Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,9,Mod(13,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.13");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.k (of order \(20\), degree \(8\), 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: | \(30.5533957546\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 37.37 | ||
Character | \(\chi\) | \(=\) | 75.37 |
Dual form | 75.9.k.a.73.37 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.47603 | + | 28.2605i | 0.279752 | + | 1.76628i | 0.582131 | + | 0.813095i | \(0.302219\pi\) |
−0.302379 | + | 0.953188i | \(0.597781\pi\) | |||||||
\(3\) | 41.6683 | + | 21.2310i | 0.514423 | + | 0.262112i | ||||
\(4\) | −535.152 | + | 173.881i | −2.09044 | + | 0.679224i | ||||
\(5\) | −597.986 | + | 181.764i | −0.956777 | + | 0.290822i | ||||
\(6\) | −413.492 | + | 1272.60i | −0.319052 | + | 0.981942i | ||||
\(7\) | 1192.40 | + | 1192.40i | 0.496626 | + | 0.496626i | 0.910386 | − | 0.413760i | \(-0.135785\pi\) |
−0.413760 | + | 0.910386i | \(0.635785\pi\) | |||||||
\(8\) | −3983.91 | − | 7818.87i | −0.972635 | − | 1.90890i | ||||
\(9\) | 1285.49 | + | 1769.32i | 0.195928 | + | 0.269672i | ||||
\(10\) | −7813.33 | − | 16085.8i | −0.781333 | − | 1.60858i | ||||
\(11\) | −18162.1 | − | 13195.5i | −1.24050 | − | 0.901273i | −0.242864 | − | 0.970060i | \(-0.578087\pi\) |
−0.997631 | + | 0.0687876i | \(0.978087\pi\) | |||||||
\(12\) | −25990.5 | − | 4116.50i | −1.25340 | − | 0.198519i | ||||
\(13\) | 84.9455 | − | 536.325i | 0.00297418 | − | 0.0187782i | −0.986157 | − | 0.165817i | \(-0.946974\pi\) |
0.989131 | + | 0.147038i | \(0.0469741\pi\) | |||||||
\(14\) | −28360.6 | + | 39035.0i | −0.738250 | + | 1.01611i | ||||
\(15\) | −28776.1 | − | 5122.09i | −0.568416 | − | 0.101177i | ||||
\(16\) | 86595.0 | − | 62915.0i | 1.32134 | − | 0.960006i | ||||
\(17\) | 35193.1 | − | 17931.8i | 0.421368 | − | 0.214698i | −0.230432 | − | 0.973088i | \(-0.574014\pi\) |
0.651800 | + | 0.758391i | \(0.274014\pi\) | |||||||
\(18\) | −44248.0 | + | 44248.0i | −0.421506 | + | 0.421506i | ||||
\(19\) | −16555.1 | − | 5379.07i | −0.127033 | − | 0.0412756i | 0.244811 | − | 0.969571i | \(-0.421274\pi\) |
−0.371844 | + | 0.928295i | \(0.621274\pi\) | |||||||
\(20\) | 288408. | − | 201250.i | 1.80255 | − | 1.25781i | ||||
\(21\) | 24369.3 | + | 75001.0i | 0.125304 | + | 0.385647i | ||||
\(22\) | 291619. | − | 572334.i | 1.24487 | − | 2.44320i | ||||
\(23\) | −212641. | + | 33679.0i | −0.759864 | + | 0.120351i | −0.524329 | − | 0.851515i | \(-0.675684\pi\) |
−0.235534 | + | 0.971866i | \(0.575684\pi\) | |||||||
\(24\) | − | 410381.i | − | 1.23692i | ||||||
\(25\) | 324549. | − | 217384.i | 0.830845 | − | 0.556503i | ||||
\(26\) | 15537.0 | 0.0339997 | ||||||||
\(27\) | 15999.5 | + | 101017.i | 0.0301058 | + | 0.190081i | ||||
\(28\) | −845450. | − | 430779.i | −1.37549 | − | 0.700845i | ||||
\(29\) | 1.12940e6 | − | 366966.i | 1.59683 | − | 0.518840i | 0.630506 | − | 0.776185i | \(-0.282847\pi\) |
0.966320 | + | 0.257344i | \(0.0828475\pi\) | |||||||
\(30\) | 15950.5 | − | 836153.i | 0.0196920 | − | 1.03229i | ||||
\(31\) | −322990. | + | 994060.i | −0.349737 | + | 1.07638i | 0.609261 | + | 0.792970i | \(0.291466\pi\) |
−0.958998 | + | 0.283411i | \(0.908534\pi\) | |||||||
\(32\) | 577109. | + | 577109.i | 0.550374 | + | 0.550374i | ||||
\(33\) | −476628. | − | 935435.i | −0.401905 | − | 0.788783i | ||||
\(34\) | 664286. | + | 914312.i | 0.497095 | + | 0.684193i | ||||
\(35\) | −929772. | − | 496303.i | −0.619590 | − | 0.330731i | ||||
\(36\) | −995583. | − | 723333.i | −0.592744 | − | 0.430654i | ||||
\(37\) | −1.74555e6 | − | 276467.i | −0.931375 | − | 0.147515i | −0.327732 | − | 0.944771i | \(-0.606284\pi\) |
−0.603642 | + | 0.797255i | \(0.706284\pi\) | |||||||
\(38\) | 77914.4 | − | 491932.i | 0.0373666 | − | 0.235923i | ||||
\(39\) | 14926.3 | − | 20544.2i | 0.00645198 | − | 0.00888038i | ||||
\(40\) | 3.80351e6 | + | 3.95144e6i | 1.48575 | + | 1.54353i | ||||
\(41\) | 945836. | − | 687190.i | 0.334719 | − | 0.243188i | −0.407711 | − | 0.913111i | \(-0.633673\pi\) |
0.742430 | + | 0.669923i | \(0.233673\pi\) | |||||||
\(42\) | −2.01049e6 | + | 1.02440e6i | −0.646108 | + | 0.329208i | ||||
\(43\) | −4.26743e6 | + | 4.26743e6i | −1.24822 | + | 1.24822i | −0.291721 | + | 0.956503i | \(0.594228\pi\) |
−0.956503 | + | 0.291721i | \(0.905772\pi\) | |||||||
\(44\) | 1.20139e7 | + | 3.90357e6i | 3.20535 | + | 1.04148i | ||||
\(45\) | −1.09030e6 | − | 824374.i | −0.265886 | − | 0.201036i | ||||
\(46\) | −1.90357e6 | − | 5.85860e6i | −0.425146 | − | 1.30847i | ||||
\(47\) | 3.11825e6 | − | 6.11991e6i | 0.639027 | − | 1.25416i | −0.313466 | − | 0.949599i | \(-0.601490\pi\) |
0.952493 | − | 0.304561i | \(-0.0985099\pi\) | |||||||
\(48\) | 4.94401e6 | − | 783055.i | 0.931354 | − | 0.147512i | ||||
\(49\) | − | 2.92117e6i | − | 0.506726i | ||||||
\(50\) | 7.59608e6 | + | 8.19891e6i | 1.21537 | + | 1.31183i | ||||
\(51\) | 1.84714e6 | 0.273036 | ||||||||
\(52\) | 47798.2 | + | 301786.i | 0.00653729 | + | 0.0412749i | ||||
\(53\) | −1.24164e6 | − | 632648.i | −0.157359 | − | 0.0801786i | 0.373537 | − | 0.927615i | \(-0.378145\pi\) |
−0.530897 | + | 0.847437i | \(0.678145\pi\) | |||||||
\(54\) | −2.78317e6 | + | 904307.i | −0.327314 | + | 0.106351i | ||||
\(55\) | 1.32591e7 | + | 4.58954e6i | 1.44899 | + | 0.501554i | ||||
\(56\) | 4.57280e6 | − | 1.40736e7i | 0.464975 | − | 1.43105i | ||||
\(57\) | −575618. | − | 575618.i | −0.0545299 | − | 0.0545299i | ||||
\(58\) | 1.54259e7 | + | 3.02750e7i | 1.36313 | + | 2.67530i | ||||
\(59\) | 5.90680e6 | + | 8.13001e6i | 0.487466 | + | 0.670939i | 0.979918 | − | 0.199400i | \(-0.0638994\pi\) |
−0.492452 | + | 0.870339i | \(0.663899\pi\) | |||||||
\(60\) | 1.62902e7 | − | 2.26253e6i | 1.25696 | − | 0.174578i | ||||
\(61\) | 223198. | + | 162163.i | 0.0161202 | + | 0.0117120i | 0.595816 | − | 0.803121i | \(-0.296829\pi\) |
−0.579696 | + | 0.814833i | \(0.696829\pi\) | |||||||
\(62\) | −2.95384e7 | − | 4.67842e6i | −1.99903 | − | 0.316616i | ||||
\(63\) | −576923. | + | 3.64255e6i | −0.0366231 | + | 0.231229i | ||||
\(64\) | 2.37999e6 | − | 3.27577e6i | 0.141858 | − | 0.195251i | ||||
\(65\) | 46688.1 | + | 336155.i | 0.00261549 | + | 0.0188315i | ||||
\(66\) | 2.43025e7 | − | 1.76568e7i | 1.28078 | − | 0.930542i | ||||
\(67\) | −3.29770e7 | + | 1.68026e7i | −1.63649 | + | 0.833831i | −0.638553 | + | 0.769578i | \(0.720466\pi\) |
−0.997934 | + | 0.0642531i | \(0.979534\pi\) | |||||||
\(68\) | −1.57156e7 | + | 1.57156e7i | −0.735015 | + | 0.735015i | ||||
\(69\) | −9.57542e6 | − | 3.11124e6i | −0.422437 | − | 0.137258i | ||||
\(70\) | 9.86409e6 | − | 2.84973e7i | 0.410833 | − | 1.18689i | ||||
\(71\) | −1.04056e7 | − | 3.20253e7i | −0.409483 | − | 1.26026i | −0.917094 | − | 0.398672i | \(-0.869471\pi\) |
0.507611 | − | 0.861586i | \(-0.330529\pi\) | |||||||
\(72\) | 8.71282e6 | − | 1.70999e7i | 0.324212 | − | 0.636301i | ||||
\(73\) | −1.38082e7 | + | 2.18701e6i | −0.486236 | + | 0.0770122i | −0.394739 | − | 0.918793i | \(-0.629165\pi\) |
−0.0914966 | + | 0.995805i | \(0.529165\pi\) | |||||||
\(74\) | − | 5.05675e7i | − | 1.68634i | ||||||
\(75\) | 1.81387e7 | − | 2.16750e6i | 0.573272 | − | 0.0685038i | ||||
\(76\) | 9.79481e6 | 0.293590 | ||||||||
\(77\) | −5.92212e6 | − | 3.73908e7i | −0.168467 | − | 1.06366i | ||||
\(78\) | 647401. | + | 329868.i | 0.0174902 | + | 0.00891171i | ||||
\(79\) | −4.11974e7 | + | 1.33858e7i | −1.05770 | + | 0.343667i | −0.785685 | − | 0.618627i | \(-0.787689\pi\) |
−0.272013 | + | 0.962294i | \(0.587689\pi\) | |||||||
\(80\) | −4.03469e7 | + | 5.33621e7i | −0.985033 | + | 1.30278i | ||||
\(81\) | −1.47802e6 | + | 4.54887e6i | −0.0343352 | + | 0.105673i | ||||
\(82\) | 2.36539e7 | + | 2.36539e7i | 0.523176 | + | 0.523176i | ||||
\(83\) | −2.64595e7 | − | 5.19297e7i | −0.557531 | − | 1.09422i | −0.982019 | − | 0.188783i | \(-0.939546\pi\) |
0.424488 | − | 0.905434i | \(-0.360454\pi\) | |||||||
\(84\) | −2.60826e7 | − | 3.58996e7i | −0.523882 | − | 0.721061i | ||||
\(85\) | −1.77856e7 | + | 1.71198e7i | −0.340716 | + | 0.327961i | ||||
\(86\) | −1.39701e8 | − | 1.01499e8i | −2.55391 | − | 1.85552i | ||||
\(87\) | 5.48514e7 | + | 8.68760e6i | 0.957438 | + | 0.151643i | ||||
\(88\) | −3.08180e7 | + | 1.94577e8i | −0.513894 | + | 3.24460i | ||||
\(89\) | −7.22778e6 | + | 9.94819e6i | −0.115198 | + | 0.158556i | −0.862722 | − | 0.505678i | \(-0.831242\pi\) |
0.747524 | + | 0.664235i | \(0.231242\pi\) | |||||||
\(90\) | 1.84170e7 | − | 3.45024e7i | 0.280704 | − | 0.525871i | ||||
\(91\) | 740802. | − | 538224.i | 0.0108028 | − | 0.00784870i | ||||
\(92\) | 1.07939e8 | − | 5.49977e7i | 1.50670 | − | 0.767703i | ||||
\(93\) | −3.45634e7 | + | 3.45634e7i | −0.462045 | + | 0.462045i | ||||
\(94\) | 1.86909e8 | + | 6.07305e7i | 2.39397 | + | 0.777849i | ||||
\(95\) | 1.08774e7 | + | 207498.i | 0.133546 | + | 0.00254753i | ||||
\(96\) | 1.17945e7 | + | 3.62997e7i | 0.138866 | + | 0.427384i | ||||
\(97\) | 4.74457e7 | − | 9.31175e7i | 0.535933 | − | 1.05183i | −0.451275 | − | 0.892385i | \(-0.649031\pi\) |
0.987207 | − | 0.159442i | \(-0.0509695\pi\) | |||||||
\(98\) | 8.25539e7 | − | 1.30753e7i | 0.895021 | − | 0.141757i | ||||
\(99\) | − | 4.90972e7i | − | 0.511112i | ||||||
\(100\) | −1.35884e8 | + | 1.72767e8i | −1.35884 | + | 1.72767i | ||||
\(101\) | −4.63098e7 | −0.445028 | −0.222514 | − | 0.974930i | \(-0.571426\pi\) | ||||
−0.222514 | + | 0.974930i | \(0.571426\pi\) | |||||||
\(102\) | 8.26786e6 | + | 5.22012e7i | 0.0763823 | + | 0.482259i | ||||
\(103\) | −1.68810e8 | − | 8.60132e7i | −1.49986 | − | 0.764216i | −0.504775 | − | 0.863251i | \(-0.668425\pi\) |
−0.995084 | + | 0.0990344i | \(0.968425\pi\) | |||||||
\(104\) | −4.53187e6 | + | 1.47249e6i | −0.0387386 | + | 0.0125869i | ||||
\(105\) | −2.82049e7 | − | 4.04201e7i | −0.232043 | − | 0.332537i | ||||
\(106\) | 1.23213e7 | − | 3.79212e7i | 0.0975965 | − | 0.300371i | ||||
\(107\) | 5.39839e7 | + | 5.39839e7i | 0.411841 | + | 0.411841i | 0.882379 | − | 0.470539i | \(-0.155940\pi\) |
−0.470539 | + | 0.882379i | \(0.655940\pi\) | |||||||
\(108\) | −2.61271e7 | − | 5.12773e7i | −0.192042 | − | 0.376903i | ||||
\(109\) | −9.06978e7 | − | 1.24835e8i | −0.642526 | − | 0.884361i | 0.356221 | − | 0.934402i | \(-0.384065\pi\) |
−0.998747 | + | 0.0500406i | \(0.984065\pi\) | |||||||
\(110\) | −7.03544e7 | + | 3.95253e8i | −0.480530 | + | 2.69963i | ||||
\(111\) | −6.68642e7 | − | 4.85797e7i | −0.440455 | − | 0.320009i | ||||
\(112\) | 1.78275e8 | + | 2.82361e7i | 1.13297 | + | 0.179445i | ||||
\(113\) | −3.35530e6 | + | 2.11846e7i | −0.0205787 | + | 0.129929i | −0.995839 | − | 0.0911313i | \(-0.970952\pi\) |
0.975260 | + | 0.221060i | \(0.0709517\pi\) | |||||||
\(114\) | 1.36908e7 | − | 1.88437e7i | 0.0810604 | − | 0.111570i | ||||
\(115\) | 1.21035e8 | − | 5.87900e7i | 0.692020 | − | 0.336134i | ||||
\(116\) | −5.40595e8 | + | 3.92765e8i | −2.98566 | + | 2.16921i | ||||
