Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(53,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.53");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.e (of order \(3\), 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: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(58\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 53.8 | ||
Character | \(\chi\) | \(=\) | 91.53 |
Dual form | 91.8.e.b.79.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.60583 | − | 11.4416i | −0.583878 | − | 1.01131i | −0.995014 | − | 0.0997330i | \(-0.968201\pi\) |
0.411136 | − | 0.911574i | \(-0.365132\pi\) | |||||||
\(3\) | 33.9784 | − | 58.8524i | 0.726573 | − | 1.25846i | −0.231751 | − | 0.972775i | \(-0.574445\pi\) |
0.958323 | − | 0.285686i | \(-0.0922213\pi\) | |||||||
\(4\) | −23.2740 | + | 40.3117i | −0.181828 | + | 0.314935i | ||||
\(5\) | −146.782 | − | 254.233i | −0.525142 | − | 0.909572i | −0.999571 | − | 0.0292786i | \(-0.990679\pi\) |
0.474430 | − | 0.880293i | \(-0.342654\pi\) | |||||||
\(6\) | −897.823 | −1.69692 | ||||||||
\(7\) | 420.880 | − | 803.992i | 0.463784 | − | 0.885948i | ||||
\(8\) | −1076.12 | −0.743095 | ||||||||
\(9\) | −1215.57 | − | 2105.43i | −0.555816 | − | 0.962701i | ||||
\(10\) | −1939.23 | + | 3358.84i | −0.613238 | + | 1.06216i | ||||
\(11\) | 2237.87 | − | 3876.11i | 0.506945 | − | 0.878054i | −0.493023 | − | 0.870016i | \(-0.664108\pi\) |
0.999968 | − | 0.00803796i | \(-0.00255859\pi\) | |||||||
\(12\) | 1581.63 | + | 2739.46i | 0.264223 | + | 0.457647i | ||||
\(13\) | −2197.00 | −0.277350 | ||||||||
\(14\) | −11979.2 | + | 495.475i | −1.16676 | + | 0.0482585i | ||||
\(15\) | −19949.6 | −1.52621 | ||||||||
\(16\) | 10087.7 | + | 17472.4i | 0.615705 | + | 1.06643i | ||||
\(17\) | 2573.70 | − | 4457.77i | 0.127053 | − | 0.220063i | −0.795480 | − | 0.605979i | \(-0.792781\pi\) |
0.922534 | + | 0.385917i | \(0.126115\pi\) | |||||||
\(18\) | −16059.7 | + | 27816.2i | −0.649058 | + | 1.12420i | ||||
\(19\) | 16189.5 | + | 28041.0i | 0.541496 | + | 0.937898i | 0.998818 | + | 0.0485971i | \(0.0154750\pi\) |
−0.457323 | + | 0.889301i | \(0.651192\pi\) | |||||||
\(20\) | 13664.8 | 0.381942 | ||||||||
\(21\) | −33016.0 | − | 52088.2i | −0.777959 | − | 1.22736i | ||||
\(22\) | −59132.0 | −1.18398 | ||||||||
\(23\) | −53248.4 | − | 92229.0i | −0.912556 | − | 1.58059i | −0.810441 | − | 0.585821i | \(-0.800772\pi\) |
−0.102115 | − | 0.994773i | \(-0.532561\pi\) | |||||||
\(24\) | −36564.8 | + | 63332.0i | −0.539912 | + | 0.935156i | ||||
\(25\) | −4027.15 | + | 6975.23i | −0.0515476 | + | 0.0892830i | ||||
\(26\) | 14513.0 | + | 25137.3i | 0.161939 | + | 0.280486i | ||||
\(27\) | −16590.8 | −0.162217 | ||||||||
\(28\) | 22614.7 | + | 35678.5i | 0.194688 | + | 0.307152i | ||||
\(29\) | −39835.4 | −0.303303 | −0.151651 | − | 0.988434i | \(-0.548459\pi\) | ||||
−0.151651 | + | 0.988434i | \(0.548459\pi\) | |||||||
\(30\) | 131784. | + | 228256.i | 0.891124 | + | 1.54347i | ||||
\(31\) | 103718. | − | 179645.i | 0.625301 | − | 1.08305i | −0.363182 | − | 0.931718i | \(-0.618310\pi\) |
0.988483 | − | 0.151334i | \(-0.0483570\pi\) | |||||||
\(32\) | 64404.0 | − | 111551.i | 0.347446 | − | 0.601795i | ||||
\(33\) | −152079. | − | 263408.i | −0.736665 | − | 1.27594i | ||||
\(34\) | −68005.6 | −0.296735 | ||||||||
\(35\) | −266179. | + | 11009.5i | −1.04939 | + | 0.0434038i | ||||
\(36\) | 113165. | 0.404252 | ||||||||
\(37\) | 224794. | + | 389354.i | 0.729589 | + | 1.26369i | 0.957057 | + | 0.289900i | \(0.0936219\pi\) |
−0.227468 | + | 0.973786i | \(0.573045\pi\) | |||||||
\(38\) | 213890. | − | 370468.i | 0.632335 | − | 1.09524i | ||||
\(39\) | −74650.6 | + | 129299.i | −0.201515 | + | 0.349034i | ||||
\(40\) | 157954. | + | 273584.i | 0.390230 | + | 0.675898i | ||||
\(41\) | 447578. | 1.01420 | 0.507102 | − | 0.861886i | \(-0.330717\pi\) | ||||
0.507102 | + | 0.861886i | \(0.330717\pi\) | |||||||
\(42\) | −377876. | + | 721843.i | −0.787004 | + | 1.50338i | ||||
\(43\) | 544147. | 1.04370 | 0.521851 | − | 0.853037i | \(-0.325242\pi\) | ||||
0.521851 | + | 0.853037i | \(0.325242\pi\) | |||||||
\(44\) | 104168. | + | 180425.i | 0.184354 | + | 0.319310i | ||||
\(45\) | −356846. | + | 618076.i | −0.583764 | + | 1.01111i | ||||
\(46\) | −703500. | + | 1.21850e6i | −1.06564 | + | 1.84575i | ||||
\(47\) | 516300. | + | 894257.i | 0.725369 | + | 1.25638i | 0.958822 | + | 0.284008i | \(0.0916644\pi\) |
−0.233452 | + | 0.972368i | \(0.575002\pi\) | |||||||
\(48\) | 1.37106e6 | 1.78942 | ||||||||
\(49\) | −469263. | − | 676769.i | −0.569809 | − | 0.821777i | ||||
\(50\) | 106411. | 0.120390 | ||||||||
\(51\) | −174900. | − | 302936.i | −0.184627 | − | 0.319783i | ||||
\(52\) | 51133.0 | − | 88564.9i | 0.0504300 | − | 0.0873474i | ||||
\(53\) | −430049. | + | 744868.i | −0.396783 | + | 0.687248i | −0.993327 | − | 0.115332i | \(-0.963207\pi\) |
0.596544 | + | 0.802580i | \(0.296540\pi\) | |||||||
\(54\) | 109596. | + | 189826.i | 0.0947148 | + | 0.164051i | ||||
\(55\) | −1.31391e6 | −1.06487 | ||||||||
\(56\) | −452916. | + | 865189.i | −0.344635 | + | 0.658344i | ||||
\(57\) | 2.20037e6 | 1.57374 | ||||||||
\(58\) | 263146. | + | 455782.i | 0.177092 | + | 0.306732i | ||||
\(59\) | 313033. | − | 542188.i | 0.198430 | − | 0.343691i | −0.749590 | − | 0.661903i | \(-0.769749\pi\) |
0.948020 | + | 0.318212i | \(0.103082\pi\) | |||||||
\(60\) | 464308. | − | 804204.i | 0.277509 | − | 0.480659i | ||||
\(61\) | 611179. | + | 1.05859e6i | 0.344758 | + | 0.597138i | 0.985310 | − | 0.170777i | \(-0.0546277\pi\) |
−0.640552 | + | 0.767915i | \(0.721294\pi\) | |||||||
\(62\) | −2.74058e6 | −1.46040 | ||||||||
\(63\) | −2.20436e6 | + | 91174.7i | −1.11068 | + | 0.0459391i | ||||
\(64\) | 880687. | 0.419944 | ||||||||
\(65\) | 322479. | + | 558550.i | 0.145648 | + | 0.252270i | ||||
\(66\) | −2.00921e6 | + | 3.48006e6i | −0.860245 | + | 1.48999i | ||||
\(67\) | 1.17620e6 | − | 2.03723e6i | 0.477769 | − | 0.827520i | −0.521906 | − | 0.853003i | \(-0.674779\pi\) |
0.999675 | + | 0.0254828i | \(0.00811232\pi\) | |||||||
\(68\) | 119800. | + | 207500.i | 0.0462037 | + | 0.0800272i | ||||
\(69\) | −7.23720e6 | −2.65215 | ||||||||
\(70\) | 1.88430e6 | + | 2.97279e6i | 0.656609 | + | 1.03591i | ||||
\(71\) | 4.87020e6 | 1.61489 | 0.807445 | − | 0.589943i | \(-0.200850\pi\) | ||||
0.807445 | + | 0.589943i | \(0.200850\pi\) | |||||||
\(72\) | 1.30809e6 | + | 2.26568e6i | 0.413024 | + | 0.715378i | ||||
\(73\) | −43486.3 | + | 75320.5i | −0.0130835 | + | 0.0226612i | −0.872493 | − | 0.488627i | \(-0.837498\pi\) |
0.859410 | + | 0.511288i | \(0.170831\pi\) | |||||||
\(74\) | 2.96990e6 | − | 5.14402e6i | 0.851982 | − | 1.47568i | ||||
\(75\) | 273673. | + | 474015.i | 0.0749061 | + | 0.129741i | ||||
\(76\) | −1.50717e6 | −0.393836 | ||||||||
\(77\) | −2.17448e6 | − | 3.43061e6i | −0.542798 | − | 0.856354i | ||||
\(78\) | 1.97252e6 | 0.470641 | ||||||||
\(79\) | 107141. | + | 185574.i | 0.0244490 | + | 0.0423469i | 0.877991 | − | 0.478677i | \(-0.158884\pi\) |
−0.853542 | + | 0.521024i | \(0.825550\pi\) | |||||||
\(80\) | 2.96138e6 | − | 5.12926e6i | 0.646665 | − | 1.12006i | ||||
\(81\) | 2.09472e6 | − | 3.62816e6i | 0.437954 | − | 0.758558i | ||||
\(82\) | −2.95663e6 | − | 5.12103e6i | −0.592172 | − | 1.02567i | ||||
\(83\) | −2.50406e6 | −0.480697 | −0.240348 | − | 0.970687i | \(-0.577262\pi\) | ||||
−0.240348 | + | 0.970687i | \(0.577262\pi\) | |||||||
\(84\) | 2.86818e6 | − | 118631.i | 0.527994 | − | 0.0218384i | ||||
\(85\) | −1.51108e6 | −0.266884 | ||||||||
\(86\) | −3.59454e6 | − | 6.22593e6i | −0.609395 | − | 1.05550i | ||||
\(87\) | −1.35355e6 | + | 2.34441e6i | −0.220372 | + | 0.381695i | ||||
\(88\) | −2.40821e6 | + | 4.17114e6i | −0.376708 | + | 0.652478i | ||||
\(89\) | 2.25116e6 | + | 3.89912e6i | 0.338486 | + | 0.586275i | 0.984148 | − | 0.177348i | \(-0.0567519\pi\) |
−0.645662 | + | 0.763623i | \(0.723419\pi\) | |||||||
\(90\) | 9.42906e6 | 1.36339 | ||||||||
\(91\) | −924674. | + | 1.76637e6i | −0.128630 | + | 0.245718i | ||||
\(92\) | 4.95722e6 | 0.663713 | ||||||||
\(93\) | −7.04836e6 | − | 1.22081e7i | −0.908653 | − | 1.57383i | ||||
\(94\) | 6.82117e6 | − | 1.18146e7i | 0.847055 | − | 1.46714i | ||||
\(95\) | 4.75263e6 | − | 8.23180e6i | 0.568724 | − | 0.985059i | ||||
\(96\) | −4.37669e6 | − | 7.58066e6i | −0.504890 | − | 0.874496i | ||||
\(97\) | −1.40497e7 | −1.56303 | −0.781515 | − | 0.623886i | \(-0.785553\pi\) | ||||
−0.781515 | + | 0.623886i | \(0.785553\pi\) | |||||||
\(98\) | −4.64347e6 | + | 9.83975e6i | −0.498369 | + | 1.05607i | ||||
\(99\) | −1.08811e7 | −1.12707 | ||||||||
\(100\) | −187456. | − | 324683.i | −0.0187456 | − | 0.0324683i | ||||
\(101\) | 1.36578e6 | − | 2.36560e6i | 0.131903 | − | 0.228463i | −0.792507 | − | 0.609863i | \(-0.791224\pi\) |
0.924410 | + | 0.381400i | \(0.124558\pi\) | |||||||
\(102\) | −2.31072e6 | + | 4.00229e6i | −0.215599 | + | 0.373429i | ||||
\(103\) | −1.91054e6 | − | 3.30915e6i | −0.172276 | − | 0.298391i | 0.766939 | − | 0.641720i | \(-0.221779\pi\) |
−0.939215 | + | 0.343329i | \(0.888446\pi\) | |||||||
\(104\) | 2.36423e6 | 0.206097 | ||||||||
\(105\) | −8.39641e6 | + | 1.60393e7i | −0.707833 | + | 1.35215i | ||||
\(106\) | 1.13633e7 | 0.926692 | ||||||||
\(107\) | −7.56596e6 | − | 1.31046e7i | −0.597064 | − | 1.03415i | −0.993252 | − | 0.115976i | \(-0.963000\pi\) |
0.396188 | − | 0.918169i | \(-0.370333\pi\) | |||||||
\(108\) | 386135. | − | 668806.i | 0.0294955 | − | 0.0510878i | ||||
\(109\) | −1.24017e7 | + | 2.14803e7i | −0.917250 | + | 1.58872i | −0.113678 | + | 0.993518i | \(0.536263\pi\) |
−0.803573 | + | 0.595207i | \(0.797070\pi\) | |||||||
\(110\) | 8.67949e6 | + | 1.50333e7i | 0.621756 | + | 1.07691i | ||||
\(111\) | 3.05526e7 | 2.12040 | ||||||||
\(112\) | 1.82934e7 | − | 756637.i | 1.23036 | − | 0.0508891i | ||||
\(113\) | −2.31386e7 | −1.50856 | −0.754280 | − | 0.656553i | \(-0.772014\pi\) | ||||
−0.754280 | + | 0.656553i | \(0.772014\pi\) | |||||||
\(114\) | −1.45353e7 | − | 2.51758e7i | −0.918875 | − | 1.59154i | ||||
