Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(21,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 13, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.bm (of order \(32\), 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: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 341.45 | ||
Character | \(\chi\) | \(=\) | 640.341 |
Dual form | 640.2.bm.a.381.45 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{29}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.822181 | − | 1.15066i | 0.581370 | − | 0.813639i | ||||
\(3\) | 0.201260 | − | 0.245236i | 0.116198 | − | 0.141587i | −0.711663 | − | 0.702521i | \(-0.752058\pi\) |
0.827861 | + | 0.560934i | \(0.189558\pi\) | |||||||
\(4\) | −0.648036 | − | 1.89210i | −0.324018 | − | 0.946051i | ||||
\(5\) | −0.956940 | + | 0.290285i | −0.427957 | + | 0.129819i | ||||
\(6\) | −0.116711 | − | 0.433210i | −0.0476471 | − | 0.176857i | ||||
\(7\) | −2.74012 | − | 0.545044i | −1.03567 | − | 0.206007i | −0.352153 | − | 0.935943i | \(-0.614550\pi\) |
−0.683516 | + | 0.729935i | \(0.739550\pi\) | |||||||
\(8\) | −2.70997 | − | 0.809981i | −0.958119 | − | 0.286372i | ||||
\(9\) | 0.565636 | + | 2.84364i | 0.188545 | + | 0.947881i | ||||
\(10\) | −0.452759 | + | 1.33978i | −0.143175 | + | 0.423675i | ||||
\(11\) | −5.93055 | − | 0.584108i | −1.78813 | − | 0.176115i | −0.851016 | − | 0.525140i | \(-0.824013\pi\) |
−0.937113 | + | 0.349025i | \(0.886513\pi\) | |||||||
\(12\) | −0.594435 | − | 0.221883i | −0.171599 | − | 0.0640520i | ||||
\(13\) | −1.54989 | + | 5.10930i | −0.429862 | + | 1.41706i | 0.428278 | + | 0.903647i | \(0.359120\pi\) |
−0.858139 | + | 0.513417i | \(0.828380\pi\) | |||||||
\(14\) | −2.88004 | + | 2.70482i | −0.769723 | + | 0.722895i | ||||
\(15\) | −0.121406 | + | 0.293099i | −0.0313468 | + | 0.0756778i | ||||
\(16\) | −3.16010 | + | 2.45230i | −0.790025 | + | 0.613075i | ||||
\(17\) | −0.333940 | − | 0.806201i | −0.0809922 | − | 0.195533i | 0.878196 | − | 0.478301i | \(-0.158747\pi\) |
−0.959188 | + | 0.282768i | \(0.908747\pi\) | |||||||
\(18\) | 3.73712 | + | 1.68714i | 0.880848 | + | 0.397662i | ||||
\(19\) | 0.123550 | − | 0.0660386i | 0.0283442 | − | 0.0151503i | −0.457164 | − | 0.889383i | \(-0.651135\pi\) |
0.485508 | + | 0.874232i | \(0.338635\pi\) | |||||||
\(20\) | 1.16938 | + | 1.62251i | 0.261481 | + | 0.362805i | ||||
\(21\) | −0.685142 | + | 0.562281i | −0.149510 | + | 0.122700i | ||||
\(22\) | −5.54810 | + | 6.34381i | −1.18286 | + | 1.35250i | ||||
\(23\) | 5.15622 | − | 7.71682i | 1.07515 | − | 1.60907i | 0.327654 | − | 0.944798i | \(-0.393742\pi\) |
0.747492 | − | 0.664271i | \(-0.231258\pi\) | |||||||
\(24\) | −0.744045 | + | 0.501565i | −0.151878 | + | 0.102382i | ||||
\(25\) | 0.831470 | − | 0.555570i | 0.166294 | − | 0.111114i | ||||
\(26\) | 4.60477 | + | 5.98416i | 0.903070 | + | 1.17359i | ||||
\(27\) | 1.65057 | + | 0.882247i | 0.317652 | + | 0.169788i | ||||
\(28\) | 0.744419 | + | 5.53780i | 0.140682 | + | 1.04655i | ||||
\(29\) | −0.760028 | − | 7.71669i | −0.141134 | − | 1.43295i | −0.761257 | − | 0.648450i | \(-0.775418\pi\) |
0.620124 | − | 0.784504i | \(-0.287082\pi\) | |||||||
\(30\) | 0.237440 | + | 0.380677i | 0.0433504 | + | 0.0695018i | ||||
\(31\) | −2.80087 | − | 2.80087i | −0.503052 | − | 0.503052i | 0.409333 | − | 0.912385i | \(-0.365761\pi\) |
−0.912385 | + | 0.409333i | \(0.865761\pi\) | |||||||
\(32\) | 0.223590 | + | 5.65243i | 0.0395255 | + | 0.999219i | ||||
\(33\) | −1.33683 | + | 1.33683i | −0.232712 | + | 0.232712i | ||||
\(34\) | −1.20222 | − | 0.278593i | −0.206179 | − | 0.0477783i | ||||
\(35\) | 2.78035 | − | 0.273841i | 0.469965 | − | 0.0462875i | ||||
\(36\) | 5.01391 | − | 2.91302i | 0.835652 | − | 0.485504i | ||||
\(37\) | −1.71200 | + | 3.20293i | −0.281452 | + | 0.526559i | −0.982432 | − | 0.186622i | \(-0.940246\pi\) |
0.700980 | + | 0.713181i | \(0.252746\pi\) | |||||||
\(38\) | 0.0255921 | − | 0.196459i | 0.00415159 | − | 0.0318699i | ||||
\(39\) | 0.941053 | + | 1.40839i | 0.150689 | + | 0.225522i | ||||
\(40\) | 2.82840 | − | 0.0115584i | 0.447210 | − | 0.00182755i | ||||
\(41\) | −0.589295 | − | 0.393755i | −0.0920325 | − | 0.0614941i | 0.508703 | − | 0.860942i | \(-0.330125\pi\) |
−0.600735 | + | 0.799448i | \(0.705125\pi\) | |||||||
\(42\) | 0.0836838 | + | 1.25066i | 0.0129127 | + | 0.192981i | ||||
\(43\) | −2.27983 | − | 2.77798i | −0.347671 | − | 0.423639i | 0.569587 | − | 0.821931i | \(-0.307103\pi\) |
−0.917259 | + | 0.398292i | \(0.869603\pi\) | |||||||
\(44\) | 2.73802 | + | 11.5997i | 0.412772 | + | 1.74873i | ||||
\(45\) | −1.36675 | − | 2.55700i | −0.203742 | − | 0.381175i | ||||
\(46\) | −4.64009 | − | 12.2777i | −0.684145 | − | 1.81024i | ||||
\(47\) | −9.23838 | + | 3.82666i | −1.34756 | + | 0.558176i | −0.935611 | − | 0.353033i | \(-0.885150\pi\) |
−0.411945 | + | 0.911209i | \(0.635150\pi\) | |||||||
\(48\) | −0.0346090 | + | 1.26852i | −0.00499538 | + | 0.183095i | ||||
\(49\) | 0.744043 | + | 0.308193i | 0.106292 | + | 0.0440275i | ||||
\(50\) | 0.0443463 | − | 1.41352i | 0.00627152 | − | 0.199902i | ||||
\(51\) | −0.264918 | − | 0.0803621i | −0.0370960 | − | 0.0112529i | ||||
\(52\) | 10.6717 | − | 0.378462i | 1.47990 | − | 0.0524833i | ||||
\(53\) | −0.302218 | + | 3.06847i | −0.0415129 | + | 0.421487i | 0.951858 | + | 0.306538i | \(0.0991706\pi\) |
−0.993371 | + | 0.114949i | \(0.963329\pi\) | |||||||
\(54\) | 2.37223 | − | 1.17387i | 0.322820 | − | 0.159744i | ||||
\(55\) | 5.84474 | − | 1.16259i | 0.788105 | − | 0.156764i | ||||
\(56\) | 6.98417 | + | 3.69650i | 0.933299 | + | 0.493966i | ||||
\(57\) | 0.00867054 | − | 0.0435897i | 0.00114844 | − | 0.00577360i | ||||
\(58\) | −9.50417 | − | 5.46999i | −1.24796 | − | 0.718244i | ||||
\(59\) | 3.63714 | + | 11.9900i | 0.473515 | + | 1.56097i | 0.790452 | + | 0.612523i | \(0.209845\pi\) |
−0.316937 | + | 0.948446i | \(0.602655\pi\) | |||||||
\(60\) | 0.633248 | + | 0.0397730i | 0.0817520 | + | 0.00513467i | ||||
\(61\) | −11.5478 | − | 9.47700i | −1.47854 | − | 1.21341i | −0.924652 | − | 0.380814i | \(-0.875644\pi\) |
−0.553888 | − | 0.832591i | \(-0.686856\pi\) | |||||||
\(62\) | −5.52568 | + | 0.920027i | −0.701762 | + | 0.116844i | ||||
\(63\) | − | 8.10023i | − | 1.02053i | ||||||
\(64\) | 6.68786 | + | 4.39005i | 0.835983 | + | 0.548756i | ||||
\(65\) | − | 5.33920i | − | 0.662246i | ||||||
\(66\) | 0.439119 | + | 2.63735i | 0.0540519 | + | 0.324635i | ||||
\(67\) | 9.55787 | + | 7.84394i | 1.16768 | + | 0.958290i | 0.999622 | − | 0.0274871i | \(-0.00875053\pi\) |
0.168058 | + | 0.985777i | \(0.446251\pi\) | |||||||
\(68\) | −1.30901 | + | 1.15430i | −0.158741 | + | 0.139979i | ||||
\(69\) | −0.854703 | − | 2.81758i | −0.102894 | − | 0.339197i | ||||
\(70\) | 1.97086 | − | 3.42439i | 0.235562 | − | 0.409292i | ||||
\(71\) | 1.38132 | − | 6.94439i | 0.163933 | − | 0.824147i | −0.808053 | − | 0.589110i | \(-0.799479\pi\) |
0.971986 | − | 0.235038i | \(-0.0755214\pi\) | |||||||
\(72\) | 0.770443 | − | 8.16434i | 0.0907976 | − | 0.962177i | ||||
\(73\) | 2.85534 | − | 0.567962i | 0.334192 | − | 0.0664750i | −0.0251420 | − | 0.999684i | \(-0.508004\pi\) |
0.359334 | + | 0.933209i | \(0.383004\pi\) | |||||||
\(74\) | 2.27791 | + | 4.60333i | 0.264802 | + | 0.535126i | ||||
\(75\) | 0.0310958 | − | 0.315720i | 0.00359063 | − | 0.0364563i | ||||
\(76\) | −0.205016 | − | 0.190973i | −0.0235170 | − | 0.0219061i | ||||
\(77\) | 15.9321 | + | 4.83294i | 1.81563 | + | 0.550765i | ||||
\(78\) | 2.39429 | + | 0.0751161i | 0.271100 | + | 0.00850523i | ||||
\(79\) | −11.3149 | − | 4.68677i | −1.27302 | − | 0.527303i | −0.359140 | − | 0.933284i | \(-0.616930\pi\) |
−0.913882 | + | 0.405981i | \(0.866930\pi\) | |||||||
\(80\) | 2.31216 | − | 3.26403i | 0.258507 | − | 0.364930i | ||||
\(81\) | −7.48741 | + | 3.10139i | −0.831934 | + | 0.344598i | ||||
\(82\) | −0.937585 | + | 0.354341i | −0.103539 | + | 0.0391304i | ||||
\(83\) | −2.31472 | − | 4.33053i | −0.254073 | − | 0.475338i | 0.722256 | − | 0.691625i | \(-0.243105\pi\) |
−0.976330 | + | 0.216288i | \(0.930605\pi\) | |||||||
\(84\) | 1.50789 | + | 0.931979i | 0.164524 | + | 0.101687i | ||||
\(85\) | 0.553588 | + | 0.674549i | 0.0600451 | + | 0.0731651i | ||||
\(86\) | −5.07095 | + | 0.339306i | −0.546815 | + | 0.0365883i | ||||
\(87\) | −2.04538 | − | 1.36668i | −0.219287 | − | 0.146523i | ||||
\(88\) | 15.5985 | + | 6.38655i | 1.66281 | + | 0.680809i | ||||
\(89\) | 4.86037 | + | 7.27406i | 0.515199 | + | 0.771049i | 0.994290 | − | 0.106716i | \(-0.0340336\pi\) |
−0.479091 | + | 0.877765i | \(0.659034\pi\) | |||||||
\(90\) | −4.06595 | − | 0.529659i | −0.428589 | − | 0.0558310i | ||||
\(91\) | 7.03168 | − | 13.1553i | 0.737120 | − | 1.37905i | ||||
\(92\) | −17.9424 | − | 4.75531i | −1.87063 | − | 0.495775i | ||||
\(93\) | −1.25058 | + | 0.123171i | −0.129679 | + | 0.0127723i | ||||
\(94\) | −3.19243 | + | 13.7764i | −0.329274 | + | 1.42093i | ||||
\(95\) | −0.0990595 | + | 0.0990595i | −0.0101633 | + | 0.0101633i | ||||
\(96\) | 1.43118 | + | 1.08278i | 0.146069 | + | 0.110510i | ||||
\(97\) | 2.03675 | + | 2.03675i | 0.206800 | + | 0.206800i | 0.802906 | − | 0.596106i | \(-0.203286\pi\) |
−0.596106 | + | 0.802906i | \(0.703286\pi\) | |||||||
\(98\) | 0.966363 | − | 0.602750i | 0.0976174 | − | 0.0608870i | ||||
\(99\) | −1.69354 | − | 17.1948i | −0.170207 | − | 1.72814i | ||||
\(100\) | −1.59002 | − | 1.21320i | −0.159002 | − | 0.121320i | ||||
\(101\) | 0.561481 | + | 0.300118i | 0.0558694 | + | 0.0298628i | 0.499095 | − | 0.866547i | \(-0.333666\pi\) |
−0.443225 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(102\) | −0.310280 | + | 0.238759i | −0.0307223 | + | 0.0236406i | ||||
\(103\) | 2.67306 | − | 1.78608i | 0.263384 | − | 0.175988i | −0.416865 | − | 0.908968i | \(-0.636871\pi\) |
0.680250 | + | 0.732980i | \(0.261871\pi\) | |||||||
\(104\) | 8.33858 | − | 12.5907i | 0.817665 | − | 1.23462i | ||||
\(105\) | 0.492418 | − | 0.736956i | 0.0480551 | − | 0.0719195i | ||||
\(106\) | 3.28229 | + | 2.87059i | 0.318804 | + | 0.278817i | ||||
\(107\) | 2.95218 | − | 2.42279i | 0.285398 | − | 0.234220i | −0.480791 | − | 0.876835i | \(-0.659651\pi\) |
0.766189 | + | 0.642615i | \(0.222151\pi\) | |||||||
\(108\) | 0.599673 | − | 3.69477i | 0.0577036 | − | 0.355529i | ||||
\(109\) | −16.1110 | + | 8.61152i | −1.54316 | + | 0.824834i | −0.999892 | − | 0.0147267i | \(-0.995312\pi\) |
−0.543265 | + | 0.839561i | \(0.682812\pi\) | |||||||
\(110\) | 3.46769 | − | 7.68117i | 0.330631 | − | 0.732371i | ||||
\(111\) | 0.440917 | + | 1.06447i | 0.0418500 | + | 0.101035i | ||||
\(112\) | 9.99567 | − | 4.99721i | 0.944502 | − | 0.472192i | ||||
