Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.9 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.9 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15236 | − | 0.785668i | −0.814843 | − | 0.555551i | 0.0826500 | − | 0.996579i | \(-0.473662\pi\) |
−0.897493 | + | 0.441028i | \(0.854614\pi\) | |||||||
\(3\) | 1.86576 | + | 1.73118i | 1.07720 | + | 0.999495i | 0.999997 | + | 0.00247905i | \(0.000789108\pi\) |
0.0772020 | + | 0.997015i | \(0.475401\pi\) | |||||||
\(4\) | −0.0200159 | − | 0.0509996i | −0.0100079 | − | 0.0254998i | ||||
\(5\) | −1.72793 | + | 0.532996i | −0.772754 | + | 0.238363i | −0.655963 | − | 0.754793i | \(-0.727737\pi\) |
−0.116792 | + | 0.993156i | \(0.537261\pi\) | |||||||
\(6\) | −0.789908 | − | 3.46081i | −0.322478 | − | 1.41287i | ||||
\(7\) | −0.964248 | − | 2.46378i | −0.364452 | − | 0.931222i | ||||
\(8\) | −0.637707 | + | 2.79398i | −0.225464 | + | 0.987820i | ||||
\(9\) | 0.259914 | + | 3.46832i | 0.0866381 | + | 1.15611i | ||||
\(10\) | 2.40996 | + | 0.743375i | 0.762097 | + | 0.235076i | ||||
\(11\) | 0.185892 | − | 2.48055i | 0.0560485 | − | 0.747915i | −0.896406 | − | 0.443234i | \(-0.853831\pi\) |
0.952455 | − | 0.304681i | \(-0.0985498\pi\) | |||||||
\(12\) | 0.0509444 | − | 0.129804i | 0.0147064 | − | 0.0374713i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | −0.824550 | + | 3.59675i | −0.220370 | + | 0.961272i | ||||
\(15\) | −4.14662 | − | 1.99691i | −1.07065 | − | 0.515599i | ||||
\(16\) | 2.84968 | − | 2.64412i | 0.712421 | − | 0.661030i | ||||
\(17\) | 7.11388 | − | 1.07224i | 1.72537 | − | 0.260058i | 0.789842 | − | 0.613311i | \(-0.210163\pi\) |
0.935528 | + | 0.353253i | \(0.114925\pi\) | |||||||
\(18\) | 2.42543 | − | 4.20096i | 0.571679 | − | 0.990176i | ||||
\(19\) | −1.55764 | − | 2.69791i | −0.357347 | − | 0.618943i | 0.630170 | − | 0.776457i | \(-0.282985\pi\) |
−0.987517 | + | 0.157514i | \(0.949652\pi\) | |||||||
\(20\) | 0.0617687 | + | 0.0774555i | 0.0138119 | + | 0.0173196i | ||||
\(21\) | 2.46618 | − | 6.26612i | 0.538165 | − | 1.36738i | ||||
\(22\) | −2.16310 | + | 2.71245i | −0.461175 | + | 0.578296i | ||||
\(23\) | 8.21367 | + | 1.23801i | 1.71267 | + | 0.258143i | 0.930860 | − | 0.365376i | \(-0.119060\pi\) |
0.781808 | + | 0.623520i | \(0.214298\pi\) | |||||||
\(24\) | −6.02668 | + | 4.10892i | −1.23019 | + | 0.838729i | ||||
\(25\) | −1.42953 | + | 0.974638i | −0.285906 | + | 0.194928i | ||||
\(26\) | −1.37913 | − | 0.207871i | −0.270470 | − | 0.0407668i | ||||
\(27\) | −0.758605 | + | 0.951261i | −0.145994 | + | 0.183070i | ||||
\(28\) | −0.106352 | + | 0.0984911i | −0.0200986 | + | 0.0186131i | ||||
\(29\) | −5.32693 | − | 6.67976i | −0.989186 | − | 1.24040i | −0.970631 | − | 0.240572i | \(-0.922665\pi\) |
−0.0185541 | − | 0.999828i | \(-0.505906\pi\) | |||||||
\(30\) | 3.20951 | + | 5.55903i | 0.585973 | + | 1.01493i | ||||
\(31\) | 4.83641 | − | 8.37692i | 0.868646 | − | 1.50454i | 0.00526445 | − | 0.999986i | \(-0.498324\pi\) |
0.863381 | − | 0.504552i | \(-0.168342\pi\) | |||||||
\(32\) | 0.306373 | − | 0.0461782i | 0.0541595 | − | 0.00816324i | ||||
\(33\) | 4.64110 | − | 4.30631i | 0.807912 | − | 0.749633i | ||||
\(34\) | −9.04020 | − | 4.35353i | −1.55038 | − | 0.746624i | ||||
\(35\) | 2.97934 | + | 3.74331i | 0.503601 | + | 0.632734i | ||||
\(36\) | 0.171680 | − | 0.0826769i | 0.0286134 | − | 0.0137795i | ||||
\(37\) | −0.590165 | + | 1.50372i | −0.0970225 | + | 0.247209i | −0.971142 | − | 0.238501i | \(-0.923344\pi\) |
0.874120 | + | 0.485711i | \(0.161439\pi\) | |||||||
\(38\) | −0.324695 | + | 4.33276i | −0.0526725 | + | 0.702866i | ||||
\(39\) | 2.43212 | + | 0.750211i | 0.389451 | + | 0.120130i | ||||
\(40\) | −0.387265 | − | 5.16770i | −0.0612320 | − | 0.817085i | ||||
\(41\) | −0.591849 | + | 2.59306i | −0.0924314 | + | 0.404968i | −0.999885 | − | 0.0151846i | \(-0.995166\pi\) |
0.907453 | + | 0.420153i | \(0.138024\pi\) | |||||||
\(42\) | −7.76502 | + | 5.28324i | −1.19817 | + | 0.815222i | ||||
\(43\) | 1.01510 | + | 4.44745i | 0.154802 | + | 0.678230i | 0.991450 | + | 0.130489i | \(0.0416548\pi\) |
−0.836648 | + | 0.547741i | \(0.815488\pi\) | |||||||
\(44\) | −0.130228 | + | 0.0401700i | −0.0196326 | + | 0.00605586i | ||||
\(45\) | −2.29771 | − | 5.85448i | −0.342523 | − | 0.872734i | ||||
\(46\) | −8.49246 | − | 7.87985i | −1.25214 | − | 1.16182i | ||||
\(47\) | 6.50246 | + | 4.43330i | 0.948481 | + | 0.646663i | 0.935528 | − | 0.353253i | \(-0.114924\pi\) |
0.0129531 | + | 0.999916i | \(0.495877\pi\) | |||||||
\(48\) | 9.89427 | 1.42812 | ||||||||
\(49\) | −5.14045 | + | 4.75140i | −0.734350 | + | 0.678771i | ||||
\(50\) | 2.41308 | 0.341261 | ||||||||
\(51\) | 15.1291 | + | 10.3148i | 2.11849 | + | 1.44436i | ||||
\(52\) | −0.0401616 | − | 0.0372645i | −0.00556941 | − | 0.00516766i | ||||
\(53\) | −1.64788 | − | 4.19873i | −0.226353 | − | 0.576739i | 0.771905 | − | 0.635738i | \(-0.219304\pi\) |
−0.998258 | + | 0.0589992i | \(0.981209\pi\) | |||||||
\(54\) | 1.62156 | − | 0.500186i | 0.220667 | − | 0.0680667i | ||||
\(55\) | 1.00092 | + | 4.38530i | 0.134964 | + | 0.591314i | ||||
\(56\) | 7.49866 | − | 1.12292i | 1.00205 | − | 0.150056i | ||||
\(57\) | 1.76437 | − | 7.73021i | 0.233696 | − | 1.02389i | ||||
\(58\) | 0.890485 | + | 11.8827i | 0.116926 | + | 1.56027i | ||||
\(59\) | 9.86934 | + | 3.04429i | 1.28488 | + | 0.396332i | 0.860638 | − | 0.509217i | \(-0.170065\pi\) |
0.424240 | + | 0.905550i | \(0.360541\pi\) | |||||||
\(60\) | −0.0188433 | + | 0.251446i | −0.00243266 | + | 0.0324615i | ||||
\(61\) | 2.14718 | − | 5.47093i | 0.274918 | − | 0.700480i | −0.725013 | − | 0.688735i | \(-0.758166\pi\) |
0.999931 | − | 0.0117448i | \(-0.00373858\pi\) | |||||||
\(62\) | −12.1548 | + | 5.85343i | −1.54366 | + | 0.743386i | ||||
\(63\) | 8.29455 | − | 3.98469i | 1.04502 | − | 0.502024i | ||||
\(64\) | −7.39423 | − | 3.56087i | −0.924279 | − | 0.445109i | ||||
\(65\) | −1.32555 | + | 1.22993i | −0.164415 | + | 0.152555i | ||||
\(66\) | −8.73156 | + | 1.31607i | −1.07478 | + | 0.161997i | ||||
\(67\) | 1.07641 | − | 1.86439i | 0.131504 | − | 0.227772i | −0.792752 | − | 0.609544i | \(-0.791353\pi\) |
0.924257 | + | 0.381772i | \(0.124686\pi\) | |||||||
\(68\) | −0.197075 | − | 0.341343i | −0.0238988 | − | 0.0413940i | ||||
\(69\) | 13.1815 | + | 16.5291i | 1.58687 | + | 1.98987i | ||||
\(70\) | −0.492288 | − | 6.65442i | −0.0588397 | − | 0.795355i | ||||
\(71\) | −0.825710 | + | 1.03541i | −0.0979938 | + | 0.122880i | −0.828410 | − | 0.560121i | \(-0.810754\pi\) |
0.730417 | + | 0.683002i | \(0.239326\pi\) | |||||||
\(72\) | −9.85614 | − | 1.48557i | −1.16156 | − | 0.175077i | ||||
\(73\) | −6.46159 | + | 4.40544i | −0.756272 | + | 0.515618i | −0.878999 | − | 0.476823i | \(-0.841788\pi\) |
0.122727 | + | 0.992440i | \(0.460836\pi\) | |||||||
\(74\) | 1.86150 | − | 1.26915i | 0.216396 | − | 0.147536i | ||||
\(75\) | −4.35444 | − | 0.656326i | −0.502807 | − | 0.0757860i | ||||
\(76\) | −0.106415 | + | 0.133440i | −0.0122066 | + | 0.0153066i | ||||
\(77\) | −6.29079 | + | 1.93387i | −0.716902 | + | 0.220385i | ||||
\(78\) | −2.21327 | − | 2.77536i | −0.250604 | − | 0.314247i | ||||
\(79\) | −5.70950 | − | 9.88914i | −0.642369 | − | 1.11261i | −0.984903 | − | 0.173110i | \(-0.944619\pi\) |
0.342534 | − | 0.939505i | \(-0.388715\pi\) | |||||||
\(80\) | −3.51475 | + | 6.08773i | −0.392961 | + | 0.680629i | ||||
\(81\) | 7.25540 | − | 1.09358i | 0.806156 | − | 0.121508i | ||||
\(82\) | 2.71931 | − | 2.52315i | 0.300298 | − | 0.278635i | ||||
\(83\) | −14.3242 | − | 6.89819i | −1.57229 | − | 0.757175i | −0.574185 | − | 0.818725i | \(-0.694681\pi\) |
−0.998104 | + | 0.0615508i | \(0.980395\pi\) | |||||||
\(84\) | −0.368933 | 0.000352414i | −0.0402538 | 3.84516e-5i | ||||||
\(85\) | −11.7208 | + | 5.64444i | −1.27130 | + | 0.612225i | ||||
\(86\) | 2.32445 | − | 5.92261i | 0.250652 | − | 0.638651i | ||||
\(87\) | 1.62504 | − | 21.6847i | 0.174223 | − | 2.32484i | ||||
\(88\) | 6.81206 | + | 2.10124i | 0.726168 | + | 0.223993i | ||||
\(89\) | −0.638431 | − | 8.51927i | −0.0676735 | − | 0.903041i | −0.922963 | − | 0.384890i | \(-0.874240\pi\) |
0.855289 | − | 0.518151i | \(-0.173380\pi\) | |||||||
\(90\) | −1.95187 | + | 8.55172i | −0.205746 | + | 0.901430i | ||||
\(91\) | −1.93775 | − | 1.80142i | −0.203132 | − | 0.188840i | ||||
\(92\) | −0.101266 | − | 0.443674i | −0.0105577 | − | 0.0462562i | ||||
\(93\) | 23.5255 | − | 7.25666i | 2.43948 | − | 0.752481i | ||||
\(94\) | −4.01009 | − | 10.2175i | −0.413609 | − | 1.05386i | ||||
\(95\) | 4.12947 | + | 3.83159i | 0.423675 | + | 0.393113i | ||||
\(96\) | 0.651561 | + | 0.444227i | 0.0664997 | + | 0.0453387i | ||||
\(97\) | −14.7327 | −1.49588 | −0.747940 | − | 0.663767i | \(-0.768957\pi\) | ||||
−0.747940 | + | 0.663767i | \(0.768957\pi\) | |||||||
\(98\) | 9.65668 | − | 1.43665i | 0.975472 | − | 0.145123i | ||||
\(99\) | 8.65165 | 0.869524 | ||||||||
\(100\) | 0.0783196 | + | 0.0533974i | 0.00783196 | + | 0.00533974i | ||||
\(101\) | −1.54802 | − | 1.43635i | −0.154033 | − | 0.142922i | 0.599392 | − | 0.800456i | \(-0.295409\pi\) |
−0.753425 | + | 0.657534i | \(0.771600\pi\) | |||||||
\(102\) | −9.33015 | − | 23.7728i | −0.923822 | − | 2.35386i | ||||
\(103\) | 5.18509 | − | 1.59939i | 0.510902 | − | 0.157593i | −0.0285766 | − | 0.999592i | \(-0.509097\pi\) |
0.539479 | + | 0.841999i | \(0.318621\pi\) | |||||||
\(104\) | 0.637707 | + | 2.79398i | 0.0625323 | + | 0.273972i | ||||
\(105\) | −0.921573 | + | 12.1419i | −0.0899363 | + | 1.18493i | ||||
\(106\) | −1.39985 | + | 6.13314i | −0.135965 | + | 0.595703i | ||||
\(107\) | 0.301180 | + | 4.01896i | 0.0291161 | + | 0.388528i | 0.992657 | + | 0.120966i | \(0.0385991\pi\) |
−0.963541 | + | 0.267562i | \(0.913782\pi\) | |||||||
\(108\) | 0.0636981 | + | 0.0196483i | 0.00612935 | + | 0.00189066i | ||||
\(109\) | −0.320803 | + | 4.28081i | −0.0307273 | + | 0.410028i | 0.960538 | + | 0.278148i | \(0.0897204\pi\) |
−0.991266 | + | 0.131880i | \(0.957899\pi\) | |||||||
\(110\) | 2.29197 | − | 5.83985i | 0.218531 | − | 0.556808i | ||||
\(111\) | −3.70430 | + | 1.78390i | −0.351597 | + | 0.169320i | ||||
\(112\) | −9.26234 | − | 4.47141i | −0.875209 | − | 0.422509i | ||||
\(113\) | 15.5431 | + | 7.48515i | 1.46217 | + | 0.704144i | 0.984660 | − | 0.174483i | \(-0.0558255\pi\) |
0.477509 | + | 0.878627i | \(0.341540\pi\) | |||||||
\(114\) | −8.10657 | + | 7.52179i | −0.759249 | + | 0.704481i | ||||
\(115\) | −14.8525 | + | 2.23865i | −1.38500 | + | 0.208756i | ||||
