Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 181.19 | ||
Character | \(\chi\) | \(=\) | 384.181 |
Dual form | 384.2.v.a.157.19 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.393338 | − | 1.35841i | 0.278132 | − | 0.960543i | ||||
\(3\) | −0.0980171 | − | 0.995185i | −0.0565902 | − | 0.574570i | ||||
\(4\) | −1.69057 | − | 1.06863i | −0.845285 | − | 0.534315i | ||||
\(5\) | 0.0758469 | + | 0.0405410i | 0.0339198 | + | 0.0181305i | 0.488269 | − | 0.872693i | \(-0.337628\pi\) |
−0.454350 | + | 0.890823i | \(0.650128\pi\) | |||||||
\(6\) | −1.39043 | − | 0.258296i | −0.567639 | − | 0.105449i | ||||
\(7\) | 0.343293 | − | 1.72585i | 0.129753 | − | 0.652311i | −0.860090 | − | 0.510143i | \(-0.829593\pi\) |
0.989843 | − | 0.142168i | \(-0.0454074\pi\) | |||||||
\(8\) | −2.11661 | + | 1.87616i | −0.748334 | + | 0.663322i | ||||
\(9\) | −0.980785 | + | 0.195090i | −0.326928 | + | 0.0650301i | ||||
\(10\) | 0.0849049 | − | 0.0870850i | 0.0268493 | − | 0.0275387i | ||||
\(11\) | −0.408313 | − | 0.497531i | −0.123111 | − | 0.150011i | 0.707807 | − | 0.706405i | \(-0.249684\pi\) |
−0.830918 | + | 0.556394i | \(0.812184\pi\) | |||||||
\(12\) | −0.897780 | + | 1.78717i | −0.259167 | + | 0.515913i | ||||
\(13\) | −2.79626 | − | 5.23144i | −0.775544 | − | 1.45094i | −0.889248 | − | 0.457426i | \(-0.848771\pi\) |
0.113704 | − | 0.993515i | \(-0.463729\pi\) | |||||||
\(14\) | −2.20939 | − | 1.14518i | −0.590484 | − | 0.306061i | ||||
\(15\) | 0.0329115 | − | 0.0794554i | 0.00849771 | − | 0.0205153i | ||||
\(16\) | 1.71606 | + | 3.61319i | 0.429014 | + | 0.903298i | ||||
\(17\) | −2.17854 | − | 5.25946i | −0.528373 | − | 1.27561i | −0.932588 | − | 0.360942i | \(-0.882455\pi\) |
0.404215 | − | 0.914664i | \(-0.367545\pi\) | |||||||
\(18\) | −0.120767 | + | 1.40905i | −0.0284650 | + | 0.332116i | ||||
\(19\) | −2.13712 | + | 7.04513i | −0.490288 | + | 1.61626i | 0.267357 | + | 0.963598i | \(0.413850\pi\) |
−0.757645 | + | 0.652667i | \(0.773650\pi\) | |||||||
\(20\) | −0.0849011 | − | 0.149590i | −0.0189845 | − | 0.0334493i | ||||
\(21\) | −1.75119 | − | 0.172477i | −0.382141 | − | 0.0376376i | ||||
\(22\) | −0.836458 | + | 0.358960i | −0.178333 | + | 0.0765305i | ||||
\(23\) | 4.54100 | + | 3.03420i | 0.946864 | + | 0.632674i | 0.930148 | − | 0.367186i | \(-0.119679\pi\) |
0.0167164 | + | 0.999860i | \(0.494679\pi\) | |||||||
\(24\) | 2.07459 | + | 1.92252i | 0.423474 | + | 0.392433i | ||||
\(25\) | −2.77374 | − | 4.15120i | −0.554748 | − | 0.830240i | ||||
\(26\) | −8.20633 | + | 1.74076i | −1.60939 | + | 0.341390i | ||||
\(27\) | 0.290285 | + | 0.956940i | 0.0558653 | + | 0.184163i | ||||
\(28\) | −2.42466 | + | 2.55082i | −0.458218 | + | 0.482060i | ||||
\(29\) | 7.83321 | + | 6.42855i | 1.45459 | + | 1.19375i | 0.942223 | + | 0.334987i | \(0.108732\pi\) |
0.512368 | + | 0.858766i | \(0.328768\pi\) | |||||||
\(30\) | −0.0949878 | − | 0.0759602i | −0.0173423 | − | 0.0138684i | ||||
\(31\) | −2.19208 | − | 2.19208i | −0.393708 | − | 0.393708i | 0.482298 | − | 0.876007i | \(-0.339802\pi\) |
−0.876007 | + | 0.482298i | \(0.839802\pi\) | |||||||
\(32\) | 5.58320 | − | 0.909908i | 0.986979 | − | 0.160851i | ||||
\(33\) | −0.455114 | + | 0.455114i | −0.0792251 | + | 0.0792251i | ||||
\(34\) | −8.00141 | + | 0.890610i | −1.37223 | + | 0.152738i | ||||
\(35\) | 0.0960055 | − | 0.116983i | 0.0162279 | − | 0.0197737i | ||||
\(36\) | 1.86657 | + | 0.718283i | 0.311094 | + | 0.119714i | ||||
\(37\) | 0.0550612 | − | 0.0167026i | 0.00905201 | − | 0.00274590i | −0.285755 | − | 0.958303i | \(-0.592244\pi\) |
0.294807 | + | 0.955557i | \(0.404744\pi\) | |||||||
\(38\) | 8.72959 | + | 5.67421i | 1.41613 | + | 0.920478i | ||||
\(39\) | −4.93217 | + | 3.29557i | −0.789779 | + | 0.527713i | ||||
\(40\) | −0.236599 | + | 0.0564915i | −0.0374097 | + | 0.00893208i | ||||
\(41\) | 5.89975 | − | 8.82959i | 0.921385 | − | 1.37895i | −0.00402799 | − | 0.999992i | \(-0.501282\pi\) |
0.925413 | − | 0.378959i | \(-0.123718\pi\) | |||||||
\(42\) | −0.923105 | + | 2.31100i | −0.142438 | + | 0.356595i | ||||
\(43\) | 1.13140 | − | 11.4873i | 0.172537 | − | 1.75180i | −0.386161 | − | 0.922431i | \(-0.626199\pi\) |
0.558699 | − | 0.829371i | \(-0.311301\pi\) | |||||||
\(44\) | 0.158605 | + | 1.27745i | 0.0239106 | + | 0.192582i | ||||
\(45\) | −0.0822987 | − | 0.0249650i | −0.0122684 | − | 0.00372157i | ||||
\(46\) | 5.90784 | − | 4.97509i | 0.871064 | − | 0.733536i | ||||
\(47\) | −2.08506 | + | 0.863662i | −0.304138 | + | 0.125978i | −0.529533 | − | 0.848289i | \(-0.677633\pi\) |
0.225395 | + | 0.974267i | \(0.427633\pi\) | |||||||
\(48\) | 3.42759 | − | 2.06195i | 0.494730 | − | 0.297617i | ||||
\(49\) | 3.60644 | + | 1.49384i | 0.515206 | + | 0.213405i | ||||
\(50\) | −6.73006 | + | 2.13506i | −0.951774 | + | 0.301943i | ||||
\(51\) | −5.02060 | + | 2.68356i | −0.703024 | + | 0.375774i | ||||
\(52\) | −0.863198 | + | 11.8323i | −0.119704 | + | 1.64084i | ||||
\(53\) | 2.73594 | − | 2.24533i | 0.375810 | − | 0.308419i | −0.427460 | − | 0.904034i | \(-0.640592\pi\) |
0.803270 | + | 0.595615i | \(0.203092\pi\) | |||||||
\(54\) | 1.41410 | − | 0.0179254i | 0.192435 | − | 0.00243934i | ||||
\(55\) | −0.0107989 | − | 0.0542896i | −0.00145612 | − | 0.00732041i | ||||
\(56\) | 2.51136 | + | 4.29702i | 0.335594 | + | 0.574214i | ||||
\(57\) | 7.22068 | + | 1.43628i | 0.956403 | + | 0.190240i | ||||
\(58\) | 11.8137 | − | 8.11214i | 1.55122 | − | 1.06518i | ||||
\(59\) | −0.326629 | + | 0.611080i | −0.0425234 | + | 0.0795558i | −0.902285 | − | 0.431139i | \(-0.858112\pi\) |
0.859762 | + | 0.510695i | \(0.170612\pi\) | |||||||
\(60\) | −0.140548 | + | 0.0991547i | −0.0181446 | + | 0.0128008i | ||||
\(61\) | −5.56994 | + | 0.548591i | −0.713157 | + | 0.0702399i | −0.448088 | − | 0.893989i | \(-0.647895\pi\) |
−0.265069 | + | 0.964229i | \(0.585395\pi\) | |||||||
\(62\) | −3.83997 | + | 2.11552i | −0.487677 | + | 0.268671i | ||||
\(63\) | 1.75966i | 0.221697i | ||||||||
\(64\) | 0.960052 | − | 7.94218i | 0.120007 | − | 0.992773i | ||||
\(65\) | − | 0.510152i | − | 0.0632765i | ||||||
\(66\) | 0.439219 | + | 0.797246i | 0.0540641 | + | 0.0981341i | ||||
\(67\) | 0.335798 | − | 0.0330732i | 0.0410242 | − | 0.00404053i | −0.0774842 | − | 0.996994i | \(-0.524689\pi\) |
0.118508 | + | 0.992953i | \(0.462189\pi\) | |||||||
\(68\) | −1.93744 | + | 11.2195i | −0.234950 | + | 1.36057i | ||||
\(69\) | 2.57449 | − | 4.81654i | 0.309932 | − | 0.579843i | ||||
\(70\) | −0.121149 | − | 0.176429i | −0.0144800 | − | 0.0210873i | ||||
\(71\) | 1.43346 | + | 0.285133i | 0.170121 | + | 0.0338391i | 0.279416 | − | 0.960170i | \(-0.409859\pi\) |
−0.109295 | + | 0.994009i | \(0.534859\pi\) | |||||||
\(72\) | 1.70992 | − | 2.25304i | 0.201516 | − | 0.265523i | ||||
\(73\) | −1.95656 | − | 9.83631i | −0.228999 | − | 1.15125i | −0.908599 | − | 0.417671i | \(-0.862847\pi\) |
0.679600 | − | 0.733583i | \(-0.262153\pi\) | |||||||
\(74\) | −0.00103141 | − | 0.0813657i | −0.000119899 | − | 0.00945857i | ||||
\(75\) | −3.85933 | + | 3.16727i | −0.445638 | + | 0.365725i | ||||
\(76\) | 11.1416 | − | 9.62650i | 1.27803 | − | 1.10424i | ||||
\(77\) | −0.998836 | + | 0.533889i | −0.113828 | + | 0.0608423i | ||||
\(78\) | 2.53673 | + | 7.99619i | 0.287229 | + | 0.905391i | ||||
\(79\) | 9.00287 | + | 3.72911i | 1.01290 | + | 0.419558i | 0.826513 | − | 0.562918i | \(-0.190321\pi\) |
0.186390 | + | 0.982476i | \(0.440321\pi\) | |||||||
\(80\) | −0.0163248 | + | 0.343620i | −0.00182517 | + | 0.0384179i | ||||
\(81\) | 0.923880 | − | 0.382683i | 0.102653 | − | 0.0425204i | ||||
\(82\) | −9.67364 | − | 11.4873i | −1.06827 | − | 1.26856i | ||||
\(83\) | 8.17302 | + | 2.47926i | 0.897106 | + | 0.272134i | 0.704972 | − | 0.709235i | \(-0.250959\pi\) |
0.192133 | + | 0.981369i | \(0.438459\pi\) | |||||||
\(84\) | 2.77620 | + | 2.16296i | 0.302908 | + | 0.235998i | ||||
\(85\) | 0.0479883 | − | 0.487233i | 0.00520506 | − | 0.0528479i | ||||
\(86\) | −15.1595 | − | 6.05532i | −1.63469 | − | 0.652962i | ||||
\(87\) | 5.62981 | − | 8.42560i | 0.603579 | − | 0.903320i | ||||
\(88\) | 1.79769 | + | 0.287017i | 0.191634 | + | 0.0305961i | ||||
\(89\) | 10.7045 | − | 7.15255i | 1.13468 | − | 0.758168i | 0.161195 | − | 0.986923i | \(-0.448465\pi\) |
0.973484 | + | 0.228754i | \(0.0734652\pi\) | |||||||
\(90\) | −0.0662840 | + | 0.101976i | −0.00698695 | + | 0.0107492i | ||||
\(91\) | −9.98863 | + | 3.03002i | −1.04709 | + | 0.317632i | ||||
\(92\) | −4.43444 | − | 9.98218i | −0.462322 | − | 1.04071i | ||||
\(93\) | −1.96666 | + | 2.39638i | −0.203933 | + | 0.248493i | ||||
\(94\) | 0.353074 | + | 3.17209i | 0.0364168 | + | 0.327176i | ||||
\(95\) | −0.447710 | + | 0.447710i | −0.0459341 | + | 0.0459341i | ||||
\(96\) | −1.45278 | − | 5.46712i | −0.148273 | − | 0.557986i | ||||
\(97\) | −9.87917 | − | 9.87917i | −1.00308 | − | 1.00308i | −0.999995 | − | 0.00308208i | \(-0.999019\pi\) |
−0.00308208 | − | 0.999995i | \(-0.500981\pi\) | |||||||
\(98\) | 3.44780 | − | 4.31146i | 0.348280 | − | 0.435523i | ||||
\(99\) | 0.497531 | + | 0.408313i | 0.0500037 | + | 0.0410370i | ||||
\(100\) | 0.253108 | + | 9.98200i | 0.0253108 | + | 0.998200i | ||||
\(101\) | 5.11500 | + | 16.8619i | 0.508962 | + | 1.67782i | 0.714875 | + | 0.699252i | \(0.246484\pi\) |
−0.205913 | + | 0.978570i | \(0.566016\pi\) | |||||||
\(102\) | 1.67060 | + | 7.87559i | 0.165414 | + | 0.779800i | ||||
\(103\) | 4.12740 | + | 6.17710i | 0.406685 | + | 0.608648i | 0.977118 | − | 0.212697i | \(-0.0682246\pi\) |
−0.570433 | + | 0.821344i | \(0.693225\pi\) | |||||||
\(104\) | 15.7336 | + | 5.82667i | 1.54281 | + | 0.571352i | ||||
\(105\) | −0.125830 | − | 0.0840768i | −0.0122797 | − | 0.00820506i | ||||
\(106\) | −1.97393 | − | 4.59971i | −0.191725 | − | 0.446763i | ||||
\(107\) | −10.3515 | − | 1.01954i | −1.00072 | − | 0.0985622i | −0.415632 | − | 0.909533i | \(-0.636440\pi\) |
−0.585087 | + | 0.810971i | \(0.698940\pi\) | |||||||
\(108\) | 0.531869 | − | 1.92798i | 0.0511791 | − | 0.185520i | ||||
\(109\) | −0.414956 | + | 1.36792i | −0.0397455 | + | 0.131023i | −0.974568 | − | 0.224092i | \(-0.928058\pi\) |
0.934822 | + | 0.355115i | \(0.115558\pi\) | |||||||
\(110\) | −0.0779953 | − | 0.00668484i | −0.00743656 | − | 0.000637374i | ||||
\(111\) | −0.0220192 | − | 0.0531590i | −0.00208997 | − | 0.00504563i | ||||
\(112\) | 6.82494 | − | 1.72128i | 0.644896 | − | 0.162645i | ||||
\(113\) | −3.46452 | + | 8.36410i | −0.325915 | + | 0.786828i | 0.672972 | + | 0.739668i | \(0.265017\pi\) |
−0.998887 | + | 0.0471607i | \(0.984983\pi\) | |||||||
\(114\) | 4.79123 | − | 9.24372i | 0.448740 | − | 0.865754i | ||||