\(113\) | 1.64369 | − | 3.96821i | 0.154625 | − | 0.373298i | −0.827516 | − | 0.561442i | \(-0.810247\pi\) |
0.982142 | + | 0.188143i | \(0.0602469\pi\) | |||||||
\(114\) | −0.0430282 | − | 0.0458155i | −0.00402996 | − | 0.00429102i | ||||
\(115\) | −2.69412 | + | 8.88131i | −0.251228 | + | 0.828186i | ||||
\(116\) | −14.1082 | + | 6.43875i | −1.30992 | + | 0.597823i | ||||
\(117\) | −15.4057 | − | 1.51733i | −1.42426 | − | 0.140277i | ||||
\(118\) | 16.7868 | + | 5.67287i | 1.54535 | + | 0.522230i | ||||
\(119\) | 0.475620 | + | 2.39110i | 0.0436000 | + | 0.219192i | ||||
\(120\) | 0.566410 | − | 0.695953i | 0.0517059 | − | 0.0635315i | ||||
\(121\) | 24.0416 | + | 4.78218i | 2.18560 | + | 0.434744i | ||||
\(122\) | −20.3992 | + | 5.49573i | −1.84685 | + | 0.497560i | ||||
\(123\) | −0.215164 | + | 0.0652694i | −0.0194007 | + | 0.00588515i | ||||
\(124\) | −3.48447 | + | 7.11460i | −0.312915 | + | 0.638910i | ||||
\(125\) | −0.634393 | + | 0.773010i | −0.0567419 | + | 0.0691402i | ||||
\(126\) | −9.32061 | − | 6.65986i | −0.830346 | − | 0.593307i | ||||
\(127\) | 3.05181 | 0.270805 | 0.135402 | − | 0.990791i | \(-0.456767\pi\) | ||||
0.135402 | + | 0.990791i | \(0.456767\pi\) | |||||||
\(128\) | 10.5501 | − | 4.08604i | 0.932505 | − | 0.361158i | ||||
\(129\) | −1.14010 | −0.100380 | ||||||||
\(130\) | −6.14360 | − | 4.38979i | −0.538830 | − | 0.385010i | ||||
\(131\) | 0.945772 | − | 1.15243i | 0.0826325 | − | 0.100688i | −0.730053 | − | 0.683390i | \(-0.760505\pi\) |
0.812686 | + | 0.582702i | \(0.198005\pi\) | |||||||
\(132\) | 3.39573 | + | 1.66310i | 0.295560 | + | 0.144754i | ||||
\(133\) | −0.374535 | + | 0.113614i | −0.0324763 | + | 0.00985158i | ||||
\(134\) | 16.8840 | − | 4.54872i | 1.45856 | − | 0.392949i | ||||
\(135\) | −1.83560 | − | 0.365123i | −0.157983 | − | 0.0314248i | ||||
\(136\) | 0.251958 | + | 2.45527i | 0.0216052 | + | 0.210537i | ||||
\(137\) | 0.948085 | + | 4.76634i | 0.0810004 | + | 0.407216i | 0.999918 | + | 0.0127680i | \(0.00406429\pi\) |
−0.918918 | + | 0.394448i | \(0.870936\pi\) | |||||||
\(138\) | −3.94480 | − | 1.33309i | −0.335803 | − | 0.113480i | ||||
\(139\) | −12.0022 | − | 1.18211i | −1.01801 | − | 0.100266i | −0.424781 | − | 0.905296i | \(-0.639649\pi\) |
−0.593234 | + | 0.805030i | \(0.702149\pi\) | |||||||
\(140\) | −2.31990 | − | 5.08325i | −0.196068 | − | 0.429613i | ||||
\(141\) | −0.920881 | + | 3.03574i | −0.0775522 | + | 0.255655i | ||||
\(142\) | −6.85493 | − | 7.29898i | −0.575253 | − | 0.612517i | ||||
\(143\) | 12.1761 | − | 29.3956i | 1.01821 | − | 2.45819i | ||||
\(144\) | −8.76093 | − | 7.59908i | −0.730078 | − | 0.633257i | ||||
\(145\) | 2.96734 | + | 7.16379i | 0.246424 | + | 0.594920i | ||||
\(146\) | 1.69408 | − | 3.75249i | 0.140203 | − | 0.310558i | ||||
\(147\) | 0.225326 | − | 0.120439i | 0.0185846 | − | 0.00993367i | ||||
\(148\) | 7.16972 | + | 1.16367i | 0.589347 | + | 0.0956530i | ||||
\(149\) | 9.71154 | − | 7.97005i | 0.795600 | − | 0.652932i | −0.146144 | − | 0.989263i | \(-0.546686\pi\) |
0.941744 | + | 0.336331i | \(0.109186\pi\) | |||||||
\(150\) | −0.337721 | − | 0.295360i | −0.0275748 | − | 0.0241160i | ||||
\(151\) | 10.8975 | − | 16.3093i | 0.886826 | − | 1.32723i | −0.0575436 | − | 0.998343i | \(-0.518327\pi\) |
0.944370 | − | 0.328886i | \(-0.106673\pi\) | |||||||
\(152\) | −0.388305 | + | 0.0788897i | −0.0314957 | + | 0.00639880i | ||||
\(153\) | 2.10366 | − | 1.40562i | 0.170071 | − | 0.113638i | ||||
\(154\) | 18.6601 | − | 14.3588i | 1.50368 | − | 1.15707i | ||||
\(155\) | 3.49332 | + | 1.86722i | 0.280590 | + | 0.149979i | ||||
\(156\) | 2.05497 | − | 2.69325i | 0.164529 | − | 0.215633i | ||||
\(157\) | 1.71272 | + | 17.3896i | 0.136690 | + | 1.38784i | 0.781695 | + | 0.623661i | \(0.214355\pi\) |
−0.645005 | + | 0.764178i | \(0.723145\pi\) | |||||||
\(158\) | −14.6957 | + | 9.16618i | −1.16913 | + | 0.729222i | ||||
\(159\) | 0.691676 | + | 0.691676i | 0.0548535 | + | 0.0548535i | ||||
\(160\) | −1.85478 | − | 5.34414i | −0.146633 | − | 0.422491i | ||||
\(161\) | −18.3347 | + | 18.3347i | −1.44498 | + | 1.44498i | ||||
\(162\) | −2.58737 | + | 11.1654i | −0.203283 | + | 0.877234i | ||||
\(163\) | −19.3588 | + | 1.90668i | −1.51630 | + | 0.149343i | −0.821645 | − | 0.569999i | \(-0.806943\pi\) |
−0.694656 | + | 0.719342i | \(0.744443\pi\) | |||||||
\(164\) | −0.363139 | + | 1.37017i | −0.0283564 | + | 0.106993i | ||||
\(165\) | 0.891204 | − | 1.66733i | 0.0693801 | − | 0.129801i | ||||
\(166\) | −6.88609 | − | 0.897030i | −0.534464 | − | 0.0696230i | ||||
\(167\) | 2.74417 | + | 4.10694i | 0.212350 | + | 0.317805i | 0.922320 | − | 0.386428i | \(-0.126291\pi\) |
−0.709969 | + | 0.704233i | \(0.751291\pi\) | |||||||
\(168\) | 2.31215 | − | 0.968813i | 0.178386 | − | 0.0747455i | ||||
\(169\) | −12.8937 | − | 8.61526i | −0.991819 | − | 0.662712i | ||||
\(170\) | 1.23133 | − | 0.0823900i | 0.0944384 | − | 0.00631903i | ||||
\(171\) | 0.257674 | + | 0.313977i | 0.0197048 | + | 0.0240104i | ||||
\(172\) | −3.77882 | + | 6.11391i | −0.288132 | + | 0.466181i | ||||
\(173\) | 9.09997 | + | 17.0249i | 0.691858 | + | 1.29438i | 0.945039 | + | 0.326957i | \(0.106023\pi\) |
−0.253181 | + | 0.967419i | \(0.581477\pi\) | |||||||
\(174\) | −3.25425 | + | 1.22988i | −0.246704 | + | 0.0932366i | ||||
\(175\) | −2.58114 | + | 1.06914i | −0.195116 | + | 0.0808196i | ||||
\(176\) | 20.1735 | − | 12.6977i | 1.52064 | − | 0.957122i | ||||
\(177\) | 3.67240 | + | 1.52116i | 0.276035 | + | 0.114337i | ||||
\(178\) | 12.3661 | + | 0.387961i | 0.926877 | + | 0.0290789i | ||||
\(179\) | −3.26098 | − | 0.989207i | −0.243737 | − | 0.0739368i | 0.166053 | − | 0.986117i | \(-0.446898\pi\) |
−0.409789 | + | 0.912180i | \(0.634398\pi\) | |||||||
\(180\) | −3.95241 | + | 4.24305i | −0.294595 | + | 0.316258i | ||||
\(181\) | 1.18584 | − | 12.0401i | 0.0881430 | − | 0.894931i | −0.844842 | − | 0.535016i | \(-0.820306\pi\) |
0.932985 | − | 0.359915i | \(-0.117194\pi\) | |||||||
\(182\) | −9.35601 | − | 18.9071i | −0.693514 | − | 1.40149i | ||||
\(183\) | −4.64821 | + | 0.924586i | −0.343605 | + | 0.0683473i | ||||
\(184\) | −20.2237 | + | 16.7359i | −1.49091 | + | 1.23379i | ||||
\(185\) | 0.708523 | − | 3.56199i | 0.0520916 | − | 0.261882i | ||||
\(186\) | −0.886474 | + | 1.54026i | −0.0649995 | + | 0.112937i | ||||
\(187\) | 1.50954 | + | 4.97628i | 0.110388 | + | 0.363901i | ||||
\(188\) | 13.2272 | + | 15.0001i | 0.964695 | + | 1.09400i | ||||
\(189\) | −4.04189 | − | 3.31710i | −0.294005 | − | 0.241283i | ||||
\(190\) | 0.0325389 | + | 0.195429i | 0.00236062 | + | 0.0141779i | ||||
\(191\) | − | 8.52504i | − | 0.616850i | −0.951249 | − | 0.308425i | \(-0.900198\pi\) | ||
0.951249 | − | 0.308425i | \(-0.0998020\pi\) | |||||||
\(192\) | 2.42260 | − | 0.756563i | 0.174836 | − | 0.0546002i | ||||
\(193\) | − | 0.273564i | − | 0.0196916i | −0.999952 | − | 0.00984579i | \(-0.996866\pi\) | ||
0.999952 | − | 0.00984579i | \(-0.00313406\pi\) | |||||||
\(194\) | 4.01817 | − | 0.669027i | 0.288488 | − | 0.0480334i | ||||
\(195\) | −1.30936 | − | 1.07457i | −0.0937656 | − | 0.0769514i | ||||
\(196\) | 0.100965 | − | 1.60753i | 0.00721180 | − | 0.114823i | ||||
\(197\) | −0.436241 | − | 1.43809i | −0.0310809 | − | 0.102460i | 0.940028 | − | 0.341098i | \(-0.110799\pi\) |
−0.971108 | + | 0.238638i | \(0.923299\pi\) | |||||||
\(198\) | −21.1777 | − | 12.1885i | −1.50504 | − | 0.866201i | ||||
\(199\) | 0.582858 | − | 2.93022i | 0.0413177 | − | 0.207718i | −0.954612 | − | 0.297852i | \(-0.903730\pi\) |
0.995930 | + | 0.0901344i | \(0.0287297\pi\) | |||||||
\(200\) | −2.70326 | + | 0.832103i | −0.191149 | + | 0.0588386i | ||||
\(201\) | 3.84724 | − | 0.765263i | 0.271363 | − | 0.0539775i | ||||
\(202\) | 0.806973 | − | 0.399322i | 0.0567784 | − | 0.0280962i | ||||
\(203\) | −2.12337 | + | 21.5589i | −0.149031 | + | 1.51314i | ||||
\(204\) | 0.0196234 | + | 0.553330i | 0.00137391 | + | 0.0387409i | ||||
\(205\) | 0.678221 | + | 0.205736i | 0.0473690 | + | 0.0143692i | ||||
\(206\) | 0.142567 | − | 4.54426i | 0.00993314 | − | 0.316614i | ||||
\(207\) | 24.8604 | + | 10.2975i | 1.72792 | + | 0.715728i | ||||
\(208\) | −7.63173 | − | 19.9467i | −0.529165 | − | 1.38305i | ||||
\(209\) | −0.771291 | + | 0.319479i | −0.0533513 | + | 0.0220988i | ||||
\(210\) | −0.443129 | − | 1.17252i | −0.0305788 | − | 0.0809114i | ||||
\(211\) | 4.64823 | + | 8.69622i | 0.319997 | + | 0.598673i | 0.989566 | − | 0.144077i | \(-0.0460213\pi\) |
−0.669569 | + | 0.742750i | \(0.733521\pi\) | |||||||
\(212\) | 6.00171 | − | 1.41665i | 0.412199 | − | 0.0972962i | ||||
\(213\) | −1.42501 | − | 1.73638i | −0.0976400 | − | 0.118975i | ||||
\(214\) | −0.360582 | − | 5.38893i | −0.0246489 | − | 0.368379i | ||||
\(215\) | 2.98807 | + | 1.99656i | 0.203785 | + | 0.136165i | ||||
\(216\) | −3.75838 | − | 3.72779i | −0.255726 | − | 0.253644i | ||||
\(217\) | 6.14814 | + | 9.20134i | 0.417363 | + | 0.624627i | ||||
\(218\) | −3.33725 | + | 25.6185i | −0.226027 | + | 1.73511i | ||||
\(219\) | 0.435381 | − | 0.814540i | 0.0294203 | − | 0.0550415i | ||||
\(220\) | −5.98735 | − | 10.3054i | −0.403667 | − | 0.694793i | ||||
\(221\) | 4.63669 | − | 0.456674i | 0.311898 | − | 0.0307192i | ||||
\(222\) | 1.58735 | + | 0.367840i | 0.106536 | + | 0.0246878i | ||||
\(223\) | −4.54980 | + | 4.54980i | −0.304677 | + | 0.304677i | −0.842841 | − | 0.538163i | \(-0.819118\pi\) |
0.538163 | + | 0.842841i | \(0.319118\pi\) | |||||||
\(224\) | 2.46816 | − | 15.6102i | 0.164911 | − | 1.04300i | ||||
\(225\) | 2.05015 | + | 2.05015i | 0.136677 | + | 0.136677i | ||||
\(226\) | −3.21466 | − | 5.15392i | −0.213836 | − | 0.342834i | ||||
\(227\) | −0.325666 | − | 3.30654i | −0.0216152 | − | 0.219463i | −0.999924 | − | 0.0123118i | \(-0.996081\pi\) |
0.978309 | − | 0.207151i | \(-0.0664191\pi\) | |||||||
\(228\) | −0.0880951 | + | 0.0118422i | −0.00583424 | + | 0.000784268i | ||||
\(229\) | −18.3910 | − | 9.83022i | −1.21531 | − | 0.649599i | −0.266014 | − | 0.963969i | \(-0.585707\pi\) |
−0.949300 | + | 0.314370i | \(0.898207\pi\) | |||||||
\(230\) | 8.00432 | + | 10.4021i | 0.527789 | + | 0.685891i | ||||
\(231\) | 4.39170 | − | 2.93444i | 0.288953 | − | 0.193072i | ||||
\(232\) | −4.19073 | + | 21.5276i | −0.275135 | + | 1.41336i | ||||
\(233\) | 8.08344 | − | 12.0977i | 0.529564 | − | 0.792548i | −0.466182 | − | 0.884689i | \(-0.654371\pi\) |
0.995746 | + | 0.0921405i | \(0.0293709\pi\) | |||||||
\(234\) | −14.4122 | + | 16.4792i | −0.942155 | + | 1.07728i | ||||
\(235\) | 7.72975 | − | 6.34365i | 0.504234 | − | 0.413814i | ||||
\(236\) | 20.3294 | − | 14.6518i | 1.32333 | − | 0.953752i | ||||
