Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (of order \(12\), degree \(4\), 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: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 137.6 | ||
Character | \(\chi\) | \(=\) | 234.137 |
Dual form | 234.2.z.a.41.6 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | 1.60665 | + | 0.647043i | 0.927602 | + | 0.373570i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 2.84756 | + | 0.763001i | 1.27347 | + | 0.341224i | 0.831358 | − | 0.555737i | \(-0.187564\pi\) |
0.442109 | + | 0.896962i | \(0.354231\pi\) | |||||||
\(6\) | −1.38444 | − | 1.04083i | −0.565196 | − | 0.424916i | ||||
\(7\) | −1.37958 | + | 1.37958i | −0.521433 | + | 0.521433i | −0.918004 | − | 0.396571i | \(-0.870200\pi\) |
0.396571 | + | 0.918004i | \(0.370200\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.16267 | + | 2.07915i | 0.720891 | + | 0.693049i | ||||
\(10\) | −2.55305 | − | 1.47400i | −0.807345 | − | 0.466121i | ||||
\(11\) | 0.207457 | − | 0.774238i | 0.0625505 | − | 0.233442i | −0.927572 | − | 0.373643i | \(-0.878108\pi\) |
0.990123 | + | 0.140202i | \(0.0447751\pi\) | |||||||
\(12\) | 1.06788 | + | 1.36368i | 0.308271 | + | 0.393661i | ||||
\(13\) | −3.58657 | + | 0.369493i | −0.994735 | + | 0.102479i | ||||
\(14\) | 1.68964 | − | 0.975511i | 0.451574 | − | 0.260716i | ||||
\(15\) | 4.08135 | + | 3.06837i | 1.05380 | + | 0.792250i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −4.02058 | − | 6.96385i | −0.975135 | − | 1.68898i | −0.679490 | − | 0.733685i | \(-0.737799\pi\) |
−0.295645 | − | 0.955298i | \(-0.595535\pi\) | |||||||
\(18\) | −1.55086 | − | 2.56804i | −0.365541 | − | 0.605293i | ||||
\(19\) | −1.18319 | + | 4.41574i | −0.271443 | + | 1.01304i | 0.686744 | + | 0.726899i | \(0.259039\pi\) |
−0.958188 | + | 0.286141i | \(0.907627\pi\) | |||||||
\(20\) | 2.08456 | + | 2.08456i | 0.466121 | + | 0.466121i | ||||
\(21\) | −3.10916 | + | 1.32386i | −0.678474 | + | 0.288890i | ||||
\(22\) | −0.400775 | + | 0.694163i | −0.0854456 | + | 0.147996i | ||||
\(23\) | 6.99376 | 1.45830 | 0.729150 | − | 0.684354i | \(-0.239916\pi\) | ||||
0.729150 | + | 0.684354i | \(0.239916\pi\) | |||||||
\(24\) | −0.678548 | − | 1.59360i | −0.138508 | − | 0.325293i | ||||
\(25\) | 3.19629 | + | 1.84538i | 0.639258 | + | 0.369076i | ||||
\(26\) | 3.55999 | + | 0.571370i | 0.698172 | + | 0.112055i | ||||
\(27\) | 2.12937 | + | 4.73981i | 0.409797 | + | 0.912177i | ||||
\(28\) | −1.88454 | + | 0.504962i | −0.356145 | + | 0.0954288i | ||||
\(29\) | 6.82146 | − | 3.93837i | 1.26671 | − | 0.731337i | 0.292348 | − | 0.956312i | \(-0.405563\pi\) |
0.974365 | + | 0.224975i | \(0.0722300\pi\) | |||||||
\(30\) | −3.14812 | − | 4.02015i | −0.574766 | − | 0.733975i | ||||
\(31\) | 0.619046 | − | 2.31031i | 0.111184 | − | 0.414944i | −0.887789 | − | 0.460250i | \(-0.847760\pi\) |
0.998973 | + | 0.0453062i | \(0.0144263\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 0.834276 | − | 1.10970i | 0.145229 | − | 0.193174i | ||||
\(34\) | 2.08121 | + | 7.76717i | 0.356924 | + | 1.33206i | ||||
\(35\) | −4.98106 | + | 2.87582i | −0.841953 | + | 0.486102i | ||||
\(36\) | 0.833356 | + | 2.88193i | 0.138893 | + | 0.480322i | ||||
\(37\) | −2.09658 | − | 7.82455i | −0.344676 | − | 1.28635i | −0.892990 | − | 0.450076i | \(-0.851397\pi\) |
0.548314 | − | 0.836272i | \(-0.315270\pi\) | |||||||
\(38\) | 2.28576 | − | 3.95904i | 0.370798 | − | 0.642242i | ||||
\(39\) | −6.00145 | − | 1.72702i | −0.961001 | − | 0.276544i | ||||
\(40\) | −1.47400 | − | 2.55305i | −0.233061 | − | 0.403673i | ||||
\(41\) | −3.66359 | + | 3.66359i | −0.572156 | + | 0.572156i | −0.932730 | − | 0.360574i | \(-0.882581\pi\) |
0.360574 | + | 0.932730i | \(0.382581\pi\) | |||||||
\(42\) | 3.34586 | − | 0.474043i | 0.516277 | − | 0.0731464i | ||||
\(43\) | − | 2.33382i | − | 0.355904i | −0.984039 | − | 0.177952i | \(-0.943053\pi\) | ||
0.984039 | − | 0.177952i | \(-0.0569471\pi\) | |||||||
\(44\) | 0.566782 | − | 0.566782i | 0.0854456 | − | 0.0854456i | ||||
\(45\) | 4.57194 | + | 7.57061i | 0.681545 | + | 1.12856i | ||||
\(46\) | −6.75546 | − | 1.81012i | −0.996038 | − | 0.266887i | ||||
\(47\) | −5.14869 | + | 1.37959i | −0.751013 | + | 0.201233i | −0.613968 | − | 0.789331i | \(-0.710427\pi\) |
−0.137046 | + | 0.990565i | \(0.543761\pi\) | |||||||
\(48\) | 0.242972 | + | 1.71492i | 0.0350699 | + | 0.247528i | ||||
\(49\) | 3.19351i | 0.456216i | ||||||||
\(50\) | −2.60976 | − | 2.60976i | −0.369076 | − | 0.369076i | ||||
\(51\) | −1.95377 | − | 13.7900i | −0.273583 | − | 1.93099i | ||||
\(52\) | −3.29081 | − | 1.47329i | −0.456353 | − | 0.204309i | ||||
\(53\) | − | 8.27924i | − | 1.13724i | −0.822600 | − | 0.568620i | \(-0.807477\pi\) | ||
0.822600 | − | 0.568620i | \(-0.192523\pi\) | |||||||
\(54\) | −0.830059 | − | 5.12943i | −0.112957 | − | 0.698026i | ||||
\(55\) | 1.18149 | − | 2.04640i | 0.159312 | − | 0.275936i | ||||
\(56\) | 1.95102 | 0.260716 | ||||||||
\(57\) | −4.75815 | + | 6.32899i | −0.630233 | + | 0.838295i | ||||
\(58\) | −7.60835 | + | 2.03865i | −0.999025 | + | 0.267688i | ||||
\(59\) | −8.52709 | + | 2.28483i | −1.11013 | + | 0.297459i | −0.766884 | − | 0.641786i | \(-0.778194\pi\) |
−0.343248 | + | 0.939245i | \(0.611527\pi\) | |||||||
\(60\) | 2.00036 | + | 4.69796i | 0.258246 | + | 0.606504i | ||||
\(61\) | −4.93917 | −0.632396 | −0.316198 | − | 0.948693i | \(-0.602406\pi\) | ||||
−0.316198 | + | 0.948693i | \(0.602406\pi\) | |||||||
\(62\) | −1.19590 | + | 2.07137i | −0.151880 | + | 0.263064i | ||||
\(63\) | −5.85193 | + | 0.115230i | −0.737274 | + | 0.0145176i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −10.4949 | − | 1.68440i | −1.30173 | − | 0.208924i | ||||
\(66\) | −1.09306 | + | 0.855961i | −0.134546 | + | 0.105362i | ||||
\(67\) | 0.549015 | + | 0.549015i | 0.0670729 | + | 0.0670729i | 0.739847 | − | 0.672775i | \(-0.234898\pi\) |
−0.672775 | + | 0.739847i | \(0.734898\pi\) | |||||||
\(68\) | − | 8.04117i | − | 0.975135i | ||||||
\(69\) | 11.2366 | + | 4.52526i | 1.35272 | + | 0.544777i | ||||
\(70\) | 5.55565 | − | 1.48863i | 0.664027 | − | 0.177926i | ||||
\(71\) | −2.57304 | − | 0.689443i | −0.305363 | − | 0.0818218i | 0.102884 | − | 0.994693i | \(-0.467193\pi\) |
−0.408247 | + | 0.912872i | \(0.633860\pi\) | |||||||
\(72\) | −0.0590613 | − | 2.99942i | −0.00696045 | − | 0.353485i | ||||
\(73\) | 5.68293 | − | 5.68293i | 0.665137 | − | 0.665137i | −0.291449 | − | 0.956586i | \(-0.594137\pi\) |
0.956586 | + | 0.291449i | \(0.0941375\pi\) | |||||||
\(74\) | 8.10057i | 0.941672i | ||||||||
\(75\) | 3.94129 | + | 5.03302i | 0.455101 | + | 0.581163i | ||||
\(76\) | −3.23255 | + | 3.23255i | −0.370798 | + | 0.370798i | ||||
\(77\) | 0.781921 | + | 1.35433i | 0.0891082 | + | 0.154340i | ||||
\(78\) | 5.34997 | + | 3.22146i | 0.605765 | + | 0.364758i | ||||
\(79\) | 0.554497 | − | 0.960416i | 0.0623857 | − | 0.108055i | −0.833146 | − | 0.553054i | \(-0.813462\pi\) |
0.895531 | + | 0.444998i | \(0.146796\pi\) | |||||||
\(80\) | 0.763001 | + | 2.84756i | 0.0853061 | + | 0.318367i | ||||
\(81\) | 0.354299 | + | 8.99302i | 0.0393666 | + | 0.999225i | ||||
\(82\) | 4.48696 | − | 2.59055i | 0.495502 | − | 0.286078i | ||||
\(83\) | 0.614312 | + | 2.29264i | 0.0674295 | + | 0.251650i | 0.991410 | − | 0.130789i | \(-0.0417509\pi\) |
−0.923981 | + | 0.382439i | \(0.875084\pi\) | |||||||
\(84\) | −3.35454 | − | 0.408081i | −0.366010 | − | 0.0445253i | ||||
\(85\) | −6.13542 | − | 22.8977i | −0.665479 | − | 2.48360i | ||||
\(86\) | −0.604036 | + | 2.25429i | −0.0651349 | + | 0.243087i | ||||
\(87\) | 13.5080 | − | 1.91382i | 1.44821 | − | 0.205183i | ||||
\(88\) | −0.694163 | + | 0.400775i | −0.0739980 | + | 0.0427228i | ||||
\(89\) | −2.84070 | + | 0.761164i | −0.301114 | + | 0.0806832i | −0.406213 | − | 0.913779i | \(-0.633151\pi\) |
0.105099 | + | 0.994462i | \(0.466484\pi\) | |||||||
