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 | 41.5 | ||
Character | \(\chi\) | \(=\) | 234.41 |
Dual form | 234.2.z.a.137.5 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||
\(3\) | 0.880877 | + | 1.49133i | 0.508575 | + | 0.861018i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 1.93052 | − | 0.517281i | 0.863354 | − | 0.231335i | 0.200142 | − | 0.979767i | \(-0.435860\pi\) |
0.663212 | + | 0.748432i | \(0.269193\pi\) | |||||||
\(6\) | −1.23685 | − | 1.21252i | −0.504940 | − | 0.495010i | ||||
\(7\) | 1.87601 | + | 1.87601i | 0.709064 | + | 0.709064i | 0.966338 | − | 0.257275i | \(-0.0828245\pi\) |
−0.257275 | + | 0.966338i | \(0.582825\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −1.44811 | + | 2.62735i | −0.482703 | + | 0.875784i | ||||
\(10\) | −1.73086 | + | 0.999310i | −0.547345 | + | 0.316010i | ||||
\(11\) | −1.12909 | − | 4.21380i | −0.340432 | − | 1.27051i | −0.897859 | − | 0.440284i | \(-0.854878\pi\) |
0.557427 | − | 0.830226i | \(-0.311789\pi\) | |||||||
\(12\) | 1.50853 | + | 0.851088i | 0.435474 | + | 0.245688i | ||||
\(13\) | 1.69527 | − | 3.18215i | 0.470182 | − | 0.882569i | ||||
\(14\) | −2.29763 | − | 1.32654i | −0.614067 | − | 0.354532i | ||||
\(15\) | 2.47199 | + | 2.42337i | 0.638264 | + | 0.625712i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.21062 | + | 2.09686i | −0.293619 | + | 0.508563i | −0.974663 | − | 0.223680i | \(-0.928193\pi\) |
0.681044 | + | 0.732243i | \(0.261526\pi\) | |||||||
\(18\) | 0.718758 | − | 2.91263i | 0.169413 | − | 0.686512i | ||||
\(19\) | 1.64767 | + | 6.14918i | 0.378001 | + | 1.41072i | 0.848910 | + | 0.528538i | \(0.177259\pi\) |
−0.470909 | + | 0.882182i | \(0.656074\pi\) | |||||||
\(20\) | 1.41324 | − | 1.41324i | 0.316010 | − | 0.316010i | ||||
\(21\) | −1.14521 | + | 4.45027i | −0.249905 | + | 0.971128i | ||||
\(22\) | 2.18123 | + | 3.77799i | 0.465039 | + | 0.805471i | ||||
\(23\) | −1.22153 | −0.254707 | −0.127353 | − | 0.991857i | \(-0.540648\pi\) | ||||
−0.127353 | + | 0.991857i | \(0.540648\pi\) | |||||||
\(24\) | −1.67740 | − | 0.431653i | −0.342398 | − | 0.0881108i | ||||
\(25\) | −0.870804 | + | 0.502759i | −0.174161 | + | 0.100552i | ||||
\(26\) | −0.813901 | + | 3.51249i | −0.159619 | + | 0.688855i | ||||
\(27\) | −5.19385 | + | 0.154769i | −0.999556 | + | 0.0297854i | ||||
\(28\) | 2.56267 | + | 0.686666i | 0.484299 | + | 0.129768i | ||||
\(29\) | −3.87626 | − | 2.23796i | −0.719803 | − | 0.415578i | 0.0948775 | − | 0.995489i | \(-0.469754\pi\) |
−0.814680 | + | 0.579911i | \(0.803087\pi\) | |||||||
\(30\) | −3.01497 | − | 1.70100i | −0.550456 | − | 0.310559i | ||||
\(31\) | 2.18253 | + | 8.14531i | 0.391994 | + | 1.46294i | 0.826840 | + | 0.562437i | \(0.190136\pi\) |
−0.434847 | + | 0.900505i | \(0.643197\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 5.28957 | − | 5.39568i | 0.920796 | − | 0.939267i | ||||
\(34\) | 0.626664 | − | 2.33874i | 0.107472 | − | 0.401091i | ||||
\(35\) | 4.59209 | + | 2.65124i | 0.776204 | + | 0.448142i | ||||
\(36\) | 0.0595757 | + | 2.99941i | 0.00992928 | + | 0.499901i | ||||
\(37\) | 2.49571 | − | 9.31410i | 0.410291 | − | 1.53123i | −0.383792 | − | 0.923420i | \(-0.625382\pi\) |
0.794083 | − | 0.607809i | \(-0.207951\pi\) | |||||||
\(38\) | −3.18305 | − | 5.51321i | −0.516359 | − | 0.894360i | ||||
\(39\) | 6.23895 | − | 0.274886i | 0.999031 | − | 0.0440170i | ||||
\(40\) | −0.999310 | + | 1.73086i | −0.158005 | + | 0.273672i | ||||
\(41\) | −4.85400 | − | 4.85400i | −0.758067 | − | 0.758067i | 0.217903 | − | 0.975970i | \(-0.430078\pi\) |
−0.975970 | + | 0.217903i | \(0.930078\pi\) | |||||||
\(42\) | −0.0456298 | − | 4.59503i | −0.00704084 | − | 0.709029i | ||||
\(43\) | − | 10.2840i | − | 1.56830i | −0.620573 | − | 0.784149i | \(-0.713100\pi\) | ||
0.620573 | − | 0.784149i | \(-0.286900\pi\) | |||||||
\(44\) | −3.08472 | − | 3.08472i | −0.465039 | − | 0.465039i | ||||
\(45\) | −1.43652 | + | 5.82123i | −0.214144 | + | 0.867778i | ||||
\(46\) | 1.17991 | − | 0.316156i | 0.173968 | − | 0.0466146i | ||||
\(47\) | 5.22728 | + | 1.40065i | 0.762477 | + | 0.204305i | 0.619046 | − | 0.785355i | \(-0.287520\pi\) |
0.143432 | + | 0.989660i | \(0.454186\pi\) | |||||||
\(48\) | 1.73197 | − | 0.0171989i | 0.249988 | − | 0.00248244i | ||||
\(49\) | 0.0387948i | 0.00554211i | ||||||||
\(50\) | 0.711008 | − | 0.711008i | 0.100552 | − | 0.100552i | ||||
\(51\) | −4.19351 | + | 0.0416426i | −0.587209 | + | 0.00583113i | ||||
\(52\) | −0.122930 | − | 3.60346i | −0.0170473 | − | 0.499709i | ||||
\(53\) | − | 0.142416i | − | 0.0195624i | −0.999952 | − | 0.00978119i | \(-0.996887\pi\) | ||
0.999952 | − | 0.00978119i | \(-0.00311350\pi\) | |||||||
\(54\) | 4.97681 | − | 1.49376i | 0.677259 | − | 0.203275i | ||||
\(55\) | −4.35944 | − | 7.55077i | −0.587827 | − | 1.01815i | ||||
\(56\) | −2.65307 | −0.354532 | ||||||||
\(57\) | −7.71905 | + | 7.87389i | −1.02241 | + | 1.04292i | ||||
\(58\) | 4.32340 | + | 1.15845i | 0.567690 | + | 0.152112i | ||||
\(59\) | −3.88086 | − | 1.03987i | −0.505245 | − | 0.135380i | −0.00281160 | − | 0.999996i | \(-0.500895\pi\) |
−0.502433 | + | 0.864616i | \(0.667562\pi\) | |||||||
\(60\) | 3.35249 | + | 0.862710i | 0.432804 | + | 0.111375i | ||||
\(61\) | −10.0548 | −1.28738 | −0.643689 | − | 0.765287i | \(-0.722597\pi\) | ||||
−0.643689 | + | 0.765287i | \(0.722597\pi\) | |||||||
\(62\) | −4.21632 | − | 7.30289i | −0.535474 | − | 0.927467i | ||||
\(63\) | −7.64559 | + | 2.21226i | −0.963254 | + | 0.278719i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.62668 | − | 7.02013i | 0.201765 | − | 0.870740i | ||||
\(66\) | −3.71283 | + | 6.58087i | −0.457018 | + | 0.810049i | ||||
\(67\) | 1.78863 | − | 1.78863i | 0.218516 | − | 0.218516i | −0.589357 | − | 0.807873i | \(-0.700619\pi\) |
0.807873 | + | 0.589357i | \(0.200619\pi\) | |||||||
\(68\) | 2.42124i | 0.293619i | ||||||||
\(69\) | −1.07602 | − | 1.82170i | −0.129538 | − | 0.219307i | ||||
\(70\) | −5.12181 | − | 1.37238i | −0.612173 | − | 0.164031i | ||||
\(71\) | 7.11876 | − | 1.90747i | 0.844841 | − | 0.226375i | 0.189663 | − | 0.981849i | \(-0.439260\pi\) |
0.655178 | + | 0.755475i | \(0.272594\pi\) | |||||||
\(72\) | −0.833850 | − | 2.88179i | −0.0982701 | − | 0.339622i | ||||
\(73\) | −4.15800 | − | 4.15800i | −0.486657 | − | 0.486657i | 0.420592 | − | 0.907250i | \(-0.361822\pi\) |
−0.907250 | + | 0.420592i | \(0.861822\pi\) | |||||||
\(74\) | 9.64266i | 1.12094i | ||||||||
\(75\) | −1.51685 | − | 0.855784i | −0.175151 | − | 0.0988174i | ||||
\(76\) | 4.50152 | + | 4.50152i | 0.516359 | + | 0.516359i | ||||
\(77\) | 5.78695 | − | 10.0233i | 0.659484 | − | 1.14226i | ||||
\(78\) | −5.95521 | + | 1.88028i | −0.674295 | + | 0.212899i | ||||
\(79\) | −0.161842 | − | 0.280319i | −0.0182087 | − | 0.0315383i | 0.856777 | − | 0.515686i | \(-0.172463\pi\) |
−0.874986 | + | 0.484148i | \(0.839130\pi\) | |||||||
\(80\) | 0.517281 | − | 1.93052i | 0.0578338 | − | 0.215839i | ||||
\(81\) | −4.80595 | − | 7.60939i | −0.533995 | − | 0.845488i | ||||
\(82\) | 5.94491 | + | 3.43230i | 0.656505 | + | 0.379034i | ||||
\(83\) | −1.01813 | + | 3.79971i | −0.111754 | + | 0.417072i | −0.999024 | − | 0.0441792i | \(-0.985933\pi\) |
0.887269 | + | 0.461252i | \(0.152599\pi\) | |||||||
\(84\) | 1.23336 | + | 4.42665i | 0.134570 | + | 0.482987i | ||||
\(85\) | −1.25246 | + | 4.67425i | −0.135849 | + | 0.506994i | ||||
\(86\) | 2.66170 | + | 9.93360i | 0.287018 | + | 1.07117i | ||||
\(87\) | −0.0769806 | − | 7.75213i | −0.00825319 | − | 0.831115i | ||||
\(88\) | 3.77799 | + | 2.18123i | 0.402735 | + | 0.232519i | ||||
\(89\) | 14.2994 | + | 3.83151i | 1.51573 | + | 0.406140i | 0.918335 | − | 0.395805i | \(-0.129534\pi\) |
0.597399 | + | 0.801944i | \(0.296201\pi\) | |||||||
\(90\) | −0.119069 | − | 5.99468i | −0.0125510 | − | 0.631895i | ||||
\(91\) | 9.15006 | − | 2.78940i | 0.959187 | − | 0.292408i | ||||
\(92\) | −1.05788 | + | 0.610766i | −0.110291 | + | 0.0636767i | ||||