\(237\) | −3.42660 | + | 1.83155i | −0.222581 | + | 0.118972i | ||||
\(238\) | 3.14239 | + | 1.41864i | 0.203691 | + | 0.0919570i | ||||
\(239\) | −6.37733 | − | 15.3962i | −0.412515 | − | 0.995900i | −0.984460 | − | 0.175608i | \(-0.943811\pi\) |
0.571945 | − | 0.820292i | \(-0.306189\pi\) | |||||||
\(240\) | −0.335113 | − | 1.22394i | −0.0216315 | − | 0.0790053i | ||||
\(241\) | 6.42221 | − | 15.5046i | 0.413691 | − | 0.998738i | −0.570447 | − | 0.821334i | \(-0.693230\pi\) |
0.984138 | − | 0.177404i | \(-0.0567698\pi\) | |||||||
\(242\) | 25.2692 | − | 23.7319i | 1.62437 | − | 1.52555i | ||||
\(243\) | −2.37620 | + | 7.83328i | −0.152433 | + | 0.502505i | ||||
\(244\) | −10.4481 | + | 27.9910i | −0.668870 | + | 1.79194i | ||||
\(245\) | −0.801468 | − | 0.0789378i | −0.0512039 | − | 0.00504315i | ||||
\(246\) | −0.101801 | + | 0.301244i | −0.00649061 | + | 0.0192066i | ||||
\(247\) | 0.145923 | + | 0.733604i | 0.00928485 | + | 0.0466781i | ||||
\(248\) | 5.32162 | + | 9.85893i | 0.337923 | + | 0.626043i | ||||
\(249\) | −1.52786 | − | 0.303911i | −0.0968244 | − | 0.0192596i | ||||
\(250\) | 0.367886 | + | 1.36553i | 0.0232671 | + | 0.0863634i | ||||
\(251\) | −5.00188 | + | 1.51730i | −0.315716 | + | 0.0957714i | −0.444166 | − | 0.895945i | \(-0.646500\pi\) |
0.128450 | + | 0.991716i | \(0.459000\pi\) | |||||||
\(252\) | −15.3265 | + | 5.24924i | −0.965476 | + | 0.330671i | ||||
\(253\) | −35.0867 | + | 42.7532i | −2.20588 | + | 2.68787i | ||||
\(254\) | 2.50914 | − | 3.51160i | 0.157438 | − | 0.220337i | ||||
\(255\) | 0.276839 | 0.0173363 | ||||||||
\(256\) | 3.97244 | − | 15.4990i | 0.248278 | − | 0.968689i | ||||
\(257\) | 3.09686 | 0.193177 | 0.0965885 | − | 0.995324i | \(-0.469207\pi\) | ||||
0.0965885 | + | 0.995324i | \(0.469207\pi\) | |||||||
\(258\) | −0.937370 | + | 1.31187i | −0.0583581 | + | 0.0816734i | ||||
\(259\) | 6.43684 | − | 7.84332i | 0.399966 | − | 0.487360i | ||||
\(260\) | −10.1023 | + | 3.45999i | −0.626519 | + | 0.214580i | ||||
\(261\) | 21.5136 | − | 6.52609i | 1.33166 | − | 0.403955i | ||||
\(262\) | −0.548455 | − | 2.03577i | −0.0338837 | − | 0.125770i | ||||
\(263\) | −0.677926 | − | 0.134848i | −0.0418027 | − | 0.00831507i | 0.174145 | − | 0.984720i | \(-0.444284\pi\) |
−0.215947 | + | 0.976405i | \(0.569284\pi\) | |||||||
\(264\) | 4.70557 | − | 2.53996i | 0.289608 | − | 0.156323i | ||||
\(265\) | −0.601526 | − | 3.02408i | −0.0369515 | − | 0.185768i | ||||
\(266\) | −0.177205 | + | 0.524373i | −0.0108651 | + | 0.0321514i | ||||
\(267\) | 2.76206 | + | 0.272039i | 0.169035 | + | 0.0166485i | ||||
\(268\) | 8.64769 | − | 23.1676i | 0.528242 | − | 1.41519i | ||||
\(269\) | 0.697780 | − | 2.30027i | 0.0425444 | − | 0.140250i | −0.933095 | − | 0.359629i | \(-0.882903\pi\) |
0.975640 | + | 0.219379i | \(0.0704032\pi\) | |||||||
\(270\) | −1.92933 | + | 1.81195i | −0.117415 | + | 0.110272i | ||||
\(271\) | −9.52562 | + | 22.9969i | −0.578640 | + | 1.39696i | 0.315393 | + | 0.948961i | \(0.397864\pi\) |
−0.894034 | + | 0.448000i | \(0.852136\pi\) | |||||||
\(272\) | 3.03233 | + | 1.72876i | 0.183862 | + | 0.104821i | ||||
\(273\) | −1.81097 | − | 4.37207i | −0.109605 | − | 0.264609i | ||||
\(274\) | 6.26394 | + | 2.82788i | 0.378418 | + | 0.170838i | ||||
\(275\) | −5.25559 | + | 2.80917i | −0.316924 | + | 0.169399i | ||||
\(276\) | −4.77727 | + | 3.44308i | −0.287558 | + | 0.207249i | ||||
\(277\) | −19.0204 | + | 15.6096i | −1.14282 | + | 0.937891i | −0.998665 | − | 0.0516639i | \(-0.983548\pi\) |
−0.144159 | + | 0.989555i | \(0.546048\pi\) | |||||||
\(278\) | −11.2282 | + | 12.8386i | −0.673423 | + | 0.770005i | ||||
\(279\) | 6.38041 | − | 9.54896i | 0.381985 | − | 0.571681i | ||||
\(280\) | −7.75647 | − | 1.50993i | −0.463538 | − | 0.0902358i | ||||
\(281\) | 0.880809 | − | 0.588538i | 0.0525447 | − | 0.0351092i | −0.529020 | − | 0.848609i | \(-0.677441\pi\) |
0.581565 | + | 0.813500i | \(0.302441\pi\) | |||||||
\(282\) | 2.73597 | + | 3.55555i | 0.162925 | + | 0.211730i | ||||
\(283\) | 10.5362 | + | 5.63172i | 0.626313 | + | 0.334771i | 0.753834 | − | 0.657065i | \(-0.228202\pi\) |
−0.127521 | + | 0.991836i | \(0.540702\pi\) | |||||||
\(284\) | −14.0346 | + | 1.88661i | −0.832803 | + | 0.111950i | ||||
\(285\) | 0.00435625 | + | 0.0442297i | 0.000258042 | + | 0.00261994i | ||||
\(286\) | −23.8135 | − | 38.1791i | −1.40812 | − | 2.25758i | ||||
\(287\) | 1.40013 | + | 1.40013i | 0.0826469 | + | 0.0826469i | ||||
\(288\) | −15.9470 | + | 3.83303i | −0.939688 | + | 0.225863i | ||||
\(289\) | 11.4824 | − | 11.4824i | 0.675434 | − | 0.675434i | ||||
\(290\) | 10.6828 | + | 2.47554i | 0.627314 | + | 0.145368i | ||||
\(291\) | 0.909399 | − | 0.0895680i | 0.0533099 | − | 0.00525057i | ||||
\(292\) | −2.92501 | − | 5.03453i | −0.171173 | − | 0.294624i | ||||
\(293\) | 11.1872 | − | 20.9298i | 0.653562 | − | 1.22273i | −0.308843 | − | 0.951113i | \(-0.599942\pi\) |
0.962406 | − | 0.271616i | \(-0.0875582\pi\) | |||||||
\(294\) | 0.0466742 | − | 0.358297i | 0.00272210 | − | 0.0208963i | ||||
\(295\) | −6.96105 | − | 10.4179i | −0.405288 | − | 0.606556i | ||||
\(296\) | 7.23379 | − | 7.29316i | 0.420456 | − | 0.423906i | ||||
\(297\) | −9.27345 | − | 6.19632i | −0.538100 | − | 0.359547i | ||||
\(298\) | −1.18618 | − | 17.7275i | −0.0687133 | − | 1.02693i | ||||
\(299\) | 31.4360 | + | 38.3049i | 1.81799 | + | 2.21523i | ||||
\(300\) | −0.617526 | + | 0.145762i | −0.0356529 | + | 0.00841557i | ||||
\(301\) | 4.73290 | + | 8.85463i | 0.272800 | + | 0.510372i | ||||
\(302\) | −9.80669 | − | 25.9485i | −0.564312 | − | 1.49317i | ||||
\(303\) | 0.186603 | − | 0.0772937i | 0.0107201 | − | 0.00444040i | ||||
\(304\) | −0.228482 | + | 0.511669i | −0.0131044 | + | 0.0293462i | ||||
\(305\) | 13.8015 | + | 5.71679i | 0.790274 | + | 0.327342i | ||||
\(306\) | 0.112199 | − | 3.57627i | 0.00641396 | − | 0.204442i | ||||
\(307\) | −17.3752 | − | 5.27071i | −0.991656 | − | 0.300815i | −0.247548 | − | 0.968876i | \(-0.579625\pi\) |
−0.744107 | + | 0.668060i | \(0.767125\pi\) | |||||||
\(308\) | −1.18014 | − | 33.2770i | −0.0672448 | − | 1.89614i | ||||
\(309\) | 0.0999685 | − | 1.01500i | 0.00568701 | − | 0.0577412i | ||||
\(310\) | 5.02067 | − | 2.48443i | 0.285155 | − | 0.141106i | ||||
\(311\) | −6.52410 | + | 1.29772i | −0.369948 | + | 0.0735872i | −0.376563 | − | 0.926391i | \(-0.622894\pi\) |
0.00661541 | + | 0.999978i | \(0.497894\pi\) | |||||||
\(312\) | −1.40946 | − | 4.57892i | −0.0797949 | − | 0.259230i | ||||
\(313\) | −2.91544 | + | 14.6569i | −0.164790 | + | 0.828456i | 0.806624 | + | 0.591065i | \(0.201292\pi\) |
−0.971414 | + | 0.237391i | \(0.923708\pi\) | |||||||
\(314\) | 21.4177 | + | 12.3266i | 1.20867 | + | 0.695631i | ||||
\(315\) | 2.35137 | + | 7.75144i | 0.132485 | + | 0.436744i | ||||
\(316\) | −1.53541 | + | 24.4461i | −0.0863733 | + | 1.37520i | ||||
\(317\) | 13.8748 | + | 11.3867i | 0.779285 | + | 0.639543i | 0.937549 | − | 0.347854i | \(-0.113090\pi\) |
−0.158263 | + | 0.987397i | \(0.550590\pi\) | |||||||
\(318\) | 1.36457 | − | 0.227201i | 0.0765211 | − | 0.0127408i | ||||
\(319\) | 46.2082i | 2.58716i | ||||||||
\(320\) | −7.67425 | − | 2.25963i | −0.429003 | − | 0.126317i | ||||
\(321\) | − | 1.21159i | − | 0.0676245i | ||||||
\(322\) | 6.02255 | + | 36.1714i | 0.335624 | + | 2.01575i | ||||
\(323\) | −0.0944985 | − | 0.0775529i | −0.00525804 | − | 0.00431516i | ||||
\(324\) | 10.7202 | + | 12.1571i | 0.595569 | + | 0.675396i | ||||
\(325\) | 1.54989 | + | 5.10930i | 0.0859723 | + | 0.283413i | ||||
\(326\) | −13.7225 | + | 23.8431i | −0.760021 | + | 1.32055i | ||||
\(327\) | −1.13065 | + | 5.68416i | −0.0625251 | + | 0.314335i | ||||
\(328\) | 1.27804 | + | 1.54438i | 0.0705678 | + | 0.0852742i | ||||
\(329\) | 27.4000 | − | 5.45020i | 1.51061 | − | 0.300479i | ||||
\(330\) | −1.18579 | − | 2.39632i | −0.0652758 | − | 0.131913i | ||||
\(331\) | 0.0853382 | − | 0.866453i | 0.00469061 | − | 0.0476246i | −0.992554 | − | 0.121801i | \(-0.961133\pi\) |
0.997245 | + | 0.0741768i | \(0.0236329\pi\) | |||||||
\(332\) | −6.69379 | + | 7.18603i | −0.367369 | + | 0.394384i | ||||
\(333\) | −10.0764 | − | 3.05663i | −0.552182 | − | 0.167503i | ||||
\(334\) | 6.98190 | + | 0.219043i | 0.382033 | + | 0.0119855i | ||||
\(335\) | −11.4233 | − | 4.73168i | −0.624121 | − | 0.258519i | ||||
\(336\) | 0.786233 | − | 3.45704i | 0.0428925 | − | 0.188597i | ||||
\(337\) | −3.07178 | + | 1.27237i | −0.167330 | + | 0.0693105i | −0.464776 | − | 0.885428i | \(-0.653865\pi\) |
0.297446 | + | 0.954739i | \(0.403865\pi\) | |||||||
\(338\) | −20.5142 | + | 7.75290i | −1.11582 | + | 0.421702i | ||||
\(339\) | −0.642341 | − | 1.20173i | −0.0348872 | − | 0.0652693i | ||||
\(340\) | 0.917570 | − | 1.48458i | 0.0497622 | − | 0.0805125i | ||||
\(341\) | 14.9747 | + | 18.2467i | 0.810926 | + | 0.988116i | ||||
\(342\) | 0.573136 | − | 0.0383494i | 0.0309916 | − | 0.00207370i | ||||
\(343\) | 14.3900 | + | 9.61506i | 0.776985 | + | 0.519165i | ||||
\(344\) | 3.92816 | + | 9.37487i | 0.211792 | + | 0.505459i | ||||
\(345\) | 1.63580 | + | 2.44815i | 0.0880685 | + | 0.131804i | ||||
\(346\) | 27.0716 | + | 3.52654i | 1.45538 | + | 0.189588i | ||||
\(347\) | −13.5062 | + | 25.2683i | −0.725051 | + | 1.35648i | 0.201193 | + | 0.979552i | \(0.435518\pi\) |
−0.926244 | + | 0.376924i | \(0.876982\pi\) | |||||||
\(348\) | −1.26041 | + | 4.75571i | −0.0675652 | + | 0.254933i | ||||
\(349\) | 16.7181 | − | 1.64659i | 0.894900 | − | 0.0881400i | 0.359899 | − | 0.932991i | \(-0.382811\pi\) |
0.535001 | + | 0.844851i | \(0.320311\pi\) | |||||||
\(350\) | −0.891944 | + | 3.84904i | −0.0476764 | + | 0.205740i | ||||
\(351\) | −7.06585 | + | 7.06585i | −0.377147 | + | 0.377147i | ||||
\(352\) | 1.97562 | − | 33.6527i | 0.105301 | − | 1.79369i | ||||
\(353\) | 22.0343 | + | 22.0343i | 1.17277 | + | 1.17277i | 0.981547 | + | 0.191220i | \(0.0612445\pi\) |
0.191220 | + | 0.981547i | \(0.438756\pi\) | |||||||
\(354\) | 4.76971 | − | 2.97502i | 0.253507 | − | 0.158120i | ||||
\(355\) | 0.694004 | + | 7.04634i | 0.0368339 | + | 0.373981i | ||||
\(356\) | 10.6136 | − | 13.9102i | 0.562518 | − | 0.737238i | ||||
\(357\) | 0.682108 | + | 0.364594i | 0.0361010 | + | 0.0192964i | ||||
\(358\) | −3.81935 | + | 2.93897i | −0.201859 | + | 0.155329i | ||||
\(359\) | −2.17658 | + | 1.45435i | −0.114876 | + | 0.0767575i | −0.611681 | − | 0.791105i | \(-0.709506\pi\) |
0.496805 | + | 0.867862i | \(0.334506\pi\) | |||||||
\(360\) | 1.63271 | + | 8.03643i | 0.0860516 | + | 0.423557i | ||||
\(361\) | −10.5449 | + | 15.7816i | −0.554996 | + | 0.830611i | ||||
\(362\) | −12.8790 | − | 11.2636i | −0.676907 | − | 0.592002i | ||||
