Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.46 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.46 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.768123 | − | 1.95715i | 0.543145 | − | 1.38391i | −0.351101 | − | 0.936337i | \(-0.614193\pi\) |
0.894247 | − | 0.447574i | \(-0.147712\pi\) | |||||||
\(3\) | −1.69554 | − | 0.353738i | −0.978923 | − | 0.204230i | ||||
\(4\) | −1.77431 | − | 1.64632i | −0.887153 | − | 0.823158i | ||||
\(5\) | 1.62472 | − | 0.782423i | 0.726596 | − | 0.349910i | −0.0337483 | − | 0.999430i | \(-0.510744\pi\) |
0.760344 | + | 0.649520i | \(0.225030\pi\) | |||||||
\(6\) | −1.99470 | + | 3.04671i | −0.814334 | + | 1.24382i | ||||
\(7\) | 0.533955 | − | 2.59131i | 0.201816 | − | 0.979423i | ||||
\(8\) | −0.796422 | + | 0.383537i | −0.281578 | + | 0.135601i | ||||
\(9\) | 2.74974 | + | 1.19956i | 0.916580 | + | 0.399852i | ||||
\(10\) | −0.283333 | − | 3.78081i | −0.0895976 | − | 1.19560i | ||||
\(11\) | −2.81010 | − | 3.52376i | −0.847277 | − | 1.06245i | −0.997276 | − | 0.0737659i | \(-0.976498\pi\) |
0.149998 | − | 0.988686i | \(-0.452073\pi\) | |||||||
\(12\) | 2.42605 | + | 3.41904i | 0.700340 | + | 0.986991i | ||||
\(13\) | −1.23274 | + | 3.14097i | −0.341901 | + | 0.871149i | 0.651729 | + | 0.758452i | \(0.274044\pi\) |
−0.993629 | + | 0.112697i | \(0.964051\pi\) | |||||||
\(14\) | −4.66143 | − | 3.03547i | −1.24582 | − | 0.811265i | ||||
\(15\) | −3.03155 | + | 0.751909i | −0.782744 | + | 0.194142i | ||||
\(16\) | −0.222872 | − | 2.97402i | −0.0557180 | − | 0.743505i | ||||
\(17\) | 1.00688 | − | 0.934245i | 0.244203 | − | 0.226588i | −0.548569 | − | 0.836105i | \(-0.684827\pi\) |
0.792773 | + | 0.609517i | \(0.208637\pi\) | |||||||
\(18\) | 4.45984 | − | 4.46024i | 1.05120 | − | 1.05129i | ||||
\(19\) | −0.818665 | + | 1.41797i | −0.187815 | + | 0.325304i | −0.944521 | − | 0.328450i | \(-0.893474\pi\) |
0.756707 | + | 0.653754i | \(0.226807\pi\) | |||||||
\(20\) | −4.17086 | − | 1.28654i | −0.932633 | − | 0.287679i | ||||
\(21\) | −1.82199 | + | 4.20480i | −0.397590 | + | 0.917563i | ||||
\(22\) | −9.05501 | + | 2.79310i | −1.93053 | + | 0.595491i | ||||
\(23\) | 0.0235570 | − | 0.103210i | 0.00491197 | − | 0.0215207i | −0.972413 | − | 0.233268i | \(-0.925058\pi\) |
0.977325 | + | 0.211747i | \(0.0679153\pi\) | |||||||
\(24\) | 1.48604 | − | 0.368579i | 0.303337 | − | 0.0752358i | ||||
\(25\) | −1.08993 | + | 1.36672i | −0.217985 | + | 0.273345i | ||||
\(26\) | 5.20045 | + | 4.82531i | 1.01989 | + | 0.946321i | ||||
\(27\) | −4.23798 | − | 3.00658i | −0.815599 | − | 0.578618i | ||||
\(28\) | −5.21351 | + | 3.71872i | −0.985261 | + | 0.702772i | ||||
\(29\) | 4.37908 | + | 1.35077i | 0.813174 | + | 0.250831i | 0.673330 | − | 0.739342i | \(-0.264863\pi\) |
0.139845 | + | 0.990173i | \(0.455340\pi\) | |||||||
\(30\) | −0.857012 | + | 6.51075i | −0.156468 | + | 1.18870i | ||||
\(31\) | −0.961007 | + | 1.66451i | −0.172602 | + | 0.298955i | −0.939329 | − | 0.343018i | \(-0.888551\pi\) |
0.766727 | + | 0.641974i | \(0.221884\pi\) | |||||||
\(32\) | −7.68117 | − | 2.36933i | −1.35785 | − | 0.418842i | ||||
\(33\) | 3.51817 | + | 6.96872i | 0.612434 | + | 1.21310i | ||||
\(34\) | −1.05505 | − | 2.68822i | −0.180939 | − | 0.461026i | ||||
\(35\) | −1.15998 | − | 4.62793i | −0.196072 | − | 0.782263i | ||||
\(36\) | −2.90403 | − | 6.65532i | −0.484005 | − | 1.10922i | ||||
\(37\) | −7.36524 | − | 2.27188i | −1.21084 | − | 0.373494i | −0.377370 | − | 0.926062i | \(-0.623172\pi\) |
−0.833468 | + | 0.552568i | \(0.813648\pi\) | |||||||
\(38\) | 2.14634 | + | 2.69142i | 0.348182 | + | 0.436606i | ||||
\(39\) | 3.20125 | − | 4.88959i | 0.512610 | − | 0.782961i | ||||
\(40\) | −0.993873 | + | 1.24628i | −0.157145 | + | 0.197054i | ||||
\(41\) | 6.11160 | + | 4.16682i | 0.954472 | + | 0.650748i | 0.937085 | − | 0.349101i | \(-0.113513\pi\) |
0.0173869 | + | 0.999849i | \(0.494465\pi\) | |||||||
\(42\) | 6.82990 | + | 6.79570i | 1.05388 | + | 1.04860i | ||||
\(43\) | 7.79970 | − | 5.31775i | 1.18944 | − | 0.810949i | 0.203672 | − | 0.979039i | \(-0.434712\pi\) |
0.985772 | + | 0.168090i | \(0.0537601\pi\) | |||||||
\(44\) | −0.815233 | + | 10.8785i | −0.122901 | + | 1.64000i | ||||
\(45\) | 5.40611 | − | 0.202520i | 0.805896 | − | 0.0301900i | ||||
\(46\) | −0.183902 | − | 0.125382i | −0.0271149 | − | 0.0184866i | ||||
\(47\) | −3.71854 | + | 9.47469i | −0.542405 | + | 1.38203i | 0.352518 | + | 0.935805i | \(0.385326\pi\) |
−0.894923 | + | 0.446220i | \(0.852770\pi\) | |||||||
\(48\) | −0.674133 | + | 5.12142i | −0.0973027 | + | 0.739213i | ||||
\(49\) | −6.42978 | − | 2.76729i | −0.918541 | − | 0.395327i | ||||
\(50\) | 1.83768 | + | 3.18296i | 0.259887 | + | 0.450138i | ||||
\(51\) | −2.03768 | + | 1.22788i | −0.285332 | + | 0.171938i | ||||
\(52\) | 7.35829 | − | 3.54356i | 1.02041 | − | 0.491404i | ||||
\(53\) | 6.04563 | − | 1.86483i | 0.830431 | − | 0.256154i | 0.149741 | − | 0.988725i | \(-0.452156\pi\) |
0.680690 | + | 0.732571i | \(0.261680\pi\) | |||||||
\(54\) | −9.13962 | + | 5.98491i | −1.24374 | + | 0.814444i | ||||
\(55\) | −7.32269 | − | 3.52642i | −0.987391 | − | 0.475503i | ||||
\(56\) | 0.568609 | + | 2.26857i | 0.0759836 | + | 0.303150i | ||||
\(57\) | 1.88967 | − | 2.11464i | 0.250293 | − | 0.280090i | ||||
\(58\) | 6.00732 | − | 7.53294i | 0.788800 | − | 0.989124i | ||||
\(59\) | 9.90865 | − | 6.75560i | 1.29000 | − | 0.879504i | 0.292936 | − | 0.956132i | \(-0.405368\pi\) |
0.997060 | + | 0.0766278i | \(0.0244153\pi\) | |||||||
\(60\) | 6.61678 | + | 3.65678i | 0.854223 | + | 0.472088i | ||||
\(61\) | 9.55818 | − | 8.86869i | 1.22380 | − | 1.13552i | 0.237355 | − | 0.971423i | \(-0.423720\pi\) |
0.986444 | − | 0.164096i | \(-0.0524708\pi\) | |||||||
\(62\) | 2.51952 | + | 3.15938i | 0.319980 | + | 0.401242i | ||||
\(63\) | 4.57666 | − | 6.48492i | 0.576605 | − | 0.817023i | ||||
\(64\) | −6.81826 | + | 8.54983i | −0.852283 | + | 1.06873i | ||||
\(65\) | 0.454713 | + | 6.06772i | 0.0564002 | + | 0.752608i | ||||
\(66\) | 16.3412 | − | 1.53273i | 2.01146 | − | 0.188666i | ||||
\(67\) | 2.44935 | − | 4.24240i | 0.299235 | − | 0.518291i | −0.676726 | − | 0.736235i | \(-0.736602\pi\) |
0.975961 | + | 0.217944i | \(0.0699351\pi\) | |||||||
\(68\) | −3.32457 | −0.403163 | ||||||||
\(69\) | −0.0764510 | + | 0.166664i | −0.00920362 | + | 0.0200640i | ||||
\(70\) | −9.94854 | − | 1.28458i | −1.18908 | − | 0.153537i | ||||
\(71\) | 3.11349 | − | 13.6411i | 0.369503 | − | 1.61890i | −0.358642 | − | 0.933475i | \(-0.616760\pi\) |
0.728145 | − | 0.685423i | \(-0.240383\pi\) | |||||||
\(72\) | −2.65003 | + | 0.0992736i | −0.312309 | + | 0.0116995i | ||||
\(73\) | −3.92379 | − | 0.591417i | −0.459245 | − | 0.0692201i | −0.0846545 | − | 0.996410i | \(-0.526979\pi\) |
−0.374591 | + | 0.927190i | \(0.622217\pi\) | |||||||
\(74\) | −10.1038 | + | 12.6698i | −1.17454 | + | 1.47283i | ||||
\(75\) | 2.33148 | − | 1.93179i | 0.269216 | − | 0.223064i | ||||
\(76\) | 3.78699 | − | 1.16813i | 0.434397 | − | 0.133994i | ||||
\(77\) | −10.6316 | + | 5.40032i | −1.21158 | + | 0.615424i | ||||
\(78\) | −7.11069 | − | 10.0211i | −0.805127 | − | 1.13467i | ||||
\(79\) | −0.102159 | − | 0.176944i | −0.0114937 | − | 0.0199077i | 0.860221 | − | 0.509921i | \(-0.170325\pi\) |
−0.871715 | + | 0.490013i | \(0.836992\pi\) | |||||||
\(80\) | −2.68905 | − | 4.65756i | −0.300644 | − | 0.520732i | ||||
\(81\) | 6.12213 | + | 6.59693i | 0.680237 | + | 0.732992i | ||||
\(82\) | 12.8495 | − | 8.76067i | 1.41899 | − | 0.967454i | ||||
\(83\) | 4.41781 | + | 11.2564i | 0.484917 | + | 1.23555i | 0.938792 | + | 0.344483i | \(0.111946\pi\) |
−0.453875 | + | 0.891065i | \(0.649959\pi\) | |||||||
\(84\) | 10.1552 | − | 4.46104i | 1.10802 | − | 0.486739i | ||||
\(85\) | 0.904916 | − | 2.30569i | 0.0981519 | − | 0.250087i | ||||
\(86\) | −4.41648 | − | 19.3498i | −0.476241 | − | 2.08655i | ||||
\(87\) | −6.94710 | − | 3.83933i | −0.744808 | − | 0.411619i | ||||
\(88\) | 3.58951 | + | 1.72862i | 0.382644 | + | 0.184271i | ||||
\(89\) | 2.66570 | + | 6.79209i | 0.282564 | + | 0.719960i | 0.999734 | + | 0.0230623i | \(0.00734162\pi\) |
−0.717171 | + | 0.696898i | \(0.754563\pi\) | |||||||
\(90\) | 3.75620 | − | 10.7361i | 0.395938 | − | 1.13169i | ||||
\(91\) | 7.48101 | + | 4.87155i | 0.784223 | + | 0.510677i | ||||
\(92\) | −0.211713 | + | 0.144344i | −0.0220726 | + | 0.0150489i | ||||
\(93\) | 2.21823 | − | 2.48231i | 0.230020 | − | 0.257404i | ||||
\(94\) | 15.6871 | + | 14.5555i | 1.61800 | + | 1.50128i | ||||
\(95\) | −0.220648 | + | 2.94434i | −0.0226380 | + | 0.302083i | ||||
\(96\) | 12.1856 | + | 6.73441i | 1.24369 | + | 0.687328i | ||||
\(97\) | −2.46892 | + | 4.27630i | −0.250681 | + | 0.434192i | −0.963713 | − | 0.266939i | \(-0.913988\pi\) |
0.713033 | + | 0.701131i | \(0.247321\pi\) | |||||||
\(98\) | −10.3549 | + | 10.4584i | −1.04600 | + | 1.05646i | ||||
\(99\) | −3.50011 | − | 13.0603i | −0.351774 | − | 1.31261i | ||||
\(100\) | 4.18392 | − | 0.630624i | 0.418392 | − | 0.0630624i | ||||
\(101\) | 9.98679 | − | 4.80939i | 0.993723 | − | 0.478552i | 0.134919 | − | 0.990857i | \(-0.456922\pi\) |
0.858804 | + | 0.512305i | \(0.171208\pi\) | |||||||
\(102\) | 0.837957 | + | 4.93121i | 0.0829702 | + | 0.488262i | ||||
\(103\) | −9.22943 | + | 4.44466i | −0.909403 | + | 0.437945i | −0.829276 | − | 0.558839i | \(-0.811247\pi\) |
−0.0801269 | + | 0.996785i | \(0.525533\pi\) | |||||||
\(104\) | −0.222896 | − | 2.97434i | −0.0218567 | − | 0.291658i | ||||
\(105\) | 0.329717 | + | 8.25718i | 0.0321771 | + | 0.805819i | ||||
\(106\) | 0.994045 | − | 13.2646i | 0.0965501 | − | 1.28837i | ||||
\(107\) | 2.37102 | + | 6.04125i | 0.229215 | + | 0.584030i | 0.998493 | − | 0.0548845i | \(-0.0174791\pi\) |
−0.769278 | + | 0.638914i | \(0.779384\pi\) | |||||||
\(108\) | 2.56968 | + | 12.3116i | 0.247268 | + | 1.18469i | ||||
\(109\) | 0.455171 | − | 1.15976i | 0.0435974 | − | 0.111084i | −0.907417 | − | 0.420232i | \(-0.861949\pi\) |
0.951014 | + | 0.309148i | \(0.100044\pi\) | |||||||
\(110\) | −12.5265 | + | 11.6229i | −1.19435 | + | 1.10820i | ||||
\(111\) | 11.6844 | + | 6.45743i | 1.10904 | + | 0.612912i | ||||
\(112\) | −7.82561 | − | 1.01046i | −0.739451 | − | 0.0954796i | ||||
\(113\) | 4.12434 | + | 0.621644i | 0.387985 | + | 0.0584794i | 0.340139 | − | 0.940375i | \(-0.389526\pi\) |
0.0478468 | + | 0.998855i | \(0.484764\pi\) | |||||||
\(114\) | −2.68715 | − | 5.32267i | −0.251675 | − | 0.498513i | ||||
\(115\) | −0.0424803 | − | 0.186118i | −0.00396131 | − | 0.0173556i | ||||