\(117\) | 1.05813e6 | − | 539143.i | 0.00564669 | − | 0.00287713i | ||||
\(118\) | −2.03319e8 | + | 2.03319e8i | −1.04870 | + | 1.04870i | ||||
\(119\) | 6.33460e7 | + | 2.05823e7i | 0.315887 | + | 0.102638i | ||||
\(120\) | 7.45924e7 | + | 2.45402e8i | 0.359724 | + | 1.18346i | ||||
\(121\) | 8.94990e7 | + | 2.75450e8i | 0.417520 | + | 1.28499i | ||||
\(122\) | −3.58376e6 | + | 7.03353e6i | −0.0161771 | + | 0.0317493i | ||||
\(123\) | 5.40011e7 | − | 8.55293e6i | 0.235929 | − | 0.0373675i | ||||
\(124\) | − | 5.88135e8i | − | 2.48766i | ||||||
\(125\) | −1.54563e8 | + | 1.88984e8i | −0.633091 | + | 0.774077i | ||||
\(126\) | −1.05523e8 | −0.418662 | ||||||||
\(127\) | −1.90093e7 | − | 1.20020e8i | −0.0730719 | − | 0.461358i | −0.996909 | − | 0.0785710i | \(-0.974964\pi\) |
0.923837 | − | 0.382787i | \(-0.125036\pi\) | |||||||
\(128\) | 2.89391e8 | + | 1.47452e8i | 1.07807 | + | 0.549302i | ||||
\(129\) | −2.68418e8 | + | 8.72144e7i | −0.969289 | + | 0.314941i | ||||
\(130\) | −9.29093e6 | + | 2.82407e6i | −0.0325301 | + | 0.00988785i | ||||
\(131\) | 8.88975e7 | − | 2.73599e8i | 0.301859 | − | 0.929027i | −0.678971 | − | 0.734165i | \(-0.737574\pi\) |
0.980831 | − | 0.194863i | \(-0.0624261\pi\) | |||||||
\(132\) | 4.17723e8 | + | 4.17723e8i | 1.37592 | + | 1.37592i | ||||
\(133\) | −1.33263e7 | − | 2.61542e7i | −0.0425894 | − | 0.0835864i | ||||
\(134\) | −6.22457e8 | − | 8.56739e8i | −1.93059 | − | 2.65723i | ||||
\(135\) | −2.79286e7 | − | 5.74984e7i | −0.0840842 | − | 0.173109i | ||||
\(136\) | −2.80412e8 | − | 2.03731e8i | −0.819674 | − | 0.595528i | ||||
\(137\) | 1.32965e8 | + | 2.10596e7i | 0.377446 | + | 0.0597815i | 0.342275 | − | 0.939600i | \(-0.388803\pi\) |
0.0351706 | + | 0.999381i | \(0.488803\pi\) | |||||||
\(138\) | 4.50655e7 | − | 2.84532e8i | 0.124259 | − | 0.784541i | ||||
\(139\) | 3.44440e8 | − | 4.74081e8i | 0.922688 | − | 1.26997i | −0.0399565 | − | 0.999201i | \(-0.512722\pi\) |
0.962644 | − | 0.270769i | \(-0.0872781\pi\) | |||||||
\(140\) | 5.83867e8 | + | 1.03927e8i | 1.51985 | + | 0.270531i | ||||
\(141\) | 2.59864e8 | − | 1.88802e8i | 0.657460 | − | 0.477673i | ||||
\(142\) | 8.58475e8 | − | 4.37415e8i | 2.11142 | − | 1.07582i | ||||
\(143\) | −8.61988e6 | + | 8.61988e6i | −0.0206138 | + | 0.0206138i | ||||
\(144\) | 2.22633e8 | + | 7.23380e7i | 0.517774 | + | 0.168235i | ||||
\(145\) | −6.08667e8 | + | 4.24725e8i | −1.37692 | + | 0.960806i | ||||
\(146\) | −1.23612e8 | − | 3.80439e8i | −0.272051 | − | 0.837286i | ||||
\(147\) | 6.20195e7 | − | 1.21720e8i | 0.132819 | − | 0.260671i | ||||
\(148\) | 9.82205e8 | − | 1.55566e8i | 2.04718 | − | 0.324241i | ||||
\(149\) | 6.70538e8i | 1.36044i | 0.733009 | + | 0.680219i | \(0.238115\pi\) | ||||
−0.733009 | + | 0.680219i | \(0.761885\pi\) | |||||||
\(150\) | 1.42444e8 | + | 5.02907e8i | 0.281371 | + | 0.993396i | ||||
\(151\) | −5.52404e8 | −1.06255 | −0.531275 | − | 0.847200i | \(-0.678287\pi\) | ||||
−0.531275 | + | 0.847200i | \(0.678287\pi\) | |||||||
\(152\) | 2.38957e7 | + | 1.50872e8i | 0.0447658 | + | 0.282640i | ||||
\(153\) | 7.69672e7 | + | 3.92168e7i | 0.140456 | + | 0.0715659i | ||||
\(154\) | 1.03018e9 | − | 3.34724e8i | 1.83159 | − | 0.595120i | ||||
\(155\) | 1.24594e7 | − | 6.53142e8i | 0.0215858 | − | 1.13157i | ||||
\(156\) | −4.41556e6 | + | 1.35897e7i | −0.00745568 | + | 0.0229462i | ||||
\(157\) | −2.78240e8 | − | 2.78240e8i | −0.457953 | − | 0.457953i | 0.440030 | − | 0.897983i | \(-0.354968\pi\) |
−0.897983 | + | 0.440030i | \(0.854968\pi\) | |||||||
\(158\) | −5.62692e8 | − | 1.10434e9i | −0.902905 | − | 1.77205i | ||||
\(159\) | −3.83052e7 | − | 5.27226e7i | −0.0599335 | − | 0.0824914i | ||||
\(160\) | −4.50000e8 | − | 2.40205e8i | −0.686646 | − | 0.366524i | ||||
\(161\) | −2.93712e8 | − | 2.13394e8i | −0.437137 | − | 0.317599i | ||||
\(162\) | −1.35169e8 | − | 2.14087e7i | −0.196254 | − | 0.0310835i | ||||
\(163\) | −2.02633e8 | + | 1.27938e9i | −0.287052 | + | 1.81237i | 0.249352 | + | 0.968413i | \(0.419782\pi\) |
−0.536404 | + | 0.843961i | \(0.680218\pi\) | |||||||
\(164\) | −3.86676e8 | + | 5.32214e8i | −0.534530 | + | 0.735718i | ||||
\(165\) | 4.55045e8 | + | 4.72743e8i | 0.613929 | + | 0.637807i | ||||
\(166\) | 1.34913e9 | − | 9.80198e8i | 1.77673 | − | 1.29087i | ||||
\(167\) | 9.10900e7 | − | 4.64127e7i | 0.117113 | − | 0.0596720i | −0.394453 | − | 0.918916i | \(-0.629066\pi\) |
0.511565 | + | 0.859244i | \(0.329066\pi\) | |||||||
\(168\) | 4.89338e8 | − | 4.89338e8i | 0.614288 | − | 0.614288i | ||||
\(169\) | 7.75526e8 | + | 2.51984e8i | 0.950713 | + | 0.308905i | ||||
\(170\) | −5.63422e8 | − | 4.26002e8i | −0.674587 | − | 0.510054i | ||||
\(171\) | −1.17640e7 | − | 3.62060e7i | −0.0137585 | − | 0.0423444i | ||||
\(172\) | 1.54170e9 | − | 3.02575e9i | 1.76151 | − | 3.45716i | ||||
\(173\) | −1.01921e9 | + | 1.61427e8i | −1.13783 | + | 0.180215i | −0.696793 | − | 0.717272i | \(-0.745390\pi\) |
−0.441040 | + | 0.897487i | \(0.645390\pi\) | |||||||
\(174\) | 1.58901e9i | 1.73353i | ||||||||
\(175\) | 6.46200e8 | + | 1.27783e8i | 0.688993 | + | 0.136245i | ||||
\(176\) | −2.40294e9 | −2.50434 | ||||||||
\(177\) | 7.35174e7 | + | 4.64171e8i | 0.0749027 | + | 0.472917i | ||||
\(178\) | −3.13493e8 | − | 1.59733e8i | −0.312282 | − | 0.159116i | ||||
\(179\) | −1.16389e9 | + | 3.78170e8i | −1.13370 | + | 0.368362i | −0.814982 | − | 0.579486i | \(-0.803253\pi\) |
−0.318721 | + | 0.947849i | \(0.603253\pi\) | |||||||
\(180\) | 7.26820e8 | + | 2.51582e8i | 0.692368 | + | 0.239657i | ||||
\(181\) | −2.91283e8 | + | 8.96477e8i | −0.271394 | + | 0.835266i | 0.718757 | + | 0.695262i | \(0.244712\pi\) |
−0.990151 | + | 0.140004i | \(0.955288\pi\) | |||||||
\(182\) | 1.85263e7 | + | 1.85263e7i | 0.0168851 | + | 0.0168851i | ||||
\(183\) | 5.85738e6 | + | 1.14958e7i | 0.00522275 | + | 0.0102502i | ||||
\(184\) | 1.11048e9 | + | 1.52844e9i | 0.968808 | + | 1.33345i | ||||
\(185\) | 1.09406e9 | − | 1.51953e8i | 0.934019 | − | 0.129725i | ||||
\(186\) | −1.13149e9 | − | 8.22072e8i | −0.945360 | − | 0.686844i | ||||
\(187\) | −8.75799e8 | − | 1.38713e8i | −0.716206 | − | 0.113436i | ||||
\(188\) | −6.04599e8 | + | 3.81729e9i | −0.483989 | + | 3.05579i | ||||
\(189\) | −1.01374e8 | + | 1.39530e8i | −0.0794476 | + | 0.109350i | ||||
\(190\) | 4.28236e7 | + | 3.08330e8i | 0.0328601 | + | 0.236593i | ||||
\(191\) | −1.43667e8 | + | 1.04380e8i | −0.107950 | + | 0.0784306i | −0.640451 | − | 0.767999i | \(-0.721252\pi\) |
0.532500 | + | 0.846430i | \(0.321252\pi\) | |||||||
\(192\) | 1.68718e8 | − | 8.59662e7i | 0.124153 | − | 0.0632590i | ||||
\(193\) | −3.72770e8 | + | 3.72770e8i | −0.268665 | + | 0.268665i | −0.828562 | − | 0.559897i | \(-0.810841\pi\) |
0.559897 | + | 0.828562i | \(0.310841\pi\) | |||||||
\(194\) | 2.84392e9 | + | 9.24045e8i | 2.00775 | + | 0.652358i | ||||
\(195\) | −5.19150e6 | + | 1.49982e7i | −0.00359050 | + | 0.0103729i | ||||
\(196\) | 5.07938e8 | + | 1.56327e9i | 0.344181 | + | 1.05928i | ||||
\(197\) | −1.14984e9 | + | 2.25669e9i | −0.763437 | + | 1.49833i | 0.100614 | + | 0.994926i | \(0.467919\pi\) |
−0.864051 | + | 0.503404i | \(0.832081\pi\) | |||||||
\(198\) | 1.38751e9 | − | 2.19761e8i | 0.902769 | − | 0.142985i | ||||
\(199\) | 2.80251e9i | 1.78704i | 0.449019 | + | 0.893522i | \(0.351774\pi\) | ||||
−0.449019 | + | 0.893522i | \(0.648226\pi\) | |||||||
\(200\) | −2.99267e9 | − | 1.67157e9i | −1.87042 | − | 1.04473i | ||||
\(201\) | −1.73083e9 | −1.06040 | ||||||||
\(202\) | −2.07284e8 | − | 1.30874e9i | −0.124497 | − | 0.786045i | ||||
\(203\) | 1.78427e9 | + | 9.09131e8i | 1.05069 | + | 0.535355i | ||||
\(204\) | −9.88503e8 | + | 3.21184e8i | −0.570765 | + | 0.185453i | ||||
\(205\) | −4.40690e8 | + | 5.82848e8i | −0.249527 | + | 0.330020i | ||||
\(206\) | 1.67518e9 | − | 5.15567e9i | 0.930234 | − | 2.86297i | ||||
\(207\) | −3.32936e8 | − | 3.32936e8i | −0.181334 | − | 0.181334i | ||||
\(208\) | −2.63870e7 | − | 5.17874e7i | −0.0140973 | − | 0.0276676i | ||||
\(209\) | 2.29695e8 | + | 3.16148e8i | 0.120383 | + | 0.165694i | ||||
\(210\) | 1.01605e9 | − | 9.78008e8i | 0.522440 | − | 0.502881i | ||||
\(211\) | 1.77056e9 | + | 1.28639e9i | 0.893266 | + | 0.648996i | 0.936727 | − | 0.350060i | \(-0.113839\pi\) |
−0.0434617 | + | 0.999055i | \(0.513839\pi\) | |||||||
\(212\) | 7.74472e8 | + | 1.22664e8i | 0.383409 | + | 0.0607260i | ||||
\(213\) | 2.46345e8 | − | 1.55536e9i | 0.119681 | − | 0.755636i | ||||
\(214\) | −1.28398e9 | + | 1.76725e9i | −0.612214 | + | 0.842641i | ||||
\(215\) | 1.77620e9 | − | 3.32753e9i | 0.831262 | − | 1.55728i | ||||
\(216\) | 7.26096e8 | − | 5.27539e8i | 0.333564 | − | 0.242348i | ||||
\(217\) | −1.57045e9 | + | 8.00184e8i | −0.708247 | + | 0.360870i | ||||
\(218\) | 3.12193e9 | − | 3.12193e9i | 1.38228 | − | 1.38228i | ||||
\(219\) | −6.21798e8 | − | 2.02034e8i | −0.270317 | − | 0.0878312i | ||||
\(220\) | −7.89369e9 | − | 1.50580e8i | −3.36969 | − | 0.0642803i | ||||
\(221\) | −6.62776e6 | − | 2.03981e7i | −0.00277842 | − | 0.00855109i | ||||
\(222\) | 1.07360e9 | − | 2.10706e9i | 0.442009 | − | 0.867491i | ||||
\(223\) | −1.31385e9 | + | 2.08094e8i | −0.531285 | + | 0.0841473i | −0.416313 | − | 0.909221i | \(-0.636678\pi\) |
−0.114972 | + | 0.993369i | \(0.536678\pi\) | |||||||
\(224\) | 1.37629e9i | 0.546660i | ||||||||
\(225\) | 8.01825e8 | + | 2.94787e8i | 0.312860 | + | 0.115021i | ||||
\(226\) | −6.13705e8 | −0.235248 | ||||||||
\(227\) | 3.63537e8 | + | 2.29528e9i | 0.136913 | + | 0.864436i | 0.956553 | + | 0.291557i | \(0.0941733\pi\) |
−0.819640 | + | 0.572878i | \(0.805827\pi\) | |||||||
\(228\) | 4.08132e8 | + | 2.07954e8i | 0.151029 | + | 0.0769534i | ||||
\(229\) | −5.95995e8 | + | 1.93651e8i | −0.216721 | + | 0.0704169i | −0.415365 | − | 0.909655i | \(-0.636346\pi\) |
0.198644 | + | 0.980072i | \(0.436346\pi\) | |||||||
\(230\) | 2.20319e9 | + | 3.15736e9i | 0.787301 | + | 1.12827i | ||||
\(231\) | 5.47081e8 | − | 1.68374e9i | 0.192134 | − | 0.591327i | ||||
\(232\) | −7.36871e9 | − | 7.36871e9i | −2.54354 | − | 2.54354i | ||||
\(233\) | −6.00434e8 | − | 1.17842e9i | −0.203724 | − | 0.399830i | 0.766428 | − | 0.642331i | \(-0.222032\pi\) |
−0.970151 | + | 0.242500i | \(0.922032\pi\) | |||||||
\(234\) | 1.99727e7 | + | 2.74900e7i | 0.00666151 | + | 0.00916878i | ||||
\(235\) | −7.52292e8 | + | 4.22640e9i | −0.246669 | + | 1.38580i | ||||
\(236\) | −4.57470e9 | − | 3.32371e9i | −1.47474 | − | 1.07146i | ||||
\(237\) | −2.00082e9 | − | 3.16899e8i | −0.634183 | − | 0.100445i | ||||
\(238\) | −2.98130e8 | + | 1.88232e9i | −0.0929175 | + | 0.586658i | ||||
\(239\) | −5.01953e8 | + | 6.90879e8i | −0.153841 | + | 0.211744i | −0.878980 | − | 0.476859i | \(-0.841775\pi\) |
0.725139 | + | 0.688602i | \(0.241775\pi\) | |||||||
\(240\) | −2.81412e9 | + | 1.36690e9i | −0.848198 | + | 0.411994i | ||||
\(241\) | 3.75876e9 | − | 2.73090e9i | 1.11423 | − | 0.809539i | 0.130910 | − | 0.991394i | \(-0.458210\pi\) |
