Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.8.e.a.16.5 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.24555 | − | 7.20775i | −0.552034 | − | 0.637081i | 0.409322 | − | 0.912390i | \(-0.365765\pi\) |
−0.961356 | + | 0.275309i | \(0.911220\pi\) | |||||||
\(3\) | 22.7138 | + | 14.5973i | 0.485698 | + | 0.312139i | ||||
\(4\) | 5.27156 | − | 36.6645i | 0.0411840 | − | 0.286441i | ||||
\(5\) | 130.697 | − | 286.187i | 0.467597 | − | 1.02389i | −0.518093 | − | 0.855324i | \(-0.673358\pi\) |
0.985690 | − | 0.168570i | \(-0.0539148\pi\) | |||||||
\(6\) | −36.6468 | − | 254.884i | −0.0692638 | − | 0.481740i | ||||
\(7\) | −922.772 | − | 270.950i | −1.01684 | − | 0.298570i | −0.269489 | − | 0.963003i | \(-0.586855\pi\) |
−0.747348 | + | 0.664433i | \(0.768673\pi\) | |||||||
\(8\) | −1324.16 | + | 850.988i | −0.914380 | + | 0.587636i | ||||
\(9\) | 302.838 | + | 663.122i | 0.138472 | + | 0.303211i | ||||
\(10\) | −2879.04 | + | 845.362i | −0.910432 | + | 0.267327i | ||||
\(11\) | 2219.74 | − | 2561.71i | 0.502837 | − | 0.580305i | −0.446413 | − | 0.894827i | \(-0.647299\pi\) |
0.949250 | + | 0.314522i | \(0.101844\pi\) | |||||||
\(12\) | 654.940 | − | 755.841i | 0.109413 | − | 0.126269i | ||||
\(13\) | −4952.11 | + | 1454.07i | −0.625157 | + | 0.183563i | −0.578942 | − | 0.815369i | \(-0.696534\pi\) |
−0.0462149 | + | 0.998932i | \(0.514716\pi\) | |||||||
\(14\) | 3810.28 | + | 8343.34i | 0.371115 | + | 0.812628i | ||||
\(15\) | 7146.20 | − | 4592.58i | 0.546708 | − | 0.351348i | ||||
\(16\) | 9854.58 | + | 2893.57i | 0.601476 | + | 0.176609i | ||||
\(17\) | −485.288 | − | 3375.25i | −0.0239568 | − | 0.166623i | 0.974331 | − | 0.225121i | \(-0.0722779\pi\) |
−0.998288 | + | 0.0584983i | \(0.981369\pi\) | |||||||
\(18\) | 2888.23 | − | 6324.33i | 0.116729 | − | 0.255600i | ||||
\(19\) | 2310.77 | − | 16071.8i | 0.0772893 | − | 0.537559i | −0.913985 | − | 0.405747i | \(-0.867011\pi\) |
0.991275 | − | 0.131812i | \(-0.0420795\pi\) | |||||||
\(20\) | −9803.93 | − | 6300.60i | −0.274028 | − | 0.176107i | ||||
\(21\) | −17004.6 | − | 19624.3i | −0.400680 | − | 0.462410i | ||||
\(22\) | −32327.7 | −0.647284 | ||||||||
\(23\) | −57151.2 | + | 11771.5i | −0.979440 | + | 0.201737i | ||||
\(24\) | −42499.0 | −0.627537 | ||||||||
\(25\) | −13660.3 | − | 15764.8i | −0.174852 | − | 0.201789i | ||||
\(26\) | 41409.2 | + | 26612.1i | 0.462052 | + | 0.296943i | ||||
\(27\) | −2801.18 | + | 19482.7i | −0.0273885 | + | 0.190491i | ||||
\(28\) | −14798.7 | + | 32404.6i | −0.127400 | + | 0.278968i | ||||
\(29\) | 12432.6 | + | 86470.7i | 0.0946607 | + | 0.658379i | 0.980808 | + | 0.194976i | \(0.0624628\pi\) |
−0.886147 | + | 0.463404i | \(0.846628\pi\) | |||||||
\(30\) | −77734.1 | − | 22824.8i | −0.525638 | − | 0.154341i | ||||
\(31\) | −28356.9 | + | 18223.9i | −0.170959 | + | 0.109869i | −0.623322 | − | 0.781965i | \(-0.714218\pi\) |
0.452363 | + | 0.891834i | \(0.350581\pi\) | |||||||
\(32\) | 43005.3 | + | 94168.4i | 0.232005 | + | 0.508019i | ||||
\(33\) | 87812.9 | − | 25784.2i | 0.425363 | − | 0.124898i | ||||
\(34\) | −21297.1 | + | 24578.1i | −0.0929274 | + | 0.107244i | ||||
\(35\) | −198146. | + | 228673.i | −0.781174 | + | 0.901523i | ||||
\(36\) | 25909.4 | − | 7607.70i | 0.0925549 | − | 0.0271766i | ||||
\(37\) | 8757.78 | + | 19176.9i | 0.0284242 | + | 0.0622403i | 0.923312 | − | 0.384052i | \(-0.125472\pi\) |
−0.894887 | + | 0.446292i | \(0.852744\pi\) | |||||||
\(38\) | −130273. | + | 83721.5i | −0.385135 | + | 0.247511i | ||||
\(39\) | −133707. | − | 39259.9i | −0.360934 | − | 0.105980i | ||||
\(40\) | 70477.3 | + | 490180.i | 0.174116 | + | 1.21101i | ||||
\(41\) | −271007. | + | 593423.i | −0.614098 | + | 1.34469i | 0.305638 | + | 0.952148i | \(0.401130\pi\) |
−0.919736 | + | 0.392539i | \(0.871597\pi\) | |||||||
\(42\) | −35244.3 | + | 245129.i | −0.0734033 | + | 0.510531i | ||||
\(43\) | −137608. | − | 88435.6i | −0.263940 | − | 0.169624i | 0.401977 | − | 0.915650i | \(-0.368323\pi\) |
−0.665917 | + | 0.746026i | \(0.731960\pi\) | |||||||
\(44\) | −82222.5 | − | 94889.8i | −0.145514 | − | 0.167933i | ||||
\(45\) | 229357. | 0.375204 | ||||||||
\(46\) | 441787. | + | 338412.i | 0.669206 | + | 0.512617i | ||||
\(47\) | −1.05199e6 | −1.47798 | −0.738991 | − | 0.673715i | \(-0.764697\pi\) | ||||
−0.738991 | + | 0.673715i | \(0.764697\pi\) | |||||||
\(48\) | 181597. | + | 209574.i | 0.237009 | + | 0.273523i | ||||
\(49\) | 85286.3 | + | 54810.2i | 0.103560 | + | 0.0665541i | ||||
\(50\) | −28312.8 | + | 196920.i | −0.0320322 | + | 0.222789i | ||||
\(51\) | 38246.8 | − | 83748.9i | 0.0403738 | − | 0.0884064i | ||||
\(52\) | 27207.4 | + | 189232.i | 0.0268334 | + | 0.186631i | ||||
\(53\) | −1.86792e6 | − | 548472.i | −1.72343 | − | 0.506045i | −0.737808 | − | 0.675011i | \(-0.764139\pi\) |
−0.985622 | + | 0.168966i | \(0.945957\pi\) | |||||||
\(54\) | 157921. | − | 101490.i | 0.136478 | − | 0.0877089i | ||||
\(55\) | −443016. | − | 970069.i | −0.359046 | − | 0.786201i | ||||
\(56\) | 1.45248e6 | − | 426486.i | 1.10523 | − | 0.324524i | ||||
\(57\) | 287091. | − | 331321.i | 0.205332 | − | 0.236966i | ||||
\(58\) | 545611. | − | 629668.i | 0.367185 | − | 0.423754i | ||||
\(59\) | 1.10239e6 | − | 323692.i | 0.698804 | − | 0.205187i | 0.0870132 | − | 0.996207i | \(-0.472268\pi\) |
0.611790 | + | 0.791020i | \(0.290450\pi\) | |||||||
\(60\) | −130713. | − | 286222.i | −0.0781249 | − | 0.171070i | ||||
\(61\) | 924848. | − | 594364.i | 0.521694 | − | 0.335272i | −0.253148 | − | 0.967428i | \(-0.581466\pi\) |
0.774842 | + | 0.632155i | \(0.217830\pi\) | |||||||
\(62\) | 308458. | + | 90571.3i | 0.164371 | + | 0.0482636i | ||||
\(63\) | −99777.0 | − | 693964.i | −0.0502734 | − | 0.349659i | ||||
\(64\) | 956271. | − | 2.09394e6i | 0.455986 | − | 0.998469i | ||||
\(65\) | −231091. | + | 1.60727e6i | −0.104373 | + | 0.725927i | ||||
\(66\) | −734286. | − | 471897.i | −0.314385 | − | 0.202043i | ||||
\(67\) | −1.22069e6 | − | 1.40875e6i | −0.495840 | − | 0.572230i | 0.451576 | − | 0.892232i | \(-0.350862\pi\) |
−0.947417 | + | 0.320002i | \(0.896316\pi\) | |||||||
\(68\) | −126310. | −0.0487144 | ||||||||
\(69\) | −1.46996e6 | − | 566876.i | −0.538682 | − | 0.207738i | ||||
\(70\) | 2.88575e6 | 1.00558 | ||||||||
\(71\) | 2.10523e6 | + | 2.42957e6i | 0.698064 | + | 0.805609i | 0.988490 | − | 0.151288i | \(-0.0483422\pi\) |
−0.290425 | + | 0.956898i | \(0.593797\pi\) | |||||||
\(72\) | −965315. | − | 620371.i | −0.304793 | − | 0.195879i | ||||
\(73\) | 334388. | − | 2.32572e6i | 0.100605 | − | 0.699725i | −0.875625 | − | 0.482991i | \(-0.839550\pi\) |
0.976231 | − | 0.216734i | \(-0.0695405\pi\) | |||||||
\(74\) | 83524.8 | − | 182894.i | 0.0239610 | − | 0.0524672i | ||||
\(75\) | −80153.9 | − | 557482.i | −0.0219387 | − | 0.152587i | ||||
\(76\) | −577082. | − | 169446.i | −0.150796 | − | 0.0442777i | ||||
\(77\) | −2.74241e6 | + | 1.76244e6i | −0.684565 | + | 0.439943i | ||||
\(78\) | 552098. | + | 1.20893e6i | 0.131730 | + | 0.288449i | ||||
\(79\) | 5.52840e6 | − | 1.62328e6i | 1.26155 | − | 0.370424i | 0.418479 | − | 0.908227i | \(-0.362563\pi\) |
0.843071 | + | 0.537802i | \(0.180745\pi\) | |||||||
\(80\) | 2.11607e6 | − | 2.44207e6i | 0.462077 | − | 0.533266i | ||||
\(81\) | −348020. | + | 401636.i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 5.96983e6 | − | 1.75290e6i | 1.19568 | − | 0.351082i | ||||
\(83\) | −285399. | − | 624937.i | −0.0547873 | − | 0.119967i | 0.880258 | − | 0.474495i | \(-0.157369\pi\) |
−0.935046 | + | 0.354527i | \(0.884642\pi\) | |||||||
\(84\) | −809156. | + | 520013.i | −0.148955 | + | 0.0957275i | ||||
\(85\) | −1.02938e6 | − | 302253.i | −0.181807 | − | 0.0533832i | ||||
\(86\) | 222019. | + | 1.54418e6i | 0.0376396 | + | 0.261789i | ||||
\(87\) | −979847. | + | 2.14557e6i | −0.159529 | + | 0.349321i | ||||
\(88\) | −759308. | + | 5.28110e6i | −0.118776 | + | 0.826105i | ||||
\(89\) | −5.59768e6 | − | 3.59741e6i | −0.841673 | − | 0.540910i | 0.0472943 | − | 0.998881i | \(-0.484940\pi\) |
−0.888967 | + | 0.457971i | \(0.848576\pi\) | |||||||
\(90\) | −1.43246e6 | − | 1.65315e6i | −0.207126 | − | 0.239036i | ||||
\(91\) | 4.96365e6 | 0.690489 | ||||||||
\(92\) | 130321. | + | 2.15747e6i | 0.0174485 | + | 0.288860i | ||||
\(93\) | −910114. | −0.117329 | ||||||||
\(94\) | 6.57025e6 | + | 7.58248e6i | 0.815896 | + | 0.941594i | ||||
\(95\) | −4.29752e6 | − | 2.76185e6i | −0.514263 | − | 0.330497i | ||||
\(96\) | −397790. | + | 2.76669e6i | −0.0458885 | + | 0.319162i | ||||
\(97\) | −1.75470e6 | + | 3.84225e6i | −0.195209 | + | 0.427449i | −0.981772 | − | 0.190061i | \(-0.939131\pi\) |
0.786563 | + | 0.617510i | \(0.211859\pi\) | |||||||
\(98\) | −137602. | − | 957042.i | −0.0147684 | − | 0.102716i | ||||
\(99\) | 2.37095e6 | + | 696173.i | 0.245583 | + | 0.0721098i | ||||
\(100\) | −650019. | + | 417742.i | −0.0650019 | + | 0.0417742i | ||||
\(101\) | −904659. | − | 1.98093e6i | −0.0873696 | − | 0.191313i | 0.860904 | − | 0.508768i | \(-0.169899\pi\) |
−0.948273 | + | 0.317455i | \(0.897172\pi\) | |||||||
\(102\) | −842513. | + | 247384.i | −0.0786097 | + | 0.0230819i | ||||
\(103\) | 1.15435e7 | − | 1.33220e7i | 1.04090 | − | 1.20126i | 0.0617563 | − | 0.998091i | \(-0.480330\pi\) |
0.979143 | − | 0.203171i | \(-0.0651247\pi\) | |||||||
\(104\) | 5.32001e6 | − | 6.13962e6i | 0.463763 | − | 0.535211i | ||||
\(105\) | −7.83868e6 | + | 2.30164e6i | −0.660815 | + | 0.194033i | ||||
\(106\) | 7.71296e6 | + | 1.68890e7i | 0.629000 | + | 1.37732i | ||||
\(107\) | 1.14637e6 | − | 736730.i | 0.0904656 | − | 0.0581387i | −0.494626 | − | 0.869106i | \(-0.664695\pi\) |
0.585092 | + | 0.810967i | \(0.301059\pi\) | |||||||
\(108\) | 699555. | + | 205408.i | 0.0534366 | + | 0.0156904i | ||||
\(109\) | −2.39304e6 | − | 1.66440e7i | −0.176993 | − | 1.23102i | −0.863672 | − | 0.504055i | \(-0.831841\pi\) |
0.686678 | − | 0.726962i | \(-0.259068\pi\) | |||||||
\(110\) | −4.22514e6 | + | 9.25176e6i | −0.302668 | + | 0.662750i | ||||
\(111\) | −81007.6 | + | 563420.i | −0.00562206 | + | 0.0391023i | ||||
\(112\) | −8.30952e6 | − | 5.34020e6i | −0.558873 | − | 0.359166i | ||||
\(113\) | −1.61195e7 | − | 1.86029e7i | −1.05094 | − | 1.21284i | −0.976477 | − | 0.215621i | \(-0.930822\pi\) |
−0.0744590 | − | 0.997224i | \(-0.523723\pi\) | |||||||
\(114\) | −4.18111e6 | −0.264317 | ||||||||
\(115\) | −4.10064e6 | + | 1.78944e7i | −0.251426 | + | 1.09717i | ||||
\(116\) | 3.23594e6 | 0.192486 | ||||||||
\(117\) | −2.46391e6 | − | 2.84351e6i | −0.142225 | − | 0.164136i | ||||
\(118\) | −9.21815e6 | − | 5.92415e6i | −0.516484 | − | 0.331924i | ||||
\(119\) | −466716. | + | 3.24608e6i | −0.0253886 | + | 0.176581i | ||||
\(120\) | −5.55450e6 | + | 1.21627e7i | −0.293434 | + | 0.642531i | ||||
