Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −20.1276 | − | 7.32584i | −1.77904 | − | 0.647519i | −0.999783 | − | 0.0208191i | \(-0.993373\pi\) |
−0.779261 | − | 0.626700i | \(-0.784405\pi\) | |||||||
\(3\) | 46.7116 | − | 2.24141i | 0.998851 | − | 0.0479289i | ||||
\(4\) | 253.398 | + | 212.626i | 1.97967 | + | 1.66114i | ||||
\(5\) | 26.6624 | − | 151.210i | 0.0953904 | − | 0.540986i | −0.899237 | − | 0.437463i | \(-0.855877\pi\) |
0.994627 | − | 0.103523i | \(-0.0330117\pi\) | |||||||
\(6\) | −956.612 | − | 297.088i | −1.80803 | − | 0.561507i | ||||
\(7\) | −1123.74 | + | 942.932i | −1.23829 | + | 1.03905i | −0.240639 | + | 0.970615i | \(0.577357\pi\) |
−0.997655 | + | 0.0684374i | \(0.978199\pi\) | |||||||
\(8\) | −2171.79 | − | 3761.65i | −1.49969 | − | 2.59754i | ||||
\(9\) | 2176.95 | − | 209.400i | 0.995406 | − | 0.0957477i | ||||
\(10\) | −1644.39 | + | 2848.17i | −0.520003 | + | 0.900671i | ||||
\(11\) | 679.157 | + | 3851.69i | 0.153849 | + | 0.872523i | 0.959830 | + | 0.280581i | \(0.0905273\pi\) |
−0.805981 | + | 0.591942i | \(0.798362\pi\) | |||||||
\(12\) | 12313.2 | + | 9364.14i | 2.05701 | + | 1.56435i | ||||
\(13\) | −3148.81 | + | 1146.07i | −0.397508 | + | 0.144681i | −0.533036 | − | 0.846093i | \(-0.678949\pi\) |
0.135529 | + | 0.990773i | \(0.456727\pi\) | |||||||
\(14\) | 29526.0 | − | 10746.6i | 2.87579 | − | 1.04670i | ||||
\(15\) | 906.521 | − | 7123.04i | 0.0693519 | − | 0.544936i | ||||
\(16\) | 8803.20 | + | 49925.5i | 0.537305 | + | 3.04721i | ||||
\(17\) | −6063.94 | + | 10503.1i | −0.299353 | + | 0.518495i | −0.975988 | − | 0.217824i | \(-0.930104\pi\) |
0.676635 | + | 0.736319i | \(0.263438\pi\) | |||||||
\(18\) | −45350.8 | − | 11733.3i | −1.83287 | − | 0.474205i | ||||
\(19\) | 16058.2 | + | 27813.5i | 0.537103 | + | 0.930290i | 0.999058 | + | 0.0433871i | \(0.0138149\pi\) |
−0.461955 | + | 0.886903i | \(0.652852\pi\) | |||||||
\(20\) | 38907.5 | − | 32647.2i | 1.08750 | − | 0.912518i | ||||
\(21\) | −50378.4 | + | 46564.7i | −1.18707 | + | 1.09721i | ||||
\(22\) | 14547.1 | − | 82500.6i | 0.291271 | − | 1.65188i | ||||
\(23\) | 29951.3 | + | 25132.1i | 0.513296 | + | 0.430707i | 0.862287 | − | 0.506419i | \(-0.169031\pi\) |
−0.348991 | + | 0.937126i | \(0.613476\pi\) | |||||||
\(24\) | −109879. | − | 170845.i | −1.62247 | − | 2.52268i | ||||
\(25\) | 51259.8 | + | 18657.1i | 0.656126 | + | 0.238810i | ||||
\(26\) | 71774.0 | 0.800867 | ||||||||
\(27\) | 101220. | − | 14660.9i | 0.989673 | − | 0.143346i | ||||
\(28\) | −485246. | −4.17743 | ||||||||
\(29\) | −144854. | − | 52722.5i | −1.10290 | − | 0.401424i | −0.274517 | − | 0.961582i | \(-0.588518\pi\) |
−0.828386 | + | 0.560158i | \(0.810740\pi\) | |||||||
\(30\) | −70428.3 | + | 136728.i | −0.476237 | + | 0.924559i | ||||
\(31\) | 192093. | + | 161185.i | 1.15810 | + | 0.971762i | 0.999878 | − | 0.0156414i | \(-0.00497901\pi\) |
0.158223 | + | 0.987403i | \(0.449423\pi\) | |||||||
\(32\) | 92014.2 | − | 521839.i | 0.496398 | − | 2.81521i | ||||
\(33\) | 40357.8 | + | 178396.i | 0.195492 | + | 0.864146i | ||||
\(34\) | 198996. | − | 166978.i | 0.868298 | − | 0.728588i | ||||
\(35\) | 112619. | + | 195062.i | 0.443991 | + | 0.769015i | ||||
\(36\) | 596159. | + | 409815.i | 2.12963 | + | 1.46396i | ||||
\(37\) | −218330. | + | 378158.i | −0.708609 | + | 1.22735i | 0.256764 | + | 0.966474i | \(0.417344\pi\) |
−0.965373 | + | 0.260873i | \(0.915990\pi\) | |||||||
\(38\) | −119454. | − | 677459.i | −0.353150 | − | 2.00281i | ||||
\(39\) | −144517. | + | 60592.8i | −0.390116 | + | 0.163567i | ||||
\(40\) | −626704. | + | 228102.i | −1.54829 | + | 0.563532i | ||||
\(41\) | 70665.2 | − | 25720.0i | 0.160126 | − | 0.0582811i | −0.260713 | − | 0.965416i | \(-0.583958\pi\) |
0.420840 | + | 0.907135i | \(0.361736\pi\) | |||||||
\(42\) | 1.35512e6 | − | 568171.i | 2.82231 | − | 1.18333i | ||||
\(43\) | −80607.5 | − | 457148.i | −0.154609 | − | 0.876833i | −0.959142 | − | 0.282925i | \(-0.908695\pi\) |
0.804533 | − | 0.593908i | \(-0.202416\pi\) | |||||||
\(44\) | −646873. | + | 1.12042e6i | −1.14481 | + | 1.98287i | ||||
\(45\) | 26379.4 | − | 334760.i | 0.0431540 | − | 0.547634i | ||||
\(46\) | −418733. | − | 725267.i | −0.634286 | − | 1.09861i | ||||
\(47\) | −504663. | + | 423462.i | −0.709021 | + | 0.594939i | −0.924324 | − | 0.381608i | \(-0.875370\pi\) |
0.215304 | + | 0.976547i | \(0.430926\pi\) | |||||||
\(48\) | 523116. | + | 2.31237e6i | 0.682737 | + | 3.01795i | ||||
\(49\) | 230670. | − | 1.30820e6i | 0.280095 | − | 1.58850i | ||||
\(50\) | −895058. | − | 751043.i | −1.01264 | − | 0.849708i | ||||
\(51\) | −259715. | + | 504207.i | −0.274158 | + | 0.532247i | ||||
\(52\) | −1.04159e6 | − | 379107.i | −1.02727 | − | 0.373896i | ||||
\(53\) | −424944. | −0.392072 | −0.196036 | − | 0.980597i | \(-0.562807\pi\) | ||||
−0.196036 | + | 0.980597i | \(0.562807\pi\) | |||||||
\(54\) | −2.14471e6 | − | 446431.i | −1.85349 | − | 0.385812i | ||||
\(55\) | 600523. | 0.486699 | ||||||||
\(56\) | 5.98751e6 | + | 2.17927e6i | 4.55604 | + | 1.65826i | ||||
\(57\) | 812444. | + | 1.26322e6i | 0.581074 | + | 0.903479i | ||||
\(58\) | 2.52932e6 | + | 2.12235e6i | 1.70218 | + | 1.42830i | ||||
\(59\) | 181202. | − | 1.02765e6i | 0.114863 | − | 0.651422i | −0.871955 | − | 0.489587i | \(-0.837148\pi\) |
0.986818 | − | 0.161835i | \(-0.0517412\pi\) | |||||||
\(60\) | 1.74425e6 | − | 1.61221e6i | 1.04251 | − | 0.963592i | ||||
\(61\) | 1.35365e6 | − | 1.13585e6i | 0.763575 | − | 0.640715i | −0.175480 | − | 0.984483i | \(-0.556148\pi\) |
0.939055 | + | 0.343768i | \(0.111703\pi\) | |||||||
\(62\) | −2.68556e6 | − | 4.65152e6i | −1.43108 | − | 2.47870i | ||||
\(63\) | −2.24888e6 | + | 2.28803e6i | −1.13312 | + | 1.15284i | ||||
\(64\) | −2.43041e6 | + | 4.20960e6i | −1.15891 | + | 2.00729i | ||||
\(65\) | 89343.1 | + | 506690.i | 0.0403519 | + | 0.228847i | ||||
\(66\) | 494600. | − | 3.88634e6i | 0.211763 | − | 1.66394i | ||||
\(67\) | −2.16437e6 | + | 787765.i | −0.879163 | + | 0.319989i | −0.741872 | − | 0.670542i | \(-0.766062\pi\) |
−0.137291 | + | 0.990531i | \(0.543839\pi\) | |||||||
\(68\) | −3.76981e6 | + | 1.37210e6i | −1.45391 | + | 0.529182i | ||||
\(69\) | 1.45540e6 | + | 1.10683e6i | 0.533349 | + | 0.405610i | ||||
\(70\) | −837758. | − | 4.75116e6i | −0.291928 | − | 1.65561i | ||||
\(71\) | −1.66456e6 | + | 2.88310e6i | −0.551943 | + | 0.955994i | 0.446191 | + | 0.894938i | \(0.352780\pi\) |
−0.998134 | + | 0.0610561i | \(0.980553\pi\) | |||||||
\(72\) | −5.51557e6 | − | 7.73415e6i | −1.74151 | − | 2.44202i | ||||
\(73\) | −96767.0 | − | 167605.i | −0.0291137 | − | 0.0504264i | 0.851101 | − | 0.525001i | \(-0.175935\pi\) |
−0.880215 | + | 0.474575i | \(0.842602\pi\) | |||||||
\(74\) | 7.16477e6 | − | 6.01196e6i | 2.05538 | − | 1.72467i | ||||
\(75\) | 2.43625e6 | + | 756607.i | 0.666818 | + | 0.207088i | ||||
\(76\) | −1.84478e6 | + | 1.04623e7i | −0.482056 | + | 2.73388i | ||||
\(77\) | −4.39508e6 | − | 3.68791e6i | −1.09711 | − | 0.920583i | ||||
\(78\) | 3.35268e6 | − | 160875.i | 0.799947 | − | 0.0383847i | ||||
\(79\) | 561233. | + | 204272.i | 0.128070 | + | 0.0466137i | 0.405260 | − | 0.914201i | \(-0.367181\pi\) |
−0.277190 | + | 0.960815i | \(0.589403\pi\) | |||||||
\(80\) | 7.78395e6 | 1.69975 | ||||||||
\(81\) | 4.69527e6 | − | 911709.i | 0.981665 | − | 0.190616i | ||||
\(82\) | −1.61074e6 | −0.322609 | ||||||||
\(83\) | 341118. | + | 124157.i | 0.0654835 | + | 0.0238340i | 0.374554 | − | 0.927205i | \(-0.377796\pi\) |
−0.309071 | + | 0.951039i | \(0.600018\pi\) | |||||||
\(84\) | −2.26666e7 | + | 1.08764e6i | −4.17263 | + | 0.200220i | ||||
\(85\) | 1.42649e6 | + | 1.19697e6i | 0.251943 | + | 0.211405i | ||||
\(86\) | −1.72656e6 | + | 9.79180e6i | −0.292709 | + | 1.66004i | ||||
\(87\) | −6.88454e6 | − | 2.13808e6i | −1.12088 | − | 0.348102i | ||||
\(88\) | 1.30137e7 | − | 1.09198e7i | 2.03569 | − | 1.70815i | ||||
\(89\) | −2.76656e6 | − | 4.79183e6i | −0.415983 | − | 0.720503i | 0.579548 | − | 0.814938i | \(-0.303229\pi\) |
−0.995531 | + | 0.0944345i | \(0.969896\pi\) | |||||||
\(90\) | −2.98336e6 | + | 6.54467e6i | −0.431376 | + | 0.946322i | ||||
\(91\) | 2.45779e6 | − | 4.25701e6i | 0.341900 | − | 0.592189i | ||||
\(92\) | 2.24585e6 | + | 1.27369e7i | 0.300693 | + | 1.70532i | ||||
\(93\) | 9.33428e6 | + | 7.09867e6i | 1.20335 | + | 0.915139i | ||||
\(94\) | 1.32599e7 | − | 4.82620e6i | 1.64661 | − | 0.599318i | ||||
\(95\) | 4.63384e6 | − | 1.68658e6i | 0.554509 | − | 0.201825i | ||||
\(96\) | 3.12848e6 | − | 2.45822e7i | 0.360897 | − | 2.83577i | ||||
\(97\) | 289042. | + | 1.63924e6i | 0.0321558 | + | 0.182365i | 0.996655 | − | 0.0817199i | \(-0.0260413\pi\) |
−0.964500 | + | 0.264085i | \(0.914930\pi\) | |||||||
\(98\) | −1.42265e7 | + | 2.46410e7i | −1.52688 | + | 2.64464i | ||||
\(99\) | 2.28504e6 | + | 8.24273e6i | 0.236685 | + | 0.853784i | ||||
\(100\) | 9.02216e6 | + | 1.56268e7i | 0.902216 | + | 1.56268i | ||||
\(101\) | −1.22247e7 | + | 1.02577e7i | −1.18063 | + | 0.990663i | −0.180651 | + | 0.983547i | \(0.557820\pi\) |
−0.999975 | + | 0.00711522i | \(0.997735\pi\) | |||||||
\(102\) | 8.92117e6 | − | 8.24583e6i | 0.832379 | − | 0.769367i | ||||
\(103\) | 2.83434e6 | − | 1.60743e7i | 0.255576 | − | 1.44945i | −0.539012 | − | 0.842298i | \(-0.681202\pi\) |
0.794589 | − | 0.607148i | \(-0.207687\pi\) | |||||||
\(104\) | 1.11497e7 | + | 9.35569e6i | 0.971954 | + | 0.815566i | ||||
\(105\) | 5.69784e6 | + | 8.85925e6i | 0.480339 | + | 0.746852i | ||||
\(106\) | 8.55309e6 | + | 3.11307e6i | 0.697514 | + | 0.253874i | ||||
\(107\) | 6.40133e6 | 0.505158 | 0.252579 | − | 0.967576i | \(-0.418721\pi\) | ||||
0.252579 | + | 0.967576i | \(0.418721\pi\) | |||||||
\(108\) | 2.87661e7 | + | 1.78069e7i | 2.19735 | + | 1.36021i | ||||
\(109\) | −4.45494e6 | −0.329495 | −0.164748 | − | 0.986336i | \(-0.552681\pi\) | ||||
−0.164748 | + | 0.986336i | \(0.552681\pi\) | |||||||
\(110\) | −1.20871e7 | − | 4.39933e6i | −0.865858 | − | 0.315147i | ||||
\(111\) | −9.35092e6 | + | 1.81537e7i | −0.648969 | + | 1.25990i | ||||
\(112\) | −5.69689e7 | − | 4.78025e7i | −3.83155 | − | 3.21505i | ||||
\(113\) | 1.72967e6 | − | 9.80942e6i | 0.112768 | − | 0.639542i | −0.875062 | − | 0.484010i | \(-0.839180\pi\) |
0.987831 | − | 0.155532i | \(-0.0497091\pi\) | |||||||
\(114\) | −7.09837e6 | − | 3.13775e7i | −0.448737 | − | 1.98358i | ||||
\(115\) | 4.59880e6 | − | 3.85886e6i | 0.281970 | − | 0.236601i | ||||
\(116\) | −2.54955e7 | − | 4.41595e7i | −1.51656 | − | 2.62677i | ||||
\(117\) | −6.61483e6 | + | 3.15431e6i | −0.381828 | + | 0.182077i | ||||
\(118\) | −1.11755e7 | + | 1.93566e7i | −0.626155 | + | 1.08453i | ||||
\(119\) | −3.08936e6 | − | 1.75206e7i | −0.168056 | − | 0.953092i | ||||
\(120\) | −2.87631e7 | + | 1.20597e7i | −1.51950 | + | 0.637092i | ||||