0.983325 | + | 0.181855i | \(0.0582102\pi\) | |||||||
\(242\) | −7.38375e9 | + | 3.76221e9i | −2.15286 | + | 1.09694i | ||||
\(243\) | −1.58164e8 | + | 1.58164e8i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −1.47642e8 | − | 4.79717e7i | −0.0416534 | − | 0.0135340i | ||||
\(245\) | 5.30963e8 | + | 1.74682e9i | 0.147367 | + | 0.484824i | ||||
\(246\) | 4.83421e8 | + | 1.48782e9i | 0.132003 | + | 0.406264i | ||||
\(247\) | −4.29121e6 | + | 8.42197e6i | −0.00115290 | + | 0.00226270i | ||||
\(248\) | 9.05919e9 | − | 1.43484e9i | 2.39487 | − | 0.379311i | ||||
\(249\) | − | 2.72558e9i | − | 0.709025i | ||||||
\(250\) | −6.03261e9 | − | 3.52214e9i | −1.54435 | − | 0.901668i | ||||
\(251\) | 3.32473e7 | 0.00837649 | 0.00418824 | − | 0.999991i | \(-0.498667\pi\) | ||||
0.00418824 | + | 0.999991i | \(0.498667\pi\) | |||||||
\(252\) | −3.24630e8 | − | 2.04963e9i | −0.0804982 | − | 0.508246i | ||||
\(253\) | 4.30642e9 | + | 2.19423e9i | 1.05108 | + | 0.535550i | ||||
\(254\) | 3.30674e9 | − | 1.07442e9i | 0.794447 | − | 0.258131i | ||||
\(255\) | −1.10457e9 | + | 3.35743e8i | −0.261235 | + | 0.0794048i | ||||
\(256\) | −2.55144e9 | + | 7.85251e9i | −0.594052 | + | 1.82831i | ||||
\(257\) | −3.82900e9 | − | 3.82900e9i | −0.877714 | − | 0.877714i | 0.115583 | − | 0.993298i | \(-0.463126\pi\) |
−0.993298 | + | 0.115583i | \(0.963126\pi\) | |||||||
\(258\) | −3.66617e9 | − | 7.19527e9i | −0.827436 | − | 1.62393i | ||||
\(259\) | −1.75173e9 | − | 2.41105e9i | −0.389285 | − | 0.535805i | ||||
\(260\) | −8.34363e7 | − | 1.71776e8i | −0.0182584 | − | 0.0375897i | ||||
\(261\) | 2.10111e9 | + | 1.52655e9i | 0.452780 | + | 0.328964i | ||||
\(262\) | 8.12995e9 | + | 1.28766e9i | 1.72537 | + | 0.273272i | ||||
\(263\) | 1.31483e9 | − | 8.30153e9i | 0.274820 | − | 1.73514i | −0.334658 | − | 0.942340i | \(-0.608621\pi\) |
0.609478 | − | 0.792803i | \(-0.291379\pi\) | |||||||
\(264\) | −5.41520e9 | + | 7.45338e9i | −1.11480 | + | 1.53440i | ||||
\(265\) | 8.57476e8 | + | 1.52629e8i | 0.173876 | + | 0.0309495i | ||||
\(266\) | 6.79484e8 | − | 4.93674e8i | 0.135723 | − | 0.0986084i | ||||
\(267\) | −5.12379e8 | + | 2.61070e8i | −0.100820 | + | 0.0513703i | ||||
\(268\) | 1.47261e10 | − | 1.47261e10i | 2.85461 | − | 2.85461i | ||||
\(269\) | 6.84036e8 | + | 2.22257e8i | 0.130638 | + | 0.0424469i | 0.373606 | − | 0.927587i | \(-0.378121\pi\) |
−0.242968 | + | 0.970034i | \(0.578121\pi\) | |||||||
\(270\) | 1.49993e9 | − | 1.04664e9i | 0.282238 | − | 0.196944i | ||||
\(271\) | 2.43279e9 | + | 7.48737e9i | 0.451053 | + | 1.38820i | 0.875707 | + | 0.482844i | \(0.160396\pi\) |
−0.424653 | + | 0.905356i | \(0.639604\pi\) | |||||||
\(272\) | 1.91937e9 | − | 3.76697e9i | 0.350657 | − | 0.688203i | ||||
\(273\) | 4.22950e7 | − | 6.69887e6i | 0.00761444 | − | 0.00120601i | ||||
\(274\) | 3.85192e9i | 0.683400i | ||||||||
\(275\) | −8.76299e9 | − | 3.34448e8i | −1.53222 | − | 0.0584787i | ||||
\(276\) | 5.66529e9 | 0.976306 | ||||||||
\(277\) | 1.68153e8 | + | 1.06168e9i | 0.0285619 | + | 0.180333i | 0.997845 | − | 0.0656150i | \(-0.0209009\pi\) |
−0.969283 | + | 0.245948i | \(0.920901\pi\) | |||||||
\(278\) | 1.49395e10 | + | 7.61206e9i | 2.50125 | + | 1.27445i | ||||
\(279\) | −2.17401e9 | + | 7.06379e8i | −0.358794 | + | 0.116579i | ||||
\(280\) | −1.76396e8 | + | 9.24699e9i | −0.0286983 | + | 1.50442i | ||||
\(281\) | −2.06409e9 | + | 6.35261e9i | −0.331057 | + | 1.01889i | 0.637575 | + | 0.770388i | \(0.279938\pi\) |
−0.968632 | + | 0.248500i | \(0.920062\pi\) | |||||||
\(282\) | 6.49881e9 | + | 6.49881e9i | 1.02763 | + | 1.02763i | ||||
\(283\) | 3.53496e9 | + | 6.93774e9i | 0.551110 | + | 1.08161i | 0.983665 | + | 0.180007i | \(0.0576120\pi\) |
−0.432555 | + | 0.901607i | \(0.642388\pi\) | |||||||
\(284\) | 1.11372e10 | + | 1.53290e10i | 1.71200 | + | 2.35636i | ||||
\(285\) | 4.48838e8 | + | 2.39585e8i | 0.0680315 | + | 0.0363145i | ||||
\(286\) | −2.82185e8 | − | 2.05020e8i | −0.0421765 | − | 0.0306430i | ||||
\(287\) | 1.94722e9 | + | 3.08409e8i | 0.287003 | + | 0.0454568i | ||||
\(288\) | −2.79225e8 | + | 1.76296e9i | −0.0405867 | + | 0.256254i | ||||
\(289\) | −3.18324e9 | + | 4.38136e9i | −0.456329 | + | 0.628084i | ||||
\(290\) | −1.47274e10 | − | 1.53002e10i | −2.08225 | − | 2.16324i | ||||
\(291\) | 3.95396e9 | − | 2.87272e9i | 0.551392 | − | 0.400610i | ||||
\(292\) | 7.00923e9 | − | 3.57138e9i | 0.964137 | − | 0.491253i | ||||
\(293\) | 5.90513e9 | − | 5.90513e9i | 0.801234 | − | 0.801234i | −0.182055 | − | 0.983288i | \(-0.558275\pi\) |
0.983288 | + | 0.182055i | \(0.0582748\pi\) | |||||||
\(294\) | 3.71748e9 | + | 1.20788e9i | 0.497576 | + | 0.161672i | ||||
\(295\) | −5.00992e9 | − | 3.78799e9i | −0.661520 | − | 0.500174i | ||||
\(296\) | 4.79244e9 | + | 1.47496e10i | 0.624295 | + | 1.92138i | ||||
\(297\) | 1.04239e9 | − | 2.04580e9i | 0.133968 | − | 0.262928i | ||||
\(298\) | −1.89498e10 | + | 3.00135e9i | −2.40292 | + | 0.380585i | ||||
\(299\) | 1.16906e8i | 0.0146268i | ||||||||
\(300\) | −9.33006e9 | + | 4.31392e9i | −1.15186 | + | 0.532583i | ||||
\(301\) | −1.01770e10 | −1.23980 | ||||||||
\(302\) | −2.47258e9 | − | 1.56112e10i | −0.297250 | − | 1.87676i | ||||
\(303\) | −1.92965e9 | − | 9.83204e8i | −0.228932 | − | 0.116647i | ||||
\(304\) | −1.77201e9 | + | 5.75761e8i | −0.207478 | + | 0.0674137i | ||||
\(305\) | −1.62944e8 | − | 5.64017e7i | −0.0188295 | − | 0.00651768i | ||||
\(306\) | −7.63779e8 | + | 2.35067e9i | −0.0871128 | + | 0.268106i | ||||
\(307\) | 8.20857e9 | + | 8.20857e9i | 0.924090 | + | 0.924090i | 0.997315 | − | 0.0732255i | \(-0.0233293\pi\) |
−0.0732255 | + | 0.997315i | \(0.523329\pi\) | |||||||
\(308\) | 9.67080e9 | + | 1.89800e10i | 1.07463 | + | 2.10908i | ||||
\(309\) | −5.20789e9 | − | 7.16804e9i | −0.571252 | − | 0.786261i | ||||
\(310\) | 1.85139e10 | − | 2.57137e9i | 2.00471 | − | 0.278431i | ||||
\(311\) | −1.29235e10 | − | 9.38950e9i | −1.38146 | − | 1.00369i | −0.996742 | − | 0.0806609i | \(-0.974297\pi\) |
−0.384723 | − | 0.923032i | \(-0.625703\pi\) | |||||||
\(312\) | −2.20098e8 | − | 3.48601e7i | −0.0232272 | − | 0.00367883i | ||||
\(313\) | 1.40216e9 | − | 8.85290e9i | 0.146090 | − | 0.922376i | −0.800359 | − | 0.599522i | \(-0.795358\pi\) |
0.946449 | − | 0.322854i | \(-0.104642\pi\) | |||||||
\(314\) | 6.61780e9 | − | 9.10862e9i | 0.680761 | − | 0.936988i | ||||
\(315\) | −3.17091e8 | − | 2.28305e9i | −0.0322063 | − | 0.231886i | ||||
\(316\) | 1.97193e10 | − | 1.43269e10i | 1.97762 | − | 1.43683i | ||||
\(317\) | −1.48596e9 | + | 7.57134e8i | −0.147153 | + | 0.0749783i | −0.526017 | − | 0.850474i | \(-0.676315\pi\) |
0.378863 | + | 0.925453i | \(0.376315\pi\) | |||||||
\(318\) | 1.31851e9 | − | 1.31851e9i | 0.128937 | − | 0.128937i | ||||
\(319\) | −2.53547e10 | − | 8.23823e9i | −2.44847 | − | 0.795557i | ||||
\(320\) | −8.27784e8 | + | 2.39146e9i | −0.0789436 | + | 0.228068i | ||||
\(321\) | 1.10328e9 | + | 3.39555e9i | 0.103912 | + | 0.319809i | ||||
\(322\) | 4.71596e9 | − | 9.25560e9i | 0.438679 | − | 0.860956i | ||||
\(323\) | −6.79080e8 | + | 1.07556e8i | −0.0623894 | + | 0.00988151i | ||||
\(324\) | − | 2.69134e9i | − | 0.244224i | ||||||
\(325\) | −8.90195e7 | − | 1.92530e8i | −0.00797906 | − | 0.0172569i | ||||
\(326\) | −3.70628e10 | −3.28147 | ||||||||
\(327\) | −1.12885e9 | − | 7.12725e9i | −0.0987288 | − | 0.623349i | ||||
\(328\) | −9.14117e9 | − | 4.65766e9i | −0.789781 | − | 0.402413i | ||||
\(329\) | 1.10156e10 | − | 3.57917e9i | 0.940206 | − | 0.305491i | ||||
\(330\) | −1.13232e10 | + | 1.49758e10i | −0.954800 | + | 1.26280i | ||||
\(331\) | 6.19578e9 | − | 1.90687e10i | 0.516160 | − | 1.58858i | −0.265002 | − | 0.964248i | \(-0.585373\pi\) |
0.781162 | − | 0.624329i | \(-0.214627\pi\) | |||||||
\(332\) | 2.31895e10 | + | 2.31895e10i | 1.90870 | + | 1.90870i | ||||
\(333\) | −1.75472e9 | − | 3.44382e9i | −0.142702 | − | 0.280068i | ||||
\(334\) | 1.71937e9 | + | 2.36651e9i | 0.138160 | + | 0.190161i | ||||
\(335\) | 1.66657e10 | − | 1.60418e10i | 1.32326 | − | 1.27372i | ||||
\(336\) | 6.82895e9 | + | 4.96152e9i | 0.535792 | + | 0.389276i | ||||
\(337\) | −1.00293e10 | − | 1.58848e9i | −0.777590 | − | 0.123158i | −0.244991 | − | 0.969525i | \(-0.578785\pi\) |
−0.532600 | + | 0.846367i | \(0.678785\pi\) | |||||||
\(338\) | −3.64991e9 | + | 2.30446e10i | −0.279651 | + | 1.76564i | ||||
\(339\) | −5.89580e8 | + | 8.11487e8i | −0.0446420 | + | 0.0614445i | ||||
\(340\) | 6.54120e9 | − | 1.22543e10i | 0.489488 | − | 0.917005i | ||||
\(341\) | 1.89833e10 | − | 1.37922e10i | 1.40396 | − | 1.02004i | ||||
\(342\) | 9.70543e8 | − | 4.94517e8i | 0.0709432 | − | 0.0361473i | ||||
\(343\) | 1.03571e10 | − | 1.03571e10i | 0.748279 | − | 0.748279i | ||||
\(344\) | 5.03676e10 | + | 1.63654e10i | 3.59681 | + | 1.16867i | ||||
\(345\) | 6.29148e9 | + | 1.20016e8i | 0.444095 | + | 0.00847158i | ||||
\(346\) | −9.12401e9 | − | 2.80808e10i | −0.636621 | − | 1.95932i | ||||
\(347\) | −4.53054e9 | + | 8.89168e9i | −0.312487 | + | 0.613290i | −0.992821 | − | 0.119613i | \(-0.961835\pi\) |
0.680334 | + | 0.732902i | \(0.261835\pi\) | |||||||
\(348\) | −3.08644e10 | + | 4.88845e9i | −2.10446 | + | 0.333314i | ||||
\(349\) | 1.73335e10i | 1.16838i | 0.811615 | + | 0.584192i | \(0.198589\pi\) | ||||
−0.811615 | + | 0.584192i | \(0.801411\pi\) | |||||||
\(350\) | −7.18815e8 | + | 1.88339e10i | −0.0479010 | + | 1.25507i | ||||
\(351\) | 5.55369e7 | 0.00365892 | ||||||||
\(352\) | −2.86625e9 | − | 1.80968e10i | −0.186699 | − | 1.17877i | ||||
\(353\) | 8.69236e9 | + | 4.42898e9i | 0.559807 | + | 0.285236i | 0.710911 | − | 0.703282i | \(-0.248283\pi\) |
−0.151104 | + | 0.988518i | \(0.548283\pi\) | |||||||
\(354\) | −1.27886e10 | + | 4.15528e9i | −0.814351 | + | 0.264599i | ||||
\(355\) | 1.20435e10 | + | 1.72593e10i | 0.758294 | + | 1.08670i | ||||
\(356\) | 2.13816e9 | − | 6.58057e9i | 0.133119 | − | 0.409698i | ||||
\(357\) | 2.20253e9 | + | 2.20253e9i | 0.135597 | + | 0.135597i | ||||
\(358\) | −1.58969e10 | − | 3.11994e10i | −0.967787 | − | 1.89939i | ||||
\(359\) | −1.40206e10 | − | 1.92978e10i | −0.844092 | − | 1.16179i | −0.985134 | − | 0.171790i | \(-0.945045\pi\) |
0.141041 | − | 0.990004i | \(-0.454955\pi\) | |||||||
\(360\) | −2.10201e9 | + | 1.18092e10i | −0.125148 | + | 0.703086i | ||||
\(361\) | −1.34949e10 | − | 9.80459e9i | −0.794583 | − | 0.577299i | ||||
\(362\) | −2.66387e10 | − | 4.21916e9i | −1.55124 | − | 0.245692i | ||||
\(363\) | −2.11881e9 | + | 1.33777e10i | −0.122030 | + | 0.770466i | ||||
\(364\) | −3.02855e8 | + | 4.16843e8i | −0.0172516 | + | 0.0237447i | ||||
\(365\) | 7.85962e9 | − | 3.81764e9i | 0.442823 | − | 0.215091i | ||||
\(366\) | −2.98658e8 | + | 2.16988e8i | −0.0166437 | + | 0.0120924i | ||||
\(367\) | −1.17484e10 | + | 5.98612e9i | −0.647613 | + | 0.329975i | −0.746756 | − | 0.665098i | \(-0.768390\pi\) |
0.0991432 | + | 0.995073i | \(0.468390\pi\) | |||||||
\(368\) | −1.62947e10 | + | 1.62947e10i | −0.888497 | + | 0.888497i | ||||