\(90\) | −2.45674 | − | 8.49595i | −0.258963 | − | 0.895552i | ||||
\(91\) | 4.43822 | − | 5.45771i | 0.465252 | − | 0.572123i | ||||
\(92\) | 6.05678 | + | 3.49688i | 0.631463 | + | 0.364575i | ||||
\(93\) | 2.48946 | − | 3.31132i | 0.258145 | − | 0.343368i | ||||
\(94\) | 5.33031 | 0.549780 | ||||||||
\(95\) | −6.73843 | + | 11.6713i | −0.691348 | + | 1.19745i | ||||
\(96\) | 0.209163 | − | 1.71938i | 0.0213476 | − | 0.175483i | ||||
\(97\) | 2.59780 | + | 2.59780i | 0.263767 | + | 0.263767i | 0.826582 | − | 0.562816i | \(-0.190282\pi\) |
−0.562816 | + | 0.826582i | \(0.690282\pi\) | |||||||
\(98\) | 0.826542 | − | 3.08469i | 0.0834933 | − | 0.311601i | ||||
\(99\) | 2.05842 | − | 1.24309i | 0.206878 | − | 0.124935i | ||||
\(100\) | 1.84538 | + | 3.19629i | 0.184538 | + | 0.319629i | ||||
\(101\) | −6.82190 | − | 11.8159i | −0.678804 | − | 1.17572i | −0.975341 | − | 0.220702i | \(-0.929165\pi\) |
0.296537 | − | 0.955021i | \(-0.404168\pi\) | |||||||
\(102\) | −1.68191 | + | 13.8258i | −0.166534 | + | 1.36896i | ||||
\(103\) | −11.6669 | + | 6.73592i | −1.14958 | + | 0.663710i | −0.948785 | − | 0.315924i | \(-0.897686\pi\) |
−0.200794 | + | 0.979633i | \(0.564352\pi\) | |||||||
\(104\) | 2.79736 | + | 2.27482i | 0.274304 | + | 0.223064i | ||||
\(105\) | −9.86361 | + | 1.39748i | −0.962590 | + | 0.136380i | ||||
\(106\) | −2.14282 | + | 7.99713i | −0.208129 | + | 0.776750i | ||||
\(107\) | 16.0522 | + | 9.26775i | 1.55183 | + | 0.895947i | 0.997993 | + | 0.0633192i | \(0.0201686\pi\) |
0.553833 | + | 0.832628i | \(0.313165\pi\) | |||||||
\(108\) | −0.525817 | + | 5.16948i | −0.0505968 | + | 0.497433i | ||||
\(109\) | 4.23071 | + | 4.23071i | 0.405229 | + | 0.405229i | 0.880071 | − | 0.474842i | \(-0.157495\pi\) |
−0.474842 | + | 0.880071i | \(0.657495\pi\) | |||||||
\(110\) | −1.67088 | + | 1.67088i | −0.159312 | + | 0.159312i | ||||
\(111\) | 1.69434 | − | 13.9279i | 0.160819 | − | 1.32198i | ||||
\(112\) | −1.88454 | − | 0.504962i | −0.178073 | − | 0.0477144i | ||||
\(113\) | −5.17811 | − | 2.98958i | −0.487116 | − | 0.281236i | 0.236261 | − | 0.971690i | \(-0.424078\pi\) |
−0.723377 | + | 0.690453i | \(0.757411\pi\) | |||||||
\(114\) | 6.23409 | − | 4.88183i | 0.583876 | − | 0.457225i | ||||
\(115\) | 19.9151 | + | 5.33625i | 1.85710 | + | 0.497608i | ||||
\(116\) | 7.87674 | 0.731337 | ||||||||
\(117\) | −8.52480 | − | 6.65791i | −0.788118 | − | 0.615524i | ||||
\(118\) | 8.82789 | 0.812673 | ||||||||
\(119\) | 15.1539 | + | 4.06048i | 1.38916 | + | 0.372224i | ||||
\(120\) | −0.716282 | − | 5.05561i | −0.0653873 | − | 0.461512i | ||||
\(121\) | 8.96987 | + | 5.17876i | 0.815443 | + | 0.470796i | ||||
\(122\) | 4.77087 | + | 1.27835i | 0.431935 | + | 0.115737i | ||||
\(123\) | −8.25661 | + | 3.51562i | −0.744474 | + | 0.316993i | ||||
\(124\) | 1.69127 | − | 1.69127i | 0.151880 | − | 0.151880i | ||||
\(125\) | −2.72919 | − | 2.72919i | −0.244106 | − | 0.244106i | ||||
\(126\) | 5.68236 | + | 1.40329i | 0.506225 | + | 0.125015i | ||||
\(127\) | 1.93815 | + | 1.11899i | 0.171983 | + | 0.0992946i | 0.583521 | − | 0.812098i | \(-0.301675\pi\) |
−0.411537 | + | 0.911393i | \(0.635008\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 1.51008 | − | 3.74963i | 0.132955 | − | 0.330137i | ||||
\(130\) | 9.70133 | + | 4.34328i | 0.850863 | + | 0.380931i | ||||
\(131\) | 7.37842 | − | 4.25993i | 0.644656 | − | 0.372192i | −0.141750 | − | 0.989903i | \(-0.545273\pi\) |
0.786406 | + | 0.617710i | \(0.211940\pi\) | |||||||
\(132\) | 1.27735 | − | 0.543890i | 0.111179 | − | 0.0473395i | ||||
\(133\) | −4.45956 | − | 7.72418i | −0.386693 | − | 0.669772i | ||||
\(134\) | −0.388212 | − | 0.672403i | −0.0335364 | − | 0.0580868i | ||||
\(135\) | 2.44702 | + | 15.1216i | 0.210606 | + | 1.30146i | ||||
\(136\) | −2.08121 | + | 7.76717i | −0.178462 | + | 0.666029i | ||||
\(137\) | 8.21858 | + | 8.21858i | 0.702161 | + | 0.702161i | 0.964874 | − | 0.262713i | \(-0.0846173\pi\) |
−0.262713 | + | 0.964874i | \(0.584617\pi\) | |||||||
\(138\) | −9.68245 | − | 7.27930i | −0.824225 | − | 0.619655i | ||||
\(139\) | −11.4143 | + | 19.7701i | −0.968147 | + | 1.67688i | −0.267238 | + | 0.963631i | \(0.586111\pi\) |
−0.700910 | + | 0.713250i | \(0.747222\pi\) | |||||||
\(140\) | −5.75163 | −0.486102 | ||||||||
\(141\) | −9.16481 | − | 1.11490i | −0.771816 | − | 0.0938917i | ||||
\(142\) | 2.30692 | + | 1.33190i | 0.193593 | + | 0.111771i | ||||
\(143\) | −0.457981 | + | 2.85351i | −0.0382983 | + | 0.238623i | ||||
\(144\) | −0.719258 | + | 2.91250i | −0.0599381 | + | 0.242709i | ||||
\(145\) | 22.4295 | − | 6.00996i | 1.86267 | − | 0.499100i | ||||
\(146\) | −6.96014 | + | 4.01844i | −0.576026 | + | 0.332568i | ||||
\(147\) | −2.06634 | + | 5.13087i | −0.170429 | + | 0.423187i | ||||
\(148\) | 2.09658 | − | 7.82455i | 0.172338 | − | 0.643174i | ||||
\(149\) | 2.01425 | + | 7.51729i | 0.165014 | + | 0.615840i | 0.998038 | + | 0.0626041i | \(0.0199405\pi\) |
−0.833025 | + | 0.553236i | \(0.813393\pi\) | |||||||
\(150\) | −2.50435 | − | 5.88160i | −0.204480 | − | 0.480231i | ||||
\(151\) | 2.05706 | + | 7.67704i | 0.167401 | + | 0.624748i | 0.997722 | + | 0.0674629i | \(0.0214904\pi\) |
−0.830321 | + | 0.557285i | \(0.811843\pi\) | |||||||
\(152\) | 3.95904 | − | 2.28576i | 0.321121 | − | 0.185399i | ||||
\(153\) | 5.78367 | − | 23.4199i | 0.467582 | − | 1.89339i | ||||
\(154\) | −0.404752 | − | 1.51056i | −0.0326159 | − | 0.121724i | ||||
\(155\) | 3.52554 | − | 6.10641i | 0.283178 | − | 0.490479i | ||||
\(156\) | −4.33390 | − | 4.49636i | −0.346990 | − | 0.359997i | ||||
\(157\) | 1.97021 | + | 3.41251i | 0.157240 | + | 0.272348i | 0.933872 | − | 0.357606i | \(-0.116407\pi\) |
−0.776632 | + | 0.629954i | \(0.783074\pi\) | |||||||
\(158\) | −0.784177 | + | 0.784177i | −0.0623857 | + | 0.0623857i | ||||
\(159\) | 5.35702 | − | 13.3019i | 0.424839 | − | 1.05491i | ||||
\(160\) | − | 2.94801i | − | 0.233061i | ||||||
\(161\) | −9.64846 | + | 9.64846i | −0.760405 | + | 0.760405i | ||||
\(162\) | 1.98534 | − | 8.77829i | 0.155983 | − | 0.689688i | ||||
\(163\) | −19.9290 | − | 5.33996i | −1.56096 | − | 0.418258i | −0.627992 | − | 0.778220i | \(-0.716123\pi\) |
−0.932967 | + | 0.359962i | \(0.882790\pi\) | |||||||
\(164\) | −5.00455 | + | 1.34097i | −0.390790 | + | 0.104712i | ||||
\(165\) | 3.22235 | − | 2.52338i | 0.250860 | − | 0.196445i | ||||
\(166\) | − | 2.37352i | − | 0.184221i | ||||||
\(167\) | −3.99041 | − | 3.99041i | −0.308787 | − | 0.308787i | 0.535652 | − | 0.844439i | \(-0.320066\pi\) |
−0.844439 | + | 0.535652i | \(0.820066\pi\) | |||||||
\(168\) | 3.13462 | + | 1.26239i | 0.241841 | + | 0.0973959i | ||||
\(169\) | 12.7269 | − | 2.65042i | 0.978996 | − | 0.203879i | ||||
\(170\) | 23.7054i | 1.81812i | ||||||||
\(171\) | −11.7398 | + | 7.08976i | −0.897767 | + | 0.542168i | ||||
\(172\) | 1.16691 | − | 2.02114i | 0.0889759 | − | 0.154111i | ||||
\(173\) | −16.4329 | −1.24937 | −0.624687 | − | 0.780876i | \(-0.714773\pi\) | ||||
−0.624687 | + | 0.780876i | \(0.714773\pi\) | |||||||
\(174\) | −13.5431 | − | 1.64752i | −1.02670 | − | 0.124898i | ||||
\(175\) | −6.95539 | + | 1.86369i | −0.525778 | + | 0.140882i | ||||
\(176\) | 0.774238 | − | 0.207457i | 0.0583604 | − | 0.0156376i | ||||
\(177\) | −15.1785 | − | 1.84646i | −1.14088 | − | 0.138789i | ||||
\(178\) | 2.94091 | 0.220431 | ||||||||
\(179\) | −3.02863 | + | 5.24575i | −0.226371 | + | 0.392085i | −0.956730 | − | 0.290978i | \(-0.906019\pi\) |
0.730359 | + | 0.683063i | \(0.239353\pi\) | |||||||
\(180\) | 0.174113 | + | 8.84231i | 0.0129776 | + | 0.659067i | ||||
\(181\) | − | 12.2487i | − | 0.910436i | −0.890380 | − | 0.455218i | \(-0.849561\pi\) | ||
0.890380 | − | 0.455218i | \(-0.150439\pi\) | |||||||
\(182\) | −5.69955 | + | 4.12305i | −0.422479 | + | 0.305621i | ||||
\(183\) | −7.93554 | − | 3.19585i | −0.586612 | − | 0.236244i | ||||
\(184\) | −4.94534 | − | 4.94534i | −0.364575 | − | 0.364575i | ||||