\(115\) | −1.56318e7 | + | 2.70750e7i | −0.958442 | + | 1.66007i | ||||
\(116\) | 927130. | − | 1.60584e6i | 0.0551490 | − | 0.0955208i | ||||
\(117\) | 2.67060e6 | + | 4.62562e6i | 0.154156 | + | 0.267005i | ||||
\(118\) | −8.27136e6 | −0.463436 | ||||||||
\(119\) | −2.50079e6 | − | 3.94542e6i | −0.136039 | − | 0.214624i | ||||
\(120\) | 2.14681e7 | 1.13412 | ||||||||
\(121\) | −272554. | − | 472077.i | −0.0139863 | − | 0.0242250i | ||||
\(122\) | 8.07469e6 | − | 1.39858e7i | 0.402593 | − | 0.697312i | ||||
\(123\) | 1.52080e7 | − | 2.63411e7i | 0.736893 | − | 1.27634i | ||||
\(124\) | 4.82787e6 | + | 8.36212e6i | 0.227394 | + | 0.393859i | ||||
\(125\) | −2.05702e7 | −0.942004 | ||||||||
\(126\) | 1.56048e7 | + | 2.46191e7i | 0.694962 | + | 1.09642i | ||||
\(127\) | 2.44710e7 | 1.06008 | 0.530040 | − | 0.847973i | \(-0.322177\pi\) | ||||
0.530040 | + | 0.847973i | \(0.322177\pi\) | |||||||
\(128\) | −1.40614e7 | − | 2.43550e7i | −0.592643 | − | 1.02649i | ||||
\(129\) | 1.84893e7 | − | 3.20243e7i | 0.758325 | − | 1.31346i | ||||
\(130\) | 4.26048e6 | − | 7.37938e6i | 0.170082 | − | 0.294590i | ||||
\(131\) | −1.07122e7 | − | 1.85540e7i | −0.416321 | − | 0.721088i | 0.579246 | − | 0.815153i | \(-0.303347\pi\) |
−0.995566 | + | 0.0940648i | \(0.970014\pi\) | |||||||
\(132\) | 1.41579e7 | 0.535785 | ||||||||
\(133\) | 2.93585e7 | − | 1.21430e6i | 1.08207 | − | 0.0447555i | ||||
\(134\) | −3.10790e7 | −1.11584 | ||||||||
\(135\) | 2.43523e6 | + | 4.21794e6i | 0.0851867 | + | 0.147548i | ||||
\(136\) | −2.76960e6 | + | 4.79708e6i | −0.0944127 | + | 0.163528i | ||||
\(137\) | −1.11364e7 | + | 1.92888e7i | −0.370017 | + | 0.640889i | −0.989568 | − | 0.144068i | \(-0.953982\pi\) |
0.619550 | + | 0.784957i | \(0.287315\pi\) | |||||||
\(138\) | 4.78077e7 | + | 8.28053e7i | 1.54853 | + | 2.68214i | ||||
\(139\) | 3.48172e7 | 1.09962 | 0.549809 | − | 0.835290i | \(-0.314701\pi\) | ||||
0.549809 | + | 0.835290i | \(0.314701\pi\) | |||||||
\(140\) | 5.75123e6 | − | 1.09864e7i | 0.177138 | − | 0.338381i | ||||
\(141\) | 7.01722e7 | 2.10813 | ||||||||
\(142\) | −3.21717e7 | − | 5.57231e7i | −0.942899 | − | 1.63315i | ||||
\(143\) | −4.91660e6 | + | 8.51581e6i | −0.140601 | + | 0.243528i | ||||
\(144\) | 2.45246e7 | − | 4.24779e7i | 0.684437 | − | 1.18548i | ||||
\(145\) | 5.84711e6 | + | 1.01275e7i | 0.159277 | + | 0.275876i | ||||
\(146\) | 1.14905e6 | 0.0305566 | ||||||||
\(147\) | −5.57743e7 | + | 4.62168e6i | −1.44818 | + | 0.120002i | ||||
\(148\) | −2.09274e7 | −0.530639 | ||||||||
\(149\) | 1.02450e7 | + | 1.77449e7i | 0.253724 | + | 0.439463i | 0.964548 | − | 0.263907i | \(-0.0850112\pi\) |
−0.710824 | + | 0.703370i | \(0.751678\pi\) | |||||||
\(150\) | 3.61567e6 | − | 6.26253e6i | 0.0874721 | − | 0.151506i | ||||
\(151\) | −3.57506e7 | + | 6.19218e7i | −0.845013 | + | 1.46361i | 0.0405968 | + | 0.999176i | \(0.487074\pi\) |
−0.885610 | + | 0.464430i | \(0.846259\pi\) | |||||||
\(152\) | −1.74218e7 | − | 3.01754e7i | −0.402383 | − | 0.696947i | ||||
\(153\) | −1.25140e7 | −0.282473 | ||||||||
\(154\) | −2.48875e7 | + | 4.75416e7i | −0.549109 | + | 1.04894i | ||||
\(155\) | −6.08957e7 | −1.31349 | ||||||||
\(156\) | −3.47484e6 | − | 6.01859e6i | −0.0732822 | − | 0.126928i | ||||
\(157\) | −1.40633e7 | + | 2.43583e7i | −0.290026 | + | 0.502340i | −0.973816 | − | 0.227339i | \(-0.926997\pi\) |
0.683789 | + | 0.729680i | \(0.260331\pi\) | |||||||
\(158\) | 1.41551e6 | − | 2.45174e6i | 0.0285505 | − | 0.0494509i | ||||
\(159\) | 2.92248e7 | + | 5.06189e7i | 0.576583 | + | 0.998671i | ||||
\(160\) | −3.78133e7 | −0.729834 | ||||||||
\(161\) | −9.65626e7 | + | 3.99394e6i | −1.82355 | + | 0.0754243i | ||||
\(162\) | −5.53494e7 | −1.02285 | ||||||||
\(163\) | −2.63404e7 | − | 4.56230e7i | −0.476394 | − | 0.825138i | 0.523240 | − | 0.852185i | \(-0.324723\pi\) |
−0.999634 | + | 0.0270468i | \(0.991390\pi\) | |||||||
\(164\) | −1.04169e7 | + | 1.80427e7i | −0.184411 | + | 0.319409i | ||||
\(165\) | −4.46447e7 | + | 7.73269e7i | −0.773707 | + | 1.34010i | ||||
\(166\) | 1.65414e7 | + | 2.86505e7i | 0.280668 | + | 0.486132i | ||||
\(167\) | 6.34970e6 | 0.105498 | 0.0527491 | − | 0.998608i | \(-0.483202\pi\) | ||||
0.0527491 | + | 0.998608i | \(0.483202\pi\) | |||||||
\(168\) | 3.55290e7 | + | 5.60530e7i | 0.578097 | + | 0.912045i | ||||
\(169\) | 4.82681e6 | 0.0769231 | ||||||||
\(170\) | 9.98197e6 | + | 1.72893e7i | 0.155828 | + | 0.269902i | ||||
\(171\) | 3.93588e7 | − | 6.81715e7i | 0.601943 | − | 1.04260i | ||||
\(172\) | −1.26645e7 | + | 2.19355e7i | −0.189774 | + | 0.328699i | ||||
\(173\) | −1.56746e7 | − | 2.71493e7i | −0.230163 | − | 0.398655i | 0.727693 | − | 0.685903i | \(-0.240593\pi\) |
−0.957856 | + | 0.287249i | \(0.907259\pi\) | |||||||
\(174\) | 3.57652e7 | 0.514681 | ||||||||
\(175\) | 3.91308e6 | + | 6.17354e6i | 0.0551932 | + | 0.0870765i | ||||
\(176\) | 9.03000e7 | 1.24851 | ||||||||
\(177\) | −2.12727e7 | − | 3.68454e7i | −0.288348 | − | 0.499433i | ||||
\(178\) | 2.97415e7 | − | 5.15138e7i | 0.395269 | − | 0.684627i | ||||
\(179\) | 3.84196e7 | − | 6.65447e7i | 0.500688 | − | 0.867217i | −0.499311 | − | 0.866423i | \(-0.666414\pi\) |
1.00000 | 0.000794869i | \(-0.000253015\pi\) | ||||||||
\(180\) | −1.66105e7 | − | 2.87702e7i | −0.212289 | − | 0.367696i | ||||
\(181\) | −9.00686e7 | −1.12901 | −0.564506 | − | 0.825429i | \(-0.690933\pi\) | ||||
−0.564506 | + | 0.825429i | \(0.690933\pi\) | |||||||
\(182\) | 2.63184e7 | − | 1.08856e6i | 0.323601 | − | 0.0133845i | ||||
\(183\) | 8.30677e7 | 1.00197 | ||||||||
\(184\) | 5.73015e7 | + | 9.92491e7i | 0.678116 | + | 1.17453i | ||||
\(185\) | 6.59912e7 | − | 1.14300e8i | 0.766275 | − | 1.32723i | ||||
\(186\) | −9.31206e7 | + | 1.61290e8i | −1.06109 | + | 1.83785i | ||||
\(187\) | −1.15192e7 | − | 1.99518e7i | −0.128818 | − | 0.223119i | ||||
\(188\) | −4.80654e7 | −0.527570 | ||||||||
\(189\) | −6.98276e6 | + | 1.33389e7i | −0.0752334 | + | 0.143716i | ||||
\(190\) | −1.25580e8 | −1.32826 | ||||||||
\(191\) | −3.30056e6 | − | 5.71674e6i | −0.0342745 | − | 0.0593651i | 0.848379 | − | 0.529389i | \(-0.177579\pi\) |
−0.882654 | + | 0.470024i | \(0.844245\pi\) | |||||||
\(192\) | 2.99244e7 | − | 5.18305e7i | 0.305120 | − | 0.528483i | ||||
\(193\) | −3.42358e7 | + | 5.92982e7i | −0.342791 | + | 0.593732i | −0.984950 | − | 0.172840i | \(-0.944706\pi\) |
0.642159 | + | 0.766572i | \(0.278039\pi\) | |||||||
\(194\) | 9.28102e7 | + | 1.60752e8i | 0.912620 | + | 1.58070i | ||||
\(195\) | 4.38293e7 | 0.423296 | ||||||||
\(196\) | 3.82033e7 | − | 3.16568e6i | 0.362414 | − | 0.0300311i | ||||
\(197\) | 8.47324e7 | 0.789620 | 0.394810 | − | 0.918763i | \(-0.370810\pi\) | ||||
0.394810 | + | 0.918763i | \(0.370810\pi\) | |||||||
\(198\) | 7.18790e7 | + | 1.24498e8i | 0.658073 | + | 1.13982i | ||||
\(199\) | −6.21238e7 | + | 1.07602e8i | −0.558820 | + | 0.967905i | 0.438775 | + | 0.898597i | \(0.355413\pi\) |
−0.997595 | + | 0.0693084i | \(0.977921\pi\) | |||||||
\(200\) | 4.33369e6 | − | 7.50616e6i | 0.0383047 | − | 0.0663457i | ||||
\(201\) | −7.99306e7 | − | 1.38444e8i | −0.694268 | − | 1.20251i | ||||
\(202\) | −3.60885e7 | −0.308062 | ||||||||
\(203\) | −1.67659e7 | + | 3.20274e7i | −0.140667 | + | 0.268711i | ||||
\(204\) | 1.62825e7 | 0.134281 | ||||||||
\(205\) | −6.56963e7 | − | 1.13789e8i | −0.532601 | − | 0.922492i | ||||
\(206\) | −2.52414e7 | + | 4.37194e7i | −0.201177 | + | 0.348449i | ||||
\(207\) | −1.29454e8 | + | 2.24221e8i | −1.01443 | + | 1.75704i | ||||
\(208\) | −2.21627e7 | − | 3.83869e7i | −0.170766 | − | 0.295775i | ||||
\(209\) | 1.44920e8 | 1.09803 | ||||||||
\(210\) | 2.38982e8 | − | 9.88455e6i | 1.78072 | − | 0.0736528i | ||||
\(211\) | 7.77462e7 | 0.569759 | 0.284879 | − | 0.958563i | \(-0.408046\pi\) | ||||
0.284879 | + | 0.958563i | \(0.408046\pi\) | |||||||
\(212\) | −2.00179e7 | − | 3.46721e7i | −0.144293 | − | 0.249922i | ||||
\(213\) | 1.65482e8 | − | 2.86623e8i | 1.17333 | − | 2.03227i | ||||
\(214\) | −9.99589e7 | + | 1.73134e8i | −0.697226 | + | 1.20763i | ||||
\(215\) | −7.98707e7 | − | 1.38340e8i | −0.548091 | − | 0.949322i | ||||
\(216\) | 1.78537e7 | 0.120542 | ||||||||
\(217\) | −1.00780e8 | − | 1.58998e8i | −0.669525 | − | 1.05629i | ||||
\(218\) | 3.27694e8 | 2.14225 | ||||||||
\(219\) | 2.95519e6 | + | 5.11855e6i | 0.0190122 | + | 0.0329300i | ||||
\(220\) | 3.05800e7 | − | 5.29661e7i | 0.193624 | − | 0.335366i | ||||
\(221\) | −5.65441e6 | + | 9.79372e6i | −0.0352382 | + | 0.0610344i | ||||
\(222\) | −2.01825e8 | − | 3.49571e8i | −1.23805 | − | 2.14437i | ||||
\(223\) | 2.96625e8 | 1.79118 | 0.895592 | − | 0.444875i | \(-0.146752\pi\) | ||||
0.895592 | + | 0.444875i | \(0.146752\pi\) | |||||||
\(224\) | −6.25797e7 | − | 9.87299e7i | −0.372019 | − | 0.586922i | ||||
\(225\) | 1.95811e7 | 0.114604 | ||||||||
\(226\) | 1.52850e8 | + | 2.64743e8i | 0.880815 | + | 1.52562i | ||||
\(227\) | 2.05867e7 | − | 3.56572e7i | 0.116814 | − | 0.202328i | −0.801689 | − | 0.597741i | \(-0.796065\pi\) |
0.918504 | + | 0.395413i | \(0.129398\pi\) | |||||||
\(228\) | −5.12114e7 | + | 8.87008e7i | −0.286151 | + | 0.495628i | ||||
\(229\) | −1.44781e8 | − | 2.50768e8i | −0.796688 | − | 1.37990i | −0.921762 | − | 0.387756i | \(-0.873250\pi\) |
0.125074 | − | 0.992147i | \(-0.460083\pi\) | |||||||
\(230\) | 4.13044e8 | 2.23846 | ||||||||
\(231\) | −2.75785e8 | + | 1.14068e7i | −1.47207 | + | 0.0608866i | ||||
\(232\) | 4.28676e7 | 0.225383 | ||||||||
\(233\) | −1.38287e6 | − | 2.39520e6i | −0.00716201 | − | 0.0124050i | 0.862422 | − | 0.506190i | \(-0.168946\pi\) |
−0.869584 | + | 0.493785i | \(0.835613\pi\) | |||||||
\(234\) | 3.52831e7 | − | 6.11122e7i | 0.180016 | − | 0.311797i | ||||
\(235\) | 1.51567e8 | − | 2.62521e8i | 0.761843 | − | 1.31955i | ||||
\(236\) | 1.45710e7 | + | 2.52378e7i | 0.0721603 | + | 0.124985i | ||||
\(237\) | 1.45619e7 | 0.0710559 | ||||||||
\(238\) | −2.86222e7 | + | 5.46759e7i | −0.137621 | + | 0.262892i | ||||
\(239\) | 1.33579e8 | 0.632917 | 0.316459 | − | 0.948606i | \(-0.397506\pi\) | ||||
0.316459 | + | 0.948606i | \(0.397506\pi\) | |||||||