\(121\) | 3.93769e6 | − | 1.43320e6i | 0.202066 | − | 0.0735460i | ||||
\(122\) | −3.55667e7 | + | 1.29452e7i | −1.77331 | + | 0.645431i | ||||
\(123\) | 3.24324e6 | − | 1.35981e6i | 0.157149 | − | 0.0658888i | ||||
\(124\) | 1.44038e7 | + | 8.16881e7i | 0.678425 | + | 3.84754i | ||||
\(125\) | 1.01856e7 | − | 1.76420e7i | 0.466447 | − | 0.807910i | ||||
\(126\) | 6.20264e7 | − | 2.95776e7i | 2.76235 | − | 1.31724i | ||||
\(127\) | −1.28874e7 | − | 2.23216e7i | −0.558280 | − | 0.966970i | −0.997640 | − | 0.0686587i | \(-0.978128\pi\) |
0.439360 | − | 0.898311i | \(-0.355205\pi\) | |||||||
\(128\) | 2.77996e7 | − | 2.33266e7i | 1.17166 | − | 0.983144i | ||||
\(129\) | −4.78996e6 | − | 2.11734e7i | −0.196457 | − | 0.868415i | ||||
\(130\) | 1.91367e6 | − | 1.08530e7i | 0.0763951 | − | 0.433258i | ||||
\(131\) | 2.59630e7 | + | 2.17855e7i | 1.00903 | + | 0.846679i | 0.988210 | − | 0.153104i | \(-0.0489271\pi\) |
0.0208225 | + | 0.999783i | \(0.493372\pi\) | |||||||
\(132\) | −2.77052e7 | + | 5.37864e7i | −1.04846 | + | 2.03547i | ||||
\(133\) | −4.42715e7 | − | 1.61135e7i | −1.63171 | − | 0.593895i | ||||
\(134\) | 4.93345e7 | 1.77127 | ||||||||
\(135\) | 481888. | − | 1.56963e7i | 0.0168569 | − | 0.549073i | ||||
\(136\) | 5.26784e7 | 1.79575 | ||||||||
\(137\) | 4.79985e6 | + | 1.74700e6i | 0.159480 | + | 0.0580459i | 0.420526 | − | 0.907280i | \(-0.361845\pi\) |
−0.261047 | + | 0.965326i | \(0.584068\pi\) | |||||||
\(138\) | −2.11853e7 | − | 3.29398e7i | −0.686212 | − | 1.06695i | ||||
\(139\) | 2.79272e7 | + | 2.34337e7i | 0.882015 | + | 0.740099i | 0.966592 | − | 0.256318i | \(-0.0825096\pi\) |
−0.0845773 | + | 0.996417i | \(0.526954\pi\) | |||||||
\(140\) | −1.29378e7 | + | 7.33742e7i | −0.398487 | + | 2.25993i | ||||
\(141\) | −2.26245e7 | + | 2.09118e7i | −0.679691 | + | 0.628238i | ||||
\(142\) | 5.46246e7 | − | 4.58355e7i | 1.60096 | − | 1.34336i | ||||
\(143\) | −6.55286e6 | − | 1.13499e7i | −0.187394 | − | 0.324575i | ||||
\(144\) | 2.96186e7 | + | 1.06842e8i | 0.826600 | + | 2.98176i | ||||
\(145\) | −1.18343e7 | + | 2.04977e7i | −0.322371 | + | 0.558363i | ||||
\(146\) | 719835. | + | 4.08239e6i | 0.0191425 | + | 0.108562i | ||||
\(147\) | 7.84277e6 | − | 6.16250e7i | 0.203638 | − | 1.60010i | ||||
\(148\) | −1.35731e8 | + | 4.94019e7i | −3.44161 | + | 1.25264i | ||||
\(149\) | 2.78631e7 | − | 1.01413e7i | 0.690044 | − | 0.251155i | 0.0268899 | − | 0.999638i | \(-0.491440\pi\) |
0.663154 | + | 0.748483i | \(0.269217\pi\) | |||||||
\(150\) | −4.34930e7 | − | 3.30762e7i | −1.05220 | − | 0.800197i | ||||
\(151\) | −5.72769e6 | − | 3.24834e7i | −0.135382 | − | 0.767788i | −0.974593 | − | 0.223983i | \(-0.928094\pi\) |
0.839211 | − | 0.543806i | \(-0.183017\pi\) | |||||||
\(152\) | 6.97498e7 | − | 1.20810e8i | 1.61098 | − | 2.79030i | ||||
\(153\) | −1.10016e7 | + | 2.41344e7i | −0.248333 | + | 0.544775i | ||||
\(154\) | 6.14453e7 | + | 1.06426e8i | 1.35571 | + | 2.34815i | ||||
\(155\) | 2.94946e7 | − | 2.47489e7i | 0.636181 | − | 0.533820i | ||||
\(156\) | −4.95040e7 | − | 1.53741e7i | −1.04401 | − | 0.324230i | ||||
\(157\) | −2.07199e6 | + | 1.17508e7i | −0.0427305 | + | 0.242337i | −0.998690 | − | 0.0511604i | \(-0.983708\pi\) |
0.955960 | + | 0.293497i | \(0.0948192\pi\) | |||||||
\(158\) | −9.79979e6 | − | 8.22300e6i | −0.197659 | − | 0.165856i | ||||
\(159\) | −1.98498e7 | + | 952475.i | −0.391622 | + | 0.0187916i | ||||
\(160\) | −7.64540e7 | − | 2.78270e7i | −1.47564 | − | 0.537089i | ||||
\(161\) | −5.73554e7 | −1.08314 | ||||||||
\(162\) | −1.01184e8 | − | 1.60463e7i | −1.86985 | − | 0.296533i | ||||
\(163\) | 9.91609e6 | 0.179343 | 0.0896714 | − | 0.995971i | \(-0.471418\pi\) | ||||
0.0896714 | + | 0.995971i | \(0.471418\pi\) | |||||||
\(164\) | 2.33752e7 | + | 8.50787e6i | 0.413810 | + | 0.150615i | ||||
\(165\) | 2.80514e7 | − | 1.34602e6i | 0.486139 | − | 0.0233269i | ||||
\(166\) | −5.95633e6 | − | 4.99796e6i | −0.101065 | − | 0.0848036i | ||||
\(167\) | 6.90342e6 | − | 3.91512e7i | 0.114698 | − | 0.650486i | −0.872201 | − | 0.489148i | \(-0.837308\pi\) |
0.986899 | − | 0.161338i | \(-0.0515810\pi\) | |||||||
\(168\) | 2.84571e8 | + | 8.83770e7i | 4.63029 | + | 1.43799i | ||||
\(169\) | −3.94666e7 | + | 3.31164e7i | −0.628965 | + | 0.527764i | ||||
\(170\) | −1.99430e7 | − | 3.45423e7i | −0.311329 | − | 0.539237i | ||||
\(171\) | 4.07820e7 | + | 5.71862e7i | 0.623709 | + | 0.874590i | ||||
\(172\) | 7.67758e7 | − | 1.32980e8i | 1.15047 | − | 1.99267i | ||||
\(173\) | 1.59915e7 | + | 9.06921e7i | 0.234815 | + | 1.33170i | 0.843002 | + | 0.537911i | \(0.180786\pi\) |
−0.608186 | + | 0.793794i | \(0.708103\pi\) | |||||||
\(174\) | 1.22906e8 | + | 9.34694e7i | 1.76868 | + | 1.34508i | ||||
\(175\) | −7.51952e7 | + | 2.73688e7i | −1.06061 | + | 0.386032i | ||||
\(176\) | −1.86319e8 | + | 6.78144e7i | −2.57609 | + | 0.937622i | ||||
\(177\) | 6.16086e6 | − | 4.84093e7i | 0.0835093 | − | 0.656178i | ||||
\(178\) | 2.05801e7 | + | 1.16715e8i | 0.273512 | + | 1.55116i | ||||
\(179\) | 3.39791e7 | − | 5.88535e7i | 0.442819 | − | 0.766984i | −0.555079 | − | 0.831798i | \(-0.687312\pi\) |
0.997897 | + | 0.0648136i | \(0.0206453\pi\) | |||||||
\(180\) | 7.78633e7 | − | 7.92187e7i | 0.995129 | − | 1.01245i | ||||
\(181\) | −4.72439e6 | − | 8.18288e6i | −0.0592203 | − | 0.102573i | 0.834895 | − | 0.550409i | \(-0.185528\pi\) |
−0.894116 | + | 0.447836i | \(0.852195\pi\) | |||||||
\(182\) | −8.06555e7 | + | 6.76780e7i | −0.991709 | + | 0.832143i | ||||
\(183\) | 6.06852e7 | − | 5.60913e7i | 0.731988 | − | 0.676576i | ||||
\(184\) | 2.94903e7 | − | 1.67248e8i | 0.348993 | − | 1.97924i | ||||
\(185\) | 5.13601e7 | + | 4.30963e7i | 0.596383 | + | 0.500425i | ||||
\(186\) | −1.35873e8 | − | 2.11261e8i | −1.54823 | − | 2.40726i | ||||
\(187\) | −4.45729e7 | − | 1.62232e7i | −0.498454 | − | 0.181422i | ||||
\(188\) | −2.17920e8 | −2.39191 | ||||||||
\(189\) | −9.99206e7 | + | 1.11918e8i | −1.07656 | + | 1.20583i | ||||
\(190\) | −1.05624e8 | −1.11718 | ||||||||
\(191\) | 1.08683e8 | + | 3.95575e7i | 1.12861 | + | 0.410782i | 0.837789 | − | 0.545994i | \(-0.183848\pi\) |
0.290826 | + | 0.956776i | \(0.406070\pi\) | |||||||
\(192\) | −1.04093e8 | + | 2.02085e8i | −1.06137 | + | 2.06053i | ||||
\(193\) | 2.68063e7 | + | 2.24931e7i | 0.268402 | + | 0.225216i | 0.767048 | − | 0.641590i | \(-0.221725\pi\) |
−0.498646 | + | 0.866806i | \(0.666169\pi\) | |||||||
\(194\) | 6.19108e6 | − | 3.51114e7i | 0.0608780 | − | 0.345256i | ||||
\(195\) | 5.30906e6 | + | 2.34681e7i | 0.0512740 | + | 0.226650i | ||||
\(196\) | 3.36608e8 | − | 2.82448e8i | 3.19321 | − | 2.67942i | ||||
\(197\) | 8.88067e7 | + | 1.53818e8i | 0.827588 | + | 1.43342i | 0.899926 | + | 0.436044i | \(0.143621\pi\) |
−0.0723379 | + | 0.997380i | \(0.523046\pi\) | |||||||
\(198\) | 1.43927e7 | − | 1.82646e8i | 0.131769 | − | 1.67218i | ||||
\(199\) | −6.44461e7 | + | 1.11624e8i | −0.579710 | + | 1.00409i | 0.415802 | + | 0.909455i | \(0.363501\pi\) |
−0.995512 | + | 0.0946326i | \(0.969832\pi\) | |||||||
\(200\) | −4.11442e7 | − | 2.33341e8i | −0.363667 | − | 2.06246i | ||||
\(201\) | −9.93354e7 | + | 4.16490e7i | −0.862815 | + | 0.361759i | ||||
\(202\) | 3.21199e8 | − | 1.16907e8i | 2.74186 | − | 0.997955i | ||||
\(203\) | 2.12492e8 | − | 7.73409e7i | 1.78282 | − | 0.648893i | ||||
\(204\) | −1.73019e8 | + | 7.25428e7i | −1.42688 | + | 0.598258i | ||||
\(205\) | −2.00502e6 | − | 1.13711e7i | −0.0162548 | − | 0.0921854i | ||||
\(206\) | −1.74806e8 | + | 3.02773e8i | −1.39323 | + | 2.41314i | ||||
\(207\) | 7.04652e7 | + | 4.84396e7i | 0.552177 | + | 0.379581i | ||||
\(208\) | −8.49380e7 | − | 1.47117e8i | −0.654456 | − | 1.13355i | ||||
\(209\) | −9.62231e7 | + | 8.07408e7i | −0.729067 | + | 0.611760i | ||||
\(210\) | −4.97824e7 | − | 2.20057e8i | −0.370944 | − | 1.63971i | ||||
\(211\) | −3.12660e7 | + | 1.77318e8i | −0.229131 | + | 1.29947i | 0.625497 | + | 0.780227i | \(0.284896\pi\) |
−0.854628 | + | 0.519241i | \(0.826215\pi\) | |||||||
\(212\) | −1.07680e8 | − | 9.03542e7i | −0.776174 | − | 0.651287i | ||||
\(213\) | −7.12920e7 | + | 1.38405e8i | −0.505489 | + | 0.981349i | ||||
\(214\) | −1.28843e8 | − | 4.68951e7i | −0.898697 | − | 0.327099i | ||||
\(215\) | −7.12746e7 | −0.489103 | ||||||||
\(216\) | −2.74977e8 | − | 3.48912e8i | −1.85655 | − | 2.35574i | ||||
\(217\) | −3.67850e8 | −2.44378 | ||||||||
\(218\) | 8.96672e7 | + | 3.26362e7i | 0.586187 | + | 0.213354i | ||||
\(219\) | −4.89582e6 | − | 7.61222e6i | −0.0314971 | − | 0.0489730i | ||||
\(220\) | 1.52171e8 | + | 1.27687e8i | 0.963503 | + | 0.808475i | ||||
\(221\) | 7.05694e6 | − | 4.00219e7i | 0.0439788 | − | 0.249416i | ||||
\(222\) | 3.21203e8 | − | 2.96888e8i | 1.97035 | − | 1.82120i | ||||
\(223\) | 1.88784e8 | − | 1.58409e8i | 1.13998 | − | 0.956559i | 0.140544 | − | 0.990074i | \(-0.455115\pi\) |
0.999438 | + | 0.0335159i | \(0.0106704\pi\) | |||||||
\(224\) | 3.88658e8 | + | 6.73176e8i | 2.31047 | + | 4.00185i | ||||
\(225\) | 1.15497e8 | + | 2.98817e7i | 0.675977 | + | 0.174891i | ||||
\(226\) | −1.06676e8 | + | 1.84769e8i | −0.614736 | + | 1.06475i | ||||
\(227\) | −1.29989e7 | − | 7.37204e7i | −0.0737591 | − | 0.418309i | −0.999221 | − | 0.0394677i | \(-0.987434\pi\) |
0.925462 | − | 0.378841i | \(-0.123677\pi\) | |||||||
\(228\) | −6.27225e7 | + | 4.92845e8i | −0.350470 | + | 2.75384i | ||||
\(229\) | 2.82300e8 | − | 1.02749e8i | 1.55341 | − | 0.565395i | 0.584195 | − | 0.811613i | \(-0.301410\pi\) |
0.969214 | + | 0.246218i | \(0.0791880\pi\) | |||||||
\(230\) | −1.20832e8 | + | 4.39793e7i | −0.654840 | + | 0.238342i | ||||
\(231\) | −2.13567e8 | − | 1.62417e8i | −1.13997 | − | 0.866941i | ||||
\(232\) | 1.16268e8 | + | 6.59391e8i | 0.611300 | + | 3.46685i | ||||
\(233\) | 1.65588e8 | − | 2.86807e8i | 0.857599 | − | 1.48540i | −0.0166147 | − | 0.999862i | \(-0.505289\pi\) |
0.874213 | − | 0.485542i | \(-0.161378\pi\) | |||||||
\(234\) | 1.56249e8 | − | 1.50295e7i | 0.797187 | − | 0.0766812i | ||||
\(235\) | 5.05763e7 | + | 8.76007e7i | 0.254220 | + | 0.440322i | ||||
\(236\) | 2.64421e8 | − | 2.21876e8i | 1.30950 | − | 1.09880i | ||||
\(237\) | 2.66739e7 | + | 8.28392e6i | 0.130157 | + | 0.0404219i | ||||
\(238\) | −6.61720e7 | + | 3.75280e8i | −0.318167 | + | 1.80441i | ||||
\(239\) | −7.68469e7 | − | 6.44822e7i | −0.364111 | − | 0.305525i | 0.442316 | − | 0.896859i | \(-0.354157\pi\) |
−0.806427 | + | 0.591334i | \(0.798601\pi\) | |||||||
\(240\) | 3.63601e8 | − | 1.74471e7i | 1.69780 | − | 0.0814672i | ||||
\(241\) | −8.42094e7 | − | 3.06497e7i | −0.387526 | − | 0.141048i | 0.140907 | − | 0.990023i | \(-0.454998\pi\) |
−0.528433 | + | 0.848975i | \(0.677220\pi\) | |||||||
\(242\) | −8.97557e7 | −0.407106 | ||||||||
\(243\) | 2.17280e8 | − | 5.31114e7i | 0.971401 | − | 0.237447i | ||||