\(185\) | − | 23.8806i | − | 1.75573i | ||||||
\(186\) | −3.26167 | + | 2.55417i | −0.239157 | + | 0.187281i | ||||
\(187\) | −6.22578 | + | 1.66819i | −0.455274 | + | 0.121990i | ||||
\(188\) | −5.14869 | − | 1.37959i | −0.375507 | − | 0.100617i | ||||
\(189\) | −9.47659 | − | 3.60132i | −0.689320 | − | 0.261957i | ||||
\(190\) | 9.52957 | − | 9.52957i | 0.691348 | − | 0.691348i | ||||
\(191\) | − | 0.420709i | − | 0.0304415i | −0.999884 | − | 0.0152207i | \(-0.995155\pi\) | ||
0.999884 | − | 0.0152207i | \(-0.00484510\pi\) | |||||||
\(192\) | −0.647043 | + | 1.60665i | −0.0466963 | + | 0.115950i | ||||
\(193\) | −9.60907 | + | 9.60907i | −0.691676 | + | 0.691676i | −0.962601 | − | 0.270924i | \(-0.912671\pi\) |
0.270924 | + | 0.962601i | \(0.412671\pi\) | |||||||
\(194\) | −1.83692 | − | 3.18164i | −0.131883 | − | 0.228429i | ||||
\(195\) | −15.7718 | − | 9.49689i | −1.12944 | − | 0.680086i | ||||
\(196\) | −1.59676 | + | 2.76566i | −0.114054 | + | 0.197547i | ||||
\(197\) | 0.239457 | + | 0.893667i | 0.0170606 | + | 0.0636712i | 0.973931 | − | 0.226843i | \(-0.0728404\pi\) |
−0.956871 | + | 0.290514i | \(0.906174\pi\) | |||||||
\(198\) | −2.31001 | + | 0.667976i | −0.164165 | + | 0.0474710i | ||||
\(199\) | 11.1074 | − | 6.41286i | 0.787382 | − | 0.454595i | −0.0516579 | − | 0.998665i | \(-0.516451\pi\) |
0.839040 | + | 0.544070i | \(0.183117\pi\) | |||||||
\(200\) | −0.955238 | − | 3.56500i | −0.0675455 | − | 0.252083i | ||||
\(201\) | 0.526841 | + | 1.23731i | 0.0371605 | + | 0.0872733i | ||||
\(202\) | 3.53128 | + | 13.1789i | 0.248460 | + | 0.927264i | ||||
\(203\) | −3.97745 | + | 14.8441i | −0.279162 | + | 1.04185i | ||||
\(204\) | 5.20298 | − | 12.9194i | 0.364281 | − | 0.904537i | ||||
\(205\) | −13.2276 | + | 7.63696i | −0.923855 | + | 0.533388i | ||||
\(206\) | 13.0128 | − | 3.48677i | 0.906644 | − | 0.242935i | ||||
\(207\) | 15.1252 | + | 14.5411i | 1.05127 | + | 1.01067i | ||||
\(208\) | −2.11327 | − | 2.92131i | −0.146529 | − | 0.202557i | ||||
\(209\) | 3.17337 | + | 1.83215i | 0.219507 | + | 0.126732i | ||||
\(210\) | 9.88921 | + | 1.20303i | 0.682421 | + | 0.0830167i | ||||
\(211\) | 6.84606 | 0.471302 | 0.235651 | − | 0.971838i | \(-0.424278\pi\) | ||||
0.235651 | + | 0.971838i | \(0.424278\pi\) | |||||||
\(212\) | 4.13962 | − | 7.17003i | 0.284310 | − | 0.492440i | ||||
\(213\) | −3.68788 | − | 2.77256i | −0.252689 | − | 0.189973i | ||||
\(214\) | −13.1066 | − | 13.1066i | −0.895947 | − | 0.895947i | ||||
\(215\) | 1.78070 | − | 6.64568i | 0.121443 | − | 0.453231i | ||||
\(216\) | 1.84586 | − | 4.85724i | 0.125595 | − | 0.330493i | ||||
\(217\) | 2.33324 | + | 4.04129i | 0.158390 | + | 0.274340i | ||||
\(218\) | −2.99156 | − | 5.18154i | −0.202614 | − | 0.350938i | ||||
\(219\) | 12.8076 | − | 5.45341i | 0.865458 | − | 0.368507i | ||||
\(220\) | 2.04640 | − | 1.18149i | 0.137968 | − | 0.0796560i | ||||
\(221\) | 16.9932 | + | 23.4908i | 1.14309 | + | 1.58016i | ||||
\(222\) | −5.24141 | + | 13.0148i | −0.351781 | + | 0.873497i | ||||
\(223\) | 4.57899 | − | 17.0890i | 0.306632 | − | 1.14436i | −0.624900 | − | 0.780705i | \(-0.714860\pi\) |
0.931532 | − | 0.363660i | \(-0.118473\pi\) | |||||||
\(224\) | 1.68964 | + | 0.975511i | 0.112893 | + | 0.0651791i | ||||
\(225\) | 3.07571 | + | 10.6365i | 0.205047 | + | 0.709100i | ||||
\(226\) | 4.22791 | + | 4.22791i | 0.281236 | + | 0.281236i | ||||
\(227\) | 13.6942 | − | 13.6942i | 0.908916 | − | 0.908916i | −0.0872689 | − | 0.996185i | \(-0.527814\pi\) |
0.996185 | + | 0.0872689i | \(0.0278139\pi\) | |||||||
\(228\) | −7.28518 | + | 3.10199i | −0.482473 | + | 0.205434i | ||||
\(229\) | 25.0861 | + | 6.72179i | 1.65773 | + | 0.444188i | 0.961763 | − | 0.273882i | \(-0.0883077\pi\) |
0.695971 | + | 0.718070i | \(0.254974\pi\) | |||||||
\(230\) | −17.8554 | − | 10.3088i | −1.17735 | − | 0.679745i | ||||
\(231\) | 0.379969 | + | 2.68187i | 0.0250001 | + | 0.176454i | ||||
\(232\) | −7.60835 | − | 2.03865i | −0.499512 | − | 0.133844i | ||||
\(233\) | −11.9090 | −0.780184 | −0.390092 | − | 0.920776i | \(-0.627557\pi\) | ||||
−0.390092 | + | 0.920776i | \(0.627557\pi\) | |||||||
\(234\) | 6.51113 | + | 8.63743i | 0.425646 | + | 0.564646i | ||||
\(235\) | −15.7138 | −1.02506 | ||||||||
\(236\) | −8.52709 | − | 2.28483i | −0.555066 | − | 0.148730i | ||||
\(237\) | 1.51231 | − | 1.18427i | 0.0982354 | − | 0.0769268i | ||||
\(238\) | −13.5866 | − | 7.84425i | −0.880691 | − | 0.508467i | ||||
\(239\) | 8.96480 | + | 2.40211i | 0.579885 | + | 0.155380i | 0.536826 | − | 0.843693i | \(-0.319623\pi\) |
0.0430587 | + | 0.999073i | \(0.486290\pi\) | |||||||
\(240\) | −0.616613 | + | 5.06873i | −0.0398022 | + | 0.327185i | ||||
\(241\) | −6.92428 | + | 6.92428i | −0.446032 | + | 0.446032i | −0.894033 | − | 0.448001i | \(-0.852136\pi\) |
0.448001 | + | 0.894033i | \(0.352136\pi\) | |||||||
\(242\) | −7.32387 | − | 7.32387i | −0.470796 | − | 0.470796i | ||||
\(243\) | −5.24963 | + | 14.6779i | −0.336764 | + | 0.941589i | ||||
\(244\) | −4.27745 | − | 2.46959i | −0.273836 | − | 0.158099i | ||||
\(245\) | −2.43665 | + | 9.09371i | −0.155672 | + | 0.580976i | ||||
\(246\) | 8.88518 | − | 1.25886i | 0.566499 | − | 0.0802619i | ||||
\(247\) | 2.61202 | − | 16.2745i | 0.166199 | − | 1.03552i | ||||
\(248\) | −2.07137 | + | 1.19590i | −0.131532 | + | 0.0759400i | ||||
\(249\) | −0.496451 | + | 4.08097i | −0.0314613 | + | 0.258621i | ||||
\(250\) | 1.92983 | + | 3.34257i | 0.122053 | + | 0.211402i | ||||
\(251\) | 7.05445 | + | 12.2187i | 0.445273 | + | 0.771235i | 0.998071 | − | 0.0620799i | \(-0.0197734\pi\) |
−0.552798 | + | 0.833315i | \(0.686440\pi\) | |||||||
\(252\) | −5.12554 | − | 2.82617i | −0.322879 | − | 0.178032i | ||||
\(253\) | 1.45090 | − | 5.41484i | 0.0912174 | − | 0.340428i | ||||
\(254\) | −1.58250 | − | 1.58250i | −0.0992946 | − | 0.0992946i | ||||
\(255\) | 4.95829 | − | 40.7585i | 0.310500 | − | 2.55240i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.11976 | −0.319362 | −0.159681 | − | 0.987169i | \(-0.551047\pi\) | ||||
−0.159681 | + | 0.987169i | \(0.551047\pi\) | |||||||
\(258\) | −2.42910 | + | 3.23103i | −0.151229 | + | 0.201155i | ||||
\(259\) | 13.6870 | + | 7.90220i | 0.850469 | + | 0.491019i | ||||
\(260\) | −8.24664 | − | 6.70618i | −0.511435 | − | 0.415900i | ||||
\(261\) | 22.9410 | + | 5.66541i | 1.42001 | + | 0.350680i | ||||
\(262\) | −8.22956 | + | 2.20510i | −0.508424 | + | 0.136232i | ||||
\(263\) | 12.4904 | − | 7.21136i | 0.770194 | − | 0.444671i | −0.0627501 | − | 0.998029i | \(-0.519987\pi\) |
0.832944 | + | 0.553358i | \(0.186654\pi\) | |||||||
\(264\) | −1.37460 | + | 0.194754i | −0.0846007 | + | 0.0119863i | ||||
\(265\) | 6.31706 | − | 23.5756i | 0.388054 | − | 1.44824i | ||||
\(266\) | 2.30844 | + | 8.61521i | 0.141539 | + | 0.528232i | ||||
\(267\) | −5.05653 | − | 0.615128i | −0.309455 | − | 0.0376452i | ||||
\(268\) | 0.200953 | + | 0.749969i | 0.0122752 | + | 0.0458116i | ||||
\(269\) | −10.3656 | + | 5.98459i | −0.632002 | + | 0.364887i | −0.781527 | − | 0.623871i | \(-0.785559\pi\) |
0.149525 | + | 0.988758i | \(0.452226\pi\) | |||||||
\(270\) | 1.55011 | − | 15.2397i | 0.0943370 | − | 0.927457i | ||||
\(271\) | 6.16812 | + | 23.0197i | 0.374687 | + | 1.39835i | 0.853802 | + | 0.520598i | \(0.174291\pi\) |
−0.479115 | + | 0.877752i | \(0.659042\pi\) | |||||||
\(272\) | 4.02058 | − | 6.96385i | 0.243784 | − | 0.422246i | ||||
\(273\) | 10.6620 | − | 5.89693i | 0.645296 | − | 0.356899i | ||||
\(274\) | −5.81141 | − | 10.0657i | −0.351080 | − | 0.608089i | ||||
\(275\) | 2.09185 | − | 2.09185i | 0.126143 | − | 0.126143i | ||||
\(276\) | 7.46851 | + | 9.53727i | 0.449551 | + | 0.574076i | ||||
\(277\) | 9.44410i | 0.567441i | 0.958907 | + | 0.283721i | \(0.0915688\pi\) | ||||
−0.958907 | + | 0.283721i | \(0.908431\pi\) | |||||||
\(278\) | 16.1422 | − | 16.1422i | 0.968147 | − | 0.968147i | ||||
\(279\) | 6.14227 | − | 3.70936i | 0.367728 | − | 0.222073i | ||||