\(240\) | −2.01246e8 | − | 3.48569e8i | −0.939698 | − | 1.62760i | ||||
\(241\) | −1.00733e8 | + | 1.74475e8i | −0.463568 | + | 0.802923i | −0.999136 | − | 0.0415694i | \(-0.986764\pi\) |
0.535568 | + | 0.844492i | \(0.320098\pi\) | |||||||
\(242\) | −3.60089e6 | + | 6.23692e6i | −0.0163326 | + | 0.0282889i | ||||
\(243\) | −1.60493e8 | − | 2.77981e8i | −0.717518 | − | 1.24278i | ||||
\(244\) | −5.68983e7 | −0.250747 | ||||||||
\(245\) | −1.03178e8 | + | 2.18639e8i | −0.448235 | + | 0.949832i | ||||
\(246\) | −4.01846e8 | −1.72102 | ||||||||
\(247\) | −3.55683e7 | − | 6.16060e7i | −0.150184 | − | 0.260126i | ||||
\(248\) | −1.11613e8 | + | 1.93319e8i | −0.464658 | + | 0.804811i | ||||
\(249\) | −8.50840e7 | + | 1.47370e8i | −0.349261 | + | 0.604938i | ||||
\(250\) | 1.35883e8 | + | 2.35356e8i | 0.550016 | + | 0.952656i | ||||
\(251\) | 1.35582e8 | 0.541181 | 0.270590 | − | 0.962695i | \(-0.412781\pi\) | ||||
0.270590 | + | 0.962695i | \(0.412781\pi\) | |||||||
\(252\) | 4.76287e7 | − | 9.09834e7i | 0.187485 | − | 0.358146i | ||||
\(253\) | −4.76653e8 | −1.85046 | ||||||||
\(254\) | −1.61651e8 | − | 2.79988e8i | −0.618958 | − | 1.07207i | ||||
\(255\) | −5.13443e7 | + | 8.89309e7i | −0.193911 | + | 0.335863i | ||||
\(256\) | −1.29410e8 | + | 2.24145e8i | −0.482091 | + | 0.835006i | ||||
\(257\) | −2.31430e8 | − | 4.00849e8i | −0.850460 | − | 1.47304i | −0.880794 | − | 0.473500i | \(-0.842990\pi\) |
0.0303334 | − | 0.999540i | \(-0.490343\pi\) | |||||||
\(258\) | −4.88547e8 | −1.77108 | ||||||||
\(259\) | 4.07649e8 | − | 1.68608e7i | 1.45793 | − | 0.0603017i | ||||
\(260\) | −3.00215e7 | −0.105932 | ||||||||
\(261\) | 4.84227e7 | + | 8.38706e7i | 0.168581 | + | 0.291990i | ||||
\(262\) | −1.41526e8 | + | 2.45129e8i | −0.486161 | + | 0.842056i | ||||
\(263\) | 1.39272e8 | − | 2.41225e8i | 0.472082 | − | 0.817670i | −0.527408 | − | 0.849612i | \(-0.676836\pi\) |
0.999490 | + | 0.0319423i | \(0.0101693\pi\) | |||||||
\(264\) | 1.63654e8 | + | 2.83458e8i | 0.547412 | + | 0.948145i | ||||
\(265\) | 2.52493e8 | 0.833469 | ||||||||
\(266\) | −2.07831e8 | − | 3.27888e8i | −0.677057 | − | 1.06817i | ||||
\(267\) | 3.05963e8 | 0.983739 | ||||||||
\(268\) | 5.47495e7 | + | 9.48290e7i | 0.173744 | + | 0.300933i | ||||
\(269\) | −1.73001e8 | + | 2.99647e8i | −0.541896 | + | 0.938592i | 0.456899 | + | 0.889519i | \(0.348960\pi\) |
−0.998795 | + | 0.0490733i | \(0.984373\pi\) | |||||||
\(270\) | 3.21734e7 | − | 5.57260e7i | 0.0994773 | − | 0.172300i | ||||
\(271\) | 1.11580e8 | + | 1.93262e8i | 0.340561 | + | 0.589868i | 0.984537 | − | 0.175177i | \(-0.0560498\pi\) |
−0.643976 | + | 0.765045i | \(0.722717\pi\) | |||||||
\(272\) | 1.03851e8 | 0.312909 | ||||||||
\(273\) | 7.25361e7 | + | 1.14438e8i | 0.215767 | + | 0.340408i | ||||
\(274\) | 2.94260e8 | 0.864181 | ||||||||
\(275\) | 1.80245e7 | + | 3.12194e7i | 0.0522636 | + | 0.0905231i | ||||
\(276\) | 1.68438e8 | − | 2.91744e8i | 0.482236 | − | 0.835257i | ||||
\(277\) | −2.22423e8 | + | 3.85248e8i | −0.628783 | + | 1.08908i | 0.359013 | + | 0.933333i | \(0.383113\pi\) |
−0.987796 | + | 0.155752i | \(0.950220\pi\) | |||||||
\(278\) | −2.29996e8 | − | 3.98365e8i | −0.642043 | − | 1.11205i | ||||
\(279\) | −5.04306e8 | −1.39021 | ||||||||
\(280\) | 2.86439e8 | − | 1.18475e7i | 0.779794 | − | 0.0322532i | ||||
\(281\) | 4.00328e8 | 1.07633 | 0.538163 | − | 0.842841i | \(-0.319118\pi\) | ||||
0.538163 | + | 0.842841i | \(0.319118\pi\) | |||||||
\(282\) | −4.63546e8 | − | 8.02885e8i | −1.23089 | − | 2.13197i | ||||
\(283\) | 6.63755e7 | − | 1.14966e8i | 0.174083 | − | 0.301520i | −0.765761 | − | 0.643125i | \(-0.777637\pi\) |
0.939843 | + | 0.341606i | \(0.110971\pi\) | |||||||
\(284\) | −1.13349e8 | + | 1.96326e8i | −0.293632 | + | 0.508586i | ||||
\(285\) | −3.22974e8 | − | 5.59407e8i | −0.826438 | − | 1.43143i | ||||
\(286\) | 1.29913e8 | 0.328376 | ||||||||
\(287\) | 1.88377e8 | − | 3.59849e8i | 0.470372 | − | 0.898533i | ||||
\(288\) | −3.13150e8 | −0.772465 | ||||||||
\(289\) | 1.91922e8 | + | 3.32418e8i | 0.467715 | + | 0.810106i | ||||
\(290\) | 7.72500e7 | − | 1.33801e8i | 0.185997 | − | 0.322156i | ||||
\(291\) | −4.77388e8 | + | 8.26861e8i | −1.13565 | + | 1.96701i | ||||
\(292\) | −2.02420e6 | − | 3.50602e6i | −0.00475788 | − | 0.00824089i | ||||
\(293\) | −2.14142e8 | −0.497353 | −0.248677 | − | 0.968587i | \(-0.579996\pi\) | ||||
−0.248677 | + | 0.968587i | \(0.579996\pi\) | |||||||
\(294\) | 4.21315e8 | + | 6.07619e8i | 0.966921 | + | 1.39449i | ||||
\(295\) | −1.83790e8 | −0.416816 | ||||||||
\(296\) | −2.41904e8 | − | 4.18990e8i | −0.542154 | − | 0.939038i | ||||
\(297\) | −3.71282e7 | + | 6.43079e7i | −0.0822349 | + | 0.142435i | ||||
\(298\) | 1.35354e8 | − | 2.34440e8i | 0.296288 | − | 0.513186i | ||||
\(299\) | 1.16987e8 | + | 2.02627e8i | 0.253097 | + | 0.438378i | ||||
\(300\) | −2.54778e7 | −0.0544801 | ||||||||
\(301\) | 2.29021e8 | − | 4.37489e8i | 0.484052 | − | 0.924666i | ||||
\(302\) | 9.44648e8 | 1.97354 | ||||||||
\(303\) | −9.28142e7 | − | 1.60759e8i | −0.191675 | − | 0.331991i | ||||
\(304\) | −3.26629e8 | + | 5.65739e8i | −0.666803 | + | 1.15494i | ||||
\(305\) | 1.79420e8 | − | 3.10764e8i | 0.362093 | − | 0.627164i | ||||
\(306\) | 8.26655e7 | + | 1.43181e8i | 0.164930 | + | 0.285667i | ||||
\(307\) | 6.63004e7 | 0.130777 | 0.0653886 | − | 0.997860i | \(-0.479171\pi\) | ||||
0.0653886 | + | 0.997860i | \(0.479171\pi\) | |||||||
\(308\) | 1.88903e8 | − | 7.81323e6i | 0.368392 | − | 0.0152371i | ||||
\(309\) | −2.59669e8 | −0.500685 | ||||||||
\(310\) | 4.02266e8 | + | 6.96746e8i | 0.766916 | + | 1.32834i | ||||
\(311\) | 5.82161e7 | − | 1.00833e8i | 0.109744 | − | 0.190083i | −0.805922 | − | 0.592021i | \(-0.798330\pi\) |
0.915667 | + | 0.401939i | \(0.131664\pi\) | |||||||
\(312\) | 8.03328e7 | − | 1.39140e8i | 0.149745 | − | 0.259366i | ||||
\(313\) | 1.47892e8 | + | 2.56156e8i | 0.272608 | + | 0.472171i | 0.969529 | − | 0.244977i | \(-0.0787805\pi\) |
−0.696921 | + | 0.717148i | \(0.745447\pi\) | |||||||
\(314\) | 3.71598e8 | 0.677361 | ||||||||
\(315\) | 3.46738e8 | + | 5.47037e8i | 0.625050 | + | 0.986121i | ||||
\(316\) | −9.97440e6 | −0.0177821 | ||||||||
\(317\) | 3.63688e8 | + | 6.29926e8i | 0.641241 | + | 1.11066i | 0.985156 | + | 0.171661i | \(0.0549135\pi\) |
−0.343915 | + | 0.939001i | \(0.611753\pi\) | |||||||
\(318\) | 3.86108e8 | − | 6.68759e8i | 0.673309 | − | 1.16621i | ||||
\(319\) | −8.91466e7 | + | 1.54406e8i | −0.153758 | + | 0.266316i | ||||
\(320\) | −1.29269e8 | − | 2.23900e8i | −0.220530 | − | 0.381970i | ||||
\(321\) | −1.02832e9 | −1.73524 | ||||||||
\(322\) | 6.83573e8 | + | 1.07845e9i | 1.14101 | + | 1.80013i | ||||
\(323\) | 1.66667e8 | 0.275195 | ||||||||
\(324\) | 9.75049e7 | + | 1.68883e8i | 0.159264 | + | 0.275854i | ||||
\(325\) | 8.84766e6 | − | 1.53246e7i | 0.0142967 | − | 0.0247626i | ||||
\(326\) | −3.48001e8 | + | 6.02755e8i | −0.556312 | + | 0.963561i | ||||
\(327\) | 8.42780e8 | + | 1.45974e9i | 1.33290 | + | 2.30865i | ||||
\(328\) | −4.81646e8 | −0.753650 | ||||||||
\(329\) | 9.36276e8 | − | 3.87254e7i | 1.44950 | − | 0.0599530i | ||||
\(330\) | 1.17966e9 | 1.80700 | ||||||||
\(331\) | 3.54866e8 | + | 6.14647e8i | 0.537857 | + | 0.931596i | 0.999019 | + | 0.0442798i | \(0.0140993\pi\) |
−0.461162 | + | 0.887316i | \(0.652567\pi\) | |||||||
\(332\) | 5.82794e7 | − | 1.00943e8i | 0.0874041 | − | 0.151388i | ||||
\(333\) | 5.46505e8 | − | 9.46574e8i | 0.811034 | − | 1.40475i | ||||
\(334\) | −4.19450e7 | − | 7.26509e7i | −0.0615982 | − | 0.106691i | ||||
\(335\) | −6.90575e8 | −1.00359 | ||||||||
\(336\) | 5.77052e8 | − | 1.10232e9i | 0.829903 | − | 1.58533i | ||||
\(337\) | −8.52515e8 | −1.21338 | −0.606690 | − | 0.794938i | \(-0.707503\pi\) | ||||
−0.606690 | + | 0.794938i | \(0.707503\pi\) | |||||||
\(338\) | −3.18851e7 | − | 5.52266e7i | −0.0449137 | − | 0.0777929i | ||||
\(339\) | −7.86214e8 | + | 1.36176e9i | −1.09608 | + | 1.89846i | ||||
\(340\) | 3.51690e7 | − | 6.09144e7i | 0.0485270 | − | 0.0840512i | ||||
\(341\) | −4.64216e8 | − | 8.04046e8i | −0.633986 | − | 1.09810i | ||||
\(342\) | −1.03999e9 | −1.40585 | ||||||||
\(343\) | −7.41620e8 | + | 9.24447e7i | −0.992320 | + | 0.123695i | ||||
\(344\) | −5.85565e8 | −0.775569 | ||||||||
\(345\) | 1.06229e9 | + | 1.83993e9i | 1.39276 | + | 2.41232i | ||||
\(346\) | −2.07088e8 | + | 3.58687e8i | −0.268775 | + | 0.465532i | ||||
\(347\) | −5.50930e8 | + | 9.54239e8i | −0.707854 | + | 1.22604i | 0.257798 | + | 0.966199i | \(0.417003\pi\) |
−0.965652 | + | 0.259840i | \(0.916330\pi\) | |||||||
\(348\) | −6.30048e7 | − | 1.09128e8i | −0.0801395 | − | 0.138806i | ||||
\(349\) | −2.60359e8 | −0.327857 | −0.163928 | − | 0.986472i | \(-0.552417\pi\) | ||||
−0.163928 | + | 0.986472i | \(0.552417\pi\) | |||||||
\(350\) | 4.47862e7 | − | 8.55534e7i | 0.0558349 | − | 0.106659i | ||||
\(351\) | 3.64501e7 | 0.0449908 | ||||||||
\(352\) | −2.88256e8 | − | 4.99274e8i | −0.352272 | − | 0.610154i | ||||
\(353\) | 6.03663e8 | − | 1.04558e9i | 0.730438 | − | 1.26516i | −0.226259 | − | 0.974067i | \(-0.572649\pi\) |
0.956696 | − | 0.291088i | \(-0.0940172\pi\) | |||||||
\(354\) | −2.81048e8 | + | 4.86789e8i | −0.336720 | + | 0.583216i | ||||
\(355\) | −7.14856e8 | − | 1.23817e9i | −0.848046 | − | 1.46886i | ||||
\(356\) | −2.09574e8 | −0.246185 | ||||||||
\(357\) | −3.17170e8 | + | 1.31185e7i | −0.368938 | + | 0.0152597i | ||||
\(358\) | −1.01517e9 | −1.16936 | ||||||||
\(359\) | 5.80695e8 | + | 1.00579e9i | 0.662396 | + | 1.14730i | 0.979984 | + | 0.199075i | \(0.0637937\pi\) |
−0.317588 | + | 0.948229i | \(0.602873\pi\) | |||||||
\(360\) | 3.84008e8 | − | 6.65121e8i | 0.433792 | − | 0.751350i | ||||
\(361\) | −7.72618e7 | + | 1.33821e8i | −0.0864350 | + | 0.149710i | ||||
\(362\) | 5.94978e8 | + | 1.03053e9i | 0.659206 | + | 1.14178i | ||||
\(363\) | −3.70438e7 | −0.0406483 | ||||||||
\(364\) | −4.96846e7 | − | 7.83857e7i | −0.0539967 | − | 0.0851887i | ||||
\(365\) | 2.55320e7 | 0.0274827 | ||||||||
\(366\) | −5.48731e8 | − | 9.50430e8i | −0.585027 | − | 1.01330i | ||||
