Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.8.e.a.4.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −13.9790 | + | 5.08793i | −1.23558 | + | 0.449713i | −0.875504 | − | 0.483211i | \(-0.839471\pi\) |
−0.360073 | + | 0.932924i | \(0.617248\pi\) | |||||||
\(3\) | −44.6310 | − | 13.9670i | −0.954360 | − | 0.298660i | ||||
\(4\) | 71.4707 | − | 59.9711i | 0.558365 | − | 0.468524i | ||||
\(5\) | −48.7897 | − | 276.700i | −0.174555 | − | 0.989952i | −0.938656 | − | 0.344855i | \(-0.887928\pi\) |
0.764101 | − | 0.645097i | \(-0.223183\pi\) | |||||||
\(6\) | 694.958 | − | 31.8356i | 1.31350 | − | 0.0601705i | ||||
\(7\) | −1113.53 | − | 934.359i | −1.22704 | − | 1.02960i | −0.998426 | − | 0.0560867i | \(-0.982138\pi\) |
−0.228609 | − | 0.973518i | \(-0.573418\pi\) | |||||||
\(8\) | 258.112 | − | 447.063i | 0.178235 | − | 0.308713i | ||||
\(9\) | 1796.85 | + | 1246.72i | 0.821604 | + | 0.570058i | ||||
\(10\) | 2089.86 | + | 3619.74i | 0.660871 | + | 1.14466i | ||||
\(11\) | −907.590 | + | 5147.20i | −0.205596 | + | 1.16599i | 0.690902 | + | 0.722948i | \(0.257213\pi\) |
−0.896499 | + | 0.443047i | \(0.853898\pi\) | |||||||
\(12\) | −4027.42 | + | 1678.34i | −0.672810 | + | 0.280379i | ||||
\(13\) | −12245.3 | − | 4456.91i | −1.54585 | − | 0.562642i | −0.578409 | − | 0.815747i | \(-0.696326\pi\) |
−0.967439 | + | 0.253105i | \(0.918548\pi\) | |||||||
\(14\) | 20319.9 | + | 7395.83i | 1.97912 | + | 0.720342i | ||||
\(15\) | −1687.13 | + | 13030.8i | −0.129071 | + | 0.996903i | ||||
\(16\) | −3407.26 | + | 19323.5i | −0.207962 | + | 1.17941i | ||||
\(17\) | 9922.78 | + | 17186.8i | 0.489849 | + | 0.848443i | 0.999932 | − | 0.0116820i | \(-0.00371858\pi\) |
−0.510083 | + | 0.860125i | \(0.670385\pi\) | |||||||
\(18\) | −31461.3 | − | 8285.59i | −1.27152 | − | 0.334865i | ||||
\(19\) | 16321.4 | − | 28269.5i | 0.545909 | − | 0.945542i | −0.452640 | − | 0.891693i | \(-0.649518\pi\) |
0.998549 | − | 0.0538488i | \(-0.0171489\pi\) | |||||||
\(20\) | −20081.0 | − | 16850.0i | −0.561282 | − | 0.470971i | ||||
\(21\) | 36647.6 | + | 57253.9i | 0.863531 | + | 1.34908i | ||||
\(22\) | −13501.4 | − | 76570.3i | −0.270333 | − | 1.53314i | ||||
\(23\) | −892.868 | + | 749.205i | −0.0153017 | + | 0.0128397i | −0.650406 | − | 0.759586i | \(-0.725401\pi\) |
0.635105 | + | 0.772426i | \(0.280957\pi\) | |||||||
\(24\) | −17763.9 | + | 16347.8i | −0.262301 | + | 0.241391i | ||||
\(25\) | −769.027 | + | 279.903i | −0.00984355 | + | 0.00358276i | ||||
\(26\) | 193853. | 2.16304 | ||||||||
\(27\) | −62782.3 | − | 80738.7i | −0.613852 | − | 0.789421i | ||||
\(28\) | −135619. | −1.16753 | ||||||||
\(29\) | 114798. | − | 41783.0i | 0.874060 | − | 0.318132i | 0.134250 | − | 0.990948i | \(-0.457138\pi\) |
0.739810 | + | 0.672816i | \(0.234915\pi\) | |||||||
\(30\) | −42715.7 | − | 190742.i | −0.288844 | − | 1.28980i | ||||
\(31\) | −135317. | + | 113544.i | −0.815804 | + | 0.684541i | −0.951985 | − | 0.306143i | \(-0.900961\pi\) |
0.136182 | + | 0.990684i | \(0.456517\pi\) | |||||||
\(32\) | −39212.6 | − | 222386.i | −0.211544 | − | 1.19973i | ||||
\(33\) | 112397. | − | 217048.i | 0.544449 | − | 1.05137i | ||||
\(34\) | −226155. | − | 189767.i | −0.986803 | − | 0.828026i | ||||
\(35\) | −204209. | + | 353700.i | −0.805074 | + | 1.39443i | ||||
\(36\) | 203189. | − | 18655.1i | 0.725841 | − | 0.0666406i | ||||
\(37\) | 209464. | + | 362802.i | 0.679834 | + | 1.17751i | 0.975031 | + | 0.222071i | \(0.0712817\pi\) |
−0.295196 | + | 0.955437i | \(0.595385\pi\) | |||||||
\(38\) | −84323.2 | + | 478221.i | −0.249290 | + | 1.41379i | ||||
\(39\) | 484269. | + | 369946.i | 1.30726 | + | 0.998646i | ||||
\(40\) | −136296. | − | 49607.6i | −0.336723 | − | 0.122557i | ||||
\(41\) | 215118. | + | 78296.4i | 0.487453 | + | 0.177418i | 0.574042 | − | 0.818826i | \(-0.305375\pi\) |
−0.0865894 | + | 0.996244i | \(0.527597\pi\) | |||||||
\(42\) | −803599. | − | 613890.i | −1.67366 | − | 1.27855i | ||||
\(43\) | −21996.2 | + | 124747.i | −0.0421899 | + | 0.239271i | −0.998609 | − | 0.0527265i | \(-0.983209\pi\) |
0.956419 | + | 0.291998i | \(0.0943199\pi\) | |||||||
\(44\) | 243817. | + | 422303.i | 0.431499 | + | 0.747378i | ||||
\(45\) | 257299. | − | 558015.i | 0.420915 | − | 0.912856i | ||||
\(46\) | 8669.47 | − | 15016.0i | 0.0131323 | − | 0.0227458i | ||||
\(47\) | −325194. | − | 272870.i | −0.456877 | − | 0.383366i | 0.385103 | − | 0.922874i | \(-0.374166\pi\) |
−0.841981 | + | 0.539508i | \(0.818610\pi\) | |||||||
\(48\) | 421960. | − | 814838.i | 0.550715 | − | 1.06347i | ||||
\(49\) | 223906. | + | 1.26983e6i | 0.271881 | + | 1.54192i | ||||
\(50\) | 9326.08 | − | 7825.51i | 0.0105512 | − | 0.00885355i | ||||
\(51\) | −202817. | − | 905653.i | −0.214096 | − | 0.956018i | ||||
\(52\) | −1.14246e6 | + | 415823.i | −1.12676 | + | 0.410107i | ||||
\(53\) | 651094. | 0.600728 | 0.300364 | − | 0.953825i | \(-0.402892\pi\) | ||||
0.300364 | + | 0.953825i | \(0.402892\pi\) | |||||||
\(54\) | 1.28842e6 | + | 809212.i | 1.11348 | + | 0.699333i | ||||
\(55\) | 1.46851e6 | 1.19017 | ||||||||
\(56\) | −705132. | + | 256647.i | −0.536553 | + | 0.195289i | ||||
\(57\) | −1.12328e6 | + | 1.03374e6i | −0.803389 | + | 0.739346i | ||||
\(58\) | −1.39217e6 | + | 1.16817e6i | −0.936901 | + | 0.786153i | ||||
\(59\) | 31334.1 | + | 177705.i | 0.0198626 | + | 0.112646i | 0.993127 | − | 0.117041i | \(-0.0373408\pi\) |
−0.973265 | + | 0.229687i | \(0.926230\pi\) | |||||||
\(60\) | 660893. | + | 1.03250e6i | 0.395004 | + | 0.617109i | ||||
\(61\) | −1.87457e6 | − | 1.57295e6i | −1.05742 | − | 0.887281i | −0.0635661 | − | 0.997978i | \(-0.520247\pi\) |
−0.993854 | + | 0.110697i | \(0.964692\pi\) | |||||||
\(62\) | 1.31388e6 | − | 2.27571e6i | 0.700142 | − | 1.21268i | ||||
\(63\) | −835955. | − | 3.06715e6i | −0.421203 | − | 1.54541i | ||||
\(64\) | 423850. | + | 734130.i | 0.202107 | + | 0.350060i | ||||
\(65\) | −635786. | + | 3.60572e6i | −0.287153 | + | 1.62853i | ||||
\(66\) | −466872. | + | 3.60598e6i | −0.199892 | + | 1.54390i | ||||
\(67\) | 634629. | + | 230986.i | 0.257785 | + | 0.0938262i | 0.467680 | − | 0.883898i | \(-0.345090\pi\) |
−0.209895 | + | 0.977724i | \(0.567312\pi\) | |||||||
\(68\) | 1.73990e6 | + | 633271.i | 0.671031 | + | 0.244235i | ||||
\(69\) | 50313.7 | − | 20967.1i | 0.0184380 | − | 0.00768364i | ||||
\(70\) | 1.05503e6 | − | 5.98335e6i | 0.367638 | − | 2.08498i | ||||
\(71\) | 99174.4 | + | 171775.i | 0.0328848 | + | 0.0569582i | 0.881999 | − | 0.471250i | \(-0.156197\pi\) |
−0.849115 | + | 0.528209i | \(0.822864\pi\) | |||||||
\(72\) | 1.02115e6 | − | 481512.i | 0.322423 | − | 0.152035i | ||||
\(73\) | 1.58654e6 | − | 2.74797e6i | 0.477333 | − | 0.826765i | −0.522330 | − | 0.852744i | \(-0.674937\pi\) |
0.999662 | + | 0.0259789i | \(0.00827028\pi\) | |||||||
\(74\) | −4.77400e6 | − | 4.00586e6i | −1.36953 | − | 1.14917i | ||||
\(75\) | 38231.8 | − | 1751.38i | 0.0104643 | − | 0.000479364i | ||||
\(76\) | −528850. | − | 2.99926e6i | −0.138193 | − | 0.783729i | ||||
\(77\) | 5.81996e6 | − | 4.88352e6i | 1.45279 | − | 1.21903i | ||||
\(78\) | −8.65183e6 | − | 2.70753e6i | −2.06432 | − | 0.646014i | ||||
\(79\) | −1.88547e6 | + | 686256.i | −0.430254 | + | 0.156600i | −0.548064 | − | 0.836436i | \(-0.684635\pi\) |
0.117810 | + | 0.993036i | \(0.462413\pi\) | |||||||
\(80\) | 5.51306e6 | 1.20386 | ||||||||
\(81\) | 1.67436e6 | + | 4.48032e6i | 0.350067 | + | 0.936725i | ||||
\(82\) | −3.40549e6 | −0.682073 | ||||||||
\(83\) | −5.41964e6 | + | 1.97259e6i | −1.04039 | + | 0.378672i | −0.805029 | − | 0.593236i | \(-0.797850\pi\) |
−0.235363 | + | 0.971907i | \(0.575628\pi\) | |||||||
\(84\) | 6.05281e6 | + | 1.89418e6i | 1.11424 | + | 0.348694i | ||||
\(85\) | 4.27145e6 | − | 3.58417e6i | 0.754413 | − | 0.633027i | ||||
\(86\) | −327218. | − | 1.85575e6i | −0.0554745 | − | 0.314611i | ||||
\(87\) | −5.70713e6 | + | 261440.i | −0.929181 | + | 0.0425652i | ||||
\(88\) | 2.06686e6 | + | 1.73431e6i | 0.323313 | + | 0.271292i | ||||
\(89\) | −3.84449e6 | + | 6.65885e6i | −0.578061 | + | 1.00123i | 0.417641 | + | 0.908612i | \(0.362857\pi\) |
−0.995702 | + | 0.0926189i | \(0.970476\pi\) | |||||||
\(90\) | −757636. | + | 9.10959e6i | −0.109550 | + | 1.31720i | ||||
\(91\) | 9.47106e6 | + | 1.64044e7i | 1.31751 | + | 2.28199i | ||||
\(92\) | −18883.3 | + | 107093.i | −0.00252825 | + | 0.0143384i | ||||
\(93\) | 7.62519e6 | − | 3.17763e6i | 0.983015 | − | 0.409650i | ||||
\(94\) | 5.93421e6 | + | 2.15988e6i | 0.736912 | + | 0.268214i | ||||
\(95\) | −8.61850e6 | − | 3.13688e6i | −1.03133 | − | 0.375374i | ||||
\(96\) | −1.35595e6 | + | 1.04730e7i | −0.156421 | + | 1.20815i | ||||
\(97\) | 644396. | − | 3.65455e6i | 0.0716889 | − | 0.406568i | −0.927754 | − | 0.373192i | \(-0.878263\pi\) |
0.999443 | − | 0.0333755i | \(-0.0106257\pi\) | |||||||
\(98\) | −9.59079e6 | − | 1.66117e7i | −1.02935 | − | 1.78289i | ||||
\(99\) | −8.04791e6 | + | 8.11723e6i | −0.833604 | + | 0.840784i | ||||
\(100\) | −38176.8 | + | 66124.2i | −0.00381768 | + | 0.00661242i | ||||
\(101\) | 2.32678e6 | + | 1.95240e6i | 0.224714 | + | 0.188557i | 0.748193 | − | 0.663481i | \(-0.230922\pi\) |
−0.523479 | + | 0.852039i | \(0.675366\pi\) | |||||||
\(102\) | 7.44306e6 | + | 1.16282e7i | 0.694466 | + | 1.08495i | ||||
\(103\) | 1.18989e6 | + | 6.74820e6i | 0.107294 | + | 0.608496i | 0.990279 | + | 0.139094i | \(0.0444191\pi\) |
−0.882985 | + | 0.469401i | \(0.844470\pi\) | |||||||
\(104\) | −5.15318e6 | + | 4.32403e6i | −0.449219 | + | 0.376940i | ||||
\(105\) | 1.40541e7 | − | 1.29338e7i | 1.18479 | − | 1.09034i | ||||
\(106\) | −9.10162e6 | + | 3.31272e6i | −0.742246 | + | 0.270156i | ||||
\(107\) | 1.45630e6 | 0.114923 | 0.0574615 | − | 0.998348i | \(-0.481699\pi\) | ||||
0.0574615 | + | 0.998348i | \(0.481699\pi\) | |||||||
\(108\) | −9.32908e6 | − | 2.00534e6i | −0.712616 | − | 0.153181i | ||||
\(109\) | 2.55020e6 | 0.188617 | 0.0943086 | − | 0.995543i | \(-0.469936\pi\) | ||||
0.0943086 | + | 0.995543i | \(0.469936\pi\) | |||||||
\(110\) | −2.05283e7 | + | 7.47168e6i | −1.47054 | + | 0.535234i | ||||
\(111\) | −4.28134e6 | − | 1.91178e7i | −0.297132 | − | 1.32680i | ||||
\(112\) | 2.18492e7 | − | 1.83336e7i | 1.46951 | − | 1.23306i | ||||
\(113\) | 3.75329e6 | + | 2.12860e7i | 0.244702 | + | 1.38777i | 0.821183 | + | 0.570664i | \(0.193314\pi\) |
−0.576481 | + | 0.817110i | \(0.695575\pi\) | |||||||
\(114\) | 1.04427e7 | − | 2.01657e7i | 0.660156 | − | 1.27481i | ||||
\(115\) | 250868. | + | 210503.i | 0.0153816 | + | 0.0129067i | ||||
\(116\) | 5.69892e6 | − | 9.87082e6i | 0.338992 | − | 0.587152i | ||||
\(117\) | −1.64464e7 | − | 2.32748e7i | −0.949336 | − | 1.34349i | ||||
\(118\) | −1.34217e6 | − | 2.32470e6i | −0.0752003 | − | 0.130251i | ||||
\(119\) | 5.00933e6 | − | 2.84093e7i | 0.272499 | − | 1.54542i | ||||