\(363\) | 6.01138 | − | 4.93342i | 0.315516 | − | 0.258937i | ||||
\(364\) | −29.4480 | − | 4.77951i | −1.54350 | − | 0.250514i | ||||
\(365\) | −2.56752 | + | 1.37237i | −0.134390 | + | 0.0718330i | ||||
\(366\) | −2.75778 | + | 6.10868i | −0.144152 | + | 0.319306i | ||||
\(367\) | −1.04716 | − | 2.52806i | −0.0546612 | − | 0.131964i | 0.894190 | − | 0.447688i | \(-0.147753\pi\) |
−0.948851 | + | 0.315724i | \(0.897753\pi\) | |||||||
\(368\) | 2.62982 | + | 37.0305i | 0.137089 | + | 1.93035i | ||||
\(369\) | 0.786371 | − | 1.89847i | 0.0409368 | − | 0.0988303i | ||||
\(370\) | −3.51610 | − | 3.74387i | −0.182793 | − | 0.194634i | ||||
\(371\) | 2.50057 | − | 8.24327i | 0.129823 | − | 0.427969i | ||||
\(372\) | 1.04347 | + | 2.28640i | 0.0541016 | + | 0.118545i | ||||
\(373\) | −26.1290 | − | 2.57348i | −1.35291 | − | 0.133250i | −0.604562 | − | 0.796558i | \(-0.706652\pi\) |
−0.748346 | + | 0.663308i | \(0.769152\pi\) | |||||||
\(374\) | 6.96712 | + | 2.35444i | 0.360261 | + | 0.121745i | ||||
\(375\) | 0.0618920 | + | 0.311152i | 0.00319609 | + | 0.0160678i | ||||
\(376\) | 28.1352 | − | 2.88722i | 1.45096 | − | 0.148897i | ||||
\(377\) | 40.6048 | + | 8.07680i | 2.09126 | + | 0.415977i | ||||
\(378\) | −7.14002 | + | 1.92359i | −0.367243 | + | 0.0989388i | ||||
\(379\) | −18.6710 | + | 5.66380i | −0.959067 | + | 0.290930i | −0.730741 | − | 0.682655i | \(-0.760825\pi\) |
−0.228326 | + | 0.973585i | \(0.573325\pi\) | |||||||
\(380\) | 0.251625 | + | 0.123237i | 0.0129081 | + | 0.00632190i | ||||
\(381\) | 0.614208 | − | 0.748415i | 0.0314669 | − | 0.0383425i | ||||
\(382\) | −9.80942 | − | 7.00913i | −0.501894 | − | 0.358618i | ||||
\(383\) | −27.2804 | −1.39396 | −0.696980 | − | 0.717090i | \(-0.745474\pi\) | ||||
−0.696980 | + | 0.717090i | \(0.745474\pi\) | |||||||
\(384\) | 1.12127 | − | 3.40962i | 0.0572194 | − | 0.173996i | ||||
\(385\) | −16.6490 | −0.848510 | ||||||||
\(386\) | −0.314779 | − | 0.224919i | −0.0160218 | − | 0.0114481i | ||||
\(387\) | 6.61004 | − | 8.05436i | 0.336007 | − | 0.409426i | ||||
\(388\) | 2.53384 | − | 5.17361i | 0.128636 | − | 0.262650i | ||||
\(389\) | −27.3640 | + | 8.30078i | −1.38741 | + | 0.420866i | −0.893663 | − | 0.448740i | \(-0.851873\pi\) |
−0.493747 | + | 0.869606i | \(0.664373\pi\) | |||||||
\(390\) | −2.31300 | + | 0.623144i | −0.117123 | + | 0.0315541i | ||||
\(391\) | −7.94318 | − | 1.58000i | −0.401704 | − | 0.0799039i | ||||
\(392\) | −1.76670 | − | 1.43785i | −0.0892320 | − | 0.0726226i | ||||
\(393\) | −0.0922705 | − | 0.463875i | −0.00465443 | − | 0.0233994i | ||||
\(394\) | −2.01343 | − | 0.680409i | −0.101435 | − | 0.0342785i | ||||
\(395\) | 12.1881 | + | 1.20043i | 0.613252 | + | 0.0604001i | ||||
\(396\) | −31.4368 | + | 14.3472i | −1.57976 | + | 0.720973i | ||||
\(397\) | 6.50476 | − | 21.4433i | 0.326465 | − | 1.07621i | −0.628082 | − | 0.778147i | \(-0.716160\pi\) |
0.954546 | − | 0.298062i | \(-0.0963403\pi\) | |||||||
\(398\) | −2.89248 | − | 3.07985i | −0.144987 | − | 0.154379i | ||||
\(399\) | −0.0475167 | + | 0.114715i | −0.00237881 | + | 0.00574295i | ||||
\(400\) | −1.26510 | + | 3.79467i | −0.0632550 | + | 0.189733i | ||||
\(401\) | −14.0857 | − | 34.0059i | −0.703407 | − | 1.69817i | −0.715852 | − | 0.698252i | \(-0.753962\pi\) |
0.0124453 | − | 0.999923i | \(-0.496038\pi\) | |||||||
\(402\) | 2.28257 | − | 5.05604i | 0.113844 | − | 0.252173i | ||||
\(403\) | 18.6515 | − | 9.96945i | 0.929099 | − | 0.496614i | ||||
\(404\) | 0.203994 | − | 1.25687i | 0.0101491 | − | 0.0625314i | ||||
\(405\) | 6.26472 | − | 5.14132i | 0.311296 | − | 0.255474i | ||||
\(406\) | 23.0612 | + | 20.1686i | 1.14451 | + | 1.00095i | ||||
\(407\) | 12.0240 | − | 17.9952i | 0.596007 | − | 0.891988i | ||||
\(408\) | 0.652829 | + | 0.432358i | 0.0323198 | + | 0.0214049i | ||||
\(409\) | −14.6818 | + | 9.81005i | −0.725967 | + | 0.485076i | −0.862817 | − | 0.505516i | \(-0.831302\pi\) |
0.136850 | + | 0.990592i | \(0.456302\pi\) | |||||||
\(410\) | 0.794353 | − | 0.611250i | 0.0392303 | − | 0.0301875i | ||||
\(411\) | 1.35969 | + | 0.726770i | 0.0670686 | + | 0.0358489i | ||||
\(412\) | −5.11169 | − | 3.90025i | −0.251835 | − | 0.192152i | ||||
\(413\) | −3.43110 | − | 34.8366i | −0.168834 | − | 1.71420i | ||||
\(414\) | 32.2887 | − | 20.1395i | 1.58690 | − | 0.989801i | ||||
\(415\) | 3.47214 | + | 3.47214i | 0.170440 | + | 0.170440i | ||||
\(416\) | −29.2265 | − | 7.61825i | −1.43295 | − | 0.373516i | ||||
\(417\) | −2.70546 | + | 2.70546i | −0.132487 | + | 0.132487i | ||||
\(418\) | −0.266529 | + | 1.15016i | −0.0130364 | + | 0.0562563i | ||||
\(419\) | −11.1415 | + | 1.09734i | −0.544297 | + | 0.0536086i | −0.366430 | − | 0.930446i | \(-0.619420\pi\) |
−0.177868 | + | 0.984054i | \(0.556920\pi\) | |||||||
\(420\) | −1.71350 | − | 0.454131i | −0.0836103 | − | 0.0221593i | ||||
\(421\) | −4.37958 | + | 8.19362i | −0.213448 | + | 0.399332i | −0.965746 | − | 0.259491i | \(-0.916445\pi\) |
0.752298 | + | 0.658823i | \(0.228945\pi\) | |||||||
\(422\) | 13.8281 | + | 1.80134i | 0.673140 | + | 0.0876880i | ||||
\(423\) | −16.1072 | − | 24.1062i | −0.783160 | − | 1.17208i | ||||
\(424\) | 3.30441 | − | 8.07068i | 0.160476 | − | 0.391947i | ||||
\(425\) | −0.725562 | − | 0.484805i | −0.0351949 | − | 0.0235165i | ||||
\(426\) | −3.16960 | + | 0.212083i | −0.153567 | + | 0.0102754i | ||||
\(427\) | 26.4769 | + | 32.2622i | 1.28131 | + | 1.56128i | ||||
\(428\) | −6.49728 | − | 4.01577i | −0.314058 | − | 0.194109i | ||||
\(429\) | −4.75832 | − | 8.90218i | −0.229734 | − | 0.429801i | ||||
\(430\) | 4.75410 | − | 1.79671i | 0.229263 | − | 0.0866453i | ||||
\(431\) | 3.94158 | − | 1.63266i | 0.189859 | − | 0.0786424i | −0.285728 | − | 0.958311i | \(-0.592235\pi\) |
0.475588 | + | 0.879668i | \(0.342235\pi\) | |||||||
\(432\) | −7.37949 | + | 1.25970i | −0.355046 | + | 0.0606074i | ||||
\(433\) | −13.9597 | − | 5.78229i | −0.670859 | − | 0.277879i | 0.0211407 | − | 0.999777i | \(-0.493270\pi\) |
−0.692000 | + | 0.721898i | \(0.743270\pi\) | |||||||
\(434\) | 15.6425 | + | 0.490752i | 0.750864 | + | 0.0235569i | ||||
\(435\) | 2.35403 | + | 0.714086i | 0.112867 | + | 0.0342378i | ||||
\(436\) | 26.7344 | + | 24.9031i | 1.28035 | + | 1.19264i | ||||
\(437\) | 0.127440 | − | 1.29392i | 0.00609628 | − | 0.0618966i | ||||
\(438\) | −0.579297 | − | 1.17068i | −0.0276799 | − | 0.0559370i | ||||
\(439\) | 16.9804 | − | 3.37760i | 0.810428 | − | 0.161204i | 0.227553 | − | 0.973766i | \(-0.426928\pi\) |
0.582875 | + | 0.812562i | \(0.301928\pi\) | |||||||
\(440\) | −16.7807 | − | 1.58355i | −0.799991 | − | 0.0754926i | ||||
\(441\) | −0.455533 | + | 2.29012i | −0.0216920 | + | 0.109053i | ||||
\(442\) | 3.28672 | − | 5.71072i | 0.156333 | − | 0.271631i | ||||
\(443\) | −5.94048 | − | 19.5831i | −0.282241 | − | 0.930423i | −0.977370 | − | 0.211538i | \(-0.932153\pi\) |
0.695129 | − | 0.718885i | \(-0.255347\pi\) | |||||||
\(444\) | 1.72835 | − | 1.52407i | 0.0820239 | − | 0.0723293i | ||||
\(445\) | −6.76264 | − | 5.54995i | −0.320580 | − | 0.263093i | ||||
\(446\) | 1.49451 | + | 8.97603i | 0.0707672 | + | 0.425027i | ||||
\(447\) | − | 3.98567i | − | 0.188516i | ||||||
\(448\) | −15.9328 | − | 15.6745i | −0.752753 | − | 0.740548i | ||||
\(449\) | 0.130333i | 0.00615081i | 0.999995 | + | 0.00307541i | \(0.000978934\pi\) | ||||
−0.999995 | + | 0.00307541i | \(0.999021\pi\) | |||||||
\(450\) | 4.04463 | − | 0.673431i | 0.190665 | − | 0.0317459i | ||||
\(451\) | 3.26485 | + | 2.67939i | 0.153736 | + | 0.126168i | ||||
\(452\) | −8.57344 | − | 0.538479i | −0.403261 | − | 0.0253279i | ||||
\(453\) | −1.80639 | − | 5.95486i | −0.0848715 | − | 0.279784i | ||||
\(454\) | −4.07246 | − | 2.34384i | −0.191130 | − | 0.110002i | ||||
\(455\) | −2.91010 | + | 14.6301i | −0.136428 | + | 0.685868i | ||||
\(456\) | −0.0588038 | + | 0.111104i | −0.00275374 | + | 0.00520291i | ||||
\(457\) | −4.21965 | + | 0.839340i | −0.197387 | + | 0.0392627i | −0.292793 | − | 0.956176i | \(-0.594585\pi\) |
0.0954067 | + | 0.995438i | \(0.469585\pi\) | |||||||
\(458\) | −26.4320 | + | 13.0796i | −1.23509 | + | 0.611170i | ||||
\(459\) | 0.160079 | − | 1.62531i | 0.00747184 | − | 0.0758628i | ||||
\(460\) | 18.5502 | − | 0.657868i | 0.864909 | − | 0.0306732i | ||||
\(461\) | −9.05709 | − | 2.74744i | −0.421831 | − | 0.127961i | 0.0722307 | − | 0.997388i | \(-0.476988\pi\) |
−0.494061 | + | 0.869427i | \(0.664488\pi\) | |||||||
\(462\) | 0.234231 | − | 7.46600i | 0.0108974 | − | 0.347350i | ||||
\(463\) | −20.5065 | − | 8.49406i | −0.953017 | − | 0.394752i | −0.148653 | − | 0.988889i | \(-0.547494\pi\) |
−0.804364 | + | 0.594137i | \(0.797494\pi\) | |||||||
\(464\) | 21.3254 | + | 22.5217i | 0.990008 | + | 1.04554i | ||||
\(465\) | 1.16097 | − | 0.480892i | 0.0538389 | − | 0.0223008i | ||||
\(466\) | −7.27431 | − | 19.2478i | −0.336976 | − | 0.891638i | ||||
\(467\) | −17.2934 | − | 32.3536i | −0.800242 | − | 1.49715i | −0.866407 | − | 0.499339i | \(-0.833576\pi\) |
0.0661647 | − | 0.997809i | \(-0.478924\pi\) | |||||||
\(468\) | 7.11250 | + | 30.1324i | 0.328776 | + | 1.39287i | ||||
\(469\) | −21.9144 | − | 26.7028i | −1.01192 | − | 1.23302i | ||||
\(470\) | −0.944119 | − | 14.1099i | −0.0435490 | − | 0.650843i | ||||
\(471\) | 4.60925 | + | 3.07981i | 0.212383 | + | 0.141910i | ||||
\(472\) | −0.144822 | − | 35.4386i | −0.00666597 | − | 1.63120i | ||||
\(473\) | 11.8980 | + | 17.8067i | 0.547072 | + | 0.818751i | ||||
\(474\) | −0.709787 | + | 5.44871i | −0.0326016 | + | 0.250268i | ||||
\(475\) | 0.0660386 | − | 0.123550i | 0.00303006 | − | 0.00566884i | ||||
\(476\) | 4.21599 | − | 2.44944i | 0.193240 | − | 0.112270i | ||||
\(477\) | −8.89659 | + | 0.876238i | −0.407347 | + | 0.0401202i | ||||
\(478\) | −22.9592 | − | 5.32036i | −1.05013 | − | 0.243348i | ||||
\(479\) | −24.1536 | + | 24.1536i | −1.10361 | + | 1.10361i | −0.109633 | + | 0.993972i | \(0.534968\pi\) |
−0.993972 | + | 0.109633i | \(0.965032\pi\) | |||||||
\(480\) | −1.68387 | − | 0.620703i | −0.0768577 | − | 0.0283311i | ||||
\(481\) | −13.7113 | − | 13.7113i | −0.625183 | − | 0.625183i | ||||
\(482\) | −12.5603 | − | 20.1374i | −0.572105 | − | 0.917231i | ||||
\(483\) | 0.806286 | + | 8.18636i | 0.0366873 | + | 0.372492i | ||||
\(484\) | −6.53148 | − | 48.5883i | −0.296885 | − | 2.20856i | ||||
\(485\) | −2.54028 | − | 1.35781i | −0.115348 | − | 0.0616549i | ||||
\(486\) | 7.05977 | + | 9.17457i | 0.320238 | + | 0.416167i | ||||
\(487\) | −12.8300 | + | 8.57273i | −0.581383 | + | 0.388467i | −0.811202 | − | 0.584766i | \(-0.801186\pi\) |
0.229820 | + | 0.973233i | \(0.426186\pi\) | |||||||
\(488\) | 23.6179 | + | 35.0358i | 1.06913 | + | 1.58600i | ||||