\(115\) | 0.221411 | + | 0.414231i | 0.0206467 | + | 0.0386273i | ||||
\(116\) | −6.37285 | − | 19.2387i | −0.591704 | − | 1.78627i | ||||
\(117\) | 3.76314 | + | 4.58540i | 0.347902 | + | 0.423920i | ||||
\(118\) | 0.701623 | + | 0.684058i | 0.0645896 | + | 0.0629726i | ||||
\(119\) | −9.82492 | + | 1.95430i | −0.900649 | + | 0.179150i | ||||
\(120\) | 0.0794102 | + | 0.229923i | 0.00724913 | + | 0.0209890i | ||||
\(121\) | 2.06518 | − | 10.3823i | 0.187743 | − | 0.943849i | ||||
\(122\) | −1.44565 | + | 7.78205i | −0.130883 | + | 0.704554i | ||||
\(123\) | −9.36535 | − | 5.00589i | −0.844445 | − | 0.451365i | ||||
\(124\) | 1.36334 | + | 6.04838i | 0.122431 | + | 0.543160i | ||||
\(125\) | −0.0842342 | − | 0.855244i | −0.00753414 | − | 0.0764954i | ||||
\(126\) | 2.39035 | + | 0.692142i | 0.212949 | + | 0.0616609i | ||||
\(127\) | 4.93368 | 0.437793 | 0.218897 | − | 0.975748i | \(-0.429754\pi\) | ||||
0.218897 | + | 0.975748i | \(0.429754\pi\) | |||||||
\(128\) | −10.4111 | − | 4.42811i | −0.920223 | − | 0.391393i | ||||
\(129\) | −11.5429 | −1.01630 | ||||||||
\(130\) | −0.692997 | − | 0.200662i | −0.0607798 | − | 0.0175992i | ||||
\(131\) | 0.988706 | + | 10.0385i | 0.0863837 | + | 0.877068i | 0.936545 | + | 0.350546i | \(0.114004\pi\) |
−0.850162 | + | 0.526522i | \(0.823496\pi\) | |||||||
\(132\) | 1.25575 | − | 0.283053i | 0.109299 | − | 0.0246366i | ||||
\(133\) | 11.4252 | + | 6.10689i | 0.990690 | + | 0.529535i | ||||
\(134\) | 0.0871549 | − | 0.469161i | 0.00752904 | − | 0.0405293i | ||||
\(135\) | −0.0167781 | + | 0.0843494i | −0.00144403 | + | 0.00725964i | ||||
\(136\) | 14.4787 | + | 7.04492i | 1.24154 | + | 0.604097i | ||||
\(137\) | 5.24664 | − | 1.04362i | 0.448251 | − | 0.0891626i | 0.0341972 | − | 0.999415i | \(-0.489113\pi\) |
0.414054 | + | 0.910252i | \(0.364113\pi\) | |||||||
\(138\) | −5.53020 | − | 5.39175i | −0.470762 | − | 0.458976i | ||||
\(139\) | 7.37910 | + | 8.99146i | 0.625887 | + | 0.762646i | 0.985356 | − | 0.170511i | \(-0.0545419\pi\) |
−0.359468 | + | 0.933157i | \(0.617042\pi\) | |||||||
\(140\) | −0.287316 | + | 0.0951736i | −0.0242826 | + | 0.00804364i | ||||
\(141\) | 1.06388 | + | 1.99037i | 0.0895944 | + | 0.167619i | ||||
\(142\) | 0.951164 | − | 1.83508i | 0.0798199 | − | 0.153996i | ||||
\(143\) | −1.46105 | + | 3.52729i | −0.122179 | + | 0.294967i | ||||
\(144\) | −2.38798 | − | 3.20898i | −0.198998 | − | 0.267415i | ||||
\(145\) | 0.333505 | + | 0.805152i | 0.0276961 | + | 0.0668642i | ||||
\(146\) | −14.1314 | − | 1.21117i | −1.16952 | − | 0.100237i | ||||
\(147\) | 1.13315 | − | 3.73550i | 0.0934607 | − | 0.308099i | ||||
\(148\) | −0.110934 | − | 0.0306031i | −0.00911871 | − | 0.00251556i | ||||
\(149\) | 9.26431 | + | 0.912455i | 0.758962 | + | 0.0747512i | 0.470092 | − | 0.882617i | \(-0.344221\pi\) |
0.288869 | + | 0.957368i | \(0.406721\pi\) | |||||||
\(150\) | 2.78444 | + | 6.48838i | 0.227349 | + | 0.529774i | ||||
\(151\) | 12.3984 | + | 8.28436i | 1.00897 | + | 0.674172i | 0.946108 | − | 0.323850i | \(-0.104977\pi\) |
0.0628614 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(152\) | −8.69435 | − | 18.9214i | −0.705205 | − | 1.53472i | ||||
\(153\) | 3.16275 | + | 4.73339i | 0.255693 | + | 0.382672i | ||||
\(154\) | 0.332361 | + | 1.56683i | 0.0267824 | + | 0.126259i | ||||
\(155\) | −0.0773932 | − | 0.255131i | −0.00621637 | − | 0.0204926i | ||||
\(156\) | 11.8599 | − | 0.300726i | 0.949554 | − | 0.0240773i | ||||
\(157\) | −5.08205 | − | 4.17073i | −0.405592 | − | 0.332861i | 0.409377 | − | 0.912365i | \(-0.365746\pi\) |
−0.814969 | + | 0.579505i | \(0.803246\pi\) | |||||||
\(158\) | 8.60685 | − | 10.7628i | 0.684724 | − | 0.856244i | ||||
\(159\) | −2.50268 | − | 2.50268i | −0.198476 | − | 0.198476i | ||||
\(160\) | 0.460356 | + | 0.157335i | 0.0363944 | + | 0.0124384i | ||||
\(161\) | 6.79547 | − | 6.79547i | 0.535558 | − | 0.535558i | ||||
\(162\) | −0.156445 | − | 1.40553i | −0.0122915 | − | 0.110429i | ||||
\(163\) | −7.84766 | + | 9.56240i | −0.614676 | + | 0.748985i | −0.983578 | − | 0.180484i | \(-0.942234\pi\) |
0.368902 | + | 0.929468i | \(0.379734\pi\) | |||||||
\(164\) | −19.4095 | + | 8.62240i | −1.51563 | + | 0.673296i | ||||
\(165\) | −0.0529697 | + | 0.0160682i | −0.00412369 | + | 0.00125091i | ||||
\(166\) | 6.58262 | − | 10.1271i | 0.510910 | − | 0.786019i | ||||
\(167\) | 8.83957 | − | 5.90641i | 0.684026 | − | 0.457052i | −0.164380 | − | 0.986397i | \(-0.552562\pi\) |
0.848406 | + | 0.529345i | \(0.177562\pi\) | |||||||
\(168\) | 4.03018 | − | 2.92044i | 0.310935 | − | 0.225317i | ||||
\(169\) | −12.3265 | + | 18.4479i | −0.948190 | + | 1.41907i | ||||
\(170\) | −0.642988 | − | 0.256835i | −0.0493150 | − | 0.0196984i | ||||
\(171\) | 0.721616 | − | 7.32669i | 0.0551834 | − | 0.560286i | ||||
\(172\) | −14.1884 | + | 18.2111i | −1.08186 | + | 1.38858i | ||||
\(173\) | −4.50296 | − | 1.36596i | −0.342354 | − | 0.103852i | 0.114426 | − | 0.993432i | \(-0.463497\pi\) |
−0.456780 | + | 0.889580i | \(0.650997\pi\) | |||||||
\(174\) | −9.23103 | − | 10.9617i | −0.699803 | − | 0.831005i | ||||
\(175\) | −8.11656 | + | 3.36199i | −0.613554 | + | 0.254142i | ||||
\(176\) | 1.09699 | − | 2.32910i | 0.0826884 | − | 0.175563i | ||||
\(177\) | 0.640152 | + | 0.265160i | 0.0481168 | + | 0.0199306i | ||||
\(178\) | −5.50561 | − | 17.3546i | −0.412663 | − | 1.30078i | ||||
\(179\) | −14.2415 | + | 7.61222i | −1.06446 | + | 0.568964i | −0.908107 | − | 0.418738i | \(-0.862473\pi\) |
−0.156349 | + | 0.987702i | \(0.549973\pi\) | |||||||
\(180\) | 0.112453 | + | 0.130152i | 0.00838177 | + | 0.00970096i | ||||
\(181\) | −11.5667 | + | 9.49253i | −0.859745 | + | 0.705574i | −0.957126 | − | 0.289673i | \(-0.906454\pi\) |
0.0973809 | + | 0.995247i | \(0.468954\pi\) | |||||||
\(182\) | 0.187107 | + | 14.7605i | 0.0138693 | + | 1.09412i | ||||
\(183\) | 1.09190 | + | 5.48934i | 0.0807155 | + | 0.405784i | ||||
\(184\) | −15.3042 | + | 2.09743i | −1.12824 | + | 0.154625i | ||||
\(185\) | 0.00485337 | 0.000965394i | 0.000356827 | 7.09772e-5i | ||||||
\(186\) | 2.48171 | + | 3.61412i | 0.181968 | + | 0.265000i | ||||
\(187\) | −1.72722 | + | 3.23140i | −0.126307 | + | 0.236303i | ||||
\(188\) | 4.44788 | + | 0.768082i | 0.324395 | + | 0.0560182i | ||||
\(189\) | 1.75119 | − | 0.172477i | 0.127380 | − | 0.0125459i | ||||
\(190\) | 0.432074 | + | 0.784277i | 0.0313459 | + | 0.0568974i | ||||
\(191\) | − | 14.7815i | − | 1.06955i | −0.844994 | − | 0.534776i | \(-0.820396\pi\) | ||
0.844994 | − | 0.534776i | \(-0.179604\pi\) | |||||||
\(192\) | −7.99804 | − | 0.176959i | −0.577209 | − | 0.0127709i | ||||
\(193\) | 7.97478i | 0.574037i | 0.957925 | + | 0.287019i | \(0.0926642\pi\) | ||||
−0.957925 | + | 0.287019i | \(0.907336\pi\) | |||||||
\(194\) | −17.3058 | + | 9.53413i | −1.24249 | + | 0.684511i | ||||
\(195\) | −0.507695 | + | 0.0500036i | −0.0363568 | + | 0.00358083i | ||||
\(196\) | −4.50059 | − | 6.37939i | −0.321470 | − | 0.455671i | ||||
\(197\) | −6.19274 | + | 11.5858i | −0.441214 | + | 0.825454i | −0.999993 | − | 0.00386328i | \(-0.998770\pi\) |
0.558778 | + | 0.829317i | \(0.311270\pi\) | |||||||
\(198\) | 0.750356 | − | 0.515247i | 0.0533255 | − | 0.0366170i | ||||
\(199\) | 6.13307 | + | 1.21994i | 0.434762 | + | 0.0864795i | 0.407619 | − | 0.913152i | \(-0.366359\pi\) |
0.0271428 | + | 0.999632i | \(0.491359\pi\) | |||||||
\(200\) | 13.6592 | + | 3.58247i | 0.965854 | + | 0.253319i | ||||
\(201\) | −0.0658278 | − | 0.330939i | −0.00464314 | − | 0.0233426i | ||||
\(202\) | 24.9174 | − | 0.315857i | 1.75318 | − | 0.0222236i | ||||
\(203\) | 13.7838 | − | 11.3121i | 0.967434 | − | 0.793953i | ||||
\(204\) | 11.3554 | + | 0.828408i | 0.795038 | + | 0.0580002i | ||||
\(205\) | 0.805438 | − | 0.430515i | 0.0562542 | − | 0.0300685i | ||||
\(206\) | 10.0145 | − | 3.17703i | 0.697744 | − | 0.221354i | ||||
\(207\) | −5.04569 | − | 2.08999i | −0.350700 | − | 0.145265i | ||||
\(208\) | 14.1036 | − | 19.0809i | 0.977912 | − | 1.32302i | ||||
\(209\) | 4.37779 | − | 1.81334i | 0.302818 | − | 0.125431i | ||||
\(210\) | −0.163705 | + | 0.137858i | −0.0112967 | + | 0.00951313i | ||||
\(211\) | −18.0150 | − | 5.46478i | −1.24020 | − | 0.376211i | −0.399009 | − | 0.916947i | \(-0.630646\pi\) |
−0.841192 | + | 0.540736i | \(0.818146\pi\) | |||||||
\(212\) | −7.02472 | + | 0.872175i | −0.482460 | + | 0.0599012i | ||||
\(213\) | 0.143257 | − | 1.45451i | 0.00981578 | − | 0.0996612i | ||||
\(214\) | −5.45659 | + | 13.6606i | −0.373005 | + | 0.933820i | ||||
\(215\) | 0.551521 | − | 0.825410i | 0.0376134 | − | 0.0562925i | ||||
\(216\) | −2.40979 | − | 1.48085i | −0.163966 | − | 0.100759i | ||||
\(217\) | −4.53572 | + | 3.03067i | −0.307905 | + | 0.205735i | ||||
\(218\) | 1.69499 | + | 1.10174i | 0.114799 | + | 0.0746191i | ||||
\(219\) | −9.59717 | + | 2.91127i | −0.648517 | + | 0.196725i | ||||
\(220\) | −0.0397593 | + | 0.103320i | −0.00268057 | + | 0.00696586i | ||||
\(221\) | −21.4228 | + | 26.1037i | −1.44105 | + | 1.75593i | ||||
\(222\) | −0.0808728 | + | 0.00900167i | −0.00542783 | + | 0.000604153i | ||||
\(223\) | −15.1087 | + | 15.1087i | −1.01175 | + | 1.01175i | −0.0118200 | + | 0.999930i | \(0.503763\pi\) |
−0.999930 | + | 0.0118200i | \(0.996237\pi\) | |||||||
\(224\) | 0.346307 | − | 9.94813i | 0.0231386 | − | 0.664688i | ||||
\(225\) | 3.53030 | + | 3.53030i | 0.235354 | + | 0.235354i | ||||
\(226\) | 9.99917 | + | 7.99617i | 0.665135 | + | 0.531897i | ||||
\(227\) | −0.0134316 | − | 0.0110231i | −0.000891490 | − | 0.000731627i | 0.633947 | − | 0.773376i | \(-0.281434\pi\) |
−0.634839 | + | 0.772645i | \(0.718934\pi\) | |||||||
\(228\) | −10.6722 | − | 10.1444i | −0.706785 | − | 0.671828i | ||||
\(229\) | −5.95402 | − | 19.6278i | −0.393453 | − | 1.29704i | −0.900400 | − | 0.435063i | \(-0.856726\pi\) |
0.506947 | − | 0.861977i | \(-0.330774\pi\) | |||||||
\(230\) | 0.649786 | − | 0.137835i | 0.0428456 | − | 0.00908856i | ||||
\(231\) | 0.629221 | + | 0.941696i | 0.0413997 | + | 0.0619590i | ||||
\(232\) | −28.6408 | + | 1.08964i | −1.88036 | + | 0.0715382i | ||||
\(233\) | −0.452237 | − | 0.302175i | −0.0296270 | − | 0.0197961i | 0.540669 | − | 0.841236i | \(-0.318171\pi\) |
−0.570296 | + | 0.821440i | \(0.693171\pi\) | |||||||
\(234\) | 7.70905 | − | 3.30828i | 0.503956 | − | 0.216269i | ||||
\(235\) | −0.193159 | − | 0.0190245i | −0.0126003 | − | 0.00124102i | ||||
\(236\) | 1.20521 | − | 0.684027i | 0.0784523 | − | 0.0445264i | ||||
\(237\) | 2.82872 | − | 9.32504i | 0.183745 | − | 0.605726i | ||||
\(238\) | −1.20977 | + | 14.1150i | −0.0784178 | + | 0.914939i | ||||
\(239\) | 5.74816 | + | 13.8773i | 0.371817 | + | 0.897647i | 0.993443 | + | 0.114332i | \(0.0364727\pi\) |