\(116\) | −5.54604 | − | 9.60602i | −0.514936 | − | 0.891896i | ||||
\(117\) | −7.15748 | + | 7.15811i | −0.661710 | + | 0.661768i | ||||
\(118\) | −5.61064 | − | 24.5818i | −0.516501 | − | 2.26294i | ||||
\(119\) | −1.88329 | − | 3.10798i | −0.172641 | − | 0.284908i | ||||
\(120\) | 2.12601 | − | 1.76155i | 0.194077 | − | 0.160807i | ||||
\(121\) | −2.07245 | + | 9.08001i | −0.188405 | + | 0.825455i | ||||
\(122\) | −10.0155 | − | 25.5190i | −0.906758 | − | 2.31038i | ||||
\(123\) | −8.88853 | − | 9.22693i | −0.801452 | − | 0.831964i | ||||
\(124\) | 4.44543 | − | 1.37123i | 0.399212 | − | 0.123141i | ||||
\(125\) | −2.70783 | + | 11.8638i | −0.242195 | + | 1.06113i | ||||
\(126\) | −9.17651 | − | 13.9384i | −0.817508 | − | 1.24173i | ||||
\(127\) | 1.24334 | + | 5.44742i | 0.110328 | + | 0.483380i | 0.999659 | + | 0.0261153i | \(0.00831371\pi\) |
−0.889331 | + | 0.457265i | \(0.848829\pi\) | |||||||
\(128\) | 3.45772 | + | 5.98894i | 0.305622 | + | 0.529353i | ||||
\(129\) | −15.1058 | + | 6.25743i | −1.32999 | + | 0.550936i | ||||
\(130\) | 12.2247 | + | 3.77082i | 1.07218 | + | 0.330723i | ||||
\(131\) | 2.50852 | + | 1.20804i | 0.219171 | + | 0.105547i | 0.540248 | − | 0.841506i | \(-0.318331\pi\) |
−0.321077 | + | 0.947053i | \(0.604045\pi\) | |||||||
\(132\) | 5.23041 | − | 18.1566i | 0.455249 | − | 1.58033i | ||||
\(133\) | 3.23727 | + | 2.87855i | 0.280707 | + | 0.249602i | ||||
\(134\) | −6.42159 | − | 8.05242i | −0.554741 | − | 0.695623i | ||||
\(135\) | −9.23794 | − | 1.56896i | −0.795075 | − | 0.135035i | ||||
\(136\) | −0.443581 | + | 1.13023i | −0.0380368 | + | 0.0969162i | ||||
\(137\) | −12.4226 | − | 5.98242i | −1.06134 | − | 0.511112i | −0.180031 | − | 0.983661i | \(-0.557620\pi\) |
−0.881305 | + | 0.472549i | \(0.843334\pi\) | |||||||
\(138\) | 0.267462 | + | 0.277644i | 0.0227678 | + | 0.0236346i | ||||
\(139\) | −3.87702 | − | 2.64331i | −0.328845 | − | 0.224203i | 0.387631 | − | 0.921815i | \(-0.373294\pi\) |
−0.716476 | + | 0.697612i | \(0.754246\pi\) | |||||||
\(140\) | −5.56088 | + | 10.1210i | −0.469980 | + | 0.855384i | ||||
\(141\) | 9.65650 | − | 14.7494i | 0.813224 | − | 1.24212i | ||||
\(142\) | −24.3061 | − | 16.5716i | −2.03972 | − | 1.39066i | ||||
\(143\) | 14.5321 | − | 4.48257i | 1.21524 | − | 0.374851i | ||||
\(144\) | 2.95466 | − | 8.44513i | 0.246222 | − | 0.703761i | ||||
\(145\) | 8.17164 | − | 1.23168i | 0.678618 | − | 0.102285i | ||||
\(146\) | −4.17145 | + | 7.22516i | −0.345231 | + | 0.597958i | ||||
\(147\) | 9.92309 | + | 6.96651i | 0.818443 | + | 0.574588i | ||||
\(148\) | 9.32796 | + | 16.1565i | 0.766754 | + | 1.32806i | ||||
\(149\) | 6.47326 | + | 8.11721i | 0.530310 | + | 0.664988i | 0.972763 | − | 0.231804i | \(-0.0744628\pi\) |
−0.442452 | + | 0.896792i | \(0.645891\pi\) | |||||||
\(150\) | −1.98994 | − | 6.04690i | −0.162478 | − | 0.493727i | ||||
\(151\) | −4.07832 | + | 17.8683i | −0.331889 | + | 1.45410i | 0.483581 | + | 0.875300i | \(0.339336\pi\) |
−0.815470 | + | 0.578800i | \(0.803521\pi\) | |||||||
\(152\) | 0.108160 | − | 1.44329i | 0.00877290 | − | 0.117066i | ||||
\(153\) | 3.88933 | − | 1.36113i | 0.314433 | − | 0.110041i | ||||
\(154\) | 2.40283 | + | 24.9557i | 0.193625 | + | 2.01099i | ||||
\(155\) | −0.259012 | + | 3.45628i | −0.0208044 | + | 0.277615i | ||||
\(156\) | −13.7298 | + | 3.40537i | −1.09926 | + | 0.272648i | ||||
\(157\) | 0.434566 | − | 0.296282i | 0.0346822 | − | 0.0236459i | −0.545855 | − | 0.837880i | \(-0.683795\pi\) |
0.580537 | + | 0.814234i | \(0.302843\pi\) | |||||||
\(158\) | −0.424775 | + | 0.0640246i | −0.0337933 | + | 0.00509352i | ||||
\(159\) | −10.9103 | + | 1.02333i | −0.865242 | + | 0.0811557i | ||||
\(160\) | −14.3335 | + | 2.16043i | −1.13317 | + | 0.170797i | ||||
\(161\) | −0.254870 | − | 0.116153i | −0.0200866 | − | 0.00915412i | ||||
\(162\) | 17.6137 | − | 6.91466i | 1.38386 | − | 0.543267i | ||||
\(163\) | 17.8640 | − | 12.1795i | 1.39922 | − | 0.953972i | 0.399921 | − | 0.916550i | \(-0.369038\pi\) |
0.999300 | − | 0.0374224i | \(-0.0119147\pi\) | |||||||
\(164\) | −3.98395 | − | 17.4548i | −0.311094 | − | 1.36299i | ||||
\(165\) | 11.1685 | + | 8.56951i | 0.869468 | + | 0.667136i | ||||
\(166\) | 25.4238 | 1.97327 | ||||||||
\(167\) | 14.9192 | − | 13.8430i | 1.15449 | − | 1.07121i | 0.158000 | − | 0.987439i | \(-0.449495\pi\) |
0.996485 | − | 0.0837669i | \(-0.0266951\pi\) | |||||||
\(168\) | −0.161624 | − | 4.04759i | −0.0124696 | − | 0.312279i | ||||
\(169\) | 1.18362 | + | 1.09824i | 0.0910477 | + | 0.0844799i | ||||
\(170\) | −3.81748 | − | 3.54211i | −0.292788 | − | 0.271667i | ||||
\(171\) | −3.95205 | + | 2.91701i | −0.302221 | + | 0.223069i | ||||
\(172\) | −22.5937 | − | 3.40546i | −1.72276 | − | 0.259664i | ||||
\(173\) | 6.43489 | − | 1.98490i | 0.489236 | − | 0.150909i | −0.0403159 | − | 0.999187i | \(-0.512836\pi\) |
0.529552 | + | 0.848278i | \(0.322360\pi\) | |||||||
\(174\) | −12.8504 | + | 10.6474i | −0.974183 | + | 0.807179i | ||||
\(175\) | 2.95963 | + | 3.55410i | 0.223727 | + | 0.268665i | ||||
\(176\) | −9.85343 | + | 9.14264i | −0.742730 | + | 0.689153i | ||||
\(177\) | −19.1903 | + | 7.94936i | −1.44243 | + | 0.597510i | ||||
\(178\) | 15.3407 | 1.14983 | ||||||||
\(179\) | −9.75829 | + | 9.05437i | −0.729369 | + | 0.676755i | −0.954714 | − | 0.297524i | \(-0.903839\pi\) |
0.225346 | + | 0.974279i | \(0.427649\pi\) | |||||||
\(180\) | −9.92551 | − | 8.54083i | −0.739804 | − | 0.636596i | ||||
\(181\) | −6.46264 | + | 8.10389i | −0.480364 | + | 0.602357i | −0.961675 | − | 0.274193i | \(-0.911589\pi\) |
0.481311 | + | 0.876550i | \(0.340161\pi\) | |||||||
\(182\) | 15.2807 | − | 10.8995i | 1.13268 | − | 0.807923i | ||||
\(183\) | −19.3435 | + | 11.6562i | −1.42991 | + | 0.861649i | ||||
\(184\) | 0.0208234 | + | 0.0912335i | 0.00153512 | + | 0.00672582i | ||||
\(185\) | −13.7440 | + | 2.07158i | −1.01048 | + | 0.152305i | ||||
\(186\) | −3.15437 | − | 6.24812i | −0.231290 | − | 0.458135i | ||||
\(187\) | −6.12148 | − | 0.922664i | −0.447647 | − | 0.0674719i | ||||
\(188\) | 22.1962 | − | 10.6891i | 1.61882 | − | 0.779583i | ||||
\(189\) | −10.0539 | + | 9.37654i | −0.731312 | + | 0.682043i | ||||
\(190\) | 5.59303 | + | 2.69346i | 0.405761 | + | 0.195404i | ||||
\(191\) | 16.6425 | + | 11.3466i | 1.20421 | + | 0.821014i | 0.987867 | − | 0.155304i | \(-0.0496356\pi\) |
0.216340 | + | 0.976318i | \(0.430588\pi\) | |||||||
\(192\) | 14.5851 | − | 12.0847i | 1.05259 | − | 0.872141i | ||||
\(193\) | −0.314093 | + | 4.19129i | −0.0226089 | + | 0.301695i | 0.974424 | + | 0.224718i | \(0.0721460\pi\) |
−0.997033 | + | 0.0769775i | \(0.975473\pi\) | |||||||
\(194\) | 6.47290 | + | 8.11677i | 0.464727 | + | 0.582750i | ||||
\(195\) | 1.37539 | − | 10.4489i | 0.0984941 | − | 0.748264i | ||||
\(196\) | 6.85258 | + | 15.4955i | 0.489470 | + | 1.10682i | ||||
\(197\) | −6.01989 | −0.428899 | −0.214450 | − | 0.976735i | \(-0.568796\pi\) | ||||
−0.214450 | + | 0.976735i | \(0.568796\pi\) | |||||||
\(198\) | −28.2494 | − | 3.18168i | −2.00760 | − | 0.226113i | ||||
\(199\) | −8.79865 | − | 5.99882i | −0.623720 | − | 0.425245i | 0.209792 | − | 0.977746i | \(-0.432721\pi\) |
−0.833512 | + | 0.552501i | \(0.813674\pi\) | |||||||
\(200\) | 0.343852 | − | 1.50651i | 0.0243140 | − | 0.106527i | ||||
\(201\) | −5.65367 | + | 6.32674i | −0.398779 | + | 0.446254i | ||||
\(202\) | −1.74158 | − | 23.2398i | −0.122537 | − | 1.63515i | ||||
\(203\) | 5.83849 | − | 10.6263i | 0.409781 | − | 0.745820i | ||||
\(204\) | 5.63695 | + | 1.17602i | 0.394666 | + | 0.0823382i | ||||
\(205\) | 13.1899 | + | 1.98805i | 0.921219 | + | 0.138851i | ||||
\(206\) | 1.60951 | + | 21.4774i | 0.112140 | + | 1.49640i | ||||
\(207\) | 0.188581 | − | 0.255542i | 0.0131073 | − | 0.0177614i | ||||
\(208\) | 9.61606 | + | 2.96616i | 0.666754 | + | 0.205666i | ||||
\(209\) | 7.29711 | − | 1.09986i | 0.504751 | − | 0.0760790i | ||||
\(210\) | 16.4138 | + | 5.69723i | 1.13266 | + | 0.393146i | ||||
\(211\) | 22.9332 | + | 3.45662i | 1.57878 | + | 0.237963i | 0.879152 | − | 0.476541i | \(-0.158109\pi\) |
0.699631 | + | 0.714504i | \(0.253348\pi\) | |||||||
\(212\) | −13.7969 | − | 6.64423i | −0.947574 | − | 0.456328i | ||||
\(213\) | −10.1044 | + | 22.0277i | −0.692343 | + | 1.50931i | ||||
\(214\) | 13.6448 | 0.932743 | ||||||||
\(215\) | 8.51159 | − | 14.7425i | 0.580486 | − | 1.00543i | ||||
\(216\) | 4.52835 | + | 0.769091i | 0.308115 | + | 0.0523300i | ||||
\(217\) | 3.80014 | + | 3.37904i | 0.257970 | + | 0.229384i | ||||
\(218\) | −1.92019 | − | 1.78167i | −0.130051 | − | 0.120670i | ||||
\(219\) | 6.44376 | + | 2.39077i | 0.435429 | + | 0.161553i | ||||
\(220\) | 7.18709 | + | 18.3124i | 0.484553 | + | 1.23462i | ||||
\(221\) | 1.69322 | + | 4.31425i | 0.113898 | + | 0.290208i | ||||
\(222\) | 21.6132 | − | 17.9081i | 1.45058 | − | 1.20191i | ||||
\(223\) | 4.01112 | + | 3.72178i | 0.268604 | + | 0.249229i | 0.802962 | − | 0.596030i | \(-0.203256\pi\) |
−0.534358 | + | 0.845258i | \(0.679446\pi\) | |||||||
\(224\) | −10.2411 | + | 18.6392i | −0.684259 | + | 1.24538i | ||||
\(225\) | −4.63647 | + | 2.45071i | −0.309098 | + | 0.163380i | ||||
\(226\) | 4.38465 | − | 7.59444i | 0.291663 | − | 0.505175i | ||||
\(227\) | −15.7596 | −1.04600 | −0.523002 | − | 0.852332i | \(-0.675188\pi\) | ||||
−0.523002 | + | 0.852332i | \(0.675188\pi\) | |||||||
\(228\) | −6.83421 | + | 0.641018i | −0.452607 | + | 0.0424524i | ||||
\(229\) | −19.2223 | − | 9.25696i | −1.27024 | − | 0.611717i | −0.327379 | − | 0.944893i | \(-0.606166\pi\) |
−0.942865 | + | 0.333176i | \(0.891880\pi\) | |||||||
\(230\) | −0.396891 | − | 0.0598217i | −0.0261702 | − | 0.00394453i | ||||
\(231\) | 19.9367 | − | 5.39568i | 1.31174 | − | 0.355010i | ||||
\(232\) | −4.00566 | + | 0.603756i | −0.262985 | + | 0.0396385i | ||||
\(233\) | −7.33117 | − | 2.26137i | −0.480281 | − | 0.148147i | 0.0451554 | − | 0.998980i | \(-0.485622\pi\) |
−0.525436 | + | 0.850833i | \(0.676098\pi\) | |||||||
\(234\) | 8.51165 | + | 19.5066i | 0.556424 | + | 1.27518i | ||||
\(235\) | 1.37163 | + | 18.3032i | 0.0894755 | + | 1.19397i | ||||
\(236\) | −28.7028 | − | 4.32625i | −1.86839 | − | 0.281615i | ||||
\(237\) | 0.110623 | + | 0.336153i | 0.00718571 | + | 0.0218355i | ||||
\(238\) | −7.52937 | + | 1.29857i | −0.488056 | + | 0.0841739i | ||||
\(239\) | 0.709131 | + | 9.46270i | 0.0458699 | + | 0.612091i | 0.972014 | + | 0.234922i | \(0.0754835\pi\) |
−0.926144 | + | 0.377169i | \(0.876897\pi\) | |||||||
\(240\) | 2.91184 | + | 8.84832i | 0.187959 | + | 0.571157i | ||||