\(489\) | −3.42857 | + | 5.13122i | −0.155046 | + | 0.232042i | ||||
\(490\) | −0.749783 | + | 0.857316i | −0.0338717 | + | 0.0387296i | ||||
\(491\) | −3.39786 | + | 2.78855i | −0.153343 | + | 0.125846i | −0.707937 | − | 0.706276i | \(-0.750374\pi\) |
0.554593 | + | 0.832121i | \(0.312874\pi\) | |||||||
\(492\) | 0.262931 | + | 0.364816i | 0.0118538 | + | 0.0164472i | ||||
\(493\) | −5.96741 | + | 3.18964i | −0.268758 | + | 0.143654i | ||||
\(494\) | 0.964103 | + | 0.435248i | 0.0433771 | + | 0.0195827i | ||||
\(495\) | 6.61199 | + | 15.9628i | 0.297187 | + | 0.717473i | ||||
\(496\) | 15.7196 | + | 1.98245i | 0.705832 | + | 0.0890147i | ||||
\(497\) | −7.57000 | + | 18.2756i | −0.339561 | + | 0.819772i | ||||
\(498\) | −1.60588 | + | 1.50818i | −0.0719612 | + | 0.0675832i | ||||
\(499\) | −11.7943 | + | 38.8805i | −0.527984 | + | 1.74053i | 0.133968 | + | 0.990986i | \(0.457228\pi\) |
−0.661952 | + | 0.749546i | \(0.730272\pi\) | |||||||
\(500\) | 1.87372 | + | 0.699398i | 0.0837955 | + | 0.0312780i | ||||
\(501\) | 1.55946 | + | 0.153594i | 0.0696717 | + | 0.00686206i | ||||
\(502\) | −2.36655 | + | 7.00297i | −0.105624 | + | 0.312558i | ||||
\(503\) | −3.21043 | − | 16.1399i | −0.143146 | − | 0.719644i | −0.983970 | − | 0.178335i | \(-0.942929\pi\) |
0.840824 | − | 0.541309i | \(-0.182071\pi\) | |||||||
\(504\) | −6.56104 | + | 21.9514i | −0.292252 | + | 0.977792i | ||||
\(505\) | −0.624423 | − | 0.124206i | −0.0277865 | − | 0.00552707i | ||||
\(506\) | 20.3468 | + | 75.5237i | 0.904527 | + | 3.35744i | ||||
\(507\) | −4.70775 | + | 1.42808i | −0.209079 | + | 0.0634233i | ||||
\(508\) | −1.97769 | − | 5.77434i | −0.0877456 | − | 0.256195i | ||||
\(509\) | 21.5427 | − | 26.2499i | 0.954865 | − | 1.16351i | −0.0315946 | − | 0.999501i | \(-0.510059\pi\) |
0.986459 | − | 0.164005i | \(-0.0524415\pi\) | |||||||
\(510\) | 0.227612 | − | 0.318547i | 0.0100788 | − | 0.0141055i | ||||
\(511\) | −8.13355 | −0.359807 | ||||||||
\(512\) | −14.5680 | − | 17.3139i | −0.643822 | − | 0.765175i | ||||
\(513\) | 0.262189 | 0.0115759 | ||||||||
\(514\) | 2.54618 | − | 3.56343i | 0.112307 | − | 0.157176i | ||||
\(515\) | −2.03949 | + | 2.48512i | −0.0898705 | + | 0.109508i | ||||
\(516\) | 0.738827 | + | 2.15719i | 0.0325250 | + | 0.0949649i | ||||
\(517\) | 57.0239 | − | 17.2980i | 2.50791 | − | 0.760765i | ||||
\(518\) | −3.73274 | − | 13.8552i | −0.164007 | − | 0.608764i | ||||
\(519\) | 6.00657 | + | 1.19478i | 0.263659 | + | 0.0524451i | ||||
\(520\) | −4.32465 | + | 14.4691i | −0.189649 | + | 0.634511i | ||||
\(521\) | 5.94852 | + | 29.9052i | 0.260609 | + | 1.31017i | 0.860238 | + | 0.509893i | \(0.170315\pi\) |
−0.599629 | + | 0.800278i | \(0.704685\pi\) | |||||||
\(522\) | 10.1788 | − | 30.1205i | 0.445514 | − | 1.31834i | ||||
\(523\) | 14.0744 | + | 1.38621i | 0.615433 | + | 0.0606148i | 0.400930 | − | 0.916109i | \(-0.368687\pi\) |
0.214502 | + | 0.976723i | \(0.431187\pi\) | |||||||
\(524\) | −2.79340 | − | 1.04268i | −0.122030 | − | 0.0455498i | ||||
\(525\) | −0.257288 | + | 0.848164i | −0.0112290 | + | 0.0370169i | ||||
\(526\) | −0.712542 | + | 0.669193i | −0.0310683 | + | 0.0291782i | ||||
\(527\) | −1.32275 | + | 3.19339i | −0.0576197 | + | 0.139106i | ||||
\(528\) | 0.946204 | − | 7.50281i | 0.0411782 | − | 0.326518i | ||||
\(529\) | −24.1611 | − | 58.3300i | −1.05048 | − | 2.53609i | ||||
\(530\) | −3.97425 | − | 1.79419i | −0.172630 | − | 0.0779345i | ||||
\(531\) | −32.0381 | + | 17.1247i | −1.39033 | + | 0.743149i | ||||
\(532\) | 0.457681 | + | 0.635032i | 0.0198430 | + | 0.0275321i | ||||
\(533\) | 2.92515 | − | 2.40061i | 0.126702 | − | 0.103982i | ||||
\(534\) | 2.58394 | − | 2.95453i | 0.111818 | − | 0.127855i | ||||
\(535\) | −2.12176 | + | 3.17544i | −0.0917317 | + | 0.137286i | ||||
\(536\) | −19.5481 | − | 28.9985i | −0.844349 | − | 1.25255i | ||||
\(537\) | −0.898894 | + | 0.600622i | −0.0387901 | + | 0.0259187i | ||||
\(538\) | −2.07313 | − | 2.69415i | −0.0893789 | − | 0.116153i | ||||
\(539\) | −4.23257 | − | 2.26236i | −0.182310 | − | 0.0974465i | ||||
\(540\) | 0.498683 | + | 3.70975i | 0.0214599 | + | 0.159642i | ||||
\(541\) | 2.13034 | + | 21.6297i | 0.0915905 | + | 0.929934i | 0.925681 | + | 0.378306i | \(0.123493\pi\) |
−0.834090 | + | 0.551628i | \(0.814007\pi\) | |||||||
\(542\) | 18.6298 | + | 29.8684i | 0.800219 | + | 1.28296i | ||||
\(543\) | −2.71400 | − | 2.71400i | −0.116469 | − | 0.116469i | ||||
\(544\) | 4.48233 | − | 2.06783i | 0.192179 | − | 0.0886575i | ||||
\(545\) | 12.9175 | − | 12.9175i | 0.553325 | − | 0.553325i | ||||
\(546\) | −6.51971 | − | 1.51082i | −0.279018 | − | 0.0646572i | ||||
\(547\) | 18.4593 | − | 1.81808i | 0.789264 | − | 0.0777357i | 0.304650 | − | 0.952464i | \(-0.401460\pi\) |
0.484613 | + | 0.874729i | \(0.338960\pi\) | |||||||
\(548\) | 8.40402 | − | 4.88264i | 0.359002 | − | 0.208576i | ||||
\(549\) | 20.4174 | − | 38.1982i | 0.871393 | − | 1.63026i | ||||
\(550\) | −1.08865 | + | 8.35704i | −0.0464200 | + | 0.356345i | ||||
\(551\) | −0.603501 | − | 0.903203i | −0.0257100 | − | 0.0384777i | ||||
\(552\) | 0.0340322 | + | 8.32784i | 0.00144851 | + | 0.354457i | ||||
\(553\) | 28.4496 | + | 19.0094i | 1.20980 | + | 0.808363i | ||||
\(554\) | 2.32316 | + | 34.7199i | 0.0987018 | + | 1.47511i | ||||
\(555\) | −0.730930 | − | 0.890641i | −0.0310263 | − | 0.0378056i | ||||
\(556\) | 5.54119 | + | 23.4755i | 0.234999 | + | 0.995582i | ||||
\(557\) | −0.930907 | − | 1.74160i | −0.0394438 | − | 0.0737941i | 0.861427 | − | 0.507881i | \(-0.169571\pi\) |
−0.900871 | + | 0.434087i | \(0.857071\pi\) | |||||||
\(558\) | −5.74175 | − | 15.1927i | −0.243068 | − | 0.643156i | ||||
\(559\) | 17.7270 | − | 7.34278i | 0.749774 | − | 0.310566i | ||||
\(560\) | −8.11465 | + | 7.68362i | −0.342906 | + | 0.324692i | ||||
\(561\) | 1.52417 | + | 0.631333i | 0.0643506 | + | 0.0266549i | ||||
\(562\) | 0.0469779 | − | 1.49740i | 0.00198164 | − | 0.0631639i | ||||
\(563\) | 13.1784 | + | 3.99762i | 0.555403 | + | 0.168480i | 0.555494 | − | 0.831520i | \(-0.312529\pi\) |
−9.13228e−5 | 1.00000i | \(0.500029\pi\) | ||||||||
\(564\) | 6.34069 | − | 0.224867i | 0.266991 | − | 0.00946861i | ||||
\(565\) | −0.421000 | + | 4.27448i | −0.0177116 | + | 0.179829i | ||||
\(566\) | 15.1429 | − | 7.49330i | 0.636502 | − | 0.314967i | ||||
\(567\) | 22.2068 | − | 4.41721i | 0.932598 | − | 0.185505i | ||||
\(568\) | −9.36817 | + | 17.7002i | −0.393080 | + | 0.742685i | ||||
\(569\) | 4.51959 | − | 22.7215i | 0.189471 | − | 0.952536i | −0.762649 | − | 0.646813i | \(-0.776102\pi\) |
0.952120 | − | 0.305724i | \(-0.0988984\pi\) | |||||||
\(570\) | 0.0544750 | + | 0.0313523i | 0.00228171 | + | 0.00131320i | ||||
\(571\) | −10.2831 | − | 33.8989i | −0.430336 | − | 1.41863i | −0.857515 | − | 0.514460i | \(-0.827993\pi\) |
0.427179 | − | 0.904167i | \(-0.359507\pi\) | |||||||
\(572\) | −63.5101 | − | 3.98894i | −2.65549 | − | 0.166786i | ||||
\(573\) | −2.09065 | − | 1.71575i | −0.0873381 | − | 0.0716765i | ||||
\(574\) | 2.76223 | − | 0.459912i | 0.115293 | − | 0.0191964i | ||||
\(575\) | − | 9.28094i | − | 0.387042i | ||||||
\(576\) | −8.70084 | + | 21.5011i | −0.362535 | + | 0.895877i | ||||
\(577\) | 27.0049i | 1.12423i | 0.827059 | + | 0.562114i | \(0.190012\pi\) | ||||
−0.827059 | + | 0.562114i | \(0.809988\pi\) | |||||||
\(578\) | −3.77171 | − | 22.6529i | −0.156883 | − | 0.942236i | ||||
\(579\) | −0.0670878 | − | 0.0550575i | −0.00278807 | − | 0.00228811i | ||||
\(580\) | 11.6317 | − | 10.2569i | 0.482979 | − | 0.425895i | ||||
\(581\) | 3.98228 | + | 13.1278i | 0.165213 | + | 0.544634i | ||||
\(582\) | 0.644628 | − | 1.12005i | 0.0267207 | − | 0.0464276i | ||||
\(583\) | 3.58464 | − | 18.0212i | 0.148461 | − | 0.746363i | ||||
\(584\) | −8.19792 | − | 0.773612i | −0.339232 | − | 0.0320123i | ||||
\(585\) | 15.1828 | − | 3.02004i | 0.627731 | − | 0.124863i | ||||
\(586\) | −14.8851 | − | 30.0807i | −0.614899 | − | 1.24262i | ||||
\(587\) | −1.14651 | + | 11.6407i | −0.0473214 | + | 0.480462i | 0.942094 | + | 0.335349i | \(0.108854\pi\) |
−0.989415 | + | 0.145112i | \(0.953646\pi\) | |||||||
\(588\) | −0.373903 | − | 0.348291i | −0.0154195 | − | 0.0143633i | ||||
\(589\) | −0.531012 | − | 0.161081i | −0.0218800 | − | 0.00663722i | ||||
\(590\) | −17.7108 | − | 0.555640i | −0.729140 | − | 0.0228753i | ||||
\(591\) | −0.440470 | − | 0.182449i | −0.0181185 | − | 0.00750494i | ||||
\(592\) | −2.44446 | − | 14.3199i | −0.100467 | − | 0.588546i | ||||
\(593\) | 38.1017 | − | 15.7823i | 1.56465 | − | 0.648099i | 0.578761 | − | 0.815497i | \(-0.303536\pi\) |
0.985889 | + | 0.167398i | \(0.0535364\pi\) | |||||||
\(594\) | −14.7543 | + | 5.57609i | −0.605377 | + | 0.228790i | ||||
\(595\) | −1.14924 | − | 2.15008i | −0.0471143 | − | 0.0881446i | ||||
\(596\) | −21.3736 | − | 13.2103i | −0.875496 | − | 0.541116i | ||||
\(597\) | −0.601291 | − | 0.732675i | −0.0246092 | − | 0.0299864i | ||||
\(598\) | 69.9219 | − | 4.67859i | 2.85932 | − | 0.191322i | ||||
\(599\) | 2.16545 | + | 1.44691i | 0.0884778 | + | 0.0591190i | 0.599022 | − | 0.800732i | \(-0.295556\pi\) |
−0.510544 | + | 0.859851i | \(0.670556\pi\) | |||||||
\(600\) | −0.339996 | + | 0.830406i | −0.0138803 | + | 0.0339012i | ||||
\(601\) | −15.7964 | − | 23.6410i | −0.644350 | − | 0.964337i | −0.999563 | − | 0.0295521i | \(-0.990592\pi\) |
0.355214 | − | 0.934785i | \(-0.384408\pi\) | |||||||
\(602\) | 14.0800 | + | 1.83415i | 0.573857 | + | 0.0747545i | ||||
\(603\) | −16.8991 | + | 31.6160i | −0.688185 | + | 1.28750i | ||||
\(604\) | −37.9208 | − | 10.0502i | −1.54297 | − | 0.408936i | ||||
\(605\) | −24.3946 | + | 2.40266i | −0.991782 | + | 0.0976820i | ||||
\(606\) | 0.0644831 | − | 0.278266i | 0.00261945 | − | 0.0113038i | ||||
\(607\) | 18.6144 | − | 18.6144i | 0.755537 | − | 0.755537i | −0.219970 | − | 0.975507i | \(-0.570596\pi\) |
0.975507 | + | 0.219970i | \(0.0705959\pi\) | |||||||
\(608\) | 0.400903 | + | 0.683590i | 0.0162588 | + | 0.0277232i | ||||
\(609\) | 4.85968 | + | 4.85968i | 0.196924 | + | 0.196924i | ||||
\(610\) | 17.9254 | − | 11.1806i | 0.725780 | − | 0.452691i | ||||
\(611\) | −5.23309 | − | 53.1325i | −0.211708 | − | 2.14951i | ||||
\(612\) | −4.02283 | − | 3.06945i | −0.162613 | − | 0.124075i | ||||
\(613\) | −36.8785 | − | 19.7120i | −1.48951 | − | 0.796160i | −0.492272 | − | 0.870441i | \(-0.663834\pi\) |
−0.997237 | + | 0.0742816i | \(0.976334\pi\) | |||||||
\(614\) | −20.3504 | + | 15.6595i | −0.821274 | + | 0.631965i | ||||
\(615\) | 0.186953 | − | 0.124918i | 0.00753866 | − | 0.00503717i | ||||
\(616\) | −39.2608 | − | 26.0018i | −1.58186 | − | 1.04764i | ||||