−0.621625 | + | 0.783315i | \(0.713527\pi\) | |||||||
\(240\) | 0.343565 | − | 0.0174344i | 0.0221771 | − | 0.00112539i | ||||
\(241\) | −1.72048 | + | 4.15361i | −0.110826 | + | 0.267557i | −0.969556 | − | 0.244872i | \(-0.921254\pi\) |
0.858730 | + | 0.512429i | \(0.171254\pi\) | |||||||
\(242\) | −13.2912 | − | 6.88913i | −0.854390 | − | 0.442850i | ||||
\(243\) | −0.471397 | − | 0.881921i | −0.0302401 | − | 0.0565753i | ||||
\(244\) | 10.0026 | + | 5.02477i | 0.640352 | + | 0.321678i | ||||
\(245\) | 0.212976 | + | 0.259512i | 0.0136065 | + | 0.0165796i | ||||
\(246\) | −10.4838 | + | 10.7530i | −0.668423 | + | 0.685587i | ||||
\(247\) | 42.8321 | − | 8.51984i | 2.72534 | − | 0.542105i | ||||
\(248\) | 8.75245 | + | 0.527080i | 0.555781 | + | 0.0334696i | ||||
\(249\) | 1.66622 | − | 8.37668i | 0.105593 | − | 0.530850i | ||||
\(250\) | −1.19491 | − | 0.221975i | −0.0755726 | − | 0.0140389i | ||||
\(251\) | −9.93062 | − | 5.30803i | −0.626815 | − | 0.335040i | 0.127219 | − | 0.991875i | \(-0.459395\pi\) |
−0.754034 | + | 0.656835i | \(0.771895\pi\) | |||||||
\(252\) | 1.88043 | − | 2.97483i | 0.118456 | − | 0.187397i | ||||
\(253\) | −0.344542 | − | 3.49819i | −0.0216612 | − | 0.219929i | ||||
\(254\) | 1.94060 | − | 6.70197i | 0.121764 | − | 0.420519i | ||||
\(255\) | −0.489591 | −0.0306594 | ||||||||
\(256\) | −10.1103 | + | 12.4009i | −0.631894 | + | 0.775055i | ||||
\(257\) | −22.3343 | −1.39318 | −0.696589 | − | 0.717471i | \(-0.745300\pi\) | ||||
−0.696589 | + | 0.717471i | \(0.745300\pi\) | |||||||
\(258\) | −4.54027 | + | 15.6800i | −0.282665 | + | 0.976197i | ||||
\(259\) | −0.00992414 | − | 0.100761i | −0.000616656 | − | 0.00626101i | ||||
\(260\) | −0.545164 | + | 0.862447i | −0.0338096 | + | 0.0534867i | ||||
\(261\) | −8.93685 | − | 4.77685i | −0.553177 | − | 0.295679i | ||||
\(262\) | 14.0253 | + | 2.60545i | 0.866488 | + | 0.160965i | ||||
\(263\) | −0.830015 | + | 4.17277i | −0.0511809 | + | 0.257304i | −0.997901 | − | 0.0647528i | \(-0.979374\pi\) |
0.946720 | + | 0.322057i | \(0.104374\pi\) | |||||||
\(264\) | 0.109431 | − | 1.81716i | 0.00673502 | − | 0.111839i | ||||
\(265\) | 0.298540 | − | 0.0593833i | 0.0183392 | − | 0.00364789i | ||||
\(266\) | 12.7896 | − | 13.1181i | 0.784184 | − | 0.804320i | ||||
\(267\) | −8.16733 | − | 9.95192i | −0.499833 | − | 0.609048i | ||||
\(268\) | −0.603033 | − | 0.302931i | −0.0368361 | − | 0.0185045i | ||||
\(269\) | −5.17501 | − | 9.68176i | −0.315526 | − | 0.590307i | 0.673302 | − | 0.739367i | \(-0.264875\pi\) |
−0.988828 | + | 0.149060i | \(0.952375\pi\) | |||||||
\(270\) | 0.107982 | + | 0.0559694i | 0.00657156 | + | 0.00340619i | ||||
\(271\) | 6.17003 | − | 14.8958i | 0.374802 | − | 0.904853i | −0.618119 | − | 0.786084i | \(-0.712105\pi\) |
0.992922 | − | 0.118769i | \(-0.0378948\pi\) | |||||||
\(272\) | 15.2649 | − | 16.8970i | 0.925572 | − | 1.02453i | ||||
\(273\) | 3.99448 | + | 9.64354i | 0.241757 | + | 0.583653i | ||||
\(274\) | 0.646034 | − | 7.53760i | 0.0390284 | − | 0.455363i | ||||
\(275\) | −0.932795 | + | 3.07501i | −0.0562496 | + | 0.185430i | ||||
\(276\) | −9.49946 | + | 5.39151i | −0.571800 | + | 0.324531i | ||||
\(277\) | −3.35823 | − | 0.330757i | −0.201776 | − | 0.0198732i | −0.00337606 | − | 0.999994i | \(-0.501075\pi\) |
−0.198400 | + | 0.980121i | \(0.563575\pi\) | |||||||
\(278\) | 15.1166 | − | 6.48718i | 0.906634 | − | 0.389075i | ||||
\(279\) | 2.57761 | + | 1.72230i | 0.154317 | + | 0.103112i | ||||
\(280\) | 0.0162729 | + | 0.427729i | 0.000972491 | + | 0.0255617i | ||||
\(281\) | −1.82188 | − | 2.72664i | −0.108684 | − | 0.162657i | 0.773140 | − | 0.634235i | \(-0.218685\pi\) |
−0.881825 | + | 0.471577i | \(0.843685\pi\) | |||||||
\(282\) | 3.12221 | − | 0.662293i | 0.185925 | − | 0.0394390i | ||||
\(283\) | 2.06616 | + | 6.81121i | 0.122820 | + | 0.404884i | 0.996692 | − | 0.0812724i | \(-0.0258984\pi\) |
−0.873872 | + | 0.486157i | \(0.838398\pi\) | |||||||
\(284\) | −2.11867 | − | 2.01388i | −0.125720 | − | 0.119502i | ||||
\(285\) | 0.489438 | + | 0.401671i | 0.0289918 | + | 0.0237930i | ||||
\(286\) | 4.21683 | + | 3.37213i | 0.249347 | + | 0.199398i | ||||
\(287\) | −13.2132 | − | 13.2132i | −0.779952 | − | 0.779952i | ||||
\(288\) | −5.29840 | + | 1.98165i | −0.312211 | + | 0.116770i | ||||
\(289\) | −10.8950 | + | 10.8950i | −0.640884 | + | 0.640884i | ||||
\(290\) | 1.22491 | − | 0.136340i | 0.0719291 | − | 0.00800618i | ||||
\(291\) | −8.86327 | + | 10.7999i | −0.519574 | + | 0.633103i | ||||
\(292\) | −7.20368 | + | 18.7198i | −0.421563 | + | 1.09549i | ||||
\(293\) | 26.0396 | − | 7.89902i | 1.52125 | − | 0.461466i | 0.584478 | − | 0.811410i | \(-0.301299\pi\) |
0.936771 | + | 0.349944i | \(0.113799\pi\) | |||||||
\(294\) | −4.62864 | − | 3.00860i | −0.269948 | − | 0.175465i | ||||
\(295\) | −0.0495475 | + | 0.0331066i | −0.00288477 | + | 0.00192754i | ||||
\(296\) | −0.0852062 | + | 0.138657i | −0.00495251 | + | 0.00805925i | ||||
\(297\) | 0.357580 | − | 0.535157i | 0.0207489 | − | 0.0310530i | ||||
\(298\) | 4.88349 | − | 12.2259i | 0.282893 | − | 0.708225i | ||||
\(299\) | 3.17540 | − | 32.2404i | 0.183638 | − | 1.86451i | ||||
\(300\) | 9.90912 | − | 1.23030i | 0.572104 | − | 0.0710312i | ||||
\(301\) | −19.4370 | − | 5.89616i | −1.12033 | − | 0.339849i | ||||
\(302\) | 16.1304 | − | 13.5836i | 0.928198 | − | 0.781650i | ||||
\(303\) | 16.2794 | − | 6.74313i | 0.935224 | − | 0.387383i | ||||
\(304\) | −29.1228 | + | 4.36803i | −1.67031 | + | 0.250524i | ||||
\(305\) | −0.444703 | − | 0.184202i | −0.0254636 | − | 0.0105474i | ||||
\(306\) | 7.67392 | − | 2.43450i | 0.438689 | − | 0.139171i | ||||
\(307\) | 14.7321 | − | 7.87447i | 0.840805 | − | 0.449420i | 0.00601105 | − | 0.999982i | \(-0.498087\pi\) |
0.834794 | + | 0.550562i | \(0.185587\pi\) | |||||||
\(308\) | 2.25913 | + | 0.164810i | 0.128726 | + | 0.00939092i | ||||
\(309\) | 5.74280 | − | 4.71299i | 0.326696 | − | 0.268113i | ||||
\(310\) | −0.377015 | + | 0.00477911i | −0.0214130 | + | 0.000271435i | ||||
\(311\) | 0.480535 | + | 2.41581i | 0.0272486 | + | 0.136988i | 0.992015 | − | 0.126120i | \(-0.0402524\pi\) |
−0.964766 | + | 0.263108i | \(0.915252\pi\) | |||||||
\(312\) | 4.25645 | − | 16.2290i | 0.240974 | − | 0.918784i | ||||
\(313\) | 21.8174 | + | 4.33975i | 1.23319 | + | 0.245297i | 0.768312 | − | 0.640076i | \(-0.221097\pi\) |
0.464881 | + | 0.885373i | \(0.346097\pi\) | |||||||
\(314\) | −7.66454 | + | 5.26302i | −0.432535 | + | 0.297009i | ||||
\(315\) | −0.0713385 | + | 0.133465i | −0.00401947 | + | 0.00751990i | ||||
\(316\) | −11.2349 | − | 15.9251i | −0.632015 | − | 0.895856i | ||||
\(317\) | 22.8651 | − | 2.25201i | 1.28423 | − | 0.126486i | 0.567230 | − | 0.823559i | \(-0.308015\pi\) |
0.716999 | + | 0.697074i | \(0.245515\pi\) | |||||||
\(318\) | −4.38408 | + | 2.41528i | −0.245847 | + | 0.135442i | ||||
\(319\) | − | 6.52213i | − | 0.365169i | ||||||
\(320\) | 0.394801 | − | 0.563468i | 0.0220701 | − | 0.0314988i | ||||
\(321\) | 10.4016i | 0.580561i | ||||||||
\(322\) | −6.55814 | − | 11.9040i | −0.365471 | − | 0.663382i | ||||
\(323\) | 41.7094 | − | 4.10801i | 2.32077 | − | 0.228576i | ||||
\(324\) | −1.97083 | − | 0.340333i | −0.109491 | − | 0.0189074i | ||||
\(325\) | −13.9606 | + | 26.1185i | −0.774397 | + | 1.44879i | ||||
\(326\) | 9.90290 | + | 14.4216i | 0.548471 | + | 0.798739i | ||||
\(327\) | 1.40201 | + | 0.278877i | 0.0775314 | + | 0.0154219i | ||||
\(328\) | 4.07828 | + | 29.7576i | 0.225185 | + | 1.64309i | ||||
\(329\) | 0.774764 | + | 3.89500i | 0.0427141 | + | 0.214738i | ||||
\(330\) | 0.000992228 | 0.0782749i | 5.46204e−5 | 0.00430889i | ||||||
\(331\) | 15.2868 | − | 12.5455i | 0.840236 | − | 0.689564i | −0.112405 | − | 0.993663i | \(-0.535855\pi\) |
0.952641 | + | 0.304099i | \(0.0983552\pi\) | |||||||
\(332\) | −11.1677 | − | 12.9253i | −0.612905 | − | 0.709368i | ||||
\(333\) | −0.0507447 | + | 0.0271236i | −0.00278079 | + | 0.00148637i | ||||
\(334\) | −4.54641 | − | 14.3310i | −0.248768 | − | 0.784157i | ||||
\(335\) | 0.0268100 | + | 0.0111051i | 0.00146479 | + | 0.000606735i | ||||
\(336\) | −2.38195 | − | 6.62336i | −0.129946 | − | 0.361334i | ||||
\(337\) | 2.08553 | − | 0.863856i | 0.113606 | − | 0.0470572i | −0.325156 | − | 0.945660i | \(-0.605417\pi\) |
0.438763 | + | 0.898603i | \(0.355417\pi\) | |||||||
\(338\) | 20.2113 | + | 24.0007i | 1.09935 | + | 1.30546i | ||||
\(339\) | 8.66341 | + | 2.62802i | 0.470532 | + | 0.142734i | ||||
\(340\) | −0.601800 | + | 0.772421i | −0.0326372 | + | 0.0418904i | ||||
\(341\) | −0.195572 | + | 1.98568i | −0.0105908 | + | 0.107531i | ||||
\(342\) | −9.66883 | − | 3.86212i | −0.522831 | − | 0.208840i | ||||
\(343\) | 10.6595 | − | 15.9531i | 0.575560 | − | 0.861387i | ||||
\(344\) | 19.1573 | + | 26.4369i | 1.03289 | + | 1.42538i | ||||
\(345\) | 0.390534 | − | 0.260947i | 0.0210257 | − | 0.0140489i | ||||
\(346\) | −3.62672 | + | 5.57960i | −0.194974 | + | 0.299961i | ||||
\(347\) | 5.98699 | − | 1.81613i | 0.321398 | − | 0.0974951i | −0.125463 | − | 0.992098i | \(-0.540042\pi\) |
0.446861 | + | 0.894603i | \(0.352542\pi\) | |||||||
\(348\) | −18.5214 | + | 8.22789i | −0.992854 | + | 0.441061i | ||||
\(349\) | −8.37695 | + | 10.2073i | −0.448408 | + | 0.546387i | −0.947330 | − | 0.320260i | \(-0.896230\pi\) |
0.498922 | + | 0.866647i | \(0.333730\pi\) | |||||||
\(350\) | 1.37442 | + | 12.3480i | 0.0734657 | + | 0.660030i | ||||
\(351\) | 4.19446 | − | 4.19446i | 0.223884 | − | 0.223884i | ||||
\(352\) | −2.73240 | − | 2.40629i | −0.145637 | − | 0.128255i | ||||
\(353\) | −5.45551 | − | 5.45551i | −0.290367 | − | 0.290367i | 0.546858 | − | 0.837225i | \(-0.315824\pi\) |
−0.837225 | + | 0.546858i | \(0.815824\pi\) | |||||||
\(354\) | 0.611993 | − | 0.765294i | 0.0325270 | − | 0.0406749i | ||||
\(355\) | 0.0971641 | + | 0.0797405i | 0.00515693 | + | 0.00423219i | ||||
\(356\) | −25.7402 | + | 0.652681i | −1.36423 | + | 0.0345920i | ||||
\(357\) | 2.90790 | + | 9.58605i | 0.153902 | + | 0.507348i | ||||
\(358\) | 4.73883 | + | 22.3400i | 0.250455 | + | 1.18070i | ||||
\(359\) | −8.78377 | − | 13.1458i | −0.463590 | − | 0.693811i | 0.523849 | − | 0.851811i | \(-0.324495\pi\) |
−0.987439 | + | 0.158000i | \(0.949495\pi\) | |||||||
\(360\) | 0.221032 | − | 0.101564i | 0.0116494 | − | 0.00535291i | ||||
\(361\) | −29.2687 | − | 19.5567i | −1.54046 | − | 1.02930i | ||||
\(362\) | 8.34516 | + | 19.4461i | 0.438612 | + | 1.02206i | ||||
\(363\) | −10.5348 | − | 1.03758i | −0.552932 | − | 0.0544591i | ||||
\(364\) | 20.1245 | + | 5.55170i | 1.05481 | + | 0.290988i | ||||
\(365\) | 0.250375 | − | 0.825375i | 0.0131052 | − | 0.0432021i | ||||