\(120\) | 5.39014e6 | + | 4.11767e6i | 0.284752 | + | 0.217529i | ||||
\(121\) | −7.35799e6 | − | 2.67809e6i | −0.377581 | − | 0.137428i | ||||
\(122\) | 3.42076e7 | + | 1.24506e7i | 1.70555 | + | 0.620768i | ||||
\(123\) | −8.50735e6 | − | 6.49898e6i | −0.412217 | − | 0.314903i | ||||
\(124\) | −2.86182e6 | + | 1.62302e7i | −0.134793 | + | 0.764447i | ||||
\(125\) | −1.08604e7 | − | 1.88107e7i | −0.497347 | − | 0.861430i | ||||
\(126\) | 2.72912e7 | + | 3.86223e7i | 1.21542 | + | 1.72005i | ||||
\(127\) | −1.26383e7 | + | 2.18901e7i | −0.547488 | + | 0.948276i | 0.450958 | + | 0.892545i | \(0.351082\pi\) |
−0.998446 | + | 0.0557312i | \(0.982251\pi\) | |||||||
\(128\) | 1.24819e7 | + | 1.04736e7i | 0.526074 | + | 0.441429i | ||||
\(129\) | 2.72405e6 | − | 5.26036e6i | 0.111725 | − | 0.215750i | ||||
\(130\) | −9.45801e6 | − | 5.36390e7i | −0.377570 | − | 2.14131i | ||||
\(131\) | −1.79294e7 | + | 1.50446e7i | −0.696815 | + | 0.584697i | −0.920865 | − | 0.389881i | \(-0.872516\pi\) |
0.224051 | + | 0.974577i | \(0.428072\pi\) | |||||||
\(132\) | −4.98350e6 | − | 2.22532e7i | −0.188593 | − | 0.842138i | ||||
\(133\) | −4.45882e7 | + | 1.62288e7i | −1.64338 | + | 0.598143i | ||||
\(134\) | −1.00467e7 | −0.360709 | ||||||||
\(135\) | −1.92773e7 | + | 2.13111e7i | −0.674338 | + | 0.745482i | ||||
\(136\) | 1.02448e7 | 0.349233 | ||||||||
\(137\) | 1.17515e7 | − | 4.27721e6i | 0.390456 | − | 0.142115i | −0.139329 | − | 0.990246i | \(-0.544495\pi\) |
0.529786 | + | 0.848132i | \(0.322272\pi\) | |||||||
\(138\) | −596654. | + | 549091.i | −0.0193262 | + | 0.0177856i | ||||
\(139\) | −3.67752e6 | + | 3.08581e6i | −0.116146 | + | 0.0974579i | −0.699011 | − | 0.715111i | \(-0.746376\pi\) |
0.582865 | + | 0.812569i | \(0.301932\pi\) | |||||||
\(140\) | 6.61681e6 | + | 3.75258e7i | 0.203798 | + | 1.15580i | ||||
\(141\) | 1.07026e7 | + | 1.67204e7i | 0.321529 | + | 0.502320i | ||||
\(142\) | −2.26033e6 | − | 1.89665e6i | −0.0662466 | − | 0.0555875i | ||||
\(143\) | 3.40543e7 | − | 5.89838e7i | 0.973859 | − | 1.68677i | ||||
\(144\) | −3.02133e7 | + | 3.04735e7i | −0.843197 | + | 0.850460i | ||||
\(145\) | −1.71623e7 | − | 2.97260e7i | −0.467507 | − | 0.809746i | ||||
\(146\) | −8.19673e6 | + | 4.64860e7i | −0.217975 | + | 1.23619i | ||||
\(147\) | 7.74257e6 | − | 5.98012e7i | 0.201036 | − | 1.55274i | ||||
\(148\) | 3.67282e7 | + | 1.33680e7i | 0.931286 | + | 0.338960i | ||||
\(149\) | 6.23558e7 | + | 2.26956e7i | 1.54428 | + | 0.562070i | 0.967066 | − | 0.254526i | \(-0.0819195\pi\) |
0.577209 | + | 0.816596i | \(0.304142\pi\) | |||||||
\(150\) | −525530. | + | 219003.i | −0.0127139 | + | 0.00529823i | ||||
\(151\) | 1.12358e7 | − | 6.37212e7i | 0.265573 | − | 1.50614i | −0.501826 | − | 0.864969i | \(-0.667338\pi\) |
0.767399 | − | 0.641170i | \(-0.221551\pi\) | |||||||
\(152\) | −8.42551e6 | − | 1.45934e7i | −0.194600 | − | 0.337058i | ||||
\(153\) | −3.59730e6 | + | 4.32529e7i | −0.0812002 | + | 0.976327i | ||||
\(154\) | −5.65100e7 | + | 9.78781e7i | −1.24682 | + | 2.15955i | ||||
\(155\) | 3.80198e7 | + | 3.19024e7i | 0.820066 | + | 0.688117i | ||||
\(156\) | 5.67971e7 | − | 2.60184e6i | 1.19782 | − | 0.0548712i | ||||
\(157\) | 3.29216e6 | + | 1.86708e7i | 0.0678941 | + | 0.385047i | 0.999753 | + | 0.0222258i | \(0.00707527\pi\) |
−0.931859 | + | 0.362821i | \(0.881814\pi\) | |||||||
\(158\) | 2.28653e7 | − | 1.91863e7i | 0.461188 | − | 0.386982i | ||||
\(159\) | −2.90590e7 | − | 9.09380e6i | −0.573311 | − | 0.179414i | ||||
\(160\) | −5.96209e7 | + | 2.17002e7i | −1.15074 | + | 0.418837i | ||||
\(161\) | 1.69426e6 | 0.0319955 | ||||||||
\(162\) | −4.62014e7 | − | 5.41113e7i | −0.853793 | − | 0.999966i | ||||
\(163\) | −8.36502e7 | −1.51290 | −0.756450 | − | 0.654051i | \(-0.773068\pi\) | ||||
−0.756450 | + | 0.654051i | \(0.773068\pi\) | |||||||
\(164\) | 2.00701e7 | − | 7.30493e6i | 0.355301 | − | 0.129319i | ||||
\(165\) | −6.55411e7 | − | 2.05106e7i | −1.13585 | − | 0.355456i | ||||
\(166\) | 6.57245e7 | − | 5.51494e7i | 1.11519 | − | 0.935756i | ||||
\(167\) | 7.92334e6 | + | 4.49355e7i | 0.131644 | + | 0.746590i | 0.977138 | + | 0.212605i | \(0.0681948\pi\) |
−0.845494 | + | 0.533984i | \(0.820694\pi\) | |||||||
\(168\) | 3.50553e7 | − | 1.60586e6i | 0.570389 | − | 0.0261292i | ||||
\(169\) | 8.20144e7 | + | 6.88183e7i | 1.30703 | + | 1.09673i | ||||
\(170\) | −4.14744e7 | + | 7.18358e7i | −0.647454 | + | 1.12142i | ||||
\(171\) | 6.45712e7 | − | 3.04479e7i | 0.987535 | − | 0.465661i | ||||
\(172\) | 5.90912e6 | + | 1.02349e7i | 0.0885468 | + | 0.153368i | ||||
\(173\) | −8.80285e6 | + | 4.99234e7i | −0.129259 | + | 0.733066i | 0.849427 | + | 0.527706i | \(0.176948\pi\) |
−0.978686 | + | 0.205360i | \(0.934163\pi\) | |||||||
\(174\) | 7.84495e7 | − | 3.26921e7i | 1.12893 | − | 0.470458i | ||||
\(175\) | 1.11786e6 | + | 406868.i | 0.0157672 | + | 0.00573879i | ||||
\(176\) | −9.63696e7 | − | 3.50757e7i | −1.33243 | − | 0.484966i | ||||
\(177\) | 1.08352e6 | − | 8.36877e6i | 0.0146869 | − | 0.113437i | ||||
\(178\) | 1.98622e7 | − | 1.12644e8i | 0.263972 | − | 1.49706i | ||||
\(179\) | 3.53574e7 | + | 6.12409e7i | 0.460782 | + | 0.798098i | 0.999000 | − | 0.0447080i | \(-0.0142357\pi\) |
−0.538218 | + | 0.842805i | \(0.680902\pi\) | |||||||
\(180\) | −1.50754e7 | − | 5.53123e7i | −0.192670 | − | 0.706916i | ||||
\(181\) | 1.97529e7 | − | 3.42129e7i | 0.247602 | − | 0.428860i | −0.715258 | − | 0.698861i | \(-0.753691\pi\) |
0.962860 | + | 0.270001i | \(0.0870240\pi\) | |||||||
\(182\) | −2.15860e8 | − | 1.81128e8i | −2.65413 | − | 2.22708i | ||||
\(183\) | 6.16946e7 | + | 9.63845e7i | 0.744164 | + | 1.16259i | ||||
\(184\) | 104482. | + | 592548.i | 0.00123646 | + | 0.00701231i | ||||
\(185\) | 9.01677e7 | − | 7.56597e7i | 1.04701 | − | 0.878544i | ||||
\(186\) | −9.04247e7 | + | 8.32164e7i | −1.03037 | + | 0.948229i | ||||
\(187\) | −9.74695e7 | + | 3.54760e7i | −1.08999 | + | 0.396725i | ||||
\(188\) | −3.96061e7 | −0.434720 | ||||||||
\(189\) | −5.52929e6 | + | 1.48566e8i | −0.0595735 | + | 1.60067i | ||||
\(190\) | 1.36438e8 | 1.44310 | ||||||||
\(191\) | −6.48347e7 | + | 2.35979e7i | −0.673272 | + | 0.245051i | −0.655956 | − | 0.754799i | \(-0.727734\pi\) |
−0.0173159 | + | 0.999850i | \(0.505512\pi\) | |||||||
\(192\) | −8.66329e6 | − | 3.86848e7i | −0.0883341 | − | 0.394445i | ||||
\(193\) | −1.22446e8 | + | 1.02745e8i | −1.22601 | + | 1.02875i | −0.227525 | + | 0.973772i | \(0.573063\pi\) |
−0.998488 | + | 0.0549746i | \(0.982492\pi\) | |||||||
\(194\) | 9.58610e6 | + | 5.43655e7i | 0.0942618 | + | 0.534585i | ||||
\(195\) | 7.87366e7 | − | 1.52047e8i | 0.760424 | − | 1.46844i | ||||
\(196\) | 9.21560e7 | + | 7.73281e7i | 0.874233 | + | 0.733569i | ||||
\(197\) | 1.06329e8 | − | 1.84167e8i | 0.990878 | − | 1.71625i | 0.378735 | − | 0.925505i | \(-0.376359\pi\) |
0.612144 | − | 0.790746i | \(-0.290307\pi\) | |||||||
\(198\) | 7.12015e7 | − | 1.54418e8i | 0.651870 | − | 1.41374i | ||||
\(199\) | 9.66545e7 | + | 1.67411e8i | 0.869434 | + | 1.50590i | 0.862576 | + | 0.505927i | \(0.168849\pi\) |
0.00685748 | + | 0.999976i | \(0.497817\pi\) | |||||||
\(200\) | −73360.9 | + | 416050.i | −0.000648425 | + | 0.00367740i | ||||
\(201\) | −2.50979e7 | − | 1.91730e7i | −0.217998 | − | 0.166534i | ||||
\(202\) | −4.24596e7 | − | 1.54540e7i | −0.362448 | − | 0.131920i | ||||
\(203\) | −1.66871e8 | − | 6.07360e7i | −1.40005 | − | 0.509577i | ||||
\(204\) | −6.88084e7 | − | 5.25645e7i | −0.567461 | − | 0.433498i | ||||
\(205\) | 1.11691e7 | − | 6.33431e7i | 0.0905482 | − | 0.513524i | ||||
\(206\) | −5.09678e7 | − | 8.82787e7i | −0.406219 | − | 0.703592i | ||||
\(207\) | −2.53840e6 | + | 233054.i | −0.0198913 | + | 0.00182625i | ||||
\(208\) | 1.27846e8 | − | 2.21436e8i | 0.985066 | − | 1.70618i | ||||
\(209\) | 1.30696e8 | + | 1.09667e8i | 0.990260 | + | 0.830927i | ||||
\(210\) | −1.30656e8 | + | 2.52307e8i | −0.973559 | + | 1.88002i | ||||
\(211\) | −5.41896e6 | − | 3.07324e7i | −0.0397125 | − | 0.225221i | 0.958492 | − | 0.285120i | \(-0.0920333\pi\) |
−0.998204 | + | 0.0598988i | \(0.980922\pi\) | |||||||
\(212\) | 4.65342e7 | − | 3.90468e7i | 0.335426 | − | 0.281456i | ||||
\(213\) | −2.02708e6 | − | 9.05166e6i | −0.0143728 | − | 0.0641800i | ||||
\(214\) | −2.03575e7 | + | 7.40954e6i | −0.141996 | + | 0.0516824i | ||||
\(215\) | 3.55907e7 | 0.244231 | ||||||||
\(216\) | −5.23002e7 | + | 7.22800e6i | −0.353114 | + | 0.0488012i | ||||
\(217\) | 2.56770e8 | 1.70583 | ||||||||
\(218\) | −3.56491e7 | + | 1.29752e7i | −0.233051 | + | 0.0848237i | ||||
\(219\) | −1.09190e8 | + | 1.00485e8i | −0.702469 | + | 0.646471i | ||||
\(220\) | 1.04956e8 | − | 8.80682e7i | 0.664548 | − | 0.557622i | ||||
\(221\) | −4.49072e7 | − | 2.54682e8i | −0.279862 | − | 1.58717i | ||||
\(222\) | 1.57119e8 | + | 2.45464e8i | 0.963811 | + | 1.50575i | ||||
\(223\) | −1.41637e8 | − | 1.18848e8i | −0.855285 | − | 0.717670i | 0.105662 | − | 0.994402i | \(-0.466304\pi\) |
−0.960947 | + | 0.276732i | \(0.910748\pi\) | |||||||
\(224\) | −1.64124e8 | + | 2.84271e8i | −0.975671 | + | 1.68991i | ||||
\(225\) | −1.73079e6 | − | 455816.i | −0.0101299 | − | 0.00266779i | ||||
\(226\) | −1.60769e8 | − | 2.78459e8i | −0.926449 | − | 1.60466i | ||||
\(227\) | −1.48267e6 | + | 8.40864e6i | −0.00841306 | + | 0.0477128i | −0.988725 | − | 0.149741i | \(-0.952156\pi\) |
0.980312 | + | 0.197454i | \(0.0632672\pi\) | |||||||
\(228\) | −1.82874e7 | + | 1.41246e8i | −0.102183 | + | 0.789232i | ||||
\(229\) | 4.96069e7 | + | 1.80554e7i | 0.272972 | + | 0.0993536i | 0.474879 | − | 0.880051i | \(-0.342492\pi\) |
−0.201907 | + | 0.979405i | \(0.564714\pi\) | |||||||
\(230\) | −4.57790e6 | − | 1.66622e6i | −0.0248095 | − | 0.00902994i | ||||
\(231\) | −3.27958e8 | + | 1.36669e8i | −1.75056 | + | 0.729507i | ||||
\(232\) | 1.09511e7 | − | 6.21067e7i | 0.0575770 | − | 0.326536i | ||||
\(233\) | 1.86820e8 | + | 3.23582e8i | 0.967559 | + | 1.67586i | 0.702576 | + | 0.711609i | \(0.252033\pi\) |
0.264983 | + | 0.964253i | \(0.414634\pi\) | |||||||
\(234\) | 3.48324e8 | + | 2.41679e8i | 1.77716 | + | 1.23306i | ||||
\(235\) | −5.96370e7 | + | 1.03294e8i | −0.299763 | + | 0.519205i | ||||
\(236\) | 1.28966e7 | + | 1.08215e7i | 0.0638680 | + | 0.0535916i | ||||
\(237\) | 9.37354e7 | − | 4.29396e6i | 0.457388 | − | 0.0209527i | ||||
\(238\) | 7.45194e7 | + | 4.22620e8i | 0.358302 | + | 2.03203i | ||||
\(239\) | −9.83600e7 | + | 8.25339e7i | −0.466043 | + | 0.391057i | −0.845349 | − | 0.534215i | \(-0.820607\pi\) |
0.379306 | + | 0.925271i | \(0.376163\pi\) | |||||||
\(240\) | −2.46053e8 | − | 7.70006e7i | −1.14892 | − | 0.359546i | ||||
\(241\) | 1.54190e7 | − | 5.61206e6i | 0.0709572 | − | 0.0258263i | −0.306298 | − | 0.951936i | \(-0.599090\pi\) |
0.377255 | + | 0.926109i | \(0.376868\pi\) | |||||||
\(242\) | 1.16483e8 | 0.528335 | ||||||||