\(241\) | −4.51402 | + | 19.7772i | −0.290774 | + | 1.27396i | 0.592678 | + | 0.805440i | \(0.298071\pi\) |
−0.883451 | + | 0.468523i | \(0.844786\pi\) | |||||||
\(242\) | 16.1790 | + | 11.0307i | 1.04003 | + | 0.709078i | ||||
\(243\) | −8.04677 | − | 13.3510i | −0.516200 | − | 0.856468i | ||||
\(244\) | −31.5598 | −2.02041 | ||||||||
\(245\) | −12.6118 | + | 0.534752i | −0.805737 | + | 0.0341641i | ||||
\(246\) | −24.8860 | + | 10.3087i | −1.58667 | + | 0.657261i | ||||
\(247\) | −3.44460 | − | 4.31939i | −0.219175 | − | 0.274836i | ||||
\(248\) | 0.126965 | − | 1.69424i | 0.00806231 | − | 0.107584i | ||||
\(249\) | −3.50878 | − | 20.6484i | −0.222360 | − | 1.30854i | ||||
\(250\) | 21.1392 | + | 14.4125i | 1.33696 | + | 0.911524i | ||||
\(251\) | −20.3396 | − | 9.79503i | −1.28382 | − | 0.618257i | −0.337453 | − | 0.941342i | \(-0.609566\pi\) |
−0.946370 | + | 0.323086i | \(0.895280\pi\) | |||||||
\(252\) | −18.7966 | + | 3.97161i | −1.18408 | + | 0.250188i | ||||
\(253\) | −0.429883 | + | 0.207021i | −0.0270265 | + | 0.0130153i | ||||
\(254\) | 11.6164 | + | 1.75090i | 0.728880 | + | 0.109861i | ||||
\(255\) | −2.34993 | + | 3.58929i | −0.147159 | + | 0.224770i | ||||
\(256\) | −7.24980 | + | 1.09273i | −0.453113 | + | 0.0682957i | ||||
\(257\) | −3.33711 | − | 14.6208i | −0.208163 | − | 0.912022i | −0.965788 | − | 0.259332i | \(-0.916498\pi\) |
0.757625 | − | 0.652690i | \(-0.226360\pi\) | |||||||
\(258\) | 0.643563 | + | 34.3708i | 0.0400665 | + | 2.13983i | ||||
\(259\) | −9.81984 | + | 17.8725i | −0.610175 | + | 1.11055i | ||||
\(260\) | 9.18258 | − | 11.5146i | 0.569479 | − | 0.714105i | ||||
\(261\) | 10.4210 | + | 8.96720i | 0.645044 | + | 0.555056i | ||||
\(262\) | 4.29117 | − | 3.98162i | 0.265109 | − | 0.245985i | ||||
\(263\) | −18.2479 | −1.12521 | −0.562606 | − | 0.826725i | \(-0.690201\pi\) | ||||
−0.562606 | + | 0.826725i | \(0.690201\pi\) | |||||||
\(264\) | −5.47470 | − | 4.20070i | −0.336945 | − | 0.258535i | ||||
\(265\) | 8.36336 | − | 7.76006i | 0.513757 | − | 0.476697i | ||||
\(266\) | 8.12036 | − | 4.12473i | 0.497891 | − | 0.252903i | ||||
\(267\) | −2.11719 | − | 12.4592i | −0.129570 | − | 0.762493i | ||||
\(268\) | −11.3302 | + | 3.49491i | −0.692103 | + | 0.213485i | ||||
\(269\) | 30.6114 | + | 4.61392i | 1.86641 | + | 0.281316i | 0.982488 | − | 0.186324i | \(-0.0596574\pi\) |
0.883919 | + | 0.467640i | \(0.154896\pi\) | |||||||
\(270\) | −10.1666 | + | 16.8748i | −0.618718 | + | 1.02697i | ||||
\(271\) | −1.31490 | − | 1.22005i | −0.0798743 | − | 0.0741125i | 0.639225 | − | 0.769019i | \(-0.279255\pi\) |
−0.719100 | + | 0.694907i | \(0.755446\pi\) | |||||||
\(272\) | −3.00287 | − | 2.78625i | −0.182076 | − | 0.168941i | ||||
\(273\) | −10.9611 | − | 10.9062i | −0.663398 | − | 0.660076i | ||||
\(274\) | −21.2506 | + | 19.7176i | −1.28379 | + | 1.19119i | ||||
\(275\) | 7.87880 | 0.475109 | ||||||||
\(276\) | 0.410029 | − | 0.169850i | 0.0246808 | − | 0.0102238i | ||||
\(277\) | −6.32760 | − | 27.7230i | −0.380189 | − | 1.66572i | −0.696880 | − | 0.717188i | \(-0.745429\pi\) |
0.316691 | − | 0.948529i | \(-0.397428\pi\) | |||||||
\(278\) | −8.15138 | + | 5.55752i | −0.488887 | + | 0.333318i | ||||
\(279\) | −4.63919 | + | 3.42420i | −0.277741 | + | 0.205001i | ||||
\(280\) | 2.69881 | + | 3.24089i | 0.161285 | + | 0.193680i | ||||
\(281\) | 15.7405 | − | 2.37250i | 0.939000 | − | 0.141531i | 0.338329 | − | 0.941028i | \(-0.390138\pi\) |
0.600671 | + | 0.799496i | \(0.294900\pi\) | |||||||
\(282\) | −21.4493 | − | 30.2285i | −1.27729 | − | 1.80008i | ||||
\(283\) | −25.5892 | + | 3.85695i | −1.52112 | + | 0.229272i | −0.855808 | − | 0.517294i | \(-0.826939\pi\) |
−0.665311 | + | 0.746566i | \(0.731701\pi\) | |||||||
\(284\) | −27.9818 | + | 19.0777i | −1.66041 | + | 1.13205i | ||||
\(285\) | 1.41564 | − | 4.91421i | 0.0838554 | − | 0.291093i | ||||
\(286\) | 2.38943 | − | 31.8847i | 0.141290 | − | 1.88538i | ||||
\(287\) | 14.0608 | − | 13.6122i | 0.829986 | − | 0.803501i | ||||
\(288\) | −18.2791 | − | 15.7290i | −1.07710 | − | 0.926841i | ||||
\(289\) | −1.12942 | + | 15.0711i | −0.0664367 | + | 0.886537i | ||||
\(290\) | 3.86626 | − | 16.9392i | 0.227034 | − | 0.994703i | ||||
\(291\) | 5.69885 | − | 6.37730i | 0.334073 | − | 0.373844i | ||||
\(292\) | 5.98835 | + | 7.50915i | 0.350442 | + | 0.439440i | ||||
\(293\) | −2.43066 | − | 4.21003i | −0.142001 | − | 0.245953i | 0.786249 | − | 0.617910i | \(-0.212020\pi\) |
−0.928250 | + | 0.371957i | \(0.878687\pi\) | |||||||
\(294\) | 21.2566 | − | 14.0698i | 1.23971 | − | 0.820568i | ||||
\(295\) | 10.8130 | − | 18.7287i | 0.629558 | − | 1.09043i | ||||
\(296\) | 6.73719 | − | 1.01547i | 0.391591 | − | 0.0590228i | ||||
\(297\) | 1.31467 | + | 23.3824i | 0.0762851 | + | 1.35678i | ||||
\(298\) | 20.8588 | − | 6.43410i | 1.20832 | − | 0.372717i | ||||
\(299\) | 0.295139 | + | 0.201223i | 0.0170684 | + | 0.0116370i | ||||
\(300\) | −7.31709 | − | 0.410758i | −0.422453 | − | 0.0237151i | ||||
\(301\) | −9.61525 | − | 23.0509i | −0.554214 | − | 1.32863i | ||||
\(302\) | 31.8382 | + | 21.7069i | 1.83208 | + | 1.24909i | ||||
\(303\) | −18.6343 | + | 4.62182i | −1.07051 | + | 0.265517i | ||||
\(304\) | 4.39953 | + | 2.11870i | 0.252330 | + | 0.121516i | ||||
\(305\) | 8.59027 | − | 21.8877i | 0.491878 | − | 1.25328i | ||||
\(306\) | 0.323560 | − | 8.65750i | 0.0184967 | − | 0.494916i | ||||
\(307\) | −13.3987 | − | 16.8015i | −0.764706 | − | 0.958911i | 0.235209 | − | 0.971945i | \(-0.424423\pi\) |
−0.999915 | + | 0.0130335i | \(0.995851\pi\) | |||||||
\(308\) | 27.7544 | + | 7.92117i | 1.58145 | + | 0.451350i | ||||
\(309\) | 17.2212 | − | 4.27132i | 0.979677 | − | 0.242987i | ||||
\(310\) | 6.56549 | + | 3.16177i | 0.372895 | + | 0.179577i | ||||
\(311\) | −15.7955 | − | 4.87225i | −0.895679 | − | 0.276280i | −0.187459 | − | 0.982272i | \(-0.560025\pi\) |
−0.708220 | + | 0.705992i | \(0.750501\pi\) | |||||||
\(312\) | −0.674206 | + | 5.12197i | −0.0381694 | + | 0.289974i | ||||
\(313\) | −7.37041 | − | 12.7659i | −0.416600 | − | 0.721572i | 0.578995 | − | 0.815331i | \(-0.303445\pi\) |
−0.995595 | + | 0.0937588i | \(0.970112\pi\) | |||||||
\(314\) | −0.246067 | − | 1.07809i | −0.0138864 | − | 0.0608402i | ||||
\(315\) | 2.36183 | − | 14.1171i | 0.133074 | − | 0.795406i | ||||
\(316\) | −0.110045 | + | 0.482138i | −0.00619050 | + | 0.0271224i | ||||
\(317\) | 8.47286 | − | 2.61353i | 0.475883 | − | 0.146791i | −0.0475295 | − | 0.998870i | \(-0.515135\pi\) |
0.523413 | + | 0.852079i | \(0.324659\pi\) | |||||||
\(318\) | −6.37763 | + | 22.1391i | −0.357640 | + | 1.24150i | ||||
\(319\) | −7.54588 | − | 19.2266i | −0.422488 | − | 1.07648i | ||||
\(320\) | −4.38817 | + | 19.2258i | −0.245306 | + | 1.07476i | ||||
\(321\) | −1.88315 | − | 11.0819i | −0.105107 | − | 0.618533i | ||||
\(322\) | −0.423100 | + | 0.409599i | −0.0235784 | + | 0.0228261i | ||||
\(323\) | 0.500436 | + | 2.19255i | 0.0278450 | + | 0.121997i | ||||
\(324\) | −0.00191551 | − | 21.7839i | −0.000106417 | − | 1.21022i | ||||
\(325\) | −2.94924 | − | 5.10824i | −0.163595 | − | 0.283354i | ||||
\(326\) | −10.1153 | − | 44.3179i | −0.560233 | − | 2.45454i | ||||
\(327\) | −1.18201 | + | 1.80541i | −0.0653654 | + | 0.0998392i | ||||
\(328\) | −6.46554 | − | 0.974524i | −0.357000 | − | 0.0538091i | ||||
\(329\) | 22.5663 | + | 14.6950i | 1.24412 | + | 0.810159i | ||||
\(330\) | 25.3506 | − | 15.2760i | 1.39550 | − | 0.840915i | ||||
\(331\) | −25.1607 | + | 23.3457i | −1.38296 | + | 1.28320i | −0.465675 | + | 0.884956i | \(0.654188\pi\) |
−0.917281 | + | 0.398240i | \(0.869621\pi\) | |||||||
\(332\) | 10.6930 | − | 27.2454i | 0.586856 | − | 1.49528i | ||||
\(333\) | −17.5273 | − | 15.0821i | −0.960487 | − | 0.826493i | ||||
\(334\) | −15.6330 | − | 39.8323i | −0.855401 | − | 2.17953i | ||||
\(335\) | 0.660153 | − | 8.80912i | 0.0360680 | − | 0.481294i | ||||
\(336\) | 12.9112 | + | 4.48150i | 0.704366 | + | 0.244486i | ||||
\(337\) | 1.03783 | + | 13.8489i | 0.0565344 | + | 0.754399i | 0.951379 | + | 0.308022i | \(0.0996670\pi\) |
−0.894845 | + | 0.446377i | \(0.852714\pi\) | |||||||
\(338\) | 3.05858 | − | 1.47293i | 0.166365 | − | 0.0801171i | ||||
\(339\) | −6.77310 | − | 2.51296i | −0.367865 | − | 0.136485i | ||||
\(340\) | −5.40149 | + | 2.60122i | −0.292937 | + | 0.141071i | ||||
\(341\) | 8.56586 | − | 1.29110i | 0.463868 | − | 0.0699168i | ||||
\(342\) | 2.67336 | + | 9.97536i | 0.144559 | + | 0.539406i | ||||
\(343\) | −10.6041 | + | 15.1840i | −0.572568 | + | 0.819857i | ||||
\(344\) | −4.17230 | + | 7.22664i | −0.224955 | + | 0.389634i | ||||
\(345\) | 0.00619017 | + | 0.330599i | 0.000333268 | + | 0.0177988i | ||||
\(346\) | 1.05805 | − | 14.1187i | 0.0568810 | − | 0.759025i | ||||
\(347\) | −12.8419 | − | 11.9156i | −0.689391 | − | 0.639662i | 0.255590 | − | 0.966785i | \(-0.417730\pi\) |
−0.944982 | + | 0.327123i | \(0.893921\pi\) | |||||||
\(348\) | 6.00554 | + | 18.2493i | 0.321931 | + | 0.978263i | ||||
\(349\) | −18.6959 | + | 12.7467i | −1.00077 | + | 0.682314i | −0.948650 | − | 0.316327i | \(-0.897550\pi\) |
−0.0521201 | + | 0.998641i | \(0.516598\pi\) | |||||||
\(350\) | 9.22927 | − | 3.06245i | 0.493325 | − | 0.163695i | ||||
\(351\) | 14.6679 | − | 9.60503i | 0.782916 | − | 0.512678i | ||||
\(352\) | 13.2359 | + | 33.7246i | 0.705477 | + | 1.79753i | ||||
\(353\) | −9.75151 | − | 4.69608i | −0.519021 | − | 0.249947i | 0.155985 | − | 0.987759i | \(-0.450145\pi\) |
−0.675006 | + | 0.737812i | \(0.735859\pi\) | |||||||
\(354\) | 0.817575 | + | 43.6642i | 0.0434536 | + | 2.32073i | ||||
\(355\) | −5.61456 | − | 24.5990i | −0.297990 | − | 1.30558i | ||||
\(356\) | 6.45216 | − | 16.4398i | 0.341964 | − | 0.871309i | ||||
\(357\) | 2.09380 | + | 5.93590i | 0.110816 | + | 0.314161i | ||||
\(358\) | 10.2252 | + | 26.0533i | 0.540416 | + | 1.37696i | ||||
\(359\) | 27.7773 | − | 18.9382i | 1.46603 | − | 0.999521i | 0.473073 | − | 0.881023i | \(-0.343145\pi\) |
0.992954 | − | 0.118497i | \(-0.0378077\pi\) | |||||||
\(360\) | −4.22787 | + | 2.23473i | −0.222828 | + | 0.117781i | ||||
\(361\) | 8.15958 | + | 14.1328i | 0.429451 | + | 0.743832i | ||||
\(362\) | 10.8964 | + | 18.8731i | 0.572702 | + | 0.991949i | ||||
\(363\) | 6.72587 | − | 14.6624i | 0.353017 | − | 0.769579i | ||||
\(364\) | −5.25349 | − | 20.9597i | −0.275357 | − | 1.09859i | ||||
\(365\) | −6.83780 | + | 2.10918i | −0.357907 | + | 0.110400i | ||||
\(366\) | 7.95464 | + | 46.8114i | 0.415796 | + | 2.44687i | ||||