\(121\) | 1.13817e6 | + | 7.91615e6i | 0.0584062 | + | 0.406224i | ||||
\(122\) | −1.00602e7 | − | 2.95394e6i | −0.501588 | − | 0.147280i | ||||
\(123\) | −1.48180e7 | + | 9.52295e6i | −0.717995 | + | 0.461428i | ||||
\(124\) | 518684. | + | 1.13576e6i | 0.0244302 | + | 0.0534947i | ||||
\(125\) | 1.72869e7 | − | 5.07589e6i | 0.791647 | − | 0.232449i | ||||
\(126\) | −4.37876e6 | + | 5.05336e6i | −0.195009 | + | 0.225052i | ||||
\(127\) | −831019. | + | 959047.i | −0.0359996 | + | 0.0415458i | −0.773464 | − | 0.633840i | \(-0.781478\pi\) |
0.737464 | + | 0.675386i | \(0.236023\pi\) | |||||||
\(128\) | −8.35077e6 | + | 2.45201e6i | −0.351959 | + | 0.103344i | ||||
\(129\) | −1.83470e6 | − | 4.01742e6i | −0.0752489 | − | 0.164772i | ||||
\(130\) | 1.30281e7 | − | 8.37266e6i | 0.520092 | − | 0.334243i | ||||
\(131\) | −6.66893e6 | − | 1.95818e6i | −0.259183 | − | 0.0761030i | 0.149559 | − | 0.988753i | \(-0.452214\pi\) |
−0.408743 | + | 0.912650i | \(0.634033\pi\) | |||||||
\(132\) | −482454. | − | 3.35554e6i | −0.0182577 | − | 0.126985i | ||||
\(133\) | −6.48697e6 | + | 1.42045e7i | −0.239090 | + | 0.523533i | ||||
\(134\) | −2.53003e6 | + | 1.75968e7i | −0.0908364 | + | 0.631781i | ||||
\(135\) | 5.20958e6 | + | 3.34799e6i | 0.182236 | + | 0.117116i | ||||
\(136\) | 3.51490e6 | + | 4.05641e6i | 0.119819 | + | 0.138279i | ||||
\(137\) | −1.52646e7 | −0.507181 | −0.253590 | − | 0.967312i | \(-0.581612\pi\) | ||||
−0.253590 | + | 0.967312i | \(0.581612\pi\) | |||||||
\(138\) | 5.09478e6 | + | 1.41355e7i | 0.165024 | + | 0.457862i | ||||
\(139\) | 3.87748e7 | 1.22461 | 0.612305 | − | 0.790621i | \(-0.290242\pi\) | ||||
0.612305 | + | 0.790621i | \(0.290242\pi\) | |||||||
\(140\) | 7.33964e6 | + | 8.47040e6i | 0.226062 | + | 0.260889i | ||||
\(141\) | −2.38947e7 | − | 1.53562e7i | −0.717853 | − | 0.461336i | ||||
\(142\) | 4.36337e6 | − | 3.03479e7i | 0.127883 | − | 0.889447i | ||||
\(143\) | −7.26748e6 | + | 1.59136e7i | −0.207830 | + | 0.455083i | ||||
\(144\) | 1.06555e6 | + | 7.41107e6i | 0.0297376 | + | 0.206829i | ||||
\(145\) | 2.63717e7 | + | 7.74344e6i | 0.718374 | + | 0.210934i | ||||
\(146\) | −1.88516e7 | + | 1.21152e7i | −0.501319 | + | 0.322178i | ||||
\(147\) | 1.13710e6 | + | 2.48990e6i | 0.0295248 | + | 0.0646504i | ||||
\(148\) | 749277. | − | 220008.i | 0.0189988 | − | 0.00557855i | ||||
\(149\) | −7.81613e6 | + | 9.02029e6i | −0.193571 | + | 0.223393i | −0.844235 | − | 0.535973i | \(-0.819945\pi\) |
0.650665 | + | 0.759365i | \(0.274490\pi\) | |||||||
\(150\) | −3.51759e6 | + | 4.05951e6i | −0.0850992 | + | 0.0982097i | ||||
\(151\) | −6.48544e7 | + | 1.90430e7i | −1.53292 | + | 0.450107i | −0.935944 | − | 0.352150i | \(-0.885451\pi\) |
−0.596979 | + | 0.802257i | \(0.703633\pi\) | |||||||
\(152\) | 1.06170e7 | + | 2.32481e7i | 0.245217 | + | 0.536951i | ||||
\(153\) | 2.09124e6 | − | 1.34396e6i | 0.0472046 | − | 0.0303365i | ||||
\(154\) | 2.98311e7 | + | 8.75919e6i | 0.658183 | + | 0.193260i | ||||
\(155\) | 1.50927e6 | + | 1.04972e7i | 0.0325541 | + | 0.226419i | ||||
\(156\) | −2.14429e6 | + | 4.69534e6i | −0.0452217 | + | 0.0990218i | ||||
\(157\) | 1.02864e7 | − | 7.15432e7i | 0.212135 | − | 1.47543i | −0.553872 | − | 0.832602i | \(-0.686850\pi\) |
0.766007 | − | 0.642832i | \(-0.222241\pi\) | |||||||
\(158\) | −4.62281e7 | − | 2.97090e7i | −0.932408 | − | 0.599222i | ||||
\(159\) | −3.44215e7 | − | 3.97245e7i | −0.679110 | − | 0.783735i | ||||
\(160\) | 3.25705e7 | 0.628643 | ||||||||
\(161\) | 5.59270e7 | + | 4.62270e6i | 1.05616 | + | 0.0872981i | ||||
\(162\) | 5.06847e6 | 0.0936643 | ||||||||
\(163\) | 2.78626e6 | + | 3.21551e6i | 0.0503924 | + | 0.0581559i | 0.780386 | − | 0.625298i | \(-0.215023\pi\) |
−0.729994 | + | 0.683454i | \(0.760477\pi\) | |||||||
\(164\) | 2.03289e7 | + | 1.30646e7i | 0.359883 | + | 0.231283i | ||||
\(165\) | 4.09780e6 | − | 2.85008e7i | 0.0710162 | − | 0.493928i | ||||
\(166\) | −2.72192e6 | + | 5.96016e6i | −0.0461845 | + | 0.101130i | ||||
\(167\) | −705965. | − | 4.91009e6i | −0.0117294 | − | 0.0815797i | 0.983116 | − | 0.182984i | \(-0.0585756\pi\) |
−0.994845 | + | 0.101404i | \(0.967666\pi\) | |||||||
\(168\) | 3.92169e7 | + | 1.15151e7i | 0.638103 | + | 0.187364i | ||||
\(169\) | −3.03783e7 | + | 1.95230e7i | −0.484128 | + | 0.311130i | ||||
\(170\) | 4.25048e6 | + | 9.30725e6i | 0.0663539 | + | 0.145295i | ||||
\(171\) | 1.13573e7 | − | 3.33481e6i | 0.173696 | − | 0.0510017i | ||||
\(172\) | −3.96786e6 | + | 4.57915e6i | −0.0594574 | + | 0.0686175i | ||||
\(173\) | 6.14358e7 | − | 7.09007e7i | 0.902112 | − | 1.04109i | −0.0968395 | − | 0.995300i | \(-0.530873\pi\) |
0.998951 | − | 0.0457922i | \(-0.0145812\pi\) | |||||||
\(174\) | 2.15844e7 | − | 6.33774e6i | 0.310611 | − | 0.0912037i | ||||
\(175\) | 8.33385e6 | + | 1.82486e7i | 0.117547 | + | 0.257393i | ||||
\(176\) | 2.92871e7 | − | 1.88217e7i | 0.404932 | − | 0.260234i | ||||
\(177\) | 2.97647e7 | + | 8.73969e6i | 0.403454 | + | 0.118465i | ||||
\(178\) | 9.03136e6 | + | 6.28145e7i | 0.120028 | + | 0.834814i | ||||
\(179\) | −9.63749e6 | + | 2.11032e7i | −0.125597 | + | 0.275019i | −0.961977 | − | 0.273132i | \(-0.911941\pi\) |
0.836380 | + | 0.548150i | \(0.184668\pi\) | |||||||
\(180\) | 1.20907e6 | − | 8.40925e6i | 0.0154524 | − | 0.107474i | ||||
\(181\) | −8.78411e7 | − | 5.64521e7i | −1.10109 | − | 0.707628i | −0.141756 | − | 0.989902i | \(-0.545275\pi\) |
−0.959334 | + | 0.282274i | \(0.908911\pi\) | |||||||
\(182\) | −3.10007e7 | − | 3.57768e7i | −0.381173 | − | 0.439897i | ||||
\(183\) | 2.96830e7 | 0.358037 | ||||||||
\(184\) | 6.56601e7 | − | 6.42224e7i | 0.777032 | − | 0.760019i | ||||
\(185\) | 6.63279e6 | 0.0770185 | ||||||||
\(186\) | 5.68416e6 | + | 6.55987e6i | 0.0647696 | + | 0.0747481i | ||||
\(187\) | −9.72365e6 | − | 6.24901e6i | −0.108739 | − | 0.0698820i | ||||
\(188\) | −5.54563e6 | + | 3.85707e7i | −0.0608693 | + | 0.423355i | ||||
\(189\) | 7.86369e6 | − | 1.72191e7i | 0.0847247 | − | 0.185521i | ||||
\(190\) | 6.93366e6 | + | 4.82247e7i | 0.0733373 | + | 0.510072i | ||||
\(191\) | −1.20113e7 | − | 3.52682e6i | −0.124730 | − | 0.0366241i | 0.218772 | − | 0.975776i | \(-0.429795\pi\) |
−0.343502 | + | 0.939152i | \(0.611613\pi\) | |||||||
\(192\) | 5.22865e7 | − | 3.36025e7i | 0.533133 | − | 0.342623i | ||||
\(193\) | −5.91283e7 | − | 1.29473e8i | −0.592031 | − | 1.29637i | −0.934207 | − | 0.356731i | \(-0.883891\pi\) |
0.342176 | − | 0.939636i | \(-0.388836\pi\) | |||||||
\(194\) | 3.86530e7 | − | 1.13495e7i | 0.380082 | − | 0.111602i | ||||
\(195\) | −2.87108e7 | + | 3.31341e7i | −0.277284 | + | 0.320003i | ||||
\(196\) | 2.45918e6 | − | 2.83804e6i | 0.0233289 | − | 0.0269230i | ||||
\(197\) | 5.66059e7 | − | 1.66210e7i | 0.527509 | − | 0.154891i | −0.00712460 | − | 0.999975i | \(-0.502268\pi\) |
0.534633 | + | 0.845084i | \(0.320450\pi\) | |||||||
\(198\) | −9.79003e6 | − | 2.14372e7i | −0.0896305 | − | 0.196263i | ||||
\(199\) | 7.08912e7 | − | 4.55590e7i | 0.637686 | − | 0.409816i | −0.181462 | − | 0.983398i | \(-0.558083\pi\) |
0.819148 | + | 0.573582i | \(0.194447\pi\) | |||||||
\(200\) | 3.15041e7 | + | 9.25044e6i | 0.278460 | + | 0.0817631i | ||||
\(201\) | −7.16257e6 | − | 4.98167e7i | −0.0622132 | − | 0.432702i | ||||
\(202\) | −8.62793e6 | + | 1.88925e7i | −0.0736507 | + | 0.161273i | ||||
\(203\) | 1.19568e7 | − | 8.31614e7i | 0.100318 | − | 0.697728i | ||||
\(204\) | −2.86899e6 | − | 1.84379e6i | −0.0236605 | − | 0.0152057i | ||||
\(205\) | 1.34410e8 | + | 1.55118e8i | 1.08967 | + | 1.25754i | ||||
\(206\) | −1.68117e8 | −1.33991 | ||||||||
\(207\) | −2.51135e7 | − | 3.43333e7i | −0.196793 | − | 0.269042i | ||||
\(208\) | −5.30084e7 | −0.408435 | ||||||||
\(209\) | −3.60420e7 | − | 4.15946e7i | −0.273084 | − | 0.315156i | ||||
\(210\) | 6.55465e7 | + | 4.21242e7i | 0.488407 | + | 0.313880i | ||||
\(211\) | 2.52085e7 | − | 1.75329e8i | 0.184739 | − | 1.28489i | −0.660634 | − | 0.750708i | \(-0.729712\pi\) |
0.845373 | − | 0.534177i | \(-0.179378\pi\) | |||||||
\(212\) | −2.99563e7 | + | 6.55952e7i | −0.215930 | + | 0.472820i | ||||
\(213\) | 1.23528e7 | + | 8.59155e7i | 0.0875863 | + | 0.609176i | ||||
\(214\) | −1.24699e7 | − | 3.66149e6i | −0.0869791 | − | 0.0255394i | ||||
\(215\) | −4.32942e7 | + | 2.78235e7i | −0.297095 | + | 0.190931i | ||||
\(216\) | −1.28703e7 | − | 2.81820e7i | −0.0868961 | − | 0.190276i | ||||
\(217\) | 3.11047e7 | − | 9.13318e6i | 0.206641 | − | 0.0606754i | ||||
\(218\) | −1.05020e8 | + | 1.21199e8i | −0.686551 | + | 0.792322i | ||||
\(219\) | 4.15445e7 | − | 4.79449e7i | 0.267275 | − | 0.308452i | ||||
\(220\) | −3.79025e7 | + | 1.11292e7i | −0.239987 | + | 0.0704666i | ||||
\(221\) | 7.31106e6 | + | 1.60090e7i | 0.0455625 | + | 0.0997680i | ||||
\(222\) | 4.56693e6 | − | 2.93499e6i | 0.0280149 | − | 0.0180041i | ||||
\(223\) | −2.39762e8 | − | 7.04004e7i | −1.44781 | − | 0.425117i | −0.538996 | − | 0.842308i | \(-0.681196\pi\) |
−0.908818 | + | 0.417192i | \(0.863014\pi\) | |||||||
\(224\) | −1.41691e7 | − | 9.85483e7i | −0.0842315 | − | 0.585843i | ||||
\(225\) | 6.31714e6 | − | 1.38326e7i | 0.0369727 | − | 0.0809590i | ||||
\(226\) | −3.34098e7 | + | 2.32370e8i | −0.192528 | + | 1.33906i | ||||
\(227\) | 1.07415e6 | + | 690315.i | 0.00609501 | + | 0.00391703i | 0.543685 | − | 0.839289i | \(-0.317029\pi\) |
−0.537590 | + | 0.843207i | \(0.680665\pi\) | |||||||
\(228\) | −1.06343e7 | − | 1.22726e7i | −0.0594205 | − | 0.0685749i | ||||
\(229\) | −2.66249e8 | −1.46509 | −0.732543 | − | 0.680721i | \(-0.761667\pi\) | ||||
−0.732543 | + | 0.680721i | \(0.761667\pi\) | |||||||
\(230\) | 1.54589e8 | − | 8.22041e7i | 0.837784 | − | 0.445499i | ||||
\(231\) | −8.80176e7 | −0.469816 | ||||||||
\(232\) | −9.00484e7 | − | 1.03921e8i | −0.473443 | − | 0.546383i | ||||
\(233\) | 2.89143e8 | + | 1.85821e8i | 1.49750 | + | 0.962386i | 0.995217 | + | 0.0976842i | \(0.0311435\pi\) |
0.502285 | + | 0.864702i | \(0.332493\pi\) | |||||||
\(234\) | −5.10679e6 | + | 3.55185e7i | −0.0260551 | + | 0.181217i | ||||
\(235\) | −1.37492e8 | + | 3.01066e8i | −0.691099 | + | 1.51330i | ||||
\(236\) | −6.05668e6 | − | 4.21251e7i | −0.0299946 | − | 0.208617i | ||||
\(237\) | 1.49267e8 | + | 4.38287e7i | 0.728356 | + | 0.213865i | ||||
\(238\) | 2.63118e7 | − | 1.69096e7i | 0.126512 | − | 0.0813043i | ||||
\(239\) | 1.18160e8 | + | 2.58734e8i | 0.559857 | + | 1.22592i | 0.952024 | + | 0.306022i | \(0.0989981\pi\) |
−0.392167 | + | 0.919894i | \(0.628275\pi\) | |||||||
\(240\) | 8.37117e7 | − | 2.45800e7i | 0.390883 | − | 0.114774i | ||||
\(241\) | −6.42887e7 | + | 7.41932e7i | −0.295852 | + | 0.341432i | −0.884142 | − | 0.467218i | \(-0.845256\pi\) |
0.588289 | + | 0.808650i | \(0.299802\pi\) | |||||||
\(242\) | 4.99491e7 | − | 5.76444e7i | 0.226555 | − | 0.261459i | ||||