\(369\) | 2.43172e9 | + | 7.90113e8i | 0.131162 | + | 0.0426171i | ||||
\(370\) | 9.19133e9 | + | 3.02387e10i | 0.490424 | + | 1.61345i | ||||
\(371\) | −7.26163e8 | − | 2.23490e9i | −0.0383299 | − | 0.117967i | ||||
\(372\) | 1.24867e10 | − | 2.45066e10i | 0.652044 | − | 1.27971i | ||||
\(373\) | 1.92923e10 | − | 3.05561e9i | 0.996666 | − | 0.157856i | 0.363270 | − | 0.931684i | \(-0.381660\pi\) |
0.633396 | + | 0.773828i | \(0.281660\pi\) | |||||||
\(374\) | − | 2.53714e10i | − | 1.29676i | ||||||
\(375\) | −1.04527e10 | + | 4.59309e9i | −0.528571 | + | 0.232263i | ||||
\(376\) | −6.02736e10 | −3.01561 | ||||||||
\(377\) | −1.00875e8 | − | 6.36900e8i | −0.00499365 | − | 0.0315287i | ||||
\(378\) | −4.39694e9 | − | 2.24035e9i | −0.215369 | − | 0.109736i | ||||
\(379\) | 6.78465e9 | − | 2.20447e9i | 0.328829 | − | 0.106843i | −0.139950 | − | 0.990159i | \(-0.544694\pi\) |
0.468779 | + | 0.883315i | \(0.344694\pi\) | |||||||
\(380\) | −5.85716e9 | + | 1.78034e9i | −0.280900 | + | 0.0853824i | ||||
\(381\) | 1.75606e9 | − | 5.40460e9i | 0.0833374 | − | 0.256486i | ||||
\(382\) | −3.59291e9 | − | 3.59291e9i | −0.168730 | − | 0.168730i | ||||
\(383\) | 1.30369e10 | + | 2.55864e10i | 0.605870 | + | 1.18909i | 0.966569 | + | 0.256405i | \(0.0825380\pi\) |
−0.360699 | + | 0.932682i | \(0.617462\pi\) | |||||||
\(384\) | 8.92786e9 | + | 1.22881e10i | 0.410603 | + | 0.565147i | ||||
\(385\) | 1.03376e10 | + | 2.12827e10i | 0.470520 | + | 0.968689i | ||||
\(386\) | −1.22032e10 | − | 8.86614e9i | −0.549698 | − | 0.399379i | ||||
\(387\) | −1.30362e10 | − | 2.06473e9i | −0.581174 | − | 0.0920490i | ||||
\(388\) | −9.19928e9 | + | 5.80820e10i | −0.405907 | + | 2.56280i | ||||
\(389\) | 4.47455e8 | − | 6.15869e8i | 0.0195412 | − | 0.0268961i | −0.799135 | − | 0.601152i | \(-0.794709\pi\) |
0.818676 | + | 0.574256i | \(0.194709\pi\) | |||||||
\(390\) | −4.47095e8 | − | 7.95821e7i | −0.0193260 | − | 0.00343999i | ||||
\(391\) | −6.87956e9 | + | 4.99830e9i | −0.294343 | + | 0.213853i | ||||
\(392\) | −2.28403e10 | + | 1.16377e10i | −0.967291 | + | 0.492859i | ||||
\(393\) | 9.51298e9 | − | 9.51298e9i | 0.398792 | − | 0.398792i | ||||
\(394\) | −6.89220e10 | − | 2.23941e10i | −2.86005 | − | 0.929286i | ||||
\(395\) | 2.22024e10 | − | 1.54927e10i | 0.912035 | − | 0.636414i | ||||
\(396\) | 8.53710e9 | + | 2.62745e10i | 0.347160 | + | 1.06845i | ||||
\(397\) | −9.35422e9 | + | 1.83587e10i | −0.376570 | + | 0.739060i | −0.999050 | − | 0.0435753i | \(-0.986125\pi\) |
0.622480 | + | 0.782636i | \(0.286125\pi\) | |||||||
\(398\) | −7.92005e10 | + | 1.25441e10i | −3.15643 | + | 0.499929i | ||||
\(399\) | − | 1.37273e9i | − | 0.0541619i | ||||||
\(400\) | 1.44276e10 | − | 3.92434e10i | 0.563579 | − | 1.53294i | ||||
\(401\) | −2.76174e10 | −1.06808 | −0.534042 | − | 0.845458i | \(-0.679328\pi\) | ||||
−0.534042 | + | 0.845458i | \(0.679328\pi\) | |||||||
\(402\) | −7.74725e9 | − | 4.89142e10i | −0.296649 | − | 1.87297i | ||||
\(403\) | 5.05703e8 | + | 2.57668e8i | 0.0191723 | + | 0.00976880i | ||||
\(404\) | 2.47828e10 | − | 8.05241e9i | 0.930303 | − | 0.302274i | ||||
\(405\) | 5.70147e7 | − | 2.98881e9i | 0.00211918 | − | 0.111091i | ||||
\(406\) | −1.77061e10 | + | 5.44937e10i | −0.651656 | + | 2.00559i | ||||
\(407\) | 2.80546e10 | + | 2.80546e10i | 1.02241 | + | 1.02241i | ||||
\(408\) | −7.35886e9 | − | 1.44426e10i | −0.265564 | − | 0.521199i | ||||
\(409\) | 1.80073e10 | + | 2.47849e10i | 0.643510 | + | 0.885715i | 0.998797 | − | 0.0490423i | \(-0.0156169\pi\) |
−0.355287 | + | 0.934757i | \(0.615617\pi\) | |||||||
\(410\) | −1.84441e10 | − | 9.84529e9i | −0.652714 | − | 0.348412i | ||||
\(411\) | 5.09329e9 | + | 3.70049e9i | 0.178497 | + | 0.129686i | ||||
\(412\) | 1.05295e11 | + | 1.66772e10i | 3.65444 | + | 0.578806i | ||||
\(413\) | −2.65096e9 | + | 1.67375e10i | −0.0911176 | + | 0.575294i | ||||
\(414\) | 7.91872e9 | − | 1.08992e10i | 0.269559 | − | 0.371016i | ||||
\(415\) | 2.52613e10 | + | 2.62438e10i | 0.851655 | + | 0.884779i | ||||
\(416\) | 3.58541e8 | − | 2.60495e8i | 0.0119720 | − | 0.00869813i | ||||
\(417\) | 2.44175e10 | − | 1.24413e10i | 0.807526 | − | 0.411455i | ||||
\(418\) | −7.90640e9 | + | 7.90640e9i | −0.258984 | + | 0.258984i | ||||
\(419\) | 2.44771e10 | + | 7.95311e9i | 0.794154 | + | 0.258036i | 0.677872 | − | 0.735180i | \(-0.262902\pi\) |
0.116282 | + | 0.993216i | \(0.462902\pi\) | |||||||
\(420\) | 2.21222e10 | + | 1.67266e10i | 0.710938 | + | 0.537539i | ||||
\(421\) | 3.14949e9 | + | 9.69314e9i | 0.100256 | + | 0.308558i | 0.988588 | − | 0.150645i | \(-0.0481351\pi\) |
−0.888331 | + | 0.459203i | \(0.848135\pi\) | |||||||
\(422\) | −2.84289e10 | + | 5.57948e10i | −0.896417 | + | 1.75932i | ||||
\(423\) | 1.48365e10 | − | 2.34988e9i | 0.463416 | − | 0.0733979i | ||||
\(424\) | 1.22286e10i | 0.378368i | ||||||||
\(425\) | 7.52380e9 | − | 1.34701e10i | 0.230612 | − | 0.412873i | ||||
\(426\) | 4.50579e10 | 1.36815 | ||||||||
\(427\) | 7.27781e7 | + | 4.59503e8i | 0.00218922 | + | 0.0138222i | ||||
\(428\) | −3.82764e10 | − | 1.95028e10i | −1.14066 | − | 0.581195i | ||||
\(429\) | −5.42184e8 | + | 1.76166e8i | −0.0160073 | + | 0.00520109i | ||||
\(430\) | 1.01988e11 | + | 3.53022e10i | 2.98315 | + | 1.03259i | ||||
\(431\) | 8.28659e9 | − | 2.55035e10i | 0.240141 | − | 0.739079i | −0.756256 | − | 0.654275i | \(-0.772974\pi\) |
0.996398 | − | 0.0848034i | \(-0.0270262\pi\) | |||||||
\(432\) | 7.74094e9 | + | 7.74094e9i | 0.222259 | + | 0.222259i | ||||
\(433\) | −2.29318e10 | − | 4.50061e10i | −0.652358 | − | 1.28032i | −0.945925 | − | 0.324386i | \(-0.894842\pi\) |
0.293567 | − | 0.955938i | \(-0.405158\pi\) | |||||||
\(434\) | −2.96430e10 | − | 4.08001e10i | −0.835532 | − | 1.15001i | ||||
\(435\) | −3.43794e10 | + | 4.77492e9i | −0.960156 | + | 0.133355i | ||||
\(436\) | 7.02436e10 | + | 5.10349e10i | 1.94384 | + | 1.41228i | ||||
\(437\) | 3.70145e9 | + | 5.86252e8i | 0.101495 | + | 0.0160753i | ||||
\(438\) | 2.92641e9 | − | 1.84766e10i | 0.0795132 | − | 0.502027i | ||||
\(439\) | 2.69901e10 | − | 3.71487e10i | 0.726686 | − | 1.00020i | −0.272589 | − | 0.962131i | \(-0.587880\pi\) |
0.999275 | − | 0.0380674i | \(-0.0121202\pi\) | |||||||
\(440\) | −1.69383e10 | − | 1.21956e11i | −0.451917 | − | 3.25381i | ||||
\(441\) | 5.16849e9 | − | 3.75513e9i | 0.136650 | − | 0.0992820i | ||||
\(442\) | 5.46796e8 | − | 2.78607e8i | 0.0143264 | − | 0.00729965i | ||||
\(443\) | −3.22221e10 | + | 3.22221e10i | −0.836640 | + | 0.836640i | −0.988415 | − | 0.151775i | \(-0.951501\pi\) |
0.151775 | + | 0.988415i | \(0.451501\pi\) | |||||||
\(444\) | 4.42296e10 | + | 1.43711e10i | 1.13810 | + | 0.369792i | ||||
\(445\) | 2.51389e9 | − | 7.26262e9i | 0.0641072 | − | 0.185205i | ||||
\(446\) | −1.17617e10 | − | 3.61988e10i | −0.297256 | − | 0.914860i | ||||
\(447\) | −1.42362e10 | + | 2.79402e10i | −0.356586 | + | 0.699840i | ||||
\(448\) | 6.74392e9 | − | 1.06813e9i | 0.167417 | − | 0.0265163i | ||||
\(449\) | − | 4.25193e10i | − | 1.04617i | −0.852281 | − | 0.523084i | \(-0.824782\pi\) | ||
0.852281 | − | 0.523084i | \(-0.175218\pi\) | |||||||
\(450\) | −4.74184e9 | + | 2.39795e10i | −0.115637 | + | 0.584776i | ||||
\(451\) | −2.62462e10 | −0.634396 | ||||||||
\(452\) | −1.88800e9 | − | 1.19204e10i | −0.0452323 | − | 0.285586i | ||||
\(453\) | −2.30177e10 | − | 1.17281e10i | −0.546600 | − | 0.278506i | ||||
\(454\) | −6.32387e10 | + | 2.05475e10i | −1.48854 | + | 0.483655i | ||||
\(455\) | −3.45160e8 | + | 4.56501e8i | −0.00805331 | + | 0.0106511i | ||||
\(456\) | −2.20747e9 | + | 6.79389e9i | −0.0510547 | + | 0.157130i | ||||
\(457\) | −1.21288e10 | − | 1.21288e10i | −0.278069 | − | 0.278069i | 0.554269 | − | 0.832338i | \(-0.312998\pi\) |
−0.832338 | + | 0.554269i | \(0.812998\pi\) | |||||||
\(458\) | −8.14036e9 | − | 1.59763e10i | −0.185004 | − | 0.363091i | ||||
\(459\) | 2.37448e9 | + | 3.26819e9i | 0.0534955 | + | 0.0736303i | ||||
\(460\) | −5.45495e10 | + | 5.25073e10i | −1.21831 | + | 1.17270i | ||||
\(461\) | 3.57442e10 | + | 2.59697e10i | 0.791410 | + | 0.574993i | 0.908382 | − | 0.418142i | \(-0.137319\pi\) |
−0.116971 | + | 0.993135i | \(0.537319\pi\) | |||||||
\(462\) | 5.00322e10 | + | 7.92432e9i | 1.09820 | + | 0.173938i | ||||
\(463\) | −2.16474e9 | + | 1.36676e10i | −0.0471065 | + | 0.297419i | −0.999982 | − | 0.00594179i | \(-0.998109\pi\) |
0.952876 | + | 0.303361i | \(0.0981087\pi\) | |||||||
\(464\) | 7.47132e10 | − | 1.02834e11i | 1.61185 | − | 2.21852i | ||||
\(465\) | 1.43860e10 | − | 2.69508e10i | 0.307701 | − | 0.576447i | ||||
\(466\) | 3.06151e10 | − | 2.22432e10i | 0.649221 | − | 0.471687i | ||||
\(467\) | −5.82047e10 | + | 2.96568e10i | −1.22374 | + | 0.623529i | −0.941888 | − | 0.335928i | \(-0.890950\pi\) |
−0.281857 | + | 0.959457i | \(0.590950\pi\) | |||||||
\(468\) | −4.72512e8 | + | 4.72512e8i | −0.00984984 | + | 0.00984984i | ||||
\(469\) | −5.93572e10 | − | 1.92863e10i | −1.22682 | − | 0.398619i | ||||
\(470\) | −1.22808e11 | − | 2.34268e9i | −2.51671 | − | 0.0480089i | ||||
\(471\) | −5.68645e9 | − | 1.75011e10i | −0.115547 | − | 0.355616i | ||||
\(472\) | 4.00353e10 | − | 7.85738e10i | 0.806632 | − | 1.58310i | ||||
\(473\) | 1.33817e11 | − | 2.11945e10i | 2.67341 | − | 0.423426i | ||||
\(474\) | − | 5.79627e10i | − | 1.14825i | ||||||
\(475\) | −6.54226e9 | + | 1.85304e9i | −0.128515 | + | 0.0364007i | ||||
\(476\) | −3.74786e10 | −0.730055 | ||||||||
\(477\) | −4.76756e8 | − | 3.01012e9i | −0.00920922 | − | 0.0581447i | ||||
\(478\) | −2.17714e10 | − | 1.10931e10i | −0.417036 | − | 0.212491i | ||||
\(479\) | −5.41017e10 | + | 1.75787e10i | −1.02771 | + | 0.333922i | −0.773883 | − | 0.633329i | \(-0.781688\pi\) |
−0.253823 | + | 0.967251i | \(0.581688\pi\) | |||||||
\(480\) | −1.36509e10 | − | 1.95629e10i | −0.257156 | − | 0.368526i | ||||
\(481\) | −2.96553e8 | + | 9.12695e8i | −0.00554015 | + | 0.0170508i | ||||
\(482\) | 9.40010e10 | + | 9.40010e10i | 1.74158 | + | 1.74158i | ||||
\(483\) | −7.70787e9 | − | 1.51276e10i | −0.141627 | − | 0.277959i | ||||
\(484\) | −9.57912e10 | − | 1.31845e11i | −1.74560 | − | 2.40261i | ||||
\(485\) | −1.14465e10 | + | 6.43068e10i | −0.206874 | + | 1.16222i | ||||
\(486\) | −5.17774e9 | − | 3.76185e9i | −0.0928100 | − | 0.0674304i | ||||
\(487\) | 4.94128e10 | + | 7.82622e9i | 0.878463 | + | 0.139135i | 0.579346 | − | 0.815082i | \(-0.303308\pi\) |
0.299117 | + | 0.954216i | \(0.403308\pi\) | |||||||
\(488\) | 3.78728e8 | − | 2.39120e9i | 0.00667803 | − | 0.0421634i | ||||
\(489\) | −3.56059e10 | + | 4.90073e10i | −0.622710 | + | 0.857087i | ||||
\(490\) | −4.69895e10 | + | 2.28241e10i | −0.815110 | + | 0.395922i | ||||
\(491\) | 3.05914e10 | − | 2.22260e10i | 0.526349 | − | 0.382415i | −0.292642 | − | 0.956222i | \(-0.594534\pi\) |
0.818990 | + | 0.573808i | \(0.194534\pi\) | |||||||
\(492\) | −2.74116e10 | + | 1.39669e10i | −0.467815 | + | 0.238363i | ||||
\(493\) | 3.31669e10 | − | 3.31669e10i | 0.561457 | − | 0.561457i | ||||
