −0.0693754 | − | 0.0266307i | ||||
\(739\) | −14.5189 | + | 1.52599i | −0.534085 | + | 0.0561346i | −0.367732 | − | 0.929932i | \(-0.619866\pi\) |
−0.166353 | + | 0.986066i | \(0.553199\pi\) | |||||||
\(740\) | 3.56465 | − | 3.70705i | 0.131039 | − | 0.136274i | ||||
\(741\) | 11.7422 | − | 16.1618i | 0.431362 | − | 0.593719i | ||||
\(742\) | −4.79316 | − | 8.35653i | −0.175962 | − | 0.306778i | ||||
\(743\) | 37.0008 | − | 37.0008i | 1.35743 | − | 1.35743i | 0.480356 | − | 0.877074i | \(-0.340508\pi\) |
0.877074 | − | 0.480356i | \(-0.159492\pi\) | |||||||
\(744\) | 6.25476 | + | 5.63181i | 0.229311 | + | 0.206472i | ||||
\(745\) | −36.9228 | − | 3.15118i | −1.35275 | − | 0.115450i | ||||
\(746\) | 3.17439 | + | 3.52552i | 0.116223 | + | 0.129078i | ||||
\(747\) | 5.54003 | − | 8.53090i | 0.202699 | − | 0.312129i | ||||
\(748\) | −61.9689 | − | 9.81491i | −2.26581 | − | 0.358869i | ||||
\(749\) | −0.926649 | + | 16.7730i | −0.0338590 | + | 0.612873i | ||||
\(750\) | 0.406130 | + | 6.90576i | 0.0148298 | + | 0.252163i | ||||
\(751\) | −1.27155 | − | 2.20239i | −0.0463996 | − | 0.0803665i | 0.841893 | − | 0.539645i | \(-0.181441\pi\) |
−0.888292 | + | 0.459278i | \(0.848108\pi\) | |||||||
\(752\) | −12.2901 | − | 9.95229i | −0.448172 | − | 0.362923i | ||||
\(753\) | 1.78613 | + | 0.0936073i | 0.0650903 | + | 0.00341124i | ||||
\(754\) | 2.50316 | − | 0.532062i | 0.0911596 | − | 0.0193766i | ||||
\(755\) | 20.4003 | − | 9.56569i | 0.742441 | − | 0.348131i | ||||
\(756\) | −3.01686 | − | 3.03399i | −0.109722 | − | 0.110345i | ||||
\(757\) | 5.33760 | + | 5.33760i | 0.193998 | + | 0.193998i | 0.797421 | − | 0.603423i | \(-0.206197\pi\) |
−0.603423 | + | 0.797421i | \(0.706197\pi\) | |||||||
\(758\) | −0.766573 | − | 14.6271i | −0.0278432 | − | 0.531279i | ||||
\(759\) | −27.0838 | + | 12.0585i | −0.983081 | + | 0.437696i | ||||
\(760\) | 23.2349 | + | 5.74062i | 0.842817 | + | 0.208234i | ||||
\(761\) | −1.68928 | + | 3.79418i | −0.0612363 | + | 0.137539i | −0.941572 | − | 0.336813i | \(-0.890651\pi\) |
0.880335 | + | 0.474352i | \(0.157318\pi\) | |||||||
\(762\) | −8.07268 | + | 1.27859i | −0.292442 | + | 0.0463183i | ||||
\(763\) | −18.7462 | − | 25.9561i | −0.678659 | − | 0.939675i | ||||
\(764\) | −3.90204 | − | 5.37070i | −0.141171 | − | 0.194305i | ||||
\(765\) | −12.9841 | − | 1.79663i | −0.469440 | − | 0.0649572i | ||||
\(766\) | −4.58803 | − | 10.3049i | −0.165772 | − | 0.372331i | ||||
\(767\) | −28.8156 | − | 44.3721i | −1.04047 | − | 1.60218i | ||||
\(768\) | −1.70745 | + | 6.37231i | −0.0616125 | + | 0.229941i | ||||
\(769\) | −14.6965 | − | 45.2313i | −0.529971 | − | 1.63108i | −0.754271 | − | 0.656563i | \(-0.772010\pi\) |
0.224300 | − | 0.974520i | \(-0.427990\pi\) | |||||||
