Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), degree \(2\), 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: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.21 | ||
Character | \(\chi\) | \(=\) | 43.37 |
Dual form | 43.11.d.a.7.16 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 13.0858i | 0.408930i | 0.978874 | + | 0.204465i | \(0.0655455\pi\) | ||||
−0.978874 | + | 0.204465i | \(0.934454\pi\) | |||||||
\(3\) | 106.382 | + | 61.4196i | 0.437785 | + | 0.252756i | 0.702658 | − | 0.711528i | \(-0.251996\pi\) |
−0.264872 | + | 0.964283i | \(0.585330\pi\) | |||||||
\(4\) | 852.763 | 0.832776 | ||||||||
\(5\) | −2217.26 | − | 1280.13i | −0.709523 | − | 0.409643i | 0.101362 | − | 0.994850i | \(-0.467680\pi\) |
−0.810884 | + | 0.585207i | \(0.801013\pi\) | |||||||
\(6\) | −803.723 | + | 1392.09i | −0.103359 | + | 0.179024i | ||||
\(7\) | 8609.98 | − | 4970.97i | 0.512285 | − | 0.295768i | −0.221487 | − | 0.975163i | \(-0.571091\pi\) |
0.733773 | + | 0.679395i | \(0.237758\pi\) | |||||||
\(8\) | 24558.9i | 0.749478i | ||||||||
\(9\) | −21979.8 | − | 38070.1i | −0.372229 | − | 0.644720i | ||||
\(10\) | 16751.5 | − | 29014.5i | 0.167515 | − | 0.290145i | ||||
\(11\) | 158615. | 0.984873 | 0.492437 | − | 0.870348i | \(-0.336106\pi\) | ||||
0.492437 | + | 0.870348i | \(0.336106\pi\) | |||||||
\(12\) | 90718.5 | + | 52376.3i | 0.364577 | + | 0.210489i | ||||
\(13\) | −296217. | − | 513064.i | −0.797800 | − | 1.38183i | −0.921046 | − | 0.389453i | \(-0.872664\pi\) |
0.123247 | − | 0.992376i | \(-0.460669\pi\) | |||||||
\(14\) | 65049.0 | + | 112668.i | 0.120949 | + | 0.209489i | ||||
\(15\) | −157251. | − | 272366.i | −0.207079 | − | 0.358672i | ||||
\(16\) | 551857. | 0.526292 | ||||||||
\(17\) | −461009. | − | 798492.i | −0.324687 | − | 0.562375i | 0.656762 | − | 0.754098i | \(-0.271926\pi\) |
−0.981449 | + | 0.191723i | \(0.938592\pi\) | |||||||
\(18\) | 498176. | − | 287622.i | 0.263646 | − | 0.152216i | ||||
\(19\) | −250215. | − | 144462.i | −0.101052 | − | 0.0583424i | 0.448622 | − | 0.893721i | \(-0.351915\pi\) |
−0.549674 | + | 0.835379i | \(0.685248\pi\) | |||||||
\(20\) | −1.89079e6 | − | 1.09165e6i | −0.590873 | − | 0.341141i | ||||
\(21\) | 1.22126e6 | 0.299028 | ||||||||
\(22\) | 2.07560e6i | 0.402744i | ||||||||
\(23\) | −3.67844e6 | + | 6.37124e6i | −0.571511 | + | 0.989885i | 0.424901 | + | 0.905240i | \(0.360309\pi\) |
−0.996411 | + | 0.0846453i | \(0.973024\pi\) | |||||||
\(24\) | −1.50840e6 | + | 2.61262e6i | −0.189435 | + | 0.328110i | ||||
\(25\) | −1.60532e6 | − | 2.78050e6i | −0.164385 | − | 0.284723i | ||||
\(26\) | 6.71383e6 | − | 3.87623e6i | 0.565072 | − | 0.326244i | ||||
\(27\) | − | 1.26535e7i | − | 0.881843i | ||||||
\(28\) | 7.34227e6 | − | 4.23906e6i | 0.426619 | − | 0.246309i | ||||
\(29\) | 1.56502e7 | − | 9.03563e6i | 0.763008 | − | 0.440523i | −0.0673665 | − | 0.997728i | \(-0.521460\pi\) |
0.830375 | + | 0.557205i | \(0.188126\pi\) | |||||||
\(30\) | 3.56412e6 | − | 2.05775e6i | 0.146672 | − | 0.0846809i | ||||
\(31\) | 2.67550e7 | − | 4.63411e7i | 0.934538 | − | 1.61867i | 0.159082 | − | 0.987265i | \(-0.449147\pi\) |
0.775456 | − | 0.631402i | \(-0.217520\pi\) | |||||||
\(32\) | 3.23698e7i | 0.964694i | ||||||||
\(33\) | 1.68737e7 | + | 9.74206e6i | 0.431163 | + | 0.248932i | ||||
\(34\) | 1.04489e7 | − | 6.03266e6i | 0.229972 | − | 0.132774i | ||||
\(35\) | −2.54541e7 | −0.484637 | ||||||||
\(36\) | −1.87435e7 | − | 3.24647e7i | −0.309984 | − | 0.536907i | ||||
\(37\) | 8.85787e7 | + | 5.11409e7i | 1.27738 | + | 0.737497i | 0.976366 | − | 0.216123i | \(-0.0693411\pi\) |
0.301015 | + | 0.953619i | \(0.402674\pi\) | |||||||
\(38\) | 1.89039e6 | − | 3.27425e6i | 0.0238580 | − | 0.0413232i | ||||
\(39\) | − | 7.27742e7i | − | 0.806593i | ||||||
\(40\) | 3.14387e7 | − | 5.44534e7i | 0.307018 | − | 0.531771i | ||||
\(41\) | −6.58197e7 | −0.568115 | −0.284058 | − | 0.958807i | \(-0.591681\pi\) | ||||
−0.284058 | + | 0.958807i | \(0.591681\pi\) | |||||||
\(42\) | 1.59811e7i | 0.122282i | ||||||||
\(43\) | 8.50972e7 | − | 1.19875e8i | 0.578859 | − | 0.815428i | ||||
\(44\) | 1.35261e8 | 0.820179 | ||||||||
\(45\) | 1.12548e8i | 0.609925i | ||||||||
\(46\) | −8.33726e7 | − | 4.81352e7i | −0.404794 | − | 0.233708i | ||||
\(47\) | 4.04928e8 | 1.76558 | 0.882792 | − | 0.469764i | \(-0.155661\pi\) | ||||
0.882792 | + | 0.469764i | \(0.155661\pi\) | |||||||
\(48\) | 5.87076e7 | + | 3.38948e7i | 0.230403 | + | 0.133023i | ||||
\(49\) | −9.18165e7 | + | 1.59031e8i | −0.325042 | + | 0.562990i | ||||
\(50\) | 3.63850e7 | − | 2.10069e7i | 0.116432 | − | 0.0672221i | ||||
\(51\) | − | 1.13260e8i | − | 0.328266i | ||||||
\(52\) | −2.52603e8 | − | 4.37521e8i | −0.664388 | − | 1.15075i | ||||
\(53\) | 2.45372e8 | − | 4.24996e8i | 0.586739 | − | 1.01626i | −0.407917 | − | 0.913019i | \(-0.633745\pi\) |
0.994656 | − | 0.103243i | \(-0.0329220\pi\) | |||||||
\(54\) | 1.65581e8 | 0.360612 | ||||||||
\(55\) | −3.51690e8 | − | 2.03048e8i | −0.698790 | − | 0.403446i | ||||
\(56\) | 1.22082e8 | + | 2.11451e8i | 0.221672 | + | 0.383946i | ||||
\(57\) | −1.77455e7 | − | 3.07362e7i | −0.0294927 | − | 0.0510829i | ||||
\(58\) | 1.18238e8 | + | 2.04795e8i | 0.180143 | + | 0.312017i | ||||
\(59\) | −1.23153e8 | −0.172260 | −0.0861298 | − | 0.996284i | \(-0.527450\pi\) | ||||
−0.0861298 | + | 0.996284i | \(0.527450\pi\) | |||||||
\(60\) | −1.34098e8 | − | 2.32264e8i | −0.172451 | − | 0.298693i | ||||
\(61\) | −1.04601e9 | + | 6.03916e8i | −1.23848 | + | 0.715035i | −0.968783 | − | 0.247911i | \(-0.920256\pi\) |
−0.269694 | + | 0.962946i | \(0.586923\pi\) | |||||||
\(62\) | 6.06409e8 | + | 3.50110e8i | 0.661922 | + | 0.382161i | ||||
\(63\) | −3.78491e8 | − | 2.18522e8i | −0.381375 | − | 0.220187i | ||||
\(64\) | 1.41518e8 | 0.131799 | ||||||||
\(65\) | 1.51679e9i | 1.30725i | ||||||||
\(66\) | −1.27482e8 | + | 2.20806e8i | −0.101796 | + | 0.176316i | ||||
\(67\) | 1.32468e8 | − | 2.29442e8i | 0.0981155 | − | 0.169941i | −0.812789 | − | 0.582558i | \(-0.802052\pi\) |
0.910905 | + | 0.412617i | \(0.135385\pi\) | |||||||
\(68\) | −3.93132e8 | − | 6.80924e8i | −0.270392 | − | 0.468332i | ||||
\(69\) | −7.82638e8 | + | 4.51856e8i | −0.500398 | + | 0.288905i | ||||
\(70\) | − | 3.33086e8i | − | 0.198183i | ||||||
\(71\) | 8.12063e8 | − | 4.68845e8i | 0.450088 | − | 0.259859i | −0.257779 | − | 0.966204i | \(-0.582991\pi\) |
0.707868 | + | 0.706345i | \(0.249657\pi\) | |||||||
\(72\) | 9.34958e8 | − | 5.39799e8i | 0.483203 | − | 0.278978i | ||||
\(73\) | −3.43765e9 | + | 1.98473e9i | −1.65824 | + | 0.957385i | −0.684712 | + | 0.728814i | \(0.740072\pi\) |
−0.973527 | + | 0.228571i | \(0.926595\pi\) | |||||||
\(74\) | −6.69218e8 | + | 1.15912e9i | −0.301585 | + | 0.522360i | ||||
\(75\) | − | 3.94393e8i | − | 0.166197i | ||||||
\(76\) | −2.13374e8 | − | 1.23191e8i | −0.0841537 | − | 0.0485862i | ||||
\(77\) | 1.36567e9 | − | 7.88470e8i | 0.504536 | − | 0.291294i | ||||
\(78\) | 9.52307e8 | 0.329840 | ||||||||
\(79\) | −3.21487e8 | − | 5.56832e8i | −0.104479 | − | 0.180963i | 0.809046 | − | 0.587745i | \(-0.199984\pi\) |
−0.913525 | + | 0.406782i | \(0.866651\pi\) | |||||||
\(80\) | −1.22361e9 | − | 7.06451e8i | −0.373416 | − | 0.215592i | ||||
\(81\) | −5.20711e8 | + | 9.01898e8i | −0.149338 | + | 0.258662i | ||||
\(82\) | − | 8.61301e8i | − | 0.232320i | ||||||
\(83\) | −2.64411e9 | + | 4.57973e9i | −0.671257 | + | 1.16265i | 0.306290 | + | 0.951938i | \(0.400912\pi\) |
−0.977548 | + | 0.210714i | \(0.932421\pi\) | |||||||
\(84\) | 1.04145e9 | 0.249023 | ||||||||
\(85\) | 2.36062e9i | 0.532023i | ||||||||
\(86\) | 1.56865e9 | + | 1.11356e9i | 0.333453 | + | 0.236713i | ||||
\(87\) | 2.21986e9 | 0.445379 | ||||||||
\(88\) | 3.89540e9i | 0.738140i | ||||||||
\(89\) | −1.78059e8 | − | 1.02802e8i | −0.0318870 | − | 0.0184100i | 0.483972 | − | 0.875084i | \(-0.339194\pi\) |
−0.515859 | + | 0.856674i | \(0.672527\pi\) | |||||||
\(90\) | −1.47278e9 | −0.249417 | ||||||||
\(91\) | −5.10085e9 | − | 2.94498e9i | −0.817402 | − | 0.471927i | ||||
\(92\) | −3.13683e9 | + | 5.43316e9i | −0.475940 | + | 0.824353i | ||||
\(93\) | 5.69250e9 | − | 3.28657e9i | 0.818254 | − | 0.472419i | ||||
\(94\) | 5.29879e9i | 0.722001i | ||||||||
\(95\) | 3.69861e8 | + | 6.40617e8i | 0.0477991 | + | 0.0827905i | ||||
\(96\) | −1.98814e9 | + | 3.44356e9i | −0.243832 | + | 0.422329i | ||||
\(97\) | −1.89193e9 | −0.220316 | −0.110158 | − | 0.993914i | \(-0.535136\pi\) | ||||
−0.110158 | + | 0.993914i | \(0.535136\pi\) | |||||||
\(98\) | −2.08104e9 | − | 1.20149e9i | −0.230224 | − | 0.132920i | ||||
\(99\) | −3.48632e9 | − | 6.03848e9i | −0.366599 | − | 0.634967i | ||||
\(100\) | −1.36896e9 | − | 2.37111e9i | −0.136896 | − | 0.237111i | ||||
\(101\) | −7.92080e9 | − | 1.37192e10i | −0.753637 | − | 1.30534i | −0.946049 | − | 0.324023i | \(-0.894964\pi\) |
0.192412 | − | 0.981314i | \(-0.438369\pi\) | |||||||
\(102\) | 1.48210e9 | 0.134238 | ||||||||
\(103\) | −4.42109e9 | − | 7.65755e9i | −0.381367 | − | 0.660547i | 0.609891 | − | 0.792485i | \(-0.291213\pi\) |
−0.991258 | + | 0.131938i | \(0.957880\pi\) | |||||||
\(104\) | 1.26003e10 | − | 7.27477e9i | 1.03565 | − | 0.597933i | ||||
\(105\) | −2.70785e9 | − | 1.56338e9i | −0.212167 | − | 0.122495i | ||||
\(106\) | 5.56141e9 | + | 3.21088e9i | 0.415581 | + | 0.239936i | ||||
\(107\) | 2.72214e10 | 1.94085 | 0.970424 | − | 0.241408i | \(-0.0776093\pi\) | ||||
0.970424 | + | 0.241408i | \(0.0776093\pi\) | |||||||
\(108\) | − | 1.07904e10i | − | 0.734378i | ||||||
\(109\) | −5.90835e8 | + | 1.02336e9i | −0.0384002 | + | 0.0665111i | −0.884587 | − | 0.466376i | \(-0.845560\pi\) |
0.846187 | + | 0.532887i | \(0.178893\pi\) | |||||||
\(110\) | 2.65704e9 | − | 4.60213e9i | 0.164981 | − | 0.285756i | ||||
\(111\) | 6.28211e9 | + | 1.08809e10i | 0.372813 | + | 0.645731i | ||||
\(112\) | 4.75148e9 | − | 2.74327e9i | 0.269612 | − | 0.155660i | ||||
\(113\) | − | 6.97068e9i | − | 0.378340i | −0.981944 | − | 0.189170i | \(-0.939420\pi\) | ||
0.981944 | − | 0.189170i | \(-0.0605798\pi\) | |||||||
\(114\) | 4.02207e8 | − | 2.32214e8i | 0.0208894 | − | 0.0120605i | ||||
\(115\) | 1.63121e10 | − | 9.41779e9i | 0.810999 | − | 0.468231i | ||||