\(280\) | 5.55565 | + | 1.48863i | 0.332014 | + | 0.0889628i | ||||
\(281\) | 18.8382 | − | 5.04768i | 1.12379 | − | 0.301119i | 0.351376 | − | 0.936235i | \(-0.385714\pi\) |
0.772417 | + | 0.635115i | \(0.219047\pi\) | |||||||
\(282\) | 8.56397 | + | 3.44894i | 0.509977 | + | 0.205381i | ||||
\(283\) | 20.7236i | 1.23189i | 0.787789 | + | 0.615946i | \(0.211226\pi\) | ||||
−0.787789 | + | 0.615946i | \(0.788774\pi\) | |||||||
\(284\) | −1.88359 | − | 1.88359i | −0.111771 | − | 0.111771i | ||||
\(285\) | −18.3781 | + | 14.3917i | −1.08863 | + | 0.852490i | ||||
\(286\) | 1.18092 | − | 2.63775i | 0.0698292 | − | 0.155973i | ||||
\(287\) | − | 10.1084i | − | 0.596682i | ||||||
\(288\) | 1.44856 | − | 2.62710i | 0.0853573 | − | 0.154804i | ||||
\(289\) | −23.8302 | + | 41.2751i | −1.40178 | + | 2.42795i | ||||
\(290\) | −23.2207 | −1.36357 | ||||||||
\(291\) | 2.49288 | + | 5.85465i | 0.146135 | + | 0.343206i | ||||
\(292\) | 7.76303 | − | 2.08010i | 0.454297 | − | 0.121729i | ||||
\(293\) | 18.6486 | − | 4.99688i | 1.08946 | − | 0.291921i | 0.330996 | − | 0.943632i | \(-0.392615\pi\) |
0.758467 | + | 0.651711i | \(0.225949\pi\) | |||||||
\(294\) | 3.32389 | − | 4.42123i | 0.193853 | − | 0.257851i | ||||
\(295\) | −26.0247 | −1.51522 | ||||||||
\(296\) | −4.05028 | + | 7.01530i | −0.235418 | + | 0.407756i | ||||
\(297\) | 4.11149 | − | 0.665334i | 0.238573 | − | 0.0386066i | ||||
\(298\) | − | 7.78247i | − | 0.450826i | ||||||
\(299\) | −25.0836 | + | 2.58415i | −1.45062 | + | 0.149445i | ||||
\(300\) | 0.896749 | + | 6.32937i | 0.0517738 | + | 0.365426i | ||||
\(301\) | 3.21969 | + | 3.21969i | 0.185580 | + | 0.185580i | ||||
\(302\) | − | 7.94785i | − | 0.457348i | ||||||
\(303\) | −3.31506 | − | 23.3981i | −0.190445 | − | 1.34418i | ||||
\(304\) | −4.41574 | + | 1.18319i | −0.253260 | + | 0.0678608i | ||||
\(305\) | −14.0646 | − | 3.76859i | −0.805335 | − | 0.215789i | ||||
\(306\) | −11.6481 | + | 21.1250i | −0.665879 | + | 1.20763i | ||||
\(307\) | −15.5762 | + | 15.5762i | −0.888978 | + | 0.888978i | −0.994425 | − | 0.105447i | \(-0.966373\pi\) |
0.105447 | + | 0.994425i | \(0.466373\pi\) | |||||||
\(308\) | 1.56384i | 0.0891082i | ||||||||
\(309\) | −23.1032 | + | 3.27327i | −1.31429 | + | 0.186210i | ||||
\(310\) | −4.98586 | + | 4.98586i | −0.283178 | + | 0.283178i | ||||
\(311\) | −4.85889 | − | 8.41584i | −0.275522 | − | 0.477218i | 0.694745 | − | 0.719257i | \(-0.255517\pi\) |
−0.970267 | + | 0.242038i | \(0.922184\pi\) | |||||||
\(312\) | 3.02248 | + | 5.46485i | 0.171114 | + | 0.309386i | ||||
\(313\) | 2.74916 | − | 4.76168i | 0.155392 | − | 0.269146i | −0.777810 | − | 0.628500i | \(-0.783669\pi\) |
0.933202 | + | 0.359353i | \(0.117003\pi\) | |||||||
\(314\) | −1.01986 | − | 3.80616i | −0.0575539 | − | 0.214794i | ||||
\(315\) | −16.7516 | − | 4.13691i | −0.943848 | − | 0.233088i | ||||
\(316\) | 0.960416 | − | 0.554497i | 0.0540276 | − | 0.0311929i | ||||
\(317\) | 0.270848 | + | 1.01082i | 0.0152123 | + | 0.0567731i | 0.973115 | − | 0.230321i | \(-0.0739775\pi\) |
−0.957902 | + | 0.287094i | \(0.907311\pi\) | |||||||
\(318\) | −8.61726 | + | 11.4621i | −0.483232 | + | 0.642764i | ||||
\(319\) | −1.63408 | − | 6.09847i | −0.0914910 | − | 0.341449i | ||||
\(320\) | −0.763001 | + | 2.84756i | −0.0426530 | + | 0.159183i | ||||
\(321\) | 19.7937 | + | 25.2765i | 1.10478 | + | 1.41080i | ||||
\(322\) | 11.8169 | − | 6.82249i | 0.658530 | − | 0.380203i | ||||
\(323\) | 35.5077 | − | 9.51426i | 1.97570 | − | 0.529388i | ||||
\(324\) | −4.18968 | + | 7.96534i | −0.232760 | + | 0.442519i | ||||
\(325\) | −12.1456 | − | 5.43757i | −0.673715 | − | 0.301622i | ||||
\(326\) | 17.8678 | + | 10.3160i | 0.989609 | + | 0.571351i | ||||
\(327\) | 4.05984 | + | 9.53474i | 0.224509 | + | 0.527272i | ||||
\(328\) | 5.18109 | 0.286078 | ||||||||
\(329\) | 5.19978 | − | 9.00629i | 0.286673 | − | 0.496533i | ||||
\(330\) | −3.76565 | + | 1.60339i | −0.207292 | + | 0.0882639i | ||||
\(331\) | −8.72945 | − | 8.72945i | −0.479814 | − | 0.479814i | 0.425258 | − | 0.905072i | \(-0.360183\pi\) |
−0.905072 | + | 0.425258i | \(0.860183\pi\) | |||||||
\(332\) | −0.614312 | + | 2.29264i | −0.0337147 | + | 0.125825i | ||||
\(333\) | 11.7342 | − | 21.2810i | 0.643028 | − | 1.16619i | ||||
\(334\) | 2.82165 | + | 4.88724i | 0.154394 | + | 0.267418i | ||||
\(335\) | 1.14445 | + | 1.98225i | 0.0625282 | + | 0.108302i | ||||
\(336\) | −2.70108 | − | 2.03068i | −0.147356 | − | 0.110783i | ||||
\(337\) | 18.3428 | − | 10.5902i | 0.999195 | − | 0.576886i | 0.0911852 | − | 0.995834i | \(-0.470934\pi\) |
0.908010 | + | 0.418948i | \(0.137601\pi\) | |||||||
\(338\) | −12.9793 | − | 0.733864i | −0.705979 | − | 0.0399170i | ||||
\(339\) | −6.38504 | − | 8.15368i | −0.346788 | − | 0.442847i | ||||
\(340\) | 6.13542 | − | 22.8977i | 0.332740 | − | 1.24180i | ||||
\(341\) | −1.66031 | − | 0.958578i | −0.0899106 | − | 0.0519099i | ||||
\(342\) | 13.1748 | − | 3.80969i | 0.712410 | − | 0.206005i | ||||
\(343\) | −14.0628 | − | 14.0628i | −0.759319 | − | 0.759319i | ||||
\(344\) | −1.65026 | + | 1.65026i | −0.0889759 | + | 0.0889759i | ||||
\(345\) | 28.5440 | + | 21.4594i | 1.53676 | + | 1.15534i | ||||
\(346\) | 15.8730 | + | 4.25316i | 0.853338 | + | 0.228651i | ||||
\(347\) | −2.17991 | − | 1.25857i | −0.117024 | − | 0.0675636i | 0.440346 | − | 0.897828i | \(-0.354856\pi\) |
−0.557369 | + | 0.830265i | \(0.688189\pi\) | |||||||
\(348\) | 12.6552 | + | 5.09659i | 0.678390 | + | 0.273206i | ||||
\(349\) | 17.1855 | + | 4.60485i | 0.919921 | + | 0.246492i | 0.687552 | − | 0.726136i | \(-0.258686\pi\) |
0.232369 | + | 0.972628i | \(0.425352\pi\) | |||||||
\(350\) | 7.20075 | 0.384896 | ||||||||
\(351\) | −9.38845 | − | 16.2129i | −0.501118 | − | 0.865379i | ||||
\(352\) | −0.801550 | −0.0427228 | ||||||||
\(353\) | −3.01498 | − | 0.807861i | −0.160471 | − | 0.0429981i | 0.177689 | − | 0.984087i | \(-0.443138\pi\) |
−0.338160 | + | 0.941089i | \(0.609805\pi\) | |||||||
\(354\) | 14.1834 | + | 5.71202i | 0.753837 | + | 0.303590i | ||||
\(355\) | −6.80082 | − | 3.92646i | −0.360950 | − | 0.208395i | ||||
\(356\) | −2.84070 | − | 0.761164i | −0.150557 | − | 0.0403416i | ||||
\(357\) | 21.7198 | + | 16.3290i | 1.14953 | + | 0.864224i | ||||
\(358\) | 4.28313 | − | 4.28313i | 0.226371 | − | 0.226371i | ||||
\(359\) | 14.3618 | + | 14.3618i | 0.757986 | + | 0.757986i | 0.975956 | − | 0.217970i | \(-0.0699434\pi\) |
−0.217970 | + | 0.975956i | \(0.569943\pi\) | |||||||
\(360\) | 2.12038 | − | 8.58608i | 0.111754 | − | 0.452526i | ||||
\(361\) | −1.64433 | − | 0.949354i | −0.0865436 | − | 0.0499660i | ||||
\(362\) | −3.17019 | + | 11.8313i | −0.166621 | + | 0.621839i | ||||
\(363\) | 11.0606 | + | 14.1244i | 0.580531 | + | 0.741337i | ||||
\(364\) | 6.57246 | − | 2.50741i | 0.344491 | − | 0.131424i | ||||
\(365\) | 20.5186 | − | 11.8464i | 1.07399 | − | 0.620069i | ||||
\(366\) | 6.83799 | + | 5.14083i | 0.357428 | + | 0.268715i | ||||
\(367\) | −11.6102 | − | 20.1095i | −0.606049 | − | 1.04971i | −0.991885 | − | 0.127141i | \(-0.959420\pi\) |
0.385835 | − | 0.922568i | \(-0.373913\pi\) | |||||||
\(368\) | 3.49688 | + | 6.05678i | 0.182288 | + | 0.315731i | ||||
\(369\) | −15.5403 | + | 0.306002i | −0.808994 | + | 0.0159298i | ||||
\(370\) | −6.18074 | + | 23.0668i | −0.321321 | + | 1.19919i | ||||
\(371\) | 11.4219 | + | 11.4219i | 0.592994 | + | 0.592994i | ||||
\(372\) | 3.81160 | − | 1.62296i | 0.197622 | − | 0.0841464i | ||||
\(373\) | −12.6570 | + | 21.9226i | −0.655355 | + | 1.13511i | 0.326450 | + | 0.945214i | \(0.394148\pi\) |
−0.981805 | + | 0.189893i | \(0.939186\pi\) | |||||||
\(374\) | 6.44540 | 0.333284 | ||||||||
\(375\) | −2.61896 | − | 6.15077i | −0.135243 | − | 0.317624i | ||||
\(376\) | 4.61619 | + | 2.66516i | 0.238062 | + | 0.137445i | ||||
\(377\) | −23.0104 | + | 16.6457i | −1.18510 | + | 0.857298i | ||||