\(367\) | −19.5843 | + | 24.5580i | −1.02229 | + | 1.28192i | −0.0634485 | + | 0.997985i | \(0.520210\pi\) |
−0.958845 | + | 0.283930i | \(0.908362\pi\) | |||||||
\(368\) | −0.312198 | − | 0.0470563i | −0.0162745 | − | 0.00245298i | ||||
\(369\) | 11.8070 | + | 18.7889i | 0.614647 | + | 0.978110i | ||||
\(370\) | −6.50272 | + | 28.4903i | −0.338060 | + | 1.48114i | ||||
\(371\) | −1.60426 | − | 16.6618i | −0.0832891 | − | 0.865040i | ||||
\(372\) | −8.02249 | + | 0.752472i | −0.415947 | + | 0.0390139i | ||||
\(373\) | 13.1516 | 0.680964 | 0.340482 | − | 0.940251i | \(-0.389410\pi\) | ||||
0.340482 | + | 0.940251i | \(0.389410\pi\) | |||||||
\(374\) | −6.50784 | + | 11.2719i | −0.336512 | + | 0.582856i | ||||
\(375\) | 8.78790 | − | 19.1577i | 0.453805 | − | 0.989298i | ||||
\(376\) | −0.672362 | − | 8.97205i | −0.0346744 | − | 0.462698i | ||||
\(377\) | −9.64099 | + | 12.0894i | −0.496536 | + | 0.622637i | ||||
\(378\) | 10.6286 | + | 26.8793i | 0.546678 | + | 1.38252i | ||||
\(379\) | −2.29196 | − | 2.87403i | −0.117730 | − | 0.147629i | 0.719474 | − | 0.694519i | \(-0.244383\pi\) |
−0.837204 | + | 0.546890i | \(0.815811\pi\) | |||||||
\(380\) | 5.23881 | − | 4.86091i | 0.268745 | − | 0.249359i | ||||
\(381\) | −0.181178 | − | 9.67615i | −0.00928201 | − | 0.495724i | ||||
\(382\) | 34.9905 | − | 23.8561i | 1.79027 | − | 1.22059i | ||||
\(383\) | −7.26839 | + | 9.11428i | −0.371398 | + | 0.465718i | −0.932048 | − | 0.362335i | \(-0.881980\pi\) |
0.560650 | + | 0.828053i | \(0.310551\pi\) | |||||||
\(384\) | −3.74420 | − | 11.3776i | −0.191070 | − | 0.580613i | ||||
\(385\) | −13.0480 | + | 17.0924i | −0.664990 | + | 0.871110i | ||||
\(386\) | 7.96170 | + | 3.83415i | 0.405240 | + | 0.195153i | ||||
\(387\) | 27.8261 | − | 5.26625i | 1.41448 | − | 0.267698i | ||||
\(388\) | 11.4208 | − | 3.52284i | 0.579801 | − | 0.178845i | ||||
\(389\) | 4.46359 | − | 2.14955i | 0.226313 | − | 0.108987i | −0.317292 | − | 0.948328i | \(-0.602773\pi\) |
0.543605 | + | 0.839341i | \(0.317059\pi\) | |||||||
\(390\) | −19.3936 | − | 10.7179i | −0.982034 | − | 0.542723i | ||||
\(391\) | −0.0727043 | − | 0.125928i | −0.00367681 | − | 0.00636843i | ||||
\(392\) | 6.18218 | − | 0.262131i | 0.312247 | − | 0.0132396i | ||||
\(393\) | −3.82598 | − | 2.93564i | −0.192995 | − | 0.148084i | ||||
\(394\) | −4.62402 | + | 11.7818i | −0.232955 | + | 0.593559i | ||||
\(395\) | −0.304424 | − | 0.207553i | −0.0153172 | − | 0.0104431i | ||||
\(396\) | −15.2911 | + | 28.9352i | −0.768406 | + | 1.45405i | ||||
\(397\) | −0.953435 | + | 12.7227i | −0.0478515 | + | 0.638534i | 0.920788 | + | 0.390064i | \(0.127547\pi\) |
−0.968639 | + | 0.248471i | \(0.920072\pi\) | |||||||
\(398\) | −18.4990 | + | 12.6124i | −0.927272 | + | 0.632204i | ||||
\(399\) | −4.47068 | − | 6.02585i | −0.223814 | − | 0.301670i | ||||
\(400\) | 4.30758 | + | 2.93686i | 0.215379 | + | 0.146843i | ||||
\(401\) | −3.14767 | + | 3.94705i | −0.157187 | + | 0.197106i | −0.854189 | − | 0.519963i | \(-0.825946\pi\) |
0.697002 | + | 0.717070i | \(0.254517\pi\) | |||||||
\(402\) | 8.03964 | + | 15.9248i | 0.400981 | + | 0.794256i | ||||
\(403\) | −4.04352 | − | 5.07041i | −0.201422 | − | 0.252575i | ||||
\(404\) | −25.6374 | − | 7.90809i | −1.27551 | − | 0.393442i | ||||
\(405\) | 15.1083 | + | 5.92805i | 0.750739 | + | 0.294567i | ||||
\(406\) | −16.3126 | − | 19.5891i | −0.809579 | − | 0.972190i | ||||
\(407\) | 12.6915 | + | 32.3375i | 0.629096 | + | 1.60291i | ||||
\(408\) | 1.15192 | − | 1.75944i | 0.0570283 | − | 0.0871052i | ||||
\(409\) | −3.58038 | − | 1.10440i | −0.177039 | − | 0.0546092i | 0.204968 | − | 0.978769i | \(-0.434291\pi\) |
−0.382007 | + | 0.924159i | \(0.624767\pi\) | |||||||
\(410\) | 14.0223 | − | 24.2874i | 0.692514 | − | 1.19947i | ||||
\(411\) | 18.9469 | + | 14.5378i | 0.934581 | + | 0.717096i | ||||
\(412\) | 23.6931 | + | 7.30837i | 1.16728 | + | 0.360057i | ||||
\(413\) | −12.2151 | − | 29.2836i | −0.601065 | − | 1.44095i | ||||
\(414\) | −0.355280 | − | 0.565369i | −0.0174610 | − | 0.0277864i | ||||
\(415\) | 15.9849 | + | 14.8319i | 0.784670 | + | 0.728067i | ||||
\(416\) | 16.9109 | − | 21.2056i | 0.829124 | − | 1.03969i | ||||
\(417\) | 5.63863 | + | 5.85330i | 0.276125 | + | 0.286637i | ||||
\(418\) | 3.45249 | − | 15.1263i | 0.168867 | − | 0.739853i | ||||
\(419\) | 9.99297 | − | 3.08242i | 0.488189 | − | 0.150586i | −0.0408821 | − | 0.999164i | \(-0.513017\pi\) |
0.529071 | + | 0.848578i | \(0.322541\pi\) | |||||||
\(420\) | 13.0089 | − | 15.1936i | 0.634770 | − | 0.741371i | ||||
\(421\) | 25.0342 | + | 7.72202i | 1.22009 | + | 0.376348i | 0.836918 | − | 0.547328i | \(-0.184355\pi\) |
0.383173 | + | 0.923676i | \(0.374831\pi\) | |||||||
\(422\) | 24.3806 | − | 42.2285i | 1.18683 | − | 2.05565i | ||||
\(423\) | −21.5904 | + | 21.5923i | −1.04976 | + | 1.04986i | ||||
\(424\) | −4.09964 | + | 3.80391i | −0.199096 | + | 0.184734i | ||||
\(425\) | 0.179434 | + | 2.39438i | 0.00870382 | + | 0.116144i | ||||
\(426\) | 35.3500 | + | 36.6958i | 1.71271 | + | 1.77792i | ||||
\(427\) | −17.8779 | − | 29.5037i | −0.865172 | − | 1.42778i | ||||
\(428\) | 5.73890 | − | 14.6225i | 0.277400 | − | 0.706804i | ||||
\(429\) | −26.2255 | + | 2.45983i | −1.26618 | + | 0.118762i | ||||
\(430\) | −22.3153 | − | 27.9825i | −1.07614 | − | 1.34944i | ||||
\(431\) | 0.861204 | + | 11.4920i | 0.0414827 | + | 0.553549i | 0.978766 | + | 0.204980i | \(0.0657131\pi\) |
−0.937283 | + | 0.348568i | \(0.886668\pi\) | |||||||
\(432\) | −7.99712 | + | 13.2739i | −0.384761 | + | 0.638641i | ||||
\(433\) | 35.5396 | − | 17.1150i | 1.70793 | − | 0.822494i | 0.715648 | − | 0.698461i | \(-0.246131\pi\) |
0.992278 | − | 0.124033i | \(-0.0395829\pi\) | |||||||
\(434\) | 9.53226 | − | 4.84190i | 0.457563 | − | 0.232419i | ||||
\(435\) | −14.2911 | − | 0.802254i | −0.685204 | − | 0.0384651i | ||||
\(436\) | −2.71694 | + | 1.30841i | −0.130118 | + | 0.0626613i | ||||
\(437\) | 0.127063 | + | 0.117897i | 0.00607825 | + | 0.00563979i | ||||
\(438\) | 9.62868 | − | 10.7750i | 0.460076 | − | 0.514848i | ||||
\(439\) | 0.834573 | − | 2.12646i | 0.0398320 | − | 0.101490i | −0.909574 | − | 0.415543i | \(-0.863592\pi\) |
0.949406 | + | 0.314053i | \(0.101687\pi\) | |||||||
\(440\) | 7.18446 | 0.342506 | ||||||||
\(441\) | −14.3607 | − | 15.3222i | −0.683844 | − | 0.729628i | ||||
\(442\) | 9.74423 | 0.463486 | ||||||||
\(443\) | −11.0119 | + | 28.0579i | −0.523192 | + | 1.33307i | 0.388216 | + | 0.921568i | \(0.373091\pi\) |
−0.911408 | + | 0.411503i | \(0.865004\pi\) | |||||||
\(444\) | −10.1008 | − | 30.6937i | −0.479363 | − | 1.45666i | ||||
\(445\) | 9.64530 | + | 8.94953i | 0.457231 | + | 0.424248i | ||||
\(446\) | 10.3651 | − | 4.99157i | 0.490802 | − | 0.236358i | ||||
\(447\) | −8.10434 | − | 16.0529i | −0.383322 | − | 0.759277i | ||||
\(448\) | 18.5146 | + | 22.2335i | 0.874734 | + | 1.05043i | ||||
\(449\) | 4.14338 | − | 1.99535i | 0.195538 | − | 0.0941662i | −0.333552 | − | 0.942732i | \(-0.608247\pi\) |
0.529091 | + | 0.848565i | \(0.322533\pi\) | |||||||
\(450\) | 1.23501 | + | 10.9567i | 0.0582190 | + | 0.516504i | ||||
\(451\) | −2.49137 | − | 33.2450i | −0.117314 | − | 1.56545i | ||||
\(452\) | −6.29442 | − | 7.89295i | −0.296065 | − | 0.371253i | ||||
\(453\) | 13.2356 | − | 28.8538i | 0.621865 | − | 1.35567i | ||||
\(454\) | −12.1053 | + | 30.8439i | −0.568132 | + | 1.44758i | ||||
\(455\) | 15.9661 | + | 2.06159i | 0.748504 | + | 0.0966486i | ||||
\(456\) | −0.693935 | + | 2.40890i | −0.0324965 | + | 0.112807i | ||||
\(457\) | 2.47200 | + | 32.9865i | 0.115635 | + | 1.54304i | 0.689616 | + | 0.724176i | \(0.257779\pi\) |
−0.573980 | + | 0.818869i | \(0.694601\pi\) | |||||||
\(458\) | −32.8823 | + | 30.5103i | −1.53649 | + | 1.42565i | ||||
\(459\) | −7.07601 | + | 0.932049i | −0.330280 | + | 0.0435043i | ||||
\(460\) | −0.231036 | + | 0.400167i | −0.0107721 | + | 0.0186579i | ||||
\(461\) | −12.3810 | − | 3.81903i | −0.576640 | − | 0.177870i | −0.00730199 | − | 0.999973i | \(-0.502324\pi\) |
−0.569338 | + | 0.822103i | \(0.692801\pi\) | |||||||
\(462\) | 4.75368 | − | 43.1635i | 0.221161 | − | 2.00815i | ||||
\(463\) | −17.9845 | + | 5.54747i | −0.835809 | + | 0.257813i | −0.682977 | − | 0.730440i | \(-0.739315\pi\) |
−0.152831 | + | 0.988252i | \(0.548839\pi\) | |||||||
\(464\) | 3.04123 | − | 13.3245i | 0.141186 | − | 0.618575i | ||||
\(465\) | 1.66178 | − | 5.76865i | 0.0770633 | − | 0.267515i | ||||
\(466\) | −10.0571 | + | 12.6112i | −0.465885 | + | 0.584201i | ||||
\(467\) | 25.9359 | + | 24.0650i | 1.20017 | + | 1.11360i | 0.990740 | + | 0.135774i | \(0.0433520\pi\) |
0.209432 | + | 0.977823i | \(0.432838\pi\) | |||||||
\(468\) | 24.4841 | − | 0.917208i | 1.13178 | − | 0.0423979i | ||||
\(469\) | −9.68552 | − | 8.61227i | −0.447236 | − | 0.397678i | ||||
\(470\) | 36.8756 | + | 11.3746i | 1.70094 | + | 0.524672i | ||||
\(471\) | −0.841632 | + | 0.348637i | −0.0387804 | + | 0.0160644i | ||||
\(472\) | −5.30044 | + | 9.18063i | −0.243973 | + | 0.422573i | ||||
\(473\) | −40.6564 | − | 12.5408i | −1.86938 | − | 0.576628i | ||||
\(474\) | 0.742873 | + | 0.0417025i | 0.0341213 | + | 0.00191546i | ||||
\(475\) | −1.04569 | − | 2.66437i | −0.0479794 | − | 0.122250i | ||||
\(476\) | −1.77517 | + | 8.61499i | −0.0813648 | + | 0.394868i | ||||
\(477\) | 18.8609 | + | 2.12427i | 0.863580 | + | 0.0972636i | ||||
\(478\) | 19.0646 | + | 5.88065i | 0.871994 | + | 0.268975i | ||||
\(479\) | 4.96218 | + | 6.22238i | 0.226728 | + | 0.284308i | 0.882163 | − | 0.470943i | \(-0.156086\pi\) |
−0.655436 | + | 0.755251i | \(0.727515\pi\) | |||||||
\(480\) | 25.0674 | + | 1.40720i | 1.14416 | + | 0.0642297i | ||||
\(481\) | 16.2153 | − | 20.3334i | 0.739355 | − | 0.927122i | ||||
\(482\) | 35.2396 | + | 24.0259i | 1.60512 | + | 1.09435i | ||||
\(483\) | 0.391056 | + | 0.287099i | 0.0177937 | + | 0.0130635i | ||||
\(484\) | 18.6257 | − | 12.6988i | 0.846624 | − | 0.577218i | ||||
\(485\) | −0.665428 | + | 8.87952i | −0.0302155 | + | 0.403198i | ||||
\(486\) | −32.3108 | + | 5.49348i | −1.46565 | + | 0.249189i | ||||
\(487\) | 23.4143 | + | 15.9636i | 1.06101 | + | 0.723381i | 0.962370 | − | 0.271743i | \(-0.0875999\pi\) |
0.0986352 | + | 0.995124i | \(0.468552\pi\) | |||||||
\(488\) | −4.21087 | + | 10.7291i | −0.190617 | + | 0.485685i | ||||
\(489\) | −34.5976 | + | 14.3317i | −1.56456 | + | 0.648102i | ||||
\(490\) | −8.64081 | + | 25.0939i | −0.390352 | + | 1.13362i | ||||
\(491\) | −20.2726 | − | 35.1131i | −0.914889 | − | 1.58463i | −0.807064 | − | 0.590464i | \(-0.798945\pi\) |