\(770\) | −24.1690 | + | 1.67299i | −0.870989 | + | 0.0602904i | ||||
\(771\) | 2.94572 | − | 9.06599i | 0.106087 | − | 0.326504i | ||||
\(772\) | 20.7049 | + | 13.4459i | 0.745187 | + | 0.483930i | ||||
\(773\) | −20.1258 | + | 24.8533i | −0.723876 | + | 0.893912i | −0.997694 | − | 0.0678692i | \(-0.978380\pi\) |
0.273818 | + | 0.961781i | \(0.411713\pi\) | |||||||
\(774\) | 3.25589 | + | 1.87979i | 0.117030 | + | 0.0675675i | ||||
\(775\) | −18.6090 | + | 2.69612i | −0.668453 | + | 0.0968474i | ||||
\(776\) | − | 13.5407i | − | 0.486083i | ||||||
\(777\) | 2.78919 | + | 2.52573i | 0.100062 | + | 0.0906099i | ||||
\(778\) | −0.382972 | − | 0.751625i | −0.0137302 | − | 0.0269470i | ||||
\(779\) | −3.24416 | − | 15.2626i | −0.116234 | − | 0.546838i | ||||
\(780\) | −14.7107 | + | 3.42922i | −0.526729 | + | 0.122786i | ||||
\(781\) | 27.0822 | + | 5.75649i | 0.969077 | + | 0.205984i | ||||
\(782\) | 15.6934 | + | 4.20504i | 0.561196 | + | 0.150372i | ||||
\(783\) | 0.449510 | − | 0.882212i | 0.0160642 | − | 0.0315277i | ||||
\(784\) | −3.93103 | − | 12.3356i | −0.140394 | − | 0.440559i | ||||
\(785\) | −1.71908 | + | 4.75458i | −0.0613565 | + | 0.169698i | ||||
\(786\) | −6.53500 | − | 2.90957i | −0.233096 | − | 0.103781i | ||||
\(787\) | 13.0339 | − | 33.9546i | 0.464610 | − | 1.21035i | −0.478565 | − | 0.878052i | \(-0.658843\pi\) |
0.943175 | − | 0.332298i | \(-0.107824\pi\) | |||||||
\(788\) | 4.18155 | − | 10.8933i | 0.148962 | − | 0.388058i | ||||
\(789\) | 25.8761 | + | 11.5208i | 0.921214 | + | 0.410151i | ||||
\(790\) | −2.86068 | − | 0.0938039i | −0.101779 | − | 0.00333739i | ||||
\(791\) | −4.65203 | + | 1.77066i | −0.165407 | + | 0.0629573i | ||||
\(792\) | 6.72476 | − | 13.1981i | 0.238954 | − | 0.468974i | ||||
\(793\) | −1.87822 | − | 0.503268i | −0.0666976 | − | 0.0178716i | ||||
\(794\) | 11.1534 | + | 2.37073i | 0.395820 | + | 0.0841341i | ||||
\(795\) | −8.61183 | + | 9.94946i | −0.305430 | + | 0.352871i | ||||
\(796\) | 0.892251 | + | 4.19771i | 0.0316250 | + | 0.148784i | ||||
\(797\) | 8.89322 | + | 17.4539i | 0.315014 | + | 0.618250i | 0.993171 | − | 0.116667i | \(-0.0372210\pi\) |
−0.678157 | + | 0.734917i | \(0.737221\pi\) | |||||||
\(798\) | −1.64939 | + | 7.65321i | −0.0583879 | + | 0.270921i | ||||
\(799\) | − | 50.1220i | − | 1.77319i | ||||||
\(800\) | −16.2168 | − | 22.9516i | −0.573352 | − | 0.811460i | ||||
\(801\) | 9.47999 | + | 5.47328i | 0.334959 | + | 0.193389i | ||||
\(802\) | 7.80604 | − | 9.63966i | 0.275641 | − | 0.340388i | ||||
\(803\) | 68.1419 | + | 44.2519i | 2.40467 | + | 1.56161i | ||||
\(804\) | −3.17400 | + | 9.76857i | −0.111938 | + | 0.344511i | ||||
\(805\) | −26.4839 | − | 0.943476i | −0.933437 | − | 0.0332532i | ||||