\(366\) | 7.88628 | + | 0.675919i | 0.412223 | + | 0.0353309i | ||||
\(367\) | 12.2907 | + | 29.6723i | 0.641568 | + | 1.54888i | 0.824564 | + | 0.565768i | \(0.191420\pi\) |
−0.182996 | + | 0.983114i | \(0.558580\pi\) | |||||||
\(368\) | −3.17053 | + | 21.6144i | −0.165275 | + | 1.12673i | ||||
\(369\) | −4.06382 | + | 9.81092i | −0.211554 | + | 0.510736i | ||||
\(370\) | 0.00322042 | − | 0.00621315i | 0.000167422 | − | 0.000323006i | ||||
\(371\) | −2.93587 | − | 5.49263i | −0.152423 | − | 0.285163i | ||||
\(372\) | 5.88562 | − | 1.94962i | 0.305155 | − | 0.101083i | ||||
\(373\) | 21.1153 | + | 25.7291i | 1.09331 | + | 1.33220i | 0.938898 | + | 0.344196i | \(0.111848\pi\) |
0.154412 | + | 0.988006i | \(0.450652\pi\) | |||||||
\(374\) | 3.71019 | + | 3.61730i | 0.191849 | + | 0.187046i | ||||
\(375\) | −0.842870 | + | 0.167657i | −0.0435256 | + | 0.00865778i | ||||
\(376\) | 2.79289 | − | 5.73995i | 0.144033 | − | 0.296015i | ||||
\(377\) | 11.7269 | − | 58.9549i | 0.603964 | − | 3.03633i | ||||
\(378\) | 0.454514 | − | 2.44668i | 0.0233777 | − | 0.125844i | ||||
\(379\) | 6.89372 | + | 3.68477i | 0.354107 | + | 0.189274i | 0.638853 | − | 0.769329i | \(-0.279409\pi\) |
−0.284746 | + | 0.958603i | \(0.591909\pi\) | |||||||
\(380\) | 1.23532 | − | 0.278449i | 0.0633707 | − | 0.0142841i | ||||
\(381\) | −0.483585 | − | 4.90992i | −0.0247748 | − | 0.251543i | ||||
\(382\) | −20.0794 | − | 5.81413i | −1.02735 | − | 0.297477i | ||||
\(383\) | −38.3004 | −1.95706 | −0.978529 | − | 0.206110i | \(-0.933920\pi\) | ||||
−0.978529 | + | 0.206110i | \(0.933920\pi\) | |||||||
\(384\) | −3.38632 | + | 10.7950i | −0.172807 | + | 0.550882i | ||||
\(385\) | −0.0974030 | −0.00496411 | ||||||||
\(386\) | 10.8330 | + | 3.13678i | 0.551387 | + | 0.159658i | ||||
\(387\) | 1.13140 | + | 11.4873i | 0.0575125 | + | 0.583934i | ||||
\(388\) | 6.14425 | + | 27.2586i | 0.311927 | + | 1.38385i | ||||
\(389\) | 17.3457 | + | 9.27146i | 0.879461 | + | 0.470081i | 0.848351 | − | 0.529435i | \(-0.177596\pi\) |
0.0311097 | + | 0.999516i | \(0.490096\pi\) | |||||||
\(390\) | −0.131770 | + | 0.709328i | −0.00667245 | + | 0.0359182i | ||||
\(391\) | 6.06550 | − | 30.4933i | 0.306745 | − | 1.54211i | ||||
\(392\) | −10.4361 | + | 3.60439i | −0.527103 | + | 0.182049i | ||||
\(393\) | 9.89326 | − | 1.96789i | 0.499049 | − | 0.0992670i | ||||
\(394\) | 13.3025 | + | 12.9694i | 0.670168 | + | 0.653390i | ||||
\(395\) | 0.531658 | + | 0.647827i | 0.0267506 | + | 0.0325957i | ||||
\(396\) | −0.404775 | − | 1.22196i | −0.0203407 | − | 0.0614058i | ||||
\(397\) | −12.7827 | − | 23.9148i | −0.641547 | − | 1.20025i | −0.967021 | − | 0.254698i | \(-0.918024\pi\) |
0.325474 | − | 0.945551i | \(-0.394476\pi\) | |||||||
\(398\) | 4.06956 | − | 7.85139i | 0.203988 | − | 0.393555i | ||||
\(399\) | 4.95762 | − | 11.9688i | 0.248192 | − | 0.599187i | ||||
\(400\) | 10.2392 | − | 17.1458i | 0.511959 | − | 0.857288i | ||||
\(401\) | −1.11978 | − | 2.70339i | −0.0559191 | − | 0.135001i | 0.893451 | − | 0.449161i | \(-0.148277\pi\) |
−0.949370 | + | 0.314160i | \(0.898277\pi\) | |||||||
\(402\) | −0.475444 | − | 0.0407495i | −0.0237130 | − | 0.00203240i | ||||
\(403\) | −5.33809 | + | 17.5973i | −0.265909 | + | 0.876586i | ||||
\(404\) | 9.37188 | − | 33.9723i | 0.466268 | − | 1.69018i | ||||
\(405\) | 0.0855877 | + | 0.00842966i | 0.00425289 | + | 0.000418873i | ||||
\(406\) | −9.94478 | − | 23.1736i | −0.493551 | − | 1.15009i | ||||
\(407\) | −0.0307923 | − | 0.0205748i | −0.00152632 | − | 0.00101985i | ||||
\(408\) | 5.59184 | − | 15.0995i | 0.276837 | − | 0.747536i | ||||
\(409\) | 6.14341 | + | 9.19426i | 0.303772 | + | 0.454627i | 0.951680 | − | 0.307092i | \(-0.0993558\pi\) |
−0.647908 | + | 0.761719i | \(0.724356\pi\) | |||||||
\(410\) | −0.268008 | − | 1.26346i | −0.0132360 | − | 0.0623976i | ||||
\(411\) | −1.55286 | − | 5.11908i | −0.0765968 | − | 0.252506i | ||||
\(412\) | −0.376632 | − | 14.8535i | −0.0185553 | − | 0.731779i | ||||
\(413\) | 0.942503 | + | 0.773492i | 0.0463775 | + | 0.0380611i | ||||
\(414\) | −4.82373 | + | 6.03205i | −0.237074 | + | 0.296459i | ||||
\(415\) | 0.519386 | + | 0.519386i | 0.0254957 | + | 0.0254957i | ||||
\(416\) | −20.3722 | − | 26.6638i | −0.998830 | − | 1.30730i | ||||
\(417\) | 8.22489 | − | 8.22489i | 0.402775 | − | 0.402775i | ||||
\(418\) | −0.741312 | − | 6.66009i | −0.0362588 | − | 0.325756i | ||||
\(419\) | 12.1553 | − | 14.8113i | 0.593827 | − | 0.723580i | −0.386207 | − | 0.922412i | \(-0.626215\pi\) |
0.980034 | + | 0.198832i | \(0.0637149\pi\) | |||||||
\(420\) | 0.122877 | + | 0.276603i | 0.00599579 | + | 0.0134969i | ||||
\(421\) | 29.7227 | − | 9.01627i | 1.44859 | − | 0.439426i | 0.534583 | − | 0.845116i | \(-0.320469\pi\) |
0.914011 | + | 0.405689i | \(0.132969\pi\) | |||||||
\(422\) | −14.5094 | + | 22.3222i | −0.706306 | + | 1.08663i | ||||
\(423\) | 1.87651 | − | 1.25384i | 0.0912389 | − | 0.0609639i | ||||
\(424\) | −1.57832 | + | 9.88553i | −0.0766498 | + | 0.480084i | ||||
\(425\) | −15.7903 | + | 23.6319i | −0.765944 | + | 1.14632i | ||||
\(426\) | −1.91947 | − | 0.766715i | −0.0929988 | − | 0.0371475i | ||||
\(427\) | −0.965335 | + | 9.80121i | −0.0467158 | + | 0.474314i | ||||
\(428\) | 16.4105 | + | 12.7855i | 0.793229 | + | 0.618012i | ||||
\(429\) | 3.65352 | + | 1.10828i | 0.176393 | + | 0.0535084i | ||||
\(430\) | −0.904313 | − | 1.07386i | −0.0436099 | − | 0.0517861i | ||||
\(431\) | −25.7871 | + | 10.6814i | −1.24212 | + | 0.514503i | −0.904377 | − | 0.426735i | \(-0.859664\pi\) |
−0.337743 | + | 0.941238i | \(0.609664\pi\) | |||||||
\(432\) | −2.95946 | + | 2.69102i | −0.142387 | + | 0.129472i | ||||
\(433\) | 24.3606 | + | 10.0905i | 1.17070 | + | 0.484919i | 0.881423 | − | 0.472328i | \(-0.156586\pi\) |
0.289274 | + | 0.957246i | \(0.406586\pi\) | |||||||
\(434\) | 2.33283 | + | 7.35346i | 0.111980 | + | 0.352977i | ||||
\(435\) | 0.768586 | − | 0.410818i | 0.0368509 | − | 0.0196972i | ||||
\(436\) | 2.16332 | − | 1.86914i | 0.103604 | − | 0.0895155i | ||||
\(437\) | −31.0810 | + | 25.5075i | −1.48681 | + | 1.22019i | ||||
\(438\) | 0.179774 | + | 14.1820i | 0.00858994 | + | 0.677644i | ||||
\(439\) | −3.65802 | − | 18.3901i | −0.174588 | − | 0.877711i | −0.964417 | − | 0.264385i | \(-0.914831\pi\) |
0.789830 | − | 0.613326i | \(-0.210169\pi\) | |||||||
\(440\) | 0.124713 | + | 0.0946493i | 0.00594545 | + | 0.00451223i | ||||
\(441\) | −3.82858 | − | 0.761552i | −0.182313 | − | 0.0362644i | ||||
\(442\) | 27.0332 | + | 39.3685i | 1.28584 | + | 1.87257i | ||||
\(443\) | −4.06900 | + | 7.61256i | −0.193324 | + | 0.361684i | −0.959843 | − | 0.280538i | \(-0.909487\pi\) |
0.766519 | + | 0.642222i | \(0.221987\pi\) | |||||||
\(444\) | −0.0195824 | + | 0.113399i | −0.000929338 | + | 0.00538169i | ||||
\(445\) | 1.10188 | − | 0.108525i | 0.0522340 | − | 0.00514460i | ||||
\(446\) | 14.5810 | + | 26.4666i | 0.690429 | + | 1.25323i | ||||
\(447\) | − | 9.30913i | − | 0.440307i | ||||||
\(448\) | −13.3775 | − | 4.38341i | −0.632025 | − | 0.207096i | ||||
\(449\) | 20.1600i | 0.951407i | 0.879606 | + | 0.475704i | \(0.157807\pi\) | ||||
−0.879606 | + | 0.475704i | \(0.842193\pi\) | |||||||
\(450\) | 6.18421 | − | 3.40701i | 0.291527 | − | 0.160608i | ||||
\(451\) | −6.80194 | + | 0.669933i | −0.320291 | + | 0.0315459i | ||||
\(452\) | 14.7952 | − | 10.4378i | 0.695906 | − | 0.490953i | ||||
\(453\) | 7.02921 | − | 13.1507i | 0.330261 | − | 0.617875i | ||||
\(454\) | −0.0202571 | + | 0.0139099i | −0.000950711 | + | 0.000652825i | ||||
\(455\) | −0.880446 | − | 0.175132i | −0.0412760 | − | 0.00821030i | ||||
\(456\) | −17.9780 | + | 10.5071i | −0.841899 | + | 0.492040i | ||||
\(457\) | 3.35927 | + | 16.8882i | 0.157140 | + | 0.789997i | 0.976298 | + | 0.216429i | \(0.0694410\pi\) |
−0.819158 | + | 0.573568i | \(0.805559\pi\) | |||||||
\(458\) | −29.0046 | + | 0.367667i | −1.35529 | + | 0.0171800i | ||||
\(459\) | 4.40059 | − | 3.61147i | 0.205402 | − | 0.168569i | ||||
\(460\) | 0.0683490 | − | 0.936894i | 0.00318679 | − | 0.0436829i | ||||
\(461\) | −1.89302 | + | 1.01184i | −0.0881665 | + | 0.0471260i | −0.514891 | − | 0.857256i | \(-0.672168\pi\) |
0.426724 | + | 0.904382i | \(0.359668\pi\) | |||||||
\(462\) | 1.52671 | − | 0.484337i | 0.0710289 | − | 0.0225334i | ||||
\(463\) | 11.3321 | + | 4.69392i | 0.526648 | + | 0.218145i | 0.630135 | − | 0.776486i | \(-0.283000\pi\) |
−0.103486 | + | 0.994631i | \(0.533000\pi\) | |||||||
\(464\) | −9.78535 | + | 39.3347i | −0.454273 | + | 1.82607i | ||||
\(465\) | −0.246317 | + | 0.102028i | −0.0114227 | + | 0.00473142i | ||||
\(466\) | −0.588360 | + | 0.495467i | −0.0272553 | + | 0.0229521i | ||||
\(467\) | 4.85230 | + | 1.47193i | 0.224538 | + | 0.0681127i | 0.400549 | − | 0.916275i | \(-0.368819\pi\) |
−0.176011 | + | 0.984388i | \(0.556319\pi\) | |||||||
\(468\) | −1.46175 | − | 11.7733i | −0.0675696 | − | 0.544223i | ||||
\(469\) | 0.0581977 | − | 0.590891i | 0.00268732 | − | 0.0272848i | ||||
\(470\) | −0.101820 | + | 0.254907i | −0.00469661 | + | 0.0117580i | ||||
\(471\) | −3.65252 | + | 5.46638i | −0.168299 | + | 0.251878i | ||||
\(472\) | −0.455138 | − | 1.90622i | −0.0209494 | − | 0.0877410i | ||||
\(473\) | −6.17727 | + | 4.12752i | −0.284031 | + | 0.189784i | ||||
\(474\) | −11.5546 | − | 7.51046i | −0.530721 | − | 0.344967i | ||||
\(475\) | 35.1736 | − | 10.6698i | 1.61387 | − | 0.489563i | ||||
\(476\) | 18.6981 | + | 7.19533i | 0.857028 | + | 0.329797i | ||||
\(477\) | −2.24533 | + | 2.73594i | −0.102806 | + | 0.125270i | ||||
\(478\) | 21.1120 | − | 2.34991i | 0.965643 | − | 0.107482i | ||||
\(479\) | 13.3156 | − | 13.3156i | 0.608403 | − | 0.608403i | −0.334126 | − | 0.942529i | \(-0.608441\pi\) |
0.942529 | + | 0.334126i | \(0.108441\pi\) | |||||||
\(480\) | 0.111454 | − | 0.473561i | 0.00508716 | − | 0.0216150i | ||||
\(481\) | −0.241345 | − | 0.241345i | −0.0110044 | − | 0.0110044i | ||||
\(482\) | 4.96558 | + | 3.97089i | 0.226176 | + | 0.180869i | ||||
\(483\) | −7.42882 | − | 6.09668i | −0.338023 | − | 0.277408i | ||||
\(484\) | −14.5862 | + | 15.3452i | −0.663010 | + | 0.697508i | ||||
\(485\) | −0.348793 | − | 1.14982i | −0.0158379 | − | 0.0522104i | ||||
\(486\) | −1.38343 | + | 0.293458i | −0.0627537 | + | 0.0133115i | ||||
\(487\) | 0.752490 | + | 1.12618i | 0.0340986 | + | 0.0510322i | 0.848127 | − | 0.529792i | \(-0.177730\pi\) |
−0.814029 | + | 0.580825i | \(0.802730\pi\) | |||||||
\(488\) | 10.7601 | − | 11.6112i | 0.487088 | − | 0.525616i | ||||
\(489\) | 10.2856 | + | 6.87259i | 0.465129 | + | 0.310789i | ||||
\(490\) | 0.436295 | − | 0.187233i | 0.0197098 | − | 0.00845833i | ||||