\(116\) | 1.33459e10 | − | 7.70525e9i | 0.635415 | − | 0.366857i | ||||
\(117\) | −1.30216e10 | + | 2.25540e10i | −0.593929 | + | 1.02871i | ||||
\(118\) | − | 1.61155e9i | − | 0.0704422i | ||||||
\(119\) | −7.93856e9 | − | 4.58333e9i | −0.332665 | − | 0.192064i | ||||
\(120\) | 6.68901e9 | − | 3.86190e9i | 0.268816 | − | 0.155201i | ||||
\(121\) | −7.78769e8 | −0.0300249 | ||||||||
\(122\) | −7.90271e9 | − | 1.36879e10i | −0.292400 | − | 0.506451i | ||||
\(123\) | −7.00202e9 | − | 4.04262e9i | −0.248713 | − | 0.143594i | ||||
\(124\) | 2.28157e10 | − | 3.95179e10i | 0.778261 | − | 1.34799i | ||||
\(125\) | 3.32227e10i | 1.08864i | ||||||||
\(126\) | 2.85952e9 | − | 4.95284e9i | 0.0900412 | − | 0.155956i | ||||
\(127\) | −2.48685e10 | −0.752715 | −0.376358 | − | 0.926474i | \(-0.622824\pi\) | ||||
−0.376358 | + | 0.926474i | \(0.622824\pi\) | |||||||
\(128\) | 3.49985e10i | 1.01859i | ||||||||
\(129\) | 1.64155e10 | − | 7.52586e9i | 0.459520 | − | 0.210672i | ||||
\(130\) | −1.98484e10 | −0.534575 | ||||||||
\(131\) | 5.73191e10i | 1.48574i | 0.669436 | + | 0.742870i | \(0.266536\pi\) | ||||
−0.669436 | + | 0.742870i | \(0.733464\pi\) | |||||||
\(132\) | 1.43893e10 | + | 8.30766e9i | 0.359062 | + | 0.207305i | ||||
\(133\) | −2.87246e9 | −0.0690233 | ||||||||
\(134\) | 3.00242e9 | + | 1.73345e9i | 0.0694940 | + | 0.0401224i | ||||
\(135\) | −1.61982e10 | + | 2.80560e10i | −0.361241 | + | 0.625688i | ||||
\(136\) | 1.96101e10 | − | 1.13219e10i | 0.421487 | − | 0.243346i | ||||
\(137\) | 2.67719e10i | 0.554723i | 0.960766 | + | 0.277362i | \(0.0894600\pi\) | ||||
−0.960766 | + | 0.277362i | \(0.910540\pi\) | |||||||
\(138\) | −5.91289e9 | − | 1.02414e10i | −0.118142 | − | 0.204628i | ||||
\(139\) | 3.84198e10 | − | 6.65450e10i | 0.740425 | − | 1.28245i | −0.211877 | − | 0.977296i | \(-0.567958\pi\) |
0.952302 | − | 0.305157i | \(-0.0987089\pi\) | |||||||
\(140\) | −2.17063e10 | −0.403594 | ||||||||
\(141\) | 4.30770e10 | + | 2.48705e10i | 0.772947 | + | 0.446261i | ||||
\(142\) | 6.13519e9 | + | 1.06265e10i | 0.106264 | + | 0.184055i | ||||
\(143\) | −4.69845e10 | − | 8.13795e10i | −0.785731 | − | 1.36093i | ||||
\(144\) | −1.21297e10 | − | 2.10092e10i | −0.195901 | − | 0.339311i | ||||
\(145\) | −4.62673e10 | −0.721829 | ||||||||
\(146\) | −2.59717e10 | − | 4.49843e10i | −0.391504 | − | 0.678104i | ||||
\(147\) | −1.95352e10 | + | 1.12787e10i | −0.284598 | + | 0.164313i | ||||
\(148\) | 7.55366e10 | + | 4.36111e10i | 1.06377 | + | 0.614169i | ||||
\(149\) | 1.01669e10 | + | 5.86989e9i | 0.138439 | + | 0.0799279i | 0.567620 | − | 0.823291i | \(-0.307864\pi\) |
−0.429181 | + | 0.903219i | \(0.641198\pi\) | |||||||
\(150\) | 5.16094e9 | 0.0679630 | ||||||||
\(151\) | 3.40516e10i | 0.433763i | 0.976198 | + | 0.216882i | \(0.0695885\pi\) | ||||
−0.976198 | + | 0.216882i | \(0.930411\pi\) | |||||||
\(152\) | 3.54782e9 | − | 6.14500e9i | 0.0437263 | − | 0.0757362i | ||||
\(153\) | −2.02658e10 | + | 3.51013e10i | −0.241716 | + | 0.418665i | ||||
\(154\) | 1.03177e10 | + | 1.78708e10i | 0.119119 | + | 0.206320i | ||||
\(155\) | −1.18646e11 | + | 6.85001e10i | −1.32615 | + | 0.765654i | ||||
\(156\) | − | 6.20591e10i | − | 0.671711i | ||||||
\(157\) | −1.57978e11 | + | 9.12088e10i | −1.65615 | + | 0.956177i | −0.681680 | + | 0.731651i | \(0.738750\pi\) |
−0.974468 | + | 0.224527i | \(0.927916\pi\) | |||||||
\(158\) | 7.28658e9 | − | 4.20691e9i | 0.0740011 | − | 0.0427245i | ||||
\(159\) | 5.22062e10 | − | 3.01413e10i | 0.513732 | − | 0.296603i | ||||
\(160\) | 4.14377e10 | − | 7.17721e10i | 0.395180 | − | 0.684472i | ||||
\(161\) | 7.31417e10i | 0.676138i | ||||||||
\(162\) | −1.18020e10 | − | 6.81391e9i | −0.105775 | − | 0.0610690i | ||||
\(163\) | 9.37862e10 | − | 5.41475e10i | 0.815082 | − | 0.470588i | −0.0336358 | − | 0.999434i | \(-0.510709\pi\) |
0.848717 | + | 0.528847i | \(0.177375\pi\) | |||||||
\(164\) | −5.61286e10 | −0.473113 | ||||||||
\(165\) | −2.49423e10 | − | 4.32013e10i | −0.203947 | − | 0.353246i | ||||
\(166\) | −5.99293e10 | − | 3.46002e10i | −0.475444 | − | 0.274498i | ||||
\(167\) | −7.95923e10 | + | 1.37858e11i | −0.612758 | + | 1.06133i | 0.378016 | + | 0.925799i | \(0.376607\pi\) |
−0.990773 | + | 0.135528i | \(0.956727\pi\) | |||||||
\(168\) | 2.99928e10i | 0.224115i | ||||||||
\(169\) | −1.06560e11 | + | 1.84568e11i | −0.772969 | + | 1.33882i | ||||
\(170\) | −3.08905e10 | −0.217561 | ||||||||
\(171\) | 1.27009e10i | 0.0868670i | ||||||||
\(172\) | 7.25677e10 | − | 1.02225e11i | 0.482060 | − | 0.679068i | ||||
\(173\) | −1.80024e10 | −0.116172 | −0.0580858 | − | 0.998312i | \(-0.518500\pi\) | ||||
−0.0580858 | + | 0.998312i | \(0.518500\pi\) | |||||||
\(174\) | 2.90486e10i | 0.182129i | ||||||||
\(175\) | −2.76436e10 | − | 1.59600e10i | −0.168424 | − | 0.0972397i | ||||
\(176\) | 8.75327e10 | 0.518331 | ||||||||
\(177\) | −1.31012e10 | − | 7.56398e9i | −0.0754127 | − | 0.0435396i | ||||
\(178\) | 1.34525e9 | − | 2.33004e9i | 0.00752839 | − | 0.0130396i | ||||
\(179\) | 7.30277e10 | − | 4.21626e10i | 0.397395 | − | 0.229436i | −0.287964 | − | 0.957641i | \(-0.592978\pi\) |
0.685359 | + | 0.728205i | \(0.259645\pi\) | |||||||
\(180\) | 9.59769e10i | 0.507931i | ||||||||
\(181\) | 1.12228e11 | + | 1.94384e11i | 0.577708 | + | 1.00062i | 0.995742 | + | 0.0921876i | \(0.0293859\pi\) |
−0.418034 | + | 0.908431i | \(0.637281\pi\) | |||||||
\(182\) | 3.85373e10 | − | 6.67486e10i | 0.192985 | − | 0.334261i | ||||
\(183\) | −1.48369e11 | −0.722916 | ||||||||
\(184\) | −1.56471e11 | − | 9.03383e10i | −0.741897 | − | 0.428334i | ||||
\(185\) | −1.30935e11 | − | 2.26785e11i | −0.604221 | − | 1.04654i | ||||
\(186\) | 4.30073e10 | + | 7.44907e10i | 0.193187 | + | 0.334609i | ||||
\(187\) | −7.31229e10 | − | 1.26653e11i | −0.319776 | − | 0.553868i | ||||
\(188\) | 3.45307e11 | 1.47034 | ||||||||
\(189\) | −6.29001e10 | − | 1.08946e11i | −0.260821 | − | 0.451755i | ||||
\(190\) | −8.38297e9 | + | 4.83991e9i | −0.0338556 | + | 0.0195465i | ||||
\(191\) | 1.95795e11 | + | 1.13042e11i | 0.770256 | + | 0.444708i | 0.832966 | − | 0.553324i | \(-0.186641\pi\) |
−0.0627097 | + | 0.998032i | \(0.519974\pi\) | |||||||
\(192\) | 1.50550e10 | + | 8.69199e9i | 0.0576997 | + | 0.0333129i | ||||
\(193\) | 3.58661e11 | 1.33936 | 0.669680 | − | 0.742649i | \(-0.266431\pi\) | ||||
0.669680 | + | 0.742649i | \(0.266431\pi\) | |||||||
\(194\) | − | 2.47573e10i | − | 0.0900938i | ||||||
\(195\) | −9.31608e10 | + | 1.61359e11i | −0.330415 | + | 0.572296i | ||||
\(196\) | −7.82976e10 | + | 1.35615e11i | −0.270688 | + | 0.468845i | ||||
\(197\) | −1.31327e10 | − | 2.27466e10i | −0.0442613 | − | 0.0766628i | 0.843046 | − | 0.537841i | \(-0.180760\pi\) |
−0.887307 | + | 0.461179i | \(0.847427\pi\) | |||||||
\(198\) | 7.90181e10 | − | 4.56211e10i | 0.259657 | − | 0.149913i | ||||
\(199\) | 6.09477e10i | 0.195295i | 0.995221 | + | 0.0976477i | \(0.0311318\pi\) | ||||
−0.995221 | + | 0.0976477i | \(0.968868\pi\) | |||||||
\(200\) | 6.82860e10 | − | 3.94250e10i | 0.213394 | − | 0.123203i | ||||
\(201\) | 2.81844e10 | − | 1.62723e10i | 0.0859070 | − | 0.0495985i | ||||
\(202\) | 1.79527e11 | − | 1.03650e11i | 0.533792 | − | 0.308185i | ||||
\(203\) | 8.98318e10 | − | 1.55593e11i | 0.260585 | − | 0.451347i | ||||
\(204\) | − | 9.65839e10i | − | 0.273372i | ||||||
\(205\) | 1.45939e11 | + | 8.42581e10i | 0.403091 | + | 0.232725i | ||||
\(206\) | 1.00205e11 | − | 5.78534e10i | 0.270118 | − | 0.155953i | ||||
\(207\) | 3.23405e11 | 0.850932 | ||||||||
\(208\) | −1.63470e11 | − | 2.83138e11i | −0.419875 | − | 0.727246i | ||||
\(209\) | −3.96878e10 | − | 2.29138e10i | −0.0995234 | − | 0.0574599i | ||||
\(210\) | 2.04580e10 | − | 3.54343e10i | 0.0500918 | − | 0.0867616i | ||||
\(211\) | − | 8.10416e11i | − | 1.93774i | −0.247570 | − | 0.968870i | \(-0.579632\pi\) | ||
0.247570 | − | 0.968870i | \(-0.420368\pi\) | |||||||
\(212\) | 2.09244e11 | − | 3.62421e11i | 0.488622 | − | 0.846319i | ||||
\(213\) | 1.15185e11 | 0.262723 | ||||||||
\(214\) | 3.56213e11i | 0.793671i | ||||||||
\(215\) | −3.42138e11 | + | 1.56857e11i | −0.744748 | + | 0.341439i | ||||
\(216\) | 3.10755e11 | 0.660922 | ||||||||
\(217\) | − | 5.31994e11i | − | 1.10563i | ||||||
\(218\) | −1.33914e10 | − | 7.73153e9i | −0.0271984 | − | 0.0157030i | ||||
\(219\) | −4.87605e11 | −0.967937 | ||||||||
\(220\) | −2.99908e11 | − | 1.73152e11i | −0.581935 | − | 0.335981i | ||||
\(221\) | −2.73118e11 | + | 4.73054e11i | −0.518071 | + | 0.897325i | ||||
\(222\) | −1.42385e11 | + | 8.22063e10i | −0.264059 | + | 0.152454i | ||||
\(223\) | 3.14234e11i | 0.569809i | 0.958556 | + | 0.284904i | \(0.0919619\pi\) | ||||
−0.958556 | + | 0.284904i | \(0.908038\pi\) | |||||||
\(224\) | 1.60909e11 | + | 2.78703e11i | 0.285326 | + | 0.494199i | ||||
\(225\) | −7.05693e10 | + | 1.22230e11i | −0.122378 | + | 0.211965i | ||||
\(226\) | 9.12167e10 | 0.154715 | ||||||||
\(227\) | 6.30307e11 | + | 3.63908e11i | 1.04574 | + | 0.603757i | 0.921453 | − | 0.388489i | \(-0.127003\pi\) |
0.124285 | + | 0.992247i | \(0.460336\pi\) | |||||||
\(228\) | −1.51327e10 | − | 2.62107e10i | −0.0245608 | − | 0.0425406i | ||||
\(229\) | −7.42012e10 | − | 1.28520e11i | −0.117824 | − | 0.204077i | 0.801081 | − | 0.598556i | \(-0.204259\pi\) |
−0.918905 | + | 0.394479i | \(0.870925\pi\) | |||||||
\(230\) | 1.23239e11 | + | 2.13456e11i | 0.191474 | + | 0.331642i | ||||
\(231\) | 1.93710e11 | 0.294505 | ||||||||
\(232\) | 2.21905e11 | + | 3.84351e11i | 0.330162 | + | 0.571858i | ||||
\(233\) | −2.48436e11 | + | 1.43434e11i | −0.361772 | + | 0.208869i | −0.669858 | − | 0.742490i | \(-0.733645\pi\) |
0.308086 | + | 0.951359i | \(0.400312\pi\) | |||||||
\(234\) | −2.95137e11 | − | 1.70397e11i | −0.420673 | − | 0.242875i | ||||
\(235\) | −8.97829e11 | − | 5.18362e11i | −1.25272 | − | 0.723259i | ||||
\(236\) | −1.05020e11 | −0.143454 | ||||||||
\(237\) | − | 7.89824e10i | − | 0.105630i | ||||||
\(238\) | 5.99764e10 | − | 1.03882e11i | 0.0785409 | − | 0.136037i | ||||
\(239\) | 1.33505e11 | − | 2.31238e11i | 0.171202 | − | 0.296531i | −0.767638 | − | 0.640883i | \(-0.778568\pi\) |
0.938840 | + | 0.344352i | \(0.111902\pi\) | |||||||
\(240\) | −8.67799e10 | − | 1.50307e11i | −0.108984 | − | 0.188766i | ||||
