Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [15,10,Mod(2,15)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(15, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("15.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 15 = 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 15.e (of order \(4\), 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: | \(7.72553754246\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 8.15 | ||
Character | \(\chi\) | \(=\) | 15.8 |
Dual form | 15.10.e.a.2.15 |
$q$-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 \(\left(\mathbb{Z}/15\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 24.1261 | + | 24.1261i | 1.06624 | + | 1.06624i | 0.997645 | + | 0.0685902i | \(0.0218501\pi\) |
0.0685902 | + | 0.997645i | \(0.478150\pi\) | |||||||
\(3\) | 138.640 | + | 21.4940i | 0.988195 | + | 0.153204i | ||||
\(4\) | 652.142i | 1.27371i | ||||||||
\(5\) | −844.923 | + | 1113.21i | −0.604578 | + | 0.796546i | ||||
\(6\) | 2826.28 | + | 3863.41i | 0.890296 | + | 1.21700i | ||||
\(7\) | 1781.62 | − | 1781.62i | 0.280462 | − | 0.280462i | −0.552832 | − | 0.833293i | \(-0.686453\pi\) |
0.833293 | + | 0.552832i | \(0.186453\pi\) | |||||||
\(8\) | −3381.08 | + | 3381.08i | −0.291844 | + | 0.291844i | ||||
\(9\) | 18759.0 | + | 5959.84i | 0.953057 | + | 0.302791i | ||||
\(10\) | −47242.1 | + | 6472.66i | −1.49393 | + | 0.204684i | ||||
\(11\) | 20586.3i | 0.423946i | 0.977275 | + | 0.211973i | \(0.0679890\pi\) | ||||
−0.977275 | + | 0.211973i | \(0.932011\pi\) | |||||||
\(12\) | −14017.1 | + | 90412.8i | −0.195138 | + | 1.25868i | ||||
\(13\) | −105880. | − | 105880.i | −1.02818 | − | 1.02818i | −0.999591 | − | 0.0285841i | \(-0.990900\pi\) |
−0.0285841 | − | 0.999591i | \(-0.509100\pi\) | |||||||
\(14\) | 85967.1 | 0.598076 | ||||||||
\(15\) | −141067. | + | 136174.i | −0.719475 | + | 0.694519i | ||||
\(16\) | 170752. | 0.651366 | ||||||||
\(17\) | 269375. | + | 269375.i | 0.782236 | + | 0.782236i | 0.980208 | − | 0.197972i | \(-0.0634355\pi\) |
−0.197972 | + | 0.980208i | \(0.563435\pi\) | |||||||
\(18\) | 308795. | + | 596371.i | 0.693336 | + | 1.33903i | ||||
\(19\) | − | 779592.i | − | 1.37238i | −0.727420 | − | 0.686192i | \(-0.759281\pi\) | ||
0.727420 | − | 0.686192i | \(-0.240719\pi\) | |||||||
\(20\) | −725969. | − | 551010.i | −1.01457 | − | 0.770059i | ||||
\(21\) | 285297. | − | 208709.i | 0.320118 | − | 0.234183i | ||||
\(22\) | −496668. | + | 496668.i | −0.452027 | + | 0.452027i | ||||
\(23\) | 758052. | − | 758052.i | 0.564838 | − | 0.564838i | −0.365840 | − | 0.930678i | \(-0.619218\pi\) |
0.930678 | + | 0.365840i | \(0.119218\pi\) | |||||||
\(24\) | −541426. | + | 396080.i | −0.333110 | + | 0.243687i | ||||
\(25\) | −525335. | − | 1.88115e6i | −0.268972 | − | 0.963148i | ||||
\(26\) | − | 5.10893e6i | − | 2.19255i | ||||||
\(27\) | 2.47265e6 | + | 1.22948e6i | 0.895417 | + | 0.445229i | ||||
\(28\) | 1.16187e6 | + | 1.16187e6i | 0.357228 | + | 0.357228i | ||||
\(29\) | −3.30998e6 | −0.869029 | −0.434515 | − | 0.900665i | \(-0.643080\pi\) | ||||
−0.434515 | + | 0.900665i | \(0.643080\pi\) | |||||||
\(30\) | −6.68877e6 | − | 118051.i | −1.50765 | − | 0.0266087i | ||||
\(31\) | 5.40032e6 | 1.05025 | 0.525124 | − | 0.851026i | \(-0.324019\pi\) | ||||
0.525124 | + | 0.851026i | \(0.324019\pi\) | |||||||
\(32\) | 5.85069e6 | + | 5.85069e6i | 0.986353 | + | 0.986353i | ||||
\(33\) | −442481. | + | 2.85408e6i | −0.0649504 | + | 0.418942i | ||||
\(34\) | 1.29980e7i | 1.66809i | ||||||||
\(35\) | 477980. | + | 3.48864e6i | 0.0538398 | + | 0.392961i | ||||
\(36\) | −3.88666e6 | + | 1.22335e7i | −0.385669 | + | 1.21392i | ||||
\(37\) | −9.21797e6 | + | 9.21797e6i | −0.808589 | + | 0.808589i | −0.984420 | − | 0.175832i | \(-0.943739\pi\) |
0.175832 | + | 0.984420i | \(0.443739\pi\) | |||||||
\(38\) | 1.88085e7 | − | 1.88085e7i | 1.46328 | − | 1.46328i | ||||
\(39\) | −1.24034e7 | − | 1.69549e7i | −0.858517 | − | 1.17356i | ||||
\(40\) | −907091. | − | 6.62060e6i | −0.0560249 | − | 0.408910i | ||||
\(41\) | − | 2.96554e6i | − | 0.163899i | −0.996636 | − | 0.0819494i | \(-0.973885\pi\) | ||
0.996636 | − | 0.0819494i | \(-0.0261146\pi\) | |||||||
\(42\) | 1.19185e7 | + | 1.84777e6i | 0.591015 | + | 0.0916277i | ||||
\(43\) | −2.26603e7 | − | 2.26603e7i | −1.01078 | − | 1.01078i | −0.999941 | − | 0.0108415i | \(-0.996549\pi\) |
−0.0108415 | − | 0.999941i | \(-0.503451\pi\) | |||||||
\(44\) | −1.34252e7 | −0.539987 | ||||||||
\(45\) | −2.24845e7 | + | 1.58471e7i | −0.817384 | + | 0.576093i | ||||
\(46\) | 3.65778e7 | 1.20450 | ||||||||
\(47\) | −2.16395e7 | − | 2.16395e7i | −0.646856 | − | 0.646856i | 0.305376 | − | 0.952232i | \(-0.401218\pi\) |
−0.952232 | + | 0.305376i | \(0.901218\pi\) | |||||||
\(48\) | 2.36730e7 | + | 3.67013e6i | 0.643676 | + | 0.0997920i | ||||
\(49\) | 3.40053e7i | 0.842683i | ||||||||
\(50\) | 3.27105e7 | − | 5.80592e7i | 0.740155 | − | 1.31373i | ||||
\(51\) | 3.15562e7 | + | 4.31361e7i | 0.653159 | + | 0.892843i | ||||
\(52\) | 6.90485e7 | − | 6.90485e7i | 1.30960 | − | 1.30960i | ||||
\(53\) | −5.81479e7 | + | 5.81479e7i | −1.01226 | + | 1.01226i | −0.0123382 | + | 0.999924i | \(0.503927\pi\) |
−0.999924 | + | 0.0123382i | \(0.996073\pi\) | |||||||
\(54\) | 2.99929e7 | + | 8.93180e7i | 0.480006 | + | 1.42944i | ||||
\(55\) | −2.29168e7 | − | 1.73938e7i | −0.337693 | − | 0.256309i | ||||
\(56\) | 1.20476e7i | 0.163702i | ||||||||
\(57\) | 1.67565e7 | − | 1.08082e8i | 0.210255 | − | 1.35618i | ||||
\(58\) | −7.98570e7 | − | 7.98570e7i | −0.926589 | − | 0.926589i | ||||
\(59\) | −5.01302e7 | −0.538599 | −0.269299 | − | 0.963056i | \(-0.586792\pi\) | ||||
−0.269299 | + | 0.963056i | \(0.586792\pi\) | |||||||
\(60\) | −8.88049e7 | − | 9.19958e7i | −0.884619 | − | 0.916405i | ||||
\(61\) | −1.29713e8 | −1.19950 | −0.599750 | − | 0.800187i | \(-0.704733\pi\) | ||||
−0.599750 | + | 0.800187i | \(0.704733\pi\) | |||||||
\(62\) | 1.30289e8 | + | 1.30289e8i | 1.11981 | + | 1.11981i | ||||
\(63\) | 4.40396e7 | − | 2.28032e7i | 0.352217 | − | 0.182375i | ||||
\(64\) | 1.94885e8i | 1.45200i | ||||||||
\(65\) | 2.07326e8 | − | 2.84058e7i | 1.44060 | − | 0.197377i | ||||
\(66\) | −7.95333e7 | + | 5.81826e7i | −0.515943 | + | 0.377438i | ||||
\(67\) | 4.93378e7 | − | 4.93378e7i | 0.299118 | − | 0.299118i | −0.541550 | − | 0.840668i | \(-0.682162\pi\) |
0.840668 | + | 0.541550i | \(0.182162\pi\) | |||||||
\(68\) | −1.75671e8 | + | 1.75671e8i | −0.996345 | + | 0.996345i | ||||
\(69\) | 1.21390e8 | − | 8.88027e7i | 0.644706 | − | 0.471634i | ||||
\(70\) | −7.26356e7 | + | 9.56992e7i | −0.361583 | + | 0.476395i | ||||
\(71\) | 1.66437e8i | 0.777300i | 0.921386 | + | 0.388650i | \(0.127058\pi\) | ||||
−0.921386 | + | 0.388650i | \(0.872942\pi\) | |||||||
\(72\) | −8.35765e7 | + | 4.32751e7i | −0.366512 | + | 0.189776i | ||||
\(73\) | 1.46771e8 | + | 1.46771e8i | 0.604907 | + | 0.604907i | 0.941611 | − | 0.336704i | \(-0.109312\pi\) |
−0.336704 | + | 0.941611i | \(0.609312\pi\) | |||||||
\(74\) | −4.44788e8 | −1.72429 | ||||||||
\(75\) | −3.23991e7 | − | 2.72094e8i | −0.118238 | − | 0.992985i | ||||
\(76\) | 5.08404e8 | 1.74803 | ||||||||
\(77\) | 3.66769e7 | + | 3.66769e7i | 0.118901 | + | 0.118901i | ||||
\(78\) | 1.09811e8 | − | 7.08302e8i | 0.335908 | − | 2.16667i | ||||
\(79\) | 2.00953e7i | 0.0580459i | 0.999579 | + | 0.0290230i | \(0.00923959\pi\) | ||||
−0.999579 | + | 0.0290230i | \(0.990760\pi\) | |||||||
\(80\) | −1.44272e8 | + | 1.90082e8i | −0.393801 | + | 0.518843i | ||||
\(81\) | 3.16381e8 | + | 2.23601e8i | 0.816635 | + | 0.577154i | ||||
\(82\) | 7.15470e7 | − | 7.15470e7i | 0.174755 | − | 0.174755i | ||||
\(83\) | 3.15781e8 | − | 3.15781e8i | 0.730357 | − | 0.730357i | −0.240334 | − | 0.970690i | \(-0.577257\pi\) |
0.970690 | + | 0.240334i | \(0.0772568\pi\) | |||||||
\(84\) | 1.36108e8 | + | 1.86054e8i | 0.298282 | + | 0.407740i | ||||
\(85\) | −5.27472e8 | + | 7.22691e7i | −1.09601 | + | 0.150165i | ||||
\(86\) | − | 1.09341e9i | − | 2.15546i | ||||||
\(87\) | −4.58895e8 | − | 7.11445e7i | −0.858770 | − | 0.133139i | ||||
\(88\) | −6.96039e7 | − | 6.96039e7i | −0.123726 | − | 0.123726i | ||||
\(89\) | −3.21965e8 | −0.543944 | −0.271972 | − | 0.962305i | \(-0.587676\pi\) | ||||
−0.271972 | + | 0.962305i | \(0.587676\pi\) | |||||||
\(90\) | −9.24792e8 | − | 1.60135e8i | −1.48577 | − | 0.257273i | ||||
\(91\) | −3.77274e8 | −0.576727 | ||||||||
\(92\) | 4.94358e8 | + | 4.94358e8i | 0.719442 | + | 0.719442i | ||||
\(93\) | 7.48700e8 | + | 1.16074e8i | 1.03785 | + | 0.160902i | ||||
\(94\) | − | 1.04416e9i | − | 1.37940i | ||||||
\(95\) | 8.67847e8 | + | 6.58695e8i | 1.09317 | + | 0.829713i | ||||
\(96\) | 6.85385e8 | + | 9.36894e8i | 0.823595 | + | 1.12582i | ||||
\(97\) | −1.74205e8 | + | 1.74205e8i | −0.199797 | + | 0.199797i | −0.799913 | − | 0.600116i | \(-0.795121\pi\) |
0.600116 | + | 0.799913i | \(0.295121\pi\) | |||||||
\(98\) | −8.20416e8 | + | 8.20416e8i | −0.898498 | + | 0.898498i | ||||
\(99\) | −1.22691e8 | + | 3.86179e8i | −0.128367 | + | 0.404045i | ||||
\(100\) | 1.22678e9 | − | 3.42593e8i | 1.22678 | − | 0.342593i | ||||
\(101\) | − | 1.27884e9i | − | 1.22284i | −0.791305 | − | 0.611422i | \(-0.790598\pi\) | ||
0.791305 | − | 0.611422i | \(-0.209402\pi\) | |||||||
\(102\) | −2.79378e8 | + | 1.80204e9i | −0.255559 | + | 1.64840i | ||||
\(103\) | 7.06637e8 | + | 7.06637e8i | 0.618627 | + | 0.618627i | 0.945179 | − | 0.326552i | \(-0.105887\pi\) |
−0.326552 | + | 0.945179i | \(0.605887\pi\) | |||||||
\(104\) | 7.15975e8 | 0.600134 | ||||||||
\(105\) | −8.71759e6 | + | 4.93938e8i | −0.00699914 | + | 0.396571i | ||||
\(106\) | −2.80577e9 | −2.15862 | ||||||||
\(107\) | 6.93528e7 | + | 6.93528e7i | 0.0511490 | + | 0.0511490i | 0.732219 | − | 0.681070i | \(-0.238485\pi\) |
−0.681070 | + | 0.732219i | \(0.738485\pi\) | |||||||
\(108\) | −8.01793e8 | + | 1.61252e9i | −0.567094 | + | 1.14051i | ||||
\(109\) | − | 5.80797e8i | − | 0.394099i | −0.980394 | − | 0.197049i | \(-0.936864\pi\) | ||
0.980394 | − | 0.197049i | \(-0.0631360\pi\) | |||||||
\(110\) | −1.33248e8 | − | 9.72540e8i | −0.0867749 | − | 0.633345i | ||||
\(111\) | −1.47611e9 | + | 1.07985e9i | −0.922922 | + | 0.675164i | ||||
\(112\) | 3.04214e8 | − | 3.04214e8i | 0.182683 | − | 0.182683i | ||||
\(113\) | −3.80914e7 | + | 3.80914e7i | −0.0219773 | + | 0.0219773i | −0.718010 | − | 0.696033i | \(-0.754947\pi\) |
0.696033 | + | 0.718010i | \(0.254947\pi\) | |||||||