\(491\) | 22.0450 | + | 2.17124i | 0.994875 | + | 0.0979867i | 0.582332 | − | 0.812951i | \(-0.302140\pi\) |
0.412543 | + | 0.910938i | \(0.364640\pi\) | |||||||
\(492\) | 10.4833 | + | 18.4709i | 0.472626 | + | 0.832733i | ||||
\(493\) | 16.7457 | − | 55.2033i | 0.754190 | − | 2.48623i | ||||
\(494\) | 5.27405 | − | 61.5349i | 0.237291 | − | 2.76859i | ||||
\(495\) | 0.0211827 | + | 0.0511397i | 0.000952094 | + | 0.00229856i | ||||
\(496\) | 4.15866 | − | 11.6821i | 0.186729 | − | 0.524542i | ||||
\(497\) | 0.984196 | − | 2.37606i | 0.0441472 | − | 0.106581i | ||||
\(498\) | −10.7236 | − | 5.55829i | −0.480536 | − | 0.249073i | ||||
\(499\) | −20.4881 | − | 38.3306i | −0.917175 | − | 1.71591i | −0.662781 | − | 0.748813i | \(-0.730624\pi\) |
−0.254394 | − | 0.967101i | \(-0.581876\pi\) | |||||||
\(500\) | −0.771537 | + | 1.53587i | −0.0345042 | + | 0.0686860i | ||||
\(501\) | −6.74440 | − | 8.21807i | −0.301317 | − | 0.367156i | ||||
\(502\) | −11.1166 | + | 11.4020i | −0.496157 | + | 0.508897i | ||||
\(503\) | −12.5652 | + | 2.49938i | −0.560256 | + | 0.111442i | −0.467092 | − | 0.884209i | \(-0.654698\pi\) |
−0.0931645 | + | 0.995651i | \(0.529698\pi\) | |||||||
\(504\) | −3.30141 | − | 3.72452i | −0.147056 | − | 0.165903i | ||||
\(505\) | −0.295642 | + | 1.48629i | −0.0131559 | + | 0.0661390i | ||||
\(506\) | −4.88751 | − | 0.907942i | −0.217276 | − | 0.0403629i | ||||
\(507\) | 19.5672 | + | 10.4589i | 0.869012 | + | 0.464496i | ||||
\(508\) | −8.34073 | − | 5.27228i | −0.370060 | − | 0.233920i | ||||
\(509\) | 0.572428 | + | 5.81196i | 0.0253724 | + | 0.257611i | 0.999500 | + | 0.0316126i | \(0.0100643\pi\) |
−0.974128 | + | 0.225998i | \(0.927436\pi\) | |||||||
\(510\) | −0.192575 | + | 0.665067i | −0.00852735 | + | 0.0294496i | ||||
\(511\) | −17.6477 | −0.780688 | ||||||||
\(512\) | 12.8688 | + | 18.6117i | 0.568724 | + | 0.822529i | ||||
\(513\) | −7.36214 | −0.325047 | ||||||||
\(514\) | −8.78494 | + | 30.3392i | −0.387487 | + | 1.33821i | ||||
\(515\) | 0.0626250 | + | 0.635843i | 0.00275959 | + | 0.0280186i | ||||
\(516\) | 19.5141 | + | 12.3351i | 0.859061 | + | 0.543023i | ||||
\(517\) | 1.28106 | + | 0.684740i | 0.0563409 | + | 0.0301148i | ||||
\(518\) | −0.140779 | − | 0.0261522i | −0.00618548 | − | 0.00114906i | ||||
\(519\) | −0.918014 | + | 4.61517i | −0.0402964 | + | 0.202583i | ||||
\(520\) | 0.957126 | + | 1.07979i | 0.0419727 | + | 0.0473520i | ||||
\(521\) | −10.8440 | + | 2.15701i | −0.475084 | + | 0.0945002i | −0.426824 | − | 0.904335i | \(-0.640368\pi\) |
−0.0482603 | + | 0.998835i | \(0.515368\pi\) | |||||||
\(522\) | −10.0041 | + | 10.2610i | −0.437869 | + | 0.449112i | ||||
\(523\) | −10.9479 | − | 13.3401i | −0.478720 | − | 0.583322i | 0.476516 | − | 0.879166i | \(-0.341899\pi\) |
−0.955236 | + | 0.295843i | \(0.904399\pi\) | |||||||
\(524\) | 9.05598 | − | 18.0274i | 0.395612 | − | 0.787529i | ||||
\(525\) | 4.14136 | + | 7.74794i | 0.180744 | + | 0.338148i | ||||
\(526\) | 5.34186 | + | 2.76881i | 0.232916 | + | 0.120726i | ||||
\(527\) | −6.75361 | + | 16.3046i | −0.294192 | + | 0.710242i | ||||
\(528\) | −2.42541 | − | 0.863412i | −0.105553 | − | 0.0375752i | ||||
\(529\) | 2.61260 | + | 6.30736i | 0.113591 | + | 0.274233i | ||||
\(530\) | 0.0367601 | − | 0.428898i | 0.00159676 | − | 0.0186302i | ||||
\(531\) | 0.201137 | − | 0.663060i | 0.00872860 | − | 0.0287743i | ||||
\(532\) | −12.7891 | − | 22.5335i | −0.554477 | − | 0.976949i | ||||
\(533\) | −62.6887 | − | 6.17430i | −2.71535 | − | 0.267439i | ||||
\(534\) | −16.7313 | + | 7.18014i | −0.724036 | + | 0.310715i | ||||
\(535\) | −0.743797 | − | 0.496989i | −0.0321571 | − | 0.0214867i | ||||
\(536\) | −0.648701 | + | 0.700013i | −0.0280196 | + | 0.0302359i | ||||
\(537\) | 8.97147 | + | 13.4268i | 0.387148 | + | 0.579407i | ||||
\(538\) | −15.1873 | + | 3.22159i | −0.654773 | + | 0.138893i | ||||
\(539\) | −0.729328 | − | 2.40427i | −0.0314144 | − | 0.103559i | ||||
\(540\) | 0.118503 | − | 0.124669i | 0.00509955 | − | 0.00536490i | ||||
\(541\) | −11.5864 | − | 9.50874i | −0.498140 | − | 0.408813i | 0.351491 | − | 0.936191i | \(-0.385675\pi\) |
−0.849630 | + | 0.527379i | \(0.823175\pi\) | |||||||
\(542\) | −17.8077 | − | 14.2405i | −0.764906 | − | 0.611682i | ||||
\(543\) | 10.5806 | + | 10.5806i | 0.454055 | + | 0.454055i | ||||
\(544\) | −16.9488 | − | 27.3823i | −0.726675 | − | 1.17401i | ||||
\(545\) | −0.0869301 | + | 0.0869301i | −0.00372368 | + | 0.00372368i | ||||
\(546\) | 14.6711 | − | 1.63299i | 0.627865 | − | 0.0698854i | ||||
\(547\) | 9.82766 | − | 11.9750i | 0.420200 | − | 0.512015i | −0.519287 | − | 0.854600i | \(-0.673802\pi\) |
0.939487 | + | 0.342585i | \(0.111302\pi\) | |||||||
\(548\) | −9.98506 | − | 3.84241i | −0.426541 | − | 0.164139i | ||||
\(549\) | 5.35589 | − | 1.62469i | 0.228584 | − | 0.0693401i | ||||
\(550\) | 3.81023 | + | 2.47664i | 0.162469 | + | 0.105604i | ||||
\(551\) | −62.0305 | + | 41.4475i | −2.64259 | + | 1.76572i | ||||
\(552\) | 3.58740 | + | 15.0249i | 0.152690 | + | 0.639501i | ||||
\(553\) | 9.52652 | − | 14.2574i | 0.405109 | − | 0.606288i | ||||
\(554\) | −1.77022 | + | 4.43176i | −0.0752096 | + | 0.188288i | ||||
\(555\) | 0.000485033 | − | 0.00492462i | 2.05885e−5 | − | 0.000209038i | ||||
\(556\) | −2.86634 | − | 23.0862i | −0.121560 | − | 0.979075i | ||||
\(557\) | −14.5611 | − | 4.41705i | −0.616972 | − | 0.187156i | −0.0336983 | − | 0.999432i | \(-0.510729\pi\) |
−0.583274 | + | 0.812276i | \(0.698229\pi\) | |||||||
\(558\) | 3.35347 | − | 2.82401i | 0.141964 | − | 0.119550i | ||||
\(559\) | −63.2590 | + | 26.2027i | −2.67557 | + | 1.10826i | ||||
\(560\) | 0.587433 | + | 0.146137i | 0.0248236 | + | 0.00617540i | ||||
\(561\) | 3.38513 | + | 1.40217i | 0.142920 | + | 0.0591996i | ||||
\(562\) | −4.42051 | + | 1.40238i | −0.186468 | + | 0.0591556i | ||||
\(563\) | −18.8511 | + | 10.0761i | −0.794479 | + | 0.424658i | −0.818109 | − | 0.575063i | \(-0.804978\pi\) |
0.0236299 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(564\) | 0.328415 | − | 4.50175i | 0.0138288 | − | 0.189558i | ||||
\(565\) | −0.601862 | + | 0.493936i | −0.0253205 | + | 0.0207800i | ||||
\(566\) | 10.0651 | − | 0.127588i | 0.423069 | − | 0.00536291i | ||||
\(567\) | −0.343293 | − | 1.72585i | −0.0144170 | − | 0.0724790i | ||||
\(568\) | −3.56903 | + | 2.08589i | −0.149753 | + | 0.0875219i | ||||
\(569\) | 19.0560 | + | 3.79047i | 0.798868 | + | 0.158905i | 0.577612 | − | 0.816311i | \(-0.303984\pi\) |
0.221256 | + | 0.975216i | \(0.428984\pi\) | |||||||
\(570\) | 0.738150 | − | 0.506866i | 0.0309177 | − | 0.0212303i | ||||
\(571\) | 6.66366 | − | 12.4668i | 0.278866 | − | 0.521721i | −0.703026 | − | 0.711164i | \(-0.748168\pi\) |
0.981892 | + | 0.189443i | \(0.0606683\pi\) | |||||||
\(572\) | 6.23939 | − | 4.40181i | 0.260882 | − | 0.184049i | ||||
\(573\) | −14.7103 | + | 1.44884i | −0.614533 | + | 0.0605262i | ||||
\(574\) | −23.1463 | + | 12.7518i | −0.966107 | + | 0.532248i | ||||
\(575\) | − | 27.2667i | − | 1.13710i | ||||||
\(576\) | 0.607838 | + | 7.97687i | 0.0253266 | + | 0.332370i | ||||
\(577\) | − | 8.61588i | − | 0.358684i | −0.983787 | − | 0.179342i | \(-0.942603\pi\) | ||
0.983787 | − | 0.179342i | \(-0.0573968\pi\) | |||||||
\(578\) | 10.5145 | + | 19.0854i | 0.437346 | + | 0.793847i | ||||
\(579\) | 7.93638 | − | 0.781665i | 0.329825 | − | 0.0324849i | ||||
\(580\) | 0.296597 | − | 1.71756i | 0.0123155 | − | 0.0713178i | ||||
\(581\) | 7.08458 | − | 13.2543i | 0.293918 | − | 0.549881i | ||||
\(582\) | 11.1845 | + | 16.2880i | 0.463612 | + | 0.675159i | ||||
\(583\) | −2.23424 | − | 0.444418i | −0.0925327 | − | 0.0184059i | ||||
\(584\) | 22.5958 | + | 17.1488i | 0.935020 | + | 0.709622i | ||||
\(585\) | 0.0995257 | + | 0.500349i | 0.00411488 | + | 0.0206869i | ||||
\(586\) | −0.487773 | − | 38.4795i | −0.0201497 | − | 1.58957i | ||||
\(587\) | 2.11026 | − | 1.73185i | 0.0870998 | − | 0.0714809i | −0.589836 | − | 0.807523i | \(-0.700808\pi\) |
0.676936 | + | 0.736042i | \(0.263308\pi\) | |||||||
\(588\) | −5.90754 | + | 5.10420i | −0.243623 | + | 0.210494i | ||||
\(589\) | 20.1282 | − | 10.7587i | 0.829368 | − | 0.443306i | ||||
\(590\) | 0.0254835 | + | 0.0803281i | 0.00104914 | + | 0.00330706i | ||||
\(591\) | 12.1370 | + | 5.02731i | 0.499250 | + | 0.206796i | ||||
\(592\) | 0.154838 | + | 0.170284i | 0.00636381 | + | 0.00699863i | ||||
\(593\) | −21.5439 | + | 8.92376i | −0.884700 | + | 0.366455i | −0.778318 | − | 0.627870i | \(-0.783927\pi\) |
−0.106382 | + | 0.994325i | \(0.533927\pi\) | |||||||
\(594\) | −0.586314 | − | 0.696239i | −0.0240568 | − | 0.0285670i | ||||
\(595\) | −0.824418 | − | 0.250085i | −0.0337979 | − | 0.0102525i | ||||
\(596\) | −14.6869 | − | 11.4427i | −0.601598 | − | 0.468711i | ||||
\(597\) | 0.612923 | − | 6.22311i | 0.0250853 | − | 0.254695i | ||||
\(598\) | −42.5468 | − | 16.9949i | −1.73987 | − | 0.694972i | ||||
\(599\) | 7.94569 | − | 11.8916i | 0.324652 | − | 0.485876i | −0.632861 | − | 0.774265i | \(-0.718120\pi\) |
0.957513 | + | 0.288389i | \(0.0931197\pi\) | |||||||
\(600\) | 2.22638 | − | 13.9446i | 0.0908918 | − | 0.569286i | ||||
\(601\) | −8.33099 | + | 5.56659i | −0.339828 | + | 0.227066i | −0.713760 | − | 0.700390i | \(-0.753009\pi\) |
0.373932 | + | 0.927456i | \(0.378009\pi\) | |||||||
\(602\) | −15.6547 | + | 24.0843i | −0.638040 | + | 0.981604i | ||||
\(603\) | −0.322893 | + | 0.0979486i | −0.0131492 | + | 0.00398877i | ||||
\(604\) | −12.1075 | − | 27.2546i | −0.492647 | − | 1.10898i | ||||
\(605\) | 0.577548 | − | 0.703744i | 0.0234807 | − | 0.0286113i | ||||
\(606\) | −2.75666 | − | 24.7664i | −0.111982 | − | 1.00607i | ||||
\(607\) | 4.60901 | − | 4.60901i | 0.187074 | − | 0.187074i | −0.607356 | − | 0.794430i | \(-0.707770\pi\) |
0.794430 | + | 0.607356i | \(0.207770\pi\) | |||||||
\(608\) | −5.52152 | + | 41.2789i | −0.223927 | + | 1.67408i | ||||
\(609\) | −12.6087 | − | 12.6087i | −0.510929 | − | 0.510929i | ||||
\(610\) | −0.425141 | + | 0.531636i | −0.0172134 | + | 0.0215253i | ||||
\(611\) | 10.3486 | + | 8.49286i | 0.418659 | + | 0.343584i | ||||
\(612\) | −0.288605 | − | 11.3819i | −0.0116662 | − | 0.460087i | ||||
\(613\) | 3.38209 | + | 11.1493i | 0.136601 | + | 0.450314i | 0.998375 | − | 0.0569781i | \(-0.0181465\pi\) |
−0.861774 | + | 0.507292i | \(0.830647\pi\) | |||||||
\(614\) | −4.90209 | − | 23.1096i | −0.197832 | − | 0.932627i | ||||
\(615\) | −0.507389 | − | 0.759362i | −0.0204599 | − | 0.0306204i | ||||
\(616\) | 1.11248 | − | 3.00401i | 0.0448232 | − | 0.121035i | ||||
\(617\) | 1.12637 | + | 0.752615i | 0.0453459 | + | 0.0302991i | 0.578037 | − | 0.816011i | \(-0.303819\pi\) |