\(241\) | 1.19409e12 | − | 6.89407e11i | 1.46876 | − | 0.847990i | 0.469375 | − | 0.882999i | \(-0.344479\pi\) |
0.999387 | + | 0.0350092i | \(0.0111461\pi\) | |||||||
\(242\) | − | 1.01908e10i | − | 0.0122781i | ||||||
\(243\) | −7.57862e11 | + | 4.37552e11i | −0.894455 | + | 0.516414i | ||||
\(244\) | −8.92001e11 | + | 5.14997e11i | −1.03137 | + | 0.595464i | ||||
\(245\) | 4.07162e11 | − | 2.35075e11i | 0.461250 | − | 0.266303i | ||||
\(246\) | 5.29008e10 | − | 9.16268e10i | 0.0587201 | − | 0.101706i | ||||
\(247\) | 1.71168e11i | 0.186182i | ||||||||
\(248\) | 1.13808e12 | + | 6.57074e11i | 1.21315 | + | 0.700415i | ||||
\(249\) | −5.62571e11 | + | 3.24800e11i | −0.587734 | + | 0.339328i | ||||
\(250\) | −4.34745e11 | −0.445179 | ||||||||
\(251\) | −2.71066e10 | − | 4.69500e10i | −0.0272086 | − | 0.0471267i | 0.852100 | − | 0.523378i | \(-0.175328\pi\) |
−0.879309 | + | 0.476252i | \(0.841995\pi\) | |||||||
\(252\) | −3.22763e11 | − | 1.86347e11i | −0.317600 | − | 0.183366i | ||||
\(253\) | −5.83455e11 | + | 1.01057e12i | −0.562865 | + | 0.974911i | ||||
\(254\) | − | 3.25423e11i | − | 0.307808i | ||||||
\(255\) | −1.44988e11 | + | 2.51127e11i | −0.134472 | + | 0.232912i | ||||
\(256\) | −3.13068e11 | −0.284734 | ||||||||
\(257\) | − | 1.05944e12i | − | 0.944953i | −0.881343 | − | 0.472477i | \(-0.843360\pi\) | ||
0.881343 | − | 0.472477i | \(-0.156640\pi\) | |||||||
\(258\) | 9.84817e10 | + | 2.14809e11i | 0.0861504 | + | 0.187912i | ||||
\(259\) | 1.01688e12 | 0.872512 | ||||||||
\(260\) | 1.29346e12i | 1.08865i | ||||||||
\(261\) | −6.87974e11 | − | 3.97202e11i | −0.568028 | − | 0.327951i | ||||
\(262\) | −7.50064e11 | −0.607564 | ||||||||
\(263\) | 1.61701e12 | + | 9.33582e11i | 1.28509 | + | 0.741949i | 0.977775 | − | 0.209658i | \(-0.0672352\pi\) |
0.307318 | + | 0.951607i | \(0.400568\pi\) | |||||||
\(264\) | −2.39254e11 | + | 4.14400e11i | −0.186569 | + | 0.323147i | ||||
\(265\) | −1.08811e12 | + | 6.28218e11i | −0.832610 | + | 0.480707i | ||||
\(266\) | − | 3.75883e10i | − | 0.0282257i | ||||||
\(267\) | −1.26282e10 | − | 2.18726e10i | −0.00930644 | − | 0.0161192i | ||||
\(268\) | 1.12964e11 | − | 1.95659e11i | 0.0817082 | − | 0.141523i | ||||
\(269\) | 9.77943e11 | 0.694308 | 0.347154 | − | 0.937808i | \(-0.387148\pi\) | ||||
0.347154 | + | 0.937808i | \(0.387148\pi\) | |||||||
\(270\) | −3.67135e11 | − | 2.11965e11i | −0.255863 | − | 0.147722i | ||||
\(271\) | −6.77287e11 | − | 1.17310e12i | −0.463368 | − | 0.802577i | 0.535758 | − | 0.844371i | \(-0.320026\pi\) |
−0.999126 | + | 0.0417944i | \(0.986693\pi\) | |||||||
\(272\) | −2.54411e11 | − | 4.40653e11i | −0.170880 | − | 0.295973i | ||||
\(273\) | −3.61759e11 | − | 6.26585e11i | −0.238565 | − | 0.413206i | ||||
\(274\) | −3.50331e11 | −0.226843 | ||||||||
\(275\) | −2.54628e11 | − | 4.41029e11i | −0.161898 | − | 0.280416i | ||||
\(276\) | −6.67405e11 | + | 3.85326e11i | −0.416719 | + | 0.240593i | ||||
\(277\) | 1.29588e12 | + | 7.48179e11i | 0.794635 | + | 0.458782i | 0.841592 | − | 0.540114i | \(-0.181619\pi\) |
−0.0469570 | + | 0.998897i | \(0.514952\pi\) | |||||||
\(278\) | 8.70793e11 | + | 5.02752e11i | 0.524434 | + | 0.302782i | ||||
\(279\) | −2.35228e12 | −1.39145 | ||||||||
\(280\) | − | 6.25123e11i | − | 0.363225i | ||||||
\(281\) | −1.51272e12 | + | 2.62010e12i | −0.863427 | + | 1.49550i | 0.00517265 | + | 0.999987i | \(0.498353\pi\) |
−0.868600 | + | 0.495514i | \(0.834980\pi\) | |||||||
\(282\) | −3.25450e11 | + | 5.63695e11i | −0.182490 | + | 0.316081i | ||||
\(283\) | 9.14062e11 | + | 1.58320e12i | 0.503551 | + | 0.872176i | 0.999992 | + | 0.00410494i | \(0.00130665\pi\) |
−0.496441 | + | 0.868071i | \(0.665360\pi\) | |||||||
\(284\) | 6.92497e11 | − | 3.99813e11i | 0.374823 | − | 0.216404i | ||||
\(285\) | 9.08668e10i | 0.0483260i | ||||||||
\(286\) | 1.06491e12 | − | 6.14828e11i | 0.556524 | − | 0.321309i | ||||
\(287\) | −5.66706e11 | + | 3.27188e11i | −0.291037 | + | 0.168030i | ||||
\(288\) | 1.23232e12 | − | 7.11480e11i | 0.621958 | − | 0.359087i | ||||
\(289\) | 5.82938e11 | − | 1.00968e12i | 0.289156 | − | 0.500834i | ||||
\(290\) | − | 6.05443e11i | − | 0.295178i | ||||||
\(291\) | −2.01267e11 | − | 1.16201e11i | −0.0964510 | − | 0.0556860i | ||||
\(292\) | −2.93150e12 | + | 1.69250e12i | −1.38094 | + | 0.797287i | ||||
\(293\) | 3.77202e11 | 0.174677 | 0.0873386 | − | 0.996179i | \(-0.472164\pi\) | ||||
0.0873386 | + | 0.996179i | \(0.472164\pi\) | |||||||
\(294\) | −1.47590e11 | − | 2.55633e11i | −0.0671924 | − | 0.116381i | ||||
\(295\) | 2.73061e11 | + | 1.57652e11i | 0.122222 | + | 0.0705649i | ||||
\(296\) | −1.25596e12 | + | 2.17539e12i | −0.552737 | + | 0.957369i | ||||
\(297\) | − | 2.00703e12i | − | 0.868504i | ||||||
\(298\) | −7.68120e10 | + | 1.33042e11i | −0.0326849 | + | 0.0566120i | ||||
\(299\) | 4.35847e12 | 1.82380 | ||||||||
\(300\) | − | 3.36324e11i | − | 0.138405i | ||||||
\(301\) | 1.36791e11 | − | 1.45513e12i | 0.0553636 | − | 0.588940i | ||||
\(302\) | −4.45591e11 | −0.177379 | ||||||||
\(303\) | − | 1.94597e12i | − | 0.761944i | ||||||
\(304\) | −1.38083e11 | − | 7.97222e10i | −0.0531829 | − | 0.0307051i | ||||
\(305\) | 3.09238e12 | 1.17164 | ||||||||
\(306\) | −4.59328e11 | − | 2.65193e11i | −0.171205 | − | 0.0988451i | ||||
\(307\) | 1.90022e11 | − | 3.29128e11i | 0.0696806 | − | 0.120690i | −0.829080 | − | 0.559130i | \(-0.811135\pi\) |
0.898761 | + | 0.438439i | \(0.144469\pi\) | |||||||
\(308\) | 1.16459e12 | − | 6.72378e11i | 0.420166 | − | 0.242583i | ||||
\(309\) | − | 1.08617e12i | − | 0.385571i | ||||||
\(310\) | −8.96376e11 | − | 1.55257e12i | −0.313099 | − | 0.542304i | ||||
\(311\) | 1.63826e12 | − | 2.83755e12i | 0.563094 | − | 0.975307i | −0.434130 | − | 0.900850i | \(-0.642944\pi\) |
0.997224 | − | 0.0744572i | \(-0.0237224\pi\) | |||||||
\(312\) | 1.78725e12 | 0.604524 | ||||||||
\(313\) | −8.43212e11 | − | 4.86829e11i | −0.280682 | − | 0.162052i | 0.353050 | − | 0.935604i | \(-0.385145\pi\) |
−0.633732 | + | 0.773552i | \(0.718478\pi\) | |||||||
\(314\) | −1.19354e12 | − | 2.06727e12i | −0.391010 | − | 0.677249i | ||||
\(315\) | 5.59474e11 | + | 9.69038e11i | 0.180396 | + | 0.312455i | ||||
\(316\) | −2.74152e11 | − | 4.74845e11i | −0.0870074 | − | 0.150701i | ||||
\(317\) | −2.70289e12 | −0.844367 | −0.422184 | − | 0.906510i | \(-0.638736\pi\) | ||||
−0.422184 | + | 0.906510i | \(0.638736\pi\) | |||||||
\(318\) | 3.94422e11 | + | 6.83159e11i | 0.121290 | + | 0.210081i | ||||
\(319\) | 2.48235e12 | − | 1.43319e12i | 0.751466 | − | 0.433859i | ||||
\(320\) | −3.13782e11 | − | 1.81162e11i | −0.0935144 | − | 0.0539906i | ||||
\(321\) | 2.89586e12 | + | 1.67193e12i | 0.849675 | + | 0.490560i | ||||
\(322\) | −9.57115e11 | −0.276493 | ||||||||
\(323\) | 2.66393e11i | 0.0757722i | ||||||||
\(324\) | −4.44043e11 | + | 7.69105e11i | −0.124366 | + | 0.215407i | ||||
\(325\) | −9.51049e11 | + | 1.64727e12i | −0.262293 | + | 0.454304i | ||||
\(326\) | 7.08562e11 | + | 1.22727e12i | 0.192438 | + | 0.333312i | ||||
\(327\) | −1.25708e11 | + | 7.25777e10i | −0.0336221 | + | 0.0194117i | ||||
\(328\) | − | 1.61646e12i | − | 0.425790i | ||||||
\(329\) | 3.48642e12 | − | 2.01289e12i | 0.904483 | − | 0.522203i | ||||
\(330\) | 5.65322e11 | − | 3.26389e11i | 0.144453 | − | 0.0834000i | ||||
\(331\) | 1.12612e11 | − | 6.50168e10i | 0.0283430 | − | 0.0163639i | −0.485762 | − | 0.874091i | \(-0.661458\pi\) |
0.514105 | + | 0.857728i | \(0.328124\pi\) | |||||||
\(332\) | −2.25480e12 | + | 3.90543e12i | −0.559007 | + | 0.968229i | ||||
\(333\) | − | 4.49626e12i | − | 1.09807i | ||||||
\(334\) | −1.80398e12 | − | 1.04153e12i | −0.434009 | − | 0.250575i | ||||
\(335\) | −5.87432e11 | + | 3.39154e11i | −0.139230 | + | 0.0803846i | ||||
\(336\) | 6.73961e11 | 0.157376 | ||||||||
\(337\) | 1.43438e12 | + | 2.48443e12i | 0.330002 | + | 0.571579i | 0.982512 | − | 0.186200i | \(-0.0596174\pi\) |
−0.652510 | + | 0.757780i | \(0.726284\pi\) | |||||||
\(338\) | −2.41521e12 | − | 1.39442e12i | −0.547484 | − | 0.316090i | ||||
\(339\) | 4.28136e11 | − | 7.41553e11i | 0.0956276 | − | 0.165632i | ||||
\(340\) | 2.01305e12i | 0.443056i | ||||||||
\(341\) | 4.24374e12 | − | 7.35038e12i | 0.920401 | − | 1.59418i | ||||
\(342\) | −1.66201e11 | −0.0355226 | ||||||||
\(343\) | 4.63402e12i | 0.976085i | ||||||||
\(344\) | 2.94399e12 | + | 2.08989e12i | 0.611145 | + | 0.433842i | ||||
\(345\) | 2.31375e12 | 0.473392 | ||||||||
\(346\) | − | 2.35575e11i | − | 0.0475061i | ||||||
\(347\) | 1.60577e11 | + | 9.27094e10i | 0.0319181 | + | 0.0184279i | 0.515874 | − | 0.856664i | \(-0.327467\pi\) |
−0.483956 | + | 0.875092i | \(0.660801\pi\) | |||||||
\(348\) | 1.89301e12 | 0.370901 | ||||||||
\(349\) | −3.98983e12 | − | 2.30353e12i | −0.770598 | − | 0.444905i | 0.0624901 | − | 0.998046i | \(-0.480096\pi\) |
−0.833088 | + | 0.553141i | \(0.813429\pi\) | |||||||
\(350\) | 2.08849e11 | − | 3.61738e11i | 0.0397643 | − | 0.0688737i | ||||
\(351\) | −6.49204e12 | + | 3.74818e12i | −1.21856 | + | 0.703534i | ||||
\(352\) | 5.13432e12i | 0.950102i | ||||||||
\(353\) | 4.88713e12 | + | 8.46477e12i | 0.891622 | + | 1.54433i | 0.837930 | + | 0.545777i | \(0.183765\pi\) |
0.0536916 | + | 0.998558i | \(0.482901\pi\) | |||||||
\(354\) | 9.89805e10 | − | 1.71439e11i | 0.0178046 | − | 0.0308386i | ||||
\(355\) | −2.40074e12 | −0.425797 | ||||||||
\(356\) | −1.51842e11 | − | 8.76660e10i | −0.0265547 | − | 0.0153314i | ||||
\(357\) | −5.63013e11 | − | 9.75167e11i | −0.0970906 | − | 0.168166i | ||||
\(358\) | 5.51730e11 | + | 9.55624e11i | 0.0938234 | + | 0.162507i | ||||
\(359\) | −4.83061e11 | − | 8.36686e11i | −0.0810083 | − | 0.140311i | 0.822675 | − | 0.568512i | \(-0.192481\pi\) |
−0.903683 | + | 0.428201i | \(0.859147\pi\) | |||||||
\(360\) | −2.76406e12 | −0.457125 | ||||||||
\(361\) | −3.02379e12 | − | 5.23737e12i | −0.493192 | − | 0.854234i | ||||
\(362\) | −2.54367e12 | + | 1.46859e12i | −0.409183 | + | 0.236242i | ||||
\(363\) | −8.28469e10 | − | 4.78317e10i | −0.0131445 | − | 0.00758897i | ||||
\(364\) | −4.34982e12 | − | 2.51137e12i | −0.680713 | − | 0.393010i | ||||
\(365\) | 1.01629e13 | 1.56874 | ||||||||