\(93\) | −10.2248 | + | 10.4299i | −1.06026 | + | 1.08153i | ||||
\(94\) | −5.41168 | −0.558172 | ||||||||
\(95\) | 6.36171 | + | 11.0188i | 0.652698 | + | 1.13051i | ||||
\(96\) | −1.66850 | + | 0.464878i | −0.170290 | + | 0.0474465i | ||||
\(97\) | −6.20661 | + | 6.20661i | −0.630185 | + | 0.630185i | −0.948115 | − | 0.317929i | \(-0.897013\pi\) |
0.317929 | + | 0.948115i | \(0.397013\pi\) | |||||||
\(98\) | −0.0100408 | − | 0.0374729i | −0.00101428 | − | 0.00378533i | ||||
\(99\) | 12.7062 | + | 3.13555i | 1.27702 | + | 0.315134i | ||||
\(100\) | −0.502759 | + | 0.870804i | −0.0502759 | + | 0.0870804i | ||||
\(101\) | −1.76687 | + | 3.06031i | −0.175810 | + | 0.304512i | −0.940441 | − | 0.339956i | \(-0.889588\pi\) |
0.764631 | + | 0.644468i | \(0.222921\pi\) | |||||||
\(102\) | 4.03984 | − | 1.12558i | 0.400004 | − | 0.111449i | ||||
\(103\) | −12.1415 | − | 7.00991i | −1.19634 | − | 0.690707i | −0.236603 | − | 0.971606i | \(-0.576034\pi\) |
−0.959737 | + | 0.280899i | \(0.909367\pi\) | |||||||
\(104\) | 1.05138 | + | 3.44885i | 0.103097 | + | 0.338188i | ||||
\(105\) | 0.0911967 | + | 9.18372i | 0.00889989 | + | 0.896239i | ||||
\(106\) | 0.0368600 | + | 0.137563i | 0.00358016 | + | 0.0133613i | ||||
\(107\) | 8.57787 | − | 4.95244i | 0.829254 | − | 0.478770i | −0.0243429 | − | 0.999704i | \(-0.507749\pi\) |
0.853597 | + | 0.520933i | \(0.174416\pi\) | |||||||
\(108\) | −4.42062 | + | 2.73096i | −0.425374 | + | 0.262787i | ||||
\(109\) | 5.54653 | − | 5.54653i | 0.531261 | − | 0.531261i | −0.389687 | − | 0.920948i | \(-0.627417\pi\) |
0.920948 | + | 0.389687i | \(0.127417\pi\) | |||||||
\(110\) | 6.16518 | + | 6.16518i | 0.587827 | + | 0.587827i | ||||
\(111\) | 16.0888 | − | 4.48267i | 1.52708 | − | 0.425476i | ||||
\(112\) | 2.56267 | − | 0.686666i | 0.242150 | − | 0.0648838i | ||||
\(113\) | −11.6666 | + | 6.73569i | −1.09750 | + | 0.633640i | −0.935562 | − | 0.353161i | \(-0.885107\pi\) |
−0.161935 | + | 0.986801i | \(0.551773\pi\) | |||||||
\(114\) | 5.41812 | − | 9.60343i | 0.507453 | − | 0.899444i | ||||
\(115\) | −2.35819 | + | 0.631875i | −0.219902 | + | 0.0589226i | ||||
\(116\) | −4.47591 | −0.415578 | ||||||||
\(117\) | 5.90569 | + | 9.06216i | 0.545981 | + | 0.837797i | ||||
\(118\) | 4.01776 | 0.369865 | ||||||||
\(119\) | −6.20485 | + | 1.66258i | −0.568797 | + | 0.152409i | ||||
\(120\) | −3.46154 | + | 0.0343740i | −0.315994 | + | 0.00313790i | ||||
\(121\) | −6.95503 | + | 4.01549i | −0.632276 | + | 0.365044i | ||||
\(122\) | 9.71214 | − | 2.60236i | 0.879296 | − | 0.235607i | ||||
\(123\) | 2.96312 | − | 11.5147i | 0.267175 | − | 1.03824i | ||||
\(124\) | 5.96278 | + | 5.96278i | 0.535474 | + | 0.535474i | ||||
\(125\) | −8.48722 | + | 8.48722i | −0.759120 | + | 0.759120i | ||||
\(126\) | 6.81250 | − | 4.11571i | 0.606905 | − | 0.366656i | ||||
\(127\) | −2.38546 | + | 1.37724i | −0.211675 | + | 0.122211i | −0.602090 | − | 0.798429i | \(-0.705665\pi\) |
0.390415 | + | 0.920639i | \(0.372332\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 15.3368 | − | 9.05896i | 1.35033 | − | 0.797597i | ||||
\(130\) | 0.245691 | + | 7.20194i | 0.0215485 | + | 0.631652i | ||||
\(131\) | −0.591828 | − | 0.341692i | −0.0517083 | − | 0.0298538i | 0.473923 | − | 0.880566i | \(-0.342837\pi\) |
−0.525631 | + | 0.850713i | \(0.676171\pi\) | |||||||
\(132\) | 1.88306 | − | 7.31758i | 0.163900 | − | 0.636914i | ||||
\(133\) | −8.44487 | + | 14.6269i | −0.732263 | + | 1.26832i | ||||
\(134\) | −1.26475 | + | 2.19061i | −0.109258 | + | 0.189240i | ||||
\(135\) | −9.94676 | + | 2.98546i | −0.856081 | + | 0.256948i | ||||
\(136\) | −0.626664 | − | 2.33874i | −0.0537360 | − | 0.200545i | ||||
\(137\) | 15.9277 | − | 15.9277i | 1.36079 | − | 1.36079i | 0.487884 | − | 0.872908i | \(-0.337769\pi\) |
0.872908 | − | 0.487884i | \(-0.162231\pi\) | |||||||
\(138\) | 1.51085 | + | 1.48114i | 0.128612 | + | 0.126083i | ||||
\(139\) | 9.77449 | + | 16.9299i | 0.829062 | + | 1.43598i | 0.898775 | + | 0.438410i | \(0.144458\pi\) |
−0.0697133 | + | 0.997567i | \(0.522208\pi\) | |||||||
\(140\) | 5.30248 | 0.448142 | ||||||||
\(141\) | 2.51577 | + | 9.02938i | 0.211866 | + | 0.760411i | ||||
\(142\) | −6.38250 | + | 3.68494i | −0.535608 | + | 0.309233i | ||||
\(143\) | −15.3231 | − | 3.55060i | −1.28138 | − | 0.296916i | ||||
\(144\) | 1.55130 | + | 2.56778i | 0.129275 | + | 0.213981i | ||||
\(145\) | −8.64084 | − | 2.31531i | −0.717582 | − | 0.192276i | ||||
\(146\) | 5.09249 | + | 2.94015i | 0.421458 | + | 0.243329i | ||||
\(147\) | −0.0578557 | + | 0.0341734i | −0.00477185 | + | 0.00281858i | ||||
\(148\) | −2.49571 | − | 9.31410i | −0.205146 | − | 0.765614i | ||||
\(149\) | −1.27189 | + | 4.74676i | −0.104197 | + | 0.388869i | −0.998253 | − | 0.0590865i | \(-0.981181\pi\) |
0.894056 | + | 0.447956i | \(0.147848\pi\) | |||||||
\(150\) | 1.68666 | + | 0.434034i | 0.137715 | + | 0.0354388i | ||||
\(151\) | 1.03704 | − | 3.87030i | 0.0843934 | − | 0.314961i | −0.910805 | − | 0.412836i | \(-0.864538\pi\) |
0.995199 | + | 0.0978758i | \(0.0312048\pi\) | |||||||
\(152\) | −5.51321 | − | 3.18305i | −0.447180 | − | 0.258180i | ||||
\(153\) | −3.75607 | − | 6.21721i | −0.303660 | − | 0.502631i | ||||
\(154\) | −2.99555 | + | 11.1795i | −0.241388 | + | 0.900872i | ||||
\(155\) | 8.42683 | + | 14.5957i | 0.676859 | + | 1.17235i | ||||
\(156\) | 5.26564 | − | 3.35753i | 0.421589 | − | 0.268818i | ||||
\(157\) | 0.0374157 | − | 0.0648059i | 0.00298610 | − | 0.00517207i | −0.864528 | − | 0.502584i | \(-0.832383\pi\) |
0.867515 | + | 0.497412i | \(0.165716\pi\) | |||||||
\(158\) | 0.228879 | + | 0.228879i | 0.0182087 | + | 0.0182087i | ||||
\(159\) | 0.212389 | − | 0.125451i | 0.0168436 | − | 0.00994893i | ||||
\(160\) | 1.99862i | 0.158005i | ||||||||
\(161\) | −2.29160 | − | 2.29160i | −0.180603 | − | 0.180603i | ||||
\(162\) | 6.61165 | + | 6.10623i | 0.519460 | + | 0.479751i | ||||
\(163\) | 18.0329 | − | 4.83191i | 1.41245 | − | 0.378464i | 0.529649 | − | 0.848217i | \(-0.322324\pi\) |
0.882798 | + | 0.469752i | \(0.155657\pi\) | |||||||
\(164\) | −6.63068 | − | 1.77669i | −0.517769 | − | 0.138736i | ||||
\(165\) | 7.42054 | − | 13.1527i | 0.577688 | − | 1.02393i | ||||
\(166\) | − | 3.93375i | − | 0.305318i | ||||||
\(167\) | −12.8699 | + | 12.8699i | −0.995905 | + | 0.995905i | −0.999992 | − | 0.00408714i | \(-0.998699\pi\) |
0.00408714 | + | 0.999992i | \(0.498699\pi\) | |||||||
\(168\) | −2.33703 | − | 3.95660i | −0.180306 | − | 0.305258i | ||||
\(169\) | −7.25214 | − | 10.7892i | −0.557857 | − | 0.829937i | ||||
\(170\) | − | 4.83914i | − | 0.371145i | ||||||
\(171\) | −18.5421 | − | 4.57569i | −1.41795 | − | 0.349912i | ||||
\(172\) | −5.14201 | − | 8.90622i | −0.392075 | − | 0.679093i | ||||
\(173\) | −4.39545 | −0.334180 | −0.167090 | − | 0.985942i | \(-0.553437\pi\) | ||||
−0.167090 | + | 0.985942i | \(0.553437\pi\) | |||||||
\(174\) | 2.08076 | + | 7.46806i | 0.157742 | + | 0.566152i | ||||
\(175\) | −2.57681 | − | 0.690454i | −0.194789 | − | 0.0521934i | ||||
\(176\) | −4.21380 | − | 1.12909i | −0.317627 | − | 0.0851080i | ||||
\(177\) | −1.86777 | − | 6.70363i | −0.140390 | − | 0.503875i | ||||
\(178\) | −14.8038 | −1.10959 | ||||||||
\(179\) | 5.44340 | + | 9.42824i | 0.406859 | + | 0.704700i | 0.994536 | − | 0.104396i | \(-0.0332909\pi\) |
−0.587677 | + | 0.809095i | \(0.699958\pi\) | |||||||
\(180\) | 1.66655 | + | 5.75960i | 0.124217 | + | 0.429295i | ||||
\(181\) | 3.13809i | 0.233253i | 0.993176 | + | 0.116626i | \(0.0372080\pi\) | ||||
−0.993176 | + | 0.116626i | \(0.962792\pi\) | |||||||
\(182\) | −8.11633 | + | 5.06256i | −0.601622 | + | 0.375262i | ||||
\(183\) | −8.85700 | − | 14.9949i | −0.654728 | − | 1.10846i | ||||
\(184\) | 0.863753 | − | 0.863753i | 0.0636767 | − | 0.0636767i | ||||
\(185\) | − | 19.2720i | − | 1.41691i | ||||||
\(186\) | 7.17692 | − | 12.7209i | 0.526238 | − | 0.932739i | ||||