\(367\) | 4.01198e8 | − | 6.94895e8i | 0.423670 | − | 0.733818i | −0.572625 | − | 0.819817i | \(-0.694075\pi\) |
0.996295 | + | 0.0859996i | \(0.0274084\pi\) | |||||||
\(368\) | 1.07431e9 | − | 1.86076e9i | 1.12373 | − | 1.94636i | ||||
\(369\) | −5.44062e8 | − | 9.42344e8i | −0.563711 | − | 0.976376i | ||||
\(370\) | −1.74371e9 | −1.78965 | ||||||||
\(371\) | 4.17868e8 | + | 6.59256e8i | 0.424845 | + | 0.670264i | ||||
\(372\) | 6.56174e8 | 0.660874 | ||||||||
\(373\) | 7.45389e7 | + | 1.29105e8i | 0.0743707 | + | 0.128814i | 0.900812 | − | 0.434208i | \(-0.142972\pi\) |
−0.826442 | + | 0.563022i | \(0.809639\pi\) | |||||||
\(374\) | −1.52188e8 | + | 2.63597e8i | −0.150428 | + | 0.260549i | ||||
\(375\) | −6.98942e8 | + | 1.21060e9i | −0.684435 | + | 1.18548i | ||||
\(376\) | −5.55598e8 | − | 9.62325e8i | −0.539018 | − | 0.933607i | ||||
\(377\) | 8.75185e7 | 0.0841211 | ||||||||
\(378\) | 1.98746e8 | − | 8.22035e6i | 0.189268 | − | 0.00782833i | ||||
\(379\) | 1.03156e9 | 0.973321 | 0.486661 | − | 0.873591i | \(-0.338215\pi\) | ||||
0.486661 | + | 0.873591i | \(0.338215\pi\) | |||||||
\(380\) | 2.21225e8 | + | 3.83174e8i | 0.206820 | + | 0.358223i | ||||
\(381\) | 8.31486e8 | − | 1.44018e9i | 0.770225 | − | 1.33407i | ||||
\(382\) | −4.36059e7 | + | 7.55276e7i | −0.0400242 | + | 0.0693240i | ||||
\(383\) | −4.35337e8 | − | 7.54025e8i | −0.395940 | − | 0.685788i | 0.597281 | − | 0.802032i | \(-0.296248\pi\) |
−0.993221 | + | 0.116244i | \(0.962915\pi\) | |||||||
\(384\) | −1.91114e9 | −1.72239 | ||||||||
\(385\) | −5.53000e8 | + | 1.05638e9i | −0.493870 | + | 0.943421i | ||||
\(386\) | 9.04624e8 | 0.800594 | ||||||||
\(387\) | −6.61448e8 | − | 1.14566e9i | −0.580106 | − | 1.00477i | ||||
\(388\) | 3.26994e8 | − | 5.66370e8i | 0.284203 | − | 0.492254i | ||||
\(389\) | −4.45958e8 | + | 7.72423e8i | −0.384123 | + | 0.665321i | −0.991647 | − | 0.128980i | \(-0.958830\pi\) |
0.607524 | + | 0.794301i | \(0.292163\pi\) | |||||||
\(390\) | −2.89529e8 | − | 5.01479e8i | −0.247153 | − | 0.428082i | ||||
\(391\) | −5.48181e8 | −0.463773 | ||||||||
\(392\) | 5.04981e8 | + | 7.28282e8i | 0.423423 | + | 0.610658i | ||||
\(393\) | −1.45593e9 | −1.20995 | ||||||||
\(394\) | −5.59728e8 | − | 9.69478e8i | −0.461042 | − | 0.798548i | ||||
\(395\) | 3.14527e7 | − | 5.44776e7i | 0.0256784 | − | 0.0444763i | ||||
\(396\) | 2.53248e8 | − | 4.38638e8i | 0.204933 | − | 0.354955i | ||||
\(397\) | 6.46248e8 | + | 1.11933e9i | 0.518361 | + | 0.897827i | 0.999772 | + | 0.0213326i | \(0.00679089\pi\) |
−0.481412 | + | 0.876495i | \(0.659876\pi\) | |||||||
\(398\) | 1.64152e9 | 1.30513 | ||||||||
\(399\) | 9.26093e8 | − | 1.76908e9i | 0.729877 | − | 1.39426i | ||||
\(400\) | −1.62499e8 | −0.126952 | ||||||||
\(401\) | −6.05022e8 | − | 1.04793e9i | −0.468560 | − | 0.811571i | 0.530794 | − | 0.847501i | \(-0.321894\pi\) |
−0.999354 | + | 0.0359305i | \(0.988561\pi\) | |||||||
\(402\) | −1.05602e9 | + | 1.82907e9i | −0.810736 | + | 1.40424i | ||||
\(403\) | −2.27869e8 | + | 3.94680e8i | −0.173427 | + | 0.300385i | ||||
\(404\) | 6.35743e7 | + | 1.10114e8i | 0.0479675 | + | 0.0830821i | ||||
\(405\) | −1.22986e9 | −0.919951 | ||||||||
\(406\) | 4.77198e8 | − | 1.97375e7i | 0.353882 | − | 0.0146370i | ||||
\(407\) | 2.01224e9 | 1.47945 | ||||||||
\(408\) | 1.88213e8 | + | 3.25995e8i | 0.137195 | + | 0.237629i | ||||
\(409\) | 1.16180e9 | − | 2.01230e9i | 0.839652 | − | 1.45432i | −0.0505333 | − | 0.998722i | \(-0.516092\pi\) |
0.890186 | − | 0.455598i | \(-0.150575\pi\) | |||||||
\(410\) | −8.67957e8 | + | 1.50334e9i | −0.621949 | + | 1.07725i | ||||
\(411\) | 7.56794e8 | + | 1.31081e9i | 0.537689 | + | 0.931305i | ||||
\(412\) | 1.77864e8 | 0.125299 | ||||||||
\(413\) | −3.04166e8 | − | 4.79872e8i | −0.212464 | − | 0.335197i | ||||
\(414\) | 3.42061e9 | 2.36921 | ||||||||
\(415\) | 3.67550e8 | + | 6.36615e8i | 0.252434 | + | 0.437228i | ||||
\(416\) | −1.41496e8 | + | 2.45078e8i | −0.0963643 | + | 0.166908i | ||||
\(417\) | 1.18303e9 | − | 2.04907e9i | 0.798952 | − | 1.38383i | ||||
\(418\) | −9.57316e8 | − | 1.65812e9i | −0.641118 | − | 1.11045i | ||||
\(419\) | −8.49808e8 | −0.564380 | −0.282190 | − | 0.959359i | \(-0.591061\pi\) | ||||
−0.282190 | + | 0.959359i | \(0.591061\pi\) | |||||||
\(420\) | −4.51156e8 | − | 7.11773e8i | −0.297135 | − | 0.468780i | ||||
\(421\) | 3.38548e8 | 0.221122 | 0.110561 | − | 0.993869i | \(-0.464735\pi\) | ||||
0.110561 | + | 0.993869i | \(0.464735\pi\) | |||||||
\(422\) | −5.13579e8 | − | 8.89544e8i | −0.332670 | − | 0.576201i | ||||
\(423\) | 1.25520e9 | − | 2.17406e9i | 0.806343 | − | 1.39663i | ||||
\(424\) | 4.62783e8 | − | 8.01564e8i | 0.294847 | − | 0.510691i | ||||
\(425\) | 2.07293e7 | + | 3.59043e7i | 0.0130986 | + | 0.0226874i | ||||
\(426\) | −4.37258e9 | −2.74034 | ||||||||
\(427\) | 1.10833e9 | − | 4.58420e7i | 0.688927 | − | 0.0284948i | ||||
\(428\) | 7.04360e8 | 0.434252 | ||||||||
\(429\) | 3.34117e8 | + | 5.78708e8i | 0.204314 | + | 0.353882i | ||||
\(430\) | −1.05522e9 | + | 1.82770e9i | −0.640037 | + | 1.10858i | ||||
\(431\) | −5.74014e7 | + | 9.94221e7i | −0.0345344 | + | 0.0598153i | −0.882776 | − | 0.469794i | \(-0.844328\pi\) |
0.848242 | + | 0.529609i | \(0.177661\pi\) | |||||||
\(432\) | −1.67364e8 | − | 2.89882e8i | −0.0998776 | − | 0.172993i | ||||
\(433\) | 1.46767e9 | 0.868802 | 0.434401 | − | 0.900719i | \(-0.356960\pi\) | ||||
0.434401 | + | 0.900719i | \(0.356960\pi\) | |||||||
\(434\) | −1.15346e9 | + | 2.20340e9i | −0.677309 | + | 1.29384i | ||||
\(435\) | 7.94702e8 | 0.462905 | ||||||||
\(436\) | −5.77273e8 | − | 9.99867e8i | −0.333564 | − | 0.577749i | ||||
\(437\) | 1.72413e9 | − | 2.98628e9i | 0.988290 | − | 1.71177i | ||||
\(438\) | 3.90430e7 | − | 6.76245e7i | 0.0222016 | − | 0.0384543i | ||||
\(439\) | −8.82214e8 | − | 1.52804e9i | −0.497677 | − | 0.862003i | 0.502319 | − | 0.864682i | \(-0.332480\pi\) |
−0.999996 | + | 0.00267982i | \(0.999147\pi\) | |||||||
\(440\) | 1.41392e9 | 0.791301 | ||||||||
\(441\) | −8.54466e8 | + | 1.81066e9i | −0.474416 | + | 1.00531i | ||||
\(442\) | 1.49408e8 | 0.0822994 | ||||||||
\(443\) | −4.63885e8 | − | 8.03473e8i | −0.253511 | − | 0.439095i | 0.710979 | − | 0.703214i | \(-0.248252\pi\) |
−0.964490 | + | 0.264119i | \(0.914919\pi\) | |||||||
\(444\) | −7.11080e8 | + | 1.23163e9i | −0.385548 | + | 0.667788i | ||||
\(445\) | 6.60857e8 | − | 1.14464e9i | 0.355506 | − | 0.615755i | ||||
\(446\) | −1.95945e9 | − | 3.39387e9i | −1.04583 | − | 1.81144i | ||||
\(447\) | 1.39244e9 | 0.737395 | ||||||||
\(448\) | 3.70664e8 | − | 7.08065e8i | 0.194763 | − | 0.372049i | ||||
\(449\) | 2.52528e9 | 1.31658 | 0.658290 | − | 0.752765i | \(-0.271280\pi\) | ||||
0.658290 | + | 0.752765i | \(0.271280\pi\) | |||||||
\(450\) | −1.29350e8 | − | 2.24040e8i | −0.0669147 | − | 0.115900i | ||||
\(451\) | 1.00162e9 | − | 1.73486e9i | 0.514146 | − | 0.890527i | ||||
\(452\) | 5.38528e8 | − | 9.32757e8i | 0.274298 | − | 0.475099i | ||||
\(453\) | 2.42950e9 | + | 4.20801e9i | 1.22793 | + | 2.12683i | ||||
\(454\) | −5.43969e8 | −0.272822 | ||||||||
\(455\) | 5.84795e8 | − | 2.41878e7i | 0.291047 | − | 0.0120381i | ||||
\(456\) | −2.36786e9 | −1.16944 | ||||||||
\(457\) | 4.73249e8 | + | 8.19691e8i | 0.231944 | + | 0.401739i | 0.958380 | − | 0.285495i | \(-0.0921581\pi\) |
−0.726436 | + | 0.687234i | \(0.758825\pi\) | |||||||
\(458\) | −1.91280e9 | + | 3.31307e9i | −0.930338 | + | 1.61139i | ||||
\(459\) | −4.26998e7 | + | 7.39582e7i | −0.0206102 | + | 0.0356978i | ||||
\(460\) | −7.27628e8 | − | 1.26029e9i | −0.348543 | − | 0.603695i | ||||
\(461\) | 1.88125e9 | 0.894319 | 0.447160 | − | 0.894454i | \(-0.352436\pi\) | ||||
0.447160 | + | 0.894454i | \(0.352436\pi\) | |||||||
\(462\) | 1.95230e9 | + | 3.08008e9i | 0.921085 | + | 1.45317i | ||||
\(463\) | −3.61479e9 | −1.69258 | −0.846291 | − | 0.532721i | \(-0.821170\pi\) | ||||
−0.846291 | + | 0.532721i | \(0.821170\pi\) | |||||||
\(464\) | −4.01848e8 | − | 6.96022e8i | −0.186745 | − | 0.323452i | ||||
\(465\) | −2.06914e9 | + | 3.58386e9i | −0.954343 | + | 1.65297i | ||||
\(466\) | −1.82700e7 | + | 3.16445e7i | −0.00836348 | + | 0.0144860i | ||||
\(467\) | 2.04845e8 | + | 3.54802e8i | 0.0930714 | + | 0.161204i | 0.908802 | − | 0.417228i | \(-0.136998\pi\) |
−0.815731 | + | 0.578432i | \(0.803665\pi\) | |||||||
\(468\) | −2.48623e8 | −0.112119 | ||||||||
\(469\) | −1.14288e9 | − | 1.80308e9i | −0.511559 | − | 0.807069i | ||||
\(470\) | −4.00489e9 | −1.77930 | ||||||||
\(471\) | 9.55696e8 | + | 1.65531e9i | 0.421450 | + | 0.729974i | ||||
\(472\) | −3.36859e8 | + | 5.83458e8i | −0.147452 | + | 0.255395i | ||||
\(473\) | 1.21773e9 | − | 2.10917e9i | 0.529099 | − | 0.916427i | ||||
\(474\) | −9.61937e7 | − | 1.66612e8i | −0.0414880 | − | 0.0718593i | ||||
\(475\) | −2.60790e8 | −0.111651 | ||||||||
\(476\) | 2.17250e8 | − | 8.98572e6i | 0.0923285 | − | 0.00381881i | ||||
\(477\) | 2.09102e9 | 0.882153 | ||||||||
\(478\) | −8.82403e8 | − | 1.52837e9i | −0.369547 | − | 0.640074i | ||||
\(479\) | 1.01615e9 | − | 1.76003e9i | 0.422459 | − | 0.731720i | −0.573720 | − | 0.819051i | \(-0.694500\pi\) |
0.996179 | + | 0.0873309i | \(0.0278337\pi\) | |||||||
\(480\) | −1.28484e9 | + | 2.22540e9i | −0.530278 | + | 0.918468i | ||||
\(481\) | −4.93872e8 | − | 8.55411e8i | −0.202352 | − | 0.350483i | ||||
\(482\) | 2.66171e9 | 1.08267 | ||||||||
\(483\) | −3.04599e9 | + | 5.81865e9i | −1.23003 | + | 2.34967i | ||||
\(484\) | 2.53737e7 | 0.0101724 | ||||||||
\(485\) | 2.06224e9 | + | 3.57191e9i | 0.820812 | + | 1.42169i | ||||
\(486\) | −2.12037e9 | + | 3.67260e9i | −0.837887 | + | 1.45126i | ||||
\(487\) | 1.12049e9 | − | 1.94075e9i | 0.439599 | − | 0.761409i | −0.558059 | − | 0.829801i | \(-0.688454\pi\) |
0.997658 | + | 0.0683927i | \(0.0217871\pi\) | |||||||
\(488\) | −6.57700e8 | − | 1.13917e9i | −0.256188 | − | 0.443730i | ||||
\(489\) | −3.58003e9 | −1.38454 | ||||||||
\(490\) | 3.18317e9 | − | 2.63770e8i | 1.22229 | − | 0.101284i | ||||
\(491\) | −1.52738e9 | −0.582320 | −0.291160 | − | 0.956674i | \(-0.594041\pi\) | ||||