\(366\) | − | 1.94152e12i | − | 0.295622i | ||||||
\(367\) | 7.52445e11 | − | 1.30327e12i | 0.113017 | − | 0.195751i | −0.803968 | − | 0.594672i | \(-0.797282\pi\) |
0.916985 | + | 0.398921i | \(0.130615\pi\) | |||||||
\(368\) | −2.02997e12 | + | 3.51601e12i | −0.300781 | + | 0.520969i | ||||
\(369\) | 1.44670e12 | + | 2.50576e12i | 0.211469 | + | 0.366275i | ||||
\(370\) | 2.96766e12 | − | 1.71338e12i | 0.427962 | − | 0.247084i | ||||
\(371\) | − | 4.87895e12i | − | 0.694155i | ||||||
\(372\) | 4.85435e12 | − | 2.80266e12i | 0.681423 | − | 0.393419i | ||||
\(373\) | −3.49361e12 | + | 2.01704e12i | −0.483872 | + | 0.279364i | −0.722029 | − | 0.691863i | \(-0.756790\pi\) |
0.238157 | + | 0.971227i | \(0.423457\pi\) | |||||||
\(374\) | 1.65735e12 | − | 9.56870e11i | 0.226493 | − | 0.130766i | ||||
\(375\) | −2.04053e12 | + | 3.53430e12i | −0.275161 | + | 0.476592i | ||||
\(376\) | 9.94457e12i | 1.32327i | ||||||||
\(377\) | −9.27171e12 | − | 5.35302e12i | −1.21746 | − | 0.702898i | ||||
\(378\) | 1.42565e12 | − | 8.23097e11i | 0.184736 | − | 0.106658i | ||||
\(379\) | −2.40555e12 | −0.307622 | −0.153811 | − | 0.988100i | \(-0.549155\pi\) | ||||
−0.153811 | + | 0.988100i | \(0.549155\pi\) | |||||||
\(380\) | 3.15403e11 | + | 5.46295e11i | 0.0398060 | + | 0.0689460i | ||||
\(381\) | −2.64556e12 | − | 1.52741e12i | −0.329528 | − | 0.190253i | ||||
\(382\) | −1.47925e12 | + | 2.56213e12i | −0.181854 | + | 0.314981i | ||||
\(383\) | − | 5.61584e12i | − | 0.681430i | −0.940167 | − | 0.340715i | \(-0.889331\pi\) | ||
0.940167 | − | 0.340715i | \(-0.110669\pi\) | |||||||
\(384\) | −2.14960e12 | + | 3.72321e12i | −0.257455 | + | 0.445924i | ||||
\(385\) | −4.03739e12 | −0.477306 | ||||||||
\(386\) | 4.69336e12i | 0.547705i | ||||||||
\(387\) | −6.43406e12 | − | 6.04837e11i | −0.741191 | − | 0.0696761i | ||||
\(388\) | −1.61336e12 | −0.183474 | ||||||||
\(389\) | 1.37001e13i | 1.53807i | 0.639208 | + | 0.769034i | \(0.279262\pi\) | ||||
−0.639208 | + | 0.769034i | \(0.720738\pi\) | |||||||
\(390\) | −2.11151e12 | − | 1.21908e12i | −0.234029 | − | 0.135117i | ||||
\(391\) | 6.78318e12 | 0.742249 | ||||||||
\(392\) | −3.90562e12 | − | 2.25491e12i | −0.421949 | − | 0.243612i | ||||
\(393\) | −3.52051e12 | + | 6.09771e12i | −0.375529 | + | 0.650435i | ||||
\(394\) | 2.97656e11 | − | 1.71852e11i | 0.0313497 | − | 0.0180998i | ||||
\(395\) | 1.64619e12i | 0.171196i | ||||||||
\(396\) | −2.97300e12 | − | 5.14939e12i | −0.305295 | − | 0.528786i | ||||
\(397\) | 2.97810e11 | − | 5.15822e11i | 0.0301986 | − | 0.0523055i | −0.850531 | − | 0.525925i | \(-0.823719\pi\) |
0.880730 | + | 0.473619i | \(0.157053\pi\) | |||||||
\(398\) | −7.97547e11 | −0.0798622 | ||||||||
\(399\) | −3.05578e11 | − | 1.76425e11i | −0.0302174 | − | 0.0174460i | ||||
\(400\) | −8.85909e11 | − | 1.53444e12i | −0.0865145 | − | 0.149848i | ||||
\(401\) | 6.98200e12 | + | 1.20932e13i | 0.673377 | + | 1.16632i | 0.976941 | + | 0.213512i | \(0.0684901\pi\) |
−0.303564 | + | 0.952811i | \(0.598177\pi\) | |||||||
\(402\) | 2.12935e11 | + | 3.68815e11i | 0.0202823 | + | 0.0351300i | ||||
\(403\) | −3.17012e13 | −2.98230 | ||||||||
\(404\) | −6.75456e12 | − | 1.16992e13i | −0.627611 | − | 1.08705i | ||||
\(405\) | 2.30910e12 | − | 1.33316e12i | 0.211918 | − | 0.122351i | ||||
\(406\) | 2.03606e12 | + | 1.17552e12i | 0.184569 | + | 0.106561i | ||||
\(407\) | 1.40499e13 | + | 8.11171e12i | 1.25806 | + | 0.726341i | ||||
\(408\) | 2.78154e12 | 0.246028 | ||||||||
\(409\) | − | 8.93432e12i | − | 0.780630i | −0.920681 | − | 0.390315i | \(-0.872366\pi\) | ||
0.920681 | − | 0.390315i | \(-0.127634\pi\) | |||||||
\(410\) | −1.10258e12 | + | 1.90973e12i | −0.0951681 | + | 0.164836i | ||||
\(411\) | −1.64432e12 | + | 2.84805e12i | −0.140209 | + | 0.242850i | ||||
\(412\) | −3.77014e12 | − | 6.53007e12i | −0.317593 | − | 0.550088i | ||||
\(413\) | −1.06034e12 | + | 6.12188e11i | −0.0882461 | + | 0.0509489i | ||||
\(414\) | 4.23200e12i | 0.347972i | ||||||||
\(415\) | 1.17254e13 | − | 6.76963e12i | 0.952545 | − | 0.549952i | ||||
\(416\) | 1.66078e13 | − | 9.58849e12i | 1.33304 | − | 0.769633i | ||||
\(417\) | 8.17434e12 | − | 4.71946e12i | 0.648294 | − | 0.374293i | ||||
\(418\) | 2.99844e11 | − | 5.19345e11i | 0.0234971 | − | 0.0406982i | ||||
\(419\) | 1.25742e13i | 0.973669i | 0.873494 | + | 0.486834i | \(0.161848\pi\) | ||||
−0.873494 | + | 0.486834i | \(0.838152\pi\) | |||||||
\(420\) | −2.30915e12 | − | 1.33319e12i | −0.176688 | − | 0.102011i | ||||
\(421\) | 2.87813e11 | − | 1.66169e11i | 0.0217621 | − | 0.0125643i | −0.489079 | − | 0.872239i | \(-0.662667\pi\) |
0.510842 | + | 0.859675i | \(0.329334\pi\) | |||||||
\(422\) | 1.06049e13 | 0.792401 | ||||||||
\(423\) | −8.90022e12 | − | 1.54156e13i | −0.657202 | − | 1.13831i | ||||
\(424\) | 1.04374e13 | + | 6.02606e12i | 0.761666 | + | 0.439748i | ||||
\(425\) | −1.48014e12 | + | 2.56367e12i | −0.106747 | + | 0.184892i | ||||
\(426\) | 1.50728e12i | 0.107435i | ||||||||
\(427\) | −6.00410e12 | + | 1.03994e13i | −0.422969 | + | 0.732604i | ||||
\(428\) | 2.32134e13 | 1.61629 | ||||||||
\(429\) | − | 1.15431e13i | − | 0.794392i | ||||||
\(430\) | −2.05260e12 | − | 4.47714e12i | −0.139625 | − | 0.304550i | ||||
\(431\) | −1.51191e13 | −1.01657 | −0.508287 | − | 0.861188i | \(-0.669721\pi\) | ||||
−0.508287 | + | 0.861188i | \(0.669721\pi\) | |||||||
\(432\) | − | 6.98291e12i | − | 0.464107i | ||||||
\(433\) | −3.27770e12 | − | 1.89238e12i | −0.215343 | − | 0.124328i | 0.388449 | − | 0.921470i | \(-0.373011\pi\) |
−0.603792 | + | 0.797142i | \(0.706344\pi\) | |||||||
\(434\) | 6.96155e12 | 0.452124 | ||||||||
\(435\) | −4.92200e12 | − | 2.84172e12i | −0.316006 | − | 0.182446i | ||||
\(436\) | −5.03842e11 | + | 8.72680e11i | −0.0319788 | + | 0.0553889i | ||||
\(437\) | 1.84080e12 | − | 1.06279e12i | 0.115505 | − | 0.0666866i | ||||
\(438\) | − | 6.38068e12i | − | 0.395819i | ||||||
\(439\) | 6.98893e12 | + | 1.21052e13i | 0.428635 | + | 0.742418i | 0.996752 | − | 0.0805297i | \(-0.0256612\pi\) |
−0.568117 | + | 0.822948i | \(0.692328\pi\) | |||||||
\(440\) | 4.98664e12 | − | 8.63711e12i | 0.302374 | − | 0.523727i | ||||
\(441\) | 8.07242e12 | 0.483961 | ||||||||
\(442\) | −6.19028e12 | − | 3.57396e12i | −0.366943 | − | 0.211855i | ||||
\(443\) | 1.96192e12 | + | 3.39814e12i | 0.114991 | + | 0.199169i | 0.917776 | − | 0.397099i | \(-0.129983\pi\) |
−0.802785 | + | 0.596268i | \(0.796650\pi\) | |||||||
\(444\) | 5.35715e12 | + | 9.27886e12i | 0.310469 | + | 0.537749i | ||||
\(445\) | 2.63202e11 | + | 4.55879e11i | 0.0150830 | + | 0.0261246i | ||||
\(446\) | −4.11200e12 | −0.233012 | ||||||||
\(447\) | 7.21052e11 | + | 1.24890e12i | 0.0404044 | + | 0.0699825i | ||||
\(448\) | 1.21847e12 | − | 7.03483e11i | 0.0675187 | − | 0.0389820i | ||||
\(449\) | 1.61150e13 | + | 9.30398e12i | 0.883075 | + | 0.509844i | 0.871671 | − | 0.490091i | \(-0.163037\pi\) |
0.0114039 | + | 0.999935i | \(0.496370\pi\) | |||||||
\(450\) | −1.59947e12 | − | 9.23453e11i | −0.0866788 | − | 0.0500440i | ||||
\(451\) | −1.04400e13 | −0.559522 | ||||||||
\(452\) | − | 5.94433e12i | − | 0.315073i | ||||||
\(453\) | −2.09143e12 | + | 3.62247e12i | −0.109636 | + | 0.189895i | ||||
\(454\) | −4.76202e12 | + | 8.24805e12i | −0.246895 | + | 0.427634i | ||||
\(455\) | 7.53994e12 | + | 1.30596e13i | 0.386644 | + | 0.669686i | ||||
\(456\) | 7.54847e11 | − | 4.35811e11i | 0.0382855 | − | 0.0221042i | ||||
\(457\) | − | 3.24496e13i | − | 1.62790i | −0.580935 | − | 0.813950i | \(-0.697313\pi\) | ||
0.580935 | − | 0.813950i | \(-0.302687\pi\) | |||||||
\(458\) | 1.68179e12 | − | 9.70980e11i | 0.0834533 | − | 0.0481818i | ||||
\(459\) | −1.01037e13 | + | 5.83338e12i | −0.495926 | + | 0.286323i | ||||
\(460\) | 1.39103e13 | − | 8.03114e12i | 0.675381 | − | 0.389931i | ||||
\(461\) | −4.12666e12 | + | 7.14759e12i | −0.198196 | + | 0.343285i | −0.947943 | − | 0.318439i | \(-0.896842\pi\) |
0.749748 | + | 0.661724i | \(0.230175\pi\) | |||||||
\(462\) | 2.53485e12i | 0.120432i | ||||||||
\(463\) | 2.46889e13 | + | 1.42541e13i | 1.16037 | + | 0.669940i | 0.951393 | − | 0.307981i | \(-0.0996533\pi\) |
0.208977 | + | 0.977921i | \(0.432987\pi\) | |||||||
\(464\) | 8.63666e12 | − | 4.98638e12i | 0.401565 | − | 0.231844i | ||||
\(465\) | −1.68290e13 | −0.774093 | ||||||||
\(466\) | −1.87695e12 | − | 3.25097e12i | −0.0854128 | − | 0.147939i | ||||
\(467\) | 1.33632e13 | + | 7.71526e12i | 0.601626 | + | 0.347349i | 0.769681 | − | 0.638429i | \(-0.220415\pi\) |
−0.168055 | + | 0.985778i | \(0.553749\pi\) | |||||||
\(468\) | −1.11043e13 | + | 1.92332e13i | −0.494610 | + | 0.856689i | ||||
\(469\) | − | 2.63398e12i | − | 0.116078i | ||||||
\(470\) | 6.78317e12 | − | 1.17488e13i | 0.295763 | − | 0.512276i | ||||
\(471\) | −2.24080e13 | −0.966717 | ||||||||
\(472\) | − | 3.02449e12i | − | 0.129105i | ||||||
\(473\) | 1.34977e13 | − | 1.90139e13i | 0.570103 | − | 0.803093i | ||||
\(474\) | 1.03355e12 | 0.0431955 | ||||||||
\(475\) | 9.27630e11i | 0.0383625i | ||||||||
\(476\) | −6.76971e12 | − | 3.90849e12i | −0.277035 | − | 0.159946i | ||||
\(477\) | −2.15729e13 | −0.873606 | ||||||||
\(478\) | 3.02593e12 | + | 1.74702e12i | 0.121261 | + | 0.0700098i | ||||
\(479\) | 8.21482e12 | − | 1.42285e13i | 0.325777 | − | 0.564263i | −0.655892 | − | 0.754855i | \(-0.727707\pi\) |
0.981669 | + | 0.190592i | \(0.0610407\pi\) | |||||||
\(480\) | 8.81643e12 | − | 5.09017e12i | 0.346008 | − | 0.199768i | ||||
\(481\) | − | 6.05953e13i | − | 2.35350i | ||||||
\(482\) | 9.02143e12 | + | 1.56256e13i | 0.346769 | + | 0.600621i | ||||
\(483\) | −4.49233e12 | + | 7.78095e12i | −0.170898 | + | 0.296004i | ||||
\(484\) | −6.64105e11 | −0.0250040 | ||||||||
\(485\) | 4.19489e12 | + | 2.42192e12i | 0.156319 | + | 0.0902508i | ||||
\(486\) | −5.72570e12 | − | 9.91720e12i | −0.211177 | − | 0.365770i | ||||
\(487\) | 1.42517e13 | + | 2.46847e13i | 0.520263 | + | 0.901122i | 0.999722 | + | 0.0235581i | \(0.00749948\pi\) |
−0.479459 | + | 0.877564i | \(0.659167\pi\) | |||||||
\(488\) | −1.48315e13 | − | 2.56889e13i | −0.535903 | − | 0.928211i | ||||
\(489\) | 1.33029e13 | 0.475775 | ||||||||
\(490\) | 3.07614e12 | + | 5.32802e12i | 0.108899 | + | 0.188619i | ||||