\(378\) | 8.22159 | + | 5.93132i | 0.422873 | + | 0.305074i | ||||
\(379\) | −22.2862 | + | 5.97156i | −1.14476 | + | 0.306738i | −0.780865 | − | 0.624700i | \(-0.785221\pi\) |
−0.363898 | + | 0.931439i | \(0.618554\pi\) | |||||||
\(380\) | −11.6713 | + | 6.73843i | −0.598725 | + | 0.345674i | ||||
\(381\) | 2.38991 | + | 3.05190i | 0.122439 | + | 0.156354i | ||||
\(382\) | −0.108888 | + | 0.406374i | −0.00557117 | + | 0.0207919i | ||||
\(383\) | −6.17345 | − | 23.0396i | −0.315448 | − | 1.17727i | −0.923571 | − | 0.383426i | \(-0.874744\pi\) |
0.608123 | − | 0.793843i | \(-0.291923\pi\) | |||||||
\(384\) | 1.04083 | − | 1.38444i | 0.0531145 | − | 0.0706495i | ||||
\(385\) | 1.19321 | + | 4.45313i | 0.0608118 | + | 0.226953i | ||||
\(386\) | 11.7687 | − | 6.79464i | 0.599009 | − | 0.345838i | ||||
\(387\) | 4.85235 | − | 5.04728i | 0.246659 | − | 0.256568i | ||||
\(388\) | 0.950861 | + | 3.54866i | 0.0482726 | + | 0.180156i | ||||
\(389\) | −12.4984 | + | 21.6479i | −0.633694 | + | 1.09759i | 0.353096 | + | 0.935587i | \(0.385129\pi\) |
−0.986790 | + | 0.162004i | \(0.948204\pi\) | |||||||
\(390\) | 12.7764 | + | 13.2553i | 0.646957 | + | 0.671209i | ||||
\(391\) | −28.1190 | − | 48.7035i | −1.42204 | − | 2.46304i | ||||
\(392\) | 2.25815 | − | 2.25815i | 0.114054 | − | 0.114054i | ||||
\(393\) | 14.6109 | − | 2.07009i | 0.737024 | − | 0.104422i | ||||
\(394\) | − | 0.925192i | − | 0.0466105i | ||||||
\(395\) | 2.31176 | − | 2.31176i | 0.116317 | − | 0.116317i | ||||
\(396\) | 2.40419 | − | 0.0473406i | 0.120815 | − | 0.00237896i | ||||
\(397\) | 20.3908 | + | 5.46370i | 1.02338 | + | 0.274215i | 0.731212 | − | 0.682150i | \(-0.238955\pi\) |
0.292173 | + | 0.956366i | \(0.405622\pi\) | |||||||
\(398\) | −12.3887 | + | 3.31954i | −0.620989 | + | 0.166393i | ||||
\(399\) | −2.16709 | − | 15.2956i | −0.108490 | − | 0.765738i | ||||
\(400\) | 3.69076i | 0.184538i | ||||||||
\(401\) | −12.5004 | − | 12.5004i | −0.624242 | − | 0.624242i | 0.322371 | − | 0.946613i | \(-0.395520\pi\) |
−0.946613 | + | 0.322371i | \(0.895520\pi\) | |||||||
\(402\) | −0.188649 | − | 1.33151i | −0.00940896 | − | 0.0664096i | ||||
\(403\) | −1.36661 | + | 8.51482i | −0.0680756 | + | 0.424154i | ||||
\(404\) | − | 13.6438i | − | 0.678804i | ||||||
\(405\) | −5.85280 | + | 25.8785i | −0.290828 | + | 1.28591i | ||||
\(406\) | 7.68385 | − | 13.3088i | 0.381343 | − | 0.660506i | ||||
\(407\) | −6.49301 | −0.321847 | ||||||||
\(408\) | −8.36947 | + | 11.1325i | −0.414350 | + | 0.551142i | ||||
\(409\) | 20.2046 | − | 5.41382i | 0.999055 | − | 0.267696i | 0.278005 | − | 0.960580i | \(-0.410327\pi\) |
0.721050 | + | 0.692884i | \(0.243660\pi\) | |||||||
\(410\) | 14.7535 | − | 3.95318i | 0.728622 | − | 0.195234i | ||||
\(411\) | 7.88664 | + | 18.5222i | 0.389019 | + | 0.913632i | ||||
\(412\) | −13.4718 | −0.663710 | ||||||||
\(413\) | 8.61171 | − | 14.9159i | 0.423754 | − | 0.733964i | ||||
\(414\) | −10.8463 | − | 17.9603i | −0.533068 | − | 0.882699i | ||||
\(415\) | 6.99715i | 0.343477i | ||||||||
\(416\) | 1.28518 | + | 3.36873i | 0.0630109 | + | 0.165165i | ||||
\(417\) | −31.1309 | + | 24.3782i | −1.52449 | + | 1.19381i | ||||
\(418\) | −2.59105 | − | 2.59105i | −0.126732 | − | 0.126732i | ||||
\(419\) | 17.8998i | 0.874462i | 0.899349 | + | 0.437231i | \(0.144041\pi\) | ||||
−0.899349 | + | 0.437231i | \(0.855959\pi\) | |||||||
\(420\) | −9.24088 | − | 3.72155i | −0.450909 | − | 0.181593i | ||||
\(421\) | 0.922884 | − | 0.247286i | 0.0449786 | − | 0.0120520i | −0.236260 | − | 0.971690i | \(-0.575922\pi\) |
0.281238 | + | 0.959638i | \(0.409255\pi\) | |||||||
\(422\) | −6.61278 | − | 1.77189i | −0.321905 | − | 0.0862542i | ||||
\(423\) | −14.0033 | − | 7.72128i | −0.680863 | − | 0.375422i | ||||
\(424\) | −5.85430 | + | 5.85430i | −0.284310 | + | 0.284310i | ||||
\(425\) | − | 29.6780i | − | 1.43959i | ||||||
\(426\) | 2.84463 | + | 3.63258i | 0.137823 | + | 0.175999i | ||||
\(427\) | 6.81399 | − | 6.81399i | 0.329752 | − | 0.329752i | ||||
\(428\) | 9.26775 | + | 16.0522i | 0.447974 | + | 0.775913i | ||||
\(429\) | −2.58216 | + | 4.28827i | −0.124668 | + | 0.207040i | ||||
\(430\) | −3.44006 | + | 5.95835i | −0.165894 | + | 0.287337i | ||||
\(431\) | −10.1624 | − | 37.9267i | −0.489507 | − | 1.82687i | −0.558845 | − | 0.829272i | \(-0.688755\pi\) |
0.0693375 | − | 0.997593i | \(-0.477911\pi\) | |||||||
\(432\) | −3.04011 | + | 4.21399i | −0.146267 | + | 0.202746i | ||||
\(433\) | 9.53436 | − | 5.50467i | 0.458192 | − | 0.264537i | −0.253092 | − | 0.967442i | \(-0.581447\pi\) |
0.711284 | + | 0.702905i | \(0.248114\pi\) | |||||||
\(434\) | −1.20777 | − | 4.50747i | −0.0579749 | − | 0.216365i | ||||
\(435\) | 39.9251 | + | 4.85690i | 1.91426 | + | 0.232871i | ||||
\(436\) | 1.54855 | + | 5.77926i | 0.0741620 | + | 0.276776i | ||||
\(437\) | −8.27498 | + | 30.8826i | −0.395846 | + | 1.47732i | ||||
\(438\) | −13.7826 | + | 1.95273i | −0.658560 | + | 0.0933052i | ||||
\(439\) | 3.69190 | − | 2.13152i | 0.176205 | − | 0.101732i | −0.409304 | − | 0.912398i | \(-0.634228\pi\) |
0.585508 | + | 0.810666i | \(0.300895\pi\) | |||||||
\(440\) | −2.28246 | + | 0.611584i | −0.108812 | + | 0.0291561i | ||||
\(441\) | −6.63978 | + | 6.90652i | −0.316180 | + | 0.328882i | ||||
\(442\) | −10.3343 | − | 27.0885i | −0.491553 | − | 1.28847i | ||||
\(443\) | 24.9846 | + | 14.4249i | 1.18705 | + | 0.685346i | 0.957636 | − | 0.287981i | \(-0.0929841\pi\) |
0.229419 | + | 0.973328i | \(0.426317\pi\) | |||||||
\(444\) | 8.43130 | − | 11.2148i | 0.400132 | − | 0.532229i | ||||
\(445\) | −8.66983 | −0.410989 | ||||||||
\(446\) | −8.84592 | + | 15.3216i | −0.418866 | + | 0.725498i | ||||
\(447\) | −1.62780 | + | 13.3810i | −0.0769923 | + | 0.632899i | ||||
\(448\) | −1.37958 | − | 1.37958i | −0.0651791 | − | 0.0651791i | ||||
\(449\) | 6.56424 | − | 24.4981i | 0.309786 | − | 1.15614i | −0.618961 | − | 0.785421i | \(-0.712446\pi\) |
0.928747 | − | 0.370714i | \(-0.120887\pi\) | |||||||
\(450\) | −0.217981 | − | 11.0701i | −0.0102757 | − | 0.521851i | ||||
\(451\) | 2.07645 | + | 3.59652i | 0.0977764 | + | 0.169354i | ||||
\(452\) | −2.98958 | − | 5.17811i | −0.140618 | − | 0.243558i | ||||
\(453\) | −1.66239 | + | 13.6653i | −0.0781060 | + | 0.642054i | ||||
\(454\) | −16.7719 | + | 9.68326i | −0.787144 | + | 0.454458i | ||||
\(455\) | 16.8023 | − | 12.1548i | 0.787705 | − | 0.569825i | ||||
\(456\) | 7.83979 | − | 1.11075i | 0.367132 | − | 0.0520155i | ||||
\(457\) | −7.44528 | + | 27.7862i | −0.348275 | + | 1.29978i | 0.540463 | + | 0.841368i | \(0.318249\pi\) |
−0.888739 | + | 0.458414i | \(0.848418\pi\) | |||||||
\(458\) | −22.4916 | − | 12.9855i | −1.05096 | − | 0.606773i | ||||
\(459\) | 24.4460 | − | 33.8854i | 1.14104 | − | 1.58164i | ||||
\(460\) | 14.5789 | + | 14.5789i | 0.679745 | + | 0.679745i | ||||
\(461\) | 26.1642 | − | 26.1642i | 1.21859 | − | 1.21859i | 0.250464 | − | 0.968126i | \(-0.419417\pi\) |
0.968126 | − | 0.250464i | \(-0.0805832\pi\) | |||||||
\(462\) | 0.327097 | − | 2.68883i | 0.0152179 | − | 0.125096i | ||||
\(463\) | −2.40613 | − | 0.644720i | −0.111822 | − | 0.0299627i | 0.202474 | − | 0.979288i | \(-0.435102\pi\) |
−0.314296 | + | 0.949325i | \(0.601769\pi\) | |||||||
\(464\) | 6.82146 | + | 3.93837i | 0.316678 | + | 0.182834i | ||||
\(465\) | 9.61543 | − | 7.52972i | 0.445905 | − | 0.349182i | ||||
\(466\) | 11.5032 | + | 3.08227i | 0.532875 | + | 0.142784i | ||||
\(467\) | −31.2741 | −1.44719 | −0.723596 | − | 0.690223i | \(-0.757512\pi\) | ||||
−0.723596 | + | 0.690223i | \(0.757512\pi\) | |||||||
\(468\) | −4.05374 | − | 10.0283i | −0.187384 | − | 0.463559i | ||||
\(469\) | −1.51482 | −0.0699480 | ||||||||
\(470\) | 15.1784 | + | 4.06703i | 0.700126 | + | 0.187598i | ||||
\(471\) | 0.957412 | + | 6.75753i | 0.0441152 | + | 0.311371i | ||||
\(472\) | 7.64518 | + | 4.41394i | 0.351898 | + | 0.203168i | ||||
\(473\) | −1.80693 | − | 0.484165i | −0.0830827 | − | 0.0222619i | ||||