\(243\) | −1.21518e7 | − | 2.23347e8i | −0.0543275 | − | 0.998523i | ||||
\(244\) | −2.28309e8 | −1.00614 | ||||||||
\(245\) | 3.40439e8 | − | 1.23910e8i | 1.47896 | − | 0.538299i | ||||
\(246\) | 1.51990e8 | + | 4.75643e7i | 0.650943 | + | 0.203708i | ||||
\(247\) | −3.25855e8 | + | 2.73425e8i | −1.37589 | + | 1.15451i | ||||
\(248\) | 1.58346e7 | + | 8.98024e7i | 0.0659213 | + | 0.373858i | ||||
\(249\) | 2.69435e8 | − | 1.23427e7i | 1.10600 | − | 0.0506653i | ||||
\(250\) | 2.47524e8 | + | 2.07697e8i | 1.00191 | + | 0.840700i | ||||
\(251\) | 3.82624e7 | − | 6.62724e7i | 0.152726 | − | 0.264530i | −0.779502 | − | 0.626399i | \(-0.784528\pi\) |
0.932229 | + | 0.361869i | \(0.117861\pi\) | |||||||
\(252\) | −2.43687e8 | − | 1.69079e8i | −0.959246 | − | 0.665559i | ||||
\(253\) | −3.04595e6 | − | 5.27574e6i | −0.0118250 | − | 0.0204815i | ||||
\(254\) | 6.52945e7 | − | 3.70304e8i | 0.250011 | − | 1.41788i | ||||
\(255\) | −2.40699e8 | + | 1.00306e8i | −0.909041 | + | 0.378823i | ||||
\(256\) | −3.29735e8 | − | 1.20014e8i | −1.22836 | − | 0.447086i | ||||
\(257\) | −4.35244e8 | − | 1.58416e8i | −1.59944 | − | 0.582147i | −0.620124 | − | 0.784504i | \(-0.712918\pi\) |
−0.979312 | + | 0.202357i | \(0.935140\pi\) | |||||||
\(258\) | −1.13151e7 | + | 8.73941e7i | −0.0410193 | + | 0.316820i | ||||
\(259\) | 1.05744e8 | − | 5.99704e8i | 0.378187 | − | 2.14480i | ||||
\(260\) | 1.70799e8 | + | 2.95832e8i | 0.602668 | + | 1.04385i | ||||
\(261\) | 2.58366e8 | + | 6.80428e7i | 0.899485 | + | 0.236887i | ||||
\(262\) | 1.74089e8 | − | 3.01531e8i | 0.598022 | − | 1.03581i | ||||
\(263\) | 8.43471e7 | + | 7.07756e7i | 0.285907 | + | 0.239905i | 0.774450 | − | 0.632636i | \(-0.218027\pi\) |
−0.488543 | + | 0.872540i | \(0.662471\pi\) | |||||||
\(264\) | −6.80232e7 | − | 1.06272e8i | −0.227533 | − | 0.355470i | ||||
\(265\) | −3.17667e7 | − | 1.80158e8i | −0.104860 | − | 0.594692i | ||||
\(266\) | 5.40726e8 | − | 4.53723e8i | 1.76154 | − | 1.47810i | ||||
\(267\) | 2.64587e8 | − | 2.43495e8i | 0.850706 | − | 0.782891i | ||||
\(268\) | 5.92099e7 | − | 2.15506e7i | 0.187898 | − | 0.0683893i | ||||
\(269\) | −4.69317e8 | −1.47005 | −0.735027 | − | 0.678038i | \(-0.762830\pi\) | ||||
−0.735027 | + | 0.678038i | \(0.762830\pi\) | |||||||
\(270\) | 1.61047e8 | − | 3.95988e8i | 0.497944 | − | 1.22436i | ||||
\(271\) | −2.09491e8 | −0.639401 | −0.319700 | − | 0.947519i | \(-0.603582\pi\) | ||||
−0.319700 | + | 0.947519i | \(0.603582\pi\) | |||||||
\(272\) | −3.65918e8 | + | 1.33183e8i | −1.10254 | + | 0.401290i | ||||
\(273\) | −1.93584e8 | − | 8.64425e8i | −0.575838 | − | 2.57133i | ||||
\(274\) | −1.42512e8 | + | 1.19582e8i | −0.418528 | + | 0.351187i | ||||
\(275\) | −742755. | − | 4.21237e6i | −0.00215368 | − | 0.0122141i | ||||
\(276\) | 2.33854e6 | − | 4.51590e6i | 0.00669518 | − | 0.0129289i | ||||
\(277\) | 2.62394e8 | + | 2.20175e8i | 0.741779 | + | 0.622426i | 0.933315 | − | 0.359059i | \(-0.116902\pi\) |
−0.191536 | + | 0.981486i | \(0.561347\pi\) | |||||||
\(278\) | 3.57076e7 | − | 6.18474e7i | 0.0996790 | − | 0.172649i | ||||
\(279\) | −3.84701e8 | + | 3.53200e7i | −1.06050 | + | 0.0973658i | ||||
\(280\) | 1.05417e8 | + | 1.82588e8i | 0.286985 | + | 0.497073i | ||||
\(281\) | −5.75090e7 | + | 3.26150e8i | −0.154619 | + | 0.876889i | 0.804514 | + | 0.593934i | \(0.202426\pi\) |
−0.959133 | + | 0.282955i | \(0.908685\pi\) | |||||||
\(282\) | −2.34683e8 | − | 1.79280e8i | −0.623174 | − | 0.476059i | ||||
\(283\) | 3.85415e8 | + | 1.40279e8i | 1.01082 | + | 0.367910i | 0.793749 | − | 0.608245i | \(-0.208126\pi\) |
0.217075 | + | 0.976155i | \(0.430348\pi\) | |||||||
\(284\) | 1.73896e7 | + | 6.32930e6i | 0.0450480 | + | 0.0163961i | ||||
\(285\) | 3.40839e8 | + | 2.60376e8i | 0.872153 | + | 0.666260i | ||||
\(286\) | −1.75939e8 | + | 9.97798e8i | −0.444714 | + | 2.52210i | ||||
\(287\) | −1.66382e8 | − | 2.88182e8i | −0.415451 | − | 0.719582i | ||||
\(288\) | 2.06793e8 | − | 4.48480e8i | 0.510108 | − | 1.10629i | ||||
\(289\) | 8.24614e6 | − | 1.42827e7i | 0.0200959 | − | 0.0348072i | ||||
\(290\) | 3.91155e8 | + | 3.28218e8i | 0.941795 | + | 0.790260i | ||||
\(291\) | −7.98030e7 | + | 1.54106e8i | −0.189843 | + | 0.366601i | ||||
\(292\) | −5.14074e7 | − | 2.91546e8i | −0.120833 | − | 0.685278i | ||||
\(293\) | −3.29074e8 | + | 2.76126e8i | −0.764288 | + | 0.641313i | −0.939239 | − | 0.343264i | \(-0.888468\pi\) |
0.174951 | + | 0.984577i | \(0.444023\pi\) | |||||||
\(294\) | 1.96031e8 | + | 8.75352e8i | 0.449893 | + | 2.00894i | ||||
\(295\) | 4.76421e7 | − | 1.73403e7i | 0.108047 | − | 0.0393260i | ||||
\(296\) | 2.16261e8 | 0.484682 | ||||||||
\(297\) | 4.72559e8 | − | 2.49875e8i | 1.04667 | − | 0.553446i | ||||
\(298\) | −9.87143e8 | −2.16084 | ||||||||
\(299\) | 1.42726e7 | − | 5.19479e6i | 0.0308782 | − | 0.0112388i | ||||
\(300\) | 2.62742e6 | − | 2.41798e6i | 0.00561831 | − | 0.00517044i | ||||
\(301\) | 1.41052e8 | − | 1.18357e8i | 0.298123 | − | 0.250155i | ||||
\(302\) | 1.67145e8 | + | 9.47924e8i | 0.349195 | + | 1.98038i | ||||
\(303\) | −7.65773e7 | − | 1.19635e8i | −0.158143 | − | 0.247065i | ||||
\(304\) | 4.90655e8 | + | 4.11708e8i | 1.00166 | + | 0.840489i | ||||
\(305\) | −3.43776e8 | + | 5.95438e8i | −0.693788 | + | 1.20168i | ||||
\(306\) | −1.69781e8 | − | 6.22934e8i | −0.338738 | − | 1.24284i | ||||
\(307\) | −1.18005e8 | − | 2.04391e8i | −0.232764 | − | 0.403159i | 0.725856 | − | 0.687846i | \(-0.241444\pi\) |
−0.958621 | + | 0.284687i | \(0.908110\pi\) | |||||||
\(308\) | 1.23086e8 | − | 6.98058e8i | 0.240040 | − | 1.36133i | ||||
\(309\) | 4.11458e7 | − | 3.17798e8i | 0.0793362 | − | 0.612768i | ||||
\(310\) | −6.93794e8 | − | 2.52520e8i | −1.32271 | − | 0.481427i | ||||
\(311\) | −2.11061e8 | − | 7.68201e7i | −0.397876 | − | 0.144815i | 0.135330 | − | 0.990801i | \(-0.456791\pi\) |
−0.533206 | + | 0.845986i | \(0.679013\pi\) | |||||||
\(312\) | 2.90385e8 | − | 1.21011e8i | 0.541294 | − | 0.225572i | ||||
\(313\) | −5.05690e7 | + | 2.86791e8i | −0.0932136 | + | 0.528641i | 0.902067 | + | 0.431597i | \(0.142050\pi\) |
−0.995280 | + | 0.0970436i | \(0.969061\pi\) | |||||||
\(314\) | −1.41017e8 | − | 2.44248e8i | −0.257049 | − | 0.445222i | ||||
\(315\) | −8.07896e8 | + | 3.80954e8i | −1.45636 | + | 0.686730i | ||||
\(316\) | −9.36006e7 | + | 1.62121e8i | −0.166868 | + | 0.289024i | ||||
\(317\) | 1.81766e8 | + | 1.52519e8i | 0.320483 | + | 0.268917i | 0.788809 | − | 0.614639i | \(-0.210698\pi\) |
−0.468326 | + | 0.883556i | \(0.655143\pi\) | |||||||
\(318\) | 4.52483e8 | − | 2.07280e7i | 0.789055 | − | 0.0361462i | ||||
\(319\) | 1.10876e8 | + | 6.28810e8i | 0.191237 | + | 1.08456i | ||||
\(320\) | 1.82454e8 | − | 1.53097e8i | 0.311264 | − | 0.261182i | ||||
\(321\) | −6.49960e7 | − | 2.03401e7i | −0.109678 | − | 0.0343229i | ||||
\(322\) | −2.36840e7 | + | 8.62026e6i | −0.0395329 | + | 0.0143888i | ||||
\(323\) | 6.47815e8 | 1.06965 | ||||||||
\(324\) | 3.88358e8 | + | 2.19799e8i | 0.634343 | + | 0.359020i | ||||
\(325\) | 1.06644e7 | 0.0172324 | ||||||||
\(326\) | 1.16934e9 | − | 4.25606e8i | 1.86931 | − | 0.680372i | ||||
\(327\) | −1.13818e8 | − | 3.56185e7i | −0.180009 | − | 0.0563324i | ||||
\(328\) | 9.05279e7 | − | 7.59620e7i | 0.141652 | − | 0.118861i | ||||
\(329\) | 1.07153e8 | + | 6.07695e8i | 0.165890 | + | 0.940806i | ||||
\(330\) | 1.02055e9 | − | 4.67510e7i | 1.56328 | − | 0.0716130i | ||||
\(331\) | −2.05567e8 | − | 1.72491e8i | −0.311570 | − | 0.261438i | 0.473571 | − | 0.880756i | \(-0.342965\pi\) |
−0.785141 | + | 0.619318i | \(0.787409\pi\) | |||||||
\(332\) | −2.69047e8 | + | 4.66004e8i | −0.403502 | + | 0.698886i | ||||
\(333\) | −7.59369e7 | + | 9.13043e8i | −0.112693 | + | 1.35499i | ||||
\(334\) | −3.39389e8 | − | 5.87838e8i | −0.498408 | − | 0.863267i | ||||
\(335\) | 3.29505e7 | − | 1.86872e8i | 0.0478856 | − | 0.271573i | ||||
\(336\) | −1.23121e9 | + | 5.13081e8i | −1.77070 | + | 0.737902i | ||||
\(337\) | −4.05987e7 | − | 1.47767e7i | −0.0577840 | − | 0.0210317i | 0.312966 | − | 0.949764i | \(-0.398677\pi\) |
−0.370750 | + | 0.928733i | \(0.620899\pi\) | |||||||
\(338\) | −1.49662e9 | − | 5.44725e8i | −2.10816 | − | 0.767306i | ||||
\(339\) | 1.29787e8 | − | 1.00244e9i | 0.180939 | − | 1.39752i | ||||
\(340\) | 9.03370e7 | − | 5.12327e8i | 0.124649 | − | 0.706921i | ||||
\(341\) | −4.61623e8 | − | 7.99554e8i | −0.630445 | − | 1.09196i | ||||
\(342\) | −7.47722e8 | + | 7.54163e8i | −1.01076 | + | 1.01947i | ||||
\(343\) | 3.38603e8 | − | 5.86477e8i | 0.453065 | − | 0.784732i | ||||
\(344\) | 5.00923e7 | + | 4.20324e7i | 0.0663462 | + | 0.0556711i | ||||
\(345\) | −8.25640e6 | − | 1.28988e7i | −0.0108249 | − | 0.0169115i | ||||
\(346\) | −1.30952e8 | − | 7.42666e8i | −0.169960 | − | 0.963890i | ||||
\(347\) | 5.77414e8 | − | 4.84508e8i | 0.741880 | − | 0.622512i | −0.191462 | − | 0.981500i | \(-0.561323\pi\) |
0.933342 | + | 0.358988i | \(0.116878\pi\) | |||||||
\(348\) | −3.92214e8 | + | 3.60948e8i | −0.498879 | + | 0.459110i | ||||
\(349\) | 1.09453e9 | − | 3.98378e8i | 1.37829 | − | 0.501656i | 0.456630 | − | 0.889657i | \(-0.349056\pi\) |
0.921659 | + | 0.388001i | \(0.126834\pi\) | |||||||
\(350\) | −1.76967e7 | −0.0220624 | ||||||||
\(351\) | 4.08940e8 | + | 1.26848e9i | 0.504760 | + | 1.56570i | ||||
\(352\) | 1.18025e9 | 1.44237 | ||||||||
\(353\) | 9.91085e8 | − | 3.60726e8i | 1.19922 | − | 0.436481i | 0.336269 | − | 0.941766i | \(-0.390835\pi\) |
0.862953 | + | 0.505285i | \(0.168613\pi\) | |||||||
\(354\) | 2.74332e7 | + | 1.22500e8i | 0.0328674 | + | 0.146765i | ||||
\(355\) | 4.26915e7 | − | 3.58224e7i | 0.0506457 | − | 0.0424968i | ||||
\(356\) | 1.24570e8 | + | 7.06471e8i | 0.146332 | + | 0.829888i | ||||
\(357\) | −6.20363e8 | + | 1.19797e9i | −0.721618 | + | 1.39350i | ||||
\(358\) | −8.05850e8 | − | 6.76188e8i | −0.928247 | − | 0.778892i | ||||
\(359\) | −1.38517e8 | + | 2.39918e8i | −0.158005 | + | 0.273673i | −0.934149 | − | 0.356882i | \(-0.883840\pi\) |
0.776144 | + | 0.630556i | \(0.217173\pi\) | |||||||
\(360\) | −1.83056e8 | − | 2.59060e8i | −0.206788 | − | 0.292645i | ||||
\(361\) | −8.58414e7 | − | 1.48682e8i | −0.0960332 | − | 0.166334i | ||||
\(362\) | −1.02051e8 | + | 5.78763e8i | −0.113068 | + | 0.641240i | ||||
\(363\) | 2.90990e8 | + | 2.22295e8i | 0.319304 | + | 0.243925i | ||||
\(364\) | 1.66069e9 | + | 6.04442e8i | 1.80482 | + | 0.656901i | ||||
\(365\) | −8.37770e8 | − | 3.04923e8i | −0.901779 | − | 0.328221i | ||||
\(366\) | −1.35282e9 | − | 1.03346e9i | −1.44231 | − | 1.10182i | ||||
\(367\) | −8.94979e7 | + | 5.07568e8i | −0.0945108 | + | 0.535998i | 0.900385 | + | 0.435093i | \(0.143285\pi\) |
−0.994896 | + | 0.100904i | \(0.967826\pi\) | |||||||
\(368\) | −1.14350e7 | − | 1.98061e7i | −0.0119611 | − | 0.0207172i | ||||
\(369\) | 2.88920e8 | + | 4.08878e8i | 0.299354 | + | 0.423644i | ||||