\(244\) | 5.84523e8 | 2.57595 | ||||||||
\(245\) | −1.91662e8 | − | 6.97593e7i | −0.832636 | − | 0.303055i | ||||
\(246\) | −7.52403e7 | + | 3.61034e6i | −0.322239 | + | 0.0154623i | ||||
\(247\) | −8.24405e7 | − | 6.91758e7i | −0.348098 | − | 0.292089i | ||||
\(248\) | 1.89137e8 | − | 1.07265e9i | 0.787399 | − | 4.46556i | ||||
\(249\) | 1.62125e7 | + | 5.03498e6i | 0.0665506 | + | 0.0206681i | ||||
\(250\) | −3.34254e8 | + | 2.80473e8i | −1.35297 | + | 1.13527i | ||||
\(251\) | −1.10349e8 | − | 1.91130e8i | −0.440464 | − | 0.762905i | 0.557260 | − | 0.830338i | \(-0.311853\pi\) |
−0.997724 | + | 0.0674327i | \(0.978519\pi\) | |||||||
\(252\) | −1.05636e9 | + | 1.01611e8i | −4.15824 | + | 0.399979i | ||||
\(253\) | −7.64595e7 | + | 1.32432e8i | −0.296831 | + | 0.514126i | ||||
\(254\) | 9.58675e7 | + | 5.43692e8i | 0.367074 | + | 2.08178i | ||||
\(255\) | 6.93165e7 | + | 5.27149e7i | 0.261786 | + | 0.199087i | ||||
\(256\) | −1.45763e8 | + | 5.30533e7i | −0.543008 | + | 0.197639i | ||||
\(257\) | 1.25635e8 | − | 4.57274e7i | 0.461684 | − | 0.168039i | −0.100698 | − | 0.994917i | \(-0.532107\pi\) |
0.562382 | + | 0.826878i | \(0.309885\pi\) | |||||||
\(258\) | −5.87028e7 | + | 4.61261e8i | −0.212809 | + | 1.67216i | ||||
\(259\) | −1.11231e8 | − | 6.30822e8i | −0.397811 | − | 2.25610i | ||||
\(260\) | −8.50962e7 | + | 1.47391e8i | −0.300264 | + | 0.520073i | ||||
\(261\) | −3.26380e8 | − | 8.44420e7i | −1.13627 | − | 0.293979i | ||||
\(262\) | −3.62975e8 | − | 6.28691e8i | −1.24687 | − | 2.15965i | ||||
\(263\) | −1.59114e8 | + | 1.33512e8i | −0.539340 | + | 0.452560i | −0.871312 | − | 0.490729i | \(-0.836731\pi\) |
0.331972 | + | 0.943289i | \(0.392286\pi\) | |||||||
\(264\) | 5.83416e8 | − | 5.39251e8i | 1.95148 | − | 1.80375i | ||||
\(265\) | −1.13300e7 | + | 6.42558e7i | −0.0373999 | + | 0.212106i | ||||
\(266\) | 7.73034e8 | + | 6.48652e8i | 2.51833 | + | 2.11313i | ||||
\(267\) | −1.39971e8 | − | 2.17633e8i | −0.450038 | − | 0.699738i | ||||
\(268\) | −7.15946e8 | − | 2.60583e8i | −2.27200 | − | 0.826941i | ||||
\(269\) | −2.54854e8 | −0.798286 | −0.399143 | − | 0.916889i | \(-0.630692\pi\) | ||||
−0.399143 | + | 0.916889i | \(0.630692\pi\) | |||||||
\(270\) | −1.24688e8 | + | 3.12399e8i | −0.385524 | + | 0.965910i | ||||
\(271\) | 2.08428e8 | 0.636157 | 0.318078 | − | 0.948064i | \(-0.396963\pi\) | ||||
0.318078 | + | 0.948064i | \(0.396963\pi\) | |||||||
\(272\) | −5.77752e8 | − | 2.10284e8i | −1.74081 | − | 0.633601i | ||||
\(273\) | 1.05265e8 | − | 2.04361e8i | 0.313124 | − | 0.607895i | ||||
\(274\) | −8.38112e7 | − | 7.03259e7i | −0.246136 | − | 0.206533i | ||||
\(275\) | −3.70477e7 | + | 2.10108e8i | −0.107423 | + | 0.609226i | ||||
\(276\) | 1.33456e8 | + | 5.89925e8i | 0.382081 | + | 1.68894i | ||||
\(277\) | 3.01004e8 | − | 2.52572e8i | 0.850927 | − | 0.714013i | −0.109066 | − | 0.994034i | \(-0.534786\pi\) |
0.959994 | + | 0.280022i | \(0.0903417\pi\) | |||||||
\(278\) | −3.90436e8 | − | 6.76255e8i | −1.08992 | − | 1.88779i | ||||
\(279\) | 4.51930e8 | + | 3.10669e8i | 1.24582 | + | 0.856412i | ||||
\(280\) | 4.89170e8 | − | 8.47267e8i | 1.33170 | − | 2.30657i | ||||
\(281\) | 9.31249e7 | + | 5.28137e8i | 0.250376 | + | 1.41996i | 0.807668 | + | 0.589638i | \(0.200730\pi\) |
−0.557291 | + | 0.830317i | \(0.688159\pi\) | |||||||
\(282\) | 6.08572e8 | − | 2.55160e8i | 1.61600 | − | 0.677550i | ||||
\(283\) | 1.08331e8 | − | 3.94293e7i | 0.284119 | − | 0.103411i | −0.196030 | − | 0.980598i | \(-0.562805\pi\) |
0.480149 | + | 0.877187i | \(0.340583\pi\) | |||||||
\(284\) | −1.03482e9 | + | 3.76643e8i | −2.68071 | + | 0.975698i | ||||
\(285\) | 2.12674e8 | − | 8.91692e7i | 0.544198 | − | 0.228170i | ||||
\(286\) | 4.87458e7 | + | 2.76451e8i | 0.123213 | + | 0.698775i | ||||
\(287\) | −5.51573e7 | + | 9.55352e7i | −0.137726 | + | 0.238548i | ||||
\(288\) | 9.10375e7 | − | 1.15529e9i | 0.224567 | − | 2.84981i | ||||
\(289\) | 1.31627e8 | + | 2.27984e8i | 0.320775 | + | 0.555599i | ||||
\(290\) | 3.88360e8 | − | 3.25872e8i | 0.935063 | − | 0.784611i | ||||
\(291\) | 1.71758e7 | + | 7.59236e7i | 0.0408594 | + | 0.180614i | ||||
\(292\) | 1.11167e7 | − | 6.30460e7i | 0.0261298 | − | 0.148190i | ||||
\(293\) | −3.85288e8 | − | 3.23295e8i | −0.894846 | − | 0.750865i | 0.0743298 | − | 0.997234i | \(-0.476318\pi\) |
−0.969176 | + | 0.246368i | \(0.920763\pi\) | |||||||
\(294\) | −6.09311e8 | + | 1.18291e9i | −1.39837 | + | 2.71478i | ||||
\(295\) | −1.50560e8 | − | 5.47992e7i | −0.341453 | − | 0.124279i | ||||
\(296\) | 1.89666e9 | 4.25078 | ||||||||
\(297\) | 1.25213e8 | + | 3.79910e8i | 0.277334 | + | 0.841458i | ||||
\(298\) | −6.35110e8 | −1.39025 | ||||||||
\(299\) | −1.23114e8 | − | 4.48099e7i | −0.266354 | − | 0.0969449i | ||||
\(300\) | 4.56466e8 | + | 7.09733e8i | 0.976077 | + | 1.51765i | ||||
\(301\) | 5.21641e8 | + | 4.37709e8i | 1.10253 | + | 0.925130i | ||||
\(302\) | −1.22683e8 | + | 6.95772e8i | −0.256307 | + | 1.45359i | ||||
\(303\) | −5.48042e8 | + | 5.06555e8i | −1.13179 | + | 1.04611i | ||||
\(304\) | −1.24724e9 | + | 1.04656e9i | −2.54620 | + | 2.13652i | ||||
\(305\) | −1.35660e8 | − | 2.34970e8i | −0.273780 | − | 0.474201i | ||||
\(306\) | 3.98240e8 | − | 4.05172e8i | 0.794548 | − | 0.808378i | ||||
\(307\) | 3.27748e8 | − | 5.67676e8i | 0.646481 | − | 1.11974i | −0.337477 | − | 0.941334i | \(-0.609573\pi\) |
0.983957 | − | 0.178404i | \(-0.0570933\pi\) | |||||||
\(308\) | −3.29558e8 | − | 1.86902e9i | −0.642695 | − | 3.64490i | ||||
\(309\) | 9.63672e7 | − | 7.57210e8i | 0.185812 | − | 1.46003i | ||||
\(310\) | −7.74961e8 | + | 2.82063e8i | −1.47745 | + | 0.537749i | ||||
\(311\) | 2.59909e8 | − | 9.45992e7i | 0.489960 | − | 0.178331i | −0.0852131 | − | 0.996363i | \(-0.527157\pi\) |
0.575173 | + | 0.818032i | \(0.304935\pi\) | |||||||
\(312\) | 5.41790e8 | + | 4.12029e8i | 1.00993 | + | 0.768044i | ||||
\(313\) | 4.49129e7 | + | 2.54714e8i | 0.0827877 | + | 0.469513i | 0.997812 | + | 0.0661139i | \(0.0210601\pi\) |
−0.915024 | + | 0.403399i | \(0.867829\pi\) | |||||||
\(314\) | 1.27789e8 | − | 2.21337e8i | 0.232937 | − | 0.403459i | ||||
\(315\) | 2.86013e8 | + | 4.01059e8i | 0.515583 | + | 0.722971i | ||||
\(316\) | 9.87817e7 | + | 1.71095e8i | 0.176105 | + | 0.305023i | ||||
\(317\) | −5.93746e8 | + | 4.98212e8i | −1.04687 | + | 0.878429i | −0.992761 | − | 0.120106i | \(-0.961677\pi\) |
−0.0541103 | + | 0.998535i | \(0.517232\pi\) | |||||||
\(318\) | 4.06507e8 | + | 1.26246e8i | 0.708880 | + | 0.220151i | ||||
\(319\) | 1.04692e8 | − | 5.93739e8i | 0.180571 | − | 1.02407i | ||||
\(320\) | 5.71733e8 | + | 4.79741e8i | 0.975368 | + | 0.818431i | ||||
\(321\) | 2.99016e8 | − | 1.43480e7i | 0.504577 | − | 0.0242117i | ||||
\(322\) | 1.15443e9 | + | 4.20177e8i | 1.92695 | + | 0.701352i | ||||
\(323\) | −3.89503e8 | −0.643134 | ||||||||
\(324\) | 1.38363e9 | + | 7.67313e8i | 2.26001 | + | 1.25333i | ||||
\(325\) | −1.82790e8 | −0.295366 | ||||||||
\(326\) | −1.99587e8 | − | 7.26437e7i | −0.319059 | − | 0.116128i | ||||
\(327\) | −2.08098e8 | + | 9.98537e6i | −0.329117 | + | 0.0157924i | ||||
\(328\) | −2.50219e8 | − | 2.09959e8i | −0.391528 | − | 0.328531i | ||||
\(329\) | 1.67815e8 | − | 9.51726e8i | 0.259803 | − | 1.47342i | ||||
\(330\) | −5.74468e8 | − | 1.78408e8i | −0.879968 | − | 0.273285i | ||||
\(331\) | 1.26526e8 | − | 1.06168e8i | 0.191771 | − | 0.160915i | −0.541847 | − | 0.840477i | \(-0.682275\pi\) |
0.733618 | + | 0.679562i | \(0.237830\pi\) | |||||||
\(332\) | 6.00397e7 | + | 1.03992e8i | 0.0900441 | + | 0.155961i | ||||
\(333\) | −3.96107e8 | + | 8.68950e8i | −0.587838 | + | 1.28956i | ||||
\(334\) | −4.25765e8 | + | 7.37446e8i | −0.625255 | + | 1.08297i | ||||
\(335\) | 6.14108e7 | + | 3.48278e8i | 0.0892459 | + | 0.506139i | ||||
\(336\) | −2.76825e9 | − | 2.10524e9i | −3.98124 | − | 3.02771i | ||||
\(337\) | −7.41785e8 | + | 2.69988e8i | −1.05578 | + | 0.384272i | −0.810841 | − | 0.585266i | \(-0.800990\pi\) |
−0.244938 | + | 0.969539i | \(0.578768\pi\) | |||||||
\(338\) | 1.03697e9 | − | 3.77427e8i | 1.46069 | − | 0.531649i | ||||
\(339\) | 5.88085e7 | − | 4.62091e8i | 0.0819863 | − | 0.644212i | ||||
\(340\) | 1.06963e8 | + | 6.06618e8i | 0.147590 | + | 0.837026i | ||||
\(341\) | −4.90375e8 | + | 8.49354e8i | −0.669712 | + | 1.15997i | ||||
\(342\) | −4.01906e8 | − | 1.44978e9i | −0.543292 | − | 1.95980i | ||||
\(343\) | 3.70281e8 | + | 6.41345e8i | 0.495452 | + | 0.858148i | ||||
\(344\) | −1.54457e9 | + | 1.29604e9i | −2.04575 | + | 1.71658i | ||||
\(345\) | 2.06168e8 | − | 1.90561e8i | 0.270306 | − | 0.249843i | ||||
\(346\) | 3.42526e8 | − | 1.94256e9i | 0.444557 | − | 2.52121i | ||||
\(347\) | 1.17238e9 | + | 9.83747e8i | 1.50632 | + | 1.26395i | 0.870559 | + | 0.492064i | \(0.163757\pi\) |
0.635760 | + | 0.771887i | \(0.280687\pi\) | |||||||
\(348\) | −1.28992e9 | − | 2.00562e9i | −1.64072 | − | 2.55106i | ||||
\(349\) | 2.69213e8 | + | 9.79855e7i | 0.339006 | + | 0.123388i | 0.505913 | − | 0.862585i | \(-0.331156\pi\) |
−0.166907 | + | 0.985973i | \(0.553378\pi\) | |||||||
\(350\) | 1.71400e9 | 2.13684 | ||||||||
\(351\) | −3.01919e8 | + | 1.62170e8i | −0.372663 | + | 0.200168i | ||||
\(352\) | 2.07245e9 | 2.53271 | ||||||||
\(353\) | −4.00689e8 | − | 1.45839e8i | −0.484837 | − | 0.176466i | 0.0880249 | − | 0.996118i | \(-0.471945\pi\) |
−0.572862 | + | 0.819652i | \(0.694167\pi\) | |||||||
\(354\) | −4.78642e8 | + | 9.29228e8i | −0.573455 | + | 1.11330i | ||||
\(355\) | 3.91573e8 | + | 3.28568e8i | 0.464529 | + | 0.389786i | ||||
\(356\) | 3.17826e8 | − | 1.80248e9i | 0.373349 | − | 2.11737i | ||||
\(357\) | −1.83580e8 | − | 8.11492e8i | −0.213543 | − | 0.943942i | ||||
\(358\) | −1.11507e9 | + | 9.35653e8i | −1.28443 | + | 1.07777i | ||||
\(359\) | −3.07774e8 | − | 5.33080e8i | −0.351076 | − | 0.608081i | 0.635362 | − | 0.772214i | \(-0.280851\pi\) |
−0.986438 | + | 0.164133i | \(0.947517\pi\) | |||||||
\(360\) | −1.31654e9 | + | 6.27799e8i | −1.48722 | + | 0.709188i | ||||
\(361\) | −6.87926e7 | + | 1.19152e8i | −0.0769603 | + | 0.133299i | ||||
\(362\) | 3.51441e7 | + | 1.99312e8i | 0.0389378 | + | 0.220827i | ||||
\(363\) | 1.80724e8 | − | 7.57732e7i | 0.198309 | − | 0.0831462i | ||||
\(364\) | 1.52795e9 | − | 5.56129e8i | 1.66056 | − | 0.604394i | ||||
\(365\) | −2.79237e7 | + | 1.01634e7i | −0.0300571 | + | 0.0109399i | ||||
\(366\) | −1.63236e9 | + | 6.84412e8i | −1.74034 | + | 0.729682i | ||||
\(367\) | −1.02479e8 | − | 5.81190e8i | −0.108219 | − | 0.613743i | −0.989885 | − | 0.141869i | \(-0.954689\pi\) |
0.881666 | − | 0.471874i | \(-0.156422\pi\) | |||||||
\(368\) | −9.91065e8 | + | 1.71657e9i | −1.03666 | + | 1.79554i | ||||
\(369\) | 1.48449e8 | − | 7.07886e7i | 0.153810 | − | 0.0733451i | ||||