\(474\) | −1.76730 | + | 0.752505i | −0.0811746 | + | 0.0345637i | ||||
\(475\) | −11.9305 | + | 11.9305i | −0.547411 | + | 0.547411i | ||||
\(476\) | 11.0934 | + | 11.0934i | 0.508467 | + | 0.508467i | ||||
\(477\) | 17.2137 | − | 17.9053i | 0.788163 | − | 0.819826i | ||||
\(478\) | −8.03762 | − | 4.64052i | −0.367632 | − | 0.212253i | ||||
\(479\) | 1.43340 | − | 5.34951i | 0.0654936 | − | 0.244426i | −0.925416 | − | 0.378952i | \(-0.876285\pi\) |
0.990910 | + | 0.134526i | \(0.0429513\pi\) | |||||||
\(480\) | 1.90749 | − | 4.73643i | 0.0870645 | − | 0.216187i | ||||
\(481\) | 10.4107 | + | 27.2886i | 0.474685 | + | 1.24425i | ||||
\(482\) | 8.48048 | − | 4.89621i | 0.386275 | − | 0.223016i | ||||
\(483\) | −21.7447 | + | 9.25877i | −0.989418 | + | 0.421289i | ||||
\(484\) | 5.17876 | + | 8.96987i | 0.235398 | + | 0.407721i | ||||
\(485\) | 5.41526 | + | 9.37951i | 0.245894 | + | 0.425902i | ||||
\(486\) | 8.86968 | − | 12.8191i | 0.402337 | − | 0.581485i | ||||
\(487\) | −0.759319 | + | 2.83382i | −0.0344080 | + | 0.128412i | −0.980994 | − | 0.194040i | \(-0.937841\pi\) |
0.946586 | + | 0.322453i | \(0.104507\pi\) | |||||||
\(488\) | 3.49252 | + | 3.49252i | 0.158099 | + | 0.158099i | ||||
\(489\) | −28.5638 | − | 21.4744i | −1.29170 | − | 0.971105i | ||||
\(490\) | 4.70725 | − | 8.15320i | 0.212652 | − | 0.368324i | ||||
\(491\) | −35.6988 | −1.61106 | −0.805531 | − | 0.592553i | \(-0.798120\pi\) | ||||
−0.805531 | + | 0.592553i | \(0.798120\pi\) | |||||||
\(492\) | −8.90824 | − | 1.08369i | −0.401615 | − | 0.0488566i | ||||
\(493\) | −54.8525 | − | 31.6691i | −2.47043 | − | 1.42630i | ||||
\(494\) | −6.73518 | + | 15.0440i | −0.303030 | + | 0.676860i | ||||
\(495\) | 6.80994 | − | 1.96920i | 0.306084 | − | 0.0885090i | ||||
\(496\) | 2.31031 | − | 0.619046i | 0.103736 | − | 0.0277960i | ||||
\(497\) | 4.50085 | − | 2.59857i | 0.201891 | − | 0.116562i | ||||
\(498\) | 1.53577 | − | 3.81342i | 0.0688194 | − | 0.170883i | ||||
\(499\) | 4.71922 | − | 17.6124i | 0.211261 | − | 0.788438i | −0.776188 | − | 0.630502i | \(-0.782849\pi\) |
0.987449 | − | 0.157936i | \(-0.0504841\pi\) | |||||||
\(500\) | −0.998954 | − | 3.72815i | −0.0446746 | − | 0.166728i | ||||
\(501\) | −3.82924 | − | 8.99318i | −0.171078 | − | 0.401786i | ||||
\(502\) | −3.65165 | − | 13.6281i | −0.162981 | − | 0.608254i | ||||
\(503\) | 20.2816 | − | 11.7096i | 0.904310 | − | 0.522104i | 0.0257142 | − | 0.999669i | \(-0.491814\pi\) |
0.878596 | + | 0.477565i | \(0.158481\pi\) | |||||||
\(504\) | 4.21942 | + | 4.05646i | 0.187948 | + | 0.180689i | ||||
\(505\) | −10.4102 | − | 38.8515i | −0.463249 | − | 1.72887i | ||||
\(506\) | −2.80293 | + | 4.85481i | −0.124605 | + | 0.215823i | ||||
\(507\) | 22.1627 | + | 3.97657i | 0.984282 | + | 0.176605i | ||||
\(508\) | 1.11899 | + | 1.93815i | 0.0496473 | + | 0.0859917i | ||||
\(509\) | 2.33968 | − | 2.33968i | 0.103705 | − | 0.103705i | −0.653351 | − | 0.757055i | \(-0.726637\pi\) |
0.757055 | + | 0.653351i | \(0.226637\pi\) | |||||||
\(510\) | −15.3384 | + | 38.0864i | −0.679197 | + | 1.68649i | ||||
\(511\) | 15.6801i | 0.693648i | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −23.4492 | + | 3.79462i | −1.03531 | + | 0.167537i | ||||
\(514\) | 4.94531 | + | 1.32509i | 0.218128 | + | 0.0584473i | ||||
\(515\) | −38.3618 | + | 10.2790i | −1.69042 | + | 0.452948i | ||||
\(516\) | 3.18258 | − | 2.49224i | 0.140105 | − | 0.109715i | ||||
\(517\) | 4.27252i | 0.187905i | ||||||||
\(518\) | −11.1754 | − | 11.1754i | −0.491019 | − | 0.491019i | ||||
\(519\) | −26.4020 | − | 10.6328i | −1.15892 | − | 0.466729i | ||||
\(520\) | 6.22995 | + | 8.61206i | 0.273201 | + | 0.377664i | ||||
\(521\) | 7.00178i | 0.306754i | 0.988168 | + | 0.153377i | \(0.0490148\pi\) | ||||
−0.988168 | + | 0.153377i | \(0.950985\pi\) | |||||||
\(522\) | −20.6930 | − | 11.4099i | −0.905709 | − | 0.499399i | ||||
\(523\) | −21.4957 | + | 37.2316i | −0.939940 | + | 1.62802i | −0.174360 | + | 0.984682i | \(0.555786\pi\) |
−0.765580 | + | 0.643341i | \(0.777548\pi\) | |||||||
\(524\) | 8.51987 | 0.372192 | ||||||||
\(525\) | −12.3808 | − | 1.50613i | −0.540342 | − | 0.0657328i | ||||
\(526\) | −13.9313 | + | 3.73287i | −0.607433 | + | 0.162761i | ||||
\(527\) | −18.5776 | + | 4.97785i | −0.809253 | + | 0.216839i | ||||
\(528\) | 1.37817 | + | 0.167654i | 0.0599770 | + | 0.00729622i | ||||
\(529\) | 25.9127 | 1.12664 | ||||||||
\(530\) | −12.2036 | + | 21.1373i | −0.530092 | + | 0.918146i | ||||
\(531\) | −23.1918 | − | 12.7877i | −1.00644 | − | 0.554940i | ||||
\(532\) | − | 8.91912i | − | 0.386693i | ||||||
\(533\) | 11.7860 | − | 14.4934i | 0.510510 | − | 0.627778i | ||||
\(534\) | 4.72503 | + | 1.90289i | 0.204472 | + | 0.0823463i | ||||
\(535\) | 38.6383 | + | 38.6383i | 1.67048 | + | 1.67048i | ||||
\(536\) | − | 0.776425i | − | 0.0335364i | ||||||
\(537\) | −8.26018 | + | 6.46844i | −0.356453 | + | 0.279134i | ||||
\(538\) | 11.5613 | − | 3.09785i | 0.498445 | − | 0.133558i | ||||
\(539\) | 2.47254 | + | 0.662515i | 0.106500 | + | 0.0285365i | ||||
\(540\) | −5.44161 | + | 14.3192i | −0.234170 | + | 0.616200i | ||||
\(541\) | 8.12664 | − | 8.12664i | 0.349391 | − | 0.349391i | −0.510491 | − | 0.859883i | \(-0.670536\pi\) |
0.859883 | + | 0.510491i | \(0.170536\pi\) | |||||||
\(542\) | − | 23.8318i | − | 1.02366i | ||||||
\(543\) | 7.92540 | − | 19.6794i | 0.340112 | − | 0.844522i | ||||
\(544\) | −5.68596 | + | 5.68596i | −0.243784 | + | 0.243784i | ||||
\(545\) | 8.81916 | + | 15.2752i | 0.377771 | + | 0.654319i | ||||
\(546\) | −11.8250 | + | 2.93646i | −0.506063 | + | 0.125669i | ||||
\(547\) | 2.01972 | − | 3.49826i | 0.0863570 | − | 0.149575i | −0.819612 | − | 0.572919i | \(-0.805811\pi\) |
0.905969 | + | 0.423345i | \(0.139144\pi\) | |||||||
\(548\) | 3.00821 | + | 11.2268i | 0.128504 | + | 0.479585i | ||||
\(549\) | −10.6818 | − | 10.2693i | −0.455888 | − | 0.438281i | ||||
\(550\) | −2.56199 | + | 1.47916i | −0.109243 | + | 0.0630717i | ||||
\(551\) | 9.31971 | + | 34.7816i | 0.397033 | + | 1.48175i | ||||
\(552\) | −4.74560 | − | 11.1453i | −0.201986 | − | 0.474375i | ||||
\(553\) | 0.559999 | + | 2.08995i | 0.0238136 | + | 0.0888735i | ||||
\(554\) | 2.44431 | − | 9.12230i | 0.103849 | − | 0.387570i | ||||
\(555\) | 15.4517 | − | 38.3678i | 0.655890 | − | 1.62862i | ||||
\(556\) | −19.7701 | + | 11.4143i | −0.838440 | + | 0.484074i | ||||
\(557\) | −22.2275 | + | 5.95584i | −0.941810 | + | 0.252357i | −0.696883 | − | 0.717185i | \(-0.745430\pi\) |
−0.244926 | + | 0.969542i | \(0.578764\pi\) | |||||||
\(558\) | −6.89303 | + | 1.99323i | −0.291805 | + | 0.0843801i | ||||
\(559\) | 0.862329 | + | 8.37039i | 0.0364726 | + | 0.354030i | ||||
\(560\) | −4.98106 | − | 2.87582i | −0.210488 | − | 0.121525i | ||||
\(561\) | −11.0821 | − | 1.34814i | −0.467885 | − | 0.0569184i | ||||
\(562\) | −19.5027 | −0.822674 | ||||||||
\(563\) | 2.44455 | − | 4.23408i | 0.103025 | − | 0.178445i | −0.809904 | − | 0.586562i | \(-0.800481\pi\) |
0.912930 | + | 0.408117i | \(0.133814\pi\) | |||||||
\(564\) | −7.37951 | − | 5.54794i | −0.310733 | − | 0.233610i | ||||
\(565\) | −12.4639 | − | 12.4639i | −0.524361 | − | 0.524361i | ||||
\(566\) | 5.36367 | − | 20.0175i | 0.225452 | − | 0.841397i | ||||
\(567\) | −12.8954 | − | 11.9178i | −0.541556 | − | 0.500501i | ||||
\(568\) | 1.33190 | + | 2.30692i | 0.0558853 | + | 0.0967963i | ||||
\(569\) | −10.6832 | − | 18.5038i | −0.447863 | − | 0.775721i | 0.550384 | − | 0.834912i | \(-0.314481\pi\) |
−0.998247 | + | 0.0591908i | \(0.981148\pi\) | |||||||
\(570\) | 21.4768 | − | 9.14469i | 0.899563 | − | 0.383029i | ||||
\(571\) | 21.5820 | − | 12.4604i | 0.903179 | − | 0.521451i | 0.0249486 | − | 0.999689i | \(-0.492058\pi\) |
0.878230 | + | 0.478238i | \(0.158724\pi\) | |||||||
\(572\) | −1.82338 | + | 2.24222i | −0.0762393 | + | 0.0937521i | ||||
\(573\) | 0.272217 | − | 0.675934i | 0.0113720 | − | 0.0282376i | ||||