\(806\) | 3.00356 | + | 9.24401i | 0.105796 | + | 0.325607i | ||||
\(807\) | 4.30411 | − | 16.0632i | 0.151512 | − | 0.565450i | ||||
\(808\) | −9.21945 | − | 14.1967i | −0.324339 | − | 0.499438i | ||||
\(809\) | −16.4027 | − | 36.8411i | −0.576689 | − | 1.29526i | −0.932656 | − | 0.360766i | \(-0.882515\pi\) |
0.355968 | − | 0.934498i | \(-0.384151\pi\) | |||||||
\(810\) | 0.603856 | − | 1.24480i | 0.0212173 | − | 0.0437379i | ||||
\(811\) | 11.4849 | + | 15.8076i | 0.403288 | + | 0.555078i | 0.961565 | − | 0.274576i | \(-0.0885375\pi\) |
−0.558277 | + | 0.829654i | \(0.688537\pi\) | |||||||
\(812\) | 3.43434 | − | 2.48037i | 0.120522 | − | 0.0870441i | ||||
\(813\) | 14.4275 | − | 2.28510i | 0.505996 | − | 0.0801419i | ||||
\(814\) | −2.36886 | + | 5.32056i | −0.0830286 | + | 0.186485i | ||||
\(815\) | 2.03311 | + | 28.2121i | 0.0712167 | + | 0.988227i | ||||
\(816\) | 9.90468 | − | 4.40985i | 0.346733 | − | 0.154376i | ||||
\(817\) | 1.52083 | + | 29.0191i | 0.0532070 | + | 1.01525i | ||||
\(818\) | −8.61873 | − | 8.61873i | −0.301347 | − | 0.301347i | ||||
\(819\) | −2.83020 | − | 10.6833i | −0.0988951 | − | 0.373305i | ||||
\(820\) | −5.69791 | + | 10.3311i | −0.198980 | + | 0.360777i | ||||
\(821\) | −38.9118 | + | 8.27097i | −1.35803 | + | 0.288659i | −0.828670 | − | 0.559737i | \(-0.810902\pi\) |
−0.529362 | + | 0.848396i | \(0.677569\pi\) | |||||||
\(822\) | 6.94690 | + | 0.364072i | 0.242301 | + | 0.0126985i | ||||
\(823\) | 39.8019 | + | 32.2310i | 1.38741 | + | 1.12350i | 0.977395 | + | 0.211421i | \(0.0678092\pi\) |
0.410013 | + | 0.912080i | \(0.365524\pi\) | |||||||
\(824\) | 14.3646 | + | 24.8802i | 0.500414 | + | 0.866742i | ||||
\(825\) | 13.0597 | + | 30.4062i | 0.454679 | + | 1.05861i | ||||
\(826\) | 17.3572 | + | 11.3419i | 0.603933 | + | 0.394634i | ||||
\(827\) | −5.11650 | − | 0.810375i | −0.177918 | − | 0.0281795i | 0.0668395 | − | 0.997764i | \(-0.478708\pi\) |
−0.244758 | + | 0.969584i | \(0.578708\pi\) | |||||||
\(828\) | 3.94537 | − | 6.07533i | 0.137111 | − | 0.211132i | ||||
\(829\) | 14.3948 | + | 15.9870i | 0.499952 | + | 0.555253i | 0.939315 | − | 0.343057i | \(-0.111462\pi\) |
−0.439363 | + | 0.898310i | \(0.644796\pi\) | |||||||
\(830\) | 10.6408 | + | 9.21027i | 0.369349 | + | 0.319693i | ||||
\(831\) | −8.73879 | − | 7.86844i | −0.303145 | − | 0.272953i | ||||
\(832\) | 0.654175 | − | 0.654175i | 0.0226794 | − | 0.0226794i | ||||
\(833\) | 22.5431 | − | 34.2868i | 0.781071 | − | 1.18797i | ||||
\(834\) | 7.33971 | − | 10.1022i | 0.254153 | − | 0.349812i | ||||
\(835\) | −7.13377 | − | 13.3481i | −0.246874 | − | 0.461929i | ||||
\(836\) | 50.9063 | − | 5.35047i | 1.76063 | − | 0.185050i | ||||
\(837\) | 3.51087 | + | 1.34770i | 0.121353 | + | 0.0465832i | ||||