\(370\) | −7.18039e8 | − | 1.24368e9i | −0.736957 | − | 1.27645i | ||||
\(371\) | 4.77528e8 | − | 4.00693e8i | 0.485501 | − | 0.407383i | ||||
\(372\) | 8.55923e8 | + | 3.78350e9i | 0.862054 | + | 3.81060i | ||||
\(373\) | −4.47420e7 | + | 2.53744e8i | −0.0446410 | + | 0.253172i | −0.998959 | − | 0.0456218i | \(-0.985473\pi\) |
0.954318 | + | 0.298794i | \(0.0965842\pi\) | |||||||
\(374\) | 7.78296e8 | + | 6.53068e8i | 0.769297 | + | 0.645517i | ||||
\(375\) | 4.36244e8 | − | 8.46917e8i | 0.427189 | − | 0.829338i | ||||
\(376\) | 2.68894e9 | + | 9.78693e8i | 2.60869 | + | 0.949487i | ||||
\(377\) | 5.16542e8 | 0.496491 | ||||||||
\(378\) | 2.83106e9 | − | 1.52064e9i | 2.69605 | − | 1.44812i | ||||
\(379\) | 4.63730e8 | 0.437550 | 0.218775 | − | 0.975775i | \(-0.429794\pi\) | ||||
0.218775 | + | 0.975775i | \(0.429794\pi\) | |||||||
\(380\) | 1.53282e9 | + | 5.57900e8i | 1.43300 | + | 0.521571i | ||||
\(381\) | −6.52023e8 | − | 1.01379e9i | −0.603985 | − | 0.939101i | ||||
\(382\) | −1.89774e9 | − | 1.59239e9i | −1.74187 | − | 1.46160i | ||||
\(383\) | −1.22375e8 | + | 6.94021e8i | −0.111300 | + | 0.631215i | 0.877216 | + | 0.480097i | \(0.159398\pi\) |
−0.988516 | + | 0.151118i | \(0.951713\pi\) | |||||||
\(384\) | 1.24628e9 | − | 1.15193e9i | 1.12320 | − | 1.03817i | ||||
\(385\) | −6.74833e8 | + | 5.66252e8i | −0.602676 | + | 0.505705i | ||||
\(386\) | −3.74764e8 | − | 6.49111e8i | −0.331667 | − | 0.574465i | ||||
\(387\) | −2.71205e8 | − | 9.78309e8i | −0.237854 | − | 0.858001i | ||||
\(388\) | −2.75302e8 | + | 4.76837e8i | −0.239276 | + | 0.414438i | ||||
\(389\) | −6.68602e7 | − | 3.79183e8i | −0.0575896 | − | 0.326607i | 0.942379 | − | 0.334548i | \(-0.108584\pi\) |
−0.999968 | + | 0.00794063i | \(0.997472\pi\) | |||||||
\(390\) | 6.50646e7 | − | 5.11249e8i | 0.0555417 | − | 0.436421i | ||||
\(391\) | −4.45587e8 | + | 1.62180e8i | −0.376976 | + | 0.137208i | ||||
\(392\) | −5.42193e9 | + | 1.97342e9i | −4.54625 | + | 1.65470i | ||||
\(393\) | 1.26160e9 | + | 9.59444e8i | 1.04845 | + | 0.797344i | ||||
\(394\) | −6.60620e8 | − | 3.74656e9i | −0.544146 | − | 3.08600i | ||||
\(395\) | 4.58518e7 | − | 7.94177e7i | 0.0374341 | − | 0.0648377i | ||||
\(396\) | −1.17360e9 | + | 2.57455e9i | −0.949698 | + | 2.08338i | ||||
\(397\) | 3.45992e8 | + | 5.99276e8i | 0.277523 | + | 0.480684i | 0.970769 | − | 0.240017i | \(-0.0771531\pi\) |
−0.693245 | + | 0.720702i | \(0.743820\pi\) | |||||||
\(398\) | 2.11488e9 | − | 1.77460e9i | 1.68150 | − | 1.41094i | ||||
\(399\) | −2.10411e9 | − | 6.53458e8i | −1.65830 | − | 0.515006i | ||||
\(400\) | −4.80211e8 | + | 2.72341e9i | −0.375165 | + | 2.12767i | ||||
\(401\) | −1.41296e9 | − | 1.18561e9i | −1.09427 | − | 0.918199i | −0.0972402 | − | 0.995261i | \(-0.531002\pi\) |
−0.997026 | + | 0.0770623i | \(0.975446\pi\) | |||||||
\(402\) | 2.30450e9 | − | 1.10579e8i | 1.76923 | − | 0.0848950i | ||||
\(403\) | −7.89597e8 | − | 2.87390e8i | −0.600949 | − | 0.218728i | ||||
\(404\) | −5.27876e9 | −3.98288 | ||||||||
\(405\) | −1.26722e7 | − | 7.34281e8i | −0.00947896 | − | 0.549250i | ||||
\(406\) | −4.84355e9 | −3.59188 | ||||||||
\(407\) | −1.60483e9 | − | 5.84109e8i | −1.17991 | − | 0.429451i | ||||
\(408\) | 2.46069e9 | − | 1.18074e8i | 1.79369 | − | 0.0860684i | ||||
\(409\) | 1.87886e9 | + | 1.57655e9i | 1.35789 | + | 1.13940i | 0.976629 | + | 0.214932i | \(0.0689530\pi\) |
0.381256 | + | 0.924469i | \(0.375491\pi\) | |||||||
\(410\) | −4.29463e7 | + | 2.43560e8i | −0.0307739 | + | 0.174527i | ||||
\(411\) | 2.28125e8 | + | 7.08469e7i | 0.162079 | + | 0.0503355i | ||||
\(412\) | 4.13603e9 | − | 3.47055e9i | 2.91369 | − | 2.44488i | ||||
\(413\) | 7.65378e8 | + | 1.32567e9i | 0.534627 | + | 0.926001i | ||||
\(414\) | −1.06343e9 | − | 1.49119e9i | −0.736561 | − | 1.03284i | ||||
\(415\) | 2.78688e7 | − | 4.82702e7i | 0.0191404 | − | 0.0331521i | ||||
\(416\) | 3.08330e8 | + | 1.74863e9i | 0.209986 | + | 1.19089i | ||||
\(417\) | 1.35705e9 | + | 1.03203e9i | 0.916474 | + | 0.696974i | ||||
\(418\) | 2.52823e9 | − | 9.20201e8i | 1.69317 | − | 0.616263i | ||||
\(419\) | 6.22164e8 | − | 2.26449e8i | 0.413196 | − | 0.150391i | −0.127054 | − | 0.991896i | \(-0.540552\pi\) |
0.540249 | + | 0.841505i | \(0.318330\pi\) | |||||||
\(420\) | −4.39886e8 | + | 3.45643e9i | −0.289713 | + | 2.27643i | ||||
\(421\) | −1.57618e8 | − | 8.93894e8i | −0.102948 | − | 0.583846i | −0.992020 | − | 0.126080i | \(-0.959761\pi\) |
0.889072 | − | 0.457767i | \(-0.151351\pi\) | |||||||
\(422\) | 1.92832e9 | − | 3.33994e9i | 1.24906 | − | 2.16344i | ||||
\(423\) | −1.00995e9 | + | 1.02753e9i | −0.648799 | + | 0.660093i | ||||
\(424\) | 9.22888e8 | + | 1.59849e9i | 0.587988 | + | 1.01842i | ||||
\(425\) | −5.06793e8 | + | 4.25250e8i | −0.320235 | + | 0.268709i | ||||
\(426\) | 2.44887e9 | − | 2.26349e9i | 1.53473 | − | 1.41855i | ||||
\(427\) | −4.50127e8 | + | 2.55280e9i | −0.279794 | + | 1.58679i | ||||
\(428\) | 1.62208e9 | + | 1.36109e9i | 1.00005 | + | 0.839138i | ||||
\(429\) | −3.31535e8 | − | 5.15484e8i | −0.202735 | − | 0.315221i | ||||
\(430\) | 1.43459e9 | + | 5.22146e8i | 0.870135 | + | 0.316703i | ||||
\(431\) | 2.66454e9 | 1.60307 | 0.801533 | − | 0.597950i | \(-0.204018\pi\) | ||||
0.801533 | + | 0.597950i | \(0.204018\pi\) | |||||||
\(432\) | 1.62301e9 | + | 4.92437e9i | 0.968562 | + | 2.93872i | ||||
\(433\) | 1.22014e8 | 0.0722271 | 0.0361136 | − | 0.999348i | \(-0.488502\pi\) | ||||
0.0361136 | + | 0.999348i | \(0.488502\pi\) | |||||||
\(434\) | 7.40394e9 | + | 2.69481e9i | 4.34759 | + | 1.58239i | ||||
\(435\) | −5.06858e8 | + | 9.84006e8i | −0.295239 | + | 0.573172i | ||||
\(436\) | −1.12887e9 | − | 9.47237e8i | −0.652293 | − | 0.547338i | ||||
\(437\) | −2.18051e8 | + | 1.23663e9i | −0.124989 | + | 0.708848i | ||||
\(438\) | 4.27750e7 | + | 1.89082e8i | 0.0243238 | + | 0.107520i | ||||
\(439\) | −1.33776e9 | + | 1.12251e9i | −0.754660 | + | 0.633235i | −0.936731 | − | 0.350050i | \(-0.886164\pi\) |
0.182071 | + | 0.983285i | \(0.441720\pi\) | |||||||
\(440\) | −1.30421e9 | − | 2.25895e9i | −0.729898 | − | 1.26422i | ||||
\(441\) | 2.28221e8 | − | 2.89618e9i | 0.126713 | − | 1.60802i | ||||
\(442\) | −4.35233e8 | + | 7.53846e8i | −0.239742 | + | 0.415245i | ||||
\(443\) | 3.76151e8 | + | 2.13326e9i | 0.205565 | + | 1.16582i | 0.896548 | + | 0.442947i | \(0.146067\pi\) |
−0.690983 | + | 0.722871i | \(0.742822\pi\) | |||||||
\(444\) | −6.22947e9 | + | 2.61187e9i | −3.37762 | + | 1.41616i | ||||
\(445\) | −7.98336e8 | + | 2.90571e8i | −0.429463 | + | 0.156312i | ||||
\(446\) | −4.96024e9 | + | 1.80538e9i | −2.64747 | + | 0.963600i | ||||
\(447\) | 1.27880e9 | − | 5.36170e8i | 0.677213 | − | 0.283940i | ||||
\(448\) | −1.23821e9 | − | 7.02222e9i | −0.650609 | − | 3.68979i | ||||
\(449\) | −2.64481e8 | + | 4.58094e8i | −0.137890 | + | 0.238832i | −0.926698 | − | 0.375808i | \(-0.877365\pi\) |
0.788808 | + | 0.614640i | \(0.210699\pi\) | |||||||
\(450\) | −2.10577e9 | − | 1.44756e9i | −1.08935 | − | 0.748846i | ||||
\(451\) | 1.47058e8 | + | 2.54712e8i | 0.0754869 | + | 0.130747i | ||||
\(452\) | 2.52403e9 | − | 2.11792e9i | 1.28561 | − | 1.07876i | ||||
\(453\) | −3.40358e8 | − | 1.50451e9i | −0.172026 | − | 0.760417i | ||||
\(454\) | −2.78428e8 | + | 1.57904e9i | −0.139642 | + | 0.791950i | ||||
\(455\) | −5.78173e8 | − | 4.85145e8i | −0.287752 | − | 0.241452i | ||||
\(456\) | 2.98734e9 | − | 5.79958e9i | 1.47539 | − | 2.86431i | ||||
\(457\) | 9.65658e8 | + | 3.51471e8i | 0.473278 | + | 0.172259i | 0.567637 | − | 0.823279i | \(-0.307858\pi\) |
−0.0943584 | + | 0.995538i | \(0.530080\pi\) | |||||||
\(458\) | −6.43473e9 | −3.12969 | ||||||||
\(459\) | −4.59806e8 | + | 1.15202e9i | −0.221937 | + | 0.556051i | ||||
\(460\) | 1.98582e9 | 0.951235 | ||||||||
\(461\) | 2.20000e9 | + | 8.00735e8i | 1.04585 | + | 0.380658i | 0.807095 | − | 0.590421i | \(-0.201038\pi\) |
0.238755 | + | 0.971080i | \(0.423261\pi\) | |||||||
\(462\) | 3.10876e9 | + | 4.83362e9i | 1.46669 | + | 2.28048i | ||||
\(463\) | −2.79237e9 | − | 2.34307e9i | −1.30749 | − | 1.09712i | −0.988798 | − | 0.149258i | \(-0.952311\pi\) |
−0.318694 | − | 0.947858i | \(-0.603244\pi\) | |||||||
\(464\) | 1.35702e9 | − | 7.69603e9i | 0.630627 | − | 3.57646i | ||||
\(465\) | 1.32227e9 | − | 1.22217e9i | 0.609865 | − | 0.563698i | ||||
\(466\) | −5.43400e9 | + | 4.55967e9i | −2.48753 | + | 2.08729i | ||||
\(467\) | 1.67559e9 | + | 2.90221e9i | 0.761305 | + | 1.31862i | 0.942178 | + | 0.335113i | \(0.108774\pi\) |
−0.180873 | + | 0.983507i | \(0.557892\pi\) | |||||||
\(468\) | −2.34687e9 | − | 6.07190e8i | −1.05835 | − | 0.273819i | ||||
\(469\) | 1.68938e9 | − | 2.92610e9i | 0.756177 | − | 1.30974i | ||||
\(470\) | −3.76230e8 | − | 2.13370e9i | −0.167152 | − | 0.947964i | ||||
\(471\) | −7.04474e7 | + | 5.53544e8i | −0.0310665 | + | 0.244106i | ||||
\(472\) | −4.25918e9 | + | 1.55021e9i | −1.86436 | + | 0.678570i | ||||
\(473\) | 1.70605e9 | − | 6.20950e8i | 0.741270 | − | 0.269800i | ||||
\(474\) | −4.76195e8 | − | 3.62144e8i | −0.205381 | − | 0.156192i | ||||
\(475\) | 3.04220e8 | + | 1.72532e9i | 0.130245 | + | 0.738654i | ||||
\(476\) | 2.94250e9 | − | 5.09657e9i | 1.25053 | − | 2.16598i | ||||
\(477\) | −9.25082e8 | + | 8.89833e7i | −0.390271 | + | 0.0375400i | ||||
\(478\) | 1.07436e9 | + | 1.86084e9i | 0.449936 | + | 0.779312i | ||||
\(479\) | −1.61103e8 | + | 1.35181e8i | −0.0669774 | + | 0.0562007i | −0.675662 | − | 0.737212i | \(-0.736142\pi\) |
0.608684 | + | 0.793412i | \(0.291698\pi\) | |||||||
\(480\) | −3.63366e9 | − | 1.12848e9i | −1.49969 | − | 0.465746i | ||||
\(481\) | 2.54082e8 | − | 1.44097e9i | 0.104104 | − | 0.590402i | ||||
\(482\) | 1.47040e9 | + | 1.23381e9i | 0.598095 | + | 0.501861i | ||||
\(483\) | −2.67916e9 | + | 1.28557e8i | −1.08189 | + | 0.0519136i | ||||
\(484\) | 1.30254e9 | + | 4.74086e8i | 0.522194 | + | 0.190063i | ||||
\(485\) | 2.55576e8 | 0.101724 | ||||||||
\(486\) | −4.76241e9 | − | 5.22756e8i | −1.88192 | − | 0.206572i | ||||
\(487\) | 1.69417e8 | 0.0664671 | 0.0332335 | − | 0.999448i | \(-0.489419\pi\) | ||||
0.0332335 | + | 0.999448i | \(0.489419\pi\) | |||||||
\(488\) | −7.21249e9 | − | 2.62513e9i | −2.80941 | − | 1.02254i | ||||
\(489\) | 4.63197e8 | − | 2.22261e7i | 0.179137 | − | 0.00859571i | ||||
\(490\) | 3.34665e9 | + | 2.80817e9i | 1.28506 | + | 1.07830i | ||||
\(491\) | 8.42914e8 | − | 4.78041e9i | 0.321365 | − | 1.82255i | −0.212713 | − | 0.977115i | \(-0.568230\pi\) |
0.534078 | − | 0.845436i | \(-0.320659\pi\) | |||||||
\(492\) | 1.11096e9 | + | 3.45023e8i | 0.420554 | + | 0.130608i | ||||
\(493\) | 1.43213e9 | − | 1.20170e9i | 0.538294 | − | 0.451682i | ||||
\(494\) | 1.15256e9 | + | 1.99629e9i | 0.430148 | + | 0.745039i | ||||
\(495\) | 1.30731e9 | − | 1.25750e8i | 0.484462 | − | 0.0466003i | ||||