−0.107825 | − | 0.994170i | \(-0.534389\pi\) | |||||||
\(492\) | 0.580536 | + | 31.0047i | 0.0261726 | + | 1.39780i | ||||
\(493\) | 5.67114 | − | 2.73108i | 0.255415 | − | 0.123002i | ||||
\(494\) | −11.0996 | + | 3.42376i | −0.499393 | + | 0.154042i | ||||
\(495\) | −15.9054 | − | 18.4807i | −0.714892 | − | 0.830646i | ||||
\(496\) | 5.16448 | + | 2.48708i | 0.231892 | + | 0.111673i | ||||
\(497\) | −33.6858 | − | 15.3517i | −1.51102 | − | 0.688619i | ||||
\(498\) | −43.1072 | − | 8.99336i | −1.93168 | − | 0.403002i | ||||
\(499\) | −19.7337 | + | 24.7452i | −0.883400 | + | 1.10775i | 0.110101 | + | 0.993920i | \(0.464883\pi\) |
−0.993500 | + | 0.113828i | \(0.963689\pi\) | |||||||
\(500\) | 24.3360 | − | 16.5920i | 1.08834 | − | 0.742017i | ||||
\(501\) | −30.1930 | + | 18.1940i | −1.34893 | + | 0.812847i | ||||
\(502\) | −34.7936 | + | 32.2838i | −1.55292 | + | 1.44089i | ||||
\(503\) | 5.69036 | + | 7.13548i | 0.253720 | + | 0.318155i | 0.892337 | − | 0.451370i | \(-0.149064\pi\) |
−0.638617 | + | 0.769525i | \(0.720493\pi\) | |||||||
\(504\) | −1.15774 | + | 6.92005i | −0.0515701 | + | 0.308243i | ||||
\(505\) | 12.4627 | − | 15.6278i | 0.554585 | − | 0.695428i | ||||
\(506\) | 0.0749668 | + | 1.00036i | 0.00333268 | + | 0.0444715i | ||||
\(507\) | −1.61839 | − | 2.28080i | −0.0718753 | − | 0.101294i | ||||
\(508\) | 6.76211 | − | 11.7123i | 0.300020 | − | 0.519650i | ||||
\(509\) | −4.57962 | −0.202988 | −0.101494 | − | 0.994836i | \(-0.532362\pi\) | ||||
−0.101494 | + | 0.994836i | \(0.532362\pi\) | |||||||
\(510\) | 5.21974 | + | 7.35619i | 0.231134 | + | 0.325737i | ||||
\(511\) | −3.62767 | + | 9.85198i | −0.160479 | + | 0.435826i | ||||
\(512\) | −6.50777 | + | 28.5124i | −0.287605 | + | 1.26008i | ||||
\(513\) | 7.73273 | − | 3.54793i | 0.341408 | − | 0.156645i | ||||
\(514\) | −31.1784 | − | 4.69939i | −1.37522 | − | 0.207281i | ||||
\(515\) | −11.5176 | + | 14.4426i | −0.507527 | + | 0.636419i | ||||
\(516\) | 37.1040 | + | 13.7664i | 1.63341 | + | 0.606030i | ||||
\(517\) | 43.8360 | − | 13.5216i | 1.92790 | − | 0.594679i | ||||
\(518\) | 27.4363 | + | 32.9472i | 1.20548 | + | 1.44762i | ||||
\(519\) | −11.6128 | + | 1.08922i | −0.509744 | + | 0.0478117i | ||||
\(520\) | −2.68933 | − | 4.65806i | −0.117935 | − | 0.204270i | ||||
\(521\) | 4.61606 | + | 7.99525i | 0.202233 | + | 0.350278i | 0.949248 | − | 0.314530i | \(-0.101847\pi\) |
−0.747014 | + | 0.664808i | \(0.768513\pi\) | |||||||
\(522\) | 25.5547 | − | 13.5075i | 1.11850 | − | 0.591208i | ||||
\(523\) | 10.4291 | − | 7.11041i | 0.456031 | − | 0.310917i | −0.313429 | − | 0.949612i | \(-0.601478\pi\) |
0.769460 | + | 0.638695i | \(0.220525\pi\) | |||||||
\(524\) | −2.46207 | − | 6.27325i | −0.107556 | − | 0.274048i | ||||
\(525\) | −3.76097 | − | 7.07307i | −0.164142 | − | 0.308694i | ||||
\(526\) | −14.0166 | + | 35.7138i | −0.611154 | + | 1.55719i | ||||
\(527\) | 0.587448 | + | 2.57378i | 0.0255896 | + | 0.112115i | ||||
\(528\) | 19.9410 | − | 12.0162i | 0.867821 | − | 0.522939i | ||||
\(529\) | 20.7122 | + | 9.97446i | 0.900530 | + | 0.433672i | ||||
\(530\) | −8.76349 | − | 22.3290i | −0.380662 | − | 0.969910i | ||||
\(531\) | 35.3499 | − | 6.69017i | 1.53406 | − | 0.290329i | ||||
\(532\) | −1.00491 | − | 10.4370i | −0.0435684 | − | 0.452501i | ||||
\(533\) | −20.6219 | + | 14.0598i | −0.893233 | + | 0.608996i | ||||
\(534\) | −26.0108 | − | 5.42658i | −1.12560 | − | 0.234831i | ||||
\(535\) | 8.57905 | + | 7.96019i | 0.370905 | + | 0.344149i | ||||
\(536\) | −0.323601 | + | 4.31815i | −0.0139774 | + | 0.186516i | ||||
\(537\) | 19.7485 | − | 11.9002i | 0.852210 | − | 0.513532i | ||||
\(538\) | 32.5434 | − | 56.3669i | 1.40305 | − | 2.43015i | ||||
\(539\) | 8.31711 | + | 30.4333i | 0.358243 | + | 1.31086i | ||||
\(540\) | 13.8079 | + | 17.9924i | 0.594198 | + | 0.774269i | ||||
\(541\) | 22.7963 | − | 3.43599i | 0.980090 | − | 0.147725i | 0.360592 | − | 0.932724i | \(-0.382575\pi\) |
0.619497 | + | 0.784999i | \(0.287336\pi\) | |||||||
\(542\) | −3.39781 | + | 1.63630i | −0.145949 | + | 0.0702851i | ||||
\(543\) | 13.8243 | − | 11.4544i | 0.593259 | − | 0.491556i | ||||
\(544\) | −9.94752 | + | 4.79047i | −0.426496 | + | 0.205390i | ||||
\(545\) | −0.167896 | − | 2.24041i | −0.00719186 | − | 0.0959687i | ||||
\(546\) | −29.7646 | + | 13.0752i | −1.27381 | + | 0.559567i | ||||
\(547\) | 0.459038 | − | 6.12544i | 0.0196271 | − | 0.261905i | −0.978755 | − | 0.205035i | \(-0.934269\pi\) |
0.998382 | − | 0.0568695i | \(-0.0181119\pi\) | |||||||
\(548\) | 12.1926 | + | 31.0662i | 0.520841 | + | 1.32708i | ||||
\(549\) | 36.9210 | − | 12.9210i | 1.57575 | − | 0.551456i | ||||
\(550\) | 6.05189 | − | 15.4200i | 0.258053 | − | 0.657509i | ||||
\(551\) | −5.50034 | + | 5.10357i | −0.234322 | + | 0.217419i | ||||
\(552\) | −0.00303436 | − | 0.162056i | −0.000129151 | − | 0.00689758i | ||||
\(553\) | −0.513064 | + | 0.170245i | −0.0218177 | + | 0.00723954i | ||||
\(554\) | −59.1185 | − | 8.91067i | −2.51170 | − | 0.378578i | ||||
\(555\) | 24.0364 | + | 1.34932i | 1.02029 | + | 0.0572756i | ||||
\(556\) | 2.52730 | + | 11.0728i | 0.107182 | + | 0.469593i | ||||
\(557\) | −3.77311 | − | 6.53521i | −0.159872 | − | 0.276906i | 0.774951 | − | 0.632022i | \(-0.217775\pi\) |
−0.934822 | + | 0.355116i | \(0.884441\pi\) | |||||||
\(558\) | 3.13818 | + | 11.7098i | 0.132850 | + | 0.495715i | ||||
\(559\) | 7.08788 | + | 31.0540i | 0.299786 | + | 1.31345i | ||||
\(560\) | −13.5050 | + | 4.48123i | −0.570692 | + | 0.189366i | ||||
\(561\) | 10.0529 | + | 3.72981i | 0.424432 | + | 0.157473i | ||||
\(562\) | 7.44732 | − | 32.6289i | 0.314146 | − | 1.37637i | ||||
\(563\) | 0.427070 | + | 1.08816i | 0.0179988 | + | 0.0458603i | 0.939591 | − | 0.342300i | \(-0.111206\pi\) |
−0.921592 | + | 0.388160i | \(0.873111\pi\) | |||||||
\(564\) | −41.4157 | + | 10.2722i | −1.74392 | + | 0.432539i | ||||
\(565\) | 7.18728 | − | 2.21698i | 0.302371 | − | 0.0932692i | ||||
\(566\) | −12.1070 | + | 53.0444i | −0.508897 | + | 2.22962i | ||||
\(567\) | 20.3636 | − | 12.3419i | 0.855192 | − | 0.518311i | ||||
\(568\) | 2.75220 | + | 12.0582i | 0.115480 | + | 0.505950i | ||||
\(569\) | −8.19751 | − | 14.1985i | −0.343658 | − | 0.595232i | 0.641451 | − | 0.767164i | \(-0.278333\pi\) |
−0.985109 | + | 0.171931i | \(0.944999\pi\) | |||||||
\(570\) | −8.53044 | − | 6.54534i | −0.357301 | − | 0.274154i | ||||
\(571\) | 31.1613 | + | 9.61200i | 1.30406 | + | 0.402250i | 0.867506 | − | 0.497427i | \(-0.165722\pi\) |
0.436556 | + | 0.899677i | \(0.356198\pi\) | |||||||
\(572\) | −33.1642 | − | 15.9710i | −1.38666 | − | 0.667782i | ||||
\(573\) | −24.2043 | − | 25.1258i | −1.01115 | − | 1.04965i | ||||
\(574\) | −15.8405 | − | 37.9750i | −0.661172 | − | 1.58504i | ||||
\(575\) | 0.115384 | + | 0.144687i | 0.00481184 | + | 0.00603386i | ||||
\(576\) | −29.0044 | + | 15.3309i | −1.20852 | + | 0.638788i | ||||
\(577\) | 5.44289 | − | 13.8682i | 0.226590 | − | 0.577343i | −0.771688 | − | 0.636002i | \(-0.780587\pi\) |
0.998278 | + | 0.0586588i | \(0.0186824\pi\) | |||||||
\(578\) | 28.6289 | + | 13.7869i | 1.19080 | + | 0.573461i | ||||
\(579\) | 2.01517 | − | 6.99540i | 0.0837478 | − | 0.290719i | ||||
\(580\) | −16.5267 | − | 11.2677i | −0.686234 | − | 0.467867i | ||||
\(581\) | 31.5277 | − | 5.43751i | 1.30799 | − | 0.225586i | ||||
\(582\) | −8.10389 | − | 16.0520i | −0.335917 | − | 0.665379i | ||||
\(583\) | −23.5600 | − | 16.0630i | −0.975757 | − | 0.665260i | ||||
\(584\) | 3.35182 | − | 1.03390i | 0.138699 | − | 0.0427831i | ||||
\(585\) | −6.02822 | + | 17.2301i | −0.249236 | + | 0.712377i | ||||
\(586\) | −10.1067 | + | 1.52334i | −0.417504 | + | 0.0629286i | ||||
\(587\) | 1.21031 | − | 2.09632i | 0.0499548 | − | 0.0865242i | −0.839967 | − | 0.542638i | \(-0.817426\pi\) |
0.889922 | + | 0.456114i | \(0.150759\pi\) | |||||||
\(588\) | −6.13752 | − | 28.6973i | −0.253107 | − | 1.18345i | ||||
\(589\) | −1.57349 | − | 2.72536i | −0.0648343 | − | 0.112296i | ||||
\(590\) | −28.3491 | − | 35.5486i | −1.16711 | − | 1.46351i | ||||
\(591\) | 10.2070 | + | 2.12946i | 0.419859 | + | 0.0875943i | ||||
\(592\) | −5.11510 | + | 22.4107i | −0.210229 | + | 0.921074i | ||||
\(593\) | −0.552101 | + | 7.36728i | −0.0226721 | + | 0.302538i | 0.974328 | + | 0.225134i | \(0.0722821\pi\) |
−0.997000 | + | 0.0774036i | \(0.975337\pi\) | |||||||
\(594\) | 46.7726 | + | 15.3876i | 1.91910 | + | 0.631359i | ||||
\(595\) | −5.49157 | − | 3.57605i | −0.225133 | − | 0.146604i | ||||
\(596\) | 1.87795 | − | 25.0594i | 0.0769237 | − | 1.02647i | ||||
\(597\) | 12.7965 | + | 13.2837i | 0.523726 | + | 0.543665i | ||||
\(598\) | 0.620526 | − | 0.423067i | 0.0253752 | − | 0.0173005i | ||||
\(599\) | 7.95244 | − | 1.19864i | 0.324928 | − | 0.0489750i | 0.0154471 | − | 0.999881i | \(-0.495083\pi\) |
0.309481 | + | 0.950906i | \(0.399845\pi\) | |||||||
\(600\) | −1.11593 | + | 2.43273i | −0.0455575 | + | 0.0993157i | ||||
\(601\) | −4.46754 | + | 0.673374i | −0.182235 | + | 0.0274675i | −0.239526 | − | 0.970890i | \(-0.576992\pi\) |
0.0572907 | + | 0.998358i | \(0.481754\pi\) | |||||||
\(602\) | −52.4997 | + | 1.11252i | −2.13973 | + | 0.0453429i | ||||
\(603\) | 11.8241 | − | 8.72735i | 0.481513 | − | 0.355405i | ||||
\(604\) | 36.6530 | − | 24.9896i | 1.49139 | − | 1.01681i | ||||
\(605\) | 3.73726 | + | 16.3740i | 0.151941 | + | 0.665697i | ||||
\(606\) | −5.26786 | + | 40.0202i | −0.213992 | + | 1.62571i | ||||
\(607\) | −21.4029 | −0.868718 | −0.434359 | − | 0.900740i | \(-0.643025\pi\) | ||||
−0.434359 | + | 0.900740i | \(0.643025\pi\) | |||||||
\(608\) | 9.64793 | − | 8.95197i | 0.391275 | − | 0.363050i | ||||
\(609\) | −13.6583 | + | 15.9521i | −0.553464 | + | 0.646411i | ||||
\(610\) | −36.2390 | − | 33.6249i | −1.46727 | − | 1.36143i | ||||
\(611\) | −25.1757 | − | 23.3597i | −1.01850 | − | 0.945031i | ||||
\(612\) | −9.14170 | − | 3.98800i | −0.369531 | − | 0.161206i | ||||
\(613\) | 39.3474 | + | 5.93066i | 1.58922 | + | 0.239537i | 0.883320 | − | 0.468770i | \(-0.155303\pi\) |
0.705904 | + | 0.708307i | \(0.250541\pi\) | |||||||
\(614\) | −43.1749 | + | 13.3177i | −1.74240 | + | 0.537458i | ||||
\(615\) | −21.6607 | − | 8.03657i | −0.873445 | − | 0.324066i | ||||
\(616\) | 6.39603 | − | 8.37854i | 0.257703 | − | 0.337581i | ||||
\(617\) | −0.474105 | + | 0.439905i | −0.0190867 | + | 0.0177099i | −0.689658 | − | 0.724135i | \(-0.742239\pi\) |
0.670572 | + | 0.741845i | \(0.266049\pi\) | |||||||
\(618\) | 4.86837 | − | 36.9852i | 0.195835 | − | 1.48776i | ||||