\(370\) | −8.75500e8 | + | 1.51641e9i | −0.898566 | + | 1.55636i | ||||
\(371\) | −7.25010e8 | − | 6.08355e8i | −0.737115 | − | 0.618513i | ||||
\(372\) | 3.54412e8 | − | 6.84398e8i | 0.356951 | − | 0.689300i | ||||
\(373\) | −1.53209e8 | − | 8.68892e8i | −0.152863 | − | 0.866931i | −0.960713 | − | 0.277543i | \(-0.910480\pi\) |
0.807850 | − | 0.589388i | \(-0.200631\pi\) | |||||||
\(374\) | 1.18202e9 | − | 9.91835e8i | 1.16836 | − | 0.980368i | ||||
\(375\) | 2.21981e8 | + | 9.91227e8i | 0.217373 | + | 0.970652i | ||||
\(376\) | −2.05927e8 | + | 7.49512e7i | −0.199781 | + | 0.0727145i | ||||
\(377\) | −1.59196e9 | −1.53016 | ||||||||
\(378\) | −6.78598e8 | − | 2.10493e9i | −0.646236 | − | 2.00455i | ||||
\(379\) | 7.76438e8 | 0.732605 | 0.366302 | − | 0.930496i | \(-0.380624\pi\) | ||||
0.366302 | + | 0.930496i | \(0.380624\pi\) | |||||||
\(380\) | −8.04092e8 | + | 2.92666e8i | −0.751732 | + | 0.273608i | ||||
\(381\) | 8.69796e8 | − | 8.00459e8i | 0.805712 | − | 0.741484i | ||||
\(382\) | 7.86257e8 | − | 6.59748e8i | 0.721677 | − | 0.605559i | ||||
\(383\) | 8.65351e6 | + | 4.90765e7i | 0.00787040 | + | 0.0446352i | 0.988490 | − | 0.151286i | \(-0.0483414\pi\) |
−0.980620 | + | 0.195921i | \(0.937230\pi\) | |||||||
\(384\) | −4.10797e8 | − | 6.41781e8i | −0.370227 | − | 0.578399i | ||||
\(385\) | −1.63523e9 | − | 1.37212e9i | −1.46038 | − | 1.22540i | ||||
\(386\) | 1.18891e9 | − | 2.05926e9i | 1.05219 | − | 1.82245i | ||||
\(387\) | −1.95048e8 | + | 1.96728e8i | −0.171062 | + | 0.172535i | ||||
\(388\) | −1.73112e8 | − | 2.99839e8i | −0.150458 | − | 0.260601i | ||||
\(389\) | −9.37950e7 | + | 5.31938e8i | −0.0807897 | + | 0.458181i | 0.917396 | + | 0.397975i | \(0.130287\pi\) |
−0.998186 | + | 0.0602061i | \(0.980824\pi\) | |||||||
\(390\) | −3.27054e8 | + | 2.52606e9i | −0.279186 | + | 2.15634i | ||||
\(391\) | −2.17362e7 | − | 7.91131e6i | −0.0183893 | − | 0.00669314i | ||||
\(392\) | 6.25489e8 | + | 2.27659e8i | 0.524467 | + | 0.190891i | ||||
\(393\) | 1.01034e9 | − | 4.21035e8i | 0.839637 | − | 0.349900i | ||||
\(394\) | −5.49340e8 | + | 3.11546e9i | −0.452486 | + | 2.56617i | ||||
\(395\) | 2.81879e8 | + | 4.88228e8i | 0.230130 | + | 0.398596i | ||||
\(396\) | −8.83909e7 | + | 1.06279e9i | −0.0715277 | + | 0.860028i | ||||
\(397\) | −1.47182e8 | + | 2.54926e8i | −0.118056 | + | 0.204478i | −0.918997 | − | 0.394264i | \(-0.870999\pi\) |
0.800941 | + | 0.598743i | \(0.204333\pi\) | |||||||
\(398\) | −2.20290e9 | − | 1.84846e9i | −1.75148 | − | 1.46966i | ||||
\(399\) | 2.21668e9 | − | 1.01545e8i | 1.74702 | − | 0.0800301i | ||||
\(400\) | −2.78844e6 | − | 1.58140e7i | −0.00217846 | − | 0.0123547i | ||||
\(401\) | 1.87746e7 | − | 1.57538e7i | 0.0145400 | − | 0.0122005i | −0.635489 | − | 0.772110i | \(-0.719201\pi\) |
0.650029 | + | 0.759910i | \(0.274757\pi\) | |||||||
\(402\) | 4.48394e8 | + | 1.40322e8i | 0.344246 | + | 0.107729i | ||||
\(403\) | 2.16305e9 | − | 7.87285e8i | 1.64626 | − | 0.599190i | ||||
\(404\) | 2.83384e8 | 0.213816 | ||||||||
\(405\) | 1.15801e9 | − | 6.81889e8i | 0.866207 | − | 0.510060i | ||||
\(406\) | 2.64170e9 | 1.95904 | ||||||||
\(407\) | −2.05752e9 | + | 7.48877e8i | −1.51274 | + | 0.550592i | ||||
\(408\) | −4.57234e8 | − | 1.43088e8i | −0.333294 | − | 0.104302i | ||||
\(409\) | −4.46240e8 | + | 3.74440e8i | −0.322506 | + | 0.270614i | −0.789638 | − | 0.613573i | \(-0.789732\pi\) |
0.467132 | + | 0.884187i | \(0.345287\pi\) | |||||||
\(410\) | 1.66153e8 | + | 9.42299e8i | 0.119059 | + | 0.675220i | ||||
\(411\) | −5.84222e8 | + | 2.67629e7i | −0.415080 | + | 0.0190146i | ||||
\(412\) | 4.89739e8 | + | 4.10940e8i | 0.345004 | + | 0.289493i | ||||
\(413\) | 1.31149e8 | − | 2.27156e8i | 0.0916091 | − | 0.158672i | ||||
\(414\) | 3.42984e7 | − | 1.61730e7i | 0.0237560 | − | 0.0112019i | ||||
\(415\) | 8.10237e8 | + | 1.40337e9i | 0.556473 | + | 0.963839i | ||||
\(416\) | −5.10985e8 | + | 2.89794e9i | −0.348002 | + | 1.97362i | ||||
\(417\) | 2.07231e8 | − | 8.63588e7i | 0.139952 | − | 0.0583218i | ||||
\(418\) | −2.38497e9 | − | 8.68057e8i | −1.59722 | − | 0.581341i | ||||
\(419\) | −9.34163e8 | − | 3.40008e8i | −0.620403 | − | 0.225808i | 0.0126460 | − | 0.999920i | \(-0.495975\pi\) |
−0.633049 | + | 0.774112i | \(0.718197\pi\) | |||||||
\(420\) | 2.28806e8 | − | 1.76723e9i | 0.150694 | − | 1.16391i | ||||
\(421\) | 2.85153e8 | − | 1.61718e9i | 0.186248 | − | 1.05626i | −0.738094 | − | 0.674698i | \(-0.764274\pi\) |
0.924342 | − | 0.381566i | \(-0.124615\pi\) | |||||||
\(422\) | 2.32116e8 | + | 4.02036e8i | 0.150353 | + | 0.260418i | ||||
\(423\) | −2.44132e8 | − | 8.95730e8i | −0.156832 | − | 0.575421i | ||||
\(424\) | 1.68055e8 | − | 2.91080e8i | 0.107071 | − | 0.185452i | ||||
\(425\) | −1.24415e7 | − | 1.04397e7i | −0.00786162 | − | 0.00659668i | ||||
\(426\) | 7.43906e7 | + | 1.16219e8i | 0.0466213 | + | 0.0728357i | ||||
\(427\) | 6.17682e8 | + | 3.50305e9i | 0.383943 | + | 2.17745i | ||||
\(428\) | 1.04083e8 | − | 8.73358e7i | 0.0641690 | − | 0.0538442i | ||||
\(429\) | −2.34370e9 | + | 2.15687e9i | −1.43318 | + | 1.31893i | ||||
\(430\) | −4.97521e8 | + | 1.81083e8i | −0.301767 | + | 0.109834i | ||||
\(431\) | 3.04996e9 | 1.83495 | 0.917473 | − | 0.397799i | \(-0.130226\pi\) | ||||
0.917473 | + | 0.397799i | \(0.130226\pi\) | |||||||
\(432\) | 1.77407e9 | − | 9.38076e8i | 1.05871 | − | 0.559815i | ||||
\(433\) | −3.22545e9 | −1.90934 | −0.954669 | − | 0.297668i | \(-0.903791\pi\) | ||||
−0.954669 | + | 0.297668i | \(0.903791\pi\) | |||||||
\(434\) | −3.58938e9 | + | 1.30643e9i | −2.10768 | + | 0.767133i | ||||
\(435\) | 3.50790e8 | + | 1.56641e9i | 0.204331 | + | 0.912415i | ||||
\(436\) | 1.82264e8 | − | 1.52938e8i | 0.105317 | − | 0.0883716i | ||||
\(437\) | 6.60681e6 | + | 3.74691e7i | 0.00378710 | + | 0.0214777i | ||||
\(438\) | 1.01510e9 | − | 1.96023e9i | 0.577228 | − | 1.11467i | ||||
\(439\) | −2.57187e9 | − | 2.15805e9i | −1.45085 | − | 1.21741i | −0.931956 | − | 0.362572i | \(-0.881899\pi\) |
−0.518896 | − | 0.854837i | \(-0.673657\pi\) | |||||||
\(440\) | 3.79041e8 | − | 6.56518e8i | 0.212130 | − | 0.367420i | ||||
\(441\) | −1.18080e9 | + | 2.56085e9i | −0.655603 | + | 1.42183i | ||||
\(442\) | 1.92356e9 | + | 3.33170e9i | 1.05956 | + | 1.83522i | ||||
\(443\) | 2.87944e8 | − | 1.63301e9i | 0.157360 | − | 0.892433i | −0.799236 | − | 0.601017i | \(-0.794762\pi\) |
0.956596 | − | 0.291416i | \(-0.0941265\pi\) | |||||||
\(444\) | −1.45250e9 | − | 1.10961e9i | −0.787548 | − | 0.601628i | ||||
\(445\) | 2.03008e9 | + | 7.38887e8i | 1.09207 | + | 0.397483i | ||||
\(446\) | 2.58463e9 | + | 9.40730e8i | 1.37952 | + | 0.502103i | ||||
\(447\) | −2.46601e9 | − | 1.88385e9i | −1.30593 | − | 0.997631i | ||||
\(448\) | 2.13973e8 | − | 1.21350e9i | 0.112431 | − | 0.637627i | ||||
\(449\) | 5.98167e8 | + | 1.03606e9i | 0.311861 | + | 0.540158i | 0.978765 | − | 0.204985i | \(-0.0657145\pi\) |
−0.666905 | + | 0.745143i | \(0.732381\pi\) | |||||||
\(450\) | 2.65137e7 | − | 2.43427e6i | 0.0137160 | − | 0.00125929i | ||||
\(451\) | −5.98246e8 | + | 1.03619e9i | −0.307087 | + | 0.531891i | ||||
\(452\) | 1.54479e9 | + | 1.29623e9i | 0.786839 | + | 0.660236i | ||||
\(453\) | −1.39146e9 | + | 2.68701e9i | −0.703275 | + | 1.35808i | ||||
\(454\) | −2.20563e7 | − | 1.25088e8i | −0.0110621 | − | 0.0627364i | ||||
\(455\) | 4.07700e9 | − | 3.42101e9i | 2.02909 | − | 1.70261i | ||||
\(456\) | 1.72213e8 | + | 7.68997e8i | 0.0850530 | + | 0.379794i | ||||
\(457\) | −1.60911e9 | + | 5.85668e8i | −0.788641 | + | 0.287042i | −0.704771 | − | 0.709435i | \(-0.748950\pi\) |
−0.0838698 | + | 0.996477i | \(0.526728\pi\) | |||||||
\(458\) | −7.85317e8 | −0.381958 | ||||||||
\(459\) | 7.64663e8 | − | 1.88018e9i | 0.369084 | − | 0.907516i | ||||
\(460\) | 3.05538e7 | 0.0146357 | ||||||||
\(461\) | 1.07096e9 | − | 3.89799e8i | 0.509122 | − | 0.185305i | −0.0746704 | − | 0.997208i | \(-0.523790\pi\) |
0.583792 | + | 0.811903i | \(0.301568\pi\) | |||||||
\(462\) | 3.88915e9 | − | 3.57912e9i | 1.83488 | − | 1.68861i | ||||
\(463\) | 1.89525e9 | − | 1.59031e9i | 0.887429 | − | 0.744642i | −0.0802636 | − | 0.996774i | \(-0.525576\pi\) |
0.967693 | + | 0.252132i | \(0.0811318\pi\) | |||||||
\(464\) | 4.16249e8 | + | 2.36067e9i | 0.193437 | + | 1.09704i | ||||
\(465\) | −1.25128e9 | − | 1.95485e9i | −0.577124 | − | 0.901632i | ||||
\(466\) | −4.25791e9 | − | 3.57281e9i | −1.94915 | − | 1.63553i | ||||
\(467\) | −1.17152e9 | + | 2.02914e9i | −0.532282 | + | 0.921940i | 0.467008 | + | 0.884253i | \(0.345332\pi\) |
−0.999290 | + | 0.0376863i | \(0.988001\pi\) | |||||||
\(468\) | −2.57125e9 | − | 6.77159e8i | −1.15953 | − | 0.305373i | ||||
\(469\) | −4.90852e8 | − | 8.50180e8i | −0.219708 | − | 0.380545i | ||||
\(470\) | 3.08110e8 | − | 1.74738e9i | 0.136887 | − | 0.776326i | ||||
\(471\) | 1.13841e8 | − | 8.79276e8i | 0.0502027 | − | 0.387750i | ||||
\(472\) | 8.75330e7 | + | 3.18594e7i | 0.0383155 | + | 0.0139457i | ||||
\(473\) | −6.22134e8 | − | 2.26438e8i | −0.270315 | − | 0.0983865i | ||||
\(474\) | −1.28848e9 | + | 5.36944e8i | −0.555715 | + | 0.231582i | ||||
\(475\) | −4.63889e6 | + | 2.63084e7i | −0.00198603 | + | 0.0112633i | ||||
\(476\) | −1.34572e9 | − | 2.33085e9i | −0.571913 | − | 0.990582i | ||||
\(477\) | 1.16992e9 | + | 8.11730e8i | 0.493561 | + | 0.342450i | ||||
\(478\) | 9.55045e8 | − | 1.65419e9i | 0.399969 | − | 0.692766i | ||||
\(479\) | 3.30790e9 | + | 2.77566e9i | 1.37524 | + | 1.15396i | 0.970936 | + | 0.239338i | \(0.0769303\pi\) |
0.404303 | + | 0.914625i | \(0.367514\pi\) | |||||||
\(480\) | 2.96403e9 | − | 1.35780e8i | 1.22331 | − | 0.0560393i | ||||
\(481\) | −9.47964e8 | − | 5.37617e9i | −0.388404 | − | 2.20275i | ||||
\(482\) | −1.86988e8 | + | 1.56902e8i | −0.0760587 | + | 0.0638209i | ||||
\(483\) | −7.56164e7 | − | 2.36636e7i | −0.0305352 | − | 0.00955579i | ||||
\(484\) | −6.86489e8 | + | 2.49862e8i | −0.275217 | + | 0.100171i | ||||
\(485\) | −1.04265e9 | −0.414996 | ||||||||
\(486\) | 1.30624e9 | + | 3.06033e9i | 0.516175 | + | 1.20932i | ||||
\(487\) | −2.79409e9 | −1.09620 | −0.548099 | − | 0.836414i | \(-0.684648\pi\) | ||||
−0.548099 | + | 0.836414i | \(0.684648\pi\) | |||||||
\(488\) | −1.18706e9 | + | 4.32054e8i | −0.462384 | + | 0.168294i | ||||
\(489\) | 3.73339e9 | + | 1.16834e9i | 1.44385 | + | 0.451843i | ||||
\(490\) | −4.12854e9 | + | 3.46426e9i | −1.58530 | + | 1.33022i | ||||
\(491\) | −2.52664e7 | − | 1.43293e8i | −0.00963293 | − | 0.0546311i | 0.979612 | − | 0.200897i | \(-0.0643856\pi\) |
−0.989245 | + | 0.146266i | \(0.953275\pi\) | |||||||
\(492\) | −9.97777e8 | + | 4.57076e7i | −0.377708 | + | 0.0173026i | ||||
\(493\) | 1.85723e9 | + | 1.55840e9i | 0.698074 | + | 0.585754i | ||||
\(494\) | 3.16395e9 | − | 5.48012e9i | 1.18082 | − | 2.04525i | ||||
\(495\) | 2.63869e9 | + | 1.83082e9i | 0.977846 | + | 0.678465i | ||||