\(114\) | 3.01188e9 | − | 2.20334e9i | 1.67019 | − | 1.22183i | ||||
\(115\) | 2.03374e8 | + | 1.48437e9i | 0.108431 | + | 0.791408i | ||||
\(116\) | − | 2.15858e9i | − | 1.10689i | ||||||
\(117\) | −1.35517e9 | − | 2.61722e9i | −0.668587 | − | 1.29123i | ||||
\(118\) | −1.20945e9 | − | 1.20945e9i | −0.574273 | − | 0.574273i | ||||
\(119\) | 9.59848e8 | 0.438774 | ||||||||
\(120\) | 1.65439e7 | − | 9.37376e8i | 0.00728320 | − | 0.412665i | ||||
\(121\) | 1.93415e9 | 0.820269 | ||||||||
\(122\) | −3.12948e9 | − | 3.12948e9i | −1.27895 | − | 1.27895i | ||||
\(123\) | 6.37411e7 | − | 4.11142e8i | 0.0251100 | − | 0.161964i | ||||
\(124\) | 3.52178e9i | 1.33772i | ||||||||
\(125\) | 2.53798e9 | + | 1.00462e9i | 0.929806 | + | 0.368049i | ||||
\(126\) | 1.61266e9 | + | 5.12350e8i | 0.570000 | + | 0.181092i | ||||
\(127\) | 1.91071e9 | − | 1.91071e9i | 0.651747 | − | 0.651747i | −0.301667 | − | 0.953413i | \(-0.597543\pi\) |
0.953413 | + | 0.301667i | \(0.0975430\pi\) | |||||||
\(128\) | −1.70626e9 | + | 1.70626e9i | −0.561823 | + | 0.561823i | ||||
\(129\) | −2.65456e9 | − | 3.62868e9i | −0.843994 | − | 1.15371i | ||||
\(130\) | 5.68730e9 | + | 4.31666e9i | 1.74647 | + | 1.32557i | ||||
\(131\) | 3.83981e9i | 1.13917i | 0.821932 | + | 0.569586i | \(0.192896\pi\) | ||||
−0.821932 | + | 0.569586i | \(0.807104\pi\) | |||||||
\(132\) | −1.86126e9 | − | 2.88560e8i | −0.533612 | − | 0.0827282i | ||||
\(133\) | −1.38893e9 | − | 1.38893e9i | −0.384901 | − | 0.384901i | ||||
\(134\) | 2.38066e9 | 0.637860 | ||||||||
\(135\) | −3.45786e9 | + | 1.71376e9i | −0.895994 | + | 0.444065i | ||||
\(136\) | −1.82156e9 | −0.456582 | ||||||||
\(137\) | 1.38912e8 | + | 1.38912e8i | 0.0336896 | + | 0.0336896i | 0.723751 | − | 0.690061i | \(-0.242416\pi\) |
−0.690061 | + | 0.723751i | \(0.742416\pi\) | |||||||
\(138\) | 5.07114e9 | + | 7.86201e8i | 1.19028 | + | 0.184535i | ||||
\(139\) | − | 2.38053e9i | − | 0.540887i | −0.962736 | − | 0.270443i | \(-0.912830\pi\) | ||
0.962736 | − | 0.270443i | \(-0.0871703\pi\) | |||||||
\(140\) | −2.27509e9 | + | 3.11711e8i | −0.500521 | + | 0.0685765i | ||||
\(141\) | −2.53498e9 | − | 3.46522e9i | −0.540119 | − | 0.738321i | ||||
\(142\) | −4.01549e9 | + | 4.01549e9i | −0.828784 | + | 0.828784i | ||||
\(143\) | 2.17967e9 | − | 2.17967e9i | 0.435891 | − | 0.435891i | ||||
\(144\) | 3.20313e9 | + | 1.01765e9i | 0.620789 | + | 0.197228i | ||||
\(145\) | 2.79668e9 | − | 3.68469e9i | 0.525396 | − | 0.692222i | ||||
\(146\) | 7.08206e9i | 1.28995i | ||||||||
\(147\) | −7.30908e8 | + | 4.71449e9i | −0.129103 | + | 0.832734i | ||||
\(148\) | −6.01142e9 | − | 6.01142e9i | −1.02991 | − | 1.02991i | ||||
\(149\) | −5.94683e9 | −0.988433 | −0.494216 | − | 0.869339i | \(-0.664545\pi\) | ||||
−0.494216 | + | 0.869339i | \(0.664545\pi\) | |||||||
\(150\) | 5.78291e9 | − | 7.34624e9i | 0.932686 | − | 1.18483i | ||||
\(151\) | −9.98511e9 | −1.56299 | −0.781496 | − | 0.623911i | \(-0.785543\pi\) | ||||
−0.781496 | + | 0.623911i | \(0.785543\pi\) | |||||||
\(152\) | 2.63586e9 | + | 2.63586e9i | 0.400522 | + | 0.400522i | ||||
\(153\) | 3.44778e9 | + | 6.65865e9i | 0.508661 | + | 0.982369i | ||||
\(154\) | 1.76974e9i | 0.253552i | ||||||||
\(155\) | −4.56286e9 | + | 6.01168e9i | −0.634957 | + | 0.836571i | ||||
\(156\) | 1.10570e10 | − | 8.08875e9i | 1.49478 | − | 1.09350i | ||||
\(157\) | 7.95501e9 | − | 7.95501e9i | 1.04494 | − | 1.04494i | 0.0460005 | − | 0.998941i | \(-0.485352\pi\) |
0.998941 | − | 0.0460005i | \(-0.0146476\pi\) | |||||||
\(158\) | −4.84821e8 | + | 4.84821e8i | −0.0618906 | + | 0.0618906i | ||||
\(159\) | −9.31145e9 | + | 6.81179e9i | −1.15539 | + | 0.845229i | ||||
\(160\) | −1.14564e10 | + | 1.56965e9i | −1.38200 | + | 0.189349i | ||||
\(161\) | − | 2.70112e9i | − | 0.316831i | ||||||
\(162\) | 2.23842e9 | + | 1.30277e10i | 0.255343 | + | 1.48611i | ||||
\(163\) | 6.00362e9 | + | 6.00362e9i | 0.666145 | + | 0.666145i | 0.956822 | − | 0.290676i | \(-0.0938802\pi\) |
−0.290676 | + | 0.956822i | \(0.593880\pi\) | |||||||
\(164\) | 1.93395e9 | 0.208760 | ||||||||
\(165\) | −2.80332e9 | − | 2.90405e9i | −0.294439 | − | 0.305019i | ||||
\(166\) | 1.52372e10 | 1.55746 | ||||||||
\(167\) | 8.56218e9 | + | 8.56218e9i | 0.851845 | + | 0.851845i | 0.990360 | − | 0.138515i | \(-0.0442331\pi\) |
−0.138515 | + | 0.990360i | \(0.544233\pi\) | |||||||
\(168\) | −2.58950e8 | + | 1.67028e9i | −0.0250798 | + | 0.161769i | ||||
\(169\) | 1.18165e10i | 1.11429i | ||||||||
\(170\) | −1.44694e10 | − | 1.09823e10i | −1.32871 | − | 1.00849i | ||||
\(171\) | 4.64624e9 | − | 1.46244e10i | 0.415546 | − | 1.30796i | ||||
\(172\) | 1.47777e10 | − | 1.47777e10i | 1.28745 | − | 1.28745i | ||||
\(173\) | 8.86188e9 | − | 8.86188e9i | 0.752174 | − | 0.752174i | −0.222711 | − | 0.974885i | \(-0.571491\pi\) |
0.974885 | + | 0.222711i | \(0.0714905\pi\) | |||||||
\(174\) | −9.35492e9 | − | 1.27878e10i | −0.773693 | − | 1.05761i | ||||
\(175\) | −4.28743e9 | − | 2.41554e9i | −0.345562 | − | 0.194690i | ||||
\(176\) | 3.51514e9i | 0.276144i | ||||||||
\(177\) | −6.95005e9 | − | 1.07750e9i | −0.532241 | − | 0.0825156i | ||||
\(178\) | −7.76778e9 | − | 7.76778e9i | −0.579972 | − | 0.579972i | ||||
\(179\) | 7.06305e9 | 0.514225 | 0.257113 | − | 0.966381i | \(-0.417229\pi\) | ||||
0.257113 | + | 0.966381i | \(0.417229\pi\) | |||||||
\(180\) | −1.03345e10 | − | 1.46631e10i | −0.733778 | − | 1.04111i | ||||
\(181\) | −4.17683e9 | −0.289263 | −0.144631 | − | 0.989486i | \(-0.546200\pi\) | ||||
−0.144631 | + | 0.989486i | \(0.546200\pi\) | |||||||
\(182\) | −9.10217e9 | − | 9.10217e9i | −0.614927 | − | 0.614927i | ||||
\(183\) | −1.79834e10 | − | 2.78805e9i | −1.18534 | − | 0.183769i | ||||
\(184\) | 5.12607e9i | 0.329689i | ||||||||
\(185\) | −2.47304e9 | − | 1.80500e10i | −0.155224 | − | 1.13293i | ||||
\(186\) | 1.52628e10 | + | 2.08637e10i | 0.935032 | + | 1.27815i | ||||
\(187\) | −5.54544e9 | + | 5.54544e9i | −0.331626 | + | 0.331626i | ||||
\(188\) | 1.41121e10 | − | 1.41121e10i | 0.823910 | − | 0.823910i | ||||
\(189\) | 6.59577e9 | − | 2.21485e9i | 0.376000 | − | 0.126260i | ||||
\(190\) | 5.04603e9 | + | 3.68296e10i | 0.280905 | + | 2.05024i | ||||
\(191\) | 1.78558e10i | 0.970800i | 0.874292 | + | 0.485400i | \(0.161326\pi\) | ||||
−0.874292 | + | 0.485400i | \(0.838674\pi\) | |||||||
\(192\) | −4.18884e9 | + | 2.70188e10i | −0.222453 | + | 1.43486i | ||||
\(193\) | 8.36070e9 | + | 8.36070e9i | 0.433745 | + | 0.433745i | 0.889900 | − | 0.456155i | \(-0.150774\pi\) |
−0.456155 | + | 0.889900i | \(0.650774\pi\) | |||||||
\(194\) | −8.40580e9 | −0.426060 | ||||||||
\(195\) | 2.93542e10 | + | 5.18077e8i | 1.45383 | + | 0.0256589i | ||||
\(196\) | −2.21763e10 | −1.07334 | ||||||||
\(197\) | 9.10090e8 | + | 9.10090e8i | 0.0430513 | + | 0.0430513i | 0.728305 | − | 0.685253i | \(-0.240309\pi\) |
−0.685253 | + | 0.728305i | \(0.740309\pi\) | |||||||
\(198\) | −1.22771e10 | + | 6.35694e9i | −0.567677 | + | 0.293937i | ||||
\(199\) | 9.59714e9i | 0.433813i | 0.976192 | + | 0.216907i | \(0.0695967\pi\) | ||||
−0.976192 | + | 0.216907i | \(0.930403\pi\) | |||||||
\(200\) | 8.13652e9 | + | 4.58412e9i | 0.359587 | + | 0.202591i | ||||
\(201\) | 7.90064e9 | − | 5.77972e9i | 0.341413 | − | 0.249761i | ||||
\(202\) | 3.08535e10 | − | 3.08535e10i | 1.30384 | − | 1.30384i | ||||
\(203\) | −5.89712e9 | + | 5.89712e9i | −0.243729 | + | 0.243729i | ||||
\(204\) | −2.81309e10 | + | 2.05791e10i | −1.13723 | + | 0.831938i | ||||
\(205\) | 3.30126e9 | + | 2.50565e9i | 0.130553 | + | 0.0990896i | ||||
\(206\) | 3.40968e10i | 1.31920i | ||||||||
\(207\) | 1.87382e10 | − | 9.70245e9i | 0.709351 | − | 0.367295i | ||||
\(208\) | −1.80791e10 | − | 1.80791e10i | −0.669718 | − | 0.669718i | ||||
\(209\) | 1.60489e10 | 0.581818 | ||||||||
\(210\) | −1.21271e10 | + | 1.17065e10i | −0.430300 | + | 0.415375i | ||||
\(211\) | −2.41642e10 | −0.839270 | −0.419635 | − | 0.907693i | \(-0.637842\pi\) | ||||
−0.419635 | + | 0.907693i | \(0.637842\pi\) | |||||||
\(212\) | −3.79207e10 | − | 3.79207e10i | −1.28933 | − | 1.28933i | ||||
\(213\) | −3.57740e9 | + | 2.30749e10i | −0.119086 | + | 0.768123i | ||||
\(214\) | 3.34643e9i | 0.109074i | ||||||||
\(215\) | 4.43718e10 | − | 6.07940e9i | 1.41623 | − | 0.194039i | ||||
\(216\) | −1.25172e10 | + | 4.20326e9i | −0.391259 | + | 0.131385i | ||||
\(217\) | 9.62131e9 | − | 9.62131e9i | 0.294554 | − | 0.294554i | ||||
\(218\) | 1.40124e10 | − | 1.40124e10i | 0.420202 | − | 0.420202i | ||||
\(219\) | 1.71937e10 | + | 2.35031e10i | 0.505092 | + | 0.690440i | ||||
\(220\) | 1.13432e10 | − | 1.49450e10i | 0.326464 | − | 0.430124i | ||||
\(221\) | − | 5.70427e10i | − | 1.60855i | ||||||
\(222\) | −6.16654e10 | − | 9.56026e9i | −1.70394 | − | 0.264169i | ||||
\(223\) | −3.49240e10 | − | 3.49240e10i | −0.945696 | − | 0.945696i | 0.0529037 | − | 0.998600i | \(-0.483152\pi\) |
−0.998600 | + | 0.0529037i | \(0.983152\pi\) | |||||||
\(224\) | 2.08474e10 | 0.553268 | ||||||||
\(225\) | 1.35656e9 | − | 3.84194e10i | 0.0352873 | − | 0.999377i | ||||
\(226\) | −1.83800e9 | −0.0468659 | ||||||||
\(227\) | 8.70359e9 | + | 8.70359e9i | 0.217562 | + | 0.217562i | 0.807470 | − | 0.589909i | \(-0.200836\pi\) |
−0.589909 | + | 0.807470i | \(0.700836\pi\) | |||||||
\(228\) | 7.04851e10 | + | 1.09276e10i | 1.72739 | + | 0.267805i | ||||
\(229\) | 7.29146e9i | 0.175208i | 0.996155 | + | 0.0876042i | \(0.0279211\pi\) | ||||
−0.996155 | + | 0.0876042i | \(0.972079\pi\) | |||||||
\(230\) | −3.09054e10 | + | 4.07186e10i | −0.728214 | + | 0.959440i | ||||
\(231\) | 4.29655e9 | + | 5.87321e9i | 0.0992809 | + | 0.135713i | ||||
\(232\) | 1.11913e10 | − | 1.11913e10i | 0.253621 | − | 0.253621i | ||||
\(233\) | −5.53560e10 | + | 5.53560e10i | −1.23045 | + | 1.23045i | −0.266657 | + | 0.963792i | \(0.585919\pi\) |
−0.963792 | + | 0.266657i | \(0.914081\pi\) | |||||||
\(234\) | 3.04484e10 | − | 9.58386e10i | 0.663886 | − | 2.08963i | ||||
\(235\) | 4.23730e10 | − | 5.80555e9i | 0.906326 | − | 0.124176i | ||||
\(236\) | − | 3.26920e10i | − | 0.686021i | ||||||
\(237\) | −4.31926e8 | + | 2.78600e9i | −0.00889288 | + | 0.0573606i | ||||
\(238\) | 2.31574e10 | + | 2.31574e10i | 0.467836 | + | 0.467836i | ||||
\(239\) | −6.84280e10 | −1.35657 | −0.678287 | − | 0.734797i | \(-0.737277\pi\) | ||||
−0.678287 | + | 0.734797i | \(0.737277\pi\) | |||||||
\(240\) | −2.40875e10 | + | 2.32520e10i | −0.468641 | + | 0.452386i | ||||