\(496\) | −6.35622e9 | + | 1.10093e10i | −2.33891 | + | 4.05111i | ||||
\(497\) | −8.48031e8 | − | 4.80942e9i | −0.309859 | − | 1.75730i | ||||
\(498\) | −2.89433e8 | − | 2.20112e8i | −0.105013 | − | 0.0798622i | ||||
\(499\) | −2.44046e9 | + | 8.88253e8i | −0.879264 | + | 0.320026i | −0.741913 | − | 0.670497i | \(-0.766081\pi\) |
−0.137351 | + | 0.990522i | \(0.543859\pi\) | |||||||
\(500\) | 6.33217e9 | − | 2.30472e9i | 2.26547 | − | 0.824562i | ||||
\(501\) | 2.34716e8 | − | 1.84429e9i | 0.0833893 | − | 0.655235i | ||||
\(502\) | 8.20869e8 | + | 4.65538e9i | 0.289608 | + | 1.64245i | ||||
\(503\) | −9.78179e8 | + | 1.69425e9i | −0.342713 | + | 0.593596i | −0.984935 | − | 0.172922i | \(-0.944679\pi\) |
0.642223 | + | 0.766518i | \(0.278012\pi\) | |||||||
\(504\) | 1.34909e10 | + | 3.49039e9i | 4.69389 | + | 1.21442i | ||||
\(505\) | 1.22513e9 | + | 2.12199e9i | 0.423314 | + | 0.733202i | ||||
\(506\) | 2.50912e9 | − | 2.10540e9i | 0.860982 | − | 0.722450i | ||||
\(507\) | −1.76932e9 | + | 1.63538e9i | −0.602947 | + | 0.557303i | ||||
\(508\) | 1.48052e9 | − | 8.39646e9i | 0.501062 | − | 2.84167i | ||||
\(509\) | −2.96935e9 | − | 2.49158e9i | −0.998043 | − | 0.837458i | −0.0113310 | − | 0.999936i | \(-0.503607\pi\) |
−0.986712 | + | 0.162478i | \(0.948051\pi\) | |||||||
\(510\) | −1.00899e9 | − | 1.56883e9i | −0.336816 | − | 0.523696i | ||||
\(511\) | 2.66782e8 | + | 9.71006e7i | 0.0884469 | + | 0.0321920i | ||||
\(512\) | −1.32258e9 | −0.435489 | ||||||||
\(513\) | 2.03317e9 | + | 2.57985e9i | 0.664910 | + | 0.843691i | ||||
\(514\) | −2.86372e9 | −0.930165 | ||||||||
\(515\) | −2.35503e9 | − | 8.57161e8i | −0.759751 | − | 0.276527i | ||||
\(516\) | 3.28826e9 | − | 6.38378e9i | 1.05364 | − | 2.04552i | ||||
\(517\) | −1.97379e9 | − | 1.65621e9i | −0.628180 | − | 0.527106i | ||||
\(518\) | −2.38249e9 | + | 1.35118e10i | −0.753143 | + | 4.27129i | ||||
\(519\) | 9.50266e8 | + | 4.20053e9i | 0.298373 | + | 1.31892i | ||||
\(520\) | 1.71195e9 | − | 1.43650e9i | 0.533925 | − | 0.448016i | ||||
\(521\) | 5.30177e8 | + | 9.18293e8i | 0.164244 | + | 0.284478i | 0.936386 | − | 0.350971i | \(-0.114148\pi\) |
−0.772143 | + | 0.635449i | \(0.780815\pi\) | |||||||
\(522\) | 5.95064e9 | + | 4.09062e9i | 1.83112 | + | 1.25876i | ||||
\(523\) | 1.53786e9 | − | 2.66366e9i | 0.470069 | − | 0.814183i | −0.529345 | − | 0.848406i | \(-0.677562\pi\) |
0.999414 | + | 0.0342234i | \(0.0108958\pi\) | |||||||
\(524\) | 1.94679e9 | + | 1.10408e10i | 0.591100 | + | 3.35229i | ||||
\(525\) | −3.45115e9 | + | 1.44699e9i | −1.04089 | + | 0.436422i | ||||
\(526\) | 4.18067e9 | − | 1.52164e9i | 1.25255 | − | 0.455891i | ||||
\(527\) | −2.85778e9 | + | 1.04015e9i | −0.850535 | + | 0.309569i | ||||
\(528\) | −8.55124e9 | + | 3.58534e9i | −2.52820 | + | 1.06001i | ||||
\(529\) | −3.25785e8 | − | 1.84762e9i | −0.0956835 | − | 0.542648i | ||||
\(530\) | 6.98774e8 | − | 1.21031e9i | 0.203879 | − | 0.353128i | ||||
\(531\) | 1.79278e8 | − | 2.27508e9i | 0.0519634 | − | 0.659427i | ||||
\(532\) | −7.79216e9 | − | 1.34964e10i | −2.24371 | − | 3.88622i | ||||
\(533\) | −1.93034e8 | + | 1.61975e8i | −0.0552191 | + | 0.0463344i | ||||
\(534\) | 1.22294e9 | + | 5.40583e9i | 0.347543 | + | 1.53627i | ||||
\(535\) | 1.70675e8 | − | 9.67946e8i | 0.0481872 | − | 0.273283i | ||||
\(536\) | 7.66384e9 | + | 6.43073e9i | 2.14966 | + | 1.80378i | ||||
\(537\) | 1.45530e9 | − | 2.82530e9i | 0.405549 | − | 0.787327i | ||||
\(538\) | 5.12960e9 | + | 1.86702e9i | 1.42019 | + | 0.516906i | ||||
\(539\) | 5.19542e9 | 1.42909 | ||||||||
\(540\) | 3.45956e9 | − | 3.87496e9i | 0.945459 | − | 1.05898i | ||||
\(541\) | 1.67953e9 | 0.456033 | 0.228017 | − | 0.973657i | \(-0.426776\pi\) | ||||
0.228017 | + | 0.973657i | \(0.426776\pi\) | |||||||
\(542\) | −4.19516e9 | − | 1.52691e9i | −1.13175 | − | 0.411924i | ||||
\(543\) | −2.39025e8 | − | 3.71646e8i | −0.0640685 | − | 0.0996164i | ||||
\(544\) | 4.92293e9 | + | 4.13083e9i | 1.31108 | + | 1.10012i | ||||
\(545\) | −1.18780e8 | + | 6.73633e8i | −0.0314307 | + | 0.178252i | ||||
\(546\) | −3.61586e9 | + | 3.34213e9i | −0.950685 | + | 0.878718i | ||||
\(547\) | 7.99746e8 | − | 6.71067e8i | 0.208928 | − | 0.175311i | −0.532319 | − | 0.846544i | \(-0.678679\pi\) |
0.741247 | + | 0.671233i | \(0.234235\pi\) | |||||||
\(548\) | 8.44815e8 | + | 1.46326e9i | 0.219295 | + | 0.379831i | ||||
\(549\) | 2.70898e9 | − | 2.75614e9i | 0.698720 | − | 0.710882i | ||||
\(550\) | 2.28490e9 | − | 3.95756e9i | 0.585596 | − | 1.01428i | ||||
\(551\) | −8.59687e8 | − | 4.87553e9i | −0.218932 | − | 1.24163i | ||||
\(552\) | 1.00267e9 | − | 7.87851e9i | 0.253729 | − | 1.99369i | ||||
\(553\) | −8.23296e8 | + | 2.99655e8i | −0.207023 | + | 0.0753501i | ||||
\(554\) | −7.90878e9 | + | 2.87856e9i | −1.97617 | + | 0.719268i | ||||
\(555\) | 2.49571e9 | + | 1.89798e9i | 0.619682 | + | 0.471266i | ||||
\(556\) | 2.09408e9 | + | 1.18761e10i | 0.516692 | + | 2.93030i | ||||
\(557\) | −2.83704e7 | + | 4.91391e7i | −0.00695621 | + | 0.0120485i | −0.869483 | − | 0.493964i | \(-0.835548\pi\) |
0.862526 | + | 0.506012i | \(0.168881\pi\) | |||||||
\(558\) | −6.82036e9 | − | 9.56378e9i | −1.66183 | − | 2.33029i | ||||
\(559\) | 7.77743e8 | + | 1.34709e9i | 0.188319 | + | 0.326179i | ||||
\(560\) | −8.74716e9 | + | 7.33974e9i | −2.10479 | + | 1.76613i | ||||
\(561\) | −2.11843e9 | − | 6.57906e8i | −0.506576 | − | 0.157324i | ||||
\(562\) | 1.99467e9 | − | 1.13123e10i | 0.474017 | − | 2.68829i | ||||
\(563\) | 1.90973e8 | + | 1.60245e8i | 0.0451016 | + | 0.0378447i | 0.665060 | − | 0.746790i | \(-0.268406\pi\) |
−0.619958 | + | 0.784635i | \(0.712850\pi\) | |||||||
\(564\) | −1.01794e10 | + | 4.88449e8i | −2.38916 | + | 0.114642i | ||||
\(565\) | −1.43717e9 | − | 5.23086e8i | −0.335226 | − | 0.122012i | ||||
\(566\) | −2.46929e9 | −0.572421 | ||||||||
\(567\) | −4.41660e9 | + | 5.45185e9i | −1.01753 | + | 1.25604i | ||||
\(568\) | 1.44603e10 | 3.31098 | ||||||||
\(569\) | −5.22920e9 | − | 1.90327e9i | −1.18999 | − | 0.433120i | −0.330268 | − | 0.943887i | \(-0.607139\pi\) |
−0.859719 | + | 0.510767i | \(0.829361\pi\) | |||||||
\(570\) | −4.93385e9 | + | 2.36746e8i | −1.11590 | + | 0.0535453i | ||||
\(571\) | −6.28388e9 | − | 5.27280e9i | −1.41254 | − | 1.18526i | −0.955196 | − | 0.295975i | \(-0.904356\pi\) |
−0.457346 | − | 0.889289i | \(-0.651200\pi\) | |||||||
\(572\) | 7.52802e8 | − | 4.26935e9i | 0.168188 | − | 0.953840i | ||||
\(573\) | 5.16543e9 | + | 1.60419e9i | 1.14701 | + | 0.356217i | ||||
\(574\) | 1.81006e9 | − | 1.51882e9i | 0.399485 | − | 0.335208i | ||||
\(575\) | 1.06641e9 | + | 1.84707e9i | 0.233930 | + | 0.405178i | ||||
\(576\) | −4.40940e9 | + | 9.67302e9i | −0.961392 | + | 2.10903i | ||||
\(577\) | 2.54978e9 | − | 4.41636e9i | 0.552571 | − | 0.957081i | −0.445517 | − | 0.895273i | \(-0.646980\pi\) |
0.998088 | − | 0.0618076i | \(-0.0196865\pi\) | |||||||
\(578\) | −9.79151e8 | − | 5.55304e9i | −0.210912 | − | 1.19614i | ||||
\(579\) | 1.30258e9 | + | 9.90607e8i | 0.278888 | + | 0.212093i | ||||
\(580\) | −7.35714e9 | + | 2.67778e9i | −1.56571 | + | 0.569872i | ||||
\(581\) | −5.00401e8 | + | 1.82131e8i | −0.105853 | + | 0.0385272i | ||||
\(582\) | 2.10496e8 | − | 1.65399e9i | 0.0442603 | − | 0.347777i | ||||
\(583\) | −2.88603e8 | − | 1.63675e9i | −0.0603200 | − | 0.342092i | ||||
\(584\) | −4.20315e8 | + | 7.28006e8i | −0.0873232 | + | 0.151248i | ||||
\(585\) | 3.00597e8 | + | 1.08433e9i | 0.0620781 | + | 0.223932i | ||||
\(586\) | 5.38651e9 | + | 9.32970e9i | 1.10577 | + | 1.91525i | ||||
\(587\) | −2.09533e9 | + | 1.75819e9i | −0.427581 | + | 0.358783i | −0.831038 | − | 0.556216i | \(-0.812253\pi\) |
0.403457 | + | 0.914999i | \(0.367808\pi\) | |||||||
\(588\) | 1.50904e10 | − | 1.39481e10i | 3.06112 | − | 2.82939i | ||||
\(589\) | −1.39847e9 | + | 7.93114e9i | −0.282001 | + | 1.59931i | ||||
\(590\) | 2.62895e9 | + | 2.20595e9i | 0.526987 | + | 0.442195i | ||||
\(591\) | 4.49308e9 | + | 6.98602e9i | 0.895339 | + | 1.39211i | ||||
\(592\) | −2.08017e10 | − | 7.57120e9i | −4.12072 | − | 1.49982i | ||||
\(593\) | 7.40184e8 | 0.145763 | 0.0728816 | − | 0.997341i | \(-0.476780\pi\) | ||||
0.0728816 | + | 0.997341i | \(0.476780\pi\) | |||||||
\(594\) | 2.62919e8 | − | 8.56395e9i | 0.0514718 | − | 1.67657i | ||||
\(595\) | −2.73167e9 | −0.531641 | ||||||||
\(596\) | 9.21675e9 | + | 3.35462e9i | 1.78327 | + | 0.649056i | ||||
\(597\) | −2.76019e9 | + | 5.35859e9i | −0.530919 | + | 1.03072i | ||||
\(598\) | 2.14972e9 | + | 1.80383e9i | 0.411082 | + | 0.344939i | ||||
\(599\) | −1.55540e8 | + | 8.82113e8i | −0.0295698 | + | 0.167699i | −0.996017 | − | 0.0891682i | \(-0.971579\pi\) |
0.966447 | + | 0.256867i | \(0.0826903\pi\) | |||||||
\(600\) | −2.44493e9 | − | 1.08075e10i | −0.462101 | − | 2.04266i | ||||
\(601\) | −1.76738e9 | + | 1.48301e9i | −0.332100 | + | 0.278665i | −0.793555 | − | 0.608499i | \(-0.791772\pi\) |
0.461455 | + | 0.887164i | \(0.347328\pi\) | |||||||
\(602\) | −7.29279e9 | − | 1.26315e10i | −1.36240 | − | 2.35975i | ||||
\(603\) | −4.54677e9 | + | 2.16815e9i | −0.844485 | + | 0.402697i | ||||
\(604\) | 5.45543e9 | − | 9.44908e9i | 1.00739 | − | 1.74486i | ||||
\(605\) | −1.11726e8 | − | 6.33632e8i | −0.0205122 | − | 0.116330i | ||||
\(606\) | 1.47417e10 | − | 6.18086e9i | 2.69088 | − | 1.12822i | ||||
\(607\) | 6.86069e9 | − | 2.49709e9i | 1.24511 | − | 0.453182i | 0.366362 | − | 0.930472i | \(-0.380603\pi\) |
0.878746 | + | 0.477290i | \(0.158381\pi\) | |||||||
\(608\) | 1.59918e10 | − | 5.82052e9i | 2.88558 | − | 1.05027i | ||||
\(609\) | 9.75251e9 | − | 4.08900e9i | 1.74967 | − | 0.733596i | ||||
\(610\) | 1.00915e9 | + | 5.72320e9i | 0.180013 | + | 1.02090i | ||||
\(611\) | 1.10377e9 | − | 1.91179e9i | 0.195765 | − | 0.339074i | ||||
\(612\) | −7.91939e9 | + | 3.77640e9i | −1.39657 | + | 0.665959i | ||||
\(613\) | 3.89545e9 | + | 6.74712e9i | 0.683040 | + | 1.18306i | 0.974049 | + | 0.226339i | \(0.0726758\pi\) |
−0.291009 | + | 0.956720i | \(0.593991\pi\) | |||||||
\(614\) | −1.07555e10 | + | 9.02492e9i | −1.87517 | + | 1.57345i | ||||
\(615\) | −1.19145e8 | − | 5.26666e8i | −0.0206544 | − | 0.0913004i | ||||
\(616\) | −4.32743e9 | + | 2.45421e10i | −0.745930 | + | 4.23038i | ||||
\(617\) | −6.68078e8 | − | 5.60584e8i | −0.114506 | − | 0.0960822i | 0.583737 | − | 0.811943i | \(-0.301590\pi\) |
−0.698243 | + | 0.715861i | \(0.746034\pi\) | |||||||
\(618\) | −7.48684e9 | + | 1.45348e10i | −1.27597 | + | 2.47714i | ||||
\(619\) | −7.96465e9 | − | 2.89890e9i | −1.34974 | − | 0.491265i | −0.436872 | − | 0.899524i | \(-0.643914\pi\) |
−0.912866 | + | 0.408259i | \(0.866136\pi\) | |||||||
\(620\) | 1.27361e10 | 2.14618 | ||||||||
\(621\) | 3.40012e9 | + | 2.10475e9i | 0.569735 | + | 0.352679i | ||||
\(622\) | −5.92436e9 | −0.987132 | ||||||||