\(491\) | 8.44602e12 | − | 4.87631e12i | 0.295968 | − | 0.170877i | −0.344662 | − | 0.938727i | \(-0.612007\pi\) |
0.640630 | + | 0.767850i | \(0.278673\pi\) | |||||||
\(492\) | −5.97106e12 | − | 3.44739e12i | −0.207122 | − | 0.119582i | ||||
\(493\) | −1.44298e13 | − | 8.33102e12i | −0.495478 | − | 0.286064i | ||||
\(494\) | −2.23987e12 | −0.0761356 | ||||||||
\(495\) | 1.78518e13i | 0.600698i | ||||||||
\(496\) | 1.47649e13 | − | 2.55736e13i | 0.491840 | − | 0.851891i | ||||
\(497\) | 4.66123e12 | − | 8.07348e12i | 0.153716 | − | 0.266244i | ||||
\(498\) | −4.25026e12 | − | 7.36167e12i | −0.138762 | − | 0.240342i | ||||
\(499\) | 3.11884e13 | − | 1.80066e13i | 1.00807 | − | 0.582008i | 0.0974427 | − | 0.995241i | \(-0.468934\pi\) |
0.910625 | + | 0.413233i | \(0.135600\pi\) | |||||||
\(500\) | 2.83311e13i | 0.906596i | ||||||||
\(501\) | −1.69344e13 | + | 9.77706e12i | −0.536513 | + | 0.309756i | ||||
\(502\) | 6.14377e11 | − | 3.54710e11i | 0.0192715 | − | 0.0111264i | ||||
\(503\) | −1.53757e13 | + | 8.87718e12i | −0.477524 | + | 0.275699i | −0.719384 | − | 0.694612i | \(-0.755576\pi\) |
0.241860 | + | 0.970311i | \(0.422243\pi\) | |||||||
\(504\) | 5.36665e12 | − | 9.29531e12i | 0.165025 | − | 0.285832i | ||||
\(505\) | 4.05588e13i | 1.23489i | ||||||||
\(506\) | −1.32241e13 | − | 7.63495e12i | −0.398671 | − | 0.230173i | ||||
\(507\) | −2.26722e13 | + | 1.30898e13i | −0.676789 | + | 0.390744i | ||||
\(508\) | −2.12069e13 | −0.626843 | ||||||||
\(509\) | −1.66350e13 | − | 2.88126e13i | −0.486893 | − | 0.843323i | 0.512993 | − | 0.858392i | \(-0.328536\pi\) |
−0.999886 | + | 0.0150692i | \(0.995203\pi\) | |||||||
\(510\) | −3.28619e12 | − | 1.89728e12i | −0.0952448 | − | 0.0549896i | ||||
\(511\) | −1.97321e13 | + | 3.41769e13i | −0.566328 | + | 0.980908i | ||||
\(512\) | 3.17417e13i | 0.902155i | ||||||||
\(513\) | −1.82794e12 | + | 3.16609e12i | −0.0514489 | + | 0.0891121i | ||||
\(514\) | 1.38636e13 | 0.386420 | ||||||||
\(515\) | 2.26384e13i | 0.624897i | ||||||||
\(516\) | 1.39985e13 | − | 6.41777e12i | 0.382677 | − | 0.175443i | ||||
\(517\) | 6.42275e13 | 1.73888 | ||||||||
\(518\) | 1.33067e13i | 0.356797i | ||||||||
\(519\) | −1.91513e12 | − | 1.10570e12i | −0.0508582 | − | 0.0293630i | ||||
\(520\) | −3.72507e13 | −0.979756 | ||||||||
\(521\) | −3.89569e13 | − | 2.24918e13i | −1.01484 | − | 0.585916i | −0.102232 | − | 0.994761i | \(-0.532598\pi\) |
−0.912604 | + | 0.408845i | \(0.865932\pi\) | |||||||
\(522\) | 5.19770e12 | − | 9.00268e12i | 0.134109 | − | 0.232284i | ||||
\(523\) | −3.96111e13 | + | 2.28695e13i | −1.01230 | + | 0.584451i | −0.911864 | − | 0.410493i | \(-0.865357\pi\) |
−0.100435 | + | 0.994944i | \(0.532023\pi\) | |||||||
\(524\) | 4.88796e13i | 1.23729i | ||||||||
\(525\) | −1.96052e12 | − | 3.39572e12i | −0.0491558 | − | 0.0851403i | ||||
\(526\) | −1.22166e13 | + | 2.11598e13i | −0.303405 | + | 0.525513i | ||||
\(527\) | −4.93373e13 | −1.21373 | ||||||||
\(528\) | 9.31189e12 | + | 5.37622e12i | 0.226918 | + | 0.131011i | ||||
\(529\) | −6.34856e12 | − | 1.09960e13i | −0.153249 | − | 0.265434i | ||||
\(530\) | −8.22071e12 | − | 1.42387e13i | −0.196576 | − | 0.340479i | ||||
\(531\) | 2.70686e12 | + | 4.68843e12i | 0.0641201 | + | 0.111059i | ||||
\(532\) | −2.44953e12 | −0.0574809 | ||||||||
\(533\) | 1.94969e13 | + | 3.37697e13i | 0.453242 | + | 0.785039i | ||||
\(534\) | 2.86220e11 | − | 1.65249e11i | 0.00659164 | − | 0.00380569i | ||||
\(535\) | −6.03568e13 | − | 3.48470e13i | −1.37708 | − | 0.795055i | ||||
\(536\) | 5.63483e12 | + | 3.25327e12i | 0.127367 | + | 0.0735353i | ||||
\(537\) | 1.03584e13 | 0.231965 | ||||||||
\(538\) | 1.27971e13i | 0.283923i | ||||||||
\(539\) | −1.45634e13 | + | 2.52246e13i | −0.320126 | + | 0.554474i | ||||
\(540\) | −1.38132e13 | + | 2.39251e13i | −0.300833 | + | 0.521058i | ||||
\(541\) | 3.84086e13 | + | 6.65257e13i | 0.828787 | + | 1.43550i | 0.898991 | + | 0.437968i | \(0.144302\pi\) |
−0.0702041 | + | 0.997533i | \(0.522365\pi\) | |||||||
\(542\) | 1.53509e13 | − | 8.86282e12i | 0.328198 | − | 0.189485i | ||||
\(543\) | 2.75720e13i | 0.584075i | ||||||||
\(544\) | 2.58470e13 | − | 1.49228e13i | 0.542520 | − | 0.313224i | ||||
\(545\) | 2.62007e12 | − | 1.51270e12i | 0.0544917 | − | 0.0314608i | ||||
\(546\) | 8.19934e12 | − | 4.73389e12i | 0.168972 | − | 0.0975563i | ||||
\(547\) | 1.33606e13 | − | 2.31413e13i | 0.272829 | − | 0.472553i | −0.696756 | − | 0.717308i | \(-0.745374\pi\) |
0.969585 | + | 0.244755i | \(0.0787074\pi\) | |||||||
\(548\) | 2.28301e13i | 0.461960i | ||||||||
\(549\) | 4.59823e13 | + | 2.65479e13i | 0.921995 | + | 0.532314i | ||||
\(550\) | 5.77120e12 | − | 3.33200e12i | 0.114671 | − | 0.0662052i | ||||
\(551\) | −5.22121e12 | −0.102805 | ||||||||
\(552\) | −1.10971e13 | − | 1.92207e13i | −0.216528 | − | 0.375037i | ||||
\(553\) | −5.53599e12 | − | 3.19621e12i | −0.107046 | − | 0.0618030i | ||||
\(554\) | −9.79050e12 | + | 1.69576e13i | −0.187610 | + | 0.324950i | ||||
\(555\) | − | 3.21678e13i | − | 0.610881i | ||||||
\(556\) | 3.27630e13 | − | 5.67471e13i | 0.616608 | − | 1.06800i | ||||
\(557\) | 2.18355e13 | 0.407274 | 0.203637 | − | 0.979046i | \(-0.434724\pi\) | ||||
0.203637 | + | 0.979046i | \(0.434724\pi\) | |||||||
\(558\) | − | 3.07814e13i | − | 0.569006i | ||||||
\(559\) | −8.67106e13 | − | 8.15129e12i | −1.58860 | − | 0.149337i | ||||
\(560\) | −1.40470e13 | −0.255061 | ||||||||
\(561\) | − | 1.79647e13i | − | 0.323300i | ||||||
\(562\) | −3.42860e13 | − | 1.97951e13i | −0.611555 | − | 0.353082i | ||||
\(563\) | 2.99722e13 | 0.529879 | 0.264940 | − | 0.964265i | \(-0.414648\pi\) | ||||
0.264940 | + | 0.964265i | \(0.414648\pi\) | |||||||
\(564\) | 3.67344e13 | + | 2.12086e13i | 0.643692 | + | 0.371635i | ||||
\(565\) | −8.92340e12 | + | 1.54558e13i | −0.154984 | + | 0.268441i | ||||
\(566\) | −2.07174e13 | + | 1.19612e13i | −0.356659 | + | 0.205917i | ||||
\(567\) | 1.03538e13i | 0.176678i | ||||||||
\(568\) | 1.15143e13 | + | 1.99434e13i | 0.194758 | + | 0.337331i | ||||
\(569\) | 1.55090e13 | − | 2.68623e13i | 0.260029 | − | 0.450383i | −0.706220 | − | 0.707992i | \(-0.749601\pi\) |
0.966249 | + | 0.257609i | \(0.0829346\pi\) | |||||||
\(570\) | −1.18906e12 | −0.0197620 | ||||||||
\(571\) | −4.08649e13 | − | 2.35934e13i | −0.673241 | − | 0.388696i | 0.124063 | − | 0.992274i | \(-0.460408\pi\) |
−0.797303 | + | 0.603579i | \(0.793741\pi\) | |||||||
\(572\) | −4.00666e13 | − | 6.93974e13i | −0.654338 | − | 1.13335i | ||||
\(573\) | 1.38860e13 | + | 2.40513e13i | 0.224805 | + | 0.389373i | ||||
\(574\) | −4.28151e12 | − | 7.41579e12i | −0.0687127 | − | 0.119014i | ||||
\(575\) | 2.36203e13 | 0.375791 | ||||||||
\(576\) | −3.11054e12 | − | 5.38761e12i | −0.0490595 | − | 0.0849735i | ||||
\(577\) | 9.02527e13 | − | 5.21074e13i | 1.41118 | − | 0.814743i | 0.415677 | − | 0.909512i | \(-0.363545\pi\) |
0.995499 | + | 0.0947690i | \(0.0302113\pi\) | |||||||
\(578\) | 1.32124e13 | + | 7.62819e12i | 0.204806 | + | 0.118245i | ||||
\(579\) | 3.81550e13 | + | 2.20288e13i | 0.586353 | + | 0.338531i | ||||
\(580\) | −3.94550e13 | −0.601122 | ||||||||
\(581\) | 5.25752e13i | 0.794146i | ||||||||
\(582\) | 1.52058e12 | − | 2.63373e12i | 0.0227717 | − | 0.0394417i | ||||
\(583\) | 3.89196e13 | − | 6.74107e13i | 0.577864 | − | 1.00089i | ||||
\(584\) | −4.87427e13 | − | 8.44248e13i | −0.717539 | − | 1.24281i | ||||
\(585\) | 5.77444e13 | − | 3.33387e13i | 0.842812 | − | 0.486598i | ||||
\(586\) | 4.93598e12i | 0.0714308i | ||||||||
\(587\) | 7.84533e12 | − | 4.52950e12i | 0.112569 | − | 0.0649920i | −0.442658 | − | 0.896690i | \(-0.645964\pi\) |
0.555228 | + | 0.831698i | \(0.312631\pi\) | |||||||
\(588\) | −1.66589e13 | + | 9.61802e12i | −0.237006 | + | 0.136836i | ||||
\(589\) | −1.33890e13 | + | 7.73015e12i | −0.188874 | + | 0.109046i | ||||
\(590\) | −2.06300e12 | + | 3.57321e12i | −0.0288561 | + | 0.0499803i | ||||
\(591\) | − | 3.22643e12i | − | 0.0447491i | ||||||
\(592\) | 4.88828e13 | + | 2.82225e13i | 0.672276 | + | 0.388138i | ||||
\(593\) | 3.70475e13 | − | 2.13894e13i | 0.505226 | − | 0.291692i | −0.225643 | − | 0.974210i | \(-0.572448\pi\) |
0.730869 | + | 0.682518i | \(0.239115\pi\) | |||||||
\(594\) | 2.62635e13 | 0.355157 | ||||||||
\(595\) | 1.17346e13 | + | 2.03249e13i | 0.157356 | + | 0.272548i | ||||
\(596\) | 8.66999e12 | + | 5.00562e12i | 0.115289 | + | 0.0665620i | ||||
\(597\) | −3.74338e12 | + | 6.48373e12i | −0.0493620 | + | 0.0854975i | ||||
\(598\) | 5.70339e13i | 0.745809i | ||||||||
\(599\) | −1.30774e13 | + | 2.26508e13i | −0.169585 | + | 0.293730i | −0.938274 | − | 0.345893i | \(-0.887576\pi\) |
0.768689 | + | 0.639623i | \(0.220909\pi\) | |||||||
\(600\) | 9.68586e12 | 0.124561 | ||||||||
\(601\) | − | 3.94758e13i | − | 0.503452i | −0.967798 | − | 0.251726i | \(-0.919002\pi\) | ||
0.967798 | − | 0.251726i | \(-0.0809983\pi\) | |||||||
\(602\) | 1.90416e13 | + | 1.79001e12i | 0.240835 | + | 0.0226399i | ||||
\(603\) | −1.16465e13 | −0.146086 | ||||||||
\(604\) | 2.90379e13i | 0.361227i | ||||||||
\(605\) | 1.72673e12 | + | 9.96930e11i | 0.0213034 | + | 0.0122995i | ||||
\(606\) | 2.54645e13 | 0.311582 | ||||||||
\(607\) | 6.76735e13 | + | 3.90713e13i | 0.821249 | + | 0.474149i | 0.850847 | − | 0.525413i | \(-0.176089\pi\) |
−0.0295978 | + | 0.999562i | \(0.509423\pi\) | |||||||
\(608\) | 4.67619e12 | − | 8.09940e12i | 0.0562826 | − | 0.0974843i | ||||
\(609\) | 1.91130e13 | − | 1.10349e13i | 0.228161 | − | 0.131729i | ||||
\(610\) | 4.04661e13i | 0.479118i | ||||||||
\(611\) | −1.19947e14 | − | 2.07754e14i | −1.40858 | − | 2.43974i | ||||
\(612\) | −1.72819e13 | + | 2.99331e13i | −0.201295 | + | 0.348654i | ||||
\(613\) | −1.13677e14 | −1.31332 | −0.656660 | − | 0.754186i | \(-0.728032\pi\) | ||||
−0.656660 | + | 0.754186i | \(0.728032\pi\) | |||||||
\(614\) | 4.30689e12 | + | 2.48659e12i | 0.0493540 | + | 0.0284945i | ||||
\(615\) | 1.03502e13 | + | 1.79271e13i | 0.117645 | + | 0.203767i | ||||
\(616\) | 1.93639e13 | + | 3.35393e13i | 0.218318 | + | 0.378139i | ||||
\(617\) | −7.32972e13 | − | 1.26955e14i | −0.819713 | − | 1.41978i | −0.905894 | − | 0.423505i | \(-0.860800\pi\) |
0.0861807 | − | 0.996280i | \(-0.472534\pi\) | |||||||