\(187\) | 10.2026 | + | 2.73379i | 0.746091 | + | 0.199914i | ||||
\(188\) | 5.22728 | − | 1.40065i | 0.381239 | − | 0.102153i | ||||
\(189\) | −10.0340 | − | 9.45334i | −0.729869 | − | 0.687629i | ||||
\(190\) | −8.99682 | − | 8.99682i | −0.652698 | − | 0.652698i | ||||
\(191\) | 16.6360i | 1.20374i | 0.798595 | + | 0.601869i | \(0.205577\pi\) | ||||
−0.798595 | + | 0.601869i | \(0.794423\pi\) | |||||||
\(192\) | 1.49133 | − | 0.880877i | 0.107627 | − | 0.0635718i | ||||
\(193\) | −10.8194 | − | 10.8194i | −0.778799 | − | 0.778799i | 0.200827 | − | 0.979627i | \(-0.435637\pi\) |
−0.979627 | + | 0.200827i | \(0.935637\pi\) | |||||||
\(194\) | 4.38873 | − | 7.60151i | 0.315093 | − | 0.545757i | ||||
\(195\) | 11.9022 | − | 3.75796i | 0.852335 | − | 0.269113i | ||||
\(196\) | 0.0193974 | + | 0.0335972i | 0.00138553 | + | 0.00239980i | ||||
\(197\) | −5.36725 | + | 20.0309i | −0.382401 | + | 1.42714i | 0.459822 | + | 0.888011i | \(0.347913\pi\) |
−0.842223 | + | 0.539129i | \(0.818753\pi\) | |||||||
\(198\) | −13.0848 | + | 0.259896i | −0.929894 | + | 0.0184700i | ||||
\(199\) | 5.37244 | + | 3.10178i | 0.380842 | + | 0.219879i | 0.678185 | − | 0.734892i | \(-0.262767\pi\) |
−0.297342 | + | 0.954771i | \(0.596100\pi\) | |||||||
\(200\) | 0.260247 | − | 0.971255i | 0.0184022 | − | 0.0686781i | ||||
\(201\) | 4.24299 | + | 1.09187i | 0.299277 | + | 0.0770143i | ||||
\(202\) | 0.914599 | − | 3.41333i | 0.0643510 | − | 0.240161i | ||||
\(203\) | −3.07346 | − | 11.4703i | −0.215714 | − | 0.805057i | ||||
\(204\) | −3.61086 | + | 2.13282i | −0.252811 | + | 0.149327i | ||||
\(205\) | −11.8816 | − | 6.85985i | −0.829848 | − | 0.479113i | ||||
\(206\) | 13.5421 | + | 3.62860i | 0.943524 | + | 0.252816i | ||||
\(207\) | 1.76891 | − | 3.20939i | 0.122948 | − | 0.223068i | ||||
\(208\) | −1.90819 | − | 3.05922i | −0.132309 | − | 0.212119i | ||||
\(209\) | 24.0511 | − | 13.8859i | 1.66365 | − | 0.960508i | ||||
\(210\) | −2.46501 | − | 8.84719i | −0.170102 | − | 0.610514i | ||||
\(211\) | −8.45099 | −0.581790 | −0.290895 | − | 0.956755i | \(-0.593953\pi\) | ||||
−0.290895 | + | 0.956755i | \(0.593953\pi\) | |||||||
\(212\) | −0.0712081 | − | 0.123336i | −0.00489059 | − | 0.00847076i | ||||
\(213\) | 9.11541 | + | 8.93615i | 0.624577 | + | 0.612295i | ||||
\(214\) | −7.00381 | + | 7.00381i | −0.478770 | + | 0.478770i | ||||
\(215\) | −5.31973 | − | 19.8535i | −0.362802 | − | 1.35400i | ||||
\(216\) | 3.56317 | − | 3.78204i | 0.242443 | − | 0.257335i | ||||
\(217\) | −11.1862 | + | 19.3751i | −0.759370 | + | 1.31527i | ||||
\(218\) | −3.92199 | + | 6.79308i | −0.265630 | + | 0.460086i | ||||
\(219\) | 2.53825 | − | 9.86363i | 0.171519 | − | 0.666522i | ||||
\(220\) | −7.55077 | − | 4.35944i | −0.509073 | − | 0.293913i | ||||
\(221\) | 4.62019 | + | 7.40711i | 0.310787 | + | 0.498256i | ||||
\(222\) | −14.3804 | + | 8.49401i | −0.965147 | + | 0.570080i | ||||
\(223\) | 2.84796 | + | 10.6287i | 0.190713 | + | 0.711752i | 0.993335 | + | 0.115264i | \(0.0367713\pi\) |
−0.802621 | + | 0.596489i | \(0.796562\pi\) | |||||||
\(224\) | −2.29763 | + | 1.32654i | −0.153517 | + | 0.0886329i | ||||
\(225\) | −0.0599044 | − | 3.01596i | −0.00399362 | − | 0.201064i | ||||
\(226\) | 9.52570 | − | 9.52570i | 0.633640 | − | 0.633640i | ||||
\(227\) | 5.59976 | + | 5.59976i | 0.371669 | + | 0.371669i | 0.868085 | − | 0.496416i | \(-0.165351\pi\) |
−0.496416 | + | 0.868085i | \(0.665351\pi\) | |||||||
\(228\) | −2.74795 | + | 10.6785i | −0.181987 | + | 0.707202i | ||||
\(229\) | −1.40853 | + | 0.377414i | −0.0930780 | + | 0.0249402i | −0.305057 | − | 0.952334i | \(-0.598676\pi\) |
0.211979 | + | 0.977274i | \(0.432009\pi\) | |||||||
\(230\) | 2.11429 | − | 1.22069i | 0.139412 | − | 0.0804898i | ||||
\(231\) | 20.0456 | − | 0.199058i | 1.31890 | − | 0.0130970i | ||||
\(232\) | 4.32340 | − | 1.15845i | 0.283845 | − | 0.0760561i | ||||
\(233\) | −4.39305 | −0.287799 | −0.143899 | − | 0.989592i | \(-0.545964\pi\) | ||||
−0.143899 | + | 0.989592i | \(0.545964\pi\) | |||||||
\(234\) | −8.04992 | − | 7.22487i | −0.526240 | − | 0.472305i | ||||
\(235\) | 10.8159 | 0.705551 | ||||||||
\(236\) | −3.88086 | + | 1.03987i | −0.252622 | + | 0.0676899i | ||||
\(237\) | 0.275484 | − | 0.488286i | 0.0178946 | − | 0.0317176i | ||||
\(238\) | 5.56311 | − | 3.21187i | 0.360603 | − | 0.208194i | ||||
\(239\) | −8.98867 | + | 2.40851i | −0.581429 | + | 0.155793i | −0.537533 | − | 0.843243i | \(-0.680644\pi\) |
−0.0438958 | + | 0.999036i | \(0.513977\pi\) | |||||||
\(240\) | 3.33470 | − | 0.929115i | 0.215254 | − | 0.0599741i | ||||
\(241\) | 1.17890 | + | 1.17890i | 0.0759395 | + | 0.0759395i | 0.744056 | − | 0.668117i | \(-0.232899\pi\) |
−0.668117 | + | 0.744056i | \(0.732899\pi\) | |||||||
\(242\) | 5.67876 | − | 5.67876i | 0.365044 | − | 0.365044i | ||||
\(243\) | 7.11463 | − | 13.8702i | 0.456404 | − | 0.889773i | ||||
\(244\) | −8.70767 | + | 5.02738i | −0.557451 | + | 0.321845i | ||||
\(245\) | 0.0200678 | + | 0.0748940i | 0.00128208 | + | 0.00478480i | ||||
\(246\) | 0.118063 | + | 11.8892i | 0.00752743 | + | 0.758030i | ||||
\(247\) | 22.3609 | + | 5.18138i | 1.42279 | + | 0.329683i | ||||
\(248\) | −7.30289 | − | 4.21632i | −0.463734 | − | 0.267737i | ||||
\(249\) | −6.56346 | + | 1.82872i | −0.415942 | + | 0.115890i | ||||
\(250\) | 6.00137 | − | 10.3947i | 0.379560 | − | 0.657418i | ||||
\(251\) | −3.88661 | + | 6.73180i | −0.245321 | + | 0.424908i | −0.962222 | − | 0.272267i | \(-0.912227\pi\) |
0.716901 | + | 0.697175i | \(0.245560\pi\) | |||||||
\(252\) | −5.51514 | + | 5.73867i | −0.347421 | + | 0.361502i | ||||
\(253\) | 1.37921 | + | 5.14729i | 0.0867104 | + | 0.323608i | ||||
\(254\) | 1.94772 | − | 1.94772i | 0.122211 | − | 0.122211i | ||||
\(255\) | −8.07410 | + | 2.24961i | −0.505620 | + | 0.140876i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 25.7870 | 1.60855 | 0.804274 | − | 0.594259i | \(-0.202555\pi\) | ||||
0.804274 | + | 0.594259i | \(0.202555\pi\) | |||||||
\(258\) | −12.4696 | + | 12.7197i | −0.776324 | + | 0.791897i | ||||
\(259\) | 22.1553 | − | 12.7913i | 1.37666 | − | 0.794816i | ||||
\(260\) | −2.10132 | − | 6.89295i | −0.130318 | − | 0.427483i | ||||
\(261\) | 11.4931 | − | 6.94348i | 0.711408 | − | 0.429790i | ||||
\(262\) | 0.660098 | + | 0.176873i | 0.0407810 | + | 0.0109272i | ||||
\(263\) | −23.1774 | − | 13.3815i | −1.42918 | − | 0.825136i | −0.432122 | − | 0.901815i | \(-0.642235\pi\) |
−0.997056 | + | 0.0766793i | \(0.975568\pi\) | |||||||
\(264\) | 0.0750292 | + | 7.55561i | 0.00461773 | + | 0.465016i | ||||
\(265\) | −0.0736692 | − | 0.274937i | −0.00452546 | − | 0.0168893i | ||||
\(266\) | 4.37139 | − | 16.3142i | 0.268027 | − | 1.00029i | ||||
\(267\) | 6.88198 | + | 24.7002i | 0.421170 | + | 1.51163i | ||||
\(268\) | 0.654683 | − | 2.44331i | 0.0399911 | − | 0.149249i | ||||
\(269\) | 17.6997 | + | 10.2189i | 1.07917 | + | 0.623058i | 0.930672 | − | 0.365855i | \(-0.119223\pi\) |
0.148496 | + | 0.988913i | \(0.452557\pi\) | |||||||
\(270\) | 8.83514 | − | 5.45815i | 0.537689 | − | 0.332172i | ||||
\(271\) | −5.01971 | + | 18.7338i | −0.304926 | + | 1.13800i | 0.628083 | + | 0.778146i | \(0.283840\pi\) |
−0.933009 | + | 0.359853i | \(0.882827\pi\) | |||||||
\(272\) | 1.21062 | + | 2.09686i | 0.0734047 | + | 0.127141i | ||||
\(273\) | 12.2200 | + | 11.1886i | 0.739587 | + | 0.677165i | ||||
\(274\) | −11.2626 | + | 19.5073i | −0.680396 | + | 1.17848i | ||||
\(275\) | 3.10174 | + | 3.10174i | 0.187042 | + | 0.187042i | ||||
\(276\) | −1.84271 | − | 1.03963i | −0.110918 | − | 0.0625784i | ||||
\(277\) | − | 10.6829i | − | 0.641875i | −0.947100 | − | 0.320937i | \(-0.896002\pi\) | ||
0.947100 | − | 0.320937i | \(-0.103998\pi\) | |||||||
\(278\) | −13.8232 | − | 13.8232i | −0.829062 | − | 0.829062i | ||||
\(279\) | −24.5611 | − | 6.06104i | −1.47044 | − | 0.362865i | ||||
\(280\) | −5.12181 | + | 1.37238i | −0.306087 | + | 0.0820156i | ||||