\(243\) | −1.37677e7 | + | 4.04255e6i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −1.69167e7 | − | 3.70423e7i | −0.0745504 | − | 0.163243i | ||||
\(245\) | 2.68327e7 | − | 1.72443e7i | 0.116569 | − | 0.0749142i | ||||
\(246\) | 1.61185e8 | + | 4.73283e7i | 0.690324 | + | 0.202697i | ||||
\(247\) | 1.19263e7 | + | 8.29492e7i | 0.0503577 | + | 0.350246i | ||||
\(248\) | 2.20409e7 | − | 4.82628e7i | 0.0917589 | − | 0.200924i | ||||
\(249\) | 2.63988e6 | − | 1.83608e7i | 0.0108364 | − | 0.0753692i | ||||
\(250\) | −1.44552e8 | − | 9.28978e7i | −0.585104 | − | 0.376024i | ||||
\(251\) | 9.75052e7 | + | 1.12527e8i | 0.389197 | + | 0.449157i | 0.916209 | − | 0.400700i | \(-0.131233\pi\) |
−0.527012 | + | 0.849858i | \(0.676688\pi\) | |||||||
\(252\) | −2.59698e7 | −0.102227 | ||||||||
\(253\) | −9.67053e7 | + | 1.72535e8i | −0.375430 | + | 0.669814i | ||||
\(254\) | 1.21027e7 | 0.0463410 | ||||||||
\(255\) | −1.89691e7 | − | 2.18915e7i | −0.0716401 | − | 0.0826771i | ||||
\(256\) | −1.78048e8 | − | 1.14425e8i | −0.663281 | − | 0.426265i | ||||
\(257\) | −2.95448e7 | + | 2.05488e8i | −0.108571 | + | 0.755129i | 0.860696 | + | 0.509119i | \(0.170029\pi\) |
−0.969267 | + | 0.246010i | \(0.920880\pi\) | |||||||
\(258\) | −1.74979e7 | + | 3.83150e7i | −0.0634332 | + | 0.138899i | ||||
\(259\) | −2.88546e6 | − | 2.00688e7i | −0.0103197 | − | 0.0717749i | ||||
\(260\) | 5.77117e7 | + | 1.69457e7i | 0.203637 | + | 0.0597932i | ||||
\(261\) | −5.35756e7 | + | 3.44309e7i | −0.186520 | + | 0.119869i | ||||
\(262\) | 2.75371e7 | + | 6.02978e7i | 0.0945940 | + | 0.207132i | ||||
\(263\) | 1.76291e7 | − | 5.17637e6i | 0.0597565 | − | 0.0175461i | −0.251718 | − | 0.967801i | \(-0.580995\pi\) |
0.311474 | + | 0.950255i | \(0.399177\pi\) | |||||||
\(264\) | −9.43366e7 | + | 1.08870e8i | −0.315549 | + | 0.364163i | ||||
\(265\) | −4.01098e8 | + | 4.62892e8i | −1.32401 | + | 1.52798i | ||||
\(266\) | 1.42897e8 | − | 4.19583e7i | 0.465519 | − | 0.136689i | ||||
\(267\) | −7.46324e7 | − | 1.63422e8i | −0.239960 | − | 0.525438i | ||||
\(268\) | −5.80859e7 | + | 3.73295e7i | −0.184331 | + | 0.118462i | ||||
\(269\) | −4.14890e8 | − | 1.21823e8i | −1.29957 | − | 0.381588i | −0.442491 | − | 0.896773i | \(-0.645905\pi\) |
−0.857079 | + | 0.515185i | \(0.827723\pi\) | |||||||
\(270\) | −8.40519e6 | − | 5.84594e7i | −0.0259881 | − | 0.180751i | ||||
\(271\) | −8.21844e7 | + | 1.79959e8i | −0.250840 | + | 0.549263i | −0.992604 | − | 0.121398i | \(-0.961262\pi\) |
0.741764 | + | 0.670661i | \(0.233990\pi\) | |||||||
\(272\) | 4.98421e6 | − | 3.46659e7i | 0.0150178 | − | 0.104451i | ||||
\(273\) | 1.12744e8 | + | 7.24560e7i | 0.335369 | + | 0.215529i | ||||
\(274\) | 9.53357e7 | + | 1.10023e8i | 0.279981 | + | 0.323115i | ||||
\(275\) | −7.07071e7 | −0.205021 | ||||||||
\(276\) | −2.85332e7 | + | 5.09068e7i | −0.0816899 | + | 0.145745i | ||||
\(277\) | −2.32061e8 | −0.656030 | −0.328015 | − | 0.944673i | \(-0.606380\pi\) | ||||
−0.328015 | + | 0.944673i | \(0.606380\pi\) | |||||||
\(278\) | −2.42170e8 | − | 2.79479e8i | −0.676026 | − | 0.780176i | ||||
\(279\) | −2.06722e7 | − | 1.32852e7i | −0.0569865 | − | 0.0366230i | ||||
\(280\) | 6.77801e7 | − | 4.71421e8i | 0.184522 | − | 1.28338i | ||||
\(281\) | −1.58574e7 | + | 3.47229e7i | −0.0426345 | + | 0.0933564i | −0.929751 | − | 0.368189i | \(-0.879978\pi\) |
0.887116 | + | 0.461546i | \(0.152705\pi\) | |||||||
\(282\) | 3.85520e7 | + | 2.68135e8i | 0.102371 | + | 0.712003i | ||||
\(283\) | 3.09506e8 | + | 9.08792e7i | 0.811740 | + | 0.238348i | 0.661156 | − | 0.750249i | \(-0.270066\pi\) |
0.150584 | + | 0.988597i | \(0.451885\pi\) | |||||||
\(284\) | 1.00177e8 | − | 6.43796e7i | 0.259509 | − | 0.166776i | ||||
\(285\) | −5.72977e7 | − | 1.25464e8i | −0.146616 | − | 0.321043i | ||||
\(286\) | 1.60090e8 | − | 4.70067e7i | 0.404654 | − | 0.118817i | ||||
\(287\) | 4.10866e8 | − | 4.74165e8i | 1.02592 | − | 1.18398i | ||||
\(288\) | −4.94215e7 | + | 5.70355e7i | −0.121911 | + | 0.140693i | ||||
\(289\) | 3.82560e8 | − | 1.12330e8i | 0.932304 | − | 0.273749i | ||||
\(290\) | −1.08893e8 | − | 2.38443e8i | −0.262185 | − | 0.574105i | ||||
\(291\) | −9.59423e7 | + | 6.16584e7i | −0.228236 | + | 0.146679i | ||||
\(292\) | −8.35086e7 | − | 2.45203e7i | −0.196287 | − | 0.0576350i | ||||
\(293\) | −1.05289e8 | − | 7.32300e8i | −0.244538 | − | 1.70080i | −0.628795 | − | 0.777571i | \(-0.716451\pi\) |
0.384257 | − | 0.923226i | \(-0.374458\pi\) | |||||||
\(294\) | 1.08448e7 | − | 2.37467e7i | 0.0248888 | − | 0.0544989i | ||||
\(295\) | 5.14434e7 | − | 3.57797e8i | 0.116668 | − | 0.811446i | ||||
\(296\) | −2.79160e7 | − | 1.79405e7i | −0.0625652 | − | 0.0402082i | ||||
\(297\) | 4.36911e7 | + | 5.04222e7i | 0.0967710 | + | 0.111680i | ||||
\(298\) | 1.13832e8 | 0.249177 | ||||||||
\(299\) | 2.65902e8 | − | 1.41396e8i | 0.575272 | − | 0.305906i | ||||
\(300\) | −2.08623e7 | −0.0446107 | ||||||||
\(301\) | 1.03020e8 | + | 1.18891e8i | 0.217739 | + | 0.251285i | ||||
\(302\) | 5.42308e8 | + | 3.48520e8i | 1.13298 | + | 0.728122i | ||||
\(303\) | 8.36791e6 | − | 5.82001e7i | 0.0172810 | − | 0.120192i | ||||
\(304\) | 6.92764e7 | − | 1.51694e8i | 0.141425 | − | 0.309679i | ||||
\(305\) | −4.92241e7 | − | 3.42361e8i | −0.0993410 | − | 0.690932i | ||||
\(306\) | −2.27479e7 | − | 6.67937e6i | −0.0453853 | − | 0.0133263i | ||||
\(307\) | 6.65543e8 | − | 4.27718e8i | 1.31278 | − | 0.843672i | 0.318238 | − | 0.948011i | \(-0.396909\pi\) |
0.994542 | + | 0.104339i | \(0.0332727\pi\) | |||||||
\(308\) | 5.01622e7 | + | 1.09840e8i | 0.0978248 | + | 0.214206i | ||||
\(309\) | 4.56663e8 | − | 1.34088e8i | 0.880524 | − | 0.258545i | ||||
\(310\) | 6.62349e7 | − | 7.64391e7i | 0.126276 | − | 0.145730i | ||||
\(311\) | −2.68534e8 | + | 3.09905e8i | −0.506219 | + | 0.584208i | −0.950127 | − | 0.311865i | \(-0.899046\pi\) |
0.443907 | + | 0.896073i | \(0.353592\pi\) | |||||||
\(312\) | 2.10460e8 | − | 6.17966e7i | 0.392309 | − | 0.115192i | ||||
\(313\) | 4.24985e8 | + | 9.30587e8i | 0.783372 | + | 1.71535i | 0.694717 | + | 0.719283i | \(0.255530\pi\) |
0.0886555 | + | 0.996062i | \(0.471743\pi\) | |||||||
\(314\) | −5.79909e8 | + | 3.72685e8i | −1.05708 | + | 0.679342i | ||||
\(315\) | −2.11644e8 | − | 6.21444e7i | −0.381522 | − | 0.112025i | ||||
\(316\) | −3.03736e7 | − | 2.11253e8i | −0.0541492 | − | 0.376616i | ||||
\(317\) | 6.25131e7 | − | 1.36885e8i | 0.110221 | − | 0.241350i | −0.846481 | − | 0.532418i | \(-0.821283\pi\) |
0.956702 | + | 0.291068i | \(0.0940107\pi\) | |||||||
\(318\) | −7.13432e7 | + | 4.96203e8i | −0.124411 | + | 0.865296i | ||||
\(319\) | 2.49110e8 | + | 1.60094e8i | 0.429660 | + | 0.276125i | ||||
\(320\) | −4.74277e8 | − | 5.47345e8i | −0.809109 | − | 0.933762i | ||||
\(321\) | 3.67929e7 | 0.0620863 | ||||||||
\(322\) | −3.15976e8 | − | 4.31979e8i | −0.527422 | − | 0.721053i | ||||
\(323\) | −5.53677e7 | −0.0914213 | ||||||||
\(324\) | 1.28912e7 | + | 1.48772e7i | 0.0210565 | + | 0.0243004i | ||||
\(325\) | 9.05704e7 | + | 5.82061e7i | 0.146351 | + | 0.0940538i | ||||
\(326\) | 5.77490e6 | − | 4.01653e7i | 0.00923172 | − | 0.0642080i | ||||
\(327\) | 1.88602e8 | − | 4.12980e8i | 0.298283 | − | 0.653149i | ||||
\(328\) | −1.46138e8 | − | 1.01641e9i | −0.228668 | − | 1.59042i | ||||
\(329\) | 9.70747e8 | + | 2.85037e8i | 1.50287 | + | 0.441282i | ||||
\(330\) | −2.31020e8 | + | 1.48467e8i | −0.353876 | + | 0.227422i | ||||
\(331\) | −3.19680e7 | − | 7.00001e7i | −0.0484526 | − | 0.106096i | 0.883858 | − | 0.467756i | \(-0.154937\pi\) |
−0.932310 | + | 0.361660i | \(0.882210\pi\) | |||||||
\(332\) | −2.44175e7 | + | 7.16963e6i | −0.0366200 | + | 0.0107526i | ||||
\(333\) | −1.00644e7 | + | 1.16149e7i | −0.0149360 | + | 0.0172370i | ||||
\(334\) | −3.09816e7 | + | 3.57546e7i | −0.0454978 | + | 0.0525073i | ||||
\(335\) | −5.62705e8 | + | 1.65225e8i | −0.817756 | + | 0.240115i | ||||
\(336\) | −1.10789e8 | − | 2.42593e8i | −0.159334 | − | 0.348892i | ||||
\(337\) | −4.09714e8 | + | 2.63307e8i | −0.583145 | + | 0.374764i | −0.798702 | − | 0.601727i | \(-0.794480\pi\) |
0.215557 | + | 0.976491i | \(0.430843\pi\) | |||||||
\(338\) | 3.30446e8 | + | 9.70276e7i | 0.465470 | + | 0.136674i | ||||
\(339\) | −9.45836e7 | − | 6.57843e8i | −0.131861 | − | 0.917115i | ||||
\(340\) | −1.65084e7 | + | 3.61483e7i | −0.0227787 | + | 0.0498784i | ||||
\(341\) | −1.62605e7 | + | 1.13095e8i | −0.0222072 | + | 0.154455i | ||||
\(342\) | −9.49692e7 | − | 6.10330e7i | −0.128378 | − | 0.0825037i | ||||
\(343\) | 4.54817e8 | + | 5.24887e8i | 0.608566 | + | 0.702322i | ||||
\(344\) | 2.57474e8 | 0.341019 | ||||||||
\(345\) | −3.54352e8 | + | 3.46593e8i | −0.464588 | + | 0.454415i | ||||
\(346\) | −8.94735e8 | −1.16126 | ||||||||
\(347\) | 3.09102e8 | + | 3.56723e8i | 0.397145 | + | 0.458329i | 0.918740 | − | 0.394864i | \(-0.129208\pi\) |
−0.521595 | + | 0.853193i | \(0.674663\pi\) | |||||||
\(348\) | 7.35008e7 | + | 4.72361e7i | 0.0934898 | + | 0.0600823i | ||||
\(349\) | 7.28872e7 | − | 5.06941e8i | 0.0917830 | − | 0.638365i | −0.891055 | − | 0.453895i | \(-0.850034\pi\) |
0.982838 | − | 0.184470i | \(-0.0590568\pi\) | |||||||
\(350\) | 7.94817e7 | − | 1.74041e8i | 0.0990898 | − | 0.216976i | ||||
\(351\) | −1.44574e7 | − | 1.00553e8i | −0.0178449 | − | 0.124114i | ||||
\(352\) | 3.36693e8 | + | 9.88620e7i | 0.411467 | + | 0.120818i | ||||
\(353\) | −9.15545e8 | + | 5.88385e8i | −1.10782 | + | 0.711951i | −0.960817 | − | 0.277185i | \(-0.910599\pi\) |
−0.147001 | + | 0.989136i | \(0.546962\pi\) | |||||||
\(354\) | −1.22903e8 | − | 2.69120e8i | −0.147249 | − | 0.322430i | ||||
\(355\) | 9.70458e8 | − | 2.84952e8i | 1.15127 | − | 0.338044i | ||||
\(356\) | −1.61406e8 | + | 1.86272e8i | −0.189603 | + | 0.218813i | ||||
\(357\) | −5.79849e7 | + | 6.69182e7i | −0.0674491 | + | 0.0778405i | ||||
\(358\) | 2.12298e8 | − | 6.23362e7i | 0.244543 | − | 0.0718042i | ||||
\(359\) | 5.18512e8 | + | 1.13538e9i | 0.591464 | + | 1.29513i | 0.934553 | + | 0.355823i | \(0.115800\pi\) |
−0.343089 | + | 0.939303i | \(0.611473\pi\) | |||||||
\(360\) | −3.03706e8 | + | 1.95180e8i | −0.343080 | + | 0.220484i | ||||
\(361\) | 6.04702e8 | + | 1.77556e8i | 0.676497 | + | 0.198638i | ||||
\(362\) | 1.41724e8 | + | 9.85711e8i | 0.157023 | + | 1.09212i | ||||
\(363\) | −8.97022e7 | + | 1.96420e8i | −0.0984306 | + | 0.215533i | ||||
\(364\) | 2.61662e7 | − | 1.81990e8i | 0.0284371 | − | 0.197785i | ||||
\(365\) | −6.21888e8 | − | 3.99663e8i | −0.669402 | − | 0.430198i | ||||
\(366\) | −1.85386e8 | − | 2.13947e8i | −0.197649 | − | 0.228099i | ||||
\(367\) | −6.23264e7 | −0.0658174 | −0.0329087 | − | 0.999458i | \(-0.510477\pi\) | ||||
−0.0329087 | + | 0.999458i | \(0.510477\pi\) | |||||||
\(368\) | −5.97262e8 | − | 4.93672e7i | −0.624738 | − | 0.0516382i | ||||