−0.291160 | + | 0.956674i | \(0.594041\pi\) | |||||||
\(492\) | 7.07902e8 | + | 1.22612e9i | 0.267976 | + | 0.464148i | ||||
\(493\) | −1.02524e8 | + | 1.77577e8i | −0.0385356 | + | 0.0667457i | ||||
\(494\) | −4.69916e8 | + | 8.13918e8i | −0.175378 | + | 0.303764i | ||||
\(495\) | 1.59715e9 | + | 2.76635e9i | 0.591872 | + | 1.02515i | ||||
\(496\) | 4.18512e9 | 1.54000 | ||||||||
\(497\) | 2.04977e9 | − | 3.91560e9i | 0.748959 | − | 1.43071i | ||||
\(498\) | 2.24820e9 | 0.815704 | ||||||||
\(499\) | −1.76647e9 | − | 3.05961e9i | −0.636434 | − | 1.10234i | −0.986209 | − | 0.165503i | \(-0.947075\pi\) |
0.349775 | − | 0.936834i | \(-0.386258\pi\) | |||||||
\(500\) | 4.78750e8 | − | 8.29219e8i | 0.171283 | − | 0.296671i | ||||
\(501\) | 2.15753e8 | − | 3.73695e8i | 0.0766522 | − | 0.132765i | ||||
\(502\) | −8.95628e8 | − | 1.55127e9i | −0.315984 | − | 0.547300i | ||||
\(503\) | −2.26909e9 | −0.794993 | −0.397497 | − | 0.917604i | \(-0.630121\pi\) | ||||
−0.397497 | + | 0.917604i | \(0.630121\pi\) | |||||||
\(504\) | 2.37214e9 | − | 9.81146e7i | 0.825342 | − | 0.0341371i | ||||
\(505\) | −8.01886e8 | −0.277072 | ||||||||
\(506\) | 3.14869e9 | + | 5.45369e9i | 1.08045 | + | 1.87139i | ||||
\(507\) | 1.64007e8 | − | 2.84069e8i | 0.0558902 | − | 0.0968047i | ||||
\(508\) | −5.69538e8 | + | 9.86468e8i | −0.192752 | + | 0.333857i | ||||
\(509\) | 2.56497e9 | + | 4.44265e9i | 0.862123 | + | 1.49324i | 0.869875 | + | 0.493271i | \(0.164199\pi\) |
−0.00775208 | + | 0.999970i | \(0.502468\pi\) | |||||||
\(510\) | 1.35669e9 | 0.452881 | ||||||||
\(511\) | 4.22545e7 | + | 6.66635e7i | 0.0140088 | + | 0.0221012i | ||||
\(512\) | −1.80266e8 | −0.0593564 | ||||||||
\(513\) | −2.68597e8 | − | 4.65223e8i | −0.0878396 | − | 0.152143i | ||||
\(514\) | −3.05758e9 | + | 5.29588e9i | −0.993131 | + | 1.72015i | ||||
\(515\) | −5.60864e8 | + | 9.71445e8i | −0.180939 | + | 0.313396i | ||||
\(516\) | 8.60637e8 | + | 1.49067e9i | 0.275770 | + | 0.477647i | ||||
\(517\) | 4.62165e9 | 1.47089 | ||||||||
\(518\) | −2.88577e9 | − | 4.55279e9i | −0.912238 | − | 1.43921i | ||||
\(519\) | −2.13040e9 | −0.668922 | ||||||||
\(520\) | −3.47025e8 | − | 6.01065e8i | −0.108230 | − | 0.187460i | ||||
\(521\) | 8.64358e7 | − | 1.49711e8i | 0.0267770 | − | 0.0463791i | −0.852326 | − | 0.523010i | \(-0.824809\pi\) |
0.879103 | + | 0.476631i | \(0.158142\pi\) | |||||||
\(522\) | 6.39745e8 | − | 1.10807e9i | 0.196861 | − | 0.340973i | ||||
\(523\) | −2.95225e9 | − | 5.11344e9i | −0.902395 | − | 1.56299i | −0.824377 | − | 0.566041i | \(-0.808474\pi\) |
−0.0780179 | − | 0.996952i | \(-0.524859\pi\) | |||||||
\(524\) | 9.97260e8 | 0.302795 | ||||||||
\(525\) | 4.96288e8 | − | 2.05270e7i | 0.149684 | − | 0.00619111i | ||||
\(526\) | −3.68002e9 | −1.10255 | ||||||||
\(527\) | −5.33878e8 | − | 9.24704e8i | −0.158893 | − | 0.275211i | ||||
\(528\) | 3.06825e9 | − | 5.31437e9i | 0.907136 | − | 1.57121i | ||||
\(529\) | −3.96838e9 | + | 6.87344e9i | −1.16552 | + | 2.01873i | ||||
\(530\) | −1.66793e9 | − | 2.88894e9i | −0.486644 | − | 0.842893i | ||||
\(531\) | −1.52205e9 | −0.441162 | ||||||||
\(532\) | −6.34340e8 | + | 1.21176e9i | −0.182655 | + | 0.348919i | ||||
\(533\) | −9.83330e8 | −0.281290 | ||||||||
\(534\) | −2.02114e9 | − | 3.50072e9i | −0.574384 | − | 0.994862i | ||||
\(535\) | −2.22109e9 | + | 3.84704e9i | −0.627086 | + | 1.08615i | ||||
\(536\) | −1.26572e9 | + | 2.19230e9i | −0.355028 | + | 0.614926i | ||||
\(537\) | −2.61088e9 | − | 4.52217e9i | −0.727573 | − | 1.26019i | ||||
\(538\) | 4.57127e9 | 1.26561 | ||||||||
\(539\) | −3.67338e9 | + | 3.04391e8i | −1.01043 | + | 0.0837281i | ||||
\(540\) | −2.26710e8 | −0.0619573 | ||||||||
\(541\) | −1.06599e9 | − | 1.84635e9i | −0.289444 | − | 0.501331i | 0.684233 | − | 0.729263i | \(-0.260137\pi\) |
−0.973677 | + | 0.227932i | \(0.926804\pi\) | |||||||
\(542\) | 1.47416e9 | − | 2.55332e9i | 0.397692 | − | 0.688823i | ||||
\(543\) | −3.06039e9 | + | 5.30075e9i | −0.820309 | + | 1.42082i | ||||
\(544\) | −3.31513e8 | − | 5.74197e8i | −0.0882884 | − | 0.152920i | ||||
\(545\) | 7.28135e9 | 1.92675 | ||||||||
\(546\) | 8.30194e8 | − | 1.58589e9i | 0.218276 | − | 0.416964i | ||||
\(547\) | 1.81445e9 | 0.474013 | 0.237006 | − | 0.971508i | \(-0.423834\pi\) | ||||
0.237006 | + | 0.971508i | \(0.423834\pi\) | |||||||
\(548\) | −5.18376e8 | − | 8.97854e8i | −0.134559 | − | 0.233063i | ||||
\(549\) | 1.48586e9 | − | 2.57359e9i | 0.383244 | − | 0.663798i | ||||
\(550\) | 2.38134e8 | − | 4.12460e8i | 0.0610311 | − | 0.105709i | ||||
\(551\) | −6.44914e8 | − | 1.11702e9i | −0.164237 | − | 0.284467i | ||||
\(552\) | 7.78807e9 | 1.97080 | ||||||||
\(553\) | 1.94293e8 | − | 8.03620e6i | 0.0488562 | − | 0.00202075i | ||||
\(554\) | 5.87716e9 | 1.46853 | ||||||||
\(555\) | −4.48455e9 | − | 7.76747e9i | −1.11351 | − | 1.92865i | ||||
\(556\) | −8.10335e8 | + | 1.40354e9i | −0.199941 | + | 0.346309i | ||||
\(557\) | −1.13993e9 | + | 1.97442e9i | −0.279503 | + | 0.484113i | −0.971261 | − | 0.238016i | \(-0.923503\pi\) |
0.691758 | + | 0.722129i | \(0.256836\pi\) | |||||||
\(558\) | 3.33136e9 | + | 5.77009e9i | 0.811712 | + | 1.40593i | ||||
\(559\) | −1.19549e9 | −0.289471 | ||||||||
\(560\) | −2.87750e9 | − | 4.53973e9i | −0.692400 | − | 1.09238i | ||||
\(561\) | −1.56562e9 | −0.374383 | ||||||||
\(562\) | −2.64450e9 | − | 4.58041e9i | −0.628444 | − | 1.08850i | ||||
\(563\) | 7.89537e8 | − | 1.36752e9i | 0.186463 | − | 0.322964i | −0.757605 | − | 0.652713i | \(-0.773631\pi\) |
0.944069 | + | 0.329749i | \(0.106964\pi\) | |||||||
\(564\) | −1.63319e9 | + | 2.82876e9i | −0.383318 | + | 0.663926i | ||||
\(565\) | 3.39632e9 | + | 5.88260e9i | 0.792208 | + | 1.37214i | ||||
\(566\) | −1.75386e9 | −0.406572 | ||||||||
\(567\) | −2.03538e9 | − | 3.21116e9i | −0.468927 | − | 0.739811i | ||||
\(568\) | −5.24090e9 | −1.20002 | ||||||||
\(569\) | 2.94169e9 | + | 5.09516e9i | 0.669429 | + | 1.15948i | 0.978064 | + | 0.208304i | \(0.0667943\pi\) |
−0.308636 | + | 0.951180i | \(0.599872\pi\) | |||||||
\(570\) | −4.26702e9 | + | 7.39070e9i | −0.965079 | + | 1.67157i | ||||
\(571\) | −4.03802e9 | + | 6.99406e9i | −0.907700 | + | 1.57218i | −0.0904476 | + | 0.995901i | \(0.528830\pi\) |
−0.817252 | + | 0.576281i | \(0.804504\pi\) | |||||||
\(572\) | −2.28858e8 | − | 3.96394e8i | −0.0511305 | − | 0.0885606i | ||||
\(573\) | −4.48591e8 | −0.0996116 | ||||||||
\(574\) | −5.36165e9 | + | 2.21764e8i | −1.18333 | + | 0.0489440i | ||||
\(575\) | 8.57759e8 | 0.188160 | ||||||||
\(576\) | −1.07054e9 | − | 1.85422e9i | −0.233412 | − | 0.404281i | ||||
\(577\) | 3.27424e9 | − | 5.67115e9i | 0.709570 | − | 1.22901i | −0.255447 | − | 0.966823i | \(-0.582223\pi\) |
0.965017 | − | 0.262188i | \(-0.0844440\pi\) | |||||||
\(578\) | 2.53560e9 | − | 4.39179e9i | 0.546177 | − | 0.946007i | ||||
\(579\) | 2.32656e9 | + | 4.02972e9i | 0.498126 | + | 0.862779i | ||||
\(580\) | −5.44342e8 | −0.115844 | ||||||||
\(581\) | −1.05391e9 | + | 2.01324e9i | −0.222939 | + | 0.425872i | ||||
\(582\) | 1.26142e10 | 2.65234 | ||||||||
\(583\) | 1.92479e9 | + | 3.33384e9i | 0.402294 | + | 0.696794i | ||||
\(584\) | 4.67963e7 | − | 8.10536e7i | 0.00972225 | − | 0.0168394i | ||||
\(585\) | 7.83991e8 | − | 1.35791e9i | 0.161907 | − | 0.280431i | ||||
\(586\) | 1.41459e9 | + | 2.45013e9i | 0.290394 | + | 0.502977i | ||||
\(587\) | −4.22714e9 | −0.862608 | −0.431304 | − | 0.902207i | \(-0.641946\pi\) | ||||
−0.431304 | + | 0.902207i | \(0.641946\pi\) | |||||||
\(588\) | 1.11178e9 | − | 2.35592e9i | 0.225527 | − | 0.477904i | ||||
\(589\) | 6.71657e9 | 1.35439 | ||||||||
\(590\) | 1.21408e9 | + | 2.10285e9i | 0.243370 | + | 0.421529i | ||||
\(591\) | 2.87908e9 | − | 4.98671e9i | 0.573716 | − | 0.993705i | ||||
\(592\) | −4.53531e9 | + | 7.85539e9i | −0.898423 | + | 1.55611i | ||||
\(593\) | 4.01690e9 | + | 6.95748e9i | 0.791042 | + | 1.37013i | 0.925322 | + | 0.379182i | \(0.123795\pi\) |
−0.134280 | + | 0.990943i | \(0.542872\pi\) | |||||||
\(594\) | 9.81050e8 | 0.192061 | ||||||||
\(595\) | −6.35985e8 | + | 1.21490e9i | −0.123776 | + | 0.236445i | ||||
\(596\) | −9.53771e8 | −0.184536 | ||||||||
\(597\) | 4.22174e9 | + | 7.31227e9i | 0.812047 | + | 1.40651i | ||||
\(598\) | 1.54559e9 | − | 2.67704e9i | 0.295556 | − | 0.511919i | ||||
\(599\) | −1.49634e9 | + | 2.59173e9i | −0.284469 | + | 0.492715i | −0.972480 | − | 0.232985i | \(-0.925151\pi\) |
0.688011 | + | 0.725700i | \(0.258484\pi\) | |||||||
\(600\) | −2.94504e8 | − | 5.10095e8i | −0.0556623 | − | 0.0964100i | ||||
\(601\) | 2.98025e9 | 0.560005 | 0.280002 | − | 0.959999i | \(-0.409665\pi\) | ||||
0.280002 | + | 0.959999i | \(0.409665\pi\) | |||||||
\(602\) | −6.51846e9 | + | 2.69611e8i | −1.21775 | + | 0.0503675i | ||||
\(603\) | −5.71899e9 | −1.06221 | ||||||||
\(604\) | −1.66412e9 | − | 2.88233e9i | −0.307294 | − | 0.532249i | ||||
\(605\) | −8.00118e7 | + | 1.38584e8i | −0.0146896 | + | 0.0254431i | ||||
\(606\) | −1.22623e9 | + | 2.12389e9i | −0.223830 | + | 0.387684i | ||||
\(607\) | −3.33539e9 | − | 5.77706e9i | −0.605321 | − | 1.04845i | −0.992001 | − | 0.126233i | \(-0.959711\pi\) |
0.386680 | − | 0.922214i | \(-0.373622\pi\) | |||||||
\(608\) | 4.17067e9 | 0.752563 | ||||||||
\(609\) | 1.31521e9 | + | 2.07496e9i | 0.235957 | + | 0.372262i | ||||
\(610\) | −4.74086e9 | −0.845674 | ||||||||
\(611\) | −1.13431e9 | − | 1.96468e9i | −0.201181 | − | 0.348456i | ||||
\(612\) | 2.91251e8 | − | 5.04462e8i | 0.0513615 | − | 0.0889607i | ||||
\(613\) | 4.31494e9 | − | 7.47370e9i | 0.756595 | − | 1.31046i | −0.187983 | − | 0.982172i | \(-0.560195\pi\) |
0.944578 | − | 0.328288i | \(-0.106472\pi\) | |||||||
\(614\) | −4.37969e8 | − | 7.58585e8i | −0.0763580 | − | 0.132256i | ||||
\(615\) | −8.92902e9 | −1.54789 | ||||||||
\(616\) | 2.34000e9 | + | 3.69173e9i | 0.403351 | + | 0.636353i | ||||
\(617\) | −9.50443e9 | −1.62903 | −0.814513 | − | 0.580146i | \(-0.802996\pi\) | ||||
−0.814513 | + | 0.580146i | \(0.802996\pi\) | |||||||
\(618\) | 1.71533e9 | + | 2.97103e9i | 0.292339 | + | 0.506347i | ||||