\(241\) | 9.78150e9 | 0.186779 | 0.0933896 | − | 0.995630i | \(-0.470230\pi\) | ||||
0.0933896 | + | 0.995630i | \(0.470230\pi\) | |||||||
\(242\) | 4.66636e10 | + | 4.66636e10i | 0.874600 | + | 0.874600i | ||||
\(243\) | 3.90570e10 | + | 3.78004e10i | 0.718572 | + | 0.695453i | ||||
\(244\) | − | 8.45915e10i | − | 1.52782i | ||||||
\(245\) | −3.78549e10 | − | 2.87318e10i | −0.671236 | − | 0.509467i | ||||
\(246\) | 1.14571e10 | − | 8.38143e9i | 0.199465 | − | 0.145918i | ||||
\(247\) | −8.25429e10 | + | 8.25429e10i | −1.41105 | + | 1.41105i | ||||
\(248\) | −1.82589e10 | + | 1.82589e10i | −0.306509 | + | 0.306509i | ||||
\(249\) | 5.05673e10 | − | 3.69925e10i | 0.833628 | − | 0.609841i | ||||
\(250\) | 3.69940e10 | + | 8.54692e10i | 0.598965 | + | 1.38382i | ||||
\(251\) | 9.31257e9i | 0.148094i | 0.997255 | + | 0.0740471i | \(0.0235915\pi\) | ||||
−0.997255 | + | 0.0740471i | \(0.976408\pi\) | |||||||
\(252\) | 1.48710e10 | + | 2.87200e10i | 0.232293 | + | 0.448624i | ||||
\(253\) | 1.56055e10 | + | 1.56055e10i | 0.239461 | + | 0.239461i | ||||
\(254\) | 9.21963e10 | 1.38983 | ||||||||
\(255\) | −7.46820e10 | − | 1.31807e9i | −1.10608 | − | 0.0195213i | ||||
\(256\) | 1.74501e10 | 0.253932 | ||||||||
\(257\) | 1.83144e10 | + | 1.83144e10i | 0.261875 | + | 0.261875i | 0.825815 | − | 0.563941i | \(-0.190715\pi\) |
−0.563941 | + | 0.825815i | \(0.690715\pi\) | |||||||
\(258\) | 2.35017e10 | − | 1.51590e11i | 0.330226 | − | 2.13002i | ||||
\(259\) | 3.28458e10i | 0.453556i | ||||||||
\(260\) | 1.85246e10 | + | 1.35206e11i | 0.251402 | + | 1.83491i | ||||
\(261\) | −6.20920e10 | − | 1.97269e10i | −0.828234 | − | 0.263134i | ||||
\(262\) | −9.26399e10 | + | 9.26399e10i | −1.21462 | + | 1.21462i | ||||
\(263\) | −4.21769e10 | + | 4.21769e10i | −0.543593 | + | 0.543593i | −0.924580 | − | 0.380987i | \(-0.875584\pi\) |
0.380987 | + | 0.924580i | \(0.375584\pi\) | |||||||
\(264\) | −8.15381e9 | − | 1.11459e10i | −0.103310 | − | 0.141221i | ||||
\(265\) | −1.56002e10 | − | 1.13861e11i | −0.194322 | − | 1.41830i | ||||
\(266\) | − | 6.70193e10i | − | 0.820790i | ||||||
\(267\) | −4.46372e10 | − | 6.92031e9i | −0.537522 | − | 0.0833345i | ||||
\(268\) | 3.21752e10 | + | 3.21752e10i | 0.380991 | + | 0.380991i | ||||
\(269\) | −6.44494e10 | −0.750471 | −0.375235 | − | 0.926930i | \(-0.622438\pi\) | ||||
−0.375235 | + | 0.926930i | \(0.622438\pi\) | |||||||
\(270\) | −1.24771e11 | − | 4.20785e10i | −1.42882 | − | 0.481862i | ||||
\(271\) | −5.75717e10 | −0.648406 | −0.324203 | − | 0.945987i | \(-0.605096\pi\) | ||||
−0.324203 | + | 0.945987i | \(0.605096\pi\) | |||||||
\(272\) | 4.59963e10 | + | 4.59963e10i | 0.509522 | + | 0.509522i | ||||
\(273\) | −5.23052e10 | − | 8.10911e9i | −0.569919 | − | 0.0883571i | ||||
\(274\) | 6.70280e9i | 0.0718420i | ||||||||
\(275\) | 3.87259e10 | − | 1.08147e10i | 0.408323 | − | 0.114030i | ||||
\(276\) | 5.79120e10 | + | 7.91634e10i | 0.600728 | + | 0.821171i | ||||
\(277\) | 1.27380e11 | − | 1.27380e11i | 1.29999 | − | 1.29999i | 0.371603 | − | 0.928392i | \(-0.378808\pi\) |
0.928392 | − | 0.371603i | \(-0.121192\pi\) | |||||||
\(278\) | 5.74329e10 | − | 5.74329e10i | 0.576713 | − | 0.576713i | ||||
\(279\) | 1.01305e11 | + | 3.21850e10i | 1.00095 | + | 0.318006i | ||||
\(280\) | −1.34115e10 | − | 1.01793e10i | −0.130396 | − | 0.0989706i | ||||
\(281\) | − | 8.25520e10i | − | 0.789858i | −0.918712 | − | 0.394929i | \(-0.870769\pi\) | ||
0.918712 | − | 0.394929i | \(-0.129231\pi\) | |||||||
\(282\) | 2.24431e10 | − | 1.44762e11i | 0.211330 | − | 1.36312i | ||||
\(283\) | 5.12918e10 | + | 5.12918e10i | 0.475345 | + | 0.475345i | 0.903639 | − | 0.428294i | \(-0.140885\pi\) |
−0.428294 | + | 0.903639i | \(0.640885\pi\) | |||||||
\(284\) | −1.08541e11 | −0.990058 | ||||||||
\(285\) | 1.06160e11 | + | 1.09975e11i | 0.953147 | + | 0.987396i | ||||
\(286\) | 1.05174e11 | 0.929525 | ||||||||
\(287\) | −5.28345e9 | − | 5.28345e9i | −0.0459673 | − | 0.0459673i | ||||
\(288\) | 7.48841e10 | + | 1.44622e11i | 0.641392 | + | 1.23871i | ||||
\(289\) | 2.65383e10i | 0.223786i | ||||||||
\(290\) | 1.56370e11 | − | 2.14244e10i | 1.29827 | − | 0.177876i | ||||
\(291\) | −2.78961e10 | + | 2.04074e10i | −0.228048 | + | 0.166828i | ||||
\(292\) | −9.57158e10 | + | 9.57158e10i | −0.770479 | + | 0.770479i | ||||
\(293\) | −3.14216e10 | + | 3.14216e10i | −0.249071 | + | 0.249071i | −0.820589 | − | 0.571518i | \(-0.806355\pi\) |
0.571518 | + | 0.820589i | \(0.306355\pi\) | |||||||
\(294\) | −1.31376e11 | + | 9.61084e10i | −1.02554 | + | 0.750237i | ||||
\(295\) | 4.23562e10 | − | 5.58053e10i | 0.325625 | − | 0.429019i | ||||
\(296\) | − | 6.23334e10i | − | 0.471963i | ||||||
\(297\) | −2.53104e10 | + | 5.09026e10i | −0.188753 | + | 0.379609i | ||||
\(298\) | −1.43474e11 | − | 1.43474e11i | −1.05390 | − | 1.05390i | ||||
\(299\) | −1.60525e11 | −1.16151 | ||||||||
\(300\) | 1.77444e11 | − | 2.11288e10i | 1.26478 | − | 0.150602i | ||||
\(301\) | −8.07440e10 | −0.566971 | ||||||||
\(302\) | −2.40902e11 | − | 2.40902e11i | −1.66652 | − | 1.66652i | ||||
\(303\) | 2.74874e10 | − | 1.77299e11i | 0.187345 | − | 1.20841i | ||||
\(304\) | − | 1.33117e11i | − | 0.893925i | ||||||
\(305\) | 1.09598e11 | − | 1.44398e11i | 0.725191 | − | 0.955458i | ||||
\(306\) | −7.74658e10 | + | 2.43829e11i | −0.505084 | + | 1.58979i | ||||
\(307\) | 1.83078e11 | − | 1.83078e11i | 1.17629 | − | 1.17629i | 0.195606 | − | 0.980683i | \(-0.437333\pi\) |
0.980683 | − | 0.195606i | \(-0.0626673\pi\) | |||||||
\(308\) | −2.39185e10 | + | 2.39185e10i | −0.151445 | + | 0.151445i | ||||
\(309\) | 8.27796e10 | + | 1.13156e11i | 0.516547 | + | 0.706100i | ||||
\(310\) | −2.55123e11 | + | 3.49545e10i | −1.56899 | + | 0.214969i | ||||
\(311\) | 5.62638e10i | 0.341042i | 0.985354 | + | 0.170521i | \(0.0545450\pi\) | ||||
−0.985354 | + | 0.170521i | \(0.945455\pi\) | |||||||
\(312\) | 9.92627e10 | + | 1.53891e10i | 0.593049 | + | 0.0919430i | ||||
\(313\) | 9.01071e10 | + | 9.01071e10i | 0.530652 | + | 0.530652i | 0.920766 | − | 0.390115i | \(-0.127565\pi\) |
−0.390115 | + | 0.920766i | \(0.627565\pi\) | |||||||
\(314\) | 3.83847e11 | 2.22831 | ||||||||
\(315\) | −1.18253e10 | + | 6.82921e10i | −0.0676728 | + | 0.390817i | ||||
\(316\) | −1.31050e10 | −0.0739339 | ||||||||
\(317\) | 1.14674e11 | + | 1.14674e11i | 0.637818 | + | 0.637818i | 0.950017 | − | 0.312199i | \(-0.101065\pi\) |
−0.312199 | + | 0.950017i | \(0.601065\pi\) | |||||||
\(318\) | −3.88992e11 | − | 6.03071e10i | −2.13314 | − | 0.330709i | ||||
\(319\) | − | 6.81402e10i | − | 0.368422i | ||||||
\(320\) | −2.16947e11 | − | 1.64662e11i | −1.15659 | − | 0.877848i | ||||
\(321\) | 8.12439e9 | + | 1.11057e10i | 0.0427089 | + | 0.0583814i | ||||
\(322\) | 6.51676e10 | − | 6.51676e10i | 0.337816 | − | 0.337816i | ||||
\(323\) | 2.10003e11 | − | 2.10003e11i | 1.07353 | − | 1.07353i | ||||
\(324\) | −1.45820e11 | + | 2.06325e11i | −0.735130 | + | 1.04016i | ||||
\(325\) | −1.43553e11 | + | 2.54798e11i | −0.713735 | + | 1.26684i | ||||
\(326\) | 2.89688e11i | 1.42054i | ||||||||
\(327\) | 1.24836e10 | − | 8.05216e10i | 0.0603776 | − | 0.389446i | ||||
\(328\) | 1.00267e10 | + | 1.00267e10i | 0.0478329 | + | 0.0478329i | ||||
\(329\) | −7.71068e10 | −0.362837 | ||||||||
\(330\) | 2.43023e9 | − | 1.37697e11i | 0.0112807 | − | 0.639163i | ||||
\(331\) | 2.54142e11 | 1.16372 | 0.581862 | − | 0.813288i | \(-0.302325\pi\) | ||||
0.581862 | + | 0.813288i | \(0.302325\pi\) | |||||||
\(332\) | 2.05934e11 | + | 2.05934e11i | 0.930266 | + | 0.930266i | ||||
\(333\) | −2.27858e11 | + | 1.17982e11i | −1.01546 | + | 0.525798i | ||||
\(334\) | 4.13145e11i | 1.81653i | ||||||||
\(335\) | 1.32365e10 | + | 9.66097e10i | 0.0574213 | + | 0.419102i | ||||
\(336\) | 4.87150e10 | − | 3.56374e10i | 0.208514 | − | 0.152539i | ||||
\(337\) | −2.91886e11 | + | 2.91886e11i | −1.23276 | + | 1.23276i | −0.269862 | + | 0.962899i | \(0.586978\pi\) |
−0.962899 | + | 0.269862i | \(0.913022\pi\) | |||||||
\(338\) | −2.85086e11 | + | 2.85086e11i | −1.18809 | + | 1.18809i | ||||
\(339\) | −6.09973e9 | + | 4.46225e9i | −0.0250849 | + | 0.0183508i | ||||
\(340\) | −4.71297e10 | − | 3.43987e11i | −0.191267 | − | 1.39600i | ||||
\(341\) | 1.11173e11i | 0.445249i | ||||||||
\(342\) | 4.64926e11 | − | 2.40734e11i | 1.83766 | − | 0.951524i | ||||
\(343\) | 1.32479e11 | + | 1.32479e11i | 0.516802 | + | 0.516802i | ||||
\(344\) | 1.53233e11 | 0.589982 | ||||||||
\(345\) | −3.70921e9 | + | 2.10164e11i | −0.0140960 | + | 0.798677i | ||||
\(346\) | 4.27606e11 | 1.60399 | ||||||||
\(347\) | −1.29058e11 | − | 1.29058e11i | −0.477861 | − | 0.477861i | 0.426586 | − | 0.904447i | \(-0.359716\pi\) |
−0.904447 | + | 0.426586i | \(0.859716\pi\) | |||||||
\(348\) | 4.63963e10 | − | 2.99265e11i | 0.169581 | − | 1.09383i | ||||
\(349\) | − | 7.44601e10i | − | 0.268664i | −0.990936 | − | 0.134332i | \(-0.957111\pi\) | ||
0.990936 | − | 0.134332i | \(-0.0428888\pi\) | |||||||
\(350\) | −4.51616e10 | − | 1.61717e11i | −0.160865 | − | 0.576036i | ||||
\(351\) | −1.31626e11 | − | 3.91979e11i | −0.462872 | − | 1.37842i | ||||
\(352\) | −1.20444e11 | + | 1.20444e11i | −0.418161 | + | 0.418161i | ||||
\(353\) | 2.49054e11 | − | 2.49054e11i | 0.853705 | − | 0.853705i | −0.136882 | − | 0.990587i | \(-0.543708\pi\) |
0.990587 | + | 0.136882i | \(0.0437083\pi\) | |||||||
\(354\) | −1.41682e11 | − | 1.93674e11i | −0.479512 | − | 0.655475i | ||||
\(355\) | −1.85279e11 | − | 1.40627e11i | −0.619155 | − | 0.469938i | ||||
\(356\) | − | 2.09967e11i | − | 0.692829i | ||||||
\(357\) | 1.33073e11 | + | 2.06309e10i | 0.433594 | + | 0.0672220i | ||||
\(358\) | 1.70404e11 | + | 1.70404e11i | 0.548285 | + | 0.548285i | ||||
\(359\) | −4.84921e11 | −1.54080 | −0.770399 | − | 0.637562i | \(-0.779943\pi\) | ||||
−0.770399 | + | 0.637562i | \(0.779943\pi\) | |||||||
\(360\) | 2.24416e10 | − | 1.29602e11i | 0.0704193 | − | 0.406678i | ||||
\(361\) | −2.85075e11 | −0.883440 | ||||||||
\(362\) | −1.00771e11 | − | 1.00771e11i | −0.308422 | − | 0.308422i | ||||
\(363\) | 2.68151e11 | + | 4.15726e10i | 0.810586 | + | 0.125669i | ||||
\(364\) | − | 2.46036e11i | − | 0.734586i | ||||||
\(365\) | −2.87398e11 | + | 3.93765e10i | −0.847550 | + | 0.116123i | ||||
\(366\) | −3.66606e11 | − | 5.01136e11i | −1.06791 | − | 1.45979i | ||||
\(367\) | 8.65915e10 | − | 8.65915e10i | 0.249160 | − | 0.249160i | −0.571466 | − | 0.820626i | \(-0.693625\pi\) |
0.820626 | + | 0.571466i | \(0.193625\pi\) | |||||||