\(619\) | 30.8064 | 1.23821 | 0.619107 | − | 0.785307i | \(-0.287495\pi\) | ||||
0.619107 | + | 0.785307i | \(0.287495\pi\) | |||||||
\(620\) | 6.14969 | − | 5.70608i | 0.246978 | − | 0.229162i | ||||
\(621\) | −0.410143 | + | 0.366575i | −0.0164585 | + | 0.0147101i | ||||
\(622\) | −21.6686 | + | 27.1715i | −0.868831 | + | 1.08948i | ||||
\(623\) | 19.0238 | − | 3.28099i | 0.762172 | − | 0.131450i | ||||
\(624\) | −15.2552 | − | 8.43082i | −0.610697 | − | 0.337503i | ||||
\(625\) | 2.93808 | + | 12.8726i | 0.117523 | + | 0.514903i | ||||
\(626\) | −30.6462 | + | 4.61916i | −1.22487 | + | 0.184619i | ||||
\(627\) | −12.7616 | − | 0.716396i | −0.509650 | − | 0.0286101i | ||||
\(628\) | −1.25883 | − | 0.189738i | −0.0502327 | − | 0.00757136i | ||||
\(629\) | −9.53838 | + | 4.59344i | −0.380320 | + | 0.183152i | ||||
\(630\) | −25.8150 | − | 15.4661i | −1.02849 | − | 0.616183i | ||||
\(631\) | −17.9641 | − | 8.65106i | −0.715140 | − | 0.344393i | 0.0406802 | − | 0.999172i | \(-0.487048\pi\) |
−0.755821 | + | 0.654779i | \(0.772762\pi\) | |||||||
\(632\) | 0.149226 | + | 0.101740i | 0.00593588 | + | 0.00404701i | ||||
\(633\) | −37.6614 | − | 13.9732i | −1.49691 | − | 0.555384i | ||||
\(634\) | 1.39314 | − | 18.5901i | 0.0553286 | − | 0.738309i | ||||
\(635\) | 6.28226 | + | 7.87770i | 0.249304 | + | 0.312617i | ||||
\(636\) | 21.0429 | + | 16.1461i | 0.834406 | + | 0.640233i | ||||
\(637\) | 16.6182 | − | 16.7844i | 0.658438 | − | 0.665023i | ||||
\(638\) | −43.4254 | −1.71923 | ||||||||
\(639\) | 24.9245 | − | 33.7746i | 0.985998 | − | 1.33610i | ||||
\(640\) | 10.3037 | + | 7.02495i | 0.407290 | + | 0.277685i | ||||
\(641\) | 1.88427 | − | 8.25553i | 0.0744242 | − | 0.326074i | −0.923987 | − | 0.382424i | \(-0.875089\pi\) |
0.998411 | + | 0.0563505i | \(0.0179464\pi\) | |||||||
\(642\) | −23.1354 | − | 4.82669i | −0.913083 | − | 0.190494i | ||||
\(643\) | 2.07852 | + | 27.7360i | 0.0819690 | + | 1.09380i | 0.874840 | + | 0.484411i | \(0.160966\pi\) |
−0.792871 | + | 0.609389i | \(0.791415\pi\) | |||||||
\(644\) | 0.260994 | + | 0.625687i | 0.0102846 | + | 0.0246555i | ||||
\(645\) | −19.6468 | + | 21.9857i | −0.773590 | + | 0.865686i | ||||
\(646\) | 4.67555 | + | 0.704725i | 0.183957 | + | 0.0277270i | ||||
\(647\) | −0.00352227 | − | 0.0470015i | −0.000138475 | − | 0.00184782i | 0.997134 | − | 0.0756540i | \(-0.0241044\pi\) |
−0.997273 | + | 0.0738062i | \(0.976485\pi\) | |||||||
\(648\) | −7.40596 | − | 2.90588i | −0.290934 | − | 0.114154i | ||||
\(649\) | −51.6494 | − | 15.9317i | −2.02742 | − | 0.625375i | ||||
\(650\) | −12.2630 | + | 1.84834i | −0.480993 | + | 0.0724980i | ||||
\(651\) | −5.24801 | − | 7.07357i | −0.205686 | − | 0.277235i | ||||
\(652\) | −51.7476 | − | 7.79969i | −2.02659 | − | 0.305460i | ||||
\(653\) | −29.5575 | − | 14.2341i | −1.15667 | − | 0.557025i | −0.245642 | − | 0.969361i | \(-0.578999\pi\) |
−0.911032 | + | 0.412335i | \(0.864713\pi\) | |||||||
\(654\) | 2.62551 | + | 3.70014i | 0.102666 | + | 0.144687i | ||||
\(655\) | 5.02084 | 0.196180 | ||||||||
\(656\) | 11.0301 | − | 19.1047i | 0.430653 | − | 0.745913i | ||||
\(657\) | −10.0800 | − | 6.33305i | −0.393257 | − | 0.247076i | ||||
\(658\) | 46.0939 | − | 32.8781i | 1.79693 | − | 1.28172i | ||||
\(659\) | 17.9202 | + | 16.6276i | 0.698074 | + | 0.647718i | 0.947159 | − | 0.320764i | \(-0.103940\pi\) |
−0.249085 | + | 0.968481i | \(0.580130\pi\) | |||||||
\(660\) | −5.70824 | − | 33.5918i | −0.222193 | − | 1.30756i | ||||
\(661\) | 0.567503 | + | 1.44597i | 0.0220733 | + | 0.0562419i | 0.941486 | − | 0.337053i | \(-0.109430\pi\) |
−0.919412 | + | 0.393295i | \(0.871335\pi\) | |||||||
\(662\) | 26.3645 | + | 67.1755i | 1.02468 | + | 2.61085i | ||||
\(663\) | −1.34482 | − | 7.91396i | −0.0522283 | − | 0.307353i | ||||
\(664\) | −7.83567 | − | 7.27044i | −0.304083 | − | 0.282148i | ||||
\(665\) | 7.51189 | + | 2.14391i | 0.291299 | + | 0.0831374i | ||||
\(666\) | −42.9809 | + | 22.7185i | −1.66548 | + | 0.880324i | ||||
\(667\) | 0.242570 | − | 0.420144i | 0.00939235 | − | 0.0162680i | ||||
\(668\) | −49.2613 | −1.90598 | ||||||||
\(669\) | −5.48450 | − | 7.72932i | −0.212043 | − | 0.298833i | ||||
\(670\) | −16.7337 | − | 8.05851i | −0.646478 | − | 0.311327i | ||||
\(671\) | −58.1105 | − | 8.75875i | −2.24333 | − | 0.338128i | ||||
\(672\) | 23.9575 | − | 27.9809i | 0.924182 | − | 1.07939i | ||||
\(673\) | −40.1089 | + | 6.04544i | −1.54608 | + | 0.233035i | −0.865979 | − | 0.500080i | \(-0.833304\pi\) |
−0.680105 | + | 0.733115i | \(0.738066\pi\) | |||||||
\(674\) | 27.9016 | + | 8.60649i | 1.07473 | + | 0.331510i | ||||
\(675\) | 8.72825 | − | 2.51519i | 0.335950 | − | 0.0968096i | ||||
\(676\) | −0.292056 | − | 3.89722i | −0.0112329 | − | 0.149893i | ||||
\(677\) | −31.9583 | − | 4.81693i | −1.22826 | − | 0.185130i | −0.497315 | − | 0.867570i | \(-0.665681\pi\) |
−0.730941 | + | 0.682440i | \(0.760919\pi\) | |||||||
\(678\) | −10.1208 | + | 11.3257i | −0.388687 | + | 0.434961i | ||||
\(679\) | 9.76292 | + | 8.68109i | 0.374667 | + | 0.333150i | ||||
\(680\) | 0.163621 | + | 2.18337i | 0.00627457 | + | 0.0837284i | ||||
\(681\) | 26.7211 | + | 5.57477i | 1.02396 | + | 0.213626i | ||||
\(682\) | 4.05278 | − | 17.7564i | 0.155189 | − | 0.679927i | ||||
\(683\) | −29.6279 | − | 20.2000i | −1.13368 | − | 0.772930i | −0.156994 | − | 0.987600i | \(-0.550180\pi\) |
−0.976687 | + | 0.214669i | \(0.931133\pi\) | |||||||
\(684\) | 11.8145 | + | 1.33064i | 0.451737 | + | 0.0508784i | ||||
\(685\) | −24.8640 | −0.950006 | ||||||||
\(686\) | 21.5720 | + | 32.4170i | 0.823622 | + | 1.23769i | ||||
\(687\) | 29.3177 | + | 22.4952i | 1.11854 | + | 0.858247i | ||||
\(688\) | −17.5534 | − | 22.0113i | −0.669218 | − | 0.839173i | ||||
\(689\) | −1.59532 | + | 21.2880i | −0.0607767 | + | 0.811008i | ||||
\(690\) | 0.651785 | + | 0.241826i | 0.0248130 | + | 0.00920614i | ||||
\(691\) | 19.3009 | + | 13.1591i | 0.734240 | + | 0.500597i | 0.871779 | − | 0.489900i | \(-0.162967\pi\) |
−0.137538 | + | 0.990496i | \(0.543919\pi\) | |||||||
\(692\) | −14.6852 | − | 7.07204i | −0.558249 | − | 0.268839i | ||||
\(693\) | −35.7121 | + | 2.09627i | −1.35659 | + | 0.0796306i | ||||
\(694\) | −33.1847 | + | 15.9809i | −1.25968 | + | 0.606628i | ||||
\(695\) | −8.36726 | − | 1.26116i | −0.317388 | − | 0.0478386i | ||||
\(696\) | 7.00535 | + | 0.393257i | 0.265537 | + | 0.0149064i | ||||
\(697\) | 10.0465 | − | 1.51426i | 0.380537 | − | 0.0573567i | ||||
\(698\) | 10.5863 | + | 46.3817i | 0.400698 | + | 1.75557i | ||||
\(699\) | 11.6304 | + | 6.42756i | 0.439902 | + | 0.243113i | ||||
\(700\) | 0.599880 | − | 11.1786i | 0.0226733 | − | 0.422510i | ||||
\(701\) | −20.6312 | + | 25.8707i | −0.779228 | + | 0.977121i | 0.220770 | + | 0.975326i | \(0.429143\pi\) |
−0.999998 | + | 0.00179559i | \(0.999428\pi\) | |||||||
\(702\) | −7.53167 | − | 36.0851i | −0.284265 | − | 1.36195i | ||||
\(703\) | 9.25111 | − | 8.58378i | 0.348912 | − | 0.323743i | ||||
\(704\) | 49.2875 | 1.85759 | ||||||||
\(705\) | 4.14885 | − | 31.5190i | 0.156255 | − | 1.18708i | ||||
\(706\) | −16.6813 | + | 15.4780i | −0.627808 | + | 0.582521i | ||||
\(707\) | −7.13012 | − | 28.4469i | −0.268156 | − | 1.06985i | ||||
\(708\) | 47.1365 | + | 17.4886i | 1.77150 | + | 0.657262i | ||||
\(709\) | 7.47638 | − | 2.30616i | 0.280782 | − | 0.0866096i | −0.151166 | − | 0.988508i | \(-0.548303\pi\) |
0.431947 | + | 0.901899i | \(0.357827\pi\) | |||||||
\(710\) | −52.4565 | − | 7.90654i | −1.96866 | − | 0.296727i | ||||
\(711\) | −0.0686556 | − | 0.609094i | −0.00257478 | − | 0.0228428i | ||||
\(712\) | −4.72803 | − | 4.38698i | −0.177191 | − | 0.164409i | ||||
\(713\) | 0.149156 | + | 0.138396i | 0.00558592 | + | 0.00518298i | ||||
\(714\) | 13.2257 | + | 0.461634i | 0.494960 | + | 0.0172762i | ||||
\(715\) | 20.1034 | − | 18.6532i | 0.751823 | − | 0.697590i | ||||
\(716\) | 32.2205 | 1.20414 | ||||||||
\(717\) | 2.14495 | − | 16.2953i | 0.0801046 | − | 0.608558i | ||||
\(718\) | −15.7285 | − | 68.9110i | −0.586982 | − | 2.57174i | ||||
\(719\) | −11.9305 | + | 8.13409i | −0.444933 | + | 0.303350i | −0.764983 | − | 0.644050i | \(-0.777253\pi\) |
0.320050 | + | 0.947401i | \(0.396300\pi\) | |||||||
\(720\) | −1.80717 | − | 16.0327i | −0.0673493 | − | 0.597505i | ||||
\(721\) | 6.58940 | + | 26.2896i | 0.245402 | + | 0.979075i | ||||
\(722\) | 33.9275 | − | 5.11375i | 1.26265 | − | 0.190314i | ||||
\(723\) | 14.6497 | − | 31.9364i | 0.544827 | − | 1.18773i | ||||
\(724\) | 24.8082 | − | 3.73924i | 0.921991 | − | 0.138968i | ||||
\(725\) | −6.61899 | + | 4.51275i | −0.245823 | + | 0.167599i | ||||
\(726\) | −23.5303 | − | 24.4261i | −0.873290 | − | 0.906537i | ||||
\(727\) | 2.11566 | − | 28.2315i | 0.0784654 | − | 1.04705i | −0.809495 | − | 0.587127i | \(-0.800259\pi\) |
0.887960 | − | 0.459921i | \(-0.152122\pi\) | |||||||
\(728\) | −7.82645 | − | 1.01057i | −0.290068 | − | 0.0374542i | ||||
\(729\) | 8.92090 | + | 25.4837i | 0.330404 | + | 0.943840i | ||||
\(730\) | −1.12430 | + | 15.0027i | −0.0416120 | + | 0.555274i | ||||
\(731\) | 2.88526 | − | 12.6411i | 0.106715 | − | 0.467550i | ||||
\(732\) | 53.5110 | + | 11.1639i | 1.97782 | + | 0.412629i | ||||
\(733\) | 4.33005 | + | 5.42972i | 0.159934 | + | 0.200551i | 0.855341 | − | 0.518065i | \(-0.173347\pi\) |
−0.695407 | + | 0.718616i | \(0.744776\pi\) | |||||||
\(734\) | 33.0204 | + | 57.1929i | 1.21880 | + | 2.11103i | ||||
\(735\) | 21.5730 | + | 3.55456i | 0.795732 | + | 0.131112i | ||||
\(736\) | −0.425482 | + | 0.736957i | −0.0156835 | + | 0.0271646i | ||||
\(737\) | −21.8321 | + | 3.29066i | −0.804195 | + | 0.121213i | ||||
\(738\) | 45.8418 | − | 8.67583i | 1.68746 | − | 0.319362i | ||||
\(739\) | −43.7524 | + | 13.4958i | −1.60946 | + | 0.496452i | −0.963677 | − | 0.267070i | \(-0.913944\pi\) |
−0.645782 | + | 0.763522i | \(0.723468\pi\) | |||||||
\(740\) | 27.7965 | + | 18.9514i | 1.02182 | + | 0.696666i | ||||
\(741\) | 4.31254 | + | 8.54220i | 0.158425 | + | 0.313806i | ||||
\(742\) | −33.8419 | − | 9.65858i | −1.24238 | − | 0.354577i | ||||
\(743\) | 0.628872 | + | 0.428757i | 0.0230711 | + | 0.0157296i | 0.574801 | − | 0.818293i | \(-0.305080\pi\) |
−0.551730 | + | 0.834023i | \(0.686032\pi\) | |||||||
\(744\) | −0.814590 | + | 2.82774i | −0.0298643 | + | 0.103670i | ||||
\(745\) | 16.8683 | + | 8.12336i | 0.618008 | + | 0.297617i | ||||
\(746\) | 10.1021 | − | 25.7396i | 0.369863 | − | 0.942395i | ||||
\(747\) | −1.35484 | + | 36.2515i | −0.0495710 | + | 1.32637i | ||||
\(748\) | 9.34237 | + | 11.7150i | 0.341591 | + | 0.428342i | ||||