\(116\) | −0.234042 | + | 0.405373i | −0.0217303 | + | 0.0376379i | ||||
\(117\) | 1.73902 | + | 3.01207i | 0.160772 | + | 0.278466i | ||||
\(118\) | −8.98126 | − | 11.2621i | −0.826792 | − | 1.03676i | ||||
\(119\) | −9.50133 | − | 16.4931i | −0.870985 | − | 1.51192i | ||||
\(120\) | 8.22364 | − | 10.3121i | 0.750713 | − | 0.941364i | ||||
\(121\) | 4.75856 | + | 0.717237i | 0.432596 | + | 0.0652034i | ||||
\(122\) | −6.77266 | + | 4.61752i | −0.613168 | + | 0.418051i | ||||
\(123\) | −5.59330 | + | 3.81344i | −0.504330 | + | 0.343847i | ||||
\(124\) | −0.524025 | − | 0.0789840i | −0.0470588 | − | 0.00709297i | ||||
\(125\) | 7.58784 | − | 9.51485i | 0.678677 | − | 0.851034i | ||||
\(126\) | −12.6890 | − | 1.92495i | −1.13042 | − | 0.171488i | ||||
\(127\) | −4.60677 | − | 5.77671i | −0.408785 | − | 0.512600i | 0.534235 | − | 0.845336i | \(-0.320600\pi\) |
−0.943020 | + | 0.332736i | \(0.892028\pi\) | |||||||
\(128\) | 5.41334 | + | 9.37618i | 0.478476 | + | 0.828745i | ||||
\(129\) | −5.80538 | + | 10.0552i | −0.511135 | + | 0.885312i | ||||
\(130\) | 2.49384 | − | 0.375886i | 0.218724 | − | 0.0329674i | ||||
\(131\) | −12.4170 | + | 11.5213i | −1.08488 | + | 1.00662i | −0.0849277 | + | 0.996387i | \(0.527066\pi\) |
−0.999948 | + | 0.0102302i | \(0.996744\pi\) | |||||||
\(132\) | −0.312516 | − | 0.150500i | −0.0272010 | − | 0.0130993i | ||||
\(133\) | −5.14511 | + | 6.43914i | −0.446138 | + | 0.558344i | ||||
\(134\) | −2.70521 | + | 1.30276i | −0.233694 | + | 0.112541i | ||||
\(135\) | 0.803799 | − | 2.04805i | 0.0691800 | − | 0.176268i | ||||
\(136\) | −1.54074 | + | 20.5598i | −0.132118 | + | 1.76299i | ||||
\(137\) | 1.36767 | + | 0.421872i | 0.116848 | + | 0.0360429i | 0.352628 | − | 0.935764i | \(-0.385288\pi\) |
−0.235780 | + | 0.971807i | \(0.575764\pi\) | |||||||
\(138\) | −2.20351 | − | 29.4039i | −0.187576 | − | 2.50302i | ||||
\(139\) | −3.51349 | + | 15.3936i | −0.298010 | + | 1.30567i | 0.575074 | + | 0.818101i | \(0.304973\pi\) |
−0.873085 | + | 0.487568i | \(0.837884\pi\) | |||||||
\(140\) | 0.131273 | − | 0.226871i | 0.0110946 | − | 0.0191741i | ||||
\(141\) | 4.45723 | + | 19.5284i | 0.375366 | + | 1.64459i | ||||
\(142\) | 1.76500 | − | 0.544432i | 0.148116 | − | 0.0456877i | ||||
\(143\) | −0.908789 | − | 2.31556i | −0.0759967 | − | 0.193636i | ||||
\(144\) | 9.91132 | + | 9.19636i | 0.825943 | + | 0.766363i | ||||
\(145\) | 12.7648 | + | 8.70293i | 1.06006 | + | 0.722739i | ||||
\(146\) | 10.9073 | 0.902695 | ||||||||
\(147\) | −17.8164 | − | 0.0340374i | −1.46947 | − | 0.00280736i | ||||
\(148\) | 0.0885016 | 0.00727479 | ||||||||
\(149\) | 4.66134 | + | 3.17805i | 0.381872 | + | 0.260356i | 0.739008 | − | 0.673697i | \(-0.235295\pi\) |
−0.357136 | + | 0.934052i | \(0.616247\pi\) | |||||||
\(150\) | 4.50224 | + | 4.17747i | 0.367606 | + | 0.341089i | ||||
\(151\) | 8.39720 | + | 21.3957i | 0.683354 | + | 1.74116i | 0.671249 | + | 0.741232i | \(0.265758\pi\) |
0.0121054 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(152\) | 8.53122 | − | 2.63153i | 0.691973 | − | 0.213445i | ||||
\(153\) | 5.56788 | + | 24.3945i | 0.450137 | + | 1.97218i | ||||
\(154\) | 8.76865 | + | 2.71395i | 0.706598 | + | 0.218696i | ||||
\(155\) | −3.89213 | + | 17.0525i | −0.312623 | + | 1.36969i | ||||
\(156\) | −0.0104206 | − | 0.139054i | −0.000834318 | − | 0.0111332i | ||||
\(157\) | −9.15594 | − | 2.82423i | −0.730724 | − | 0.225398i | −0.0930026 | − | 0.995666i | \(-0.529646\pi\) |
−0.637721 | + | 0.770268i | \(0.720123\pi\) | |||||||
\(158\) | −1.19016 | + | 15.8816i | −0.0946844 | + | 1.26348i | ||||
\(159\) | 4.19418 | − | 10.6866i | 0.332620 | − | 0.847502i | ||||
\(160\) | −0.504778 | + | 0.243088i | −0.0399062 | + | 0.0192178i | ||||
\(161\) | −4.86982 | − | 21.4304i | −0.383796 | − | 1.68895i | ||||
\(162\) | −9.22004 | − | 4.44014i | −0.724395 | − | 0.348850i | ||||
\(163\) | 8.02804 | − | 7.44893i | 0.628805 | − | 0.583445i | −0.300035 | − | 0.953928i | \(-0.596998\pi\) |
0.928839 | + | 0.370483i | \(0.120808\pi\) | |||||||
\(164\) | 0.144092 | − | 0.0217183i | 0.0112517 | − | 0.00169592i | ||||
\(165\) | −5.72426 | + | 9.91470i | −0.445633 | + | 0.771858i | ||||
\(166\) | 11.0870 | + | 19.2033i | 0.860521 | + | 1.49047i | ||||
\(167\) | −3.58213 | − | 4.49185i | −0.277194 | − | 0.347590i | 0.623673 | − | 0.781685i | \(-0.285640\pi\) |
−0.900867 | + | 0.434095i | \(0.857068\pi\) | |||||||
\(168\) | 15.9347 | + | 10.8864i | 1.22939 | + | 0.839904i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | 17.9413 | + | 2.70421i | 1.37603 | + | 0.207403i | ||||
\(171\) | 8.95235 | − | 6.10361i | 0.684603 | − | 0.466755i | ||||
\(172\) | 0.206500 | − | 0.140789i | 0.0157455 | − | 0.0107351i | ||||
\(173\) | −5.86780 | − | 0.884429i | −0.446121 | − | 0.0672419i | −0.0778597 | − | 0.996964i | \(-0.524809\pi\) |
−0.368261 | + | 0.929722i | \(0.620047\pi\) | |||||||
\(174\) | −18.9096 | + | 23.7119i | −1.43353 | + | 1.79759i | ||||
\(175\) | 3.77972 | + | 2.58226i | 0.285720 | + | 0.195201i | ||||
\(176\) | −6.02915 | − | 7.56031i | −0.454464 | − | 0.569880i | ||||
\(177\) | 13.1436 | + | 22.7655i | 0.987937 | + | 1.71116i | ||||
\(178\) | −5.95761 | + | 10.3189i | −0.446542 | + | 0.773433i | ||||
\(179\) | 21.6979 | − | 3.27043i | 1.62178 | − | 0.244444i | 0.725592 | − | 0.688125i | \(-0.241566\pi\) |
0.896185 | + | 0.443682i | \(0.146328\pi\) | |||||||
\(180\) | −0.252585 | + | 0.234365i | −0.0188266 | + | 0.0174685i | ||||
\(181\) | −8.69298 | − | 4.18632i | −0.646144 | − | 0.311167i | 0.0819576 | − | 0.996636i | \(-0.473883\pi\) |
−0.728102 | + | 0.685469i | \(0.759597\pi\) | |||||||
\(182\) | 0.817677 | + | 3.59832i | 0.0606103 | + | 0.266725i | ||||
\(183\) | 13.4773 | − | 6.49031i | 0.996268 | − | 0.479777i | ||||
\(184\) | −8.69689 | + | 22.1593i | −0.641143 | + | 1.63361i | ||||
\(185\) | 0.218290 | − | 2.91287i | 0.0160490 | − | 0.214159i | ||||
\(186\) | −32.8112 | − | 10.1209i | −2.40584 | − | 0.742102i | ||||
\(187\) | −1.33735 | − | 17.8457i | −0.0977966 | − | 1.30500i | ||||
\(188\) | 0.0959443 | − | 0.420359i | 0.00699746 | − | 0.0306579i | ||||
\(189\) | 3.07518 | + | 0.951786i | 0.223687 | + | 0.0692323i | ||||
\(190\) | −1.74829 | − | 7.65977i | −0.126834 | − | 0.555698i | ||||
\(191\) | −20.7585 | + | 6.40315i | −1.50203 | + | 0.463316i | −0.933267 | − | 0.359184i | \(-0.883055\pi\) |
−0.568766 | + | 0.822500i | \(0.692579\pi\) | |||||||
\(192\) | −7.63139 | − | 19.4445i | −0.550748 | − | 1.40328i | ||||
\(193\) | 1.27697 | + | 1.18485i | 0.0919182 | + | 0.0852876i | 0.724794 | − | 0.688966i | \(-0.241935\pi\) |
−0.632876 | + | 0.774254i | \(0.718126\pi\) | |||||||
\(194\) | 16.9774 | + | 11.5750i | 1.21891 | + | 0.831037i | ||||
\(195\) | −4.60240 | −0.329585 | ||||||||
\(196\) | 0.345210 | + | 0.167058i | 0.0246579 | + | 0.0119327i | ||||
\(197\) | 20.2583 | 1.44335 | 0.721674 | − | 0.692233i | \(-0.243373\pi\) | ||||
0.721674 | + | 0.692233i | \(0.243373\pi\) | |||||||
\(198\) | −9.96984 | − | 6.79732i | −0.708526 | − | 0.483065i | ||||
\(199\) | 7.87394 | + | 7.30595i | 0.558169 | + | 0.517905i | 0.908035 | − | 0.418895i | \(-0.137582\pi\) |
−0.349866 | + | 0.936800i | \(0.613773\pi\) | |||||||
\(200\) | −1.81149 | − | 4.61561i | −0.128092 | − | 0.326373i | ||||
\(201\) | 5.23591 | − | 1.61507i | 0.369313 | − | 0.113918i | ||||
\(202\) | 0.655383 | + | 2.87142i | 0.0461126 | + | 0.202032i | ||||
\(203\) | −11.3210 | + | 19.5653i | −0.794577 | + | 1.37322i | ||||
\(204\) | 0.223231 | − | 0.978037i | 0.0156293 | − | 0.0684763i | ||||
\(205\) | −0.359417 | − | 4.79609i | −0.0251028 | − | 0.334973i | ||||
\(206\) | −7.23170 | − | 2.23068i | −0.503856 | − | 0.155419i | ||||
\(207\) | −2.15896 | + | 28.8094i | −0.150058 | + | 2.00239i | ||||
\(208\) | 1.42024 | − | 3.61870i | 0.0984756 | − | 0.250912i | ||||
\(209\) | −6.98186 | + | 3.36229i | −0.482945 | + | 0.232574i | ||||
\(210\) | 10.6015 | − | 13.2678i | 0.731571 | − | 0.915566i | ||||
\(211\) | −17.6973 | − | 8.52256i | −1.21833 | − | 0.586717i | −0.289485 | − | 0.957183i | \(-0.593484\pi\) |
−0.928846 | + | 0.370465i | \(0.879198\pi\) | |||||||
\(212\) | −0.181150 | + | 0.168082i | −0.0124414 | + | 0.0115439i | ||||
\(213\) | −3.33305 | + | 0.502377i | −0.228377 | + | 0.0344223i | ||||
\(214\) | 2.81050 | − | 4.86793i | 0.192122 | − | 0.332765i | ||||
\(215\) | −4.12450 | − | 7.14384i | −0.281289 | − | 0.487206i | ||||
\(216\) | −2.17403 | − | 2.72615i | −0.147924 | − | 0.185491i | ||||
\(217\) | −25.3024 | − | 3.83845i | −1.71764 | − | 0.260571i | ||||
\(218\) | 3.73298 | − | 4.68101i | 0.252829 | − | 0.317038i | ||||
\(219\) | −19.6824 | − | 2.96664i | −1.33001 | − | 0.200467i | ||||
\(220\) | 0.203615 | − | 0.138822i | 0.0137277 | − | 0.00935939i | ||||
\(221\) | 5.94416 | − | 4.05266i | 0.399847 | − | 0.272611i | ||||
\(222\) | 5.67025 | + | 0.854653i | 0.380562 | + | 0.0573606i | ||||
\(223\) | −1.45015 | + | 1.81844i | −0.0971095 | + | 0.121771i | −0.828012 | − | 0.560711i | \(-0.810528\pi\) |
0.730902 | + | 0.682482i | \(0.239099\pi\) | |||||||
\(224\) | −0.409192 | − | 0.710308i | −0.0273403 | − | 0.0474595i | ||||
\(225\) | −3.75191 | − | 4.70474i | −0.250127 | − | 0.313650i | ||||
\(226\) | −12.0304 | − | 20.8373i | −0.800251 | − | 1.38608i | ||||
\(227\) | −9.17542 | + | 15.8923i | −0.608994 | + | 1.05481i | 0.382412 | + | 0.923992i | \(0.375093\pi\) |
−0.991407 | + | 0.130817i | \(0.958240\pi\) | |||||||
\(228\) | −0.429553 | + | 0.0647447i | −0.0284479 | + | 0.00428782i | ||||
\(229\) | −0.495378 | + | 0.459644i | −0.0327355 | + | 0.0303741i | −0.696371 | − | 0.717682i | \(-0.745203\pi\) |
0.663635 | + | 0.748056i | \(0.269013\pi\) | |||||||
\(230\) | 18.8743 | + | 9.08939i | 1.24454 | + | 0.599337i | ||||
\(231\) | −15.0850 | − | 7.28231i | −0.992520 | − | 0.479141i | ||||
\(232\) | 22.0601 | − | 10.6236i | 1.44832 | − | 0.697473i | ||||
\(233\) | −5.70807 | + | 14.5439i | −0.373948 | + | 0.952803i | 0.612756 | + | 0.790272i | \(0.290061\pi\) |
−0.986703 | + | 0.162531i | \(0.948034\pi\) | |||||||
\(234\) | 0.362505 | − | 4.83729i | 0.0236977 | − | 0.316224i | ||||
\(235\) | −13.5987 | − | 4.19465i | −0.887084 | − | 0.273629i | ||||
\(236\) | −0.0422859 | − | 0.564267i | −0.00275258 | − | 0.0367306i | ||||
\(237\) | 6.46726 | − | 28.3349i | 0.420094 | − | 1.84055i | ||||
\(238\) | −2.00915 | + | 26.4710i | −0.130234 | + | 1.71586i | ||||
\(239\) | 1.10253 | + | 4.83050i | 0.0713167 | + | 0.312459i | 0.997987 | − | 0.0634158i | \(-0.0201994\pi\) |
−0.926670 | + | 0.375875i | \(0.877342\pi\) | |||||||