\(617\) | 13.1387 | − | 19.6635i | 0.528944 | − | 0.791621i | −0.466743 | − | 0.884393i | \(-0.654573\pi\) |
0.995687 | + | 0.0927721i | \(0.0295728\pi\) | |||||||
\(618\) | −1.08572 | − | 0.949541i | −0.0436742 | − | 0.0381962i | ||||
\(619\) | −12.9390 | + | 10.6188i | −0.520063 | + | 0.426805i | −0.857455 | − | 0.514560i | \(-0.827955\pi\) |
0.337391 | + | 0.941364i | \(0.390455\pi\) | |||||||
\(620\) | 1.26917 | − | 7.81974i | 0.0509711 | − | 0.314048i | ||||
\(621\) | 15.3188 | − | 8.18808i | 0.614723 | − | 0.328576i | ||||
\(622\) | −3.87075 | + | 8.57399i | −0.155203 | + | 0.343785i | ||||
\(623\) | −9.35334 | − | 22.5809i | −0.374733 | − | 0.904687i | ||||
\(624\) | −6.42761 | − | 2.14289i | −0.257310 | − | 0.0857843i | ||||
\(625\) | 0.382683 | − | 0.923880i | 0.0153073 | − | 0.0369552i | ||||
\(626\) | 14.4681 | + | 15.4053i | 0.578261 | + | 0.615719i | ||||
\(627\) | −0.0768822 | + | 0.253447i | −0.00307038 | + | 0.0101217i | ||||
\(628\) | 31.7929 | − | 14.5097i | 1.26868 | − | 0.579001i | ||||
\(629\) | 3.15392 | + | 0.310634i | 0.125755 | + | 0.0123858i | ||||
\(630\) | 10.8525 | + | 3.66746i | 0.432375 | + | 0.146115i | ||||
\(631\) | 2.58092 | + | 12.9752i | 0.102745 | + | 0.516534i | 0.997543 | + | 0.0700620i | \(0.0223197\pi\) |
−0.894798 | + | 0.446472i | \(0.852680\pi\) | |||||||
\(632\) | 26.8667 | + | 21.8658i | 1.06870 | + | 0.869776i | ||||
\(633\) | 3.06813 | + | 0.610289i | 0.121947 | + | 0.0242568i | ||||
\(634\) | 24.5098 | − | 6.60319i | 0.973410 | − | 0.262246i | ||||
\(635\) | −2.92040 | + | 0.885895i | −0.115893 | + | 0.0351557i | ||||
\(636\) | 0.860491 | − | 1.75695i | 0.0341207 | − | 0.0696677i | ||||
\(637\) | −2.72783 | + | 3.32387i | −0.108081 | + | 0.131697i | ||||
\(638\) | 53.1699 | + | 37.9915i | 2.10502 | + | 1.50410i | ||||
\(639\) | 20.5287 | 0.812102 | ||||||||
\(640\) | −8.90969 | + | 6.97262i | −0.352186 | + | 0.275617i | ||||
\(641\) | −4.83150 | −0.190833 | −0.0954164 | − | 0.995437i | \(-0.530418\pi\) | ||||
−0.0954164 | + | 0.995437i | \(0.530418\pi\) | |||||||
\(642\) | −1.39413 | − | 0.996148i | −0.0550219 | − | 0.0393148i | ||||
\(643\) | 7.98495 | − | 9.72969i | 0.314896 | − | 0.383701i | −0.591377 | − | 0.806395i | \(-0.701415\pi\) |
0.906273 | + | 0.422694i | \(0.138915\pi\) | |||||||
\(644\) | 46.5726 | + | 22.8095i | 1.83522 | + | 0.898822i | ||||
\(645\) | 1.09101 | − | 0.330954i | 0.0429584 | − | 0.0130313i | ||||
\(646\) | −0.166932 | + | 0.0449731i | −0.00656785 | + | 0.00176944i | ||||
\(647\) | 46.2690 | + | 9.20348i | 1.81902 | + | 0.361826i | 0.982523 | − | 0.186140i | \(-0.0595978\pi\) |
0.836500 | + | 0.547966i | \(0.184598\pi\) | |||||||
\(648\) | 22.8027 | − | 2.34000i | 0.895775 | − | 0.0919238i | ||||
\(649\) | −14.5668 | − | 73.2320i | −0.571795 | − | 2.87461i | ||||
\(650\) | 7.15335 | + | 2.41737i | 0.280578 | + | 0.0948172i | ||||
\(651\) | 3.49387 | + | 0.344117i | 0.136936 | + | 0.0134870i | ||||
\(652\) | 16.1529 | + | 35.3933i | 0.632595 | + | 1.38611i | ||||
\(653\) | −10.4050 | + | 34.3008i | −0.407181 | + | 1.34229i | 0.478536 | + | 0.878068i | \(0.341168\pi\) |
−0.885716 | + | 0.464227i | \(0.846332\pi\) | |||||||
\(654\) | 5.61094 | + | 5.97440i | 0.219405 | + | 0.233618i | ||||
\(655\) | −0.570516 | + | 1.37735i | −0.0222919 | + | 0.0538174i | ||||
\(656\) | 2.82784 | − | 0.200826i | 0.110408 | − | 0.00784094i | ||||
\(657\) | 3.23016 | + | 7.79831i | 0.126021 | + | 0.304241i | ||||
\(658\) | 16.2564 | − | 36.0091i | 0.633742 | − | 1.40378i | ||||
\(659\) | 11.1622 | − | 5.96630i | 0.434816 | − | 0.232414i | −0.239441 | − | 0.970911i | \(-0.576964\pi\) |
0.674257 | + | 0.738497i | \(0.264464\pi\) | |||||||
\(660\) | −3.73228 | − | 0.605762i | −0.145279 | − | 0.0235792i | ||||
\(661\) | 30.8304 | − | 25.3019i | 1.19916 | − | 0.984129i | 0.199173 | − | 0.979964i | \(-0.436174\pi\) |
0.999991 | − | 0.00416461i | \(-0.00132564\pi\) | |||||||
\(662\) | −0.926829 | − | 0.810577i | −0.0360222 | − | 0.0315040i | ||||
\(663\) | 0.821188 | − | 1.22899i | 0.0318923 | − | 0.0477302i | ||||
\(664\) | 2.76516 | + | 13.6105i | 0.107309 | + | 0.528189i | ||||
\(665\) | 0.325427 | − | 0.217443i | 0.0126195 | − | 0.00843210i | ||||
\(666\) | −11.8018 | + | 9.08137i | −0.457309 | + | 0.351896i | ||||
\(667\) | −63.4672 | − | 33.9239i | −2.45746 | − | 1.31354i | ||||
\(668\) | 5.99243 | − | 7.85370i | 0.231854 | − | 0.303869i | ||||
\(669\) | 0.200082 | + | 2.03147i | 0.00773562 | + | 0.0785411i | ||||
\(670\) | −14.8366 | + | 9.25402i | −0.573187 | + | 0.357514i | ||||
\(671\) | 62.9490 | + | 62.9490i | 2.43012 | + | 2.43012i | ||||
\(672\) | −3.33145 | − | 3.74700i | −0.128513 | − | 0.144544i | ||||
\(673\) | −17.6656 | + | 17.6656i | −0.680961 | + | 0.680961i | −0.960217 | − | 0.279256i | \(-0.909912\pi\) |
0.279256 | + | 0.960217i | \(0.409912\pi\) | |||||||
\(674\) | −1.06149 | + | 4.58069i | −0.0408871 | + | 0.176442i | ||||
\(675\) | 1.86255 | − | 0.183445i | 0.0716895 | − | 0.00706079i | ||||
\(676\) | −7.94540 | + | 29.9791i | −0.305592 | + | 1.15304i | ||||
\(677\) | 12.0115 | − | 22.4720i | 0.461640 | − | 0.863668i | −0.538143 | − | 0.842854i | \(-0.680874\pi\) |
0.999783 | − | 0.0208148i | \(-0.00662603\pi\) | |||||||
\(678\) | −1.91091 | − | 0.248928i | −0.0733880 | − | 0.00956003i | ||||
\(679\) | −4.47082 | − | 6.69105i | −0.171574 | − | 0.256779i | ||||
\(680\) | −0.953834 | − | 2.27640i | −0.0365779 | − | 0.0872961i | ||||
\(681\) | −0.876426 | − | 0.585609i | −0.0335847 | − | 0.0224406i | ||||
\(682\) | 33.3077 | − | 2.22867i | 1.27542 | − | 0.0853403i | ||||
\(683\) | −10.5374 | − | 12.8398i | −0.403202 | − | 0.491303i | 0.531339 | − | 0.847159i | \(-0.321689\pi\) |
−0.934541 | + | 0.355857i | \(0.884189\pi\) | |||||||
\(684\) | 0.427094 | − | 0.691014i | 0.0163304 | − | 0.0264216i | ||||
\(685\) | −2.29086 | − | 4.28589i | −0.0875292 | − | 0.163756i | ||||
\(686\) | 22.8948 | − | 8.65262i | 0.874128 | − | 0.330359i | ||||
\(687\) | −6.11211 | + | 2.53172i | −0.233191 | + | 0.0965910i | ||||
\(688\) | 14.0169 | + | 3.18787i | 0.534391 | + | 0.121536i | ||||
\(689\) | −15.2093 | − | 6.29992i | −0.579430 | − | 0.240008i | ||||
\(690\) | 4.16191 | + | 0.130572i | 0.158441 | + | 0.00497078i | ||||
\(691\) | −28.2132 | − | 8.55838i | −1.07328 | − | 0.325576i | −0.296296 | − | 0.955096i | \(-0.595752\pi\) |
−0.776984 | + | 0.629520i | \(0.783252\pi\) | |||||||
\(692\) | 26.3156 | − | 28.2508i | 1.00037 | − | 1.07393i | ||||
\(693\) | −4.73141 | + | 48.0388i | −0.179731 | + | 1.82484i | ||||
\(694\) | 17.9707 | + | 36.3162i | 0.682159 | + | 1.37854i | ||||
\(695\) | 11.8286 | − | 2.35285i | 0.448683 | − | 0.0892485i | ||||
\(696\) | 4.43592 | + | 5.36036i | 0.168143 | + | 0.203184i | ||||
\(697\) | −0.120656 | + | 0.606581i | −0.00457019 | + | 0.0229759i | ||||
\(698\) | 11.8507 | − | 20.5907i | 0.448554 | − | 0.779368i | ||||
\(699\) | −1.33992 | − | 4.41714i | −0.0506806 | − | 0.167072i | ||||
\(700\) | 3.69560 | + | 4.19094i | 0.139680 | + | 0.158402i | ||||
\(701\) | −15.0289 | − | 12.3339i | −0.567634 | − | 0.465845i | 0.306269 | − | 0.951945i | \(-0.400919\pi\) |
−0.873903 | + | 0.486100i | \(0.838419\pi\) | |||||||
\(702\) | 2.32098 | + | 13.9398i | 0.0875998 | + | 0.526124i | ||||
\(703\) | 0.508779i | 0.0191890i | ||||||||
\(704\) | −37.0984 | − | 29.9419i | −1.39820 | − | 1.12848i | ||||
\(705\) | − | 3.17234i | − | 0.119477i | ||||||
\(706\) | 43.4702 | − | 7.23780i | 1.63602 | − | 0.272398i | ||||
\(707\) | −1.37495 | − | 1.12839i | −0.0517103 | − | 0.0424375i | ||||
\(708\) | 0.498338 | − | 7.93432i | 0.0187287 | − | 0.298190i | ||||
\(709\) | 4.01896 | + | 13.2487i | 0.150935 | + | 0.497567i | 0.999503 | − | 0.0315196i | \(-0.0100347\pi\) |
−0.848568 | + | 0.529087i | \(0.822535\pi\) | |||||||
\(710\) | 8.67854 | + | 4.99481i | 0.325700 | + | 0.187452i | ||||
\(711\) | 6.92741 | − | 34.8264i | 0.259798 | − | 1.30609i | ||||
\(712\) | −7.27960 | − | 23.6493i | −0.272815 | − | 0.886295i | ||||
\(713\) | −36.0558 | + | 7.17194i | −1.35030 | + | 0.268591i | ||||
\(714\) | 0.980340 | − | 0.485112i | 0.0366883 | − | 0.0181548i | ||||
\(715\) | −3.11867 | + | 31.6644i | −0.116632 | + | 1.18418i | ||||
\(716\) | 0.241551 | + | 6.81114i | 0.00902719 | + | 0.254544i | ||||
\(717\) | −5.05922 | − | 1.53470i | −0.188940 | − | 0.0573143i | ||||
\(718\) | −0.116088 | + | 3.70025i | −0.00433236 | + | 0.138092i | ||||
\(719\) | −32.4434 | − | 13.4385i | −1.20994 | − | 0.501172i | −0.315739 | − | 0.948846i | \(-0.602252\pi\) |
−0.894197 | + | 0.447674i | \(0.852252\pi\) | |||||||
\(720\) | 10.5896 | + | 4.72871i | 0.394651 | + | 0.176228i | ||||
\(721\) | −8.29800 | + | 3.43715i | −0.309034 | + | 0.128006i | ||||
\(722\) | 9.48941 | + | 25.1090i | 0.353159 | + | 0.934459i | ||||
\(723\) | −2.50975 | − | 4.69541i | −0.0933386 | − | 0.174624i | ||||
\(724\) | −23.5495 | + | 5.55866i | −0.875210 | + | 0.206586i | ||||
\(725\) | −4.91911 | − | 5.99395i | −0.182691 | − | 0.222610i | ||||
\(726\) | −0.734236 | − | 10.9732i | −0.0272500 | − | 0.407254i | ||||
\(727\) | 22.3012 | + | 14.9012i | 0.827107 | + | 0.552655i | 0.895530 | − | 0.445001i | \(-0.146797\pi\) |
−0.0684231 | + | 0.997656i | \(0.521797\pi\) | |||||||
\(728\) | −29.7112 | + | 29.9550i | −1.10117 | + | 1.11021i | ||||
\(729\) | −12.0648 | − | 18.0562i | −0.446844 | − | 0.668749i | ||||
\(730\) | −0.531838 | + | 4.08268i | −0.0196842 | + | 0.151107i | ||||
\(731\) | −1.47829 | + | 2.76568i | −0.0546765 | + | 0.102292i | ||||
\(732\) | 4.76162 | + | 8.19571i | 0.175994 | + | 0.302922i | ||||
\(733\) | 9.66649 | − | 0.952067i | 0.357040 | − | 0.0351654i | 0.0820928 | − | 0.996625i | \(-0.473840\pi\) |
0.274947 | + | 0.961459i | \(0.411340\pi\) | |||||||
\(734\) | −3.76989 | − | 0.873603i | −0.139149 | − | 0.0322453i | ||||
\(735\) | −0.180662 | + | 0.180662i | −0.00666382 | + | 0.00666382i | ||||
\(736\) | 44.7717 | + | 27.4198i | 1.65031 | + | 1.01071i | ||||
\(737\) | −52.1017 | − | 52.1017i | −1.91919 | − | 1.91919i | ||||
\(738\) | −1.53795 | − | 2.46573i | −0.0566127 | − | 0.0907648i | ||||
\(739\) | −1.15477 | − | 11.7245i | −0.0424788 | − | 0.431295i | −0.992779 | − | 0.119959i | \(-0.961724\pi\) |
0.950300 | − | 0.311336i | \(-0.100776\pi\) | |||||||
\(740\) | −7.19879 | + | 0.967698i | −0.264633 | + | 0.0355733i | ||||
\(741\) | 0.209275 | + | 0.111860i | 0.00768789 | + | 0.00410926i | ||||
\(742\) | −7.42928 | − | 9.65477i | −0.272738 | − | 0.354438i | ||||
\(743\) | −3.88766 | + | 2.59765i | −0.142624 | + | 0.0952986i | −0.624835 | − | 0.780757i | \(-0.714834\pi\) |
0.482211 | + | 0.876055i | \(0.339834\pi\) | |||||||
\(744\) | 3.48880 | + | 0.679156i | 0.127905 | + | 0.0248991i | ||||