\(369\) | −4.75583e8 | −0.492758 | ||||||||
\(370\) | −4.14254e7 | − | 4.78075e7i | −0.0425168 | − | 0.0490670i | ||||
\(371\) | 1.57506e9 | + | 1.01223e9i | 1.60136 | + | 1.02913i | ||||
\(372\) | −4.79772e6 | + | 3.33689e7i | −0.00483208 | + | 0.0336079i | ||||
\(373\) | −6.66578e8 | + | 1.45960e9i | −0.665075 | + | 1.45631i | 0.212642 | + | 0.977130i | \(0.431793\pi\) |
−0.877717 | + | 0.479180i | \(0.840934\pi\) | |||||||
\(374\) | 1.56882e7 | + | 1.09114e8i | 0.0155068 | + | 0.107853i | ||||
\(375\) | 4.66746e8 | + | 1.37049e8i | 0.457058 | + | 0.134204i | ||||
\(376\) | 1.39301e9 | − | 8.95231e8i | 1.35144 | − | 0.868516i | ||||
\(377\) | −1.87302e8 | − | 4.10135e8i | −0.180032 | − | 0.394214i | ||||
\(378\) | −1.73224e8 | + | 5.08631e7i | −0.164963 | + | 0.0484375i | ||||
\(379\) | 8.26103e8 | − | 9.53373e8i | 0.779465 | − | 0.899551i | −0.217605 | − | 0.976037i | \(-0.569825\pi\) |
0.997071 | + | 0.0764860i | \(0.0243701\pi\) | |||||||
\(380\) | −1.23916e8 | + | 1.43007e8i | −0.115847 | + | 0.133695i | ||||
\(381\) | −3.28751e7 | + | 9.65301e6i | −0.0304530 | + | 0.00894181i | ||||
\(382\) | 4.95964e7 | + | 1.08601e8i | 0.0455228 | + | 0.0996810i | ||||
\(383\) | −1.73117e9 | + | 1.11255e9i | −1.57450 | + | 1.01187i | −0.596668 | + | 0.802488i | \(0.703509\pi\) |
−0.977834 | + | 0.209383i | \(0.932855\pi\) | |||||||
\(384\) | −2.25471e8 | − | 6.62042e7i | −0.203203 | − | 0.0596659i | ||||
\(385\) | 1.45962e8 | + | 1.01519e9i | 0.130355 | + | 0.906638i | ||||
\(386\) | −5.63919e8 | + | 1.23481e9i | −0.499070 | + | 1.09281i | ||||
\(387\) | 1.69705e7 | − | 1.18033e8i | 0.0148836 | − | 0.103518i | ||||
\(388\) | 1.31624e8 | + | 8.45896e7i | 0.114400 | + | 0.0735201i | ||||
\(389\) | −7.78722e8 | − | 8.98693e8i | −0.670747 | − | 0.774083i | 0.313746 | − | 0.949507i | \(-0.398416\pi\) |
−0.984493 | + | 0.175424i | \(0.943870\pi\) | |||||||
\(390\) | 4.18137e8 | 0.356938 | ||||||||
\(391\) | 6.74667e7 | + | 1.87187e8i | 0.0570783 | + | 0.158364i | ||||
\(392\) | −1.59576e8 | −0.133803 | ||||||||
\(393\) | −1.22893e8 | − | 1.41826e8i | −0.102130 | − | 0.117864i | ||||
\(394\) | −4.73335e8 | − | 3.04194e8i | −0.389880 | − | 0.250561i | ||||
\(395\) | 2.57984e8 | − | 1.79431e9i | 0.210621 | − | 1.46490i | ||||
\(396\) | 3.80234e7 | − | 8.32597e7i | 0.0307693 | − | 0.0673754i | ||||
\(397\) | −2.03136e8 | − | 1.41284e9i | −0.162937 | − | 1.13325i | −0.893061 | − | 0.449936i | \(-0.851447\pi\) |
0.730124 | − | 0.683315i | \(-0.239462\pi\) | |||||||
\(398\) | −7.71132e8 | − | 2.26425e8i | −0.613110 | − | 0.180025i | ||||
\(399\) | −3.54691e8 | + | 2.27946e8i | −0.279541 | + | 0.179650i | ||||
\(400\) | −8.89998e7 | − | 1.94882e8i | −0.0695311 | − | 0.152252i | ||||
\(401\) | −1.76041e9 | + | 5.16904e8i | −1.36336 | + | 0.400318i | −0.879945 | − | 0.475075i | \(-0.842421\pi\) |
−0.483412 | + | 0.875393i | \(0.660603\pi\) | |||||||
\(402\) | −3.14332e8 | + | 3.62759e8i | −0.241323 | + | 0.278501i | ||||
\(403\) | 1.13928e8 | − | 1.31480e8i | 0.0867086 | − | 0.100067i | ||||
\(404\) | −7.73987e7 | + | 2.27263e7i | −0.0583981 | + | 0.0171472i | ||||
\(405\) | 6.94579e7 | + | 1.52092e8i | 0.0519552 | + | 0.113766i | ||||
\(406\) | −6.74083e8 | + | 4.33207e8i | −0.499888 | + | 0.321258i | ||||
\(407\) | 6.85656e7 | + | 2.01327e7i | 0.0504111 | + | 0.0148020i | ||||
\(408\) | 2.06243e7 | + | 1.43445e8i | 0.0150338 | + | 0.104562i | ||||
\(409\) | 3.21947e8 | − | 7.04965e8i | 0.232676 | − | 0.509490i | −0.756894 | − | 0.653537i | \(-0.773284\pi\) |
0.989571 | + | 0.144047i | \(0.0460116\pi\) | |||||||
\(410\) | 2.78583e8 | − | 1.93759e9i | 0.199623 | − | 1.38841i | ||||
\(411\) | −3.46717e8 | − | 2.22822e8i | −0.246337 | − | 0.158311i | ||||
\(412\) | −4.27590e8 | − | 4.93466e8i | −0.301223 | − | 0.347629i | ||||
\(413\) | −1.10496e9 | −0.771832 | ||||||||
\(414\) | −9.06185e7 | + | 3.95442e8i | −0.0627647 | + | 0.273893i | ||||
\(415\) | −2.16150e8 | −0.148452 | ||||||||
\(416\) | −3.49895e8 | − | 4.03800e8i | −0.238293 | − | 0.275004i | ||||
\(417\) | 8.80725e8 | + | 5.66008e8i | 0.594791 | + | 0.382249i | ||||
\(418\) | −7.47018e7 | + | 5.19563e8i | −0.0500281 | + | 0.347953i | ||||
\(419\) | 7.62570e8 | − | 1.66980e9i | 0.506443 | − | 1.10896i | −0.467878 | − | 0.883793i | \(-0.654981\pi\) |
0.974321 | − | 0.225163i | \(-0.0722914\pi\) | |||||||
\(420\) | 4.30665e7 | + | 2.99534e8i | 0.0283640 | + | 0.197276i | ||||
\(421\) | 7.16238e8 | + | 2.10306e8i | 0.467811 | + | 0.137362i | 0.507138 | − | 0.861865i | \(-0.330703\pi\) |
−0.0393275 | + | 0.999226i | \(0.512522\pi\) | |||||||
\(422\) | −1.42117e9 | + | 9.13327e8i | −0.920558 | + | 0.591606i | ||||
\(423\) | −3.18582e8 | − | 6.97597e8i | −0.204659 | − | 0.448140i | ||||
\(424\) | 2.94018e9 | − | 8.63315e8i | 1.87324 | − | 0.550033i | ||||
\(425\) | −4.65810e7 | + | 5.37574e7i | −0.0294339 | + | 0.0339685i | ||||
\(426\) | 5.42107e8 | − | 6.25625e8i | 0.339744 | − | 0.392085i | ||||
\(427\) | −1.01447e9 | + | 2.97874e8i | −0.630580 | + | 0.185155i | ||||
\(428\) | −2.09687e7 | − | 4.59150e7i | −0.0129276 | − | 0.0283075i | ||||
\(429\) | −3.97367e8 | + | 2.55372e8i | −0.242992 | + | 0.156161i | ||||
\(430\) | 4.70940e8 | + | 1.38281e8i | 0.285645 | + | 0.0838729i | ||||
\(431\) | 1.65613e8 | + | 1.15186e9i | 0.0996375 | + | 0.692994i | 0.977011 | + | 0.213187i | \(0.0683843\pi\) |
−0.877374 | + | 0.479807i | \(0.840707\pi\) | |||||||
\(432\) | −8.39788e7 | + | 1.83888e8i | −0.0501160 | + | 0.109739i | ||||
\(433\) | −1.35585e8 | + | 9.43011e8i | −0.0802606 | + | 0.558225i | 0.909524 | + | 0.415652i | \(0.136447\pi\) |
−0.989784 | + | 0.142573i | \(0.954462\pi\) | |||||||
\(434\) | −2.60096e8 | − | 1.67153e8i | −0.152728 | − | 0.0981525i | ||||
\(435\) | 4.85970e8 | + | 5.60839e8i | 0.283072 | + | 0.326683i | ||||
\(436\) | −6.22857e8 | −0.359903 | ||||||||
\(437\) | 5.71259e7 | + | 9.45721e8i | 0.0327452 | + | 0.542098i | ||||
\(438\) | −6.05043e8 | −0.344054 | ||||||||
\(439\) | 1.62607e9 | + | 1.87659e9i | 0.917307 | + | 1.05863i | 0.998083 | + | 0.0618965i | \(0.0197149\pi\) |
−0.0807755 | + | 0.996732i | \(0.525740\pi\) | |||||||
\(440\) | 1.41214e9 | + | 9.07529e8i | 0.790304 | + | 0.507898i | ||||
\(441\) | −1.05179e7 | + | 7.31538e7i | −0.00583976 | + | 0.0406164i | ||||
\(442\) | 6.97272e7 | − | 1.52681e8i | 0.0384082 | − | 0.0841023i | ||||
\(443\) | −3.61786e8 | − | 2.51628e9i | −0.197715 | − | 1.37514i | −0.810894 | − | 0.585192i | \(-0.801019\pi\) |
0.613180 | − | 0.789943i | \(-0.289890\pi\) | |||||||
\(444\) | 2.02305e7 | + | 5.94021e6i | 0.0109690 | + | 0.00322078i | ||||
\(445\) | −1.76114e9 | + | 1.13181e9i | −0.947398 | + | 0.608856i | ||||
\(446\) | 9.90015e8 | + | 2.16783e9i | 0.528409 | + | 1.15705i | ||||
\(447\) | −3.09206e8 | + | 9.07912e7i | −0.163747 | + | 0.0480803i | ||||
\(448\) | −1.44977e9 | + | 1.67313e9i | −0.761776 | + | 0.879137i | ||||
\(449\) | 2.32670e9 | − | 2.68516e9i | 1.21305 | − | 1.39993i | 0.321562 | − | 0.946888i | \(-0.395792\pi\) |
0.891487 | − | 0.453045i | \(-0.149662\pi\) | |||||||
\(450\) | −1.39156e8 | + | 4.08598e7i | −0.0719876 | + | 0.0211375i | ||||
\(451\) | 9.18615e8 | + | 2.01149e9i | 0.471537 | + | 1.03252i | ||||
\(452\) | −7.67039e8 | + | 4.92946e8i | −0.390691 | + | 0.251082i | ||||
\(453\) | −1.75107e9 | − | 5.14160e8i | −0.885033 | − | 0.259869i | ||||
\(454\) | −1.73305e6 | − | 1.20536e7i | −0.000869190 | − | 0.00604535i | ||||
\(455\) | 6.48736e8 | − | 1.42053e9i | 0.322870 | − | 0.706987i | ||||
\(456\) | −9.82054e7 | + | 6.83034e8i | −0.0485019 | + | 0.337338i | ||||
\(457\) | −1.08748e9 | − | 6.98882e8i | −0.532985 | − | 0.342529i | 0.246304 | − | 0.969193i | \(-0.420784\pi\) |
−0.779290 | + | 0.626664i | \(0.784420\pi\) | |||||||
\(458\) | 1.66287e9 | + | 1.91905e9i | 0.808777 | + | 0.933378i | ||||
\(459\) | 6.71183e7 | 0.0323964 | ||||||||
\(460\) | 6.34474e8 | + | 2.44680e8i | 0.303921 | + | 0.117205i | ||||
\(461\) | −1.95267e9 | −0.928273 | −0.464137 | − | 0.885764i | \(-0.653635\pi\) | ||||
−0.464137 | + | 0.885764i | \(0.653635\pi\) | |||||||
\(462\) | 5.49718e8 | + | 6.34408e8i | 0.259354 | + | 0.299310i | ||||
\(463\) | −1.45714e9 | − | 9.36446e8i | −0.682287 | − | 0.438479i | 0.153049 | − | 0.988219i | \(-0.451091\pi\) |
−0.835336 | + | 0.549739i | \(0.814727\pi\) | |||||||
\(464\) | −1.27691e8 | + | 8.88107e8i | −0.0593398 | + | 0.412717i | ||||
\(465\) | −1.18949e8 | + | 2.60463e8i | −0.0548627 | + | 0.120132i | ||||
\(466\) | −4.66507e8 | − | 3.24463e9i | −0.213554 | − | 1.48530i | ||||
\(467\) | 3.86910e9 | + | 1.13607e9i | 1.75793 | + | 0.516174i | 0.991943 | − | 0.126684i | \(-0.0404335\pi\) |
0.765985 | + | 0.642858i | \(0.222252\pi\) | |||||||
\(468\) | −1.17244e8 | + | 7.53484e7i | −0.0528727 | + | 0.0339792i | ||||
\(469\) | 7.44714e8 | + | 1.63070e9i | 0.333338 | + | 0.729908i | ||||
\(470\) | 3.02872e9 | − | 8.89313e8i | 1.34560 | − | 0.395105i | ||||
\(471\) | 1.27798e9 | − | 1.47487e9i | 0.563574 | − | 0.650399i | ||||
\(472\) | −1.18429e9 | + | 1.36675e9i | −0.518397 | + | 0.598262i | ||||
\(473\) | −5.32001e8 | + | 1.56210e8i | −0.231153 | + | 0.0678725i | ||||
\(474\) | −6.16347e8 | − | 1.34961e9i | −0.265828 | − | 0.582082i | ||||
\(475\) | −2.84934e8 | + | 1.83116e8i | −0.121988 | + | 0.0783968i | ||||
\(476\) | 1.16556e8 | + | 3.42238e7i | 0.0495346 | + | 0.0145447i | ||||
\(477\) | −2.01974e8 | − | 1.40476e9i | −0.0852081 | − | 0.592635i | ||||
\(478\) | 1.12692e9 | − | 2.46760e9i | 0.471948 | − | 1.03342i | ||||
\(479\) | 4.27126e8 | − | 2.97073e9i | 0.177575 | − | 1.23506i | −0.684777 | − | 0.728752i | \(-0.740101\pi\) |
0.862352 | − | 0.506309i | \(-0.168990\pi\) | |||||||
\(480\) | 7.39800e8 | + | 4.75441e8i | 0.305330 | + | 0.196224i | ||||
\(481\) | −7.12540e7 | − | 8.22315e7i | −0.0291945 | − | 0.0336923i | ||||
\(482\) | 9.36284e8 | 0.380840 | ||||||||
\(483\) | 1.20284e9 | + | 9.21383e8i | 0.485727 | + | 0.372070i | ||||
\(484\) | 2.96242e8 | 0.118765 | ||||||||
\(485\) | 8.70268e8 | + | 1.00434e9i | 0.346383 | + | 0.399747i | ||||
\(486\) | 1.15124e8 | + | 7.39859e7i | 0.0454926 | + | 0.0292363i | ||||
\(487\) | 2.37503e8 | − | 1.65187e9i | 0.0931788 | − | 0.648072i | −0.888690 | − | 0.458509i | \(-0.848384\pi\) |
0.981868 | − | 0.189563i | \(-0.0607073\pi\) | |||||||
\(488\) | −7.18854e8 | + | 1.57407e9i | −0.280008 | + | 0.613133i | ||||
\(489\) | 1.63488e7 | + | 1.13709e8i | 0.00632274 | + | 0.0439756i | ||||
\(490\) | −2.91877e8 | − | 8.57029e7i | −0.112076 | − | 0.0329086i | ||||
\(491\) | 1.10637e9 | − | 7.11022e8i | 0.421809 | − | 0.271080i | −0.312470 | − | 0.949927i | \(-0.601157\pi\) |
0.734280 | + | 0.678847i | \(0.237520\pi\) | |||||||
\(492\) | 2.71040e8 | + | 5.93495e8i | 0.102602 | + | 0.224667i | ||||
\(493\) | 2.85827e8 | − | 8.39265e7i | 0.107433 | − | 0.0315453i | ||||