\(240\) | −17.0966 | + | 5.27361i | −1.10358 | + | 0.340410i | ||||
\(241\) | 2.64117 | + | 6.72958i | 0.170132 | + | 0.433490i | 0.990355 | − | 0.138554i | \(-0.0442456\pi\) |
−0.820222 | + | 0.572045i | \(0.806150\pi\) | |||||||
\(242\) | −4.92007 | − | 4.56516i | −0.316274 | − | 0.293460i | ||||
\(243\) | 18.4459 | + | 12.5762i | 1.18331 | + | 0.806764i | ||||
\(244\) | −0.321993 | −0.0206135 | ||||||||
\(245\) | 6.34987 | − | 10.9499i | 0.405678 | − | 0.699565i | ||||
\(246\) | 9.44160 | 0.601975 | ||||||||
\(247\) | −2.57396 | − | 1.75490i | −0.163777 | − | 0.111662i | ||||
\(248\) | 20.3207 | + | 18.8548i | 1.29037 | + | 1.19728i | ||||
\(249\) | −14.7837 | − | 37.6682i | −0.936876 | − | 2.38712i | ||||
\(250\) | −16.2194 | + | 5.00304i | −1.02581 | + | 0.316420i | ||||
\(251\) | 1.57010 | + | 6.87904i | 0.0991036 | + | 0.434201i | 1.00000 | 0.000166985i | \(5.31529e-5\pi\) | |
−0.900896 | + | 0.434034i | \(0.857090\pi\) | |||||||
\(252\) | −0.369241 | − | 0.343262i | −0.0232600 | − | 0.0216235i | ||||
\(253\) | 4.59780 | − | 20.1443i | 0.289061 | − | 1.26646i | ||||
\(254\) | 0.770099 | + | 10.2763i | 0.0483203 | + | 0.644790i | ||||
\(255\) | −31.6397 | − | 9.75957i | −1.98136 | − | 0.611168i | ||||
\(256\) | −0.0981870 | + | 1.31021i | −0.00613669 | + | 0.0818884i | ||||
\(257\) | −7.26238 | + | 18.5042i | −0.453015 | + | 1.15426i | 0.503866 | + | 0.863782i | \(0.331910\pi\) |
−0.956881 | + | 0.290481i | \(0.906185\pi\) | |||||||
\(258\) | 14.5899 | − | 7.02615i | 0.908330 | − | 0.437429i | ||||
\(259\) | 4.27389 | + | 0.00408254i | 0.265567 | + | 0.000253677i | ||||
\(260\) | 0.0892583 | + | 0.0429846i | 0.00553557 | + | 0.00266579i | ||||
\(261\) | 21.7830 | − | 20.2116i | 1.34833 | − | 1.25107i | ||||
\(262\) | 23.3607 | − | 3.52106i | 1.44323 | − | 0.217532i | ||||
\(263\) | −2.56577 | + | 4.44405i | −0.158212 | + | 0.274032i | −0.934224 | − | 0.356687i | \(-0.883906\pi\) |
0.776012 | + | 0.630718i | \(0.217240\pi\) | |||||||
\(264\) | 9.07208 | + | 15.7133i | 0.558348 | + | 0.967086i | ||||
\(265\) | 5.08533 | + | 6.37680i | 0.312389 | + | 0.391723i | ||||
\(266\) | 10.9881 | − | 3.37788i | 0.673721 | − | 0.207111i | ||||
\(267\) | 13.5572 | − | 17.0002i | 0.829686 | − | 1.04039i | ||||
\(268\) | −0.116629 | − | 0.0175789i | −0.00712423 | − | 0.00107380i | ||||
\(269\) | −10.4134 | + | 7.09971i | −0.634914 | + | 0.432877i | −0.837538 | − | 0.546380i | \(-0.816006\pi\) |
0.202624 | + | 0.979257i | \(0.435053\pi\) | |||||||
\(270\) | −2.53535 | + | 1.72857i | −0.154297 | + | 0.105198i | ||||
\(271\) | −14.9743 | − | 2.25701i | −0.909622 | − | 0.137103i | −0.322469 | − | 0.946580i | \(-0.604513\pi\) |
−0.587152 | + | 0.809477i | \(0.699751\pi\) | |||||||
\(272\) | 17.4372 | − | 21.8655i | 1.05728 | − | 1.32579i | ||||
\(273\) | −0.496815 | − | 6.71561i | −0.0300686 | − | 0.406447i | ||||
\(274\) | −1.24461 | − | 1.56069i | −0.0751894 | − | 0.0942845i | ||||
\(275\) | 2.15190 | + | 3.72721i | 0.129765 | + | 0.224759i | ||||
\(276\) | 0.579139 | − | 1.00310i | 0.0348601 | − | 0.0603795i | ||||
\(277\) | −2.58689 | + | 0.389911i | −0.155431 | + | 0.0234275i | −0.226297 | − | 0.974058i | \(-0.572662\pi\) |
0.0708656 | + | 0.997486i | \(0.477424\pi\) | |||||||
\(278\) | 16.1431 | − | 14.9786i | 0.968198 | − | 0.898356i | ||||
\(279\) | 30.3108 | + | 14.5969i | 1.81466 | + | 0.873895i | ||||
\(280\) | −12.3587 | + | 5.93708i | −0.738571 | + | 0.354808i | ||||
\(281\) | 13.0075 | − | 6.26408i | 0.775962 | − | 0.373684i | −0.00361211 | − | 0.999993i | \(-0.501150\pi\) |
0.779574 | + | 0.626310i | \(0.215435\pi\) | |||||||
\(282\) | 10.2065 | − | 26.0057i | 0.607787 | − | 1.54862i | ||||
\(283\) | 1.50852 | − | 20.1298i | 0.0896720 | − | 1.19659i | −0.752948 | − | 0.658080i | \(-0.771369\pi\) |
0.842620 | − | 0.538509i | \(-0.181012\pi\) | |||||||
\(284\) | 0.0693327 | + | 0.0213863i | 0.00411414 | + | 0.00126904i | ||||
\(285\) | 1.07146 | + | 14.2977i | 0.0634679 | + | 0.846921i | ||||
\(286\) | −0.772003 | + | 3.38237i | −0.0456495 | + | 0.200003i | ||||
\(287\) | 6.95943 | − | 1.04217i | 0.410802 | − | 0.0615172i | ||||
\(288\) | 0.239791 | + | 1.05059i | 0.0141298 | + | 0.0619069i | ||||
\(289\) | 33.2128 | − | 10.2448i | 1.95370 | − | 0.602636i | ||||
\(290\) | −7.87213 | − | 20.0579i | −0.462267 | − | 1.17784i | ||||
\(291\) | −27.4877 | − | 25.5049i | −1.61136 | − | 1.49512i | ||||
\(292\) | 0.354010 | + | 0.241360i | 0.0207169 | + | 0.0141245i | ||||
\(293\) | 29.7001 | 1.73510 | 0.867550 | − | 0.497350i | \(-0.165693\pi\) | ||||
0.867550 | + | 0.497350i | \(0.165693\pi\) | |||||||
\(294\) | 20.5042 | + | 14.0370i | 1.19583 | + | 0.818652i | ||||
\(295\) | −18.6761 | −1.08737 | ||||||||
\(296\) | −3.82500 | − | 2.60784i | −0.222323 | − | 0.151577i | ||||
\(297\) | 2.21863 | + | 2.05859i | 0.128738 | + | 0.119452i | ||||
\(298\) | −2.87466 | − | 7.32452i | −0.166525 | − | 0.424298i | ||||
\(299\) | 7.93741 | − | 2.44837i | 0.459032 | − | 0.141593i | ||||
\(300\) | 0.0536855 | + | 0.235212i | 0.00309954 | + | 0.0135800i | ||||
\(301\) | 9.97874 | − | 6.78944i | 0.575165 | − | 0.391337i | ||||
\(302\) | 7.13330 | − | 31.2530i | 0.410475 | − | 1.79841i | ||||
\(303\) | −0.401659 | − | 5.35977i | −0.0230747 | − | 0.307911i | ||||
\(304\) | −11.5724 | − | 3.56961i | −0.663721 | − | 0.204731i | ||||
\(305\) | −0.794197 | + | 10.5978i | −0.0454756 | + | 0.606830i | ||||
\(306\) | 12.7497 | − | 32.4858i | 0.728854 | − | 1.85709i | ||||
\(307\) | −2.12162 | + | 1.02172i | −0.121087 | + | 0.0583126i | −0.493447 | − | 0.869776i | \(-0.664263\pi\) |
0.372359 | + | 0.928089i | \(0.378549\pi\) | |||||||
\(308\) | 0.224542 | + | 0.282120i | 0.0127945 | + | 0.0160753i | ||||
\(309\) | 12.4430 | + | 5.99222i | 0.707856 | + | 0.340886i | ||||
\(310\) | 17.8828 | − | 16.5928i | 1.01567 | − | 0.942406i | ||||
\(311\) | 10.1963 | − | 1.53685i | 0.578180 | − | 0.0871466i | 0.146560 | − | 0.989202i | \(-0.453180\pi\) |
0.431621 | + | 0.902055i | \(0.357942\pi\) | |||||||
\(312\) | −3.64705 | + | 6.31688i | −0.206474 | + | 0.357623i | ||||
\(313\) | −4.06330 | − | 7.03784i | −0.229671 | − | 0.397802i | 0.728039 | − | 0.685535i | \(-0.240432\pi\) |
−0.957711 | + | 0.287733i | \(0.907098\pi\) | |||||||
\(314\) | 8.33205 | + | 10.4481i | 0.470205 | + | 0.589618i | ||||
\(315\) | −12.2086 | + | 11.3062i | −0.687876 | + | 0.637034i | ||||
\(316\) | −0.390062 | + | 0.489122i | −0.0219427 | + | 0.0275153i | ||||
\(317\) | 17.2251 | + | 2.59627i | 0.967458 | + | 0.145821i | 0.613720 | − | 0.789524i | \(-0.289672\pi\) |
0.353738 | + | 0.935345i | \(0.384910\pi\) | |||||||
\(318\) | −13.2293 | + | 9.01960i | −0.741864 | + | 0.505794i | ||||
\(319\) | −17.5597 | + | 11.9720i | −0.983155 | + | 0.670304i | ||||
\(320\) | 14.6747 | + | 2.21185i | 0.820338 | + | 0.123646i | ||||
\(321\) | −6.39560 | + | 8.01983i | −0.356968 | + | 0.447623i | ||||
\(322\) | −11.2254 | + | 28.5217i | −0.625567 | + | 1.58945i | ||||
\(323\) | −13.9737 | − | 17.5224i | −0.777516 | − | 0.974974i | ||||
\(324\) | −0.200995 | − | 0.348134i | −0.0111664 | − | 0.0193408i | ||||
\(325\) | −0.865084 | + | 1.49837i | −0.0479862 | + | 0.0831146i | ||||
\(326\) | −15.1036 | + | 2.27650i | −0.836511 | + | 0.126084i | ||||
\(327\) | −8.00938 | + | 7.43162i | −0.442920 | + | 0.410970i | ||||
\(328\) | −6.86753 | − | 3.30723i | −0.379196 | − | 0.182611i | ||||
\(329\) | 4.65270 | − | 20.2954i | 0.256512 | − | 1.11892i | ||||
\(330\) | 14.3861 | − | 6.92797i | 0.791927 | − | 0.381372i | ||||
\(331\) | 0.884242 | − | 2.25301i | 0.0486023 | − | 0.123837i | −0.904511 | − | 0.426450i | \(-0.859764\pi\) |
0.953113 | + | 0.302614i | \(0.0978592\pi\) | |||||||
\(332\) | −0.0650929 | + | 0.868604i | −0.00357244 | + | 0.0476709i | ||||
\(333\) | −5.36875 | − | 1.65604i | −0.294206 | − | 0.0907505i | ||||
\(334\) | 0.598813 | + | 7.99061i | 0.0327656 | + | 0.437227i | ||||
\(335\) | −0.866245 | + | 3.79527i | −0.0473280 | + | 0.207358i | ||||
\(336\) | −9.54054 | − | 24.3773i | −0.520479 | − | 1.32989i | ||||
\(337\) | 0.264506 | + | 1.15888i | 0.0144086 | + | 0.0631281i | 0.981621 | − | 0.190840i | \(-0.0611212\pi\) |
−0.967213 | + | 0.253968i | \(0.918264\pi\) | |||||||
\(338\) | −1.33275 | + | 0.411098i | −0.0724918 | + | 0.0223608i | ||||
\(339\) | 16.0416 | + | 40.8733i | 0.871259 | + | 2.21993i | ||||
\(340\) | 0.522466 | + | 0.484778i | 0.0283347 | + | 0.0262908i | ||||
\(341\) | −19.8803 | − | 13.5542i | −1.07658 | − | 0.734000i | ||||
\(342\) | −15.1118 | −0.817150 | ||||||||
\(343\) | 16.6631 | + | 8.08342i | 0.899722 | + | 0.436464i | ||||
\(344\) | −13.0734 | −0.704871 | ||||||||
\(345\) | −31.5868 | − | 21.5355i | −1.70057 | − | 1.15943i | ||||
\(346\) | 6.06697 | + | 5.62932i | 0.326162 | + | 0.302634i | ||||
\(347\) | −4.58075 | − | 11.6716i | −0.245908 | − | 0.626562i | 0.753620 | − | 0.657311i | \(-0.228306\pi\) |
−0.999527 | + | 0.0307485i | \(0.990211\pi\) | |||||||
\(348\) | −1.13844 | + | 0.351162i | −0.0610267 | + | 0.0188242i | ||||
\(349\) | −4.82660 | − | 21.1467i | −0.258362 | − | 1.13196i | −0.923002 | − | 0.384794i | \(-0.874272\pi\) |
0.664640 | − | 0.747163i | \(-0.268585\pi\) | |||||||
\(350\) | −2.32681 | − | 5.94531i | −0.124373 | − | 0.317790i | ||||
\(351\) | −0.270743 | + | 1.18620i | −0.0144512 | + | 0.0633148i | ||||
\(352\) | −0.0575954 | − | 0.768557i | −0.00306985 | − | 0.0409642i | ||||
\(353\) | −11.1383 | − | 3.43572i | −0.592834 | − | 0.182865i | −0.0162017 | − | 0.999869i | \(-0.505157\pi\) |
−0.576633 | + | 0.817004i | \(0.695634\pi\) | |||||||
\(354\) | 2.73984 | − | 36.5606i | 0.145621 | − | 1.94317i | ||||
\(355\) | 0.874902 | − | 2.22921i | 0.0464350 | − | 0.118314i | ||||
\(356\) | −0.421701 | + | 0.203080i | −0.0223501 | + | 0.0107632i | ||||
\(357\) | 10.8253 | − | 47.2208i | 0.572936 | − | 2.49919i | ||||
\(358\) | −27.5733 | − | 13.2786i | −1.45729 | − | 0.701796i | ||||
\(359\) | −3.70582 | + | 3.43850i | −0.195586 | + | 0.181477i | −0.771886 | − | 0.635761i | \(-0.780686\pi\) |
0.576300 | + | 0.817238i | \(0.304496\pi\) | |||||||
\(360\) | 17.8225 | − | 2.68632i | 0.939331 | − | 0.141581i | ||||
\(361\) | 4.64752 | − | 8.04974i | 0.244606 | − | 0.423671i | ||||
\(362\) | 6.72841 | + | 11.6539i | 0.353637 | + | 0.612518i | ||||
\(363\) | 7.63668 | + | 9.57609i | 0.400822 | + | 0.502614i | ||||
\(364\) | −0.0530859 | + | 0.134882i | −0.00278246 | + | 0.00706972i | ||||
\(365\) | 8.81710 | − | 11.0563i | 0.461508 | − | 0.578713i | ||||