\(618\) | 1.42133e13 | 0.157671 | ||||||||
\(619\) | 5.30707e13 | + | 9.19212e13i | 0.583985 | + | 1.01149i | 0.995001 | + | 0.0998637i | \(0.0318407\pi\) |
−0.411016 | + | 0.911628i | \(0.634826\pi\) | |||||||
\(620\) | −1.01177e14 | + | 5.84143e13i | −1.10439 | + | 0.637618i | ||||
\(621\) | 8.06184e13 | + | 4.65451e13i | 0.872924 | + | 0.503983i | ||||
\(622\) | 3.71315e13 | + | 2.14379e13i | 0.398833 | + | 0.230266i | ||||
\(623\) | −2.04411e12 | −0.0217803 | ||||||||
\(624\) | − | 4.01610e13i | − | 0.424503i | ||||||
\(625\) | 2.68526e13 | − | 4.65101e13i | 0.281570 | − | 0.487693i | ||||
\(626\) | 6.37053e12 | − | 1.10341e13i | 0.0662680 | − | 0.114779i | ||||
\(627\) | −2.81471e12 | − | 4.87522e12i | −0.0290466 | − | 0.0503102i | ||||
\(628\) | −1.34718e14 | + | 7.77794e13i | −1.37920 | + | 0.796282i | ||||
\(629\) | − | 9.43058e13i | − | 0.957823i | ||||||
\(630\) | −1.26806e13 | + | 7.32115e12i | −0.127772 | + | 0.0737695i | ||||
\(631\) | −9.94061e12 | + | 5.73921e12i | −0.0993725 | + | 0.0573727i | −0.548863 | − | 0.835913i | \(-0.684939\pi\) |
0.449490 | + | 0.893285i | \(0.351606\pi\) | |||||||
\(632\) | 1.36752e13 | − | 7.89536e12i | 0.135627 | − | 0.0783045i | ||||
\(633\) | 4.97754e13 | − | 8.62135e13i | 0.489775 | − | 0.848314i | ||||
\(634\) | − | 3.53693e13i | − | 0.345287i | ||||||
\(635\) | 5.51398e13 | + | 3.18350e13i | 0.534068 | + | 0.308345i | ||||
\(636\) | 4.45195e13 | − | 2.57034e13i | 0.427824 | − | 0.247004i | ||||
\(637\) | 1.08791e14 | 1.03728 | ||||||||
\(638\) | 1.87543e13 | + | 3.24835e13i | 0.177418 | + | 0.307297i | ||||
\(639\) | −3.56979e13 | − | 2.06102e13i | −0.335072 | − | 0.193454i | ||||
\(640\) | 4.48028e13 | − | 7.76008e13i | 0.417259 | − | 0.722713i | ||||
\(641\) | − | 1.07560e14i | − | 0.993937i | −0.867769 | − | 0.496968i | \(-0.834447\pi\) | ||
0.867769 | − | 0.496968i | \(-0.165553\pi\) | |||||||
\(642\) | −2.18784e13 | + | 3.78946e13i | −0.200605 | + | 0.347458i | ||||
\(643\) | 6.49670e13 | 0.591069 | 0.295534 | − | 0.955332i | \(-0.404502\pi\) | ||||
0.295534 | + | 0.955332i | \(0.404502\pi\) | |||||||
\(644\) | 6.23725e13i | 0.563072i | ||||||||
\(645\) | −4.60314e13 | − | 4.32721e12i | −0.412340 | − | 0.0387623i | ||||
\(646\) | −3.48595e12 | −0.0309855 | ||||||||
\(647\) | 1.19379e14i | 1.05295i | 0.850190 | + | 0.526475i | \(0.176487\pi\) | ||||
−0.850190 | + | 0.526475i | \(0.823513\pi\) | |||||||
\(648\) | −2.21496e13 | − | 1.27881e13i | −0.193861 | − | 0.111926i | ||||
\(649\) | −1.95338e13 | −0.169654 | ||||||||
\(650\) | −2.15557e13 | − | 1.24452e13i | −0.185779 | − | 0.107259i | ||||
\(651\) | 3.26749e13 | − | 5.65945e13i | 0.279453 | − | 0.484027i | ||||
\(652\) | 7.99774e13 | − | 4.61750e13i | 0.678780 | − | 0.391894i | ||||
\(653\) | 7.34748e13i | 0.618832i | 0.950927 | + | 0.309416i | \(0.100134\pi\) | ||||
−0.950927 | + | 0.309416i | \(0.899866\pi\) | |||||||
\(654\) | −9.49735e11 | − | 1.64499e12i | −0.00793805 | − | 0.0137491i | ||||
\(655\) | 7.33761e13 | − | 1.27091e14i | 0.608623 | − | 1.05417i | ||||
\(656\) | −3.63231e13 | −0.298994 | ||||||||
\(657\) | 1.51117e14 | + | 8.72477e13i | 1.23449 | + | 0.712733i | ||||
\(658\) | 2.63402e13 | + | 4.56225e13i | 0.213545 | + | 0.369870i | ||||
\(659\) | −8.92018e12 | − | 1.54502e13i | −0.0717706 | − | 0.124310i | 0.827907 | − | 0.560866i | \(-0.189532\pi\) |
−0.899677 | + | 0.436555i | \(0.856198\pi\) | |||||||
\(660\) | −2.12699e13 | − | 3.68405e13i | −0.169842 | − | 0.294175i | ||||
\(661\) | 4.45542e13 | 0.353087 | 0.176543 | − | 0.984293i | \(-0.443508\pi\) | ||||
0.176543 | + | 0.984293i | \(0.443508\pi\) | |||||||
\(662\) | 8.50795e11 | + | 1.47362e12i | 0.00669168 | + | 0.0115903i | ||||
\(663\) | −5.81096e13 | + | 3.35496e13i | −0.453608 | + | 0.261890i | ||||
\(664\) | −1.12473e14 | − | 6.49364e13i | −0.871382 | − | 0.503092i | ||||
\(665\) | 6.36898e12 | + | 3.67713e12i | 0.0489736 | + | 0.0282749i | ||||
\(666\) | 5.88371e13 | 0.449035 | ||||||||
\(667\) | 1.32948e14i | 1.00705i | ||||||||
\(668\) | −6.78734e13 | + | 1.17560e14i | −0.510290 | + | 0.883848i | ||||
\(669\) | −1.93001e13 | + | 3.34288e13i | −0.144022 | + | 0.249454i | ||||
\(670\) | −4.43809e12 | − | 7.68700e12i | −0.0328717 | − | 0.0569355i | ||||
\(671\) | −1.65913e14 | + | 9.57900e13i | −1.21974 | + | 0.704219i | ||||
\(672\) | 3.95319e13i | 0.288471i | ||||||||
\(673\) | 1.83805e13 | − | 1.06120e13i | 0.133132 | − | 0.0768639i | −0.431955 | − | 0.901895i | \(-0.642176\pi\) |
0.565087 | + | 0.825031i | \(0.308843\pi\) | |||||||
\(674\) | −3.25106e13 | + | 1.87700e13i | −0.233736 | + | 0.134948i | ||||
\(675\) | −3.51830e13 | + | 2.03129e13i | −0.251081 | + | 0.144962i | ||||
\(676\) | −9.08706e13 | + | 1.57393e14i | −0.643710 | + | 1.11494i | ||||
\(677\) | 1.85063e13i | 0.130130i | 0.997881 | + | 0.0650650i | \(0.0207255\pi\) | ||||
−0.997881 | + | 0.0650650i | \(0.979275\pi\) | |||||||
\(678\) | 9.70380e12 | + | 5.60249e12i | 0.0677319 | + | 0.0391050i | ||||
\(679\) | −1.62894e13 | + | 9.40471e12i | −0.112865 | + | 0.0651624i | ||||
\(680\) | −5.79741e13 | −0.398740 | ||||||||
\(681\) | 4.47022e13 | + | 7.74264e13i | 0.305206 | + | 0.528632i | ||||
\(682\) | 9.61854e13 | + | 5.55327e13i | 0.651909 | + | 0.376380i | ||||
\(683\) | 9.02108e13 | − | 1.56250e14i | 0.606953 | − | 1.05127i | −0.384787 | − | 0.923005i | \(-0.625725\pi\) |
0.991740 | − | 0.128268i | \(-0.0409416\pi\) | |||||||
\(684\) | 1.08309e13i | 0.0723408i | ||||||||
\(685\) | 3.42716e13 | − | 5.93602e13i | 0.227239 | − | 0.393589i | ||||
\(686\) | −6.06398e13 | −0.399151 | ||||||||
\(687\) | − | 1.82296e13i | − | 0.119123i | ||||||
\(688\) | 4.69615e13 | − | 6.61537e13i | 0.304649 | − | 0.429153i | ||||
\(689\) | −2.90734e14 | −1.87240 | ||||||||
\(690\) | 3.02772e13i | 0.193584i | ||||||||
\(691\) | −5.61037e13 | − | 3.23915e13i | −0.356124 | − | 0.205608i | 0.311255 | − | 0.950326i | \(-0.399251\pi\) |
−0.667379 | + | 0.744718i | \(0.732584\pi\) | |||||||
\(692\) | −1.53518e13 | −0.0967449 | ||||||||
\(693\) | −6.00342e13 | − | 3.46608e13i | −0.375606 | − | 0.216856i | ||||
\(694\) | −1.21317e12 | + | 2.10128e12i | −0.00753574 | + | 0.0130523i | ||||
\(695\) | −1.70373e14 | + | 9.83650e13i | −1.05070 | + | 0.606620i | ||||
\(696\) | 5.45173e13i | 0.333801i | ||||||||
\(697\) | 3.03435e13 | + | 5.25565e13i | 0.184460 | + | 0.319494i | ||||
\(698\) | 3.01435e13 | − | 5.22100e13i | 0.181935 | − | 0.315121i | ||||
\(699\) | −3.52387e13 | −0.211171 | ||||||||
\(700\) | −2.35734e13 | − | 1.36101e13i | −0.140260 | − | 0.0809789i | ||||
\(701\) | −6.57645e13 | − | 1.13907e14i | −0.388509 | − | 0.672918i | 0.603740 | − | 0.797181i | \(-0.293676\pi\) |
−0.992249 | + | 0.124264i | \(0.960343\pi\) | |||||||
\(702\) | −4.90479e13 | − | 8.49534e13i | −0.287696 | − | 0.498305i | ||||
\(703\) | −1.47758e13 | − | 2.55924e13i | −0.0860547 | − | 0.149051i | ||||
\(704\) | 2.24469e13 | 0.129805 | ||||||||
\(705\) | −6.36752e13 | − | 1.10289e14i | −0.365616 | − | 0.633265i | ||||
\(706\) | −1.10768e14 | + | 6.39519e13i | −0.631525 | + | 0.364611i | ||||
\(707\) | −1.36396e14 | − | 7.87482e13i | −0.772154 | − | 0.445804i | ||||
\(708\) | −1.11722e13 | − | 6.45028e12i | −0.0628019 | − | 0.0362587i | ||||
\(709\) | 1.51040e14 | 0.843066 | 0.421533 | − | 0.906813i | \(-0.361492\pi\) | ||||
0.421533 | + | 0.906813i | \(0.361492\pi\) | |||||||
\(710\) | − | 3.14155e13i | − | 0.174121i | ||||||
\(711\) | −1.41324e13 | + | 2.44781e13i | −0.0777801 | + | 0.134719i | ||||
\(712\) | 2.52471e12 | − | 4.37293e12i | 0.0137979 | − | 0.0238986i | ||||
\(713\) | 1.96833e14 | + | 3.40926e14i | 1.06820 | + | 1.85017i | ||||
\(714\) | 1.27608e13 | − | 7.36746e12i | 0.0687681 | − | 0.0397033i | ||||
\(715\) | 2.40586e14i | 1.28748i | ||||||||
\(716\) | 6.22753e13 | − | 3.59547e13i | 0.330941 | − | 0.191069i | ||||
\(717\) | 2.84051e13 | − | 1.63997e13i | 0.149900 | − | 0.0865447i | ||||
\(718\) | 1.09487e13 | − | 6.32122e12i | 0.0573772 | − | 0.0331268i | ||||
\(719\) | −5.81211e13 | + | 1.00669e14i | −0.302475 | + | 0.523902i | −0.976696 | − | 0.214628i | \(-0.931146\pi\) |
0.674221 | + | 0.738530i | \(0.264479\pi\) | |||||||
\(720\) | 6.21105e13i | 0.320998i | ||||||||
\(721\) | −7.61310e13 | − | 4.39542e13i | −0.390737 | − | 0.225592i | ||||
\(722\) | 6.85350e13 | − | 3.95687e13i | 0.349322 | − | 0.201681i | ||||
\(723\) | 1.69372e14 | 0.857337 | ||||||||
\(724\) | 9.57038e13 | + | 1.65764e14i | 0.481101 | + | 0.833291i | ||||
\(725\) | −5.02472e13 | − | 2.90102e13i | −0.250854 | − | 0.144831i | ||||
\(726\) | 6.25915e11 | − | 1.08412e12i | 0.00310336 | − | 0.00537518i | ||||
\(727\) | 2.88265e14i | 1.41945i | 0.704480 | + | 0.709724i | \(0.251180\pi\) | ||||
−0.704480 | + | 0.709724i | \(0.748820\pi\) | |||||||
\(728\) | 7.23254e13 | − | 1.25271e14i | 0.353699 | − | 0.612625i | ||||
\(729\) | −4.60020e13 | −0.223429 | ||||||||
\(730\) | 1.32989e14i | 0.641507i | ||||||||
\(731\) | −1.34950e14 | − | 1.26860e13i | −0.646524 | − | 0.0607769i | ||||
\(732\) | −1.26524e14 | −0.602027 | ||||||||
\(733\) | − | 1.96298e14i | − | 0.927674i | −0.885921 | − | 0.463837i | \(-0.846472\pi\) | ||
0.885921 | − | 0.463837i | \(-0.153528\pi\) | |||||||
\(734\) | 1.70543e13 | + | 9.84632e12i | 0.0800487 | + | 0.0462161i | ||||
\(735\) | 5.77528e13 | 0.269238 | ||||||||
\(736\) | −2.06236e14 | − | 1.19070e14i | −0.954937 | − | 0.551333i | ||||
\(737\) | 2.10114e13 | − | 3.63928e13i | 0.0966313 | − | 0.167370i | ||||
\(738\) | −3.27898e13 | + | 1.89312e13i | −0.149781 | + | 0.0864762i | ||||
\(739\) | − | 3.49176e14i | − | 1.58424i | −0.610363 | − | 0.792122i | \(-0.708976\pi\) | ||
0.610363 | − | 0.792122i | \(-0.291024\pi\) | |||||||
\(740\) | −1.11656e14 | − | 1.93394e14i | −0.503181 | − | 0.871534i | ||||
\(741\) | −1.05131e13 | + | 1.82092e13i | −0.0470586 | + | 0.0815079i | ||||
\(742\) | 6.38448e13 | 0.283861 | ||||||||
\(743\) | 2.22987e13 | + | 1.28742e13i | 0.0984772 | + | 0.0568558i | 0.548430 | − | 0.836197i | \(-0.315226\pi\) |
−0.449953 | + | 0.893052i | \(0.648559\pi\) | |||||||
\(744\) | 8.07144e13 | + | 1.39801e14i | 0.354068 | + | 0.613263i | ||||
\(745\) | −1.50285e13 | − | 2.60301e13i | −0.0654838 | − | 0.113421i | ||||