\(494\) | 5.23391e8 | − | 6.04025e8i | 0.195336 | − | 0.225429i | ||||
\(495\) | 5.09112e8 | − | 5.87547e8i | 0.188667 | − | 0.217733i | ||||
\(496\) | −3.32177e8 | + | 9.75361e7i | −0.122232 | + | 0.0358905i | ||||
\(497\) | −1.28436e9 | − | 2.81235e9i | −0.469287 | − | 1.02759i | ||||
\(498\) | −1.48827e8 | + | 9.56456e7i | −0.0539983 | + | 0.0347026i | ||||
\(499\) | −2.81754e9 | − | 8.27305e8i | −1.01512 | − | 0.298067i | −0.268475 | − | 0.963287i | \(-0.586520\pi\) |
−0.746648 | + | 0.665220i | \(0.768338\pi\) | |||||||
\(500\) | −9.49760e7 | − | 6.60573e8i | −0.0339796 | − | 0.236334i | ||||
\(501\) | 5.56389e7 | − | 1.21832e8i | 0.0197673 | − | 0.0432843i | ||||
\(502\) | 2.02093e8 | − | 1.40558e9i | 0.0712997 | − | 0.495900i | ||||
\(503\) | −1.52964e9 | − | 9.83039e8i | −0.535921 | − | 0.344416i | 0.244521 | − | 0.969644i | \(-0.421369\pi\) |
−0.780442 | + | 0.625228i | \(0.785006\pi\) | |||||||
\(504\) | 7.22677e8 | + | 8.34013e8i | 0.251442 | + | 0.290179i | ||||
\(505\) | −6.85152e8 | −0.236738 | ||||||||
\(506\) | 1.84756e9 | − | 3.80546e8i | 0.633976 | − | 0.130581i | ||||
\(507\) | −9.74991e8 | −0.332256 | ||||||||
\(508\) | 3.07822e7 | + | 3.55246e7i | 0.0104178 | + | 0.0120228i | ||||
\(509\) | −1.31358e9 | − | 8.44187e8i | −0.441514 | − | 0.283744i | 0.300937 | − | 0.953644i | \(-0.402701\pi\) |
−0.742451 | + | 0.669900i | \(0.766337\pi\) | |||||||
\(510\) | −3.93160e7 | + | 2.73449e8i | −0.0131242 | + | 0.0912810i | ||||
\(511\) | −9.38719e8 | + | 2.05551e9i | −0.311216 | + | 0.681469i | ||||
\(512\) | 4.45807e8 | + | 3.10066e9i | 0.146792 | + | 1.02096i | ||||
\(513\) | 3.06648e8 | + | 9.00399e7i | 0.100283 | + | 0.0294459i | ||||
\(514\) | 1.66563e9 | − | 1.07044e9i | 0.541013 | − | 0.347688i | ||||
\(515\) | −2.30386e9 | − | 5.04476e9i | −0.743244 | − | 1.62748i | ||||
\(516\) | −1.56968e8 | + | 4.60901e7i | −0.0502966 | + | 0.0147684i | ||||
\(517\) | −2.33514e9 | + | 2.69490e9i | −0.743184 | + | 0.857680i | ||||
\(518\) | −1.26630e8 | + | 1.46138e8i | −0.0400296 | + | 0.0461966i | ||||
\(519\) | 2.43040e9 | − | 7.13631e8i | 0.763119 | − | 0.224072i | ||||
\(520\) | −1.06177e9 | − | 2.32495e9i | −0.331145 | − | 0.725107i | ||||
\(521\) | −1.16414e9 | + | 7.48148e8i | −0.360640 | + | 0.231769i | −0.708395 | − | 0.705816i | \(-0.750580\pi\) |
0.347755 | + | 0.937585i | \(0.386944\pi\) | |||||||
\(522\) | 5.82778e8 | + | 1.71119e8i | 0.179331 | + | 0.0526565i | ||||
\(523\) | −1.92619e8 | − | 1.33970e9i | −0.0588768 | − | 0.409497i | −0.997852 | − | 0.0655116i | \(-0.979132\pi\) |
0.938975 | − | 0.343985i | \(-0.111777\pi\) | |||||||
\(524\) | −1.06951e8 | + | 2.34190e8i | −0.0324733 | + | 0.0711065i | ||||
\(525\) | −7.70863e7 | + | 5.36147e8i | −0.0232498 | + | 0.161706i | ||||
\(526\) | −1.47413e8 | − | 9.47369e7i | −0.0441659 | − | 0.0283837i | ||||
\(527\) | 7.52715e7 | + | 8.68679e7i | 0.0224023 | + | 0.0258537i | ||||
\(528\) | 9.39967e8 | 0.277904 | ||||||||
\(529\) | 3.12769e9 | − | 1.34551e9i | 0.918604 | − | 0.395178i | ||||
\(530\) | 5.84148e9 | 1.70435 | ||||||||
\(531\) | 5.48494e8 | + | 6.32996e8i | 0.158979 | + | 0.183472i | ||||
\(532\) | 4.86603e8 | + | 3.12721e8i | 0.140115 | + | 0.0900464i | ||||
\(533\) | 4.79179e8 | − | 3.33276e9i | 0.137073 | − | 0.953365i | ||||
\(534\) | −7.11785e8 | + | 1.55859e9i | −0.202281 | + | 0.442933i | ||||
\(535\) | −6.10147e7 | − | 4.24366e8i | −0.0172265 | − | 0.119813i | ||||
\(536\) | 2.81521e9 | + | 8.26621e8i | 0.789650 | + | 0.231862i | ||||
\(537\) | −5.26954e8 | + | 3.38653e8i | −0.146846 | + | 0.0943723i | ||||
\(538\) | 1.71315e9 | + | 3.75127e9i | 0.474304 | + | 1.03858i | ||||
\(539\) | 3.29721e8 | − | 9.68149e7i | 0.0906956 | − | 0.0266306i | ||||
\(540\) | 1.50215e8 | − | 1.73357e8i | 0.0410521 | − | 0.0473766i | ||||
\(541\) | −1.66803e9 | + | 1.92501e9i | −0.452913 | + | 0.522689i | −0.935580 | − | 0.353114i | \(-0.885123\pi\) |
0.482667 | + | 0.875804i | \(0.339668\pi\) | |||||||
\(542\) | 1.81038e9 | − | 5.31577e8i | 0.488397 | − | 0.143406i | ||||
\(543\) | −1.17116e9 | − | 2.56449e9i | −0.313919 | − | 0.687387i | ||||
\(544\) | 2.96972e8 | − | 1.90853e8i | 0.0790897 | − | 0.0508279i | ||||
\(545\) | −5.07605e9 | − | 1.49046e9i | −1.34319 | − | 0.394397i | ||||
\(546\) | −1.81902e8 | − | 1.26515e9i | −0.0478259 | − | 0.332636i | ||||
\(547\) | 1.90175e9 | − | 4.16424e9i | 0.496818 | − | 1.08788i | −0.480673 | − | 0.876900i | \(-0.659608\pi\) |
0.977491 | − | 0.210979i | \(-0.0676651\pi\) | |||||||
\(548\) | −8.04681e7 | + | 5.59668e8i | −0.0208878 | + | 0.145278i | ||||
\(549\) | 6.74214e8 | + | 4.33291e8i | 0.173898 | + | 0.111757i | ||||
\(550\) | 4.41605e8 | + | 5.09639e8i | 0.113179 | + | 0.130615i | ||||
\(551\) | 1.41847e9 | 0.361234 | ||||||||
\(552\) | 2.42887e9 | − | 5.00278e8i | 0.614635 | − | 0.126597i | ||||
\(553\) | −5.54128e9 | −1.39339 | ||||||||
\(554\) | 1.44935e9 | + | 1.67264e9i | 0.362151 | + | 0.417944i | ||||
\(555\) | 1.50656e8 | + | 9.68208e7i | 0.0374077 | + | 0.0240405i | ||||
\(556\) | 2.04404e8 | − | 1.42166e9i | 0.0504344 | − | 0.350779i | ||||
\(557\) | −1.14998e9 | + | 2.51811e9i | −0.281967 | + | 0.617422i | −0.996628 | − | 0.0820489i | \(-0.973854\pi\) |
0.714661 | + | 0.699471i | \(0.246581\pi\) | |||||||
\(558\) | 3.33527e7 | + | 2.31973e8i | 0.00812665 | + | 0.0565221i | ||||
\(559\) | 8.10044e8 | + | 2.37850e8i | 0.196140 | + | 0.0575920i | ||||
\(560\) | −2.61433e9 | + | 1.68013e9i | −0.629075 | + | 0.404282i | ||||
\(561\) | −1.29643e8 | − | 2.83878e8i | −0.0310012 | − | 0.0678831i | ||||
\(562\) | 3.49312e8 | − | 1.02567e8i | 0.0830113 | − | 0.0243743i | ||||
\(563\) | −2.72214e9 | + | 3.14152e9i | −0.642881 | + | 0.741925i | −0.979882 | − | 0.199580i | \(-0.936042\pi\) |
0.337000 | + | 0.941505i | \(0.390588\pi\) | |||||||
\(564\) | −6.88990e8 | + | 7.95137e8i | −0.161710 | + | 0.186623i | ||||
\(565\) | −7.43067e9 | + | 2.18184e9i | −1.73324 | + | 0.508925i | ||||
\(566\) | −1.27800e9 | − | 2.79843e9i | −0.296261 | − | 0.648720i | ||||
\(567\) | 4.29967e8 | − | 2.76323e8i | 0.0990590 | − | 0.0636614i | ||||
\(568\) | −4.85520e9 | − | 1.42562e9i | −1.11170 | − | 0.326425i | ||||
\(569\) | 4.50460e8 | + | 3.13302e9i | 0.102509 | + | 0.712968i | 0.974654 | + | 0.223719i | \(0.0718198\pi\) |
−0.872144 | + | 0.489249i | \(0.837271\pi\) | |||||||
\(570\) | −5.46460e8 | + | 1.19658e9i | −0.123594 | + | 0.270633i | ||||
\(571\) | −2.76487e7 | + | 1.92301e8i | −0.00621510 | + | 0.0432270i | −0.992693 | − | 0.120667i | \(-0.961497\pi\) |
0.986478 | + | 0.163894i | \(0.0524056\pi\) | |||||||
\(572\) | 5.45151e8 | + | 3.50348e8i | 0.121795 | + | 0.0782732i | ||||
\(573\) | −2.21340e8 | − | 2.55440e8i | −0.0491494 | − | 0.0567214i | ||||
\(574\) | −5.98375e9 | −1.32063 | ||||||||
\(575\) | 9.66277e8 | + | 7.40175e8i | 0.211965 | + | 0.162367i | ||||
\(576\) | 1.67813e9 | 0.365888 | ||||||||
\(577\) | 5.74385e9 | + | 6.62875e9i | 1.24477 | + | 1.43654i | 0.857433 | + | 0.514595i | \(0.172058\pi\) |
0.387332 | + | 0.921940i | \(0.373397\pi\) | |||||||
\(578\) | −3.19894e9 | − | 2.05584e9i | −0.689063 | − | 0.442834i | ||||
\(579\) | 5.46924e8 | − | 3.80394e9i | 0.117099 | − | 0.814439i | ||||
\(580\) | 4.22929e8 | − | 9.26086e8i | 0.0900056 | − | 0.197085i | ||||
\(581\) | 9.40316e7 | + | 6.54004e8i | 0.0198910 | + | 0.138345i | ||||
\(582\) | 1.04363e9 | + | 3.06438e8i | 0.219440 | + | 0.0644335i | ||||
\(583\) | −5.55133e9 | + | 3.56762e9i | −1.16026 | + | 0.745657i | ||||
\(584\) | 1.53638e9 | + | 3.36420e9i | 0.319192 | + | 0.698934i | ||||
\(585\) | −1.13580e9 | + | 3.33501e8i | −0.234562 | + | 0.0688735i | ||||
\(586\) | −4.62065e9 | + | 5.33251e9i | −0.948552 | + | 1.09469i | ||||
\(587\) | 1.15732e9 | − | 1.33562e9i | 0.236167 | − | 0.272552i | −0.625278 | − | 0.780402i | \(-0.715014\pi\) |
0.861445 | + | 0.507851i | \(0.169560\pi\) | |||||||
\(588\) | 9.72852e7 | − | 2.85655e7i | 0.0197345 | − | 0.00579457i | ||||
\(589\) | 2.27364e8 | + | 4.97857e8i | 0.0458477 | + | 0.100392i | ||||
\(590\) | −2.90020e9 | + | 1.86385e9i | −0.581361 | + | 0.373618i | ||||
\(591\) | 1.52836e9 | + | 4.48767e8i | 0.304557 | + | 0.0894261i | ||||
\(592\) | 3.08147e7 | + | 2.14321e8i | 0.00610425 | + | 0.0424560i | ||||
\(593\) | −3.80358e9 | + | 8.32868e9i | −0.749034 | + | 1.64016i | 0.0190603 | + | 0.999818i | \(0.493933\pi\) |
−0.768094 | + | 0.640337i | \(0.778795\pi\) | |||||||
\(594\) | 9.05557e7 | − | 6.29829e8i | 0.0177281 | − | 0.123302i | ||||
\(595\) | 8.67988e8 | + | 5.57822e8i | 0.168929 | + | 0.108564i | ||||
\(596\) | 2.89521e8 | + | 3.34125e8i | 0.0560168 | + | 0.0646469i | ||||
\(597\) | 2.27525e9 | 0.437642 | ||||||||
\(598\) | −2.67985e9 | − | 1.03346e9i | −0.512456 | − | 0.197624i | ||||
\(599\) | −9.17711e8 | −0.174467 | −0.0872333 | − | 0.996188i | \(-0.527803\pi\) | ||||
−0.0872333 | + | 0.996188i | \(0.527803\pi\) | |||||||
\(600\) | 5.80548e8 | + | 6.69988e8i | 0.109726 | + | 0.126630i | ||||
\(601\) | 1.24055e9 | + | 7.97253e8i | 0.233106 | + | 0.149808i | 0.651980 | − | 0.758236i | \(-0.273939\pi\) |
−0.418874 | + | 0.908044i | \(0.637575\pi\) | |||||||
\(602\) | 2.13522e8 | − | 1.48508e9i | 0.0398892 | − | 0.277435i | ||||
\(603\) | 5.64501e8 | − | 1.23608e9i | 0.104846 | − | 0.229582i | ||||
\(604\) | 3.56317e8 | + | 2.47824e9i | 0.0657972 | + | 0.457630i | ||||
\(605\) | 2.41426e9 | + | 7.08890e8i | 0.443241 | + | 0.130147i | ||||
\(606\) | −4.71754e8 | + | 3.03178e8i | −0.0861115 | + | 0.0553405i | ||||
\(607\) | 9.89595e8 | + | 2.16691e9i | 0.179596 | + | 0.393261i | 0.977924 | − | 0.208963i | \(-0.0670088\pi\) |
−0.798327 | + | 0.602224i | \(0.794282\pi\) | |||||||
\(608\) | 1.61283e9 | − | 4.73569e8i | 0.291022 | − | 0.0854517i | ||||
\(609\) | 1.48552e9 | − | 1.71438e9i | 0.266512 | − | 0.307572i | ||||
\(610\) | −2.16022e9 | + | 2.49303e9i | −0.385340 | + | 0.444706i | ||||
\(611\) | 5.20957e9 | − | 1.52967e9i | 0.923970 | − | 0.271302i | ||||
\(612\) | −3.82515e7 | − | 8.37590e7i | −0.00674556 | − | 0.0147707i | ||||
\(613\) | 2.56594e9 | − | 1.64903e9i | 0.449920 | − | 0.289146i | −0.295992 | − | 0.955190i | \(-0.595650\pi\) |
0.745912 | + | 0.666044i | \(0.232014\pi\) | |||||||
\(614\) | −7.23957e9 | − | 2.12573e9i | −1.26219 | − | 0.370611i | ||||
\(615\) | 7.88673e8 | + | 5.48534e9i | 0.136721 | + | 0.950913i | ||||
\(616\) | 2.13158e9 | − | 4.66752e9i | 0.367426 | − | 0.804551i | ||||
\(617\) | −6.91131e8 | + | 4.80692e9i | −0.118457 | + | 0.823890i | 0.840798 | + | 0.541349i | \(0.182086\pi\) |
−0.959255 | + | 0.282541i | \(0.908823\pi\) | |||||||
\(618\) | −3.81858e9 | − | 2.45406e9i | −0.650793 | − | 0.418239i | ||||
\(619\) | 5.42551e8 | + | 6.26137e8i | 0.0919439 | + | 0.106109i | 0.799857 | − | 0.600191i | \(-0.204909\pi\) |
−0.707913 | + | 0.706300i | \(0.750363\pi\) | |||||||