\(368\) | 1.29439e11 | − | 1.29439e11i | 0.367916 | − | 0.367916i | ||||
\(369\) | 1.76741e10 | − | 5.56306e10i | 0.0496271 | − | 0.156205i | ||||
\(370\) | 3.75812e11 | − | 4.95141e11i | 1.04247 | − | 1.37348i | ||||
\(371\) | 2.07195e11i | 0.567801i | ||||||||
\(372\) | −7.56969e10 | + | 4.88258e11i | −0.204944 | + | 1.32192i | ||||
\(373\) | −2.64369e9 | − | 2.64369e9i | −0.00707165 | − | 0.00707165i | 0.703562 | − | 0.710634i | \(-0.251592\pi\) |
−0.710634 | + | 0.703562i | \(0.751592\pi\) | |||||||
\(374\) | −2.67580e11 | −0.707183 | ||||||||
\(375\) | 3.30271e11 | + | 1.93831e11i | 0.862443 | + | 0.506155i | ||||
\(376\) | 1.46330e11 | 0.377562 | ||||||||
\(377\) | 3.50459e11 | + | 3.50459e11i | 0.893514 | + | 0.893514i | ||||
\(378\) | 2.12566e11 | + | 1.05695e11i | 0.535527 | + | 0.266281i | ||||
\(379\) | − | 6.09211e9i | − | 0.0151667i | −0.999971 | − | 0.00758336i | \(-0.997586\pi\) | ||
0.999971 | − | 0.00758336i | \(-0.00241388\pi\) | |||||||
\(380\) | −4.29562e11 | + | 5.65959e11i | −1.05682 | + | 1.39238i | ||||
\(381\) | 3.05970e11 | − | 2.23832e11i | 0.743903 | − | 0.544202i | ||||
\(382\) | −4.30792e11 | + | 4.30792e11i | −1.03510 | + | 1.03510i | ||||
\(383\) | 2.56744e11 | − | 2.56744e11i | 0.609686 | − | 0.609686i | −0.333178 | − | 0.942864i | \(-0.608121\pi\) |
0.942864 | + | 0.333178i | \(0.108121\pi\) | |||||||
\(384\) | −2.73229e11 | + | 1.99881e11i | −0.641264 | + | 0.469117i | ||||
\(385\) | −7.18181e10 | + | 9.83983e9i | −0.166595 | + | 0.0228252i | ||||
\(386\) | 4.03423e11i | 0.924949i | ||||||||
\(387\) | −2.90033e11 | − | 5.60137e11i | −0.657277 | − | 1.26939i | ||||
\(388\) | −1.13606e11 | − | 1.13606e11i | −0.254484 | − | 0.254484i | ||||
\(389\) | 5.89997e11 | 1.30640 | 0.653200 | − | 0.757185i | \(-0.273426\pi\) | ||||
0.653200 | + | 0.757185i | \(0.273426\pi\) | |||||||
\(390\) | 6.95705e11 | + | 7.20703e11i | 1.52277 | + | 1.57749i | ||||
\(391\) | 4.08401e11 | 0.883673 | ||||||||
\(392\) | −1.14975e11 | − | 1.14975e11i | −0.245932 | − | 0.245932i | ||||
\(393\) | −8.25327e10 | + | 5.32351e11i | −0.174526 | + | 1.12572i | ||||
\(394\) | 4.39139e10i | 0.0918056i | ||||||||
\(395\) | −2.23702e10 | − | 1.69789e10i | −0.0462362 | − | 0.0350933i | ||||
\(396\) | −2.51843e11 | − | 8.00119e10i | −0.514638 | − | 0.163503i | ||||
\(397\) | −5.96528e10 | + | 5.96528e10i | −0.120524 | + | 0.120524i | −0.764796 | − | 0.644272i | \(-0.777160\pi\) |
0.644272 | + | 0.764796i | \(0.277160\pi\) | |||||||
\(398\) | −2.31542e11 | + | 2.31542e11i | −0.462547 | + | 0.462547i | ||||
\(399\) | −1.62708e11 | − | 2.22415e11i | −0.321389 | − | 0.439326i | ||||
\(400\) | −8.97019e10 | − | 3.21209e11i | −0.175199 | − | 0.627362i | ||||
\(401\) | 7.77937e11i | 1.50243i | 0.660057 | + | 0.751216i | \(0.270532\pi\) | ||||
−0.660057 | + | 0.751216i | \(0.729468\pi\) | |||||||
\(402\) | 3.30054e11 | + | 5.11698e10i | 0.630330 | + | 0.0977229i | ||||
\(403\) | −5.71784e11 | − | 5.71784e11i | −1.07984 | − | 1.07984i | ||||
\(404\) | 8.33987e11 | 1.55755 | ||||||||
\(405\) | −5.16232e11 | + | 1.63272e11i | −0.953449 | + | 0.301553i | ||||
\(406\) | −2.84549e11 | −0.519745 | ||||||||
\(407\) | −1.89764e11 | − | 1.89764e11i | −0.342798 | − | 0.342798i | ||||
\(408\) | −2.52541e11 | − | 3.91525e10i | −0.451191 | − | 0.0699502i | ||||
\(409\) | − | 6.57857e11i | − | 1.16246i | −0.813741 | − | 0.581228i | \(-0.802573\pi\) | ||
0.813741 | − | 0.581228i | \(-0.197427\pi\) | |||||||
\(410\) | 1.91949e10 | + | 1.40098e11i | 0.0335474 | + | 0.244853i | ||||
\(411\) | 1.62729e10 | + | 2.22444e10i | 0.0281305 | + | 0.0384533i | ||||
\(412\) | −4.60827e11 | + | 4.60827e11i | −0.787954 | + | 0.787954i | ||||
\(413\) | −8.93129e10 | + | 8.93129e10i | −0.151056 | + | 0.151056i | ||||
\(414\) | 6.86163e11 | + | 2.17998e11i | 1.14796 | + | 0.364712i | ||||
\(415\) | 8.47192e10 | + | 6.18341e11i | 0.140206 | + | 1.02332i | ||||
\(416\) | − | 1.23894e12i | − | 2.02829i | ||||||
\(417\) | 5.11669e10 | − | 3.30036e11i | 0.0828661 | − | 0.534501i | ||||
\(418\) | 3.87198e11 | + | 3.87198e11i | 0.620354 | + | 0.620354i | ||||
\(419\) | −5.06415e10 | −0.0802683 | −0.0401341 | − | 0.999194i | \(-0.512779\pi\) | ||||
−0.0401341 | + | 0.999194i | \(0.512779\pi\) | |||||||
\(420\) | −3.22118e11 | − | 5.68511e9i | −0.505118 | − | 0.00891491i | ||||
\(421\) | −7.05477e11 | −1.09449 | −0.547247 | − | 0.836971i | \(-0.684324\pi\) | ||||
−0.547247 | + | 0.836971i | \(0.684324\pi\) | |||||||
\(422\) | −5.82989e11 | − | 5.82989e11i | −0.894859 | − | 0.894859i | ||||
\(423\) | −2.76968e11 | − | 5.34905e11i | −0.420628 | − | 0.812353i | ||||
\(424\) | − | 3.93206e11i | − | 0.590845i | ||||||
\(425\) | 3.65223e11 | − | 6.48247e11i | 0.543010 | − | 0.963808i | ||||
\(426\) | −6.43016e11 | + | 4.70399e11i | −0.945973 | + | 0.692027i | ||||
\(427\) | −2.31100e11 | + | 2.31100e11i | −0.336414 | + | 0.336414i | ||||
\(428\) | −4.52279e10 | + | 4.52279e10i | −0.0651492 | + | 0.0651492i | ||||
\(429\) | 3.49039e11 | − | 2.55339e11i | 0.497526 | − | 0.363965i | ||||
\(430\) | 1.21719e12 | + | 9.23849e11i | 1.71693 | + | 1.30315i | ||||
\(431\) | 6.89319e11i | 0.962216i | 0.876661 | + | 0.481108i | \(0.159765\pi\) | ||||
−0.876661 | + | 0.481108i | \(0.840235\pi\) | |||||||
\(432\) | 4.22209e11 | + | 2.09935e11i | 0.583244 | + | 0.290007i | ||||
\(433\) | 5.29796e11 | + | 5.29796e11i | 0.724291 | + | 0.724291i | 0.969476 | − | 0.245186i | \(-0.0788489\pi\) |
−0.245186 | + | 0.969476i | \(0.578849\pi\) | |||||||
\(434\) | 4.64250e11 | 0.628128 | ||||||||
\(435\) | 4.66930e11 | − | 4.50734e11i | 0.625244 | − | 0.603557i | ||||
\(436\) | 3.78762e11 | 0.501969 | ||||||||
\(437\) | −5.90971e11 | − | 5.90971e11i | −0.775175 | − | 0.775175i | ||||
\(438\) | −1.52221e11 | + | 9.81855e11i | −0.197625 | + | 1.27472i | ||||
\(439\) | 2.54784e11i | 0.327402i | 0.986510 | + | 0.163701i | \(0.0523432\pi\) | ||||
−0.986510 | + | 0.163701i | \(0.947657\pi\) | |||||||
\(440\) | 1.36294e11 | − | 1.86736e10i | 0.173356 | − | 0.0237515i | ||||
\(441\) | −2.02666e11 | + | 6.37906e11i | −0.255157 | + | 0.803125i | ||||
\(442\) | 1.37622e12 | − | 1.37622e12i | 1.71509 | − | 1.71509i | ||||
\(443\) | −4.67936e11 | + | 4.67936e11i | −0.577258 | + | 0.577258i | −0.934147 | − | 0.356889i | \(-0.883837\pi\) |
0.356889 | + | 0.934147i | \(0.383837\pi\) | |||||||
\(444\) | −7.04214e11 | − | 9.62632e11i | −0.859966 | − | 1.17554i | ||||
\(445\) | 2.72036e11 | − | 3.58414e11i | 0.328856 | − | 0.433276i | ||||
\(446\) | − | 1.68516e12i | − | 2.01667i | ||||||
\(447\) | −8.24467e11 | − | 1.27821e11i | −0.976764 | − | 0.151432i | ||||
\(448\) | 3.47210e11 | + | 3.47210e11i | 0.407231 | + | 0.407231i | ||||
\(449\) | −6.51184e10 | −0.0756128 | −0.0378064 | − | 0.999285i | \(-0.512037\pi\) | ||||
−0.0378064 | + | 0.999285i | \(0.512037\pi\) | |||||||
\(450\) | 9.59641e11 | − | 8.94184e11i | 1.10320 | − | 1.02795i | ||||
\(451\) | 6.10494e10 | 0.0694843 | ||||||||
\(452\) | −2.48410e10 | − | 2.48410e10i | −0.0279928 | − | 0.0279928i | ||||
\(453\) | −1.38433e12 | − | 2.14619e11i | −1.54454 | − | 0.239457i | ||||
\(454\) | 4.19968e11i | 0.463943i | ||||||||
\(455\) | 3.18767e11 | − | 4.19984e11i | 0.348676 | − | 0.459390i | ||||
\(456\) | 3.08781e11 | + | 4.22091e11i | 0.334432 | + | 0.457156i | ||||
\(457\) | −5.51621e10 | + | 5.51621e10i | −0.0591586 | + | 0.0591586i | −0.736067 | − | 0.676909i | \(-0.763319\pi\) |
0.676909 | + | 0.736067i | \(0.263319\pi\) | |||||||
\(458\) | −1.75915e11 | + | 1.75915e11i | −0.186813 | + | 0.186813i | ||||
\(459\) | 3.34880e11 | + | 9.97261e11i | 0.352153 | + | 1.04870i | ||||
\(460\) | −9.68017e11 | + | 1.32628e11i | −1.00803 | + | 0.138110i | ||||
\(461\) | − | 6.97952e11i | − | 0.719733i | −0.933004 | − | 0.359866i | \(-0.882822\pi\) | ||
0.933004 | − | 0.359866i | \(-0.117178\pi\) | |||||||
\(462\) | −3.80388e10 | + | 2.45357e11i | −0.0388453 | + | 0.250559i | ||||
\(463\) | 5.40771e11 | + | 5.40771e11i | 0.546888 | + | 0.546888i | 0.925539 | − | 0.378651i | \(-0.123612\pi\) |
−0.378651 | + | 0.925539i | \(0.623612\pi\) | |||||||
\(464\) | −5.65184e11 | −0.566056 | ||||||||
\(465\) | −7.61808e11 | + | 7.35384e11i | −0.755627 | + | 0.729417i | ||||
\(466\) | −2.67106e12 | −2.62389 | ||||||||
\(467\) | 1.32133e12 | + | 1.32133e12i | 1.28554 | + | 1.28554i | 0.937468 | + | 0.348071i | \(0.113163\pi\) |
0.348071 | + | 0.937468i | \(0.386837\pi\) | |||||||
\(468\) | 1.70680e12 | − | 8.83765e11i | 1.64466 | − | 0.851589i | ||||
\(469\) | − | 1.75802e11i | − | 0.167782i | ||||||
\(470\) | 1.16236e12 | + | 8.82233e11i | 1.09876 | + | 0.833955i | ||||
\(471\) | 1.27387e12 | − | 9.31896e11i | 1.19270 | − | 0.872516i | ||||
\(472\) | 1.69494e11 | − | 1.69494e11i | 0.157187 | − | 0.157187i | ||||
\(473\) | 4.66492e11 | − | 4.66492e11i | 0.428518 | − | 0.428518i | ||||
\(474\) | −7.76362e10 | + | 5.67948e10i | −0.0706418 | + | 0.0516780i | ||||
\(475\) | −1.46653e12 | + | 4.09547e11i | −1.32181 | + | 0.369133i | ||||
\(476\) | 6.25957e11i | 0.558873i | ||||||||
\(477\) | −1.43735e12 | + | 7.44246e11i | −1.27125 | + | 0.658239i | ||||
\(478\) | −1.65090e12 | − | 1.65090e12i | −1.44643 | − | 1.44643i | ||||
\(479\) | 3.16114e11 | 0.274368 | 0.137184 | − | 0.990546i | \(-0.456195\pi\) | ||||
0.137184 | + | 0.990546i | \(0.456195\pi\) | |||||||
\(480\) | −1.62205e12 | − | 2.86279e10i | −1.39470 | − | 0.0246152i | ||||
\(481\) | 1.95199e12 | 1.66274 | ||||||||
\(482\) | 2.35990e11 | + | 2.35990e11i | 0.199151 | + | 0.199151i | ||||
\(483\) | 5.80577e10 | − | 3.74483e11i | 0.0485398 | − | 0.313090i | ||||
\(484\) | 1.26134e12i | 1.04479i | ||||||||
\(485\) | −4.67365e10 | − | 3.41116e11i | −0.0383547 | − | 0.279940i | ||||
\(486\) | 3.03170e10 | + | 1.85427e12i | 0.0246504 | + | 1.50768i | ||||
\(487\) | 3.83367e11 | − | 3.83367e11i | 0.308841 | − | 0.308841i | −0.535619 | − | 0.844460i | \(-0.679922\pi\) |
0.844460 | + | 0.535619i | \(0.179922\pi\) | |||||||
\(488\) | 4.38571e11 | − | 4.38571e11i | 0.350067 | − | 0.350067i | ||||
\(489\) | 7.03300e11 | + | 9.61383e11i | 0.556225 | + | 0.760338i | ||||
\(490\) | −2.20105e11 | − | 1.60648e12i | −0.172483 | − | 1.25891i | ||||
\(491\) | 2.14570e11i | 0.166611i | 0.996524 | + | 0.0833053i | \(0.0265477\pi\) | ||||
−0.996524 | + | 0.0833053i | \(0.973452\pi\) | |||||||
\(492\) | 2.68123e11 | + | 4.15682e10i | 0.206296 | + | 0.0319830i | ||||
\(493\) | −8.91627e11 | − | 8.91627e11i | −0.679786 | − | 0.679786i | ||||