\(746\) | −2.63945e13 | − | 4.57166e13i | −0.114240 | − | 0.197870i | ||||
\(747\) | 2.32468e14 | 0.999447 | ||||||||
\(748\) | −6.23565e13 | − | 1.08005e14i | −0.266302 | − | 0.461248i | ||||
\(749\) | 2.34376e14 | − | 1.35317e14i | 0.994268 | − | 0.574041i | ||||
\(750\) | −4.62490e13 | − | 2.67019e13i | −0.194893 | − | 0.112522i | ||||
\(751\) | 2.59459e13 | + | 1.49799e13i | 0.108610 | + | 0.0627059i | 0.553321 | − | 0.832968i | \(-0.313360\pi\) |
−0.444711 | + | 0.895674i | \(0.646694\pi\) | |||||||
\(752\) | 2.23462e14 | 0.929212 | ||||||||
\(753\) | − | 6.65950e12i | − | 0.0275085i | ||||||
\(754\) | 7.00484e13 | − | 1.21327e14i | 0.287436 | − | 0.497854i | ||||
\(755\) | 4.35906e13 | − | 7.55011e13i | 0.177688 | − | 0.307765i | ||||
\(756\) | −5.36389e13 | − | 9.29053e13i | −0.217206 | − | 0.376211i | ||||
\(757\) | −1.28133e14 | + | 7.39779e13i | −0.515446 | + | 0.297593i | −0.735069 | − | 0.677992i | \(-0.762850\pi\) |
0.219624 | + | 0.975585i | \(0.429517\pi\) | |||||||
\(758\) | − | 3.14784e13i | − | 0.125796i | ||||||
\(759\) | −1.24138e14 | + | 7.16711e13i | −0.492829 | + | 0.284535i | ||||
\(760\) | −1.57328e13 | + | 9.08336e12i | −0.0620497 | + | 0.0358244i | ||||
\(761\) | −1.10452e14 | + | 6.37697e13i | −0.432765 | + | 0.249857i | −0.700524 | − | 0.713629i | \(-0.747050\pi\) |
0.267759 | + | 0.963486i | \(0.413717\pi\) | |||||||
\(762\) | 1.99874e13 | − | 3.46191e13i | 0.0778002 | − | 0.134754i | ||||
\(763\) | 1.17481e13i | 0.0454302i | ||||||||
\(764\) | 1.66967e14 | + | 9.63984e13i | 0.641451 | + | 0.370342i | ||||
\(765\) | 8.98688e13 | − | 5.18858e13i | 0.343006 | − | 0.198035i | ||||
\(766\) | 7.34877e13 | 0.278657 | ||||||||
\(767\) | 3.64799e13 | + | 6.31851e13i | 0.137429 | + | 0.238033i | ||||
\(768\) | −3.33048e13 | − | 1.92285e13i | −0.124652 | − | 0.0719680i | ||||
\(769\) | −4.63802e13 | + | 8.03328e13i | −0.172465 | + | 0.298718i | −0.939281 | − | 0.343149i | \(-0.888506\pi\) |
0.766816 | + | 0.641867i | \(0.221840\pi\) | |||||||
\(770\) | − | 5.28324e13i | − | 0.195185i | ||||||
\(771\) | 6.50703e13 | − | 1.12705e14i | 0.238842 | − | 0.413687i | ||||
\(772\) | 3.05853e14 | 1.11539 | ||||||||
\(773\) | − | 1.07208e14i | − | 0.388444i | −0.980958 | − | 0.194222i | \(-0.937782\pi\) | ||
0.980958 | − | 0.194222i | \(-0.0622183\pi\) | |||||||
\(774\) | 7.91476e12 | − | 8.41946e13i | 0.0284927 | − | 0.303095i | ||||
\(775\) | −1.71802e14 | −0.614497 | ||||||||
\(776\) | − | 4.64636e13i | − | 0.165122i | ||||||
\(777\) | 1.08178e14 | + | 6.24564e13i | 0.381973 | + | 0.220532i | ||||
\(778\) | −1.79276e14 | −0.628962 | ||||||||
\(779\) | 1.64691e13 | + | 9.50842e12i | 0.0574092 | + | 0.0331452i | ||||
\(780\) | −7.94440e13 | + | 1.37601e14i | −0.275162 | + | 0.476594i | ||||
\(781\) | 1.28805e14 | − | 7.43657e13i | 0.443280 | − | 0.255928i | ||||
\(782\) | 8.87631e13i | 0.303528i | ||||||||
\(783\) | −1.14332e14 | − | 1.98029e14i | −0.388472 | − | 0.672854i | ||||
\(784\) | −5.06696e13 | + | 8.77622e13i | −0.171067 | + | 0.296297i | ||||
\(785\) | 4.67038e14 | 1.56677 | ||||||||
\(786\) | −7.97932e13 | − | 4.60686e13i | −0.265983 | − | 0.153565i | ||||
\(787\) | 9.11367e13 | + | 1.57853e14i | 0.301870 | + | 0.522854i | 0.976560 | − | 0.215248i | \(-0.0690559\pi\) |
−0.674690 | + | 0.738102i | \(0.735723\pi\) | |||||||
\(788\) | −1.11991e13 | − | 1.93974e13i | −0.0368597 | − | 0.0638429i | ||||
\(789\) | 1.14680e14 | + | 1.98632e14i | 0.375063 | + | 0.649629i | ||||
\(790\) | −2.15416e13 | −0.0700072 | ||||||||
\(791\) | −3.46510e13 | − | 6.00174e13i | −0.111901 | − | 0.193818i | ||||
\(792\) | 1.48298e14 | − | 8.56200e13i | 0.475894 | − | 0.274757i | ||||
\(793\) | 6.19695e14 | + | 3.57781e14i | 1.97611 | + | 1.14091i | ||||
\(794\) | 6.74993e12 | + | 3.89708e12i | 0.0213893 | + | 0.0123491i | ||||
\(795\) | −1.54340e14 | −0.486006 | ||||||||
\(796\) | 5.19739e13i | 0.162637i | ||||||||
\(797\) | 2.89235e14 | − | 5.00970e14i | 0.899413 | − | 1.55783i | 0.0711670 | − | 0.997464i | \(-0.477328\pi\) |
0.828246 | − | 0.560365i | \(-0.189339\pi\) | |||||||
\(798\) | 2.30866e12 | − | 3.99872e12i | 0.00713421 | − | 0.0123568i | ||||
\(799\) | −1.86676e14 | − | 3.23331e14i | −0.573262 | − | 0.992920i | ||||
\(800\) | 9.00042e13 | − | 5.19639e13i | 0.274671 | − | 0.158581i | ||||
\(801\) | 9.03829e12i | 0.0274109i | ||||||||
\(802\) | −1.58249e14 | + | 9.13649e13i | −0.476945 | + | 0.275364i | ||||
\(803\) | −5.45262e14 | + | 3.14807e14i | −1.63316 | + | 0.942903i | ||||
\(804\) | 2.40346e13 | − | 1.38764e13i | 0.0715413 | − | 0.0413044i | ||||
\(805\) | 9.36312e13 | − | 1.62174e14i | 0.276975 | − | 0.479735i | ||||
\(806\) | − | 4.14835e14i | − | 1.21955i | ||||||
\(807\) | 1.04035e14 | + | 6.00648e13i | 0.303958 | + | 0.175490i | ||||
\(808\) | 3.36929e14 | − | 1.94526e14i | 0.978321 | − | 0.564834i | ||||
\(809\) | −3.47175e14 | −1.00186 | −0.500929 | − | 0.865489i | \(-0.667008\pi\) | ||||
−0.500929 | + | 0.865489i | \(0.667008\pi\) | |||||||
\(810\) | 1.74454e13 | + | 3.02164e13i | 0.0500330 | + | 0.0866597i | ||||
\(811\) | 2.93170e14 | + | 1.69262e14i | 0.835633 | + | 0.482453i | 0.855777 | − | 0.517344i | \(-0.173079\pi\) |
−0.0201445 | + | 0.999797i | \(0.506413\pi\) | |||||||
\(812\) | 7.66052e13 | − | 1.32684e14i | 0.217009 | − | 0.375871i | ||||
\(813\) | − | 1.66395e14i | − | 0.468475i | ||||||
\(814\) | −1.06148e14 | + | 1.83854e14i | −0.297023 | + | 0.514458i | ||||
\(815\) | −2.77264e14 | −0.771092 | ||||||||
\(816\) | − | 6.25034e13i | − | 0.172764i | ||||||
\(817\) | −3.86099e13 | + | 1.77012e13i | −0.106069 | + | 0.0486286i | ||||
\(818\) | 1.16912e14 | 0.319223 | ||||||||
\(819\) | 2.58920e14i | 0.702661i | ||||||||
\(820\) | 1.24452e14 | + | 7.18521e13i | 0.335684 | + | 0.193807i | ||||
\(821\) | −5.39613e14 | −1.44666 | −0.723331 | − | 0.690502i | \(-0.757390\pi\) | ||||
−0.723331 | + | 0.690502i | \(0.757390\pi\) | |||||||
\(822\) | −3.72689e13 | − | 2.15172e13i | −0.0993087 | − | 0.0573359i | ||||
\(823\) | −2.08779e14 | + | 3.61617e14i | −0.552953 | + | 0.957743i | 0.445106 | + | 0.895478i | \(0.353166\pi\) |
−0.998060 | + | 0.0622655i | \(0.980167\pi\) | |||||||
\(824\) | 1.88061e14 | − | 1.08577e14i | 0.495065 | − | 0.285826i | ||||
\(825\) | − | 6.25566e13i | − | 0.163683i | ||||||
\(826\) | −8.01095e12 | − | 1.38754e13i | −0.0208345 | − | 0.0360865i | ||||
\(827\) | −2.07361e14 | + | 3.59160e14i | −0.536043 | + | 0.928453i | 0.463070 | + | 0.886322i | \(0.346748\pi\) |
−0.999112 | + | 0.0421309i | \(0.986585\pi\) | |||||||
\(828\) | 2.75788e14 | 0.708636 | ||||||||
\(829\) | −1.78439e14 | − | 1.03022e14i | −0.455741 | − | 0.263122i | 0.254511 | − | 0.967070i | \(-0.418086\pi\) |
−0.710252 | + | 0.703948i | \(0.751419\pi\) | |||||||
\(830\) | 8.85859e13 | + | 1.53435e14i | 0.224892 | + | 0.389524i | ||||
\(831\) | 9.19057e13 | + | 1.59185e14i | 0.231920 | + | 0.401697i | ||||
\(832\) | −4.19201e13 | − | 7.26078e13i | −0.105149 | − | 0.182124i | ||||
\(833\) | 1.69313e14 | 0.422149 | ||||||||
\(834\) | 6.17577e13 | + | 1.06967e14i | 0.153060 | + | 0.265107i | ||||
\(835\) | 3.52953e14 | − | 2.03778e14i | 0.869531 | − | 0.502024i | ||||
\(836\) | −3.38443e13 | − | 1.95400e13i | −0.0828807 | − | 0.0478512i | ||||
\(837\) | −5.86376e14 | − | 3.38544e14i | −1.42741 | − | 0.824116i | ||||
\(838\) | −1.64543e14 | −0.398163 | ||||||||
\(839\) | 8.28074e14i | 1.99186i | 0.0901148 | + | 0.995931i | \(0.471277\pi\) | ||||
−0.0901148 | + | 0.995931i | \(0.528723\pi\) | |||||||
\(840\) | 3.83948e13 | − | 6.65018e13i | 0.0918071 | − | 0.159015i | ||||
\(841\) | −4.70682e13 | + | 8.15246e13i | −0.111879 | + | 0.193780i | ||||
\(842\) | 2.17445e12 | + | 3.76626e12i | 0.00513794 | + | 0.00889917i | ||||
\(843\) | −3.21851e14 | + | 1.85821e14i | −0.755992 | + | 0.436472i | ||||
\(844\) | − | 6.91092e14i | − | 1.61370i | ||||||
\(845\) | 4.72543e14 | − | 2.72823e14i | 1.09688 | − | 0.633282i | ||||
\(846\) | 2.01725e14 | − | 1.16466e14i | 0.465488 | − | 0.268750i | ||||
\(847\) | −6.70519e12 | + | 3.87124e12i | −0.0153813 | + | 0.00888042i | ||||
\(848\) | 1.35410e14 | − | 2.34537e14i | 0.308796 | − | 0.534851i | ||||
\(849\) | 2.24565e14i | 0.509101i | ||||||||
\(850\) | −3.35477e13 | − | 1.93688e13i | −0.0756080 | − | 0.0436523i | ||||
\(851\) | −6.51662e14 | + | 3.76238e14i | −1.46007 | + | 0.842974i | ||||
\(852\) | 9.82255e13 | 0.218789 | ||||||||
\(853\) | −5.82815e13 | − | 1.00947e14i | −0.129058 | − | 0.223535i | 0.794254 | − | 0.607586i | \(-0.207862\pi\) |
−0.923312 | + | 0.384051i | \(0.874529\pi\) | |||||||
\(854\) | −1.36084e14 | − | 7.85683e13i | −0.299584 | − | 0.172965i | ||||
\(855\) | 1.62589e13 | − | 2.81612e13i | 0.0355845 | − | 0.0616341i | ||||
\(856\) | 6.68527e14i | 1.45462i | ||||||||
\(857\) | 1.63439e14 | − | 2.83084e14i | 0.353550 | − | 0.612366i | −0.633319 | − | 0.773891i | \(-0.718308\pi\) |
0.986869 | + | 0.161525i | \(0.0516411\pi\) | |||||||
\(858\) | 1.51050e14 | 0.324851 | ||||||||
\(859\) | − | 1.09464e14i | − | 0.234048i | −0.993129 | − | 0.117024i | \(-0.962664\pi\) | ||
0.993129 | − | 0.117024i | \(-0.0373355\pi\) | |||||||
\(860\) | −2.91763e14 | + | 1.33762e14i | −0.620208 | + | 0.284342i | ||||
\(861\) | −8.03830e13 | −0.169882 | ||||||||
\(862\) | − | 1.97845e14i | − | 0.415708i | ||||||
\(863\) | −1.27514e14 | − | 7.36205e13i | −0.266382 | − | 0.153796i | 0.360860 | − | 0.932620i | \(-0.382483\pi\) |
−0.627243 | + | 0.778824i | \(0.715817\pi\) | |||||||
\(864\) | 4.09590e14 | 0.850709 | ||||||||
\(865\) | 3.99160e13 | + | 2.30455e13i | 0.0824264 | + | 0.0475889i | ||||
\(866\) | 2.47633e13 | − | 4.28913e13i | 0.0508415 | − | 0.0880601i | ||||
\(867\) | 1.24028e14 | − | 7.16076e13i | 0.253177 | − | 0.146172i | ||||
\(868\) | − | 4.53665e14i | − | 0.920739i | ||||||
\(869\) | −5.09926e13 | − | 8.83218e13i | −0.102898 | − | 0.178225i | ||||
\(870\) | 3.71861e13 | − | 6.44082e13i | 0.0746078 | − | 0.129225i | ||||
\(871\) | −1.56957e14 | −0.313106 | ||||||||
\(872\) | −2.51325e13 | − | 1.45103e13i | −0.0498486 | − | 0.0287801i | ||||
\(873\) | 4.15841e13 | + | 7.20258e13i | 0.0820080 | + | 0.142042i | ||||
\(874\) | 1.39074e13 | + | 2.40883e13i | 0.0272702 | + | 0.0472333i | ||||