\(281\) | −21.9870 | − | 5.89140i | −1.31163 | − | 0.351451i | −0.465797 | − | 0.884892i | \(-0.654232\pi\) |
−0.845838 | + | 0.533440i | \(0.820899\pi\) | |||||||
\(282\) | −4.76703 | − | 8.07058i | −0.283872 | − | 0.480596i | ||||
\(283\) | − | 0.508663i | − | 0.0302369i | −0.999886 | − | 0.0151184i | \(-0.995187\pi\) | ||
0.999886 | − | 0.0151184i | \(-0.00481253\pi\) | |||||||
\(284\) | 5.21129 | − | 5.21129i | 0.309233 | − | 0.309233i | ||||
\(285\) | −10.8288 | + | 19.1936i | −0.641440 | + | 1.13693i | ||||
\(286\) | 15.7199 | − | 0.536277i | 0.929537 | − | 0.0317107i | ||||
\(287\) | − | 18.2123i | − | 1.07504i | ||||||
\(288\) | −2.16303 | − | 2.07878i | −0.127458 | − | 0.122493i | ||||
\(289\) | 5.56879 | + | 9.64543i | 0.327576 | + | 0.567378i | ||||
\(290\) | 8.94565 | 0.525307 | ||||||||
\(291\) | −14.7233 | − | 3.78882i | −0.863097 | − | 0.222104i | ||||
\(292\) | −5.67994 | − | 1.52193i | −0.332393 | − | 0.0890645i | ||||
\(293\) | −20.7377 | − | 5.55666i | −1.21151 | − | 0.324624i | −0.404157 | − | 0.914690i | \(-0.632435\pi\) |
−0.807355 | + | 0.590066i | \(0.799102\pi\) | |||||||
\(294\) | 0.0470395 | − | 0.0479831i | 0.00274340 | − | 0.00279843i | ||||
\(295\) | −8.02997 | −0.467523 | ||||||||
\(296\) | 4.82133 | + | 8.35079i | 0.280234 | + | 0.485380i | ||||
\(297\) | 6.51646 | + | 21.7111i | 0.378124 | + | 1.25981i | ||||
\(298\) | − | 4.91420i | − | 0.284672i | ||||||
\(299\) | −2.07082 | + | 3.88709i | −0.119759 | + | 0.224797i | ||||
\(300\) | −1.74152 | + | 0.0172938i | −0.100547 | + | 0.000998455i | ||||
\(301\) | 19.2929 | − | 19.2929i | 1.11202 | − | 1.11202i | ||||
\(302\) | 4.00683i | 0.230567i | ||||||||
\(303\) | −6.12032 | + | 0.0607763i | −0.351603 | + | 0.00349151i | ||||
\(304\) | 6.14918 | + | 1.64767i | 0.352680 | + | 0.0945003i | ||||
\(305\) | −19.4109 | + | 5.20113i | −1.11146 | + | 0.297816i | ||||
\(306\) | 5.23722 | + | 5.03322i | 0.299392 | + | 0.287730i | ||||
\(307\) | −16.9627 | − | 16.9627i | −0.968112 | − | 0.968112i | 0.0313952 | − | 0.999507i | \(-0.490005\pi\) |
−0.999507 | + | 0.0313952i | \(0.990005\pi\) | |||||||
\(308\) | − | 11.5739i | − | 0.659484i | ||||||
\(309\) | −0.241125 | − | 24.2819i | −0.0137171 | − | 1.38135i | ||||
\(310\) | −11.9173 | − | 11.9173i | −0.676859 | − | 0.676859i | ||||
\(311\) | −16.5307 | + | 28.6320i | −0.937370 | + | 1.62357i | −0.167017 | + | 0.985954i | \(0.553413\pi\) |
−0.770353 | + | 0.637618i | \(0.779920\pi\) | |||||||
\(312\) | −4.21723 | + | 4.60597i | −0.238753 | + | 0.260762i | ||||
\(313\) | 7.32210 | + | 12.6823i | 0.413870 | + | 0.716843i | 0.995309 | − | 0.0967464i | \(-0.0308436\pi\) |
−0.581439 | + | 0.813590i | \(0.697510\pi\) | |||||||
\(314\) | −0.0193678 | + | 0.0722816i | −0.00109299 | + | 0.00407908i | ||||
\(315\) | −13.6156 | + | 8.22574i | −0.767152 | + | 0.463468i | ||||
\(316\) | −0.280319 | − | 0.161842i | −0.0157692 | − | 0.00910433i | ||||
\(317\) | −0.361436 | + | 1.34890i | −0.0203003 | + | 0.0757616i | −0.975333 | − | 0.220739i | \(-0.929153\pi\) |
0.955033 | + | 0.296501i | \(0.0958197\pi\) | |||||||
\(318\) | −0.172683 | + | 0.176147i | −0.00968358 | + | 0.00987783i | ||||
\(319\) | −5.05369 | + | 18.8606i | −0.282952 | + | 1.05599i | ||||
\(320\) | −0.517281 | − | 1.93052i | −0.0289169 | − | 0.107919i | ||||
\(321\) | 14.9418 | + | 8.42992i | 0.833968 | + | 0.470512i | ||||
\(322\) | 2.80663 | + | 1.62041i | 0.156407 | + | 0.0903017i | ||||
\(323\) | −14.8887 | − | 3.98941i | −0.828427 | − | 0.221976i | ||||
\(324\) | −7.96677 | − | 4.18695i | −0.442598 | − | 0.232608i | ||||
\(325\) | 0.123608 | + | 3.62334i | 0.00685656 | + | 0.200987i | ||||
\(326\) | −16.1679 | + | 9.33453i | −0.895456 | + | 0.516992i | ||||
\(327\) | 13.1575 | + | 3.38587i | 0.727611 | + | 0.187239i | ||||
\(328\) | 6.86459 | 0.379034 | ||||||||
\(329\) | 7.17879 | + | 12.4340i | 0.395780 | + | 0.685510i | ||||
\(330\) | −3.76353 | + | 14.6251i | −0.207176 | + | 0.805083i | ||||
\(331\) | 12.3912 | − | 12.3912i | 0.681081 | − | 0.681081i | −0.279163 | − | 0.960244i | \(-0.590057\pi\) |
0.960244 | + | 0.279163i | \(0.0900569\pi\) | |||||||
\(332\) | 1.01813 | + | 3.79971i | 0.0558771 | + | 0.208536i | ||||
\(333\) | 20.8574 | + | 20.0449i | 1.14298 | + | 1.09846i | ||||
\(334\) | 9.10041 | − | 15.7624i | 0.497952 | − | 0.862479i | ||||
\(335\) | 2.52776 | − | 4.37820i | 0.138106 | − | 0.239207i | ||||
\(336\) | 3.28144 | + | 3.21691i | 0.179017 | + | 0.175497i | ||||
\(337\) | 22.3033 | + | 12.8768i | 1.21494 | + | 0.701445i | 0.963831 | − | 0.266514i | \(-0.0858719\pi\) |
0.251108 | + | 0.967959i | \(0.419205\pi\) | |||||||
\(338\) | 9.79748 | + | 8.54456i | 0.532912 | + | 0.464763i | ||||
\(339\) | −20.3219 | − | 11.4653i | −1.10373 | − | 0.622711i | ||||
\(340\) | 1.25246 | + | 4.67425i | 0.0679243 | + | 0.253497i | ||||
\(341\) | 31.8585 | − | 18.3935i | 1.72523 | − | 0.996064i | ||||
\(342\) | 19.0945 | − | 0.379265i | 1.03251 | − | 0.0205083i | ||||
\(343\) | 13.0593 | − | 13.0593i | 0.705134 | − | 0.705134i | ||||
\(344\) | 7.27190 | + | 7.27190i | 0.392075 | + | 0.392075i | ||||
\(345\) | −3.01961 | − | 2.96023i | −0.162570 | − | 0.159373i | ||||
\(346\) | 4.24568 | − | 1.13763i | 0.228249 | − | 0.0611592i | ||||
\(347\) | 19.4800 | − | 11.2468i | 1.04574 | − | 0.603758i | 0.124286 | − | 0.992246i | \(-0.460336\pi\) |
0.921453 | + | 0.388489i | \(0.127003\pi\) | |||||||
\(348\) | −3.94273 | − | 6.67505i | −0.211353 | − | 0.357820i | ||||
\(349\) | 16.0726 | − | 4.30665i | 0.860348 | − | 0.230530i | 0.198439 | − | 0.980113i | \(-0.436413\pi\) |
0.661910 | + | 0.749584i | \(0.269746\pi\) | |||||||
\(350\) | 2.66771 | 0.142595 | ||||||||
\(351\) | −8.31246 | + | 16.7900i | −0.443686 | + | 0.896182i | ||||
\(352\) | 4.36245 | 0.232519 | ||||||||
\(353\) | 32.4783 | − | 8.70255i | 1.72865 | − | 0.463190i | 0.748777 | − | 0.662822i | \(-0.230641\pi\) |
0.979871 | + | 0.199632i | \(0.0639748\pi\) | |||||||
\(354\) | 3.53915 | + | 5.99179i | 0.188104 | + | 0.318460i | ||||
\(355\) | 12.7562 | − | 7.36480i | 0.677029 | − | 0.390883i | ||||
\(356\) | 14.2994 | − | 3.83151i | 0.757867 | − | 0.203070i | ||||
\(357\) | −7.94517 | − | 7.78892i | −0.420503 | − | 0.412233i | ||||
\(358\) | −7.69812 | − | 7.69812i | −0.406859 | − | 0.406859i | ||||
\(359\) | −18.7010 | + | 18.7010i | −0.987001 | + | 0.987001i | −0.999917 | − | 0.0129158i | \(-0.995889\pi\) |
0.0129158 | + | 0.999917i | \(0.495889\pi\) | |||||||
\(360\) | −3.10046 | − | 5.13201i | −0.163408 | − | 0.270481i | ||||
\(361\) | −18.6432 | + | 10.7636i | −0.981220 | + | 0.566507i | ||||
\(362\) | −0.812199 | − | 3.03117i | −0.0426882 | − | 0.159315i | ||||
\(363\) | −12.1149 | − | 6.83507i | −0.635869 | − | 0.358748i | ||||
\(364\) | 6.52948 | − | 6.99072i | 0.342238 | − | 0.366413i | ||||
\(365\) | −10.1780 | − | 5.87625i | −0.532739 | − | 0.307577i | ||||
\(366\) | 12.4362 | + | 12.1916i | 0.650049 | + | 0.637266i | ||||
\(367\) | −17.5180 | + | 30.3421i | −0.914432 | + | 1.58384i | −0.106702 | + | 0.994291i | \(0.534029\pi\) |
−0.807730 | + | 0.589552i | \(0.799304\pi\) | |||||||
\(368\) | −0.610766 | + | 1.05788i | −0.0318384 | + | 0.0551457i | ||||
\(369\) | 19.7823 | − | 5.72404i | 1.02982 | − | 0.297981i | ||||
\(370\) | 4.98797 | + | 18.6153i | 0.259312 | + | 0.967766i | ||||
\(371\) | 0.267174 | − | 0.267174i | 0.0138710 | − | 0.0138710i | ||||
\(372\) | −3.63998 | + | 14.1449i | −0.188724 | + | 0.733381i | ||||
\(373\) | −3.17079 | − | 5.49197i | −0.164177 | − | 0.284364i | 0.772185 | − | 0.635397i | \(-0.219164\pi\) |
−0.936363 | + | 0.351034i | \(0.885830\pi\) | |||||||
\(374\) | −10.5625 | −0.546176 | ||||||||
\(375\) | −20.1334 | − | 5.18102i | −1.03969 | − | 0.267547i | ||||
\(376\) | −4.68665 | + | 2.70584i | −0.241696 | + | 0.139543i | ||||
\(377\) | −13.6928 | + | 8.54089i | −0.705215 | + | 0.439878i | ||||
\(378\) | 12.1388 | + | 6.53422i | 0.624354 | + | 0.336084i | ||||