\(623\) | 7.62727e9 | + | 2.77610e9i | 1.26375 | + | 0.459967i | ||||
\(624\) | −4.29734e9 | − | 6.68169e9i | −0.708033 | − | 1.10088i | ||||
\(625\) | 8.68563e8 | + | 7.28811e8i | 0.142305 | + | 0.119408i | ||||
\(626\) | 9.62004e8 | − | 5.45580e9i | 0.156735 | − | 0.888890i | ||||
\(627\) | −4.31376e9 | + | 3.98721e9i | −0.698908 | + | 0.646000i | ||||
\(628\) | −3.02357e9 | + | 2.53708e9i | −0.487148 | + | 0.408766i | ||||
\(629\) | −2.64788e9 | − | 4.58626e9i | −0.424249 | − | 0.734820i | ||||
\(630\) | −2.81865e9 | − | 1.01676e10i | −0.449107 | − | 1.62005i | ||||
\(631\) | 5.60535e9 | − | 9.70875e9i | 0.888178 | − | 1.53837i | 0.0461503 | − | 0.998935i | \(-0.485305\pi\) |
0.842027 | − | 0.539435i | \(-0.181362\pi\) | |||||||
\(632\) | −4.50479e8 | − | 2.55479e9i | −0.0709847 | − | 0.402574i | ||||
\(633\) | −1.06304e9 | + | 8.35291e9i | −0.166586 | + | 1.30896i | ||||
\(634\) | 1.56005e10 | − | 5.67812e9i | 2.43123 | − | 0.884895i | ||||
\(635\) | −3.71887e9 | + | 1.35356e9i | −0.576372 | + | 0.209782i | ||||
\(636\) | −5.23243e9 | − | 3.97924e9i | −0.806498 | − | 0.613338i | ||||
\(637\) | 7.72952e8 | + | 4.38363e9i | 0.118485 | + | 0.671964i | ||||
\(638\) | −6.45684e9 | + | 1.11836e10i | −0.984346 | + | 1.70494i | ||||
\(639\) | −3.01994e9 | + | 6.62492e9i | −0.457873 | + | 1.00445i | ||||
\(640\) | −2.78602e9 | − | 4.82553e9i | −0.420101 | − | 0.727637i | ||||
\(641\) | 8.04090e9 | − | 6.74712e9i | 1.20587 | − | 1.01185i | 0.206430 | − | 0.978461i | \(-0.433815\pi\) |
0.999443 | − | 0.0333862i | \(-0.0106291\pi\) | |||||||
\(642\) | −6.12359e9 | − | 1.90176e9i | −0.913342 | − | 0.283650i | ||||
\(643\) | −2.67605e8 | + | 1.51766e9i | −0.0396968 | + | 0.225132i | −0.998202 | − | 0.0599442i | \(-0.980908\pi\) |
0.958505 | + | 0.285076i | \(0.0920188\pi\) | |||||||
\(644\) | −1.45337e10 | − | 1.21953e10i | −2.14426 | − | 1.79925i | ||||
\(645\) | −3.32935e9 | + | 1.59756e8i | −0.488541 | + | 0.0234422i | ||||
\(646\) | 7.83975e9 | + | 2.85344e9i | 1.14416 | + | 0.416442i | ||||
\(647\) | 8.22546e9 | 1.19398 | 0.596988 | − | 0.802251i | \(-0.296364\pi\) | ||||
0.596988 | + | 0.802251i | \(0.296364\pi\) | |||||||
\(648\) | −1.36267e10 | − | 1.56819e10i | −1.96733 | − | 2.26405i | ||||
\(649\) | 4.08125e9 | 0.586052 | ||||||||
\(650\) | 3.67912e9 | + | 1.33909e9i | 0.525470 | + | 0.191255i | ||||
\(651\) | −1.71829e10 | + | 8.24505e8i | −2.44097 | + | 0.117128i | ||||
\(652\) | 2.51272e9 | + | 2.10842e9i | 0.355040 | + | 0.297914i | ||||
\(653\) | −1.41692e9 | + | 8.03573e9i | −0.199135 | + | 1.12935i | 0.707270 | + | 0.706943i | \(0.249926\pi\) |
−0.906406 | + | 0.422409i | \(0.861185\pi\) | |||||||
\(654\) | 4.26165e9 | + | 1.32351e9i | 0.595739 | + | 0.185014i | ||||
\(655\) | 3.98643e9 | − | 3.34501e9i | 0.554293 | − | 0.465107i | ||||
\(656\) | 1.90616e9 | + | 3.30157e9i | 0.263631 | + | 0.456623i | ||||
\(657\) | −2.45754e8 | − | 3.44606e8i | −0.0338081 | − | 0.0474071i | ||||
\(658\) | −1.03499e10 | + | 1.79266e10i | −1.41627 | + | 2.45305i | ||||
\(659\) | 1.20175e9 | + | 6.81545e9i | 0.163574 | + | 0.927675i | 0.950522 | + | 0.310656i | \(0.100549\pi\) |
−0.786948 | + | 0.617019i | \(0.788340\pi\) | |||||||
\(660\) | 7.39437e9 | + | 5.62338e9i | 1.00115 | + | 0.761367i | ||||
\(661\) | −1.32327e10 | + | 4.81632e9i | −1.78215 | + | 0.648650i | −0.782488 | + | 0.622666i | \(0.786050\pi\) |
−0.999662 | + | 0.0259835i | \(0.991728\pi\) | |||||||
\(662\) | −3.32444e9 | + | 1.21000e9i | −0.445364 | + | 0.162099i | ||||
\(663\) | 2.39935e8 | − | 1.88531e9i | 0.0319740 | − | 0.251237i | ||||
\(664\) | −2.73802e8 | − | 1.55281e9i | −0.0362951 | − | 0.205840i | ||||
\(665\) | −3.61691e9 | + | 6.26468e9i | −0.476939 | + | 0.826082i | ||||
\(666\) | 1.43385e10 | − | 1.45881e10i | 1.88080 | − | 1.91354i | ||||
\(667\) | −3.01353e9 | − | 5.21959e9i | −0.393220 | − | 0.681077i | ||||
\(668\) | 1.00739e10 | − | 8.45300e9i | 1.30761 | − | 1.09722i | ||||
\(669\) | 8.46335e9 | − | 7.82266e9i | 1.09283 | − | 1.01010i | ||||
\(670\) | 1.31538e9 | − | 7.45988e9i | 0.168962 | − | 0.958231i | ||||
\(671\) | 5.29427e9 | + | 4.44242e9i | 0.676514 | + | 0.567663i | ||||
\(672\) | 1.96637e10 | + | 3.05740e10i | 2.49962 | + | 3.88651i | ||||
\(673\) | 2.79426e9 | + | 1.01703e9i | 0.353358 | + | 0.128612i | 0.512599 | − | 0.858628i | \(-0.328683\pi\) |
−0.159242 | + | 0.987240i | \(0.550905\pi\) | |||||||
\(674\) | 1.69082e10 | 2.12710 | ||||||||
\(675\) | 5.46203e9 | + | 1.13695e9i | 0.683583 | + | 0.142291i | ||||
\(676\) | −1.70422e10 | −2.12184 | ||||||||
\(677\) | −1.01110e10 | − | 3.68009e9i | −1.25237 | − | 0.455824i | −0.371166 | − | 0.928566i | \(-0.621042\pi\) |
−0.881201 | + | 0.472742i | \(0.843264\pi\) | |||||||
\(678\) | −4.56888e9 | + | 8.86996e9i | −0.562997 | + | 1.09299i | ||||
\(679\) | −1.87050e9 | − | 1.56953e9i | −0.229305 | − | 0.192410i | ||||
\(680\) | 1.40453e9 | − | 7.96551e9i | 0.171297 | − | 0.971476i | ||||
\(681\) | −7.72437e8 | − | 3.41446e9i | −0.0937235 | − | 0.414293i | ||||
\(682\) | 1.60923e10 | − | 1.35030e10i | 1.94255 | − | 1.62999i | ||||
\(683\) | 6.49743e9 | + | 1.12539e10i | 0.780313 | + | 1.35154i | 0.931759 | + | 0.363077i | \(0.118274\pi\) |
−0.151446 | + | 0.988466i | \(0.548393\pi\) | |||||||
\(684\) | −1.82520e9 | + | 2.31622e10i | −0.218079 | + | 2.76747i | ||||
\(685\) | 3.92141e8 | − | 6.79207e8i | 0.0466149 | − | 0.0807394i | ||||
\(686\) | −2.75446e9 | − | 1.56213e10i | −0.325764 | − | 1.84750i | ||||
\(687\) | 1.29564e10 | − | 5.43231e9i | 1.52453 | − | 0.639198i | ||||
\(688\) | 2.21137e10 | − | 8.04873e9i | 2.58882 | − | 0.942253i | ||||
\(689\) | 1.33807e9 | − | 4.87017e8i | 0.155852 | − | 0.0567253i | ||||
\(690\) | −5.54569e9 | + | 2.32518e9i | −0.642664 | + | 0.269454i | ||||
\(691\) | 3.01289e8 | + | 1.70869e9i | 0.0347384 | + | 0.197011i | 0.997238 | − | 0.0742717i | \(-0.0236632\pi\) |
−0.962500 | + | 0.271283i | \(0.912552\pi\) | |||||||
\(692\) | −1.52313e10 | + | 2.63814e10i | −1.74729 | + | 3.02640i | ||||
\(693\) | −1.03401e10 | − | 7.10807e9i | −1.18021 | − | 0.811308i | ||||
\(694\) | −1.63905e10 | − | 2.83892e10i | −1.86137 | − | 3.22399i | ||||
\(695\) | 4.28803e9 | − | 3.59808e9i | 0.484519 | − | 0.406560i | ||||
\(696\) | 6.90906e9 | + | 3.05406e10i | 0.776760 | + | 3.43357i | ||||
\(697\) | −1.58371e8 | + | 8.98165e8i | −0.0177158 | + | 0.100471i | ||||
\(698\) | −4.70078e9 | − | 3.94442e9i | −0.523210 | − | 0.439025i | ||||
\(699\) | 7.09205e9 | − | 1.37684e10i | 0.785419 | − | 1.52480i | ||||
\(700\) | −2.48737e10 | − | 9.05327e9i | −2.74092 | − | 0.997613i | ||||
\(701\) | −1.72534e10 | −1.89174 | −0.945872 | − | 0.324541i | \(-0.894790\pi\) | ||||
−0.945872 | + | 0.324541i | \(0.894790\pi\) | |||||||
\(702\) | 7.26494e9 | − | 1.05227e9i | 0.792596 | − | 0.114801i | ||||
\(703\) | −1.40239e10 | −1.52239 | ||||||||
\(704\) | −1.78647e10 | − | 6.50221e9i | −1.92971 | − | 0.702355i | ||||
\(705\) | 2.55885e9 | + | 3.97861e9i | 0.275032 | + | 0.427631i | ||||
\(706\) | 6.99650e9 | + | 5.87076e9i | 0.748281 | + | 0.627882i | ||||
\(707\) | 4.06505e9 | − | 2.30541e10i | 0.432612 | − | 2.45346i | ||||
\(708\) | 1.18542e10 | − | 1.09568e10i | 1.25533 | − | 1.16030i | ||||
\(709\) | −8.80926e9 | + | 7.39184e9i | −0.928277 | + | 0.778917i | −0.975507 | − | 0.219967i | \(-0.929405\pi\) |
0.0472305 | + | 0.998884i | \(0.484960\pi\) | |||||||
\(710\) | −5.47437e9 | − | 9.48189e9i | −0.574024 | − | 0.994239i | ||||
\(711\) | 1.26455e9 | + | 3.27168e8i | 0.131945 | + | 0.0341372i | ||||
\(712\) | −1.20168e10 | + | 2.08137e10i | −1.24769 | + | 2.16107i | ||||
\(713\) | 1.70251e9 | + | 9.65542e9i | 0.175904 | + | 0.997603i | ||||
\(714\) | −2.24984e9 | + | 1.76783e10i | −0.231317 | + | 1.81759i | ||||
\(715\) | −1.89093e9 | + | 6.88244e8i | −0.193466 | + | 0.0704160i | ||||
\(716\) | 2.11240e10 | − | 7.68851e9i | 2.15071 | − | 0.782793i | ||||
\(717\) | −3.73418e9 | − | 2.83982e9i | −0.378336 | − | 0.287723i | ||||
\(718\) | 2.28948e9 | + | 1.29843e10i | 0.230835 | + | 1.30913i | ||||
\(719\) | 3.01431e9 | − | 5.22093e9i | 0.302438 | − | 0.523838i | −0.674250 | − | 0.738504i | \(-0.735533\pi\) |
0.976688 | + | 0.214666i | \(0.0688661\pi\) | |||||||
\(720\) | 1.69453e10 | − | 1.62996e9i | 1.69194 | − | 0.162747i | ||||
\(721\) | 1.19719e10 | + | 2.07360e10i | 1.18957 | + | 2.06040i | ||||
\(722\) | 2.25752e9 | − | 1.89428e9i | 0.223229 | − | 0.187312i | ||||
\(723\) | −4.00226e9 | − | 1.24295e9i | −0.393841 | − | 0.122312i | ||||
\(724\) | 5.42744e8 | − | 3.07806e9i | 0.0531509 | − | 0.301433i | ||||
\(725\) | −6.44154e9 | − | 5.40510e9i | −0.627779 | − | 0.526769i | ||||
\(726\) | −4.19263e9 | + | 2.01180e8i | −0.406639 | + | 0.0195122i | ||||
\(727\) | 6.43880e9 | + | 2.34353e9i | 0.621490 | + | 0.226204i | 0.633523 | − | 0.773724i | \(-0.281608\pi\) |
−0.0120331 | + | 0.999928i | \(0.503830\pi\) | |||||||
\(728\) | −2.13512e10 | −2.05098 | ||||||||
\(729\) | 1.00305e10 | − | 2.96794e9i | 0.958904 | − | 0.283732i | ||||
\(730\) | 6.36491e8 | 0.0605568 | ||||||||
\(731\) | 5.29025e9 | + | 1.92549e9i | 0.500916 | + | 0.182319i | ||||
\(732\) | 2.73040e10 | − | 1.31016e9i | 2.57299 | − | 0.123462i | ||||
\(733\) | 7.81407e9 | + | 6.55678e9i | 0.732847 | + | 0.614932i | 0.930906 | − | 0.365258i | \(-0.119019\pi\) |
−0.198059 | + | 0.980190i | \(0.563464\pi\) | |||||||
\(734\) | −2.19504e9 | + | 1.24487e10i | −0.204883 | + | 1.16195i | ||||
\(735\) | −9.10921e9 | − | 2.82898e9i | −0.846204 | − | 0.262799i | ||||
\(736\) | 1.58708e10 | − | 1.33172e10i | 1.46733 | − | 1.23124i | ||||
\(737\) | −4.50417e9 | − | 7.80146e9i | −0.414456 | − | 0.717859i | ||||
\(738\) | −3.50650e9 | + | 3.37289e8i | −0.321127 | + | 0.0308891i | ||||
\(739\) | 5.22487e9 | − | 9.04974e9i | 0.476233 | − | 0.824860i | −0.523396 | − | 0.852090i | \(-0.675335\pi\) |
0.999629 | + | 0.0272293i | \(0.00866842\pi\) | |||||||
\(740\) | 3.85116e9 | + | 2.18410e10i | 0.349366 | + | 1.98135i | ||||
\(741\) | −4.00598e9 | − | 3.04653e9i | −0.361697 | − | 0.275069i | ||||
\(742\) | −1.25469e10 | + | 4.56670e9i | −1.12752 | + | 0.410382i | ||||
\(743\) | 1.30385e10 | − | 4.74562e9i | 1.16618 | − | 0.424456i | 0.314880 | − | 0.949131i | \(-0.398036\pi\) |
0.851302 | + | 0.524676i | \(0.175813\pi\) | |||||||
\(744\) | 6.43064e9 | − | 5.05290e10i | 0.572465 | − | 4.49817i | ||||
\(745\) | −7.90574e8 | − | 4.48357e9i | −0.0700480 | − | 0.397262i | ||||
\(746\) | 2.75944e9 | − | 4.77949e9i | 0.243352 | − | 0.421498i | ||||
\(747\) | 7.68597e8 | + | 1.98853e8i | 0.0674647 | + | 0.0174546i | ||||
\(748\) | −7.84520e9 | − | 1.35883e10i | −0.685407 | − | 1.18716i | ||||
\(749\) | −7.19345e9 | + | 6.03602e9i | −0.625534 | + | 0.524885i | ||||
\(750\) | −1.49849e10 | + | 1.38505e10i | −1.29700 | + | 1.19882i | ||||