\(838\) | 17.4362 | − | 14.1196i | 0.602324 | − | 0.487752i | ||||
\(839\) | 5.38271 | − | 3.91077i | 0.185832 | − | 0.135015i | −0.490980 | − | 0.871171i | \(-0.663361\pi\) |
0.676812 | + | 0.736156i | \(0.263361\pi\) | |||||||
\(840\) | 10.5800 | − | 7.96097i | 0.365046 | − | 0.274680i | ||||
\(841\) | −22.6684 | − | 16.4695i | −0.781668 | − | 0.567915i | ||||
\(842\) | −19.2131 | + | 1.00691i | −0.662126 | + | 0.0347005i | ||||
\(843\) | 28.3437 | − | 7.59466i | 0.976208 | − | 0.261574i | ||||
\(844\) | 4.21233 | − | 19.8174i | 0.144994 | − | 0.682145i | ||||
\(845\) | −9.51976 | − | 2.88835i | −0.327490 | − | 0.0993622i | ||||
\(846\) | 5.03149 | + | 1.63483i | 0.172986 | + | 0.0562067i | ||||
\(847\) | −79.3868 | + | 35.0764i | −2.72776 | + | 1.20524i | ||||
\(848\) | 1.70268 | − | 10.7503i | 0.0584701 | − | 0.369166i | ||||
\(849\) | 17.5692 | − | 10.1436i | 0.602973 | − | 0.348127i | ||||
\(850\) | 4.92448 | − | 17.4537i | 0.168908 | − | 0.598656i | ||||
\(851\) | −3.18537 | + | 5.51721i | −0.109193 | + | 0.189128i | ||||
\(852\) | −6.31581 | + | 2.42441i | −0.216376 | + | 0.0830591i | ||||
\(853\) | 35.7278 | − | 18.2042i | 1.22330 | − | 0.623301i | 0.281526 | − | 0.959554i | \(-0.409160\pi\) |
0.941772 | + | 0.336252i | \(0.109160\pi\) | |||||||
\(854\) | 0.752983 | − | 0.117077i | 0.0257665 | − | 0.00400629i | ||||
\(855\) | 10.6113 | − | 1.32583i | 0.362899 | − | 0.0453423i | ||||
\(856\) | 9.50844 | − | 10.5602i | 0.324992 | − | 0.360940i | ||||
\(857\) | 8.41953 | + | 31.4221i | 0.287606 | + | 1.07336i | 0.946914 | + | 0.321487i | \(0.104182\pi\) |
−0.659308 | + | 0.751873i | \(0.729151\pi\) | |||||||
\(858\) | 14.3463 | − | 9.31657i | 0.489773 | − | 0.318062i | ||||
\(859\) | −5.09356 | + | 48.4620i | −0.173790 | + | 1.65350i | 0.465877 | + | 0.884849i | \(0.345739\pi\) |
−0.639667 | + | 0.768652i | \(0.720928\pi\) | |||||||
\(860\) | 13.4905 | − | 17.3430i | 0.460023 | − | 0.591392i | ||||
\(861\) | −7.68029 | − | 3.94072i | −0.261743 | − | 0.134299i | ||||
\(862\) | −2.40989 | − | 15.2154i | −0.0820812 | − | 0.518240i | ||||
\(863\) | −10.8840 | − | 13.4406i | −0.370496 | − | 0.457524i | 0.557466 | − | 0.830200i | \(-0.311774\pi\) |
−0.927962 | + | 0.372676i | \(0.878440\pi\) | |||||||
\(864\) | 0.587505 | + | 5.58974i | 0.0199873 | + | 0.190167i | ||||
\(865\) | −4.21477 | + | 17.0591i | −0.143306 | + | 0.580025i | ||||
\(866\) | −17.1012 | − | 1.79741i | −0.581121 | − | 0.0610783i | ||||
\(867\) | 15.4703 | + | 7.88252i | 0.525399 | + | 0.267704i | ||||
\(868\) | 10.7327 | + | 11.9879i | 0.364291 | + | 0.406896i | ||||
\(869\) | −13.0219 | + | 4.23107i | −0.441738 | + | 0.143529i | ||||
\(870\) | 1.12381 | + | 0.783343i | 0.0381007 | + | 0.0265578i | ||||
\(871\) | −19.7165 | + | 17.7528i | −0.668067 | + | 0.601531i | ||||