\(496\) | −1.73301e9 | − | 3.00167e9i | −0.637700 | − | 1.10453i | ||||
\(497\) | 5.00664e7 | − | 2.83941e8i | 0.0182936 | − | 0.103748i | ||||
\(498\) | −3.70362e9 | + | 1.54340e9i | −1.34377 | + | 0.559985i | ||||
\(499\) | 6.29801e8 | + | 2.29229e8i | 0.226909 | + | 0.0825881i | 0.452973 | − | 0.891524i | \(-0.350364\pi\) |
−0.226064 | + | 0.974113i | \(0.572586\pi\) | |||||||
\(500\) | −1.90430e9 | − | 6.93107e8i | −0.681302 | − | 0.247974i | ||||
\(501\) | 2.73986e8 | − | 2.11618e9i | 0.0973410 | − | 0.751832i | ||||
\(502\) | −1.97679e8 | + | 1.12110e9i | −0.0697426 | + | 0.395530i | ||||
\(503\) | 7.62736e8 | + | 1.32110e9i | 0.267231 | + | 0.462857i | 0.968146 | − | 0.250388i | \(-0.0805581\pi\) |
−0.700915 | + | 0.713245i | \(0.747225\pi\) | |||||||
\(504\) | −1.58698e9 | − | 4.17945e8i | −0.552160 | − | 0.145416i | ||||
\(505\) | 4.26706e8 | − | 7.39077e8i | 0.147438 | − | 0.255370i | ||||
\(506\) | 6.94218e7 | + | 5.82518e7i | 0.0238215 | + | 0.0199886i | ||||
\(507\) | −2.69920e9 | − | 4.21692e9i | −0.919830 | − | 1.43703i | ||||
\(508\) | 4.09507e8 | + | 2.32243e9i | 0.138592 | + | 0.785995i | ||||
\(509\) | −1.09385e9 | + | 9.17852e8i | −0.367660 | + | 0.308504i | −0.807835 | − | 0.589408i | \(-0.799361\pi\) |
0.440175 | + | 0.897912i | \(0.354916\pi\) | |||||||
\(510\) | 2.85437e9 | − | 2.62683e9i | 0.952829 | − | 0.876873i | ||||
\(511\) | −4.33424e9 | + | 1.57754e9i | −1.43695 | + | 0.523005i | ||||
\(512\) | 3.13435e9 | 1.03205 | ||||||||
\(513\) | −3.30714e9 | + | 4.57054e8i | −1.08154 | + | 0.149471i | ||||
\(514\) | 6.89027e9 | 2.23803 | ||||||||
\(515\) | 1.80917e9 | − | 6.58485e8i | 0.583653 | − | 0.212432i | ||||
\(516\) | −1.20779e8 | − | 5.39326e8i | −0.0387007 | − | 0.172813i | ||||
\(517\) | 1.69966e9 | − | 1.42618e9i | 0.540935 | − | 0.453898i | ||||
\(518\) | 1.57306e9 | + | 8.92126e9i | 0.497268 | + | 2.82015i | ||||
\(519\) | 1.09016e9 | − | 2.10518e9i | 0.342298 | − | 0.661004i | ||||
\(520\) | 1.44788e9 | + | 1.21492e9i | 0.451566 | + | 0.378909i | ||||
\(521\) | −1.78017e9 | + | 3.08334e9i | −0.551478 | + | 0.955188i | 0.446690 | + | 0.894689i | \(0.352603\pi\) |
−0.998168 | + | 0.0604993i | \(0.980731\pi\) | |||||||
\(522\) | −3.95789e9 | + | 3.63380e8i | −1.21791 | + | 0.111819i | ||||
\(523\) | 2.56113e9 | + | 4.43601e9i | 0.782845 | + | 1.35593i | 0.930278 | + | 0.366856i | \(0.119566\pi\) |
−0.147432 | + | 0.989072i | \(0.547101\pi\) | |||||||
\(524\) | −3.79190e8 | + | 2.15050e9i | −0.115132 | + | 0.652949i | ||||
\(525\) | −4.42085e7 | − | 3.37720e7i | −0.0133336 | − | 0.0101859i | ||||
\(526\) | −1.53919e9 | − | 5.60218e8i | −0.461149 | − | 0.167844i | ||||
\(527\) | −3.29418e9 | − | 1.19898e9i | −0.980415 | − | 0.356842i | ||||
\(528\) | 3.81117e9 | + | 2.91145e9i | 1.12678 | + | 0.860777i | ||||
\(529\) | −5.91006e8 | + | 3.35176e9i | −0.173579 | + | 0.984415i | ||||
\(530\) | 1.36069e9 | + | 2.35679e9i | 0.397004 | + | 0.687632i | ||||
\(531\) | −1.65245e8 | + | 3.58373e8i | −0.0478958 | + | 0.103873i | ||||
\(532\) | −2.21349e9 | + | 3.83388e9i | −0.637364 | + | 1.10395i | ||||
\(533\) | −2.28521e9 | − | 1.91752e9i | −0.653704 | − | 0.548523i | ||||
\(534\) | −2.45977e9 | + | 4.75001e9i | −0.699037 | + | 1.34990i | ||||
\(535\) | −7.10524e7 | − | 4.02958e8i | −0.0200604 | − | 0.113768i | ||||
\(536\) | 2.67071e8 | − | 2.24099e8i | 0.0749117 | − | 0.0628584i | ||||
\(537\) | −7.22689e8 | − | 3.22708e9i | −0.201392 | − | 0.899289i | ||||
\(538\) | 6.56056e9 | − | 2.38785e9i | 1.81637 | − | 0.661103i | ||||
\(539\) | −6.73930e9 | −1.85376 | ||||||||
\(540\) | −9.97138e7 | + | 2.67920e9i | −0.0272507 | + | 0.732195i | ||||
\(541\) | −6.07172e9 | −1.64862 | −0.824312 | − | 0.566136i | \(-0.808438\pi\) | ||||
−0.824312 | + | 0.566136i | \(0.808438\pi\) | |||||||
\(542\) | 2.92847e9 | − | 1.06588e9i | 0.790029 | − | 0.287547i | ||||
\(543\) | −1.35944e9 | + | 1.25107e9i | −0.364385 | + | 0.335338i | ||||
\(544\) | 3.43299e9 | − | 2.88062e9i | 0.914274 | − | 0.767167i | ||||
\(545\) | −1.24423e8 | − | 7.05640e8i | −0.0329241 | − | 0.186722i | ||||
\(546\) | 7.10423e9 | + | 1.10988e10i | 1.86785 | + | 2.91812i | ||||
\(547\) | 4.45844e9 | + | 3.74108e9i | 1.16474 | + | 0.977330i | 0.999959 | − | 0.00900117i | \(-0.00286520\pi\) |
0.164777 | + | 0.986331i | \(0.447310\pi\) | |||||||
\(548\) | 5.83382e8 | − | 1.01045e9i | 0.151433 | − | 0.262290i | ||||
\(549\) | −1.40729e9 | − | 5.16342e9i | −0.362979 | − | 1.33179i | ||||
\(550\) | 3.18152e7 | + | 5.51055e7i | 0.00815389 | + | 0.0141230i | ||||
\(551\) | 6.92479e8 | − | 3.92724e9i | 0.176350 | − | 1.00013i | ||||
\(552\) | 3.61295e6 | − | 2.79053e7i | 0.000914271 | − | 0.00706155i | ||||
\(553\) | 2.74073e9 | + | 9.97545e8i | 0.689173 | + | 0.250839i | ||||
\(554\) | −4.78823e9 | − | 1.74277e9i | −1.19644 | − | 0.435468i | ||||
\(555\) | −5.08101e9 | + | 2.11740e9i | −1.26161 | + | 0.525747i | ||||
\(556\) | −7.77760e7 | + | 4.41090e8i | −0.0191904 | + | 0.108834i | ||||
\(557\) | −2.93533e9 | − | 5.08415e9i | −0.719721 | − | 1.24659i | −0.961110 | − | 0.276165i | \(-0.910936\pi\) |
0.241389 | − | 0.970428i | \(-0.422397\pi\) | |||||||
\(558\) | 5.19802e9 | − | 2.45107e9i | 1.26654 | − | 0.597222i | ||||
\(559\) | 8.25336e8 | − | 1.42952e9i | 0.199843 | − | 0.346139i | ||||
\(560\) | −6.13893e9 | − | 5.15117e9i | −1.47718 | − | 1.23950i | ||||
\(561\) | 4.84565e9 | − | 2.21977e8i | 1.15873 | − | 0.0530808i | ||||
\(562\) | −8.55509e8 | − | 4.85184e9i | −0.203305 | − | 1.15300i | ||||
\(563\) | 2.65677e8 | − | 2.22929e8i | 0.0627442 | − | 0.0526487i | −0.610876 | − | 0.791726i | \(-0.709183\pi\) |
0.673620 | + | 0.739077i | \(0.264738\pi\) | |||||||
\(564\) | 1.76766e9 | + | 5.53177e8i | 0.414879 | + | 0.129834i | ||||
\(565\) | 5.70671e9 | − | 2.07707e9i | 1.33112 | − | 0.484487i | ||||
\(566\) | −6.10143e9 | −1.41441 | ||||||||
\(567\) | 2.32179e9 | − | 6.55341e9i | 0.534912 | − | 1.50983i | ||||
\(568\) | 1.02393e8 | 0.0234449 | ||||||||
\(569\) | −1.80928e9 | + | 6.58523e8i | −0.411730 | + | 0.149857i | −0.539576 | − | 0.841937i | \(-0.681416\pi\) |
0.127847 | + | 0.991794i | \(0.459193\pi\) | |||||||
\(570\) | −6.08935e9 | − | 1.90562e9i | −1.37724 | − | 0.430997i | ||||
\(571\) | 1.63198e9 | − | 1.36939e9i | 0.366850 | − | 0.307823i | −0.440664 | − | 0.897672i | \(-0.645257\pi\) |
0.807514 | + | 0.589849i | \(0.200813\pi\) | |||||||
\(572\) | −1.10343e9 | − | 6.25789e9i | −0.246525 | − | 1.39811i | ||||
\(573\) | 3.22323e9 | − | 1.47654e8i | 0.715730 | − | 0.0327872i | ||||
\(574\) | 3.79210e9 | + | 3.18195e9i | 0.836928 | + | 0.702266i | ||||
\(575\) | 476935. | − | 826076.i | 0.000104622 | − | 0.000181210i | ||||
\(576\) | −1.53658e8 | + | 1.84754e9i | −0.0335025 | + | 0.402824i | ||||
\(577\) | −1.90566e9 | − | 3.30070e9i | −0.412980 | − | 0.715303i | 0.582234 | − | 0.813022i | \(-0.302179\pi\) |
−0.995214 | + | 0.0977184i | \(0.968846\pi\) | |||||||
\(578\) | −4.26030e7 | + | 2.41614e8i | −0.00917683 | + | 0.0520444i | ||||
\(579\) | 6.89993e9 | − | 2.87539e9i | 1.47730 | − | 0.615633i | ||||
\(580\) | −3.00931e9 | − | 1.09530e9i | −0.640425 | − | 0.233096i | ||||
\(581\) | 7.87801e9 | + | 2.86736e9i | 1.66648 | + | 0.606549i | ||||
\(582\) | 3.31483e8 | − | 2.56027e9i | 0.0696997 | − | 0.538339i | ||||
\(583\) | −5.90926e8 | + | 3.35131e9i | −0.123508 | + | 0.700446i | ||||
\(584\) | −8.19011e8 | − | 1.41857e9i | −0.170155 | − | 0.294717i | ||||
\(585\) | −5.63772e9 | + | 5.68629e9i | −1.16428 | + | 1.17431i | ||||
\(586\) | 3.19520e9 | − | 5.53426e9i | 0.655929 | − | 1.13610i | ||||
\(587\) | 5.21898e9 | + | 4.37924e9i | 1.06501 | + | 0.893646i | 0.994591 | − | 0.103872i | \(-0.0331232\pi\) |
0.0704150 | + | 0.997518i | \(0.477568\pi\) | |||||||
\(588\) | −3.03297e9 | − | 4.73837e9i | −0.615245 | − | 0.961187i | ||||
\(589\) | 1.00128e9 | + | 5.67854e9i | 0.201907 | + | 1.14507i | ||||
\(590\) | −5.77761e8 | + | 4.84799e8i | −0.115815 | + | 0.0971806i | ||||
\(591\) | −7.31783e9 | + | 6.73448e9i | −1.45823 | + | 1.34199i | ||||
\(592\) | −7.72431e9 | + | 2.81142e9i | −1.53015 | + | 0.556928i | ||||
\(593\) | 2.62252e9 | 0.516450 | 0.258225 | − | 0.966085i | \(-0.416862\pi\) | ||||
0.258225 | + | 0.966085i | \(0.416862\pi\) | |||||||
\(594\) | −5.33454e9 | + | 5.89734e9i | −1.04435 | + | 1.15453i | ||||
\(595\) | −8.10527e9 | −1.57746 | ||||||||
\(596\) | 5.81769e9 | − | 2.11747e9i | 1.12561 | − | 0.409689i | ||||
\(597\) | −1.97557e9 | − | 8.82167e9i | −0.379999 | − | 1.69684i | ||||
\(598\) | −1.73085e8 | + | 1.45235e8i | −0.0330982 | + | 0.0277727i | ||||
\(599\) | −7.73130e8 | − | 4.38464e9i | −0.146980 | − | 0.833566i | −0.965756 | − | 0.259452i | \(-0.916458\pi\) |
0.818776 | − | 0.574113i | \(-0.194653\pi\) | |||||||
\(600\) | 9.08512e6 | − | 1.75441e7i | 0.00171712 | − | 0.00331590i | ||||
\(601\) | 1.73505e9 | + | 1.45588e9i | 0.326025 | + | 0.273567i | 0.791078 | − | 0.611716i | \(-0.209520\pi\) |
−0.465053 | + | 0.885283i | \(0.653965\pi\) | |||||||
\(602\) | −1.36957e9 | + | 2.37216e9i | −0.255856 | + | 0.443156i | ||||
\(603\) | 8.52358e8 | + | 1.20625e9i | 0.158311 | + | 0.224041i | ||||
\(604\) | −3.01840e9 | − | 5.22802e9i | −0.557375 | − | 0.965402i | ||||
\(605\) | −3.82034e8 | + | 2.16662e9i | −0.0701387 | + | 0.397776i | ||||
\(606\) | 1.67917e9 | + | 1.28276e9i | 0.306507 | + | 0.234148i | ||||
\(607\) | 2.96993e9 | + | 1.08097e9i | 0.538996 | + | 0.196179i | 0.597151 | − | 0.802129i | \(-0.296299\pi\) |
−0.0581547 | + | 0.998308i | \(0.518522\pi\) | |||||||
\(608\) | −6.92674e9 | − | 2.52113e9i | −1.24987 | − | 0.454917i | ||||
\(609\) | 6.59931e9 | + | 5.04139e9i | 1.18396 | + | 0.904460i | ||||
\(610\) | 1.77609e9 | − | 1.00727e10i | 0.316819 | − | 1.79677i | ||||
\(611\) | 2.76593e9 | + | 4.79073e9i | 0.490565 | + | 0.849683i | ||||
\(612\) | 2.33682e9 | + | 3.30705e9i | 0.412093 | + | 0.583191i | ||||
\(613\) | −1.00478e9 | + | 1.74033e9i | −0.176181 | + | 0.305155i | −0.940570 | − | 0.339601i | \(-0.889708\pi\) |
0.764388 | + | 0.644756i | \(0.223041\pi\) | |||||||
\(614\) | 2.68951e9 | + | 2.25677e9i | 0.468904 | + | 0.393457i | ||||
\(615\) | −1.38320e9 | + | 2.67107e9i | −0.239785 | + | 0.463044i | ||||
\(616\) | −6.81043e8 | − | 3.86239e9i | −0.117393 | − | 0.665769i | ||||
\(617\) | −8.20634e9 | + | 6.88594e9i | −1.40654 | + | 1.18023i | −0.448430 | + | 0.893818i | \(0.648017\pi\) |
−0.958108 | + | 0.286408i | \(0.907539\pi\) | |||||||
\(618\) | 1.04176e9 | + | 4.65183e9i | 0.177544 | + | 0.792801i | ||||
\(619\) | 7.40586e9 | − | 2.69551e9i | 1.25504 | − | 0.456798i | 0.372939 | − | 0.927856i | \(-0.378350\pi\) |
0.882102 | + | 0.471058i | \(0.156128\pi\) | |||||||
\(620\) | 4.63052e9 | 0.780295 | ||||||||
\(621\) | 1.16546e8 | + | 2.50522e7i | 0.0195289 | + | 0.00419784i | ||||