\(379\) | −33.0310 | − | 8.85063i | −1.69669 | − | 0.454626i | −0.724587 | − | 0.689184i | \(-0.757969\pi\) |
−0.972102 | + | 0.234557i | \(0.924636\pi\) | |||||||
\(380\) | 11.0188 | + | 6.36171i | 0.565253 | + | 0.326349i | ||||
\(381\) | −4.15522 | − | 2.34431i | −0.212878 | − | 0.120103i | ||||
\(382\) | −4.30571 | − | 16.0691i | −0.220299 | − | 0.822168i | ||||
\(383\) | 4.33535 | − | 16.1798i | 0.221526 | − | 0.826747i | −0.762240 | − | 0.647294i | \(-0.775901\pi\) |
0.983767 | − | 0.179453i | \(-0.0574327\pi\) | |||||||
\(384\) | −1.21252 | + | 1.23685i | −0.0618763 | + | 0.0631175i | ||||
\(385\) | 5.98696 | − | 22.3436i | 0.305124 | − | 1.13874i | ||||
\(386\) | 13.2510 | + | 7.65049i | 0.674460 | + | 0.389400i | ||||
\(387\) | 27.0197 | + | 14.8924i | 1.37349 | + | 0.757023i | ||||
\(388\) | −2.27178 | + | 8.47838i | −0.115332 | + | 0.430425i | ||||
\(389\) | −5.63377 | − | 9.75798i | −0.285644 | − | 0.494749i | 0.687121 | − | 0.726543i | \(-0.258874\pi\) |
−0.972765 | + | 0.231793i | \(0.925541\pi\) | |||||||
\(390\) | −10.5240 | + | 6.71043i | −0.532904 | + | 0.339796i | ||||
\(391\) | 1.47881 | − | 2.56138i | 0.0747867 | − | 0.129534i | ||||
\(392\) | −0.0274320 | − | 0.0274320i | −0.00138553 | − | 0.00138553i | ||||
\(393\) | −0.0117534 | − | 1.18360i | −0.000592882 | − | 0.0597046i | ||||
\(394\) | − | 20.7375i | − | 1.04474i | ||||||
\(395\) | −0.457443 | − | 0.457443i | −0.0230164 | − | 0.0230164i | ||||
\(396\) | 12.5717 | − | 3.63763i | 0.631749 | − | 0.182798i | ||||
\(397\) | 5.64532 | − | 1.51266i | 0.283331 | − | 0.0759182i | −0.114355 | − | 0.993440i | \(-0.536480\pi\) |
0.397686 | + | 0.917522i | \(0.369813\pi\) | |||||||
\(398\) | −5.99218 | − | 1.60560i | −0.300361 | − | 0.0804814i | ||||
\(399\) | −29.2524 | + | 0.290484i | −1.46445 | + | 0.0145424i | ||||
\(400\) | 1.00552i | 0.0502759i | ||||||||
\(401\) | 19.6086 | − | 19.6086i | 0.979208 | − | 0.979208i | −0.0205800 | − | 0.999788i | \(-0.506551\pi\) |
0.999788 | + | 0.0205800i | \(0.00655127\pi\) | |||||||
\(402\) | −4.38101 | + | 0.0435046i | −0.218505 | + | 0.00216981i | ||||
\(403\) | 29.6196 | + | 6.86334i | 1.47546 | + | 0.341887i | ||||
\(404\) | 3.53374i | 0.175810i | ||||||||
\(405\) | −13.2142 | − | 12.2040i | −0.656618 | − | 0.606424i | ||||
\(406\) | 5.93746 | + | 10.2840i | 0.294671 | + | 0.510386i | ||||
\(407\) | −42.0657 | −2.08512 | ||||||||
\(408\) | 2.93581 | − | 2.99470i | 0.145344 | − | 0.148260i | ||||
\(409\) | −3.94653 | − | 1.05747i | −0.195144 | − | 0.0522885i | 0.159923 | − | 0.987129i | \(-0.448875\pi\) |
−0.355067 | + | 0.934841i | \(0.615542\pi\) | |||||||
\(410\) | 13.2522 | + | 3.55092i | 0.654481 | + | 0.175368i | ||||
\(411\) | 37.7837 | + | 9.72303i | 1.86373 | + | 0.479602i | ||||
\(412\) | −14.0198 | −0.690707 | ||||||||
\(413\) | −5.32970 | − | 9.23132i | −0.262258 | − | 0.454243i | ||||
\(414\) | −0.877986 | + | 3.55786i | −0.0431507 | + | 0.174859i | ||||
\(415\) | 7.86207i | 0.385934i | ||||||||
\(416\) | 2.63495 | + | 2.46110i | 0.129189 | + | 0.120665i | ||||
\(417\) | −16.6379 | + | 29.4901i | −0.814762 | + | 1.44414i | ||||
\(418\) | −19.6376 | + | 19.6376i | −0.960508 | + | 0.960508i | ||||
\(419\) | 18.4321i | 0.900466i | 0.892911 | + | 0.450233i | \(0.148659\pi\) | ||||
−0.892911 | + | 0.450233i | \(0.851341\pi\) | |||||||
\(420\) | 4.67084 | + | 7.90774i | 0.227914 | + | 0.385858i | ||||
\(421\) | 31.1461 | + | 8.34557i | 1.51797 | + | 0.406738i | 0.919072 | − | 0.394090i | \(-0.128940\pi\) |
0.598895 | + | 0.800828i | \(0.295607\pi\) | |||||||
\(422\) | 8.16303 | − | 2.18728i | 0.397370 | − | 0.106475i | ||||
\(423\) | −11.2497 | + | 11.7056i | −0.546978 | + | 0.569147i | ||||
\(424\) | 0.100703 | + | 0.100703i | 0.00489059 | + | 0.00489059i | ||||
\(425\) | − | 2.43460i | − | 0.118095i | ||||||
\(426\) | −11.1177 | − | 6.27242i | −0.538652 | − | 0.303900i | ||||
\(427\) | −18.8628 | − | 18.8628i | −0.912833 | − | 0.912833i | ||||
\(428\) | 4.95244 | − | 8.57787i | 0.239385 | − | 0.414627i | ||||
\(429\) | −8.20262 | − | 25.9793i | −0.396026 | − | 1.25429i | ||||
\(430\) | 10.2769 | + | 17.8002i | 0.495597 | + | 0.858400i | ||||
\(431\) | 3.39947 | − | 12.6870i | 0.163747 | − | 0.611112i | −0.834450 | − | 0.551084i | \(-0.814214\pi\) |
0.998197 | − | 0.0600279i | \(-0.0191190\pi\) | |||||||
\(432\) | −2.46289 | + | 4.57539i | −0.118496 | + | 0.220133i | ||||
\(433\) | 4.72346 | + | 2.72709i | 0.226995 | + | 0.131056i | 0.609185 | − | 0.793028i | \(-0.291497\pi\) |
−0.382190 | + | 0.924084i | \(0.624830\pi\) | |||||||
\(434\) | 5.79041 | − | 21.6101i | 0.277949 | − | 1.03732i | ||||
\(435\) | −4.15864 | − | 14.9258i | −0.199392 | − | 0.715638i | ||||
\(436\) | 2.03017 | − | 7.57670i | 0.0972275 | − | 0.362858i | ||||
\(437\) | −2.01268 | − | 7.51142i | −0.0962795 | − | 0.359320i | ||||
\(438\) | 0.101135 | + | 10.1845i | 0.00483239 | + | 0.486633i | ||||
\(439\) | 2.61857 | + | 1.51183i | 0.124978 | + | 0.0721559i | 0.561186 | − | 0.827690i | \(-0.310345\pi\) |
−0.436208 | + | 0.899846i | \(0.643679\pi\) | |||||||
\(440\) | 8.42179 | + | 2.25661i | 0.401493 | + | 0.107580i | ||||
\(441\) | −0.101927 | − | 0.0561791i | −0.00485369 | − | 0.00267519i | ||||
\(442\) | −6.37986 | − | 5.95893i | −0.303459 | − | 0.283437i | ||||
\(443\) | −3.45678 | + | 1.99577i | −0.164237 | + | 0.0948221i | −0.579865 | − | 0.814712i | \(-0.696895\pi\) |
0.415629 | + | 0.909534i | \(0.363562\pi\) | |||||||
\(444\) | 11.6920 | − | 11.9265i | 0.554876 | − | 0.566006i | ||||
\(445\) | 29.5872 | 1.40257 | ||||||||
\(446\) | −5.50183 | − | 9.52946i | −0.260519 | − | 0.451233i | ||||
\(447\) | −8.19934 | + | 2.28451i | −0.387816 | + | 0.108054i | ||||
\(448\) | 1.87601 | − | 1.87601i | 0.0886329 | − | 0.0886329i | ||||
\(449\) | 3.46480 | + | 12.9308i | 0.163514 | + | 0.610242i | 0.998225 | + | 0.0595540i | \(0.0189679\pi\) |
−0.834711 | + | 0.550688i | \(0.814365\pi\) | |||||||
\(450\) | 0.838450 | + | 2.89769i | 0.0395249 | + | 0.136598i | ||||
\(451\) | −14.9732 | + | 25.9344i | −0.705061 | + | 1.22120i | ||||
\(452\) | −6.73569 | + | 11.6666i | −0.316820 | + | 0.548749i | ||||
\(453\) | 6.68539 | − | 1.86269i | 0.314107 | − | 0.0875167i | ||||
\(454\) | −6.85828 | − | 3.95963i | −0.321875 | − | 0.185835i | ||||
\(455\) | 16.2215 | − | 10.1181i | 0.760474 | − | 0.474346i | ||||
\(456\) | −0.109490 | − | 11.0259i | −0.00512733 | − | 0.516334i | ||||
\(457\) | 0.346703 | + | 1.29391i | 0.0162181 | + | 0.0605267i | 0.973561 | − | 0.228429i | \(-0.0733588\pi\) |
−0.957343 | + | 0.288955i | \(0.906692\pi\) | |||||||
\(458\) | 1.26285 | − | 0.729107i | 0.0590091 | − | 0.0340689i | ||||
\(459\) | 5.96325 | − | 11.0781i | 0.278341 | − | 0.517082i | ||||
\(460\) | −1.72631 | + | 1.72631i | −0.0804898 | + | 0.0804898i | ||||
\(461\) | 3.58563 | + | 3.58563i | 0.166999 | + | 0.166999i | 0.785659 | − | 0.618660i | \(-0.212324\pi\) |
−0.618660 | + | 0.785659i | \(0.712324\pi\) | |||||||
\(462\) | −19.3110 | + | 5.38046i | −0.898431 | + | 0.250321i | ||||
\(463\) | 7.47439 | − | 2.00276i | 0.347364 | − | 0.0930760i | −0.0809185 | − | 0.996721i | \(-0.525785\pi\) |
0.428283 | + | 0.903645i | \(0.359119\pi\) | |||||||
\(464\) | −3.87626 | + | 2.23796i | −0.179951 | + | 0.103895i | ||||
\(465\) | −14.3439 | + | 25.4242i | −0.665185 | + | 1.17902i | ||||
\(466\) | 4.24336 | − | 1.13701i | 0.196570 | − | 0.0526708i | ||||
\(467\) | −10.4397 | −0.483093 | −0.241546 | − | 0.970389i | \(-0.577655\pi\) | ||||
−0.241546 | + | 0.970389i | \(0.577655\pi\) | |||||||
\(468\) | 9.64556 | + | 4.89522i | 0.445866 | + | 0.226282i | ||||
\(469\) | 6.71095 | 0.309883 | ||||||||
\(470\) | −10.4474 | + | 2.79936i | −0.481900 | + | 0.129125i | ||||
\(471\) | 0.129605 | − | 0.00128701i | 0.00597190 | − | 5.93025e-5i | ||||
\(472\) | 3.47948 | − | 2.00888i | 0.160156 | − | 0.0924662i | ||||
\(473\) | −43.3348 | + | 11.6115i | −1.99254 | + | 0.533899i | ||||