\(872\) | −1.41748 | + | 27.0472i | −0.0480020 | + | 0.915932i | ||||
\(873\) | −2.16819 | − | 5.64832i | −0.0733820 | − | 0.191167i | ||||
\(874\) | −13.2549 | −0.448355 | ||||||||
\(875\) | −1.44317 | + | 29.5452i | −0.0487881 | + | 0.998809i | ||||
\(876\) | −19.8528 | −0.670763 | ||||||||
\(877\) | 10.9424 | + | 28.5059i | 0.369498 | + | 0.962575i | 0.984708 | + | 0.174212i | \(0.0557377\pi\) |
−0.615210 | + | 0.788363i | \(0.710929\pi\) | |||||||
\(878\) | −0.905072 | + | 17.2698i | −0.0305447 | + | 0.582828i | ||||
\(879\) | −15.9386 | + | 14.3512i | −0.537597 | + | 0.484055i | ||||
\(880\) | −22.4552 | − | 15.6522i | −0.756965 | − | 0.527636i | ||||
\(881\) | −16.5890 | + | 5.39011i | −0.558899 | + | 0.181597i | −0.574826 | − | 0.818276i | \(-0.694930\pi\) |
0.0159268 | + | 0.999873i | \(0.494930\pi\) | |||||||
\(882\) | 2.70659 | + | 3.38132i | 0.0911356 | + | 0.113855i | ||||
\(883\) | −25.3451 | − | 12.9140i | −0.852932 | − | 0.434591i | −0.0278558 | − | 0.999612i | \(-0.508868\pi\) |
−0.825076 | + | 0.565021i | \(0.808868\pi\) | |||||||
\(884\) | 39.3820 | + | 4.13922i | 1.32456 | + | 0.139217i | ||||
\(885\) | 6.79314 | − | 27.4949i | 0.228349 | − | 0.924231i | ||||
\(886\) | 1.36763 | + | 13.0122i | 0.0459465 | + | 0.437152i | ||||
\(887\) | −26.5385 | − | 32.7723i | −0.891074 | − | 1.10039i | −0.994394 | − | 0.105737i | \(-0.966280\pi\) |
0.103320 | − | 0.994648i | \(-0.467053\pi\) | |||||||
\(888\) | −0.497934 | − | 3.14383i | −0.0167096 | − | 0.105500i | ||||
\(889\) | −34.9066 | + | 1.73032i | −1.17073 | + | 0.0580331i | ||||
\(890\) | −9.29876 | + | 11.9542i | −0.311695 | + | 0.400706i | ||||
\(891\) | 0.691816 | − | 6.58219i | 0.0231767 | − | 0.220512i | ||||
\(892\) | 6.60255 | − | 4.28775i | 0.221070 | − | 0.143564i | ||||
\(893\) | 10.5835 | + | 39.4981i | 0.354162 | + | 1.32175i | ||||
\(894\) | −6.86123 | + | 7.62017i | −0.229474 | + | 0.254856i | ||||
\(895\) | −22.3323 | + | 2.79030i | −0.746486 | + | 0.0932695i | ||||
\(896\) | −10.8677 | + | 28.0735i | −0.363063 | + | 0.937870i | ||||
\(897\) | 16.6721 | − | 8.49486i | 0.556665 | − | 0.283635i | ||||
\(898\) | 10.6471 | − | 4.08705i | 0.355299 | − | 0.136387i | ||||
\(899\) | −1.86177 | + | 3.22467i | −0.0620934 | + | 0.107549i | ||||
\(900\) | −6.72263 | − | 4.49297i | −0.224088 | − | 0.149766i | ||||
\(901\) | 29.8750 | − | 17.2483i | 0.995280 | − | 0.574625i | ||||
\(902\) | 2.09012 | − | 13.1965i | 0.0695932 | − | 0.439394i | ||||
\(903\) | 12.9791 | + | 9.48609i | 0.431916 | + | 0.315677i | ||||
\(904\) | 4.00454 | + | 1.30115i | 0.133189 | + | 0.0432757i | ||||
\(905\) | −32.1908 | − | 9.76686i | −1.07006 | − | 0.324661i | ||||
\(906\) | 1.29626 | − | 6.09842i | 0.0430653 | − | 0.202606i | ||||