\(494\) | −2.57217e8 | − | 8.35749e7i | −0.00431909 | − | 0.00140336i | ||||
\(495\) | 8.92409e9 | + | 2.93595e10i | 0.148643 | + | 0.489021i | ||||
\(496\) | 3.45720e10 | + | 1.06402e11i | 0.571212 | + | 1.75801i | ||||
\(497\) | 2.57792e10 | − | 5.05946e10i | 0.422517 | − | 0.829236i | ||||
\(498\) | 7.70264e10 | − | 1.21998e10i | 1.25234 | − | 0.198351i | ||||
\(499\) | 8.30082e10i | 1.33881i | 0.742898 | + | 0.669405i | \(0.233451\pi\) | ||||
−0.742898 | + | 0.669405i | \(0.766549\pi\) | |||||||
\(500\) | 4.98541e10 | − | 1.28011e11i | 0.797665 | − | 2.04817i | ||||
\(501\) | 4.78095e9 | 0.0758863 | ||||||||
\(502\) | 1.48816e8 | + | 9.39587e8i | 0.00234334 | + | 0.0147952i | ||||
\(503\) | 3.15882e10 | + | 1.60950e10i | 0.493461 | + | 0.251431i | 0.682968 | − | 0.730449i | \(-0.260689\pi\) |
−0.189507 | + | 0.981879i | \(0.560689\pi\) | |||||||
\(504\) | 3.07790e10 | − | 1.00007e10i | 0.477015 | − | 0.154992i | ||||
\(505\) | 2.76926e10 | − | 8.41743e9i | 0.425792 | − | 0.129424i | ||||
\(506\) | −4.27344e10 | + | 1.31523e11i | −0.651893 | + | 2.00632i | ||||
\(507\) | 2.69649e10 | + | 2.69649e10i | 0.408101 | + | 0.408101i | ||||
\(508\) | 3.10421e10 | + | 6.09235e10i | 0.466118 | + | 0.914808i | ||||
\(509\) | −1.94805e10 | − | 2.68126e10i | −0.290221 | − | 0.399455i | 0.638865 | − | 0.769319i | \(-0.279404\pi\) |
−0.929086 | + | 0.369864i | \(0.879404\pi\) | |||||||
\(510\) | −1.44323e10 | − | 2.97128e10i | −0.213332 | − | 0.439201i | ||||
\(511\) | −1.90727e10 | − | 1.38571e10i | −0.279724 | − | 0.203231i | ||||
\(512\) | −1.51214e11 | − | 2.39499e10i | −2.20045 | − | 0.348517i | ||||
\(513\) | 2.78503e8 | − | 1.75840e9i | 0.00402125 | − | 0.0253892i | ||||
\(514\) | 9.10709e10 | − | 1.25348e11i | 1.30475 | − | 1.79583i | ||||
\(515\) | 1.16580e11 | + | 2.07511e10i | 1.65728 | + | 0.294993i | ||||
\(516\) | 1.28480e11 | − | 9.33460e10i | 1.81232 | − | 1.31673i | ||||
\(517\) | −1.37389e11 | + | 7.00034e10i | −1.92305 | + | 0.979843i | ||||
\(518\) | 6.02966e10 | − | 6.02966e10i | 0.837479 | − | 0.837479i | ||||
\(519\) | −4.58959e10 | − | 1.49125e10i | −0.632564 | − | 0.205532i | ||||
\(520\) | 2.44235e9 | − | 1.70426e9i | 0.0334037 | − | 0.0233089i | ||||
\(521\) | −3.81591e10 | − | 1.17442e11i | −0.517902 | − | 1.59394i | −0.777939 | − | 0.628339i | \(-0.783735\pi\) |
0.260037 | − | 0.965599i | \(-0.416265\pi\) | |||||||
\(522\) | −3.37364e10 | + | 6.62115e10i | −0.454378 | + | 0.891766i | ||||
\(523\) | 7.43533e10 | − | 1.17764e10i | 0.993787 | − | 0.157400i | 0.361697 | − | 0.932296i | \(-0.382197\pi\) |
0.632090 | + | 0.774895i | \(0.282197\pi\) | |||||||
\(524\) | 1.61874e11i | 2.14710i | ||||||||
\(525\) | 2.42131e10 | + | 1.90440e10i | 0.318722 | + | 0.250681i | ||||
\(526\) | 2.40491e11 | 3.14163 | ||||||||
\(527\) | 6.45825e9 | + | 4.07758e10i | 0.0837284 | + | 0.528640i | ||||
\(528\) | −1.00126e11 | − | 5.10170e10i | −1.28829 | − | 0.656416i | ||||
\(529\) | −3.03963e10 | + | 9.87634e9i | −0.388148 | + | 0.126117i | ||||
\(530\) | −4.75297e8 | + | 2.49159e10i | −0.00602367 | + | 0.315772i | ||||
\(531\) | −6.79149e9 | + | 2.09020e10i | −0.0854253 | + | 0.262912i | ||||
\(532\) | 1.16793e10 | + | 1.16793e10i | 0.145804 | + | 0.145804i | ||||
\(533\) | −2.88213e8 | − | 5.65649e8i | −0.00357112 | − | 0.00700871i | ||||
\(534\) | −9.67141e9 | − | 1.33116e10i | −0.118939 | − | 0.163706i | ||||
\(535\) | −4.20939e10 | − | 2.24693e10i | −0.513812 | − | 0.274268i | ||||
\(536\) | 2.62755e11 | + | 1.90903e11i | 3.18341 | + | 2.31288i | ||||
\(537\) | −5.65261e10 | − | 8.95286e9i | −0.679754 | − | 0.107663i | ||||
\(538\) | −3.21933e9 | + | 2.03260e10i | −0.0384270 | + | 0.242618i | ||||
\(539\) | −3.85464e10 | + | 5.30546e10i | −0.456698 | + | 0.628591i | ||||
\(540\) | 2.49440e10 | + | 2.59141e10i | 0.293353 | + | 0.304763i | ||||
\(541\) | 7.44451e10 | − | 5.40876e10i | 0.869055 | − | 0.631405i | −0.0612781 | − | 0.998121i | \(-0.519518\pi\) |
0.930333 | + | 0.366715i | \(0.119518\pi\) | |||||||
\(542\) | −2.00708e11 | + | 1.02266e11i | −2.32577 | + | 1.18504i | ||||
\(543\) | −3.11704e10 | + | 3.11704e10i | −0.358544 | + | 0.358544i | ||||
\(544\) | 3.06588e10 | + | 9.96165e9i | 0.350074 | + | 0.113746i | ||||
\(545\) | 7.69264e10 | + | 5.81639e10i | 0.871946 | + | 0.659276i | ||||
\(546\) | 3.78627e8 | + | 1.16529e9i | 0.00426031 | + | 0.0131119i | ||||
\(547\) | 2.64457e10 | − | 5.19026e10i | 0.295397 | − | 0.579749i | −0.694837 | − | 0.719168i | \(-0.744523\pi\) |
0.990234 | + | 0.139419i | \(0.0445234\pi\) | |||||||
\(548\) | −7.48182e10 | + | 1.18500e10i | −0.829632 | + | 0.131401i | ||||
\(549\) | 6.03366e8i | 0.00664189i | ||||||||
\(550\) | −2.97717e10 | − | 2.49144e11i | −0.325352 | − | 2.72270i | ||||
\(551\) | −2.06713e10 | −0.224265 | ||||||||
\(552\) | 1.38212e10 | + | 8.72639e10i | 0.148864 | + | 0.939893i | ||||
\(553\) | −6.50850e10 | − | 3.31625e10i | −0.695954 | − | 0.354606i | ||||
\(554\) | −2.92510e10 | + | 9.50421e9i | −0.310528 | + | 0.100897i | ||||
\(555\) | 4.88138e10 | + | 1.68965e10i | 0.514483 | + | 0.178084i | ||||
\(556\) | −1.01894e11 | + | 3.13597e11i | −1.06623 | + | 3.28151i | ||||
\(557\) | 4.79795e9 | + | 4.79795e9i | 0.0498466 | + | 0.0498466i | 0.731591 | − | 0.681744i | \(-0.238778\pi\) |
−0.681744 | + | 0.731591i | \(0.738778\pi\) | |||||||
\(558\) | −2.96936e10 | − | 5.82769e10i | −0.306285 | − | 0.601118i | ||||
\(559\) | 1.92623e9 | + | 2.65123e9i | 0.0197270 | + | 0.0271519i | ||||
\(560\) | −1.11738e11 | + | 1.55192e10i | −1.13619 | + | 0.157804i | ||||
\(561\) | −3.35480e10 | − | 2.43740e10i | −0.338700 | − | 0.246080i | ||||
\(562\) | −1.88767e11 | − | 2.98977e10i | −1.89226 | − | 0.299704i | ||||
\(563\) | 1.72192e10 | − | 1.08718e11i | 0.171388 | − | 1.08210i | −0.740618 | − | 0.671926i | \(-0.765467\pi\) |
0.912006 | − | 0.410176i | \(-0.134533\pi\) | |||||||
\(564\) | −1.06237e11 | + | 1.46223e11i | −1.04993 | + | 1.44511i | ||||
\(565\) | −1.84416e9 | − | 1.32779e10i | −0.0180969 | − | 0.130298i | ||||
\(566\) | −1.80242e11 | + | 1.30953e11i | −1.75626 | + | 1.27600i | ||||
\(567\) | −7.18646e9 | + | 3.66168e9i | −0.0695317 | + | 0.0354282i | ||||
\(568\) | −2.08946e11 | + | 2.08946e11i | −2.00743 | + | 2.00743i | ||||
\(569\) | 1.07319e11 | + | 3.48701e10i | 1.02383 | + | 0.332663i | 0.772349 | − | 0.635199i | \(-0.219082\pi\) |
0.251483 | + | 0.967862i | \(0.419082\pi\) | |||||||
\(570\) | −4.76179e9 | + | 1.37568e10i | −0.0451098 | + | 0.130322i | ||||
\(571\) | −5.88298e10 | − | 1.81059e11i | −0.553417 | − | 1.70324i | −0.700087 | − | 0.714058i | \(-0.746855\pi\) |
0.146669 | − | 0.989186i | \(-0.453145\pi\) | |||||||
\(572\) | 3.11411e9 | − | 6.11179e9i | 0.0290904 | − | 0.0570932i | ||||
\(573\) | −8.20247e9 | + | 1.29914e9i | −0.0760898 | + | 0.0120514i | ||||
\(574\) | 5.64098e10i | 0.519645i | ||||||||
\(575\) | −6.16911e10 | + | 5.71553e10i | −0.564354 | + | 0.522859i | ||||
\(576\) | 8.85534e9 | 0.0804480 | ||||||||
\(577\) | −1.93795e10 | − | 1.22357e11i | −0.174839 | − | 1.10389i | −0.906495 | − | 0.422217i | \(-0.861252\pi\) |
0.731656 | − | 0.681674i | \(-0.238748\pi\) | |||||||
\(578\) | −1.38068e11 | − | 7.03491e10i | −1.23703 | − | 0.630299i | ||||
\(579\) | −2.34469e10 | + | 7.61838e9i | −0.208628 | + | 0.0677873i | ||||
\(580\) | 2.51878e11 | − | 3.33128e11i | 2.22576 | − | 2.94374i | ||||
\(581\) | 3.03706e10 | − | 9.34711e10i | 0.266532 | − | 0.820300i | ||||
\(582\) | 9.88826e10 | + | 9.88826e10i | 0.861843 | + | 0.861843i | ||||
\(583\) | 1.42027e10 | + | 2.78743e10i | 0.122941 | + | 0.241285i | ||||
\(584\) | 7.21108e10 | + | 9.92520e10i | 0.619939 | + | 0.853273i | ||||
\(585\) | −5.34748e8 | + | 5.14728e8i | −0.00456590 | + | 0.00439496i | ||||
\(586\) | 1.93314e11 | + | 1.40451e11i | 1.63935 | + | 1.19106i | ||||
\(587\) | −6.50213e10 | − | 1.02984e10i | −0.547650 | − | 0.0867393i | −0.123523 | − | 0.992342i | \(-0.539419\pi\) |
−0.424128 | + | 0.905602i | \(0.639419\pi\) | |||||||
\(588\) | −1.20250e10 | + | 7.59229e10i | −0.100595 | + | 0.635131i | ||||
\(589\) | 1.06942e10 | − | 1.47194e10i | 0.0888564 | − | 0.122300i | ||||
\(590\) | 8.46261e10 | − | 1.58538e11i | 0.698387 | − | 1.30836i | ||||
\(591\) | −9.58238e10 | + | 6.96201e10i | −0.785459 | + | 0.570669i | ||||
\(592\) | −1.68550e11 | + | 8.58803e10i | −1.37227 | + | 0.699208i | ||||
\(593\) | −2.34786e10 | + | 2.34786e10i | −0.189869 | + | 0.189869i | −0.795639 | − | 0.605771i | \(-0.792865\pi\) |
0.605771 | + | 0.795639i | \(0.292865\pi\) | |||||||
\(594\) | 6.24810e10 | + | 2.03013e10i | 0.501883 | + | 0.163072i | ||||
\(595\) | −4.16211e10 | − | 7.93966e8i | −0.332082 | − | 0.00633482i | ||||
\(596\) | −1.16594e11 | − | 3.58840e11i | −0.924042 | − | 2.84391i | ||||
\(597\) | −5.95003e10 | + | 1.16776e11i | −0.468405 | + | 0.919297i | ||||
\(598\) | −3.30381e9 | + | 5.23273e8i | −0.0258351 | + | 0.00409188i | ||||
\(599\) | 8.17773e10i | 0.635222i | 0.948221 | + | 0.317611i | \(0.102881\pi\) | ||||
−0.948221 | + | 0.317611i | \(0.897119\pi\) | |||||||
\(600\) | −8.92103e10 | − | 1.33189e11i | −0.688351 | − | 1.02769i | ||||
\(601\) | 6.32173e10 | 0.484549 | 0.242275 | − | 0.970208i | \(-0.422107\pi\) | ||||
0.242275 | + | 0.970208i | \(0.422107\pi\) | |||||||
\(602\) | −4.55523e10 | − | 2.87606e11i | −0.346836 | − | 2.18984i | ||||
\(603\) | −7.21208e10 | − | 3.67474e10i | −0.545495 | − | 0.277944i | ||||
\(604\) | 2.95620e11 | − | 9.60528e10i | 2.22119 | − | 0.721709i | ||||
\(605\) | −1.03586e11 | − | 1.48447e11i | −0.773177 | − | 1.10803i | ||||
\(606\) | 1.91487e10 | − | 5.89337e10i | 0.141987 | − | 0.436992i | ||||
\(607\) | −2.21158e10 | − | 2.21158e10i | −0.162910 | − | 0.162910i | 0.620945 | − | 0.783855i | \(-0.286749\pi\) |
−0.783855 | + | 0.620945i | \(0.786749\pi\) | |||||||
\(608\) | −6.44977e9 | − | 1.26584e10i | −0.0471987 | − | 0.0926327i | ||||
\(609\) | 5.50456e10 | + | 7.57638e10i | 0.400178 | + | 0.550798i | ||||
\(610\) | 8.64600e8 | − | 4.85735e9i | 0.00624447 | − | 0.0350816i | ||||
\(611\) | −3.01738e9 | − | 2.19225e9i | −0.0216503 | − | 0.0157299i | ||||
\(612\) | −4.80082e10 | − | 7.60376e9i | −0.342224 | − | 0.0542029i | ||||
\(613\) | −3.35050e9 | + | 2.11542e10i | −0.0237284 | + | 0.149815i | −0.996708 | − | 0.0810764i | \(-0.974164\pi\) |
0.972980 | + | 0.230891i | \(0.0741642\pi\) | |||||||
\(614\) | −1.95237e11 | + | 2.68720e11i | −1.37369 | + | 1.89072i | ||||
\(615\) | −3.07373e10 | + | 1.49300e10i | −0.214865 | + | 0.104366i | ||||
\(616\) | −2.68760e11 | + | 1.95266e11i | −1.86656 | + | 1.35614i | ||||
\(617\) | −1.23068e11 | + | 6.27063e10i | −0.849190 | + | 0.432684i | −0.823723 | − | 0.566992i | \(-0.808107\pi\) |
−0.0254664 | + | 0.999676i | \(0.508107\pi\) | |||||||
\(618\) | 1.79262e11 | − | 1.79262e11i | 1.22895 | − | 1.22895i | ||||
\(619\) | −8.03479e10 | − | 2.61066e10i | −0.547283 | − | 0.177823i | 0.0223084 | − | 0.999751i | \(-0.492898\pi\) |