\(620\) | 3.92830e8 | 0.0661964 | ||||||||
\(621\) | −6.92497e7 | − | 1.14643e9i | −0.0116037 | − | 0.192100i | ||||
\(622\) | 3.91086e9 | 0.651638 | ||||||||
\(623\) | 4.19067e9 | + | 4.83629e9i | 0.694345 | + | 0.801316i | ||||
\(624\) | −1.20403e9 | − | 7.73780e8i | −0.198376 | − | 0.127489i | ||||
\(625\) | 1.03862e9 | − | 7.22377e9i | 0.170168 | − | 1.18354i | ||||
\(626\) | 4.05317e9 | − | 8.87521e9i | 0.660366 | − | 1.44600i | ||||
\(627\) | −2.11482e8 | − | 1.47089e9i | −0.0342639 | − | 0.238311i | ||||
\(628\) | −2.56887e9 | − | 7.54288e8i | −0.413889 | − | 0.121529i | ||||
\(629\) | 6.04767e7 | − | 3.88660e7i | 0.00968972 | − | 0.00622720i | ||||
\(630\) | 8.73913e8 | + | 1.91360e9i | 0.139244 | + | 0.304902i | ||||
\(631\) | 1.08683e10 | − | 3.19123e9i | 1.72211 | − | 0.505656i | 0.736750 | − | 0.676165i | \(-0.236359\pi\) |
0.985356 | + | 0.170509i | \(0.0545411\pi\) | |||||||
\(632\) | −5.93911e9 | + | 6.85410e9i | −0.935861 | + | 1.08004i | ||||
\(633\) | 3.13191e9 | − | 3.61441e9i | 0.490790 | − | 0.566402i | ||||
\(634\) | −1.37706e9 | + | 4.04341e8i | −0.214605 | + | 0.0630137i | ||||
\(635\) | 1.65855e8 | + | 3.63172e8i | 0.0257052 | + | 0.0562865i | ||||
\(636\) | −1.63794e9 | + | 1.05264e9i | −0.252462 | + | 0.162248i | ||||
\(637\) | −5.02045e8 | − | 1.47414e8i | −0.0769582 | − | 0.0225970i | ||||
\(638\) | −4.01917e8 | − | 2.79540e9i | −0.0612723 | − | 0.426158i | ||||
\(639\) | −9.73555e8 | + | 2.13179e9i | −0.147607 | + | 0.323215i | ||||
\(640\) | −3.89690e8 | + | 2.71035e9i | −0.0587610 | + | 0.408692i | ||||
\(641\) | 2.16746e8 | + | 1.39294e8i | 0.0325048 | + | 0.0208896i | 0.556792 | − | 0.830652i | \(-0.312032\pi\) |
−0.524287 | + | 0.851541i | \(0.675668\pi\) | |||||||
\(642\) | −2.29792e8 | − | 2.65194e8i | −0.0342737 | − | 0.0395540i | ||||
\(643\) | 2.64662e9 | 0.392603 | 0.196301 | − | 0.980544i | \(-0.437107\pi\) | ||||
0.196301 | + | 0.980544i | \(0.437107\pi\) | |||||||
\(644\) | 4.64311e8 | − | 2.02617e9i | 0.0685029 | − | 0.298934i | ||||
\(645\) | −1.38952e9 | −0.203895 | ||||||||
\(646\) | 3.45801e8 | + | 3.99076e8i | 0.0504676 | + | 0.0582428i | ||||
\(647\) | −1.01046e10 | − | 6.49384e9i | −1.46674 | − | 0.942619i | −0.998249 | − | 0.0591536i | \(-0.981160\pi\) |
−0.468496 | − | 0.883466i | \(-0.655204\pi\) | |||||||
\(648\) | 1.19047e8 | − | 8.27993e8i | 0.0171873 | − | 0.119540i | ||||
\(649\) | 1.61782e9 | − | 3.54253e9i | 0.232313 | − | 0.508695i | ||||
\(650\) | −1.46127e8 | − | 1.01634e9i | −0.0208706 | − | 0.145158i | ||||
\(651\) | 8.39828e8 | + | 2.46596e8i | 0.119305 | + | 0.0350310i | ||||
\(652\) | 1.32583e8 | − | 8.52060e7i | 0.0187336 | − | 0.0120394i | ||||
\(653\) | 3.26797e9 | + | 7.15586e9i | 0.459285 | + | 1.00569i | 0.987650 | + | 0.156677i | \(0.0500780\pi\) |
−0.528365 | + | 0.849017i | \(0.677195\pi\) | |||||||
\(654\) | −4.15458e9 | + | 1.21989e9i | −0.580771 | + | 0.170530i | ||||
\(655\) | −1.43202e9 | + | 1.65263e9i | −0.199115 | + | 0.229791i | ||||
\(656\) | −4.38777e9 | + | 5.06376e9i | −0.606849 | + | 0.700341i | ||||
\(657\) | 1.64350e9 | − | 4.82575e8i | 0.226095 | − | 0.0663875i | ||||
\(658\) | −4.00837e9 | − | 8.77711e9i | −0.548501 | − | 1.20105i | ||||
\(659\) | −3.31936e9 | + | 2.13322e9i | −0.451810 | + | 0.290360i | −0.746688 | − | 0.665174i | \(-0.768357\pi\) |
0.294878 | + | 0.955535i | \(0.404721\pi\) | |||||||
\(660\) | −1.02337e9 | − | 3.00488e8i | −0.138557 | − | 0.0406839i | ||||
\(661\) | 1.49388e8 | + | 1.03902e9i | 0.0201193 | + | 0.139932i | 0.997405 | − | 0.0719926i | \(-0.0229358\pi\) |
−0.977286 | + | 0.211925i | \(0.932027\pi\) | |||||||
\(662\) | −3.04885e8 | + | 6.67606e8i | −0.0408445 | + | 0.0894370i | ||||
\(663\) | −6.76258e7 | + | 4.70348e8i | −0.00901187 | + | 0.0626789i | ||||
\(664\) | 9.09730e8 | + | 5.84648e8i | 0.120594 | + | 0.0775008i | ||||
\(665\) | 3.21731e9 | + | 3.71297e9i | 0.424245 | + | 0.489605i | ||||
\(666\) | 1.46575e8 | 0.0192265 | ||||||||
\(667\) | −1.72843e9 | − | 4.79555e9i | −0.225534 | − | 0.625746i | ||||
\(668\) | −1.83748e8 | −0.0238509 | ||||||||
\(669\) | −4.41825e9 | − | 5.09894e9i | −0.570505 | − | 0.658398i | ||||
\(670\) | 4.70530e9 | + | 3.02391e9i | 0.604402 | + | 0.388425i | ||||
\(671\) | 5.30330e8 | − | 3.68853e9i | 0.0677669 | − | 0.471329i | ||||
\(672\) | 1.11670e9 | − | 2.44524e9i | 0.141953 | − | 0.310835i | ||||
\(673\) | −1.25569e9 | − | 8.73350e9i | −0.158792 | − | 1.10442i | −0.900863 | − | 0.434102i | \(-0.857066\pi\) |
0.742071 | − | 0.670321i | \(-0.233844\pi\) | |||||||
\(674\) | 4.45674e9 | + | 1.30862e9i | 0.560671 | + | 0.164628i | ||||
\(675\) | 3.45405e8 | − | 2.21978e8i | 0.0432280 | − | 0.0277810i | ||||
\(676\) | 5.55658e8 | + | 1.21672e9i | 0.0691822 | + | 0.151488i | ||||
\(677\) | 1.76102e9 | − | 5.17083e8i | 0.218125 | − | 0.0640471i | −0.170844 | − | 0.985298i | \(-0.554650\pi\) |
0.388969 | + | 0.921251i | \(0.372831\pi\) | |||||||
\(678\) | −4.15084e9 | + | 4.79033e9i | −0.511484 | + | 0.590284i | ||||
\(679\) | 2.66024e9 | − | 3.07008e9i | 0.326120 | − | 0.376362i | ||||
\(680\) | 1.62028e9 | − | 4.75758e8i | 0.197610 | − | 0.0580236i | ||||
\(681\) | 1.43214e7 | + | 3.13594e7i | 0.00173768 | + | 0.00380498i | ||||
\(682\) | 9.16713e8 | − | 5.89135e8i | 0.110659 | − | 0.0711164i | ||||
\(683\) | 5.98085e9 | + | 1.75614e9i | 0.718275 | + | 0.210905i | 0.620390 | − | 0.784293i | \(-0.286974\pi\) |
0.0978846 | + | 0.995198i | \(0.468792\pi\) | |||||||
\(684\) | −6.23984e7 | − | 4.33990e8i | −0.00745550 | − | 0.0518541i | ||||
\(685\) | −1.99504e9 | + | 4.36853e9i | −0.237156 | + | 0.519300i | ||||
\(686\) | 9.42670e8 | − | 6.55642e9i | 0.111487 | − | 0.775411i | ||||
\(687\) | −6.04753e9 | − | 3.88651e9i | −0.711589 | − | 0.457311i | ||||
\(688\) | −1.10018e9 | − | 1.26967e9i | −0.128796 | − | 0.148639i | ||||
\(689\) | 1.00477e10 | 1.17030 | ||||||||
\(690\) | 4.71128e9 | + | 3.89415e8i | 0.545967 | + | 0.0451274i | ||||
\(691\) | 1.38113e10 | 1.59243 | 0.796217 | − | 0.605011i | \(-0.206831\pi\) | ||||
0.796217 | + | 0.605011i | \(0.206831\pi\) | |||||||
\(692\) | −2.27568e9 | − | 2.62627e9i | −0.261059 | − | 0.301278i | ||||
\(693\) | −1.99922e9 | − | 1.28482e9i | −0.228188 | − | 0.146648i | ||||
\(694\) | 6.40656e8 | − | 4.45586e9i | 0.0727556 | − | 0.506026i | ||||
\(695\) | 5.06776e9 | − | 1.10969e10i | 0.572624 | − | 1.25387i | ||||
\(696\) | −5.28374e8 | − | 3.67492e9i | −0.0594031 | − | 0.413157i | ||||
\(697\) | 2.13447e9 | + | 6.26737e8i | 0.238768 | + | 0.0701085i | ||||
\(698\) | −4.10913e9 | + | 2.64077e9i | −0.457357 | + | 0.293926i | ||||
\(699\) | 3.85507e9 | + | 8.44143e9i | 0.426935 | + | 0.934858i | ||||
\(700\) | 7.13007e8 | − | 2.09358e8i | 0.0785689 | − | 0.0230699i | ||||
\(701\) | 7.17728e9 | − | 8.28302e9i | 0.786949 | − | 0.908188i | −0.210641 | − | 0.977563i | \(-0.567555\pi\) |
0.997591 | + | 0.0693754i | \(0.0221006\pi\) | |||||||
\(702\) | −6.34469e8 | + | 7.32216e8i | −0.0692198 | + | 0.0798840i | ||||
\(703\) | 3.28443e8 | − | 9.64396e7i | 0.0356547 | − | 0.0104692i | ||||
\(704\) | −3.24141e9 | − | 7.09769e9i | −0.350130 | − | 0.766678i | ||||
\(705\) | −7.51773e9 | + | 4.83135e9i | −0.808025 | + | 0.519286i | ||||
\(706\) | 9.95901e9 | + | 2.92423e9i | 1.06512 | + | 0.312748i | ||||
\(707\) | 2.98061e8 | + | 2.07306e9i | 0.0317203 | + | 0.220620i | ||||
\(708\) | 4.77343e8 | − | 1.04523e9i | 0.0505491 | − | 0.110687i | ||||
\(709\) | 7.02649e8 | − | 4.88703e9i | 0.0740417 | − | 0.514971i | −0.918724 | − | 0.394901i | \(-0.870779\pi\) |
0.992765 | − | 0.120070i | \(-0.0383120\pi\) | |||||||
\(710\) | −8.11491e9 | − | 5.21513e9i | −0.850902 | − | 0.546841i | ||||
\(711\) | 2.75064e9 | + | 3.17441e9i | 0.287006 | + | 0.331222i | ||||
\(712\) | 1.04736e10 | 1.08747 | ||||||||
\(713\) | 1.40611e9 | − | 1.37532e9i | 0.145280 | − | 0.142099i | ||||
\(714\) | 8.44477e8 | 0.0868249 | ||||||||
\(715\) | 3.60441e9 | + | 4.15972e9i | 0.368777 | + | 0.425591i | ||||
\(716\) | 7.22932e8 | + | 4.64600e8i | 0.0736041 | + | 0.0473025i | ||||
\(717\) | −1.09295e9 | + | 7.60166e9i | −0.110735 | + | 0.770178i | ||||
\(718\) | 4.94516e9 | − | 1.08284e10i | 0.498592 | − | 1.09176i | ||||
\(719\) | −1.73794e9 | − | 1.20877e10i | −0.174375 | − | 1.21281i | −0.869506 | − | 0.493922i | \(-0.835563\pi\) |
0.695131 | − | 0.718883i | \(-0.255346\pi\) | |||||||
\(720\) | 2.26022e9 | + | 6.63659e8i | 0.225676 | + | 0.0662646i | ||||
\(721\) | −1.42617e10 | + | 9.16541e9i | −1.41709 | + | 0.910706i | ||||
\(722\) | −2.49691e9 | − | 5.46747e9i | −0.246901 | − | 0.540638i | ||||
\(723\) | −2.54326e9 | + | 7.46770e8i | −0.250269 | + | 0.0734857i | ||||
\(724\) | −2.53285e9 | + | 2.92306e9i | −0.248041 | + | 0.286255i | ||||
\(725\) | 1.19336e9 | − | 1.37721e9i | 0.116302 | − | 0.134220i | ||||
\(726\) | 1.97599e9 | − | 5.80203e8i | 0.191649 | − | 0.0562732i | ||||
\(727\) | 6.96651e9 | + | 1.52545e10i | 0.672427 | + | 1.47241i | 0.870473 | + | 0.492216i | \(0.163813\pi\) |
−0.198047 | + | 0.980193i | \(0.563460\pi\) | |||||||
\(728\) | −6.57269e9 | + | 4.22401e9i | −0.631369 | + | 0.405756i | ||||
\(729\) | −3.71727e8 | − | 1.09149e8i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 1.00336e9 | + | 6.97852e9i | 0.0954612 | + | 0.663947i | ||||
\(731\) | −2.31713e8 | + | 5.07380e8i | −0.0219401 | + | 0.0480422i | ||||
\(732\) | 1.56475e8 | − | 1.08831e9i | 0.0147454 | − | 0.102557i | ||||
\(733\) | −1.07572e10 | − | 6.91321e9i | −1.00887 | − | 0.648360i | −0.0717676 | − | 0.997421i | \(-0.522864\pi\) |
−0.937100 | + | 0.349062i | \(0.886500\pi\) | |||||||
\(734\) | 3.89263e8 | + | 4.49233e8i | 0.0363334 | + | 0.0419310i | ||||
\(735\) | 8.61193e8 | 0.0800009 | ||||||||
\(736\) | −3.56631e9 | − | 4.87560e9i | −0.329721 | − | 0.450771i | ||||
\(737\) | −6.31841e9 | −0.581395 | ||||||||
\(738\) | 2.97028e9 | + | 3.42788e9i | 0.272019 | + | 0.313927i | ||||
\(739\) | 1.55173e9 | + | 9.97234e8i | 0.141436 | + | 0.0908954i | 0.609445 | − | 0.792828i | \(-0.291392\pi\) |
−0.468009 | + | 0.883724i | \(0.655029\pi\) | |||||||
\(740\) | 3.49651e7 | − | 2.43188e8i | 0.00317193 | − | 0.0220613i | ||||
\(741\) | −9.39943e8 | + | 2.05819e9i | −0.0848668 | + | 0.185832i | ||||
\(742\) | −2.54122e9 | − | 1.76746e10i | −0.228364 | − | 1.58831i | ||||
\(743\) | 1.26499e9 | + | 3.71434e8i | 0.113143 | + | 0.0332217i | 0.337814 | − | 0.941213i | \(-0.390313\pi\) |
−0.224671 | + | 0.974435i | \(0.572131\pi\) | |||||||
\(744\) | 1.20514e9 | − | 7.74496e8i | 0.107283 | − | 0.0689468i | ||||
\(745\) | 1.55995e9 | + | 3.41580e9i | 0.138217 | + | 0.302654i | ||||
\(746\) | 1.46836e10 | − | 4.31149e9i | 1.29493 | − | 0.380226i | ||||
\(747\) | 3.27980e8 | − | 3.78509e8i | 0.0287889 | − | 0.0332242i | ||||
\(748\) | −2.80376e8 | + | 3.23571e8i | −0.0244954 | + | 0.0282692i | ||||