\(574\) | −2.61625 | + | 9.76399i | −0.109200 | + | 0.407541i | ||||
\(575\) | 22.3541 | + | 12.9061i | 0.932230 | + | 0.538223i | ||||
\(576\) | −2.07915 | + | 2.16267i | −0.0866311 | + | 0.0901113i | ||||
\(577\) | −4.11164 | − | 4.11164i | −0.171170 | − | 0.171170i | 0.616323 | − | 0.787493i | \(-0.288621\pi\) |
−0.787493 | + | 0.616323i | \(0.788621\pi\) | |||||||
\(578\) | 33.7010 | − | 33.7010i | 1.40178 | − | 1.40178i | ||||
\(579\) | −21.6559 | + | 9.22097i | −0.899990 | + | 0.383211i | ||||
\(580\) | 22.4295 | + | 6.00996i | 0.931333 | + | 0.249550i | ||||
\(581\) | −4.01038 | − | 2.31539i | −0.166379 | − | 0.0960587i | ||||
\(582\) | −0.892639 | − | 6.30036i | −0.0370011 | − | 0.261158i | ||||
\(583\) | −6.41010 | − | 1.71758i | −0.265479 | − | 0.0711350i | ||||
\(584\) | −8.03688 | −0.332568 | ||||||||
\(585\) | −19.1949 | − | 25.4632i | −0.793610 | − | 1.05277i | ||||
\(586\) | −19.3065 | −0.797542 | ||||||||
\(587\) | −17.3963 | − | 4.66134i | −0.718024 | − | 0.192394i | −0.118734 | − | 0.992926i | \(-0.537884\pi\) |
−0.599290 | + | 0.800532i | \(0.704550\pi\) | |||||||
\(588\) | −4.35493 | + | 3.41029i | −0.179594 | + | 0.140638i | ||||
\(589\) | 9.46928 | + | 5.46709i | 0.390175 | + | 0.225268i | ||||
\(590\) | 25.1379 | + | 6.73569i | 1.03491 | + | 0.277304i | ||||
\(591\) | −0.193516 | + | 1.59075i | −0.00796017 | + | 0.0654348i | ||||
\(592\) | 5.72797 | − | 5.72797i | 0.235418 | − | 0.235418i | ||||
\(593\) | 8.08152 | + | 8.08152i | 0.331868 | + | 0.331868i | 0.853296 | − | 0.521427i | \(-0.174600\pi\) |
−0.521427 | + | 0.853296i | \(0.674600\pi\) | |||||||
\(594\) | −4.14360 | − | 0.421469i | −0.170014 | − | 0.0172931i | ||||
\(595\) | 40.0535 | + | 23.1249i | 1.64203 | + | 0.948029i | ||||
\(596\) | −2.01425 | + | 7.51729i | −0.0825069 | + | 0.307920i | ||||
\(597\) | 21.9951 | − | 3.11628i | 0.900201 | − | 0.127541i | ||||
\(598\) | 24.8977 | + | 3.99602i | 1.01814 | + | 0.163410i | ||||
\(599\) | −0.103217 | + | 0.0595921i | −0.00421731 | + | 0.00243487i | −0.502107 | − | 0.864805i | \(-0.667442\pi\) |
0.497890 | + | 0.867240i | \(0.334108\pi\) | |||||||
\(600\) | 0.771968 | − | 6.34580i | 0.0315155 | − | 0.259066i | ||||
\(601\) | −13.5435 | − | 23.4581i | −0.552452 | − | 0.956875i | −0.998097 | − | 0.0616651i | \(-0.980359\pi\) |
0.445645 | − | 0.895210i | \(-0.352974\pi\) | |||||||
\(602\) | −2.27666 | − | 3.94330i | −0.0927899 | − | 0.160717i | ||||
\(603\) | 0.0458567 | + | 2.32882i | 0.00186743 | + | 0.0948370i | ||||
\(604\) | −2.05706 | + | 7.67704i | −0.0837004 | + | 0.312374i | ||||
\(605\) | 21.5908 | + | 21.5908i | 0.877792 | + | 0.877792i | ||||
\(606\) | −2.85377 | + | 23.4588i | −0.115927 | + | 0.952949i | ||||
\(607\) | 9.24915 | − | 16.0200i | 0.375412 | − | 0.650232i | −0.614977 | − | 0.788545i | \(-0.710835\pi\) |
0.990389 | + | 0.138313i | \(0.0441680\pi\) | |||||||
\(608\) | 4.57151 | 0.185399 | ||||||||
\(609\) | −15.9951 | + | 21.2757i | −0.648155 | + | 0.862134i | ||||
\(610\) | 12.6100 | + | 7.28036i | 0.510562 | + | 0.294773i | ||||
\(611\) | 17.9564 | − | 6.85039i | 0.726437 | − | 0.277137i | ||||
\(612\) | 16.7188 | − | 17.3904i | 0.675816 | − | 0.702965i | ||||
\(613\) | −21.0392 | + | 5.63743i | −0.849764 | + | 0.227694i | −0.657317 | − | 0.753614i | \(-0.728309\pi\) |
−0.192447 | + | 0.981307i | \(0.561642\pi\) | |||||||
\(614\) | 19.0768 | − | 11.0140i | 0.769878 | − | 0.444489i | ||||
\(615\) | −26.1936 | + | 3.71113i | −1.05623 | + | 0.149647i | ||||
\(616\) | 0.404752 | − | 1.51056i | 0.0163079 | − | 0.0608620i | ||||
\(617\) | 0.679941 | + | 2.53758i | 0.0273734 | + | 0.102159i | 0.978261 | − | 0.207377i | \(-0.0664928\pi\) |
−0.950888 | + | 0.309536i | \(0.899826\pi\) | |||||||
\(618\) | 23.1631 | + | 2.81780i | 0.931758 | + | 0.113349i | ||||
\(619\) | −3.69004 | − | 13.7714i | −0.148315 | − | 0.553520i | −0.999585 | − | 0.0287923i | \(-0.990834\pi\) |
0.851270 | − | 0.524728i | \(-0.175833\pi\) | |||||||
\(620\) | 6.10641 | − | 3.52554i | 0.245239 | − | 0.141589i | ||||
\(621\) | 14.8923 | + | 33.1491i | 0.597607 | + | 1.33023i | ||||
\(622\) | 2.51514 | + | 9.38665i | 0.100848 | + | 0.376370i | ||||
\(623\) | 2.86889 | − | 4.96907i | 0.114940 | − | 0.199081i | ||||
\(624\) | −1.50509 | − | 6.06092i | −0.0602517 | − | 0.242631i | ||||
\(625\) | −14.9160 | − | 25.8354i | −0.596642 | − | 1.03341i | ||||
\(626\) | −3.88790 | + | 3.88790i | −0.155392 | + | 0.155392i | ||||
\(627\) | 3.91303 | + | 4.99693i | 0.156272 | + | 0.199558i | ||||
\(628\) | 3.94043i | 0.157240i | ||||||||
\(629\) | −46.0595 | + | 46.0595i | −1.83651 | + | 1.83651i | ||||
\(630\) | 15.1101 | + | 8.33159i | 0.602002 | + | 0.331938i | ||||
\(631\) | 34.0030 | + | 9.11109i | 1.35364 | + | 0.362707i | 0.861477 | − | 0.507797i | \(-0.169540\pi\) |
0.492163 | + | 0.870503i | \(0.336206\pi\) | |||||||
\(632\) | −1.07121 | + | 0.287029i | −0.0426103 | + | 0.0114174i | ||||
\(633\) | 10.9992 | + | 4.42969i | 0.437181 | + | 0.176064i | ||||
\(634\) | − | 1.04647i | − | 0.0415608i | ||||||
\(635\) | 4.66521 | + | 4.66521i | 0.185133 | + | 0.185133i | ||||
\(636\) | 11.2902 | − | 8.84124i | 0.447687 | − | 0.350578i | ||||
\(637\) | −1.17998 | − | 11.4537i | −0.0467525 | − | 0.453814i | ||||
\(638\) | 6.31360i | 0.249958i | ||||||||
\(639\) | −4.13118 | − | 6.84076i | −0.163427 | − | 0.270616i | ||||
\(640\) | 1.47400 | − | 2.55305i | 0.0582651 | − | 0.100918i | ||||
\(641\) | 5.81916 | 0.229843 | 0.114922 | − | 0.993375i | \(-0.463338\pi\) | ||||
0.114922 | + | 0.993375i | \(0.463338\pi\) | |||||||
\(642\) | −12.5772 | − | 29.5382i | −0.496383 | − | 1.16578i | ||||
\(643\) | 5.74185 | − | 1.53852i | 0.226436 | − | 0.0606735i | −0.143817 | − | 0.989604i | \(-0.545938\pi\) |
0.370253 | + | 0.928931i | \(0.379271\pi\) | |||||||
\(644\) | −13.1800 | + | 3.53158i | −0.519367 | + | 0.139164i | ||||
\(645\) | 7.16101 | − | 9.52511i | 0.281964 | − | 0.375051i | ||||
\(646\) | −36.7603 | −1.44631 | ||||||||
\(647\) | −2.47586 | + | 4.28832i | −0.0973362 | + | 0.168591i | −0.910581 | − | 0.413330i | \(-0.864366\pi\) |
0.813245 | + | 0.581921i | \(0.197699\pi\) | |||||||
\(648\) | 6.10850 | − | 6.60956i | 0.239965 | − | 0.259648i | ||||
\(649\) | 7.07600i | 0.277757i | ||||||||
\(650\) | 10.3244 | + | 8.39579i | 0.404955 | + | 0.329310i | ||||
\(651\) | 1.13382 | + | 8.00265i | 0.0444379 | + | 0.313649i | ||||
\(652\) | −14.5890 | − | 14.5890i | −0.571351 | − | 0.571351i | ||||
\(653\) | 20.4897i | 0.801824i | 0.916117 | + | 0.400912i | \(0.131307\pi\) | ||||
−0.916117 | + | 0.400912i | \(0.868693\pi\) | |||||||
\(654\) | −1.45373 | − | 10.2606i | −0.0568453 | − | 0.401222i | ||||
\(655\) | 24.2608 | − | 6.50067i | 0.947949 | − | 0.254002i | ||||
\(656\) | −5.00455 | − | 1.34097i | −0.195395 | − | 0.0523559i | ||||
\(657\) | 24.1060 | − | 0.474669i | 0.940463 | − | 0.0185186i | ||||
\(658\) | −7.35360 | + | 7.35360i | −0.286673 | + | 0.286673i | ||||
\(659\) | − | 4.80810i | − | 0.187297i | −0.995605 | − | 0.0936484i | \(-0.970147\pi\) | ||
0.995605 | − | 0.0936484i | \(-0.0298530\pi\) | |||||||
\(660\) | 4.05233 | − | 0.574136i | 0.157737 | − | 0.0223482i | ||||
\(661\) | −28.8974 | + | 28.8974i | −1.12398 | + | 1.12398i | −0.132839 | + | 0.991138i | \(0.542409\pi\) |
−0.991138 | + | 0.132839i | \(0.957591\pi\) | |||||||
\(662\) | 6.17265 | + | 10.6913i | 0.239907 | + | 0.415531i | ||||
\(663\) | 12.1027 | + | 48.7368i | 0.470028 | + | 1.89278i | ||||
\(664\) | 1.18676 | − | 2.05553i | 0.0460552 | − | 0.0797699i | ||||
\(665\) | −6.80530 | − | 25.3977i | −0.263898 | − | 0.984881i | ||||
\(666\) | −16.8423 | + | 17.5189i | −0.652625 | + | 0.678843i | ||||
\(667\) | 47.7077 | − | 27.5440i | 1.84725 | − | 1.06651i | ||||
\(668\) | −1.46059 | − | 5.45101i | −0.0565120 | − | 0.210906i | ||||
\(669\) | 18.4142 | − | 24.4933i | 0.711932 | − | 0.946966i | ||||