\(474\) | −0.139719 | + | 0.542948i | −0.00641751 | + | 0.0249384i | ||||
\(475\) | −4.52635 | − | 4.52635i | −0.207683 | − | 0.207683i | ||||
\(476\) | −4.54226 | + | 4.54226i | −0.208194 | + | 0.208194i | ||||
\(477\) | 0.374177 | + | 0.206234i | 0.0171324 | + | 0.00944282i | ||||
\(478\) | 8.05902 | − | 4.65288i | 0.368611 | − | 0.212818i | ||||
\(479\) | −1.71493 | − | 6.40022i | −0.0783573 | − | 0.292433i | 0.915616 | − | 0.402053i | \(-0.131703\pi\) |
−0.993974 | + | 0.109620i | \(0.965037\pi\) | |||||||
\(480\) | −2.98060 | + | 1.76054i | −0.136045 | + | 0.0803573i | ||||
\(481\) | −25.4080 | − | 23.7316i | −1.15850 | − | 1.08207i | ||||
\(482\) | −1.44385 | − | 0.833607i | −0.0657655 | − | 0.0379697i | ||||
\(483\) | 1.39891 | − | 5.43614i | 0.0636524 | − | 0.247353i | ||||
\(484\) | −4.01549 | + | 6.95503i | −0.182522 | + | 0.316138i | ||||
\(485\) | −8.77141 | + | 15.1925i | −0.398289 | + | 0.689857i | ||||
\(486\) | −3.28234 | + | 15.2390i | −0.148890 | + | 0.691254i | ||||
\(487\) | −4.31888 | − | 16.1183i | −0.195707 | − | 0.730390i | −0.992083 | − | 0.125587i | \(-0.959919\pi\) |
0.796375 | − | 0.604803i | \(-0.206748\pi\) | |||||||
\(488\) | 7.10978 | − | 7.10978i | 0.321845 | − | 0.321845i | ||||
\(489\) | 23.0907 | + | 22.6367i | 1.04420 | + | 1.02367i | ||||
\(490\) | −0.0387680 | − | 0.0671481i | −0.00175136 | − | 0.00303344i | ||||
\(491\) | −15.3717 | −0.693715 | −0.346858 | − | 0.937918i | \(-0.612751\pi\) | ||||
−0.346858 | + | 0.937918i | \(0.612751\pi\) | |||||||
\(492\) | −3.19120 | − | 11.4536i | −0.143870 | − | 0.516366i | ||||
\(493\) | 9.38535 | − | 5.41864i | 0.422695 | − | 0.244043i | ||||
\(494\) | −22.9400 | + | 0.782586i | −1.03212 | + | 0.0352102i | ||||
\(495\) | 26.1515 | − | 0.519433i | 1.17542 | − | 0.0233468i | ||||
\(496\) | 8.14531 | + | 2.18253i | 0.365735 | + | 0.0979985i | ||||
\(497\) | 16.9332 | + | 9.77642i | 0.759560 | + | 0.438532i | ||||
\(498\) | 5.86650 | − | 3.46515i | 0.262884 | − | 0.155277i | ||||
\(499\) | 5.78088 | + | 21.5745i | 0.258788 | + | 0.965808i | 0.965944 | + | 0.258751i | \(0.0833109\pi\) |
−0.707157 | + | 0.707057i | \(0.750022\pi\) | |||||||
\(500\) | −3.10654 | + | 11.5938i | −0.138929 | + | 0.518489i | ||||
\(501\) | −30.5301 | − | 7.85643i | −1.36398 | − | 0.351000i | ||||
\(502\) | 2.01186 | − | 7.50835i | 0.0897936 | − | 0.335114i | ||||
\(503\) | 20.4381 | + | 11.8000i | 0.911291 | + | 0.526134i | 0.880846 | − | 0.473402i | \(-0.156974\pi\) |
0.0304450 | + | 0.999536i | \(0.490308\pi\) | |||||||
\(504\) | 3.84194 | − | 6.97056i | 0.171134 | − | 0.310493i | ||||
\(505\) | −1.82794 | + | 6.82195i | −0.0813421 | + | 0.303573i | ||||
\(506\) | −2.66444 | − | 4.61494i | −0.118449 | − | 0.205159i | ||||
\(507\) | 9.70195 | − | 20.3193i | 0.430879 | − | 0.902410i | ||||
\(508\) | −1.37724 | + | 2.38546i | −0.0611053 | + | 0.105838i | ||||
\(509\) | 3.56579 | + | 3.56579i | 0.158051 | + | 0.158051i | 0.781702 | − | 0.623652i | \(-0.214352\pi\) |
−0.623652 | + | 0.781702i | \(0.714352\pi\) | |||||||
\(510\) | 7.21674 | − | 4.26269i | 0.319563 | − | 0.188755i | ||||
\(511\) | − | 15.6009i | − | 0.690142i | ||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −9.50945 | − | 31.6829i | −0.419852 | − | 1.39883i | ||||
\(514\) | −24.9083 | + | 6.67416i | −1.09866 | + | 0.294385i | ||||
\(515\) | −27.0655 | − | 7.25219i | −1.19265 | − | 0.319570i | ||||
\(516\) | 8.75261 | − | 15.5137i | 0.385312 | − | 0.682953i | ||||
\(517\) | − | 23.6082i | − | 1.03829i | ||||||
\(518\) | −18.0897 | + | 18.0897i | −0.794816 | + | 0.794816i | ||||
\(519\) | −3.87185 | − | 6.55505i | −0.169956 | − | 0.287735i | ||||
\(520\) | 3.81374 | + | 6.11422i | 0.167244 | + | 0.268126i | ||||
\(521\) | − | 42.7218i | − | 1.87168i | −0.352428 | − | 0.935839i | \(-0.614644\pi\) | ||
0.352428 | − | 0.935839i | \(-0.385356\pi\) | |||||||
\(522\) | −9.30442 | + | 9.68153i | −0.407243 | + | 0.423749i | ||||
\(523\) | 5.91448 | + | 10.2442i | 0.258622 | + | 0.447946i | 0.965873 | − | 0.259016i | \(-0.0833983\pi\) |
−0.707251 | + | 0.706962i | \(0.750065\pi\) | |||||||
\(524\) | −0.683384 | −0.0298538 | ||||||||
\(525\) | −1.24016 | − | 4.45107i | −0.0541251 | − | 0.194261i | ||||
\(526\) | 25.8510 | + | 6.92675i | 1.12716 | + | 0.302021i | ||||
\(527\) | −19.7218 | − | 5.28443i | −0.859094 | − | 0.230193i | ||||
\(528\) | −2.02801 | − | 7.27874i | −0.0882578 | − | 0.316767i | ||||
\(529\) | −21.5079 | −0.935124 | ||||||||
\(530\) | 0.142318 | + | 0.246502i | 0.00618190 | + | 0.0107074i | ||||
\(531\) | 8.35202 | − | 8.69053i | 0.362447 | − | 0.377137i | ||||
\(532\) | 16.8897i | 0.732263i | ||||||||
\(533\) | −23.6750 | + | 7.21732i | −1.02548 | + | 0.312617i | ||||
\(534\) | −13.0404 | − | 22.0773i | −0.564312 | − | 0.955380i | ||||
\(535\) | 13.9979 | − | 13.9979i | 0.605184 | − | 0.605184i | ||||
\(536\) | 2.52950i | 0.109258i | ||||||||
\(537\) | −9.26562 | + | 16.4230i | −0.399841 | + | 0.708705i | ||||
\(538\) | −19.7414 | − | 5.28970i | −0.851113 | − | 0.228055i | ||||
\(539\) | 0.163474 | − | 0.0438026i | 0.00704130 | − | 0.00188671i | ||||
\(540\) | −7.12142 | + | 7.55887i | −0.306457 | + | 0.325282i | ||||
\(541\) | −1.16137 | − | 1.16137i | −0.0499311 | − | 0.0499311i | 0.681700 | − | 0.731631i | \(-0.261241\pi\) |
−0.731631 | + | 0.681700i | \(0.761241\pi\) | |||||||
\(542\) | − | 19.3947i | − | 0.833073i | ||||||
\(543\) | −4.67992 | + | 2.76428i | −0.200835 | + | 0.118626i | ||||
\(544\) | −1.71208 | − | 1.71208i | −0.0734047 | − | 0.0734047i | ||||
\(545\) | 7.83856 | − | 13.5768i | 0.335767 | − | 0.581566i | ||||
\(546\) | −14.6994 | − | 7.64460i | −0.629077 | − | 0.327159i | ||||
\(547\) | 0.539713 | + | 0.934811i | 0.0230765 | + | 0.0399696i | 0.877333 | − | 0.479882i | \(-0.159321\pi\) |
−0.854257 | + | 0.519852i | \(0.825987\pi\) | |||||||
\(548\) | 5.82993 | − | 21.7576i | 0.249042 | − | 0.929439i | ||||
\(549\) | 14.5604 | − | 26.4174i | 0.621422 | − | 1.12747i | ||||
\(550\) | −3.79884 | − | 2.19326i | −0.161983 | − | 0.0935209i | ||||
\(551\) | 7.37483 | − | 27.5232i | 0.314178 | − | 1.17253i | ||||
\(552\) | 2.04900 | + | 0.527278i | 0.0872112 | + | 0.0224424i | ||||
\(553\) | 0.222263 | − | 0.829496i | 0.00945158 | − | 0.0352738i | ||||
\(554\) | 2.76495 | + | 10.3189i | 0.117471 | + | 0.438409i | ||||
\(555\) | 28.7409 | − | 16.9763i | 1.21998 | − | 0.720603i | ||||
\(556\) | 16.9299 | + | 9.77449i | 0.717989 | + | 0.414531i | ||||
\(557\) | 22.0126 | + | 5.89827i | 0.932705 | + | 0.249918i | 0.693008 | − | 0.720930i | \(-0.256285\pi\) |
0.239697 | + | 0.970848i | \(0.422952\pi\) | |||||||
\(558\) | 25.2930 | − | 0.502381i | 1.07074 | − | 0.0212675i | ||||
\(559\) | −32.7253 | − | 17.4342i | −1.38413 | − | 0.737386i | ||||
\(560\) | 4.59209 | − | 2.65124i | 0.194051 | − | 0.112035i | ||||
\(561\) | 4.91030 | + | 17.6236i | 0.207313 | + | 0.744069i | ||||
\(562\) | 22.7626 | 0.960183 | ||||||||
\(563\) | −6.38715 | − | 11.0629i | −0.269186 | − | 0.466245i | 0.699466 | − | 0.714666i | \(-0.253421\pi\) |
−0.968652 | + | 0.248422i | \(0.920088\pi\) | |||||||
\(564\) | 6.69341 | + | 6.56179i | 0.281844 | + | 0.276301i | ||||
\(565\) | −19.0383 | + | 19.0383i | −0.800946 | + | 0.800946i | ||||
\(566\) | 0.131652 | + | 0.491331i | 0.00553374 | + | 0.0206522i | ||||
\(567\) | 5.25926 | − | 23.2913i | 0.220868 | − | 0.978141i | ||||
\(568\) | −3.68494 | + | 6.38250i | −0.154617 | + | 0.267804i | ||||
\(569\) | −1.93959 | + | 3.35946i | −0.0813117 | + | 0.140836i | −0.903814 | − | 0.427926i | \(-0.859244\pi\) |
0.822502 | + | 0.568762i | \(0.192578\pi\) | |||||||
\(570\) | 5.49210 | − | 21.3423i | 0.230039 | − | 0.893930i | ||||
\(571\) | 4.28302 | + | 2.47280i | 0.179239 | + | 0.103483i | 0.586935 | − | 0.809634i | \(-0.300334\pi\) |
−0.407696 | + | 0.913118i | \(0.633668\pi\) | |||||||
\(572\) | −15.0455 | + | 4.58661i | −0.629082 | + | 0.191776i | ||||
\(573\) | −24.8097 | + | 14.6543i | −1.03644 | + | 0.612191i | ||||