\(622\) | 3.34128e9 | 0.556732 | ||||||||
\(623\) | 1.05027e10 | − | 3.82267e9i | 1.74017 | − | 0.633372i | ||||
\(624\) | −8.79867e9 | + | 8.09727e9i | −1.44968 | + | 1.33411i | ||||
\(625\) | −4.72403e9 | + | 3.96393e9i | −0.773985 | + | 0.649450i | ||||
\(626\) | −7.52270e8 | − | 4.26633e9i | −0.122564 | − | 0.695096i | ||||
\(627\) | −4.30137e9 | − | 6.71995e9i | −0.696900 | − | 1.08875i | ||||
\(628\) | 1.35500e9 | + | 1.13698e9i | 0.218313 | + | 0.183187i | ||||
\(629\) | −4.15693e9 | + | 7.20001e9i | −0.666032 | + | 1.15360i | ||||
\(630\) | 9.35528e9 | − | 9.43586e9i | 1.49061 | − | 1.50345i | ||||
\(631\) | 1.33633e9 | + | 2.31459e9i | 0.211744 | + | 0.366752i | 0.952260 | − | 0.305287i | \(-0.0987523\pi\) |
−0.740516 | + | 0.672038i | \(0.765419\pi\) | |||||||
\(632\) | −1.79864e8 | + | 1.02006e9i | −0.0283422 | + | 0.160737i | ||||
\(633\) | −1.87385e8 | + | 1.44731e9i | −0.0293645 | + | 0.226802i | ||||
\(634\) | −3.31690e9 | − | 1.20725e9i | −0.516916 | − | 0.188142i | ||||
\(635\) | 6.67361e9 | + | 2.42900e9i | 1.03432 | + | 0.376460i | ||||
\(636\) | −2.62223e9 | + | 1.09276e9i | −0.404176 | + | 0.168432i | ||||
\(637\) | 2.91775e9 | − | 1.65474e10i | 0.447260 | − | 2.53654i | ||||
\(638\) | −4.74927e9 | − | 8.22598e9i | −0.724027 | − | 1.25405i | ||||
\(639\) | −3.59537e7 | + | 4.32296e8i | −0.00545118 | + | 0.0655433i | ||||
\(640\) | 2.28905e9 | − | 3.96475e9i | 0.345164 | − | 0.597842i | ||||
\(641\) | −3.13227e9 | − | 2.62829e9i | −0.469739 | − | 0.394158i | 0.376960 | − | 0.926229i | \(-0.376969\pi\) |
−0.846699 | + | 0.532072i | \(0.821414\pi\) | |||||||
\(642\) | 1.01207e9 | − | 4.63622e7i | 0.150951 | − | 0.00691498i | ||||
\(643\) | 1.66790e9 | + | 9.45913e9i | 0.247418 | + | 1.40318i | 0.814809 | + | 0.579729i | \(0.196842\pi\) |
−0.567391 | + | 0.823448i | \(0.692047\pi\) | |||||||
\(644\) | 1.21090e8 | − | 1.01606e8i | 0.0178652 | − | 0.0149907i | ||||
\(645\) | −1.58845e9 | − | 4.97093e8i | −0.233085 | − | 0.0729422i | ||||
\(646\) | −9.05579e9 | + | 3.29604e9i | −1.32164 | + | 0.481037i | ||||
\(647\) | 6.66441e9 | 0.967378 | 0.483689 | − | 0.875240i | \(-0.339296\pi\) | ||||
0.483689 | + | 0.875240i | \(0.339296\pi\) | |||||||
\(648\) | 2.43516e9 | + | 4.07882e8i | 0.351573 | + | 0.0588873i | ||||
\(649\) | −9.43120e8 | −0.135429 | ||||||||
\(650\) | −1.49078e8 | + | 5.42599e7i | −0.0212920 | + | 0.00774966i | ||||
\(651\) | −1.14599e10 | − | 3.58629e9i | −1.62797 | − | 0.509462i | ||||
\(652\) | −5.97854e9 | + | 5.01659e9i | −0.844751 | + | 0.708830i | ||||
\(653\) | −2.02195e8 | − | 1.14670e9i | −0.0284167 | − | 0.161159i | 0.967297 | − | 0.253646i | \(-0.0816297\pi\) |
−0.995714 | + | 0.0924862i | \(0.970519\pi\) | |||||||
\(654\) | 1.77228e9 | − | 8.11871e7i | 0.247748 | − | 0.0113492i | ||||
\(655\) | 5.03761e9 | + | 4.22706e9i | 0.700455 | + | 0.587751i | ||||
\(656\) | −2.24592e9 | + | 3.89005e9i | −0.310621 | + | 0.538012i | ||||
\(657\) | 6.27672e9 | − | 2.95972e9i | 0.863483 | − | 0.407166i | ||||
\(658\) | −4.58980e9 | − | 7.94976e9i | −0.628063 | − | 1.08784i | ||||
\(659\) | 1.23203e9 | − | 6.98717e9i | 0.167695 | − | 0.951047i | −0.778546 | − | 0.627587i | \(-0.784043\pi\) |
0.946242 | − | 0.323460i | \(-0.104846\pi\) | |||||||
\(660\) | −5.91432e9 | + | 2.46466e9i | −0.800757 | + | 0.333698i | ||||
\(661\) | −1.01580e9 | − | 3.69720e8i | −0.136805 | − | 0.0497930i | 0.272710 | − | 0.962096i | \(-0.412080\pi\) |
−0.409515 | + | 0.912303i | \(0.634302\pi\) | |||||||
\(662\) | 3.75124e9 | + | 1.36534e9i | 0.502541 | + | 0.182910i | ||||
\(663\) | −1.55287e9 | + | 1.19939e10i | −0.206937 | + | 1.59832i | ||||
\(664\) | −5.17003e8 | + | 2.93207e9i | −0.0685338 | + | 0.388675i | ||||
\(665\) | 6.66595e9 | + | 1.15458e10i | 0.878995 | + | 1.52246i | ||||
\(666\) | −3.58398e9 | − | 1.31497e10i | −0.470116 | − | 1.72488i | ||||
\(667\) | −7.11954e7 | + | 1.23314e8i | −0.00928991 | + | 0.0160906i | ||||
\(668\) | 3.26112e9 | + | 2.73640e9i | 0.423300 | + | 0.355191i | ||||
\(669\) | 4.66147e9 | + | 7.28254e9i | 0.601910 | + | 0.940355i | ||||
\(670\) | 4.90175e8 | + | 2.77992e9i | 0.0629636 | + | 0.357084i | ||||
\(671\) | 9.79764e9 | − | 8.22120e9i | 1.25197 | − | 1.05052i | ||||
\(672\) | 1.12954e10 | − | 1.03950e10i | 1.43585 | − | 1.32139i | ||||
\(673\) | −1.44400e10 | + | 5.25574e9i | −1.82606 | + | 0.664631i | −0.832135 | + | 0.554573i | \(0.812881\pi\) |
−0.993925 | + | 0.110058i | \(0.964896\pi\) | |||||||
\(674\) | 6.42711e8 | 0.0808548 | ||||||||
\(675\) | 7.08803e7 | + | 4.45173e7i | 0.00887079 | + | 0.00557142i | ||||
\(676\) | 9.98873e9 | 1.24365 | ||||||||
\(677\) | −7.79088e9 | + | 2.83565e9i | −0.964998 | + | 0.351230i | −0.775990 | − | 0.630745i | \(-0.782749\pi\) |
−0.189008 | + | 0.981976i | \(0.560527\pi\) | |||||||
\(678\) | 3.28603e9 | + | 1.46734e10i | 0.404919 | + | 1.80811i | ||||
\(679\) | −4.13221e9 | + | 3.46734e9i | −0.506569 | + | 0.425062i | ||||
\(680\) | −4.99839e8 | − | 2.83473e9i | −0.0609606 | − | 0.345724i | ||||
\(681\) | 1.83616e8 | − | 3.54577e8i | 0.0222790 | − | 0.0430225i | ||||
\(682\) | 1.05211e10 | + | 8.82824e9i | 1.27003 | + | 1.06568i | ||||
\(683\) | −7.72507e8 | + | 1.33802e9i | −0.0927748 | + | 0.160691i | −0.908678 | − | 0.417498i | \(-0.862907\pi\) |
0.815903 | + | 0.578189i | \(0.196240\pi\) | |||||||
\(684\) | 2.78896e9 | − | 6.04853e9i | 0.333232 | − | 0.722693i | ||||
\(685\) | −1.75686e9 | − | 3.04297e9i | −0.208843 | − | 0.361726i | ||||
\(686\) | −1.74936e9 | + | 9.92113e9i | −0.206893 | + | 1.17335i | ||||
\(687\) | −1.96182e9 | − | 1.49869e9i | −0.230840 | − | 0.176345i | ||||
\(688\) | −2.33560e9 | − | 8.50089e8i | −0.273426 | − | 0.0995188i | ||||
\(689\) | −7.97282e9 | − | 2.90187e9i | −0.928634 | − | 0.337995i | ||||
\(690\) | 1.81044e8 | + | 1.38304e8i | 0.0209803 | + | 0.0160274i | ||||
\(691\) | −1.26315e9 | + | 7.16370e9i | −0.145641 | + | 0.825970i | 0.821210 | + | 0.570627i | \(0.193300\pi\) |
−0.966850 | + | 0.255343i | \(0.917811\pi\) | |||||||
\(692\) | 2.36482e9 | + | 4.09598e9i | 0.271285 | + | 0.469880i | ||||
\(693\) | 1.65460e10 | − | 1.51911e9i | 1.88854 | − | 0.173390i | ||||
\(694\) | −5.60651e9 | + | 9.71075e9i | −0.636699 | + | 1.10279i | ||||
\(695\) | 1.03327e9 | + | 8.67015e8i | 0.116753 | + | 0.0979670i | ||||
\(696\) | −1.35620e9 | + | 2.61893e9i | −0.152472 | + | 0.294436i | ||||
\(697\) | 7.88903e8 | + | 4.47409e9i | 0.0882488 | + | 0.500484i | ||||
\(698\) | −1.32735e10 | + | 1.11378e10i | −1.47738 | + | 1.23967i | ||||
\(699\) | −3.81851e9 | − | 1.70511e10i | −0.422886 | − | 1.88835i | ||||
\(700\) | 1.04295e8 | − | 3.79602e7i | 0.0114926 | − | 0.00418297i | ||||
\(701\) | 5.92973e9 | 0.650162 | 0.325081 | − | 0.945686i | \(-0.394608\pi\) | ||||
0.325081 | + | 0.945686i | \(0.394608\pi\) | |||||||
\(702\) | −1.21705e10 | − | 1.56514e10i | −1.32779 | − | 1.70755i | ||||
\(703\) | 1.36750e10 | 1.48451 | ||||||||
\(704\) | −4.16340e9 | + | 1.51535e9i | −0.449721 | + | 0.163685i | ||||
\(705\) | 4.10437e9 | − | 3.77718e9i | 0.441148 | − | 0.405981i | ||||
\(706\) | −1.20190e10 | + | 1.00851e10i | −1.28544 | + | 1.07861i | ||||
\(707\) | −7.66686e8 | − | 4.34809e9i | −0.0815924 | − | 0.462733i | ||||
\(708\) | −4.24444e8 | − | 6.63102e8i | −0.0449474 | − | 0.0702205i | ||||
\(709\) | −8.26288e9 | − | 6.93338e9i | −0.870702 | − | 0.730606i | 0.0935436 | − | 0.995615i | \(-0.470181\pi\) |
−0.964246 | + | 0.265009i | \(0.914625\pi\) | |||||||
\(710\) | −4.14521e8 | + | 7.17972e8i | −0.0434653 | + | 0.0752841i | ||||
\(711\) | −4.24348e9 | − | 1.11755e9i | −0.442770 | − | 0.116607i | ||||
\(712\) | 1.98462e9 | + | 3.43746e9i | 0.206062 | + | 0.356909i | ||||
\(713\) | 3.57521e7 | − | 2.02760e8i | 0.00369392 | − | 0.0209493i | ||||
\(714\) | 2.57685e9 | − | 1.99028e10i | 0.264938 | − | 2.04630i | ||||
\(715\) | −1.79823e10 | − | 6.54503e9i | −1.83982 | − | 0.669639i | ||||
\(716\) | 6.19970e9 | + | 2.25651e9i | 0.631212 | + | 0.229742i | ||||
\(717\) | 5.54265e9 | − | 2.30978e9i | 0.561566 | − | 0.234020i | ||||
\(718\) | 7.15636e8 | − | 4.05857e9i | 0.0721533 | − | 0.409202i | ||||
\(719\) | −2.49223e9 | − | 4.31667e9i | −0.250056 | − | 0.433109i | 0.713485 | − | 0.700670i | \(-0.247116\pi\) |
−0.963541 | + | 0.267561i | \(0.913782\pi\) | |||||||
\(720\) | 9.90613e9 | + | 6.87322e9i | 0.989100 | + | 0.686273i | ||||
\(721\) | 4.98027e9 | − | 8.62607e9i | 0.494856 | − | 0.857116i | ||||
\(722\) | 1.95645e9 | + | 1.64166e9i | 0.193459 | + | 0.162332i | ||||
\(723\) | −7.66549e8 | + | 3.51152e7i | −0.0754320 | + | 0.00345550i | ||||
\(724\) | −6.40036e8 | − | 3.62982e9i | −0.0626786 | − | 0.355468i | ||||
\(725\) | −7.65876e7 | + | 6.42646e7i | −0.00746406 | + | 0.00626309i | ||||
\(726\) | −5.19875e9 | − | 1.62691e9i | −0.504221 | − | 0.157792i | ||||
\(727\) | −1.26797e10 | + | 4.61504e9i | −1.22388 | + | 0.445456i | −0.871498 | − | 0.490399i | \(-0.836851\pi\) |
−0.352383 | + | 0.935856i | \(0.614629\pi\) | |||||||
\(728\) | 9.77839e9 | 0.939307 | ||||||||
\(729\) | −2.57713e9 | + | 1.01379e10i | −0.246371 | + | 0.969176i | ||||
\(730\) | 1.32626e10 | 1.26182 | ||||||||
\(731\) | −2.36226e9 | + | 8.59792e8i | −0.223675 | + | 0.0814109i | ||||
\(732\) | 1.01896e10 | + | 3.18878e9i | 0.960218 | + | 0.300494i | ||||
\(733\) | 1.45312e10 | − | 1.21931e10i | 1.36281 | − | 1.14354i | 0.387712 | − | 0.921781i | \(-0.373266\pi\) |
0.975102 | − | 0.221756i | \(-0.0711788\pi\) | |||||||
\(734\) | −1.33138e9 | − | 7.55063e9i | −0.124270 | − | 0.704769i | ||||
\(735\) | −1.69248e10 | + | 7.75314e8i | −1.57223 | + | 0.0720231i | ||||
\(736\) | 2.01624e8 | + | 1.69183e8i | 0.0186410 | + | 0.0156417i | ||||
\(737\) | −1.76491e9 | + | 3.05692e9i | −0.162401 | + | 0.281286i | ||||
\(738\) | −6.11914e9 | − | 4.24568e9i | −0.560394 | − | 0.388821i | ||||
\(739\) | −1.46342e9 | − | 2.53471e9i | −0.133387 | − | 0.231033i | 0.791593 | − | 0.611048i | \(-0.209252\pi\) |
−0.924980 | + | 0.380016i | \(0.875919\pi\) | |||||||
\(740\) | 1.90696e9 | − | 1.08149e10i | 0.172994 | − | 0.981096i | ||||
\(741\) | 1.83621e10 | − | 7.65201e9i | 1.65790 | − | 0.690895i | ||||
\(742\) | 1.32302e10 | + | 4.81538e9i | 1.18892 | + | 0.432730i | ||||
\(743\) | −1.63542e10 | − | 5.95245e9i | −1.46275 | − | 0.532396i | −0.516626 | − | 0.856211i | \(-0.672812\pi\) |
−0.946121 | + | 0.323815i | \(0.895035\pi\) | |||||||
\(744\) | 5.47553e8 | − | 4.22913e9i | 0.0487439 | − | 0.376483i | ||||
\(745\) | 3.23757e9 | − | 1.83612e10i | 0.286861 | − | 1.62687i | ||||
\(746\) | 6.56256e9 | + | 1.13667e10i | 0.578745 | + | 1.00242i | ||||
\(747\) | −1.21975e10 | − | 3.21232e9i | −1.07066 | − | 0.281966i | ||||
\(748\) | −4.83868e9 | + | 8.38085e9i | −0.422738 | + | 0.732204i | ||||
\(749\) | −1.62163e9 | − | 1.36071e9i | −0.141015 | − | 0.118325i | ||||
\(750\) | −8.14635e9 | − | 1.27269e10i | −0.705096 | − | 1.10156i | ||||