\(494\) | −3.98288e12 | −3.00903 | ||||||||
\(495\) | −3.26232e11 | − | 4.62872e11i | −0.244233 | − | 0.346527i | ||||
\(496\) | 9.22114e11 | 0.684096 | ||||||||
\(497\) | 2.96528e11 | + | 2.96528e11i | 0.218003 | + | 0.218003i | ||||
\(498\) | 2.11248e12 | + | 3.27507e11i | 1.53908 | + | 0.238610i | ||||
\(499\) | − | 1.71705e12i | − | 1.23974i | −0.784705 | − | 0.619869i | \(-0.787186\pi\) | ||
0.784705 | − | 0.619869i | \(-0.212814\pi\) | |||||||
\(500\) | −6.55154e11 | + | 1.65512e12i | −0.468790 | + | 1.18431i | ||||
\(501\) | 1.00302e12 | + | 1.37110e12i | 0.711282 | + | 0.972295i | ||||
\(502\) | −2.24676e11 | + | 2.24676e11i | −0.157903 | + | 0.157903i | ||||
\(503\) | −1.84055e11 | + | 1.84055e11i | −0.128201 | + | 0.128201i | −0.768296 | − | 0.640095i | \(-0.778895\pi\) |
0.640095 | + | 0.768296i | \(0.278895\pi\) | |||||||
\(504\) | −7.18017e10 | + | 2.26001e11i | −0.0495675 | + | 0.156017i | ||||
\(505\) | 1.42362e12 | + | 1.08052e12i | 0.974051 | + | 0.739304i | ||||
\(506\) | 7.53000e11i | 0.510644i | ||||||||
\(507\) | −2.53983e11 | + | 1.63824e12i | −0.170714 | + | 1.10113i | ||||
\(508\) | 1.24606e12 | + | 1.24606e12i | 0.830139 | + | 0.830139i | ||||
\(509\) | 9.03801e11 | 0.596819 | 0.298410 | − | 0.954438i | \(-0.403544\pi\) | ||||
0.298410 | + | 0.954438i | \(0.403544\pi\) | |||||||
\(510\) | −1.76999e12 | − | 1.83359e12i | −1.15852 | − | 1.20015i | ||||
\(511\) | 5.22981e11 | 0.339306 | ||||||||
\(512\) | 1.29461e12 | + | 1.29461e12i | 0.832574 | + | 0.832574i | ||||
\(513\) | 9.58490e11 | − | 1.92766e12i | 0.611025 | − | 1.22886i | ||||
\(514\) | 8.83712e11i | 0.558440i | ||||||||
\(515\) | −1.38369e12 | + | 1.89579e11i | −0.866773 | + | 0.118757i | ||||
\(516\) | 2.36642e12 | − | 1.73115e12i | 1.46949 | − | 1.07501i | ||||
\(517\) | 4.45478e11 | − | 4.45478e11i | 0.274232 | − | 0.274232i | ||||
\(518\) | −7.92443e11 | + | 7.92443e11i | −0.483597 | + | 0.483597i | ||||
\(519\) | 1.41909e12 | − | 1.03813e12i | 0.858530 | − | 0.628058i | ||||
\(520\) | −6.04944e11 | + | 7.97029e11i | −0.362827 | + | 0.478034i | ||||
\(521\) | − | 3.06662e12i | − | 1.82343i | −0.410818 | − | 0.911717i | \(-0.634757\pi\) | ||
0.410818 | − | 0.911717i | \(-0.365243\pi\) | |||||||
\(522\) | −1.02210e12 | − | 1.97397e12i | −0.602529 | − | 1.16366i | ||||
\(523\) | −3.05440e11 | − | 3.05440e11i | −0.178512 | − | 0.178512i | 0.612195 | − | 0.790707i | \(-0.290287\pi\) |
−0.790707 | + | 0.612195i | \(0.790287\pi\) | |||||||
\(524\) | −2.50410e12 | −1.45098 | ||||||||
\(525\) | −5.42490e11 | − | 4.27044e11i | −0.311655 | − | 0.245333i | ||||
\(526\) | −2.03513e12 | −1.15920 | ||||||||
\(527\) | 1.45471e12 | + | 1.45471e12i | 0.821542 | + | 0.821542i | ||||
\(528\) | −7.55543e10 | + | 4.87339e11i | −0.0423065 | + | 0.272884i | ||||
\(529\) | 6.51866e11i | 0.361916i | ||||||||
\(530\) | 2.37066e12 | − | 3.12341e12i | 1.30505 | − | 1.71944i | ||||
\(531\) | −9.40394e11 | − | 2.98768e11i | −0.513315 | − | 0.163083i | ||||
\(532\) | 9.05782e11 | − | 9.05782e11i | 0.490254 | − | 0.490254i | ||||
\(533\) | −3.13990e11 | + | 3.13990e11i | −0.168517 | + | 0.168517i | ||||
\(534\) | −9.09964e11 | − | 1.24388e12i | −0.484271 | − | 0.661979i | ||||
\(535\) | −1.35802e11 | + | 1.86063e10i | −0.0716660 | + | 0.00981899i | ||||
\(536\) | 3.33630e11i | 0.174592i | ||||||||
\(537\) | 9.79220e11 | + | 1.51813e11i | 0.508155 | + | 0.0787815i | ||||
\(538\) | −1.55492e12 | − | 1.55492e12i | −0.800178 | − | 0.800178i | ||||
\(539\) | −7.00043e11 | −0.357252 | ||||||||
\(540\) | −1.11761e12 | − | 2.25501e12i | −0.565613 | − | 1.14124i | ||||
\(541\) | 2.38546e11 | 0.119725 | 0.0598624 | − | 0.998207i | \(-0.480934\pi\) | ||||
0.0598624 | + | 0.998207i | \(0.480934\pi\) | |||||||
\(542\) | −1.38898e12 | − | 1.38898e12i | −0.691354 | − | 0.691354i | ||||
\(543\) | −5.79074e11 | − | 8.97765e10i | −0.285848 | − | 0.0443163i | ||||
\(544\) | 3.15206e12i | 1.54312i | ||||||||
\(545\) | 6.46548e11 | + | 4.90729e11i | 0.313918 | + | 0.238263i | ||||
\(546\) | −1.06628e12 | − | 1.45756e12i | −0.513458 | − | 0.701877i | ||||
\(547\) | 1.04210e12 | − | 1.04210e12i | 0.497698 | − | 0.497698i | −0.413023 | − | 0.910721i | \(-0.635527\pi\) |
0.910721 | + | 0.413023i | \(0.135527\pi\) | |||||||
\(548\) | −9.05900e10 | + | 9.05900e10i | −0.0429109 | + | 0.0429109i | ||||
\(549\) | −2.43330e12 | − | 7.73071e11i | −1.14319 | − | 0.363198i | ||||
\(550\) | 1.19522e12 | + | 6.73389e11i | 0.556951 | + | 0.313786i | ||||
\(551\) | 2.58043e12i | 1.19264i | ||||||||
\(552\) | −1.10180e11 | + | 7.10678e11i | −0.0505098 | + | 0.325797i | ||||
\(553\) | 3.58021e10 | + | 3.58021e10i | 0.0162796 | + | 0.0162796i | ||||
\(554\) | 6.14637e12 | 2.77220 | ||||||||
\(555\) | 4.51043e10 | − | 2.55560e12i | 0.0201790 | − | 1.14334i | ||||
\(556\) | 1.55244e12 | 0.688935 | ||||||||
\(557\) | −2.14561e12 | − | 2.14561e12i | −0.944503 | − | 0.944503i | 0.0540364 | − | 0.998539i | \(-0.482791\pi\) |
−0.998539 | + | 0.0540364i | \(0.982791\pi\) | |||||||
\(558\) | 1.66759e12 | + | 3.22059e12i | 0.728175 | + | 1.40631i | ||||
\(559\) | 4.79853e12i | 2.07852i | ||||||||
\(560\) | 8.16159e10 | + | 5.95691e11i | 0.0350694 | + | 0.255962i | ||||
\(561\) | −8.88012e11 | + | 6.49625e11i | −0.378518 | + | 0.276905i | ||||
\(562\) | 1.99166e12 | − | 1.99166e12i | 0.842174 | − | 0.842174i | ||||
\(563\) | −2.21479e12 | + | 2.21479e12i | −0.929063 | + | 0.929063i | −0.997645 | − | 0.0685827i | \(-0.978152\pi\) |
0.0685827 | + | 0.997645i | \(0.478152\pi\) | |||||||
\(564\) | 2.25982e12 | − | 1.65317e12i | 0.940410 | − | 0.687957i | ||||
\(565\) | −1.02193e10 | − | 7.45880e10i | −0.00421895 | − | 0.0307929i | ||||
\(566\) | 2.47495e12i | 1.01366i | ||||||||
\(567\) | 9.62042e11 | − | 1.65298e11i | 0.390904 | − | 0.0671651i | ||||
\(568\) | −5.62739e11 | − | 5.62739e11i | −0.226850 | − | 0.226850i | ||||
\(569\) | 6.69546e9 | 0.00267778 | 0.00133889 | − | 0.999999i | \(-0.499574\pi\) | ||||
0.00133889 | + | 0.999999i | \(0.499574\pi\) | |||||||
\(570\) | −9.20316e10 | + | 5.21451e12i | −0.0365174 | + | 2.06908i | ||||
\(571\) | −2.03074e12 | −0.799450 | −0.399725 | − | 0.916635i | \(-0.630894\pi\) | ||||
−0.399725 | + | 0.916635i | \(0.630894\pi\) | |||||||
\(572\) | 1.42145e12 | + | 1.42145e12i | 0.555201 | + | 0.555201i | ||||
\(573\) | −3.83792e11 | + | 2.47553e12i | −0.148731 | + | 0.959339i | ||||
\(574\) | − | 2.54939e11i | − | 0.0980239i | ||||||
\(575\) | −1.82424e12 | − | 1.02778e12i | −0.695948 | − | 0.392097i | ||||
\(576\) | −1.16148e12 | + | 3.65584e12i | −0.439654 | + | 1.38384i | ||||
\(577\) | −8.75871e11 | + | 8.75871e11i | −0.328964 | + | 0.328964i | −0.852193 | − | 0.523228i | \(-0.824728\pi\) |
0.523228 | + | 0.852193i | \(0.324728\pi\) | |||||||
\(578\) | −6.40266e11 | + | 6.40266e11i | −0.238608 | + | 0.238608i | ||||
\(579\) | 9.79422e11 | + | 1.33883e12i | 0.362173 | + | 0.495077i | ||||
\(580\) | 2.40294e12 | + | 1.82383e12i | 0.881693 | + | 0.669204i | ||||
\(581\) | − | 1.12520e12i | − | 0.409674i | ||||||
\(582\) | −1.16538e12 | − | 1.80674e11i | −0.421031 | − | 0.0652742i | ||||
\(583\) | −1.19705e12 | − | 1.19705e12i | −0.429145 | − | 0.429145i | ||||
\(584\) | −9.92492e11 | −0.353077 | ||||||||
\(585\) | 4.05853e12 | + | 7.02764e11i | 1.43274 | + | 0.248089i | ||||
\(586\) | −1.51616e12 | −0.531137 | ||||||||
\(587\) | −1.92869e12 | − | 1.92869e12i | −0.670487 | − | 0.670487i | 0.287341 | − | 0.957828i | \(-0.407229\pi\) |
−0.957828 | + | 0.287341i | \(0.907229\pi\) | |||||||
\(588\) | −3.07451e12 | − | 4.76656e11i | −1.06067 | − | 0.164440i | ||||
\(589\) | − | 4.21005e12i | − | 1.44134i | ||||||
\(590\) | 2.36826e12 | − | 3.24476e11i | 0.804628 | − | 0.110242i | ||||
\(591\) | 1.06613e11 | + | 1.45736e11i | 0.0359474 | + | 0.0491387i | ||||
\(592\) | −1.57398e12 | + | 1.57398e12i | −0.526687 | + | 0.526687i | ||||
\(593\) | 4.16948e12 | − | 4.16948e12i | 1.38464 | − | 1.38464i | 0.548455 | − | 0.836180i | \(-0.315216\pi\) |
0.836180 | − | 0.548455i | \(-0.184784\pi\) | |||||||
\(594\) | −1.83873e12 | + | 6.17443e11i | −0.606007 | + | 0.203497i | ||||
\(595\) | −8.10997e11 | + | 1.06851e12i | −0.265273 | + | 0.349504i | ||||
\(596\) | − | 3.87817e12i | − | 1.25898i | ||||||
\(597\) | −2.06280e11 | + | 1.33055e12i | −0.0664620 | + | 0.428692i | ||||
\(598\) | −3.87284e12 | − | 3.87284e12i | −1.23844 | − | 1.23844i | ||||
\(599\) | −1.09962e12 | −0.348998 | −0.174499 | − | 0.984657i | \(-0.555831\pi\) | ||||
−0.174499 | + | 0.984657i | \(0.555831\pi\) | |||||||
\(600\) | 1.02952e12 | + | 8.10427e11i | 0.324304 | + | 0.255290i | ||||
\(601\) | −3.67045e12 | −1.14758 | −0.573792 | − | 0.819001i | \(-0.694528\pi\) | ||||
−0.573792 | + | 0.819001i | \(0.694528\pi\) | |||||||
\(602\) | −1.94804e12 | − | 1.94804e12i | −0.604525 | − | 0.604525i | ||||
\(603\) | 1.21957e12 | − | 6.31483e11i | 0.375647 | − | 0.194506i | ||||
\(604\) | − | 6.51171e12i | − | 1.99080i | ||||||
\(605\) | −1.63421e12 | + | 2.15311e12i | −0.495917 | + | 0.653383i | ||||
\(606\) | 4.94070e12 | − | 3.61437e12i | 1.48820 | − | 1.08869i | ||||
\(607\) | −1.06009e11 | + | 1.06009e11i | −0.0316952 | + | 0.0316952i | −0.722777 | − | 0.691082i | \(-0.757135\pi\) |
0.691082 | + | 0.722777i | \(0.257135\pi\) | |||||||
\(608\) | 4.56115e12 | − | 4.56115e12i | 1.35366 | − | 1.35366i | ||||
\(609\) | −9.44328e11 | + | 6.90823e11i | −0.278192 | + | 0.203512i | ||||
\(610\) | 6.12794e12 | − | 8.39591e11i | 1.79197 | − | 0.245518i | ||||
\(611\) | 4.58237e12i | 1.33016i | ||||||||
\(612\) | −4.34238e12 | + | 2.24844e12i | −1.25126 | + | 0.647889i | ||||
\(613\) | 2.80239e12 | + | 2.80239e12i | 0.801596 | + | 0.801596i | 0.983345 | − | 0.181749i | \(-0.0581757\pi\) |
−0.181749 | + | 0.983345i | \(0.558176\pi\) | |||||||
\(614\) | 8.83394e12 | 2.50840 | ||||||||
\(615\) | 4.03829e11 | + | 4.18340e11i | 0.113831 | + | 0.117921i | ||||
\(616\) | −2.48015e11 | −0.0694009 | ||||||||
\(617\) | −3.18670e12 | − | 3.18670e12i | −0.885234 | − | 0.885234i | 0.108826 | − | 0.994061i | \(-0.465291\pi\) |
−0.994061 | + | 0.108826i | \(0.965291\pi\) | |||||||
\(618\) | −7.32876e11 | + | 4.72718e12i | −0.202107 | + | 1.30363i | ||||
\(619\) | − | 4.99233e12i | − | 1.36677i | −0.730058 | − | 0.683385i | \(-0.760507\pi\) | ||
0.730058 | − | 0.683385i | \(-0.239493\pi\) | |||||||
\(620\) | −3.92047e12 | − | 2.97563e12i | −1.06555 | − | 0.808753i | ||||