\(366\) | −20.6299 | − | 3.10946i | −1.07834 | − | 0.162534i | ||||
\(367\) | 14.9762 | − | 10.2106i | 0.781750 | − | 0.532988i | −0.105422 | − | 0.994428i | \(-0.533619\pi\) |
0.887172 | + | 0.461439i | \(0.152667\pi\) | |||||||
\(368\) | 26.6798 | − | 18.1900i | 1.39078 | − | 0.948218i | ||||
\(369\) | −9.14739 | − | 1.37875i | −0.476194 | − | 0.0717747i | ||||
\(370\) | −2.54010 | + | 3.18518i | −0.132053 | + | 0.165590i | ||||
\(371\) | −8.75578 | + | 8.10863i | −0.454578 | + | 0.420979i | ||||
\(372\) | −0.840971 | − | 1.05454i | −0.0436023 | − | 0.0546756i | ||||
\(373\) | −7.96440 | − | 13.7947i | −0.412381 | − | 0.714265i | 0.582769 | − | 0.812638i | \(-0.301969\pi\) |
−0.995150 | + | 0.0983733i | \(0.968636\pi\) | |||||||
\(374\) | −12.4797 | + | 21.6154i | −0.645308 | + | 1.11771i | ||||
\(375\) | 30.6290 | − | 4.61658i | 1.58167 | − | 0.238399i | ||||
\(376\) | −16.5332 | + | 15.3406i | −0.852635 | + | 0.791130i | ||||
\(377\) | −7.69763 | − | 3.70698i | −0.396448 | − | 0.190919i | ||||
\(378\) | −2.79594 | − | 3.51288i | −0.143808 | − | 0.180683i | ||||
\(379\) | −18.2585 | + | 8.79284i | −0.937878 | + | 0.451658i | −0.839420 | − | 0.543483i | \(-0.817105\pi\) |
−0.0984576 | + | 0.995141i | \(0.531391\pi\) | |||||||
\(380\) | 0.112755 | − | 0.287294i | 0.00578419 | − | 0.0147379i | ||||
\(381\) | 1.40535 | − | 18.7531i | 0.0719983 | − | 0.960751i | ||||
\(382\) | 28.9521 | + | 8.93053i | 1.48132 | + | 0.456926i | ||||
\(383\) | 1.22893 | + | 16.3989i | 0.0627954 | + | 0.837946i | 0.936316 | + | 0.351159i | \(0.114212\pi\) |
−0.873521 | + | 0.486787i | \(0.838169\pi\) | |||||||
\(384\) | −6.13180 | + | 26.8652i | −0.312912 | + | 1.37096i | ||||
\(385\) | 9.83930 | − | 6.69456i | 0.501457 | − | 0.341187i | ||||
\(386\) | −0.540630 | − | 2.36865i | −0.0275173 | − | 0.120561i | ||||
\(387\) | −15.1613 | + | 4.67665i | −0.770693 | + | 0.237727i | ||||
\(388\) | 0.294888 | + | 0.751363i | 0.0149707 | + | 0.0381447i | ||||
\(389\) | −4.73573 | − | 4.39412i | −0.240111 | − | 0.222791i | 0.550933 | − | 0.834549i | \(-0.314272\pi\) |
−0.791044 | + | 0.611759i | \(0.790462\pi\) | |||||||
\(390\) | 5.30364 | + | 3.61596i | 0.268560 | + | 0.183101i | ||||
\(391\) | 59.7585 | 3.02212 | ||||||||
\(392\) | −9.99719 | − | 17.3923i | −0.504935 | − | 0.878444i | ||||
\(393\) | −43.1124 | −2.17474 | ||||||||
\(394\) | −23.3450 | − | 15.9163i | −1.17610 | − | 0.801853i | ||||
\(395\) | 15.1365 | + | 14.0446i | 0.761600 | + | 0.706661i | ||||
\(396\) | −0.173170 | − | 0.441231i | −0.00870214 | − | 0.0221727i | ||||
\(397\) | 9.21167 | − | 2.84142i | 0.462321 | − | 0.142607i | −0.0548405 | − | 0.998495i | \(-0.517465\pi\) |
0.517161 | + | 0.855888i | \(0.326989\pi\) | |||||||
\(398\) | −3.33359 | − | 14.6054i | −0.167098 | − | 0.732102i | ||||
\(399\) | −20.7468 | + | 3.10682i | −1.03864 | + | 0.155535i | ||||
\(400\) | −1.49665 | + | 6.55727i | −0.0748327 | + | 0.327863i | ||||
\(401\) | 2.46428 | + | 32.8835i | 0.123060 | + | 1.64212i | 0.627457 | + | 0.778651i | \(0.284096\pi\) |
−0.504397 | + | 0.863472i | \(0.668285\pi\) | |||||||
\(402\) | −7.30258 | − | 2.25255i | −0.364219 | − | 0.112347i | ||||
\(403\) | 0.722851 | − | 9.64578i | 0.0360078 | − | 0.480491i | ||||
\(404\) | −0.0422684 | + | 0.107698i | −0.00210293 | + | 0.00535818i | ||||
\(405\) | −11.9540 | + | 5.75673i | −0.593997 | + | 0.286054i | ||||
\(406\) | 28.4177 | − | 13.6518i | 1.41035 | − | 0.677529i | ||||
\(407\) | 3.62034 | + | 1.74346i | 0.179454 | + | 0.0864203i | ||||
\(408\) | −38.4673 | + | 35.6924i | −1.90441 | + | 1.76704i | ||||
\(409\) | 22.7801 | − | 3.43355i | 1.12640 | − | 0.169778i | 0.440697 | − | 0.897656i | \(-0.354731\pi\) |
0.685707 | + | 0.727878i | \(0.259493\pi\) | |||||||
\(410\) | −3.35395 | + | 5.80921i | −0.165640 | + | 0.286897i | ||||
\(411\) | 1.82142 | + | 3.15480i | 0.0898442 | + | 0.155615i | ||||
\(412\) | −0.185353 | − | 0.232425i | −0.00913166 | − | 0.0114507i | ||||
\(413\) | −2.01603 | − | 27.2513i | −0.0992024 | − | 1.34095i | ||||
\(414\) | 25.1225 | − | 31.5026i | 1.23470 | − | 1.54827i | ||||
\(415\) | 28.4280 | + | 4.28483i | 1.39548 | + | 0.210334i | ||||
\(416\) | 0.255996 | − | 0.174535i | 0.0125512 | − | 0.00855730i | ||||
\(417\) | −33.2044 | + | 22.6384i | −1.62603 | + | 1.10861i | ||||
\(418\) | 10.6873 | + | 1.61085i | 0.522731 | + | 0.0787891i | ||||
\(419\) | −3.16588 | + | 3.96988i | −0.154663 | + | 0.193942i | −0.853126 | − | 0.521705i | \(-0.825296\pi\) |
0.698463 | + | 0.715646i | \(0.253868\pi\) | |||||||
\(420\) | 0.637678 | − | 0.196031i | 0.0311155 | − | 0.00956532i | ||||
\(421\) | −1.01397 | − | 1.27148i | −0.0494178 | − | 0.0619679i | 0.756508 | − | 0.653984i | \(-0.226904\pi\) |
−0.805926 | + | 0.592016i | \(0.798332\pi\) | |||||||
\(422\) | 13.6978 | + | 23.7253i | 0.666798 | + | 1.15493i | ||||
\(423\) | −13.6860 | + | 23.7049i | −0.665436 | + | 1.15257i | ||||
\(424\) | 12.7820 | − | 1.92658i | 0.620749 | − | 0.0935629i | ||||
\(425\) | −9.12447 | + | 8.46627i | −0.442602 | + | 0.410674i | ||||
\(426\) | 4.23559 | + | 2.03975i | 0.205215 | + | 0.0988262i | ||||
\(427\) | −15.5496 | − | 0.0148534i | −0.752497 | − | 0.000718806i | ||||
\(428\) | 0.198937 | − | 0.0958031i | 0.00961600 | − | 0.00463082i | ||||
\(429\) | 2.31305 | − | 5.89355i | 0.111675 | − | 0.284543i | ||||
\(430\) | −0.859766 | + | 11.4728i | −0.0414616 | + | 0.553267i | ||||
\(431\) | −18.5234 | − | 5.71371i | −0.892241 | − | 0.275220i | −0.185459 | − | 0.982652i | \(-0.559377\pi\) |
−0.706781 | + | 0.707432i | \(0.749853\pi\) | |||||||
\(432\) | 0.353463 | + | 4.71664i | 0.0170060 | + | 0.226929i | ||||
\(433\) | 4.88556 | − | 21.4050i | 0.234785 | − | 1.02866i | −0.710828 | − | 0.703366i | \(-0.751680\pi\) |
0.945613 | − | 0.325294i | \(-0.105463\pi\) | |||||||
\(434\) | 26.1418 | + | 24.3026i | 1.25485 | + | 1.16656i | ||||
\(435\) | 8.74989 | + | 38.3358i | 0.419525 | + | 1.83806i | ||||
\(436\) | 0.224741 | − | 0.0693235i | 0.0107631 | − | 0.00331999i | ||||
\(437\) | −9.45388 | − | 24.0881i | −0.452241 | − | 1.15229i | ||||
\(438\) | 20.3505 | + | 18.8825i | 0.972382 | + | 0.902239i | ||||
\(439\) | 22.8171 | + | 15.5564i | 1.08900 | + | 0.742469i | 0.968192 | − | 0.250207i | \(-0.0804987\pi\) |
0.120809 | + | 0.992676i | \(0.461451\pi\) | |||||||
\(440\) | −12.8907 | −0.614541 | ||||||||
\(441\) | −17.8154 | − | 16.5937i | −0.848353 | − | 0.790178i | ||||
\(442\) | −10.0339 | −0.477262 | ||||||||
\(443\) | 27.6198 | + | 18.8309i | 1.31226 | + | 0.894683i | 0.998496 | − | 0.0548188i | \(-0.0174581\pi\) |
0.313762 | + | 0.949502i | \(0.398411\pi\) | |||||||
\(444\) | 0.165123 | + | 0.153212i | 0.00783640 | + | 0.00727111i | ||||
\(445\) | 5.64390 | + | 14.3804i | 0.267547 | + | 0.681698i | ||||
\(446\) | 3.09979 | − | 0.956159i | 0.146779 | − | 0.0452754i | ||||
\(447\) | 3.19520 | + | 13.9991i | 0.151128 | + | 0.662133i | ||||
\(448\) | −1.64334 | + | 21.6513i | −0.0776407 | + | 1.02293i | ||||
\(449\) | −8.37286 | + | 36.6839i | −0.395140 | + | 1.73122i | 0.250986 | + | 0.967991i | \(0.419245\pi\) |
−0.646126 | + | 0.763230i | \(0.723612\pi\) | |||||||
\(450\) | 0.627194 | + | 8.36933i | 0.0295662 | + | 0.394534i | ||||
\(451\) | 6.32221 | + | 1.95014i | 0.297701 | + | 0.0918286i | ||||
\(452\) | 0.0706316 | − | 0.942513i | 0.00332223 | − | 0.0443321i | ||||
\(453\) | −21.3725 | + | 54.4564i | −1.00417 | + | 2.55858i | ||||
\(454\) | 23.0595 | − | 11.1049i | 1.08224 | − | 0.521177i | ||||
\(455\) | 4.30845 | + | 2.07991i | 0.201983 | + | 0.0975079i | ||||
\(456\) | 20.4729 | + | 9.85922i | 0.958730 | + | 0.461700i | ||||
\(457\) | 9.96315 | − | 9.24445i | 0.466057 | − | 0.432437i | −0.411863 | − | 0.911246i | \(-0.635122\pi\) |
0.877919 | + | 0.478809i | \(0.158931\pi\) | |||||||
\(458\) | 0.931983 | − | 0.140474i | 0.0435487 | − | 0.00656391i | ||||
\(459\) | −4.37664 | + | 7.58057i | −0.204284 | + | 0.353831i | ||||
\(460\) | 0.411457 | + | 0.712664i | 0.0191843 | + | 0.0332281i | ||||
\(461\) | −10.0273 | − | 12.5738i | −0.467017 | − | 0.585621i | 0.491421 | − | 0.870922i | \(-0.336478\pi\) |
−0.958438 | + | 0.285302i | \(0.907906\pi\) | |||||||
\(462\) | 11.6619 | + | 20.2436i | 0.542561 | + | 0.941820i | ||||
\(463\) | 10.4346 | − | 13.0846i | 0.484937 | − | 0.608092i | −0.477820 | − | 0.878458i | \(-0.658573\pi\) |
0.962758 | + | 0.270365i | \(0.0871445\pi\) | |||||||
\(464\) | −32.8421 | − | 4.95016i | −1.52466 | − | 0.229805i | ||||
\(465\) | −36.7827 | + | 25.0780i | −1.70576 | + | 1.16297i | ||||
\(466\) | 18.0044 | − | 12.2752i | 0.834040 | − | 0.568639i | ||||
\(467\) | −14.1316 | − | 2.12999i | −0.653931 | − | 0.0985643i | −0.186307 | − | 0.982492i | \(-0.559652\pi\) |
−0.467624 | + | 0.883927i | \(0.654890\pi\) | |||||||
\(468\) | 0.118807 | − | 0.148979i | 0.00549183 | − | 0.00688654i | ||||
\(469\) | −5.63139 | − | 0.854297i | −0.260033 | − | 0.0394478i | ||||
\(470\) | 12.3751 | + | 15.5178i | 0.570819 | + | 0.715785i | ||||
\(471\) | −12.1936 | − | 21.1199i | −0.561850 | − | 0.973153i | ||||
\(472\) | −14.7994 | + | 25.6333i | −0.681198 | + | 1.17987i | ||||
\(473\) | 11.2208 | − | 1.69127i | 0.515934 | − | 0.0777646i | ||||
\(474\) | −29.7145 | + | 27.5710i | −1.36483 | + | 1.26638i | ||||
\(475\) | 4.85618 | + | 2.33861i | 0.222817 | + | 0.107303i | ||||
\(476\) | −0.650967 | + | 0.814689i | −0.0298370 | + | 0.0373412i | ||||
\(477\) | 14.1342 | − | 6.80667i | 0.647160 | − | 0.311656i | ||||
\(478\) | 2.52465 | − | 6.43271i | 0.115475 | − | 0.294225i | ||||
\(479\) | −0.875738 | + | 11.6859i | −0.0400135 | + | 0.533943i | 0.940796 | + | 0.338974i | \(0.110080\pi\) |
−0.980809 | + | 0.194969i | \(0.937539\pi\) | |||||||
\(480\) | −1.36262 | − | 0.420314i | −0.0621950 | − | 0.0191846i | ||||
\(481\) | 0.120718 | + | 1.61086i | 0.00550425 | + | 0.0734491i | ||||
\(482\) | 2.24363 | − | 9.82999i | 0.102195 | − | 0.447744i | ||||
\(483\) | 28.0139 | − | 48.4146i | 1.27468 | − | 2.20294i | ||||
\(484\) | −0.0586679 | − | 0.257041i | −0.00266672 | − | 0.0116837i | ||||
\(485\) | 25.4571 | − | 7.85248i | 1.15595 | − | 0.356563i | ||||
\(486\) | −11.3757 | − | 28.9847i | −0.516010 | − | 1.31477i | ||||
\(487\) | 5.97717 | + | 5.54600i | 0.270851 | + | 0.251313i | 0.803891 | − | 0.594777i | \(-0.202760\pi\) |
−0.533039 | + | 0.846091i | \(0.678950\pi\) | |||||||
\(488\) | 13.9164 | + | 9.48802i | 0.629964 | + | 0.429502i | ||||
\(489\) | 27.8738 | 1.26050 | ||||||||
\(490\) | −15.9204 | + | 7.62940i | −0.719208 | + | 0.344661i | ||||