\(670\) | −0.592413 | − | 2.21091i | −0.0228869 | − | 0.0854151i | ||||
\(671\) | −1.02466 | + | 3.82410i | −0.0395567 | + | 0.147628i | ||||
\(672\) | 2.08346 | + | 2.66057i | 0.0803713 | + | 0.102634i | ||||
\(673\) | 22.6393 | − | 13.0708i | 0.872680 | − | 0.503842i | 0.00444195 | − | 0.999990i | \(-0.498586\pi\) |
0.868238 | + | 0.496148i | \(0.165253\pi\) | |||||||
\(674\) | −20.4587 | + | 5.48190i | −0.788040 | + | 0.211155i | ||||
\(675\) | −1.94066 | + | 19.0793i | −0.0746962 | + | 0.734362i | ||||
\(676\) | 12.3471 | + | 4.06814i | 0.474887 | + | 0.156467i | ||||
\(677\) | −34.5645 | − | 19.9558i | −1.32842 | − | 0.766964i | −0.343365 | − | 0.939202i | \(-0.611567\pi\) |
−0.985055 | + | 0.172238i | \(0.944900\pi\) | |||||||
\(678\) | 4.05715 | + | 9.52842i | 0.155814 | + | 0.365937i | ||||
\(679\) | −7.16775 | −0.275073 | ||||||||
\(680\) | −11.8527 | + | 20.5295i | −0.454531 | + | 0.787271i | ||||
\(681\) | 30.8626 | − | 13.1411i | 1.18266 | − | 0.503568i | ||||
\(682\) | 1.35563 | + | 1.35563i | 0.0519099 | + | 0.0519099i | ||||
\(683\) | −9.69531 | + | 36.1834i | −0.370981 | + | 1.38452i | 0.488148 | + | 0.872761i | \(0.337673\pi\) |
−0.859129 | + | 0.511759i | \(0.828994\pi\) | |||||||
\(684\) | −13.7119 | + | 0.270000i | −0.524287 | + | 0.0103237i | ||||
\(685\) | 17.1321 | + | 29.6737i | 0.654584 | + | 1.13377i | ||||
\(686\) | 9.94388 | + | 17.2233i | 0.379659 | + | 0.657589i | ||||
\(687\) | 35.9553 | + | 27.0313i | 1.37178 | + | 1.03131i | ||||
\(688\) | 2.02114 | − | 1.16691i | 0.0770554 | − | 0.0444880i | ||||
\(689\) | 3.05912 | + | 29.6941i | 0.116543 | + | 1.13125i | ||||
\(690\) | −22.0172 | − | 28.1160i | −0.838182 | − | 1.07036i | ||||
\(691\) | 12.0361 | − | 44.9193i | 0.457875 | − | 1.70881i | −0.221621 | − | 0.975133i | \(-0.571135\pi\) |
0.679496 | − | 0.733679i | \(-0.262199\pi\) | |||||||
\(692\) | −14.2313 | − | 8.21647i | −0.540994 | − | 0.312343i | ||||
\(693\) | −1.12481 | + | 4.55470i | −0.0427279 | + | 0.173019i | ||||
\(694\) | 1.77989 | + | 1.77989i | 0.0675636 | + | 0.0675636i | ||||
\(695\) | −47.5875 | + | 47.5875i | −1.80510 | + | 1.80510i | ||||
\(696\) | −10.9049 | − | 8.19833i | −0.413349 | − | 0.310757i | ||||
\(697\) | 40.2424 | + | 10.7829i | 1.52429 | + | 0.408433i | ||||
\(698\) | −15.4081 | − | 8.89589i | −0.583206 | − | 0.336714i | ||||
\(699\) | −19.1336 | − | 7.70562i | −0.723700 | − | 0.291453i | ||||
\(700\) | −6.95539 | − | 1.86369i | −0.262889 | − | 0.0704409i | ||||
\(701\) | 27.1053 | 1.02375 | 0.511876 | − | 0.859059i | \(-0.328951\pi\) | ||||
0.511876 | + | 0.859059i | \(0.328951\pi\) | |||||||
\(702\) | 4.87235 | + | 18.0903i | 0.183895 | + | 0.682776i | ||||
\(703\) | 37.0318 | 1.39668 | ||||||||
\(704\) | 0.774238 | + | 0.207457i | 0.0291802 | + | 0.00781881i | ||||
\(705\) | −25.2467 | − | 10.1675i | −0.950844 | − | 0.382930i | ||||
\(706\) | 2.70316 | + | 1.56067i | 0.101735 | + | 0.0587365i | ||||
\(707\) | 25.7123 | + | 6.88960i | 0.967012 | + | 0.259110i | ||||
\(708\) | −12.2217 | − | 9.18831i | −0.459319 | − | 0.345318i | ||||
\(709\) | 32.1360 | − | 32.1360i | 1.20689 | − | 1.20689i | 0.234865 | − | 0.972028i | \(-0.424535\pi\) |
0.972028 | − | 0.234865i | \(-0.0754647\pi\) | |||||||
\(710\) | 5.55285 | + | 5.55285i | 0.208395 | + | 0.208395i | ||||
\(711\) | 3.19604 | − | 0.924186i | 0.119861 | − | 0.0346597i | ||||
\(712\) | 2.54690 | + | 1.47046i | 0.0954492 | + | 0.0551076i | ||||
\(713\) | 4.32946 | − | 16.1578i | 0.162140 | − | 0.605113i | ||||
\(714\) | −16.7535 | − | 21.3941i | −0.626982 | − | 0.800655i | ||||
\(715\) | −3.48136 | + | 7.77610i | −0.130196 | + | 0.290810i | ||||
\(716\) | −5.24575 | + | 3.02863i | −0.196043 | + | 0.113185i | ||||
\(717\) | 12.8491 | + | 9.65997i | 0.479857 | + | 0.360758i | ||||
\(718\) | −10.1553 | − | 17.5895i | −0.378993 | − | 0.656435i | ||||
\(719\) | −10.2199 | − | 17.7014i | −0.381138 | − | 0.660150i | 0.610087 | − | 0.792334i | \(-0.291134\pi\) |
−0.991225 | + | 0.132184i | \(0.957801\pi\) | |||||||
\(720\) | −4.27037 | + | 7.74472i | −0.159147 | + | 0.288629i | ||||
\(721\) | 6.80276 | − | 25.3882i | 0.253348 | − | 0.945508i | ||||
\(722\) | 1.34259 | + | 1.34259i | 0.0499660 | + | 0.0499660i | ||||
\(723\) | −15.6052 | + | 6.64462i | −0.580365 | + | 0.247116i | ||||
\(724\) | 6.12433 | − | 10.6077i | 0.227609 | − | 0.394230i | ||||
\(725\) | 29.0711 | 1.07967 | ||||||||
\(726\) | −7.02807 | − | 16.5058i | −0.260836 | − | 0.612587i | ||||
\(727\) | 25.7087 | + | 14.8430i | 0.953485 | + | 0.550495i | 0.894162 | − | 0.447744i | \(-0.147773\pi\) |
0.0593229 | + | 0.998239i | \(0.481106\pi\) | |||||||
\(728\) | −6.99748 | + | 0.720889i | −0.259344 | + | 0.0267179i | ||||
\(729\) | −17.9316 | + | 20.1856i | −0.664133 | + | 0.747615i | ||||
\(730\) | −22.8855 | + | 6.13215i | −0.847030 | + | 0.226961i | ||||
\(731\) | −16.2524 | + | 9.38330i | −0.601115 | + | 0.347054i | ||||
\(732\) | −5.27445 | − | 6.73546i | −0.194949 | − | 0.248950i | ||||
\(733\) | −0.441496 | + | 1.64769i | −0.0163070 | + | 0.0608587i | −0.973600 | − | 0.228261i | \(-0.926696\pi\) |
0.957293 | + | 0.289120i | \(0.0933626\pi\) | |||||||
\(734\) | 6.00990 | + | 22.4293i | 0.221829 | + | 0.827879i | ||||
\(735\) | −9.79887 | + | 13.0338i | −0.361437 | + | 0.480760i | ||||
\(736\) | −1.81012 | − | 6.75546i | −0.0667219 | − | 0.249009i | ||||
\(737\) | 0.538965 | − | 0.311172i | 0.0198530 | − | 0.0114622i | ||||
\(738\) | 15.0899 | + | 3.72654i | 0.555469 | + | 0.137176i | ||||
\(739\) | −12.2243 | − | 45.6218i | −0.449679 | − | 1.67822i | −0.703279 | − | 0.710914i | \(-0.748281\pi\) |
0.253600 | − | 0.967309i | \(-0.418385\pi\) | |||||||
\(740\) | 11.9403 | − | 20.6812i | 0.438933 | − | 0.760255i | ||||
\(741\) | 14.7269 | − | 24.4575i | 0.541007 | − | 0.898467i | ||||
\(742\) | −8.07649 | − | 13.9889i | −0.296497 | − | 0.513548i | ||||
\(743\) | −22.8373 | + | 22.8373i | −0.837819 | + | 0.837819i | −0.988571 | − | 0.150753i | \(-0.951830\pi\) |
0.150753 | + | 0.988571i | \(0.451830\pi\) | |||||||
\(744\) | −4.10177 | + | 0.581142i | −0.150378 | + | 0.0213057i | ||||
\(745\) | 22.9428i | 0.840558i | ||||||||
\(746\) | 17.8997 | − | 17.8997i | 0.655355 | − | 0.655355i | ||||
\(747\) | −3.43818 | + | 6.23548i | −0.125797 | + | 0.228144i | ||||
\(748\) | −6.22578 | − | 1.66819i | −0.227637 | − | 0.0609952i | ||||
\(749\) | −34.9309 | + | 9.35972i | −1.27635 | + | 0.341997i | ||||
\(750\) | 0.937788 | + | 6.61903i | 0.0342432 | + | 0.241693i | ||||
\(751\) | 36.8858i | 1.34598i | 0.739651 | + | 0.672991i | \(0.234991\pi\) | ||||
−0.739651 | + | 0.672991i | \(0.765009\pi\) | |||||||
\(752\) | −3.76910 | − | 3.76910i | −0.137445 | − | 0.137445i | ||||
\(753\) | 3.42806 | + | 24.1957i | 0.124925 | + | 0.881740i | ||||
\(754\) | 26.5346 | − | 10.1230i | 0.966333 | − | 0.368658i | ||||
\(755\) | 23.4303i | 0.852717i | ||||||||
\(756\) | −6.40631 | − | 7.85712i | −0.232995 | − | 0.285761i | ||||
\(757\) | −6.73813 | + | 11.6708i | −0.244902 | + | 0.424182i | −0.962104 | − | 0.272683i | \(-0.912089\pi\) |
0.717202 | + | 0.696865i | \(0.245422\pi\) | |||||||
\(758\) | 23.0723 | 0.838025 | ||||||||
\(759\) | 5.83473 | − | 7.76097i | 0.211787 | − | 0.281706i | ||||
\(760\) | 13.0176 | − | 3.48807i | 0.472199 | − | 0.126525i | ||||
\(761\) | −39.5762 | + | 10.6044i | −1.43463 | + | 0.384409i | −0.890651 | − | 0.454687i | \(-0.849751\pi\) |
−0.543983 | + | 0.839096i | \(0.683085\pi\) | |||||||
\(762\) | −1.51858 | − | 3.56647i | −0.0550124 | − | 0.129199i | ||||
\(763\) | −11.6732 | −0.422599 | ||||||||
\(764\) | 0.210355 | − | 0.364345i | 0.00761037 | − | 0.0131815i | ||||
\(765\) | 34.3388 | − | 62.2766i | 1.24152 | − | 2.25162i | ||||
\(766\) | 23.8524i | 0.861821i | ||||||||
\(767\) | 29.7388 | − | 11.3454i | 1.07380 | − | 0.409658i | ||||
\(768\) | −1.36368 | + | 1.06788i | −0.0492076 | + | 0.0385339i | ||||
\(769\) | −15.4846 | − | 15.4846i | −0.558390 | − | 0.558390i | 0.370459 |