−0.532691 | + | 0.846310i | \(0.678819\pi\) | |||||||
\(618\) | −4.14333 | − | 9.65489i | −0.166669 | − | 0.388377i | ||||
\(619\) | −21.5238 | − | 2.11991i | −0.865114 | − | 0.0852063i | −0.344283 | − | 0.938866i | \(-0.611878\pi\) |
−0.520831 | + | 0.853660i | \(0.674378\pi\) | |||||||
\(620\) | −0.141802 | + | 0.514022i | −0.00569492 | + | 0.0206436i | ||||
\(621\) | −1.58536 | + | 5.22625i | −0.0636185 | + | 0.209722i | ||||
\(622\) | 3.47068 | + | 0.297466i | 0.139162 | + | 0.0119273i | ||||
\(623\) | −8.66944 | − | 20.9299i | −0.347334 | − | 0.838538i | ||||
\(624\) | −20.3714 | − | 12.1655i | −0.815509 | − | 0.487009i | ||||
\(625\) | −9.52465 | + | 22.9945i | −0.380986 | + | 0.919782i | ||||
\(626\) | 14.4768 | − | 27.9301i | 0.578609 | − | 1.11631i | ||||
\(627\) | −2.23370 | − | 4.17897i | −0.0892056 | − | 0.166892i | ||||
\(628\) | 4.13459 | + | 12.4818i | 0.164988 | + | 0.498076i | ||||
\(629\) | −0.207800 | − | 0.253205i | −0.00828552 | − | 0.0100959i | ||||
\(630\) | 0.153240 | + | 0.149404i | 0.00610524 | + | 0.00595240i | ||||
\(631\) | −18.5914 | + | 3.69806i | −0.740112 | + | 0.147217i | −0.550727 | − | 0.834685i | \(-0.685649\pi\) |
−0.189385 | + | 0.981903i | \(0.560649\pi\) | |||||||
\(632\) | −26.0520 | + | 8.99776i | −1.03629 | + | 0.357912i | ||||
\(633\) | −3.67269 | + | 18.4639i | −0.145976 | + | 0.733872i | ||||
\(634\) | 5.93453 | − | 31.9460i | 0.235690 | − | 1.26874i | ||||
\(635\) | 0.374204 | + | 0.200016i | 0.0148498 | + | 0.00793740i | ||||
\(636\) | 1.55652 | + | 6.90541i | 0.0617200 | + | 0.273817i | ||||
\(637\) | −2.26964 | − | 23.0441i | −0.0899265 | − | 0.913039i | ||||
\(638\) | −8.85974 | − | 2.56540i | −0.350761 | − | 0.101565i | ||||
\(639\) | −1.46155 | −0.0578179 | ||||||||
\(640\) | −0.610132 | − | 0.757936i | −0.0241176 | − | 0.0299601i | ||||
\(641\) | 16.0187 | 0.632700 | 0.316350 | − | 0.948643i | \(-0.397543\pi\) | ||||
0.316350 | + | 0.948643i | \(0.397543\pi\) | |||||||
\(642\) | 14.1297 | + | 4.09134i | 0.557653 | + | 0.161472i | ||||
\(643\) | 3.78636 | + | 38.4435i | 0.149319 | + | 1.51606i | 0.719470 | + | 0.694524i | \(0.244385\pi\) |
−0.570150 | + | 0.821540i | \(0.693115\pi\) | |||||||
\(644\) | −18.7501 | + | 4.22637i | −0.738856 | + | 0.166542i | ||||
\(645\) | −0.875494 | − | 0.467961i | −0.0344725 | − | 0.0184260i | ||||
\(646\) | 10.8255 | − | 58.2744i | 0.425924 | − | 2.29277i | ||||
\(647\) | 4.71628 | − | 23.7104i | 0.185416 | − | 0.932150i | −0.770260 | − | 0.637730i | \(-0.779874\pi\) |
0.955676 | − | 0.294420i | \(-0.0951265\pi\) | |||||||
\(648\) | −1.23751 | + | 2.54334i | −0.0486142 | + | 0.0999117i | ||||
\(649\) | 0.437398 | − | 0.0870038i | 0.0171694 | − | 0.00341520i | ||||
\(650\) | 29.9885 | + | 29.2377i | 1.17624 | + | 1.14680i | ||||
\(651\) | 3.46066 | + | 4.21682i | 0.135634 | + | 0.165270i | ||||
\(652\) | 23.4857 | − | 7.77966i | 0.919770 | − | 0.304675i | ||||
\(653\) | 17.5225 | + | 32.7823i | 0.685709 | + | 1.28287i | 0.948119 | + | 0.317914i | \(0.102982\pi\) |
−0.262411 | + | 0.964956i | \(0.584518\pi\) | |||||||
\(654\) | 0.930295 | − | 1.79482i | 0.0363774 | − | 0.0701829i | ||||
\(655\) | −0.331981 | + | 0.801472i | −0.0129716 | + | 0.0313161i | ||||
\(656\) | 42.0273 | + | 6.16483i | 1.64089 | + | 0.240696i | ||||
\(657\) | 3.83794 | + | 9.26560i | 0.149732 | + | 0.361486i | ||||
\(658\) | 5.59576 | + | 0.479603i | 0.218146 | + | 0.0186969i | ||||
\(659\) | −11.9987 | + | 39.5544i | −0.467403 | + | 1.54082i | 0.333927 | + | 0.942599i | \(0.391626\pi\) |
−0.801330 | + | 0.598222i | \(0.795874\pi\) | |||||||
\(660\) | 0.106720 | + | 0.0294407i | 0.00415407 | + | 0.00114598i | ||||
\(661\) | 21.6823 | + | 2.13552i | 0.843343 | + | 0.0830621i | 0.510455 | − | 0.859904i | \(-0.329477\pi\) |
0.332888 | + | 0.942966i | \(0.391977\pi\) | |||||||
\(662\) | −11.0291 | − | 25.7004i | −0.428659 | − | 0.998872i | ||||
\(663\) | 28.0778 | + | 18.7610i | 1.09045 | + | 0.728617i | ||||
\(664\) | −21.9506 | + | 10.0863i | −0.851847 | + | 0.391423i | ||||
\(665\) | 0.618986 | + | 0.926378i | 0.0240032 | + | 0.0359234i | ||||
\(666\) | 0.0168852 | + | 0.0796011i | 0.000654290 | + | 0.00308448i | ||||
\(667\) | 16.0651 | + | 52.9596i | 0.622044 | + | 2.05060i | ||||
\(668\) | −21.2557 | + | 0.538969i | −0.822407 | + | 0.0208533i | ||||
\(669\) | 16.5168 | + | 13.5550i | 0.638577 | + | 0.524066i | ||||
\(670\) | 0.0256307 | − | 0.0320510i | 0.000990199 | − | 0.00123824i | ||||
\(671\) | 2.54722 | + | 2.54722i | 0.0983343 | + | 0.0983343i | ||||
\(672\) | −9.93417 | + | 0.630448i | −0.383219 | + | 0.0243201i | ||||
\(673\) | 21.1933 | − | 21.1933i | 0.816940 | − | 0.816940i | −0.168723 | − | 0.985663i | \(-0.553964\pi\) |
0.985663 | + | 0.168723i | \(0.0539644\pi\) | |||||||
\(674\) | −0.353154 | − | 3.17280i | −0.0136030 | − | 0.122212i | ||||
\(675\) | 3.16727 | − | 3.85933i | 0.121908 | − | 0.148546i | ||||
\(676\) | 40.5527 | − | 18.0150i | 1.55972 | − | 0.692884i | ||||
\(677\) | 6.94903 | − | 2.10797i | 0.267073 | − | 0.0810157i | −0.153908 | − | 0.988085i | \(-0.549186\pi\) |
0.420981 | + | 0.907069i | \(0.361686\pi\) | |||||||
\(678\) | 6.97758 | − | 10.7348i | 0.267972 | − | 0.412267i | ||||
\(679\) | −20.4414 | + | 13.6585i | −0.784470 | + | 0.524166i | ||||
\(680\) | 0.812555 | + | 1.12132i | 0.0311601 | + | 0.0430005i | ||||
\(681\) | −0.00965346 | + | 0.0144474i | −0.000369921 | + | 0.000553626i | ||||
\(682\) | 2.62045 | + | 1.04671i | 0.100342 | + | 0.0400806i | ||||
\(683\) | −0.208383 | + | 2.11575i | −0.00797355 | + | 0.0809568i | −0.998348 | − | 0.0574576i | \(-0.981701\pi\) |
0.990374 | + | 0.138414i | \(0.0442006\pi\) | |||||||
\(684\) | −9.04947 | + | 11.6151i | −0.346015 | + | 0.444116i | ||||
\(685\) | 0.440251 | + | 0.133549i | 0.0168211 | + | 0.00510263i | ||||
\(686\) | −17.4781 | − | 20.7550i | −0.667317 | − | 0.792429i | ||||
\(687\) | −18.9497 | + | 7.84921i | −0.722975 | + | 0.299466i | ||||
\(688\) | 43.4475 | − | 15.6249i | 1.65642 | − | 0.595695i | ||||
\(689\) | −19.3967 | − | 8.03437i | −0.738955 | − | 0.306085i | ||||
\(690\) | −0.200861 | − | 0.633147i | −0.00764666 | − | 0.0241035i | ||||
\(691\) | 6.06008 | − | 3.23918i | 0.230536 | − | 0.123224i | −0.352085 | − | 0.935968i | \(-0.614527\pi\) |
0.582621 | + | 0.812744i | \(0.302027\pi\) | |||||||
\(692\) | 6.15287 | + | 7.12126i | 0.233897 | + | 0.270710i | ||||
\(693\) | 0.875487 | − | 0.718494i | 0.0332570 | − | 0.0272933i | ||||
\(694\) | −0.112148 | − | 8.84715i | −0.00425709 | − | 0.335833i | ||||
\(695\) | 0.195159 | + | 0.981131i | 0.00740280 | + | 0.0372164i | ||||
\(696\) | 3.89168 | + | 28.3961i | 0.147514 | + | 1.07635i | ||||
\(697\) | −59.2917 | − | 11.7938i | −2.24583 | − | 0.446724i | ||||
\(698\) | 10.5708 | + | 15.3943i | 0.400111 | + | 0.582683i | ||||
\(699\) | −0.256393 | + | 0.479678i | −0.00969768 | + | 0.0181431i | ||||
\(700\) | 17.3143 | + | 2.98993i | 0.654421 | + | 0.113009i | ||||
\(701\) | −16.7185 | + | 1.64662i | −0.631448 | + | 0.0621922i | −0.408678 | − | 0.912679i | \(-0.634010\pi\) |
−0.222770 | + | 0.974871i | \(0.571510\pi\) | |||||||
\(702\) | −4.04797 | − | 7.34766i | −0.152781 | − | 0.277319i | ||||
\(703\) | 0.423609i | 0.0159767i | ||||||||
\(704\) | −4.34349 | + | 2.76524i | −0.163701 | + | 0.104219i | ||||
\(705\) | 0.194094i | 0.00731000i | ||||||||
\(706\) | −9.55669 | + | 5.26497i | −0.359671 | + | 0.198150i | ||||
\(707\) | 30.8571 | − | 3.03916i | 1.16050 | − | 0.114299i | ||||
\(708\) | −0.798865 | − | 1.13236i | −0.0300232 | − | 0.0425566i | ||||
\(709\) | −3.63600 | + | 6.80248i | −0.136553 | + | 0.255473i | −0.940898 | − | 0.338690i | \(-0.890016\pi\) |
0.804345 | + | 0.594162i | \(0.202516\pi\) | |||||||
\(710\) | 0.146539 | − | 0.100624i | 0.00549950 | − | 0.00377635i | ||||
\(711\) | −9.55740 | − | 1.90109i | −0.358431 | − | 0.0712963i | ||||
\(712\) | −9.23799 | + | 35.2226i | −0.346208 | + | 1.32002i | ||||
\(713\) | −3.30302 | − | 16.6054i | −0.123699 | − | 0.621877i | ||||
\(714\) | 14.1656 | − | 0.179566i | 0.530134 | − | 0.00672009i | ||||
\(715\) | −0.253816 | + | 0.208302i | −0.00949219 | + | 0.00779004i | ||||
\(716\) | 32.2108 | + | 2.34987i | 1.20378 | + | 0.0878187i | ||||
\(717\) | 13.2470 | − | 7.08069i | 0.494720 | − | 0.264433i | ||||
\(718\) | −21.3125 | + | 6.76123i | −0.795374 | + | 0.252327i | ||||
\(719\) | 23.0861 | + | 9.56258i | 0.860967 | + | 0.356624i | 0.769086 | − | 0.639146i | \(-0.220712\pi\) |
0.0918813 | + | 0.995770i | \(0.470712\pi\) | |||||||
\(720\) | −0.0510258 | − | 0.340202i | −0.00190162 | − | 0.0126786i | ||||
\(721\) | 12.0777 | − | 5.00273i | 0.449796 | − | 0.186311i | ||||
\(722\) | −38.0786 | + | 32.0666i | −1.41714 | + | 1.19339i | ||||
\(723\) | 4.30224 | + | 1.30507i | 0.160002 | + | 0.0485361i | ||||
\(724\) | 29.6983 | − | 3.68728i | 1.10373 | − | 0.137037i | ||||
\(725\) | 4.95888 | − | 50.3484i | 0.184168 | − | 1.86989i | ||||
\(726\) | −5.55319 | + | 13.9024i | −0.206098 | + | 0.515968i | ||||
\(727\) | 20.8797 | − | 31.2487i | 0.774385 | − | 1.15895i | −0.209088 | − | 0.977897i | \(-0.567050\pi\) |
0.983473 | − | 0.181053i | \(-0.0579504\pi\) | |||||||
\(728\) | 15.4572 | − | 25.1536i | 0.572882 | − | 0.932255i | ||||
\(729\) | −0.831470 | + | 0.555570i | −0.0307952 | + | 0.0205767i | ||||
\(730\) | −1.02272 | − | 0.664763i | −0.0378525 | − | 0.0246040i | ||||
\(731\) | −62.8819 | + | 19.0750i | −2.32577 | + | 0.705515i | ||||
\(732\) | 4.02015 | − | 10.4470i | 0.148589 | − | 0.386131i | ||||
\(733\) | −7.47788 | + | 9.11183i | −0.276202 | + | 0.336553i | −0.892573 | − | 0.450903i | \(-0.851102\pi\) |
0.616371 | + | 0.787456i | \(0.288602\pi\) | |||||||
\(734\) | 45.1416 | − | 5.02456i | 1.66621 | − | 0.185460i | ||||
\(735\) | 0.237387 | − | 0.237387i | 0.00875614 | − | 0.00875614i | ||||
\(736\) | 28.1141 | + | 12.8086i | 1.03630 | + | 0.472132i | ||||
\(737\) | −0.153566 | − | 0.153566i | −0.00565666 | − | 0.00565666i | ||||
\(738\) | 11.7288 | + | 9.37935i | 0.431744 | + | 0.345259i | ||||
\(739\) | 12.3966 | + | 10.1736i | 0.456016 | + | 0.374243i | 0.834177 | − | 0.551497i | \(-0.185943\pi\) |
−0.378161 | + | 0.925740i | \(0.623443\pi\) | |||||||
\(740\) | −0.00717331 | − | 0.00681852i | −0.000263696 | − | 0.000250654i | ||||
\(741\) | −12.6771 | − | 41.7908i | −0.465705 | − | 1.53522i | ||||
\(742\) | −8.61605 | + | 1.82767i | −0.316305 | + | 0.0670957i | ||||
\(743\) | 29.1093 | + | 43.5652i | 1.06792 | + | 1.59825i | 0.763608 | + | 0.645680i | \(0.223426\pi\) |
0.304310 | + | 0.952573i | \(0.401574\pi\) | |||||||
\(744\) | −0.333348 | − | 8.76196i | −0.0122211 | − | 0.321229i | ||||
\(745\) | 0.665677 | + | 0.444791i | 0.0243885 | + | 0.0162959i | ||||