\(621\) | 2.80640e12 | − | 9.42389e11i | 0.757248 | − | 0.254283i | ||||
\(622\) | −1.35743e12 | + | 1.35743e12i | −0.363631 | + | 0.363631i | ||||
\(623\) | −5.73619e11 | + | 5.73619e11i | −0.152555 | + | 0.152555i | ||||
\(624\) | −2.11789e12 | − | 2.89508e12i | −0.559208 | − | 0.764416i | ||||
\(625\) | −3.26274e12 | + | 1.97647e12i | −0.855308 | + | 0.518119i | ||||
\(626\) | 4.34788e12i | 1.13160i | ||||||||
\(627\) | 2.22502e12 | + | 3.44954e11i | 0.574949 | + | 0.0891369i | ||||
\(628\) | 5.18779e12 | + | 5.18779e12i | 1.33096 | + | 1.33096i | ||||
\(629\) | −4.96619e12 | −1.26501 | ||||||||
\(630\) | −1.93292e12 | + | 1.36233e12i | −0.488858 | + | 0.344547i | ||||
\(631\) | −7.88297e11 | −0.197951 | −0.0989755 | − | 0.995090i | \(-0.531557\pi\) | ||||
−0.0989755 | + | 0.995090i | \(0.531557\pi\) | |||||||
\(632\) | −6.79437e10 | − | 6.79437e10i | −0.0169403 | − | 0.0169403i | ||||
\(633\) | −3.35012e12 | − | 5.19384e11i | −0.829362 | − | 0.128580i | ||||
\(634\) | 5.53327e12i | 1.36013i | ||||||||
\(635\) | 5.12614e11 | + | 3.74143e12i | 0.125115 | + | 0.913178i | ||||
\(636\) | −4.44226e12 | − | 6.07239e12i | −1.07658 | − | 1.47164i | ||||
\(637\) | 3.60047e12 | − | 3.60047e12i | 0.866426 | − | 0.866426i | ||||
\(638\) | 1.64396e12 | − | 1.64396e12i | 0.392824 | − | 0.392824i | ||||
\(639\) | −9.91940e11 | + | 3.12220e12i | −0.235359 | + | 0.740811i | ||||
\(640\) | −4.57762e11 | − | 3.34107e12i | −0.107852 | − | 0.787184i | ||||
\(641\) | − | 6.86180e12i | − | 1.60538i | −0.596398 | − | 0.802689i | \(-0.703402\pi\) | ||
0.596398 | − | 0.802689i | \(-0.296598\pi\) | |||||||
\(642\) | −7.19280e10 | + | 4.63949e11i | −0.0167105 | + | 0.107786i | ||||
\(643\) | 3.11642e12 | + | 3.11642e12i | 0.718964 | + | 0.718964i | 0.968393 | − | 0.249429i | \(-0.0802429\pi\) |
−0.249429 | + | 0.968393i | \(0.580243\pi\) | |||||||
\(644\) | 1.76151e12 | 0.403552 | ||||||||
\(645\) | 6.28238e12 | + | 1.10879e11i | 1.42924 | + | 0.0252249i | ||||
\(646\) | 1.01331e13 | 2.28927 | ||||||||
\(647\) | 3.80407e12 | + | 3.80407e12i | 0.853452 | + | 0.853452i | 0.990557 | − | 0.137105i | \(-0.0437797\pi\) |
−0.137105 | + | 0.990557i | \(0.543780\pi\) | |||||||
\(648\) | −1.82573e12 | + | 3.13696e11i | −0.406769 | + | 0.0698910i | ||||
\(649\) | − | 1.03200e12i | − | 0.228337i | ||||||
\(650\) | −9.61066e12 | + | 2.68390e12i | −2.11175 | + | 0.589735i | ||||
\(651\) | 1.54070e12 | − | 1.12710e12i | 0.336204 | − | 0.245950i | ||||
\(652\) | −3.91521e12 | + | 3.91521e12i | −0.848479 | + | 0.848479i | ||||
\(653\) | −8.04145e11 | + | 8.04145e11i | −0.173071 | + | 0.173071i | −0.788327 | − | 0.615256i | \(-0.789053\pi\) |
0.615256 | + | 0.788327i | \(0.289053\pi\) | |||||||
\(654\) | 2.24386e12 | − | 1.64149e12i | 0.479618 | − | 0.350865i | ||||
\(655\) | −4.27451e12 | − | 3.24435e12i | −0.907403 | − | 0.688718i | ||||
\(656\) | − | 5.06370e11i | − | 0.106758i | ||||||
\(657\) | 1.87855e12 | + | 3.62802e12i | 0.393350 | + | 0.759671i | ||||
\(658\) | −1.86029e12 | − | 1.86029e12i | −0.386869 | − | 0.386869i | ||||
\(659\) | 7.77436e12 | 1.60576 | 0.802880 | − | 0.596141i | \(-0.203300\pi\) | ||||
0.802880 | + | 0.596141i | \(0.203300\pi\) | |||||||
\(660\) | 1.89385e12 | − | 1.82816e12i | 0.388507 | − | 0.375031i | ||||
\(661\) | −5.01769e12 | −1.02235 | −0.511173 | − | 0.859478i | \(-0.670789\pi\) | ||||
−0.511173 | + | 0.859478i | \(0.670789\pi\) | |||||||
\(662\) | 6.13146e12 | + | 6.13146e12i | 1.24080 | + | 1.24080i | ||||
\(663\) | 1.22607e12 | − | 7.90839e12i | 0.246437 | − | 1.58956i | ||||
\(664\) | 2.13537e12i | 0.426300i | ||||||||
\(665\) | 2.71971e12 | − | 3.72629e11i | 0.539294 | − | 0.0738889i | ||||
\(666\) | −8.34379e12 | − | 2.65087e12i | −1.64335 | − | 0.522100i | ||||
\(667\) | −2.50914e12 | + | 2.50914e12i | −0.490861 | + | 0.490861i | ||||
\(668\) | −5.58376e12 | + | 5.58376e12i | −1.08501 | + | 1.08501i | ||||
\(669\) | −4.09120e12 | − | 5.59251e12i | −0.789647 | − | 1.07942i | ||||
\(670\) | −2.01147e12 | + | 2.65017e12i | −0.385636 | + | 0.508085i | ||||
\(671\) | − | 2.67032e12i | − | 0.508524i | ||||||
\(672\) | 2.89028e12 | + | 4.48093e11i | 0.546737 | + | 0.0847630i | ||||
\(673\) | 5.95172e12 | + | 5.95172e12i | 1.11834 | + | 1.11834i | 0.991985 | + | 0.126358i | \(0.0403288\pi\) |
0.126358 | + | 0.991985i | \(0.459671\pi\) | |||||||
\(674\) | −1.40842e13 | −2.62883 | ||||||||
\(675\) | 1.01386e12 | − | 5.29730e12i | 0.187980 | − | 0.982173i | ||||
\(676\) | −7.70602e12 | −1.41929 | ||||||||
\(677\) | −5.35981e12 | − | 5.35981e12i | −0.980619 | − | 0.980619i | 0.0191970 | − | 0.999816i | \(-0.493889\pi\) |
−0.999816 | + | 0.0191970i | \(0.993889\pi\) | |||||||
\(678\) | −2.54820e11 | − | 3.95059e10i | −0.0463127 | − | 0.00718006i | ||||
\(679\) | 6.20734e11i | 0.112071i | ||||||||
\(680\) | 1.53908e12 | − | 2.02777e12i | 0.276039 | − | 0.363688i | ||||
\(681\) | 1.01959e12 | + | 1.39374e12i | 0.181662 | + | 0.248324i | ||||
\(682\) | −2.68217e12 | + | 2.68217e12i | −0.474740 | + | 0.474740i | ||||
\(683\) | −3.78753e12 | + | 3.78753e12i | −0.665982 | + | 0.665982i | −0.956784 | − | 0.290801i | \(-0.906078\pi\) |
0.290801 | + | 0.956784i | \(0.406078\pi\) | |||||||
\(684\) | 9.53717e12 | + | 3.03001e12i | 1.66597 | + | 0.529287i | ||||
\(685\) | −2.72007e11 | + | 3.72678e10i | −0.0472033 | + | 0.00646734i | ||||
\(686\) | 6.39242e12i | 1.10206i | ||||||||
\(687\) | −1.56722e11 | + | 1.01089e12i | −0.0268427 | + | 0.173140i | ||||
\(688\) | −3.86929e12 | − | 3.86929e12i | −0.658389 | − | 0.658389i | ||||
\(689\) | 1.23134e13 | 2.08157 | ||||||||
\(690\) | −5.15992e12 | + | 4.98095e12i | −0.866607 | + | 0.836548i | ||||
\(691\) | 3.55164e12 | 0.592621 | 0.296311 | − | 0.955092i | \(-0.404244\pi\) | ||||
0.296311 | + | 0.955092i | \(0.404244\pi\) | |||||||
\(692\) | 5.77920e12 | + | 5.77920e12i | 0.958055 | + | 0.958055i | ||||
\(693\) | 4.69434e11 | + | 9.06611e11i | 0.0773170 | + | 0.149321i | ||||
\(694\) | − | 6.22734e12i | − | 1.01902i | ||||||
\(695\) | 2.65002e12 | + | 2.01136e12i | 0.430841 | + | 0.327008i | ||||
\(696\) | 1.79211e12 | − | 1.31102e12i | 0.289483 | − | 0.211771i | ||||
\(697\) | 7.98842e11 | − | 7.98842e11i | 0.128208 | − | 0.128208i | ||||
\(698\) | 1.79643e12 | − | 1.79643e12i | 0.286459 | − | 0.286459i | ||||
\(699\) | −8.86437e12 | + | 6.48473e12i | −1.40443 | + | 1.02741i | ||||
\(700\) | 1.57528e12 | − | 2.79602e12i | 0.247979 | − | 0.440148i | ||||
\(701\) | 9.92692e12i | 1.55268i | 0.630312 | + | 0.776342i | \(0.282927\pi\) | ||||
−0.630312 | + | 0.776342i | \(0.717073\pi\) | |||||||
\(702\) | 6.28131e12 | − | 1.26326e13i | 0.976188 | − | 1.96325i | ||||
\(703\) | 7.18625e12 | + | 7.18625e12i | 1.10969 | + | 1.10969i | ||||
\(704\) | −4.01195e12 | −0.615571 | ||||||||
\(705\) | 5.99938e12 | + | 1.05884e11i | 0.914650 | + | 0.0161428i | ||||
\(706\) | 1.20174e13 | 1.82050 | ||||||||
\(707\) | −2.27841e12 | − | 2.27841e12i | −0.342961 | − | 0.342961i | ||||
\(708\) | 7.02681e11 | − | 4.53242e12i | 0.105101 | − | 0.677922i | ||||
\(709\) | − | 1.73059e11i | − | 0.0257209i | −0.999917 | − | 0.0128605i | \(-0.995906\pi\) | ||
0.999917 | − | 0.0128605i | \(-0.00409373\pi\) | |||||||
\(710\) | −1.07729e12 | − | 7.86286e12i | −0.159100 | − | 1.16123i | ||||
\(711\) | −1.19764e11 | + | 3.76967e11i | −0.0175758 | + | 0.0553211i | ||||
\(712\) | 1.08859e12 | − | 1.08859e12i | 0.158747 | − | 0.158747i | ||||
\(713\) | 4.09373e12 | − | 4.09373e12i | 0.593220 | − | 0.593220i | ||||
\(714\) | 2.71280e12 | + | 3.70829e12i | 0.390639 | + | 0.533988i | ||||
\(715\) | 5.84771e11 | + | 4.26807e12i | 0.0836774 | + | 0.610738i | ||||
\(716\) | 4.60611e12i | 0.654976i | ||||||||
\(717\) | −9.48685e12 | − | 1.47079e12i | −1.34056 | − | 0.207833i | ||||
\(718\) | −1.16993e13 | − | 1.16993e13i | −1.64285 | − | 1.64285i | ||||
\(719\) | −1.36426e13 | −1.90379 | −0.951894 | − | 0.306427i | \(-0.900867\pi\) | ||||
−0.951894 | + | 0.306427i | \(0.900867\pi\) | |||||||
\(720\) | −3.83926e12 | + | 2.70591e12i | −0.532416 | + | 0.375247i | ||||
\(721\) | 2.51791e12 | 0.347002 | ||||||||
\(722\) | −6.87777e12 | − | 6.87777e12i | −0.941955 | − | 0.941955i | ||||
\(723\) | 1.35611e12 | + | 2.10243e11i | 0.184574 | + | 0.0286154i | ||||
\(724\) | − | 2.72388e12i | − | 0.368438i | ||||||
\(725\) | 1.73885e12 | + | 6.22656e12i | 0.233744 | + | 0.837004i | ||||
\(726\) | 5.46645e12 | + | 7.47243e12i | 0.730283 | + | 0.998267i | ||||
\(727\) | 8.34517e12 | − | 8.34517e12i | 1.10798 | − | 1.10798i | 0.114559 | − | 0.993416i | \(-0.463454\pi\) |
0.993416 | − | 0.114559i | \(-0.0365456\pi\) | |||||||
\(728\) | 1.27559e12 | − | 1.27559e12i | 0.168314 | − | 0.168314i | ||||
\(729\) | 4.60237e12 | + | 6.08012e12i | 0.603542 | + | 0.797331i | ||||
\(730\) | −7.88380e12 | − | 5.98379e12i | −1.02750 | − | 0.779873i | ||||
\(731\) | − | 1.22083e13i | − | 1.58134i | ||||||
\(732\) | 1.81821e12 | − | 1.17278e13i | 0.234069 | − | 1.50978i | ||||
\(733\) | −7.93254e12 | − | 7.93254e12i | −1.01495 | − | 1.01495i | −0.999887 | − | 0.0150629i | \(-0.995205\pi\) |
−0.0150629 | − | 0.999887i | \(-0.504795\pi\) | |||||||
\(734\) | 4.17824e12 | 0.531326 | ||||||||
\(735\) | −4.63064e12 | − | 4.79703e12i | −0.585259 | − | 0.606289i | ||||
\(736\) | 8.87027e12 | 1.11426 | ||||||||
\(737\) | 1.01568e12 | + | 1.01568e12i | 0.126810 | + | 0.126810i | ||||
\(738\) | 1.76856e12 | − | 9.15743e11i | 0.219465 | − | 0.113637i | ||||
\(739\) | 7.81080e12i | 0.963376i | 0.876343 | + | 0.481688i | \(0.159976\pi\) | ||||
−0.876343 | + | 0.481688i | \(0.840024\pi\) | |||||||
\(740\) | 1.17712e13 | − | 1.61277e12i | 1.44303 | − | 0.197711i | ||||
\(741\) | −1.32179e13 | + | 9.66956e12i | −1.61057 | + | 1.17822i | ||||
\(742\) | −4.99881e12 | + | 4.99881e12i | −0.605410 | + | 0.605410i | ||||
\(743\) | −3.07191e12 | + | 3.07191e12i | −0.369793 | + | 0.369793i | −0.867402 | − | 0.497609i | \(-0.834212\pi\) |
0.497609 | + | 0.867402i | \(0.334212\pi\) | |||||||
\(744\) | −2.92387e12 | + | 2.13896e12i | −0.349849 | + | 0.255932i | ||||
\(745\) | 5.02461e12 | − | 6.62005e12i | 0.597584 | − | 0.787332i | ||||
\(746\) | − | 1.27564e11i | − | 0.0150801i | ||||||
\(747\) | 7.80575e12 | − | 4.04174e12i | 0.917217 | − | 0.474926i | ||||
\(748\) | −3.61641e12 | − | 3.61641e12i | −0.422397 | − | 0.422397i | ||||
\(749\) | 2.47120e11 | 0.0286906 | ||||||||
\(750\) | 3.29177e12 | + | 1.26446e13i | 0.379887 | + | 1.45925i | ||||
\(751\) | −1.25972e13 | −1.44508 | −0.722542 | − | 0.691328i | \(-0.757026\pi\) | ||||