\(491\) | −3.30470 | −0.149139 | −0.0745695 | − | 0.997216i | \(-0.523758\pi\) | ||||
−0.0745695 | + | 0.997216i | \(0.523758\pi\) | |||||||
\(492\) | 0.306439 | + | 0.208927i | 0.0138153 | + | 0.00941914i | ||||
\(493\) | −45.0575 | − | 41.8072i | −2.02929 | − | 1.88290i | ||||
\(494\) | 1.58737 | + | 4.04456i | 0.0714193 | + | 0.181973i | ||||
\(495\) | −14.9495 | + | 4.61130i | −0.671928 | + | 0.207262i | ||||
\(496\) | −8.36732 | − | 36.6596i | −0.375704 | − | 1.64607i | ||||
\(497\) | 3.34721 | + | 1.03598i | 0.150143 | + | 0.0464700i | ||||
\(498\) | −12.5585 | + | 55.0224i | −0.562760 | + | 2.46561i | ||||
\(499\) | 1.04997 | + | 14.0108i | 0.0470029 | + | 0.627211i | 0.970110 | + | 0.242667i | \(0.0780222\pi\) |
−0.923107 | + | 0.384544i | \(0.874359\pi\) | |||||||
\(500\) | −0.637131 | − | 0.196529i | −0.0284934 | − | 0.00878904i | ||||
\(501\) | 1.09277 | − | 14.5820i | 0.0488215 | − | 0.651477i | ||||
\(502\) | 3.59532 | − | 9.16072i | 0.160467 | − | 0.408863i | ||||
\(503\) | −14.7915 | + | 7.12322i | −0.659521 | + | 0.317609i | −0.733538 | − | 0.679648i | \(-0.762132\pi\) |
0.0740169 | + | 0.997257i | \(0.476418\pi\) | |||||||
\(504\) | 5.84364 | + | 25.7159i | 0.260296 | + | 1.14548i | ||||
\(505\) | 3.44043 | + | 1.65682i | 0.153097 | + | 0.0737277i | ||||
\(506\) | −21.1251 | + | 19.6012i | −0.939123 | + | 0.871379i | ||||
\(507\) | 2.51677 | − | 0.379342i | 0.111774 | − | 0.0168472i | ||||
\(508\) | −0.202402 | + | 0.350570i | −0.00898012 | + | 0.0155540i | ||||
\(509\) | 0.987166 | + | 1.70982i | 0.0437553 | + | 0.0757865i | 0.887074 | − | 0.461628i | \(-0.152734\pi\) |
−0.843318 | + | 0.537414i | \(0.819401\pi\) | |||||||
\(510\) | 28.7927 | + | 36.1049i | 1.27496 | + | 1.59875i | ||||
\(511\) | 17.0846 | + | 11.6720i | 0.755779 | + | 0.516340i | ||||
\(512\) | 14.6432 | − | 18.3620i | 0.647144 | − | 0.811492i | ||||
\(513\) | 3.74805 | + | 0.564927i | 0.165480 | + | 0.0249422i | ||||
\(514\) | 22.9071 | − | 15.6178i | 1.01039 | − | 0.688871i | ||||
\(515\) | −8.10702 | + | 5.52727i | −0.357238 | + | 0.243561i | ||||
\(516\) | 0.629012 | + | 0.0948083i | 0.0276907 | + | 0.00417370i | ||||
\(517\) | 12.2058 | − | 15.3056i | 0.536810 | − | 0.673138i | ||||
\(518\) | −4.92187 | − | 3.36256i | −0.216254 | − | 0.147743i | ||||
\(519\) | −9.41683 | − | 11.8083i | −0.413353 | − | 0.518328i | ||||
\(520\) | −2.59109 | − | 4.48791i | −0.113627 | − | 0.196808i | ||||
\(521\) | −20.4418 | + | 35.4063i | −0.895573 | + | 1.55118i | −0.0624781 | + | 0.998046i | \(0.519900\pi\) |
−0.833094 | + | 0.553131i | \(0.813433\pi\) | |||||||
\(522\) | −40.9815 | + | 6.17696i | −1.79371 | + | 0.270358i | ||||
\(523\) | 5.39988 | − | 5.01035i | 0.236120 | − | 0.219087i | −0.553234 | − | 0.833026i | \(-0.686606\pi\) |
0.789354 | + | 0.613939i | \(0.210416\pi\) | |||||||
\(524\) | 0.836117 | + | 0.402653i | 0.0365259 | + | 0.0175900i | ||||
\(525\) | 2.58172 | + | 11.3613i | 0.112675 | + | 0.495846i | ||||
\(526\) | 6.44824 | − | 3.10531i | 0.281157 | − | 0.135398i | ||||
\(527\) | 25.4236 | − | 64.7782i | 1.10747 | − | 2.82178i | ||||
\(528\) | 1.83926 | − | 24.5433i | 0.0800436 | − | 1.06811i | ||||
\(529\) | 43.9535 | + | 13.5578i | 1.91102 | + | 0.589471i | ||||
\(530\) | −0.850097 | − | 11.3438i | −0.0369259 | − | 0.492741i | ||||
\(531\) | −7.99336 | + | 35.0212i | −0.346882 | + | 1.51979i | ||||
\(532\) | 0.431378 | + | 0.133514i | 0.0187026 | + | 0.00578856i | ||||
\(533\) | 0.591849 | + | 2.59306i | 0.0256358 | + | 0.112318i | ||||
\(534\) | −28.9793 | + | 8.93892i | −1.25406 | + | 0.386825i | ||||
\(535\) | −2.66251 | − | 6.78396i | −0.115110 | − | 0.293296i | ||||
\(536\) | 4.52264 | + | 4.19640i | 0.195348 | + | 0.181257i | ||||
\(537\) | 46.1448 | + | 31.4610i | 1.99130 | + | 1.35764i | ||||
\(538\) | 17.5780 | 0.757841 | ||||||||
\(539\) | 10.8305 | + | 13.6344i | 0.466504 | + | 0.587275i | ||||
\(540\) | −0.120538 | −0.00518715 | ||||||||
\(541\) | 4.30769 | + | 2.93693i | 0.185202 | + | 0.126269i | 0.652372 | − | 0.757899i | \(-0.273774\pi\) |
−0.467170 | + | 0.884168i | \(0.654726\pi\) | |||||||
\(542\) | 15.4825 | + | 14.3657i | 0.665031 | + | 0.617059i | ||||
\(543\) | −8.97179 | − | 22.8597i | −0.385016 | − | 0.981006i | ||||
\(544\) | 2.12998 | − | 0.657013i | 0.0913223 | − | 0.0281692i | ||||
\(545\) | −1.72733 | − | 7.56794i | −0.0739908 | − | 0.324175i | ||||
\(546\) | −4.70373 | + | 8.12915i | −0.201301 | + | 0.347896i | ||||
\(547\) | −4.81392 | + | 21.0912i | −0.205828 | + | 0.901792i | 0.761480 | + | 0.648189i | \(0.224473\pi\) |
−0.967308 | + | 0.253604i | \(0.918384\pi\) | |||||||
\(548\) | −0.00585991 | − | 0.0781950i | −0.000250323 | − | 0.00334033i | ||||
\(549\) | 19.5330 | + | 6.02513i | 0.833647 | + | 0.257146i | ||||
\(550\) | 0.448572 | − | 5.98577i | 0.0191272 | − | 0.255234i | ||||
\(551\) | −9.72395 | + | 24.7762i | −0.414254 | + | 1.05550i | ||||
\(552\) | −54.5880 | + | 26.2882i | −2.32342 | + | 1.11890i | ||||
\(553\) | −18.8593 | + | 23.6025i | −0.801980 | + | 1.00368i | ||||
\(554\) | 3.28738 | + | 1.58312i | 0.139667 | + | 0.0672602i | ||||
\(555\) | 5.44997 | − | 5.05683i | 0.231338 | − | 0.214651i | ||||
\(556\) | 0.855394 | − | 0.128930i | 0.0362768 | − | 0.00546785i | ||||
\(557\) | 17.0484 | − | 29.5288i | 0.722366 | − | 1.25117i | −0.237683 | − | 0.971343i | \(-0.576388\pi\) |
0.960049 | − | 0.279832i | \(-0.0902786\pi\) | |||||||
\(558\) | −23.4607 | − | 40.6352i | −0.993172 | − | 1.72022i | ||||
\(559\) | 2.84425 | + | 3.56658i | 0.120299 | + | 0.150850i | ||||
\(560\) | 18.3879 | + | 2.78950i | 0.777032 | + | 0.117878i | ||||
\(561\) | 28.3988 | − | 35.6110i | 1.19900 | − | 1.50350i | ||||
\(562\) | −19.9108 | − | 3.00108i | −0.839888 | − | 0.126593i | ||||
\(563\) | 19.6134 | − | 13.3722i | 0.826606 | − | 0.563570i | −0.0744744 | − | 0.997223i | \(-0.523728\pi\) |
0.901080 | + | 0.433653i | \(0.142776\pi\) | |||||||
\(564\) | 0.906725 | − | 0.618195i | 0.0381800 | − | 0.0260307i | ||||
\(565\) | −30.8469 | − | 4.64942i | −1.29774 | − | 0.195603i | ||||
\(566\) | −17.5537 | + | 22.0116i | −0.737835 | + | 0.925216i | ||||
\(567\) | −9.69035 | − | 16.8213i | −0.406956 | − | 0.706426i | ||||
\(568\) | −2.36634 | − | 2.96730i | −0.0992896 | − | 0.124505i | ||||
\(569\) | 1.11216 | + | 1.92632i | 0.0466242 | + | 0.0807555i | 0.888396 | − | 0.459078i | \(-0.151820\pi\) |
−0.841771 | + | 0.539834i | \(0.818487\pi\) | |||||||
\(570\) | 9.99850 | − | 17.3179i | 0.418791 | − | 0.725368i | ||||
\(571\) | −7.15127 | + | 1.07788i | −0.299271 | + | 0.0451079i | −0.296962 | − | 0.954889i | \(-0.595973\pi\) |
−0.00230973 | + | 0.999997i | \(0.500735\pi\) | |||||||
\(572\) | −0.0999023 | + | 0.0926958i | −0.00417713 | + | 0.00387581i | ||||
\(573\) | −49.8154 | − | 23.9898i | −2.08107 | − | 1.00219i | ||||
\(574\) | −8.83859 | − | 4.26684i | −0.368915 | − | 0.178095i | ||||
\(575\) | −12.9483 | + | 6.23558i | −0.539982 | + | 0.260042i | ||||
\(576\) | 10.4284 | − | 26.5710i | 0.434515 | − | 1.10713i | ||||
\(577\) | −3.38046 | + | 45.1091i | −0.140730 | + | 1.87792i | 0.265452 | + | 0.964124i | \(0.414479\pi\) |
−0.406182 | + | 0.913792i | \(0.633140\pi\) | |||||||
\(578\) | −46.3223 | − | 14.2885i | −1.92675 | − | 0.594324i | ||||
\(579\) | 0.331331 | + | 4.42131i | 0.0137697 | + | 0.183743i | ||||
\(580\) | 0.188346 | − | 0.825199i | 0.00782066 | − | 0.0342645i | ||||
\(581\) | −3.18351 | + | 41.9434i | −0.132074 | + | 1.74010i | ||||
\(582\) | 11.6375 | + | 50.9871i | 0.482389 | + | 2.11348i | ||||
\(583\) | −10.7215 | + | 3.30714i | −0.444038 | + | 0.136968i | ||||
\(584\) | −8.18809 | − | 20.8629i | −0.338826 | − | 0.863314i | ||||
\(585\) | −4.61033 | − | 4.27776i | −0.190614 | − | 0.176864i | ||||
\(586\) | −34.2253 | − | 23.3344i | −1.41384 | − | 0.963936i | ||||
\(587\) | −42.6622 | −1.76086 | −0.880429 | − | 0.474178i | \(-0.842745\pi\) | ||||
−0.880429 | + | 0.474178i | \(0.842745\pi\) | |||||||
\(588\) | 0.354874 | + | 0.909309i | 0.0146348 | + | 0.0374993i | ||||
\(589\) | −30.1335 | −1.24163 | ||||||||
\(590\) | 21.5217 | + | 14.6732i | 0.886033 | + | 0.604087i | ||||
\(591\) | 37.7973 | + | 35.0708i | 1.55477 | + | 1.44262i | ||||
\(592\) | 2.29422 | + | 5.84558i | 0.0942919 | + | 0.240252i | ||||
\(593\) | −33.0110 | + | 10.1825i | −1.35560 | + | 0.418147i | −0.885571 | − | 0.464504i | \(-0.846233\pi\) |
−0.470028 | + | 0.882651i | \(0.655756\pi\) | |||||||
\(594\) | −0.939302 | − | 4.11535i | −0.0385400 | − | 0.168855i | ||||
\(595\) | 25.2084 | + | 23.4349i | 1.03344 | + | 0.960735i | ||||
\(596\) | 0.0687784 | − | 0.301338i | 0.00281727 | − | 0.0123433i | ||||
\(597\) | 2.04303 | + | 27.2623i | 0.0836156 | + | 1.11577i | ||||
\(598\) | −11.0704 | − | 3.41476i | −0.452701 | − | 0.139640i | ||||
\(599\) | 1.37181 | − | 18.3055i | 0.0560506 | − | 0.747943i | −0.896399 | − | 0.443248i | \(-0.853826\pi\) |
0.952450 | − | 0.304696i | \(-0.0985547\pi\) | |||||||
\(600\) | 4.61062 | − | 11.7477i | 0.188228 | − | 0.479596i | ||||
\(601\) | 37.6422 | − | 18.1275i | 1.53546 | − | 0.739437i | 0.540653 | − | 0.841245i | \(-0.318177\pi\) |
0.994804 | + | 0.101808i | \(0.0324628\pi\) | |||||||
\(602\) | −16.8334 | − | 0.0160797i | −0.686077 | − | 0.000655359i | ||||
\(603\) | 6.74608 | + | 3.24874i | 0.274722 | + | 0.132299i | ||||
\(604\) | 0.923096 | − | 0.856508i | 0.0375603 | − | 0.0348508i | ||||
\(605\) | −8.60474 | + | 1.29696i | −0.349833 | + | 0.0527288i | ||||
\(606\) | −3.74814 | + | 6.49197i | −0.152258 | + | 0.263718i | ||||
\(607\) | −2.48131 | − | 4.29775i | −0.100713 | − | 0.174440i | 0.811266 | − | 0.584678i | \(-0.198779\pi\) |
−0.911979 | + | 0.410238i | \(0.865446\pi\) | |||||||
\(608\) | −0.601803 | − | 0.754637i | −0.0244063 | − | 0.0306046i | ||||
\(609\) | −54.9933 | + | 16.9057i | −2.22844 | + | 0.685052i | ||||
\(610\) | 9.24157 | − | 11.5886i | 0.374180 | − | 0.469207i | ||||
\(611\) | 7.78205 | + | 1.17296i | 0.314828 | + | 0.0474527i | ||||
\(612\) | 1.13266 | − | 0.772237i | 0.0457852 | − | 0.0312158i | ||||
\(613\) | 8.59763 | − | 5.86176i | 0.347255 | − | 0.236754i | −0.377114 | − | 0.926167i | \(-0.623084\pi\) |
0.724369 | + | 0.689412i | \(0.242131\pi\) | |||||||
\(614\) | 3.24761 | + | 0.489499i | 0.131063 | + | 0.0197546i | ||||
\(615\) | 7.63228 | − | 9.57058i | 0.307763 | − | 0.385923i | ||||
\(616\) | −1.39151 | − | 18.8096i | −0.0560657 | − | 0.757859i | ||||
\(617\) | −1.73528 | − | 2.17598i | −0.0698599 | − | 0.0876016i | 0.745674 | − | 0.666311i | \(-0.232128\pi\) |
−0.815534 | + | 0.578710i | \(0.803556\pi\) | |||||||