−0.569591 | + | 0.821928i | \(0.692898\pi\) | |||||||
\(620\) | 1.06902e11 | + | 3.51697e11i | 0.723465 | + | 2.38013i | ||||
\(621\) | −6.80429e9 | − | 2.09414e10i | −0.0457526 | − | 0.140812i | ||||
\(622\) | 2.07506e11 | − | 4.07254e11i | 1.38634 | − | 2.72084i | ||||
\(623\) | −2.04806e10 | + | 3.24381e9i | −0.135954 | + | 0.0215329i | ||||
\(624\) | − | 2.71811e9i | − | 0.0179279i | ||||||
\(625\) | 5.80762e10 | − | 1.41104e11i | 0.380608 | − | 0.924736i | ||||
\(626\) | 2.56464e11 | 1.67005 | ||||||||
\(627\) | 2.85884e9 | + | 1.80500e10i | 0.0184978 | + | 0.116790i | ||||
\(628\) | 1.97281e11 | + | 1.00520e11i | 1.26837 | + | 0.646269i | ||||
\(629\) | −6.63887e10 | + | 2.15710e10i | −0.424123 | + | 0.137806i | ||||
\(630\) | 6.31010e10 | − | 1.91802e10i | 0.400566 | − | 0.121756i | ||||
\(631\) | 1.70632e10 | − | 5.25152e10i | 0.107632 | − | 0.331259i | −0.882707 | − | 0.469924i | \(-0.844281\pi\) |
0.990339 | + | 0.138665i | \(0.0442813\pi\) | |||||||
\(632\) | 2.68789e11 | + | 2.68789e11i | 1.68478 | + | 1.68478i | ||||
\(633\) | 4.64648e10 | + | 9.11923e10i | 0.289407 | + | 0.567993i | ||||
\(634\) | −2.80482e10 | − | 3.86050e10i | −0.173599 | − | 0.238939i | ||||
\(635\) | 3.31825e10 | + | 6.83150e10i | 0.204087 | + | 0.420166i | ||||
\(636\) | 2.96666e10 | + | 2.15541e10i | 0.181317 | + | 0.131735i | ||||
\(637\) | −1.56670e9 | − | 2.48141e8i | −0.00951541 | − | 0.00150709i | ||||
\(638\) | 1.19329e11 | − | 7.53411e11i | 0.720214 | − | 4.54725i | ||||
\(639\) | 4.32867e10 | − | 5.95790e10i | 0.259627 | − | 0.357347i | ||||
\(640\) | −1.99853e11 | − | 3.55735e10i | −1.19122 | − | 0.212035i | ||||
\(641\) | 8.60807e10 | − | 6.25413e10i | 0.509887 | − | 0.370454i | −0.302894 | − | 0.953024i | \(-0.597953\pi\) |
0.812781 | + | 0.582570i | \(0.197953\pi\) | |||||||
\(642\) | −9.10217e10 | + | 4.63779e10i | −0.535803 | + | 0.273005i | ||||
\(643\) | −2.01543e11 | + | 2.01543e11i | −1.17902 | + | 1.17902i | −0.199031 | + | 0.979993i | \(0.563779\pi\) |
−0.979993 | + | 0.199031i | \(0.936221\pi\) | |||||||
\(644\) | 1.94286e11 | + | 6.31272e10i | 1.12953 | + | 0.367006i | ||||
\(645\) | 1.44658e11 | − | 1.00942e11i | 0.835802 | − | 0.583219i | ||||
\(646\) | −6.07916e9 | − | 1.87097e10i | −0.0349071 | − | 0.107433i | ||||
\(647\) | −1.14125e11 | + | 2.23982e11i | −0.651272 | + | 1.27819i | 0.295208 | + | 0.955433i | \(0.404611\pi\) |
−0.946480 | + | 0.322761i | \(0.895389\pi\) | |||||||
\(648\) | 4.14554e10 | − | 6.56588e9i | 0.235115 | − | 0.0372386i | ||||
\(649\) | − | 2.25601e11i | − | 1.27164i | ||||||
\(650\) | 5.04253e9 | − | 3.37751e9i | 0.0282485 | − | 0.0189209i | ||||
\(651\) | −8.24266e10 | −0.458927 | ||||||||
\(652\) | −1.14020e11 | − | 7.19895e11i | −0.630945 | − | 3.98363i | ||||
\(653\) | 8.44608e10 | + | 4.30349e10i | 0.464518 | + | 0.236684i | 0.670554 | − | 0.741861i | \(-0.266056\pi\) |
−0.206036 | + | 0.978544i | \(0.566056\pi\) | |||||||
\(654\) | 1.96367e11 | − | 6.38036e10i | 1.07339 | − | 0.348766i | ||||
\(655\) | −3.42923e9 | + | 1.79766e11i | −0.0186308 | + | 0.976660i | ||||
\(656\) | 3.86701e10 | − | 1.19014e11i | 0.208814 | − | 0.642664i | ||||
\(657\) | −2.16198e10 | − | 2.16198e10i | −0.116035 | − | 0.116035i | ||||
\(658\) | 1.50455e11 | + | 2.95285e11i | 0.802608 | + | 1.57521i | ||||
\(659\) | −1.81157e11 | − | 2.49342e11i | −0.960538 | − | 1.32207i | −0.946684 | − | 0.322163i | \(-0.895590\pi\) |
−0.0138540 | − | 0.999904i | \(-0.504410\pi\) | |||||||
\(660\) | −3.25719e11 | − | 1.73866e11i | −1.71660 | − | 0.916301i | ||||
\(661\) | −1.85926e11 | − | 1.35083e11i | −0.973944 | − | 0.707611i | −0.0175966 | − | 0.999845i | \(-0.505601\pi\) |
−0.956347 | + | 0.292234i | \(0.905601\pi\) | |||||||
\(662\) | 5.66623e11 | + | 8.97443e10i | 2.95027 | + | 0.467277i | ||||
\(663\) | 1.56907e8 | − | 9.90669e8i | 0.000812058 | − | 0.00512713i | ||||
\(664\) | −3.00619e11 | + | 4.13767e11i | −1.54648 | + | 2.12855i | ||||
\(665\) | 1.27228e10 | + | 1.32176e10i | 0.0650573 | + | 0.0675877i | ||||
\(666\) | 8.94701e10 | − | 6.50039e10i | 0.454759 | − | 0.330402i | ||||
\(667\) | −2.27799e11 | + | 1.16069e11i | −1.15093 | + | 0.586427i | ||||
\(668\) | −4.06767e10 | + | 4.06767e10i | −0.204287 | + | 0.204287i | ||||
\(669\) | −5.91641e10 | − | 1.92236e10i | −0.295361 | − | 0.0959687i | ||||
\(670\) | 5.27945e11 | + | 3.99178e11i | 2.61993 | + | 1.98092i | ||||
\(671\) | −1.91392e9 | − | 5.89043e9i | −0.00944132 | − | 0.0290574i | ||||
\(672\) | −2.92200e10 | + | 5.73475e10i | −0.143286 | + | 0.281214i | ||||
\(673\) | 7.75690e10 | − | 1.22857e10i | 0.378118 | − | 0.0598881i | 0.0355173 | − | 0.999369i | \(-0.488692\pi\) |
0.342601 | + | 0.939481i | \(0.388692\pi\) | |||||||
\(674\) | − | 2.90543e11i | − | 1.40790i | ||||||
\(675\) | 2.71520e10 | + | 2.93068e10i | 0.130794 | + | 0.141174i | ||||
\(676\) | −4.58839e11 | −2.19722 | ||||||||
\(677\) | 3.37815e10 | + | 2.13288e11i | 0.160814 | + | 1.01534i | 0.927637 | + | 0.373483i | \(0.121836\pi\) |
−0.766823 | + | 0.641859i | \(0.778164\pi\) | |||||||
\(678\) | −2.55720e10 | − | 1.30296e10i | −0.121017 | − | 0.0616612i | ||||
\(679\) | 1.67607e11 | − | 5.44589e10i | 0.788522 | − | 0.256206i | ||||
\(680\) | 2.04713e11 | + | 7.08598e10i | 0.957438 | + | 0.331409i | ||||
\(681\) | −3.35833e10 | + | 1.03359e11i | −0.156147 | + | 0.480572i | ||||
\(682\) | 4.74745e11 | + | 4.74745e11i | 2.19443 | + | 2.19443i | ||||
\(683\) | 1.23808e11 | + | 2.42987e11i | 0.568940 | + | 1.11661i | 0.978869 | + | 0.204490i | \(0.0655535\pi\) |
−0.409929 | + | 0.912117i | \(0.634447\pi\) | |||||||
\(684\) | 1.25911e10 | + | 1.73301e10i | 0.0575227 | + | 0.0791731i | ||||
\(685\) | −8.33389e10 | + | 1.15748e10i | −0.378517 | + | 0.0525718i | ||||
\(686\) | 3.39057e11 | + | 2.46339e11i | 1.53100 | + | 1.11234i | ||||
\(687\) | −2.89455e10 | − | 4.58451e9i | −0.129943 | − | 0.0205810i | ||||
\(688\) | −1.01053e11 | + | 6.38024e11i | −0.451020 | + | 2.84763i | ||||
\(689\) | −4.44777e8 | + | 6.12182e8i | −0.00197363 | + | 0.00271646i | ||||
\(690\) | 2.47691e10 | + | 1.78338e11i | 0.109273 | + | 0.786768i | ||||
\(691\) | −2.04202e11 | + | 1.48362e11i | −0.895671 | + | 0.650743i | −0.937350 | − | 0.348388i | \(-0.886729\pi\) |
0.0416793 | + | 0.999131i | \(0.486729\pi\) | |||||||
\(692\) | 5.17362e11 | − | 2.63609e11i | 2.25616 | − | 1.14957i | ||||
\(693\) | 5.85435e10 | − | 5.85435e10i | 0.253832 | − | 0.253832i | ||||
\(694\) | −2.71562e11 | − | 8.82359e10i | −1.17066 | − | 0.380371i | ||||
\(695\) | −1.19800e11 | + | 3.46101e11i | −0.513472 | + | 1.48342i | ||||
\(696\) | −1.50596e11 | − | 4.63486e11i | −0.641765 | − | 1.97515i | ||||
\(697\) | 2.09643e10 | − | 4.11448e10i | 0.0888280 | − | 0.174335i | ||||
\(698\) | −4.89855e11 | + | 7.75855e10i | −2.06370 | + | 0.326858i | ||||
\(699\) | − | 6.18504e10i | − | 0.259080i | ||||||
\(700\) | −3.68035e11 | + | 4.39787e10i | −1.53284 | + | 0.183168i | ||||
\(701\) | 2.92361e11 | 1.21073 | 0.605365 | − | 0.795948i | \(-0.293027\pi\) | ||||
0.605365 | + | 0.795948i | \(0.293027\pi\) | |||||||
\(702\) | 2.48584e8 | + | 1.56950e9i | 0.00102359 | + | 0.00646269i | ||||
\(703\) | 2.74105e10 | + | 1.39664e10i | 0.112227 | + | 0.0571823i | ||||
\(704\) | −8.64512e10 | + | 2.80897e10i | −0.351950 | + | 0.114355i | ||||
\(705\) | −1.21078e11 | + | 1.60135e11i | −0.490125 | + | 0.648230i | ||||
\(706\) | −8.62580e10 | + | 2.65475e11i | −0.347201 | + | 1.06857i | ||||
\(707\) | −5.52197e10 | − | 5.52197e10i | −0.221012 | − | 0.221012i | ||||
\(708\) | −1.20054e11 | − | 2.35619e11i | −0.477796 | − | 0.937728i | ||||
\(709\) | 1.14553e9 | + | 1.57668e9i | 0.00453336 | + | 0.00623963i | 0.811278 | − | 0.584661i | \(-0.198772\pi\) |
−0.806744 | + | 0.590901i | \(0.798772\pi\) | |||||||
\(710\) | −4.33850e11 | + | 4.17608e11i | −1.70729 | + | 1.64337i | ||||
\(711\) | −7.66426e10 | − | 5.56841e10i | −0.299910 | − | 0.217898i | ||||
\(712\) | 1.06578e11 | + | 1.68804e10i | 0.414715 | + | 0.0656843i | ||||
\(713\) | 3.52019e10 | − | 2.22256e11i | 0.136210 | − | 0.859994i | ||||
\(714\) | −5.23861e10 | + | 7.21033e10i | −0.201569 | + | 0.277436i | ||||
\(715\) | 3.58779e9 | − | 6.72135e9i | 0.0137278 | − | 0.0257177i | ||||
\(716\) | 5.57100e11 | − | 4.04757e11i | 2.11973 | − | 1.54008i | ||||
\(717\) | −3.55836e10 | + | 1.81307e10i | −0.134640 | + | 0.0686023i | ||||
\(718\) | 4.82608e11 | − | 4.82608e11i | 1.81592 | − | 1.81592i | ||||
\(719\) | 2.58911e11 | + | 8.41252e10i | 0.968801 | + | 0.314783i | 0.750332 | − | 0.661061i | \(-0.229894\pi\) |
0.218469 | + | 0.975844i | \(0.429894\pi\) | |||||||
\(720\) | −1.46280e11 | − | 2.79045e9i | −0.544321 | − | 0.0103835i | ||||
\(721\) | −9.87273e10 | − | 3.03851e11i | −0.365339 | − | 1.12440i | ||||
\(722\) | 2.16679e11 | − | 4.25257e11i | 0.797387 | − | 1.56496i | ||||
\(723\) | 2.14601e11 | − | 3.39895e10i | 0.785377 | − | 0.124392i | ||||
\(724\) | − | 5.30400e11i | − | 1.93041i | ||||||
\(725\) | 2.86775e11 | − | 3.64613e11i | 1.03798 | − | 1.31971i | ||||
\(726\) | −3.87544e11 | −1.39500 | ||||||||
\(727\) | 4.99607e10 | + | 3.15439e11i | 0.178851 | + | 1.12922i | 0.899823 | + | 0.436255i | \(0.143695\pi\) |
−0.720972 | + | 0.692964i | \(0.756305\pi\) | |||||||
\(728\) | −7.15959e9 | − | 3.64800e9i | −0.0254896 | − | 0.0129876i | ||||
\(729\) | −9.94839e9 | + | 3.23243e9i | −0.0352243 | + | 0.0114451i | ||||
\(730\) | 1.43068e11 | + | 2.05029e11i | 0.503793 | + | 0.721978i | ||||
\(731\) | −7.36614e10 | + | 2.26707e11i | −0.257971 | + | 0.793953i | ||||
\(732\) | −5.13349e9 | − | 5.13349e9i | −0.0178800 | − | 0.0178800i | ||||
\(733\) | 8.86164e10 | + | 1.73919e11i | 0.306971 | + | 0.602465i | 0.992027 | − | 0.126025i | \(-0.0402221\pi\) |
−0.685056 | + | 0.728491i | \(0.740222\pi\) | |||||||
\(734\) | −2.21757e11 | − | 3.05223e11i | −0.764001 | − | 1.05156i | ||||
\(735\) | −1.49625e10 | + | 8.40598e10i | −0.0512690 | + | 0.288031i | ||||
\(736\) | −1.42153e11 | − | 1.03281e11i | −0.484447 | − | 0.351971i | ||||
\(737\) | 8.20652e11 | + | 1.29978e11i | 2.78156 | + | 0.440556i | ||||
\(738\) | −1.14446e10 | + | 7.22582e10i | −0.0385811 | + | 0.243591i | ||||
\(739\) | −3.31602e10 | + | 4.56411e10i | −0.111183 | + | 0.153031i | −0.860982 | − | 0.508635i | \(-0.830150\pi\) |
0.749799 | + | 0.661666i | \(0.230150\pi\) | |||||||
\(740\) | −5.59069e11 | + | 2.71555e11i | −1.86440 | + | 0.905590i | ||||
\(741\) | −3.57614e8 | + | 2.59822e8i | −0.00118616 | + | 0.000861794i | ||||
\(742\) | 5.99091e10 | − | 3.05252e10i | 0.197641 | − | 0.100703i | ||||
\(743\) | −1.77081e11 | + | 1.77081e11i | −0.581053 | + | 0.581053i | −0.935193 | − | 0.354140i | \(-0.884774\pi\) |
0.354140 | + | 0.935193i | \(0.384774\pi\) | |||||||
\(744\) | 4.07944e11 | + | 1.32549e11i | 1.33140 | + | 0.432598i | ||||
\(745\) | −1.21879e11 | − | 4.00972e11i | −0.395645 | − | 1.30164i | ||||
\(746\) | 1.72706e11 | + | 5.31535e11i | 0.557638 | + | 1.71623i | ||||
\(747\) | 5.78669e10 | − | 1.13570e11i | 0.185844 | − | 0.364739i | ||||