\(749\) | 16.9208 | − | 2.91829i | 0.618272 | − | 0.106632i | ||||
\(750\) | −30.7442 | − | 31.9147i | −1.12262 | − | 1.16536i | ||||
\(751\) | −33.5852 | − | 16.1738i | −1.22554 | − | 0.590189i | −0.294691 | − | 0.955593i | \(-0.595217\pi\) |
−0.930849 | + | 0.365404i | \(0.880931\pi\) | |||||||
\(752\) | 29.0067 | + | 8.94737i | 1.05776 | + | 0.326277i | ||||
\(753\) | 31.0218 | + | 23.8028i | 1.13050 | + | 0.867421i | ||||
\(754\) | 16.2553 | + | 28.1550i | 0.591983 | + | 1.02534i | ||||
\(755\) | 7.35443 | + | 32.2219i | 0.267655 | + | 1.17267i | ||||
\(756\) | 33.2754 | − | 0.0849794i | 1.21021 | − | 0.00309067i | ||||
\(757\) | 3.74168 | − | 16.3934i | 0.135994 | − | 0.595827i | −0.860298 | − | 0.509791i | \(-0.829723\pi\) |
0.996292 | − | 0.0860360i | \(-0.0274200\pi\) | |||||||
\(758\) | −7.38541 | + | 2.27810i | −0.268250 | + | 0.0827442i | ||||
\(759\) | 0.802117 | − | 0.198947i | 0.0291150 | − | 0.00722133i | ||||
\(760\) | −0.953534 | − | 2.42956i | −0.0345883 | − | 0.0881296i | ||||
\(761\) | 6.87824 | − | 30.1355i | 0.249336 | − | 1.09241i | −0.682886 | − | 0.730525i | \(-0.739275\pi\) |
0.932222 | − | 0.361887i | \(-0.117867\pi\) | |||||||
\(762\) | −19.0768 | − | 7.07789i | −0.691080 | − | 0.256405i | ||||
\(763\) | −2.76225 | − | 1.79875i | −0.100000 | − | 0.0651190i | ||||
\(764\) | −10.8487 | − | 47.5312i | −0.392491 | − | 1.71962i | ||||
\(765\) | 5.25408 | − | 5.25455i | 0.189962 | − | 0.189979i | ||||
\(766\) | 12.2550 | + | 21.2262i | 0.442789 | + | 0.766934i | ||||
\(767\) | 9.00436 | + | 39.4507i | 0.325129 | + | 1.42448i | ||||
\(768\) | 12.6789 | + | 0.711752i | 0.457510 | + | 0.0256831i | ||||
\(769\) | 23.3551 | + | 3.52022i | 0.842207 | + | 0.126942i | 0.555955 | − | 0.831212i | \(-0.312353\pi\) |
0.286252 | + | 0.958154i | \(0.407591\pi\) | |||||||
\(770\) | 23.4299 | + | 38.6660i | 0.844354 | + | 1.39343i | ||||
\(771\) | 0.486279 | + | 25.9707i | 0.0175129 | + | 0.935313i | ||||
\(772\) | 7.45747 | − | 6.91953i | 0.268400 | − | 0.249039i | ||||
\(773\) | −11.4463 | + | 29.1647i | −0.411695 | + | 1.04898i | 0.563201 | + | 0.826320i | \(0.309570\pi\) |
−0.974896 | + | 0.222662i | \(0.928525\pi\) | |||||||
\(774\) | 11.0670 | − | 58.5048i | 0.397797 | − | 2.10291i | ||||
\(775\) | −1.22750 | − | 3.12763i | −0.0440932 | − | 0.112348i | ||||
\(776\) | 0.326187 | − | 4.35266i | 0.0117094 | − | 0.156251i | ||||
\(777\) | 22.9722 | − | 26.8300i | 0.824122 | − | 0.962523i | ||||
\(778\) | −0.778399 | − | 10.3870i | −0.0279070 | − | 0.372393i | ||||
\(779\) | −10.9118 | + | 5.25484i | −0.390955 | + | 0.188274i | ||||
\(780\) | −19.6426 | + | 16.2753i | −0.703318 | + | 0.582748i | ||||
\(781\) | −56.8170 | + | 27.3616i | −2.03307 | + | 0.979077i | ||||
\(782\) | −0.302304 | + | 0.0455651i | −0.0108104 | + | 0.00162940i | ||||
\(783\) | −14.4972 | − | 18.8906i | −0.518089 | − | 0.675094i | ||||
\(784\) | −6.79694 | + | 19.7391i | −0.242748 | + | 0.704966i | ||||
\(785\) | 0.474230 | − | 0.821390i | 0.0169260 | − | 0.0293167i | ||||
\(786\) | −8.68431 | + | 5.23307i | −0.309759 | + | 0.186657i | ||||
\(787\) | −3.30206 | + | 44.0630i | −0.117706 | + | 1.57068i | 0.555688 | + | 0.831391i | \(0.312455\pi\) |
−0.673393 | + | 0.739284i | \(0.735164\pi\) | |||||||
\(788\) | 10.6811 | + | 9.91063i | 0.380499 | + | 0.353052i | ||||
\(789\) | 30.9401 | + | 6.45496i | 1.10150 | + | 0.229803i | ||||
\(790\) | −0.640046 | + | 0.436376i | −0.0227718 | + | 0.0155256i | ||||
\(791\) | 3.81309 | − | 10.3555i | 0.135578 | − | 0.368200i | ||||
\(792\) | 7.79666 | + | 9.05907i | 0.277042 | + | 0.321900i | ||||
\(793\) | 16.0736 | + | 40.9548i | 0.570789 | + | 1.45435i | ||||
\(794\) | 24.1679 | + | 11.6386i | 0.857685 | + | 0.413039i | ||||
\(795\) | −16.9255 | + | 10.1991i | −0.600285 | + | 0.361725i | ||||
\(796\) | 5.73555 | + | 25.1291i | 0.203291 | + | 0.890677i | ||||
\(797\) | −3.53520 | + | 9.00754i | −0.125223 | + | 0.319063i | −0.979713 | − | 0.200404i | \(-0.935774\pi\) |
0.854490 | + | 0.519468i | \(0.173870\pi\) | |||||||
\(798\) | −15.2275 | + | 4.12119i | −0.539048 | + | 0.145888i | ||||
\(799\) | 5.10757 | + | 13.0139i | 0.180693 | + | 0.460398i | ||||
\(800\) | 11.6101 | − | 7.91564i | 0.410479 | − | 0.279860i | ||||
\(801\) | −0.817509 | + | 21.8741i | −0.0288853 | + | 0.772884i | ||||
\(802\) | 5.30716 | + | 9.19228i | 0.187402 | + | 0.324591i | ||||
\(803\) | 8.94225 | + | 15.4884i | 0.315565 | + | 0.546575i | ||||
\(804\) | 20.4472 | − | 1.91785i | 0.721115 | − | 0.0676373i | ||||
\(805\) | −0.504973 | + | 0.0107009i | −0.0177980 | + | 0.000377156i | ||||
\(806\) | −13.0295 | + | 4.01905i | −0.458943 | + | 0.141565i | ||||
\(807\) | −50.2708 | − | 18.6515i | −1.76962 | − | 0.656564i | ||||
\(808\) | −6.10912 | + | 7.66060i | −0.214918 | + | 0.269499i | ||||
\(809\) | −40.8587 | − | 6.15846i | −1.43652 | − | 0.216520i | −0.615820 | − | 0.787887i | \(-0.711175\pi\) |
−0.820695 | + | 0.571367i | \(0.806413\pi\) | |||||||
\(810\) | 23.2071 | − | 25.0158i | 0.815415 | − | 0.878964i | ||||
\(811\) | −3.71459 | + | 16.2747i | −0.130437 | + | 0.571482i | 0.866895 | + | 0.498490i | \(0.166112\pi\) |
−0.997333 | + | 0.0729920i | \(0.976745\pi\) | |||||||
\(812\) | −27.8535 | + | 9.24232i | −0.977466 | + | 0.324342i | ||||
\(813\) | 1.79789 | + | 2.53377i | 0.0630548 | + | 0.0888632i | ||||
\(814\) | 73.0379 | 2.55998 | ||||||||
\(815\) | 19.4945 | − | 33.7655i | 0.682863 | − | 1.18275i | ||||
\(816\) | 4.10589 | + | 5.78644i | 0.143735 | + | 0.202566i | ||||
\(817\) | 1.15506 | + | 15.4132i | 0.0404104 | + | 0.539239i | ||||
\(818\) | −4.91165 | + | 6.15902i | −0.171732 | + | 0.215345i | ||||
\(819\) | 14.7271 | + | 22.3694i | 0.514607 | + | 0.781649i | ||||
\(820\) | −20.1299 | − | 25.2421i | −0.702966 | − | 0.881491i | ||||
\(821\) | 29.9696 | − | 27.8077i | 1.04594 | − | 0.970495i | 0.0463488 | − | 0.998925i | \(-0.485241\pi\) |
0.999596 | + | 0.0284305i | \(0.00905094\pi\) | |||||||
\(822\) | 43.0061 | − | 25.9150i | 1.50001 | − | 0.903890i | ||||
\(823\) | −8.96983 | + | 6.11553i | −0.312669 | + | 0.213174i | −0.709479 | − | 0.704727i | \(-0.751070\pi\) |
0.396810 | + | 0.917901i | \(0.370117\pi\) | |||||||
\(824\) | 5.64583 | − | 7.07965i | 0.196682 | − | 0.246631i | ||||
\(825\) | −13.3588 | − | 2.78703i | −0.465095 | − | 0.0970318i | ||||
\(826\) | −66.6949 | + | 1.41333i | −2.32061 | + | 0.0491761i | ||||
\(827\) | 42.6606 | + | 20.5443i | 1.48345 | + | 0.714394i | 0.988031 | − | 0.154258i | \(-0.0492987\pi\) |
0.495423 | + | 0.868652i | \(0.335013\pi\) | |||||||
\(828\) | −0.755304 | + | 0.142946i | −0.0262486 | + | 0.00496770i | ||||
\(829\) | 3.04211 | − | 0.938365i | 0.105657 | − | 0.0325908i | −0.241476 | − | 0.970407i | \(-0.577632\pi\) |
0.347133 | + | 0.937816i | \(0.387155\pi\) | |||||||
\(830\) | 41.3065 | − | 19.8922i | 1.43377 | − | 0.690468i | ||||
\(831\) | 0.922050 | + | 49.2440i | 0.0319856 | + | 1.70825i | ||||
\(832\) | −18.4496 | − | 31.9557i | −0.639626 | − | 1.10786i | ||||
\(833\) | −9.05932 | + | 3.22068i | −0.313887 | + | 0.111590i | ||||
\(834\) | 15.7869 | − | 6.53957i | 0.546657 | − | 0.226447i | ||||
\(835\) | 13.4085 | − | 34.1642i | 0.464019 | − | 1.18230i | ||||
\(836\) | −14.7580 | − | 10.0618i | −0.510417 | − | 0.347996i | ||||
\(837\) | 9.07723 | − | 4.16482i | 0.313755 | − | 0.143957i | ||||
\(838\) | 1.64308 | − | 21.9254i | 0.0567593 | − | 0.757400i | ||||
\(839\) | −10.1737 | + | 6.93628i | −0.351233 | + | 0.239467i | −0.726065 | − | 0.687626i | \(-0.758653\pi\) |
0.374832 | + | 0.927093i | \(0.377701\pi\) | |||||||
\(840\) | −3.42953 | − | 6.44974i | −0.118330 | − | 0.222537i | ||||
\(841\) | −6.60917 | − | 4.50606i | −0.227902 | − | 0.155381i | ||||
\(842\) | 34.3425 | − | 43.0641i | 1.18352 | − | 1.48409i | ||||
\(843\) | −27.5280 | − | 1.54533i | −0.948114 | − | 0.0532240i | ||||
\(844\) | −34.9998 | − | 43.8883i | −1.20474 | − | 1.51070i | ||||
\(845\) | 2.78234 | + | 0.858237i | 0.0957153 | + | 0.0295242i | ||||
\(846\) | 25.6752 | + | 58.8412i | 0.882733 | + | 2.02300i | ||||
\(847\) | 22.4225 | + | 10.2187i | 0.770447 | + | 0.351118i | ||||
\(848\) | −6.89344 | − | 17.5642i | −0.236722 | − | 0.603157i | ||||
\(849\) | 44.7519 | + | 2.51223i | 1.53588 | + | 0.0862194i | ||||
\(850\) | 4.82398 | + | 1.48800i | 0.165461 | + | 0.0510380i | ||||
\(851\) | −0.407982 | + | 0.706646i | −0.0139855 | + | 0.0242235i | ||||
\(852\) | 54.1929 | − | 22.4488i | 1.85662 | − | 0.769084i | ||||
\(853\) | −26.5377 | − | 8.18581i | −0.908635 | − | 0.280277i | −0.195007 | − | 0.980802i | \(-0.562473\pi\) |
−0.713628 | + | 0.700525i | \(0.752949\pi\) | |||||||
\(854\) | −71.4755 | + | 12.3272i | −2.44584 | + | 0.421828i | ||||
\(855\) | −4.13863 | + | 7.83150i | −0.141538 | + | 0.267831i | ||||
\(856\) | −4.20537 | − | 3.90201i | −0.143737 | − | 0.133368i | ||||
\(857\) | 9.77036 | − | 12.2516i | 0.333749 | − | 0.418508i | −0.586434 | − | 0.809997i | \(-0.699469\pi\) |
0.920183 | + | 0.391489i | \(0.128040\pi\) | |||||||
\(858\) | −15.3302 | + | 53.2167i | −0.523364 | + | 1.81679i | ||||
\(859\) | 6.04735 | − | 26.4952i | 0.206333 | − | 0.904003i | −0.760650 | − | 0.649162i | \(-0.775120\pi\) |
0.966983 | − | 0.254841i | \(-0.0820232\pi\) | |||||||
\(860\) | −39.3730 | + | 12.1450i | −1.34261 | + | 0.414140i | ||||
\(861\) | −28.6559 | + | 18.1062i | −0.976591 | + | 0.617057i | ||||
\(862\) | 23.1530 | + | 7.14175i | 0.788594 | + | 0.243249i | ||||
\(863\) | 13.1446 | − | 22.7671i | 0.447446 | − | 0.775000i | −0.550773 | − | 0.834655i | \(-0.685667\pi\) |
0.998219 | + | 0.0596554i | \(0.0190002\pi\) | |||||||
\(864\) | 25.4290 | + | 33.1352i | 0.865113 | + | 1.12728i | ||||
\(865\) | 8.90185 | − | 8.25971i | 0.302672 | − | 0.280839i | ||||
\(866\) | −6.19771 | − | 82.7027i | −0.210607 | − | 2.81035i | ||||
\(867\) | 7.24621 | − | 25.1542i | 0.246094 | − | 0.854283i | ||||
\(868\) | −1.17963 | − | 12.2517i | −0.0400394 | − | 0.415849i | ||||
\(869\) | −0.336431 | + | 0.857212i | −0.0114126 | + | 0.0290789i | ||||
\(870\) | −12.5474 | + | 27.3535i | −0.425398 | + | 0.927370i | ||||
\(871\) | 10.3058 | + | 12.9231i | 0.349200 | + | 0.437883i | ||||
\(872\) | 0.0823009 | + | 1.09823i | 0.00278706 | + | 0.0371907i | ||||
\(873\) | −11.9185 | + | 8.79710i | −0.403382 | + | 0.297737i | ||||
\(874\) | 0.328342 | − | 0.158121i | 0.0111063 | − | 0.00534853i | ||||
\(875\) | 29.2969 | + | 13.3515i | 0.990414 | + | 0.451364i | ||||
\(876\) | −7.49724 | − | 14.8504i | −0.253308 | − | 0.501749i | ||||