−0.722542 | + | 0.691328i | \(0.757026\pi\) | |||||||
\(752\) | −3.69499e12 | − | 3.69499e12i | −0.421340 | − | 0.421340i | ||||
\(753\) | −2.00164e11 | + | 1.29109e12i | −0.0226886 | + | 0.146346i | ||||
\(754\) | 1.69105e13i | 1.90539i | ||||||||
\(755\) | 8.43665e12 | − | 1.11155e13i | 0.944949 | − | 1.24499i | ||||
\(756\) | 1.44440e12 | + | 4.30138e12i | 0.160820 | + | 0.478916i | ||||
\(757\) | −5.02402e12 | + | 5.02402e12i | −0.556058 | + | 0.556058i | −0.928183 | − | 0.372125i | \(-0.878629\pi\) |
0.372125 | + | 0.928183i | \(0.378629\pi\) | |||||||
\(758\) | 1.46979e11 | − | 1.46979e11i | 0.0161713 | − | 0.0161713i | ||||
\(759\) | 1.82812e12 | + | 2.49897e12i | 0.199948 | + | 0.273321i | ||||
\(760\) | −5.16136e12 | + | 7.07160e11i | −0.561181 | + | 0.0768877i | ||||
\(761\) | − | 5.64298e12i | − | 0.609926i | −0.952364 | − | 0.304963i | \(-0.901356\pi\) | ||
0.952364 | − | 0.304963i | \(-0.0986442\pi\) | |||||||
\(762\) | 1.27821e13 | + | 1.98166e12i | 1.37342 | + | 0.212928i | ||||
\(763\) | −1.03476e12 | − | 1.03476e12i | −0.110530 | − | 0.110530i | ||||
\(764\) | −1.16445e13 | −1.23652 | ||||||||
\(765\) | −1.03256e13 | − | 1.78795e12i | −1.09003 | − | 0.188746i | ||||
\(766\) | 1.23885e13 | 1.30014 | ||||||||
\(767\) | 5.30777e12 | + | 5.30777e12i | 0.553774 | + | 0.553774i | ||||
\(768\) | 2.41927e12 | + | 3.75071e11i | 0.250934 | + | 0.0389034i | ||||
\(769\) | 5.89483e11i | 0.0607859i | 0.999538 | + | 0.0303930i | \(0.00967587\pi\) | ||||
−0.999538 | + | 0.0303930i | \(0.990324\pi\) | |||||||
\(770\) | −1.97009e12 | − | 1.49530e12i | −0.201966 | − | 0.153292i | ||||
\(771\) | 2.14546e12 | + | 2.93275e12i | 0.218663 | + | 0.298904i | ||||
\(772\) | −5.45236e12 | + | 5.45236e12i | −0.552468 | + | 0.552468i | ||||
\(773\) | −4.85128e12 | + | 4.85128e12i | −0.488707 | + | 0.488707i | −0.907898 | − | 0.419191i | \(-0.862314\pi\) |
0.419191 | + | 0.907898i | \(0.362314\pi\) | |||||||
\(774\) | 6.51656e12 | − | 2.05113e13i | 0.652655 | − | 2.05428i | ||||
\(775\) | −2.83698e12 | − | 1.01588e13i | −0.282487 | − | 1.01154i | ||||
\(776\) | − | 1.17800e12i | − | 0.116619i | ||||||
\(777\) | −7.05986e11 | + | 4.55374e12i | −0.0694867 | + | 0.448202i | ||||
\(778\) | 1.42343e13 | + | 1.42343e13i | 1.39293 | + | 1.39293i | ||||
\(779\) | −2.31191e12 | −0.224932 | ||||||||
\(780\) | −3.37860e11 | + | 1.91431e13i | −0.0326822 | + | 1.85177i | ||||
\(781\) | −3.42633e12 | −0.329533 | ||||||||
\(782\) | 9.85315e12 | + | 9.85315e12i | 0.942203 | + | 0.942203i | ||||
\(783\) | −8.18441e12 | − | 4.06954e12i | −0.778143 | − | 0.386917i | ||||
\(784\) | 5.80646e12i | 0.548895i | ||||||||
\(785\) | 2.13420e12 | + | 1.55769e13i | 0.200596 | + | 1.46409i | ||||
\(786\) | −1.48348e13 | + | 1.08524e13i | −1.38637 | + | 1.01420i | ||||
\(787\) | 1.31238e13 | − | 1.31238e13i | 1.21948 | − | 1.21948i | 0.251666 | − | 0.967814i | \(-0.419022\pi\) |
0.967814 | − | 0.251666i | \(-0.0809783\pi\) | |||||||
\(788\) | −5.93507e11 | + | 5.93507e11i | −0.0548350 | + | 0.0548350i | ||||
\(789\) | −6.75395e12 | + | 4.94086e12i | −0.620457 | + | 0.453895i | ||||
\(790\) | −1.30070e11 | − | 9.49343e11i | −0.0118810 | − | 0.0867164i | ||||
\(791\) | 1.35729e11i | 0.0123276i | ||||||||
\(792\) | −8.90873e11 | − | 1.72053e12i | −0.0804549 | − | 0.155381i | ||||
\(793\) | 1.37340e13 | + | 1.37340e13i | 1.23330 | + | 1.23330i | ||||
\(794\) | −2.87838e12 | −0.257014 | ||||||||
\(795\) | 2.84522e11 | − | 1.61210e13i | 0.0252618 | − | 1.43133i | ||||
\(796\) | −6.25869e12 | −0.552554 | ||||||||
\(797\) | 1.00042e13 | + | 1.00042e13i | 0.878255 | + | 0.878255i | 0.993354 | − | 0.115099i | \(-0.0367187\pi\) |
−0.115099 | + | 0.993354i | \(0.536719\pi\) | |||||||
\(798\) | 1.44051e12 | − | 9.29154e12i | 0.125749 | − | 0.811101i | ||||
\(799\) | − | 1.16583e13i | − | 1.01199i | ||||||
\(800\) | 7.93245e12 | − | 1.40796e13i | 0.684703 | − | 1.21531i | ||||
\(801\) | −6.03975e12 | − | 1.91886e12i | −0.518409 | − | 0.164701i | ||||
\(802\) | −1.87686e13 | + | 1.87686e13i | −1.60195 | + | 1.60195i | ||||
\(803\) | −3.02148e12 | + | 3.02148e12i | −0.256448 | + | 0.256448i | ||||
\(804\) | 3.76919e12 | + | 5.15234e12i | 0.318124 | + | 0.434863i | ||||
\(805\) | 3.00691e12 | + | 2.28224e12i | 0.252370 | + | 0.191549i | ||||
\(806\) | − | 2.75899e13i | − | 2.30273i | ||||||
\(807\) | −8.93526e12 | − | 1.38527e12i | −0.741611 | − | 0.114975i | ||||
\(808\) | 4.32387e12 | + | 4.32387e12i | 0.356880 | + | 0.356880i | ||||
\(809\) | 1.77577e13 | 1.45753 | 0.728766 | − | 0.684763i | \(-0.240094\pi\) | ||||
0.728766 | + | 0.684763i | \(0.240094\pi\) | |||||||
\(810\) | −1.63938e13 | − | 8.51558e12i | −1.33813 | − | 0.695075i | ||||
\(811\) | 2.18942e13 | 1.77719 | 0.888597 | − | 0.458689i | \(-0.151681\pi\) | ||||
0.888597 | + | 0.458689i | \(0.151681\pi\) | |||||||
\(812\) | −3.84576e12 | − | 3.84576e12i | −0.310441 | − | 0.310441i | ||||
\(813\) | −7.98173e12 | − | 1.23744e12i | −0.640752 | − | 0.0993386i | ||||
\(814\) | − | 9.15654e12i | − | 0.731007i | ||||||
\(815\) | −1.17559e13 | + | 1.61068e12i | −0.933352 | + | 0.127879i | ||||
\(816\) | 5.38828e12 | + | 7.36556e12i | 0.425446 | + | 0.581567i | ||||
\(817\) | −1.76658e13 | + | 1.76658e13i | −1.38718 | + | 1.38718i | ||||
\(818\) | 1.58715e13 | − | 1.58715e13i | 1.23945 | − | 1.23945i | ||||
\(819\) | −7.07729e12 | − | 2.24849e12i | −0.549654 | − | 0.174628i | ||||
\(820\) | −1.63404e12 | + | 2.15289e12i | −0.126212 | + | 0.166287i | ||||
\(821\) | − | 2.15137e13i | − | 1.65261i | −0.563224 | − | 0.826304i | \(-0.690439\pi\) | ||
0.563224 | − | 0.826304i | \(-0.309561\pi\) | |||||||
\(822\) | −1.44070e11 | + | 9.29275e11i | −0.0110065 | + | 0.0709939i | ||||
\(823\) | −6.85410e12 | − | 6.85410e12i | −0.520776 | − | 0.520776i | 0.397030 | − | 0.917806i | \(-0.370041\pi\) |
−0.917806 | + | 0.397030i | \(0.870041\pi\) | |||||||
\(824\) | −4.77839e12 | −0.361085 | ||||||||
\(825\) | 5.60140e12 | − | 6.66977e11i | 0.420973 | − | 0.0501266i | ||||
\(826\) | −4.30955e12 | −0.322123 | ||||||||
\(827\) | 2.29838e12 | + | 2.29838e12i | 0.170863 | + | 0.170863i | 0.787358 | − | 0.616496i | \(-0.211448\pi\) |
−0.616496 | + | 0.787358i | \(0.711448\pi\) | |||||||
\(828\) | 6.32737e12 | + | 1.22200e13i | 0.467829 | + | 0.903510i | ||||
\(829\) | − | 2.16280e13i | − | 1.59046i | −0.606310 | − | 0.795228i | \(-0.707351\pi\) | ||
0.606310 | − | 0.795228i | \(-0.292649\pi\) | |||||||
\(830\) | −1.28742e13 | + | 1.69621e13i | −0.941608 | + | 1.24059i | ||||
\(831\) | 2.03978e13 | − | 1.49220e13i | 1.48381 | − | 1.08548i | ||||
\(832\) | 2.06343e13 | − | 2.06343e13i | 1.49291 | − | 1.49291i | ||||
\(833\) | −9.16018e12 | + | 9.16018e12i | −0.659177 | + | 0.659177i | ||||
\(834\) | 9.19695e12 | − | 6.72803e12i | 0.658259 | − | 0.481549i | ||||
\(835\) | −1.67659e13 | + | 2.29710e12i | −1.19354 | + | 0.163527i | ||||
\(836\) | 1.04662e13i | 0.741070i | ||||||||
\(837\) | 1.33531e13 | + | 6.63957e12i | 0.940410 | + | 0.467601i | ||||
\(838\) | −1.22179e12 | − | 1.22179e12i | −0.0855848 | − | 0.0855848i | ||||
\(839\) | 4.46417e12 | 0.311037 | 0.155519 | − | 0.987833i | \(-0.450295\pi\) | ||||
0.155519 | + | 0.987833i | \(0.450295\pi\) | |||||||
\(840\) | −1.64057e12 | − | 1.69952e12i | −0.113694 | − | 0.117779i | ||||
\(841\) | −3.55118e12 | −0.244789 | ||||||||
\(842\) | −1.70204e13 | − | 1.70204e13i | −1.16699 | − | 1.16699i | ||||
\(843\) | 1.77437e12 | − | 1.14450e13i | 0.121010 | − | 0.780533i | ||||
\(844\) | − | 1.57585e13i | − | 1.06899i | ||||||
\(845\) | −1.31542e13 | − | 9.98402e12i | −0.887583 | − | 0.673675i | ||||
\(846\) | 6.22301e12 | − | 1.95874e13i | 0.417671 | − | 1.31465i | ||||
\(847\) | 3.44592e12 | − | 3.44592e12i | 0.230054 | − | 0.230054i | ||||
\(848\) | −9.92886e12 | + | 9.92886e12i | −0.659353 | + | 0.659353i | ||||
\(849\) | 6.00862e12 | + | 8.21355e12i | 0.396908 | + | 0.542558i | ||||
\(850\) | 2.44511e13 | − | 6.82830e12i | 1.60662 | − | 0.448670i | ||||
\(851\) | 1.39754e13i | 0.913443i | ||||||||
\(852\) | −1.50481e13 | − | 2.33297e12i | −0.978370 | − | 0.151681i | ||||
\(853\) | −4.23957e12 | − | 4.23957e12i | −0.274190 | − | 0.274190i | 0.556594 | − | 0.830784i | \(-0.312108\pi\) |
−0.830784 | + | 0.556594i | \(0.812108\pi\) | |||||||
\(854\) | −1.11511e13 | −0.717392 | ||||||||
\(855\) | 1.23542e13 | + | 1.75287e13i | 0.790622 | + | 1.12177i | ||||
\(856\) | −4.68975e11 | −0.0298550 | ||||||||
\(857\) | 1.85319e10 | + | 1.85319e10i | 0.00117356 | + | 0.00117356i | 0.707693 | − | 0.706520i | \(-0.249736\pi\) |
−0.706520 | + | 0.707693i | \(0.749736\pi\) | |||||||
\(858\) | 1.45813e13 | + | 2.26060e12i | 0.918552 | + | 0.142407i | ||||
\(859\) | 2.22115e13i | 1.39190i | 0.718089 | + | 0.695951i | \(0.245017\pi\) | ||||
−0.718089 | + | 0.695951i | \(0.754983\pi\) | |||||||
\(860\) | 3.96463e12 | + | 2.89367e13i | 0.247150 | + | 1.80387i | ||||
\(861\) | −6.18935e11 | − | 8.46059e11i | −0.0383823 | − | 0.0524670i | ||||
\(862\) | −1.66306e13 | + | 1.66306e13i | −1.02595 | + | 1.02595i | ||||
\(863\) | 1.62535e13 | − | 1.62535e13i | 0.997467 | − | 0.997467i | −0.00252942 | − | 0.999997i | \(-0.500805\pi\) |
0.999997 | + | 0.00252942i | \(0.000805140\pi\) | |||||||
\(864\) | 7.27341e12 | + | 2.16600e13i | 0.444044 | + | 1.32235i | ||||
\(865\) | 2.37750e12 | + | 1.73527e13i | 0.144394 | + | 1.05389i | ||||
\(866\) | 2.55639e13i | 1.54453i | ||||||||
\(867\) | −5.70412e11 | + | 3.67926e12i | −0.0342849 | + | 0.221144i | ||||
\(868\) | 6.27446e12 | + | 6.27446e12i | 0.375178 | + | 0.375178i | ||||
\(869\) | −4.13687e11 | −0.0246084 | ||||||||
\(870\) | 2.21397e13 | + | 3.90747e11i | 1.31019 | + | 0.0231238i | ||||
\(871\) | −1.04477e13 | −0.615092 | ||||||||
\(872\) | 1.96372e12 | + | 1.96372e12i | 0.115015 | + | 0.115015i | ||||
\(873\) | −4.30615e12 | + | 2.22968e12i | −0.250914 | + | 0.129921i | ||||
\(874\) | − | 2.85157e13i | − | 1.65304i | ||||||
\(875\) | 6.31155e12 | − | 2.73186e12i | 0.363999 | − | 0.157551i | ||||
\(876\) | −1.53273e13 | + | 1.12127e13i | −0.879424 | + | 0.643342i | ||||
\(877\) | 3.20678e12 | − | 3.20678e12i | 0.183051 | − | 0.183051i | −0.609633 | − | 0.792684i | \(-0.708683\pi\) |
0.792684 | + | 0.609633i | \(0.208683\pi\) | |||||||
\(878\) | −6.14695e12 | + | 6.14695e12i | −0.349088 | + | 0.349088i | ||||
\(879\) | −5.03166e12 | + | 3.68091e12i | −0.284290 | + | 0.207972i | ||||