\(751\) | 2.03661e8 | + | 1.15502e9i | 0.0175456 | + | 0.0995060i | 0.992323 | − | 0.123673i | \(-0.0394675\pi\) |
−0.974777 | + | 0.223179i | \(0.928356\pi\) | |||||||
\(752\) | 6.38082e9 | − | 5.35414e9i | 0.547160 | − | 0.459122i | ||||
\(753\) | −2.63331e9 | + | 2.42339e9i | −0.224760 | + | 0.206843i | ||||
\(754\) | 2.22539e10 | − | 8.09975e9i | 1.89063 | − | 0.688133i | ||||
\(755\) | −1.81799e10 | −1.53736 | ||||||||
\(756\) | 8.51447e9 | + | 1.09497e10i | 0.716690 | + | 0.921671i | ||||
\(757\) | −1.38759e10 | −1.16259 | −0.581294 | − | 0.813694i | \(-0.697453\pi\) | ||||
−0.581294 | + | 0.813694i | \(0.697453\pi\) | |||||||
\(758\) | −1.08538e10 | + | 3.95046e9i | −0.905190 | + | 0.329462i | ||||
\(759\) | 6.22577e7 | + | 2.78004e8i | 0.00516829 | + | 0.0230784i | ||||
\(760\) | −3.62692e9 | + | 3.04335e9i | −0.299703 | + | 0.251480i | ||||
\(761\) | −2.36754e9 | − | 1.34270e10i | −0.194738 | − | 1.10441i | −0.912792 | − | 0.408426i | \(-0.866078\pi\) |
0.718054 | − | 0.695988i | \(-0.245033\pi\) | |||||||
\(762\) | −8.08617e9 | + | 1.56150e10i | −0.662065 | + | 1.27850i | ||||
\(763\) | −2.83971e9 | − | 2.38280e9i | −0.231440 | − | 0.194201i | ||||
\(764\) | −3.21859e9 | + | 5.57476e9i | −0.261119 | + | 0.452272i | ||||
\(765\) | 1.21436e10 | − | 1.11492e9i | 0.980691 | − | 0.0900388i | ||||
\(766\) | −3.70665e8 | − | 6.42010e8i | −0.0297975 | − | 0.0516109i | ||||
\(767\) | 4.08319e8 | − | 2.31569e9i | 0.0326751 | − | 0.185309i | ||||
\(768\) | 1.30402e10 | + | 9.96173e9i | 1.03877 | + | 0.793543i | ||||
\(769\) | 5.61915e9 | + | 2.04520e9i | 0.445583 | + | 0.162179i | 0.555060 | − | 0.831810i | \(-0.312695\pi\) |
−0.109477 | + | 0.993989i | \(0.534918\pi\) | |||||||
\(770\) | 2.98400e10 | + | 1.08609e10i | 2.35549 | + | 0.857328i | ||||
\(771\) | 1.72128e10 | + | 1.31493e10i | 1.35257 | + | 1.03327i | ||||
\(772\) | −2.58962e9 | + | 1.46865e10i | −0.202570 | + | 1.14883i | ||||
\(773\) | 2.63703e9 | + | 4.56747e9i | 0.205346 | + | 0.355670i | 0.950243 | − | 0.311510i | \(-0.100835\pi\) |
−0.744897 | + | 0.667180i | \(0.767501\pi\) | |||||||
\(774\) | 1.72563e9 | − | 3.74245e9i | 0.133769 | − | 0.290110i | ||||
\(775\) | 7.22809e7 | − | 1.25194e8i | 0.00557786 | − | 0.00966114i | ||||
\(776\) | −1.46749e9 | − | 1.23137e9i | −0.112735 | − | 0.0945960i | ||||
\(777\) | −1.30955e10 | + | 2.52884e10i | −1.00149 | + | 1.93396i | ||||
\(778\) | −1.39530e9 | − | 7.91316e9i | −0.106228 | − | 0.602450i | ||||
\(779\) | 5.72443e9 | − | 4.80336e9i | 0.433861 | − | 0.364053i | ||||
\(780\) | −3.49104e9 | − | 1.55888e10i | −0.263405 | − | 1.17620i | ||||
\(781\) | −9.74171e8 | + | 3.54569e8i | −0.0731739 | + | 0.0266331i | ||||
\(782\) | 3.44101e8 | 0.0257313 | ||||||||
\(783\) | −1.05808e10 | − | 6.64541e9i | −0.787684 | − | 0.494715i | ||||
\(784\) | −2.53005e10 | −1.87510 | ||||||||
\(785\) | 5.00558e9 | − | 1.82188e9i | 0.369327 | − | 0.134424i | ||||
\(786\) | −1.19812e10 | + | 1.10261e10i | −0.880082 | + | 0.809925i | ||||
\(787\) | −1.41549e9 | + | 1.18774e9i | −0.103513 | + | 0.0868580i | −0.693075 | − | 0.720865i | \(-0.743745\pi\) |
0.589562 | + | 0.807723i | \(0.299300\pi\) | |||||||
\(788\) | −3.44530e9 | − | 1.95392e10i | −0.250833 | − | 1.42255i | ||||
\(789\) | −2.77597e9 | − | 4.33686e9i | −0.201208 | − | 0.314344i | ||||
\(790\) | −6.42444e9 | − | 5.39075e9i | −0.463597 | − | 0.389004i | ||||
\(791\) | 1.57094e10 | − | 2.72094e10i | 1.12860 | − | 1.95479i | ||||
\(792\) | 1.55165e9 | + | 5.69308e9i | 0.110983 | + | 0.407201i | ||||
\(793\) | 1.59441e10 | + | 2.76160e10i | 1.13539 | + | 1.96655i | ||||
\(794\) | 7.60401e8 | − | 4.31245e9i | 0.0539102 | − | 0.305740i | ||||
\(795\) | −1.09848e9 | + | 8.48430e9i | −0.0775365 | + | 0.598868i | ||||
\(796\) | 1.69478e10 | + | 6.16848e9i | 1.19101 | + | 0.433493i | ||||
\(797\) | 2.19899e10 | + | 8.00368e9i | 1.53858 | + | 0.559997i | 0.965704 | − | 0.259646i | \(-0.0836059\pi\) |
0.572875 | + | 0.819643i | \(0.305828\pi\) | |||||||
\(798\) | −3.04703e10 | + | 1.26978e10i | −2.12259 | + | 0.884542i | ||||
\(799\) | 1.46292e9 | − | 8.29665e9i | 0.101463 | − | 0.575426i | ||||
\(800\) | 9.24019e7 | + | 1.60045e8i | 0.00638067 | + | 0.0110516i | ||||
\(801\) | −1.52097e10 | + | 7.17196e9i | −1.04570 | + | 0.493087i | ||||
\(802\) | −1.82296e8 | + | 3.15745e8i | −0.0124786 | + | 0.0216136i | ||||
\(803\) | 1.27044e10 | + | 1.06603e10i | 0.865865 | + | 0.726547i | ||||
\(804\) | −2.94359e9 | + | 1.34844e8i | −0.199747 | + | 0.00915032i | ||||
\(805\) | −8.26624e7 | − | 4.68802e8i | −0.00558499 | − | 0.0316740i | ||||
\(806\) | −2.62315e10 | + | 2.20109e10i | −1.76462 | + | 1.48069i | ||||
\(807\) | 2.09461e10 | + | 6.55493e9i | 1.40296 | + | 0.439046i | ||||
\(808\) | 1.47342e9 | − | 5.36280e8i | 0.0982620 | − | 0.0357644i | ||||
\(809\) | −2.31359e10 | −1.53627 | −0.768134 | − | 0.640289i | \(-0.778815\pi\) | ||||
−0.768134 | + | 0.640289i | \(0.778815\pi\) | |||||||
\(810\) | −1.27184e10 | + | 1.54240e10i | −0.840885 | + | 1.01976i | ||||
\(811\) | −1.61374e10 | −1.06234 | −0.531168 | − | 0.847267i | \(-0.678247\pi\) | ||||
−0.531168 | + | 0.847267i | \(0.678247\pi\) | |||||||
\(812\) | −1.55688e10 | + | 5.66657e9i | −1.02049 | + | 0.371428i | ||||
\(813\) | 9.34980e9 | + | 2.92595e9i | 0.610218 | + | 0.190964i | ||||
\(814\) | 2.49518e10 | − | 2.09370e10i | 1.62150 | − | 1.36060i | ||||
\(815\) | 4.08127e9 | + | 2.31460e10i | 0.264085 | + | 1.49770i | ||||
\(816\) | 1.81914e10 | − | 8.33340e8i | 1.17206 | − | 0.0536916i | ||||
\(817\) | 3.16753e9 | + | 2.65787e9i | 0.203209 | + | 0.170513i | ||||
\(818\) | 4.33285e9 | − | 7.50472e9i | 0.276782 | − | 0.479400i | ||||
\(819\) | −3.43354e9 | + | 4.12839e10i | −0.218398 | + | 2.62595i | ||||
\(820\) | −3.00049e9 | − | 5.19700e9i | −0.190039 | − | 0.329158i | ||||
\(821\) | −7.55235e7 | + | 4.28315e8i | −0.00476301 | + | 0.0270124i | −0.987097 | − | 0.160126i | \(-0.948810\pi\) |
0.982334 | + | 0.187138i | \(0.0599212\pi\) | |||||||
\(822\) | 8.03065e9 | − | 3.34660e9i | 0.504312 | − | 0.210161i | ||||
\(823\) | −5.30697e9 | − | 1.93158e9i | −0.331854 | − | 0.120785i | 0.170719 | − | 0.985320i | \(-0.445391\pi\) |
−0.502573 | + | 0.864535i | \(0.667613\pi\) | |||||||
\(824\) | 3.32400e9 | + | 1.20984e9i | 0.206974 | + | 0.0753323i | ||||
\(825\) | −2.56841e7 | + | 1.98376e8i | −0.00159249 | + | 0.0122999i | ||||
\(826\) | −6.77568e8 | + | 3.84268e9i | −0.0418334 | + | 0.237249i | ||||
\(827\) | −9.02329e9 | − | 1.56288e10i | −0.554748 | − | 0.960851i | −0.997923 | − | 0.0644163i | \(-0.979481\pi\) |
0.443175 | − | 0.896435i | \(-0.353852\pi\) | |||||||
\(828\) | −1.67445e8 | + | 1.68887e8i | −0.0102510 | + | 0.0103393i | ||||
\(829\) | 1.49815e10 | − | 2.59487e10i | 0.913301 | − | 1.58188i | 0.103930 | − | 0.994585i | \(-0.466858\pi\) |
0.809370 | − | 0.587299i | \(-0.199809\pi\) | |||||||
\(830\) | −1.84665e10 | − | 1.54953e10i | −1.12102 | − | 0.940645i | ||||
\(831\) | −8.63573e9 | − | 1.34914e10i | −0.522030 | − | 0.815558i | ||||
\(832\) | −1.91821e9 | − | 1.08787e10i | −0.115468 | − | 0.654854i | ||||
\(833\) | −1.96026e10 | + | 1.64485e10i | −1.17505 | + | 0.985982i | ||||
\(834\) | −2.45748e9 | + | 2.26158e9i | −0.146693 | + | 0.134999i | ||||
\(835\) | 1.20471e10 | − | 4.38478e9i | 0.716109 | − | 0.260642i | ||||
\(836\) | 1.59177e10 | 0.942236 | ||||||||
\(837\) | 1.76629e10 | + | 3.79674e9i | 1.04117 | + | 0.223806i | ||||
\(838\) | 1.47886e10 | 0.868105 | ||||||||
\(839\) | −6.52897e9 | + | 2.37635e9i | −0.381661 | + | 0.138913i | −0.525724 | − | 0.850655i | \(-0.676205\pi\) |
0.144063 | + | 0.989569i | \(0.453983\pi\) | |||||||
\(840\) | −2.15468e9 | − | 9.62146e9i | −0.125431 | − | 0.560097i | ||||
\(841\) | −1.78142e9 | + | 1.49479e9i | −0.103271 | + | 0.0866550i | ||||
\(842\) | 4.24197e9 | + | 2.40574e10i | 0.244892 | + | 1.38885i | ||||
\(843\) | 7.12200e9 | − | 1.37532e10i | 0.409454 | − | 0.790689i | ||||
\(844\) | −2.23035e9 | − | 1.87149e9i | −0.127695 | − | 0.107149i | ||||
\(845\) | 1.50406e10 | − | 2.60510e10i | 0.857562 | − | 1.48534i | ||||
\(846\) | 7.97012e9 | + | 1.12793e10i | 0.452552 | + | 0.640449i | ||||
\(847\) | 5.69102e9 | + | 9.85713e9i | 0.321809 | + | 0.557389i | ||||
\(848\) | −2.21844e9 | + | 1.25814e10i | −0.124929 | + | 0.708507i | ||||
\(849\) | −1.52422e10 | − | 1.16439e10i | −0.854810 | − | 0.653011i | ||||
\(850\) | 2.27036e8 | + | 8.26342e7i | 0.0126803 | + | 0.00461524i | ||||
\(851\) | −4.58837e8 | − | 1.67003e8i | −0.0255214 | − | 0.00928904i | ||||
\(852\) | −6.87714e8 | − | 5.25363e8i | −0.0380951 | − | 0.0291018i | ||||
\(853\) | −1.38672e9 | + | 7.86447e9i | −0.0765009 | + | 0.433858i | 0.922368 | + | 0.386312i | \(0.126251\pi\) |
−0.998869 | + | 0.0475461i | \(0.984860\pi\) | |||||||
\(854\) | −2.64578e10 | − | 4.58262e10i | −1.45362 | − | 2.51774i | ||||
\(855\) | −1.15753e10 | − | 1.63813e10i | −0.633362 | − | 0.896329i | ||||
\(856\) | 3.75888e8 | − | 6.51058e8i | 0.0204833 | − | 0.0354782i | ||||
\(857\) | 4.11568e9 | + | 3.45347e9i | 0.223362 | + | 0.187423i | 0.747601 | − | 0.664148i | \(-0.231206\pi\) |
−0.524239 | + | 0.851571i | \(0.675650\pi\) | |||||||
\(858\) | 2.17885e10 | − | 4.20754e10i | 1.17767 | − | 2.27417i | ||||
\(859\) | −3.40350e9 | − | 1.93022e10i | −0.183210 | − | 1.03904i | −0.928234 | − | 0.371998i | \(-0.878673\pi\) |
0.745023 | − | 0.667038i | \(-0.232438\pi\) | |||||||
\(860\) | 2.54369e9 | − | 2.13441e9i | 0.136370 | − | 0.114428i | ||||
\(861\) | 3.40077e9 | + | 1.51857e10i | 0.181579 | + | 0.810819i | ||||
\(862\) | −4.26352e10 | + | 1.55180e10i | −2.26722 | + | 0.825199i | ||||
\(863\) | −6.96783e9 | −0.369028 | −0.184514 | − | 0.982830i | \(-0.559071\pi\) | ||||
−0.184514 | + | 0.982830i | \(0.559071\pi\) | |||||||
\(864\) | −1.54933e10 | + | 1.71278e10i | −0.817231 | + | 0.903451i | ||||
\(865\) | 1.42433e10 | 0.748264 | ||||||||
\(866\) | 4.50885e10 | − | 1.64109e10i | 2.35914 | − | 0.858655i | ||||
\(867\) | −5.67520e8 | + | 5.22279e8i | −0.0295743 | + | 0.0272167i | ||||
\(868\) | 1.83515e10 | − | 1.53988e10i | 0.952474 | − | 0.799221i | ||||
\(869\) | −1.82106e9 | − | 1.03277e10i | −0.0941358 | − | 0.533871i | ||||
\(870\) | −1.28734e10 | − | 2.01120e10i | −0.662792 | − | 1.03547i | ||||
\(871\) | −6.74172e9 | − | 5.65697e9i | −0.345706 | − | 0.290082i | ||||
\(872\) | 6.58237e8 | − | 1.14010e9i | 0.0336182 | − | 0.0582285i | ||||
\(873\) | 5.71407e9 | − | 5.76329e9i | 0.290667 | − | 0.293171i | ||||
\(874\) | −2.82996e8 | − | 4.90164e8i | −0.0143381 | − | 0.0248342i | ||||
\(875\) | −5.48266e9 | + | 3.10937e10i | −0.276670 | + | 1.56908i | ||||
\(876\) | −1.77765e9 | + | 1.37300e10i | −0.0893472 | + | 0.690090i | ||||
\(877\) | 5.65694e8 | + | 2.05896e8i | 0.0283193 | + | 0.0103074i | 0.356141 | − | 0.934432i | \(-0.384092\pi\) |