\(748\) | 4.92805e11 | − | 7.80527e10i | 1.57423 | − | 0.249334i | ||||
\(749\) | 1.28741e11i | 0.409061i | ||||||||
\(750\) | −1.76590e11 | − | 2.74840e11i | −0.558110 | − | 0.868630i | ||||
\(751\) | −2.87996e11 | −0.905370 | −0.452685 | − | 0.891670i | \(-0.649534\pi\) | ||||
−0.452685 | + | 0.891670i | \(0.649534\pi\) | |||||||
\(752\) | −1.15009e11 | − | 7.26138e11i | −0.359634 | − | 2.27064i | ||||
\(753\) | 1.38536e9 | + | 7.05875e8i | 0.00430906 | + | 0.00219557i | ||||
\(754\) | 1.75476e10 | − | 5.70156e9i | 0.0542916 | − | 0.0176404i | ||||
\(755\) | 3.30330e11 | − | 1.00407e11i | 1.01662 | − | 0.309012i | ||||
\(756\) | 2.99891e10 | − | 9.22968e10i | 0.0918070 | − | 0.282553i | ||||
\(757\) | 2.74645e11 | + | 2.74645e11i | 0.836351 | + | 0.836351i | 0.988377 | − | 0.152026i | \(-0.0485797\pi\) |
−0.152026 | + | 0.988377i | \(0.548580\pi\) | |||||||
\(758\) | 9.26677e10 | + | 1.81871e11i | 0.280706 | + | 0.550916i | ||||
\(759\) | 1.32855e11 | + | 1.82859e11i | 0.400324 | + | 0.550998i | ||||
\(760\) | −4.17123e10 | − | 8.58758e10i | −0.125029 | − | 0.257405i | ||||
\(761\) | −8.06138e10 | − | 5.85693e10i | −0.240365 | − | 0.174635i | 0.461081 | − | 0.887358i | \(-0.347462\pi\) |
−0.701446 | + | 0.712723i | \(0.747462\pi\) | |||||||
\(762\) | 1.60597e11 | + | 2.54361e10i | 0.476341 | + | 0.0754450i | ||||
\(763\) | 4.07049e10 | − | 2.57001e11i | 0.120102 | − | 0.758291i | ||||
\(764\) | 5.87341e10 | − | 8.08405e10i | 0.172392 | − | 0.237277i | ||||
\(765\) | −5.31535e10 | − | 9.46123e9i | −0.155198 | − | 0.0276250i | ||||
\(766\) | −6.64731e11 | + | 4.82955e11i | −1.93077 | + | 1.40279i | ||||
\(767\) | 4.86209e9 | − | 2.47736e9i | 0.0140489 | − | 0.00715825i | ||||
\(768\) | −2.73031e11 | + | 2.73031e11i | −0.784814 | + | 0.784814i | ||||
\(769\) | 5.09607e11 | + | 1.65581e11i | 1.45724 | + | 0.473485i | 0.927225 | − | 0.374506i | \(-0.122188\pi\) |
0.530011 | + | 0.847991i | \(0.322188\pi\) | |||||||
\(770\) | −5.55190e11 | + | 3.87409e11i | −1.57935 | + | 1.10206i | ||||
\(771\) | −7.82542e10 | − | 2.40842e11i | −0.221457 | − | 0.681575i | ||||
\(772\) | 1.34671e11 | − | 2.64306e11i | 0.379144 | − | 0.744112i | ||||
\(773\) | −5.69565e11 | + | 9.02103e10i | −1.59524 | + | 0.252661i | −0.889882 | − | 0.456191i | \(-0.849213\pi\) |
−0.705357 | + | 0.708852i | \(0.749213\pi\) | |||||||
\(774\) | − | 3.77651e11i | − | 1.05227i | ||||||
\(775\) | 1.11267e11 | + | 3.92834e11i | 0.308432 | + | 1.08894i | ||||
\(776\) | −9.17093e11 | −2.52910 | ||||||||
\(777\) | −2.18024e10 | − | 1.37655e11i | −0.0598164 | − | 0.377666i | ||||
\(778\) | 1.94076e10 | + | 9.88866e9i | 0.0529728 | + | 0.0269910i | ||||
\(779\) | −1.93548e10 | + | 6.28876e9i | −0.0525581 | + | 0.0170772i | ||||
\(780\) | 1.70331e8 | − | 8.92903e9i | 0.000460166 | − | 0.0241227i | ||||
\(781\) | −2.33602e11 | + | 7.18954e11i | −0.627875 | + | 1.93240i | ||||
\(782\) | −1.72048e11 | − | 1.72048e11i | −0.460068 | − | 0.460068i | ||||
\(783\) | 5.51395e10 | + | 1.08217e11i | 0.146695 | + | 0.287906i | ||||
\(784\) | −1.83786e11 | − | 2.52959e11i | −0.486460 | − | 0.669555i | ||||
\(785\) | 2.16957e11 | + | 1.15810e11i | 0.571342 | + | 0.304976i | ||||
\(786\) | 3.11422e11 | + | 2.26262e11i | 0.815943 | + | 0.592817i | ||||
\(787\) | −4.87178e11 | − | 7.71614e10i | −1.26996 | − | 0.201141i | −0.515156 | − | 0.857096i | \(-0.672266\pi\) |
−0.754800 | + | 0.655955i | \(0.772266\pi\) | |||||||
\(788\) | 2.22943e11 | − | 1.40761e12i | 0.578216 | − | 3.65071i | ||||
\(789\) | 2.31037e11 | − | 3.17995e11i | 0.596174 | − | 0.820564i | ||||
\(790\) | 5.37211e11 | + | 5.58106e11i | 1.37923 | + | 1.43287i | ||||
\(791\) | −2.92613e10 | + | 2.12596e10i | −0.0747459 | + | 0.0543061i | ||||
\(792\) | −3.83885e11 | + | 1.95599e11i | −0.975664 | + | 0.497126i | ||||
\(793\) | 1.05932e8 | − | 1.05932e8i | 0.000267875 | − | 0.000267875i | ||||
\(794\) | −5.60696e11 | − | 1.82181e11i | −1.41074 | − | 0.458376i | ||||
\(795\) | 3.24890e10 | + | 2.45649e10i | 0.0813333 | + | 0.0614959i | ||||
\(796\) | −4.87305e11 | − | 1.49977e12i | −1.21380 | − | 3.73571i | ||||
\(797\) | 2.10538e11 | − | 4.13203e11i | 0.521791 | − | 1.02407i | −0.468291 | − | 0.883575i | \(-0.655130\pi\) |
0.990081 | − | 0.140497i | \(-0.0448701\pi\) | |||||||
\(798\) | 3.87941e10 | − | 6.14439e9i | 0.0956653 | − | 0.0151519i | ||||
\(799\) | − | 2.71294e11i | − | 0.665661i | ||||||
\(800\) | 3.12754e11 | + | 6.18458e10i | 0.763560 | + | 0.150991i | ||||
\(801\) | −2.68927e10 | −0.0653289 | ||||||||
\(802\) | −1.23616e11 | − | 7.80482e11i | −0.298798 | − | 1.88654i | ||||
\(803\) | 2.79645e11 | + | 1.42486e11i | 0.672582 | + | 0.342698i | ||||
\(804\) | 9.26259e11 | − | 3.00960e11i | 2.21671 | − | 0.720251i | ||||
\(805\) | 2.14423e11 | + | 7.42205e10i | 0.510607 | + | 0.176742i | ||||
\(806\) | −5.01831e9 | + | 1.54448e10i | −0.0118910 | + | 0.0365966i | ||||
\(807\) | 2.37838e10 | + | 2.37838e10i | 0.0560774 | + | 0.0560774i | ||||
\(808\) | 1.84494e11 | + | 3.62090e11i | 0.432850 | + | 0.849515i | ||||
\(809\) | −1.70014e11 | − | 2.34004e11i | −0.396908 | − | 0.546297i | 0.563057 | − | 0.826418i | \(-0.309625\pi\) |
−0.959965 | + | 0.280121i | \(0.909625\pi\) | |||||||
\(810\) | 8.47206e10 | − | 1.17667e10i | 0.196811 | − | 0.0273348i | ||||
\(811\) | 1.71726e11 | + | 1.24766e11i | 0.396965 | + | 0.288412i | 0.768304 | − | 0.640085i | \(-0.221101\pi\) |
−0.371339 | + | 0.928498i | \(0.621101\pi\) | |||||||
\(812\) | −1.11294e12 | − | 1.76272e11i | −2.56004 | − | 0.405470i | ||||
\(813\) | −5.75943e10 | + | 3.63636e11i | −0.131831 | + | 0.832348i | ||||
\(814\) | −6.67266e11 | + | 9.18412e11i | −1.51985 | + | 2.09190i | ||||
\(815\) | −1.11372e11 | − | 8.01880e11i | −0.252433 | − | 1.81752i | ||||
\(816\) | 1.59953e11 | − | 1.16213e11i | 0.360772 | − | 0.262116i | ||||
\(817\) | 9.36025e10 | − | 4.76928e10i | 0.210087 | − | 0.107045i | ||||
\(818\) | −6.19833e11 | + | 6.19833e11i | −1.38440 | + | 1.38440i | ||||
\(819\) | 1.90458e9 | + | 6.18836e8i | 0.00423315 | + | 0.00137543i | ||||
\(820\) | 1.34490e11 | − | 3.88540e11i | 0.297464 | − | 0.859371i | ||||
\(821\) | −1.40441e11 | − | 4.32232e11i | −0.309115 | − | 0.951358i | −0.978109 | − | 0.208091i | \(-0.933275\pi\) |
0.668994 | − | 0.743267i | \(-0.266725\pi\) | |||||||
\(822\) | −8.17802e10 | + | 1.60503e11i | −0.179127 | + | 0.351556i | ||||
\(823\) | −2.48182e11 | + | 3.93081e10i | −0.540967 | + | 0.0856807i | −0.420938 | − | 0.907090i | \(-0.638299\pi\) |
−0.120029 | + | 0.992770i | \(0.538299\pi\) | |||||||
\(824\) | 1.66258e12i | 3.60639i | ||||||||
\(825\) | −3.58038e11 | − | 1.99983e11i | −0.772882 | − | 0.431696i | ||||
\(826\) | −4.84876e11 | −1.04162 | ||||||||
\(827\) | −9.88725e10 | − | 6.24256e11i | −0.211375 | − | 1.33457i | −0.833877 | − | 0.551950i | \(-0.813884\pi\) |
0.622502 | − | 0.782618i | \(-0.286116\pi\) | |||||||
\(828\) | 2.36063e11 | + | 1.20280e11i | 0.502234 | + | 0.255901i | ||||
\(829\) | −7.67106e10 | + | 2.49248e10i | −0.162419 | + | 0.0527732i | −0.389098 | − | 0.921196i | \(-0.627213\pi\) |
0.226679 | + | 0.973970i | \(0.427213\pi\) | |||||||
\(830\) | −6.28594e11 | + | 8.31366e11i | −1.32452 | + | 1.75178i | ||||
\(831\) | −1.55339e10 | + | 4.78084e10i | −0.0325744 | + | 0.100254i | ||||
\(832\) | −1.55471e9 | − | 1.55471e9i | −0.00324456 | − | 0.00324456i | ||||
\(833\) | −5.23818e10 | − | 1.02805e11i | −0.108793 | − | 0.213518i | ||||
\(834\) | 4.60891e11 | + | 6.34363e11i | 0.952652 | + | 1.31121i | ||||
\(835\) | −4.60344e10 | + | 4.43109e10i | −0.0946970 | + | 0.0911518i | ||||
\(836\) | −1.77894e11 | − | 1.29248e11i | −0.364197 | − | 0.264605i | ||||
\(837\) | −1.05584e11 | − | 1.67229e10i | −0.215128 | − | 0.0340730i | ||||
\(838\) | −1.15199e11 | + | 7.27335e11i | −0.233599 | + | 1.47489i | ||||
\(839\) | 8.96070e10 | − | 1.23333e11i | 0.180840 | − | 0.248905i | −0.708967 | − | 0.705241i | \(-0.750839\pi\) |
0.889807 | + | 0.456337i | \(0.150839\pi\) | |||||||
\(840\) | −2.03673e11 | + | 3.81561e11i | −0.409088 | + | 0.766385i | ||||
\(841\) | 7.36183e11 | − | 5.34868e11i | 1.47164 | − | 1.06921i | ||||
\(842\) | −2.59836e11 | + | 1.32393e11i | −0.516953 | + | 0.263401i | ||||
\(843\) | −2.20879e11 | + | 2.20879e11i | −0.437366 | + | 0.437366i | ||||
\(844\) | −1.17120e12 | − | 3.80545e11i | −2.30813 | − | 0.749957i | ||||
\(845\) | −5.09555e11 | − | 9.72029e9i | −0.999457 | − | 0.0190657i | ||||
\(846\) | 1.32817e11 | + | 4.08770e11i | 0.259283 | + | 0.797991i | ||||
\(847\) | −2.21727e11 | + | 4.35164e11i | −0.430810 | + | 0.845512i | ||||
\(848\) | −1.47323e11 | + | 2.33337e10i | −0.284896 | + | 0.0451231i | ||||
\(849\) | 3.64134e11i | 0.700859i | ||||||||
\(850\) | 4.14350e11 | + | 1.52334e11i | 0.793765 | + | 0.291823i | ||||
\(851\) | 3.80486e11 | 0.725471 | ||||||||
\(852\) | 1.38616e11 | + | 8.75189e11i | 0.263061 | + | 1.66090i | ||||
\(853\) | 1.39343e11 | + | 7.09986e10i | 0.263201 | + | 0.134108i | 0.580612 | − | 0.814181i | \(-0.302813\pi\) |
−0.317411 | + | 0.948288i | \(0.602813\pi\) | |||||||
\(854\) | −1.26600e10 | + | 4.11350e9i | −0.0238015 | + | 0.00773356i | ||||
\(855\) | 1.36156e10 | + | 1.95124e10i | 0.0254785 | + | 0.0365128i | ||||
\(856\) | 2.07026e11 | − | 6.37161e11i | 0.385594 | − | 1.18674i | ||||
\(857\) | −7.65246e10 | − | 7.65246e10i | −0.141866 | − | 0.141866i | 0.632607 | − | 0.774473i | \(-0.281985\pi\) |
−0.774473 | + | 0.632607i | \(0.781985\pi\) | |||||||
\(858\) | −7.40539e9 | − | 1.45339e10i | −0.0136647 | − | 0.0268184i | ||||
\(859\) | 3.83019e11 | + | 5.27180e11i | 0.703473 | + | 0.968247i | 0.999913 | + | 0.0131956i | \(0.00420040\pi\) |
−0.296440 | + | 0.955051i | \(0.595800\pi\) | |||||||
\(860\) | −3.71942e11 | + | 2.08958e12i | −0.679957 | + | 3.82002i | ||||
\(861\) | 7.45893e10 | + | 5.41923e10i | 0.135726 | + | 0.0986109i | ||||
\(862\) | 7.57833e11 | + | 1.20029e11i | 1.37260 | + | 0.217399i | ||||
\(863\) | −9.35150e10 | + | 5.90430e11i | −0.168592 | + | 1.06445i | 0.747728 | + | 0.664005i | \(0.231145\pi\) |
−0.916321 | + | 0.400446i | \(0.868855\pi\) | |||||||
\(864\) | −4.90642e10 | + | 6.75310e10i | −0.0880460 | + | 0.121185i | ||||
\(865\) | 5.80130e11 | − | 2.81786e11i | 1.03624 | − | 0.503332i | ||||
\(866\) | 1.16925e12 | − | 8.49512e11i | 2.07892 | − | 1.51042i | ||||
\(867\) | −2.25661e11 | + | 1.14980e11i | −0.399374 | + | 0.203491i | ||||
\(868\) | 7.01292e11 | − | 7.01292e11i | 1.23543 | − | 1.23543i | ||||
\(869\) | 9.24865e11 | + | 3.00507e11i | 1.62181 | + | 0.526957i | ||||
\(870\) | −2.88825e11 | − | 9.50208e11i | −0.504148 | − | 1.65860i | ||||
\(871\) | 6.21042e9 | + | 1.91137e10i | 0.0107907 | + | 0.0332103i | ||||
\(872\) | −6.14735e11 | + | 1.20648e12i | −1.06322 | + | 2.08668i | ||||
\(873\) | 2.25745e11 | − | 3.57546e10i | 0.388653 | − | 0.0615566i | ||||
\(874\) | 1.07229e11i | 0.183767i | ||||||||
\(875\) | −4.09645e11 | + | 4.10430e10i | −0.698836 | + | 0.0700176i | ||||