\(907\) | −35.4711 | + | 9.50446i | −1.17780 | + | 0.315590i | −0.794053 | − | 0.607848i | \(-0.792033\pi\) |
−0.383746 | + | 0.923439i | \(0.625366\pi\) | |||||||
\(908\) | −11.3899 | + | 0.596921i | −0.377988 | + | 0.0198095i | ||||
\(909\) | −6.11899 | − | 4.44571i | −0.202954 | − | 0.147455i | ||||
\(910\) | 15.1780 | − | 1.85279i | 0.503144 | − | 0.0614195i | ||||
\(911\) | −43.0675 | + | 31.2904i | −1.42689 | + | 1.03670i | −0.436304 | + | 0.899799i | \(0.643713\pi\) |
−0.990585 | + | 0.136897i | \(0.956287\pi\) | |||||||
\(912\) | −6.87411 | + | 5.56654i | −0.227624 | + | 0.184327i | ||||
\(913\) | 62.8509 | + | 24.1262i | 2.08006 | + | 0.798460i | ||||
\(914\) | −5.35349 | + | 0.562674i | −0.177078 | + | 0.0186116i | ||||
\(915\) | −0.490620 | − | 0.918004i | −0.0162194 | − | 0.0303483i | ||||
\(916\) | 14.9283 | − | 20.5470i | 0.493244 | − | 0.678892i | ||||
\(917\) | −26.4471 | − | 15.3692i | −0.873359 | − | 0.507535i | ||||
\(918\) | −2.56469 | + | 2.56469i | −0.0846474 | + | 0.0846474i | ||||
\(919\) | −43.2414 | − | 38.9347i | −1.42640 | − | 1.28434i | −0.901231 | − | 0.433339i | \(-0.857335\pi\) |
−0.525170 | − | 0.850997i | \(-0.675998\pi\) | |||||||
\(920\) | 16.9498 | + | 14.6710i | 0.558819 | + | 0.483690i | ||||
\(921\) | −5.64297 | − | 6.26715i | −0.185942 | − | 0.206510i | ||||
\(922\) | 7.20770 | − | 11.0989i | 0.237373 | − | 0.365522i | ||||
\(923\) | −17.2595 | − | 2.73364i | −0.568104 | − | 0.0899788i | ||||
\(924\) | 15.4901 | − | 23.7055i | 0.509588 | − | 0.779855i | ||||
\(925\) | 6.11091 | + | 3.63650i | 0.200925 | + | 0.119567i | ||||
\(926\) | 4.56778 | + | 7.91163i | 0.150107 | + | 0.259992i | ||||
\(927\) | 9.97588 | + | 8.07831i | 0.327651 | + | 0.265326i | ||||
\(928\) | −5.55743 | − | 0.291253i | −0.182432 | − | 0.00956083i | ||||
\(929\) | −21.4555 | + | 4.56051i | −0.703933 | + | 0.149626i | −0.545952 | − | 0.837816i | \(-0.683832\pi\) |
−0.157981 | + | 0.987442i | \(0.550499\pi\) | |||||||
\(930\) | −2.51278 | + | 4.55600i | −0.0823972 | + | 0.149397i | ||||
\(931\) | −10.5250 | + | 31.7794i | −0.344943 | + | 1.04153i | ||||
\(932\) | −20.3601 | − | 20.3601i | −0.666917 | − | 0.666917i | ||||
\(933\) | 0.613154 | + | 11.6997i | 0.0200738 | + | 0.383030i | ||||
\(934\) | −0.960471 | + | 0.427629i | −0.0314276 | + | 0.0139925i | ||||
\(935\) | −6.23570 | − | 86.5287i | −0.203929 | − | 2.82979i | ||||
\(936\) | −3.80253 | + | 8.54063i | −0.124290 | + | 0.279159i | ||||
\(937\) | 42.6186 | − | 6.75013i | 1.39229 | − | 0.220517i | 0.585173 | − | 0.810908i | \(-0.301027\pi\) |
0.807117 | + | 0.590391i | \(0.201027\pi\) | |||||||
\(938\) | 4.25588 | − | 9.48650i | 0.138959 | − | 0.309745i | ||||
\(939\) | 6.54724 | + | 9.01150i | 0.213661 | + | 0.294079i | ||||