\(746\) | 43.2562 | − | 18.5631i | 1.58372 | − | 0.679643i | ||||
\(747\) | −8.49966 | − | 0.837143i | −0.310986 | − | 0.0306295i | ||||
\(748\) | 6.37315 | − | 3.61714i | 0.233025 | − | 0.132256i | ||||
\(749\) | −5.31317 | + | 17.5152i | −0.194139 | + | 0.639991i | ||||
\(750\) | −0.103785 | + | 1.21091i | −0.00378969 | + | 0.0442162i | ||||
\(751\) | 4.93946 | + | 11.9249i | 0.180244 | + | 0.435147i | 0.988017 | − | 0.154347i | \(-0.0493274\pi\) |
−0.807773 | + | 0.589494i | \(0.799327\pi\) | |||||||
\(752\) | −6.69866 | − | 6.05164i | −0.244275 | − | 0.220681i | ||||
\(753\) | −4.30910 | + | 10.4031i | −0.157032 | + | 0.379109i | ||||
\(754\) | −75.4725 | − | 39.1191i | −2.74855 | − | 1.42463i | ||||
\(755\) | 0.604526 | + | 1.13099i | 0.0220009 | + | 0.0411609i | ||||
\(756\) | −3.14482 | − | 1.57979i | −0.114376 | − | 0.0574564i | ||||
\(757\) | −19.3902 | − | 23.6270i | −0.704748 | − | 0.858738i | 0.290422 | − | 0.956899i | \(-0.406204\pi\) |
−0.995171 | + | 0.0981604i | \(0.968704\pi\) | |||||||
\(758\) | 7.71700 | − | 7.91516i | 0.280294 | − | 0.287491i | ||||
\(759\) | −3.44758 | + | 0.685765i | −0.125139 | + | 0.0248917i | ||||
\(760\) | 0.107651 | − | 1.78760i | 0.00390491 | − | 0.0648432i | ||||
\(761\) | 3.05804 | − | 15.3738i | 0.110854 | − | 0.557301i | −0.884942 | − | 0.465701i | \(-0.845802\pi\) |
0.995796 | − | 0.0915994i | \(-0.0291979\pi\) | |||||||
\(762\) | −6.85991 | − | 1.27435i | −0.248508 | − | 0.0461648i | ||||
\(763\) | 2.21838 | + | 1.18575i | 0.0803109 | + | 0.0429271i | ||||
\(764\) | −15.7960 | + | 24.9892i | −0.571479 | + | 0.904077i | ||||
\(765\) | 0.0479883 | + | 0.487233i | 0.00173502 | + | 0.0176160i | ||||
\(766\) | −15.0650 | + | 52.0277i | −0.544320 | + | 1.87984i | ||||
\(767\) | 4.11017 | 0.148410 | ||||||||
\(768\) | 13.3322 | + | 8.84612i | 0.481083 | + | 0.319207i | ||||
\(769\) | 4.74151 | 0.170983 | 0.0854916 | − | 0.996339i | \(-0.472754\pi\) | ||||
0.0854916 | + | 0.996339i | \(0.472754\pi\) | |||||||
\(770\) | −0.0383123 | + | 0.132313i | −0.00138068 | + | 0.00476825i | ||||
\(771\) | 2.18915 | + | 22.2268i | 0.0788402 | + | 0.800478i | ||||
\(772\) | 8.52209 | − | 13.4819i | 0.306717 | − | 0.485225i | ||||
\(773\) | 24.2602 | + | 12.9674i | 0.872579 | + | 0.466403i | 0.845963 | − | 0.533242i | \(-0.179027\pi\) |
0.0266168 | + | 0.999646i | \(0.491527\pi\) | |||||||
\(774\) | 16.0496 | + | 2.98149i | 0.576890 | + | 0.107168i | ||||
\(775\) | −3.01949 | + | 15.1800i | −0.108463 | + | 0.545282i | ||||
\(776\) | 39.4452 | + | 2.37542i | 1.41600 | + | 0.0852728i | ||||
\(777\) | −0.0993035 | + | 0.0197527i | −0.00356249 | + | 0.000708624i | ||||
\(778\) | 19.4172 | − | 19.9158i | 0.696139 | − | 0.714015i | ||||
\(779\) | 49.5972 | + | 60.4344i | 1.77700 | + | 2.16529i | ||||
\(780\) | 0.911730 | + | 0.458004i | 0.0326452 | + | 0.0163992i | ||||
\(781\) | −0.443439 | − | 0.829616i | −0.0158675 | − | 0.0296860i | ||||
\(782\) | −39.0367 | − | 20.2336i | −1.39595 | − | 0.723553i | ||||
\(783\) | −3.87788 | + | 9.36203i | −0.138584 | + | 0.334572i | ||||
\(784\) | 0.791340 | + | 15.5943i | 0.0282621 | + | 0.556938i | ||||
\(785\) | −0.216372 | − | 0.522368i | −0.00772265 | − | 0.0186441i | ||||
\(786\) | 1.21819 | − | 14.2132i | 0.0434512 | − | 0.506967i | ||||
\(787\) | 1.29929 | − | 4.28320i | 0.0463148 | − | 0.152679i | −0.930733 | − | 0.365699i | \(-0.880830\pi\) |
0.977048 | + | 0.213020i | \(0.0683299\pi\) | |||||||
\(788\) | 22.8502 | − | 12.9689i | 0.814005 | − | 0.461996i | ||||
\(789\) | 4.23403 | + | 0.417015i | 0.150735 | + | 0.0148461i | ||||
\(790\) | 1.08914 | − | 0.467396i | 0.0387498 | − | 0.0166292i | ||||
\(791\) | 13.2458 | + | 8.85059i | 0.470968 | + | 0.314691i | ||||
\(792\) | −1.81914 | + | 0.0692089i | −0.0646403 | + | 0.00245923i | ||||
\(793\) | 18.4449 | + | 27.6048i | 0.654999 | + | 0.980275i | ||||
\(794\) | −37.5141 | + | 7.95762i | −1.33133 | + | 0.282405i | ||||
\(795\) | −0.0883594 | − | 0.291282i | −0.00313379 | − | 0.0103307i | ||||
\(796\) | −9.06472 | − | 8.61639i | −0.321290 | − | 0.305400i | ||||
\(797\) | 12.1424 | + | 9.96500i | 0.430105 | + | 0.352978i | 0.824402 | − | 0.566005i | \(-0.191512\pi\) |
−0.394297 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(798\) | −14.3085 | − | 11.4423i | −0.506515 | − | 0.405052i | ||||
\(799\) | 9.08478 | + | 9.08478i | 0.321397 | + | 0.321397i | ||||
\(800\) | −19.2636 | − | 20.6531i | −0.681069 | − | 0.730197i | ||||
\(801\) | −9.10346 | + | 9.10346i | −0.321655 | + | 0.321655i | ||||
\(802\) | −4.11277 | + | 0.457778i | −0.145227 | + | 0.0161647i | ||||
\(803\) | −4.09498 | + | 4.98975i | −0.144509 | + | 0.176084i | ||||
\(804\) | −0.242365 | + | 0.629821i | −0.00854755 | + | 0.0222121i | ||||
\(805\) | 0.790910 | − | 0.239920i | 0.0278759 | − | 0.00845607i | ||||
\(806\) | 21.8048 | + | 14.1730i | 0.768040 | + | 0.499224i | ||||
\(807\) | −9.12790 | + | 6.09907i | −0.321317 | + | 0.214697i | ||||
\(808\) | −42.4621 | − | 26.0935i | −1.49381 | − | 0.917965i | ||||
\(809\) | −21.6126 | + | 32.3455i | −0.759857 | + | 1.13721i | 0.226727 | + | 0.973958i | \(0.427197\pi\) |
−0.986585 | + | 0.163249i | \(0.947803\pi\) | |||||||
\(810\) | 0.0451159 | − | 0.112948i | 0.00158521 | − | 0.00396858i | ||||
\(811\) | 3.56544 | − | 36.2005i | 0.125199 | − | 1.27117i | −0.703183 | − | 0.711009i | \(-0.748239\pi\) |
0.828383 | − | 0.560162i | \(-0.189261\pi\) | |||||||
\(812\) | −35.3910 | + | 4.39407i | −1.24198 | + | 0.154202i | ||||
\(813\) | −15.4288 | − | 4.68028i | −0.541112 | − | 0.164144i | ||||
\(814\) | −0.0400608 | + | 0.0337358i | −0.00140413 | + | 0.00118244i | ||||
\(815\) | −0.982889 | + | 0.407126i | −0.0344291 | + | 0.0142610i | ||||
\(816\) | −18.3119 | − | 13.5352i | −0.641043 | − | 0.473828i | ||||
\(817\) | 78.5118 | + | 32.5207i | 2.74678 | + | 1.13775i | ||||
\(818\) | 14.9060 | − | 4.72883i | 0.521177 | − | 0.165340i | ||||
\(819\) | 9.20557 | − | 4.92048i | 0.321669 | − | 0.171936i | ||||
\(820\) | −1.82171 | − | 0.132899i | −0.0636169 | − | 0.00464103i | ||||
\(821\) | 26.9618 | − | 22.1270i | 0.940973 | − | 0.772237i | −0.0328697 | − | 0.999460i | \(-0.510465\pi\) |
0.973843 | + | 0.227223i | \(0.0729646\pi\) | |||||||
\(822\) | −7.56463 | + | 0.0958907i | −0.263847 | + | 0.00334457i | ||||
\(823\) | 5.15953 | + | 25.9387i | 0.179850 | + | 0.904166i | 0.960304 | + | 0.278954i | \(0.0899877\pi\) |
−0.780455 | + | 0.625212i | \(0.785012\pi\) | |||||||
\(824\) | −20.3253 | − | 5.33082i | −0.708066 | − | 0.185708i | ||||
\(825\) | 3.15163 | + | 0.626899i | 0.109726 | + | 0.0218258i | ||||
\(826\) | 1.42144 | − | 0.976064i | 0.0494584 | − | 0.0339616i | ||||
\(827\) | 20.0707 | − | 37.5497i | 0.697928 | − | 1.30573i | −0.243953 | − | 0.969787i | \(-0.578444\pi\) |
0.941882 | − | 0.335945i | \(-0.109056\pi\) | |||||||
\(828\) | 6.29666 | + | 8.92526i | 0.218824 | + | 0.310174i | ||||
\(829\) | 42.0439 | − | 4.14096i | 1.46024 | − | 0.143822i | 0.663517 | − | 0.748161i | \(-0.269063\pi\) |
0.796727 | + | 0.604339i | \(0.206563\pi\) | |||||||
\(830\) | 0.909836 | − | 0.501247i | 0.0315809 | − | 0.0173985i | ||||
\(831\) | 3.37448i | 0.117059i | ||||||||
\(832\) | −44.2336 | + | 17.1860i | −1.53353 | + | 0.595817i | ||||
\(833\) | − | 22.2223i | − | 0.769957i | ||||||
\(834\) | −7.93763 | − | 14.4080i | −0.274858 | − | 0.498907i | ||||
\(835\) | 0.909905 | − | 0.0896179i | 0.0314886 | − | 0.00310135i | ||||
\(836\) | −9.33874 | − | 1.61266i | −0.322987 | − | 0.0557750i | ||||
\(837\) | 1.46136 | − | 2.73401i | 0.0505120 | − | 0.0945013i | ||||
\(838\) | −15.3387 | − | 22.3378i | −0.529867 | − | 0.771647i | ||||
\(839\) | 3.74410 | + | 0.744748i | 0.129261 | + | 0.0257116i | 0.259297 | − | 0.965798i | \(-0.416509\pi\) |
−0.130036 | + | 0.991509i | \(0.541509\pi\) | |||||||
\(840\) | 0.424074 | − | 0.0581193i | 0.0146319 | − | 0.00200531i | ||||
\(841\) | 14.3753 | + | 72.2697i | 0.495701 | + | 2.49206i | ||||
\(842\) | −0.556765 | − | 43.9221i | −0.0191874 | − | 1.51366i | ||||
\(843\) | −2.53493 | + | 2.08036i | −0.0873077 | + | 0.0716515i | ||||
\(844\) | 24.6157 | + | 28.4899i | 0.847308 | + | 0.980664i | ||||
\(845\) | −1.68282 | + | 0.899486i | −0.0578907 | + | 0.0309432i | ||||
\(846\) | −0.965134 | − | 3.04226i | −0.0331820 | − | 0.104595i | ||||
\(847\) | −17.2094 | − | 7.12837i | −0.591323 | − | 0.244934i | ||||
\(848\) | 12.8078 | + | 6.03236i | 0.439822 | + | 0.207152i | ||||
\(849\) | 6.57589 | − | 2.72382i | 0.225684 | − | 0.0934814i | ||||
\(850\) | 25.8910 | + | 30.7451i | 0.888052 | + | 1.05455i | ||||
\(851\) | 0.300712 | + | 0.0912201i | 0.0103083 | + | 0.00312698i | ||||
\(852\) | −1.79652 | + | 2.30586i | −0.0615477 | + | 0.0789975i | ||||
\(853\) | 1.01208 | − | 10.2758i | 0.0346528 | − | 0.351836i | −0.962186 | − | 0.272392i | \(-0.912185\pi\) |
0.996839 | − | 0.0794444i | \(-0.0253146\pi\) | |||||||
\(854\) | 12.9344 | + | 5.16651i | 0.442606 | + | 0.176794i | ||||
\(855\) | 0.351764 | − | 0.526452i | 0.0120301 | − | 0.0180043i | ||||
\(856\) | 23.8229 | − | 17.2631i | 0.814250 | − | 0.590042i | ||||
\(857\) | 34.5880 | − | 23.1109i | 1.18150 | − | 0.789455i | 0.199793 | − | 0.979838i | \(-0.435973\pi\) |
0.981710 | + | 0.190383i | \(0.0609731\pi\) | |||||||
\(858\) | 2.94257 | − | 4.52705i | 0.100458 | − | 0.154551i | ||||
\(859\) | −54.4939 | + | 16.5305i | −1.85931 | + | 0.564015i | −0.860827 | + | 0.508898i | \(0.830053\pi\) |
−0.998480 | + | 0.0551168i | \(0.982447\pi\) | |||||||
\(860\) | −1.81444 | + | 0.806041i | −0.0618720 | + | 0.0274858i | ||||
\(861\) | −11.8545 | + | 14.4447i | −0.404000 | + | 0.492275i | ||||
\(862\) | 4.36665 | + | 39.2309i | 0.148729 | + | 1.33621i | ||||
\(863\) | −29.3008 | + | 29.3008i | −0.997411 | + | 0.997411i | −0.999997 | − | 0.00258520i | \(-0.999177\pi\) |
0.00258520 | + | 0.999997i | \(0.499177\pi\) | |||||||
\(864\) | 2.49144 | + | 5.07865i | 0.0847606 | + | 0.172779i | ||||
\(865\) | −0.286158 | − | 0.286158i | −0.00972968 | − | 0.00972968i | ||||
\(866\) | 23.2890 | − | 29.1228i | 0.791394 | − | 0.989634i | ||||
\(867\) | 11.9105 | + | 9.77467i | 0.404501 | + | 0.331965i | ||||
\(868\) | 10.9066 | − | 0.276553i | 0.370195 | − | 0.00938684i | ||||
\(869\) | −1.82064 | − | 6.00186i | −0.0617611 | − | 0.203599i | ||||
\(870\) | −0.255746 | − | 1.20565i | −0.00867060 | − | 0.0408753i | ||||
\(871\) | −1.11200 | − | 1.66422i | −0.0376786 | − | 0.0563901i | ||||
\(872\) | −1.68815 | − | 3.67388i | −0.0571679 | − | 0.124413i | ||||
\(873\) | 11.6167 | + | 7.76201i | 0.393165 | + | 0.262704i | ||||
\(874\) | 22.4244 | + | 52.2539i | 0.758516 | + | 1.76751i | ||||