\(619\) | −1.07843e9 | + | 1.86789e9i | −0.182756 | + | 0.316543i | −0.942818 | − | 0.333307i | \(-0.891835\pi\) |
0.760062 | + | 0.649851i | \(0.225169\pi\) | |||||||
\(620\) | 1.41729e9 | − | 2.45481e9i | 0.238829 | − | 0.413663i | ||||
\(621\) | 8.83436e8 | + | 1.53016e9i | 0.148032 | + | 0.256398i | ||||
\(622\) | −1.53826e9 | −0.256309 | ||||||||
\(623\) | 4.08233e9 | − | 1.68850e8i | 0.676394 | − | 0.0279764i | ||||
\(624\) | −3.01222e9 | −0.496295 | ||||||||
\(625\) | 3.33394e9 | + | 5.77456e9i | 0.546233 | + | 0.946104i | ||||
\(626\) | 1.95389e9 | − | 3.38424e9i | 0.318340 | − | 0.551381i | ||||
\(627\) | 4.92415e9 | − | 8.52888e9i | 0.797801 | − | 1.38183i | ||||
\(628\) | −6.54617e8 | − | 1.13383e9i | −0.105470 | − | 0.182679i | ||||
\(629\) | 2.31420e9 | 0.370787 | ||||||||
\(630\) | 3.96851e9 | − | 7.58089e9i | 0.632317 | − | 1.20789i | ||||
\(631\) | 1.79820e9 | 0.284928 | 0.142464 | − | 0.989800i | \(-0.454498\pi\) | ||||
0.142464 | + | 0.989800i | \(0.454498\pi\) | |||||||
\(632\) | −1.15296e8 | − | 1.99699e8i | −0.0181679 | − | 0.0314678i | ||||
\(633\) | 2.64170e9 | − | 4.57555e9i | 0.413971 | − | 0.717019i | ||||
\(634\) | 4.80492e9 | − | 8.32237e9i | 0.748814 | − | 1.29698i | ||||
\(635\) | −3.59189e9 | − | 6.22134e9i | −0.556692 | − | 0.964219i | ||||
\(636\) | −2.72071e9 | −0.419356 | ||||||||
\(637\) | 1.03097e9 | + | 1.48686e9i | 0.158037 | + | 0.227920i | ||||
\(638\) | 2.35555e9 | 0.359104 | ||||||||
\(639\) | −5.92007e9 | − | 1.02539e10i | −0.897581 | − | 1.55466i | ||||
\(640\) | −4.12790e9 | + | 7.14974e9i | −0.622443 | + | 1.07810i | ||||
\(641\) | −7.88963e8 | + | 1.36652e9i | −0.118319 | + | 0.204934i | −0.919102 | − | 0.394021i | \(-0.871084\pi\) |
0.800783 | + | 0.598955i | \(0.204417\pi\) | |||||||
\(642\) | 6.79290e9 | + | 1.17656e10i | 1.01317 | + | 1.75486i | ||||
\(643\) | 6.35442e9 | 0.942622 | 0.471311 | − | 0.881967i | \(-0.343781\pi\) | ||||
0.471311 | + | 0.881967i | \(0.343781\pi\) | |||||||
\(644\) | 2.08639e9 | − | 3.98556e9i | 0.307819 | − | 0.588016i | ||||
\(645\) | −1.08555e10 | −1.59291 | ||||||||
\(646\) | −1.10097e9 | − | 1.90694e9i | −0.160681 | − | 0.278307i | ||||
\(647\) | 4.45097e9 | − | 7.70930e9i | 0.646084 | − | 1.11905i | −0.337965 | − | 0.941159i | \(-0.609739\pi\) |
0.984050 | − | 0.177893i | \(-0.0569280\pi\) | |||||||
\(648\) | −2.25416e9 | + | 3.90432e9i | −0.325441 | + | 0.563680i | ||||
\(649\) | −1.40105e9 | − | 2.42670e9i | −0.201186 | − | 0.348465i | ||||
\(650\) | −2.33784e8 | −0.0333902 | ||||||||
\(651\) | −1.27817e10 | + | 5.28668e8i | −1.81575 | + | 0.0751017i | ||||
\(652\) | 2.45219e9 | 0.346487 | ||||||||
\(653\) | −6.88746e9 | − | 1.19294e10i | −0.967973 | − | 1.67658i | −0.701406 | − | 0.712762i | \(-0.747444\pi\) |
−0.266567 | − | 0.963816i | \(-0.585889\pi\) | |||||||
\(654\) | 1.11345e10 | − | 1.92856e10i | 1.55650 | − | 2.69594i | ||||
\(655\) | −3.14470e9 | + | 5.44678e9i | −0.437255 | + | 0.757347i | ||||
\(656\) | 4.51504e9 | + | 7.82028e9i | 0.624451 | + | 1.08158i | ||||
\(657\) | 2.11442e8 | 0.0290880 | ||||||||
\(658\) | −6.62796e9 | − | 1.04567e10i | −0.906962 | − | 1.43088i | ||||
\(659\) | 1.12808e10 | 1.53547 | 0.767735 | − | 0.640767i | \(-0.221384\pi\) | ||||
0.767735 | + | 0.640767i | \(0.221384\pi\) | |||||||
\(660\) | −2.07812e9 | − | 3.59941e9i | −0.281363 | − | 0.487335i | ||||
\(661\) | −3.31722e9 | + | 5.74559e9i | −0.446754 | + | 0.773801i | −0.998173 | − | 0.0604279i | \(-0.980753\pi\) |
0.551418 | + | 0.834229i | \(0.314087\pi\) | |||||||
\(662\) | 4.68837e9 | − | 8.12050e9i | 0.628086 | − | 1.08788i | ||||
\(663\) | 3.84256e8 | + | 6.65551e8i | 0.0512063 | + | 0.0886919i | ||||
\(664\) | 2.69466e9 | 0.357203 | ||||||||
\(665\) | −4.61801e9 | − | 7.28568e9i | −0.608946 | − | 0.960714i | ||||
\(666\) | −1.44405e10 | −1.89418 | ||||||||
\(667\) | 2.12117e9 | + | 3.67398e9i | 0.276781 | + | 0.479399i | ||||
\(668\) | −1.47783e8 | + | 2.55967e8i | −0.0191825 | + | 0.0332251i | ||||
\(669\) | 1.00788e10 | − | 1.74571e10i | 1.30143 | − | 2.25414i | ||||
\(670\) | 4.56182e9 | + | 7.90131e9i | 0.585972 | + | 1.01493i | ||||
\(671\) | 5.47096e9 | 0.699093 | ||||||||
\(672\) | −7.93685e9 | + | 3.28277e8i | −1.00892 | + | 0.0417300i | ||||
\(673\) | 7.84908e9 | 0.992581 | 0.496291 | − | 0.868156i | \(-0.334695\pi\) | ||||
0.496291 | + | 0.868156i | \(0.334695\pi\) | |||||||
\(674\) | 5.63157e9 | + | 9.75416e9i | 0.708467 | + | 1.22710i | ||||
\(675\) | 6.68139e7 | − | 1.15725e8i | 0.00836187 | − | 0.0144832i | ||||
\(676\) | −1.12339e8 | + | 1.94577e8i | −0.0139868 | + | 0.0242258i | ||||
\(677\) | 6.09084e9 | + | 1.05496e10i | 0.754426 | + | 1.30670i | 0.945659 | + | 0.325160i | \(0.105418\pi\) |
−0.191233 | + | 0.981545i | \(0.561249\pi\) | |||||||
\(678\) | 2.07744e10 | 2.55991 | ||||||||
\(679\) | −5.91326e9 | + | 1.12959e10i | −0.724908 | + | 1.38476i | ||||
\(680\) | 1.62610e9 | 0.198320 | ||||||||
\(681\) | −1.39901e9 | − | 2.42315e9i | −0.169748 | − | 0.294013i | ||||
\(682\) | −6.13306e9 | + | 1.06228e10i | −0.740342 | + | 1.28231i | ||||
\(683\) | −6.86981e9 | + | 1.18989e10i | −0.825035 | + | 1.42900i | 0.0768582 | + | 0.997042i | \(0.475511\pi\) |
−0.901893 | + | 0.431960i | \(0.857822\pi\) | |||||||
\(684\) | 1.83207e9 | + | 3.17324e9i | 0.218900 | + | 0.379147i | ||||
\(685\) | 6.53846e9 | 0.777246 | ||||||||
\(686\) | 5.95673e9 | + | 7.87467e9i | 0.704488 | + | 0.931318i | ||||
\(687\) | −1.96778e10 | −2.31541 | ||||||||
\(688\) | 5.48919e9 | + | 9.50756e9i | 0.642612 | + | 1.11304i | ||||
\(689\) | 9.44819e8 | − | 1.63647e9i | 0.110048 | − | 0.190608i | ||||
\(690\) | 1.40346e10 | − | 2.43086e10i | 1.62640 | − | 2.81701i | ||||
\(691\) | −2.73866e9 | − | 4.74350e9i | −0.315766 | − | 0.546923i | 0.663834 | − | 0.747880i | \(-0.268928\pi\) |
−0.979600 | + | 0.200957i | \(0.935595\pi\) | |||||||
\(692\) | 1.45925e9 | 0.167401 | ||||||||
\(693\) | −4.57966e9 | + | 8.74835e9i | −0.522717 | + | 0.998528i | ||||
\(694\) | 1.45574e10 | 1.65320 | ||||||||
\(695\) | −5.11052e9 | − | 8.85168e9i | −0.577455 | − | 1.00018i | ||||
\(696\) | 1.45657e9 | − | 2.52286e9i | 0.163757 | − | 0.283636i | ||||
\(697\) | 1.15193e9 | − | 1.99520e9i | 0.128858 | − | 0.223189i | ||||
\(698\) | 1.71989e9 | + | 2.97894e9i | 0.191428 | + | 0.331564i | ||||
\(699\) | −1.87951e8 | −0.0208149 | ||||||||
\(700\) | −3.39939e8 | + | 1.40603e7i | −0.0374591 | + | 0.00154935i | ||||
\(701\) | −2.47648e9 | −0.271532 | −0.135766 | − | 0.990741i | \(-0.543350\pi\) | ||||
−0.135766 | + | 0.990741i | \(0.543350\pi\) | |||||||
\(702\) | −2.40783e8 | − | 4.17048e8i | −0.0262691 | − | 0.0454995i | ||||
\(703\) | −7.27858e9 | + | 1.26069e10i | −0.790138 | + | 1.36856i | ||||
\(704\) | 1.97086e9 | − | 3.41364e9i | 0.212889 | − | 0.368734i | ||||
\(705\) | −1.03000e10 | − | 1.78401e10i | −1.10707 | − | 1.91750i | ||||
\(706\) | −1.59508e10 | −1.70595 | ||||||||
\(707\) | −1.32709e9 | − | 2.09371e9i | −0.141232 | − | 0.222817i | ||||
\(708\) | 1.98040e9 | 0.209719 | ||||||||
\(709\) | −6.05097e9 | − | 1.04806e10i | −0.637622 | − | 1.10439i | −0.985953 | − | 0.167022i | \(-0.946585\pi\) |
0.348331 | − | 0.937372i | \(-0.386749\pi\) | |||||||
\(710\) | −9.44443e9 | + | 1.63582e10i | −0.990311 | + | 1.71527i | ||||
\(711\) | 2.60475e8 | − | 4.51155e8i | 0.0271783 | − | 0.0470742i | ||||
\(712\) | −2.42251e9 | − | 4.19591e9i | −0.251527 | − | 0.435658i | ||||
\(713\) | −2.20913e10 | −2.28249 | ||||||||
\(714\) | 2.24527e9 | + | 3.54229e9i | 0.230847 | + | 0.364200i | ||||
\(715\) | 2.88667e9 | 0.295342 | ||||||||
\(716\) | 1.78836e9 | + | 3.09752e9i | 0.182078 | + | 0.315369i | ||||
\(717\) | 4.53882e9 | − | 7.86147e9i | 0.459860 | − | 0.796502i | ||||
\(718\) | 7.67195e9 | − | 1.32882e10i | 0.773518 | − | 1.33977i | ||||
\(719\) | −5.33876e9 | − | 9.24701e9i | −0.535660 | − | 0.927791i | −0.999131 | − | 0.0416788i | \(-0.986729\pi\) |
0.463471 | − | 0.886112i | \(-0.346604\pi\) | |||||||
\(720\) | −1.43990e10 | −1.43771 | ||||||||
\(721\) | −3.46464e9 | + | 1.43302e8i | −0.344258 | + | 0.0142389i | ||||
\(722\) | 2.04151e9 | 0.201870 | ||||||||
\(723\) | 6.84552e9 | + | 1.18568e10i | 0.673631 | + | 1.16676i | ||||
\(724\) | 2.09626e9 | − | 3.63082e9i | 0.205286 | − | 0.355566i | ||||
\(725\) | 1.60423e8 | − | 2.77862e8i | 0.0156345 | − | 0.0270798i | ||||
\(726\) | 2.44705e8 | + | 4.23842e8i | 0.0237337 | + | 0.0411079i | ||||
\(727\) | 3.62551e9 | 0.349945 | 0.174972 | − | 0.984573i | \(-0.444016\pi\) | ||||
0.174972 | + | 0.984573i | \(0.444016\pi\) | |||||||
\(728\) | 9.95057e8 | − | 1.90082e9i | 0.0955846 | − | 0.182592i | ||||
\(729\) | −1.26509e10 | −1.20941 | ||||||||
\(730\) | −1.68660e8 | − | 2.92127e8i | −0.0160465 | − | 0.0277934i | ||||
\(731\) | 1.40047e9 | − | 2.42568e9i | 0.132606 | − | 0.229680i | ||||
\(732\) | −1.93332e9 | + | 3.34860e9i | −0.182186 | + | 0.315555i | ||||
\(733\) | 1.14582e9 | + | 1.98462e9i | 0.107462 | + | 0.186129i | 0.914741 | − | 0.404040i | \(-0.132394\pi\) |
−0.807280 | + | 0.590169i | \(0.799061\pi\) | |||||||
\(734\) | −1.06010e10 | −0.989487 | ||||||||
\(735\) | 9.36162e9 | + | 1.35013e10i | 0.869651 | + | 1.25421i | ||||
\(736\) | −1.37177e10 | −1.26826 | ||||||||
\(737\) | −5.26435e9 | − | 9.11812e9i | −0.484405 | − | 0.839014i | ||||
\(738\) | −7.18797e9 | + | 1.24499e10i | −0.658277 | + | 1.14017i | ||||
\(739\) | 7.72430e9 | − | 1.33789e10i | 0.704050 | − | 1.21945i | −0.262983 | − | 0.964801i | \(-0.584706\pi\) |
0.967033 | − | 0.254650i | \(-0.0819604\pi\) | |||||||
\(740\) | 3.07176e9 | + | 5.32044e9i | 0.278661 | + | 0.482654i | ||||
\(741\) | −4.83422e9 | −0.436478 | ||||||||
\(742\) | 4.78260e9 | − | 9.13603e9i | 0.429785 | − | 0.821001i | ||||
\(743\) | −1.88618e10 | −1.68703 | −0.843516 | − | 0.537104i | \(-0.819518\pi\) | ||||
−0.843516 | + | 0.537104i | \(0.819518\pi\) | |||||||
\(744\) | 7.58486e9 | + | 1.31374e10i | 0.675215 | + | 1.16951i | ||||
\(745\) | 3.00756e9 | − | 5.20925e9i | 0.266482 | − | 0.461560i | ||||
\(746\) | 9.84782e8 | − | 1.70569e9i | 0.0868469 | − | 0.150423i | ||||
\(747\) | 3.04386e9 | + | 5.27211e9i | 0.267179 | + | 0.462767i | ||||