\(751\) | 3.68014e9 | − | 2.08711e10i | 0.317048 | − | 1.79807i | −0.243451 | − | 0.969913i | \(-0.578280\pi\) |
0.560499 | − | 0.828155i | \(-0.310609\pi\) | |||||||
\(752\) | −2.55842e10 | − | 2.14677e10i | −2.19386 | − | 1.84087i | ||||
\(753\) | −5.58298e9 | − | 8.68065e9i | −0.476523 | − | 0.740917i | ||||
\(754\) | −1.03967e10 | − | 3.78411e9i | −0.883279 | − | 0.321487i | ||||
\(755\) | −5.06453e9 | −0.428277 | ||||||||
\(756\) | −4.91164e10 | + | 7.11414e9i | −4.13429 | + | 0.598819i | ||||
\(757\) | −1.84056e10 | −1.54210 | −0.771052 | − | 0.636772i | \(-0.780269\pi\) | ||||
−0.771052 | + | 0.636772i | \(0.780269\pi\) | |||||||
\(758\) | −9.33377e9 | − | 3.39721e9i | −0.778421 | − | 0.283322i | ||||
\(759\) | −3.27471e9 | + | 6.35748e9i | −0.271848 | + | 0.527762i | ||||
\(760\) | −1.64080e10 | − | 1.37680e10i | −1.35584 | − | 1.13769i | ||||
\(761\) | −1.00220e9 | + | 5.68374e9i | −0.0824340 | + | 0.467506i | 0.915447 | + | 0.402439i | \(0.131837\pi\) |
−0.997881 | + | 0.0650676i | \(0.979274\pi\) | |||||||
\(762\) | 5.69677e9 | + | 2.51818e10i | 0.466429 | + | 2.06179i | ||||
\(763\) | 5.00621e9 | − | 4.20071e9i | 0.408012 | − | 0.342363i | ||||
\(764\) | 1.91292e10 | + | 3.31327e10i | 1.55192 | + | 2.68800i | ||||
\(765\) | 3.35604e9 | + | 2.30703e9i | 0.271027 | + | 0.186311i | ||||
\(766\) | 7.54740e9 | − | 1.30725e10i | 0.606731 | − | 1.05089i | ||||
\(767\) | 6.07190e8 | + | 3.44354e9i | 0.0485893 | + | 0.275564i | ||||
\(768\) | −6.68990e9 | + | 2.80492e9i | −0.532912 | + | 0.223437i | ||||
\(769\) | 3.01321e9 | − | 1.09672e9i | 0.238939 | − | 0.0869667i | −0.219775 | − | 0.975551i | \(-0.570532\pi\) |
0.458714 | + | 0.888584i | \(0.348310\pi\) | |||||||
\(770\) | 1.77310e10 | − | 6.45357e9i | 1.39964 | − | 0.509428i | ||||
\(771\) | 5.76612e9 | − | 2.41760e9i | 0.453099 | − | 0.189974i | ||||
\(772\) | 2.01003e9 | + | 1.13994e10i | 0.157232 | + | 0.891708i | ||||
\(773\) | 6.14329e9 | − | 1.06405e10i | 0.478380 | − | 0.828578i | −0.521313 | − | 0.853366i | \(-0.674558\pi\) |
0.999693 | + | 0.0247875i | \(0.00789093\pi\) | |||||||
\(774\) | −1.70823e9 | + | 2.16778e10i | −0.132420 | + | 1.68044i | ||||
\(775\) | 6.83943e9 | + | 1.18462e10i | 0.527793 | + | 0.914165i | ||||
\(776\) | 5.53849e9 | − | 4.64735e9i | 0.425477 | − | 0.357017i | ||||
\(777\) | −6.60972e9 | − | 2.92174e10i | −0.505486 | − | 2.23444i | ||||
\(778\) | −1.43210e9 | + | 8.12185e9i | −0.109030 | + | 0.618339i | ||||
\(779\) | 1.85012e9 | + | 1.55243e9i | 0.140223 | + | 0.117661i | ||||
\(780\) | −3.64462e9 | + | 7.07561e9i | −0.274992 | + | 0.533866i | ||||
\(781\) | −1.22353e10 | − | 4.45328e9i | −0.919043 | − | 0.334504i | ||||
\(782\) | 1.01567e10 | 0.759501 | ||||||||
\(783\) | −1.54350e10 | − | 3.21287e9i | −1.14906 | − | 0.239181i | ||||
\(784\) | 6.73429e10 | 4.99098 | ||||||||
\(785\) | 1.72160e9 | + | 6.26611e8i | 0.127025 | + | 0.0462332i | ||||
\(786\) | −1.83643e10 | − | 2.85536e10i | −1.34895 | − | 2.09740i | ||||
\(787\) | 1.37677e10 | + | 1.15525e10i | 1.00682 | + | 0.844819i | 0.987914 | − | 0.155002i | \(-0.0495385\pi\) |
0.0189020 | + | 0.999821i | \(0.493983\pi\) | |||||||
\(788\) | −1.02022e10 | + | 5.78597e10i | −0.742769 | + | 4.21245i | ||||
\(789\) | −7.13321e9 | + | 6.59322e9i | −0.517030 | + | 0.477890i | ||||
\(790\) | −1.50469e9 | + | 1.26258e9i | −0.108580 | + | 0.0911098i | ||||
\(791\) | 7.30592e9 | + | 1.26542e10i | 0.524877 | + | 0.909113i | ||||
\(792\) | 2.60436e10 | − | 2.64970e10i | 1.86279 | − | 1.89521i | ||||
\(793\) | −2.96062e9 | + | 5.12795e9i | −0.210827 | + | 0.365164i | ||||
\(794\) | −2.57378e9 | − | 1.45967e10i | −0.182474 | − | 1.03486i | ||||
\(795\) | −3.85221e8 | + | 3.02689e9i | −0.0271910 | + | 0.213654i | ||||
\(796\) | −4.00647e10 | + | 1.45824e10i | −2.81557 | + | 1.02478i | ||||
\(797\) | 3.77875e9 | − | 1.37535e9i | 0.264389 | − | 0.0962298i | −0.206424 | − | 0.978463i | \(-0.566183\pi\) |
0.470813 | + | 0.882233i | \(0.343960\pi\) | |||||||
\(798\) | 3.75636e10 | + | 2.85669e10i | 2.61672 | + | 1.99000i | ||||
\(799\) | −1.38740e9 | − | 7.86835e9i | −0.0962252 | − | 0.545720i | ||||
\(800\) | 1.44526e10 | − | 2.50327e10i | 0.998002 | − | 1.72859i | ||||
\(801\) | −7.02608e9 | − | 9.85226e9i | −0.483058 | − | 0.677364i | ||||
\(802\) | 1.97538e10 | + | 3.42146e10i | 1.35220 | + | 2.34207i | ||||
\(803\) | 5.79844e8 | − | 4.86547e8i | 0.0395190 | − | 0.0331604i | ||||
\(804\) | −3.40271e10 | − | 1.05675e10i | −2.30902 | − | 0.717096i | ||||
\(805\) | −1.52923e9 | + | 8.67272e9i | −0.103321 | + | 0.585963i | ||||
\(806\) | 1.37873e10 | + | 1.15689e10i | 0.927485 | + | 0.778252i | ||||
\(807\) | −1.19047e10 | + | 5.71234e8i | −0.797369 | + | 0.0382610i | ||||
\(808\) | 6.51353e10 | + | 2.37073e10i | 4.34387 | + | 1.58104i | ||||
\(809\) | 1.85720e10 | 1.23321 | 0.616607 | − | 0.787271i | \(-0.288507\pi\) | ||||
0.616607 | + | 0.787271i | \(0.288507\pi\) | |||||||
\(810\) | −5.12417e9 | + | 1.48721e10i | −0.338786 | + | 0.983277i | ||||
\(811\) | −1.94425e10 | −1.27991 | −0.639955 | − | 0.768413i | \(-0.721047\pi\) | ||||
−0.639955 | + | 0.768413i | \(0.721047\pi\) | |||||||
\(812\) | 7.02898e10 | + | 2.55834e10i | 4.60730 | + | 1.67692i | ||||
\(813\) | 9.73602e9 | − | 4.67174e8i | 0.635426 | − | 0.0304903i | ||||
\(814\) | 2.80222e10 | + | 2.35134e10i | 1.82103 | + | 1.52802i | ||||
\(815\) | 2.64387e8 | − | 1.49941e9i | 0.0171076 | − | 0.0970219i | ||||
\(816\) | −2.74591e10 | − | 8.52775e9i | −1.76917 | − | 0.549438i | ||||
\(817\) | 1.14205e10 | − | 9.58292e9i | 0.732668 | − | 0.614782i | ||||
\(818\) | −2.62674e10 | − | 4.54964e10i | −1.67795 | − | 2.90630i | ||||
\(819\) | 4.45907e9 | − | 9.78197e9i | 0.283629 | − | 0.622204i | ||||
\(820\) | 1.90972e9 | − | 3.30772e9i | 0.120954 | − | 0.209498i | ||||
\(821\) | −2.93583e8 | − | 1.66499e9i | −0.0185152 | − | 0.105005i | 0.974150 | − | 0.225904i | \(-0.0725335\pi\) |
−0.992665 | + | 0.120899i | \(0.961422\pi\) | |||||||
\(822\) | −4.07259e9 | − | 3.09718e9i | −0.255752 | − | 0.194498i | ||||
\(823\) | −7.48346e9 | + | 2.72376e9i | −0.467954 | + | 0.170321i | −0.565225 | − | 0.824937i | \(-0.691211\pi\) |
0.0972712 | + | 0.995258i | \(0.468989\pi\) | |||||||
\(824\) | −6.66214e10 | + | 2.42482e10i | −4.14829 | + | 1.50985i | ||||
\(825\) | −1.25962e9 | + | 9.89753e9i | −0.0781000 | + | 0.613674i | ||||
\(826\) | −5.69353e9 | − | 3.22896e10i | −0.351521 | − | 1.99358i | ||||
\(827\) | 9.75052e9 | − | 1.68884e10i | 0.599457 | − | 1.03829i | −0.393444 | − | 0.919349i | \(-0.628716\pi\) |
0.992901 | − | 0.118942i | \(-0.0379503\pi\) | |||||||
\(828\) | 7.55621e9 | + | 2.72572e10i | 0.462592 | + | 1.66869i | ||||
\(829\) | 2.80346e9 | + | 4.85574e9i | 0.170905 | + | 0.296015i | 0.938736 | − | 0.344636i | \(-0.111998\pi\) |
−0.767832 | + | 0.640652i | \(0.778664\pi\) | |||||||
\(830\) | −9.14553e8 | + | 7.67401e8i | −0.0555182 | + | 0.0465853i | ||||
\(831\) | 1.34942e10 | − | 1.24727e10i | 0.815727 | − | 0.753976i | ||||
\(832\) | 2.82840e9 | − | 1.60407e10i | 0.170259 | − | 0.965586i | ||||
\(833\) | 1.23413e10 | + | 1.03556e10i | 0.739780 | + | 0.620749i | ||||
\(834\) | −1.97537e10 | − | 3.07138e10i | −1.17914 | − | 1.83338i | ||||
\(835\) | −5.73600e9 | − | 2.08773e9i | −0.340963 | − | 0.124100i | ||||
\(836\) | −4.15503e10 | −2.45953 | ||||||||
\(837\) | 2.18067e10 | + | 1.34989e10i | 1.28544 | + | 0.795717i | ||||
\(838\) | −1.41816e10 | −0.832474 | ||||||||
\(839\) | −2.60214e10 | − | 9.47100e9i | −1.52112 | − | 0.553642i | −0.559692 | − | 0.828701i | \(-0.689081\pi\) |
−0.961427 | + | 0.275059i | \(0.911303\pi\) | |||||||
\(840\) | 2.09509e10 | − | 4.06737e10i | 1.21962 | − | 2.36775i | ||||
\(841\) | 4.98883e9 | + | 4.18613e9i | 0.289210 | + | 0.242676i | ||||
\(842\) | −3.37606e9 | + | 1.91466e10i | −0.194903 | + | 1.10535i | ||||
\(843\) | 5.53379e9 | + | 2.44614e10i | 0.318146 | + | 1.40632i | ||||
\(844\) | −4.56253e10 | + | 3.82842e10i | −2.61220 | + | 2.19190i | ||||
\(845\) | 3.95526e9 | + | 6.85072e9i | 0.225516 | + | 0.390605i | ||||
\(846\) | 2.78555e10 | − | 1.32830e10i | 1.58166 | − | 0.754224i | ||||
\(847\) | −3.07354e9 | + | 5.32353e9i | −0.173799 | + | 0.301029i | ||||
\(848\) | −3.74087e9 | − | 2.12155e10i | −0.210662 | − | 1.19473i | ||||
\(849\) | 4.97194e9 | − | 2.08462e9i | 0.278836 | − | 0.116910i | ||||
\(850\) | 1.33158e10 | − | 4.84656e9i | 0.743707 | − | 0.270687i | ||||
\(851\) | −1.60432e10 | + | 5.83923e9i | −0.892352 | + | 0.324790i | ||||
\(852\) | −4.74938e10 | + | 1.99131e10i | −2.63086 | + | 1.10306i | ||||
\(853\) | 1.64181e8 | + | 9.31115e8i | 0.00905734 | + | 0.0513667i | 0.989001 | − | 0.147906i | \(-0.0472532\pi\) |
−0.979944 | + | 0.199272i | \(0.936142\pi\) | |||||||
\(854\) | 2.77614e10 | − | 4.80841e10i | 1.52524 | − | 2.64179i | ||||
\(855\) | 9.73448e9 | − | 4.64193e9i | 0.532637 | − | 0.253990i | ||||
\(856\) | −1.39023e10 | − | 2.40795e10i | −0.757581 | − | 1.31217i | ||||
\(857\) | −1.61548e10 | + | 1.35555e10i | −0.876738 | + | 0.735671i | −0.965506 | − | 0.260382i | \(-0.916152\pi\) |
0.0887674 | + | 0.996052i | \(0.471707\pi\) | |||||||
\(858\) | 2.89664e9 | + | 1.28042e10i | 0.156563 | + | 0.692066i | ||||
\(859\) | −3.44371e9 | + | 1.95302e10i | −0.185375 | + | 1.05131i | 0.740099 | + | 0.672498i | \(0.234779\pi\) |
−0.925473 | + | 0.378813i | \(0.876332\pi\) | |||||||
\(860\) | −1.80608e10 | − | 1.51548e10i | −0.968263 | − | 0.812469i | ||||
\(861\) | −2.36235e9 | + | 4.58623e9i | −0.126134 | + | 0.244875i | ||||
\(862\) | −5.36307e10 | − | 1.95200e10i | −2.85193 | − | 1.03802i | ||||
\(863\) | −3.18054e10 | −1.68447 | −0.842234 | − | 0.539113i | \(-0.818760\pi\) | ||||
−0.842234 | + | 0.539113i | \(0.818760\pi\) | |||||||
\(864\) | 1.66303e9 | − | 5.41693e10i | 0.0877209 | − | 2.85730i | ||||
\(865\) | 1.41399e10 | 0.742833 | ||||||||
\(866\) | −2.45584e9 | − | 8.93852e8i | −0.128495 | − | 0.0467684i | ||||
\(867\) | 6.65950e9 | + | 1.03545e10i | 0.347036 | + | 0.539586i | ||||
\(868\) | −9.32126e10 | − | 7.82146e10i | −4.83788 | − | 4.05947i | ||||
\(869\) | −4.05627e8 | + | 2.30043e9i | −0.0209680 | + | 0.118916i | ||||
\(870\) | 1.74105e10 | − | 1.60925e10i | 0.896383 | − | 0.828526i | ||||
\(871\) | 5.91235e9 | − | 4.96105e9i | 0.303177 | − | 0.254396i | ||||
\(872\) | 9.67518e9 | + | 1.67579e10i | 0.494142 | + | 0.855879i | ||||
\(873\) | 9.72487e8 | + | 3.50802e9i | 0.0494691 | + | 0.178448i | ||||
\(874\) | 1.34482e10 | − | 2.32929e10i | 0.681354 | − | 1.18014i | ||||
\(875\) | 5.18920e9 | + | 2.94294e10i | 0.261862 | + | 1.48509i | ||||
\(876\) | 3.77968e8 | − | 2.96990e9i | 0.0189972 | − | 0.149272i | ||||
\(877\) | 3.10026e10 | − | 1.12840e10i | 1.55203 | − | 0.564892i | 0.583136 | − | 0.812374i | \(-0.301825\pi\) |
0.968892 | + | 0.247482i | \(0.0796032\pi\) | |||||||