\(940\) | 13.4948 | − | 27.8185i | 0.440152 | − | 0.907339i | ||||
\(941\) | −9.07887 | − | 20.3915i | −0.295963 | − | 0.664743i | 0.702956 | − | 0.711233i | \(-0.251863\pi\) |
−0.998919 | + | 0.0464904i | \(0.985196\pi\) | |||||||
\(942\) | 0.761939 | + | 1.17328i | 0.0248253 | + | 0.0382277i | ||||
\(943\) | 3.78265 | − | 14.1170i | 0.123180 | − | 0.459714i | ||||
\(944\) | 7.23906 | + | 22.2795i | 0.235611 | + | 0.725138i | ||||
\(945\) | 3.13857 | − | 5.01492i | 0.102098 | − | 0.163135i | ||||
\(946\) | −7.68912 | + | 23.6647i | −0.249995 | + | 0.769405i | ||||
\(947\) | −14.3244 | − | 9.30237i | −0.465480 | − | 0.302287i | 0.290507 | − | 0.956873i | \(-0.406176\pi\) |
−0.755987 | + | 0.654586i | \(0.772843\pi\) | |||||||
\(948\) | 2.10542 | − | 2.59997i | 0.0683808 | − | 0.0844433i | ||||
\(949\) | −44.4102 | − | 25.6402i | −1.44162 | − | 0.832318i | ||||
\(950\) | −0.195263 | + | 14.7940i | −0.00633518 | + | 0.479980i | ||||
\(951\) | 4.93746i | 0.160108i | ||||||||
\(952\) | −33.0424 | + | 10.6328i | −1.07091 | + | 0.344611i | ||||
\(953\) | −10.8402 | − | 21.2750i | −0.351148 | − | 0.689166i | 0.646104 | − | 0.763249i | \(-0.276397\pi\) |
−0.997252 | + | 0.0740830i | \(0.976397\pi\) | |||||||
\(954\) | 0.757038 | + | 3.56159i | 0.0245100 | + | 0.115311i | ||||
\(955\) | 6.00733 | − | 6.94041i | 0.194393 | − | 0.224586i | ||||
\(956\) | −6.79916 | − | 1.44521i | −0.219901 | − | 0.0467413i | ||||
\(957\) | 6.32983 | + | 1.69607i | 0.204614 | + | 0.0548262i | ||||
\(958\) | 4.10977 | − | 8.06587i | 0.132781 | − | 0.260596i | ||||
\(959\) | 29.3666 | + | 4.73645i | 0.948296 | + | 0.152948i | ||||
\(960\) | 0.494966 | + | 0.0162303i | 0.0159749 | + | 0.000523830i | ||||
\(961\) | 15.4001 | + | 6.85657i | 0.496777 | + | 0.221180i | ||||
\(962\) | 1.31730 | − | 3.43169i | 0.0424715 | − | 0.110642i | ||||
\(963\) | 2.27538 | − | 5.92756i | 0.0733230 | − | 0.191013i | ||||
\(964\) | −21.3944 | − | 9.52542i | −0.689069 | − | 0.306793i | ||||
\(965\) | −11.6069 | + | 32.1022i | −0.373641 | + | 1.03341i | ||||
\(966\) | −4.63089 | + | 5.68569i | −0.148996 | + | 0.182934i | ||||
\(967\) | −6.31131 | + | 12.3866i | −0.202958 | + | 0.398327i | −0.969941 | − | 0.243340i | \(-0.921757\pi\) |
0.766983 | + | 0.641667i | \(0.221757\pi\) | |||||||
\(968\) | 70.9156 | + | 19.0018i | 2.27932 | + | 0.610741i | ||||
\(969\) | −27.4218 | − | 5.82868i | −0.880914 | − | 0.187244i | ||||
\(970\) | 8.15207 | − | 1.90033i | 0.261747 | − | 0.0610160i | ||||
\(971\) | −4.84450 | − | 22.7916i | −0.155468 | − | 0.731417i | −0.984944 | − | 0.172875i | \(-0.944694\pi\) |
0.829476 | − | 0.558542i | \(-0.188639\pi\) | |||||||
\(972\) | 0.734177 | + | 1.44090i | 0.0235488 | + | 0.0462170i | ||||