\(749\) | −1.25746e9 | + | 3.69224e8i | −0.109347 | + | 0.0321073i | ||||
\(750\) | −1.92727e9 | − | 4.22013e9i | −0.166812 | − | 0.365268i | ||||
\(751\) | 3.47614e9 | − | 2.23398e9i | 0.299473 | − | 0.192460i | −0.382271 | − | 0.924050i | \(-0.624858\pi\) |
0.681744 | + | 0.731591i | \(0.261222\pi\) | |||||||
\(752\) | −1.03669e10 | − | 3.04400e9i | −0.888970 | − | 0.261025i | ||||
\(753\) | 5.72127e8 | + | 3.97923e9i | 0.0488326 | + | 0.339638i | ||||
\(754\) | −1.78634e9 | + | 3.91155e9i | −0.151763 | + | 0.332314i | ||||
\(755\) | −3.02644e9 | + | 2.10494e10i | −0.255928 | + | 1.78002i | ||||
\(756\) | −5.89875e8 | − | 3.79089e8i | −0.0496516 | − | 0.0319092i | ||||
\(757\) | 2.51277e7 | + | 2.89989e7i | 0.00210531 | + | 0.00242966i | 0.756801 | − | 0.653645i | \(-0.226761\pi\) |
−0.754696 | + | 0.656075i | \(0.772216\pi\) | |||||||
\(758\) | −1.20311e10 | −1.00338 | ||||||||
\(759\) | −4.71509e9 | + | 2.50729e9i | −0.391421 | + | 0.208141i | ||||
\(760\) | 8.04092e9 | 0.664444 | ||||||||
\(761\) | 5.66188e9 | + | 6.53416e9i | 0.465709 | + | 0.537457i | 0.939213 | − | 0.343335i | \(-0.111557\pi\) |
−0.473504 | + | 0.880792i | \(0.657011\pi\) | |||||||
\(762\) | 2.74900e8 | + | 1.76667e8i | 0.0225077 | + | 0.0144648i | ||||
\(763\) | −2.30146e9 | + | 1.60070e10i | −0.187572 | + | 1.30459i | ||||
\(764\) | −1.92627e8 | + | 4.21795e8i | −0.0156276 | + | 0.0342196i | ||||
\(765\) | −1.11304e8 | − | 7.74138e8i | −0.00898869 | − | 0.0625177i | ||||
\(766\) | 1.88311e10 | + | 5.52931e9i | 1.51382 | + | 0.444498i | ||||
\(767\) | −4.98851e9 | + | 3.20592e9i | −0.399197 | + | 0.256548i | ||||
\(768\) | −2.37387e9 | − | 5.19804e9i | −0.189100 | − | 0.414072i | ||||
\(769\) | −7.21966e9 | + | 2.11988e9i | −0.572499 | + | 0.168101i | −0.555152 | − | 0.831749i | \(-0.687340\pi\) |
−0.0173466 | + | 0.999850i | \(0.505522\pi\) | |||||||
\(770\) | 6.40561e9 | − | 7.39247e9i | 0.505642 | − | 0.583542i | ||||
\(771\) | −3.67065e9 | + | 4.23616e9i | −0.288438 | + | 0.332875i | ||||
\(772\) | −5.05875e9 | + | 1.48538e9i | −0.395715 | + | 0.116193i | ||||
\(773\) | −4.17706e8 | − | 9.14649e8i | −0.0325269 | − | 0.0712240i | 0.892671 | − | 0.450709i | \(-0.148829\pi\) |
−0.925198 | + | 0.379485i | \(0.876101\pi\) | |||||||
\(774\) | −9.56740e8 | + | 6.14860e8i | −0.0741653 | + | 0.0476631i | ||||
\(775\) | 6.74659e8 | + | 1.98098e8i | 0.0520629 | + | 0.0152870i | ||||
\(776\) | −9.46204e8 | − | 6.58099e9i | −0.0726890 | − | 0.505563i | ||||
\(777\) | 2.27411e8 | − | 4.97960e8i | 0.0173915 | − | 0.0380821i | ||||
\(778\) | −1.61401e9 | + | 1.12257e10i | −0.122879 | + | 0.854640i | ||||
\(779\) | 8.91112e9 | + | 5.72683e9i | 0.675385 | + | 0.434043i | ||||
\(780\) | 1.06349e9 | + | 1.22734e9i | 0.0802423 | + | 0.0926046i | ||||
\(781\) | 1.08969e10 | 0.818512 | ||||||||
\(782\) | 9.27831e8 | − | 1.65537e9i | 0.0693818 | − | 0.123786i | ||||
\(783\) | −1.71951e9 | −0.128008 | ||||||||
\(784\) | 6.81864e8 | + | 7.86913e8i | 0.0505349 | + | 0.0583204i | ||||
\(785\) | −1.91303e10 | − | 1.22943e10i | −1.41149 | − | 0.907112i | ||||
\(786\) | −2.54712e8 | + | 1.77156e9i | −0.0187099 | + | 0.130130i | ||||
\(787\) | 8.63401e9 | − | 1.89058e10i | 0.631395 | − | 1.38256i | −0.275540 | − | 0.961290i | \(-0.588857\pi\) |
0.906935 | − | 0.421272i | \(-0.138416\pi\) | |||||||
\(788\) | −3.10999e8 | − | 2.16304e9i | −0.0226421 | − | 0.157479i | ||||
\(789\) | 4.75986e8 | + | 1.39762e8i | 0.0345004 | + | 0.0101302i | ||||
\(790\) | −1.45442e10 | + | 9.34700e9i | −1.04953 | + | 0.674493i | ||||
\(791\) | 9.83415e9 | + | 2.15338e10i | 0.706511 | + | 1.54704i | ||||
\(792\) | −3.73196e9 | + | 1.09580e9i | −0.266931 | + | 0.0783780i | ||||
\(793\) | −3.71570e9 | + | 4.28815e9i | −0.264597 | + | 0.305361i | ||||
\(794\) | −8.91469e9 | + | 1.02881e10i | −0.632026 | + | 0.729396i | ||||
\(795\) | −1.58674e10 | + | 4.65910e9i | −1.12001 | + | 0.328865i | ||||
\(796\) | −1.29669e9 | − | 2.83936e9i | −0.0911257 | − | 0.199537i | ||||
\(797\) | −7.43528e9 | + | 4.77836e9i | −0.520227 | + | 0.334330i | −0.774262 | − | 0.632865i | \(-0.781879\pi\) |
0.254035 | + | 0.967195i | \(0.418242\pi\) | |||||||
\(798\) | 3.85822e9 | + | 1.13287e9i | 0.268767 | + | 0.0789172i | ||||
\(799\) | 5.10518e8 | + | 3.55073e9i | 0.0354077 | + | 0.246266i | ||||
\(800\) | 8.97082e8 | − | 1.96434e9i | 0.0619466 | − | 0.135644i | ||||
\(801\) | 6.90334e8 | − | 4.80138e9i | 0.0474619 | − | 0.330105i | ||||
\(802\) | 1.47205e10 | + | 9.46027e9i | 1.00765 | + | 0.647580i | ||||
\(803\) | −5.21558e9 | − | 6.01910e9i | −0.355466 | − | 0.410229i | ||||
\(804\) | −1.86426e9 | −0.126506 | ||||||||
\(805\) | 8.63246e9 | − | 1.54014e10i | 0.583243 | − | 1.04058i | ||||
\(806\) | −1.65921e9 | −0.111617 | ||||||||
\(807\) | −7.64546e9 | − | 8.82333e9i | −0.512090 | − | 0.590983i | ||||
\(808\) | 2.88366e9 | + | 1.85322e9i | 0.192311 | + | 0.123591i | ||||
\(809\) | −3.31643e9 | + | 2.30663e10i | −0.220217 | + | 1.53164i | 0.516999 | + | 0.855986i | \(0.327049\pi\) |
−0.737216 | + | 0.675657i | \(0.763860\pi\) | |||||||
\(810\) | 6.62435e8 | − | 1.45053e9i | 0.0437971 | − | 0.0959023i | ||||
\(811\) | −3.13152e9 | − | 2.17802e10i | −0.206149 | − | 1.43380i | −0.785571 | − | 0.618772i | \(-0.787631\pi\) |
0.579421 | − | 0.815028i | \(-0.303279\pi\) | |||||||
\(812\) | −2.98604e9 | − | 8.76781e8i | −0.195726 | − | 0.0574705i | ||||
\(813\) | −4.49364e9 | + | 2.88789e9i | −0.293279 | + | 0.188479i | ||||
\(814\) | −2.83119e8 | − | 6.19943e8i | −0.0183985 | − | 0.0402871i | ||||
\(815\) | 1.28439e9 | − | 3.77132e8i | 0.0831088 | − | 0.0244029i | ||||
\(816\) | 6.19240e8 | − | 7.14640e8i | 0.0398973 | − | 0.0460439i | ||||
\(817\) | −1.73930e9 | + | 2.00726e9i | −0.111583 | + | 0.128773i | ||||
\(818\) | −7.09194e9 | + | 2.08238e9i | −0.453032 | + | 0.133022i | ||||
\(819\) | 1.50318e9 | + | 3.29151e9i | 0.0956131 | + | 0.209364i | ||||
\(820\) | 6.39586e9 | − | 4.11037e9i | 0.405089 | − | 0.260335i | ||||
\(821\) | −4.99655e9 | − | 1.46712e9i | −0.315115 | − | 0.0925260i | 0.120351 | − | 0.992731i | \(-0.461598\pi\) |
−0.435466 | + | 0.900205i | \(0.643416\pi\) | |||||||
\(822\) | 5.59397e8 | + | 3.89069e9i | 0.0351293 | + | 0.244329i | ||||
\(823\) | −1.42689e9 | + | 3.12444e9i | −0.0892256 | + | 0.195377i | −0.948984 | − | 0.315324i | \(-0.897887\pi\) |
0.859758 | + | 0.510701i | \(0.170614\pi\) | |||||||
\(824\) | −3.94871e9 | + | 2.74639e10i | −0.245872 | + | 1.71008i | ||||
\(825\) | −1.60603e9 | − | 1.03213e9i | −0.0995784 | − | 0.0639952i | ||||
\(826\) | 6.90111e9 | + | 7.96430e9i | 0.426077 | + | 0.491720i | ||||
\(827\) | 2.32411e10 | 1.42885 | 0.714427 | − | 0.699710i | \(-0.246687\pi\) | ||||
0.714427 | + | 0.699710i | \(0.246687\pi\) | |||||||
\(828\) | −1.39120e9 | + | 7.39783e8i | −0.0851694 | + | 0.0452895i | ||||
\(829\) | −3.18335e10 | −1.94063 | −0.970316 | − | 0.241839i | \(-0.922249\pi\) | ||||
−0.970316 | + | 0.241839i | \(0.922249\pi\) | |||||||
\(830\) | 1.34997e9 | + | 1.55795e9i | 0.0819506 | + | 0.0945761i | ||||
\(831\) | −5.27101e9 | − | 3.38747e9i | −0.318632 | − | 0.204773i | ||||
\(832\) | −1.69082e9 | + | 1.17599e10i | −0.101781 | + | 0.707901i | ||||
\(833\) | 1.43610e8 | − | 3.14462e8i | 0.00860849 | − | 0.0188500i | ||||
\(834\) | −1.42097e9 | − | 9.88307e9i | −0.0848212 | − | 0.589944i | ||||
\(835\) | −1.49747e9 | − | 4.39698e8i | −0.0890136 | − | 0.0261367i | ||||
\(836\) | −1.71504e9 | + | 1.10219e9i | −0.101520 | + | 0.0652432i | ||||
\(837\) | −2.75617e8 | − | 6.03516e8i | −0.0162467 | − | 0.0355754i | ||||
\(838\) | −1.67981e10 | + | 4.93238e9i | −0.986068 | + | 0.289536i | ||||
\(839\) | 1.63629e10 | − | 1.88838e10i | 0.956516 | − | 1.10388i | −0.0379978 | − | 0.999278i | \(-0.512098\pi\) |
0.994514 | − | 0.104601i | \(-0.0333566\pi\) | |||||||
\(840\) | 8.42102e9 | − | 9.71837e9i | 0.490216 | − | 0.565739i | ||||
\(841\) | 9.22852e9 | − | 2.70974e9i | 0.534990 | − | 0.157087i | ||||
\(842\) | −2.95746e9 | − | 6.47594e9i | −0.170737 | − | 0.373861i | ||||
\(843\) | −8.67044e8 | + | 5.57216e8i | −0.0498477 | + | 0.0320351i | ||||
\(844\) | −6.29545e9 | − | 1.84851e9i | −0.360436 | − | 0.105834i | ||||
\(845\) | 1.61686e9 | + | 1.12455e10i | 0.0921877 | + | 0.641179i | ||||
\(846\) | −3.03839e9 | + | 6.65314e9i | −0.172523 | + | 0.377772i | ||||
\(847\) | 1.09461e9 | − | 7.61319e9i | 0.0618968 | − | 0.430502i | ||||
\(848\) | −1.68206e10 | − | 1.08099e10i | −0.947229 | − | 0.608747i | ||||
\(849\) | 5.70348e9 | + | 6.58217e9i | 0.319863 | + | 0.369141i | ||||
\(850\) | 6.78394e8 | 0.0378892 | ||||||||
\(851\) | −7.26258e8 | − | 9.92888e8i | −0.0403959 | − | 0.0552264i | ||||
\(852\) | 3.21517e9 | 0.178100 | ||||||||
\(853\) | 5.14795e9 | + | 5.94105e9i | 0.283996 | + | 0.327749i | 0.879767 | − | 0.475405i | \(-0.157699\pi\) |
−0.595770 | + | 0.803155i | \(0.703153\pi\) | |||||||
\(854\) | 8.48291e9 | + | 5.45163e9i | 0.466060 | + | 0.299519i | ||||
\(855\) | 5.29991e8 | − | 3.68617e9i | 0.0289993 | − | 0.201694i | ||||
\(856\) | −8.91039e8 | + | 1.95110e9i | −0.0485555 | + | 0.106322i | ||||
\(857\) | −2.22103e9 | − | 1.54476e10i | −0.120537 | − | 0.838357i | −0.956949 | − | 0.290255i | \(-0.906260\pi\) |
0.836412 | − | 0.548101i | \(-0.184649\pi\) | |||||||
\(858\) | 4.32244e9 | + | 1.26918e9i | 0.233627 | + | 0.0685991i | ||||
\(859\) | −2.42174e10 | + | 1.55636e10i | −1.30362 | + | 0.837788i | −0.993602 | − | 0.112942i | \(-0.963973\pi\) |
−0.310022 | + | 0.950729i | \(0.600336\pi\) | |||||||
\(860\) | 7.91905e8 | + | 1.73403e9i | 0.0424550 | + | 0.0929635i | ||||
\(861\) | 1.62539e10 | − | 4.77257e9i | 0.867853 | − | 0.254825i | ||||
\(862\) | 7.26798e9 | − | 8.38770e9i | 0.386490 | − | 0.446033i | ||||
\(863\) | −1.54160e10 | + | 1.77911e10i | −0.816460 | + | 0.942246i | −0.999162 | − | 0.0409228i | \(-0.986970\pi\) |
0.182702 | + | 0.983168i | \(0.441516\pi\) | |||||||
\(864\) | −1.95512e9 | + | 5.74074e8i | −0.103128 | + | 0.0302810i | ||||
\(865\) | −1.22614e10 | − | 2.68487e10i | −0.644144 | − | 1.41048i | ||||
\(866\) | 7.64379e9 | − | 4.91236e9i | 0.399941 | − | 0.257026i | ||||
\(867\) | 1.03291e10 | + | 3.03291e9i | 0.538266 | + | 0.158049i | ||||
\(868\) | −1.70893e8 | − | 1.18859e9i | −0.00886961 | − | 0.0616895i | ||||
\(869\) | 8.11320e9 | − | 1.77654e10i | 0.419395 | − | 0.918347i | ||||
\(870\) | 1.00724e9 | − | 7.00550e9i | 0.0518579 | − | 0.360680i | ||||
\(871\) | 8.09339e9 | + | 5.20130e9i | 0.415018 | + | 0.266716i | ||||
\(872\) | 1.73326e10 | + | 2.00029e10i | 0.885230 | + | 1.02161i | ||||
\(873\) | −3.07927e9 | −0.156638 | ||||||||
\(874\) | 6.45974e9 | − | 6.31830e9i | 0.327284 | − | 0.320118i | ||||
\(875\) | −1.73272e10 | −0.874379 | ||||||||
\(876\) | −1.53887e9 | − | 1.77595e9i | −0.0773460 | − | 0.0892620i | ||||