\(876\) | 3.67886e11 | 0.624737 | ||||||||
\(877\) | −6.65918e10 | − | 4.20444e11i | −0.112570 | − | 0.710739i | −0.977828 | − | 0.209411i | \(-0.932845\pi\) |
0.865258 | − | 0.501327i | \(-0.167155\pi\) | |||||||
\(878\) | 1.17065e12 | + | 5.96477e11i | 1.96992 | + | 1.00373i | ||||
\(879\) | 3.71429e11 | − | 1.20684e11i | 0.622185 | − | 0.202160i | ||||
\(880\) | 1.43693e12 | − | 4.36768e11i | 2.39609 | − | 0.728316i | ||||
\(881\) | 1.81341e10 | − | 5.58111e10i | 0.0301018 | − | 0.0926439i | −0.934877 | − | 0.354972i | \(-0.884490\pi\) |
0.964979 | + | 0.262328i | \(0.0844903\pi\) | |||||||
\(882\) | 1.29256e11 | + | 1.29256e11i | 0.213588 | + | 0.213588i | ||||
\(883\) | −3.08088e11 | − | 6.04657e11i | −0.506795 | − | 0.994641i | −0.992698 | − | 0.120628i | \(-0.961509\pi\) |
0.485903 | − | 0.874013i | \(-0.338491\pi\) | |||||||
\(884\) | 7.09372e9 | + | 9.76366e9i | 0.0116162 | + | 0.0159884i | ||||
\(885\) | −1.28332e11 | − | 2.64205e11i | −0.209200 | − | 0.430693i | ||||
\(886\) | −1.05484e12 | − | 7.66386e11i | −1.71179 | − | 1.24369i | ||||
\(887\) | −3.58655e11 | − | 5.68053e10i | −0.579405 | − | 0.0917687i | −0.140148 | − | 0.990131i | \(-0.544758\pi\) |
−0.439256 | + | 0.898362i | \(0.644758\pi\) | |||||||
\(888\) | −1.13457e11 | + | 7.16339e11i | −0.182465 | + | 1.15204i | ||||
\(889\) | 1.20445e11 | − | 1.65778e11i | 0.192833 | − | 0.265412i | ||||
\(890\) | 2.16498e11 | + | 3.85362e10i | 0.345059 | + | 0.0614199i | ||||
\(891\) | 8.68687e10 | − | 6.31138e10i | 0.137833 | − | 0.100141i | ||||
\(892\) | 6.66928e11 | − | 3.39817e11i | 1.05346 | − | 0.536767i | ||||
\(893\) | −8.45422e10 | + | 8.45422e10i | −0.132944 | + | 0.132944i | ||||
\(894\) | −8.53325e11 | − | 2.77262e11i | −1.33587 | − | 0.434051i | ||||
\(895\) | 6.27251e11 | − | 4.37693e11i | 0.977573 | − | 0.682146i | ||||
\(896\) | 1.69248e11 | + | 5.20891e11i | 0.262598 | + | 0.808193i | ||||
\(897\) | −2.48203e9 | + | 4.87125e9i | −0.00383386 | + | 0.00752438i | ||||
\(898\) | 1.20162e12 | − | 1.90318e11i | 1.84783 | − | 0.292667i | ||||
\(899\) | 1.24122e12i | 1.90025i | ||||||||
\(900\) | −4.80356e11 | − | 1.83333e10i | −0.732139 | − | 0.0279428i | ||||
\(901\) | −5.50416e10 | −0.0835203 | ||||||||
\(902\) | −1.17479e11 | − | 7.41731e11i | −0.177473 | − | 1.12052i | ||||
\(903\) | −4.24056e11 | − | 2.16067e11i | −0.637782 | − | 0.324966i | ||||
\(904\) | 1.79007e11 | − | 5.81628e10i | 0.268037 | − | 0.0870906i | ||||
\(905\) | 1.12363e10 | − | 5.89025e11i | 0.0167505 | − | 0.878091i | ||||
\(906\) | 2.28415e11 | − | 7.02988e11i | 0.339009 | − | 1.04336i | ||||
\(907\) | −2.81032e10 | − | 2.81032e10i | −0.0415266 | − | 0.0415266i | 0.686039 | − | 0.727565i | \(-0.259348\pi\) |
−0.727565 | + | 0.686039i | \(0.759348\pi\) | |||||||
\(908\) | −5.93655e11 | − | 1.16511e12i | −0.873354 | − | 1.71405i | ||||
\(909\) | −5.95306e10 | − | 8.19368e10i | −0.0871936 | − | 0.120012i | ||||
\(910\) | −1.44459e10 | − | 7.71108e9i | −0.0210659 | − | 0.0112447i | ||||
\(911\) | −1.62174e11 | − | 1.17826e11i | −0.235455 | − | 0.171068i | 0.463801 | − | 0.885939i | \(-0.346485\pi\) |
−0.699256 | + | 0.714872i | \(0.746485\pi\) | |||||||
\(912\) | −8.60606e10 | − | 1.36307e10i | −0.124401 | − | 0.0197032i | ||||
\(913\) | −2.04680e11 | + | 1.29230e12i | −0.294573 | + | 1.85986i | ||||
\(914\) | 2.88477e11 | − | 3.97055e11i | 0.413358 | − | 0.568939i | ||||
\(915\) | −5.59214e9 | − | 5.80964e9i | −0.00797799 | − | 0.00828829i | ||||
\(916\) | 2.85276e11 | − | 2.07265e11i | 0.405213 | − | 0.294404i | ||||
\(917\) | 4.32240e11 | − | 2.20237e11i | 0.611290 | − | 0.311468i | ||||
\(918\) | −8.17325e10 | + | 8.17325e10i | −0.115086 | + | 0.115086i | ||||
\(919\) | 1.95723e11 | + | 6.35943e10i | 0.274398 | + | 0.0891572i | 0.442983 | − | 0.896530i | \(-0.353920\pi\) |
−0.168586 | + | 0.985687i | \(0.553920\pi\) | |||||||
\(920\) | −9.41863e11 | − | 7.12140e11i | −1.31473 | − | 0.994064i | ||||
\(921\) | 1.67760e11 | + | 5.16313e11i | 0.233158 | + | 0.717588i | ||||
\(922\) | −5.73925e11 | + | 1.12639e12i | −0.794202 | + | 1.55871i | ||||
\(923\) | −1.80599e10 | + | 2.86040e9i | −0.0248833 | + | 0.00394113i | ||||
\(924\) | 9.96185e11i | 1.36663i | ||||||||
\(925\) | −6.26615e11 | + | 2.89727e11i | −0.855921 | + | 0.395751i | ||||
\(926\) | −3.95943e11 | −0.538504 | ||||||||
\(927\) | −6.48186e10 | − | 4.09249e11i | −0.0877770 | − | 0.554202i | ||||
\(928\) | 8.63568e11 | + | 4.40010e11i | 1.16441 | + | 0.593295i | ||||
\(929\) | −2.26571e11 | + | 7.36174e10i | −0.304188 | + | 0.0988365i | −0.457134 | − | 0.889398i | \(-0.651124\pi\) |
0.152946 | + | 0.988235i | \(0.451124\pi\) | |||||||
\(930\) | 8.26035e11 | + | 2.85925e11i | 1.10425 | + | 0.382226i | ||||
\(931\) | −1.57132e10 | + | 4.83603e10i | −0.0209154 | + | 0.0643709i | ||||
\(932\) | 5.26228e11 | + | 5.26228e11i | 0.697446 | + | 0.697446i | ||||
\(933\) | −3.39152e11 | − | 6.65624e11i | −0.447578 | − | 0.878420i | ||||
\(934\) | −1.09864e12 | − | 1.51215e12i | −1.44367 | − | 1.98705i | ||||
\(935\) | 5.48928e11 | − | 7.62400e10i | 0.718239 | − | 0.0997554i | ||||
\(936\) | −8.43097e9 | − | 6.12546e9i | −0.0109843 | − | 0.00798059i | ||||
\(937\) | −9.79973e11 | − | 1.55213e11i | −1.27132 | − | 0.201358i | −0.515931 | − | 0.856630i | \(-0.672554\pi\) |
−0.755392 | + | 0.655273i | \(0.772554\pi\) | |||||||
\(938\) | 2.79357e11 | − | 1.76379e12i | 0.360868 | − | 2.27843i | ||||
\(939\) | 2.46382e11 | − | 3.39115e11i | 0.316917 | − | 0.436199i | ||||
\(940\) | −3.32302e11 | − | 2.39258e12i | −0.425620 | − | 3.06446i | ||||
\(941\) | −3.80413e11 | + | 2.76386e11i | −0.485173 | + | 0.352499i | −0.803325 | − | 0.595541i | \(-0.796938\pi\) |
0.318152 | + | 0.948040i | \(0.396938\pi\) | |||||||
\(942\) | 4.69137e11 | − | 2.39037e11i | 0.595794 | − | 0.303572i | ||||
\(943\) | −1.77980e11 | + | 1.77980e11i | −0.225073 | + | 0.225073i | ||||
\(944\) | 1.02300e12 | + | 3.32393e11i | 1.28821 | + | 0.418565i | ||||
\(945\) | 3.52590e10 | − | 1.01863e11i | 0.0442123 | − | 0.127729i | ||||
\(946\) | 1.19793e12 | + | 3.68686e12i | 1.49578 | + | 4.60354i | ||||
\(947\) | 3.50835e11 | − | 6.88552e11i | 0.436217 | − | 0.856124i | −0.563336 | − | 0.826228i | \(-0.690482\pi\) |
0.999553 | − | 0.0298961i | \(-0.00951763\pi\) | |||||||
\(948\) | 1.12585e12 | − | 1.78316e11i | 1.39394 | − | 0.220779i | ||||
\(949\) | 7.59148e9i | 0.00935970i | ||||||||
\(950\) | −8.16512e10 | − | 1.76593e11i | −0.100246 | − | 0.216810i | ||||
\(951\) | −7.79920e10 | −0.0953516 | ||||||||
\(952\) | −9.14341e10 | − | 5.77292e11i | −0.111317 | − | 0.702826i | ||||
\(953\) | −7.43679e11 | − | 3.78923e11i | −0.901600 | − | 0.459388i | −0.0592033 | − | 0.998246i | \(-0.518856\pi\) |
−0.842397 | + | 0.538858i | \(0.818856\pi\) | |||||||
\(954\) | 8.29336e10 | − | 2.69468e10i | 0.100124 | − | 0.0325322i | ||||
\(955\) | 6.69385e10 | − | 8.85315e10i | 0.0804752 | − | 0.106435i | ||||
\(956\) | 1.48490e11 | − | 4.57006e11i | 0.177773 | − | 0.547129i | ||||
\(957\) | −8.81578e11 | − | 8.81578e11i | −1.05103 | − | 1.05103i | ||||
\(958\) | −7.38944e11 | − | 1.45026e12i | −0.877303 | − | 1.72180i | ||||
\(959\) | 1.33436e11 | + | 1.83658e11i | 0.157760 | + | 0.217138i | ||||
\(960\) | −8.52655e10 | + | 8.20734e10i | −0.100390 | + | 0.0966312i | ||||
\(961\) | −1.93830e11 | − | 1.40826e11i | −0.227263 | − | 0.165116i | ||||
\(962\) | −2.71206e10 | − | 4.29549e9i | −0.0316665 | − | 0.00501547i | ||||
\(963\) | −2.61192e10 | + | 1.64910e11i | −0.0303708 | + | 0.191753i | ||||
\(964\) | −1.53666e12 | + | 2.11503e12i | −1.77938 | + | 2.44911i | ||||
\(965\) | 1.55155e11 | − | 2.90667e11i | 0.178919 | − | 0.335186i | ||||
\(966\) | 3.93012e11 | − | 2.85540e11i | 0.451333 | − | 0.327913i | ||||
\(967\) | 2.93990e11 | − | 1.49795e11i | 0.336222 | − | 0.171314i | −0.277726 | − | 0.960660i | \(-0.589581\pi\) |
0.613948 | + | 0.789347i | \(0.289581\pi\) | |||||||
\(968\) | 1.79715e12 | − | 1.79715e12i | 2.04683 | − | 2.04683i | ||||
\(969\) | −3.05796e10 | − | 9.93592e9i | −0.0346846 | − | 0.0112697i | ||||
\(970\) | −1.86858e12 | − | 3.56451e10i | −2.11069 | − | 0.0402637i | ||||
\(971\) | 1.68430e11 | + | 5.18375e11i | 0.189471 | + | 0.583132i | 0.999997 | − | 0.00257122i | \(-0.000818447\pi\) |
−0.810526 | + | 0.585703i | \(0.800818\pi\) | |||||||
\(972\) | 5.71399e10 | − | 1.12143e11i | 0.0640139 | − | 0.125634i | ||||
\(973\) | 9.76004e11 | − | 1.54584e11i | 1.08893 | − | 0.172470i | ||||
\(974\) | 1.43146e12i | 1.59054i | ||||||||
\(975\) | 3.78314e8 | − | 9.91235e9i | 0.000418634 | − | 0.0109688i | ||||
\(976\) | 2.95303e10 | 0.0325438 | ||||||||
\(977\) | 1.02294e11 | + | 6.45859e11i | 0.112272 | + | 0.708859i | 0.978041 | + | 0.208414i | \(0.0668301\pi\) |
−0.865769 | + | 0.500445i | \(0.833170\pi\) | |||||||
\(978\) | −1.54434e12 | − | 7.86882e11i | −1.68806 | − | 0.860111i | ||||
\(979\) | 2.62543e11 | − | 8.53055e10i | 0.285805 | − | 0.0928637i | ||||
\(980\) | −5.87885e11 | − | 8.42490e11i | −0.637365 | − | 0.913399i | ||||
\(981\) | 1.04282e11 | − | 3.20947e11i | 0.112599 | − | 0.346543i | ||||
\(982\) | 7.65045e11 | + | 7.65045e11i | 0.822699 | + | 0.822699i | ||||
\(983\) | 4.20591e10 | + | 8.25457e10i | 0.0450450 | + | 0.0884057i | 0.912432 | − | 0.409229i | \(-0.134202\pi\) |
−0.867387 | + | 0.497634i | \(0.834202\pi\) | |||||||
\(984\) | −2.82010e11 | − | 3.88153e11i | −0.300804 | − | 0.414021i | ||||
\(985\) | 2.77405e11 | − | 1.55847e12i | 0.294692 | − | 1.65559i | ||||
\(986\) | 1.08577e12 | + | 7.88857e11i | 1.14876 | + | 0.834624i | ||||
\(987\) | 5.34989e11 | + | 8.47339e10i | 0.563736 | + | 0.0892870i | ||||
\(988\) | 8.32025e8 | − | 5.25320e9i | 0.000873190 | − | 0.00551310i | ||||
\(989\) | 7.63708e11 | − | 1.05115e12i | 0.798256 | − | 1.09871i | ||||
\(990\) | −7.89769e11 | + | 3.83613e11i | −0.822166 | + | 0.399349i | ||||
\(991\) | −6.88325e10 | + | 5.00097e10i | −0.0713672 | + | 0.0518513i | −0.622897 | − | 0.782304i | \(-0.714044\pi\) |
0.551530 | + | 0.834155i | \(0.314044\pi\) | |||||||
\(992\) | −7.60081e11 | + | 3.87281e11i | −0.784898 | + | 0.399926i | ||||
\(993\) | 6.63015e11 | − | 6.63015e11i | 0.681909 | − | 0.681909i | ||||
\(994\) | 1.54522e12 | + | 5.02072e11i | 1.58287 | + | 0.514304i | ||||
\(995\) | −5.09395e11 | − | 1.67586e12i | −0.519711 | − | 1.70980i | ||||
\(996\) | 4.73928e11 | + | 1.45860e12i | 0.481587 | + | 1.48217i | ||||
\(997\) | 4.07798e10 | − | 8.00350e10i | 0.0412729 | − | 0.0810026i | −0.869449 | − | 0.494023i | \(-0.835526\pi\) |
0.910722 | + | 0.413020i | \(0.135526\pi\) | |||||||
\(998\) | −2.34586e12 | + | 3.71547e11i | −2.36472 | + | 0.374535i | ||||
\(999\) | − | 1.80753e11i | − | 0.181477i |
(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 | 75.9.k.a.37.37 | ✓ | 320 | |
25.23 | odd | 20 | inner | 75.9.k.a.73.37 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.9.k.a.37.37 | ✓ | 320 | 1.1 | even | 1 | trivial | |
75.9.k.a.73.37 | yes | 320 | 25.23 | odd | 20 | inner |