\(748\) | 1.07239e9 | 0.0936909 | ||||||||
\(749\) | −1.37204e10 | + | 5.67491e8i | −1.19311 | + | 0.0493483i | ||||
\(750\) | 1.84684e10 | 1.59851 | ||||||||
\(751\) | 1.02205e10 | + | 1.77024e10i | 0.880507 | + | 1.52508i | 0.850779 | + | 0.525524i | \(0.176131\pi\) |
0.0297282 | + | 0.999558i | \(0.490536\pi\) | |||||||
\(752\) | −1.04166e10 | + | 1.80420e10i | −0.893227 | + | 1.54712i | ||||
\(753\) | 4.60685e9 | − | 7.97929e9i | 0.393207 | − | 0.681055i | ||||
\(754\) | −5.78132e8 | − | 1.00135e9i | −0.0491165 | − | 0.0850723i | ||||
\(755\) | 2.09901e10 | 1.77501 | ||||||||
\(756\) | −3.75198e8 | − | 5.91937e8i | −0.0315816 | − | 0.0498252i | ||||
\(757\) | 1.08833e10 | 0.911851 | 0.455925 | − | 0.890018i | \(-0.349308\pi\) | ||||
0.455925 | + | 0.890018i | \(0.349308\pi\) | |||||||
\(758\) | −6.81429e9 | − | 1.18027e10i | −0.568301 | − | 0.984327i | ||||
\(759\) | −1.61959e10 | + | 2.80521e10i | −1.34450 | + | 2.32873i | ||||
\(760\) | −5.11438e9 | + | 8.85837e9i | −0.422616 | + | 0.731992i | ||||
\(761\) | −2.77353e9 | − | 4.80390e9i | −0.228133 | − | 0.395137i | 0.729122 | − | 0.684384i | \(-0.239929\pi\) |
−0.957255 | + | 0.289246i | \(0.906595\pi\) | |||||||
\(762\) | −2.19706e10 | −1.79887 | ||||||||
\(763\) | 1.20504e10 | + | 1.90115e10i | 0.982122 | + | 1.54946i | ||||
\(764\) | 3.07269e8 | 0.0249282 | ||||||||
\(765\) | 1.83683e9 | + | 3.18148e9i | 0.148338 | + | 0.256929i | ||||
\(766\) | −5.75152e9 | + | 9.96192e9i | −0.462362 | + | 0.800834i | ||||
\(767\) | −6.87732e8 | + | 1.19119e9i | −0.0550346 | + | 0.0953227i | ||||
\(768\) | 8.79432e9 | + | 1.52322e10i | 0.700548 | + | 1.21338i | ||||
\(769\) | −2.63244e9 | −0.208745 | −0.104372 | − | 0.994538i | \(-0.533283\pi\) | ||||
−0.104372 | + | 0.994538i | \(0.533283\pi\) | |||||||
\(770\) | 1.57397e10 | − | 6.51012e8i | 1.24245 | − | 0.0513891i | ||||
\(771\) | −3.14545e10 | −2.47168 | ||||||||
\(772\) | −1.59361e9 | − | 2.76021e9i | −0.124658 | − | 0.215914i | ||||
\(773\) | −4.49486e9 | + | 7.78533e9i | −0.350016 | + | 0.606246i | −0.986252 | − | 0.165249i | \(-0.947157\pi\) |
0.636236 | + | 0.771495i | \(0.280491\pi\) | |||||||
\(774\) | −8.73882e9 | + | 1.51361e10i | −0.677422 | + | 1.17333i | ||||
\(775\) | 8.35378e8 | + | 1.44692e9i | 0.0644655 | + | 0.111657i | ||||
\(776\) | 1.51192e10 | 1.16148 | ||||||||
\(777\) | 1.28590e10 | − | 2.45640e10i | 0.983406 | − | 1.87856i | ||||
\(778\) | 1.17837e10 | 0.897125 | ||||||||
\(779\) | 7.24606e9 | + | 1.25505e10i | 0.549187 | + | 0.951220i | ||||
\(780\) | −1.02008e9 | + | 1.76684e9i | −0.0769670 | + | 0.133311i | ||||
\(781\) | 1.08989e10 | − | 1.88774e10i | 0.818660 | − | 1.41796i | ||||
\(782\) | 3.62119e9 | + | 6.27209e9i | 0.270787 | + | 0.469017i | ||||
\(783\) | 6.60903e8 | 0.0492008 | ||||||||
\(784\) | 7.09101e9 | − | 1.50262e10i | 0.525535 | − | 1.11364i | ||||
\(785\) | 8.25691e9 | 0.609220 | ||||||||
\(786\) | 9.61763e9 | + | 1.66582e10i | 0.706463 | + | 1.22363i | ||||
\(787\) | 5.02834e8 | − | 8.70935e8i | 0.0367717 | − | 0.0636904i | −0.847054 | − | 0.531507i | \(-0.821626\pi\) |
0.883826 | + | 0.467817i | \(0.154959\pi\) | |||||||
\(788\) | −1.97206e9 | + | 3.41571e9i | −0.143575 | + | 0.248679i | ||||
\(789\) | −9.46446e9 | − | 1.63929e10i | −0.686004 | − | 1.18819i | ||||
\(790\) | −8.31084e8 | −0.0599722 | ||||||||
\(791\) | −9.73858e9 | + | 1.86032e10i | −0.699645 | + | 1.33651i | ||||
\(792\) | 1.17094e10 | 0.837521 | ||||||||
\(793\) | −1.34276e9 | − | 2.32573e9i | −0.0956186 | − | 0.165616i | ||||
\(794\) | 8.53800e9 | − | 1.47883e10i | 0.605319 | − | 1.04844i | ||||
\(795\) | 8.57933e9 | − | 1.48598e10i | 0.605576 | − | 1.04889i | ||||
\(796\) | −2.89174e9 | − | 5.00864e9i | −0.203218 | − | 0.351985i | ||||
\(797\) | 2.41558e10 | 1.69012 | 0.845058 | − | 0.534675i | \(-0.179566\pi\) | ||||
0.845058 | + | 0.534675i | \(0.179566\pi\) | |||||||
\(798\) | −2.63588e10 | + | 1.09023e9i | −1.83618 | + | 0.0759465i | ||||
\(799\) | 5.31519e9 | 0.368642 | ||||||||
\(800\) | 5.18730e8 | + | 8.98466e8i | 0.0358200 | + | 0.0620421i | ||||
\(801\) | 5.47287e9 | − | 9.47929e9i | 0.376272 | − | 0.651722i | ||||
\(802\) | −7.99334e9 | + | 1.38449e10i | −0.547165 | + | 0.947717i | ||||
\(803\) | 1.94634e8 | + | 3.37115e8i | 0.0132652 | + | 0.0229760i | ||||
\(804\) | 7.44122e9 | 0.504949 | ||||||||
\(805\) | 1.51890e10 | + | 2.39632e10i | 1.02623 | + | 1.61904i | ||||
\(806\) | 6.02105e9 | 0.405042 | ||||||||
\(807\) | 1.17566e10 | + | 2.03631e10i | 0.787454 | + | 1.36391i | ||||
\(808\) | −1.46974e9 | + | 2.54566e9i | −0.0980168 | + | 0.169770i | ||||
\(809\) | 2.06898e9 | − | 3.58359e9i | 0.137384 | − | 0.237957i | −0.789121 | − | 0.614237i | \(-0.789464\pi\) |
0.926506 | + | 0.376281i | \(0.122797\pi\) | |||||||
\(810\) | 8.12427e9 | + | 1.40717e10i | 0.537139 | + | 0.930353i | ||||
\(811\) | 7.55881e9 | 0.497600 | 0.248800 | − | 0.968555i | \(-0.419964\pi\) | ||||
0.248800 | + | 0.968555i | \(0.419964\pi\) | |||||||
\(812\) | −9.00868e8 | − | 1.42127e9i | −0.0590493 | − | 0.0931602i | ||||
\(813\) | 1.51653e10 | 0.989768 | ||||||||
\(814\) | −1.32925e10 | − | 2.30233e10i | −0.863816 | − | 1.49617i | ||||
\(815\) | −7.73258e9 | + | 1.33932e10i | −0.500349 | + | 0.866629i | ||||
\(816\) | 3.52869e9 | − | 6.11187e9i | 0.227351 | − | 0.393784i | ||||
\(817\) | 8.80944e9 | + | 1.52584e10i | 0.565160 | + | 0.978885i | ||||
\(818\) | −3.06986e10 | −1.96102 | ||||||||
\(819\) | 4.84297e9 | − | 2.00311e8i | 0.308048 | − | 0.0127412i | ||||
\(820\) | 6.11606e9 | 0.387367 | ||||||||
\(821\) | 3.47583e9 | + | 6.02032e9i | 0.219209 | + | 0.379681i | 0.954566 | − | 0.297999i | \(-0.0963191\pi\) |
−0.735358 | + | 0.677679i | \(0.762986\pi\) | |||||||
\(822\) | 9.99850e9 | − | 1.73179e10i | 0.627890 | − | 1.08754i | ||||
\(823\) | 3.43719e9 | − | 5.95339e9i | 0.214934 | − | 0.372276i | −0.738318 | − | 0.674452i | \(-0.764380\pi\) |
0.953252 | + | 0.302176i | \(0.0977132\pi\) | |||||||
\(824\) | 2.05596e9 | + | 3.56103e9i | 0.128018 | + | 0.221733i | ||||
\(825\) | 2.44978e9 | 0.151893 | ||||||||
\(826\) | −3.48125e9 | + | 6.65010e9i | −0.214934 | + | 0.410580i | ||||
\(827\) | 1.93783e10 | 1.19137 | 0.595686 | − | 0.803218i | \(-0.296880\pi\) | ||||
0.595686 | + | 0.803218i | \(0.296880\pi\) | |||||||
\(828\) | −6.02584e9 | − | 1.04371e10i | −0.368902 | − | 0.638957i | ||||
\(829\) | 7.49680e9 | − | 1.29848e10i | 0.457020 | − | 0.791581i | −0.541782 | − | 0.840519i | \(-0.682250\pi\) |
0.998802 | + | 0.0489377i | \(0.0155836\pi\) | |||||||
\(830\) | 4.85594e9 | − | 8.41074e9i | 0.294781 | − | 0.510576i | ||||
\(831\) | 1.51152e10 | + | 2.61803e10i | 0.913713 | + | 1.58260i | ||||
\(832\) | −1.93487e9 | −0.116472 | ||||||||
\(833\) | −4.22462e9 | + | 3.50069e8i | −0.253239 | + | 0.0209844i | ||||
\(834\) | −3.12597e10 | −1.86596 | ||||||||
\(835\) | −9.32019e8 | − | 1.61430e9i | −0.0554015 | − | 0.0959583i | ||||
\(836\) | −3.37286e9 | + | 5.84197e9i | −0.199653 | + | 0.345810i | ||||
\(837\) | −1.72077e9 | + | 2.98046e9i | −0.101434 | + | 0.175689i | ||||
\(838\) | 5.61368e9 | + | 9.72319e9i | 0.329529 | + | 0.570761i | ||||
\(839\) | −9.53521e9 | −0.557395 | −0.278698 | − | 0.960379i | \(-0.589903\pi\) | ||||
−0.278698 | + | 0.960379i | \(0.589903\pi\) | |||||||
\(840\) | 9.03551e9 | − | 1.72602e10i | 0.525987 | − | 1.00477i | ||||
\(841\) | −1.56630e10 | −0.908007 | ||||||||
\(842\) | −2.23639e9 | − | 3.87354e9i | −0.129109 | − | 0.223623i | ||||
\(843\) | 1.36025e10 | − | 2.35603e10i | 0.782029 | − | 1.35451i | ||||
\(844\) | −1.80947e9 | + | 3.13409e9i | −0.103598 | + | 0.179437i | ||||
\(845\) | −7.08487e8 | − | 1.22713e9i | −0.0403955 | − | 0.0699671i | ||||
\(846\) | −3.31664e10 | −1.88323 | ||||||||
\(847\) | −4.94259e8 | + | 2.04431e7i | −0.0279487 | + | 0.00115599i | ||||
\(848\) | −1.73529e10 | −0.977205 | ||||||||
\(849\) | −4.51067e9 | − | 7.81271e9i | −0.252967 | − | 0.438152i | ||||
\(850\) | 2.73869e8 | − | 4.74355e8i | 0.0152960 | − | 0.0264934i | ||||
\(851\) | 2.39398e10 | − | 4.14650e10i | 1.33158 | − | 2.30637i | ||||
\(852\) | 7.70285e9 | + | 1.33417e10i | 0.426690 | + | 0.739049i | ||||
\(853\) | 3.16190e10 | 1.74432 | 0.872160 | − | 0.489220i | \(-0.162719\pi\) | ||||
0.872160 | + | 0.489220i | \(0.162719\pi\) | |||||||
\(854\) | −7.84597e9 | − | 1.23783e10i | −0.431067 | − | 0.680079i | ||||
\(855\) | −2.31086e10 | −1.26442 | ||||||||
\(856\) | 8.14186e9 | + | 1.41021e10i | 0.443675 | + | 0.768468i | ||||
\(857\) | 3.29133e9 | − | 5.70075e9i | 0.178623 | − | 0.309385i | −0.762786 | − | 0.646651i | \(-0.776169\pi\) |
0.941409 | + | 0.337266i | \(0.109502\pi\) | |||||||
\(858\) | 4.41424e9 | − | 7.64569e9i | 0.238589 | − | 0.413248i | ||||
\(859\) | −1.78685e9 | − | 3.09491e9i | −0.0961859 | − | 0.166599i | 0.813917 | − | 0.580981i | \(-0.197331\pi\) |
−0.910103 | + | 0.414382i | \(0.863998\pi\) | |||||||
\(860\) | 7.43564e9 | 0.398633 | ||||||||
\(861\) | −1.47772e10 | − | 2.33136e10i | −0.789010 | − | 1.24479i | ||||
\(862\) | 1.51673e9 | 0.0806556 | ||||||||
\(863\) | −9.28238e9 | − | 1.60776e10i | −0.491611 | − | 0.851495i | 0.508342 | − | 0.861155i | \(-0.330258\pi\) |
−0.999953 | + | 0.00965997i | \(0.996925\pi\) | |||||||
\(864\) | −1.06852e9 | + | 1.85072e9i | −0.0563616 | + | 0.0976211i | ||||
\(865\) | −4.60150e9 | + | 7.97003e9i | −0.241737 | + | 0.418701i | ||||
\(866\) | −9.69518e9 | − | 1.67926e10i | −0.507275 | − | 0.878626i | ||||
\(867\) | 2.60848e10 | 1.35932 | ||||||||
\(868\) | 8.75503e9 | − | 3.62118e8i | 0.454400 | − | 0.0187945i | ||||
\(869\) | 9.59072e8 | 0.0495772 | ||||||||
\(870\) | −5.24967e9 | − | 9.09269e9i | −0.270280 | − | 0.468139i | ||||
\(871\) | −2.58410e9 | + | 4.47580e9i | −0.132509 | + | 0.229513i | ||||
\(872\) | 1.33457e10 | − | 2.31154e10i | 0.681604 | − | 1.18057i | ||||
\(873\) | 1.70784e10 | + | 2.95807e10i | 0.868757 | + | 1.50473i | ||||
\(874\) | −4.55572e10 | −2.30816 | ||||||||
\(875\) | −8.65758e9 | + | 1.65382e10i | −0.436886 | + | 0.834567i | ||||
\(876\) | −2.75117e8 | −0.0138278 | ||||||||