\(618\) | −9.63093 | − | 16.6813i | −0.387413 | − | 0.671019i | ||||
\(619\) | 1.46999 | − | 2.54610i | 0.0590840 | − | 0.102336i | −0.834970 | − | 0.550295i | \(-0.814515\pi\) |
0.894054 | + | 0.447958i | \(0.147849\pi\) | |||||||
\(620\) | 0.947577 | − | 0.142824i | 0.0380556 | − | 0.00573596i | ||||
\(621\) | −7.40860 | + | 6.87418i | −0.297297 | + | 0.275851i | ||||
\(622\) | −12.9573 | − | 6.23991i | −0.519541 | − | 0.250198i | ||||
\(623\) | −20.3740 | + | 9.78765i | −0.816268 | + | 0.392134i | ||||
\(624\) | 8.91443 | − | 4.29296i | 0.356863 | − | 0.171856i | ||||
\(625\) | −4.87938 | + | 12.4325i | −0.195175 | + | 0.497298i | ||||
\(626\) | −0.847009 | + | 11.3025i | −0.0338533 | + | 0.451741i | ||||
\(627\) | −18.8472 | − | 5.81359i | −0.752685 | − | 0.232172i | ||||
\(628\) | 0.0392293 | + | 0.523479i | 0.00156542 | + | 0.0208891i | ||||
\(629\) | −2.58601 | + | 11.3301i | −0.103111 | + | 0.451759i | ||||
\(630\) | 22.9517 | − | 3.43699i | 0.914416 | − | 0.136933i | ||||
\(631\) | 5.48888 | + | 24.0484i | 0.218509 | + | 0.957350i | 0.958580 | + | 0.284822i | \(0.0919344\pi\) |
−0.740072 | + | 0.672528i | \(0.765208\pi\) | |||||||
\(632\) | 31.2710 | − | 9.64583i | 1.24389 | − | 0.383691i | ||||
\(633\) | −18.2649 | − | 46.5382i | −0.725964 | − | 1.84973i | ||||
\(634\) | −17.8098 | − | 16.5250i | −0.707316 | − | 0.656293i | ||||
\(635\) | 11.0392 | + | 7.52637i | 0.438076 | + | 0.298675i | ||||
\(636\) | −0.628963 | −0.0249400 | ||||||||
\(637\) | −2.56983 | + | 6.51122i | −0.101820 | + | 0.257984i | ||||
\(638\) | 29.6412 | 1.17351 | ||||||||
\(639\) | −3.80573 | − | 2.59471i | −0.150553 | − | 0.102645i | ||||
\(640\) | −14.3513 | − | 13.3161i | −0.567287 | − | 0.526365i | ||||
\(641\) | −1.18335 | − | 3.01513i | −0.0467395 | − | 0.119090i | 0.905598 | − | 0.424138i | \(-0.139423\pi\) |
−0.952337 | + | 0.305048i | \(0.901328\pi\) | |||||||
\(642\) | 13.6710 | − | 4.21694i | 0.539550 | − | 0.166429i | ||||
\(643\) | −2.91073 | − | 12.7528i | −0.114788 | − | 0.502920i | −0.999335 | − | 0.0364681i | \(-0.988389\pi\) |
0.884547 | − | 0.466452i | \(-0.154468\pi\) | |||||||
\(644\) | −0.995471 | + | 0.677308i | −0.0392270 | + | 0.0266897i | ||||
\(645\) | 4.67190 | − | 20.4690i | 0.183956 | − | 0.805964i | ||||
\(646\) | 2.33593 | + | 31.1709i | 0.0919061 | + | 1.22640i | ||||
\(647\) | 33.5169 | + | 10.3386i | 1.31768 | + | 0.406452i | 0.872337 | − | 0.488905i | \(-0.162604\pi\) |
0.445348 | + | 0.895357i | \(0.353080\pi\) | |||||||
\(648\) | −1.57140 | + | 20.9688i | −0.0617302 | + | 0.823733i | ||||
\(649\) | 9.38614 | − | 23.9155i | 0.368438 | − | 0.938765i | ||||
\(650\) | 2.17411 | − | 1.04700i | 0.0852756 | − | 0.0410666i | ||||
\(651\) | −40.5633 | − | 50.9645i | −1.58980 | − | 1.99746i | ||||
\(652\) | −0.540581 | − | 0.260330i | −0.0211708 | − | 0.0101953i | ||||
\(653\) | 3.37874 | − | 3.13501i | 0.132220 | − | 0.122683i | −0.611291 | − | 0.791406i | \(-0.709349\pi\) |
0.743511 | + | 0.668723i | \(0.233159\pi\) | |||||||
\(654\) | 15.0685 | − | 2.27121i | 0.589225 | − | 0.0888113i | ||||
\(655\) | 15.3149 | − | 26.5261i | 0.598402 | − | 1.03646i | ||||
\(656\) | 5.16978 | + | 8.95433i | 0.201846 | + | 0.349608i | ||||
\(657\) | −16.9589 | − | 21.2658i | −0.661630 | − | 0.829658i | ||||
\(658\) | −21.3071 | + | 19.7322i | −0.830636 | + | 0.769243i | ||||
\(659\) | 1.08134 | − | 1.35595i | 0.0421229 | − | 0.0528204i | −0.760324 | − | 0.649544i | \(-0.774960\pi\) |
0.802447 | + | 0.596724i | \(0.203531\pi\) | |||||||
\(660\) | 0.620222 | + | 0.0934835i | 0.0241421 | + | 0.00363884i | ||||
\(661\) | −11.1259 | + | 7.58549i | −0.432746 | + | 0.295042i | −0.760034 | − | 0.649883i | \(-0.774818\pi\) |
0.327288 | + | 0.944925i | \(0.393865\pi\) | |||||||
\(662\) | −2.78909 | + | 1.90157i | −0.108401 | + | 0.0739065i | ||||
\(663\) | 18.1062 | + | 2.72908i | 0.703188 | + | 0.105989i | ||||
\(664\) | 28.4081 | − | 35.6226i | 1.10245 | − | 1.38242i | ||||
\(665\) | 5.45836 | − | 13.8687i | 0.211666 | − | 0.537806i | ||||
\(666\) | 4.88565 | + | 6.12641i | 0.189315 | + | 0.237394i | ||||
\(667\) | −35.4840 | − | 61.4601i | −1.37395 | − | 2.37974i | ||||
\(668\) | −0.157383 | + | 0.272596i | −0.00608934 | + | 0.0105471i | ||||
\(669\) | −5.85368 | + | 0.882300i | −0.226316 | + | 0.0341117i | ||||
\(670\) | 3.98005 | − | 3.69294i | 0.153763 | − | 0.142671i | ||||
\(671\) | −13.1718 | − | 6.34319i | −0.508491 | − | 0.244876i | ||||
\(672\) | 0.466212 | − | 2.03365i | 0.0179845 | − | 0.0784498i | ||||
\(673\) | 7.21091 | − | 3.47259i | 0.277960 | − | 0.133859i | −0.289710 | − | 0.957114i | \(-0.593559\pi\) |
0.567671 | + | 0.823256i | \(0.307845\pi\) | |||||||
\(674\) | 0.605686 | − | 1.54326i | 0.0233301 | − | 0.0594442i | ||||
\(675\) | 0.157315 | − | 2.09922i | 0.00605506 | − | 0.0807991i | ||||
\(676\) | −0.0523528 | − | 0.0161487i | −0.00201357 | − | 0.000621104i | ||||
\(677\) | −2.81231 | − | 37.5276i | −0.108086 | − | 1.44230i | −0.742777 | − | 0.669539i | \(-0.766492\pi\) |
0.634691 | − | 0.772766i | \(-0.281127\pi\) | |||||||
\(678\) | 13.6271 | − | 59.7042i | 0.523345 | − | 2.29293i | ||||
\(679\) | 14.2060 | + | 36.2982i | 0.545176 | + | 1.39300i | ||||
\(680\) | −8.29600 | − | 36.3471i | −0.318137 | − | 1.39385i | ||||
\(681\) | −44.6315 | + | 13.7670i | −1.71028 | + | 0.527553i | ||||
\(682\) | 12.2603 | + | 31.2387i | 0.469470 | + | 1.19619i | ||||
\(683\) | 15.4768 | + | 14.3604i | 0.592203 | + | 0.549484i | 0.918317 | − | 0.395847i | \(-0.129549\pi\) |
−0.326114 | + | 0.945330i | \(0.605739\pi\) | |||||||
\(684\) | −0.490471 | − | 0.334397i | −0.0187536 | − | 0.0127860i | ||||
\(685\) | −2.58810 | −0.0988863 | ||||||||
\(686\) | −12.8510 | − | 22.4067i | −0.490655 | − | 0.855491i | ||||
\(687\) | −1.71998 | −0.0656214 | ||||||||
\(688\) | 14.6523 | + | 9.98978i | 0.558614 | + | 0.380857i | ||||
\(689\) | −3.30645 | − | 3.06793i | −0.125966 | − | 0.116879i | ||||
\(690\) | 19.4797 | + | 49.6334i | 0.741578 | + | 1.88951i | ||||
\(691\) | −1.19968 | + | 0.370053i | −0.0456381 | + | 0.0140775i | −0.317490 | − | 0.948262i | \(-0.602840\pi\) |
0.271852 | + | 0.962339i | \(0.412364\pi\) | |||||||
\(692\) | 0.0723437 | + | 0.316958i | 0.00275009 | + | 0.0120489i | ||||
\(693\) | −8.34234 | − | 21.3158i | −0.316899 | − | 0.809720i | ||||
\(694\) | −3.89128 | + | 17.0488i | −0.147711 | + | 0.647164i | ||||
\(695\) | −2.13367 | − | 28.4718i | −0.0809345 | − | 1.08000i | ||||
\(696\) | 59.5502 | + | 18.3688i | 2.25725 | + | 0.696268i | ||||
\(697\) | −1.42995 | + | 19.0813i | −0.0541632 | + | 0.722757i | ||||
\(698\) | −11.0523 | + | 28.1608i | −0.418335 | + | 1.06590i | ||||
\(699\) | −35.8280 | + | 17.2538i | −1.35514 | + | 0.652600i | ||||
\(700\) | 0.0560400 | − | 0.244451i | 0.00211811 | − | 0.00923937i | ||||
\(701\) | −11.3027 | − | 5.44310i | −0.426898 | − | 0.205583i | 0.208083 | − | 0.978111i | \(-0.433278\pi\) |
−0.634981 | + | 0.772528i | \(0.718992\pi\) | |||||||
\(702\) | 1.24396 | − | 1.15422i | 0.0469501 | − | 0.0435633i | ||||
\(703\) | 4.97615 | − | 0.750034i | 0.187679 | − | 0.0282881i | ||||
\(704\) | −10.2075 | + | 17.6798i | −0.384708 | + | 0.666334i | ||||
\(705\) | −18.1103 | − | 31.3680i | −0.682075 | − | 1.18139i | ||||
\(706\) | 10.1361 | + | 12.7102i | 0.381476 | + | 0.478356i | ||||
\(707\) | −2.04618 | + | 5.19897i | −0.0769545 | + | 0.195527i | ||||
\(708\) | 0.897949 | − | 1.12599i | 0.0337470 | − | 0.0423174i | ||||
\(709\) | −0.524305 | − | 0.0790262i | −0.0196907 | − | 0.00296789i | 0.139190 | − | 0.990266i | \(-0.455550\pi\) |
−0.158880 | + | 0.987298i | \(0.550788\pi\) | |||||||
\(710\) | −2.75963 | + | 1.88148i | −0.103567 | + | 0.0706107i | ||||
\(711\) | 32.8147 | − | 22.3727i | 1.23065 | − | 0.839040i | ||||
\(712\) | 24.2098 | + | 3.64904i | 0.907300 | + | 0.136753i | ||||
\(713\) | 50.0954 | − | 62.8176i | 1.87609 | − | 2.35254i | ||||
\(714\) | −49.5745 | + | 45.9104i | −1.85528 | + | 1.71815i | ||||
\(715\) | 2.80451 | + | 3.51674i | 0.104883 | + | 0.131519i | ||||
\(716\) | −0.601093 | − | 1.04112i | −0.0224639 | − | 0.0389086i | ||||
\(717\) | −6.30538 | + | 10.9212i | −0.235479 | + | 0.407861i | ||||
\(718\) | 6.97197 | − | 1.05086i | 0.260192 | − | 0.0392176i | ||||
\(719\) | 24.7317 | − | 22.9476i | 0.922336 | − | 0.855803i | −0.0675430 | − | 0.997716i | \(-0.521516\pi\) |
0.989879 | + | 0.141914i | \(0.0453255\pi\) | |||||||
\(720\) | −22.0277 | − | 10.6080i | −0.820924 | − | 0.395336i | ||||
\(721\) | −8.94027 | − | 11.2327i | −0.332953 | − | 0.418329i | ||||
\(722\) | −11.6801 | + | 5.62482i | −0.434687 | + | 0.209334i | ||||
\(723\) | −6.72229 | + | 17.1281i | −0.250005 | + | 0.637002i | ||||
\(724\) | −0.0395031 | + | 0.527132i | −0.00146812 | + | 0.0195907i | ||||
\(725\) | 14.1254 | + | 4.35710i | 0.524603 | + | 0.161818i | ||||
\(726\) | −1.27660 | − | 17.0350i | −0.0473790 | − | 0.632229i | ||||
\(727\) | −4.92378 | + | 21.5725i | −0.182613 | + | 0.800079i | 0.797768 | + | 0.602965i | \(0.206014\pi\) |
−0.980381 | + | 0.197114i | \(0.936843\pi\) | |||||||
\(728\) | 6.26884 | − | 4.26526i | 0.232339 | − | 0.158081i | ||||
\(729\) | 7.74594 | + | 33.9372i | 0.286886 | + | 1.25693i | ||||
\(730\) | −18.8471 | + | 5.81355i | −0.697562 | + | 0.215169i | ||||
\(731\) | 11.9901 | + | 30.5502i | 0.443469 | + | 1.12994i | ||||
\(732\) | −0.600763 | − | 0.557426i | −0.0222048 | − | 0.0206031i | ||||
\(733\) | −29.0410 | − | 19.7998i | −1.07265 | − | 0.731323i | −0.107817 | − | 0.994171i | \(-0.534386\pi\) |
−0.964837 | + | 0.262848i | \(0.915338\pi\) | |||||||
\(734\) | −25.2801 | −0.933106 | ||||||||
\(735\) | 30.8036 | − | 9.43724i | 1.13621 | − | 0.348098i | ||||
\(736\) | 2.57361 | 0.0948646 | ||||||||
\(737\) | −4.42463 | − | 3.01666i | −0.162983 | − | 0.111120i | ||||
\(738\) | 9.45787 | + | 8.77562i | 0.348149 | + | 0.323035i | ||||
\(739\) | 13.8450 | + | 35.2765i | 0.509296 | + | 1.29767i | 0.922137 | + | 0.386863i | \(0.126441\pi\) |
−0.412841 | + | 0.910803i | \(0.635464\pi\) | |||||||
\(740\) | −0.152925 | + | 0.0471710i | −0.00562163 | + | 0.00173404i | ||||
\(741\) | −1.76437 | − | 7.73021i | −0.0648157 | − | 0.283976i | ||||
\(742\) | 16.4605 | − | 2.46495i | 0.604285 | − | 0.0904910i | ||||
\(743\) | −9.81442 | + | 42.9998i | −0.360056 | + | 1.57751i | 0.392991 | + | 0.919542i | \(0.371440\pi\) |
−0.753047 | + | 0.657967i | \(0.771417\pi\) | |||||||
\(744\) | 5.27256 | + | 70.3574i | 0.193301 | + | 2.57943i | ||||
\(745\) | −9.74836 | − | 3.00697i | −0.357152 | − | 0.110167i | ||||