\(880\) | −3.91308e12 | − | 2.97003e12i | −0.219962 | − | 0.166951i | ||||
\(881\) | 6.42796e12i | 0.359486i | 0.983714 | + | 0.179743i | \(0.0575266\pi\) | ||||
−0.983714 | + | 0.179743i | \(0.942473\pi\) | |||||||
\(882\) | −2.02798e13 | + | 1.05007e13i | −1.12838 | + | 0.584262i | ||||
\(883\) | 9.49189e11 | + | 9.49189e11i | 0.0525447 | + | 0.0525447i | 0.732891 | − | 0.680346i | \(-0.238171\pi\) |
−0.680346 | + | 0.732891i | \(0.738171\pi\) | |||||||
\(884\) | 3.71999e13 | 2.04884 | ||||||||
\(885\) | 7.07173e12 | − | 6.82644e12i | 0.387508 | − | 0.374067i | ||||
\(886\) | −2.25790e13 | −1.23099 | ||||||||
\(887\) | −5.66531e12 | − | 5.66531e12i | −0.307303 | − | 0.307303i | 0.536559 | − | 0.843863i | \(-0.319724\pi\) |
−0.843863 | + | 0.536559i | \(0.819724\pi\) | |||||||
\(888\) | 1.33979e12 | − | 8.64190e12i | 0.0723068 | − | 0.466392i | ||||
\(889\) | − | 6.80832e12i | − | 0.365580i | ||||||
\(890\) | 1.52103e13 | − | 2.08397e12i | 0.812613 | − | 0.111336i | ||||
\(891\) | −4.60312e12 | + | 6.51311e12i | −0.244683 | + | 0.346210i | ||||
\(892\) | 2.27754e13 | − | 2.27754e13i | 1.20455 | − | 1.20455i | ||||
\(893\) | −1.68700e13 | + | 1.68700e13i | −0.887736 | + | 0.887736i | ||||
\(894\) | −1.68074e13 | − | 2.29750e13i | −0.879998 | − | 1.20292i | ||||
\(895\) | −5.96773e12 | + | 7.86263e12i | −0.310889 | + | 0.409604i | ||||
\(896\) | 6.07980e12i | 0.315140i | ||||||||
\(897\) | −2.22551e13 | − | 3.45031e12i | −1.14779 | − | 0.177948i | ||||
\(898\) | −1.57106e12 | − | 1.57106e12i | −0.0806210 | − | 0.0806210i | ||||
\(899\) | −1.78750e13 | −0.912696 | ||||||||
\(900\) | 2.50549e13 | + | 8.84672e11i | 1.27292 | + | 0.0449460i | ||||
\(901\) | −3.13272e13 | −1.58366 | ||||||||
\(902\) | 1.47289e12 | + | 1.47289e12i | 0.0740866 | + | 0.0740866i | ||||
\(903\) | −1.11943e13 | − | 1.73551e12i | −0.560278 | − | 0.0868624i | ||||
\(904\) | − | 2.57580e11i | − | 0.0128279i | ||||||
\(905\) | 3.52910e12 | − | 4.64967e12i | 0.174882 | − | 0.230411i | ||||
\(906\) | −2.82207e13 | − | 3.85766e13i | −1.39152 | − | 1.90216i | ||||
\(907\) | −1.41186e13 | + | 1.41186e13i | −0.692720 | + | 0.692720i | −0.962830 | − | 0.270109i | \(-0.912940\pi\) |
0.270109 | + | 0.962830i | \(0.412940\pi\) | |||||||
\(908\) | −5.67598e12 | + | 5.67598e12i | −0.277111 | + | 0.277111i | ||||
\(909\) | 7.62169e12 | − | 2.39898e13i | 0.370266 | − | 1.16544i | ||||
\(910\) | 1.78232e13 | − | 2.44197e12i | 0.861589 | − | 0.118047i | ||||
\(911\) | 7.76303e12i | 0.373421i | 0.982415 | + | 0.186710i | \(0.0597826\pi\) | ||||
−0.982415 | + | 0.186710i | \(0.940217\pi\) | |||||||
\(912\) | 2.86120e12 | − | 1.84553e13i | 0.136953 | − | 0.883372i | ||||
\(913\) | 6.50077e12 | + | 6.50077e12i | 0.309632 | + | 0.309632i | ||||
\(914\) | −2.66170e12 | −0.126154 | ||||||||
\(915\) | 1.82983e13 | − | 1.76636e13i | 0.863010 | − | 0.833076i | ||||
\(916\) | −4.75507e12 | −0.223166 | ||||||||
\(917\) | 6.84108e12 | + | 6.84108e12i | 0.319494 | + | 0.319494i | ||||
\(918\) | −1.59807e13 | + | 3.21394e13i | −0.742684 | + | 1.49364i | ||||
\(919\) | 3.62298e13i | 1.67550i | 0.546051 | + | 0.837752i | \(0.316131\pi\) | ||||
−0.546051 | + | 0.837752i | \(0.683869\pi\) | |||||||
\(920\) | −5.70638e12 | − | 4.33114e12i | −0.262613 | − | 0.199323i | ||||
\(921\) | 2.93170e13 | − | 2.14469e13i | 1.34261 | − | 0.982189i | ||||
\(922\) | 1.68389e13 | − | 1.68389e13i | 0.767404 | − | 0.767404i | ||||
\(923\) | 1.76223e13 | − | 1.76223e13i | 0.799200 | − | 0.799200i | ||||
\(924\) | −3.83017e12 | + | 2.80196e12i | −0.172860 | + | 0.126456i | ||||
\(925\) | 2.21829e13 | + | 1.24978e13i | 0.996278 | + | 0.561303i | ||||
\(926\) | 2.60934e13i | 1.16622i | ||||||||
\(927\) | 9.04437e12 | + | 1.74673e13i | 0.402272 | + | 0.776901i | ||||
\(928\) | −1.93657e13 | − | 1.93657e13i | −0.857170 | − | 0.857170i | ||||
\(929\) | 3.79866e13 | 1.67325 | 0.836623 | − | 0.547779i | \(-0.184526\pi\) | ||||
0.836623 | + | 0.547779i | \(0.184526\pi\) | |||||||
\(930\) | −3.61215e13 | − | 6.37514e11i | −1.58341 | − | 0.0279458i | ||||
\(931\) | 2.65102e13 | 1.15648 | ||||||||
\(932\) | −3.61000e13 | − | 3.61000e13i | −1.56724 | − | 1.56724i | ||||
\(933\) | −1.20933e12 | + | 7.80041e12i | −0.0522490 | + | 0.337016i | ||||
\(934\) | 6.37572e13i | 2.74137i | ||||||||
\(935\) | −1.48775e12 | − | 1.08587e13i | −0.0636618 | − | 0.464649i | ||||
\(936\) | 1.34310e13 | + | 4.26710e12i | 0.571962 | + | 0.181715i | ||||
\(937\) | 1.46335e13 | − | 1.46335e13i | 0.620183 | − | 0.620183i | −0.325395 | − | 0.945578i | \(-0.605497\pi\) |
0.945578 | + | 0.325395i | \(0.105497\pi\) | |||||||
\(938\) | 4.24142e12 | − | 4.24142e12i | 0.178895 | − | 0.178895i | ||||
\(939\) | 1.05557e13 | + | 1.44292e13i | 0.443089 | + | 0.605685i | ||||
\(940\) | 3.78604e12 | + | 2.76332e13i | 0.158165 | + | 1.15440i | ||||
\(941\) | 9.49046e12i | 0.394579i | 0.980345 | + | 0.197289i | \(0.0632139\pi\) | ||||
−0.980345 | + | 0.197289i | \(0.936786\pi\) | |||||||
\(942\) | 5.32165e13 | + | 8.25040e12i | 2.20200 | + | 0.341386i | ||||
\(943\) | −2.24803e12 | − | 2.24803e12i | −0.0925763 | − | 0.0925763i | ||||
\(944\) | −8.55982e12 | −0.350825 | ||||||||
\(945\) | −3.10732e12 | + | 9.21384e12i | −0.126749 | + | 0.375835i | ||||
\(946\) | 2.25093e13 | 0.913801 | ||||||||
\(947\) | −2.94270e13 | − | 2.94270e13i | −1.18897 | − | 1.18897i | −0.977352 | − | 0.211620i | \(-0.932126\pi\) |
−0.211620 | − | 0.977352i | \(-0.567874\pi\) | |||||||
\(948\) | −1.81687e12 | − | 2.81677e11i | −0.0730611 | − | 0.0113270i | ||||
\(949\) | − | 3.10802e13i | − | 1.24390i | ||||||
\(950\) | −4.52625e13 | − | 2.55009e13i | −1.80294 | − | 1.01578i | ||||
\(951\) | 1.34335e13 | + | 1.83631e13i | 0.532572 | + | 0.728005i | ||||
\(952\) | −3.24532e12 | + | 3.24532e12i | −0.128054 | + | 0.128054i | ||||
\(953\) | 7.48853e12 | − | 7.48853e12i | 0.294089 | − | 0.294089i | −0.544604 | − | 0.838693i | \(-0.683320\pi\) |
0.838693 | + | 0.544604i | \(0.183320\pi\) | |||||||
\(954\) | −5.26335e13 | − | 1.67219e13i | −2.05729 | − | 0.653611i | ||||
\(955\) | −1.98772e13 | − | 1.50868e13i | −0.773287 | − | 0.586924i | ||||
\(956\) | − | 4.46248e13i | − | 1.72789i | ||||||
\(957\) | 1.46460e12 | − | 9.44695e12i | 0.0564438 | − | 0.364072i | ||||
\(958\) | 7.62660e12 | + | 7.62660e12i | 0.292541 | + | 0.292541i | ||||
\(959\) | 4.94974e11 | 0.0188973 | ||||||||
\(960\) | −2.65382e13 | − | 2.74918e13i | −1.00844 | − | 1.04468i | ||||
\(961\) | 2.72385e12 | 0.103021 | ||||||||
\(962\) | 4.70940e13 | + | 4.70940e13i | 1.77287 | + | 1.77287i | ||||
\(963\) | 8.87659e11 | + | 1.71432e12i | 0.0332604 | + | 0.0642353i | ||||
\(964\) | 6.37892e12i | 0.237903i | ||||||||
\(965\) | −1.63713e13 | + | 2.24304e12i | −0.607731 | + | 0.0832655i | ||||
\(966\) | 1.04355e13 | − | 7.63412e12i | 0.385583 | − | 0.282073i | ||||
\(967\) | 1.71938e13 | − | 1.71938e13i | 0.632344 | − | 0.632344i | −0.316311 | − | 0.948655i | \(-0.602444\pi\) |
0.948655 | + | 0.316311i | \(0.102444\pi\) | |||||||
\(968\) | −6.53953e12 | + | 6.53953e12i | −0.239391 | + | 0.239391i | ||||
\(969\) | 3.36285e13 | − | 2.46010e13i | 1.22532 | − | 0.896386i | ||||
\(970\) | 7.10225e12 | − | 9.35739e12i | 0.257587 | − | 0.339377i | ||||
\(971\) | 4.33608e13i | 1.56535i | 0.622432 | + | 0.782674i | \(0.286145\pi\) | ||||
−0.622432 | + | 0.782674i | \(0.713855\pi\) | |||||||
\(972\) | −2.46512e13 | + | 2.54707e13i | −0.885808 | + | 0.915255i | ||||
\(973\) | −4.24119e12 | − | 4.24119e12i | −0.151698 | − | 0.151698i | ||||
\(974\) | 1.84983e13 | 0.658594 | ||||||||
\(975\) | −2.53788e13 | + | 3.22396e13i | −0.899394 | + | 1.14253i | ||||
\(976\) | −2.21488e13 | −0.781314 | ||||||||
\(977\) | −1.73064e13 | − | 1.73064e13i | −0.607689 | − | 0.607689i | 0.334652 | − | 0.942342i | \(-0.391381\pi\) |
−0.942342 | + | 0.334652i | \(0.891381\pi\) | |||||||
\(978\) | −6.22655e12 | + | 4.01624e13i | −0.217632 | + | 1.40377i | ||||
\(979\) | − | 6.62807e12i | − | 0.230603i | ||||||
\(980\) | 1.87372e13 | − | 2.46868e13i | 0.648916 | − | 0.854963i | ||||
\(981\) | 3.46146e12 | − | 1.08952e13i | 0.119330 | − | 0.375599i | ||||
\(982\) | −5.17675e12 | + | 5.17675e12i | −0.177646 | + | 0.177646i | ||||
\(983\) | 3.75846e13 | − | 3.75846e13i | 1.28387 | − | 1.28387i | 0.345416 | − | 0.938450i | \(-0.387738\pi\) |
0.938450 | − | 0.345416i | \(-0.112262\pi\) | |||||||
\(984\) | 1.17459e12 | + | 1.60562e12i | 0.0399400 | + | 0.0545964i | ||||
\(985\) | −1.78207e12 | + | 2.44163e11i | −0.0603202 | + | 0.00826449i | ||||
\(986\) | − | 4.30230e13i | − | 1.44962i | ||||||
\(987\) | −1.06901e13 | − | 1.65733e12i | −0.358553 | − | 0.0555881i | ||||
\(988\) | −5.38296e13 | − | 5.38296e13i | −1.79728 | − | 1.79728i | ||||
\(989\) | −3.43554e13 | −1.14186 | ||||||||
\(990\) | 3.29658e12 | − | 1.90380e13i | 0.109070 | − | 0.629889i | ||||
\(991\) | 1.67854e13 | 0.552840 | 0.276420 | − | 0.961037i | \(-0.410852\pi\) | ||||
0.276420 | + | 0.961037i | \(0.410852\pi\) | |||||||
\(992\) | 3.15956e13 | + | 3.15956e13i | 1.03592 | + | 1.03592i | ||||
\(993\) | 3.52341e13 | + | 5.46251e12i | 1.14998 | + | 0.178287i | ||||
\(994\) | 1.43081e13i | 0.464884i | ||||||||
\(995\) | −1.06836e13 | − | 8.10884e12i | −0.345552 | − | 0.262274i | ||||
\(996\) | 2.41244e13 | + | 3.29770e13i | 0.776763 | + | 1.06180i | ||||
\(997\) | −1.15138e13 | + | 1.15138e13i | −0.369056 | + | 0.369056i | −0.867133 | − | 0.498077i | \(-0.834040\pi\) |
0.498077 | + | 0.867133i | \(0.334040\pi\) | |||||||
\(998\) | 4.14258e13 | − | 4.14258e13i | 1.32185 | − | 1.32185i | ||||
\(999\) | −3.41261e13 | + | 1.14595e13i | −1.08403 | + | 0.364017i |
(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 | 15.10.e.a.8.15 | yes | 32 | |
3.2 | odd | 2 | inner | 15.10.e.a.8.2 | yes | 32 | |
5.2 | odd | 4 | inner | 15.10.e.a.2.2 | ✓ | 32 | |
5.3 | odd | 4 | 75.10.e.f.32.15 | 32 | |||
5.4 | even | 2 | 75.10.e.f.68.2 | 32 | |||
15.2 | even | 4 | inner | 15.10.e.a.2.15 | yes | 32 | |
15.8 | even | 4 | 75.10.e.f.32.2 | 32 | |||
15.14 | odd | 2 | 75.10.e.f.68.15 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
15.10.e.a.2.2 | ✓ | 32 | 5.2 | odd | 4 | inner | |
15.10.e.a.2.15 | yes | 32 | 15.2 | even | 4 | inner | |
15.10.e.a.8.2 | yes | 32 | 3.2 | odd | 2 | inner | |
15.10.e.a.8.15 | yes | 32 | 1.1 | even | 1 | trivial | |
75.10.e.f.32.2 | 32 | 15.8 | even | 4 | |||
75.10.e.f.32.15 | 32 | 5.3 | odd | 4 | |||
75.10.e.f.68.2 | 32 | 5.4 | even | 2 | |||
75.10.e.f.68.15 | 32 | 15.14 | odd | 2 |