\(877\) | −1.54064e10 | − | 9.90108e9i | −0.771262 | − | 0.495660i | 0.0948612 | − | 0.995491i | \(-0.469759\pi\) |
−0.866123 | + | 0.499830i | \(0.833396\pi\) | |||||||
\(878\) | 3.37026e9 | − | 2.34407e10i | 0.168048 | − | 1.16880i | ||||
\(879\) | 8.29809e9 | − | 1.81703e10i | 0.412114 | − | 0.902404i | ||||
\(880\) | −1.55878e9 | − | 1.08415e10i | −0.0771071 | − | 0.536291i | ||||
\(881\) | 1.31054e10 | + | 3.84811e9i | 0.645708 | + | 0.189597i | 0.588158 | − | 0.808746i | \(-0.299853\pi\) |
0.0575494 | + | 0.998343i | \(0.481671\pi\) | |||||||
\(882\) | 5.92964e8 | − | 3.81075e8i | 0.0290997 | − | 0.0187012i | ||||
\(883\) | −1.36017e10 | − | 2.97835e10i | −0.664858 | − | 1.45584i | −0.877925 | − | 0.478799i | \(-0.841072\pi\) |
0.213066 | − | 0.977038i | \(-0.431655\pi\) | |||||||
\(884\) | 6.25502e8 | − | 1.83664e8i | 0.0304541 | − | 0.00894214i | ||||
\(885\) | 6.39135e9 | − | 7.37601e9i | 0.309950 | − | 0.357701i | ||||
\(886\) | −1.58771e10 | + | 1.83232e10i | −0.766927 | + | 0.885081i | ||||
\(887\) | −9.51165e9 | + | 2.79287e9i | −0.457639 | + | 0.134375i | −0.502423 | − | 0.864622i | \(-0.667558\pi\) |
0.0447843 | + | 0.998997i | \(0.485740\pi\) | |||||||
\(888\) | −3.72197e8 | − | 8.14997e8i | −0.0178372 | − | 0.0390581i | ||||
\(889\) | 1.02670e9 | − | 6.59817e8i | 0.0490101 | − | 0.0314969i | ||||
\(890\) | 1.91571e10 | + | 5.62502e9i | 0.910886 | + | 0.267460i | ||||
\(891\) | 2.56365e8 | + | 1.78305e9i | 0.0121419 | + | 0.0844486i | ||||
\(892\) | −3.84511e9 | + | 8.41962e9i | −0.181398 | + | 0.397206i | ||||
\(893\) | −2.43091e9 | + | 1.69073e10i | −0.114232 | + | 0.794502i | ||||
\(894\) | 2.58556e9 | + | 1.66164e9i | 0.121025 | + | 0.0777778i | ||||
\(895\) | 4.77986e9 | + | 5.51625e9i | 0.222861 | + | 0.257196i | ||||
\(896\) | 8.37023e9 | 0.388740 | ||||||||
\(897\) | 8.10366e9 | + | 6.69815e8i | 0.374893 | + | 0.0309871i | ||||
\(898\) | −3.38855e10 | −1.56152 | ||||||||
\(899\) | −1.92838e9 | − | 2.22547e9i | −0.0885186 | − | 0.102156i | ||||
\(900\) | −4.73864e8 | − | 3.04534e8i | −0.0216673 | − | 0.0139247i | ||||
\(901\) | −9.44750e8 | + | 6.57088e9i | −0.0430309 | + | 0.299286i | ||||
\(902\) | 8.76103e9 | − | 1.91840e10i | 0.397496 | − | 0.870394i | ||||
\(903\) | 6.04484e8 | + | 4.20428e9i | 0.0273198 | + | 0.190013i | ||||
\(904\) | 3.71756e10 | + | 1.09158e10i | 1.67367 | + | 0.491433i | ||||
\(905\) | −2.76365e10 | + | 1.77609e10i | −1.23940 | + | 0.796515i | ||||
\(906\) | 7.23045e9 | + | 1.58325e10i | 0.323011 | + | 0.707294i | ||||
\(907\) | 3.73432e10 | − | 1.09650e10i | 1.66183 | − | 0.487957i | 0.690031 | − | 0.723779i | \(-0.257597\pi\) |
0.971796 | + | 0.235823i | \(0.0757785\pi\) | |||||||
\(908\) | 3.09725e7 | − | 3.57442e7i | 0.00137302 | − | 0.00158455i | ||||
\(909\) | 1.03963e9 | − | 1.19980e9i | 0.0459098 | − | 0.0529828i | ||||
\(910\) | −1.42906e10 | + | 4.19609e9i | −0.628643 | + | 0.184586i | ||||
\(911\) | −1.58683e10 | − | 3.47467e10i | −0.695369 | − | 1.52265i | −0.845498 | − | 0.533979i | \(-0.820696\pi\) |
0.150129 | − | 0.988666i | \(-0.452031\pi\) | |||||||
\(912\) | 3.78786e9 | − | 2.43431e9i | 0.165353 | − | 0.106266i | ||||
\(913\) | −2.23442e9 | − | 6.56086e8i | −0.0971667 | − | 0.0285307i | ||||
\(914\) | 1.75455e9 | + | 1.22032e10i | 0.0760073 | + | 0.528642i | ||||
\(915\) | 3.87948e9 | − | 8.49488e9i | 0.167417 | − | 0.366592i | ||||
\(916\) | −1.40354e9 | + | 9.76187e9i | −0.0603382 | + | 0.419661i | ||||
\(917\) | 5.62334e9 | + | 3.61390e9i | 0.240825 | + | 0.154769i | ||||
\(918\) | −4.19191e8 | − | 4.83772e8i | −0.0178839 | − | 0.0206391i | ||||
\(919\) | 3.24679e10 | 1.37991 | 0.689953 | − | 0.723854i | \(-0.257631\pi\) | ||||
0.689953 | + | 0.723854i | \(0.257631\pi\) | |||||||
\(920\) | −9.79803e9 | − | 2.71848e10i | −0.414841 | − | 1.15098i | ||||
\(921\) | 2.13606e10 | 0.900957 | ||||||||
\(922\) | 1.21955e10 | + | 1.40744e10i | 0.512438 | + | 0.591385i | ||||
\(923\) | −1.39581e10 | − | 8.97033e9i | −0.584279 | − | 0.375493i | ||||
\(924\) | −4.63990e8 | + | 3.22712e9i | −0.0193489 | + | 0.134575i | ||||
\(925\) | 1.82686e8 | − | 4.00026e8i | 0.00758942 | − | 0.0166185i | ||||
\(926\) | 2.35096e9 | + | 1.63513e10i | 0.0972987 | + | 0.676727i | ||||
\(927\) | 1.23299e10 | + | 3.62038e9i | 0.508371 | + | 0.149271i | ||||
\(928\) | −7.60815e9 | + | 4.88946e9i | −0.312508 | + | 0.200837i | ||||
\(929\) | 8.57080e9 | + | 1.87674e10i | 0.350725 | + | 0.767980i | 0.999973 | + | 0.00740285i | \(0.00235642\pi\) |
−0.649248 | + | 0.760577i | \(0.724916\pi\) | |||||||
\(930\) | 2.62025e9 | − | 7.69376e8i | 0.106820 | − | 0.0313652i | ||||
\(931\) | 1.07797e9 | − | 1.24405e9i | 0.0437808 | − | 0.0505258i | ||||
\(932\) | 8.33727e9 | − | 9.62173e9i | 0.337340 | − | 0.389312i | ||||
\(933\) | −1.06232e10 | + | 3.11926e9i | −0.428224 | + | 0.125738i | ||||
\(934\) | −1.59762e10 | − | 3.49829e10i | −0.641591 | − | 1.40489i | ||||
\(935\) | −3.05924e9 | + | 1.96605e9i | −0.122398 | + | 0.0786602i | ||||
\(936\) | 5.68241e9 | + | 1.66851e9i | 0.226500 | + | 0.0665063i | ||||
\(937\) | 3.81885e9 | + | 2.65607e10i | 0.151650 | + | 1.05475i | 0.913454 | + | 0.406943i | \(0.133405\pi\) |
−0.761803 | + | 0.647809i | \(0.775686\pi\) | |||||||
\(938\) | 7.10250e9 | − | 1.55523e10i | 0.280997 | − | 0.615297i | ||||
\(939\) | −3.93102e9 | + | 2.73408e10i | −0.154944 | + | 1.07766i | ||||
\(940\) | 1.03136e10 | + | 6.62817e9i | 0.405008 | + | 0.260283i | ||||
\(941\) | 1.92484e10 | + | 2.22138e10i | 0.753061 | + | 0.869079i | 0.994861 | − | 0.101247i | \(-0.0322832\pi\) |
−0.241800 | + | 0.970326i | \(0.577738\pi\) | |||||||
\(942\) | −1.86122e10 | −0.725469 | ||||||||
\(943\) | 8.50289e9 | − | 3.71050e10i | 0.330199 | − | 1.44093i | ||||
\(944\) | 1.18003e10 | 0.456551 | ||||||||
\(945\) | −3.90011e9 | − | 4.50097e9i | −0.150337 | − | 0.173498i | ||||
\(946\) | 4.44856e9 | + | 2.85891e9i | 0.170844 | + | 0.109795i | ||||
\(947\) | −2.09281e9 | + | 1.45558e10i | −0.0800764 | + | 0.556944i | 0.909804 | + | 0.415038i | \(0.136232\pi\) |
−0.989880 | + | 0.141905i | \(0.954677\pi\) | |||||||
\(948\) | 2.39382e9 | − | 5.24174e9i | 0.0912563 | − | 0.199824i | ||||
\(949\) | 1.72584e9 | + | 1.20035e10i | 0.0655493 | + | 0.455905i | ||||
\(950\) | 3.09942e9 | + | 9.10072e8i | 0.117286 | + | 0.0344384i | ||||
\(951\) | 3.41806e9 | − | 2.19665e9i | 0.128869 | − | 0.0828189i | ||||
\(952\) | −2.14437e9 | − | 4.69551e9i | −0.0805508 | − | 0.176382i | ||||
\(953\) | 4.79206e10 | − | 1.40708e10i | 1.79348 | − | 0.526614i | 0.796527 | − | 0.604603i | \(-0.206668\pi\) |
0.996954 | + | 0.0779890i | \(0.0248499\pi\) | |||||||
\(954\) | −8.86371e9 | + | 1.02293e10i | −0.330519 | + | 0.381439i | ||||
\(955\) | −2.57917e9 | + | 2.97652e9i | −0.0958227 | + | 0.110585i | ||||
\(956\) | 1.01092e10 | − | 2.96834e9i | 0.374210 | − | 0.109878i | ||||
\(957\) | 3.32132e9 | + | 7.27268e9i | 0.122495 | + | 0.268227i | ||||
\(958\) | −2.40799e10 | + | 1.54752e10i | −0.884861 | + | 0.568666i | ||||
\(959\) | 1.40857e10 | + | 4.13594e9i | 0.515720 | + | 0.151429i | ||||
\(960\) | −2.78290e9 | − | 1.93555e10i | −0.101519 | − | 0.706081i | ||||
\(961\) | −1.09571e10 | + | 2.39928e10i | −0.398259 | + | 0.872066i | ||||
\(962\) | −1.47684e8 | + | 1.02716e9i | −0.00534835 | + | 0.0371986i | ||||
\(963\) | 8.35707e8 | + | 5.37076e8i | 0.0301552 | + | 0.0193796i | ||||
\(964\) | 2.38135e9 | + | 2.74823e9i | 0.0856158 | + | 0.0988059i | ||||
\(965\) | −4.47814e10 | −1.60417 | ||||||||
\(966\) | −8.71294e8 | − | 1.44243e10i | −0.0310989 | − | 0.514843i | ||||
\(967\) | 2.62900e10 | 0.934970 | 0.467485 | − | 0.884001i | \(-0.345160\pi\) | ||||
0.467485 | + | 0.884001i | \(0.345160\pi\) | |||||||
\(968\) | −8.24368e9 | − | 9.51371e9i | −0.292117 | − | 0.337121i | ||||
\(969\) | −1.25761e9 | − | 8.08219e8i | −0.0444031 | − | 0.0285362i | ||||
\(970\) | 1.80375e9 | − | 1.25453e10i | 0.0634563 | − | 0.441348i | ||||
\(971\) | 2.60067e9 | − | 5.69468e9i | 0.0911629 | − | 0.199619i | −0.858558 | − | 0.512716i | \(-0.828639\pi\) |
0.949721 | + | 0.313097i | \(0.101367\pi\) | |||||||
\(972\) | 7.56411e7 | + | 5.26095e8i | 0.00264196 | + | 0.0183752i | ||||
\(973\) | −3.57803e10 | − | 1.05061e10i | −1.24523 | − | 0.365632i | ||||
\(974\) | −1.33896e10 | + | 8.60495e9i | −0.464312 | + | 0.298395i | ||||
\(975\) | 1.20755e9 | + | 2.64417e9i | 0.0417243 | + | 0.0913635i | ||||
\(976\) | 1.08338e10 | − | 3.18110e9i | 0.372999 | − | 0.109522i | ||||
\(977\) | 6.11361e9 | − | 7.05548e9i | 0.209733 | − | 0.242045i | −0.641130 | − | 0.767432i | \(-0.721534\pi\) |
0.850863 | + | 0.525387i | \(0.176080\pi\) | |||||||
\(978\) | 7.17475e8 | − | 8.28010e8i | 0.0245257 | − | 0.0283041i | ||||
\(979\) | −2.16409e10 | + | 6.35435e9i | −0.737117 | + | 0.216437i | ||||
\(980\) | −4.90804e8 | − | 1.07471e9i | −0.0166578 | − | 0.0364754i | ||||
\(981\) | 1.03123e10 | − | 6.62729e9i | 0.348749 | − | 0.224127i | ||||
\(982\) | −1.20348e10 | − | 3.53373e9i | −0.405553 | − | 0.119081i | ||||
\(983\) | −3.26025e9 | − | 2.26755e10i | −0.109475 | − | 0.761413i | −0.968416 | − | 0.249339i | \(-0.919787\pi\) |
0.858942 | − | 0.512074i | \(-0.171122\pi\) | |||||||
\(984\) | 1.15175e10 | − | 2.52199e10i | 0.385369 | − | 0.843840i | ||||
\(985\) | 2.64152e9 | − | 1.83722e10i | 0.0880699 | − | 0.612540i | ||||
\(986\) | −2.39007e9 | − | 1.53600e9i | −0.0794038 | − | 0.0510297i | ||||
\(987\) | 1.78886e10 | + | 2.06446e10i | 0.592198 | + | 0.683433i | ||||
\(988\) | 3.10416e9 | 0.102399 | ||||||||
\(989\) | 8.90550e9 | + | 3.43433e9i | 0.292733 | + | 0.112890i | ||||
\(990\) | −7.41457e9 | −0.242864 | ||||||||
\(991\) | −2.93785e10 | − | 3.39046e10i | −0.958897 | − | 1.10663i | −0.994232 | − | 0.107251i | \(-0.965795\pi\) |
0.0353350 | − | 0.999376i | \(-0.488750\pi\) | |||||||
\(992\) | −2.93561e9 | − | 1.88660e9i | −0.0954789 | − | 0.0613606i | ||||
\(993\) | 2.95697e8 | − | 2.05662e9i | 0.00958351 | − | 0.0666547i | ||||
\(994\) | −1.22492e10 | + | 2.68220e10i | −0.395599 | + | 0.866241i | ||||
\(995\) | −3.77311e9 | − | 2.62426e10i | −0.121428 | − | 0.844551i | ||||
\(996\) | −6.59273e8 | − | 1.93580e8i | −0.0211426 | − | 0.00620801i | ||||
\(997\) | 1.77117e10 | − | 1.13826e10i | 0.566013 | − | 0.363754i | −0.226124 | − | 0.974099i | \(-0.572605\pi\) |
0.792136 | + | 0.610344i | \(0.208969\pi\) | |||||||
\(998\) | 1.16341e10 | + | 2.54751e10i | 0.370489 | + | 0.811258i | ||||
\(999\) | −3.98148e8 | + | 1.16907e8i | −0.0126347 | + | 0.00370989i |
(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 | 69.8.e.a.13.5 | ✓ | 140 | |
23.16 | even | 11 | inner | 69.8.e.a.16.5 | yes | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.e.a.13.5 | ✓ | 140 | 1.1 | even | 1 | trivial | |
69.8.e.a.16.5 | yes | 140 | 23.16 | even | 11 | inner |