\(875\) | −1.50494 | − | 0.148224i | −0.0508763 | − | 0.00501088i | ||||
\(876\) | 19.3358 | + | 5.33413i | 0.653295 | + | 0.180223i | ||||
\(877\) | 3.69610 | − | 12.1844i | 0.124808 | − | 0.411438i | −0.872162 | − | 0.489217i | \(-0.837283\pi\) |
0.996971 | + | 0.0777785i | \(0.0247827\pi\) | |||||||
\(878\) | −26.4202 | − | 2.26443i | −0.891638 | − | 0.0764207i | ||||
\(879\) | −10.4133 | − | 25.1399i | −0.351232 | − | 0.847949i | ||||
\(880\) | 0.177627 | − | 0.132182i | 0.00598781 | − | 0.00445587i | ||||
\(881\) | −3.54104 | + | 8.54883i | −0.119301 | + | 0.288017i | −0.972237 | − | 0.233997i | \(-0.924819\pi\) |
0.852937 | + | 0.522015i | \(0.174819\pi\) | |||||||
\(882\) | −2.54043 | + | 4.90124i | −0.0855406 | + | 0.165033i | ||||
\(883\) | −26.9861 | − | 50.4874i | −0.908154 | − | 1.69904i | −0.690938 | − | 0.722914i | \(-0.742802\pi\) |
−0.217217 | − | 0.976123i | \(-0.569698\pi\) | |||||||
\(884\) | 64.1119 | − | 21.2371i | 2.15632 | − | 0.714282i | ||||
\(885\) | 0.0378037 | + | 0.0460639i | 0.00127076 | + | 0.00154842i | ||||
\(886\) | 8.74050 | + | 8.52169i | 0.293643 | + | 0.286292i | ||||
\(887\) | −37.9759 | + | 7.55388i | −1.27511 | + | 0.253634i | −0.785802 | − | 0.618479i | \(-0.787749\pi\) |
−0.489304 | + | 0.872113i | \(0.662749\pi\) | |||||||
\(888\) | 0.146341 | + | 0.0712052i | 0.00491087 | + | 0.00238949i | ||||
\(889\) | 1.69370 | − | 8.51480i | 0.0568048 | − | 0.285577i | ||||
\(890\) | 0.285988 | − | 1.53949i | 0.00958634 | − | 0.0516039i | ||||
\(891\) | −0.567629 | − | 0.303404i | −0.0190163 | − | 0.0101644i | ||||
\(892\) | 41.6878 | − | 9.39667i | 1.39581 | − | 0.314624i | ||||
\(893\) | −1.62858 | − | 16.5353i | −0.0544985 | − | 0.553333i | ||||
\(894\) | −12.6456 | − | 3.66164i | −0.422934 | − | 0.122463i | ||||
\(895\) | −1.38878 | −0.0464217 | ||||||||
\(896\) | −11.2163 | + | 16.4479i | −0.374711 | + | 0.549487i | ||||
\(897\) | −32.3964 | −1.08168 | ||||||||
\(898\) | 27.3855 | + | 7.92968i | 0.913868 | + | 0.264617i | ||||
\(899\) | −3.07912 | − | 31.2629i | −0.102695 | − | 1.04268i | ||||
\(900\) | −2.19564 | − | 9.74082i | −0.0731879 | − | 0.324694i | ||||
\(901\) | −17.7695 | − | 9.49802i | −0.591989 | − | 0.316425i | ||||
\(902\) | −1.76542 | + | 9.50335i | −0.0587819 | + | 0.316427i | ||||
\(903\) | −3.96260 | + | 19.9214i | −0.131867 | + | 0.662941i | ||||
\(904\) | −8.35935 | − | 24.2035i | −0.278028 | − | 0.804997i | ||||
\(905\) | −1.26213 | + | 0.251054i | −0.0419547 | + | 0.00834532i | ||||
\(906\) | −15.0993 | − | 14.7213i | −0.501640 | − | 0.489081i | ||||
\(907\) | 25.1449 | + | 30.6391i | 0.834922 | + | 1.01736i | 0.999520 | + | 0.0309945i | \(0.00986742\pi\) |
−0.164598 | + | 0.986361i | \(0.552633\pi\) | |||||||
\(908\) | 0.0109276 | + | 0.0329887i | 0.000362644 | + | 0.00109477i | ||||
\(909\) | −8.30632 | − | 15.5400i | −0.275503 | − | 0.515430i | ||||
\(910\) | −0.584214 | + | 1.12712i | −0.0193665 | + | 0.0373638i | ||||
\(911\) | 3.71914 | − | 8.97880i | 0.123221 | − | 0.297481i | −0.850217 | − | 0.526432i | \(-0.823530\pi\) |
0.973438 | + | 0.228951i | \(0.0735295\pi\) | |||||||
\(912\) | 7.20154 | + | 28.5544i | 0.238467 | + | 0.945532i | ||||
\(913\) | −2.10364 | − | 5.07865i | −0.0696205 | − | 0.168079i | ||||
\(914\) | 24.2625 | + | 2.07949i | 0.802531 | + | 0.0687835i | ||||
\(915\) | −0.139726 | + | 0.460616i | −0.00461921 | + | 0.0152275i | ||||
\(916\) | −10.9092 | + | 39.5448i | −0.360449 | + | 1.30660i | ||||
\(917\) | 17.6644 | + | 1.73979i | 0.583329 | + | 0.0574529i | ||||
\(918\) | −3.17495 | − | 7.39834i | −0.104789 | − | 0.244182i | ||||
\(919\) | −34.8858 | − | 23.3099i | −1.15078 | − | 0.768924i | −0.174331 | − | 0.984687i | \(-0.555776\pi\) |
−0.976446 | + | 0.215763i | \(0.930776\pi\) | |||||||
\(920\) | −1.24580 | − | 0.461362i | −0.0410729 | − | 0.0152107i | ||||
\(921\) | −9.28055 | − | 13.8893i | −0.305805 | − | 0.457669i | ||||
\(922\) | 0.629899 | + | 2.96949i | 0.0207446 | + | 0.0977950i | ||||
\(923\) | −2.51668 | − | 8.29638i | −0.0828375 | − | 0.273079i | ||||
\(924\) | −0.0574174 | − | 2.26441i | −0.00188889 | − | 0.0744936i | ||||
\(925\) | −0.222062 | − | 0.182241i | −0.00730134 | − | 0.00599206i | ||||
\(926\) | 10.8336 | − | 13.5474i | 0.356015 | − | 0.445195i | ||||
\(927\) | −5.25319 | − | 5.25319i | −0.172537 | − | 0.172537i | ||||
\(928\) | 49.5838 | + | 28.7644i | 1.62767 | + | 0.944236i | ||||
\(929\) | 26.2463 | − | 26.2463i | 0.861112 | − | 0.861112i | −0.130356 | − | 0.991467i | \(-0.541612\pi\) |
0.991467 | + | 0.130356i | \(0.0416119\pi\) | |||||||
\(930\) | 0.0417100 | + | 0.374731i | 0.00136773 | + | 0.0122879i | ||||
\(931\) | −18.2317 | + | 22.2154i | −0.597519 | + | 0.728079i | ||||
\(932\) | 0.441625 | + | 0.994123i | 0.0144659 | + | 0.0325636i | ||||
\(933\) | 2.35708 | − | 0.715012i | 0.0771673 | − | 0.0234085i | ||||
\(934\) | 3.90808 | − | 6.01246i | 0.127876 | − | 0.196734i | ||||
\(935\) | −0.262008 | + | 0.175068i | −0.00856858 | + | 0.00572534i | ||||
\(936\) | −16.5680 | − | 2.64524i | −0.541543 | − | 0.0864623i | ||||
\(937\) | −5.32753 | + | 7.97322i | −0.174043 | + | 0.260474i | −0.908228 | − | 0.418476i | \(-0.862564\pi\) |
0.734185 | + | 0.678949i | \(0.237564\pi\) | |||||||
\(938\) | −0.779782 | − | 0.311476i | −0.0254608 | − | 0.0101701i | ||||
\(939\) | 2.18038 | − | 22.1377i | 0.0711539 | − | 0.722437i | ||||
\(940\) | 0.306219 | + | 0.238578i | 0.00998777 | + | 0.00778157i | ||||
\(941\) | −48.7719 | − | 14.7948i | −1.58992 | − | 0.482296i | −0.633364 | − | 0.773854i | \(-0.718326\pi\) |
−0.956553 | + | 0.291558i | \(0.905826\pi\) | |||||||
\(942\) | 5.98893 | + | 7.11177i | 0.195130 | + | 0.231714i | ||||
\(943\) | 53.5815 | − | 22.1942i | 1.74485 | − | 0.722742i | ||||
\(944\) | −2.76846 | − | 0.131525i | −0.0901057 | − | 0.00428078i | ||||
\(945\) | 0.139815 | + | 0.0579131i | 0.00454817 | + | 0.00188391i | ||||
\(946\) | 3.17712 | + | 10.0148i | 0.103297 | + | 0.325609i | ||||
\(947\) | 37.7982 | − | 20.2036i | 1.22828 | − | 0.656528i | 0.275823 | − | 0.961208i | \(-0.411050\pi\) |
0.952455 | + | 0.304680i | \(0.0985496\pi\) | |||||||
\(948\) | −14.7472 | + | 12.7418i | −0.478966 | + | 0.413834i | ||||
\(949\) | −45.9870 | + | 37.7406i | −1.49280 | + | 1.22511i | ||||
\(950\) | −0.658871 | − | 51.9770i | −0.0213766 | − | 1.68636i | ||||
\(951\) | −4.48233 | − | 22.5342i | −0.145350 | − | 0.730722i | ||||
\(952\) | 17.1289 | − | 22.5696i | 0.555151 | − | 0.731485i | ||||
\(953\) | 20.2849 | + | 4.03492i | 0.657093 | + | 0.130704i | 0.512365 | − | 0.858767i | \(-0.328769\pi\) |
0.144728 | + | 0.989471i | \(0.453769\pi\) | |||||||
\(954\) | 2.83336 | + | 4.12623i | 0.0917334 | + | 0.133592i | ||||
\(955\) | 0.599257 | − | 1.12113i | 0.0193915 | − | 0.0362790i | ||||
\(956\) | 5.11202 | − | 29.6032i | 0.165335 | − | 0.957435i | ||||
\(957\) | −6.49072 | + | 0.639280i | −0.209815 | + | 0.0206650i | ||||
\(958\) | −12.8505 | − | 23.3255i | −0.415181 | − | 0.753614i | ||||
\(959\) | − | 9.41319i | − | 0.303968i | ||||||
\(960\) | −0.599452 | − | 0.337670i | −0.0193472 | − | 0.0108983i | ||||
\(961\) | − | 21.3896i | − | 0.689987i | ||||||
\(962\) | −0.422776 | + | 0.232916i | −0.0136308 | + | 0.00750950i | ||||
\(963\) | 10.3515 | − | 1.01954i | 0.333573 | − | 0.0328541i | ||||
\(964\) | 7.34726 | − | 5.18341i | 0.236639 | − | 0.166946i | ||||
\(965\) | −0.323306 | + | 0.604862i | −0.0104076 | + | 0.0194712i | ||||
\(966\) | −11.2038 | + | 7.69335i | −0.360478 | + | 0.247530i | ||||
\(967\) | −41.6032 | − | 8.27539i | −1.33787 | − | 0.266119i | −0.526262 | − | 0.850322i | \(-0.676407\pi\) |
−0.811607 | + | 0.584204i | \(0.801407\pi\) | |||||||
\(968\) | 15.1078 | + | 25.8499i | 0.485582 | + | 0.830848i | ||||
\(969\) | −8.17646 | − | 41.1059i | −0.262666 | − | 1.32051i | ||||
\(970\) | −1.69912 | + | 0.0215383i | −0.0545554 | + | 0.000691554i | ||||
\(971\) | 10.9353 | − | 8.97434i | 0.350929 | − | 0.288000i | −0.442369 | − | 0.896833i | \(-0.645862\pi\) |
0.793299 | + | 0.608833i | \(0.208362\pi\) | |||||||
\(972\) | −0.145519 | + | 1.99470i | −0.00466752 | + | 0.0639800i | ||||
\(973\) | 18.0511 | − | 9.64853i | 0.578693 | − | 0.309318i | ||||
\(974\) | 1.82580 | − | 0.579223i | 0.0585025 | − | 0.0185595i | ||||
\(975\) | 27.3611 | + | 11.3333i | 0.876257 | + | 0.362958i | ||||
\(976\) | −11.5405 | − | 19.1838i | −0.369402 | − | 0.614060i | ||||
\(977\) | −10.0726 | + | 4.17223i | −0.322253 | + | 0.133481i | −0.537945 | − | 0.842980i | \(-0.680799\pi\) |
0.215692 | + | 0.976461i | \(0.430799\pi\) | |||||||
\(978\) | 13.3815 | − | 11.2688i | 0.427894 | − | 0.360336i | ||||
\(979\) | −7.92942 | − | 2.40536i | −0.253425 | − | 0.0768757i | ||||
\(980\) | −0.0827283 | − | 0.666315i | −0.00264266 | − | 0.0212847i | ||||
\(981\) | 0.140113 | − | 1.42259i | 0.00447347 | − | 0.0454199i | ||||
\(982\) | 11.6206 | − | 29.0921i | 0.370827 | − | 0.928367i | ||||
\(983\) | −4.94178 | + | 7.39589i | −0.157618 | + | 0.235892i | −0.901871 | − | 0.432006i | \(-0.857806\pi\) |
0.744253 | + | 0.667898i | \(0.232806\pi\) | |||||||
\(984\) | 29.2146 | − | 6.97540i | 0.931328 | − | 0.222368i | ||||
\(985\) | −0.939399 | + | 0.627687i | −0.0299318 | + | 0.0199998i | ||||
\(986\) | −68.4021 | − | 44.4612i | −2.17837 | − | 1.41593i | ||||
\(987\) | 3.80031 | − | 1.15281i | 0.120965 | − | 0.0366943i | ||||
\(988\) | −81.5153 | − | 31.3683i | −2.59335 | − | 0.997960i | ||||
\(989\) | 39.9926 | − | 48.7311i | 1.27169 | − | 1.54956i | ||||
\(990\) | 0.0778008 | − | 0.00865974i | 0.00247267 | − | 0.000275225i | ||||
\(991\) | −29.2459 | + | 29.2459i | −0.929026 | + | 0.929026i | −0.997643 | − | 0.0686170i | \(-0.978141\pi\) |
0.0686170 | + | 0.997643i | \(0.478141\pi\) | |||||||
\(992\) | −14.2334 | − | 10.2442i | −0.451910 | − | 0.325254i | ||||
\(993\) | −13.9835 | − | 13.9835i | −0.443752 | − | 0.443752i | ||||
\(994\) | −2.84055 | − | 2.27154i | −0.0900967 | − | 0.0720488i | ||||
\(995\) | 0.415717 | + | 0.341170i | 0.0131791 | + | 0.0108158i | ||||
\(996\) | −11.7684 | + | 12.3808i | −0.372897 | + | 0.392300i | ||||
\(997\) | 6.66202 | + | 21.9617i | 0.210988 | + | 0.695535i | 0.997006 | + | 0.0773306i | \(0.0246397\pi\) |
−0.786017 | + | 0.618205i | \(0.787860\pi\) | |||||||
\(998\) | −60.1276 | + | 12.7545i | −1.90330 | + | 0.403735i | ||||
\(999\) | 0.0319669 | + | 0.0478418i | 0.00101139 | + | 0.00151365i |
(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 | 384.2.v.a.181.19 | yes | 512 | |
128.29 | even | 32 | inner | 384.2.v.a.157.19 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.157.19 | ✓ | 512 | 128.29 | even | 32 | inner | |
384.2.v.a.181.19 | yes | 512 | 1.1 | even | 1 | trivial |