\(875\) | 1.65149e14 | + | 2.86047e14i | 0.321986 | + | 0.557696i | ||||
\(876\) | −4.15811e14 | −0.806075 | ||||||||
\(877\) | −1.13688e14 | − | 1.96913e14i | −0.219138 | − | 0.379557i | 0.735407 | − | 0.677626i | \(-0.236991\pi\) |
−0.954545 | + | 0.298068i | \(0.903658\pi\) | |||||||
\(878\) | −1.58406e14 | + | 9.14555e13i | −0.303597 | + | 0.175282i | ||||
\(879\) | 4.01275e13 | + | 2.31676e13i | 0.0764712 | + | 0.0441507i | ||||
\(880\) | −1.94083e14 | − | 1.12054e14i | −0.367767 | − | 0.212331i | ||||
\(881\) | −7.46509e14 | −1.40655 | −0.703275 | − | 0.710917i | \(-0.748280\pi\) | ||||
−0.703275 | + | 0.710917i | \(0.748280\pi\) | |||||||
\(882\) | 1.05634e14i | 0.197906i | ||||||||
\(883\) | 1.12967e13 | − | 1.95665e13i | 0.0210451 | − | 0.0364511i | −0.855311 | − | 0.518115i | \(-0.826634\pi\) |
0.876356 | + | 0.481664i | \(0.159967\pi\) | |||||||
\(884\) | −2.32905e14 | + | 4.03403e14i | −0.431437 | + | 0.747270i | ||||
\(885\) | 1.93658e13 | + | 3.35426e13i | 0.0356714 | + | 0.0617846i | ||||
\(886\) | −4.44673e13 | + | 2.56732e13i | −0.0814464 | + | 0.0470231i | ||||
\(887\) | 5.33603e14i | 0.971852i | 0.874000 | + | 0.485926i | \(0.161517\pi\) | ||||
−0.874000 | + | 0.485926i | \(0.838483\pi\) | |||||||
\(888\) | −2.67224e14 | + | 1.54282e14i | −0.483961 | + | 0.279415i | ||||
\(889\) | −2.14117e14 | + | 1.23621e14i | −0.385605 | + | 0.222629i | ||||
\(890\) | −5.96552e12 | + | 3.44420e12i | −0.0106831 | + | 0.00616791i | ||||
\(891\) | −8.25925e13 | + | 1.43054e14i | −0.147079 | + | 0.254749i | ||||
\(892\) | 2.67967e14i | 0.474523i | ||||||||
\(893\) | −1.01319e14 | − | 5.84965e13i | −0.178416 | − | 0.103008i | ||||
\(894\) | −1.63428e13 | + | 9.43552e12i | −0.0286180 | + | 0.0165226i | ||||
\(895\) | −2.15895e14 | −0.375948 | ||||||||
\(896\) | 1.73977e14 | + | 3.01337e14i | 0.301267 | + | 0.521809i | ||||
\(897\) | 4.63662e14 | + | 2.67695e14i | 0.798435 | + | 0.460977i | ||||
\(898\) | −1.21750e14 | + | 2.10877e14i | −0.208490 | + | 0.361116i | ||||
\(899\) | − | 9.66995e14i | − | 1.64674i | ||||||
\(900\) | −6.01788e13 | + | 1.04233e14i | −0.101913 | + | 0.176519i | ||||
\(901\) | −4.52475e14 | −0.762027 | ||||||||
\(902\) | − | 1.36615e14i | − | 0.228805i | ||||||
\(903\) | 1.03926e14 | − | 1.46398e14i | 0.173095 | − | 0.243836i | ||||
\(904\) | 1.71192e14 | 0.283558 | ||||||||
\(905\) | − | 5.74667e14i | − | 0.946616i | ||||||
\(906\) | −4.74028e13 | − | 2.73680e13i | −0.0776539 | − | 0.0448335i | ||||
\(907\) | −8.61278e13 | −0.140316 | −0.0701579 | − | 0.997536i | \(-0.522350\pi\) | ||||
−0.0701579 | + | 0.997536i | \(0.522350\pi\) | |||||||
\(908\) | 5.37502e14 | + | 3.10327e14i | 0.870866 | + | 0.502794i | ||||
\(909\) | −3.48195e14 | + | 6.03091e14i | −0.561051 | + | 0.971770i | ||||
\(910\) | −1.70894e14 | + | 9.86659e13i | −0.273855 | + | 0.158110i | ||||
\(911\) | − | 1.75221e14i | − | 0.279250i | −0.990204 | − | 0.139625i | \(-0.955410\pi\) | ||
0.990204 | − | 0.139625i | \(-0.0445898\pi\) | |||||||
\(912\) | −9.79301e12 | − | 1.69620e13i | −0.0155218 | − | 0.0268845i | ||||
\(913\) | −4.19395e14 | + | 7.26414e14i | −0.661103 | + | 1.14506i | ||||
\(914\) | 4.24627e14 | 0.665698 | ||||||||
\(915\) | 3.28973e14 | + | 1.89932e14i | 0.512926 | + | 0.296138i | ||||
\(916\) | −6.32760e13 | − | 1.09597e14i | −0.0981209 | − | 0.169950i | ||||
\(917\) | 2.84932e14 | + | 4.93516e14i | 0.439434 | + | 0.761123i | ||||
\(918\) | −7.63342e13 | − | 1.32215e14i | −0.117086 | − | 0.202799i | ||||
\(919\) | 5.27372e14 | 0.804525 | 0.402263 | − | 0.915524i | \(-0.368224\pi\) | ||||
0.402263 | + | 0.915524i | \(0.368224\pi\) | |||||||
\(920\) | 2.31290e14 | + | 4.00607e14i | 0.350928 | + | 0.607826i | ||||
\(921\) | 4.04298e13 | − | 2.33422e13i | 0.0610104 | − | 0.0352243i | ||||
\(922\) | −9.35318e13 | − | 5.40006e13i | −0.140380 | − | 0.0810483i | ||||
\(923\) | −4.81094e14 | − | 2.77760e14i | −0.718161 | − | 0.414630i | ||||
\(924\) | 1.65189e14 | 0.245256 | ||||||||
\(925\) | − | 3.28391e14i | − | 0.484934i | ||||||
\(926\) | −1.86526e14 | + | 3.23073e14i | −0.273959 | + | 0.474510i | ||||
\(927\) | −1.94349e14 | + | 3.36622e14i | −0.283912 | + | 0.491750i | ||||
\(928\) | 2.92481e14 | + | 5.06593e14i | 0.424970 | + | 0.736070i | ||||
\(929\) | 9.39119e14 | − | 5.42200e14i | 1.35719 | − | 0.783576i | 0.367949 | − | 0.929846i | \(-0.380060\pi\) |
0.989245 | + | 0.146270i | \(0.0467267\pi\) | |||||||
\(930\) | − | 2.20220e14i | − | 0.316550i | ||||||
\(931\) | 4.59477e13 | − | 2.65279e13i | 0.0656924 | − | 0.0379275i | ||||
\(932\) | −2.11857e14 | + | 1.22316e14i | −0.301275 | + | 0.173941i | ||||
\(933\) | 3.48562e14 | − | 2.01243e14i | 0.493029 | − | 0.284650i | ||||
\(934\) | −1.00960e14 | + | 1.74868e14i | −0.142042 | + | 0.246023i | ||||
\(935\) | 3.74429e14i | 0.523976i | ||||||||
\(936\) | −5.53902e14 | − | 3.19795e14i | −0.770999 | − | 0.445136i | ||||
\(937\) | 3.31346e14 | − | 1.91303e14i | 0.458758 | − | 0.264864i | −0.252764 | − | 0.967528i | \(-0.581340\pi\) |
0.711522 | + | 0.702664i | \(0.248006\pi\) | |||||||
\(938\) | 3.44677e13 | 0.0474677 | ||||||||
\(939\) | −5.98016e13 | − | 1.03579e14i | −0.0819191 | − | 0.141888i | ||||
\(940\) | −7.65635e14 | − | 4.42040e14i | −1.04324 | − | 0.602313i | ||||
\(941\) | −8.86267e13 | + | 1.53506e14i | −0.120120 | + | 0.208055i | −0.919815 | − | 0.392352i | \(-0.871661\pi\) |
0.799695 | + | 0.600407i | \(0.204995\pi\) | |||||||
\(942\) | − | 2.93226e14i | − | 0.395320i | ||||||
\(943\) | 2.42114e14 | − | 4.19353e14i | 0.324684 | − | 0.562369i | ||||
\(944\) | −6.79626e13 | −0.0906588 | ||||||||
\(945\) | 3.22083e14i | 0.427374i | ||||||||
\(946\) | 2.48812e14 | + | 1.76627e14i | 0.328409 | + | 0.233132i | ||||
\(947\) | 3.77740e14 | 0.495955 | 0.247978 | − | 0.968766i | \(-0.420234\pi\) | ||||
0.247978 | + | 0.968766i | \(0.420234\pi\) | |||||||
\(948\) | − | 6.73533e13i | − | 0.0879664i | ||||||
\(949\) | 2.03658e15 | + | 1.17582e15i | 2.64589 | + | 1.52760i | ||||
\(950\) | −1.21388e13 | −0.0156876 | ||||||||
\(951\) | −2.87538e14 | − | 1.66010e14i | −0.369652 | − | 0.213419i | ||||
\(952\) | 1.12562e14 | − | 1.94962e14i | 0.143948 | − | 0.249325i | ||||
\(953\) | −1.35613e14 | + | 7.82961e13i | −0.172519 | + | 0.0996038i | −0.583773 | − | 0.811917i | \(-0.698424\pi\) |
0.411254 | + | 0.911521i | \(0.365091\pi\) | |||||||
\(954\) | − | 2.82297e14i | − | 0.357244i | ||||||
\(955\) | −2.89419e14 | − | 5.01289e14i | −0.364343 | − | 0.631060i | ||||
\(956\) | 1.13848e14 | − | 1.97191e14i | 0.142573 | − | 0.246944i | ||||
\(957\) | 3.52103e14 | 0.438641 | ||||||||
\(958\) | 1.86191e14 | + | 1.07497e14i | 0.230744 | + | 0.133220i | ||||
\(959\) | 1.33082e14 | + | 2.30506e14i | 0.164069 | + | 0.284177i | ||||
\(960\) | −2.22538e13 | − | 3.85448e13i | −0.0272928 | − | 0.0472726i | ||||
\(961\) | −1.02185e15 | − | 1.76989e15i | −1.24672 | − | 2.15939i | ||||
\(962\) | 7.92937e14 | 0.962417 | ||||||||
\(963\) | −5.98320e14 | − | 1.03632e15i | −0.722440 | − | 1.25130i | ||||
\(964\) | 1.01827e15 | − | 5.87901e14i | 1.22315 | − | 0.706186i | ||||
\(965\) | −7.95244e14 | − | 4.59134e14i | −0.950307 | − | 0.548660i | ||||
\(966\) | −1.01820e14 | − | 5.87856e13i | −0.121045 | − | 0.0698853i | ||||
\(967\) | 2.32085e14 | 0.274482 | 0.137241 | − | 0.990538i | \(-0.456176\pi\) | ||||
0.137241 | + | 0.990538i | \(0.456176\pi\) | |||||||
\(968\) | − | 1.91257e13i | − | 0.0225030i | ||||||
\(969\) | −1.63617e13 | + | 2.83393e13i | −0.0191518 | + | 0.0331719i | ||||
\(970\) | −3.16927e13 | + | 5.48933e13i | −0.0369063 | + | 0.0639236i | ||||
\(971\) | −2.24533e14 | − | 3.88903e14i | −0.260126 | − | 0.450552i | 0.706149 | − | 0.708063i | \(-0.250431\pi\) |
−0.966275 | + | 0.257511i | \(0.917097\pi\) | |||||||
\(972\) | −6.46276e14 | + | 3.73128e14i | −0.744881 | + | 0.430057i | ||||
\(973\) | − | 7.63935e14i | − | 0.875976i | ||||||
\(974\) | −3.23019e14 | + | 1.86495e14i | −0.368496 | + | 0.212751i | ||||
\(975\) | −2.02349e14 | + | 1.16826e14i | −0.229656 | + | 0.132592i | ||||
\(976\) | −5.77250e14 | + | 3.33275e14i | −0.651800 | + | 0.376317i | ||||
\(977\) | −2.00417e14 | + | 3.47132e14i | −0.225144 | + | 0.389962i | −0.956363 | − | 0.292182i | \(-0.905619\pi\) |
0.731218 | + | 0.682144i | \(0.238952\pi\) | |||||||
\(978\) | 1.74078e14i | 0.194559i | ||||||||
\(979\) | −2.82428e13 | − | 1.63060e13i | −0.0314047 | − | 0.0181315i | ||||
\(980\) | 3.47212e14 | − | 2.00463e14i | 0.384118 | − | 0.221771i | ||||
\(981\) | 5.19457e13 | 0.0571747 | ||||||||
\(982\) | 6.38103e13 | + | 1.10523e14i | 0.0698769 | + | 0.121030i | ||||
\(983\) | 1.29633e15 | + | 7.48436e14i | 1.41237 | + | 0.815431i | 0.995611 | − | 0.0935866i | \(-0.0298332\pi\) |
0.416757 | + | 0.909018i | \(0.363167\pi\) | |||||||
\(984\) | 9.92822e13 | − | 1.71962e14i | 0.107621 | − | 0.186405i | ||||
\(985\) | 6.72467e13i | 0.0725253i | ||||||||
\(986\) | 1.09018e14 | − | 1.88825e14i | 0.116980 | − | 0.202616i | ||||
\(987\) | 4.94522e14 | 0.527959 | ||||||||
\(988\) | 1.45966e14i | 0.155048i | ||||||||
\(989\) | 4.50726e14 | + | 9.83127e14i | 0.476356 | + | 1.03903i | ||||
\(990\) | −2.33605e14 | −0.245644 | ||||||||
\(991\) | − | 1.55468e15i | − | 1.62657i | −0.581865 | − | 0.813285i | \(-0.697677\pi\) | ||
0.581865 | − | 0.813285i | \(-0.302323\pi\) | |||||||
\(992\) | 1.50005e15 | + | 8.66054e14i | 1.56152 | + | 0.901544i | ||||
\(993\) | 1.59732e13 | 0.0165442 | ||||||||
\(994\) | 1.05648e14 | + | 6.09958e13i | 0.108875 | + | 0.0628590i | ||||
\(995\) | 7.80212e13 | − | 1.35137e14i | 0.0800014 | − | 0.138566i | ||||
\(996\) | −4.79739e14 | + | 2.76978e14i | −0.489450 | + | 0.282584i | ||||
\(997\) | 7.77775e14i | 0.789548i | 0.918778 | + | 0.394774i | \(0.129177\pi\) | ||||
−0.918778 | + | 0.394774i | \(0.870823\pi\) | |||||||
\(998\) | 2.35630e14 | + | 4.08124e14i | 0.238001 | + | 0.412230i | ||||
\(999\) | 6.47111e14 | − | 1.12083e15i | 0.650356 | − | 1.12645i |
(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 | 43.11.d.a.37.21 | yes | 72 | |
43.7 | odd | 6 | inner | 43.11.d.a.7.16 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.16 | ✓ | 72 | 43.7 | odd | 6 | inner | |
43.11.d.a.37.21 | yes | 72 | 1.1 | even | 1 | trivial |