\(877\) | 1.23166e10 | + | 2.13330e10i | 0.616586 | + | 1.06796i | 0.990104 | + | 0.140335i | \(0.0448179\pi\) |
−0.373518 | + | 0.927623i | \(0.621849\pi\) | |||||||
\(878\) | −1.16555e10 | + | 2.01879e10i | −0.581166 | + | 1.00661i | ||||
\(879\) | −7.27621e9 | + | 1.26028e10i | −0.361363 | + | 0.625900i | ||||
\(880\) | −1.32544e10 | − | 2.29573e10i | −0.655647 | − | 1.13561i | ||||
\(881\) | −1.75167e10 | −0.863054 | −0.431527 | − | 0.902100i | \(-0.642025\pi\) | ||||
−0.431527 | + | 0.902100i | \(0.642025\pi\) | |||||||
\(882\) | 2.63613e10 | − | 2.18441e9i | 1.29368 | − | 0.107200i | ||||
\(883\) | 4.33197e9 | 0.211750 | 0.105875 | − | 0.994379i | \(-0.466236\pi\) | ||||
0.105875 | + | 0.994379i | \(0.466236\pi\) | |||||||
\(884\) | −2.63201e8 | − | 4.55878e8i | −0.0128146 | − | 0.0221955i | ||||
\(885\) | −6.24488e9 | + | 1.08165e10i | −0.302847 | + | 0.524546i | ||||
\(886\) | −6.12869e9 | + | 1.06152e10i | −0.296040 | + | 0.512756i | ||||
\(887\) | 2.05251e9 | + | 3.55506e9i | 0.0987537 | + | 0.171046i | 0.911169 | − | 0.412033i | \(-0.135181\pi\) |
−0.812415 | + | 0.583079i | \(0.801848\pi\) | |||||||
\(888\) | −3.28781e10 | −1.57566 | ||||||||
\(889\) | 1.02994e10 | − | 1.96745e10i | 0.491648 | − | 0.939176i | ||||
\(890\) | −1.74620e10 | −0.830290 | ||||||||
\(891\) | −9.37542e9 | − | 1.62387e10i | −0.444037 | − | 0.769094i | ||||
\(892\) | −6.90364e9 | + | 1.19575e10i | −0.325688 | + | 0.564108i | ||||
\(893\) | −1.67172e10 | + | 2.89551e10i | −0.785569 | + | 1.36064i | ||||
\(894\) | −9.19823e9 | − | 1.59318e10i | −0.430549 | − | 0.745733i | ||||
\(895\) | −2.25572e10 | −1.05173 | ||||||||
\(896\) | −2.54994e10 | + | 1.05468e9i | −1.18427 | + | 0.0489829i | ||||
\(897\) | 1.59001e10 | 0.735575 | ||||||||
\(898\) | −1.66816e10 | − | 2.88933e10i | −0.768722 | − | 1.33147i | ||||
\(899\) | −4.13166e9 | + | 7.15624e9i | −0.189656 | + | 0.328493i | ||||
\(900\) | −4.55731e8 | + | 7.89349e8i | −0.0208382 | + | 0.0360928i | ||||
\(901\) | 2.21363e9 | + | 3.83412e9i | 0.100825 | + | 0.174634i | ||||
\(902\) | −2.64662e10 | −1.20079 | ||||||||
\(903\) | −1.79655e10 | − | 2.83436e10i | −0.811957 | − | 1.28100i | ||||
\(904\) | 2.48998e10 | 1.12100 | ||||||||
\(905\) | 1.32204e10 | + | 2.28984e10i | 0.592891 | + | 1.02692i | ||||
\(906\) | 3.20977e10 | − | 5.55948e10i | 1.43392 | − | 2.48362i | ||||
\(907\) | −1.44195e10 | + | 2.49754e10i | −0.641691 | + | 1.11144i | 0.343364 | + | 0.939203i | \(0.388434\pi\) |
−0.985055 | + | 0.172240i | \(0.944900\pi\) | |||||||
\(908\) | 9.58270e8 | + | 1.65977e9i | 0.0424803 | + | 0.0735780i | ||||
\(909\) | −6.64080e9 | −0.293256 | ||||||||
\(910\) | −4.13980e9 | − | 6.53123e9i | −0.182110 | − | 0.287309i | ||||
\(911\) | −3.54050e10 | −1.55149 | −0.775747 | − | 0.631045i | \(-0.782627\pi\) | ||||
−0.775747 | + | 0.631045i | \(0.782627\pi\) | |||||||
\(912\) | 2.21967e10 | + | 3.84458e10i | 0.968962 | + | 1.67829i | ||||
\(913\) | −5.60376e9 | + | 9.70600e9i | −0.243687 | + | 0.422078i | ||||
\(914\) | 6.25241e9 | − | 1.08295e10i | 0.270854 | − | 0.469133i | ||||
\(915\) | −1.21928e10 | − | 2.11186e10i | −0.526174 | − | 0.911361i | ||||
\(916\) | 1.34786e10 | 0.579441 | ||||||||
\(917\) | −1.94258e10 | + | 8.03475e8i | −0.831930 | + | 0.0344096i | ||||
\(918\) | 1.12827e9 | 0.0481353 | ||||||||
\(919\) | 7.52133e9 | + | 1.30273e10i | 0.319662 | + | 0.553670i | 0.980417 | − | 0.196931i | \(-0.0630974\pi\) |
−0.660756 | + | 0.750601i | \(0.729764\pi\) | |||||||
\(920\) | 1.68216e10 | − | 2.91359e10i | 0.712214 | − | 1.23359i | ||||
\(921\) | 2.25279e9 | − | 3.90194e9i | 0.0950191 | − | 0.164578i | ||||
\(922\) | −1.24272e10 | − | 2.15245e10i | −0.522174 | − | 0.904431i | ||||
\(923\) | −1.06998e10 | −0.447890 | ||||||||
\(924\) | 5.95879e9 | − | 1.13829e10i | 0.248488 | − | 0.474678i | ||||
\(925\) | −3.62112e9 | −0.150434 | ||||||||
\(926\) | 2.38787e10 | + | 4.13591e10i | 0.988262 | + | 1.71172i | ||||
\(927\) | −4.64479e9 | + | 8.04500e9i | −0.191508 | + | 0.331701i | ||||
\(928\) | −2.56556e9 | + | 4.44368e9i | −0.105382 | + | 0.182526i | ||||
\(929\) | −2.42758e10 | − | 4.20469e10i | −0.993386 | − | 1.72060i | −0.596130 | − | 0.802888i | \(-0.703296\pi\) |
−0.397257 | − | 0.917708i | \(-0.630038\pi\) | |||||||
\(930\) | 5.46735e10 | 2.22888 | ||||||||
\(931\) | 1.13801e10 | − | 2.41151e10i | 0.462193 | − | 0.979412i | ||||
\(932\) | 1.28739e8 | 0.00520901 | ||||||||
\(933\) | −3.95618e9 | − | 6.85231e9i | −0.159474 | − | 0.276218i | ||||
\(934\) | 2.70634e9 | − | 4.68752e9i | 0.108685 | − | 0.188247i | ||||
\(935\) | −3.38161e9 | + | 5.85712e9i | −0.135295 | + | 0.234339i | ||||
\(936\) | −2.87388e9 | − | 4.97771e9i | −0.114552 | − | 0.198410i | ||||
\(937\) | −1.47623e10 | −0.586228 | −0.293114 | − | 0.956078i | \(-0.594692\pi\) | ||||
−0.293114 | + | 0.956078i | \(0.594692\pi\) | |||||||
\(938\) | −1.30805e10 | + | 2.49873e10i | −0.517506 | + | 0.988573i | ||||
\(939\) | 2.01005e10 | 0.792278 | ||||||||
\(940\) | 7.05512e9 | + | 1.22198e10i | 0.277049 | + | 0.479863i | ||||
\(941\) | 1.23063e10 | − | 2.13151e10i | 0.481464 | − | 0.833919i | −0.518310 | − | 0.855193i | \(-0.673439\pi\) |
0.999774 | + | 0.0212733i | \(0.00677201\pi\) | |||||||
\(942\) | 1.26263e10 | − | 2.18694e10i | 0.492152 | − | 0.852432i | ||||
\(943\) | −2.38329e10 | − | 4.12797e10i | −0.925518 | − | 1.60304i | ||||
\(944\) | 1.26311e10 | 0.488698 | ||||||||
\(945\) | 4.41613e9 | − | 1.82656e8i | 0.170228 | − | 0.00704082i | ||||
\(946\) | −3.21765e10 | −1.23572 | ||||||||
\(947\) | 1.30173e10 | + | 2.25466e10i | 0.498076 | + | 0.862694i | 0.999998 | − | 0.00221985i | \(-0.000706600\pi\) |
−0.501921 | + | 0.864913i | \(0.667373\pi\) | |||||||
\(948\) | −3.38915e8 | + | 5.87017e8i | −0.0129200 | + | 0.0223780i | ||||
\(949\) | 9.55394e7 | − | 1.65479e8i | 0.00362870 | − | 0.00628509i | ||||
\(950\) | 1.72273e9 | + | 2.98386e9i | 0.0651907 | + | 0.112914i | ||||
\(951\) | 4.94302e10 | 1.86363 | ||||||||
\(952\) | 2.69115e9 | + | 4.24573e9i | 0.101090 | + | 0.159486i | ||||
\(953\) | −1.26955e10 | −0.475145 | −0.237572 | − | 0.971370i | \(-0.576352\pi\) | ||||
−0.237572 | + | 0.971370i | \(0.576352\pi\) | |||||||
\(954\) | −1.38129e10 | − | 2.39247e10i | −0.515070 | − | 0.892127i | ||||
\(955\) | −9.68922e8 | + | 1.67822e9i | −0.0359979 | + | 0.0623502i | ||||
\(956\) | −3.10893e9 | + | 5.38482e9i | −0.115082 | + | 0.199328i | ||||
\(957\) | 6.05812e9 | + | 1.04930e10i | 0.223433 | + | 0.386997i | ||||
\(958\) | −2.68501e10 | −0.986659 | ||||||||
\(959\) | 1.08209e10 | + | 1.70718e10i | 0.396186 | + | 0.625050i | ||||
\(960\) | −1.75694e10 | −0.640925 | ||||||||
\(961\) | −7.75862e9 | − | 1.34383e10i | −0.282002 | − | 0.488442i | ||||
\(962\) | −6.52487e9 | + | 1.13014e10i | −0.236297 | + | 0.409279i | ||||
\(963\) | −1.83939e10 | + | 3.18592e10i | −0.663715 | + | 1.14959i | ||||
\(964\) | −4.68893e9 | − | 8.12146e9i | −0.168579 | − | 0.291988i | ||||
\(965\) | 2.01007e10 | 0.720056 | ||||||||
\(966\) | 8.66961e10 | − | 3.58585e9i | 3.09442 | − | 0.127989i | ||||
\(967\) | 4.10863e10 | 1.46118 | 0.730591 | − | 0.682815i | \(-0.239245\pi\) | ||||
0.730591 | + | 0.682815i | \(0.239245\pi\) | |||||||
\(968\) | 2.93300e8 | + | 5.08010e8i | 0.0103932 | + | 0.0180015i | ||||
\(969\) | 5.66309e9 | − | 9.80875e9i | 0.199949 | − | 0.346322i | ||||
\(970\) | 2.72457e10 | − | 4.71909e10i | 0.958509 | − | 1.66019i | ||||
\(971\) | 1.06987e10 | + | 1.85307e10i | 0.375028 | + | 0.649568i | 0.990331 | − | 0.138723i | \(-0.0442996\pi\) |
−0.615303 | + | 0.788291i | \(0.710966\pi\) | |||||||
\(972\) | 1.49412e10 | 0.521860 | ||||||||
\(973\) | 1.46539e10 | − | 2.79927e10i | 0.509985 | − | 0.974205i | ||||
\(974\) | −2.96071e10 | −1.02669 | ||||||||
\(975\) | −6.01259e8 | − | 1.04141e9i | −0.0207752 | − | 0.0359837i | ||||
\(976\) | −1.23308e10 | + | 2.13576e10i | −0.424538 | + | 0.735322i | ||||
\(977\) | −1.16361e10 | + | 2.01543e10i | −0.399187 | + | 0.691411i | −0.993626 | − | 0.112729i | \(-0.964041\pi\) |
0.594439 | + | 0.804141i | \(0.297374\pi\) | |||||||
\(978\) | 2.36490e10 | + | 4.09614e10i | 0.808402 | + | 1.40019i | ||||
\(979\) | 2.01512e10 | 0.686375 | ||||||||
\(980\) | −6.41237e9 | − | 9.24789e9i | −0.217634 | − | 0.313871i | ||||
\(981\) | 6.03004e10 | 2.03929 | ||||||||
\(982\) | 1.00896e10 | + | 1.74757e10i | 0.340004 | + | 0.588904i | ||||
\(983\) | −9.24769e9 | + | 1.60175e10i | −0.310525 | + | 0.537844i | −0.978476 | − | 0.206361i | \(-0.933838\pi\) |
0.667951 | + | 0.744205i | \(0.267171\pi\) | |||||||
\(984\) | −1.63656e10 | + | 2.83460e10i | −0.547582 | + | 0.948439i | ||||
\(985\) | −1.24372e10 | − | 2.15418e10i | −0.414662 | − | 0.718216i | ||||
\(986\) | 2.70903e9 | 0.0900005 | ||||||||
\(987\) | 2.95341e10 | − | 5.64179e10i | 0.977718 | − | 1.86770i | ||||
\(988\) | 3.31126e9 | 0.109231 | ||||||||
\(989\) | −2.89750e10 | − | 5.01861e10i | −0.952436 | − | 1.64967i | ||||
\(990\) | 2.11010e10 | − | 3.65481e10i | 0.691163 | − | 1.19713i | ||||
\(991\) | −6.38736e9 | + | 1.10632e10i | −0.208480 | + | 0.361098i | −0.951236 | − | 0.308465i | \(-0.900185\pi\) |
0.742756 | + | 0.669562i | \(0.233518\pi\) | |||||||
\(992\) | −1.33597e10 | − | 2.31397e10i | −0.434517 | − | 0.752606i | ||||
\(993\) | 4.82312e10 | 1.56317 | ||||||||
\(994\) | −5.83413e10 | + | 2.41307e9i | −1.88419 | + | 0.0779322i | ||||
\(995\) | 3.64745e10 | 1.17384 | ||||||||
\(996\) | −3.96049e9 | − | 6.85977e9i | −0.127011 | − | 0.219989i | ||||
\(997\) | 7.37625e9 | − | 1.27760e10i | 0.235723 | − | 0.408285i | −0.723759 | − | 0.690052i | \(-0.757587\pi\) |
0.959483 | + | 0.281768i | \(0.0909208\pi\) | |||||||
\(998\) | −2.33380e10 | + | 4.04225e10i | −0.743200 | + | 1.28726i | ||||
\(999\) | −3.72952e9 | − | 6.45971e9i | −0.118351 | − | 0.204991i |
(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 | 91.8.e.b.53.8 | ✓ | 58 | |
7.2 | even | 3 | inner | 91.8.e.b.79.8 | yes | 58 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.e.b.53.8 | ✓ | 58 | 1.1 | even | 1 | trivial | |
91.8.e.b.79.8 | yes | 58 | 7.2 | even | 3 | inner |