\(878\) | 3.51492e10 | − | 1.27932e10i | 1.75261 | − | 0.637896i | ||||
\(879\) | −1.87221e10 | − | 1.42380e10i | −0.929806 | − | 0.707113i | ||||
\(880\) | 5.28652e9 | + | 2.99814e10i | 0.261506 | + | 1.48307i | ||||
\(881\) | −1.42299e10 | + | 2.46469e10i | −0.701110 | + | 1.21436i | 0.266967 | + | 0.963706i | \(0.413978\pi\) |
−0.968077 | + | 0.250652i | \(0.919355\pi\) | |||||||
\(882\) | −2.58105e10 | + | 5.66212e10i | −1.26665 | + | 2.77868i | ||||
\(883\) | 7.84032e9 | + | 1.35798e10i | 0.383240 | + | 0.663792i | 0.991523 | − | 0.129928i | \(-0.0414748\pi\) |
−0.608283 | + | 0.793720i | \(0.708141\pi\) | |||||||
\(884\) | 1.02979e10 | − | 8.64098e9i | 0.501379 | − | 0.420707i | ||||
\(885\) | −7.15571e9 | − | 2.22229e9i | −0.347017 | − | 0.107771i | ||||
\(886\) | 8.05691e9 | − | 4.56930e10i | 0.389180 | − | 2.20715i | ||||
\(887\) | 2.34980e10 | + | 1.97172e10i | 1.13057 | + | 0.948663i | 0.999090 | − | 0.0426559i | \(-0.0135819\pi\) |
0.131482 | + | 0.991319i | \(0.458026\pi\) | |||||||
\(888\) | 8.85962e10 | − | 4.25121e9i | 4.24590 | − | 0.203736i | ||||
\(889\) | 3.55299e10 | + | 1.29318e10i | 1.69605 | + | 0.617311i | ||||
\(890\) | 1.81973e10 | 0.865249 | ||||||||
\(891\) | 6.70044e9 | + | 1.74655e10i | 0.317345 | + | 0.827199i | ||||
\(892\) | 8.15193e10 | 3.84577 | ||||||||
\(893\) | −1.98819e10 | − | 7.23643e9i | −0.934283 | − | 0.340051i | ||||
\(894\) | −2.96670e10 | + | 1.42354e9i | −1.38865 | + | 0.0666330i | ||||
\(895\) | −7.99328e9 | − | 6.70716e9i | −0.372687 | − | 0.312722i | ||||
\(896\) | −9.24416e9 | + | 5.24262e10i | −0.429328 | + | 2.43484i | ||||
\(897\) | −5.85131e9 | − | 1.81719e9i | −0.270694 | − | 0.0840675i | ||||
\(898\) | 8.67928e9 | − | 7.28278e9i | 0.399960 | − | 0.335606i | ||||
\(899\) | −1.93274e10 | − | 3.34760e10i | −0.887185 | − | 1.53665i | ||||
\(900\) | 2.29131e10 | + | 3.21297e10i | 1.04769 | + | 1.46912i | ||||
\(901\) | 2.57683e9 | − | 4.46321e9i | 0.117368 | − | 0.203287i | ||||
\(902\) | −1.09395e9 | − | 6.20407e9i | −0.0496332 | − | 0.281484i | ||||
\(903\) | 2.53478e10 | + | 1.92769e10i | 1.14560 | + | 0.871224i | ||||
\(904\) | −4.06560e10 | + | 1.47976e10i | −1.83036 | + | 0.666195i | ||||
\(905\) | −1.36330e9 | + | 4.96200e8i | −0.0611394 | + | 0.0222529i | ||||
\(906\) | −4.17122e9 | + | 3.27756e10i | −0.186344 | + | 1.46421i | ||||
\(907\) | −3.48840e9 | − | 1.97837e10i | −0.155239 | − | 0.880404i | −0.958567 | − | 0.284867i | \(-0.908051\pi\) |
0.803328 | − | 0.595537i | \(-0.203061\pi\) | |||||||
\(908\) | 1.23810e10 | − | 2.14445e10i | 0.548851 | − | 0.950639i | ||||
\(909\) | −2.44645e10 | + | 2.48904e10i | −1.08035 | + | 1.09915i | ||||
\(910\) | 8.08313e9 | + | 1.40004e10i | 0.355578 | + | 0.615879i | ||||
\(911\) | 8.64448e9 | − | 7.25358e9i | 0.378813 | − | 0.317862i | −0.433423 | − | 0.901190i | \(-0.642695\pi\) |
0.812236 | + | 0.583329i | \(0.198250\pi\) | |||||||
\(912\) | −5.59148e10 | + | 5.16820e10i | −2.44087 | + | 2.25610i | ||||
\(913\) | −2.46541e8 | + | 1.39820e9i | −0.0107212 | + | 0.0608027i | ||||
\(914\) | −1.68615e10 | − | 1.41485e10i | −0.730442 | − | 0.612914i | ||||
\(915\) | −6.86356e9 | − | 1.06718e10i | −0.296194 | − | 0.460534i | ||||
\(916\) | 9.33812e10 | + | 3.39880e10i | 4.01444 | + | 1.46114i | ||||
\(917\) | −4.97180e10 | −2.12922 | ||||||||
\(918\) | 1.76943e10 | − | 1.98189e10i | 0.754890 | − | 0.845531i | ||||
\(919\) | −1.45396e10 | −0.617944 | −0.308972 | − | 0.951071i | \(-0.599985\pi\) | ||||
−0.308972 | + | 0.951071i | \(0.599985\pi\) | |||||||
\(920\) | −2.45033e10 | − | 8.91846e9i | −1.03745 | − | 0.377600i | ||||
\(921\) | 1.40372e10 | − | 2.72517e10i | 0.592070 | − | 1.14944i | ||||
\(922\) | −3.84146e10 | − | 3.22337e10i | −1.61413 | − | 1.35442i | ||||
\(923\) | 1.93714e9 | − | 1.09860e10i | 0.0810876 | − | 0.459870i | ||||
\(924\) | −1.95834e10 | − | 8.65662e10i | −0.816652 | − | 3.60991i | ||||
\(925\) | −1.82469e10 | + | 1.53109e10i | −0.758040 | + | 0.636071i | ||||
\(926\) | 3.90386e10 | + | 6.76169e10i | 1.61568 | + | 2.79844i | ||||
\(927\) | 2.80425e9 | − | 3.55865e10i | 0.115621 | − | 1.46726i | ||||
\(928\) | −4.08413e10 | + | 7.07392e10i | −1.67757 | + | 2.90564i | ||||
\(929\) | 2.34657e9 | + | 1.33081e10i | 0.0960239 | + | 0.544578i | 0.994429 | + | 0.105410i | \(0.0336156\pi\) |
−0.898405 | + | 0.439168i | \(0.855273\pi\) | |||||||
\(930\) | −3.55675e10 | + | 1.49126e10i | −1.44998 | + | 0.607944i | ||||
\(931\) | 4.00897e10 | − | 1.45914e10i | 1.62820 | − | 0.592617i | ||||
\(932\) | 1.02943e11 | − | 3.74680e10i | 4.16523 | − | 1.51602i | ||||
\(933\) | 1.19287e10 | − | 5.00145e9i | 0.480849 | − | 0.201609i | ||||
\(934\) | −1.24645e10 | − | 7.06896e10i | −0.500564 | − | 2.83884i | ||||
\(935\) | −3.64153e9 | + | 6.30732e9i | −0.145695 | + | 0.252351i | ||||
\(936\) | 2.62314e10 | + | 1.80322e10i | 1.04558 | + | 0.718757i | ||||
\(937\) | −2.50514e10 | − | 4.33903e10i | −0.994819 | − | 1.72308i | −0.585454 | − | 0.810706i | \(-0.699084\pi\) |
−0.409364 | − | 0.912371i | \(-0.634250\pi\) | |||||||
\(938\) | −5.54393e10 | + | 4.65191e10i | −2.19335 | + | 1.84044i | ||||
\(939\) | 2.66887e9 | + | 1.17974e10i | 0.105196 | + | 0.465005i | ||||
\(940\) | −5.81027e9 | + | 3.29517e10i | −0.228165 | + | 1.29399i | ||||
\(941\) | −2.84647e10 | − | 2.38847e10i | −1.11363 | − | 0.934450i | −0.115368 | − | 0.993323i | \(-0.536805\pi\) |
−0.998265 | + | 0.0588733i | \(0.981249\pi\) | |||||||
\(942\) | 5.47311e9 | − | 1.06254e10i | 0.213332 | − | 0.414160i | ||||
\(943\) | 2.76291e9 | + | 1.00562e9i | 0.107294 | + | 0.0390519i | ||||
\(944\) | 5.29009e10 | 2.04673 | ||||||||
\(945\) | 1.42591e10 | + | 1.80930e10i | 0.549642 | + | 0.697429i | ||||
\(946\) | −3.88876e10 | −1.49345 | ||||||||
\(947\) | 2.34768e10 | + | 8.54487e9i | 0.898286 | + | 0.326949i | 0.749566 | − | 0.661930i | \(-0.230262\pi\) |
0.148720 | + | 0.988879i | \(0.452485\pi\) | |||||||
\(948\) | 4.99775e9 | + | 7.77071e9i | 0.190522 | + | 0.296232i | ||||
\(949\) | 4.96789e8 | + | 4.16856e8i | 0.0188686 | + | 0.0158327i | ||||
\(950\) | 6.51618e9 | − | 3.69551e10i | 0.246582 | − | 1.39843i | ||||
\(951\) | −2.66181e10 | + | 2.46031e10i | −1.00357 | + | 0.927595i | ||||
\(952\) | −5.91969e10 | + | 4.96721e10i | −2.22367 | + | 1.86588i | ||||
\(953\) | −8.82760e9 | − | 1.52898e10i | −0.330383 | − | 0.572240i | 0.652204 | − | 0.758043i | \(-0.273845\pi\) |
−0.982587 | + | 0.185804i | \(0.940511\pi\) | |||||||
\(954\) | 1.92716e10 | + | 4.98599e9i | 0.718617 | + | 0.185922i | ||||
\(955\) | 8.87925e9 | − | 1.53793e10i | 0.329886 | − | 0.571380i | ||||
\(956\) | −5.76225e9 | − | 3.26793e10i | −0.213299 | − | 1.20968i | ||||
\(957\) | 3.55953e9 | − | 2.79692e10i | 0.131281 | − | 1.03154i | ||||
\(958\) | 4.23292e9 | − | 1.54066e9i | 0.155547 | − | 0.0566144i | ||||
\(959\) | −7.04111e9 | + | 2.56275e9i | −0.257796 | + | 0.0938300i | ||||
\(960\) | 2.77819e10 | + | 2.11280e10i | 1.01347 | + | 0.770742i | ||||
\(961\) | 6.14159e9 | + | 3.48307e10i | 0.223228 | + | 1.26599i | ||||
\(962\) | −1.56704e10 | + | 2.71419e10i | −0.567502 | + | 0.982941i | ||||
\(963\) | 1.39354e10 | − | 1.34044e9i | 0.502837 | − | 0.0483677i | ||||
\(964\) | −1.48216e10 | − | 2.56717e10i | −0.532874 | − | 0.922965i | ||||
\(965\) | 4.11591e9 | − | 3.45366e9i | 0.147442 | − | 0.123718i | ||||
\(966\) | 5.48669e10 | + | 1.70396e10i | 1.95835 | + | 0.608190i | ||||
\(967\) | 3.34676e8 | − | 1.89804e9i | 0.0119023 | − | 0.0675015i | −0.978278 | − | 0.207297i | \(-0.933533\pi\) |
0.990180 | + | 0.139795i | \(0.0446445\pi\) | |||||||
\(968\) | −1.39430e10 | − | 1.16996e10i | −0.494076 | − | 0.414579i | ||||
\(969\) | −1.81943e10 | + | 8.73037e8i | −0.642395 | + | 0.0308247i | ||||
\(970\) | −5.14413e9 | − | 1.87231e9i | −0.180972 | − | 0.0658683i | ||||
\(971\) | 3.08325e10 | 1.08079 | 0.540395 | − | 0.841412i | \(-0.318275\pi\) | ||||
0.540395 | + | 0.841412i | \(0.318275\pi\) | |||||||
\(972\) | 6.63513e10 | + | 3.27411e10i | 2.31749 | + | 1.14357i | ||||
\(973\) | −5.34794e10 | −1.86119 | ||||||||
\(974\) | −3.40996e9 | − | 1.24112e9i | −0.118248 | − | 0.0430387i | ||||
\(975\) | −8.53842e9 | + | 4.09708e8i | −0.295027 | + | 0.0141566i | ||||
\(976\) | 6.86241e10 | + | 5.75824e10i | 2.36267 | + | 1.98251i | ||||
\(977\) | −4.43965e9 | + | 2.51785e10i | −0.152306 | + | 0.863772i | 0.808901 | + | 0.587945i | \(0.200063\pi\) |
−0.961207 | + | 0.275827i | \(0.911048\pi\) | |||||||
\(978\) | −9.48586e9 | − | 2.94595e9i | −0.324258 | − | 0.100702i | ||||
\(979\) | 1.65777e10 | − | 1.39103e10i | 0.564657 | − | 0.473804i | ||||
\(980\) | −3.37342e10 | − | 5.84293e10i | −1.14493 | − | 1.98308i | ||||
\(981\) | −9.69819e9 | + | 9.32866e8i | −0.327981 | + | 0.0315484i | ||||
\(982\) | −5.19863e10 | + | 9.00430e10i | −1.75186 | + | 3.03431i | ||||
\(983\) | −5.28721e9 | − | 2.99853e10i | −0.177537 | − | 1.00686i | −0.935174 | − | 0.354188i | \(-0.884757\pi\) |
0.757637 | − | 0.652676i | \(-0.226354\pi\) | |||||||
\(984\) | −1.21588e10 | − | 9.24668e9i | −0.406824 | − | 0.309388i | ||||
\(985\) | 2.56266e10 | − | 9.32732e9i | 0.854406 | − | 0.310978i | ||||
\(986\) | −3.76289e10 | + | 1.36958e10i | −1.25012 | + | 0.455007i | ||||
\(987\) | 5.70570e9 | − | 4.48328e10i | 0.188886 | − | 1.48418i | ||||
\(988\) | −6.18168e9 | − | 3.50580e10i | −0.203919 | − | 1.15648i | ||||
\(989\) | 9.07479e9 | − | 1.57180e10i | 0.298297 | − | 0.516666i | ||||
\(990\) | −2.72342e10 | − | 7.04610e9i | −0.892055 | − | 0.230795i | ||||
\(991\) | 1.82251e10 | + | 3.15668e10i | 0.594856 | + | 1.03032i | 0.993567 | + | 0.113245i | \(0.0361244\pi\) |
−0.398711 | + | 0.917077i | \(0.630542\pi\) | |||||||
\(992\) | 1.01788e11 | − | 8.54104e10i | 3.31060 | − | 2.77792i | ||||
\(993\) | 5.67228e9 | − | 5.24288e9i | 0.183838 | − | 0.169921i | ||||
\(994\) | −1.81643e10 | + | 1.03015e11i | −0.586632 | + | 3.32695i | ||||
\(995\) | 1.51604e10 | + | 1.27211e10i | 0.487899 | + | 0.409396i | ||||
\(996\) | 3.03764e9 | + | 4.72305e9i | 0.0974157 | + | 0.151466i | ||||
\(997\) | −4.15635e9 | − | 1.51279e9i | −0.132825 | − | 0.0483443i | 0.274752 | − | 0.961515i | \(-0.411404\pi\) |
−0.407577 | + | 0.913171i | \(0.633626\pi\) | |||||||
\(998\) | 5.56277e10 | 1.77147 | ||||||||
\(999\) | −1.65551e10 | + | 4.14779e10i | −0.525355 | + | 1.31625i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 27.8.e.a.4.1 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.20 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.1 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.20 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.1 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.1 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.20 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.20 | 120 | 3.2 | odd | 2 |