\(973\) | 35.8406 | − | 39.5792i | 1.14900 | − | 1.26885i | ||||
\(974\) | 21.5859i | 0.691658i | ||||||||
\(975\) | −9.23562 | − | 18.7331i | −0.295777 | − | 0.599939i | ||||
\(976\) | 0.745615 | + | 0.430481i | 0.0238665 | + | 0.0137794i | ||||
\(977\) | 25.7899 | − | 31.8479i | 0.825092 | − | 1.01890i | −0.174322 | − | 0.984689i | \(-0.555773\pi\) |
0.999414 | − | 0.0342153i | \(-0.0108932\pi\) | |||||||
\(978\) | 6.56406 | + | 4.26275i | 0.209896 | + | 0.136308i | ||||
\(979\) | −22.3880 | + | 68.9032i | −0.715524 | + | 2.20216i | ||||
\(980\) | 21.7431 | − | 12.9602i | 0.694557 | − | 0.413999i | ||||
\(981\) | 3.73960 | + | 11.5093i | 0.119396 | + | 0.367464i | ||||
\(982\) | −0.206892 | + | 0.772133i | −0.00660220 | + | 0.0246398i | ||||
\(983\) | 5.58248 | + | 8.59626i | 0.178053 | + | 0.274178i | 0.916417 | − | 0.400224i | \(-0.131068\pi\) |
−0.738364 | + | 0.674403i | \(0.764401\pi\) | |||||||
\(984\) | 2.97005 | + | 6.67084i | 0.0946817 | + | 0.212659i | ||||
\(985\) | 15.9816 | + | 2.21141i | 0.509217 | + | 0.0704612i | ||||
\(986\) | −2.11087 | − | 2.90536i | −0.0672237 | − | 0.0925254i | ||||
\(987\) | 20.6402 | + | 9.25971i | 0.656986 | + | 0.294740i | ||||
\(988\) | −31.9085 | + | 5.05382i | −1.01515 | + | 0.160783i | ||||
\(989\) | −11.0706 | + | 24.8649i | −0.352024 | + | 0.790658i | ||||
\(990\) | 8.88956 | + | 2.19634i | 0.282529 | + | 0.0698042i | ||||
\(991\) | 46.6528 | − | 20.7712i | 1.48197 | − | 0.659817i | 0.503090 | − | 0.864234i | \(-0.332196\pi\) |
0.978884 | + | 0.204417i | \(0.0655297\pi\) | |||||||
\(992\) | −1.10622 | − | 21.1079i | −0.0351224 | − | 0.670176i | ||||
\(993\) | −7.11972 | − | 7.11972i | −0.225937 | − | 0.225937i | ||||
\(994\) | 6.61987 | − | 1.75372i | 0.209970 | − | 0.0556247i | ||||
\(995\) | −5.37257 | + | 2.51920i | −0.170322 | + | 0.0798641i | ||||
\(996\) | −16.0902 | + | 3.42008i | −0.509839 | + | 0.108370i | ||||
\(997\) | −45.6488 | − | 2.39235i | −1.44571 | − | 0.0757665i | −0.686746 | − | 0.726898i | \(-0.740961\pi\) |
−0.758965 | + | 0.651131i | \(0.774295\pi\) | |||||||
\(998\) | −9.38570 | − | 7.60039i | −0.297099 | − | 0.240586i | ||||
\(999\) | −0.711107 | − | 1.23167i | −0.0224984 | − | 0.0389684i |
(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 | 525.2.bv.a.52.16 | ✓ | 640 | |
7.5 | odd | 6 | inner | 525.2.bv.a.502.16 | yes | 640 | |
25.13 | odd | 20 | inner | 525.2.bv.a.388.16 | yes | 640 | |
175.138 | even | 60 | inner | 525.2.bv.a.313.16 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bv.a.52.16 | ✓ | 640 | 1.1 | even | 1 | trivial | |
525.2.bv.a.313.16 | yes | 640 | 175.138 | even | 60 | inner | |
525.2.bv.a.388.16 | yes | 640 | 25.13 | odd | 20 | inner | |
525.2.bv.a.502.16 | yes | 640 | 7.5 | odd | 6 | inner |