\(746\) | −1.66021 | + | 22.1539i | −0.0607845 | + | 0.811113i | ||||
\(747\) | 20.2020 | − | 51.4739i | 0.739153 | − | 1.88333i | ||||
\(748\) | −0.883355 | + | 0.425401i | −0.0322986 | + | 0.0155542i | ||||
\(749\) | 9.61144 | − | 4.61732i | 0.351194 | − | 0.168713i | ||||
\(750\) | −38.9228 | − | 18.7442i | −1.42126 | − | 0.684442i | ||||
\(751\) | −33.7144 | + | 31.2824i | −1.23025 | + | 1.14151i | −0.245162 | + | 0.969482i | \(0.578841\pi\) |
−0.985092 | + | 0.172027i | \(0.944968\pi\) | |||||||
\(752\) | 30.2521 | − | 4.55978i | 1.10318 | − | 0.166278i | ||||
\(753\) | −8.97940 | + | 15.5528i | −0.327227 | + | 0.566775i | ||||
\(754\) | 5.95801 | + | 10.3196i | 0.216978 | + | 0.375817i | ||||
\(755\) | −25.9136 | − | 32.4947i | −0.943093 | − | 1.18260i | ||||
\(756\) | −0.0130118 | − | 0.175884i | −0.000473233 | − | 0.00639684i | ||||
\(757\) | 7.90525 | − | 9.91287i | 0.287321 | − | 0.360289i | −0.617134 | − | 0.786858i | \(-0.711706\pi\) |
0.904455 | + | 0.426569i | \(0.140278\pi\) | |||||||
\(758\) | 27.9487 | + | 4.21259i | 1.01514 | + | 0.153008i | ||||
\(759\) | 43.4517 | − | 29.6249i | 1.57720 | − | 1.07531i | ||||
\(760\) | −13.3388 | + | 9.09421i | −0.483848 | + | 0.329882i | ||||
\(761\) | 29.4755 | + | 4.44271i | 1.06849 | + | 0.161048i | 0.659660 | − | 0.751564i | \(-0.270700\pi\) |
0.408825 | + | 0.912613i | \(0.365938\pi\) | |||||||
\(762\) | −16.3532 | + | 20.5062i | −0.592413 | + | 0.742863i | ||||
\(763\) | 10.8563 | − | 3.33738i | 0.393025 | − | 0.120821i | ||||
\(764\) | 0.742058 | + | 0.930511i | 0.0268467 | + | 0.0336647i | ||||
\(765\) | −22.6231 | − | 39.1843i | −0.817940 | − | 1.41671i | ||||
\(766\) | 11.4679 | − | 19.8630i | 0.414353 | − | 0.717681i | ||||
\(767\) | 10.2128 | − | 1.53934i | 0.368764 | − | 0.0555822i | ||||
\(768\) | −2.45141 | + | 2.27457i | −0.0884575 | + | 0.0820765i | ||||
\(769\) | −19.1675 | − | 9.23057i | −0.691197 | − | 0.332863i | 0.0550955 | − | 0.998481i | \(-0.482454\pi\) |
−0.746292 | + | 0.665618i | \(0.768168\pi\) | |||||||
\(770\) | −16.5981 | − | 0.0158550i | −0.598156 | − | 0.000571374i | ||||
\(771\) | −45.5840 | + | 21.9521i | −1.64167 | + | 0.790585i | ||||
\(772\) | 0.0348674 | − | 0.0888408i | 0.00125491 | − | 0.00319745i | ||||
\(773\) | 0.0637234 | − | 0.850330i | 0.00229197 | − | 0.0305842i | −0.995941 | − | 0.0900134i | \(-0.971309\pi\) |
0.998233 | + | 0.0594292i | \(0.0189281\pi\) | |||||||
\(774\) | 21.1456 | + | 6.52256i | 0.760064 | + | 0.234449i | ||||
\(775\) | 1.25065 | + | 16.6888i | 0.0449248 | + | 0.599480i | ||||
\(776\) | 9.39515 | − | 41.1628i | 0.337266 | − | 1.47766i | ||||
\(777\) | 7.96701 | + | 7.40648i | 0.285815 | + | 0.265706i | ||||
\(778\) | 2.00497 | + | 8.78433i | 0.0718815 | + | 0.314934i | ||||
\(779\) | 7.91773 | − | 2.44230i | 0.283682 | − | 0.0875044i | ||||
\(780\) | 0.0921211 | + | 0.234721i | 0.00329847 | + | 0.00840435i | ||||
\(781\) | 2.41489 | + | 2.24069i | 0.0864116 | + | 0.0801782i | ||||
\(782\) | −68.8634 | − | 46.9503i | −2.46255 | − | 1.67894i | ||||
\(783\) | 10.3952 | 0.371495 | ||||||||
\(784\) | −2.08539 | + | 27.1319i | −0.0744783 | + | 0.968998i | ||||
\(785\) | 17.3261 | 0.618397 | ||||||||
\(786\) | 49.6812 | + | 33.8720i | 1.77207 | + | 1.20818i | ||||
\(787\) | −1.59440 | − | 1.47939i | −0.0568342 | − | 0.0527345i | 0.651244 | − | 0.758868i | \(-0.274247\pi\) |
−0.708079 | + | 0.706134i | \(0.750438\pi\) | |||||||
\(788\) | −0.405489 | − | 1.03317i | −0.0144449 | − | 0.0368051i | ||||
\(789\) | −12.4805 | + | 3.84974i | −0.444319 | + | 0.137054i | ||||
\(790\) | −6.40833 | − | 28.0767i | −0.227998 | − | 0.998925i | ||||
\(791\) | 3.45440 | − | 45.5123i | 0.122824 | − | 1.61823i | ||||
\(792\) | −5.51722 | + | 24.1725i | −0.196046 | + | 0.858933i | ||||
\(793\) | −0.439203 | − | 5.86076i | −0.0155966 | − | 0.208122i | ||||
\(794\) | −12.8476 | − | 3.96296i | −0.455944 | − | 0.140640i | ||||
\(795\) | −1.55134 | + | 20.7012i | −0.0550203 | + | 0.734195i | ||||
\(796\) | 0.214997 | − | 0.547803i | 0.00762036 | − | 0.0194164i | ||||
\(797\) | −37.0231 | + | 17.8294i | −1.31143 | + | 0.631550i | −0.953272 | − | 0.302113i | \(-0.902308\pi\) |
−0.358154 | + | 0.933662i | \(0.616594\pi\) | |||||||
\(798\) | 26.3488 | + | 12.7199i | 0.932738 | + | 0.450281i | ||||
\(799\) | 51.0113 | + | 24.5657i | 1.80465 | + | 0.869074i | ||||
\(800\) | −0.392962 | + | 0.364616i | −0.0138933 | + | 0.0128911i | ||||
\(801\) | 29.3816 | − | 4.42856i | 1.03815 | − | 0.156475i | ||||
\(802\) | 22.9958 | − | 39.8298i | 0.812008 | − | 1.40644i | ||||
\(803\) | 9.72676 | + | 16.8472i | 0.343250 | + | 0.594527i | ||||
\(804\) | −0.187169 | − | 0.234703i | −0.00660095 | − | 0.00827733i | ||||
\(805\) | 19.8371 | + | 34.4347i | 0.699165 | + | 1.21366i | ||||
\(806\) | −8.41136 | + | 10.5475i | −0.296278 | + | 0.371520i | ||||
\(807\) | −31.7197 | − | 4.78098i | −1.11659 | − | 0.168298i | ||||
\(808\) | 5.00030 | − | 3.40915i | 0.175910 | − | 0.119933i | ||||
\(809\) | 10.6859 | − | 7.28551i | 0.375695 | − | 0.256145i | −0.360720 | − | 0.932674i | \(-0.617469\pi\) |
0.736416 | + | 0.676529i | \(0.236517\pi\) | |||||||
\(810\) | 18.2982 | + | 2.75801i | 0.642933 | + | 0.0969065i | ||||
\(811\) | −11.3992 | + | 14.2942i | −0.400282 | + | 0.501937i | −0.940597 | − | 0.339525i | \(-0.889734\pi\) |
0.540315 | + | 0.841463i | \(0.318305\pi\) | |||||||
\(812\) | 1.22442 | + | 0.185749i | 0.0429689 | + | 0.00651850i | ||||
\(813\) | −24.0312 | − | 30.1341i | −0.842809 | − | 1.05685i | ||||
\(814\) | −2.80216 | − | 4.85348i | −0.0982157 | − | 0.170115i | ||||
\(815\) | −9.90165 | + | 17.1502i | −0.346840 | + | 0.600744i | ||||
\(816\) | 70.3867 | − | 10.6091i | 2.46403 | − | 0.371392i | ||||
\(817\) | 10.4177 | − | 9.66617i | 0.364468 | − | 0.338177i | ||||
\(818\) | −28.9486 | − | 13.9409i | −1.01216 | − | 0.487432i | ||||
\(819\) | 5.74424 | − | 7.18895i | 0.200720 | − | 0.251202i | ||||
\(820\) | −0.237405 | + | 0.114328i | −0.00829053 | + | 0.00399251i | ||||
\(821\) | −2.69430 | + | 6.86497i | −0.0940318 | + | 0.239589i | −0.970149 | − | 0.242509i | \(-0.922030\pi\) |
0.876117 | + | 0.482098i | \(0.160125\pi\) | |||||||
\(822\) | 0.379682 | − | 5.06650i | 0.0132429 | − | 0.176715i | ||||
\(823\) | −2.33427 | − | 0.720028i | −0.0813677 | − | 0.0250986i | 0.253804 | − | 0.967256i | \(-0.418318\pi\) |
−0.335172 | + | 0.942157i | \(0.608794\pi\) | |||||||
\(824\) | 1.16209 | + | 15.5070i | 0.0404832 | + | 0.540211i | ||||
\(825\) | −2.43750 | + | 10.6794i | −0.0848630 | + | 0.371809i | ||||
\(826\) | −19.0873 | + | 32.9874i | −0.664132 | + | 1.14778i | ||||
\(827\) | −0.476013 | − | 2.08555i | −0.0165526 | − | 0.0725217i | 0.965977 | − | 0.258628i | \(-0.0832703\pi\) |
−0.982530 | + | 0.186106i | \(0.940413\pi\) | |||||||
\(828\) | 1.51248 | − | 0.466538i | 0.0525623 | − | 0.0162133i | ||||
\(829\) | −13.1524 | − | 33.5117i | −0.456800 | − | 1.16391i | −0.954937 | − | 0.296810i | \(-0.904077\pi\) |
0.498136 | − | 0.867099i | \(-0.334018\pi\) | |||||||
\(830\) | −29.3929 | − | 27.2726i | −1.02024 | − | 0.946647i | ||||
\(831\) | −5.50153 | − | 3.75088i | −0.190846 | − | 0.130117i | ||||
\(832\) | −8.20698 | −0.284526 | ||||||||
\(833\) | −31.4739 | + | 39.3127i | −1.09051 | + | 1.36210i | ||||
\(834\) | 56.0497 | 1.94084 | ||||||||
\(835\) | 8.58382 | + | 5.85235i | 0.297055 | + | 0.202529i | ||||
\(836\) | 0.311223 | + | 0.288773i | 0.0107639 | + | 0.00998743i | ||||
\(837\) | 4.29970 | + | 10.9555i | 0.148619 | + | 0.378676i | ||||
\(838\) | 6.76725 | − | 2.08742i | 0.233771 | − | 0.0721087i | ||||
\(839\) | 2.58937 | + | 11.3448i | 0.0893951 | + | 0.391666i | 0.999755 | − | 0.0221528i | \(-0.00705203\pi\) |
−0.910359 | + | 0.413818i | \(0.864195\pi\) | |||||||
\(840\) | −33.3365 | − | 10.3178i | −1.15022 | − | 0.355999i | ||||
\(841\) | −9.78987 | + | 42.8922i | −0.337582 | + | 1.47904i | ||||
\(842\) | 0.169502 | + | 2.26184i | 0.00584141 | + | 0.0779482i | ||||
\(843\) | 35.1131 | + | 10.8310i | 1.20936 | + | 0.373038i | ||||
\(844\) | −0.0804208 | + | 1.07314i | −0.00276820 | + | 0.0369391i | ||||
\(845\) | −0.660634 | + | 1.68327i | −0.0227265 | + | 0.0579062i | ||||
\(846\) | 34.3954 | − | 16.5639i | 1.18254 | − | 0.569480i | ||||
\(847\) | −2.82131 | − | 12.4156i | −0.0969415 | − | 0.426606i | ||||
\(848\) | −15.7979 | − | 7.60785i | −0.542501 | − | 0.261255i | ||||
\(849\) | 37.6627 | − | 34.9458i | 1.29258 | − | 1.19934i | ||||
\(850\) | 17.1664 | − | 2.58741i | 0.588802 | − | 0.0887476i | ||||
\(851\) | −6.70903 | + | 11.6204i | −0.229983 | + | 0.398342i | ||||
\(852\) | 0.0923350 | + | 0.159929i | 0.00316335 | + | 0.00547907i | ||||
\(853\) | 0.281035 | + | 0.352407i | 0.00962247 | + | 0.0120662i | 0.786619 | − | 0.617438i | \(-0.211829\pi\) |
−0.776997 | + | 0.629504i | \(0.783258\pi\) | |||||||
\(854\) | 17.9071 | + | 12.2339i | 0.612768 | + | 0.418636i | ||||
\(855\) | −12.2158 | + | 15.3182i | −0.417773 | + | 0.523871i | ||||
\(856\) | −11.4210 | − | 1.72143i | −0.390360 | − | 0.0588373i | ||||
\(857\) | 21.3210 | − | 14.5364i | 0.728313 | − | 0.496555i | −0.141499 | − | 0.989938i | \(-0.545192\pi\) |
0.869812 | + | 0.493383i | \(0.164240\pi\) | |||||||
\(858\) | −7.29584 | + | 4.97422i | −0.249076 | + | 0.169817i | ||||
\(859\) | 20.2802 | + | 3.05675i | 0.691953 | + | 0.104295i | 0.485598 | − | 0.874182i | \(-0.338602\pi\) |
0.206355 | + | 0.978477i | \(0.433840\pi\) | |||||||
\(860\) | −0.281778 | + | 0.353338i | −0.00960855 | + | 0.0120487i | ||||
\(861\) | 14.7888 | + | 10.1036i | 0.504002 | + | 0.344328i | ||||
\(862\) | 16.8566 | + | 21.1375i | 0.574138 | + | 0.719946i | ||||
\(863\) | −8.91755 | − | 15.4456i | −0.303557 | − | 0.525776i | 0.673382 | − | 0.739295i | \(-0.264841\pi\) |
−0.976939 | + | 0.213519i | \(0.931508\pi\) | |||||||
\(864\) | −0.188488 | + | 0.326471i | −0.00641250 | + | 0.0111068i | ||||
\(865\) | 10.6106 | − | 1.59928i | 0.360770 | − | 0.0543773i | ||||
\(866\) | −22.4472 | + | 20.8279i | −0.762786 | + | 0.707762i | ||||
\(867\) | 79.7029 | + | 38.3829i | 2.70685 | + | 1.30355i | ||||
\(868\) | 0.310691 | + | 1.36724i | 0.0105455 | + | 0.0464073i | ||||
\(869\) | −25.5919 | + | 12.3244i | −0.868145 | + | 0.418076i | ||||
\(870\) | 20.0361 | − | 51.0512i | 0.679289 | − | 1.73080i | ||||
\(871\) | 0.160880 | − | 2.14680i | 0.00545122 | − | 0.0727414i | ||||
\(872\) | −11.7559 | − | 3.62622i | −0.398106 | − | 0.122799i | ||||
\(873\) | −3.82924 | − | 51.0977i | −0.129600 | − | 1.72939i | ||||
\(874\) | −8.03094 | + | 35.1858i | −0.271651 | + | 1.19018i | ||||