\(745\) | −6.97978 | + | 10.4460i | −0.255719 | + | 0.382711i | ||||
\(746\) | −24.4440 | + | 27.9497i | −0.894957 | + | 1.02331i | ||||
\(747\) | 11.0052 | − | 9.03174i | 0.402659 | − | 0.330454i | ||||
\(748\) | 8.43739 | − | 6.08101i | 0.308501 | − | 0.222344i | ||||
\(749\) | −9.40986 | + | 5.02967i | −0.343829 | + | 0.183780i | ||||
\(750\) | 0.408917 | + | 0.184607i | 0.0149315 | + | 0.00674089i | ||||
\(751\) | −0.812653 | − | 1.96192i | −0.0296541 | − | 0.0715914i | 0.908359 | − | 0.418192i | \(-0.137336\pi\) |
−0.938013 | + | 0.346600i | \(0.887336\pi\) | |||||||
\(752\) | 19.8101 | − | 34.7479i | 0.722398 | − | 1.26713i | ||||
\(753\) | −0.634582 | + | 1.53202i | −0.0231254 | + | 0.0558297i | ||||
\(754\) | 42.6782 | − | 40.0818i | 1.55425 | − | 1.45969i | ||||
\(755\) | −5.69393 | + | 18.7704i | −0.207223 | + | 0.683124i | ||||
\(756\) | −3.65699 | + | 9.79727i | −0.133003 | + | 0.356323i | ||||
\(757\) | −8.66651 | − | 0.853577i | −0.314990 | − | 0.0310238i | −0.0607130 | − | 0.998155i | \(-0.519337\pi\) |
−0.254277 | + | 0.967131i | \(0.581837\pi\) | |||||||
\(758\) | −8.83387 | + | 26.1407i | −0.320861 | + | 0.949472i | ||||
\(759\) | 3.42309 | + | 17.2090i | 0.124250 | + | 0.624649i | ||||
\(760\) | 0.348685 | − | 0.188212i | 0.0126481 | − | 0.00682716i | ||||
\(761\) | 23.5946 | + | 4.69326i | 0.855305 | + | 0.170131i | 0.603220 | − | 0.797575i | \(-0.293884\pi\) |
0.252084 | + | 0.967705i | \(0.418884\pi\) | |||||||
\(762\) | −0.356181 | − | 1.32208i | −0.0129031 | − | 0.0478938i | ||||
\(763\) | 48.8399 | − | 14.8154i | 1.76812 | − | 0.536354i | ||||
\(764\) | −16.1302 | + | 5.52454i | −0.583572 | + | 0.199871i | ||||
\(765\) | −1.60505 | + | 1.95576i | −0.0580306 | + | 0.0707105i | ||||
\(766\) | −22.4294 | + | 31.3904i | −0.810407 | + | 1.13418i | ||||
\(767\) | −66.8978 | −2.41554 | ||||||||
\(768\) | −3.00143 | − | 4.09352i | −0.108305 | − | 0.147712i | ||||
\(769\) | −1.60304 | −0.0578071 | −0.0289035 | − | 0.999582i | \(-0.509202\pi\) | ||||
−0.0289035 | + | 0.999582i | \(0.509202\pi\) | |||||||
\(770\) | −13.6885 | + | 19.1573i | −0.493298 | + | 0.690382i | ||||
\(771\) | 0.623275 | − | 0.759462i | 0.0224467 | − | 0.0273514i | ||||
\(772\) | −0.517611 | + | 0.177279i | −0.0186292 | + | 0.00638043i | ||||
\(773\) | 41.6707 | − | 12.6407i | 1.49879 | − | 0.454653i | 0.568874 | − | 0.822425i | \(-0.307379\pi\) |
0.929916 | + | 0.367772i | \(0.119879\pi\) | |||||||
\(774\) | −3.83318 | − | 14.2281i | −0.137781 | − | 0.511417i | ||||
\(775\) | −3.88492 | − | 0.772759i | −0.139551 | − | 0.0277583i | ||||
\(776\) | −3.86979 | − | 7.16924i | −0.138917 | − | 0.257361i | ||||
\(777\) | −0.627985 | − | 3.15709i | −0.0225288 | − | 0.113260i | ||||
\(778\) | −12.9468 | + | 38.3114i | −0.464165 | + | 1.37353i | ||||
\(779\) | −0.0988102 | − | 0.00973195i | −0.00354024 | − | 0.000348683i | ||||
\(780\) | −1.18468 | + | 3.17381i | −0.0424182 | + | 0.113641i | ||||
\(781\) | −12.2483 | + | 40.3772i | −0.438278 | + | 1.44481i | ||||
\(782\) | −8.34877 | + | 7.84085i | −0.298551 | + | 0.280388i | ||||
\(783\) | 5.55355 | − | 13.4075i | 0.198468 | − | 0.479143i | ||||
\(784\) | −3.10703 | + | 0.850698i | −0.110965 | + | 0.0303821i | ||||
\(785\) | −6.68690 | − | 16.1436i | −0.238666 | − | 0.576190i | ||||
\(786\) | −0.609625 | − | 0.275217i | −0.0217446 | − | 0.00981668i | ||||
\(787\) | −2.99389 | + | 1.60027i | −0.106721 | + | 0.0570434i | −0.523893 | − | 0.851784i | \(-0.675521\pi\) |
0.417173 | + | 0.908827i | \(0.363021\pi\) | |||||||
\(788\) | −2.43832 | + | 1.75735i | −0.0868615 | + | 0.0626030i | ||||
\(789\) | −0.169509 | + | 0.139112i | −0.00603468 | + | 0.00495253i | ||||
\(790\) | 11.4021 | − | 13.0374i | 0.405670 | − | 0.463851i | ||||
\(791\) | −6.66676 | + | 9.97751i | −0.237043 | + | 0.354760i | ||||
\(792\) | −9.33801 | + | 47.9690i | −0.331812 | + | 1.70450i | ||||
\(793\) | 66.3185 | − | 44.3126i | 2.35504 | − | 1.57359i | ||||
\(794\) | −19.3259 | − | 25.1151i | −0.685850 | − | 0.891300i | ||||
\(795\) | −0.862676 | − | 0.461110i | −0.0305960 | − | 0.0163539i | ||||
\(796\) | −5.92199 | + | 0.796065i | −0.209900 | + | 0.0282158i | ||||
\(797\) | −4.01291 | − | 40.7438i | −0.142145 | − | 1.44322i | −0.756399 | − | 0.654110i | \(-0.773043\pi\) |
0.614255 | − | 0.789108i | \(-0.289457\pi\) | |||||||
\(798\) | 0.0929311 | + | 0.148992i | 0.00328973 | + | 0.00527427i | ||||
\(799\) | 6.17012 | + | 6.17012i | 0.218283 | + | 0.218283i | ||||
\(800\) | 3.32623 | + | 4.57561i | 0.117600 | + | 0.161772i | ||||
\(801\) | −17.9356 | + | 17.9356i | −0.633725 | + | 0.633725i | ||||
\(802\) | −50.7102 | − | 11.7512i | −1.79064 | − | 0.414948i | ||||
\(803\) | −17.2655 | + | 1.70050i | −0.609286 | + | 0.0600094i | ||||
\(804\) | −3.94110 | − | 6.78344i | −0.138992 | − | 0.239234i | ||||
\(805\) | 12.2229 | − | 22.8675i | 0.430801 | − | 0.805972i | ||||
\(806\) | 3.86349 | − | 29.6583i | 0.136086 | − | 1.04467i | ||||
\(807\) | −0.423675 | − | 0.634074i | −0.0149140 | − | 0.0223205i | ||||
\(808\) | −1.27851 | − | 1.26810i | −0.0449777 | − | 0.0446116i | ||||
\(809\) | 18.9656 | + | 12.6724i | 0.666797 | + | 0.445539i | 0.842350 | − | 0.538931i | \(-0.181172\pi\) |
−0.175554 | + | 0.984470i | \(0.556172\pi\) | |||||||
\(810\) | −0.765178 | − | 11.4357i | −0.0268856 | − | 0.401808i | ||||
\(811\) | 15.8115 | + | 19.2663i | 0.555215 | + | 0.676532i | 0.972677 | − | 0.232163i | \(-0.0745802\pi\) |
−0.417462 | + | 0.908695i | \(0.637080\pi\) | |||||||
\(812\) | 42.1677 | − | 9.95334i | 1.47980 | − | 0.349294i | ||||
\(813\) | 3.72254 | + | 6.96438i | 0.130555 | + | 0.244251i | ||||
\(814\) | −10.8204 | − | 28.6308i | −0.379256 | − | 1.00351i | ||||
\(815\) | 17.9718 | − | 7.44415i | 0.629524 | − | 0.260757i | ||||
\(816\) | 1.03424 | − | 0.395707i | 0.0362056 | − | 0.0138525i | ||||
\(817\) | −0.465127 | − | 0.192662i | −0.0162727 | − | 0.00674038i | ||||
\(818\) | −0.783051 | + | 24.9594i | −0.0273788 | + | 0.872684i | ||||
\(819\) | 41.3865 | + | 12.5544i | 1.44616 | + | 0.438688i | ||||
\(820\) | −0.0502381 | − | 1.41659i | −0.00175439 | − | 0.0494694i | ||||
\(821\) | −1.48253 | + | 15.0524i | −0.0517408 | + | 0.525333i | 0.934025 | + | 0.357208i | \(0.116271\pi\) |
−0.985766 | + | 0.168125i | \(0.946229\pi\) | |||||||
\(822\) | 1.95418 | − | 0.967005i | 0.0681598 | − | 0.0337282i | ||||
\(823\) | −30.2094 | + | 6.00902i | −1.05303 | + | 0.209461i | −0.691112 | − | 0.722747i | \(-0.742879\pi\) |
−0.361921 | + | 0.932209i | \(0.617879\pi\) | |||||||
\(824\) | −8.69060 | + | 2.67509i | −0.302751 | + | 0.0931913i | ||||
\(825\) | −0.368830 | + | 1.85423i | −0.0128410 | + | 0.0645561i | ||||
\(826\) | −42.9060 | − | 24.6939i | −1.49289 | − | 0.859212i | ||||
\(827\) | −7.97497 | − | 26.2900i | −0.277317 | − | 0.914192i | −0.979371 | − | 0.202068i | \(-0.935234\pi\) |
0.702054 | − | 0.712123i | \(-0.252266\pi\) | |||||||
\(828\) | 3.37351 | − | 53.7116i | 0.117238 | − | 1.86661i | ||||
\(829\) | 22.4943 | + | 18.4606i | 0.781260 | + | 0.641163i | 0.938062 | − | 0.346467i | \(-0.112619\pi\) |
−0.156802 | + | 0.987630i | \(0.550119\pi\) | |||||||
\(830\) | 6.84997 | − | 1.14052i | 0.237766 | − | 0.0395881i | ||||
\(831\) | 7.80607i | 0.270790i | ||||||||
\(832\) | −32.7955 | + | 27.3662i | −1.13698 | + | 0.948751i | ||||
\(833\) | − | 0.702766i | − | 0.0243494i | ||||||
\(834\) | 0.888687 | + | 5.33745i | 0.0307727 | + | 0.184821i | ||||
\(835\) | −3.81819 | − | 3.13351i | −0.132134 | − | 0.108440i | ||||
\(836\) | 1.10431 | + | 1.25233i | 0.0381934 | + | 0.0433126i | ||||
\(837\) | −2.15197 | − | 7.09409i | −0.0743829 | − | 0.245208i | ||||
\(838\) | −7.89765 | + | 13.7223i | −0.272820 | + | 0.474028i | ||||
\(839\) | −8.63944 | + | 43.4334i | −0.298266 | + | 1.49949i | 0.483184 | + | 0.875519i | \(0.339480\pi\) |
−0.781450 | + | 0.623968i | \(0.785520\pi\) | |||||||
\(840\) | −1.93136 | + | 1.59828i | −0.0666382 | + | 0.0551458i | ||||
\(841\) | −30.5269 | + | 6.07219i | −1.05265 | + | 0.209386i | ||||
\(842\) | 5.82726 | + | 11.7760i | 0.200821 | + | 0.405829i | ||||
\(843\) | 0.0329410 | − | 0.334455i | 0.00113455 | − | 0.0115193i | ||||
\(844\) | 13.4419 | − | 14.4304i | 0.462690 | − | 0.496714i | ||||
\(845\) | 14.8393 | + | 4.50146i | 0.510489 | + | 0.154855i | ||||
\(846\) | −40.9810 | − | 1.28570i | −1.40896 | − | 0.0442032i | ||||
\(847\) | −63.2705 | − | 26.2075i | −2.17400 | − | 0.900501i | ||||
\(848\) | −6.56978 | − | 10.4378i | −0.225607 | − | 0.358436i | ||||
\(849\) | 3.50162 | − | 1.45042i | 0.120175 | − | 0.0497782i | ||||
\(850\) | −1.15439 | + | 0.436278i | −0.0395952 | + | 0.0149642i | ||||
\(851\) | 15.8890 | + | 29.7263i | 0.544668 | + | 1.01900i | ||||
\(852\) | −2.36195 | + | 3.82150i | −0.0809190 | + | 0.130922i | ||||
\(853\) | −1.73827 | − | 2.11808i | −0.0595171 | − | 0.0725218i | 0.742401 | − | 0.669956i | \(-0.233687\pi\) |
−0.801918 | + | 0.597434i | \(0.796187\pi\) | |||||||
\(854\) | 58.8916 | − | 3.94053i | 2.01523 | − | 0.134842i | ||||
\(855\) | −0.337722 | − | 0.225658i | −0.0115498 | − | 0.00771735i | ||||
\(856\) | −9.96273 | + | 4.17448i | −0.340519 | + | 0.142681i | ||||
\(857\) | −28.0372 | − | 41.9607i | −0.957734 | − | 1.43335i | −0.900434 | − | 0.434993i | \(-0.856751\pi\) |
−0.0573005 | − | 0.998357i | \(-0.518249\pi\) | |||||||
\(858\) | −14.1556 | − | 1.84400i | −0.483264 | − | 0.0629533i | ||||
\(859\) | 5.92972 | − | 11.0937i | 0.202320 | − | 0.378513i | −0.760215 | − | 0.649671i | \(-0.774907\pi\) |
0.962535 | + | 0.271158i | \(0.0874066\pi\) | |||||||
\(860\) | 1.84133 | − | 6.94758i | 0.0627887 | − | 0.236910i | ||||
\(861\) | 0.625152 | − | 0.0615721i | 0.0213051 | − | 0.00209837i | ||||
\(862\) | 1.36206 | − | 5.87776i | 0.0463921 | − | 0.200197i | ||||
\(863\) | −3.40807 | + | 3.40807i | −0.116012 | + | 0.116012i | −0.762730 | − | 0.646717i | \(-0.776141\pi\) |
0.646717 | + | 0.762730i | \(0.276141\pi\) | |||||||
\(864\) | −4.61779 | + | 9.52698i | −0.157100 | + | 0.324115i | ||||
\(865\) | −13.6502 | − | 13.6502i | −0.464120 | − | 0.464120i | ||||
\(866\) | −18.1308 | + | 11.3088i | −0.616111 | + | 0.384287i | ||||
\(867\) | −0.504949 | − | 5.12683i | −0.0171490 | − | 0.174116i | ||||
\(868\) | 13.4257 | − | 17.5957i | 0.455696 | − | 0.597237i | ||||
\(869\) | 64.3658 | + | 34.4042i | 2.18346 | + | 1.16708i | ||||
\(870\) | 2.75711 | − | 2.12158i | 0.0934747 | − | 0.0719282i | ||||
\(871\) | −54.8907 | + | 36.6768i | −1.85990 | + | 1.24274i | ||||
\(872\) | 50.6356 | − | 10.2873i | 1.71474 | − | 0.348373i | ||||
\(873\) | −4.63972 | + | 6.94383i | −0.157031 | + | 0.235013i | ||||
\(874\) | −1.38408 | − | 1.21048i | −0.0468173 | − | 0.0409450i | ||||