−0.327822 | + | 0.944740i | \(0.606315\pi\) | |||||||
\(878\) | 4.69321e10 | + | 1.70819e10i | 2.34013 | + | 0.851736i | ||||
\(879\) | 1.85435e10 | − | 7.72761e9i | 0.920940 | − | 0.383781i | ||||
\(880\) | −5.00359e9 | + | 2.83768e10i | −0.247510 | + | 1.40370i | ||||
\(881\) | −6.47604e9 | − | 1.12168e10i | −0.319076 | − | 0.552655i | 0.661220 | − | 0.750192i | \(-0.270039\pi\) |
−0.980295 | + | 0.197537i | \(0.936706\pi\) | |||||||
\(882\) | 3.47695e9 | − | 4.18058e10i | 0.170631 | − | 2.05162i | ||||
\(883\) | −6.94573e9 | + | 1.20304e10i | −0.339512 | + | 0.588053i | −0.984341 | − | 0.176274i | \(-0.943595\pi\) |
0.644829 | + | 0.764327i | \(0.276929\pi\) | |||||||
\(884\) | −1.84831e10 | − | 1.55091e10i | −0.899894 | − | 0.755101i | ||||
\(885\) | −2.36851e9 | + | 1.08500e8i | −0.114861 | + | 0.00526172i | ||||
\(886\) | 4.28348e9 | + | 2.42928e10i | 0.206909 | + | 1.17344i | ||||
\(887\) | −2.37634e10 | + | 1.99398e10i | −1.14334 | + | 0.959376i | −0.999543 | − | 0.0302307i | \(-0.990376\pi\) |
−0.143797 | + | 0.989607i | \(0.545931\pi\) | |||||||
\(888\) | −9.65193e9 | − | 3.02050e9i | −0.462561 | − | 0.144755i | ||||
\(889\) | 3.45262e10 | − | 1.25665e10i | 1.64814 | − | 0.599873i | ||||
\(890\) | −3.21378e10 | −1.52810 | ||||||||
\(891\) | −2.45808e10 | + | 4.55197e9i | −1.16419 | + | 0.215589i | ||||
\(892\) | −1.72504e10 | −0.813807 | ||||||||
\(893\) | −1.30215e10 | + | 4.73945e9i | −0.611902 | + | 0.222714i | ||||
\(894\) | 4.40571e10 | + | 1.37874e10i | 2.06222 | + | 0.645357i | ||||
\(895\) | 1.52203e10 | − | 1.27713e10i | 0.709647 | − | 0.595464i | ||||
\(896\) | −4.11286e9 | − | 2.33252e10i | −0.191014 | − | 1.08330i | ||||
\(897\) | −7.09554e8 | + | 3.25042e7i | −0.0328255 | + | 0.00150372i | ||||
\(898\) | −1.36331e10 | − | 1.14396e10i | −0.628244 | − | 0.527160i | ||||
\(899\) | −1.07899e10 | + | 1.86886e10i | −0.495287 | + | 0.857863i | ||||
\(900\) | −1.51036e8 | + | 7.12195e7i | −0.00690609 | + | 0.00325649i | ||||
\(901\) | 6.46066e9 | + | 1.11902e10i | 0.294266 | + | 0.509684i | ||||
\(902\) | 3.09079e9 | − | 1.75287e10i | 0.140232 | − | 0.795293i | ||||
\(903\) | −7.94836e9 | + | 3.31230e9i | −0.359228 | + | 0.149700i | ||||
\(904\) | 1.04850e10 | + | 3.81621e9i | 0.472038 | + | 0.171808i | ||||
\(905\) | −1.04305e10 | − | 3.79638e9i | −0.467771 | − | 0.170255i | ||||
\(906\) | 5.77978e9 | − | 4.46413e10i | 0.258204 | − | 1.99429i | ||||
\(907\) | −6.14112e9 | + | 3.48280e10i | −0.273289 | + | 1.54990i | 0.471056 | + | 0.882103i | \(0.343873\pi\) |
−0.744345 | + | 0.667795i | \(0.767238\pi\) | |||||||
\(908\) | 3.98307e8 | + | 6.89889e8i | 0.0176570 | + | 0.0305829i | ||||
\(909\) | 1.74678e9 | + | 6.40900e9i | 0.0771373 | + | 0.283020i | ||||
\(910\) | −3.95864e10 | + | 6.85656e10i | −1.74141 | + | 3.01621i | ||||
\(911\) | −2.51754e10 | − | 2.11247e10i | −1.10322 | − | 0.925713i | −0.105584 | − | 0.994410i | \(-0.533671\pi\) |
−0.997638 | + | 0.0686979i | \(0.978116\pi\) | |||||||
\(912\) | −1.61481e10 | − | 2.52279e10i | −0.704920 | − | 1.10128i | ||||
\(913\) | −5.23449e9 | − | 2.96863e10i | −0.227628 | − | 1.29095i | ||||
\(914\) | 1.95139e10 | − | 1.63741e10i | 0.845340 | − | 0.709325i | ||||
\(915\) | 2.36595e10 | − | 2.17735e10i | 1.02102 | − | 0.939624i | ||||
\(916\) | 4.62824e9 | − | 1.68454e9i | 0.198967 | − | 0.0724182i | ||||
\(917\) | 3.40219e10 | 1.45702 | ||||||||
\(918\) | −1.12299e9 | + | 3.01735e10i | −0.0479100 | + | 1.28729i | ||||
\(919\) | −1.04111e10 | −0.442480 | −0.221240 | − | 0.975219i | \(-0.571010\pi\) | ||||
−0.221240 | + | 0.975219i | \(0.571010\pi\) | |||||||
\(920\) | 1.58860e8 | − | 5.78205e7i | 0.00672602 | − | 0.00244807i | ||||
\(921\) | 2.41196e9 | + | 1.07703e10i | 0.101733 | + | 0.454276i | ||||
\(922\) | −1.29877e10 | + | 1.08980e10i | −0.545725 | + | 0.457918i | ||||
\(923\) | −4.48831e8 | − | 2.54544e9i | −0.0187878 | − | 0.106551i | ||||
\(924\) | −1.52432e10 | + | 2.94359e10i | −0.635660 | + | 1.22751i | ||||
\(925\) | −2.62633e8 | − | 2.20375e8i | −0.0109107 | − | 0.00915517i | ||||
\(926\) | −1.84023e10 | + | 3.18737e10i | −0.761612 | + | 1.31915i | ||||
\(927\) | −6.27505e9 | + | 1.36089e10i | −0.258725 | + | 0.561107i | ||||
\(928\) | −1.37935e10 | − | 2.38910e10i | −0.566573 | − | 0.981333i | ||||
\(929\) | −1.77617e9 | + | 1.00732e10i | −0.0726825 | + | 0.412203i | 0.926658 | + | 0.375904i | \(0.122668\pi\) |
−0.999341 | + | 0.0362986i | \(0.988443\pi\) | |||||||
\(930\) | 2.74378e10 | + | 2.09604e10i | 1.11856 | + | 0.854495i | ||||
\(931\) | 3.95521e10 | + | 1.43958e10i | 1.60637 | + | 0.584670i | ||||
\(932\) | 3.27577e10 | + | 1.19228e10i | 1.32543 | + | 0.482418i | ||||
\(933\) | 8.34694e9 | + | 6.37644e9i | 0.336466 | + | 0.257035i | ||||
\(934\) | 6.05258e9 | − | 3.43259e10i | 0.243067 | − | 1.37850i | ||||
\(935\) | 1.45717e10 | + | 2.52390e10i | 0.583002 | + | 1.00979i | ||||
\(936\) | −1.46503e10 | + | 1.34507e9i | −0.583958 | + | 0.0536141i | ||||
\(937\) | 1.21199e10 | − | 2.09922e10i | 0.481292 | − | 0.833623i | −0.518477 | − | 0.855091i | \(-0.673501\pi\) |
0.999770 | + | 0.0214686i | \(0.00683421\pi\) | |||||||
\(938\) | 1.11873e10 | + | 9.38722e9i | 0.442602 | + | 0.371387i | ||||
\(939\) | 6.26254e9 | − | 1.20935e10i | 0.246843 | − | 0.476674i | ||||
\(940\) | 1.93237e9 | + | 1.09590e10i | 0.0758827 | + | 0.430352i | ||||
\(941\) | −2.90928e10 | + | 2.44117e10i | −1.13821 | + | 0.955069i | −0.999379 | − | 0.0352471i | \(-0.988778\pi\) |
−0.138829 | + | 0.990316i | \(0.544334\pi\) | |||||||
\(942\) | 2.88231e9 | + | 1.28706e10i | 0.112347 | + | 0.501672i | ||||
\(943\) | −2.50732e8 | + | 9.12589e7i | −0.00973685 | + | 0.00354392i | ||||
\(944\) | −3.54064e9 | −0.136987 | ||||||||
\(945\) | 4.13779e10 | − | 5.71852e9i | 1.59499 | − | 0.220431i | ||||
\(946\) | 9.84889e9 | 0.378241 | ||||||||
\(947\) | 9.43509e9 | − | 3.43409e9i | 0.361011 | − | 0.131397i | −0.155145 | − | 0.987892i | \(-0.549584\pi\) |
0.516157 | + | 0.856494i | \(0.327362\pi\) | |||||||
\(948\) | 6.44182e9 | − | 5.92830e9i | 0.245572 | − | 0.225996i | ||||
\(949\) | −3.16751e10 | + | 2.65786e10i | −1.20306 | + | 1.00948i | ||||
\(950\) | −6.90086e7 | − | 3.91367e8i | −0.00261138 | − | 0.0148099i | ||||
\(951\) | −5.98215e9 | − | 9.34581e9i | −0.225541 | − | 0.352359i | ||||
\(952\) | −1.14078e10 | − | 9.57229e9i | −0.428522 | − | 0.359572i | ||||
\(953\) | 1.03120e10 | − | 1.78610e10i | 0.385940 | − | 0.668467i | −0.605959 | − | 0.795496i | \(-0.707211\pi\) |
0.991899 | + | 0.127028i | \(0.0405439\pi\) | |||||||
\(954\) | −2.04843e10 | − | 5.39469e9i | −0.763837 | − | 0.201163i | ||||
\(955\) | 9.69280e9 | + | 1.67884e10i | 0.360112 | + | 0.623732i | ||||
\(956\) | −2.08022e9 | + | 1.17975e10i | −0.0770028 | + | 0.436705i | ||||
\(957\) | 3.83405e9 | − | 2.96130e10i | 0.141405 | − | 1.09217i | ||||
\(958\) | −6.03634e10 | − | 2.19705e10i | −2.21817 | − | 0.807347i | ||||
\(959\) | −1.70821e10 | − | 6.21737e9i | −0.625426 | − | 0.227636i | ||||
\(960\) | −1.02814e10 | + | 4.28455e9i | −0.375063 | + | 0.156299i | ||||
\(961\) | 6.40818e8 | − | 3.63426e9i | 0.0232918 | − | 0.132094i | ||||
\(962\) | 4.06051e10 | + | 7.03301e10i | 1.47051 | + | 2.54700i | ||||
\(963\) | 2.61675e9 | + | 1.81559e9i | 0.0944213 | + | 0.0655129i | ||||
\(964\) | 7.65446e8 | − | 1.32579e9i | 0.0275198 | − | 0.0476657i | ||||
\(965\) | 3.44036e10 | + | 2.88680e10i | 1.23242 | + | 1.03412i | ||||
\(966\) | 1.17744e9 | − | 5.39378e7i | 0.0420260 | − | 0.00192519i | ||||
\(967\) | 2.56281e9 | + | 1.45344e10i | 0.0911431 | + | 0.516898i | 0.995861 | + | 0.0908874i | \(0.0289703\pi\) |
−0.904718 | + | 0.426011i | \(0.859919\pi\) | |||||||
\(968\) | −3.09646e9 | + | 2.59824e9i | −0.109724 | + | 0.0920695i | ||||
\(969\) | −2.89126e10 | − | 9.04801e9i | −1.02083 | − | 0.319462i | ||||
\(970\) | 1.45752e10 | − | 5.30495e9i | 0.512760 | − | 0.186629i | ||||
\(971\) | 3.03988e10 | 1.06559 | 0.532795 | − | 0.846245i | \(-0.321142\pi\) | ||||
0.532795 | + | 0.846245i | \(0.321142\pi\) | |||||||
\(972\) | −1.42629e10 | − | 1.52340e10i | −0.498167 | − | 0.532087i | ||||
\(973\) | 6.97827e9 | 0.242858 | ||||||||
\(974\) | 3.90585e10 | − | 1.42161e10i | 1.35444 | − | 0.492975i | ||||
\(975\) | −4.75965e8 | − | 1.48950e8i | −0.0164459 | − | 0.00514664i | ||||
\(976\) | 3.67821e10 | − | 3.08639e10i | 1.26637 | − | 1.06261i | ||||
\(977\) | −1.62869e8 | − | 9.23677e8i | −0.00558738 | − | 0.0316876i | 0.981887 | − | 0.189470i | \(-0.0606768\pi\) |
−0.987474 | + | 0.157782i | \(0.949566\pi\) | |||||||
\(978\) | −5.81333e10 | + | 2.66306e9i | −1.98719 | + | 0.0910320i | ||||
\(979\) | −3.07852e10 | − | 2.58319e10i | −1.04858 | − | 0.879866i | ||||
\(980\) | 1.69004e10 | − | 2.92724e10i | 0.573596 | − | 0.993498i | ||||
\(981\) | 4.58232e9 | + | 3.17938e9i | 0.154969 | + | 0.107523i | ||||
\(982\) | 1.08226e9 | + | 1.87453e9i | 0.0364706 | + | 0.0631689i | ||||
\(983\) | 3.58444e9 | − | 2.03284e10i | 0.120360 | − | 0.682598i | −0.863595 | − | 0.504185i | \(-0.831793\pi\) |
0.983956 | − | 0.178412i | \(-0.0570961\pi\) | |||||||
\(984\) | −5.10131e9 | + | 2.12586e9i | −0.170686 | + | 0.0711297i | ||||
\(985\) | −5.61469e10 | − | 2.04358e10i | −1.87197 | − | 0.681342i | ||||
\(986\) | −3.38912e10 | − | 1.23354e10i | −1.12595 | − | 0.409811i | ||||
\(987\) | 3.70530e9 | − | 2.86186e10i | 0.122663 | − | 0.947412i | ||||
\(988\) | −6.89152e9 | + | 3.90837e10i | −0.227335 | + | 1.28928i | ||||
\(989\) | −7.38213e7 | − | 1.27862e8i | −0.00242658 | − | 0.00420296i | ||||
\(990\) | −4.62013e10 | − | 1.21675e10i | −1.51332 | − | 0.398545i | ||||
\(991\) | 3.55854e9 | − | 6.16358e9i | 0.116149 | − | 0.201175i | −0.802090 | − | 0.597204i | \(-0.796278\pi\) |
0.918238 | + | 0.396028i | \(0.129612\pi\) | |||||||
\(992\) | 3.05567e10 | + | 2.56401e10i | 0.993839 | + | 0.833930i | ||||
\(993\) | 6.76548e9 | + | 1.05696e10i | 0.219269 | + | 0.342560i | ||||
\(994\) | 7.44792e8 | + | 4.22393e9i | 0.0240538 | + | 0.136416i | ||||
\(995\) | 4.16068e10 | − | 3.49122e10i | 1.33901 | − | 1.12356i | ||||
\(996\) | 1.85165e10 | − | 1.70404e10i | 0.593815 | − | 0.546478i | ||||
\(997\) | −8.15518e9 | + | 2.96824e9i | −0.260616 | + | 0.0948563i | −0.469024 | − | 0.883186i | \(-0.655394\pi\) |
0.208408 | + | 0.978042i | \(0.433172\pi\) | |||||||
\(998\) | −9.97027e9 | −0.317505 | ||||||||
\(999\) | 1.61416e10 | − | 3.96894e10i | 0.512231 | − | 1.25949i |
(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 | 27.8.e.a.7.5 | yes | 120 | |
3.2 | odd | 2 | 81.8.e.a.19.16 | 120 | |||
27.4 | even | 9 | inner | 27.8.e.a.4.5 | ✓ | 120 | |
27.23 | odd | 18 | 81.8.e.a.64.16 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.5 | ✓ | 120 | 27.4 | even | 9 | inner | |
27.8.e.a.7.5 | yes | 120 | 1.1 | even | 1 | trivial | |
81.8.e.a.19.16 | 120 | 3.2 | odd | 2 | |||
81.8.e.a.64.16 | 120 | 27.23 | odd | 18 |