\(574\) | 4.71368 | + | 17.5917i | 0.196745 | + | 0.734263i | ||||
\(575\) | 1.06371 | − | 0.614136i | 0.0443599 | − | 0.0256112i | ||||
\(576\) | 2.62735 | + | 1.44811i | 0.109473 | + | 0.0603379i | ||||
\(577\) | −9.91809 | + | 9.91809i | −0.412896 | + | 0.412896i | −0.882746 | − | 0.469850i | \(-0.844308\pi\) |
0.469850 | + | 0.882746i | \(0.344308\pi\) | |||||||
\(578\) | −7.87546 | − | 7.87546i | −0.327576 | − | 0.327576i | ||||
\(579\) | 6.60471 | − | 25.6659i | 0.274482 | − | 1.06664i | ||||
\(580\) | −8.64084 | + | 2.31531i | −0.358791 | + | 0.0961378i | ||||
\(581\) | −9.03829 | + | 5.21826i | −0.374972 | + | 0.216490i | ||||
\(582\) | 15.2023 | − | 0.150962i | 0.630154 | − | 0.00625759i | ||||
\(583\) | −0.600114 | + | 0.160800i | −0.0248542 | + | 0.00665966i | ||||
\(584\) | 5.88030 | 0.243329 | ||||||||
\(585\) | 16.0887 | + | 14.4398i | 0.665187 | + | 0.597011i | ||||
\(586\) | 21.4693 | 0.886888 | ||||||||
\(587\) | 39.5886 | − | 10.6077i | 1.63400 | − | 0.437828i | 0.678926 | − | 0.734207i | \(-0.262446\pi\) |
0.955070 | + | 0.296379i | \(0.0957792\pi\) | |||||||
\(588\) | −0.0330178 | + | 0.0585229i | −0.00136163 | + | 0.00241344i | ||||
\(589\) | −46.4909 | + | 26.8416i | −1.91563 | + | 1.10599i | ||||
\(590\) | 7.75636 | − | 2.07831i | 0.319324 | − | 0.0855627i | ||||
\(591\) | −34.6005 | + | 9.64041i | −1.42327 | + | 0.396553i | ||||
\(592\) | −6.81839 | − | 6.81839i | −0.280234 | − | 0.280234i | ||||
\(593\) | 5.71700 | − | 5.71700i | 0.234769 | − | 0.234769i | −0.579911 | − | 0.814680i | \(-0.696913\pi\) |
0.814680 | + | 0.579911i | \(0.196913\pi\) | |||||||
\(594\) | −11.9137 | − | 19.2847i | −0.488824 | − | 0.791262i | ||||
\(595\) | −11.1186 | + | 6.41930i | −0.455816 | + | 0.263166i | ||||
\(596\) | 1.27189 | + | 4.74676i | 0.0520986 | + | 0.194435i | ||||
\(597\) | 0.106694 | + | 10.7443i | 0.00436670 | + | 0.439737i | ||||
\(598\) | 0.994206 | − | 4.29061i | 0.0406561 | − | 0.175456i | ||||
\(599\) | 33.2498 | + | 19.1968i | 1.35855 | + | 0.784359i | 0.989428 | − | 0.145022i | \(-0.0463254\pi\) |
0.369121 | + | 0.929381i | \(0.379659\pi\) | |||||||
\(600\) | 1.67770 | − | 0.467443i | 0.0684920 | − | 0.0190833i | ||||
\(601\) | −10.4558 | + | 18.1099i | −0.426500 | + | 0.738719i | −0.996559 | − | 0.0828841i | \(-0.973587\pi\) |
0.570059 | + | 0.821604i | \(0.306920\pi\) | |||||||
\(602\) | −13.6421 | + | 23.6289i | −0.556011 | + | 0.963040i | ||||
\(603\) | 2.10922 | + | 7.28949i | 0.0858943 | + | 0.296851i | ||||
\(604\) | −1.03704 | − | 3.87030i | −0.0421967 | − | 0.157480i | ||||
\(605\) | −11.3497 | + | 11.3497i | −0.461430 | + | 0.461430i | ||||
\(606\) | 5.89604 | − | 1.64276i | 0.239510 | − | 0.0667326i | ||||
\(607\) | −17.5417 | − | 30.3832i | −0.711997 | − | 1.23322i | −0.964106 | − | 0.265516i | \(-0.914458\pi\) |
0.252109 | − | 0.967699i | \(-0.418876\pi\) | |||||||
\(608\) | −6.36610 | −0.258180 | ||||||||
\(609\) | 14.3986 | − | 14.6875i | 0.583462 | − | 0.595166i | ||||
\(610\) | 17.4033 | − | 10.0478i | 0.704640 | − | 0.406824i | ||||
\(611\) | 13.3187 | − | 14.2595i | 0.538817 | − | 0.576878i | ||||
\(612\) | −6.36145 | − | 3.50623i | −0.257147 | − | 0.141731i | ||||
\(613\) | 37.3103 | + | 9.99725i | 1.50695 | + | 0.403785i | 0.915420 | − | 0.402500i | \(-0.131859\pi\) |
0.591527 | + | 0.806285i | \(0.298525\pi\) | |||||||
\(614\) | 20.7750 | + | 11.9944i | 0.838409 | + | 0.484056i | ||||
\(615\) | −0.235963 | − | 23.7621i | −0.00951496 | − | 0.958179i | ||||
\(616\) | 2.99555 | + | 11.1795i | 0.120694 | + | 0.450436i | ||||
\(617\) | 2.02021 | − | 7.53952i | 0.0813305 | − | 0.303530i | −0.913264 | − | 0.407369i | \(-0.866446\pi\) |
0.994594 | + | 0.103840i | \(0.0331129\pi\) | |||||||
\(618\) | 6.51752 | + | 23.3921i | 0.262173 | + | 0.940967i | ||||
\(619\) | −7.39770 | + | 27.6086i | −0.297339 | + | 1.10968i | 0.642003 | + | 0.766702i | \(0.278104\pi\) |
−0.939342 | + | 0.342982i | \(0.888563\pi\) | |||||||
\(620\) | 14.5957 | + | 8.42683i | 0.586177 | + | 0.338430i | ||||
\(621\) | 6.34445 | − | 0.189056i | 0.254594 | − | 0.00758654i | ||||
\(622\) | 8.55692 | − | 31.9348i | 0.343101 | − | 1.28047i | ||||
\(623\) | 19.6378 | + | 34.0137i | 0.786773 | + | 1.36273i | ||||
\(624\) | 2.88141 | − | 5.54053i | 0.115349 | − | 0.221799i | ||||
\(625\) | −9.48067 | + | 16.4210i | −0.379227 | + | 0.656840i | ||||
\(626\) | −10.3550 | − | 10.3550i | −0.413870 | − | 0.413870i | ||||
\(627\) | 41.8945 | + | 23.6363i | 1.67310 | + | 0.943941i | ||||
\(628\) | − | 0.0748314i | − | 0.00298610i | ||||||
\(629\) | 16.5090 | + | 16.5090i | 0.658256 | + | 0.658256i | ||||
\(630\) | 11.0227 | − | 11.4694i | 0.439154 | − | 0.456953i | ||||
\(631\) | −2.02779 | + | 0.543345i | −0.0807251 | + | 0.0216302i | −0.298956 | − | 0.954267i | \(-0.596638\pi\) |
0.218230 | + | 0.975897i | \(0.429972\pi\) | |||||||
\(632\) | 0.312655 | + | 0.0837756i | 0.0124367 | + | 0.00333242i | ||||
\(633\) | −7.44429 | − | 12.6032i | −0.295884 | − | 0.500932i | ||||
\(634\) | − | 1.39648i | − | 0.0554613i | ||||||
\(635\) | −3.89275 | + | 3.89275i | −0.154479 | + | 0.154479i | ||||
\(636\) | 0.121209 | − | 0.214838i | 0.00480624 | − | 0.00851890i | ||||
\(637\) | 0.123451 | + | 0.0657675i | 0.00489129 | + | 0.00260580i | ||||
\(638\) | − | 19.5260i | − | 0.773040i | ||||||
\(639\) | −5.29716 | + | 21.4657i | −0.209553 | + | 0.849170i | ||||
\(640\) | 0.999310 | + | 1.73086i | 0.0395012 | + | 0.0684181i | ||||
\(641\) | 19.2923 | 0.762001 | 0.381001 | − | 0.924575i | \(-0.375580\pi\) | ||||
0.381001 | + | 0.924575i | \(0.375580\pi\) | |||||||
\(642\) | −16.6145 | − | 4.27547i | −0.655720 | − | 0.168739i | ||||
\(643\) | −16.0158 | − | 4.29141i | −0.631600 | − | 0.169237i | −0.0712046 | − | 0.997462i | \(-0.522684\pi\) |
−0.560396 | + | 0.828225i | \(0.689351\pi\) | |||||||
\(644\) | −3.13038 | − | 0.838784i | −0.123354 | − | 0.0330527i | ||||
\(645\) | 24.9220 | − | 25.4219i | 0.981303 | − | 1.00099i | ||||
\(646\) | 15.4139 | 0.606451 | ||||||||
\(647\) | 19.1754 | + | 33.2127i | 0.753861 | + | 1.30573i | 0.945939 | + | 0.324346i | \(0.105144\pi\) |
−0.192077 | + | 0.981380i | \(0.561522\pi\) | |||||||
\(648\) | 8.77897 | + | 1.98233i | 0.344871 | + | 0.0778732i | ||||
\(649\) | 17.5273i | 0.688006i | ||||||||
\(650\) | −1.05719 | − | 3.46788i | −0.0414662 | − | 0.136022i | ||||
\(651\) | −38.7483 | + | 0.384780i | −1.51866 | + | 0.0150807i | ||||
\(652\) | 13.2010 | − | 13.2010i | 0.516992 | − | 0.516992i | ||||
\(653\) | 14.7649i | 0.577793i | 0.957360 | + | 0.288897i | \(0.0932884\pi\) | ||||
−0.957360 | + | 0.288897i | \(0.906712\pi\) | |||||||
\(654\) | −13.5855 | + | 0.134907i | −0.531235 | + | 0.00527530i | ||||
\(655\) | −1.31929 | − | 0.353502i | −0.0515488 | − | 0.0138125i | ||||
\(656\) | −6.63068 | + | 1.77669i | −0.258885 | + | 0.0693680i | ||||
\(657\) | 16.9458 | − | 4.90329i | 0.661118 | − | 0.191296i | ||||
\(658\) | −10.1523 | − | 10.1523i | −0.395780 | − | 0.395780i | ||||
\(659\) | − | 7.99000i | − | 0.311246i | −0.987817 | − | 0.155623i | \(-0.950261\pi\) | ||
0.987817 | − | 0.155623i | \(-0.0497385\pi\) | |||||||
\(660\) | −0.149955 | − | 15.1008i | −0.00583698 | − | 0.587798i | ||||
\(661\) | −17.2742 | − | 17.2742i | −0.671887 | − | 0.671887i | 0.286264 | − | 0.958151i | \(-0.407587\pi\) |
−0.958151 | + | 0.286264i | \(0.907587\pi\) | |||||||
\(662\) | −8.76189 | + | 15.1760i | −0.340540 | + | 0.589833i | ||||
\(663\) | −6.97660 | + | 13.4150i | −0.270949 | + | 0.520994i | ||||
\(664\) | −1.96687 | − | 3.40673i | −0.0763295 | − | 0.132207i | ||||
\(665\) | −8.73674 | + | 32.6060i | −0.338796 | + | 1.26440i | ||||
\(666\) | −25.3347 | − | 13.9636i | −0.981699 | − | 0.541080i | ||||
\(667\) | 4.73497 | + | 2.73374i | 0.183339 | + | 0.105851i | ||||
\(668\) | −4.71072 | + | 17.5806i | −0.182263 | + | 0.680215i | ||||
\(669\) | −13.3422 | + | 13.6098i | −0.515839 | + | 0.526187i | ||||