\(875\) | 2.15964 | − | 1.77237i | 0.0730092 | − | 0.0599171i | ||||
\(876\) | −1.82334 | − | 0.295933i | −0.0616048 | − | 0.00999866i | ||||
\(877\) | 12.8405 | − | 6.86337i | 0.433592 | − | 0.231760i | −0.240136 | − | 0.970739i | \(-0.577192\pi\) |
0.673728 | + | 0.738980i | \(0.264692\pi\) | |||||||
\(878\) | 10.0745 | − | 22.3156i | 0.339997 | − | 0.753116i | ||||
\(879\) | −2.88120 | − | 6.95583i | −0.0971804 | − | 0.234614i | ||||
\(880\) | −15.6189 | + | 18.0070i | −0.526514 | + | 0.607015i | ||||
\(881\) | −11.1527 | + | 26.9249i | −0.375743 | + | 0.907123i | 0.617011 | + | 0.786955i | \(0.288343\pi\) |
−0.992754 | + | 0.120168i | \(0.961657\pi\) | |||||||
\(882\) | 2.26062 | + | 2.40706i | 0.0761189 | + | 0.0810498i | ||||
\(883\) | 1.12954 | − | 3.72359i | 0.0380120 | − | 0.125309i | −0.935881 | − | 0.352316i | \(-0.885394\pi\) |
0.973893 | + | 0.227007i | \(0.0728942\pi\) | |||||||
\(884\) | −3.86882 | − | 8.47715i | −0.130122 | − | 0.285117i | ||||
\(885\) | −3.95584 | − | 0.389616i | −0.132974 | − | 0.0130968i | ||||
\(886\) | −27.4177 | − | 9.26541i | −0.921115 | − | 0.311278i | ||||
\(887\) | 6.99711 | + | 35.1768i | 0.234940 | + | 1.18112i | 0.900526 | + | 0.434802i | \(0.143182\pi\) |
−0.665586 | + | 0.746321i | \(0.731818\pi\) | |||||||
\(888\) | −0.332672 | − | 3.24181i | −0.0111637 | − | 0.108788i | ||||
\(889\) | −8.36235 | − | 1.66337i | −0.280464 | − | 0.0557878i | ||||
\(890\) | −11.9462 | + | 3.21843i | −0.400438 | + | 0.107882i | ||||
\(891\) | 46.2160 | − | 14.0195i | 1.54829 | − | 0.469670i | ||||
\(892\) | 11.5571 | + | 5.66025i | 0.386961 | + | 0.189519i | ||||
\(893\) | −0.888690 | + | 1.08287i | −0.0297389 | + | 0.0362369i | ||||
\(894\) | −4.58615 | − | 3.27694i | −0.153384 | − | 0.109597i | ||||
\(895\) | 3.40771 | 0.113907 | ||||||||
\(896\) | −31.1356 | + | 5.44598i | −1.04017 | + | 0.181937i | ||||
\(897\) | 15.7205 | 0.524894 | ||||||||
\(898\) | 0.149969 | + | 0.107158i | 0.00500455 | + | 0.00357590i | ||||
\(899\) | −19.4847 | + | 23.7422i | −0.649852 | + | 0.791847i | ||||
\(900\) | 2.55052 | − | 5.20767i | 0.0850175 | − | 0.173589i | ||||
\(901\) | 2.57473 | − | 0.781036i | 0.0857767 | − | 0.0260201i | ||||
\(902\) | 5.76737 | − | 1.55379i | 0.192032 | − | 0.0517354i | ||||
\(903\) | 3.12402 | + | 0.621406i | 0.103961 | + | 0.0206791i | ||||
\(904\) | −7.66852 | + | 9.42238i | −0.255051 | + | 0.313384i | ||||
\(905\) | 2.36027 | + | 11.8659i | 0.0784579 | + | 0.394434i | ||||
\(906\) | −8.33720 | − | 2.81744i | −0.276985 | − | 0.0936031i | ||||
\(907\) | 11.9968 | + | 1.18158i | 0.398346 | + | 0.0392337i | 0.295207 | − | 0.955433i | \(-0.404611\pi\) |
0.103139 | + | 0.994667i | \(0.467111\pi\) | |||||||
\(908\) | −6.04526 | + | 2.75895i | −0.200619 | + | 0.0915589i | ||||
\(909\) | −0.535834 | + | 1.76641i | −0.0177725 | + | 0.0585881i | ||||
\(910\) | 14.4416 | + | 15.3771i | 0.478734 | + | 0.509746i | ||||
\(911\) | −12.0993 | + | 29.2102i | −0.400867 | + | 0.967778i | 0.586590 | + | 0.809884i | \(0.300470\pi\) |
−0.987456 | + | 0.157893i | \(0.949530\pi\) | |||||||
\(912\) | 0.0794954 | + | 0.159011i | 0.00263236 | + | 0.00526537i | ||||
\(913\) | 11.1981 | + | 27.0345i | 0.370602 | + | 0.894712i | ||||
\(914\) | −2.50352 | + | 5.54547i | −0.0828090 | + | 0.183428i | ||||
\(915\) | 4.17966 | − | 2.23408i | 0.138175 | − | 0.0738563i | ||||
\(916\) | −6.68171 | + | 41.1681i | −0.220770 | + | 1.36023i | ||||
\(917\) | −3.21966 | + | 2.64230i | −0.106322 | + | 0.0872565i | ||||
\(918\) | −1.73856 | − | 1.52049i | −0.0573811 | − | 0.0501837i | ||||
\(919\) | 0.369829 | − | 0.553489i | 0.0121995 | − | 0.0182579i | −0.825320 | − | 0.564666i | \(-0.809005\pi\) |
0.837519 | + | 0.546408i | \(0.184005\pi\) | |||||||
\(920\) | 14.4947 | − | 21.8859i | 0.477875 | − | 0.721556i | ||||
\(921\) | −4.78951 | + | 3.20024i | −0.157820 | + | 0.105452i | ||||
\(922\) | −10.6079 | + | 8.16274i | −0.349354 | + | 0.268825i | ||||
\(923\) | 33.3400 | + | 17.8206i | 1.09740 | + | 0.586573i | ||||
\(924\) | −8.39825 | − | 6.40793i | −0.276282 | − | 0.210805i | ||||
\(925\) | 0.355976 | + | 3.61428i | 0.0117044 | + | 0.118837i | ||||
\(926\) | −26.6338 | + | 16.6123i | −0.875241 | + | 0.545915i | ||||
\(927\) | 6.59095 | + | 6.59095i | 0.216475 | + | 0.216475i | ||||
\(928\) | 43.4482 | − | 6.02138i | 1.42626 | − | 0.197662i | ||||
\(929\) | −23.5581 | + | 23.5581i | −0.772916 | + | 0.772916i | −0.978615 | − | 0.205699i | \(-0.934053\pi\) |
0.205699 | + | 0.978615i | \(0.434053\pi\) | |||||||
\(930\) | 0.401189 | − | 1.73127i | 0.0131555 | − | 0.0567705i | ||||
\(931\) | 0.112279 | − | 0.0110585i | 0.00367979 | − | 0.000362428i | ||||
\(932\) | −28.1285 | − | 7.45493i | −0.921379 | − | 0.244194i | ||||
\(933\) | −0.994792 | + | 1.86113i | −0.0325680 | + | 0.0609305i | ||||
\(934\) | −51.4463 | − | 6.70176i | −1.68337 | − | 0.219288i | ||||
\(935\) | −2.88907 | − | 4.32380i | −0.0944828 | − | 0.141404i | ||||
\(936\) | 40.5199 | + | 16.5902i | 1.32444 | + | 0.542269i | ||||
\(937\) | −7.24243 | − | 4.83924i | −0.236600 | − | 0.158091i | 0.431618 | − | 0.902056i | \(-0.357943\pi\) |
−0.668218 | + | 0.743965i | \(0.732943\pi\) | |||||||
\(938\) | −48.7435 | + | 3.26151i | −1.59153 | + | 0.106492i | ||||
\(939\) | 3.00764 | + | 3.66482i | 0.0981505 | + | 0.119597i | ||||
\(940\) | −17.0120 | − | 10.5146i | −0.554870 | − | 0.342947i | ||||
\(941\) | 13.9166 | + | 26.0362i | 0.453670 | + | 0.848756i | 0.999938 | + | 0.0111458i | \(0.00354789\pi\) |
−0.546268 | + | 0.837610i | \(0.683952\pi\) | |||||||
\(942\) | 7.33345 | − | 2.77153i | 0.238937 | − | 0.0903012i | ||||
\(943\) | −6.07707 | + | 2.51720i | −0.197897 | + | 0.0819714i | ||||
\(944\) | −40.8969 | − | 28.9703i | −1.33108 | − | 0.942904i | ||||
\(945\) | 4.83075 | + | 2.00096i | 0.157144 | + | 0.0650914i | ||||
\(946\) | 30.2717 | + | 0.949716i | 0.984219 | + | 0.0308779i | ||||
\(947\) | −26.5391 | − | 8.05055i | −0.862405 | − | 0.261608i | −0.172059 | − | 0.985087i | \(-0.555042\pi\) |
−0.690346 | + | 0.723479i | \(0.742542\pi\) | |||||||
\(948\) | 5.68604 | + | 5.29655i | 0.184674 | + | 0.172024i | ||||
\(949\) | −1.52357 | + | 15.4691i | −0.0494571 | + | 0.502147i | ||||
\(950\) | −0.0878678 | − | 0.177568i | −0.00285081 | − | 0.00576107i | ||||
\(951\) | 5.58488 | − | 1.11090i | 0.181102 | − | 0.0360234i | ||||
\(952\) | 0.647834 | − | 6.86506i | 0.0209964 | − | 0.222498i | ||||
\(953\) | 2.40018 | − | 12.0665i | 0.0777495 | − | 0.390873i | −0.922241 | − | 0.386614i | \(-0.873644\pi\) |
0.999991 | − | 0.00425871i | \(-0.00135559\pi\) | |||||||
\(954\) | −6.30636 | + | 10.9574i | −0.204176 | + | 0.354758i | ||||
\(955\) | 2.47469 | + | 8.15796i | 0.0800791 | + | 0.263985i | ||||
\(956\) | −24.9985 | + | 22.0439i | −0.808510 | + | 0.712950i | ||||
\(957\) | 11.3319 | + | 9.29986i | 0.366309 | + | 0.300622i | ||||
\(958\) | 7.93393 | + | 47.6512i | 0.256334 | + | 1.53954i | ||||
\(959\) | − | 13.5771i | − | 0.438428i | ||||||
\(960\) | −2.09866 | + | 1.42723i | −0.0677340 | + | 0.0460636i | ||||
\(961\) | − | 15.3102i | − | 0.493878i | ||||||
\(962\) | −27.0503 | + | 4.50388i | −0.872136 | + | 0.145211i | ||||
\(963\) | 8.55941 | + | 7.02453i | 0.275823 | + | 0.226362i | ||||
\(964\) | −33.4981 | − | 2.10394i | −1.07890 | − | 0.0677634i | ||||
\(965\) | 0.0794115 | + | 0.261785i | 0.00255635 | + | 0.00842714i | ||||
\(966\) | 10.0826 | + | 5.80291i | 0.324403 | + | 0.186706i | ||||
\(967\) | −6.51323 | + | 32.7442i | −0.209451 | + | 1.05298i | 0.722769 | + | 0.691090i | \(0.242869\pi\) |
−0.932220 | + | 0.361892i | \(0.882131\pi\) | |||||||
\(968\) | −61.2786 | − | 32.4328i | −1.96957 | − | 1.04243i | ||||
\(969\) | −0.0380375 | + | 0.00756614i | −0.00122194 | + | 0.000243059i | ||||
\(970\) | −3.65094 | + | 1.80663i | −0.117225 | + | 0.0580075i | ||||
\(971\) | 0.616463 | − | 6.25906i | 0.0197832 | − | 0.200863i | −0.980213 | − | 0.197948i | \(-0.936572\pi\) |
0.999996 | − | 0.00291457i | \(-0.000927739\pi\) | |||||||
\(972\) | 16.3612 | − | 0.580237i | 0.524786 | − | 0.0186111i | ||||
\(973\) | 32.2432 | + | 9.78088i | 1.03367 | + | 0.313561i | ||||
\(974\) | −0.684287 | + | 21.8113i | −0.0219260 | + | 0.698879i | ||||
\(975\) | 1.56491 | + | 0.648209i | 0.0501174 | + | 0.0207593i | ||||
\(976\) | 59.7325 | + | 1.62968i | 1.91199 | + | 0.0521648i | ||||
\(977\) | −21.7768 | + | 9.02026i | −0.696703 | + | 0.288584i | −0.702790 | − | 0.711398i | \(-0.748063\pi\) |
0.00608672 | + | 0.999981i | \(0.498063\pi\) | |||||||
\(978\) | 3.08538 | + | 8.16392i | 0.0986597 | + | 0.261053i | ||||
\(979\) | −24.5759 | − | 45.9782i | −0.785448 | − | 1.46947i | ||||
\(980\) | 0.370022 | + | 1.56761i | 0.0118199 | + | 0.0500756i | ||||
\(981\) | −33.6011 | − | 40.9430i | −1.07280 | − | 1.30721i | ||||
\(982\) | 0.415018 | + | 6.20248i | 0.0132437 | + | 0.197929i | ||||
\(983\) | 22.2202 | + | 14.8470i | 0.708713 | + | 0.473547i | 0.856946 | − | 0.515406i | \(-0.172359\pi\) |
−0.148233 | + | 0.988952i | \(0.547359\pi\) | |||||||
\(984\) | 0.635956 | − | 0.00259887i | 0.0202735 | − | 8.28489e-5i | ||||
\(985\) | 0.834913 | + | 1.24954i | 0.0266025 | + | 0.0398135i | ||||
\(986\) | −1.23609 | + | 9.48892i | −0.0393652 | + | 0.302189i | ||||
\(987\) | 4.17794 | − | 7.81637i | 0.132985 | − | 0.248798i | ||||
\(988\) | 1.29349 | − | 0.751503i | 0.0411514 | − | 0.0239085i | ||||
\(989\) | −33.1925 | + | 3.26918i | −1.05546 | + | 0.103954i | ||||
\(990\) | 23.8040 | + | 5.51613i | 0.756540 | + | 0.175314i | ||||
\(991\) | 21.7627 | − | 21.7627i | 0.691315 | − | 0.691315i | −0.271206 | − | 0.962521i | \(-0.587422\pi\) |
0.962521 | + | 0.271206i | \(0.0874224\pi\) | |||||||
\(992\) | 15.2055 | − | 16.4580i | 0.482775 | − | 0.522542i | ||||
\(993\) | −0.195310 | − | 0.195310i | −0.00619799 | − | 0.00619799i | ||||
\(994\) | 14.8051 | + | 23.7363i | 0.469589 | + | 0.752871i | ||||
\(995\) | 0.292839 | + | 2.97324i | 0.00928362 | + | 0.0942582i | ||||
\(996\) | 0.415080 | + | 3.08782i | 0.0131523 | + | 0.0978413i | ||||
\(997\) | −5.36565 | − | 2.86800i | −0.169932 | − | 0.0908304i | 0.384238 | − | 0.923234i | \(-0.374464\pi\) |
−0.554170 | + | 0.832404i | \(0.686964\pi\) | |||||||
\(998\) | 35.0412 | + | 45.5380i | 1.10921 | + | 1.44148i | ||||
\(999\) | −5.65156 | + | 3.77625i | −0.178807 | + | 0.119475i |
(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 | 640.2.bm.a.341.45 | ✓ | 1024 | |
128.125 | even | 32 | inner | 640.2.bm.a.381.45 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
640.2.bm.a.341.45 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
640.2.bm.a.381.45 | yes | 1024 | 128.125 | even | 32 | inner |