\(877\) | −33.1590 | + | 15.9685i | −1.11970 | + | 0.539219i | −0.899800 | − | 0.436303i | \(-0.856287\pi\) |
−0.219900 | + | 0.975522i | \(0.570573\pi\) | |||||||
\(878\) | −3.52073 | − | 3.26676i | −0.118819 | − | 0.110248i | ||||
\(879\) | 2.63205 | + | 7.99811i | 0.0887768 | + | 0.269770i | ||||
\(880\) | −8.85563 | + | 22.5638i | −0.298523 | + | 0.760624i | ||||
\(881\) | 12.3697 | 0.416746 | 0.208373 | − | 0.978049i | \(-0.433183\pi\) | ||||
0.208373 | + | 0.978049i | \(0.433183\pi\) | |||||||
\(882\) | −41.0186 | + | 16.3367i | −1.38117 | + | 0.550085i | ||||
\(883\) | −24.3774 | −0.820364 | −0.410182 | − | 0.912004i | \(-0.634535\pi\) | ||||
−0.410182 | + | 0.912004i | \(0.634535\pi\) | |||||||
\(884\) | 4.09833 | − | 10.4424i | 0.137842 | − | 0.351215i | ||||
\(885\) | −24.9590 | + | 27.9304i | −0.838988 | + | 0.938869i | ||||
\(886\) | 46.4549 | + | 43.1039i | 1.56068 | + | 1.44810i | ||||
\(887\) | −39.1225 | + | 18.8404i | −1.31360 | + | 0.632599i | −0.953804 | − | 0.300430i | \(-0.902870\pi\) |
−0.359801 | + | 0.933029i | \(0.617155\pi\) | |||||||
\(888\) | −11.7824 | − | 0.661426i | −0.395392 | − | 0.0221960i | ||||
\(889\) | 14.7798 | − | 0.313199i | 0.495700 | − | 0.0105044i | ||||
\(890\) | 24.9243 | − | 12.0029i | 0.835465 | − | 0.402339i | ||||
\(891\) | 6.04214 | − | 40.1109i | 0.202419 | − | 1.34377i | ||||
\(892\) | −0.989738 | − | 13.2071i | −0.0331389 | − | 0.442208i | ||||
\(893\) | −10.3906 | − | 13.0294i | −0.347707 | − | 0.436011i | ||||
\(894\) | −37.6431 | + | 3.53075i | −1.25897 | + | 0.118086i | ||||
\(895\) | −8.77012 | + | 22.3459i | −0.293153 | + | 0.746941i | ||||
\(896\) | 17.3655 | − | 5.76220i | 0.580140 | − | 0.192502i | ||||
\(897\) | −0.429242 | − | 0.445584i | −0.0143320 | − | 0.0148776i | ||||
\(898\) | −0.722559 | − | 9.64188i | −0.0241121 | − | 0.321754i | ||||
\(899\) | −6.45669 | + | 5.99094i | −0.215343 | + | 0.199809i | ||||
\(900\) | 12.2612 | + | 3.28479i | 0.408705 | + | 0.109493i | ||||
\(901\) | 4.34500 | − | 7.52575i | 0.144753 | − | 0.250719i | ||||
\(902\) | −66.9790 | − | 20.6603i | −2.23016 | − | 0.687912i | ||||
\(903\) | 8.14911 | + | 42.4851i | 0.271185 | + | 1.41381i | ||||
\(904\) | −3.52314 | + | 1.08674i | −0.117178 | + | 0.0361446i | ||||
\(905\) | −4.15929 | + | 18.2231i | −0.138260 | + | 0.605755i | ||||
\(906\) | −46.3045 | − | 48.0674i | −1.53836 | − | 1.59693i | ||||
\(907\) | 32.9522 | − | 41.3207i | 1.09416 | − | 1.37203i | 0.172056 | − | 0.985087i | \(-0.444959\pi\) |
0.922103 | − | 0.386945i | \(-0.126470\pi\) | |||||||
\(908\) | 27.9624 | + | 25.9453i | 0.927965 | + | 0.861025i | ||||
\(909\) | 33.2302 | − | 1.24485i | 1.10218 | − | 0.0412890i | ||||
\(910\) | 16.2988 | − | 29.6645i | 0.540300 | − | 0.983370i | ||||
\(911\) | 19.7152 | + | 6.08134i | 0.653194 | + | 0.201484i | 0.603602 | − | 0.797286i | \(-0.293732\pi\) |
0.0495921 | + | 0.998770i | \(0.484208\pi\) | |||||||
\(912\) | −6.71013 | − | 5.14863i | −0.222194 | − | 0.170488i | ||||
\(913\) | 27.2503 | − | 47.1988i | 0.901852 | − | 1.56205i | ||||
\(914\) | 66.4583 | + | 20.4997i | 2.19824 | + | 0.678069i | ||||
\(915\) | −22.3077 | + | 34.0728i | −0.737469 | + | 1.12641i | ||||
\(916\) | 18.8663 | + | 48.0706i | 0.623361 | + | 1.58830i | ||||
\(917\) | 4.46984 | − | 5.85532i | 0.147607 | − | 0.193360i | ||||
\(918\) | −3.61109 | + | 14.5647i | −0.119184 | + | 0.480707i | ||||
\(919\) | −39.8491 | − | 12.2918i | −1.31450 | − | 0.405469i | −0.443288 | − | 0.896379i | \(-0.646188\pi\) |
−0.871210 | + | 0.490910i | \(0.836664\pi\) | |||||||
\(920\) | 0.105215 | + | 0.131936i | 0.00346885 | + | 0.00434980i | ||||
\(921\) | 16.7748 | + | 33.2273i | 0.552750 | + | 1.09488i | ||||
\(922\) | −16.9845 | + | 21.2979i | −0.559356 | + | 0.701410i | ||||
\(923\) | 39.0081 | + | 26.5953i | 1.28397 | + | 0.875395i | ||||
\(924\) | −44.2567 | − | 23.2484i | −1.45594 | − | 0.764818i | ||||
\(925\) | 11.1326 | − | 7.59007i | 0.366037 | − | 0.249560i | ||||
\(926\) | −2.95707 | + | 39.4594i | −0.0971754 | + | 1.29672i | ||||
\(927\) | −30.7101 | + | 1.15044i | −1.00865 | + | 0.0377856i | ||||
\(928\) | −30.4360 | − | 20.7509i | −0.999111 | − | 0.681182i | ||||
\(929\) | 12.5583 | − | 31.9980i | 0.412024 | − | 1.04982i | −0.562750 | − | 0.826627i | \(-0.690257\pi\) |
0.974774 | − | 0.223194i | \(-0.0716482\pi\) | |||||||
\(930\) | −10.0136 | − | 7.68339i | −0.328360 | − | 0.251948i | ||||
\(931\) | 9.18776 | − | 6.85176i | 0.301117 | − | 0.224557i | ||||
\(932\) | 9.28482 | + | 16.0818i | 0.304134 | + | 0.526776i | ||||
\(933\) | 25.0584 | + | 13.8486i | 0.820375 | + | 0.453382i | ||||
\(934\) | 67.0208 | − | 32.2755i | 2.19299 | − | 1.05609i | ||||
\(935\) | −10.6676 | + | 3.29052i | −0.348867 | + | 0.107611i | ||||
\(936\) | 2.95498 | − | 8.44603i | 0.0965865 | − | 0.276067i | ||||
\(937\) | −6.66843 | − | 3.21135i | −0.217848 | − | 0.104910i | 0.321777 | − | 0.946815i | \(-0.395720\pi\) |
−0.539625 | + | 0.841905i | \(0.681434\pi\) | |||||||
\(938\) | −24.2952 | + | 12.3407i | −0.793265 | + | 0.402938i | ||||
\(939\) | 7.98106 | + | 24.2524i | 0.260452 | + | 0.791446i | ||||
\(940\) | 27.6991 | − | 34.7336i | 0.903445 | − | 1.13288i | ||||
\(941\) | −18.4191 | + | 12.5579i | −0.600446 | + | 0.409377i | −0.825039 | − | 0.565076i | \(-0.808847\pi\) |
0.224593 | + | 0.974453i | \(0.427895\pi\) | |||||||
\(942\) | 0.0358566 | + | 1.91499i | 0.00116827 | + | 0.0623939i | ||||
\(943\) | 0.574027 | − | 0.532620i | 0.0186929 | − | 0.0173445i | ||||
\(944\) | −22.2996 | − | 27.9629i | −0.725792 | − | 0.910114i | ||||
\(945\) | −8.99831 | + | 23.1006i | −0.292715 | + | 0.751463i | ||||
\(946\) | −55.7734 | + | 69.9376i | −1.81335 | + | 2.27387i | ||||
\(947\) | 1.12510 | + | 15.0134i | 0.0365607 | + | 0.487869i | 0.985189 | + | 0.171475i | \(0.0548532\pi\) |
−0.948628 | + | 0.316394i | \(0.897528\pi\) | |||||||
\(948\) | 0.357136 | − | 0.778559i | 0.0115992 | − | 0.0252864i | ||||
\(949\) | 6.69464 | − | 11.5955i | 0.217317 | − | 0.376405i | ||||
\(950\) | −6.01778 | −0.195242 | ||||||||
\(951\) | −15.2906 | + | 1.43419i | −0.495832 | + | 0.0465067i | ||||
\(952\) | 2.69192 | + | 1.75295i | 0.0872455 | + | 0.0568134i | ||||
\(953\) | 6.05181 | − | 26.5147i | 0.196037 | − | 0.858895i | −0.777230 | − | 0.629217i | \(-0.783376\pi\) |
0.973267 | − | 0.229678i | \(-0.0737673\pi\) | |||||||
\(954\) | 18.6450 | − | 35.2818i | 0.603654 | − | 1.14229i | ||||
\(955\) | 35.9172 | + | 5.41365i | 1.16225 | + | 0.175182i | ||||
\(956\) | 14.3204 | − | 17.9572i | 0.463154 | − | 0.580777i | ||||
\(957\) | 5.99321 | + | 35.2688i | 0.193733 | + | 1.14008i | ||||
\(958\) | 15.9897 | − | 4.93216i | 0.516603 | − | 0.159351i | ||||
\(959\) | −22.1354 | + | 28.9965i | −0.714790 | + | 0.936346i | ||||
\(960\) | 14.2412 | − | 31.0460i | 0.459634 | − | 1.00200i | ||||
\(961\) | 13.6529 | + | 23.6476i | 0.440417 | + | 0.762825i | ||||
\(962\) | −27.3400 | − | 47.3543i | −0.881478 | − | 1.52676i | ||||
\(963\) | −0.727137 | + | 19.4560i | −0.0234317 | + | 0.626962i | ||||
\(964\) | 40.5688 | − | 27.6593i | 1.30663 | − | 0.890847i | ||||
\(965\) | 2.76905 | + | 7.05541i | 0.0891387 | + | 0.227122i | ||||
\(966\) | 0.862275 | − | 0.544827i | 0.0277432 | − | 0.0175295i | ||||
\(967\) | −2.33522 | + | 5.95006i | −0.0750958 | + | 0.191341i | −0.963492 | − | 0.267736i | \(-0.913725\pi\) |
0.888397 | + | 0.459077i | \(0.151820\pi\) | |||||||
\(968\) | −1.83197 | − | 8.02638i | −0.0588817 | − | 0.257978i | ||||
\(969\) | −0.0729229 | − | 3.89459i | −0.00234262 | − | 0.125112i | ||||
\(970\) | 16.8674 | + | 8.12291i | 0.541579 | + | 0.260811i | ||||
\(971\) | −15.6739 | − | 39.9364i | −0.502998 | − | 1.28162i | −0.926695 | − | 0.375814i | \(-0.877363\pi\) |
0.423697 | − | 0.905804i | \(-0.360732\pi\) | |||||||
\(972\) | −7.70255 | + | 36.9363i | −0.247059 | + | 1.18473i | ||||
\(973\) | −8.91980 | + | 8.63517i | −0.285956 | + | 0.276831i | ||||
\(974\) | 49.2283 | − | 33.5633i | 1.57738 | − | 1.07544i | ||||
\(975\) | 3.19360 | + | 9.70450i | 0.102277 | + | 0.310793i | ||||
\(976\) | −28.5059 | − | 26.4496i | −0.912452 | − | 0.846632i | ||||
\(977\) | 1.95639 | − | 26.1062i | 0.0625904 | − | 0.835210i | −0.874255 | − | 0.485467i | \(-0.838650\pi\) |
0.936845 | − | 0.349744i | \(-0.113731\pi\) | |||||||
\(978\) | 1.47398 | + | 78.7211i | 0.0471328 | + | 2.51722i | ||||
\(979\) | 16.4428 | − | 28.4797i | 0.525513 | − | 0.910216i | ||||
\(980\) | 23.2575 | + | 19.8141i | 0.742934 | + | 0.632940i | ||||
\(981\) | 2.64279 | − | 2.64302i | 0.0843779 | − | 0.0843853i | ||||
\(982\) | −84.2934 | + | 12.7052i | −2.68991 | + | 0.405439i | ||||
\(983\) | −0.856037 | + | 0.412246i | −0.0273033 | + | 0.0131486i | −0.447486 | − | 0.894291i | \(-0.647680\pi\) |
0.420182 | + | 0.907440i | \(0.361966\pi\) | |||||||
\(984\) | 10.6179 | + | 3.93945i | 0.338486 | + | 0.125585i | ||||
\(985\) | −9.78062 | + | 4.71010i | −0.311637 | + | 0.150076i | ||||
\(986\) | −0.988983 | − | 13.1971i | −0.0314956 | − | 0.420280i | ||||
\(987\) | −33.0641 | − | 32.8985i | −1.05244 | − | 1.04717i | ||||
\(988\) | −0.999306 | + | 13.3348i | −0.0317922 | + | 0.424237i | ||||
\(989\) | −0.365106 | − | 0.930275i | −0.0116097 | − | 0.0295810i | ||||
\(990\) | −48.3867 | + | 16.9336i | −1.53783 | + | 0.538186i | ||||
\(991\) | 4.96357 | − | 12.6470i | 0.157673 | − | 0.401744i | −0.830106 | − | 0.557606i | \(-0.811720\pi\) |
0.987779 | + | 0.155862i | \(0.0498154\pi\) | |||||||
\(992\) | 11.3254 | − | 10.5085i | 0.359583 | − | 0.333644i | ||||
\(993\) | 50.9193 | − | 30.6834i | 1.61588 | − | 0.973708i | ||||
\(994\) | −55.9205 | + | 54.1361i | −1.77369 | + | 1.71709i | ||||
\(995\) | −18.9890 | − | 2.86212i | −0.601990 | − | 0.0907354i | ||||
\(996\) | −27.7682 | + | 42.4132i | −0.879869 | + | 1.34391i | ||||
\(997\) | 3.24730 | + | 14.2274i | 0.102843 | + | 0.450585i | 0.999961 | + | 0.00879467i | \(0.00279947\pi\) |
−0.897118 | + | 0.441791i | \(0.854343\pi\) | |||||||
\(998\) | 33.2721 | + | 57.6290i | 1.05321 | + | 1.82422i | ||||
\(999\) | 24.3831 | + | 31.7724i | 0.771448 | + | 1.00523i |
(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 | 441.2.z.a.142.46 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.46 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.46 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.46 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.46 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.46 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.46 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.46 | yes | 648 | 441.382 | even | 21 | inner |