\(670\) | −1.30846 | + | 4.88325i | −0.0505503 | + | 0.188656i | ||||
\(671\) | 11.3527 | + | 42.3687i | 0.438265 | + | 1.63563i | ||||
\(672\) | −4.00223 | − | 2.25800i | −0.154389 | − | 0.0871042i | ||||
\(673\) | −43.1736 | − | 24.9263i | −1.66422 | − | 0.960838i | −0.970666 | − | 0.240433i | \(-0.922710\pi\) |
−0.693554 | − | 0.720405i | \(-0.743956\pi\) | |||||||
\(674\) | −24.8761 | − | 6.66553i | −0.958192 | − | 0.256747i | ||||
\(675\) | 4.44501 | − | 2.74603i | 0.171088 | − | 0.105695i | ||||
\(676\) | −11.6751 | − | 5.71764i | −0.449043 | − | 0.219909i | ||||
\(677\) | 7.87586 | − | 4.54713i | 0.302694 | − | 0.174760i | −0.340959 | − | 0.940078i | \(-0.610752\pi\) |
0.643652 | + | 0.765318i | \(0.277418\pi\) | |||||||
\(678\) | 22.5969 | + | 5.81496i | 0.867829 | + | 0.223322i | ||||
\(679\) | −23.2873 | −0.893683 | ||||||||
\(680\) | −2.41957 | − | 4.19082i | −0.0927863 | − | 0.160711i | ||||
\(681\) | −3.41837 | + | 13.2838i | −0.130992 | + | 0.509035i | ||||
\(682\) | −26.0123 | + | 26.0123i | −0.996064 | + | 0.996064i | ||||
\(683\) | 7.08606 | + | 26.4455i | 0.271141 | + | 1.01191i | 0.958384 | + | 0.285483i | \(0.0921540\pi\) |
−0.687243 | + | 0.726427i | \(0.741179\pi\) | |||||||
\(684\) | −18.3458 | + | 5.30837i | −0.701467 | + | 0.202971i | ||||
\(685\) | 22.5096 | − | 38.9877i | 0.860047 | − | 1.48965i | ||||
\(686\) | −9.23429 | + | 15.9943i | −0.352567 | + | 0.610664i | ||||
\(687\) | −1.80359 | − | 1.76812i | −0.0688111 | − | 0.0674579i | ||||
\(688\) | −8.90622 | − | 5.14201i | −0.339546 | − | 0.196037i | ||||
\(689\) | −0.453190 | − | 0.241433i | −0.0172651 | − | 0.00919788i | ||||
\(690\) | 3.68288 | + | 2.07783i | 0.140205 | + | 0.0791015i | ||||
\(691\) | −0.505728 | − | 1.88740i | −0.0192388 | − | 0.0718002i | 0.955639 | − | 0.294540i | \(-0.0951665\pi\) |
−0.974878 | + | 0.222740i | \(0.928500\pi\) | |||||||
\(692\) | −3.80657 | + | 2.19773i | −0.144704 | + | 0.0835450i | ||||
\(693\) | 17.9546 | + | 29.7192i | 0.682038 | + | 1.12894i | ||||
\(694\) | −15.9053 | + | 15.9053i | −0.603758 | + | 0.603758i | ||||
\(695\) | 27.6274 | + | 27.6274i | 1.04797 | + | 1.04797i | ||||
\(696\) | 5.53602 | + | 5.42715i | 0.209842 | + | 0.205716i | ||||
\(697\) | 16.0545 | − | 4.30179i | 0.608107 | − | 0.162942i | ||||
\(698\) | −14.4103 | + | 8.31981i | −0.545439 | + | 0.314909i | ||||
\(699\) | −3.86974 | − | 6.55148i | −0.146367 | − | 0.247800i | ||||
\(700\) | −2.57681 | + | 0.690454i | −0.0973943 | + | 0.0260967i | ||||
\(701\) | −8.14720 | −0.307715 | −0.153858 | − | 0.988093i | \(-0.549170\pi\) | ||||
−0.153858 | + | 0.988093i | \(0.549170\pi\) | |||||||
\(702\) | 3.68365 | − | 18.3693i | 0.139031 | − | 0.693304i | ||||
\(703\) | 61.3862 | 2.31522 | ||||||||
\(704\) | −4.21380 | + | 1.12909i | −0.158814 | + | 0.0425540i | ||||
\(705\) | 9.52748 | + | 16.1300i | 0.358825 | + | 0.607492i | ||||
\(706\) | −29.1193 | + | 16.8120i | −1.09592 | + | 0.632729i | ||||
\(707\) | −9.05582 | + | 2.42650i | −0.340579 | + | 0.0912579i | ||||
\(708\) | −4.96935 | − | 4.87163i | −0.186760 | − | 0.183087i | ||||
\(709\) | 29.2396 | + | 29.2396i | 1.09811 | + | 1.09811i | 0.994631 | + | 0.103484i | \(0.0329989\pi\) |
0.103484 | + | 0.994631i | \(0.467001\pi\) | |||||||
\(710\) | −10.4154 | + | 10.4154i | −0.390883 | + | 0.390883i | ||||
\(711\) | 0.970861 | − | 0.0192837i | 0.0364101 | − | 0.000723195i | ||||
\(712\) | −12.8205 | + | 7.40192i | −0.480468 | + | 0.277399i | ||||
\(713\) | −2.66603 | − | 9.94975i | −0.0998436 | − | 0.372621i | ||||
\(714\) | 9.69036 | + | 5.46716i | 0.362653 | + | 0.204603i | ||||
\(715\) | −31.4181 | + | 1.07181i | −1.17497 | + | 0.0400836i | ||||
\(716\) | 9.42824 | + | 5.44340i | 0.352350 | + | 0.203429i | ||||
\(717\) | −11.5098 | − | 11.2834i | −0.429841 | − | 0.421388i | ||||
\(718\) | 13.2236 | − | 22.9039i | 0.493500 | − | 0.854768i | ||||
\(719\) | 24.0105 | − | 41.5874i | 0.895441 | − | 1.55095i | 0.0621837 | − | 0.998065i | \(-0.480194\pi\) |
0.833258 | − | 0.552885i | \(-0.186473\pi\) | |||||||
\(720\) | 4.32307 | + | 4.15468i | 0.161111 | + | 0.154836i | ||||
\(721\) | −9.62694 | − | 35.9282i | −0.358526 | − | 1.33804i | ||||
\(722\) | 15.2221 | − | 15.2221i | 0.566507 | − | 0.566507i | ||||
\(723\) | −0.719657 | + | 2.79659i | −0.0267643 | + | 0.104006i | ||||
\(724\) | 1.56905 | + | 2.71767i | 0.0583132 | + | 0.101001i | ||||
\(725\) | 4.50061 | 0.167148 | ||||||||
\(726\) | 13.4712 | + | 3.46659i | 0.499962 | + | 0.128657i | ||||
\(727\) | −6.36454 | + | 3.67457i | −0.236048 | + | 0.136282i | −0.613359 | − | 0.789804i | \(-0.710182\pi\) |
0.377311 | + | 0.926087i | \(0.376849\pi\) | |||||||
\(728\) | −4.49767 | + | 8.44247i | −0.166695 | + | 0.312899i | ||||
\(729\) | 26.9521 | − | 1.60770i | 0.998226 | − | 0.0595443i | ||||
\(730\) | 11.3520 | + | 3.04177i | 0.420158 | + | 0.112581i | ||||
\(731\) | 21.5641 | + | 12.4500i | 0.797578 | + | 0.460482i | ||||
\(732\) | −15.1678 | − | 8.55748i | −0.560620 | − | 0.316293i | ||||
\(733\) | 2.01932 | + | 7.53620i | 0.0745852 | + | 0.278356i | 0.993139 | − | 0.116940i | \(-0.0373086\pi\) |
−0.918554 | + | 0.395296i | \(0.870642\pi\) | |||||||
\(734\) | 9.06799 | − | 33.8422i | 0.334705 | − | 1.24914i | ||||
\(735\) | −0.0940142 | + | 0.0959001i | −0.00346777 | + | 0.00353733i | ||||
\(736\) | 0.316156 | − | 1.17991i | 0.0116537 | − | 0.0434920i | ||||
\(737\) | −9.55644 | − | 5.51741i | −0.352016 | − | 0.203237i | ||||
\(738\) | −17.6267 | + | 10.6490i | −0.648849 | + | 0.391996i | ||||
\(739\) | −6.40212 | + | 23.8930i | −0.235506 | + | 0.878920i | 0.742414 | + | 0.669941i | \(0.233681\pi\) |
−0.977920 | + | 0.208979i | \(0.932986\pi\) | |||||||
\(740\) | −9.63601 | − | 16.6901i | −0.354227 | − | 0.613539i | ||||
\(741\) | 11.9700 | + | 37.9115i | 0.439730 | + | 1.39271i | ||||
\(742\) | −0.188920 | + | 0.327220i | −0.00693548 | + | 0.0120126i | ||||
\(743\) | 13.9570 | + | 13.9570i | 0.512032 | + | 0.512032i | 0.915149 | − | 0.403117i | \(-0.132073\pi\) |
−0.403117 | + | 0.915149i | \(0.632073\pi\) | |||||||
\(744\) | −0.145032 | − | 14.6051i | −0.00531713 | − | 0.535447i | ||||
\(745\) | 9.82163i | 0.359837i | ||||||||
\(746\) | 4.48418 | + | 4.48418i | 0.164177 | + | 0.164177i | ||||
\(747\) | −8.50881 | − | 8.17738i | −0.311321 | − | 0.299195i | ||||
\(748\) | 10.2026 | − | 2.73379i | 0.373045 | − | 0.0999572i | ||||
\(749\) | 25.3829 | + | 6.80134i | 0.927473 | + | 0.248516i | ||||
\(750\) | 20.7883 | − | 0.206434i | 0.759083 | − | 0.00753789i | ||||
\(751\) | − | 10.7772i | − | 0.393266i | −0.980477 | − | 0.196633i | \(-0.936999\pi\) | ||
0.980477 | − | 0.196633i | \(-0.0630008\pi\) | |||||||
\(752\) | 3.82664 | − | 3.82664i | 0.139543 | − | 0.139543i | ||||
\(753\) | −13.4629 | + | 0.133691i | −0.490617 | + | 0.00487195i | ||||
\(754\) | 11.0157 | − | 11.7938i | 0.401168 | − | 0.429506i | ||||
\(755\) | − | 8.00813i | − | 0.291446i | ||||||
\(756\) | −13.4164 | − | 3.16981i | −0.487950 | − | 0.115285i | ||||
\(757\) | −25.3500 | − | 43.9076i | −0.921363 | − | 1.59585i | −0.797308 | − | 0.603572i | \(-0.793744\pi\) |
−0.124055 | − | 0.992275i | \(-0.539590\pi\) | |||||||
\(758\) | 34.1962 | 1.24206 | ||||||||
\(759\) | −6.46138 | + | 6.59099i | −0.234533 | + | 0.239238i | ||||
\(760\) | −12.2899 | − | 3.29306i | −0.445801 | − | 0.119452i | ||||
\(761\) | −0.685121 | − | 0.183578i | −0.0248356 | − | 0.00665468i | 0.246380 | − | 0.969173i | \(-0.420759\pi\) |
−0.271215 | + | 0.962519i | \(0.587426\pi\) | |||||||
\(762\) | 4.62038 | + | 1.18898i | 0.167379 | + | 0.0430723i | ||||
\(763\) | 20.8106 | 0.753396 | ||||||||
\(764\) | 8.31799 | + | 14.4072i | 0.300934 | + | 0.521234i | ||||
\(765\) | −10.4672 | − | 10.0595i | −0.378443 | − | 0.363702i | ||||
\(766\) | 16.7505i | 0.605221i | ||||||||
\(767\) | −9.88812 | + | 10.5866i | −0.357039 | + | 0.382260i | ||||
\(768\) | 0.851088 | − | 1.50853i | 0.0307110 | − | 0.0544342i | ||||
\(769\) | −13.1862 | + | 13.1862i |