\(875\) | −30.7591 | − | 9.52010i | −1.03985 | − | 0.321838i | ||||
\(876\) | 0.242663 | + | 1.06317i | 0.00819881 | + | 0.0359213i | ||||
\(877\) | −20.2083 | + | 6.23344i | −0.682387 | + | 0.210488i | −0.616519 | − | 0.787340i | \(-0.711458\pi\) |
−0.0658677 | + | 0.997828i | \(0.520982\pi\) | |||||||
\(878\) | −14.0714 | − | 35.8533i | −0.474887 | − | 1.20999i | ||||
\(879\) | 55.4134 | + | 51.4161i | 1.86905 | + | 1.73422i | ||||
\(880\) | 14.4476 | + | 9.85018i | 0.487027 | + | 0.332050i | ||||
\(881\) | 1.44407 | 0.0486519 | 0.0243259 | − | 0.999704i | \(-0.492256\pi\) | ||||
0.0243259 | + | 0.999704i | \(0.492256\pi\) | |||||||
\(882\) | 7.49266 | + | 33.1190i | 0.252291 | + | 1.11517i | ||||
\(883\) | −19.3689 | −0.651815 | −0.325908 | − | 0.945402i | \(-0.605670\pi\) | ||||
−0.325908 | + | 0.945402i | \(0.605670\pi\) | |||||||
\(884\) | −0.325662 | − | 0.222032i | −0.0109532 | − | 0.00746775i | ||||
\(885\) | −34.8452 | − | 32.3317i | −1.17131 | − | 1.08682i | ||||
\(886\) | −17.0333 | − | 43.4000i | −0.572244 | − | 1.45805i | ||||
\(887\) | −46.6412 | + | 14.3869i | −1.56606 | + | 0.483065i | −0.951975 | − | 0.306177i | \(-0.900950\pi\) |
−0.614083 | + | 0.789241i | \(0.710474\pi\) | |||||||
\(888\) | −2.62191 | − | 11.4873i | −0.0879856 | − | 0.385490i | ||||
\(889\) | −9.79049 | + | 16.9203i | −0.328362 | + | 0.567488i | ||||
\(890\) | 4.79441 | − | 21.0057i | 0.160709 | − | 0.704113i | ||||
\(891\) | −1.36395 | − | 18.2007i | −0.0456942 | − | 0.609746i | ||||
\(892\) | 0.121766 | + | 0.0375597i | 0.00407702 | + | 0.00125759i | ||||
\(893\) | 1.83216 | − | 24.4485i | 0.0613110 | − | 0.818139i | ||||
\(894\) | 7.31659 | − | 18.6424i | 0.244703 | − | 0.623494i | ||||
\(895\) | −35.7493 | + | 17.2160i | −1.19497 | + | 0.575467i | ||||
\(896\) | 17.8811 | − | 22.3783i | 0.597364 | − | 0.747605i | ||||
\(897\) | 19.0479 | + | 9.17297i | 0.635990 | + | 0.306277i | ||||
\(898\) | 38.4699 | − | 35.6949i | 1.28376 | − | 1.19115i | ||||
\(899\) | −81.7190 | + | 12.3172i | −2.72548 | + | 0.410800i | ||||
\(900\) | −0.164843 | + | 0.285516i | −0.00549475 | + | 0.00951719i | ||||
\(901\) | −16.2249 | − | 28.1023i | −0.540529 | − | 0.936223i | ||||
\(902\) | −5.75331 | − | 7.21442i | −0.191564 | − | 0.240214i | ||||
\(903\) | 30.3717 | + | 4.60747i | 1.01071 | + | 0.153327i | ||||
\(904\) | −30.8253 | + | 38.6537i | −1.02523 | + | 1.28560i | ||||
\(905\) | 17.2522 | + | 2.60034i | 0.573481 | + | 0.0864384i | ||||
\(906\) | 67.4135 | − | 45.9618i | 2.23966 | − | 1.52698i | ||||
\(907\) | −42.8565 | + | 29.2191i | −1.42303 | + | 0.970203i | −0.425146 | + | 0.905125i | \(0.639777\pi\) |
−0.997880 | + | 0.0650784i | \(0.979270\pi\) | |||||||
\(908\) | 0.994156 | + | 0.149845i | 0.0329922 | + | 0.00497278i | ||||
\(909\) | 4.57936 | − | 5.74233i | 0.151888 | − | 0.190461i | ||||
\(910\) | −3.33078 | − | 5.78183i | −0.110414 | − | 0.191666i | ||||
\(911\) | 16.0372 | + | 20.1101i | 0.531338 | + | 0.666276i | 0.972973 | − | 0.230918i | \(-0.0741730\pi\) |
−0.441635 | + | 0.897195i | \(0.645602\pi\) | |||||||
\(912\) | −15.4117 | − | 26.6939i | −0.510332 | − | 0.883922i | ||||
\(913\) | −19.7741 | + | 34.2497i | −0.654426 | + | 1.13350i | ||||
\(914\) | −18.7442 | + | 2.82524i | −0.620004 | + | 0.0934506i | ||||
\(915\) | −19.8285 | + | 18.3981i | −0.655509 | + | 0.608224i | ||||
\(916\) | 0.0333571 | + | 0.0160639i | 0.00110215 | + | 0.000530767i | ||||
\(917\) | 40.3589 | + | 19.4833i | 1.33277 | + | 0.643397i | ||||
\(918\) | 10.9993 | − | 5.29698i | 0.363030 | − | 0.174826i | ||||
\(919\) | −3.53836 | + | 9.01561i | −0.116720 | + | 0.297397i | −0.977280 | − | 0.211951i | \(-0.932018\pi\) |
0.860560 | + | 0.509348i | \(0.170114\pi\) | |||||||
\(920\) | 3.21680 | − | 42.9252i | 0.106055 | − | 1.41520i | ||||
\(921\) | −5.72722 | − | 1.76661i | −0.188718 | − | 0.0582119i | ||||
\(922\) | 1.67623 | + | 22.3677i | 0.0552036 | + | 0.736641i | ||||
\(923\) | −0.294693 | + | 1.29113i | −0.00969992 | + | 0.0424981i | ||||
\(924\) | −0.0694557 | + | 0.915091i | −0.00228492 | + | 0.0301043i | ||||
\(925\) | −0.621919 | − | 2.72481i | −0.0204486 | − | 0.0895911i | ||||
\(926\) | −22.3046 | + | 6.88005i | −0.732974 | + | 0.226093i | ||||
\(927\) | 6.89487 | + | 17.5678i | 0.226457 | + | 0.577003i | ||||
\(928\) | −1.94048 | − | 1.80051i | −0.0636995 | − | 0.0591045i | ||||
\(929\) | −13.7822 | − | 9.39651i | −0.452178 | − | 0.308290i | 0.315731 | − | 0.948849i | \(-0.397750\pi\) |
−0.767909 | + | 0.640559i | \(0.778703\pi\) | |||||||
\(930\) | 62.0900 | 2.03601 | ||||||||
\(931\) | 20.8258 | + | 6.46751i | 0.682538 | + | 0.211964i | ||||
\(932\) | 0.855986 | 0.0280388 | ||||||||
\(933\) | 21.6845 | + | 14.7842i | 0.709918 | + | 0.484014i | ||||
\(934\) | 14.6112 | + | 13.5572i | 0.478094 | + | 0.443606i | ||||
\(935\) | 11.8225 | + | 30.1233i | 0.386638 | + | 0.985137i | ||||
\(936\) | −9.52464 | + | 2.93796i | −0.311323 | + | 0.0960304i | ||||
\(937\) | −6.22103 | − | 27.2561i | −0.203232 | − | 0.890419i | −0.968953 | − | 0.247245i | \(-0.920475\pi\) |
0.765721 | − | 0.643173i | \(-0.222383\pi\) | |||||||
\(938\) | 5.81820 | + | 5.40886i | 0.189971 | + | 0.176605i | ||||
\(939\) | 4.60258 | − | 20.1652i | 0.150200 | − | 0.658067i | ||||
\(940\) | 0.0582648 | + | 0.777490i | 0.00190039 | + | 0.0253589i | ||||
\(941\) | 28.6083 | + | 8.82449i | 0.932604 | + | 0.287670i | 0.723580 | − | 0.690240i | \(-0.242495\pi\) |
0.209024 | + | 0.977911i | \(0.432971\pi\) | |||||||
\(942\) | −2.54179 | + | 33.9179i | −0.0828161 | + | 1.10510i | ||||
\(943\) | −8.07149 | + | 20.5658i | −0.262844 | + | 0.669715i | ||||
\(944\) | 36.1739 | − | 17.4205i | 1.17736 | − | 0.566987i | ||||
\(945\) | −5.82101 | − | 0.00556038i | −0.189357 | − | 0.000180879i | ||||
\(946\) | −14.2592 | − | 6.86689i | −0.463608 | − | 0.223262i | ||||
\(947\) | −22.0227 | + | 20.4341i | −0.715641 | + | 0.664018i | −0.951458 | − | 0.307780i | \(-0.900414\pi\) |
0.235816 | + | 0.971798i | \(0.424224\pi\) | |||||||
\(948\) | −1.57452 | + | 0.237321i | −0.0511380 | + | 0.00770781i | ||||
\(949\) | −3.91024 | + | 6.77274i | −0.126932 | + | 0.219853i | ||||
\(950\) | −3.75871 | − | 6.51027i | −0.121949 | − | 0.211221i | ||||
\(951\) | 27.6434 | + | 34.6637i | 0.896398 | + | 1.12405i | ||||
\(952\) | 52.1405 | − | 16.0287i | 1.68988 | − | 0.519493i | ||||
\(953\) | −7.98729 | + | 10.0157i | −0.258734 | + | 0.324442i | −0.894184 | − | 0.447700i | \(-0.852243\pi\) |
0.635450 | + | 0.772142i | \(0.280815\pi\) | |||||||
\(954\) | −21.6355 | − | 3.26103i | −0.700475 | − | 0.105580i | ||||
\(955\) | 32.4564 | − | 22.1284i | 1.05026 | − | 0.716058i | ||||
\(956\) | 0.224286 | − | 0.152915i | 0.00725391 | − | 0.00494563i | ||||
\(957\) | −53.4879 | − | 8.06201i | −1.72902 | − | 0.260608i | ||||
\(958\) | 10.1904 | − | 12.7784i | 0.329237 | − | 0.412850i | ||||
\(959\) | −0.279378 | − | 3.77644i | −0.00902158 | − | 0.121948i | ||||
\(960\) | 23.5503 | + | 29.5312i | 0.760084 | + | 0.953115i | ||||
\(961\) | −31.2818 | − | 54.1817i | −1.00909 | − | 1.74780i | ||||
\(962\) | 1.12649 | − | 1.95114i | 0.0363196 | − | 0.0629074i | ||||
\(963\) | −13.8607 | + | 2.08917i | −0.446656 | + | 0.0673226i | ||||
\(964\) | 0.290341 | − | 0.269397i | 0.00935125 | − | 0.00867669i | ||||
\(965\) | −2.83804 | − | 1.36673i | −0.0913596 | − | 0.0439965i | ||||
\(966\) | −70.3200 | + | 33.7816i | −2.26251 | + | 1.08691i | ||||
\(967\) | −26.5739 | + | 12.7973i | −0.854558 | + | 0.411533i | −0.809267 | − | 0.587441i | \(-0.800136\pi\) |
−0.0452905 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(968\) | −5.03851 | + | 12.8379i | −0.161944 | + | 0.412626i | ||||
\(969\) | 4.26284 | − | 56.8836i | 0.136942 | − | 1.82736i | ||||
\(970\) | −35.5052 | − | 10.9519i | −1.14000 | − | 0.351645i | ||||
\(971\) | −0.812775 | − | 10.8457i | −0.0260832 | − | 0.348056i | −0.994943 | − | 0.100445i | \(-0.967973\pi\) |
0.968859 | − | 0.247611i | \(-0.0796456\pi\) | |||||||
\(972\) | 0.272171 | − | 1.19246i | 0.00872989 | − | 0.0382481i | ||||
\(973\) | 41.3144 | − | 6.18679i | 1.32448 | − | 0.198339i | ||||
\(974\) | −2.53055 | − | 11.0871i | −0.0810842 | − | 0.355253i | ||||
\(975\) | −4.20798 | + | 1.29799i | −0.134763 | + | 0.0415690i | ||||
\(976\) | −8.34700 | − | 21.2678i | −0.267181 | − | 0.680766i | ||||
\(977\) | 30.5118 | + | 28.3108i | 0.976158 | + | 0.905742i | 0.995566 | − | 0.0940692i | \(-0.0299875\pi\) |
−0.0194075 | + | 0.999812i | \(0.506178\pi\) | |||||||
\(978\) | −32.1208 | − | 21.8996i | −1.02711 | − | 0.700271i | ||||
\(979\) | −21.2512 | −0.679190 | ||||||||
\(980\) | −0.685541 | − | 0.104668i | −0.0218988 | − | 0.00334351i | ||||
\(981\) | −14.9306 | −0.476697 | ||||||||
\(982\) | 3.80821 | + | 2.59639i | 0.121525 | + | 0.0828543i | ||||
\(983\) | −4.10226 | − | 3.80634i | −0.130842 | − | 0.121403i | 0.612038 | − | 0.790828i | \(-0.290350\pi\) |
−0.742879 | + | 0.669425i | \(0.766540\pi\) | |||||||
\(984\) | −7.08779 | − | 18.0594i | −0.225951 | − | 0.575713i | ||||
\(985\) | −35.0050 | + | 10.7976i | −1.11535 | + | 0.344041i | ||||
\(986\) | 19.0760 | + | 83.5772i | 0.607502 | + | 2.66164i | ||||
\(987\) | 43.8158 | − | 29.8119i | 1.39467 | − | 0.948922i | ||||
\(988\) | −0.0379790 | + | 0.166397i | −0.00120827 | + | 0.00529380i | ||||
\(989\) | 2.83171 | + | 37.7866i | 0.0900432 | + | 1.20154i | ||||
\(990\) | 20.8501 | + | 6.43142i | 0.662661 | + | 0.204404i | ||||
\(991\) | 3.50736 | − | 46.8025i | 0.111415 | − | 1.48673i | −0.608990 | − | 0.793178i | \(-0.708425\pi\) |
0.720405 | − | 0.693553i | \(-0.243956\pi\) | |||||||
\(992\) | 1.09491 | − | 2.78979i | 0.0347635 | − | 0.0885761i | ||||
\(993\) | 5.55014 | − | 2.67281i | 0.176128 | − | 0.0848190i | ||||
\(994\) | −3.04326 | − | 3.82362i | −0.0965264 | − | 0.121278i | ||||
\(995\) | −17.4997 | − | 8.42740i | −0.554777 | − | 0.267166i | ||||
\(996\) | −1.62515 | + | 1.50792i | −0.0514950 | + | 0.0477804i | ||||
\(997\) | −29.5679 | + | 4.45664i | −0.936425 | + | 0.141143i | −0.599488 | − | 0.800384i | \(-0.704629\pi\) |
−0.336937 | + | 0.941527i | \(0.609391\pi\) | |||||||
\(998\) | 9.79791 | − | 16.9705i | 0.310147 | − | 0.537191i | ||||
\(999\) | −0.982724 | − | 1.70213i | −0.0310920 | − | 0.0538529i |
(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 | 637.2.bl.a.53.9 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.9 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.9 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.9 | yes | 324 | 49.37 | even | 21 | inner |